From 89b6d2e40b56916139eb2c3b3b57964f561c182b Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 20:02:25 +0200 Subject: [PATCH 001/127] Add the yacht dice (from other git) world to the yacht dice fork --- worlds/yachtdice/Items.py | 68 +++++ worlds/yachtdice/Locations.py | 62 +++++ worlds/yachtdice/Options.py | 217 +++++++++++++++ worlds/yachtdice/Rules.py | 196 +++++++++++++ worlds/yachtdice/YachtWeights.py | 8 + worlds/yachtdice/__init__.py | 383 ++++++++++++++++++++++++++ worlds/yachtdice/docs/en_YachtDice.md | 22 ++ worlds/yachtdice/docs/setup_en.md | 21 ++ 8 files changed, 977 insertions(+) create mode 100644 worlds/yachtdice/Items.py create mode 100644 worlds/yachtdice/Locations.py create mode 100644 worlds/yachtdice/Options.py create mode 100644 worlds/yachtdice/Rules.py create mode 100644 worlds/yachtdice/YachtWeights.py create mode 100644 worlds/yachtdice/__init__.py create mode 100644 worlds/yachtdice/docs/en_YachtDice.md create mode 100644 worlds/yachtdice/docs/setup_en.md diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py new file mode 100644 index 000000000000..74300b380f9b --- /dev/null +++ b/worlds/yachtdice/Items.py @@ -0,0 +1,68 @@ +from BaseClasses import Item, ItemClassification +import typing + +class ItemData(typing.NamedTuple): + code: typing.Optional[int] + classification: ItemClassification + +class YachtDiceItem(Item): + game: str = "Yacht Dice" + +#the starting index is chosen semi-randomly to be 16871244000 + +item_table = { + "Victory": ItemData(16871244000-1, ItemClassification.progression), + + "Dice": ItemData(16871244000, ItemClassification.progression), + "Dice Fragment": ItemData(16871244001, ItemClassification.progression), + "Roll": ItemData(16871244002, ItemClassification.progression), + "Roll Fragment": ItemData(16871244003, ItemClassification.progression), + "Score Multiplier": ItemData(16871244004, ItemClassification.progression), + + "Category Ones": ItemData(16871244103, ItemClassification.progression), + "Category Twos": ItemData(16871244104, ItemClassification.progression), + "Category Threes": ItemData(16871244105, ItemClassification.progression), + "Category Fours": ItemData(16871244106, ItemClassification.progression), + "Category Fives": ItemData(16871244107, ItemClassification.progression), + "Category Sixes": ItemData(16871244108, ItemClassification.progression), + "Category Choice": ItemData(16871244109, ItemClassification.progression), + "Category Inverse Choice": ItemData(16871244110, ItemClassification.progression), + "Category Pair": ItemData(16871244111, ItemClassification.progression), + "Category Three of a Kind": ItemData(16871244112, ItemClassification.progression), + "Category Four of a Kind": ItemData(16871244113, ItemClassification.progression), + "Category Tiny Straight": ItemData(16871244114, ItemClassification.progression), + "Category Small Straight": ItemData(16871244115, ItemClassification.progression), + "Category Large Straight": ItemData(16871244116, ItemClassification.progression), + "Category Full House": ItemData(16871244117, ItemClassification.progression), + "Category Yacht": ItemData(16871244118, ItemClassification.progression), + + "Category Distincts": ItemData(16871244123, ItemClassification.progression), + "Category Two times Ones": ItemData(16871244124, ItemClassification.progression), + "Category Half of Sixes": ItemData(16871244125, ItemClassification.progression), + "Category Twos and Threes": ItemData(16871244126, ItemClassification.progression), + "Category Sum of Odds": ItemData(16871244127, ItemClassification.progression), + "Category Sum of Evens": ItemData(16871244128, ItemClassification.progression), + "Category Double Threes and Fours": ItemData(16871244129, ItemClassification.progression), + "Category Quadruple Ones and Twos": ItemData(16871244130, ItemClassification.progression), + "Category Micro Straight": ItemData(16871244131, ItemClassification.progression), + "Category Three Odds": ItemData(16871244132, ItemClassification.progression), + "Category 1-2-1 Consecutive": ItemData(16871244133, ItemClassification.progression), + "Category Three Distinct Dice": ItemData(16871244134, ItemClassification.progression), + "Category Two Pair": ItemData(16871244135, ItemClassification.progression), + "Category 2-1-2 Consecutive": ItemData(16871244136, ItemClassification.progression), + "Category Five Distinct Dice": ItemData(16871244137, ItemClassification.progression), + "Category 4&5 Full House": ItemData(16871244138, ItemClassification.progression), + + + + "Encouragement": ItemData(16871244200, ItemClassification.filler), + "Fun Fact": ItemData(16871244201, ItemClassification.filler), + "Story Chapter": ItemData(16871244202, ItemClassification.filler), + "Good RNG": ItemData(16871244203, ItemClassification.filler), + "Bad RNG": ItemData(16871244204, ItemClassification.trap), + "Extra Point": ItemData(16871244205, ItemClassification.useful), + + "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), + "10 Points": ItemData(16871244302, ItemClassification.progression), + "100 Points": ItemData(16871244303, ItemClassification.progression) +} \ No newline at end of file diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py new file mode 100644 index 000000000000..b54e896a6aca --- /dev/null +++ b/worlds/yachtdice/Locations.py @@ -0,0 +1,62 @@ +from BaseClasses import Location +import typing + +class LocData(typing.NamedTuple): + id: int + region: str + score: int + +class YachtDiceLocation(Location): + game: str = "Yacht Dice" + + def __init__(self, player: int, name: str, score: int, address: typing.Optional[int], parent): + super().__init__(player, name, address, parent) + self.yacht_dice_score = score + self.event = not address + +all_locations = {} +starting_index = 16871244500 #500 more than the startin index for items + +#Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 +def all_locations_fun(max_score): + location_table = {} + for i in range(max_score+1): + location_table[f"{i} score"] = LocData(starting_index+i, "Board", i) + return location_table + +#function that loads in all locations necessary for the game, so based on options. +def ini_locations(max_score, num_locs, dif): + location_table = {} + + scaling = 2 #parameter that determines how many low-score location there are. + #need more low-score locations or lower difficulties: + if dif == 1: + scaling = 3 + elif dif == 2: + scaling = 2.2 + + #the scores follow the function int( 1 + (perc ** scaling) * (max_score-1) ) + #however, this will have many low values, sometimes repeating. + #to avoid repeating scores, hiscore keeps tracks of the highest score location + #and the next score will always be at least hiscore + 1 + #note that curscore is at most max_score-1 + hiscore = 0 + for i in range(num_locs): + perc = (i/num_locs) + curscore = int( 1 + (perc ** scaling) * (max_score-2) ) + if(curscore <= hiscore): + curscore = hiscore + 1 + hiscore = curscore + location_table[f"{curscore} score"] = LocData(starting_index + curscore, "Board", curscore) + + #Finally, add a check for the actual max_score. + #This is *not* counted in num_locs, since the victory items is not as well. + location_table[f"{max_score} score"] = LocData(starting_index + max_score, "Board", max_score) + + return location_table + +lookup_id_to_name: typing.Dict[int, str] = {data.id: item_name for item_name, data in all_locations.items() if data.id} + +# we need to run this function to initialize all scores from 1 to 1000, even though not all are used +# this in order to make sure no other worlds use any ids that are similar to Yacht Dice +all_locations = all_locations_fun(1000) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py new file mode 100644 index 000000000000..65b8d497833f --- /dev/null +++ b/worlds/yachtdice/Options.py @@ -0,0 +1,217 @@ +from Options import Choice, Range, PerGameCommonOptions +from dataclasses import dataclass + +class numberOfDiceAndRolls(Choice): + """ + Total number of dice and rolls in the pool. + You start with one dice and one roll. + This option does not change the final goal. + """ + display_name = "Number of dice and rolls in pool" + option_5_dice_and_5_rolls = 5 + option_6_dice_and_4_rolls = 6 + option_7_dice_and_3_rolls = 7 + option_8_dice_and_2_rolls = 8 + default = 5 + +# class numberOfExtraRolls(Range): +# """Total number of extra rolls you can add to your collection. +# Wait this is always 4? Yes, I removed other options, but they might return.""" +# display_name = "Number of extra rolls" +# range_start = 4 +# range_end = 4 +# default = 4 + +class numberDiceFragmentsPerDice(Range): + """ + Dice can be split into fragments, gathering enough will give you an extra dice. + You start with one dice, and there will always be one full dice in the pool. + The other dice are split into fragments, according to this setting. + Setting this to 1 fragment per dice, just puts 'Dice' objects in the pool. + """ + display_name = "Number of dice fragments per dice" + range_start = 1 + range_end = 5 + default = 4 + + + +class numberRollFragmentsPerRoll(Range): + """ + Rolls can be split into fragments, gathering enough will give you an extra roll. + You start with one roll, and there will always be one full roll in the pool. + The other three rolls are split into fragments, according to this setting. + Setting this to 1 fragment per roll, just puts 'Roll' objects in the pool. + """ + display_name = "Number of roll fragments per roll" + range_start = 1 + range_end = 5 + default = 4 + + +class numberExtraDiceFragments(Range): + """ + Number of extra dice fragments in the pool. + The number cannot exceed the number of dice fragments per dice, + if it does, the generation will lower this setting automatically. + The option will never give an extra full dice, but makes it easier to collect all dice. + """ + display_name = "Number of extra dice fragments in the pool" + range_start = 1 + range_end = 4 + default = 3 + + + +class numberExtraRollFragments(Range): + """ + Number of extra roll fragments in the pool. + The number cannot exceed the number of roll fragments per roll + if it does, the generation will lower this setting automatically. + The option will never give an extra full roll, but makes it easier to collect all roll. + """ + display_name = "Number of extra roll fragments in the pool" + range_start = 1 + range_end = 4 + default = 3 + + +class gameDifficulty(Choice): + """ + Difficulty. This setting determines how difficult the scores are to achieve. + Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. + Medium: intended difficulty. If you play smart, you'll finish the game without any trouble. + Hard: you may need to play smart, be lucky and understand the score multiplier mechanic. Higher final goal. + Extreme: more strict logic, higher final goal. NOT RECOMMENDED FOR MULTIWORLDS. + """ + display_name = "Game difficulty" + option_easy = 1 + option_medium = 2 + option_hard = 3 + option_extreme = 4 + + default = 2 + + +class goalLocationPercentage(Range): + """ + What percentage of checks you need to get, to 'finish' the game. + Low percentage means you can probably 'finish' the game with some of the dice/rolls/categories. + High percentage means you need most of the useful items, and on higher difficulties you might need them all. + """ + display_name = "Goal percentage location" + range_start = 70 + range_end = 100 + default = 90 + + + +class scoreMultiplierType(Choice): + """ + There are 10 Score Multiplier items available. + This options decides how the Score Multipliers work. + Both options are of similar difficulty. + + fixed_multiplier: every multiplier item gives you +10%. + Every score gets multiplied with the multiplier. + So with all score multipliers, all scores get +100%. + + step_multiplier: every multiplier item gives you +1%. + Your multiplier increases with this percentage after every turn. + So in the first turn you have no multiplier, but in turn 16, you can have a +150% multiplier. + So, save your high-scoring categories for last. This option allow for more strategic games. + """ + display_name = "Score multiplier type" + option_fixed_multiplier = 1 + option_step_multiplier = 2 + default = 1 + +class pointsGameMode(Choice): + """ + This extra game mode shuffles many points items in the pool, + and your goal is to reach a score of 1000. + + yes_1_per_item: hundreds of "1 Point" items are shuffled into the pool. + NOT recommended in multiplayer, unless everyone is aware of the hundred of extra items + + yes_10_per_item: puts tens of "10 Points" (and a few 1 Points) into the item pool. + + yes_100_per_item: puts a few "100 Points" (and a few 1 and 10 Points) into the item pool. + Warning: will unlock many checks if an 100 Points item is collected. + """ + display_name = "Extra points game mode" + option_no_thanks = 1 + option_yes_1_per_item = 2 + option_yes_10_per_item = 3 + option_yes_100_per_item = 4 + default = 1 + +class minimizeExtraItems(Choice): + """ + Would you like to minimize the number of extra items in the pool? + Note that if you put this on, categories Fives, Sixes and Pair are put early into the playthrough. + """ + display_name = "Minimize extra items" + option_no_dont = 1 + option_yes_please = 2 + default = 1 + +class addExtraPoints(Choice): + """ + Yacht Dice typically has space for more items. + Would you like extra points shuffled in the item pool? + They make the game a little bit easier, as they are not considered in the logic. + all_of_it: put as many extra points in locations as possible + sure: put some extra points in + never: don't but any extra points + """ + display_name = "Extra points in the pool" + option_all_of_it = 1 + option_sure = 2 + option_never = 3 + default = 2 + +class addStoryChapters(Choice): + """ + Yacht Dice typically has space for more items. + Would you like story chapters shuffled in the item pool? + Note: if you have extra points on "all_of_it" there won't be story chapters. + """ + display_name = "Extra story chapters in the pool" + option_all_of_it = 1 + option_sure = 2 + option_never = 3 + default = 2 + +class whichStory(Choice): + """ + The most important part of Yacht Dice is the narrative. + 10 story chapters are shuffled into the item pool. + You can read them in the feed on the website. + Which story would you like to read? + """ + display_name = "Story" + option_the_quest_of_the_dice_warrior = 1 + option_the_tragedy_of_fortunas_gambit = 2 + option_the_dicey_animal_dice_game = 3 + option_whispers_of_fate = 4 + option_a_yacht_dice_odyssey = 5 + option_a_rollin_rhyme_adventure = 6 + option_random_story = -1 + default = -1 + +@dataclass +class YachtDiceOptions(PerGameCommonOptions): + number_of_dice_and_rolls: numberOfDiceAndRolls + number_of_dice_fragments_per_dice: numberDiceFragmentsPerDice + number_of_extra_dice_fragments: numberExtraDiceFragments + number_of_roll_fragments_per_roll: numberRollFragmentsPerRoll + number_of_extra_roll_fragments: numberExtraRollFragments + game_difficulty: gameDifficulty + goal_location_percentage: goalLocationPercentage + score_multiplier_type: scoreMultiplierType + points_game_mode: pointsGameMode + minimize_extra_items: minimizeExtraItems + add_extra_points: addExtraPoints + add_story_chapters: addStoryChapters + which_story: whichStory \ No newline at end of file diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py new file mode 100644 index 000000000000..9ce12271a40f --- /dev/null +++ b/worlds/yachtdice/Rules.py @@ -0,0 +1,196 @@ +from ..generic.Rules import set_rule +from BaseClasses import MultiWorld +from .YachtWeights import yacht_weights +import math + +#This class adds logic to the apworld. +#In short, we ran a simulation for every possible combination of dice and rolls you can have, per category. +#This simulation has a good strategy for locking dice. +#This gives rise to an approximate discrete distribution per category. +#We calculate the distribution of the total score. +#We then pick a correct percentile to reflect the correct score that should be in logic. +#The score is logic is *much* lower than the actual maximum reachable score. + +class Category: + def __init__(self, name): + self.name = name + + #return mean score of a category + def meanScore(self, nbDice, nbRolls): + if nbDice == 0 or nbRolls == 0: + return 0 + meanScore = 0 + for key in yacht_weights[self.name, min(8,nbDice), min(8,nbRolls)]: + meanScore += key*yacht_weights[self.name, min(8,nbDice), min(8,nbRolls)][key]/100000 + return meanScore + + + +def extractProgression(state, player, options): + #method to obtain a list of what items the player has. + #this includes categories, dice, rolls and score multiplier. + + number_of_dice = ( + state.count("Dice", player) + + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value + ) + + number_of_rerolls = ( + state.count("Roll", player) + + state.count("Roll Fragment", player) // options.number_of_roll_fragments_per_roll.value + ) + + number_of_mults = state.count("Score Multiplier", player) + + + score_mult = -10000 + if options.score_multiplier_type.value == 1: #fixed + score_mult = 0.1 * number_of_mults + if options.score_multiplier_type.value == 2: #step + score_mult = 0.01 * number_of_mults + + categories = [] + + if state.has("Category Choice", player, 1): + categories.append(Category("Choice")) + if state.has("Category Inverse Choice", player, 1): + categories.append(Category("Choice")) + if state.has("Category Sixes", player, 1): + categories.append(Category("Sixes")) + if state.has("Category Fives", player, 1): + categories.append(Category("Fives")) + if state.has("Category Tiny Straight", player, 1): + categories.append(Category("TinyStraight")) + if state.has("Category Threes", player, 1): + categories.append(Category("Threes")) + if state.has("Category Fours", player, 1): + categories.append(Category("Fours")) + if state.has("Category Pair", player, 1): + categories.append(Category("Pair")) + if state.has("Category Three of a Kind", player, 1): + categories.append(Category("ThreeOfAKind")) + if state.has("Category Four of a Kind", player, 1): + categories.append(Category("FourOfAKind")) + if state.has("Category Ones", player, 1): + categories.append(Category("Ones")) + if state.has("Category Twos", player, 1): + categories.append(Category("Twos")) + if state.has("Category Small Straight", player, 1): + categories.append(Category("SmallStraight")) + if state.has("Category Large Straight", player, 1): + categories.append(Category("LargeStraight")) + if state.has("Category Full House", player, 1): + categories.append(Category("FullHouse")) + if state.has("Category Yacht", player, 1): + categories.append(Category("Yacht")) + + + extra_points_in_logic = state.count("1 Point", player) + extra_points_in_logic += state.count("10 Points", player) * 10 + extra_points_in_logic += state.count("100 Points", player) * 100 + + + return [categories, number_of_dice, number_of_rerolls, score_mult, extra_points_in_logic] + +#We will store the results of this function as it is called often for the same parameters. +yachtdice_cache = {} + +#Function that returns the feasible score in logic based on items obtained. +def diceSimulationStrings(categories, nbDice, nbRolls, multiplier, diff, scoremulttype): + tup = tuple([tuple(sorted([c.name for c in categories])), nbDice, nbRolls, multiplier]) #identifier + + #if already computed, return the result + if tup in yachtdice_cache.keys(): + return yachtdice_cache[tup] + + #sort categories because for the step multiplier, you will want low-scorig categories first + categories.sort(key=lambda category: category.meanScore(nbDice, nbRolls)) + + #function to add two discrete distribution. + def add_distributions(dist1, dist2, mult): + combined_dist = {} + for val1, prob1 in dist1.items(): + for val2, prob2 in dist2.items(): + if int(val1 + val2 * mult) in combined_dist.keys(): + combined_dist[int(val1 + val2 * mult)] += prob1 * prob2 + else: + combined_dist[int(val1 + val2 * mult)] = prob1 * prob2 + return combined_dist + + #function to take the maximum of 'times' i.i.d. dist1. + def max_dist(dist1, times): + new_dist = {0: 1} + for _ in range(times): + c = new_dist.copy() + new_dist = {} + for val1, prob1 in c.items(): + for val2, prob2 in dist1.items(): + new_val = max(val1, val2) + new_prob = prob1 * prob2 + + # Update the probability for the new value + if new_val in new_dist: + new_dist[new_val] += new_prob + else: + new_dist[new_val] = new_prob + + return new_dist + + #Returns percentile value of a distribution. + def percentile_distribution(dist, percentile): + sorted_values = sorted(dist.keys()) + cumulative_prob = 0 + prev_val = None + + for val in sorted_values: + prev_val = val + cumulative_prob += dist[val] + if cumulative_prob >= percentile: + return prev_val # Return the value before reaching the desired percentile + + # Return the first value if percentile is lower than all probabilities + return prev_val if prev_val is not None else sorted_values[0] + + #calculate total distribution + total_dist = {0: 1} + for j in range(len(categories)): + if nbDice == 0 or nbRolls == 0: + dist = {0: 100000} + else: + dist = yacht_weights[categories[j].name, min(8,nbDice), min(8,nbRolls)].copy() + + for key in dist.keys(): + dist[key] /= 100000 + + #for higher difficulties, the simulation gets multiple tries for categories. + dist = max_dist(dist, max(1, len(categories) // (6 - diff))) + + cur_mult = -100 + if scoremulttype == 1: #fixed + cur_mult = multiplier + if scoremulttype == 2: #step + cur_mult = j * multiplier + total_dist = add_distributions(total_dist, dist, 1 + cur_mult ) + + #save result into the cache, then return it + yachtdice_cache[tup] = math.floor(percentile_distribution(total_dist, .40)) + return yachtdice_cache[tup] + +# Returns the feasible score that one can reach with the current state, options and difficulty. +def diceSimulation(state, player, options): + categories, nbDice, nbRolls, multiplier, expoints = extractProgression(state, player, options) + return diceSimulationStrings(categories, nbDice, nbRolls, multiplier, + options.game_difficulty.value, options.score_multiplier_type.value) + expoints + +# Sets rules on entrances and advancements that are always applied +def set_yacht_rules(world: MultiWorld, player: int, options): + for l in world.get_locations(player): + set_rule(l, + lambda state, + curscore=l.yacht_dice_score, + player=player: + diceSimulation(state, player, options) >= curscore) + +# Sets rules on completion condition +def set_yacht_completion_rules(world: MultiWorld, player: int): + world.completion_condition[player] = lambda state: state.has("Victory", player) \ No newline at end of file diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py new file mode 100644 index 000000000000..44403d1dd685 --- /dev/null +++ b/worlds/yachtdice/YachtWeights.py @@ -0,0 +1,8 @@ +# A file containing the results of our simulations. +# Every entry consists of a key. This key has input category, number of dice, and number of rolls. +# The value then shows a list of all possible scores to get, and how many times of 100000 it achieved. + +#example: ("Choice", 2, 2): {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} +#this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. +#13639 out of 100000 times, a score of 8 was achieved for example. +yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("Twos", 0, 0): {0: 100000}, ("Twos", 0, 1): {0: 100000}, ("Twos", 0, 2): {0: 100000}, ("Twos", 0, 3): {0: 100000}, ("Twos", 0, 4): {0: 100000}, ("Twos", 0, 5): {0: 100000}, ("Twos", 0, 6): {0: 100000}, ("Twos", 0, 7): {0: 100000}, ("Twos", 0, 8): {0: 100000}, ("Twos", 1, 0): {0: 100000}, ("Twos", 1, 1): {0: 83475, 2: 16525}, ("Twos", 1, 2): {0: 69690, 2: 30310}, ("Twos", 1, 3): {0: 57818, 2: 42182}, ("Twos", 1, 4): {0: 48418, 2: 51582}, ("Twos", 1, 5): {2: 59699, 0: 40301}, ("Twos", 1, 6): {2: 66442, 0: 33558}, ("Twos", 1, 7): {2: 71818, 0: 28182}, ("Twos", 1, 8): {0: 23406, 2: 76594}, ("Twos", 2, 0): {0: 100000}, ("Twos", 2, 1): {0: 69724, 2: 27485, 4: 2791}, ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, ("Twos", 2, 4): {2: 49957, 4: 26907, 0: 23136}, ("Twos", 2, 5): {4: 35654, 2: 48200, 0: 16146}, ("Twos", 2, 6): {4: 44420, 2: 44497, 0: 11083}, ("Twos", 2, 7): {4: 51995, 2: 40343, 0: 7662}, ("Twos", 2, 8): {4: 59120, 2: 35526, 0: 5354}, ("Twos", 3, 0): {0: 100000}, ("Twos", 3, 1): {2: 34522, 0: 58021, 4: 6995, 6: 462}, ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 19358, 6: 2833}, ("Twos", 3, 3): {2: 42372, 4: 30748, 0: 19375, 6: 7505}, ("Twos", 3, 4): {6: 13998, 4: 38569, 2: 36435, 0: 10998}, ("Twos", 3, 5): {4: 43283, 2: 28838, 6: 21360, 0: 6519}, ("Twos", 3, 6): {6: 29650, 4: 44233, 2: 22498, 0: 3619}, ("Twos", 3, 7): {6: 37142, 2: 16979, 4: 43684, 0: 2195}, ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, ("Twos", 4, 0): {0: 100000}, ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, ("Twos", 5, 0): {0: 100000}, ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 2658}, ("Twos", 5, 5): {4: 23643, 8: 25853, 10: 7495, 6: 33993, 0: 1032, 2: 7984}, ("Twos", 5, 6): {6: 32774, 2: 4152, 8: 32900, 10: 13183, 0: 450, 4: 16541}, ("Twos", 5, 7): {6: 29481, 8: 37636, 10: 19256, 4: 11231, 2: 2226, 0: 170}, ("Twos", 5, 8): {10: 26467, 8: 40798, 6: 23993, 4: 7571, 2: 1108, 0: 63}, ("Twos", 6, 0): {0: 100000}, ("Twos", 6, 1): {0: 33502, 4: 19717, 2: 40413, 6: 5481, 8: 815, 10: 68, 12: 4}, ("Twos", 6, 2): {2: 29638, 8: 6339, 4: 32701, 0: 11210, 6: 18988, 10: 1046, 12: 78}, ("Twos", 6, 3): {6: 29102, 2: 16459, 8: 15825, 4: 29795, 0: 3673, 10: 4581, 12: 565}, ("Twos", 6, 4): {2: 8048, 8: 25066, 4: 21977, 6: 31053, 10: 10654, 12: 1959, 0: 1243}, ("Twos", 6, 5): {10: 18355, 4: 13949, 6: 28142, 8: 30723, 2: 3753, 12: 4637, 0: 441}, ("Twos", 6, 6): {10: 26213, 6: 22222, 4: 8455, 8: 32692, 12: 8618, 2: 1679, 0: 121}, ("Twos", 6, 7): {10: 32532, 8: 31410, 6: 16142, 12: 14270, 4: 4871, 2: 728, 0: 47}, ("Twos", 6, 8): {12: 20612, 6: 11432, 10: 37237, 8: 27864, 4: 2544, 2: 299, 0: 12}, ("Twos", 7, 0): {0: 100000}, ("Twos", 7, 1): {2: 39060, 0: 27683, 8: 1580, 4: 23574, 6: 7899, 10: 192, 12: 12}, ("Twos", 7, 2): {2: 24031, 6: 23095, 4: 31764, 0: 7824, 8: 10154, 10: 2733, 12: 376, 14: 23}, ("Twos", 7, 3): {2: 11019, 6: 29599, 10: 9338, 8: 21250, 0: 2148, 4: 24197, 12: 2233, 14: 216}, ("Twos", 7, 4): {10: 18080, 6: 26395, 4: 14571, 8: 28409, 2: 4465, 12: 6519, 14: 997, 0: 564}, ("Twos", 7, 5): {8: 29039, 2: 1738, 10: 26129, 6: 19287, 4: 7911, 14: 2798, 12: 12923, 0: 175}, ("Twos", 7, 6): {8: 25752, 10: 30413, 6: 12897, 14: 5951, 12: 20324, 4: 3961, 0: 54, 2: 648}, ("Twos", 7, 7): {12: 27347, 14: 10079, 10: 32054, 6: 8007, 8: 20334, 4: 1926, 2: 240, 0: 13}, ("Twos", 7, 8): {8: 15233, 10: 30248, 14: 15699, 12: 33276, 6: 4602, 4: 861, 2: 76, 0: 5}, ("Twos", 8, 0): {0: 100000}, ("Twos", 8, 1): {0: 23378, 6: 10451, 2: 37157, 4: 26082, 8: 2497, 10: 391, 12: 44}, ("Twos", 8, 2): {8: 14198, 4: 29216, 12: 1104, 6: 25677, 0: 5420, 2: 19164, 10: 5089, 14: 127, 16: 5}, ("Twos", 8, 3): {4: 18793, 12: 5201, 6: 27054, 10: 14462, 8: 24712, 2: 7289, 14: 1109, 0: 1271, 16: 109}, ("Twos", 8, 4): {8: 27389, 12: 12609, 10: 23232, 4: 9310, 6: 20242, 14: 3815, 16: 514, 2: 2604, 0: 285}, ("Twos", 8, 5): {10: 27882, 12: 20768, 16: 1604, 6: 12669, 8: 23322, 14: 8692, 4: 4184, 0: 58, 2: 821}, ("Twos", 8, 6): {8: 17148, 12: 27048, 10: 27398, 14: 15513, 6: 6992, 16: 3860, 2: 251, 4: 1774, 0: 16}, ("Twos", 8, 7): {8: 11479, 10: 23675, 6: 3547, 14: 22454, 12: 30829, 16: 7275, 4: 667, 2: 71, 0: 3}, ("Twos", 8, 8): {10: 18697, 14: 28983, 12: 31310, 16: 11977, 4: 286, 8: 6980, 6: 1746, 2: 21}, ("Threes", 0, 0): {0: 100000}, ("Threes", 0, 1): {0: 100000}, ("Threes", 0, 2): {0: 100000}, ("Threes", 0, 3): {0: 100000}, ("Threes", 0, 4): {0: 100000}, ("Threes", 0, 5): {0: 100000}, ("Threes", 0, 6): {0: 100000}, ("Threes", 0, 7): {0: 100000}, ("Threes", 0, 8): {0: 100000}, ("Threes", 1, 0): {0: 100000}, ("Threes", 1, 1): {0: 83343, 3: 16657}, ("Threes", 1, 2): {0: 69569, 3: 30431}, ("Threes", 1, 3): {0: 57872, 3: 42128}, ("Threes", 1, 4): {3: 51919, 0: 48081}, ("Threes", 1, 5): {0: 40271, 3: 59729}, ("Threes", 1, 6): {3: 66799, 0: 33201}, ("Threes", 1, 7): {3: 72097, 0: 27903}, ("Threes", 1, 8): {3: 76760, 0: 23240}, ("Threes", 2, 0): {0: 100000}, ("Threes", 2, 1): {0: 69419, 6: 2783, 3: 27798}, ("Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, ("Threes", 2, 3): {6: 17775, 0: 33376, 3: 48849}, ("Threes", 2, 4): {3: 49810, 6: 26914, 0: 23276}, ("Threes", 2, 5): {6: 36190, 3: 47718, 0: 16092}, ("Threes", 2, 6): {6: 44253, 3: 44515, 0: 11232}, ("Threes", 2, 7): {6: 51952, 3: 40459, 0: 7589}, ("Threes", 2, 8): {3: 35804, 6: 58749, 0: 5447}, ("Threes", 3, 0): {0: 100000}, ("Threes", 3, 1): {0: 57964, 6: 6868, 3: 34701, 9: 467}, ("Threes", 3, 2): {3: 44263, 0: 33637, 6: 19213, 9: 2887}, ("Threes", 3, 3): {3: 42382, 6: 30676, 0: 19520, 9: 7422}, ("Threes", 3, 4): {3: 35772, 6: 39042, 0: 11265, 9: 13921}, ("Threes", 3, 5): {3: 28916, 9: 21404, 6: 43261, 0: 6419}, ("Threes", 3, 6): {3: 22496, 9: 29306, 6: 44388, 0: 3810}, ("Threes", 3, 7): {6: 43720, 9: 37231, 3: 16875, 0: 2174}, ("Threes", 3, 8): {9: 45070, 6: 41222, 3: 12471, 0: 1237}, ("Threes", 4, 0): {0: 100000}, ("Threes", 4, 1): {3: 38786, 0: 48121, 9: 1483, 6: 11540, 12: 70}, ("Threes", 4, 2): {3: 40989, 0: 23296, 6: 26998, 9: 7851, 12: 866}, ("Threes", 4, 3): {3: 32653, 12: 3183, 6: 35710, 9: 17221, 0: 11233}, ("Threes", 4, 4): {9: 26734, 6: 37468, 3: 23270, 12: 7065, 0: 5463}, ("Threes", 4, 5): {6: 34539, 9: 34635, 3: 15496, 12: 12639, 0: 2691}, ("Threes", 4, 6): {12: 19732, 9: 39190, 6: 29811, 3: 10046, 0: 1221}, ("Threes", 4, 7): {0: 599, 3: 6322, 6: 24420, 12: 27045, 9: 41614}, ("Threes", 4, 8): {12: 34736, 9: 42236, 6: 18843, 3: 3876, 0: 309}, ("Threes", 5, 0): {0: 100000}, ("Threes", 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3046, 12: 336, 15: 19}, ("Threes", 5, 2): {3: 35494, 0: 16197, 6: 30937, 9: 13946, 12: 3139, 15: 287}, ("Threes", 5, 3): {3: 23394, 6: 34432, 9: 25239, 15: 1325, 12: 9027, 0: 6583}, ("Threes", 5, 4): {6: 30134, 9: 32371, 12: 17169, 0: 2636, 3: 14072, 15: 3618}, ("Threes", 5, 5): {6: 23010, 3: 7804, 9: 34811, 12: 25702, 15: 7598, 0: 1075}, ("Threes", 5, 6): {9: 32809, 12: 32892, 6: 16654, 3: 4234, 15: 12993, 0: 418}, ("Threes", 5, 7): {6: 11416, 12: 37604, 15: 19543, 9: 29072, 3: 2203, 0: 162}, ("Threes", 5, 8): {9: 24603, 15: 26464, 12: 40262, 6: 7425, 3: 1175, 0: 71}, ("Threes", 6, 0): {0: 100000}, ("Threes", 6, 1): {0: 33473, 6: 20151, 3: 40175, 9: 5369, 12: 775, 15: 55, 18: 2}, ("Threes", 6, 2): {3: 29592, 9: 19287, 0: 11147, 6: 32630, 12: 6160, 15: 1102, 18: 82}, ("Threes", 6, 3): {12: 15888, 9: 29006, 3: 16528, 0: 3628, 6: 29814, 15: 4565, 18: 571}, ("Threes", 6, 4): {9: 30953, 15: 10810, 18: 1919, 6: 21987, 12: 24833, 3: 8236, 0: 1262}, ("Threes", 6, 5): {6: 13949, 9: 27798, 15: 18256, 12: 31197, 3: 3820, 18: 4564, 0: 416}, ("Threes", 6, 6): {9: 22175, 12: 32897, 15: 26264, 18: 8496, 6: 8372, 3: 1642, 0: 154}, ("Threes", 6, 7): {12: 31385, 15: 32666, 18: 14084, 9: 16346, 6: 4728, 3: 740, 0: 51}, ("Threes", 6, 8): {12: 28320, 15: 36982, 3: 297, 9: 11202, 18: 20528, 6: 2651, 0: 20}, ("Threes", 7, 0): {0: 100000}, ("Threes", 7, 1): {9: 7886, 3: 39105, 0: 27933, 6: 23338, 12: 1559, 15: 170, 21: 2, 18: 7}, ("Threes", 7, 2): {9: 23110, 6: 31832, 3: 23896, 12: 10218, 0: 7794, 15: 2739, 18: 392, 21: 19}, ("Threes", 7, 3): {3: 11098, 9: 29316, 6: 24140, 0: 2138, 12: 21386, 15: 9413, 18: 2263, 21: 246}, ("Threes", 7, 4): {9: 26233, 12: 28244, 18: 6438, 15: 18118, 3: 4648, 6: 14737, 0: 590, 21: 992}, ("Threes", 7, 5): {15: 26078, 9: 19439, 12: 28977, 18: 12957, 6: 7953, 21: 2655, 3: 1777, 0: 164}, ("Threes", 7, 6): {15: 30535, 18: 20208, 12: 25793, 9: 13025, 6: 3938, 21: 5783, 3: 664, 0: 54}, ("Threes", 7, 7): {15: 31859, 21: 10191, 9: 7941, 12: 20571, 18: 27374, 6: 1790, 3: 267, 0: 7}, ("Threes", 7, 8): {15: 30313, 18: 33133, 21: 15727, 12: 15117, 9: 4747, 6: 854, 3: 104, 0: 5}, ("Threes", 8, 0): {0: 100000}, ("Threes", 8, 1): {3: 37232, 9: 10377, 0: 23337, 6: 25968, 12: 2630, 15: 423, 18: 31, 21: 2}, ("Threes", 8, 2): {6: 29232, 3: 18930, 9: 26016, 12: 14399, 15: 4847, 0: 5310, 18: 1124, 21: 138, 24: 4}, ("Threes", 8, 3): {12: 24703, 18: 5285, 9: 27141, 6: 18754, 15: 14251, 21: 1111, 0: 1328, 3: 7328, 24: 99}, ("Threes", 8, 4): {15: 23402, 9: 20607, 12: 26898, 18: 12452, 21: 3839, 6: 9554, 3: 2428, 0: 291, 24: 529}, ("Threes", 8, 5): {18: 20616, 15: 27931, 6: 4240, 21: 8743, 12: 23248, 3: 838, 9: 12608, 24: 1709, 0: 67}, ("Threes", 8, 6): {18: 27276, 9: 6890, 12: 17302, 21: 15571, 24: 3812, 6: 1657, 15: 27235, 3: 243, 0: 14}, ("Threes", 8, 7): {21: 22546, 15: 23682, 18: 30401, 12: 11580, 24: 7444, 9: 3547, 6: 718, 3: 76, 0: 6}, ("Threes", 8, 8): {18: 30657, 15: 18980, 12: 7211, 9: 1748, 24: 12037, 21: 29074, 6: 273, 3: 19, 0: 1}, ("Fours", 0, 0): {0: 100000}, ("Fours", 0, 1): {0: 100000}, ("Fours", 0, 2): {0: 100000}, ("Fours", 0, 3): {0: 100000}, ("Fours", 0, 4): {0: 100000}, ("Fours", 0, 5): {0: 100000}, ("Fours", 0, 6): {0: 100000}, ("Fours", 0, 7): {0: 100000}, ("Fours", 0, 8): {0: 100000}, ("Fours", 1, 0): {0: 100000}, ("Fours", 1, 1): {0: 83260, 4: 16740}, ("Fours", 1, 2): {0: 69514, 4: 30486}, 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17300}, ("SmallStraight", 4, 3): {0: 67926, 30: 32074}, ("SmallStraight", 4, 4): {30: 45735, 0: 54265}, ("SmallStraight", 4, 5): {0: 42130, 30: 57870}, ("SmallStraight", 4, 6): {0: 32536, 30: 67464}, ("SmallStraight", 4, 7): {0: 25008, 30: 74992}, ("SmallStraight", 4, 8): {30: 80405, 0: 19595}, ("SmallStraight", 5, 0): {0: 100000}, ("SmallStraight", 5, 1): {0: 84528, 30: 15472}, ("SmallStraight", 5, 2): {0: 60775, 30: 39225}, ("SmallStraight", 5, 3): {0: 39543, 30: 60457}, ("SmallStraight", 5, 4): {30: 75240, 0: 24760}, ("SmallStraight", 5, 5): {30: 84287, 0: 15713}, ("SmallStraight", 5, 6): {30: 89801, 0: 10199}, ("SmallStraight", 5, 7): {30: 93382, 0: 6618}, ("SmallStraight", 5, 8): {30: 95795, 0: 4205}, ("SmallStraight", 6, 0): {0: 100000}, ("SmallStraight", 6, 1): {0: 73121, 30: 26879}, ("SmallStraight", 6, 2): {30: 58168, 0: 41832}, ("SmallStraight", 6, 3): {30: 78051, 0: 21949}, ("SmallStraight", 6, 4): {30: 88696, 0: 11304}, ("SmallStraight", 6, 5): {30: 93937, 0: 6063}, ("SmallStraight", 6, 6): {30: 96638, 0: 3362}, ("SmallStraight", 6, 7): {30: 98201, 0: 1799}, ("SmallStraight", 6, 8): {30: 98931, 0: 1069}, ("SmallStraight", 7, 0): {0: 100000}, ("SmallStraight", 7, 1): {0: 61837, 30: 38163}, ("SmallStraight", 7, 2): {30: 71798, 0: 28202}, ("SmallStraight", 7, 3): {30: 87813, 0: 12187}, ("SmallStraight", 7, 4): {30: 94573, 0: 5427}, ("SmallStraight", 7, 5): {30: 97556, 0: 2444}, ("SmallStraight", 7, 6): {30: 98856, 0: 1144}, ("SmallStraight", 7, 7): {30: 99412, 0: 588}, ("SmallStraight", 7, 8): {30: 99742, 0: 258}, ("SmallStraight", 8, 0): {0: 100000}, ("SmallStraight", 8, 1): {30: 48606, 0: 51394}, ("SmallStraight", 8, 2): {30: 80910, 0: 19090}, ("SmallStraight", 8, 3): {0: 7104, 30: 92896}, ("SmallStraight", 8, 4): {30: 97355, 0: 2645}, ("SmallStraight", 8, 5): {30: 98990, 0: 1010}, ("SmallStraight", 8, 6): {30: 99592, 0: 408}, ("SmallStraight", 8, 7): {30: 99847, 0: 153}, ("SmallStraight", 8, 8): {30: 99922, 0: 78}, ("LargeStraight", 0, 0): {0: 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("LargeStraight", 3, 0): {0: 100000}, ("LargeStraight", 3, 1): {0: 100000}, ("LargeStraight", 3, 2): {0: 100000}, ("LargeStraight", 3, 3): {0: 100000}, ("LargeStraight", 3, 4): {0: 100000}, ("LargeStraight", 3, 5): {0: 100000}, ("LargeStraight", 3, 6): {0: 100000}, ("LargeStraight", 3, 7): {0: 100000}, ("LargeStraight", 3, 8): {0: 100000}, ("LargeStraight", 4, 0): {0: 100000}, ("LargeStraight", 4, 1): {0: 100000}, ("LargeStraight", 4, 2): {0: 100000}, ("LargeStraight", 4, 3): {0: 100000}, ("LargeStraight", 4, 4): {0: 100000}, ("LargeStraight", 4, 5): {0: 100000}, ("LargeStraight", 4, 6): {0: 100000}, ("LargeStraight", 4, 7): {0: 100000}, ("LargeStraight", 4, 8): {0: 100000}, ("LargeStraight", 5, 0): {0: 100000}, ("LargeStraight", 5, 1): {0: 96929, 40: 3071}, ("LargeStraight", 5, 2): {0: 87056, 40: 12944}, ("LargeStraight", 5, 3): {0: 75101, 40: 24899}, ("LargeStraight", 5, 4): {0: 63617, 40: 36383}, ("LargeStraight", 5, 5): {0: 53149, 40: 46851}, ("LargeStraight", 5, 6): {0: 44321, 40: 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("FullHouse", 7, 8): {25: 99982, 0: 18}, ("FullHouse", 8, 0): {0: 100000}, ("FullHouse", 8, 1): {0: 35909, 25: 64091}, ("FullHouse", 8, 2): {25: 94288, 0: 5712}, ("FullHouse", 8, 3): {25: 99070, 0: 930}, ("FullHouse", 8, 4): {25: 99835, 0: 165}, ("FullHouse", 8, 5): {25: 99981, 0: 19}, ("FullHouse", 8, 6): {25: 99994, 0: 6}, ("FullHouse", 8, 7): {25: 100000}, ("FullHouse", 8, 8): {25: 100000}, ("Yacht", 0, 0): {0: 100000}, ("Yacht", 0, 1): {0: 100000}, ("Yacht", 0, 2): {0: 100000}, ("Yacht", 0, 3): {0: 100000}, ("Yacht", 0, 4): {0: 100000}, ("Yacht", 0, 5): {0: 100000}, ("Yacht", 0, 6): {0: 100000}, ("Yacht", 0, 7): {0: 100000}, ("Yacht", 0, 8): {0: 100000}, ("Yacht", 1, 0): {0: 100000}, ("Yacht", 1, 1): {0: 100000}, ("Yacht", 1, 2): {0: 100000}, ("Yacht", 1, 3): {0: 100000}, ("Yacht", 1, 4): {0: 100000}, ("Yacht", 1, 5): {0: 100000}, ("Yacht", 1, 6): {0: 100000}, ("Yacht", 1, 7): {0: 100000}, ("Yacht", 1, 8): {0: 100000}, ("Yacht", 2, 0): {0: 100000}, ("Yacht", 2, 1): {0: 100000}, ("Yacht", 2, 2): {0: 100000}, ("Yacht", 2, 3): {0: 100000}, ("Yacht", 2, 4): {0: 100000}, ("Yacht", 2, 5): {0: 100000}, ("Yacht", 2, 6): {0: 100000}, ("Yacht", 2, 7): {0: 100000}, ("Yacht", 2, 8): {0: 100000}, ("Yacht", 3, 0): {0: 100000}, ("Yacht", 3, 1): {0: 100000}, ("Yacht", 3, 2): {0: 100000}, ("Yacht", 3, 3): {0: 100000}, ("Yacht", 3, 4): {0: 100000}, ("Yacht", 3, 5): {0: 100000}, ("Yacht", 3, 6): {0: 100000}, ("Yacht", 3, 7): {0: 100000}, ("Yacht", 3, 8): {0: 100000}, ("Yacht", 4, 0): {0: 100000}, ("Yacht", 4, 1): {0: 100000}, ("Yacht", 4, 2): {0: 100000}, ("Yacht", 4, 3): {0: 100000}, ("Yacht", 4, 4): {0: 100000}, ("Yacht", 4, 5): {0: 100000}, ("Yacht", 4, 6): {0: 100000}, ("Yacht", 4, 7): {0: 100000}, ("Yacht", 4, 8): {0: 100000}, ("Yacht", 5, 0): {0: 100000}, ("Yacht", 5, 1): {0: 99919, 50: 81}, ("Yacht", 5, 2): {0: 98727, 50: 1273}, ("Yacht", 5, 3): {50: 4653, 0: 95347}, ("Yacht", 5, 4): {0: 89969, 50: 10031}, ("Yacht", 5, 5): {0: 83124, 50: 16876}, ("Yacht", 5, 6): {0: 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('ThreeOdds', 1, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 3): {20: 0, 0: 100000}, ('TwoPair', 1, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 3): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 3): {50: 0, 0: 100000}, ('Distincts', 1, 4): {1: 100000}, ('TwoTimesOnes', 1, 4): {1.75: 100000}, ('HalfOfSixes', 1, 4): {2.75: 100000}, ('TwosAndThrees', 1, 4): {2.75: 100000}, ('SumOfOdds', 1, 4): {3.5: 100000}, ('SumOfEvens', 1, 4): {4.5: 100000}, ('DoubleThreesAndFours', 1, 4): {5.5: 100000}, ('QuadrupleOnesAndTwos', 1, 4): {5.5: 100000}, ('MicroStraight', 1, 4): {10: 0, 0: 100000}, ('ThreeOdds', 1, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 4): {20: 0, 0: 100000}, ('TwoPair', 1, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 4): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 4): {50: 0, 0: 100000}, ('Distincts', 1, 5): {1: 100000}, ('TwoTimesOnes', 1, 5): {1.8: 100000}, ('HalfOfSixes', 1, 5): {2.8: 100000}, ('TwosAndThrees', 1, 5): {2.8: 100000}, ('SumOfOdds', 1, 5): {3.6: 100000}, ('SumOfEvens', 1, 5): {4.6: 100000}, ('DoubleThreesAndFours', 1, 5): {5.6: 100000}, ('QuadrupleOnesAndTwos', 1, 5): {5.6: 100000}, ('MicroStraight', 1, 5): {10: 0, 0: 100000}, ('ThreeOdds', 1, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 5): {20: 0, 0: 100000}, ('TwoPair', 1, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 5): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 5): {50: 0, 0: 100000}, ('Distincts', 1, 6): {1: 100000}, ('TwoTimesOnes', 1, 6): {1.8333333333333333: 100000}, ('HalfOfSixes', 1, 6): {2.8333333333333335: 100000}, ('TwosAndThrees', 1, 6): {2.8333333333333335: 100000}, ('SumOfOdds', 1, 6): {3.6666666666666665: 100000}, ('SumOfEvens', 1, 6): {4.666666666666667: 100000}, ('DoubleThreesAndFours', 1, 6): {5.666666666666667: 100000}, ('QuadrupleOnesAndTwos', 1, 6): {5.666666666666667: 100000}, ('MicroStraight', 1, 6): {10: 0, 0: 100000}, ('ThreeOdds', 1, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 6): {20: 0, 0: 100000}, ('TwoPair', 1, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 6): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 6): {50: 0, 0: 100000}, ('Distincts', 1, 7): {1: 100000}, ('TwoTimesOnes', 1, 7): {1.8571428571428572: 100000}, ('HalfOfSixes', 1, 7): {2.857142857142857: 100000}, ('TwosAndThrees', 1, 7): {2.857142857142857: 100000}, ('SumOfOdds', 1, 7): {3.7142857142857144: 100000}, ('SumOfEvens', 1, 7): {4.714285714285714: 100000}, ('DoubleThreesAndFours', 1, 7): {5.714285714285714: 100000}, ('QuadrupleOnesAndTwos', 1, 7): {5.714285714285714: 100000}, ('MicroStraight', 1, 7): {10: 0, 0: 100000}, ('ThreeOdds', 1, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 7): {20: 0, 0: 100000}, ('TwoPair', 1, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 7): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 7): {50: 0, 0: 100000}, ('Distincts', 1, 8): {1: 100000}, ('TwoTimesOnes', 1, 8): {1.875: 100000}, ('HalfOfSixes', 1, 8): {2.875: 100000}, ('TwosAndThrees', 1, 8): {2.875: 100000}, ('SumOfOdds', 1, 8): {3.75: 100000}, ('SumOfEvens', 1, 8): {4.75: 100000}, ('DoubleThreesAndFours', 1, 8): {5.75: 100000}, ('QuadrupleOnesAndTwos', 1, 8): {5.75: 100000}, ('MicroStraight', 1, 8): {10: 0, 0: 100000}, ('ThreeOdds', 1, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 8): {20: 0, 0: 100000}, ('TwoPair', 1, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 8): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 8): {50: 0, 0: 100000}, ('Distincts', 2, 1): {2: 100000}, ('TwoTimesOnes', 2, 1): {2.0: 100000}, ('HalfOfSixes', 2, 1): {4.0: 100000}, ('TwosAndThrees', 2, 1): {4.0: 100000}, ('SumOfOdds', 2, 1): {4.0: 100000}, ('SumOfEvens', 2, 1): {6.0: 100000}, ('DoubleThreesAndFours', 2, 1): {8.0: 100000}, ('QuadrupleOnesAndTwos', 2, 1): {8.0: 100000}, ('MicroStraight', 2, 1): {10: 0, 0: 100000}, ('ThreeOdds', 2, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 1): {20: 0, 0: 100000}, ('TwoPair', 2, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 1): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 1): {50: 0, 0: 100000}, ('Distincts', 2, 2): {2: 100000}, ('TwoTimesOnes', 2, 2): {3.0: 100000}, ('HalfOfSixes', 2, 2): {5.0: 100000}, ('TwosAndThrees', 2, 2): {5.0: 100000}, ('SumOfOdds', 2, 2): {6.0: 100000}, ('SumOfEvens', 2, 2): {8.0: 100000}, ('DoubleThreesAndFours', 2, 2): {10.0: 100000}, ('QuadrupleOnesAndTwos', 2, 2): {10.0: 100000}, ('MicroStraight', 2, 2): {10: 0, 0: 100000}, ('ThreeOdds', 2, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 2): {20: 0, 0: 100000}, ('TwoPair', 2, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 2): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 2): {50: 0, 0: 100000}, ('Distincts', 2, 3): {2: 100000}, ('TwoTimesOnes', 2, 3): {3.3333333333333335: 100000}, ('HalfOfSixes', 2, 3): {5.333333333333333: 100000}, ('TwosAndThrees', 2, 3): {5.333333333333333: 100000}, ('SumOfOdds', 2, 3): {6.666666666666667: 100000}, ('SumOfEvens', 2, 3): {8.666666666666666: 100000}, ('DoubleThreesAndFours', 2, 3): {10.666666666666666: 100000}, ('QuadrupleOnesAndTwos', 2, 3): {10.666666666666666: 100000}, ('MicroStraight', 2, 3): {10: 0, 0: 100000}, ('ThreeOdds', 2, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 3): {20: 0, 0: 100000}, ('TwoPair', 2, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 3): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 3): {50: 0, 0: 100000}, ('Distincts', 2, 4): {2: 100000}, ('TwoTimesOnes', 2, 4): {3.5: 100000}, ('HalfOfSixes', 2, 4): {5.5: 100000}, ('TwosAndThrees', 2, 4): {5.5: 100000}, ('SumOfOdds', 2, 4): {7.0: 100000}, ('SumOfEvens', 2, 4): {9.0: 100000}, ('DoubleThreesAndFours', 2, 4): {11.0: 100000}, ('QuadrupleOnesAndTwos', 2, 4): {11.0: 100000}, ('MicroStraight', 2, 4): {10: 0, 0: 100000}, ('ThreeOdds', 2, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 4): {20: 0, 0: 100000}, ('TwoPair', 2, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 4): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 4): {50: 0, 0: 100000}, ('Distincts', 2, 5): {2: 100000}, ('TwoTimesOnes', 2, 5): {3.6: 100000}, ('HalfOfSixes', 2, 5): {5.6: 100000}, ('TwosAndThrees', 2, 5): {5.6: 100000}, ('SumOfOdds', 2, 5): {7.2: 100000}, ('SumOfEvens', 2, 5): {9.2: 100000}, ('DoubleThreesAndFours', 2, 5): {11.2: 100000}, ('QuadrupleOnesAndTwos', 2, 5): {11.2: 100000}, ('MicroStraight', 2, 5): {10: 0, 0: 100000}, ('ThreeOdds', 2, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 5): {20: 0, 0: 100000}, ('TwoPair', 2, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 5): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 5): {50: 0, 0: 100000}, ('Distincts', 2, 6): {2: 100000}, ('TwoTimesOnes', 2, 6): {3.6666666666666665: 100000}, ('HalfOfSixes', 2, 6): {5.666666666666667: 100000}, ('TwosAndThrees', 2, 6): {5.666666666666667: 100000}, ('SumOfOdds', 2, 6): {7.333333333333333: 100000}, ('SumOfEvens', 2, 6): {9.333333333333334: 100000}, ('DoubleThreesAndFours', 2, 6): {11.333333333333334: 100000}, ('QuadrupleOnesAndTwos', 2, 6): {11.333333333333334: 100000}, ('MicroStraight', 2, 6): {10: 0, 0: 100000}, ('ThreeOdds', 2, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 6): {20: 0, 0: 100000}, ('TwoPair', 2, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 6): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 6): {50: 0, 0: 100000}, ('Distincts', 2, 7): {2: 100000}, ('TwoTimesOnes', 2, 7): {3.7142857142857144: 100000}, ('HalfOfSixes', 2, 7): {5.714285714285714: 100000}, ('TwosAndThrees', 2, 7): {5.714285714285714: 100000}, ('SumOfOdds', 2, 7): {7.428571428571429: 100000}, ('SumOfEvens', 2, 7): {9.428571428571429: 100000}, ('DoubleThreesAndFours', 2, 7): {11.428571428571429: 100000}, ('QuadrupleOnesAndTwos', 2, 7): {11.428571428571429: 100000}, ('MicroStraight', 2, 7): {10: 0, 0: 100000}, ('ThreeOdds', 2, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 7): {20: 0, 0: 100000}, ('TwoPair', 2, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 7): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 7): {50: 0, 0: 100000}, ('Distincts', 2, 8): {2: 100000}, ('TwoTimesOnes', 2, 8): {3.75: 100000}, ('HalfOfSixes', 2, 8): {5.75: 100000}, ('TwosAndThrees', 2, 8): {5.75: 100000}, ('SumOfOdds', 2, 8): {7.5: 100000}, ('SumOfEvens', 2, 8): {9.5: 100000}, ('DoubleThreesAndFours', 2, 8): {11.5: 100000}, ('QuadrupleOnesAndTwos', 2, 8): {11.5: 100000}, ('MicroStraight', 2, 8): {10: 0, 0: 100000}, ('ThreeOdds', 2, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 8): {20: 0, 0: 100000}, ('TwoPair', 2, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 8): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 8): {50: 0, 0: 100000}, ('Distincts', 3, 1): {3: 100000}, ('TwoTimesOnes', 3, 1): {3.0: 100000}, ('HalfOfSixes', 3, 1): {6.0: 100000}, ('TwosAndThrees', 3, 1): {6.0: 100000}, ('SumOfOdds', 3, 1): {6.0: 100000}, ('SumOfEvens', 3, 1): {9.0: 100000}, ('DoubleThreesAndFours', 3, 1): {12.0: 100000}, ('QuadrupleOnesAndTwos', 3, 1): {12.0: 100000}, ('MicroStraight', 3, 1): {10: 0, 0: 100000}, ('ThreeOdds', 3, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 3, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 1): {20: 0, 0: 100000}, ('TwoPair', 3, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 1): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 1): {50: 0, 0: 100000}, ('Distincts', 3, 2): {3: 100000}, ('TwoTimesOnes', 3, 2): {4.5: 100000}, ('HalfOfSixes', 3, 2): {7.5: 100000}, ('TwosAndThrees', 3, 2): {7.5: 100000}, ('SumOfOdds', 3, 2): {9.0: 100000}, ('SumOfEvens', 3, 2): {12.0: 100000}, ('DoubleThreesAndFours', 3, 2): {15.0: 100000}, ('QuadrupleOnesAndTwos', 3, 2): {15.0: 100000}, ('MicroStraight', 3, 2): {10: 44999.99999999999, 0: 55000.00000000001}, ('ThreeOdds', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('OneTwoOneConsecutive', 3, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('TwoPair', 3, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 2): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 2): {50: 0, 0: 100000}, ('Distincts', 3, 3): {3: 100000}, ('TwoTimesOnes', 3, 3): {5.0: 100000}, ('HalfOfSixes', 3, 3): {8.0: 100000}, ('TwosAndThrees', 3, 3): {8.0: 100000}, ('SumOfOdds', 3, 3): {10.0: 100000}, ('SumOfEvens', 3, 3): {13.0: 100000}, ('DoubleThreesAndFours', 3, 3): {16.0: 100000}, ('QuadrupleOnesAndTwos', 3, 3): {16.0: 100000}, ('MicroStraight', 3, 3): {10: 63333.33333333333, 0: 36666.66666666667}, ('ThreeOdds', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('OneTwoOneConsecutive', 3, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('TwoPair', 3, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 3): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 3): {50: 0, 0: 100000}, ('Distincts', 3, 4): {3: 100000}, ('TwoTimesOnes', 3, 4): {5.25: 100000}, ('HalfOfSixes', 3, 4): {8.25: 100000}, ('TwosAndThrees', 3, 4): {8.25: 100000}, ('SumOfOdds', 3, 4): {10.5: 100000}, ('SumOfEvens', 3, 4): {13.5: 100000}, ('DoubleThreesAndFours', 3, 4): {16.5: 100000}, ('QuadrupleOnesAndTwos', 3, 4): {16.5: 100000}, ('MicroStraight', 3, 4): {10: 72500.0, 0: 27500.000000000004}, ('ThreeOdds', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('OneTwoOneConsecutive', 3, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('TwoPair', 3, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 4): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 4): {50: 0, 0: 100000}, ('Distincts', 3, 5): {3: 100000}, ('TwoTimesOnes', 3, 5): {5.4: 100000}, ('HalfOfSixes', 3, 5): {8.399999999999999: 100000}, ('TwosAndThrees', 3, 5): {8.399999999999999: 100000}, ('SumOfOdds', 3, 5): {10.8: 100000}, ('SumOfEvens', 3, 5): {13.799999999999999: 100000}, ('DoubleThreesAndFours', 3, 5): {16.799999999999997: 100000}, ('QuadrupleOnesAndTwos', 3, 5): {16.799999999999997: 100000}, ('MicroStraight', 3, 5): {10: 78000.0, 0: 21999.999999999996}, ('ThreeOdds', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('OneTwoOneConsecutive', 3, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('TwoPair', 3, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 5): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 5): {50: 0, 0: 100000}, ('Distincts', 3, 6): {3: 100000}, ('TwoTimesOnes', 3, 6): {5.5: 100000}, ('HalfOfSixes', 3, 6): {8.5: 100000}, ('TwosAndThrees', 3, 6): {8.5: 100000}, ('SumOfOdds', 3, 6): {11.0: 100000}, ('SumOfEvens', 3, 6): {14.0: 100000}, ('DoubleThreesAndFours', 3, 6): {17.0: 100000}, ('QuadrupleOnesAndTwos', 3, 6): {17.0: 100000}, ('MicroStraight', 3, 6): {10: 81666.66666666667, 0: 18333.333333333336}, ('ThreeOdds', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('OneTwoOneConsecutive', 3, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('TwoPair', 3, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 6): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 6): {50: 0, 0: 100000}, ('Distincts', 3, 7): {3: 100000}, ('TwoTimesOnes', 3, 7): {5.571428571428571: 100000}, ('HalfOfSixes', 3, 7): {8.571428571428571: 100000}, ('TwosAndThrees', 3, 7): {8.571428571428571: 100000}, ('SumOfOdds', 3, 7): {11.142857142857142: 100000}, ('SumOfEvens', 3, 7): {14.142857142857142: 100000}, ('DoubleThreesAndFours', 3, 7): {17.142857142857142: 100000}, ('QuadrupleOnesAndTwos', 3, 7): {17.142857142857142: 100000}, ('MicroStraight', 3, 7): {10: 84285.71428571429, 0: 15714.285714285714}, ('ThreeOdds', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('OneTwoOneConsecutive', 3, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('TwoPair', 3, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 7): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 7): {50: 0, 0: 100000}, ('Distincts', 3, 8): {3: 100000}, ('TwoTimesOnes', 3, 8): {5.625: 100000}, ('HalfOfSixes', 3, 8): {8.625: 100000}, ('TwosAndThrees', 3, 8): {8.625: 100000}, ('SumOfOdds', 3, 8): {11.25: 100000}, ('SumOfEvens', 3, 8): {14.25: 100000}, ('DoubleThreesAndFours', 3, 8): {17.25: 100000}, ('QuadrupleOnesAndTwos', 3, 8): {17.25: 100000}, ('MicroStraight', 3, 8): {10: 86250.0, 0: 13749.999999999996}, ('ThreeOdds', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('OneTwoOneConsecutive', 3, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('TwoPair', 3, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 8): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 8): {50: 0, 0: 100000}, ('Distincts', 4, 1): {4: 100000}, ('TwoTimesOnes', 4, 1): {4.0: 100000}, ('HalfOfSixes', 4, 1): {8.0: 100000}, ('TwosAndThrees', 4, 1): {8.0: 100000}, ('SumOfOdds', 4, 1): {8.0: 100000}, ('SumOfEvens', 4, 1): {12.0: 100000}, ('DoubleThreesAndFours', 4, 1): {16.0: 100000}, ('QuadrupleOnesAndTwos', 4, 1): {16.0: 100000}, ('MicroStraight', 4, 1): {10: 89999.99999999999, 0: 10000.00000000001}, ('ThreeOdds', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('OneTwoOneConsecutive', 4, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('TwoPair', 4, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 1): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 1): {50: 0, 0: 100000}, ('Distincts', 4, 2): {4: 100000}, ('TwoTimesOnes', 4, 2): {6.0: 100000}, ('HalfOfSixes', 4, 2): {10.0: 100000}, ('TwosAndThrees', 4, 2): {10.0: 100000}, ('SumOfOdds', 4, 2): {12.0: 100000}, ('SumOfEvens', 4, 2): {16.0: 100000}, ('DoubleThreesAndFours', 4, 2): {20.0: 100000}, ('QuadrupleOnesAndTwos', 4, 2): {20.0: 100000}, ('MicroStraight', 4, 2): {10: 100000, 0: 0}, ('ThreeOdds', 4, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 2): {30: 40000.0, 0: 60000.0}, ('ThreeDistinctDice', 4, 2): {20: 100000, 0: 0}, ('TwoPair', 4, 2): {30: 50000.0, 0: 50000.0}, ('TwoOneTwoConsecutive', 4, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 2): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 2): {50: 0, 0: 100000}, ('Distincts', 4, 3): {4: 100000}, ('TwoTimesOnes', 4, 3): {6.666666666666667: 100000}, ('HalfOfSixes', 4, 3): {10.666666666666666: 100000}, ('TwosAndThrees', 4, 3): {10.666666666666666: 100000}, ('SumOfOdds', 4, 3): {13.333333333333334: 100000}, ('SumOfEvens', 4, 3): {17.333333333333332: 100000}, ('DoubleThreesAndFours', 4, 3): {21.333333333333332: 100000}, ('QuadrupleOnesAndTwos', 4, 3): {21.333333333333332: 100000}, ('MicroStraight', 4, 3): {10: 100000, 0: 0}, ('ThreeOdds', 4, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 3): {30: 60000.00000000001, 0: 39999.99999999999}, ('ThreeDistinctDice', 4, 3): {20: 100000, 0: 0}, ('TwoPair', 4, 3): {30: 66666.66666666667, 0: 33333.33333333333}, ('TwoOneTwoConsecutive', 4, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 3): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 3): {50: 0, 0: 100000}, ('Distincts', 4, 4): {4: 100000}, ('TwoTimesOnes', 4, 4): {7.0: 100000}, ('HalfOfSixes', 4, 4): {11.0: 100000}, ('TwosAndThrees', 4, 4): {11.0: 100000}, ('SumOfOdds', 4, 4): {14.0: 100000}, ('SumOfEvens', 4, 4): {18.0: 100000}, ('DoubleThreesAndFours', 4, 4): {22.0: 100000}, ('QuadrupleOnesAndTwos', 4, 4): {22.0: 100000}, ('MicroStraight', 4, 4): {10: 100000, 0: 0}, ('ThreeOdds', 4, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 4): {30: 70000.0, 0: 30000.000000000004}, ('ThreeDistinctDice', 4, 4): {20: 100000, 0: 0}, ('TwoPair', 4, 4): {30: 75000.0, 0: 25000.0}, ('TwoOneTwoConsecutive', 4, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 4): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 4): {50: 0, 0: 100000}, ('Distincts', 4, 5): {4: 100000}, ('TwoTimesOnes', 4, 5): {7.2: 100000}, ('HalfOfSixes', 4, 5): {11.2: 100000}, ('TwosAndThrees', 4, 5): {11.2: 100000}, ('SumOfOdds', 4, 5): {14.4: 100000}, ('SumOfEvens', 4, 5): {18.4: 100000}, ('DoubleThreesAndFours', 4, 5): {22.4: 100000}, ('QuadrupleOnesAndTwos', 4, 5): {22.4: 100000}, ('MicroStraight', 4, 5): {10: 100000, 0: 0}, ('ThreeOdds', 4, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 5): {30: 76000.0, 0: 24000.0}, ('ThreeDistinctDice', 4, 5): {20: 100000, 0: 0}, ('TwoPair', 4, 5): {30: 80000.0, 0: 19999.999999999996}, ('TwoOneTwoConsecutive', 4, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 5): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 5): {50: 0, 0: 100000}, ('Distincts', 4, 6): {4: 100000}, ('TwoTimesOnes', 4, 6): {7.333333333333333: 100000}, ('HalfOfSixes', 4, 6): {11.333333333333334: 100000}, ('TwosAndThrees', 4, 6): {11.333333333333334: 100000}, ('SumOfOdds', 4, 6): {14.666666666666666: 100000}, ('SumOfEvens', 4, 6): {18.666666666666668: 100000}, ('DoubleThreesAndFours', 4, 6): {22.666666666666668: 100000}, ('QuadrupleOnesAndTwos', 4, 6): {22.666666666666668: 100000}, ('MicroStraight', 4, 6): {10: 100000, 0: 0}, ('ThreeOdds', 4, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 6): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 4, 6): {20: 100000, 0: 0}, ('TwoPair', 4, 6): {30: 83333.33333333334, 0: 16666.666666666664}, ('TwoOneTwoConsecutive', 4, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 6): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 6): {50: 0, 0: 100000}, ('Distincts', 4, 7): {4: 100000}, ('TwoTimesOnes', 4, 7): {7.428571428571429: 100000}, ('HalfOfSixes', 4, 7): {11.428571428571429: 100000}, ('TwosAndThrees', 4, 7): {11.428571428571429: 100000}, ('SumOfOdds', 4, 7): {14.857142857142858: 100000}, ('SumOfEvens', 4, 7): {18.857142857142858: 100000}, ('DoubleThreesAndFours', 4, 7): {22.857142857142858: 100000}, ('QuadrupleOnesAndTwos', 4, 7): {22.857142857142858: 100000}, ('MicroStraight', 4, 7): {10: 100000, 0: 0}, ('ThreeOdds', 4, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 7): {30: 82857.14285714286, 0: 17142.85714285715}, ('ThreeDistinctDice', 4, 7): {20: 100000, 0: 0}, ('TwoPair', 4, 7): {30: 85714.28571428572, 0: 14285.714285714279}, ('TwoOneTwoConsecutive', 4, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 7): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 7): {50: 0, 0: 100000}, ('Distincts', 4, 8): {4: 100000}, ('TwoTimesOnes', 4, 8): {7.5: 100000}, ('HalfOfSixes', 4, 8): {11.5: 100000}, ('TwosAndThrees', 4, 8): {11.5: 100000}, ('SumOfOdds', 4, 8): {15.0: 100000}, ('SumOfEvens', 4, 8): {19.0: 100000}, ('DoubleThreesAndFours', 4, 8): {23.0: 100000}, ('QuadrupleOnesAndTwos', 4, 8): {23.0: 100000}, ('MicroStraight', 4, 8): {10: 100000, 0: 0}, ('ThreeOdds', 4, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 8): {30: 85000.0, 0: 15000.000000000002}, ('ThreeDistinctDice', 4, 8): {20: 100000, 0: 0}, ('TwoPair', 4, 8): {30: 87500.0, 0: 12500.0}, ('TwoOneTwoConsecutive', 4, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 8): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 8): {50: 0, 0: 100000}, ('Distincts', 5, 1): {5: 100000}, ('TwoTimesOnes', 5, 1): {5.0: 100000}, ('HalfOfSixes', 5, 1): {10.0: 100000}, ('TwosAndThrees', 5, 1): {10.0: 100000}, ('SumOfOdds', 5, 1): {10.0: 100000}, ('SumOfEvens', 5, 1): {15.0: 100000}, ('DoubleThreesAndFours', 5, 1): {20.0: 100000}, ('QuadrupleOnesAndTwos', 5, 1): {20.0: 100000}, ('MicroStraight', 5, 1): {10: 100000, 0: 0}, ('ThreeOdds', 5, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 1): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 5, 1): {20: 100000, 0: 0}, ('TwoPair', 5, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 5, 1): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 5, 1): {50: 0, 0: 100000}, ('Distincts', 5, 2): {5: 100000}, ('TwoTimesOnes', 5, 2): {7.5: 100000}, ('HalfOfSixes', 5, 2): {12.5: 100000}, ('TwosAndThrees', 5, 2): {12.5: 100000}, ('SumOfOdds', 5, 2): {15.0: 100000}, ('SumOfEvens', 5, 2): {20.0: 100000}, ('DoubleThreesAndFours', 5, 2): {25.0: 100000}, ('QuadrupleOnesAndTwos', 5, 2): {25.0: 100000}, ('MicroStraight', 5, 2): {10: 100000, 0: 0}, ('ThreeOdds', 5, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 2): {20: 100000, 0: 0}, ('TwoPair', 5, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 2): {40: 35000.0, 0: 65000.0}, ('FiveDistinctDice', 5, 2): {25: 25000.0, 0: 75000.0}, ('OneAndSixFullHouse', 5, 2): {50: 0, 0: 100000}, ('Distincts', 5, 3): {5: 100000}, ('TwoTimesOnes', 5, 3): {8.333333333333334: 100000}, ('HalfOfSixes', 5, 3): {13.333333333333332: 100000}, ('TwosAndThrees', 5, 3): {13.333333333333332: 100000}, ('SumOfOdds', 5, 3): {16.666666666666668: 100000}, ('SumOfEvens', 5, 3): {21.666666666666664: 100000}, ('DoubleThreesAndFours', 5, 3): {26.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 5, 3): {26.666666666666664: 100000}, ('MicroStraight', 5, 3): {10: 100000, 0: 0}, ('ThreeOdds', 5, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 3): {20: 100000, 0: 0}, ('TwoPair', 5, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 3): {40: 56666.666666666664, 0: 43333.333333333336}, ('FiveDistinctDice', 5, 3): {25: 50000.0, 0: 50000.0}, ('OneAndSixFullHouse', 5, 3): {50: 33333.333333333336, 0: 66666.66666666666}, ('Distincts', 5, 4): {5: 100000}, ('TwoTimesOnes', 5, 4): {8.75: 100000}, ('HalfOfSixes', 5, 4): {13.75: 100000}, ('TwosAndThrees', 5, 4): {13.75: 100000}, ('SumOfOdds', 5, 4): {17.5: 100000}, ('SumOfEvens', 5, 4): {22.5: 100000}, ('DoubleThreesAndFours', 5, 4): {27.5: 100000}, ('QuadrupleOnesAndTwos', 5, 4): {27.5: 100000}, ('MicroStraight', 5, 4): {10: 100000, 0: 0}, ('ThreeOdds', 5, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 4): {20: 100000, 0: 0}, ('TwoPair', 5, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 4): {40: 67500.0, 0: 32499.999999999996}, ('FiveDistinctDice', 5, 4): {25: 62500.0, 0: 37500.0}, ('OneAndSixFullHouse', 5, 4): {50: 50000.0, 0: 50000.0}, ('Distincts', 5, 5): {5: 100000}, ('TwoTimesOnes', 5, 5): {9.0: 100000}, ('HalfOfSixes', 5, 5): {14.0: 100000}, ('TwosAndThrees', 5, 5): {14.0: 100000}, ('SumOfOdds', 5, 5): {18.0: 100000}, ('SumOfEvens', 5, 5): {23.0: 100000}, ('DoubleThreesAndFours', 5, 5): {28.0: 100000}, ('QuadrupleOnesAndTwos', 5, 5): {28.0: 100000}, ('MicroStraight', 5, 5): {10: 100000, 0: 0}, ('ThreeOdds', 5, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 5): {20: 100000, 0: 0}, ('TwoPair', 5, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 5): {40: 74000.0, 0: 26000.0}, ('FiveDistinctDice', 5, 5): {25: 70000.0, 0: 30000.000000000004}, ('OneAndSixFullHouse', 5, 5): {50: 60000.0, 0: 40000.0}, ('Distincts', 5, 6): {5: 100000}, ('TwoTimesOnes', 5, 6): {9.166666666666666: 100000}, ('HalfOfSixes', 5, 6): {14.166666666666668: 100000}, ('TwosAndThrees', 5, 6): {14.166666666666668: 100000}, ('SumOfOdds', 5, 6): {18.333333333333332: 100000}, ('SumOfEvens', 5, 6): {23.333333333333336: 100000}, ('DoubleThreesAndFours', 5, 6): {28.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 5, 6): {28.333333333333336: 100000}, ('MicroStraight', 5, 6): {10: 100000, 0: 0}, ('ThreeOdds', 5, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 6): {20: 100000, 0: 0}, ('TwoPair', 5, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 6): {40: 78333.33333333333, 0: 21666.666666666668}, ('FiveDistinctDice', 5, 6): {25: 75000.0, 0: 25000.0}, ('OneAndSixFullHouse', 5, 6): {50: 66666.66666666667, 0: 33333.33333333333}, ('Distincts', 5, 7): {5: 100000}, ('TwoTimesOnes', 5, 7): {9.285714285714286: 100000}, ('HalfOfSixes', 5, 7): {14.285714285714286: 100000}, ('TwosAndThrees', 5, 7): {14.285714285714286: 100000}, ('SumOfOdds', 5, 7): {18.571428571428573: 100000}, ('SumOfEvens', 5, 7): {23.571428571428573: 100000}, ('DoubleThreesAndFours', 5, 7): {28.571428571428573: 100000}, ('QuadrupleOnesAndTwos', 5, 7): {28.571428571428573: 100000}, ('MicroStraight', 5, 7): {10: 100000, 0: 0}, ('ThreeOdds', 5, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 7): {20: 100000, 0: 0}, ('TwoPair', 5, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 7): {40: 81428.57142857143, 0: 18571.428571428572}, ('FiveDistinctDice', 5, 7): {25: 78571.42857142857, 0: 21428.57142857143}, ('OneAndSixFullHouse', 5, 7): {50: 71428.57142857143, 0: 28571.42857142857}, ('Distincts', 5, 8): {5: 100000}, ('TwoTimesOnes', 5, 8): {9.375: 100000}, ('HalfOfSixes', 5, 8): {14.375: 100000}, ('TwosAndThrees', 5, 8): {14.375: 100000}, ('SumOfOdds', 5, 8): {18.75: 100000}, ('SumOfEvens', 5, 8): {23.75: 100000}, ('DoubleThreesAndFours', 5, 8): {28.75: 100000}, ('QuadrupleOnesAndTwos', 5, 8): {28.75: 100000}, ('MicroStraight', 5, 8): {10: 100000, 0: 0}, ('ThreeOdds', 5, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 8): {20: 100000, 0: 0}, ('TwoPair', 5, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 8): {40: 83750.0, 0: 16249.999999999998}, ('FiveDistinctDice', 5, 8): {25: 81250.0, 0: 18750.0}, ('OneAndSixFullHouse', 5, 8): {50: 75000.0, 0: 25000.0}, ('Distincts', 6, 1): {6: 100000}, ('TwoTimesOnes', 6, 1): {6.0: 100000}, ('HalfOfSixes', 6, 1): {12.0: 100000}, ('TwosAndThrees', 6, 1): {12.0: 100000}, ('SumOfOdds', 6, 1): {12.0: 100000}, ('SumOfEvens', 6, 1): {18.0: 100000}, ('DoubleThreesAndFours', 6, 1): {24.0: 100000}, ('QuadrupleOnesAndTwos', 6, 1): {24.0: 100000}, ('MicroStraight', 6, 1): {10: 100000, 0: 0}, ('ThreeOdds', 6, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 1): {20: 100000, 0: 0}, ('TwoPair', 6, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 1): {40: 70000.0, 0: 30000.000000000004}, ('FiveDistinctDice', 6, 1): {25: 50000.0, 0: 50000.0}, ('OneAndSixFullHouse', 6, 1): {50: 0, 0: 100000}, ('Distincts', 6, 2): {6: 100000}, ('TwoTimesOnes', 6, 2): {9.0: 100000}, ('HalfOfSixes', 6, 2): {15.0: 100000}, ('TwosAndThrees', 6, 2): {15.0: 100000}, ('SumOfOdds', 6, 2): {18.0: 100000}, ('SumOfEvens', 6, 2): {24.0: 100000}, ('DoubleThreesAndFours', 6, 2): {30.0: 100000}, ('QuadrupleOnesAndTwos', 6, 2): {30.0: 100000}, ('MicroStraight', 6, 2): {10: 100000, 0: 0}, ('ThreeOdds', 6, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 2): {20: 100000, 0: 0}, ('TwoPair', 6, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 2): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 2): {50: 100000, 0: 0}, ('Distincts', 6, 3): {6: 100000}, ('TwoTimesOnes', 6, 3): {10.0: 100000}, ('HalfOfSixes', 6, 3): {16.0: 100000}, ('TwosAndThrees', 6, 3): {16.0: 100000}, ('SumOfOdds', 6, 3): {20.0: 100000}, ('SumOfEvens', 6, 3): {26.0: 100000}, ('DoubleThreesAndFours', 6, 3): {32.0: 100000}, ('QuadrupleOnesAndTwos', 6, 3): {32.0: 100000}, ('MicroStraight', 6, 3): {10: 100000, 0: 0}, ('ThreeOdds', 6, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 3): {20: 100000, 0: 0}, ('TwoPair', 6, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 3): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 3): {50: 100000, 0: 0}, ('Distincts', 6, 4): {6: 100000}, ('TwoTimesOnes', 6, 4): {10.5: 100000}, ('HalfOfSixes', 6, 4): {16.5: 100000}, ('TwosAndThrees', 6, 4): {16.5: 100000}, ('SumOfOdds', 6, 4): {21.0: 100000}, ('SumOfEvens', 6, 4): {27.0: 100000}, ('DoubleThreesAndFours', 6, 4): {33.0: 100000}, ('QuadrupleOnesAndTwos', 6, 4): {33.0: 100000}, ('MicroStraight', 6, 4): {10: 100000, 0: 0}, ('ThreeOdds', 6, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 4): {20: 100000, 0: 0}, ('TwoPair', 6, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 4): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 4): {50: 100000, 0: 0}, ('Distincts', 6, 5): {6: 100000}, ('TwoTimesOnes', 6, 5): {10.8: 100000}, ('HalfOfSixes', 6, 5): {16.799999999999997: 100000}, ('TwosAndThrees', 6, 5): {16.799999999999997: 100000}, ('SumOfOdds', 6, 5): {21.6: 100000}, ('SumOfEvens', 6, 5): {27.599999999999998: 100000}, ('DoubleThreesAndFours', 6, 5): {33.599999999999994: 100000}, ('QuadrupleOnesAndTwos', 6, 5): {33.599999999999994: 100000}, ('MicroStraight', 6, 5): {10: 100000, 0: 0}, ('ThreeOdds', 6, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 5): {20: 100000, 0: 0}, ('TwoPair', 6, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 5): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 5): {50: 100000, 0: 0}, ('Distincts', 6, 6): {6: 100000}, ('TwoTimesOnes', 6, 6): {11.0: 100000}, ('HalfOfSixes', 6, 6): {17.0: 100000}, ('TwosAndThrees', 6, 6): {17.0: 100000}, ('SumOfOdds', 6, 6): {22.0: 100000}, ('SumOfEvens', 6, 6): {28.0: 100000}, ('DoubleThreesAndFours', 6, 6): {34.0: 100000}, ('QuadrupleOnesAndTwos', 6, 6): {34.0: 100000}, ('MicroStraight', 6, 6): {10: 100000, 0: 0}, ('ThreeOdds', 6, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 6): {20: 100000, 0: 0}, ('TwoPair', 6, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 6): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 6): {50: 100000, 0: 0}, ('Distincts', 6, 7): {6: 100000}, ('TwoTimesOnes', 6, 7): {11.142857142857142: 100000}, ('HalfOfSixes', 6, 7): {17.142857142857142: 100000}, ('TwosAndThrees', 6, 7): {17.142857142857142: 100000}, ('SumOfOdds', 6, 7): {22.285714285714285: 100000}, ('SumOfEvens', 6, 7): {28.285714285714285: 100000}, ('DoubleThreesAndFours', 6, 7): {34.285714285714285: 100000}, ('QuadrupleOnesAndTwos', 6, 7): {34.285714285714285: 100000}, ('MicroStraight', 6, 7): {10: 100000, 0: 0}, ('ThreeOdds', 6, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 7): {20: 100000, 0: 0}, ('TwoPair', 6, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 7): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 7): {50: 100000, 0: 0}, ('Distincts', 6, 8): {6: 100000}, ('TwoTimesOnes', 6, 8): {11.25: 100000}, ('HalfOfSixes', 6, 8): {17.25: 100000}, ('TwosAndThrees', 6, 8): {17.25: 100000}, ('SumOfOdds', 6, 8): {22.5: 100000}, ('SumOfEvens', 6, 8): {28.5: 100000}, ('DoubleThreesAndFours', 6, 8): {34.5: 100000}, ('QuadrupleOnesAndTwos', 6, 8): {34.5: 100000}, ('MicroStraight', 6, 8): {10: 100000, 0: 0}, ('ThreeOdds', 6, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 8): {20: 100000, 0: 0}, ('TwoPair', 6, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 8): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 8): {50: 100000, 0: 0}, ('Distincts', 7, 1): {7: 100000}, ('TwoTimesOnes', 7, 1): {7.0: 100000}, ('HalfOfSixes', 7, 1): {14.0: 100000}, ('TwosAndThrees', 7, 1): {14.0: 100000}, ('SumOfOdds', 7, 1): {14.0: 100000}, ('SumOfEvens', 7, 1): {21.0: 100000}, ('DoubleThreesAndFours', 7, 1): {28.0: 100000}, ('QuadrupleOnesAndTwos', 7, 1): {28.0: 100000}, ('MicroStraight', 7, 1): {10: 100000, 0: 0}, ('ThreeOdds', 7, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 1): {20: 100000, 0: 0}, ('TwoPair', 7, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 1): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 1): {50: 100000, 0: 0}, ('Distincts', 7, 2): {7: 100000}, ('TwoTimesOnes', 7, 2): {10.5: 100000}, ('HalfOfSixes', 7, 2): {17.5: 100000}, ('TwosAndThrees', 7, 2): {17.5: 100000}, ('SumOfOdds', 7, 2): {21.0: 100000}, ('SumOfEvens', 7, 2): {28.0: 100000}, ('DoubleThreesAndFours', 7, 2): {35.0: 100000}, ('QuadrupleOnesAndTwos', 7, 2): {35.0: 100000}, ('MicroStraight', 7, 2): {10: 100000, 0: 0}, ('ThreeOdds', 7, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 2): {20: 100000, 0: 0}, ('TwoPair', 7, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 2): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 2): {50: 100000, 0: 0}, ('Distincts', 7, 3): {7: 100000}, ('TwoTimesOnes', 7, 3): {11.666666666666668: 100000}, ('HalfOfSixes', 7, 3): {18.666666666666664: 100000}, ('TwosAndThrees', 7, 3): {18.666666666666664: 100000}, ('SumOfOdds', 7, 3): {23.333333333333336: 100000}, ('SumOfEvens', 7, 3): {30.333333333333332: 100000}, ('DoubleThreesAndFours', 7, 3): {37.33333333333333: 100000}, ('QuadrupleOnesAndTwos', 7, 3): {37.33333333333333: 100000}, ('MicroStraight', 7, 3): {10: 100000, 0: 0}, ('ThreeOdds', 7, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 3): {20: 100000, 0: 0}, ('TwoPair', 7, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 3): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 3): {50: 100000, 0: 0}, ('Distincts', 7, 4): {7: 100000}, ('TwoTimesOnes', 7, 4): {12.25: 100000}, ('HalfOfSixes', 7, 4): {19.25: 100000}, ('TwosAndThrees', 7, 4): {19.25: 100000}, ('SumOfOdds', 7, 4): {24.5: 100000}, ('SumOfEvens', 7, 4): {31.5: 100000}, ('DoubleThreesAndFours', 7, 4): {38.5: 100000}, ('QuadrupleOnesAndTwos', 7, 4): {38.5: 100000}, ('MicroStraight', 7, 4): {10: 100000, 0: 0}, ('ThreeOdds', 7, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 4): {20: 100000, 0: 0}, ('TwoPair', 7, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 4): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 4): {50: 100000, 0: 0}, ('Distincts', 7, 5): {7: 100000}, ('TwoTimesOnes', 7, 5): {12.6: 100000}, ('HalfOfSixes', 7, 5): {19.599999999999998: 100000}, ('TwosAndThrees', 7, 5): {19.599999999999998: 100000}, ('SumOfOdds', 7, 5): {25.2: 100000}, ('SumOfEvens', 7, 5): {32.199999999999996: 100000}, ('DoubleThreesAndFours', 7, 5): {39.199999999999996: 100000}, ('QuadrupleOnesAndTwos', 7, 5): {39.199999999999996: 100000}, ('MicroStraight', 7, 5): {10: 100000, 0: 0}, ('ThreeOdds', 7, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 5): {20: 100000, 0: 0}, ('TwoPair', 7, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 5): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 5): {50: 100000, 0: 0}, ('Distincts', 7, 6): {7: 100000}, ('TwoTimesOnes', 7, 6): {12.833333333333332: 100000}, ('HalfOfSixes', 7, 6): {19.833333333333336: 100000}, ('TwosAndThrees', 7, 6): {19.833333333333336: 100000}, ('SumOfOdds', 7, 6): {25.666666666666664: 100000}, ('SumOfEvens', 7, 6): {32.66666666666667: 100000}, ('DoubleThreesAndFours', 7, 6): {39.66666666666667: 100000}, ('QuadrupleOnesAndTwos', 7, 6): {39.66666666666667: 100000}, ('MicroStraight', 7, 6): {10: 100000, 0: 0}, ('ThreeOdds', 7, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 6): {20: 100000, 0: 0}, ('TwoPair', 7, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 6): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 6): {50: 100000, 0: 0}, ('Distincts', 7, 7): {7: 100000}, ('TwoTimesOnes', 7, 7): {13.0: 100000}, ('HalfOfSixes', 7, 7): {20.0: 100000}, ('TwosAndThrees', 7, 7): {20.0: 100000}, ('SumOfOdds', 7, 7): {26.0: 100000}, ('SumOfEvens', 7, 7): {33.0: 100000}, ('DoubleThreesAndFours', 7, 7): {40.0: 100000}, ('QuadrupleOnesAndTwos', 7, 7): {40.0: 100000}, ('MicroStraight', 7, 7): {10: 100000, 0: 0}, ('ThreeOdds', 7, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 7): {20: 100000, 0: 0}, ('TwoPair', 7, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 7): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 7): {50: 100000, 0: 0}, ('Distincts', 7, 8): {7: 100000}, ('TwoTimesOnes', 7, 8): {13.125: 100000}, ('HalfOfSixes', 7, 8): {20.125: 100000}, ('TwosAndThrees', 7, 8): {20.125: 100000}, ('SumOfOdds', 7, 8): {26.25: 100000}, ('SumOfEvens', 7, 8): {33.25: 100000}, ('DoubleThreesAndFours', 7, 8): {40.25: 100000}, ('QuadrupleOnesAndTwos', 7, 8): {40.25: 100000}, ('MicroStraight', 7, 8): {10: 100000, 0: 0}, ('ThreeOdds', 7, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 8): {20: 100000, 0: 0}, ('TwoPair', 7, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 8): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 8): {50: 100000, 0: 0}, ('Distincts', 8, 1): {8: 100000}, ('TwoTimesOnes', 8, 1): {8.0: 100000}, ('HalfOfSixes', 8, 1): {16.0: 100000}, ('TwosAndThrees', 8, 1): {16.0: 100000}, ('SumOfOdds', 8, 1): {16.0: 100000}, ('SumOfEvens', 8, 1): {24.0: 100000}, ('DoubleThreesAndFours', 8, 1): {32.0: 100000}, ('QuadrupleOnesAndTwos', 8, 1): {32.0: 100000}, ('MicroStraight', 8, 1): {10: 100000, 0: 0}, ('ThreeOdds', 8, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 1): {20: 100000, 0: 0}, ('TwoPair', 8, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 1): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 1): {50: 100000, 0: 0}, ('Distincts', 8, 2): {8: 100000}, ('TwoTimesOnes', 8, 2): {12.0: 100000}, ('HalfOfSixes', 8, 2): {20.0: 100000}, ('TwosAndThrees', 8, 2): {20.0: 100000}, ('SumOfOdds', 8, 2): {24.0: 100000}, ('SumOfEvens', 8, 2): {32.0: 100000}, ('DoubleThreesAndFours', 8, 2): {40.0: 100000}, ('QuadrupleOnesAndTwos', 8, 2): {40.0: 100000}, ('MicroStraight', 8, 2): {10: 100000, 0: 0}, ('ThreeOdds', 8, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 2): {20: 100000, 0: 0}, ('TwoPair', 8, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 2): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 2): {50: 100000, 0: 0}, ('Distincts', 8, 3): {8: 100000}, ('TwoTimesOnes', 8, 3): {13.333333333333334: 100000}, ('HalfOfSixes', 8, 3): {21.333333333333332: 100000}, ('TwosAndThrees', 8, 3): {21.333333333333332: 100000}, ('SumOfOdds', 8, 3): {26.666666666666668: 100000}, ('SumOfEvens', 8, 3): {34.666666666666664: 100000}, ('DoubleThreesAndFours', 8, 3): {42.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 8, 3): {42.666666666666664: 100000}, ('MicroStraight', 8, 3): {10: 100000, 0: 0}, ('ThreeOdds', 8, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 3): {20: 100000, 0: 0}, ('TwoPair', 8, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 3): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 3): {50: 100000, 0: 0}, ('Distincts', 8, 4): {8: 100000}, ('TwoTimesOnes', 8, 4): {14.0: 100000}, ('HalfOfSixes', 8, 4): {22.0: 100000}, ('TwosAndThrees', 8, 4): {22.0: 100000}, ('SumOfOdds', 8, 4): {28.0: 100000}, ('SumOfEvens', 8, 4): {36.0: 100000}, ('DoubleThreesAndFours', 8, 4): {44.0: 100000}, ('QuadrupleOnesAndTwos', 8, 4): {44.0: 100000}, ('MicroStraight', 8, 4): {10: 100000, 0: 0}, ('ThreeOdds', 8, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 4): {20: 100000, 0: 0}, ('TwoPair', 8, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 4): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 4): {50: 100000, 0: 0}, ('Distincts', 8, 5): {8: 100000}, ('TwoTimesOnes', 8, 5): {14.4: 100000}, ('HalfOfSixes', 8, 5): {22.4: 100000}, ('TwosAndThrees', 8, 5): {22.4: 100000}, ('SumOfOdds', 8, 5): {28.8: 100000}, ('SumOfEvens', 8, 5): {36.8: 100000}, ('DoubleThreesAndFours', 8, 5): {44.8: 100000}, ('QuadrupleOnesAndTwos', 8, 5): {44.8: 100000}, ('MicroStraight', 8, 5): {10: 100000, 0: 0}, ('ThreeOdds', 8, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 5): {20: 100000, 0: 0}, ('TwoPair', 8, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 5): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 5): {50: 100000, 0: 0}, ('Distincts', 8, 6): {8: 100000}, ('TwoTimesOnes', 8, 6): {14.666666666666666: 100000}, ('HalfOfSixes', 8, 6): {22.666666666666668: 100000}, ('TwosAndThrees', 8, 6): {22.666666666666668: 100000}, ('SumOfOdds', 8, 6): {29.333333333333332: 100000}, ('SumOfEvens', 8, 6): {37.333333333333336: 100000}, ('DoubleThreesAndFours', 8, 6): {45.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 8, 6): {45.333333333333336: 100000}, ('MicroStraight', 8, 6): {10: 100000, 0: 0}, ('ThreeOdds', 8, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 6): {20: 100000, 0: 0}, ('TwoPair', 8, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 6): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 6): {50: 100000, 0: 0}, ('Distincts', 8, 7): {8: 100000}, ('TwoTimesOnes', 8, 7): {14.857142857142858: 100000}, ('HalfOfSixes', 8, 7): {22.857142857142858: 100000}, ('TwosAndThrees', 8, 7): {22.857142857142858: 100000}, ('SumOfOdds', 8, 7): {29.714285714285715: 100000}, ('SumOfEvens', 8, 7): {37.714285714285715: 100000}, ('DoubleThreesAndFours', 8, 7): {45.714285714285715: 100000}, ('QuadrupleOnesAndTwos', 8, 7): {45.714285714285715: 100000}, ('MicroStraight', 8, 7): {10: 100000, 0: 0}, ('ThreeOdds', 8, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 7): {20: 100000, 0: 0}, ('TwoPair', 8, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 7): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 7): {50: 100000, 0: 0}, ('Distincts', 8, 8): {8: 100000}, ('TwoTimesOnes', 8, 8): {15.0: 100000}, ('HalfOfSixes', 8, 8): {23.0: 100000}, ('TwosAndThrees', 8, 8): {23.0: 100000}, ('SumOfOdds', 8, 8): {30.0: 100000}, ('SumOfEvens', 8, 8): {38.0: 100000}, ('DoubleThreesAndFours', 8, 8): {46.0: 100000}, ('QuadrupleOnesAndTwos', 8, 8): {46.0: 100000}, ('MicroStraight', 8, 8): {10: 100000, 0: 0}, ('ThreeOdds', 8, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 8): {20: 100000, 0: 0}, ('TwoPair', 8, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 8): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 8): {50: 100000, 0: 0}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py new file mode 100644 index 000000000000..5e946182d167 --- /dev/null +++ b/worlds/yachtdice/__init__.py @@ -0,0 +1,383 @@ +from BaseClasses import Region, Entrance, Item, Tutorial +from .Items import YachtDiceItem, item_table +from .Locations import YachtDiceLocation, all_locations, ini_locations +from .Options import YachtDiceOptions +from .Rules import set_yacht_rules, set_yacht_completion_rules +from ..AutoWorld import World, WebWorld +import math +import logging + + +class YachtDiceWeb(WebWorld): + tutorials = [Tutorial( + "Multiworld Setup Guide", + "A guide to setting up Yacht Dice. This guide covers " + "single-player, multiworld, and website.", + "English", + "setup_en.md", + "setup/en", + ["Spineraks"] + )] + + +class YachtDiceWorld(World): + """ + Yacht Dice is a straightforward game, custom-made for Archipelago, + where you cast your dice to chart a course for high scores, + unlocking valuable treasures along the way. + Discover more dice, extra rolls, multipliers, + and unlockable categories to navigate the game's depths. + Roll your way to victory by reaching the target score! + """ + game: str = "Yacht Dice" + options_dataclass = YachtDiceOptions + + web = YachtDiceWeb() + + item_name_to_id = {name: data.code for name, data in item_table.items()} + + location_name_to_id = {name: data.id for name, data in all_locations.items()} + + ap_world_version = "1.0.1" + + + def _get_yachtdice_data(self): + return { + "world_seed": self.multiworld.per_slot_randoms[self.player].getrandbits(32), + "seed_name": self.multiworld.seed_name, + "player_name": self.multiworld.get_player_name(self.player), + "player_id": self.player, + "race": self.multiworld.is_race, + } + + + def create_items(self): + + #number of dice and rolls in the pull + numDice = self.options.number_of_dice_and_rolls.value # either 5, 6, 7 or 8 + numRolls = 10 - numDice # either 5, 4, 3 en 2 + + #amount of dice and roll fragments needed to get a dice or roll + amDiceF = self.options.number_of_dice_fragments_per_dice.value + amRollsF = self.options.number_of_roll_fragments_per_roll.value + + #number of extra dice and roll fragments in the pool, + #so that you don't have to wait for that one last fragment + #capped to be one less than number of fragments needed to complete a new dice/roll. + exDiceF = max(0, min(amDiceF - 1, self.options.number_of_extra_dice_fragments.value) ) + exRollsF = max(0, min(amRollsF - 1, self.options.number_of_extra_roll_fragments.value) ) + + #Start the game with one dice, one roll, category choice and category inverse choice. + self.multiworld.push_precollected(self.create_item("Dice")) + self.multiworld.push_precollected(self.create_item("Roll")) + self.multiworld.push_precollected(self.create_item("Category Choice")) + self.multiworld.push_precollected(self.create_item("Category Inverse Choice")) + + + + # Generate item pool. First add necessary items. Later complete the itempool to match locations. + itempool = [] + + + #if one fragment per dice, just add "Dice" objects + if amDiceF == 1: + itempool += ["Dice"] * (numDice-1) #minus one because one is in start inventory + else: + itempool += ["Dice"] #always add a full dice to make generation easier + #add dice fragments, note the -2 because one is added in the previous line, one is in start inventory + itempool += ["Dice Fragment"] * (amDiceF * (numDice-2) + exDiceF) + + #if one fragment per roll, just add "Roll" objects + if amRollsF == 1: + itempool += ["Roll"] * (numRolls-1) #minus one because one is in start inventory + else: + itempool += ["Roll"] #always add a full roll to make generation easier + #add roll fragments, note the -2 because one is added in the previous line, one is in start inventory + itempool += ["Roll Fragment"] * (amRollsF * (numRolls-2) + exRollsF) + + #always add exactly 10 score multipliers + itempool += ["Score Multiplier"] * 10 + + #add all categories. Note: not "choice" and "inverse choice", they are obtained at the start + itempool += ["Category Ones"] + itempool += ["Category Twos"] + itempool += ["Category Threes"] + itempool += ["Category Fours"] + itempool += ["Category Fives"] + itempool += ["Category Sixes"] + itempool += ["Category Pair"] + itempool += ["Category Three of a Kind"] + itempool += ["Category Four of a Kind"] + itempool += ["Category Tiny Straight"] + itempool += ["Category Small Straight"] + itempool += ["Category Large Straight"] + itempool += ["Category Full House"] + itempool += ["Category Yacht"] + + if(self.options.points_game_mode.value >= 4): + while self.extra_points_for_game_mode >= 89: #rather have 100 points than lot of smaller items + itempool += ["100 Points"] + self.extra_points_for_game_mode -= 100 + + if(self.options.points_game_mode.value >= 3): + while self.extra_points_for_game_mode >= 7: #rather have 10 points that lot of 1 points. + itempool += ["10 Points"] + self.extra_points_for_game_mode -= 10 + + if(self.options.points_game_mode.value >= 2 and self.extra_points_for_game_mode > 0): + itempool += ["1 Point"] * self.extra_points_for_game_mode + + #count the number of locations in the game. extra_plando_items is set in generate_early + #and counts number of plando items *not* from pool. + + already_items = len(itempool) + self.extra_plando_items + + #the number of necessary items, should never exceed the number_of_locations + #if it does, there is some weird error, perhaps with plando. This should raise an error... + if already_items > self.number_of_locations: + logging.error(f"In Yacht Dice, there are more items \ + than locations ({already_items}, {self.number_of_locations})") + + #note that self.number_of_locations is the number of locations EXCLUDING the victory location. + #and since the victory item is added later, we should have the number of items + #equal self.number_of_locations + + #From here, we'll count the number of items in the itempool, and add items to the pool, + #making sure not to exceed the number of locations. + + #first, we flood the entire pool with extra points (useful), if that setting is chosen. + if self.options.add_extra_points.value == 1: #all of the extra points + already_items = len(itempool) + self.extra_plando_items + itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 100) + + #first, we flood the entire pool with story chapters (filler), if that setting is chosen. + if self.options.add_story_chapters.value == 1: #all of the story chapters + already_items = len(itempool) + self.extra_plando_items + number_of_items = min(self.number_of_locations - already_items, 100) + number_of_items = (number_of_items // 10) * 10 #story chapters always come in multiples of 10 + itempool += ["Story Chapter"] * number_of_items + + #add some extra points (useful) + if self.options.add_extra_points.value == 2: #add extra points if wanted + already_items = len(itempool) + self.extra_plando_items + itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) + + #add some story chapters (filler) + if self.options.add_story_chapters.value == 2: #add extra points if wanted + already_items = len(itempool) + self.extra_plando_items + if(self.number_of_locations - already_items >= 10): + itempool += ["Story Chapter"] * 10 + + #add some extra points if there is still room + if self.options.add_extra_points.value == 2: + already_items = len(itempool) + self.extra_plando_items + itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) + + #add some encouragements filler-items if there is still room + already_items = len(itempool) + self.extra_plando_items + itempool += ["Encouragement"] * min(self.number_of_locations - already_items, 5) + + #add some fun facts filler-items if there is still room + already_items = len(itempool) + self.extra_plando_items + itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) + + #finally, add some "Good RNG" and "Bad RNG" items to complete the item pool + #these items are filler and don't do anything. + + #probability of Good and Bad rng, based on difficulty for fun :) + p = 0.5 + if self.options.game_difficulty.value == 1: + p = 0.9 + elif self.options.game_difficulty.value == 2: + p = 0.7 + elif self.options.game_difficulty.value == 3: + p = 0.5 + elif self.options.game_difficulty.value == 4: + p = 0.1 + + already_items = len(itempool) + self.extra_plando_items + itempool += ["Good RNG" + for _ in range(self.number_of_locations - already_items)] + + #we're done adding items. Now because of the last step, number of items should be number of locations + already_items = len(itempool) + self.extra_plando_items + if len(itempool) != self.number_of_locations: + logging.error(f"Number in itempool is not number of locations {len(itempool)} {self.number_of_locations}.") + + #convert strings to actual items + itempool = [item for item in map(lambda name: self.create_item(name), itempool)] + + #and add them to the itempool + for item in itempool: + self.multiworld.itempool += [item] + + + + def set_rules(self): + #set rules per location, and add the rule for beating the game + set_yacht_rules(self.multiworld, self.player, self.options) + set_yacht_completion_rules(self.multiworld, self.player) + + + + + def generate_early(self): + #calculate the maximum score goal: + game_difficulty = self.options.game_difficulty.value + + self.max_score = 500 + if game_difficulty == 1: + self.max_score = 400 + elif game_difficulty == 2: + self.max_score = 500 + elif game_difficulty == 3: + self.max_score = 630 + elif game_difficulty == 4: + self.max_score = 683 + + self.extra_points_for_game_mode = 0 + if(self.options.points_game_mode.value >= 2): + self.extra_points_for_game_mode = 1000 - self.max_score + self.max_score = 1000 + + + + #in generate early, we calculate the number of locations necessary, based on yaml options. + + numDice = self.options.number_of_dice_and_rolls.value + numRolls = 10 - numDice + + amDiceF = self.options.number_of_dice_fragments_per_dice.value + amRollsF = self.options.number_of_roll_fragments_per_roll.value + + exDiceF = max(0, min(amDiceF - 1, self.options.number_of_extra_dice_fragments.value) ) + exRollsF = max(0, min(amRollsF - 1, self.options.number_of_extra_roll_fragments.value) ) + + #count number of plando items not from pool, we need extra locations for them + self.extra_plando_items = 0 + + for plando_setting in self.multiworld.plando_items[self.player]: + if plando_setting.get("from_pool", False) is False: + self.extra_plando_items += sum(value for value in plando_setting["items"].values()) + + #number of locations should be at least number of items + #per line, dice, rolls, score multipliers, categories, plando items, victory item, extra points + min_number_of_locations = 1 + (numDice - 2) * amDiceF + exDiceF \ + + 1 + (numRolls - 2) * amRollsF + exRollsF \ + + 10 \ + + 16 \ + + self.extra_plando_items \ + + 1 + + + + #We need more locations with other items to make sure generation works. + #with single-player, we add 40%, which minimized generation fails. + + #When there are more worlds, we can lower the extra percentage of locations. + + #If Yacht Dice is matched with ONLY games with few locations like Clique, + # there is a very small chance of gen failure (around 1%) + #But otherwise it generates fine :) + + if self.options.minimize_extra_items.value == 2: + extraPercentage = max(1.1, 1.5 - self.multiworld.players / 10) + else: + extraPercentage = 1.7 + + min_number_of_locations = max(min_number_of_locations + 10, + math.ceil(min_number_of_locations * extraPercentage)) + + if(self.options.points_game_mode == 2): + min_number_of_locations += self.extra_points_for_game_mode + if(self.options.points_game_mode == 3): + min_number_of_locations += self.extra_points_for_game_mode // 10 + 10 + if(self.options.points_game_mode == 4): + min_number_of_locations += self.extra_points_for_game_mode // 100 + 20 + + #then to make sure generation works, we need to add locations, in case important items are placed late + #add at least 10 locations or 20%. + self.number_of_locations = min_number_of_locations + + def create_regions(self): + #we have no complicated regions, just one rule per location. + + game_difficulty = self.options.game_difficulty.value + + #set the maximum score for which there is a check. + + + #call the ini_locations function, that generations locations based on the inputs. + location_table = ini_locations(self.max_score, self.number_of_locations, game_difficulty) + + #simple menu-board construction + menu = Region("Menu", self.player, self.multiworld) + board = Region("Board", self.player, self.multiworld) + + #add locations to board, one for every location in the location_table + board.locations = [YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) + for loc_name, loc_data in location_table.items() if loc_data.region == board.name] + + #parameter to see where the final check should be + goal_percentage_location = self.options.goal_location_percentage.value + + #which index of all locations should have the Victory item. + victory_id = int(goal_percentage_location / 100 * len(board.locations))-1 + + # Add the victory item to the correct location. + # The website declares that the game is complete when the victory item is obtained. + board.locations[victory_id].place_locked_item(self.create_item("Victory")) + + #these will be slot_data input + self.goal_score = board.locations[victory_id].yacht_dice_score + self.max_score = board.locations[-1].yacht_dice_score + + #add the regions + connection = Entrance(self.player, "New Board", menu) + menu.exits.append(connection) + connection.connect(board) + self.multiworld.regions += [menu, board] + + + def pre_fill(self): + + #in the pre_fill, make sure one dice and one roll is early, so that you'll have 2 dice and 2 rolls soon + self.multiworld.early_items[self.player]["Dice"] = 1 + self.multiworld.early_items[self.player]["Roll"] = 1 + + + #put more items early since we want less extra items. + if self.options.minimize_extra_items.value == 2: + self.multiworld.early_items[self.player]["Category Pair"] = 1 + self.multiworld.early_items[self.player]["Category Fives"] = 1 + self.multiworld.early_items[self.player]["Category Sixes"] = 1 + + def fill_slot_data(self): + #make slot data, which consists of yachtdice_data, options, and some other variables. + + yacht_dice_data = self._get_yachtdice_data() + + yacht_dice_options = self.options.as_dict( + "number_of_dice_and_rolls", + "number_of_dice_fragments_per_dice", + "number_of_roll_fragments_per_roll", + "number_of_extra_roll_fragments", + "game_difficulty", + "goal_location_percentage", + "score_multiplier_type", + "add_extra_points", + "add_story_chapters", + "which_story" + ) + + slot_data = {**yacht_dice_data, **yacht_dice_options} #combine the two + + slot_data["goal_score"] = self.goal_score + slot_data["last_check_score"] = self.max_score + slot_data["ap_world_version"] = self.ap_world_version + return slot_data + + def create_item(self, name: str) -> Item: + item_data = item_table[name] + item = YachtDiceItem(name, item_data.classification, item_data.code, self.player) + return item diff --git a/worlds/yachtdice/docs/en_YachtDice.md b/worlds/yachtdice/docs/en_YachtDice.md new file mode 100644 index 000000000000..3a20a5d57707 --- /dev/null +++ b/worlds/yachtdice/docs/en_YachtDice.md @@ -0,0 +1,22 @@ +# Yacht Dice + +Yacht Dice is a straightforward game, custom-made for Archipelago, where you cast your dice to chart a course for high scores, unlocking valuable treasures along the way. Discover more dice, extra rolls, multipliers, and unlockable categories to navigate the game's depths. Roll your way to victory by reaching the target score! + +## Where is the settings page? + +The [player settings page for this game](../player-settings) contains all the options you need to configure and export a config file. + +## What is considered a location check in Yacht Dice? + +Location checks are reaching certain scores for the first time. The score target for the next check is shown on the website. + +## When the player receives an item, what happens? + +An item can either be extra dice, extra rolls, extra score multipliers or the unlock of a scoring category. +These items allow for sailing towards even higher scoress for even more loot. +There are other items too, like extra points, lore, fun facts etc. + +## What is the victory condition? + +Reaching the target score completes the game. There are options for setting the location of the target score. The target score is displayed on the website. + diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md new file mode 100644 index 000000000000..8fcc3ee98910 --- /dev/null +++ b/worlds/yachtdice/docs/setup_en.md @@ -0,0 +1,21 @@ +# Yacht Dice Randomizer Setup Guide + +## Required Software + +- A browser (you are probably using one right now!). +- Archipelago from the [Archipelago Releases Page](https://github.com/ArchipelagoMW/Archipelago/releases). + +## Playing the game +Open the Yacht Dice website. There are two options: +- Download the latest release from [Yacht Dice Releases](https://github.com/spinerak/YachtDiceAP/releases) and unzip the Website.zip. Then open player.html in your browser. +- Cruise over to the [Yacht Dice website](https://yacht-dice-ap.netlify.app/). This also works on mobile. If the website is not available, use the first option. + +The website has an offline play option to try out the game without having to generate a game first. + +## Play with Archipelago + +- Create your yaml file via the [Yacht Dice Player Settings Page](/games/YachtDice/player-settings). +- After generating, open the Yacht Dice website. After the tutoroll, fill in the room-information. +- After logging in, you are good to go. The website has a built-in client, where you can chat and send commands. + +For more information on yaml files, generating Archipelago games and connecting to servers, please see the [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en). From 10ea81dc41e37c07ec94c7ee0ed9a8107a97e88e Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 20:05:07 +0200 Subject: [PATCH 002/127] Update .gitignore --- .gitignore | 2 ++ 1 file changed, 2 insertions(+) diff --git a/.gitignore b/.gitignore index 022abe38fe40..647c22d186b8 100644 --- a/.gitignore +++ b/.gitignore @@ -198,3 +198,5 @@ minecraft_versions.json .LSOverride Thumbs.db [Dd]esktop.ini +/worlds/zillion +/worlds/zillion From fe196db0bef636630784e3da9ad5fc6aa905ed5a Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 20:06:24 +0200 Subject: [PATCH 003/127] Removed zillion because it doesn't work --- .gitignore | 21 + worlds/zillion/__init__.py | 441 --------------- worlds/zillion/client.py | 513 ------------------ worlds/zillion/config.py | 1 - worlds/zillion/docs/en_Zillion.md | 82 --- worlds/zillion/docs/setup_en.md | 107 ---- .../empty-zillion-map-row-col-labels-281.png | Bin 29903 -> 0 bytes worlds/zillion/gen_data.py | 35 -- worlds/zillion/id_maps.py | 158 ------ worlds/zillion/item.py | 12 - worlds/zillion/logic.py | 81 --- worlds/zillion/options.py | 399 -------------- worlds/zillion/patch.py | 83 --- worlds/zillion/py.typed | 0 worlds/zillion/region.py | 48 -- worlds/zillion/requirements.txt | 2 - worlds/zillion/test/TestGoal.py | 149 ----- worlds/zillion/test/TestOptions.py | 30 - worlds/zillion/test/TestReproducibleRandom.py | 29 - worlds/zillion/test/__init__.py | 20 - 20 files changed, 21 insertions(+), 2190 deletions(-) delete mode 100644 worlds/zillion/__init__.py delete mode 100644 worlds/zillion/client.py delete mode 100644 worlds/zillion/config.py delete mode 100644 worlds/zillion/docs/en_Zillion.md delete mode 100644 worlds/zillion/docs/setup_en.md delete mode 100644 worlds/zillion/empty-zillion-map-row-col-labels-281.png delete mode 100644 worlds/zillion/gen_data.py delete mode 100644 worlds/zillion/id_maps.py delete mode 100644 worlds/zillion/item.py delete mode 100644 worlds/zillion/logic.py delete mode 100644 worlds/zillion/options.py delete mode 100644 worlds/zillion/patch.py delete mode 100644 worlds/zillion/py.typed delete mode 100644 worlds/zillion/region.py delete mode 100644 worlds/zillion/requirements.txt delete mode 100644 worlds/zillion/test/TestGoal.py delete mode 100644 worlds/zillion/test/TestOptions.py delete mode 100644 worlds/zillion/test/TestReproducibleRandom.py delete mode 100644 worlds/zillion/test/__init__.py diff --git a/.gitignore b/.gitignore index 647c22d186b8..54dd4a262daf 100644 --- a/.gitignore +++ b/.gitignore @@ -200,3 +200,24 @@ Thumbs.db [Dd]esktop.ini /worlds/zillion /worlds/zillion +worlds/zillion/__init__.py +worlds/zillion/__init__.py +worlds/zillion/__init__.py +worlds/zillion/client.py +worlds/zillion/config.py +worlds/zillion/docs/en_Zillion.md +worlds/zillion/docs/setup_en.md +worlds/zillion/empty-zillion-map-row-col-labels-281.png +worlds/zillion/gen_data.py +worlds/zillion/id_maps.py +worlds/zillion/item.py +worlds/zillion/logic.py +worlds/zillion/options.py +worlds/zillion/patch.py +worlds/zillion/py.typed +worlds/zillion/region.py +worlds/zillion/requirements.txt +worlds/zillion/test/__init__.py +worlds/zillion/test/TestGoal.py +worlds/zillion/test/TestOptions.py +worlds/zillion/test/TestReproducibleRandom.py diff --git a/worlds/zillion/__init__.py b/worlds/zillion/__init__.py deleted file mode 100644 index cce120d7e3f4..000000000000 --- a/worlds/zillion/__init__.py +++ /dev/null @@ -1,441 +0,0 @@ -from collections import deque, Counter -from contextlib import redirect_stdout -import functools -import settings -import threading -import typing -from typing import Any, Dict, List, Set, Tuple, Optional -import os -import logging - -from BaseClasses import ItemClassification, LocationProgressType, \ - MultiWorld, Item, CollectionState, Entrance, Tutorial - -from .gen_data import GenData -from .logic import cs_to_zz_locs -from .region import ZillionLocation, ZillionRegion -from .options import ZillionOptions, validate, z_option_groups -from .id_maps import ZillionSlotInfo, get_slot_info, item_name_to_id as _item_name_to_id, \ - loc_name_to_id as _loc_name_to_id, make_id_to_others, \ - zz_reg_name_to_reg_name, base_id -from .item import ZillionItem -from .patch import ZillionPatch - -from zilliandomizer.randomizer import Randomizer as ZzRandomizer -from zilliandomizer.system import System -from zilliandomizer.logic_components.items import RESCUE, items as zz_items, Item as ZzItem -from zilliandomizer.logic_components.locations import Location as ZzLocation, Req -from zilliandomizer.options import Chars - -from worlds.AutoWorld import World, WebWorld - - -class ZillionSettings(settings.Group): - class RomFile(settings.UserFilePath): - """File name of the Zillion US rom""" - description = "Zillion US ROM File" - copy_to = "Zillion (UE) [!].sms" - assert ZillionPatch.hash - md5s = [ZillionPatch.hash] - - class RomStart(str): - """ - Set this to false to never autostart a rom (such as after patching) - True for operating system default program - Alternatively, a path to a program to open the .sfc file with - RetroArch doesn't make it easy to launch a game from the command line. - You have to know the path to the emulator core library on the user's computer. - """ - - rom_file: RomFile = RomFile(RomFile.copy_to) - rom_start: typing.Union[RomStart, bool] = RomStart("retroarch") - - -class ZillionWebWorld(WebWorld): - theme = "stone" - tutorials = [Tutorial( - "Multiworld Setup Guide", - "A guide to playing Zillion randomizer.", - "English", - "setup_en.md", - "setup/en", - ["beauxq"] - )] - - option_groups = z_option_groups - - -class ZillionWorld(World): - """ - Zillion is a metroidvania style game released in 1987 for the 8-bit Sega Master System. - - It's based on the anime Zillion (赤い光弾ジリオン, Akai Koudan Zillion). - """ - game = "Zillion" - web = ZillionWebWorld() - - options_dataclass = ZillionOptions - options: ZillionOptions # type: ignore - - settings: typing.ClassVar[ZillionSettings] # type: ignore - # these type: ignore are because of this issue: https://github.com/python/typing/discussions/1486 - - topology_present = True # indicate if world type has any meaningful layout/pathing - - # map names to their IDs - item_name_to_id = _item_name_to_id - location_name_to_id = _loc_name_to_id - - # increment this every time something in your world's names/id mappings changes. - # While this is set to 0 in *any* AutoWorld, the entire DataPackage is considered in testing mode and will be - # retrieved by clients on every connection. - data_version = 1 - - logger: logging.Logger - - class LogStreamInterface: - logger: logging.Logger - buffer: List[str] - - def __init__(self, logger: logging.Logger) -> None: - self.logger = logger - self.buffer = [] - - def write(self, msg: str) -> None: - if msg.endswith('\n'): - self.buffer.append(msg[:-1]) - self.logger.debug("".join(self.buffer)) - self.buffer = [] - else: - self.buffer.append(msg) - - def flush(self) -> None: - pass - - lsi: LogStreamInterface - - id_to_zz_item: Optional[Dict[int, ZzItem]] = None - zz_system: System - _item_counts: "Counter[str]" = Counter() - """ - These are the items counts that will be in the game, - which might be different from the item counts the player asked for in options - (if the player asked for something invalid). - """ - my_locations: List[ZillionLocation] = [] - """ This is kind of a cache to avoid iterating through all the multiworld locations in logic. """ - slot_data_ready: threading.Event - """ This event is set in `generate_output` when the data is ready for `fill_slot_data` """ - - def __init__(self, world: MultiWorld, player: int): - super().__init__(world, player) - self.logger = logging.getLogger("Zillion") - self.lsi = ZillionWorld.LogStreamInterface(self.logger) - self.zz_system = System() - self.slot_data_ready = threading.Event() - - def _make_item_maps(self, start_char: Chars) -> None: - _id_to_name, _id_to_zz_id, id_to_zz_item = make_id_to_others(start_char) - self.id_to_zz_item = id_to_zz_item - - def generate_early(self) -> None: - if not hasattr(self.multiworld, "zillion_logic_cache"): - setattr(self.multiworld, "zillion_logic_cache", {}) - - zz_op, item_counts = validate(self.options) - - if zz_op.early_scope: - self.multiworld.early_items[self.player]["Scope"] = 1 - - self._item_counts = item_counts - - with redirect_stdout(self.lsi): # type: ignore - self.zz_system.make_randomizer(zz_op) - - self.zz_system.seed(self.multiworld.seed) - self.zz_system.make_map() - - # just in case the options changed anything (I don't think they do) - assert self.zz_system.randomizer, "init failed" - for zz_name in self.zz_system.randomizer.locations: - if zz_name != 'main': - assert self.zz_system.randomizer.loc_name_2_pretty[zz_name] in self.location_name_to_id, \ - f"{self.zz_system.randomizer.loc_name_2_pretty[zz_name]} not in location map" - - self._make_item_maps(zz_op.start_char) - - def create_regions(self) -> None: - assert self.zz_system.randomizer, "generate_early hasn't been called" - assert self.id_to_zz_item, "generate_early hasn't been called" - p = self.player - w = self.multiworld - self.my_locations = [] - - self.zz_system.randomizer.place_canister_gun_reqs() - # low probability that place_canister_gun_reqs() results in empty 1st sphere - # testing code to force low probability event: - # for zz_room_name in ["r01c2", "r02c0", "r02c7", "r03c5"]: - # for zz_loc in self.zz_system.randomizer.regions[zz_room_name].locations: - # zz_loc.req.gun = 2 - if len(self.zz_system.randomizer.get_locations(Req(gun=1, jump=1))) == 0: - self.logger.info("Zillion avoided rare empty 1st sphere.") - for zz_loc in self.zz_system.randomizer.regions["r03c5"].locations: - zz_loc.req.gun = 1 - assert len(self.zz_system.randomizer.get_locations(Req(gun=1, jump=1))) != 0 - - start = self.zz_system.randomizer.regions['start'] - - all: Dict[str, ZillionRegion] = {} - for here_zz_name, zz_r in self.zz_system.randomizer.regions.items(): - here_name = "Menu" if here_zz_name == "start" else zz_reg_name_to_reg_name(here_zz_name) - all[here_name] = ZillionRegion(zz_r, here_name, here_name, p, w) - self.multiworld.regions.append(all[here_name]) - - limited_skill = Req(gun=3, jump=3, skill=self.zz_system.randomizer.options.skill, hp=940, red=1, floppy=126) - queue = deque([start]) - done: Set[str] = set() - while len(queue): - zz_here = queue.popleft() - here_name = "Menu" if zz_here.name == "start" else zz_reg_name_to_reg_name(zz_here.name) - if here_name in done: - continue - here = all[here_name] - - for zz_loc in zz_here.locations: - # if local gun reqs didn't place "keyword" item - if not zz_loc.item: - - def access_rule_wrapped(zz_loc_local: ZzLocation, - p: int, - zz_r: ZzRandomizer, - id_to_zz_item: Dict[int, ZzItem], - cs: CollectionState) -> bool: - accessible = cs_to_zz_locs(cs, p, zz_r, id_to_zz_item) - return zz_loc_local in accessible - - access_rule = functools.partial(access_rule_wrapped, - zz_loc, self.player, self.zz_system.randomizer, self.id_to_zz_item) - - loc_name = self.zz_system.randomizer.loc_name_2_pretty[zz_loc.name] - loc = ZillionLocation(zz_loc, self.player, loc_name, here) - loc.access_rule = access_rule - if not (limited_skill >= zz_loc.req): - loc.progress_type = LocationProgressType.EXCLUDED - self.options.exclude_locations.value.add(loc.name) - here.locations.append(loc) - self.my_locations.append(loc) - - for zz_dest in zz_here.connections.keys(): - dest_name = "Menu" if zz_dest.name == 'start' else zz_reg_name_to_reg_name(zz_dest.name) - dest = all[dest_name] - exit = Entrance(p, f"{here_name} to {dest_name}", here) - here.exits.append(exit) - exit.connect(dest) - - queue.append(zz_dest) - done.add(here.name) - - def create_items(self) -> None: - if not self.id_to_zz_item: - self._make_item_maps("JJ") - self.logger.warning("warning: called `create_items` without calling `generate_early` first") - assert self.id_to_zz_item, "failed to get item maps" - - # in zilliandomizer, the Randomizer class puts empties in the item pool to fill space, - # but here in AP, empties are in the options from options.validate - item_counts = self._item_counts - self.logger.debug(item_counts) - - for item_name, item_id in self.item_name_to_id.items(): - zz_item = self.id_to_zz_item[item_id] - if item_id >= (4 + base_id): # normal item - if item_name in item_counts: - count = item_counts[item_name] - self.logger.debug(f"Zillion Items: {item_name} {count}") - self.multiworld.itempool += [self.create_item(item_name) for _ in range(count)] - elif item_id < (3 + base_id) and zz_item.code == RESCUE: - # One of the 3 rescues will not be in the pool and its zz_item will be 'empty'. - self.logger.debug(f"Zillion Items: {item_name} 1") - self.multiworld.itempool.append(self.create_item(item_name)) - - def set_rules(self) -> None: - # logic for this game is in create_regions - pass - - def generate_basic(self) -> None: - assert self.zz_system.randomizer, "generate_early hasn't been called" - # main location name is an alias - main_loc_name = self.zz_system.randomizer.loc_name_2_pretty[self.zz_system.randomizer.locations['main'].name] - - self.multiworld.get_location(main_loc_name, self.player)\ - .place_locked_item(self.create_item("Win")) - self.multiworld.completion_condition[self.player] = \ - lambda state: state.has("Win", self.player) - - @staticmethod - def stage_generate_basic(multiworld: MultiWorld, *args: Any) -> None: - # item link pools are about to be created in main - # JJ can't be an item link unless all the players share the same start_char - # (The reason for this is that the JJ ZillionItem will have a different ZzItem depending - # on whether the start char is Apple or Champ, and the logic depends on that ZzItem.) - for group in multiworld.groups.values(): - # TODO: remove asserts on group when we can specify which members of TypedDict are optional - assert "game" in group - if group["game"] == "Zillion": - assert "item_pool" in group - item_pool = group["item_pool"] - to_stay: Chars = "JJ" - if "JJ" in item_pool: - assert "players" in group - group_players = group["players"] - players_start_chars: List[Tuple[int, Chars]] = [] - for player in group_players: - z_world = multiworld.worlds[player] - assert isinstance(z_world, ZillionWorld) - players_start_chars.append((player, z_world.options.start_char.get_char())) - start_char_counts = Counter(sc for _, sc in players_start_chars) - # majority rules - if start_char_counts["Apple"] > start_char_counts["Champ"]: - to_stay = "Apple" - elif start_char_counts["Champ"] > start_char_counts["Apple"]: - to_stay = "Champ" - else: # equal - choices: Tuple[Chars, ...] = ("Apple", "Champ") - to_stay = multiworld.random.choice(choices) - - for p, sc in players_start_chars: - if sc != to_stay: - group_players.remove(p) - assert "world" in group - group_world = group["world"] - assert isinstance(group_world, ZillionWorld) - group_world._make_item_maps(to_stay) - - def post_fill(self) -> None: - """Optional Method that is called after regular fill. Can be used to do adjustments before output generation. - This happens before progression balancing, so the items may not be in their final locations yet.""" - - self.zz_system.post_fill() - - def finalize_item_locations(self) -> GenData: - """ - sync zilliandomizer item locations with AP item locations - - return the data needed to generate output - """ - - assert self.zz_system.randomizer, "generate_early hasn't been called" - - # debug_zz_loc_ids: Dict[str, int] = {} - empty = zz_items[4] - multi_item = empty # a different patcher method differentiates empty from ap multi item - multi_items: Dict[str, Tuple[str, str]] = {} # zz_loc_name to (item_name, player_name) - for z_loc in self.multiworld.get_locations(self.player): - assert isinstance(z_loc, ZillionLocation) - # debug_zz_loc_ids[z_loc.zz_loc.name] = id(z_loc.zz_loc) - if z_loc.item is None: - self.logger.warning("generate_output location has no item - is that ok?") - z_loc.zz_loc.item = empty - elif z_loc.item.player == self.player: - z_item = z_loc.item - assert isinstance(z_item, ZillionItem) - z_loc.zz_loc.item = z_item.zz_item - else: # another player's item - # print(f"put multi item in {z_loc.zz_loc.name}") - z_loc.zz_loc.item = multi_item - multi_items[z_loc.zz_loc.name] = ( - z_loc.item.name, - self.multiworld.get_player_name(z_loc.item.player) - ) - # debug_zz_loc_ids.sort() - # for name, id_ in debug_zz_loc_ids.items(): - # print(id_) - # print("size:", len(debug_zz_loc_ids)) - - # debug_loc_to_id: Dict[str, int] = {} - # regions = self.zz_randomizer.regions - # for region in regions.values(): - # for loc in region.locations: - # if loc.name not in self.zz_randomizer.locations: - # print(f"region {region.name} had location {loc.name} not in locations") - # debug_loc_to_id[loc.name] = id(loc) - - # verify that every location got an item - for zz_loc in self.zz_system.randomizer.locations.values(): - assert zz_loc.item, ( - f"location {self.zz_system.randomizer.loc_name_2_pretty[zz_loc.name]} " - f"in world {self.player} didn't get an item" - ) - - game_id = self.multiworld.player_name[self.player].encode() + b'\x00' + self.multiworld.seed_name[-6:].encode() - - return GenData(multi_items, self.zz_system.get_game(), game_id) - - def generate_output(self, output_directory: str) -> None: - """This method gets called from a threadpool, do not use multiworld.random here. - If you need any last-second randomization, use self.random instead.""" - try: - gen_data = self.finalize_item_locations() - except BaseException: - raise - finally: - self.slot_data_ready.set() - - out_file_base = self.multiworld.get_out_file_name_base(self.player) - - patch_file_name = os.path.join(output_directory, f"{out_file_base}{ZillionPatch.patch_file_ending}") - patch = ZillionPatch(patch_file_name, - player=self.player, - player_name=self.multiworld.player_name[self.player], - gen_data_str=gen_data.to_json()) - patch.write() - - self.logger.debug(f"Zillion player {self.player} finished generate_output") - - def fill_slot_data(self) -> ZillionSlotInfo: # json of WebHostLib.models.Slot - """Fill in the `slot_data` field in the `Connected` network package. - This is a way the generator can give custom data to the client. - The client will receive this as JSON in the `Connected` response.""" - - # TODO: share a TypedDict data structure with client - - # TODO: tell client which canisters are keywords - # so it can open and get those when restoring doors - - self.slot_data_ready.wait() - assert self.zz_system.randomizer, "didn't get randomizer from generate_early" - game = self.zz_system.get_game() - return get_slot_info(game.regions, game.char_order[0], game.loc_name_2_pretty) - - # def modify_multidata(self, multidata: Dict[str, Any]) -> None: - # """For deeper modification of server multidata.""" - # # not modifying multidata, just want to call this at the end of the generation process - # cache = getattr(self.multiworld, "zillion_logic_cache") - # import sys - # print(sys.getsizeof(cache)) - - # end of ordered Main.py calls - - def create_item(self, name: str) -> Item: - """Create an item for this world type and player. - Warning: this may be called with self.multiworld = None, for example by MultiServer""" - item_id = _item_name_to_id[name] - - if not self.id_to_zz_item: - self._make_item_maps("JJ") - self.logger.warning("warning: called `create_item` without calling `generate_early` first") - assert self.id_to_zz_item, "failed to get item maps" - - classification = ItemClassification.filler - zz_item = self.id_to_zz_item[item_id] - if zz_item.required: - classification = ItemClassification.progression - if not zz_item.is_progression: - classification = ItemClassification.progression_skip_balancing - - z_item = ZillionItem(name, classification, item_id, self.player, zz_item) - return z_item - - def get_filler_item_name(self) -> str: - """Called when the item pool needs to be filled with additional items to match location count.""" - return "Empty" diff --git a/worlds/zillion/client.py b/worlds/zillion/client.py deleted file mode 100644 index be32028463c7..000000000000 --- a/worlds/zillion/client.py +++ /dev/null @@ -1,513 +0,0 @@ -import asyncio -import base64 -import io -import pkgutil -import platform -from typing import Any, ClassVar, Coroutine, Dict, List, Optional, Protocol, Tuple, cast - -from CommonClient import CommonContext, server_loop, gui_enabled, \ - ClientCommandProcessor, logger, get_base_parser -from NetUtils import ClientStatus -from Utils import async_start - -import colorama - -from zilliandomizer.zri.memory import Memory, RescueInfo -from zilliandomizer.zri import events -from zilliandomizer.utils.loc_name_maps import id_to_loc -from zilliandomizer.options import Chars - -from .id_maps import loc_name_to_id, make_id_to_others -from .config import base_id - - -class ZillionCommandProcessor(ClientCommandProcessor): - ctx: "ZillionContext" - - def _cmd_sms(self) -> None: - """ Tell the client that Zillion is running in RetroArch. """ - logger.info("ready to look for game") - self.ctx.look_for_retroarch.set() - - def _cmd_map(self) -> None: - """ Toggle view of the map tracker. """ - self.ctx.ui_toggle_map() - - -class ToggleCallback(Protocol): - def __call__(self) -> None: ... - - -class SetRoomCallback(Protocol): - def __call__(self, rooms: List[List[int]]) -> None: ... - - -class ZillionContext(CommonContext): - game = "Zillion" - command_processor = ZillionCommandProcessor - items_handling = 1 # receive items from other players - - known_name: Optional[str] - """ This is almost the same as `auth` except `auth` is reset to `None` when server disconnects, and this isn't. """ - - from_game: "asyncio.Queue[events.EventFromGame]" - to_game: "asyncio.Queue[events.EventToGame]" - ap_local_count: int - """ local checks watched by server """ - next_item: int - """ index in `items_received` """ - ap_id_to_name: Dict[int, str] - ap_id_to_zz_id: Dict[int, int] - start_char: Chars = "JJ" - rescues: Dict[int, RescueInfo] = {} - loc_mem_to_id: Dict[int, int] = {} - got_room_info: asyncio.Event - """ flag for connected to server """ - got_slot_data: asyncio.Event - """ serves as a flag for whether I am logged in to the server """ - - look_for_retroarch: asyncio.Event - """ - There is a bug in Python in Windows - https://github.com/python/cpython/issues/91227 - that makes it so if I look for RetroArch before it's ready, - it breaks the asyncio udp transport system. - - As a workaround, we don't look for RetroArch until this event is set. - """ - - ui_toggle_map: ToggleCallback - ui_set_rooms: SetRoomCallback - """ parameter is y 16 x 8 numbers to show in each room """ - - def __init__(self, - server_address: str, - password: str) -> None: - super().__init__(server_address, password) - self.known_name = None - self.from_game = asyncio.Queue() - self.to_game = asyncio.Queue() - self.got_room_info = asyncio.Event() - self.got_slot_data = asyncio.Event() - self.ui_toggle_map = lambda: None - self.ui_set_rooms = lambda rooms: None - - self.look_for_retroarch = asyncio.Event() - if platform.system() != "Windows": - # asyncio udp bug is only on Windows - self.look_for_retroarch.set() - - self.reset_game_state() - - def reset_game_state(self) -> None: - for _ in range(self.from_game.qsize()): - self.from_game.get_nowait() - for _ in range(self.to_game.qsize()): - self.to_game.get_nowait() - self.got_slot_data.clear() - - self.ap_local_count = 0 - self.next_item = 0 - self.ap_id_to_name = {} - self.ap_id_to_zz_id = {} - self.rescues = {} - self.loc_mem_to_id = {} - - self.locations_checked.clear() - self.missing_locations.clear() - self.checked_locations.clear() - self.finished_game = False - self.items_received.clear() - - # override - def on_deathlink(self, data: Dict[str, Any]) -> None: - self.to_game.put_nowait(events.DeathEventToGame()) - return super().on_deathlink(data) - - # override - async def server_auth(self, password_requested: bool = False) -> None: - if password_requested and not self.password: - await super().server_auth(password_requested) - if not self.auth: - logger.info('waiting for connection to game...') - return - logger.info("logging in to server...") - await self.send_connect() - - # override - def run_gui(self) -> None: - from kvui import GameManager - from kivy.core.text import Label as CoreLabel - from kivy.graphics import Ellipse, Color, Rectangle - from kivy.graphics.texture import Texture - from kivy.uix.layout import Layout - from kivy.uix.image import CoreImage - from kivy.uix.widget import Widget - - class ZillionManager(GameManager): - logging_pairs = [ - ("Client", "Archipelago") - ] - base_title = "Archipelago Zillion Client" - - class MapPanel(Widget): - MAP_WIDTH: ClassVar[int] = 281 - - map_background: CoreImage - _number_textures: List[Texture] = [] - rooms: List[List[int]] = [] - - def __init__(self, **kwargs: Any) -> None: - super().__init__(**kwargs) - - FILE_NAME = "empty-zillion-map-row-col-labels-281.png" - image_file_data = pkgutil.get_data(__name__, FILE_NAME) - if not image_file_data: - raise FileNotFoundError(f"{__name__=} {FILE_NAME=}") - data = io.BytesIO(image_file_data) - self.map_background = CoreImage(data, ext="png") - assert self.map_background.texture.size[0] == ZillionManager.MapPanel.MAP_WIDTH - - self.rooms = [[0 for _ in range(8)] for _ in range(16)] - - self._make_numbers() - self.update_map() - - self.bind(pos=self.update_map) - # self.bind(size=self.update_bg) - - def _make_numbers(self) -> None: - self._number_textures = [] - for n in range(10): - label = CoreLabel(text=str(n), font_size=22, color=(0.1, 0.9, 0, 1)) - label.refresh() - self._number_textures.append(label.texture) - - def update_map(self, *args: Any) -> None: - self.canvas.clear() - - with self.canvas: - Color(1, 1, 1, 1) - Rectangle(texture=self.map_background.texture, - pos=self.pos, - size=self.map_background.texture.size) - for y in range(16): - for x in range(8): - num = self.rooms[15 - y][x] - if num > 0: - Color(0, 0, 0, 0.4) - pos = [self.pos[0] + 17 + x * 32, self.pos[1] + 14 + y * 24] - Ellipse(size=[22, 22], pos=pos) - Color(1, 1, 1, 1) - pos = [self.pos[0] + 22 + x * 32, self.pos[1] + 12 + y * 24] - num_texture = self._number_textures[num] - Rectangle(texture=num_texture, size=num_texture.size, pos=pos) - - def build(self) -> Layout: - container = super().build() - self.map_widget = ZillionManager.MapPanel(size_hint_x=None, width=ZillionManager.MapPanel.MAP_WIDTH) - self.main_area_container.add_widget(self.map_widget) - return container - - def toggle_map_width(self) -> None: - if self.map_widget.width == 0: - self.map_widget.width = ZillionManager.MapPanel.MAP_WIDTH - else: - self.map_widget.width = 0 - self.container.do_layout() - - def set_rooms(self, rooms: List[List[int]]) -> None: - self.map_widget.rooms = rooms - self.map_widget.update_map() - - self.ui = ZillionManager(self) - self.ui_toggle_map = lambda: self.ui.toggle_map_width() - self.ui_set_rooms = lambda rooms: self.ui.set_rooms(rooms) - run_co: Coroutine[Any, Any, None] = self.ui.async_run() - self.ui_task = asyncio.create_task(run_co, name="UI") - - def on_package(self, cmd: str, args: Dict[str, Any]) -> None: - self.room_item_numbers_to_ui() - if cmd == "Connected": - logger.info("logged in to Archipelago server") - if "slot_data" not in args: - logger.warning("`Connected` packet missing `slot_data`") - return - slot_data = args["slot_data"] - - if "start_char" not in slot_data: - logger.warning("invalid Zillion `Connected` packet, `slot_data` missing `start_char`") - return - self.start_char = slot_data['start_char'] - if self.start_char not in {"Apple", "Champ", "JJ"}: - logger.warning("invalid Zillion `Connected` packet, " - f"`slot_data` `start_char` has invalid value: {self.start_char}") - - if "rescues" not in slot_data: - logger.warning("invalid Zillion `Connected` packet, `slot_data` missing `rescues`") - return - rescues = slot_data["rescues"] - self.rescues = {} - for rescue_id, json_info in rescues.items(): - assert rescue_id in ("0", "1"), f"invalid rescue_id in Zillion slot_data: {rescue_id}" - # TODO: just take start_char out of the RescueInfo so there's no opportunity for a mismatch? - assert json_info["start_char"] == self.start_char, \ - f'mismatch in Zillion slot data: {json_info["start_char"]} {self.start_char}' - ri = RescueInfo(json_info["start_char"], - json_info["room_code"], - json_info["mask"]) - self.rescues[0 if rescue_id == "0" else 1] = ri - - if "loc_mem_to_id" not in slot_data: - logger.warn("invalid Zillion `Connected` packet, `slot_data` missing `loc_mem_to_id`") - return - loc_mem_to_id = slot_data["loc_mem_to_id"] - self.loc_mem_to_id = {} - for mem_str, id_str in loc_mem_to_id.items(): - mem = int(mem_str) - id_ = int(id_str) - room_i = mem // 256 - assert 0 <= room_i < 74 - assert id_ in id_to_loc - self.loc_mem_to_id[mem] = id_ - - if len(self.loc_mem_to_id) != 394: - logger.warning("invalid Zillion `Connected` packet, " - f"`slot_data` missing locations in `loc_mem_to_id` - len {len(self.loc_mem_to_id)}") - - self.got_slot_data.set() - - payload = { - "cmd": "Get", - "keys": [f"zillion-{self.auth}-doors"] - } - async_start(self.send_msgs([payload])) - elif cmd == "Retrieved": - if "keys" not in args: - logger.warning(f"invalid Retrieved packet to ZillionClient: {args}") - return - keys = cast(Dict[str, Optional[str]], args["keys"]) - doors_b64 = keys.get(f"zillion-{self.auth}-doors", None) - if doors_b64: - logger.info("received door data from server") - doors = base64.b64decode(doors_b64) - self.to_game.put_nowait(events.DoorEventToGame(doors)) - elif cmd == "RoomInfo": - self.seed_name = args["seed_name"] - self.got_room_info.set() - - def room_item_numbers_to_ui(self) -> None: - rooms = [[0 for _ in range(8)] for _ in range(16)] - for loc_id in self.missing_locations: - loc_id_small = loc_id - base_id - loc_name = id_to_loc[loc_id_small] - y = ord(loc_name[0]) - 65 - x = ord(loc_name[2]) - 49 - if y == 9 and x == 5: - # don't show main computer in numbers - continue - assert (0 <= y < 16) and (0 <= x < 8), f"invalid index from location name {loc_name}" - rooms[y][x] += 1 - # TODO: also add locations with locals lost from loading save state or reset - self.ui_set_rooms(rooms) - - def process_from_game_queue(self) -> None: - if self.from_game.qsize(): - event_from_game = self.from_game.get_nowait() - if isinstance(event_from_game, events.AcquireLocationEventFromGame): - server_id = event_from_game.id + base_id - loc_name = id_to_loc[event_from_game.id] - self.locations_checked.add(server_id) - if server_id in self.missing_locations: - self.ap_local_count += 1 - n_locations = len(self.missing_locations) + len(self.checked_locations) - 1 # -1 to ignore win - logger.info(f'New Check: {loc_name} ({self.ap_local_count}/{n_locations})') - async_start(self.send_msgs([ - {"cmd": 'LocationChecks', "locations": [server_id]} - ])) - else: - # This will happen a lot in Zillion, - # because all the key words are local and unwatched by the server. - logger.debug(f"DEBUG: {loc_name} not in missing") - elif isinstance(event_from_game, events.DeathEventFromGame): - async_start(self.send_death()) - elif isinstance(event_from_game, events.WinEventFromGame): - if not self.finished_game: - async_start(self.send_msgs([ - {"cmd": 'LocationChecks', "locations": [loc_name_to_id["J-6 bottom far left"]]}, - {"cmd": "StatusUpdate", "status": ClientStatus.CLIENT_GOAL} - ])) - self.finished_game = True - elif isinstance(event_from_game, events.DoorEventFromGame): - if self.auth: - doors_b64 = base64.b64encode(event_from_game.doors).decode() - payload = { - "cmd": "Set", - "key": f"zillion-{self.auth}-doors", - "operations": [{"operation": "replace", "value": doors_b64}] - } - async_start(self.send_msgs([payload])) - else: - logger.warning(f"WARNING: unhandled event from game {event_from_game}") - - def process_items_received(self) -> None: - if len(self.items_received) > self.next_item: - zz_item_ids = [self.ap_id_to_zz_id[item.item] for item in self.items_received] - for index in range(self.next_item, len(self.items_received)): - ap_id = self.items_received[index].item - from_name = self.player_names[self.items_received[index].player] - # TODO: colors in this text, like sni client? - logger.info(f'received {self.ap_id_to_name[ap_id]} from {from_name}') - self.to_game.put_nowait( - events.ItemEventToGame(zz_item_ids) - ) - self.next_item = len(self.items_received) - - -def name_seed_from_ram(data: bytes) -> Tuple[str, str]: - """ returns player name, and end of seed string """ - if len(data) == 0: - # no connection to game - return "", "xxx" - null_index = data.find(b'\x00') - if null_index == -1: - logger.warning(f"invalid game id in rom {repr(data)}") - null_index = len(data) - name = data[:null_index].decode() - null_index_2 = data.find(b'\x00', null_index + 1) - if null_index_2 == -1: - null_index_2 = len(data) - seed_name = data[null_index + 1:null_index_2].decode() - - return name, seed_name - - -async def zillion_sync_task(ctx: ZillionContext) -> None: - logger.info("started zillion sync task") - - # to work around the Python bug where we can't check for RetroArch - if not ctx.look_for_retroarch.is_set(): - logger.info("Start Zillion in RetroArch, then use the /sms command to connect to it.") - await asyncio.wait(( - asyncio.create_task(ctx.look_for_retroarch.wait()), - asyncio.create_task(ctx.exit_event.wait()) - ), return_when=asyncio.FIRST_COMPLETED) - - last_log = "" - - def log_no_spam(msg: str) -> None: - nonlocal last_log - if msg != last_log: - last_log = msg - logger.info(msg) - - # to only show this message once per client run - help_message_shown = False - - with Memory(ctx.from_game, ctx.to_game) as memory: - while not ctx.exit_event.is_set(): - ram = await memory.read() - game_id = memory.get_rom_to_ram_data(ram) - name, seed_end = name_seed_from_ram(game_id) - if len(name): - if name == ctx.known_name: - ctx.auth = name - # this is the name we know - if ctx.server and ctx.server.socket: # type: ignore - if ctx.got_room_info.is_set(): - if ctx.seed_name and ctx.seed_name.endswith(seed_end): - # correct seed - if memory.have_generation_info(): - log_no_spam("everything connected") - await memory.process_ram(ram) - ctx.process_from_game_queue() - ctx.process_items_received() - else: # no generation info - if ctx.got_slot_data.is_set(): - memory.set_generation_info(ctx.rescues, ctx.loc_mem_to_id) - ctx.ap_id_to_name, ctx.ap_id_to_zz_id, _ap_id_to_zz_item = \ - make_id_to_others(ctx.start_char) - ctx.next_item = 0 - ctx.ap_local_count = len(ctx.checked_locations) - else: # no slot data yet - async_start(ctx.send_connect()) - log_no_spam("logging in to server...") - await asyncio.wait(( - asyncio.create_task(ctx.got_slot_data.wait()), - asyncio.create_task(ctx.exit_event.wait()), - asyncio.create_task(asyncio.sleep(6)) - ), return_when=asyncio.FIRST_COMPLETED) # to not spam connect packets - else: # not correct seed name - log_no_spam("incorrect seed - did you mix up roms?") - else: # no room info - # If we get here, it looks like `RoomInfo` packet got lost - log_no_spam("waiting for room info from server...") - else: # server not connected - log_no_spam("waiting for server connection...") - else: # new game - log_no_spam("connected to new game") - await ctx.disconnect() - ctx.reset_server_state() - ctx.seed_name = None - ctx.got_room_info.clear() - ctx.reset_game_state() - memory.reset_game_state() - - ctx.auth = name - ctx.known_name = name - async_start(ctx.connect()) - await asyncio.wait(( - asyncio.create_task(ctx.got_room_info.wait()), - asyncio.create_task(ctx.exit_event.wait()), - asyncio.create_task(asyncio.sleep(6)) - ), return_when=asyncio.FIRST_COMPLETED) - else: # no name found in game - if not help_message_shown: - logger.info('In RetroArch, make sure "Settings > Network > Network Commands" is on.') - help_message_shown = True - log_no_spam("looking for connection to game...") - await asyncio.sleep(0.3) - - await asyncio.sleep(0.09375) - logger.info("zillion sync task ending") - - -async def main() -> None: - parser = get_base_parser() - parser.add_argument('diff_file', default="", type=str, nargs="?", - help='Path to a .apzl Archipelago Binary Patch file') - # SNI parser.add_argument('--loglevel', default='info', choices=['debug', 'info', 'warning', 'error', 'critical']) - args = parser.parse_args() - print(args) - - if args.diff_file: - import Patch - logger.info("patch file was supplied - creating sms rom...") - meta, rom_file = Patch.create_rom_file(args.diff_file) - if "server" in meta: - args.connect = meta["server"] - logger.info(f"wrote rom file to {rom_file}") - - ctx = ZillionContext(args.connect, args.password) - if ctx.server_task is None: - ctx.server_task = asyncio.create_task(server_loop(ctx), name="ServerLoop") - - if gui_enabled: - ctx.run_gui() - ctx.run_cli() - - sync_task = asyncio.create_task(zillion_sync_task(ctx)) - - await ctx.exit_event.wait() - - ctx.server_address = None - logger.debug("waiting for sync task to end") - await sync_task - logger.debug("sync task ended") - await ctx.shutdown() - - -def launch() -> None: - colorama.init() - asyncio.run(main()) - colorama.deinit() diff --git a/worlds/zillion/config.py b/worlds/zillion/config.py deleted file mode 100644 index e08c4f4278ed..000000000000 --- a/worlds/zillion/config.py +++ /dev/null @@ -1 +0,0 @@ -base_id = 8675309 diff --git a/worlds/zillion/docs/en_Zillion.md b/worlds/zillion/docs/en_Zillion.md deleted file mode 100644 index 697a9b7dadbe..000000000000 --- a/worlds/zillion/docs/en_Zillion.md +++ /dev/null @@ -1,82 +0,0 @@ -# Zillion - -Zillion is a metroidvania-style game released in 1987 for the 8-bit Sega Master System. - -It's based on the anime Zillion (赤い光弾ジリオン, Akai Koudan Zillion). - -## Where is the options page? - -The [player options page for this game](../player-options) contains all the options you need to configure and export a config file. - -## What changes are made to this game? - -The way the original game lets the player choose who to level up has a few drawbacks in a multiworld randomizer: - - Possible softlock from making bad choices (example: nobody has jump 3 when it's required) - - In multiworld, you won't be able to choose because you won't know it's coming beforehand. - -So this randomizer uses a new level-up system: - - Everyone levels up together (even if they're not rescued yet). - - You can choose how many opa-opas are required for a level up. - - You can set a max level from 1 to 8. - - The currently active character is still the only one that gets the health refill. - ---- - -You can set these options to choose when characters will be able to attain certain jump levels: - -``` -jump levels - -vanilla balanced low restrictive - -jj ap ch jj ap ch jj ap ch jj ap ch -2 3 1 1 2 1 1 1 1 1 1 1 -2 3 1 2 2 1 1 2 1 1 1 1 -2 3 1 2 3 1 2 2 1 1 2 1 -2 3 1 2 3 2 2 3 1 1 2 1 -3 3 2 3 3 2 2 3 2 2 2 1 -3 3 2 3 3 2 3 3 2 2 2 1 -3 3 3 3 3 3 3 3 2 2 3 1 -3 3 3 3 3 3 3 3 3 2 3 2 -``` - -Note that in "restrictive" mode, Apple is the only one that can get jump level 3. - ---- - -You can set these options to choose when characters will be able to attain certain Zillion power (gun) levels: - -``` -zillion power - -vanilla balanced low restrictive - -jj ap ch jj ap ch jj ap ch jj ap ch -1 1 3 1 1 2 1 1 1 1 1 1 -2 2 3 2 1 2 1 1 2 1 1 2 -3 3 3 2 2 3 2 1 2 2 1 2 - 3 2 3 2 1 3 2 1 3 - 3 3 3 2 2 3 2 2 3 - 3 2 3 - 3 3 3 -``` - -Note that in "restrictive" mode, Champ is the only one that can get Zillion power level 3. - -## What does another world's item look like in Zillion? - -Canisters retain their original appearance, so you won't know if an item belongs to another player until you collect it. - -When you collect an item, you see the name of the player it goes to. You can see in the client log what item was -collected. - -## When the player receives an item, what happens? - -The item collect sound is played. You can see in the client log what item was received. - -## Unique Local Commands - -The following commands are only available when using the ZillionClient to play with Archipelago. - -- `/sms` Tell the client that Zillion is running in RetroArch. -- `/map` Toggle view of the map tracker. diff --git a/worlds/zillion/docs/setup_en.md b/worlds/zillion/docs/setup_en.md deleted file mode 100644 index c8e29fc36cde..000000000000 --- a/worlds/zillion/docs/setup_en.md +++ /dev/null @@ -1,107 +0,0 @@ -# Zillion Setup Guide - -## Required Software - -- [Archipelago](https://github.com/ArchipelagoMW/Archipelago/releases). - -- RetroArch 1.10.3 or newer from: [RetroArch Website](https://retroarch.com?page=platforms). - -- Your legally obtained Zillion ROM file, named `Zillion (UE) [!].sms` - -## Installation Procedures - -### RetroArch - -RetroArch 1.9.x will not work, as it is older than 1.10.3. - -1. Enter the RetroArch main menu screen. -2. Go to Main Menu --> Online Updater --> Core Downloader. Scroll down and install one of these cores: - - "Sega - MS/GG (SMS Plus GX)" - - "Sega - MS/GG/MD/CD (Genesis Plus GX) -3. Go to Settings --> User Interface. Set "Show Advanced Settings" to ON. -4. Go to Settings --> Network. Set "Network Commands" to ON. (It is found below Request Device 16.) Leave the default - Network Command Port at 55355. - -![Screenshot of Network Commands setting](/static/generated/docs/A%20Link%20to%20the%20Past/retroarch-network-commands-en.png) - -### Linux Setup - -Put your Zillion ROM file in the Archipelago directory in your home directory. - -### Windows Setup - -1. Download and install [Archipelago](). **The installer - file is located in the assets section at the bottom of the version information.** -2. The first time you do local generation or patch your game, you will be asked to locate your base ROM file. - This is the Zillion ROM file mentioned above in Required Software. This only needs to be done once. - ---- -# Play - -## Create a Config (.yaml) File - -### What is a config file and why do I need one? - -See the guide on setting up a basic YAML at the Archipelago setup -guide: [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en) - -### Where do I get a config file? - -The [player options page](/games/Zillion/player-options) on the website allows you to configure your personal options and export a config file from -them. - -### Verifying your config file - -If you would like to validate your config file to make sure it works, you may do so on the [YAML Validator page](/check). - -## Generating a Single-Player Game - -1. Navigate to the [player options page](/games/Zillion/player-options), configure your options, and click the "Generate Game" button. -2. A "Seed Info" page will appear. -3. Click the "Create New Room" link. -4. A server page will appear. Download your patch file from this page. -5. Patch your ROM file. - - Linux - - In the launcher, choose "Open Patch" and select your patch file. - - Windows - - Double-click on your patch file. - The Zillion Client will launch automatically, and create your ROM in the location of the patch file. -6. Open the ROM in RetroArch using the core "SMS Plus GX" or "Genesis Plus GX". - - For a single player game, any emulator (or a Sega Master System) can be used, but there are additional features with RetroArch and the Zillion Client. - - If you press reset or restore a save state and return to the surface in the game, the Zillion Client will keep open all the doors that you have opened. - -## Joining a MultiWorld Game - -1. Provide your config (yaml) file to the host and obtain your patch file. - - When you join a multiworld game, you will be asked to provide your config file to whoever is hosting. Once that is done, the host will provide you with either a link to download your patch file, or with a zip file containing everyone's patch files. Your patch file should have a `.apzl` extension. - - If you activate the "room generation" option in your config (yaml), you might want to tell your host that the generation will take longer than normal. It takes approximately 20 seconds longer for each Zillion player that enables this option. -2. Create your ROM. - - Linux - - In the Archipelago Launcher, choose "Open Patch" and select your `.apzl` patch file. - - Windows - - Put your patch file on your desktop or somewhere convenient, and double click it. - - This should automatically launch the client, and will also create your ROM in the same place as your patch file. -3. Connect to the client. - - Use RetroArch to open the ROM that was generated. - - Be sure to select the **SMS Plus GX** core or the **Genesis Plus GX** core. These cores will allow external tools to read RAM data. -4. Connect to the Archipelago Server. - - The patch file which launched your client should have automatically connected you to the AP Server. There are a few reasons this may not happen however, including if the game is hosted on the website but was generated elsewhere. If the client window shows "Server Status: Not Connected", simply ask the host for the address of the server, and copy/paste it into the "Server" input field then press enter. - - The client will attempt to reconnect to the new server address, and should momentarily show "Server Status: Connected". -5. Play the game. - - When the client shows both Game and Server as connected, you're ready to begin playing. Congratulations on successfully joining a multiworld game! - -## Hosting a MultiWorld game - -The recommended way to host a game is to use our hosting service. The process is relatively simple: - -1. Collect config files from your players. -2. Create a zip file containing your players' config files. -3. Upload that zip file to the [Generation page](/generate). - - Generate page: [WebHost Seed Generation Page](/generate) -4. Wait a moment while the seed is generated. -5. When the seed is generated, a "Seed Info" page will appear. -6. Click "Create New Room". This will take you to the server page. Provide the link to this page to your players, so - they may download their patch files from there. -7. Note that a link to a MultiWorld Tracker is at the top of the room page. The tracker shows the progress of all - players in the game. Any observers may also be given the link to this page. -8. 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zMQ1qelph%4{Z#amQ9Vxo>|`$cKE|=-RruFJ$lbc<`Mi(=!q8p`-%~O&ijLE>04Yh+ zH)AD+zZf9pM}%|_OIxkDuc9~wHqz(_FuLL=5rqQP-T^p9IXYB!Oflwb4n`)b^f!B? z8K9MaeMn@TQnL{I-dOqyryh#VpzNVv*~P??pnj?f%MP(?Vn3C`9c!RZN@1AT(KzkI(wgA#t8id1iee1%?DD}w92w% z6BMx7Hf77|e8}t=5RrO!T*GGpH-k^Gm2G=$FeI9}EguJSemvcf)X895a-sIy_*5Q5 zdPbPypTQqq~Hijp~z>yGtdRH!^vrg`YZ;q$@3#?W;R%#&~{ zvn}f=l29Y}me@=JMlM9SjiG0h)LB;%Qdt@^#eVG!aI^N6V?sL4XsWizPHXADFZY8< zlmh9OeFm=nqCEllLlGOBk=yLMSGWsIJQFh*Lf^xAjx^J*b+7(j!JTOiXSCbNTV*y_ zh*x5iYxyB$N|YX~zO3PMyN1Zi>=wwe_R^Zx2BSqU*P7P*aF8)#p8P>FEERFWmH+hC zXNG{42AfcdNKuh9O&0|-7g?#dSrs6MuFWrcWM0=8TMO!-bh~c;oE=Ve{D zi3VCwwddaJ!LmjPRxgGWxr_SW7d|NW=;bSZ@}MJ~e3p^)Eqlcl+qS%)G49x=yya wF8>9n str: - """ serialized data from generation needed to patch rom """ - jsonable = { - "multi_items": self.multi_items, - "zz_game": self.zz_game.to_jsonable(), - "game_id": list(self.game_id) - } - return json.dumps(jsonable) - - @staticmethod - def from_json(gen_data_str: str) -> "GenData": - """ the reverse of `to_json` """ - from_json = json.loads(gen_data_str) - return GenData( - from_json["multi_items"], - ZzGame.from_jsonable(from_json["zz_game"]), - bytes(from_json["game_id"]) - ) diff --git a/worlds/zillion/id_maps.py b/worlds/zillion/id_maps.py deleted file mode 100644 index 32d71fc79b30..000000000000 --- a/worlds/zillion/id_maps.py +++ /dev/null @@ -1,158 +0,0 @@ -from collections import defaultdict -from typing import Dict, Iterable, Mapping, Tuple, TypedDict - -from zilliandomizer.logic_components.items import ( - Item as ZzItem, - KEYWORD, - NORMAL, - RESCUE, - item_name_to_id as zz_item_name_to_zz_id, - items as zz_items, - item_name_to_item as zz_item_name_to_zz_item, -) -from zilliandomizer.logic_components.regions import RegionData -from zilliandomizer.low_resources.item_rooms import item_room_codes -from zilliandomizer.options import Chars -from zilliandomizer.utils.loc_name_maps import loc_to_id as pretty_loc_name_to_id -from zilliandomizer.utils import parse_loc_name, parse_reg_name -from zilliandomizer.zri.memory import RescueInfo - -from .config import base_id as base_id - -item_name_to_id = { - "Apple": 0 + base_id, - "Champ": 1 + base_id, - "JJ": 2 + base_id, - "Win": 3 + base_id, - "Empty": 4 + base_id, - "ID Card": 5 + base_id, - "Red ID Card": 6 + base_id, - "Floppy Disk": 7 + base_id, - "Bread": 8 + base_id, - "Opa-Opa": 9 + base_id, - "Zillion": 10 + base_id, - "Scope": 11 + base_id, -} - - -_zz_rescue_0 = zz_item_name_to_zz_item["rescue_0"] -_zz_rescue_1 = zz_item_name_to_zz_item["rescue_1"] -_zz_empty = zz_item_name_to_zz_item["empty"] - - -def make_id_to_others(start_char: Chars) -> Tuple[ - Dict[int, str], Dict[int, int], Dict[int, ZzItem] -]: - """ returns id_to_name, id_to_zz_id, id_to_zz_item """ - id_to_name: Dict[int, str] = {} - id_to_zz_id: Dict[int, int] = {} - id_to_zz_item: Dict[int, ZzItem] = {} - - if start_char == "JJ": - name_to_zz_item = { - "Apple": _zz_rescue_0, - "Champ": _zz_rescue_1, - "JJ": _zz_empty - } - elif start_char == "Apple": - name_to_zz_item = { - "Apple": _zz_empty, - "Champ": _zz_rescue_1, - "JJ": _zz_rescue_0 - } - else: # Champ - name_to_zz_item = { - "Apple": _zz_rescue_0, - "Champ": _zz_empty, - "JJ": _zz_rescue_1 - } - - for name, ap_id in item_name_to_id.items(): - id_to_name[ap_id] = name - - if ap_id >= 4 + base_id: - index = ap_id - base_id - zz_item = zz_items[index] - assert zz_item.id == index and zz_item.name == name - elif ap_id < 3 + base_id: - # rescue - assert name in {"Apple", "Champ", "JJ"} - zz_item = name_to_zz_item[name] - else: # main - zz_item = zz_item_name_to_zz_item["main"] - - id_to_zz_id[ap_id] = zz_item_name_to_zz_id[zz_item.debug_name] - id_to_zz_item[ap_id] = zz_item - - return id_to_name, id_to_zz_id, id_to_zz_item - - -def make_room_name(row: int, col: int) -> str: - return f"{chr(ord('A') + row - 1)}-{col + 1}" - - -loc_name_to_id: Dict[str, int] = { - name: id_ + base_id - for name, id_ in pretty_loc_name_to_id.items() -} - - -def zz_reg_name_to_reg_name(zz_reg_name: str) -> str: - if zz_reg_name[0] == 'r' and zz_reg_name[3] == 'c': - row, col = parse_reg_name(zz_reg_name) - end = zz_reg_name[5:] - return f"{make_room_name(row, col)} {end.upper()}" - return zz_reg_name - - -class ClientRescue(TypedDict): - start_char: Chars - room_code: int - mask: int - - -class ZillionSlotInfo(TypedDict): - start_char: Chars - rescues: Dict[str, ClientRescue] - loc_mem_to_id: Dict[int, int] - """ memory location of canister to Archipelago location id number """ - - -def get_slot_info(regions: Iterable[RegionData], - start_char: Chars, - loc_name_to_pretty: Mapping[str, str]) -> ZillionSlotInfo: - items_placed_in_map_index: Dict[int, int] = defaultdict(int) - rescue_locations: Dict[int, RescueInfo] = {} - loc_memory_to_loc_id: Dict[int, int] = {} - for region in regions: - for loc in region.locations: - assert loc.item, ("There should be an item placed in every location before " - f"writing slot info. {loc.name} is missing item.") - if loc.item.code in {KEYWORD, NORMAL, RESCUE}: - row, col, _y, _x = parse_loc_name(loc.name) - map_index = row * 8 + col - item_no = items_placed_in_map_index[map_index] - room_code = item_room_codes[map_index] - - r = room_code - m = 1 << item_no - if loc.item.code == RESCUE: - rescue_locations[loc.item.id] = RescueInfo(start_char, r, m) - loc_memory = (r << 7) | m - loc_memory_to_loc_id[loc_memory] = pretty_loc_name_to_id[loc_name_to_pretty[loc.name]] - items_placed_in_map_index[map_index] += 1 - - rescues: Dict[str, ClientRescue] = {} - for i in (0, 1): - if i in rescue_locations: - ri = rescue_locations[i] - rescues[str(i)] = { - "start_char": ri.start_char, - "room_code": ri.room_code, - "mask": ri.mask - } - return { - "start_char": start_char, - "rescues": rescues, - "loc_mem_to_id": loc_memory_to_loc_id - } diff --git a/worlds/zillion/item.py b/worlds/zillion/item.py deleted file mode 100644 index fdf0fa8ba247..000000000000 --- a/worlds/zillion/item.py +++ /dev/null @@ -1,12 +0,0 @@ -from BaseClasses import Item, ItemClassification as IC -from zilliandomizer.logic_components.items import Item as ZzItem - - -class ZillionItem(Item): - game = "Zillion" - __slots__ = ("zz_item",) - zz_item: ZzItem - - def __init__(self, name: str, classification: IC, code: int, player: int, zz_item: ZzItem) -> None: - super().__init__(name, classification, code, player) - self.zz_item = zz_item diff --git a/worlds/zillion/logic.py b/worlds/zillion/logic.py deleted file mode 100644 index dcbc6131f1a9..000000000000 --- a/worlds/zillion/logic.py +++ /dev/null @@ -1,81 +0,0 @@ -from typing import Dict, FrozenSet, Tuple, List, Counter as _Counter - -from BaseClasses import CollectionState - -from zilliandomizer.logic_components.items import Item, items -from zilliandomizer.logic_components.locations import Location -from zilliandomizer.randomizer import Randomizer - -from .item import ZillionItem -from .id_maps import item_name_to_id - -zz_empty = items[4] - -# TODO: unit tests for these - - -def set_randomizer_locs(cs: CollectionState, p: int, zz_r: Randomizer) -> int: - """ - sync up zilliandomizer locations with archipelago locations - - returns a hash of the player and of the set locations with their items - """ - from . import ZillionWorld - z_world = cs.multiworld.worlds[p] - assert isinstance(z_world, ZillionWorld) - - _hash = p - for z_loc in z_world.my_locations: - zz_name = z_loc.zz_loc.name - zz_item = z_loc.item.zz_item \ - if isinstance(z_loc.item, ZillionItem) and z_loc.item.player == p \ - else zz_empty - zz_r.locations[zz_name].item = zz_item - _hash += (hash(zz_name) * (z_loc.zz_loc.req.gun + 2)) ^ hash(zz_item) - return _hash - - -def item_counts(cs: CollectionState, p: int) -> Tuple[Tuple[str, int], ...]: - """ - the zilliandomizer items that player p has collected - - ((item_name, count), (item_name, count), ...) - """ - return tuple((item_name, cs.count(item_name, p)) for item_name in item_name_to_id) - - -LogicCacheType = Dict[int, Tuple[Dict[int, _Counter[str]], FrozenSet[Location]]] -""" { hash: (cs.prog_items, accessible_locations) } """ - - -def cs_to_zz_locs(cs: CollectionState, p: int, zz_r: Randomizer, id_to_zz_item: Dict[int, Item]) -> FrozenSet[Location]: - """ - given an Archipelago `CollectionState`, - returns frozenset of accessible zilliandomizer locations - """ - # caching this function because it would be slow - logic_cache: LogicCacheType = getattr(cs.multiworld, "zillion_logic_cache", {}) - _hash = set_randomizer_locs(cs, p, zz_r) - counts = item_counts(cs, p) - _hash += hash(counts) - - if _hash in logic_cache and logic_cache[_hash][0] == cs.prog_items: - # print("cache hit") - return logic_cache[_hash][1] - - # print("cache miss") - have_items: List[Item] = [] - for name, count in counts: - have_items.extend([id_to_zz_item[item_name_to_id[name]]] * count) - # have_req is the result of converting AP CollectionState to zilliandomizer collection state - have_req = zz_r.make_ability(have_items) - - # This `get_locations` is where the core of the logic comes in. - # It takes a zilliandomizer collection state (a set of the abilities that I have) - # and returns list of all the zilliandomizer locations I can access with those abilities. - tr = frozenset(zz_r.get_locations(have_req)) - - # save result in cache - logic_cache[_hash] = (cs.prog_items.copy(), tr) - - return tr diff --git a/worlds/zillion/options.py b/worlds/zillion/options.py deleted file mode 100644 index d75dd1a1c22c..000000000000 --- a/worlds/zillion/options.py +++ /dev/null @@ -1,399 +0,0 @@ -from collections import Counter -from dataclasses import dataclass -from typing import ClassVar, Dict, Tuple -from typing_extensions import TypeGuard # remove when Python >= 3.10 - -from Options import Choice, DefaultOnToggle, NamedRange, OptionGroup, PerGameCommonOptions, Range, Toggle - -from zilliandomizer.options import ( - Options as ZzOptions, char_to_gun, char_to_jump, ID, - VBLR as ZzVBLR, Chars, ItemCounts as ZzItemCounts -) -from zilliandomizer.options.parsing import validate as zz_validate - - -class ZillionContinues(NamedRange): - """ - number of continues before game over - - game over teleports you to your ship, keeping items and open doors - """ - default = 3 - range_start = 0 - range_end = 21 - display_name = "continues" - special_range_names = { - "vanilla": 3, - "infinity": 21 - } - - -class ZillionFloppyReq(Range): - """ how many floppy disks are required """ - range_start = 0 - range_end = 8 - default = 5 - display_name = "floppies required" - - -class VBLR(Choice): - option_vanilla = 0 - option_balanced = 1 - option_low = 2 - option_restrictive = 3 - default = 1 - - def to_zz_vblr(self) -> ZzVBLR: - def is_vblr(o: str) -> TypeGuard[ZzVBLR]: - """ - This function is because mypy doesn't support narrowing with `in`, - https://github.com/python/mypy/issues/12535 - so this is the only way I see to get type narrowing to `Literal`. - """ - return o in ("vanilla", "balanced", "low", "restrictive") - - key = self.current_key - assert is_vblr(key), f"{key=}" - return key - - -class ZillionGunLevels(VBLR): - """ - Zillion gun power for the number of Zillion power ups you pick up - - For "restrictive", Champ is the only one that can get Zillion gun power level 3. - """ - display_name = "gun levels" - - -class ZillionJumpLevels(VBLR): - """ - jump levels for each character level - - For "restrictive", Apple is the only one that can get jump level 3. - """ - display_name = "jump levels" - - -class ZillionRandomizeAlarms(DefaultOnToggle): - """ whether to randomize the locations of alarm sensors """ - display_name = "randomize alarms" - - -class ZillionMaxLevel(Range): - """ the highest level you can get """ - range_start = 3 - range_end = 8 - default = 8 - display_name = "max level" - - -class ZillionOpasPerLevel(Range): - """ - how many Opa-Opas are required to level up - - Lower makes you level up faster. - """ - range_start = 1 - range_end = 5 - default = 2 - display_name = "Opa-Opas per level" - - -class ZillionStartChar(Choice): - """ which character you start with """ - option_jj = 0 - option_apple = 1 - option_champ = 2 - display_name = "start character" - default = "random" - - _name_capitalization: ClassVar[Dict[int, Chars]] = { - option_jj: "JJ", - option_apple: "Apple", - option_champ: "Champ", - } - - def get_char(self) -> Chars: - return ZillionStartChar._name_capitalization[self.value] - - -class ZillionIDCardCount(Range): - """ - how many ID Cards are in the game - - Vanilla is 63 - - maximum total for all items is 144 - """ - range_start = 0 - range_end = 126 - default = 42 - display_name = "ID Card count" - - -class ZillionBreadCount(Range): - """ - how many Breads are in the game - - Vanilla is 33 - - maximum total for all items is 144 - """ - range_start = 0 - range_end = 126 - default = 50 - display_name = "Bread count" - - -class ZillionOpaOpaCount(Range): - """ - how many Opa-Opas are in the game - - Vanilla is 26 - - maximum total for all items is 144 - """ - range_start = 0 - range_end = 126 - default = 26 - display_name = "Opa-Opa count" - - -class ZillionZillionCount(Range): - """ - how many Zillion gun power ups are in the game - - Vanilla is 6 - - maximum total for all items is 144 - """ - range_start = 0 - range_end = 126 - default = 8 - display_name = "Zillion power up count" - - -class ZillionFloppyDiskCount(Range): - """ - how many Floppy Disks are in the game - - Vanilla is 5 - - maximum total for all items is 144 - """ - range_start = 0 - range_end = 126 - default = 7 - display_name = "Floppy Disk count" - - -class ZillionScopeCount(Range): - """ - how many Scopes are in the game - - Vanilla is 4 - - maximum total for all items is 144 - """ - range_start = 0 - range_end = 126 - default = 4 - display_name = "Scope count" - - -class ZillionRedIDCardCount(Range): - """ - how many Red ID Cards are in the game - - Vanilla is 1 - - maximum total for all items is 144 - """ - range_start = 0 - range_end = 126 - default = 2 - display_name = "Red ID Card count" - - -class ZillionEarlyScope(Toggle): - """ make sure Scope is available early """ - display_name = "early scope" - - -class ZillionSkill(Range): - """ - the difficulty level of the game - - higher skill: - - can require more precise platforming movement - - lowers your defense - - gives you less time to escape at the end - """ - range_start = 0 - range_end = 5 - default = 2 - - -class ZillionStartingCards(NamedRange): - """ - how many ID Cards to start the game with - - Refilling at the ship also ensures you have at least this many cards. - 0 gives vanilla behavior. - """ - default = 2 - range_start = 0 - range_end = 10 - display_name = "starting cards" - special_range_names = { - "vanilla": 0 - } - - -class ZillionRoomGen(Toggle): - """ whether to generate rooms with random terrain """ - display_name = "room generation" - - -@dataclass -class ZillionOptions(PerGameCommonOptions): - continues: ZillionContinues - floppy_req: ZillionFloppyReq - gun_levels: ZillionGunLevels - jump_levels: ZillionJumpLevels - randomize_alarms: ZillionRandomizeAlarms - max_level: ZillionMaxLevel - start_char: ZillionStartChar - opas_per_level: ZillionOpasPerLevel - id_card_count: ZillionIDCardCount - bread_count: ZillionBreadCount - opa_opa_count: ZillionOpaOpaCount - zillion_count: ZillionZillionCount - floppy_disk_count: ZillionFloppyDiskCount - scope_count: ZillionScopeCount - red_id_card_count: ZillionRedIDCardCount - early_scope: ZillionEarlyScope - skill: ZillionSkill - starting_cards: ZillionStartingCards - room_gen: ZillionRoomGen - - -z_option_groups = [ - OptionGroup("item counts", [ - ZillionIDCardCount, ZillionBreadCount, ZillionOpaOpaCount, ZillionZillionCount, - ZillionFloppyDiskCount, ZillionScopeCount, ZillionRedIDCardCount - ]) -] - - -def convert_item_counts(ic: "Counter[str]") -> ZzItemCounts: - tr: ZzItemCounts = { - ID.card: ic["ID Card"], - ID.red: ic["Red ID Card"], - ID.floppy: ic["Floppy Disk"], - ID.bread: ic["Bread"], - ID.gun: ic["Zillion"], - ID.opa: ic["Opa-Opa"], - ID.scope: ic["Scope"], - ID.empty: ic["Empty"], - } - return tr - - -def validate(options: ZillionOptions) -> "Tuple[ZzOptions, Counter[str]]": - """ - adjusts options to make game completion possible - - `options` parameter is ZillionOptions object that was put on my world by the core - """ - - skill = options.skill.value - - jump_option = options.jump_levels.to_zz_vblr() - required_level = char_to_jump["Apple"][jump_option].index(3) + 1 - if skill == 0: - # because of hp logic on final boss - required_level = 8 - - gun_option = options.gun_levels.to_zz_vblr() - guns_required = char_to_gun["Champ"][gun_option].index(3) - - floppy_req = options.floppy_req - - item_counts = Counter({ - "ID Card": options.id_card_count, - "Bread": options.bread_count, - "Opa-Opa": options.opa_opa_count, - "Zillion": options.zillion_count, - "Floppy Disk": options.floppy_disk_count, - "Scope": options.scope_count, - "Red ID Card": options.red_id_card_count - }) - minimums = Counter({ - "ID Card": 0, - "Bread": 0, - "Opa-Opa": required_level - 1, - "Zillion": guns_required, - "Floppy Disk": floppy_req.value, - "Scope": 0, - "Red ID Card": 1 - }) - for key in minimums: - item_counts[key] = max(minimums[key], item_counts[key]) - max_movables = 144 - sum(minimums.values()) - movables = item_counts - minimums - while sum(movables.values()) > max_movables: - # logging.warning("zillion options validate: player options item counts too high") - total = sum(movables.values()) - scaler = max_movables / total - for key in movables: - movables[key] = int(movables[key] * scaler) - item_counts = movables + minimums - - # now have required items, and <= 144 - - # now fill remaining with empty - total = sum(item_counts.values()) - diff = 144 - total - if "Empty" not in item_counts: - item_counts["Empty"] = 0 - item_counts["Empty"] += diff - assert sum(item_counts.values()) == 144 - - max_level = options.max_level - max_level.value = max(required_level, max_level.value) - - opas_per_level = options.opas_per_level - while (opas_per_level.value > 1) and (1 + item_counts["Opa-Opa"] // opas_per_level.value < max_level.value): - # logging.warning( - # "zillion options validate: option opas_per_level incompatible with options max_level and opa_opa_count" - # ) - opas_per_level.value -= 1 - - # that should be all of the level requirements met - - starting_cards = options.starting_cards - - room_gen = options.room_gen - - zz_item_counts = convert_item_counts(item_counts) - zz_op = ZzOptions( - zz_item_counts, - jump_option, - gun_option, - opas_per_level.value, - max_level.value, - False, # tutorial - skill, - options.start_char.get_char(), - floppy_req.value, - options.continues.value, - bool(options.randomize_alarms.value), - bool(options.early_scope.value), - True, # balance defense - starting_cards.value, - bool(room_gen.value) - ) - zz_validate(zz_op) - return zz_op, item_counts diff --git a/worlds/zillion/patch.py b/worlds/zillion/patch.py deleted file mode 100644 index 6bc6d04dd663..000000000000 --- a/worlds/zillion/patch.py +++ /dev/null @@ -1,83 +0,0 @@ -import os -from typing import Any, BinaryIO, Optional, cast -import zipfile - -from typing_extensions import override - -import Utils -from worlds.Files import APAutoPatchInterface - -from zilliandomizer.patch import Patcher - -from .gen_data import GenData - -USHASH = 'd4bf9e7bcf9a48da53785d2ae7bc4270' - - -class ZillionPatch(APAutoPatchInterface): - hash = USHASH - game = "Zillion" - patch_file_ending = ".apzl" - result_file_ending = ".sms" - - gen_data_str: str - """ JSON encoded """ - - def __init__(self, *args: Any, gen_data_str: str = "", **kwargs: Any) -> None: - super().__init__(*args, **kwargs) - self.gen_data_str = gen_data_str - - @classmethod - def get_source_data(cls) -> bytes: - with open(get_base_rom_path(), "rb") as stream: - return read_rom(stream) - - @override - def write_contents(self, opened_zipfile: zipfile.ZipFile) -> None: - super().write_contents(opened_zipfile) - opened_zipfile.writestr("gen_data.json", - self.gen_data_str, - compress_type=zipfile.ZIP_DEFLATED) - - @override - def read_contents(self, opened_zipfile: zipfile.ZipFile) -> None: - super().read_contents(opened_zipfile) - self.gen_data_str = opened_zipfile.read("gen_data.json").decode() - - def patch(self, target: str) -> None: - self.read() - write_rom_from_gen_data(self.gen_data_str, target) - - -def get_base_rom_path(file_name: Optional[str] = None) -> str: - options = Utils.get_options() - if not file_name: - file_name = cast(str, options["zillion_options"]["rom_file"]) - if not os.path.exists(file_name): - file_name = Utils.user_path(file_name) - return file_name - - -def read_rom(stream: BinaryIO) -> bytes: - """ reads rom into bytearray """ - data = stream.read() - # I'm not aware of any sms header. - return data - - -def write_rom_from_gen_data(gen_data_str: str, output_rom_file_name: str) -> None: - """ take the output of `GenData.to_json`, and create rom from it """ - gen_data = GenData.from_json(gen_data_str) - - base_rom_path = get_base_rom_path() - zz_patcher = Patcher(base_rom_path) - - zz_patcher.write_locations(gen_data.zz_game.regions, gen_data.zz_game.char_order[0]) - zz_patcher.all_fixes_and_options(gen_data.zz_game) - zz_patcher.set_external_item_interface(gen_data.zz_game.char_order[0], gen_data.zz_game.options.max_level) - zz_patcher.set_multiworld_items(gen_data.multi_items) - zz_patcher.set_rom_to_ram_data(gen_data.game_id) - - patched_rom_bytes = zz_patcher.get_patched_bytes() - with open(output_rom_file_name, "wb") as binary_file: - binary_file.write(patched_rom_bytes) diff --git a/worlds/zillion/py.typed b/worlds/zillion/py.typed deleted file mode 100644 index e69de29bb2d1..000000000000 diff --git a/worlds/zillion/region.py b/worlds/zillion/region.py deleted file mode 100644 index cf5aa6588950..000000000000 --- a/worlds/zillion/region.py +++ /dev/null @@ -1,48 +0,0 @@ -from typing import Optional -from BaseClasses import MultiWorld, Region, Location, Item, CollectionState -from zilliandomizer.logic_components.regions import Region as ZzRegion -from zilliandomizer.logic_components.locations import Location as ZzLocation -from zilliandomizer.logic_components.items import RESCUE - -from .id_maps import loc_name_to_id -from .item import ZillionItem - - -class ZillionRegion(Region): - zz_r: ZzRegion - - def __init__(self, zz_r: ZzRegion, - name: str, - hint: str, - player: int, - multiworld: MultiWorld) -> None: - super().__init__(name, player, multiworld, hint) - self.zz_r = zz_r - - -class ZillionLocation(Location): - zz_loc: ZzLocation - game: str = "Zillion" - - def __init__(self, - zz_loc: ZzLocation, - player: int, - name: str, - parent: Optional[Region] = None) -> None: - loc_id = loc_name_to_id[name] - super().__init__(player, name, loc_id, parent) - self.zz_loc = zz_loc - - # override - def can_fill(self, state: CollectionState, item: Item, check_access: bool = True) -> bool: - saved_gun_req = -1 - if isinstance(item, ZillionItem) \ - and item.zz_item.code == RESCUE \ - and self.player == item.player: - # RESCUE removes the gun requirement from a location. - saved_gun_req = self.zz_loc.req.gun - self.zz_loc.req.gun = 0 - super_result = super().can_fill(state, item, check_access) - if saved_gun_req != -1: - self.zz_loc.req.gun = saved_gun_req - return super_result diff --git a/worlds/zillion/requirements.txt b/worlds/zillion/requirements.txt deleted file mode 100644 index 3a784846a891..000000000000 --- a/worlds/zillion/requirements.txt +++ /dev/null @@ -1,2 +0,0 @@ -zilliandomizer @ git+https://github.com/beauxq/zilliandomizer@b36a23b5a138c78732ac8efb5b5ca8b0be07dcff#0.7.0 -typing-extensions>=4.7, <5 diff --git a/worlds/zillion/test/TestGoal.py b/worlds/zillion/test/TestGoal.py deleted file mode 100644 index 1c7930569913..000000000000 --- a/worlds/zillion/test/TestGoal.py +++ /dev/null @@ -1,149 +0,0 @@ -from . import ZillionTestBase - - -class TestGoalVanilla(ZillionTestBase): - options = { - "start_char": "JJ", - "jump_levels": "vanilla", - "gun_levels": "vanilla", - "floppy_disk_count": 7, - "floppy_req": 6, - } - - def test_floppies(self) -> None: - self.collect_by_name(["Apple", "Champ", "Red ID Card"]) - self.assertBeatable(False) # 0 floppies - floppies = self.get_items_by_name("Floppy Disk") - win = self.get_item_by_name("Win") - self.collect(floppies[:-2]) # 1 too few - self.assertEqual(self.count("Floppy Disk"), 5) - self.assertBeatable(False) - self.collect(floppies[-2:-1]) # exact - self.assertEqual(self.count("Floppy Disk"), 6) - self.assertBeatable(True) - self.remove([win]) # reset - self.collect(floppies[-1:]) # 1 extra - self.assertEqual(self.count("Floppy Disk"), 7) - self.assertBeatable(True) - - def test_with_everything(self) -> None: - self.collect_by_name(["Apple", "Champ", "Red ID Card", "Floppy Disk"]) - self.assertBeatable(True) - - def test_no_jump(self) -> None: - self.collect_by_name(["Champ", "Red ID Card", "Floppy Disk"]) - self.assertBeatable(False) - - def test_no_gun(self) -> None: - self.ensure_gun_3_requirement() - self.collect_by_name(["Apple", "Red ID Card", "Floppy Disk"]) - self.assertBeatable(False) - - def test_no_red(self) -> None: - self.collect_by_name(["Apple", "Champ", "Floppy Disk"]) - self.assertBeatable(False) - - -class TestGoalBalanced(ZillionTestBase): - options = { - "start_char": "JJ", - "jump_levels": "balanced", - "gun_levels": "balanced", - } - - def test_jump(self) -> None: - self.collect_by_name(["Red ID Card", "Floppy Disk", "Zillion"]) - self.assertBeatable(False) # not enough jump - opas = self.get_items_by_name("Opa-Opa") - self.collect(opas[:1]) # too few - self.assertEqual(self.count("Opa-Opa"), 1) - self.assertBeatable(False) - self.collect(opas[1:]) - self.assertBeatable(True) - - def test_guns(self) -> None: - self.ensure_gun_3_requirement() - self.collect_by_name(["Red ID Card", "Floppy Disk", "Opa-Opa"]) - self.assertBeatable(False) # not enough gun - guns = self.get_items_by_name("Zillion") - self.collect(guns[:1]) # too few - self.assertEqual(self.count("Zillion"), 1) - self.assertBeatable(False) - self.collect(guns[1:]) - self.assertBeatable(True) - - -class TestGoalRestrictive(ZillionTestBase): - options = { - "start_char": "JJ", - "jump_levels": "restrictive", - "gun_levels": "restrictive", - } - - def test_jump(self) -> None: - self.collect_by_name(["Champ", "Red ID Card", "Floppy Disk", "Zillion"]) - self.assertBeatable(False) # not enough jump - self.collect_by_name("Opa-Opa") - self.assertBeatable(False) # with all opas, jj champ can't jump - self.collect_by_name("Apple") - self.assertBeatable(True) - - def test_guns(self) -> None: - self.ensure_gun_3_requirement() - self.collect_by_name(["Apple", "Red ID Card", "Floppy Disk", "Opa-Opa"]) - self.assertBeatable(False) # not enough gun - self.collect_by_name("Zillion") - self.assertBeatable(False) # with all guns, jj apple can't gun - self.collect_by_name("Champ") - self.assertBeatable(True) - - -class TestGoalAppleStart(ZillionTestBase): - """ creation of character rescue items has some special interactions with logic """ - options = { - "start_char": "Apple", - "jump_levels": "balanced", - "gun_levels": "low", - "zillion_count": 5 - } - - def test_guns_jj_first(self) -> None: - """ with low gun levels, 5 Zillion is enough to get JJ to gun 3 """ - self.ensure_gun_3_requirement() - self.collect_by_name(["JJ", "Red ID Card", "Floppy Disk", "Opa-Opa"]) - self.assertBeatable(False) # not enough gun - self.collect_by_name("Zillion") - self.assertBeatable(True) - - def test_guns_zillions_first(self) -> None: - """ with low gun levels, 5 Zillion is enough to get JJ to gun 3 """ - self.ensure_gun_3_requirement() - self.collect_by_name(["Zillion", "Red ID Card", "Floppy Disk", "Opa-Opa"]) - self.assertBeatable(False) # not enough gun - self.collect_by_name("JJ") - self.assertBeatable(True) - - -class TestGoalChampStart(ZillionTestBase): - """ creation of character rescue items has some special interactions with logic """ - options = { - "start_char": "Champ", - "jump_levels": "low", - "gun_levels": "balanced", - "opa_opa_count": 5, - "opas_per_level": 1 - } - - def test_jump_jj_first(self) -> None: - """ with low jump levels, 5 level-ups is enough to get JJ to jump 3 """ - self.collect_by_name(["JJ", "Red ID Card", "Floppy Disk", "Zillion"]) - self.assertBeatable(False) # not enough jump - self.collect_by_name("Opa-Opa") - self.assertBeatable(True) - - def test_jump_opa_first(self) -> None: - """ with low jump levels, 5 level-ups is enough to get JJ to jump 3 """ - self.collect_by_name(["Opa-Opa", "Red ID Card", "Floppy Disk", "Zillion"]) - self.assertBeatable(False) # not enough jump - self.collect_by_name("JJ") - self.assertBeatable(True) diff --git a/worlds/zillion/test/TestOptions.py b/worlds/zillion/test/TestOptions.py deleted file mode 100644 index c4f02d4bd3be..000000000000 --- a/worlds/zillion/test/TestOptions.py +++ /dev/null @@ -1,30 +0,0 @@ -from . import ZillionTestBase - -from worlds.zillion.options import ZillionJumpLevels, ZillionGunLevels, ZillionOptions, validate -from zilliandomizer.options import VBLR_CHOICES - - -class OptionsTest(ZillionTestBase): - auto_construct = False - - def test_validate_default(self) -> None: - self.world_setup() - options = self.multiworld.worlds[1].options - assert isinstance(options, ZillionOptions) - validate(options) - - def test_vblr_ap_to_zz(self) -> None: - """ all of the valid values for the AP options map to valid values for ZZ options """ - for option_name, vblr_class in ( - ("jump_levels", ZillionJumpLevels), - ("gun_levels", ZillionGunLevels) - ): - for value in vblr_class.name_lookup.values(): - self.options = {option_name: value} - self.world_setup() - options = self.multiworld.worlds[1].options - assert isinstance(options, ZillionOptions) - zz_options, _item_counts = validate(options) - assert getattr(zz_options, option_name) in VBLR_CHOICES - - # TODO: test validate with invalid combinations of options diff --git a/worlds/zillion/test/TestReproducibleRandom.py b/worlds/zillion/test/TestReproducibleRandom.py deleted file mode 100644 index 392db657d90a..000000000000 --- a/worlds/zillion/test/TestReproducibleRandom.py +++ /dev/null @@ -1,29 +0,0 @@ -from typing import cast -from . import ZillionTestBase - -from worlds.zillion import ZillionWorld - - -class SeedTest(ZillionTestBase): - auto_construct = False - - def test_reproduce_seed(self) -> None: - self.world_setup(42) - z_world = cast(ZillionWorld, self.multiworld.worlds[1]) - r = z_world.zz_system.randomizer - assert r - randomized_requirements_first = tuple( - location.req.gun - for location in r.locations.values() - ) - - self.world_setup(42) - z_world = cast(ZillionWorld, self.multiworld.worlds[1]) - r = z_world.zz_system.randomizer - assert r - randomized_requirements_second = tuple( - location.req.gun - for location in r.locations.values() - ) - - assert randomized_requirements_first == randomized_requirements_second diff --git a/worlds/zillion/test/__init__.py b/worlds/zillion/test/__init__.py deleted file mode 100644 index 93c0512fb045..000000000000 --- a/worlds/zillion/test/__init__.py +++ /dev/null @@ -1,20 +0,0 @@ -from typing import cast -from test.bases import WorldTestBase -from worlds.zillion import ZillionWorld - - -class ZillionTestBase(WorldTestBase): - game = "Zillion" - - def ensure_gun_3_requirement(self) -> None: - """ - There's a low probability that gun 3 is not required. - - This makes sure that gun 3 is required by making all the canisters - in O-7 (including key word canisters) require gun 3. - """ - zz_world = cast(ZillionWorld, self.multiworld.worlds[1]) - assert zz_world.zz_system.randomizer - for zz_loc_name, zz_loc in zz_world.zz_system.randomizer.locations.items(): - if zz_loc_name.startswith("r15c6"): - zz_loc.req.gun = 3 From 4903fb8d49aa3561a7025ee19083c5240dde9b00 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 20:07:14 +0200 Subject: [PATCH 004/127] Update .gitignore --- .gitignore | 3 +++ 1 file changed, 3 insertions(+) diff --git a/.gitignore b/.gitignore index 54dd4a262daf..13d62dce0262 100644 --- a/.gitignore +++ b/.gitignore @@ -198,6 +198,7 @@ minecraft_versions.json .LSOverride Thumbs.db [Dd]esktop.ini +<<<<<<< HEAD /worlds/zillion /worlds/zillion worlds/zillion/__init__.py @@ -221,3 +222,5 @@ worlds/zillion/test/__init__.py worlds/zillion/test/TestGoal.py worlds/zillion/test/TestOptions.py worlds/zillion/test/TestReproducibleRandom.py +======= +>>>>>>> parent of 10ea81dc (Update .gitignore) From c94f231bf2b8bc3a3da9013cdd238f928382e204 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 20:07:43 +0200 Subject: [PATCH 005/127] added zillion again... --- .gitignore | 3 + worlds/zillion/__init__.py | 441 +++++++++++++++ worlds/zillion/client.py | 513 ++++++++++++++++++ worlds/zillion/config.py | 1 + worlds/zillion/docs/en_Zillion.md | 82 +++ worlds/zillion/docs/setup_en.md | 107 ++++ .../empty-zillion-map-row-col-labels-281.png | Bin 0 -> 29903 bytes worlds/zillion/gen_data.py | 35 ++ worlds/zillion/id_maps.py | 158 ++++++ worlds/zillion/item.py | 12 + worlds/zillion/logic.py | 81 +++ worlds/zillion/options.py | 399 ++++++++++++++ worlds/zillion/patch.py | 83 +++ worlds/zillion/py.typed | 0 worlds/zillion/region.py | 48 ++ worlds/zillion/requirements.txt | 2 + worlds/zillion/test/TestGoal.py | 149 +++++ worlds/zillion/test/TestOptions.py | 30 + worlds/zillion/test/TestReproducibleRandom.py | 29 + worlds/zillion/test/__init__.py | 20 + 20 files changed, 2193 insertions(+) create mode 100644 worlds/zillion/__init__.py create mode 100644 worlds/zillion/client.py create mode 100644 worlds/zillion/config.py create mode 100644 worlds/zillion/docs/en_Zillion.md create mode 100644 worlds/zillion/docs/setup_en.md create mode 100644 worlds/zillion/empty-zillion-map-row-col-labels-281.png create mode 100644 worlds/zillion/gen_data.py create mode 100644 worlds/zillion/id_maps.py create mode 100644 worlds/zillion/item.py create mode 100644 worlds/zillion/logic.py create mode 100644 worlds/zillion/options.py create mode 100644 worlds/zillion/patch.py create mode 100644 worlds/zillion/py.typed create mode 100644 worlds/zillion/region.py create mode 100644 worlds/zillion/requirements.txt create mode 100644 worlds/zillion/test/TestGoal.py create mode 100644 worlds/zillion/test/TestOptions.py create mode 100644 worlds/zillion/test/TestReproducibleRandom.py create mode 100644 worlds/zillion/test/__init__.py diff --git a/.gitignore b/.gitignore index 13d62dce0262..44eb2b1fbd3d 100644 --- a/.gitignore +++ b/.gitignore @@ -201,6 +201,7 @@ Thumbs.db <<<<<<< HEAD /worlds/zillion /worlds/zillion +<<<<<<< HEAD worlds/zillion/__init__.py worlds/zillion/__init__.py worlds/zillion/__init__.py @@ -224,3 +225,5 @@ worlds/zillion/test/TestOptions.py worlds/zillion/test/TestReproducibleRandom.py ======= >>>>>>> parent of 10ea81dc (Update .gitignore) +======= +>>>>>>> parent of fe196db0 (Removed zillion because it doesn't work) diff --git a/worlds/zillion/__init__.py b/worlds/zillion/__init__.py new file mode 100644 index 000000000000..cce120d7e3f4 --- /dev/null +++ b/worlds/zillion/__init__.py @@ -0,0 +1,441 @@ +from collections import deque, Counter +from contextlib import redirect_stdout +import functools +import settings +import threading +import typing +from typing import Any, Dict, List, Set, Tuple, Optional +import os +import logging + +from BaseClasses import ItemClassification, LocationProgressType, \ + MultiWorld, Item, CollectionState, Entrance, Tutorial + +from .gen_data import GenData +from .logic import cs_to_zz_locs +from .region import ZillionLocation, ZillionRegion +from .options import ZillionOptions, validate, z_option_groups +from .id_maps import ZillionSlotInfo, get_slot_info, item_name_to_id as _item_name_to_id, \ + loc_name_to_id as _loc_name_to_id, make_id_to_others, \ + zz_reg_name_to_reg_name, base_id +from .item import ZillionItem +from .patch import ZillionPatch + +from zilliandomizer.randomizer import Randomizer as ZzRandomizer +from zilliandomizer.system import System +from zilliandomizer.logic_components.items import RESCUE, items as zz_items, Item as ZzItem +from zilliandomizer.logic_components.locations import Location as ZzLocation, Req +from zilliandomizer.options import Chars + +from worlds.AutoWorld import World, WebWorld + + +class ZillionSettings(settings.Group): + class RomFile(settings.UserFilePath): + """File name of the Zillion US rom""" + description = "Zillion US ROM File" + copy_to = "Zillion (UE) [!].sms" + assert ZillionPatch.hash + md5s = [ZillionPatch.hash] + + class RomStart(str): + """ + Set this to false to never autostart a rom (such as after patching) + True for operating system default program + Alternatively, a path to a program to open the .sfc file with + RetroArch doesn't make it easy to launch a game from the command line. + You have to know the path to the emulator core library on the user's computer. + """ + + rom_file: RomFile = RomFile(RomFile.copy_to) + rom_start: typing.Union[RomStart, bool] = RomStart("retroarch") + + +class ZillionWebWorld(WebWorld): + theme = "stone" + tutorials = [Tutorial( + "Multiworld Setup Guide", + "A guide to playing Zillion randomizer.", + "English", + "setup_en.md", + "setup/en", + ["beauxq"] + )] + + option_groups = z_option_groups + + +class ZillionWorld(World): + """ + Zillion is a metroidvania style game released in 1987 for the 8-bit Sega Master System. + + It's based on the anime Zillion (赤い光弾ジリオン, Akai Koudan Zillion). + """ + game = "Zillion" + web = ZillionWebWorld() + + options_dataclass = ZillionOptions + options: ZillionOptions # type: ignore + + settings: typing.ClassVar[ZillionSettings] # type: ignore + # these type: ignore are because of this issue: https://github.com/python/typing/discussions/1486 + + topology_present = True # indicate if world type has any meaningful layout/pathing + + # map names to their IDs + item_name_to_id = _item_name_to_id + location_name_to_id = _loc_name_to_id + + # increment this every time something in your world's names/id mappings changes. + # While this is set to 0 in *any* AutoWorld, the entire DataPackage is considered in testing mode and will be + # retrieved by clients on every connection. + data_version = 1 + + logger: logging.Logger + + class LogStreamInterface: + logger: logging.Logger + buffer: List[str] + + def __init__(self, logger: logging.Logger) -> None: + self.logger = logger + self.buffer = [] + + def write(self, msg: str) -> None: + if msg.endswith('\n'): + self.buffer.append(msg[:-1]) + self.logger.debug("".join(self.buffer)) + self.buffer = [] + else: + self.buffer.append(msg) + + def flush(self) -> None: + pass + + lsi: LogStreamInterface + + id_to_zz_item: Optional[Dict[int, ZzItem]] = None + zz_system: System + _item_counts: "Counter[str]" = Counter() + """ + These are the items counts that will be in the game, + which might be different from the item counts the player asked for in options + (if the player asked for something invalid). + """ + my_locations: List[ZillionLocation] = [] + """ This is kind of a cache to avoid iterating through all the multiworld locations in logic. """ + slot_data_ready: threading.Event + """ This event is set in `generate_output` when the data is ready for `fill_slot_data` """ + + def __init__(self, world: MultiWorld, player: int): + super().__init__(world, player) + self.logger = logging.getLogger("Zillion") + self.lsi = ZillionWorld.LogStreamInterface(self.logger) + self.zz_system = System() + self.slot_data_ready = threading.Event() + + def _make_item_maps(self, start_char: Chars) -> None: + _id_to_name, _id_to_zz_id, id_to_zz_item = make_id_to_others(start_char) + self.id_to_zz_item = id_to_zz_item + + def generate_early(self) -> None: + if not hasattr(self.multiworld, "zillion_logic_cache"): + setattr(self.multiworld, "zillion_logic_cache", {}) + + zz_op, item_counts = validate(self.options) + + if zz_op.early_scope: + self.multiworld.early_items[self.player]["Scope"] = 1 + + self._item_counts = item_counts + + with redirect_stdout(self.lsi): # type: ignore + self.zz_system.make_randomizer(zz_op) + + self.zz_system.seed(self.multiworld.seed) + self.zz_system.make_map() + + # just in case the options changed anything (I don't think they do) + assert self.zz_system.randomizer, "init failed" + for zz_name in self.zz_system.randomizer.locations: + if zz_name != 'main': + assert self.zz_system.randomizer.loc_name_2_pretty[zz_name] in self.location_name_to_id, \ + f"{self.zz_system.randomizer.loc_name_2_pretty[zz_name]} not in location map" + + self._make_item_maps(zz_op.start_char) + + def create_regions(self) -> None: + assert self.zz_system.randomizer, "generate_early hasn't been called" + assert self.id_to_zz_item, "generate_early hasn't been called" + p = self.player + w = self.multiworld + self.my_locations = [] + + self.zz_system.randomizer.place_canister_gun_reqs() + # low probability that place_canister_gun_reqs() results in empty 1st sphere + # testing code to force low probability event: + # for zz_room_name in ["r01c2", "r02c0", "r02c7", "r03c5"]: + # for zz_loc in self.zz_system.randomizer.regions[zz_room_name].locations: + # zz_loc.req.gun = 2 + if len(self.zz_system.randomizer.get_locations(Req(gun=1, jump=1))) == 0: + self.logger.info("Zillion avoided rare empty 1st sphere.") + for zz_loc in self.zz_system.randomizer.regions["r03c5"].locations: + zz_loc.req.gun = 1 + assert len(self.zz_system.randomizer.get_locations(Req(gun=1, jump=1))) != 0 + + start = self.zz_system.randomizer.regions['start'] + + all: Dict[str, ZillionRegion] = {} + for here_zz_name, zz_r in self.zz_system.randomizer.regions.items(): + here_name = "Menu" if here_zz_name == "start" else zz_reg_name_to_reg_name(here_zz_name) + all[here_name] = ZillionRegion(zz_r, here_name, here_name, p, w) + self.multiworld.regions.append(all[here_name]) + + limited_skill = Req(gun=3, jump=3, skill=self.zz_system.randomizer.options.skill, hp=940, red=1, floppy=126) + queue = deque([start]) + done: Set[str] = set() + while len(queue): + zz_here = queue.popleft() + here_name = "Menu" if zz_here.name == "start" else zz_reg_name_to_reg_name(zz_here.name) + if here_name in done: + continue + here = all[here_name] + + for zz_loc in zz_here.locations: + # if local gun reqs didn't place "keyword" item + if not zz_loc.item: + + def access_rule_wrapped(zz_loc_local: ZzLocation, + p: int, + zz_r: ZzRandomizer, + id_to_zz_item: Dict[int, ZzItem], + cs: CollectionState) -> bool: + accessible = cs_to_zz_locs(cs, p, zz_r, id_to_zz_item) + return zz_loc_local in accessible + + access_rule = functools.partial(access_rule_wrapped, + zz_loc, self.player, self.zz_system.randomizer, self.id_to_zz_item) + + loc_name = self.zz_system.randomizer.loc_name_2_pretty[zz_loc.name] + loc = ZillionLocation(zz_loc, self.player, loc_name, here) + loc.access_rule = access_rule + if not (limited_skill >= zz_loc.req): + loc.progress_type = LocationProgressType.EXCLUDED + self.options.exclude_locations.value.add(loc.name) + here.locations.append(loc) + self.my_locations.append(loc) + + for zz_dest in zz_here.connections.keys(): + dest_name = "Menu" if zz_dest.name == 'start' else zz_reg_name_to_reg_name(zz_dest.name) + dest = all[dest_name] + exit = Entrance(p, f"{here_name} to {dest_name}", here) + here.exits.append(exit) + exit.connect(dest) + + queue.append(zz_dest) + done.add(here.name) + + def create_items(self) -> None: + if not self.id_to_zz_item: + self._make_item_maps("JJ") + self.logger.warning("warning: called `create_items` without calling `generate_early` first") + assert self.id_to_zz_item, "failed to get item maps" + + # in zilliandomizer, the Randomizer class puts empties in the item pool to fill space, + # but here in AP, empties are in the options from options.validate + item_counts = self._item_counts + self.logger.debug(item_counts) + + for item_name, item_id in self.item_name_to_id.items(): + zz_item = self.id_to_zz_item[item_id] + if item_id >= (4 + base_id): # normal item + if item_name in item_counts: + count = item_counts[item_name] + self.logger.debug(f"Zillion Items: {item_name} {count}") + self.multiworld.itempool += [self.create_item(item_name) for _ in range(count)] + elif item_id < (3 + base_id) and zz_item.code == RESCUE: + # One of the 3 rescues will not be in the pool and its zz_item will be 'empty'. + self.logger.debug(f"Zillion Items: {item_name} 1") + self.multiworld.itempool.append(self.create_item(item_name)) + + def set_rules(self) -> None: + # logic for this game is in create_regions + pass + + def generate_basic(self) -> None: + assert self.zz_system.randomizer, "generate_early hasn't been called" + # main location name is an alias + main_loc_name = self.zz_system.randomizer.loc_name_2_pretty[self.zz_system.randomizer.locations['main'].name] + + self.multiworld.get_location(main_loc_name, self.player)\ + .place_locked_item(self.create_item("Win")) + self.multiworld.completion_condition[self.player] = \ + lambda state: state.has("Win", self.player) + + @staticmethod + def stage_generate_basic(multiworld: MultiWorld, *args: Any) -> None: + # item link pools are about to be created in main + # JJ can't be an item link unless all the players share the same start_char + # (The reason for this is that the JJ ZillionItem will have a different ZzItem depending + # on whether the start char is Apple or Champ, and the logic depends on that ZzItem.) + for group in multiworld.groups.values(): + # TODO: remove asserts on group when we can specify which members of TypedDict are optional + assert "game" in group + if group["game"] == "Zillion": + assert "item_pool" in group + item_pool = group["item_pool"] + to_stay: Chars = "JJ" + if "JJ" in item_pool: + assert "players" in group + group_players = group["players"] + players_start_chars: List[Tuple[int, Chars]] = [] + for player in group_players: + z_world = multiworld.worlds[player] + assert isinstance(z_world, ZillionWorld) + players_start_chars.append((player, z_world.options.start_char.get_char())) + start_char_counts = Counter(sc for _, sc in players_start_chars) + # majority rules + if start_char_counts["Apple"] > start_char_counts["Champ"]: + to_stay = "Apple" + elif start_char_counts["Champ"] > start_char_counts["Apple"]: + to_stay = "Champ" + else: # equal + choices: Tuple[Chars, ...] = ("Apple", "Champ") + to_stay = multiworld.random.choice(choices) + + for p, sc in players_start_chars: + if sc != to_stay: + group_players.remove(p) + assert "world" in group + group_world = group["world"] + assert isinstance(group_world, ZillionWorld) + group_world._make_item_maps(to_stay) + + def post_fill(self) -> None: + """Optional Method that is called after regular fill. Can be used to do adjustments before output generation. + This happens before progression balancing, so the items may not be in their final locations yet.""" + + self.zz_system.post_fill() + + def finalize_item_locations(self) -> GenData: + """ + sync zilliandomizer item locations with AP item locations + + return the data needed to generate output + """ + + assert self.zz_system.randomizer, "generate_early hasn't been called" + + # debug_zz_loc_ids: Dict[str, int] = {} + empty = zz_items[4] + multi_item = empty # a different patcher method differentiates empty from ap multi item + multi_items: Dict[str, Tuple[str, str]] = {} # zz_loc_name to (item_name, player_name) + for z_loc in self.multiworld.get_locations(self.player): + assert isinstance(z_loc, ZillionLocation) + # debug_zz_loc_ids[z_loc.zz_loc.name] = id(z_loc.zz_loc) + if z_loc.item is None: + self.logger.warning("generate_output location has no item - is that ok?") + z_loc.zz_loc.item = empty + elif z_loc.item.player == self.player: + z_item = z_loc.item + assert isinstance(z_item, ZillionItem) + z_loc.zz_loc.item = z_item.zz_item + else: # another player's item + # print(f"put multi item in {z_loc.zz_loc.name}") + z_loc.zz_loc.item = multi_item + multi_items[z_loc.zz_loc.name] = ( + z_loc.item.name, + self.multiworld.get_player_name(z_loc.item.player) + ) + # debug_zz_loc_ids.sort() + # for name, id_ in debug_zz_loc_ids.items(): + # print(id_) + # print("size:", len(debug_zz_loc_ids)) + + # debug_loc_to_id: Dict[str, int] = {} + # regions = self.zz_randomizer.regions + # for region in regions.values(): + # for loc in region.locations: + # if loc.name not in self.zz_randomizer.locations: + # print(f"region {region.name} had location {loc.name} not in locations") + # debug_loc_to_id[loc.name] = id(loc) + + # verify that every location got an item + for zz_loc in self.zz_system.randomizer.locations.values(): + assert zz_loc.item, ( + f"location {self.zz_system.randomizer.loc_name_2_pretty[zz_loc.name]} " + f"in world {self.player} didn't get an item" + ) + + game_id = self.multiworld.player_name[self.player].encode() + b'\x00' + self.multiworld.seed_name[-6:].encode() + + return GenData(multi_items, self.zz_system.get_game(), game_id) + + def generate_output(self, output_directory: str) -> None: + """This method gets called from a threadpool, do not use multiworld.random here. + If you need any last-second randomization, use self.random instead.""" + try: + gen_data = self.finalize_item_locations() + except BaseException: + raise + finally: + self.slot_data_ready.set() + + out_file_base = self.multiworld.get_out_file_name_base(self.player) + + patch_file_name = os.path.join(output_directory, f"{out_file_base}{ZillionPatch.patch_file_ending}") + patch = ZillionPatch(patch_file_name, + player=self.player, + player_name=self.multiworld.player_name[self.player], + gen_data_str=gen_data.to_json()) + patch.write() + + self.logger.debug(f"Zillion player {self.player} finished generate_output") + + def fill_slot_data(self) -> ZillionSlotInfo: # json of WebHostLib.models.Slot + """Fill in the `slot_data` field in the `Connected` network package. + This is a way the generator can give custom data to the client. + The client will receive this as JSON in the `Connected` response.""" + + # TODO: share a TypedDict data structure with client + + # TODO: tell client which canisters are keywords + # so it can open and get those when restoring doors + + self.slot_data_ready.wait() + assert self.zz_system.randomizer, "didn't get randomizer from generate_early" + game = self.zz_system.get_game() + return get_slot_info(game.regions, game.char_order[0], game.loc_name_2_pretty) + + # def modify_multidata(self, multidata: Dict[str, Any]) -> None: + # """For deeper modification of server multidata.""" + # # not modifying multidata, just want to call this at the end of the generation process + # cache = getattr(self.multiworld, "zillion_logic_cache") + # import sys + # print(sys.getsizeof(cache)) + + # end of ordered Main.py calls + + def create_item(self, name: str) -> Item: + """Create an item for this world type and player. + Warning: this may be called with self.multiworld = None, for example by MultiServer""" + item_id = _item_name_to_id[name] + + if not self.id_to_zz_item: + self._make_item_maps("JJ") + self.logger.warning("warning: called `create_item` without calling `generate_early` first") + assert self.id_to_zz_item, "failed to get item maps" + + classification = ItemClassification.filler + zz_item = self.id_to_zz_item[item_id] + if zz_item.required: + classification = ItemClassification.progression + if not zz_item.is_progression: + classification = ItemClassification.progression_skip_balancing + + z_item = ZillionItem(name, classification, item_id, self.player, zz_item) + return z_item + + def get_filler_item_name(self) -> str: + """Called when the item pool needs to be filled with additional items to match location count.""" + return "Empty" diff --git a/worlds/zillion/client.py b/worlds/zillion/client.py new file mode 100644 index 000000000000..be32028463c7 --- /dev/null +++ b/worlds/zillion/client.py @@ -0,0 +1,513 @@ +import asyncio +import base64 +import io +import pkgutil +import platform +from typing import Any, ClassVar, Coroutine, Dict, List, Optional, Protocol, Tuple, cast + +from CommonClient import CommonContext, server_loop, gui_enabled, \ + ClientCommandProcessor, logger, get_base_parser +from NetUtils import ClientStatus +from Utils import async_start + +import colorama + +from zilliandomizer.zri.memory import Memory, RescueInfo +from zilliandomizer.zri import events +from zilliandomizer.utils.loc_name_maps import id_to_loc +from zilliandomizer.options import Chars + +from .id_maps import loc_name_to_id, make_id_to_others +from .config import base_id + + +class ZillionCommandProcessor(ClientCommandProcessor): + ctx: "ZillionContext" + + def _cmd_sms(self) -> None: + """ Tell the client that Zillion is running in RetroArch. """ + logger.info("ready to look for game") + self.ctx.look_for_retroarch.set() + + def _cmd_map(self) -> None: + """ Toggle view of the map tracker. """ + self.ctx.ui_toggle_map() + + +class ToggleCallback(Protocol): + def __call__(self) -> None: ... + + +class SetRoomCallback(Protocol): + def __call__(self, rooms: List[List[int]]) -> None: ... + + +class ZillionContext(CommonContext): + game = "Zillion" + command_processor = ZillionCommandProcessor + items_handling = 1 # receive items from other players + + known_name: Optional[str] + """ This is almost the same as `auth` except `auth` is reset to `None` when server disconnects, and this isn't. """ + + from_game: "asyncio.Queue[events.EventFromGame]" + to_game: "asyncio.Queue[events.EventToGame]" + ap_local_count: int + """ local checks watched by server """ + next_item: int + """ index in `items_received` """ + ap_id_to_name: Dict[int, str] + ap_id_to_zz_id: Dict[int, int] + start_char: Chars = "JJ" + rescues: Dict[int, RescueInfo] = {} + loc_mem_to_id: Dict[int, int] = {} + got_room_info: asyncio.Event + """ flag for connected to server """ + got_slot_data: asyncio.Event + """ serves as a flag for whether I am logged in to the server """ + + look_for_retroarch: asyncio.Event + """ + There is a bug in Python in Windows + https://github.com/python/cpython/issues/91227 + that makes it so if I look for RetroArch before it's ready, + it breaks the asyncio udp transport system. + + As a workaround, we don't look for RetroArch until this event is set. + """ + + ui_toggle_map: ToggleCallback + ui_set_rooms: SetRoomCallback + """ parameter is y 16 x 8 numbers to show in each room """ + + def __init__(self, + server_address: str, + password: str) -> None: + super().__init__(server_address, password) + self.known_name = None + self.from_game = asyncio.Queue() + self.to_game = asyncio.Queue() + self.got_room_info = asyncio.Event() + self.got_slot_data = asyncio.Event() + self.ui_toggle_map = lambda: None + self.ui_set_rooms = lambda rooms: None + + self.look_for_retroarch = asyncio.Event() + if platform.system() != "Windows": + # asyncio udp bug is only on Windows + self.look_for_retroarch.set() + + self.reset_game_state() + + def reset_game_state(self) -> None: + for _ in range(self.from_game.qsize()): + self.from_game.get_nowait() + for _ in range(self.to_game.qsize()): + self.to_game.get_nowait() + self.got_slot_data.clear() + + self.ap_local_count = 0 + self.next_item = 0 + self.ap_id_to_name = {} + self.ap_id_to_zz_id = {} + self.rescues = {} + self.loc_mem_to_id = {} + + self.locations_checked.clear() + self.missing_locations.clear() + self.checked_locations.clear() + self.finished_game = False + self.items_received.clear() + + # override + def on_deathlink(self, data: Dict[str, Any]) -> None: + self.to_game.put_nowait(events.DeathEventToGame()) + return super().on_deathlink(data) + + # override + async def server_auth(self, password_requested: bool = False) -> None: + if password_requested and not self.password: + await super().server_auth(password_requested) + if not self.auth: + logger.info('waiting for connection to game...') + return + logger.info("logging in to server...") + await self.send_connect() + + # override + def run_gui(self) -> None: + from kvui import GameManager + from kivy.core.text import Label as CoreLabel + from kivy.graphics import Ellipse, Color, Rectangle + from kivy.graphics.texture import Texture + from kivy.uix.layout import Layout + from kivy.uix.image import CoreImage + from kivy.uix.widget import Widget + + class ZillionManager(GameManager): + logging_pairs = [ + ("Client", "Archipelago") + ] + base_title = "Archipelago Zillion Client" + + class MapPanel(Widget): + MAP_WIDTH: ClassVar[int] = 281 + + map_background: CoreImage + _number_textures: List[Texture] = [] + rooms: List[List[int]] = [] + + def __init__(self, **kwargs: Any) -> None: + super().__init__(**kwargs) + + FILE_NAME = "empty-zillion-map-row-col-labels-281.png" + image_file_data = pkgutil.get_data(__name__, FILE_NAME) + if not image_file_data: + raise FileNotFoundError(f"{__name__=} {FILE_NAME=}") + data = io.BytesIO(image_file_data) + self.map_background = CoreImage(data, ext="png") + assert self.map_background.texture.size[0] == ZillionManager.MapPanel.MAP_WIDTH + + self.rooms = [[0 for _ in range(8)] for _ in range(16)] + + self._make_numbers() + self.update_map() + + self.bind(pos=self.update_map) + # self.bind(size=self.update_bg) + + def _make_numbers(self) -> None: + self._number_textures = [] + for n in range(10): + label = CoreLabel(text=str(n), font_size=22, color=(0.1, 0.9, 0, 1)) + label.refresh() + self._number_textures.append(label.texture) + + def update_map(self, *args: Any) -> None: + self.canvas.clear() + + with self.canvas: + Color(1, 1, 1, 1) + Rectangle(texture=self.map_background.texture, + pos=self.pos, + size=self.map_background.texture.size) + for y in range(16): + for x in range(8): + num = self.rooms[15 - y][x] + if num > 0: + Color(0, 0, 0, 0.4) + pos = [self.pos[0] + 17 + x * 32, self.pos[1] + 14 + y * 24] + Ellipse(size=[22, 22], pos=pos) + Color(1, 1, 1, 1) + pos = [self.pos[0] + 22 + x * 32, self.pos[1] + 12 + y * 24] + num_texture = self._number_textures[num] + Rectangle(texture=num_texture, size=num_texture.size, pos=pos) + + def build(self) -> Layout: + container = super().build() + self.map_widget = ZillionManager.MapPanel(size_hint_x=None, width=ZillionManager.MapPanel.MAP_WIDTH) + self.main_area_container.add_widget(self.map_widget) + return container + + def toggle_map_width(self) -> None: + if self.map_widget.width == 0: + self.map_widget.width = ZillionManager.MapPanel.MAP_WIDTH + else: + self.map_widget.width = 0 + self.container.do_layout() + + def set_rooms(self, rooms: List[List[int]]) -> None: + self.map_widget.rooms = rooms + self.map_widget.update_map() + + self.ui = ZillionManager(self) + self.ui_toggle_map = lambda: self.ui.toggle_map_width() + self.ui_set_rooms = lambda rooms: self.ui.set_rooms(rooms) + run_co: Coroutine[Any, Any, None] = self.ui.async_run() + self.ui_task = asyncio.create_task(run_co, name="UI") + + def on_package(self, cmd: str, args: Dict[str, Any]) -> None: + self.room_item_numbers_to_ui() + if cmd == "Connected": + logger.info("logged in to Archipelago server") + if "slot_data" not in args: + logger.warning("`Connected` packet missing `slot_data`") + return + slot_data = args["slot_data"] + + if "start_char" not in slot_data: + logger.warning("invalid Zillion `Connected` packet, `slot_data` missing `start_char`") + return + self.start_char = slot_data['start_char'] + if self.start_char not in {"Apple", "Champ", "JJ"}: + logger.warning("invalid Zillion `Connected` packet, " + f"`slot_data` `start_char` has invalid value: {self.start_char}") + + if "rescues" not in slot_data: + logger.warning("invalid Zillion `Connected` packet, `slot_data` missing `rescues`") + return + rescues = slot_data["rescues"] + self.rescues = {} + for rescue_id, json_info in rescues.items(): + assert rescue_id in ("0", "1"), f"invalid rescue_id in Zillion slot_data: {rescue_id}" + # TODO: just take start_char out of the RescueInfo so there's no opportunity for a mismatch? + assert json_info["start_char"] == self.start_char, \ + f'mismatch in Zillion slot data: {json_info["start_char"]} {self.start_char}' + ri = RescueInfo(json_info["start_char"], + json_info["room_code"], + json_info["mask"]) + self.rescues[0 if rescue_id == "0" else 1] = ri + + if "loc_mem_to_id" not in slot_data: + logger.warn("invalid Zillion `Connected` packet, `slot_data` missing `loc_mem_to_id`") + return + loc_mem_to_id = slot_data["loc_mem_to_id"] + self.loc_mem_to_id = {} + for mem_str, id_str in loc_mem_to_id.items(): + mem = int(mem_str) + id_ = int(id_str) + room_i = mem // 256 + assert 0 <= room_i < 74 + assert id_ in id_to_loc + self.loc_mem_to_id[mem] = id_ + + if len(self.loc_mem_to_id) != 394: + logger.warning("invalid Zillion `Connected` packet, " + f"`slot_data` missing locations in `loc_mem_to_id` - len {len(self.loc_mem_to_id)}") + + self.got_slot_data.set() + + payload = { + "cmd": "Get", + "keys": [f"zillion-{self.auth}-doors"] + } + async_start(self.send_msgs([payload])) + elif cmd == "Retrieved": + if "keys" not in args: + logger.warning(f"invalid Retrieved packet to ZillionClient: {args}") + return + keys = cast(Dict[str, Optional[str]], args["keys"]) + doors_b64 = keys.get(f"zillion-{self.auth}-doors", None) + if doors_b64: + logger.info("received door data from server") + doors = base64.b64decode(doors_b64) + self.to_game.put_nowait(events.DoorEventToGame(doors)) + elif cmd == "RoomInfo": + self.seed_name = args["seed_name"] + self.got_room_info.set() + + def room_item_numbers_to_ui(self) -> None: + rooms = [[0 for _ in range(8)] for _ in range(16)] + for loc_id in self.missing_locations: + loc_id_small = loc_id - base_id + loc_name = id_to_loc[loc_id_small] + y = ord(loc_name[0]) - 65 + x = ord(loc_name[2]) - 49 + if y == 9 and x == 5: + # don't show main computer in numbers + continue + assert (0 <= y < 16) and (0 <= x < 8), f"invalid index from location name {loc_name}" + rooms[y][x] += 1 + # TODO: also add locations with locals lost from loading save state or reset + self.ui_set_rooms(rooms) + + def process_from_game_queue(self) -> None: + if self.from_game.qsize(): + event_from_game = self.from_game.get_nowait() + if isinstance(event_from_game, events.AcquireLocationEventFromGame): + server_id = event_from_game.id + base_id + loc_name = id_to_loc[event_from_game.id] + self.locations_checked.add(server_id) + if server_id in self.missing_locations: + self.ap_local_count += 1 + n_locations = len(self.missing_locations) + len(self.checked_locations) - 1 # -1 to ignore win + logger.info(f'New Check: {loc_name} ({self.ap_local_count}/{n_locations})') + async_start(self.send_msgs([ + {"cmd": 'LocationChecks', "locations": [server_id]} + ])) + else: + # This will happen a lot in Zillion, + # because all the key words are local and unwatched by the server. + logger.debug(f"DEBUG: {loc_name} not in missing") + elif isinstance(event_from_game, events.DeathEventFromGame): + async_start(self.send_death()) + elif isinstance(event_from_game, events.WinEventFromGame): + if not self.finished_game: + async_start(self.send_msgs([ + {"cmd": 'LocationChecks', "locations": [loc_name_to_id["J-6 bottom far left"]]}, + {"cmd": "StatusUpdate", "status": ClientStatus.CLIENT_GOAL} + ])) + self.finished_game = True + elif isinstance(event_from_game, events.DoorEventFromGame): + if self.auth: + doors_b64 = base64.b64encode(event_from_game.doors).decode() + payload = { + "cmd": "Set", + "key": f"zillion-{self.auth}-doors", + "operations": [{"operation": "replace", "value": doors_b64}] + } + async_start(self.send_msgs([payload])) + else: + logger.warning(f"WARNING: unhandled event from game {event_from_game}") + + def process_items_received(self) -> None: + if len(self.items_received) > self.next_item: + zz_item_ids = [self.ap_id_to_zz_id[item.item] for item in self.items_received] + for index in range(self.next_item, len(self.items_received)): + ap_id = self.items_received[index].item + from_name = self.player_names[self.items_received[index].player] + # TODO: colors in this text, like sni client? + logger.info(f'received {self.ap_id_to_name[ap_id]} from {from_name}') + self.to_game.put_nowait( + events.ItemEventToGame(zz_item_ids) + ) + self.next_item = len(self.items_received) + + +def name_seed_from_ram(data: bytes) -> Tuple[str, str]: + """ returns player name, and end of seed string """ + if len(data) == 0: + # no connection to game + return "", "xxx" + null_index = data.find(b'\x00') + if null_index == -1: + logger.warning(f"invalid game id in rom {repr(data)}") + null_index = len(data) + name = data[:null_index].decode() + null_index_2 = data.find(b'\x00', null_index + 1) + if null_index_2 == -1: + null_index_2 = len(data) + seed_name = data[null_index + 1:null_index_2].decode() + + return name, seed_name + + +async def zillion_sync_task(ctx: ZillionContext) -> None: + logger.info("started zillion sync task") + + # to work around the Python bug where we can't check for RetroArch + if not ctx.look_for_retroarch.is_set(): + logger.info("Start Zillion in RetroArch, then use the /sms command to connect to it.") + await asyncio.wait(( + asyncio.create_task(ctx.look_for_retroarch.wait()), + asyncio.create_task(ctx.exit_event.wait()) + ), return_when=asyncio.FIRST_COMPLETED) + + last_log = "" + + def log_no_spam(msg: str) -> None: + nonlocal last_log + if msg != last_log: + last_log = msg + logger.info(msg) + + # to only show this message once per client run + help_message_shown = False + + with Memory(ctx.from_game, ctx.to_game) as memory: + while not ctx.exit_event.is_set(): + ram = await memory.read() + game_id = memory.get_rom_to_ram_data(ram) + name, seed_end = name_seed_from_ram(game_id) + if len(name): + if name == ctx.known_name: + ctx.auth = name + # this is the name we know + if ctx.server and ctx.server.socket: # type: ignore + if ctx.got_room_info.is_set(): + if ctx.seed_name and ctx.seed_name.endswith(seed_end): + # correct seed + if memory.have_generation_info(): + log_no_spam("everything connected") + await memory.process_ram(ram) + ctx.process_from_game_queue() + ctx.process_items_received() + else: # no generation info + if ctx.got_slot_data.is_set(): + memory.set_generation_info(ctx.rescues, ctx.loc_mem_to_id) + ctx.ap_id_to_name, ctx.ap_id_to_zz_id, _ap_id_to_zz_item = \ + make_id_to_others(ctx.start_char) + ctx.next_item = 0 + ctx.ap_local_count = len(ctx.checked_locations) + else: # no slot data yet + async_start(ctx.send_connect()) + log_no_spam("logging in to server...") + await asyncio.wait(( + asyncio.create_task(ctx.got_slot_data.wait()), + asyncio.create_task(ctx.exit_event.wait()), + asyncio.create_task(asyncio.sleep(6)) + ), return_when=asyncio.FIRST_COMPLETED) # to not spam connect packets + else: # not correct seed name + log_no_spam("incorrect seed - did you mix up roms?") + else: # no room info + # If we get here, it looks like `RoomInfo` packet got lost + log_no_spam("waiting for room info from server...") + else: # server not connected + log_no_spam("waiting for server connection...") + else: # new game + log_no_spam("connected to new game") + await ctx.disconnect() + ctx.reset_server_state() + ctx.seed_name = None + ctx.got_room_info.clear() + ctx.reset_game_state() + memory.reset_game_state() + + ctx.auth = name + ctx.known_name = name + async_start(ctx.connect()) + await asyncio.wait(( + asyncio.create_task(ctx.got_room_info.wait()), + asyncio.create_task(ctx.exit_event.wait()), + asyncio.create_task(asyncio.sleep(6)) + ), return_when=asyncio.FIRST_COMPLETED) + else: # no name found in game + if not help_message_shown: + logger.info('In RetroArch, make sure "Settings > Network > Network Commands" is on.') + help_message_shown = True + log_no_spam("looking for connection to game...") + await asyncio.sleep(0.3) + + await asyncio.sleep(0.09375) + logger.info("zillion sync task ending") + + +async def main() -> None: + parser = get_base_parser() + parser.add_argument('diff_file', default="", type=str, nargs="?", + help='Path to a .apzl Archipelago Binary Patch file') + # SNI parser.add_argument('--loglevel', default='info', choices=['debug', 'info', 'warning', 'error', 'critical']) + args = parser.parse_args() + print(args) + + if args.diff_file: + import Patch + logger.info("patch file was supplied - creating sms rom...") + meta, rom_file = Patch.create_rom_file(args.diff_file) + if "server" in meta: + args.connect = meta["server"] + logger.info(f"wrote rom file to {rom_file}") + + ctx = ZillionContext(args.connect, args.password) + if ctx.server_task is None: + ctx.server_task = asyncio.create_task(server_loop(ctx), name="ServerLoop") + + if gui_enabled: + ctx.run_gui() + ctx.run_cli() + + sync_task = asyncio.create_task(zillion_sync_task(ctx)) + + await ctx.exit_event.wait() + + ctx.server_address = None + logger.debug("waiting for sync task to end") + await sync_task + logger.debug("sync task ended") + await ctx.shutdown() + + +def launch() -> None: + colorama.init() + asyncio.run(main()) + colorama.deinit() diff --git a/worlds/zillion/config.py b/worlds/zillion/config.py new file mode 100644 index 000000000000..e08c4f4278ed --- /dev/null +++ b/worlds/zillion/config.py @@ -0,0 +1 @@ +base_id = 8675309 diff --git a/worlds/zillion/docs/en_Zillion.md b/worlds/zillion/docs/en_Zillion.md new file mode 100644 index 000000000000..697a9b7dadbe --- /dev/null +++ b/worlds/zillion/docs/en_Zillion.md @@ -0,0 +1,82 @@ +# Zillion + +Zillion is a metroidvania-style game released in 1987 for the 8-bit Sega Master System. + +It's based on the anime Zillion (赤い光弾ジリオン, Akai Koudan Zillion). + +## Where is the options page? + +The [player options page for this game](../player-options) contains all the options you need to configure and export a config file. + +## What changes are made to this game? + +The way the original game lets the player choose who to level up has a few drawbacks in a multiworld randomizer: + - Possible softlock from making bad choices (example: nobody has jump 3 when it's required) + - In multiworld, you won't be able to choose because you won't know it's coming beforehand. + +So this randomizer uses a new level-up system: + - Everyone levels up together (even if they're not rescued yet). + - You can choose how many opa-opas are required for a level up. + - You can set a max level from 1 to 8. + - The currently active character is still the only one that gets the health refill. + +--- + +You can set these options to choose when characters will be able to attain certain jump levels: + +``` +jump levels + +vanilla balanced low restrictive + +jj ap ch jj ap ch jj ap ch jj ap ch +2 3 1 1 2 1 1 1 1 1 1 1 +2 3 1 2 2 1 1 2 1 1 1 1 +2 3 1 2 3 1 2 2 1 1 2 1 +2 3 1 2 3 2 2 3 1 1 2 1 +3 3 2 3 3 2 2 3 2 2 2 1 +3 3 2 3 3 2 3 3 2 2 2 1 +3 3 3 3 3 3 3 3 2 2 3 1 +3 3 3 3 3 3 3 3 3 2 3 2 +``` + +Note that in "restrictive" mode, Apple is the only one that can get jump level 3. + +--- + +You can set these options to choose when characters will be able to attain certain Zillion power (gun) levels: + +``` +zillion power + +vanilla balanced low restrictive + +jj ap ch jj ap ch jj ap ch jj ap ch +1 1 3 1 1 2 1 1 1 1 1 1 +2 2 3 2 1 2 1 1 2 1 1 2 +3 3 3 2 2 3 2 1 2 2 1 2 + 3 2 3 2 1 3 2 1 3 + 3 3 3 2 2 3 2 2 3 + 3 2 3 + 3 3 3 +``` + +Note that in "restrictive" mode, Champ is the only one that can get Zillion power level 3. + +## What does another world's item look like in Zillion? + +Canisters retain their original appearance, so you won't know if an item belongs to another player until you collect it. + +When you collect an item, you see the name of the player it goes to. You can see in the client log what item was +collected. + +## When the player receives an item, what happens? + +The item collect sound is played. You can see in the client log what item was received. + +## Unique Local Commands + +The following commands are only available when using the ZillionClient to play with Archipelago. + +- `/sms` Tell the client that Zillion is running in RetroArch. +- `/map` Toggle view of the map tracker. diff --git a/worlds/zillion/docs/setup_en.md b/worlds/zillion/docs/setup_en.md new file mode 100644 index 000000000000..c8e29fc36cde --- /dev/null +++ b/worlds/zillion/docs/setup_en.md @@ -0,0 +1,107 @@ +# Zillion Setup Guide + +## Required Software + +- [Archipelago](https://github.com/ArchipelagoMW/Archipelago/releases). + +- RetroArch 1.10.3 or newer from: [RetroArch Website](https://retroarch.com?page=platforms). + +- Your legally obtained Zillion ROM file, named `Zillion (UE) [!].sms` + +## Installation Procedures + +### RetroArch + +RetroArch 1.9.x will not work, as it is older than 1.10.3. + +1. Enter the RetroArch main menu screen. +2. Go to Main Menu --> Online Updater --> Core Downloader. Scroll down and install one of these cores: + - "Sega - MS/GG (SMS Plus GX)" + - "Sega - MS/GG/MD/CD (Genesis Plus GX) +3. Go to Settings --> User Interface. Set "Show Advanced Settings" to ON. +4. Go to Settings --> Network. Set "Network Commands" to ON. (It is found below Request Device 16.) Leave the default + Network Command Port at 55355. + +![Screenshot of Network Commands setting](/static/generated/docs/A%20Link%20to%20the%20Past/retroarch-network-commands-en.png) + +### Linux Setup + +Put your Zillion ROM file in the Archipelago directory in your home directory. + +### Windows Setup + +1. Download and install [Archipelago](). **The installer + file is located in the assets section at the bottom of the version information.** +2. The first time you do local generation or patch your game, you will be asked to locate your base ROM file. + This is the Zillion ROM file mentioned above in Required Software. This only needs to be done once. + +--- +# Play + +## Create a Config (.yaml) File + +### What is a config file and why do I need one? + +See the guide on setting up a basic YAML at the Archipelago setup +guide: [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en) + +### Where do I get a config file? + +The [player options page](/games/Zillion/player-options) on the website allows you to configure your personal options and export a config file from +them. + +### Verifying your config file + +If you would like to validate your config file to make sure it works, you may do so on the [YAML Validator page](/check). + +## Generating a Single-Player Game + +1. Navigate to the [player options page](/games/Zillion/player-options), configure your options, and click the "Generate Game" button. +2. A "Seed Info" page will appear. +3. Click the "Create New Room" link. +4. A server page will appear. Download your patch file from this page. +5. Patch your ROM file. + - Linux + - In the launcher, choose "Open Patch" and select your patch file. + - Windows + - Double-click on your patch file. + The Zillion Client will launch automatically, and create your ROM in the location of the patch file. +6. Open the ROM in RetroArch using the core "SMS Plus GX" or "Genesis Plus GX". + - For a single player game, any emulator (or a Sega Master System) can be used, but there are additional features with RetroArch and the Zillion Client. + - If you press reset or restore a save state and return to the surface in the game, the Zillion Client will keep open all the doors that you have opened. + +## Joining a MultiWorld Game + +1. Provide your config (yaml) file to the host and obtain your patch file. + - When you join a multiworld game, you will be asked to provide your config file to whoever is hosting. Once that is done, the host will provide you with either a link to download your patch file, or with a zip file containing everyone's patch files. Your patch file should have a `.apzl` extension. + - If you activate the "room generation" option in your config (yaml), you might want to tell your host that the generation will take longer than normal. It takes approximately 20 seconds longer for each Zillion player that enables this option. +2. Create your ROM. + - Linux + - In the Archipelago Launcher, choose "Open Patch" and select your `.apzl` patch file. + - Windows + - Put your patch file on your desktop or somewhere convenient, and double click it. + - This should automatically launch the client, and will also create your ROM in the same place as your patch file. +3. Connect to the client. + - Use RetroArch to open the ROM that was generated. + - Be sure to select the **SMS Plus GX** core or the **Genesis Plus GX** core. These cores will allow external tools to read RAM data. +4. Connect to the Archipelago Server. + - The patch file which launched your client should have automatically connected you to the AP Server. There are a few reasons this may not happen however, including if the game is hosted on the website but was generated elsewhere. If the client window shows "Server Status: Not Connected", simply ask the host for the address of the server, and copy/paste it into the "Server" input field then press enter. + - The client will attempt to reconnect to the new server address, and should momentarily show "Server Status: Connected". +5. Play the game. + - When the client shows both Game and Server as connected, you're ready to begin playing. Congratulations on successfully joining a multiworld game! + +## Hosting a MultiWorld game + +The recommended way to host a game is to use our hosting service. The process is relatively simple: + +1. Collect config files from your players. +2. Create a zip file containing your players' config files. +3. Upload that zip file to the [Generation page](/generate). + - Generate page: [WebHost Seed Generation Page](/generate) +4. Wait a moment while the seed is generated. +5. When the seed is generated, a "Seed Info" page will appear. +6. Click "Create New Room". This will take you to the server page. Provide the link to this page to your players, so + they may download their patch files from there. +7. Note that a link to a MultiWorld Tracker is at the top of the room page. The tracker shows the progress of all + players in the game. Any observers may also be given the link to this page. +8. 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zMQ1qelph%4{Z#amQ9Vxo>|`$cKE|=-RruFJ$lbc<`Mi(=!q8p`-%~O&ijLE>04Yh+ zH)AD+zZf9pM}%|_OIxkDuc9~wHqz(_FuLL=5rqQP-T^p9IXYB!Oflwb4n`)b^f!B? z8K9MaeMn@TQnL{I-dOqyryh#VpzNVv*~P??pnj?f%MP(?Vn3C`9c!RZN@1AT(KzkI(wgA#t8id1iee1%?DD}w92w% z6BMx7Hf77|e8}t=5RrO!T*GGpH-k^Gm2G=$FeI9}EguJSemvcf)X895a-sIy_*5Q5 zdPbPypTQqq~Hijp~z>yGtdRH!^vrg`YZ;q$@3#?W;R%#&~{ zvn}f=l29Y}me@=JMlM9SjiG0h)LB;%Qdt@^#eVG!aI^N6V?sL4XsWizPHXADFZY8< zlmh9OeFm=nqCEllLlGOBk=yLMSGWsIJQFh*Lf^xAjx^J*b+7(j!JTOiXSCbNTV*y_ zh*x5iYxyB$N|YX~zO3PMyN1Zi>=wwe_R^Zx2BSqU*P7P*aF8)#p8P>FEERFWmH+hC zXNG{42AfcdNKuh9O&0|-7g?#dSrs6MuFWrcWM0=8TMO!-bh~c;oE=Ve{D zi3VCwwddaJ!LmjPRxgGWxr_SW7d|NW=;bSZ@}MJ~e3p^)Eqlcl+qS%)G49x=yya wF8>9n str: + """ serialized data from generation needed to patch rom """ + jsonable = { + "multi_items": self.multi_items, + "zz_game": self.zz_game.to_jsonable(), + "game_id": list(self.game_id) + } + return json.dumps(jsonable) + + @staticmethod + def from_json(gen_data_str: str) -> "GenData": + """ the reverse of `to_json` """ + from_json = json.loads(gen_data_str) + return GenData( + from_json["multi_items"], + ZzGame.from_jsonable(from_json["zz_game"]), + bytes(from_json["game_id"]) + ) diff --git a/worlds/zillion/id_maps.py b/worlds/zillion/id_maps.py new file mode 100644 index 000000000000..32d71fc79b30 --- /dev/null +++ b/worlds/zillion/id_maps.py @@ -0,0 +1,158 @@ +from collections import defaultdict +from typing import Dict, Iterable, Mapping, Tuple, TypedDict + +from zilliandomizer.logic_components.items import ( + Item as ZzItem, + KEYWORD, + NORMAL, + RESCUE, + item_name_to_id as zz_item_name_to_zz_id, + items as zz_items, + item_name_to_item as zz_item_name_to_zz_item, +) +from zilliandomizer.logic_components.regions import RegionData +from zilliandomizer.low_resources.item_rooms import item_room_codes +from zilliandomizer.options import Chars +from zilliandomizer.utils.loc_name_maps import loc_to_id as pretty_loc_name_to_id +from zilliandomizer.utils import parse_loc_name, parse_reg_name +from zilliandomizer.zri.memory import RescueInfo + +from .config import base_id as base_id + +item_name_to_id = { + "Apple": 0 + base_id, + "Champ": 1 + base_id, + "JJ": 2 + base_id, + "Win": 3 + base_id, + "Empty": 4 + base_id, + "ID Card": 5 + base_id, + "Red ID Card": 6 + base_id, + "Floppy Disk": 7 + base_id, + "Bread": 8 + base_id, + "Opa-Opa": 9 + base_id, + "Zillion": 10 + base_id, + "Scope": 11 + base_id, +} + + +_zz_rescue_0 = zz_item_name_to_zz_item["rescue_0"] +_zz_rescue_1 = zz_item_name_to_zz_item["rescue_1"] +_zz_empty = zz_item_name_to_zz_item["empty"] + + +def make_id_to_others(start_char: Chars) -> Tuple[ + Dict[int, str], Dict[int, int], Dict[int, ZzItem] +]: + """ returns id_to_name, id_to_zz_id, id_to_zz_item """ + id_to_name: Dict[int, str] = {} + id_to_zz_id: Dict[int, int] = {} + id_to_zz_item: Dict[int, ZzItem] = {} + + if start_char == "JJ": + name_to_zz_item = { + "Apple": _zz_rescue_0, + "Champ": _zz_rescue_1, + "JJ": _zz_empty + } + elif start_char == "Apple": + name_to_zz_item = { + "Apple": _zz_empty, + "Champ": _zz_rescue_1, + "JJ": _zz_rescue_0 + } + else: # Champ + name_to_zz_item = { + "Apple": _zz_rescue_0, + "Champ": _zz_empty, + "JJ": _zz_rescue_1 + } + + for name, ap_id in item_name_to_id.items(): + id_to_name[ap_id] = name + + if ap_id >= 4 + base_id: + index = ap_id - base_id + zz_item = zz_items[index] + assert zz_item.id == index and zz_item.name == name + elif ap_id < 3 + base_id: + # rescue + assert name in {"Apple", "Champ", "JJ"} + zz_item = name_to_zz_item[name] + else: # main + zz_item = zz_item_name_to_zz_item["main"] + + id_to_zz_id[ap_id] = zz_item_name_to_zz_id[zz_item.debug_name] + id_to_zz_item[ap_id] = zz_item + + return id_to_name, id_to_zz_id, id_to_zz_item + + +def make_room_name(row: int, col: int) -> str: + return f"{chr(ord('A') + row - 1)}-{col + 1}" + + +loc_name_to_id: Dict[str, int] = { + name: id_ + base_id + for name, id_ in pretty_loc_name_to_id.items() +} + + +def zz_reg_name_to_reg_name(zz_reg_name: str) -> str: + if zz_reg_name[0] == 'r' and zz_reg_name[3] == 'c': + row, col = parse_reg_name(zz_reg_name) + end = zz_reg_name[5:] + return f"{make_room_name(row, col)} {end.upper()}" + return zz_reg_name + + +class ClientRescue(TypedDict): + start_char: Chars + room_code: int + mask: int + + +class ZillionSlotInfo(TypedDict): + start_char: Chars + rescues: Dict[str, ClientRescue] + loc_mem_to_id: Dict[int, int] + """ memory location of canister to Archipelago location id number """ + + +def get_slot_info(regions: Iterable[RegionData], + start_char: Chars, + loc_name_to_pretty: Mapping[str, str]) -> ZillionSlotInfo: + items_placed_in_map_index: Dict[int, int] = defaultdict(int) + rescue_locations: Dict[int, RescueInfo] = {} + loc_memory_to_loc_id: Dict[int, int] = {} + for region in regions: + for loc in region.locations: + assert loc.item, ("There should be an item placed in every location before " + f"writing slot info. {loc.name} is missing item.") + if loc.item.code in {KEYWORD, NORMAL, RESCUE}: + row, col, _y, _x = parse_loc_name(loc.name) + map_index = row * 8 + col + item_no = items_placed_in_map_index[map_index] + room_code = item_room_codes[map_index] + + r = room_code + m = 1 << item_no + if loc.item.code == RESCUE: + rescue_locations[loc.item.id] = RescueInfo(start_char, r, m) + loc_memory = (r << 7) | m + loc_memory_to_loc_id[loc_memory] = pretty_loc_name_to_id[loc_name_to_pretty[loc.name]] + items_placed_in_map_index[map_index] += 1 + + rescues: Dict[str, ClientRescue] = {} + for i in (0, 1): + if i in rescue_locations: + ri = rescue_locations[i] + rescues[str(i)] = { + "start_char": ri.start_char, + "room_code": ri.room_code, + "mask": ri.mask + } + return { + "start_char": start_char, + "rescues": rescues, + "loc_mem_to_id": loc_memory_to_loc_id + } diff --git a/worlds/zillion/item.py b/worlds/zillion/item.py new file mode 100644 index 000000000000..fdf0fa8ba247 --- /dev/null +++ b/worlds/zillion/item.py @@ -0,0 +1,12 @@ +from BaseClasses import Item, ItemClassification as IC +from zilliandomizer.logic_components.items import Item as ZzItem + + +class ZillionItem(Item): + game = "Zillion" + __slots__ = ("zz_item",) + zz_item: ZzItem + + def __init__(self, name: str, classification: IC, code: int, player: int, zz_item: ZzItem) -> None: + super().__init__(name, classification, code, player) + self.zz_item = zz_item diff --git a/worlds/zillion/logic.py b/worlds/zillion/logic.py new file mode 100644 index 000000000000..dcbc6131f1a9 --- /dev/null +++ b/worlds/zillion/logic.py @@ -0,0 +1,81 @@ +from typing import Dict, FrozenSet, Tuple, List, Counter as _Counter + +from BaseClasses import CollectionState + +from zilliandomizer.logic_components.items import Item, items +from zilliandomizer.logic_components.locations import Location +from zilliandomizer.randomizer import Randomizer + +from .item import ZillionItem +from .id_maps import item_name_to_id + +zz_empty = items[4] + +# TODO: unit tests for these + + +def set_randomizer_locs(cs: CollectionState, p: int, zz_r: Randomizer) -> int: + """ + sync up zilliandomizer locations with archipelago locations + + returns a hash of the player and of the set locations with their items + """ + from . import ZillionWorld + z_world = cs.multiworld.worlds[p] + assert isinstance(z_world, ZillionWorld) + + _hash = p + for z_loc in z_world.my_locations: + zz_name = z_loc.zz_loc.name + zz_item = z_loc.item.zz_item \ + if isinstance(z_loc.item, ZillionItem) and z_loc.item.player == p \ + else zz_empty + zz_r.locations[zz_name].item = zz_item + _hash += (hash(zz_name) * (z_loc.zz_loc.req.gun + 2)) ^ hash(zz_item) + return _hash + + +def item_counts(cs: CollectionState, p: int) -> Tuple[Tuple[str, int], ...]: + """ + the zilliandomizer items that player p has collected + + ((item_name, count), (item_name, count), ...) + """ + return tuple((item_name, cs.count(item_name, p)) for item_name in item_name_to_id) + + +LogicCacheType = Dict[int, Tuple[Dict[int, _Counter[str]], FrozenSet[Location]]] +""" { hash: (cs.prog_items, accessible_locations) } """ + + +def cs_to_zz_locs(cs: CollectionState, p: int, zz_r: Randomizer, id_to_zz_item: Dict[int, Item]) -> FrozenSet[Location]: + """ + given an Archipelago `CollectionState`, + returns frozenset of accessible zilliandomizer locations + """ + # caching this function because it would be slow + logic_cache: LogicCacheType = getattr(cs.multiworld, "zillion_logic_cache", {}) + _hash = set_randomizer_locs(cs, p, zz_r) + counts = item_counts(cs, p) + _hash += hash(counts) + + if _hash in logic_cache and logic_cache[_hash][0] == cs.prog_items: + # print("cache hit") + return logic_cache[_hash][1] + + # print("cache miss") + have_items: List[Item] = [] + for name, count in counts: + have_items.extend([id_to_zz_item[item_name_to_id[name]]] * count) + # have_req is the result of converting AP CollectionState to zilliandomizer collection state + have_req = zz_r.make_ability(have_items) + + # This `get_locations` is where the core of the logic comes in. + # It takes a zilliandomizer collection state (a set of the abilities that I have) + # and returns list of all the zilliandomizer locations I can access with those abilities. + tr = frozenset(zz_r.get_locations(have_req)) + + # save result in cache + logic_cache[_hash] = (cs.prog_items.copy(), tr) + + return tr diff --git a/worlds/zillion/options.py b/worlds/zillion/options.py new file mode 100644 index 000000000000..d75dd1a1c22c --- /dev/null +++ b/worlds/zillion/options.py @@ -0,0 +1,399 @@ +from collections import Counter +from dataclasses import dataclass +from typing import ClassVar, Dict, Tuple +from typing_extensions import TypeGuard # remove when Python >= 3.10 + +from Options import Choice, DefaultOnToggle, NamedRange, OptionGroup, PerGameCommonOptions, Range, Toggle + +from zilliandomizer.options import ( + Options as ZzOptions, char_to_gun, char_to_jump, ID, + VBLR as ZzVBLR, Chars, ItemCounts as ZzItemCounts +) +from zilliandomizer.options.parsing import validate as zz_validate + + +class ZillionContinues(NamedRange): + """ + number of continues before game over + + game over teleports you to your ship, keeping items and open doors + """ + default = 3 + range_start = 0 + range_end = 21 + display_name = "continues" + special_range_names = { + "vanilla": 3, + "infinity": 21 + } + + +class ZillionFloppyReq(Range): + """ how many floppy disks are required """ + range_start = 0 + range_end = 8 + default = 5 + display_name = "floppies required" + + +class VBLR(Choice): + option_vanilla = 0 + option_balanced = 1 + option_low = 2 + option_restrictive = 3 + default = 1 + + def to_zz_vblr(self) -> ZzVBLR: + def is_vblr(o: str) -> TypeGuard[ZzVBLR]: + """ + This function is because mypy doesn't support narrowing with `in`, + https://github.com/python/mypy/issues/12535 + so this is the only way I see to get type narrowing to `Literal`. + """ + return o in ("vanilla", "balanced", "low", "restrictive") + + key = self.current_key + assert is_vblr(key), f"{key=}" + return key + + +class ZillionGunLevels(VBLR): + """ + Zillion gun power for the number of Zillion power ups you pick up + + For "restrictive", Champ is the only one that can get Zillion gun power level 3. + """ + display_name = "gun levels" + + +class ZillionJumpLevels(VBLR): + """ + jump levels for each character level + + For "restrictive", Apple is the only one that can get jump level 3. + """ + display_name = "jump levels" + + +class ZillionRandomizeAlarms(DefaultOnToggle): + """ whether to randomize the locations of alarm sensors """ + display_name = "randomize alarms" + + +class ZillionMaxLevel(Range): + """ the highest level you can get """ + range_start = 3 + range_end = 8 + default = 8 + display_name = "max level" + + +class ZillionOpasPerLevel(Range): + """ + how many Opa-Opas are required to level up + + Lower makes you level up faster. + """ + range_start = 1 + range_end = 5 + default = 2 + display_name = "Opa-Opas per level" + + +class ZillionStartChar(Choice): + """ which character you start with """ + option_jj = 0 + option_apple = 1 + option_champ = 2 + display_name = "start character" + default = "random" + + _name_capitalization: ClassVar[Dict[int, Chars]] = { + option_jj: "JJ", + option_apple: "Apple", + option_champ: "Champ", + } + + def get_char(self) -> Chars: + return ZillionStartChar._name_capitalization[self.value] + + +class ZillionIDCardCount(Range): + """ + how many ID Cards are in the game + + Vanilla is 63 + + maximum total for all items is 144 + """ + range_start = 0 + range_end = 126 + default = 42 + display_name = "ID Card count" + + +class ZillionBreadCount(Range): + """ + how many Breads are in the game + + Vanilla is 33 + + maximum total for all items is 144 + """ + range_start = 0 + range_end = 126 + default = 50 + display_name = "Bread count" + + +class ZillionOpaOpaCount(Range): + """ + how many Opa-Opas are in the game + + Vanilla is 26 + + maximum total for all items is 144 + """ + range_start = 0 + range_end = 126 + default = 26 + display_name = "Opa-Opa count" + + +class ZillionZillionCount(Range): + """ + how many Zillion gun power ups are in the game + + Vanilla is 6 + + maximum total for all items is 144 + """ + range_start = 0 + range_end = 126 + default = 8 + display_name = "Zillion power up count" + + +class ZillionFloppyDiskCount(Range): + """ + how many Floppy Disks are in the game + + Vanilla is 5 + + maximum total for all items is 144 + """ + range_start = 0 + range_end = 126 + default = 7 + display_name = "Floppy Disk count" + + +class ZillionScopeCount(Range): + """ + how many Scopes are in the game + + Vanilla is 4 + + maximum total for all items is 144 + """ + range_start = 0 + range_end = 126 + default = 4 + display_name = "Scope count" + + +class ZillionRedIDCardCount(Range): + """ + how many Red ID Cards are in the game + + Vanilla is 1 + + maximum total for all items is 144 + """ + range_start = 0 + range_end = 126 + default = 2 + display_name = "Red ID Card count" + + +class ZillionEarlyScope(Toggle): + """ make sure Scope is available early """ + display_name = "early scope" + + +class ZillionSkill(Range): + """ + the difficulty level of the game + + higher skill: + - can require more precise platforming movement + - lowers your defense + - gives you less time to escape at the end + """ + range_start = 0 + range_end = 5 + default = 2 + + +class ZillionStartingCards(NamedRange): + """ + how many ID Cards to start the game with + + Refilling at the ship also ensures you have at least this many cards. + 0 gives vanilla behavior. + """ + default = 2 + range_start = 0 + range_end = 10 + display_name = "starting cards" + special_range_names = { + "vanilla": 0 + } + + +class ZillionRoomGen(Toggle): + """ whether to generate rooms with random terrain """ + display_name = "room generation" + + +@dataclass +class ZillionOptions(PerGameCommonOptions): + continues: ZillionContinues + floppy_req: ZillionFloppyReq + gun_levels: ZillionGunLevels + jump_levels: ZillionJumpLevels + randomize_alarms: ZillionRandomizeAlarms + max_level: ZillionMaxLevel + start_char: ZillionStartChar + opas_per_level: ZillionOpasPerLevel + id_card_count: ZillionIDCardCount + bread_count: ZillionBreadCount + opa_opa_count: ZillionOpaOpaCount + zillion_count: ZillionZillionCount + floppy_disk_count: ZillionFloppyDiskCount + scope_count: ZillionScopeCount + red_id_card_count: ZillionRedIDCardCount + early_scope: ZillionEarlyScope + skill: ZillionSkill + starting_cards: ZillionStartingCards + room_gen: ZillionRoomGen + + +z_option_groups = [ + OptionGroup("item counts", [ + ZillionIDCardCount, ZillionBreadCount, ZillionOpaOpaCount, ZillionZillionCount, + ZillionFloppyDiskCount, ZillionScopeCount, ZillionRedIDCardCount + ]) +] + + +def convert_item_counts(ic: "Counter[str]") -> ZzItemCounts: + tr: ZzItemCounts = { + ID.card: ic["ID Card"], + ID.red: ic["Red ID Card"], + ID.floppy: ic["Floppy Disk"], + ID.bread: ic["Bread"], + ID.gun: ic["Zillion"], + ID.opa: ic["Opa-Opa"], + ID.scope: ic["Scope"], + ID.empty: ic["Empty"], + } + return tr + + +def validate(options: ZillionOptions) -> "Tuple[ZzOptions, Counter[str]]": + """ + adjusts options to make game completion possible + + `options` parameter is ZillionOptions object that was put on my world by the core + """ + + skill = options.skill.value + + jump_option = options.jump_levels.to_zz_vblr() + required_level = char_to_jump["Apple"][jump_option].index(3) + 1 + if skill == 0: + # because of hp logic on final boss + required_level = 8 + + gun_option = options.gun_levels.to_zz_vblr() + guns_required = char_to_gun["Champ"][gun_option].index(3) + + floppy_req = options.floppy_req + + item_counts = Counter({ + "ID Card": options.id_card_count, + "Bread": options.bread_count, + "Opa-Opa": options.opa_opa_count, + "Zillion": options.zillion_count, + "Floppy Disk": options.floppy_disk_count, + "Scope": options.scope_count, + "Red ID Card": options.red_id_card_count + }) + minimums = Counter({ + "ID Card": 0, + "Bread": 0, + "Opa-Opa": required_level - 1, + "Zillion": guns_required, + "Floppy Disk": floppy_req.value, + "Scope": 0, + "Red ID Card": 1 + }) + for key in minimums: + item_counts[key] = max(minimums[key], item_counts[key]) + max_movables = 144 - sum(minimums.values()) + movables = item_counts - minimums + while sum(movables.values()) > max_movables: + # logging.warning("zillion options validate: player options item counts too high") + total = sum(movables.values()) + scaler = max_movables / total + for key in movables: + movables[key] = int(movables[key] * scaler) + item_counts = movables + minimums + + # now have required items, and <= 144 + + # now fill remaining with empty + total = sum(item_counts.values()) + diff = 144 - total + if "Empty" not in item_counts: + item_counts["Empty"] = 0 + item_counts["Empty"] += diff + assert sum(item_counts.values()) == 144 + + max_level = options.max_level + max_level.value = max(required_level, max_level.value) + + opas_per_level = options.opas_per_level + while (opas_per_level.value > 1) and (1 + item_counts["Opa-Opa"] // opas_per_level.value < max_level.value): + # logging.warning( + # "zillion options validate: option opas_per_level incompatible with options max_level and opa_opa_count" + # ) + opas_per_level.value -= 1 + + # that should be all of the level requirements met + + starting_cards = options.starting_cards + + room_gen = options.room_gen + + zz_item_counts = convert_item_counts(item_counts) + zz_op = ZzOptions( + zz_item_counts, + jump_option, + gun_option, + opas_per_level.value, + max_level.value, + False, # tutorial + skill, + options.start_char.get_char(), + floppy_req.value, + options.continues.value, + bool(options.randomize_alarms.value), + bool(options.early_scope.value), + True, # balance defense + starting_cards.value, + bool(room_gen.value) + ) + zz_validate(zz_op) + return zz_op, item_counts diff --git a/worlds/zillion/patch.py b/worlds/zillion/patch.py new file mode 100644 index 000000000000..6bc6d04dd663 --- /dev/null +++ b/worlds/zillion/patch.py @@ -0,0 +1,83 @@ +import os +from typing import Any, BinaryIO, Optional, cast +import zipfile + +from typing_extensions import override + +import Utils +from worlds.Files import APAutoPatchInterface + +from zilliandomizer.patch import Patcher + +from .gen_data import GenData + +USHASH = 'd4bf9e7bcf9a48da53785d2ae7bc4270' + + +class ZillionPatch(APAutoPatchInterface): + hash = USHASH + game = "Zillion" + patch_file_ending = ".apzl" + result_file_ending = ".sms" + + gen_data_str: str + """ JSON encoded """ + + def __init__(self, *args: Any, gen_data_str: str = "", **kwargs: Any) -> None: + super().__init__(*args, **kwargs) + self.gen_data_str = gen_data_str + + @classmethod + def get_source_data(cls) -> bytes: + with open(get_base_rom_path(), "rb") as stream: + return read_rom(stream) + + @override + def write_contents(self, opened_zipfile: zipfile.ZipFile) -> None: + super().write_contents(opened_zipfile) + opened_zipfile.writestr("gen_data.json", + self.gen_data_str, + compress_type=zipfile.ZIP_DEFLATED) + + @override + def read_contents(self, opened_zipfile: zipfile.ZipFile) -> None: + super().read_contents(opened_zipfile) + self.gen_data_str = opened_zipfile.read("gen_data.json").decode() + + def patch(self, target: str) -> None: + self.read() + write_rom_from_gen_data(self.gen_data_str, target) + + +def get_base_rom_path(file_name: Optional[str] = None) -> str: + options = Utils.get_options() + if not file_name: + file_name = cast(str, options["zillion_options"]["rom_file"]) + if not os.path.exists(file_name): + file_name = Utils.user_path(file_name) + return file_name + + +def read_rom(stream: BinaryIO) -> bytes: + """ reads rom into bytearray """ + data = stream.read() + # I'm not aware of any sms header. + return data + + +def write_rom_from_gen_data(gen_data_str: str, output_rom_file_name: str) -> None: + """ take the output of `GenData.to_json`, and create rom from it """ + gen_data = GenData.from_json(gen_data_str) + + base_rom_path = get_base_rom_path() + zz_patcher = Patcher(base_rom_path) + + zz_patcher.write_locations(gen_data.zz_game.regions, gen_data.zz_game.char_order[0]) + zz_patcher.all_fixes_and_options(gen_data.zz_game) + zz_patcher.set_external_item_interface(gen_data.zz_game.char_order[0], gen_data.zz_game.options.max_level) + zz_patcher.set_multiworld_items(gen_data.multi_items) + zz_patcher.set_rom_to_ram_data(gen_data.game_id) + + patched_rom_bytes = zz_patcher.get_patched_bytes() + with open(output_rom_file_name, "wb") as binary_file: + binary_file.write(patched_rom_bytes) diff --git a/worlds/zillion/py.typed b/worlds/zillion/py.typed new file mode 100644 index 000000000000..e69de29bb2d1 diff --git a/worlds/zillion/region.py b/worlds/zillion/region.py new file mode 100644 index 000000000000..cf5aa6588950 --- /dev/null +++ b/worlds/zillion/region.py @@ -0,0 +1,48 @@ +from typing import Optional +from BaseClasses import MultiWorld, Region, Location, Item, CollectionState +from zilliandomizer.logic_components.regions import Region as ZzRegion +from zilliandomizer.logic_components.locations import Location as ZzLocation +from zilliandomizer.logic_components.items import RESCUE + +from .id_maps import loc_name_to_id +from .item import ZillionItem + + +class ZillionRegion(Region): + zz_r: ZzRegion + + def __init__(self, zz_r: ZzRegion, + name: str, + hint: str, + player: int, + multiworld: MultiWorld) -> None: + super().__init__(name, player, multiworld, hint) + self.zz_r = zz_r + + +class ZillionLocation(Location): + zz_loc: ZzLocation + game: str = "Zillion" + + def __init__(self, + zz_loc: ZzLocation, + player: int, + name: str, + parent: Optional[Region] = None) -> None: + loc_id = loc_name_to_id[name] + super().__init__(player, name, loc_id, parent) + self.zz_loc = zz_loc + + # override + def can_fill(self, state: CollectionState, item: Item, check_access: bool = True) -> bool: + saved_gun_req = -1 + if isinstance(item, ZillionItem) \ + and item.zz_item.code == RESCUE \ + and self.player == item.player: + # RESCUE removes the gun requirement from a location. + saved_gun_req = self.zz_loc.req.gun + self.zz_loc.req.gun = 0 + super_result = super().can_fill(state, item, check_access) + if saved_gun_req != -1: + self.zz_loc.req.gun = saved_gun_req + return super_result diff --git a/worlds/zillion/requirements.txt b/worlds/zillion/requirements.txt new file mode 100644 index 000000000000..3a784846a891 --- /dev/null +++ b/worlds/zillion/requirements.txt @@ -0,0 +1,2 @@ +zilliandomizer @ git+https://github.com/beauxq/zilliandomizer@b36a23b5a138c78732ac8efb5b5ca8b0be07dcff#0.7.0 +typing-extensions>=4.7, <5 diff --git a/worlds/zillion/test/TestGoal.py b/worlds/zillion/test/TestGoal.py new file mode 100644 index 000000000000..1c7930569913 --- /dev/null +++ b/worlds/zillion/test/TestGoal.py @@ -0,0 +1,149 @@ +from . import ZillionTestBase + + +class TestGoalVanilla(ZillionTestBase): + options = { + "start_char": "JJ", + "jump_levels": "vanilla", + "gun_levels": "vanilla", + "floppy_disk_count": 7, + "floppy_req": 6, + } + + def test_floppies(self) -> None: + self.collect_by_name(["Apple", "Champ", "Red ID Card"]) + self.assertBeatable(False) # 0 floppies + floppies = self.get_items_by_name("Floppy Disk") + win = self.get_item_by_name("Win") + self.collect(floppies[:-2]) # 1 too few + self.assertEqual(self.count("Floppy Disk"), 5) + self.assertBeatable(False) + self.collect(floppies[-2:-1]) # exact + self.assertEqual(self.count("Floppy Disk"), 6) + self.assertBeatable(True) + self.remove([win]) # reset + self.collect(floppies[-1:]) # 1 extra + self.assertEqual(self.count("Floppy Disk"), 7) + self.assertBeatable(True) + + def test_with_everything(self) -> None: + self.collect_by_name(["Apple", "Champ", "Red ID Card", "Floppy Disk"]) + self.assertBeatable(True) + + def test_no_jump(self) -> None: + self.collect_by_name(["Champ", "Red ID Card", "Floppy Disk"]) + self.assertBeatable(False) + + def test_no_gun(self) -> None: + self.ensure_gun_3_requirement() + self.collect_by_name(["Apple", "Red ID Card", "Floppy Disk"]) + self.assertBeatable(False) + + def test_no_red(self) -> None: + self.collect_by_name(["Apple", "Champ", "Floppy Disk"]) + self.assertBeatable(False) + + +class TestGoalBalanced(ZillionTestBase): + options = { + "start_char": "JJ", + "jump_levels": "balanced", + "gun_levels": "balanced", + } + + def test_jump(self) -> None: + self.collect_by_name(["Red ID Card", "Floppy Disk", "Zillion"]) + self.assertBeatable(False) # not enough jump + opas = self.get_items_by_name("Opa-Opa") + self.collect(opas[:1]) # too few + self.assertEqual(self.count("Opa-Opa"), 1) + self.assertBeatable(False) + self.collect(opas[1:]) + self.assertBeatable(True) + + def test_guns(self) -> None: + self.ensure_gun_3_requirement() + self.collect_by_name(["Red ID Card", "Floppy Disk", "Opa-Opa"]) + self.assertBeatable(False) # not enough gun + guns = self.get_items_by_name("Zillion") + self.collect(guns[:1]) # too few + self.assertEqual(self.count("Zillion"), 1) + self.assertBeatable(False) + self.collect(guns[1:]) + self.assertBeatable(True) + + +class TestGoalRestrictive(ZillionTestBase): + options = { + "start_char": "JJ", + "jump_levels": "restrictive", + "gun_levels": "restrictive", + } + + def test_jump(self) -> None: + self.collect_by_name(["Champ", "Red ID Card", "Floppy Disk", "Zillion"]) + self.assertBeatable(False) # not enough jump + self.collect_by_name("Opa-Opa") + self.assertBeatable(False) # with all opas, jj champ can't jump + self.collect_by_name("Apple") + self.assertBeatable(True) + + def test_guns(self) -> None: + self.ensure_gun_3_requirement() + self.collect_by_name(["Apple", "Red ID Card", "Floppy Disk", "Opa-Opa"]) + self.assertBeatable(False) # not enough gun + self.collect_by_name("Zillion") + self.assertBeatable(False) # with all guns, jj apple can't gun + self.collect_by_name("Champ") + self.assertBeatable(True) + + +class TestGoalAppleStart(ZillionTestBase): + """ creation of character rescue items has some special interactions with logic """ + options = { + "start_char": "Apple", + "jump_levels": "balanced", + "gun_levels": "low", + "zillion_count": 5 + } + + def test_guns_jj_first(self) -> None: + """ with low gun levels, 5 Zillion is enough to get JJ to gun 3 """ + self.ensure_gun_3_requirement() + self.collect_by_name(["JJ", "Red ID Card", "Floppy Disk", "Opa-Opa"]) + self.assertBeatable(False) # not enough gun + self.collect_by_name("Zillion") + self.assertBeatable(True) + + def test_guns_zillions_first(self) -> None: + """ with low gun levels, 5 Zillion is enough to get JJ to gun 3 """ + self.ensure_gun_3_requirement() + self.collect_by_name(["Zillion", "Red ID Card", "Floppy Disk", "Opa-Opa"]) + self.assertBeatable(False) # not enough gun + self.collect_by_name("JJ") + self.assertBeatable(True) + + +class TestGoalChampStart(ZillionTestBase): + """ creation of character rescue items has some special interactions with logic """ + options = { + "start_char": "Champ", + "jump_levels": "low", + "gun_levels": "balanced", + "opa_opa_count": 5, + "opas_per_level": 1 + } + + def test_jump_jj_first(self) -> None: + """ with low jump levels, 5 level-ups is enough to get JJ to jump 3 """ + self.collect_by_name(["JJ", "Red ID Card", "Floppy Disk", "Zillion"]) + self.assertBeatable(False) # not enough jump + self.collect_by_name("Opa-Opa") + self.assertBeatable(True) + + def test_jump_opa_first(self) -> None: + """ with low jump levels, 5 level-ups is enough to get JJ to jump 3 """ + self.collect_by_name(["Opa-Opa", "Red ID Card", "Floppy Disk", "Zillion"]) + self.assertBeatable(False) # not enough jump + self.collect_by_name("JJ") + self.assertBeatable(True) diff --git a/worlds/zillion/test/TestOptions.py b/worlds/zillion/test/TestOptions.py new file mode 100644 index 000000000000..c4f02d4bd3be --- /dev/null +++ b/worlds/zillion/test/TestOptions.py @@ -0,0 +1,30 @@ +from . import ZillionTestBase + +from worlds.zillion.options import ZillionJumpLevels, ZillionGunLevels, ZillionOptions, validate +from zilliandomizer.options import VBLR_CHOICES + + +class OptionsTest(ZillionTestBase): + auto_construct = False + + def test_validate_default(self) -> None: + self.world_setup() + options = self.multiworld.worlds[1].options + assert isinstance(options, ZillionOptions) + validate(options) + + def test_vblr_ap_to_zz(self) -> None: + """ all of the valid values for the AP options map to valid values for ZZ options """ + for option_name, vblr_class in ( + ("jump_levels", ZillionJumpLevels), + ("gun_levels", ZillionGunLevels) + ): + for value in vblr_class.name_lookup.values(): + self.options = {option_name: value} + self.world_setup() + options = self.multiworld.worlds[1].options + assert isinstance(options, ZillionOptions) + zz_options, _item_counts = validate(options) + assert getattr(zz_options, option_name) in VBLR_CHOICES + + # TODO: test validate with invalid combinations of options diff --git a/worlds/zillion/test/TestReproducibleRandom.py b/worlds/zillion/test/TestReproducibleRandom.py new file mode 100644 index 000000000000..392db657d90a --- /dev/null +++ b/worlds/zillion/test/TestReproducibleRandom.py @@ -0,0 +1,29 @@ +from typing import cast +from . import ZillionTestBase + +from worlds.zillion import ZillionWorld + + +class SeedTest(ZillionTestBase): + auto_construct = False + + def test_reproduce_seed(self) -> None: + self.world_setup(42) + z_world = cast(ZillionWorld, self.multiworld.worlds[1]) + r = z_world.zz_system.randomizer + assert r + randomized_requirements_first = tuple( + location.req.gun + for location in r.locations.values() + ) + + self.world_setup(42) + z_world = cast(ZillionWorld, self.multiworld.worlds[1]) + r = z_world.zz_system.randomizer + assert r + randomized_requirements_second = tuple( + location.req.gun + for location in r.locations.values() + ) + + assert randomized_requirements_first == randomized_requirements_second diff --git a/worlds/zillion/test/__init__.py b/worlds/zillion/test/__init__.py new file mode 100644 index 000000000000..93c0512fb045 --- /dev/null +++ b/worlds/zillion/test/__init__.py @@ -0,0 +1,20 @@ +from typing import cast +from test.bases import WorldTestBase +from worlds.zillion import ZillionWorld + + +class ZillionTestBase(WorldTestBase): + game = "Zillion" + + def ensure_gun_3_requirement(self) -> None: + """ + There's a low probability that gun 3 is not required. + + This makes sure that gun 3 is required by making all the canisters + in O-7 (including key word canisters) require gun 3. + """ + zz_world = cast(ZillionWorld, self.multiworld.worlds[1]) + assert zz_world.zz_system.randomizer + for zz_loc_name, zz_loc in zz_world.zz_system.randomizer.locations.items(): + if zz_loc_name.startswith("r15c6"): + zz_loc.req.gun = 3 From 59e8f30d52ab16f7d0e6dfb21dbfaa9a30b9d527 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 20:34:54 +0200 Subject: [PATCH 006/127] Now you can have 0 extra fragments --- worlds/yachtdice/Options.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 65b8d497833f..c1c2c3111092 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -57,7 +57,7 @@ class numberExtraDiceFragments(Range): The option will never give an extra full dice, but makes it easier to collect all dice. """ display_name = "Number of extra dice fragments in the pool" - range_start = 1 + range_start = 0 range_end = 4 default = 3 @@ -71,7 +71,7 @@ class numberExtraRollFragments(Range): The option will never give an extra full roll, but makes it easier to collect all roll. """ display_name = "Number of extra roll fragments in the pool" - range_start = 1 + range_start = 0 range_end = 4 default = 3 From f19689f27ef3cb17e719490aa91a4417ade2c1f2 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 21:25:21 +0200 Subject: [PATCH 007/127] Added alt categories, also options --- worlds/yachtdice/Options.py | 36 +++++++++++++- worlds/yachtdice/__init__.py | 94 ++++++++++++++++++++++-------------- 2 files changed, 91 insertions(+), 39 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index c1c2c3111092..aa9d8b8a971a 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -103,6 +103,17 @@ class goalLocationPercentage(Range): range_start = 70 range_end = 100 default = 90 + +class alternativeCategories(Range): + """ + There are 16 default categories, but there are also 16 alternative categories. + These alternative categories can replace the default categories. + How many alternative categories would you like to see in your game? + """ + display_name = "Number of alternative categories" + range_start = 0 + range_end = 16 + default = 0 @@ -126,6 +137,25 @@ class scoreMultiplierType(Choice): option_step_multiplier = 2 default = 1 +class gameMode(Choice): + """ + Yacht Dice has three main game modes: + + Standard. Get to 500 points on medium difficulty (and a bit lower/higher on other difficulties). + + Extra points: a bunch of "10 Points" items are shuffled through the item pool. Get to 1000 points. + The amount of "10 Points" items in the pool depends on your selected difficulty. + + Extra categories: categories may appear multiple times. + Getting a category again gives a x2 multiplier for that category. Get to 1000 points. + The amount of "10 Points" items in the pool depends on your selected difficulty. + """ + display_name = "Game mode" + option_standard = 1 + option_extra_points = 2 + option_extra_categories = 3 + default = 1 + class pointsGameMode(Choice): """ This extra game mode shuffles many points items in the pool, @@ -140,11 +170,11 @@ class pointsGameMode(Choice): Warning: will unlock many checks if an 100 Points item is collected. """ display_name = "Extra points game mode" - option_no_thanks = 1 option_yes_1_per_item = 2 option_yes_10_per_item = 3 option_yes_100_per_item = 4 - default = 1 + default = 3 + class minimizeExtraItems(Choice): """ @@ -209,7 +239,9 @@ class YachtDiceOptions(PerGameCommonOptions): number_of_extra_roll_fragments: numberExtraRollFragments game_difficulty: gameDifficulty goal_location_percentage: goalLocationPercentage + alternative_categories: alternativeCategories score_multiplier_type: scoreMultiplierType + game_mode: gameMode points_game_mode: pointsGameMode minimize_extra_items: minimizeExtraItems add_extra_points: addExtraPoints diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 5e946182d167..e6f678c8941e 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -43,7 +43,7 @@ class YachtDiceWorld(World): def _get_yachtdice_data(self): return { - "world_seed": self.multiworld.per_slot_randoms[self.player].getrandbits(32), + # "world_seed": self.multiworld.per_slot_randoms[self.player].getrandbits(32), "seed_name": self.multiworld.seed_name, "player_name": self.multiworld.get_player_name(self.player), "player_id": self.player, @@ -70,8 +70,22 @@ def create_items(self): #Start the game with one dice, one roll, category choice and category inverse choice. self.multiworld.push_precollected(self.create_item("Dice")) self.multiworld.push_precollected(self.create_item("Roll")) - self.multiworld.push_precollected(self.create_item("Category Choice")) - self.multiworld.push_precollected(self.create_item("Category Inverse Choice")) + + # Create a list with the specified number of 1s + num_ones = self.options.alternative_categories.value + categorylist = [1] * num_ones + [0] * (16 - num_ones) + + # Shuffle the list to randomize the order + self.multiworld.random.shuffle(categorylist) + + + + + item1 = ["Category Choice", "Category Double Threes and Fours"][categorylist[0]] + item2 = ["Category Inverse Choice", "Category Quadruple Ones and Twos"][categorylist[1]] + + self.multiworld.push_precollected(self.create_item(item1)) + self.multiworld.push_precollected(self.create_item(item2)) @@ -99,33 +113,35 @@ def create_items(self): itempool += ["Score Multiplier"] * 10 #add all categories. Note: not "choice" and "inverse choice", they are obtained at the start - itempool += ["Category Ones"] - itempool += ["Category Twos"] - itempool += ["Category Threes"] - itempool += ["Category Fours"] - itempool += ["Category Fives"] - itempool += ["Category Sixes"] - itempool += ["Category Pair"] - itempool += ["Category Three of a Kind"] - itempool += ["Category Four of a Kind"] - itempool += ["Category Tiny Straight"] - itempool += ["Category Small Straight"] - itempool += ["Category Large Straight"] - itempool += ["Category Full House"] - itempool += ["Category Yacht"] - - if(self.options.points_game_mode.value >= 4): - while self.extra_points_for_game_mode >= 89: #rather have 100 points than lot of smaller items - itempool += ["100 Points"] - self.extra_points_for_game_mode -= 100 - - if(self.options.points_game_mode.value >= 3): - while self.extra_points_for_game_mode >= 7: #rather have 10 points that lot of 1 points. - itempool += ["10 Points"] - self.extra_points_for_game_mode -= 10 - - if(self.options.points_game_mode.value >= 2 and self.extra_points_for_game_mode > 0): - itempool += ["1 Point"] * self.extra_points_for_game_mode + itempool += ["Category Ones", "Category Distincts"][categorylist[2]] + itempool += ["Category Twos", "Category Two times Ones"][categorylist[3]] + itempool += ["Category Threes", "Category Half of Sixes"][categorylist[4]] + itempool += ["Category Fours", "Category Twos and Threes"][categorylist[5]] + itempool += ["Category Fives", "Category Sum of Odds"][categorylist[6]] + itempool += ["Category Sixes", "Category Sum of Evens"][categorylist[7]] + + itempool += ["Category Pair", "Category Micro Straight"][categorylist[8]] + itempool += ["Category Three of a Kind", "Category Three Odds"][categorylist[9]] + itempool += ["Category Four of a Kind", "Category 1-2-1 Consecutive"][categorylist[10]] + itempool += ["Category Tiny Straight", "Category Three Distinct Dice"][categorylist[11]] + itempool += ["Category Small Straight", "Category Two Pair"][categorylist[12]] + itempool += ["Category Large Straight", "Category 2-1-2 Consecutive"][categorylist[13]] + itempool += ["Category Full House", "Category Five Distinct Dice"][categorylist[14]] + itempool += ["Category Yacht", "Category 4&5 Full House"][categorylist[15]] + + if self.options.game_mode.value == 2: + if(self.options.points_game_mode.value >= 4): + while self.extra_points_for_game_mode >= 89: #rather have 100 points than lot of smaller items + itempool += ["100 Points"] + self.extra_points_for_game_mode -= 100 + + if(self.options.points_game_mode.value >= 3): + while self.extra_points_for_game_mode >= 7: #rather have 10 points that lot of 1 points. + itempool += ["10 Points"] + self.extra_points_for_game_mode -= 10 + + if(self.options.points_game_mode.value >= 2 and self.extra_points_for_game_mode > 0): + itempool += ["1 Point"] * self.extra_points_for_game_mode #count the number of locations in the game. extra_plando_items is set in generate_early #and counts number of plando items *not* from pool. @@ -236,7 +252,7 @@ def generate_early(self): self.max_score = 683 self.extra_points_for_game_mode = 0 - if(self.options.points_game_mode.value >= 2): + if(self.options.game_mode.value == 2): self.extra_points_for_game_mode = 1000 - self.max_score self.max_score = 1000 @@ -288,12 +304,13 @@ def generate_early(self): min_number_of_locations = max(min_number_of_locations + 10, math.ceil(min_number_of_locations * extraPercentage)) - if(self.options.points_game_mode == 2): - min_number_of_locations += self.extra_points_for_game_mode - if(self.options.points_game_mode == 3): - min_number_of_locations += self.extra_points_for_game_mode // 10 + 10 - if(self.options.points_game_mode == 4): - min_number_of_locations += self.extra_points_for_game_mode // 100 + 20 + if self.options.game_mode.value == 2: + if(self.options.points_game_mode.value == 2): + min_number_of_locations += self.extra_points_for_game_mode + if(self.options.points_game_mode.value == 3): + min_number_of_locations += self.extra_points_for_game_mode // 10 + 10 + if(self.options.points_game_mode.value == 4): + min_number_of_locations += self.extra_points_for_game_mode // 100 + 20 #then to make sure generation works, we need to add locations, in case important items are placed late #add at least 10 locations or 20%. @@ -364,7 +381,10 @@ def fill_slot_data(self): "number_of_extra_roll_fragments", "game_difficulty", "goal_location_percentage", + "alternative_categories", "score_multiplier_type", + "game_mode", + "minimize_extra_items", "add_extra_points", "add_story_chapters", "which_story" From 55821d0e052e728d5bc5fa4e99f7c522324b81e1 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 21:55:25 +0200 Subject: [PATCH 008/127] Added item categories --- worlds/yachtdice/Items.py | 53 +++++++++++++++++++++++++++++++++++- worlds/yachtdice/__init__.py | 4 ++- 2 files changed, 55 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 74300b380f9b..42ff772fb7df 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -25,8 +25,10 @@ class YachtDiceItem(Item): "Category Fours": ItemData(16871244106, ItemClassification.progression), "Category Fives": ItemData(16871244107, ItemClassification.progression), "Category Sixes": ItemData(16871244108, ItemClassification.progression), + "Category Choice": ItemData(16871244109, ItemClassification.progression), "Category Inverse Choice": ItemData(16871244110, ItemClassification.progression), + "Category Pair": ItemData(16871244111, ItemClassification.progression), "Category Three of a Kind": ItemData(16871244112, ItemClassification.progression), "Category Four of a Kind": ItemData(16871244113, ItemClassification.progression), @@ -42,8 +44,10 @@ class YachtDiceItem(Item): "Category Twos and Threes": ItemData(16871244126, ItemClassification.progression), "Category Sum of Odds": ItemData(16871244127, ItemClassification.progression), "Category Sum of Evens": ItemData(16871244128, ItemClassification.progression), + "Category Double Threes and Fours": ItemData(16871244129, ItemClassification.progression), "Category Quadruple Ones and Twos": ItemData(16871244130, ItemClassification.progression), + "Category Micro Straight": ItemData(16871244131, ItemClassification.progression), "Category Three Odds": ItemData(16871244132, ItemClassification.progression), "Category 1-2-1 Consecutive": ItemData(16871244133, ItemClassification.progression), @@ -54,7 +58,6 @@ class YachtDiceItem(Item): "Category 4&5 Full House": ItemData(16871244138, ItemClassification.progression), - "Encouragement": ItemData(16871244200, ItemClassification.filler), "Fun Fact": ItemData(16871244201, ItemClassification.filler), "Story Chapter": ItemData(16871244202, ItemClassification.filler), @@ -65,4 +68,52 @@ class YachtDiceItem(Item): "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), "10 Points": ItemData(16871244302, ItemClassification.progression), "100 Points": ItemData(16871244303, ItemClassification.progression) +} + +ITEM_GROUPS = { + "Rolls": { + "Roll", "Roll Fragment" + }, + "Dice": { + "Dice", "Dice Fragment" + }, + "Categories": { + "Category Ones", + "Category Twos", + "Category Threes", + "Category Fours", + "Category Fives", + "Category Sixes", + + "Category Choice", + "Category Inverse Choice", + + "Category Pair", + "Category Three of a Kind", + "Category Four of a Kind", + "Category Tiny Straight", + "Category Small Straight", + "Category Large Straight", + "Category Full House", + "Category Yacht", + + "Category Distincts", + "Category Two times Ones", + "Category Half of Sixes", + "Category Twos and Threes", + "Category Sum of Odds", + "Category Sum of Evens", + + "Category Double Threes and Fours", + "Category Quadruple Ones and Twos", + + "Category Micro Straight", + "Category Three Odds", + "Category 1-2-1 Consecutive", + "Category Three Distinct Dice", + "Category Two Pair", + "Category 2-1-2 Consecutive", + "Category Five Distinct Dice", + "Category 4&5 Full House" + } } \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index e6f678c8941e..1f9f03e27d82 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,5 +1,5 @@ from BaseClasses import Region, Entrance, Item, Tutorial -from .Items import YachtDiceItem, item_table +from .Items import ITEM_GROUPS, YachtDiceItem, item_table from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions from .Rules import set_yacht_rules, set_yacht_completion_rules @@ -37,6 +37,8 @@ class YachtDiceWorld(World): item_name_to_id = {name: data.code for name, data in item_table.items()} location_name_to_id = {name: data.id for name, data in all_locations.items()} + + item_name_groups = ITEM_GROUPS ap_world_version = "1.0.1" From ae68fa010957632d53a682a81f5a1ccc28104626 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 24 May 2024 23:33:22 +0200 Subject: [PATCH 009/127] Extra categories are now working! :dog: --- worlds/yachtdice/Items.py | 6 --- worlds/yachtdice/Rules.py | 73 +++++++++++++++++--------------- worlds/yachtdice/YachtWeights.py | 2 +- worlds/yachtdice/__init__.py | 33 ++++++++------- 4 files changed, 57 insertions(+), 57 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 42ff772fb7df..e2c2de30ba9a 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -71,12 +71,6 @@ class YachtDiceItem(Item): } ITEM_GROUPS = { - "Rolls": { - "Roll", "Roll Fragment" - }, - "Dice": { - "Dice", "Dice Fragment" - }, "Categories": { "Category Ones", "Category Twos", diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 9ce12271a40f..44f7cf0f448b 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -50,40 +50,45 @@ def extractProgression(state, player, options): score_mult = 0.01 * number_of_mults categories = [] - - if state.has("Category Choice", player, 1): - categories.append(Category("Choice")) - if state.has("Category Inverse Choice", player, 1): - categories.append(Category("Choice")) - if state.has("Category Sixes", player, 1): - categories.append(Category("Sixes")) - if state.has("Category Fives", player, 1): - categories.append(Category("Fives")) - if state.has("Category Tiny Straight", player, 1): - categories.append(Category("TinyStraight")) - if state.has("Category Threes", player, 1): - categories.append(Category("Threes")) - if state.has("Category Fours", player, 1): - categories.append(Category("Fours")) - if state.has("Category Pair", player, 1): - categories.append(Category("Pair")) - if state.has("Category Three of a Kind", player, 1): - categories.append(Category("ThreeOfAKind")) - if state.has("Category Four of a Kind", player, 1): - categories.append(Category("FourOfAKind")) - if state.has("Category Ones", player, 1): - categories.append(Category("Ones")) - if state.has("Category Twos", player, 1): - categories.append(Category("Twos")) - if state.has("Category Small Straight", player, 1): - categories.append(Category("SmallStraight")) - if state.has("Category Large Straight", player, 1): - categories.append(Category("LargeStraight")) - if state.has("Category Full House", player, 1): - categories.append(Category("FullHouse")) - if state.has("Category Yacht", player, 1): - categories.append(Category("Yacht")) - + + category_mappings = { + "Category Ones": "Ones", + "Category Twos": "Twos", + "Category Threes": "Threes", + "Category Fours": "Fours", + "Category Fives": "Fives", + "Category Sixes": "Sixes", + "Category Choice": "Choice", + "Category Inverse Choice": "Choice", + "Category Pair": "Pair", + "Category Three of a Kind": "ThreeOfAKind", + "Category Four of a Kind": "FourOfAKind", + "Category Tiny Straight": "TinyStraight", + "Category Small Straight": "SmallStraight", + "Category Large Straight": "LargeStraight", + "Category Full House": "FullHouse", + "Category Yacht": "Yacht", + "Category Distincts": "Distincts", + "Category Two times Ones": "TwoTimesOnes", + "Category Half of Sixes": "HalfOfSixes", + "Category Twos and Threes": "TwosAndThrees", + "Category Sum of Odds": "SumOfOdds", + "Category Sum of Evens": "SumOfEvens", + "Category Double Threes and Fours": "DoubleThreesAndFours", + "Category Quadruple Ones and Twos": "QuadrupleOnesAndTwos", + "Category Micro Straight": "MicroStraight", + "Category Three Odds": "ThreeOdds", + "Category 1-2-1 Consecutive": "OneTwoOneConsecutive", + "Category Three Distinct Dice": "ThreeDistinctDice", + "Category Two Pair": "TwoPair", + "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", + "Category Five Distinct Dice": "FiveDistinctDice", + "Category 4&5 Full House": "FourAndFiveFullHouse" + } + + for category_name, category_value in category_mappings.items(): + if state.has(category_name, player, 1): + categories.append(Category(category_value)) extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 44403d1dd685..88d5cca5920f 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -5,4 +5,4 @@ #example: ("Choice", 2, 2): {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} #this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. #13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("Twos", 0, 0): {0: 100000}, ("Twos", 0, 1): {0: 100000}, ("Twos", 0, 2): {0: 100000}, ("Twos", 0, 3): {0: 100000}, ("Twos", 0, 4): {0: 100000}, ("Twos", 0, 5): {0: 100000}, ("Twos", 0, 6): {0: 100000}, ("Twos", 0, 7): {0: 100000}, ("Twos", 0, 8): {0: 100000}, ("Twos", 1, 0): {0: 100000}, ("Twos", 1, 1): {0: 83475, 2: 16525}, ("Twos", 1, 2): {0: 69690, 2: 30310}, ("Twos", 1, 3): {0: 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("FullHouse", 4, 7): {0: 100000}, ("FullHouse", 4, 8): {0: 100000}, ("FullHouse", 5, 0): {0: 100000}, ("FullHouse", 5, 1): {0: 96155, 25: 3845}, ("FullHouse", 5, 2): {0: 81391, 25: 18609}, ("FullHouse", 5, 3): {25: 35700, 0: 64300}, ("FullHouse", 5, 4): {25: 50331, 0: 49669}, ("FullHouse", 5, 5): {25: 61981, 0: 38019}, ("FullHouse", 5, 6): {25: 70249, 0: 29751}, ("FullHouse", 5, 7): {25: 77040, 0: 22960}, ("FullHouse", 5, 8): {25: 81350, 0: 18650}, ("FullHouse", 6, 0): {0: 100000}, ("FullHouse", 6, 1): {25: 17011, 0: 82989}, ("FullHouse", 6, 2): {0: 47153, 25: 52847}, ("FullHouse", 6, 3): {25: 75849, 0: 24151}, ("FullHouse", 6, 4): {0: 12519, 25: 87481}, ("FullHouse", 6, 5): {25: 93476, 0: 6524}, ("FullHouse", 6, 6): {0: 3606, 25: 96394}, ("FullHouse", 6, 7): {25: 98041, 0: 1959}, ("FullHouse", 6, 8): {25: 98974, 0: 1026}, ("FullHouse", 7, 0): {0: 100000}, ("FullHouse", 7, 1): {0: 60232, 25: 39768}, ("FullHouse", 7, 2): {25: 81106, 0: 18894}, ("FullHouse", 7, 3): {25: 94318, 0: 5682}, 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{0: 98727, 50: 1273}, ("Yacht", 5, 3): {50: 4653, 0: 95347}, ("Yacht", 5, 4): {0: 89969, 50: 10031}, ("Yacht", 5, 5): {0: 83124, 50: 16876}, ("Yacht", 5, 6): {0: 75023, 50: 24977}, ("Yacht", 5, 7): {0: 67007, 50: 32993}, ("Yacht", 5, 8): {0: 58618, 50: 41382}, ("Yacht", 6, 0): {0: 100000}, ("Yacht", 6, 1): {0: 99571, 50: 429}, ("Yacht", 6, 2): {0: 94726, 50: 5274}, ("Yacht", 6, 3): {0: 84366, 50: 15634}, ("Yacht", 6, 4): {50: 29218, 0: 70782}, ("Yacht", 6, 5): {0: 56573, 50: 43427}, ("Yacht", 6, 6): {50: 55794, 0: 44206}, ("Yacht", 6, 7): {50: 66422, 0: 33578}, ("Yacht", 6, 8): {0: 25079, 50: 74921}, ("Yacht", 7, 0): {0: 100000}, ("Yacht", 7, 1): {0: 98833, 50: 1167}, ("Yacht", 7, 2): {0: 87511, 50: 12489}, ("Yacht", 7, 3): {0: 68252, 50: 31748}, ("Yacht", 7, 4): {0: 49065, 50: 50935}, ("Yacht", 7, 5): {0: 33364, 50: 66636}, ("Yacht", 7, 6): {50: 78517, 0: 21483}, ("Yacht", 7, 7): {50: 86403, 0: 13597}, ("Yacht", 7, 8): {50: 91517, 0: 8483}, ("Yacht", 8, 0): {0: 100000}, ("Yacht", 8, 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('Distincts', 1, 2): {1: 100000}, ('TwoTimesOnes', 1, 2): {1.5: 100000}, ('HalfOfSixes', 1, 2): {2.5: 100000}, ('TwosAndThrees', 1, 2): {2.5: 100000}, ('SumOfOdds', 1, 2): {3.0: 100000}, ('SumOfEvens', 1, 2): {4.0: 100000}, ('DoubleThreesAndFours', 1, 2): {5.0: 100000}, ('QuadrupleOnesAndTwos', 1, 2): {5.0: 100000}, ('MicroStraight', 1, 2): {10: 0, 0: 100000}, ('ThreeOdds', 1, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 2): {20: 0, 0: 100000}, ('TwoPair', 1, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 2): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 2): {50: 0, 0: 100000}, ('Distincts', 1, 3): {1: 100000}, ('TwoTimesOnes', 1, 3): {1.6666666666666667: 100000}, ('HalfOfSixes', 1, 3): {2.6666666666666665: 100000}, ('TwosAndThrees', 1, 3): {2.6666666666666665: 100000}, ('SumOfOdds', 1, 3): {3.3333333333333335: 100000}, ('SumOfEvens', 1, 3): {4.333333333333333: 100000}, ('DoubleThreesAndFours', 1, 3): {5.333333333333333: 100000}, ('QuadrupleOnesAndTwos', 1, 3): {5.333333333333333: 100000}, ('MicroStraight', 1, 3): {10: 0, 0: 100000}, ('ThreeOdds', 1, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 3): {20: 0, 0: 100000}, ('TwoPair', 1, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 3): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 3): {50: 0, 0: 100000}, ('Distincts', 1, 4): {1: 100000}, ('TwoTimesOnes', 1, 4): {1.75: 100000}, ('HalfOfSixes', 1, 4): {2.75: 100000}, ('TwosAndThrees', 1, 4): {2.75: 100000}, ('SumOfOdds', 1, 4): {3.5: 100000}, ('SumOfEvens', 1, 4): {4.5: 100000}, ('DoubleThreesAndFours', 1, 4): {5.5: 100000}, ('QuadrupleOnesAndTwos', 1, 4): {5.5: 100000}, ('MicroStraight', 1, 4): {10: 0, 0: 100000}, ('ThreeOdds', 1, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 4): {20: 0, 0: 100000}, ('TwoPair', 1, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 4): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 4): {50: 0, 0: 100000}, ('Distincts', 1, 5): {1: 100000}, ('TwoTimesOnes', 1, 5): {1.8: 100000}, ('HalfOfSixes', 1, 5): {2.8: 100000}, ('TwosAndThrees', 1, 5): {2.8: 100000}, ('SumOfOdds', 1, 5): {3.6: 100000}, ('SumOfEvens', 1, 5): {4.6: 100000}, ('DoubleThreesAndFours', 1, 5): {5.6: 100000}, ('QuadrupleOnesAndTwos', 1, 5): {5.6: 100000}, ('MicroStraight', 1, 5): {10: 0, 0: 100000}, ('ThreeOdds', 1, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 5): {20: 0, 0: 100000}, ('TwoPair', 1, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 5): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 5): {50: 0, 0: 100000}, ('Distincts', 1, 6): {1: 100000}, ('TwoTimesOnes', 1, 6): {1.8333333333333333: 100000}, ('HalfOfSixes', 1, 6): {2.8333333333333335: 100000}, ('TwosAndThrees', 1, 6): {2.8333333333333335: 100000}, ('SumOfOdds', 1, 6): {3.6666666666666665: 100000}, ('SumOfEvens', 1, 6): {4.666666666666667: 100000}, ('DoubleThreesAndFours', 1, 6): {5.666666666666667: 100000}, ('QuadrupleOnesAndTwos', 1, 6): {5.666666666666667: 100000}, ('MicroStraight', 1, 6): {10: 0, 0: 100000}, ('ThreeOdds', 1, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 6): {20: 0, 0: 100000}, ('TwoPair', 1, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 6): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 6): {50: 0, 0: 100000}, ('Distincts', 1, 7): {1: 100000}, ('TwoTimesOnes', 1, 7): {1.8571428571428572: 100000}, ('HalfOfSixes', 1, 7): {2.857142857142857: 100000}, ('TwosAndThrees', 1, 7): {2.857142857142857: 100000}, ('SumOfOdds', 1, 7): {3.7142857142857144: 100000}, ('SumOfEvens', 1, 7): {4.714285714285714: 100000}, ('DoubleThreesAndFours', 1, 7): {5.714285714285714: 100000}, ('QuadrupleOnesAndTwos', 1, 7): {5.714285714285714: 100000}, ('MicroStraight', 1, 7): {10: 0, 0: 100000}, ('ThreeOdds', 1, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 7): {20: 0, 0: 100000}, ('TwoPair', 1, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 7): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 7): {50: 0, 0: 100000}, ('Distincts', 1, 8): {1: 100000}, ('TwoTimesOnes', 1, 8): {1.875: 100000}, ('HalfOfSixes', 1, 8): {2.875: 100000}, ('TwosAndThrees', 1, 8): {2.875: 100000}, ('SumOfOdds', 1, 8): {3.75: 100000}, ('SumOfEvens', 1, 8): {4.75: 100000}, ('DoubleThreesAndFours', 1, 8): {5.75: 100000}, ('QuadrupleOnesAndTwos', 1, 8): {5.75: 100000}, ('MicroStraight', 1, 8): {10: 0, 0: 100000}, ('ThreeOdds', 1, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 8): {20: 0, 0: 100000}, ('TwoPair', 1, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 8): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 1, 8): {50: 0, 0: 100000}, ('Distincts', 2, 1): {2: 100000}, ('TwoTimesOnes', 2, 1): {2.0: 100000}, ('HalfOfSixes', 2, 1): {4.0: 100000}, ('TwosAndThrees', 2, 1): {4.0: 100000}, ('SumOfOdds', 2, 1): {4.0: 100000}, ('SumOfEvens', 2, 1): {6.0: 100000}, ('DoubleThreesAndFours', 2, 1): {8.0: 100000}, ('QuadrupleOnesAndTwos', 2, 1): {8.0: 100000}, ('MicroStraight', 2, 1): {10: 0, 0: 100000}, ('ThreeOdds', 2, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 1): {20: 0, 0: 100000}, ('TwoPair', 2, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 1): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 1): {50: 0, 0: 100000}, ('Distincts', 2, 2): {2: 100000}, ('TwoTimesOnes', 2, 2): {3.0: 100000}, ('HalfOfSixes', 2, 2): {5.0: 100000}, ('TwosAndThrees', 2, 2): {5.0: 100000}, ('SumOfOdds', 2, 2): {6.0: 100000}, ('SumOfEvens', 2, 2): {8.0: 100000}, ('DoubleThreesAndFours', 2, 2): {10.0: 100000}, ('QuadrupleOnesAndTwos', 2, 2): {10.0: 100000}, ('MicroStraight', 2, 2): {10: 0, 0: 100000}, ('ThreeOdds', 2, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 2): {20: 0, 0: 100000}, ('TwoPair', 2, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 2): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 2): {50: 0, 0: 100000}, ('Distincts', 2, 3): {2: 100000}, ('TwoTimesOnes', 2, 3): {3.3333333333333335: 100000}, ('HalfOfSixes', 2, 3): {5.333333333333333: 100000}, ('TwosAndThrees', 2, 3): {5.333333333333333: 100000}, ('SumOfOdds', 2, 3): {6.666666666666667: 100000}, ('SumOfEvens', 2, 3): {8.666666666666666: 100000}, ('DoubleThreesAndFours', 2, 3): {10.666666666666666: 100000}, ('QuadrupleOnesAndTwos', 2, 3): {10.666666666666666: 100000}, ('MicroStraight', 2, 3): {10: 0, 0: 100000}, ('ThreeOdds', 2, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 3): {20: 0, 0: 100000}, ('TwoPair', 2, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 3): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 3): {50: 0, 0: 100000}, ('Distincts', 2, 4): {2: 100000}, ('TwoTimesOnes', 2, 4): {3.5: 100000}, ('HalfOfSixes', 2, 4): {5.5: 100000}, ('TwosAndThrees', 2, 4): {5.5: 100000}, ('SumOfOdds', 2, 4): {7.0: 100000}, ('SumOfEvens', 2, 4): {9.0: 100000}, ('DoubleThreesAndFours', 2, 4): {11.0: 100000}, ('QuadrupleOnesAndTwos', 2, 4): {11.0: 100000}, ('MicroStraight', 2, 4): {10: 0, 0: 100000}, ('ThreeOdds', 2, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 4): {20: 0, 0: 100000}, ('TwoPair', 2, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 4): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 4): {50: 0, 0: 100000}, ('Distincts', 2, 5): {2: 100000}, ('TwoTimesOnes', 2, 5): {3.6: 100000}, ('HalfOfSixes', 2, 5): {5.6: 100000}, ('TwosAndThrees', 2, 5): {5.6: 100000}, ('SumOfOdds', 2, 5): {7.2: 100000}, ('SumOfEvens', 2, 5): {9.2: 100000}, ('DoubleThreesAndFours', 2, 5): {11.2: 100000}, ('QuadrupleOnesAndTwos', 2, 5): {11.2: 100000}, ('MicroStraight', 2, 5): {10: 0, 0: 100000}, ('ThreeOdds', 2, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 5): {20: 0, 0: 100000}, ('TwoPair', 2, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 5): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 5): {50: 0, 0: 100000}, ('Distincts', 2, 6): {2: 100000}, ('TwoTimesOnes', 2, 6): {3.6666666666666665: 100000}, ('HalfOfSixes', 2, 6): {5.666666666666667: 100000}, ('TwosAndThrees', 2, 6): {5.666666666666667: 100000}, ('SumOfOdds', 2, 6): {7.333333333333333: 100000}, ('SumOfEvens', 2, 6): {9.333333333333334: 100000}, ('DoubleThreesAndFours', 2, 6): {11.333333333333334: 100000}, ('QuadrupleOnesAndTwos', 2, 6): {11.333333333333334: 100000}, ('MicroStraight', 2, 6): {10: 0, 0: 100000}, ('ThreeOdds', 2, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 6): {20: 0, 0: 100000}, ('TwoPair', 2, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 6): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 6): {50: 0, 0: 100000}, ('Distincts', 2, 7): {2: 100000}, ('TwoTimesOnes', 2, 7): {3.7142857142857144: 100000}, ('HalfOfSixes', 2, 7): {5.714285714285714: 100000}, ('TwosAndThrees', 2, 7): {5.714285714285714: 100000}, ('SumOfOdds', 2, 7): {7.428571428571429: 100000}, ('SumOfEvens', 2, 7): {9.428571428571429: 100000}, ('DoubleThreesAndFours', 2, 7): {11.428571428571429: 100000}, ('QuadrupleOnesAndTwos', 2, 7): {11.428571428571429: 100000}, ('MicroStraight', 2, 7): {10: 0, 0: 100000}, ('ThreeOdds', 2, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 7): {20: 0, 0: 100000}, ('TwoPair', 2, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 7): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 7): {50: 0, 0: 100000}, ('Distincts', 2, 8): {2: 100000}, ('TwoTimesOnes', 2, 8): {3.75: 100000}, ('HalfOfSixes', 2, 8): {5.75: 100000}, ('TwosAndThrees', 2, 8): {5.75: 100000}, ('SumOfOdds', 2, 8): {7.5: 100000}, ('SumOfEvens', 2, 8): {9.5: 100000}, ('DoubleThreesAndFours', 2, 8): {11.5: 100000}, ('QuadrupleOnesAndTwos', 2, 8): {11.5: 100000}, ('MicroStraight', 2, 8): {10: 0, 0: 100000}, ('ThreeOdds', 2, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 8): {20: 0, 0: 100000}, ('TwoPair', 2, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 8): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 2, 8): {50: 0, 0: 100000}, ('Distincts', 3, 1): {3: 100000}, ('TwoTimesOnes', 3, 1): {3.0: 100000}, ('HalfOfSixes', 3, 1): {6.0: 100000}, ('TwosAndThrees', 3, 1): {6.0: 100000}, ('SumOfOdds', 3, 1): {6.0: 100000}, ('SumOfEvens', 3, 1): {9.0: 100000}, ('DoubleThreesAndFours', 3, 1): {12.0: 100000}, ('QuadrupleOnesAndTwos', 3, 1): {12.0: 100000}, ('MicroStraight', 3, 1): {10: 0, 0: 100000}, ('ThreeOdds', 3, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 3, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 1): {20: 0, 0: 100000}, ('TwoPair', 3, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 1): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 1): {50: 0, 0: 100000}, ('Distincts', 3, 2): {3: 100000}, ('TwoTimesOnes', 3, 2): {4.5: 100000}, ('HalfOfSixes', 3, 2): {7.5: 100000}, ('TwosAndThrees', 3, 2): {7.5: 100000}, ('SumOfOdds', 3, 2): {9.0: 100000}, ('SumOfEvens', 3, 2): {12.0: 100000}, ('DoubleThreesAndFours', 3, 2): {15.0: 100000}, ('QuadrupleOnesAndTwos', 3, 2): {15.0: 100000}, ('MicroStraight', 3, 2): {10: 44999.99999999999, 0: 55000.00000000001}, ('ThreeOdds', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('OneTwoOneConsecutive', 3, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('TwoPair', 3, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 2): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 2): {50: 0, 0: 100000}, ('Distincts', 3, 3): {3: 100000}, ('TwoTimesOnes', 3, 3): {5.0: 100000}, ('HalfOfSixes', 3, 3): {8.0: 100000}, ('TwosAndThrees', 3, 3): {8.0: 100000}, ('SumOfOdds', 3, 3): {10.0: 100000}, ('SumOfEvens', 3, 3): {13.0: 100000}, ('DoubleThreesAndFours', 3, 3): {16.0: 100000}, ('QuadrupleOnesAndTwos', 3, 3): {16.0: 100000}, ('MicroStraight', 3, 3): {10: 63333.33333333333, 0: 36666.66666666667}, ('ThreeOdds', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('OneTwoOneConsecutive', 3, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('TwoPair', 3, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 3): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 3): {50: 0, 0: 100000}, ('Distincts', 3, 4): {3: 100000}, ('TwoTimesOnes', 3, 4): {5.25: 100000}, ('HalfOfSixes', 3, 4): {8.25: 100000}, ('TwosAndThrees', 3, 4): {8.25: 100000}, ('SumOfOdds', 3, 4): {10.5: 100000}, ('SumOfEvens', 3, 4): {13.5: 100000}, ('DoubleThreesAndFours', 3, 4): {16.5: 100000}, ('QuadrupleOnesAndTwos', 3, 4): {16.5: 100000}, ('MicroStraight', 3, 4): {10: 72500.0, 0: 27500.000000000004}, ('ThreeOdds', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('OneTwoOneConsecutive', 3, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('TwoPair', 3, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 4): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 4): {50: 0, 0: 100000}, ('Distincts', 3, 5): {3: 100000}, ('TwoTimesOnes', 3, 5): {5.4: 100000}, ('HalfOfSixes', 3, 5): {8.399999999999999: 100000}, ('TwosAndThrees', 3, 5): {8.399999999999999: 100000}, ('SumOfOdds', 3, 5): {10.8: 100000}, ('SumOfEvens', 3, 5): {13.799999999999999: 100000}, ('DoubleThreesAndFours', 3, 5): {16.799999999999997: 100000}, ('QuadrupleOnesAndTwos', 3, 5): {16.799999999999997: 100000}, ('MicroStraight', 3, 5): {10: 78000.0, 0: 21999.999999999996}, ('ThreeOdds', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('OneTwoOneConsecutive', 3, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('TwoPair', 3, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 5): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 5): {50: 0, 0: 100000}, ('Distincts', 3, 6): {3: 100000}, ('TwoTimesOnes', 3, 6): {5.5: 100000}, ('HalfOfSixes', 3, 6): {8.5: 100000}, ('TwosAndThrees', 3, 6): {8.5: 100000}, ('SumOfOdds', 3, 6): {11.0: 100000}, ('SumOfEvens', 3, 6): {14.0: 100000}, ('DoubleThreesAndFours', 3, 6): {17.0: 100000}, ('QuadrupleOnesAndTwos', 3, 6): {17.0: 100000}, ('MicroStraight', 3, 6): {10: 81666.66666666667, 0: 18333.333333333336}, ('ThreeOdds', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('OneTwoOneConsecutive', 3, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('TwoPair', 3, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 6): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 6): {50: 0, 0: 100000}, ('Distincts', 3, 7): {3: 100000}, ('TwoTimesOnes', 3, 7): {5.571428571428571: 100000}, ('HalfOfSixes', 3, 7): {8.571428571428571: 100000}, ('TwosAndThrees', 3, 7): {8.571428571428571: 100000}, ('SumOfOdds', 3, 7): {11.142857142857142: 100000}, ('SumOfEvens', 3, 7): {14.142857142857142: 100000}, ('DoubleThreesAndFours', 3, 7): {17.142857142857142: 100000}, ('QuadrupleOnesAndTwos', 3, 7): {17.142857142857142: 100000}, ('MicroStraight', 3, 7): {10: 84285.71428571429, 0: 15714.285714285714}, ('ThreeOdds', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('OneTwoOneConsecutive', 3, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('TwoPair', 3, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 7): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 7): {50: 0, 0: 100000}, ('Distincts', 3, 8): {3: 100000}, ('TwoTimesOnes', 3, 8): {5.625: 100000}, ('HalfOfSixes', 3, 8): {8.625: 100000}, ('TwosAndThrees', 3, 8): {8.625: 100000}, ('SumOfOdds', 3, 8): {11.25: 100000}, ('SumOfEvens', 3, 8): {14.25: 100000}, ('DoubleThreesAndFours', 3, 8): {17.25: 100000}, ('QuadrupleOnesAndTwos', 3, 8): {17.25: 100000}, ('MicroStraight', 3, 8): {10: 86250.0, 0: 13749.999999999996}, ('ThreeOdds', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('OneTwoOneConsecutive', 3, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('TwoPair', 3, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 8): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 3, 8): {50: 0, 0: 100000}, ('Distincts', 4, 1): {4: 100000}, ('TwoTimesOnes', 4, 1): {4.0: 100000}, ('HalfOfSixes', 4, 1): {8.0: 100000}, ('TwosAndThrees', 4, 1): {8.0: 100000}, ('SumOfOdds', 4, 1): {8.0: 100000}, ('SumOfEvens', 4, 1): {12.0: 100000}, ('DoubleThreesAndFours', 4, 1): {16.0: 100000}, ('QuadrupleOnesAndTwos', 4, 1): {16.0: 100000}, ('MicroStraight', 4, 1): {10: 89999.99999999999, 0: 10000.00000000001}, ('ThreeOdds', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('OneTwoOneConsecutive', 4, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('TwoPair', 4, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 1): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 1): {50: 0, 0: 100000}, ('Distincts', 4, 2): {4: 100000}, ('TwoTimesOnes', 4, 2): {6.0: 100000}, ('HalfOfSixes', 4, 2): {10.0: 100000}, ('TwosAndThrees', 4, 2): {10.0: 100000}, ('SumOfOdds', 4, 2): {12.0: 100000}, ('SumOfEvens', 4, 2): {16.0: 100000}, ('DoubleThreesAndFours', 4, 2): {20.0: 100000}, ('QuadrupleOnesAndTwos', 4, 2): {20.0: 100000}, ('MicroStraight', 4, 2): {10: 100000, 0: 0}, ('ThreeOdds', 4, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 2): {30: 40000.0, 0: 60000.0}, ('ThreeDistinctDice', 4, 2): {20: 100000, 0: 0}, ('TwoPair', 4, 2): {30: 50000.0, 0: 50000.0}, ('TwoOneTwoConsecutive', 4, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 2): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 2): {50: 0, 0: 100000}, ('Distincts', 4, 3): {4: 100000}, ('TwoTimesOnes', 4, 3): {6.666666666666667: 100000}, ('HalfOfSixes', 4, 3): {10.666666666666666: 100000}, ('TwosAndThrees', 4, 3): {10.666666666666666: 100000}, ('SumOfOdds', 4, 3): {13.333333333333334: 100000}, ('SumOfEvens', 4, 3): {17.333333333333332: 100000}, ('DoubleThreesAndFours', 4, 3): {21.333333333333332: 100000}, ('QuadrupleOnesAndTwos', 4, 3): {21.333333333333332: 100000}, ('MicroStraight', 4, 3): {10: 100000, 0: 0}, ('ThreeOdds', 4, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 3): {30: 60000.00000000001, 0: 39999.99999999999}, ('ThreeDistinctDice', 4, 3): {20: 100000, 0: 0}, ('TwoPair', 4, 3): {30: 66666.66666666667, 0: 33333.33333333333}, ('TwoOneTwoConsecutive', 4, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 3): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 3): {50: 0, 0: 100000}, ('Distincts', 4, 4): {4: 100000}, ('TwoTimesOnes', 4, 4): {7.0: 100000}, ('HalfOfSixes', 4, 4): {11.0: 100000}, ('TwosAndThrees', 4, 4): {11.0: 100000}, ('SumOfOdds', 4, 4): {14.0: 100000}, ('SumOfEvens', 4, 4): {18.0: 100000}, ('DoubleThreesAndFours', 4, 4): {22.0: 100000}, ('QuadrupleOnesAndTwos', 4, 4): {22.0: 100000}, ('MicroStraight', 4, 4): {10: 100000, 0: 0}, ('ThreeOdds', 4, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 4): {30: 70000.0, 0: 30000.000000000004}, ('ThreeDistinctDice', 4, 4): {20: 100000, 0: 0}, ('TwoPair', 4, 4): {30: 75000.0, 0: 25000.0}, ('TwoOneTwoConsecutive', 4, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 4): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 4): {50: 0, 0: 100000}, ('Distincts', 4, 5): {4: 100000}, ('TwoTimesOnes', 4, 5): {7.2: 100000}, ('HalfOfSixes', 4, 5): {11.2: 100000}, ('TwosAndThrees', 4, 5): {11.2: 100000}, ('SumOfOdds', 4, 5): {14.4: 100000}, ('SumOfEvens', 4, 5): {18.4: 100000}, ('DoubleThreesAndFours', 4, 5): {22.4: 100000}, ('QuadrupleOnesAndTwos', 4, 5): {22.4: 100000}, ('MicroStraight', 4, 5): {10: 100000, 0: 0}, ('ThreeOdds', 4, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 5): {30: 76000.0, 0: 24000.0}, ('ThreeDistinctDice', 4, 5): {20: 100000, 0: 0}, ('TwoPair', 4, 5): {30: 80000.0, 0: 19999.999999999996}, ('TwoOneTwoConsecutive', 4, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 5): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 5): {50: 0, 0: 100000}, ('Distincts', 4, 6): {4: 100000}, ('TwoTimesOnes', 4, 6): {7.333333333333333: 100000}, ('HalfOfSixes', 4, 6): {11.333333333333334: 100000}, ('TwosAndThrees', 4, 6): {11.333333333333334: 100000}, ('SumOfOdds', 4, 6): {14.666666666666666: 100000}, ('SumOfEvens', 4, 6): {18.666666666666668: 100000}, ('DoubleThreesAndFours', 4, 6): {22.666666666666668: 100000}, ('QuadrupleOnesAndTwos', 4, 6): {22.666666666666668: 100000}, ('MicroStraight', 4, 6): {10: 100000, 0: 0}, ('ThreeOdds', 4, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 6): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 4, 6): {20: 100000, 0: 0}, ('TwoPair', 4, 6): {30: 83333.33333333334, 0: 16666.666666666664}, ('TwoOneTwoConsecutive', 4, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 6): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 6): {50: 0, 0: 100000}, ('Distincts', 4, 7): {4: 100000}, ('TwoTimesOnes', 4, 7): {7.428571428571429: 100000}, ('HalfOfSixes', 4, 7): {11.428571428571429: 100000}, ('TwosAndThrees', 4, 7): {11.428571428571429: 100000}, ('SumOfOdds', 4, 7): {14.857142857142858: 100000}, ('SumOfEvens', 4, 7): {18.857142857142858: 100000}, ('DoubleThreesAndFours', 4, 7): {22.857142857142858: 100000}, ('QuadrupleOnesAndTwos', 4, 7): {22.857142857142858: 100000}, ('MicroStraight', 4, 7): {10: 100000, 0: 0}, ('ThreeOdds', 4, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 7): {30: 82857.14285714286, 0: 17142.85714285715}, ('ThreeDistinctDice', 4, 7): {20: 100000, 0: 0}, ('TwoPair', 4, 7): {30: 85714.28571428572, 0: 14285.714285714279}, ('TwoOneTwoConsecutive', 4, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 7): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 7): {50: 0, 0: 100000}, ('Distincts', 4, 8): {4: 100000}, ('TwoTimesOnes', 4, 8): {7.5: 100000}, ('HalfOfSixes', 4, 8): {11.5: 100000}, ('TwosAndThrees', 4, 8): {11.5: 100000}, ('SumOfOdds', 4, 8): {15.0: 100000}, ('SumOfEvens', 4, 8): {19.0: 100000}, ('DoubleThreesAndFours', 4, 8): {23.0: 100000}, ('QuadrupleOnesAndTwos', 4, 8): {23.0: 100000}, ('MicroStraight', 4, 8): {10: 100000, 0: 0}, ('ThreeOdds', 4, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 8): {30: 85000.0, 0: 15000.000000000002}, ('ThreeDistinctDice', 4, 8): {20: 100000, 0: 0}, ('TwoPair', 4, 8): {30: 87500.0, 0: 12500.0}, ('TwoOneTwoConsecutive', 4, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 8): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 4, 8): {50: 0, 0: 100000}, ('Distincts', 5, 1): {5: 100000}, ('TwoTimesOnes', 5, 1): {5.0: 100000}, ('HalfOfSixes', 5, 1): {10.0: 100000}, ('TwosAndThrees', 5, 1): {10.0: 100000}, ('SumOfOdds', 5, 1): {10.0: 100000}, ('SumOfEvens', 5, 1): {15.0: 100000}, ('DoubleThreesAndFours', 5, 1): {20.0: 100000}, ('QuadrupleOnesAndTwos', 5, 1): {20.0: 100000}, ('MicroStraight', 5, 1): {10: 100000, 0: 0}, ('ThreeOdds', 5, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 1): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 5, 1): {20: 100000, 0: 0}, ('TwoPair', 5, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 5, 1): {25: 0, 0: 100000}, ('OneAndSixFullHouse', 5, 1): {50: 0, 0: 100000}, ('Distincts', 5, 2): {5: 100000}, ('TwoTimesOnes', 5, 2): {7.5: 100000}, ('HalfOfSixes', 5, 2): {12.5: 100000}, ('TwosAndThrees', 5, 2): {12.5: 100000}, ('SumOfOdds', 5, 2): {15.0: 100000}, ('SumOfEvens', 5, 2): {20.0: 100000}, ('DoubleThreesAndFours', 5, 2): {25.0: 100000}, ('QuadrupleOnesAndTwos', 5, 2): {25.0: 100000}, ('MicroStraight', 5, 2): {10: 100000, 0: 0}, ('ThreeOdds', 5, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 2): {20: 100000, 0: 0}, ('TwoPair', 5, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 2): {40: 35000.0, 0: 65000.0}, ('FiveDistinctDice', 5, 2): {25: 25000.0, 0: 75000.0}, ('OneAndSixFullHouse', 5, 2): {50: 0, 0: 100000}, ('Distincts', 5, 3): {5: 100000}, ('TwoTimesOnes', 5, 3): {8.333333333333334: 100000}, ('HalfOfSixes', 5, 3): {13.333333333333332: 100000}, ('TwosAndThrees', 5, 3): {13.333333333333332: 100000}, ('SumOfOdds', 5, 3): {16.666666666666668: 100000}, ('SumOfEvens', 5, 3): {21.666666666666664: 100000}, ('DoubleThreesAndFours', 5, 3): {26.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 5, 3): {26.666666666666664: 100000}, ('MicroStraight', 5, 3): {10: 100000, 0: 0}, ('ThreeOdds', 5, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 3): {20: 100000, 0: 0}, ('TwoPair', 5, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 3): {40: 56666.666666666664, 0: 43333.333333333336}, ('FiveDistinctDice', 5, 3): {25: 50000.0, 0: 50000.0}, ('OneAndSixFullHouse', 5, 3): {50: 33333.333333333336, 0: 66666.66666666666}, ('Distincts', 5, 4): {5: 100000}, ('TwoTimesOnes', 5, 4): {8.75: 100000}, ('HalfOfSixes', 5, 4): {13.75: 100000}, ('TwosAndThrees', 5, 4): {13.75: 100000}, ('SumOfOdds', 5, 4): {17.5: 100000}, ('SumOfEvens', 5, 4): {22.5: 100000}, ('DoubleThreesAndFours', 5, 4): {27.5: 100000}, ('QuadrupleOnesAndTwos', 5, 4): {27.5: 100000}, ('MicroStraight', 5, 4): {10: 100000, 0: 0}, ('ThreeOdds', 5, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 4): {20: 100000, 0: 0}, ('TwoPair', 5, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 4): {40: 67500.0, 0: 32499.999999999996}, ('FiveDistinctDice', 5, 4): {25: 62500.0, 0: 37500.0}, ('OneAndSixFullHouse', 5, 4): {50: 50000.0, 0: 50000.0}, ('Distincts', 5, 5): {5: 100000}, ('TwoTimesOnes', 5, 5): {9.0: 100000}, ('HalfOfSixes', 5, 5): {14.0: 100000}, ('TwosAndThrees', 5, 5): {14.0: 100000}, ('SumOfOdds', 5, 5): {18.0: 100000}, ('SumOfEvens', 5, 5): {23.0: 100000}, ('DoubleThreesAndFours', 5, 5): {28.0: 100000}, ('QuadrupleOnesAndTwos', 5, 5): {28.0: 100000}, ('MicroStraight', 5, 5): {10: 100000, 0: 0}, ('ThreeOdds', 5, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 5): {20: 100000, 0: 0}, ('TwoPair', 5, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 5): {40: 74000.0, 0: 26000.0}, ('FiveDistinctDice', 5, 5): {25: 70000.0, 0: 30000.000000000004}, ('OneAndSixFullHouse', 5, 5): {50: 60000.0, 0: 40000.0}, ('Distincts', 5, 6): {5: 100000}, ('TwoTimesOnes', 5, 6): {9.166666666666666: 100000}, ('HalfOfSixes', 5, 6): {14.166666666666668: 100000}, ('TwosAndThrees', 5, 6): {14.166666666666668: 100000}, ('SumOfOdds', 5, 6): {18.333333333333332: 100000}, ('SumOfEvens', 5, 6): {23.333333333333336: 100000}, ('DoubleThreesAndFours', 5, 6): {28.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 5, 6): {28.333333333333336: 100000}, ('MicroStraight', 5, 6): {10: 100000, 0: 0}, ('ThreeOdds', 5, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 6): {20: 100000, 0: 0}, ('TwoPair', 5, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 6): {40: 78333.33333333333, 0: 21666.666666666668}, ('FiveDistinctDice', 5, 6): {25: 75000.0, 0: 25000.0}, ('OneAndSixFullHouse', 5, 6): {50: 66666.66666666667, 0: 33333.33333333333}, ('Distincts', 5, 7): {5: 100000}, ('TwoTimesOnes', 5, 7): {9.285714285714286: 100000}, ('HalfOfSixes', 5, 7): {14.285714285714286: 100000}, ('TwosAndThrees', 5, 7): {14.285714285714286: 100000}, ('SumOfOdds', 5, 7): {18.571428571428573: 100000}, ('SumOfEvens', 5, 7): {23.571428571428573: 100000}, ('DoubleThreesAndFours', 5, 7): {28.571428571428573: 100000}, ('QuadrupleOnesAndTwos', 5, 7): {28.571428571428573: 100000}, ('MicroStraight', 5, 7): {10: 100000, 0: 0}, ('ThreeOdds', 5, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 7): {20: 100000, 0: 0}, ('TwoPair', 5, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 7): {40: 81428.57142857143, 0: 18571.428571428572}, ('FiveDistinctDice', 5, 7): {25: 78571.42857142857, 0: 21428.57142857143}, ('OneAndSixFullHouse', 5, 7): {50: 71428.57142857143, 0: 28571.42857142857}, ('Distincts', 5, 8): {5: 100000}, ('TwoTimesOnes', 5, 8): {9.375: 100000}, ('HalfOfSixes', 5, 8): {14.375: 100000}, ('TwosAndThrees', 5, 8): {14.375: 100000}, ('SumOfOdds', 5, 8): {18.75: 100000}, ('SumOfEvens', 5, 8): {23.75: 100000}, ('DoubleThreesAndFours', 5, 8): {28.75: 100000}, ('QuadrupleOnesAndTwos', 5, 8): {28.75: 100000}, ('MicroStraight', 5, 8): {10: 100000, 0: 0}, ('ThreeOdds', 5, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 8): {20: 100000, 0: 0}, ('TwoPair', 5, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 8): {40: 83750.0, 0: 16249.999999999998}, ('FiveDistinctDice', 5, 8): {25: 81250.0, 0: 18750.0}, ('OneAndSixFullHouse', 5, 8): {50: 75000.0, 0: 25000.0}, ('Distincts', 6, 1): {6: 100000}, ('TwoTimesOnes', 6, 1): {6.0: 100000}, ('HalfOfSixes', 6, 1): {12.0: 100000}, ('TwosAndThrees', 6, 1): {12.0: 100000}, ('SumOfOdds', 6, 1): {12.0: 100000}, ('SumOfEvens', 6, 1): {18.0: 100000}, ('DoubleThreesAndFours', 6, 1): {24.0: 100000}, ('QuadrupleOnesAndTwos', 6, 1): {24.0: 100000}, ('MicroStraight', 6, 1): {10: 100000, 0: 0}, ('ThreeOdds', 6, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 1): {20: 100000, 0: 0}, ('TwoPair', 6, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 1): {40: 70000.0, 0: 30000.000000000004}, ('FiveDistinctDice', 6, 1): {25: 50000.0, 0: 50000.0}, ('OneAndSixFullHouse', 6, 1): {50: 0, 0: 100000}, ('Distincts', 6, 2): {6: 100000}, ('TwoTimesOnes', 6, 2): {9.0: 100000}, ('HalfOfSixes', 6, 2): {15.0: 100000}, ('TwosAndThrees', 6, 2): {15.0: 100000}, ('SumOfOdds', 6, 2): {18.0: 100000}, ('SumOfEvens', 6, 2): {24.0: 100000}, ('DoubleThreesAndFours', 6, 2): {30.0: 100000}, ('QuadrupleOnesAndTwos', 6, 2): {30.0: 100000}, ('MicroStraight', 6, 2): {10: 100000, 0: 0}, ('ThreeOdds', 6, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 2): {20: 100000, 0: 0}, ('TwoPair', 6, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 2): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 2): {50: 100000, 0: 0}, ('Distincts', 6, 3): {6: 100000}, ('TwoTimesOnes', 6, 3): {10.0: 100000}, ('HalfOfSixes', 6, 3): {16.0: 100000}, ('TwosAndThrees', 6, 3): {16.0: 100000}, ('SumOfOdds', 6, 3): {20.0: 100000}, ('SumOfEvens', 6, 3): {26.0: 100000}, ('DoubleThreesAndFours', 6, 3): {32.0: 100000}, ('QuadrupleOnesAndTwos', 6, 3): {32.0: 100000}, ('MicroStraight', 6, 3): {10: 100000, 0: 0}, ('ThreeOdds', 6, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 3): {20: 100000, 0: 0}, ('TwoPair', 6, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 3): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 3): {50: 100000, 0: 0}, ('Distincts', 6, 4): {6: 100000}, ('TwoTimesOnes', 6, 4): {10.5: 100000}, ('HalfOfSixes', 6, 4): {16.5: 100000}, ('TwosAndThrees', 6, 4): {16.5: 100000}, ('SumOfOdds', 6, 4): {21.0: 100000}, ('SumOfEvens', 6, 4): {27.0: 100000}, ('DoubleThreesAndFours', 6, 4): {33.0: 100000}, ('QuadrupleOnesAndTwos', 6, 4): {33.0: 100000}, ('MicroStraight', 6, 4): {10: 100000, 0: 0}, ('ThreeOdds', 6, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 4): {20: 100000, 0: 0}, ('TwoPair', 6, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 4): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 4): {50: 100000, 0: 0}, ('Distincts', 6, 5): {6: 100000}, ('TwoTimesOnes', 6, 5): {10.8: 100000}, ('HalfOfSixes', 6, 5): {16.799999999999997: 100000}, ('TwosAndThrees', 6, 5): {16.799999999999997: 100000}, ('SumOfOdds', 6, 5): {21.6: 100000}, ('SumOfEvens', 6, 5): {27.599999999999998: 100000}, ('DoubleThreesAndFours', 6, 5): {33.599999999999994: 100000}, ('QuadrupleOnesAndTwos', 6, 5): {33.599999999999994: 100000}, ('MicroStraight', 6, 5): {10: 100000, 0: 0}, ('ThreeOdds', 6, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 5): {20: 100000, 0: 0}, ('TwoPair', 6, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 5): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 5): {50: 100000, 0: 0}, ('Distincts', 6, 6): {6: 100000}, ('TwoTimesOnes', 6, 6): {11.0: 100000}, ('HalfOfSixes', 6, 6): {17.0: 100000}, ('TwosAndThrees', 6, 6): {17.0: 100000}, ('SumOfOdds', 6, 6): {22.0: 100000}, ('SumOfEvens', 6, 6): {28.0: 100000}, ('DoubleThreesAndFours', 6, 6): {34.0: 100000}, ('QuadrupleOnesAndTwos', 6, 6): {34.0: 100000}, ('MicroStraight', 6, 6): {10: 100000, 0: 0}, ('ThreeOdds', 6, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 6): {20: 100000, 0: 0}, ('TwoPair', 6, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 6): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 6): {50: 100000, 0: 0}, ('Distincts', 6, 7): {6: 100000}, ('TwoTimesOnes', 6, 7): {11.142857142857142: 100000}, ('HalfOfSixes', 6, 7): {17.142857142857142: 100000}, ('TwosAndThrees', 6, 7): {17.142857142857142: 100000}, ('SumOfOdds', 6, 7): {22.285714285714285: 100000}, ('SumOfEvens', 6, 7): {28.285714285714285: 100000}, ('DoubleThreesAndFours', 6, 7): {34.285714285714285: 100000}, ('QuadrupleOnesAndTwos', 6, 7): {34.285714285714285: 100000}, ('MicroStraight', 6, 7): {10: 100000, 0: 0}, ('ThreeOdds', 6, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 7): {20: 100000, 0: 0}, ('TwoPair', 6, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 7): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 7): {50: 100000, 0: 0}, ('Distincts', 6, 8): {6: 100000}, ('TwoTimesOnes', 6, 8): {11.25: 100000}, ('HalfOfSixes', 6, 8): {17.25: 100000}, ('TwosAndThrees', 6, 8): {17.25: 100000}, ('SumOfOdds', 6, 8): {22.5: 100000}, ('SumOfEvens', 6, 8): {28.5: 100000}, ('DoubleThreesAndFours', 6, 8): {34.5: 100000}, ('QuadrupleOnesAndTwos', 6, 8): {34.5: 100000}, ('MicroStraight', 6, 8): {10: 100000, 0: 0}, ('ThreeOdds', 6, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 8): {20: 100000, 0: 0}, ('TwoPair', 6, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 8): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 6, 8): {50: 100000, 0: 0}, ('Distincts', 7, 1): {7: 100000}, ('TwoTimesOnes', 7, 1): {7.0: 100000}, ('HalfOfSixes', 7, 1): {14.0: 100000}, ('TwosAndThrees', 7, 1): {14.0: 100000}, ('SumOfOdds', 7, 1): {14.0: 100000}, ('SumOfEvens', 7, 1): {21.0: 100000}, ('DoubleThreesAndFours', 7, 1): {28.0: 100000}, ('QuadrupleOnesAndTwos', 7, 1): {28.0: 100000}, ('MicroStraight', 7, 1): {10: 100000, 0: 0}, ('ThreeOdds', 7, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 1): {20: 100000, 0: 0}, ('TwoPair', 7, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 1): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 1): {50: 100000, 0: 0}, ('Distincts', 7, 2): {7: 100000}, ('TwoTimesOnes', 7, 2): {10.5: 100000}, ('HalfOfSixes', 7, 2): {17.5: 100000}, ('TwosAndThrees', 7, 2): {17.5: 100000}, ('SumOfOdds', 7, 2): {21.0: 100000}, ('SumOfEvens', 7, 2): {28.0: 100000}, ('DoubleThreesAndFours', 7, 2): {35.0: 100000}, ('QuadrupleOnesAndTwos', 7, 2): {35.0: 100000}, ('MicroStraight', 7, 2): {10: 100000, 0: 0}, ('ThreeOdds', 7, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 2): {20: 100000, 0: 0}, ('TwoPair', 7, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 2): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 2): {50: 100000, 0: 0}, ('Distincts', 7, 3): {7: 100000}, ('TwoTimesOnes', 7, 3): {11.666666666666668: 100000}, ('HalfOfSixes', 7, 3): {18.666666666666664: 100000}, ('TwosAndThrees', 7, 3): {18.666666666666664: 100000}, ('SumOfOdds', 7, 3): {23.333333333333336: 100000}, ('SumOfEvens', 7, 3): {30.333333333333332: 100000}, ('DoubleThreesAndFours', 7, 3): {37.33333333333333: 100000}, ('QuadrupleOnesAndTwos', 7, 3): {37.33333333333333: 100000}, ('MicroStraight', 7, 3): {10: 100000, 0: 0}, ('ThreeOdds', 7, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 3): {20: 100000, 0: 0}, ('TwoPair', 7, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 3): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 3): {50: 100000, 0: 0}, ('Distincts', 7, 4): {7: 100000}, ('TwoTimesOnes', 7, 4): {12.25: 100000}, ('HalfOfSixes', 7, 4): {19.25: 100000}, ('TwosAndThrees', 7, 4): {19.25: 100000}, ('SumOfOdds', 7, 4): {24.5: 100000}, ('SumOfEvens', 7, 4): {31.5: 100000}, ('DoubleThreesAndFours', 7, 4): {38.5: 100000}, ('QuadrupleOnesAndTwos', 7, 4): {38.5: 100000}, ('MicroStraight', 7, 4): {10: 100000, 0: 0}, ('ThreeOdds', 7, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 4): {20: 100000, 0: 0}, ('TwoPair', 7, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 4): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 4): {50: 100000, 0: 0}, ('Distincts', 7, 5): {7: 100000}, ('TwoTimesOnes', 7, 5): {12.6: 100000}, ('HalfOfSixes', 7, 5): {19.599999999999998: 100000}, ('TwosAndThrees', 7, 5): {19.599999999999998: 100000}, ('SumOfOdds', 7, 5): {25.2: 100000}, ('SumOfEvens', 7, 5): {32.199999999999996: 100000}, ('DoubleThreesAndFours', 7, 5): {39.199999999999996: 100000}, ('QuadrupleOnesAndTwos', 7, 5): {39.199999999999996: 100000}, ('MicroStraight', 7, 5): {10: 100000, 0: 0}, ('ThreeOdds', 7, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 5): {20: 100000, 0: 0}, ('TwoPair', 7, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 5): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 5): {50: 100000, 0: 0}, ('Distincts', 7, 6): {7: 100000}, ('TwoTimesOnes', 7, 6): {12.833333333333332: 100000}, ('HalfOfSixes', 7, 6): {19.833333333333336: 100000}, ('TwosAndThrees', 7, 6): {19.833333333333336: 100000}, ('SumOfOdds', 7, 6): {25.666666666666664: 100000}, ('SumOfEvens', 7, 6): {32.66666666666667: 100000}, ('DoubleThreesAndFours', 7, 6): {39.66666666666667: 100000}, ('QuadrupleOnesAndTwos', 7, 6): {39.66666666666667: 100000}, ('MicroStraight', 7, 6): {10: 100000, 0: 0}, ('ThreeOdds', 7, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 6): {20: 100000, 0: 0}, ('TwoPair', 7, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 6): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 6): {50: 100000, 0: 0}, ('Distincts', 7, 7): {7: 100000}, ('TwoTimesOnes', 7, 7): {13.0: 100000}, ('HalfOfSixes', 7, 7): {20.0: 100000}, ('TwosAndThrees', 7, 7): {20.0: 100000}, ('SumOfOdds', 7, 7): {26.0: 100000}, ('SumOfEvens', 7, 7): {33.0: 100000}, ('DoubleThreesAndFours', 7, 7): {40.0: 100000}, ('QuadrupleOnesAndTwos', 7, 7): {40.0: 100000}, ('MicroStraight', 7, 7): {10: 100000, 0: 0}, ('ThreeOdds', 7, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 7): {20: 100000, 0: 0}, ('TwoPair', 7, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 7): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 7): {50: 100000, 0: 0}, ('Distincts', 7, 8): {7: 100000}, ('TwoTimesOnes', 7, 8): {13.125: 100000}, ('HalfOfSixes', 7, 8): {20.125: 100000}, ('TwosAndThrees', 7, 8): {20.125: 100000}, ('SumOfOdds', 7, 8): {26.25: 100000}, ('SumOfEvens', 7, 8): {33.25: 100000}, ('DoubleThreesAndFours', 7, 8): {40.25: 100000}, ('QuadrupleOnesAndTwos', 7, 8): {40.25: 100000}, ('MicroStraight', 7, 8): {10: 100000, 0: 0}, ('ThreeOdds', 7, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 8): {20: 100000, 0: 0}, ('TwoPair', 7, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 8): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 7, 8): {50: 100000, 0: 0}, ('Distincts', 8, 1): {8: 100000}, ('TwoTimesOnes', 8, 1): {8.0: 100000}, ('HalfOfSixes', 8, 1): {16.0: 100000}, ('TwosAndThrees', 8, 1): {16.0: 100000}, ('SumOfOdds', 8, 1): {16.0: 100000}, ('SumOfEvens', 8, 1): {24.0: 100000}, ('DoubleThreesAndFours', 8, 1): {32.0: 100000}, ('QuadrupleOnesAndTwos', 8, 1): {32.0: 100000}, ('MicroStraight', 8, 1): {10: 100000, 0: 0}, ('ThreeOdds', 8, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 1): {20: 100000, 0: 0}, ('TwoPair', 8, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 1): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 1): {50: 100000, 0: 0}, ('Distincts', 8, 2): {8: 100000}, ('TwoTimesOnes', 8, 2): {12.0: 100000}, ('HalfOfSixes', 8, 2): {20.0: 100000}, ('TwosAndThrees', 8, 2): {20.0: 100000}, ('SumOfOdds', 8, 2): {24.0: 100000}, ('SumOfEvens', 8, 2): {32.0: 100000}, ('DoubleThreesAndFours', 8, 2): {40.0: 100000}, ('QuadrupleOnesAndTwos', 8, 2): {40.0: 100000}, ('MicroStraight', 8, 2): {10: 100000, 0: 0}, ('ThreeOdds', 8, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 2): {20: 100000, 0: 0}, ('TwoPair', 8, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 2): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 2): {50: 100000, 0: 0}, ('Distincts', 8, 3): {8: 100000}, ('TwoTimesOnes', 8, 3): {13.333333333333334: 100000}, ('HalfOfSixes', 8, 3): {21.333333333333332: 100000}, ('TwosAndThrees', 8, 3): {21.333333333333332: 100000}, ('SumOfOdds', 8, 3): {26.666666666666668: 100000}, ('SumOfEvens', 8, 3): {34.666666666666664: 100000}, ('DoubleThreesAndFours', 8, 3): {42.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 8, 3): {42.666666666666664: 100000}, ('MicroStraight', 8, 3): {10: 100000, 0: 0}, ('ThreeOdds', 8, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 3): {20: 100000, 0: 0}, ('TwoPair', 8, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 3): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 3): {50: 100000, 0: 0}, ('Distincts', 8, 4): {8: 100000}, ('TwoTimesOnes', 8, 4): {14.0: 100000}, ('HalfOfSixes', 8, 4): {22.0: 100000}, ('TwosAndThrees', 8, 4): {22.0: 100000}, ('SumOfOdds', 8, 4): {28.0: 100000}, ('SumOfEvens', 8, 4): {36.0: 100000}, ('DoubleThreesAndFours', 8, 4): {44.0: 100000}, ('QuadrupleOnesAndTwos', 8, 4): {44.0: 100000}, ('MicroStraight', 8, 4): {10: 100000, 0: 0}, ('ThreeOdds', 8, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 4): {20: 100000, 0: 0}, ('TwoPair', 8, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 4): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 4): {50: 100000, 0: 0}, ('Distincts', 8, 5): {8: 100000}, ('TwoTimesOnes', 8, 5): {14.4: 100000}, ('HalfOfSixes', 8, 5): {22.4: 100000}, ('TwosAndThrees', 8, 5): {22.4: 100000}, ('SumOfOdds', 8, 5): {28.8: 100000}, ('SumOfEvens', 8, 5): {36.8: 100000}, ('DoubleThreesAndFours', 8, 5): {44.8: 100000}, ('QuadrupleOnesAndTwos', 8, 5): {44.8: 100000}, ('MicroStraight', 8, 5): {10: 100000, 0: 0}, ('ThreeOdds', 8, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 5): {20: 100000, 0: 0}, ('TwoPair', 8, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 5): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 5): {50: 100000, 0: 0}, ('Distincts', 8, 6): {8: 100000}, ('TwoTimesOnes', 8, 6): {14.666666666666666: 100000}, ('HalfOfSixes', 8, 6): {22.666666666666668: 100000}, ('TwosAndThrees', 8, 6): {22.666666666666668: 100000}, ('SumOfOdds', 8, 6): {29.333333333333332: 100000}, ('SumOfEvens', 8, 6): {37.333333333333336: 100000}, ('DoubleThreesAndFours', 8, 6): {45.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 8, 6): {45.333333333333336: 100000}, ('MicroStraight', 8, 6): {10: 100000, 0: 0}, ('ThreeOdds', 8, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 6): {20: 100000, 0: 0}, ('TwoPair', 8, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 6): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 6): {50: 100000, 0: 0}, ('Distincts', 8, 7): {8: 100000}, ('TwoTimesOnes', 8, 7): {14.857142857142858: 100000}, ('HalfOfSixes', 8, 7): {22.857142857142858: 100000}, ('TwosAndThrees', 8, 7): {22.857142857142858: 100000}, ('SumOfOdds', 8, 7): {29.714285714285715: 100000}, ('SumOfEvens', 8, 7): {37.714285714285715: 100000}, ('DoubleThreesAndFours', 8, 7): {45.714285714285715: 100000}, ('QuadrupleOnesAndTwos', 8, 7): {45.714285714285715: 100000}, ('MicroStraight', 8, 7): {10: 100000, 0: 0}, ('ThreeOdds', 8, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 7): {20: 100000, 0: 0}, ('TwoPair', 8, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 7): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 7): {50: 100000, 0: 0}, ('Distincts', 8, 8): {8: 100000}, ('TwoTimesOnes', 8, 8): {15.0: 100000}, ('HalfOfSixes', 8, 8): {23.0: 100000}, ('TwosAndThrees', 8, 8): {23.0: 100000}, ('SumOfOdds', 8, 8): {30.0: 100000}, ('SumOfEvens', 8, 8): {38.0: 100000}, ('DoubleThreesAndFours', 8, 8): {46.0: 100000}, ('QuadrupleOnesAndTwos', 8, 8): {46.0: 100000}, ('MicroStraight', 8, 8): {10: 100000, 0: 0}, ('ThreeOdds', 8, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 8): {20: 100000, 0: 0}, ('TwoPair', 8, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 8): {25: 100000, 0: 0}, ('OneAndSixFullHouse', 8, 8): {50: 100000, 0: 0}} \ No newline at end of file +yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 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("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 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("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, ("Twos", 4, 0): {0: 100000}, ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, ("Twos", 5, 0): {0: 100000}, ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 2658}, ("Twos", 5, 5): {4: 23643, 8: 25853, 10: 7495, 6: 33993, 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("Yacht", 5, 4): {0: 89969, 50: 10031}, ("Yacht", 5, 5): {0: 83124, 50: 16876}, ("Yacht", 5, 6): {0: 75023, 50: 24977}, ("Yacht", 5, 7): {0: 67007, 50: 32993}, ("Yacht", 5, 8): {0: 58618, 50: 41382}, ("Yacht", 6, 0): {0: 100000}, ("Yacht", 6, 1): {0: 99571, 50: 429}, ("Yacht", 6, 2): {0: 94726, 50: 5274}, ("Yacht", 6, 3): {0: 84366, 50: 15634}, ("Yacht", 6, 4): {50: 29218, 0: 70782}, ("Yacht", 6, 5): {0: 56573, 50: 43427}, ("Yacht", 6, 6): {50: 55794, 0: 44206}, ("Yacht", 6, 7): {50: 66422, 0: 33578}, ("Yacht", 6, 8): {0: 25079, 50: 74921}, ("Yacht", 7, 0): {0: 100000}, ("Yacht", 7, 1): {0: 98833, 50: 1167}, ("Yacht", 7, 2): {0: 87511, 50: 12489}, ("Yacht", 7, 3): {0: 68252, 50: 31748}, ("Yacht", 7, 4): {0: 49065, 50: 50935}, ("Yacht", 7, 5): {0: 33364, 50: 66636}, ("Yacht", 7, 6): {50: 78517, 0: 21483}, ("Yacht", 7, 7): {50: 86403, 0: 13597}, ("Yacht", 7, 8): {50: 91517, 0: 8483}, ("Yacht", 8, 0): {0: 100000}, ("Yacht", 8, 1): {0: 97212, 50: 2788}, ("Yacht", 8, 2): {50: 23038, 0: 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{1.5: 100000}, ('HalfOfSixes', 1, 2): {2.5: 100000}, ('TwosAndThrees', 1, 2): {2.5: 100000}, ('SumOfOdds', 1, 2): {3.0: 100000}, ('SumOfEvens', 1, 2): {4.0: 100000}, ('DoubleThreesAndFours', 1, 2): {5.0: 100000}, ('QuadrupleOnesAndTwos', 1, 2): {5.0: 100000}, ('MicroStraight', 1, 2): {10: 0, 0: 100000}, ('ThreeOdds', 1, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 2): {20: 0, 0: 100000}, ('TwoPair', 1, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 2): {50: 0, 0: 100000}, ('Distincts', 1, 3): {1: 100000}, ('TwoTimesOnes', 1, 3): {1.6666666666666667: 100000}, ('HalfOfSixes', 1, 3): {2.6666666666666665: 100000}, ('TwosAndThrees', 1, 3): {2.6666666666666665: 100000}, ('SumOfOdds', 1, 3): {3.3333333333333335: 100000}, ('SumOfEvens', 1, 3): {4.333333333333333: 100000}, ('DoubleThreesAndFours', 1, 3): {5.333333333333333: 100000}, ('QuadrupleOnesAndTwos', 1, 3): {5.333333333333333: 100000}, ('MicroStraight', 1, 3): {10: 0, 0: 100000}, ('ThreeOdds', 1, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 3): {20: 0, 0: 100000}, ('TwoPair', 1, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 3): {50: 0, 0: 100000}, ('Distincts', 1, 4): {1: 100000}, ('TwoTimesOnes', 1, 4): {1.75: 100000}, ('HalfOfSixes', 1, 4): {2.75: 100000}, ('TwosAndThrees', 1, 4): {2.75: 100000}, ('SumOfOdds', 1, 4): {3.5: 100000}, ('SumOfEvens', 1, 4): {4.5: 100000}, ('DoubleThreesAndFours', 1, 4): {5.5: 100000}, ('QuadrupleOnesAndTwos', 1, 4): {5.5: 100000}, ('MicroStraight', 1, 4): {10: 0, 0: 100000}, ('ThreeOdds', 1, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 4): {20: 0, 0: 100000}, ('TwoPair', 1, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 4): {50: 0, 0: 100000}, ('Distincts', 1, 5): {1: 100000}, ('TwoTimesOnes', 1, 5): {1.8: 100000}, ('HalfOfSixes', 1, 5): {2.8: 100000}, ('TwosAndThrees', 1, 5): {2.8: 100000}, ('SumOfOdds', 1, 5): {3.6: 100000}, ('SumOfEvens', 1, 5): {4.6: 100000}, ('DoubleThreesAndFours', 1, 5): {5.6: 100000}, ('QuadrupleOnesAndTwos', 1, 5): {5.6: 100000}, ('MicroStraight', 1, 5): {10: 0, 0: 100000}, ('ThreeOdds', 1, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 5): {20: 0, 0: 100000}, ('TwoPair', 1, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 5): {50: 0, 0: 100000}, ('Distincts', 1, 6): {1: 100000}, ('TwoTimesOnes', 1, 6): {1.8333333333333333: 100000}, ('HalfOfSixes', 1, 6): {2.8333333333333335: 100000}, ('TwosAndThrees', 1, 6): {2.8333333333333335: 100000}, ('SumOfOdds', 1, 6): {3.6666666666666665: 100000}, ('SumOfEvens', 1, 6): {4.666666666666667: 100000}, ('DoubleThreesAndFours', 1, 6): {5.666666666666667: 100000}, ('QuadrupleOnesAndTwos', 1, 6): {5.666666666666667: 100000}, ('MicroStraight', 1, 6): {10: 0, 0: 100000}, ('ThreeOdds', 1, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 6): {20: 0, 0: 100000}, ('TwoPair', 1, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 6): {50: 0, 0: 100000}, ('Distincts', 1, 7): {1: 100000}, ('TwoTimesOnes', 1, 7): {1.8571428571428572: 100000}, ('HalfOfSixes', 1, 7): {2.857142857142857: 100000}, ('TwosAndThrees', 1, 7): {2.857142857142857: 100000}, ('SumOfOdds', 1, 7): {3.7142857142857144: 100000}, ('SumOfEvens', 1, 7): {4.714285714285714: 100000}, ('DoubleThreesAndFours', 1, 7): {5.714285714285714: 100000}, ('QuadrupleOnesAndTwos', 1, 7): {5.714285714285714: 100000}, ('MicroStraight', 1, 7): {10: 0, 0: 100000}, ('ThreeOdds', 1, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 7): {20: 0, 0: 100000}, ('TwoPair', 1, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 7): {50: 0, 0: 100000}, ('Distincts', 1, 8): {1: 100000}, ('TwoTimesOnes', 1, 8): {1.875: 100000}, ('HalfOfSixes', 1, 8): {2.875: 100000}, ('TwosAndThrees', 1, 8): {2.875: 100000}, ('SumOfOdds', 1, 8): {3.75: 100000}, ('SumOfEvens', 1, 8): {4.75: 100000}, ('DoubleThreesAndFours', 1, 8): {5.75: 100000}, ('QuadrupleOnesAndTwos', 1, 8): {5.75: 100000}, ('MicroStraight', 1, 8): {10: 0, 0: 100000}, ('ThreeOdds', 1, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 8): {20: 0, 0: 100000}, ('TwoPair', 1, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 8): {50: 0, 0: 100000}, ('Distincts', 2, 1): {2: 100000}, ('TwoTimesOnes', 2, 1): {2.0: 100000}, ('HalfOfSixes', 2, 1): {4.0: 100000}, ('TwosAndThrees', 2, 1): {4.0: 100000}, ('SumOfOdds', 2, 1): {4.0: 100000}, ('SumOfEvens', 2, 1): {6.0: 100000}, ('DoubleThreesAndFours', 2, 1): {8.0: 100000}, ('QuadrupleOnesAndTwos', 2, 1): {8.0: 100000}, ('MicroStraight', 2, 1): {10: 0, 0: 100000}, ('ThreeOdds', 2, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 1): {20: 0, 0: 100000}, ('TwoPair', 2, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 1): {50: 0, 0: 100000}, ('Distincts', 2, 2): {2: 100000}, ('TwoTimesOnes', 2, 2): {3.0: 100000}, ('HalfOfSixes', 2, 2): {5.0: 100000}, ('TwosAndThrees', 2, 2): {5.0: 100000}, ('SumOfOdds', 2, 2): {6.0: 100000}, ('SumOfEvens', 2, 2): {8.0: 100000}, ('DoubleThreesAndFours', 2, 2): {10.0: 100000}, ('QuadrupleOnesAndTwos', 2, 2): {10.0: 100000}, ('MicroStraight', 2, 2): {10: 0, 0: 100000}, ('ThreeOdds', 2, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 2): {20: 0, 0: 100000}, ('TwoPair', 2, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 2): {50: 0, 0: 100000}, ('Distincts', 2, 3): {2: 100000}, ('TwoTimesOnes', 2, 3): {3.3333333333333335: 100000}, ('HalfOfSixes', 2, 3): {5.333333333333333: 100000}, ('TwosAndThrees', 2, 3): {5.333333333333333: 100000}, ('SumOfOdds', 2, 3): {6.666666666666667: 100000}, ('SumOfEvens', 2, 3): {8.666666666666666: 100000}, ('DoubleThreesAndFours', 2, 3): {10.666666666666666: 100000}, ('QuadrupleOnesAndTwos', 2, 3): {10.666666666666666: 100000}, ('MicroStraight', 2, 3): {10: 0, 0: 100000}, ('ThreeOdds', 2, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 3): {20: 0, 0: 100000}, ('TwoPair', 2, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 3): {50: 0, 0: 100000}, ('Distincts', 2, 4): {2: 100000}, ('TwoTimesOnes', 2, 4): {3.5: 100000}, ('HalfOfSixes', 2, 4): {5.5: 100000}, ('TwosAndThrees', 2, 4): {5.5: 100000}, ('SumOfOdds', 2, 4): {7.0: 100000}, ('SumOfEvens', 2, 4): {9.0: 100000}, ('DoubleThreesAndFours', 2, 4): {11.0: 100000}, ('QuadrupleOnesAndTwos', 2, 4): {11.0: 100000}, ('MicroStraight', 2, 4): {10: 0, 0: 100000}, ('ThreeOdds', 2, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 4): {20: 0, 0: 100000}, ('TwoPair', 2, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 4): {50: 0, 0: 100000}, ('Distincts', 2, 5): {2: 100000}, ('TwoTimesOnes', 2, 5): {3.6: 100000}, ('HalfOfSixes', 2, 5): {5.6: 100000}, ('TwosAndThrees', 2, 5): {5.6: 100000}, ('SumOfOdds', 2, 5): {7.2: 100000}, ('SumOfEvens', 2, 5): {9.2: 100000}, ('DoubleThreesAndFours', 2, 5): {11.2: 100000}, ('QuadrupleOnesAndTwos', 2, 5): {11.2: 100000}, ('MicroStraight', 2, 5): {10: 0, 0: 100000}, ('ThreeOdds', 2, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 5): {20: 0, 0: 100000}, ('TwoPair', 2, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 5): {50: 0, 0: 100000}, ('Distincts', 2, 6): {2: 100000}, ('TwoTimesOnes', 2, 6): {3.6666666666666665: 100000}, ('HalfOfSixes', 2, 6): {5.666666666666667: 100000}, ('TwosAndThrees', 2, 6): {5.666666666666667: 100000}, ('SumOfOdds', 2, 6): {7.333333333333333: 100000}, ('SumOfEvens', 2, 6): {9.333333333333334: 100000}, ('DoubleThreesAndFours', 2, 6): {11.333333333333334: 100000}, ('QuadrupleOnesAndTwos', 2, 6): {11.333333333333334: 100000}, ('MicroStraight', 2, 6): {10: 0, 0: 100000}, ('ThreeOdds', 2, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 6): {20: 0, 0: 100000}, ('TwoPair', 2, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 6): {50: 0, 0: 100000}, ('Distincts', 2, 7): {2: 100000}, ('TwoTimesOnes', 2, 7): {3.7142857142857144: 100000}, ('HalfOfSixes', 2, 7): {5.714285714285714: 100000}, ('TwosAndThrees', 2, 7): {5.714285714285714: 100000}, ('SumOfOdds', 2, 7): {7.428571428571429: 100000}, ('SumOfEvens', 2, 7): {9.428571428571429: 100000}, ('DoubleThreesAndFours', 2, 7): {11.428571428571429: 100000}, ('QuadrupleOnesAndTwos', 2, 7): {11.428571428571429: 100000}, ('MicroStraight', 2, 7): {10: 0, 0: 100000}, ('ThreeOdds', 2, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 7): {20: 0, 0: 100000}, ('TwoPair', 2, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 7): {50: 0, 0: 100000}, ('Distincts', 2, 8): {2: 100000}, ('TwoTimesOnes', 2, 8): {3.75: 100000}, ('HalfOfSixes', 2, 8): {5.75: 100000}, ('TwosAndThrees', 2, 8): {5.75: 100000}, ('SumOfOdds', 2, 8): {7.5: 100000}, ('SumOfEvens', 2, 8): {9.5: 100000}, ('DoubleThreesAndFours', 2, 8): {11.5: 100000}, ('QuadrupleOnesAndTwos', 2, 8): {11.5: 100000}, ('MicroStraight', 2, 8): {10: 0, 0: 100000}, ('ThreeOdds', 2, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 8): {20: 0, 0: 100000}, ('TwoPair', 2, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 8): {50: 0, 0: 100000}, ('Distincts', 3, 1): {3: 100000}, ('TwoTimesOnes', 3, 1): {3.0: 100000}, ('HalfOfSixes', 3, 1): {6.0: 100000}, ('TwosAndThrees', 3, 1): {6.0: 100000}, ('SumOfOdds', 3, 1): {6.0: 100000}, ('SumOfEvens', 3, 1): {9.0: 100000}, ('DoubleThreesAndFours', 3, 1): {12.0: 100000}, ('QuadrupleOnesAndTwos', 3, 1): {12.0: 100000}, ('MicroStraight', 3, 1): {10: 0, 0: 100000}, ('ThreeOdds', 3, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 3, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 1): {20: 0, 0: 100000}, ('TwoPair', 3, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 1): {50: 0, 0: 100000}, ('Distincts', 3, 2): {3: 100000}, ('TwoTimesOnes', 3, 2): {4.5: 100000}, ('HalfOfSixes', 3, 2): {7.5: 100000}, ('TwosAndThrees', 3, 2): {7.5: 100000}, ('SumOfOdds', 3, 2): {9.0: 100000}, ('SumOfEvens', 3, 2): {12.0: 100000}, ('DoubleThreesAndFours', 3, 2): {15.0: 100000}, ('QuadrupleOnesAndTwos', 3, 2): {15.0: 100000}, ('MicroStraight', 3, 2): {10: 44999.99999999999, 0: 55000.00000000001}, ('ThreeOdds', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('OneTwoOneConsecutive', 3, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('TwoPair', 3, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 2): {50: 0, 0: 100000}, ('Distincts', 3, 3): {3: 100000}, ('TwoTimesOnes', 3, 3): {5.0: 100000}, ('HalfOfSixes', 3, 3): {8.0: 100000}, ('TwosAndThrees', 3, 3): {8.0: 100000}, ('SumOfOdds', 3, 3): {10.0: 100000}, ('SumOfEvens', 3, 3): {13.0: 100000}, ('DoubleThreesAndFours', 3, 3): {16.0: 100000}, ('QuadrupleOnesAndTwos', 3, 3): {16.0: 100000}, ('MicroStraight', 3, 3): {10: 63333.33333333333, 0: 36666.66666666667}, ('ThreeOdds', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('OneTwoOneConsecutive', 3, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('TwoPair', 3, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 3): {50: 0, 0: 100000}, ('Distincts', 3, 4): {3: 100000}, ('TwoTimesOnes', 3, 4): {5.25: 100000}, ('HalfOfSixes', 3, 4): {8.25: 100000}, ('TwosAndThrees', 3, 4): {8.25: 100000}, ('SumOfOdds', 3, 4): {10.5: 100000}, ('SumOfEvens', 3, 4): {13.5: 100000}, ('DoubleThreesAndFours', 3, 4): {16.5: 100000}, ('QuadrupleOnesAndTwos', 3, 4): {16.5: 100000}, ('MicroStraight', 3, 4): {10: 72500.0, 0: 27500.000000000004}, ('ThreeOdds', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('OneTwoOneConsecutive', 3, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('TwoPair', 3, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 4): {50: 0, 0: 100000}, ('Distincts', 3, 5): {3: 100000}, ('TwoTimesOnes', 3, 5): {5.4: 100000}, ('HalfOfSixes', 3, 5): {8.399999999999999: 100000}, ('TwosAndThrees', 3, 5): {8.399999999999999: 100000}, ('SumOfOdds', 3, 5): {10.8: 100000}, ('SumOfEvens', 3, 5): {13.799999999999999: 100000}, ('DoubleThreesAndFours', 3, 5): {16.799999999999997: 100000}, ('QuadrupleOnesAndTwos', 3, 5): {16.799999999999997: 100000}, ('MicroStraight', 3, 5): {10: 78000.0, 0: 21999.999999999996}, ('ThreeOdds', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('OneTwoOneConsecutive', 3, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('TwoPair', 3, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 5): {50: 0, 0: 100000}, ('Distincts', 3, 6): {3: 100000}, ('TwoTimesOnes', 3, 6): {5.5: 100000}, ('HalfOfSixes', 3, 6): {8.5: 100000}, ('TwosAndThrees', 3, 6): {8.5: 100000}, ('SumOfOdds', 3, 6): {11.0: 100000}, ('SumOfEvens', 3, 6): {14.0: 100000}, ('DoubleThreesAndFours', 3, 6): {17.0: 100000}, ('QuadrupleOnesAndTwos', 3, 6): {17.0: 100000}, ('MicroStraight', 3, 6): {10: 81666.66666666667, 0: 18333.333333333336}, ('ThreeOdds', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('OneTwoOneConsecutive', 3, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('TwoPair', 3, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 6): {50: 0, 0: 100000}, ('Distincts', 3, 7): {3: 100000}, ('TwoTimesOnes', 3, 7): {5.571428571428571: 100000}, ('HalfOfSixes', 3, 7): {8.571428571428571: 100000}, ('TwosAndThrees', 3, 7): {8.571428571428571: 100000}, ('SumOfOdds', 3, 7): {11.142857142857142: 100000}, ('SumOfEvens', 3, 7): {14.142857142857142: 100000}, ('DoubleThreesAndFours', 3, 7): {17.142857142857142: 100000}, ('QuadrupleOnesAndTwos', 3, 7): {17.142857142857142: 100000}, ('MicroStraight', 3, 7): {10: 84285.71428571429, 0: 15714.285714285714}, ('ThreeOdds', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('OneTwoOneConsecutive', 3, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('TwoPair', 3, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 7): {50: 0, 0: 100000}, ('Distincts', 3, 8): {3: 100000}, ('TwoTimesOnes', 3, 8): {5.625: 100000}, ('HalfOfSixes', 3, 8): {8.625: 100000}, ('TwosAndThrees', 3, 8): {8.625: 100000}, ('SumOfOdds', 3, 8): {11.25: 100000}, ('SumOfEvens', 3, 8): {14.25: 100000}, ('DoubleThreesAndFours', 3, 8): {17.25: 100000}, ('QuadrupleOnesAndTwos', 3, 8): {17.25: 100000}, ('MicroStraight', 3, 8): {10: 86250.0, 0: 13749.999999999996}, ('ThreeOdds', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('OneTwoOneConsecutive', 3, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('TwoPair', 3, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 8): {50: 0, 0: 100000}, ('Distincts', 4, 1): {4: 100000}, ('TwoTimesOnes', 4, 1): {4.0: 100000}, ('HalfOfSixes', 4, 1): {8.0: 100000}, ('TwosAndThrees', 4, 1): {8.0: 100000}, ('SumOfOdds', 4, 1): {8.0: 100000}, ('SumOfEvens', 4, 1): {12.0: 100000}, ('DoubleThreesAndFours', 4, 1): {16.0: 100000}, ('QuadrupleOnesAndTwos', 4, 1): {16.0: 100000}, ('MicroStraight', 4, 1): {10: 89999.99999999999, 0: 10000.00000000001}, ('ThreeOdds', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('OneTwoOneConsecutive', 4, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('TwoPair', 4, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 1): {50: 0, 0: 100000}, ('Distincts', 4, 2): {4: 100000}, ('TwoTimesOnes', 4, 2): {6.0: 100000}, ('HalfOfSixes', 4, 2): {10.0: 100000}, ('TwosAndThrees', 4, 2): {10.0: 100000}, ('SumOfOdds', 4, 2): {12.0: 100000}, ('SumOfEvens', 4, 2): {16.0: 100000}, ('DoubleThreesAndFours', 4, 2): {20.0: 100000}, ('QuadrupleOnesAndTwos', 4, 2): {20.0: 100000}, ('MicroStraight', 4, 2): {10: 100000, 0: 0}, ('ThreeOdds', 4, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 2): {30: 40000.0, 0: 60000.0}, ('ThreeDistinctDice', 4, 2): {20: 100000, 0: 0}, ('TwoPair', 4, 2): {30: 50000.0, 0: 50000.0}, ('TwoOneTwoConsecutive', 4, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 2): {50: 0, 0: 100000}, ('Distincts', 4, 3): {4: 100000}, ('TwoTimesOnes', 4, 3): {6.666666666666667: 100000}, ('HalfOfSixes', 4, 3): {10.666666666666666: 100000}, ('TwosAndThrees', 4, 3): {10.666666666666666: 100000}, ('SumOfOdds', 4, 3): {13.333333333333334: 100000}, ('SumOfEvens', 4, 3): {17.333333333333332: 100000}, ('DoubleThreesAndFours', 4, 3): {21.333333333333332: 100000}, ('QuadrupleOnesAndTwos', 4, 3): {21.333333333333332: 100000}, ('MicroStraight', 4, 3): {10: 100000, 0: 0}, ('ThreeOdds', 4, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 3): {30: 60000.00000000001, 0: 39999.99999999999}, ('ThreeDistinctDice', 4, 3): {20: 100000, 0: 0}, ('TwoPair', 4, 3): {30: 66666.66666666667, 0: 33333.33333333333}, ('TwoOneTwoConsecutive', 4, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 3): {50: 0, 0: 100000}, ('Distincts', 4, 4): {4: 100000}, ('TwoTimesOnes', 4, 4): {7.0: 100000}, ('HalfOfSixes', 4, 4): {11.0: 100000}, ('TwosAndThrees', 4, 4): {11.0: 100000}, ('SumOfOdds', 4, 4): {14.0: 100000}, ('SumOfEvens', 4, 4): {18.0: 100000}, ('DoubleThreesAndFours', 4, 4): {22.0: 100000}, ('QuadrupleOnesAndTwos', 4, 4): {22.0: 100000}, ('MicroStraight', 4, 4): {10: 100000, 0: 0}, ('ThreeOdds', 4, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 4): {30: 70000.0, 0: 30000.000000000004}, ('ThreeDistinctDice', 4, 4): {20: 100000, 0: 0}, ('TwoPair', 4, 4): {30: 75000.0, 0: 25000.0}, ('TwoOneTwoConsecutive', 4, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 4): {50: 0, 0: 100000}, ('Distincts', 4, 5): {4: 100000}, ('TwoTimesOnes', 4, 5): {7.2: 100000}, ('HalfOfSixes', 4, 5): {11.2: 100000}, ('TwosAndThrees', 4, 5): {11.2: 100000}, ('SumOfOdds', 4, 5): {14.4: 100000}, ('SumOfEvens', 4, 5): {18.4: 100000}, ('DoubleThreesAndFours', 4, 5): {22.4: 100000}, ('QuadrupleOnesAndTwos', 4, 5): {22.4: 100000}, ('MicroStraight', 4, 5): {10: 100000, 0: 0}, ('ThreeOdds', 4, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 5): {30: 76000.0, 0: 24000.0}, ('ThreeDistinctDice', 4, 5): {20: 100000, 0: 0}, ('TwoPair', 4, 5): {30: 80000.0, 0: 19999.999999999996}, ('TwoOneTwoConsecutive', 4, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 5): {50: 0, 0: 100000}, ('Distincts', 4, 6): {4: 100000}, ('TwoTimesOnes', 4, 6): {7.333333333333333: 100000}, ('HalfOfSixes', 4, 6): {11.333333333333334: 100000}, ('TwosAndThrees', 4, 6): {11.333333333333334: 100000}, ('SumOfOdds', 4, 6): {14.666666666666666: 100000}, ('SumOfEvens', 4, 6): {18.666666666666668: 100000}, ('DoubleThreesAndFours', 4, 6): {22.666666666666668: 100000}, ('QuadrupleOnesAndTwos', 4, 6): {22.666666666666668: 100000}, ('MicroStraight', 4, 6): {10: 100000, 0: 0}, ('ThreeOdds', 4, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 6): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 4, 6): {20: 100000, 0: 0}, ('TwoPair', 4, 6): {30: 83333.33333333334, 0: 16666.666666666664}, ('TwoOneTwoConsecutive', 4, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 6): {50: 0, 0: 100000}, ('Distincts', 4, 7): {4: 100000}, ('TwoTimesOnes', 4, 7): {7.428571428571429: 100000}, ('HalfOfSixes', 4, 7): {11.428571428571429: 100000}, ('TwosAndThrees', 4, 7): {11.428571428571429: 100000}, ('SumOfOdds', 4, 7): {14.857142857142858: 100000}, ('SumOfEvens', 4, 7): {18.857142857142858: 100000}, ('DoubleThreesAndFours', 4, 7): {22.857142857142858: 100000}, ('QuadrupleOnesAndTwos', 4, 7): {22.857142857142858: 100000}, ('MicroStraight', 4, 7): {10: 100000, 0: 0}, ('ThreeOdds', 4, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 7): {30: 82857.14285714286, 0: 17142.85714285715}, ('ThreeDistinctDice', 4, 7): {20: 100000, 0: 0}, ('TwoPair', 4, 7): {30: 85714.28571428572, 0: 14285.714285714279}, ('TwoOneTwoConsecutive', 4, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 7): {50: 0, 0: 100000}, ('Distincts', 4, 8): {4: 100000}, ('TwoTimesOnes', 4, 8): {7.5: 100000}, ('HalfOfSixes', 4, 8): {11.5: 100000}, ('TwosAndThrees', 4, 8): {11.5: 100000}, ('SumOfOdds', 4, 8): {15.0: 100000}, ('SumOfEvens', 4, 8): {19.0: 100000}, ('DoubleThreesAndFours', 4, 8): {23.0: 100000}, ('QuadrupleOnesAndTwos', 4, 8): {23.0: 100000}, ('MicroStraight', 4, 8): {10: 100000, 0: 0}, ('ThreeOdds', 4, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 8): {30: 85000.0, 0: 15000.000000000002}, ('ThreeDistinctDice', 4, 8): {20: 100000, 0: 0}, ('TwoPair', 4, 8): {30: 87500.0, 0: 12500.0}, ('TwoOneTwoConsecutive', 4, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 8): {50: 0, 0: 100000}, ('Distincts', 5, 1): {5: 100000}, ('TwoTimesOnes', 5, 1): {5.0: 100000}, ('HalfOfSixes', 5, 1): {10.0: 100000}, ('TwosAndThrees', 5, 1): {10.0: 100000}, ('SumOfOdds', 5, 1): {10.0: 100000}, ('SumOfEvens', 5, 1): {15.0: 100000}, ('DoubleThreesAndFours', 5, 1): {20.0: 100000}, ('QuadrupleOnesAndTwos', 5, 1): {20.0: 100000}, ('MicroStraight', 5, 1): {10: 100000, 0: 0}, ('ThreeOdds', 5, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 1): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 5, 1): {20: 100000, 0: 0}, ('TwoPair', 5, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 5, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 5, 1): {50: 0, 0: 100000}, ('Distincts', 5, 2): {5: 100000}, ('TwoTimesOnes', 5, 2): {7.5: 100000}, ('HalfOfSixes', 5, 2): {12.5: 100000}, ('TwosAndThrees', 5, 2): {12.5: 100000}, ('SumOfOdds', 5, 2): {15.0: 100000}, ('SumOfEvens', 5, 2): {20.0: 100000}, ('DoubleThreesAndFours', 5, 2): {25.0: 100000}, ('QuadrupleOnesAndTwos', 5, 2): {25.0: 100000}, ('MicroStraight', 5, 2): {10: 100000, 0: 0}, ('ThreeOdds', 5, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 2): {20: 100000, 0: 0}, ('TwoPair', 5, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 2): {40: 35000.0, 0: 65000.0}, ('FiveDistinctDice', 5, 2): {25: 25000.0, 0: 75000.0}, ('FourAndFiveFullHouse', 5, 2): {50: 0, 0: 100000}, ('Distincts', 5, 3): {5: 100000}, ('TwoTimesOnes', 5, 3): {8.333333333333334: 100000}, ('HalfOfSixes', 5, 3): {13.333333333333332: 100000}, ('TwosAndThrees', 5, 3): {13.333333333333332: 100000}, ('SumOfOdds', 5, 3): {16.666666666666668: 100000}, ('SumOfEvens', 5, 3): {21.666666666666664: 100000}, ('DoubleThreesAndFours', 5, 3): {26.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 5, 3): {26.666666666666664: 100000}, ('MicroStraight', 5, 3): {10: 100000, 0: 0}, ('ThreeOdds', 5, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 3): {20: 100000, 0: 0}, ('TwoPair', 5, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 3): {40: 56666.666666666664, 0: 43333.333333333336}, ('FiveDistinctDice', 5, 3): {25: 50000.0, 0: 50000.0}, ('FourAndFiveFullHouse', 5, 3): {50: 33333.333333333336, 0: 66666.66666666666}, ('Distincts', 5, 4): {5: 100000}, ('TwoTimesOnes', 5, 4): {8.75: 100000}, ('HalfOfSixes', 5, 4): {13.75: 100000}, ('TwosAndThrees', 5, 4): {13.75: 100000}, ('SumOfOdds', 5, 4): {17.5: 100000}, ('SumOfEvens', 5, 4): {22.5: 100000}, ('DoubleThreesAndFours', 5, 4): {27.5: 100000}, ('QuadrupleOnesAndTwos', 5, 4): {27.5: 100000}, ('MicroStraight', 5, 4): {10: 100000, 0: 0}, ('ThreeOdds', 5, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 4): {20: 100000, 0: 0}, ('TwoPair', 5, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 4): {40: 67500.0, 0: 32499.999999999996}, ('FiveDistinctDice', 5, 4): {25: 62500.0, 0: 37500.0}, ('FourAndFiveFullHouse', 5, 4): {50: 50000.0, 0: 50000.0}, ('Distincts', 5, 5): {5: 100000}, ('TwoTimesOnes', 5, 5): {9.0: 100000}, ('HalfOfSixes', 5, 5): {14.0: 100000}, ('TwosAndThrees', 5, 5): {14.0: 100000}, ('SumOfOdds', 5, 5): {18.0: 100000}, ('SumOfEvens', 5, 5): {23.0: 100000}, ('DoubleThreesAndFours', 5, 5): {28.0: 100000}, ('QuadrupleOnesAndTwos', 5, 5): {28.0: 100000}, ('MicroStraight', 5, 5): {10: 100000, 0: 0}, ('ThreeOdds', 5, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 5): {20: 100000, 0: 0}, ('TwoPair', 5, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 5): {40: 74000.0, 0: 26000.0}, ('FiveDistinctDice', 5, 5): {25: 70000.0, 0: 30000.000000000004}, ('FourAndFiveFullHouse', 5, 5): {50: 60000.0, 0: 40000.0}, ('Distincts', 5, 6): {5: 100000}, ('TwoTimesOnes', 5, 6): {9.166666666666666: 100000}, ('HalfOfSixes', 5, 6): {14.166666666666668: 100000}, ('TwosAndThrees', 5, 6): {14.166666666666668: 100000}, ('SumOfOdds', 5, 6): {18.333333333333332: 100000}, ('SumOfEvens', 5, 6): {23.333333333333336: 100000}, ('DoubleThreesAndFours', 5, 6): {28.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 5, 6): {28.333333333333336: 100000}, ('MicroStraight', 5, 6): {10: 100000, 0: 0}, ('ThreeOdds', 5, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 6): {20: 100000, 0: 0}, ('TwoPair', 5, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 6): {40: 78333.33333333333, 0: 21666.666666666668}, ('FiveDistinctDice', 5, 6): {25: 75000.0, 0: 25000.0}, ('FourAndFiveFullHouse', 5, 6): {50: 66666.66666666667, 0: 33333.33333333333}, ('Distincts', 5, 7): {5: 100000}, ('TwoTimesOnes', 5, 7): {9.285714285714286: 100000}, ('HalfOfSixes', 5, 7): {14.285714285714286: 100000}, ('TwosAndThrees', 5, 7): {14.285714285714286: 100000}, ('SumOfOdds', 5, 7): {18.571428571428573: 100000}, ('SumOfEvens', 5, 7): {23.571428571428573: 100000}, ('DoubleThreesAndFours', 5, 7): {28.571428571428573: 100000}, ('QuadrupleOnesAndTwos', 5, 7): {28.571428571428573: 100000}, ('MicroStraight', 5, 7): {10: 100000, 0: 0}, ('ThreeOdds', 5, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 7): {20: 100000, 0: 0}, ('TwoPair', 5, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 7): {40: 81428.57142857143, 0: 18571.428571428572}, ('FiveDistinctDice', 5, 7): {25: 78571.42857142857, 0: 21428.57142857143}, ('FourAndFiveFullHouse', 5, 7): {50: 71428.57142857143, 0: 28571.42857142857}, ('Distincts', 5, 8): {5: 100000}, ('TwoTimesOnes', 5, 8): {9.375: 100000}, ('HalfOfSixes', 5, 8): {14.375: 100000}, ('TwosAndThrees', 5, 8): {14.375: 100000}, ('SumOfOdds', 5, 8): {18.75: 100000}, ('SumOfEvens', 5, 8): {23.75: 100000}, ('DoubleThreesAndFours', 5, 8): {28.75: 100000}, ('QuadrupleOnesAndTwos', 5, 8): {28.75: 100000}, ('MicroStraight', 5, 8): {10: 100000, 0: 0}, ('ThreeOdds', 5, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 8): {20: 100000, 0: 0}, ('TwoPair', 5, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 8): {40: 83750.0, 0: 16249.999999999998}, ('FiveDistinctDice', 5, 8): {25: 81250.0, 0: 18750.0}, ('FourAndFiveFullHouse', 5, 8): {50: 75000.0, 0: 25000.0}, ('Distincts', 6, 1): {6: 100000}, ('TwoTimesOnes', 6, 1): {6.0: 100000}, ('HalfOfSixes', 6, 1): {12.0: 100000}, ('TwosAndThrees', 6, 1): {12.0: 100000}, ('SumOfOdds', 6, 1): {12.0: 100000}, ('SumOfEvens', 6, 1): {18.0: 100000}, ('DoubleThreesAndFours', 6, 1): {24.0: 100000}, ('QuadrupleOnesAndTwos', 6, 1): {24.0: 100000}, ('MicroStraight', 6, 1): {10: 100000, 0: 0}, ('ThreeOdds', 6, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 1): {20: 100000, 0: 0}, ('TwoPair', 6, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 1): {40: 70000.0, 0: 30000.000000000004}, ('FiveDistinctDice', 6, 1): {25: 50000.0, 0: 50000.0}, ('FourAndFiveFullHouse', 6, 1): {50: 0, 0: 100000}, ('Distincts', 6, 2): {6: 100000}, ('TwoTimesOnes', 6, 2): {9.0: 100000}, ('HalfOfSixes', 6, 2): {15.0: 100000}, ('TwosAndThrees', 6, 2): {15.0: 100000}, ('SumOfOdds', 6, 2): {18.0: 100000}, ('SumOfEvens', 6, 2): {24.0: 100000}, ('DoubleThreesAndFours', 6, 2): {30.0: 100000}, ('QuadrupleOnesAndTwos', 6, 2): {30.0: 100000}, ('MicroStraight', 6, 2): {10: 100000, 0: 0}, ('ThreeOdds', 6, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 2): {20: 100000, 0: 0}, ('TwoPair', 6, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 2): {50: 100000, 0: 0}, ('Distincts', 6, 3): {6: 100000}, ('TwoTimesOnes', 6, 3): {10.0: 100000}, ('HalfOfSixes', 6, 3): {16.0: 100000}, ('TwosAndThrees', 6, 3): {16.0: 100000}, ('SumOfOdds', 6, 3): {20.0: 100000}, ('SumOfEvens', 6, 3): {26.0: 100000}, ('DoubleThreesAndFours', 6, 3): {32.0: 100000}, ('QuadrupleOnesAndTwos', 6, 3): {32.0: 100000}, ('MicroStraight', 6, 3): {10: 100000, 0: 0}, ('ThreeOdds', 6, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 3): {20: 100000, 0: 0}, ('TwoPair', 6, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 3): {50: 100000, 0: 0}, ('Distincts', 6, 4): {6: 100000}, ('TwoTimesOnes', 6, 4): {10.5: 100000}, ('HalfOfSixes', 6, 4): {16.5: 100000}, ('TwosAndThrees', 6, 4): {16.5: 100000}, ('SumOfOdds', 6, 4): {21.0: 100000}, ('SumOfEvens', 6, 4): {27.0: 100000}, ('DoubleThreesAndFours', 6, 4): {33.0: 100000}, ('QuadrupleOnesAndTwos', 6, 4): {33.0: 100000}, ('MicroStraight', 6, 4): {10: 100000, 0: 0}, ('ThreeOdds', 6, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 4): {20: 100000, 0: 0}, ('TwoPair', 6, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 4): {50: 100000, 0: 0}, ('Distincts', 6, 5): {6: 100000}, ('TwoTimesOnes', 6, 5): {10.8: 100000}, ('HalfOfSixes', 6, 5): {16.799999999999997: 100000}, ('TwosAndThrees', 6, 5): {16.799999999999997: 100000}, ('SumOfOdds', 6, 5): {21.6: 100000}, ('SumOfEvens', 6, 5): {27.599999999999998: 100000}, ('DoubleThreesAndFours', 6, 5): {33.599999999999994: 100000}, ('QuadrupleOnesAndTwos', 6, 5): {33.599999999999994: 100000}, ('MicroStraight', 6, 5): {10: 100000, 0: 0}, ('ThreeOdds', 6, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 5): {20: 100000, 0: 0}, ('TwoPair', 6, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 5): {50: 100000, 0: 0}, ('Distincts', 6, 6): {6: 100000}, ('TwoTimesOnes', 6, 6): {11.0: 100000}, ('HalfOfSixes', 6, 6): {17.0: 100000}, ('TwosAndThrees', 6, 6): {17.0: 100000}, ('SumOfOdds', 6, 6): {22.0: 100000}, ('SumOfEvens', 6, 6): {28.0: 100000}, ('DoubleThreesAndFours', 6, 6): {34.0: 100000}, ('QuadrupleOnesAndTwos', 6, 6): {34.0: 100000}, ('MicroStraight', 6, 6): {10: 100000, 0: 0}, ('ThreeOdds', 6, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 6): {20: 100000, 0: 0}, ('TwoPair', 6, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 6): {50: 100000, 0: 0}, ('Distincts', 6, 7): {6: 100000}, ('TwoTimesOnes', 6, 7): {11.142857142857142: 100000}, ('HalfOfSixes', 6, 7): {17.142857142857142: 100000}, ('TwosAndThrees', 6, 7): {17.142857142857142: 100000}, ('SumOfOdds', 6, 7): {22.285714285714285: 100000}, ('SumOfEvens', 6, 7): {28.285714285714285: 100000}, ('DoubleThreesAndFours', 6, 7): {34.285714285714285: 100000}, ('QuadrupleOnesAndTwos', 6, 7): {34.285714285714285: 100000}, ('MicroStraight', 6, 7): {10: 100000, 0: 0}, ('ThreeOdds', 6, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 7): {20: 100000, 0: 0}, ('TwoPair', 6, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 7): {50: 100000, 0: 0}, ('Distincts', 6, 8): {6: 100000}, ('TwoTimesOnes', 6, 8): {11.25: 100000}, ('HalfOfSixes', 6, 8): {17.25: 100000}, ('TwosAndThrees', 6, 8): {17.25: 100000}, ('SumOfOdds', 6, 8): {22.5: 100000}, ('SumOfEvens', 6, 8): {28.5: 100000}, ('DoubleThreesAndFours', 6, 8): {34.5: 100000}, ('QuadrupleOnesAndTwos', 6, 8): {34.5: 100000}, ('MicroStraight', 6, 8): {10: 100000, 0: 0}, ('ThreeOdds', 6, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 8): {20: 100000, 0: 0}, ('TwoPair', 6, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 8): {50: 100000, 0: 0}, ('Distincts', 7, 1): {7: 100000}, ('TwoTimesOnes', 7, 1): {7.0: 100000}, ('HalfOfSixes', 7, 1): {14.0: 100000}, ('TwosAndThrees', 7, 1): {14.0: 100000}, ('SumOfOdds', 7, 1): {14.0: 100000}, ('SumOfEvens', 7, 1): {21.0: 100000}, ('DoubleThreesAndFours', 7, 1): {28.0: 100000}, ('QuadrupleOnesAndTwos', 7, 1): {28.0: 100000}, ('MicroStraight', 7, 1): {10: 100000, 0: 0}, ('ThreeOdds', 7, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 1): {20: 100000, 0: 0}, ('TwoPair', 7, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 1): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 1): {50: 100000, 0: 0}, ('Distincts', 7, 2): {7: 100000}, ('TwoTimesOnes', 7, 2): {10.5: 100000}, ('HalfOfSixes', 7, 2): {17.5: 100000}, ('TwosAndThrees', 7, 2): {17.5: 100000}, ('SumOfOdds', 7, 2): {21.0: 100000}, ('SumOfEvens', 7, 2): {28.0: 100000}, ('DoubleThreesAndFours', 7, 2): {35.0: 100000}, ('QuadrupleOnesAndTwos', 7, 2): {35.0: 100000}, ('MicroStraight', 7, 2): {10: 100000, 0: 0}, ('ThreeOdds', 7, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 2): {20: 100000, 0: 0}, ('TwoPair', 7, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 2): {50: 100000, 0: 0}, ('Distincts', 7, 3): {7: 100000}, ('TwoTimesOnes', 7, 3): {11.666666666666668: 100000}, ('HalfOfSixes', 7, 3): {18.666666666666664: 100000}, ('TwosAndThrees', 7, 3): {18.666666666666664: 100000}, ('SumOfOdds', 7, 3): {23.333333333333336: 100000}, ('SumOfEvens', 7, 3): {30.333333333333332: 100000}, ('DoubleThreesAndFours', 7, 3): {37.33333333333333: 100000}, ('QuadrupleOnesAndTwos', 7, 3): {37.33333333333333: 100000}, ('MicroStraight', 7, 3): {10: 100000, 0: 0}, ('ThreeOdds', 7, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 3): {20: 100000, 0: 0}, ('TwoPair', 7, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 3): {50: 100000, 0: 0}, ('Distincts', 7, 4): {7: 100000}, ('TwoTimesOnes', 7, 4): {12.25: 100000}, ('HalfOfSixes', 7, 4): {19.25: 100000}, ('TwosAndThrees', 7, 4): {19.25: 100000}, ('SumOfOdds', 7, 4): {24.5: 100000}, ('SumOfEvens', 7, 4): {31.5: 100000}, ('DoubleThreesAndFours', 7, 4): {38.5: 100000}, ('QuadrupleOnesAndTwos', 7, 4): {38.5: 100000}, ('MicroStraight', 7, 4): {10: 100000, 0: 0}, ('ThreeOdds', 7, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 4): {20: 100000, 0: 0}, ('TwoPair', 7, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 4): {50: 100000, 0: 0}, ('Distincts', 7, 5): {7: 100000}, ('TwoTimesOnes', 7, 5): {12.6: 100000}, ('HalfOfSixes', 7, 5): {19.599999999999998: 100000}, ('TwosAndThrees', 7, 5): {19.599999999999998: 100000}, ('SumOfOdds', 7, 5): {25.2: 100000}, ('SumOfEvens', 7, 5): {32.199999999999996: 100000}, ('DoubleThreesAndFours', 7, 5): {39.199999999999996: 100000}, ('QuadrupleOnesAndTwos', 7, 5): {39.199999999999996: 100000}, ('MicroStraight', 7, 5): {10: 100000, 0: 0}, ('ThreeOdds', 7, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 5): {20: 100000, 0: 0}, ('TwoPair', 7, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 5): {50: 100000, 0: 0}, ('Distincts', 7, 6): {7: 100000}, ('TwoTimesOnes', 7, 6): {12.833333333333332: 100000}, ('HalfOfSixes', 7, 6): {19.833333333333336: 100000}, ('TwosAndThrees', 7, 6): {19.833333333333336: 100000}, ('SumOfOdds', 7, 6): {25.666666666666664: 100000}, ('SumOfEvens', 7, 6): {32.66666666666667: 100000}, ('DoubleThreesAndFours', 7, 6): {39.66666666666667: 100000}, ('QuadrupleOnesAndTwos', 7, 6): {39.66666666666667: 100000}, ('MicroStraight', 7, 6): {10: 100000, 0: 0}, ('ThreeOdds', 7, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 6): {20: 100000, 0: 0}, ('TwoPair', 7, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 6): {50: 100000, 0: 0}, ('Distincts', 7, 7): {7: 100000}, ('TwoTimesOnes', 7, 7): {13.0: 100000}, ('HalfOfSixes', 7, 7): {20.0: 100000}, ('TwosAndThrees', 7, 7): {20.0: 100000}, ('SumOfOdds', 7, 7): {26.0: 100000}, ('SumOfEvens', 7, 7): {33.0: 100000}, ('DoubleThreesAndFours', 7, 7): {40.0: 100000}, ('QuadrupleOnesAndTwos', 7, 7): {40.0: 100000}, ('MicroStraight', 7, 7): {10: 100000, 0: 0}, ('ThreeOdds', 7, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 7): {20: 100000, 0: 0}, ('TwoPair', 7, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 7): {50: 100000, 0: 0}, ('Distincts', 7, 8): {7: 100000}, ('TwoTimesOnes', 7, 8): {13.125: 100000}, ('HalfOfSixes', 7, 8): {20.125: 100000}, ('TwosAndThrees', 7, 8): {20.125: 100000}, ('SumOfOdds', 7, 8): {26.25: 100000}, ('SumOfEvens', 7, 8): {33.25: 100000}, ('DoubleThreesAndFours', 7, 8): {40.25: 100000}, ('QuadrupleOnesAndTwos', 7, 8): {40.25: 100000}, ('MicroStraight', 7, 8): {10: 100000, 0: 0}, ('ThreeOdds', 7, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 8): {20: 100000, 0: 0}, ('TwoPair', 7, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 8): {50: 100000, 0: 0}, ('Distincts', 8, 1): {8: 100000}, ('TwoTimesOnes', 8, 1): {8.0: 100000}, ('HalfOfSixes', 8, 1): {16.0: 100000}, ('TwosAndThrees', 8, 1): {16.0: 100000}, ('SumOfOdds', 8, 1): {16.0: 100000}, ('SumOfEvens', 8, 1): {24.0: 100000}, ('DoubleThreesAndFours', 8, 1): {32.0: 100000}, ('QuadrupleOnesAndTwos', 8, 1): {32.0: 100000}, ('MicroStraight', 8, 1): {10: 100000, 0: 0}, ('ThreeOdds', 8, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 1): {20: 100000, 0: 0}, ('TwoPair', 8, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 1): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 1): {50: 100000, 0: 0}, ('Distincts', 8, 2): {8: 100000}, ('TwoTimesOnes', 8, 2): {12.0: 100000}, ('HalfOfSixes', 8, 2): {20.0: 100000}, ('TwosAndThrees', 8, 2): {20.0: 100000}, ('SumOfOdds', 8, 2): {24.0: 100000}, ('SumOfEvens', 8, 2): {32.0: 100000}, ('DoubleThreesAndFours', 8, 2): {40.0: 100000}, ('QuadrupleOnesAndTwos', 8, 2): {40.0: 100000}, ('MicroStraight', 8, 2): {10: 100000, 0: 0}, ('ThreeOdds', 8, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 2): {20: 100000, 0: 0}, ('TwoPair', 8, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 2): {50: 100000, 0: 0}, ('Distincts', 8, 3): {8: 100000}, ('TwoTimesOnes', 8, 3): {13.333333333333334: 100000}, ('HalfOfSixes', 8, 3): {21.333333333333332: 100000}, ('TwosAndThrees', 8, 3): {21.333333333333332: 100000}, ('SumOfOdds', 8, 3): {26.666666666666668: 100000}, ('SumOfEvens', 8, 3): {34.666666666666664: 100000}, ('DoubleThreesAndFours', 8, 3): {42.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 8, 3): {42.666666666666664: 100000}, ('MicroStraight', 8, 3): {10: 100000, 0: 0}, ('ThreeOdds', 8, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 3): {20: 100000, 0: 0}, ('TwoPair', 8, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 3): {50: 100000, 0: 0}, ('Distincts', 8, 4): {8: 100000}, ('TwoTimesOnes', 8, 4): {14.0: 100000}, ('HalfOfSixes', 8, 4): {22.0: 100000}, ('TwosAndThrees', 8, 4): {22.0: 100000}, ('SumOfOdds', 8, 4): {28.0: 100000}, ('SumOfEvens', 8, 4): {36.0: 100000}, ('DoubleThreesAndFours', 8, 4): {44.0: 100000}, ('QuadrupleOnesAndTwos', 8, 4): {44.0: 100000}, ('MicroStraight', 8, 4): {10: 100000, 0: 0}, ('ThreeOdds', 8, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 4): {20: 100000, 0: 0}, ('TwoPair', 8, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 4): {50: 100000, 0: 0}, ('Distincts', 8, 5): {8: 100000}, ('TwoTimesOnes', 8, 5): {14.4: 100000}, ('HalfOfSixes', 8, 5): {22.4: 100000}, ('TwosAndThrees', 8, 5): {22.4: 100000}, ('SumOfOdds', 8, 5): {28.8: 100000}, ('SumOfEvens', 8, 5): {36.8: 100000}, ('DoubleThreesAndFours', 8, 5): {44.8: 100000}, ('QuadrupleOnesAndTwos', 8, 5): {44.8: 100000}, ('MicroStraight', 8, 5): {10: 100000, 0: 0}, ('ThreeOdds', 8, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 5): {20: 100000, 0: 0}, ('TwoPair', 8, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 5): {50: 100000, 0: 0}, ('Distincts', 8, 6): {8: 100000}, ('TwoTimesOnes', 8, 6): {14.666666666666666: 100000}, ('HalfOfSixes', 8, 6): {22.666666666666668: 100000}, ('TwosAndThrees', 8, 6): {22.666666666666668: 100000}, ('SumOfOdds', 8, 6): {29.333333333333332: 100000}, ('SumOfEvens', 8, 6): {37.333333333333336: 100000}, ('DoubleThreesAndFours', 8, 6): {45.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 8, 6): {45.333333333333336: 100000}, ('MicroStraight', 8, 6): {10: 100000, 0: 0}, ('ThreeOdds', 8, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 6): {20: 100000, 0: 0}, ('TwoPair', 8, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 6): {50: 100000, 0: 0}, ('Distincts', 8, 7): {8: 100000}, ('TwoTimesOnes', 8, 7): {14.857142857142858: 100000}, ('HalfOfSixes', 8, 7): {22.857142857142858: 100000}, ('TwosAndThrees', 8, 7): {22.857142857142858: 100000}, ('SumOfOdds', 8, 7): {29.714285714285715: 100000}, ('SumOfEvens', 8, 7): {37.714285714285715: 100000}, ('DoubleThreesAndFours', 8, 7): {45.714285714285715: 100000}, ('QuadrupleOnesAndTwos', 8, 7): {45.714285714285715: 100000}, ('MicroStraight', 8, 7): {10: 100000, 0: 0}, ('ThreeOdds', 8, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 7): {20: 100000, 0: 0}, ('TwoPair', 8, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 7): {50: 100000, 0: 0}, ('Distincts', 8, 8): {8: 100000}, ('TwoTimesOnes', 8, 8): {15.0: 100000}, ('HalfOfSixes', 8, 8): {23.0: 100000}, ('TwosAndThrees', 8, 8): {23.0: 100000}, ('SumOfOdds', 8, 8): {30.0: 100000}, ('SumOfEvens', 8, 8): {38.0: 100000}, ('DoubleThreesAndFours', 8, 8): {46.0: 100000}, ('QuadrupleOnesAndTwos', 8, 8): {46.0: 100000}, ('MicroStraight', 8, 8): {10: 100000, 0: 0}, ('ThreeOdds', 8, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 8): {20: 100000, 0: 0}, ('TwoPair', 8, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 8): {50: 100000, 0: 0}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 1f9f03e27d82..dfbc57dc7f1e 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -85,7 +85,7 @@ def create_items(self): item1 = ["Category Choice", "Category Double Threes and Fours"][categorylist[0]] item2 = ["Category Inverse Choice", "Category Quadruple Ones and Twos"][categorylist[1]] - + self.multiworld.push_precollected(self.create_item(item1)) self.multiworld.push_precollected(self.create_item(item2)) @@ -115,21 +115,22 @@ def create_items(self): itempool += ["Score Multiplier"] * 10 #add all categories. Note: not "choice" and "inverse choice", they are obtained at the start - itempool += ["Category Ones", "Category Distincts"][categorylist[2]] - itempool += ["Category Twos", "Category Two times Ones"][categorylist[3]] - itempool += ["Category Threes", "Category Half of Sixes"][categorylist[4]] - itempool += ["Category Fours", "Category Twos and Threes"][categorylist[5]] - itempool += ["Category Fives", "Category Sum of Odds"][categorylist[6]] - itempool += ["Category Sixes", "Category Sum of Evens"][categorylist[7]] - - itempool += ["Category Pair", "Category Micro Straight"][categorylist[8]] - itempool += ["Category Three of a Kind", "Category Three Odds"][categorylist[9]] - itempool += ["Category Four of a Kind", "Category 1-2-1 Consecutive"][categorylist[10]] - itempool += ["Category Tiny Straight", "Category Three Distinct Dice"][categorylist[11]] - itempool += ["Category Small Straight", "Category Two Pair"][categorylist[12]] - itempool += ["Category Large Straight", "Category 2-1-2 Consecutive"][categorylist[13]] - itempool += ["Category Full House", "Category Five Distinct Dice"][categorylist[14]] - itempool += ["Category Yacht", "Category 4&5 Full House"][categorylist[15]] + itempool += [["Category Ones", "Category Distincts"][categorylist[2]]] + itempool += [["Category Twos", "Category Two times Ones"][categorylist[3]]] + itempool += [["Category Threes", "Category Half of Sixes"][categorylist[4]]] + itempool += [["Category Fours", "Category Twos and Threes"][categorylist[5]]] + itempool += [["Category Fives", "Category Sum of Odds"][categorylist[6]]] + itempool += [["Category Sixes", "Category Sum of Evens"][categorylist[7]]] + + itempool += [["Category Pair", "Category Micro Straight"][categorylist[8]]] + itempool += [["Category Three of a Kind", "Category Three Odds"][categorylist[9]]] + itempool += [["Category Four of a Kind", "Category 1-2-1 Consecutive"][categorylist[10]]] + itempool += [["Category Tiny Straight", "Category Three Distinct Dice"][categorylist[11]]] + itempool += [["Category Small Straight", "Category Two Pair"][categorylist[12]]] + itempool += [["Category Large Straight", "Category 2-1-2 Consecutive"][categorylist[13]]] + itempool += [["Category Full House", "Category Five Distinct Dice"][categorylist[14]]] + itempool += [["Category Yacht", "Category 4&5 Full House"][categorylist[15]]] + if self.options.game_mode.value == 2: if(self.options.points_game_mode.value >= 4): From 7c1a68ad3b2238e8d16814932f3500494191f620 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 00:32:35 +0200 Subject: [PATCH 010/127] changed options and added exceptions --- worlds/yachtdice/Options.py | 27 ++++++++++++++------------- worlds/yachtdice/Rules.py | 2 ++ worlds/yachtdice/__init__.py | 15 ++++++++++----- 3 files changed, 26 insertions(+), 18 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index aa9d8b8a971a..48f8571bce95 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -143,36 +143,37 @@ class gameMode(Choice): Standard. Get to 500 points on medium difficulty (and a bit lower/higher on other difficulties). - Extra points: a bunch of "10 Points" items are shuffled through the item pool. Get to 1000 points. + Points mode: a bunch of "10 Points" items are shuffled through the item pool. Get to 1000 points. The amount of "10 Points" items in the pool depends on your selected difficulty. - Extra categories: categories may appear multiple times. - Getting a category again gives a x2 multiplier for that category. Get to 1000 points. - The amount of "10 Points" items in the pool depends on your selected difficulty. + I'll add a new category soon™ """ + # Extra categories: categories may appear multiple times. + # Getting a category again gives a x2 multiplier for that category. Get to 1000 points. + # The amount of "10 Points" items in the pool depends on your selected difficulty. + display_name = "Game mode" option_standard = 1 - option_extra_points = 2 - option_extra_categories = 3 + option_points_mode = 2 + #option_extra_categories = 3 default = 1 class pointsGameMode(Choice): """ - This extra game mode shuffles many points items in the pool, - and your goal is to reach a score of 1000. + If points mode is selected, this option determines the value of the points items. yes_1_per_item: hundreds of "1 Point" items are shuffled into the pool. - NOT recommended in multiplayer, unless everyone is aware of the hundred of extra items + NOT recommended in multiplayer, unless everyone is aware of the hundred of points items yes_10_per_item: puts tens of "10 Points" (and a few 1 Points) into the item pool. yes_100_per_item: puts a few "100 Points" (and a few 1 and 10 Points) into the item pool. Warning: will unlock many checks if an 100 Points item is collected. """ - display_name = "Extra points game mode" - option_yes_1_per_item = 2 - option_yes_10_per_item = 3 - option_yes_100_per_item = 4 + display_name = "Value of points item" + option_1_per_item = 2 + option_10_per_item = 3 + option_100_per_item = 4 default = 3 diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 44f7cf0f448b..a1926141eabc 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -186,6 +186,8 @@ def diceSimulation(state, player, options): categories, nbDice, nbRolls, multiplier, expoints = extractProgression(state, player, options) return diceSimulationStrings(categories, nbDice, nbRolls, multiplier, options.game_difficulty.value, options.score_multiplier_type.value) + expoints + + # Sets rules on entrances and advancements that are always applied def set_yacht_rules(world: MultiWorld, player: int, options): diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index dfbc57dc7f1e..9c36f17afd74 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,8 +1,8 @@ from BaseClasses import Region, Entrance, Item, Tutorial -from .Items import ITEM_GROUPS, YachtDiceItem, item_table +from .Items import YachtDiceItem, item_table, ITEM_GROUPS from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions -from .Rules import set_yacht_rules, set_yacht_completion_rules +from .Rules import set_yacht_rules, set_yacht_completion_rules, diceSimulation from ..AutoWorld import World, WebWorld import math import logging @@ -154,8 +154,8 @@ def create_items(self): #the number of necessary items, should never exceed the number_of_locations #if it does, there is some weird error, perhaps with plando. This should raise an error... if already_items > self.number_of_locations: - logging.error(f"In Yacht Dice, there are more items \ - than locations ({already_items}, {self.number_of_locations})") + raise Exception(f"In Yacht Dice, there are more items than locations ({already_items}, {self.number_of_locations})") + #note that self.number_of_locations is the number of locations EXCLUDING the victory location. #and since the victory item is added later, we should have the number of items @@ -221,7 +221,7 @@ def create_items(self): #we're done adding items. Now because of the last step, number of items should be number of locations already_items = len(itempool) + self.extra_plando_items if len(itempool) != self.number_of_locations: - logging.error(f"Number in itempool is not number of locations {len(itempool)} {self.number_of_locations}.") + raise Exception(f"Number in itempool is not number of locations {len(itempool)} {self.number_of_locations}.") #convert strings to actual items itempool = [item for item in map(lambda name: self.create_item(name), itempool)] @@ -230,6 +230,7 @@ def create_items(self): for item in itempool: self.multiworld.itempool += [item] + def set_rules(self): @@ -237,6 +238,10 @@ def set_rules(self): set_yacht_rules(self.multiworld, self.player, self.options) set_yacht_completion_rules(self.multiworld, self.player) + maxScoreWithItems = diceSimulation(self.multiworld.get_all_state(False), self.player, self.options) + if self.goal_score > maxScoreWithItems: + raise Exception("In Yacht Dice, with all items in the pool, it is impossible to get to the goal.") + From 7c2b3df6170dcf8d8f36a1de9fcbc9dccdec81f8 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 00:37:33 +0200 Subject: [PATCH 011/127] Testing if I change the generate.py --- .gitignore | 1 + Generate.py | 32 ++++++++++++++++---------------- 2 files changed, 17 insertions(+), 16 deletions(-) diff --git a/.gitignore b/.gitignore index 44eb2b1fbd3d..e8464717b34c 100644 --- a/.gitignore +++ b/.gitignore @@ -227,3 +227,4 @@ worlds/zillion/test/TestReproducibleRandom.py >>>>>>> parent of 10ea81dc (Update .gitignore) ======= >>>>>>> parent of fe196db0 (Removed zillion because it doesn't work) +Generate.py diff --git a/Generate.py b/Generate.py index 30b992317d73..bd829d8370c5 100644 --- a/Generate.py +++ b/Generate.py @@ -558,19 +558,19 @@ def roll_alttp_settings(ret: argparse.Namespace, weights, plando_options): else: ret.sprite_pool += [key] * int(value) - -if __name__ == '__main__': - import atexit - confirmation = atexit.register(input, "Press enter to close.") - multiworld = main() - if __debug__: - import gc - import sys - import weakref - weak = weakref.ref(multiworld) - del multiworld - gc.collect() # need to collect to deref all hard references - assert not weak(), f"MultiWorld object was not de-allocated, it's referenced {sys.getrefcount(weak())} times." \ - " This would be a memory leak." - # in case of error-free exit should not need confirmation - atexit.unregister(confirmation) +for i in range(100): + if __name__ == '__main__': + import atexit + confirmation = atexit.register(input, "Press enter to close.") + multiworld = main() + if __debug__: + import gc + import sys + import weakref + weak = weakref.ref(multiworld) + del multiworld + gc.collect() # need to collect to deref all hard references + assert not weak(), f"MultiWorld object was not de-allocated, it's referenced {sys.getrefcount(weak())} times." \ + " This would be a memory leak." + # in case of error-free exit should not need confirmation + atexit.unregister(confirmation) From d39f6650afa7243d44a5814046e354c577c66cda Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 00:38:02 +0200 Subject: [PATCH 012/127] Revert "Testing if I change the generate.py" This reverts commit 7c2b3df6170dcf8d8f36a1de9fcbc9dccdec81f8. --- .gitignore | 1 - Generate.py | 32 ++++++++++++++++---------------- 2 files changed, 16 insertions(+), 17 deletions(-) diff --git a/.gitignore b/.gitignore index e8464717b34c..44eb2b1fbd3d 100644 --- a/.gitignore +++ b/.gitignore @@ -227,4 +227,3 @@ worlds/zillion/test/TestReproducibleRandom.py >>>>>>> parent of 10ea81dc (Update .gitignore) ======= >>>>>>> parent of fe196db0 (Removed zillion because it doesn't work) -Generate.py diff --git a/Generate.py b/Generate.py index bd829d8370c5..30b992317d73 100644 --- a/Generate.py +++ b/Generate.py @@ -558,19 +558,19 @@ def roll_alttp_settings(ret: argparse.Namespace, weights, plando_options): else: ret.sprite_pool += [key] * int(value) -for i in range(100): - if __name__ == '__main__': - import atexit - confirmation = atexit.register(input, "Press enter to close.") - multiworld = main() - if __debug__: - import gc - import sys - import weakref - weak = weakref.ref(multiworld) - del multiworld - gc.collect() # need to collect to deref all hard references - assert not weak(), f"MultiWorld object was not de-allocated, it's referenced {sys.getrefcount(weak())} times." \ - " This would be a memory leak." - # in case of error-free exit should not need confirmation - atexit.unregister(confirmation) + +if __name__ == '__main__': + import atexit + confirmation = atexit.register(input, "Press enter to close.") + multiworld = main() + if __debug__: + import gc + import sys + import weakref + weak = weakref.ref(multiworld) + del multiworld + gc.collect() # need to collect to deref all hard references + assert not weak(), f"MultiWorld object was not de-allocated, it's referenced {sys.getrefcount(weak())} times." \ + " This would be a memory leak." + # in case of error-free exit should not need confirmation + atexit.unregister(confirmation) From 49c698396dec4988afa4db5ddc2e145499b4cd96 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 00:41:12 +0200 Subject: [PATCH 013/127] ignore gitignore --- .gitignore | 30 +----------------------------- 1 file changed, 1 insertion(+), 29 deletions(-) diff --git a/.gitignore b/.gitignore index 44eb2b1fbd3d..56ea731c2232 100644 --- a/.gitignore +++ b/.gitignore @@ -198,32 +198,4 @@ minecraft_versions.json .LSOverride Thumbs.db [Dd]esktop.ini -<<<<<<< HEAD -/worlds/zillion -/worlds/zillion -<<<<<<< HEAD -worlds/zillion/__init__.py -worlds/zillion/__init__.py -worlds/zillion/__init__.py -worlds/zillion/client.py -worlds/zillion/config.py -worlds/zillion/docs/en_Zillion.md -worlds/zillion/docs/setup_en.md -worlds/zillion/empty-zillion-map-row-col-labels-281.png -worlds/zillion/gen_data.py -worlds/zillion/id_maps.py -worlds/zillion/item.py -worlds/zillion/logic.py -worlds/zillion/options.py -worlds/zillion/patch.py -worlds/zillion/py.typed -worlds/zillion/region.py -worlds/zillion/requirements.txt -worlds/zillion/test/__init__.py -worlds/zillion/test/TestGoal.py -worlds/zillion/test/TestOptions.py -worlds/zillion/test/TestReproducibleRandom.py -======= ->>>>>>> parent of 10ea81dc (Update .gitignore) -======= ->>>>>>> parent of fe196db0 (Removed zillion because it doesn't work) +.gitignore From 5820b1f7e7477835167edc701c7e1d3c87d31087 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 00:41:39 +0200 Subject: [PATCH 014/127] Delete .gitignore --- .gitignore | 201 ----------------------------------------------------- 1 file changed, 201 deletions(-) delete mode 100644 .gitignore diff --git a/.gitignore b/.gitignore deleted file mode 100644 index 56ea731c2232..000000000000 --- a/.gitignore +++ /dev/null @@ -1,201 +0,0 @@ -.idea -.vscode - -*_Spoiler.txt -*.bmbp -*.apbp -*.apl2ac -*.apm3 -*.apmc -*.apz5 -*.aptloz -*.apemerald -*.pyc 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-installer.log - -# Unit test / coverage reports -htmlcov/ -.tox/ -.nox/ -.coverage -.coverage.* -.cache -nosetests.xml -coverage.xml -*.cover -*.py,cover -.hypothesis/ -.pytest_cache/ -cover/ - - -# Flask stuff: -instance/ -.webassets-cache - -# Scrapy stuff: -.scrapy - -# Sphinx documentation -docs/_build/ - -# PyBuilder -.pybuilder/ -target/ - -# Jupyter Notebook -.ipynb_checkpoints - -# IPython -profile_default/ -ipython_config.py - -# vim editor -*.swp - -# SageMath parsed files -*.sage.py - -# Environments -.env -.venv* -env/ -venv/ -/venv*/ -ENV/ -env.bak/ -venv.bak/ -.code-workspace -shell.nix - -# Spyder project settings -.spyderproject -.spyproject - -# Rope project settings -.ropeproject - -# mkdocs documentation -/site - -# mypy -.mypy_cache/ -.dmypy.json -dmypy.json - -# Pyre type checker -.pyre/ - -# pytype static type analyzer -.pytype/ - -# Cython debug symbols -cython_debug/ - -# Cython intermediates -_speedups.cpp -_speedups.html - -# minecraft server stuff -jdk*/ 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343dce12673ad065baa63b93429aa1e3387ee1f9 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 13:29:23 +0200 Subject: [PATCH 016/127] Update .gitignore --- .gitignore | 1 + 1 file changed, 1 insertion(+) diff --git a/.gitignore b/.gitignore index a59b2feb7ea7..aa93ad8f7e48 100644 --- a/.gitignore +++ b/.gitignore @@ -885,3 +885,4 @@ worlds/witness/data/__pycache__/static_locations.cpython-311.pyc worlds/witness/data/__pycache__/static_logic.cpython-311.pyc worlds/witness/data/__pycache__/utils.cpython-311.pyc *.pyc +worlds/yachtdice.apworld From aed6696838d91582ebf6a85e36a75f588932a2d2 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 16:03:03 +0200 Subject: [PATCH 017/127] Update logic, added multiplicative categories --- worlds/yachtdice/Options.py | 2 +- worlds/yachtdice/Rules.py | 121 ++++++++----- worlds/yachtdice/__init__.py | 323 ++++++++++++++--------------------- 3 files changed, 211 insertions(+), 235 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 48f8571bce95..9fd47ce31476 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -155,7 +155,7 @@ class gameMode(Choice): display_name = "Game mode" option_standard = 1 option_points_mode = 2 - #option_extra_categories = 3 + option_extra_categories = 3 default = 1 class pointsGameMode(Choice): diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index a1926141eabc..3a198771000d 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -3,6 +3,41 @@ from .YachtWeights import yacht_weights import math +category_mappings = { + "Category Ones": "Ones", + "Category Twos": "Twos", + "Category Threes": "Threes", + "Category Fours": "Fours", + "Category Fives": "Fives", + "Category Sixes": "Sixes", + "Category Choice": "Choice", + "Category Inverse Choice": "Choice", + "Category Pair": "Pair", + "Category Three of a Kind": "ThreeOfAKind", + "Category Four of a Kind": "FourOfAKind", + "Category Tiny Straight": "TinyStraight", + "Category Small Straight": "SmallStraight", + "Category Large Straight": "LargeStraight", + "Category Full House": "FullHouse", + "Category Yacht": "Yacht", + "Category Distincts": "Distincts", + "Category Two times Ones": "TwoTimesOnes", + "Category Half of Sixes": "HalfOfSixes", + "Category Twos and Threes": "TwosAndThrees", + "Category Sum of Odds": "SumOfOdds", + "Category Sum of Evens": "SumOfEvens", + "Category Double Threes and Fours": "DoubleThreesAndFours", + "Category Quadruple Ones and Twos": "QuadrupleOnesAndTwos", + "Category Micro Straight": "MicroStraight", + "Category Three Odds": "ThreeOdds", + "Category 1-2-1 Consecutive": "OneTwoOneConsecutive", + "Category Three Distinct Dice": "ThreeDistinctDice", + "Category Two Pair": "TwoPair", + "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", + "Category Five Distinct Dice": "FiveDistinctDice", + "Category 4&5 Full House": "FourAndFiveFullHouse" +} + #This class adds logic to the apworld. #In short, we ran a simulation for every possible combination of dice and rolls you can have, per category. #This simulation has a good strategy for locking dice. @@ -11,9 +46,12 @@ #We then pick a correct percentile to reflect the correct score that should be in logic. #The score is logic is *much* lower than the actual maximum reachable score. + + class Category: - def __init__(self, name): + def __init__(self, name, mult = 1): self.name = name + self.multiplicity = mult #how many times you have the category #return mean score of a category def meanScore(self, nbDice, nbRolls): @@ -51,45 +89,10 @@ def extractProgression(state, player, options): categories = [] - category_mappings = { - "Category Ones": "Ones", - "Category Twos": "Twos", - "Category Threes": "Threes", - "Category Fours": "Fours", - "Category Fives": "Fives", - "Category Sixes": "Sixes", - "Category Choice": "Choice", - "Category Inverse Choice": "Choice", - "Category Pair": "Pair", - "Category Three of a Kind": "ThreeOfAKind", - "Category Four of a Kind": "FourOfAKind", - "Category Tiny Straight": "TinyStraight", - "Category Small Straight": "SmallStraight", - "Category Large Straight": "LargeStraight", - "Category Full House": "FullHouse", - "Category Yacht": "Yacht", - "Category Distincts": "Distincts", - "Category Two times Ones": "TwoTimesOnes", - "Category Half of Sixes": "HalfOfSixes", - "Category Twos and Threes": "TwosAndThrees", - "Category Sum of Odds": "SumOfOdds", - "Category Sum of Evens": "SumOfEvens", - "Category Double Threes and Fours": "DoubleThreesAndFours", - "Category Quadruple Ones and Twos": "QuadrupleOnesAndTwos", - "Category Micro Straight": "MicroStraight", - "Category Three Odds": "ThreeOdds", - "Category 1-2-1 Consecutive": "OneTwoOneConsecutive", - "Category Three Distinct Dice": "ThreeDistinctDice", - "Category Two Pair": "TwoPair", - "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", - "Category Five Distinct Dice": "FiveDistinctDice", - "Category 4&5 Full House": "FourAndFiveFullHouse" - } - for category_name, category_value in category_mappings.items(): - if state.has(category_name, player, 1): - categories.append(Category(category_value)) - + if state.count(category_name, player) >= 1: + categories += [Category(category_value, state.count(category_name, player))] + extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 @@ -102,7 +105,7 @@ def extractProgression(state, player, options): #Function that returns the feasible score in logic based on items obtained. def diceSimulationStrings(categories, nbDice, nbRolls, multiplier, diff, scoremulttype): - tup = tuple([tuple(sorted([c.name for c in categories])), nbDice, nbRolls, multiplier]) #identifier + tup = tuple([tuple(sorted([c.name+str(c.multiplicity) for c in categories])), nbDice, nbRolls, multiplier]) #identifier #if already computed, return the result if tup in yachtdice_cache.keys(): @@ -167,18 +170,19 @@ def percentile_distribution(dist, percentile): for key in dist.keys(): dist[key] /= 100000 + #for higher difficulties, the simulation gets multiple tries for categories. - dist = max_dist(dist, max(1, len(categories) // (6 - diff))) + dist = max_dist(dist, max(1, len(categories) // (10 - 2*diff))) cur_mult = -100 if scoremulttype == 1: #fixed cur_mult = multiplier if scoremulttype == 2: #step cur_mult = j * multiplier - total_dist = add_distributions(total_dist, dist, 1 + cur_mult ) + total_dist = add_distributions(total_dist, dist, (1 + cur_mult) * ( 2 ** (categories[j].multiplicity-1) )) #save result into the cache, then return it - yachtdice_cache[tup] = math.floor(percentile_distribution(total_dist, .40)) + yachtdice_cache[tup] = math.floor(percentile_distribution(total_dist, .20 + diff/10)) return yachtdice_cache[tup] # Returns the feasible score that one can reach with the current state, options and difficulty. @@ -187,7 +191,38 @@ def diceSimulation(state, player, options): return diceSimulationStrings(categories, nbDice, nbRolls, multiplier, options.game_difficulty.value, options.score_multiplier_type.value) + expoints +def calculateScoreInLogic(state, options): + number_of_dice = ( + state.count("Dice") + + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value + ) + + number_of_rerolls = ( + state.count("Roll") + + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value + ) + + number_of_mults = state.count("Score Multiplier") + + + score_mult = -10000 + if options.score_multiplier_type.value == 1: #fixed + score_mult = 0.1 * number_of_mults + if options.score_multiplier_type.value == 2: #step + score_mult = 0.01 * number_of_mults + + categories = [] + + for category_name, category_value in category_mappings.items(): + if state.count(category_name) >= 1: + categories += [Category(category_value, state.count(category_name))] + + extra_points_in_logic = state.count("1 Point") + extra_points_in_logic += state.count("10 Points") * 10 + extra_points_in_logic += state.count("100 Points") * 100 + return diceSimulationStrings(categories, number_of_dice, number_of_rerolls, score_mult, + options.game_difficulty.value, options.score_multiplier_type.value) + extra_points_in_logic # Sets rules on entrances and advancements that are always applied def set_yacht_rules(world: MultiWorld, player: int, options): diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 9c36f17afd74..97ce2b7ee156 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -2,12 +2,11 @@ from .Items import YachtDiceItem, item_table, ITEM_GROUPS from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions -from .Rules import set_yacht_rules, set_yacht_completion_rules, diceSimulation +from .Rules import set_yacht_rules, set_yacht_completion_rules, calculateScoreInLogic, diceSimulation from ..AutoWorld import World, WebWorld import math import logging - class YachtDiceWeb(WebWorld): tutorials = [Tutorial( "Multiworld Setup Guide", @@ -19,7 +18,6 @@ class YachtDiceWeb(WebWorld): ["Spineraks"] )] - class YachtDiceWorld(World): """ Yacht Dice is a straightforward game, custom-made for Archipelago, @@ -40,8 +38,7 @@ class YachtDiceWorld(World): item_name_groups = ITEM_GROUPS - ap_world_version = "1.0.1" - + ap_world_version = "1.1" def _get_yachtdice_data(self): return { @@ -51,10 +48,14 @@ def _get_yachtdice_data(self): "player_id": self.player, "race": self.multiworld.is_race, } - - - def create_items(self): + def generate_early(self): + self.itempool = [] + self.precollected = [] + + #calculate the maximum score goal: + game_difficulty = self.options.game_difficulty.value + #number of dice and rolls in the pull numDice = self.options.number_of_dice_and_rolls.value # either 5, 6, 7 or 8 numRolls = 10 - numDice # either 5, 4, 3 en 2 @@ -68,137 +69,160 @@ def create_items(self): #capped to be one less than number of fragments needed to complete a new dice/roll. exDiceF = max(0, min(amDiceF - 1, self.options.number_of_extra_dice_fragments.value) ) exRollsF = max(0, min(amRollsF - 1, self.options.number_of_extra_roll_fragments.value) ) + + #count number of plando items not from pool, we need extra locations for them + self.extra_plando_items = 0 - #Start the game with one dice, one roll, category choice and category inverse choice. - self.multiworld.push_precollected(self.create_item("Dice")) - self.multiworld.push_precollected(self.create_item("Roll")) + for plando_setting in self.multiworld.plando_items[self.player]: + if plando_setting.get("from_pool", False) is False: + self.extra_plando_items += sum(value for value in plando_setting["items"].values()) + + # Create a list with the specified number of 1s num_ones = self.options.alternative_categories.value categorylist = [1] * num_ones + [0] * (16 - num_ones) # Shuffle the list to randomize the order - self.multiworld.random.shuffle(categorylist) - - - - - item1 = ["Category Choice", "Category Double Threes and Fours"][categorylist[0]] - item2 = ["Category Inverse Choice", "Category Quadruple Ones and Twos"][categorylist[1]] - - self.multiworld.push_precollected(self.create_item(item1)) - self.multiworld.push_precollected(self.create_item(item2)) + self.multiworld.random.shuffle(categorylist) + + #add all categories. Note: not "choice" and "inverse choice", they are obtained at the start + all_categories = [ + ["Category Choice", "Category Double Threes and Fours"], + ["Category Inverse Choice", "Category Quadruple Ones and Twos"], + ["Category Ones", "Category Distincts"], + ["Category Twos", "Category Two times Ones"], + ["Category Threes", "Category Half of Sixes"], + ["Category Fours", "Category Twos and Threes"], + ["Category Fives", "Category Sum of Odds"], + ["Category Sixes", "Category Sum of Evens"], + ["Category Pair", "Category Micro Straight"], + ["Category Three of a Kind", "Category Three Odds"], + ["Category Four of a Kind", "Category 1-2-1 Consecutive"], + ["Category Tiny Straight", "Category Three Distinct Dice"], + ["Category Small Straight", "Category Two Pair"], + ["Category Large Straight", "Category 2-1-2 Consecutive"], + ["Category Full House", "Category Five Distinct Dice"], + ["Category Yacht", "Category 4&5 Full House"] + ] + + possible_categories = [] + for index, cats in enumerate(all_categories): + possible_categories += [cats[categorylist[index]]] + if index == 0 or index == 1: + self.precollected += [cats[categorylist[index]]] + else: + self.itempool += [cats[categorylist[index]]] + + + self.precollected += ["Roll"] + self.precollected += ["Dice"] - # Generate item pool. First add necessary items. Later complete the itempool to match locations. - itempool = [] - - - #if one fragment per dice, just add "Dice" objects + #if one fragment per dice, just add "Dice" objects if amDiceF == 1: - itempool += ["Dice"] * (numDice-1) #minus one because one is in start inventory + self.itempool += ["Dice"] * (numDice-1) #minus one because one is in start inventory else: - itempool += ["Dice"] #always add a full dice to make generation easier + self.itempool += ["Dice"] #always add a full dice to make generation easier #add dice fragments, note the -2 because one is added in the previous line, one is in start inventory - itempool += ["Dice Fragment"] * (amDiceF * (numDice-2) + exDiceF) + self.itempool += ["Dice Fragment"] * (amDiceF * (numDice-2) + exDiceF) #if one fragment per roll, just add "Roll" objects if amRollsF == 1: - itempool += ["Roll"] * (numRolls-1) #minus one because one is in start inventory + self.itempool += ["Roll"] * (numRolls-1) #minus one because one is in start inventory else: - itempool += ["Roll"] #always add a full roll to make generation easier + self.itempool += ["Roll"] #always add a full roll to make generation easier #add roll fragments, note the -2 because one is added in the previous line, one is in start inventory - itempool += ["Roll Fragment"] * (amRollsF * (numRolls-2) + exRollsF) + self.itempool += ["Roll Fragment"] * (amRollsF * (numRolls-2) + exRollsF) #always add exactly 10 score multipliers - itempool += ["Score Multiplier"] * 10 + self.itempool += ["Score Multiplier"] * 10 - #add all categories. Note: not "choice" and "inverse choice", they are obtained at the start - itempool += [["Category Ones", "Category Distincts"][categorylist[2]]] - itempool += [["Category Twos", "Category Two times Ones"][categorylist[3]]] - itempool += [["Category Threes", "Category Half of Sixes"][categorylist[4]]] - itempool += [["Category Fours", "Category Twos and Threes"][categorylist[5]]] - itempool += [["Category Fives", "Category Sum of Odds"][categorylist[6]]] - itempool += [["Category Sixes", "Category Sum of Evens"][categorylist[7]]] - - itempool += [["Category Pair", "Category Micro Straight"][categorylist[8]]] - itempool += [["Category Three of a Kind", "Category Three Odds"][categorylist[9]]] - itempool += [["Category Four of a Kind", "Category 1-2-1 Consecutive"][categorylist[10]]] - itempool += [["Category Tiny Straight", "Category Three Distinct Dice"][categorylist[11]]] - itempool += [["Category Small Straight", "Category Two Pair"][categorylist[12]]] - itempool += [["Category Large Straight", "Category 2-1-2 Consecutive"][categorylist[13]]] - itempool += [["Category Full House", "Category Five Distinct Dice"][categorylist[14]]] - itempool += [["Category Yacht", "Category 4&5 Full House"][categorylist[15]]] + #At this point, the itempool has all basic items. + scoreInLogic = calculateScoreInLogic(self.itempool+self.precollected, self.options) + already_items = len(self.itempool) + self.extra_plando_items + + if self.options.minimize_extra_items.value == 2: + extraPercentage = max(0.1, 0.5 - self.multiworld.players / 10) + else: + extraPercentage = 0.7 + + extraLocationsNeeded = max(10, math.ceil(already_items * extraPercentage)) + + if self.options.game_mode.value == 1: + self.max_score = scoreInLogic if self.options.game_mode.value == 2: + self.max_score = 1000 + self.extra_points_for_game_mode = self.max_score - scoreInLogic + if(self.options.points_game_mode.value >= 4): while self.extra_points_for_game_mode >= 89: #rather have 100 points than lot of smaller items - itempool += ["100 Points"] + self.itempool += ["100 Points"] self.extra_points_for_game_mode -= 100 if(self.options.points_game_mode.value >= 3): while self.extra_points_for_game_mode >= 7: #rather have 10 points that lot of 1 points. - itempool += ["10 Points"] + self.itempool += ["10 Points"] self.extra_points_for_game_mode -= 10 if(self.options.points_game_mode.value >= 2 and self.extra_points_for_game_mode > 0): - itempool += ["1 Point"] * self.extra_points_for_game_mode + self.itempool += ["1 Point"] * self.extra_points_for_game_mode + + if self.options.game_mode.value == 3: + self.max_score = 1000 + while calculateScoreInLogic(self.itempool+self.precollected, self.options) < 1000: + self.itempool += [self.multiworld.random.choice(possible_categories)] + + + #count the number of locations in the game. extra_plando_items is set in generate_early #and counts number of plando items *not* from pool. - already_items = len(itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + self.number_of_locations = already_items + extraLocationsNeeded - #the number of necessary items, should never exceed the number_of_locations - #if it does, there is some weird error, perhaps with plando. This should raise an error... - if already_items > self.number_of_locations: - raise Exception(f"In Yacht Dice, there are more items than locations ({already_items}, {self.number_of_locations})") - - - #note that self.number_of_locations is the number of locations EXCLUDING the victory location. - #and since the victory item is added later, we should have the number of items - #equal self.number_of_locations - - #From here, we'll count the number of items in the itempool, and add items to the pool, - #making sure not to exceed the number of locations. + # From here, we'll count the number of items in the self.itempool, and add items to the pool, + # making sure not to exceed the number of locations. #first, we flood the entire pool with extra points (useful), if that setting is chosen. if self.options.add_extra_points.value == 1: #all of the extra points - already_items = len(itempool) + self.extra_plando_items - itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 100) + already_items = len(self.itempool) + self.extra_plando_items + self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 100) - #first, we flood the entire pool with story chapters (filler), if that setting is chosen. + #second, we flood the entire pool with story chapters (filler), if that setting is chosen. if self.options.add_story_chapters.value == 1: #all of the story chapters - already_items = len(itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items number_of_items = min(self.number_of_locations - already_items, 100) number_of_items = (number_of_items // 10) * 10 #story chapters always come in multiples of 10 - itempool += ["Story Chapter"] * number_of_items + self.itempool += ["Story Chapter"] * number_of_items #add some extra points (useful) if self.options.add_extra_points.value == 2: #add extra points if wanted - already_items = len(itempool) + self.extra_plando_items - itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) + already_items = len(self.itempool) + self.extra_plando_items + self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) #add some story chapters (filler) if self.options.add_story_chapters.value == 2: #add extra points if wanted - already_items = len(itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items if(self.number_of_locations - already_items >= 10): - itempool += ["Story Chapter"] * 10 + self.itempool += ["Story Chapter"] * 10 #add some extra points if there is still room if self.options.add_extra_points.value == 2: - already_items = len(itempool) + self.extra_plando_items - itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) + already_items = len(self.itempool) + self.extra_plando_items + self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) #add some encouragements filler-items if there is still room - already_items = len(itempool) + self.extra_plando_items - itempool += ["Encouragement"] * min(self.number_of_locations - already_items, 5) + already_items = len(self.itempool) + self.extra_plando_items + self.itempool += ["Encouragement"] * min(self.number_of_locations - already_items, 5) #add some fun facts filler-items if there is still room - already_items = len(itempool) + self.extra_plando_items - itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) + already_items = len(self.itempool) + self.extra_plando_items + self.itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) #finally, add some "Good RNG" and "Bad RNG" items to complete the item pool #these items are filler and don't do anything. @@ -214,123 +238,33 @@ def create_items(self): elif self.options.game_difficulty.value == 4: p = 0.1 - already_items = len(itempool) + self.extra_plando_items - itempool += ["Good RNG" - for _ in range(self.number_of_locations - already_items)] + already_items = len(self.itempool) + self.extra_plando_items + self.itempool += self.multiworld.random.choices( + ["Good RNG", "Bad RNG"], + weights=[p, 1-p], + k=self.number_of_locations - already_items + ) #we're done adding items. Now because of the last step, number of items should be number of locations - already_items = len(itempool) + self.extra_plando_items - if len(itempool) != self.number_of_locations: - raise Exception(f"Number in itempool is not number of locations {len(itempool)} {self.number_of_locations}.") + already_items = len(self.itempool) + self.extra_plando_items + if len(self.itempool) != self.number_of_locations: + raise Exception(f"Number in self.itempool is not number of locations {len(self.itempool)} {self.number_of_locations}.") + + for item in self.precollected: + self.multiworld.push_precollected(self.create_item(item)) + def create_items(self): #convert strings to actual items - itempool = [item for item in map(lambda name: self.create_item(name), itempool)] + itempoolO = [item for item in map(lambda name: self.create_item(name), self.itempool)] #and add them to the itempool - for item in itempool: - self.multiworld.itempool += [item] - - - - - def set_rules(self): - #set rules per location, and add the rule for beating the game - set_yacht_rules(self.multiworld, self.player, self.options) - set_yacht_completion_rules(self.multiworld, self.player) - - maxScoreWithItems = diceSimulation(self.multiworld.get_all_state(False), self.player, self.options) - if self.goal_score > maxScoreWithItems: - raise Exception("In Yacht Dice, with all items in the pool, it is impossible to get to the goal.") - - - - - def generate_early(self): - #calculate the maximum score goal: - game_difficulty = self.options.game_difficulty.value - - self.max_score = 500 - if game_difficulty == 1: - self.max_score = 400 - elif game_difficulty == 2: - self.max_score = 500 - elif game_difficulty == 3: - self.max_score = 630 - elif game_difficulty == 4: - self.max_score = 683 - - self.extra_points_for_game_mode = 0 - if(self.options.game_mode.value == 2): - self.extra_points_for_game_mode = 1000 - self.max_score - self.max_score = 1000 - - - - #in generate early, we calculate the number of locations necessary, based on yaml options. - - numDice = self.options.number_of_dice_and_rolls.value - numRolls = 10 - numDice - - amDiceF = self.options.number_of_dice_fragments_per_dice.value - amRollsF = self.options.number_of_roll_fragments_per_roll.value - - exDiceF = max(0, min(amDiceF - 1, self.options.number_of_extra_dice_fragments.value) ) - exRollsF = max(0, min(amRollsF - 1, self.options.number_of_extra_roll_fragments.value) ) - - #count number of plando items not from pool, we need extra locations for them - self.extra_plando_items = 0 - - for plando_setting in self.multiworld.plando_items[self.player]: - if plando_setting.get("from_pool", False) is False: - self.extra_plando_items += sum(value for value in plando_setting["items"].values()) - - #number of locations should be at least number of items - #per line, dice, rolls, score multipliers, categories, plando items, victory item, extra points - min_number_of_locations = 1 + (numDice - 2) * amDiceF + exDiceF \ - + 1 + (numRolls - 2) * amRollsF + exRollsF \ - + 10 \ - + 16 \ - + self.extra_plando_items \ - + 1 - - - - #We need more locations with other items to make sure generation works. - #with single-player, we add 40%, which minimized generation fails. - - #When there are more worlds, we can lower the extra percentage of locations. - - #If Yacht Dice is matched with ONLY games with few locations like Clique, - # there is a very small chance of gen failure (around 1%) - #But otherwise it generates fine :) - - if self.options.minimize_extra_items.value == 2: - extraPercentage = max(1.1, 1.5 - self.multiworld.players / 10) - else: - extraPercentage = 1.7 - - min_number_of_locations = max(min_number_of_locations + 10, - math.ceil(min_number_of_locations * extraPercentage)) - - if self.options.game_mode.value == 2: - if(self.options.points_game_mode.value == 2): - min_number_of_locations += self.extra_points_for_game_mode - if(self.options.points_game_mode.value == 3): - min_number_of_locations += self.extra_points_for_game_mode // 10 + 10 - if(self.options.points_game_mode.value == 4): - min_number_of_locations += self.extra_points_for_game_mode // 100 + 20 - - #then to make sure generation works, we need to add locations, in case important items are placed late - #add at least 10 locations or 20%. - self.number_of_locations = min_number_of_locations + for item in itempoolO: + self.multiworld.itempool += [item] def create_regions(self): #we have no complicated regions, just one rule per location. - game_difficulty = self.options.game_difficulty.value - - #set the maximum score for which there is a check. - + game_difficulty = self.options.game_difficulty.value #call the ini_locations function, that generations locations based on the inputs. location_table = ini_locations(self.max_score, self.number_of_locations, game_difficulty) @@ -363,14 +297,21 @@ def create_regions(self): connection.connect(board) self.multiworld.regions += [menu, board] - - def pre_fill(self): + def set_rules(self): + #set rules per location, and add the rule for beating the game + set_yacht_rules(self.multiworld, self.player, self.options) + set_yacht_completion_rules(self.multiworld, self.player) + + maxScoreWithItems = diceSimulation(self.multiworld.get_all_state(False), self.player, self.options) + + if self.goal_score > maxScoreWithItems: + raise Exception("In Yacht Dice, with all items in the pool, it is impossible to get to the goal.") + def pre_fill(self): #in the pre_fill, make sure one dice and one roll is early, so that you'll have 2 dice and 2 rolls soon self.multiworld.early_items[self.player]["Dice"] = 1 self.multiworld.early_items[self.player]["Roll"] = 1 - #put more items early since we want less extra items. if self.options.minimize_extra_items.value == 2: self.multiworld.early_items[self.player]["Category Pair"] = 1 @@ -408,4 +349,4 @@ def fill_slot_data(self): def create_item(self, name: str) -> Item: item_data = item_table[name] item = YachtDiceItem(name, item_data.classification, item_data.code, self.player) - return item + return item \ No newline at end of file From d8540239b287556e3e8b8fa84f32aa0f6652cfbf Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 17:44:30 +0200 Subject: [PATCH 018/127] Changed difficulties --- worlds/yachtdice/Options.py | 3 ++- worlds/yachtdice/Rules.py | 18 +++++++++++------- worlds/yachtdice/__init__.py | 1 + 3 files changed, 14 insertions(+), 8 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 9fd47ce31476..a351da45ee7b 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -82,13 +82,14 @@ class gameDifficulty(Choice): Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. Medium: intended difficulty. If you play smart, you'll finish the game without any trouble. Hard: you may need to play smart, be lucky and understand the score multiplier mechanic. Higher final goal. - Extreme: more strict logic, higher final goal. NOT RECOMMENDED FOR MULTIWORLDS. + Extreme: more strict logic, higher final goal. ONLY FOR EXPERIENCES PLAYERS IN MULTIWORLDS. """ display_name = "Game difficulty" option_easy = 1 option_medium = 2 option_hard = 3 option_extreme = 4 + #option_nightmare = 5 default = 2 diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 3a198771000d..3807e2116d33 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -49,9 +49,9 @@ class Category: - def __init__(self, name, mult = 1): + def __init__(self, name, quantity = 1): self.name = name - self.multiplicity = mult #how many times you have the category + self.quantity = quantity #how many times you have the category #return mean score of a category def meanScore(self, nbDice, nbRolls): @@ -60,7 +60,7 @@ def meanScore(self, nbDice, nbRolls): meanScore = 0 for key in yacht_weights[self.name, min(8,nbDice), min(8,nbRolls)]: meanScore += key*yacht_weights[self.name, min(8,nbDice), min(8,nbRolls)][key]/100000 - return meanScore + return meanScore * self.quantity @@ -105,7 +105,7 @@ def extractProgression(state, player, options): #Function that returns the feasible score in logic based on items obtained. def diceSimulationStrings(categories, nbDice, nbRolls, multiplier, diff, scoremulttype): - tup = tuple([tuple(sorted([c.name+str(c.multiplicity) for c in categories])), nbDice, nbRolls, multiplier]) #identifier + tup = tuple([tuple(sorted([c.name+str(c.quantity) for c in categories])), nbDice, nbRolls, multiplier, diff, scoremulttype]) #identifier #if already computed, return the result if tup in yachtdice_cache.keys(): @@ -159,6 +159,10 @@ def percentile_distribution(dist, percentile): # Return the first value if percentile is lower than all probabilities return prev_val if prev_val is not None else sorted_values[0] + + percReturn = [0, 0.4, 0.4, 0.45, 0.45, 0.45][diff] + diffDivide = [0, 9, 5, 3, 2, 1][diff] + #calculate total distribution total_dist = {0: 1} for j in range(len(categories)): @@ -172,17 +176,17 @@ def percentile_distribution(dist, percentile): #for higher difficulties, the simulation gets multiple tries for categories. - dist = max_dist(dist, max(1, len(categories) // (10 - 2*diff))) + dist = max_dist(dist, max(1, len(categories) // diffDivide)) cur_mult = -100 if scoremulttype == 1: #fixed cur_mult = multiplier if scoremulttype == 2: #step cur_mult = j * multiplier - total_dist = add_distributions(total_dist, dist, (1 + cur_mult) * ( 2 ** (categories[j].multiplicity-1) )) + total_dist = add_distributions(total_dist, dist, (1 + cur_mult) * ( 2 ** (categories[j].quantity-1) )) #save result into the cache, then return it - yachtdice_cache[tup] = math.floor(percentile_distribution(total_dist, .20 + diff/10)) + yachtdice_cache[tup] = math.floor(percentile_distribution(total_dist, percReturn)) return yachtdice_cache[tup] # Returns the feasible score that one can reach with the current state, options and difficulty. diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 97ce2b7ee156..aeca814332b7 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -153,6 +153,7 @@ def generate_early(self): if self.options.game_mode.value == 1: self.max_score = scoreInLogic + print(f"Max score: {self.max_score}, difficulty {game_difficulty}") if self.options.game_mode.value == 2: self.max_score = 1000 From 796b17b3cbb2a078ad5eeaeda072aae5ea30ad65 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 25 May 2024 18:31:47 +0200 Subject: [PATCH 019/127] Update offline mode so that it works again --- worlds/yachtdice/Rules.py | 32 ++++++++++++++++---------------- worlds/yachtdice/YachtWeights.py | 2 +- 2 files changed, 17 insertions(+), 17 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 3807e2116d33..377ec7be7006 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -20,22 +20,22 @@ "Category Large Straight": "LargeStraight", "Category Full House": "FullHouse", "Category Yacht": "Yacht", - "Category Distincts": "Distincts", - "Category Two times Ones": "TwoTimesOnes", - "Category Half of Sixes": "HalfOfSixes", - "Category Twos and Threes": "TwosAndThrees", - "Category Sum of Odds": "SumOfOdds", - "Category Sum of Evens": "SumOfEvens", - "Category Double Threes and Fours": "DoubleThreesAndFours", - "Category Quadruple Ones and Twos": "QuadrupleOnesAndTwos", - "Category Micro Straight": "MicroStraight", - "Category Three Odds": "ThreeOdds", - "Category 1-2-1 Consecutive": "OneTwoOneConsecutive", - "Category Three Distinct Dice": "ThreeDistinctDice", - "Category Two Pair": "TwoPair", - "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", - "Category Five Distinct Dice": "FiveDistinctDice", - "Category 4&5 Full House": "FourAndFiveFullHouse" + "Category Distincts": "Ones", + "Category Two times Ones": "Twos", + "Category Half of Sixes": "Threes", + "Category Twos and Threes": "Sixes", + "Category Sum of Odds": "Fives", + "Category Sum of Evens": "Sixes", + "Category Double Threes and Fours": "Choice", + "Category Quadruple Ones and Twos": "Choice", + "Category Micro Straight": "Pair", + "Category Three Odds": "ThreeOfAKind", + "Category 1-2-1 Consecutive": "FourOfAKind", + "Category Three Distinct Dice": "TinyStraight", + "Category Two Pair": "SmallStraight", + "Category 2-1-2 Consecutive": "LargeStraight", + "Category Five Distinct Dice": "FullHouse", + "Category 4&5 Full House": "Yacht" } #This class adds logic to the apworld. diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 88d5cca5920f..b9939d8e11a8 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -5,4 +5,4 @@ #example: ("Choice", 2, 2): {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} #this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. #13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("Twos", 0, 0): {0: 100000}, ("Twos", 0, 1): {0: 100000}, ("Twos", 0, 2): {0: 100000}, ("Twos", 0, 3): {0: 100000}, ("Twos", 0, 4): {0: 100000}, ("Twos", 0, 5): {0: 100000}, ("Twos", 0, 6): {0: 100000}, ("Twos", 0, 7): {0: 100000}, ("Twos", 0, 8): {0: 100000}, ("Twos", 1, 0): {0: 100000}, ("Twos", 1, 1): {0: 83475, 2: 16525}, ("Twos", 1, 2): {0: 69690, 2: 30310}, ("Twos", 1, 3): {0: 57818, 2: 42182}, ("Twos", 1, 4): {0: 48418, 2: 51582}, ("Twos", 1, 5): {2: 59699, 0: 40301}, ("Twos", 1, 6): {2: 66442, 0: 33558}, ("Twos", 1, 7): {2: 71818, 0: 28182}, ("Twos", 1, 8): {0: 23406, 2: 76594}, ("Twos", 2, 0): {0: 100000}, ("Twos", 2, 1): {0: 69724, 2: 27485, 4: 2791}, ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, ("Twos", 2, 4): {2: 49957, 4: 26907, 0: 23136}, ("Twos", 2, 5): {4: 35654, 2: 48200, 0: 16146}, ("Twos", 2, 6): {4: 44420, 2: 44497, 0: 11083}, ("Twos", 2, 7): {4: 51995, 2: 40343, 0: 7662}, ("Twos", 2, 8): {4: 59120, 2: 35526, 0: 5354}, ("Twos", 3, 0): {0: 100000}, ("Twos", 3, 1): {2: 34522, 0: 58021, 4: 6995, 6: 462}, ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 19358, 6: 2833}, ("Twos", 3, 3): {2: 42372, 4: 30748, 0: 19375, 6: 7505}, ("Twos", 3, 4): {6: 13998, 4: 38569, 2: 36435, 0: 10998}, ("Twos", 3, 5): {4: 43283, 2: 28838, 6: 21360, 0: 6519}, ("Twos", 3, 6): {6: 29650, 4: 44233, 2: 22498, 0: 3619}, ("Twos", 3, 7): {6: 37142, 2: 16979, 4: 43684, 0: 2195}, ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, ("Twos", 4, 0): {0: 100000}, ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, ("Twos", 5, 0): {0: 100000}, ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 2658}, ("Twos", 5, 5): {4: 23643, 8: 25853, 10: 7495, 6: 33993, 0: 1032, 2: 7984}, ("Twos", 5, 6): {6: 32774, 2: 4152, 8: 32900, 10: 13183, 0: 450, 4: 16541}, ("Twos", 5, 7): {6: 29481, 8: 37636, 10: 19256, 4: 11231, 2: 2226, 0: 170}, ("Twos", 5, 8): {10: 26467, 8: 40798, 6: 23993, 4: 7571, 2: 1108, 0: 63}, ("Twos", 6, 0): {0: 100000}, ("Twos", 6, 1): {0: 33502, 4: 19717, 2: 40413, 6: 5481, 8: 815, 10: 68, 12: 4}, ("Twos", 6, 2): {2: 29638, 8: 6339, 4: 32701, 0: 11210, 6: 18988, 10: 1046, 12: 78}, ("Twos", 6, 3): {6: 29102, 2: 16459, 8: 15825, 4: 29795, 0: 3673, 10: 4581, 12: 565}, ("Twos", 6, 4): {2: 8048, 8: 25066, 4: 21977, 6: 31053, 10: 10654, 12: 1959, 0: 1243}, ("Twos", 6, 5): {10: 18355, 4: 13949, 6: 28142, 8: 30723, 2: 3753, 12: 4637, 0: 441}, ("Twos", 6, 6): {10: 26213, 6: 22222, 4: 8455, 8: 32692, 12: 8618, 2: 1679, 0: 121}, ("Twos", 6, 7): {10: 32532, 8: 31410, 6: 16142, 12: 14270, 4: 4871, 2: 728, 0: 47}, ("Twos", 6, 8): {12: 20612, 6: 11432, 10: 37237, 8: 27864, 4: 2544, 2: 299, 0: 12}, ("Twos", 7, 0): {0: 100000}, ("Twos", 7, 1): {2: 39060, 0: 27683, 8: 1580, 4: 23574, 6: 7899, 10: 192, 12: 12}, ("Twos", 7, 2): {2: 24031, 6: 23095, 4: 31764, 0: 7824, 8: 10154, 10: 2733, 12: 376, 14: 23}, ("Twos", 7, 3): {2: 11019, 6: 29599, 10: 9338, 8: 21250, 0: 2148, 4: 24197, 12: 2233, 14: 216}, ("Twos", 7, 4): {10: 18080, 6: 26395, 4: 14571, 8: 28409, 2: 4465, 12: 6519, 14: 997, 0: 564}, ("Twos", 7, 5): {8: 29039, 2: 1738, 10: 26129, 6: 19287, 4: 7911, 14: 2798, 12: 12923, 0: 175}, ("Twos", 7, 6): {8: 25752, 10: 30413, 6: 12897, 14: 5951, 12: 20324, 4: 3961, 0: 54, 2: 648}, ("Twos", 7, 7): {12: 27347, 14: 10079, 10: 32054, 6: 8007, 8: 20334, 4: 1926, 2: 240, 0: 13}, ("Twos", 7, 8): {8: 15233, 10: 30248, 14: 15699, 12: 33276, 6: 4602, 4: 861, 2: 76, 0: 5}, ("Twos", 8, 0): {0: 100000}, ("Twos", 8, 1): {0: 23378, 6: 10451, 2: 37157, 4: 26082, 8: 2497, 10: 391, 12: 44}, ("Twos", 8, 2): {8: 14198, 4: 29216, 12: 1104, 6: 25677, 0: 5420, 2: 19164, 10: 5089, 14: 127, 16: 5}, ("Twos", 8, 3): {4: 18793, 12: 5201, 6: 27054, 10: 14462, 8: 24712, 2: 7289, 14: 1109, 0: 1271, 16: 109}, ("Twos", 8, 4): {8: 27389, 12: 12609, 10: 23232, 4: 9310, 6: 20242, 14: 3815, 16: 514, 2: 2604, 0: 285}, ("Twos", 8, 5): {10: 27882, 12: 20768, 16: 1604, 6: 12669, 8: 23322, 14: 8692, 4: 4184, 0: 58, 2: 821}, ("Twos", 8, 6): {8: 17148, 12: 27048, 10: 27398, 14: 15513, 6: 6992, 16: 3860, 2: 251, 4: 1774, 0: 16}, ("Twos", 8, 7): {8: 11479, 10: 23675, 6: 3547, 14: 22454, 12: 30829, 16: 7275, 4: 667, 2: 71, 0: 3}, ("Twos", 8, 8): {10: 18697, 14: 28983, 12: 31310, 16: 11977, 4: 286, 8: 6980, 6: 1746, 2: 21}, ("Threes", 0, 0): {0: 100000}, ("Threes", 0, 1): {0: 100000}, ("Threes", 0, 2): {0: 100000}, ("Threes", 0, 3): {0: 100000}, ("Threes", 0, 4): {0: 100000}, ("Threes", 0, 5): {0: 100000}, ("Threes", 0, 6): {0: 100000}, ("Threes", 0, 7): {0: 100000}, ("Threes", 0, 8): {0: 100000}, ("Threes", 1, 0): {0: 100000}, ("Threes", 1, 1): {0: 83343, 3: 16657}, ("Threes", 1, 2): {0: 69569, 3: 30431}, ("Threes", 1, 3): {0: 57872, 3: 42128}, ("Threes", 1, 4): {3: 51919, 0: 48081}, ("Threes", 1, 5): {0: 40271, 3: 59729}, ("Threes", 1, 6): {3: 66799, 0: 33201}, ("Threes", 1, 7): {3: 72097, 0: 27903}, ("Threes", 1, 8): {3: 76760, 0: 23240}, ("Threes", 2, 0): {0: 100000}, ("Threes", 2, 1): {0: 69419, 6: 2783, 3: 27798}, ("Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, ("Threes", 2, 3): {6: 17775, 0: 33376, 3: 48849}, ("Threes", 2, 4): {3: 49810, 6: 26914, 0: 23276}, ("Threes", 2, 5): {6: 36190, 3: 47718, 0: 16092}, ("Threes", 2, 6): {6: 44253, 3: 44515, 0: 11232}, ("Threes", 2, 7): {6: 51952, 3: 40459, 0: 7589}, ("Threes", 2, 8): {3: 35804, 6: 58749, 0: 5447}, ("Threes", 3, 0): {0: 100000}, ("Threes", 3, 1): {0: 57964, 6: 6868, 3: 34701, 9: 467}, ("Threes", 3, 2): {3: 44263, 0: 33637, 6: 19213, 9: 2887}, ("Threes", 3, 3): {3: 42382, 6: 30676, 0: 19520, 9: 7422}, ("Threes", 3, 4): {3: 35772, 6: 39042, 0: 11265, 9: 13921}, ("Threes", 3, 5): {3: 28916, 9: 21404, 6: 43261, 0: 6419}, ("Threes", 3, 6): {3: 22496, 9: 29306, 6: 44388, 0: 3810}, ("Threes", 3, 7): {6: 43720, 9: 37231, 3: 16875, 0: 2174}, ("Threes", 3, 8): {9: 45070, 6: 41222, 3: 12471, 0: 1237}, ("Threes", 4, 0): {0: 100000}, ("Threes", 4, 1): {3: 38786, 0: 48121, 9: 1483, 6: 11540, 12: 70}, ("Threes", 4, 2): {3: 40989, 0: 23296, 6: 26998, 9: 7851, 12: 866}, ("Threes", 4, 3): {3: 32653, 12: 3183, 6: 35710, 9: 17221, 0: 11233}, ("Threes", 4, 4): {9: 26734, 6: 37468, 3: 23270, 12: 7065, 0: 5463}, ("Threes", 4, 5): {6: 34539, 9: 34635, 3: 15496, 12: 12639, 0: 2691}, ("Threes", 4, 6): {12: 19732, 9: 39190, 6: 29811, 3: 10046, 0: 1221}, ("Threes", 4, 7): {0: 599, 3: 6322, 6: 24420, 12: 27045, 9: 41614}, ("Threes", 4, 8): {12: 34736, 9: 42236, 6: 18843, 3: 3876, 0: 309}, ("Threes", 5, 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('ThreeDistinctDice', 1, 1): {20: 0, 0: 100000}, ('TwoPair', 1, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 1): {50: 0, 0: 100000}, ('Distincts', 1, 2): {1: 100000}, ('TwoTimesOnes', 1, 2): {1.5: 100000}, ('HalfOfSixes', 1, 2): {2.5: 100000}, ('TwosAndThrees', 1, 2): {2.5: 100000}, ('SumOfOdds', 1, 2): {3.0: 100000}, ('SumOfEvens', 1, 2): {4.0: 100000}, ('DoubleThreesAndFours', 1, 2): {5.0: 100000}, ('QuadrupleOnesAndTwos', 1, 2): {5.0: 100000}, ('MicroStraight', 1, 2): {10: 0, 0: 100000}, ('ThreeOdds', 1, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 2): {20: 0, 0: 100000}, ('TwoPair', 1, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 2): {50: 0, 0: 100000}, ('Distincts', 1, 3): {1: 100000}, ('TwoTimesOnes', 1, 3): {1.6666666666666667: 100000}, ('HalfOfSixes', 1, 3): {2.6666666666666665: 100000}, ('TwosAndThrees', 1, 3): {2.6666666666666665: 100000}, ('SumOfOdds', 1, 3): {3.3333333333333335: 100000}, ('SumOfEvens', 1, 3): {4.333333333333333: 100000}, ('DoubleThreesAndFours', 1, 3): {5.333333333333333: 100000}, ('QuadrupleOnesAndTwos', 1, 3): {5.333333333333333: 100000}, ('MicroStraight', 1, 3): {10: 0, 0: 100000}, ('ThreeOdds', 1, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 3): {20: 0, 0: 100000}, ('TwoPair', 1, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 3): {50: 0, 0: 100000}, ('Distincts', 1, 4): {1: 100000}, ('TwoTimesOnes', 1, 4): {1.75: 100000}, ('HalfOfSixes', 1, 4): {2.75: 100000}, ('TwosAndThrees', 1, 4): {2.75: 100000}, ('SumOfOdds', 1, 4): {3.5: 100000}, ('SumOfEvens', 1, 4): {4.5: 100000}, ('DoubleThreesAndFours', 1, 4): {5.5: 100000}, ('QuadrupleOnesAndTwos', 1, 4): {5.5: 100000}, ('MicroStraight', 1, 4): {10: 0, 0: 100000}, ('ThreeOdds', 1, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 4): {20: 0, 0: 100000}, ('TwoPair', 1, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 4): {50: 0, 0: 100000}, ('Distincts', 1, 5): {1: 100000}, ('TwoTimesOnes', 1, 5): {1.8: 100000}, ('HalfOfSixes', 1, 5): {2.8: 100000}, ('TwosAndThrees', 1, 5): {2.8: 100000}, ('SumOfOdds', 1, 5): {3.6: 100000}, ('SumOfEvens', 1, 5): {4.6: 100000}, ('DoubleThreesAndFours', 1, 5): {5.6: 100000}, ('QuadrupleOnesAndTwos', 1, 5): {5.6: 100000}, ('MicroStraight', 1, 5): {10: 0, 0: 100000}, ('ThreeOdds', 1, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 5): {20: 0, 0: 100000}, ('TwoPair', 1, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 5): {50: 0, 0: 100000}, ('Distincts', 1, 6): {1: 100000}, ('TwoTimesOnes', 1, 6): {1.8333333333333333: 100000}, ('HalfOfSixes', 1, 6): {2.8333333333333335: 100000}, ('TwosAndThrees', 1, 6): {2.8333333333333335: 100000}, ('SumOfOdds', 1, 6): {3.6666666666666665: 100000}, ('SumOfEvens', 1, 6): {4.666666666666667: 100000}, ('DoubleThreesAndFours', 1, 6): {5.666666666666667: 100000}, ('QuadrupleOnesAndTwos', 1, 6): {5.666666666666667: 100000}, ('MicroStraight', 1, 6): {10: 0, 0: 100000}, ('ThreeOdds', 1, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 6): {20: 0, 0: 100000}, ('TwoPair', 1, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 6): {50: 0, 0: 100000}, ('Distincts', 1, 7): {1: 100000}, ('TwoTimesOnes', 1, 7): {1.8571428571428572: 100000}, ('HalfOfSixes', 1, 7): {2.857142857142857: 100000}, ('TwosAndThrees', 1, 7): {2.857142857142857: 100000}, ('SumOfOdds', 1, 7): {3.7142857142857144: 100000}, ('SumOfEvens', 1, 7): {4.714285714285714: 100000}, ('DoubleThreesAndFours', 1, 7): {5.714285714285714: 100000}, ('QuadrupleOnesAndTwos', 1, 7): {5.714285714285714: 100000}, ('MicroStraight', 1, 7): {10: 0, 0: 100000}, ('ThreeOdds', 1, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 7): {20: 0, 0: 100000}, ('TwoPair', 1, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 7): {50: 0, 0: 100000}, ('Distincts', 1, 8): {1: 100000}, ('TwoTimesOnes', 1, 8): {1.875: 100000}, ('HalfOfSixes', 1, 8): {2.875: 100000}, ('TwosAndThrees', 1, 8): {2.875: 100000}, ('SumOfOdds', 1, 8): {3.75: 100000}, ('SumOfEvens', 1, 8): {4.75: 100000}, ('DoubleThreesAndFours', 1, 8): {5.75: 100000}, ('QuadrupleOnesAndTwos', 1, 8): {5.75: 100000}, ('MicroStraight', 1, 8): {10: 0, 0: 100000}, ('ThreeOdds', 1, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 1, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 1, 8): {20: 0, 0: 100000}, ('TwoPair', 1, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 1, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 1, 8): {50: 0, 0: 100000}, ('Distincts', 2, 1): {2: 100000}, ('TwoTimesOnes', 2, 1): {2.0: 100000}, ('HalfOfSixes', 2, 1): {4.0: 100000}, ('TwosAndThrees', 2, 1): {4.0: 100000}, ('SumOfOdds', 2, 1): {4.0: 100000}, ('SumOfEvens', 2, 1): {6.0: 100000}, ('DoubleThreesAndFours', 2, 1): {8.0: 100000}, ('QuadrupleOnesAndTwos', 2, 1): {8.0: 100000}, ('MicroStraight', 2, 1): {10: 0, 0: 100000}, ('ThreeOdds', 2, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 1): {20: 0, 0: 100000}, ('TwoPair', 2, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 1): {50: 0, 0: 100000}, ('Distincts', 2, 2): {2: 100000}, ('TwoTimesOnes', 2, 2): {3.0: 100000}, ('HalfOfSixes', 2, 2): {5.0: 100000}, ('TwosAndThrees', 2, 2): {5.0: 100000}, ('SumOfOdds', 2, 2): {6.0: 100000}, ('SumOfEvens', 2, 2): {8.0: 100000}, ('DoubleThreesAndFours', 2, 2): {10.0: 100000}, ('QuadrupleOnesAndTwos', 2, 2): {10.0: 100000}, ('MicroStraight', 2, 2): {10: 0, 0: 100000}, ('ThreeOdds', 2, 2): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 2): {20: 0, 0: 100000}, ('TwoPair', 2, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 2): {50: 0, 0: 100000}, ('Distincts', 2, 3): {2: 100000}, ('TwoTimesOnes', 2, 3): {3.3333333333333335: 100000}, ('HalfOfSixes', 2, 3): {5.333333333333333: 100000}, ('TwosAndThrees', 2, 3): {5.333333333333333: 100000}, ('SumOfOdds', 2, 3): {6.666666666666667: 100000}, ('SumOfEvens', 2, 3): {8.666666666666666: 100000}, ('DoubleThreesAndFours', 2, 3): {10.666666666666666: 100000}, ('QuadrupleOnesAndTwos', 2, 3): {10.666666666666666: 100000}, ('MicroStraight', 2, 3): {10: 0, 0: 100000}, ('ThreeOdds', 2, 3): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 3): {20: 0, 0: 100000}, ('TwoPair', 2, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 3): {50: 0, 0: 100000}, ('Distincts', 2, 4): {2: 100000}, ('TwoTimesOnes', 2, 4): {3.5: 100000}, ('HalfOfSixes', 2, 4): {5.5: 100000}, ('TwosAndThrees', 2, 4): {5.5: 100000}, ('SumOfOdds', 2, 4): {7.0: 100000}, ('SumOfEvens', 2, 4): {9.0: 100000}, ('DoubleThreesAndFours', 2, 4): {11.0: 100000}, ('QuadrupleOnesAndTwos', 2, 4): {11.0: 100000}, ('MicroStraight', 2, 4): {10: 0, 0: 100000}, ('ThreeOdds', 2, 4): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 4): {20: 0, 0: 100000}, ('TwoPair', 2, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 4): {50: 0, 0: 100000}, ('Distincts', 2, 5): {2: 100000}, ('TwoTimesOnes', 2, 5): {3.6: 100000}, ('HalfOfSixes', 2, 5): {5.6: 100000}, ('TwosAndThrees', 2, 5): {5.6: 100000}, ('SumOfOdds', 2, 5): {7.2: 100000}, ('SumOfEvens', 2, 5): {9.2: 100000}, ('DoubleThreesAndFours', 2, 5): {11.2: 100000}, ('QuadrupleOnesAndTwos', 2, 5): {11.2: 100000}, ('MicroStraight', 2, 5): {10: 0, 0: 100000}, ('ThreeOdds', 2, 5): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 5): {20: 0, 0: 100000}, ('TwoPair', 2, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 5): {50: 0, 0: 100000}, ('Distincts', 2, 6): {2: 100000}, ('TwoTimesOnes', 2, 6): {3.6666666666666665: 100000}, ('HalfOfSixes', 2, 6): {5.666666666666667: 100000}, ('TwosAndThrees', 2, 6): {5.666666666666667: 100000}, ('SumOfOdds', 2, 6): {7.333333333333333: 100000}, ('SumOfEvens', 2, 6): {9.333333333333334: 100000}, ('DoubleThreesAndFours', 2, 6): {11.333333333333334: 100000}, ('QuadrupleOnesAndTwos', 2, 6): {11.333333333333334: 100000}, ('MicroStraight', 2, 6): {10: 0, 0: 100000}, ('ThreeOdds', 2, 6): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 6): {20: 0, 0: 100000}, ('TwoPair', 2, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 6): {50: 0, 0: 100000}, ('Distincts', 2, 7): {2: 100000}, ('TwoTimesOnes', 2, 7): {3.7142857142857144: 100000}, ('HalfOfSixes', 2, 7): {5.714285714285714: 100000}, ('TwosAndThrees', 2, 7): {5.714285714285714: 100000}, ('SumOfOdds', 2, 7): {7.428571428571429: 100000}, ('SumOfEvens', 2, 7): {9.428571428571429: 100000}, ('DoubleThreesAndFours', 2, 7): {11.428571428571429: 100000}, ('QuadrupleOnesAndTwos', 2, 7): {11.428571428571429: 100000}, ('MicroStraight', 2, 7): {10: 0, 0: 100000}, ('ThreeOdds', 2, 7): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 7): {20: 0, 0: 100000}, ('TwoPair', 2, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 7): {50: 0, 0: 100000}, ('Distincts', 2, 8): {2: 100000}, ('TwoTimesOnes', 2, 8): {3.75: 100000}, ('HalfOfSixes', 2, 8): {5.75: 100000}, ('TwosAndThrees', 2, 8): {5.75: 100000}, ('SumOfOdds', 2, 8): {7.5: 100000}, ('SumOfEvens', 2, 8): {9.5: 100000}, ('DoubleThreesAndFours', 2, 8): {11.5: 100000}, ('QuadrupleOnesAndTwos', 2, 8): {11.5: 100000}, ('MicroStraight', 2, 8): {10: 0, 0: 100000}, ('ThreeOdds', 2, 8): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 2, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 2, 8): {20: 0, 0: 100000}, ('TwoPair', 2, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 2, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 2, 8): {50: 0, 0: 100000}, ('Distincts', 3, 1): {3: 100000}, ('TwoTimesOnes', 3, 1): {3.0: 100000}, ('HalfOfSixes', 3, 1): {6.0: 100000}, ('TwosAndThrees', 3, 1): {6.0: 100000}, ('SumOfOdds', 3, 1): {6.0: 100000}, ('SumOfEvens', 3, 1): {9.0: 100000}, ('DoubleThreesAndFours', 3, 1): {12.0: 100000}, ('QuadrupleOnesAndTwos', 3, 1): {12.0: 100000}, ('MicroStraight', 3, 1): {10: 0, 0: 100000}, ('ThreeOdds', 3, 1): {20: 0, 0: 100000}, ('OneTwoOneConsecutive', 3, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 1): {20: 0, 0: 100000}, ('TwoPair', 3, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 1): {50: 0, 0: 100000}, ('Distincts', 3, 2): {3: 100000}, ('TwoTimesOnes', 3, 2): {4.5: 100000}, ('HalfOfSixes', 3, 2): {7.5: 100000}, ('TwosAndThrees', 3, 2): {7.5: 100000}, ('SumOfOdds', 3, 2): {9.0: 100000}, ('SumOfEvens', 3, 2): {12.0: 100000}, ('DoubleThreesAndFours', 3, 2): {15.0: 100000}, ('QuadrupleOnesAndTwos', 3, 2): {15.0: 100000}, ('MicroStraight', 3, 2): {10: 44999.99999999999, 0: 55000.00000000001}, ('ThreeOdds', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('OneTwoOneConsecutive', 3, 2): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 2): {20: 44999.99999999999, 0: 55000.00000000001}, ('TwoPair', 3, 2): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 2): {50: 0, 0: 100000}, ('Distincts', 3, 3): {3: 100000}, ('TwoTimesOnes', 3, 3): {5.0: 100000}, ('HalfOfSixes', 3, 3): {8.0: 100000}, ('TwosAndThrees', 3, 3): {8.0: 100000}, ('SumOfOdds', 3, 3): {10.0: 100000}, ('SumOfEvens', 3, 3): {13.0: 100000}, ('DoubleThreesAndFours', 3, 3): {16.0: 100000}, ('QuadrupleOnesAndTwos', 3, 3): {16.0: 100000}, ('MicroStraight', 3, 3): {10: 63333.33333333333, 0: 36666.66666666667}, ('ThreeOdds', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('OneTwoOneConsecutive', 3, 3): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 3): {20: 63333.33333333333, 0: 36666.66666666667}, ('TwoPair', 3, 3): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 3): {50: 0, 0: 100000}, ('Distincts', 3, 4): {3: 100000}, ('TwoTimesOnes', 3, 4): {5.25: 100000}, ('HalfOfSixes', 3, 4): {8.25: 100000}, ('TwosAndThrees', 3, 4): {8.25: 100000}, ('SumOfOdds', 3, 4): {10.5: 100000}, ('SumOfEvens', 3, 4): {13.5: 100000}, ('DoubleThreesAndFours', 3, 4): {16.5: 100000}, ('QuadrupleOnesAndTwos', 3, 4): {16.5: 100000}, ('MicroStraight', 3, 4): {10: 72500.0, 0: 27500.000000000004}, ('ThreeOdds', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('OneTwoOneConsecutive', 3, 4): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 4): {20: 72500.0, 0: 27500.000000000004}, ('TwoPair', 3, 4): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 4): {50: 0, 0: 100000}, ('Distincts', 3, 5): {3: 100000}, ('TwoTimesOnes', 3, 5): {5.4: 100000}, ('HalfOfSixes', 3, 5): {8.399999999999999: 100000}, ('TwosAndThrees', 3, 5): {8.399999999999999: 100000}, ('SumOfOdds', 3, 5): {10.8: 100000}, ('SumOfEvens', 3, 5): {13.799999999999999: 100000}, ('DoubleThreesAndFours', 3, 5): {16.799999999999997: 100000}, ('QuadrupleOnesAndTwos', 3, 5): {16.799999999999997: 100000}, ('MicroStraight', 3, 5): {10: 78000.0, 0: 21999.999999999996}, ('ThreeOdds', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('OneTwoOneConsecutive', 3, 5): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 5): {20: 78000.0, 0: 21999.999999999996}, ('TwoPair', 3, 5): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 5): {50: 0, 0: 100000}, ('Distincts', 3, 6): {3: 100000}, ('TwoTimesOnes', 3, 6): {5.5: 100000}, ('HalfOfSixes', 3, 6): {8.5: 100000}, ('TwosAndThrees', 3, 6): {8.5: 100000}, ('SumOfOdds', 3, 6): {11.0: 100000}, ('SumOfEvens', 3, 6): {14.0: 100000}, ('DoubleThreesAndFours', 3, 6): {17.0: 100000}, ('QuadrupleOnesAndTwos', 3, 6): {17.0: 100000}, ('MicroStraight', 3, 6): {10: 81666.66666666667, 0: 18333.333333333336}, ('ThreeOdds', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('OneTwoOneConsecutive', 3, 6): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 6): {20: 81666.66666666667, 0: 18333.333333333336}, ('TwoPair', 3, 6): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 6): {50: 0, 0: 100000}, ('Distincts', 3, 7): {3: 100000}, ('TwoTimesOnes', 3, 7): {5.571428571428571: 100000}, ('HalfOfSixes', 3, 7): {8.571428571428571: 100000}, ('TwosAndThrees', 3, 7): {8.571428571428571: 100000}, ('SumOfOdds', 3, 7): {11.142857142857142: 100000}, ('SumOfEvens', 3, 7): {14.142857142857142: 100000}, ('DoubleThreesAndFours', 3, 7): {17.142857142857142: 100000}, ('QuadrupleOnesAndTwos', 3, 7): {17.142857142857142: 100000}, ('MicroStraight', 3, 7): {10: 84285.71428571429, 0: 15714.285714285714}, ('ThreeOdds', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('OneTwoOneConsecutive', 3, 7): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 7): {20: 84285.71428571429, 0: 15714.285714285714}, ('TwoPair', 3, 7): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 7): {50: 0, 0: 100000}, ('Distincts', 3, 8): {3: 100000}, ('TwoTimesOnes', 3, 8): {5.625: 100000}, ('HalfOfSixes', 3, 8): {8.625: 100000}, ('TwosAndThrees', 3, 8): {8.625: 100000}, ('SumOfOdds', 3, 8): {11.25: 100000}, ('SumOfEvens', 3, 8): {14.25: 100000}, ('DoubleThreesAndFours', 3, 8): {17.25: 100000}, ('QuadrupleOnesAndTwos', 3, 8): {17.25: 100000}, ('MicroStraight', 3, 8): {10: 86250.0, 0: 13749.999999999996}, ('ThreeOdds', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('OneTwoOneConsecutive', 3, 8): {30: 0, 0: 100000}, ('ThreeDistinctDice', 3, 8): {20: 86250.0, 0: 13749.999999999996}, ('TwoPair', 3, 8): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 3, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 3, 8): {50: 0, 0: 100000}, ('Distincts', 4, 1): {4: 100000}, ('TwoTimesOnes', 4, 1): {4.0: 100000}, ('HalfOfSixes', 4, 1): {8.0: 100000}, ('TwosAndThrees', 4, 1): {8.0: 100000}, ('SumOfOdds', 4, 1): {8.0: 100000}, ('SumOfEvens', 4, 1): {12.0: 100000}, ('DoubleThreesAndFours', 4, 1): {16.0: 100000}, ('QuadrupleOnesAndTwos', 4, 1): {16.0: 100000}, ('MicroStraight', 4, 1): {10: 89999.99999999999, 0: 10000.00000000001}, ('ThreeOdds', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('OneTwoOneConsecutive', 4, 1): {30: 0, 0: 100000}, ('ThreeDistinctDice', 4, 1): {20: 89999.99999999999, 0: 10000.00000000001}, ('TwoPair', 4, 1): {30: 0, 0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 1): {50: 0, 0: 100000}, ('Distincts', 4, 2): {4: 100000}, ('TwoTimesOnes', 4, 2): {6.0: 100000}, ('HalfOfSixes', 4, 2): {10.0: 100000}, ('TwosAndThrees', 4, 2): {10.0: 100000}, ('SumOfOdds', 4, 2): {12.0: 100000}, ('SumOfEvens', 4, 2): {16.0: 100000}, ('DoubleThreesAndFours', 4, 2): {20.0: 100000}, ('QuadrupleOnesAndTwos', 4, 2): {20.0: 100000}, ('MicroStraight', 4, 2): {10: 100000, 0: 0}, ('ThreeOdds', 4, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 2): {30: 40000.0, 0: 60000.0}, ('ThreeDistinctDice', 4, 2): {20: 100000, 0: 0}, ('TwoPair', 4, 2): {30: 50000.0, 0: 50000.0}, ('TwoOneTwoConsecutive', 4, 2): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 2): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 2): {50: 0, 0: 100000}, ('Distincts', 4, 3): {4: 100000}, ('TwoTimesOnes', 4, 3): {6.666666666666667: 100000}, ('HalfOfSixes', 4, 3): {10.666666666666666: 100000}, ('TwosAndThrees', 4, 3): {10.666666666666666: 100000}, ('SumOfOdds', 4, 3): {13.333333333333334: 100000}, ('SumOfEvens', 4, 3): {17.333333333333332: 100000}, ('DoubleThreesAndFours', 4, 3): {21.333333333333332: 100000}, ('QuadrupleOnesAndTwos', 4, 3): {21.333333333333332: 100000}, ('MicroStraight', 4, 3): {10: 100000, 0: 0}, ('ThreeOdds', 4, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 3): {30: 60000.00000000001, 0: 39999.99999999999}, ('ThreeDistinctDice', 4, 3): {20: 100000, 0: 0}, ('TwoPair', 4, 3): {30: 66666.66666666667, 0: 33333.33333333333}, ('TwoOneTwoConsecutive', 4, 3): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 3): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 3): {50: 0, 0: 100000}, ('Distincts', 4, 4): {4: 100000}, ('TwoTimesOnes', 4, 4): {7.0: 100000}, ('HalfOfSixes', 4, 4): {11.0: 100000}, ('TwosAndThrees', 4, 4): {11.0: 100000}, ('SumOfOdds', 4, 4): {14.0: 100000}, ('SumOfEvens', 4, 4): {18.0: 100000}, ('DoubleThreesAndFours', 4, 4): {22.0: 100000}, ('QuadrupleOnesAndTwos', 4, 4): {22.0: 100000}, ('MicroStraight', 4, 4): {10: 100000, 0: 0}, ('ThreeOdds', 4, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 4): {30: 70000.0, 0: 30000.000000000004}, ('ThreeDistinctDice', 4, 4): {20: 100000, 0: 0}, ('TwoPair', 4, 4): {30: 75000.0, 0: 25000.0}, ('TwoOneTwoConsecutive', 4, 4): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 4): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 4): {50: 0, 0: 100000}, ('Distincts', 4, 5): {4: 100000}, ('TwoTimesOnes', 4, 5): {7.2: 100000}, ('HalfOfSixes', 4, 5): {11.2: 100000}, ('TwosAndThrees', 4, 5): {11.2: 100000}, ('SumOfOdds', 4, 5): {14.4: 100000}, ('SumOfEvens', 4, 5): {18.4: 100000}, ('DoubleThreesAndFours', 4, 5): {22.4: 100000}, ('QuadrupleOnesAndTwos', 4, 5): {22.4: 100000}, ('MicroStraight', 4, 5): {10: 100000, 0: 0}, ('ThreeOdds', 4, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 5): {30: 76000.0, 0: 24000.0}, ('ThreeDistinctDice', 4, 5): {20: 100000, 0: 0}, ('TwoPair', 4, 5): {30: 80000.0, 0: 19999.999999999996}, ('TwoOneTwoConsecutive', 4, 5): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 5): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 5): {50: 0, 0: 100000}, ('Distincts', 4, 6): {4: 100000}, ('TwoTimesOnes', 4, 6): {7.333333333333333: 100000}, ('HalfOfSixes', 4, 6): {11.333333333333334: 100000}, ('TwosAndThrees', 4, 6): {11.333333333333334: 100000}, ('SumOfOdds', 4, 6): {14.666666666666666: 100000}, ('SumOfEvens', 4, 6): {18.666666666666668: 100000}, ('DoubleThreesAndFours', 4, 6): {22.666666666666668: 100000}, ('QuadrupleOnesAndTwos', 4, 6): {22.666666666666668: 100000}, ('MicroStraight', 4, 6): {10: 100000, 0: 0}, ('ThreeOdds', 4, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 6): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 4, 6): {20: 100000, 0: 0}, ('TwoPair', 4, 6): {30: 83333.33333333334, 0: 16666.666666666664}, ('TwoOneTwoConsecutive', 4, 6): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 6): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 6): {50: 0, 0: 100000}, ('Distincts', 4, 7): {4: 100000}, ('TwoTimesOnes', 4, 7): {7.428571428571429: 100000}, ('HalfOfSixes', 4, 7): {11.428571428571429: 100000}, ('TwosAndThrees', 4, 7): {11.428571428571429: 100000}, ('SumOfOdds', 4, 7): {14.857142857142858: 100000}, ('SumOfEvens', 4, 7): {18.857142857142858: 100000}, ('DoubleThreesAndFours', 4, 7): {22.857142857142858: 100000}, ('QuadrupleOnesAndTwos', 4, 7): {22.857142857142858: 100000}, ('MicroStraight', 4, 7): {10: 100000, 0: 0}, ('ThreeOdds', 4, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 7): {30: 82857.14285714286, 0: 17142.85714285715}, ('ThreeDistinctDice', 4, 7): {20: 100000, 0: 0}, ('TwoPair', 4, 7): {30: 85714.28571428572, 0: 14285.714285714279}, ('TwoOneTwoConsecutive', 4, 7): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 7): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 7): {50: 0, 0: 100000}, ('Distincts', 4, 8): {4: 100000}, ('TwoTimesOnes', 4, 8): {7.5: 100000}, ('HalfOfSixes', 4, 8): {11.5: 100000}, ('TwosAndThrees', 4, 8): {11.5: 100000}, ('SumOfOdds', 4, 8): {15.0: 100000}, ('SumOfEvens', 4, 8): {19.0: 100000}, ('DoubleThreesAndFours', 4, 8): {23.0: 100000}, ('QuadrupleOnesAndTwos', 4, 8): {23.0: 100000}, ('MicroStraight', 4, 8): {10: 100000, 0: 0}, ('ThreeOdds', 4, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 4, 8): {30: 85000.0, 0: 15000.000000000002}, ('ThreeDistinctDice', 4, 8): {20: 100000, 0: 0}, ('TwoPair', 4, 8): {30: 87500.0, 0: 12500.0}, ('TwoOneTwoConsecutive', 4, 8): {40: 0, 0: 100000}, ('FiveDistinctDice', 4, 8): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 4, 8): {50: 0, 0: 100000}, ('Distincts', 5, 1): {5: 100000}, ('TwoTimesOnes', 5, 1): {5.0: 100000}, ('HalfOfSixes', 5, 1): {10.0: 100000}, ('TwosAndThrees', 5, 1): {10.0: 100000}, ('SumOfOdds', 5, 1): {10.0: 100000}, ('SumOfEvens', 5, 1): {15.0: 100000}, ('DoubleThreesAndFours', 5, 1): {20.0: 100000}, ('QuadrupleOnesAndTwos', 5, 1): {20.0: 100000}, ('MicroStraight', 5, 1): {10: 100000, 0: 0}, ('ThreeOdds', 5, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 1): {30: 80000.0, 0: 19999.999999999996}, ('ThreeDistinctDice', 5, 1): {20: 100000, 0: 0}, ('TwoPair', 5, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 1): {40: 0, 0: 100000}, ('FiveDistinctDice', 5, 1): {25: 0, 0: 100000}, ('FourAndFiveFullHouse', 5, 1): {50: 0, 0: 100000}, ('Distincts', 5, 2): {5: 100000}, ('TwoTimesOnes', 5, 2): {7.5: 100000}, ('HalfOfSixes', 5, 2): {12.5: 100000}, ('TwosAndThrees', 5, 2): {12.5: 100000}, ('SumOfOdds', 5, 2): {15.0: 100000}, ('SumOfEvens', 5, 2): {20.0: 100000}, ('DoubleThreesAndFours', 5, 2): {25.0: 100000}, ('QuadrupleOnesAndTwos', 5, 2): {25.0: 100000}, ('MicroStraight', 5, 2): {10: 100000, 0: 0}, ('ThreeOdds', 5, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 2): {20: 100000, 0: 0}, ('TwoPair', 5, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 2): {40: 35000.0, 0: 65000.0}, ('FiveDistinctDice', 5, 2): {25: 25000.0, 0: 75000.0}, ('FourAndFiveFullHouse', 5, 2): {50: 0, 0: 100000}, ('Distincts', 5, 3): {5: 100000}, ('TwoTimesOnes', 5, 3): {8.333333333333334: 100000}, ('HalfOfSixes', 5, 3): {13.333333333333332: 100000}, ('TwosAndThrees', 5, 3): {13.333333333333332: 100000}, ('SumOfOdds', 5, 3): {16.666666666666668: 100000}, ('SumOfEvens', 5, 3): {21.666666666666664: 100000}, ('DoubleThreesAndFours', 5, 3): {26.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 5, 3): {26.666666666666664: 100000}, ('MicroStraight', 5, 3): {10: 100000, 0: 0}, ('ThreeOdds', 5, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 3): {20: 100000, 0: 0}, ('TwoPair', 5, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 3): {40: 56666.666666666664, 0: 43333.333333333336}, ('FiveDistinctDice', 5, 3): {25: 50000.0, 0: 50000.0}, ('FourAndFiveFullHouse', 5, 3): {50: 33333.333333333336, 0: 66666.66666666666}, ('Distincts', 5, 4): {5: 100000}, ('TwoTimesOnes', 5, 4): {8.75: 100000}, ('HalfOfSixes', 5, 4): {13.75: 100000}, ('TwosAndThrees', 5, 4): {13.75: 100000}, ('SumOfOdds', 5, 4): {17.5: 100000}, ('SumOfEvens', 5, 4): {22.5: 100000}, ('DoubleThreesAndFours', 5, 4): {27.5: 100000}, ('QuadrupleOnesAndTwos', 5, 4): {27.5: 100000}, ('MicroStraight', 5, 4): {10: 100000, 0: 0}, ('ThreeOdds', 5, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 4): {20: 100000, 0: 0}, ('TwoPair', 5, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 4): {40: 67500.0, 0: 32499.999999999996}, ('FiveDistinctDice', 5, 4): {25: 62500.0, 0: 37500.0}, ('FourAndFiveFullHouse', 5, 4): {50: 50000.0, 0: 50000.0}, ('Distincts', 5, 5): {5: 100000}, ('TwoTimesOnes', 5, 5): {9.0: 100000}, ('HalfOfSixes', 5, 5): {14.0: 100000}, ('TwosAndThrees', 5, 5): {14.0: 100000}, ('SumOfOdds', 5, 5): {18.0: 100000}, ('SumOfEvens', 5, 5): {23.0: 100000}, ('DoubleThreesAndFours', 5, 5): {28.0: 100000}, ('QuadrupleOnesAndTwos', 5, 5): {28.0: 100000}, ('MicroStraight', 5, 5): {10: 100000, 0: 0}, ('ThreeOdds', 5, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 5): {20: 100000, 0: 0}, ('TwoPair', 5, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 5): {40: 74000.0, 0: 26000.0}, ('FiveDistinctDice', 5, 5): {25: 70000.0, 0: 30000.000000000004}, ('FourAndFiveFullHouse', 5, 5): {50: 60000.0, 0: 40000.0}, ('Distincts', 5, 6): {5: 100000}, ('TwoTimesOnes', 5, 6): {9.166666666666666: 100000}, ('HalfOfSixes', 5, 6): {14.166666666666668: 100000}, ('TwosAndThrees', 5, 6): {14.166666666666668: 100000}, ('SumOfOdds', 5, 6): {18.333333333333332: 100000}, ('SumOfEvens', 5, 6): {23.333333333333336: 100000}, ('DoubleThreesAndFours', 5, 6): {28.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 5, 6): {28.333333333333336: 100000}, ('MicroStraight', 5, 6): {10: 100000, 0: 0}, ('ThreeOdds', 5, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 6): {20: 100000, 0: 0}, ('TwoPair', 5, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 6): {40: 78333.33333333333, 0: 21666.666666666668}, ('FiveDistinctDice', 5, 6): {25: 75000.0, 0: 25000.0}, ('FourAndFiveFullHouse', 5, 6): {50: 66666.66666666667, 0: 33333.33333333333}, ('Distincts', 5, 7): {5: 100000}, ('TwoTimesOnes', 5, 7): {9.285714285714286: 100000}, ('HalfOfSixes', 5, 7): {14.285714285714286: 100000}, ('TwosAndThrees', 5, 7): {14.285714285714286: 100000}, ('SumOfOdds', 5, 7): {18.571428571428573: 100000}, ('SumOfEvens', 5, 7): {23.571428571428573: 100000}, ('DoubleThreesAndFours', 5, 7): {28.571428571428573: 100000}, ('QuadrupleOnesAndTwos', 5, 7): {28.571428571428573: 100000}, ('MicroStraight', 5, 7): {10: 100000, 0: 0}, ('ThreeOdds', 5, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 7): {20: 100000, 0: 0}, ('TwoPair', 5, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 7): {40: 81428.57142857143, 0: 18571.428571428572}, ('FiveDistinctDice', 5, 7): {25: 78571.42857142857, 0: 21428.57142857143}, ('FourAndFiveFullHouse', 5, 7): {50: 71428.57142857143, 0: 28571.42857142857}, ('Distincts', 5, 8): {5: 100000}, ('TwoTimesOnes', 5, 8): {9.375: 100000}, ('HalfOfSixes', 5, 8): {14.375: 100000}, ('TwosAndThrees', 5, 8): {14.375: 100000}, ('SumOfOdds', 5, 8): {18.75: 100000}, ('SumOfEvens', 5, 8): {23.75: 100000}, ('DoubleThreesAndFours', 5, 8): {28.75: 100000}, ('QuadrupleOnesAndTwos', 5, 8): {28.75: 100000}, ('MicroStraight', 5, 8): {10: 100000, 0: 0}, ('ThreeOdds', 5, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 5, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 5, 8): {20: 100000, 0: 0}, ('TwoPair', 5, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 5, 8): {40: 83750.0, 0: 16249.999999999998}, ('FiveDistinctDice', 5, 8): {25: 81250.0, 0: 18750.0}, ('FourAndFiveFullHouse', 5, 8): {50: 75000.0, 0: 25000.0}, ('Distincts', 6, 1): {6: 100000}, ('TwoTimesOnes', 6, 1): {6.0: 100000}, ('HalfOfSixes', 6, 1): {12.0: 100000}, ('TwosAndThrees', 6, 1): {12.0: 100000}, ('SumOfOdds', 6, 1): {12.0: 100000}, ('SumOfEvens', 6, 1): {18.0: 100000}, ('DoubleThreesAndFours', 6, 1): {24.0: 100000}, ('QuadrupleOnesAndTwos', 6, 1): {24.0: 100000}, ('MicroStraight', 6, 1): {10: 100000, 0: 0}, ('ThreeOdds', 6, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 1): {20: 100000, 0: 0}, ('TwoPair', 6, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 1): {40: 70000.0, 0: 30000.000000000004}, ('FiveDistinctDice', 6, 1): {25: 50000.0, 0: 50000.0}, ('FourAndFiveFullHouse', 6, 1): {50: 0, 0: 100000}, ('Distincts', 6, 2): {6: 100000}, ('TwoTimesOnes', 6, 2): {9.0: 100000}, ('HalfOfSixes', 6, 2): {15.0: 100000}, ('TwosAndThrees', 6, 2): {15.0: 100000}, ('SumOfOdds', 6, 2): {18.0: 100000}, ('SumOfEvens', 6, 2): {24.0: 100000}, ('DoubleThreesAndFours', 6, 2): {30.0: 100000}, ('QuadrupleOnesAndTwos', 6, 2): {30.0: 100000}, ('MicroStraight', 6, 2): {10: 100000, 0: 0}, ('ThreeOdds', 6, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 2): {20: 100000, 0: 0}, ('TwoPair', 6, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 2): {50: 100000, 0: 0}, ('Distincts', 6, 3): {6: 100000}, ('TwoTimesOnes', 6, 3): {10.0: 100000}, ('HalfOfSixes', 6, 3): {16.0: 100000}, ('TwosAndThrees', 6, 3): {16.0: 100000}, ('SumOfOdds', 6, 3): {20.0: 100000}, ('SumOfEvens', 6, 3): {26.0: 100000}, ('DoubleThreesAndFours', 6, 3): {32.0: 100000}, ('QuadrupleOnesAndTwos', 6, 3): {32.0: 100000}, ('MicroStraight', 6, 3): {10: 100000, 0: 0}, ('ThreeOdds', 6, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 3): {20: 100000, 0: 0}, ('TwoPair', 6, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 3): {50: 100000, 0: 0}, ('Distincts', 6, 4): {6: 100000}, ('TwoTimesOnes', 6, 4): {10.5: 100000}, ('HalfOfSixes', 6, 4): {16.5: 100000}, ('TwosAndThrees', 6, 4): {16.5: 100000}, ('SumOfOdds', 6, 4): {21.0: 100000}, ('SumOfEvens', 6, 4): {27.0: 100000}, ('DoubleThreesAndFours', 6, 4): {33.0: 100000}, ('QuadrupleOnesAndTwos', 6, 4): {33.0: 100000}, ('MicroStraight', 6, 4): {10: 100000, 0: 0}, ('ThreeOdds', 6, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 4): {20: 100000, 0: 0}, ('TwoPair', 6, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 4): {50: 100000, 0: 0}, ('Distincts', 6, 5): {6: 100000}, ('TwoTimesOnes', 6, 5): {10.8: 100000}, ('HalfOfSixes', 6, 5): {16.799999999999997: 100000}, ('TwosAndThrees', 6, 5): {16.799999999999997: 100000}, ('SumOfOdds', 6, 5): {21.6: 100000}, ('SumOfEvens', 6, 5): {27.599999999999998: 100000}, ('DoubleThreesAndFours', 6, 5): {33.599999999999994: 100000}, ('QuadrupleOnesAndTwos', 6, 5): {33.599999999999994: 100000}, ('MicroStraight', 6, 5): {10: 100000, 0: 0}, ('ThreeOdds', 6, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 5): {20: 100000, 0: 0}, ('TwoPair', 6, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 5): {50: 100000, 0: 0}, ('Distincts', 6, 6): {6: 100000}, ('TwoTimesOnes', 6, 6): {11.0: 100000}, ('HalfOfSixes', 6, 6): {17.0: 100000}, ('TwosAndThrees', 6, 6): {17.0: 100000}, ('SumOfOdds', 6, 6): {22.0: 100000}, ('SumOfEvens', 6, 6): {28.0: 100000}, ('DoubleThreesAndFours', 6, 6): {34.0: 100000}, ('QuadrupleOnesAndTwos', 6, 6): {34.0: 100000}, ('MicroStraight', 6, 6): {10: 100000, 0: 0}, ('ThreeOdds', 6, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 6): {20: 100000, 0: 0}, ('TwoPair', 6, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 6): {50: 100000, 0: 0}, ('Distincts', 6, 7): {6: 100000}, ('TwoTimesOnes', 6, 7): {11.142857142857142: 100000}, ('HalfOfSixes', 6, 7): {17.142857142857142: 100000}, ('TwosAndThrees', 6, 7): {17.142857142857142: 100000}, ('SumOfOdds', 6, 7): {22.285714285714285: 100000}, ('SumOfEvens', 6, 7): {28.285714285714285: 100000}, ('DoubleThreesAndFours', 6, 7): {34.285714285714285: 100000}, ('QuadrupleOnesAndTwos', 6, 7): {34.285714285714285: 100000}, ('MicroStraight', 6, 7): {10: 100000, 0: 0}, ('ThreeOdds', 6, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 7): {20: 100000, 0: 0}, ('TwoPair', 6, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 7): {50: 100000, 0: 0}, ('Distincts', 6, 8): {6: 100000}, ('TwoTimesOnes', 6, 8): {11.25: 100000}, ('HalfOfSixes', 6, 8): {17.25: 100000}, ('TwosAndThrees', 6, 8): {17.25: 100000}, ('SumOfOdds', 6, 8): {22.5: 100000}, ('SumOfEvens', 6, 8): {28.5: 100000}, ('DoubleThreesAndFours', 6, 8): {34.5: 100000}, ('QuadrupleOnesAndTwos', 6, 8): {34.5: 100000}, ('MicroStraight', 6, 8): {10: 100000, 0: 0}, ('ThreeOdds', 6, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 6, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 6, 8): {20: 100000, 0: 0}, ('TwoPair', 6, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 6, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 6, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 6, 8): {50: 100000, 0: 0}, ('Distincts', 7, 1): {7: 100000}, ('TwoTimesOnes', 7, 1): {7.0: 100000}, ('HalfOfSixes', 7, 1): {14.0: 100000}, ('TwosAndThrees', 7, 1): {14.0: 100000}, ('SumOfOdds', 7, 1): {14.0: 100000}, ('SumOfEvens', 7, 1): {21.0: 100000}, ('DoubleThreesAndFours', 7, 1): {28.0: 100000}, ('QuadrupleOnesAndTwos', 7, 1): {28.0: 100000}, ('MicroStraight', 7, 1): {10: 100000, 0: 0}, ('ThreeOdds', 7, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 1): {20: 100000, 0: 0}, ('TwoPair', 7, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 1): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 1): {50: 100000, 0: 0}, ('Distincts', 7, 2): {7: 100000}, ('TwoTimesOnes', 7, 2): {10.5: 100000}, ('HalfOfSixes', 7, 2): {17.5: 100000}, ('TwosAndThrees', 7, 2): {17.5: 100000}, ('SumOfOdds', 7, 2): {21.0: 100000}, ('SumOfEvens', 7, 2): {28.0: 100000}, ('DoubleThreesAndFours', 7, 2): {35.0: 100000}, ('QuadrupleOnesAndTwos', 7, 2): {35.0: 100000}, ('MicroStraight', 7, 2): {10: 100000, 0: 0}, ('ThreeOdds', 7, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 2): {20: 100000, 0: 0}, ('TwoPair', 7, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 2): {50: 100000, 0: 0}, ('Distincts', 7, 3): {7: 100000}, ('TwoTimesOnes', 7, 3): {11.666666666666668: 100000}, ('HalfOfSixes', 7, 3): {18.666666666666664: 100000}, ('TwosAndThrees', 7, 3): {18.666666666666664: 100000}, ('SumOfOdds', 7, 3): {23.333333333333336: 100000}, ('SumOfEvens', 7, 3): {30.333333333333332: 100000}, ('DoubleThreesAndFours', 7, 3): {37.33333333333333: 100000}, ('QuadrupleOnesAndTwos', 7, 3): {37.33333333333333: 100000}, ('MicroStraight', 7, 3): {10: 100000, 0: 0}, ('ThreeOdds', 7, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 3): {20: 100000, 0: 0}, ('TwoPair', 7, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 3): {50: 100000, 0: 0}, ('Distincts', 7, 4): {7: 100000}, ('TwoTimesOnes', 7, 4): {12.25: 100000}, ('HalfOfSixes', 7, 4): {19.25: 100000}, ('TwosAndThrees', 7, 4): {19.25: 100000}, ('SumOfOdds', 7, 4): {24.5: 100000}, ('SumOfEvens', 7, 4): {31.5: 100000}, ('DoubleThreesAndFours', 7, 4): {38.5: 100000}, ('QuadrupleOnesAndTwos', 7, 4): {38.5: 100000}, ('MicroStraight', 7, 4): {10: 100000, 0: 0}, ('ThreeOdds', 7, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 4): {20: 100000, 0: 0}, ('TwoPair', 7, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 4): {50: 100000, 0: 0}, ('Distincts', 7, 5): {7: 100000}, ('TwoTimesOnes', 7, 5): {12.6: 100000}, ('HalfOfSixes', 7, 5): {19.599999999999998: 100000}, ('TwosAndThrees', 7, 5): {19.599999999999998: 100000}, ('SumOfOdds', 7, 5): {25.2: 100000}, ('SumOfEvens', 7, 5): {32.199999999999996: 100000}, ('DoubleThreesAndFours', 7, 5): {39.199999999999996: 100000}, ('QuadrupleOnesAndTwos', 7, 5): {39.199999999999996: 100000}, ('MicroStraight', 7, 5): {10: 100000, 0: 0}, ('ThreeOdds', 7, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 5): {20: 100000, 0: 0}, ('TwoPair', 7, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 5): {50: 100000, 0: 0}, ('Distincts', 7, 6): {7: 100000}, ('TwoTimesOnes', 7, 6): {12.833333333333332: 100000}, ('HalfOfSixes', 7, 6): {19.833333333333336: 100000}, ('TwosAndThrees', 7, 6): {19.833333333333336: 100000}, ('SumOfOdds', 7, 6): {25.666666666666664: 100000}, ('SumOfEvens', 7, 6): {32.66666666666667: 100000}, ('DoubleThreesAndFours', 7, 6): {39.66666666666667: 100000}, ('QuadrupleOnesAndTwos', 7, 6): {39.66666666666667: 100000}, ('MicroStraight', 7, 6): {10: 100000, 0: 0}, ('ThreeOdds', 7, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 6): {20: 100000, 0: 0}, ('TwoPair', 7, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 6): {50: 100000, 0: 0}, ('Distincts', 7, 7): {7: 100000}, ('TwoTimesOnes', 7, 7): {13.0: 100000}, ('HalfOfSixes', 7, 7): {20.0: 100000}, ('TwosAndThrees', 7, 7): {20.0: 100000}, ('SumOfOdds', 7, 7): {26.0: 100000}, ('SumOfEvens', 7, 7): {33.0: 100000}, ('DoubleThreesAndFours', 7, 7): {40.0: 100000}, ('QuadrupleOnesAndTwos', 7, 7): {40.0: 100000}, ('MicroStraight', 7, 7): {10: 100000, 0: 0}, ('ThreeOdds', 7, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 7): {20: 100000, 0: 0}, ('TwoPair', 7, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 7): {50: 100000, 0: 0}, ('Distincts', 7, 8): {7: 100000}, ('TwoTimesOnes', 7, 8): {13.125: 100000}, ('HalfOfSixes', 7, 8): {20.125: 100000}, ('TwosAndThrees', 7, 8): {20.125: 100000}, ('SumOfOdds', 7, 8): {26.25: 100000}, ('SumOfEvens', 7, 8): {33.25: 100000}, ('DoubleThreesAndFours', 7, 8): {40.25: 100000}, ('QuadrupleOnesAndTwos', 7, 8): {40.25: 100000}, ('MicroStraight', 7, 8): {10: 100000, 0: 0}, ('ThreeOdds', 7, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 7, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 7, 8): {20: 100000, 0: 0}, ('TwoPair', 7, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 7, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 7, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 7, 8): {50: 100000, 0: 0}, ('Distincts', 8, 1): {8: 100000}, ('TwoTimesOnes', 8, 1): {8.0: 100000}, ('HalfOfSixes', 8, 1): {16.0: 100000}, ('TwosAndThrees', 8, 1): {16.0: 100000}, ('SumOfOdds', 8, 1): {16.0: 100000}, ('SumOfEvens', 8, 1): {24.0: 100000}, ('DoubleThreesAndFours', 8, 1): {32.0: 100000}, ('QuadrupleOnesAndTwos', 8, 1): {32.0: 100000}, ('MicroStraight', 8, 1): {10: 100000, 0: 0}, ('ThreeOdds', 8, 1): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 1): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 1): {20: 100000, 0: 0}, ('TwoPair', 8, 1): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 1): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 1): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 1): {50: 100000, 0: 0}, ('Distincts', 8, 2): {8: 100000}, ('TwoTimesOnes', 8, 2): {12.0: 100000}, ('HalfOfSixes', 8, 2): {20.0: 100000}, ('TwosAndThrees', 8, 2): {20.0: 100000}, ('SumOfOdds', 8, 2): {24.0: 100000}, ('SumOfEvens', 8, 2): {32.0: 100000}, ('DoubleThreesAndFours', 8, 2): {40.0: 100000}, ('QuadrupleOnesAndTwos', 8, 2): {40.0: 100000}, ('MicroStraight', 8, 2): {10: 100000, 0: 0}, ('ThreeOdds', 8, 2): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 2): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 2): {20: 100000, 0: 0}, ('TwoPair', 8, 2): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 2): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 2): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 2): {50: 100000, 0: 0}, ('Distincts', 8, 3): {8: 100000}, ('TwoTimesOnes', 8, 3): {13.333333333333334: 100000}, ('HalfOfSixes', 8, 3): {21.333333333333332: 100000}, ('TwosAndThrees', 8, 3): {21.333333333333332: 100000}, ('SumOfOdds', 8, 3): {26.666666666666668: 100000}, ('SumOfEvens', 8, 3): {34.666666666666664: 100000}, ('DoubleThreesAndFours', 8, 3): {42.666666666666664: 100000}, ('QuadrupleOnesAndTwos', 8, 3): {42.666666666666664: 100000}, ('MicroStraight', 8, 3): {10: 100000, 0: 0}, ('ThreeOdds', 8, 3): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 3): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 3): {20: 100000, 0: 0}, ('TwoPair', 8, 3): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 3): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 3): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 3): {50: 100000, 0: 0}, ('Distincts', 8, 4): {8: 100000}, ('TwoTimesOnes', 8, 4): {14.0: 100000}, ('HalfOfSixes', 8, 4): {22.0: 100000}, ('TwosAndThrees', 8, 4): {22.0: 100000}, ('SumOfOdds', 8, 4): {28.0: 100000}, ('SumOfEvens', 8, 4): {36.0: 100000}, ('DoubleThreesAndFours', 8, 4): {44.0: 100000}, ('QuadrupleOnesAndTwos', 8, 4): {44.0: 100000}, ('MicroStraight', 8, 4): {10: 100000, 0: 0}, ('ThreeOdds', 8, 4): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 4): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 4): {20: 100000, 0: 0}, ('TwoPair', 8, 4): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 4): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 4): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 4): {50: 100000, 0: 0}, ('Distincts', 8, 5): {8: 100000}, ('TwoTimesOnes', 8, 5): {14.4: 100000}, ('HalfOfSixes', 8, 5): {22.4: 100000}, ('TwosAndThrees', 8, 5): {22.4: 100000}, ('SumOfOdds', 8, 5): {28.8: 100000}, ('SumOfEvens', 8, 5): {36.8: 100000}, ('DoubleThreesAndFours', 8, 5): {44.8: 100000}, ('QuadrupleOnesAndTwos', 8, 5): {44.8: 100000}, ('MicroStraight', 8, 5): {10: 100000, 0: 0}, ('ThreeOdds', 8, 5): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 5): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 5): {20: 100000, 0: 0}, ('TwoPair', 8, 5): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 5): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 5): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 5): {50: 100000, 0: 0}, ('Distincts', 8, 6): {8: 100000}, ('TwoTimesOnes', 8, 6): {14.666666666666666: 100000}, ('HalfOfSixes', 8, 6): {22.666666666666668: 100000}, ('TwosAndThrees', 8, 6): {22.666666666666668: 100000}, ('SumOfOdds', 8, 6): {29.333333333333332: 100000}, ('SumOfEvens', 8, 6): {37.333333333333336: 100000}, ('DoubleThreesAndFours', 8, 6): {45.333333333333336: 100000}, ('QuadrupleOnesAndTwos', 8, 6): {45.333333333333336: 100000}, ('MicroStraight', 8, 6): {10: 100000, 0: 0}, ('ThreeOdds', 8, 6): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 6): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 6): {20: 100000, 0: 0}, ('TwoPair', 8, 6): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 6): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 6): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 6): {50: 100000, 0: 0}, ('Distincts', 8, 7): {8: 100000}, ('TwoTimesOnes', 8, 7): {14.857142857142858: 100000}, ('HalfOfSixes', 8, 7): {22.857142857142858: 100000}, ('TwosAndThrees', 8, 7): {22.857142857142858: 100000}, ('SumOfOdds', 8, 7): {29.714285714285715: 100000}, ('SumOfEvens', 8, 7): {37.714285714285715: 100000}, ('DoubleThreesAndFours', 8, 7): {45.714285714285715: 100000}, ('QuadrupleOnesAndTwos', 8, 7): {45.714285714285715: 100000}, ('MicroStraight', 8, 7): {10: 100000, 0: 0}, ('ThreeOdds', 8, 7): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 7): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 7): {20: 100000, 0: 0}, ('TwoPair', 8, 7): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 7): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 7): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 7): {50: 100000, 0: 0}, ('Distincts', 8, 8): {8: 100000}, ('TwoTimesOnes', 8, 8): {15.0: 100000}, ('HalfOfSixes', 8, 8): {23.0: 100000}, ('TwosAndThrees', 8, 8): {23.0: 100000}, ('SumOfOdds', 8, 8): {30.0: 100000}, ('SumOfEvens', 8, 8): {38.0: 100000}, ('DoubleThreesAndFours', 8, 8): {46.0: 100000}, ('QuadrupleOnesAndTwos', 8, 8): {46.0: 100000}, ('MicroStraight', 8, 8): {10: 100000, 0: 0}, ('ThreeOdds', 8, 8): {20: 100000, 0: 0}, ('OneTwoOneConsecutive', 8, 8): {30: 100000, 0: 0}, ('ThreeDistinctDice', 8, 8): {20: 100000, 0: 0}, ('TwoPair', 8, 8): {30: 100000, 0: 0}, ('TwoOneTwoConsecutive', 8, 8): {40: 100000, 0: 0}, ('FiveDistinctDice', 8, 8): {25: 100000, 0: 0}, ('FourAndFiveFullHouse', 8, 8): {50: 100000, 0: 0}} \ No newline at end of file +yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 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("SmallStraight", 3, 0): {0: 100000}, ("SmallStraight", 3, 1): {0: 100000}, ("SmallStraight", 3, 2): {0: 100000}, ("SmallStraight", 3, 3): {0: 100000}, ("SmallStraight", 3, 4): {0: 100000}, ("SmallStraight", 3, 5): {0: 100000}, ("SmallStraight", 3, 6): {0: 100000}, ("SmallStraight", 3, 7): {0: 100000}, ("SmallStraight", 3, 8): {0: 100000}, ("SmallStraight", 4, 0): {0: 100000}, ("SmallStraight", 4, 1): {0: 94516, 30: 5484}, ("SmallStraight", 4, 2): {0: 82700, 30: 17300}, ("SmallStraight", 4, 3): {0: 67926, 30: 32074}, ("SmallStraight", 4, 4): {30: 45735, 0: 54265}, ("SmallStraight", 4, 5): {0: 42130, 30: 57870}, ("SmallStraight", 4, 6): {0: 32536, 30: 67464}, ("SmallStraight", 4, 7): {0: 25008, 30: 74992}, ("SmallStraight", 4, 8): {30: 80405, 0: 19595}, ("SmallStraight", 5, 0): {0: 100000}, ("SmallStraight", 5, 1): {0: 84528, 30: 15472}, ("SmallStraight", 5, 2): {0: 60775, 30: 39225}, ("SmallStraight", 5, 3): {0: 39543, 30: 60457}, ("SmallStraight", 5, 4): {30: 75240, 0: 24760}, ("SmallStraight", 5, 5): {30: 84287, 0: 15713}, ("SmallStraight", 5, 6): {30: 89801, 0: 10199}, ("SmallStraight", 5, 7): {30: 93382, 0: 6618}, ("SmallStraight", 5, 8): {30: 95795, 0: 4205}, ("SmallStraight", 6, 0): {0: 100000}, ("SmallStraight", 6, 1): {0: 73121, 30: 26879}, ("SmallStraight", 6, 2): {30: 58168, 0: 41832}, ("SmallStraight", 6, 3): {30: 78051, 0: 21949}, ("SmallStraight", 6, 4): {30: 88696, 0: 11304}, ("SmallStraight", 6, 5): {30: 93937, 0: 6063}, ("SmallStraight", 6, 6): {30: 96638, 0: 3362}, ("SmallStraight", 6, 7): {30: 98201, 0: 1799}, ("SmallStraight", 6, 8): {30: 98931, 0: 1069}, ("SmallStraight", 7, 0): {0: 100000}, ("SmallStraight", 7, 1): {0: 61837, 30: 38163}, ("SmallStraight", 7, 2): {30: 71798, 0: 28202}, ("SmallStraight", 7, 3): {30: 87813, 0: 12187}, ("SmallStraight", 7, 4): {30: 94573, 0: 5427}, ("SmallStraight", 7, 5): {30: 97556, 0: 2444}, ("SmallStraight", 7, 6): {30: 98856, 0: 1144}, ("SmallStraight", 7, 7): {30: 99412, 0: 588}, ("SmallStraight", 7, 8): {30: 99742, 0: 258}, ("SmallStraight", 8, 0): {0: 100000}, ("SmallStraight", 8, 1): {30: 48606, 0: 51394}, ("SmallStraight", 8, 2): {30: 80910, 0: 19090}, ("SmallStraight", 8, 3): {0: 7104, 30: 92896}, ("SmallStraight", 8, 4): {30: 97355, 0: 2645}, ("SmallStraight", 8, 5): {30: 98990, 0: 1010}, ("SmallStraight", 8, 6): {30: 99592, 0: 408}, ("SmallStraight", 8, 7): {30: 99847, 0: 153}, ("SmallStraight", 8, 8): {30: 99922, 0: 78}, ("LargeStraight", 0, 0): {0: 100000}, ("LargeStraight", 0, 1): {0: 100000}, ("LargeStraight", 0, 2): {0: 100000}, ("LargeStraight", 0, 3): {0: 100000}, ("LargeStraight", 0, 4): {0: 100000}, ("LargeStraight", 0, 5): {0: 100000}, ("LargeStraight", 0, 6): {0: 100000}, ("LargeStraight", 0, 7): {0: 100000}, ("LargeStraight", 0, 8): {0: 100000}, ("LargeStraight", 1, 0): {0: 100000}, ("LargeStraight", 1, 1): {0: 100000}, ("LargeStraight", 1, 2): {0: 100000}, ("LargeStraight", 1, 3): {0: 100000}, ("LargeStraight", 1, 4): {0: 100000}, ("LargeStraight", 1, 5): {0: 100000}, ("LargeStraight", 1, 6): {0: 100000}, ("LargeStraight", 1, 7): {0: 100000}, ("LargeStraight", 1, 8): {0: 100000}, ("LargeStraight", 2, 0): {0: 100000}, ("LargeStraight", 2, 1): {0: 100000}, ("LargeStraight", 2, 2): {0: 100000}, ("LargeStraight", 2, 3): {0: 100000}, ("LargeStraight", 2, 4): {0: 100000}, ("LargeStraight", 2, 5): {0: 100000}, ("LargeStraight", 2, 6): {0: 100000}, ("LargeStraight", 2, 7): {0: 100000}, ("LargeStraight", 2, 8): {0: 100000}, ("LargeStraight", 3, 0): {0: 100000}, ("LargeStraight", 3, 1): {0: 100000}, ("LargeStraight", 3, 2): {0: 100000}, ("LargeStraight", 3, 3): {0: 100000}, ("LargeStraight", 3, 4): {0: 100000}, ("LargeStraight", 3, 5): {0: 100000}, ("LargeStraight", 3, 6): {0: 100000}, ("LargeStraight", 3, 7): {0: 100000}, ("LargeStraight", 3, 8): {0: 100000}, ("LargeStraight", 4, 0): {0: 100000}, ("LargeStraight", 4, 1): {0: 100000}, ("LargeStraight", 4, 2): {0: 100000}, ("LargeStraight", 4, 3): {0: 100000}, ("LargeStraight", 4, 4): {0: 100000}, ("LargeStraight", 4, 5): {0: 100000}, ("LargeStraight", 4, 6): {0: 100000}, ("LargeStraight", 4, 7): {0: 100000}, ("LargeStraight", 4, 8): {0: 100000}, ("LargeStraight", 5, 0): {0: 100000}, ("LargeStraight", 5, 1): {0: 96929, 40: 3071}, ("LargeStraight", 5, 2): {0: 87056, 40: 12944}, ("LargeStraight", 5, 3): {0: 75101, 40: 24899}, ("LargeStraight", 5, 4): {0: 63617, 40: 36383}, ("LargeStraight", 5, 5): {0: 53149, 40: 46851}, ("LargeStraight", 5, 6): {0: 44321, 40: 55679}, ("LargeStraight", 5, 7): {40: 63052, 0: 36948}, ("LargeStraight", 5, 8): {0: 30661, 40: 69339}, ("LargeStraight", 6, 0): {0: 100000}, ("LargeStraight", 6, 1): {0: 90756, 40: 9244}, ("LargeStraight", 6, 2): {0: 69805, 40: 30195}, ("LargeStraight", 6, 3): {0: 49814, 40: 50186}, ("LargeStraight", 6, 4): {40: 64898, 0: 35102}, ("LargeStraight", 6, 5): {40: 75615, 0: 24385}, ("LargeStraight", 6, 6): {40: 82982, 0: 17018}, ("LargeStraight", 6, 7): {40: 88261, 0: 11739}, ("LargeStraight", 6, 8): {40: 92028, 0: 7972}, ("LargeStraight", 7, 0): {0: 100000}, ("LargeStraight", 7, 1): {0: 82840, 40: 17160}, ("LargeStraight", 7, 2): {0: 52821, 40: 47179}, ("LargeStraight", 7, 3): {40: 68652, 0: 31348}, ("LargeStraight", 7, 4): {40: 81834, 0: 18166}, ("LargeStraight", 7, 5): {40: 89310, 0: 10690}, ("LargeStraight", 7, 6): {40: 93949, 0: 6051}, ("LargeStraight", 7, 7): {40: 96383, 0: 3617}, ("LargeStraight", 7, 8): {40: 98059, 0: 1941}, ("LargeStraight", 8, 0): {0: 100000}, ("LargeStraight", 8, 1): {40: 26480, 0: 73520}, ("LargeStraight", 8, 2): {40: 60969, 0: 39031}, ("LargeStraight", 8, 3): {40: 80844, 0: 19156}, ("LargeStraight", 8, 4): {40: 90696, 0: 9304}, ("LargeStraight", 8, 5): {40: 95580, 0: 4420}, ("LargeStraight", 8, 6): {40: 97859, 0: 2141}, ("LargeStraight", 8, 7): {40: 98963, 0: 1037}, ("LargeStraight", 8, 8): {40: 99489, 0: 511}, ("FullHouse", 0, 0): {0: 100000}, ("FullHouse", 0, 1): {0: 100000}, ("FullHouse", 0, 2): {0: 100000}, ("FullHouse", 0, 3): {0: 100000}, ("FullHouse", 0, 4): {0: 100000}, ("FullHouse", 0, 5): {0: 100000}, ("FullHouse", 0, 6): {0: 100000}, ("FullHouse", 0, 7): {0: 100000}, ("FullHouse", 0, 8): {0: 100000}, ("FullHouse", 1, 0): {0: 100000}, ("FullHouse", 1, 1): {0: 100000}, ("FullHouse", 1, 2): {0: 100000}, ("FullHouse", 1, 3): {0: 100000}, ("FullHouse", 1, 4): {0: 100000}, ("FullHouse", 1, 5): {0: 100000}, ("FullHouse", 1, 6): {0: 100000}, ("FullHouse", 1, 7): {0: 100000}, ("FullHouse", 1, 8): {0: 100000}, ("FullHouse", 2, 0): {0: 100000}, ("FullHouse", 2, 1): {0: 100000}, ("FullHouse", 2, 2): {0: 100000}, ("FullHouse", 2, 3): {0: 100000}, ("FullHouse", 2, 4): {0: 100000}, ("FullHouse", 2, 5): {0: 100000}, ("FullHouse", 2, 6): {0: 100000}, ("FullHouse", 2, 7): {0: 100000}, ("FullHouse", 2, 8): {0: 100000}, ("FullHouse", 3, 0): {0: 100000}, ("FullHouse", 3, 1): {0: 100000}, ("FullHouse", 3, 2): {0: 100000}, ("FullHouse", 3, 3): {0: 100000}, ("FullHouse", 3, 4): {0: 100000}, ("FullHouse", 3, 5): {0: 100000}, ("FullHouse", 3, 6): {0: 100000}, ("FullHouse", 3, 7): {0: 100000}, ("FullHouse", 3, 8): {0: 100000}, ("FullHouse", 4, 0): {0: 100000}, ("FullHouse", 4, 1): {0: 100000}, ("FullHouse", 4, 2): {0: 100000}, ("FullHouse", 4, 3): {0: 100000}, ("FullHouse", 4, 4): {0: 100000}, ("FullHouse", 4, 5): {0: 100000}, ("FullHouse", 4, 6): {0: 100000}, ("FullHouse", 4, 7): {0: 100000}, ("FullHouse", 4, 8): {0: 100000}, ("FullHouse", 5, 0): {0: 100000}, ("FullHouse", 5, 1): {0: 96155, 25: 3845}, ("FullHouse", 5, 2): {0: 81391, 25: 18609}, ("FullHouse", 5, 3): {25: 35700, 0: 64300}, ("FullHouse", 5, 4): {25: 50331, 0: 49669}, ("FullHouse", 5, 5): {25: 61981, 0: 38019}, ("FullHouse", 5, 6): {25: 70249, 0: 29751}, ("FullHouse", 5, 7): {25: 77040, 0: 22960}, ("FullHouse", 5, 8): {25: 81350, 0: 18650}, ("FullHouse", 6, 0): {0: 100000}, ("FullHouse", 6, 1): {25: 17011, 0: 82989}, ("FullHouse", 6, 2): {0: 47153, 25: 52847}, ("FullHouse", 6, 3): {25: 75849, 0: 24151}, ("FullHouse", 6, 4): {0: 12519, 25: 87481}, ("FullHouse", 6, 5): {25: 93476, 0: 6524}, ("FullHouse", 6, 6): {0: 3606, 25: 96394}, ("FullHouse", 6, 7): {25: 98041, 0: 1959}, ("FullHouse", 6, 8): {25: 98974, 0: 1026}, ("FullHouse", 7, 0): {0: 100000}, ("FullHouse", 7, 1): {0: 60232, 25: 39768}, ("FullHouse", 7, 2): {25: 81106, 0: 18894}, ("FullHouse", 7, 3): {25: 94318, 0: 5682}, ("FullHouse", 7, 4): {25: 98294, 0: 1706}, ("FullHouse", 7, 5): {25: 99478, 0: 522}, ("FullHouse", 7, 6): {25: 99854, 0: 146}, ("FullHouse", 7, 7): {25: 99946, 0: 54}, ("FullHouse", 7, 8): {25: 99982, 0: 18}, ("FullHouse", 8, 0): {0: 100000}, ("FullHouse", 8, 1): {0: 35909, 25: 64091}, ("FullHouse", 8, 2): {25: 94288, 0: 5712}, ("FullHouse", 8, 3): {25: 99070, 0: 930}, ("FullHouse", 8, 4): {25: 99835, 0: 165}, ("FullHouse", 8, 5): {25: 99981, 0: 19}, ("FullHouse", 8, 6): {25: 99994, 0: 6}, ("FullHouse", 8, 7): {25: 100000}, ("FullHouse", 8, 8): {25: 100000}, ("Yacht", 0, 0): {0: 100000}, ("Yacht", 0, 1): {0: 100000}, ("Yacht", 0, 2): {0: 100000}, ("Yacht", 0, 3): {0: 100000}, ("Yacht", 0, 4): {0: 100000}, ("Yacht", 0, 5): {0: 100000}, ("Yacht", 0, 6): {0: 100000}, ("Yacht", 0, 7): {0: 100000}, ("Yacht", 0, 8): {0: 100000}, ("Yacht", 1, 0): {0: 100000}, ("Yacht", 1, 1): {0: 100000}, ("Yacht", 1, 2): {0: 100000}, ("Yacht", 1, 3): {0: 100000}, ("Yacht", 1, 4): {0: 100000}, ("Yacht", 1, 5): {0: 100000}, ("Yacht", 1, 6): {0: 100000}, ("Yacht", 1, 7): {0: 100000}, ("Yacht", 1, 8): {0: 100000}, ("Yacht", 2, 0): {0: 100000}, ("Yacht", 2, 1): {0: 100000}, ("Yacht", 2, 2): {0: 100000}, ("Yacht", 2, 3): {0: 100000}, ("Yacht", 2, 4): {0: 100000}, ("Yacht", 2, 5): {0: 100000}, ("Yacht", 2, 6): {0: 100000}, ("Yacht", 2, 7): {0: 100000}, ("Yacht", 2, 8): {0: 100000}, ("Yacht", 3, 0): {0: 100000}, ("Yacht", 3, 1): {0: 100000}, ("Yacht", 3, 2): {0: 100000}, ("Yacht", 3, 3): {0: 100000}, ("Yacht", 3, 4): {0: 100000}, ("Yacht", 3, 5): {0: 100000}, ("Yacht", 3, 6): {0: 100000}, ("Yacht", 3, 7): {0: 100000}, ("Yacht", 3, 8): {0: 100000}, ("Yacht", 4, 0): {0: 100000}, ("Yacht", 4, 1): {0: 100000}, ("Yacht", 4, 2): {0: 100000}, ("Yacht", 4, 3): {0: 100000}, ("Yacht", 4, 4): {0: 100000}, ("Yacht", 4, 5): {0: 100000}, ("Yacht", 4, 6): {0: 100000}, ("Yacht", 4, 7): {0: 100000}, ("Yacht", 4, 8): {0: 100000}, ("Yacht", 5, 0): {0: 100000}, ("Yacht", 5, 1): {0: 99919, 50: 81}, ("Yacht", 5, 2): {0: 98727, 50: 1273}, ("Yacht", 5, 3): {50: 4653, 0: 95347}, ("Yacht", 5, 4): {0: 89969, 50: 10031}, ("Yacht", 5, 5): {0: 83124, 50: 16876}, ("Yacht", 5, 6): {0: 75023, 50: 24977}, ("Yacht", 5, 7): {0: 67007, 50: 32993}, ("Yacht", 5, 8): {0: 58618, 50: 41382}, ("Yacht", 6, 0): {0: 100000}, ("Yacht", 6, 1): {0: 99571, 50: 429}, ("Yacht", 6, 2): {0: 94726, 50: 5274}, ("Yacht", 6, 3): {0: 84366, 50: 15634}, ("Yacht", 6, 4): {50: 29218, 0: 70782}, ("Yacht", 6, 5): {0: 56573, 50: 43427}, ("Yacht", 6, 6): {50: 55794, 0: 44206}, ("Yacht", 6, 7): {50: 66422, 0: 33578}, ("Yacht", 6, 8): {0: 25079, 50: 74921}, ("Yacht", 7, 0): {0: 100000}, ("Yacht", 7, 1): {0: 98833, 50: 1167}, ("Yacht", 7, 2): {0: 87511, 50: 12489}, ("Yacht", 7, 3): {0: 68252, 50: 31748}, ("Yacht", 7, 4): {0: 49065, 50: 50935}, ("Yacht", 7, 5): {0: 33364, 50: 66636}, ("Yacht", 7, 6): {50: 78517, 0: 21483}, ("Yacht", 7, 7): {50: 86403, 0: 13597}, ("Yacht", 7, 8): {50: 91517, 0: 8483}, ("Yacht", 8, 0): {0: 100000}, ("Yacht", 8, 1): {0: 97212, 50: 2788}, ("Yacht", 8, 2): {50: 23038, 0: 76962}, ("Yacht", 8, 3): {0: 50533, 50: 49467}, ("Yacht", 8, 4): {50: 70019, 0: 29981}, ("Yacht", 8, 5): {50: 83224, 0: 16776}, ("Yacht", 8, 6): {50: 90921, 0: 9079}, ("Yacht", 8, 7): {50: 95295, 0: 4705}, ("Yacht", 8, 8): {50: 97637, 0: 2363}} \ No newline at end of file From 807405c7be26ac11601ffc3868e6deb48070cc43 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 28 May 2024 20:06:46 +0200 Subject: [PATCH 020/127] Adjusted difficulty --- worlds/yachtdice/Rules.py | 4 ++++ worlds/yachtdice/__init__.py | 4 ++-- 2 files changed, 6 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 377ec7be7006..2039e0e9664c 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -163,6 +163,10 @@ def percentile_distribution(dist, percentile): percReturn = [0, 0.4, 0.4, 0.45, 0.45, 0.45][diff] diffDivide = [0, 9, 5, 3, 2, 1][diff] + if scoremulttype == 2: + percReturn = [0, 0.4, 0.4, 0.45, 0.45, 0.45][diff] + diffDivide = [0, 9, 8, 5, 4, 3][diff] + #calculate total distribution total_dist = {0: 1} for j in range(len(categories)): diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index aeca814332b7..77b20330b4eb 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -38,7 +38,7 @@ class YachtDiceWorld(World): item_name_groups = ITEM_GROUPS - ap_world_version = "1.1" + ap_world_version = "1.1.1" def _get_yachtdice_data(self): return { @@ -153,7 +153,7 @@ def generate_early(self): if self.options.game_mode.value == 1: self.max_score = scoreInLogic - print(f"Max score: {self.max_score}, difficulty {game_difficulty}") + #print(f"Max score: {self.max_score}, difficulty {game_difficulty}") if self.options.game_mode.value == 2: self.max_score = 1000 From 1a8d807a8d271c7e545df4a52809e17442f63e54 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 28 May 2024 22:47:49 +0200 Subject: [PATCH 021/127] New version of the apworld, with 1000 as final score, always Will still need to check difficulty and weights of adding items. Website is not ready yet, so this version is not usable yet :) --- worlds/yachtdice/Items.py | 10 +- worlds/yachtdice/Locations.py | 23 +-- worlds/yachtdice/Options.py | 296 ++++++++++++++++++---------------- worlds/yachtdice/Rules.py | 131 ++++++--------- worlds/yachtdice/__init__.py | 237 +++++++++++++++------------ 5 files changed, 369 insertions(+), 328 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index e2c2de30ba9a..33cf3b3fc4e7 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -17,7 +17,10 @@ class YachtDiceItem(Item): "Dice Fragment": ItemData(16871244001, ItemClassification.progression), "Roll": ItemData(16871244002, ItemClassification.progression), "Roll Fragment": ItemData(16871244003, ItemClassification.progression), + "Score Multiplier": ItemData(16871244004, ItemClassification.progression), + "Fixed Score Multiplier": ItemData(16871244005, ItemClassification.progression), + "Step Score Multiplier": ItemData(16871244006, ItemClassification.progression), "Category Ones": ItemData(16871244103, ItemClassification.progression), "Category Twos": ItemData(16871244104, ItemClassification.progression), @@ -63,7 +66,7 @@ class YachtDiceItem(Item): "Story Chapter": ItemData(16871244202, ItemClassification.filler), "Good RNG": ItemData(16871244203, ItemClassification.filler), "Bad RNG": ItemData(16871244204, ItemClassification.trap), - "Extra Point": ItemData(16871244205, ItemClassification.useful), + "Extra Point": ItemData(16871244205, ItemClassification.useful), #not included in logic "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), "10 Points": ItemData(16871244302, ItemClassification.progression), @@ -71,6 +74,11 @@ class YachtDiceItem(Item): } ITEM_GROUPS = { + "Score Multiplier": { + "Score Multiplier", + "Step Score Multiplier", + "Fixed Score Multiplier" + }, "Categories": { "Category Ones", "Category Twos", diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index b54e896a6aca..6bcc97decec6 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -25,9 +25,8 @@ def all_locations_fun(max_score): return location_table #function that loads in all locations necessary for the game, so based on options. -def ini_locations(max_score, num_locs, dif): - location_table = {} - +#will make sure that goal_score and max_score are included locations +def ini_locations(goal_score, max_score, num_locs, dif): scaling = 2 #parameter that determines how many low-score location there are. #need more low-score locations or lower difficulties: if dif == 1: @@ -35,25 +34,31 @@ def ini_locations(max_score, num_locs, dif): elif dif == 2: scaling = 2.2 + scores = [] #the scores follow the function int( 1 + (perc ** scaling) * (max_score-1) ) #however, this will have many low values, sometimes repeating. #to avoid repeating scores, hiscore keeps tracks of the highest score location #and the next score will always be at least hiscore + 1 #note that curscore is at most max_score-1 hiscore = 0 - for i in range(num_locs): + for i in range(num_locs - 1): perc = (i/num_locs) curscore = int( 1 + (perc ** scaling) * (max_score-2) ) if(curscore <= hiscore): curscore = hiscore + 1 hiscore = curscore - location_table[f"{curscore} score"] = LocData(starting_index + curscore, "Board", curscore) + scores += [curscore] + + #if the goal score is not in the list, find the closest one and make it the goal. + if goal_score not in scores: + closest_num = min(scores, key=lambda x: abs(x - 500)) + scores[scores.index(closest_num)] = goal_score - #Finally, add a check for the actual max_score. - #This is *not* counted in num_locs, since the victory items is not as well. - location_table[f"{max_score} score"] = LocData(starting_index + max_score, "Board", max_score) + scores += [max_score] + + location_table = {f"{score} score": LocData(starting_index + score, "Board", score) for score in scores} - return location_table + return location_table, scores.index(goal_score) lookup_id_to_name: typing.Dict[int, str] = {data.id: item_name for item_name, data in all_locations.items() if data.id} diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index a351da45ee7b..60c8a96ea7ce 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -1,26 +1,57 @@ from Options import Choice, Range, PerGameCommonOptions from dataclasses import dataclass -class numberOfDiceAndRolls(Choice): +class gameDifficulty(Choice): """ - Total number of dice and rolls in the pool. - You start with one dice and one roll. - This option does not change the final goal. - """ - display_name = "Number of dice and rolls in pool" - option_5_dice_and_5_rolls = 5 - option_6_dice_and_4_rolls = 6 - option_7_dice_and_3_rolls = 7 - option_8_dice_and_2_rolls = 8 - default = 5 + Difficulty. This setting determines how difficult the scores are to achieve. + Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. + Medium: intended difficulty. If you play smart, you'll finish the game without any trouble. + Hard: you'll need to play smart and be lucky. + Extreme: really hard mode, which requires many brain wrinkles and insane luck. NOT RECOMMENDED FOR MULTIWORLDS. + """ + display_name = "Game difficulty" + option_easy = 1 + option_medium = 2 + option_hard = 3 + option_extreme = 4 + default = 2 + +class scoreForLastCheck(Range): + """ + The items in the itempool will always allow you to reach this score of 1000. + By default, the last check is at a score of 1000. + However, you can set the score for last check lower. This will make the game shorter and easier. + """ + display_name = "Score for last check" + range_start = 500 + range_end = 1000 + default = 1000 -# class numberOfExtraRolls(Range): -# """Total number of extra rolls you can add to your collection. -# Wait this is always 4? Yes, I removed other options, but they might return.""" -# display_name = "Number of extra rolls" -# range_start = 4 -# range_end = 4 -# default = 4 +class scoreForGoal(Range): + """ + This setting determines what score you need to get to finish the game. + It cannot be higher than the score for last check (if it is, it is changed automatically). + """ + display_name = "Score for goal" + range_start = 500 + range_end = 1000 + default = 777 + +class minimalNumberOfDiceAndRolls(Choice): + """ + The minimal number of dice and rolls in the pool. + There is an option later on that, if selected, can put more dice or rolls in the pool. + You can never get more than 8 dice and 5 rolls. + You start with one dice and one roll. + """ + display_name = "Minimal number of dice and rolls in pool" + option_2_dice_and_2_rolls = 1 + option_5_dice_and_3_rolls = 2 + option_5_dice_and_5_rolls = 3 + option_6_dice_and_4_rolls = 4 + option_7_dice_and_3_rolls = 5 + option_8_dice_and_2_rolls = 6 + default = 2 class numberDiceFragmentsPerDice(Range): """ @@ -34,8 +65,6 @@ class numberDiceFragmentsPerDice(Range): range_end = 5 default = 4 - - class numberRollFragmentsPerRoll(Range): """ Rolls can be split into fragments, gathering enough will give you an extra roll. @@ -48,140 +77,117 @@ class numberRollFragmentsPerRoll(Range): range_end = 5 default = 4 - -class numberExtraDiceFragments(Range): +class alternativeCategories(Range): """ - Number of extra dice fragments in the pool. - The number cannot exceed the number of dice fragments per dice, - if it does, the generation will lower this setting automatically. - The option will never give an extra full dice, but makes it easier to collect all dice. + There are 16 default categories, but there are also 16 alternative categories. + These alternative categories can replace the default categories. + They are a little strange, but can give a fun new experience. + In the game, you can hover over categories to check what they do. + How many alternative categories would you like to see in your game? """ - display_name = "Number of extra dice fragments in the pool" + display_name = "Number of alternative categories" range_start = 0 - range_end = 4 - default = 3 + range_end = 16 + default = 0 +class chanceOfDice(Range): + """ + The itempool is always filled in such a way, that you can get to a score of 1000. + Extra items are shuffled in the itempool that will help you on your quest. - -class numberExtraRollFragments(Range): + The higher this chance compared to the others, the more Dice (or Dice Fragments if selected) are added. + And of course, more dice = more points! """ - Number of extra roll fragments in the pool. - The number cannot exceed the number of roll fragments per roll - if it does, the generation will lower this setting automatically. - The option will never give an extra full roll, but makes it easier to collect all roll. + display_name = "Chance of adding Dice" + range_start = 0 + range_end = 100 + default = 5 + +class chanceOfRoll(Range): """ - display_name = "Number of extra roll fragments in the pool" + The itempool is always filled in such a way, that you can get to a score of 1000. + Extra items are shuffled in the itempool that will help you on your quest. + + The higher this chance compared to the others, the more Rolls (or Roll Fragments if selected) are added. + And with more rolls, you'll be able to reach higher scores. + """ + display_name = "Chance of adding Roll" range_start = 0 - range_end = 4 - default = 3 - + range_end = 100 + default = 20 -class gameDifficulty(Choice): - """ - Difficulty. This setting determines how difficult the scores are to achieve. - Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. - Medium: intended difficulty. If you play smart, you'll finish the game without any trouble. - Hard: you may need to play smart, be lucky and understand the score multiplier mechanic. Higher final goal. - Extreme: more strict logic, higher final goal. ONLY FOR EXPERIENCES PLAYERS IN MULTIWORLDS. +class chanceOfFixedScoreMultiplier(Range): """ - display_name = "Game difficulty" - option_easy = 1 - option_medium = 2 - option_hard = 3 - option_extreme = 4 - #option_nightmare = 5 + The itempool is always filled in such a way, that you can get to a score of 1000. + Extra items are shuffled in the itempool that will help you on your quest. - default = 2 - - -class goalLocationPercentage(Range): + The higher this chance compared to the others, the more Fixed Score Multipliers are added. + Getting a Fixed Score Multiplier will boost all future scores by 10%. """ - What percentage of checks you need to get, to 'finish' the game. - Low percentage means you can probably 'finish' the game with some of the dice/rolls/categories. - High percentage means you need most of the useful items, and on higher difficulties you might need them all. - """ - display_name = "Goal percentage location" - range_start = 70 + display_name = "Chance of adding Fixed Score Multiplier" + range_start = 0 range_end = 100 - default = 90 + default = 30 -class alternativeCategories(Range): +class chanceOfStepScoreMultiplier(Range): """ - There are 16 default categories, but there are also 16 alternative categories. - These alternative categories can replace the default categories. - How many alternative categories would you like to see in your game? + The itempool is always filled in such a way, that you can get to a score of 1000. + Extra items are shuffled in the itempool that will help you on your quest. + + The higher this chance compared to the others, the more Step Score Multipliers are added. + The Step Score Multiplier boosts your multiplier after every roll by 1%, and resets on reset. + So, keep high scoring categories for last to get the most of them. + By default, this item is not included. It is fun however, you just need to know the above strategy. """ - display_name = "Number of alternative categories" + display_name = "Chance of adding Step Score Multiplier" range_start = 0 - range_end = 16 - default = 0 - - + range_end = 100 + default = 0 -class scoreMultiplierType(Choice): +class chanceOfDoubleCategory(Range): """ - There are 10 Score Multiplier items available. - This options decides how the Score Multipliers work. - Both options are of similar difficulty. - - fixed_multiplier: every multiplier item gives you +10%. - Every score gets multiplied with the multiplier. - So with all score multipliers, all scores get +100%. + The itempool is always filled in such a way, that you can get to a score of 1000. + Extra items are shuffled in the itempool that will help you on your quest. - step_multiplier: every multiplier item gives you +1%. - Your multiplier increases with this percentage after every turn. - So in the first turn you have no multiplier, but in turn 16, you can have a +150% multiplier. - So, save your high-scoring categories for last. This option allow for more strategic games. + The higher this chance compared to the others, the more frequently categories will appear multiple times. + Getting a category for the second time, gives a x2 multiplier for that category. + And getting the category again will double it again! """ - display_name = "Score multiplier type" - option_fixed_multiplier = 1 - option_step_multiplier = 2 - default = 1 + display_name = "Chance of adding Double Category" + range_start = 0 + range_end = 100 + default = 50 -class gameMode(Choice): +class chanceOfPoints(Range): """ - Yacht Dice has three main game modes: - - Standard. Get to 500 points on medium difficulty (and a bit lower/higher on other difficulties). + The itempool is always filled in such a way, that you can get to a score of 1000. + Extra items are shuffled in the itempool that will help you on your quest. - Points mode: a bunch of "10 Points" items are shuffled through the item pool. Get to 1000 points. - The amount of "10 Points" items in the pool depends on your selected difficulty. - - I'll add a new category soon™ + The higher this chance compared to the others, the more points are added into the pool. + And getting points gives you... points. You can get 1 point, 10 points, and even 100 points. """ - # Extra categories: categories may appear multiple times. - # Getting a category again gives a x2 multiplier for that category. Get to 1000 points. - # The amount of "10 Points" items in the pool depends on your selected difficulty. - - display_name = "Game mode" - option_standard = 1 - option_points_mode = 2 - option_extra_categories = 3 - default = 1 + display_name = "Chance of adding Points" + range_start = 0 + range_end = 100 + default = 20 -class pointsGameMode(Choice): +class pointsSize(Choice): """ - If points mode is selected, this option determines the value of the points items. - - yes_1_per_item: hundreds of "1 Point" items are shuffled into the pool. - NOT recommended in multiplayer, unless everyone is aware of the hundred of points items - - yes_10_per_item: puts tens of "10 Points" (and a few 1 Points) into the item pool. - - yes_100_per_item: puts a few "100 Points" (and a few 1 and 10 Points) into the item pool. - Warning: will unlock many checks if an 100 Points item is collected. + If you choose to add points to the item pool, do you prefer many small points, + a few larger points, or a mix of both? """ - display_name = "Value of points item" - option_1_per_item = 2 - option_10_per_item = 3 - option_100_per_item = 4 - default = 3 - + display_name = "Size of points" + option_small = 1 + option_medium = 2 + option_large = 3 + option_mix = 4 + default = 2 class minimizeExtraItems(Choice): """ - Would you like to minimize the number of extra items in the pool? - Note that if you put this on, categories Fives, Sixes and Pair are put early into the playthrough. + Besides necessary items, Yacht Dice needs extra items (see below) in the item pool to ensure success in generation. + It is possible however to decrease the number of extra items, + by putting categories Fives, Sixes and Pair early into the playthrough. Would you like to do this? """ display_name = "Minimize extra items" option_no_dont = 1 @@ -190,12 +196,13 @@ class minimizeExtraItems(Choice): class addExtraPoints(Choice): """ - Yacht Dice typically has space for more items. - Would you like extra points shuffled in the item pool? + Yacht Dice typically has space for extra items. + If there is space, would you like extra points shuffled in the item pool? They make the game a little bit easier, as they are not considered in the logic. - all_of_it: put as many extra points in locations as possible + + all_of_it: fill all locations with extra points sure: put some extra points in - never: don't but any extra points + never: don't put any extra points """ display_name = "Extra points in the pool" option_all_of_it = 1 @@ -206,8 +213,12 @@ class addExtraPoints(Choice): class addStoryChapters(Choice): """ Yacht Dice typically has space for more items. - Would you like story chapters shuffled in the item pool? - Note: if you have extra points on "all_of_it" there won't be story chapters. + If there is space, would you like story chapters shuffled in the item pool? + Note: if you have extra points on "all_of_it", there won't be story chapters. + + all_of_it: fill all locations with story chapters + sure: if there is space left, put in 10 story chapters. + never: don't put any story chapters, I don't like reading (but I'm glad you're reading THIS!) """ display_name = "Extra story chapters in the pool" option_all_of_it = 1 @@ -217,7 +228,8 @@ class addStoryChapters(Choice): class whichStory(Choice): """ - The most important part of Yacht Dice is the narrative. + The most important part of Yacht Dice is the narrative. + If you choose to 10 story chapters are shuffled into the item pool. You can read them in the feed on the website. Which story would you like to read? @@ -234,17 +246,25 @@ class whichStory(Choice): @dataclass class YachtDiceOptions(PerGameCommonOptions): - number_of_dice_and_rolls: numberOfDiceAndRolls + game_difficulty: gameDifficulty + score_for_last_check: scoreForLastCheck + score_for_goal: scoreForGoal + + minimal_number_of_dice_and_rolls: minimalNumberOfDiceAndRolls number_of_dice_fragments_per_dice: numberDiceFragmentsPerDice - number_of_extra_dice_fragments: numberExtraDiceFragments number_of_roll_fragments_per_roll: numberRollFragmentsPerRoll - number_of_extra_roll_fragments: numberExtraRollFragments - game_difficulty: gameDifficulty - goal_location_percentage: goalLocationPercentage + alternative_categories: alternativeCategories - score_multiplier_type: scoreMultiplierType - game_mode: gameMode - points_game_mode: pointsGameMode + + #the following options determine what extra items are shuffled into the pool: + chance_of_dice: chanceOfDice + chance_of_roll: chanceOfRoll + chance_of_fixed_score_multiplier: chanceOfFixedScoreMultiplier + chance_of_step_score_multiplier: chanceOfStepScoreMultiplier + chance_of_double_category: chanceOfDoubleCategory + chance_of_points: chanceOfPoints + points_size: pointsSize + minimize_extra_items: minimizeExtraItems add_extra_points: addExtraPoints add_story_chapters: addStoryChapters diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 2039e0e9664c..299217bb3679 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -68,44 +68,57 @@ def extractProgression(state, player, options): #method to obtain a list of what items the player has. #this includes categories, dice, rolls and score multiplier. - number_of_dice = ( - state.count("Dice", player) - + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value - ) - - number_of_rerolls = ( - state.count("Roll", player) - + state.count("Roll Fragment", player) // options.number_of_roll_fragments_per_roll.value - ) - - number_of_mults = state.count("Score Multiplier", player) - - - score_mult = -10000 - if options.score_multiplier_type.value == 1: #fixed - score_mult = 0.1 * number_of_mults - if options.score_multiplier_type.value == 2: #step - score_mult = 0.01 * number_of_mults - - categories = [] - - for category_name, category_value in category_mappings.items(): - if state.count(category_name, player) >= 1: - categories += [Category(category_value, state.count(category_name, player))] - - extra_points_in_logic = state.count("1 Point", player) - extra_points_in_logic += state.count("10 Points", player) * 10 - extra_points_in_logic += state.count("100 Points", player) * 100 - - - return [categories, number_of_dice, number_of_rerolls, score_mult, extra_points_in_logic] + if player == "state_is_a_list": + number_of_dice = ( + state.count("Dice") + + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value + ) + number_of_rerolls = ( + state.count("Roll") + + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value + ) + roll = state.count("Roll") + rollfragments = state.count("Roll Fragment") + number_of_fixed_mults = state.count("Fixed Score Multiplier") + number_of_step_mults = state.count("Step Score Multiplier") + categories = [] + for category_name, category_value in category_mappings.items(): + if state.count(category_name) >= 1: + categories += [Category(category_value, state.count(category_name))] + extra_points_in_logic = state.count("1 Point") + extra_points_in_logic += state.count("10 Points") * 10 + extra_points_in_logic += state.count("100 Points") * 100 + else: + number_of_dice = ( + state.count("Dice", player) + + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value + ) + number_of_rerolls = ( + state.count("Roll", player) + + state.count("Roll Fragment", player) // options.number_of_roll_fragments_per_roll.value + ) + roll = state.count("Roll", player) + rollfragments = state.count("Roll Fragment", player) + number_of_fixed_mults = state.count("Fixed Score Multiplier", player) + number_of_step_mults = state.count("Step Score Multiplier", player) + categories = [] + for category_name, category_value in category_mappings.items(): + if state.count(category_name, player) >= 1: + categories += [Category(category_value, state.count(category_name, player))] + extra_points_in_logic = state.count("1 Point", player) + extra_points_in_logic += state.count("10 Points", player) * 10 + extra_points_in_logic += state.count("100 Points", player) * 100 + + return [categories, number_of_dice, number_of_rerolls, + number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic] #We will store the results of this function as it is called often for the same parameters. yachtdice_cache = {} #Function that returns the feasible score in logic based on items obtained. -def diceSimulationStrings(categories, nbDice, nbRolls, multiplier, diff, scoremulttype): - tup = tuple([tuple(sorted([c.name+str(c.quantity) for c in categories])), nbDice, nbRolls, multiplier, diff, scoremulttype]) #identifier +def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, diff): + tup = tuple([tuple(sorted([c.name+str(c.quantity) for c in categories])), + nbDice, nbRolls, fixed_mult, step_mult, diff]) #identifier #if already computed, return the result if tup in yachtdice_cache.keys(): @@ -161,11 +174,7 @@ def percentile_distribution(dist, percentile): percReturn = [0, 0.4, 0.4, 0.45, 0.45, 0.45][diff] - diffDivide = [0, 9, 5, 3, 2, 1][diff] - - if scoremulttype == 2: - percReturn = [0, 0.4, 0.4, 0.45, 0.45, 0.45][diff] - diffDivide = [0, 9, 8, 5, 4, 3][diff] + diffDivide = [0, 9, 8, 5, 4, 3][diff] #calculate total distribution total_dist = {0: 1} @@ -178,15 +187,10 @@ def percentile_distribution(dist, percentile): for key in dist.keys(): dist[key] /= 100000 - #for higher difficulties, the simulation gets multiple tries for categories. dist = max_dist(dist, max(1, len(categories) // diffDivide)) - cur_mult = -100 - if scoremulttype == 1: #fixed - cur_mult = multiplier - if scoremulttype == 2: #step - cur_mult = j * multiplier + cur_mult = fixed_mult + step_mult * j total_dist = add_distributions(total_dist, dist, (1 + cur_mult) * ( 2 ** (categories[j].quantity-1) )) #save result into the cache, then return it @@ -195,43 +199,10 @@ def percentile_distribution(dist, percentile): # Returns the feasible score that one can reach with the current state, options and difficulty. def diceSimulation(state, player, options): - categories, nbDice, nbRolls, multiplier, expoints = extractProgression(state, player, options) - return diceSimulationStrings(categories, nbDice, nbRolls, multiplier, - options.game_difficulty.value, options.score_multiplier_type.value) + expoints + categories, nbDice, nbRolls, fixed_mult, step_mult, expoints = extractProgression(state, player, options) + return diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, + options.game_difficulty.value) + expoints -def calculateScoreInLogic(state, options): - number_of_dice = ( - state.count("Dice") - + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value - ) - - number_of_rerolls = ( - state.count("Roll") - + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value - ) - - number_of_mults = state.count("Score Multiplier") - - - score_mult = -10000 - if options.score_multiplier_type.value == 1: #fixed - score_mult = 0.1 * number_of_mults - if options.score_multiplier_type.value == 2: #step - score_mult = 0.01 * number_of_mults - - categories = [] - - for category_name, category_value in category_mappings.items(): - if state.count(category_name) >= 1: - categories += [Category(category_value, state.count(category_name))] - - extra_points_in_logic = state.count("1 Point") - extra_points_in_logic += state.count("10 Points") * 10 - extra_points_in_logic += state.count("100 Points") * 100 - - return diceSimulationStrings(categories, number_of_dice, number_of_rerolls, score_mult, - options.game_difficulty.value, options.score_multiplier_type.value) + extra_points_in_logic - # Sets rules on entrances and advancements that are always applied def set_yacht_rules(world: MultiWorld, player: int, options): for l in world.get_locations(player): diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 77b20330b4eb..49fff40c3b94 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -2,7 +2,7 @@ from .Items import YachtDiceItem, item_table, ITEM_GROUPS from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions -from .Rules import set_yacht_rules, set_yacht_completion_rules, calculateScoreInLogic, diceSimulation +from .Rules import set_yacht_rules, set_yacht_completion_rules, diceSimulation from ..AutoWorld import World, WebWorld import math import logging @@ -38,7 +38,7 @@ class YachtDiceWorld(World): item_name_groups = ITEM_GROUPS - ap_world_version = "1.1.1" + ap_world_version = "1.2" def _get_yachtdice_data(self): return { @@ -51,24 +51,17 @@ def _get_yachtdice_data(self): def generate_early(self): self.itempool = [] - self.precollected = [] - - #calculate the maximum score goal: - game_difficulty = self.options.game_difficulty.value + self.precollected = [] #number of dice and rolls in the pull - numDice = self.options.number_of_dice_and_rolls.value # either 5, 6, 7 or 8 - numRolls = 10 - numDice # either 5, 4, 3 en 2 + ind_dice_rolls = self.options.minimal_number_of_dice_and_rolls.value + + numDice = [0, 2, 5, 5, 6, 7, 8][ind_dice_rolls] + numRolls = [0, 2, 3, 5, 4, 3, 2][ind_dice_rolls] #amount of dice and roll fragments needed to get a dice or roll amDiceF = self.options.number_of_dice_fragments_per_dice.value amRollsF = self.options.number_of_roll_fragments_per_roll.value - - #number of extra dice and roll fragments in the pool, - #so that you don't have to wait for that one last fragment - #capped to be one less than number of fragments needed to complete a new dice/roll. - exDiceF = max(0, min(amDiceF - 1, self.options.number_of_extra_dice_fragments.value) ) - exRollsF = max(0, min(amRollsF - 1, self.options.number_of_extra_roll_fragments.value) ) #count number of plando items not from pool, we need extra locations for them self.extra_plando_items = 0 @@ -87,7 +80,7 @@ def generate_early(self): self.multiworld.random.shuffle(categorylist) - #add all categories. Note: not "choice" and "inverse choice", they are obtained at the start + #A list of all possible categories. all_categories = [ ["Category Choice", "Category Double Threes and Fours"], ["Category Inverse Choice", "Category Quadruple Ones and Twos"], @@ -107,43 +100,39 @@ def generate_early(self): ["Category Yacht", "Category 4&5 Full House"] ] + #categories used in this game. possible_categories = [] for index, cats in enumerate(all_categories): possible_categories += [cats[categorylist[index]]] + + # Add Choice and Inverse choice (or their alts) to the precollected list. if index == 0 or index == 1: self.precollected += [cats[categorylist[index]]] else: self.itempool += [cats[categorylist[index]]] - + # Also start with one Roll and one Dice self.precollected += ["Roll"] self.precollected += ["Dice"] - #if one fragment per dice, just add "Dice" objects + #if one fragment per dice, just add "Dice" objects if amDiceF == 1: self.itempool += ["Dice"] * (numDice-1) #minus one because one is in start inventory else: - self.itempool += ["Dice"] #always add a full dice to make generation easier - #add dice fragments, note the -2 because one is added in the previous line, one is in start inventory - self.itempool += ["Dice Fragment"] * (amDiceF * (numDice-2) + exDiceF) + self.itempool += ["Dice"] #always add a full dice to make generation easier (will be 'early') + self.itempool += ["Dice Fragment"] * (amDiceF * (numDice-2)) #if one fragment per roll, just add "Roll" objects if amRollsF == 1: self.itempool += ["Roll"] * (numRolls-1) #minus one because one is in start inventory else: - self.itempool += ["Roll"] #always add a full roll to make generation easier - #add roll fragments, note the -2 because one is added in the previous line, one is in start inventory - self.itempool += ["Roll Fragment"] * (amRollsF * (numRolls-2) + exRollsF) - - #always add exactly 10 score multipliers - self.itempool += ["Score Multiplier"] * 10 - - #At this point, the itempool has all basic items. - scoreInLogic = calculateScoreInLogic(self.itempool+self.precollected, self.options) - + self.itempool += ["Roll"] #always add a full roll to make generation easier (will be 'early') + self.itempool += ["Roll Fragment"] * (amRollsF * (numRolls-2)) + already_items = len(self.itempool) + self.extra_plando_items + #Yacht Dice needs extra filler items so it doesn't get stuck in generation. if self.options.minimize_extra_items.value == 2: extraPercentage = max(0.1, 0.5 - self.multiworld.players / 10) else: @@ -151,39 +140,95 @@ def generate_early(self): extraLocationsNeeded = max(10, math.ceil(already_items * extraPercentage)) - if self.options.game_mode.value == 1: - self.max_score = scoreInLogic - #print(f"Max score: {self.max_score}, difficulty {game_difficulty}") + self.max_score = self.options.score_for_last_check.value + self.goal_score = min(self.max_score, self.options.score_for_goal.value) + + weights = [ + self.options.chance_of_dice.value, + self.options.chance_of_roll.value, + self.options.chance_of_fixed_score_multiplier.value, + self.options.chance_of_step_score_multiplier.value, + self.options.chance_of_double_category.value, + self.options.chance_of_points.value + ] + + if self.options.chance_of_dice.value > 0: + if amDiceF > 1: + self.itempool += ["Dice Fragment"] * (amDiceF - 1) + if self.options.chance_of_roll.value > 0: + if amRollsF > 1: + self.itempool += ["Roll Fragment"] * (amRollsF - 1) - if self.options.game_mode.value == 2: - self.max_score = 1000 - self.extra_points_for_game_mode = self.max_score - scoreInLogic + + + while diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: + print("Max score currently ") + print(diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options)) + print(self.itempool) - if(self.options.points_game_mode.value >= 4): - while self.extra_points_for_game_mode >= 89: #rather have 100 points than lot of smaller items - self.itempool += ["100 Points"] - self.extra_points_for_game_mode -= 100 - - if(self.options.points_game_mode.value >= 3): - while self.extra_points_for_game_mode >= 7: #rather have 10 points that lot of 1 points. - self.itempool += ["10 Points"] - self.extra_points_for_game_mode -= 10 + allitems = self.itempool + self.precollected + dice_fragments_in_pool = allitems.count("Dice") * amDiceF + allitems.count("Dice Fragment") + if dice_fragments_in_pool + 1 >= 9 * amDiceF: + weights[0] = 0 #can't have 9 dice + roll_fragments_in_pool = allitems.count("Roll") * amDiceF + allitems.count("Roll Fragment") + if roll_fragments_in_pool + 1 >= 6 * amRollsF: + weights[1] = 0 # can't have 6 rolls - if(self.options.points_game_mode.value >= 2 and self.extra_points_for_game_mode > 0): - self.itempool += ["1 Point"] * self.extra_points_for_game_mode - - if self.options.game_mode.value == 3: - self.max_score = 1000 - while calculateScoreInLogic(self.itempool+self.precollected, self.options) < 1000: - self.itempool += [self.multiworld.random.choice(possible_categories)] + #if all weights are zero, allow to add fixed score multiplier, double category, points. + if sum(weights) == 0: + weights[2] = 1 + weights[4] = 1 + weights[5] = 1 + + which_item_to_add = self.multiworld.random.choices([0,1,2,3,4,5], weights = weights)[0] + if which_item_to_add == 0: + if amDiceF == 1: + self.itempool += ["Dice"] + else: + self.itempool += ["Dice Fragment"] + weights[0] /= 1.1 + elif which_item_to_add == 1: + if amRollsF == 1: + self.itempool += ["Roll"] + else: + self.itempool += ["Roll Fragment"] + weights[1] /= 1.1 + elif which_item_to_add == 2: + self.itempool += ["Fixed Score Multiplier"] + weights[2] /= 1.1 + elif which_item_to_add == 3: + self.itempool += ["Step Score Multiplier"] + weights[3] /= 1.1 + elif which_item_to_add == 4: + self.itempool += self.multiworld.random.choices(possible_categories) + weights[4] /= 1.1 + elif which_item_to_add == 5: + score_dist = self.options.points_size.value + probs = [1,0,0] + if score_dist == 1: + probs = [0.9,0.08,0] + if score_dist == 2: + probs = [0,1,0] + if score_dist == 3: + probs = [0,0.3,0.7] + if score_dist == 4: + probs = [0.3,0.4,0.3] + self.itempool += self.multiworld.random.choices(["1 Point", "10 Points", "100 Points"], + weights = probs) + weights[5] /= 1.1 + else: + raise Exception("Invalid index when adding new items in Yacht Dice") - - + print("Max score after adding ") + print(self.itempool) + print(diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options)) + print() + #count the number of locations in the game. extra_plando_items is set in generate_early #and counts number of plando items *not* from pool. - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 #+1 because of Victory item self.number_of_locations = already_items + extraLocationsNeeded # From here, we'll count the number of items in the self.itempool, and add items to the pool, @@ -191,55 +236,47 @@ def generate_early(self): #first, we flood the entire pool with extra points (useful), if that setting is chosen. if self.options.add_extra_points.value == 1: #all of the extra points - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 100) #second, we flood the entire pool with story chapters (filler), if that setting is chosen. if self.options.add_story_chapters.value == 1: #all of the story chapters - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 number_of_items = min(self.number_of_locations - already_items, 100) number_of_items = (number_of_items // 10) * 10 #story chapters always come in multiples of 10 self.itempool += ["Story Chapter"] * number_of_items #add some extra points (useful) if self.options.add_extra_points.value == 2: #add extra points if wanted - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) #add some story chapters (filler) if self.options.add_story_chapters.value == 2: #add extra points if wanted - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 if(self.number_of_locations - already_items >= 10): self.itempool += ["Story Chapter"] * 10 #add some extra points if there is still room if self.options.add_extra_points.value == 2: - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) #add some encouragements filler-items if there is still room - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Encouragement"] * min(self.number_of_locations - already_items, 5) #add some fun facts filler-items if there is still room - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) #finally, add some "Good RNG" and "Bad RNG" items to complete the item pool #these items are filler and don't do anything. #probability of Good and Bad rng, based on difficulty for fun :) - p = 0.5 - if self.options.game_difficulty.value == 1: - p = 0.9 - elif self.options.game_difficulty.value == 2: - p = 0.7 - elif self.options.game_difficulty.value == 3: - p = 0.5 - elif self.options.game_difficulty.value == 4: - p = 0.1 + p = 1.1 - 0.25 * self.options.game_difficulty.value - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += self.multiworld.random.choices( ["Good RNG", "Bad RNG"], weights=[p, 1-p], @@ -247,9 +284,10 @@ def generate_early(self): ) #we're done adding items. Now because of the last step, number of items should be number of locations - already_items = len(self.itempool) + self.extra_plando_items - if len(self.itempool) != self.number_of_locations: - raise Exception(f"Number in self.itempool is not number of locations {len(self.itempool)} {self.number_of_locations}.") + already_items = len(self.itempool) + self.extra_plando_items + 1 + if already_items != self.number_of_locations: + raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " + f"{already_items} {self.number_of_locations}.") for item in self.precollected: self.multiworld.push_precollected(self.create_item(item)) @@ -263,12 +301,9 @@ def create_items(self): self.multiworld.itempool += [item] def create_regions(self): - #we have no complicated regions, just one rule per location. - - game_difficulty = self.options.game_difficulty.value - - #call the ini_locations function, that generations locations based on the inputs. - location_table = ini_locations(self.max_score, self.number_of_locations, game_difficulty) + #call the ini_locations function, that generates locations based on the inputs. + location_table, goal_index = ini_locations(self.goal_score, self.max_score, self.number_of_locations, + self.options.game_difficulty.value) #simple menu-board construction menu = Region("Menu", self.player, self.multiworld) @@ -277,19 +312,15 @@ def create_regions(self): #add locations to board, one for every location in the location_table board.locations = [YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) for loc_name, loc_data in location_table.items() if loc_data.region == board.name] - - #parameter to see where the final check should be - goal_percentage_location = self.options.goal_location_percentage.value #which index of all locations should have the Victory item. - victory_id = int(goal_percentage_location / 100 * len(board.locations))-1 # Add the victory item to the correct location. # The website declares that the game is complete when the victory item is obtained. - board.locations[victory_id].place_locked_item(self.create_item("Victory")) + board.locations[goal_index].place_locked_item(self.create_item("Victory")) #these will be slot_data input - self.goal_score = board.locations[victory_id].yacht_dice_score + self.goal_score = board.locations[goal_index].yacht_dice_score self.max_score = board.locations[-1].yacht_dice_score #add the regions @@ -325,19 +356,24 @@ def fill_slot_data(self): yacht_dice_data = self._get_yachtdice_data() yacht_dice_options = self.options.as_dict( - "number_of_dice_and_rolls", - "number_of_dice_fragments_per_dice", - "number_of_roll_fragments_per_roll", - "number_of_extra_roll_fragments", - "game_difficulty", - "goal_location_percentage", - "alternative_categories", - "score_multiplier_type", - "game_mode", - "minimize_extra_items", - "add_extra_points", - "add_story_chapters", - "which_story" + "game_difficulty", + "score_for_last_check", + "score_for_goal", + "minimal_number_of_dice_and_rolls", + "number_of_dice_fragments_per_dice", + "number_of_roll_fragments_per_roll", + "alternative_categories", + "chance_of_dice", + "chance_of_roll", + "chance_of_fixed_score_multiplier", + "chance_of_step_score_multiplier", + "chance_of_double_category", + "chance_of_points", + "points_size", + "minimize_extra_items", + "add_extra_points", + "add_story_chapters", + "which_story" ) slot_data = {**yacht_dice_data, **yacht_dice_options} #combine the two @@ -345,6 +381,7 @@ def fill_slot_data(self): slot_data["goal_score"] = self.goal_score slot_data["last_check_score"] = self.max_score slot_data["ap_world_version"] = self.ap_world_version + print(1/0) return slot_data def create_item(self, name: str) -> Item: From 43d102b285dcca5785f3464455720246c869b5bc Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 31 May 2024 01:06:10 +0200 Subject: [PATCH 022/127] Changed yaml and small bug fixes Fix when goal and max are same Options: changed chance to weight --- .gitignore | 1 + worlds/yachtdice/Items.py | 2 +- worlds/yachtdice/Locations.py | 11 ++-- worlds/yachtdice/Options.py | 95 +++++++++++++++-------------------- worlds/yachtdice/__init__.py | 80 +++++++++++++++-------------- 5 files changed, 89 insertions(+), 100 deletions(-) diff --git a/.gitignore b/.gitignore index aa93ad8f7e48..1e2487153aea 100644 --- a/.gitignore +++ b/.gitignore @@ -886,3 +886,4 @@ worlds/witness/data/__pycache__/static_logic.cpython-311.pyc worlds/witness/data/__pycache__/utils.cpython-311.pyc *.pyc worlds/yachtdice.apworld +GenerateManyTimes.py diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 33cf3b3fc4e7..ec8a0ebea819 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -66,7 +66,7 @@ class YachtDiceItem(Item): "Story Chapter": ItemData(16871244202, ItemClassification.filler), "Good RNG": ItemData(16871244203, ItemClassification.filler), "Bad RNG": ItemData(16871244204, ItemClassification.trap), - "Extra Point": ItemData(16871244205, ItemClassification.useful), #not included in logic + "Bonus Point": ItemData(16871244205, ItemClassification.useful), #not included in logic "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), "10 Points": ItemData(16871244302, ItemClassification.progression), diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 6bcc97decec6..ee087c71c956 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -26,7 +26,7 @@ def all_locations_fun(max_score): #function that loads in all locations necessary for the game, so based on options. #will make sure that goal_score and max_score are included locations -def ini_locations(goal_score, max_score, num_locs, dif): +def ini_locations(goal_score, max_score, num_locs, dif): scaling = 2 #parameter that determines how many low-score location there are. #need more low-score locations or lower difficulties: if dif == 1: @@ -49,10 +49,11 @@ def ini_locations(goal_score, max_score, num_locs, dif): hiscore = curscore scores += [curscore] - #if the goal score is not in the list, find the closest one and make it the goal. - if goal_score not in scores: - closest_num = min(scores, key=lambda x: abs(x - 500)) - scores[scores.index(closest_num)] = goal_score + if goal_score != max_score: + #if the goal score is not in the list, find the closest one and make it the goal. + if goal_score not in scores: + closest_num = min(scores, key=lambda x: abs(x - 500)) + scores[scores.index(closest_num)] = goal_score scores += [max_score] diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 60c8a96ea7ce..a543af946180 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -18,9 +18,9 @@ class gameDifficulty(Choice): class scoreForLastCheck(Range): """ - The items in the itempool will always allow you to reach this score of 1000. - By default, the last check is at a score of 1000. - However, you can set the score for last check lower. This will make the game shorter and easier. + The items in the item pool will always allow you to reach a score of 1000. + By default, the last check is also at a score of 1000. + However, you can set the score for the last check to be lower. This will make the game shorter and easier. """ display_name = "Score for last check" range_start = 500 @@ -29,8 +29,8 @@ class scoreForLastCheck(Range): class scoreForGoal(Range): """ - This setting determines what score you need to get to finish the game. - It cannot be higher than the score for last check (if it is, it is changed automatically). + This setting determines what score you need to reach to finish the game. + It cannot be higher than the score for the last check (if it is, it is changed automatically). """ display_name = "Score for goal" range_start = 500 @@ -40,7 +40,7 @@ class scoreForGoal(Range): class minimalNumberOfDiceAndRolls(Choice): """ The minimal number of dice and rolls in the pool. - There is an option later on that, if selected, can put more dice or rolls in the pool. + These are guaranteed, unlike the later items. You can never get more than 8 dice and 5 rolls. You start with one dice and one roll. """ @@ -58,7 +58,7 @@ class numberDiceFragmentsPerDice(Range): Dice can be split into fragments, gathering enough will give you an extra dice. You start with one dice, and there will always be one full dice in the pool. The other dice are split into fragments, according to this setting. - Setting this to 1 fragment per dice, just puts 'Dice' objects in the pool. + Setting this to 1 fragment per dice just puts 'Dice' objects in the pool. """ display_name = "Number of dice fragments per dice" range_start = 1 @@ -70,17 +70,21 @@ class numberRollFragmentsPerRoll(Range): Rolls can be split into fragments, gathering enough will give you an extra roll. You start with one roll, and there will always be one full roll in the pool. The other three rolls are split into fragments, according to this setting. - Setting this to 1 fragment per roll, just puts 'Roll' objects in the pool. + Setting this to 1 fragment per roll just puts 'Roll' objects in the pool. """ display_name = "Number of roll fragments per roll" range_start = 1 range_end = 5 default = 4 +""" +Test 1 2 3 +""" + class alternativeCategories(Range): """ There are 16 default categories, but there are also 16 alternative categories. - These alternative categories can replace the default categories. + These alternative categories can be randomly selected to replace the default categories. They are a little strange, but can give a fun new experience. In the game, you can hover over categories to check what they do. How many alternative categories would you like to see in your game? @@ -90,83 +94,64 @@ class alternativeCategories(Range): range_end = 16 default = 0 + class chanceOfDice(Range): """ - The itempool is always filled in such a way, that you can get to a score of 1000. - Extra items are shuffled in the itempool that will help you on your quest. + The item pool is always filled in such a way that you can reach a score of 1000. + Extra progressive items are added that will help you on your quest. + You can set the weight for each extra progressive item in the following options. - The higher this chance compared to the others, the more Dice (or Dice Fragments if selected) are added. - And of course, more dice = more points! + Of course, more dice = more points! """ - display_name = "Chance of adding Dice" + display_name = "Weight of adding Dice" range_start = 0 range_end = 100 default = 5 class chanceOfRoll(Range): """ - The itempool is always filled in such a way, that you can get to a score of 1000. - Extra items are shuffled in the itempool that will help you on your quest. - - The higher this chance compared to the others, the more Rolls (or Roll Fragments if selected) are added. - And with more rolls, you'll be able to reach higher scores. + With more rolls, you'll be able to reach higher scores. """ - display_name = "Chance of adding Roll" + display_name = "Weight of adding Roll" range_start = 0 range_end = 100 default = 20 class chanceOfFixedScoreMultiplier(Range): """ - The itempool is always filled in such a way, that you can get to a score of 1000. - Extra items are shuffled in the itempool that will help you on your quest. - - The higher this chance compared to the others, the more Fixed Score Multipliers are added. Getting a Fixed Score Multiplier will boost all future scores by 10%. """ - display_name = "Chance of adding Fixed Score Multiplier" + display_name = "Weight of adding Fixed Score Multiplier" range_start = 0 range_end = 100 default = 30 class chanceOfStepScoreMultiplier(Range): """ - The itempool is always filled in such a way, that you can get to a score of 1000. - Extra items are shuffled in the itempool that will help you on your quest. - - The higher this chance compared to the others, the more Step Score Multipliers are added. - The Step Score Multiplier boosts your multiplier after every roll by 1%, and resets on reset. - So, keep high scoring categories for last to get the most of them. + The Step Score Multiplier boosts your multiplier after every roll by 1%, and resets on sheet reset. + So, keep high scoring categories for later to get the most of them. By default, this item is not included. It is fun however, you just need to know the above strategy. """ - display_name = "Chance of adding Step Score Multiplier" + display_name = "Weight of adding Step Score Multiplier" range_start = 0 range_end = 100 default = 0 class chanceOfDoubleCategory(Range): """ - The itempool is always filled in such a way, that you can get to a score of 1000. - Extra items are shuffled in the itempool that will help you on your quest. - - The higher this chance compared to the others, the more frequently categories will appear multiple times. - Getting a category for the second time, gives a x2 multiplier for that category. - And getting the category again will double it again! + This option allows categories to appear multiple times. + Each time you get a category after the first, its score value gets doubled. """ - display_name = "Chance of adding Double Category" + display_name = "Weight of adding Category copy" range_start = 0 range_end = 100 default = 50 class chanceOfPoints(Range): """ - The itempool is always filled in such a way, that you can get to a score of 1000. - Extra items are shuffled in the itempool that will help you on your quest. - - The higher this chance compared to the others, the more points are added into the pool. - And getting points gives you... points. You can get 1 point, 10 points, and even 100 points. + Getting points gives you... points. You can get 1 point, 10 points, and even 100 points. """ - display_name = "Chance of adding Points" + display_name = "Weight of adding Points" range_start = 0 range_end = 100 default = 20 @@ -174,7 +159,7 @@ class chanceOfPoints(Range): class pointsSize(Choice): """ If you choose to add points to the item pool, do you prefer many small points, - a few larger points, or a mix of both? + medium size, a few larger points, or a mix of them? """ display_name = "Size of points" option_small = 1 @@ -185,8 +170,8 @@ class pointsSize(Choice): class minimizeExtraItems(Choice): """ - Besides necessary items, Yacht Dice needs extra items (see below) in the item pool to ensure success in generation. - It is possible however to decrease the number of extra items, + Besides necessary items, Yacht Dice has extra items in the item pool. + It is possible however to decrease the number of extra items by putting categories Fives, Sixes and Pair early into the playthrough. Would you like to do this? """ display_name = "Minimize extra items" @@ -224,7 +209,7 @@ class addStoryChapters(Choice): option_all_of_it = 1 option_sure = 2 option_never = 3 - default = 2 + default = 3 class whichStory(Choice): """ @@ -257,12 +242,12 @@ class YachtDiceOptions(PerGameCommonOptions): alternative_categories: alternativeCategories #the following options determine what extra items are shuffled into the pool: - chance_of_dice: chanceOfDice - chance_of_roll: chanceOfRoll - chance_of_fixed_score_multiplier: chanceOfFixedScoreMultiplier - chance_of_step_score_multiplier: chanceOfStepScoreMultiplier - chance_of_double_category: chanceOfDoubleCategory - chance_of_points: chanceOfPoints + weight_of_dice: chanceOfDice + weight_of_roll: chanceOfRoll + weight_of_fixed_score_multiplier: chanceOfFixedScoreMultiplier + weight_of_step_score_multiplier: chanceOfStepScoreMultiplier + weight_of_double_category: chanceOfDoubleCategory + weight_of_points: chanceOfPoints points_size: pointsSize minimize_extra_items: minimizeExtraItems diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 49fff40c3b94..d4b0612938b1 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -144,28 +144,22 @@ def generate_early(self): self.goal_score = min(self.max_score, self.options.score_for_goal.value) weights = [ - self.options.chance_of_dice.value, - self.options.chance_of_roll.value, - self.options.chance_of_fixed_score_multiplier.value, - self.options.chance_of_step_score_multiplier.value, - self.options.chance_of_double_category.value, - self.options.chance_of_points.value + self.options.weight_of_dice.value, + self.options.weight_of_roll.value, + self.options.weight_of_fixed_score_multiplier.value, + self.options.weight_of_step_score_multiplier.value, + self.options.weight_of_double_category.value, + self.options.weight_of_points.value ] - if self.options.chance_of_dice.value > 0: - if amDiceF > 1: - self.itempool += ["Dice Fragment"] * (amDiceF - 1) - if self.options.chance_of_roll.value > 0: - if amRollsF > 1: - self.itempool += ["Roll Fragment"] * (amRollsF - 1) - - - - while diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: - print("Max score currently ") - print(diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options)) - print(self.itempool) + if weights[0] > 0 and amDiceF > 1: + self.itempool += ["Dice Fragment"] * (amDiceF - 1) + if weights[1] > 0 and amRollsF > 1: + self.itempool += ["Roll Fragment"] * (amRollsF - 1) + extraPointsAdded = 0 + + while diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: allitems = self.itempool + self.precollected dice_fragments_in_pool = allitems.count("Dice") * amDiceF + allitems.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * amDiceF: @@ -187,13 +181,13 @@ def generate_early(self): self.itempool += ["Dice"] else: self.itempool += ["Dice Fragment"] - weights[0] /= 1.1 + weights[0] /= (1+amDiceF) elif which_item_to_add == 1: if amRollsF == 1: self.itempool += ["Roll"] else: self.itempool += ["Roll Fragment"] - weights[1] /= 1.1 + weights[1] /= (1+amRollsF) elif which_item_to_add == 2: self.itempool += ["Fixed Score Multiplier"] weights[2] /= 1.1 @@ -214,16 +208,25 @@ def generate_early(self): probs = [0,0.3,0.7] if score_dist == 4: probs = [0.3,0.4,0.3] - self.itempool += self.multiworld.random.choices(["1 Point", "10 Points", "100 Points"], - weights = probs) - weights[5] /= 1.1 + c = self.multiworld.random.choices([0,1,2], weights = probs)[0] + if c == 0: + self.itempool += ["1 Point"] + extraPointsAdded += 1 + weights[5] /= 1.01 + elif c==1: + self.itempool += ["10 Points"] + extraPointsAdded += 10 + weights[5] /= 1.1 + elif c==2: + self.itempool += ["100 Points"] + extraPointsAdded += 100 + weights[5] /= 2 + else: + raise Exception("Unknown point value (Yacht Dice)") + if extraPointsAdded > 300: + weights[5] = 0 else: raise Exception("Invalid index when adding new items in Yacht Dice") - - print("Max score after adding ") - print(self.itempool) - print(diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options)) - print() #count the number of locations in the game. extra_plando_items is set in generate_early #and counts number of plando items *not* from pool. @@ -237,7 +240,7 @@ def generate_early(self): #first, we flood the entire pool with extra points (useful), if that setting is chosen. if self.options.add_extra_points.value == 1: #all of the extra points already_items = len(self.itempool) + self.extra_plando_items + 1 - self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 100) + self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 100) #second, we flood the entire pool with story chapters (filler), if that setting is chosen. if self.options.add_story_chapters.value == 1: #all of the story chapters @@ -249,7 +252,7 @@ def generate_early(self): #add some extra points (useful) if self.options.add_extra_points.value == 2: #add extra points if wanted already_items = len(self.itempool) + self.extra_plando_items + 1 - self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) + self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) #add some story chapters (filler) if self.options.add_story_chapters.value == 2: #add extra points if wanted @@ -260,7 +263,7 @@ def generate_early(self): #add some extra points if there is still room if self.options.add_extra_points.value == 2: already_items = len(self.itempool) + self.extra_plando_items + 1 - self.itempool += ["Extra Point"] * min(self.number_of_locations - already_items, 10) + self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) #add some encouragements filler-items if there is still room already_items = len(self.itempool) + self.extra_plando_items + 1 @@ -363,12 +366,12 @@ def fill_slot_data(self): "number_of_dice_fragments_per_dice", "number_of_roll_fragments_per_roll", "alternative_categories", - "chance_of_dice", - "chance_of_roll", - "chance_of_fixed_score_multiplier", - "chance_of_step_score_multiplier", - "chance_of_double_category", - "chance_of_points", + "weight_of_dice", + "weight_of_roll", + "weight_of_fixed_score_multiplier", + "weight_of_step_score_multiplier", + "weight_of_double_category", + "weight_of_points", "points_size", "minimize_extra_items", "add_extra_points", @@ -381,7 +384,6 @@ def fill_slot_data(self): slot_data["goal_score"] = self.goal_score slot_data["last_check_score"] = self.max_score slot_data["ap_world_version"] = self.ap_world_version - print(1/0) return slot_data def create_item(self, name: str) -> Item: From 65e8703b3389fda52e0f671a56649e97334241eb Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 31 May 2024 02:08:17 +0200 Subject: [PATCH 023/127] no changes, just whitespaces --- worlds/yachtdice/Options.py | 4 ++-- worlds/yachtdice/__init__.py | 2 +- 2 files changed, 3 insertions(+), 3 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index a543af946180..2b7b1b34819c 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -15,7 +15,7 @@ class gameDifficulty(Choice): option_hard = 3 option_extreme = 4 default = 2 - + class scoreForLastCheck(Range): """ The items in the item pool will always allow you to reach a score of 1000. @@ -26,7 +26,7 @@ class scoreForLastCheck(Range): range_start = 500 range_end = 1000 default = 1000 - + class scoreForGoal(Range): """ This setting determines what score you need to reach to finish the game. diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index d4b0612938b1..0a69c2703bda 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -159,7 +159,7 @@ def generate_early(self): extraPointsAdded = 0 - while diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: + while diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: allitems = self.itempool + self.precollected dice_fragments_in_pool = allitems.count("Dice") * amDiceF + allitems.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * amDiceF: From 979f30f7f14d9ba55af46cbbcff52e0ccb98acc8 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 31 May 2024 21:37:20 +0200 Subject: [PATCH 024/127] changed how logic works Now you put an array of mults and the cpu gets a couple of tries --- .gitignore | 1 + worlds/yachtdice/Rules.py | 30 ++++++++++++++++-------------- 2 files changed, 17 insertions(+), 14 deletions(-) diff --git a/.gitignore b/.gitignore index 1e2487153aea..5d50a0cab7aa 100644 --- a/.gitignore +++ b/.gitignore @@ -887,3 +887,4 @@ worlds/witness/data/__pycache__/utils.cpython-311.pyc *.pyc worlds/yachtdice.apworld GenerateManyTimes.py +profiler_stats.txt diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 299217bb3679..75d7611283c8 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -2,6 +2,7 @@ from BaseClasses import MultiWorld from .YachtWeights import yacht_weights import math +from collections import defaultdict category_mappings = { "Category Ones": "Ones", @@ -127,26 +128,24 @@ def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, di #sort categories because for the step multiplier, you will want low-scorig categories first categories.sort(key=lambda category: category.meanScore(nbDice, nbRolls)) - #function to add two discrete distribution. - def add_distributions(dist1, dist2, mult): - combined_dist = {} + + + def add_distributions(dist1, dist2): + combined_dist = defaultdict(float) for val1, prob1 in dist1.items(): for val2, prob2 in dist2.items(): - if int(val1 + val2 * mult) in combined_dist.keys(): - combined_dist[int(val1 + val2 * mult)] += prob1 * prob2 - else: - combined_dist[int(val1 + val2 * mult)] = prob1 * prob2 - return combined_dist + combined_dist[int(val1 + val2)] += prob1 * prob2 + return dict(combined_dist) #function to take the maximum of 'times' i.i.d. dist1. - def max_dist(dist1, times): + def max_dist(dist1, mults): new_dist = {0: 1} - for _ in range(times): + for mult in mults: c = new_dist.copy() new_dist = {} for val1, prob1 in c.items(): for val2, prob2 in dist1.items(): - new_val = max(val1, val2) + new_val = max(val1, val2 * mult) new_prob = prob1 * prob2 # Update the probability for the new value @@ -187,11 +186,14 @@ def percentile_distribution(dist, percentile): for key in dist.keys(): dist[key] /= 100000 + cat_mult = 2 ** (categories[j].quantity-1) + max_tries = j // diffDivide + mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0,j - max_tries), j+1)] + #for higher difficulties, the simulation gets multiple tries for categories. - dist = max_dist(dist, max(1, len(categories) // diffDivide)) + dist = max_dist(dist, mults) - cur_mult = fixed_mult + step_mult * j - total_dist = add_distributions(total_dist, dist, (1 + cur_mult) * ( 2 ** (categories[j].quantity-1) )) + total_dist = add_distributions(total_dist, dist) #save result into the cache, then return it yachtdice_cache[tup] = math.floor(percentile_distribution(total_dist, percReturn)) From b51dcfbda21d69898009c24a983f44e7329897aa Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 1 Jun 2024 02:02:55 +0200 Subject: [PATCH 025/127] Changed logic, tweaked a bit too --- worlds/yachtdice/Options.py | 10 +++++----- worlds/yachtdice/Rules.py | 19 ++++++++++--------- worlds/yachtdice/__init__.py | 8 ++++---- 3 files changed, 19 insertions(+), 18 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 2b7b1b34819c..8d76ba4a7401 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -182,14 +182,14 @@ class minimizeExtraItems(Choice): class addExtraPoints(Choice): """ Yacht Dice typically has space for extra items. - If there is space, would you like extra points shuffled in the item pool? + If there is space, would you like bonus points shuffled in the item pool? They make the game a little bit easier, as they are not considered in the logic. all_of_it: fill all locations with extra points - sure: put some extra points in - never: don't put any extra points + sure: put some bonus points in + never: don't put any bonus points """ - display_name = "Extra points in the pool" + display_name = "Extra bonus in the pool" option_all_of_it = 1 option_sure = 2 option_never = 3 @@ -251,6 +251,6 @@ class YachtDiceOptions(PerGameCommonOptions): points_size: pointsSize minimize_extra_items: minimizeExtraItems - add_extra_points: addExtraPoints + add_bonus_points: addExtraPoints add_story_chapters: addStoryChapters which_story: whichStory \ No newline at end of file diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 75d7611283c8..896c260a8d5f 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -2,7 +2,6 @@ from BaseClasses import MultiWorld from .YachtWeights import yacht_weights import math -from collections import defaultdict category_mappings = { "Category Ones": "Ones", @@ -128,14 +127,16 @@ def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, di #sort categories because for the step multiplier, you will want low-scorig categories first categories.sort(key=lambda category: category.meanScore(nbDice, nbRolls)) - - + #function to add two discrete distribution. def add_distributions(dist1, dist2): - combined_dist = defaultdict(float) + combined_dist = {} for val1, prob1 in dist1.items(): for val2, prob2 in dist2.items(): - combined_dist[int(val1 + val2)] += prob1 * prob2 - return dict(combined_dist) + if int(val1 + val2) in combined_dist.keys(): + combined_dist[int(val1 + val2)] += prob1 * prob2 + else: + combined_dist[int(val1 + val2)] = prob1 * prob2 + return combined_dist #function to take the maximum of 'times' i.i.d. dist1. def max_dist(dist1, mults): @@ -145,7 +146,7 @@ def max_dist(dist1, mults): new_dist = {} for val1, prob1 in c.items(): for val2, prob2 in dist1.items(): - new_val = max(val1, val2 * mult) + new_val = int(max(val1, val2 * mult)) new_prob = prob1 * prob2 # Update the probability for the new value @@ -172,8 +173,8 @@ def percentile_distribution(dist, percentile): return prev_val if prev_val is not None else sorted_values[0] - percReturn = [0, 0.4, 0.4, 0.45, 0.45, 0.45][diff] - diffDivide = [0, 9, 8, 5, 4, 3][diff] + percReturn = [0, 0.30, 0.45, 0.53, 0.7, 0.9][diff] + diffDivide = [0, 9, 8, 4, 2, 1][diff] #calculate total distribution total_dist = {0: 1} diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 0a69c2703bda..e6e382ddbd52 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -238,7 +238,7 @@ def generate_early(self): # making sure not to exceed the number of locations. #first, we flood the entire pool with extra points (useful), if that setting is chosen. - if self.options.add_extra_points.value == 1: #all of the extra points + if self.options.add_bonus_points.value == 1: #all of the extra points already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 100) @@ -250,7 +250,7 @@ def generate_early(self): self.itempool += ["Story Chapter"] * number_of_items #add some extra points (useful) - if self.options.add_extra_points.value == 2: #add extra points if wanted + if self.options.add_bonus_points.value == 2: #add extra points if wanted already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) @@ -261,7 +261,7 @@ def generate_early(self): self.itempool += ["Story Chapter"] * 10 #add some extra points if there is still room - if self.options.add_extra_points.value == 2: + if self.options.add_bonus_points.value == 2: already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) @@ -374,7 +374,7 @@ def fill_slot_data(self): "weight_of_points", "points_size", "minimize_extra_items", - "add_extra_points", + "add_bonus_points", "add_story_chapters", "which_story" ) From 67fb4fb81ed6785d6b4673f2ba97bce1db950cb6 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 1 Jun 2024 16:54:39 +0200 Subject: [PATCH 026/127] Preparation for 2.0 --- worlds/yachtdice/Rules.py | 7 ++++--- worlds/yachtdice/__init__.py | 26 +++++++++++++++++--------- 2 files changed, 21 insertions(+), 12 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 896c260a8d5f..095d9c965fb4 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -173,8 +173,9 @@ def percentile_distribution(dist, percentile): return prev_val if prev_val is not None else sorted_values[0] - percReturn = [0, 0.30, 0.45, 0.53, 0.7, 0.9][diff] - diffDivide = [0, 9, 8, 4, 2, 1][diff] + percReturn = [[0], [0.1, 0.5], [0.3, 0.7], [0.5, 0.85], [0.85, 0.95]][diff] + diffDivide = [0, 9, 7, 3, 1][diff] + #calculate total distribution total_dist = {0: 1} @@ -197,7 +198,7 @@ def percentile_distribution(dist, percentile): total_dist = add_distributions(total_dist, dist) #save result into the cache, then return it - yachtdice_cache[tup] = math.floor(percentile_distribution(total_dist, percReturn)) + yachtdice_cache[tup] = math.floor(sum([percentile_distribution(total_dist, perc) for perc in percReturn]) / len(percReturn)) return yachtdice_cache[tup] # Returns the feasible score that one can reach with the current state, options and difficulty. diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index e6e382ddbd52..d05f4dc8719d 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -38,7 +38,7 @@ class YachtDiceWorld(World): item_name_groups = ITEM_GROUPS - ap_world_version = "1.2" + ap_world_version = "2.0" def _get_yachtdice_data(self): return { @@ -49,7 +49,7 @@ def _get_yachtdice_data(self): "race": self.multiworld.is_race, } - def generate_early(self): + def generate_early(self): self.itempool = [] self.precollected = [] @@ -152,11 +152,16 @@ def generate_early(self): self.options.weight_of_points.value ] + #if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice if weights[0] > 0 and amDiceF > 1: self.itempool += ["Dice Fragment"] * (amDiceF - 1) if weights[1] > 0 and amRollsF > 1: self.itempool += ["Roll Fragment"] * (amRollsF - 1) + #calibrate the weights, since the impact of each of the items is different + weights[0] = weights[0] / 5 * amDiceF + weights[1] = weights[1] / 5 * amRollsF + extraPointsAdded = 0 while diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: @@ -164,9 +169,12 @@ def generate_early(self): dice_fragments_in_pool = allitems.count("Dice") * amDiceF + allitems.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * amDiceF: weights[0] = 0 #can't have 9 dice - roll_fragments_in_pool = allitems.count("Roll") * amDiceF + allitems.count("Roll Fragment") + roll_fragments_in_pool = allitems.count("Roll") * amRollsF + allitems.count("Roll Fragment") if roll_fragments_in_pool + 1 >= 6 * amRollsF: weights[1] = 0 # can't have 6 rolls + + if extraPointsAdded > 300: + weights[5] = 0 #if all weights are zero, allow to add fixed score multiplier, double category, points. if sum(weights) == 0: @@ -181,21 +189,23 @@ def generate_early(self): self.itempool += ["Dice"] else: self.itempool += ["Dice Fragment"] - weights[0] /= (1+amDiceF) + weights[0] /= (1 + amDiceF) elif which_item_to_add == 1: if amRollsF == 1: self.itempool += ["Roll"] else: self.itempool += ["Roll Fragment"] - weights[1] /= (1+amRollsF) + weights[1] /= (1 + amRollsF) elif which_item_to_add == 2: self.itempool += ["Fixed Score Multiplier"] - weights[2] /= 1.1 + weights[2] /= 1.05 elif which_item_to_add == 3: self.itempool += ["Step Score Multiplier"] weights[3] /= 1.1 elif which_item_to_add == 4: - self.itempool += self.multiworld.random.choices(possible_categories) + #increase chances of "free-score categories" + cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] + self.itempool += self.multiworld.random.choices(possible_categories, weights = cat_weights) weights[4] /= 1.1 elif which_item_to_add == 5: score_dist = self.options.points_size.value @@ -223,8 +233,6 @@ def generate_early(self): weights[5] /= 2 else: raise Exception("Unknown point value (Yacht Dice)") - if extraPointsAdded > 300: - weights[5] = 0 else: raise Exception("Invalid index when adding new items in Yacht Dice") From c6873688d2ae9d7477dfbebb48c09318ece8a353 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sun, 2 Jun 2024 00:03:25 +0200 Subject: [PATCH 027/127] logic tweak --- worlds/yachtdice/Rules.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 095d9c965fb4..3476688d66b5 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -173,8 +173,8 @@ def percentile_distribution(dist, percentile): return prev_val if prev_val is not None else sorted_values[0] - percReturn = [[0], [0.1, 0.5], [0.3, 0.7], [0.5, 0.85], [0.85, 0.95]][diff] - diffDivide = [0, 9, 7, 3, 1][diff] + percReturn = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] + diffDivide = [0, 9, 7, 3, 2][diff] #calculate total distribution From 975fd0444520d05a8e8cc9a6c986bf59db0cc00d Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 5 Jun 2024 16:58:18 +0200 Subject: [PATCH 028/127] Logic for alt categories properly now --- worlds/yachtdice/Rules.py | 33 ++++++++++++++++---------------- worlds/yachtdice/YachtWeights.py | 2 +- worlds/yachtdice/__init__.py | 2 +- 3 files changed, 19 insertions(+), 18 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 3476688d66b5..5a6c13e5a4f2 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -20,22 +20,23 @@ "Category Large Straight": "LargeStraight", "Category Full House": "FullHouse", "Category Yacht": "Yacht", - "Category Distincts": "Ones", - "Category Two times Ones": "Twos", - "Category Half of Sixes": "Threes", - "Category Twos and Threes": "Sixes", - "Category Sum of Odds": "Fives", - "Category Sum of Evens": "Sixes", - "Category Double Threes and Fours": "Choice", - "Category Quadruple Ones and Twos": "Choice", - "Category Micro Straight": "Pair", - "Category Three Odds": "ThreeOfAKind", - "Category 1-2-1 Consecutive": "FourOfAKind", - "Category Three Distinct Dice": "TinyStraight", - "Category Two Pair": "SmallStraight", - "Category 2-1-2 Consecutive": "LargeStraight", - "Category Five Distinct Dice": "FullHouse", - "Category 4&5 Full House": "Yacht" + + "Category Distincts": "Distincts", + "Category Two times Ones": "Twos", #same weights as twos category + "Category Half of Sixes": "Threes", #same weights as threes category + "Category Twos and Threes": "TwosAndThrees", + "Category Sum of Odds": "SumOfOdds", + "Category Sum of Evens": "SumOfEvens", + "Category Double Threes and Fours": "DoubleThreesAndFours", + "Category Quadruple Ones and Twos": "QuadrupleOnesAndTwos", + "Category Micro Straight": "MicroStraight", + "Category Three Odds": "ThreeOdds", + "Category 1-2-1 Consecutive": "OneTwoOneConsecutive", + "Category Three Distinct Dice": "ThreeDistinctDice", + "Category Two Pair": "TwoPair", + "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", + "Category Five Distinct Dice": "FiveDistinctDice", + "Category 4&5 Full House": "FourAndFiveFullHouse" } #This class adds logic to the apworld. diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index b9939d8e11a8..625d4715a75b 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -5,4 +5,4 @@ #example: ("Choice", 2, 2): {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} #this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. #13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("Twos", 0, 0): {0: 100000}, ("Twos", 0, 1): {0: 100000}, ("Twos", 0, 2): {0: 100000}, ("Twos", 0, 3): {0: 100000}, ("Twos", 0, 4): {0: 100000}, ("Twos", 0, 5): {0: 100000}, ("Twos", 0, 6): {0: 100000}, ("Twos", 0, 7): {0: 100000}, ("Twos", 0, 8): {0: 100000}, ("Twos", 1, 0): {0: 100000}, ("Twos", 1, 1): {0: 83475, 2: 16525}, ("Twos", 1, 2): {0: 69690, 2: 30310}, ("Twos", 1, 3): {0: 57818, 2: 42182}, ("Twos", 1, 4): {0: 48418, 2: 51582}, ("Twos", 1, 5): {2: 59699, 0: 40301}, ("Twos", 1, 6): {2: 66442, 0: 33558}, ("Twos", 1, 7): {2: 71818, 0: 28182}, ("Twos", 1, 8): {0: 23406, 2: 76594}, ("Twos", 2, 0): {0: 100000}, ("Twos", 2, 1): {0: 69724, 2: 27485, 4: 2791}, ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, ("Twos", 2, 4): {2: 49957, 4: 26907, 0: 23136}, ("Twos", 2, 5): {4: 35654, 2: 48200, 0: 16146}, ("Twos", 2, 6): {4: 44420, 2: 44497, 0: 11083}, ("Twos", 2, 7): {4: 51995, 2: 40343, 0: 7662}, ("Twos", 2, 8): {4: 59120, 2: 35526, 0: 5354}, ("Twos", 3, 0): {0: 100000}, ("Twos", 3, 1): {2: 34522, 0: 58021, 4: 6995, 6: 462}, ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 19358, 6: 2833}, ("Twos", 3, 3): {2: 42372, 4: 30748, 0: 19375, 6: 7505}, ("Twos", 3, 4): {6: 13998, 4: 38569, 2: 36435, 0: 10998}, ("Twos", 3, 5): {4: 43283, 2: 28838, 6: 21360, 0: 6519}, ("Twos", 3, 6): {6: 29650, 4: 44233, 2: 22498, 0: 3619}, ("Twos", 3, 7): {6: 37142, 2: 16979, 4: 43684, 0: 2195}, ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, ("Twos", 4, 0): {0: 100000}, ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, ("Twos", 5, 0): {0: 100000}, ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 2658}, ("Twos", 5, 5): {4: 23643, 8: 25853, 10: 7495, 6: 33993, 0: 1032, 2: 7984}, ("Twos", 5, 6): {6: 32774, 2: 4152, 8: 32900, 10: 13183, 0: 450, 4: 16541}, ("Twos", 5, 7): {6: 29481, 8: 37636, 10: 19256, 4: 11231, 2: 2226, 0: 170}, ("Twos", 5, 8): {10: 26467, 8: 40798, 6: 23993, 4: 7571, 2: 1108, 0: 63}, ("Twos", 6, 0): {0: 100000}, ("Twos", 6, 1): {0: 33502, 4: 19717, 2: 40413, 6: 5481, 8: 815, 10: 68, 12: 4}, ("Twos", 6, 2): {2: 29638, 8: 6339, 4: 32701, 0: 11210, 6: 18988, 10: 1046, 12: 78}, ("Twos", 6, 3): {6: 29102, 2: 16459, 8: 15825, 4: 29795, 0: 3673, 10: 4581, 12: 565}, ("Twos", 6, 4): {2: 8048, 8: 25066, 4: 21977, 6: 31053, 10: 10654, 12: 1959, 0: 1243}, ("Twos", 6, 5): {10: 18355, 4: 13949, 6: 28142, 8: 30723, 2: 3753, 12: 4637, 0: 441}, ("Twos", 6, 6): {10: 26213, 6: 22222, 4: 8455, 8: 32692, 12: 8618, 2: 1679, 0: 121}, ("Twos", 6, 7): {10: 32532, 8: 31410, 6: 16142, 12: 14270, 4: 4871, 2: 728, 0: 47}, ("Twos", 6, 8): {12: 20612, 6: 11432, 10: 37237, 8: 27864, 4: 2544, 2: 299, 0: 12}, ("Twos", 7, 0): {0: 100000}, ("Twos", 7, 1): {2: 39060, 0: 27683, 8: 1580, 4: 23574, 6: 7899, 10: 192, 12: 12}, ("Twos", 7, 2): {2: 24031, 6: 23095, 4: 31764, 0: 7824, 8: 10154, 10: 2733, 12: 376, 14: 23}, ("Twos", 7, 3): {2: 11019, 6: 29599, 10: 9338, 8: 21250, 0: 2148, 4: 24197, 12: 2233, 14: 216}, ("Twos", 7, 4): {10: 18080, 6: 26395, 4: 14571, 8: 28409, 2: 4465, 12: 6519, 14: 997, 0: 564}, ("Twos", 7, 5): {8: 29039, 2: 1738, 10: 26129, 6: 19287, 4: 7911, 14: 2798, 12: 12923, 0: 175}, ("Twos", 7, 6): {8: 25752, 10: 30413, 6: 12897, 14: 5951, 12: 20324, 4: 3961, 0: 54, 2: 648}, ("Twos", 7, 7): {12: 27347, 14: 10079, 10: 32054, 6: 8007, 8: 20334, 4: 1926, 2: 240, 0: 13}, ("Twos", 7, 8): {8: 15233, 10: 30248, 14: 15699, 12: 33276, 6: 4602, 4: 861, 2: 76, 0: 5}, ("Twos", 8, 0): {0: 100000}, ("Twos", 8, 1): {0: 23378, 6: 10451, 2: 37157, 4: 26082, 8: 2497, 10: 391, 12: 44}, ("Twos", 8, 2): {8: 14198, 4: 29216, 12: 1104, 6: 25677, 0: 5420, 2: 19164, 10: 5089, 14: 127, 16: 5}, ("Twos", 8, 3): {4: 18793, 12: 5201, 6: 27054, 10: 14462, 8: 24712, 2: 7289, 14: 1109, 0: 1271, 16: 109}, ("Twos", 8, 4): {8: 27389, 12: 12609, 10: 23232, 4: 9310, 6: 20242, 14: 3815, 16: 514, 2: 2604, 0: 285}, ("Twos", 8, 5): {10: 27882, 12: 20768, 16: 1604, 6: 12669, 8: 23322, 14: 8692, 4: 4184, 0: 58, 2: 821}, ("Twos", 8, 6): {8: 17148, 12: 27048, 10: 27398, 14: 15513, 6: 6992, 16: 3860, 2: 251, 4: 1774, 0: 16}, ("Twos", 8, 7): {8: 11479, 10: 23675, 6: 3547, 14: 22454, 12: 30829, 16: 7275, 4: 667, 2: 71, 0: 3}, ("Twos", 8, 8): {10: 18697, 14: 28983, 12: 31310, 16: 11977, 4: 286, 8: 6980, 6: 1746, 2: 21}, ("Threes", 0, 0): {0: 100000}, ("Threes", 0, 1): {0: 100000}, ("Threes", 0, 2): {0: 100000}, ("Threes", 0, 3): {0: 100000}, ("Threes", 0, 4): {0: 100000}, ("Threes", 0, 5): {0: 100000}, ("Threes", 0, 6): {0: 100000}, ("Threes", 0, 7): {0: 100000}, ("Threes", 0, 8): {0: 100000}, ("Threes", 1, 0): {0: 100000}, ("Threes", 1, 1): {0: 83343, 3: 16657}, ("Threes", 1, 2): {0: 69569, 3: 30431}, ("Threes", 1, 3): {0: 57872, 3: 42128}, ("Threes", 1, 4): {3: 51919, 0: 48081}, ("Threes", 1, 5): {0: 40271, 3: 59729}, ("Threes", 1, 6): {3: 66799, 0: 33201}, ("Threes", 1, 7): {3: 72097, 0: 27903}, ("Threes", 1, 8): {3: 76760, 0: 23240}, ("Threes", 2, 0): {0: 100000}, ("Threes", 2, 1): {0: 69419, 6: 2783, 3: 27798}, ("Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, ("Threes", 2, 3): {6: 17775, 0: 33376, 3: 48849}, ("Threes", 2, 4): {3: 49810, 6: 26914, 0: 23276}, ("Threes", 2, 5): {6: 36190, 3: 47718, 0: 16092}, ("Threes", 2, 6): {6: 44253, 3: 44515, 0: 11232}, ("Threes", 2, 7): {6: 51952, 3: 40459, 0: 7589}, ("Threes", 2, 8): {3: 35804, 6: 58749, 0: 5447}, ("Threes", 3, 0): {0: 100000}, ("Threes", 3, 1): {0: 57964, 6: 6868, 3: 34701, 9: 467}, ("Threes", 3, 2): {3: 44263, 0: 33637, 6: 19213, 9: 2887}, ("Threes", 3, 3): {3: 42382, 6: 30676, 0: 19520, 9: 7422}, ("Threes", 3, 4): {3: 35772, 6: 39042, 0: 11265, 9: 13921}, ("Threes", 3, 5): {3: 28916, 9: 21404, 6: 43261, 0: 6419}, ("Threes", 3, 6): {3: 22496, 9: 29306, 6: 44388, 0: 3810}, ("Threes", 3, 7): {6: 43720, 9: 37231, 3: 16875, 0: 2174}, ("Threes", 3, 8): {9: 45070, 6: 41222, 3: 12471, 0: 1237}, ("Threes", 4, 0): {0: 100000}, ("Threes", 4, 1): {3: 38786, 0: 48121, 9: 1483, 6: 11540, 12: 70}, ("Threes", 4, 2): {3: 40989, 0: 23296, 6: 26998, 9: 7851, 12: 866}, ("Threes", 4, 3): {3: 32653, 12: 3183, 6: 35710, 9: 17221, 0: 11233}, ("Threes", 4, 4): {9: 26734, 6: 37468, 3: 23270, 12: 7065, 0: 5463}, ("Threes", 4, 5): {6: 34539, 9: 34635, 3: 15496, 12: 12639, 0: 2691}, ("Threes", 4, 6): {12: 19732, 9: 39190, 6: 29811, 3: 10046, 0: 1221}, ("Threes", 4, 7): {0: 599, 3: 6322, 6: 24420, 12: 27045, 9: 41614}, ("Threes", 4, 8): {12: 34736, 9: 42236, 6: 18843, 3: 3876, 0: 309}, ("Threes", 5, 0): {0: 100000}, ("Threes", 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3046, 12: 336, 15: 19}, ("Threes", 5, 2): {3: 35494, 0: 16197, 6: 30937, 9: 13946, 12: 3139, 15: 287}, ("Threes", 5, 3): {3: 23394, 6: 34432, 9: 25239, 15: 1325, 12: 9027, 0: 6583}, ("Threes", 5, 4): {6: 30134, 9: 32371, 12: 17169, 0: 2636, 3: 14072, 15: 3618}, ("Threes", 5, 5): {6: 23010, 3: 7804, 9: 34811, 12: 25702, 15: 7598, 0: 1075}, ("Threes", 5, 6): {9: 32809, 12: 32892, 6: 16654, 3: 4234, 15: 12993, 0: 418}, ("Threes", 5, 7): {6: 11416, 12: 37604, 15: 19543, 9: 29072, 3: 2203, 0: 162}, ("Threes", 5, 8): {9: 24603, 15: 26464, 12: 40262, 6: 7425, 3: 1175, 0: 71}, ("Threes", 6, 0): {0: 100000}, ("Threes", 6, 1): {0: 33473, 6: 20151, 3: 40175, 9: 5369, 12: 775, 15: 55, 18: 2}, ("Threes", 6, 2): {3: 29592, 9: 19287, 0: 11147, 6: 32630, 12: 6160, 15: 1102, 18: 82}, ("Threes", 6, 3): {12: 15888, 9: 29006, 3: 16528, 0: 3628, 6: 29814, 15: 4565, 18: 571}, ("Threes", 6, 4): {9: 30953, 15: 10810, 18: 1919, 6: 21987, 12: 24833, 3: 8236, 0: 1262}, ("Threes", 6, 5): {6: 13949, 9: 27798, 15: 18256, 12: 31197, 3: 3820, 18: 4564, 0: 416}, ("Threes", 6, 6): {9: 22175, 12: 32897, 15: 26264, 18: 8496, 6: 8372, 3: 1642, 0: 154}, ("Threes", 6, 7): {12: 31385, 15: 32666, 18: 14084, 9: 16346, 6: 4728, 3: 740, 0: 51}, ("Threes", 6, 8): {12: 28320, 15: 36982, 3: 297, 9: 11202, 18: 20528, 6: 2651, 0: 20}, ("Threes", 7, 0): {0: 100000}, ("Threes", 7, 1): {9: 7886, 3: 39105, 0: 27933, 6: 23338, 12: 1559, 15: 170, 21: 2, 18: 7}, ("Threes", 7, 2): {9: 23110, 6: 31832, 3: 23896, 12: 10218, 0: 7794, 15: 2739, 18: 392, 21: 19}, ("Threes", 7, 3): {3: 11098, 9: 29316, 6: 24140, 0: 2138, 12: 21386, 15: 9413, 18: 2263, 21: 246}, ("Threes", 7, 4): {9: 26233, 12: 28244, 18: 6438, 15: 18118, 3: 4648, 6: 14737, 0: 590, 21: 992}, ("Threes", 7, 5): {15: 26078, 9: 19439, 12: 28977, 18: 12957, 6: 7953, 21: 2655, 3: 1777, 0: 164}, ("Threes", 7, 6): {15: 30535, 18: 20208, 12: 25793, 9: 13025, 6: 3938, 21: 5783, 3: 664, 0: 54}, ("Threes", 7, 7): {15: 31859, 21: 10191, 9: 7941, 12: 20571, 18: 27374, 6: 1790, 3: 267, 0: 7}, ("Threes", 7, 8): {15: 30313, 18: 33133, 21: 15727, 12: 15117, 9: 4747, 6: 854, 3: 104, 0: 5}, ("Threes", 8, 0): {0: 100000}, ("Threes", 8, 1): {3: 37232, 9: 10377, 0: 23337, 6: 25968, 12: 2630, 15: 423, 18: 31, 21: 2}, ("Threes", 8, 2): {6: 29232, 3: 18930, 9: 26016, 12: 14399, 15: 4847, 0: 5310, 18: 1124, 21: 138, 24: 4}, ("Threes", 8, 3): {12: 24703, 18: 5285, 9: 27141, 6: 18754, 15: 14251, 21: 1111, 0: 1328, 3: 7328, 24: 99}, ("Threes", 8, 4): {15: 23402, 9: 20607, 12: 26898, 18: 12452, 21: 3839, 6: 9554, 3: 2428, 0: 291, 24: 529}, ("Threes", 8, 5): {18: 20616, 15: 27931, 6: 4240, 21: 8743, 12: 23248, 3: 838, 9: 12608, 24: 1709, 0: 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("LargeStraight", 5, 1): {0: 96929, 40: 3071}, ("LargeStraight", 5, 2): {0: 87056, 40: 12944}, ("LargeStraight", 5, 3): {0: 75101, 40: 24899}, ("LargeStraight", 5, 4): {0: 63617, 40: 36383}, ("LargeStraight", 5, 5): {0: 53149, 40: 46851}, ("LargeStraight", 5, 6): {0: 44321, 40: 55679}, ("LargeStraight", 5, 7): {40: 63052, 0: 36948}, ("LargeStraight", 5, 8): {0: 30661, 40: 69339}, ("LargeStraight", 6, 0): {0: 100000}, ("LargeStraight", 6, 1): {0: 90756, 40: 9244}, ("LargeStraight", 6, 2): {0: 69805, 40: 30195}, ("LargeStraight", 6, 3): {0: 49814, 40: 50186}, ("LargeStraight", 6, 4): {40: 64898, 0: 35102}, ("LargeStraight", 6, 5): {40: 75615, 0: 24385}, ("LargeStraight", 6, 6): {40: 82982, 0: 17018}, ("LargeStraight", 6, 7): {40: 88261, 0: 11739}, ("LargeStraight", 6, 8): {40: 92028, 0: 7972}, ("LargeStraight", 7, 0): {0: 100000}, ("LargeStraight", 7, 1): {0: 82840, 40: 17160}, ("LargeStraight", 7, 2): {0: 52821, 40: 47179}, ("LargeStraight", 7, 3): {40: 68652, 0: 31348}, ("LargeStraight", 7, 4): {40: 81834, 0: 18166}, ("LargeStraight", 7, 5): {40: 89310, 0: 10690}, ("LargeStraight", 7, 6): {40: 93949, 0: 6051}, ("LargeStraight", 7, 7): {40: 96383, 0: 3617}, ("LargeStraight", 7, 8): {40: 98059, 0: 1941}, ("LargeStraight", 8, 0): {0: 100000}, ("LargeStraight", 8, 1): {40: 26480, 0: 73520}, ("LargeStraight", 8, 2): {40: 60969, 0: 39031}, ("LargeStraight", 8, 3): {40: 80844, 0: 19156}, ("LargeStraight", 8, 4): {40: 90696, 0: 9304}, ("LargeStraight", 8, 5): {40: 95580, 0: 4420}, ("LargeStraight", 8, 6): {40: 97859, 0: 2141}, ("LargeStraight", 8, 7): {40: 98963, 0: 1037}, ("LargeStraight", 8, 8): {40: 99489, 0: 511}, ("FullHouse", 0, 0): {0: 100000}, ("FullHouse", 0, 1): {0: 100000}, ("FullHouse", 0, 2): {0: 100000}, ("FullHouse", 0, 3): {0: 100000}, ("FullHouse", 0, 4): {0: 100000}, ("FullHouse", 0, 5): {0: 100000}, ("FullHouse", 0, 6): {0: 100000}, ("FullHouse", 0, 7): {0: 100000}, ("FullHouse", 0, 8): {0: 100000}, ("FullHouse", 1, 0): {0: 100000}, ("FullHouse", 1, 1): {0: 100000}, ("FullHouse", 1, 2): {0: 100000}, ("FullHouse", 1, 3): {0: 100000}, ("FullHouse", 1, 4): {0: 100000}, ("FullHouse", 1, 5): {0: 100000}, ("FullHouse", 1, 6): {0: 100000}, ("FullHouse", 1, 7): {0: 100000}, ("FullHouse", 1, 8): {0: 100000}, ("FullHouse", 2, 0): {0: 100000}, ("FullHouse", 2, 1): {0: 100000}, ("FullHouse", 2, 2): {0: 100000}, ("FullHouse", 2, 3): {0: 100000}, ("FullHouse", 2, 4): {0: 100000}, ("FullHouse", 2, 5): {0: 100000}, ("FullHouse", 2, 6): {0: 100000}, ("FullHouse", 2, 7): {0: 100000}, ("FullHouse", 2, 8): {0: 100000}, ("FullHouse", 3, 0): {0: 100000}, ("FullHouse", 3, 1): {0: 100000}, ("FullHouse", 3, 2): {0: 100000}, ("FullHouse", 3, 3): {0: 100000}, ("FullHouse", 3, 4): {0: 100000}, ("FullHouse", 3, 5): {0: 100000}, ("FullHouse", 3, 6): {0: 100000}, ("FullHouse", 3, 7): {0: 100000}, ("FullHouse", 3, 8): {0: 100000}, ("FullHouse", 4, 0): {0: 100000}, ("FullHouse", 4, 1): {0: 100000}, ("FullHouse", 4, 2): {0: 100000}, ("FullHouse", 4, 3): {0: 100000}, ("FullHouse", 4, 4): {0: 100000}, ("FullHouse", 4, 5): {0: 100000}, ("FullHouse", 4, 6): {0: 100000}, ("FullHouse", 4, 7): {0: 100000}, ("FullHouse", 4, 8): {0: 100000}, ("FullHouse", 5, 0): {0: 100000}, ("FullHouse", 5, 1): {0: 96155, 25: 3845}, ("FullHouse", 5, 2): {0: 81391, 25: 18609}, ("FullHouse", 5, 3): {25: 35700, 0: 64300}, ("FullHouse", 5, 4): {25: 50331, 0: 49669}, ("FullHouse", 5, 5): {25: 61981, 0: 38019}, ("FullHouse", 5, 6): {25: 70249, 0: 29751}, ("FullHouse", 5, 7): {25: 77040, 0: 22960}, ("FullHouse", 5, 8): {25: 81350, 0: 18650}, ("FullHouse", 6, 0): {0: 100000}, ("FullHouse", 6, 1): {25: 17011, 0: 82989}, ("FullHouse", 6, 2): {0: 47153, 25: 52847}, ("FullHouse", 6, 3): {25: 75849, 0: 24151}, ("FullHouse", 6, 4): {0: 12519, 25: 87481}, ("FullHouse", 6, 5): {25: 93476, 0: 6524}, ("FullHouse", 6, 6): {0: 3606, 25: 96394}, ("FullHouse", 6, 7): {25: 98041, 0: 1959}, ("FullHouse", 6, 8): {25: 98974, 0: 1026}, ("FullHouse", 7, 0): {0: 100000}, ("FullHouse", 7, 1): {0: 60232, 25: 39768}, ("FullHouse", 7, 2): {25: 81106, 0: 18894}, ("FullHouse", 7, 3): {25: 94318, 0: 5682}, ("FullHouse", 7, 4): {25: 98294, 0: 1706}, ("FullHouse", 7, 5): {25: 99478, 0: 522}, ("FullHouse", 7, 6): {25: 99854, 0: 146}, ("FullHouse", 7, 7): {25: 99946, 0: 54}, ("FullHouse", 7, 8): {25: 99982, 0: 18}, ("FullHouse", 8, 0): {0: 100000}, ("FullHouse", 8, 1): {0: 35909, 25: 64091}, ("FullHouse", 8, 2): {25: 94288, 0: 5712}, ("FullHouse", 8, 3): {25: 99070, 0: 930}, ("FullHouse", 8, 4): {25: 99835, 0: 165}, ("FullHouse", 8, 5): {25: 99981, 0: 19}, ("FullHouse", 8, 6): {25: 99994, 0: 6}, ("FullHouse", 8, 7): {25: 100000}, ("FullHouse", 8, 8): {25: 100000}, ("Yacht", 0, 0): {0: 100000}, ("Yacht", 0, 1): {0: 100000}, ("Yacht", 0, 2): {0: 100000}, ("Yacht", 0, 3): {0: 100000}, ("Yacht", 0, 4): {0: 100000}, ("Yacht", 0, 5): {0: 100000}, ("Yacht", 0, 6): {0: 100000}, ("Yacht", 0, 7): {0: 100000}, ("Yacht", 0, 8): {0: 100000}, ("Yacht", 1, 0): {0: 100000}, ("Yacht", 1, 1): {0: 100000}, ("Yacht", 1, 2): {0: 100000}, ("Yacht", 1, 3): {0: 100000}, ("Yacht", 1, 4): {0: 100000}, ("Yacht", 1, 5): {0: 100000}, ("Yacht", 1, 6): {0: 100000}, ("Yacht", 1, 7): {0: 100000}, ("Yacht", 1, 8): {0: 100000}, ("Yacht", 2, 0): {0: 100000}, ("Yacht", 2, 1): {0: 100000}, ("Yacht", 2, 2): {0: 100000}, ("Yacht", 2, 3): {0: 100000}, ("Yacht", 2, 4): {0: 100000}, ("Yacht", 2, 5): {0: 100000}, ("Yacht", 2, 6): {0: 100000}, ("Yacht", 2, 7): {0: 100000}, ("Yacht", 2, 8): {0: 100000}, ("Yacht", 3, 0): {0: 100000}, ("Yacht", 3, 1): {0: 100000}, ("Yacht", 3, 2): {0: 100000}, ("Yacht", 3, 3): {0: 100000}, ("Yacht", 3, 4): {0: 100000}, ("Yacht", 3, 5): {0: 100000}, ("Yacht", 3, 6): {0: 100000}, ("Yacht", 3, 7): {0: 100000}, ("Yacht", 3, 8): {0: 100000}, ("Yacht", 4, 0): {0: 100000}, ("Yacht", 4, 1): {0: 100000}, ("Yacht", 4, 2): {0: 100000}, ("Yacht", 4, 3): {0: 100000}, ("Yacht", 4, 4): {0: 100000}, ("Yacht", 4, 5): {0: 100000}, ("Yacht", 4, 6): {0: 100000}, ("Yacht", 4, 7): {0: 100000}, ("Yacht", 4, 8): {0: 100000}, ("Yacht", 5, 0): {0: 100000}, ("Yacht", 5, 1): {0: 99919, 50: 81}, ("Yacht", 5, 2): {0: 98727, 50: 1273}, ("Yacht", 5, 3): {50: 4653, 0: 95347}, ("Yacht", 5, 4): {0: 89969, 50: 10031}, ("Yacht", 5, 5): {0: 83124, 50: 16876}, ("Yacht", 5, 6): {0: 75023, 50: 24977}, ("Yacht", 5, 7): {0: 67007, 50: 32993}, ("Yacht", 5, 8): {0: 58618, 50: 41382}, ("Yacht", 6, 0): {0: 100000}, ("Yacht", 6, 1): {0: 99571, 50: 429}, ("Yacht", 6, 2): {0: 94726, 50: 5274}, ("Yacht", 6, 3): {0: 84366, 50: 15634}, ("Yacht", 6, 4): {50: 29218, 0: 70782}, ("Yacht", 6, 5): {0: 56573, 50: 43427}, ("Yacht", 6, 6): {50: 55794, 0: 44206}, ("Yacht", 6, 7): {50: 66422, 0: 33578}, ("Yacht", 6, 8): {0: 25079, 50: 74921}, ("Yacht", 7, 0): {0: 100000}, ("Yacht", 7, 1): {0: 98833, 50: 1167}, ("Yacht", 7, 2): {0: 87511, 50: 12489}, ("Yacht", 7, 3): {0: 68252, 50: 31748}, ("Yacht", 7, 4): {0: 49065, 50: 50935}, ("Yacht", 7, 5): {0: 33364, 50: 66636}, ("Yacht", 7, 6): {50: 78517, 0: 21483}, ("Yacht", 7, 7): {50: 86403, 0: 13597}, ("Yacht", 7, 8): {50: 91517, 0: 8483}, ("Yacht", 8, 0): {0: 100000}, ("Yacht", 8, 1): {0: 97212, 50: 2788}, ("Yacht", 8, 2): {50: 23038, 0: 76962}, ("Yacht", 8, 3): {0: 50533, 50: 49467}, ("Yacht", 8, 4): {50: 70019, 0: 29981}, ("Yacht", 8, 5): {50: 83224, 0: 16776}, ("Yacht", 8, 6): {50: 90921, 0: 9079}, ("Yacht", 8, 7): {50: 95295, 0: 4705}, ("Yacht", 8, 8): {50: 97637, 0: 2363}, ('Distincts', 1, 1): {1: 100000}, ('Distincts', 1, 2): {1: 100000}, ('Distincts', 1, 3): {1: 100000}, ('Distincts', 1, 4): {1: 100000}, ('Distincts', 1, 5): {1: 100000}, ('Distincts', 1, 6): {1: 100000}, ('Distincts', 1, 7): {1: 100000}, ('Distincts', 1, 8): {1: 100000}, ('Distincts', 2, 1): {2: 83196, 1: 16804}, ('Distincts', 2, 2): {2: 97314, 1: 2686}, ('Distincts', 2, 3): {2: 99537, 1: 463}, ('Distincts', 2, 4): {2: 99934, 1: 66}, ('Distincts', 2, 5): {2: 99989, 1: 11}, ('Distincts', 2, 6): {2: 99999, 1: 1}, ('Distincts', 2, 7): {2: 100000}, ('Distincts', 2, 8): {2: 100000}, ('Distincts', 3, 1): {2: 41714, 3: 55526, 1: 2760}, ('Distincts', 3, 2): {2: 14936, 3: 84986, 1: 78}, ('Distincts', 3, 3): {3: 95134, 2: 4865, 1: 1}, ('Distincts', 3, 4): {3: 98341, 2: 1659}, ('Distincts', 3, 5): {3: 99425, 2: 575}, ('Distincts', 3, 6): {3: 99800, 2: 200}, ('Distincts', 3, 7): {3: 99931, 2: 69}, ('Distincts', 3, 8): {3: 99978, 2: 22}, ('Distincts', 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, ('Distincts', 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, ('Distincts', 4, 3): {4: 80139, 3: 19631, 2: 230}, ('Distincts', 4, 4): {4: 90121, 3: 9858, 2: 21}, ('Distincts', 4, 5): {4: 95094, 3: 4904, 2: 2}, ('Distincts', 4, 6): {4: 97506, 3: 2494}, ('Distincts', 4, 7): {4: 98703, 3: 1297}, ('Distincts', 4, 8): {4: 99389, 3: 611}, ('Distincts', 5, 1): {4: 46379, 5: 9285, 3: 38538, 2: 5717, 1: 81}, ('Distincts', 5, 2): {4: 56472, 5: 31685, 3: 11647, 2: 196}, ('Distincts', 5, 3): {4: 44724, 5: 52254, 3: 3016, 2: 6}, ('Distincts', 5, 4): {4: 31632, 5: 67646, 3: 722}, ('Distincts', 5, 5): {5: 78394, 4: 21391, 3: 215}, ('Distincts', 5, 6): {5: 85475, 4: 14470, 3: 55}, ('Distincts', 5, 7): {5: 90340, 4: 9645, 3: 15}, ('Distincts', 5, 8): {5: 93537, 4: 6461, 3: 2}, ('Distincts', 6, 1): {3: 22985, 5: 23032, 4: 50464, 2: 2019, 6: 1492, 1: 8}, ('Distincts', 6, 2): {5: 52573, 4: 35174, 6: 8954, 3: 3273, 2: 26}, ('Distincts', 6, 3): {4: 17376, 5: 62578, 6: 19629, 3: 417}, ('Distincts', 6, 4): {5: 61029, 6: 31140, 4: 7787, 3: 44}, ('Distincts', 6, 5): {6: 41304, 5: 54997, 4: 3690, 3: 9}, ('Distincts', 6, 6): {5: 47225, 6: 51218, 4: 1557}, ('Distincts', 6, 7): {6: 58807, 5: 40465, 4: 728}, ('Distincts', 6, 8): {6: 65828, 5: 33851, 4: 321}, ('Distincts', 7, 1): {4: 44964, 5: 36020, 3: 13006, 6: 5345, 2: 661, 1: 4}, ('Distincts', 7, 2): {5: 56731, 6: 23583, 4: 18847, 3: 838, 2: 1}, ('Distincts', 7, 3): {5: 50312, 6: 43637, 4: 5983, 3: 68}, ('Distincts', 7, 4): {6: 59811, 5: 38393, 4: 1792, 3: 4}, ('Distincts', 7, 5): {5: 27728, 6: 71743, 4: 529}, ('Distincts', 7, 6): {6: 80419, 5: 19417, 4: 164}, ('Distincts', 7, 7): {6: 86382, 5: 13565, 4: 53}, ('Distincts', 7, 8): {6: 90455, 5: 9531, 4: 14}, ('Distincts', 8, 1): {5: 44977, 4: 36582, 6: 11304, 3: 6939, 2: 197, 1: 1}, ('Distincts', 8, 2): {6: 39803, 5: 50783, 4: 9181, 3: 231, 2: 2}, ('Distincts', 8, 3): {6: 63276, 5: 34748, 4: 1967, 3: 9}, ('Distincts', 8, 4): {6: 78603, 5: 21008, 4: 389}, ('Distincts', 8, 5): {6: 87408, 5: 12514, 4: 78}, ('Distincts', 8, 6): {6: 92823, 5: 7159, 4: 18}, ('Distincts', 8, 7): {6: 95821, 5: 4175, 4: 4}, ('Distincts', 8, 8): {6: 97560, 5: 2440}, ('TwosAndThrees', 1, 1): {0: 66466, 2: 16929, 3: 16605}, ('TwosAndThrees', 1, 2): {0: 55640, 2: 13812, 3: 30548}, ('TwosAndThrees', 1, 3): {3: 42178, 0: 46223, 2: 11599}, ('TwosAndThrees', 1, 4): {3: 51830, 0: 38552, 2: 9618}, ('TwosAndThrees', 1, 5): {0: 32320, 3: 59706, 2: 7974}, ('TwosAndThrees', 1, 6): {0: 26733, 3: 66583, 2: 6684}, ('TwosAndThrees', 1, 7): {3: 72148, 0: 22289, 2: 5563}, ('TwosAndThrees', 1, 8): {3: 76636, 0: 18676, 2: 4688}, ('TwosAndThrees', 2, 1): {3: 22335, 2: 21965, 0: 44565, 4: 2837, 5: 5615, 6: 2683}, ('TwosAndThrees', 2, 2): {3: 33956, 0: 30855, 6: 9438, 2: 15480, 5: 8278, 4: 1993}, ('TwosAndThrees', 2, 3): {0: 21509, 3: 38995, 6: 17586, 2: 10838, 5: 9727, 4: 1345}, ('TwosAndThrees', 2, 4): {6: 26659, 3: 40188, 5: 9825, 2: 7489, 0: 14935, 4: 904}, ('TwosAndThrees', 2, 5): {3: 38402, 6: 35581, 2: 5169, 5: 9671, 0: 10492, 4: 685}, ('TwosAndThrees', 2, 6): {3: 35460, 6: 44295, 5: 8994, 0: 7185, 2: 3590, 4: 476}, ('TwosAndThrees', 2, 7): {6: 52017, 3: 32147, 0: 4880, 5: 8139, 2: 2495, 4: 322}, ('TwosAndThrees', 2, 8): {3: 28213, 5: 7294, 6: 59058, 0: 3464, 4: 223, 2: 1748}, ('TwosAndThrees', 3, 1): {3: 22284, 0: 29892, 6: 6003, 4: 5497, 5: 11005, 2: 22136, 8: 1368, 7: 1366, 9: 449}, ('TwosAndThrees', 3, 2): {5: 14092, 2: 12757, 3: 28287, 6: 15822, 0: 17285, 7: 1730, 4: 3213, 9: 2873, 8: 3941}, ('TwosAndThrees', 3, 3): {6: 24863, 3: 27111, 9: 7340, 5: 13522, 8: 6154, 0: 9889, 4: 1847, 2: 7547, 7: 1727}, ('TwosAndThrees', 3, 4): {9: 13765, 6: 31427, 5: 11617, 3: 23072, 8: 7719, 0: 5717, 4: 1000, 2: 4245, 7: 1438}, ('TwosAndThrees', 3, 5): {5: 9296, 6: 34570, 0: 3347, 3: 18506, 4: 617, 9: 21395, 2: 2448, 8: 8683, 7: 1138}, ('TwosAndThrees', 3, 6): {8: 8820, 3: 14399, 6: 35444, 5: 7148, 9: 29632, 0: 1821, 2: 1452, 7: 943, 4: 341}, ('TwosAndThrees', 3, 7): {9: 37501, 3: 10672, 8: 8739, 6: 34879, 5: 5345, 7: 725, 2: 835, 4: 222, 0: 1082}, ('TwosAndThrees', 3, 8): {6: 33047, 9: 45099, 3: 8099, 8: 8018, 5: 4003, 0: 667, 2: 457, 7: 490, 4: 120}, ('TwosAndThrees', 4, 1): {3: 19811, 9: 1565, 2: 19764, 0: 19619, 6: 8721, 5: 14893, 4: 7306, 8: 3801, 11: 319, 7: 3672, 12: 60, 10: 469}, ('TwosAndThrees', 4, 2): {2: 9519, 9: 6678, 5: 15873, 6: 18083, 7: 3876, 8: 8667, 3: 20826, 0: 9395, 4: 3581, 12: 830, 10: 1077, 11: 1595}, ('TwosAndThrees', 4, 3): {12: 3245, 3: 16598, 8: 11445, 5: 12541, 2: 4676, 6: 23294, 0: 4538, 11: 3442, 4: 1694, 10: 1454, 9: 14017, 7: 3056}, ('TwosAndThrees', 4, 4): {8: 11841, 12: 7183, 6: 24218, 3: 11827, 9: 21496, 11: 5412, 10: 1447, 4: 827, 7: 2251, 5: 9096, 0: 2183, 2: 2219}, ('TwosAndThrees', 4, 5): {5: 6024, 9: 27693, 8: 11169, 12: 12776, 3: 7946, 10: 1428, 6: 22064, 2: 1078, 11: 6926, 0: 987, 4: 381, 7: 1528}, ('TwosAndThrees', 4, 6): {9: 31606, 5: 3815, 8: 9649, 11: 7894, 3: 5070, 12: 19495, 6: 19042, 10: 1243, 2: 514, 7: 971, 0: 530, 4: 171}, ('TwosAndThrees', 4, 7): {6: 15556, 3: 3337, 9: 33379, 12: 26771, 5: 2427, 11: 8601, 2: 239, 8: 7881, 10: 918, 0: 224, 7: 584, 4: 83}, ('TwosAndThrees', 4, 8): {11: 8379, 6: 12179, 8: 6079, 9: 33703, 2: 130, 12: 34875, 3: 1931, 5: 1468, 10: 738, 7: 353, 0: 123, 4: 42}, ('TwosAndThrees', 5, 1): {8: 6572, 5: 16396, 6: 10247, 4: 8172, 3: 16607, 2: 16414, 7: 6170, 0: 13070, 9: 3061, 10: 1591, 11: 1136, 12: 374, 13: 124, 14: 55, 15: 11}, ('TwosAndThrees', 5, 2): {6: 16838, 8: 12090, 5: 14763, 7: 5565, 2: 6515, 3: 14466, 10: 3040, 0: 5213, 9: 9616, 12: 2659, 4: 3294, 11: 4470, 14: 636, 13: 578, 15: 257}, ('TwosAndThrees', 5, 3): {5: 9700, 3: 9638, 6: 17947, 11: 8066, 9: 16835, 8: 13214, 13: 1039, 7: 3741, 0: 2126, 12: 7402, 4: 1321, 2: 2581, 15: 1332, 14: 1842, 10: 3216}, ('TwosAndThrees', 5, 4): {6: 15410, 9: 20661, 15: 3811, 5: 5781, 14: 3435, 10: 3042, 11: 10468, 8: 11579, 7: 2157, 3: 5807, 12: 14158, 0: 848, 13: 1264, 2: 1086, 4: 493}, ('TwosAndThrees', 5, 5): {12: 20783, 14: 5166, 6: 12042, 9: 22225, 8: 8829, 11: 11126, 3: 3222, 7: 1226, 10: 2220, 15: 7632, 5: 3184, 13: 1346, 2: 401, 0: 380, 4: 218}, ('TwosAndThrees', 5, 6): {15: 13013, 14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ('TwosAndThrees', 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ('TwosAndThrees', 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ('TwosAndThrees', 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ('TwosAndThrees', 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ('TwosAndThrees', 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ('TwosAndThrees', 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ('TwosAndThrees', 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ('TwosAndThrees', 6, 6): {11: 8492, 15: 21066, 12: 21369, 17: 5246, 6: 3342, 16: 1335, 14: 10649, 8: 3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ('TwosAndThrees', 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ('TwosAndThrees', 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 4: 2}, ('TwosAndThrees', 7, 1): {8: 10304, 0: 5802, 2: 10380, 11: 3830, 7: 9559, 10: 5017, 5: 15384, 4: 7689, 3: 10100, 9: 6289, 13: 1211, 6: 11027, 12: 2088, 14: 735, 15: 309, 16: 177, 17: 59, 19: 11, 18: 27, 20: 2}, ('TwosAndThrees', 7, 2): {10: 6466, 0: 1605, 8: 13172, 7: 5824, 11: 9919, 13: 3610, 9: 11600, 14: 4206, 2: 2810, 6: 11269, 5: 9442, 12: 6844, 15: 2299, 3: 6242, 17: 923, 16: 966, 4: 2215, 18: 376, 19: 114, 20: 76, 21: 22}, ('TwosAndThrees', 7, 3): {6: 8288, 7: 2641, 3: 2956, 9: 13017, 8: 10013, 14: 8279, 16: 2082, 12: 12302, 11: 12133, 13: 4465, 18: 1968, 15: 6674, 10: 5028, 17: 3001, 5: 4265, 2: 792, 20: 437, 21: 258, 4: 558, 0: 471, 19: 372}, ('TwosAndThrees', 7, 4): {15: 12396, 9: 10994, 18: 5400, 21: 1006, 5: 1774, 17: 5917, 14: 10700, 12: 15357, 11: 11007, 20: 1270, 10: 3007, 8: 6030, 7: 1160, 6: 4949, 3: 1218, 13: 3950, 16: 2660, 2: 211, 19: 710, 4: 157, 0: 127}, ('TwosAndThrees', 7, 5): {17: 8259, 20: 2565, 15: 17220, 9: 8155, 5: 671, 18: 10513, 21: 2728, 6: 2533, 11: 8026, 12: 15164, 16: 2851, 8: 3249, 14: 11317, 13: 3008, 19: 1041, 4: 47, 7: 426, 10: 1653, 3: 478, 2: 56, 0: 40}, ('TwosAndThrees', 7, 6): {12: 13233, 14: 10114, 18: 16405, 15: 19936, 16: 2451, 21: 5650, 6: 1331, 20: 4044, 17: 9948, 11: 5449, 10: 827, 9: 5335, 19: 1171, 13: 1883, 8: 1584, 7: 180, 5: 249, 3: 166, 2: 18, 0: 9, 4: 17}, ('TwosAndThrees', 7, 7): {17: 10123, 20: 5583, 18: 22122, 15: 20423, 14: 7969, 21: 10113, 12: 10638, 11: 3321, 9: 3282, 16: 1910, 13: 1273, 19: 1293, 6: 591, 8: 779, 7: 55, 5: 86, 3: 59, 10: 368, 2: 4, 0: 6, 4: 2}, ('TwosAndThrees', 7, 8): {17: 9621, 21: 15780, 20: 6667, 12: 7854, 18: 26592, 14: 5885, 15: 19476, 5: 36, 8: 318, 19: 1247, 16: 1458, 9: 1983, 11: 1880, 13: 707, 6: 249, 10: 197, 7: 19, 3: 27, 2: 2, 0: 2}, ('TwosAndThrees', 8, 1): {12: 3210, 0: 3799, 7: 10309, 5: 13610, 10: 6648, 6: 10144, 3: 7840, 2: 7917, 9: 7504, 8: 11477, 4: 6794, 13: 2299, 11: 5342, 14: 1498, 16: 444, 15: 738, 17: 245, 19: 51, 18: 105, 20: 20, 21: 4, 22: 1, 23: 1}, ('TwosAndThrees', 8, 2): {11: 11041, 12: 8197, 5: 6900, 18: 1088, 9: 10605, 14: 6195, 8: 11961, 16: 2205, 10: 7327, 13: 5337, 6: 8536, 0: 902, 4: 1547, 15: 3891, 3: 4041, 7: 5214, 20: 384, 2: 1872, 17: 2062, 21: 155, 22: 37, 19: 479, 23: 17, 24: 7}, ('TwosAndThrees', 8, 3): {11: 11338, 12: 11675, 13: 5514, 15: 8898, 6: 5105, 17: 5667, 9: 9728, 8: 7389, 18: 3828, 22: 206, 19: 1391, 14: 10523, 16: 3854, 10: 4686, 7: 1931, 23: 227, 21: 1014, 20: 1681, 3: 1598, 4: 392, 5: 2625, 2: 422, 0: 201, 24: 107}, ('TwosAndThrees', 8, 4): {17: 9133, 12: 11960, 15: 13098, 16: 4254, 11: 8286, 9: 6908, 20: 3995, 21: 3323, 14: 11359, 10: 2363, 18: 8743, 13: 4118, 19: 2217, 8: 3661, 24: 520, 7: 648, 6: 2558, 23: 768, 22: 471, 3: 518, 2: 97, 5: 884, 4: 75, 0: 43}, ('TwosAndThrees', 8, 5): {21: 7245, 13: 2524, 16: 3469, 12: 9934, 11: 5061, 17: 10743, 15: 14970, 18: 14072, 24: 1671, 14: 9578, 10: 1007, 20: 6621, 6: 1110, 9: 4201, 19: 2728, 23: 1727, 8: 1714, 22: 848, 5: 316, 3: 188, 7: 211, 0: 16, 2: 16, 4: 30}, ('TwosAndThrees', 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ('TwosAndThrees', 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ('TwosAndThrees', 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ('SumOfOdds', 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ('SumOfOdds', 1, 2): {0: 33472, 3: 27886, 1: 11017, 5: 27625}, ('SumOfOdds', 1, 3): {0: 27892, 5: 39809, 1: 9293, 3: 23006}, ('SumOfOdds', 1, 4): {3: 19299, 5: 49784, 0: 23060, 1: 7857}, ('SumOfOdds', 1, 5): {5: 58167, 3: 15941, 1: 6559, 0: 19333}, ('SumOfOdds', 1, 6): {5: 65098, 0: 16250, 1: 5428, 3: 13224}, ('SumOfOdds', 1, 7): {5: 70969, 3: 11191, 0: 13420, 1: 4420}, ('SumOfOdds', 1, 8): {5: 75949, 0: 11042, 3: 9361, 1: 3648}, ('SumOfOdds', 2, 1): {5: 16856, 8: 5540, 6: 8312, 4: 5580, 0: 24611, 1: 16800, 3: 16654, 2: 2815, 10: 2832}, ('SumOfOdds', 2, 2): {8: 15414, 3: 18386, 6: 13858, 0: 11216, 4: 6190, 5: 18558, 10: 7773, 1: 7355, 2: 1250}, ('SumOfOdds', 2, 3): {1: 5252, 6: 12709, 3: 12782, 8: 18363, 5: 22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ('SumOfOdds', 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ('SumOfOdds', 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 33791, 8: 18712, 2: 415, 6: 10020, 1: 2502}, ('SumOfOdds', 2, 6): {0: 2606, 8: 17272, 6: 8852, 10: 42502, 3: 4279, 5: 20970, 1: 1769, 4: 1468, 2: 282}, ('SumOfOdds', 2, 7): {5: 19160, 8: 15860, 6: 7664, 10: 50054, 1: 1225, 3: 2939, 4: 1039, 0: 1872, 2: 187}, ('SumOfOdds', 2, 8): {5: 16853, 8: 14179, 10: 57618, 3: 2121, 6: 6400, 1: 781, 0: 1230, 4: 671, 2: 147}, ('SumOfOdds', 3, 1): {4: 8109, 5: 13902, 2: 4149, 8: 8321, 6: 12607, 1: 12587, 7: 2743, 3: 12861, 0: 12467, 9: 3339, 10: 4223, 11: 2801, 15: 479, 13: 1412}, ('SumOfOdds', 3, 2): {8: 15592, 1: 3633, 5: 10240, 13: 6362, 3: 9469, 10: 7709, 15: 2120, 6: 13852, 11: 9070, 9: 7284, 4: 6110, 7: 3557, 0: 3750, 2: 1252}, ('SumOfOdds', 3, 3): {6: 10744, 10: 13273, 7: 2564, 8: 15277, 3: 5427, 13: 11044, 11: 10759, 5: 9729, 15: 6204, 1: 2180, 9: 6354, 4: 3603, 0: 2140, 2: 702}, ('SumOfOdds', 3, 4): {8: 13319, 6: 7837, 11: 11288, 9: 5211, 13: 14216, 15: 12408, 4: 2122, 3: 3247, 10: 17343, 7: 1738, 5: 8380, 1: 1212, 0: 1265, 2: 414}, ('SumOfOdds', 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ('SumOfOdds', 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ('SumOfOdds', 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ('SumOfOdds', 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ('SumOfOdds', 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 299, 20: 78}, ('SumOfOdds', 4, 2): {7: 4928, 20: 589, 9: 9721, 14: 5301, 18: 2447, 13: 8342, 10: 7201, 4: 4099, 8: 11060, 15: 2925, 6: 9467, 3: 4253, 11: 11978, 12: 3975, 1: 1599, 16: 4530, 5: 5463, 0: 1267, 2: 855}, ('SumOfOdds', 4, 3): {15: 7108, 8: 9018, 10: 8843, 20: 2524, 18: 5690, 16: 7373, 9: 7238, 11: 11998, 12: 3466, 13: 12173, 14: 5857, 4: 2033, 6: 5991, 1: 817, 2: 382, 3: 2070, 5: 4051, 0: 579, 7: 2789}, ('SumOfOdds', 4, 4): {5: 2645, 14: 5928, 8: 6372, 11: 10474, 13: 13555, 12: 2765, 16: 9426, 15: 11453, 18: 9512, 10: 8758, 6: 3695, 20: 6196, 4: 912, 2: 187, 9: 4810, 3: 1009, 0: 295, 7: 1637, 1: 371}, ('SumOfOdds', 4, 5): {20: 11573, 11: 8461, 15: 15171, 8: 4270, 16: 10401, 13: 12479, 18: 12704, 14: 5099, 10: 8159, 6: 2313, 9: 3010, 5: 1893, 12: 2054, 4: 520, 7: 932, 1: 194, 3: 528, 0: 136, 2: 103}, ('SumOfOdds', 4, 6): {14: 4251, 10: 7130, 15: 17784, 11: 6594, 20: 17780, 18: 14865, 13: 11039, 16: 10571, 8: 2849, 9: 1928, 6: 1369, 12: 1509, 7: 583, 5: 1123, 0: 75, 3: 225, 4: 198, 1: 84, 2: 43}, ('SumOfOdds', 4, 7): {11: 5056, 15: 19254, 20: 25294, 18: 15947, 12: 1124, 16: 10290, 13: 9005, 8: 1697, 9: 1202, 14: 3338, 5: 703, 3: 129, 10: 5644, 7: 317, 6: 798, 4: 112, 2: 19, 1: 38, 0: 33}, ('SumOfOdds', 4, 8): {15: 19503, 18: 16250, 10: 4365, 20: 33016, 13: 7294, 16: 9512, 11: 3635, 14: 2618, 6: 480, 12: 747, 9: 760, 0: 15, 8: 1001, 4: 64, 5: 448, 1: 22, 2: 17, 7: 203, 3: 50}, ('SumOfOdds', 5, 1): {5: 8737, 8: 8879, 11: 7319, 7: 7013, 16: 1886, 6: 11185, 9: 8310, 10: 6485, 14: 3092, 4: 7062, 0: 3061, 13: 4040, 3: 6431, 1: 5196, 17: 609, 12: 3785, 15: 1883, 19: 406, 2: 3389, 18: 788, 21: 205, 20: 172, 23: 48, 25: 19}, ('SumOfOdds', 5, 2): {4: 2325, 12: 6880, 21: 1941, 5: 2829, 17: 3048, 18: 4003, 11: 10285, 16: 7538, 14: 8806, 9: 8227, 8: 6951, 3: 1889, 7: 4166, 13: 8344, 10: 6439, 1: 723, 6: 5351, 19: 2919, 15: 4531, 0: 421, 23: 787, 20: 977, 2: 455, 25: 165}, ('SumOfOdds', 5, 3): {13: 9355, 7: 1955, 15: 6633, 23: 2922, 10: 5293, 9: 5007, 8: 4456, 11: 8533, 5: 1584, 16: 10471, 14: 8325, 18: 8174, 6: 2861, 21: 4463, 12: 4910, 3: 715, 19: 4741, 25: 1017, 20: 3505, 17: 3498, 4: 938, 1: 292, 2: 179, 0: 173}, ('SumOfOdds', 5, 4): {15: 8218, 10: 4157, 11: 6088, 21: 7049, 6: 1464, 18: 10977, 9: 2814, 12: 3036, 17: 3222, 23: 5968, 16: 10748, 13: 8276, 19: 5463, 20: 7264, 14: 6799, 3: 322, 8: 2685, 7: 929, 25: 3023, 5: 899, 4: 353, 0: 60, 2: 65, 1: 121}, ('SumOfOdds', 5, 5): {23: 9242, 21: 8982, 18: 12099, 16: 9890, 13: 6376, 14: 5000, 7: 416, 15: 8283, 25: 6730, 10: 2969, 20: 11138, 19: 5449, 11: 4198, 17: 2686, 8: 1446, 6: 749, 9: 1508, 12: 1961, 5: 490, 4: 169, 3: 124, 2: 23, 1: 40, 0: 32}, ('SumOfOdds', 5, 6): {16: 8471, 14: 3473, 15: 7862, 20: 14372, 18: 11813, 23: 11945, 13: 4540, 25: 11854, 17: 2176, 21: 9884, 19: 5053, 7: 214, 11: 2724, 10: 2039, 12: 1252, 5: 265, 8: 764, 9: 796, 6: 351, 3: 52, 0: 14, 4: 51, 2: 10, 1: 25}, ('SumOfOdds', 5, 7): {21: 10043, 15: 6797, 18: 10646, 20: 17146, 16: 6743, 23: 14100, 25: 18070, 14: 2413, 13: 3129, 17: 1582, 11: 1707, 19: 4232, 10: 1317, 12: 758, 8: 419, 9: 393, 7: 117, 6: 212, 0: 4, 5: 121, 3: 14, 4: 29, 1: 5, 2: 3}, ('SumOfOdds', 5, 8): {19: 3530, 25: 25173, 16: 5196, 14: 1481, 23: 15254, 20: 18491, 21: 9907, 18: 8924, 15: 5707, 11: 1045, 17: 1194, 13: 2121, 9: 226, 12: 432, 10: 885, 8: 209, 6: 87, 5: 73, 3: 11, 7: 43, 2: 2, 4: 7, 0: 2}, ('SumOfOdds', 6, 1): {3: 4224, 8: 8145, 5: 6613, 7: 7139, 11: 8130, 4: 5575, 1: 3156, 12: 5541, 14: 4722, 18: 1450, 15: 3188, 6: 9118, 9: 8689, 10: 7075, 16: 3201, 19: 1145, 13: 5215, 2: 2581, 0: 1673, 17: 1683, 21: 583, 20: 581, 22: 197, 24: 99, 23: 176, 25: 45, 26: 37, 28: 18, 30: 1}, ('SumOfOdds', 6, 2): {21: 3933, 14: 9068, 15: 6211, 16: 8370, 17: 6093, 23: 1654, 6: 2896, 20: 2831, 18: 5227, 19: 5836, 13: 7405, 10: 4912, 12: 6840, 9: 5601, 3: 789, 7: 2738, 11: 7613, 8: 4025, 4: 1143, 24: 1487, 26: 784, 5: 1464, 2: 207, 22: 1829, 25: 309, 28: 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12243, 28: 9047, 32: 12344, 38: 9623, 30: 10811, 16: 621, 42: 4569, 26: 6864, 44: 2425, 18: 1160, 36: 11307, 22: 3304, 48: 216, 24: 4882, 10: 59, 46: 1035, 20: 1982, 14: 294, 6: 8, 12: 167, 8: 26, 2: 2, 4: 1, 0: 1}, ('SumOfEvens', 8, 5): {40: 10958, 36: 12458, 30: 8178, 34: 12180, 38: 12260, 24: 2712, 42: 7933, 28: 6229, 32: 10485, 14: 108, 22: 1654, 46: 2920, 26: 4229, 20: 918, 44: 5192, 48: 814, 16: 222, 18: 467, 8: 11, 6: 3, 4: 1, 10: 17, 12: 51}, ('SumOfEvens', 8, 6): {36: 12064, 48: 2382, 26: 2376, 24: 1455, 44: 8361, 28: 3916, 40: 13920, 42: 11359, 38: 12862, 32: 7846, 46: 5912, 30: 5727, 34: 10367, 18: 208, 16: 78, 22: 753, 20: 361, 14: 30, 10: 6, 12: 15, 6: 1, 8: 1}, ('SumOfEvens', 8, 7): {34: 8619, 42: 13899, 32: 5303, 36: 10651, 30: 3778, 46: 10004, 28: 2390, 38: 12089, 40: 14999, 44: 10574, 48: 5042, 8: 3, 26: 1228, 24: 767, 22: 381, 18: 74, 20: 152, 16: 27, 12: 5, 14: 11, 10: 4}, ('SumOfEvens', 8, 8): {40: 14996, 38: 10354, 46: 13670, 42: 16214, 48: 9039, 30: 2458, 32: 3565, 36: 8996, 44: 11803, 34: 6358, 26: 611, 28: 1321, 24: 352, 22: 163, 18: 36, 20: 51, 16: 6, 14: 3, 10: 4}, ('DoubleThreesAndFours', 1, 1): {6: 16591, 8: 16660, 0: 66749}, ('DoubleThreesAndFours', 1, 2): {0: 44675, 6: 27694, 8: 27631}, ('DoubleThreesAndFours', 1, 3): {8: 35147, 6: 35261, 0: 29592}, ('DoubleThreesAndFours', 1, 4): {8: 45993, 0: 24601, 6: 29406}, ('DoubleThreesAndFours', 1, 5): {0: 20499, 8: 55081, 6: 24420}, ('DoubleThreesAndFours', 1, 6): {8: 62657, 6: 20227, 0: 17116}, ('DoubleThreesAndFours', 1, 7): {8: 68747, 6: 17060, 0: 14193}, ('DoubleThreesAndFours', 1, 8): {6: 13924, 8: 74099, 0: 11977}, ('DoubleThreesAndFours', 2, 1): {0: 44382, 6: 22191, 14: 5568, 12: 2892, 8: 22251, 16: 2716}, ('DoubleThreesAndFours', 2, 2): {14: 15403, 0: 19720, 6: 24652, 12: 7693, 8: 24891, 16: 7641}, ('DoubleThreesAndFours', 2, 3): {8: 20929, 14: 24721, 16: 12376, 0: 8765, 12: 12201, 6: 21008}, ('DoubleThreesAndFours', 2, 4): {14: 26935, 6: 14466, 16: 21136, 8: 22828, 12: 8471, 0: 6164}, ('DoubleThreesAndFours', 2, 5): {8: 22620, 14: 26822, 12: 6057, 16: 30189, 6: 10005, 0: 4307}, ('DoubleThreesAndFours', 2, 6): {14: 25326, 16: 39078, 0: 2879, 12: 4204, 8: 21466, 6: 7047}, ('DoubleThreesAndFours', 2, 7): {16: 47373, 8: 19698, 14: 23404, 6: 4637, 12: 2846, 0: 2042}, ('DoubleThreesAndFours', 2, 8): {16: 54542, 14: 20907, 0: 1385, 8: 17795, 6: 3373, 12: 1998}, ('DoubleThreesAndFours', 3, 1): {8: 22138, 0: 29378, 24: 480, 6: 22335, 14: 11232, 12: 5551, 16: 5702, 22: 1429, 20: 1344, 18: 411}, ('DoubleThreesAndFours', 3, 2): {6: 16518, 0: 8894, 14: 20757, 24: 2162, 16: 10163, 8: 16277, 12: 10334, 20: 6399, 18: 2102, 22: 6394}, ('DoubleThreesAndFours', 3, 3): {20: 12900, 6: 9270, 18: 4335, 8: 9252, 22: 13101, 14: 21922, 12: 11066, 16: 11045, 0: 2643, 24: 4466}, ('DoubleThreesAndFours', 3, 4): {14: 20310, 16: 15697, 8: 8330, 12: 6223, 6: 5443, 20: 11695, 24: 9679, 22: 18521, 0: 1523, 18: 2579}, ('DoubleThreesAndFours', 3, 5): {24: 16491, 14: 16545, 12: 3700, 20: 9740, 22: 22168, 16: 18825, 8: 7038, 6: 3180, 18: 1468, 0: 845}, ('DoubleThreesAndFours', 3, 6): {24: 24494, 22: 23876, 14: 12995, 16: 20078, 20: 7959, 8: 5456, 12: 2033, 6: 1774, 18: 836, 0: 499}, ('DoubleThreesAndFours', 3, 7): {14: 9997, 24: 32693, 22: 24010, 16: 20149, 20: 5970, 6: 1005, 8: 4244, 0: 293, 12: 1190, 18: 449}, ('DoubleThreesAndFours', 3, 8): {22: 23158, 24: 40426, 20: 4456, 16: 19616, 6: 598, 14: 7514, 8: 3029, 12: 736, 18: 289, 0: 178}, ('DoubleThreesAndFours', 4, 1): {0: 19809, 22: 3661, 6: 19538, 14: 14835, 8: 19765, 16: 7377, 12: 7513, 20: 3787, 24: 1312, 18: 1239, 28: 426, 30: 317, 32: 89, 26: 332}, ('DoubleThreesAndFours', 4, 2): {14: 18494, 12: 9152, 8: 9681, 6: 9759, 32: 582, 20: 11442, 24: 4411, 16: 9182, 22: 11245, 28: 3481, 30: 2486, 18: 3796, 26: 2317, 0: 3972}, ('DoubleThreesAndFours', 4, 3): {30: 6209, 16: 6563, 20: 15371, 26: 6250, 14: 12957, 32: 1553, 22: 15441, 18: 5181, 28: 9263, 24: 6812, 12: 6446, 6: 3580, 8: 3629, 0: 745}, ('DoubleThreesAndFours', 4, 4): {22: 18508, 14: 10057, 30: 11372, 20: 11583, 16: 7710, 24: 10280, 26: 4741, 18: 2466, 6: 1737, 28: 10883, 32: 4475, 8: 2754, 0: 371, 12: 3063}, ('DoubleThreesAndFours', 4, 5): {30: 16244, 28: 10930, 24: 14117, 14: 6844, 12: 1523, 32: 9165, 8: 1901, 6: 827, 22: 18097, 16: 7733, 0: 163, 20: 8048, 26: 3189, 18: 1219}, ('DoubleThreesAndFours', 4, 6): {24: 16773, 22: 16364, 30: 19782, 32: 15340, 26: 2088, 28: 9736, 16: 6958, 12: 735, 20: 5399, 8: 1284, 14: 4451, 6: 427, 18: 584, 0: 79}, ('DoubleThreesAndFours', 4, 7): {32: 22360, 16: 5625, 24: 18879, 28: 8204, 22: 13634, 14: 2915, 30: 22055, 8: 804, 20: 3378, 26: 1283, 18: 284, 12: 341, 6: 189, 0: 49}, ('DoubleThreesAndFours', 4, 8): {20: 2145, 32: 29918, 30: 22891, 22: 10960, 24: 19444, 28: 6551, 26: 825, 16: 4633, 14: 1776, 8: 471, 12: 162, 6: 81, 18: 123, 0: 20}, ('DoubleThreesAndFours', 5, 1): {12: 8304, 6: 16411, 16: 8295, 18: 2097, 22: 6092, 14: 16464, 0: 13122, 20: 6145, 24: 2291, 8: 16451, 28: 1554, 26: 1026, 30: 1078, 34: 123, 32: 320, 36: 136, 38: 72, 40: 19}, ('DoubleThreesAndFours', 5, 2): {22: 12832, 16: 6786, 14: 13562, 28: 7847, 34: 1650, 20: 12668, 6: 5469, 12: 6656, 0: 1676, 26: 5358, 18: 4316, 8: 5318, 32: 2093, 24: 5636, 30: 5450, 36: 1673, 38: 832, 40: 178}, ('DoubleThreesAndFours', 5, 3): {20: 11385, 26: 9086, 24: 6096, 30: 9486, 14: 6384, 12: 3259, 28: 13665, 22: 11613, 36: 5338, 38: 2707, 6: 1334, 18: 3897, 32: 4914, 0: 223, 34: 5404, 8: 1388, 16: 3268, 40: 553}, ('DoubleThreesAndFours', 5, 4): {30: 14319, 14: 4130, 22: 11374, 20: 7322, 26: 5595, 28: 13488, 24: 6778, 34: 5245, 38: 6576, 36: 8341, 8: 836, 40: 2124, 32: 7169, 16: 3174, 18: 1558, 12: 1337, 6: 539, 0: 95}, ('DoubleThreesAndFours', 5, 5): {34: 4446, 28: 11201, 30: 16810, 32: 10248, 24: 7483, 38: 11129, 36: 9980, 20: 4128, 26: 3289, 40: 5010, 14: 2318, 22: 9485, 8: 529, 16: 2532, 12: 537, 18: 608, 6: 229, 0: 38}, ('DoubleThreesAndFours', 5, 6): {30: 17020, 38: 15569, 34: 3326, 40: 9391, 24: 7336, 32: 13519, 36: 10243, 22: 7062, 28: 8349, 16: 2019, 20: 2231, 26: 1815, 12: 201, 14: 1301, 8: 260, 18: 256, 6: 86, 0: 16}, ('DoubleThreesAndFours', 5, 7): {34: 2268, 38: 19248, 32: 16368, 16: 1354, 40: 15233, 24: 6675, 18: 105, 22: 4805, 36: 9333, 30: 15652, 28: 5843, 26: 957, 8: 123, 20: 1203, 14: 710, 12: 85, 6: 31, 0: 7}, ('DoubleThreesAndFours', 5, 8): {40: 21990, 36: 8113, 24: 5723, 32: 18163, 38: 21064, 30: 13694, 28: 3938, 22: 3183, 34: 1518, 16: 957, 26: 458, 14: 358, 20: 677, 8: 62, 12: 38, 18: 44, 6: 18, 0: 2}, ('DoubleThreesAndFours', 6, 1): {0: 8738, 22: 8265, 20: 8158, 28: 3123, 8: 12988, 26: 2034, 24: 3198, 6: 13463, 12: 8147, 14: 16506, 30: 2139, 16: 8267, 18: 2801, 32: 737, 38: 251, 36: 521, 34: 482, 42: 45, 44: 31, 40: 89, 46: 16, 48: 1}, ('DoubleThreesAndFours', 6, 2): {20: 11349, 18: 3691, 30: 7553, 40: 1118, 16: 4479, 26: 6877, 8: 2801, 14: 8843, 22: 11356, 28: 10790, 24: 5588, 34: 4398, 6: 2934, 42: 878, 32: 3974, 36: 4501, 12: 4564, 38: 2498, 0: 784, 46: 267, 44: 700, 48: 57}, ('DoubleThreesAndFours', 6, 3): {30: 9057, 28: 12114, 38: 6065, 36: 9738, 34: 9548, 6: 498, 14: 2851, 18: 2245, 40: 3765, 42: 3710, 20: 6930, 26: 8000, 24: 4357, 32: 6825, 12: 1466, 46: 1087, 22: 6770, 16: 1434, 44: 2808, 8: 492, 0: 72, 48: 168}, ('DoubleThreesAndFours', 6, 4): {14: 1534, 38: 10194, 18: 698, 30: 10836, 32: 6720, 42: 4836, 36: 12511, 40: 5366, 26: 4164, 44: 5640, 46: 3626, 34: 7926, 24: 3611, 28: 10039, 20: 3603, 6: 160, 22: 5673, 16: 1101, 48: 992, 8: 255, 12: 491, 0: 24}, ('DoubleThreesAndFours', 6, 5): {40: 7833, 28: 6985, 46: 7219, 36: 12190, 38: 14163, 34: 5449, 32: 7047, 30: 10494, 44: 8161, 24: 3099, 42: 4738, 26: 2099, 22: 3827, 48: 2739, 16: 877, 18: 244, 20: 1755, 14: 771, 0: 8, 12: 144, 8: 113, 6: 45}, ('DoubleThreesAndFours', 6, 6): {38: 16439, 44: 9477, 36: 10342, 40: 10795, 48: 5932, 30: 8697, 42: 4008, 26: 994, 46: 11631, 16: 539, 28: 4300, 22: 2383, 32: 7204, 20: 762, 34: 3427, 24: 2528, 18: 96, 14: 311, 6: 19, 8: 60, 0: 4, 12: 52}, ('DoubleThreesAndFours', 6, 7): {32: 7113, 42: 3210, 44: 9660, 46: 15581, 38: 16374, 48: 10353, 40: 13795, 30: 6708, 36: 8028, 24: 1921, 34: 1922, 20: 355, 28: 2646, 26: 437, 22: 1401, 16: 278, 14: 145, 8: 28, 18: 31, 6: 2, 12: 11, 0: 1}, ('DoubleThreesAndFours', 6, 8): {46: 18638, 30: 4988, 40: 16076, 24: 1352, 38: 15017, 48: 16432, 36: 5846, 32: 6450, 44: 9045, 20: 143, 28: 1404, 42: 2271, 34: 1121, 26: 160, 16: 162, 22: 812, 14: 61, 12: 9, 8: 9, 18: 4}, ('DoubleThreesAndFours', 7, 1): {16: 7739, 6: 10242, 22: 9715, 20: 9418, 14: 15252, 8: 10404, 24: 4020, 12: 7634, 44: 141, 0: 5803, 18: 3195, 30: 3270, 40: 276, 28: 4897, 32: 1409, 34: 1182, 36: 1226, 38: 668, 42: 226, 26: 3173, 46: 71, 48: 17, 50: 16, 54: 1, 52: 5}, ('DoubleThreesAndFours', 7, 2): {20: 8788, 12: 2776, 28: 11132, 44: 2245, 38: 4228, 34: 6959, 42: 2873, 18: 2867, 36: 7000, 32: 5286, 0: 357, 30: 7900, 40: 2927, 26: 7287, 16: 2846, 22: 8736, 46: 1083, 24: 4687, 14: 5631, 6: 1500, 48: 593, 8: 1462, 50: 446, 56: 17, 52: 276, 54: 98}, ('DoubleThreesAndFours', 7, 3): {42: 7821, 36: 10081, 34: 10088, 30: 6641, 38: 7494, 50: 2457, 28: 8269, 26: 5630, 32: 6333, 40: 6987, 52: 1356, 44: 6306, 20: 3613, 16: 593, 24: 2466, 48: 2709, 46: 3838, 18: 1218, 12: 568, 22: 3517, 6: 177, 8: 170, 54: 442, 14: 1144, 0: 14, 56: 68}, ('DoubleThreesAndFours', 7, 4): {46: 7244, 48: 4033, 30: 6379, 44: 10218, 20: 1553, 42: 8597, 28: 5838, 52: 3713, 38: 9398, 50: 3948, 32: 4601, 40: 6630, 36: 10741, 34: 6715, 22: 2413, 24: 1659, 26: 2455, 54: 1886, 16: 409, 12: 175, 56: 464, 14: 499, 18: 333, 8: 51, 6: 43, 0: 5}, ('DoubleThreesAndFours', 7, 5): {44: 11990, 48: 5993, 32: 3707, 36: 8930, 28: 3284, 18: 109, 42: 6888, 50: 4653, 38: 10182, 52: 6259, 46: 11137, 54: 4781, 34: 3996, 56: 1472, 22: 1391, 40: 6767, 26: 963, 24: 1144, 16: 242, 30: 5190, 20: 603, 6: 16, 14: 225, 8: 23, 12: 49, 0: 6}, ('DoubleThreesAndFours', 7, 6): {38: 9755, 52: 8339, 46: 14027, 30: 3572, 36: 6292, 40: 7116, 54: 8347, 50: 4510, 34: 2079, 56: 3697, 42: 5017, 44: 11451, 48: 8688, 28: 1705, 22: 755, 24: 789, 32: 3005, 14: 65, 20: 239, 16: 134, 26: 357, 18: 36, 8: 10, 12: 15}, ('DoubleThreesAndFours', 7, 7): {50: 3831, 46: 15829, 44: 9719, 36: 4015, 38: 8195, 40: 7156, 42: 3220, 30: 2281, 54: 12409, 56: 7255, 32: 2381, 52: 9257, 48: 11561, 26: 133, 22: 341, 34: 923, 28: 853, 24: 452, 20: 81, 16: 60, 18: 9, 14: 27, 12: 5, 8: 5, 6: 2}, ('DoubleThreesAndFours', 7, 8): {56: 12116, 52: 9418, 38: 6452, 48: 14055, 32: 1809, 54: 16183, 30: 1357, 50: 3002, 36: 2363, 46: 15616, 40: 6757, 42: 1859, 44: 7554, 24: 285, 16: 30, 34: 481, 22: 175, 14: 10, 28: 379, 20: 42, 26: 55, 8: 1, 12: 1}, ('DoubleThreesAndFours', 8, 1): {24: 4614, 16: 6920, 34: 2175, 14: 13657, 30: 4504, 0: 3982, 20: 10167, 12: 6731, 22: 10162, 36: 2120, 28: 6414, 32: 2079, 18: 3314, 26: 4302, 6: 7946, 8: 7712, 44: 379, 38: 1218, 40: 633, 42: 533, 50: 59, 48: 108, 46: 204, 56: 7, 52: 39, 60: 1, 54: 15, 58: 5}, ('DoubleThreesAndFours', 8, 2): {30: 7306, 42: 5074, 28: 9769, 44: 4004, 26: 6631, 40: 4617, 12: 1685, 20: 6475, 22: 6445, 50: 1654, 36: 8364, 32: 5644, 16: 1623, 14: 3393, 46: 2396, 6: 749, 34: 8035, 24: 3639, 38: 5473, 54: 537, 18: 2090, 48: 1840, 52: 1069, 8: 735, 58: 188, 62: 29, 56: 294, 0: 161, 60: 80, 64: 1}, ('DoubleThreesAndFours', 8, 3): {44: 8078, 34: 8086, 42: 9356, 36: 8106, 38: 6904, 28: 4918, 40: 7729, 30: 4044, 32: 4752, 46: 5989, 50: 5725, 52: 4060, 48: 6119, 58: 1298, 54: 2440, 24: 1345, 22: 1657, 26: 3379, 20: 1620, 56: 1856, 18: 582, 6: 58, 14: 525, 64: 31, 62: 167, 60: 670, 8: 53, 12: 214, 16: 233, 0: 6}, ('DoubleThreesAndFours', 8, 4): {42: 8437, 48: 6657, 44: 10354, 54: 4862, 36: 7211, 34: 4515, 50: 7755, 52: 7763, 56: 3204, 60: 2271, 30: 3188, 20: 611, 46: 8005, 38: 6651, 32: 2521, 40: 5753, 58: 2769, 22: 950, 24: 729, 26: 1214, 28: 2819, 16: 151, 62: 1044, 14: 161, 18: 137, 64: 176, 12: 56, 8: 22, 0: 1, 6: 13}, ('DoubleThreesAndFours', 8, 5): {52: 10531, 60: 4703, 54: 8556, 40: 4470, 44: 9760, 36: 4863, 18: 29, 42: 5705, 50: 7637, 58: 4174, 48: 6812, 28: 1342, 56: 4701, 46: 9599, 30: 2068, 64: 852, 38: 5795, 62: 3095, 24: 376, 32: 1531, 22: 458, 34: 2192, 26: 394, 16: 60, 20: 226, 12: 12, 14: 51, 8: 6, 6: 2}, ('DoubleThreesAndFours', 8, 6): {62: 6075, 44: 7896, 50: 6139, 54: 12058, 60: 6904, 64: 2228, 58: 4472, 38: 4423, 46: 9936, 48: 6877, 52: 11631, 56: 6986, 42: 3493, 36: 2900, 40: 3520, 22: 198, 28: 607, 30: 1238, 34: 915, 32: 1017, 24: 216, 26: 152, 18: 8, 20: 65, 16: 27, 14: 14, 0: 2, 12: 3}, ('DoubleThreesAndFours', 8, 7): {56: 9724, 60: 8403, 54: 14541, 38: 3201, 50: 4302, 52: 10602, 44: 5588, 40: 2855, 46: 9100, 58: 4125, 62: 9808, 36: 1437, 48: 7192, 32: 687, 42: 1827, 64: 5089, 24: 110, 30: 659, 28: 234, 22: 81, 26: 28, 34: 363, 14: 6, 16: 10, 20: 24, 8: 1, 12: 1, 6: 1, 18: 1}, ('DoubleThreesAndFours', 8, 8): {62: 13539, 52: 8871, 48: 7127, 60: 9206, 64: 9203, 50: 2679, 46: 7646, 56: 12383, 54: 15467, 42: 851, 30: 298, 44: 3621, 38: 2026, 58: 3339, 40: 2268, 36: 703, 32: 421, 16: 4, 34: 150, 28: 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('QuadrupleOnesAndTwos', 2, 6): {16: 42762, 8: 29716, 12: 17216, 0: 4569, 4: 5737}, ('QuadrupleOnesAndTwos', 2, 7): {12: 15756, 16: 50635, 8: 26489, 4: 3974, 0: 3146}, ('QuadrupleOnesAndTwos', 2, 8): {12: 14167, 16: 57266, 0: 2265, 8: 23578, 4: 2724}, ('QuadrupleOnesAndTwos', 3, 1): {12: 11557, 0: 29440, 8: 27747, 4: 22574, 16: 6892, 24: 459, 20: 1331}, ('QuadrupleOnesAndTwos', 3, 2): {8: 26434, 0: 8857, 12: 22986, 4: 16295, 16: 16799, 24: 2148, 20: 6481}, ('QuadrupleOnesAndTwos', 3, 3): {20: 11167, 12: 21685, 4: 9447, 0: 5063, 16: 24084, 8: 22255, 24: 6299}, ('QuadrupleOnesAndTwos', 3, 4): {24: 12448, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 0: 2864}, ('QuadrupleOnesAndTwos', 3, 5): {16: 30427, 24: 19843, 12: 14755, 8: 13478, 20: 16602, 0: 1676, 4: 3219}, ('QuadrupleOnesAndTwos', 3, 6): {24: 27625, 12: 11326, 16: 31125, 4: 1758, 8: 10259, 20: 16984, 0: 923}, ('QuadrupleOnesAndTwos', 3, 7): {24: 35548, 12: 8769, 16: 29367, 20: 17085, 0: 586, 8: 7543, 4: 1102}, 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('OneTwoOneConsecutive', 6, 7): {30: 89986, 0: 10014}, ('OneTwoOneConsecutive', 6, 8): {30: 91749, 0: 8251}, ('OneTwoOneConsecutive', 7, 1): {0: 55544, 30: 44456}, ('OneTwoOneConsecutive', 7, 2): {30: 75160, 0: 24840}, ('OneTwoOneConsecutive', 7, 3): {30: 84898, 0: 15102}, ('OneTwoOneConsecutive', 7, 4): {30: 89459, 0: 10541}, ('OneTwoOneConsecutive', 7, 5): {30: 92280, 0: 7720}, ('OneTwoOneConsecutive', 7, 6): {30: 94446, 0: 5554}, ('OneTwoOneConsecutive', 7, 7): {30: 95894, 0: 4106}, ('OneTwoOneConsecutive', 7, 8): {30: 96975, 0: 3025}, ('OneTwoOneConsecutive', 8, 1): {30: 59307, 0: 40693}, ('OneTwoOneConsecutive', 8, 2): {0: 14827, 30: 85173}, ('OneTwoOneConsecutive', 8, 3): {30: 91805, 0: 8195}, ('OneTwoOneConsecutive', 8, 4): {30: 94617, 0: 5383}, ('OneTwoOneConsecutive', 8, 5): {30: 96605, 0: 3395}, ('OneTwoOneConsecutive', 8, 6): {30: 97701, 0: 2299}, ('OneTwoOneConsecutive', 8, 7): {30: 98588, 0: 1412}, ('OneTwoOneConsecutive', 8, 8): {30: 99128, 0: 872}, ('ThreeDistinctDice', 1, 1): {0: 100000}, ('ThreeDistinctDice', 1, 2): {0: 100000}, ('ThreeDistinctDice', 1, 3): {0: 100000}, ('ThreeDistinctDice', 1, 4): {0: 100000}, ('ThreeDistinctDice', 1, 5): {0: 100000}, ('ThreeDistinctDice', 1, 6): {0: 100000}, ('ThreeDistinctDice', 1, 7): {0: 100000}, ('ThreeDistinctDice', 1, 8): {0: 100000}, ('ThreeDistinctDice', 2, 1): {0: 100000}, ('ThreeDistinctDice', 2, 2): {0: 100000}, ('ThreeDistinctDice', 2, 3): {0: 100000}, ('ThreeDistinctDice', 2, 4): {0: 100000}, ('ThreeDistinctDice', 2, 5): {0: 100000}, ('ThreeDistinctDice', 2, 6): {0: 100000}, ('ThreeDistinctDice', 2, 7): {0: 100000}, ('ThreeDistinctDice', 2, 8): {0: 100000}, ('ThreeDistinctDice', 3, 1): {20: 55293, 0: 44707}, ('ThreeDistinctDice', 3, 2): {0: 15078, 20: 84922}, ('ThreeDistinctDice', 3, 3): {20: 94944, 0: 5056}, ('ThreeDistinctDice', 3, 4): {0: 1688, 20: 98312}, ('ThreeDistinctDice', 3, 5): {20: 99484, 0: 516}, ('ThreeDistinctDice', 3, 6): {20: 99818, 0: 182}, ('ThreeDistinctDice', 3, 7): {20: 99944, 0: 56}, ('ThreeDistinctDice', 3, 8): {20: 99985, 0: 15}, ('ThreeDistinctDice', 4, 1): {20: 83279, 0: 16721}, ('ThreeDistinctDice', 4, 2): {20: 98174, 0: 1826}, ('ThreeDistinctDice', 4, 3): {20: 99797, 0: 203}, ('ThreeDistinctDice', 4, 4): {20: 99982, 0: 18}, ('ThreeDistinctDice', 4, 5): {20: 99997, 0: 3}, ('ThreeDistinctDice', 4, 6): {20: 100000}, ('ThreeDistinctDice', 4, 7): {20: 100000}, ('ThreeDistinctDice', 4, 8): {20: 100000}, ('ThreeDistinctDice', 5, 1): {0: 5904, 20: 94096}, ('ThreeDistinctDice', 5, 2): {20: 99764, 0: 236}, ('ThreeDistinctDice', 5, 3): {20: 99988, 0: 12}, ('ThreeDistinctDice', 5, 4): {20: 100000}, ('ThreeDistinctDice', 5, 5): {20: 100000}, ('ThreeDistinctDice', 5, 6): {20: 100000}, ('ThreeDistinctDice', 5, 7): {20: 100000}, ('ThreeDistinctDice', 5, 8): {20: 100000}, ('ThreeDistinctDice', 6, 1): {20: 98008, 0: 1992}, ('ThreeDistinctDice', 6, 2): {20: 99979, 0: 21}, ('ThreeDistinctDice', 6, 3): {20: 100000}, ('ThreeDistinctDice', 6, 4): {20: 100000}, ('ThreeDistinctDice', 6, 5): {20: 100000}, ('ThreeDistinctDice', 6, 6): {20: 100000}, ('ThreeDistinctDice', 6, 7): {20: 100000}, ('ThreeDistinctDice', 6, 8): {20: 100000}, ('ThreeDistinctDice', 7, 1): {20: 99308, 0: 692}, ('ThreeDistinctDice', 7, 2): {20: 99996, 0: 4}, ('ThreeDistinctDice', 7, 3): {20: 100000}, ('ThreeDistinctDice', 7, 4): {20: 100000}, ('ThreeDistinctDice', 7, 5): {20: 100000}, ('ThreeDistinctDice', 7, 6): {20: 100000}, ('ThreeDistinctDice', 7, 7): {20: 100000}, ('ThreeDistinctDice', 7, 8): {20: 100000}, ('ThreeDistinctDice', 8, 1): {20: 99757, 0: 243}, ('ThreeDistinctDice', 8, 2): {20: 99999, 0: 1}, ('ThreeDistinctDice', 8, 3): {20: 100000}, ('ThreeDistinctDice', 8, 4): {20: 100000}, ('ThreeDistinctDice', 8, 5): {20: 100000}, ('ThreeDistinctDice', 8, 6): {20: 100000}, ('ThreeDistinctDice', 8, 7): {20: 100000}, ('ThreeDistinctDice', 8, 8): {20: 100000}, ('TwoPair', 1, 1): {0: 100000}, ('TwoPair', 1, 2): {0: 100000}, ('TwoPair', 1, 3): {0: 100000}, ('TwoPair', 1, 4): {0: 100000}, ('TwoPair', 1, 5): {0: 100000}, ('TwoPair', 1, 6): {0: 100000}, ('TwoPair', 1, 7): {0: 100000}, ('TwoPair', 1, 8): {0: 100000}, ('TwoPair', 2, 1): {0: 100000}, ('TwoPair', 2, 2): {0: 100000}, ('TwoPair', 2, 3): {0: 100000}, ('TwoPair', 2, 4): {0: 100000}, ('TwoPair', 2, 5): {0: 100000}, ('TwoPair', 2, 6): {0: 100000}, ('TwoPair', 2, 7): {0: 100000}, ('TwoPair', 2, 8): {0: 100000}, ('TwoPair', 3, 1): {0: 100000}, ('TwoPair', 3, 2): {0: 100000}, ('TwoPair', 3, 3): {0: 100000}, ('TwoPair', 3, 4): {0: 100000}, ('TwoPair', 3, 5): {0: 100000}, ('TwoPair', 3, 6): {0: 100000}, ('TwoPair', 3, 7): {0: 100000}, ('TwoPair', 3, 8): {0: 100000}, ('TwoPair', 4, 1): {0: 93065, 30: 6935}, ('TwoPair', 4, 2): {0: 82102, 30: 17898}, ('TwoPair', 4, 3): {0: 71209, 30: 28791}, ('TwoPair', 4, 4): {0: 61609, 30: 38391}, ('TwoPair', 4, 5): {30: 46964, 0: 53036}, ('TwoPair', 4, 6): {0: 45705, 30: 54295}, ('TwoPair', 4, 7): {0: 39398, 30: 60602}, ('TwoPair', 4, 8): {30: 66327, 0: 33673}, ('TwoPair', 5, 1): {30: 27153, 0: 72847}, ('TwoPair', 5, 2): {30: 53241, 0: 46759}, ('TwoPair', 5, 3): {30: 70538, 0: 29462}, ('TwoPair', 5, 4): {30: 81649, 0: 18351}, ('TwoPair', 5, 5): {30: 88207, 0: 11793}, ('TwoPair', 5, 6): {30: 92615, 0: 7385}, ('TwoPair', 5, 7): {30: 95390, 0: 4610}, ('TwoPair', 5, 8): {30: 97062, 0: 2938}, ('TwoPair', 6, 1): {30: 55569, 0: 44431}, ('TwoPair', 6, 2): {30: 82817, 0: 17183}, ('TwoPair', 6, 3): {30: 93241, 0: 6759}, ('TwoPair', 6, 4): {30: 97438, 0: 2562}, ('TwoPair', 6, 5): {30: 99052, 0: 948}, ('TwoPair', 6, 6): {30: 99625, 0: 375}, ('TwoPair', 6, 7): {30: 99862, 0: 138}, ('TwoPair', 6, 8): {30: 99943, 0: 57}, ('TwoPair', 7, 1): {0: 19888, 30: 80112}, ('TwoPair', 7, 2): {30: 96065, 0: 3935}, ('TwoPair', 7, 3): {30: 99199, 0: 801}, ('TwoPair', 7, 4): {30: 99825, 0: 175}, ('TwoPair', 7, 5): {30: 99969, 0: 31}, ('TwoPair', 7, 6): {30: 99993, 0: 7}, ('TwoPair', 7, 7): {30: 99998, 0: 2}, ('TwoPair', 7, 8): {30: 100000}, ('TwoPair', 8, 1): {30: 93209, 0: 6791}, ('TwoPair', 8, 2): {30: 99412, 0: 588}, ('TwoPair', 8, 3): {30: 99939, 0: 61}, ('TwoPair', 8, 4): {30: 99994, 0: 6}, ('TwoPair', 8, 5): {30: 100000}, ('TwoPair', 8, 6): {30: 100000}, ('TwoPair', 8, 7): {30: 100000}, ('TwoPair', 8, 8): {30: 100000}, ('TwoOneTwoConsecutive', 1, 1): {0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {0: 100000}, ('TwoOneTwoConsecutive', 4, 2): {0: 100000}, ('TwoOneTwoConsecutive', 4, 3): {0: 100000}, ('TwoOneTwoConsecutive', 4, 4): {0: 100000}, ('TwoOneTwoConsecutive', 4, 5): {0: 100000}, ('TwoOneTwoConsecutive', 4, 6): {0: 100000}, ('TwoOneTwoConsecutive', 4, 7): {0: 100000}, ('TwoOneTwoConsecutive', 4, 8): {0: 100000}, ('TwoOneTwoConsecutive', 5, 1): {0: 98403, 40: 1597}, ('TwoOneTwoConsecutive', 5, 2): {0: 90651, 40: 9349}, ('TwoOneTwoConsecutive', 5, 3): {0: 80100, 40: 19900}, ('TwoOneTwoConsecutive', 5, 4): {0: 69131, 40: 30869}, ('TwoOneTwoConsecutive', 5, 5): {0: 58252, 40: 41748}, ('TwoOneTwoConsecutive', 5, 6): {0: 49405, 40: 50595}, ('TwoOneTwoConsecutive', 5, 7): {40: 58415, 0: 41585}, ('TwoOneTwoConsecutive', 5, 8): {40: 65048, 0: 34952}, ('TwoOneTwoConsecutive', 6, 1): {0: 93465, 40: 6535}, ('TwoOneTwoConsecutive', 6, 2): {40: 26584, 0: 73416}, ('TwoOneTwoConsecutive', 6, 3): {40: 45959, 0: 54041}, ('TwoOneTwoConsecutive', 6, 4): {40: 61465, 0: 38535}, ('TwoOneTwoConsecutive', 6, 5): {40: 72634, 0: 27366}, ('TwoOneTwoConsecutive', 6, 6): {0: 18924, 40: 81076}, ('TwoOneTwoConsecutive', 6, 7): {40: 86613, 0: 13387}, ('TwoOneTwoConsecutive', 6, 8): {40: 90866, 0: 9134}, ('TwoOneTwoConsecutive', 7, 1): {0: 84168, 40: 15832}, ('TwoOneTwoConsecutive', 7, 2): {0: 52659, 40: 47341}, ('TwoOneTwoConsecutive', 7, 3): {40: 69565, 0: 30435}, ('TwoOneTwoConsecutive', 7, 4): {40: 82523, 0: 17477}, ('TwoOneTwoConsecutive', 7, 5): {40: 90218, 0: 9782}, ('TwoOneTwoConsecutive', 7, 6): {40: 94684, 0: 5316}, ('TwoOneTwoConsecutive', 7, 7): {40: 97005, 0: 2995}, ('TwoOneTwoConsecutive', 7, 8): {40: 98311, 0: 1689}, ('TwoOneTwoConsecutive', 8, 1): {0: 71089, 40: 28911}, ('TwoOneTwoConsecutive', 8, 2): {0: 33784, 40: 66216}, ('TwoOneTwoConsecutive', 8, 3): {40: 85180, 0: 14820}, ('TwoOneTwoConsecutive', 8, 4): {40: 93735, 0: 6265}, ('TwoOneTwoConsecutive', 8, 5): {40: 97400, 0: 2600}, ('TwoOneTwoConsecutive', 8, 6): {40: 98845, 0: 1155}, ('TwoOneTwoConsecutive', 8, 7): {40: 99513, 0: 487}, ('TwoOneTwoConsecutive', 8, 8): {40: 99810, 0: 190}, ('FiveDistinctDice', 1, 1): {0: 100000}, ('FiveDistinctDice', 1, 2): {0: 100000}, ('FiveDistinctDice', 1, 3): {0: 100000}, ('FiveDistinctDice', 1, 4): {0: 100000}, ('FiveDistinctDice', 1, 5): {0: 100000}, ('FiveDistinctDice', 1, 6): {0: 100000}, ('FiveDistinctDice', 1, 7): {0: 100000}, ('FiveDistinctDice', 1, 8): {0: 100000}, ('FiveDistinctDice', 2, 1): {0: 100000}, ('FiveDistinctDice', 2, 2): {0: 100000}, ('FiveDistinctDice', 2, 3): {0: 100000}, ('FiveDistinctDice', 2, 4): {0: 100000}, ('FiveDistinctDice', 2, 5): {0: 100000}, ('FiveDistinctDice', 2, 6): {0: 100000}, ('FiveDistinctDice', 2, 7): {0: 100000}, ('FiveDistinctDice', 2, 8): {0: 100000}, ('FiveDistinctDice', 3, 1): {0: 100000}, ('FiveDistinctDice', 3, 2): {0: 100000}, ('FiveDistinctDice', 3, 3): {0: 100000}, ('FiveDistinctDice', 3, 4): {0: 100000}, ('FiveDistinctDice', 3, 5): {0: 100000}, ('FiveDistinctDice', 3, 6): {0: 100000}, ('FiveDistinctDice', 3, 7): {0: 100000}, ('FiveDistinctDice', 3, 8): {0: 100000}, ('FiveDistinctDice', 4, 1): {0: 100000}, ('FiveDistinctDice', 4, 2): {0: 100000}, ('FiveDistinctDice', 4, 3): {0: 100000}, ('FiveDistinctDice', 4, 4): {0: 100000}, ('FiveDistinctDice', 4, 5): {0: 100000}, ('FiveDistinctDice', 4, 6): {0: 100000}, ('FiveDistinctDice', 4, 7): {0: 100000}, ('FiveDistinctDice', 4, 8): {0: 100000}, ('FiveDistinctDice', 5, 1): {0: 90907, 25: 9093}, ('FiveDistinctDice', 5, 2): {25: 31980, 0: 68020}, ('FiveDistinctDice', 5, 3): {0: 47692, 25: 52308}, ('FiveDistinctDice', 5, 4): {0: 32383, 25: 67617}, ('FiveDistinctDice', 5, 5): {25: 78369, 0: 21631}, ('FiveDistinctDice', 5, 6): {25: 85634, 0: 14366}, ('FiveDistinctDice', 5, 7): {25: 90432, 0: 9568}, ('FiveDistinctDice', 5, 8): {0: 6360, 25: 93640}, ('FiveDistinctDice', 6, 1): {0: 75051, 25: 24949}, ('FiveDistinctDice', 6, 2): {25: 61591, 0: 38409}, ('FiveDistinctDice', 6, 3): {25: 82495, 0: 17505}, ('FiveDistinctDice', 6, 4): {25: 92138, 0: 7862}, ('FiveDistinctDice', 6, 5): {25: 96462, 0: 3538}, ('FiveDistinctDice', 6, 6): {25: 98355, 0: 1645}, ('FiveDistinctDice', 6, 7): {25: 99286, 0: 714}, ('FiveDistinctDice', 6, 8): {25: 99659, 0: 341}, ('FiveDistinctDice', 7, 1): {0: 58588, 25: 41412}, ('FiveDistinctDice', 7, 2): {25: 80513, 0: 19487}, ('FiveDistinctDice', 7, 3): {25: 93957, 0: 6043}, ('FiveDistinctDice', 7, 4): {25: 98201, 0: 1799}, ('FiveDistinctDice', 7, 5): {25: 99456, 0: 544}, ('FiveDistinctDice', 7, 6): {25: 99831, 0: 169}, ('FiveDistinctDice', 7, 7): {25: 99941, 0: 59}, ('FiveDistinctDice', 7, 8): {25: 99989, 0: 11}, ('FiveDistinctDice', 8, 1): {0: 43586, 25: 56414}, ('FiveDistinctDice', 8, 2): {25: 90385, 0: 9615}, ('FiveDistinctDice', 8, 3): {25: 98056, 0: 1944}, ('FiveDistinctDice', 8, 4): {25: 99617, 0: 383}, ('FiveDistinctDice', 8, 5): {25: 99923, 0: 77}, ('FiveDistinctDice', 8, 6): {25: 99982, 0: 18}, ('FiveDistinctDice', 8, 7): {25: 99997, 0: 3}, ('FiveDistinctDice', 8, 8): {25: 99998, 0: 2}, ('FourAndFiveFullHouse', 1, 1): {0: 100000}, ('FourAndFiveFullHouse', 1, 2): {0: 100000}, ('FourAndFiveFullHouse', 1, 3): {0: 100000}, ('FourAndFiveFullHouse', 1, 4): {0: 100000}, ('FourAndFiveFullHouse', 1, 5): {0: 100000}, ('FourAndFiveFullHouse', 1, 6): {0: 100000}, ('FourAndFiveFullHouse', 1, 7): {0: 100000}, ('FourAndFiveFullHouse', 1, 8): {0: 100000}, ('FourAndFiveFullHouse', 2, 1): {0: 100000}, ('FourAndFiveFullHouse', 2, 2): {0: 100000}, ('FourAndFiveFullHouse', 2, 3): {0: 100000}, ('FourAndFiveFullHouse', 2, 4): {0: 100000}, ('FourAndFiveFullHouse', 2, 5): {0: 100000}, ('FourAndFiveFullHouse', 2, 6): {0: 100000}, ('FourAndFiveFullHouse', 2, 7): {0: 100000}, ('FourAndFiveFullHouse', 2, 8): {0: 100000}, ('FourAndFiveFullHouse', 3, 1): {0: 100000}, ('FourAndFiveFullHouse', 3, 2): {0: 100000}, ('FourAndFiveFullHouse', 3, 3): {0: 100000}, ('FourAndFiveFullHouse', 3, 4): {0: 100000}, ('FourAndFiveFullHouse', 3, 5): {0: 100000}, ('FourAndFiveFullHouse', 3, 6): {0: 100000}, ('FourAndFiveFullHouse', 3, 7): {0: 100000}, ('FourAndFiveFullHouse', 3, 8): {0: 100000}, ('FourAndFiveFullHouse', 4, 1): {0: 100000}, ('FourAndFiveFullHouse', 4, 2): {0: 100000}, ('FourAndFiveFullHouse', 4, 3): {0: 100000}, ('FourAndFiveFullHouse', 4, 4): {0: 100000}, ('FourAndFiveFullHouse', 4, 5): {0: 100000}, ('FourAndFiveFullHouse', 4, 6): {0: 100000}, ('FourAndFiveFullHouse', 4, 7): {0: 100000}, ('FourAndFiveFullHouse', 4, 8): {0: 100000}, ('FourAndFiveFullHouse', 5, 1): {0: 99724, 50: 276}, ('FourAndFiveFullHouse', 5, 2): {0: 96607, 50: 3393}, ('FourAndFiveFullHouse', 5, 3): {0: 88788, 50: 11212}, ('FourAndFiveFullHouse', 5, 4): {0: 77799, 50: 22201}, ('FourAndFiveFullHouse', 5, 5): {50: 34203, 0: 65797}, ('FourAndFiveFullHouse', 5, 6): {50: 45452, 0: 54548}, ('FourAndFiveFullHouse', 5, 7): {50: 55102, 0: 44898}, ('FourAndFiveFullHouse', 5, 8): {50: 63119, 0: 36881}, ('FourAndFiveFullHouse', 6, 1): {0: 98841, 50: 1159}, ('FourAndFiveFullHouse', 6, 2): {0: 88680, 50: 11320}, ('FourAndFiveFullHouse', 6, 3): {50: 29785, 0: 70215}, ('FourAndFiveFullHouse', 6, 4): {50: 49199, 0: 50801}, ('FourAndFiveFullHouse', 6, 5): {50: 64244, 0: 35756}, ('FourAndFiveFullHouse', 6, 6): {50: 75302, 0: 24698}, ('FourAndFiveFullHouse', 6, 7): {50: 82855, 0: 17145}, ('FourAndFiveFullHouse', 6, 8): {50: 88154, 0: 11846}, ('FourAndFiveFullHouse', 7, 1): {0: 97090, 50: 2910}, ('FourAndFiveFullHouse', 7, 2): {50: 22560, 0: 77440}, ('FourAndFiveFullHouse', 7, 3): {50: 48628, 0: 51372}, ('FourAndFiveFullHouse', 7, 4): {50: 69434, 0: 30566}, ('FourAndFiveFullHouse', 7, 5): {50: 82134, 0: 17866}, ('FourAndFiveFullHouse', 7, 6): {50: 89479, 0: 10521}, ('FourAndFiveFullHouse', 7, 7): {50: 93796, 0: 6204}, ('FourAndFiveFullHouse', 7, 8): {50: 96330, 0: 3670}, ('FourAndFiveFullHouse', 8, 1): {0: 94172, 50: 5828}, ('FourAndFiveFullHouse', 8, 2): {0: 64693, 50: 35307}, ('FourAndFiveFullHouse', 8, 3): {0: 35293, 50: 64707}, ('FourAndFiveFullHouse', 8, 4): {50: 82251, 0: 17749}, ('FourAndFiveFullHouse', 8, 5): {50: 91260, 0: 8740}, ('FourAndFiveFullHouse', 8, 6): {50: 95450, 0: 4550}, ('FourAndFiveFullHouse', 8, 7): {50: 97782, 0: 2218}, ('FourAndFiveFullHouse', 8, 8): {50: 98916, 0: 1084}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index d05f4dc8719d..c24e8ac73fd4 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -38,7 +38,7 @@ class YachtDiceWorld(World): item_name_groups = ITEM_GROUPS - ap_world_version = "2.0" + ap_world_version = "2.0.2" def _get_yachtdice_data(self): return { From 8b558bde2646e0df025c3b54e2af1b9cdfdc455a Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 5 Jun 2024 17:49:34 +0200 Subject: [PATCH 029/127] Update setup_en.md --- worlds/yachtdice/docs/setup_en.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md index 8fcc3ee98910..f55de8bccb53 100644 --- a/worlds/yachtdice/docs/setup_en.md +++ b/worlds/yachtdice/docs/setup_en.md @@ -7,7 +7,7 @@ ## Playing the game Open the Yacht Dice website. There are two options: -- Download the latest release from [Yacht Dice Releases](https://github.com/spinerak/YachtDiceAP/releases) and unzip the Website.zip. Then open player.html in your browser. +- Download the latest release from [Yacht Dice Releases](https://github.com/spinerak/ArchipelagoYachtDice/releases) and unzip the Website.zip. Then open player.html in your browser. - Cruise over to the [Yacht Dice website](https://yacht-dice-ap.netlify.app/). This also works on mobile. If the website is not available, use the first option. The website has an offline play option to try out the game without having to generate a game first. From 7f2df9f9e7bccc925e8e8c8fb884e092e07ff253 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 5 Jun 2024 19:53:12 +0200 Subject: [PATCH 030/127] Update en_YachtDice.md --- worlds/yachtdice/docs/en_YachtDice.md | 25 +++++++++---------------- 1 file changed, 9 insertions(+), 16 deletions(-) diff --git a/worlds/yachtdice/docs/en_YachtDice.md b/worlds/yachtdice/docs/en_YachtDice.md index 3a20a5d57707..f45c5bcb9042 100644 --- a/worlds/yachtdice/docs/en_YachtDice.md +++ b/worlds/yachtdice/docs/en_YachtDice.md @@ -1,22 +1,15 @@ # Yacht Dice -Yacht Dice is a straightforward game, custom-made for Archipelago, where you cast your dice to chart a course for high scores, unlocking valuable treasures along the way. Discover more dice, extra rolls, multipliers, and unlockable categories to navigate the game's depths. Roll your way to victory by reaching the target score! +Welcome to Yacht Dice, the ultimate dice-rolling adventure in Archipelago! Cast your dice, chase high scores, and unlock valuable treasures. Discover new dice, extra rolls, multipliers, and special scoring categories to enhance your game. Roll your way to victory by reaching the target score! -## Where is the settings page? +## Understanding Location Checks +In Yacht Dice, location checks happen when you hit certain scores for the first time. The target score for your next location check is always displayed on the website. -The [player settings page for this game](../player-settings) contains all the options you need to configure and export a config file. +## Items and Their Effects +When you receive an item, it could be extra dice, extra rolls, score multipliers, or new scoring categories. These boosts help you sail towards higher scores and more loot. Other items include extra points, lore, and fun facts to enrich your journey. -## What is considered a location check in Yacht Dice? - -Location checks are reaching certain scores for the first time. The score target for the next check is shown on the website. - -## When the player receives an item, what happens? - -An item can either be extra dice, extra rolls, extra score multipliers or the unlock of a scoring category. -These items allow for sailing towards even higher scoress for even more loot. -There are other items too, like extra points, lore, fun facts etc. - -## What is the victory condition? - -Reaching the target score completes the game. There are options for setting the location of the target score. The target score is displayed on the website. +## Winning the Game +Victory in Yacht Dice is all about reaching the target score. You can set your own target score, which is displayed on the website. Once you hit it, you've conquered the game! +## How to Access Settings +Need to tweak your game? Head over to the [player settings page](../player-settings) for all your configuration options and to export your config file. From 3da552d1d3637f6e187249311d3b46d0619158fb Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 5 Jun 2024 23:01:02 +0200 Subject: [PATCH 031/127] Improve performance of add_distributions --- worlds/yachtdice/Rules.py | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 5a6c13e5a4f2..9eef89ba72ff 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -2,6 +2,7 @@ from BaseClasses import MultiWorld from .YachtWeights import yacht_weights import math +from collections import defaultdict category_mappings = { "Category Ones": "Ones", @@ -130,16 +131,14 @@ def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, di #function to add two discrete distribution. def add_distributions(dist1, dist2): - combined_dist = {} + combined_dist = defaultdict(float) for val1, prob1 in dist1.items(): for val2, prob2 in dist2.items(): - if int(val1 + val2) in combined_dist.keys(): - combined_dist[int(val1 + val2)] += prob1 * prob2 - else: - combined_dist[int(val1 + val2)] = prob1 * prob2 - return combined_dist + combined_dist[val1 + val2] += prob1 * prob2 + return dict(combined_dist) #function to take the maximum of 'times' i.i.d. dist1. + #I've tried using defaultdict but this made it slower. def max_dist(dist1, mults): new_dist = {0: 1} for mult in mults: From 260405469deaf53ca7c3f8983bb561dd4bef6c11 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 5 Jun 2024 23:48:47 +0200 Subject: [PATCH 032/127] Formatting style --- worlds/yachtdice/Items.py | 2 +- worlds/yachtdice/Locations.py | 2 +- worlds/yachtdice/Options.py | 16 +++--- worlds/yachtdice/Rules.py | 45 ++++++++-------- worlds/yachtdice/YachtWeights.py | 2 +- worlds/yachtdice/__init__.py | 88 ++++++++++++++++--------------- worlds/yachtdice/docs/setup_en.md | 2 +- 7 files changed, 79 insertions(+), 78 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index ec8a0ebea819..cc2f30e02813 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -73,7 +73,7 @@ class YachtDiceItem(Item): "100 Points": ItemData(16871244303, ItemClassification.progression) } -ITEM_GROUPS = { +item_groups = { "Score Multiplier": { "Score Multiplier", "Step Score Multiplier", diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index ee087c71c956..1bd091767be6 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -15,7 +15,7 @@ def __init__(self, player: int, name: str, score: int, address: typing.Optional[ self.event = not address all_locations = {} -starting_index = 16871244500 #500 more than the startin index for items +starting_index = 16871244500 #500 more than the starting index for items #Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 def all_locations_fun(max_score): diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 8d76ba4a7401..32eec57911e7 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -5,8 +5,8 @@ class gameDifficulty(Choice): """ Difficulty. This setting determines how difficult the scores are to achieve. Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. - Medium: intended difficulty. If you play smart, you'll finish the game without any trouble. - Hard: you'll need to play smart and be lucky. + Medium: intended difficulty. If you play smart, you will finish the game without any trouble. + Hard: you will need to play smart and be lucky. Extreme: really hard mode, which requires many brain wrinkles and insane luck. NOT RECOMMENDED FOR MULTIWORLDS. """ display_name = "Game difficulty" @@ -58,7 +58,7 @@ class numberDiceFragmentsPerDice(Range): Dice can be split into fragments, gathering enough will give you an extra dice. You start with one dice, and there will always be one full dice in the pool. The other dice are split into fragments, according to this setting. - Setting this to 1 fragment per dice just puts 'Dice' objects in the pool. + Setting this to 1 fragment per dice just puts "Dice" objects in the pool. """ display_name = "Number of dice fragments per dice" range_start = 1 @@ -70,7 +70,7 @@ class numberRollFragmentsPerRoll(Range): Rolls can be split into fragments, gathering enough will give you an extra roll. You start with one roll, and there will always be one full roll in the pool. The other three rolls are split into fragments, according to this setting. - Setting this to 1 fragment per roll just puts 'Roll' objects in the pool. + Setting this to 1 fragment per roll just puts "Roll" objects in the pool. """ display_name = "Number of roll fragments per roll" range_start = 1 @@ -110,7 +110,7 @@ class chanceOfDice(Range): class chanceOfRoll(Range): """ - With more rolls, you'll be able to reach higher scores. + With more rolls, you will be able to reach higher scores. """ display_name = "Weight of adding Roll" range_start = 0 @@ -187,7 +187,7 @@ class addExtraPoints(Choice): all_of_it: fill all locations with extra points sure: put some bonus points in - never: don't put any bonus points + never: do not put any bonus points """ display_name = "Extra bonus in the pool" option_all_of_it = 1 @@ -199,11 +199,11 @@ class addStoryChapters(Choice): """ Yacht Dice typically has space for more items. If there is space, would you like story chapters shuffled in the item pool? - Note: if you have extra points on "all_of_it", there won't be story chapters. + Note: if you have extra points on "all_of_it", there will not be story chapters. all_of_it: fill all locations with story chapters sure: if there is space left, put in 10 story chapters. - never: don't put any story chapters, I don't like reading (but I'm glad you're reading THIS!) + never: do not put any story chapters, I do not like reading (but I am glad you are reading THIS!) """ display_name = "Extra story chapters in the pool" option_all_of_it = 1 diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 9eef89ba72ff..42f83afc4b24 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -56,17 +56,17 @@ def __init__(self, name, quantity = 1): self.quantity = quantity #how many times you have the category #return mean score of a category - def meanScore(self, nbDice, nbRolls): - if nbDice == 0 or nbRolls == 0: + def mean_score(self, num_dice, num_rolls): + if num_dice == 0 or num_rolls == 0: return 0 - meanScore = 0 - for key in yacht_weights[self.name, min(8,nbDice), min(8,nbRolls)]: - meanScore += key*yacht_weights[self.name, min(8,nbDice), min(8,nbRolls)][key]/100000 - return meanScore * self.quantity + mean_score = 0 + for key in yacht_weights[self.name, min(8,num_dice), min(8,num_rolls)]: + mean_score += key*yacht_weights[self.name, min(8,num_dice), min(8,num_rolls)][key]/100000 + return mean_score * self.quantity -def extractProgression(state, player, options): +def extract_progression(state, player, options): #method to obtain a list of what items the player has. #this includes categories, dice, rolls and score multiplier. @@ -118,16 +118,16 @@ def extractProgression(state, player, options): yachtdice_cache = {} #Function that returns the feasible score in logic based on items obtained. -def diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, diff): +def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff): tup = tuple([tuple(sorted([c.name+str(c.quantity) for c in categories])), - nbDice, nbRolls, fixed_mult, step_mult, diff]) #identifier + num_dice, num_rolls, fixed_mult, step_mult, diff]) #identifier #if already computed, return the result if tup in yachtdice_cache.keys(): return yachtdice_cache[tup] #sort categories because for the step multiplier, you will want low-scorig categories first - categories.sort(key=lambda category: category.meanScore(nbDice, nbRolls)) + categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) #function to add two discrete distribution. def add_distributions(dist1, dist2): @@ -137,8 +137,8 @@ def add_distributions(dist1, dist2): combined_dist[val1 + val2] += prob1 * prob2 return dict(combined_dist) - #function to take the maximum of 'times' i.i.d. dist1. - #I've tried using defaultdict but this made it slower. + #function to take the maximum of "times" i.i.d. dist1. + #I have tried using defaultdict but this made it slower. def max_dist(dist1, mults): new_dist = {0: 1} for mult in mults: @@ -173,23 +173,22 @@ def percentile_distribution(dist, percentile): return prev_val if prev_val is not None else sorted_values[0] - percReturn = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] - diffDivide = [0, 9, 7, 3, 2][diff] + perc_return = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] + diff_divide = [0, 9, 7, 3, 2][diff] - #calculate total distribution total_dist = {0: 1} for j in range(len(categories)): - if nbDice == 0 or nbRolls == 0: + if num_dice == 0 or num_rolls == 0: dist = {0: 100000} else: - dist = yacht_weights[categories[j].name, min(8,nbDice), min(8,nbRolls)].copy() + dist = yacht_weights[categories[j].name, min(8,num_dice), min(8,num_rolls)].copy() for key in dist.keys(): dist[key] /= 100000 cat_mult = 2 ** (categories[j].quantity-1) - max_tries = j // diffDivide + max_tries = j // diff_divide mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0,j - max_tries), j+1)] #for higher difficulties, the simulation gets multiple tries for categories. @@ -198,13 +197,13 @@ def percentile_distribution(dist, percentile): total_dist = add_distributions(total_dist, dist) #save result into the cache, then return it - yachtdice_cache[tup] = math.floor(sum([percentile_distribution(total_dist, perc) for perc in percReturn]) / len(percReturn)) + yachtdice_cache[tup] = math.floor(sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return)) return yachtdice_cache[tup] # Returns the feasible score that one can reach with the current state, options and difficulty. -def diceSimulation(state, player, options): - categories, nbDice, nbRolls, fixed_mult, step_mult, expoints = extractProgression(state, player, options) - return diceSimulationStrings(categories, nbDice, nbRolls, fixed_mult, step_mult, +def dice_simulation(state, player, options): + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) + return dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value) + expoints # Sets rules on entrances and advancements that are always applied @@ -214,7 +213,7 @@ def set_yacht_rules(world: MultiWorld, player: int, options): lambda state, curscore=l.yacht_dice_score, player=player: - diceSimulation(state, player, options) >= curscore) + dice_simulation(state, player, options) >= curscore) # Sets rules on completion condition def set_yacht_completion_rules(world: MultiWorld, player: int): diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 625d4715a75b..0add2bd8df6e 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -5,4 +5,4 @@ #example: ("Choice", 2, 2): {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} #this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. #13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("Twos", 0, 0): {0: 100000}, ("Twos", 0, 1): {0: 100000}, ("Twos", 0, 2): {0: 100000}, ("Twos", 0, 3): {0: 100000}, ("Twos", 0, 4): {0: 100000}, ("Twos", 0, 5): {0: 100000}, ("Twos", 0, 6): {0: 100000}, ("Twos", 0, 7): {0: 100000}, ("Twos", 0, 8): {0: 100000}, ("Twos", 1, 0): {0: 100000}, ("Twos", 1, 1): {0: 83475, 2: 16525}, ("Twos", 1, 2): {0: 69690, 2: 30310}, ("Twos", 1, 3): {0: 57818, 2: 42182}, ("Twos", 1, 4): {0: 48418, 2: 51582}, ("Twos", 1, 5): {2: 59699, 0: 40301}, ("Twos", 1, 6): {2: 66442, 0: 33558}, ("Twos", 1, 7): {2: 71818, 0: 28182}, ("Twos", 1, 8): {0: 23406, 2: 76594}, ("Twos", 2, 0): {0: 100000}, ("Twos", 2, 1): {0: 69724, 2: 27485, 4: 2791}, ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, ("Twos", 2, 4): {2: 49957, 4: 26907, 0: 23136}, ("Twos", 2, 5): {4: 35654, 2: 48200, 0: 16146}, ("Twos", 2, 6): {4: 44420, 2: 44497, 0: 11083}, ("Twos", 2, 7): {4: 51995, 2: 40343, 0: 7662}, ("Twos", 2, 8): {4: 59120, 2: 35526, 0: 5354}, ("Twos", 3, 0): {0: 100000}, ("Twos", 3, 1): {2: 34522, 0: 58021, 4: 6995, 6: 462}, ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 19358, 6: 2833}, ("Twos", 3, 3): {2: 42372, 4: 30748, 0: 19375, 6: 7505}, ("Twos", 3, 4): {6: 13998, 4: 38569, 2: 36435, 0: 10998}, ("Twos", 3, 5): {4: 43283, 2: 28838, 6: 21360, 0: 6519}, ("Twos", 3, 6): {6: 29650, 4: 44233, 2: 22498, 0: 3619}, ("Twos", 3, 7): {6: 37142, 2: 16979, 4: 43684, 0: 2195}, ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, ("Twos", 4, 0): {0: 100000}, ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, ("Twos", 5, 0): {0: 100000}, ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 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("FullHouse", 7, 4): {25: 98294, 0: 1706}, ("FullHouse", 7, 5): {25: 99478, 0: 522}, ("FullHouse", 7, 6): {25: 99854, 0: 146}, ("FullHouse", 7, 7): {25: 99946, 0: 54}, ("FullHouse", 7, 8): {25: 99982, 0: 18}, ("FullHouse", 8, 0): {0: 100000}, ("FullHouse", 8, 1): {0: 35909, 25: 64091}, ("FullHouse", 8, 2): {25: 94288, 0: 5712}, ("FullHouse", 8, 3): {25: 99070, 0: 930}, ("FullHouse", 8, 4): {25: 99835, 0: 165}, ("FullHouse", 8, 5): {25: 99981, 0: 19}, ("FullHouse", 8, 6): {25: 99994, 0: 6}, ("FullHouse", 8, 7): {25: 100000}, ("FullHouse", 8, 8): {25: 100000}, ("Yacht", 0, 0): {0: 100000}, ("Yacht", 0, 1): {0: 100000}, ("Yacht", 0, 2): {0: 100000}, ("Yacht", 0, 3): {0: 100000}, ("Yacht", 0, 4): {0: 100000}, ("Yacht", 0, 5): {0: 100000}, ("Yacht", 0, 6): {0: 100000}, ("Yacht", 0, 7): {0: 100000}, ("Yacht", 0, 8): {0: 100000}, ("Yacht", 1, 0): {0: 100000}, ("Yacht", 1, 1): {0: 100000}, ("Yacht", 1, 2): {0: 100000}, ("Yacht", 1, 3): {0: 100000}, ("Yacht", 1, 4): {0: 100000}, ("Yacht", 1, 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('Distincts', 3, 3): {3: 95134, 2: 4865, 1: 1}, ('Distincts', 3, 4): {3: 98341, 2: 1659}, ('Distincts', 3, 5): {3: 99425, 2: 575}, ('Distincts', 3, 6): {3: 99800, 2: 200}, ('Distincts', 3, 7): {3: 99931, 2: 69}, ('Distincts', 3, 8): {3: 99978, 2: 22}, ('Distincts', 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, ('Distincts', 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, ('Distincts', 4, 3): {4: 80139, 3: 19631, 2: 230}, ('Distincts', 4, 4): {4: 90121, 3: 9858, 2: 21}, ('Distincts', 4, 5): {4: 95094, 3: 4904, 2: 2}, ('Distincts', 4, 6): {4: 97506, 3: 2494}, ('Distincts', 4, 7): {4: 98703, 3: 1297}, ('Distincts', 4, 8): {4: 99389, 3: 611}, ('Distincts', 5, 1): {4: 46379, 5: 9285, 3: 38538, 2: 5717, 1: 81}, ('Distincts', 5, 2): {4: 56472, 5: 31685, 3: 11647, 2: 196}, ('Distincts', 5, 3): {4: 44724, 5: 52254, 3: 3016, 2: 6}, ('Distincts', 5, 4): {4: 31632, 5: 67646, 3: 722}, ('Distincts', 5, 5): {5: 78394, 4: 21391, 3: 215}, ('Distincts', 5, 6): {5: 85475, 4: 14470, 3: 55}, ('Distincts', 5, 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3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ('TwosAndThrees', 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ('TwosAndThrees', 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 4: 2}, ('TwosAndThrees', 7, 1): {8: 10304, 0: 5802, 2: 10380, 11: 3830, 7: 9559, 10: 5017, 5: 15384, 4: 7689, 3: 10100, 9: 6289, 13: 1211, 6: 11027, 12: 2088, 14: 735, 15: 309, 16: 177, 17: 59, 19: 11, 18: 27, 20: 2}, ('TwosAndThrees', 7, 2): {10: 6466, 0: 1605, 8: 13172, 7: 5824, 11: 9919, 13: 3610, 9: 11600, 14: 4206, 2: 2810, 6: 11269, 5: 9442, 12: 6844, 15: 2299, 3: 6242, 17: 923, 16: 966, 4: 2215, 18: 376, 19: 114, 20: 76, 21: 22}, ('TwosAndThrees', 7, 3): {6: 8288, 7: 2641, 3: 2956, 9: 13017, 8: 10013, 14: 8279, 16: 2082, 12: 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12: 11960, 15: 13098, 16: 4254, 11: 8286, 9: 6908, 20: 3995, 21: 3323, 14: 11359, 10: 2363, 18: 8743, 13: 4118, 19: 2217, 8: 3661, 24: 520, 7: 648, 6: 2558, 23: 768, 22: 471, 3: 518, 2: 97, 5: 884, 4: 75, 0: 43}, ('TwosAndThrees', 8, 5): {21: 7245, 13: 2524, 16: 3469, 12: 9934, 11: 5061, 17: 10743, 15: 14970, 18: 14072, 24: 1671, 14: 9578, 10: 1007, 20: 6621, 6: 1110, 9: 4201, 19: 2728, 23: 1727, 8: 1714, 22: 848, 5: 316, 3: 188, 7: 211, 0: 16, 2: 16, 4: 30}, ('TwosAndThrees', 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ('TwosAndThrees', 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ('TwosAndThrees', 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ('SumOfOdds', 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ('SumOfOdds', 1, 2): {0: 33472, 3: 27886, 1: 11017, 5: 27625}, ('SumOfOdds', 1, 3): {0: 27892, 5: 39809, 1: 9293, 3: 23006}, ('SumOfOdds', 1, 4): {3: 19299, 5: 49784, 0: 23060, 1: 7857}, ('SumOfOdds', 1, 5): {5: 58167, 3: 15941, 1: 6559, 0: 19333}, ('SumOfOdds', 1, 6): {5: 65098, 0: 16250, 1: 5428, 3: 13224}, ('SumOfOdds', 1, 7): {5: 70969, 3: 11191, 0: 13420, 1: 4420}, ('SumOfOdds', 1, 8): {5: 75949, 0: 11042, 3: 9361, 1: 3648}, ('SumOfOdds', 2, 1): {5: 16856, 8: 5540, 6: 8312, 4: 5580, 0: 24611, 1: 16800, 3: 16654, 2: 2815, 10: 2832}, ('SumOfOdds', 2, 2): {8: 15414, 3: 18386, 6: 13858, 0: 11216, 4: 6190, 5: 18558, 10: 7773, 1: 7355, 2: 1250}, ('SumOfOdds', 2, 3): {1: 5252, 6: 12709, 3: 12782, 8: 18363, 5: 22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ('SumOfOdds', 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ('SumOfOdds', 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 33791, 8: 18712, 2: 415, 6: 10020, 1: 2502}, ('SumOfOdds', 2, 6): {0: 2606, 8: 17272, 6: 8852, 10: 42502, 3: 4279, 5: 20970, 1: 1769, 4: 1468, 2: 282}, ('SumOfOdds', 2, 7): {5: 19160, 8: 15860, 6: 7664, 10: 50054, 1: 1225, 3: 2939, 4: 1039, 0: 1872, 2: 187}, ('SumOfOdds', 2, 8): {5: 16853, 8: 14179, 10: 57618, 3: 2121, 6: 6400, 1: 781, 0: 1230, 4: 671, 2: 147}, ('SumOfOdds', 3, 1): {4: 8109, 5: 13902, 2: 4149, 8: 8321, 6: 12607, 1: 12587, 7: 2743, 3: 12861, 0: 12467, 9: 3339, 10: 4223, 11: 2801, 15: 479, 13: 1412}, ('SumOfOdds', 3, 2): {8: 15592, 1: 3633, 5: 10240, 13: 6362, 3: 9469, 10: 7709, 15: 2120, 6: 13852, 11: 9070, 9: 7284, 4: 6110, 7: 3557, 0: 3750, 2: 1252}, ('SumOfOdds', 3, 3): {6: 10744, 10: 13273, 7: 2564, 8: 15277, 3: 5427, 13: 11044, 11: 10759, 5: 9729, 15: 6204, 1: 2180, 9: 6354, 4: 3603, 0: 2140, 2: 702}, ('SumOfOdds', 3, 4): {8: 13319, 6: 7837, 11: 11288, 9: 5211, 13: 14216, 15: 12408, 4: 2122, 3: 3247, 10: 17343, 7: 1738, 5: 8380, 1: 1212, 0: 1265, 2: 414}, ('SumOfOdds', 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ('SumOfOdds', 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ('SumOfOdds', 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ('SumOfOdds', 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ('SumOfOdds', 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 299, 20: 78}, ('SumOfOdds', 4, 2): {7: 4928, 20: 589, 9: 9721, 14: 5301, 18: 2447, 13: 8342, 10: 7201, 4: 4099, 8: 11060, 15: 2925, 6: 9467, 3: 4253, 11: 11978, 12: 3975, 1: 1599, 16: 4530, 5: 5463, 0: 1267, 2: 855}, ('SumOfOdds', 4, 3): {15: 7108, 8: 9018, 10: 8843, 20: 2524, 18: 5690, 16: 7373, 9: 7238, 11: 11998, 12: 3466, 13: 12173, 14: 5857, 4: 2033, 6: 5991, 1: 817, 2: 382, 3: 2070, 5: 4051, 0: 579, 7: 2789}, ('SumOfOdds', 4, 4): {5: 2645, 14: 5928, 8: 6372, 11: 10474, 13: 13555, 12: 2765, 16: 9426, 15: 11453, 18: 9512, 10: 8758, 6: 3695, 20: 6196, 4: 912, 2: 187, 9: 4810, 3: 1009, 0: 295, 7: 1637, 1: 371}, ('SumOfOdds', 4, 5): {20: 11573, 11: 8461, 15: 15171, 8: 4270, 16: 10401, 13: 12479, 18: 12704, 14: 5099, 10: 8159, 6: 2313, 9: 3010, 5: 1893, 12: 2054, 4: 520, 7: 932, 1: 194, 3: 528, 0: 136, 2: 103}, ('SumOfOdds', 4, 6): {14: 4251, 10: 7130, 15: 17784, 11: 6594, 20: 17780, 18: 14865, 13: 11039, 16: 10571, 8: 2849, 9: 1928, 6: 1369, 12: 1509, 7: 583, 5: 1123, 0: 75, 3: 225, 4: 198, 1: 84, 2: 43}, ('SumOfOdds', 4, 7): 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2861, 21: 4463, 12: 4910, 3: 715, 19: 4741, 25: 1017, 20: 3505, 17: 3498, 4: 938, 1: 292, 2: 179, 0: 173}, ('SumOfOdds', 5, 4): {15: 8218, 10: 4157, 11: 6088, 21: 7049, 6: 1464, 18: 10977, 9: 2814, 12: 3036, 17: 3222, 23: 5968, 16: 10748, 13: 8276, 19: 5463, 20: 7264, 14: 6799, 3: 322, 8: 2685, 7: 929, 25: 3023, 5: 899, 4: 353, 0: 60, 2: 65, 1: 121}, ('SumOfOdds', 5, 5): {23: 9242, 21: 8982, 18: 12099, 16: 9890, 13: 6376, 14: 5000, 7: 416, 15: 8283, 25: 6730, 10: 2969, 20: 11138, 19: 5449, 11: 4198, 17: 2686, 8: 1446, 6: 749, 9: 1508, 12: 1961, 5: 490, 4: 169, 3: 124, 2: 23, 1: 40, 0: 32}, ('SumOfOdds', 5, 6): {16: 8471, 14: 3473, 15: 7862, 20: 14372, 18: 11813, 23: 11945, 13: 4540, 25: 11854, 17: 2176, 21: 9884, 19: 5053, 7: 214, 11: 2724, 10: 2039, 12: 1252, 5: 265, 8: 764, 9: 796, 6: 351, 3: 52, 0: 14, 4: 51, 2: 10, 1: 25}, ('SumOfOdds', 5, 7): {21: 10043, 15: 6797, 18: 10646, 20: 17146, 16: 6743, 23: 14100, 25: 18070, 14: 2413, 13: 3129, 17: 1582, 11: 1707, 19: 4232, 10: 1317, 12: 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{33: 9446, 35: 6507, 29: 6546, 34: 4622, 32: 2924, 27: 3588, 38: 5286, 31: 9459, 22: 1931, 26: 6417, 36: 5901, 28: 7465, 23: 3410, 25: 4312, 19: 1215, 30: 7060, 21: 2361, 24: 3816, 40: 3186, 14: 226, 20: 1581, 18: 966, 17: 543, 15: 328, 16: 546, 10: 30, 13: 153, 12: 62, 11: 57, 7: 3, 8: 20, 6: 8, 9: 22, 5: 2, 4: 1}, ('SumOfOdds', 8, 7): {23: 2239, 35: 9851, 31: 9499, 33: 10568, 28: 6608, 30: 7550, 36: 7726, 26: 4869, 38: 8073, 40: 6294, 34: 5082, 27: 2522, 18: 452, 29: 5348, 20: 945, 22: 1065, 32: 2682, 15: 157, 24: 2332, 25: 3456, 21: 1439, 13: 69, 19: 568, 16: 238, 17: 211, 12: 16, 8: 2, 9: 9, 14: 86, 10: 14, 11: 27, 6: 2, 7: 1}, ('SumOfOdds', 8, 8): {35: 12876, 38: 10622, 33: 11230, 40: 11063, 36: 8889, 29: 3977, 34: 4830, 31: 8466, 30: 7469, 28: 5138, 23: 1371, 16: 110, 24: 1483, 22: 581, 21: 792, 25: 2461, 20: 523, 27: 1712, 32: 2248, 14: 30, 26: 3464, 17: 87, 19: 278, 18: 198, 9: 4, 15: 54, 12: 11, 13: 20, 4: 1, 8: 2, 11: 9, 10: 1}, ('SumOfEvens', 1, 1): {4: 16854, 0: 49585, 6: 16828, 2: 16733}, ('SumOfEvens', 1, 2): {0: 33244, 6: 27644, 4: 28025, 2: 11087}, ('SumOfEvens', 1, 3): {6: 35384, 4: 35040, 0: 22259, 2: 7317}, ('SumOfEvens', 1, 4): {6: 45838, 4: 29418, 0: 18511, 2: 6233}, ('SumOfEvens', 1, 5): {4: 24510, 6: 54916, 2: 5146, 0: 15428}, ('SumOfEvens', 1, 6): {6: 62703, 4: 20115, 2: 4255, 0: 12927}, ('SumOfEvens', 1, 7): {0: 10650, 6: 68761, 4: 17087, 2: 3502}, ('SumOfEvens', 1, 8): {0: 8911, 6: 73853, 4: 14227, 2: 3009}, ('SumOfEvens', 2, 1): {4: 19538, 0: 25229, 10: 5607, 2: 16545, 6: 21987, 8: 8263, 12: 2831}, ('SumOfEvens', 2, 2): {6: 24451, 10: 15400, 4: 19661, 8: 13966, 12: 7840, 0: 11179, 2: 7503}, ('SumOfEvens', 2, 3): {10: 24736, 8: 17887, 12: 12277, 6: 20647, 4: 16354, 0: 4850, 2: 3249}, ('SumOfEvens', 2, 4): {10: 26976, 6: 20711, 4: 11219, 12: 21117, 0: 3419, 8: 14290, 2: 2268}, ('SumOfEvens', 2, 5): {8: 11641, 6: 19247, 4: 7910, 12: 30369, 10: 26842, 0: 2376, 2: 1615}, ('SumOfEvens', 2, 6): {6: 17810, 12: 39086, 8: 9468, 10: 25582, 4: 5313, 0: 1649, 2: 1092}, ('SumOfEvens', 2, 7): {12: 47388, 10: 23307, 6: 15965, 8: 7645, 4: 3790, 0: 1122, 2: 783}, ('SumOfEvens', 2, 8): {12: 54703, 10: 20879, 8: 6462, 6: 14006, 4: 2618, 2: 538, 0: 794}, ('SumOfEvens', 3, 1): {2: 12516, 0: 12538, 4: 16530, 8: 13745, 10: 11209, 6: 21270, 14: 2828, 16: 1389, 12: 7524, 18: 451}, ('SumOfEvens', 3, 2): {10: 18955, 12: 15021, 4: 10459, 16: 6476, 14: 8937, 8: 15032, 2: 3738, 6: 15644, 0: 3666, 18: 2072}, ('SumOfEvens', 3, 3): {8: 12295, 6: 8576, 4: 5572, 10: 20247, 18: 4316, 14: 15953, 12: 18001, 16: 12864, 2: 1093, 0: 1083}, ('SumOfEvens', 3, 4): {12: 18975, 4: 3238, 8: 8218, 10: 17232, 0: 642, 14: 15832, 16: 18749, 18: 9594, 6: 6844, 2: 676}, ('SumOfEvens', 3, 5): {16: 21954, 12: 19533, 14: 14402, 10: 13927, 18: 16784, 8: 5720, 6: 5105, 4: 1825, 2: 377, 0: 373}, ('SumOfEvens', 3, 6): {16: 23882, 14: 12940, 18: 24491, 12: 19070, 10: 10614, 8: 3796, 6: 3732, 4: 1064, 0: 195, 2: 216}, ('SumOfEvens', 3, 7): {18: 32287, 16: 24254, 12: 18146, 10: 8145, 8: 2534, 6: 2787, 14: 10985, 4: 613, 0: 126, 2: 123}, ('SumOfEvens', 3, 8): {12: 16926, 10: 5777, 18: 40557, 14: 9402, 16: 23114, 8: 1718, 6: 2012, 0: 68, 4: 356, 2: 70}, ('SumOfEvens', 4, 1): {8: 15427, 4: 12405, 14: 6828, 0: 6214, 10: 14158, 12: 11354, 16: 4295, 6: 17434, 2: 8516, 18: 2141, 20: 798, 22: 338, 24: 92}, ('SumOfEvens', 4, 2): {12: 15715, 14: 14104, 10: 15154, 18: 8084, 8: 10702, 16: 12485, 2: 1632, 0: 1236, 22: 2382, 20: 4536, 4: 4894, 6: 8468, 24: 608}, ('SumOfEvens', 4, 3): {14: 16224, 16: 17484, 20: 10518, 22: 6099, 18: 13847, 8: 5715, 2: 312, 10: 10269, 4: 1646, 24: 1611, 12: 12879, 6: 3135, 0: 261}, ('SumOfEvens', 4, 4): {14: 12763, 16: 17947, 20: 13338, 4: 842, 22: 11215, 18: 16566, 12: 10298, 8: 3179, 10: 7096, 24: 4534, 6: 1945, 2: 159, 0: 118}, ('SumOfEvens', 4, 5): {24: 9273, 16: 16546, 10: 4716, 22: 16111, 20: 14172, 18: 18045, 14: 9638, 12: 8022, 6: 1181, 4: 395, 8: 1765, 0: 56, 2: 80}, ('SumOfEvens', 4, 6): {6: 734, 22: 20013, 18: 18805, 14: 7068, 20: 13848, 24: 15118, 16: 14021, 12: 6097, 10: 3003, 8: 1036, 4: 192, 0: 31, 2: 34}, ('SumOfEvens', 4, 7): {22: 21947, 16: 11590, 20: 12601, 24: 22395, 18: 18952, 12: 4654, 6: 400, 14: 4930, 10: 1826, 8: 583, 2: 26, 4: 80, 0: 16}, ('SumOfEvens', 4, 8): {22: 23056, 18: 18203, 14: 3386, 20: 11505, 24: 29714, 16: 8943, 12: 3395, 10: 1156, 8: 314, 6: 243, 4: 63, 2: 15, 0: 7}, ('SumOfEvens', 5, 1): {16: 7574, 10: 14656, 4: 8648, 12: 13468, 2: 5181, 18: 4873, 14: 10245, 0: 3192, 24: 605, 6: 13373, 20: 2581, 8: 13964, 26: 198, 28: 69, 22: 1363, 30: 10}, ('SumOfEvens', 5, 2): {16: 14674, 20: 9742, 12: 12184, 14: 13824, 18: 12124, 10: 9910, 6: 4054, 24: 4025, 22: 6877, 26: 2056, 8: 6336, 0: 405, 28: 808, 4: 2149, 2: 663, 30: 169}, ('SumOfEvens', 5, 3): {20: 15282, 10: 4446, 24: 9361, 16: 13128, 26: 5826, 12: 6558, 14: 10339, 8: 2217, 18: 14686, 22: 13294, 30: 532, 6: 1037, 28: 2644, 4: 501, 2: 88, 0: 61}, ('SumOfEvens', 5, 4): {24: 12896, 28: 6646, 18: 12724, 20: 14710, 16: 10437, 22: 16005, 26: 9761, 12: 4093, 14: 6555, 10: 2340, 4: 222, 30: 2105, 0: 18, 6: 471, 8: 992, 2: 25}, ('SumOfEvens', 5, 5): {24: 15490, 18: 10297, 16: 7635, 22: 16826, 28: 11323, 20: 12344, 26: 12235, 14: 4006, 30: 5102, 8: 464, 6: 259, 10: 1369, 12: 2559, 2: 12, 0: 7, 4: 72}, ('SumOfEvens', 5, 6): {24: 17286, 28: 15274, 16: 5274, 30: 9604, 18: 8224, 26: 13565, 22: 16041, 14: 2381, 20: 9688, 10: 671, 12: 1618, 8: 212, 6: 124, 4: 29, 2: 5, 0: 4}, ('SumOfEvens', 5, 7): {26: 13349, 20: 7478, 22: 13863, 16: 3465, 30: 15365, 24: 18114, 28: 19048, 18: 6367, 14: 1478, 6: 52, 12: 973, 8: 102, 10: 330, 4: 12, 0: 3, 2: 1}, ('SumOfEvens', 5, 8): {28: 21211, 30: 22142, 26: 12500, 24: 18376, 22: 11699, 20: 5406, 18: 4912, 14: 771, 16: 2197, 12: 537, 10: 172, 6: 22, 8: 45, 4: 9, 0: 1}, ('SumOfEvens', 6, 1): {12: 13855, 8: 11527, 6: 9535, 14: 12217, 10: 13220, 18: 7641, 20: 5155, 4: 5715, 16: 10036, 2: 3110, 22: 3134, 24: 1769, 0: 1657, 26: 882, 28: 364, 32: 46, 30: 125, 34: 9, 36: 3}, ('SumOfEvens', 6, 2): {16: 12112, 14: 10495, 18: 12962, 20: 12458, 22: 10842, 4: 936, 30: 1777, 12: 8107, 10: 5781, 24: 8362, 28: 3560, 26: 5714, 8: 3286, 34: 279, 6: 1999, 0: 149, 32: 841, 2: 295, 36: 45}, ('SumOfEvens', 6, 3): {34: 1114, 26: 11930, 28: 8967, 16: 7714, 18: 10098, 22: 13809, 24: 13594, 20: 12628, 10: 1732, 12: 3009, 30: 5778, 32: 3126, 14: 5066, 8: 774, 6: 309, 36: 205, 4: 127, 2: 12, 0: 8}, ('SumOfEvens', 6, 4): {16: 4678, 26: 13991, 20: 9551, 24: 13471, 18: 6764, 32: 6534, 4: 36, 34: 3599, 28: 12906, 22: 12530, 30: 9662, 10: 774, 14: 2613, 12: 1479, 36: 987, 2: 13, 8: 287, 6: 122, 0: 3}, ('SumOfEvens', 6, 5): {32: 9788, 24: 11810, 34: 7399, 30: 12927, 26: 13874, 28: 15232, 16: 2702, 18: 4392, 20: 6604, 22: 9916, 36: 2699, 14: 1416, 12: 740, 10: 322, 6: 51, 8: 108, 4: 15, 0: 2, 2: 3}, ('SumOfEvens', 6, 6): {26: 11838, 22: 7418, 30: 15534, 34: 11679, 36: 5973, 24: 9870, 28: 15982, 20: 4214, 32: 12014, 18: 2686, 12: 322, 10: 156, 8: 52, 14: 664, 16: 1568, 6: 26, 4: 2, 2: 1, 0: 1}, ('SumOfEvens', 6, 7): {30: 17083, 28: 15301, 22: 5154, 26: 9426, 32: 13001, 20: 2576, 34: 15604, 24: 8221, 36: 10524, 18: 1673, 16: 848, 14: 336, 12: 179, 10: 53, 6: 9, 8: 11, 4: 1}, ('SumOfEvens', 6, 8): {22: 3449, 36: 16329, 26: 7209, 32: 12842, 30: 18101, 34: 18840, 28: 13662, 20: 1500, 24: 6361, 18: 984, 16: 453, 14: 154, 12: 87, 10: 22, 8: 4, 4: 1, 6: 2}, ('SumOfEvens', 7, 1): {8: 8939, 24: 3564, 16: 11578, 12: 12690, 10: 11183, 18: 9725, 4: 3653, 6: 6451, 20: 7614, 14: 12463, 30: 591, 22: 5306, 28: 1178, 26: 2087, 32: 276, 0: 780, 2: 1804, 34: 79, 38: 9, 36: 28, 42: 1, 40: 1}, ('SumOfEvens', 7, 2): {20: 11747, 22: 12101, 18: 10694, 30: 4969, 34: 1637, 12: 4933, 28: 7140, 10: 3020, 16: 9103, 14: 7121, 26: 9407, 40: 95, 32: 2990, 24: 10947, 8: 1631, 6: 866, 36: 742, 38: 279, 4: 405, 2: 118, 0: 44, 42: 11}, ('SumOfEvens', 7, 3): {28: 12644, 18: 5753, 22: 10305, 30: 10884, 24: 12043, 34: 5494, 26: 13153, 32: 8457, 20: 8013, 36: 3227, 12: 1178, 16: 3620, 14: 2216, 38: 1526, 40: 457, 42: 73, 10: 585, 8: 255, 4: 32, 6: 78, 0: 4, 2: 3}, ('SumOfEvens', 7, 4): {34: 10022, 20: 4695, 36: 6630, 38: 4042, 30: 13018, 26: 11605, 24: 9234, 22: 6948, 32: 11907, 28: 12907, 40: 1978, 10: 212, 16: 1818, 18: 3010, 42: 424, 14: 940, 12: 482, 8: 84, 6: 33, 2: 3, 4: 7, 0: 1}, ('SumOfEvens', 7, 5): {34: 13412, 36: 10366, 24: 6303, 30: 12713, 26: 8816, 40: 4734, 22: 4347, 38: 7212, 32: 13273, 28: 11561, 20: 2543, 18: 1526, 42: 1564, 14: 395, 16: 920, 12: 186, 8: 31, 10: 80, 4: 4, 6: 14}, ('SumOfEvens', 7, 6): {40: 8464, 32: 12798, 36: 13346, 28: 9389, 38: 10011, 24: 4176, 34: 15385, 30: 11291, 26: 6057, 22: 2683, 42: 3605, 20: 1359, 18: 819, 14: 148, 16: 359, 10: 32, 12: 68, 8: 4, 6: 5, 4: 1}, ('SumOfEvens', 7, 7): {34: 15613, 18: 390, 42: 7149, 36: 15702, 38: 12021, 30: 9525, 40: 12478, 32: 11106, 26: 3913, 28: 7007, 20: 681, 24: 2671, 22: 1511, 14: 69, 16: 135, 8: 2, 12: 23, 10: 3, 6: 1}, ('SumOfEvens', 7, 8): {40: 16137, 26: 2459, 36: 16970, 30: 7669, 38: 12599, 32: 9076, 42: 12085, 34: 14812, 24: 1645, 28: 5058, 22: 824, 20: 339, 18: 204, 14: 24, 16: 77, 12: 18, 10: 4}, ('SumOfEvens', 8, 1): {24: 5501, 14: 11696, 26: 3771, 28: 2435, 16: 11862, 18: 11145, 10: 8598, 32: 813, 6: 4344, 0: 373, 12: 10648, 2: 1020, 22: 7414, 20: 9463, 8: 6532, 30: 1376, 4: 2316, 38: 73, 34: 408, 36: 180, 40: 24, 42: 4, 44: 3, 46: 1}, ('SumOfEvens', 8, 2): {38: 1519, 26: 10879, 16: 6135, 20: 9772, 30: 8043, 32: 6058, 28: 9711, 18: 7865, 24: 11148, 34: 4215, 22: 10922, 10: 1536, 14: 4098, 36: 2718, 12: 2761, 8: 772, 6: 386, 42: 342, 40: 769, 4: 141, 2: 45, 44: 107, 46: 37, 0: 17, 48: 4}, ('SumOfEvens', 8, 3): {30: 12249, 28: 11561, 24: 8306, 36: 7860, 16: 1616, 40: 3315, 22: 6221, 38: 5627, 34: 10070, 18: 2630, 32: 11747, 20: 4428, 26: 10158, 42: 1741, 14: 874, 44: 669, 12: 430, 46: 173, 10: 187, 8: 65, 4: 5, 6: 39, 48: 28, 2: 1}, ('SumOfEvens', 8, 4): {40: 7009, 34: 12243, 28: 9047, 32: 12344, 38: 9623, 30: 10811, 16: 621, 42: 4569, 26: 6864, 44: 2425, 18: 1160, 36: 11307, 22: 3304, 48: 216, 24: 4882, 10: 59, 46: 1035, 20: 1982, 14: 294, 6: 8, 12: 167, 8: 26, 2: 2, 4: 1, 0: 1}, ('SumOfEvens', 8, 5): {40: 10958, 36: 12458, 30: 8178, 34: 12180, 38: 12260, 24: 2712, 42: 7933, 28: 6229, 32: 10485, 14: 108, 22: 1654, 46: 2920, 26: 4229, 20: 918, 44: 5192, 48: 814, 16: 222, 18: 467, 8: 11, 6: 3, 4: 1, 10: 17, 12: 51}, ('SumOfEvens', 8, 6): {36: 12064, 48: 2382, 26: 2376, 24: 1455, 44: 8361, 28: 3916, 40: 13920, 42: 11359, 38: 12862, 32: 7846, 46: 5912, 30: 5727, 34: 10367, 18: 208, 16: 78, 22: 753, 20: 361, 14: 30, 10: 6, 12: 15, 6: 1, 8: 1}, ('SumOfEvens', 8, 7): {34: 8619, 42: 13899, 32: 5303, 36: 10651, 30: 3778, 46: 10004, 28: 2390, 38: 12089, 40: 14999, 44: 10574, 48: 5042, 8: 3, 26: 1228, 24: 767, 22: 381, 18: 74, 20: 152, 16: 27, 12: 5, 14: 11, 10: 4}, ('SumOfEvens', 8, 8): {40: 14996, 38: 10354, 46: 13670, 42: 16214, 48: 9039, 30: 2458, 32: 3565, 36: 8996, 44: 11803, 34: 6358, 26: 611, 28: 1321, 24: 352, 22: 163, 18: 36, 20: 51, 16: 6, 14: 3, 10: 4}, ('DoubleThreesAndFours', 1, 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7959, 8: 5456, 12: 2033, 6: 1774, 18: 836, 0: 499}, ('DoubleThreesAndFours', 3, 7): {14: 9997, 24: 32693, 22: 24010, 16: 20149, 20: 5970, 6: 1005, 8: 4244, 0: 293, 12: 1190, 18: 449}, ('DoubleThreesAndFours', 3, 8): {22: 23158, 24: 40426, 20: 4456, 16: 19616, 6: 598, 14: 7514, 8: 3029, 12: 736, 18: 289, 0: 178}, ('DoubleThreesAndFours', 4, 1): {0: 19809, 22: 3661, 6: 19538, 14: 14835, 8: 19765, 16: 7377, 12: 7513, 20: 3787, 24: 1312, 18: 1239, 28: 426, 30: 317, 32: 89, 26: 332}, ('DoubleThreesAndFours', 4, 2): {14: 18494, 12: 9152, 8: 9681, 6: 9759, 32: 582, 20: 11442, 24: 4411, 16: 9182, 22: 11245, 28: 3481, 30: 2486, 18: 3796, 26: 2317, 0: 3972}, ('DoubleThreesAndFours', 4, 3): {30: 6209, 16: 6563, 20: 15371, 26: 6250, 14: 12957, 32: 1553, 22: 15441, 18: 5181, 28: 9263, 24: 6812, 12: 6446, 6: 3580, 8: 3629, 0: 745}, ('DoubleThreesAndFours', 4, 4): {22: 18508, 14: 10057, 30: 11372, 20: 11583, 16: 7710, 24: 10280, 26: 4741, 18: 2466, 6: 1737, 28: 10883, 32: 4475, 8: 2754, 0: 371, 12: 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('QuadrupleOnesAndTwos', 1, 3): {0: 37100, 4: 23184, 8: 39716}, ('QuadrupleOnesAndTwos', 1, 4): {0: 30963, 8: 49816, 4: 19221}, ('QuadrupleOnesAndTwos', 1, 5): {8: 58605, 4: 16079, 0: 25316}, ('QuadrupleOnesAndTwos', 1, 6): {0: 21505, 8: 65258, 4: 13237}, ('QuadrupleOnesAndTwos', 1, 7): {0: 17676, 8: 71224, 4: 11100}, ('QuadrupleOnesAndTwos', 1, 8): {0: 14971, 8: 75706, 4: 9323}, ('QuadrupleOnesAndTwos', 2, 1): {0: 44566, 4: 22273, 8: 24842, 16: 2834, 12: 5485}, ('QuadrupleOnesAndTwos', 2, 2): {0: 19963, 12: 15172, 16: 7713, 4: 24890, 8: 32262}, ('QuadrupleOnesAndTwos', 2, 3): {0: 13766, 8: 34907, 16: 15630, 4: 17158, 12: 18539}, ('QuadrupleOnesAndTwos', 2, 4): {8: 34465, 12: 19108, 16: 24903, 0: 9543, 4: 11981}, ('QuadrupleOnesAndTwos', 2, 5): {16: 34144, 4: 8302, 8: 32470, 12: 18612, 0: 6472}, ('QuadrupleOnesAndTwos', 2, 6): {16: 42762, 8: 29716, 12: 17216, 0: 4569, 4: 5737}, ('QuadrupleOnesAndTwos', 2, 7): {12: 15756, 16: 50635, 8: 26489, 4: 3974, 0: 3146}, ('QuadrupleOnesAndTwos', 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28: 307, 32: 80}, ('QuadrupleOnesAndTwos', 4, 2): {4: 9776, 8: 19015, 16: 20986, 12: 22094, 0: 4023, 20: 13805, 24: 7340, 28: 2393, 32: 568}, ('QuadrupleOnesAndTwos', 4, 3): {12: 16853, 4: 4705, 0: 1848, 16: 22831, 8: 12411, 28: 5902, 20: 18400, 32: 2570, 24: 14480}, ('QuadrupleOnesAndTwos', 4, 4): {16: 21220, 24: 20615, 12: 12063, 20: 19266, 4: 2291, 0: 930, 32: 6088, 8: 8084, 28: 9443}, ('QuadrupleOnesAndTwos', 4, 5): {24: 25474, 20: 17910, 32: 11370, 28: 12864, 16: 18209, 12: 7649, 0: 424, 8: 4963, 4: 1137}, ('QuadrupleOnesAndTwos', 4, 6): {32: 18156, 24: 28256, 20: 15416, 12: 4931, 28: 14675, 16: 14796, 8: 3048, 4: 532, 0: 190}, ('QuadrupleOnesAndTwos', 4, 7): {20: 12289, 12: 3189, 28: 16052, 32: 25512, 24: 29181, 16: 11547, 8: 1871, 4: 244, 0: 115}, ('QuadrupleOnesAndTwos', 4, 8): {24: 28785, 32: 33333, 16: 8888, 28: 16180, 12: 1909, 20: 9679, 8: 1062, 4: 114, 0: 50}, ('QuadrupleOnesAndTwos', 5, 1): {0: 13112, 8: 24718, 4: 16534, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1194, 32: 390, 36: 66, 40: 16}, ('QuadrupleOnesAndTwos', 5, 2): {4: 5529, 20: 18149, 12: 17687, 24: 12849, 16: 20808, 28: 6991, 32: 2980, 36: 871, 8: 12216, 0: 1764, 40: 156}, ('QuadrupleOnesAndTwos', 5, 3): {36: 2946, 24: 18643, 32: 7960, 20: 19002, 28: 12827, 12: 11074, 16: 17322, 8: 6362, 4: 2161, 0: 719, 40: 984}, ('QuadrupleOnesAndTwos', 5, 4): {32: 14218, 40: 2982, 28: 16398, 4: 847, 24: 20749, 16: 12913, 20: 15867, 36: 5931, 12: 6581, 8: 3209, 0: 305}, ('QuadrupleOnesAndTwos', 5, 5): {40: 6767, 24: 20010, 36: 9319, 20: 12037, 16: 8863, 32: 19789, 28: 17568, 4: 340, 8: 1729, 12: 3480, 0: 98}, ('QuadrupleOnesAndTwos', 5, 6): {24: 17830, 36: 12115, 40: 11918, 20: 8436, 32: 24246, 16: 5734, 28: 16864, 12: 1793, 4: 156, 8: 870, 0: 38}, ('QuadrupleOnesAndTwos', 5, 7): {32: 27238, 36: 14094, 28: 14969, 24: 14936, 40: 17918, 20: 5684, 16: 3712, 12: 924, 8: 445, 4: 51, 0: 29}, ('QuadrupleOnesAndTwos', 5, 8): {28: 12517, 36: 15339, 32: 28388, 40: 25046, 24: 11929, 16: 2344, 20: 3690, 12: 481, 8: 241, 4: 21, 0: 4}, ('QuadrupleOnesAndTwos', 6, 1): {4: 13011, 8: 21357, 24: 6249, 0: 8646, 16: 17008, 12: 19385, 20: 10409, 28: 2502, 36: 289, 32: 1041, 40: 96, 44: 6, 48: 1}, ('QuadrupleOnesAndTwos', 6, 2): {8: 7435, 20: 18814, 28: 11889, 16: 17480, 12: 12792, 24: 16492, 32: 6893, 0: 844, 36: 3013, 4: 2876, 40: 1124, 44: 304, 48: 44}, ('QuadrupleOnesAndTwos', 6, 3): {32: 13314, 12: 6431, 36: 8034, 28: 16506, 20: 15584, 24: 17967, 16: 11685, 40: 4204, 8: 3203, 48: 429, 44: 1402, 0: 264, 4: 977}, ('QuadrupleOnesAndTwos', 6, 4): {28: 17174, 36: 12820, 16: 6727, 40: 9289, 32: 17787, 24: 15746, 44: 3499, 20: 10562, 8: 1361, 4: 301, 12: 3077, 48: 1574, 0: 83}, ('QuadrupleOnesAndTwos', 6, 5): {32: 19588, 24: 12264, 44: 6410, 40: 14682, 36: 16002, 28: 14810, 20: 6466, 48: 3921, 16: 3781, 12: 1344, 4: 106, 8: 590, 0: 36}, ('QuadrupleOnesAndTwos', 6, 6): {40: 19906, 32: 19145, 36: 16864, 24: 8774, 8: 238, 48: 7617, 28: 11481, 44: 9386, 16: 2094, 12: 594, 20: 3849, 4: 40, 0: 12}, ('QuadrupleOnesAndTwos', 6, 7): {36: 16148, 32: 17207, 44: 11862, 40: 24051, 48: 12836, 24: 6015, 28: 8372, 16: 1032, 20: 2123, 12: 240, 8: 96, 4: 15, 0: 3}, ('QuadrupleOnesAndTwos', 6, 8): {36: 14585, 32: 14489, 24: 3868, 40: 26779, 28: 5738, 44: 13821, 48: 18879, 8: 40, 20: 1118, 16: 559, 12: 121, 0: 1, 4: 2}, ('QuadrupleOnesAndTwos', 7, 1): {24: 8617, 12: 18364, 8: 17905, 4: 10185, 16: 18160, 0: 5780, 32: 2221, 28: 4458, 20: 13115, 36: 827, 44: 77, 40: 266, 48: 23, 52: 2}, ('QuadrupleOnesAndTwos', 7, 2): {28: 15061, 24: 17562, 12: 8501, 16: 13204, 20: 16895, 4: 1436, 32: 11122, 40: 3259, 8: 4327, 44: 1279, 36: 6507, 0: 359, 52: 86, 48: 388, 56: 14}, ('QuadrupleOnesAndTwos', 7, 3): {12: 3419, 20: 11008, 36: 12681, 44: 4707, 24: 14839, 40: 8773, 8: 1544, 16: 7076, 32: 16118, 28: 16393, 48: 2126, 0: 84, 52: 637, 4: 437, 56: 158}, ('QuadrupleOnesAndTwos', 7, 4): {20: 6250, 48: 5741, 32: 16527, 36: 15938, 28: 13596, 40: 14071, 24: 10535, 44: 9192, 12: 1277, 8: 548, 16: 3362, 56: 733, 52: 2105, 4: 109, 0: 16}, ('QuadrupleOnesAndTwos', 7, 5): {28: 9400, 44: 13369, 32: 14443, 36: 15955, 20: 3100, 56: 2291, 48: 10702, 40: 17820, 16: 1506, 24: 6337, 52: 4316, 8: 185, 12: 538, 4: 35, 0: 3}, ('QuadrupleOnesAndTwos', 7, 6): {40: 19063, 56: 4910, 48: 15867, 32: 11398, 44: 15587, 52: 7202, 36: 13738, 24: 3747, 28: 5988, 20: 1535, 16: 694, 12: 199, 8: 63, 4: 8, 0: 1}, ('QuadrupleOnesAndTwos', 7, 7): {24: 2129, 52: 9969, 44: 16470, 36: 10801, 40: 18184, 56: 9078, 48: 20467, 28: 3595, 32: 8275, 20: 673, 16: 270, 12: 66, 8: 17, 4: 4, 0: 2}, ('QuadrupleOnesAndTwos', 7, 8): {48: 24388, 44: 15477, 52: 12403, 28: 2117, 56: 14425, 40: 16197, 32: 5715, 16: 107, 24: 1063, 36: 7770, 20: 307, 12: 24, 8: 6, 0: 1}, ('QuadrupleOnesAndTwos', 8, 1): {12: 17214, 8: 14638, 20: 14651, 4: 7682, 16: 18191, 24: 10976, 36: 1607, 0: 3811, 32: 3601, 28: 6591, 44: 234, 40: 725, 48: 64, 52: 14, 56: 1}, ('QuadrupleOnesAndTwos', 8, 2): {52: 470, 40: 6198, 28: 16246, 32: 14131, 24: 16213, 20: 13623, 36: 10076, 8: 2413, 16: 9421, 48: 1427, 12: 5355, 44: 3336, 4: 770, 0: 136, 56: 160, 60: 21, 64: 4}, ('QuadrupleOnesAndTwos', 8, 3): {32: 15751, 40: 12409, 20: 7201, 28: 13934, 16: 4021, 12: 1804, 36: 14882, 44: 8920, 56: 1006, 48: 5462, 24: 10733, 52: 2606, 64: 51, 8: 716, 60: 280, 4: 191, 0: 33}, ('QuadrupleOnesAndTwos', 8, 4): {48: 10706, 36: 14756, 44: 13795, 40: 15851, 32: 12990, 28: 9073, 16: 1518, 8: 194, 20: 3103, 24: 6057, 52: 6310, 56: 3456, 60: 1207, 64: 403, 12: 542, 4: 35, 0: 4}, ('QuadrupleOnesAndTwos', 8, 5): {44: 15382, 56: 7377, 40: 15561, 48: 15278, 60: 2918, 32: 8993, 52: 10629, 28: 5327, 24: 2989, 36: 12039, 64: 1326, 12: 178, 20: 1300, 16: 627, 4: 14, 8: 60, 0: 2}, ('QuadrupleOnesAndTwos', 8, 6): {56: 12425, 52: 14024, 48: 17731, 36: 8463, 60: 5446, 44: 14818, 64: 3333, 40: 13177, 32: 5606, 28: 2711, 24: 1484, 20: 520, 12: 63, 16: 174, 8: 23, 4: 2}, ('QuadrupleOnesAndTwos', 8, 7): {52: 15549, 36: 5454, 56: 17187, 40: 10276, 44: 12582, 32: 3399, 48: 18487, 60: 8149, 64: 6573, 28: 1363, 24: 681, 20: 212, 16: 65, 12: 22, 8: 1}, ('QuadrupleOnesAndTwos', 8, 8): {40: 7484, 64: 11129, 52: 15898, 48: 17080, 44: 9727, 56: 21877, 60: 10773, 36: 3224, 32: 1803, 24: 259, 28: 651, 20: 66, 16: 27, 8: 1, 12: 1}, ('MicroStraight', 1, 1): {0: 100000}, ('MicroStraight', 1, 2): {0: 100000}, ('MicroStraight', 1, 3): {0: 100000}, ('MicroStraight', 1, 4): {0: 100000}, ('MicroStraight', 1, 5): {0: 100000}, ('MicroStraight', 1, 6): {0: 100000}, ('MicroStraight', 1, 7): {0: 100000}, ('MicroStraight', 1, 8): {0: 100000}, ('MicroStraight', 2, 1): {0: 72326, 10: 27674}, ('MicroStraight', 2, 2): {0: 48546, 10: 51454}, ('MicroStraight', 2, 3): {10: 67381, 0: 32619}, ('MicroStraight', 2, 4): {10: 78341, 0: 21659}, ('MicroStraight', 2, 5): {10: 85712, 0: 14288}, ('MicroStraight', 2, 6): {10: 90118, 0: 9882}, ('MicroStraight', 2, 7): {10: 93498, 0: 6502}, ('MicroStraight', 2, 8): {10: 95839, 0: 4161}, ('MicroStraight', 3, 1): {10: 58057, 0: 41943}, ('MicroStraight', 3, 2): {10: 84476, 0: 15524}, ('MicroStraight', 3, 3): {10: 94300, 0: 5700}, ('MicroStraight', 3, 4): {10: 97873, 0: 2127}, ('MicroStraight', 3, 5): {10: 99256, 0: 744}, ('MicroStraight', 3, 6): {10: 99740, 0: 260}, ('MicroStraight', 3, 7): {10: 99885, 0: 115}, ('MicroStraight', 3, 8): {10: 99966, 0: 34}, ('MicroStraight', 4, 1): {10: 77693, 0: 22307}, ('MicroStraight', 4, 2): {10: 95580, 0: 4420}, ('MicroStraight', 4, 3): {10: 99194, 0: 806}, ('MicroStraight', 4, 4): {10: 99795, 0: 205}, ('MicroStraight', 4, 5): {10: 99980, 0: 20}, ('MicroStraight', 4, 6): {10: 99995, 0: 5}, ('MicroStraight', 4, 7): {10: 99999, 0: 1}, ('MicroStraight', 4, 8): {10: 99999, 0: 1}, ('MicroStraight', 5, 1): {10: 88315, 0: 11685}, ('MicroStraight', 5, 2): {10: 98859, 0: 1141}, ('MicroStraight', 5, 3): {10: 99881, 0: 119}, ('MicroStraight', 5, 4): {10: 99989, 0: 11}, ('MicroStraight', 5, 5): {10: 99999, 0: 1}, ('MicroStraight', 5, 6): {10: 100000}, ('MicroStraight', 5, 7): {10: 100000}, ('MicroStraight', 5, 8): {10: 100000}, ('MicroStraight', 6, 1): {10: 94063, 0: 5937}, ('MicroStraight', 6, 2): {10: 99693, 0: 307}, ('MicroStraight', 6, 3): {10: 99991, 0: 9}, ('MicroStraight', 6, 4): {10: 99999, 0: 1}, ('MicroStraight', 6, 5): {10: 100000}, ('MicroStraight', 6, 6): {10: 100000}, ('MicroStraight', 6, 7): {10: 100000}, ('MicroStraight', 6, 8): {10: 100000}, ('MicroStraight', 7, 1): {10: 96928, 0: 3072}, ('MicroStraight', 7, 2): {10: 99915, 0: 85}, ('MicroStraight', 7, 3): {10: 99998, 0: 2}, ('MicroStraight', 7, 4): {10: 100000}, ('MicroStraight', 7, 5): {10: 100000}, ('MicroStraight', 7, 6): {10: 100000}, ('MicroStraight', 7, 7): {10: 100000}, ('MicroStraight', 7, 8): {10: 100000}, ('MicroStraight', 8, 1): {10: 98456, 0: 1544}, ('MicroStraight', 8, 2): {10: 99985, 0: 15}, ('MicroStraight', 8, 3): {10: 100000}, ('MicroStraight', 8, 4): {10: 100000}, ('MicroStraight', 8, 5): {10: 100000}, ('MicroStraight', 8, 6): {10: 100000}, ('MicroStraight', 8, 7): {10: 100000}, ('MicroStraight', 8, 8): {10: 100000}, ('ThreeOdds', 1, 1): {0: 100000}, ('ThreeOdds', 1, 2): {0: 100000}, ('ThreeOdds', 1, 3): {0: 100000}, ('ThreeOdds', 1, 4): {0: 100000}, ('ThreeOdds', 1, 5): {0: 100000}, ('ThreeOdds', 1, 6): {0: 100000}, ('ThreeOdds', 1, 7): {0: 100000}, ('ThreeOdds', 1, 8): {0: 100000}, ('ThreeOdds', 2, 1): {0: 100000}, ('ThreeOdds', 2, 2): {0: 100000}, ('ThreeOdds', 2, 3): {0: 100000}, ('ThreeOdds', 2, 4): {0: 100000}, ('ThreeOdds', 2, 5): {0: 100000}, ('ThreeOdds', 2, 6): {0: 100000}, ('ThreeOdds', 2, 7): {0: 100000}, ('ThreeOdds', 2, 8): {0: 100000}, ('ThreeOdds', 3, 1): {0: 87592, 20: 12408}, ('ThreeOdds', 3, 2): {20: 42145, 0: 57855}, ('ThreeOdds', 3, 3): {20: 67332, 0: 32668}, ('ThreeOdds', 3, 4): {0: 17508, 20: 82492}, ('ThreeOdds', 3, 5): {20: 90844, 0: 9156}, ('ThreeOdds', 3, 6): {20: 95428, 0: 4572}, ('ThreeOdds', 3, 7): {20: 97675, 0: 2325}, ('ThreeOdds', 3, 8): {20: 98884, 0: 1116}, ('ThreeOdds', 4, 1): {20: 31331, 0: 68669}, ('ThreeOdds', 4, 2): {0: 26140, 20: 73860}, ('ThreeOdds', 4, 3): {20: 92163, 0: 7837}, ('ThreeOdds', 4, 4): {20: 97831, 0: 2169}, ('ThreeOdds', 4, 5): {20: 99484, 0: 516}, ('ThreeOdds', 4, 6): {20: 99844, 0: 156}, ('ThreeOdds', 4, 7): {20: 99960, 0: 40}, ('ThreeOdds', 4, 8): {20: 99988, 0: 12}, ('ThreeOdds', 5, 1): {0: 49908, 20: 50092}, ('ThreeOdds', 5, 2): {20: 89627, 0: 10373}, ('ThreeOdds', 5, 3): {20: 98360, 0: 1640}, ('ThreeOdds', 5, 4): {20: 99777, 0: 223}, ('ThreeOdds', 5, 5): {20: 99976, 0: 24}, ('ThreeOdds', 5, 6): {20: 99997, 0: 3}, ('ThreeOdds', 5, 7): {20: 99999, 0: 1}, ('ThreeOdds', 5, 8): {20: 100000}, ('ThreeOdds', 6, 1): {20: 65434, 0: 34566}, ('ThreeOdds', 6, 2): {20: 96234, 0: 3766}, ('ThreeOdds', 6, 3): {20: 99709, 0: 291}, ('ThreeOdds', 6, 4): {20: 99978, 0: 22}, ('ThreeOdds', 6, 5): {20: 100000}, ('ThreeOdds', 6, 6): {20: 100000}, ('ThreeOdds', 6, 7): {20: 100000}, ('ThreeOdds', 6, 8): {20: 100000}, ('ThreeOdds', 7, 1): {20: 77278, 0: 22722}, ('ThreeOdds', 7, 2): {20: 98709, 0: 1291}, ('ThreeOdds', 7, 3): {20: 99962, 0: 38}, ('ThreeOdds', 7, 4): {20: 99998, 0: 2}, ('ThreeOdds', 7, 5): {20: 100000}, ('ThreeOdds', 7, 6): {20: 100000}, ('ThreeOdds', 7, 7): {20: 100000}, ('ThreeOdds', 7, 8): {20: 100000}, ('ThreeOdds', 8, 1): {20: 85444, 0: 14556}, ('ThreeOdds', 8, 2): {20: 99570, 0: 430}, ('ThreeOdds', 8, 3): {20: 99997, 0: 3}, ('ThreeOdds', 8, 4): {20: 100000}, ('ThreeOdds', 8, 5): {20: 100000}, ('ThreeOdds', 8, 6): {20: 100000}, ('ThreeOdds', 8, 7): {20: 100000}, ('ThreeOdds', 8, 8): {20: 100000}, ('OneTwoOneConsecutive', 1, 1): {0: 100000}, ('OneTwoOneConsecutive', 1, 2): {0: 100000}, ('OneTwoOneConsecutive', 1, 3): {0: 100000}, ('OneTwoOneConsecutive', 1, 4): {0: 100000}, ('OneTwoOneConsecutive', 1, 5): {0: 100000}, ('OneTwoOneConsecutive', 1, 6): {0: 100000}, ('OneTwoOneConsecutive', 1, 7): {0: 100000}, ('OneTwoOneConsecutive', 1, 8): {0: 100000}, ('OneTwoOneConsecutive', 2, 1): {0: 100000}, ('OneTwoOneConsecutive', 2, 2): {0: 100000}, ('OneTwoOneConsecutive', 2, 3): {0: 100000}, ('OneTwoOneConsecutive', 2, 4): {0: 100000}, ('OneTwoOneConsecutive', 2, 5): {0: 100000}, ('OneTwoOneConsecutive', 2, 6): {0: 100000}, ('OneTwoOneConsecutive', 2, 7): {0: 100000}, ('OneTwoOneConsecutive', 2, 8): {0: 100000}, ('OneTwoOneConsecutive', 3, 1): {0: 100000}, ('OneTwoOneConsecutive', 3, 2): {0: 100000}, ('OneTwoOneConsecutive', 3, 3): {0: 100000}, ('OneTwoOneConsecutive', 3, 4): {0: 100000}, ('OneTwoOneConsecutive', 3, 5): {0: 100000}, ('OneTwoOneConsecutive', 3, 6): {0: 100000}, ('OneTwoOneConsecutive', 3, 7): {0: 100000}, ('OneTwoOneConsecutive', 3, 8): {0: 100000}, ('OneTwoOneConsecutive', 4, 1): {0: 96371, 30: 3629}, ('OneTwoOneConsecutive', 4, 2): {30: 13395, 0: 86605}, ('OneTwoOneConsecutive', 4, 3): {0: 75037, 30: 24963}, ('OneTwoOneConsecutive', 4, 4): {30: 36344, 0: 63656}, ('OneTwoOneConsecutive', 4, 5): {30: 46131, 0: 53869}, ('OneTwoOneConsecutive', 4, 6): {30: 54869, 0: 45131}, ('OneTwoOneConsecutive', 4, 7): {30: 62465, 0: 37535}, ('OneTwoOneConsecutive', 4, 8): {30: 68575, 0: 31425}, ('OneTwoOneConsecutive', 5, 1): {0: 86632, 30: 13368}, ('OneTwoOneConsecutive', 5, 2): {0: 62779, 30: 37221}, ('OneTwoOneConsecutive', 5, 3): {30: 53966, 0: 46034}, ('OneTwoOneConsecutive', 5, 4): {0: 34983, 30: 65017}, ('OneTwoOneConsecutive', 5, 5): {0: 28056, 30: 71944}, ('OneTwoOneConsecutive', 5, 6): {30: 76850, 0: 23150}, ('OneTwoOneConsecutive', 5, 7): {30: 80423, 0: 19577}, ('OneTwoOneConsecutive', 5, 8): {0: 17613, 30: 82387}, ('OneTwoOneConsecutive', 6, 1): {0: 71928, 30: 28072}, ('OneTwoOneConsecutive', 6, 2): {0: 40724, 30: 59276}, ('OneTwoOneConsecutive', 6, 3): {30: 73277, 0: 26723}, ('OneTwoOneConsecutive', 6, 4): {0: 19685, 30: 80315}, ('OneTwoOneConsecutive', 6, 5): {30: 84540, 0: 15460}, ('OneTwoOneConsecutive', 6, 6): {30: 87474, 0: 12526}, ('OneTwoOneConsecutive', 6, 7): {30: 89986, 0: 10014}, ('OneTwoOneConsecutive', 6, 8): {30: 91749, 0: 8251}, ('OneTwoOneConsecutive', 7, 1): {0: 55544, 30: 44456}, ('OneTwoOneConsecutive', 7, 2): {30: 75160, 0: 24840}, ('OneTwoOneConsecutive', 7, 3): {30: 84898, 0: 15102}, ('OneTwoOneConsecutive', 7, 4): {30: 89459, 0: 10541}, ('OneTwoOneConsecutive', 7, 5): {30: 92280, 0: 7720}, ('OneTwoOneConsecutive', 7, 6): {30: 94446, 0: 5554}, ('OneTwoOneConsecutive', 7, 7): {30: 95894, 0: 4106}, ('OneTwoOneConsecutive', 7, 8): {30: 96975, 0: 3025}, ('OneTwoOneConsecutive', 8, 1): {30: 59307, 0: 40693}, ('OneTwoOneConsecutive', 8, 2): {0: 14827, 30: 85173}, ('OneTwoOneConsecutive', 8, 3): {30: 91805, 0: 8195}, ('OneTwoOneConsecutive', 8, 4): {30: 94617, 0: 5383}, ('OneTwoOneConsecutive', 8, 5): {30: 96605, 0: 3395}, ('OneTwoOneConsecutive', 8, 6): {30: 97701, 0: 2299}, ('OneTwoOneConsecutive', 8, 7): {30: 98588, 0: 1412}, ('OneTwoOneConsecutive', 8, 8): {30: 99128, 0: 872}, ('ThreeDistinctDice', 1, 1): {0: 100000}, ('ThreeDistinctDice', 1, 2): {0: 100000}, ('ThreeDistinctDice', 1, 3): {0: 100000}, ('ThreeDistinctDice', 1, 4): {0: 100000}, ('ThreeDistinctDice', 1, 5): {0: 100000}, ('ThreeDistinctDice', 1, 6): {0: 100000}, ('ThreeDistinctDice', 1, 7): {0: 100000}, ('ThreeDistinctDice', 1, 8): {0: 100000}, ('ThreeDistinctDice', 2, 1): {0: 100000}, ('ThreeDistinctDice', 2, 2): {0: 100000}, ('ThreeDistinctDice', 2, 3): {0: 100000}, ('ThreeDistinctDice', 2, 4): {0: 100000}, ('ThreeDistinctDice', 2, 5): {0: 100000}, ('ThreeDistinctDice', 2, 6): {0: 100000}, ('ThreeDistinctDice', 2, 7): {0: 100000}, ('ThreeDistinctDice', 2, 8): {0: 100000}, ('ThreeDistinctDice', 3, 1): {20: 55293, 0: 44707}, ('ThreeDistinctDice', 3, 2): {0: 15078, 20: 84922}, ('ThreeDistinctDice', 3, 3): {20: 94944, 0: 5056}, ('ThreeDistinctDice', 3, 4): {0: 1688, 20: 98312}, ('ThreeDistinctDice', 3, 5): {20: 99484, 0: 516}, ('ThreeDistinctDice', 3, 6): {20: 99818, 0: 182}, ('ThreeDistinctDice', 3, 7): {20: 99944, 0: 56}, ('ThreeDistinctDice', 3, 8): {20: 99985, 0: 15}, ('ThreeDistinctDice', 4, 1): {20: 83279, 0: 16721}, ('ThreeDistinctDice', 4, 2): {20: 98174, 0: 1826}, ('ThreeDistinctDice', 4, 3): {20: 99797, 0: 203}, ('ThreeDistinctDice', 4, 4): {20: 99982, 0: 18}, ('ThreeDistinctDice', 4, 5): {20: 99997, 0: 3}, ('ThreeDistinctDice', 4, 6): {20: 100000}, ('ThreeDistinctDice', 4, 7): {20: 100000}, ('ThreeDistinctDice', 4, 8): {20: 100000}, ('ThreeDistinctDice', 5, 1): {0: 5904, 20: 94096}, ('ThreeDistinctDice', 5, 2): {20: 99764, 0: 236}, ('ThreeDistinctDice', 5, 3): {20: 99988, 0: 12}, ('ThreeDistinctDice', 5, 4): {20: 100000}, ('ThreeDistinctDice', 5, 5): {20: 100000}, ('ThreeDistinctDice', 5, 6): {20: 100000}, ('ThreeDistinctDice', 5, 7): {20: 100000}, ('ThreeDistinctDice', 5, 8): {20: 100000}, ('ThreeDistinctDice', 6, 1): {20: 98008, 0: 1992}, ('ThreeDistinctDice', 6, 2): {20: 99979, 0: 21}, ('ThreeDistinctDice', 6, 3): {20: 100000}, ('ThreeDistinctDice', 6, 4): {20: 100000}, ('ThreeDistinctDice', 6, 5): {20: 100000}, ('ThreeDistinctDice', 6, 6): {20: 100000}, ('ThreeDistinctDice', 6, 7): {20: 100000}, ('ThreeDistinctDice', 6, 8): {20: 100000}, ('ThreeDistinctDice', 7, 1): {20: 99308, 0: 692}, ('ThreeDistinctDice', 7, 2): {20: 99996, 0: 4}, ('ThreeDistinctDice', 7, 3): {20: 100000}, ('ThreeDistinctDice', 7, 4): {20: 100000}, ('ThreeDistinctDice', 7, 5): {20: 100000}, ('ThreeDistinctDice', 7, 6): {20: 100000}, ('ThreeDistinctDice', 7, 7): {20: 100000}, ('ThreeDistinctDice', 7, 8): {20: 100000}, ('ThreeDistinctDice', 8, 1): {20: 99757, 0: 243}, ('ThreeDistinctDice', 8, 2): {20: 99999, 0: 1}, ('ThreeDistinctDice', 8, 3): {20: 100000}, ('ThreeDistinctDice', 8, 4): {20: 100000}, ('ThreeDistinctDice', 8, 5): {20: 100000}, ('ThreeDistinctDice', 8, 6): {20: 100000}, ('ThreeDistinctDice', 8, 7): {20: 100000}, ('ThreeDistinctDice', 8, 8): {20: 100000}, ('TwoPair', 1, 1): {0: 100000}, ('TwoPair', 1, 2): {0: 100000}, ('TwoPair', 1, 3): {0: 100000}, ('TwoPair', 1, 4): {0: 100000}, ('TwoPair', 1, 5): {0: 100000}, ('TwoPair', 1, 6): {0: 100000}, ('TwoPair', 1, 7): {0: 100000}, ('TwoPair', 1, 8): {0: 100000}, ('TwoPair', 2, 1): {0: 100000}, ('TwoPair', 2, 2): {0: 100000}, ('TwoPair', 2, 3): {0: 100000}, ('TwoPair', 2, 4): {0: 100000}, ('TwoPair', 2, 5): {0: 100000}, ('TwoPair', 2, 6): {0: 100000}, ('TwoPair', 2, 7): {0: 100000}, ('TwoPair', 2, 8): {0: 100000}, ('TwoPair', 3, 1): {0: 100000}, ('TwoPair', 3, 2): {0: 100000}, ('TwoPair', 3, 3): {0: 100000}, ('TwoPair', 3, 4): {0: 100000}, ('TwoPair', 3, 5): {0: 100000}, ('TwoPair', 3, 6): {0: 100000}, ('TwoPair', 3, 7): {0: 100000}, ('TwoPair', 3, 8): {0: 100000}, ('TwoPair', 4, 1): {0: 93065, 30: 6935}, ('TwoPair', 4, 2): {0: 82102, 30: 17898}, ('TwoPair', 4, 3): {0: 71209, 30: 28791}, ('TwoPair', 4, 4): {0: 61609, 30: 38391}, ('TwoPair', 4, 5): {30: 46964, 0: 53036}, ('TwoPair', 4, 6): {0: 45705, 30: 54295}, ('TwoPair', 4, 7): {0: 39398, 30: 60602}, ('TwoPair', 4, 8): {30: 66327, 0: 33673}, ('TwoPair', 5, 1): {30: 27153, 0: 72847}, ('TwoPair', 5, 2): {30: 53241, 0: 46759}, ('TwoPair', 5, 3): {30: 70538, 0: 29462}, ('TwoPair', 5, 4): {30: 81649, 0: 18351}, ('TwoPair', 5, 5): {30: 88207, 0: 11793}, ('TwoPair', 5, 6): {30: 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("TwosAndThrees", 5, 5): {12: 20783, 14: 5166, 6: 12042, 9: 22225, 8: 8829, 11: 11126, 3: 3222, 7: 1226, 10: 2220, 15: 7632, 5: 3184, 13: 1346, 2: 401, 0: 380, 4: 218}, ("TwosAndThrees", 5, 6): {15: 13013, 14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ("TwosAndThrees", 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ("TwosAndThrees", 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ("TwosAndThrees", 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ("TwosAndThrees", 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ("TwosAndThrees", 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ("TwosAndThrees", 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ("TwosAndThrees", 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ("TwosAndThrees", 6, 6): {11: 8492, 15: 21066, 12: 21369, 17: 5246, 6: 3342, 16: 1335, 14: 10649, 8: 3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ("TwosAndThrees", 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ("TwosAndThrees", 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 4: 2}, ("TwosAndThrees", 7, 1): {8: 10304, 0: 5802, 2: 10380, 11: 3830, 7: 9559, 10: 5017, 5: 15384, 4: 7689, 3: 10100, 9: 6289, 13: 1211, 6: 11027, 12: 2088, 14: 735, 15: 309, 16: 177, 17: 59, 19: 11, 18: 27, 20: 2}, ("TwosAndThrees", 7, 2): {10: 6466, 0: 1605, 8: 13172, 7: 5824, 11: 9919, 13: 3610, 9: 11600, 14: 4206, 2: 2810, 6: 11269, 5: 9442, 12: 6844, 15: 2299, 3: 6242, 17: 923, 16: 966, 4: 2215, 18: 376, 19: 114, 20: 76, 21: 22}, ("TwosAndThrees", 7, 3): {6: 8288, 7: 2641, 3: 2956, 9: 13017, 8: 10013, 14: 8279, 16: 2082, 12: 12302, 11: 12133, 13: 4465, 18: 1968, 15: 6674, 10: 5028, 17: 3001, 5: 4265, 2: 792, 20: 437, 21: 258, 4: 558, 0: 471, 19: 372}, ("TwosAndThrees", 7, 4): {15: 12396, 9: 10994, 18: 5400, 21: 1006, 5: 1774, 17: 5917, 14: 10700, 12: 15357, 11: 11007, 20: 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2524, 16: 3469, 12: 9934, 11: 5061, 17: 10743, 15: 14970, 18: 14072, 24: 1671, 14: 9578, 10: 1007, 20: 6621, 6: 1110, 9: 4201, 19: 2728, 23: 1727, 8: 1714, 22: 848, 5: 316, 3: 188, 7: 211, 0: 16, 2: 16, 4: 30}, ("TwosAndThrees", 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ("TwosAndThrees", 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ("TwosAndThrees", 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ("SumOfOdds", 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ("SumOfOdds", 1, 2): 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8852, 10: 42502, 3: 4279, 5: 20970, 1: 1769, 4: 1468, 2: 282}, ("SumOfOdds", 2, 7): {5: 19160, 8: 15860, 6: 7664, 10: 50054, 1: 1225, 3: 2939, 4: 1039, 0: 1872, 2: 187}, ("SumOfOdds", 2, 8): {5: 16853, 8: 14179, 10: 57618, 3: 2121, 6: 6400, 1: 781, 0: 1230, 4: 671, 2: 147}, ("SumOfOdds", 3, 1): {4: 8109, 5: 13902, 2: 4149, 8: 8321, 6: 12607, 1: 12587, 7: 2743, 3: 12861, 0: 12467, 9: 3339, 10: 4223, 11: 2801, 15: 479, 13: 1412}, ("SumOfOdds", 3, 2): {8: 15592, 1: 3633, 5: 10240, 13: 6362, 3: 9469, 10: 7709, 15: 2120, 6: 13852, 11: 9070, 9: 7284, 4: 6110, 7: 3557, 0: 3750, 2: 1252}, ("SumOfOdds", 3, 3): {6: 10744, 10: 13273, 7: 2564, 8: 15277, 3: 5427, 13: 11044, 11: 10759, 5: 9729, 15: 6204, 1: 2180, 9: 6354, 4: 3603, 0: 2140, 2: 702}, ("SumOfOdds", 3, 4): {8: 13319, 6: 7837, 11: 11288, 9: 5211, 13: 14216, 15: 12408, 4: 2122, 3: 3247, 10: 17343, 7: 1738, 5: 8380, 1: 1212, 0: 1265, 2: 414}, ("SumOfOdds", 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 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7238, 11: 11998, 12: 3466, 13: 12173, 14: 5857, 4: 2033, 6: 5991, 1: 817, 2: 382, 3: 2070, 5: 4051, 0: 579, 7: 2789}, ("SumOfOdds", 4, 4): {5: 2645, 14: 5928, 8: 6372, 11: 10474, 13: 13555, 12: 2765, 16: 9426, 15: 11453, 18: 9512, 10: 8758, 6: 3695, 20: 6196, 4: 912, 2: 187, 9: 4810, 3: 1009, 0: 295, 7: 1637, 1: 371}, ("SumOfOdds", 4, 5): {20: 11573, 11: 8461, 15: 15171, 8: 4270, 16: 10401, 13: 12479, 18: 12704, 14: 5099, 10: 8159, 6: 2313, 9: 3010, 5: 1893, 12: 2054, 4: 520, 7: 932, 1: 194, 3: 528, 0: 136, 2: 103}, ("SumOfOdds", 4, 6): {14: 4251, 10: 7130, 15: 17784, 11: 6594, 20: 17780, 18: 14865, 13: 11039, 16: 10571, 8: 2849, 9: 1928, 6: 1369, 12: 1509, 7: 583, 5: 1123, 0: 75, 3: 225, 4: 198, 1: 84, 2: 43}, ("SumOfOdds", 4, 7): {11: 5056, 15: 19254, 20: 25294, 18: 15947, 12: 1124, 16: 10290, 13: 9005, 8: 1697, 9: 1202, 14: 3338, 5: 703, 3: 129, 10: 5644, 7: 317, 6: 798, 4: 112, 2: 19, 1: 38, 0: 33}, ("SumOfOdds", 4, 8): {15: 19503, 18: 16250, 10: 4365, 20: 33016, 13: 7294, 16: 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5463, 20: 7264, 14: 6799, 3: 322, 8: 2685, 7: 929, 25: 3023, 5: 899, 4: 353, 0: 60, 2: 65, 1: 121}, ("SumOfOdds", 5, 5): {23: 9242, 21: 8982, 18: 12099, 16: 9890, 13: 6376, 14: 5000, 7: 416, 15: 8283, 25: 6730, 10: 2969, 20: 11138, 19: 5449, 11: 4198, 17: 2686, 8: 1446, 6: 749, 9: 1508, 12: 1961, 5: 490, 4: 169, 3: 124, 2: 23, 1: 40, 0: 32}, ("SumOfOdds", 5, 6): {16: 8471, 14: 3473, 15: 7862, 20: 14372, 18: 11813, 23: 11945, 13: 4540, 25: 11854, 17: 2176, 21: 9884, 19: 5053, 7: 214, 11: 2724, 10: 2039, 12: 1252, 5: 265, 8: 764, 9: 796, 6: 351, 3: 52, 0: 14, 4: 51, 2: 10, 1: 25}, ("SumOfOdds", 5, 7): {21: 10043, 15: 6797, 18: 10646, 20: 17146, 16: 6743, 23: 14100, 25: 18070, 14: 2413, 13: 3129, 17: 1582, 11: 1707, 19: 4232, 10: 1317, 12: 758, 8: 419, 9: 393, 7: 117, 6: 212, 0: 4, 5: 121, 3: 14, 4: 29, 1: 5, 2: 3}, ("SumOfOdds", 5, 8): {19: 3530, 25: 25173, 16: 5196, 14: 1481, 23: 15254, 20: 18491, 21: 9907, 18: 8924, 15: 5707, 11: 1045, 17: 1194, 13: 2121, 9: 226, 12: 432, 10: 885, 8: 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("SumOfOdds", 7, 3): {21: 7920, 11: 2734, 13: 3610, 20: 5725, 17: 5660, 10: 1718, 29: 2008, 23: 5788, 26: 5052, 14: 4810, 19: 7837, 16: 6596, 18: 6591, 24: 6130, 15: 4550, 12: 2708, 25: 3421, 22: 5553, 27: 2110, 8: 962, 28: 2665, 6: 488, 5: 250, 4: 154, 31: 1350, 30: 762, 9: 1363, 7: 523, 33: 629, 35: 161, 1: 33, 0: 17, 2: 19, 3: 103}, ("SumOfOdds", 7, 4): {18: 5325, 20: 5489, 14: 2709, 25: 5310, 28: 5802, 24: 7375, 29: 3397, 16: 4487, 17: 3663, 15: 2790, 11: 1257, 23: 7672, 26: 8008, 19: 6437, 22: 5187, 9: 587, 27: 2827, 12: 1233, 21: 8147, 13: 2066, 31: 3220, 10: 716, 30: 2521, 8: 409, 33: 2088, 35: 770, 6: 165, 5: 81, 7: 180, 4: 41, 3: 25, 1: 8, 2: 6, 0: 2}, ("SumOfOdds", 7, 5): {24: 7133, 25: 7033, 33: 4414, 16: 2849, 28: 8687, 35: 2197, 13: 980, 31: 5303, 27: 3002, 21: 7246, 20: 4800, 15: 1670, 19: 4345, 23: 7919, 29: 4449, 26: 9503, 22: 3977, 18: 3857, 11: 599, 17: 2168, 30: 5183, 10: 346, 14: 1322, 8: 145, 12: 495, 6: 54, 9: 201, 7: 68, 5: 37, 4: 8, 3: 5, 0: 1, 2: 2, 1: 2}, 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12, 0: 7, 4: 72}, ("SumOfEvens", 5, 6): {24: 17286, 28: 15274, 16: 5274, 30: 9604, 18: 8224, 26: 13565, 22: 16041, 14: 2381, 20: 9688, 10: 671, 12: 1618, 8: 212, 6: 124, 4: 29, 2: 5, 0: 4}, ("SumOfEvens", 5, 7): {26: 13349, 20: 7478, 22: 13863, 16: 3465, 30: 15365, 24: 18114, 28: 19048, 18: 6367, 14: 1478, 6: 52, 12: 973, 8: 102, 10: 330, 4: 12, 0: 3, 2: 1}, ("SumOfEvens", 5, 8): {28: 21211, 30: 22142, 26: 12500, 24: 18376, 22: 11699, 20: 5406, 18: 4912, 14: 771, 16: 2197, 12: 537, 10: 172, 6: 22, 8: 45, 4: 9, 0: 1}, ("SumOfEvens", 6, 1): {12: 13855, 8: 11527, 6: 9535, 14: 12217, 10: 13220, 18: 7641, 20: 5155, 4: 5715, 16: 10036, 2: 3110, 22: 3134, 24: 1769, 0: 1657, 26: 882, 28: 364, 32: 46, 30: 125, 34: 9, 36: 3}, ("SumOfEvens", 6, 2): {16: 12112, 14: 10495, 18: 12962, 20: 12458, 22: 10842, 4: 936, 30: 1777, 12: 8107, 10: 5781, 24: 8362, 28: 3560, 26: 5714, 8: 3286, 34: 279, 6: 1999, 0: 149, 32: 841, 2: 295, 36: 45}, ("SumOfEvens", 6, 3): {34: 1114, 26: 11930, 28: 8967, 16: 7714, 18: 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18840, 28: 13662, 20: 1500, 24: 6361, 18: 984, 16: 453, 14: 154, 12: 87, 10: 22, 8: 4, 4: 1, 6: 2}, ("SumOfEvens", 7, 1): {8: 8939, 24: 3564, 16: 11578, 12: 12690, 10: 11183, 18: 9725, 4: 3653, 6: 6451, 20: 7614, 14: 12463, 30: 591, 22: 5306, 28: 1178, 26: 2087, 32: 276, 0: 780, 2: 1804, 34: 79, 38: 9, 36: 28, 42: 1, 40: 1}, ("SumOfEvens", 7, 2): {20: 11747, 22: 12101, 18: 10694, 30: 4969, 34: 1637, 12: 4933, 28: 7140, 10: 3020, 16: 9103, 14: 7121, 26: 9407, 40: 95, 32: 2990, 24: 10947, 8: 1631, 6: 866, 36: 742, 38: 279, 4: 405, 2: 118, 0: 44, 42: 11}, ("SumOfEvens", 7, 3): {28: 12644, 18: 5753, 22: 10305, 30: 10884, 24: 12043, 34: 5494, 26: 13153, 32: 8457, 20: 8013, 36: 3227, 12: 1178, 16: 3620, 14: 2216, 38: 1526, 40: 457, 42: 73, 10: 585, 8: 255, 4: 32, 6: 78, 0: 4, 2: 3}, ("SumOfEvens", 7, 4): {34: 10022, 20: 4695, 36: 6630, 38: 4042, 30: 13018, 26: 11605, 24: 9234, 22: 6948, 32: 11907, 28: 12907, 40: 1978, 10: 212, 16: 1818, 18: 3010, 42: 424, 14: 940, 12: 482, 8: 84, 6: 33, 2: 3, 4: 7, 0: 1}, ("SumOfEvens", 7, 5): {34: 13412, 36: 10366, 24: 6303, 30: 12713, 26: 8816, 40: 4734, 22: 4347, 38: 7212, 32: 13273, 28: 11561, 20: 2543, 18: 1526, 42: 1564, 14: 395, 16: 920, 12: 186, 8: 31, 10: 80, 4: 4, 6: 14}, ("SumOfEvens", 7, 6): {40: 8464, 32: 12798, 36: 13346, 28: 9389, 38: 10011, 24: 4176, 34: 15385, 30: 11291, 26: 6057, 22: 2683, 42: 3605, 20: 1359, 18: 819, 14: 148, 16: 359, 10: 32, 12: 68, 8: 4, 6: 5, 4: 1}, ("SumOfEvens", 7, 7): {34: 15613, 18: 390, 42: 7149, 36: 15702, 38: 12021, 30: 9525, 40: 12478, 32: 11106, 26: 3913, 28: 7007, 20: 681, 24: 2671, 22: 1511, 14: 69, 16: 135, 8: 2, 12: 23, 10: 3, 6: 1}, ("SumOfEvens", 7, 8): {40: 16137, 26: 2459, 36: 16970, 30: 7669, 38: 12599, 32: 9076, 42: 12085, 34: 14812, 24: 1645, 28: 5058, 22: 824, 20: 339, 18: 204, 14: 24, 16: 77, 12: 18, 10: 4}, ("SumOfEvens", 8, 1): {24: 5501, 14: 11696, 26: 3771, 28: 2435, 16: 11862, 18: 11145, 10: 8598, 32: 813, 6: 4344, 0: 373, 12: 10648, 2: 1020, 22: 7414, 20: 9463, 8: 6532, 30: 1376, 4: 2316, 38: 73, 34: 408, 36: 180, 40: 24, 42: 4, 44: 3, 46: 1}, ("SumOfEvens", 8, 2): {38: 1519, 26: 10879, 16: 6135, 20: 9772, 30: 8043, 32: 6058, 28: 9711, 18: 7865, 24: 11148, 34: 4215, 22: 10922, 10: 1536, 14: 4098, 36: 2718, 12: 2761, 8: 772, 6: 386, 42: 342, 40: 769, 4: 141, 2: 45, 44: 107, 46: 37, 0: 17, 48: 4}, ("SumOfEvens", 8, 3): {30: 12249, 28: 11561, 24: 8306, 36: 7860, 16: 1616, 40: 3315, 22: 6221, 38: 5627, 34: 10070, 18: 2630, 32: 11747, 20: 4428, 26: 10158, 42: 1741, 14: 874, 44: 669, 12: 430, 46: 173, 10: 187, 8: 65, 4: 5, 6: 39, 48: 28, 2: 1}, ("SumOfEvens", 8, 4): {40: 7009, 34: 12243, 28: 9047, 32: 12344, 38: 9623, 30: 10811, 16: 621, 42: 4569, 26: 6864, 44: 2425, 18: 1160, 36: 11307, 22: 3304, 48: 216, 24: 4882, 10: 59, 46: 1035, 20: 1982, 14: 294, 6: 8, 12: 167, 8: 26, 2: 2, 4: 1, 0: 1}, ("SumOfEvens", 8, 5): {40: 10958, 36: 12458, 30: 8178, 34: 12180, 38: 12260, 24: 2712, 42: 7933, 28: 6229, 32: 10485, 14: 108, 22: 1654, 46: 2920, 26: 4229, 20: 918, 44: 5192, 48: 814, 16: 222, 18: 467, 8: 11, 6: 3, 4: 1, 10: 17, 12: 51}, ("SumOfEvens", 8, 6): {36: 12064, 48: 2382, 26: 2376, 24: 1455, 44: 8361, 28: 3916, 40: 13920, 42: 11359, 38: 12862, 32: 7846, 46: 5912, 30: 5727, 34: 10367, 18: 208, 16: 78, 22: 753, 20: 361, 14: 30, 10: 6, 12: 15, 6: 1, 8: 1}, ("SumOfEvens", 8, 7): {34: 8619, 42: 13899, 32: 5303, 36: 10651, 30: 3778, 46: 10004, 28: 2390, 38: 12089, 40: 14999, 44: 10574, 48: 5042, 8: 3, 26: 1228, 24: 767, 22: 381, 18: 74, 20: 152, 16: 27, 12: 5, 14: 11, 10: 4}, ("SumOfEvens", 8, 8): {40: 14996, 38: 10354, 46: 13670, 42: 16214, 48: 9039, 30: 2458, 32: 3565, 36: 8996, 44: 11803, 34: 6358, 26: 611, 28: 1321, 24: 352, 22: 163, 18: 36, 20: 51, 16: 6, 14: 3, 10: 4}, ("DoubleThreesAndFours", 1, 1): {6: 16591, 8: 16660, 0: 66749}, ("DoubleThreesAndFours", 1, 2): {0: 44675, 6: 27694, 8: 27631}, ("DoubleThreesAndFours", 1, 3): {8: 35147, 6: 35261, 0: 29592}, ("DoubleThreesAndFours", 1, 4): {8: 45993, 0: 24601, 6: 29406}, ("DoubleThreesAndFours", 1, 5): {0: 20499, 8: 55081, 6: 24420}, ("DoubleThreesAndFours", 1, 6): {8: 62657, 6: 20227, 0: 17116}, ("DoubleThreesAndFours", 1, 7): {8: 68747, 6: 17060, 0: 14193}, ("DoubleThreesAndFours", 1, 8): {6: 13924, 8: 74099, 0: 11977}, ("DoubleThreesAndFours", 2, 1): {0: 44382, 6: 22191, 14: 5568, 12: 2892, 8: 22251, 16: 2716}, ("DoubleThreesAndFours", 2, 2): {14: 15403, 0: 19720, 6: 24652, 12: 7693, 8: 24891, 16: 7641}, ("DoubleThreesAndFours", 2, 3): {8: 20929, 14: 24721, 16: 12376, 0: 8765, 12: 12201, 6: 21008}, ("DoubleThreesAndFours", 2, 4): {14: 26935, 6: 14466, 16: 21136, 8: 22828, 12: 8471, 0: 6164}, ("DoubleThreesAndFours", 2, 5): {8: 22620, 14: 26822, 12: 6057, 16: 30189, 6: 10005, 0: 4307}, ("DoubleThreesAndFours", 2, 6): {14: 25326, 16: 39078, 0: 2879, 12: 4204, 8: 21466, 6: 7047}, ("DoubleThreesAndFours", 2, 7): {16: 47373, 8: 19698, 14: 23404, 6: 4637, 12: 2846, 0: 2042}, ("DoubleThreesAndFours", 2, 8): {16: 54542, 14: 20907, 0: 1385, 8: 17795, 6: 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("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, ("OneTwoOneConsecutive", 5, 6): {30: 76850, 0: 23150}, ("OneTwoOneConsecutive", 5, 7): {30: 80423, 0: 19577}, ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, ("OneTwoOneConsecutive", 7, 5): {30: 92280, 0: 7720}, ("OneTwoOneConsecutive", 7, 6): {30: 94446, 0: 5554}, ("OneTwoOneConsecutive", 7, 7): {30: 95894, 0: 4106}, ("OneTwoOneConsecutive", 7, 8): {30: 96975, 0: 3025}, ("OneTwoOneConsecutive", 8, 1): {30: 59307, 0: 40693}, ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, ("OneTwoOneConsecutive", 8, 3): {30: 91805, 0: 8195}, ("OneTwoOneConsecutive", 8, 4): {30: 94617, 0: 5383}, ("OneTwoOneConsecutive", 8, 5): {30: 96605, 0: 3395}, ("OneTwoOneConsecutive", 8, 6): {30: 97701, 0: 2299}, ("OneTwoOneConsecutive", 8, 7): {30: 98588, 0: 1412}, ("OneTwoOneConsecutive", 8, 8): {30: 99128, 0: 872}, ("ThreeDistinctDice", 1, 1): {0: 100000}, ("ThreeDistinctDice", 1, 2): {0: 100000}, ("ThreeDistinctDice", 1, 3): {0: 100000}, ("ThreeDistinctDice", 1, 4): {0: 100000}, ("ThreeDistinctDice", 1, 5): {0: 100000}, ("ThreeDistinctDice", 1, 6): {0: 100000}, ("ThreeDistinctDice", 1, 7): {0: 100000}, ("ThreeDistinctDice", 1, 8): {0: 100000}, ("ThreeDistinctDice", 2, 1): {0: 100000}, ("ThreeDistinctDice", 2, 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82817, 0: 17183}, ("TwoPair", 6, 3): {30: 93241, 0: 6759}, ("TwoPair", 6, 4): {30: 97438, 0: 2562}, ("TwoPair", 6, 5): {30: 99052, 0: 948}, ("TwoPair", 6, 6): {30: 99625, 0: 375}, ("TwoPair", 6, 7): {30: 99862, 0: 138}, ("TwoPair", 6, 8): {30: 99943, 0: 57}, ("TwoPair", 7, 1): {0: 19888, 30: 80112}, ("TwoPair", 7, 2): {30: 96065, 0: 3935}, ("TwoPair", 7, 3): {30: 99199, 0: 801}, ("TwoPair", 7, 4): {30: 99825, 0: 175}, ("TwoPair", 7, 5): {30: 99969, 0: 31}, ("TwoPair", 7, 6): {30: 99993, 0: 7}, ("TwoPair", 7, 7): {30: 99998, 0: 2}, ("TwoPair", 7, 8): {30: 100000}, ("TwoPair", 8, 1): {30: 93209, 0: 6791}, ("TwoPair", 8, 2): {30: 99412, 0: 588}, ("TwoPair", 8, 3): {30: 99939, 0: 61}, ("TwoPair", 8, 4): {30: 99994, 0: 6}, ("TwoPair", 8, 5): {30: 100000}, ("TwoPair", 8, 6): {30: 100000}, ("TwoPair", 8, 7): {30: 100000}, ("TwoPair", 8, 8): {30: 100000}, ("TwoOneTwoConsecutive", 1, 1): {0: 100000}, ("TwoOneTwoConsecutive", 1, 2): {0: 100000}, ("TwoOneTwoConsecutive", 1, 3): {0: 100000}, ("TwoOneTwoConsecutive", 1, 4): {0: 100000}, ("TwoOneTwoConsecutive", 1, 5): {0: 100000}, ("TwoOneTwoConsecutive", 1, 6): {0: 100000}, ("TwoOneTwoConsecutive", 1, 7): {0: 100000}, ("TwoOneTwoConsecutive", 1, 8): {0: 100000}, ("TwoOneTwoConsecutive", 2, 1): {0: 100000}, ("TwoOneTwoConsecutive", 2, 2): {0: 100000}, ("TwoOneTwoConsecutive", 2, 3): {0: 100000}, ("TwoOneTwoConsecutive", 2, 4): {0: 100000}, ("TwoOneTwoConsecutive", 2, 5): {0: 100000}, ("TwoOneTwoConsecutive", 2, 6): {0: 100000}, ("TwoOneTwoConsecutive", 2, 7): {0: 100000}, ("TwoOneTwoConsecutive", 2, 8): {0: 100000}, ("TwoOneTwoConsecutive", 3, 1): {0: 100000}, ("TwoOneTwoConsecutive", 3, 2): {0: 100000}, ("TwoOneTwoConsecutive", 3, 3): {0: 100000}, ("TwoOneTwoConsecutive", 3, 4): {0: 100000}, ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, ("FiveDistinctDice", 1, 1): {0: 100000}, ("FiveDistinctDice", 1, 2): {0: 100000}, ("FiveDistinctDice", 1, 3): {0: 100000}, ("FiveDistinctDice", 1, 4): {0: 100000}, ("FiveDistinctDice", 1, 5): {0: 100000}, ("FiveDistinctDice", 1, 6): {0: 100000}, ("FiveDistinctDice", 1, 7): {0: 100000}, ("FiveDistinctDice", 1, 8): {0: 100000}, ("FiveDistinctDice", 2, 1): {0: 100000}, ("FiveDistinctDice", 2, 2): {0: 100000}, ("FiveDistinctDice", 2, 3): {0: 100000}, ("FiveDistinctDice", 2, 4): {0: 100000}, ("FiveDistinctDice", 2, 5): {0: 100000}, ("FiveDistinctDice", 2, 6): {0: 100000}, ("FiveDistinctDice", 2, 7): {0: 100000}, ("FiveDistinctDice", 2, 8): {0: 100000}, ("FiveDistinctDice", 3, 1): {0: 100000}, ("FiveDistinctDice", 3, 2): {0: 100000}, ("FiveDistinctDice", 3, 3): {0: 100000}, ("FiveDistinctDice", 3, 4): {0: 100000}, ("FiveDistinctDice", 3, 5): {0: 100000}, ("FiveDistinctDice", 3, 6): {0: 100000}, ("FiveDistinctDice", 3, 7): {0: 100000}, ("FiveDistinctDice", 3, 8): {0: 100000}, ("FiveDistinctDice", 4, 1): {0: 100000}, ("FiveDistinctDice", 4, 2): {0: 100000}, ("FiveDistinctDice", 4, 3): {0: 100000}, ("FiveDistinctDice", 4, 4): {0: 100000}, ("FiveDistinctDice", 4, 5): {0: 100000}, ("FiveDistinctDice", 4, 6): {0: 100000}, ("FiveDistinctDice", 4, 7): {0: 100000}, ("FiveDistinctDice", 4, 8): {0: 100000}, ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, ("FourAndFiveFullHouse", 1, 1): {0: 100000}, ("FourAndFiveFullHouse", 1, 2): {0: 100000}, ("FourAndFiveFullHouse", 1, 3): {0: 100000}, ("FourAndFiveFullHouse", 1, 4): {0: 100000}, ("FourAndFiveFullHouse", 1, 5): {0: 100000}, ("FourAndFiveFullHouse", 1, 6): {0: 100000}, ("FourAndFiveFullHouse", 1, 7): {0: 100000}, ("FourAndFiveFullHouse", 1, 8): {0: 100000}, ("FourAndFiveFullHouse", 2, 1): {0: 100000}, ("FourAndFiveFullHouse", 2, 2): {0: 100000}, ("FourAndFiveFullHouse", 2, 3): {0: 100000}, ("FourAndFiveFullHouse", 2, 4): {0: 100000}, ("FourAndFiveFullHouse", 2, 5): {0: 100000}, ("FourAndFiveFullHouse", 2, 6): {0: 100000}, ("FourAndFiveFullHouse", 2, 7): {0: 100000}, ("FourAndFiveFullHouse", 2, 8): {0: 100000}, ("FourAndFiveFullHouse", 3, 1): {0: 100000}, ("FourAndFiveFullHouse", 3, 2): {0: 100000}, ("FourAndFiveFullHouse", 3, 3): {0: 100000}, ("FourAndFiveFullHouse", 3, 4): {0: 100000}, ("FourAndFiveFullHouse", 3, 5): {0: 100000}, ("FourAndFiveFullHouse", 3, 6): {0: 100000}, ("FourAndFiveFullHouse", 3, 7): {0: 100000}, ("FourAndFiveFullHouse", 3, 8): {0: 100000}, ("FourAndFiveFullHouse", 4, 1): {0: 100000}, ("FourAndFiveFullHouse", 4, 2): {0: 100000}, ("FourAndFiveFullHouse", 4, 3): {0: 100000}, ("FourAndFiveFullHouse", 4, 4): {0: 100000}, ("FourAndFiveFullHouse", 4, 5): {0: 100000}, ("FourAndFiveFullHouse", 4, 6): {0: 100000}, ("FourAndFiveFullHouse", 4, 7): {0: 100000}, ("FourAndFiveFullHouse", 4, 8): {0: 100000}, ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index c24e8ac73fd4..adb3d6ee9cef 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,11 +1,13 @@ +import math +import logging + from BaseClasses import Region, Entrance, Item, Tutorial -from .Items import YachtDiceItem, item_table, ITEM_GROUPS +from .Items import YachtDiceItem, item_table, item_groups from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions -from .Rules import set_yacht_rules, set_yacht_completion_rules, diceSimulation +from .Rules import set_yacht_rules, set_yacht_completion_rules, dice_simulation from ..AutoWorld import World, WebWorld -import math -import logging + class YachtDiceWeb(WebWorld): tutorials = [Tutorial( @@ -24,7 +26,7 @@ class YachtDiceWorld(World): where you cast your dice to chart a course for high scores, unlocking valuable treasures along the way. Discover more dice, extra rolls, multipliers, - and unlockable categories to navigate the game's depths. + and unlockable categories to navigate the depths of the game. Roll your way to victory by reaching the target score! """ game: str = "Yacht Dice" @@ -36,7 +38,7 @@ class YachtDiceWorld(World): location_name_to_id = {name: data.id for name, data in all_locations.items()} - item_name_groups = ITEM_GROUPS + item_name_groups = item_groups ap_world_version = "2.0.2" @@ -56,12 +58,12 @@ def generate_early(self): #number of dice and rolls in the pull ind_dice_rolls = self.options.minimal_number_of_dice_and_rolls.value - numDice = [0, 2, 5, 5, 6, 7, 8][ind_dice_rolls] - numRolls = [0, 2, 3, 5, 4, 3, 2][ind_dice_rolls] + num_of_dice = [0, 2, 5, 5, 6, 7, 8][ind_dice_rolls] + num_of_rolls = [0, 2, 3, 5, 4, 3, 2][ind_dice_rolls] #amount of dice and roll fragments needed to get a dice or roll - amDiceF = self.options.number_of_dice_fragments_per_dice.value - amRollsF = self.options.number_of_roll_fragments_per_roll.value + frags_per_dice = self.options.number_of_dice_fragments_per_dice.value + frags_per_roll = self.options.number_of_roll_fragments_per_roll.value #count number of plando items not from pool, we need extra locations for them self.extra_plando_items = 0 @@ -117,18 +119,18 @@ def generate_early(self): self.precollected += ["Dice"] #if one fragment per dice, just add "Dice" objects - if amDiceF == 1: - self.itempool += ["Dice"] * (numDice-1) #minus one because one is in start inventory + if frags_per_dice == 1: + self.itempool += ["Dice"] * (num_of_dice-1) #minus one because one is in start inventory else: - self.itempool += ["Dice"] #always add a full dice to make generation easier (will be 'early') - self.itempool += ["Dice Fragment"] * (amDiceF * (numDice-2)) + self.itempool += ["Dice"] #always add a full dice to make generation easier (will be early) + self.itempool += ["Dice Fragment"] * (frags_per_dice * (num_of_dice-2)) #if one fragment per roll, just add "Roll" objects - if amRollsF == 1: - self.itempool += ["Roll"] * (numRolls-1) #minus one because one is in start inventory + if frags_per_roll == 1: + self.itempool += ["Roll"] * (num_of_rolls-1) #minus one because one is in start inventory else: - self.itempool += ["Roll"] #always add a full roll to make generation easier (will be 'early') - self.itempool += ["Roll Fragment"] * (amRollsF * (numRolls-2)) + self.itempool += ["Roll"] #always add a full roll to make generation easier (will be early) + self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls-2)) already_items = len(self.itempool) + self.extra_plando_items @@ -138,7 +140,7 @@ def generate_early(self): else: extraPercentage = 0.7 - extraLocationsNeeded = max(10, math.ceil(already_items * extraPercentage)) + extra_locations_needed = max(10, math.ceil(already_items * extraPercentage)) self.max_score = self.options.score_for_last_check.value self.goal_score = min(self.max_score, self.options.score_for_goal.value) @@ -153,25 +155,25 @@ def generate_early(self): ] #if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice - if weights[0] > 0 and amDiceF > 1: - self.itempool += ["Dice Fragment"] * (amDiceF - 1) - if weights[1] > 0 and amRollsF > 1: - self.itempool += ["Roll Fragment"] * (amRollsF - 1) + if weights[0] > 0 and frags_per_dice > 1: + self.itempool += ["Dice Fragment"] * (frags_per_dice - 1) + if weights[1] > 0 and frags_per_roll > 1: + self.itempool += ["Roll Fragment"] * (frags_per_roll - 1) #calibrate the weights, since the impact of each of the items is different - weights[0] = weights[0] / 5 * amDiceF - weights[1] = weights[1] / 5 * amRollsF + weights[0] = weights[0] / 5 * frags_per_dice + weights[1] = weights[1] / 5 * frags_per_roll extraPointsAdded = 0 - while diceSimulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: - allitems = self.itempool + self.precollected - dice_fragments_in_pool = allitems.count("Dice") * amDiceF + allitems.count("Dice Fragment") - if dice_fragments_in_pool + 1 >= 9 * amDiceF: - weights[0] = 0 #can't have 9 dice - roll_fragments_in_pool = allitems.count("Roll") * amRollsF + allitems.count("Roll Fragment") - if roll_fragments_in_pool + 1 >= 6 * amRollsF: - weights[1] = 0 # can't have 6 rolls + while dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: + all_items = self.itempool + self.precollected + dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") + if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: + weights[0] = 0 #cannot have 9 dice + roll_fragments_in_pool = all_items.count("Roll") * frags_per_roll + all_items.count("Roll Fragment") + if roll_fragments_in_pool + 1 >= 6 * frags_per_roll: + weights[1] = 0 # cannot have 6 rolls if extraPointsAdded > 300: weights[5] = 0 @@ -185,17 +187,17 @@ def generate_early(self): which_item_to_add = self.multiworld.random.choices([0,1,2,3,4,5], weights = weights)[0] if which_item_to_add == 0: - if amDiceF == 1: + if frags_per_dice == 1: self.itempool += ["Dice"] else: self.itempool += ["Dice Fragment"] - weights[0] /= (1 + amDiceF) + weights[0] /= (1 + frags_per_dice) elif which_item_to_add == 1: - if amRollsF == 1: + if frags_per_roll == 1: self.itempool += ["Roll"] else: self.itempool += ["Roll Fragment"] - weights[1] /= (1 + amRollsF) + weights[1] /= (1 + frags_per_roll) elif which_item_to_add == 2: self.itempool += ["Fixed Score Multiplier"] weights[2] /= 1.05 @@ -240,9 +242,9 @@ def generate_early(self): #and counts number of plando items *not* from pool. already_items = len(self.itempool) + self.extra_plando_items + 1 #+1 because of Victory item - self.number_of_locations = already_items + extraLocationsNeeded + self.number_of_locations = already_items + extra_locations_needed - # From here, we'll count the number of items in the self.itempool, and add items to the pool, + # From here, we will count the number of items in the self.itempool, and add items to the pool, # making sure not to exceed the number of locations. #first, we flood the entire pool with extra points (useful), if that setting is chosen. @@ -282,7 +284,7 @@ def generate_early(self): self.itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) #finally, add some "Good RNG" and "Bad RNG" items to complete the item pool - #these items are filler and don't do anything. + #these items are filler and do not do anything. #probability of Good and Bad rng, based on difficulty for fun :) p = 1.1 - 0.25 * self.options.game_difficulty.value @@ -294,7 +296,7 @@ def generate_early(self): k=self.number_of_locations - already_items ) - #we're done adding items. Now because of the last step, number of items should be number of locations + #we are done adding items. Now because of the last step, number of items should be number of locations already_items = len(self.itempool) + self.extra_plando_items + 1 if already_items != self.number_of_locations: raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " @@ -345,13 +347,13 @@ def set_rules(self): set_yacht_rules(self.multiworld, self.player, self.options) set_yacht_completion_rules(self.multiworld, self.player) - maxScoreWithItems = diceSimulation(self.multiworld.get_all_state(False), self.player, self.options) + maxScoreWithItems = dice_simulation(self.multiworld.get_all_state(False), self.player, self.options) if self.goal_score > maxScoreWithItems: raise Exception("In Yacht Dice, with all items in the pool, it is impossible to get to the goal.") def pre_fill(self): - #in the pre_fill, make sure one dice and one roll is early, so that you'll have 2 dice and 2 rolls soon + #in the pre_fill, make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon self.multiworld.early_items[self.player]["Dice"] = 1 self.multiworld.early_items[self.player]["Roll"] = 1 diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md index f55de8bccb53..671e5ea830de 100644 --- a/worlds/yachtdice/docs/setup_en.md +++ b/worlds/yachtdice/docs/setup_en.md @@ -10,7 +10,7 @@ Open the Yacht Dice website. There are two options: - Download the latest release from [Yacht Dice Releases](https://github.com/spinerak/ArchipelagoYachtDice/releases) and unzip the Website.zip. Then open player.html in your browser. - Cruise over to the [Yacht Dice website](https://yacht-dice-ap.netlify.app/). This also works on mobile. If the website is not available, use the first option. -The website has an offline play option to try out the game without having to generate a game first. +Both options have an "offline" play option to try out the game without having to generate a game first. ## Play with Archipelago From d570ba6677cf35f80c03f08c02e904074e7200fe Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 5 Jun 2024 23:50:10 +0200 Subject: [PATCH 033/127] restore gitignore to APMW --- .gitignore | 1086 ++++++++++------------------------------------------ 1 file changed, 198 insertions(+), 888 deletions(-) diff --git a/.gitignore b/.gitignore index 5d50a0cab7aa..022abe38fe40 100644 --- a/.gitignore +++ b/.gitignore @@ -1,890 +1,200 @@ +.idea +.vscode -/__pycache__ -/logs -/output -host.yaml -_persistent_storage.yaml -/Players -/worlds/__pycache__ -/worlds/_bizhawk/__pycache__ -/worlds/adventure -/worlds/ahit -worlds/alttp/__pycache__/__init__.cpython-311.pyc -worlds/alttp/__pycache__/Bosses.cpython-311.pyc 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+*.apm3 +*.apmc +*.apz5 +*.aptloz +*.apemerald *.pyc -worlds/yachtdice.apworld -GenerateManyTimes.py -profiler_stats.txt +*.pyd +*.sfc +*.z64 +*.n64 +*.nes +*.smc +*.sms +*.gb +*.gbc +*.gba +*.wixobj +*.lck +*.db3 +*multidata +*multisave +*.archipelago +*.apsave +*.BIN +*.puml + +setups +build +bundle/components.wxs +dist +/prof/ +README.html +.vs/ +EnemizerCLI/ +/Players/ +/SNI/ +/sni-*/ +/appimagetool* +/host.yaml +/options.yaml +/config.yaml +/logs/ +_persistent_storage.yaml +mystery_result_*.yaml +*-errors.txt +success.txt +output/ +Output Logs/ +/factorio/ +/Minecraft Forge Server/ +/WebHostLib/static/generated +/freeze_requirements.txt +/Archipelago.zip +/setup.ini +/installdelete.iss +/data/user.kv +/datapackage + +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so +*.dll + +# Distribution / packaging +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt +installer.log + +# Unit test / coverage reports +htmlcov/ +.tox/ +.nox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +*.py,cover +.hypothesis/ +.pytest_cache/ +cover/ + + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +.pybuilder/ +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# IPython +profile_default/ +ipython_config.py + +# vim editor +*.swp + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv* +env/ +venv/ +/venv*/ +ENV/ +env.bak/ +venv.bak/ +.code-workspace +shell.nix + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ +.dmypy.json +dmypy.json + +# Pyre type checker +.pyre/ + +# pytype static type analyzer +.pytype/ + +# Cython debug symbols +cython_debug/ + +# Cython intermediates +_speedups.cpp +_speedups.html + +# minecraft server stuff +jdk*/ +minecraft*/ +minecraft_versions.json +!worlds/minecraft/ + +# pyenv +.python-version + +#undertale stuff +/Undertale/ + +# OS General Files +.DS_Store +.AppleDouble +.LSOverride +Thumbs.db +[Dd]esktop.ini From 046463113ca5b9122c566e4c8b308ce5e7f9b157 Mon Sep 17 00:00:00 2001 From: spinerak Date: Thu, 6 Jun 2024 02:54:35 +0200 Subject: [PATCH 034/127] Tweaked generation parameters and methods --- worlds/yachtdice/Options.py | 8 ++++---- worlds/yachtdice/__init__.py | 39 ++++++++++++++++++++---------------- 2 files changed, 26 insertions(+), 21 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 32eec57911e7..87159ae56d3c 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -45,7 +45,6 @@ class minimalNumberOfDiceAndRolls(Choice): You start with one dice and one roll. """ display_name = "Minimal number of dice and rolls in pool" - option_2_dice_and_2_rolls = 1 option_5_dice_and_3_rolls = 2 option_5_dice_and_5_rolls = 3 option_6_dice_and_4_rolls = 4 @@ -170,9 +169,10 @@ class pointsSize(Choice): class minimizeExtraItems(Choice): """ - Besides necessary items, Yacht Dice has extra items in the item pool. - It is possible however to decrease the number of extra items - by putting categories Fives, Sixes and Pair early into the playthrough. Would you like to do this? + Besides necessary items, Yacht Dice has extra useful/filler items in the item pool. + It is possible however to decrease the number of extra items in multiplayer games. + Do you want to reduce the number of extra items? + (this option only does something in multiplayer games) """ display_name = "Minimize extra items" option_no_dont = 1 diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index adb3d6ee9cef..0cb7d7fe52eb 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -51,7 +51,7 @@ def _get_yachtdice_data(self): "race": self.multiworld.is_race, } - def generate_early(self): + def generate_early(self): self.itempool = [] self.precollected = [] @@ -136,7 +136,7 @@ def generate_early(self): #Yacht Dice needs extra filler items so it doesn't get stuck in generation. if self.options.minimize_extra_items.value == 2: - extraPercentage = max(0.1, 0.5 - self.multiworld.players / 10) + extraPercentage = max(0.1, 0.8 - self.multiworld.players / 10) else: extraPercentage = 0.7 @@ -164,7 +164,8 @@ def generate_early(self): weights[0] = weights[0] / 5 * frags_per_dice weights[1] = weights[1] / 5 * frags_per_roll - extraPointsAdded = 0 + extra_points_added = 0 + multipliers_added = 0 while dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: all_items = self.itempool + self.precollected @@ -175,14 +176,20 @@ def generate_early(self): if roll_fragments_in_pool + 1 >= 6 * frags_per_roll: weights[1] = 0 # cannot have 6 rolls - if extraPointsAdded > 300: - weights[5] = 0 + if multipliers_added > 50: + weights[2] = 0 + weights[3] = 0 + + if extra_points_added > 300: + weights[5] = 0 #if all weights are zero, allow to add fixed score multiplier, double category, points. if sum(weights) == 0: - weights[2] = 1 + if multipliers_added <= 50: + weights[2] = 1 weights[4] = 1 - weights[5] = 1 + if extra_points_added <= 300: + weights[5] = 1 which_item_to_add = self.multiworld.random.choices([0,1,2,3,4,5], weights = weights)[0] @@ -201,9 +208,11 @@ def generate_early(self): elif which_item_to_add == 2: self.itempool += ["Fixed Score Multiplier"] weights[2] /= 1.05 + multipliers_added += 1 elif which_item_to_add == 3: self.itempool += ["Step Score Multiplier"] weights[3] /= 1.1 + multipliers_added += 1 elif which_item_to_add == 4: #increase chances of "free-score categories" cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] @@ -223,25 +232,27 @@ def generate_early(self): c = self.multiworld.random.choices([0,1,2], weights = probs)[0] if c == 0: self.itempool += ["1 Point"] - extraPointsAdded += 1 + extra_points_added += 1 weights[5] /= 1.01 elif c==1: self.itempool += ["10 Points"] - extraPointsAdded += 10 + extra_points_added += 10 weights[5] /= 1.1 elif c==2: self.itempool += ["100 Points"] - extraPointsAdded += 100 + extra_points_added += 100 weights[5] /= 2 else: raise Exception("Unknown point value (Yacht Dice)") else: raise Exception("Invalid index when adding new items in Yacht Dice") - + #count the number of locations in the game. extra_plando_items is set in generate_early #and counts number of plando items *not* from pool. already_items = len(self.itempool) + self.extra_plando_items + 1 #+1 because of Victory item + + extra_locations_needed += (already_items - 70) // 20 self.number_of_locations = already_items + extra_locations_needed # From here, we will count the number of items in the self.itempool, and add items to the pool, @@ -356,12 +367,6 @@ def pre_fill(self): #in the pre_fill, make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon self.multiworld.early_items[self.player]["Dice"] = 1 self.multiworld.early_items[self.player]["Roll"] = 1 - - #put more items early since we want less extra items. - if self.options.minimize_extra_items.value == 2: - self.multiworld.early_items[self.player]["Category Pair"] = 1 - self.multiworld.early_items[self.player]["Category Fives"] = 1 - self.multiworld.early_items[self.player]["Category Sixes"] = 1 def fill_slot_data(self): #make slot data, which consists of yachtdice_data, options, and some other variables. From be6576253203529e936a47f56fd27a4b43b82a79 Mon Sep 17 00:00:00 2001 From: spinerak Date: Thu, 6 Jun 2024 16:26:33 +0200 Subject: [PATCH 035/127] Version 2.0.3 manual input option max score in logic always 2.0.3 faster gen --- worlds/yachtdice/Options.py | 16 +++++++++++++++- worlds/yachtdice/Rules.py | 3 ++- worlds/yachtdice/__init__.py | 7 ++++--- 3 files changed, 21 insertions(+), 5 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 87159ae56d3c..d1ef8cd7383e 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -229,6 +229,18 @@ class whichStory(Choice): option_random_story = -1 default = -1 +class allowManual(Choice): + """ + Yacht Dice allows players to roll IRL dice. + By sending "manual" in the chat, a input field appears where you can type your dice rolls. + Of course we cannot check anymore if the player is playing fair. + Do you want to allow manual input of rolls? + """ + display_name = "Allow manual inputs" + option_yes_allow = 1 + option_no_dont_allow = 2 + default = 1 + @dataclass class YachtDiceOptions(PerGameCommonOptions): game_difficulty: gameDifficulty @@ -253,4 +265,6 @@ class YachtDiceOptions(PerGameCommonOptions): minimize_extra_items: minimizeExtraItems add_bonus_points: addExtraPoints add_story_chapters: addStoryChapters - which_story: whichStory \ No newline at end of file + which_story: whichStory + + allow_manual_input: allowManual \ No newline at end of file diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 42f83afc4b24..fbd7db26c09d 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -197,7 +197,8 @@ def percentile_distribution(dist, percentile): total_dist = add_distributions(total_dist, dist) #save result into the cache, then return it - yachtdice_cache[tup] = math.floor(sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return)) + outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) + yachtdice_cache[tup] = max(5, math.floor(outcome)) return yachtdice_cache[tup] # Returns the feasible score that one can reach with the current state, options and difficulty. diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 0cb7d7fe52eb..f0dc86fc900e 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -40,7 +40,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.0.2" + ap_world_version = "2.0.3" def _get_yachtdice_data(self): return { @@ -135,7 +135,7 @@ def generate_early(self): already_items = len(self.itempool) + self.extra_plando_items #Yacht Dice needs extra filler items so it doesn't get stuck in generation. - if self.options.minimize_extra_items.value == 2: + if self.options.minimize_extra_items.value: extraPercentage = max(0.1, 0.8 - self.multiworld.players / 10) else: extraPercentage = 0.7 @@ -391,7 +391,8 @@ def fill_slot_data(self): "minimize_extra_items", "add_bonus_points", "add_story_chapters", - "which_story" + "which_story", + "allow_manual_input" ) slot_data = {**yacht_dice_data, **yacht_dice_options} #combine the two From 1e935fb9e8fde669d8120b1bba518a3dbd2f71ba Mon Sep 17 00:00:00 2001 From: spinerak Date: Thu, 6 Jun 2024 22:54:40 +0200 Subject: [PATCH 036/127] Comments and editing --- worlds/yachtdice/Items.py | 17 ++++------- worlds/yachtdice/Locations.py | 3 +- worlds/yachtdice/Rules.py | 24 +++++++++------- worlds/yachtdice/__init__.py | 54 ++++++++++++++++------------------- 4 files changed, 44 insertions(+), 54 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index cc2f30e02813..011aaed7fd7e 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -11,6 +11,7 @@ class YachtDiceItem(Item): #the starting index is chosen semi-randomly to be 16871244000 item_table = { + #victory item, always placed manually at goal location "Victory": ItemData(16871244000-1, ItemClassification.progression), "Dice": ItemData(16871244000, ItemClassification.progression), @@ -18,7 +19,7 @@ class YachtDiceItem(Item): "Roll": ItemData(16871244002, ItemClassification.progression), "Roll Fragment": ItemData(16871244003, ItemClassification.progression), - "Score Multiplier": ItemData(16871244004, ItemClassification.progression), + #"Score Multiplier": ItemData(16871244004, ItemClassification.progression), #not used anymore "Fixed Score Multiplier": ItemData(16871244005, ItemClassification.progression), "Step Score Multiplier": ItemData(16871244006, ItemClassification.progression), @@ -28,10 +29,8 @@ class YachtDiceItem(Item): "Category Fours": ItemData(16871244106, ItemClassification.progression), "Category Fives": ItemData(16871244107, ItemClassification.progression), "Category Sixes": ItemData(16871244108, ItemClassification.progression), - "Category Choice": ItemData(16871244109, ItemClassification.progression), "Category Inverse Choice": ItemData(16871244110, ItemClassification.progression), - "Category Pair": ItemData(16871244111, ItemClassification.progression), "Category Three of a Kind": ItemData(16871244112, ItemClassification.progression), "Category Four of a Kind": ItemData(16871244113, ItemClassification.progression), @@ -47,10 +46,8 @@ class YachtDiceItem(Item): "Category Twos and Threes": ItemData(16871244126, ItemClassification.progression), "Category Sum of Odds": ItemData(16871244127, ItemClassification.progression), "Category Sum of Evens": ItemData(16871244128, ItemClassification.progression), - "Category Double Threes and Fours": ItemData(16871244129, ItemClassification.progression), "Category Quadruple Ones and Twos": ItemData(16871244130, ItemClassification.progression), - "Category Micro Straight": ItemData(16871244131, ItemClassification.progression), "Category Three Odds": ItemData(16871244132, ItemClassification.progression), "Category 1-2-1 Consecutive": ItemData(16871244133, ItemClassification.progression), @@ -60,7 +57,7 @@ class YachtDiceItem(Item): "Category Five Distinct Dice": ItemData(16871244137, ItemClassification.progression), "Category 4&5 Full House": ItemData(16871244138, ItemClassification.progression), - + #filler items "Encouragement": ItemData(16871244200, ItemClassification.filler), "Fun Fact": ItemData(16871244201, ItemClassification.filler), "Story Chapter": ItemData(16871244202, ItemClassification.filler), @@ -68,14 +65,15 @@ class YachtDiceItem(Item): "Bad RNG": ItemData(16871244204, ItemClassification.trap), "Bonus Point": ItemData(16871244205, ItemClassification.useful), #not included in logic + #These points are included in the logic and might be necessary to progress. "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), "10 Points": ItemData(16871244302, ItemClassification.progression), "100 Points": ItemData(16871244303, ItemClassification.progression) } +#item groups for better hinting item_groups = { "Score Multiplier": { - "Score Multiplier", "Step Score Multiplier", "Fixed Score Multiplier" }, @@ -86,10 +84,8 @@ class YachtDiceItem(Item): "Category Fours", "Category Fives", "Category Sixes", - "Category Choice", "Category Inverse Choice", - "Category Pair", "Category Three of a Kind", "Category Four of a Kind", @@ -98,17 +94,14 @@ class YachtDiceItem(Item): "Category Large Straight", "Category Full House", "Category Yacht", - "Category Distincts", "Category Two times Ones", "Category Half of Sixes", "Category Twos and Threes", "Category Sum of Odds", "Category Sum of Evens", - "Category Double Threes and Fours", "Category Quadruple Ones and Twos", - "Category Micro Straight", "Category Three Odds", "Category 1-2-1 Consecutive", diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 1bd091767be6..1b0adccaac35 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -32,7 +32,7 @@ def ini_locations(goal_score, max_score, num_locs, dif): if dif == 1: scaling = 3 elif dif == 2: - scaling = 2.2 + scaling = 2.3 scores = [] #the scores follow the function int( 1 + (perc ** scaling) * (max_score-1) ) @@ -64,5 +64,4 @@ def ini_locations(goal_score, max_score, num_locs, dif): lookup_id_to_name: typing.Dict[int, str] = {data.id: item_name for item_name, data in all_locations.items() if data.id} # we need to run this function to initialize all scores from 1 to 1000, even though not all are used -# this in order to make sure no other worlds use any ids that are similar to Yacht Dice all_locations = all_locations_fun(1000) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index fbd7db26c09d..a81e17bb5688 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -4,6 +4,7 @@ import math from collections import defaultdict +#List of categories, and the name of the logic class associated with it category_mappings = { "Category Ones": "Ones", "Category Twos": "Twos", @@ -49,7 +50,6 @@ #The score is logic is *much* lower than the actual maximum reachable score. - class Category: def __init__(self, name, quantity = 1): self.name = name @@ -65,12 +65,11 @@ def mean_score(self, num_dice, num_rolls): return mean_score * self.quantity - def extract_progression(state, player, options): #method to obtain a list of what items the player has. - #this includes categories, dice, rolls and score multiplier. + #this includes categories, dice, rolls and score multiplier etc. - if player == "state_is_a_list": + if player == "state_is_a_list": #the state variable is just a list with the names of the items number_of_dice = ( state.count("Dice") + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value @@ -90,7 +89,7 @@ def extract_progression(state, player, options): extra_points_in_logic = state.count("1 Point") extra_points_in_logic += state.count("10 Points") * 10 extra_points_in_logic += state.count("100 Points") * 100 - else: + else: #state is an Archipelago object, so we need state.count(..., player) number_of_dice = ( state.count("Dice", player) + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value @@ -126,10 +125,11 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu if tup in yachtdice_cache.keys(): return yachtdice_cache[tup] - #sort categories because for the step multiplier, you will want low-scorig categories first + #sort categories because for the step multiplier, you will want low-scoring categories first categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) #function to add two discrete distribution. + #defaultdict is a dict where you don't need to check if a id is present, you can just use += (lot faster) def add_distributions(dist1, dist2): combined_dist = defaultdict(float) for val1, prob1 in dist1.items(): @@ -138,7 +138,7 @@ def add_distributions(dist1, dist2): return dict(combined_dist) #function to take the maximum of "times" i.i.d. dist1. - #I have tried using defaultdict but this made it slower. + #(I have tried using defaultdict here too but this made it slower.) def max_dist(dist1, mults): new_dist = {0: 1} for mult in mults: @@ -172,7 +172,9 @@ def percentile_distribution(dist, percentile): # Return the first value if percentile is lower than all probabilities return prev_val if prev_val is not None else sorted_values[0] - + #parameters for logic. + #perc_return is, per difficulty, the percentages of total score it returns (it averages out the values) + #diff_divide determines how many shots the logic gets per category. Lower = more shots. perc_return = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] diff_divide = [0, 9, 7, 3, 2][diff] @@ -188,10 +190,10 @@ def percentile_distribution(dist, percentile): dist[key] /= 100000 cat_mult = 2 ** (categories[j].quantity-1) - max_tries = j // diff_divide - mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0,j - max_tries), j+1)] - + #for higher difficulties, the simulation gets multiple tries for categories. + max_tries = j // diff_divide + mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0,j - max_tries), j+1)] dist = max_dist(dist, mults) total_dist = add_distributions(total_dist, dist) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index f0dc86fc900e..d0e5379141e5 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -40,7 +40,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.0.3" + ap_world_version = "2.0.4" def _get_yachtdice_data(self): return { @@ -51,7 +51,8 @@ def _get_yachtdice_data(self): "race": self.multiworld.is_race, } - def generate_early(self): + #In generate early, we fill the item-pool, then determine the number of locations, and add filler items. + def generate_early(self): self.itempool = [] self.precollected = [] @@ -72,8 +73,6 @@ def generate_early(self): if plando_setting.get("from_pool", False) is False: self.extra_plando_items += sum(value for value in plando_setting["items"].values()) - - # Create a list with the specified number of 1s num_ones = self.options.alternative_categories.value categorylist = [1] * num_ones + [0] * (16 - num_ones) @@ -81,8 +80,9 @@ def generate_early(self): # Shuffle the list to randomize the order self.multiworld.random.shuffle(categorylist) - #A list of all possible categories. + #Every entry in the list has two categories, one 'default' category and one 'alt'. + #You get either of the two for every entry, so a total of 16 unique categories. all_categories = [ ["Category Choice", "Category Double Threes and Fours"], ["Category Inverse Choice", "Category Quadruple Ones and Twos"], @@ -135,16 +135,20 @@ def generate_early(self): already_items = len(self.itempool) + self.extra_plando_items #Yacht Dice needs extra filler items so it doesn't get stuck in generation. + #For now, we calculate the number of extra items we'll need later. if self.options.minimize_extra_items.value: extraPercentage = max(0.1, 0.8 - self.multiworld.players / 10) else: extraPercentage = 0.7 - extra_locations_needed = max(10, math.ceil(already_items * extraPercentage)) + #max score is the value of the last check. Goal score is the score needed to 'finish' the game self.max_score = self.options.score_for_last_check.value self.goal_score = min(self.max_score, self.options.score_for_goal.value) + #Yacht Dice adds items into the pool until a score of at least 1000 is reached. + #the yaml contains weights, which determine how likely it is that specific items get added. + #If all weights are 0, some of them will be made to be non-zero later. weights = [ self.options.weight_of_dice.value, self.options.weight_of_roll.value, @@ -167,19 +171,22 @@ def generate_early(self): extra_points_added = 0 multipliers_added = 0 + #Keep adding items until a score of 1000 is in logic while dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: all_items = self.itempool + self.precollected dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: - weights[0] = 0 #cannot have 9 dice + weights[0] = 0 #don't allow >=9 dice roll_fragments_in_pool = all_items.count("Roll") * frags_per_roll + all_items.count("Roll Fragment") if roll_fragments_in_pool + 1 >= 6 * frags_per_roll: - weights[1] = 0 # cannot have 6 rolls + weights[1] = 0 # don't allow >= 6 rolls + #Don't allow too many multipliers if multipliers_added > 50: weights[2] = 0 weights[3] = 0 + #Don't allow too many extra points if extra_points_added > 300: weights[5] = 0 @@ -191,8 +198,8 @@ def generate_early(self): if extra_points_added <= 300: weights[5] = 1 + #Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item which_item_to_add = self.multiworld.random.choices([0,1,2,3,4,5], weights = weights)[0] - if which_item_to_add == 0: if frags_per_dice == 1: self.itempool += ["Dice"] @@ -214,7 +221,6 @@ def generate_early(self): weights[3] /= 1.1 multipliers_added += 1 elif which_item_to_add == 4: - #increase chances of "free-score categories" cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] self.itempool += self.multiworld.random.choices(possible_categories, weights = cat_weights) weights[4] /= 1.1 @@ -247,15 +253,14 @@ def generate_early(self): else: raise Exception("Invalid index when adding new items in Yacht Dice") - #count the number of locations in the game. extra_plando_items is set in generate_early - #and counts number of plando items *not* from pool. - + #count the number of locations in the game. already_items = len(self.itempool) + self.extra_plando_items + 1 #+1 because of Victory item - extra_locations_needed += (already_items - 70) // 20 + #We need to add more filler/useful items if there are many items in the pool to guarantee succesful generation + extra_locations_needed += (already_items - 45) // 15 self.number_of_locations = already_items + extra_locations_needed - # From here, we will count the number of items in the self.itempool, and add items to the pool, + # From here, we will count the number of items in the self.itempool, and add usuful/filler items to the pool, # making sure not to exceed the number of locations. #first, we flood the entire pool with extra points (useful), if that setting is chosen. @@ -281,7 +286,7 @@ def generate_early(self): if(self.number_of_locations - already_items >= 10): self.itempool += ["Story Chapter"] * 10 - #add some extra points if there is still room + #add some more extra points if there is still room if self.options.add_bonus_points.value == 2: already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) @@ -299,7 +304,6 @@ def generate_early(self): #probability of Good and Bad rng, based on difficulty for fun :) p = 1.1 - 0.25 * self.options.game_difficulty.value - already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += self.multiworld.random.choices( ["Good RNG", "Bad RNG"], @@ -313,15 +317,16 @@ def generate_early(self): raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " f"{already_items} {self.number_of_locations}.") + #add precollected items using push_precollected. Items in self.itempool get created in create_items for item in self.precollected: self.multiworld.push_precollected(self.create_item(item)) def create_items(self): #convert strings to actual items - itempoolO = [item for item in map(lambda name: self.create_item(name), self.itempool)] + itempool_created = [item for item in map(lambda name: self.create_item(name), self.itempool)] #and add them to the itempool - for item in itempoolO: + for item in itempool_created: self.multiworld.itempool += [item] def create_regions(self): @@ -358,11 +363,6 @@ def set_rules(self): set_yacht_rules(self.multiworld, self.player, self.options) set_yacht_completion_rules(self.multiworld, self.player) - maxScoreWithItems = dice_simulation(self.multiworld.get_all_state(False), self.player, self.options) - - if self.goal_score > maxScoreWithItems: - raise Exception("In Yacht Dice, with all items in the pool, it is impossible to get to the goal.") - def pre_fill(self): #in the pre_fill, make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon self.multiworld.early_items[self.player]["Dice"] = 1 @@ -370,9 +370,7 @@ def pre_fill(self): def fill_slot_data(self): #make slot data, which consists of yachtdice_data, options, and some other variables. - yacht_dice_data = self._get_yachtdice_data() - yacht_dice_options = self.options.as_dict( "game_difficulty", "score_for_last_check", @@ -394,9 +392,7 @@ def fill_slot_data(self): "which_story", "allow_manual_input" ) - - slot_data = {**yacht_dice_data, **yacht_dice_options} #combine the two - + slot_data = {**yacht_dice_data, **yacht_dice_options} #combine the two slot_data["goal_score"] = self.goal_score slot_data["last_check_score"] = self.max_score slot_data["ap_world_version"] = self.ap_world_version From 97c37a395f51c7f1e374f24c5a3cec8ab5b965c4 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 00:12:30 +0200 Subject: [PATCH 037/127] Renamed setup guide --- worlds/yachtdice/docs/{en_YachtDice.md => en_Yacht Dice.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename worlds/yachtdice/docs/{en_YachtDice.md => en_Yacht Dice.md} (100%) diff --git a/worlds/yachtdice/docs/en_YachtDice.md b/worlds/yachtdice/docs/en_Yacht Dice.md similarity index 100% rename from worlds/yachtdice/docs/en_YachtDice.md rename to worlds/yachtdice/docs/en_Yacht Dice.md From 93e67153f852e6401c4a2f82f81aa68e35fdd660 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 18:44:59 +0200 Subject: [PATCH 038/127] Improved create_items code --- worlds/yachtdice/__init__.py | 7 +------ 1 file changed, 1 insertion(+), 6 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index d0e5379141e5..83cf411362d5 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -322,12 +322,7 @@ def generate_early(self): self.multiworld.push_precollected(self.create_item(item)) def create_items(self): - #convert strings to actual items - itempool_created = [item for item in map(lambda name: self.create_item(name), self.itempool)] - - #and add them to the itempool - for item in itempool_created: - self.multiworld.itempool += [item] + self.multiworld.itempool += [self.create_item(name) for name in self.itempool] def create_regions(self): #call the ini_locations function, that generates locations based on the inputs. From 864e36cebed9db9e26d28fca45057e3b79fce569 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 18:50:42 +0200 Subject: [PATCH 039/127] init of locations: remove self.event line --- worlds/yachtdice/Locations.py | 1 - 1 file changed, 1 deletion(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 1b0adccaac35..65612c623631 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -12,7 +12,6 @@ class YachtDiceLocation(Location): def __init__(self, player: int, name: str, score: int, address: typing.Optional[int], parent): super().__init__(player, name, address, parent) self.yacht_dice_score = score - self.event = not address all_locations = {} starting_index = 16871244500 #500 more than the starting index for items From 1aff595855aee729bc25beb71ece055be39dfa4d Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 18:54:56 +0200 Subject: [PATCH 040/127] Moved setting early items to generate_early --- worlds/yachtdice/__init__.py | 9 ++++----- 1 file changed, 4 insertions(+), 5 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 83cf411362d5..162b8e0832ea 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -320,6 +320,10 @@ def generate_early(self): #add precollected items using push_precollected. Items in self.itempool get created in create_items for item in self.precollected: self.multiworld.push_precollected(self.create_item(item)) + + #make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon + self.multiworld.early_items[self.player]["Dice"] = 1 + self.multiworld.early_items[self.player]["Roll"] = 1 def create_items(self): self.multiworld.itempool += [self.create_item(name) for name in self.itempool] @@ -358,11 +362,6 @@ def set_rules(self): set_yacht_rules(self.multiworld, self.player, self.options) set_yacht_completion_rules(self.multiworld, self.player) - def pre_fill(self): - #in the pre_fill, make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon - self.multiworld.early_items[self.player]["Dice"] = 1 - self.multiworld.early_items[self.player]["Roll"] = 1 - def fill_slot_data(self): #make slot data, which consists of yachtdice_data, options, and some other variables. yacht_dice_data = self._get_yachtdice_data() From 29b8ced72cf376e25e4c582f22a0f4db3e395384 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 18:59:06 +0200 Subject: [PATCH 041/127] Add my name to CODEOWNERS --- docs/CODEOWNERS | 3 +++ 1 file changed, 3 insertions(+) diff --git a/docs/CODEOWNERS b/docs/CODEOWNERS index 10b962d49970..f93f6b9847f2 100644 --- a/docs/CODEOWNERS +++ b/docs/CODEOWNERS @@ -196,6 +196,9 @@ # The Witness /worlds/witness/ @NewSoupVi @blastron +# Yacht Dice +/worlds/yachtdice/ @spinerak + # Yoshi's Island /worlds/yoshisisland/ @PinkSwitch From 41cd899abf2784c4a7e3f1c15f5cec86bc095cb0 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 19:03:15 +0200 Subject: [PATCH 042/127] Added Yacht Dice to the readme in list of games --- README.md | 1 + 1 file changed, 1 insertion(+) diff --git a/README.md b/README.md index cebd4f7e7529..b2d0de33c77d 100644 --- a/README.md +++ b/README.md @@ -72,6 +72,7 @@ Currently, the following games are supported: * Aquaria * Yu-Gi-Oh! Ultimate Masters: World Championship Tournament 2006 * A Hat in Time +* Yacht Dice For setup and instructions check out our [tutorials page](https://archipelago.gg/tutorial/). Downloads can be found at [Releases](https://github.com/ArchipelagoMW/Archipelago/releases), including compiled From 3e8d89f2e0cedae2a68be018f20ad51ecbf6275d Mon Sep 17 00:00:00 2001 From: NewSoupVi <57900059+NewSoupVi@users.noreply.github.com> Date: Fri, 7 Jun 2024 21:49:24 +0200 Subject: [PATCH 043/127] Improve performance of Yacht Dice --- worlds/yachtdice/Rules.py | 26 +++++++++++++++++++------- worlds/yachtdice/__init__.py | 16 +++++++++++++++- 2 files changed, 34 insertions(+), 8 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index a81e17bb5688..e5e8e768b663 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -205,17 +205,29 @@ def percentile_distribution(dist, percentile): # Returns the feasible score that one can reach with the current state, options and difficulty. def dice_simulation(state, player, options): - categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) - return dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, - options.game_difficulty.value) + expoints + if player == "state_is_a_list": + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) + return dice_simulation_strings( + categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value + ) + expoints + if state.prog_items[player]["state_is_fresh"] == 0: + state.prog_items[player]["state_is_fresh"] = 1 + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) + state.prog_items[player]["maximum_achievable_score"] = dice_simulation_strings( + categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value + ) + expoints + + return state.prog_items[player]["maximum_achievable_score"] + + # Sets rules on entrances and advancements that are always applied def set_yacht_rules(world: MultiWorld, player: int, options): for l in world.get_locations(player): - set_rule(l, - lambda state, - curscore=l.yacht_dice_score, - player=player: + set_rule(l, + lambda state, + curscore=l.yacht_dice_score, + player=player: dice_simulation(state, player, options) >= curscore) # Sets rules on completion condition diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 162b8e0832ea..e5fedd57ba73 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -395,4 +395,18 @@ def fill_slot_data(self): def create_item(self, name: str) -> Item: item_data = item_table[name] item = YachtDiceItem(name, item_data.classification, item_data.code, self.player) - return item \ No newline at end of file + return item + + def collect(self, state, item: Item) -> bool: + change = super().collect(state, item) + if change and item.advancement: + state.prog_items[self.player]["state_is_fresh"] = 0 + + return change + + def remove(self, state, item: Item) -> bool: + change = super().remove(state, item) + if change and item.advancement: + state.prog_items[self.player]["state_is_fresh"] = 0 + + return change \ No newline at end of file From 3d7f23b26df33fbb086e3e00e608a27b884629cb Mon Sep 17 00:00:00 2001 From: NewSoupVi <57900059+NewSoupVi@users.noreply.github.com> Date: Fri, 7 Jun 2024 22:02:45 +0200 Subject: [PATCH 044/127] newline --- worlds/yachtdice/__init__.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index e5fedd57ba73..43e8244a69bd 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -409,4 +409,4 @@ def remove(self, state, item: Item) -> bool: if change and item.advancement: state.prog_items[self.player]["state_is_fresh"] = 0 - return change \ No newline at end of file + return change From a3c9fb7b55eb915f5e98dfe9f8e847f58fab2c20 Mon Sep 17 00:00:00 2001 From: NewSoupVi <57900059+NewSoupVi@users.noreply.github.com> Date: Fri, 7 Jun 2024 22:10:36 +0200 Subject: [PATCH 045/127] Improve typing --- worlds/yachtdice/__init__.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 43e8244a69bd..cf541c9f59e6 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,7 +1,7 @@ import math import logging -from BaseClasses import Region, Entrance, Item, Tutorial +from BaseClasses import Region, Entrance, Item, Tutorial, CollectionState from .Items import YachtDiceItem, item_table, item_groups from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions @@ -397,14 +397,14 @@ def create_item(self, name: str) -> Item: item = YachtDiceItem(name, item_data.classification, item_data.code, self.player) return item - def collect(self, state, item: Item) -> bool: + def collect(self, state: CollectionState, item: Item) -> bool: change = super().collect(state, item) if change and item.advancement: state.prog_items[self.player]["state_is_fresh"] = 0 return change - def remove(self, state, item: Item) -> bool: + def remove(self, state: CollectionState, item: Item) -> bool: change = super().remove(state, item) if change and item.advancement: state.prog_items[self.player]["state_is_fresh"] = 0 From 676e876392330ed2079694bb23143b99d75d059f Mon Sep 17 00:00:00 2001 From: NewSoupVi <57900059+NewSoupVi@users.noreply.github.com> Date: Fri, 7 Jun 2024 22:18:36 +0200 Subject: [PATCH 046/127] This is actually just slower lol --- worlds/yachtdice/__init__.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index cf541c9f59e6..9bcabd9dcf3b 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -399,14 +399,14 @@ def create_item(self, name: str) -> Item: def collect(self, state: CollectionState, item: Item) -> bool: change = super().collect(state, item) - if change and item.advancement: + if change: state.prog_items[self.player]["state_is_fresh"] = 0 return change def remove(self, state: CollectionState, item: Item) -> bool: change = super().remove(state, item) - if change and item.advancement: + if change: state.prog_items[self.player]["state_is_fresh"] = 0 return change From 78c198b4ea2a2a546b110f73aa4dfd25e6f3d0f8 Mon Sep 17 00:00:00 2001 From: Spineraks Date: Fri, 7 Jun 2024 22:35:32 +0200 Subject: [PATCH 047/127] Update worlds/yachtdice/Items.py Co-authored-by: Exempt-Medic <60412657+Exempt-Medic@users.noreply.github.com> --- worlds/yachtdice/Items.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 011aaed7fd7e..50ea7e1cffec 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -111,4 +111,4 @@ class YachtDiceItem(Item): "Category Five Distinct Dice", "Category 4&5 Full House" } -} \ No newline at end of file +} From f6fbf2221f31388d297790f729002bba5c826e3e Mon Sep 17 00:00:00 2001 From: Spineraks Date: Fri, 7 Jun 2024 22:43:19 +0200 Subject: [PATCH 048/127] Apply suggestions from code review Co-authored-by: Exempt-Medic <60412657+Exempt-Medic@users.noreply.github.com> --- worlds/yachtdice/Locations.py | 4 ++-- worlds/yachtdice/Options.py | 25 +++++++++++++------------ worlds/yachtdice/Rules.py | 7 ++++--- worlds/yachtdice/__init__.py | 26 +++++++++++++------------- worlds/yachtdice/docs/en_Yacht Dice.md | 4 ++-- worlds/yachtdice/docs/setup_en.md | 6 +++--- 6 files changed, 37 insertions(+), 35 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 65612c623631..624a450294f2 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -42,8 +42,8 @@ def ini_locations(goal_score, max_score, num_locs, dif): hiscore = 0 for i in range(num_locs - 1): perc = (i/num_locs) - curscore = int( 1 + (perc ** scaling) * (max_score-2) ) - if(curscore <= hiscore): + curscore = int(1 + (perc ** scaling) * (max_score-2)) + if curscore <= hiscore: curscore = hiscore + 1 hiscore = curscore scores += [curscore] diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index d1ef8cd7383e..abd9cff2cd6b 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -1,9 +1,9 @@ from Options import Choice, Range, PerGameCommonOptions from dataclasses import dataclass -class gameDifficulty(Choice): +class GameDifficulty(Choice): """ - Difficulty. This setting determines how difficult the scores are to achieve. + Difficulty. This option determines how difficult the scores are to achieve. Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. Medium: intended difficulty. If you play smart, you will finish the game without any trouble. Hard: you will need to play smart and be lucky. @@ -29,7 +29,7 @@ class scoreForLastCheck(Range): class scoreForGoal(Range): """ - This setting determines what score you need to reach to finish the game. + This option determines what score you need to reach to finish the game. It cannot be higher than the score for the last check (if it is, it is changed automatically). """ display_name = "Score for goal" @@ -56,7 +56,7 @@ class numberDiceFragmentsPerDice(Range): """ Dice can be split into fragments, gathering enough will give you an extra dice. You start with one dice, and there will always be one full dice in the pool. - The other dice are split into fragments, according to this setting. + The other dice are split into fragments, according to this option. Setting this to 1 fragment per dice just puts "Dice" objects in the pool. """ display_name = "Number of dice fragments per dice" @@ -68,7 +68,7 @@ class numberRollFragmentsPerRoll(Range): """ Rolls can be split into fragments, gathering enough will give you an extra roll. You start with one roll, and there will always be one full roll in the pool. - The other three rolls are split into fragments, according to this setting. + The other three rolls are split into fragments, according to this option. Setting this to 1 fragment per roll just puts "Roll" objects in the pool. """ display_name = "Number of roll fragments per roll" @@ -97,7 +97,7 @@ class alternativeCategories(Range): class chanceOfDice(Range): """ The item pool is always filled in such a way that you can reach a score of 1000. - Extra progressive items are added that will help you on your quest. + Extra progression items are added that will help you on your quest. You can set the weight for each extra progressive item in the following options. Of course, more dice = more points! @@ -128,7 +128,7 @@ class chanceOfFixedScoreMultiplier(Range): class chanceOfStepScoreMultiplier(Range): """ The Step Score Multiplier boosts your multiplier after every roll by 1%, and resets on sheet reset. - So, keep high scoring categories for later to get the most of them. + So, keep high scoring categories for later to get the most out of them. By default, this item is not included. It is fun however, you just need to know the above strategy. """ display_name = "Weight of adding Step Score Multiplier" @@ -158,7 +158,7 @@ class chanceOfPoints(Range): class pointsSize(Choice): """ If you choose to add points to the item pool, do you prefer many small points, - medium size, a few larger points, or a mix of them? + medium-size points, a few larger points, or a mix of them? """ display_name = "Size of points" option_small = 1 @@ -203,7 +203,7 @@ class addStoryChapters(Choice): all_of_it: fill all locations with story chapters sure: if there is space left, put in 10 story chapters. - never: do not put any story chapters, I do not like reading (but I am glad you are reading THIS!) + never: do not put any story chapters in, I do not like reading (but I am glad you are reading THIS!) """ display_name = "Extra story chapters in the pool" option_all_of_it = 1 @@ -232,8 +232,8 @@ class whichStory(Choice): class allowManual(Choice): """ Yacht Dice allows players to roll IRL dice. - By sending "manual" in the chat, a input field appears where you can type your dice rolls. - Of course we cannot check anymore if the player is playing fair. + By sending "manual" in the chat, an input field appears where you can type your dice rolls. + Of course, we cannot check anymore if the player is playing fair. Do you want to allow manual input of rolls? """ display_name = "Allow manual inputs" @@ -267,4 +267,5 @@ class YachtDiceOptions(PerGameCommonOptions): add_story_chapters: addStoryChapters which_story: whichStory - allow_manual_input: allowManual \ No newline at end of file + allow_manual_input: allowManual + \ No newline at end of file diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index e5e8e768b663..5b50c7b2ac73 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -1,4 +1,4 @@ -from ..generic.Rules import set_rule +from worlds.generic.Rules import set_rule from BaseClasses import MultiWorld from .YachtWeights import yacht_weights import math @@ -129,7 +129,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) #function to add two discrete distribution. - #defaultdict is a dict where you don't need to check if a id is present, you can just use += (lot faster) + #defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) def add_distributions(dist1, dist2): combined_dist = defaultdict(float) for val1, prob1 in dist1.items(): @@ -232,4 +232,5 @@ def set_yacht_rules(world: MultiWorld, player: int, options): # Sets rules on completion condition def set_yacht_completion_rules(world: MultiWorld, player: int): - world.completion_condition[player] = lambda state: state.has("Victory", player) \ No newline at end of file + world.completion_condition[player] = lambda state: state.has("Victory", player) + \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 9bcabd9dcf3b..dfae9033a4f9 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,12 +1,11 @@ import math -import logging from BaseClasses import Region, Entrance, Item, Tutorial, CollectionState from .Items import YachtDiceItem, item_table, item_groups from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions from .Rules import set_yacht_rules, set_yacht_completion_rules, dice_simulation -from ..AutoWorld import World, WebWorld +from world.AutoWorld import World, WebWorld class YachtDiceWeb(WebWorld): @@ -20,6 +19,7 @@ class YachtDiceWeb(WebWorld): ["Spineraks"] )] + class YachtDiceWorld(World): """ Yacht Dice is a straightforward game, custom-made for Archipelago, @@ -51,7 +51,7 @@ def _get_yachtdice_data(self): "race": self.multiworld.is_race, } - #In generate early, we fill the item-pool, then determine the number of locations, and add filler items. + # In generate early, we fill the item-pool, then determine the number of locations, and add filler items. def generate_early(self): self.itempool = [] self.precollected = [] @@ -120,7 +120,7 @@ def generate_early(self): #if one fragment per dice, just add "Dice" objects if frags_per_dice == 1: - self.itempool += ["Dice"] * (num_of_dice-1) #minus one because one is in start inventory + self.itempool += ["Dice"] * (num_of_dice-1) # minus one because one is in start inventory else: self.itempool += ["Dice"] #always add a full dice to make generation easier (will be early) self.itempool += ["Dice Fragment"] * (frags_per_dice * (num_of_dice-2)) @@ -199,7 +199,7 @@ def generate_early(self): weights[5] = 1 #Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item - which_item_to_add = self.multiworld.random.choices([0,1,2,3,4,5], weights = weights)[0] + which_item_to_add = self.multiworld.random.choices([0, 1, 2, 3, 4, 5], weights = weights)[0] if which_item_to_add == 0: if frags_per_dice == 1: self.itempool += ["Dice"] @@ -240,11 +240,11 @@ def generate_early(self): self.itempool += ["1 Point"] extra_points_added += 1 weights[5] /= 1.01 - elif c==1: + elif c == 1: self.itempool += ["10 Points"] extra_points_added += 10 weights[5] /= 1.1 - elif c==2: + elif c == 2: self.itempool += ["100 Points"] extra_points_added += 100 weights[5] /= 2 @@ -256,11 +256,11 @@ def generate_early(self): #count the number of locations in the game. already_items = len(self.itempool) + self.extra_plando_items + 1 #+1 because of Victory item - #We need to add more filler/useful items if there are many items in the pool to guarantee succesful generation + #We need to add more filler/useful items if there are many items in the pool to guarantee successful generation extra_locations_needed += (already_items - 45) // 15 self.number_of_locations = already_items + extra_locations_needed - # From here, we will count the number of items in the self.itempool, and add usuful/filler items to the pool, + # From here, we will count the number of items in the self.itempool, and add useful/filler items to the pool, # making sure not to exceed the number of locations. #first, we flood the entire pool with extra points (useful), if that setting is chosen. @@ -283,7 +283,7 @@ def generate_early(self): #add some story chapters (filler) if self.options.add_story_chapters.value == 2: #add extra points if wanted already_items = len(self.itempool) + self.extra_plando_items + 1 - if(self.number_of_locations - already_items >= 10): + if self.number_of_locations - already_items >= 10: self.itempool += ["Story Chapter"] * 10 #add some more extra points if there is still room @@ -315,7 +315,7 @@ def generate_early(self): already_items = len(self.itempool) + self.extra_plando_items + 1 if already_items != self.number_of_locations: raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " - f"{already_items} {self.number_of_locations}.") + f"{already_items} {self.number_of_locations}.") #add precollected items using push_precollected. Items in self.itempool get created in create_items for item in self.precollected: @@ -331,7 +331,7 @@ def create_items(self): def create_regions(self): #call the ini_locations function, that generates locations based on the inputs. location_table, goal_index = ini_locations(self.goal_score, self.max_score, self.number_of_locations, - self.options.game_difficulty.value) + self.options.game_difficulty.value) #simple menu-board construction menu = Region("Menu", self.player, self.multiworld) @@ -339,7 +339,7 @@ def create_regions(self): #add locations to board, one for every location in the location_table board.locations = [YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) - for loc_name, loc_data in location_table.items() if loc_data.region == board.name] + for loc_name, loc_data in location_table.items() if loc_data.region == board.name] #which index of all locations should have the Victory item. diff --git a/worlds/yachtdice/docs/en_Yacht Dice.md b/worlds/yachtdice/docs/en_Yacht Dice.md index f45c5bcb9042..53eefe9e9c4b 100644 --- a/worlds/yachtdice/docs/en_Yacht Dice.md +++ b/worlds/yachtdice/docs/en_Yacht Dice.md @@ -11,5 +11,5 @@ When you receive an item, it could be extra dice, extra rolls, score multipliers ## Winning the Game Victory in Yacht Dice is all about reaching the target score. You can set your own target score, which is displayed on the website. Once you hit it, you've conquered the game! -## How to Access Settings -Need to tweak your game? Head over to the [player settings page](../player-settings) for all your configuration options and to export your config file. +## How to Access Options +Need to tweak your game? Head over to the [player options page](../player-options) for all your configuration options and to export your config file. diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md index 671e5ea830de..ae5f92d93ea0 100644 --- a/worlds/yachtdice/docs/setup_en.md +++ b/worlds/yachtdice/docs/setup_en.md @@ -14,8 +14,8 @@ Both options have an "offline" play option to try out the game without having to ## Play with Archipelago -- Create your yaml file via the [Yacht Dice Player Settings Page](/games/YachtDice/player-settings). -- After generating, open the Yacht Dice website. After the tutoroll, fill in the room-information. +- Create your yaml file via the [Yacht Dice Player Options Page](../player-options). +- After generating, open the Yacht Dice website. After the tutoroll, fill in the room information. - After logging in, you are good to go. The website has a built-in client, where you can chat and send commands. -For more information on yaml files, generating Archipelago games and connecting to servers, please see the [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en). +For more information on yaml files, generating Archipelago games, and connecting to servers, please see the [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en). From c647c899aa28bfcfe3f4dced4c0d9428a8c5c8f9 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 22:50:27 +0200 Subject: [PATCH 049/127] Update Options.py --- worlds/yachtdice/Options.py | 3 --- 1 file changed, 3 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index d1ef8cd7383e..e9ec2c0f24b9 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -76,9 +76,6 @@ class numberRollFragmentsPerRoll(Range): range_end = 5 default = 4 -""" -Test 1 2 3 -""" class alternativeCategories(Range): """ From 064c92977a0899ec2906830f515aabae33e290b7 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 23:16:16 +0200 Subject: [PATCH 050/127] Styling --- worlds/yachtdice/Items.py | 13 ++-- worlds/yachtdice/Locations.py | 24 +++--- worlds/yachtdice/Options.py | 125 ++++++++++++++++++------------- worlds/yachtdice/Rules.py | 58 +++++++------- worlds/yachtdice/YachtWeights.py | 7 +- worlds/yachtdice/__init__.py | 125 ++++++++++++++++--------------- 6 files changed, 185 insertions(+), 167 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 50ea7e1cffec..8b6c0fcd6e19 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -8,10 +8,10 @@ class ItemData(typing.NamedTuple): class YachtDiceItem(Item): game: str = "Yacht Dice" -#the starting index is chosen semi-randomly to be 16871244000 +# the starting index is chosen semi-randomly to be 16871244000 item_table = { - #victory item, always placed manually at goal location + # victory item, always placed manually at goal location "Victory": ItemData(16871244000-1, ItemClassification.progression), "Dice": ItemData(16871244000, ItemClassification.progression), @@ -19,7 +19,6 @@ class YachtDiceItem(Item): "Roll": ItemData(16871244002, ItemClassification.progression), "Roll Fragment": ItemData(16871244003, ItemClassification.progression), - #"Score Multiplier": ItemData(16871244004, ItemClassification.progression), #not used anymore "Fixed Score Multiplier": ItemData(16871244005, ItemClassification.progression), "Step Score Multiplier": ItemData(16871244006, ItemClassification.progression), @@ -57,21 +56,21 @@ class YachtDiceItem(Item): "Category Five Distinct Dice": ItemData(16871244137, ItemClassification.progression), "Category 4&5 Full House": ItemData(16871244138, ItemClassification.progression), - #filler items + # filler items "Encouragement": ItemData(16871244200, ItemClassification.filler), "Fun Fact": ItemData(16871244201, ItemClassification.filler), "Story Chapter": ItemData(16871244202, ItemClassification.filler), "Good RNG": ItemData(16871244203, ItemClassification.filler), "Bad RNG": ItemData(16871244204, ItemClassification.trap), - "Bonus Point": ItemData(16871244205, ItemClassification.useful), #not included in logic + "Bonus Point": ItemData(16871244205, ItemClassification.useful), # not included in logic - #These points are included in the logic and might be necessary to progress. + # These points are included in the logic and might be necessary to progress. "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), "10 Points": ItemData(16871244302, ItemClassification.progression), "100 Points": ItemData(16871244303, ItemClassification.progression) } -#item groups for better hinting +# item groups for better hinting item_groups = { "Score Multiplier": { "Step Score Multiplier", diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 624a450294f2..bd685360dd92 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -14,31 +14,31 @@ def __init__(self, player: int, name: str, score: int, address: typing.Optional[ self.yacht_dice_score = score all_locations = {} -starting_index = 16871244500 #500 more than the starting index for items +starting_index = 16871244500 # 500 more than the starting index for items -#Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 +# Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 def all_locations_fun(max_score): location_table = {} for i in range(max_score+1): location_table[f"{i} score"] = LocData(starting_index+i, "Board", i) return location_table -#function that loads in all locations necessary for the game, so based on options. -#will make sure that goal_score and max_score are included locations +# function that loads in all locations necessary for the game, so based on options. +# will make sure that goal_score and max_score are included locations def ini_locations(goal_score, max_score, num_locs, dif): - scaling = 2 #parameter that determines how many low-score location there are. - #need more low-score locations or lower difficulties: + scaling = 2 # parameter that determines how many low-score location there are. + # need more low-score locations or lower difficulties: if dif == 1: scaling = 3 elif dif == 2: scaling = 2.3 scores = [] - #the scores follow the function int( 1 + (perc ** scaling) * (max_score-1) ) - #however, this will have many low values, sometimes repeating. - #to avoid repeating scores, hiscore keeps tracks of the highest score location - #and the next score will always be at least hiscore + 1 - #note that curscore is at most max_score-1 + # the scores follow the function int( 1 + (perc ** scaling) * (max_score-1) ) + # however, this will have many low values, sometimes repeating. + # to avoid repeating scores, hiscore keeps tracks of the highest score location + # and the next score will always be at least hiscore + 1 + # note that curscore is at most max_score-1 hiscore = 0 for i in range(num_locs - 1): perc = (i/num_locs) @@ -49,7 +49,7 @@ def ini_locations(goal_score, max_score, num_locs, dif): scores += [curscore] if goal_score != max_score: - #if the goal score is not in the list, find the closest one and make it the goal. + # if the goal score is not in the list, find the closest one and make it the goal. if goal_score not in scores: closest_num = min(scores, key=lambda x: abs(x - 500)) scores[scores.index(closest_num)] = goal_score diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index ed99601d719e..b2869023100a 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -15,8 +15,9 @@ class GameDifficulty(Choice): option_hard = 3 option_extreme = 4 default = 2 + -class scoreForLastCheck(Range): +class ScoreForLastCheck(Range): """ The items in the item pool will always allow you to reach a score of 1000. By default, the last check is also at a score of 1000. @@ -26,8 +27,9 @@ class scoreForLastCheck(Range): range_start = 500 range_end = 1000 default = 1000 - -class scoreForGoal(Range): + + +class ScoreForGoal(Range): """ This option determines what score you need to reach to finish the game. It cannot be higher than the score for the last check (if it is, it is changed automatically). @@ -37,7 +39,8 @@ class scoreForGoal(Range): range_end = 1000 default = 777 -class minimalNumberOfDiceAndRolls(Choice): + +class MinimalNumberOfDiceAndRolls(Choice): """ The minimal number of dice and rolls in the pool. These are guaranteed, unlike the later items. @@ -52,7 +55,8 @@ class minimalNumberOfDiceAndRolls(Choice): option_8_dice_and_2_rolls = 6 default = 2 -class numberDiceFragmentsPerDice(Range): + +class NumberDiceFragmentsPerDice(Range): """ Dice can be split into fragments, gathering enough will give you an extra dice. You start with one dice, and there will always be one full dice in the pool. @@ -63,8 +67,9 @@ class numberDiceFragmentsPerDice(Range): range_start = 1 range_end = 5 default = 4 - -class numberRollFragmentsPerRoll(Range): + + +class NumberRollFragmentsPerRoll(Range): """ Rolls can be split into fragments, gathering enough will give you an extra roll. You start with one roll, and there will always be one full roll in the pool. @@ -75,9 +80,9 @@ class numberRollFragmentsPerRoll(Range): range_start = 1 range_end = 5 default = 4 - - -class alternativeCategories(Range): + + +class AlternativeCategories(Range): """ There are 16 default categories, but there are also 16 alternative categories. These alternative categories can be randomly selected to replace the default categories. @@ -89,9 +94,9 @@ class alternativeCategories(Range): range_start = 0 range_end = 16 default = 0 - - -class chanceOfDice(Range): + + +class ChanceOfDice(Range): """ The item pool is always filled in such a way that you can reach a score of 1000. Extra progression items are added that will help you on your quest. @@ -103,8 +108,9 @@ class chanceOfDice(Range): range_start = 0 range_end = 100 default = 5 - -class chanceOfRoll(Range): + + +class ChanceOfRoll(Range): """ With more rolls, you will be able to reach higher scores. """ @@ -113,7 +119,8 @@ class chanceOfRoll(Range): range_end = 100 default = 20 -class chanceOfFixedScoreMultiplier(Range): + +class ChanceOfFixedScoreMultiplier(Range): """ Getting a Fixed Score Multiplier will boost all future scores by 10%. """ @@ -121,8 +128,9 @@ class chanceOfFixedScoreMultiplier(Range): range_start = 0 range_end = 100 default = 30 - -class chanceOfStepScoreMultiplier(Range): + + +class ChanceOfStepScoreMultiplier(Range): """ The Step Score Multiplier boosts your multiplier after every roll by 1%, and resets on sheet reset. So, keep high scoring categories for later to get the most out of them. @@ -132,8 +140,9 @@ class chanceOfStepScoreMultiplier(Range): range_start = 0 range_end = 100 default = 0 - -class chanceOfDoubleCategory(Range): + + +class ChanceOfDoubleCategory(Range): """ This option allows categories to appear multiple times. Each time you get a category after the first, its score value gets doubled. @@ -142,8 +151,9 @@ class chanceOfDoubleCategory(Range): range_start = 0 range_end = 100 default = 50 - -class chanceOfPoints(Range): + + +class ChanceOfPoints(Range): """ Getting points gives you... points. You can get 1 point, 10 points, and even 100 points. """ @@ -151,8 +161,9 @@ class chanceOfPoints(Range): range_start = 0 range_end = 100 default = 20 - -class pointsSize(Choice): + + +class PointsSize(Choice): """ If you choose to add points to the item pool, do you prefer many small points, medium-size points, a few larger points, or a mix of them? @@ -163,8 +174,9 @@ class pointsSize(Choice): option_large = 3 option_mix = 4 default = 2 - -class minimizeExtraItems(Choice): + + +class MinimizeExtraItems(Choice): """ Besides necessary items, Yacht Dice has extra useful/filler items in the item pool. It is possible however to decrease the number of extra items in multiplayer games. @@ -175,8 +187,9 @@ class minimizeExtraItems(Choice): option_no_dont = 1 option_yes_please = 2 default = 1 - -class addExtraPoints(Choice): + + +class AddExtraPoints(Choice): """ Yacht Dice typically has space for extra items. If there is space, would you like bonus points shuffled in the item pool? @@ -191,8 +204,9 @@ class addExtraPoints(Choice): option_sure = 2 option_never = 3 default = 2 - -class addStoryChapters(Choice): + + +class AddStoryChapters(Choice): """ Yacht Dice typically has space for more items. If there is space, would you like story chapters shuffled in the item pool? @@ -207,8 +221,9 @@ class addStoryChapters(Choice): option_sure = 2 option_never = 3 default = 3 - -class whichStory(Choice): + + +class WhichStory(Choice): """ The most important part of Yacht Dice is the narrative. If you choose to @@ -225,8 +240,9 @@ class whichStory(Choice): option_a_rollin_rhyme_adventure = 6 option_random_story = -1 default = -1 - -class allowManual(Choice): + + +class AllowManual(Choice): """ Yacht Dice allows players to roll IRL dice. By sending "manual" in the chat, an input field appears where you can type your dice rolls. @@ -237,32 +253,33 @@ class allowManual(Choice): option_yes_allow = 1 option_no_dont_allow = 2 default = 1 - + + @dataclass class YachtDiceOptions(PerGameCommonOptions): - game_difficulty: gameDifficulty - score_for_last_check: scoreForLastCheck - score_for_goal: scoreForGoal + game_difficulty: GameDifficulty + score_for_last_check: ScoreForLastCheck + score_for_goal: ScoreForGoal - minimal_number_of_dice_and_rolls: minimalNumberOfDiceAndRolls - number_of_dice_fragments_per_dice: numberDiceFragmentsPerDice - number_of_roll_fragments_per_roll: numberRollFragmentsPerRoll + minimal_number_of_dice_and_rolls: MinimalNumberOfDiceAndRolls + number_of_dice_fragments_per_dice: NumberDiceFragmentsPerDice + number_of_roll_fragments_per_roll: NumberRollFragmentsPerRoll - alternative_categories: alternativeCategories + alternative_categories: AlternativeCategories #the following options determine what extra items are shuffled into the pool: - weight_of_dice: chanceOfDice - weight_of_roll: chanceOfRoll - weight_of_fixed_score_multiplier: chanceOfFixedScoreMultiplier - weight_of_step_score_multiplier: chanceOfStepScoreMultiplier - weight_of_double_category: chanceOfDoubleCategory - weight_of_points: chanceOfPoints - points_size: pointsSize + weight_of_dice: ChanceOfDice + weight_of_roll: ChanceOfRoll + weight_of_fixed_score_multiplier: ChanceOfFixedScoreMultiplier + weight_of_step_score_multiplier: ChanceOfStepScoreMultiplier + weight_of_double_category: ChanceOfDoubleCategory + weight_of_points: ChanceOfPoints + points_size: PointsSize - minimize_extra_items: minimizeExtraItems - add_bonus_points: addExtraPoints - add_story_chapters: addStoryChapters - which_story: whichStory + minimize_extra_items: MinimizeExtraItems + add_bonus_points: AddExtraPoints + add_story_chapters: AddStoryChapters + which_story: WhichStory - allow_manual_input: allowManual + allow_manual_input: AllowManual \ No newline at end of file diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 5b50c7b2ac73..1a020e028521 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -4,7 +4,7 @@ import math from collections import defaultdict -#List of categories, and the name of the logic class associated with it +# List of categories, and the name of the logic class associated with it category_mappings = { "Category Ones": "Ones", "Category Twos": "Twos", @@ -41,21 +41,21 @@ "Category 4&5 Full House": "FourAndFiveFullHouse" } -#This class adds logic to the apworld. -#In short, we ran a simulation for every possible combination of dice and rolls you can have, per category. -#This simulation has a good strategy for locking dice. -#This gives rise to an approximate discrete distribution per category. -#We calculate the distribution of the total score. -#We then pick a correct percentile to reflect the correct score that should be in logic. -#The score is logic is *much* lower than the actual maximum reachable score. +# This class adds logic to the apworld. +# In short, we ran a simulation for every possible combination of dice and rolls you can have, per category. +# This simulation has a good strategy for locking dice. +# This gives rise to an approximate discrete distribution per category. +# We calculate the distribution of the total score. +# We then pick a correct percentile to reflect the correct score that should be in logic. +# The score is logic is *much* lower than the actual maximum reachable score. class Category: def __init__(self, name, quantity = 1): self.name = name - self.quantity = quantity #how many times you have the category + self.quantity = quantity # how many times you have the category - #return mean score of a category + # return mean score of a category def mean_score(self, num_dice, num_rolls): if num_dice == 0 or num_rolls == 0: return 0 @@ -66,10 +66,10 @@ def mean_score(self, num_dice, num_rolls): def extract_progression(state, player, options): - #method to obtain a list of what items the player has. - #this includes categories, dice, rolls and score multiplier etc. + # method to obtain a list of what items the player has. + # this includes categories, dice, rolls and score multiplier etc. - if player == "state_is_a_list": #the state variable is just a list with the names of the items + if player == "state_is_a_list": # the state variable is just a list with the names of the items number_of_dice = ( state.count("Dice") + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value @@ -89,7 +89,7 @@ def extract_progression(state, player, options): extra_points_in_logic = state.count("1 Point") extra_points_in_logic += state.count("10 Points") * 10 extra_points_in_logic += state.count("100 Points") * 100 - else: #state is an Archipelago object, so we need state.count(..., player) + else: # state is an Archipelago object, so we need state.count(..., player) number_of_dice = ( state.count("Dice", player) + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value @@ -113,23 +113,23 @@ def extract_progression(state, player, options): return [categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic] -#We will store the results of this function as it is called often for the same parameters. +# We will store the results of this function as it is called often for the same parameters. yachtdice_cache = {} -#Function that returns the feasible score in logic based on items obtained. +# Function that returns the feasible score in logic based on items obtained. def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff): tup = tuple([tuple(sorted([c.name+str(c.quantity) for c in categories])), num_dice, num_rolls, fixed_mult, step_mult, diff]) #identifier - #if already computed, return the result + # if already computed, return the result if tup in yachtdice_cache.keys(): return yachtdice_cache[tup] - #sort categories because for the step multiplier, you will want low-scoring categories first + # sort categories because for the step multiplier, you will want low-scoring categories first categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) - #function to add two discrete distribution. - #defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) + # function to add two discrete distribution. + # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) def add_distributions(dist1, dist2): combined_dist = defaultdict(float) for val1, prob1 in dist1.items(): @@ -137,8 +137,8 @@ def add_distributions(dist1, dist2): combined_dist[val1 + val2] += prob1 * prob2 return dict(combined_dist) - #function to take the maximum of "times" i.i.d. dist1. - #(I have tried using defaultdict here too but this made it slower.) + # function to take the maximum of "times" i.i.d. dist1. + # (I have tried using defaultdict here too but this made it slower.) def max_dist(dist1, mults): new_dist = {0: 1} for mult in mults: @@ -157,7 +157,7 @@ def max_dist(dist1, mults): return new_dist - #Returns percentile value of a distribution. + # Returns percentile value of a distribution. def percentile_distribution(dist, percentile): sorted_values = sorted(dist.keys()) cumulative_prob = 0 @@ -172,13 +172,13 @@ def percentile_distribution(dist, percentile): # Return the first value if percentile is lower than all probabilities return prev_val if prev_val is not None else sorted_values[0] - #parameters for logic. - #perc_return is, per difficulty, the percentages of total score it returns (it averages out the values) - #diff_divide determines how many shots the logic gets per category. Lower = more shots. + # parameters for logic. + # perc_return is, per difficulty, the percentages of total score it returns (it averages out the values) + # diff_divide determines how many shots the logic gets per category. Lower = more shots. perc_return = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] diff_divide = [0, 9, 7, 3, 2][diff] - #calculate total distribution + # calculate total distribution total_dist = {0: 1} for j in range(len(categories)): if num_dice == 0 or num_rolls == 0: @@ -191,14 +191,14 @@ def percentile_distribution(dist, percentile): cat_mult = 2 ** (categories[j].quantity-1) - #for higher difficulties, the simulation gets multiple tries for categories. + # for higher difficulties, the simulation gets multiple tries for categories. max_tries = j // diff_divide mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0,j - max_tries), j+1)] dist = max_dist(dist, mults) total_dist = add_distributions(total_dist, dist) - #save result into the cache, then return it + # save result into the cache, then return it outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) yachtdice_cache[tup] = max(5, math.floor(outcome)) return yachtdice_cache[tup] diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 0add2bd8df6e..9be60986c0c6 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -2,7 +2,8 @@ # Every entry consists of a key. This key has input category, number of dice, and number of rolls. # The value then shows a list of all possible scores to get, and how many times of 100000 it achieved. -#example: ("Choice", 2, 2): {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} -#this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. -#13639 out of 100000 times, a score of 8 was achieved for example. +# example: ("Choice", 2, 2): +# {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} +# this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. +# 13639 out of 100000 times, a score of 8 was achieved for example. yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 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{30: 97355, 0: 2645}, ("SmallStraight", 8, 5): {30: 98990, 0: 1010}, ("SmallStraight", 8, 6): {30: 99592, 0: 408}, ("SmallStraight", 8, 7): {30: 99847, 0: 153}, ("SmallStraight", 8, 8): {30: 99922, 0: 78}, ("LargeStraight", 0, 0): {0: 100000}, ("LargeStraight", 0, 1): {0: 100000}, ("LargeStraight", 0, 2): {0: 100000}, ("LargeStraight", 0, 3): {0: 100000}, ("LargeStraight", 0, 4): {0: 100000}, ("LargeStraight", 0, 5): {0: 100000}, ("LargeStraight", 0, 6): {0: 100000}, ("LargeStraight", 0, 7): {0: 100000}, ("LargeStraight", 0, 8): {0: 100000}, ("LargeStraight", 1, 0): {0: 100000}, ("LargeStraight", 1, 1): {0: 100000}, ("LargeStraight", 1, 2): {0: 100000}, ("LargeStraight", 1, 3): {0: 100000}, ("LargeStraight", 1, 4): {0: 100000}, ("LargeStraight", 1, 5): {0: 100000}, ("LargeStraight", 1, 6): {0: 100000}, ("LargeStraight", 1, 7): {0: 100000}, ("LargeStraight", 1, 8): {0: 100000}, ("LargeStraight", 2, 0): {0: 100000}, ("LargeStraight", 2, 1): {0: 100000}, ("LargeStraight", 2, 2): {0: 100000}, ("LargeStraight", 2, 3): {0: 100000}, ("LargeStraight", 2, 4): {0: 100000}, ("LargeStraight", 2, 5): {0: 100000}, ("LargeStraight", 2, 6): {0: 100000}, ("LargeStraight", 2, 7): {0: 100000}, ("LargeStraight", 2, 8): {0: 100000}, ("LargeStraight", 3, 0): {0: 100000}, ("LargeStraight", 3, 1): {0: 100000}, ("LargeStraight", 3, 2): {0: 100000}, ("LargeStraight", 3, 3): {0: 100000}, ("LargeStraight", 3, 4): {0: 100000}, ("LargeStraight", 3, 5): {0: 100000}, ("LargeStraight", 3, 6): {0: 100000}, ("LargeStraight", 3, 7): {0: 100000}, ("LargeStraight", 3, 8): {0: 100000}, ("LargeStraight", 4, 0): {0: 100000}, ("LargeStraight", 4, 1): {0: 100000}, ("LargeStraight", 4, 2): {0: 100000}, ("LargeStraight", 4, 3): {0: 100000}, ("LargeStraight", 4, 4): {0: 100000}, ("LargeStraight", 4, 5): {0: 100000}, ("LargeStraight", 4, 6): {0: 100000}, ("LargeStraight", 4, 7): {0: 100000}, ("LargeStraight", 4, 8): {0: 100000}, ("LargeStraight", 5, 0): {0: 100000}, ("LargeStraight", 5, 1): {0: 96929, 40: 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("LargeStraight", 7, 5): {40: 89310, 0: 10690}, ("LargeStraight", 7, 6): {40: 93949, 0: 6051}, ("LargeStraight", 7, 7): {40: 96383, 0: 3617}, ("LargeStraight", 7, 8): {40: 98059, 0: 1941}, ("LargeStraight", 8, 0): {0: 100000}, ("LargeStraight", 8, 1): {40: 26480, 0: 73520}, ("LargeStraight", 8, 2): {40: 60969, 0: 39031}, ("LargeStraight", 8, 3): {40: 80844, 0: 19156}, ("LargeStraight", 8, 4): {40: 90696, 0: 9304}, ("LargeStraight", 8, 5): {40: 95580, 0: 4420}, ("LargeStraight", 8, 6): {40: 97859, 0: 2141}, ("LargeStraight", 8, 7): {40: 98963, 0: 1037}, ("LargeStraight", 8, 8): {40: 99489, 0: 511}, ("FullHouse", 0, 0): {0: 100000}, ("FullHouse", 0, 1): {0: 100000}, ("FullHouse", 0, 2): {0: 100000}, ("FullHouse", 0, 3): {0: 100000}, ("FullHouse", 0, 4): {0: 100000}, ("FullHouse", 0, 5): {0: 100000}, ("FullHouse", 0, 6): {0: 100000}, ("FullHouse", 0, 7): {0: 100000}, ("FullHouse", 0, 8): {0: 100000}, ("FullHouse", 1, 0): {0: 100000}, ("FullHouse", 1, 1): {0: 100000}, ("FullHouse", 1, 2): {0: 100000}, ("FullHouse", 1, 3): {0: 100000}, ("FullHouse", 1, 4): {0: 100000}, ("FullHouse", 1, 5): {0: 100000}, ("FullHouse", 1, 6): {0: 100000}, ("FullHouse", 1, 7): {0: 100000}, ("FullHouse", 1, 8): {0: 100000}, ("FullHouse", 2, 0): {0: 100000}, ("FullHouse", 2, 1): {0: 100000}, ("FullHouse", 2, 2): {0: 100000}, ("FullHouse", 2, 3): {0: 100000}, ("FullHouse", 2, 4): {0: 100000}, ("FullHouse", 2, 5): {0: 100000}, ("FullHouse", 2, 6): {0: 100000}, ("FullHouse", 2, 7): {0: 100000}, ("FullHouse", 2, 8): {0: 100000}, ("FullHouse", 3, 0): {0: 100000}, ("FullHouse", 3, 1): {0: 100000}, ("FullHouse", 3, 2): {0: 100000}, ("FullHouse", 3, 3): {0: 100000}, ("FullHouse", 3, 4): {0: 100000}, ("FullHouse", 3, 5): {0: 100000}, ("FullHouse", 3, 6): {0: 100000}, ("FullHouse", 3, 7): {0: 100000}, ("FullHouse", 3, 8): {0: 100000}, ("FullHouse", 4, 0): {0: 100000}, ("FullHouse", 4, 1): {0: 100000}, ("FullHouse", 4, 2): {0: 100000}, ("FullHouse", 4, 3): {0: 100000}, ("FullHouse", 4, 4): {0: 100000}, ("FullHouse", 4, 5): {0: 100000}, ("FullHouse", 4, 6): {0: 100000}, ("FullHouse", 4, 7): {0: 100000}, ("FullHouse", 4, 8): {0: 100000}, ("FullHouse", 5, 0): {0: 100000}, ("FullHouse", 5, 1): {0: 96155, 25: 3845}, ("FullHouse", 5, 2): {0: 81391, 25: 18609}, ("FullHouse", 5, 3): {25: 35700, 0: 64300}, ("FullHouse", 5, 4): {25: 50331, 0: 49669}, ("FullHouse", 5, 5): {25: 61981, 0: 38019}, ("FullHouse", 5, 6): {25: 70249, 0: 29751}, ("FullHouse", 5, 7): {25: 77040, 0: 22960}, ("FullHouse", 5, 8): {25: 81350, 0: 18650}, ("FullHouse", 6, 0): {0: 100000}, ("FullHouse", 6, 1): {25: 17011, 0: 82989}, ("FullHouse", 6, 2): {0: 47153, 25: 52847}, ("FullHouse", 6, 3): {25: 75849, 0: 24151}, ("FullHouse", 6, 4): {0: 12519, 25: 87481}, ("FullHouse", 6, 5): {25: 93476, 0: 6524}, ("FullHouse", 6, 6): {0: 3606, 25: 96394}, ("FullHouse", 6, 7): {25: 98041, 0: 1959}, ("FullHouse", 6, 8): {25: 98974, 0: 1026}, ("FullHouse", 7, 0): {0: 100000}, ("FullHouse", 7, 1): {0: 60232, 25: 39768}, ("FullHouse", 7, 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("Yacht", 1, 3): {0: 100000}, ("Yacht", 1, 4): {0: 100000}, ("Yacht", 1, 5): {0: 100000}, ("Yacht", 1, 6): {0: 100000}, ("Yacht", 1, 7): {0: 100000}, ("Yacht", 1, 8): {0: 100000}, ("Yacht", 2, 0): {0: 100000}, ("Yacht", 2, 1): {0: 100000}, ("Yacht", 2, 2): {0: 100000}, ("Yacht", 2, 3): {0: 100000}, ("Yacht", 2, 4): {0: 100000}, ("Yacht", 2, 5): {0: 100000}, ("Yacht", 2, 6): {0: 100000}, ("Yacht", 2, 7): {0: 100000}, ("Yacht", 2, 8): {0: 100000}, ("Yacht", 3, 0): {0: 100000}, ("Yacht", 3, 1): {0: 100000}, ("Yacht", 3, 2): {0: 100000}, ("Yacht", 3, 3): {0: 100000}, ("Yacht", 3, 4): {0: 100000}, ("Yacht", 3, 5): {0: 100000}, ("Yacht", 3, 6): {0: 100000}, ("Yacht", 3, 7): {0: 100000}, ("Yacht", 3, 8): {0: 100000}, ("Yacht", 4, 0): {0: 100000}, ("Yacht", 4, 1): {0: 100000}, ("Yacht", 4, 2): {0: 100000}, ("Yacht", 4, 3): {0: 100000}, ("Yacht", 4, 4): {0: 100000}, ("Yacht", 4, 5): {0: 100000}, ("Yacht", 4, 6): {0: 100000}, ("Yacht", 4, 7): {0: 100000}, ("Yacht", 4, 8): {0: 100000}, ("Yacht", 5, 0): {0: 100000}, ("Yacht", 5, 1): {0: 99919, 50: 81}, ("Yacht", 5, 2): {0: 98727, 50: 1273}, ("Yacht", 5, 3): {50: 4653, 0: 95347}, ("Yacht", 5, 4): {0: 89969, 50: 10031}, ("Yacht", 5, 5): {0: 83124, 50: 16876}, ("Yacht", 5, 6): {0: 75023, 50: 24977}, ("Yacht", 5, 7): {0: 67007, 50: 32993}, ("Yacht", 5, 8): {0: 58618, 50: 41382}, ("Yacht", 6, 0): {0: 100000}, ("Yacht", 6, 1): {0: 99571, 50: 429}, ("Yacht", 6, 2): {0: 94726, 50: 5274}, ("Yacht", 6, 3): {0: 84366, 50: 15634}, ("Yacht", 6, 4): {50: 29218, 0: 70782}, ("Yacht", 6, 5): {0: 56573, 50: 43427}, ("Yacht", 6, 6): {50: 55794, 0: 44206}, ("Yacht", 6, 7): {50: 66422, 0: 33578}, ("Yacht", 6, 8): {0: 25079, 50: 74921}, ("Yacht", 7, 0): {0: 100000}, ("Yacht", 7, 1): {0: 98833, 50: 1167}, ("Yacht", 7, 2): {0: 87511, 50: 12489}, ("Yacht", 7, 3): {0: 68252, 50: 31748}, ("Yacht", 7, 4): {0: 49065, 50: 50935}, ("Yacht", 7, 5): {0: 33364, 50: 66636}, ("Yacht", 7, 6): {50: 78517, 0: 21483}, ("Yacht", 7, 7): {50: 86403, 0: 13597}, ("Yacht", 7, 8): {50: 91517, 0: 8483}, ("Yacht", 8, 0): {0: 100000}, ("Yacht", 8, 1): {0: 97212, 50: 2788}, ("Yacht", 8, 2): {50: 23038, 0: 76962}, ("Yacht", 8, 3): {0: 50533, 50: 49467}, ("Yacht", 8, 4): {50: 70019, 0: 29981}, ("Yacht", 8, 5): {50: 83224, 0: 16776}, ("Yacht", 8, 6): {50: 90921, 0: 9079}, ("Yacht", 8, 7): {50: 95295, 0: 4705}, ("Yacht", 8, 8): {50: 97637, 0: 2363}, ("Distincts", 1, 1): {1: 100000}, ("Distincts", 1, 2): {1: 100000}, ("Distincts", 1, 3): {1: 100000}, ("Distincts", 1, 4): {1: 100000}, ("Distincts", 1, 5): {1: 100000}, ("Distincts", 1, 6): {1: 100000}, ("Distincts", 1, 7): {1: 100000}, ("Distincts", 1, 8): {1: 100000}, ("Distincts", 2, 1): {2: 83196, 1: 16804}, ("Distincts", 2, 2): {2: 97314, 1: 2686}, ("Distincts", 2, 3): {2: 99537, 1: 463}, ("Distincts", 2, 4): {2: 99934, 1: 66}, ("Distincts", 2, 5): {2: 99989, 1: 11}, ("Distincts", 2, 6): {2: 99999, 1: 1}, ("Distincts", 2, 7): {2: 100000}, ("Distincts", 2, 8): {2: 100000}, ("Distincts", 3, 1): {2: 41714, 3: 55526, 1: 2760}, ("Distincts", 3, 2): {2: 14936, 3: 84986, 1: 78}, ("Distincts", 3, 3): {3: 95134, 2: 4865, 1: 1}, ("Distincts", 3, 4): {3: 98341, 2: 1659}, ("Distincts", 3, 5): {3: 99425, 2: 575}, ("Distincts", 3, 6): {3: 99800, 2: 200}, ("Distincts", 3, 7): {3: 99931, 2: 69}, ("Distincts", 3, 8): {3: 99978, 2: 22}, ("Distincts", 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, ("Distincts", 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, ("Distincts", 4, 3): {4: 80139, 3: 19631, 2: 230}, ("Distincts", 4, 4): {4: 90121, 3: 9858, 2: 21}, ("Distincts", 4, 5): {4: 95094, 3: 4904, 2: 2}, ("Distincts", 4, 6): {4: 97506, 3: 2494}, ("Distincts", 4, 7): {4: 98703, 3: 1297}, ("Distincts", 4, 8): {4: 99389, 3: 611}, ("Distincts", 5, 1): {4: 46379, 5: 9285, 3: 38538, 2: 5717, 1: 81}, ("Distincts", 5, 2): {4: 56472, 5: 31685, 3: 11647, 2: 196}, ("Distincts", 5, 3): {4: 44724, 5: 52254, 3: 3016, 2: 6}, ("Distincts", 5, 4): {4: 31632, 5: 67646, 3: 722}, ("Distincts", 5, 5): {5: 78394, 4: 21391, 3: 215}, ("Distincts", 5, 6): {5: 85475, 4: 14470, 3: 55}, ("Distincts", 5, 7): {5: 90340, 4: 9645, 3: 15}, ("Distincts", 5, 8): {5: 93537, 4: 6461, 3: 2}, ("Distincts", 6, 1): {3: 22985, 5: 23032, 4: 50464, 2: 2019, 6: 1492, 1: 8}, ("Distincts", 6, 2): {5: 52573, 4: 35174, 6: 8954, 3: 3273, 2: 26}, ("Distincts", 6, 3): {4: 17376, 5: 62578, 6: 19629, 3: 417}, ("Distincts", 6, 4): {5: 61029, 6: 31140, 4: 7787, 3: 44}, ("Distincts", 6, 5): {6: 41304, 5: 54997, 4: 3690, 3: 9}, ("Distincts", 6, 6): {5: 47225, 6: 51218, 4: 1557}, ("Distincts", 6, 7): {6: 58807, 5: 40465, 4: 728}, ("Distincts", 6, 8): {6: 65828, 5: 33851, 4: 321}, ("Distincts", 7, 1): {4: 44964, 5: 36020, 3: 13006, 6: 5345, 2: 661, 1: 4}, ("Distincts", 7, 2): {5: 56731, 6: 23583, 4: 18847, 3: 838, 2: 1}, ("Distincts", 7, 3): {5: 50312, 6: 43637, 4: 5983, 3: 68}, ("Distincts", 7, 4): {6: 59811, 5: 38393, 4: 1792, 3: 4}, ("Distincts", 7, 5): {5: 27728, 6: 71743, 4: 529}, ("Distincts", 7, 6): {6: 80419, 5: 19417, 4: 164}, ("Distincts", 7, 7): {6: 86382, 5: 13565, 4: 53}, ("Distincts", 7, 8): {6: 90455, 5: 9531, 4: 14}, ("Distincts", 8, 1): {5: 44977, 4: 36582, 6: 11304, 3: 6939, 2: 197, 1: 1}, ("Distincts", 8, 2): {6: 39803, 5: 50783, 4: 9181, 3: 231, 2: 2}, ("Distincts", 8, 3): {6: 63276, 5: 34748, 4: 1967, 3: 9}, ("Distincts", 8, 4): {6: 78603, 5: 21008, 4: 389}, ("Distincts", 8, 5): {6: 87408, 5: 12514, 4: 78}, ("Distincts", 8, 6): {6: 92823, 5: 7159, 4: 18}, ("Distincts", 8, 7): {6: 95821, 5: 4175, 4: 4}, ("Distincts", 8, 8): {6: 97560, 5: 2440}, ("TwosAndThrees", 1, 1): {0: 66466, 2: 16929, 3: 16605}, ("TwosAndThrees", 1, 2): {0: 55640, 2: 13812, 3: 30548}, ("TwosAndThrees", 1, 3): {3: 42178, 0: 46223, 2: 11599}, ("TwosAndThrees", 1, 4): {3: 51830, 0: 38552, 2: 9618}, ("TwosAndThrees", 1, 5): {0: 32320, 3: 59706, 2: 7974}, ("TwosAndThrees", 1, 6): {0: 26733, 3: 66583, 2: 6684}, ("TwosAndThrees", 1, 7): {3: 72148, 0: 22289, 2: 5563}, ("TwosAndThrees", 1, 8): {3: 76636, 0: 18676, 2: 4688}, ("TwosAndThrees", 2, 1): {3: 22335, 2: 21965, 0: 44565, 4: 2837, 5: 5615, 6: 2683}, ("TwosAndThrees", 2, 2): {3: 33956, 0: 30855, 6: 9438, 2: 15480, 5: 8278, 4: 1993}, ("TwosAndThrees", 2, 3): {0: 21509, 3: 38995, 6: 17586, 2: 10838, 5: 9727, 4: 1345}, ("TwosAndThrees", 2, 4): {6: 26659, 3: 40188, 5: 9825, 2: 7489, 0: 14935, 4: 904}, ("TwosAndThrees", 2, 5): {3: 38402, 6: 35581, 2: 5169, 5: 9671, 0: 10492, 4: 685}, ("TwosAndThrees", 2, 6): {3: 35460, 6: 44295, 5: 8994, 0: 7185, 2: 3590, 4: 476}, ("TwosAndThrees", 2, 7): {6: 52017, 3: 32147, 0: 4880, 5: 8139, 2: 2495, 4: 322}, ("TwosAndThrees", 2, 8): {3: 28213, 5: 7294, 6: 59058, 0: 3464, 4: 223, 2: 1748}, ("TwosAndThrees", 3, 1): {3: 22284, 0: 29892, 6: 6003, 4: 5497, 5: 11005, 2: 22136, 8: 1368, 7: 1366, 9: 449}, ("TwosAndThrees", 3, 2): {5: 14092, 2: 12757, 3: 28287, 6: 15822, 0: 17285, 7: 1730, 4: 3213, 9: 2873, 8: 3941}, ("TwosAndThrees", 3, 3): {6: 24863, 3: 27111, 9: 7340, 5: 13522, 8: 6154, 0: 9889, 4: 1847, 2: 7547, 7: 1727}, ("TwosAndThrees", 3, 4): 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11827, 9: 21496, 11: 5412, 10: 1447, 4: 827, 7: 2251, 5: 9096, 0: 2183, 2: 2219}, ("TwosAndThrees", 4, 5): {5: 6024, 9: 27693, 8: 11169, 12: 12776, 3: 7946, 10: 1428, 6: 22064, 2: 1078, 11: 6926, 0: 987, 4: 381, 7: 1528}, ("TwosAndThrees", 4, 6): {9: 31606, 5: 3815, 8: 9649, 11: 7894, 3: 5070, 12: 19495, 6: 19042, 10: 1243, 2: 514, 7: 971, 0: 530, 4: 171}, ("TwosAndThrees", 4, 7): {6: 15556, 3: 3337, 9: 33379, 12: 26771, 5: 2427, 11: 8601, 2: 239, 8: 7881, 10: 918, 0: 224, 7: 584, 4: 83}, ("TwosAndThrees", 4, 8): {11: 8379, 6: 12179, 8: 6079, 9: 33703, 2: 130, 12: 34875, 3: 1931, 5: 1468, 10: 738, 7: 353, 0: 123, 4: 42}, ("TwosAndThrees", 5, 1): {8: 6572, 5: 16396, 6: 10247, 4: 8172, 3: 16607, 2: 16414, 7: 6170, 0: 13070, 9: 3061, 10: 1591, 11: 1136, 12: 374, 13: 124, 14: 55, 15: 11}, ("TwosAndThrees", 5, 2): {6: 16838, 8: 12090, 5: 14763, 7: 5565, 2: 6515, 3: 14466, 10: 3040, 0: 5213, 9: 9616, 12: 2659, 4: 3294, 11: 4470, 14: 636, 13: 578, 15: 257}, ("TwosAndThrees", 5, 3): {5: 9700, 3: 9638, 6: 17947, 11: 8066, 9: 16835, 8: 13214, 13: 1039, 7: 3741, 0: 2126, 12: 7402, 4: 1321, 2: 2581, 15: 1332, 14: 1842, 10: 3216}, ("TwosAndThrees", 5, 4): {6: 15410, 9: 20661, 15: 3811, 5: 5781, 14: 3435, 10: 3042, 11: 10468, 8: 11579, 7: 2157, 3: 5807, 12: 14158, 0: 848, 13: 1264, 2: 1086, 4: 493}, ("TwosAndThrees", 5, 5): {12: 20783, 14: 5166, 6: 12042, 9: 22225, 8: 8829, 11: 11126, 3: 3222, 7: 1226, 10: 2220, 15: 7632, 5: 3184, 13: 1346, 2: 401, 0: 380, 4: 218}, ("TwosAndThrees", 5, 6): {15: 13013, 14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ("TwosAndThrees", 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ("TwosAndThrees", 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ("TwosAndThrees", 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ("TwosAndThrees", 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ("TwosAndThrees", 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ("TwosAndThrees", 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ("TwosAndThrees", 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ("TwosAndThrees", 6, 6): {11: 8492, 15: 21066, 12: 21369, 17: 5246, 6: 3342, 16: 1335, 14: 10649, 8: 3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ("TwosAndThrees", 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ("TwosAndThrees", 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 4: 2}, ("TwosAndThrees", 7, 1): {8: 10304, 0: 5802, 2: 10380, 11: 3830, 7: 9559, 10: 5017, 5: 15384, 4: 7689, 3: 10100, 9: 6289, 13: 1211, 6: 11027, 12: 2088, 14: 735, 15: 309, 16: 177, 17: 59, 19: 11, 18: 27, 20: 2}, ("TwosAndThrees", 7, 2): {10: 6466, 0: 1605, 8: 13172, 7: 5824, 11: 9919, 13: 3610, 9: 11600, 14: 4206, 2: 2810, 6: 11269, 5: 9442, 12: 6844, 15: 2299, 3: 6242, 17: 923, 16: 966, 4: 2215, 18: 376, 19: 114, 20: 76, 21: 22}, ("TwosAndThrees", 7, 3): {6: 8288, 7: 2641, 3: 2956, 9: 13017, 8: 10013, 14: 8279, 16: 2082, 12: 12302, 11: 12133, 13: 4465, 18: 1968, 15: 6674, 10: 5028, 17: 3001, 5: 4265, 2: 792, 20: 437, 21: 258, 4: 558, 0: 471, 19: 372}, ("TwosAndThrees", 7, 4): {15: 12396, 9: 10994, 18: 5400, 21: 1006, 5: 1774, 17: 5917, 14: 10700, 12: 15357, 11: 11007, 20: 1270, 10: 3007, 8: 6030, 7: 1160, 6: 4949, 3: 1218, 13: 3950, 16: 2660, 2: 211, 19: 710, 4: 157, 0: 127}, ("TwosAndThrees", 7, 5): {17: 8259, 20: 2565, 15: 17220, 9: 8155, 5: 671, 18: 10513, 21: 2728, 6: 2533, 11: 8026, 12: 15164, 16: 2851, 8: 3249, 14: 11317, 13: 3008, 19: 1041, 4: 47, 7: 426, 10: 1653, 3: 478, 2: 56, 0: 40}, ("TwosAndThrees", 7, 6): {12: 13233, 14: 10114, 18: 16405, 15: 19936, 16: 2451, 21: 5650, 6: 1331, 20: 4044, 17: 9948, 11: 5449, 10: 827, 9: 5335, 19: 1171, 13: 1883, 8: 1584, 7: 180, 5: 249, 3: 166, 2: 18, 0: 9, 4: 17}, ("TwosAndThrees", 7, 7): {17: 10123, 20: 5583, 18: 22122, 15: 20423, 14: 7969, 21: 10113, 12: 10638, 11: 3321, 9: 3282, 16: 1910, 13: 1273, 19: 1293, 6: 591, 8: 779, 7: 55, 5: 86, 3: 59, 10: 368, 2: 4, 0: 6, 4: 2}, ("TwosAndThrees", 7, 8): {17: 9621, 21: 15780, 20: 6667, 12: 7854, 18: 26592, 14: 5885, 15: 19476, 5: 36, 8: 318, 19: 1247, 16: 1458, 9: 1983, 11: 1880, 13: 707, 6: 249, 10: 197, 7: 19, 3: 27, 2: 2, 0: 2}, ("TwosAndThrees", 8, 1): {12: 3210, 0: 3799, 7: 10309, 5: 13610, 10: 6648, 6: 10144, 3: 7840, 2: 7917, 9: 7504, 8: 11477, 4: 6794, 13: 2299, 11: 5342, 14: 1498, 16: 444, 15: 738, 17: 245, 19: 51, 18: 105, 20: 20, 21: 4, 22: 1, 23: 1}, ("TwosAndThrees", 8, 2): {11: 11041, 12: 8197, 5: 6900, 18: 1088, 9: 10605, 14: 6195, 8: 11961, 16: 2205, 10: 7327, 13: 5337, 6: 8536, 0: 902, 4: 1547, 15: 3891, 3: 4041, 7: 5214, 20: 384, 2: 1872, 17: 2062, 21: 155, 22: 37, 19: 479, 23: 17, 24: 7}, ("TwosAndThrees", 8, 3): {11: 11338, 12: 11675, 13: 5514, 15: 8898, 6: 5105, 17: 5667, 9: 9728, 8: 7389, 18: 3828, 22: 206, 19: 1391, 14: 10523, 16: 3854, 10: 4686, 7: 1931, 23: 227, 21: 1014, 20: 1681, 3: 1598, 4: 392, 5: 2625, 2: 422, 0: 201, 24: 107}, ("TwosAndThrees", 8, 4): {17: 9133, 12: 11960, 15: 13098, 16: 4254, 11: 8286, 9: 6908, 20: 3995, 21: 3323, 14: 11359, 10: 2363, 18: 8743, 13: 4118, 19: 2217, 8: 3661, 24: 520, 7: 648, 6: 2558, 23: 768, 22: 471, 3: 518, 2: 97, 5: 884, 4: 75, 0: 43}, ("TwosAndThrees", 8, 5): {21: 7245, 13: 2524, 16: 3469, 12: 9934, 11: 5061, 17: 10743, 15: 14970, 18: 14072, 24: 1671, 14: 9578, 10: 1007, 20: 6621, 6: 1110, 9: 4201, 19: 2728, 23: 1727, 8: 1714, 22: 848, 5: 316, 3: 188, 7: 211, 0: 16, 2: 16, 4: 30}, ("TwosAndThrees", 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ("TwosAndThrees", 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ("TwosAndThrees", 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ("SumOfOdds", 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ("SumOfOdds", 1, 2): {0: 33472, 3: 27886, 1: 11017, 5: 27625}, ("SumOfOdds", 1, 3): {0: 27892, 5: 39809, 1: 9293, 3: 23006}, ("SumOfOdds", 1, 4): {3: 19299, 5: 49784, 0: 23060, 1: 7857}, ("SumOfOdds", 1, 5): {5: 58167, 3: 15941, 1: 6559, 0: 19333}, ("SumOfOdds", 1, 6): {5: 65098, 0: 16250, 1: 5428, 3: 13224}, ("SumOfOdds", 1, 7): {5: 70969, 3: 11191, 0: 13420, 1: 4420}, ("SumOfOdds", 1, 8): {5: 75949, 0: 11042, 3: 9361, 1: 3648}, ("SumOfOdds", 2, 1): {5: 16856, 8: 5540, 6: 8312, 4: 5580, 0: 24611, 1: 16800, 3: 16654, 2: 2815, 10: 2832}, ("SumOfOdds", 2, 2): {8: 15414, 3: 18386, 6: 13858, 0: 11216, 4: 6190, 5: 18558, 10: 7773, 1: 7355, 2: 1250}, ("SumOfOdds", 2, 3): {1: 5252, 6: 12709, 3: 12782, 8: 18363, 5: 22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ("SumOfOdds", 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ("SumOfOdds", 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 33791, 8: 18712, 2: 415, 6: 10020, 1: 2502}, ("SumOfOdds", 2, 6): {0: 2606, 8: 17272, 6: 8852, 10: 42502, 3: 4279, 5: 20970, 1: 1769, 4: 1468, 2: 282}, ("SumOfOdds", 2, 7): {5: 19160, 8: 15860, 6: 7664, 10: 50054, 1: 1225, 3: 2939, 4: 1039, 0: 1872, 2: 187}, ("SumOfOdds", 2, 8): {5: 16853, 8: 14179, 10: 57618, 3: 2121, 6: 6400, 1: 781, 0: 1230, 4: 671, 2: 147}, ("SumOfOdds", 3, 1): {4: 8109, 5: 13902, 2: 4149, 8: 8321, 6: 12607, 1: 12587, 7: 2743, 3: 12861, 0: 12467, 9: 3339, 10: 4223, 11: 2801, 15: 479, 13: 1412}, ("SumOfOdds", 3, 2): {8: 15592, 1: 3633, 5: 10240, 13: 6362, 3: 9469, 10: 7709, 15: 2120, 6: 13852, 11: 9070, 9: 7284, 4: 6110, 7: 3557, 0: 3750, 2: 1252}, ("SumOfOdds", 3, 3): {6: 10744, 10: 13273, 7: 2564, 8: 15277, 3: 5427, 13: 11044, 11: 10759, 5: 9729, 15: 6204, 1: 2180, 9: 6354, 4: 3603, 0: 2140, 2: 702}, ("SumOfOdds", 3, 4): {8: 13319, 6: 7837, 11: 11288, 9: 5211, 13: 14216, 15: 12408, 4: 2122, 3: 3247, 10: 17343, 7: 1738, 5: 8380, 1: 1212, 0: 1265, 2: 414}, ("SumOfOdds", 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ("SumOfOdds", 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ("SumOfOdds", 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ("SumOfOdds", 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ("SumOfOdds", 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 299, 20: 78}, ("SumOfOdds", 4, 2): {7: 4928, 20: 589, 9: 9721, 14: 5301, 18: 2447, 13: 8342, 10: 7201, 4: 4099, 8: 11060, 15: 2925, 6: 9467, 3: 4253, 11: 11978, 12: 3975, 1: 1599, 16: 4530, 5: 5463, 0: 1267, 2: 855}, ("SumOfOdds", 4, 3): {15: 7108, 8: 9018, 10: 8843, 20: 2524, 18: 5690, 16: 7373, 9: 7238, 11: 11998, 12: 3466, 13: 12173, 14: 5857, 4: 2033, 6: 5991, 1: 817, 2: 382, 3: 2070, 5: 4051, 0: 579, 7: 2789}, ("SumOfOdds", 4, 4): {5: 2645, 14: 5928, 8: 6372, 11: 10474, 13: 13555, 12: 2765, 16: 9426, 15: 11453, 18: 9512, 10: 8758, 6: 3695, 20: 6196, 4: 912, 2: 187, 9: 4810, 3: 1009, 0: 295, 7: 1637, 1: 371}, ("SumOfOdds", 4, 5): {20: 11573, 11: 8461, 15: 15171, 8: 4270, 16: 10401, 13: 12479, 18: 12704, 14: 5099, 10: 8159, 6: 2313, 9: 3010, 5: 1893, 12: 2054, 4: 520, 7: 932, 1: 194, 3: 528, 0: 136, 2: 103}, ("SumOfOdds", 4, 6): {14: 4251, 10: 7130, 15: 17784, 11: 6594, 20: 17780, 18: 14865, 13: 11039, 16: 10571, 8: 2849, 9: 1928, 6: 1369, 12: 1509, 7: 583, 5: 1123, 0: 75, 3: 225, 4: 198, 1: 84, 2: 43}, ("SumOfOdds", 4, 7): {11: 5056, 15: 19254, 20: 25294, 18: 15947, 12: 1124, 16: 10290, 13: 9005, 8: 1697, 9: 1202, 14: 3338, 5: 703, 3: 129, 10: 5644, 7: 317, 6: 798, 4: 112, 2: 19, 1: 38, 0: 33}, ("SumOfOdds", 4, 8): {15: 19503, 18: 16250, 10: 4365, 20: 33016, 13: 7294, 16: 9512, 11: 3635, 14: 2618, 6: 480, 12: 747, 9: 760, 0: 15, 8: 1001, 4: 64, 5: 448, 1: 22, 2: 17, 7: 203, 3: 50}, ("SumOfOdds", 5, 1): {5: 8737, 8: 8879, 11: 7319, 7: 7013, 16: 1886, 6: 11185, 9: 8310, 10: 6485, 14: 3092, 4: 7062, 0: 3061, 13: 4040, 3: 6431, 1: 5196, 17: 609, 12: 3785, 15: 1883, 19: 406, 2: 3389, 18: 788, 21: 205, 20: 172, 23: 48, 25: 19}, ("SumOfOdds", 5, 2): {4: 2325, 12: 6880, 21: 1941, 5: 2829, 17: 3048, 18: 4003, 11: 10285, 16: 7538, 14: 8806, 9: 8227, 8: 6951, 3: 1889, 7: 4166, 13: 8344, 10: 6439, 1: 723, 6: 5351, 19: 2919, 15: 4531, 0: 421, 23: 787, 20: 977, 2: 455, 25: 165}, ("SumOfOdds", 5, 3): {13: 9355, 7: 1955, 15: 6633, 23: 2922, 10: 5293, 9: 5007, 8: 4456, 11: 8533, 5: 1584, 16: 10471, 14: 8325, 18: 8174, 6: 2861, 21: 4463, 12: 4910, 3: 715, 19: 4741, 25: 1017, 20: 3505, 17: 3498, 4: 938, 1: 292, 2: 179, 0: 173}, ("SumOfOdds", 5, 4): {15: 8218, 10: 4157, 11: 6088, 21: 7049, 6: 1464, 18: 10977, 9: 2814, 12: 3036, 17: 3222, 23: 5968, 16: 10748, 13: 8276, 19: 5463, 20: 7264, 14: 6799, 3: 322, 8: 2685, 7: 929, 25: 3023, 5: 899, 4: 353, 0: 60, 2: 65, 1: 121}, ("SumOfOdds", 5, 5): {23: 9242, 21: 8982, 18: 12099, 16: 9890, 13: 6376, 14: 5000, 7: 416, 15: 8283, 25: 6730, 10: 2969, 20: 11138, 19: 5449, 11: 4198, 17: 2686, 8: 1446, 6: 749, 9: 1508, 12: 1961, 5: 490, 4: 169, 3: 124, 2: 23, 1: 40, 0: 32}, ("SumOfOdds", 5, 6): {16: 8471, 14: 3473, 15: 7862, 20: 14372, 18: 11813, 23: 11945, 13: 4540, 25: 11854, 17: 2176, 21: 9884, 19: 5053, 7: 214, 11: 2724, 10: 2039, 12: 1252, 5: 265, 8: 764, 9: 796, 6: 351, 3: 52, 0: 14, 4: 51, 2: 10, 1: 25}, ("SumOfOdds", 5, 7): {21: 10043, 15: 6797, 18: 10646, 20: 17146, 16: 6743, 23: 14100, 25: 18070, 14: 2413, 13: 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16970, 30: 7669, 38: 12599, 32: 9076, 42: 12085, 34: 14812, 24: 1645, 28: 5058, 22: 824, 20: 339, 18: 204, 14: 24, 16: 77, 12: 18, 10: 4}, ("SumOfEvens", 8, 1): {24: 5501, 14: 11696, 26: 3771, 28: 2435, 16: 11862, 18: 11145, 10: 8598, 32: 813, 6: 4344, 0: 373, 12: 10648, 2: 1020, 22: 7414, 20: 9463, 8: 6532, 30: 1376, 4: 2316, 38: 73, 34: 408, 36: 180, 40: 24, 42: 4, 44: 3, 46: 1}, ("SumOfEvens", 8, 2): {38: 1519, 26: 10879, 16: 6135, 20: 9772, 30: 8043, 32: 6058, 28: 9711, 18: 7865, 24: 11148, 34: 4215, 22: 10922, 10: 1536, 14: 4098, 36: 2718, 12: 2761, 8: 772, 6: 386, 42: 342, 40: 769, 4: 141, 2: 45, 44: 107, 46: 37, 0: 17, 48: 4}, ("SumOfEvens", 8, 3): {30: 12249, 28: 11561, 24: 8306, 36: 7860, 16: 1616, 40: 3315, 22: 6221, 38: 5627, 34: 10070, 18: 2630, 32: 11747, 20: 4428, 26: 10158, 42: 1741, 14: 874, 44: 669, 12: 430, 46: 173, 10: 187, 8: 65, 4: 5, 6: 39, 48: 28, 2: 1}, ("SumOfEvens", 8, 4): {40: 7009, 34: 12243, 28: 9047, 32: 12344, 38: 9623, 30: 10811, 16: 621, 42: 4569, 26: 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9548, 6: 498, 14: 2851, 18: 2245, 40: 3765, 42: 3710, 20: 6930, 26: 8000, 24: 4357, 32: 6825, 12: 1466, 46: 1087, 22: 6770, 16: 1434, 44: 2808, 8: 492, 0: 72, 48: 168}, ("DoubleThreesAndFours", 6, 4): {14: 1534, 38: 10194, 18: 698, 30: 10836, 32: 6720, 42: 4836, 36: 12511, 40: 5366, 26: 4164, 44: 5640, 46: 3626, 34: 7926, 24: 3611, 28: 10039, 20: 3603, 6: 160, 22: 5673, 16: 1101, 48: 992, 8: 255, 12: 491, 0: 24}, ("DoubleThreesAndFours", 6, 5): {40: 7833, 28: 6985, 46: 7219, 36: 12190, 38: 14163, 34: 5449, 32: 7047, 30: 10494, 44: 8161, 24: 3099, 42: 4738, 26: 2099, 22: 3827, 48: 2739, 16: 877, 18: 244, 20: 1755, 14: 771, 0: 8, 12: 144, 8: 113, 6: 45}, ("DoubleThreesAndFours", 6, 6): {38: 16439, 44: 9477, 36: 10342, 40: 10795, 48: 5932, 30: 8697, 42: 4008, 26: 994, 46: 11631, 16: 539, 28: 4300, 22: 2383, 32: 7204, 20: 762, 34: 3427, 24: 2528, 18: 96, 14: 311, 6: 19, 8: 60, 0: 4, 12: 52}, ("DoubleThreesAndFours", 6, 7): {32: 7113, 42: 3210, 44: 9660, 46: 15581, 38: 16374, 48: 10353, 40: 13795, 30: 6708, 36: 8028, 24: 1921, 34: 1922, 20: 355, 28: 2646, 26: 437, 22: 1401, 16: 278, 14: 145, 8: 28, 18: 31, 6: 2, 12: 11, 0: 1}, ("DoubleThreesAndFours", 6, 8): {46: 18638, 30: 4988, 40: 16076, 24: 1352, 38: 15017, 48: 16432, 36: 5846, 32: 6450, 44: 9045, 20: 143, 28: 1404, 42: 2271, 34: 1121, 26: 160, 16: 162, 22: 812, 14: 61, 12: 9, 8: 9, 18: 4}, ("DoubleThreesAndFours", 7, 1): {16: 7739, 6: 10242, 22: 9715, 20: 9418, 14: 15252, 8: 10404, 24: 4020, 12: 7634, 44: 141, 0: 5803, 18: 3195, 30: 3270, 40: 276, 28: 4897, 32: 1409, 34: 1182, 36: 1226, 38: 668, 42: 226, 26: 3173, 46: 71, 48: 17, 50: 16, 54: 1, 52: 5}, ("DoubleThreesAndFours", 7, 2): {20: 8788, 12: 2776, 28: 11132, 44: 2245, 38: 4228, 34: 6959, 42: 2873, 18: 2867, 36: 7000, 32: 5286, 0: 357, 30: 7900, 40: 2927, 26: 7287, 16: 2846, 22: 8736, 46: 1083, 24: 4687, 14: 5631, 6: 1500, 48: 593, 8: 1462, 50: 446, 56: 17, 52: 276, 54: 98}, ("DoubleThreesAndFours", 7, 3): {42: 7821, 36: 10081, 34: 10088, 30: 6641, 38: 7494, 50: 2457, 28: 8269, 26: 5630, 32: 6333, 40: 6987, 52: 1356, 44: 6306, 20: 3613, 16: 593, 24: 2466, 48: 2709, 46: 3838, 18: 1218, 12: 568, 22: 3517, 6: 177, 8: 170, 54: 442, 14: 1144, 0: 14, 56: 68}, ("DoubleThreesAndFours", 7, 4): {46: 7244, 48: 4033, 30: 6379, 44: 10218, 20: 1553, 42: 8597, 28: 5838, 52: 3713, 38: 9398, 50: 3948, 32: 4601, 40: 6630, 36: 10741, 34: 6715, 22: 2413, 24: 1659, 26: 2455, 54: 1886, 16: 409, 12: 175, 56: 464, 14: 499, 18: 333, 8: 51, 6: 43, 0: 5}, ("DoubleThreesAndFours", 7, 5): {44: 11990, 48: 5993, 32: 3707, 36: 8930, 28: 3284, 18: 109, 42: 6888, 50: 4653, 38: 10182, 52: 6259, 46: 11137, 54: 4781, 34: 3996, 56: 1472, 22: 1391, 40: 6767, 26: 963, 24: 1144, 16: 242, 30: 5190, 20: 603, 6: 16, 14: 225, 8: 23, 12: 49, 0: 6}, ("DoubleThreesAndFours", 7, 6): {38: 9755, 52: 8339, 46: 14027, 30: 3572, 36: 6292, 40: 7116, 54: 8347, 50: 4510, 34: 2079, 56: 3697, 42: 5017, 44: 11451, 48: 8688, 28: 1705, 22: 755, 24: 789, 32: 3005, 14: 65, 20: 239, 16: 134, 26: 357, 18: 36, 8: 10, 12: 15}, ("DoubleThreesAndFours", 7, 7): {50: 3831, 46: 15829, 44: 9719, 36: 4015, 38: 8195, 40: 7156, 42: 3220, 30: 2281, 54: 12409, 56: 7255, 32: 2381, 52: 9257, 48: 11561, 26: 133, 22: 341, 34: 923, 28: 853, 24: 452, 20: 81, 16: 60, 18: 9, 14: 27, 12: 5, 8: 5, 6: 2}, ("DoubleThreesAndFours", 7, 8): {56: 12116, 52: 9418, 38: 6452, 48: 14055, 32: 1809, 54: 16183, 30: 1357, 50: 3002, 36: 2363, 46: 15616, 40: 6757, 42: 1859, 44: 7554, 24: 285, 16: 30, 34: 481, 22: 175, 14: 10, 28: 379, 20: 42, 26: 55, 8: 1, 12: 1}, ("DoubleThreesAndFours", 8, 1): {24: 4614, 16: 6920, 34: 2175, 14: 13657, 30: 4504, 0: 3982, 20: 10167, 12: 6731, 22: 10162, 36: 2120, 28: 6414, 32: 2079, 18: 3314, 26: 4302, 6: 7946, 8: 7712, 44: 379, 38: 1218, 40: 633, 42: 533, 50: 59, 48: 108, 46: 204, 56: 7, 52: 39, 60: 1, 54: 15, 58: 5}, ("DoubleThreesAndFours", 8, 2): {30: 7306, 42: 5074, 28: 9769, 44: 4004, 26: 6631, 40: 4617, 12: 1685, 20: 6475, 22: 6445, 50: 1654, 36: 8364, 32: 5644, 16: 1623, 14: 3393, 46: 2396, 6: 749, 34: 8035, 24: 3639, 38: 5473, 54: 537, 18: 2090, 48: 1840, 52: 1069, 8: 735, 58: 188, 62: 29, 56: 294, 0: 161, 60: 80, 64: 1}, ("DoubleThreesAndFours", 8, 3): {44: 8078, 34: 8086, 42: 9356, 36: 8106, 38: 6904, 28: 4918, 40: 7729, 30: 4044, 32: 4752, 46: 5989, 50: 5725, 52: 4060, 48: 6119, 58: 1298, 54: 2440, 24: 1345, 22: 1657, 26: 3379, 20: 1620, 56: 1856, 18: 582, 6: 58, 14: 525, 64: 31, 62: 167, 60: 670, 8: 53, 12: 214, 16: 233, 0: 6}, ("DoubleThreesAndFours", 8, 4): {42: 8437, 48: 6657, 44: 10354, 54: 4862, 36: 7211, 34: 4515, 50: 7755, 52: 7763, 56: 3204, 60: 2271, 30: 3188, 20: 611, 46: 8005, 38: 6651, 32: 2521, 40: 5753, 58: 2769, 22: 950, 24: 729, 26: 1214, 28: 2819, 16: 151, 62: 1044, 14: 161, 18: 137, 64: 176, 12: 56, 8: 22, 0: 1, 6: 13}, ("DoubleThreesAndFours", 8, 5): {52: 10531, 60: 4703, 54: 8556, 40: 4470, 44: 9760, 36: 4863, 18: 29, 42: 5705, 50: 7637, 58: 4174, 48: 6812, 28: 1342, 56: 4701, 46: 9599, 30: 2068, 64: 852, 38: 5795, 62: 3095, 24: 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45131}, ("OneTwoOneConsecutive", 4, 7): {30: 62465, 0: 37535}, ("OneTwoOneConsecutive", 4, 8): {30: 68575, 0: 31425}, ("OneTwoOneConsecutive", 5, 1): {0: 86632, 30: 13368}, ("OneTwoOneConsecutive", 5, 2): {0: 62779, 30: 37221}, ("OneTwoOneConsecutive", 5, 3): {30: 53966, 0: 46034}, ("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, ("OneTwoOneConsecutive", 5, 6): {30: 76850, 0: 23150}, ("OneTwoOneConsecutive", 5, 7): {30: 80423, 0: 19577}, ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, ("OneTwoOneConsecutive", 7, 5): {30: 92280, 0: 7720}, ("OneTwoOneConsecutive", 7, 6): {30: 94446, 0: 5554}, ("OneTwoOneConsecutive", 7, 7): {30: 95894, 0: 4106}, ("OneTwoOneConsecutive", 7, 8): {30: 96975, 0: 3025}, ("OneTwoOneConsecutive", 8, 1): {30: 59307, 0: 40693}, ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, ("OneTwoOneConsecutive", 8, 3): {30: 91805, 0: 8195}, ("OneTwoOneConsecutive", 8, 4): {30: 94617, 0: 5383}, ("OneTwoOneConsecutive", 8, 5): {30: 96605, 0: 3395}, ("OneTwoOneConsecutive", 8, 6): {30: 97701, 0: 2299}, ("OneTwoOneConsecutive", 8, 7): {30: 98588, 0: 1412}, ("OneTwoOneConsecutive", 8, 8): {30: 99128, 0: 872}, ("ThreeDistinctDice", 1, 1): {0: 100000}, ("ThreeDistinctDice", 1, 2): {0: 100000}, ("ThreeDistinctDice", 1, 3): {0: 100000}, ("ThreeDistinctDice", 1, 4): {0: 100000}, ("ThreeDistinctDice", 1, 5): {0: 100000}, ("ThreeDistinctDice", 1, 6): {0: 100000}, ("ThreeDistinctDice", 1, 7): {0: 100000}, ("ThreeDistinctDice", 1, 8): {0: 100000}, ("ThreeDistinctDice", 2, 1): {0: 100000}, ("ThreeDistinctDice", 2, 2): {0: 100000}, ("ThreeDistinctDice", 2, 3): {0: 100000}, ("ThreeDistinctDice", 2, 4): {0: 100000}, ("ThreeDistinctDice", 2, 5): {0: 100000}, ("ThreeDistinctDice", 2, 6): {0: 100000}, ("ThreeDistinctDice", 2, 7): {0: 100000}, ("ThreeDistinctDice", 2, 8): {0: 100000}, ("ThreeDistinctDice", 3, 1): {20: 55293, 0: 44707}, ("ThreeDistinctDice", 3, 2): {0: 15078, 20: 84922}, ("ThreeDistinctDice", 3, 3): {20: 94944, 0: 5056}, ("ThreeDistinctDice", 3, 4): {0: 1688, 20: 98312}, ("ThreeDistinctDice", 3, 5): {20: 99484, 0: 516}, ("ThreeDistinctDice", 3, 6): {20: 99818, 0: 182}, ("ThreeDistinctDice", 3, 7): {20: 99944, 0: 56}, ("ThreeDistinctDice", 3, 8): {20: 99985, 0: 15}, ("ThreeDistinctDice", 4, 1): {20: 83279, 0: 16721}, ("ThreeDistinctDice", 4, 2): {20: 98174, 0: 1826}, ("ThreeDistinctDice", 4, 3): {20: 99797, 0: 203}, ("ThreeDistinctDice", 4, 4): {20: 99982, 0: 18}, ("ThreeDistinctDice", 4, 5): {20: 99997, 0: 3}, ("ThreeDistinctDice", 4, 6): {20: 100000}, ("ThreeDistinctDice", 4, 7): {20: 100000}, ("ThreeDistinctDice", 4, 8): {20: 100000}, ("ThreeDistinctDice", 5, 1): {0: 5904, 20: 94096}, ("ThreeDistinctDice", 5, 2): {20: 99764, 0: 236}, ("ThreeDistinctDice", 5, 3): {20: 99988, 0: 12}, ("ThreeDistinctDice", 5, 4): {20: 100000}, ("ThreeDistinctDice", 5, 5): {20: 100000}, ("ThreeDistinctDice", 5, 6): {20: 100000}, ("ThreeDistinctDice", 5, 7): {20: 100000}, ("ThreeDistinctDice", 5, 8): {20: 100000}, ("ThreeDistinctDice", 6, 1): {20: 98008, 0: 1992}, ("ThreeDistinctDice", 6, 2): {20: 99979, 0: 21}, ("ThreeDistinctDice", 6, 3): {20: 100000}, ("ThreeDistinctDice", 6, 4): {20: 100000}, ("ThreeDistinctDice", 6, 5): {20: 100000}, ("ThreeDistinctDice", 6, 6): {20: 100000}, ("ThreeDistinctDice", 6, 7): {20: 100000}, ("ThreeDistinctDice", 6, 8): {20: 100000}, ("ThreeDistinctDice", 7, 1): {20: 99308, 0: 692}, ("ThreeDistinctDice", 7, 2): {20: 99996, 0: 4}, ("ThreeDistinctDice", 7, 3): {20: 100000}, ("ThreeDistinctDice", 7, 4): {20: 100000}, ("ThreeDistinctDice", 7, 5): {20: 100000}, ("ThreeDistinctDice", 7, 6): {20: 100000}, ("ThreeDistinctDice", 7, 7): {20: 100000}, ("ThreeDistinctDice", 7, 8): {20: 100000}, ("ThreeDistinctDice", 8, 1): {20: 99757, 0: 243}, ("ThreeDistinctDice", 8, 2): {20: 99999, 0: 1}, ("ThreeDistinctDice", 8, 3): {20: 100000}, ("ThreeDistinctDice", 8, 4): {20: 100000}, ("ThreeDistinctDice", 8, 5): {20: 100000}, ("ThreeDistinctDice", 8, 6): {20: 100000}, ("ThreeDistinctDice", 8, 7): {20: 100000}, ("ThreeDistinctDice", 8, 8): {20: 100000}, ("TwoPair", 1, 1): {0: 100000}, ("TwoPair", 1, 2): {0: 100000}, ("TwoPair", 1, 3): {0: 100000}, ("TwoPair", 1, 4): {0: 100000}, ("TwoPair", 1, 5): {0: 100000}, ("TwoPair", 1, 6): {0: 100000}, ("TwoPair", 1, 7): {0: 100000}, ("TwoPair", 1, 8): {0: 100000}, ("TwoPair", 2, 1): {0: 100000}, ("TwoPair", 2, 2): {0: 100000}, ("TwoPair", 2, 3): {0: 100000}, ("TwoPair", 2, 4): {0: 100000}, ("TwoPair", 2, 5): {0: 100000}, ("TwoPair", 2, 6): {0: 100000}, ("TwoPair", 2, 7): {0: 100000}, ("TwoPair", 2, 8): {0: 100000}, ("TwoPair", 3, 1): {0: 100000}, ("TwoPair", 3, 2): {0: 100000}, ("TwoPair", 3, 3): {0: 100000}, ("TwoPair", 3, 4): {0: 100000}, ("TwoPair", 3, 5): {0: 100000}, ("TwoPair", 3, 6): {0: 100000}, ("TwoPair", 3, 7): {0: 100000}, ("TwoPair", 3, 8): {0: 100000}, ("TwoPair", 4, 1): {0: 93065, 30: 6935}, ("TwoPair", 4, 2): {0: 82102, 30: 17898}, ("TwoPair", 4, 3): {0: 71209, 30: 28791}, ("TwoPair", 4, 4): {0: 61609, 30: 38391}, ("TwoPair", 4, 5): {30: 46964, 0: 53036}, ("TwoPair", 4, 6): {0: 45705, 30: 54295}, ("TwoPair", 4, 7): {0: 39398, 30: 60602}, ("TwoPair", 4, 8): {30: 66327, 0: 33673}, ("TwoPair", 5, 1): {30: 27153, 0: 72847}, ("TwoPair", 5, 2): {30: 53241, 0: 46759}, ("TwoPair", 5, 3): {30: 70538, 0: 29462}, ("TwoPair", 5, 4): {30: 81649, 0: 18351}, ("TwoPair", 5, 5): {30: 88207, 0: 11793}, ("TwoPair", 5, 6): {30: 92615, 0: 7385}, ("TwoPair", 5, 7): {30: 95390, 0: 4610}, ("TwoPair", 5, 8): {30: 97062, 0: 2938}, ("TwoPair", 6, 1): {30: 55569, 0: 44431}, ("TwoPair", 6, 2): {30: 82817, 0: 17183}, ("TwoPair", 6, 3): {30: 93241, 0: 6759}, ("TwoPair", 6, 4): {30: 97438, 0: 2562}, ("TwoPair", 6, 5): {30: 99052, 0: 948}, ("TwoPair", 6, 6): {30: 99625, 0: 375}, ("TwoPair", 6, 7): {30: 99862, 0: 138}, ("TwoPair", 6, 8): {30: 99943, 0: 57}, ("TwoPair", 7, 1): {0: 19888, 30: 80112}, ("TwoPair", 7, 2): {30: 96065, 0: 3935}, ("TwoPair", 7, 3): {30: 99199, 0: 801}, ("TwoPair", 7, 4): {30: 99825, 0: 175}, ("TwoPair", 7, 5): {30: 99969, 0: 31}, ("TwoPair", 7, 6): {30: 99993, 0: 7}, ("TwoPair", 7, 7): {30: 99998, 0: 2}, ("TwoPair", 7, 8): {30: 100000}, ("TwoPair", 8, 1): {30: 93209, 0: 6791}, ("TwoPair", 8, 2): {30: 99412, 0: 588}, ("TwoPair", 8, 3): {30: 99939, 0: 61}, ("TwoPair", 8, 4): {30: 99994, 0: 6}, ("TwoPair", 8, 5): {30: 100000}, ("TwoPair", 8, 6): {30: 100000}, ("TwoPair", 8, 7): {30: 100000}, ("TwoPair", 8, 8): {30: 100000}, ("TwoOneTwoConsecutive", 1, 1): {0: 100000}, ("TwoOneTwoConsecutive", 1, 2): {0: 100000}, ("TwoOneTwoConsecutive", 1, 3): {0: 100000}, ("TwoOneTwoConsecutive", 1, 4): {0: 100000}, ("TwoOneTwoConsecutive", 1, 5): {0: 100000}, ("TwoOneTwoConsecutive", 1, 6): {0: 100000}, ("TwoOneTwoConsecutive", 1, 7): {0: 100000}, ("TwoOneTwoConsecutive", 1, 8): {0: 100000}, ("TwoOneTwoConsecutive", 2, 1): {0: 100000}, ("TwoOneTwoConsecutive", 2, 2): {0: 100000}, ("TwoOneTwoConsecutive", 2, 3): {0: 100000}, ("TwoOneTwoConsecutive", 2, 4): {0: 100000}, ("TwoOneTwoConsecutive", 2, 5): {0: 100000}, ("TwoOneTwoConsecutive", 2, 6): {0: 100000}, ("TwoOneTwoConsecutive", 2, 7): {0: 100000}, ("TwoOneTwoConsecutive", 2, 8): {0: 100000}, ("TwoOneTwoConsecutive", 3, 1): {0: 100000}, ("TwoOneTwoConsecutive", 3, 2): {0: 100000}, ("TwoOneTwoConsecutive", 3, 3): {0: 100000}, ("TwoOneTwoConsecutive", 3, 4): {0: 100000}, ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, ("FiveDistinctDice", 1, 1): {0: 100000}, ("FiveDistinctDice", 1, 2): {0: 100000}, ("FiveDistinctDice", 1, 3): {0: 100000}, ("FiveDistinctDice", 1, 4): {0: 100000}, ("FiveDistinctDice", 1, 5): {0: 100000}, ("FiveDistinctDice", 1, 6): {0: 100000}, ("FiveDistinctDice", 1, 7): {0: 100000}, ("FiveDistinctDice", 1, 8): {0: 100000}, ("FiveDistinctDice", 2, 1): {0: 100000}, ("FiveDistinctDice", 2, 2): {0: 100000}, ("FiveDistinctDice", 2, 3): {0: 100000}, ("FiveDistinctDice", 2, 4): {0: 100000}, ("FiveDistinctDice", 2, 5): {0: 100000}, ("FiveDistinctDice", 2, 6): {0: 100000}, ("FiveDistinctDice", 2, 7): {0: 100000}, ("FiveDistinctDice", 2, 8): {0: 100000}, ("FiveDistinctDice", 3, 1): {0: 100000}, ("FiveDistinctDice", 3, 2): {0: 100000}, ("FiveDistinctDice", 3, 3): {0: 100000}, ("FiveDistinctDice", 3, 4): {0: 100000}, ("FiveDistinctDice", 3, 5): {0: 100000}, ("FiveDistinctDice", 3, 6): {0: 100000}, ("FiveDistinctDice", 3, 7): {0: 100000}, ("FiveDistinctDice", 3, 8): {0: 100000}, ("FiveDistinctDice", 4, 1): {0: 100000}, ("FiveDistinctDice", 4, 2): {0: 100000}, ("FiveDistinctDice", 4, 3): {0: 100000}, ("FiveDistinctDice", 4, 4): {0: 100000}, ("FiveDistinctDice", 4, 5): {0: 100000}, ("FiveDistinctDice", 4, 6): {0: 100000}, ("FiveDistinctDice", 4, 7): {0: 100000}, ("FiveDistinctDice", 4, 8): {0: 100000}, ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, ("FourAndFiveFullHouse", 1, 1): {0: 100000}, ("FourAndFiveFullHouse", 1, 2): {0: 100000}, ("FourAndFiveFullHouse", 1, 3): {0: 100000}, ("FourAndFiveFullHouse", 1, 4): {0: 100000}, ("FourAndFiveFullHouse", 1, 5): {0: 100000}, ("FourAndFiveFullHouse", 1, 6): {0: 100000}, ("FourAndFiveFullHouse", 1, 7): {0: 100000}, ("FourAndFiveFullHouse", 1, 8): {0: 100000}, ("FourAndFiveFullHouse", 2, 1): {0: 100000}, ("FourAndFiveFullHouse", 2, 2): {0: 100000}, ("FourAndFiveFullHouse", 2, 3): {0: 100000}, ("FourAndFiveFullHouse", 2, 4): {0: 100000}, ("FourAndFiveFullHouse", 2, 5): {0: 100000}, ("FourAndFiveFullHouse", 2, 6): {0: 100000}, ("FourAndFiveFullHouse", 2, 7): {0: 100000}, ("FourAndFiveFullHouse", 2, 8): {0: 100000}, ("FourAndFiveFullHouse", 3, 1): {0: 100000}, ("FourAndFiveFullHouse", 3, 2): {0: 100000}, ("FourAndFiveFullHouse", 3, 3): {0: 100000}, ("FourAndFiveFullHouse", 3, 4): {0: 100000}, ("FourAndFiveFullHouse", 3, 5): {0: 100000}, ("FourAndFiveFullHouse", 3, 6): {0: 100000}, ("FourAndFiveFullHouse", 3, 7): {0: 100000}, ("FourAndFiveFullHouse", 3, 8): {0: 100000}, ("FourAndFiveFullHouse", 4, 1): {0: 100000}, ("FourAndFiveFullHouse", 4, 2): {0: 100000}, ("FourAndFiveFullHouse", 4, 3): {0: 100000}, ("FourAndFiveFullHouse", 4, 4): {0: 100000}, ("FourAndFiveFullHouse", 4, 5): {0: 100000}, ("FourAndFiveFullHouse", 4, 6): {0: 100000}, ("FourAndFiveFullHouse", 4, 7): {0: 100000}, ("FourAndFiveFullHouse", 4, 8): {0: 100000}, ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index dfae9033a4f9..1406dbf7ef24 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -56,17 +56,17 @@ def generate_early(self): self.itempool = [] self.precollected = [] - #number of dice and rolls in the pull + # number of dice and rolls in the pull ind_dice_rolls = self.options.minimal_number_of_dice_and_rolls.value num_of_dice = [0, 2, 5, 5, 6, 7, 8][ind_dice_rolls] num_of_rolls = [0, 2, 3, 5, 4, 3, 2][ind_dice_rolls] - #amount of dice and roll fragments needed to get a dice or roll + # amount of dice and roll fragments needed to get a dice or roll frags_per_dice = self.options.number_of_dice_fragments_per_dice.value frags_per_roll = self.options.number_of_roll_fragments_per_roll.value - #count number of plando items not from pool, we need extra locations for them + # count number of plando items not from pool, we need extra locations for them self.extra_plando_items = 0 for plando_setting in self.multiworld.plando_items[self.player]: @@ -80,9 +80,9 @@ def generate_early(self): # Shuffle the list to randomize the order self.multiworld.random.shuffle(categorylist) - #A list of all possible categories. - #Every entry in the list has two categories, one 'default' category and one 'alt'. - #You get either of the two for every entry, so a total of 16 unique categories. + # A list of all possible categories. + # Every entry in the list has two categories, one 'default' category and one 'alt'. + # You get either of the two for every entry, so a total of 16 unique categories. all_categories = [ ["Category Choice", "Category Double Threes and Fours"], ["Category Inverse Choice", "Category Quadruple Ones and Twos"], @@ -102,7 +102,7 @@ def generate_early(self): ["Category Yacht", "Category 4&5 Full House"] ] - #categories used in this game. + # categories used in this game. possible_categories = [] for index, cats in enumerate(all_categories): @@ -118,37 +118,37 @@ def generate_early(self): self.precollected += ["Roll"] self.precollected += ["Dice"] - #if one fragment per dice, just add "Dice" objects + # if one fragment per dice, just add "Dice" objects if frags_per_dice == 1: self.itempool += ["Dice"] * (num_of_dice-1) # minus one because one is in start inventory else: - self.itempool += ["Dice"] #always add a full dice to make generation easier (will be early) + self.itempool += ["Dice"] # always add a full dice to make generation easier (will be early) self.itempool += ["Dice Fragment"] * (frags_per_dice * (num_of_dice-2)) - #if one fragment per roll, just add "Roll" objects + # if one fragment per roll, just add "Roll" objects if frags_per_roll == 1: - self.itempool += ["Roll"] * (num_of_rolls-1) #minus one because one is in start inventory + self.itempool += ["Roll"] * (num_of_rolls-1) # minus one because one is in start inventory else: - self.itempool += ["Roll"] #always add a full roll to make generation easier (will be early) + self.itempool += ["Roll"] # always add a full roll to make generation easier (will be early) self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls-2)) already_items = len(self.itempool) + self.extra_plando_items - #Yacht Dice needs extra filler items so it doesn't get stuck in generation. - #For now, we calculate the number of extra items we'll need later. + # Yacht Dice needs extra filler items so it doesn't get stuck in generation. + # For now, we calculate the number of extra items we'll need later. if self.options.minimize_extra_items.value: extraPercentage = max(0.1, 0.8 - self.multiworld.players / 10) else: extraPercentage = 0.7 extra_locations_needed = max(10, math.ceil(already_items * extraPercentage)) - #max score is the value of the last check. Goal score is the score needed to 'finish' the game + # max score is the value of the last check. Goal score is the score needed to 'finish' the game self.max_score = self.options.score_for_last_check.value self.goal_score = min(self.max_score, self.options.score_for_goal.value) - #Yacht Dice adds items into the pool until a score of at least 1000 is reached. - #the yaml contains weights, which determine how likely it is that specific items get added. - #If all weights are 0, some of them will be made to be non-zero later. + # Yacht Dice adds items into the pool until a score of at least 1000 is reached. + # the yaml contains weights, which determine how likely it is that specific items get added. + # If all weights are 0, some of them will be made to be non-zero later. weights = [ self.options.weight_of_dice.value, self.options.weight_of_roll.value, @@ -158,39 +158,39 @@ def generate_early(self): self.options.weight_of_points.value ] - #if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice + # if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice if weights[0] > 0 and frags_per_dice > 1: self.itempool += ["Dice Fragment"] * (frags_per_dice - 1) if weights[1] > 0 and frags_per_roll > 1: self.itempool += ["Roll Fragment"] * (frags_per_roll - 1) - #calibrate the weights, since the impact of each of the items is different + # calibrate the weights, since the impact of each of the items is different weights[0] = weights[0] / 5 * frags_per_dice weights[1] = weights[1] / 5 * frags_per_roll extra_points_added = 0 multipliers_added = 0 - #Keep adding items until a score of 1000 is in logic + # Keep adding items until a score of 1000 is in logic while dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: all_items = self.itempool + self.precollected dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: - weights[0] = 0 #don't allow >=9 dice + weights[0] = 0 # don't allow >=9 dice roll_fragments_in_pool = all_items.count("Roll") * frags_per_roll + all_items.count("Roll Fragment") if roll_fragments_in_pool + 1 >= 6 * frags_per_roll: - weights[1] = 0 # don't allow >= 6 rolls + weights[1] = 0 # don't allow >= 6 rolls - #Don't allow too many multipliers + # Don't allow too many multipliers if multipliers_added > 50: weights[2] = 0 weights[3] = 0 - #Don't allow too many extra points + # Don't allow too many extra points if extra_points_added > 300: weights[5] = 0 - #if all weights are zero, allow to add fixed score multiplier, double category, points. + # if all weights are zero, allow to add fixed score multiplier, double category, points. if sum(weights) == 0: if multipliers_added <= 50: weights[2] = 1 @@ -198,7 +198,7 @@ def generate_early(self): if extra_points_added <= 300: weights[5] = 1 - #Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item + # Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item which_item_to_add = self.multiworld.random.choices([0, 1, 2, 3, 4, 5], weights = weights)[0] if which_item_to_add == 0: if frags_per_dice == 1: @@ -226,16 +226,16 @@ def generate_early(self): weights[4] /= 1.1 elif which_item_to_add == 5: score_dist = self.options.points_size.value - probs = [1,0,0] + probs = [1, 0, 0] if score_dist == 1: - probs = [0.9,0.08,0] + probs = [0.9, 0.08, 0] if score_dist == 2: - probs = [0,1,0] + probs = [0, 1, 0] if score_dist == 3: - probs = [0,0.3,0.7] + probs = [0, 0.3, 0.7] if score_dist == 4: - probs = [0.3,0.4,0.3] - c = self.multiworld.random.choices([0,1,2], weights = probs)[0] + probs = [0.3, 0.4, 0.3] + c = self.multiworld.random.choices([0, 1, 2], weights = probs)[0] if c == 0: self.itempool += ["1 Point"] extra_points_added += 1 @@ -253,56 +253,56 @@ def generate_early(self): else: raise Exception("Invalid index when adding new items in Yacht Dice") - #count the number of locations in the game. - already_items = len(self.itempool) + self.extra_plando_items + 1 #+1 because of Victory item + # count the number of locations in the game. + already_items = len(self.itempool) + self.extra_plando_items + 1 # +1 because of Victory item - #We need to add more filler/useful items if there are many items in the pool to guarantee successful generation + # We need to add more filler/useful items if there are many items in the pool to guarantee successful generation extra_locations_needed += (already_items - 45) // 15 self.number_of_locations = already_items + extra_locations_needed # From here, we will count the number of items in the self.itempool, and add useful/filler items to the pool, # making sure not to exceed the number of locations. - #first, we flood the entire pool with extra points (useful), if that setting is chosen. + # first, we flood the entire pool with extra points (useful), if that setting is chosen. if self.options.add_bonus_points.value == 1: #all of the extra points already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 100) - #second, we flood the entire pool with story chapters (filler), if that setting is chosen. - if self.options.add_story_chapters.value == 1: #all of the story chapters + # second, we flood the entire pool with story chapters (filler), if that setting is chosen. + if self.options.add_story_chapters.value == 1: # all of the story chapters already_items = len(self.itempool) + self.extra_plando_items + 1 number_of_items = min(self.number_of_locations - already_items, 100) - number_of_items = (number_of_items // 10) * 10 #story chapters always come in multiples of 10 + number_of_items = (number_of_items // 10) * 10 # story chapters always come in multiples of 10 self.itempool += ["Story Chapter"] * number_of_items - #add some extra points (useful) - if self.options.add_bonus_points.value == 2: #add extra points if wanted + # add some extra points (useful) + if self.options.add_bonus_points.value == 2: # add extra points if wanted already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) - #add some story chapters (filler) - if self.options.add_story_chapters.value == 2: #add extra points if wanted + # add some story chapters (filler) + if self.options.add_story_chapters.value == 2: # add extra points if wanted already_items = len(self.itempool) + self.extra_plando_items + 1 if self.number_of_locations - already_items >= 10: self.itempool += ["Story Chapter"] * 10 - #add some more extra points if there is still room + # add some more extra points if there is still room if self.options.add_bonus_points.value == 2: already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) - #add some encouragements filler-items if there is still room + # add some encouragements filler-items if there is still room already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Encouragement"] * min(self.number_of_locations - already_items, 5) - #add some fun facts filler-items if there is still room + # add some fun facts filler-items if there is still room already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) - #finally, add some "Good RNG" and "Bad RNG" items to complete the item pool - #these items are filler and do not do anything. + # finally, add some "Good RNG" and "Bad RNG" items to complete the item pool + # these items are filler and do not do anything. - #probability of Good and Bad rng, based on difficulty for fun :) + # probability of Good and Bad rng, based on difficulty for fun :) p = 1.1 - 0.25 * self.options.game_difficulty.value already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += self.multiworld.random.choices( @@ -311,17 +311,17 @@ def generate_early(self): k=self.number_of_locations - already_items ) - #we are done adding items. Now because of the last step, number of items should be number of locations + # we are done adding items. Now because of the last step, number of items should be number of locations already_items = len(self.itempool) + self.extra_plando_items + 1 if already_items != self.number_of_locations: raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " f"{already_items} {self.number_of_locations}.") - #add precollected items using push_precollected. Items in self.itempool get created in create_items + # add precollected items using push_precollected. Items in self.itempool get created in create_items for item in self.precollected: self.multiworld.push_precollected(self.create_item(item)) - #make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon + # make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon self.multiworld.early_items[self.player]["Dice"] = 1 self.multiworld.early_items[self.player]["Roll"] = 1 @@ -329,41 +329,41 @@ def create_items(self): self.multiworld.itempool += [self.create_item(name) for name in self.itempool] def create_regions(self): - #call the ini_locations function, that generates locations based on the inputs. + # call the ini_locations function, that generates locations based on the inputs. location_table, goal_index = ini_locations(self.goal_score, self.max_score, self.number_of_locations, self.options.game_difficulty.value) - #simple menu-board construction + # simple menu-board construction menu = Region("Menu", self.player, self.multiworld) board = Region("Board", self.player, self.multiworld) - #add locations to board, one for every location in the location_table + # add locations to board, one for every location in the location_table board.locations = [YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) for loc_name, loc_data in location_table.items() if loc_data.region == board.name] - #which index of all locations should have the Victory item. + # which index of all locations should have the Victory item. # Add the victory item to the correct location. # The website declares that the game is complete when the victory item is obtained. board.locations[goal_index].place_locked_item(self.create_item("Victory")) - #these will be slot_data input + # these will be slot_data input self.goal_score = board.locations[goal_index].yacht_dice_score self.max_score = board.locations[-1].yacht_dice_score - #add the regions + # add the regions connection = Entrance(self.player, "New Board", menu) menu.exits.append(connection) connection.connect(board) self.multiworld.regions += [menu, board] def set_rules(self): - #set rules per location, and add the rule for beating the game + # set rules per location, and add the rule for beating the game set_yacht_rules(self.multiworld, self.player, self.options) set_yacht_completion_rules(self.multiworld, self.player) def fill_slot_data(self): - #make slot data, which consists of yachtdice_data, options, and some other variables. + # make slot data, which consists of yachtdice_data, options, and some other variables. yacht_dice_data = self._get_yachtdice_data() yacht_dice_options = self.options.as_dict( "game_difficulty", @@ -386,7 +386,7 @@ def fill_slot_data(self): "which_story", "allow_manual_input" ) - slot_data = {**yacht_dice_data, **yacht_dice_options} #combine the two + slot_data = {**yacht_dice_data, **yacht_dice_options} # combine the two slot_data["goal_score"] = self.goal_score slot_data["last_check_score"] = self.max_score slot_data["ap_world_version"] = self.ap_world_version @@ -397,6 +397,7 @@ def create_item(self, name: str) -> Item: item = YachtDiceItem(name, item_data.classification, item_data.code, self.player) return item + # We overwrite these function to monitor when states have changed. See also dice_simulation in Rules.py def collect(self, state: CollectionState, item: Item) -> bool: change = super().collect(state, item) if change: From 17402a5740c21f3237c4cd7d45af070d15a8f075 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 23:22:25 +0200 Subject: [PATCH 051/127] finished text whichstory option --- worlds/yachtdice/Options.py | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index b2869023100a..b8250a45ef54 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -226,9 +226,8 @@ class AddStoryChapters(Choice): class WhichStory(Choice): """ The most important part of Yacht Dice is the narrative. - If you choose to - 10 story chapters are shuffled into the item pool. - You can read them in the feed on the website. + Of course you will need to add story chapters to the item pool. + You can read story chapters in the feed on the website. Which story would you like to read? """ display_name = "Story" From 526733dd3df9df5f2b388633e52cc099eb148e79 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 23:25:48 +0200 Subject: [PATCH 052/127] removed roll and rollfragments; not used --- worlds/yachtdice/Rules.py | 4 ---- 1 file changed, 4 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 1a020e028521..639b95898e86 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -78,8 +78,6 @@ def extract_progression(state, player, options): state.count("Roll") + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value ) - roll = state.count("Roll") - rollfragments = state.count("Roll Fragment") number_of_fixed_mults = state.count("Fixed Score Multiplier") number_of_step_mults = state.count("Step Score Multiplier") categories = [] @@ -98,8 +96,6 @@ def extract_progression(state, player, options): state.count("Roll", player) + state.count("Roll Fragment", player) // options.number_of_roll_fragments_per_roll.value ) - roll = state.count("Roll", player) - rollfragments = state.count("Roll Fragment", player) number_of_fixed_mults = state.count("Fixed Score Multiplier", player) number_of_step_mults = state.count("Step Score Multiplier", player) categories = [] From 25df8e524870c082c17bad4c0ccd1ca48d621548 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 7 Jun 2024 23:29:47 +0200 Subject: [PATCH 053/127] import; worlds not world :) --- worlds/yachtdice/__init__.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 1406dbf7ef24..d700dcf9795b 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -5,7 +5,7 @@ from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions from .Rules import set_yacht_rules, set_yacht_completion_rules, dice_simulation -from world.AutoWorld import World, WebWorld +from worlds.AutoWorld import World, WebWorld class YachtDiceWeb(WebWorld): From 6250923f5e6b79c12951ef254bfc9bfde2f9b5f4 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 00:42:45 +0200 Subject: [PATCH 054/127] Option groups! --- worlds/yachtdice/Options.py | 16 +++++++++++++--- worlds/yachtdice/__init__.py | 4 +++- 2 files changed, 16 insertions(+), 4 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index b8250a45ef54..7e95c4823559 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -1,4 +1,4 @@ -from Options import Choice, Range, PerGameCommonOptions +from Options import Choice, Range, PerGameCommonOptions, OptionGroup from dataclasses import dataclass class GameDifficulty(Choice): @@ -266,6 +266,8 @@ class YachtDiceOptions(PerGameCommonOptions): alternative_categories: AlternativeCategories + allow_manual_input: AllowManual + #the following options determine what extra items are shuffled into the pool: weight_of_dice: ChanceOfDice weight_of_roll: ChanceOfRoll @@ -279,6 +281,14 @@ class YachtDiceOptions(PerGameCommonOptions): add_bonus_points: AddExtraPoints add_story_chapters: AddStoryChapters which_story: WhichStory + +yd_option_groups = [ + OptionGroup("Extra progression items", [ + ChanceOfDice, ChanceOfRoll, ChanceOfFixedScoreMultiplier, ChanceOfStepScoreMultiplier, + ChanceOfDoubleCategory, ChanceOfPoints, PointsSize + ]), - allow_manual_input: AllowManual - \ No newline at end of file + OptionGroup("Other items", [ + MinimizeExtraItems, AddExtraPoints, AddStoryChapters, WhichStory + ]) +] diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index d700dcf9795b..2728cd3a2dad 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -3,7 +3,7 @@ from BaseClasses import Region, Entrance, Item, Tutorial, CollectionState from .Items import YachtDiceItem, item_table, item_groups from .Locations import YachtDiceLocation, all_locations, ini_locations -from .Options import YachtDiceOptions +from .Options import YachtDiceOptions, yd_option_groups from .Rules import set_yacht_rules, set_yacht_completion_rules, dice_simulation from worlds.AutoWorld import World, WebWorld @@ -18,6 +18,8 @@ class YachtDiceWeb(WebWorld): "setup/en", ["Spineraks"] )] + + option_groups = yd_option_groups class YachtDiceWorld(World): From da820cc165b9805f44cfc8f06634078ac1a07361 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 00:51:04 +0200 Subject: [PATCH 055/127] ruff styling, fix --- worlds/yachtdice/Items.py | 24 ++--- worlds/yachtdice/Locations.py | 29 +++--- worlds/yachtdice/Options.py | 37 ++++---- worlds/yachtdice/Rules.py | 93 ++++++++++--------- worlds/yachtdice/YachtWeights.py | 4 +- worlds/yachtdice/__init__.py | 148 ++++++++++++++++--------------- worlds/yachtdice/ruff.toml | 12 +++ 7 files changed, 191 insertions(+), 156 deletions(-) create mode 100644 worlds/yachtdice/ruff.toml diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 8b6c0fcd6e19..84ac5456d400 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -1,24 +1,28 @@ -from BaseClasses import Item, ItemClassification import typing +from BaseClasses import Item, ItemClassification + + class ItemData(typing.NamedTuple): code: typing.Optional[int] classification: ItemClassification + class YachtDiceItem(Item): game: str = "Yacht Dice" # the starting index is chosen semi-randomly to be 16871244000 + item_table = { # victory item, always placed manually at goal location - "Victory": ItemData(16871244000-1, ItemClassification.progression), + "Victory": ItemData(16871244000 - 1, ItemClassification.progression), "Dice": ItemData(16871244000, ItemClassification.progression), "Dice Fragment": ItemData(16871244001, ItemClassification.progression), "Roll": ItemData(16871244002, ItemClassification.progression), "Roll Fragment": ItemData(16871244003, ItemClassification.progression), - + "Fixed Score Multiplier": ItemData(16871244005, ItemClassification.progression), "Step Score Multiplier": ItemData(16871244006, ItemClassification.progression), @@ -38,7 +42,7 @@ class YachtDiceItem(Item): "Category Large Straight": ItemData(16871244116, ItemClassification.progression), "Category Full House": ItemData(16871244117, ItemClassification.progression), "Category Yacht": ItemData(16871244118, ItemClassification.progression), - + "Category Distincts": ItemData(16871244123, ItemClassification.progression), "Category Two times Ones": ItemData(16871244124, ItemClassification.progression), "Category Half of Sixes": ItemData(16871244125, ItemClassification.progression), @@ -55,7 +59,7 @@ class YachtDiceItem(Item): "Category 2-1-2 Consecutive": ItemData(16871244136, ItemClassification.progression), "Category Five Distinct Dice": ItemData(16871244137, ItemClassification.progression), "Category 4&5 Full House": ItemData(16871244138, ItemClassification.progression), - + # filler items "Encouragement": ItemData(16871244200, ItemClassification.filler), "Fun Fact": ItemData(16871244201, ItemClassification.filler), @@ -63,7 +67,7 @@ class YachtDiceItem(Item): "Good RNG": ItemData(16871244203, ItemClassification.filler), "Bad RNG": ItemData(16871244204, ItemClassification.trap), "Bonus Point": ItemData(16871244205, ItemClassification.useful), # not included in logic - + # These points are included in the logic and might be necessary to progress. "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), "10 Points": ItemData(16871244302, ItemClassification.progression), @@ -77,10 +81,10 @@ class YachtDiceItem(Item): "Fixed Score Multiplier" }, "Categories": { - "Category Ones", - "Category Twos", - "Category Threes", - "Category Fours", + "Category Ones", + "Category Twos", + "Category Threes", + "Category Fours", "Category Fives", "Category Sixes", "Category Choice", diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index bd685360dd92..8c5bc1a56696 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -1,11 +1,14 @@ -from BaseClasses import Location import typing +from BaseClasses import Location + + class LocData(typing.NamedTuple): id: int region: str score: int + class YachtDiceLocation(Location): game: str = "Yacht Dice" @@ -13,23 +16,26 @@ def __init__(self, player: int, name: str, score: int, address: typing.Optional[ super().__init__(player, name, address, parent) self.yacht_dice_score = score + all_locations = {} starting_index = 16871244500 # 500 more than the starting index for items + # Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 def all_locations_fun(max_score): location_table = {} - for i in range(max_score+1): - location_table[f"{i} score"] = LocData(starting_index+i, "Board", i) + for i in range(max_score + 1): + location_table[f"{i} score"] = LocData(starting_index + i, "Board", i) return location_table + # function that loads in all locations necessary for the game, so based on options. # will make sure that goal_score and max_score are included locations -def ini_locations(goal_score, max_score, num_locs, dif): +def ini_locations(goal_score, max_score, num_locs, dif): scaling = 2 # parameter that determines how many low-score location there are. # need more low-score locations or lower difficulties: if dif == 1: - scaling = 3 + scaling = 3 elif dif == 2: scaling = 2.3 @@ -41,26 +47,27 @@ def ini_locations(goal_score, max_score, num_locs, dif): # note that curscore is at most max_score-1 hiscore = 0 for i in range(num_locs - 1): - perc = (i/num_locs) - curscore = int(1 + (perc ** scaling) * (max_score-2)) + perc = (i / num_locs) + curscore = int(1 + (perc ** scaling) * (max_score - 2)) if curscore <= hiscore: curscore = hiscore + 1 hiscore = curscore scores += [curscore] - + if goal_score != max_score: # if the goal score is not in the list, find the closest one and make it the goal. if goal_score not in scores: closest_num = min(scores, key=lambda x: abs(x - 500)) scores[scores.index(closest_num)] = goal_score - + scores += [max_score] - + location_table = {f"{score} score": LocData(starting_index + score, "Board", score) for score in scores} return location_table, scores.index(goal_score) + lookup_id_to_name: typing.Dict[int, str] = {data.id: item_name for item_name, data in all_locations.items() if data.id} # we need to run this function to initialize all scores from 1 to 1000, even though not all are used -all_locations = all_locations_fun(1000) +all_locations = all_locations_fun(1000) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 7e95c4823559..dae182ef2112 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -1,6 +1,8 @@ -from Options import Choice, Range, PerGameCommonOptions, OptionGroup from dataclasses import dataclass +from Options import Choice, OptionGroup, PerGameCommonOptions, Range + + class GameDifficulty(Choice): """ Difficulty. This option determines how difficult the scores are to achieve. @@ -16,7 +18,7 @@ class GameDifficulty(Choice): option_extreme = 4 default = 2 - + class ScoreForLastCheck(Range): """ The items in the item pool will always allow you to reach a score of 1000. @@ -28,7 +30,7 @@ class ScoreForLastCheck(Range): range_end = 1000 default = 1000 - + class ScoreForGoal(Range): """ This option determines what score you need to reach to finish the game. @@ -93,7 +95,7 @@ class AlternativeCategories(Range): display_name = "Number of alternative categories" range_start = 0 range_end = 16 - default = 0 + default = 0 class ChanceOfDice(Range): @@ -107,7 +109,7 @@ class ChanceOfDice(Range): display_name = "Weight of adding Dice" range_start = 0 range_end = 100 - default = 5 + default = 5 class ChanceOfRoll(Range): @@ -117,7 +119,7 @@ class ChanceOfRoll(Range): display_name = "Weight of adding Roll" range_start = 0 range_end = 100 - default = 20 + default = 20 class ChanceOfFixedScoreMultiplier(Range): @@ -127,7 +129,7 @@ class ChanceOfFixedScoreMultiplier(Range): display_name = "Weight of adding Fixed Score Multiplier" range_start = 0 range_end = 100 - default = 30 + default = 30 class ChanceOfStepScoreMultiplier(Range): @@ -139,7 +141,7 @@ class ChanceOfStepScoreMultiplier(Range): display_name = "Weight of adding Step Score Multiplier" range_start = 0 range_end = 100 - default = 0 + default = 0 class ChanceOfDoubleCategory(Range): @@ -160,7 +162,7 @@ class ChanceOfPoints(Range): display_name = "Weight of adding Points" range_start = 0 range_end = 100 - default = 20 + default = 20 class PointsSize(Choice): @@ -186,7 +188,7 @@ class MinimizeExtraItems(Choice): display_name = "Minimize extra items" option_no_dont = 1 option_yes_please = 2 - default = 1 + default = 1 class AddExtraPoints(Choice): @@ -259,16 +261,16 @@ class YachtDiceOptions(PerGameCommonOptions): game_difficulty: GameDifficulty score_for_last_check: ScoreForLastCheck score_for_goal: ScoreForGoal - + minimal_number_of_dice_and_rolls: MinimalNumberOfDiceAndRolls number_of_dice_fragments_per_dice: NumberDiceFragmentsPerDice number_of_roll_fragments_per_roll: NumberRollFragmentsPerRoll - + alternative_categories: AlternativeCategories - + allow_manual_input: AllowManual - - #the following options determine what extra items are shuffled into the pool: + + # the following options determine what extra items are shuffled into the pool: weight_of_dice: ChanceOfDice weight_of_roll: ChanceOfRoll weight_of_fixed_score_multiplier: ChanceOfFixedScoreMultiplier @@ -276,18 +278,19 @@ class YachtDiceOptions(PerGameCommonOptions): weight_of_double_category: ChanceOfDoubleCategory weight_of_points: ChanceOfPoints points_size: PointsSize - + minimize_extra_items: MinimizeExtraItems add_bonus_points: AddExtraPoints add_story_chapters: AddStoryChapters which_story: WhichStory + yd_option_groups = [ OptionGroup("Extra progression items", [ ChanceOfDice, ChanceOfRoll, ChanceOfFixedScoreMultiplier, ChanceOfStepScoreMultiplier, ChanceOfDoubleCategory, ChanceOfPoints, PointsSize ]), - + OptionGroup("Other items", [ MinimizeExtraItems, AddExtraPoints, AddStoryChapters, WhichStory ]) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 639b95898e86..4fed56f63939 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -1,9 +1,12 @@ -from worlds.generic.Rules import set_rule -from BaseClasses import MultiWorld -from .YachtWeights import yacht_weights import math from collections import defaultdict +from BaseClasses import MultiWorld + +from worlds.generic.Rules import set_rule + +from .YachtWeights import yacht_weights + # List of categories, and the name of the logic class associated with it category_mappings = { "Category Ones": "Ones", @@ -22,10 +25,10 @@ "Category Large Straight": "LargeStraight", "Category Full House": "FullHouse", "Category Yacht": "Yacht", - + "Category Distincts": "Distincts", - "Category Two times Ones": "Twos", #same weights as twos category - "Category Half of Sixes": "Threes", #same weights as threes category + "Category Two times Ones": "Twos", # same weights as twos category + "Category Half of Sixes": "Threes", # same weights as threes category "Category Twos and Threes": "TwosAndThrees", "Category Sum of Odds": "SumOfOdds", "Category Sum of Evens": "SumOfEvens", @@ -51,7 +54,7 @@ class Category: - def __init__(self, name, quantity = 1): + def __init__(self, name, quantity=1): self.name = name self.quantity = quantity # how many times you have the category @@ -60,22 +63,22 @@ def mean_score(self, num_dice, num_rolls): if num_dice == 0 or num_rolls == 0: return 0 mean_score = 0 - for key in yacht_weights[self.name, min(8,num_dice), min(8,num_rolls)]: - mean_score += key*yacht_weights[self.name, min(8,num_dice), min(8,num_rolls)][key]/100000 + for key in yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)]: + mean_score += key * yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)][key] / 100000 return mean_score * self.quantity def extract_progression(state, player, options): # method to obtain a list of what items the player has. # this includes categories, dice, rolls and score multiplier etc. - - if player == "state_is_a_list": # the state variable is just a list with the names of the items + + if player == "state_is_a_list": # the state variable is just a list with the names of the items number_of_dice = ( - state.count("Dice") + state.count("Dice") + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value ) number_of_rerolls = ( - state.count("Roll") + state.count("Roll") + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value ) number_of_fixed_mults = state.count("Fixed Score Multiplier") @@ -83,17 +86,17 @@ def extract_progression(state, player, options): categories = [] for category_name, category_value in category_mappings.items(): if state.count(category_name) >= 1: - categories += [Category(category_value, state.count(category_name))] + categories += [Category(category_value, state.count(category_name))] extra_points_in_logic = state.count("1 Point") extra_points_in_logic += state.count("10 Points") * 10 extra_points_in_logic += state.count("100 Points") * 100 - else: # state is an Archipelago object, so we need state.count(..., player) + else: # state is an Archipelago object, so we need state.count(..., player) number_of_dice = ( - state.count("Dice", player) + state.count("Dice", player) + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value ) number_of_rerolls = ( - state.count("Roll", player) + state.count("Roll", player) + state.count("Roll Fragment", player) // options.number_of_roll_fragments_per_roll.value ) number_of_fixed_mults = state.count("Fixed Score Multiplier", player) @@ -101,26 +104,29 @@ def extract_progression(state, player, options): categories = [] for category_name, category_value in category_mappings.items(): if state.count(category_name, player) >= 1: - categories += [Category(category_value, state.count(category_name, player))] + categories += [Category(category_value, state.count(category_name, player))] extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - - return [categories, number_of_dice, number_of_rerolls, + + return [categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic] - + # We will store the results of this function as it is called often for the same parameters. + + yachtdice_cache = {} + # Function that returns the feasible score in logic based on items obtained. def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff): - tup = tuple([tuple(sorted([c.name+str(c.quantity) for c in categories])), - num_dice, num_rolls, fixed_mult, step_mult, diff]) #identifier - + tup = tuple([tuple(sorted([c.name + str(c.quantity) for c in categories])), + num_dice, num_rolls, fixed_mult, step_mult, diff]) # identifier + # if already computed, return the result if tup in yachtdice_cache.keys(): return yachtdice_cache[tup] - + # sort categories because for the step multiplier, you will want low-scoring categories first categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) @@ -132,7 +138,7 @@ def add_distributions(dist1, dist2): for val2, prob2 in dist2.items(): combined_dist[val1 + val2] += prob1 * prob2 return dict(combined_dist) - + # function to take the maximum of "times" i.i.d. dist1. # (I have tried using defaultdict here too but this made it slower.) def max_dist(dist1, mults): @@ -144,13 +150,13 @@ def max_dist(dist1, mults): for val2, prob2 in dist1.items(): new_val = int(max(val1, val2 * mult)) new_prob = prob1 * prob2 - + # Update the probability for the new value if new_val in new_dist: new_dist[new_val] += new_prob else: new_dist[new_val] = new_prob - + return new_dist # Returns percentile value of a distribution. @@ -158,16 +164,16 @@ def percentile_distribution(dist, percentile): sorted_values = sorted(dist.keys()) cumulative_prob = 0 prev_val = None - + for val in sorted_values: prev_val = val cumulative_prob += dist[val] if cumulative_prob >= percentile: return prev_val # Return the value before reaching the desired percentile - + # Return the first value if percentile is lower than all probabilities - return prev_val if prev_val is not None else sorted_values[0] - + return prev_val if prev_val is not None else sorted_values[0] + # parameters for logic. # perc_return is, per difficulty, the percentages of total score it returns (it averages out the values) # diff_divide determines how many shots the logic gets per category. Lower = more shots. @@ -180,25 +186,26 @@ def percentile_distribution(dist, percentile): if num_dice == 0 or num_rolls == 0: dist = {0: 100000} else: - dist = yacht_weights[categories[j].name, min(8,num_dice), min(8,num_rolls)].copy() - + dist = yacht_weights[categories[j].name, min(8, num_dice), min(8, num_rolls)].copy() + for key in dist.keys(): dist[key] /= 100000 - - cat_mult = 2 ** (categories[j].quantity-1) - + + cat_mult = 2 ** (categories[j].quantity - 1) + # for higher difficulties, the simulation gets multiple tries for categories. - max_tries = j // diff_divide - mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0,j - max_tries), j+1)] + max_tries = j // diff_divide + mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0, j - max_tries), j + 1)] dist = max_dist(dist, mults) - + total_dist = add_distributions(total_dist, dist) - + # save result into the cache, then return it outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) yachtdice_cache[tup] = max(5, math.floor(outcome)) return yachtdice_cache[tup] + # Returns the feasible score that one can reach with the current state, options and difficulty. def dice_simulation(state, player, options): if player == "state_is_a_list": @@ -206,7 +213,7 @@ def dice_simulation(state, player, options): return dice_simulation_strings( categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value ) + expoints - + if state.prog_items[player]["state_is_fresh"] == 0: state.prog_items[player]["state_is_fresh"] = 1 categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) @@ -226,7 +233,7 @@ def set_yacht_rules(world: MultiWorld, player: int, options): player=player: dice_simulation(state, player, options) >= curscore) + # Sets rules on completion condition def set_yacht_completion_rules(world: MultiWorld, player: int): world.completion_condition[player] = lambda state: state.has("Victory", player) - \ No newline at end of file diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 9be60986c0c6..830f56adcbcf 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -2,8 +2,8 @@ # Every entry consists of a key. This key has input category, number of dice, and number of rolls. # The value then shows a list of all possible scores to get, and how many times of 100000 it achieved. -# example: ("Choice", 2, 2): +# example: ("Choice", 2, 2): # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("Twos", 0, 0): {0: 100000}, ("Twos", 0, 1): {0: 100000}, ("Twos", 0, 2): {0: 100000}, ("Twos", 0, 3): {0: 100000}, ("Twos", 0, 4): {0: 100000}, ("Twos", 0, 5): {0: 100000}, ("Twos", 0, 6): {0: 100000}, ("Twos", 0, 7): {0: 100000}, ("Twos", 0, 8): {0: 100000}, ("Twos", 1, 0): {0: 100000}, ("Twos", 1, 1): {0: 83475, 2: 16525}, ("Twos", 1, 2): {0: 69690, 2: 30310}, ("Twos", 1, 3): {0: 57818, 2: 42182}, ("Twos", 1, 4): {0: 48418, 2: 51582}, ("Twos", 1, 5): {2: 59699, 0: 40301}, ("Twos", 1, 6): {2: 66442, 0: 33558}, ("Twos", 1, 7): {2: 71818, 0: 28182}, ("Twos", 1, 8): {0: 23406, 2: 76594}, ("Twos", 2, 0): {0: 100000}, ("Twos", 2, 1): {0: 69724, 2: 27485, 4: 2791}, ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, ("Twos", 2, 4): {2: 49957, 4: 26907, 0: 23136}, ("Twos", 2, 5): {4: 35654, 2: 48200, 0: 16146}, ("Twos", 2, 6): {4: 44420, 2: 44497, 0: 11083}, ("Twos", 2, 7): {4: 51995, 2: 40343, 0: 7662}, ("Twos", 2, 8): {4: 59120, 2: 35526, 0: 5354}, ("Twos", 3, 0): {0: 100000}, ("Twos", 3, 1): {2: 34522, 0: 58021, 4: 6995, 6: 462}, ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 19358, 6: 2833}, ("Twos", 3, 3): {2: 42372, 4: 30748, 0: 19375, 6: 7505}, ("Twos", 3, 4): {6: 13998, 4: 38569, 2: 36435, 0: 10998}, ("Twos", 3, 5): {4: 43283, 2: 28838, 6: 21360, 0: 6519}, ("Twos", 3, 6): {6: 29650, 4: 44233, 2: 22498, 0: 3619}, ("Twos", 3, 7): {6: 37142, 2: 16979, 4: 43684, 0: 2195}, ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, ("Twos", 4, 0): {0: 100000}, ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, ("Twos", 5, 0): {0: 100000}, ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 2658}, ("Twos", 5, 5): {4: 23643, 8: 25853, 10: 7495, 6: 33993, 0: 1032, 2: 7984}, ("Twos", 5, 6): {6: 32774, 2: 4152, 8: 32900, 10: 13183, 0: 450, 4: 16541}, ("Twos", 5, 7): {6: 29481, 8: 37636, 10: 19256, 4: 11231, 2: 2226, 0: 170}, ("Twos", 5, 8): {10: 26467, 8: 40798, 6: 23993, 4: 7571, 2: 1108, 0: 63}, ("Twos", 6, 0): {0: 100000}, ("Twos", 6, 1): {0: 33502, 4: 19717, 2: 40413, 6: 5481, 8: 815, 10: 68, 12: 4}, ("Twos", 6, 2): {2: 29638, 8: 6339, 4: 32701, 0: 11210, 6: 18988, 10: 1046, 12: 78}, ("Twos", 6, 3): {6: 29102, 2: 16459, 8: 15825, 4: 29795, 0: 3673, 10: 4581, 12: 565}, ("Twos", 6, 4): {2: 8048, 8: 25066, 4: 21977, 6: 31053, 10: 10654, 12: 1959, 0: 1243}, ("Twos", 6, 5): {10: 18355, 4: 13949, 6: 28142, 8: 30723, 2: 3753, 12: 4637, 0: 441}, ("Twos", 6, 6): {10: 26213, 6: 22222, 4: 8455, 8: 32692, 12: 8618, 2: 1679, 0: 121}, ("Twos", 6, 7): {10: 32532, 8: 31410, 6: 16142, 12: 14270, 4: 4871, 2: 728, 0: 47}, ("Twos", 6, 8): {12: 20612, 6: 11432, 10: 37237, 8: 27864, 4: 2544, 2: 299, 0: 12}, ("Twos", 7, 0): {0: 100000}, ("Twos", 7, 1): {2: 39060, 0: 27683, 8: 1580, 4: 23574, 6: 7899, 10: 192, 12: 12}, ("Twos", 7, 2): {2: 24031, 6: 23095, 4: 31764, 0: 7824, 8: 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("Yacht", 2, 2): {0: 100000}, ("Yacht", 2, 3): {0: 100000}, ("Yacht", 2, 4): {0: 100000}, ("Yacht", 2, 5): {0: 100000}, ("Yacht", 2, 6): {0: 100000}, ("Yacht", 2, 7): {0: 100000}, ("Yacht", 2, 8): {0: 100000}, ("Yacht", 3, 0): {0: 100000}, ("Yacht", 3, 1): {0: 100000}, ("Yacht", 3, 2): {0: 100000}, ("Yacht", 3, 3): {0: 100000}, ("Yacht", 3, 4): {0: 100000}, ("Yacht", 3, 5): {0: 100000}, ("Yacht", 3, 6): {0: 100000}, ("Yacht", 3, 7): {0: 100000}, ("Yacht", 3, 8): {0: 100000}, ("Yacht", 4, 0): {0: 100000}, ("Yacht", 4, 1): {0: 100000}, ("Yacht", 4, 2): {0: 100000}, ("Yacht", 4, 3): {0: 100000}, ("Yacht", 4, 4): {0: 100000}, ("Yacht", 4, 5): {0: 100000}, ("Yacht", 4, 6): {0: 100000}, ("Yacht", 4, 7): {0: 100000}, ("Yacht", 4, 8): {0: 100000}, ("Yacht", 5, 0): {0: 100000}, ("Yacht", 5, 1): {0: 99919, 50: 81}, ("Yacht", 5, 2): {0: 98727, 50: 1273}, ("Yacht", 5, 3): {50: 4653, 0: 95347}, ("Yacht", 5, 4): {0: 89969, 50: 10031}, ("Yacht", 5, 5): {0: 83124, 50: 16876}, ("Yacht", 5, 6): {0: 75023, 50: 24977}, ("Yacht", 5, 7): {0: 67007, 50: 32993}, ("Yacht", 5, 8): {0: 58618, 50: 41382}, ("Yacht", 6, 0): {0: 100000}, ("Yacht", 6, 1): {0: 99571, 50: 429}, ("Yacht", 6, 2): {0: 94726, 50: 5274}, ("Yacht", 6, 3): {0: 84366, 50: 15634}, ("Yacht", 6, 4): {50: 29218, 0: 70782}, ("Yacht", 6, 5): {0: 56573, 50: 43427}, ("Yacht", 6, 6): {50: 55794, 0: 44206}, ("Yacht", 6, 7): {50: 66422, 0: 33578}, ("Yacht", 6, 8): {0: 25079, 50: 74921}, ("Yacht", 7, 0): {0: 100000}, ("Yacht", 7, 1): {0: 98833, 50: 1167}, ("Yacht", 7, 2): {0: 87511, 50: 12489}, ("Yacht", 7, 3): {0: 68252, 50: 31748}, ("Yacht", 7, 4): {0: 49065, 50: 50935}, ("Yacht", 7, 5): {0: 33364, 50: 66636}, ("Yacht", 7, 6): {50: 78517, 0: 21483}, ("Yacht", 7, 7): {50: 86403, 0: 13597}, ("Yacht", 7, 8): {50: 91517, 0: 8483}, ("Yacht", 8, 0): {0: 100000}, ("Yacht", 8, 1): {0: 97212, 50: 2788}, ("Yacht", 8, 2): {50: 23038, 0: 76962}, ("Yacht", 8, 3): {0: 50533, 50: 49467}, ("Yacht", 8, 4): {50: 70019, 0: 29981}, ("Yacht", 8, 5): 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("Distincts", 3, 7): {3: 99931, 2: 69}, ("Distincts", 3, 8): {3: 99978, 2: 22}, ("Distincts", 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, ("Distincts", 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, ("Distincts", 4, 3): {4: 80139, 3: 19631, 2: 230}, ("Distincts", 4, 4): {4: 90121, 3: 9858, 2: 21}, ("Distincts", 4, 5): {4: 95094, 3: 4904, 2: 2}, ("Distincts", 4, 6): {4: 97506, 3: 2494}, ("Distincts", 4, 7): {4: 98703, 3: 1297}, ("Distincts", 4, 8): {4: 99389, 3: 611}, ("Distincts", 5, 1): {4: 46379, 5: 9285, 3: 38538, 2: 5717, 1: 81}, ("Distincts", 5, 2): {4: 56472, 5: 31685, 3: 11647, 2: 196}, ("Distincts", 5, 3): {4: 44724, 5: 52254, 3: 3016, 2: 6}, ("Distincts", 5, 4): {4: 31632, 5: 67646, 3: 722}, ("Distincts", 5, 5): {5: 78394, 4: 21391, 3: 215}, ("Distincts", 5, 6): {5: 85475, 4: 14470, 3: 55}, ("Distincts", 5, 7): {5: 90340, 4: 9645, 3: 15}, ("Distincts", 5, 8): {5: 93537, 4: 6461, 3: 2}, ("Distincts", 6, 1): {3: 22985, 5: 23032, 4: 50464, 2: 2019, 6: 1492, 1: 8}, ("Distincts", 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("Distincts", 8, 3): {6: 63276, 5: 34748, 4: 1967, 3: 9}, ("Distincts", 8, 4): {6: 78603, 5: 21008, 4: 389}, ("Distincts", 8, 5): {6: 87408, 5: 12514, 4: 78}, ("Distincts", 8, 6): {6: 92823, 5: 7159, 4: 18}, ("Distincts", 8, 7): {6: 95821, 5: 4175, 4: 4}, ("Distincts", 8, 8): {6: 97560, 5: 2440}, ("TwosAndThrees", 1, 1): {0: 66466, 2: 16929, 3: 16605}, ("TwosAndThrees", 1, 2): {0: 55640, 2: 13812, 3: 30548}, ("TwosAndThrees", 1, 3): {3: 42178, 0: 46223, 2: 11599}, ("TwosAndThrees", 1, 4): {3: 51830, 0: 38552, 2: 9618}, ("TwosAndThrees", 1, 5): {0: 32320, 3: 59706, 2: 7974}, ("TwosAndThrees", 1, 6): {0: 26733, 3: 66583, 2: 6684}, ("TwosAndThrees", 1, 7): {3: 72148, 0: 22289, 2: 5563}, ("TwosAndThrees", 1, 8): {3: 76636, 0: 18676, 2: 4688}, ("TwosAndThrees", 2, 1): {3: 22335, 2: 21965, 0: 44565, 4: 2837, 5: 5615, 6: 2683}, ("TwosAndThrees", 2, 2): {3: 33956, 0: 30855, 6: 9438, 2: 15480, 5: 8278, 4: 1993}, ("TwosAndThrees", 2, 3): {0: 21509, 3: 38995, 6: 17586, 2: 10838, 5: 9727, 4: 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("TwosAndThrees", 4, 6): {9: 31606, 5: 3815, 8: 9649, 11: 7894, 3: 5070, 12: 19495, 6: 19042, 10: 1243, 2: 514, 7: 971, 0: 530, 4: 171}, ("TwosAndThrees", 4, 7): {6: 15556, 3: 3337, 9: 33379, 12: 26771, 5: 2427, 11: 8601, 2: 239, 8: 7881, 10: 918, 0: 224, 7: 584, 4: 83}, ("TwosAndThrees", 4, 8): {11: 8379, 6: 12179, 8: 6079, 9: 33703, 2: 130, 12: 34875, 3: 1931, 5: 1468, 10: 738, 7: 353, 0: 123, 4: 42}, ("TwosAndThrees", 5, 1): {8: 6572, 5: 16396, 6: 10247, 4: 8172, 3: 16607, 2: 16414, 7: 6170, 0: 13070, 9: 3061, 10: 1591, 11: 1136, 12: 374, 13: 124, 14: 55, 15: 11}, ("TwosAndThrees", 5, 2): {6: 16838, 8: 12090, 5: 14763, 7: 5565, 2: 6515, 3: 14466, 10: 3040, 0: 5213, 9: 9616, 12: 2659, 4: 3294, 11: 4470, 14: 636, 13: 578, 15: 257}, ("TwosAndThrees", 5, 3): {5: 9700, 3: 9638, 6: 17947, 11: 8066, 9: 16835, 8: 13214, 13: 1039, 7: 3741, 0: 2126, 12: 7402, 4: 1321, 2: 2581, 15: 1332, 14: 1842, 10: 3216}, ("TwosAndThrees", 5, 4): {6: 15410, 9: 20661, 15: 3811, 5: 5781, 14: 3435, 10: 3042, 11: 10468, 8: 11579, 7: 2157, 3: 5807, 12: 14158, 0: 848, 13: 1264, 2: 1086, 4: 493}, ("TwosAndThrees", 5, 5): {12: 20783, 14: 5166, 6: 12042, 9: 22225, 8: 8829, 11: 11126, 3: 3222, 7: 1226, 10: 2220, 15: 7632, 5: 3184, 13: 1346, 2: 401, 0: 380, 4: 218}, ("TwosAndThrees", 5, 6): {15: 13013, 14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ("TwosAndThrees", 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ("TwosAndThrees", 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ("TwosAndThrees", 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ("TwosAndThrees", 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ("TwosAndThrees", 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ("TwosAndThrees", 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ("TwosAndThrees", 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ("TwosAndThrees", 6, 6): {11: 8492, 15: 21066, 12: 21369, 17: 5246, 6: 3342, 16: 1335, 14: 10649, 8: 3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ("TwosAndThrees", 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ("TwosAndThrees", 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 4: 2}, ("TwosAndThrees", 7, 1): {8: 10304, 0: 5802, 2: 10380, 11: 3830, 7: 9559, 10: 5017, 5: 15384, 4: 7689, 3: 10100, 9: 6289, 13: 1211, 6: 11027, 12: 2088, 14: 735, 15: 309, 16: 177, 17: 59, 19: 11, 18: 27, 20: 2}, ("TwosAndThrees", 7, 2): {10: 6466, 0: 1605, 8: 13172, 7: 5824, 11: 9919, 13: 3610, 9: 11600, 14: 4206, 2: 2810, 6: 11269, 5: 9442, 12: 6844, 15: 2299, 3: 6242, 17: 923, 16: 966, 4: 2215, 18: 376, 19: 114, 20: 76, 21: 22}, ("TwosAndThrees", 7, 3): {6: 8288, 7: 2641, 3: 2956, 9: 13017, 8: 10013, 14: 8279, 16: 2082, 12: 12302, 11: 12133, 13: 4465, 18: 1968, 15: 6674, 10: 5028, 17: 3001, 5: 4265, 2: 792, 20: 437, 21: 258, 4: 558, 0: 471, 19: 372}, ("TwosAndThrees", 7, 4): {15: 12396, 9: 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13: 707, 6: 249, 10: 197, 7: 19, 3: 27, 2: 2, 0: 2}, ("TwosAndThrees", 8, 1): {12: 3210, 0: 3799, 7: 10309, 5: 13610, 10: 6648, 6: 10144, 3: 7840, 2: 7917, 9: 7504, 8: 11477, 4: 6794, 13: 2299, 11: 5342, 14: 1498, 16: 444, 15: 738, 17: 245, 19: 51, 18: 105, 20: 20, 21: 4, 22: 1, 23: 1}, ("TwosAndThrees", 8, 2): {11: 11041, 12: 8197, 5: 6900, 18: 1088, 9: 10605, 14: 6195, 8: 11961, 16: 2205, 10: 7327, 13: 5337, 6: 8536, 0: 902, 4: 1547, 15: 3891, 3: 4041, 7: 5214, 20: 384, 2: 1872, 17: 2062, 21: 155, 22: 37, 19: 479, 23: 17, 24: 7}, ("TwosAndThrees", 8, 3): {11: 11338, 12: 11675, 13: 5514, 15: 8898, 6: 5105, 17: 5667, 9: 9728, 8: 7389, 18: 3828, 22: 206, 19: 1391, 14: 10523, 16: 3854, 10: 4686, 7: 1931, 23: 227, 21: 1014, 20: 1681, 3: 1598, 4: 392, 5: 2625, 2: 422, 0: 201, 24: 107}, ("TwosAndThrees", 8, 4): {17: 9133, 12: 11960, 15: 13098, 16: 4254, 11: 8286, 9: 6908, 20: 3995, 21: 3323, 14: 11359, 10: 2363, 18: 8743, 13: 4118, 19: 2217, 8: 3661, 24: 520, 7: 648, 6: 2558, 23: 768, 22: 471, 3: 518, 2: 97, 5: 884, 4: 75, 0: 43}, ("TwosAndThrees", 8, 5): {21: 7245, 13: 2524, 16: 3469, 12: 9934, 11: 5061, 17: 10743, 15: 14970, 18: 14072, 24: 1671, 14: 9578, 10: 1007, 20: 6621, 6: 1110, 9: 4201, 19: 2728, 23: 1727, 8: 1714, 22: 848, 5: 316, 3: 188, 7: 211, 0: 16, 2: 16, 4: 30}, ("TwosAndThrees", 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ("TwosAndThrees", 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ("TwosAndThrees", 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ("SumOfOdds", 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ("SumOfOdds", 1, 2): {0: 33472, 3: 27886, 1: 11017, 5: 27625}, ("SumOfOdds", 1, 3): {0: 27892, 5: 39809, 1: 9293, 3: 23006}, ("SumOfOdds", 1, 4): {3: 19299, 5: 49784, 0: 23060, 1: 7857}, ("SumOfOdds", 1, 5): {5: 58167, 3: 15941, 1: 6559, 0: 19333}, ("SumOfOdds", 1, 6): {5: 65098, 0: 16250, 1: 5428, 3: 13224}, ("SumOfOdds", 1, 7): {5: 70969, 3: 11191, 0: 13420, 1: 4420}, ("SumOfOdds", 1, 8): {5: 75949, 0: 11042, 3: 9361, 1: 3648}, ("SumOfOdds", 2, 1): {5: 16856, 8: 5540, 6: 8312, 4: 5580, 0: 24611, 1: 16800, 3: 16654, 2: 2815, 10: 2832}, ("SumOfOdds", 2, 2): {8: 15414, 3: 18386, 6: 13858, 0: 11216, 4: 6190, 5: 18558, 10: 7773, 1: 7355, 2: 1250}, ("SumOfOdds", 2, 3): {1: 5252, 6: 12709, 3: 12782, 8: 18363, 5: 22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ("SumOfOdds", 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ("SumOfOdds", 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 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("SumOfOdds", 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ("SumOfOdds", 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ("SumOfOdds", 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ("SumOfOdds", 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ("SumOfOdds", 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 299, 20: 78}, ("SumOfOdds", 4, 2): {7: 4928, 20: 589, 9: 9721, 14: 5301, 18: 2447, 13: 8342, 10: 7201, 4: 4099, 8: 11060, 15: 2925, 6: 9467, 3: 4253, 11: 11978, 12: 3975, 1: 1599, 16: 4530, 5: 5463, 0: 1267, 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14006, 4: 2618, 2: 538, 0: 794}, ("SumOfEvens", 3, 1): {2: 12516, 0: 12538, 4: 16530, 8: 13745, 10: 11209, 6: 21270, 14: 2828, 16: 1389, 12: 7524, 18: 451}, ("SumOfEvens", 3, 2): {10: 18955, 12: 15021, 4: 10459, 16: 6476, 14: 8937, 8: 15032, 2: 3738, 6: 15644, 0: 3666, 18: 2072}, ("SumOfEvens", 3, 3): {8: 12295, 6: 8576, 4: 5572, 10: 20247, 18: 4316, 14: 15953, 12: 18001, 16: 12864, 2: 1093, 0: 1083}, ("SumOfEvens", 3, 4): {12: 18975, 4: 3238, 8: 8218, 10: 17232, 0: 642, 14: 15832, 16: 18749, 18: 9594, 6: 6844, 2: 676}, ("SumOfEvens", 3, 5): {16: 21954, 12: 19533, 14: 14402, 10: 13927, 18: 16784, 8: 5720, 6: 5105, 4: 1825, 2: 377, 0: 373}, ("SumOfEvens", 3, 6): {16: 23882, 14: 12940, 18: 24491, 12: 19070, 10: 10614, 8: 3796, 6: 3732, 4: 1064, 0: 195, 2: 216}, ("SumOfEvens", 3, 7): {18: 32287, 16: 24254, 12: 18146, 10: 8145, 8: 2534, 6: 2787, 14: 10985, 4: 613, 0: 126, 2: 123}, ("SumOfEvens", 3, 8): {12: 16926, 10: 5777, 18: 40557, 14: 9402, 16: 23114, 8: 1718, 6: 2012, 0: 68, 4: 356, 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12344, 26: 12235, 14: 4006, 30: 5102, 8: 464, 6: 259, 10: 1369, 12: 2559, 2: 12, 0: 7, 4: 72}, ("SumOfEvens", 5, 6): {24: 17286, 28: 15274, 16: 5274, 30: 9604, 18: 8224, 26: 13565, 22: 16041, 14: 2381, 20: 9688, 10: 671, 12: 1618, 8: 212, 6: 124, 4: 29, 2: 5, 0: 4}, ("SumOfEvens", 5, 7): {26: 13349, 20: 7478, 22: 13863, 16: 3465, 30: 15365, 24: 18114, 28: 19048, 18: 6367, 14: 1478, 6: 52, 12: 973, 8: 102, 10: 330, 4: 12, 0: 3, 2: 1}, ("SumOfEvens", 5, 8): {28: 21211, 30: 22142, 26: 12500, 24: 18376, 22: 11699, 20: 5406, 18: 4912, 14: 771, 16: 2197, 12: 537, 10: 172, 6: 22, 8: 45, 4: 9, 0: 1}, ("SumOfEvens", 6, 1): {12: 13855, 8: 11527, 6: 9535, 14: 12217, 10: 13220, 18: 7641, 20: 5155, 4: 5715, 16: 10036, 2: 3110, 22: 3134, 24: 1769, 0: 1657, 26: 882, 28: 364, 32: 46, 30: 125, 34: 9, 36: 3}, ("SumOfEvens", 6, 2): {16: 12112, 14: 10495, 18: 12962, 20: 12458, 22: 10842, 4: 936, 30: 1777, 12: 8107, 10: 5781, 24: 8362, 28: 3560, 26: 5714, 8: 3286, 34: 279, 6: 1999, 0: 149, 32: 841, 2: 295, 36: 45}, ("SumOfEvens", 6, 3): {34: 1114, 26: 11930, 28: 8967, 16: 7714, 18: 10098, 22: 13809, 24: 13594, 20: 12628, 10: 1732, 12: 3009, 30: 5778, 32: 3126, 14: 5066, 8: 774, 6: 309, 36: 205, 4: 127, 2: 12, 0: 8}, ("SumOfEvens", 6, 4): {16: 4678, 26: 13991, 20: 9551, 24: 13471, 18: 6764, 32: 6534, 4: 36, 34: 3599, 28: 12906, 22: 12530, 30: 9662, 10: 774, 14: 2613, 12: 1479, 36: 987, 2: 13, 8: 287, 6: 122, 0: 3}, ("SumOfEvens", 6, 5): {32: 9788, 24: 11810, 34: 7399, 30: 12927, 26: 13874, 28: 15232, 16: 2702, 18: 4392, 20: 6604, 22: 9916, 36: 2699, 14: 1416, 12: 740, 10: 322, 6: 51, 8: 108, 4: 15, 0: 2, 2: 3}, ("SumOfEvens", 6, 6): {26: 11838, 22: 7418, 30: 15534, 34: 11679, 36: 5973, 24: 9870, 28: 15982, 20: 4214, 32: 12014, 18: 2686, 12: 322, 10: 156, 8: 52, 14: 664, 16: 1568, 6: 26, 4: 2, 2: 1, 0: 1}, ("SumOfEvens", 6, 7): {30: 17083, 28: 15301, 22: 5154, 26: 9426, 32: 13001, 20: 2576, 34: 15604, 24: 8221, 36: 10524, 18: 1673, 16: 848, 14: 336, 12: 179, 10: 53, 6: 9, 8: 11, 4: 1}, ("SumOfEvens", 6, 8): {22: 3449, 36: 16329, 26: 7209, 32: 12842, 30: 18101, 34: 18840, 28: 13662, 20: 1500, 24: 6361, 18: 984, 16: 453, 14: 154, 12: 87, 10: 22, 8: 4, 4: 1, 6: 2}, ("SumOfEvens", 7, 1): {8: 8939, 24: 3564, 16: 11578, 12: 12690, 10: 11183, 18: 9725, 4: 3653, 6: 6451, 20: 7614, 14: 12463, 30: 591, 22: 5306, 28: 1178, 26: 2087, 32: 276, 0: 780, 2: 1804, 34: 79, 38: 9, 36: 28, 42: 1, 40: 1}, ("SumOfEvens", 7, 2): {20: 11747, 22: 12101, 18: 10694, 30: 4969, 34: 1637, 12: 4933, 28: 7140, 10: 3020, 16: 9103, 14: 7121, 26: 9407, 40: 95, 32: 2990, 24: 10947, 8: 1631, 6: 866, 36: 742, 38: 279, 4: 405, 2: 118, 0: 44, 42: 11}, ("SumOfEvens", 7, 3): {28: 12644, 18: 5753, 22: 10305, 30: 10884, 24: 12043, 34: 5494, 26: 13153, 32: 8457, 20: 8013, 36: 3227, 12: 1178, 16: 3620, 14: 2216, 38: 1526, 40: 457, 42: 73, 10: 585, 8: 255, 4: 32, 6: 78, 0: 4, 2: 3}, ("SumOfEvens", 7, 4): {34: 10022, 20: 4695, 36: 6630, 38: 4042, 30: 13018, 26: 11605, 24: 9234, 22: 6948, 32: 11907, 28: 12907, 40: 1978, 10: 212, 16: 1818, 18: 3010, 42: 424, 14: 940, 12: 482, 8: 84, 6: 33, 2: 3, 4: 7, 0: 1}, ("SumOfEvens", 7, 5): {34: 13412, 36: 10366, 24: 6303, 30: 12713, 26: 8816, 40: 4734, 22: 4347, 38: 7212, 32: 13273, 28: 11561, 20: 2543, 18: 1526, 42: 1564, 14: 395, 16: 920, 12: 186, 8: 31, 10: 80, 4: 4, 6: 14}, ("SumOfEvens", 7, 6): {40: 8464, 32: 12798, 36: 13346, 28: 9389, 38: 10011, 24: 4176, 34: 15385, 30: 11291, 26: 6057, 22: 2683, 42: 3605, 20: 1359, 18: 819, 14: 148, 16: 359, 10: 32, 12: 68, 8: 4, 6: 5, 4: 1}, ("SumOfEvens", 7, 7): {34: 15613, 18: 390, 42: 7149, 36: 15702, 38: 12021, 30: 9525, 40: 12478, 32: 11106, 26: 3913, 28: 7007, 20: 681, 24: 2671, 22: 1511, 14: 69, 16: 135, 8: 2, 12: 23, 10: 3, 6: 1}, ("SumOfEvens", 7, 8): {40: 16137, 26: 2459, 36: 16970, 30: 7669, 38: 12599, 32: 9076, 42: 12085, 34: 14812, 24: 1645, 28: 5058, 22: 824, 20: 339, 18: 204, 14: 24, 16: 77, 12: 18, 10: 4}, ("SumOfEvens", 8, 1): {24: 5501, 14: 11696, 26: 3771, 28: 2435, 16: 11862, 18: 11145, 10: 8598, 32: 813, 6: 4344, 0: 373, 12: 10648, 2: 1020, 22: 7414, 20: 9463, 8: 6532, 30: 1376, 4: 2316, 38: 73, 34: 408, 36: 180, 40: 24, 42: 4, 44: 3, 46: 1}, ("SumOfEvens", 8, 2): {38: 1519, 26: 10879, 16: 6135, 20: 9772, 30: 8043, 32: 6058, 28: 9711, 18: 7865, 24: 11148, 34: 4215, 22: 10922, 10: 1536, 14: 4098, 36: 2718, 12: 2761, 8: 772, 6: 386, 42: 342, 40: 769, 4: 141, 2: 45, 44: 107, 46: 37, 0: 17, 48: 4}, ("SumOfEvens", 8, 3): {30: 12249, 28: 11561, 24: 8306, 36: 7860, 16: 1616, 40: 3315, 22: 6221, 38: 5627, 34: 10070, 18: 2630, 32: 11747, 20: 4428, 26: 10158, 42: 1741, 14: 874, 44: 669, 12: 430, 46: 173, 10: 187, 8: 65, 4: 5, 6: 39, 48: 28, 2: 1}, ("SumOfEvens", 8, 4): {40: 7009, 34: 12243, 28: 9047, 32: 12344, 38: 9623, 30: 10811, 16: 621, 42: 4569, 26: 6864, 44: 2425, 18: 1160, 36: 11307, 22: 3304, 48: 216, 24: 4882, 10: 59, 46: 1035, 20: 1982, 14: 294, 6: 8, 12: 167, 8: 26, 2: 2, 4: 1, 0: 1}, ("SumOfEvens", 8, 5): {40: 10958, 36: 12458, 30: 8178, 34: 12180, 38: 12260, 24: 2712, 42: 7933, 28: 6229, 32: 10485, 14: 108, 22: 1654, 46: 2920, 26: 4229, 20: 918, 44: 5192, 48: 814, 16: 222, 18: 467, 8: 11, 6: 3, 4: 1, 10: 17, 12: 51}, ("SumOfEvens", 8, 6): {36: 12064, 48: 2382, 26: 2376, 24: 1455, 44: 8361, 28: 3916, 40: 13920, 42: 11359, 38: 12862, 32: 7846, 46: 5912, 30: 5727, 34: 10367, 18: 208, 16: 78, 22: 753, 20: 361, 14: 30, 10: 6, 12: 15, 6: 1, 8: 1}, ("SumOfEvens", 8, 7): {34: 8619, 42: 13899, 32: 5303, 36: 10651, 30: 3778, 46: 10004, 28: 2390, 38: 12089, 40: 14999, 44: 10574, 48: 5042, 8: 3, 26: 1228, 24: 767, 22: 381, 18: 74, 20: 152, 16: 27, 12: 5, 14: 11, 10: 4}, ("SumOfEvens", 8, 8): {40: 14996, 38: 10354, 46: 13670, 42: 16214, 48: 9039, 30: 2458, 32: 3565, 36: 8996, 44: 11803, 34: 6358, 26: 611, 28: 1321, 24: 352, 22: 163, 18: 36, 20: 51, 16: 6, 14: 3, 10: 4}, ("DoubleThreesAndFours", 1, 1): {6: 16591, 8: 16660, 0: 66749}, ("DoubleThreesAndFours", 1, 2): {0: 44675, 6: 27694, 8: 27631}, ("DoubleThreesAndFours", 1, 3): {8: 35147, 6: 35261, 0: 29592}, ("DoubleThreesAndFours", 1, 4): {8: 45993, 0: 24601, 6: 29406}, ("DoubleThreesAndFours", 1, 5): {0: 20499, 8: 55081, 6: 24420}, ("DoubleThreesAndFours", 1, 6): {8: 62657, 6: 20227, 0: 17116}, ("DoubleThreesAndFours", 1, 7): {8: 68747, 6: 17060, 0: 14193}, ("DoubleThreesAndFours", 1, 8): {6: 13924, 8: 74099, 0: 11977}, ("DoubleThreesAndFours", 2, 1): {0: 44382, 6: 22191, 14: 5568, 12: 2892, 8: 22251, 16: 2716}, ("DoubleThreesAndFours", 2, 2): {14: 15403, 0: 19720, 6: 24652, 12: 7693, 8: 24891, 16: 7641}, ("DoubleThreesAndFours", 2, 3): {8: 20929, 14: 24721, 16: 12376, 0: 8765, 12: 12201, 6: 21008}, ("DoubleThreesAndFours", 2, 4): {14: 26935, 6: 14466, 16: 21136, 8: 22828, 12: 8471, 0: 6164}, ("DoubleThreesAndFours", 2, 5): {8: 22620, 14: 26822, 12: 6057, 16: 30189, 6: 10005, 0: 4307}, ("DoubleThreesAndFours", 2, 6): {14: 25326, 16: 39078, 0: 2879, 12: 4204, 8: 21466, 6: 7047}, ("DoubleThreesAndFours", 2, 7): {16: 47373, 8: 19698, 14: 23404, 6: 4637, 12: 2846, 0: 2042}, 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4244, 0: 293, 12: 1190, 18: 449}, ("DoubleThreesAndFours", 3, 8): {22: 23158, 24: 40426, 20: 4456, 16: 19616, 6: 598, 14: 7514, 8: 3029, 12: 736, 18: 289, 0: 178}, ("DoubleThreesAndFours", 4, 1): {0: 19809, 22: 3661, 6: 19538, 14: 14835, 8: 19765, 16: 7377, 12: 7513, 20: 3787, 24: 1312, 18: 1239, 28: 426, 30: 317, 32: 89, 26: 332}, ("DoubleThreesAndFours", 4, 2): {14: 18494, 12: 9152, 8: 9681, 6: 9759, 32: 582, 20: 11442, 24: 4411, 16: 9182, 22: 11245, 28: 3481, 30: 2486, 18: 3796, 26: 2317, 0: 3972}, ("DoubleThreesAndFours", 4, 3): {30: 6209, 16: 6563, 20: 15371, 26: 6250, 14: 12957, 32: 1553, 22: 15441, 18: 5181, 28: 9263, 24: 6812, 12: 6446, 6: 3580, 8: 3629, 0: 745}, ("DoubleThreesAndFours", 4, 4): {22: 18508, 14: 10057, 30: 11372, 20: 11583, 16: 7710, 24: 10280, 26: 4741, 18: 2466, 6: 1737, 28: 10883, 32: 4475, 8: 2754, 0: 371, 12: 3063}, ("DoubleThreesAndFours", 4, 5): {30: 16244, 28: 10930, 24: 14117, 14: 6844, 12: 1523, 32: 9165, 8: 1901, 6: 827, 22: 18097, 16: 7733, 0: 163, 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10836, 32: 6720, 42: 4836, 36: 12511, 40: 5366, 26: 4164, 44: 5640, 46: 3626, 34: 7926, 24: 3611, 28: 10039, 20: 3603, 6: 160, 22: 5673, 16: 1101, 48: 992, 8: 255, 12: 491, 0: 24}, ("DoubleThreesAndFours", 6, 5): {40: 7833, 28: 6985, 46: 7219, 36: 12190, 38: 14163, 34: 5449, 32: 7047, 30: 10494, 44: 8161, 24: 3099, 42: 4738, 26: 2099, 22: 3827, 48: 2739, 16: 877, 18: 244, 20: 1755, 14: 771, 0: 8, 12: 144, 8: 113, 6: 45}, ("DoubleThreesAndFours", 6, 6): {38: 16439, 44: 9477, 36: 10342, 40: 10795, 48: 5932, 30: 8697, 42: 4008, 26: 994, 46: 11631, 16: 539, 28: 4300, 22: 2383, 32: 7204, 20: 762, 34: 3427, 24: 2528, 18: 96, 14: 311, 6: 19, 8: 60, 0: 4, 12: 52}, ("DoubleThreesAndFours", 6, 7): {32: 7113, 42: 3210, 44: 9660, 46: 15581, 38: 16374, 48: 10353, 40: 13795, 30: 6708, 36: 8028, 24: 1921, 34: 1922, 20: 355, 28: 2646, 26: 437, 22: 1401, 16: 278, 14: 145, 8: 28, 18: 31, 6: 2, 12: 11, 0: 1}, ("DoubleThreesAndFours", 6, 8): {46: 18638, 30: 4988, 40: 16076, 24: 1352, 38: 15017, 48: 16432, 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81, 16: 60, 18: 9, 14: 27, 12: 5, 8: 5, 6: 2}, ("DoubleThreesAndFours", 7, 8): {56: 12116, 52: 9418, 38: 6452, 48: 14055, 32: 1809, 54: 16183, 30: 1357, 50: 3002, 36: 2363, 46: 15616, 40: 6757, 42: 1859, 44: 7554, 24: 285, 16: 30, 34: 481, 22: 175, 14: 10, 28: 379, 20: 42, 26: 55, 8: 1, 12: 1}, ("DoubleThreesAndFours", 8, 1): {24: 4614, 16: 6920, 34: 2175, 14: 13657, 30: 4504, 0: 3982, 20: 10167, 12: 6731, 22: 10162, 36: 2120, 28: 6414, 32: 2079, 18: 3314, 26: 4302, 6: 7946, 8: 7712, 44: 379, 38: 1218, 40: 633, 42: 533, 50: 59, 48: 108, 46: 204, 56: 7, 52: 39, 60: 1, 54: 15, 58: 5}, ("DoubleThreesAndFours", 8, 2): {30: 7306, 42: 5074, 28: 9769, 44: 4004, 26: 6631, 40: 4617, 12: 1685, 20: 6475, 22: 6445, 50: 1654, 36: 8364, 32: 5644, 16: 1623, 14: 3393, 46: 2396, 6: 749, 34: 8035, 24: 3639, 38: 5473, 54: 537, 18: 2090, 48: 1840, 52: 1069, 8: 735, 58: 188, 62: 29, 56: 294, 0: 161, 60: 80, 64: 1}, ("DoubleThreesAndFours", 8, 3): {44: 8078, 34: 8086, 42: 9356, 36: 8106, 38: 6904, 28: 4918, 40: 7729, 30: 4044, 32: 4752, 46: 5989, 50: 5725, 52: 4060, 48: 6119, 58: 1298, 54: 2440, 24: 1345, 22: 1657, 26: 3379, 20: 1620, 56: 1856, 18: 582, 6: 58, 14: 525, 64: 31, 62: 167, 60: 670, 8: 53, 12: 214, 16: 233, 0: 6}, ("DoubleThreesAndFours", 8, 4): {42: 8437, 48: 6657, 44: 10354, 54: 4862, 36: 7211, 34: 4515, 50: 7755, 52: 7763, 56: 3204, 60: 2271, 30: 3188, 20: 611, 46: 8005, 38: 6651, 32: 2521, 40: 5753, 58: 2769, 22: 950, 24: 729, 26: 1214, 28: 2819, 16: 151, 62: 1044, 14: 161, 18: 137, 64: 176, 12: 56, 8: 22, 0: 1, 6: 13}, ("DoubleThreesAndFours", 8, 5): {52: 10531, 60: 4703, 54: 8556, 40: 4470, 44: 9760, 36: 4863, 18: 29, 42: 5705, 50: 7637, 58: 4174, 48: 6812, 28: 1342, 56: 4701, 46: 9599, 30: 2068, 64: 852, 38: 5795, 62: 3095, 24: 376, 32: 1531, 22: 458, 34: 2192, 26: 394, 16: 60, 20: 226, 12: 12, 14: 51, 8: 6, 6: 2}, ("DoubleThreesAndFours", 8, 6): {62: 6075, 44: 7896, 50: 6139, 54: 12058, 60: 6904, 64: 2228, 58: 4472, 38: 4423, 46: 9936, 48: 6877, 52: 11631, 56: 6986, 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4: 16079, 0: 25316}, ("QuadrupleOnesAndTwos", 1, 6): {0: 21505, 8: 65258, 4: 13237}, ("QuadrupleOnesAndTwos", 1, 7): {0: 17676, 8: 71224, 4: 11100}, ("QuadrupleOnesAndTwos", 1, 8): {0: 14971, 8: 75706, 4: 9323}, ("QuadrupleOnesAndTwos", 2, 1): {0: 44566, 4: 22273, 8: 24842, 16: 2834, 12: 5485}, ("QuadrupleOnesAndTwos", 2, 2): {0: 19963, 12: 15172, 16: 7713, 4: 24890, 8: 32262}, ("QuadrupleOnesAndTwos", 2, 3): {0: 13766, 8: 34907, 16: 15630, 4: 17158, 12: 18539}, ("QuadrupleOnesAndTwos", 2, 4): {8: 34465, 12: 19108, 16: 24903, 0: 9543, 4: 11981}, ("QuadrupleOnesAndTwos", 2, 5): {16: 34144, 4: 8302, 8: 32470, 12: 18612, 0: 6472}, ("QuadrupleOnesAndTwos", 2, 6): {16: 42762, 8: 29716, 12: 17216, 0: 4569, 4: 5737}, ("QuadrupleOnesAndTwos", 2, 7): {12: 15756, 16: 50635, 8: 26489, 4: 3974, 0: 3146}, ("QuadrupleOnesAndTwos", 2, 8): {12: 14167, 16: 57266, 0: 2265, 8: 23578, 4: 2724}, ("QuadrupleOnesAndTwos", 3, 1): {12: 11557, 0: 29440, 8: 27747, 4: 22574, 16: 6892, 24: 459, 20: 1331}, ("QuadrupleOnesAndTwos", 3, 2): {8: 26434, 0: 8857, 12: 22986, 4: 16295, 16: 16799, 24: 2148, 20: 6481}, ("QuadrupleOnesAndTwos", 3, 3): {20: 11167, 12: 21685, 4: 9447, 0: 5063, 16: 24084, 8: 22255, 24: 6299}, ("QuadrupleOnesAndTwos", 3, 4): {24: 12448, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 0: 2864}, ("QuadrupleOnesAndTwos", 3, 5): {16: 30427, 24: 19843, 12: 14755, 8: 13478, 20: 16602, 0: 1676, 4: 3219}, ("QuadrupleOnesAndTwos", 3, 6): {24: 27625, 12: 11326, 16: 31125, 4: 1758, 8: 10259, 20: 16984, 0: 923}, ("QuadrupleOnesAndTwos", 3, 7): {24: 35548, 12: 8769, 16: 29367, 20: 17085, 0: 586, 8: 7543, 4: 1102}, ("QuadrupleOnesAndTwos", 3, 8): {24: 43483, 20: 16170, 12: 6388, 16: 27741, 8: 5277, 4: 607, 0: 334}, ("QuadrupleOnesAndTwos", 4, 1): {12: 16126, 20: 3979, 0: 19691, 8: 27288, 4: 19657, 16: 11167, 24: 1705, 28: 307, 32: 80}, ("QuadrupleOnesAndTwos", 4, 2): {4: 9776, 8: 19015, 16: 20986, 12: 22094, 0: 4023, 20: 13805, 24: 7340, 28: 2393, 32: 568}, ("QuadrupleOnesAndTwos", 4, 3): {12: 16853, 4: 4705, 0: 1848, 16: 22831, 8: 12411, 28: 5902, 20: 18400, 32: 2570, 24: 14480}, ("QuadrupleOnesAndTwos", 4, 4): {16: 21220, 24: 20615, 12: 12063, 20: 19266, 4: 2291, 0: 930, 32: 6088, 8: 8084, 28: 9443}, ("QuadrupleOnesAndTwos", 4, 5): {24: 25474, 20: 17910, 32: 11370, 28: 12864, 16: 18209, 12: 7649, 0: 424, 8: 4963, 4: 1137}, ("QuadrupleOnesAndTwos", 4, 6): {32: 18156, 24: 28256, 20: 15416, 12: 4931, 28: 14675, 16: 14796, 8: 3048, 4: 532, 0: 190}, ("QuadrupleOnesAndTwos", 4, 7): {20: 12289, 12: 3189, 28: 16052, 32: 25512, 24: 29181, 16: 11547, 8: 1871, 4: 244, 0: 115}, ("QuadrupleOnesAndTwos", 4, 8): {24: 28785, 32: 33333, 16: 8888, 28: 16180, 12: 1909, 20: 9679, 8: 1062, 4: 114, 0: 50}, ("QuadrupleOnesAndTwos", 5, 1): {0: 13112, 8: 24718, 4: 16534, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1194, 32: 390, 36: 66, 40: 16}, ("QuadrupleOnesAndTwos", 5, 2): {4: 5529, 20: 18149, 12: 17687, 24: 12849, 16: 20808, 28: 6991, 32: 2980, 36: 871, 8: 12216, 0: 1764, 40: 156}, ("QuadrupleOnesAndTwos", 5, 3): {36: 2946, 24: 18643, 32: 7960, 20: 19002, 28: 12827, 12: 11074, 16: 17322, 8: 6362, 4: 2161, 0: 719, 40: 984}, ("QuadrupleOnesAndTwos", 5, 4): {32: 14218, 40: 2982, 28: 16398, 4: 847, 24: 20749, 16: 12913, 20: 15867, 36: 5931, 12: 6581, 8: 3209, 0: 305}, ("QuadrupleOnesAndTwos", 5, 5): {40: 6767, 24: 20010, 36: 9319, 20: 12037, 16: 8863, 32: 19789, 28: 17568, 4: 340, 8: 1729, 12: 3480, 0: 98}, ("QuadrupleOnesAndTwos", 5, 6): {24: 17830, 36: 12115, 40: 11918, 20: 8436, 32: 24246, 16: 5734, 28: 16864, 12: 1793, 4: 156, 8: 870, 0: 38}, ("QuadrupleOnesAndTwos", 5, 7): {32: 27238, 36: 14094, 28: 14969, 24: 14936, 40: 17918, 20: 5684, 16: 3712, 12: 924, 8: 445, 4: 51, 0: 29}, ("QuadrupleOnesAndTwos", 5, 8): {28: 12517, 36: 15339, 32: 28388, 40: 25046, 24: 11929, 16: 2344, 20: 3690, 12: 481, 8: 241, 4: 21, 0: 4}, ("QuadrupleOnesAndTwos", 6, 1): {4: 13011, 8: 21357, 24: 6249, 0: 8646, 16: 17008, 12: 19385, 20: 10409, 28: 2502, 36: 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5, 3): {30: 53966, 0: 46034}, ("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, ("OneTwoOneConsecutive", 5, 6): {30: 76850, 0: 23150}, ("OneTwoOneConsecutive", 5, 7): {30: 80423, 0: 19577}, ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, ("OneTwoOneConsecutive", 7, 5): {30: 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("ThreeDistinctDice", 2, 2): {0: 100000}, ("ThreeDistinctDice", 2, 3): {0: 100000}, ("ThreeDistinctDice", 2, 4): {0: 100000}, ("ThreeDistinctDice", 2, 5): {0: 100000}, ("ThreeDistinctDice", 2, 6): {0: 100000}, ("ThreeDistinctDice", 2, 7): {0: 100000}, ("ThreeDistinctDice", 2, 8): {0: 100000}, ("ThreeDistinctDice", 3, 1): {20: 55293, 0: 44707}, ("ThreeDistinctDice", 3, 2): {0: 15078, 20: 84922}, ("ThreeDistinctDice", 3, 3): {20: 94944, 0: 5056}, ("ThreeDistinctDice", 3, 4): {0: 1688, 20: 98312}, ("ThreeDistinctDice", 3, 5): {20: 99484, 0: 516}, ("ThreeDistinctDice", 3, 6): {20: 99818, 0: 182}, ("ThreeDistinctDice", 3, 7): {20: 99944, 0: 56}, ("ThreeDistinctDice", 3, 8): {20: 99985, 0: 15}, ("ThreeDistinctDice", 4, 1): {20: 83279, 0: 16721}, ("ThreeDistinctDice", 4, 2): {20: 98174, 0: 1826}, ("ThreeDistinctDice", 4, 3): {20: 99797, 0: 203}, ("ThreeDistinctDice", 4, 4): {20: 99982, 0: 18}, ("ThreeDistinctDice", 4, 5): {20: 99997, 0: 3}, ("ThreeDistinctDice", 4, 6): {20: 100000}, ("ThreeDistinctDice", 4, 7): {20: 100000}, ("ThreeDistinctDice", 4, 8): {20: 100000}, ("ThreeDistinctDice", 5, 1): {0: 5904, 20: 94096}, ("ThreeDistinctDice", 5, 2): {20: 99764, 0: 236}, ("ThreeDistinctDice", 5, 3): {20: 99988, 0: 12}, ("ThreeDistinctDice", 5, 4): {20: 100000}, ("ThreeDistinctDice", 5, 5): {20: 100000}, ("ThreeDistinctDice", 5, 6): {20: 100000}, ("ThreeDistinctDice", 5, 7): {20: 100000}, ("ThreeDistinctDice", 5, 8): {20: 100000}, ("ThreeDistinctDice", 6, 1): {20: 98008, 0: 1992}, ("ThreeDistinctDice", 6, 2): {20: 99979, 0: 21}, ("ThreeDistinctDice", 6, 3): {20: 100000}, ("ThreeDistinctDice", 6, 4): {20: 100000}, ("ThreeDistinctDice", 6, 5): {20: 100000}, ("ThreeDistinctDice", 6, 6): {20: 100000}, ("ThreeDistinctDice", 6, 7): {20: 100000}, ("ThreeDistinctDice", 6, 8): {20: 100000}, ("ThreeDistinctDice", 7, 1): {20: 99308, 0: 692}, ("ThreeDistinctDice", 7, 2): {20: 99996, 0: 4}, ("ThreeDistinctDice", 7, 3): {20: 100000}, ("ThreeDistinctDice", 7, 4): {20: 100000}, ("ThreeDistinctDice", 7, 5): {20: 100000}, ("ThreeDistinctDice", 7, 6): {20: 100000}, ("ThreeDistinctDice", 7, 7): {20: 100000}, ("ThreeDistinctDice", 7, 8): {20: 100000}, ("ThreeDistinctDice", 8, 1): {20: 99757, 0: 243}, ("ThreeDistinctDice", 8, 2): {20: 99999, 0: 1}, ("ThreeDistinctDice", 8, 3): {20: 100000}, ("ThreeDistinctDice", 8, 4): {20: 100000}, ("ThreeDistinctDice", 8, 5): {20: 100000}, ("ThreeDistinctDice", 8, 6): {20: 100000}, ("ThreeDistinctDice", 8, 7): {20: 100000}, ("ThreeDistinctDice", 8, 8): {20: 100000}, ("TwoPair", 1, 1): {0: 100000}, ("TwoPair", 1, 2): {0: 100000}, ("TwoPair", 1, 3): {0: 100000}, ("TwoPair", 1, 4): {0: 100000}, ("TwoPair", 1, 5): {0: 100000}, ("TwoPair", 1, 6): {0: 100000}, ("TwoPair", 1, 7): {0: 100000}, ("TwoPair", 1, 8): {0: 100000}, ("TwoPair", 2, 1): {0: 100000}, ("TwoPair", 2, 2): {0: 100000}, ("TwoPair", 2, 3): {0: 100000}, ("TwoPair", 2, 4): {0: 100000}, ("TwoPair", 2, 5): {0: 100000}, ("TwoPair", 2, 6): {0: 100000}, ("TwoPair", 2, 7): {0: 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("Distincts", 1, 5): {1: 100000}, ("Distincts", 1, 6): {1: 100000}, ("Distincts", 1, 7): {1: 100000}, ("Distincts", 1, 8): {1: 100000}, ("Distincts", 2, 1): {2: 83196, 1: 16804}, ("Distincts", 2, 2): {2: 97314, 1: 2686}, ("Distincts", 2, 3): {2: 99537, 1: 463}, ("Distincts", 2, 4): {2: 99934, 1: 66}, ("Distincts", 2, 5): {2: 99989, 1: 11}, ("Distincts", 2, 6): {2: 99999, 1: 1}, ("Distincts", 2, 7): {2: 100000}, ("Distincts", 2, 8): {2: 100000}, ("Distincts", 3, 1): {2: 41714, 3: 55526, 1: 2760}, ("Distincts", 3, 2): {2: 14936, 3: 84986, 1: 78}, ("Distincts", 3, 3): {3: 95134, 2: 4865, 1: 1}, ("Distincts", 3, 4): {3: 98341, 2: 1659}, ("Distincts", 3, 5): {3: 99425, 2: 575}, ("Distincts", 3, 6): {3: 99800, 2: 200}, ("Distincts", 3, 7): {3: 99931, 2: 69}, ("Distincts", 3, 8): {3: 99978, 2: 22}, ("Distincts", 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, ("Distincts", 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, ("Distincts", 4, 3): {4: 80139, 3: 19631, 2: 230}, ("Distincts", 4, 4): {4: 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120}, ("TwosAndThrees", 4, 1): {3: 19811, 9: 1565, 2: 19764, 0: 19619, 6: 8721, 5: 14893, 4: 7306, 8: 3801, 11: 319, 7: 3672, 12: 60, 10: 469}, ("TwosAndThrees", 4, 2): {2: 9519, 9: 6678, 5: 15873, 6: 18083, 7: 3876, 8: 8667, 3: 20826, 0: 9395, 4: 3581, 12: 830, 10: 1077, 11: 1595}, ("TwosAndThrees", 4, 3): {12: 3245, 3: 16598, 8: 11445, 5: 12541, 2: 4676, 6: 23294, 0: 4538, 11: 3442, 4: 1694, 10: 1454, 9: 14017, 7: 3056}, ("TwosAndThrees", 4, 4): {8: 11841, 12: 7183, 6: 24218, 3: 11827, 9: 21496, 11: 5412, 10: 1447, 4: 827, 7: 2251, 5: 9096, 0: 2183, 2: 2219}, ("TwosAndThrees", 4, 5): {5: 6024, 9: 27693, 8: 11169, 12: 12776, 3: 7946, 10: 1428, 6: 22064, 2: 1078, 11: 6926, 0: 987, 4: 381, 7: 1528}, ("TwosAndThrees", 4, 6): {9: 31606, 5: 3815, 8: 9649, 11: 7894, 3: 5070, 12: 19495, 6: 19042, 10: 1243, 2: 514, 7: 971, 0: 530, 4: 171}, ("TwosAndThrees", 4, 7): {6: 15556, 3: 3337, 9: 33379, 12: 26771, 5: 2427, 11: 8601, 2: 239, 8: 7881, 10: 918, 0: 224, 7: 584, 4: 83}, ("TwosAndThrees", 4, 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14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ("TwosAndThrees", 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ("TwosAndThrees", 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ("TwosAndThrees", 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ("TwosAndThrees", 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ("TwosAndThrees", 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ("TwosAndThrees", 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ("TwosAndThrees", 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ("TwosAndThrees", 6, 6): {11: 8492, 15: 21066, 12: 21369, 17: 5246, 6: 3342, 16: 1335, 14: 10649, 8: 3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ("TwosAndThrees", 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ("TwosAndThrees", 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 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11: 8026, 12: 15164, 16: 2851, 8: 3249, 14: 11317, 13: 3008, 19: 1041, 4: 47, 7: 426, 10: 1653, 3: 478, 2: 56, 0: 40}, ("TwosAndThrees", 7, 6): {12: 13233, 14: 10114, 18: 16405, 15: 19936, 16: 2451, 21: 5650, 6: 1331, 20: 4044, 17: 9948, 11: 5449, 10: 827, 9: 5335, 19: 1171, 13: 1883, 8: 1584, 7: 180, 5: 249, 3: 166, 2: 18, 0: 9, 4: 17}, ("TwosAndThrees", 7, 7): {17: 10123, 20: 5583, 18: 22122, 15: 20423, 14: 7969, 21: 10113, 12: 10638, 11: 3321, 9: 3282, 16: 1910, 13: 1273, 19: 1293, 6: 591, 8: 779, 7: 55, 5: 86, 3: 59, 10: 368, 2: 4, 0: 6, 4: 2}, ("TwosAndThrees", 7, 8): {17: 9621, 21: 15780, 20: 6667, 12: 7854, 18: 26592, 14: 5885, 15: 19476, 5: 36, 8: 318, 19: 1247, 16: 1458, 9: 1983, 11: 1880, 13: 707, 6: 249, 10: 197, 7: 19, 3: 27, 2: 2, 0: 2}, ("TwosAndThrees", 8, 1): {12: 3210, 0: 3799, 7: 10309, 5: 13610, 10: 6648, 6: 10144, 3: 7840, 2: 7917, 9: 7504, 8: 11477, 4: 6794, 13: 2299, 11: 5342, 14: 1498, 16: 444, 15: 738, 17: 245, 19: 51, 18: 105, 20: 20, 21: 4, 22: 1, 23: 1}, 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30}, ("TwosAndThrees", 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ("TwosAndThrees", 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ("TwosAndThrees", 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ("SumOfOdds", 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ("SumOfOdds", 1, 2): {0: 33472, 3: 27886, 1: 11017, 5: 27625}, ("SumOfOdds", 1, 3): {0: 27892, 5: 39809, 1: 9293, 3: 23006}, ("SumOfOdds", 1, 4): {3: 19299, 5: 49784, 0: 23060, 1: 7857}, ("SumOfOdds", 1, 5): {5: 58167, 3: 15941, 1: 6559, 0: 19333}, ("SumOfOdds", 1, 6): {5: 65098, 0: 16250, 1: 5428, 3: 13224}, ("SumOfOdds", 1, 7): {5: 70969, 3: 11191, 0: 13420, 1: 4420}, ("SumOfOdds", 1, 8): {5: 75949, 0: 11042, 3: 9361, 1: 3648}, ("SumOfOdds", 2, 1): {5: 16856, 8: 5540, 6: 8312, 4: 5580, 0: 24611, 1: 16800, 3: 16654, 2: 2815, 10: 2832}, ("SumOfOdds", 2, 2): {8: 15414, 3: 18386, 6: 13858, 0: 11216, 4: 6190, 5: 18558, 10: 7773, 1: 7355, 2: 1250}, ("SumOfOdds", 2, 3): {1: 5252, 6: 12709, 3: 12782, 8: 18363, 5: 22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ("SumOfOdds", 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ("SumOfOdds", 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 33791, 8: 18712, 2: 415, 6: 10020, 1: 2502}, ("SumOfOdds", 2, 6): {0: 2606, 8: 17272, 6: 8852, 10: 42502, 3: 4279, 5: 20970, 1: 1769, 4: 1468, 2: 282}, ("SumOfOdds", 2, 7): {5: 19160, 8: 15860, 6: 7664, 10: 50054, 1: 1225, 3: 2939, 4: 1039, 0: 1872, 2: 187}, ("SumOfOdds", 2, 8): {5: 16853, 8: 14179, 10: 57618, 3: 2121, 6: 6400, 1: 781, 0: 1230, 4: 671, 2: 147}, ("SumOfOdds", 3, 1): {4: 8109, 5: 13902, 2: 4149, 8: 8321, 6: 12607, 1: 12587, 7: 2743, 3: 12861, 0: 12467, 9: 3339, 10: 4223, 11: 2801, 15: 479, 13: 1412}, ("SumOfOdds", 3, 2): {8: 15592, 1: 3633, 5: 10240, 13: 6362, 3: 9469, 10: 7709, 15: 2120, 6: 13852, 11: 9070, 9: 7284, 4: 6110, 7: 3557, 0: 3750, 2: 1252}, ("SumOfOdds", 3, 3): {6: 10744, 10: 13273, 7: 2564, 8: 15277, 3: 5427, 13: 11044, 11: 10759, 5: 9729, 15: 6204, 1: 2180, 9: 6354, 4: 3603, 0: 2140, 2: 702}, ("SumOfOdds", 3, 4): {8: 13319, 6: 7837, 11: 11288, 9: 5211, 13: 14216, 15: 12408, 4: 2122, 3: 3247, 10: 17343, 7: 1738, 5: 8380, 1: 1212, 0: 1265, 2: 414}, ("SumOfOdds", 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ("SumOfOdds", 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ("SumOfOdds", 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ("SumOfOdds", 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ("SumOfOdds", 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 299, 20: 78}, ("SumOfOdds", 4, 2): {7: 4928, 20: 589, 9: 9721, 14: 5301, 18: 2447, 13: 8342, 10: 7201, 4: 4099, 8: 11060, 15: 2925, 6: 9467, 3: 4253, 11: 11978, 12: 3975, 1: 1599, 16: 4530, 5: 5463, 0: 1267, 2: 855}, ("SumOfOdds", 4, 3): {15: 7108, 8: 9018, 10: 8843, 20: 2524, 18: 5690, 16: 7373, 9: 7238, 11: 11998, 12: 3466, 13: 12173, 14: 5857, 4: 2033, 6: 5991, 1: 817, 2: 382, 3: 2070, 5: 4051, 0: 579, 7: 2789}, ("SumOfOdds", 4, 4): {5: 2645, 14: 5928, 8: 6372, 11: 10474, 13: 13555, 12: 2765, 16: 9426, 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3092, 4: 7062, 0: 3061, 13: 4040, 3: 6431, 1: 5196, 17: 609, 12: 3785, 15: 1883, 19: 406, 2: 3389, 18: 788, 21: 205, 20: 172, 23: 48, 25: 19}, ("SumOfOdds", 5, 2): {4: 2325, 12: 6880, 21: 1941, 5: 2829, 17: 3048, 18: 4003, 11: 10285, 16: 7538, 14: 8806, 9: 8227, 8: 6951, 3: 1889, 7: 4166, 13: 8344, 10: 6439, 1: 723, 6: 5351, 19: 2919, 15: 4531, 0: 421, 23: 787, 20: 977, 2: 455, 25: 165}, ("SumOfOdds", 5, 3): {13: 9355, 7: 1955, 15: 6633, 23: 2922, 10: 5293, 9: 5007, 8: 4456, 11: 8533, 5: 1584, 16: 10471, 14: 8325, 18: 8174, 6: 2861, 21: 4463, 12: 4910, 3: 715, 19: 4741, 25: 1017, 20: 3505, 17: 3498, 4: 938, 1: 292, 2: 179, 0: 173}, ("SumOfOdds", 5, 4): {15: 8218, 10: 4157, 11: 6088, 21: 7049, 6: 1464, 18: 10977, 9: 2814, 12: 3036, 17: 3222, 23: 5968, 16: 10748, 13: 8276, 19: 5463, 20: 7264, 14: 6799, 3: 322, 8: 2685, 7: 929, 25: 3023, 5: 899, 4: 353, 0: 60, 2: 65, 1: 121}, ("SumOfOdds", 5, 5): {23: 9242, 21: 8982, 18: 12099, 16: 9890, 13: 6376, 14: 5000, 7: 416, 15: 8283, 25: 6730, 10: 2969, 20: 11138, 19: 5449, 11: 4198, 17: 2686, 8: 1446, 6: 749, 9: 1508, 12: 1961, 5: 490, 4: 169, 3: 124, 2: 23, 1: 40, 0: 32}, ("SumOfOdds", 5, 6): {16: 8471, 14: 3473, 15: 7862, 20: 14372, 18: 11813, 23: 11945, 13: 4540, 25: 11854, 17: 2176, 21: 9884, 19: 5053, 7: 214, 11: 2724, 10: 2039, 12: 1252, 5: 265, 8: 764, 9: 796, 6: 351, 3: 52, 0: 14, 4: 51, 2: 10, 1: 25}, ("SumOfOdds", 5, 7): {21: 10043, 15: 6797, 18: 10646, 20: 17146, 16: 6743, 23: 14100, 25: 18070, 14: 2413, 13: 3129, 17: 1582, 11: 1707, 19: 4232, 10: 1317, 12: 758, 8: 419, 9: 393, 7: 117, 6: 212, 0: 4, 5: 121, 3: 14, 4: 29, 1: 5, 2: 3}, ("SumOfOdds", 5, 8): {19: 3530, 25: 25173, 16: 5196, 14: 1481, 23: 15254, 20: 18491, 21: 9907, 18: 8924, 15: 5707, 11: 1045, 17: 1194, 13: 2121, 9: 226, 12: 432, 10: 885, 8: 209, 6: 87, 5: 73, 3: 11, 7: 43, 2: 2, 4: 7, 0: 2}, ("SumOfOdds", 6, 1): {3: 4224, 8: 8145, 5: 6613, 7: 7139, 11: 8130, 4: 5575, 1: 3156, 12: 5541, 14: 4722, 18: 1450, 15: 3188, 6: 9118, 9: 8689, 10: 7075, 16: 3201, 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15}, ("SumOfOdds", 6, 5): {11: 1732, 24: 5058, 10: 938, 19: 6276, 14: 2902, 23: 10694, 30: 3884, 28: 6388, 26: 7087, 25: 7754, 8: 448, 22: 2967, 16: 5943, 15: 4038, 21: 10212, 20: 7845, 18: 7634, 17: 3138, 12: 1215, 13: 2669, 4: 46, 9: 598, 5: 100, 6: 204, 3: 28, 7: 171, 0: 13, 2: 9, 1: 9}, ("SumOfOdds", 6, 6): {18: 6055, 28: 9447, 25: 11411, 16: 4061, 14: 1658, 30: 7796, 23: 11565, 21: 9505, 4: 19, 19: 4880, 24: 5317, 26: 8543, 20: 7981, 15: 2949, 17: 1975, 13: 1594, 11: 893, 22: 2547, 9: 239, 12: 598, 10: 551, 5: 59, 8: 174, 6: 80, 7: 90, 3: 8, 2: 3, 0: 1, 1: 1}, ("SumOfOdds", 6, 7): {28: 12043, 23: 11329, 18: 4376, 20: 7612, 25: 14467, 26: 9526, 30: 12675, 11: 449, 13: 945, 19: 3515, 21: 8189, 15: 2047, 22: 2096, 16: 2827, 24: 4812, 14: 872, 17: 1300, 10: 331, 7: 22, 9: 105, 12: 297, 8: 92, 4: 6, 3: 3, 6: 41, 5: 19, 2: 2, 0: 1, 1: 1}, ("SumOfOdds", 6, 8): {30: 19239, 24: 4175, 25: 16723, 28: 13964, 20: 6522, 21: 6637, 26: 10048, 23: 10221, 19: 2288, 17: 774, 18: 3153, 15: 1389, 11: 234, 16: 1736, 22: 1566, 14: 492, 13: 439, 12: 124, 10: 167, 6: 19, 8: 30, 9: 41, 4: 2, 5: 6, 7: 8, 2: 1, 3: 1, 0: 1}, ("SumOfOdds", 7, 1): {9: 8090, 4: 3909, 8: 7190, 14: 6179, 12: 6713, 5: 4975, 11: 8138, 21: 1127, 6: 6784, 10: 7566, 17: 3068, 1: 1789, 15: 4550, 24: 380, 13: 6122, 3: 2703, 19: 2017, 16: 4253, 7: 6543, 22: 680, 18: 2417, 2: 1824, 23: 463, 20: 1268, 0: 802, 26: 155, 25: 164, 27: 56, 31: 7, 28: 44, 29: 18, 30: 5, 33: 1}, ("SumOfOdds", 7, 2): {19: 7499, 10: 3348, 7: 1563, 16: 7542, 17: 7455, 22: 4462, 23: 2985, 20: 5062, 4: 563, 27: 990, 18: 6139, 11: 5041, 13: 5634, 15: 6277, 12: 5532, 24: 3432, 6: 1341, 26: 1867, 29: 691, 21: 5434, 14: 7465, 8: 2287, 9: 3363, 25: 1595, 31: 298, 3: 298, 5: 723, 0: 40, 33: 99, 30: 113, 28: 649, 1: 111, 2: 91, 35: 11}, ("SumOfOdds", 7, 3): {21: 7920, 11: 2734, 13: 3610, 20: 5725, 17: 5660, 10: 1718, 29: 2008, 23: 5788, 26: 5052, 14: 4810, 19: 7837, 16: 6596, 18: 6591, 24: 6130, 15: 4550, 12: 2708, 25: 3421, 22: 5553, 27: 2110, 8: 962, 28: 2665, 6: 488, 5: 250, 4: 154, 31: 1350, 30: 762, 9: 1363, 7: 523, 33: 629, 35: 161, 1: 33, 0: 17, 2: 19, 3: 103}, ("SumOfOdds", 7, 4): {18: 5325, 20: 5489, 14: 2709, 25: 5310, 28: 5802, 24: 7375, 29: 3397, 16: 4487, 17: 3663, 15: 2790, 11: 1257, 23: 7672, 26: 8008, 19: 6437, 22: 5187, 9: 587, 27: 2827, 12: 1233, 21: 8147, 13: 2066, 31: 3220, 10: 716, 30: 2521, 8: 409, 33: 2088, 35: 770, 6: 165, 5: 81, 7: 180, 4: 41, 3: 25, 1: 8, 2: 6, 0: 2}, ("SumOfOdds", 7, 5): {24: 7133, 25: 7033, 33: 4414, 16: 2849, 28: 8687, 35: 2197, 13: 980, 31: 5303, 27: 3002, 21: 7246, 20: 4800, 15: 1670, 19: 4345, 23: 7919, 29: 4449, 26: 9503, 22: 3977, 18: 3857, 11: 599, 17: 2168, 30: 5183, 10: 346, 14: 1322, 8: 145, 12: 495, 6: 54, 9: 201, 7: 68, 5: 37, 4: 8, 3: 5, 0: 1, 2: 2, 1: 2}, ("SumOfOdds", 7, 6): {31: 7294, 28: 10769, 29: 5124, 25: 7570, 26: 9650, 20: 3690, 30: 8537, 24: 5818, 19: 2712, 21: 5469, 23: 7084, 33: 7232, 18: 2465, 35: 4969, 27: 2863, 17: 1177, 14: 665, 13: 480, 22: 2955, 15: 993, 11: 287, 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4873, 14: 10245, 0: 3192, 24: 605, 6: 13373, 20: 2581, 8: 13964, 26: 198, 28: 69, 22: 1363, 30: 10}, ("SumOfEvens", 5, 2): {16: 14674, 20: 9742, 12: 12184, 14: 13824, 18: 12124, 10: 9910, 6: 4054, 24: 4025, 22: 6877, 26: 2056, 8: 6336, 0: 405, 28: 808, 4: 2149, 2: 663, 30: 169}, ("SumOfEvens", 5, 3): {20: 15282, 10: 4446, 24: 9361, 16: 13128, 26: 5826, 12: 6558, 14: 10339, 8: 2217, 18: 14686, 22: 13294, 30: 532, 6: 1037, 28: 2644, 4: 501, 2: 88, 0: 61}, ("SumOfEvens", 5, 4): {24: 12896, 28: 6646, 18: 12724, 20: 14710, 16: 10437, 22: 16005, 26: 9761, 12: 4093, 14: 6555, 10: 2340, 4: 222, 30: 2105, 0: 18, 6: 471, 8: 992, 2: 25}, ("SumOfEvens", 5, 5): {24: 15490, 18: 10297, 16: 7635, 22: 16826, 28: 11323, 20: 12344, 26: 12235, 14: 4006, 30: 5102, 8: 464, 6: 259, 10: 1369, 12: 2559, 2: 12, 0: 7, 4: 72}, ("SumOfEvens", 5, 6): {24: 17286, 28: 15274, 16: 5274, 30: 9604, 18: 8224, 26: 13565, 22: 16041, 14: 2381, 20: 9688, 10: 671, 12: 1618, 8: 212, 6: 124, 4: 29, 2: 5, 0: 4}, ("SumOfEvens", 5, 7): {26: 13349, 20: 7478, 22: 13863, 16: 3465, 30: 15365, 24: 18114, 28: 19048, 18: 6367, 14: 1478, 6: 52, 12: 973, 8: 102, 10: 330, 4: 12, 0: 3, 2: 1}, ("SumOfEvens", 5, 8): {28: 21211, 30: 22142, 26: 12500, 24: 18376, 22: 11699, 20: 5406, 18: 4912, 14: 771, 16: 2197, 12: 537, 10: 172, 6: 22, 8: 45, 4: 9, 0: 1}, ("SumOfEvens", 6, 1): {12: 13855, 8: 11527, 6: 9535, 14: 12217, 10: 13220, 18: 7641, 20: 5155, 4: 5715, 16: 10036, 2: 3110, 22: 3134, 24: 1769, 0: 1657, 26: 882, 28: 364, 32: 46, 30: 125, 34: 9, 36: 3}, ("SumOfEvens", 6, 2): {16: 12112, 14: 10495, 18: 12962, 20: 12458, 22: 10842, 4: 936, 30: 1777, 12: 8107, 10: 5781, 24: 8362, 28: 3560, 26: 5714, 8: 3286, 34: 279, 6: 1999, 0: 149, 32: 841, 2: 295, 36: 45}, ("SumOfEvens", 6, 3): {34: 1114, 26: 11930, 28: 8967, 16: 7714, 18: 10098, 22: 13809, 24: 13594, 20: 12628, 10: 1732, 12: 3009, 30: 5778, 32: 3126, 14: 5066, 8: 774, 6: 309, 36: 205, 4: 127, 2: 12, 0: 8}, ("SumOfEvens", 6, 4): {16: 4678, 26: 13991, 20: 9551, 24: 13471, 18: 6764, 32: 6534, 4: 36, 34: 3599, 28: 12906, 22: 12530, 30: 9662, 10: 774, 14: 2613, 12: 1479, 36: 987, 2: 13, 8: 287, 6: 122, 0: 3}, ("SumOfEvens", 6, 5): {32: 9788, 24: 11810, 34: 7399, 30: 12927, 26: 13874, 28: 15232, 16: 2702, 18: 4392, 20: 6604, 22: 9916, 36: 2699, 14: 1416, 12: 740, 10: 322, 6: 51, 8: 108, 4: 15, 0: 2, 2: 3}, ("SumOfEvens", 6, 6): {26: 11838, 22: 7418, 30: 15534, 34: 11679, 36: 5973, 24: 9870, 28: 15982, 20: 4214, 32: 12014, 18: 2686, 12: 322, 10: 156, 8: 52, 14: 664, 16: 1568, 6: 26, 4: 2, 2: 1, 0: 1}, ("SumOfEvens", 6, 7): {30: 17083, 28: 15301, 22: 5154, 26: 9426, 32: 13001, 20: 2576, 34: 15604, 24: 8221, 36: 10524, 18: 1673, 16: 848, 14: 336, 12: 179, 10: 53, 6: 9, 8: 11, 4: 1}, ("SumOfEvens", 6, 8): {22: 3449, 36: 16329, 26: 7209, 32: 12842, 30: 18101, 34: 18840, 28: 13662, 20: 1500, 24: 6361, 18: 984, 16: 453, 14: 154, 12: 87, 10: 22, 8: 4, 4: 1, 6: 2}, ("SumOfEvens", 7, 1): {8: 8939, 24: 3564, 16: 11578, 12: 12690, 10: 11183, 18: 9725, 4: 3653, 6: 6451, 20: 7614, 14: 12463, 30: 591, 22: 5306, 28: 1178, 26: 2087, 32: 276, 0: 780, 2: 1804, 34: 79, 38: 9, 36: 28, 42: 1, 40: 1}, ("SumOfEvens", 7, 2): {20: 11747, 22: 12101, 18: 10694, 30: 4969, 34: 1637, 12: 4933, 28: 7140, 10: 3020, 16: 9103, 14: 7121, 26: 9407, 40: 95, 32: 2990, 24: 10947, 8: 1631, 6: 866, 36: 742, 38: 279, 4: 405, 2: 118, 0: 44, 42: 11}, ("SumOfEvens", 7, 3): {28: 12644, 18: 5753, 22: 10305, 30: 10884, 24: 12043, 34: 5494, 26: 13153, 32: 8457, 20: 8013, 36: 3227, 12: 1178, 16: 3620, 14: 2216, 38: 1526, 40: 457, 42: 73, 10: 585, 8: 255, 4: 32, 6: 78, 0: 4, 2: 3}, ("SumOfEvens", 7, 4): {34: 10022, 20: 4695, 36: 6630, 38: 4042, 30: 13018, 26: 11605, 24: 9234, 22: 6948, 32: 11907, 28: 12907, 40: 1978, 10: 212, 16: 1818, 18: 3010, 42: 424, 14: 940, 12: 482, 8: 84, 6: 33, 2: 3, 4: 7, 0: 1}, ("SumOfEvens", 7, 5): {34: 13412, 36: 10366, 24: 6303, 30: 12713, 26: 8816, 40: 4734, 22: 4347, 38: 7212, 32: 13273, 28: 11561, 20: 2543, 18: 1526, 42: 1564, 14: 395, 16: 920, 12: 186, 8: 31, 10: 80, 4: 4, 6: 14}, ("SumOfEvens", 7, 6): {40: 8464, 32: 12798, 36: 13346, 28: 9389, 38: 10011, 24: 4176, 34: 15385, 30: 11291, 26: 6057, 22: 2683, 42: 3605, 20: 1359, 18: 819, 14: 148, 16: 359, 10: 32, 12: 68, 8: 4, 6: 5, 4: 1}, ("SumOfEvens", 7, 7): {34: 15613, 18: 390, 42: 7149, 36: 15702, 38: 12021, 30: 9525, 40: 12478, 32: 11106, 26: 3913, 28: 7007, 20: 681, 24: 2671, 22: 1511, 14: 69, 16: 135, 8: 2, 12: 23, 10: 3, 6: 1}, ("SumOfEvens", 7, 8): {40: 16137, 26: 2459, 36: 16970, 30: 7669, 38: 12599, 32: 9076, 42: 12085, 34: 14812, 24: 1645, 28: 5058, 22: 824, 20: 339, 18: 204, 14: 24, 16: 77, 12: 18, 10: 4}, ("SumOfEvens", 8, 1): {24: 5501, 14: 11696, 26: 3771, 28: 2435, 16: 11862, 18: 11145, 10: 8598, 32: 813, 6: 4344, 0: 373, 12: 10648, 2: 1020, 22: 7414, 20: 9463, 8: 6532, 30: 1376, 4: 2316, 38: 73, 34: 408, 36: 180, 40: 24, 42: 4, 44: 3, 46: 1}, ("SumOfEvens", 8, 2): {38: 1519, 26: 10879, 16: 6135, 20: 9772, 30: 8043, 32: 6058, 28: 9711, 18: 7865, 24: 11148, 34: 4215, 22: 10922, 10: 1536, 14: 4098, 36: 2718, 12: 2761, 8: 772, 6: 386, 42: 342, 40: 769, 4: 141, 2: 45, 44: 107, 46: 37, 0: 17, 48: 4}, ("SumOfEvens", 8, 3): {30: 12249, 28: 11561, 24: 8306, 36: 7860, 16: 1616, 40: 3315, 22: 6221, 38: 5627, 34: 10070, 18: 2630, 32: 11747, 20: 4428, 26: 10158, 42: 1741, 14: 874, 44: 669, 12: 430, 46: 173, 10: 187, 8: 65, 4: 5, 6: 39, 48: 28, 2: 1}, ("SumOfEvens", 8, 4): {40: 7009, 34: 12243, 28: 9047, 32: 12344, 38: 9623, 30: 10811, 16: 621, 42: 4569, 26: 6864, 44: 2425, 18: 1160, 36: 11307, 22: 3304, 48: 216, 24: 4882, 10: 59, 46: 1035, 20: 1982, 14: 294, 6: 8, 12: 167, 8: 26, 2: 2, 4: 1, 0: 1}, ("SumOfEvens", 8, 5): {40: 10958, 36: 12458, 30: 8178, 34: 12180, 38: 12260, 24: 2712, 42: 7933, 28: 6229, 32: 10485, 14: 108, 22: 1654, 46: 2920, 26: 4229, 20: 918, 44: 5192, 48: 814, 16: 222, 18: 467, 8: 11, 6: 3, 4: 1, 10: 17, 12: 51}, ("SumOfEvens", 8, 6): {36: 12064, 48: 2382, 26: 2376, 24: 1455, 44: 8361, 28: 3916, 40: 13920, 42: 11359, 38: 12862, 32: 7846, 46: 5912, 30: 5727, 34: 10367, 18: 208, 16: 78, 22: 753, 20: 361, 14: 30, 10: 6, 12: 15, 6: 1, 8: 1}, ("SumOfEvens", 8, 7): {34: 8619, 42: 13899, 32: 5303, 36: 10651, 30: 3778, 46: 10004, 28: 2390, 38: 12089, 40: 14999, 44: 10574, 48: 5042, 8: 3, 26: 1228, 24: 767, 22: 381, 18: 74, 20: 152, 16: 27, 12: 5, 14: 11, 10: 4}, ("SumOfEvens", 8, 8): {40: 14996, 38: 10354, 46: 13670, 42: 16214, 48: 9039, 30: 2458, 32: 3565, 36: 8996, 44: 11803, 34: 6358, 26: 611, 28: 1321, 24: 352, 22: 163, 18: 36, 20: 51, 16: 6, 14: 3, 10: 4}, ("DoubleThreesAndFours", 1, 1): {6: 16591, 8: 16660, 0: 66749}, ("DoubleThreesAndFours", 1, 2): {0: 44675, 6: 27694, 8: 27631}, ("DoubleThreesAndFours", 1, 3): {8: 35147, 6: 35261, 0: 29592}, ("DoubleThreesAndFours", 1, 4): {8: 45993, 0: 24601, 6: 29406}, ("DoubleThreesAndFours", 1, 5): {0: 20499, 8: 55081, 6: 24420}, ("DoubleThreesAndFours", 1, 6): {8: 62657, 6: 20227, 0: 17116}, ("DoubleThreesAndFours", 1, 7): {8: 68747, 6: 17060, 0: 14193}, ("DoubleThreesAndFours", 1, 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4897, 32: 1409, 34: 1182, 36: 1226, 38: 668, 42: 226, 26: 3173, 46: 71, 48: 17, 50: 16, 54: 1, 52: 5}, ("DoubleThreesAndFours", 7, 2): {20: 8788, 12: 2776, 28: 11132, 44: 2245, 38: 4228, 34: 6959, 42: 2873, 18: 2867, 36: 7000, 32: 5286, 0: 357, 30: 7900, 40: 2927, 26: 7287, 16: 2846, 22: 8736, 46: 1083, 24: 4687, 14: 5631, 6: 1500, 48: 593, 8: 1462, 50: 446, 56: 17, 52: 276, 54: 98}, ("DoubleThreesAndFours", 7, 3): {42: 7821, 36: 10081, 34: 10088, 30: 6641, 38: 7494, 50: 2457, 28: 8269, 26: 5630, 32: 6333, 40: 6987, 52: 1356, 44: 6306, 20: 3613, 16: 593, 24: 2466, 48: 2709, 46: 3838, 18: 1218, 12: 568, 22: 3517, 6: 177, 8: 170, 54: 442, 14: 1144, 0: 14, 56: 68}, ("DoubleThreesAndFours", 7, 4): {46: 7244, 48: 4033, 30: 6379, 44: 10218, 20: 1553, 42: 8597, 28: 5838, 52: 3713, 38: 9398, 50: 3948, 32: 4601, 40: 6630, 36: 10741, 34: 6715, 22: 2413, 24: 1659, 26: 2455, 54: 1886, 16: 409, 12: 175, 56: 464, 14: 499, 18: 333, 8: 51, 6: 43, 0: 5}, ("DoubleThreesAndFours", 7, 5): {44: 11990, 48: 5993, 32: 3707, 36: 8930, 28: 3284, 18: 109, 42: 6888, 50: 4653, 38: 10182, 52: 6259, 46: 11137, 54: 4781, 34: 3996, 56: 1472, 22: 1391, 40: 6767, 26: 963, 24: 1144, 16: 242, 30: 5190, 20: 603, 6: 16, 14: 225, 8: 23, 12: 49, 0: 6}, ("DoubleThreesAndFours", 7, 6): {38: 9755, 52: 8339, 46: 14027, 30: 3572, 36: 6292, 40: 7116, 54: 8347, 50: 4510, 34: 2079, 56: 3697, 42: 5017, 44: 11451, 48: 8688, 28: 1705, 22: 755, 24: 789, 32: 3005, 14: 65, 20: 239, 16: 134, 26: 357, 18: 36, 8: 10, 12: 15}, ("DoubleThreesAndFours", 7, 7): {50: 3831, 46: 15829, 44: 9719, 36: 4015, 38: 8195, 40: 7156, 42: 3220, 30: 2281, 54: 12409, 56: 7255, 32: 2381, 52: 9257, 48: 11561, 26: 133, 22: 341, 34: 923, 28: 853, 24: 452, 20: 81, 16: 60, 18: 9, 14: 27, 12: 5, 8: 5, 6: 2}, ("DoubleThreesAndFours", 7, 8): {56: 12116, 52: 9418, 38: 6452, 48: 14055, 32: 1809, 54: 16183, 30: 1357, 50: 3002, 36: 2363, 46: 15616, 40: 6757, 42: 1859, 44: 7554, 24: 285, 16: 30, 34: 481, 22: 175, 14: 10, 28: 379, 20: 42, 26: 55, 8: 1, 12: 1}, ("DoubleThreesAndFours", 8, 1): {24: 4614, 16: 6920, 34: 2175, 14: 13657, 30: 4504, 0: 3982, 20: 10167, 12: 6731, 22: 10162, 36: 2120, 28: 6414, 32: 2079, 18: 3314, 26: 4302, 6: 7946, 8: 7712, 44: 379, 38: 1218, 40: 633, 42: 533, 50: 59, 48: 108, 46: 204, 56: 7, 52: 39, 60: 1, 54: 15, 58: 5}, ("DoubleThreesAndFours", 8, 2): {30: 7306, 42: 5074, 28: 9769, 44: 4004, 26: 6631, 40: 4617, 12: 1685, 20: 6475, 22: 6445, 50: 1654, 36: 8364, 32: 5644, 16: 1623, 14: 3393, 46: 2396, 6: 749, 34: 8035, 24: 3639, 38: 5473, 54: 537, 18: 2090, 48: 1840, 52: 1069, 8: 735, 58: 188, 62: 29, 56: 294, 0: 161, 60: 80, 64: 1}, ("DoubleThreesAndFours", 8, 3): {44: 8078, 34: 8086, 42: 9356, 36: 8106, 38: 6904, 28: 4918, 40: 7729, 30: 4044, 32: 4752, 46: 5989, 50: 5725, 52: 4060, 48: 6119, 58: 1298, 54: 2440, 24: 1345, 22: 1657, 26: 3379, 20: 1620, 56: 1856, 18: 582, 6: 58, 14: 525, 64: 31, 62: 167, 60: 670, 8: 53, 12: 214, 16: 233, 0: 6}, ("DoubleThreesAndFours", 8, 4): {42: 8437, 48: 6657, 44: 10354, 54: 4862, 36: 7211, 34: 4515, 50: 7755, 52: 7763, 56: 3204, 60: 2271, 30: 3188, 20: 611, 46: 8005, 38: 6651, 32: 2521, 40: 5753, 58: 2769, 22: 950, 24: 729, 26: 1214, 28: 2819, 16: 151, 62: 1044, 14: 161, 18: 137, 64: 176, 12: 56, 8: 22, 0: 1, 6: 13}, ("DoubleThreesAndFours", 8, 5): {52: 10531, 60: 4703, 54: 8556, 40: 4470, 44: 9760, 36: 4863, 18: 29, 42: 5705, 50: 7637, 58: 4174, 48: 6812, 28: 1342, 56: 4701, 46: 9599, 30: 2068, 64: 852, 38: 5795, 62: 3095, 24: 376, 32: 1531, 22: 458, 34: 2192, 26: 394, 16: 60, 20: 226, 12: 12, 14: 51, 8: 6, 6: 2}, ("DoubleThreesAndFours", 8, 6): {62: 6075, 44: 7896, 50: 6139, 54: 12058, 60: 6904, 64: 2228, 58: 4472, 38: 4423, 46: 9936, 48: 6877, 52: 11631, 56: 6986, 42: 3493, 36: 2900, 40: 3520, 22: 198, 28: 607, 30: 1238, 34: 915, 32: 1017, 24: 216, 26: 152, 18: 8, 20: 65, 16: 27, 14: 14, 0: 2, 12: 3}, ("DoubleThreesAndFours", 8, 7): {56: 9724, 60: 8403, 54: 14541, 38: 3201, 50: 4302, 52: 10602, 44: 5588, 40: 2855, 46: 9100, 58: 4125, 62: 9808, 36: 1437, 48: 7192, 32: 687, 42: 1827, 64: 5089, 24: 110, 30: 659, 28: 234, 22: 81, 26: 28, 34: 363, 14: 6, 16: 10, 20: 24, 8: 1, 12: 1, 6: 1, 18: 1}, ("DoubleThreesAndFours", 8, 8): {62: 13539, 52: 8871, 48: 7127, 60: 9206, 64: 9203, 50: 2679, 46: 7646, 56: 12383, 54: 15467, 42: 851, 30: 298, 44: 3621, 38: 2026, 58: 3339, 40: 2268, 36: 703, 32: 421, 16: 4, 34: 150, 28: 99, 22: 36, 20: 4, 24: 46, 26: 12, 8: 1}, ("QuadrupleOnesAndTwos", 1, 1): {8: 16630, 0: 66567, 4: 16803}, ("QuadrupleOnesAndTwos", 1, 2): {4: 27448, 0: 44809, 8: 27743}, ("QuadrupleOnesAndTwos", 1, 3): {0: 37100, 4: 23184, 8: 39716}, ("QuadrupleOnesAndTwos", 1, 4): {0: 30963, 8: 49816, 4: 19221}, ("QuadrupleOnesAndTwos", 1, 5): {8: 58605, 4: 16079, 0: 25316}, ("QuadrupleOnesAndTwos", 1, 6): {0: 21505, 8: 65258, 4: 13237}, ("QuadrupleOnesAndTwos", 1, 7): {0: 17676, 8: 71224, 4: 11100}, ("QuadrupleOnesAndTwos", 1, 8): {0: 14971, 8: 75706, 4: 9323}, ("QuadrupleOnesAndTwos", 2, 1): {0: 44566, 4: 22273, 8: 24842, 16: 2834, 12: 5485}, ("QuadrupleOnesAndTwos", 2, 2): {0: 19963, 12: 15172, 16: 7713, 4: 24890, 8: 32262}, ("QuadrupleOnesAndTwos", 2, 3): {0: 13766, 8: 34907, 16: 15630, 4: 17158, 12: 18539}, ("QuadrupleOnesAndTwos", 2, 4): {8: 34465, 12: 19108, 16: 24903, 0: 9543, 4: 11981}, ("QuadrupleOnesAndTwos", 2, 5): {16: 34144, 4: 8302, 8: 32470, 12: 18612, 0: 6472}, ("QuadrupleOnesAndTwos", 2, 6): {16: 42762, 8: 29716, 12: 17216, 0: 4569, 4: 5737}, ("QuadrupleOnesAndTwos", 2, 7): {12: 15756, 16: 50635, 8: 26489, 4: 3974, 0: 3146}, ("QuadrupleOnesAndTwos", 2, 8): {12: 14167, 16: 57266, 0: 2265, 8: 23578, 4: 2724}, ("QuadrupleOnesAndTwos", 3, 1): {12: 11557, 0: 29440, 8: 27747, 4: 22574, 16: 6892, 24: 459, 20: 1331}, ("QuadrupleOnesAndTwos", 3, 2): {8: 26434, 0: 8857, 12: 22986, 4: 16295, 16: 16799, 24: 2148, 20: 6481}, ("QuadrupleOnesAndTwos", 3, 3): {20: 11167, 12: 21685, 4: 9447, 0: 5063, 16: 24084, 8: 22255, 24: 6299}, ("QuadrupleOnesAndTwos", 3, 4): {24: 12448, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 0: 2864}, ("QuadrupleOnesAndTwos", 3, 5): {16: 30427, 24: 19843, 12: 14755, 8: 13478, 20: 16602, 0: 1676, 4: 3219}, ("QuadrupleOnesAndTwos", 3, 6): {24: 27625, 12: 11326, 16: 31125, 4: 1758, 8: 10259, 20: 16984, 0: 923}, ("QuadrupleOnesAndTwos", 3, 7): {24: 35548, 12: 8769, 16: 29367, 20: 17085, 0: 586, 8: 7543, 4: 1102}, ("QuadrupleOnesAndTwos", 3, 8): {24: 43483, 20: 16170, 12: 6388, 16: 27741, 8: 5277, 4: 607, 0: 334}, ("QuadrupleOnesAndTwos", 4, 1): {12: 16126, 20: 3979, 0: 19691, 8: 27288, 4: 19657, 16: 11167, 24: 1705, 28: 307, 32: 80}, ("QuadrupleOnesAndTwos", 4, 2): {4: 9776, 8: 19015, 16: 20986, 12: 22094, 0: 4023, 20: 13805, 24: 7340, 28: 2393, 32: 568}, ("QuadrupleOnesAndTwos", 4, 3): {12: 16853, 4: 4705, 0: 1848, 16: 22831, 8: 12411, 28: 5902, 20: 18400, 32: 2570, 24: 14480}, ("QuadrupleOnesAndTwos", 4, 4): {16: 21220, 24: 20615, 12: 12063, 20: 19266, 4: 2291, 0: 930, 32: 6088, 8: 8084, 28: 9443}, ("QuadrupleOnesAndTwos", 4, 5): {24: 25474, 20: 17910, 32: 11370, 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("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, ("OneTwoOneConsecutive", 7, 5): {30: 92280, 0: 7720}, ("OneTwoOneConsecutive", 7, 6): {30: 94446, 0: 5554}, ("OneTwoOneConsecutive", 7, 7): {30: 95894, 0: 4106}, ("OneTwoOneConsecutive", 7, 8): {30: 96975, 0: 3025}, ("OneTwoOneConsecutive", 8, 1): {30: 59307, 0: 40693}, ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, ("OneTwoOneConsecutive", 8, 3): {30: 91805, 0: 8195}, ("OneTwoOneConsecutive", 8, 4): {30: 94617, 0: 5383}, ("OneTwoOneConsecutive", 8, 5): {30: 96605, 0: 3395}, ("OneTwoOneConsecutive", 8, 6): {30: 97701, 0: 2299}, ("OneTwoOneConsecutive", 8, 7): {30: 98588, 0: 1412}, ("OneTwoOneConsecutive", 8, 8): {30: 99128, 0: 872}, ("ThreeDistinctDice", 1, 1): {0: 100000}, ("ThreeDistinctDice", 1, 2): {0: 100000}, ("ThreeDistinctDice", 1, 3): {0: 100000}, ("ThreeDistinctDice", 1, 4): {0: 100000}, ("ThreeDistinctDice", 1, 5): {0: 100000}, ("ThreeDistinctDice", 1, 6): {0: 100000}, ("ThreeDistinctDice", 1, 7): {0: 100000}, ("ThreeDistinctDice", 1, 8): {0: 100000}, ("ThreeDistinctDice", 2, 1): {0: 100000}, ("ThreeDistinctDice", 2, 2): {0: 100000}, ("ThreeDistinctDice", 2, 3): {0: 100000}, ("ThreeDistinctDice", 2, 4): {0: 100000}, ("ThreeDistinctDice", 2, 5): {0: 100000}, ("ThreeDistinctDice", 2, 6): {0: 100000}, ("ThreeDistinctDice", 2, 7): {0: 100000}, ("ThreeDistinctDice", 2, 8): {0: 100000}, 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100000}, ("ThreeDistinctDice", 8, 4): {20: 100000}, ("ThreeDistinctDice", 8, 5): {20: 100000}, ("ThreeDistinctDice", 8, 6): {20: 100000}, ("ThreeDistinctDice", 8, 7): {20: 100000}, ("ThreeDistinctDice", 8, 8): {20: 100000}, ("TwoPair", 1, 1): {0: 100000}, ("TwoPair", 1, 2): {0: 100000}, ("TwoPair", 1, 3): {0: 100000}, ("TwoPair", 1, 4): {0: 100000}, ("TwoPair", 1, 5): {0: 100000}, ("TwoPair", 1, 6): {0: 100000}, ("TwoPair", 1, 7): {0: 100000}, ("TwoPair", 1, 8): {0: 100000}, ("TwoPair", 2, 1): {0: 100000}, ("TwoPair", 2, 2): {0: 100000}, ("TwoPair", 2, 3): {0: 100000}, ("TwoPair", 2, 4): {0: 100000}, ("TwoPair", 2, 5): {0: 100000}, ("TwoPair", 2, 6): {0: 100000}, ("TwoPair", 2, 7): {0: 100000}, ("TwoPair", 2, 8): {0: 100000}, ("TwoPair", 3, 1): {0: 100000}, ("TwoPair", 3, 2): {0: 100000}, ("TwoPair", 3, 3): {0: 100000}, ("TwoPair", 3, 4): {0: 100000}, ("TwoPair", 3, 5): {0: 100000}, ("TwoPair", 3, 6): {0: 100000}, ("TwoPair", 3, 7): {0: 100000}, ("TwoPair", 3, 8): {0: 100000}, ("TwoPair", 4, 1): {0: 93065, 30: 6935}, ("TwoPair", 4, 2): {0: 82102, 30: 17898}, ("TwoPair", 4, 3): {0: 71209, 30: 28791}, ("TwoPair", 4, 4): {0: 61609, 30: 38391}, ("TwoPair", 4, 5): {30: 46964, 0: 53036}, ("TwoPair", 4, 6): {0: 45705, 30: 54295}, ("TwoPair", 4, 7): {0: 39398, 30: 60602}, ("TwoPair", 4, 8): {30: 66327, 0: 33673}, ("TwoPair", 5, 1): {30: 27153, 0: 72847}, ("TwoPair", 5, 2): {30: 53241, 0: 46759}, ("TwoPair", 5, 3): {30: 70538, 0: 29462}, ("TwoPair", 5, 4): {30: 81649, 0: 18351}, ("TwoPair", 5, 5): {30: 88207, 0: 11793}, ("TwoPair", 5, 6): {30: 92615, 0: 7385}, ("TwoPair", 5, 7): {30: 95390, 0: 4610}, ("TwoPair", 5, 8): {30: 97062, 0: 2938}, ("TwoPair", 6, 1): {30: 55569, 0: 44431}, ("TwoPair", 6, 2): {30: 82817, 0: 17183}, ("TwoPair", 6, 3): {30: 93241, 0: 6759}, ("TwoPair", 6, 4): {30: 97438, 0: 2562}, ("TwoPair", 6, 5): {30: 99052, 0: 948}, ("TwoPair", 6, 6): {30: 99625, 0: 375}, ("TwoPair", 6, 7): {30: 99862, 0: 138}, ("TwoPair", 6, 8): {30: 99943, 0: 57}, ("TwoPair", 7, 1): {0: 19888, 30: 80112}, ("TwoPair", 7, 2): {30: 96065, 0: 3935}, ("TwoPair", 7, 3): {30: 99199, 0: 801}, ("TwoPair", 7, 4): {30: 99825, 0: 175}, ("TwoPair", 7, 5): {30: 99969, 0: 31}, ("TwoPair", 7, 6): {30: 99993, 0: 7}, ("TwoPair", 7, 7): {30: 99998, 0: 2}, ("TwoPair", 7, 8): {30: 100000}, ("TwoPair", 8, 1): {30: 93209, 0: 6791}, ("TwoPair", 8, 2): {30: 99412, 0: 588}, ("TwoPair", 8, 3): {30: 99939, 0: 61}, ("TwoPair", 8, 4): {30: 99994, 0: 6}, ("TwoPair", 8, 5): {30: 100000}, ("TwoPair", 8, 6): {30: 100000}, ("TwoPair", 8, 7): {30: 100000}, ("TwoPair", 8, 8): {30: 100000}, ("TwoOneTwoConsecutive", 1, 1): {0: 100000}, ("TwoOneTwoConsecutive", 1, 2): {0: 100000}, ("TwoOneTwoConsecutive", 1, 3): {0: 100000}, ("TwoOneTwoConsecutive", 1, 4): {0: 100000}, ("TwoOneTwoConsecutive", 1, 5): {0: 100000}, ("TwoOneTwoConsecutive", 1, 6): {0: 100000}, ("TwoOneTwoConsecutive", 1, 7): {0: 100000}, ("TwoOneTwoConsecutive", 1, 8): {0: 100000}, ("TwoOneTwoConsecutive", 2, 1): {0: 100000}, ("TwoOneTwoConsecutive", 2, 2): {0: 100000}, ("TwoOneTwoConsecutive", 2, 3): {0: 100000}, ("TwoOneTwoConsecutive", 2, 4): {0: 100000}, ("TwoOneTwoConsecutive", 2, 5): {0: 100000}, ("TwoOneTwoConsecutive", 2, 6): {0: 100000}, ("TwoOneTwoConsecutive", 2, 7): {0: 100000}, ("TwoOneTwoConsecutive", 2, 8): {0: 100000}, ("TwoOneTwoConsecutive", 3, 1): {0: 100000}, ("TwoOneTwoConsecutive", 3, 2): {0: 100000}, ("TwoOneTwoConsecutive", 3, 3): {0: 100000}, ("TwoOneTwoConsecutive", 3, 4): {0: 100000}, ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, ("FiveDistinctDice", 1, 1): {0: 100000}, ("FiveDistinctDice", 1, 2): {0: 100000}, ("FiveDistinctDice", 1, 3): {0: 100000}, ("FiveDistinctDice", 1, 4): {0: 100000}, ("FiveDistinctDice", 1, 5): {0: 100000}, ("FiveDistinctDice", 1, 6): {0: 100000}, ("FiveDistinctDice", 1, 7): {0: 100000}, ("FiveDistinctDice", 1, 8): {0: 100000}, ("FiveDistinctDice", 2, 1): {0: 100000}, ("FiveDistinctDice", 2, 2): {0: 100000}, ("FiveDistinctDice", 2, 3): {0: 100000}, ("FiveDistinctDice", 2, 4): {0: 100000}, ("FiveDistinctDice", 2, 5): {0: 100000}, ("FiveDistinctDice", 2, 6): {0: 100000}, ("FiveDistinctDice", 2, 7): {0: 100000}, ("FiveDistinctDice", 2, 8): {0: 100000}, ("FiveDistinctDice", 3, 1): {0: 100000}, ("FiveDistinctDice", 3, 2): {0: 100000}, ("FiveDistinctDice", 3, 3): {0: 100000}, ("FiveDistinctDice", 3, 4): {0: 100000}, ("FiveDistinctDice", 3, 5): {0: 100000}, ("FiveDistinctDice", 3, 6): {0: 100000}, ("FiveDistinctDice", 3, 7): {0: 100000}, ("FiveDistinctDice", 3, 8): {0: 100000}, ("FiveDistinctDice", 4, 1): {0: 100000}, ("FiveDistinctDice", 4, 2): {0: 100000}, ("FiveDistinctDice", 4, 3): {0: 100000}, ("FiveDistinctDice", 4, 4): {0: 100000}, ("FiveDistinctDice", 4, 5): {0: 100000}, ("FiveDistinctDice", 4, 6): {0: 100000}, ("FiveDistinctDice", 4, 7): {0: 100000}, ("FiveDistinctDice", 4, 8): {0: 100000}, ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, ("FourAndFiveFullHouse", 1, 1): {0: 100000}, ("FourAndFiveFullHouse", 1, 2): {0: 100000}, ("FourAndFiveFullHouse", 1, 3): {0: 100000}, ("FourAndFiveFullHouse", 1, 4): {0: 100000}, ("FourAndFiveFullHouse", 1, 5): {0: 100000}, ("FourAndFiveFullHouse", 1, 6): {0: 100000}, ("FourAndFiveFullHouse", 1, 7): {0: 100000}, ("FourAndFiveFullHouse", 1, 8): {0: 100000}, ("FourAndFiveFullHouse", 2, 1): {0: 100000}, ("FourAndFiveFullHouse", 2, 2): {0: 100000}, ("FourAndFiveFullHouse", 2, 3): {0: 100000}, ("FourAndFiveFullHouse", 2, 4): {0: 100000}, ("FourAndFiveFullHouse", 2, 5): {0: 100000}, ("FourAndFiveFullHouse", 2, 6): {0: 100000}, ("FourAndFiveFullHouse", 2, 7): {0: 100000}, ("FourAndFiveFullHouse", 2, 8): {0: 100000}, ("FourAndFiveFullHouse", 3, 1): {0: 100000}, ("FourAndFiveFullHouse", 3, 2): {0: 100000}, ("FourAndFiveFullHouse", 3, 3): {0: 100000}, ("FourAndFiveFullHouse", 3, 4): {0: 100000}, ("FourAndFiveFullHouse", 3, 5): {0: 100000}, ("FourAndFiveFullHouse", 3, 6): {0: 100000}, ("FourAndFiveFullHouse", 3, 7): {0: 100000}, ("FourAndFiveFullHouse", 3, 8): {0: 100000}, ("FourAndFiveFullHouse", 4, 1): {0: 100000}, ("FourAndFiveFullHouse", 4, 2): {0: 100000}, ("FourAndFiveFullHouse", 4, 3): {0: 100000}, ("FourAndFiveFullHouse", 4, 4): {0: 100000}, ("FourAndFiveFullHouse", 4, 5): {0: 100000}, ("FourAndFiveFullHouse", 4, 6): {0: 100000}, ("FourAndFiveFullHouse", 4, 7): {0: 100000}, ("FourAndFiveFullHouse", 4, 8): {0: 100000}, ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}} diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 2728cd3a2dad..c1a930ddbf33 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,11 +1,13 @@ import math -from BaseClasses import Region, Entrance, Item, Tutorial, CollectionState -from .Items import YachtDiceItem, item_table, item_groups +from BaseClasses import CollectionState, Entrance, Item, Region, Tutorial + +from worlds.AutoWorld import WebWorld, World + +from .Items import YachtDiceItem, item_groups, item_table from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions, yd_option_groups -from .Rules import set_yacht_rules, set_yacht_completion_rules, dice_simulation -from worlds.AutoWorld import World, WebWorld +from .Rules import dice_simulation, set_yacht_completion_rules, set_yacht_rules class YachtDiceWeb(WebWorld): @@ -18,7 +20,7 @@ class YachtDiceWeb(WebWorld): "setup/en", ["Spineraks"] )] - + option_groups = yd_option_groups @@ -33,13 +35,13 @@ class YachtDiceWorld(World): """ game: str = "Yacht Dice" options_dataclass = YachtDiceOptions - + web = YachtDiceWeb() - + item_name_to_id = {name: data.code for name, data in item_table.items()} location_name_to_id = {name: data.id for name, data in all_locations.items()} - + item_name_groups = item_groups ap_world_version = "2.0.4" @@ -52,36 +54,36 @@ def _get_yachtdice_data(self): "player_id": self.player, "race": self.multiworld.is_race, } - + # In generate early, we fill the item-pool, then determine the number of locations, and add filler items. - def generate_early(self): + def generate_early(self): self.itempool = [] - self.precollected = [] - + self.precollected = [] + # number of dice and rolls in the pull ind_dice_rolls = self.options.minimal_number_of_dice_and_rolls.value - + num_of_dice = [0, 2, 5, 5, 6, 7, 8][ind_dice_rolls] num_of_rolls = [0, 2, 3, 5, 4, 3, 2][ind_dice_rolls] # amount of dice and roll fragments needed to get a dice or roll frags_per_dice = self.options.number_of_dice_fragments_per_dice.value frags_per_roll = self.options.number_of_roll_fragments_per_roll.value - + # count number of plando items not from pool, we need extra locations for them self.extra_plando_items = 0 - + for plando_setting in self.multiworld.plando_items[self.player]: if plando_setting.get("from_pool", False) is False: self.extra_plando_items += sum(value for value in plando_setting["items"].values()) - + # Create a list with the specified number of 1s num_ones = self.options.alternative_categories.value categorylist = [1] * num_ones + [0] * (16 - num_ones) - + # Shuffle the list to randomize the order - self.multiworld.random.shuffle(categorylist) - + self.multiworld.random.shuffle(categorylist) + # A list of all possible categories. # Every entry in the list has two categories, one 'default' category and one 'alt'. # You get either of the two for every entry, so a total of 16 unique categories. @@ -103,39 +105,39 @@ def generate_early(self): ["Category Full House", "Category Five Distinct Dice"], ["Category Yacht", "Category 4&5 Full House"] ] - + # categories used in this game. possible_categories = [] for index, cats in enumerate(all_categories): possible_categories += [cats[categorylist[index]]] - + # Add Choice and Inverse choice (or their alts) to the precollected list. if index == 0 or index == 1: self.precollected += [cats[categorylist[index]]] else: self.itempool += [cats[categorylist[index]]] - + # Also start with one Roll and one Dice self.precollected += ["Roll"] self.precollected += ["Dice"] # if one fragment per dice, just add "Dice" objects if frags_per_dice == 1: - self.itempool += ["Dice"] * (num_of_dice-1) # minus one because one is in start inventory + self.itempool += ["Dice"] * (num_of_dice - 1) # minus one because one is in start inventory else: self.itempool += ["Dice"] # always add a full dice to make generation easier (will be early) - self.itempool += ["Dice Fragment"] * (frags_per_dice * (num_of_dice-2)) + self.itempool += ["Dice Fragment"] * (frags_per_dice * (num_of_dice - 2)) # if one fragment per roll, just add "Roll" objects if frags_per_roll == 1: - self.itempool += ["Roll"] * (num_of_rolls-1) # minus one because one is in start inventory + self.itempool += ["Roll"] * (num_of_rolls - 1) # minus one because one is in start inventory else: self.itempool += ["Roll"] # always add a full roll to make generation easier (will be early) - self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls-2)) - + self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls - 2)) + already_items = len(self.itempool) + self.extra_plando_items - + # Yacht Dice needs extra filler items so it doesn't get stuck in generation. # For now, we calculate the number of extra items we'll need later. if self.options.minimize_extra_items.value: @@ -143,11 +145,11 @@ def generate_early(self): else: extraPercentage = 0.7 extra_locations_needed = max(10, math.ceil(already_items * extraPercentage)) - + # max score is the value of the last check. Goal score is the score needed to 'finish' the game self.max_score = self.options.score_for_last_check.value self.goal_score = min(self.max_score, self.options.score_for_goal.value) - + # Yacht Dice adds items into the pool until a score of at least 1000 is reached. # the yaml contains weights, which determine how likely it is that specific items get added. # If all weights are 0, some of them will be made to be non-zero later. @@ -159,22 +161,22 @@ def generate_early(self): self.options.weight_of_double_category.value, self.options.weight_of_points.value ] - + # if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice if weights[0] > 0 and frags_per_dice > 1: self.itempool += ["Dice Fragment"] * (frags_per_dice - 1) if weights[1] > 0 and frags_per_roll > 1: self.itempool += ["Roll Fragment"] * (frags_per_roll - 1) - + # calibrate the weights, since the impact of each of the items is different weights[0] = weights[0] / 5 * frags_per_dice weights[1] = weights[1] / 5 * frags_per_roll - + extra_points_added = 0 multipliers_added = 0 - + # Keep adding items until a score of 1000 is in logic - while dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: + while dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: all_items = self.itempool + self.precollected dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: @@ -182,26 +184,26 @@ def generate_early(self): roll_fragments_in_pool = all_items.count("Roll") * frags_per_roll + all_items.count("Roll Fragment") if roll_fragments_in_pool + 1 >= 6 * frags_per_roll: weights[1] = 0 # don't allow >= 6 rolls - + # Don't allow too many multipliers if multipliers_added > 50: weights[2] = 0 weights[3] = 0 - + # Don't allow too many extra points if extra_points_added > 300: - weights[5] = 0 - + weights[5] = 0 + # if all weights are zero, allow to add fixed score multiplier, double category, points. if sum(weights) == 0: if multipliers_added <= 50: - weights[2] = 1 + weights[2] = 1 weights[4] = 1 if extra_points_added <= 300: weights[5] = 1 - + # Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item - which_item_to_add = self.multiworld.random.choices([0, 1, 2, 3, 4, 5], weights = weights)[0] + which_item_to_add = self.multiworld.random.choices([0, 1, 2, 3, 4, 5], weights=weights)[0] if which_item_to_add == 0: if frags_per_dice == 1: self.itempool += ["Dice"] @@ -223,8 +225,8 @@ def generate_early(self): weights[3] /= 1.1 multipliers_added += 1 elif which_item_to_add == 4: - cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] - self.itempool += self.multiworld.random.choices(possible_categories, weights = cat_weights) + cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] + self.itempool += self.multiworld.random.choices(possible_categories, weights=cat_weights) weights[4] /= 1.1 elif which_item_to_add == 5: score_dist = self.options.points_size.value @@ -237,7 +239,7 @@ def generate_early(self): probs = [0, 0.3, 0.7] if score_dist == 4: probs = [0.3, 0.4, 0.3] - c = self.multiworld.random.choices([0, 1, 2], weights = probs)[0] + c = self.multiworld.random.choices([0, 1, 2], weights=probs)[0] if c == 0: self.itempool += ["1 Point"] extra_points_added += 1 @@ -254,45 +256,45 @@ def generate_early(self): raise Exception("Unknown point value (Yacht Dice)") else: raise Exception("Invalid index when adding new items in Yacht Dice") - + # count the number of locations in the game. already_items = len(self.itempool) + self.extra_plando_items + 1 # +1 because of Victory item - + # We need to add more filler/useful items if there are many items in the pool to guarantee successful generation extra_locations_needed += (already_items - 45) // 15 self.number_of_locations = already_items + extra_locations_needed - + # From here, we will count the number of items in the self.itempool, and add useful/filler items to the pool, # making sure not to exceed the number of locations. - + # first, we flood the entire pool with extra points (useful), if that setting is chosen. - if self.options.add_bonus_points.value == 1: #all of the extra points + if self.options.add_bonus_points.value == 1: # all of the extra points already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 100) - - # second, we flood the entire pool with story chapters (filler), if that setting is chosen. + + # second, we flood the entire pool with story chapters (filler), if that setting is chosen. if self.options.add_story_chapters.value == 1: # all of the story chapters already_items = len(self.itempool) + self.extra_plando_items + 1 number_of_items = min(self.number_of_locations - already_items, 100) number_of_items = (number_of_items // 10) * 10 # story chapters always come in multiples of 10 self.itempool += ["Story Chapter"] * number_of_items - + # add some extra points (useful) if self.options.add_bonus_points.value == 2: # add extra points if wanted already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) - + # add some story chapters (filler) if self.options.add_story_chapters.value == 2: # add extra points if wanted already_items = len(self.itempool) + self.extra_plando_items + 1 if self.number_of_locations - already_items >= 10: self.itempool += ["Story Chapter"] * 10 - + # add some more extra points if there is still room if self.options.add_bonus_points.value == 2: already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) - + # add some encouragements filler-items if there is still room already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Encouragement"] * min(self.number_of_locations - already_items, 5) @@ -300,16 +302,16 @@ def generate_early(self): # add some fun facts filler-items if there is still room already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) - + # finally, add some "Good RNG" and "Bad RNG" items to complete the item pool # these items are filler and do not do anything. - + # probability of Good and Bad rng, based on difficulty for fun :) p = 1.1 - 0.25 * self.options.game_difficulty.value already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += self.multiworld.random.choices( - ["Good RNG", "Bad RNG"], - weights=[p, 1-p], + ["Good RNG", "Bad RNG"], + weights=[p, 1 - p], k=self.number_of_locations - already_items ) @@ -318,21 +320,21 @@ def generate_early(self): if already_items != self.number_of_locations: raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " f"{already_items} {self.number_of_locations}.") - + # add precollected items using push_precollected. Items in self.itempool get created in create_items for item in self.precollected: self.multiworld.push_precollected(self.create_item(item)) - + # make sure one dice and one roll is early, so that you will have 2 dice and 2 rolls soon self.multiworld.early_items[self.player]["Dice"] = 1 self.multiworld.early_items[self.player]["Roll"] = 1 def create_items(self): - self.multiworld.itempool += [self.create_item(name) for name in self.itempool] + self.multiworld.itempool += [self.create_item(name) for name in self.itempool] def create_regions(self): # call the ini_locations function, that generates locations based on the inputs. - location_table, goal_index = ini_locations(self.goal_score, self.max_score, self.number_of_locations, + location_table, goal_index = ini_locations(self.goal_score, self.max_score, self.number_of_locations, self.options.game_difficulty.value) # simple menu-board construction @@ -342,28 +344,28 @@ def create_regions(self): # add locations to board, one for every location in the location_table board.locations = [YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) for loc_name, loc_data in location_table.items() if loc_data.region == board.name] - + # which index of all locations should have the Victory item. - - # Add the victory item to the correct location. + + # Add the victory item to the correct location. # The website declares that the game is complete when the victory item is obtained. board.locations[goal_index].place_locked_item(self.create_item("Victory")) - + # these will be slot_data input self.goal_score = board.locations[goal_index].yacht_dice_score self.max_score = board.locations[-1].yacht_dice_score - + # add the regions connection = Entrance(self.player, "New Board", menu) menu.exits.append(connection) connection.connect(board) self.multiworld.regions += [menu, board] - + def set_rules(self): # set rules per location, and add the rule for beating the game set_yacht_rules(self.multiworld, self.player, self.options) set_yacht_completion_rules(self.multiworld, self.player) - + def fill_slot_data(self): # make slot data, which consists of yachtdice_data, options, and some other variables. yacht_dice_data = self._get_yachtdice_data() @@ -373,7 +375,7 @@ def fill_slot_data(self): "score_for_goal", "minimal_number_of_dice_and_rolls", "number_of_dice_fragments_per_dice", - "number_of_roll_fragments_per_roll", + "number_of_roll_fragments_per_roll", "alternative_categories", "weight_of_dice", "weight_of_roll", @@ -388,7 +390,7 @@ def fill_slot_data(self): "which_story", "allow_manual_input" ) - slot_data = {**yacht_dice_data, **yacht_dice_options} # combine the two + slot_data = {**yacht_dice_data, **yacht_dice_options} # combine the two slot_data["goal_score"] = self.goal_score slot_data["last_check_score"] = self.max_score slot_data["ap_world_version"] = self.ap_world_version diff --git a/worlds/yachtdice/ruff.toml b/worlds/yachtdice/ruff.toml new file mode 100644 index 000000000000..40a8800b52a6 --- /dev/null +++ b/worlds/yachtdice/ruff.toml @@ -0,0 +1,12 @@ +line-length = 120 + +[lint] +preview = true +select = ["E", "F", "W", "I", "N", "Q", "UP", "RUF", "ISC", "T20"] +ignore = ["RUF012", "RUF100"] + +[per-file-ignores] +# The way options definitions work right now, world devs are forced to break line length requirements. +"options.py" = ["E501"] +# Yu Gi Oh specific: The structure of the Opponents.py file makes the line length violations acceptable. +"YachtWeights.py" = ["E501"] \ No newline at end of file From 99dbcb014f5463a0d0e1dd82ab0af6de22d520ec Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 00:57:52 +0200 Subject: [PATCH 056/127] ruff format styling! --- worlds/yachtdice/Items.py | 18 +- worlds/yachtdice/Locations.py | 4 +- worlds/yachtdice/Options.py | 64 +- worlds/yachtdice/Rules.py | 60 +- worlds/yachtdice/YachtWeights.py | 7899 +++++++++++++++++++++++++++++- worlds/yachtdice/__init__.py | 98 +- worlds/yachtdice/ruff.toml | 12 - 7 files changed, 8040 insertions(+), 115 deletions(-) delete mode 100644 worlds/yachtdice/ruff.toml diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 84ac5456d400..653c73e38dd9 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -11,21 +11,19 @@ class ItemData(typing.NamedTuple): class YachtDiceItem(Item): game: str = "Yacht Dice" + # the starting index is chosen semi-randomly to be 16871244000 item_table = { # victory item, always placed manually at goal location "Victory": ItemData(16871244000 - 1, ItemClassification.progression), - "Dice": ItemData(16871244000, ItemClassification.progression), "Dice Fragment": ItemData(16871244001, ItemClassification.progression), "Roll": ItemData(16871244002, ItemClassification.progression), "Roll Fragment": ItemData(16871244003, ItemClassification.progression), - "Fixed Score Multiplier": ItemData(16871244005, ItemClassification.progression), "Step Score Multiplier": ItemData(16871244006, ItemClassification.progression), - "Category Ones": ItemData(16871244103, ItemClassification.progression), "Category Twos": ItemData(16871244104, ItemClassification.progression), "Category Threes": ItemData(16871244105, ItemClassification.progression), @@ -42,7 +40,6 @@ class YachtDiceItem(Item): "Category Large Straight": ItemData(16871244116, ItemClassification.progression), "Category Full House": ItemData(16871244117, ItemClassification.progression), "Category Yacht": ItemData(16871244118, ItemClassification.progression), - "Category Distincts": ItemData(16871244123, ItemClassification.progression), "Category Two times Ones": ItemData(16871244124, ItemClassification.progression), "Category Half of Sixes": ItemData(16871244125, ItemClassification.progression), @@ -59,7 +56,6 @@ class YachtDiceItem(Item): "Category 2-1-2 Consecutive": ItemData(16871244136, ItemClassification.progression), "Category Five Distinct Dice": ItemData(16871244137, ItemClassification.progression), "Category 4&5 Full House": ItemData(16871244138, ItemClassification.progression), - # filler items "Encouragement": ItemData(16871244200, ItemClassification.filler), "Fun Fact": ItemData(16871244201, ItemClassification.filler), @@ -67,19 +63,15 @@ class YachtDiceItem(Item): "Good RNG": ItemData(16871244203, ItemClassification.filler), "Bad RNG": ItemData(16871244204, ItemClassification.trap), "Bonus Point": ItemData(16871244205, ItemClassification.useful), # not included in logic - # These points are included in the logic and might be necessary to progress. "1 Point": ItemData(16871244301, ItemClassification.progression_skip_balancing), "10 Points": ItemData(16871244302, ItemClassification.progression), - "100 Points": ItemData(16871244303, ItemClassification.progression) + "100 Points": ItemData(16871244303, ItemClassification.progression), } # item groups for better hinting item_groups = { - "Score Multiplier": { - "Step Score Multiplier", - "Fixed Score Multiplier" - }, + "Score Multiplier": {"Step Score Multiplier", "Fixed Score Multiplier"}, "Categories": { "Category Ones", "Category Twos", @@ -112,6 +104,6 @@ class YachtDiceItem(Item): "Category Two Pair", "Category 2-1-2 Consecutive", "Category Five Distinct Dice", - "Category 4&5 Full House" - } + "Category 4&5 Full House", + }, } diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 8c5bc1a56696..2230b34082f9 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -47,8 +47,8 @@ def ini_locations(goal_score, max_score, num_locs, dif): # note that curscore is at most max_score-1 hiscore = 0 for i in range(num_locs - 1): - perc = (i / num_locs) - curscore = int(1 + (perc ** scaling) * (max_score - 2)) + perc = i / num_locs + curscore = int(1 + (perc**scaling) * (max_score - 2)) if curscore <= hiscore: curscore = hiscore + 1 hiscore = curscore diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index dae182ef2112..81fbdd420f06 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -5,12 +5,13 @@ class GameDifficulty(Choice): """ - Difficulty. This option determines how difficult the scores are to achieve. + Difficulty. This option determines how difficult the scores are to achieve. Easy: for beginners. No luck required, just roll the dice and have fun. Lower final goal. Medium: intended difficulty. If you play smart, you will finish the game without any trouble. Hard: you will need to play smart and be lucky. Extreme: really hard mode, which requires many brain wrinkles and insane luck. NOT RECOMMENDED FOR MULTIWORLDS. """ + display_name = "Game difficulty" option_easy = 1 option_medium = 2 @@ -22,9 +23,10 @@ class GameDifficulty(Choice): class ScoreForLastCheck(Range): """ The items in the item pool will always allow you to reach a score of 1000. - By default, the last check is also at a score of 1000. + By default, the last check is also at a score of 1000. However, you can set the score for the last check to be lower. This will make the game shorter and easier. """ + display_name = "Score for last check" range_start = 500 range_end = 1000 @@ -36,6 +38,7 @@ class ScoreForGoal(Range): This option determines what score you need to reach to finish the game. It cannot be higher than the score for the last check (if it is, it is changed automatically). """ + display_name = "Score for goal" range_start = 500 range_end = 1000 @@ -49,6 +52,7 @@ class MinimalNumberOfDiceAndRolls(Choice): You can never get more than 8 dice and 5 rolls. You start with one dice and one roll. """ + display_name = "Minimal number of dice and rolls in pool" option_5_dice_and_3_rolls = 2 option_5_dice_and_5_rolls = 3 @@ -60,11 +64,12 @@ class MinimalNumberOfDiceAndRolls(Choice): class NumberDiceFragmentsPerDice(Range): """ - Dice can be split into fragments, gathering enough will give you an extra dice. - You start with one dice, and there will always be one full dice in the pool. - The other dice are split into fragments, according to this option. + Dice can be split into fragments, gathering enough will give you an extra dice. + You start with one dice, and there will always be one full dice in the pool. + The other dice are split into fragments, according to this option. Setting this to 1 fragment per dice just puts "Dice" objects in the pool. """ + display_name = "Number of dice fragments per dice" range_start = 1 range_end = 5 @@ -73,11 +78,12 @@ class NumberDiceFragmentsPerDice(Range): class NumberRollFragmentsPerRoll(Range): """ - Rolls can be split into fragments, gathering enough will give you an extra roll. - You start with one roll, and there will always be one full roll in the pool. + Rolls can be split into fragments, gathering enough will give you an extra roll. + You start with one roll, and there will always be one full roll in the pool. The other three rolls are split into fragments, according to this option. Setting this to 1 fragment per roll just puts "Roll" objects in the pool. """ + display_name = "Number of roll fragments per roll" range_start = 1 range_end = 5 @@ -92,6 +98,7 @@ class AlternativeCategories(Range): In the game, you can hover over categories to check what they do. How many alternative categories would you like to see in your game? """ + display_name = "Number of alternative categories" range_start = 0 range_end = 16 @@ -103,9 +110,10 @@ class ChanceOfDice(Range): The item pool is always filled in such a way that you can reach a score of 1000. Extra progression items are added that will help you on your quest. You can set the weight for each extra progressive item in the following options. - + Of course, more dice = more points! """ + display_name = "Weight of adding Dice" range_start = 0 range_end = 100 @@ -116,6 +124,7 @@ class ChanceOfRoll(Range): """ With more rolls, you will be able to reach higher scores. """ + display_name = "Weight of adding Roll" range_start = 0 range_end = 100 @@ -126,6 +135,7 @@ class ChanceOfFixedScoreMultiplier(Range): """ Getting a Fixed Score Multiplier will boost all future scores by 10%. """ + display_name = "Weight of adding Fixed Score Multiplier" range_start = 0 range_end = 100 @@ -138,6 +148,7 @@ class ChanceOfStepScoreMultiplier(Range): So, keep high scoring categories for later to get the most out of them. By default, this item is not included. It is fun however, you just need to know the above strategy. """ + display_name = "Weight of adding Step Score Multiplier" range_start = 0 range_end = 100 @@ -149,6 +160,7 @@ class ChanceOfDoubleCategory(Range): This option allows categories to appear multiple times. Each time you get a category after the first, its score value gets doubled. """ + display_name = "Weight of adding Category copy" range_start = 0 range_end = 100 @@ -159,6 +171,7 @@ class ChanceOfPoints(Range): """ Getting points gives you... points. You can get 1 point, 10 points, and even 100 points. """ + display_name = "Weight of adding Points" range_start = 0 range_end = 100 @@ -167,9 +180,10 @@ class ChanceOfPoints(Range): class PointsSize(Choice): """ - If you choose to add points to the item pool, do you prefer many small points, + If you choose to add points to the item pool, do you prefer many small points, medium-size points, a few larger points, or a mix of them? """ + display_name = "Size of points" option_small = 1 option_medium = 2 @@ -182,9 +196,10 @@ class MinimizeExtraItems(Choice): """ Besides necessary items, Yacht Dice has extra useful/filler items in the item pool. It is possible however to decrease the number of extra items in multiplayer games. - Do you want to reduce the number of extra items? + Do you want to reduce the number of extra items? (this option only does something in multiplayer games) """ + display_name = "Minimize extra items" option_no_dont = 1 option_yes_please = 2 @@ -196,11 +211,12 @@ class AddExtraPoints(Choice): Yacht Dice typically has space for extra items. If there is space, would you like bonus points shuffled in the item pool? They make the game a little bit easier, as they are not considered in the logic. - + all_of_it: fill all locations with extra points sure: put some bonus points in never: do not put any bonus points """ + display_name = "Extra bonus in the pool" option_all_of_it = 1 option_sure = 2 @@ -213,11 +229,12 @@ class AddStoryChapters(Choice): Yacht Dice typically has space for more items. If there is space, would you like story chapters shuffled in the item pool? Note: if you have extra points on "all_of_it", there will not be story chapters. - + all_of_it: fill all locations with story chapters sure: if there is space left, put in 10 story chapters. never: do not put any story chapters in, I do not like reading (but I am glad you are reading THIS!) """ + display_name = "Extra story chapters in the pool" option_all_of_it = 1 option_sure = 2 @@ -232,6 +249,7 @@ class WhichStory(Choice): You can read story chapters in the feed on the website. Which story would you like to read? """ + display_name = "Story" option_the_quest_of_the_dice_warrior = 1 option_the_tragedy_of_fortunas_gambit = 2 @@ -250,6 +268,7 @@ class AllowManual(Choice): Of course, we cannot check anymore if the player is playing fair. Do you want to allow manual input of rolls? """ + display_name = "Allow manual inputs" option_yes_allow = 1 option_no_dont_allow = 2 @@ -286,12 +305,17 @@ class YachtDiceOptions(PerGameCommonOptions): yd_option_groups = [ - OptionGroup("Extra progression items", [ - ChanceOfDice, ChanceOfRoll, ChanceOfFixedScoreMultiplier, ChanceOfStepScoreMultiplier, - ChanceOfDoubleCategory, ChanceOfPoints, PointsSize - ]), - - OptionGroup("Other items", [ - MinimizeExtraItems, AddExtraPoints, AddStoryChapters, WhichStory - ]) + OptionGroup( + "Extra progression items", + [ + ChanceOfDice, + ChanceOfRoll, + ChanceOfFixedScoreMultiplier, + ChanceOfStepScoreMultiplier, + ChanceOfDoubleCategory, + ChanceOfPoints, + PointsSize, + ], + ), + OptionGroup("Other items", [MinimizeExtraItems, AddExtraPoints, AddStoryChapters, WhichStory]), ] diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 4fed56f63939..e7e848cd9e03 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -25,7 +25,6 @@ "Category Large Straight": "LargeStraight", "Category Full House": "FullHouse", "Category Yacht": "Yacht", - "Category Distincts": "Distincts", "Category Two times Ones": "Twos", # same weights as twos category "Category Half of Sixes": "Threes", # same weights as threes category @@ -41,7 +40,7 @@ "Category Two Pair": "TwoPair", "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", "Category Five Distinct Dice": "FiveDistinctDice", - "Category 4&5 Full House": "FourAndFiveFullHouse" + "Category 4&5 Full House": "FourAndFiveFullHouse", } # This class adds logic to the apworld. @@ -74,12 +73,10 @@ def extract_progression(state, player, options): if player == "state_is_a_list": # the state variable is just a list with the names of the items number_of_dice = ( - state.count("Dice") - + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value + state.count("Dice") + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value ) number_of_rerolls = ( - state.count("Roll") - + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value + state.count("Roll") + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value ) number_of_fixed_mults = state.count("Fixed Score Multiplier") number_of_step_mults = state.count("Step Score Multiplier") @@ -109,8 +106,15 @@ def extract_progression(state, player, options): extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - return [categories, number_of_dice, number_of_rerolls, - number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic] + return [ + categories, + number_of_dice, + number_of_rerolls, + number_of_fixed_mults * 0.1, + number_of_step_mults * 0.01, + extra_points_in_logic, + ] + # We will store the results of this function as it is called often for the same parameters. @@ -120,8 +124,16 @@ def extract_progression(state, player, options): # Function that returns the feasible score in logic based on items obtained. def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff): - tup = tuple([tuple(sorted([c.name + str(c.quantity) for c in categories])), - num_dice, num_rolls, fixed_mult, step_mult, diff]) # identifier + tup = tuple( + [ + tuple(sorted([c.name + str(c.quantity) for c in categories])), + num_dice, + num_rolls, + fixed_mult, + step_mult, + diff, + ] + ) # identifier # if already computed, return the result if tup in yachtdice_cache.keys(): @@ -210,16 +222,22 @@ def percentile_distribution(dist, percentile): def dice_simulation(state, player, options): if player == "state_is_a_list": categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) - return dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value - ) + expoints + return ( + dice_simulation_strings( + categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value + ) + + expoints + ) if state.prog_items[player]["state_is_fresh"] == 0: state.prog_items[player]["state_is_fresh"] = 1 categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) - state.prog_items[player]["maximum_achievable_score"] = dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value - ) + expoints + state.prog_items[player]["maximum_achievable_score"] = ( + dice_simulation_strings( + categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value + ) + + expoints + ) return state.prog_items[player]["maximum_achievable_score"] @@ -227,11 +245,11 @@ def dice_simulation(state, player, options): # Sets rules on entrances and advancements that are always applied def set_yacht_rules(world: MultiWorld, player: int, options): for l in world.get_locations(player): - set_rule(l, - lambda state, - curscore=l.yacht_dice_score, - player=player: - dice_simulation(state, player, options) >= curscore) + set_rule( + l, + lambda state, curscore=l.yacht_dice_score, player=player: dice_simulation(state, player, options) + >= curscore, + ) # Sets rules on completion condition diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 830f56adcbcf..3b788d5c880b 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,4 +6,7901 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {("Ones", 0, 0): {0: 100000}, ("Ones", 0, 1): {0: 100000}, ("Ones", 0, 2): {0: 100000}, ("Ones", 0, 3): {0: 100000}, ("Ones", 0, 4): {0: 100000}, ("Ones", 0, 5): {0: 100000}, ("Ones", 0, 6): {0: 100000}, ("Ones", 0, 7): {0: 100000}, ("Ones", 0, 8): {0: 100000}, ("Ones", 1, 0): {0: 100000}, ("Ones", 1, 1): {0: 83416, 1: 16584}, ("Ones", 1, 2): {0: 69346, 1: 30654}, ("Ones", 1, 3): {0: 57756, 1: 42244}, ("Ones", 1, 4): {0: 48709, 1: 51291}, ("Ones", 1, 5): {1: 59786, 0: 40214}, ("Ones", 1, 6): {1: 66509, 0: 33491}, ("Ones", 1, 7): {1: 72162, 0: 27838}, ("Ones", 1, 8): {0: 23094, 1: 76906}, ("Ones", 2, 0): {0: 100000}, ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, ("Ones", 3, 0): {0: 100000}, ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, ("Ones", 4, 0): {0: 100000}, ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, ("Ones", 5, 0): {0: 100000}, ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, ("Ones", 6, 0): {0: 100000}, ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, ("Ones", 7, 0): {0: 100000}, ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, ("Ones", 8, 0): {0: 100000}, ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, ("Twos", 0, 0): {0: 100000}, ("Twos", 0, 1): {0: 100000}, ("Twos", 0, 2): {0: 100000}, ("Twos", 0, 3): {0: 100000}, ("Twos", 0, 4): {0: 100000}, ("Twos", 0, 5): {0: 100000}, ("Twos", 0, 6): {0: 100000}, ("Twos", 0, 7): {0: 100000}, ("Twos", 0, 8): {0: 100000}, ("Twos", 1, 0): {0: 100000}, ("Twos", 1, 1): {0: 83475, 2: 16525}, ("Twos", 1, 2): {0: 69690, 2: 30310}, ("Twos", 1, 3): {0: 57818, 2: 42182}, ("Twos", 1, 4): {0: 48418, 2: 51582}, ("Twos", 1, 5): {2: 59699, 0: 40301}, ("Twos", 1, 6): {2: 66442, 0: 33558}, ("Twos", 1, 7): {2: 71818, 0: 28182}, ("Twos", 1, 8): {0: 23406, 2: 76594}, ("Twos", 2, 0): {0: 100000}, ("Twos", 2, 1): {0: 69724, 2: 27485, 4: 2791}, ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, ("Twos", 2, 4): {2: 49957, 4: 26907, 0: 23136}, ("Twos", 2, 5): {4: 35654, 2: 48200, 0: 16146}, ("Twos", 2, 6): {4: 44420, 2: 44497, 0: 11083}, ("Twos", 2, 7): {4: 51995, 2: 40343, 0: 7662}, ("Twos", 2, 8): {4: 59120, 2: 35526, 0: 5354}, ("Twos", 3, 0): {0: 100000}, ("Twos", 3, 1): {2: 34522, 0: 58021, 4: 6995, 6: 462}, ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 19358, 6: 2833}, ("Twos", 3, 3): {2: 42372, 4: 30748, 0: 19375, 6: 7505}, ("Twos", 3, 4): {6: 13998, 4: 38569, 2: 36435, 0: 10998}, ("Twos", 3, 5): {4: 43283, 2: 28838, 6: 21360, 0: 6519}, ("Twos", 3, 6): {6: 29650, 4: 44233, 2: 22498, 0: 3619}, ("Twos", 3, 7): {6: 37142, 2: 16979, 4: 43684, 0: 2195}, ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, ("Twos", 4, 0): {0: 100000}, ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, ("Twos", 5, 0): {0: 100000}, ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 2658}, ("Twos", 5, 5): {4: 23643, 8: 25853, 10: 7495, 6: 33993, 0: 1032, 2: 7984}, ("Twos", 5, 6): {6: 32774, 2: 4152, 8: 32900, 10: 13183, 0: 450, 4: 16541}, ("Twos", 5, 7): {6: 29481, 8: 37636, 10: 19256, 4: 11231, 2: 2226, 0: 170}, ("Twos", 5, 8): {10: 26467, 8: 40798, 6: 23993, 4: 7571, 2: 1108, 0: 63}, ("Twos", 6, 0): {0: 100000}, ("Twos", 6, 1): {0: 33502, 4: 19717, 2: 40413, 6: 5481, 8: 815, 10: 68, 12: 4}, ("Twos", 6, 2): {2: 29638, 8: 6339, 4: 32701, 0: 11210, 6: 18988, 10: 1046, 12: 78}, ("Twos", 6, 3): {6: 29102, 2: 16459, 8: 15825, 4: 29795, 0: 3673, 10: 4581, 12: 565}, ("Twos", 6, 4): {2: 8048, 8: 25066, 4: 21977, 6: 31053, 10: 10654, 12: 1959, 0: 1243}, ("Twos", 6, 5): {10: 18355, 4: 13949, 6: 28142, 8: 30723, 2: 3753, 12: 4637, 0: 441}, ("Twos", 6, 6): {10: 26213, 6: 22222, 4: 8455, 8: 32692, 12: 8618, 2: 1679, 0: 121}, ("Twos", 6, 7): {10: 32532, 8: 31410, 6: 16142, 12: 14270, 4: 4871, 2: 728, 0: 47}, ("Twos", 6, 8): {12: 20612, 6: 11432, 10: 37237, 8: 27864, 4: 2544, 2: 299, 0: 12}, ("Twos", 7, 0): {0: 100000}, ("Twos", 7, 1): {2: 39060, 0: 27683, 8: 1580, 4: 23574, 6: 7899, 10: 192, 12: 12}, ("Twos", 7, 2): {2: 24031, 6: 23095, 4: 31764, 0: 7824, 8: 10154, 10: 2733, 12: 376, 14: 23}, ("Twos", 7, 3): {2: 11019, 6: 29599, 10: 9338, 8: 21250, 0: 2148, 4: 24197, 12: 2233, 14: 216}, ("Twos", 7, 4): {10: 18080, 6: 26395, 4: 14571, 8: 28409, 2: 4465, 12: 6519, 14: 997, 0: 564}, ("Twos", 7, 5): {8: 29039, 2: 1738, 10: 26129, 6: 19287, 4: 7911, 14: 2798, 12: 12923, 0: 175}, ("Twos", 7, 6): {8: 25752, 10: 30413, 6: 12897, 14: 5951, 12: 20324, 4: 3961, 0: 54, 2: 648}, ("Twos", 7, 7): {12: 27347, 14: 10079, 10: 32054, 6: 8007, 8: 20334, 4: 1926, 2: 240, 0: 13}, ("Twos", 7, 8): {8: 15233, 10: 30248, 14: 15699, 12: 33276, 6: 4602, 4: 861, 2: 76, 0: 5}, ("Twos", 8, 0): {0: 100000}, ("Twos", 8, 1): {0: 23378, 6: 10451, 2: 37157, 4: 26082, 8: 2497, 10: 391, 12: 44}, ("Twos", 8, 2): {8: 14198, 4: 29216, 12: 1104, 6: 25677, 0: 5420, 2: 19164, 10: 5089, 14: 127, 16: 5}, ("Twos", 8, 3): {4: 18793, 12: 5201, 6: 27054, 10: 14462, 8: 24712, 2: 7289, 14: 1109, 0: 1271, 16: 109}, ("Twos", 8, 4): {8: 27389, 12: 12609, 10: 23232, 4: 9310, 6: 20242, 14: 3815, 16: 514, 2: 2604, 0: 285}, ("Twos", 8, 5): {10: 27882, 12: 20768, 16: 1604, 6: 12669, 8: 23322, 14: 8692, 4: 4184, 0: 58, 2: 821}, ("Twos", 8, 6): {8: 17148, 12: 27048, 10: 27398, 14: 15513, 6: 6992, 16: 3860, 2: 251, 4: 1774, 0: 16}, ("Twos", 8, 7): {8: 11479, 10: 23675, 6: 3547, 14: 22454, 12: 30829, 16: 7275, 4: 667, 2: 71, 0: 3}, ("Twos", 8, 8): {10: 18697, 14: 28983, 12: 31310, 16: 11977, 4: 286, 8: 6980, 6: 1746, 2: 21}, ("Threes", 0, 0): {0: 100000}, ("Threes", 0, 1): {0: 100000}, ("Threes", 0, 2): {0: 100000}, ("Threes", 0, 3): {0: 100000}, ("Threes", 0, 4): {0: 100000}, ("Threes", 0, 5): {0: 100000}, ("Threes", 0, 6): {0: 100000}, ("Threes", 0, 7): {0: 100000}, ("Threes", 0, 8): {0: 100000}, ("Threes", 1, 0): {0: 100000}, ("Threes", 1, 1): {0: 83343, 3: 16657}, ("Threes", 1, 2): {0: 69569, 3: 30431}, ("Threes", 1, 3): {0: 57872, 3: 42128}, ("Threes", 1, 4): {3: 51919, 0: 48081}, ("Threes", 1, 5): {0: 40271, 3: 59729}, ("Threes", 1, 6): {3: 66799, 0: 33201}, ("Threes", 1, 7): {3: 72097, 0: 27903}, ("Threes", 1, 8): {3: 76760, 0: 23240}, ("Threes", 2, 0): {0: 100000}, ("Threes", 2, 1): {0: 69419, 6: 2783, 3: 27798}, ("Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, ("Threes", 2, 3): {6: 17775, 0: 33376, 3: 48849}, ("Threes", 2, 4): {3: 49810, 6: 26914, 0: 23276}, ("Threes", 2, 5): {6: 36190, 3: 47718, 0: 16092}, ("Threes", 2, 6): {6: 44253, 3: 44515, 0: 11232}, ("Threes", 2, 7): {6: 51952, 3: 40459, 0: 7589}, ("Threes", 2, 8): {3: 35804, 6: 58749, 0: 5447}, ("Threes", 3, 0): {0: 100000}, ("Threes", 3, 1): {0: 57964, 6: 6868, 3: 34701, 9: 467}, ("Threes", 3, 2): {3: 44263, 0: 33637, 6: 19213, 9: 2887}, ("Threes", 3, 3): {3: 42382, 6: 30676, 0: 19520, 9: 7422}, ("Threes", 3, 4): {3: 35772, 6: 39042, 0: 11265, 9: 13921}, ("Threes", 3, 5): {3: 28916, 9: 21404, 6: 43261, 0: 6419}, ("Threes", 3, 6): {3: 22496, 9: 29306, 6: 44388, 0: 3810}, ("Threes", 3, 7): {6: 43720, 9: 37231, 3: 16875, 0: 2174}, ("Threes", 3, 8): {9: 45070, 6: 41222, 3: 12471, 0: 1237}, ("Threes", 4, 0): {0: 100000}, ("Threes", 4, 1): {3: 38786, 0: 48121, 9: 1483, 6: 11540, 12: 70}, ("Threes", 4, 2): {3: 40989, 0: 23296, 6: 26998, 9: 7851, 12: 866}, ("Threes", 4, 3): {3: 32653, 12: 3183, 6: 35710, 9: 17221, 0: 11233}, ("Threes", 4, 4): {9: 26734, 6: 37468, 3: 23270, 12: 7065, 0: 5463}, ("Threes", 4, 5): {6: 34539, 9: 34635, 3: 15496, 12: 12639, 0: 2691}, ("Threes", 4, 6): {12: 19732, 9: 39190, 6: 29811, 3: 10046, 0: 1221}, ("Threes", 4, 7): {0: 599, 3: 6322, 6: 24420, 12: 27045, 9: 41614}, ("Threes", 4, 8): {12: 34736, 9: 42236, 6: 18843, 3: 3876, 0: 309}, ("Threes", 5, 0): {0: 100000}, ("Threes", 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3046, 12: 336, 15: 19}, ("Threes", 5, 2): {3: 35494, 0: 16197, 6: 30937, 9: 13946, 12: 3139, 15: 287}, ("Threes", 5, 3): {3: 23394, 6: 34432, 9: 25239, 15: 1325, 12: 9027, 0: 6583}, ("Threes", 5, 4): {6: 30134, 9: 32371, 12: 17169, 0: 2636, 3: 14072, 15: 3618}, ("Threes", 5, 5): {6: 23010, 3: 7804, 9: 34811, 12: 25702, 15: 7598, 0: 1075}, ("Threes", 5, 6): {9: 32809, 12: 32892, 6: 16654, 3: 4234, 15: 12993, 0: 418}, ("Threes", 5, 7): {6: 11416, 12: 37604, 15: 19543, 9: 29072, 3: 2203, 0: 162}, ("Threes", 5, 8): {9: 24603, 15: 26464, 12: 40262, 6: 7425, 3: 1175, 0: 71}, ("Threes", 6, 0): {0: 100000}, ("Threes", 6, 1): {0: 33473, 6: 20151, 3: 40175, 9: 5369, 12: 775, 15: 55, 18: 2}, ("Threes", 6, 2): {3: 29592, 9: 19287, 0: 11147, 6: 32630, 12: 6160, 15: 1102, 18: 82}, ("Threes", 6, 3): {12: 15888, 9: 29006, 3: 16528, 0: 3628, 6: 29814, 15: 4565, 18: 571}, ("Threes", 6, 4): {9: 30953, 15: 10810, 18: 1919, 6: 21987, 12: 24833, 3: 8236, 0: 1262}, ("Threes", 6, 5): {6: 13949, 9: 27798, 15: 18256, 12: 31197, 3: 3820, 18: 4564, 0: 416}, ("Threes", 6, 6): {9: 22175, 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("Distincts", 5, 6): {5: 85475, 4: 14470, 3: 55}, ("Distincts", 5, 7): {5: 90340, 4: 9645, 3: 15}, ("Distincts", 5, 8): {5: 93537, 4: 6461, 3: 2}, ("Distincts", 6, 1): {3: 22985, 5: 23032, 4: 50464, 2: 2019, 6: 1492, 1: 8}, ("Distincts", 6, 2): {5: 52573, 4: 35174, 6: 8954, 3: 3273, 2: 26}, ("Distincts", 6, 3): {4: 17376, 5: 62578, 6: 19629, 3: 417}, ("Distincts", 6, 4): {5: 61029, 6: 31140, 4: 7787, 3: 44}, ("Distincts", 6, 5): {6: 41304, 5: 54997, 4: 3690, 3: 9}, ("Distincts", 6, 6): {5: 47225, 6: 51218, 4: 1557}, ("Distincts", 6, 7): {6: 58807, 5: 40465, 4: 728}, ("Distincts", 6, 8): {6: 65828, 5: 33851, 4: 321}, ("Distincts", 7, 1): {4: 44964, 5: 36020, 3: 13006, 6: 5345, 2: 661, 1: 4}, ("Distincts", 7, 2): {5: 56731, 6: 23583, 4: 18847, 3: 838, 2: 1}, ("Distincts", 7, 3): {5: 50312, 6: 43637, 4: 5983, 3: 68}, ("Distincts", 7, 4): {6: 59811, 5: 38393, 4: 1792, 3: 4}, ("Distincts", 7, 5): {5: 27728, 6: 71743, 4: 529}, ("Distincts", 7, 6): {6: 80419, 5: 19417, 4: 164}, ("Distincts", 7, 7): {6: 86382, 5: 13565, 4: 53}, ("Distincts", 7, 8): {6: 90455, 5: 9531, 4: 14}, ("Distincts", 8, 1): {5: 44977, 4: 36582, 6: 11304, 3: 6939, 2: 197, 1: 1}, ("Distincts", 8, 2): {6: 39803, 5: 50783, 4: 9181, 3: 231, 2: 2}, ("Distincts", 8, 3): {6: 63276, 5: 34748, 4: 1967, 3: 9}, ("Distincts", 8, 4): {6: 78603, 5: 21008, 4: 389}, ("Distincts", 8, 5): {6: 87408, 5: 12514, 4: 78}, ("Distincts", 8, 6): {6: 92823, 5: 7159, 4: 18}, ("Distincts", 8, 7): {6: 95821, 5: 4175, 4: 4}, ("Distincts", 8, 8): {6: 97560, 5: 2440}, ("TwosAndThrees", 1, 1): {0: 66466, 2: 16929, 3: 16605}, ("TwosAndThrees", 1, 2): {0: 55640, 2: 13812, 3: 30548}, ("TwosAndThrees", 1, 3): {3: 42178, 0: 46223, 2: 11599}, ("TwosAndThrees", 1, 4): {3: 51830, 0: 38552, 2: 9618}, ("TwosAndThrees", 1, 5): {0: 32320, 3: 59706, 2: 7974}, ("TwosAndThrees", 1, 6): {0: 26733, 3: 66583, 2: 6684}, ("TwosAndThrees", 1, 7): {3: 72148, 0: 22289, 2: 5563}, ("TwosAndThrees", 1, 8): {3: 76636, 0: 18676, 2: 4688}, ("TwosAndThrees", 2, 1): {3: 22335, 2: 21965, 0: 44565, 4: 2837, 5: 5615, 6: 2683}, ("TwosAndThrees", 2, 2): {3: 33956, 0: 30855, 6: 9438, 2: 15480, 5: 8278, 4: 1993}, ("TwosAndThrees", 2, 3): {0: 21509, 3: 38995, 6: 17586, 2: 10838, 5: 9727, 4: 1345}, ("TwosAndThrees", 2, 4): {6: 26659, 3: 40188, 5: 9825, 2: 7489, 0: 14935, 4: 904}, ("TwosAndThrees", 2, 5): {3: 38402, 6: 35581, 2: 5169, 5: 9671, 0: 10492, 4: 685}, ("TwosAndThrees", 2, 6): {3: 35460, 6: 44295, 5: 8994, 0: 7185, 2: 3590, 4: 476}, ("TwosAndThrees", 2, 7): {6: 52017, 3: 32147, 0: 4880, 5: 8139, 2: 2495, 4: 322}, ("TwosAndThrees", 2, 8): {3: 28213, 5: 7294, 6: 59058, 0: 3464, 4: 223, 2: 1748}, ("TwosAndThrees", 3, 1): {3: 22284, 0: 29892, 6: 6003, 4: 5497, 5: 11005, 2: 22136, 8: 1368, 7: 1366, 9: 449}, ("TwosAndThrees", 3, 2): {5: 14092, 2: 12757, 3: 28287, 6: 15822, 0: 17285, 7: 1730, 4: 3213, 9: 2873, 8: 3941}, ("TwosAndThrees", 3, 3): {6: 24863, 3: 27111, 9: 7340, 5: 13522, 8: 6154, 0: 9889, 4: 1847, 2: 7547, 7: 1727}, ("TwosAndThrees", 3, 4): {9: 13765, 6: 31427, 5: 11617, 3: 23072, 8: 7719, 0: 5717, 4: 1000, 2: 4245, 7: 1438}, ("TwosAndThrees", 3, 5): {5: 9296, 6: 34570, 0: 3347, 3: 18506, 4: 617, 9: 21395, 2: 2448, 8: 8683, 7: 1138}, ("TwosAndThrees", 3, 6): {8: 8820, 3: 14399, 6: 35444, 5: 7148, 9: 29632, 0: 1821, 2: 1452, 7: 943, 4: 341}, ("TwosAndThrees", 3, 7): {9: 37501, 3: 10672, 8: 8739, 6: 34879, 5: 5345, 7: 725, 2: 835, 4: 222, 0: 1082}, ("TwosAndThrees", 3, 8): {6: 33047, 9: 45099, 3: 8099, 8: 8018, 5: 4003, 0: 667, 2: 457, 7: 490, 4: 120}, ("TwosAndThrees", 4, 1): {3: 19811, 9: 1565, 2: 19764, 0: 19619, 6: 8721, 5: 14893, 4: 7306, 8: 3801, 11: 319, 7: 3672, 12: 60, 10: 469}, ("TwosAndThrees", 4, 2): {2: 9519, 9: 6678, 5: 15873, 6: 18083, 7: 3876, 8: 8667, 3: 20826, 0: 9395, 4: 3581, 12: 830, 10: 1077, 11: 1595}, ("TwosAndThrees", 4, 3): {12: 3245, 3: 16598, 8: 11445, 5: 12541, 2: 4676, 6: 23294, 0: 4538, 11: 3442, 4: 1694, 10: 1454, 9: 14017, 7: 3056}, ("TwosAndThrees", 4, 4): {8: 11841, 12: 7183, 6: 24218, 3: 11827, 9: 21496, 11: 5412, 10: 1447, 4: 827, 7: 2251, 5: 9096, 0: 2183, 2: 2219}, ("TwosAndThrees", 4, 5): {5: 6024, 9: 27693, 8: 11169, 12: 12776, 3: 7946, 10: 1428, 6: 22064, 2: 1078, 11: 6926, 0: 987, 4: 381, 7: 1528}, ("TwosAndThrees", 4, 6): {9: 31606, 5: 3815, 8: 9649, 11: 7894, 3: 5070, 12: 19495, 6: 19042, 10: 1243, 2: 514, 7: 971, 0: 530, 4: 171}, ("TwosAndThrees", 4, 7): {6: 15556, 3: 3337, 9: 33379, 12: 26771, 5: 2427, 11: 8601, 2: 239, 8: 7881, 10: 918, 0: 224, 7: 584, 4: 83}, ("TwosAndThrees", 4, 8): {11: 8379, 6: 12179, 8: 6079, 9: 33703, 2: 130, 12: 34875, 3: 1931, 5: 1468, 10: 738, 7: 353, 0: 123, 4: 42}, ("TwosAndThrees", 5, 1): {8: 6572, 5: 16396, 6: 10247, 4: 8172, 3: 16607, 2: 16414, 7: 6170, 0: 13070, 9: 3061, 10: 1591, 11: 1136, 12: 374, 13: 124, 14: 55, 15: 11}, ("TwosAndThrees", 5, 2): {6: 16838, 8: 12090, 5: 14763, 7: 5565, 2: 6515, 3: 14466, 10: 3040, 0: 5213, 9: 9616, 12: 2659, 4: 3294, 11: 4470, 14: 636, 13: 578, 15: 257}, ("TwosAndThrees", 5, 3): {5: 9700, 3: 9638, 6: 17947, 11: 8066, 9: 16835, 8: 13214, 13: 1039, 7: 3741, 0: 2126, 12: 7402, 4: 1321, 2: 2581, 15: 1332, 14: 1842, 10: 3216}, ("TwosAndThrees", 5, 4): {6: 15410, 9: 20661, 15: 3811, 5: 5781, 14: 3435, 10: 3042, 11: 10468, 8: 11579, 7: 2157, 3: 5807, 12: 14158, 0: 848, 13: 1264, 2: 1086, 4: 493}, ("TwosAndThrees", 5, 5): {12: 20783, 14: 5166, 6: 12042, 9: 22225, 8: 8829, 11: 11126, 3: 3222, 7: 1226, 10: 2220, 15: 7632, 5: 3184, 13: 1346, 2: 401, 0: 380, 4: 218}, ("TwosAndThrees", 5, 6): {15: 13013, 14: 6551, 12: 26214, 9: 21305, 11: 10593, 10: 1597, 8: 6610, 6: 8412, 5: 1670, 13: 1307, 3: 1698, 7: 653, 0: 123, 2: 172, 4: 82}, ("TwosAndThrees", 5, 7): {14: 7512, 11: 9332, 9: 18653, 6: 5940, 8: 4428, 15: 19396, 12: 30190, 13: 1142, 10: 1106, 3: 896, 7: 332, 5: 908, 4: 41, 0: 59, 2: 65}, ("TwosAndThrees", 5, 8): {6: 3768, 9: 15520, 14: 7963, 15: 26880, 12: 32501, 11: 7771, 8: 2819, 10: 666, 13: 973, 5: 459, 2: 30, 3: 470, 7: 153, 0: 13, 4: 14}, ("TwosAndThrees", 6, 1): {3: 13212, 2: 13135, 10: 3108, 0: 8955, 4: 8191, 8: 8621, 5: 16659, 6: 10713, 9: 4879, 7: 8276, 13: 496, 11: 2290, 14: 282, 17: 18, 12: 1026, 15: 100, 16: 37, 18: 2}, ("TwosAndThrees", 6, 2): {13: 1940, 9: 11416, 2: 4382, 11: 7676, 10: 5032, 6: 14157, 5: 11978, 8: 13344, 12: 4905, 3: 9661, 14: 2123, 15: 1026, 7: 6021, 0: 2944, 4: 2851, 16: 247, 17: 202, 18: 95}, ("TwosAndThrees", 6, 3): {9: 15493, 11: 11208, 2: 1507, 13: 2828, 15: 3924, 10: 4567, 6: 12595, 14: 5229, 5: 6758, 8: 12211, 12: 10862, 3: 5429, 7: 3404, 17: 912, 4: 933, 18: 529, 0: 977, 16: 634}, ("TwosAndThrees", 6, 4): {8: 9036, 15: 8762, 11: 12021, 10: 3287, 12: 16325, 9: 16299, 14: 8216, 18: 1928, 17: 2081, 6: 9147, 7: 1667, 4: 294, 2: 545, 16: 1007, 5: 3351, 3: 2723, 13: 2991, 0: 320}, ("TwosAndThrees", 6, 5): {15: 15030, 9: 14359, 13: 2648, 10: 2136, 12: 20394, 8: 5744, 6: 5681, 14: 10049, 11: 10563, 18: 4564, 17: 3669, 5: 1525, 3: 1189, 16: 1251, 2: 184, 7: 777, 4: 123, 0: 114}, ("TwosAndThrees", 6, 6): {11: 8492, 15: 21066, 12: 21369, 17: 5246, 6: 3342, 16: 1335, 14: 10649, 8: 3453, 18: 8568, 10: 1300, 9: 11370, 3: 543, 13: 2098, 5: 696, 7: 350, 2: 64, 4: 25, 0: 34}, ("TwosAndThrees", 6, 7): {18: 14118, 14: 10107, 17: 6654, 15: 26139, 12: 20371, 9: 8281, 13: 1535, 16: 1221, 3: 221, 11: 6214, 6: 1923, 8: 1973, 10: 715, 5: 334, 7: 158, 0: 14, 4: 5, 2: 17}, ("TwosAndThrees", 6, 8): {15: 29815, 18: 20433, 5: 123, 11: 4522, 12: 17854, 14: 8991, 17: 7602, 3: 107, 9: 5741, 8: 1043, 10: 416, 13: 1062, 16: 1197, 6: 1007, 7: 69, 0: 7, 2: 9, 4: 2}, ("TwosAndThrees", 7, 1): {8: 10304, 0: 5802, 2: 10380, 11: 3830, 7: 9559, 10: 5017, 5: 15384, 4: 7689, 3: 10100, 9: 6289, 13: 1211, 6: 11027, 12: 2088, 14: 735, 15: 309, 16: 177, 17: 59, 19: 11, 18: 27, 20: 2}, ("TwosAndThrees", 7, 2): {10: 6466, 0: 1605, 8: 13172, 7: 5824, 11: 9919, 13: 3610, 9: 11600, 14: 4206, 2: 2810, 6: 11269, 5: 9442, 12: 6844, 15: 2299, 3: 6242, 17: 923, 16: 966, 4: 2215, 18: 376, 19: 114, 20: 76, 21: 22}, ("TwosAndThrees", 7, 3): {6: 8288, 7: 2641, 3: 2956, 9: 13017, 8: 10013, 14: 8279, 16: 2082, 12: 12302, 11: 12133, 13: 4465, 18: 1968, 15: 6674, 10: 5028, 17: 3001, 5: 4265, 2: 792, 20: 437, 21: 258, 4: 558, 0: 471, 19: 372}, ("TwosAndThrees", 7, 4): {15: 12396, 9: 10994, 18: 5400, 21: 1006, 5: 1774, 17: 5917, 14: 10700, 12: 15357, 11: 11007, 20: 1270, 10: 3007, 8: 6030, 7: 1160, 6: 4949, 3: 1218, 13: 3950, 16: 2660, 2: 211, 19: 710, 4: 157, 0: 127}, ("TwosAndThrees", 7, 5): {17: 8259, 20: 2565, 15: 17220, 9: 8155, 5: 671, 18: 10513, 21: 2728, 6: 2533, 11: 8026, 12: 15164, 16: 2851, 8: 3249, 14: 11317, 13: 3008, 19: 1041, 4: 47, 7: 426, 10: 1653, 3: 478, 2: 56, 0: 40}, ("TwosAndThrees", 7, 6): {12: 13233, 14: 10114, 18: 16405, 15: 19936, 16: 2451, 21: 5650, 6: 1331, 20: 4044, 17: 9948, 11: 5449, 10: 827, 9: 5335, 19: 1171, 13: 1883, 8: 1584, 7: 180, 5: 249, 3: 166, 2: 18, 0: 9, 4: 17}, ("TwosAndThrees", 7, 7): {17: 10123, 20: 5583, 18: 22122, 15: 20423, 14: 7969, 21: 10113, 12: 10638, 11: 3321, 9: 3282, 16: 1910, 13: 1273, 19: 1293, 6: 591, 8: 779, 7: 55, 5: 86, 3: 59, 10: 368, 2: 4, 0: 6, 4: 2}, ("TwosAndThrees", 7, 8): {17: 9621, 21: 15780, 20: 6667, 12: 7854, 18: 26592, 14: 5885, 15: 19476, 5: 36, 8: 318, 19: 1247, 16: 1458, 9: 1983, 11: 1880, 13: 707, 6: 249, 10: 197, 7: 19, 3: 27, 2: 2, 0: 2}, ("TwosAndThrees", 8, 1): {12: 3210, 0: 3799, 7: 10309, 5: 13610, 10: 6648, 6: 10144, 3: 7840, 2: 7917, 9: 7504, 8: 11477, 4: 6794, 13: 2299, 11: 5342, 14: 1498, 16: 444, 15: 738, 17: 245, 19: 51, 18: 105, 20: 20, 21: 4, 22: 1, 23: 1}, ("TwosAndThrees", 8, 2): {11: 11041, 12: 8197, 5: 6900, 18: 1088, 9: 10605, 14: 6195, 8: 11961, 16: 2205, 10: 7327, 13: 5337, 6: 8536, 0: 902, 4: 1547, 15: 3891, 3: 4041, 7: 5214, 20: 384, 2: 1872, 17: 2062, 21: 155, 22: 37, 19: 479, 23: 17, 24: 7}, ("TwosAndThrees", 8, 3): {11: 11338, 12: 11675, 13: 5514, 15: 8898, 6: 5105, 17: 5667, 9: 9728, 8: 7389, 18: 3828, 22: 206, 19: 1391, 14: 10523, 16: 3854, 10: 4686, 7: 1931, 23: 227, 21: 1014, 20: 1681, 3: 1598, 4: 392, 5: 2625, 2: 422, 0: 201, 24: 107}, ("TwosAndThrees", 8, 4): {17: 9133, 12: 11960, 15: 13098, 16: 4254, 11: 8286, 9: 6908, 20: 3995, 21: 3323, 14: 11359, 10: 2363, 18: 8743, 13: 4118, 19: 2217, 8: 3661, 24: 520, 7: 648, 6: 2558, 23: 768, 22: 471, 3: 518, 2: 97, 5: 884, 4: 75, 0: 43}, ("TwosAndThrees", 8, 5): {21: 7245, 13: 2524, 16: 3469, 12: 9934, 11: 5061, 17: 10743, 15: 14970, 18: 14072, 24: 1671, 14: 9578, 10: 1007, 20: 6621, 6: 1110, 9: 4201, 19: 2728, 23: 1727, 8: 1714, 22: 848, 5: 316, 3: 188, 7: 211, 0: 16, 2: 16, 4: 30}, ("TwosAndThrees", 8, 6): {20: 8749, 15: 14205, 8: 683, 14: 7037, 18: 17783, 17: 10618, 23: 3141, 9: 2273, 24: 3858, 5: 96, 12: 7143, 21: 12731, 13: 1405, 11: 2957, 22: 1109, 19: 2548, 6: 474, 16: 2612, 10: 436, 3: 57, 7: 68, 2: 8, 4: 6, 0: 3}, ("TwosAndThrees", 8, 7): {21: 18331, 18: 19896, 20: 9757, 16: 1804, 23: 4503, 19: 2324, 24: 7305, 17: 8935, 12: 4725, 15: 12345, 22: 1237, 13: 775, 9: 1167, 14: 4727, 11: 1485, 6: 176, 8: 251, 10: 195, 3: 16, 7: 19, 5: 24, 0: 1, 4: 1, 2: 1}, ("TwosAndThrees", 8, 8): {21: 23586, 20: 10020, 15: 9640, 18: 19736, 24: 12112, 17: 7289, 23: 5802, 22: 1233, 14: 2918, 19: 1781, 12: 2912, 9: 557, 16: 1068, 13: 390, 11: 718, 8: 90, 6: 66, 7: 7, 10: 61, 5: 7, 3: 7}, ("SumOfOdds", 1, 1): {0: 50084, 3: 16584, 1: 16488, 5: 16844}, ("SumOfOdds", 1, 2): {0: 33472, 3: 27886, 1: 11017, 5: 27625}, ("SumOfOdds", 1, 3): {0: 27892, 5: 39809, 1: 9293, 3: 23006}, ("SumOfOdds", 1, 4): {3: 19299, 5: 49784, 0: 23060, 1: 7857}, ("SumOfOdds", 1, 5): {5: 58167, 3: 15941, 1: 6559, 0: 19333}, ("SumOfOdds", 1, 6): {5: 65098, 0: 16250, 1: 5428, 3: 13224}, ("SumOfOdds", 1, 7): {5: 70969, 3: 11191, 0: 13420, 1: 4420}, ("SumOfOdds", 1, 8): {5: 75949, 0: 11042, 3: 9361, 1: 3648}, ("SumOfOdds", 2, 1): {5: 16856, 8: 5540, 6: 8312, 4: 5580, 0: 24611, 1: 16800, 3: 16654, 2: 2815, 10: 2832}, ("SumOfOdds", 2, 2): {8: 15414, 3: 18386, 6: 13858, 0: 11216, 4: 6190, 5: 18558, 10: 7773, 1: 7355, 2: 1250}, ("SumOfOdds", 2, 3): {1: 5252, 6: 12709, 3: 12782, 8: 18363, 5: 22224, 10: 15919, 0: 7666, 4: 4273, 2: 812}, ("SumOfOdds", 2, 4): {3: 8914, 6: 11358, 5: 23132, 4: 2928, 10: 24940, 0: 5392, 1: 3585, 8: 19129, 2: 622}, ("SumOfOdds", 2, 5): {5: 22529, 0: 3735, 3: 6203, 4: 2093, 10: 33791, 8: 18712, 2: 415, 6: 10020, 1: 2502}, ("SumOfOdds", 2, 6): {0: 2606, 8: 17272, 6: 8852, 10: 42502, 3: 4279, 5: 20970, 1: 1769, 4: 1468, 2: 282}, ("SumOfOdds", 2, 7): {5: 19160, 8: 15860, 6: 7664, 10: 50054, 1: 1225, 3: 2939, 4: 1039, 0: 1872, 2: 187}, ("SumOfOdds", 2, 8): {5: 16853, 8: 14179, 10: 57618, 3: 2121, 6: 6400, 1: 781, 0: 1230, 4: 671, 2: 147}, ("SumOfOdds", 3, 1): {4: 8109, 5: 13902, 2: 4149, 8: 8321, 6: 12607, 1: 12587, 7: 2743, 3: 12861, 0: 12467, 9: 3339, 10: 4223, 11: 2801, 15: 479, 13: 1412}, ("SumOfOdds", 3, 2): {8: 15592, 1: 3633, 5: 10240, 13: 6362, 3: 9469, 10: 7709, 15: 2120, 6: 13852, 11: 9070, 9: 7284, 4: 6110, 7: 3557, 0: 3750, 2: 1252}, ("SumOfOdds", 3, 3): {6: 10744, 10: 13273, 7: 2564, 8: 15277, 3: 5427, 13: 11044, 11: 10759, 5: 9729, 15: 6204, 1: 2180, 9: 6354, 4: 3603, 0: 2140, 2: 702}, ("SumOfOdds", 3, 4): {8: 13319, 6: 7837, 11: 11288, 9: 5211, 13: 14216, 15: 12408, 4: 2122, 3: 3247, 10: 17343, 7: 1738, 5: 8380, 1: 1212, 0: 1265, 2: 414}, ("SumOfOdds", 3, 5): {11: 10985, 10: 19378, 13: 16370, 5: 6682, 6: 5931, 8: 10857, 9: 4058, 15: 19804, 7: 1250, 1: 660, 3: 1831, 2: 246, 4: 1236, 0: 712}, ("SumOfOdds", 3, 6): {15: 27548, 5: 5144, 13: 17133, 10: 20496, 8: 8411, 11: 10472, 6: 4205, 9: 2961, 1: 398, 2: 146, 3: 1070, 4: 746, 7: 864, 0: 406}, ("SumOfOdds", 3, 7): {8: 6397, 15: 35967, 10: 20125, 9: 2262, 5: 3882, 0: 233, 4: 399, 11: 9495, 13: 16763, 6: 3021, 7: 607, 1: 235, 3: 539, 2: 75}, ("SumOfOdds", 3, 8): {15: 43436, 6: 2174, 10: 19242, 13: 16221, 11: 8430, 8: 4737, 9: 1594, 5: 2863, 3: 352, 7: 406, 1: 130, 0: 146, 4: 214, 2: 55}, ("SumOfOdds", 4, 1): {11: 5334, 12: 1465, 5: 11215, 14: 1216, 3: 9225, 6: 12932, 1: 8440, 7: 5618, 4: 8433, 10: 5290, 0: 6192, 8: 9117, 16: 760, 9: 6474, 2: 4238, 13: 2744, 15: 930, 18: 299, 20: 78}, ("SumOfOdds", 4, 2): {7: 4928, 20: 589, 9: 9721, 14: 5301, 18: 2447, 13: 8342, 10: 7201, 4: 4099, 8: 11060, 15: 2925, 6: 9467, 3: 4253, 11: 11978, 12: 3975, 1: 1599, 16: 4530, 5: 5463, 0: 1267, 2: 855}, ("SumOfOdds", 4, 3): {15: 7108, 8: 9018, 10: 8843, 20: 2524, 18: 5690, 16: 7373, 9: 7238, 11: 11998, 12: 3466, 13: 12173, 14: 5857, 4: 2033, 6: 5991, 1: 817, 2: 382, 3: 2070, 5: 4051, 0: 579, 7: 2789}, ("SumOfOdds", 4, 4): {5: 2645, 14: 5928, 8: 6372, 11: 10474, 13: 13555, 12: 2765, 16: 9426, 15: 11453, 18: 9512, 10: 8758, 6: 3695, 20: 6196, 4: 912, 2: 187, 9: 4810, 3: 1009, 0: 295, 7: 1637, 1: 371}, ("SumOfOdds", 4, 5): {20: 11573, 11: 8461, 15: 15171, 8: 4270, 16: 10401, 13: 12479, 18: 12704, 14: 5099, 10: 8159, 6: 2313, 9: 3010, 5: 1893, 12: 2054, 4: 520, 7: 932, 1: 194, 3: 528, 0: 136, 2: 103}, ("SumOfOdds", 4, 6): {14: 4251, 10: 7130, 15: 17784, 11: 6594, 20: 17780, 18: 14865, 13: 11039, 16: 10571, 8: 2849, 9: 1928, 6: 1369, 12: 1509, 7: 583, 5: 1123, 0: 75, 3: 225, 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52, 14: 664, 16: 1568, 6: 26, 4: 2, 2: 1, 0: 1}, ("SumOfEvens", 6, 7): {30: 17083, 28: 15301, 22: 5154, 26: 9426, 32: 13001, 20: 2576, 34: 15604, 24: 8221, 36: 10524, 18: 1673, 16: 848, 14: 336, 12: 179, 10: 53, 6: 9, 8: 11, 4: 1}, ("SumOfEvens", 6, 8): {22: 3449, 36: 16329, 26: 7209, 32: 12842, 30: 18101, 34: 18840, 28: 13662, 20: 1500, 24: 6361, 18: 984, 16: 453, 14: 154, 12: 87, 10: 22, 8: 4, 4: 1, 6: 2}, ("SumOfEvens", 7, 1): {8: 8939, 24: 3564, 16: 11578, 12: 12690, 10: 11183, 18: 9725, 4: 3653, 6: 6451, 20: 7614, 14: 12463, 30: 591, 22: 5306, 28: 1178, 26: 2087, 32: 276, 0: 780, 2: 1804, 34: 79, 38: 9, 36: 28, 42: 1, 40: 1}, ("SumOfEvens", 7, 2): {20: 11747, 22: 12101, 18: 10694, 30: 4969, 34: 1637, 12: 4933, 28: 7140, 10: 3020, 16: 9103, 14: 7121, 26: 9407, 40: 95, 32: 2990, 24: 10947, 8: 1631, 6: 866, 36: 742, 38: 279, 4: 405, 2: 118, 0: 44, 42: 11}, ("SumOfEvens", 7, 3): {28: 12644, 18: 5753, 22: 10305, 30: 10884, 24: 12043, 34: 5494, 26: 13153, 32: 8457, 20: 8013, 36: 3227, 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6864, 44: 2425, 18: 1160, 36: 11307, 22: 3304, 48: 216, 24: 4882, 10: 59, 46: 1035, 20: 1982, 14: 294, 6: 8, 12: 167, 8: 26, 2: 2, 4: 1, 0: 1}, ("SumOfEvens", 8, 5): {40: 10958, 36: 12458, 30: 8178, 34: 12180, 38: 12260, 24: 2712, 42: 7933, 28: 6229, 32: 10485, 14: 108, 22: 1654, 46: 2920, 26: 4229, 20: 918, 44: 5192, 48: 814, 16: 222, 18: 467, 8: 11, 6: 3, 4: 1, 10: 17, 12: 51}, ("SumOfEvens", 8, 6): {36: 12064, 48: 2382, 26: 2376, 24: 1455, 44: 8361, 28: 3916, 40: 13920, 42: 11359, 38: 12862, 32: 7846, 46: 5912, 30: 5727, 34: 10367, 18: 208, 16: 78, 22: 753, 20: 361, 14: 30, 10: 6, 12: 15, 6: 1, 8: 1}, ("SumOfEvens", 8, 7): {34: 8619, 42: 13899, 32: 5303, 36: 10651, 30: 3778, 46: 10004, 28: 2390, 38: 12089, 40: 14999, 44: 10574, 48: 5042, 8: 3, 26: 1228, 24: 767, 22: 381, 18: 74, 20: 152, 16: 27, 12: 5, 14: 11, 10: 4}, ("SumOfEvens", 8, 8): {40: 14996, 38: 10354, 46: 13670, 42: 16214, 48: 9039, 30: 2458, 32: 3565, 36: 8996, 44: 11803, 34: 6358, 26: 611, 28: 1321, 24: 352, 22: 163, 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30189, 6: 10005, 0: 4307}, ("DoubleThreesAndFours", 2, 6): {14: 25326, 16: 39078, 0: 2879, 12: 4204, 8: 21466, 6: 7047}, ("DoubleThreesAndFours", 2, 7): {16: 47373, 8: 19698, 14: 23404, 6: 4637, 12: 2846, 0: 2042}, ("DoubleThreesAndFours", 2, 8): {16: 54542, 14: 20907, 0: 1385, 8: 17795, 6: 3373, 12: 1998}, ("DoubleThreesAndFours", 3, 1): {8: 22138, 0: 29378, 24: 480, 6: 22335, 14: 11232, 12: 5551, 16: 5702, 22: 1429, 20: 1344, 18: 411}, ("DoubleThreesAndFours", 3, 2): {6: 16518, 0: 8894, 14: 20757, 24: 2162, 16: 10163, 8: 16277, 12: 10334, 20: 6399, 18: 2102, 22: 6394}, ("DoubleThreesAndFours", 3, 3): {20: 12900, 6: 9270, 18: 4335, 8: 9252, 22: 13101, 14: 21922, 12: 11066, 16: 11045, 0: 2643, 24: 4466}, ("DoubleThreesAndFours", 3, 4): {14: 20310, 16: 15697, 8: 8330, 12: 6223, 6: 5443, 20: 11695, 24: 9679, 22: 18521, 0: 1523, 18: 2579}, ("DoubleThreesAndFours", 3, 5): {24: 16491, 14: 16545, 12: 3700, 20: 9740, 22: 22168, 16: 18825, 8: 7038, 6: 3180, 18: 1468, 0: 845}, 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260, 18: 256, 6: 86, 0: 16}, ("DoubleThreesAndFours", 5, 7): {34: 2268, 38: 19248, 32: 16368, 16: 1354, 40: 15233, 24: 6675, 18: 105, 22: 4805, 36: 9333, 30: 15652, 28: 5843, 26: 957, 8: 123, 20: 1203, 14: 710, 12: 85, 6: 31, 0: 7}, ("DoubleThreesAndFours", 5, 8): {40: 21990, 36: 8113, 24: 5723, 32: 18163, 38: 21064, 30: 13694, 28: 3938, 22: 3183, 34: 1518, 16: 957, 26: 458, 14: 358, 20: 677, 8: 62, 12: 38, 18: 44, 6: 18, 0: 2}, ("DoubleThreesAndFours", 6, 1): {0: 8738, 22: 8265, 20: 8158, 28: 3123, 8: 12988, 26: 2034, 24: 3198, 6: 13463, 12: 8147, 14: 16506, 30: 2139, 16: 8267, 18: 2801, 32: 737, 38: 251, 36: 521, 34: 482, 42: 45, 44: 31, 40: 89, 46: 16, 48: 1}, ("DoubleThreesAndFours", 6, 2): {20: 11349, 18: 3691, 30: 7553, 40: 1118, 16: 4479, 26: 6877, 8: 2801, 14: 8843, 22: 11356, 28: 10790, 24: 5588, 34: 4398, 6: 2934, 42: 878, 32: 3974, 36: 4501, 12: 4564, 38: 2498, 0: 784, 46: 267, 44: 700, 48: 57}, ("DoubleThreesAndFours", 6, 3): {30: 9057, 28: 12114, 38: 6065, 36: 9738, 34: 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{20: 31331, 0: 68669}, ("ThreeOdds", 4, 2): {0: 26140, 20: 73860}, ("ThreeOdds", 4, 3): {20: 92163, 0: 7837}, ("ThreeOdds", 4, 4): {20: 97831, 0: 2169}, ("ThreeOdds", 4, 5): {20: 99484, 0: 516}, ("ThreeOdds", 4, 6): {20: 99844, 0: 156}, ("ThreeOdds", 4, 7): {20: 99960, 0: 40}, ("ThreeOdds", 4, 8): {20: 99988, 0: 12}, ("ThreeOdds", 5, 1): {0: 49908, 20: 50092}, ("ThreeOdds", 5, 2): {20: 89627, 0: 10373}, ("ThreeOdds", 5, 3): {20: 98360, 0: 1640}, ("ThreeOdds", 5, 4): {20: 99777, 0: 223}, ("ThreeOdds", 5, 5): {20: 99976, 0: 24}, ("ThreeOdds", 5, 6): {20: 99997, 0: 3}, ("ThreeOdds", 5, 7): {20: 99999, 0: 1}, ("ThreeOdds", 5, 8): {20: 100000}, ("ThreeOdds", 6, 1): {20: 65434, 0: 34566}, ("ThreeOdds", 6, 2): {20: 96234, 0: 3766}, ("ThreeOdds", 6, 3): {20: 99709, 0: 291}, ("ThreeOdds", 6, 4): {20: 99978, 0: 22}, ("ThreeOdds", 6, 5): {20: 100000}, ("ThreeOdds", 6, 6): {20: 100000}, ("ThreeOdds", 6, 7): {20: 100000}, ("ThreeOdds", 6, 8): {20: 100000}, ("ThreeOdds", 7, 1): {20: 77278, 0: 22722}, ("ThreeOdds", 7, 2): {20: 98709, 0: 1291}, ("ThreeOdds", 7, 3): {20: 99962, 0: 38}, ("ThreeOdds", 7, 4): {20: 99998, 0: 2}, ("ThreeOdds", 7, 5): {20: 100000}, ("ThreeOdds", 7, 6): {20: 100000}, ("ThreeOdds", 7, 7): {20: 100000}, ("ThreeOdds", 7, 8): {20: 100000}, ("ThreeOdds", 8, 1): {20: 85444, 0: 14556}, ("ThreeOdds", 8, 2): {20: 99570, 0: 430}, ("ThreeOdds", 8, 3): {20: 99997, 0: 3}, ("ThreeOdds", 8, 4): {20: 100000}, ("ThreeOdds", 8, 5): {20: 100000}, ("ThreeOdds", 8, 6): {20: 100000}, ("ThreeOdds", 8, 7): {20: 100000}, ("ThreeOdds", 8, 8): {20: 100000}, ("OneTwoOneConsecutive", 1, 1): {0: 100000}, ("OneTwoOneConsecutive", 1, 2): {0: 100000}, ("OneTwoOneConsecutive", 1, 3): {0: 100000}, ("OneTwoOneConsecutive", 1, 4): {0: 100000}, ("OneTwoOneConsecutive", 1, 5): {0: 100000}, ("OneTwoOneConsecutive", 1, 6): {0: 100000}, ("OneTwoOneConsecutive", 1, 7): {0: 100000}, ("OneTwoOneConsecutive", 1, 8): {0: 100000}, ("OneTwoOneConsecutive", 2, 1): {0: 100000}, ("OneTwoOneConsecutive", 2, 2): {0: 100000}, ("OneTwoOneConsecutive", 2, 3): {0: 100000}, ("OneTwoOneConsecutive", 2, 4): {0: 100000}, ("OneTwoOneConsecutive", 2, 5): {0: 100000}, ("OneTwoOneConsecutive", 2, 6): {0: 100000}, ("OneTwoOneConsecutive", 2, 7): {0: 100000}, ("OneTwoOneConsecutive", 2, 8): {0: 100000}, ("OneTwoOneConsecutive", 3, 1): {0: 100000}, ("OneTwoOneConsecutive", 3, 2): {0: 100000}, ("OneTwoOneConsecutive", 3, 3): {0: 100000}, ("OneTwoOneConsecutive", 3, 4): {0: 100000}, ("OneTwoOneConsecutive", 3, 5): {0: 100000}, ("OneTwoOneConsecutive", 3, 6): {0: 100000}, ("OneTwoOneConsecutive", 3, 7): {0: 100000}, ("OneTwoOneConsecutive", 3, 8): {0: 100000}, ("OneTwoOneConsecutive", 4, 1): {0: 96371, 30: 3629}, ("OneTwoOneConsecutive", 4, 2): {30: 13395, 0: 86605}, ("OneTwoOneConsecutive", 4, 3): {0: 75037, 30: 24963}, ("OneTwoOneConsecutive", 4, 4): {30: 36344, 0: 63656}, ("OneTwoOneConsecutive", 4, 5): {30: 46131, 0: 53869}, ("OneTwoOneConsecutive", 4, 6): {30: 54869, 0: 45131}, ("OneTwoOneConsecutive", 4, 7): {30: 62465, 0: 37535}, ("OneTwoOneConsecutive", 4, 8): {30: 68575, 0: 31425}, ("OneTwoOneConsecutive", 5, 1): {0: 86632, 30: 13368}, ("OneTwoOneConsecutive", 5, 2): {0: 62779, 30: 37221}, ("OneTwoOneConsecutive", 5, 3): {30: 53966, 0: 46034}, ("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, ("OneTwoOneConsecutive", 5, 6): {30: 76850, 0: 23150}, ("OneTwoOneConsecutive", 5, 7): {30: 80423, 0: 19577}, ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, ("OneTwoOneConsecutive", 7, 5): {30: 92280, 0: 7720}, ("OneTwoOneConsecutive", 7, 6): {30: 94446, 0: 5554}, ("OneTwoOneConsecutive", 7, 7): {30: 95894, 0: 4106}, ("OneTwoOneConsecutive", 7, 8): {30: 96975, 0: 3025}, ("OneTwoOneConsecutive", 8, 1): {30: 59307, 0: 40693}, ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, ("OneTwoOneConsecutive", 8, 3): {30: 91805, 0: 8195}, ("OneTwoOneConsecutive", 8, 4): {30: 94617, 0: 5383}, ("OneTwoOneConsecutive", 8, 5): {30: 96605, 0: 3395}, ("OneTwoOneConsecutive", 8, 6): {30: 97701, 0: 2299}, ("OneTwoOneConsecutive", 8, 7): {30: 98588, 0: 1412}, ("OneTwoOneConsecutive", 8, 8): {30: 99128, 0: 872}, ("ThreeDistinctDice", 1, 1): {0: 100000}, ("ThreeDistinctDice", 1, 2): {0: 100000}, ("ThreeDistinctDice", 1, 3): {0: 100000}, ("ThreeDistinctDice", 1, 4): {0: 100000}, ("ThreeDistinctDice", 1, 5): {0: 100000}, ("ThreeDistinctDice", 1, 6): {0: 100000}, ("ThreeDistinctDice", 1, 7): {0: 100000}, ("ThreeDistinctDice", 1, 8): {0: 100000}, ("ThreeDistinctDice", 2, 1): {0: 100000}, ("ThreeDistinctDice", 2, 2): {0: 100000}, ("ThreeDistinctDice", 2, 3): {0: 100000}, ("ThreeDistinctDice", 2, 4): {0: 100000}, ("ThreeDistinctDice", 2, 5): {0: 100000}, ("ThreeDistinctDice", 2, 6): {0: 100000}, ("ThreeDistinctDice", 2, 7): {0: 100000}, ("ThreeDistinctDice", 2, 8): {0: 100000}, ("ThreeDistinctDice", 3, 1): {20: 55293, 0: 44707}, ("ThreeDistinctDice", 3, 2): {0: 15078, 20: 84922}, ("ThreeDistinctDice", 3, 3): {20: 94944, 0: 5056}, ("ThreeDistinctDice", 3, 4): {0: 1688, 20: 98312}, ("ThreeDistinctDice", 3, 5): {20: 99484, 0: 516}, ("ThreeDistinctDice", 3, 6): {20: 99818, 0: 182}, ("ThreeDistinctDice", 3, 7): {20: 99944, 0: 56}, ("ThreeDistinctDice", 3, 8): {20: 99985, 0: 15}, ("ThreeDistinctDice", 4, 1): {20: 83279, 0: 16721}, ("ThreeDistinctDice", 4, 2): {20: 98174, 0: 1826}, ("ThreeDistinctDice", 4, 3): {20: 99797, 0: 203}, ("ThreeDistinctDice", 4, 4): {20: 99982, 0: 18}, ("ThreeDistinctDice", 4, 5): {20: 99997, 0: 3}, ("ThreeDistinctDice", 4, 6): {20: 100000}, ("ThreeDistinctDice", 4, 7): {20: 100000}, ("ThreeDistinctDice", 4, 8): {20: 100000}, ("ThreeDistinctDice", 5, 1): {0: 5904, 20: 94096}, ("ThreeDistinctDice", 5, 2): {20: 99764, 0: 236}, ("ThreeDistinctDice", 5, 3): {20: 99988, 0: 12}, ("ThreeDistinctDice", 5, 4): {20: 100000}, ("ThreeDistinctDice", 5, 5): {20: 100000}, ("ThreeDistinctDice", 5, 6): {20: 100000}, ("ThreeDistinctDice", 5, 7): {20: 100000}, ("ThreeDistinctDice", 5, 8): {20: 100000}, ("ThreeDistinctDice", 6, 1): {20: 98008, 0: 1992}, ("ThreeDistinctDice", 6, 2): {20: 99979, 0: 21}, ("ThreeDistinctDice", 6, 3): {20: 100000}, ("ThreeDistinctDice", 6, 4): {20: 100000}, ("ThreeDistinctDice", 6, 5): {20: 100000}, ("ThreeDistinctDice", 6, 6): {20: 100000}, ("ThreeDistinctDice", 6, 7): {20: 100000}, ("ThreeDistinctDice", 6, 8): {20: 100000}, ("ThreeDistinctDice", 7, 1): {20: 99308, 0: 692}, ("ThreeDistinctDice", 7, 2): {20: 99996, 0: 4}, ("ThreeDistinctDice", 7, 3): {20: 100000}, ("ThreeDistinctDice", 7, 4): {20: 100000}, ("ThreeDistinctDice", 7, 5): {20: 100000}, ("ThreeDistinctDice", 7, 6): {20: 100000}, ("ThreeDistinctDice", 7, 7): {20: 100000}, ("ThreeDistinctDice", 7, 8): {20: 100000}, ("ThreeDistinctDice", 8, 1): {20: 99757, 0: 243}, ("ThreeDistinctDice", 8, 2): {20: 99999, 0: 1}, ("ThreeDistinctDice", 8, 3): {20: 100000}, ("ThreeDistinctDice", 8, 4): {20: 100000}, ("ThreeDistinctDice", 8, 5): {20: 100000}, ("ThreeDistinctDice", 8, 6): {20: 100000}, ("ThreeDistinctDice", 8, 7): {20: 100000}, ("ThreeDistinctDice", 8, 8): {20: 100000}, ("TwoPair", 1, 1): {0: 100000}, ("TwoPair", 1, 2): {0: 100000}, ("TwoPair", 1, 3): {0: 100000}, ("TwoPair", 1, 4): {0: 100000}, ("TwoPair", 1, 5): {0: 100000}, ("TwoPair", 1, 6): {0: 100000}, ("TwoPair", 1, 7): {0: 100000}, ("TwoPair", 1, 8): {0: 100000}, ("TwoPair", 2, 1): {0: 100000}, ("TwoPair", 2, 2): {0: 100000}, ("TwoPair", 2, 3): {0: 100000}, ("TwoPair", 2, 4): {0: 100000}, ("TwoPair", 2, 5): {0: 100000}, ("TwoPair", 2, 6): {0: 100000}, ("TwoPair", 2, 7): {0: 100000}, ("TwoPair", 2, 8): {0: 100000}, ("TwoPair", 3, 1): {0: 100000}, ("TwoPair", 3, 2): {0: 100000}, ("TwoPair", 3, 3): {0: 100000}, ("TwoPair", 3, 4): {0: 100000}, ("TwoPair", 3, 5): {0: 100000}, ("TwoPair", 3, 6): {0: 100000}, ("TwoPair", 3, 7): {0: 100000}, ("TwoPair", 3, 8): {0: 100000}, ("TwoPair", 4, 1): {0: 93065, 30: 6935}, ("TwoPair", 4, 2): {0: 82102, 30: 17898}, ("TwoPair", 4, 3): {0: 71209, 30: 28791}, ("TwoPair", 4, 4): {0: 61609, 30: 38391}, ("TwoPair", 4, 5): {30: 46964, 0: 53036}, ("TwoPair", 4, 6): {0: 45705, 30: 54295}, ("TwoPair", 4, 7): {0: 39398, 30: 60602}, ("TwoPair", 4, 8): {30: 66327, 0: 33673}, ("TwoPair", 5, 1): {30: 27153, 0: 72847}, ("TwoPair", 5, 2): {30: 53241, 0: 46759}, ("TwoPair", 5, 3): {30: 70538, 0: 29462}, ("TwoPair", 5, 4): {30: 81649, 0: 18351}, ("TwoPair", 5, 5): {30: 88207, 0: 11793}, ("TwoPair", 5, 6): {30: 92615, 0: 7385}, ("TwoPair", 5, 7): {30: 95390, 0: 4610}, ("TwoPair", 5, 8): {30: 97062, 0: 2938}, ("TwoPair", 6, 1): {30: 55569, 0: 44431}, ("TwoPair", 6, 2): {30: 82817, 0: 17183}, ("TwoPair", 6, 3): {30: 93241, 0: 6759}, ("TwoPair", 6, 4): {30: 97438, 0: 2562}, ("TwoPair", 6, 5): {30: 99052, 0: 948}, ("TwoPair", 6, 6): {30: 99625, 0: 375}, ("TwoPair", 6, 7): {30: 99862, 0: 138}, ("TwoPair", 6, 8): {30: 99943, 0: 57}, ("TwoPair", 7, 1): {0: 19888, 30: 80112}, ("TwoPair", 7, 2): {30: 96065, 0: 3935}, ("TwoPair", 7, 3): {30: 99199, 0: 801}, ("TwoPair", 7, 4): {30: 99825, 0: 175}, ("TwoPair", 7, 5): {30: 99969, 0: 31}, ("TwoPair", 7, 6): {30: 99993, 0: 7}, ("TwoPair", 7, 7): {30: 99998, 0: 2}, ("TwoPair", 7, 8): {30: 100000}, ("TwoPair", 8, 1): {30: 93209, 0: 6791}, ("TwoPair", 8, 2): {30: 99412, 0: 588}, ("TwoPair", 8, 3): {30: 99939, 0: 61}, ("TwoPair", 8, 4): {30: 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("TwoOneTwoConsecutive", 3, 4): {0: 100000}, ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, ("FiveDistinctDice", 1, 1): {0: 100000}, ("FiveDistinctDice", 1, 2): {0: 100000}, ("FiveDistinctDice", 1, 3): {0: 100000}, ("FiveDistinctDice", 1, 4): {0: 100000}, ("FiveDistinctDice", 1, 5): {0: 100000}, ("FiveDistinctDice", 1, 6): {0: 100000}, ("FiveDistinctDice", 1, 7): {0: 100000}, ("FiveDistinctDice", 1, 8): {0: 100000}, ("FiveDistinctDice", 2, 1): {0: 100000}, ("FiveDistinctDice", 2, 2): {0: 100000}, ("FiveDistinctDice", 2, 3): {0: 100000}, ("FiveDistinctDice", 2, 4): {0: 100000}, ("FiveDistinctDice", 2, 5): {0: 100000}, ("FiveDistinctDice", 2, 6): {0: 100000}, ("FiveDistinctDice", 2, 7): {0: 100000}, ("FiveDistinctDice", 2, 8): {0: 100000}, ("FiveDistinctDice", 3, 1): {0: 100000}, ("FiveDistinctDice", 3, 2): {0: 100000}, ("FiveDistinctDice", 3, 3): {0: 100000}, ("FiveDistinctDice", 3, 4): {0: 100000}, ("FiveDistinctDice", 3, 5): {0: 100000}, ("FiveDistinctDice", 3, 6): {0: 100000}, ("FiveDistinctDice", 3, 7): {0: 100000}, ("FiveDistinctDice", 3, 8): {0: 100000}, ("FiveDistinctDice", 4, 1): {0: 100000}, ("FiveDistinctDice", 4, 2): {0: 100000}, ("FiveDistinctDice", 4, 3): {0: 100000}, ("FiveDistinctDice", 4, 4): {0: 100000}, ("FiveDistinctDice", 4, 5): {0: 100000}, ("FiveDistinctDice", 4, 6): {0: 100000}, ("FiveDistinctDice", 4, 7): {0: 100000}, ("FiveDistinctDice", 4, 8): {0: 100000}, ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, ("FourAndFiveFullHouse", 1, 1): {0: 100000}, ("FourAndFiveFullHouse", 1, 2): {0: 100000}, ("FourAndFiveFullHouse", 1, 3): {0: 100000}, ("FourAndFiveFullHouse", 1, 4): {0: 100000}, ("FourAndFiveFullHouse", 1, 5): {0: 100000}, ("FourAndFiveFullHouse", 1, 6): {0: 100000}, ("FourAndFiveFullHouse", 1, 7): {0: 100000}, ("FourAndFiveFullHouse", 1, 8): {0: 100000}, ("FourAndFiveFullHouse", 2, 1): {0: 100000}, ("FourAndFiveFullHouse", 2, 2): {0: 100000}, ("FourAndFiveFullHouse", 2, 3): {0: 100000}, ("FourAndFiveFullHouse", 2, 4): {0: 100000}, ("FourAndFiveFullHouse", 2, 5): {0: 100000}, ("FourAndFiveFullHouse", 2, 6): {0: 100000}, ("FourAndFiveFullHouse", 2, 7): {0: 100000}, ("FourAndFiveFullHouse", 2, 8): {0: 100000}, ("FourAndFiveFullHouse", 3, 1): {0: 100000}, ("FourAndFiveFullHouse", 3, 2): {0: 100000}, ("FourAndFiveFullHouse", 3, 3): {0: 100000}, ("FourAndFiveFullHouse", 3, 4): {0: 100000}, ("FourAndFiveFullHouse", 3, 5): {0: 100000}, ("FourAndFiveFullHouse", 3, 6): {0: 100000}, ("FourAndFiveFullHouse", 3, 7): {0: 100000}, ("FourAndFiveFullHouse", 3, 8): {0: 100000}, ("FourAndFiveFullHouse", 4, 1): {0: 100000}, ("FourAndFiveFullHouse", 4, 2): {0: 100000}, ("FourAndFiveFullHouse", 4, 3): {0: 100000}, ("FourAndFiveFullHouse", 4, 4): {0: 100000}, ("FourAndFiveFullHouse", 4, 5): {0: 100000}, ("FourAndFiveFullHouse", 4, 6): {0: 100000}, ("FourAndFiveFullHouse", 4, 7): {0: 100000}, ("FourAndFiveFullHouse", 4, 8): {0: 100000}, ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}} +yacht_weights = { + ("Ones", 0, 0): {0: 100000}, + ("Ones", 0, 1): {0: 100000}, + ("Ones", 0, 2): {0: 100000}, + ("Ones", 0, 3): {0: 100000}, + ("Ones", 0, 4): {0: 100000}, + ("Ones", 0, 5): {0: 100000}, + ("Ones", 0, 6): {0: 100000}, + ("Ones", 0, 7): {0: 100000}, + ("Ones", 0, 8): {0: 100000}, + ("Ones", 1, 0): {0: 100000}, + ("Ones", 1, 1): {0: 83416, 1: 16584}, + ("Ones", 1, 2): {0: 69346, 1: 30654}, + ("Ones", 1, 3): {0: 57756, 1: 42244}, + ("Ones", 1, 4): {0: 48709, 1: 51291}, + ("Ones", 1, 5): {1: 59786, 0: 40214}, + ("Ones", 1, 6): {1: 66509, 0: 33491}, + ("Ones", 1, 7): {1: 72162, 0: 27838}, + ("Ones", 1, 8): {0: 23094, 1: 76906}, + ("Ones", 2, 0): {0: 100000}, + ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, + ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, + ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, + ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, + ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, + ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, + ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, + ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, + ("Ones", 3, 0): {0: 100000}, + ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, + ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, + ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, + ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, + ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, + ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, + ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, + ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, + ("Ones", 4, 0): {0: 100000}, + ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, + ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, + ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, + ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, + ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, + ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, + ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, + ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, + ("Ones", 5, 0): {0: 100000}, + ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, + ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, + ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, + ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, + ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 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{6: 37142, 2: 16979, 4: 43684, 0: 2195}, + ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, + ("Twos", 4, 0): {0: 100000}, + ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, + ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, + ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, + ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, + ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, + ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, + ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, + ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, + ("Twos", 5, 0): {0: 100000}, + ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, + ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, + ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, + ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 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("TwoOneTwoConsecutive", 3, 5): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, + ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, + ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, + ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, + ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, + ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, + ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, + ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, + ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, + ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, + ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, + ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, + ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, + ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, + ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, + ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, + ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, + ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, + ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, + ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, + ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, + ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, + ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, + ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, + ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, + ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, + ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, + ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, + ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, + ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, + ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, + ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, + ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, + ("FiveDistinctDice", 1, 1): {0: 100000}, + ("FiveDistinctDice", 1, 2): {0: 100000}, + ("FiveDistinctDice", 1, 3): {0: 100000}, + ("FiveDistinctDice", 1, 4): {0: 100000}, + ("FiveDistinctDice", 1, 5): {0: 100000}, + ("FiveDistinctDice", 1, 6): {0: 100000}, + ("FiveDistinctDice", 1, 7): {0: 100000}, + ("FiveDistinctDice", 1, 8): {0: 100000}, + ("FiveDistinctDice", 2, 1): {0: 100000}, + ("FiveDistinctDice", 2, 2): {0: 100000}, + ("FiveDistinctDice", 2, 3): {0: 100000}, + ("FiveDistinctDice", 2, 4): {0: 100000}, + ("FiveDistinctDice", 2, 5): {0: 100000}, + ("FiveDistinctDice", 2, 6): {0: 100000}, + ("FiveDistinctDice", 2, 7): {0: 100000}, + ("FiveDistinctDice", 2, 8): {0: 100000}, + ("FiveDistinctDice", 3, 1): {0: 100000}, + ("FiveDistinctDice", 3, 2): {0: 100000}, + ("FiveDistinctDice", 3, 3): {0: 100000}, + ("FiveDistinctDice", 3, 4): {0: 100000}, + ("FiveDistinctDice", 3, 5): {0: 100000}, + ("FiveDistinctDice", 3, 6): {0: 100000}, + ("FiveDistinctDice", 3, 7): {0: 100000}, + ("FiveDistinctDice", 3, 8): {0: 100000}, + ("FiveDistinctDice", 4, 1): {0: 100000}, + ("FiveDistinctDice", 4, 2): {0: 100000}, + ("FiveDistinctDice", 4, 3): {0: 100000}, + ("FiveDistinctDice", 4, 4): {0: 100000}, + ("FiveDistinctDice", 4, 5): {0: 100000}, + ("FiveDistinctDice", 4, 6): {0: 100000}, + ("FiveDistinctDice", 4, 7): {0: 100000}, + ("FiveDistinctDice", 4, 8): {0: 100000}, + ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, + ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, + ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, + ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, + ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, + ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, + ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, + ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, + ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, + ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, + ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, + ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, + ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, + ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, + ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, + ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, + ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, + ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, + ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, + ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, + ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, + ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, + ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, + ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, + ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, + ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, + ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, + ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, + ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, + ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, + ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, + ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, + ("FourAndFiveFullHouse", 1, 1): {0: 100000}, + ("FourAndFiveFullHouse", 1, 2): {0: 100000}, + ("FourAndFiveFullHouse", 1, 3): {0: 100000}, + ("FourAndFiveFullHouse", 1, 4): {0: 100000}, + ("FourAndFiveFullHouse", 1, 5): {0: 100000}, + ("FourAndFiveFullHouse", 1, 6): {0: 100000}, + ("FourAndFiveFullHouse", 1, 7): {0: 100000}, + ("FourAndFiveFullHouse", 1, 8): {0: 100000}, + ("FourAndFiveFullHouse", 2, 1): {0: 100000}, + ("FourAndFiveFullHouse", 2, 2): {0: 100000}, + ("FourAndFiveFullHouse", 2, 3): {0: 100000}, + ("FourAndFiveFullHouse", 2, 4): {0: 100000}, + ("FourAndFiveFullHouse", 2, 5): {0: 100000}, + ("FourAndFiveFullHouse", 2, 6): {0: 100000}, + ("FourAndFiveFullHouse", 2, 7): {0: 100000}, + ("FourAndFiveFullHouse", 2, 8): {0: 100000}, + ("FourAndFiveFullHouse", 3, 1): {0: 100000}, + ("FourAndFiveFullHouse", 3, 2): {0: 100000}, + ("FourAndFiveFullHouse", 3, 3): {0: 100000}, + ("FourAndFiveFullHouse", 3, 4): {0: 100000}, + ("FourAndFiveFullHouse", 3, 5): {0: 100000}, + ("FourAndFiveFullHouse", 3, 6): {0: 100000}, + ("FourAndFiveFullHouse", 3, 7): {0: 100000}, + ("FourAndFiveFullHouse", 3, 8): {0: 100000}, + ("FourAndFiveFullHouse", 4, 1): {0: 100000}, + ("FourAndFiveFullHouse", 4, 2): {0: 100000}, + ("FourAndFiveFullHouse", 4, 3): {0: 100000}, + ("FourAndFiveFullHouse", 4, 4): {0: 100000}, + ("FourAndFiveFullHouse", 4, 5): {0: 100000}, + ("FourAndFiveFullHouse", 4, 6): {0: 100000}, + ("FourAndFiveFullHouse", 4, 7): {0: 100000}, + ("FourAndFiveFullHouse", 4, 8): {0: 100000}, + ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, + ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, + ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, + ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, + ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, + ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, + ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, + ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, + ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, + ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, + ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, + ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, + ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, + ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, + ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, + ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, + ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, + ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, + ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, + ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, + ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, + ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, + ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, + ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, + ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, + ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, + ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, + ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, + ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, + ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, + ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, + ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, +} diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index c1a930ddbf33..2a4a4b68022e 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -11,28 +11,30 @@ class YachtDiceWeb(WebWorld): - tutorials = [Tutorial( - "Multiworld Setup Guide", - "A guide to setting up Yacht Dice. This guide covers " - "single-player, multiworld, and website.", - "English", - "setup_en.md", - "setup/en", - ["Spineraks"] - )] + tutorials = [ + Tutorial( + "Multiworld Setup Guide", + "A guide to setting up Yacht Dice. This guide covers " "single-player, multiworld, and website.", + "English", + "setup_en.md", + "setup/en", + ["Spineraks"], + ) + ] option_groups = yd_option_groups class YachtDiceWorld(World): """ - Yacht Dice is a straightforward game, custom-made for Archipelago, - where you cast your dice to chart a course for high scores, - unlocking valuable treasures along the way. - Discover more dice, extra rolls, multipliers, - and unlockable categories to navigate the depths of the game. + Yacht Dice is a straightforward game, custom-made for Archipelago, + where you cast your dice to chart a course for high scores, + unlocking valuable treasures along the way. + Discover more dice, extra rolls, multipliers, + and unlockable categories to navigate the depths of the game. Roll your way to victory by reaching the target score! """ + game: str = "Yacht Dice" options_dataclass = YachtDiceOptions @@ -103,7 +105,7 @@ def generate_early(self): ["Category Small Straight", "Category Two Pair"], ["Category Large Straight", "Category 2-1-2 Consecutive"], ["Category Full House", "Category Five Distinct Dice"], - ["Category Yacht", "Category 4&5 Full House"] + ["Category Yacht", "Category 4&5 Full House"], ] # categories used in this game. @@ -159,7 +161,7 @@ def generate_early(self): self.options.weight_of_fixed_score_multiplier.value, self.options.weight_of_step_score_multiplier.value, self.options.weight_of_double_category.value, - self.options.weight_of_points.value + self.options.weight_of_points.value, ] # if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice @@ -209,13 +211,13 @@ def generate_early(self): self.itempool += ["Dice"] else: self.itempool += ["Dice Fragment"] - weights[0] /= (1 + frags_per_dice) + weights[0] /= 1 + frags_per_dice elif which_item_to_add == 1: if frags_per_roll == 1: self.itempool += ["Roll"] else: self.itempool += ["Roll Fragment"] - weights[1] /= (1 + frags_per_roll) + weights[1] /= 1 + frags_per_roll elif which_item_to_add == 2: self.itempool += ["Fixed Score Multiplier"] weights[2] /= 1.05 @@ -310,16 +312,16 @@ def generate_early(self): p = 1.1 - 0.25 * self.options.game_difficulty.value already_items = len(self.itempool) + self.extra_plando_items + 1 self.itempool += self.multiworld.random.choices( - ["Good RNG", "Bad RNG"], - weights=[p, 1 - p], - k=self.number_of_locations - already_items + ["Good RNG", "Bad RNG"], weights=[p, 1 - p], k=self.number_of_locations - already_items ) # we are done adding items. Now because of the last step, number of items should be number of locations already_items = len(self.itempool) + self.extra_plando_items + 1 if already_items != self.number_of_locations: - raise Exception(f"[Yacht Dice] Number in self.itempool is not number of locations " - f"{already_items} {self.number_of_locations}.") + raise Exception( + f"[Yacht Dice] Number in self.itempool is not number of locations " + f"{already_items} {self.number_of_locations}." + ) # add precollected items using push_precollected. Items in self.itempool get created in create_items for item in self.precollected: @@ -334,16 +336,20 @@ def create_items(self): def create_regions(self): # call the ini_locations function, that generates locations based on the inputs. - location_table, goal_index = ini_locations(self.goal_score, self.max_score, self.number_of_locations, - self.options.game_difficulty.value) + location_table, goal_index = ini_locations( + self.goal_score, self.max_score, self.number_of_locations, self.options.game_difficulty.value + ) # simple menu-board construction menu = Region("Menu", self.player, self.multiworld) board = Region("Board", self.player, self.multiworld) # add locations to board, one for every location in the location_table - board.locations = [YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) - for loc_name, loc_data in location_table.items() if loc_data.region == board.name] + board.locations = [ + YachtDiceLocation(self.player, loc_name, loc_data.score, loc_data.id, board) + for loc_name, loc_data in location_table.items() + if loc_data.region == board.name + ] # which index of all locations should have the Victory item. @@ -370,25 +376,25 @@ def fill_slot_data(self): # make slot data, which consists of yachtdice_data, options, and some other variables. yacht_dice_data = self._get_yachtdice_data() yacht_dice_options = self.options.as_dict( - "game_difficulty", - "score_for_last_check", - "score_for_goal", - "minimal_number_of_dice_and_rolls", - "number_of_dice_fragments_per_dice", - "number_of_roll_fragments_per_roll", - "alternative_categories", - "weight_of_dice", - "weight_of_roll", - "weight_of_fixed_score_multiplier", - "weight_of_step_score_multiplier", - "weight_of_double_category", - "weight_of_points", - "points_size", - "minimize_extra_items", - "add_bonus_points", - "add_story_chapters", - "which_story", - "allow_manual_input" + "game_difficulty", + "score_for_last_check", + "score_for_goal", + "minimal_number_of_dice_and_rolls", + "number_of_dice_fragments_per_dice", + "number_of_roll_fragments_per_roll", + "alternative_categories", + "weight_of_dice", + "weight_of_roll", + "weight_of_fixed_score_multiplier", + "weight_of_step_score_multiplier", + "weight_of_double_category", + "weight_of_points", + "points_size", + "minimize_extra_items", + "add_bonus_points", + "add_story_chapters", + "which_story", + "allow_manual_input", ) slot_data = {**yacht_dice_data, **yacht_dice_options} # combine the two slot_data["goal_score"] = self.goal_score diff --git a/worlds/yachtdice/ruff.toml b/worlds/yachtdice/ruff.toml deleted file mode 100644 index 40a8800b52a6..000000000000 --- a/worlds/yachtdice/ruff.toml +++ /dev/null @@ -1,12 +0,0 @@ -line-length = 120 - -[lint] -preview = true -select = ["E", "F", "W", "I", "N", "Q", "UP", "RUF", "ISC", "T20"] -ignore = ["RUF012", "RUF100"] - -[per-file-ignores] -# The way options definitions work right now, world devs are forced to break line length requirements. -"options.py" = ["E501"] -# Yu Gi Oh specific: The structure of the Opponents.py file makes the line length violations acceptable. -"YachtWeights.py" = ["E501"] \ No newline at end of file From 2d66fd8dd8697c7e2e04a9889fff1b844868065f Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 01:14:39 +0200 Subject: [PATCH 057/127] styling and capitalization of options --- worlds/yachtdice/Options.py | 12 ++++++------ worlds/yachtdice/Rules.py | 6 +++--- worlds/yachtdice/__init__.py | 8 ++++---- 3 files changed, 13 insertions(+), 13 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 81fbdd420f06..df63e5cba2a7 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -212,9 +212,9 @@ class AddExtraPoints(Choice): If there is space, would you like bonus points shuffled in the item pool? They make the game a little bit easier, as they are not considered in the logic. - all_of_it: fill all locations with extra points - sure: put some bonus points in - never: do not put any bonus points + All Of It: fill all locations with extra points + Sure: put some bonus points in + Never: do not put any bonus points """ display_name = "Extra bonus in the pool" @@ -230,9 +230,9 @@ class AddStoryChapters(Choice): If there is space, would you like story chapters shuffled in the item pool? Note: if you have extra points on "all_of_it", there will not be story chapters. - all_of_it: fill all locations with story chapters - sure: if there is space left, put in 10 story chapters. - never: do not put any story chapters in, I do not like reading (but I am glad you are reading THIS!) + All Of It: fill all locations with story chapters + Sure: if there is space left, put in 10 story chapters. + Never: do not put any story chapters in, I do not like reading (but I am glad you are reading THIS!) """ display_name = "Extra story chapters in the pool" diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index e7e848cd9e03..4ed50e362cba 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -244,10 +244,10 @@ def dice_simulation(state, player, options): # Sets rules on entrances and advancements that are always applied def set_yacht_rules(world: MultiWorld, player: int, options): - for l in world.get_locations(player): + for location in world.get_locations(player): set_rule( - l, - lambda state, curscore=l.yacht_dice_score, player=player: dice_simulation(state, player, options) + location, + lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation(state, player, options) >= curscore, ) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 2a4a4b68022e..9369176cd9ad 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -14,7 +14,7 @@ class YachtDiceWeb(WebWorld): tutorials = [ Tutorial( "Multiworld Setup Guide", - "A guide to setting up Yacht Dice. This guide covers " "single-player, multiworld, and website.", + "A guide to setting up Yacht Dice. This guide covers single-player, multiworld, and website.", "English", "setup_en.md", "setup/en", @@ -143,10 +143,10 @@ def generate_early(self): # Yacht Dice needs extra filler items so it doesn't get stuck in generation. # For now, we calculate the number of extra items we'll need later. if self.options.minimize_extra_items.value: - extraPercentage = max(0.1, 0.8 - self.multiworld.players / 10) + extra_percentage = max(0.1, 0.8 - self.multiworld.players / 10) else: - extraPercentage = 0.7 - extra_locations_needed = max(10, math.ceil(already_items * extraPercentage)) + extra_percentage = 0.7 + extra_locations_needed = max(10, math.ceil(already_items * extra_percentage)) # max score is the value of the last check. Goal score is the score needed to 'finish' the game self.max_score = self.options.score_for_last_check.value From 0d35411afff236c8d6ea9d14add398e8d2ba8675 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 01:38:31 +0200 Subject: [PATCH 058/127] small comment --- worlds/yachtdice/Rules.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 4ed50e362cba..d3119ddb198b 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -214,7 +214,7 @@ def percentile_distribution(dist, percentile): # save result into the cache, then return it outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) - yachtdice_cache[tup] = max(5, math.floor(outcome)) + yachtdice_cache[tup] = max(5, math.floor(outcome)) # at least 5. return yachtdice_cache[tup] From 13340aaf917b9d0c2308599cf6999cb363802547 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 01:55:49 +0200 Subject: [PATCH 059/127] Cleaned up the "state_is_a_list" a little bit --- worlds/yachtdice/Rules.py | 67 +++++++++++++++++++-------------------- 1 file changed, 32 insertions(+), 35 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index d3119ddb198b..56c0b1bde39c 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -1,6 +1,7 @@ import math from collections import defaultdict +from typing import List from BaseClasses import MultiWorld from worlds.generic.Rules import set_rule @@ -67,44 +68,39 @@ def mean_score(self, num_dice, num_rolls): return mean_score * self.quantity + +class ListState: + def __init__(self, state: List[str]): + self.state = state + + def count(self, item: str, player: str = None) -> int: + return self.state.count(item) + + def extract_progression(state, player, options): # method to obtain a list of what items the player has. # this includes categories, dice, rolls and score multiplier etc. - - if player == "state_is_a_list": # the state variable is just a list with the names of the items - number_of_dice = ( - state.count("Dice") + state.count("Dice Fragment") // options.number_of_dice_fragments_per_dice.value - ) - number_of_rerolls = ( - state.count("Roll") + state.count("Roll Fragment") // options.number_of_roll_fragments_per_roll.value - ) - number_of_fixed_mults = state.count("Fixed Score Multiplier") - number_of_step_mults = state.count("Step Score Multiplier") - categories = [] - for category_name, category_value in category_mappings.items(): - if state.count(category_name) >= 1: - categories += [Category(category_value, state.count(category_name))] - extra_points_in_logic = state.count("1 Point") - extra_points_in_logic += state.count("10 Points") * 10 - extra_points_in_logic += state.count("100 Points") * 100 - else: # state is an Archipelago object, so we need state.count(..., player) - number_of_dice = ( - state.count("Dice", player) - + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value - ) - number_of_rerolls = ( - state.count("Roll", player) - + state.count("Roll Fragment", player) // options.number_of_roll_fragments_per_roll.value - ) - number_of_fixed_mults = state.count("Fixed Score Multiplier", player) - number_of_step_mults = state.count("Step Score Multiplier", player) - categories = [] - for category_name, category_value in category_mappings.items(): - if state.count(category_name, player) >= 1: - categories += [Category(category_value, state.count(category_name, player))] - extra_points_in_logic = state.count("1 Point", player) - extra_points_in_logic += state.count("10 Points", player) * 10 - extra_points_in_logic += state.count("100 Points", player) * 100 + # First, we convert the state if it's a list, so we can use state.count(item, player) + if isinstance(state, list): + state = ListState(state=state) + + number_of_dice = ( + state.count("Dice", player) + + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value + ) + number_of_rerolls = ( + state.count("Roll", player) + + state.count("Roll Fragment", player) // options.number_of_roll_fragments_per_roll.value + ) + number_of_fixed_mults = state.count("Fixed Score Multiplier", player) + number_of_step_mults = state.count("Step Score Multiplier", player) + categories = [] + for category_name, category_value in category_mappings.items(): + if state.count(category_name, player) >= 1: + categories += [Category(category_value, state.count(category_name, player))] + extra_points_in_logic = state.count("1 Point", player) + extra_points_in_logic += state.count("10 Points", player) * 10 + extra_points_in_logic += state.count("100 Points", player) * 100 return [ categories, @@ -220,6 +216,7 @@ def percentile_distribution(dist, percentile): # Returns the feasible score that one can reach with the current state, options and difficulty. def dice_simulation(state, player, options): + # if the player is called "state_is_a_list", we are filling the itempool and want to calculate anyways. if player == "state_is_a_list": categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) return ( From 4e56a079117c691c0d8f9d1152b2578297919ad3 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 01:59:18 +0200 Subject: [PATCH 060/127] RUFF :dog: --- worlds/yachtdice/Rules.py | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 56c0b1bde39c..a39602b95eb8 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -1,7 +1,7 @@ import math from collections import defaultdict +from typing import List, Optional -from typing import List from BaseClasses import MultiWorld from worlds.generic.Rules import set_rule @@ -68,15 +68,14 @@ def mean_score(self, num_dice, num_rolls): return mean_score * self.quantity - class ListState: def __init__(self, state: List[str]): self.state = state - def count(self, item: str, player: str = None) -> int: + def count(self, item: str, player: Optional[str] = None) -> int: return self.state.count(item) - + def extract_progression(state, player, options): # method to obtain a list of what items the player has. # this includes categories, dice, rolls and score multiplier etc. From 5188d7853467a9023e49ab691bef7d38b1c6903a Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 16:10:38 +0200 Subject: [PATCH 061/127] Changed filling the itempool for efficiency Now, we start with 17 extra items in the item pool, it's quite likely you need at least 17 items (~80%?). And then afterwards, we delete items if we overshoot the target of 1000, and add items if we haven't reached an achievable score of 1000 yet. Also, no need to recompute the entire logic when adding points. --- worlds/yachtdice/__init__.py | 75 +++++++++++++++++++++++++++--------- 1 file changed, 56 insertions(+), 19 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 9369176cd9ad..1cddd99fe1a1 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -173,12 +173,19 @@ def generate_early(self): # calibrate the weights, since the impact of each of the items is different weights[0] = weights[0] / 5 * frags_per_dice weights[1] = weights[1] / 5 * frags_per_roll - + extra_points_added = 0 multipliers_added = 0 - - # Keep adding items until a score of 1000 is in logic - while dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) < 1000: + items_added = 0 + + def get_item_to_add(): + nonlocal weights + nonlocal extra_points_added + nonlocal multipliers_added + nonlocal items_added + + items_added += 1 + all_items = self.itempool + self.precollected dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: @@ -206,30 +213,31 @@ def generate_early(self): # Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item which_item_to_add = self.multiworld.random.choices([0, 1, 2, 3, 4, 5], weights=weights)[0] + item_to_add = "" if which_item_to_add == 0: + weights[0] /= 1 + frags_per_dice if frags_per_dice == 1: - self.itempool += ["Dice"] + return "Dice" else: - self.itempool += ["Dice Fragment"] - weights[0] /= 1 + frags_per_dice + return "Dice Fragment" elif which_item_to_add == 1: + weights[1] /= 1 + frags_per_roll if frags_per_roll == 1: - self.itempool += ["Roll"] + return "Roll" else: - self.itempool += ["Roll Fragment"] - weights[1] /= 1 + frags_per_roll + return "Roll Fragment" elif which_item_to_add == 2: - self.itempool += ["Fixed Score Multiplier"] weights[2] /= 1.05 multipliers_added += 1 + return "Fixed Score Multiplier" elif which_item_to_add == 3: - self.itempool += ["Step Score Multiplier"] weights[3] /= 1.1 multipliers_added += 1 + return "Step Score Multiplier" elif which_item_to_add == 4: cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] - self.itempool += self.multiworld.random.choices(possible_categories, weights=cat_weights) weights[4] /= 1.1 + return self.multiworld.random.choices(possible_categories, weights=cat_weights)[0] elif which_item_to_add == 5: score_dist = self.options.points_size.value probs = [1, 0, 0] @@ -243,21 +251,50 @@ def generate_early(self): probs = [0.3, 0.4, 0.3] c = self.multiworld.random.choices([0, 1, 2], weights=probs)[0] if c == 0: - self.itempool += ["1 Point"] - extra_points_added += 1 weights[5] /= 1.01 + extra_points_added += 1 + return "1 Point" elif c == 1: - self.itempool += ["10 Points"] - extra_points_added += 10 weights[5] /= 1.1 + extra_points_added += 10 + return "10 Points" elif c == 2: - self.itempool += ["100 Points"] - extra_points_added += 100 weights[5] /= 2 + extra_points_added += 100 + return "100 Points" else: raise Exception("Unknown point value (Yacht Dice)") else: raise Exception("Invalid index when adding new items in Yacht Dice") + + # adding 17 items as a start seems like the smartest way to get close to 1000 points + for _ in range(17): + self.itempool += [get_item_to_add()] + + score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) + + # if we overshoot, remove items until you get below 1000, then return the last removed item + if score_in_logic > 1000: + removed_item = "" + while score_in_logic > 1000: + removed_item = self.itempool[-1] + self.itempool.pop() + score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) + self.itempool.append(removed_item) + else: + # Keep adding items until a score of 1000 is in logic + while score_in_logic < 1000: + item_to_add = get_item_to_add() + self.itempool += [item_to_add] + if item_to_add == "1 Point": + score_in_logic += 1 + elif item_to_add == "10 Points": + score_in_logic += 10 + elif item_to_add == "100 Points": + score_in_logic += 100 + else: + score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) + # count the number of locations in the game. already_items = len(self.itempool) + self.extra_plando_items + 1 # +1 because of Victory item From 7f298e69b8ac7028f06537ddfdf64fa936d373cf Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 8 Jun 2024 16:11:58 +0200 Subject: [PATCH 062/127] :dog: --- worlds/yachtdice/__init__.py | 13 ++++++------- 1 file changed, 6 insertions(+), 7 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 1cddd99fe1a1..fdcde167f608 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -173,19 +173,19 @@ def generate_early(self): # calibrate the weights, since the impact of each of the items is different weights[0] = weights[0] / 5 * frags_per_dice weights[1] = weights[1] / 5 * frags_per_roll - + extra_points_added = 0 multipliers_added = 0 items_added = 0 - + def get_item_to_add(): nonlocal weights nonlocal extra_points_added nonlocal multipliers_added nonlocal items_added - + items_added += 1 - + all_items = self.itempool + self.precollected dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: @@ -266,13 +266,13 @@ def get_item_to_add(): raise Exception("Unknown point value (Yacht Dice)") else: raise Exception("Invalid index when adding new items in Yacht Dice") - + # adding 17 items as a start seems like the smartest way to get close to 1000 points for _ in range(17): self.itempool += [get_item_to_add()] score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) - + # if we overshoot, remove items until you get below 1000, then return the last removed item if score_in_logic > 1000: removed_item = "" @@ -294,7 +294,6 @@ def get_item_to_add(): score_in_logic += 100 else: score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) - # count the number of locations in the game. already_items = len(self.itempool) + self.extra_plando_items + 1 # +1 because of Victory item From d31d6b2d13f305d8cd83629b6ce2e8f8c9274bd0 Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:23:11 +0200 Subject: [PATCH 063/127] Removed plando "fix" --- worlds/yachtdice/__init__.py | 29 +++++++++++------------------ 1 file changed, 11 insertions(+), 18 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index fdcde167f608..8dd0c7f3ba4d 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -72,13 +72,6 @@ def generate_early(self): frags_per_dice = self.options.number_of_dice_fragments_per_dice.value frags_per_roll = self.options.number_of_roll_fragments_per_roll.value - # count number of plando items not from pool, we need extra locations for them - self.extra_plando_items = 0 - - for plando_setting in self.multiworld.plando_items[self.player]: - if plando_setting.get("from_pool", False) is False: - self.extra_plando_items += sum(value for value in plando_setting["items"].values()) - # Create a list with the specified number of 1s num_ones = self.options.alternative_categories.value categorylist = [1] * num_ones + [0] * (16 - num_ones) @@ -138,7 +131,7 @@ def generate_early(self): self.itempool += ["Roll"] # always add a full roll to make generation easier (will be early) self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls - 2)) - already_items = len(self.itempool) + self.extra_plando_items + already_items = len(self.itempool) # Yacht Dice needs extra filler items so it doesn't get stuck in generation. # For now, we calculate the number of extra items we'll need later. @@ -296,7 +289,7 @@ def get_item_to_add(): score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) # count the number of locations in the game. - already_items = len(self.itempool) + self.extra_plando_items + 1 # +1 because of Victory item + already_items = len(self.itempool) + 1 # +1 because of Victory item # We need to add more filler/useful items if there are many items in the pool to guarantee successful generation extra_locations_needed += (already_items - 45) // 15 @@ -307,38 +300,38 @@ def get_item_to_add(): # first, we flood the entire pool with extra points (useful), if that setting is chosen. if self.options.add_bonus_points.value == 1: # all of the extra points - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 100) # second, we flood the entire pool with story chapters (filler), if that setting is chosen. if self.options.add_story_chapters.value == 1: # all of the story chapters - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 number_of_items = min(self.number_of_locations - already_items, 100) number_of_items = (number_of_items // 10) * 10 # story chapters always come in multiples of 10 self.itempool += ["Story Chapter"] * number_of_items # add some extra points (useful) if self.options.add_bonus_points.value == 2: # add extra points if wanted - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) # add some story chapters (filler) if self.options.add_story_chapters.value == 2: # add extra points if wanted - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 if self.number_of_locations - already_items >= 10: self.itempool += ["Story Chapter"] * 10 # add some more extra points if there is still room if self.options.add_bonus_points.value == 2: - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) # add some encouragements filler-items if there is still room - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 self.itempool += ["Encouragement"] * min(self.number_of_locations - already_items, 5) # add some fun facts filler-items if there is still room - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 self.itempool += ["Fun Fact"] * min(self.number_of_locations - already_items, 5) # finally, add some "Good RNG" and "Bad RNG" items to complete the item pool @@ -346,13 +339,13 @@ def get_item_to_add(): # probability of Good and Bad rng, based on difficulty for fun :) p = 1.1 - 0.25 * self.options.game_difficulty.value - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 self.itempool += self.multiworld.random.choices( ["Good RNG", "Bad RNG"], weights=[p, 1 - p], k=self.number_of_locations - already_items ) # we are done adding items. Now because of the last step, number of items should be number of locations - already_items = len(self.itempool) + self.extra_plando_items + 1 + already_items = len(self.itempool) + 1 if already_items != self.number_of_locations: raise Exception( f"[Yacht Dice] Number in self.itempool is not number of locations " From 5bb288305439b51e6a2b198cebe28297e9cda55c Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:25:53 +0200 Subject: [PATCH 064/127] Changed indent of score multiplier --- worlds/yachtdice/Items.py | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 653c73e38dd9..05f19c7efa13 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -71,7 +71,10 @@ class YachtDiceItem(Item): # item groups for better hinting item_groups = { - "Score Multiplier": {"Step Score Multiplier", "Fixed Score Multiplier"}, + "Score Multiplier": { + "Step Score Multiplier", + "Fixed Score Multiplier" + }, "Categories": { "Category Ones", "Category Twos", From 06f105ea578cdbd3d5e80d391e2a75bc0d5cb7e9 Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:28:09 +0200 Subject: [PATCH 065/127] faster location function --- worlds/yachtdice/Locations.py | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 2230b34082f9..ce24f0d39de6 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -23,10 +23,7 @@ def __init__(self, player: int, name: str, score: int, address: typing.Optional[ # Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 def all_locations_fun(max_score): - location_table = {} - for i in range(max_score + 1): - location_table[f"{i} score"] = LocData(starting_index + i, "Board", i) - return location_table + return {f"{i} score": LocData(starting_index + i, "Board", i) for i in range(max_score + 1)} # function that loads in all locations necessary for the game, so based on options. From a1acff3a8bd087ead784c9bee2cf708fad7e53aa Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:33:31 +0200 Subject: [PATCH 066/127] Comments to docstrings --- worlds/yachtdice/Locations.py | 12 +++++++--- worlds/yachtdice/Rules.py | 44 +++++++++++++++++++++++------------ worlds/yachtdice/__init__.py | 12 +++++++--- 3 files changed, 47 insertions(+), 21 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index ce24f0d39de6..5265a4323fc0 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -21,14 +21,20 @@ def __init__(self, player: int, name: str, score: int, address: typing.Optional[ starting_index = 16871244500 # 500 more than the starting index for items -# Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 + def all_locations_fun(max_score): + """ + Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 + """ return {f"{i} score": LocData(starting_index + i, "Board", i) for i in range(max_score + 1)} -# function that loads in all locations necessary for the game, so based on options. -# will make sure that goal_score and max_score are included locations + def ini_locations(goal_score, max_score, num_locs, dif): + """ + function that loads in all locations necessary for the game, so based on options. + will make sure that goal_score and max_score are included locations + """ scaling = 2 # parameter that determines how many low-score location there are. # need more low-score locations or lower difficulties: if dif == 1: diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index a39602b95eb8..d6355ccf0c3b 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -8,6 +8,15 @@ from .YachtWeights import yacht_weights + +# This module adds logic to the apworld. +# In short, we ran a simulation for every possible combination of dice and rolls you can have, per category. +# This simulation has a good strategy for locking dice. +# This gives rise to an approximate discrete distribution per category. +# We calculate the distribution of the total score. +# We then pick a correct percentile to reflect the correct score that should be in logic. +# The score is logic is *much* lower than the actual maximum reachable score. + # List of categories, and the name of the logic class associated with it category_mappings = { "Category Ones": "Ones", @@ -44,14 +53,6 @@ "Category 4&5 Full House": "FourAndFiveFullHouse", } -# This class adds logic to the apworld. -# In short, we ran a simulation for every possible combination of dice and rolls you can have, per category. -# This simulation has a good strategy for locking dice. -# This gives rise to an approximate discrete distribution per category. -# We calculate the distribution of the total score. -# We then pick a correct percentile to reflect the correct score that should be in logic. -# The score is logic is *much* lower than the actual maximum reachable score. - class Category: def __init__(self, name, quantity=1): @@ -77,9 +78,11 @@ def count(self, item: str, player: Optional[str] = None) -> int: def extract_progression(state, player, options): - # method to obtain a list of what items the player has. - # this includes categories, dice, rolls and score multiplier etc. - # First, we convert the state if it's a list, so we can use state.count(item, player) + """ + method to obtain a list of what items the player has. + this includes categories, dice, rolls and score multiplier etc. + First, we convert the state if it's a list, so we can use state.count(item, player) + """ if isinstance(state, list): state = ListState(state=state) @@ -117,8 +120,10 @@ def extract_progression(state, player, options): yachtdice_cache = {} -# Function that returns the feasible score in logic based on items obtained. def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff): + """ + Function that returns the feasible score in logic based on items obtained. + """ tup = tuple( [ tuple(sorted([c.name + str(c.quantity) for c in categories])), @@ -213,8 +218,11 @@ def percentile_distribution(dist, percentile): return yachtdice_cache[tup] -# Returns the feasible score that one can reach with the current state, options and difficulty. + def dice_simulation(state, player, options): + """ + Returns the feasible score that one can reach with the current state, options and difficulty. + """ # if the player is called "state_is_a_list", we are filling the itempool and want to calculate anyways. if player == "state_is_a_list": categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) @@ -238,8 +246,12 @@ def dice_simulation(state, player, options): return state.prog_items[player]["maximum_achievable_score"] -# Sets rules on entrances and advancements that are always applied + def set_yacht_rules(world: MultiWorld, player: int, options): + """ + Sets rules on entrances and advancements that are always applied + """ + for location in world.get_locations(player): set_rule( location, @@ -248,6 +260,8 @@ def set_yacht_rules(world: MultiWorld, player: int, options): ) -# Sets rules on completion condition def set_yacht_completion_rules(world: MultiWorld, player: int): + """ + Sets rules on completion condition + """ world.completion_condition[player] = lambda state: state.has("Victory", player) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 8dd0c7f3ba4d..fef7b31e8129 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -57,8 +57,10 @@ def _get_yachtdice_data(self): "race": self.multiworld.is_race, } - # In generate early, we fill the item-pool, then determine the number of locations, and add filler items. def generate_early(self): + """ + In generate early, we fill the item-pool, then determine the number of locations, and add filler items. + """ self.itempool = [] self.precollected = [] @@ -397,12 +399,16 @@ def create_regions(self): self.multiworld.regions += [menu, board] def set_rules(self): - # set rules per location, and add the rule for beating the game + """ + set rules per location, and add the rule for beating the game + """ set_yacht_rules(self.multiworld, self.player, self.options) set_yacht_completion_rules(self.multiworld, self.player) def fill_slot_data(self): - # make slot data, which consists of yachtdice_data, options, and some other variables. + """ + make slot data, which consists of yachtdice_data, options, and some other variables. + """ yacht_dice_data = self._get_yachtdice_data() yacht_dice_options = self.options.as_dict( "game_difficulty", From a8239625df08cf5cb58ca74a7a493edb5d6f8938 Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:37:26 +0200 Subject: [PATCH 067/127] fixed making location closest to goal_score be goal_score --- worlds/yachtdice/Locations.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 5265a4323fc0..aed264141908 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -60,7 +60,7 @@ def ini_locations(goal_score, max_score, num_locs, dif): if goal_score != max_score: # if the goal score is not in the list, find the closest one and make it the goal. if goal_score not in scores: - closest_num = min(scores, key=lambda x: abs(x - 500)) + closest_num = min(scores, key=lambda x: abs(x - goal_score)) scores[scores.index(closest_num)] = goal_score scores += [max_score] From da26408760e50c28c92b9ea59b9ad4fd7a6b6c43 Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:39:12 +0200 Subject: [PATCH 068/127] options format --- worlds/yachtdice/Options.py | 10 +++++++++- 1 file changed, 9 insertions(+), 1 deletion(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index df63e5cba2a7..2d914a8ca62a 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -317,5 +317,13 @@ class YachtDiceOptions(PerGameCommonOptions): PointsSize, ], ), - OptionGroup("Other items", [MinimizeExtraItems, AddExtraPoints, AddStoryChapters, WhichStory]), + OptionGroup( + "Other items", + [ + MinimizeExtraItems, + AddExtraPoints, + AddStoryChapters, + WhichStory + ] + ), ] From aa0886cd61494a4b60a3f53a46c90c439800cc04 Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:40:11 +0200 Subject: [PATCH 069/127] iterate keys and values of a dict together --- worlds/yachtdice/Rules.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index d6355ccf0c3b..8d288ce2860f 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -64,8 +64,8 @@ def mean_score(self, num_dice, num_rolls): if num_dice == 0 or num_rolls == 0: return 0 mean_score = 0 - for key in yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)]: - mean_score += key * yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)][key] / 100000 + for key, value in yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)].items(): + mean_score += key * value / 100000 return mean_score * self.quantity From 4839bf49a64d76d1307f3adfc88cdb1581d7b36f Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:52:18 +0200 Subject: [PATCH 070/127] small optimization ListState --- worlds/yachtdice/Rules.py | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 8d288ce2860f..3fd63b25475d 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -1,5 +1,5 @@ import math -from collections import defaultdict +from collections import Counter, defaultdict from typing import List, Optional from BaseClasses import MultiWorld @@ -69,12 +69,15 @@ def mean_score(self, num_dice, num_rolls): return mean_score * self.quantity + + class ListState: def __init__(self, state: List[str]): self.state = state + self.item_counts = Counter(state) def count(self, item: str, player: Optional[str] = None) -> int: - return self.state.count(item) + return self.item_counts[item] def extract_progression(state, player, options): From 93812bb62906b31aafe3414c082e5bcadf0067a8 Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:55:12 +0200 Subject: [PATCH 071/127] faster collection of categories --- worlds/yachtdice/Rules.py | 11 +++++++---- 1 file changed, 7 insertions(+), 4 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 3fd63b25475d..fecd2c04e35c 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -99,10 +99,13 @@ def extract_progression(state, player, options): ) number_of_fixed_mults = state.count("Fixed Score Multiplier", player) number_of_step_mults = state.count("Step Score Multiplier", player) - categories = [] - for category_name, category_value in category_mappings.items(): - if state.count(category_name, player) >= 1: - categories += [Category(category_value, state.count(category_name, player))] + + categories = [ + Category(category_value, state.count(category_name, player)) + for category_name, category_value in category_mappings.items() + if state.count(category_name, player) # want all categories that have count >= 1 + ] + extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 From 03ba657f4fab8708672105bc9a09217a5e295bee Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:56:46 +0200 Subject: [PATCH 072/127] return arguments instead of making a list (will :dog: later) --- worlds/yachtdice/Rules.py | 10 ++-------- 1 file changed, 2 insertions(+), 8 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index fecd2c04e35c..497d9f5f861f 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -110,14 +110,8 @@ def extract_progression(state, player, options): extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - return [ - categories, - number_of_dice, - number_of_rerolls, - number_of_fixed_mults * 0.1, - number_of_step_mults * 0.01, - extra_points_in_logic, - ] + return categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic, + # We will store the results of this function as it is called often for the same parameters. From e2f056734b3e7e69fa1882e7510edf09582359b4 Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:57:58 +0200 Subject: [PATCH 073/127] Instead of turning it into a tuple, you can just make a tuple literal --- worlds/yachtdice/Rules.py | 16 +++++++--------- 1 file changed, 7 insertions(+), 9 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 497d9f5f861f..b1630849f87e 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -124,15 +124,13 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu """ Function that returns the feasible score in logic based on items obtained. """ - tup = tuple( - [ - tuple(sorted([c.name + str(c.quantity) for c in categories])), - num_dice, - num_rolls, - fixed_mult, - step_mult, - diff, - ] + tup = ( + tuple(sorted([c.name + str(c.quantity) for c in categories])), + num_dice, + num_rolls, + fixed_mult, + step_mult, + diff, ) # identifier # if already computed, return the result From 17d9f66ba33a0bfafb51d3e44c99f4cdbcdac0ae Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 18:58:50 +0200 Subject: [PATCH 074/127] remove .keys() --- worlds/yachtdice/Rules.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index b1630849f87e..0afdfaa5b298 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -134,7 +134,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu ) # identifier # if already computed, return the result - if tup in yachtdice_cache.keys(): + if tup in yachtdice_cache: return yachtdice_cache[tup] # sort categories because for the step multiplier, you will want low-scoring categories first From 570af1ab4cd02308141b21d24654deed18ef39aa Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 10 Jun 2024 19:36:55 +0200 Subject: [PATCH 075/127] change .random and used enumerate --- worlds/yachtdice/Rules.py | 6 +++--- worlds/yachtdice/__init__.py | 10 +++++----- 2 files changed, 8 insertions(+), 8 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 0afdfaa5b298..055b638f48cd 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -192,16 +192,16 @@ def percentile_distribution(dist, percentile): # calculate total distribution total_dist = {0: 1} - for j in range(len(categories)): + for j, category in enumerate(categories): if num_dice == 0 or num_rolls == 0: dist = {0: 100000} else: - dist = yacht_weights[categories[j].name, min(8, num_dice), min(8, num_rolls)].copy() + dist = yacht_weights[category.name, min(8, num_dice), min(8, num_rolls)].copy() for key in dist.keys(): dist[key] /= 100000 - cat_mult = 2 ** (categories[j].quantity - 1) + cat_mult = 2 ** (category.quantity - 1) # for higher difficulties, the simulation gets multiple tries for categories. max_tries = j // diff_divide diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index fef7b31e8129..47a1cc2ad281 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -79,7 +79,7 @@ def generate_early(self): categorylist = [1] * num_ones + [0] * (16 - num_ones) # Shuffle the list to randomize the order - self.multiworld.random.shuffle(categorylist) + self.random.shuffle(categorylist) # A list of all possible categories. # Every entry in the list has two categories, one 'default' category and one 'alt'. @@ -207,7 +207,7 @@ def get_item_to_add(): weights[5] = 1 # Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item - which_item_to_add = self.multiworld.random.choices([0, 1, 2, 3, 4, 5], weights=weights)[0] + which_item_to_add = self.random.choices([0, 1, 2, 3, 4, 5], weights=weights)[0] item_to_add = "" if which_item_to_add == 0: weights[0] /= 1 + frags_per_dice @@ -232,7 +232,7 @@ def get_item_to_add(): elif which_item_to_add == 4: cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] weights[4] /= 1.1 - return self.multiworld.random.choices(possible_categories, weights=cat_weights)[0] + return self.random.choices(possible_categories, weights=cat_weights)[0] elif which_item_to_add == 5: score_dist = self.options.points_size.value probs = [1, 0, 0] @@ -244,7 +244,7 @@ def get_item_to_add(): probs = [0, 0.3, 0.7] if score_dist == 4: probs = [0.3, 0.4, 0.3] - c = self.multiworld.random.choices([0, 1, 2], weights=probs)[0] + c = self.random.choices([0, 1, 2], weights=probs)[0] if c == 0: weights[5] /= 1.01 extra_points_added += 1 @@ -342,7 +342,7 @@ def get_item_to_add(): # probability of Good and Bad rng, based on difficulty for fun :) p = 1.1 - 0.25 * self.options.game_difficulty.value already_items = len(self.itempool) + 1 - self.itempool += self.multiworld.random.choices( + self.itempool += self.random.choices( ["Good RNG", "Bad RNG"], weights=[p, 1 - p], k=self.number_of_locations - already_items ) From 40ef9aab195ad4548d7598da97f06321cc76c41f Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 11 Jun 2024 19:10:49 +0200 Subject: [PATCH 076/127] some readability improvements --- worlds/yachtdice/Locations.py | 26 +++++++++++++------------- worlds/yachtdice/__init__.py | 3 +-- 2 files changed, 14 insertions(+), 15 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index aed264141908..d74cc95894f0 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -30,7 +30,7 @@ def all_locations_fun(max_score): -def ini_locations(goal_score, max_score, num_locs, dif): +def ini_locations(goal_score, max_score, number_of_locations, dif): """ function that loads in all locations necessary for the game, so based on options. will make sure that goal_score and max_score are included locations @@ -43,19 +43,19 @@ def ini_locations(goal_score, max_score, num_locs, dif): scaling = 2.3 scores = [] - # the scores follow the function int( 1 + (perc ** scaling) * (max_score-1) ) + # the scores follow the function int( 1 + (percentage ** scaling) * (max_score-1) ) # however, this will have many low values, sometimes repeating. - # to avoid repeating scores, hiscore keeps tracks of the highest score location - # and the next score will always be at least hiscore + 1 - # note that curscore is at most max_score-1 - hiscore = 0 - for i in range(num_locs - 1): - perc = i / num_locs - curscore = int(1 + (perc**scaling) * (max_score - 2)) - if curscore <= hiscore: - curscore = hiscore + 1 - hiscore = curscore - scores += [curscore] + # to avoid repeating scores, highest_score keeps tracks of the highest score location + # and the next score will always be at least highest_score + 1 + # note that current_score is at most max_score-1 + highest_score = 0 + for i in range(number_of_locations - 1): + percentage = i / number_of_locations + current_score = int(1 + (percentage ** scaling) * (max_score - 2)) + if current_score <= highest_score: + current_score = highest_score + 1 + highest_score = current_score + scores += [current_score] if goal_score != max_score: # if the goal score is not in the list, find the closest one and make it the goal. diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 47a1cc2ad281..5a71b938a9e5 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -272,8 +272,7 @@ def get_item_to_add(): if score_in_logic > 1000: removed_item = "" while score_in_logic > 1000: - removed_item = self.itempool[-1] - self.itempool.pop() + removed_item = self.itempool.pop() score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) self.itempool.append(removed_item) else: From 0aa2b31ca4216dd6d24d0da9ca1e4b8228d2f32c Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 11 Jun 2024 19:11:17 +0200 Subject: [PATCH 077/127] Remove location "0", we don't use that one --- worlds/yachtdice/Locations.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index d74cc95894f0..67994f01ac48 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -26,7 +26,7 @@ def all_locations_fun(max_score): """ Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 """ - return {f"{i} score": LocData(starting_index + i, "Board", i) for i in range(max_score + 1)} + return {f"{i} score": LocData(starting_index + i, "Board", i) for i in range(1, max_score + 1)} From 36265257a11788cc9e8226ece38f10eb352509a5 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 11 Jun 2024 19:14:05 +0200 Subject: [PATCH 078/127] Remove lookup_id_to_name entirely I for sure don't use it, and as far as I know it's not one of the mandatory functions for AP, these are item_name_to_id and location_name_to_id. --- worlds/yachtdice/Locations.py | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 67994f01ac48..659d66430b09 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -69,8 +69,5 @@ def ini_locations(goal_score, max_score, number_of_locations, dif): return location_table, scores.index(goal_score) - -lookup_id_to_name: typing.Dict[int, str] = {data.id: item_name for item_name, data in all_locations.items() if data.id} - # we need to run this function to initialize all scores from 1 to 1000, even though not all are used -all_locations = all_locations_fun(1000) +all_locations = all_locations_fun(1000) \ No newline at end of file From 7a9b3e2d8b412446fcb408b1ef694c75b65b83f2 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 11 Jun 2024 19:33:36 +0200 Subject: [PATCH 079/127] .append instead of += for single items, percentile function changed Also an extra comment for location ids. --- worlds/yachtdice/Locations.py | 2 +- worlds/yachtdice/Rules.py | 8 +++----- worlds/yachtdice/__init__.py | 30 +++++++++++------------------- 3 files changed, 15 insertions(+), 25 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 659d66430b09..147e0d50a206 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -18,7 +18,7 @@ def __init__(self, player: int, name: str, score: int, address: typing.Optional[ all_locations = {} -starting_index = 16871244500 # 500 more than the starting index for items +starting_index = 16871244500 # 500 more than the starting index for items (not necessary, but this is what it is now) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 055b638f48cd..00393a5e12e9 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -173,16 +173,14 @@ def max_dist(dist1, mults): def percentile_distribution(dist, percentile): sorted_values = sorted(dist.keys()) cumulative_prob = 0 - prev_val = None for val in sorted_values: - prev_val = val cumulative_prob += dist[val] if cumulative_prob >= percentile: - return prev_val # Return the value before reaching the desired percentile + return val - # Return the first value if percentile is lower than all probabilities - return prev_val if prev_val is not None else sorted_values[0] + # Return the last value if percentile is higher than all probabilities + return sorted_values[-1] # parameters for logic. # perc_return is, per difficulty, the percentages of total score it returns (it averages out the values) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 5a71b938a9e5..13d4f9da3f0e 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -107,30 +107,30 @@ def generate_early(self): possible_categories = [] for index, cats in enumerate(all_categories): - possible_categories += [cats[categorylist[index]]] + possible_categories.append(cats[categorylist[index]]) # Add Choice and Inverse choice (or their alts) to the precollected list. if index == 0 or index == 1: - self.precollected += [cats[categorylist[index]]] + self.precollected.append(cats[categorylist[index]]) else: - self.itempool += [cats[categorylist[index]]] + self.itempool.append(cats[categorylist[index]]) # Also start with one Roll and one Dice - self.precollected += ["Roll"] - self.precollected += ["Dice"] + self.precollected.append("Roll") + self.precollected.append("Dice") # if one fragment per dice, just add "Dice" objects if frags_per_dice == 1: self.itempool += ["Dice"] * (num_of_dice - 1) # minus one because one is in start inventory else: - self.itempool += ["Dice"] # always add a full dice to make generation easier (will be early) + self.itempool.append("Dice") # always add a full dice to make generation easier (will be early) self.itempool += ["Dice Fragment"] * (frags_per_dice * (num_of_dice - 2)) # if one fragment per roll, just add "Roll" objects if frags_per_roll == 1: self.itempool += ["Roll"] * (num_of_rolls - 1) # minus one because one is in start inventory else: - self.itempool += ["Roll"] # always add a full roll to make generation easier (will be early) + self.itempool.append()"Roll") # always add a full roll to make generation easier (will be early) self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls - 2)) already_items = len(self.itempool) @@ -211,16 +211,10 @@ def get_item_to_add(): item_to_add = "" if which_item_to_add == 0: weights[0] /= 1 + frags_per_dice - if frags_per_dice == 1: - return "Dice" - else: - return "Dice Fragment" + return "Dice" if frags_per_dice == 1 else "Dice Fragment" elif which_item_to_add == 1: weights[1] /= 1 + frags_per_roll - if frags_per_roll == 1: - return "Roll" - else: - return "Roll Fragment" + return "Roll" if frags_per_roll == 1 else "Roll Fragment" elif which_item_to_add == 2: weights[2] /= 1.05 multipliers_added += 1 @@ -264,7 +258,7 @@ def get_item_to_add(): # adding 17 items as a start seems like the smartest way to get close to 1000 points for _ in range(17): - self.itempool += [get_item_to_add()] + self.itempool.append(get_item_to_add()) score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) @@ -279,7 +273,7 @@ def get_item_to_add(): # Keep adding items until a score of 1000 is in logic while score_in_logic < 1000: item_to_add = get_item_to_add() - self.itempool += [item_to_add] + self.itempool.append(item_to_add) if item_to_add == "1 Point": score_in_logic += 1 elif item_to_add == "10 Points": @@ -381,8 +375,6 @@ def create_regions(self): if loc_data.region == board.name ] - # which index of all locations should have the Victory item. - # Add the victory item to the correct location. # The website declares that the game is complete when the victory item is obtained. board.locations[goal_index].place_locked_item(self.create_item("Victory")) From b1ed50eab3bfc7cac33b306d49cb14ae8d877794 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 11 Jun 2024 20:22:41 +0200 Subject: [PATCH 080/127] remove ) too many --- worlds/yachtdice/__init__.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 13d4f9da3f0e..5a40713da2cb 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -130,7 +130,7 @@ def generate_early(self): if frags_per_roll == 1: self.itempool += ["Roll"] * (num_of_rolls - 1) # minus one because one is in start inventory else: - self.itempool.append()"Roll") # always add a full roll to make generation easier (will be early) + self.itempool.append("Roll") # always add a full roll to make generation easier (will be early) self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls - 2)) already_items = len(self.itempool) From 42e9af239dd2bed882a84587dd1796246193e173 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 11 Jun 2024 20:41:15 +0200 Subject: [PATCH 081/127] Removed sorted from category list --- worlds/yachtdice/Rules.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 00393a5e12e9..1eb748725429 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -125,7 +125,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu Function that returns the feasible score in logic based on items obtained. """ tup = ( - tuple(sorted([c.name + str(c.quantity) for c in categories])), + tuple([c.name + str(c.quantity) for c in categories]), num_dice, num_rolls, fixed_mult, From 34f2c1aed8c8813b2d9c58896650b82a810d3578 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 11 Jun 2024 21:10:49 +0200 Subject: [PATCH 082/127] Hash categories (which makes it slower :( ) Maybe I messed up or misunderstood... I'll revert this right away since it is 2x slower, probably because of sorted instead of sort? --- worlds/yachtdice/Rules.py | 14 +++++++++----- 1 file changed, 9 insertions(+), 5 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 1eb748725429..76317fcbe678 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -58,6 +58,10 @@ class Category: def __init__(self, name, quantity=1): self.name = name self.quantity = quantity # how many times you have the category + + def __hash__(self): + return hash((self.name, self.quantity)) + # return mean score of a category def mean_score(self, num_dice, num_rolls): @@ -100,17 +104,17 @@ def extract_progression(state, player, options): number_of_fixed_mults = state.count("Fixed Score Multiplier", player) number_of_step_mults = state.count("Step Score Multiplier", player) - categories = [ + categories = tuple( Category(category_value, state.count(category_name, player)) for category_name, category_value in category_mappings.items() if state.count(category_name, player) # want all categories that have count >= 1 - ] + ) extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - return categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic, + return (categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic) @@ -125,7 +129,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu Function that returns the feasible score in logic based on items obtained. """ tup = ( - tuple([c.name + str(c.quantity) for c in categories]), + categories, num_dice, num_rolls, fixed_mult, @@ -138,7 +142,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu return yachtdice_cache[tup] # sort categories because for the step multiplier, you will want low-scoring categories first - categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) + categories = sorted(categories, key=lambda category: category.mean_score(num_dice, num_rolls)) # function to add two discrete distribution. # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) From 12ecd9f26b104927e285cdaf5815c098f7e4bca1 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 11 Jun 2024 21:10:59 +0200 Subject: [PATCH 083/127] Revert "Hash categories (which makes it slower :( )" This reverts commit 34f2c1aed8c8813b2d9c58896650b82a810d3578. --- worlds/yachtdice/Rules.py | 14 +++++--------- 1 file changed, 5 insertions(+), 9 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 76317fcbe678..1eb748725429 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -58,10 +58,6 @@ class Category: def __init__(self, name, quantity=1): self.name = name self.quantity = quantity # how many times you have the category - - def __hash__(self): - return hash((self.name, self.quantity)) - # return mean score of a category def mean_score(self, num_dice, num_rolls): @@ -104,17 +100,17 @@ def extract_progression(state, player, options): number_of_fixed_mults = state.count("Fixed Score Multiplier", player) number_of_step_mults = state.count("Step Score Multiplier", player) - categories = tuple( + categories = [ Category(category_value, state.count(category_name, player)) for category_name, category_value in category_mappings.items() if state.count(category_name, player) # want all categories that have count >= 1 - ) + ] extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - return (categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic) + return categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic, @@ -129,7 +125,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu Function that returns the feasible score in logic based on items obtained. """ tup = ( - categories, + tuple([c.name + str(c.quantity) for c in categories]), num_dice, num_rolls, fixed_mult, @@ -142,7 +138,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu return yachtdice_cache[tup] # sort categories because for the step multiplier, you will want low-scoring categories first - categories = sorted(categories, key=lambda category: category.mean_score(num_dice, num_rolls)) + categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) # function to add two discrete distribution. # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) From 353a676301288eab73bc1fb0880c4cf93ce994fd Mon Sep 17 00:00:00 2001 From: spinerak Date: Thu, 13 Jun 2024 00:00:54 +0200 Subject: [PATCH 084/127] temporary push: 40% faster generation test Small changes in logic make the generation 40% faster. I'll have to think about how big the changes are. I suspect they are rather limited. If this is the way to go, I'll remove the temp file and redo the YachtWeights file, I'll remove the functions there and just put the new weights here. --- worlds/yachtdice/Rules.py | 1 + worlds/yachtdice/YachtWeights.py | 25 + .../yachtdice/temp_YachtWeights_make_small.py | 7978 +++++++++++++++++ 3 files changed, 8004 insertions(+) create mode 100644 worlds/yachtdice/temp_YachtWeights_make_small.py diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 1eb748725429..b4984ca56abc 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -159,6 +159,7 @@ def max_dist(dist1, mults): for val1, prob1 in c.items(): for val2, prob2 in dist1.items(): new_val = int(max(val1, val2 * mult)) + new_val = new_val - new_val % 2 new_prob = prob1 * prob2 # Update the probability for the new value diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 3b788d5c880b..99f948947746 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -7904,3 +7904,28 @@ ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, } + +def round_down_to_nearest(n, k): + return n - (n % k) + +def combine_rounded_keys(yacht_weights, change_category): + new_yacht_weights = {} + for main_key, sub_dict in yacht_weights.items(): + if main_key[0] in change_category: + new_sub_dict = {} + for key, value in sub_dict.items(): + rounded_key = round_down_to_nearest(key, 2) + if rounded_key in new_sub_dict: + new_sub_dict[rounded_key] += value + else: + new_sub_dict[rounded_key] = value + new_yacht_weights[main_key] = new_sub_dict + else: + new_yacht_weights[main_key] = sub_dict + return new_yacht_weights + +change_category = ['SumOfEvens', 'DoubleThreesAndFours', 'TinyStraight', 'MicroStraight', 'TwosAndThrees', 'TwoOneTwoConsecutive', 'TwoPair', 'FiveDistinctDice', 'Threes', 'ThreeOdds', 'Ones', 'FourAndFiveFullHouse', 'Pair', 'OneTwoOneConsecutive', 'Distincts', 'SmallStraight', 'Yacht', 'QuadrupleOnesAndTwos', 'Fours', 'LargeStraight', 'Fives', 'FullHouse', 'SumOfOdds', 'Sixes', 'ThreeOfAKind', 'Twos', 'FourOfAKind', 'Choice', 'ThreeDistinctDice'] + + + +yacht_weights = combine_rounded_keys(yacht_weights, change_category) diff --git a/worlds/yachtdice/temp_YachtWeights_make_small.py b/worlds/yachtdice/temp_YachtWeights_make_small.py new file mode 100644 index 000000000000..228b4da3bf9c --- /dev/null +++ b/worlds/yachtdice/temp_YachtWeights_make_small.py @@ -0,0 +1,7978 @@ +# A file containing the results of our simulations. +# Every entry consists of a key. This key has input category, number of dice, and number of rolls. +# The value then shows a list of all possible scores to get, and how many times of 100000 it achieved. + +# example: ("Choice", 2, 2): +# {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} +# this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. +# 13639 out of 100000 times, a score of 8 was achieved for example. +yacht_weights = { + ("Ones", 0, 0): {0: 100000}, + ("Ones", 0, 1): {0: 100000}, + ("Ones", 0, 2): {0: 100000}, + ("Ones", 0, 3): {0: 100000}, + ("Ones", 0, 4): {0: 100000}, + ("Ones", 0, 5): {0: 100000}, + ("Ones", 0, 6): {0: 100000}, + ("Ones", 0, 7): {0: 100000}, + ("Ones", 0, 8): {0: 100000}, + ("Ones", 1, 0): {0: 100000}, + ("Ones", 1, 1): {0: 83416, 1: 16584}, + ("Ones", 1, 2): {0: 69346, 1: 30654}, + ("Ones", 1, 3): {0: 57756, 1: 42244}, + ("Ones", 1, 4): {0: 48709, 1: 51291}, + ("Ones", 1, 5): {1: 59786, 0: 40214}, + ("Ones", 1, 6): {1: 66509, 0: 33491}, + ("Ones", 1, 7): {1: 72162, 0: 27838}, + ("Ones", 1, 8): {0: 23094, 1: 76906}, + ("Ones", 2, 0): {0: 100000}, + ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, + ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, + ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, + ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, + ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, + ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, + ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, + ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, + ("Ones", 3, 0): {0: 100000}, + ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, + ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, + ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, + ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, + ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, + ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, + ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, + ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, + ("Ones", 4, 0): {0: 100000}, + ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, + ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, + ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, + ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, + ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, + ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, + ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, + ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, + ("Ones", 5, 0): {0: 100000}, + ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, + ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, + ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, + ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, + ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, + ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, + ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, + ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, + ("Ones", 6, 0): {0: 100000}, + ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, + ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, + ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, + ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, + ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, + ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, + ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, + ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, + ("Ones", 7, 0): {0: 100000}, + 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("OneTwoOneConsecutive", 3, 4): {0: 100000}, + ("OneTwoOneConsecutive", 3, 5): {0: 100000}, + ("OneTwoOneConsecutive", 3, 6): {0: 100000}, + ("OneTwoOneConsecutive", 3, 7): {0: 100000}, + ("OneTwoOneConsecutive", 3, 8): {0: 100000}, + ("OneTwoOneConsecutive", 4, 1): {0: 96371, 30: 3629}, + ("OneTwoOneConsecutive", 4, 2): {30: 13395, 0: 86605}, + ("OneTwoOneConsecutive", 4, 3): {0: 75037, 30: 24963}, + ("OneTwoOneConsecutive", 4, 4): {30: 36344, 0: 63656}, + ("OneTwoOneConsecutive", 4, 5): {30: 46131, 0: 53869}, + ("OneTwoOneConsecutive", 4, 6): {30: 54869, 0: 45131}, + ("OneTwoOneConsecutive", 4, 7): {30: 62465, 0: 37535}, + ("OneTwoOneConsecutive", 4, 8): {30: 68575, 0: 31425}, + ("OneTwoOneConsecutive", 5, 1): {0: 86632, 30: 13368}, + ("OneTwoOneConsecutive", 5, 2): {0: 62779, 30: 37221}, + ("OneTwoOneConsecutive", 5, 3): {30: 53966, 0: 46034}, + ("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, + ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, + ("OneTwoOneConsecutive", 5, 6): {30: 76850, 0: 23150}, + ("OneTwoOneConsecutive", 5, 7): {30: 80423, 0: 19577}, + ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, + ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, + ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, + ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, + ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, + ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, + ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, + ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, + ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, + ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, + ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, + ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, + ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, + ("OneTwoOneConsecutive", 7, 5): {30: 92280, 0: 7720}, + ("OneTwoOneConsecutive", 7, 6): {30: 94446, 0: 5554}, + ("OneTwoOneConsecutive", 7, 7): {30: 95894, 0: 4106}, + ("OneTwoOneConsecutive", 7, 8): {30: 96975, 0: 3025}, + ("OneTwoOneConsecutive", 8, 1): {30: 59307, 0: 40693}, + ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, + ("OneTwoOneConsecutive", 8, 3): {30: 91805, 0: 8195}, + ("OneTwoOneConsecutive", 8, 4): {30: 94617, 0: 5383}, + ("OneTwoOneConsecutive", 8, 5): {30: 96605, 0: 3395}, + ("OneTwoOneConsecutive", 8, 6): {30: 97701, 0: 2299}, + ("OneTwoOneConsecutive", 8, 7): {30: 98588, 0: 1412}, + ("OneTwoOneConsecutive", 8, 8): {30: 99128, 0: 872}, + ("ThreeDistinctDice", 1, 1): {0: 100000}, + ("ThreeDistinctDice", 1, 2): {0: 100000}, + ("ThreeDistinctDice", 1, 3): {0: 100000}, + ("ThreeDistinctDice", 1, 4): {0: 100000}, + ("ThreeDistinctDice", 1, 5): {0: 100000}, + ("ThreeDistinctDice", 1, 6): {0: 100000}, + ("ThreeDistinctDice", 1, 7): {0: 100000}, + ("ThreeDistinctDice", 1, 8): {0: 100000}, + ("ThreeDistinctDice", 2, 1): {0: 100000}, + ("ThreeDistinctDice", 2, 2): {0: 100000}, + ("ThreeDistinctDice", 2, 3): {0: 100000}, + ("ThreeDistinctDice", 2, 4): {0: 100000}, + ("ThreeDistinctDice", 2, 5): {0: 100000}, + ("ThreeDistinctDice", 2, 6): {0: 100000}, + ("ThreeDistinctDice", 2, 7): {0: 100000}, + ("ThreeDistinctDice", 2, 8): {0: 100000}, + ("ThreeDistinctDice", 3, 1): {20: 55293, 0: 44707}, + ("ThreeDistinctDice", 3, 2): {0: 15078, 20: 84922}, + ("ThreeDistinctDice", 3, 3): {20: 94944, 0: 5056}, + ("ThreeDistinctDice", 3, 4): {0: 1688, 20: 98312}, + ("ThreeDistinctDice", 3, 5): {20: 99484, 0: 516}, + ("ThreeDistinctDice", 3, 6): {20: 99818, 0: 182}, + ("ThreeDistinctDice", 3, 7): {20: 99944, 0: 56}, + ("ThreeDistinctDice", 3, 8): {20: 99985, 0: 15}, + ("ThreeDistinctDice", 4, 1): {20: 83279, 0: 16721}, + ("ThreeDistinctDice", 4, 2): {20: 98174, 0: 1826}, + ("ThreeDistinctDice", 4, 3): {20: 99797, 0: 203}, + ("ThreeDistinctDice", 4, 4): {20: 99982, 0: 18}, + ("ThreeDistinctDice", 4, 5): {20: 99997, 0: 3}, + ("ThreeDistinctDice", 4, 6): {20: 100000}, + ("ThreeDistinctDice", 4, 7): {20: 100000}, + ("ThreeDistinctDice", 4, 8): {20: 100000}, + ("ThreeDistinctDice", 5, 1): {0: 5904, 20: 94096}, + ("ThreeDistinctDice", 5, 2): {20: 99764, 0: 236}, + ("ThreeDistinctDice", 5, 3): {20: 99988, 0: 12}, + ("ThreeDistinctDice", 5, 4): {20: 100000}, + ("ThreeDistinctDice", 5, 5): {20: 100000}, + ("ThreeDistinctDice", 5, 6): {20: 100000}, + ("ThreeDistinctDice", 5, 7): {20: 100000}, + ("ThreeDistinctDice", 5, 8): {20: 100000}, + ("ThreeDistinctDice", 6, 1): {20: 98008, 0: 1992}, + ("ThreeDistinctDice", 6, 2): {20: 99979, 0: 21}, + ("ThreeDistinctDice", 6, 3): {20: 100000}, + ("ThreeDistinctDice", 6, 4): {20: 100000}, + ("ThreeDistinctDice", 6, 5): {20: 100000}, + ("ThreeDistinctDice", 6, 6): {20: 100000}, + ("ThreeDistinctDice", 6, 7): {20: 100000}, + ("ThreeDistinctDice", 6, 8): {20: 100000}, + ("ThreeDistinctDice", 7, 1): {20: 99308, 0: 692}, + ("ThreeDistinctDice", 7, 2): {20: 99996, 0: 4}, + ("ThreeDistinctDice", 7, 3): {20: 100000}, + ("ThreeDistinctDice", 7, 4): {20: 100000}, + ("ThreeDistinctDice", 7, 5): {20: 100000}, + ("ThreeDistinctDice", 7, 6): {20: 100000}, + ("ThreeDistinctDice", 7, 7): {20: 100000}, + ("ThreeDistinctDice", 7, 8): {20: 100000}, + ("ThreeDistinctDice", 8, 1): {20: 99757, 0: 243}, + ("ThreeDistinctDice", 8, 2): {20: 99999, 0: 1}, + ("ThreeDistinctDice", 8, 3): {20: 100000}, + ("ThreeDistinctDice", 8, 4): {20: 100000}, + ("ThreeDistinctDice", 8, 5): {20: 100000}, + ("ThreeDistinctDice", 8, 6): {20: 100000}, + ("ThreeDistinctDice", 8, 7): {20: 100000}, + ("ThreeDistinctDice", 8, 8): {20: 100000}, + ("TwoPair", 1, 1): {0: 100000}, + ("TwoPair", 1, 2): {0: 100000}, + ("TwoPair", 1, 3): {0: 100000}, + ("TwoPair", 1, 4): {0: 100000}, + ("TwoPair", 1, 5): {0: 100000}, + ("TwoPair", 1, 6): {0: 100000}, + ("TwoPair", 1, 7): {0: 100000}, + ("TwoPair", 1, 8): {0: 100000}, + ("TwoPair", 2, 1): {0: 100000}, + ("TwoPair", 2, 2): {0: 100000}, + ("TwoPair", 2, 3): {0: 100000}, + ("TwoPair", 2, 4): {0: 100000}, + ("TwoPair", 2, 5): {0: 100000}, + ("TwoPair", 2, 6): {0: 100000}, + ("TwoPair", 2, 7): {0: 100000}, + ("TwoPair", 2, 8): {0: 100000}, + ("TwoPair", 3, 1): {0: 100000}, + ("TwoPair", 3, 2): {0: 100000}, + ("TwoPair", 3, 3): {0: 100000}, + ("TwoPair", 3, 4): {0: 100000}, + ("TwoPair", 3, 5): {0: 100000}, + ("TwoPair", 3, 6): {0: 100000}, + ("TwoPair", 3, 7): {0: 100000}, + ("TwoPair", 3, 8): {0: 100000}, + ("TwoPair", 4, 1): {0: 93065, 30: 6935}, + ("TwoPair", 4, 2): {0: 82102, 30: 17898}, + ("TwoPair", 4, 3): {0: 71209, 30: 28791}, + ("TwoPair", 4, 4): {0: 61609, 30: 38391}, + ("TwoPair", 4, 5): {30: 46964, 0: 53036}, + ("TwoPair", 4, 6): {0: 45705, 30: 54295}, + ("TwoPair", 4, 7): {0: 39398, 30: 60602}, + ("TwoPair", 4, 8): {30: 66327, 0: 33673}, + ("TwoPair", 5, 1): {30: 27153, 0: 72847}, + ("TwoPair", 5, 2): {30: 53241, 0: 46759}, + ("TwoPair", 5, 3): {30: 70538, 0: 29462}, + ("TwoPair", 5, 4): {30: 81649, 0: 18351}, + ("TwoPair", 5, 5): {30: 88207, 0: 11793}, + ("TwoPair", 5, 6): {30: 92615, 0: 7385}, + ("TwoPair", 5, 7): {30: 95390, 0: 4610}, + ("TwoPair", 5, 8): {30: 97062, 0: 2938}, + ("TwoPair", 6, 1): {30: 55569, 0: 44431}, + ("TwoPair", 6, 2): {30: 82817, 0: 17183}, + ("TwoPair", 6, 3): {30: 93241, 0: 6759}, + ("TwoPair", 6, 4): {30: 97438, 0: 2562}, + ("TwoPair", 6, 5): {30: 99052, 0: 948}, + ("TwoPair", 6, 6): {30: 99625, 0: 375}, + ("TwoPair", 6, 7): {30: 99862, 0: 138}, + ("TwoPair", 6, 8): {30: 99943, 0: 57}, + ("TwoPair", 7, 1): {0: 19888, 30: 80112}, + ("TwoPair", 7, 2): {30: 96065, 0: 3935}, + ("TwoPair", 7, 3): {30: 99199, 0: 801}, + ("TwoPair", 7, 4): {30: 99825, 0: 175}, + ("TwoPair", 7, 5): {30: 99969, 0: 31}, + ("TwoPair", 7, 6): {30: 99993, 0: 7}, + ("TwoPair", 7, 7): {30: 99998, 0: 2}, + ("TwoPair", 7, 8): {30: 100000}, + ("TwoPair", 8, 1): {30: 93209, 0: 6791}, + ("TwoPair", 8, 2): {30: 99412, 0: 588}, + ("TwoPair", 8, 3): {30: 99939, 0: 61}, + ("TwoPair", 8, 4): {30: 99994, 0: 6}, + ("TwoPair", 8, 5): {30: 100000}, + ("TwoPair", 8, 6): {30: 100000}, + ("TwoPair", 8, 7): 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("TwoOneTwoConsecutive", 3, 5): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, + ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, + ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, + ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, + ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, + ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, + ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, + ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, + ("TwoOneTwoConsecutive", 5, 8): {40: 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("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, + ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, + ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, + ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, + ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, + ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, + ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, + ("FiveDistinctDice", 1, 1): {0: 100000}, + ("FiveDistinctDice", 1, 2): {0: 100000}, + ("FiveDistinctDice", 1, 3): {0: 100000}, + ("FiveDistinctDice", 1, 4): {0: 100000}, + ("FiveDistinctDice", 1, 5): {0: 100000}, + ("FiveDistinctDice", 1, 6): {0: 100000}, + ("FiveDistinctDice", 1, 7): {0: 100000}, + ("FiveDistinctDice", 1, 8): {0: 100000}, + ("FiveDistinctDice", 2, 1): {0: 100000}, + ("FiveDistinctDice", 2, 2): {0: 100000}, + ("FiveDistinctDice", 2, 3): {0: 100000}, + ("FiveDistinctDice", 2, 4): {0: 100000}, + ("FiveDistinctDice", 2, 5): {0: 100000}, + ("FiveDistinctDice", 2, 6): {0: 100000}, + ("FiveDistinctDice", 2, 7): {0: 100000}, + ("FiveDistinctDice", 2, 8): {0: 100000}, + ("FiveDistinctDice", 3, 1): {0: 100000}, + ("FiveDistinctDice", 3, 2): {0: 100000}, + ("FiveDistinctDice", 3, 3): {0: 100000}, + ("FiveDistinctDice", 3, 4): {0: 100000}, + ("FiveDistinctDice", 3, 5): {0: 100000}, + ("FiveDistinctDice", 3, 6): {0: 100000}, + ("FiveDistinctDice", 3, 7): {0: 100000}, + ("FiveDistinctDice", 3, 8): {0: 100000}, + ("FiveDistinctDice", 4, 1): {0: 100000}, + ("FiveDistinctDice", 4, 2): {0: 100000}, + ("FiveDistinctDice", 4, 3): {0: 100000}, + ("FiveDistinctDice", 4, 4): {0: 100000}, + ("FiveDistinctDice", 4, 5): {0: 100000}, + ("FiveDistinctDice", 4, 6): {0: 100000}, + ("FiveDistinctDice", 4, 7): {0: 100000}, + ("FiveDistinctDice", 4, 8): {0: 100000}, + ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, + ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, + ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, + ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, + ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, + ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, + ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, + ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, + ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, + ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, + ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, + ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, + ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, + ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, + ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, + ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, + ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, + ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, + ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, + ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, + ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, + ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, + ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, + ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, + ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, + ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, + ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, + ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, + ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, + ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, + ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, + ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, + ("FourAndFiveFullHouse", 1, 1): {0: 100000}, + ("FourAndFiveFullHouse", 1, 2): {0: 100000}, + ("FourAndFiveFullHouse", 1, 3): {0: 100000}, + ("FourAndFiveFullHouse", 1, 4): {0: 100000}, + ("FourAndFiveFullHouse", 1, 5): {0: 100000}, + ("FourAndFiveFullHouse", 1, 6): {0: 100000}, + ("FourAndFiveFullHouse", 1, 7): {0: 100000}, + ("FourAndFiveFullHouse", 1, 8): {0: 100000}, + ("FourAndFiveFullHouse", 2, 1): {0: 100000}, + ("FourAndFiveFullHouse", 2, 2): {0: 100000}, + ("FourAndFiveFullHouse", 2, 3): {0: 100000}, + ("FourAndFiveFullHouse", 2, 4): {0: 100000}, + ("FourAndFiveFullHouse", 2, 5): {0: 100000}, + ("FourAndFiveFullHouse", 2, 6): {0: 100000}, + ("FourAndFiveFullHouse", 2, 7): {0: 100000}, + ("FourAndFiveFullHouse", 2, 8): {0: 100000}, + ("FourAndFiveFullHouse", 3, 1): {0: 100000}, + ("FourAndFiveFullHouse", 3, 2): {0: 100000}, + ("FourAndFiveFullHouse", 3, 3): {0: 100000}, + ("FourAndFiveFullHouse", 3, 4): {0: 100000}, + ("FourAndFiveFullHouse", 3, 5): {0: 100000}, + ("FourAndFiveFullHouse", 3, 6): {0: 100000}, + ("FourAndFiveFullHouse", 3, 7): {0: 100000}, + ("FourAndFiveFullHouse", 3, 8): {0: 100000}, + ("FourAndFiveFullHouse", 4, 1): {0: 100000}, + ("FourAndFiveFullHouse", 4, 2): {0: 100000}, + ("FourAndFiveFullHouse", 4, 3): {0: 100000}, + ("FourAndFiveFullHouse", 4, 4): {0: 100000}, + ("FourAndFiveFullHouse", 4, 5): {0: 100000}, + ("FourAndFiveFullHouse", 4, 6): {0: 100000}, + ("FourAndFiveFullHouse", 4, 7): {0: 100000}, + ("FourAndFiveFullHouse", 4, 8): {0: 100000}, + ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, + ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, + ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, + ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, + ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, + ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, + ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, + ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, + ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, + ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, + ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, + ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, + ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, + ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, + ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, + ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, + ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, + ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, + ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, + ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, + ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, + ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, + ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, + ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, + ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, + ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, + ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, + ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, + ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, + ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, + ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, + ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, +} + +import time + +def process_dictionary(input_dict): + # Sort the dictionary by keys + sorted_dict = dict(sorted(input_dict.items())) + keep = sorted_dict + + added_to_keys = {} # Dictionary to keep track of keys and their addition counts + # Function to process the dictionary + def process_dict(d): + keys = list(d.keys()) + modified = False + + a = mean_value(input_dict) + b = mean_value(sorted_dict) + + if abs(a-b) < 1: + for i in range(len(keys) - 1): + key1, key2 = keys[i], keys[i + 1] + val1, val2 = d[key1], d[key2] + + # if added_to_keys.get(key1, 0) < 3 or added_to_keys.get(key2, 0) < 3: + # continue # Skip if either key has already been added to 3 times + + if val1 < val2 and val1 * (key2 - key1) < 1000 and (len(keys) > 3 or i > 0): + d[key2] += val1 + added_to_keys[key2] = added_to_keys.get(key2, 0) + 1 # Mark key2 as added to + del d[key1] + modified = True + break + elif val2 <= val1 and val2 * (key2 - key1) < 30000 and i < len(keys) - 2: + d[key1] += val2 + added_to_keys[key1] = added_to_keys.get(key1, 0) + 1 # Mark key1 as added to + del d[key2] + modified = True + break + + return d, modified + + + modified = True + while modified: + sorted_dict, modified = process_dict(sorted_dict) + + # Check if the sum of all values is 100000 + total_sum = sum(sorted_dict.values()) + if total_sum != 100000: + raise ValueError(f"The total sum of values is {total_sum}, which does not equal 100000.") + if input_dict != sorted_dict: + a = mean_value(input_dict) + b = mean_value(sorted_dict) + if abs(a-b) > 2: + print(f"{dict(sorted(input_dict.items()))} -> {sorted_dict}\n {mean_value(input_dict)} {mean_value(sorted_dict)}\n\n") + + return sorted_dict + +def mean_value(dictt): + summ = 0 + for key, value in dictt.items(): + summ += key * value + return summ/100000 + + +def combine_rounded_keys(yacht_weights): + new_yacht_weights = {} + for main_key, sub_dict in yacht_weights.items(): + new_yacht_weights[main_key] = process_dictionary(sub_dict) + return new_yacht_weights + + +yacht_weights = combine_rounded_keys(yacht_weights) \ No newline at end of file From cd6886062cb8a1548080227beef274bb8007dfbd Mon Sep 17 00:00:00 2001 From: spinerak Date: Thu, 13 Jun 2024 23:07:15 +0200 Subject: [PATCH 085/127] Add Points item category --- worlds/yachtdice/Items.py | 6 ++++++ worlds/yachtdice/Options.py | 2 +- 2 files changed, 7 insertions(+), 1 deletion(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index 05f19c7efa13..df5edb45e0e4 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -109,4 +109,10 @@ class YachtDiceItem(Item): "Category Five Distinct Dice", "Category 4&5 Full House", }, + "Points": { + "100 Points", + "10 Points", + "1 Point", + "Bonus Point" + } } diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 2d914a8ca62a..d141677f528a 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -325,5 +325,5 @@ class YachtDiceOptions(PerGameCommonOptions): AddStoryChapters, WhichStory ] - ), + ) ] From e11aba1cfcee67b2554ff6bc88f992272638bce4 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 01:29:54 +0200 Subject: [PATCH 086/127] Reverse changes of bad idea :) --- worlds/yachtdice/Rules.py | 3 +- worlds/yachtdice/YachtWeights.py | 23 - .../yachtdice/temp_YachtWeights_make_small.py | 7978 ----------------- 3 files changed, 2 insertions(+), 8002 deletions(-) delete mode 100644 worlds/yachtdice/temp_YachtWeights_make_small.py diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index b4984ca56abc..69f6a4bd67ca 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -159,7 +159,6 @@ def max_dist(dist1, mults): for val1, prob1 in c.items(): for val2, prob2 in dist1.items(): new_val = int(max(val1, val2 * mult)) - new_val = new_val - new_val % 2 new_prob = prob1 * prob2 # Update the probability for the new value @@ -212,6 +211,7 @@ def percentile_distribution(dist, percentile): # save result into the cache, then return it outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) yachtdice_cache[tup] = max(5, math.floor(outcome)) # at least 5. + return yachtdice_cache[tup] @@ -262,3 +262,4 @@ def set_yacht_completion_rules(world: MultiWorld, player: int): Sets rules on completion condition """ world.completion_condition[player] = lambda state: state.has("Victory", player) + \ No newline at end of file diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 99f948947746..ee3378c05597 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -7905,27 +7905,4 @@ ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, } -def round_down_to_nearest(n, k): - return n - (n % k) -def combine_rounded_keys(yacht_weights, change_category): - new_yacht_weights = {} - for main_key, sub_dict in yacht_weights.items(): - if main_key[0] in change_category: - new_sub_dict = {} - for key, value in sub_dict.items(): - rounded_key = round_down_to_nearest(key, 2) - if rounded_key in new_sub_dict: - new_sub_dict[rounded_key] += value - else: - new_sub_dict[rounded_key] = value - new_yacht_weights[main_key] = new_sub_dict - else: - new_yacht_weights[main_key] = sub_dict - return new_yacht_weights - -change_category = ['SumOfEvens', 'DoubleThreesAndFours', 'TinyStraight', 'MicroStraight', 'TwosAndThrees', 'TwoOneTwoConsecutive', 'TwoPair', 'FiveDistinctDice', 'Threes', 'ThreeOdds', 'Ones', 'FourAndFiveFullHouse', 'Pair', 'OneTwoOneConsecutive', 'Distincts', 'SmallStraight', 'Yacht', 'QuadrupleOnesAndTwos', 'Fours', 'LargeStraight', 'Fives', 'FullHouse', 'SumOfOdds', 'Sixes', 'ThreeOfAKind', 'Twos', 'FourOfAKind', 'Choice', 'ThreeDistinctDice'] - - - -yacht_weights = combine_rounded_keys(yacht_weights, change_category) diff --git a/worlds/yachtdice/temp_YachtWeights_make_small.py b/worlds/yachtdice/temp_YachtWeights_make_small.py deleted file mode 100644 index 228b4da3bf9c..000000000000 --- a/worlds/yachtdice/temp_YachtWeights_make_small.py +++ /dev/null @@ -1,7978 +0,0 @@ -# A file containing the results of our simulations. -# Every entry consists of a key. This key has input category, number of dice, and number of rolls. -# The value then shows a list of all possible scores to get, and how many times of 100000 it achieved. - -# example: ("Choice", 2, 2): -# {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} -# this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. -# 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = { - ("Ones", 0, 0): {0: 100000}, - ("Ones", 0, 1): {0: 100000}, - ("Ones", 0, 2): {0: 100000}, - ("Ones", 0, 3): {0: 100000}, - ("Ones", 0, 4): {0: 100000}, - ("Ones", 0, 5): {0: 100000}, - ("Ones", 0, 6): {0: 100000}, - ("Ones", 0, 7): {0: 100000}, - ("Ones", 0, 8): {0: 100000}, - ("Ones", 1, 0): {0: 100000}, - ("Ones", 1, 1): {0: 83416, 1: 16584}, - ("Ones", 1, 2): {0: 69346, 1: 30654}, - ("Ones", 1, 3): {0: 57756, 1: 42244}, - ("Ones", 1, 4): {0: 48709, 1: 51291}, - ("Ones", 1, 5): {1: 59786, 0: 40214}, - ("Ones", 1, 6): {1: 66509, 0: 33491}, - ("Ones", 1, 7): {1: 72162, 0: 27838}, - ("Ones", 1, 8): {0: 23094, 1: 76906}, - ("Ones", 2, 0): {0: 100000}, - ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, - ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, - ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, - ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, - ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, - ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, - ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, - ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, - ("Ones", 3, 0): {0: 100000}, - ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, - ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, - ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, - ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, - ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, - ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, - ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, - ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, - ("Ones", 4, 0): {0: 100000}, - ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, - ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, - ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, - ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, - ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, - ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, - ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, - ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, - ("Ones", 5, 0): {0: 100000}, - ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, - ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, - ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, - ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, - ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, - ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, - ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, - ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, - ("Ones", 6, 0): {0: 100000}, - ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, - ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, - ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, - ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, - ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, - ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, - ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, - ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, - ("Ones", 7, 0): {0: 100000}, - ("Ones", 7, 1): {2: 23331, 0: 27838, 1: 39224, 3: 7827, 4: 1536, 5: 235, 6: 9}, - ("Ones", 7, 2): {3: 23224, 2: 31678, 1: 23850, 4: 10350, 5: 2696, 0: 7796, 6: 387, 7: 19}, - ("Ones", 7, 3): {6: 2239, 2: 24317, 1: 11142, 3: 29131, 5: 9405, 4: 21297, 0: 2247, 7: 222}, - ("Ones", 7, 4): {4: 28065, 5: 17986, 2: 14787, 1: 4647, 3: 26420, 6: 6464, 7: 1026, 0: 605}, - ("Ones", 7, 5): {5: 26190, 4: 28867, 6: 12698, 3: 19667, 2: 7907, 1: 1773, 7: 2724, 0: 174}, - ("Ones", 7, 6): {4: 25653, 3: 12915, 6: 20371, 5: 30596, 7: 5840, 2: 3905, 1: 669, 0: 51}, - ("Ones", 7, 7): {5: 32077, 4: 20364, 6: 27540, 3: 7943, 7: 10044, 2: 1802, 1: 213, 0: 17}, - ("Ones", 7, 8): {6: 33357, 4: 15425, 5: 30293, 7: 15406, 3: 4579, 2: 856, 1: 78, 0: 6}, - ("Ones", 8, 0): {0: 100000}, - ("Ones", 8, 1): {4: 2620, 2: 26136, 0: 23156, 1: 37295, 3: 10332, 5: 417, 6: 39, 7: 4, 8: 1}, - ("Ones", 8, 2): {4: 14130, 3: 25847, 0: 5472, 2: 29314, 1: 19058, 5: 5000, 6: 1038, 7: 133, 8: 8}, - ("Ones", 8, 3): {1: 7452, 6: 5203, 3: 27032, 5: 14360, 4: 24664, 2: 18864, 7: 1114, 0: 1209, 8: 102}, - ("Ones", 8, 4): {4: 27157, 2: 9318, 6: 12536, 3: 20389, 5: 23430, 7: 3804, 1: 2540, 8: 559, 0: 267}, - ("Ones", 8, 5): {6: 20582, 3: 12395, 4: 23638, 5: 27792, 1: 817, 7: 8765, 2: 4298, 8: 1655, 0: 58}, - ("Ones", 8, 6): {6: 27112, 7: 15535, 5: 27508, 4: 17025, 3: 6901, 8: 3948, 2: 1716, 1: 242, 0: 13}, - ("Ones", 8, 7): {5: 23980, 4: 11343, 7: 22673, 6: 30438, 8: 7330, 3: 3508, 2: 643, 1: 82, 0: 3}, - ("Ones", 8, 8): {6: 30830, 4: 7029, 7: 29143, 8: 12025, 5: 18895, 3: 1768, 2: 286, 1: 23, 0: 1}, - ("Twos", 0, 0): {0: 100000}, - ("Twos", 0, 1): {0: 100000}, - ("Twos", 0, 2): {0: 100000}, - ("Twos", 0, 3): {0: 100000}, - ("Twos", 0, 4): {0: 100000}, - ("Twos", 0, 5): {0: 100000}, - ("Twos", 0, 6): {0: 100000}, - ("Twos", 0, 7): {0: 100000}, - ("Twos", 0, 8): {0: 100000}, - ("Twos", 1, 0): {0: 100000}, - ("Twos", 1, 1): {0: 83475, 2: 16525}, - ("Twos", 1, 2): {0: 69690, 2: 30310}, - ("Twos", 1, 3): {0: 57818, 2: 42182}, - ("Twos", 1, 4): {0: 48418, 2: 51582}, - ("Twos", 1, 5): {2: 59699, 0: 40301}, - ("Twos", 1, 6): {2: 66442, 0: 33558}, - ("Twos", 1, 7): {2: 71818, 0: 28182}, - ("Twos", 1, 8): {0: 23406, 2: 76594}, - ("Twos", 2, 0): {0: 100000}, - ("Twos", 2, 1): {0: 69724, 2: 27485, 4: 2791}, - ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, - ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, - ("Twos", 2, 4): {2: 49957, 4: 26907, 0: 23136}, - ("Twos", 2, 5): {4: 35654, 2: 48200, 0: 16146}, - ("Twos", 2, 6): {4: 44420, 2: 44497, 0: 11083}, - ("Twos", 2, 7): {4: 51995, 2: 40343, 0: 7662}, - ("Twos", 2, 8): {4: 59120, 2: 35526, 0: 5354}, - ("Twos", 3, 0): {0: 100000}, - ("Twos", 3, 1): {2: 34522, 0: 58021, 4: 6995, 6: 462}, - ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 19358, 6: 2833}, - ("Twos", 3, 3): {2: 42372, 4: 30748, 0: 19375, 6: 7505}, - ("Twos", 3, 4): {6: 13998, 4: 38569, 2: 36435, 0: 10998}, - ("Twos", 3, 5): {4: 43283, 2: 28838, 6: 21360, 0: 6519}, - ("Twos", 3, 6): {6: 29650, 4: 44233, 2: 22498, 0: 3619}, - ("Twos", 3, 7): {6: 37142, 2: 16979, 4: 43684, 0: 2195}, - ("Twos", 3, 8): {6: 45405, 4: 40920, 2: 12420, 0: 1255}, - ("Twos", 4, 0): {0: 100000}, - ("Twos", 4, 1): {4: 11628, 0: 48235, 2: 38602, 6: 1463, 8: 72}, - ("Twos", 4, 2): {2: 40678, 0: 23289, 6: 8032, 4: 27102, 8: 899}, - ("Twos", 4, 3): {6: 17263, 2: 32677, 0: 11177, 4: 35702, 8: 3181}, - ("Twos", 4, 4): {6: 26867, 4: 37240, 8: 7169, 2: 23225, 0: 5499}, - ("Twos", 4, 5): {4: 34605, 6: 34268, 8: 12771, 2: 15782, 0: 2574}, - ("Twos", 4, 6): {8: 19602, 4: 29706, 2: 9910, 6: 39523, 0: 1259}, - ("Twos", 4, 7): {2: 6323, 4: 24103, 6: 41894, 8: 27058, 0: 622}, - ("Twos", 4, 8): {6: 42309, 4: 18855, 2: 3813, 8: 34745, 0: 278}, - ("Twos", 5, 0): {0: 100000}, - ("Twos", 5, 1): {0: 40028, 2: 40241, 6: 3383, 4: 16003, 8: 334, 10: 11}, - ("Twos", 5, 2): {0: 16009, 6: 13797, 4: 31024, 8: 2985, 2: 35901, 10: 284}, - ("Twos", 5, 3): {8: 9087, 2: 23477, 4: 34349, 10: 1328, 6: 25270, 0: 6489}, - ("Twos", 5, 4): {4: 30199, 2: 14032, 8: 17149, 10: 3748, 6: 32214, 0: 2658}, - ("Twos", 5, 5): {4: 23643, 8: 25853, 10: 7495, 6: 33993, 0: 1032, 2: 7984}, - ("Twos", 5, 6): {6: 32774, 2: 4152, 8: 32900, 10: 13183, 0: 450, 4: 16541}, - ("Twos", 5, 7): {6: 29481, 8: 37636, 10: 19256, 4: 11231, 2: 2226, 0: 170}, - ("Twos", 5, 8): {10: 26467, 8: 40798, 6: 23993, 4: 7571, 2: 1108, 0: 63}, - ("Twos", 6, 0): {0: 100000}, - ("Twos", 6, 1): {0: 33502, 4: 19717, 2: 40413, 6: 5481, 8: 815, 10: 68, 12: 4}, - ("Twos", 6, 2): {2: 29638, 8: 6339, 4: 32701, 0: 11210, 6: 18988, 10: 1046, 12: 78}, - ("Twos", 6, 3): {6: 29102, 2: 16459, 8: 15825, 4: 29795, 0: 3673, 10: 4581, 12: 565}, - ("Twos", 6, 4): {2: 8048, 8: 25066, 4: 21977, 6: 31053, 10: 10654, 12: 1959, 0: 1243}, - ("Twos", 6, 5): {10: 18355, 4: 13949, 6: 28142, 8: 30723, 2: 3753, 12: 4637, 0: 441}, - ("Twos", 6, 6): {10: 26213, 6: 22222, 4: 8455, 8: 32692, 12: 8618, 2: 1679, 0: 121}, - ("Twos", 6, 7): {10: 32532, 8: 31410, 6: 16142, 12: 14270, 4: 4871, 2: 728, 0: 47}, - ("Twos", 6, 8): {12: 20612, 6: 11432, 10: 37237, 8: 27864, 4: 2544, 2: 299, 0: 12}, - ("Twos", 7, 0): {0: 100000}, - ("Twos", 7, 1): {2: 39060, 0: 27683, 8: 1580, 4: 23574, 6: 7899, 10: 192, 12: 12}, - ("Twos", 7, 2): {2: 24031, 6: 23095, 4: 31764, 0: 7824, 8: 10154, 10: 2733, 12: 376, 14: 23}, - ("Twos", 7, 3): {2: 11019, 6: 29599, 10: 9338, 8: 21250, 0: 2148, 4: 24197, 12: 2233, 14: 216}, - 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("ThreeOfAKind", 2, 7): {0: 100000}, - ("ThreeOfAKind", 2, 8): {0: 100000}, - ("ThreeOfAKind", 3, 0): {0: 100000}, - ("ThreeOfAKind", 3, 1): {0: 97222, 20: 2778}, - ("ThreeOfAKind", 3, 2): {0: 88880, 20: 11120}, - ("ThreeOfAKind", 3, 3): {0: 78187, 20: 21813}, - ("ThreeOfAKind", 3, 4): {0: 67476, 20: 32524}, - ("ThreeOfAKind", 3, 5): {20: 42524, 0: 57476}, - ("ThreeOfAKind", 3, 6): {20: 51490, 0: 48510}, - ("ThreeOfAKind", 3, 7): {20: 59079, 0: 40921}, - ("ThreeOfAKind", 3, 8): {20: 65467, 0: 34533}, - ("ThreeOfAKind", 4, 0): {0: 100000}, - ("ThreeOfAKind", 4, 1): {0: 90316, 20: 9684}, - ("ThreeOfAKind", 4, 2): {20: 31599, 0: 68401}, - ("ThreeOfAKind", 4, 3): {20: 50617, 0: 49383}, - ("ThreeOfAKind", 4, 4): {20: 65601, 0: 34399}, - ("ThreeOfAKind", 4, 5): {20: 75846, 0: 24154}, - ("ThreeOfAKind", 4, 6): {20: 83198, 0: 16802}, - ("ThreeOfAKind", 4, 7): {20: 88377, 0: 11623}, - ("ThreeOfAKind", 4, 8): {20: 91895, 0: 8105}, - ("ThreeOfAKind", 5, 0): {0: 100000}, - ("ThreeOfAKind", 5, 1): {0: 78629, 20: 21371}, - 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("FourOfAKind", 1, 4): {0: 100000}, - ("FourOfAKind", 1, 5): {0: 100000}, - ("FourOfAKind", 1, 6): {0: 100000}, - ("FourOfAKind", 1, 7): {0: 100000}, - ("FourOfAKind", 1, 8): {0: 100000}, - ("FourOfAKind", 2, 0): {0: 100000}, - ("FourOfAKind", 2, 1): {0: 100000}, - ("FourOfAKind", 2, 2): {0: 100000}, - ("FourOfAKind", 2, 3): {0: 100000}, - ("FourOfAKind", 2, 4): {0: 100000}, - ("FourOfAKind", 2, 5): {0: 100000}, - ("FourOfAKind", 2, 6): {0: 100000}, - ("FourOfAKind", 2, 7): {0: 100000}, - ("FourOfAKind", 2, 8): {0: 100000}, - ("FourOfAKind", 3, 0): {0: 100000}, - ("FourOfAKind", 3, 1): {0: 100000}, - ("FourOfAKind", 3, 2): {0: 100000}, - ("FourOfAKind", 3, 3): {0: 100000}, - ("FourOfAKind", 3, 4): {0: 100000}, - ("FourOfAKind", 3, 5): {0: 100000}, - ("FourOfAKind", 3, 6): {0: 100000}, - ("FourOfAKind", 3, 7): {0: 100000}, - ("FourOfAKind", 3, 8): {0: 100000}, - ("FourOfAKind", 4, 0): {0: 100000}, - ("FourOfAKind", 4, 1): {0: 99516, 30: 484}, - ("FourOfAKind", 4, 2): {0: 96122, 30: 3878}, - 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("LargeStraight", 7, 8): {40: 98059, 0: 1941}, - ("LargeStraight", 8, 0): {0: 100000}, - ("LargeStraight", 8, 1): {40: 26480, 0: 73520}, - ("LargeStraight", 8, 2): {40: 60969, 0: 39031}, - ("LargeStraight", 8, 3): {40: 80844, 0: 19156}, - ("LargeStraight", 8, 4): {40: 90696, 0: 9304}, - ("LargeStraight", 8, 5): {40: 95580, 0: 4420}, - ("LargeStraight", 8, 6): {40: 97859, 0: 2141}, - ("LargeStraight", 8, 7): {40: 98963, 0: 1037}, - ("LargeStraight", 8, 8): {40: 99489, 0: 511}, - ("FullHouse", 0, 0): {0: 100000}, - ("FullHouse", 0, 1): {0: 100000}, - ("FullHouse", 0, 2): {0: 100000}, - ("FullHouse", 0, 3): {0: 100000}, - ("FullHouse", 0, 4): {0: 100000}, - ("FullHouse", 0, 5): {0: 100000}, - ("FullHouse", 0, 6): {0: 100000}, - ("FullHouse", 0, 7): {0: 100000}, - ("FullHouse", 0, 8): {0: 100000}, - ("FullHouse", 1, 0): {0: 100000}, - ("FullHouse", 1, 1): {0: 100000}, - ("FullHouse", 1, 2): {0: 100000}, - ("FullHouse", 1, 3): {0: 100000}, - ("FullHouse", 1, 4): {0: 100000}, - ("FullHouse", 1, 5): {0: 100000}, - ("FullHouse", 1, 6): {0: 100000}, - ("FullHouse", 1, 7): {0: 100000}, - ("FullHouse", 1, 8): {0: 100000}, - ("FullHouse", 2, 0): {0: 100000}, - ("FullHouse", 2, 1): {0: 100000}, - ("FullHouse", 2, 2): {0: 100000}, - ("FullHouse", 2, 3): {0: 100000}, - ("FullHouse", 2, 4): {0: 100000}, - ("FullHouse", 2, 5): {0: 100000}, - ("FullHouse", 2, 6): {0: 100000}, - ("FullHouse", 2, 7): {0: 100000}, - ("FullHouse", 2, 8): {0: 100000}, - ("FullHouse", 3, 0): {0: 100000}, - ("FullHouse", 3, 1): {0: 100000}, - ("FullHouse", 3, 2): {0: 100000}, - ("FullHouse", 3, 3): {0: 100000}, - ("FullHouse", 3, 4): {0: 100000}, - ("FullHouse", 3, 5): {0: 100000}, - ("FullHouse", 3, 6): {0: 100000}, - ("FullHouse", 3, 7): {0: 100000}, - ("FullHouse", 3, 8): {0: 100000}, - ("FullHouse", 4, 0): {0: 100000}, - ("FullHouse", 4, 1): {0: 100000}, - ("FullHouse", 4, 2): {0: 100000}, - ("FullHouse", 4, 3): {0: 100000}, - ("FullHouse", 4, 4): {0: 100000}, - ("FullHouse", 4, 5): {0: 100000}, - ("FullHouse", 4, 6): {0: 100000}, - ("FullHouse", 4, 7): {0: 100000}, - ("FullHouse", 4, 8): {0: 100000}, - ("FullHouse", 5, 0): {0: 100000}, - ("FullHouse", 5, 1): {0: 96155, 25: 3845}, - ("FullHouse", 5, 2): {0: 81391, 25: 18609}, - ("FullHouse", 5, 3): {25: 35700, 0: 64300}, - ("FullHouse", 5, 4): {25: 50331, 0: 49669}, - ("FullHouse", 5, 5): {25: 61981, 0: 38019}, - ("FullHouse", 5, 6): {25: 70249, 0: 29751}, - ("FullHouse", 5, 7): {25: 77040, 0: 22960}, - ("FullHouse", 5, 8): {25: 81350, 0: 18650}, - ("FullHouse", 6, 0): {0: 100000}, - ("FullHouse", 6, 1): {25: 17011, 0: 82989}, - ("FullHouse", 6, 2): {0: 47153, 25: 52847}, - ("FullHouse", 6, 3): {25: 75849, 0: 24151}, - ("FullHouse", 6, 4): {0: 12519, 25: 87481}, - ("FullHouse", 6, 5): {25: 93476, 0: 6524}, - ("FullHouse", 6, 6): {0: 3606, 25: 96394}, - ("FullHouse", 6, 7): {25: 98041, 0: 1959}, - ("FullHouse", 6, 8): {25: 98974, 0: 1026}, - ("FullHouse", 7, 0): {0: 100000}, - ("FullHouse", 7, 1): {0: 60232, 25: 39768}, - ("FullHouse", 7, 2): {25: 81106, 0: 18894}, - 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("Yacht", 1, 3): {0: 100000}, - ("Yacht", 1, 4): {0: 100000}, - ("Yacht", 1, 5): {0: 100000}, - ("Yacht", 1, 6): {0: 100000}, - ("Yacht", 1, 7): {0: 100000}, - ("Yacht", 1, 8): {0: 100000}, - ("Yacht", 2, 0): {0: 100000}, - ("Yacht", 2, 1): {0: 100000}, - ("Yacht", 2, 2): {0: 100000}, - ("Yacht", 2, 3): {0: 100000}, - ("Yacht", 2, 4): {0: 100000}, - ("Yacht", 2, 5): {0: 100000}, - ("Yacht", 2, 6): {0: 100000}, - ("Yacht", 2, 7): {0: 100000}, - ("Yacht", 2, 8): {0: 100000}, - ("Yacht", 3, 0): {0: 100000}, - ("Yacht", 3, 1): {0: 100000}, - ("Yacht", 3, 2): {0: 100000}, - ("Yacht", 3, 3): {0: 100000}, - ("Yacht", 3, 4): {0: 100000}, - ("Yacht", 3, 5): {0: 100000}, - ("Yacht", 3, 6): {0: 100000}, - ("Yacht", 3, 7): {0: 100000}, - ("Yacht", 3, 8): {0: 100000}, - ("Yacht", 4, 0): {0: 100000}, - ("Yacht", 4, 1): {0: 100000}, - ("Yacht", 4, 2): {0: 100000}, - ("Yacht", 4, 3): {0: 100000}, - ("Yacht", 4, 4): {0: 100000}, - ("Yacht", 4, 5): {0: 100000}, - ("Yacht", 4, 6): {0: 100000}, - ("Yacht", 4, 7): {0: 100000}, - 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("Distincts", 2, 7): {2: 100000}, - ("Distincts", 2, 8): {2: 100000}, - ("Distincts", 3, 1): {2: 41714, 3: 55526, 1: 2760}, - ("Distincts", 3, 2): {2: 14936, 3: 84986, 1: 78}, - ("Distincts", 3, 3): {3: 95134, 2: 4865, 1: 1}, - ("Distincts", 3, 4): {3: 98341, 2: 1659}, - ("Distincts", 3, 5): {3: 99425, 2: 575}, - ("Distincts", 3, 6): {3: 99800, 2: 200}, - ("Distincts", 3, 7): {3: 99931, 2: 69}, - ("Distincts", 3, 8): {3: 99978, 2: 22}, - ("Distincts", 4, 1): {3: 55471, 2: 16140, 4: 27895, 1: 494}, - ("Distincts", 4, 2): {3: 36922, 4: 61185, 2: 1891, 1: 2}, - ("Distincts", 4, 3): {4: 80139, 3: 19631, 2: 230}, - ("Distincts", 4, 4): {4: 90121, 3: 9858, 2: 21}, - ("Distincts", 4, 5): {4: 95094, 3: 4904, 2: 2}, - ("Distincts", 4, 6): {4: 97506, 3: 2494}, - ("Distincts", 4, 7): {4: 98703, 3: 1297}, - ("Distincts", 4, 8): {4: 99389, 3: 611}, - ("Distincts", 5, 1): {4: 46379, 5: 9285, 3: 38538, 2: 5717, 1: 81}, - ("Distincts", 5, 2): {4: 56472, 5: 31685, 3: 11647, 2: 196}, - ("Distincts", 5, 3): {4: 44724, 5: 52254, 3: 3016, 2: 6}, - ("Distincts", 5, 4): {4: 31632, 5: 67646, 3: 722}, - ("Distincts", 5, 5): {5: 78394, 4: 21391, 3: 215}, - ("Distincts", 5, 6): {5: 85475, 4: 14470, 3: 55}, - ("Distincts", 5, 7): {5: 90340, 4: 9645, 3: 15}, - ("Distincts", 5, 8): {5: 93537, 4: 6461, 3: 2}, - ("Distincts", 6, 1): {3: 22985, 5: 23032, 4: 50464, 2: 2019, 6: 1492, 1: 8}, - ("Distincts", 6, 2): {5: 52573, 4: 35174, 6: 8954, 3: 3273, 2: 26}, - ("Distincts", 6, 3): {4: 17376, 5: 62578, 6: 19629, 3: 417}, - ("Distincts", 6, 4): {5: 61029, 6: 31140, 4: 7787, 3: 44}, - ("Distincts", 6, 5): {6: 41304, 5: 54997, 4: 3690, 3: 9}, - ("Distincts", 6, 6): {5: 47225, 6: 51218, 4: 1557}, - ("Distincts", 6, 7): {6: 58807, 5: 40465, 4: 728}, - ("Distincts", 6, 8): {6: 65828, 5: 33851, 4: 321}, - ("Distincts", 7, 1): {4: 44964, 5: 36020, 3: 13006, 6: 5345, 2: 661, 1: 4}, - ("Distincts", 7, 2): {5: 56731, 6: 23583, 4: 18847, 3: 838, 2: 1}, - ("Distincts", 7, 3): {5: 50312, 6: 43637, 4: 5983, 3: 68}, - ("Distincts", 7, 4): {6: 59811, 5: 38393, 4: 1792, 3: 4}, - ("Distincts", 7, 5): {5: 27728, 6: 71743, 4: 529}, - ("Distincts", 7, 6): {6: 80419, 5: 19417, 4: 164}, - ("Distincts", 7, 7): {6: 86382, 5: 13565, 4: 53}, - ("Distincts", 7, 8): {6: 90455, 5: 9531, 4: 14}, - ("Distincts", 8, 1): {5: 44977, 4: 36582, 6: 11304, 3: 6939, 2: 197, 1: 1}, - ("Distincts", 8, 2): {6: 39803, 5: 50783, 4: 9181, 3: 231, 2: 2}, - ("Distincts", 8, 3): {6: 63276, 5: 34748, 4: 1967, 3: 9}, - ("Distincts", 8, 4): {6: 78603, 5: 21008, 4: 389}, - ("Distincts", 8, 5): {6: 87408, 5: 12514, 4: 78}, - ("Distincts", 8, 6): {6: 92823, 5: 7159, 4: 18}, - ("Distincts", 8, 7): {6: 95821, 5: 4175, 4: 4}, - ("Distincts", 8, 8): {6: 97560, 5: 2440}, - ("TwosAndThrees", 1, 1): {0: 66466, 2: 16929, 3: 16605}, - ("TwosAndThrees", 1, 2): {0: 55640, 2: 13812, 3: 30548}, - ("TwosAndThrees", 1, 3): {3: 42178, 0: 46223, 2: 11599}, - ("TwosAndThrees", 1, 4): {3: 51830, 0: 38552, 2: 9618}, - ("TwosAndThrees", 1, 5): {0: 32320, 3: 59706, 2: 7974}, - ("TwosAndThrees", 1, 6): {0: 26733, 3: 66583, 2: 6684}, - ("TwosAndThrees", 1, 7): {3: 72148, 0: 22289, 2: 5563}, - ("TwosAndThrees", 1, 8): {3: 76636, 0: 18676, 2: 4688}, - ("TwosAndThrees", 2, 1): {3: 22335, 2: 21965, 0: 44565, 4: 2837, 5: 5615, 6: 2683}, - ("TwosAndThrees", 2, 2): {3: 33956, 0: 30855, 6: 9438, 2: 15480, 5: 8278, 4: 1993}, - ("TwosAndThrees", 2, 3): {0: 21509, 3: 38995, 6: 17586, 2: 10838, 5: 9727, 4: 1345}, - ("TwosAndThrees", 2, 4): {6: 26659, 3: 40188, 5: 9825, 2: 7489, 0: 14935, 4: 904}, - ("TwosAndThrees", 2, 5): {3: 38402, 6: 35581, 2: 5169, 5: 9671, 0: 10492, 4: 685}, - ("TwosAndThrees", 2, 6): {3: 35460, 6: 44295, 5: 8994, 0: 7185, 2: 3590, 4: 476}, - ("TwosAndThrees", 2, 7): {6: 52017, 3: 32147, 0: 4880, 5: 8139, 2: 2495, 4: 322}, - ("TwosAndThrees", 2, 8): {3: 28213, 5: 7294, 6: 59058, 0: 3464, 4: 223, 2: 1748}, - ("TwosAndThrees", 3, 1): {3: 22284, 0: 29892, 6: 6003, 4: 5497, 5: 11005, 2: 22136, 8: 1368, 7: 1366, 9: 449}, - ("TwosAndThrees", 3, 2): {5: 14092, 2: 12757, 3: 28287, 6: 15822, 0: 17285, 7: 1730, 4: 3213, 9: 2873, 8: 3941}, - ("TwosAndThrees", 3, 3): {6: 24863, 3: 27111, 9: 7340, 5: 13522, 8: 6154, 0: 9889, 4: 1847, 2: 7547, 7: 1727}, - ("TwosAndThrees", 3, 4): {9: 13765, 6: 31427, 5: 11617, 3: 23072, 8: 7719, 0: 5717, 4: 1000, 2: 4245, 7: 1438}, - ("TwosAndThrees", 3, 5): {5: 9296, 6: 34570, 0: 3347, 3: 18506, 4: 617, 9: 21395, 2: 2448, 8: 8683, 7: 1138}, - ("TwosAndThrees", 3, 6): {8: 8820, 3: 14399, 6: 35444, 5: 7148, 9: 29632, 0: 1821, 2: 1452, 7: 943, 4: 341}, - ("TwosAndThrees", 3, 7): {9: 37501, 3: 10672, 8: 8739, 6: 34879, 5: 5345, 7: 725, 2: 835, 4: 222, 0: 1082}, - ("TwosAndThrees", 3, 8): {6: 33047, 9: 45099, 3: 8099, 8: 8018, 5: 4003, 0: 667, 2: 457, 7: 490, 4: 120}, - ("TwosAndThrees", 4, 1): { - 3: 19811, - 9: 1565, - 2: 19764, - 0: 19619, - 6: 8721, - 5: 14893, - 4: 7306, - 8: 3801, - 11: 319, - 7: 3672, - 12: 60, - 10: 469, - }, - ("TwosAndThrees", 4, 2): { - 2: 9519, - 9: 6678, - 5: 15873, - 6: 18083, - 7: 3876, - 8: 8667, - 3: 20826, - 0: 9395, - 4: 3581, - 12: 830, - 10: 1077, - 11: 1595, - 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("ThreeDistinctDice", 7, 8): {20: 100000}, - ("ThreeDistinctDice", 8, 1): {20: 99757, 0: 243}, - ("ThreeDistinctDice", 8, 2): {20: 99999, 0: 1}, - ("ThreeDistinctDice", 8, 3): {20: 100000}, - ("ThreeDistinctDice", 8, 4): {20: 100000}, - ("ThreeDistinctDice", 8, 5): {20: 100000}, - ("ThreeDistinctDice", 8, 6): {20: 100000}, - ("ThreeDistinctDice", 8, 7): {20: 100000}, - ("ThreeDistinctDice", 8, 8): {20: 100000}, - ("TwoPair", 1, 1): {0: 100000}, - ("TwoPair", 1, 2): {0: 100000}, - ("TwoPair", 1, 3): {0: 100000}, - ("TwoPair", 1, 4): {0: 100000}, - ("TwoPair", 1, 5): {0: 100000}, - ("TwoPair", 1, 6): {0: 100000}, - ("TwoPair", 1, 7): {0: 100000}, - ("TwoPair", 1, 8): {0: 100000}, - ("TwoPair", 2, 1): {0: 100000}, - ("TwoPair", 2, 2): {0: 100000}, - ("TwoPair", 2, 3): {0: 100000}, - ("TwoPair", 2, 4): {0: 100000}, - ("TwoPair", 2, 5): {0: 100000}, - ("TwoPair", 2, 6): {0: 100000}, - ("TwoPair", 2, 7): {0: 100000}, - ("TwoPair", 2, 8): {0: 100000}, - ("TwoPair", 3, 1): {0: 100000}, - ("TwoPair", 3, 2): {0: 100000}, - ("TwoPair", 3, 3): {0: 100000}, - ("TwoPair", 3, 4): {0: 100000}, - ("TwoPair", 3, 5): {0: 100000}, - ("TwoPair", 3, 6): {0: 100000}, - ("TwoPair", 3, 7): {0: 100000}, - ("TwoPair", 3, 8): {0: 100000}, - ("TwoPair", 4, 1): {0: 93065, 30: 6935}, - ("TwoPair", 4, 2): {0: 82102, 30: 17898}, - ("TwoPair", 4, 3): {0: 71209, 30: 28791}, - ("TwoPair", 4, 4): {0: 61609, 30: 38391}, - ("TwoPair", 4, 5): {30: 46964, 0: 53036}, - ("TwoPair", 4, 6): {0: 45705, 30: 54295}, - ("TwoPair", 4, 7): {0: 39398, 30: 60602}, - ("TwoPair", 4, 8): {30: 66327, 0: 33673}, - ("TwoPair", 5, 1): {30: 27153, 0: 72847}, - ("TwoPair", 5, 2): {30: 53241, 0: 46759}, - ("TwoPair", 5, 3): {30: 70538, 0: 29462}, - ("TwoPair", 5, 4): {30: 81649, 0: 18351}, - ("TwoPair", 5, 5): {30: 88207, 0: 11793}, - ("TwoPair", 5, 6): {30: 92615, 0: 7385}, - ("TwoPair", 5, 7): {30: 95390, 0: 4610}, - ("TwoPair", 5, 8): {30: 97062, 0: 2938}, - ("TwoPair", 6, 1): {30: 55569, 0: 44431}, - ("TwoPair", 6, 2): {30: 82817, 0: 17183}, - ("TwoPair", 6, 3): {30: 93241, 0: 6759}, - ("TwoPair", 6, 4): {30: 97438, 0: 2562}, - ("TwoPair", 6, 5): {30: 99052, 0: 948}, - ("TwoPair", 6, 6): {30: 99625, 0: 375}, - ("TwoPair", 6, 7): {30: 99862, 0: 138}, - ("TwoPair", 6, 8): {30: 99943, 0: 57}, - ("TwoPair", 7, 1): {0: 19888, 30: 80112}, - ("TwoPair", 7, 2): {30: 96065, 0: 3935}, - ("TwoPair", 7, 3): {30: 99199, 0: 801}, - ("TwoPair", 7, 4): {30: 99825, 0: 175}, - ("TwoPair", 7, 5): {30: 99969, 0: 31}, - ("TwoPair", 7, 6): {30: 99993, 0: 7}, - ("TwoPair", 7, 7): {30: 99998, 0: 2}, - ("TwoPair", 7, 8): {30: 100000}, - ("TwoPair", 8, 1): {30: 93209, 0: 6791}, - ("TwoPair", 8, 2): {30: 99412, 0: 588}, - ("TwoPair", 8, 3): {30: 99939, 0: 61}, - ("TwoPair", 8, 4): {30: 99994, 0: 6}, - ("TwoPair", 8, 5): {30: 100000}, - ("TwoPair", 8, 6): {30: 100000}, - ("TwoPair", 8, 7): {30: 100000}, - ("TwoPair", 8, 8): {30: 100000}, - ("TwoOneTwoConsecutive", 1, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, - ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, - ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, - ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, - ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, - ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, - ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, - ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, - ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, - ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, - ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, - ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, - ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, - ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, - ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, - ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, - ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, - ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, - ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, - ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, - ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, - ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, - ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, - ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, - ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, - ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, - ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, - ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, - ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, - ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, - ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, - ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, - ("FiveDistinctDice", 1, 1): {0: 100000}, - ("FiveDistinctDice", 1, 2): {0: 100000}, - ("FiveDistinctDice", 1, 3): {0: 100000}, - ("FiveDistinctDice", 1, 4): {0: 100000}, - ("FiveDistinctDice", 1, 5): {0: 100000}, - ("FiveDistinctDice", 1, 6): {0: 100000}, - ("FiveDistinctDice", 1, 7): {0: 100000}, - ("FiveDistinctDice", 1, 8): {0: 100000}, - ("FiveDistinctDice", 2, 1): {0: 100000}, - ("FiveDistinctDice", 2, 2): {0: 100000}, - ("FiveDistinctDice", 2, 3): {0: 100000}, - ("FiveDistinctDice", 2, 4): {0: 100000}, - ("FiveDistinctDice", 2, 5): {0: 100000}, - ("FiveDistinctDice", 2, 6): {0: 100000}, - ("FiveDistinctDice", 2, 7): {0: 100000}, - ("FiveDistinctDice", 2, 8): {0: 100000}, - ("FiveDistinctDice", 3, 1): {0: 100000}, - ("FiveDistinctDice", 3, 2): {0: 100000}, - ("FiveDistinctDice", 3, 3): {0: 100000}, - ("FiveDistinctDice", 3, 4): {0: 100000}, - ("FiveDistinctDice", 3, 5): {0: 100000}, - ("FiveDistinctDice", 3, 6): {0: 100000}, - ("FiveDistinctDice", 3, 7): {0: 100000}, - ("FiveDistinctDice", 3, 8): {0: 100000}, - ("FiveDistinctDice", 4, 1): {0: 100000}, - ("FiveDistinctDice", 4, 2): {0: 100000}, - ("FiveDistinctDice", 4, 3): {0: 100000}, - ("FiveDistinctDice", 4, 4): {0: 100000}, - ("FiveDistinctDice", 4, 5): {0: 100000}, - ("FiveDistinctDice", 4, 6): {0: 100000}, - ("FiveDistinctDice", 4, 7): {0: 100000}, - ("FiveDistinctDice", 4, 8): {0: 100000}, - ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, - ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, - ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, - ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, - ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, - ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, - ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, - ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, - ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, - ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, - ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, - ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, - ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, - ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, - ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, - ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, - ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, - ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, - ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, - ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, - ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, - ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, - ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, - ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, - ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, - ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, - ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, - ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, - ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, - ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, - ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, - ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, - ("FourAndFiveFullHouse", 1, 1): {0: 100000}, - ("FourAndFiveFullHouse", 1, 2): {0: 100000}, - ("FourAndFiveFullHouse", 1, 3): {0: 100000}, - ("FourAndFiveFullHouse", 1, 4): {0: 100000}, - ("FourAndFiveFullHouse", 1, 5): {0: 100000}, - ("FourAndFiveFullHouse", 1, 6): {0: 100000}, - ("FourAndFiveFullHouse", 1, 7): {0: 100000}, - ("FourAndFiveFullHouse", 1, 8): {0: 100000}, - ("FourAndFiveFullHouse", 2, 1): {0: 100000}, - ("FourAndFiveFullHouse", 2, 2): {0: 100000}, - ("FourAndFiveFullHouse", 2, 3): {0: 100000}, - ("FourAndFiveFullHouse", 2, 4): {0: 100000}, - ("FourAndFiveFullHouse", 2, 5): {0: 100000}, - ("FourAndFiveFullHouse", 2, 6): {0: 100000}, - ("FourAndFiveFullHouse", 2, 7): {0: 100000}, - ("FourAndFiveFullHouse", 2, 8): {0: 100000}, - ("FourAndFiveFullHouse", 3, 1): {0: 100000}, - ("FourAndFiveFullHouse", 3, 2): {0: 100000}, - ("FourAndFiveFullHouse", 3, 3): {0: 100000}, - ("FourAndFiveFullHouse", 3, 4): {0: 100000}, - ("FourAndFiveFullHouse", 3, 5): {0: 100000}, - ("FourAndFiveFullHouse", 3, 6): {0: 100000}, - ("FourAndFiveFullHouse", 3, 7): {0: 100000}, - ("FourAndFiveFullHouse", 3, 8): {0: 100000}, - ("FourAndFiveFullHouse", 4, 1): {0: 100000}, - ("FourAndFiveFullHouse", 4, 2): {0: 100000}, - ("FourAndFiveFullHouse", 4, 3): {0: 100000}, - ("FourAndFiveFullHouse", 4, 4): {0: 100000}, - ("FourAndFiveFullHouse", 4, 5): {0: 100000}, - ("FourAndFiveFullHouse", 4, 6): {0: 100000}, - ("FourAndFiveFullHouse", 4, 7): {0: 100000}, - ("FourAndFiveFullHouse", 4, 8): {0: 100000}, - ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, - ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, - ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, - ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, - ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, - ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, - ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, - ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, - ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, - ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, - ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, - ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, - ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, - ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, - ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, - ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, - ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, - ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, - ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, - ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, - ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, - ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, - ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, - ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, - ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, - ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, - ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, - ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, - ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, - ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, - ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, - ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, -} - -import time - -def process_dictionary(input_dict): - # Sort the dictionary by keys - sorted_dict = dict(sorted(input_dict.items())) - keep = sorted_dict - - added_to_keys = {} # Dictionary to keep track of keys and their addition counts - # Function to process the dictionary - def process_dict(d): - keys = list(d.keys()) - modified = False - - a = mean_value(input_dict) - b = mean_value(sorted_dict) - - if abs(a-b) < 1: - for i in range(len(keys) - 1): - key1, key2 = keys[i], keys[i + 1] - val1, val2 = d[key1], d[key2] - - # if added_to_keys.get(key1, 0) < 3 or added_to_keys.get(key2, 0) < 3: - # continue # Skip if either key has already been added to 3 times - - if val1 < val2 and val1 * (key2 - key1) < 1000 and (len(keys) > 3 or i > 0): - d[key2] += val1 - added_to_keys[key2] = added_to_keys.get(key2, 0) + 1 # Mark key2 as added to - del d[key1] - modified = True - break - elif val2 <= val1 and val2 * (key2 - key1) < 30000 and i < len(keys) - 2: - d[key1] += val2 - added_to_keys[key1] = added_to_keys.get(key1, 0) + 1 # Mark key1 as added to - del d[key2] - modified = True - break - - return d, modified - - - modified = True - while modified: - sorted_dict, modified = process_dict(sorted_dict) - - # Check if the sum of all values is 100000 - total_sum = sum(sorted_dict.values()) - if total_sum != 100000: - raise ValueError(f"The total sum of values is {total_sum}, which does not equal 100000.") - if input_dict != sorted_dict: - a = mean_value(input_dict) - b = mean_value(sorted_dict) - if abs(a-b) > 2: - print(f"{dict(sorted(input_dict.items()))} -> {sorted_dict}\n {mean_value(input_dict)} {mean_value(sorted_dict)}\n\n") - - return sorted_dict - -def mean_value(dictt): - summ = 0 - for key, value in dictt.items(): - summ += key * value - return summ/100000 - - -def combine_rounded_keys(yacht_weights): - new_yacht_weights = {} - for main_key, sub_dict in yacht_weights.items(): - new_yacht_weights[main_key] = process_dictionary(sub_dict) - return new_yacht_weights - - -yacht_weights = combine_rounded_keys(yacht_weights) \ No newline at end of file From 1789824e7cc8a97a90aa8771079b025e507615c1 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 01:42:10 +0200 Subject: [PATCH 087/127] ruff :dog: --- worlds/yachtdice/Locations.py | 7 +++---- worlds/yachtdice/YachtWeights.py | 2 -- 2 files changed, 3 insertions(+), 6 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 147e0d50a206..0e1679edaefc 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -21,7 +21,6 @@ def __init__(self, player: int, name: str, score: int, address: typing.Optional[ starting_index = 16871244500 # 500 more than the starting index for items (not necessary, but this is what it is now) - def all_locations_fun(max_score): """ Function that is called when this file is loaded, which loads in ALL possible locations, score 1 to 1000 @@ -29,7 +28,6 @@ def all_locations_fun(max_score): return {f"{i} score": LocData(starting_index + i, "Board", i) for i in range(1, max_score + 1)} - def ini_locations(goal_score, max_score, number_of_locations, dif): """ function that loads in all locations necessary for the game, so based on options. @@ -51,7 +49,7 @@ def ini_locations(goal_score, max_score, number_of_locations, dif): highest_score = 0 for i in range(number_of_locations - 1): percentage = i / number_of_locations - current_score = int(1 + (percentage ** scaling) * (max_score - 2)) + current_score = int(1 + (percentage**scaling) * (max_score - 2)) if current_score <= highest_score: current_score = highest_score + 1 highest_score = current_score @@ -69,5 +67,6 @@ def ini_locations(goal_score, max_score, number_of_locations, dif): return location_table, scores.index(goal_score) + # we need to run this function to initialize all scores from 1 to 1000, even though not all are used -all_locations = all_locations_fun(1000) \ No newline at end of file +all_locations = all_locations_fun(1000) diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index ee3378c05597..3b788d5c880b 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -7904,5 +7904,3 @@ ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, } - - From 9290191cb323ae92321d6c2cfcfe8c27370f439b Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 01:42:58 +0200 Subject: [PATCH 088/127] Use numpy and pmf function to speed up gen Numpy has a built-in way to sum probability mass functions (pmf). This shaves of 60% of the generation time :D --- worlds/yachtdice/Rules.py | 89 ++++++++++++++++++++++++--------------- 1 file changed, 56 insertions(+), 33 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 69f6a4bd67ca..5836e81f9115 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -7,6 +7,7 @@ from worlds.generic.Rules import set_rule from .YachtWeights import yacht_weights +import numpy as np # This module adds logic to the apworld. @@ -69,8 +70,6 @@ def mean_score(self, num_dice, num_rolls): return mean_score * self.quantity - - class ListState: def __init__(self, state: List[str]): self.state = state @@ -99,19 +98,25 @@ def extract_progression(state, player, options): ) number_of_fixed_mults = state.count("Fixed Score Multiplier", player) number_of_step_mults = state.count("Step Score Multiplier", player) - + categories = [ Category(category_value, state.count(category_name, player)) for category_name, category_value in category_mappings.items() if state.count(category_name, player) # want all categories that have count >= 1 - ] - + ] + extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - return categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic, - + return ( + categories, + number_of_dice, + number_of_rerolls, + number_of_fixed_mults * 0.1, + number_of_step_mults * 0.01, + extra_points_in_logic, + ) # We will store the results of this function as it is called often for the same parameters. @@ -140,18 +145,44 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu # sort categories because for the step multiplier, you will want low-scoring categories first categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) - # function to add two discrete distribution. - # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) - def add_distributions(dist1, dist2): - combined_dist = defaultdict(float) - for val1, prob1 in dist1.items(): - for val2, prob2 in dist2.items(): - combined_dist[val1 + val2] += prob1 * prob2 - return dict(combined_dist) - - # function to take the maximum of "times" i.i.d. dist1. - # (I have tried using defaultdict here too but this made it slower.) + # we have two ways to store a distribution (example, 0 with probability 0.4, 10 with probability 0.6): + # dict: {0: 0.4, 10: 0.6} + # pmf (probability mass function): [0.4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6] (numpy array) + # adding two distributions works fast with pmf's and numpy's convolve method. + # maximizing two distributions (with multipliers) seems to work fastest with dictionaries. + + def dict_to_pmf(dist): + """ + Convert dict-distribution to pmf-distribution + """ + max_value = max(dist) + 1 + return np.array([dist.get(i, 0) for i in range(max_value)]) + + def pmf_to_dict(pmf): + """ + Convert pmf-distribution to dict-distribution + """ + sum_values = np.arange(0, len(pmf) + 1) + sum_dist = {v: p for v, p in zip(sum_values, pmf)} + return sum_dist + + def add_distributions(pmf1, dic2): + """ + function to add two discrete distributions. The first in pmf form, the second in dict form, returns pmf. + """ + pmf2 = dict_to_pmf(dic2) + + # Sum the two distributions using convolution + sum_pmf = np.convolve(pmf1, pmf2) + + return sum_pmf + def max_dist(dist1, mults): + """ + function to take the maximum of "times" i.i.d. dist1. + dist1 is a dict-distribution + (I have tried using defaultdict here too but this made it slower.) + """ new_dist = {0: 1} for mult in mults: c = new_dist.copy() @@ -171,16 +202,10 @@ def max_dist(dist1, mults): # Returns percentile value of a distribution. def percentile_distribution(dist, percentile): - sorted_values = sorted(dist.keys()) - cumulative_prob = 0 - - for val in sorted_values: - cumulative_prob += dist[val] - if cumulative_prob >= percentile: - return val + cumdist = np.cumsum(dist) # Return the last value if percentile is higher than all probabilities - return sorted_values[-1] + return np.argmax(cumdist > percentile) # parameters for logic. # perc_return is, per difficulty, the percentages of total score it returns (it averages out the values) @@ -188,8 +213,8 @@ def percentile_distribution(dist, percentile): perc_return = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] diff_divide = [0, 9, 7, 3, 2][diff] - # calculate total distribution - total_dist = {0: 1} + # calculate total distribution, start in pmf-form + total_dist = [1] for j, category in enumerate(categories): if num_dice == 0 or num_rolls == 0: dist = {0: 100000} @@ -208,12 +233,12 @@ def percentile_distribution(dist, percentile): total_dist = add_distributions(total_dist, dist) - # save result into the cache, then return it + # note, total_dist is in pmf-form outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) + # save result into the cache, then return it yachtdice_cache[tup] = max(5, math.floor(outcome)) # at least 5. - - return yachtdice_cache[tup] + return yachtdice_cache[tup] def dice_simulation(state, player, options): @@ -243,7 +268,6 @@ def dice_simulation(state, player, options): return state.prog_items[player]["maximum_achievable_score"] - def set_yacht_rules(world: MultiWorld, player: int, options): """ Sets rules on entrances and advancements that are always applied @@ -262,4 +286,3 @@ def set_yacht_completion_rules(world: MultiWorld, player: int): Sets rules on completion condition """ world.completion_condition[player] = lambda state: state.has("Victory", player) - \ No newline at end of file From 5e8a2199cb34a0e026c9fda83adcd6b9acca7054 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 19:15:06 +0200 Subject: [PATCH 089/127] Revert "Use numpy and pmf function to speed up gen" This reverts commit 9290191cb323ae92321d6c2cfcfe8c27370f439b. --- worlds/yachtdice/Rules.py | 89 +++++++++++++++------------------------ 1 file changed, 33 insertions(+), 56 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 5836e81f9115..69f6a4bd67ca 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -7,7 +7,6 @@ from worlds.generic.Rules import set_rule from .YachtWeights import yacht_weights -import numpy as np # This module adds logic to the apworld. @@ -70,6 +69,8 @@ def mean_score(self, num_dice, num_rolls): return mean_score * self.quantity + + class ListState: def __init__(self, state: List[str]): self.state = state @@ -98,25 +99,19 @@ def extract_progression(state, player, options): ) number_of_fixed_mults = state.count("Fixed Score Multiplier", player) number_of_step_mults = state.count("Step Score Multiplier", player) - + categories = [ Category(category_value, state.count(category_name, player)) for category_name, category_value in category_mappings.items() if state.count(category_name, player) # want all categories that have count >= 1 - ] - + ] + extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - return ( - categories, - number_of_dice, - number_of_rerolls, - number_of_fixed_mults * 0.1, - number_of_step_mults * 0.01, - extra_points_in_logic, - ) + return categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic, + # We will store the results of this function as it is called often for the same parameters. @@ -145,44 +140,18 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu # sort categories because for the step multiplier, you will want low-scoring categories first categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) - # we have two ways to store a distribution (example, 0 with probability 0.4, 10 with probability 0.6): - # dict: {0: 0.4, 10: 0.6} - # pmf (probability mass function): [0.4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.6] (numpy array) - # adding two distributions works fast with pmf's and numpy's convolve method. - # maximizing two distributions (with multipliers) seems to work fastest with dictionaries. - - def dict_to_pmf(dist): - """ - Convert dict-distribution to pmf-distribution - """ - max_value = max(dist) + 1 - return np.array([dist.get(i, 0) for i in range(max_value)]) - - def pmf_to_dict(pmf): - """ - Convert pmf-distribution to dict-distribution - """ - sum_values = np.arange(0, len(pmf) + 1) - sum_dist = {v: p for v, p in zip(sum_values, pmf)} - return sum_dist - - def add_distributions(pmf1, dic2): - """ - function to add two discrete distributions. The first in pmf form, the second in dict form, returns pmf. - """ - pmf2 = dict_to_pmf(dic2) - - # Sum the two distributions using convolution - sum_pmf = np.convolve(pmf1, pmf2) - - return sum_pmf - + # function to add two discrete distribution. + # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) + def add_distributions(dist1, dist2): + combined_dist = defaultdict(float) + for val1, prob1 in dist1.items(): + for val2, prob2 in dist2.items(): + combined_dist[val1 + val2] += prob1 * prob2 + return dict(combined_dist) + + # function to take the maximum of "times" i.i.d. dist1. + # (I have tried using defaultdict here too but this made it slower.) def max_dist(dist1, mults): - """ - function to take the maximum of "times" i.i.d. dist1. - dist1 is a dict-distribution - (I have tried using defaultdict here too but this made it slower.) - """ new_dist = {0: 1} for mult in mults: c = new_dist.copy() @@ -202,10 +171,16 @@ def max_dist(dist1, mults): # Returns percentile value of a distribution. def percentile_distribution(dist, percentile): - cumdist = np.cumsum(dist) + sorted_values = sorted(dist.keys()) + cumulative_prob = 0 + + for val in sorted_values: + cumulative_prob += dist[val] + if cumulative_prob >= percentile: + return val # Return the last value if percentile is higher than all probabilities - return np.argmax(cumdist > percentile) + return sorted_values[-1] # parameters for logic. # perc_return is, per difficulty, the percentages of total score it returns (it averages out the values) @@ -213,8 +188,8 @@ def percentile_distribution(dist, percentile): perc_return = [[0], [0.1, 0.5], [0.3, 0.7], [0.55, 0.85], [0.85, 0.95]][diff] diff_divide = [0, 9, 7, 3, 2][diff] - # calculate total distribution, start in pmf-form - total_dist = [1] + # calculate total distribution + total_dist = {0: 1} for j, category in enumerate(categories): if num_dice == 0 or num_rolls == 0: dist = {0: 100000} @@ -233,14 +208,14 @@ def percentile_distribution(dist, percentile): total_dist = add_distributions(total_dist, dist) - # note, total_dist is in pmf-form - outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) # save result into the cache, then return it + outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) yachtdice_cache[tup] = max(5, math.floor(outcome)) # at least 5. - + return yachtdice_cache[tup] + def dice_simulation(state, player, options): """ Returns the feasible score that one can reach with the current state, options and difficulty. @@ -268,6 +243,7 @@ def dice_simulation(state, player, options): return state.prog_items[player]["maximum_achievable_score"] + def set_yacht_rules(world: MultiWorld, player: int, options): """ Sets rules on entrances and advancements that are always applied @@ -286,3 +262,4 @@ def set_yacht_completion_rules(world: MultiWorld, player: int): Sets rules on completion condition """ world.completion_condition[player] = lambda state: state.has("Victory", player) + \ No newline at end of file From 5ce9194915d3b280e5cbd2282bd473bf2f46dff6 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 20:07:49 +0200 Subject: [PATCH 090/127] Step inbetween to change the weights --- worlds/yachtdice/YachtWeights.py | 30 ++++++++++++++++++++++++++++++ worlds/yachtdice/weightsNN.txt | 1 + 2 files changed, 31 insertions(+) create mode 100644 worlds/yachtdice/weightsNN.txt diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 3b788d5c880b..b70acd4e615a 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -7904,3 +7904,33 @@ ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, } + +import time +total_changed = 0 +for key, value_dict in yacht_weights.items(): + per_cat_changed = 0 + # Sort the dictionary by key + sorted_items = sorted(value_dict.items()) + sorted_keys = [item[0] for item in sorted_items] + sorted_values = [item[1] for item in sorted_items] + leng = len(sorted_values) + + changed = False + for i in range(leng - 1, 0, -1): + #sorted_keys[i-1]: sorted_values[i-1] + #sorted_keys[i] : sorted_values[i] + if sorted_values[i] * (sorted_keys[i] - sorted_keys[i-1]) < 6500: + total_changed += sorted_values[i] * (sorted_keys[i] - sorted_keys[i-1]) + per_cat_changed += sorted_values[i] * (sorted_keys[i] - sorted_keys[i-1]) + sorted_values[i-1] += sorted_values[i] + del sorted_keys[i] + del sorted_values[i] + changed = True + + leng = len(sorted_values) + yacht_weights[key] = {sorted_keys[i]: sorted_values[i] for i in range(leng)} + if per_cat_changed > 100000: + print(f"{key}: {per_cat_changed}") +print(total_changed) +with open('weightsNN.txt', 'w') as weightFile: + weightFile.write(str(yacht_weights)) \ No newline at end of file diff --git a/worlds/yachtdice/weightsNN.txt b/worlds/yachtdice/weightsNN.txt new file mode 100644 index 000000000000..493f65de1cca --- /dev/null +++ b/worlds/yachtdice/weightsNN.txt @@ -0,0 +1 @@ +{('Ones', 0, 0): {0: 100000}, ('Ones', 0, 1): {0: 100000}, ('Ones', 0, 2): {0: 100000}, ('Ones', 0, 3): {0: 100000}, ('Ones', 0, 4): {0: 100000}, ('Ones', 0, 5): {0: 100000}, ('Ones', 0, 6): {0: 100000}, ('Ones', 0, 7): {0: 100000}, ('Ones', 0, 8): {0: 100000}, ('Ones', 1, 0): {0: 100000}, ('Ones', 1, 1): {0: 83416, 1: 16584}, ('Ones', 1, 2): {0: 69346, 1: 30654}, ('Ones', 1, 3): {0: 57756, 1: 42244}, ('Ones', 1, 4): {0: 48709, 1: 51291}, ('Ones', 1, 5): {0: 40214, 1: 59786}, ('Ones', 1, 6): {0: 33491, 1: 66509}, ('Ones', 1, 7): {0: 27838, 1: 72162}, ('Ones', 1, 8): {0: 23094, 1: 76906}, ('Ones', 2, 0): {0: 100000}, ('Ones', 2, 1): {0: 69715, 1: 30285}, ('Ones', 2, 2): {0: 48066, 1: 42669, 2: 9265}, ('Ones', 2, 3): {0: 33544, 1: 48585, 2: 17871}, ('Ones', 2, 4): {0: 23342, 1: 50092, 2: 26566}, ('Ones', 2, 5): {0: 16036, 1: 48250, 2: 35714}, ('Ones', 2, 6): {0: 11355, 1: 44545, 2: 44100}, ('Ones', 2, 7): {0: 7812, 1: 40248, 2: 51940}, ('Ones', 2, 8): {0: 5395, 1: 35484, 2: 59121}, ('Ones', 3, 0): {0: 100000}, ('Ones', 3, 1): {0: 57462, 1: 35151, 2: 7387}, ('Ones', 3, 2): {0: 33327, 1: 44253, 2: 22420}, ('Ones', 3, 3): {0: 19432, 1: 42237, 2: 30821, 3: 7510}, ('Ones', 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ('Ones', 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, ('Ones', 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, ('Ones', 3, 7): {0: 2134, 1: 16717, 2: 43782, 3: 37367}, ('Ones', 3, 8): {0: 1280, 1: 12567, 2: 40951, 3: 45202}, ('Ones', 4, 0): {0: 100000}, ('Ones', 4, 1): {0: 48178, 1: 38635, 2: 13187}, ('Ones', 4, 2): {0: 23349, 1: 40775, 2: 26967, 3: 8909}, ('Ones', 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, ('Ones', 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 26943, 4: 7214}, ('Ones', 4, 5): {0: 2640, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, ('Ones', 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, ('Ones', 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, ('Ones', 4, 8): {0: 4228, 2: 19045, 3: 42267, 4: 34460}, ('Ones', 5, 0): {0: 100000}, ('Ones', 5, 1): {0: 40042, 1: 40202, 2: 19756}, ('Ones', 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, ('Ones', 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 24952, 4: 10435}, ('Ones', 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, ('Ones', 5, 5): {0: 1079, 1: 7704, 2: 23245, 3: 34614, 4: 25625, 5: 7733}, ('Ones', 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, ('Ones', 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, ('Ones', 5, 8): {0: 1167, 2: 7382, 3: 24639, 4: 40166, 5: 26646}, ('Ones', 6, 0): {0: 100000}, ('Ones', 6, 1): {0: 33501, 1: 40042, 2: 26457}, ('Ones', 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 19350, 4: 7577}, ('Ones', 6, 3): {0: 3764, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, ('Ones', 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, ('Ones', 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, ('Ones', 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, ('Ones', 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, ('Ones', 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, ('Ones', 7, 0): {0: 100000}, ('Ones', 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, ('Ones', 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, ('Ones', 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, ('Ones', 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 17986, 6: 7490}, ('Ones', 7, 5): {0: 1947, 2: 7907, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, ('Ones', 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, ('Ones', 7, 7): {0: 2032, 3: 7943, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, ('Ones', 7, 8): {0: 5519, 4: 15425, 5: 30293, 6: 33357, 7: 15406}, ('Ones', 8, 0): {0: 100000}, ('Ones', 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, ('Ones', 8, 2): {0: 5472, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, ('Ones', 8, 3): {0: 1209, 1: 7452, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, ('Ones', 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, ('Ones', 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, ('Ones', 8, 6): {0: 1971, 3: 6901, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, ('Ones', 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 22673, 8: 7330}, ('Ones', 8, 8): {0: 2078, 4: 7029, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, ('Twos', 0, 0): {0: 100000}, ('Twos', 0, 1): {0: 100000}, ('Twos', 0, 2): {0: 100000}, ('Twos', 0, 3): {0: 100000}, ('Twos', 0, 4): {0: 100000}, ('Twos', 0, 5): {0: 100000}, ('Twos', 0, 6): {0: 100000}, ('Twos', 0, 7): {0: 100000}, ('Twos', 0, 8): {0: 100000}, ('Twos', 1, 0): {0: 100000}, ('Twos', 1, 1): {0: 83475, 2: 16525}, ('Twos', 1, 2): {0: 69690, 2: 30310}, ('Twos', 1, 3): {0: 57818, 2: 42182}, ('Twos', 1, 4): {0: 48418, 2: 51582}, ('Twos', 1, 5): {0: 40301, 2: 59699}, ('Twos', 1, 6): {0: 33558, 2: 66442}, ('Twos', 1, 7): {0: 28182, 2: 71818}, 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{0: 23289, 2: 40678, 4: 27102, 6: 8931}, ('Twos', 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, ('Twos', 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, ('Twos', 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, ('Twos', 4, 6): {0: 1259, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, ('Twos', 4, 7): {0: 622, 2: 6323, 4: 24103, 6: 41894, 8: 27058}, ('Twos', 4, 8): {0: 278, 2: 3813, 4: 18855, 6: 42309, 8: 34745}, ('Twos', 5, 0): {0: 100000}, ('Twos', 5, 1): {0: 40028, 2: 40241, 4: 16003, 6: 3728}, ('Twos', 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 13797, 8: 3269}, ('Twos', 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, ('Twos', 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 17149, 10: 3748}, ('Twos', 5, 5): {0: 1032, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, ('Twos', 5, 6): {0: 450, 2: 4152, 4: 16541, 6: 32774, 8: 32900, 10: 13183}, ('Twos', 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, ('Twos', 5, 8): {0: 1171, 4: 7571, 6: 23993, 8: 40798, 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6: 21959, 8: 8667, 9: 10180}, ('TwosAndThrees', 4, 3): {0: 4538, 2: 4676, 3: 18292, 5: 12541, 6: 26350, 8: 11445, 9: 15471, 11: 6687}, ('TwosAndThrees', 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 21496, 10: 6859, 12: 7183}, ('TwosAndThrees', 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 29121, 11: 6926, 12: 12776}, ('TwosAndThrees', 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 32849, 11: 7894, 12: 19495}, ('TwosAndThrees', 4, 7): {0: 224, 2: 6086, 6: 16140, 8: 7881, 9: 34297, 11: 8601, 12: 26771}, ('TwosAndThrees', 4, 8): {0: 123, 2: 3571, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, ('TwosAndThrees', 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, ('TwosAndThrees', 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, ('TwosAndThrees', 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, ('TwosAndThrees', 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 15422, 14: 7246}, ('TwosAndThrees', 5, 5): {0: 781, 3: 6624, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 20783, 13: 6512, 15: 7632}, ('TwosAndThrees', 5, 6): {0: 123, 2: 3622, 6: 9065, 8: 6610, 9: 22902, 11: 10593, 12: 27521, 14: 6551, 15: 13013}, ('TwosAndThrees', 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 31332, 14: 7512, 15: 19396}, ('TwosAndThrees', 5, 8): {0: 986, 6: 6740, 9: 16186, 11: 7771, 12: 33474, 14: 7963, 15: 26880}, ('TwosAndThrees', 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 13500, 10: 7359}, ('TwosAndThrees', 6, 2): {0: 2944, 2: 4382, 3: 12512, 5: 11978, 6: 20178, 8: 13344, 9: 16448, 11: 7676, 12: 10538}, ('TwosAndThrees', 6, 3): {0: 977, 2: 7869, 5: 6758, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, ('TwosAndThrees', 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, ('TwosAndThrees', 6, 5): {0: 1610, 5: 7206, 7: 6521, 9: 16495, 11: 10563, 12: 23042, 14: 10049, 15: 16281, 17: 8233}, ('TwosAndThrees', 6, 6): {0: 1362, 6: 7145, 9: 12670, 11: 8492, 12: 23467, 14: 10649, 15: 21066, 16: 6581, 18: 8568}, ('TwosAndThrees', 6, 7): {0: 14, 2: 4631, 9: 8281, 10: 6929, 12: 21906, 14: 10107, 15: 27360, 17: 6654, 18: 14118}, ('TwosAndThrees', 6, 8): {0: 2367, 9: 10679, 12: 18916, 14: 8991, 15: 31012, 17: 7602, 18: 20433}, ('TwosAndThrees', 7, 1): {0: 5802, 2: 10380, 3: 10100, 4: 7689, 5: 15384, 6: 11027, 7: 9559, 8: 10304, 9: 11306, 11: 8449}, ('TwosAndThrees', 7, 2): {0: 4415, 3: 8457, 5: 9442, 6: 17093, 8: 13172, 9: 18066, 11: 9919, 12: 10454, 14: 8982}, ('TwosAndThrees', 7, 3): {0: 1263, 3: 7779, 6: 10929, 8: 10013, 9: 18045, 11: 12133, 12: 16767, 14: 8279, 15: 6674, 16: 8118}, ('TwosAndThrees', 7, 4): {0: 1713, 5: 6723, 7: 7190, 9: 14001, 11: 11007, 12: 19307, 14: 10700, 15: 12396, 16: 8577, 18: 8386}, ('TwosAndThrees', 7, 5): {0: 621, 5: 6879, 9: 9808, 11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, ('TwosAndThrees', 7, 6): {0: 9, 2: 3545, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, ('TwosAndThrees', 7, 7): {0: 1582, 9: 6971, 12: 11911, 14: 7969, 15: 22333, 17: 10123, 18: 22122, 19: 6876, 21: 10113}, ('TwosAndThrees', 7, 8): {0: 31, 5: 4682, 12: 7854, 13: 6592, 15: 20934, 17: 9621, 18: 27839, 20: 6667, 21: 15780}, ('TwosAndThrees', 8, 1): {0: 3799, 2: 7917, 3: 7840, 4: 6794, 5: 13610, 6: 10144, 7: 10309, 8: 11477, 9: 7504, 10: 11990, 12: 8616}, ('TwosAndThrees', 8, 2): {0: 902, 2: 7460, 5: 6900, 6: 13750, 8: 11961, 9: 10605, 10: 7327, 11: 11041, 12: 8197, 13: 11532, 15: 10325}, ('TwosAndThrees', 8, 3): {0: 201, 2: 5037, 6: 7036, 8: 7389, 9: 14414, 11: 11338, 12: 17189, 14: 10523, 15: 8898, 16: 9521, 18: 8454}, ('TwosAndThrees', 8, 4): {0: 1617, 6: 6867, 9: 9271, 11: 8286, 12: 16078, 14: 11359, 15: 17352, 17: 9133, 18: 10960, 20: 9077}, ('TwosAndThrees', 8, 5): {0: 16, 2: 3585, 9: 10269, 12: 12458, 14: 9578, 15: 18439, 17: 10743, 18: 16800, 20: 6621, 21: 11491}, ('TwosAndThrees', 8, 6): {0: 170, 6: 6891, 12: 8548, 14: 7037, 15: 16817, 17: 10618, 18: 20331, 20: 8749, 21: 13840, 23: 6999}, ('TwosAndThrees', 8, 7): {0: 1, 2: 3335, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 24071, 24: 7305}, ('TwosAndThrees', 8, 8): {3: 795, 11: 6938, 15: 10708, 17: 7289, 18: 21517, 20: 10020, 21: 23586, 22: 7035, 24: 12112}, ('SumOfOdds', 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, ('SumOfOdds', 1, 2): {0: 33472, 1: 11017, 3: 27886, 5: 27625}, ('SumOfOdds', 1, 3): {0: 27892, 1: 9293, 3: 23006, 5: 39809}, ('SumOfOdds', 1, 4): {0: 23060, 1: 7857, 3: 19299, 5: 49784}, ('SumOfOdds', 1, 5): {0: 19333, 1: 6559, 3: 15941, 5: 58167}, ('SumOfOdds', 1, 6): {0: 21678, 3: 13224, 5: 65098}, ('SumOfOdds', 1, 7): {0: 17840, 3: 11191, 5: 70969}, ('SumOfOdds', 1, 8): {0: 14690, 3: 9361, 5: 75949}, ('SumOfOdds', 2, 1): {0: 24611, 1: 19615, 3: 22234, 5: 16856, 6: 8312, 8: 8372}, ('SumOfOdds', 2, 2): {0: 11216, 1: 8605, 3: 24576, 5: 18558, 6: 13858, 8: 15414, 10: 7773}, ('SumOfOdds', 2, 3): {0: 13730, 3: 17055, 5: 22224, 6: 12709, 8: 18363, 10: 15919}, ('SumOfOdds', 2, 4): {0: 9599, 3: 11842, 5: 23132, 6: 11358, 8: 19129, 10: 24940}, ('SumOfOdds', 2, 5): {0: 6652, 3: 8296, 5: 22529, 6: 10020, 8: 18712, 10: 33791}, ('SumOfOdds', 2, 6): {0: 2606, 1: 7798, 5: 20970, 6: 8852, 8: 17272, 10: 42502}, ('SumOfOdds', 2, 7): {0: 7262, 5: 19160, 6: 7664, 8: 15860, 10: 50054}, ('SumOfOdds', 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618}, ('SumOfOdds', 3, 1): {0: 12467, 1: 16736, 3: 12861, 4: 8109, 5: 13902, 6: 15350, 8: 11660, 10: 8915}, ('SumOfOdds', 3, 2): {0: 8635, 3: 15579, 5: 10240, 6: 17409, 8: 15592, 9: 7284, 10: 7709, 11: 9070, 13: 8482}, ('SumOfOdds', 3, 3): {0: 5022, 3: 9030, 5: 9729, 6: 13308, 8: 21631, 10: 13273, 11: 10759, 13: 11044, 15: 6204}, ('SumOfOdds', 3, 4): {0: 1265, 1: 6995, 5: 8380, 6: 9575, 8: 18530, 10: 17343, 11: 11288, 13: 14216, 15: 12408}, ('SumOfOdds', 3, 5): {0: 4685, 5: 6682, 6: 7181, 8: 14915, 10: 19378, 11: 10985, 13: 16370, 15: 19804}, ('SumOfOdds', 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 20496, 11: 10472, 13: 17133, 15: 27548}, ('SumOfOdds', 3, 7): {0: 1481, 5: 7510, 8: 8659, 10: 20125, 11: 9495, 13: 16763, 15: 35967}, ('SumOfOdds', 3, 8): {0: 5934, 7: 6737, 10: 19242, 11: 8430, 13: 16221, 15: 43436}, ('SumOfOdds', 4, 1): {0: 6192, 1: 12678, 3: 9225, 4: 8433, 5: 11215, 6: 18550, 8: 15591, 10: 10624, 12: 7492}, ('SumOfOdds', 4, 2): {0: 1267, 1: 6707, 4: 9562, 6: 14395, 8: 11060, 9: 9721, 10: 7201, 11: 15953, 13: 8342, 14: 8226, 16: 7566}, ('SumOfOdds', 4, 3): {0: 1778, 3: 8154, 6: 8780, 8: 9018, 9: 7238, 10: 8843, 11: 15464, 13: 18030, 15: 7108, 16: 7373, 18: 8214}, ('SumOfOdds', 4, 4): {0: 2774, 5: 7977, 8: 11182, 10: 8758, 11: 13239, 13: 19483, 15: 11453, 16: 9426, 18: 9512, 20: 6196}, ('SumOfOdds', 4, 5): {0: 6619, 8: 7280, 10: 8159, 11: 10515, 13: 17578, 15: 15171, 16: 10401, 18: 12704, 20: 11573}, ('SumOfOdds', 4, 6): {0: 1748, 6: 6729, 10: 7130, 11: 8103, 13: 15290, 15: 17784, 16: 10571, 18: 14865, 20: 17780}, ('SumOfOdds', 4, 7): {0: 5048, 10: 11824, 13: 12343, 15: 19254, 16: 10290, 18: 15947, 20: 25294}, ('SumOfOdds', 4, 8): {0: 3060, 10: 8747, 13: 9912, 15: 19503, 16: 9512, 18: 16250, 20: 33016}, ('SumOfOdds', 5, 1): {0: 8257, 2: 9820, 4: 7062, 5: 8737, 6: 11185, 7: 7013, 8: 8879, 9: 14795, 11: 7319, 12: 7825, 14: 9108}, ('SumOfOdds', 5, 2): {0: 1599, 3: 7043, 6: 9517, 8: 6951, 9: 14666, 11: 10285, 12: 6880, 13: 8344, 14: 13337, 16: 7538, 17: 7051, 19: 6789}, ('SumOfOdds', 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 13: 9355, 14: 8325, 15: 6633, 16: 13969, 18: 12915, 20: 7968, 23: 3939}, ('SumOfOdds', 5, 4): {0: 246, 3: 6652, 9: 6971, 11: 9124, 13: 8276, 14: 6799, 15: 8218, 16: 13970, 18: 16440, 20: 7264, 21: 7049, 23: 8991}, ('SumOfOdds', 5, 5): {0: 4997, 10: 9128, 13: 11376, 15: 8283, 16: 12576, 18: 17548, 20: 11138, 21: 8982, 23: 9242, 25: 6730}, ('SumOfOdds', 5, 6): {0: 1746, 9: 6811, 13: 8013, 15: 7862, 16: 10647, 18: 16866, 20: 14372, 21: 9884, 23: 11945, 25: 11854}, ('SumOfOdds', 5, 7): {0: 2634, 11: 8007, 15: 6797, 16: 8325, 18: 14878, 20: 17146, 21: 10043, 23: 14100, 25: 18070}, ('SumOfOdds', 5, 8): {0: 95, 6: 6529, 15: 12097, 18: 12454, 20: 18491, 21: 9907, 23: 15254, 25: 25173}, ('SumOfOdds', 6, 1): {0: 7410, 3: 9799, 5: 6613, 6: 9118, 7: 7139, 8: 8145, 9: 8689, 10: 7075, 11: 8130, 12: 10756, 14: 7910, 16: 9216}, ('SumOfOdds', 6, 2): {0: 153, 1: 6753, 7: 6763, 9: 10513, 11: 7613, 12: 6840, 13: 7405, 14: 15279, 16: 8370, 17: 11320, 19: 8667, 21: 10324}, ('SumOfOdds', 6, 3): {0: 1606, 6: 7336, 10: 7969, 12: 10094, 14: 13221, 16: 14647, 18: 7891, 19: 12673, 21: 7711, 22: 7652, 24: 9200}, ('SumOfOdds', 6, 4): {0: 5771, 11: 9419, 14: 9943, 16: 12296, 18: 8483, 19: 7579, 20: 6653, 21: 12847, 23: 12798, 25: 9237, 28: 4974}, ('SumOfOdds', 6, 5): {0: 1626, 10: 6554, 14: 6940, 16: 9081, 18: 13910, 20: 7845, 21: 13179, 23: 15752, 25: 7754, 26: 7087, 28: 6388, 30: 3884}, ('SumOfOdds', 6, 6): {0: 5968, 15: 8985, 18: 10935, 20: 7981, 21: 12052, 23: 16882, 25: 11411, 26: 8543, 28: 9447, 30: 7796}, ('SumOfOdds', 6, 7): {0: 2314, 14: 7046, 18: 7891, 20: 7612, 21: 10285, 23: 16141, 25: 14467, 26: 9526, 28: 12043, 30: 12675}, ('SumOfOdds', 6, 8): {0: 2954, 16: 7951, 20: 6522, 21: 8203, 23: 14396, 25: 16723, 26: 10048, 28: 13964, 30: 19239}, ('SumOfOdds', 7, 1): {0: 7118, 4: 8884, 6: 6784, 7: 6543, 8: 7190, 9: 8090, 10: 7566, 11: 8138, 12: 12835, 14: 10729, 16: 7321, 18: 8802}, ('SumOfOdds', 7, 2): {0: 3167, 7: 7213, 10: 8389, 12: 11166, 14: 13742, 16: 7542, 17: 13594, 19: 7499, 20: 10496, 22: 7447, 24: 9745}, ('SumOfOdds', 7, 3): {0: 5630, 11: 9052, 14: 9360, 16: 12256, 18: 6591, 19: 13562, 21: 7920, 22: 11341, 24: 9551, 26: 7162, 28: 7575}, ('SumOfOdds', 7, 4): {0: 2220, 11: 7265, 15: 7277, 17: 8988, 19: 11926, 21: 13334, 23: 7672, 24: 12685, 26: 10835, 28: 9199, 30: 8599}, ('SumOfOdds', 7, 5): {0: 5935, 16: 8874, 19: 9145, 21: 11223, 23: 7919, 24: 7133, 25: 7033, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('SumOfOdds', 7, 6): {2: 5799, 18: 8867, 21: 8424, 23: 12902, 25: 7570, 26: 12513, 28: 15893, 30: 8537, 31: 7294, 33: 7232, 35: 4969}, ('SumOfOdds', 7, 7): {4: 6004, 20: 8618, 23: 10174, 25: 7651, 26: 11473, 28: 16014, 30: 11962, 31: 8823, 33: 10174, 35: 9107}, ('SumOfOdds', 7, 8): {0: 1, 6: 2365, 19: 6646, 23: 7527, 25: 7288, 26: 9647, 28: 15608, 30: 14871, 31: 9462, 33: 12445, 35: 14140}, ('SumOfOdds', 8, 1): {0: 378, 1: 6791, 5: 8633, 7: 11129, 9: 7107, 10: 6937, 11: 7580, 12: 7278, 13: 6521, 14: 12474, 16: 9800, 18: 6552, 20: 8820}, ('SumOfOdds', 8, 2): {0: 797, 6: 6948, 11: 6794, 13: 9599, 15: 11601, 17: 13076, 19: 7293, 20: 12487, 22: 10815, 24: 11552, 27: 9038}, ('SumOfOdds', 8, 3): {0: 2561, 11: 7695, 15: 7099, 17: 9139, 19: 11547, 21: 6969, 22: 12519, 24: 7157, 25: 11327, 27: 8869, 29: 6641, 31: 8477}, ('SumOfOdds', 8, 4): {1: 2741, 14: 7296, 18: 7355, 20: 9629, 22: 10789, 24: 12431, 26: 7943, 27: 11603, 29: 10400, 31: 12399, 34: 7414}, ('SumOfOdds', 8, 5): {1: 3, 3: 6210, 19: 8804, 22: 8054, 24: 10449, 26: 12536, 28: 7567, 29: 12781, 31: 11341, 33: 10541, 35: 7462, 38: 4252}, ('SumOfOdds', 8, 6): {4: 5763, 21: 7702, 24: 8128, 26: 10005, 28: 7465, 29: 6546, 30: 7060, 31: 12383, 33: 14068, 35: 12408, 38: 8472}, ('SumOfOdds', 8, 7): {6: 5301, 23: 8027, 26: 7391, 28: 11956, 30: 7550, 31: 12181, 33: 15650, 35: 9851, 36: 7726, 38: 8073, 40: 6294}, ('SumOfOdds', 8, 8): {4: 1, 8: 5554, 25: 7637, 28: 9115, 30: 7469, 31: 10714, 33: 16060, 35: 12876, 36: 8889, 38: 10622, 40: 11063}, ('SumOfEvens', 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, ('SumOfEvens', 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, ('SumOfEvens', 1, 3): {0: 22259, 2: 7317, 4: 35040, 6: 35384}, ('SumOfEvens', 1, 4): {0: 18511, 2: 6233, 4: 29418, 6: 45838}, ('SumOfEvens', 1, 5): {0: 15428, 2: 5146, 4: 24510, 6: 54916}, ('SumOfEvens', 1, 6): {0: 12927, 2: 4255, 4: 20115, 6: 62703}, ('SumOfEvens', 1, 7): {0: 10650, 2: 3502, 4: 17087, 6: 68761}, ('SumOfEvens', 1, 8): {0: 11920, 4: 14227, 6: 73853}, ('SumOfEvens', 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 8: 8263, 10: 8438}, ('SumOfEvens', 2, 2): {0: 11179, 2: 7503, 4: 19661, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, ('SumOfEvens', 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, ('SumOfEvens', 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, ('SumOfEvens', 2, 5): {0: 3991, 4: 7910, 6: 19247, 8: 11641, 10: 26842, 12: 30369}, ('SumOfEvens', 2, 6): {0: 2741, 4: 5313, 6: 17810, 8: 9468, 10: 25582, 12: 39086}, ('SumOfEvens', 2, 7): {0: 1905, 4: 3790, 6: 15965, 8: 7645, 10: 23307, 12: 47388}, ('SumOfEvens', 2, 8): {0: 3950, 6: 14006, 8: 6462, 10: 20879, 12: 54703}, ('SumOfEvens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 12: 7524, 14: 4668}, ('SumOfEvens', 3, 2): {0: 3666, 2: 3738, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 14: 8937, 16: 8548}, ('SumOfEvens', 3, 3): {0: 2176, 4: 5572, 6: 8576, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 12864, 18: 4316}, ('SumOfEvens', 3, 4): {0: 642, 2: 3914, 6: 6844, 8: 8218, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('SumOfEvens', 3, 5): {0: 2575, 6: 5105, 8: 5720, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, ('SumOfEvens', 3, 6): {0: 1475, 6: 3732, 8: 3796, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, ('SumOfEvens', 3, 7): {0: 862, 6: 5321, 10: 8145, 12: 18146, 14: 10985, 16: 24254, 18: 32287}, ('SumOfEvens', 3, 8): {0: 494, 6: 3730, 10: 5777, 12: 16926, 14: 9402, 16: 23114, 18: 40557}, ('SumOfEvens', 4, 1): {0: 6214, 2: 8516, 4: 12405, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 14: 6828, 16: 4295, 18: 3369}, ('SumOfEvens', 4, 2): {0: 2868, 4: 4894, 6: 8468, 8: 10702, 10: 15154, 12: 15715, 14: 14104, 16: 12485, 18: 8084, 20: 7526}, ('SumOfEvens', 4, 3): {0: 573, 4: 4781, 8: 5715, 10: 10269, 12: 12879, 14: 16224, 16: 17484, 18: 13847, 20: 10518, 22: 7710}, ('SumOfEvens', 4, 4): {0: 1119, 6: 5124, 10: 7096, 12: 10298, 14: 12763, 16: 17947, 18: 16566, 20: 13338, 22: 11215, 24: 4534}, ('SumOfEvens', 4, 5): {0: 136, 4: 3341, 10: 4716, 12: 8022, 14: 9638, 16: 16546, 18: 18045, 20: 14172, 22: 16111, 24: 9273}, ('SumOfEvens', 4, 6): {0: 991, 8: 4039, 12: 6097, 14: 7068, 16: 14021, 18: 18805, 20: 13848, 22: 20013, 24: 15118}, ('SumOfEvens', 4, 7): {0: 2931, 12: 4654, 14: 4930, 16: 11590, 18: 18952, 20: 12601, 22: 21947, 24: 22395}, ('SumOfEvens', 4, 8): {0: 1798, 12: 3395, 14: 3386, 16: 8943, 18: 18203, 20: 11505, 22: 23056, 24: 29714}, ('SumOfEvens', 5, 1): {0: 3192, 2: 5181, 4: 8648, 6: 13373, 8: 13964, 10: 14656, 12: 13468, 14: 10245, 16: 7574, 18: 4873, 20: 4826}, ('SumOfEvens', 5, 2): {0: 3217, 6: 4054, 8: 6336, 10: 9910, 12: 12184, 14: 13824, 16: 14674, 18: 12124, 20: 9742, 22: 6877, 24: 7058}, ('SumOfEvens', 5, 3): {0: 650, 6: 3254, 10: 4446, 12: 6558, 14: 10339, 16: 13128, 18: 14686, 20: 15282, 22: 13294, 24: 9361, 26: 9002}, ('SumOfEvens', 5, 4): {0: 736, 8: 3332, 12: 4093, 14: 6555, 16: 10437, 18: 12724, 20: 14710, 22: 16005, 24: 12896, 26: 9761, 28: 8751}, ('SumOfEvens', 5, 5): {0: 814, 10: 3928, 14: 4006, 16: 7635, 18: 10297, 20: 12344, 22: 16826, 24: 15490, 26: 12235, 28: 11323, 30: 5102}, ('SumOfEvens', 5, 6): {0: 1045, 12: 3999, 16: 5274, 18: 8224, 20: 9688, 22: 16041, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, ('SumOfEvens', 5, 7): {0: 2951, 16: 3465, 18: 6367, 20: 7478, 22: 13863, 24: 18114, 26: 13349, 28: 19048, 30: 15365}, ('SumOfEvens', 5, 8): {0: 249, 12: 3505, 18: 4912, 20: 5406, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, ('SumOfEvens', 6, 1): {0: 4767, 4: 5715, 6: 9535, 8: 11527, 10: 13220, 12: 13855, 14: 12217, 16: 10036, 18: 7641, 20: 5155, 22: 6332}, ('SumOfEvens', 6, 2): {0: 3379, 8: 3286, 10: 5781, 12: 8107, 14: 10495, 16: 12112, 18: 12962, 20: 12458, 22: 10842, 24: 8362, 26: 5714, 28: 6502}, ('SumOfEvens', 6, 3): {0: 1230, 10: 4741, 14: 5066, 16: 7714, 18: 10098, 20: 12628, 22: 13809, 24: 13594, 26: 11930, 28: 8967, 30: 5778, 32: 4445}, ('SumOfEvens', 6, 4): {0: 1235, 12: 4092, 16: 4678, 18: 6764, 20: 9551, 22: 12530, 24: 13471, 26: 13991, 28: 12906, 30: 9662, 32: 6534, 34: 4586}, ('SumOfEvens', 6, 5): {0: 1241, 14: 4118, 18: 4392, 20: 6604, 22: 9916, 24: 11810, 26: 13874, 28: 15232, 30: 12927, 32: 9788, 34: 10098}, ('SumOfEvens', 6, 6): {0: 1224, 16: 4254, 20: 4214, 22: 7418, 24: 9870, 26: 11838, 28: 15982, 30: 15534, 32: 12014, 34: 11679, 36: 5973}, ('SumOfEvens', 6, 7): {4: 1437, 18: 4249, 22: 5154, 24: 8221, 26: 9426, 28: 15301, 30: 17083, 32: 13001, 34: 15604, 36: 10524}, ('SumOfEvens', 6, 8): {4: 3207, 22: 3449, 24: 6361, 26: 7209, 28: 13662, 30: 18101, 32: 12842, 34: 18840, 36: 16329}, ('SumOfEvens', 7, 1): {0: 2584, 4: 3653, 6: 6451, 8: 8939, 10: 11183, 12: 12690, 14: 12463, 16: 11578, 18: 9725, 20: 7614, 22: 5306, 24: 3564, 26: 4250}, ('SumOfEvens', 7, 2): {0: 1433, 8: 4651, 12: 4933, 14: 7121, 16: 9103, 18: 10694, 20: 11747, 22: 12101, 24: 10947, 26: 9407, 28: 7140, 30: 4969, 32: 5754}, ('SumOfEvens', 7, 3): {0: 957, 12: 3394, 16: 3620, 18: 5753, 20: 8013, 22: 10305, 24: 12043, 26: 13153, 28: 12644, 30: 10884, 32: 8457, 34: 5494, 36: 5283}, ('SumOfEvens', 7, 4): {0: 1762, 16: 4828, 20: 4695, 22: 6948, 24: 9234, 26: 11605, 28: 12907, 30: 13018, 32: 11907, 34: 10022, 36: 6630, 38: 6444}, ('SumOfEvens', 7, 5): {4: 1630, 18: 4069, 22: 4347, 24: 6303, 26: 8816, 28: 11561, 30: 12713, 32: 13273, 34: 13412, 36: 10366, 38: 7212, 40: 6298}, ('SumOfEvens', 7, 6): {4: 1436, 20: 4042, 24: 4176, 26: 6057, 28: 9389, 30: 11291, 32: 12798, 34: 15385, 36: 13346, 38: 10011, 40: 8464, 42: 3605}, ('SumOfEvens', 7, 7): {6: 1304, 22: 4182, 26: 3913, 28: 7007, 30: 9525, 32: 11106, 34: 15613, 36: 15702, 38: 12021, 40: 12478, 42: 7149}, ('SumOfEvens', 7, 8): {10: 1490, 24: 4104, 28: 5058, 30: 7669, 32: 9076, 34: 14812, 36: 16970, 38: 12599, 40: 16137, 42: 12085}, ('SumOfEvens', 8, 1): {0: 373, 2: 3336, 6: 4344, 8: 6532, 10: 8598, 12: 10648, 14: 11696, 16: 11862, 18: 11145, 20: 9463, 22: 7414, 24: 5501, 26: 3771, 28: 5317}, ('SumOfEvens', 8, 2): {0: 1361, 10: 4297, 14: 4098, 16: 6135, 18: 7865, 20: 9772, 22: 10922, 24: 11148, 26: 10879, 28: 9711, 30: 8043, 32: 6058, 34: 4215, 36: 5496}, ('SumOfEvens', 8, 3): {2: 1601, 16: 4246, 20: 4428, 22: 6221, 24: 8306, 26: 10158, 28: 11561, 30: 12249, 32: 11747, 34: 10070, 36: 7860, 38: 5627, 40: 5926}, ('SumOfEvens', 8, 4): {0: 558, 16: 3763, 22: 3304, 24: 4882, 26: 6864, 28: 9047, 30: 10811, 32: 12344, 34: 12243, 36: 11307, 38: 9623, 40: 7009, 42: 4569, 44: 3676}, ('SumOfEvens', 8, 5): {4: 1798, 22: 4366, 26: 4229, 28: 6229, 30: 8178, 32: 10485, 34: 12180, 36: 12458, 38: 12260, 40: 10958, 42: 7933, 44: 5192, 46: 3734}, ('SumOfEvens', 8, 6): {6: 1453, 24: 3831, 28: 3916, 30: 5727, 32: 7846, 34: 10367, 36: 12064, 38: 12862, 40: 13920, 42: 11359, 44: 8361, 46: 8294}, ('SumOfEvens', 8, 7): {8: 1424, 26: 3618, 30: 3778, 32: 5303, 34: 8619, 36: 10651, 38: 12089, 40: 14999, 42: 13899, 44: 10574, 46: 10004, 48: 5042}, ('SumOfEvens', 8, 8): {10: 1226, 28: 3779, 32: 3565, 34: 6358, 36: 8996, 38: 10354, 40: 14996, 42: 16214, 44: 11803, 46: 13670, 48: 9039}, ('DoubleThreesAndFours', 1, 1): {0: 66749, 6: 16591, 8: 16660}, ('DoubleThreesAndFours', 1, 2): {0: 44675, 6: 27694, 8: 27631}, ('DoubleThreesAndFours', 1, 3): {0: 29592, 6: 35261, 8: 35147}, ('DoubleThreesAndFours', 1, 4): {0: 24601, 6: 29406, 8: 45993}, ('DoubleThreesAndFours', 1, 5): {0: 20499, 6: 24420, 8: 55081}, ('DoubleThreesAndFours', 1, 6): {0: 17116, 6: 20227, 8: 62657}, ('DoubleThreesAndFours', 1, 7): {0: 14193, 6: 17060, 8: 68747}, ('DoubleThreesAndFours', 1, 8): {0: 11977, 6: 13924, 8: 74099}, ('DoubleThreesAndFours', 2, 1): {0: 44382, 6: 22191, 8: 22251, 12: 2892, 14: 8284}, ('DoubleThreesAndFours', 2, 2): {0: 19720, 6: 24652, 8: 24891, 12: 7693, 14: 15403, 16: 7641}, ('DoubleThreesAndFours', 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376}, ('DoubleThreesAndFours', 2, 4): {0: 6164, 6: 14466, 8: 22828, 12: 8471, 14: 26935, 16: 21136}, ('DoubleThreesAndFours', 2, 5): {0: 4307, 6: 10005, 8: 22620, 12: 6057, 14: 26822, 16: 30189}, ('DoubleThreesAndFours', 2, 6): {0: 2879, 6: 7047, 8: 21466, 12: 4204, 14: 25326, 16: 39078}, ('DoubleThreesAndFours', 2, 7): {0: 2042, 6: 4637, 8: 19698, 12: 2846, 14: 23404, 16: 47373}, ('DoubleThreesAndFours', 2, 8): {0: 1385, 6: 3373, 8: 17795, 12: 1998, 14: 20907, 16: 54542}, ('DoubleThreesAndFours', 3, 1): {0: 29378, 6: 22335, 8: 22138, 12: 5551, 14: 11232, 16: 6113, 20: 3253}, ('DoubleThreesAndFours', 3, 2): {0: 8894, 6: 16518, 8: 16277, 12: 10334, 14: 20757, 16: 12265, 20: 6399, 22: 8556}, ('DoubleThreesAndFours', 3, 3): {0: 2643, 6: 9270, 8: 9252, 12: 11066, 14: 21922, 16: 11045, 18: 4335, 20: 12900, 22: 13101, 24: 4466}, ('DoubleThreesAndFours', 3, 4): {0: 1523, 6: 5443, 8: 8330, 12: 6223, 14: 20310, 16: 18276, 20: 11695, 22: 18521, 24: 9679}, ('DoubleThreesAndFours', 3, 5): {0: 845, 6: 3180, 8: 7038, 12: 3700, 14: 16545, 16: 20293, 20: 9740, 22: 22168, 24: 16491}, ('DoubleThreesAndFours', 3, 6): {0: 499, 6: 1774, 8: 5456, 12: 2033, 14: 12995, 16: 20914, 20: 7959, 22: 23876, 24: 24494}, ('DoubleThreesAndFours', 3, 7): {0: 1298, 8: 5434, 14: 9997, 16: 20598, 20: 5970, 22: 24010, 24: 32693}, ('DoubleThreesAndFours', 3, 8): {0: 776, 8: 3765, 14: 7514, 16: 19905, 20: 4456, 22: 23158, 24: 40426}, ('DoubleThreesAndFours', 4, 1): {0: 19809, 6: 19538, 8: 19765, 12: 7513, 14: 14835, 16: 8616, 20: 3787, 22: 6137}, ('DoubleThreesAndFours', 4, 2): {0: 3972, 6: 9759, 8: 9681, 12: 9152, 14: 18494, 16: 9182, 18: 3796, 20: 11442, 22: 11245, 24: 6728, 28: 6549}, ('DoubleThreesAndFours', 4, 3): {0: 745, 6: 3580, 8: 3629, 12: 6446, 14: 12957, 16: 6563, 18: 5181, 20: 15371, 22: 15441, 24: 6812, 26: 6250, 28: 9263, 30: 7762}, ('DoubleThreesAndFours', 4, 4): {0: 371, 6: 4491, 12: 3063, 14: 10057, 16: 10176, 20: 11583, 22: 18508, 24: 10280, 26: 4741, 28: 10883, 30: 11372, 32: 4475}, ('DoubleThreesAndFours', 4, 5): {0: 990, 8: 3424, 14: 6844, 16: 8952, 20: 8048, 22: 18097, 24: 17306, 28: 10930, 30: 16244, 32: 9165}, ('DoubleThreesAndFours', 4, 6): {0: 79, 6: 2446, 14: 4451, 16: 7542, 20: 5399, 22: 16364, 24: 18861, 28: 9736, 30: 19782, 32: 15340}, ('DoubleThreesAndFours', 4, 7): {0: 1042, 12: 3256, 16: 5909, 20: 3378, 22: 13634, 24: 20162, 28: 8204, 30: 22055, 32: 22360}, ('DoubleThreesAndFours', 4, 8): {0: 572, 12: 1938, 16: 6901, 22: 10960, 24: 20269, 28: 6551, 30: 22891, 32: 29918}, ('DoubleThreesAndFours', 5, 1): {0: 13122, 6: 16411, 8: 16451, 12: 8304, 14: 16464, 16: 10392, 20: 6145, 22: 6092, 24: 3317, 28: 3302}, ('DoubleThreesAndFours', 5, 2): {0: 1676, 6: 5469, 8: 5318, 12: 6656, 14: 13562, 16: 6786, 18: 4316, 20: 12668, 22: 12832, 24: 5636, 26: 5358, 28: 7847, 30: 7543, 34: 4333}, ('DoubleThreesAndFours', 5, 3): {0: 223, 6: 2722, 12: 3259, 14: 6384, 16: 3268, 18: 3897, 20: 11385, 22: 11613, 24: 6096, 26: 9086, 28: 13665, 30: 9486, 32: 4914, 34: 5404, 36: 5338, 38: 3260}, ('DoubleThreesAndFours', 5, 4): {0: 95, 6: 2712, 14: 4130, 16: 4732, 20: 7322, 22: 11374, 24: 6778, 26: 5595, 28: 13488, 30: 14319, 32: 7169, 34: 5245, 36: 8341, 38: 8700}, ('DoubleThreesAndFours', 5, 5): {0: 38, 6: 1295, 14: 5458, 20: 4128, 22: 9485, 24: 7483, 26: 3289, 28: 11201, 30: 16810, 32: 10248, 34: 4446, 36: 9980, 38: 11129, 40: 5010}, ('DoubleThreesAndFours', 5, 6): {0: 16, 6: 1848, 16: 4506, 22: 7062, 24: 9151, 28: 8349, 30: 17020, 32: 13519, 34: 3326, 36: 10243, 38: 15569, 40: 9391}, ('DoubleThreesAndFours', 5, 7): {0: 246, 14: 3372, 22: 4805, 24: 7632, 28: 5843, 30: 15652, 32: 18636, 36: 9333, 38: 19248, 40: 15233}, ('DoubleThreesAndFours', 5, 8): {0: 2, 6: 1477, 20: 3860, 24: 6181, 28: 3938, 30: 13694, 32: 19681, 36: 8113, 38: 21064, 40: 21990}, ('DoubleThreesAndFours', 6, 1): {0: 8738, 6: 13463, 8: 12988, 12: 8147, 14: 16506, 16: 11068, 20: 8158, 22: 11463, 26: 5157, 30: 4312}, ('DoubleThreesAndFours', 6, 2): {0: 784, 6: 5735, 12: 4564, 14: 8843, 16: 4479, 18: 3691, 20: 11349, 22: 11356, 24: 5588, 26: 6877, 28: 10790, 30: 7553, 32: 3974, 34: 4398, 36: 4501, 38: 5518}, ('DoubleThreesAndFours', 6, 3): {0: 1062, 12: 4317, 16: 3679, 20: 6930, 22: 6770, 24: 4357, 26: 8000, 28: 12114, 30: 9057, 32: 6825, 34: 9548, 36: 9738, 38: 6065, 40: 3765, 42: 3710, 44: 4063}, ('DoubleThreesAndFours', 6, 4): {0: 930, 14: 3333, 20: 3603, 22: 5673, 24: 3611, 26: 4164, 28: 10039, 30: 10836, 32: 6720, 34: 7926, 36: 12511, 38: 10194, 40: 5366, 42: 4836, 44: 5640, 46: 4618}, ('DoubleThreesAndFours', 6, 5): {0: 310, 14: 3647, 22: 3827, 24: 5198, 28: 6985, 30: 10494, 32: 7047, 34: 5449, 36: 12190, 38: 14163, 40: 7833, 42: 4738, 44: 8161, 46: 9958}, ('DoubleThreesAndFours', 6, 6): {0: 446, 16: 3780, 24: 3522, 28: 4300, 30: 8697, 32: 7204, 34: 3427, 36: 10342, 38: 16439, 40: 10795, 42: 4008, 44: 9477, 46: 11631, 48: 5932}, ('DoubleThreesAndFours', 6, 7): {0: 31, 12: 2221, 24: 5004, 30: 6708, 32: 9035, 36: 8028, 38: 16374, 40: 17005, 44: 9660, 46: 15581, 48: 10353}, ('DoubleThreesAndFours', 6, 8): {8: 388, 22: 3728, 30: 4988, 32: 7571, 36: 5846, 38: 15017, 40: 18347, 44: 9045, 46: 18638, 48: 16432}, ('DoubleThreesAndFours', 7, 1): {0: 5803, 6: 10242, 8: 10404, 12: 7634, 14: 15252, 16: 10934, 20: 9418, 22: 9715, 24: 7193, 28: 4897, 30: 4679, 34: 3829}, ('DoubleThreesAndFours', 7, 2): {0: 357, 6: 2962, 12: 2776, 14: 5631, 16: 5713, 20: 8788, 22: 8736, 24: 4687, 26: 7287, 28: 11132, 30: 7900, 32: 5286, 34: 6959, 36: 7000, 38: 4228, 40: 5800, 44: 4758}, ('DoubleThreesAndFours', 7, 3): {0: 361, 12: 3523, 20: 3613, 22: 5983, 26: 5630, 28: 8269, 30: 6641, 32: 6333, 34: 10088, 36: 10081, 38: 7494, 40: 6987, 42: 7821, 44: 6306, 46: 6547, 50: 4323}, ('DoubleThreesAndFours', 7, 4): {0: 5, 6: 1510, 20: 3966, 24: 4114, 28: 5838, 30: 6379, 32: 4601, 34: 6715, 36: 10741, 38: 9398, 40: 6630, 42: 8597, 44: 10218, 46: 7244, 48: 4033, 50: 3948, 52: 6063}, ('DoubleThreesAndFours', 7, 5): {0: 6, 6: 1267, 22: 3498, 28: 3284, 30: 5190, 32: 3707, 34: 3996, 36: 8930, 38: 10182, 40: 6767, 42: 6888, 44: 11990, 46: 11137, 48: 5993, 50: 4653, 52: 6259, 54: 6253}, ('DoubleThreesAndFours', 7, 6): {8: 499, 22: 3606, 30: 3572, 32: 5084, 36: 6292, 38: 9755, 40: 7116, 42: 5017, 44: 11451, 46: 14027, 48: 8688, 50: 4510, 52: 8339, 54: 8347, 56: 3697}, ('DoubleThreesAndFours', 7, 7): {6: 982, 26: 3267, 32: 3304, 36: 4015, 38: 8195, 40: 10376, 44: 9719, 46: 15829, 48: 11561, 50: 3831, 52: 9257, 54: 12409, 56: 7255}, ('DoubleThreesAndFours', 7, 8): {8: 42, 20: 2293, 32: 4653, 38: 6452, 40: 8616, 44: 7554, 46: 15616, 48: 17057, 52: 9418, 54: 16183, 56: 12116}, ('DoubleThreesAndFours', 8, 1): {0: 3982, 6: 7946, 8: 7712, 12: 6731, 14: 13657, 16: 6920, 18: 3314, 20: 10167, 22: 10162, 24: 4614, 26: 4302, 28: 6414, 30: 4504, 32: 4254, 36: 5321}, ('DoubleThreesAndFours', 8, 2): {0: 161, 6: 1484, 12: 1685, 14: 3393, 16: 3713, 20: 6475, 22: 6445, 24: 3639, 26: 6631, 28: 9769, 30: 7306, 32: 5644, 34: 8035, 36: 8364, 38: 5473, 40: 4617, 42: 5074, 44: 4004, 46: 4236, 50: 3852}, ('DoubleThreesAndFours', 8, 3): {0: 6, 6: 1665, 20: 4622, 26: 3379, 28: 4918, 30: 4044, 32: 4752, 34: 8086, 36: 8106, 38: 6904, 40: 7729, 42: 9356, 44: 8078, 46: 5989, 48: 6119, 50: 5725, 52: 6500, 56: 4022}, ('DoubleThreesAndFours', 8, 4): {0: 36, 12: 2795, 26: 4033, 30: 5709, 34: 4515, 36: 7211, 38: 6651, 40: 5753, 42: 8437, 44: 10354, 46: 8005, 48: 6657, 50: 7755, 52: 7763, 54: 4862, 56: 5973, 60: 3491}, ('DoubleThreesAndFours', 8, 5): {6: 1614, 28: 3410, 32: 3723, 36: 4863, 38: 5795, 40: 4470, 42: 5705, 44: 9760, 46: 9599, 48: 6812, 50: 7637, 52: 10531, 54: 8556, 56: 4701, 58: 4174, 60: 4703, 62: 3947}, ('DoubleThreesAndFours', 8, 6): {0: 119, 22: 3428, 34: 3815, 38: 4423, 40: 3520, 42: 3493, 44: 7896, 46: 9936, 48: 6877, 50: 6139, 52: 11631, 54: 12058, 56: 6986, 58: 4472, 60: 6904, 62: 8303}, ('DoubleThreesAndFours', 8, 7): {6: 2, 12: 2204, 36: 4638, 40: 4682, 44: 5588, 46: 9100, 48: 7192, 50: 4302, 52: 10602, 54: 14541, 56: 9724, 58: 4125, 60: 8403, 62: 9808, 64: 5089}, ('DoubleThreesAndFours', 8, 8): {8: 5, 20: 1769, 38: 5145, 44: 3621, 46: 7646, 48: 9806, 52: 8871, 54: 15467, 56: 12383, 58: 3339, 60: 9206, 62: 13539, 64: 9203}, ('QuadrupleOnesAndTwos', 1, 1): {0: 66567, 4: 16803, 8: 16630}, ('QuadrupleOnesAndTwos', 1, 2): {0: 44809, 4: 27448, 8: 27743}, ('QuadrupleOnesAndTwos', 1, 3): {0: 37100, 4: 23184, 8: 39716}, ('QuadrupleOnesAndTwos', 1, 4): {0: 30963, 4: 19221, 8: 49816}, ('QuadrupleOnesAndTwos', 1, 5): {0: 25316, 4: 16079, 8: 58605}, ('QuadrupleOnesAndTwos', 1, 6): {0: 21505, 4: 13237, 8: 65258}, ('QuadrupleOnesAndTwos', 1, 7): {0: 17676, 4: 11100, 8: 71224}, ('QuadrupleOnesAndTwos', 1, 8): {0: 14971, 4: 9323, 8: 75706}, ('QuadrupleOnesAndTwos', 2, 1): {0: 44566, 4: 22273, 8: 24842, 12: 5485, 16: 2834}, ('QuadrupleOnesAndTwos', 2, 2): {0: 19963, 4: 24890, 8: 32262, 12: 15172, 16: 7713}, ('QuadrupleOnesAndTwos', 2, 3): {0: 13766, 4: 17158, 8: 34907, 12: 18539, 16: 15630}, ('QuadrupleOnesAndTwos', 2, 4): {0: 9543, 4: 11981, 8: 34465, 12: 19108, 16: 24903}, ('QuadrupleOnesAndTwos', 2, 5): {0: 6472, 4: 8302, 8: 32470, 12: 18612, 16: 34144}, ('QuadrupleOnesAndTwos', 2, 6): {0: 4569, 4: 5737, 8: 29716, 12: 17216, 16: 42762}, ('QuadrupleOnesAndTwos', 2, 7): {0: 3146, 4: 3974, 8: 26489, 12: 15756, 16: 50635}, ('QuadrupleOnesAndTwos', 2, 8): {0: 2265, 4: 2724, 8: 23578, 12: 14167, 16: 57266}, ('QuadrupleOnesAndTwos', 3, 1): {0: 29440, 4: 22574, 8: 27747, 12: 11557, 16: 6892, 20: 1790}, ('QuadrupleOnesAndTwos', 3, 2): {0: 8857, 4: 16295, 8: 26434, 12: 22986, 16: 16799, 20: 6481, 24: 2148}, ('QuadrupleOnesAndTwos', 3, 3): {0: 5063, 4: 9447, 8: 22255, 12: 21685, 16: 24084, 20: 11167, 24: 6299}, ('QuadrupleOnesAndTwos', 3, 4): {0: 2864, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 24: 12448}, ('QuadrupleOnesAndTwos', 3, 5): {0: 1676, 4: 3219, 8: 13478, 12: 14755, 16: 30427, 20: 16602, 24: 19843}, ('QuadrupleOnesAndTwos', 3, 6): {0: 923, 4: 1758, 8: 10259, 12: 11326, 16: 31125, 20: 16984, 24: 27625}, ('QuadrupleOnesAndTwos', 3, 7): {0: 1688, 8: 7543, 12: 8769, 16: 29367, 20: 17085, 24: 35548}, ('QuadrupleOnesAndTwos', 3, 8): {0: 941, 8: 5277, 12: 6388, 16: 27741, 20: 16170, 24: 43483}, ('QuadrupleOnesAndTwos', 4, 1): {0: 19691, 4: 19657, 8: 27288, 12: 16126, 16: 11167, 20: 3979, 24: 2092}, ('QuadrupleOnesAndTwos', 4, 2): {0: 4023, 4: 9776, 8: 19015, 12: 22094, 16: 20986, 20: 13805, 24: 7340, 28: 2961}, ('QuadrupleOnesAndTwos', 4, 3): {0: 1848, 4: 4705, 8: 12411, 12: 16853, 16: 22831, 20: 18400, 24: 14480, 28: 5902, 32: 2570}, ('QuadrupleOnesAndTwos', 4, 4): {0: 930, 4: 2291, 8: 8084, 12: 12063, 16: 21220, 20: 19266, 24: 20615, 28: 9443, 32: 6088}, ('QuadrupleOnesAndTwos', 4, 5): {0: 1561, 8: 4963, 12: 7649, 16: 18209, 20: 17910, 24: 25474, 28: 12864, 32: 11370}, ('QuadrupleOnesAndTwos', 4, 6): {0: 722, 8: 3048, 12: 4931, 16: 14796, 20: 15416, 24: 28256, 28: 14675, 32: 18156}, ('QuadrupleOnesAndTwos', 4, 7): {0: 359, 8: 1871, 12: 3189, 16: 11547, 20: 12289, 24: 29181, 28: 16052, 32: 25512}, ('QuadrupleOnesAndTwos', 4, 8): {0: 1226, 12: 1909, 16: 8888, 20: 9679, 24: 28785, 28: 16180, 32: 33333}, ('QuadrupleOnesAndTwos', 5, 1): {0: 13112, 4: 16534, 8: 24718, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1666}, ('QuadrupleOnesAndTwos', 5, 2): {0: 1764, 4: 5529, 8: 12216, 12: 17687, 16: 20808, 20: 18149, 24: 12849, 28: 6991, 32: 4007}, ('QuadrupleOnesAndTwos', 5, 3): {0: 719, 4: 2161, 8: 6362, 12: 11074, 16: 17322, 20: 19002, 24: 18643, 28: 12827, 32: 7960, 36: 3930}, ('QuadrupleOnesAndTwos', 5, 4): {0: 1152, 8: 3209, 12: 6581, 16: 12913, 20: 15867, 24: 20749, 28: 16398, 32: 14218, 36: 5931, 40: 2982}, ('QuadrupleOnesAndTwos', 5, 5): {0: 438, 8: 1729, 12: 3480, 16: 8863, 20: 12037, 24: 20010, 28: 17568, 32: 19789, 36: 9319, 40: 6767}, ('QuadrupleOnesAndTwos', 5, 6): {0: 1064, 12: 1793, 16: 5734, 20: 8436, 24: 17830, 28: 16864, 32: 24246, 36: 12115, 40: 11918}, ('QuadrupleOnesAndTwos', 5, 7): {0: 1449, 16: 3712, 20: 5684, 24: 14936, 28: 14969, 32: 27238, 36: 14094, 40: 17918}, ('QuadrupleOnesAndTwos', 5, 8): {0: 747, 16: 2344, 20: 3690, 24: 11929, 28: 12517, 32: 28388, 36: 15339, 40: 25046}, ('QuadrupleOnesAndTwos', 6, 1): {0: 8646, 4: 13011, 8: 21357, 12: 19385, 16: 17008, 20: 10409, 24: 6249, 28: 3935}, ('QuadrupleOnesAndTwos', 6, 2): {0: 844, 4: 2876, 8: 7435, 12: 12792, 16: 17480, 20: 18814, 24: 16492, 28: 11889, 32: 6893, 36: 4485}, ('QuadrupleOnesAndTwos', 6, 3): {0: 1241, 8: 3203, 12: 6431, 16: 11685, 20: 15584, 24: 17967, 28: 16506, 32: 13314, 36: 8034, 40: 4204, 44: 1831}, ('QuadrupleOnesAndTwos', 6, 4): {0: 83, 4: 1662, 12: 3077, 16: 6727, 20: 10562, 24: 15746, 28: 17174, 32: 17787, 36: 12820, 40: 9289, 44: 5073}, ('QuadrupleOnesAndTwos', 6, 5): {0: 142, 8: 1934, 16: 3781, 20: 6466, 24: 12264, 28: 14810, 32: 19588, 36: 16002, 40: 14682, 44: 6410, 48: 3921}, ('QuadrupleOnesAndTwos', 6, 6): {0: 884, 16: 2094, 20: 3849, 24: 8774, 28: 11481, 32: 19145, 36: 16864, 40: 19906, 44: 9386, 48: 7617}, ('QuadrupleOnesAndTwos', 6, 7): {0: 1386, 20: 2123, 24: 6015, 28: 8372, 32: 17207, 36: 16148, 40: 24051, 44: 11862, 48: 12836}, ('QuadrupleOnesAndTwos', 6, 8): {0: 164, 16: 1677, 24: 3868, 28: 5738, 32: 14489, 36: 14585, 40: 26779, 44: 13821, 48: 18879}, ('QuadrupleOnesAndTwos', 7, 1): {0: 5780, 4: 10185, 8: 17905, 12: 18364, 16: 18160, 20: 13115, 24: 8617, 28: 4458, 32: 3416}, ('QuadrupleOnesAndTwos', 7, 2): {0: 1795, 8: 4327, 12: 8501, 16: 13204, 20: 16895, 24: 17562, 28: 15061, 32: 11122, 36: 6507, 40: 3259, 44: 1767}, ('QuadrupleOnesAndTwos', 7, 3): {0: 84, 4: 1981, 12: 3419, 16: 7076, 20: 11008, 24: 14839, 28: 16393, 32: 16118, 36: 12681, 40: 8773, 44: 4707, 48: 2921}, ('QuadrupleOnesAndTwos', 7, 4): {0: 125, 8: 1825, 16: 3362, 20: 6250, 24: 10535, 28: 13596, 32: 16527, 36: 15938, 40: 14071, 44: 9192, 48: 5741, 52: 2838}, ('QuadrupleOnesAndTwos', 7, 5): {0: 223, 12: 2044, 20: 3100, 24: 6337, 28: 9400, 32: 14443, 36: 15955, 40: 17820, 44: 13369, 48: 10702, 52: 4316, 56: 2291}, ('QuadrupleOnesAndTwos', 7, 6): {0: 271, 16: 2229, 24: 3747, 28: 5988, 32: 11398, 36: 13738, 40: 19063, 44: 15587, 48: 15867, 52: 7202, 56: 4910}, ('QuadrupleOnesAndTwos', 7, 7): {0: 1032, 24: 2129, 28: 3595, 32: 8275, 36: 10801, 40: 18184, 44: 16470, 48: 20467, 52: 9969, 56: 9078}, ('QuadrupleOnesAndTwos', 7, 8): {0: 1, 8: 1507, 28: 2117, 32: 5715, 36: 7770, 40: 16197, 44: 15477, 48: 24388, 52: 12403, 56: 14425}, ('QuadrupleOnesAndTwos', 8, 1): {0: 3811, 4: 7682, 8: 14638, 12: 17214, 16: 18191, 20: 14651, 24: 10976, 28: 6591, 32: 3601, 36: 2645}, ('QuadrupleOnesAndTwos', 8, 2): {0: 906, 8: 2413, 12: 5355, 16: 9421, 20: 13623, 24: 16213, 28: 16246, 32: 14131, 36: 10076, 40: 6198, 44: 3336, 48: 2082}, ('QuadrupleOnesAndTwos', 8, 3): {0: 940, 12: 1804, 16: 4021, 20: 7201, 24: 10733, 28: 13934, 32: 15751, 36: 14882, 40: 12409, 44: 8920, 48: 5462, 52: 3943}, ('QuadrupleOnesAndTwos', 8, 4): {0: 233, 12: 2060, 20: 3103, 24: 6057, 28: 9073, 32: 12990, 36: 14756, 40: 15851, 44: 13795, 48: 10706, 52: 6310, 56: 5066}, ('QuadrupleOnesAndTwos', 8, 5): {0: 254, 16: 1927, 24: 2989, 28: 5327, 32: 8993, 36: 12039, 40: 15561, 44: 15382, 48: 15278, 52: 10629, 56: 7377, 60: 4244}, ('QuadrupleOnesAndTwos', 8, 6): {4: 262, 20: 2004, 28: 2711, 32: 5606, 36: 8463, 40: 13177, 44: 14818, 48: 17731, 52: 14024, 56: 12425, 60: 5446, 64: 3333}, ('QuadrupleOnesAndTwos', 8, 7): {8: 300, 24: 2044, 32: 3399, 36: 5454, 40: 10276, 44: 12582, 48: 18487, 52: 15549, 56: 17187, 60: 8149, 64: 6573}, ('QuadrupleOnesAndTwos', 8, 8): {8: 1005, 32: 1803, 36: 3224, 40: 7484, 44: 9727, 48: 17080, 52: 15898, 56: 21877, 60: 10773, 64: 11129}, ('MicroStraight', 1, 1): {0: 100000}, ('MicroStraight', 1, 2): {0: 100000}, ('MicroStraight', 1, 3): {0: 100000}, ('MicroStraight', 1, 4): {0: 100000}, ('MicroStraight', 1, 5): {0: 100000}, ('MicroStraight', 1, 6): {0: 100000}, ('MicroStraight', 1, 7): {0: 100000}, ('MicroStraight', 1, 8): {0: 100000}, ('MicroStraight', 2, 1): {0: 72326, 10: 27674}, ('MicroStraight', 2, 2): {0: 48546, 10: 51454}, ('MicroStraight', 2, 3): {0: 32619, 10: 67381}, ('MicroStraight', 2, 4): {0: 21659, 10: 78341}, ('MicroStraight', 2, 5): {0: 14288, 10: 85712}, ('MicroStraight', 2, 6): {0: 9882, 10: 90118}, ('MicroStraight', 2, 7): {0: 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('MicroStraight', 5, 5): {0: 1, 10: 99999}, ('MicroStraight', 5, 6): {10: 100000}, ('MicroStraight', 5, 7): {10: 100000}, ('MicroStraight', 5, 8): {10: 100000}, ('MicroStraight', 6, 1): {0: 5937, 10: 94063}, ('MicroStraight', 6, 2): {0: 307, 10: 99693}, ('MicroStraight', 6, 3): {0: 9, 10: 99991}, ('MicroStraight', 6, 4): {0: 1, 10: 99999}, ('MicroStraight', 6, 5): {10: 100000}, ('MicroStraight', 6, 6): {10: 100000}, ('MicroStraight', 6, 7): {10: 100000}, ('MicroStraight', 6, 8): {10: 100000}, ('MicroStraight', 7, 1): {0: 3072, 10: 96928}, ('MicroStraight', 7, 2): {0: 85, 10: 99915}, ('MicroStraight', 7, 3): {0: 2, 10: 99998}, ('MicroStraight', 7, 4): {10: 100000}, ('MicroStraight', 7, 5): {10: 100000}, ('MicroStraight', 7, 6): {10: 100000}, ('MicroStraight', 7, 7): {10: 100000}, ('MicroStraight', 7, 8): {10: 100000}, ('MicroStraight', 8, 1): {0: 1544, 10: 98456}, ('MicroStraight', 8, 2): {0: 15, 10: 99985}, ('MicroStraight', 8, 3): {10: 100000}, ('MicroStraight', 8, 4): {10: 100000}, ('MicroStraight', 8, 5): {10: 100000}, ('MicroStraight', 8, 6): {10: 100000}, ('MicroStraight', 8, 7): {10: 100000}, ('MicroStraight', 8, 8): {10: 100000}, ('ThreeOdds', 1, 1): {0: 100000}, ('ThreeOdds', 1, 2): {0: 100000}, ('ThreeOdds', 1, 3): {0: 100000}, ('ThreeOdds', 1, 4): {0: 100000}, ('ThreeOdds', 1, 5): {0: 100000}, ('ThreeOdds', 1, 6): {0: 100000}, ('ThreeOdds', 1, 7): {0: 100000}, ('ThreeOdds', 1, 8): {0: 100000}, ('ThreeOdds', 2, 1): {0: 100000}, ('ThreeOdds', 2, 2): {0: 100000}, ('ThreeOdds', 2, 3): {0: 100000}, ('ThreeOdds', 2, 4): {0: 100000}, ('ThreeOdds', 2, 5): {0: 100000}, ('ThreeOdds', 2, 6): {0: 100000}, ('ThreeOdds', 2, 7): {0: 100000}, ('ThreeOdds', 2, 8): {0: 100000}, ('ThreeOdds', 3, 1): {0: 87592, 20: 12408}, ('ThreeOdds', 3, 2): {0: 57855, 20: 42145}, ('ThreeOdds', 3, 3): {0: 32668, 20: 67332}, ('ThreeOdds', 3, 4): {0: 17508, 20: 82492}, ('ThreeOdds', 3, 5): {0: 9156, 20: 90844}, ('ThreeOdds', 3, 6): {0: 4572, 20: 95428}, ('ThreeOdds', 3, 7): {0: 2325, 20: 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('ThreeOdds', 6, 8): {20: 100000}, ('ThreeOdds', 7, 1): {0: 22722, 20: 77278}, ('ThreeOdds', 7, 2): {0: 1291, 20: 98709}, ('ThreeOdds', 7, 3): {0: 38, 20: 99962}, ('ThreeOdds', 7, 4): {0: 2, 20: 99998}, ('ThreeOdds', 7, 5): {20: 100000}, ('ThreeOdds', 7, 6): {20: 100000}, ('ThreeOdds', 7, 7): {20: 100000}, ('ThreeOdds', 7, 8): {20: 100000}, ('ThreeOdds', 8, 1): {0: 14556, 20: 85444}, ('ThreeOdds', 8, 2): {0: 430, 20: 99570}, ('ThreeOdds', 8, 3): {0: 3, 20: 99997}, ('ThreeOdds', 8, 4): {20: 100000}, ('ThreeOdds', 8, 5): {20: 100000}, ('ThreeOdds', 8, 6): {20: 100000}, ('ThreeOdds', 8, 7): {20: 100000}, ('ThreeOdds', 8, 8): {20: 100000}, ('OneTwoOneConsecutive', 1, 1): {0: 100000}, ('OneTwoOneConsecutive', 1, 2): {0: 100000}, ('OneTwoOneConsecutive', 1, 3): {0: 100000}, ('OneTwoOneConsecutive', 1, 4): {0: 100000}, ('OneTwoOneConsecutive', 1, 5): {0: 100000}, ('OneTwoOneConsecutive', 1, 6): {0: 100000}, ('OneTwoOneConsecutive', 1, 7): {0: 100000}, ('OneTwoOneConsecutive', 1, 8): {0: 100000}, ('OneTwoOneConsecutive', 2, 1): {0: 100000}, ('OneTwoOneConsecutive', 2, 2): {0: 100000}, ('OneTwoOneConsecutive', 2, 3): {0: 100000}, ('OneTwoOneConsecutive', 2, 4): {0: 100000}, ('OneTwoOneConsecutive', 2, 5): {0: 100000}, ('OneTwoOneConsecutive', 2, 6): {0: 100000}, ('OneTwoOneConsecutive', 2, 7): {0: 100000}, ('OneTwoOneConsecutive', 2, 8): {0: 100000}, ('OneTwoOneConsecutive', 3, 1): {0: 100000}, ('OneTwoOneConsecutive', 3, 2): {0: 100000}, ('OneTwoOneConsecutive', 3, 3): {0: 100000}, ('OneTwoOneConsecutive', 3, 4): {0: 100000}, ('OneTwoOneConsecutive', 3, 5): {0: 100000}, ('OneTwoOneConsecutive', 3, 6): {0: 100000}, ('OneTwoOneConsecutive', 3, 7): {0: 100000}, ('OneTwoOneConsecutive', 3, 8): {0: 100000}, ('OneTwoOneConsecutive', 4, 1): {0: 96371, 30: 3629}, ('OneTwoOneConsecutive', 4, 2): {0: 86605, 30: 13395}, ('OneTwoOneConsecutive', 4, 3): {0: 75037, 30: 24963}, ('OneTwoOneConsecutive', 4, 4): {0: 63656, 30: 36344}, ('OneTwoOneConsecutive', 4, 5): {0: 53869, 30: 46131}, ('OneTwoOneConsecutive', 4, 6): {0: 45131, 30: 54869}, ('OneTwoOneConsecutive', 4, 7): {0: 37535, 30: 62465}, ('OneTwoOneConsecutive', 4, 8): {0: 31425, 30: 68575}, ('OneTwoOneConsecutive', 5, 1): {0: 86632, 30: 13368}, ('OneTwoOneConsecutive', 5, 2): {0: 62779, 30: 37221}, ('OneTwoOneConsecutive', 5, 3): {0: 46034, 30: 53966}, ('OneTwoOneConsecutive', 5, 4): {0: 34983, 30: 65017}, ('OneTwoOneConsecutive', 5, 5): {0: 28056, 30: 71944}, ('OneTwoOneConsecutive', 5, 6): {0: 23150, 30: 76850}, ('OneTwoOneConsecutive', 5, 7): {0: 19577, 30: 80423}, ('OneTwoOneConsecutive', 5, 8): {0: 17613, 30: 82387}, ('OneTwoOneConsecutive', 6, 1): {0: 71928, 30: 28072}, ('OneTwoOneConsecutive', 6, 2): {0: 40724, 30: 59276}, ('OneTwoOneConsecutive', 6, 3): {0: 26723, 30: 73277}, ('OneTwoOneConsecutive', 6, 4): {0: 19685, 30: 80315}, ('OneTwoOneConsecutive', 6, 5): {0: 15460, 30: 84540}, ('OneTwoOneConsecutive', 6, 6): {0: 12526, 30: 87474}, ('OneTwoOneConsecutive', 6, 7): {0: 10014, 30: 89986}, ('OneTwoOneConsecutive', 6, 8): {0: 8251, 30: 91749}, ('OneTwoOneConsecutive', 7, 1): {0: 55544, 30: 44456}, ('OneTwoOneConsecutive', 7, 2): {0: 24840, 30: 75160}, ('OneTwoOneConsecutive', 7, 3): {0: 15102, 30: 84898}, ('OneTwoOneConsecutive', 7, 4): {0: 10541, 30: 89459}, ('OneTwoOneConsecutive', 7, 5): {0: 7720, 30: 92280}, ('OneTwoOneConsecutive', 7, 6): {0: 5554, 30: 94446}, ('OneTwoOneConsecutive', 7, 7): {0: 4106, 30: 95894}, ('OneTwoOneConsecutive', 7, 8): {0: 3025, 30: 96975}, ('OneTwoOneConsecutive', 8, 1): {0: 40693, 30: 59307}, ('OneTwoOneConsecutive', 8, 2): {0: 14827, 30: 85173}, ('OneTwoOneConsecutive', 8, 3): {0: 8195, 30: 91805}, ('OneTwoOneConsecutive', 8, 4): {0: 5383, 30: 94617}, ('OneTwoOneConsecutive', 8, 5): {0: 3395, 30: 96605}, ('OneTwoOneConsecutive', 8, 6): {0: 2299, 30: 97701}, ('OneTwoOneConsecutive', 8, 7): {0: 1412, 30: 98588}, ('OneTwoOneConsecutive', 8, 8): {0: 872, 30: 99128}, ('ThreeDistinctDice', 1, 1): {0: 100000}, ('ThreeDistinctDice', 1, 2): {0: 100000}, ('ThreeDistinctDice', 1, 3): {0: 100000}, ('ThreeDistinctDice', 1, 4): {0: 100000}, ('ThreeDistinctDice', 1, 5): {0: 100000}, ('ThreeDistinctDice', 1, 6): {0: 100000}, ('ThreeDistinctDice', 1, 7): {0: 100000}, ('ThreeDistinctDice', 1, 8): {0: 100000}, ('ThreeDistinctDice', 2, 1): {0: 100000}, ('ThreeDistinctDice', 2, 2): {0: 100000}, ('ThreeDistinctDice', 2, 3): {0: 100000}, ('ThreeDistinctDice', 2, 4): {0: 100000}, ('ThreeDistinctDice', 2, 5): {0: 100000}, ('ThreeDistinctDice', 2, 6): {0: 100000}, ('ThreeDistinctDice', 2, 7): {0: 100000}, ('ThreeDistinctDice', 2, 8): {0: 100000}, ('ThreeDistinctDice', 3, 1): {0: 44707, 20: 55293}, ('ThreeDistinctDice', 3, 2): {0: 15078, 20: 84922}, ('ThreeDistinctDice', 3, 3): {0: 5056, 20: 94944}, ('ThreeDistinctDice', 3, 4): {0: 1688, 20: 98312}, ('ThreeDistinctDice', 3, 5): {0: 516, 20: 99484}, ('ThreeDistinctDice', 3, 6): {0: 182, 20: 99818}, ('ThreeDistinctDice', 3, 7): {0: 56, 20: 99944}, ('ThreeDistinctDice', 3, 8): {0: 15, 20: 99985}, ('ThreeDistinctDice', 4, 1): {0: 16721, 20: 83279}, ('ThreeDistinctDice', 4, 2): {0: 1826, 20: 98174}, ('ThreeDistinctDice', 4, 3): {0: 203, 20: 99797}, ('ThreeDistinctDice', 4, 4): {0: 18, 20: 99982}, ('ThreeDistinctDice', 4, 5): {0: 3, 20: 99997}, ('ThreeDistinctDice', 4, 6): {20: 100000}, ('ThreeDistinctDice', 4, 7): {20: 100000}, ('ThreeDistinctDice', 4, 8): {20: 100000}, ('ThreeDistinctDice', 5, 1): {0: 5904, 20: 94096}, ('ThreeDistinctDice', 5, 2): {0: 236, 20: 99764}, ('ThreeDistinctDice', 5, 3): {0: 12, 20: 99988}, ('ThreeDistinctDice', 5, 4): {20: 100000}, ('ThreeDistinctDice', 5, 5): {20: 100000}, ('ThreeDistinctDice', 5, 6): {20: 100000}, ('ThreeDistinctDice', 5, 7): {20: 100000}, ('ThreeDistinctDice', 5, 8): {20: 100000}, ('ThreeDistinctDice', 6, 1): {0: 1992, 20: 98008}, ('ThreeDistinctDice', 6, 2): {0: 21, 20: 99979}, ('ThreeDistinctDice', 6, 3): {20: 100000}, ('ThreeDistinctDice', 6, 4): {20: 100000}, ('ThreeDistinctDice', 6, 5): {20: 100000}, ('ThreeDistinctDice', 6, 6): {20: 100000}, ('ThreeDistinctDice', 6, 7): {20: 100000}, ('ThreeDistinctDice', 6, 8): {20: 100000}, ('ThreeDistinctDice', 7, 1): {0: 692, 20: 99308}, ('ThreeDistinctDice', 7, 2): {0: 4, 20: 99996}, ('ThreeDistinctDice', 7, 3): {20: 100000}, ('ThreeDistinctDice', 7, 4): {20: 100000}, ('ThreeDistinctDice', 7, 5): {20: 100000}, ('ThreeDistinctDice', 7, 6): {20: 100000}, ('ThreeDistinctDice', 7, 7): {20: 100000}, ('ThreeDistinctDice', 7, 8): {20: 100000}, ('ThreeDistinctDice', 8, 1): {0: 243, 20: 99757}, ('ThreeDistinctDice', 8, 2): {0: 1, 20: 99999}, ('ThreeDistinctDice', 8, 3): {20: 100000}, ('ThreeDistinctDice', 8, 4): {20: 100000}, ('ThreeDistinctDice', 8, 5): {20: 100000}, ('ThreeDistinctDice', 8, 6): {20: 100000}, ('ThreeDistinctDice', 8, 7): {20: 100000}, ('ThreeDistinctDice', 8, 8): {20: 100000}, ('TwoPair', 1, 1): {0: 100000}, ('TwoPair', 1, 2): {0: 100000}, ('TwoPair', 1, 3): {0: 100000}, ('TwoPair', 1, 4): {0: 100000}, ('TwoPair', 1, 5): {0: 100000}, ('TwoPair', 1, 6): {0: 100000}, ('TwoPair', 1, 7): {0: 100000}, ('TwoPair', 1, 8): {0: 100000}, ('TwoPair', 2, 1): {0: 100000}, ('TwoPair', 2, 2): {0: 100000}, ('TwoPair', 2, 3): {0: 100000}, ('TwoPair', 2, 4): {0: 100000}, ('TwoPair', 2, 5): {0: 100000}, ('TwoPair', 2, 6): {0: 100000}, ('TwoPair', 2, 7): {0: 100000}, ('TwoPair', 2, 8): {0: 100000}, ('TwoPair', 3, 1): {0: 100000}, ('TwoPair', 3, 2): {0: 100000}, ('TwoPair', 3, 3): {0: 100000}, ('TwoPair', 3, 4): {0: 100000}, ('TwoPair', 3, 5): {0: 100000}, ('TwoPair', 3, 6): {0: 100000}, ('TwoPair', 3, 7): {0: 100000}, ('TwoPair', 3, 8): {0: 100000}, ('TwoPair', 4, 1): {0: 93065, 30: 6935}, ('TwoPair', 4, 2): {0: 82102, 30: 17898}, ('TwoPair', 4, 3): {0: 71209, 30: 28791}, ('TwoPair', 4, 4): {0: 61609, 30: 38391}, ('TwoPair', 4, 5): {0: 53036, 30: 46964}, ('TwoPair', 4, 6): {0: 45705, 30: 54295}, ('TwoPair', 4, 7): {0: 39398, 30: 60602}, ('TwoPair', 4, 8): {0: 33673, 30: 66327}, ('TwoPair', 5, 1): {0: 72847, 30: 27153}, ('TwoPair', 5, 2): {0: 46759, 30: 53241}, ('TwoPair', 5, 3): {0: 29462, 30: 70538}, ('TwoPair', 5, 4): {0: 18351, 30: 81649}, ('TwoPair', 5, 5): {0: 11793, 30: 88207}, ('TwoPair', 5, 6): {0: 7385, 30: 92615}, ('TwoPair', 5, 7): {0: 4610, 30: 95390}, ('TwoPair', 5, 8): {0: 2938, 30: 97062}, ('TwoPair', 6, 1): {0: 44431, 30: 55569}, ('TwoPair', 6, 2): {0: 17183, 30: 82817}, ('TwoPair', 6, 3): {0: 6759, 30: 93241}, ('TwoPair', 6, 4): {0: 2562, 30: 97438}, ('TwoPair', 6, 5): {0: 948, 30: 99052}, ('TwoPair', 6, 6): {0: 375, 30: 99625}, ('TwoPair', 6, 7): {0: 138, 30: 99862}, ('TwoPair', 6, 8): {0: 57, 30: 99943}, ('TwoPair', 7, 1): {0: 19888, 30: 80112}, ('TwoPair', 7, 2): {0: 3935, 30: 96065}, ('TwoPair', 7, 3): {0: 801, 30: 99199}, ('TwoPair', 7, 4): {0: 175, 30: 99825}, ('TwoPair', 7, 5): {0: 31, 30: 99969}, ('TwoPair', 7, 6): {0: 7, 30: 99993}, ('TwoPair', 7, 7): {0: 2, 30: 99998}, ('TwoPair', 7, 8): {30: 100000}, ('TwoPair', 8, 1): {0: 6791, 30: 93209}, ('TwoPair', 8, 2): {0: 588, 30: 99412}, ('TwoPair', 8, 3): {0: 61, 30: 99939}, ('TwoPair', 8, 4): {0: 6, 30: 99994}, ('TwoPair', 8, 5): {30: 100000}, ('TwoPair', 8, 6): {30: 100000}, ('TwoPair', 8, 7): {30: 100000}, ('TwoPair', 8, 8): {30: 100000}, ('TwoOneTwoConsecutive', 1, 1): {0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {0: 100000}, ('TwoOneTwoConsecutive', 4, 2): {0: 100000}, ('TwoOneTwoConsecutive', 4, 3): {0: 100000}, ('TwoOneTwoConsecutive', 4, 4): {0: 100000}, ('TwoOneTwoConsecutive', 4, 5): {0: 100000}, ('TwoOneTwoConsecutive', 4, 6): {0: 100000}, ('TwoOneTwoConsecutive', 4, 7): {0: 100000}, ('TwoOneTwoConsecutive', 4, 8): {0: 100000}, ('TwoOneTwoConsecutive', 5, 1): {0: 98403, 40: 1597}, ('TwoOneTwoConsecutive', 5, 2): {0: 90651, 40: 9349}, ('TwoOneTwoConsecutive', 5, 3): {0: 80100, 40: 19900}, ('TwoOneTwoConsecutive', 5, 4): {0: 69131, 40: 30869}, ('TwoOneTwoConsecutive', 5, 5): {0: 58252, 40: 41748}, ('TwoOneTwoConsecutive', 5, 6): {0: 49405, 40: 50595}, ('TwoOneTwoConsecutive', 5, 7): {0: 41585, 40: 58415}, ('TwoOneTwoConsecutive', 5, 8): {0: 34952, 40: 65048}, ('TwoOneTwoConsecutive', 6, 1): {0: 93465, 40: 6535}, ('TwoOneTwoConsecutive', 6, 2): {0: 73416, 40: 26584}, ('TwoOneTwoConsecutive', 6, 3): {0: 54041, 40: 45959}, ('TwoOneTwoConsecutive', 6, 4): {0: 38535, 40: 61465}, ('TwoOneTwoConsecutive', 6, 5): {0: 27366, 40: 72634}, ('TwoOneTwoConsecutive', 6, 6): {0: 18924, 40: 81076}, ('TwoOneTwoConsecutive', 6, 7): {0: 13387, 40: 86613}, ('TwoOneTwoConsecutive', 6, 8): {0: 9134, 40: 90866}, ('TwoOneTwoConsecutive', 7, 1): {0: 84168, 40: 15832}, ('TwoOneTwoConsecutive', 7, 2): {0: 52659, 40: 47341}, ('TwoOneTwoConsecutive', 7, 3): {0: 30435, 40: 69565}, ('TwoOneTwoConsecutive', 7, 4): {0: 17477, 40: 82523}, ('TwoOneTwoConsecutive', 7, 5): {0: 9782, 40: 90218}, ('TwoOneTwoConsecutive', 7, 6): {0: 5316, 40: 94684}, ('TwoOneTwoConsecutive', 7, 7): {0: 2995, 40: 97005}, ('TwoOneTwoConsecutive', 7, 8): {0: 1689, 40: 98311}, ('TwoOneTwoConsecutive', 8, 1): {0: 71089, 40: 28911}, ('TwoOneTwoConsecutive', 8, 2): {0: 33784, 40: 66216}, ('TwoOneTwoConsecutive', 8, 3): {0: 14820, 40: 85180}, ('TwoOneTwoConsecutive', 8, 4): {0: 6265, 40: 93735}, ('TwoOneTwoConsecutive', 8, 5): {0: 2600, 40: 97400}, ('TwoOneTwoConsecutive', 8, 6): {0: 1155, 40: 98845}, ('TwoOneTwoConsecutive', 8, 7): {0: 487, 40: 99513}, ('TwoOneTwoConsecutive', 8, 8): {0: 190, 40: 99810}, ('FiveDistinctDice', 1, 1): {0: 100000}, ('FiveDistinctDice', 1, 2): {0: 100000}, ('FiveDistinctDice', 1, 3): {0: 100000}, ('FiveDistinctDice', 1, 4): {0: 100000}, ('FiveDistinctDice', 1, 5): {0: 100000}, ('FiveDistinctDice', 1, 6): {0: 100000}, ('FiveDistinctDice', 1, 7): {0: 100000}, ('FiveDistinctDice', 1, 8): {0: 100000}, ('FiveDistinctDice', 2, 1): {0: 100000}, ('FiveDistinctDice', 2, 2): {0: 100000}, ('FiveDistinctDice', 2, 3): {0: 100000}, ('FiveDistinctDice', 2, 4): {0: 100000}, ('FiveDistinctDice', 2, 5): {0: 100000}, ('FiveDistinctDice', 2, 6): {0: 100000}, ('FiveDistinctDice', 2, 7): {0: 100000}, ('FiveDistinctDice', 2, 8): {0: 100000}, ('FiveDistinctDice', 3, 1): {0: 100000}, ('FiveDistinctDice', 3, 2): {0: 100000}, ('FiveDistinctDice', 3, 3): {0: 100000}, ('FiveDistinctDice', 3, 4): {0: 100000}, ('FiveDistinctDice', 3, 5): {0: 100000}, ('FiveDistinctDice', 3, 6): {0: 100000}, ('FiveDistinctDice', 3, 7): {0: 100000}, ('FiveDistinctDice', 3, 8): {0: 100000}, ('FiveDistinctDice', 4, 1): {0: 100000}, ('FiveDistinctDice', 4, 2): {0: 100000}, ('FiveDistinctDice', 4, 3): {0: 100000}, ('FiveDistinctDice', 4, 4): {0: 100000}, ('FiveDistinctDice', 4, 5): {0: 100000}, ('FiveDistinctDice', 4, 6): {0: 100000}, ('FiveDistinctDice', 4, 7): {0: 100000}, ('FiveDistinctDice', 4, 8): {0: 100000}, ('FiveDistinctDice', 5, 1): {0: 90907, 25: 9093}, ('FiveDistinctDice', 5, 2): {0: 68020, 25: 31980}, ('FiveDistinctDice', 5, 3): {0: 47692, 25: 52308}, ('FiveDistinctDice', 5, 4): {0: 32383, 25: 67617}, ('FiveDistinctDice', 5, 5): {0: 21631, 25: 78369}, ('FiveDistinctDice', 5, 6): {0: 14366, 25: 85634}, ('FiveDistinctDice', 5, 7): {0: 9568, 25: 90432}, ('FiveDistinctDice', 5, 8): {0: 6360, 25: 93640}, ('FiveDistinctDice', 6, 1): {0: 75051, 25: 24949}, ('FiveDistinctDice', 6, 2): {0: 38409, 25: 61591}, ('FiveDistinctDice', 6, 3): {0: 17505, 25: 82495}, ('FiveDistinctDice', 6, 4): {0: 7862, 25: 92138}, ('FiveDistinctDice', 6, 5): {0: 3538, 25: 96462}, ('FiveDistinctDice', 6, 6): {0: 1645, 25: 98355}, ('FiveDistinctDice', 6, 7): {0: 714, 25: 99286}, ('FiveDistinctDice', 6, 8): {0: 341, 25: 99659}, ('FiveDistinctDice', 7, 1): {0: 58588, 25: 41412}, ('FiveDistinctDice', 7, 2): {0: 19487, 25: 80513}, ('FiveDistinctDice', 7, 3): {0: 6043, 25: 93957}, ('FiveDistinctDice', 7, 4): {0: 1799, 25: 98201}, ('FiveDistinctDice', 7, 5): {0: 544, 25: 99456}, ('FiveDistinctDice', 7, 6): {0: 169, 25: 99831}, ('FiveDistinctDice', 7, 7): {0: 59, 25: 99941}, ('FiveDistinctDice', 7, 8): {0: 11, 25: 99989}, ('FiveDistinctDice', 8, 1): {0: 43586, 25: 56414}, ('FiveDistinctDice', 8, 2): {0: 9615, 25: 90385}, ('FiveDistinctDice', 8, 3): {0: 1944, 25: 98056}, ('FiveDistinctDice', 8, 4): {0: 383, 25: 99617}, ('FiveDistinctDice', 8, 5): {0: 77, 25: 99923}, ('FiveDistinctDice', 8, 6): {0: 18, 25: 99982}, ('FiveDistinctDice', 8, 7): {0: 3, 25: 99997}, ('FiveDistinctDice', 8, 8): {0: 2, 25: 99998}, ('FourAndFiveFullHouse', 1, 1): {0: 100000}, ('FourAndFiveFullHouse', 1, 2): {0: 100000}, ('FourAndFiveFullHouse', 1, 3): {0: 100000}, ('FourAndFiveFullHouse', 1, 4): {0: 100000}, ('FourAndFiveFullHouse', 1, 5): {0: 100000}, ('FourAndFiveFullHouse', 1, 6): {0: 100000}, ('FourAndFiveFullHouse', 1, 7): {0: 100000}, ('FourAndFiveFullHouse', 1, 8): {0: 100000}, ('FourAndFiveFullHouse', 2, 1): {0: 100000}, ('FourAndFiveFullHouse', 2, 2): {0: 100000}, ('FourAndFiveFullHouse', 2, 3): {0: 100000}, ('FourAndFiveFullHouse', 2, 4): {0: 100000}, ('FourAndFiveFullHouse', 2, 5): {0: 100000}, ('FourAndFiveFullHouse', 2, 6): {0: 100000}, ('FourAndFiveFullHouse', 2, 7): {0: 100000}, ('FourAndFiveFullHouse', 2, 8): {0: 100000}, ('FourAndFiveFullHouse', 3, 1): {0: 100000}, ('FourAndFiveFullHouse', 3, 2): {0: 100000}, ('FourAndFiveFullHouse', 3, 3): {0: 100000}, ('FourAndFiveFullHouse', 3, 4): {0: 100000}, ('FourAndFiveFullHouse', 3, 5): {0: 100000}, ('FourAndFiveFullHouse', 3, 6): {0: 100000}, ('FourAndFiveFullHouse', 3, 7): {0: 100000}, ('FourAndFiveFullHouse', 3, 8): {0: 100000}, ('FourAndFiveFullHouse', 4, 1): {0: 100000}, ('FourAndFiveFullHouse', 4, 2): {0: 100000}, ('FourAndFiveFullHouse', 4, 3): {0: 100000}, ('FourAndFiveFullHouse', 4, 4): {0: 100000}, ('FourAndFiveFullHouse', 4, 5): {0: 100000}, ('FourAndFiveFullHouse', 4, 6): {0: 100000}, ('FourAndFiveFullHouse', 4, 7): {0: 100000}, ('FourAndFiveFullHouse', 4, 8): {0: 100000}, ('FourAndFiveFullHouse', 5, 1): {0: 99724, 50: 276}, ('FourAndFiveFullHouse', 5, 2): {0: 96607, 50: 3393}, ('FourAndFiveFullHouse', 5, 3): {0: 88788, 50: 11212}, ('FourAndFiveFullHouse', 5, 4): {0: 77799, 50: 22201}, ('FourAndFiveFullHouse', 5, 5): {0: 65797, 50: 34203}, ('FourAndFiveFullHouse', 5, 6): {0: 54548, 50: 45452}, ('FourAndFiveFullHouse', 5, 7): {0: 44898, 50: 55102}, ('FourAndFiveFullHouse', 5, 8): {0: 36881, 50: 63119}, ('FourAndFiveFullHouse', 6, 1): {0: 98841, 50: 1159}, ('FourAndFiveFullHouse', 6, 2): {0: 88680, 50: 11320}, ('FourAndFiveFullHouse', 6, 3): {0: 70215, 50: 29785}, ('FourAndFiveFullHouse', 6, 4): {0: 50801, 50: 49199}, ('FourAndFiveFullHouse', 6, 5): {0: 35756, 50: 64244}, ('FourAndFiveFullHouse', 6, 6): {0: 24698, 50: 75302}, ('FourAndFiveFullHouse', 6, 7): {0: 17145, 50: 82855}, ('FourAndFiveFullHouse', 6, 8): {0: 11846, 50: 88154}, ('FourAndFiveFullHouse', 7, 1): {0: 97090, 50: 2910}, ('FourAndFiveFullHouse', 7, 2): {0: 77440, 50: 22560}, ('FourAndFiveFullHouse', 7, 3): {0: 51372, 50: 48628}, ('FourAndFiveFullHouse', 7, 4): {0: 30566, 50: 69434}, ('FourAndFiveFullHouse', 7, 5): {0: 17866, 50: 82134}, ('FourAndFiveFullHouse', 7, 6): {0: 10521, 50: 89479}, ('FourAndFiveFullHouse', 7, 7): {0: 6204, 50: 93796}, ('FourAndFiveFullHouse', 7, 8): {0: 3670, 50: 96330}, ('FourAndFiveFullHouse', 8, 1): {0: 94172, 50: 5828}, ('FourAndFiveFullHouse', 8, 2): {0: 64693, 50: 35307}, ('FourAndFiveFullHouse', 8, 3): {0: 35293, 50: 64707}, ('FourAndFiveFullHouse', 8, 4): {0: 17749, 50: 82251}, ('FourAndFiveFullHouse', 8, 5): {0: 8740, 50: 91260}, ('FourAndFiveFullHouse', 8, 6): {0: 4550, 50: 95450}, ('FourAndFiveFullHouse', 8, 7): {0: 2218, 50: 97782}, ('FourAndFiveFullHouse', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file From 42034af724d38aec5b5574a02337e29a084ba7f6 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 20:09:10 +0200 Subject: [PATCH 091/127] Changed the weights to make it faster 135 -> 81 seconds on 100 random yamls --- worlds/yachtdice/YachtWeights.py | 7929 +----------------------------- worlds/yachtdice/weightsNN.txt | 1 - 2 files changed, 1 insertion(+), 7929 deletions(-) delete mode 100644 worlds/yachtdice/weightsNN.txt diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index b70acd4e615a..ba3944ae9c82 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,7931 +6,4 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = { - ("Ones", 0, 0): {0: 100000}, - ("Ones", 0, 1): {0: 100000}, - ("Ones", 0, 2): {0: 100000}, - ("Ones", 0, 3): {0: 100000}, - ("Ones", 0, 4): {0: 100000}, - ("Ones", 0, 5): {0: 100000}, - ("Ones", 0, 6): {0: 100000}, - ("Ones", 0, 7): {0: 100000}, - ("Ones", 0, 8): {0: 100000}, - ("Ones", 1, 0): {0: 100000}, - ("Ones", 1, 1): {0: 83416, 1: 16584}, - ("Ones", 1, 2): {0: 69346, 1: 30654}, - ("Ones", 1, 3): {0: 57756, 1: 42244}, - ("Ones", 1, 4): {0: 48709, 1: 51291}, - ("Ones", 1, 5): {1: 59786, 0: 40214}, - ("Ones", 1, 6): {1: 66509, 0: 33491}, - ("Ones", 1, 7): {1: 72162, 0: 27838}, - ("Ones", 1, 8): {0: 23094, 1: 76906}, - ("Ones", 2, 0): {0: 100000}, - ("Ones", 2, 1): {0: 69715, 1: 27502, 2: 2783}, - ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, - ("Ones", 2, 3): {1: 48585, 0: 33544, 2: 17871}, - ("Ones", 2, 4): {1: 50092, 2: 26566, 0: 23342}, - ("Ones", 2, 5): {1: 48250, 2: 35714, 0: 16036}, - ("Ones", 2, 6): {1: 44545, 0: 11355, 2: 44100}, - ("Ones", 2, 7): {2: 51940, 0: 7812, 1: 40248}, - ("Ones", 2, 8): {1: 35484, 2: 59121, 0: 5395}, - ("Ones", 3, 0): {0: 100000}, - ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 6907, 3: 480}, - ("Ones", 3, 2): {1: 44253, 2: 19531, 3: 2889, 0: 33327}, - ("Ones", 3, 3): {1: 42237, 3: 7510, 2: 30821, 0: 19432}, - ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, - ("Ones", 3, 5): {3: 21443, 2: 43130, 1: 28891, 0: 6536}, - ("Ones", 3, 6): {2: 44196, 1: 22501, 3: 29606, 0: 3697}, - ("Ones", 3, 7): {1: 16717, 2: 43782, 3: 37367, 0: 2134}, - ("Ones", 3, 8): {1: 12567, 2: 40951, 3: 45202, 0: 1280}, - ("Ones", 4, 0): {0: 100000}, - ("Ones", 4, 1): {0: 48178, 1: 38635, 3: 1534, 2: 11592, 4: 61}, - ("Ones", 4, 2): {1: 40775, 3: 8051, 0: 23349, 2: 26967, 4: 858}, - ("Ones", 4, 3): {1: 32547, 2: 35556, 0: 11366, 3: 17371, 4: 3160}, - ("Ones", 4, 4): {2: 37271, 1: 23241, 3: 26943, 4: 7214, 0: 5331}, - ("Ones", 4, 5): {2: 34536, 3: 34496, 1: 15336, 4: 12992, 0: 2640}, - ("Ones", 4, 6): {2: 29743, 3: 39298, 4: 19633, 1: 10073, 0: 1253}, - ("Ones", 4, 7): {2: 24313, 3: 41680, 1: 6304, 4: 27092, 0: 611}, - ("Ones", 4, 8): {4: 34460, 3: 42267, 0: 313, 1: 3915, 2: 19045}, - ("Ones", 5, 0): {0: 100000}, - ("Ones", 5, 1): {1: 40202, 0: 40042, 3: 3249, 2: 16165, 4: 331, 5: 11}, - ("Ones", 5, 2): {1: 35432, 3: 13849, 2: 31231, 0: 16212, 4: 3032, 5: 244}, - ("Ones", 5, 3): {3: 24952, 2: 34509, 1: 23548, 0: 6556, 4: 9117, 5: 1318}, - ("Ones", 5, 4): {3: 32048, 2: 30176, 1: 14157, 4: 17403, 5: 3664, 0: 2552}, - ("Ones", 5, 5): {4: 25625, 0: 1079, 3: 34614, 2: 23245, 5: 7733, 1: 7704}, - ("Ones", 5, 6): {1: 4104, 5: 13068, 4: 32816, 2: 16702, 3: 32901, 0: 409}, - ("Ones", 5, 7): {4: 37869, 3: 28973, 5: 19366, 0: 175, 2: 11497, 1: 2120}, - ("Ones", 5, 8): {1: 1094, 5: 26646, 3: 24639, 2: 7382, 4: 40166, 0: 73}, - ("Ones", 6, 0): {0: 100000}, - ("Ones", 6, 1): {2: 20320, 0: 33501, 1: 40042, 3: 5295, 4: 773, 5: 69}, - ("Ones", 6, 2): {1: 29379, 3: 19350, 2: 32368, 5: 1141, 0: 11326, 4: 6344, 6: 92}, - ("Ones", 6, 3): {4: 15450, 3: 28928, 5: 4634, 1: 16463, 2: 30197, 0: 3764, 6: 564}, - ("Ones", 6, 4): {3: 31038, 4: 25136, 2: 21790, 1: 8093, 0: 1231, 5: 10779, 6: 1933}, - ("Ones", 6, 5): {3: 27868, 4: 30878, 5: 18389, 2: 14029, 1: 3790, 6: 4628, 0: 418}, - ("Ones", 6, 6): {2: 8389, 4: 33022, 3: 22007, 6: 8599, 5: 26133, 1: 1692, 0: 158}, - ("Ones", 6, 7): {5: 32432, 3: 16397, 6: 13966, 4: 31702, 2: 4749, 1: 707, 0: 47}, - ("Ones", 6, 8): {6: 20483, 5: 37005, 4: 28116, 3: 11500, 2: 2575, 1: 304, 0: 17}, - ("Ones", 7, 0): {0: 100000}, - ("Ones", 7, 1): {2: 23331, 0: 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("OneTwoOneConsecutive", 3, 4): {0: 100000}, - ("OneTwoOneConsecutive", 3, 5): {0: 100000}, - ("OneTwoOneConsecutive", 3, 6): {0: 100000}, - ("OneTwoOneConsecutive", 3, 7): {0: 100000}, - ("OneTwoOneConsecutive", 3, 8): {0: 100000}, - ("OneTwoOneConsecutive", 4, 1): {0: 96371, 30: 3629}, - ("OneTwoOneConsecutive", 4, 2): {30: 13395, 0: 86605}, - ("OneTwoOneConsecutive", 4, 3): {0: 75037, 30: 24963}, - ("OneTwoOneConsecutive", 4, 4): {30: 36344, 0: 63656}, - ("OneTwoOneConsecutive", 4, 5): {30: 46131, 0: 53869}, - ("OneTwoOneConsecutive", 4, 6): {30: 54869, 0: 45131}, - ("OneTwoOneConsecutive", 4, 7): {30: 62465, 0: 37535}, - ("OneTwoOneConsecutive", 4, 8): {30: 68575, 0: 31425}, - ("OneTwoOneConsecutive", 5, 1): {0: 86632, 30: 13368}, - ("OneTwoOneConsecutive", 5, 2): {0: 62779, 30: 37221}, - ("OneTwoOneConsecutive", 5, 3): {30: 53966, 0: 46034}, - ("OneTwoOneConsecutive", 5, 4): {0: 34983, 30: 65017}, - ("OneTwoOneConsecutive", 5, 5): {0: 28056, 30: 71944}, - ("OneTwoOneConsecutive", 5, 6): {30: 76850, 0: 23150}, - ("OneTwoOneConsecutive", 5, 7): {30: 80423, 0: 19577}, - ("OneTwoOneConsecutive", 5, 8): {0: 17613, 30: 82387}, - ("OneTwoOneConsecutive", 6, 1): {0: 71928, 30: 28072}, - ("OneTwoOneConsecutive", 6, 2): {0: 40724, 30: 59276}, - ("OneTwoOneConsecutive", 6, 3): {30: 73277, 0: 26723}, - ("OneTwoOneConsecutive", 6, 4): {0: 19685, 30: 80315}, - ("OneTwoOneConsecutive", 6, 5): {30: 84540, 0: 15460}, - ("OneTwoOneConsecutive", 6, 6): {30: 87474, 0: 12526}, - ("OneTwoOneConsecutive", 6, 7): {30: 89986, 0: 10014}, - ("OneTwoOneConsecutive", 6, 8): {30: 91749, 0: 8251}, - ("OneTwoOneConsecutive", 7, 1): {0: 55544, 30: 44456}, - ("OneTwoOneConsecutive", 7, 2): {30: 75160, 0: 24840}, - ("OneTwoOneConsecutive", 7, 3): {30: 84898, 0: 15102}, - ("OneTwoOneConsecutive", 7, 4): {30: 89459, 0: 10541}, - ("OneTwoOneConsecutive", 7, 5): {30: 92280, 0: 7720}, - ("OneTwoOneConsecutive", 7, 6): {30: 94446, 0: 5554}, - ("OneTwoOneConsecutive", 7, 7): {30: 95894, 0: 4106}, - ("OneTwoOneConsecutive", 7, 8): {30: 96975, 0: 3025}, - ("OneTwoOneConsecutive", 8, 1): {30: 59307, 0: 40693}, - ("OneTwoOneConsecutive", 8, 2): {0: 14827, 30: 85173}, - ("OneTwoOneConsecutive", 8, 3): {30: 91805, 0: 8195}, - ("OneTwoOneConsecutive", 8, 4): {30: 94617, 0: 5383}, - ("OneTwoOneConsecutive", 8, 5): {30: 96605, 0: 3395}, - ("OneTwoOneConsecutive", 8, 6): {30: 97701, 0: 2299}, - ("OneTwoOneConsecutive", 8, 7): {30: 98588, 0: 1412}, - ("OneTwoOneConsecutive", 8, 8): {30: 99128, 0: 872}, - ("ThreeDistinctDice", 1, 1): {0: 100000}, - ("ThreeDistinctDice", 1, 2): {0: 100000}, - ("ThreeDistinctDice", 1, 3): {0: 100000}, - ("ThreeDistinctDice", 1, 4): {0: 100000}, - ("ThreeDistinctDice", 1, 5): {0: 100000}, - ("ThreeDistinctDice", 1, 6): {0: 100000}, - ("ThreeDistinctDice", 1, 7): {0: 100000}, - ("ThreeDistinctDice", 1, 8): {0: 100000}, - ("ThreeDistinctDice", 2, 1): {0: 100000}, - ("ThreeDistinctDice", 2, 2): {0: 100000}, - ("ThreeDistinctDice", 2, 3): {0: 100000}, - ("ThreeDistinctDice", 2, 4): {0: 100000}, - ("ThreeDistinctDice", 2, 5): {0: 100000}, - ("ThreeDistinctDice", 2, 6): {0: 100000}, - ("ThreeDistinctDice", 2, 7): {0: 100000}, - ("ThreeDistinctDice", 2, 8): {0: 100000}, - ("ThreeDistinctDice", 3, 1): {20: 55293, 0: 44707}, - ("ThreeDistinctDice", 3, 2): {0: 15078, 20: 84922}, - ("ThreeDistinctDice", 3, 3): {20: 94944, 0: 5056}, - ("ThreeDistinctDice", 3, 4): {0: 1688, 20: 98312}, - ("ThreeDistinctDice", 3, 5): {20: 99484, 0: 516}, - ("ThreeDistinctDice", 3, 6): {20: 99818, 0: 182}, - ("ThreeDistinctDice", 3, 7): {20: 99944, 0: 56}, - ("ThreeDistinctDice", 3, 8): {20: 99985, 0: 15}, - ("ThreeDistinctDice", 4, 1): {20: 83279, 0: 16721}, - ("ThreeDistinctDice", 4, 2): {20: 98174, 0: 1826}, - ("ThreeDistinctDice", 4, 3): {20: 99797, 0: 203}, - ("ThreeDistinctDice", 4, 4): {20: 99982, 0: 18}, - ("ThreeDistinctDice", 4, 5): {20: 99997, 0: 3}, - ("ThreeDistinctDice", 4, 6): {20: 100000}, - ("ThreeDistinctDice", 4, 7): {20: 100000}, - ("ThreeDistinctDice", 4, 8): {20: 100000}, - ("ThreeDistinctDice", 5, 1): {0: 5904, 20: 94096}, - ("ThreeDistinctDice", 5, 2): {20: 99764, 0: 236}, - ("ThreeDistinctDice", 5, 3): {20: 99988, 0: 12}, - ("ThreeDistinctDice", 5, 4): {20: 100000}, - ("ThreeDistinctDice", 5, 5): {20: 100000}, - ("ThreeDistinctDice", 5, 6): {20: 100000}, - ("ThreeDistinctDice", 5, 7): {20: 100000}, - ("ThreeDistinctDice", 5, 8): {20: 100000}, - ("ThreeDistinctDice", 6, 1): {20: 98008, 0: 1992}, - ("ThreeDistinctDice", 6, 2): {20: 99979, 0: 21}, - ("ThreeDistinctDice", 6, 3): {20: 100000}, - ("ThreeDistinctDice", 6, 4): {20: 100000}, - ("ThreeDistinctDice", 6, 5): {20: 100000}, - ("ThreeDistinctDice", 6, 6): {20: 100000}, - ("ThreeDistinctDice", 6, 7): {20: 100000}, - ("ThreeDistinctDice", 6, 8): {20: 100000}, - ("ThreeDistinctDice", 7, 1): {20: 99308, 0: 692}, - ("ThreeDistinctDice", 7, 2): {20: 99996, 0: 4}, - ("ThreeDistinctDice", 7, 3): {20: 100000}, - ("ThreeDistinctDice", 7, 4): {20: 100000}, - ("ThreeDistinctDice", 7, 5): {20: 100000}, - ("ThreeDistinctDice", 7, 6): {20: 100000}, - ("ThreeDistinctDice", 7, 7): {20: 100000}, - ("ThreeDistinctDice", 7, 8): {20: 100000}, - ("ThreeDistinctDice", 8, 1): {20: 99757, 0: 243}, - ("ThreeDistinctDice", 8, 2): {20: 99999, 0: 1}, - ("ThreeDistinctDice", 8, 3): {20: 100000}, - ("ThreeDistinctDice", 8, 4): {20: 100000}, - ("ThreeDistinctDice", 8, 5): {20: 100000}, - ("ThreeDistinctDice", 8, 6): {20: 100000}, - ("ThreeDistinctDice", 8, 7): {20: 100000}, - ("ThreeDistinctDice", 8, 8): {20: 100000}, - ("TwoPair", 1, 1): {0: 100000}, - ("TwoPair", 1, 2): {0: 100000}, - ("TwoPair", 1, 3): {0: 100000}, - ("TwoPair", 1, 4): {0: 100000}, - ("TwoPair", 1, 5): {0: 100000}, - ("TwoPair", 1, 6): {0: 100000}, - ("TwoPair", 1, 7): {0: 100000}, - ("TwoPair", 1, 8): {0: 100000}, - ("TwoPair", 2, 1): {0: 100000}, - ("TwoPair", 2, 2): {0: 100000}, - ("TwoPair", 2, 3): {0: 100000}, - ("TwoPair", 2, 4): {0: 100000}, - ("TwoPair", 2, 5): {0: 100000}, - ("TwoPair", 2, 6): {0: 100000}, - ("TwoPair", 2, 7): {0: 100000}, - ("TwoPair", 2, 8): {0: 100000}, - ("TwoPair", 3, 1): {0: 100000}, - ("TwoPair", 3, 2): {0: 100000}, - ("TwoPair", 3, 3): {0: 100000}, - ("TwoPair", 3, 4): {0: 100000}, - ("TwoPair", 3, 5): {0: 100000}, - ("TwoPair", 3, 6): {0: 100000}, - ("TwoPair", 3, 7): {0: 100000}, - ("TwoPair", 3, 8): {0: 100000}, - ("TwoPair", 4, 1): {0: 93065, 30: 6935}, - ("TwoPair", 4, 2): {0: 82102, 30: 17898}, - ("TwoPair", 4, 3): {0: 71209, 30: 28791}, - ("TwoPair", 4, 4): {0: 61609, 30: 38391}, - ("TwoPair", 4, 5): {30: 46964, 0: 53036}, - ("TwoPair", 4, 6): {0: 45705, 30: 54295}, - ("TwoPair", 4, 7): {0: 39398, 30: 60602}, - ("TwoPair", 4, 8): {30: 66327, 0: 33673}, - ("TwoPair", 5, 1): {30: 27153, 0: 72847}, - ("TwoPair", 5, 2): {30: 53241, 0: 46759}, - ("TwoPair", 5, 3): {30: 70538, 0: 29462}, - ("TwoPair", 5, 4): {30: 81649, 0: 18351}, - ("TwoPair", 5, 5): {30: 88207, 0: 11793}, - ("TwoPair", 5, 6): {30: 92615, 0: 7385}, - ("TwoPair", 5, 7): {30: 95390, 0: 4610}, - ("TwoPair", 5, 8): {30: 97062, 0: 2938}, - ("TwoPair", 6, 1): {30: 55569, 0: 44431}, - ("TwoPair", 6, 2): {30: 82817, 0: 17183}, - ("TwoPair", 6, 3): {30: 93241, 0: 6759}, - ("TwoPair", 6, 4): {30: 97438, 0: 2562}, - ("TwoPair", 6, 5): {30: 99052, 0: 948}, - ("TwoPair", 6, 6): {30: 99625, 0: 375}, - ("TwoPair", 6, 7): {30: 99862, 0: 138}, - ("TwoPair", 6, 8): {30: 99943, 0: 57}, - ("TwoPair", 7, 1): {0: 19888, 30: 80112}, - ("TwoPair", 7, 2): {30: 96065, 0: 3935}, - ("TwoPair", 7, 3): {30: 99199, 0: 801}, - ("TwoPair", 7, 4): {30: 99825, 0: 175}, - ("TwoPair", 7, 5): {30: 99969, 0: 31}, - ("TwoPair", 7, 6): {30: 99993, 0: 7}, - ("TwoPair", 7, 7): {30: 99998, 0: 2}, - ("TwoPair", 7, 8): {30: 100000}, - ("TwoPair", 8, 1): {30: 93209, 0: 6791}, - ("TwoPair", 8, 2): {30: 99412, 0: 588}, - ("TwoPair", 8, 3): {30: 99939, 0: 61}, - ("TwoPair", 8, 4): {30: 99994, 0: 6}, - ("TwoPair", 8, 5): {30: 100000}, - ("TwoPair", 8, 6): {30: 100000}, - ("TwoPair", 8, 7): {30: 100000}, - ("TwoPair", 8, 8): {30: 100000}, - ("TwoOneTwoConsecutive", 1, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 1, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 2, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, - ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, - ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, - ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, - ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, - ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, - ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, - ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, - ("TwoOneTwoConsecutive", 5, 7): {40: 58415, 0: 41585}, - ("TwoOneTwoConsecutive", 5, 8): {40: 65048, 0: 34952}, - ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, - ("TwoOneTwoConsecutive", 6, 2): {40: 26584, 0: 73416}, - ("TwoOneTwoConsecutive", 6, 3): {40: 45959, 0: 54041}, - ("TwoOneTwoConsecutive", 6, 4): {40: 61465, 0: 38535}, - ("TwoOneTwoConsecutive", 6, 5): {40: 72634, 0: 27366}, - ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, - ("TwoOneTwoConsecutive", 6, 7): {40: 86613, 0: 13387}, - ("TwoOneTwoConsecutive", 6, 8): {40: 90866, 0: 9134}, - ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, - ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, - ("TwoOneTwoConsecutive", 7, 3): {40: 69565, 0: 30435}, - ("TwoOneTwoConsecutive", 7, 4): {40: 82523, 0: 17477}, - ("TwoOneTwoConsecutive", 7, 5): {40: 90218, 0: 9782}, - ("TwoOneTwoConsecutive", 7, 6): {40: 94684, 0: 5316}, - ("TwoOneTwoConsecutive", 7, 7): {40: 97005, 0: 2995}, - ("TwoOneTwoConsecutive", 7, 8): {40: 98311, 0: 1689}, - ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, - ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, - ("TwoOneTwoConsecutive", 8, 3): {40: 85180, 0: 14820}, - ("TwoOneTwoConsecutive", 8, 4): {40: 93735, 0: 6265}, - ("TwoOneTwoConsecutive", 8, 5): {40: 97400, 0: 2600}, - ("TwoOneTwoConsecutive", 8, 6): {40: 98845, 0: 1155}, - ("TwoOneTwoConsecutive", 8, 7): {40: 99513, 0: 487}, - ("TwoOneTwoConsecutive", 8, 8): {40: 99810, 0: 190}, - ("FiveDistinctDice", 1, 1): {0: 100000}, - ("FiveDistinctDice", 1, 2): {0: 100000}, - ("FiveDistinctDice", 1, 3): {0: 100000}, - ("FiveDistinctDice", 1, 4): {0: 100000}, - ("FiveDistinctDice", 1, 5): {0: 100000}, - ("FiveDistinctDice", 1, 6): {0: 100000}, - ("FiveDistinctDice", 1, 7): {0: 100000}, - ("FiveDistinctDice", 1, 8): {0: 100000}, - ("FiveDistinctDice", 2, 1): {0: 100000}, - ("FiveDistinctDice", 2, 2): {0: 100000}, - ("FiveDistinctDice", 2, 3): {0: 100000}, - ("FiveDistinctDice", 2, 4): {0: 100000}, - ("FiveDistinctDice", 2, 5): {0: 100000}, - ("FiveDistinctDice", 2, 6): {0: 100000}, - ("FiveDistinctDice", 2, 7): {0: 100000}, - ("FiveDistinctDice", 2, 8): {0: 100000}, - ("FiveDistinctDice", 3, 1): {0: 100000}, - ("FiveDistinctDice", 3, 2): {0: 100000}, - ("FiveDistinctDice", 3, 3): {0: 100000}, - ("FiveDistinctDice", 3, 4): {0: 100000}, - ("FiveDistinctDice", 3, 5): {0: 100000}, - ("FiveDistinctDice", 3, 6): {0: 100000}, - ("FiveDistinctDice", 3, 7): {0: 100000}, - ("FiveDistinctDice", 3, 8): {0: 100000}, - ("FiveDistinctDice", 4, 1): {0: 100000}, - ("FiveDistinctDice", 4, 2): {0: 100000}, - ("FiveDistinctDice", 4, 3): {0: 100000}, - ("FiveDistinctDice", 4, 4): {0: 100000}, - ("FiveDistinctDice", 4, 5): {0: 100000}, - ("FiveDistinctDice", 4, 6): {0: 100000}, - ("FiveDistinctDice", 4, 7): {0: 100000}, - ("FiveDistinctDice", 4, 8): {0: 100000}, - ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, - ("FiveDistinctDice", 5, 2): {25: 31980, 0: 68020}, - ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, - ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, - ("FiveDistinctDice", 5, 5): {25: 78369, 0: 21631}, - ("FiveDistinctDice", 5, 6): {25: 85634, 0: 14366}, - ("FiveDistinctDice", 5, 7): {25: 90432, 0: 9568}, - ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, - ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, - ("FiveDistinctDice", 6, 2): {25: 61591, 0: 38409}, - ("FiveDistinctDice", 6, 3): {25: 82495, 0: 17505}, - ("FiveDistinctDice", 6, 4): {25: 92138, 0: 7862}, - ("FiveDistinctDice", 6, 5): {25: 96462, 0: 3538}, - ("FiveDistinctDice", 6, 6): {25: 98355, 0: 1645}, - ("FiveDistinctDice", 6, 7): {25: 99286, 0: 714}, - ("FiveDistinctDice", 6, 8): {25: 99659, 0: 341}, - ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, - ("FiveDistinctDice", 7, 2): {25: 80513, 0: 19487}, - ("FiveDistinctDice", 7, 3): {25: 93957, 0: 6043}, - ("FiveDistinctDice", 7, 4): {25: 98201, 0: 1799}, - ("FiveDistinctDice", 7, 5): {25: 99456, 0: 544}, - ("FiveDistinctDice", 7, 6): {25: 99831, 0: 169}, - ("FiveDistinctDice", 7, 7): {25: 99941, 0: 59}, - ("FiveDistinctDice", 7, 8): {25: 99989, 0: 11}, - ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, - ("FiveDistinctDice", 8, 2): {25: 90385, 0: 9615}, - ("FiveDistinctDice", 8, 3): {25: 98056, 0: 1944}, - ("FiveDistinctDice", 8, 4): {25: 99617, 0: 383}, - ("FiveDistinctDice", 8, 5): {25: 99923, 0: 77}, - ("FiveDistinctDice", 8, 6): {25: 99982, 0: 18}, - ("FiveDistinctDice", 8, 7): {25: 99997, 0: 3}, - ("FiveDistinctDice", 8, 8): {25: 99998, 0: 2}, - ("FourAndFiveFullHouse", 1, 1): {0: 100000}, - ("FourAndFiveFullHouse", 1, 2): {0: 100000}, - ("FourAndFiveFullHouse", 1, 3): {0: 100000}, - ("FourAndFiveFullHouse", 1, 4): {0: 100000}, - ("FourAndFiveFullHouse", 1, 5): {0: 100000}, - ("FourAndFiveFullHouse", 1, 6): {0: 100000}, - ("FourAndFiveFullHouse", 1, 7): {0: 100000}, - ("FourAndFiveFullHouse", 1, 8): {0: 100000}, - ("FourAndFiveFullHouse", 2, 1): {0: 100000}, - ("FourAndFiveFullHouse", 2, 2): {0: 100000}, - ("FourAndFiveFullHouse", 2, 3): {0: 100000}, - ("FourAndFiveFullHouse", 2, 4): {0: 100000}, - ("FourAndFiveFullHouse", 2, 5): {0: 100000}, - ("FourAndFiveFullHouse", 2, 6): {0: 100000}, - ("FourAndFiveFullHouse", 2, 7): {0: 100000}, - ("FourAndFiveFullHouse", 2, 8): {0: 100000}, - ("FourAndFiveFullHouse", 3, 1): {0: 100000}, - ("FourAndFiveFullHouse", 3, 2): {0: 100000}, - ("FourAndFiveFullHouse", 3, 3): {0: 100000}, - ("FourAndFiveFullHouse", 3, 4): {0: 100000}, - ("FourAndFiveFullHouse", 3, 5): {0: 100000}, - ("FourAndFiveFullHouse", 3, 6): {0: 100000}, - ("FourAndFiveFullHouse", 3, 7): {0: 100000}, - ("FourAndFiveFullHouse", 3, 8): {0: 100000}, - ("FourAndFiveFullHouse", 4, 1): {0: 100000}, - ("FourAndFiveFullHouse", 4, 2): {0: 100000}, - ("FourAndFiveFullHouse", 4, 3): {0: 100000}, - ("FourAndFiveFullHouse", 4, 4): {0: 100000}, - ("FourAndFiveFullHouse", 4, 5): {0: 100000}, - ("FourAndFiveFullHouse", 4, 6): {0: 100000}, - ("FourAndFiveFullHouse", 4, 7): {0: 100000}, - ("FourAndFiveFullHouse", 4, 8): {0: 100000}, - ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, - ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, - ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, - ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, - ("FourAndFiveFullHouse", 5, 5): {50: 34203, 0: 65797}, - ("FourAndFiveFullHouse", 5, 6): {50: 45452, 0: 54548}, - ("FourAndFiveFullHouse", 5, 7): {50: 55102, 0: 44898}, - ("FourAndFiveFullHouse", 5, 8): {50: 63119, 0: 36881}, - ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, - ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, - ("FourAndFiveFullHouse", 6, 3): {50: 29785, 0: 70215}, - ("FourAndFiveFullHouse", 6, 4): {50: 49199, 0: 50801}, - ("FourAndFiveFullHouse", 6, 5): {50: 64244, 0: 35756}, - ("FourAndFiveFullHouse", 6, 6): {50: 75302, 0: 24698}, - ("FourAndFiveFullHouse", 6, 7): {50: 82855, 0: 17145}, - ("FourAndFiveFullHouse", 6, 8): {50: 88154, 0: 11846}, - ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, - ("FourAndFiveFullHouse", 7, 2): {50: 22560, 0: 77440}, - ("FourAndFiveFullHouse", 7, 3): {50: 48628, 0: 51372}, - ("FourAndFiveFullHouse", 7, 4): {50: 69434, 0: 30566}, - ("FourAndFiveFullHouse", 7, 5): {50: 82134, 0: 17866}, - ("FourAndFiveFullHouse", 7, 6): {50: 89479, 0: 10521}, - ("FourAndFiveFullHouse", 7, 7): {50: 93796, 0: 6204}, - ("FourAndFiveFullHouse", 7, 8): {50: 96330, 0: 3670}, - ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, - ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, - ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, - ("FourAndFiveFullHouse", 8, 4): {50: 82251, 0: 17749}, - ("FourAndFiveFullHouse", 8, 5): {50: 91260, 0: 8740}, - ("FourAndFiveFullHouse", 8, 6): {50: 95450, 0: 4550}, - ("FourAndFiveFullHouse", 8, 7): {50: 97782, 0: 2218}, - ("FourAndFiveFullHouse", 8, 8): {50: 98916, 0: 1084}, -} - -import time -total_changed = 0 -for key, value_dict in yacht_weights.items(): - per_cat_changed = 0 - # Sort the dictionary by key - sorted_items = sorted(value_dict.items()) - sorted_keys = [item[0] for item in sorted_items] - sorted_values = [item[1] for item in sorted_items] - leng = len(sorted_values) - - changed = False - for i in range(leng - 1, 0, -1): - #sorted_keys[i-1]: sorted_values[i-1] - #sorted_keys[i] : sorted_values[i] - if sorted_values[i] * (sorted_keys[i] - sorted_keys[i-1]) < 6500: - total_changed += sorted_values[i] * (sorted_keys[i] - sorted_keys[i-1]) - per_cat_changed += sorted_values[i] * (sorted_keys[i] - sorted_keys[i-1]) - sorted_values[i-1] += sorted_values[i] - del sorted_keys[i] - del sorted_values[i] - changed = True - - leng = len(sorted_values) - yacht_weights[key] = {sorted_keys[i]: sorted_values[i] for i in range(leng)} - if per_cat_changed > 100000: - print(f"{key}: {per_cat_changed}") -print(total_changed) -with open('weightsNN.txt', 'w') as weightFile: - weightFile.write(str(yacht_weights)) \ No newline at end of file +yacht_weights = {('Ones', 0, 0): {0: 100000}, ('Ones', 0, 1): {0: 100000}, ('Ones', 0, 2): {0: 100000}, ('Ones', 0, 3): {0: 100000}, ('Ones', 0, 4): {0: 100000}, ('Ones', 0, 5): {0: 100000}, ('Ones', 0, 6): {0: 100000}, ('Ones', 0, 7): {0: 100000}, ('Ones', 0, 8): {0: 100000}, ('Ones', 1, 0): {0: 100000}, ('Ones', 1, 1): {0: 83416, 1: 16584}, ('Ones', 1, 2): {0: 69346, 1: 30654}, ('Ones', 1, 3): {0: 57756, 1: 42244}, ('Ones', 1, 4): {0: 48709, 1: 51291}, ('Ones', 1, 5): {0: 40214, 1: 59786}, ('Ones', 1, 6): {0: 33491, 1: 66509}, ('Ones', 1, 7): {0: 27838, 1: 72162}, ('Ones', 1, 8): {0: 23094, 1: 76906}, ('Ones', 2, 0): {0: 100000}, ('Ones', 2, 1): {0: 69715, 1: 30285}, ('Ones', 2, 2): {0: 48066, 1: 42669, 2: 9265}, ('Ones', 2, 3): {0: 33544, 1: 48585, 2: 17871}, ('Ones', 2, 4): {0: 23342, 1: 50092, 2: 26566}, ('Ones', 2, 5): {0: 16036, 1: 48250, 2: 35714}, ('Ones', 2, 6): {0: 11355, 1: 44545, 2: 44100}, ('Ones', 2, 7): {0: 7812, 1: 40248, 2: 51940}, ('Ones', 2, 8): {0: 5395, 1: 35484, 2: 59121}, ('Ones', 3, 0): {0: 100000}, ('Ones', 3, 1): {0: 57462, 1: 35151, 2: 7387}, ('Ones', 3, 2): {0: 33327, 1: 44253, 2: 22420}, ('Ones', 3, 3): {0: 19432, 1: 42237, 2: 30821, 3: 7510}, ('Ones', 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ('Ones', 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, ('Ones', 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, ('Ones', 3, 7): {0: 2134, 1: 16717, 2: 43782, 3: 37367}, ('Ones', 3, 8): {0: 1280, 1: 12567, 2: 40951, 3: 45202}, ('Ones', 4, 0): {0: 100000}, ('Ones', 4, 1): {0: 48178, 1: 38635, 2: 13187}, ('Ones', 4, 2): {0: 23349, 1: 40775, 2: 26967, 3: 8909}, ('Ones', 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, ('Ones', 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 26943, 4: 7214}, ('Ones', 4, 5): {0: 2640, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, ('Ones', 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, ('Ones', 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, ('Ones', 4, 8): {0: 4228, 2: 19045, 3: 42267, 4: 34460}, ('Ones', 5, 0): {0: 100000}, ('Ones', 5, 1): {0: 40042, 1: 40202, 2: 19756}, ('Ones', 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, ('Ones', 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 24952, 4: 10435}, ('Ones', 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, ('Ones', 5, 5): {0: 1079, 1: 7704, 2: 23245, 3: 34614, 4: 25625, 5: 7733}, ('Ones', 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, ('Ones', 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, ('Ones', 5, 8): {0: 1167, 2: 7382, 3: 24639, 4: 40166, 5: 26646}, ('Ones', 6, 0): {0: 100000}, ('Ones', 6, 1): {0: 33501, 1: 40042, 2: 26457}, ('Ones', 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 19350, 4: 7577}, ('Ones', 6, 3): {0: 3764, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, ('Ones', 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, ('Ones', 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, ('Ones', 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, ('Ones', 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, ('Ones', 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, ('Ones', 7, 0): {0: 100000}, ('Ones', 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, ('Ones', 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, ('Ones', 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, ('Ones', 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 17986, 6: 7490}, ('Ones', 7, 5): {0: 1947, 2: 7907, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, ('Ones', 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, ('Ones', 7, 7): {0: 2032, 3: 7943, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, ('Ones', 7, 8): {0: 5519, 4: 15425, 5: 30293, 6: 33357, 7: 15406}, ('Ones', 8, 0): {0: 100000}, ('Ones', 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, ('Ones', 8, 2): {0: 5472, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, ('Ones', 8, 3): {0: 1209, 1: 7452, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, ('Ones', 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, ('Ones', 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, ('Ones', 8, 6): {0: 1971, 3: 6901, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, ('Ones', 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 22673, 8: 7330}, ('Ones', 8, 8): {0: 2078, 4: 7029, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, ('Twos', 0, 0): {0: 100000}, ('Twos', 0, 1): {0: 100000}, ('Twos', 0, 2): {0: 100000}, ('Twos', 0, 3): {0: 100000}, ('Twos', 0, 4): {0: 100000}, ('Twos', 0, 5): {0: 100000}, ('Twos', 0, 6): {0: 100000}, ('Twos', 0, 7): {0: 100000}, ('Twos', 0, 8): {0: 100000}, ('Twos', 1, 0): {0: 100000}, ('Twos', 1, 1): {0: 83475, 2: 16525}, ('Twos', 1, 2): {0: 69690, 2: 30310}, ('Twos', 1, 3): {0: 57818, 2: 42182}, ('Twos', 1, 4): {0: 48418, 2: 51582}, ('Twos', 1, 5): {0: 40301, 2: 59699}, ('Twos', 1, 6): {0: 33558, 2: 66442}, ('Twos', 1, 7): {0: 28182, 2: 71818}, ('Twos', 1, 8): {0: 23406, 2: 76594}, ('Twos', 2, 0): {0: 100000}, ('Twos', 2, 1): {0: 69724, 2: 30276}, ('Twos', 2, 2): {0: 48238, 2: 42479, 4: 9283}, ('Twos', 2, 3): {0: 33290, 2: 48819, 4: 17891}, ('Twos', 2, 4): {0: 23136, 2: 49957, 4: 26907}, ('Twos', 2, 5): {0: 16146, 2: 48200, 4: 35654}, ('Twos', 2, 6): {0: 11083, 2: 44497, 4: 44420}, ('Twos', 2, 7): {0: 7662, 2: 40343, 4: 51995}, ('Twos', 2, 8): {0: 5354, 2: 35526, 4: 59120}, ('Twos', 3, 0): {0: 100000}, ('Twos', 3, 1): {0: 58021, 2: 34522, 4: 7457}, ('Twos', 3, 2): {0: 33548, 2: 44261, 4: 22191}, ('Twos', 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, ('Twos', 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, ('Twos', 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, ('Twos', 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, ('Twos', 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, ('Twos', 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, ('Twos', 4, 0): {0: 100000}, ('Twos', 4, 1): {0: 48235, 2: 38602, 4: 13163}, ('Twos', 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, ('Twos', 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, ('Twos', 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, ('Twos', 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, ('Twos', 4, 6): {0: 1259, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, ('Twos', 4, 7): {0: 622, 2: 6323, 4: 24103, 6: 41894, 8: 27058}, ('Twos', 4, 8): {0: 278, 2: 3813, 4: 18855, 6: 42309, 8: 34745}, ('Twos', 5, 0): {0: 100000}, ('Twos', 5, 1): {0: 40028, 2: 40241, 4: 16003, 6: 3728}, ('Twos', 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 13797, 8: 3269}, ('Twos', 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, ('Twos', 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 17149, 10: 3748}, ('Twos', 5, 5): {0: 1032, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, ('Twos', 5, 6): {0: 450, 2: 4152, 4: 16541, 6: 32774, 8: 32900, 10: 13183}, ('Twos', 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, ('Twos', 5, 8): {0: 1171, 4: 7571, 6: 23993, 8: 40798, 10: 26467}, ('Twos', 6, 0): {0: 100000}, ('Twos', 6, 1): {0: 33502, 2: 40413, 4: 19717, 6: 6368}, ('Twos', 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, ('Twos', 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 15825, 10: 5146}, ('Twos', 6, 4): {0: 1243, 2: 8048, 4: 21977, 6: 31053, 8: 25066, 10: 12613}, ('Twos', 6, 5): {0: 441, 2: 3753, 4: 13949, 6: 28142, 8: 30723, 10: 18355, 12: 4637}, ('Twos', 6, 6): {0: 1800, 4: 8455, 6: 22222, 8: 32692, 10: 26213, 12: 8618}, ('Twos', 6, 7): {0: 775, 4: 4871, 6: 16142, 8: 31410, 10: 32532, 12: 14270}, ('Twos', 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612}, ('Twos', 7, 0): {0: 100000}, ('Twos', 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683}, ('Twos', 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286}, ('Twos', 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787}, ('Twos', 7, 4): {0: 564, 2: 4465, 4: 14571, 6: 26395, 8: 28409, 10: 18080, 12: 7516}, ('Twos', 7, 5): {0: 1913, 4: 7911, 6: 19287, 8: 29039, 10: 26129, 12: 15721}, ('Twos', 7, 6): {0: 702, 4: 3961, 6: 12897, 8: 25752, 10: 30413, 12: 20324, 14: 5951}, ('Twos', 7, 7): {0: 2179, 6: 8007, 8: 20334, 10: 32054, 12: 27347, 14: 10079}, ('Twos', 7, 8): {0: 942, 6: 4602, 8: 15233, 10: 30248, 12: 33276, 14: 15699}, ('Twos', 8, 0): {0: 100000}, ('Twos', 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383}, ('Twos', 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 14198, 10: 6325}, ('Twos', 8, 3): {0: 1271, 2: 7289, 4: 18793, 6: 27054, 8: 24712, 10: 14462, 12: 6419}, ('Twos', 8, 4): {0: 2889, 4: 9310, 6: 20242, 8: 27389, 10: 23232, 12: 12609, 14: 4329}, ('Twos', 8, 5): {0: 879, 4: 4184, 6: 12669, 8: 23322, 10: 27882, 12: 20768, 14: 10296}, ('Twos', 8, 6): {0: 2041, 6: 6992, 8: 17148, 10: 27398, 12: 27048, 14: 15513, 16: 3860}, ('Twos', 8, 7): {0: 741, 6: 3547, 8: 11479, 10: 23675, 12: 30829, 14: 22454, 16: 7275}, ('Twos', 8, 8): {2: 2053, 8: 6980, 10: 18697, 12: 31310, 14: 28983, 16: 11977}, ('Threes', 0, 0): {0: 100000}, ('Threes', 0, 1): {0: 100000}, ('Threes', 0, 2): {0: 100000}, ('Threes', 0, 3): {0: 100000}, ('Threes', 0, 4): {0: 100000}, ('Threes', 0, 5): {0: 100000}, ('Threes', 0, 6): {0: 100000}, ('Threes', 0, 7): {0: 100000}, ('Threes', 0, 8): {0: 100000}, ('Threes', 1, 0): {0: 100000}, ('Threes', 1, 1): {0: 83343, 3: 16657}, ('Threes', 1, 2): {0: 69569, 3: 30431}, ('Threes', 1, 3): {0: 57872, 3: 42128}, ('Threes', 1, 4): {0: 48081, 3: 51919}, ('Threes', 1, 5): {0: 40271, 3: 59729}, ('Threes', 1, 6): {0: 33201, 3: 66799}, ('Threes', 1, 7): {0: 27903, 3: 72097}, ('Threes', 1, 8): {0: 23240, 3: 76760}, ('Threes', 2, 0): {0: 100000}, ('Threes', 2, 1): {0: 69419, 3: 27798, 6: 2783}, ('Threes', 2, 2): {0: 48202, 3: 42590, 6: 9208}, ('Threes', 2, 3): {0: 33376, 3: 48849, 6: 17775}, ('Threes', 2, 4): {0: 23276, 3: 49810, 6: 26914}, ('Threes', 2, 5): {0: 16092, 3: 47718, 6: 36190}, ('Threes', 2, 6): {0: 11232, 3: 44515, 6: 44253}, ('Threes', 2, 7): {0: 7589, 3: 40459, 6: 51952}, ('Threes', 2, 8): {0: 5447, 3: 35804, 6: 58749}, ('Threes', 3, 0): {0: 100000}, ('Threes', 3, 1): {0: 57964, 3: 34701, 6: 7335}, ('Threes', 3, 2): {0: 33637, 3: 44263, 6: 19213, 9: 2887}, ('Threes', 3, 3): {0: 19520, 3: 42382, 6: 30676, 9: 7422}, ('Threes', 3, 4): {0: 11265, 3: 35772, 6: 39042, 9: 13921}, ('Threes', 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404}, ('Threes', 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306}, ('Threes', 3, 7): {0: 2174, 3: 16875, 6: 43720, 9: 37231}, ('Threes', 3, 8): {0: 1237, 3: 12471, 6: 41222, 9: 45070}, ('Threes', 4, 0): {0: 100000}, ('Threes', 4, 1): {0: 48121, 3: 38786, 6: 13093}, ('Threes', 4, 2): {0: 23296, 3: 40989, 6: 26998, 9: 8717}, ('Threes', 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 17221, 12: 3183}, ('Threes', 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 26734, 12: 7065}, ('Threes', 4, 5): {0: 2691, 3: 15496, 6: 34539, 9: 34635, 12: 12639}, ('Threes', 4, 6): {0: 1221, 3: 10046, 6: 29811, 9: 39190, 12: 19732}, ('Threes', 4, 7): {0: 599, 3: 6322, 6: 24420, 9: 41614, 12: 27045}, ('Threes', 4, 8): {0: 309, 3: 3876, 6: 18843, 9: 42236, 12: 34736}, ('Threes', 5, 0): {0: 100000}, ('Threes', 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3401}, ('Threes', 5, 2): {0: 16197, 3: 35494, 6: 30937, 9: 13946, 12: 3426}, ('Threes', 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 25239, 12: 10352}, ('Threes', 5, 4): {0: 2636, 3: 14072, 6: 30134, 9: 32371, 12: 17169, 15: 3618}, ('Threes', 5, 5): {0: 1075, 3: 7804, 6: 23010, 9: 34811, 12: 25702, 15: 7598}, ('Threes', 5, 6): {0: 418, 3: 4234, 6: 16654, 9: 32809, 12: 32892, 15: 12993}, ('Threes', 5, 7): {0: 162, 3: 2203, 6: 11416, 9: 29072, 12: 37604, 15: 19543}, ('Threes', 5, 8): {0: 1246, 6: 7425, 9: 24603, 12: 40262, 15: 26464}, ('Threes', 6, 0): {0: 100000}, ('Threes', 6, 1): {0: 33473, 3: 40175, 6: 20151, 9: 6201}, ('Threes', 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 19287, 12: 7344}, ('Threes', 6, 3): {0: 3628, 3: 16528, 6: 29814, 9: 29006, 12: 15888, 15: 5136}, ('Threes', 6, 4): {0: 1262, 3: 8236, 6: 21987, 9: 30953, 12: 24833, 15: 12729}, ('Threes', 6, 5): {0: 416, 3: 3820, 6: 13949, 9: 27798, 12: 31197, 15: 18256, 18: 4564}, ('Threes', 6, 6): {0: 1796, 6: 8372, 9: 22175, 12: 32897, 15: 26264, 18: 8496}, ('Threes', 6, 7): {0: 791, 6: 4728, 9: 16346, 12: 31385, 15: 32666, 18: 14084}, ('Threes', 6, 8): {0: 317, 6: 2651, 9: 11202, 12: 28320, 15: 36982, 18: 20528}, ('Threes', 7, 0): {0: 100000}, ('Threes', 7, 1): {0: 27933, 3: 39105, 6: 23338, 9: 9624}, ('Threes', 7, 2): {0: 7794, 3: 23896, 6: 31832, 9: 23110, 12: 10218, 15: 3150}, ('Threes', 7, 3): {0: 2138, 3: 11098, 6: 24140, 9: 29316, 12: 21386, 15: 9413, 18: 2509}, ('Threes', 7, 4): {0: 590, 3: 4648, 6: 14737, 9: 26233, 12: 28244, 15: 18118, 18: 7430}, ('Threes', 7, 5): {0: 1941, 6: 7953, 9: 19439, 12: 28977, 15: 26078, 18: 12957, 21: 2655}, ('Threes', 7, 6): {0: 718, 6: 3938, 9: 13025, 12: 25793, 15: 30535, 18: 20208, 21: 5783}, ('Threes', 7, 7): {0: 2064, 9: 7941, 12: 20571, 15: 31859, 18: 27374, 21: 10191}, ('Threes', 7, 8): {0: 963, 9: 4747, 12: 15117, 15: 30313, 18: 33133, 21: 15727}, ('Threes', 8, 0): {0: 100000}, ('Threes', 8, 1): {0: 23337, 3: 37232, 6: 25968, 9: 10377, 12: 3086}, ('Threes', 8, 2): {0: 5310, 3: 18930, 6: 29232, 9: 26016, 12: 14399, 15: 6113}, ('Threes', 8, 3): {0: 1328, 3: 7328, 6: 18754, 9: 27141, 12: 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('Yacht', 3, 2): {0: 100000}, ('Yacht', 3, 3): {0: 100000}, ('Yacht', 3, 4): {0: 100000}, ('Yacht', 3, 5): {0: 100000}, ('Yacht', 3, 6): {0: 100000}, ('Yacht', 3, 7): {0: 100000}, ('Yacht', 3, 8): {0: 100000}, ('Yacht', 4, 0): {0: 100000}, ('Yacht', 4, 1): {0: 100000}, ('Yacht', 4, 2): {0: 100000}, ('Yacht', 4, 3): {0: 100000}, ('Yacht', 4, 4): {0: 100000}, ('Yacht', 4, 5): {0: 100000}, ('Yacht', 4, 6): {0: 100000}, ('Yacht', 4, 7): {0: 100000}, ('Yacht', 4, 8): {0: 100000}, ('Yacht', 5, 0): {0: 100000}, ('Yacht', 5, 1): {0: 100000}, ('Yacht', 5, 2): {0: 98727, 50: 1273}, ('Yacht', 5, 3): {0: 95347, 50: 4653}, ('Yacht', 5, 4): {0: 89969, 50: 10031}, ('Yacht', 5, 5): {0: 83124, 50: 16876}, ('Yacht', 5, 6): {0: 75023, 50: 24977}, ('Yacht', 5, 7): {0: 67007, 50: 32993}, ('Yacht', 5, 8): {0: 58618, 50: 41382}, ('Yacht', 6, 0): {0: 100000}, ('Yacht', 6, 1): {0: 99571, 50: 429}, ('Yacht', 6, 2): {0: 94726, 50: 5274}, ('Yacht', 6, 3): {0: 84366, 50: 15634}, ('Yacht', 6, 4): {0: 70782, 50: 29218}, ('Yacht', 6, 5): {0: 56573, 50: 43427}, ('Yacht', 6, 6): {0: 44206, 50: 55794}, ('Yacht', 6, 7): {0: 33578, 50: 66422}, ('Yacht', 6, 8): {0: 25079, 50: 74921}, ('Yacht', 7, 0): {0: 100000}, ('Yacht', 7, 1): {0: 98833, 50: 1167}, ('Yacht', 7, 2): {0: 87511, 50: 12489}, ('Yacht', 7, 3): {0: 68252, 50: 31748}, ('Yacht', 7, 4): {0: 49065, 50: 50935}, ('Yacht', 7, 5): {0: 33364, 50: 66636}, ('Yacht', 7, 6): {0: 21483, 50: 78517}, ('Yacht', 7, 7): {0: 13597, 50: 86403}, ('Yacht', 7, 8): {0: 8483, 50: 91517}, ('Yacht', 8, 0): {0: 100000}, ('Yacht', 8, 1): {0: 97212, 50: 2788}, ('Yacht', 8, 2): {0: 76962, 50: 23038}, ('Yacht', 8, 3): {0: 50533, 50: 49467}, ('Yacht', 8, 4): {0: 29981, 50: 70019}, ('Yacht', 8, 5): {0: 16776, 50: 83224}, ('Yacht', 8, 6): {0: 9079, 50: 90921}, ('Yacht', 8, 7): {0: 4705, 50: 95295}, ('Yacht', 8, 8): {0: 2363, 50: 97637}, ('Distincts', 1, 1): {1: 100000}, ('Distincts', 1, 2): {1: 100000}, ('Distincts', 1, 3): {1: 100000}, ('Distincts', 1, 4): {1: 100000}, ('Distincts', 1, 5): {1: 100000}, ('Distincts', 1, 6): {1: 100000}, ('Distincts', 1, 7): {1: 100000}, ('Distincts', 1, 8): {1: 100000}, ('Distincts', 2, 1): {1: 16804, 2: 83196}, ('Distincts', 2, 2): {1: 2686, 2: 97314}, ('Distincts', 2, 3): {1: 463, 2: 99537}, ('Distincts', 2, 4): {1: 66, 2: 99934}, ('Distincts', 2, 5): {1: 11, 2: 99989}, ('Distincts', 2, 6): {1: 1, 2: 99999}, ('Distincts', 2, 7): {2: 100000}, ('Distincts', 2, 8): {2: 100000}, ('Distincts', 3, 1): {1: 2760, 2: 41714, 3: 55526}, ('Distincts', 3, 2): {1: 78, 2: 14936, 3: 84986}, ('Distincts', 3, 3): {1: 4866, 3: 95134}, ('Distincts', 3, 4): {2: 1659, 3: 98341}, ('Distincts', 3, 5): {2: 575, 3: 99425}, ('Distincts', 3, 6): {2: 200, 3: 99800}, ('Distincts', 3, 7): {2: 69, 3: 99931}, ('Distincts', 3, 8): {2: 22, 3: 99978}, ('Distincts', 4, 1): {1: 494, 2: 16140, 3: 55471, 4: 27895}, ('Distincts', 4, 2): {1: 1893, 3: 36922, 4: 61185}, ('Distincts', 4, 3): {2: 230, 3: 19631, 4: 80139}, ('Distincts', 4, 4): {2: 21, 3: 9858, 4: 90121}, ('Distincts', 4, 5): {2: 4906, 4: 95094}, ('Distincts', 4, 6): {3: 2494, 4: 97506}, ('Distincts', 4, 7): {3: 1297, 4: 98703}, ('Distincts', 4, 8): {3: 611, 4: 99389}, ('Distincts', 5, 1): {1: 5798, 3: 38538, 4: 46379, 5: 9285}, ('Distincts', 5, 2): {2: 196, 3: 11647, 4: 56472, 5: 31685}, ('Distincts', 5, 3): {2: 3022, 4: 44724, 5: 52254}, ('Distincts', 5, 4): {3: 722, 4: 31632, 5: 67646}, ('Distincts', 5, 5): {3: 215, 4: 21391, 5: 78394}, ('Distincts', 5, 6): {3: 55, 4: 14470, 5: 85475}, ('Distincts', 5, 7): {3: 15, 4: 9645, 5: 90340}, ('Distincts', 5, 8): {3: 6463, 5: 93537}, ('Distincts', 6, 1): {1: 2027, 3: 22985, 4: 50464, 5: 24524}, ('Distincts', 6, 2): {2: 3299, 4: 35174, 5: 52573, 6: 8954}, ('Distincts', 6, 3): {3: 417, 4: 17376, 5: 62578, 6: 19629}, ('Distincts', 6, 4): {3: 44, 4: 7787, 5: 61029, 6: 31140}, ('Distincts', 6, 5): {3: 3699, 5: 54997, 6: 41304}, ('Distincts', 6, 6): {4: 1557, 5: 47225, 6: 51218}, ('Distincts', 6, 7): {4: 728, 5: 40465, 6: 58807}, ('Distincts', 6, 8): {4: 321, 5: 33851, 6: 65828}, ('Distincts', 7, 1): {1: 665, 3: 13006, 4: 44964, 5: 41365}, ('Distincts', 7, 2): {2: 839, 4: 18847, 5: 56731, 6: 23583}, ('Distincts', 7, 3): {3: 6051, 5: 50312, 6: 43637}, ('Distincts', 7, 4): {3: 1796, 5: 38393, 6: 59811}, ('Distincts', 7, 5): {4: 529, 5: 27728, 6: 71743}, ('Distincts', 7, 6): {4: 164, 5: 19417, 6: 80419}, ('Distincts', 7, 7): {4: 53, 5: 13565, 6: 86382}, ('Distincts', 7, 8): {4: 14, 5: 9531, 6: 90455}, ('Distincts', 8, 1): {1: 198, 3: 6939, 4: 36582, 5: 44977, 6: 11304}, ('Distincts', 8, 2): {2: 233, 4: 9181, 5: 50783, 6: 39803}, ('Distincts', 8, 3): {3: 1976, 5: 34748, 6: 63276}, ('Distincts', 8, 4): {4: 389, 5: 21008, 6: 78603}, ('Distincts', 8, 5): {4: 78, 5: 12514, 6: 87408}, ('Distincts', 8, 6): {4: 18, 5: 7159, 6: 92823}, ('Distincts', 8, 7): {4: 4179, 6: 95821}, ('Distincts', 8, 8): {5: 2440, 6: 97560}, ('TwosAndThrees', 1, 1): {0: 66466, 2: 16929, 3: 16605}, ('TwosAndThrees', 1, 2): {0: 55640, 2: 13812, 3: 30548}, ('TwosAndThrees', 1, 3): {0: 46223, 2: 11599, 3: 42178}, ('TwosAndThrees', 1, 4): {0: 38552, 2: 9618, 3: 51830}, ('TwosAndThrees', 1, 5): {0: 32320, 2: 7974, 3: 59706}, ('TwosAndThrees', 1, 6): {0: 26733, 2: 6684, 3: 66583}, ('TwosAndThrees', 1, 7): {0: 22289, 2: 5563, 3: 72148}, ('TwosAndThrees', 1, 8): {0: 18676, 2: 4688, 3: 76636}, ('TwosAndThrees', 2, 1): {0: 44565, 2: 21965, 3: 25172, 5: 8298}, ('TwosAndThrees', 2, 2): {0: 30855, 2: 15480, 3: 35949, 5: 8278, 6: 9438}, ('TwosAndThrees', 2, 3): {0: 21509, 2: 10838, 3: 40340, 5: 9727, 6: 17586}, ('TwosAndThrees', 2, 4): {0: 14935, 2: 7489, 3: 41092, 5: 9825, 6: 26659}, ('TwosAndThrees', 2, 5): {0: 10492, 2: 5169, 3: 39087, 5: 9671, 6: 35581}, ('TwosAndThrees', 2, 6): {0: 7185, 2: 3590, 3: 35936, 5: 8994, 6: 44295}, ('TwosAndThrees', 2, 7): {0: 7375, 3: 32469, 5: 8139, 6: 52017}, ('TwosAndThrees', 2, 8): {0: 5212, 3: 28436, 5: 7294, 6: 59058}, ('TwosAndThrees', 3, 1): {0: 29892, 2: 22136, 3: 27781, 5: 11005, 6: 9186}, ('TwosAndThrees', 3, 2): {0: 17285, 2: 12757, 3: 31500, 5: 14092, 6: 17552, 8: 6814}, ('TwosAndThrees', 3, 3): {0: 9889, 2: 7547, 3: 28958, 5: 13522, 6: 24863, 7: 7881, 9: 7340}, ('TwosAndThrees', 3, 4): {0: 5717, 2: 4245, 3: 24072, 5: 11617, 6: 32865, 8: 7719, 9: 13765}, ('TwosAndThrees', 3, 5): {0: 5795, 3: 19123, 5: 9296, 6: 35708, 8: 8683, 9: 21395}, ('TwosAndThrees', 3, 6): {0: 3273, 3: 14740, 5: 7148, 6: 36387, 8: 8820, 9: 29632}, ('TwosAndThrees', 3, 7): {0: 1917, 3: 16239, 6: 35604, 8: 8739, 9: 37501}, ('TwosAndThrees', 3, 8): {0: 1124, 3: 12222, 6: 33537, 8: 8018, 9: 45099}, ('TwosAndThrees', 4, 1): {0: 19619, 2: 19764, 3: 19811, 4: 7306, 5: 14893, 6: 8721, 7: 9886}, ('TwosAndThrees', 4, 2): {0: 9395, 2: 9519, 3: 24407, 5: 15873, 6: 21959, 8: 8667, 9: 10180}, ('TwosAndThrees', 4, 3): {0: 4538, 2: 4676, 3: 18292, 5: 12541, 6: 26350, 8: 11445, 9: 15471, 11: 6687}, ('TwosAndThrees', 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 21496, 10: 6859, 12: 7183}, ('TwosAndThrees', 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 29121, 11: 6926, 12: 12776}, ('TwosAndThrees', 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 32849, 11: 7894, 12: 19495}, ('TwosAndThrees', 4, 7): {0: 224, 2: 6086, 6: 16140, 8: 7881, 9: 34297, 11: 8601, 12: 26771}, ('TwosAndThrees', 4, 8): {0: 123, 2: 3571, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, ('TwosAndThrees', 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, ('TwosAndThrees', 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, ('TwosAndThrees', 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, ('TwosAndThrees', 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 15422, 14: 7246}, ('TwosAndThrees', 5, 5): {0: 781, 3: 6624, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 20783, 13: 6512, 15: 7632}, ('TwosAndThrees', 5, 6): {0: 123, 2: 3622, 6: 9065, 8: 6610, 9: 22902, 11: 10593, 12: 27521, 14: 6551, 15: 13013}, ('TwosAndThrees', 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 31332, 14: 7512, 15: 19396}, ('TwosAndThrees', 5, 8): {0: 986, 6: 6740, 9: 16186, 11: 7771, 12: 33474, 14: 7963, 15: 26880}, ('TwosAndThrees', 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 13500, 10: 7359}, ('TwosAndThrees', 6, 2): {0: 2944, 2: 4382, 3: 12512, 5: 11978, 6: 20178, 8: 13344, 9: 16448, 11: 7676, 12: 10538}, ('TwosAndThrees', 6, 3): {0: 977, 2: 7869, 5: 6758, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, ('TwosAndThrees', 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, ('TwosAndThrees', 6, 5): {0: 1610, 5: 7206, 7: 6521, 9: 16495, 11: 10563, 12: 23042, 14: 10049, 15: 16281, 17: 8233}, ('TwosAndThrees', 6, 6): {0: 1362, 6: 7145, 9: 12670, 11: 8492, 12: 23467, 14: 10649, 15: 21066, 16: 6581, 18: 8568}, ('TwosAndThrees', 6, 7): {0: 14, 2: 4631, 9: 8281, 10: 6929, 12: 21906, 14: 10107, 15: 27360, 17: 6654, 18: 14118}, ('TwosAndThrees', 6, 8): {0: 2367, 9: 10679, 12: 18916, 14: 8991, 15: 31012, 17: 7602, 18: 20433}, ('TwosAndThrees', 7, 1): {0: 5802, 2: 10380, 3: 10100, 4: 7689, 5: 15384, 6: 11027, 7: 9559, 8: 10304, 9: 11306, 11: 8449}, ('TwosAndThrees', 7, 2): {0: 4415, 3: 8457, 5: 9442, 6: 17093, 8: 13172, 9: 18066, 11: 9919, 12: 10454, 14: 8982}, ('TwosAndThrees', 7, 3): {0: 1263, 3: 7779, 6: 10929, 8: 10013, 9: 18045, 11: 12133, 12: 16767, 14: 8279, 15: 6674, 16: 8118}, ('TwosAndThrees', 7, 4): {0: 1713, 5: 6723, 7: 7190, 9: 14001, 11: 11007, 12: 19307, 14: 10700, 15: 12396, 16: 8577, 18: 8386}, ('TwosAndThrees', 7, 5): {0: 621, 5: 6879, 9: 9808, 11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, ('TwosAndThrees', 7, 6): {0: 9, 2: 3545, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, ('TwosAndThrees', 7, 7): {0: 1582, 9: 6971, 12: 11911, 14: 7969, 15: 22333, 17: 10123, 18: 22122, 19: 6876, 21: 10113}, ('TwosAndThrees', 7, 8): {0: 31, 5: 4682, 12: 7854, 13: 6592, 15: 20934, 17: 9621, 18: 27839, 20: 6667, 21: 15780}, ('TwosAndThrees', 8, 1): {0: 3799, 2: 7917, 3: 7840, 4: 6794, 5: 13610, 6: 10144, 7: 10309, 8: 11477, 9: 7504, 10: 11990, 12: 8616}, ('TwosAndThrees', 8, 2): {0: 902, 2: 7460, 5: 6900, 6: 13750, 8: 11961, 9: 10605, 10: 7327, 11: 11041, 12: 8197, 13: 11532, 15: 10325}, ('TwosAndThrees', 8, 3): {0: 201, 2: 5037, 6: 7036, 8: 7389, 9: 14414, 11: 11338, 12: 17189, 14: 10523, 15: 8898, 16: 9521, 18: 8454}, ('TwosAndThrees', 8, 4): {0: 1617, 6: 6867, 9: 9271, 11: 8286, 12: 16078, 14: 11359, 15: 17352, 17: 9133, 18: 10960, 20: 9077}, ('TwosAndThrees', 8, 5): {0: 16, 2: 3585, 9: 10269, 12: 12458, 14: 9578, 15: 18439, 17: 10743, 18: 16800, 20: 6621, 21: 11491}, ('TwosAndThrees', 8, 6): {0: 170, 6: 6891, 12: 8548, 14: 7037, 15: 16817, 17: 10618, 18: 20331, 20: 8749, 21: 13840, 23: 6999}, ('TwosAndThrees', 8, 7): {0: 1, 2: 3335, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 24071, 24: 7305}, ('TwosAndThrees', 8, 8): {3: 795, 11: 6938, 15: 10708, 17: 7289, 18: 21517, 20: 10020, 21: 23586, 22: 7035, 24: 12112}, ('SumOfOdds', 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, ('SumOfOdds', 1, 2): {0: 33472, 1: 11017, 3: 27886, 5: 27625}, ('SumOfOdds', 1, 3): {0: 27892, 1: 9293, 3: 23006, 5: 39809}, ('SumOfOdds', 1, 4): {0: 23060, 1: 7857, 3: 19299, 5: 49784}, ('SumOfOdds', 1, 5): {0: 19333, 1: 6559, 3: 15941, 5: 58167}, ('SumOfOdds', 1, 6): {0: 21678, 3: 13224, 5: 65098}, ('SumOfOdds', 1, 7): {0: 17840, 3: 11191, 5: 70969}, ('SumOfOdds', 1, 8): {0: 14690, 3: 9361, 5: 75949}, ('SumOfOdds', 2, 1): {0: 24611, 1: 19615, 3: 22234, 5: 16856, 6: 8312, 8: 8372}, ('SumOfOdds', 2, 2): {0: 11216, 1: 8605, 3: 24576, 5: 18558, 6: 13858, 8: 15414, 10: 7773}, ('SumOfOdds', 2, 3): {0: 13730, 3: 17055, 5: 22224, 6: 12709, 8: 18363, 10: 15919}, ('SumOfOdds', 2, 4): {0: 9599, 3: 11842, 5: 23132, 6: 11358, 8: 19129, 10: 24940}, ('SumOfOdds', 2, 5): {0: 6652, 3: 8296, 5: 22529, 6: 10020, 8: 18712, 10: 33791}, ('SumOfOdds', 2, 6): {0: 2606, 1: 7798, 5: 20970, 6: 8852, 8: 17272, 10: 42502}, ('SumOfOdds', 2, 7): {0: 7262, 5: 19160, 6: 7664, 8: 15860, 10: 50054}, ('SumOfOdds', 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618}, ('SumOfOdds', 3, 1): {0: 12467, 1: 16736, 3: 12861, 4: 8109, 5: 13902, 6: 15350, 8: 11660, 10: 8915}, ('SumOfOdds', 3, 2): {0: 8635, 3: 15579, 5: 10240, 6: 17409, 8: 15592, 9: 7284, 10: 7709, 11: 9070, 13: 8482}, ('SumOfOdds', 3, 3): {0: 5022, 3: 9030, 5: 9729, 6: 13308, 8: 21631, 10: 13273, 11: 10759, 13: 11044, 15: 6204}, ('SumOfOdds', 3, 4): {0: 1265, 1: 6995, 5: 8380, 6: 9575, 8: 18530, 10: 17343, 11: 11288, 13: 14216, 15: 12408}, ('SumOfOdds', 3, 5): {0: 4685, 5: 6682, 6: 7181, 8: 14915, 10: 19378, 11: 10985, 13: 16370, 15: 19804}, ('SumOfOdds', 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 20496, 11: 10472, 13: 17133, 15: 27548}, ('SumOfOdds', 3, 7): {0: 1481, 5: 7510, 8: 8659, 10: 20125, 11: 9495, 13: 16763, 15: 35967}, ('SumOfOdds', 3, 8): {0: 5934, 7: 6737, 10: 19242, 11: 8430, 13: 16221, 15: 43436}, ('SumOfOdds', 4, 1): {0: 6192, 1: 12678, 3: 9225, 4: 8433, 5: 11215, 6: 18550, 8: 15591, 10: 10624, 12: 7492}, ('SumOfOdds', 4, 2): {0: 1267, 1: 6707, 4: 9562, 6: 14395, 8: 11060, 9: 9721, 10: 7201, 11: 15953, 13: 8342, 14: 8226, 16: 7566}, ('SumOfOdds', 4, 3): {0: 1778, 3: 8154, 6: 8780, 8: 9018, 9: 7238, 10: 8843, 11: 15464, 13: 18030, 15: 7108, 16: 7373, 18: 8214}, ('SumOfOdds', 4, 4): {0: 2774, 5: 7977, 8: 11182, 10: 8758, 11: 13239, 13: 19483, 15: 11453, 16: 9426, 18: 9512, 20: 6196}, ('SumOfOdds', 4, 5): {0: 6619, 8: 7280, 10: 8159, 11: 10515, 13: 17578, 15: 15171, 16: 10401, 18: 12704, 20: 11573}, ('SumOfOdds', 4, 6): {0: 1748, 6: 6729, 10: 7130, 11: 8103, 13: 15290, 15: 17784, 16: 10571, 18: 14865, 20: 17780}, ('SumOfOdds', 4, 7): {0: 5048, 10: 11824, 13: 12343, 15: 19254, 16: 10290, 18: 15947, 20: 25294}, ('SumOfOdds', 4, 8): {0: 3060, 10: 8747, 13: 9912, 15: 19503, 16: 9512, 18: 16250, 20: 33016}, ('SumOfOdds', 5, 1): {0: 8257, 2: 9820, 4: 7062, 5: 8737, 6: 11185, 7: 7013, 8: 8879, 9: 14795, 11: 7319, 12: 7825, 14: 9108}, ('SumOfOdds', 5, 2): {0: 1599, 3: 7043, 6: 9517, 8: 6951, 9: 14666, 11: 10285, 12: 6880, 13: 8344, 14: 13337, 16: 7538, 17: 7051, 19: 6789}, ('SumOfOdds', 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 13: 9355, 14: 8325, 15: 6633, 16: 13969, 18: 12915, 20: 7968, 23: 3939}, ('SumOfOdds', 5, 4): {0: 246, 3: 6652, 9: 6971, 11: 9124, 13: 8276, 14: 6799, 15: 8218, 16: 13970, 18: 16440, 20: 7264, 21: 7049, 23: 8991}, ('SumOfOdds', 5, 5): {0: 4997, 10: 9128, 13: 11376, 15: 8283, 16: 12576, 18: 17548, 20: 11138, 21: 8982, 23: 9242, 25: 6730}, ('SumOfOdds', 5, 6): {0: 1746, 9: 6811, 13: 8013, 15: 7862, 16: 10647, 18: 16866, 20: 14372, 21: 9884, 23: 11945, 25: 11854}, ('SumOfOdds', 5, 7): {0: 2634, 11: 8007, 15: 6797, 16: 8325, 18: 14878, 20: 17146, 21: 10043, 23: 14100, 25: 18070}, ('SumOfOdds', 5, 8): {0: 95, 6: 6529, 15: 12097, 18: 12454, 20: 18491, 21: 9907, 23: 15254, 25: 25173}, ('SumOfOdds', 6, 1): {0: 7410, 3: 9799, 5: 6613, 6: 9118, 7: 7139, 8: 8145, 9: 8689, 10: 7075, 11: 8130, 12: 10756, 14: 7910, 16: 9216}, ('SumOfOdds', 6, 2): {0: 153, 1: 6753, 7: 6763, 9: 10513, 11: 7613, 12: 6840, 13: 7405, 14: 15279, 16: 8370, 17: 11320, 19: 8667, 21: 10324}, ('SumOfOdds', 6, 3): {0: 1606, 6: 7336, 10: 7969, 12: 10094, 14: 13221, 16: 14647, 18: 7891, 19: 12673, 21: 7711, 22: 7652, 24: 9200}, ('SumOfOdds', 6, 4): {0: 5771, 11: 9419, 14: 9943, 16: 12296, 18: 8483, 19: 7579, 20: 6653, 21: 12847, 23: 12798, 25: 9237, 28: 4974}, ('SumOfOdds', 6, 5): {0: 1626, 10: 6554, 14: 6940, 16: 9081, 18: 13910, 20: 7845, 21: 13179, 23: 15752, 25: 7754, 26: 7087, 28: 6388, 30: 3884}, ('SumOfOdds', 6, 6): {0: 5968, 15: 8985, 18: 10935, 20: 7981, 21: 12052, 23: 16882, 25: 11411, 26: 8543, 28: 9447, 30: 7796}, ('SumOfOdds', 6, 7): {0: 2314, 14: 7046, 18: 7891, 20: 7612, 21: 10285, 23: 16141, 25: 14467, 26: 9526, 28: 12043, 30: 12675}, ('SumOfOdds', 6, 8): {0: 2954, 16: 7951, 20: 6522, 21: 8203, 23: 14396, 25: 16723, 26: 10048, 28: 13964, 30: 19239}, ('SumOfOdds', 7, 1): {0: 7118, 4: 8884, 6: 6784, 7: 6543, 8: 7190, 9: 8090, 10: 7566, 11: 8138, 12: 12835, 14: 10729, 16: 7321, 18: 8802}, ('SumOfOdds', 7, 2): {0: 3167, 7: 7213, 10: 8389, 12: 11166, 14: 13742, 16: 7542, 17: 13594, 19: 7499, 20: 10496, 22: 7447, 24: 9745}, ('SumOfOdds', 7, 3): {0: 5630, 11: 9052, 14: 9360, 16: 12256, 18: 6591, 19: 13562, 21: 7920, 22: 11341, 24: 9551, 26: 7162, 28: 7575}, ('SumOfOdds', 7, 4): {0: 2220, 11: 7265, 15: 7277, 17: 8988, 19: 11926, 21: 13334, 23: 7672, 24: 12685, 26: 10835, 28: 9199, 30: 8599}, ('SumOfOdds', 7, 5): {0: 5935, 16: 8874, 19: 9145, 21: 11223, 23: 7919, 24: 7133, 25: 7033, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('SumOfOdds', 7, 6): {2: 5799, 18: 8867, 21: 8424, 23: 12902, 25: 7570, 26: 12513, 28: 15893, 30: 8537, 31: 7294, 33: 7232, 35: 4969}, ('SumOfOdds', 7, 7): {4: 6004, 20: 8618, 23: 10174, 25: 7651, 26: 11473, 28: 16014, 30: 11962, 31: 8823, 33: 10174, 35: 9107}, ('SumOfOdds', 7, 8): {0: 1, 6: 2365, 19: 6646, 23: 7527, 25: 7288, 26: 9647, 28: 15608, 30: 14871, 31: 9462, 33: 12445, 35: 14140}, ('SumOfOdds', 8, 1): {0: 378, 1: 6791, 5: 8633, 7: 11129, 9: 7107, 10: 6937, 11: 7580, 12: 7278, 13: 6521, 14: 12474, 16: 9800, 18: 6552, 20: 8820}, ('SumOfOdds', 8, 2): {0: 797, 6: 6948, 11: 6794, 13: 9599, 15: 11601, 17: 13076, 19: 7293, 20: 12487, 22: 10815, 24: 11552, 27: 9038}, ('SumOfOdds', 8, 3): {0: 2561, 11: 7695, 15: 7099, 17: 9139, 19: 11547, 21: 6969, 22: 12519, 24: 7157, 25: 11327, 27: 8869, 29: 6641, 31: 8477}, ('SumOfOdds', 8, 4): {1: 2741, 14: 7296, 18: 7355, 20: 9629, 22: 10789, 24: 12431, 26: 7943, 27: 11603, 29: 10400, 31: 12399, 34: 7414}, ('SumOfOdds', 8, 5): {1: 3, 3: 6210, 19: 8804, 22: 8054, 24: 10449, 26: 12536, 28: 7567, 29: 12781, 31: 11341, 33: 10541, 35: 7462, 38: 4252}, ('SumOfOdds', 8, 6): {4: 5763, 21: 7702, 24: 8128, 26: 10005, 28: 7465, 29: 6546, 30: 7060, 31: 12383, 33: 14068, 35: 12408, 38: 8472}, ('SumOfOdds', 8, 7): {6: 5301, 23: 8027, 26: 7391, 28: 11956, 30: 7550, 31: 12181, 33: 15650, 35: 9851, 36: 7726, 38: 8073, 40: 6294}, ('SumOfOdds', 8, 8): {4: 1, 8: 5554, 25: 7637, 28: 9115, 30: 7469, 31: 10714, 33: 16060, 35: 12876, 36: 8889, 38: 10622, 40: 11063}, ('SumOfEvens', 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, ('SumOfEvens', 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, ('SumOfEvens', 1, 3): {0: 22259, 2: 7317, 4: 35040, 6: 35384}, ('SumOfEvens', 1, 4): {0: 18511, 2: 6233, 4: 29418, 6: 45838}, ('SumOfEvens', 1, 5): {0: 15428, 2: 5146, 4: 24510, 6: 54916}, ('SumOfEvens', 1, 6): {0: 12927, 2: 4255, 4: 20115, 6: 62703}, ('SumOfEvens', 1, 7): {0: 10650, 2: 3502, 4: 17087, 6: 68761}, ('SumOfEvens', 1, 8): {0: 11920, 4: 14227, 6: 73853}, ('SumOfEvens', 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 8: 8263, 10: 8438}, ('SumOfEvens', 2, 2): {0: 11179, 2: 7503, 4: 19661, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, ('SumOfEvens', 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, ('SumOfEvens', 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, ('SumOfEvens', 2, 5): {0: 3991, 4: 7910, 6: 19247, 8: 11641, 10: 26842, 12: 30369}, ('SumOfEvens', 2, 6): {0: 2741, 4: 5313, 6: 17810, 8: 9468, 10: 25582, 12: 39086}, ('SumOfEvens', 2, 7): {0: 1905, 4: 3790, 6: 15965, 8: 7645, 10: 23307, 12: 47388}, ('SumOfEvens', 2, 8): {0: 3950, 6: 14006, 8: 6462, 10: 20879, 12: 54703}, ('SumOfEvens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 12: 7524, 14: 4668}, ('SumOfEvens', 3, 2): {0: 3666, 2: 3738, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 14: 8937, 16: 8548}, ('SumOfEvens', 3, 3): {0: 2176, 4: 5572, 6: 8576, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 12864, 18: 4316}, ('SumOfEvens', 3, 4): {0: 642, 2: 3914, 6: 6844, 8: 8218, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('SumOfEvens', 3, 5): {0: 2575, 6: 5105, 8: 5720, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, ('SumOfEvens', 3, 6): {0: 1475, 6: 3732, 8: 3796, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, ('SumOfEvens', 3, 7): {0: 862, 6: 5321, 10: 8145, 12: 18146, 14: 10985, 16: 24254, 18: 32287}, ('SumOfEvens', 3, 8): {0: 494, 6: 3730, 10: 5777, 12: 16926, 14: 9402, 16: 23114, 18: 40557}, ('SumOfEvens', 4, 1): {0: 6214, 2: 8516, 4: 12405, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 14: 6828, 16: 4295, 18: 3369}, ('SumOfEvens', 4, 2): {0: 2868, 4: 4894, 6: 8468, 8: 10702, 10: 15154, 12: 15715, 14: 14104, 16: 12485, 18: 8084, 20: 7526}, ('SumOfEvens', 4, 3): {0: 573, 4: 4781, 8: 5715, 10: 10269, 12: 12879, 14: 16224, 16: 17484, 18: 13847, 20: 10518, 22: 7710}, ('SumOfEvens', 4, 4): {0: 1119, 6: 5124, 10: 7096, 12: 10298, 14: 12763, 16: 17947, 18: 16566, 20: 13338, 22: 11215, 24: 4534}, ('SumOfEvens', 4, 5): {0: 136, 4: 3341, 10: 4716, 12: 8022, 14: 9638, 16: 16546, 18: 18045, 20: 14172, 22: 16111, 24: 9273}, ('SumOfEvens', 4, 6): {0: 991, 8: 4039, 12: 6097, 14: 7068, 16: 14021, 18: 18805, 20: 13848, 22: 20013, 24: 15118}, ('SumOfEvens', 4, 7): {0: 2931, 12: 4654, 14: 4930, 16: 11590, 18: 18952, 20: 12601, 22: 21947, 24: 22395}, ('SumOfEvens', 4, 8): {0: 1798, 12: 3395, 14: 3386, 16: 8943, 18: 18203, 20: 11505, 22: 23056, 24: 29714}, ('SumOfEvens', 5, 1): {0: 3192, 2: 5181, 4: 8648, 6: 13373, 8: 13964, 10: 14656, 12: 13468, 14: 10245, 16: 7574, 18: 4873, 20: 4826}, ('SumOfEvens', 5, 2): {0: 3217, 6: 4054, 8: 6336, 10: 9910, 12: 12184, 14: 13824, 16: 14674, 18: 12124, 20: 9742, 22: 6877, 24: 7058}, ('SumOfEvens', 5, 3): {0: 650, 6: 3254, 10: 4446, 12: 6558, 14: 10339, 16: 13128, 18: 14686, 20: 15282, 22: 13294, 24: 9361, 26: 9002}, ('SumOfEvens', 5, 4): {0: 736, 8: 3332, 12: 4093, 14: 6555, 16: 10437, 18: 12724, 20: 14710, 22: 16005, 24: 12896, 26: 9761, 28: 8751}, ('SumOfEvens', 5, 5): {0: 814, 10: 3928, 14: 4006, 16: 7635, 18: 10297, 20: 12344, 22: 16826, 24: 15490, 26: 12235, 28: 11323, 30: 5102}, ('SumOfEvens', 5, 6): {0: 1045, 12: 3999, 16: 5274, 18: 8224, 20: 9688, 22: 16041, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, ('SumOfEvens', 5, 7): {0: 2951, 16: 3465, 18: 6367, 20: 7478, 22: 13863, 24: 18114, 26: 13349, 28: 19048, 30: 15365}, ('SumOfEvens', 5, 8): {0: 249, 12: 3505, 18: 4912, 20: 5406, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, ('SumOfEvens', 6, 1): {0: 4767, 4: 5715, 6: 9535, 8: 11527, 10: 13220, 12: 13855, 14: 12217, 16: 10036, 18: 7641, 20: 5155, 22: 6332}, ('SumOfEvens', 6, 2): {0: 3379, 8: 3286, 10: 5781, 12: 8107, 14: 10495, 16: 12112, 18: 12962, 20: 12458, 22: 10842, 24: 8362, 26: 5714, 28: 6502}, ('SumOfEvens', 6, 3): {0: 1230, 10: 4741, 14: 5066, 16: 7714, 18: 10098, 20: 12628, 22: 13809, 24: 13594, 26: 11930, 28: 8967, 30: 5778, 32: 4445}, ('SumOfEvens', 6, 4): {0: 1235, 12: 4092, 16: 4678, 18: 6764, 20: 9551, 22: 12530, 24: 13471, 26: 13991, 28: 12906, 30: 9662, 32: 6534, 34: 4586}, ('SumOfEvens', 6, 5): {0: 1241, 14: 4118, 18: 4392, 20: 6604, 22: 9916, 24: 11810, 26: 13874, 28: 15232, 30: 12927, 32: 9788, 34: 10098}, ('SumOfEvens', 6, 6): {0: 1224, 16: 4254, 20: 4214, 22: 7418, 24: 9870, 26: 11838, 28: 15982, 30: 15534, 32: 12014, 34: 11679, 36: 5973}, ('SumOfEvens', 6, 7): {4: 1437, 18: 4249, 22: 5154, 24: 8221, 26: 9426, 28: 15301, 30: 17083, 32: 13001, 34: 15604, 36: 10524}, ('SumOfEvens', 6, 8): {4: 3207, 22: 3449, 24: 6361, 26: 7209, 28: 13662, 30: 18101, 32: 12842, 34: 18840, 36: 16329}, ('SumOfEvens', 7, 1): {0: 2584, 4: 3653, 6: 6451, 8: 8939, 10: 11183, 12: 12690, 14: 12463, 16: 11578, 18: 9725, 20: 7614, 22: 5306, 24: 3564, 26: 4250}, ('SumOfEvens', 7, 2): {0: 1433, 8: 4651, 12: 4933, 14: 7121, 16: 9103, 18: 10694, 20: 11747, 22: 12101, 24: 10947, 26: 9407, 28: 7140, 30: 4969, 32: 5754}, ('SumOfEvens', 7, 3): {0: 957, 12: 3394, 16: 3620, 18: 5753, 20: 8013, 22: 10305, 24: 12043, 26: 13153, 28: 12644, 30: 10884, 32: 8457, 34: 5494, 36: 5283}, ('SumOfEvens', 7, 4): {0: 1762, 16: 4828, 20: 4695, 22: 6948, 24: 9234, 26: 11605, 28: 12907, 30: 13018, 32: 11907, 34: 10022, 36: 6630, 38: 6444}, ('SumOfEvens', 7, 5): {4: 1630, 18: 4069, 22: 4347, 24: 6303, 26: 8816, 28: 11561, 30: 12713, 32: 13273, 34: 13412, 36: 10366, 38: 7212, 40: 6298}, ('SumOfEvens', 7, 6): {4: 1436, 20: 4042, 24: 4176, 26: 6057, 28: 9389, 30: 11291, 32: 12798, 34: 15385, 36: 13346, 38: 10011, 40: 8464, 42: 3605}, ('SumOfEvens', 7, 7): {6: 1304, 22: 4182, 26: 3913, 28: 7007, 30: 9525, 32: 11106, 34: 15613, 36: 15702, 38: 12021, 40: 12478, 42: 7149}, ('SumOfEvens', 7, 8): {10: 1490, 24: 4104, 28: 5058, 30: 7669, 32: 9076, 34: 14812, 36: 16970, 38: 12599, 40: 16137, 42: 12085}, ('SumOfEvens', 8, 1): {0: 373, 2: 3336, 6: 4344, 8: 6532, 10: 8598, 12: 10648, 14: 11696, 16: 11862, 18: 11145, 20: 9463, 22: 7414, 24: 5501, 26: 3771, 28: 5317}, ('SumOfEvens', 8, 2): {0: 1361, 10: 4297, 14: 4098, 16: 6135, 18: 7865, 20: 9772, 22: 10922, 24: 11148, 26: 10879, 28: 9711, 30: 8043, 32: 6058, 34: 4215, 36: 5496}, ('SumOfEvens', 8, 3): {2: 1601, 16: 4246, 20: 4428, 22: 6221, 24: 8306, 26: 10158, 28: 11561, 30: 12249, 32: 11747, 34: 10070, 36: 7860, 38: 5627, 40: 5926}, ('SumOfEvens', 8, 4): {0: 558, 16: 3763, 22: 3304, 24: 4882, 26: 6864, 28: 9047, 30: 10811, 32: 12344, 34: 12243, 36: 11307, 38: 9623, 40: 7009, 42: 4569, 44: 3676}, ('SumOfEvens', 8, 5): {4: 1798, 22: 4366, 26: 4229, 28: 6229, 30: 8178, 32: 10485, 34: 12180, 36: 12458, 38: 12260, 40: 10958, 42: 7933, 44: 5192, 46: 3734}, ('SumOfEvens', 8, 6): {6: 1453, 24: 3831, 28: 3916, 30: 5727, 32: 7846, 34: 10367, 36: 12064, 38: 12862, 40: 13920, 42: 11359, 44: 8361, 46: 8294}, ('SumOfEvens', 8, 7): {8: 1424, 26: 3618, 30: 3778, 32: 5303, 34: 8619, 36: 10651, 38: 12089, 40: 14999, 42: 13899, 44: 10574, 46: 10004, 48: 5042}, ('SumOfEvens', 8, 8): {10: 1226, 28: 3779, 32: 3565, 34: 6358, 36: 8996, 38: 10354, 40: 14996, 42: 16214, 44: 11803, 46: 13670, 48: 9039}, ('DoubleThreesAndFours', 1, 1): {0: 66749, 6: 16591, 8: 16660}, ('DoubleThreesAndFours', 1, 2): {0: 44675, 6: 27694, 8: 27631}, ('DoubleThreesAndFours', 1, 3): {0: 29592, 6: 35261, 8: 35147}, ('DoubleThreesAndFours', 1, 4): {0: 24601, 6: 29406, 8: 45993}, ('DoubleThreesAndFours', 1, 5): {0: 20499, 6: 24420, 8: 55081}, ('DoubleThreesAndFours', 1, 6): {0: 17116, 6: 20227, 8: 62657}, ('DoubleThreesAndFours', 1, 7): {0: 14193, 6: 17060, 8: 68747}, ('DoubleThreesAndFours', 1, 8): {0: 11977, 6: 13924, 8: 74099}, ('DoubleThreesAndFours', 2, 1): {0: 44382, 6: 22191, 8: 22251, 12: 2892, 14: 8284}, ('DoubleThreesAndFours', 2, 2): {0: 19720, 6: 24652, 8: 24891, 12: 7693, 14: 15403, 16: 7641}, ('DoubleThreesAndFours', 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376}, ('DoubleThreesAndFours', 2, 4): {0: 6164, 6: 14466, 8: 22828, 12: 8471, 14: 26935, 16: 21136}, ('DoubleThreesAndFours', 2, 5): {0: 4307, 6: 10005, 8: 22620, 12: 6057, 14: 26822, 16: 30189}, ('DoubleThreesAndFours', 2, 6): {0: 2879, 6: 7047, 8: 21466, 12: 4204, 14: 25326, 16: 39078}, ('DoubleThreesAndFours', 2, 7): {0: 2042, 6: 4637, 8: 19698, 12: 2846, 14: 23404, 16: 47373}, ('DoubleThreesAndFours', 2, 8): {0: 1385, 6: 3373, 8: 17795, 12: 1998, 14: 20907, 16: 54542}, ('DoubleThreesAndFours', 3, 1): {0: 29378, 6: 22335, 8: 22138, 12: 5551, 14: 11232, 16: 6113, 20: 3253}, ('DoubleThreesAndFours', 3, 2): {0: 8894, 6: 16518, 8: 16277, 12: 10334, 14: 20757, 16: 12265, 20: 6399, 22: 8556}, ('DoubleThreesAndFours', 3, 3): {0: 2643, 6: 9270, 8: 9252, 12: 11066, 14: 21922, 16: 11045, 18: 4335, 20: 12900, 22: 13101, 24: 4466}, ('DoubleThreesAndFours', 3, 4): {0: 1523, 6: 5443, 8: 8330, 12: 6223, 14: 20310, 16: 18276, 20: 11695, 22: 18521, 24: 9679}, ('DoubleThreesAndFours', 3, 5): {0: 845, 6: 3180, 8: 7038, 12: 3700, 14: 16545, 16: 20293, 20: 9740, 22: 22168, 24: 16491}, ('DoubleThreesAndFours', 3, 6): {0: 499, 6: 1774, 8: 5456, 12: 2033, 14: 12995, 16: 20914, 20: 7959, 22: 23876, 24: 24494}, ('DoubleThreesAndFours', 3, 7): {0: 1298, 8: 5434, 14: 9997, 16: 20598, 20: 5970, 22: 24010, 24: 32693}, ('DoubleThreesAndFours', 3, 8): {0: 776, 8: 3765, 14: 7514, 16: 19905, 20: 4456, 22: 23158, 24: 40426}, ('DoubleThreesAndFours', 4, 1): {0: 19809, 6: 19538, 8: 19765, 12: 7513, 14: 14835, 16: 8616, 20: 3787, 22: 6137}, ('DoubleThreesAndFours', 4, 2): {0: 3972, 6: 9759, 8: 9681, 12: 9152, 14: 18494, 16: 9182, 18: 3796, 20: 11442, 22: 11245, 24: 6728, 28: 6549}, ('DoubleThreesAndFours', 4, 3): {0: 745, 6: 3580, 8: 3629, 12: 6446, 14: 12957, 16: 6563, 18: 5181, 20: 15371, 22: 15441, 24: 6812, 26: 6250, 28: 9263, 30: 7762}, ('DoubleThreesAndFours', 4, 4): {0: 371, 6: 4491, 12: 3063, 14: 10057, 16: 10176, 20: 11583, 22: 18508, 24: 10280, 26: 4741, 28: 10883, 30: 11372, 32: 4475}, ('DoubleThreesAndFours', 4, 5): {0: 990, 8: 3424, 14: 6844, 16: 8952, 20: 8048, 22: 18097, 24: 17306, 28: 10930, 30: 16244, 32: 9165}, ('DoubleThreesAndFours', 4, 6): {0: 79, 6: 2446, 14: 4451, 16: 7542, 20: 5399, 22: 16364, 24: 18861, 28: 9736, 30: 19782, 32: 15340}, ('DoubleThreesAndFours', 4, 7): {0: 1042, 12: 3256, 16: 5909, 20: 3378, 22: 13634, 24: 20162, 28: 8204, 30: 22055, 32: 22360}, ('DoubleThreesAndFours', 4, 8): {0: 572, 12: 1938, 16: 6901, 22: 10960, 24: 20269, 28: 6551, 30: 22891, 32: 29918}, ('DoubleThreesAndFours', 5, 1): {0: 13122, 6: 16411, 8: 16451, 12: 8304, 14: 16464, 16: 10392, 20: 6145, 22: 6092, 24: 3317, 28: 3302}, ('DoubleThreesAndFours', 5, 2): {0: 1676, 6: 5469, 8: 5318, 12: 6656, 14: 13562, 16: 6786, 18: 4316, 20: 12668, 22: 12832, 24: 5636, 26: 5358, 28: 7847, 30: 7543, 34: 4333}, ('DoubleThreesAndFours', 5, 3): {0: 223, 6: 2722, 12: 3259, 14: 6384, 16: 3268, 18: 3897, 20: 11385, 22: 11613, 24: 6096, 26: 9086, 28: 13665, 30: 9486, 32: 4914, 34: 5404, 36: 5338, 38: 3260}, ('DoubleThreesAndFours', 5, 4): {0: 95, 6: 2712, 14: 4130, 16: 4732, 20: 7322, 22: 11374, 24: 6778, 26: 5595, 28: 13488, 30: 14319, 32: 7169, 34: 5245, 36: 8341, 38: 8700}, ('DoubleThreesAndFours', 5, 5): {0: 38, 6: 1295, 14: 5458, 20: 4128, 22: 9485, 24: 7483, 26: 3289, 28: 11201, 30: 16810, 32: 10248, 34: 4446, 36: 9980, 38: 11129, 40: 5010}, ('DoubleThreesAndFours', 5, 6): 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('MicroStraight', 3, 4): {0: 2127, 10: 97873}, ('MicroStraight', 3, 5): {0: 744, 10: 99256}, ('MicroStraight', 3, 6): {0: 260, 10: 99740}, ('MicroStraight', 3, 7): {0: 115, 10: 99885}, ('MicroStraight', 3, 8): {0: 34, 10: 99966}, ('MicroStraight', 4, 1): {0: 22307, 10: 77693}, ('MicroStraight', 4, 2): {0: 4420, 10: 95580}, ('MicroStraight', 4, 3): {0: 806, 10: 99194}, ('MicroStraight', 4, 4): {0: 205, 10: 99795}, ('MicroStraight', 4, 5): {0: 20, 10: 99980}, ('MicroStraight', 4, 6): {0: 5, 10: 99995}, ('MicroStraight', 4, 7): {0: 1, 10: 99999}, ('MicroStraight', 4, 8): {0: 1, 10: 99999}, ('MicroStraight', 5, 1): {0: 11685, 10: 88315}, ('MicroStraight', 5, 2): {0: 1141, 10: 98859}, ('MicroStraight', 5, 3): {0: 119, 10: 99881}, ('MicroStraight', 5, 4): {0: 11, 10: 99989}, ('MicroStraight', 5, 5): {0: 1, 10: 99999}, ('MicroStraight', 5, 6): {10: 100000}, ('MicroStraight', 5, 7): {10: 100000}, ('MicroStraight', 5, 8): {10: 100000}, ('MicroStraight', 6, 1): {0: 5937, 10: 94063}, ('MicroStraight', 6, 2): {0: 307, 10: 99693}, ('MicroStraight', 6, 3): {0: 9, 10: 99991}, ('MicroStraight', 6, 4): {0: 1, 10: 99999}, ('MicroStraight', 6, 5): {10: 100000}, ('MicroStraight', 6, 6): {10: 100000}, ('MicroStraight', 6, 7): {10: 100000}, ('MicroStraight', 6, 8): {10: 100000}, ('MicroStraight', 7, 1): {0: 3072, 10: 96928}, ('MicroStraight', 7, 2): {0: 85, 10: 99915}, ('MicroStraight', 7, 3): {0: 2, 10: 99998}, ('MicroStraight', 7, 4): {10: 100000}, ('MicroStraight', 7, 5): {10: 100000}, ('MicroStraight', 7, 6): {10: 100000}, ('MicroStraight', 7, 7): {10: 100000}, ('MicroStraight', 7, 8): {10: 100000}, ('MicroStraight', 8, 1): {0: 1544, 10: 98456}, ('MicroStraight', 8, 2): {0: 15, 10: 99985}, ('MicroStraight', 8, 3): {10: 100000}, ('MicroStraight', 8, 4): {10: 100000}, ('MicroStraight', 8, 5): {10: 100000}, ('MicroStraight', 8, 6): {10: 100000}, ('MicroStraight', 8, 7): {10: 100000}, ('MicroStraight', 8, 8): {10: 100000}, ('ThreeOdds', 1, 1): {0: 100000}, ('ThreeOdds', 1, 2): {0: 100000}, ('ThreeOdds', 1, 3): {0: 100000}, ('ThreeOdds', 1, 4): {0: 100000}, ('ThreeOdds', 1, 5): {0: 100000}, ('ThreeOdds', 1, 6): {0: 100000}, ('ThreeOdds', 1, 7): {0: 100000}, ('ThreeOdds', 1, 8): {0: 100000}, ('ThreeOdds', 2, 1): {0: 100000}, ('ThreeOdds', 2, 2): {0: 100000}, ('ThreeOdds', 2, 3): {0: 100000}, ('ThreeOdds', 2, 4): {0: 100000}, ('ThreeOdds', 2, 5): {0: 100000}, ('ThreeOdds', 2, 6): {0: 100000}, ('ThreeOdds', 2, 7): {0: 100000}, ('ThreeOdds', 2, 8): {0: 100000}, ('ThreeOdds', 3, 1): {0: 87592, 20: 12408}, ('ThreeOdds', 3, 2): {0: 57855, 20: 42145}, ('ThreeOdds', 3, 3): {0: 32668, 20: 67332}, ('ThreeOdds', 3, 4): {0: 17508, 20: 82492}, ('ThreeOdds', 3, 5): {0: 9156, 20: 90844}, ('ThreeOdds', 3, 6): {0: 4572, 20: 95428}, ('ThreeOdds', 3, 7): {0: 2325, 20: 97675}, ('ThreeOdds', 3, 8): {0: 1116, 20: 98884}, ('ThreeOdds', 4, 1): {0: 68669, 20: 31331}, ('ThreeOdds', 4, 2): {0: 26140, 20: 73860}, ('ThreeOdds', 4, 3): {0: 7837, 20: 92163}, ('ThreeOdds', 4, 4): {0: 2169, 20: 97831}, ('ThreeOdds', 4, 5): {0: 516, 20: 99484}, ('ThreeOdds', 4, 6): {0: 156, 20: 99844}, ('ThreeOdds', 4, 7): {0: 40, 20: 99960}, ('ThreeOdds', 4, 8): {0: 12, 20: 99988}, ('ThreeOdds', 5, 1): {0: 49908, 20: 50092}, ('ThreeOdds', 5, 2): {0: 10373, 20: 89627}, ('ThreeOdds', 5, 3): {0: 1640, 20: 98360}, ('ThreeOdds', 5, 4): {0: 223, 20: 99777}, ('ThreeOdds', 5, 5): {0: 24, 20: 99976}, ('ThreeOdds', 5, 6): {0: 3, 20: 99997}, ('ThreeOdds', 5, 7): {0: 1, 20: 99999}, ('ThreeOdds', 5, 8): {20: 100000}, ('ThreeOdds', 6, 1): {0: 34566, 20: 65434}, ('ThreeOdds', 6, 2): {0: 3766, 20: 96234}, ('ThreeOdds', 6, 3): {0: 291, 20: 99709}, ('ThreeOdds', 6, 4): {0: 22, 20: 99978}, ('ThreeOdds', 6, 5): {20: 100000}, ('ThreeOdds', 6, 6): {20: 100000}, ('ThreeOdds', 6, 7): {20: 100000}, ('ThreeOdds', 6, 8): {20: 100000}, ('ThreeOdds', 7, 1): {0: 22722, 20: 77278}, ('ThreeOdds', 7, 2): {0: 1291, 20: 98709}, ('ThreeOdds', 7, 3): {0: 38, 20: 99962}, ('ThreeOdds', 7, 4): {0: 2, 20: 99998}, ('ThreeOdds', 7, 5): {20: 100000}, ('ThreeOdds', 7, 6): {20: 100000}, ('ThreeOdds', 7, 7): {20: 100000}, ('ThreeOdds', 7, 8): {20: 100000}, ('ThreeOdds', 8, 1): {0: 14556, 20: 85444}, ('ThreeOdds', 8, 2): {0: 430, 20: 99570}, ('ThreeOdds', 8, 3): {0: 3, 20: 99997}, ('ThreeOdds', 8, 4): {20: 100000}, ('ThreeOdds', 8, 5): {20: 100000}, ('ThreeOdds', 8, 6): {20: 100000}, ('ThreeOdds', 8, 7): {20: 100000}, ('ThreeOdds', 8, 8): {20: 100000}, ('OneTwoOneConsecutive', 1, 1): {0: 100000}, ('OneTwoOneConsecutive', 1, 2): {0: 100000}, ('OneTwoOneConsecutive', 1, 3): {0: 100000}, ('OneTwoOneConsecutive', 1, 4): {0: 100000}, ('OneTwoOneConsecutive', 1, 5): {0: 100000}, ('OneTwoOneConsecutive', 1, 6): {0: 100000}, ('OneTwoOneConsecutive', 1, 7): {0: 100000}, ('OneTwoOneConsecutive', 1, 8): {0: 100000}, ('OneTwoOneConsecutive', 2, 1): {0: 100000}, ('OneTwoOneConsecutive', 2, 2): {0: 100000}, ('OneTwoOneConsecutive', 2, 3): {0: 100000}, ('OneTwoOneConsecutive', 2, 4): {0: 100000}, ('OneTwoOneConsecutive', 2, 5): {0: 100000}, ('OneTwoOneConsecutive', 2, 6): {0: 100000}, ('OneTwoOneConsecutive', 2, 7): {0: 100000}, ('OneTwoOneConsecutive', 2, 8): {0: 100000}, ('OneTwoOneConsecutive', 3, 1): {0: 100000}, ('OneTwoOneConsecutive', 3, 2): {0: 100000}, ('OneTwoOneConsecutive', 3, 3): {0: 100000}, ('OneTwoOneConsecutive', 3, 4): {0: 100000}, ('OneTwoOneConsecutive', 3, 5): {0: 100000}, ('OneTwoOneConsecutive', 3, 6): {0: 100000}, ('OneTwoOneConsecutive', 3, 7): {0: 100000}, ('OneTwoOneConsecutive', 3, 8): {0: 100000}, ('OneTwoOneConsecutive', 4, 1): {0: 96371, 30: 3629}, ('OneTwoOneConsecutive', 4, 2): {0: 86605, 30: 13395}, ('OneTwoOneConsecutive', 4, 3): {0: 75037, 30: 24963}, ('OneTwoOneConsecutive', 4, 4): {0: 63656, 30: 36344}, ('OneTwoOneConsecutive', 4, 5): {0: 53869, 30: 46131}, ('OneTwoOneConsecutive', 4, 6): {0: 45131, 30: 54869}, ('OneTwoOneConsecutive', 4, 7): {0: 37535, 30: 62465}, ('OneTwoOneConsecutive', 4, 8): {0: 31425, 30: 68575}, ('OneTwoOneConsecutive', 5, 1): {0: 86632, 30: 13368}, ('OneTwoOneConsecutive', 5, 2): {0: 62779, 30: 37221}, ('OneTwoOneConsecutive', 5, 3): {0: 46034, 30: 53966}, ('OneTwoOneConsecutive', 5, 4): {0: 34983, 30: 65017}, ('OneTwoOneConsecutive', 5, 5): {0: 28056, 30: 71944}, ('OneTwoOneConsecutive', 5, 6): {0: 23150, 30: 76850}, ('OneTwoOneConsecutive', 5, 7): {0: 19577, 30: 80423}, ('OneTwoOneConsecutive', 5, 8): {0: 17613, 30: 82387}, ('OneTwoOneConsecutive', 6, 1): {0: 71928, 30: 28072}, ('OneTwoOneConsecutive', 6, 2): {0: 40724, 30: 59276}, ('OneTwoOneConsecutive', 6, 3): {0: 26723, 30: 73277}, ('OneTwoOneConsecutive', 6, 4): {0: 19685, 30: 80315}, ('OneTwoOneConsecutive', 6, 5): {0: 15460, 30: 84540}, ('OneTwoOneConsecutive', 6, 6): {0: 12526, 30: 87474}, ('OneTwoOneConsecutive', 6, 7): {0: 10014, 30: 89986}, ('OneTwoOneConsecutive', 6, 8): {0: 8251, 30: 91749}, ('OneTwoOneConsecutive', 7, 1): {0: 55544, 30: 44456}, ('OneTwoOneConsecutive', 7, 2): {0: 24840, 30: 75160}, ('OneTwoOneConsecutive', 7, 3): {0: 15102, 30: 84898}, ('OneTwoOneConsecutive', 7, 4): {0: 10541, 30: 89459}, ('OneTwoOneConsecutive', 7, 5): {0: 7720, 30: 92280}, ('OneTwoOneConsecutive', 7, 6): {0: 5554, 30: 94446}, ('OneTwoOneConsecutive', 7, 7): {0: 4106, 30: 95894}, ('OneTwoOneConsecutive', 7, 8): {0: 3025, 30: 96975}, ('OneTwoOneConsecutive', 8, 1): {0: 40693, 30: 59307}, ('OneTwoOneConsecutive', 8, 2): {0: 14827, 30: 85173}, ('OneTwoOneConsecutive', 8, 3): {0: 8195, 30: 91805}, ('OneTwoOneConsecutive', 8, 4): {0: 5383, 30: 94617}, ('OneTwoOneConsecutive', 8, 5): {0: 3395, 30: 96605}, ('OneTwoOneConsecutive', 8, 6): {0: 2299, 30: 97701}, ('OneTwoOneConsecutive', 8, 7): {0: 1412, 30: 98588}, ('OneTwoOneConsecutive', 8, 8): {0: 872, 30: 99128}, ('ThreeDistinctDice', 1, 1): {0: 100000}, ('ThreeDistinctDice', 1, 2): {0: 100000}, ('ThreeDistinctDice', 1, 3): {0: 100000}, ('ThreeDistinctDice', 1, 4): {0: 100000}, ('ThreeDistinctDice', 1, 5): {0: 100000}, ('ThreeDistinctDice', 1, 6): {0: 100000}, ('ThreeDistinctDice', 1, 7): {0: 100000}, ('ThreeDistinctDice', 1, 8): {0: 100000}, ('ThreeDistinctDice', 2, 1): {0: 100000}, ('ThreeDistinctDice', 2, 2): {0: 100000}, ('ThreeDistinctDice', 2, 3): {0: 100000}, ('ThreeDistinctDice', 2, 4): {0: 100000}, ('ThreeDistinctDice', 2, 5): {0: 100000}, ('ThreeDistinctDice', 2, 6): {0: 100000}, ('ThreeDistinctDice', 2, 7): {0: 100000}, ('ThreeDistinctDice', 2, 8): {0: 100000}, ('ThreeDistinctDice', 3, 1): {0: 44707, 20: 55293}, ('ThreeDistinctDice', 3, 2): {0: 15078, 20: 84922}, ('ThreeDistinctDice', 3, 3): {0: 5056, 20: 94944}, ('ThreeDistinctDice', 3, 4): {0: 1688, 20: 98312}, ('ThreeDistinctDice', 3, 5): {0: 516, 20: 99484}, ('ThreeDistinctDice', 3, 6): {0: 182, 20: 99818}, ('ThreeDistinctDice', 3, 7): {0: 56, 20: 99944}, ('ThreeDistinctDice', 3, 8): {0: 15, 20: 99985}, ('ThreeDistinctDice', 4, 1): {0: 16721, 20: 83279}, ('ThreeDistinctDice', 4, 2): {0: 1826, 20: 98174}, ('ThreeDistinctDice', 4, 3): {0: 203, 20: 99797}, ('ThreeDistinctDice', 4, 4): {0: 18, 20: 99982}, ('ThreeDistinctDice', 4, 5): {0: 3, 20: 99997}, ('ThreeDistinctDice', 4, 6): {20: 100000}, ('ThreeDistinctDice', 4, 7): {20: 100000}, ('ThreeDistinctDice', 4, 8): {20: 100000}, ('ThreeDistinctDice', 5, 1): {0: 5904, 20: 94096}, ('ThreeDistinctDice', 5, 2): {0: 236, 20: 99764}, ('ThreeDistinctDice', 5, 3): {0: 12, 20: 99988}, ('ThreeDistinctDice', 5, 4): {20: 100000}, ('ThreeDistinctDice', 5, 5): {20: 100000}, ('ThreeDistinctDice', 5, 6): {20: 100000}, ('ThreeDistinctDice', 5, 7): {20: 100000}, ('ThreeDistinctDice', 5, 8): {20: 100000}, ('ThreeDistinctDice', 6, 1): {0: 1992, 20: 98008}, ('ThreeDistinctDice', 6, 2): {0: 21, 20: 99979}, ('ThreeDistinctDice', 6, 3): {20: 100000}, ('ThreeDistinctDice', 6, 4): {20: 100000}, ('ThreeDistinctDice', 6, 5): {20: 100000}, ('ThreeDistinctDice', 6, 6): {20: 100000}, ('ThreeDistinctDice', 6, 7): {20: 100000}, ('ThreeDistinctDice', 6, 8): {20: 100000}, ('ThreeDistinctDice', 7, 1): {0: 692, 20: 99308}, ('ThreeDistinctDice', 7, 2): {0: 4, 20: 99996}, ('ThreeDistinctDice', 7, 3): {20: 100000}, ('ThreeDistinctDice', 7, 4): {20: 100000}, ('ThreeDistinctDice', 7, 5): {20: 100000}, ('ThreeDistinctDice', 7, 6): {20: 100000}, ('ThreeDistinctDice', 7, 7): {20: 100000}, ('ThreeDistinctDice', 7, 8): {20: 100000}, ('ThreeDistinctDice', 8, 1): {0: 243, 20: 99757}, ('ThreeDistinctDice', 8, 2): {0: 1, 20: 99999}, ('ThreeDistinctDice', 8, 3): {20: 100000}, ('ThreeDistinctDice', 8, 4): {20: 100000}, ('ThreeDistinctDice', 8, 5): {20: 100000}, ('ThreeDistinctDice', 8, 6): {20: 100000}, ('ThreeDistinctDice', 8, 7): {20: 100000}, ('ThreeDistinctDice', 8, 8): {20: 100000}, ('TwoPair', 1, 1): {0: 100000}, ('TwoPair', 1, 2): {0: 100000}, ('TwoPair', 1, 3): {0: 100000}, ('TwoPair', 1, 4): {0: 100000}, ('TwoPair', 1, 5): {0: 100000}, ('TwoPair', 1, 6): {0: 100000}, ('TwoPair', 1, 7): {0: 100000}, ('TwoPair', 1, 8): {0: 100000}, ('TwoPair', 2, 1): {0: 100000}, ('TwoPair', 2, 2): {0: 100000}, ('TwoPair', 2, 3): {0: 100000}, ('TwoPair', 2, 4): {0: 100000}, ('TwoPair', 2, 5): {0: 100000}, ('TwoPair', 2, 6): {0: 100000}, ('TwoPair', 2, 7): {0: 100000}, ('TwoPair', 2, 8): {0: 100000}, ('TwoPair', 3, 1): {0: 100000}, ('TwoPair', 3, 2): {0: 100000}, ('TwoPair', 3, 3): {0: 100000}, ('TwoPair', 3, 4): {0: 100000}, ('TwoPair', 3, 5): {0: 100000}, ('TwoPair', 3, 6): {0: 100000}, ('TwoPair', 3, 7): {0: 100000}, ('TwoPair', 3, 8): {0: 100000}, ('TwoPair', 4, 1): {0: 93065, 30: 6935}, ('TwoPair', 4, 2): {0: 82102, 30: 17898}, ('TwoPair', 4, 3): {0: 71209, 30: 28791}, ('TwoPair', 4, 4): {0: 61609, 30: 38391}, ('TwoPair', 4, 5): {0: 53036, 30: 46964}, ('TwoPair', 4, 6): {0: 45705, 30: 54295}, ('TwoPair', 4, 7): {0: 39398, 30: 60602}, ('TwoPair', 4, 8): {0: 33673, 30: 66327}, ('TwoPair', 5, 1): {0: 72847, 30: 27153}, ('TwoPair', 5, 2): {0: 46759, 30: 53241}, ('TwoPair', 5, 3): {0: 29462, 30: 70538}, ('TwoPair', 5, 4): {0: 18351, 30: 81649}, ('TwoPair', 5, 5): {0: 11793, 30: 88207}, ('TwoPair', 5, 6): {0: 7385, 30: 92615}, ('TwoPair', 5, 7): {0: 4610, 30: 95390}, ('TwoPair', 5, 8): {0: 2938, 30: 97062}, ('TwoPair', 6, 1): {0: 44431, 30: 55569}, ('TwoPair', 6, 2): {0: 17183, 30: 82817}, ('TwoPair', 6, 3): {0: 6759, 30: 93241}, ('TwoPair', 6, 4): {0: 2562, 30: 97438}, ('TwoPair', 6, 5): {0: 948, 30: 99052}, ('TwoPair', 6, 6): {0: 375, 30: 99625}, ('TwoPair', 6, 7): {0: 138, 30: 99862}, ('TwoPair', 6, 8): {0: 57, 30: 99943}, ('TwoPair', 7, 1): {0: 19888, 30: 80112}, ('TwoPair', 7, 2): {0: 3935, 30: 96065}, ('TwoPair', 7, 3): {0: 801, 30: 99199}, ('TwoPair', 7, 4): {0: 175, 30: 99825}, ('TwoPair', 7, 5): {0: 31, 30: 99969}, ('TwoPair', 7, 6): {0: 7, 30: 99993}, ('TwoPair', 7, 7): {0: 2, 30: 99998}, ('TwoPair', 7, 8): {30: 100000}, ('TwoPair', 8, 1): {0: 6791, 30: 93209}, ('TwoPair', 8, 2): {0: 588, 30: 99412}, ('TwoPair', 8, 3): {0: 61, 30: 99939}, ('TwoPair', 8, 4): {0: 6, 30: 99994}, ('TwoPair', 8, 5): {30: 100000}, ('TwoPair', 8, 6): {30: 100000}, ('TwoPair', 8, 7): {30: 100000}, ('TwoPair', 8, 8): {30: 100000}, ('TwoOneTwoConsecutive', 1, 1): {0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {0: 100000}, ('TwoOneTwoConsecutive', 4, 2): {0: 100000}, ('TwoOneTwoConsecutive', 4, 3): {0: 100000}, ('TwoOneTwoConsecutive', 4, 4): {0: 100000}, ('TwoOneTwoConsecutive', 4, 5): {0: 100000}, ('TwoOneTwoConsecutive', 4, 6): {0: 100000}, ('TwoOneTwoConsecutive', 4, 7): {0: 100000}, ('TwoOneTwoConsecutive', 4, 8): {0: 100000}, ('TwoOneTwoConsecutive', 5, 1): {0: 98403, 40: 1597}, ('TwoOneTwoConsecutive', 5, 2): {0: 90651, 40: 9349}, ('TwoOneTwoConsecutive', 5, 3): {0: 80100, 40: 19900}, ('TwoOneTwoConsecutive', 5, 4): {0: 69131, 40: 30869}, ('TwoOneTwoConsecutive', 5, 5): {0: 58252, 40: 41748}, ('TwoOneTwoConsecutive', 5, 6): {0: 49405, 40: 50595}, ('TwoOneTwoConsecutive', 5, 7): {0: 41585, 40: 58415}, ('TwoOneTwoConsecutive', 5, 8): {0: 34952, 40: 65048}, ('TwoOneTwoConsecutive', 6, 1): {0: 93465, 40: 6535}, ('TwoOneTwoConsecutive', 6, 2): {0: 73416, 40: 26584}, ('TwoOneTwoConsecutive', 6, 3): {0: 54041, 40: 45959}, ('TwoOneTwoConsecutive', 6, 4): {0: 38535, 40: 61465}, ('TwoOneTwoConsecutive', 6, 5): {0: 27366, 40: 72634}, ('TwoOneTwoConsecutive', 6, 6): {0: 18924, 40: 81076}, ('TwoOneTwoConsecutive', 6, 7): {0: 13387, 40: 86613}, ('TwoOneTwoConsecutive', 6, 8): {0: 9134, 40: 90866}, ('TwoOneTwoConsecutive', 7, 1): {0: 84168, 40: 15832}, ('TwoOneTwoConsecutive', 7, 2): {0: 52659, 40: 47341}, ('TwoOneTwoConsecutive', 7, 3): {0: 30435, 40: 69565}, ('TwoOneTwoConsecutive', 7, 4): {0: 17477, 40: 82523}, ('TwoOneTwoConsecutive', 7, 5): {0: 9782, 40: 90218}, ('TwoOneTwoConsecutive', 7, 6): {0: 5316, 40: 94684}, ('TwoOneTwoConsecutive', 7, 7): {0: 2995, 40: 97005}, ('TwoOneTwoConsecutive', 7, 8): {0: 1689, 40: 98311}, ('TwoOneTwoConsecutive', 8, 1): {0: 71089, 40: 28911}, ('TwoOneTwoConsecutive', 8, 2): {0: 33784, 40: 66216}, ('TwoOneTwoConsecutive', 8, 3): {0: 14820, 40: 85180}, ('TwoOneTwoConsecutive', 8, 4): {0: 6265, 40: 93735}, ('TwoOneTwoConsecutive', 8, 5): {0: 2600, 40: 97400}, ('TwoOneTwoConsecutive', 8, 6): {0: 1155, 40: 98845}, ('TwoOneTwoConsecutive', 8, 7): {0: 487, 40: 99513}, ('TwoOneTwoConsecutive', 8, 8): {0: 190, 40: 99810}, ('FiveDistinctDice', 1, 1): {0: 100000}, ('FiveDistinctDice', 1, 2): {0: 100000}, ('FiveDistinctDice', 1, 3): {0: 100000}, ('FiveDistinctDice', 1, 4): {0: 100000}, ('FiveDistinctDice', 1, 5): {0: 100000}, ('FiveDistinctDice', 1, 6): {0: 100000}, ('FiveDistinctDice', 1, 7): {0: 100000}, ('FiveDistinctDice', 1, 8): {0: 100000}, ('FiveDistinctDice', 2, 1): {0: 100000}, ('FiveDistinctDice', 2, 2): {0: 100000}, ('FiveDistinctDice', 2, 3): {0: 100000}, ('FiveDistinctDice', 2, 4): {0: 100000}, ('FiveDistinctDice', 2, 5): {0: 100000}, ('FiveDistinctDice', 2, 6): {0: 100000}, ('FiveDistinctDice', 2, 7): {0: 100000}, ('FiveDistinctDice', 2, 8): {0: 100000}, ('FiveDistinctDice', 3, 1): {0: 100000}, ('FiveDistinctDice', 3, 2): {0: 100000}, ('FiveDistinctDice', 3, 3): {0: 100000}, ('FiveDistinctDice', 3, 4): {0: 100000}, ('FiveDistinctDice', 3, 5): {0: 100000}, ('FiveDistinctDice', 3, 6): {0: 100000}, ('FiveDistinctDice', 3, 7): {0: 100000}, ('FiveDistinctDice', 3, 8): {0: 100000}, ('FiveDistinctDice', 4, 1): {0: 100000}, ('FiveDistinctDice', 4, 2): {0: 100000}, ('FiveDistinctDice', 4, 3): {0: 100000}, ('FiveDistinctDice', 4, 4): {0: 100000}, ('FiveDistinctDice', 4, 5): {0: 100000}, ('FiveDistinctDice', 4, 6): {0: 100000}, ('FiveDistinctDice', 4, 7): {0: 100000}, ('FiveDistinctDice', 4, 8): {0: 100000}, ('FiveDistinctDice', 5, 1): {0: 90907, 25: 9093}, ('FiveDistinctDice', 5, 2): {0: 68020, 25: 31980}, ('FiveDistinctDice', 5, 3): {0: 47692, 25: 52308}, ('FiveDistinctDice', 5, 4): {0: 32383, 25: 67617}, ('FiveDistinctDice', 5, 5): {0: 21631, 25: 78369}, ('FiveDistinctDice', 5, 6): {0: 14366, 25: 85634}, ('FiveDistinctDice', 5, 7): {0: 9568, 25: 90432}, ('FiveDistinctDice', 5, 8): {0: 6360, 25: 93640}, ('FiveDistinctDice', 6, 1): {0: 75051, 25: 24949}, ('FiveDistinctDice', 6, 2): {0: 38409, 25: 61591}, ('FiveDistinctDice', 6, 3): {0: 17505, 25: 82495}, ('FiveDistinctDice', 6, 4): {0: 7862, 25: 92138}, ('FiveDistinctDice', 6, 5): {0: 3538, 25: 96462}, ('FiveDistinctDice', 6, 6): {0: 1645, 25: 98355}, ('FiveDistinctDice', 6, 7): {0: 714, 25: 99286}, ('FiveDistinctDice', 6, 8): {0: 341, 25: 99659}, ('FiveDistinctDice', 7, 1): {0: 58588, 25: 41412}, ('FiveDistinctDice', 7, 2): {0: 19487, 25: 80513}, ('FiveDistinctDice', 7, 3): {0: 6043, 25: 93957}, ('FiveDistinctDice', 7, 4): {0: 1799, 25: 98201}, ('FiveDistinctDice', 7, 5): {0: 544, 25: 99456}, ('FiveDistinctDice', 7, 6): {0: 169, 25: 99831}, ('FiveDistinctDice', 7, 7): {0: 59, 25: 99941}, ('FiveDistinctDice', 7, 8): {0: 11, 25: 99989}, ('FiveDistinctDice', 8, 1): {0: 43586, 25: 56414}, ('FiveDistinctDice', 8, 2): {0: 9615, 25: 90385}, ('FiveDistinctDice', 8, 3): {0: 1944, 25: 98056}, ('FiveDistinctDice', 8, 4): {0: 383, 25: 99617}, ('FiveDistinctDice', 8, 5): {0: 77, 25: 99923}, ('FiveDistinctDice', 8, 6): {0: 18, 25: 99982}, ('FiveDistinctDice', 8, 7): {0: 3, 25: 99997}, ('FiveDistinctDice', 8, 8): {0: 2, 25: 99998}, ('FourAndFiveFullHouse', 1, 1): {0: 100000}, ('FourAndFiveFullHouse', 1, 2): {0: 100000}, ('FourAndFiveFullHouse', 1, 3): {0: 100000}, ('FourAndFiveFullHouse', 1, 4): {0: 100000}, ('FourAndFiveFullHouse', 1, 5): {0: 100000}, ('FourAndFiveFullHouse', 1, 6): {0: 100000}, ('FourAndFiveFullHouse', 1, 7): {0: 100000}, ('FourAndFiveFullHouse', 1, 8): {0: 100000}, ('FourAndFiveFullHouse', 2, 1): {0: 100000}, ('FourAndFiveFullHouse', 2, 2): {0: 100000}, ('FourAndFiveFullHouse', 2, 3): {0: 100000}, ('FourAndFiveFullHouse', 2, 4): {0: 100000}, ('FourAndFiveFullHouse', 2, 5): {0: 100000}, ('FourAndFiveFullHouse', 2, 6): {0: 100000}, ('FourAndFiveFullHouse', 2, 7): {0: 100000}, ('FourAndFiveFullHouse', 2, 8): {0: 100000}, ('FourAndFiveFullHouse', 3, 1): {0: 100000}, ('FourAndFiveFullHouse', 3, 2): {0: 100000}, ('FourAndFiveFullHouse', 3, 3): {0: 100000}, ('FourAndFiveFullHouse', 3, 4): {0: 100000}, ('FourAndFiveFullHouse', 3, 5): {0: 100000}, ('FourAndFiveFullHouse', 3, 6): {0: 100000}, ('FourAndFiveFullHouse', 3, 7): {0: 100000}, ('FourAndFiveFullHouse', 3, 8): {0: 100000}, ('FourAndFiveFullHouse', 4, 1): {0: 100000}, ('FourAndFiveFullHouse', 4, 2): {0: 100000}, ('FourAndFiveFullHouse', 4, 3): {0: 100000}, ('FourAndFiveFullHouse', 4, 4): {0: 100000}, ('FourAndFiveFullHouse', 4, 5): {0: 100000}, ('FourAndFiveFullHouse', 4, 6): {0: 100000}, ('FourAndFiveFullHouse', 4, 7): {0: 100000}, ('FourAndFiveFullHouse', 4, 8): {0: 100000}, ('FourAndFiveFullHouse', 5, 1): {0: 99724, 50: 276}, ('FourAndFiveFullHouse', 5, 2): {0: 96607, 50: 3393}, ('FourAndFiveFullHouse', 5, 3): {0: 88788, 50: 11212}, ('FourAndFiveFullHouse', 5, 4): {0: 77799, 50: 22201}, ('FourAndFiveFullHouse', 5, 5): {0: 65797, 50: 34203}, ('FourAndFiveFullHouse', 5, 6): {0: 54548, 50: 45452}, ('FourAndFiveFullHouse', 5, 7): {0: 44898, 50: 55102}, ('FourAndFiveFullHouse', 5, 8): {0: 36881, 50: 63119}, ('FourAndFiveFullHouse', 6, 1): {0: 98841, 50: 1159}, ('FourAndFiveFullHouse', 6, 2): {0: 88680, 50: 11320}, ('FourAndFiveFullHouse', 6, 3): {0: 70215, 50: 29785}, ('FourAndFiveFullHouse', 6, 4): {0: 50801, 50: 49199}, ('FourAndFiveFullHouse', 6, 5): {0: 35756, 50: 64244}, ('FourAndFiveFullHouse', 6, 6): {0: 24698, 50: 75302}, ('FourAndFiveFullHouse', 6, 7): {0: 17145, 50: 82855}, ('FourAndFiveFullHouse', 6, 8): {0: 11846, 50: 88154}, ('FourAndFiveFullHouse', 7, 1): {0: 97090, 50: 2910}, ('FourAndFiveFullHouse', 7, 2): {0: 77440, 50: 22560}, ('FourAndFiveFullHouse', 7, 3): {0: 51372, 50: 48628}, ('FourAndFiveFullHouse', 7, 4): {0: 30566, 50: 69434}, ('FourAndFiveFullHouse', 7, 5): {0: 17866, 50: 82134}, ('FourAndFiveFullHouse', 7, 6): {0: 10521, 50: 89479}, ('FourAndFiveFullHouse', 7, 7): {0: 6204, 50: 93796}, ('FourAndFiveFullHouse', 7, 8): {0: 3670, 50: 96330}, ('FourAndFiveFullHouse', 8, 1): {0: 94172, 50: 5828}, ('FourAndFiveFullHouse', 8, 2): {0: 64693, 50: 35307}, ('FourAndFiveFullHouse', 8, 3): {0: 35293, 50: 64707}, ('FourAndFiveFullHouse', 8, 4): {0: 17749, 50: 82251}, ('FourAndFiveFullHouse', 8, 5): {0: 8740, 50: 91260}, ('FourAndFiveFullHouse', 8, 6): {0: 4550, 50: 95450}, ('FourAndFiveFullHouse', 8, 7): {0: 2218, 50: 97782}, ('FourAndFiveFullHouse', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file diff --git a/worlds/yachtdice/weightsNN.txt b/worlds/yachtdice/weightsNN.txt deleted file mode 100644 index 493f65de1cca..000000000000 --- a/worlds/yachtdice/weightsNN.txt +++ /dev/null @@ -1 +0,0 @@ -{('Ones', 0, 0): {0: 100000}, ('Ones', 0, 1): {0: 100000}, ('Ones', 0, 2): {0: 100000}, ('Ones', 0, 3): {0: 100000}, ('Ones', 0, 4): {0: 100000}, ('Ones', 0, 5): {0: 100000}, ('Ones', 0, 6): {0: 100000}, ('Ones', 0, 7): {0: 100000}, ('Ones', 0, 8): {0: 100000}, ('Ones', 1, 0): {0: 100000}, ('Ones', 1, 1): {0: 83416, 1: 16584}, ('Ones', 1, 2): {0: 69346, 1: 30654}, ('Ones', 1, 3): {0: 57756, 1: 42244}, ('Ones', 1, 4): {0: 48709, 1: 51291}, ('Ones', 1, 5): {0: 40214, 1: 59786}, ('Ones', 1, 6): {0: 33491, 1: 66509}, ('Ones', 1, 7): {0: 27838, 1: 72162}, ('Ones', 1, 8): {0: 23094, 1: 76906}, ('Ones', 2, 0): {0: 100000}, ('Ones', 2, 1): {0: 69715, 1: 30285}, ('Ones', 2, 2): {0: 48066, 1: 42669, 2: 9265}, ('Ones', 2, 3): {0: 33544, 1: 48585, 2: 17871}, ('Ones', 2, 4): {0: 23342, 1: 50092, 2: 26566}, ('Ones', 2, 5): {0: 16036, 1: 48250, 2: 35714}, ('Ones', 2, 6): {0: 11355, 1: 44545, 2: 44100}, ('Ones', 2, 7): {0: 7812, 1: 40248, 2: 51940}, ('Ones', 2, 8): {0: 5395, 1: 35484, 2: 59121}, ('Ones', 3, 0): {0: 100000}, ('Ones', 3, 1): {0: 57462, 1: 35151, 2: 7387}, ('Ones', 3, 2): {0: 33327, 1: 44253, 2: 22420}, ('Ones', 3, 3): {0: 19432, 1: 42237, 2: 30821, 3: 7510}, ('Ones', 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ('Ones', 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, ('Ones', 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, ('Ones', 3, 7): {0: 2134, 1: 16717, 2: 43782, 3: 37367}, ('Ones', 3, 8): {0: 1280, 1: 12567, 2: 40951, 3: 45202}, ('Ones', 4, 0): {0: 100000}, ('Ones', 4, 1): {0: 48178, 1: 38635, 2: 13187}, ('Ones', 4, 2): {0: 23349, 1: 40775, 2: 26967, 3: 8909}, ('Ones', 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, ('Ones', 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 26943, 4: 7214}, ('Ones', 4, 5): {0: 2640, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, ('Ones', 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, ('Ones', 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, ('Ones', 4, 8): {0: 4228, 2: 19045, 3: 42267, 4: 34460}, ('Ones', 5, 0): {0: 100000}, ('Ones', 5, 1): {0: 40042, 1: 40202, 2: 19756}, ('Ones', 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, ('Ones', 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 24952, 4: 10435}, ('Ones', 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, ('Ones', 5, 5): {0: 1079, 1: 7704, 2: 23245, 3: 34614, 4: 25625, 5: 7733}, ('Ones', 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, ('Ones', 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, ('Ones', 5, 8): {0: 1167, 2: 7382, 3: 24639, 4: 40166, 5: 26646}, ('Ones', 6, 0): {0: 100000}, ('Ones', 6, 1): {0: 33501, 1: 40042, 2: 26457}, ('Ones', 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 19350, 4: 7577}, ('Ones', 6, 3): {0: 3764, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, ('Ones', 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, ('Ones', 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, ('Ones', 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, ('Ones', 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, ('Ones', 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, ('Ones', 7, 0): {0: 100000}, ('Ones', 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, ('Ones', 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, ('Ones', 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, ('Ones', 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 17986, 6: 7490}, ('Ones', 7, 5): {0: 1947, 2: 7907, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, ('Ones', 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, ('Ones', 7, 7): {0: 2032, 3: 7943, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, ('Ones', 7, 8): {0: 5519, 4: 15425, 5: 30293, 6: 33357, 7: 15406}, ('Ones', 8, 0): {0: 100000}, ('Ones', 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, ('Ones', 8, 2): {0: 5472, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, ('Ones', 8, 3): {0: 1209, 1: 7452, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, ('Ones', 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, ('Ones', 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, ('Ones', 8, 6): {0: 1971, 3: 6901, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, ('Ones', 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 22673, 8: 7330}, ('Ones', 8, 8): {0: 2078, 4: 7029, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, ('Twos', 0, 0): {0: 100000}, ('Twos', 0, 1): {0: 100000}, ('Twos', 0, 2): {0: 100000}, ('Twos', 0, 3): {0: 100000}, ('Twos', 0, 4): {0: 100000}, ('Twos', 0, 5): {0: 100000}, ('Twos', 0, 6): {0: 100000}, ('Twos', 0, 7): {0: 100000}, ('Twos', 0, 8): {0: 100000}, ('Twos', 1, 0): {0: 100000}, ('Twos', 1, 1): {0: 83475, 2: 16525}, ('Twos', 1, 2): {0: 69690, 2: 30310}, ('Twos', 1, 3): {0: 57818, 2: 42182}, ('Twos', 1, 4): {0: 48418, 2: 51582}, ('Twos', 1, 5): {0: 40301, 2: 59699}, ('Twos', 1, 6): {0: 33558, 2: 66442}, ('Twos', 1, 7): {0: 28182, 2: 71818}, ('Twos', 1, 8): {0: 23406, 2: 76594}, ('Twos', 2, 0): {0: 100000}, ('Twos', 2, 1): {0: 69724, 2: 30276}, ('Twos', 2, 2): {0: 48238, 2: 42479, 4: 9283}, ('Twos', 2, 3): {0: 33290, 2: 48819, 4: 17891}, ('Twos', 2, 4): {0: 23136, 2: 49957, 4: 26907}, ('Twos', 2, 5): {0: 16146, 2: 48200, 4: 35654}, ('Twos', 2, 6): {0: 11083, 2: 44497, 4: 44420}, ('Twos', 2, 7): {0: 7662, 2: 40343, 4: 51995}, ('Twos', 2, 8): {0: 5354, 2: 35526, 4: 59120}, ('Twos', 3, 0): {0: 100000}, ('Twos', 3, 1): {0: 58021, 2: 34522, 4: 7457}, ('Twos', 3, 2): {0: 33548, 2: 44261, 4: 22191}, ('Twos', 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, ('Twos', 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, ('Twos', 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, ('Twos', 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, ('Twos', 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, ('Twos', 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, ('Twos', 4, 0): {0: 100000}, ('Twos', 4, 1): {0: 48235, 2: 38602, 4: 13163}, ('Twos', 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, ('Twos', 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, ('Twos', 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, ('Twos', 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, ('Twos', 4, 6): {0: 1259, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, ('Twos', 4, 7): {0: 622, 2: 6323, 4: 24103, 6: 41894, 8: 27058}, ('Twos', 4, 8): {0: 278, 2: 3813, 4: 18855, 6: 42309, 8: 34745}, ('Twos', 5, 0): {0: 100000}, ('Twos', 5, 1): {0: 40028, 2: 40241, 4: 16003, 6: 3728}, ('Twos', 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 13797, 8: 3269}, ('Twos', 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, ('Twos', 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 17149, 10: 3748}, ('Twos', 5, 5): {0: 1032, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, ('Twos', 5, 6): {0: 450, 2: 4152, 4: 16541, 6: 32774, 8: 32900, 10: 13183}, ('Twos', 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, ('Twos', 5, 8): {0: 1171, 4: 7571, 6: 23993, 8: 40798, 10: 26467}, ('Twos', 6, 0): {0: 100000}, ('Twos', 6, 1): {0: 33502, 2: 40413, 4: 19717, 6: 6368}, ('Twos', 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, ('Twos', 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 15825, 10: 5146}, ('Twos', 6, 4): {0: 1243, 2: 8048, 4: 21977, 6: 31053, 8: 25066, 10: 12613}, ('Twos', 6, 5): {0: 441, 2: 3753, 4: 13949, 6: 28142, 8: 30723, 10: 18355, 12: 4637}, ('Twos', 6, 6): {0: 1800, 4: 8455, 6: 22222, 8: 32692, 10: 26213, 12: 8618}, ('Twos', 6, 7): {0: 775, 4: 4871, 6: 16142, 8: 31410, 10: 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('FullHouse', 3, 7): {0: 100000}, ('FullHouse', 3, 8): {0: 100000}, ('FullHouse', 4, 0): {0: 100000}, ('FullHouse', 4, 1): {0: 100000}, ('FullHouse', 4, 2): {0: 100000}, ('FullHouse', 4, 3): {0: 100000}, ('FullHouse', 4, 4): {0: 100000}, ('FullHouse', 4, 5): {0: 100000}, ('FullHouse', 4, 6): {0: 100000}, ('FullHouse', 4, 7): {0: 100000}, ('FullHouse', 4, 8): {0: 100000}, ('FullHouse', 5, 0): {0: 100000}, ('FullHouse', 5, 1): {0: 96155, 25: 3845}, ('FullHouse', 5, 2): {0: 81391, 25: 18609}, ('FullHouse', 5, 3): {0: 64300, 25: 35700}, ('FullHouse', 5, 4): {0: 49669, 25: 50331}, ('FullHouse', 5, 5): {0: 38019, 25: 61981}, ('FullHouse', 5, 6): {0: 29751, 25: 70249}, ('FullHouse', 5, 7): {0: 22960, 25: 77040}, ('FullHouse', 5, 8): {0: 18650, 25: 81350}, ('FullHouse', 6, 0): {0: 100000}, ('FullHouse', 6, 1): {0: 82989, 25: 17011}, ('FullHouse', 6, 2): {0: 47153, 25: 52847}, ('FullHouse', 6, 3): {0: 24151, 25: 75849}, ('FullHouse', 6, 4): {0: 12519, 25: 87481}, ('FullHouse', 6, 5): {0: 6524, 25: 93476}, ('FullHouse', 6, 6): {0: 3606, 25: 96394}, ('FullHouse', 6, 7): {0: 1959, 25: 98041}, ('FullHouse', 6, 8): {0: 1026, 25: 98974}, ('FullHouse', 7, 0): {0: 100000}, ('FullHouse', 7, 1): {0: 60232, 25: 39768}, ('FullHouse', 7, 2): {0: 18894, 25: 81106}, ('FullHouse', 7, 3): {0: 5682, 25: 94318}, ('FullHouse', 7, 4): {0: 1706, 25: 98294}, ('FullHouse', 7, 5): {0: 522, 25: 99478}, ('FullHouse', 7, 6): {0: 146, 25: 99854}, ('FullHouse', 7, 7): {0: 54, 25: 99946}, ('FullHouse', 7, 8): {0: 18, 25: 99982}, ('FullHouse', 8, 0): {0: 100000}, ('FullHouse', 8, 1): {0: 35909, 25: 64091}, ('FullHouse', 8, 2): {0: 5712, 25: 94288}, ('FullHouse', 8, 3): {0: 930, 25: 99070}, ('FullHouse', 8, 4): {0: 165, 25: 99835}, ('FullHouse', 8, 5): {0: 19, 25: 99981}, ('FullHouse', 8, 6): {0: 6, 25: 99994}, ('FullHouse', 8, 7): {25: 100000}, ('FullHouse', 8, 8): {25: 100000}, ('Yacht', 0, 0): {0: 100000}, ('Yacht', 0, 1): {0: 100000}, ('Yacht', 0, 2): {0: 100000}, ('Yacht', 0, 3): {0: 100000}, ('Yacht', 0, 4): {0: 100000}, ('Yacht', 0, 5): {0: 100000}, ('Yacht', 0, 6): {0: 100000}, ('Yacht', 0, 7): {0: 100000}, ('Yacht', 0, 8): {0: 100000}, ('Yacht', 1, 0): {0: 100000}, ('Yacht', 1, 1): {0: 100000}, ('Yacht', 1, 2): {0: 100000}, ('Yacht', 1, 3): {0: 100000}, ('Yacht', 1, 4): {0: 100000}, ('Yacht', 1, 5): {0: 100000}, ('Yacht', 1, 6): {0: 100000}, ('Yacht', 1, 7): {0: 100000}, ('Yacht', 1, 8): {0: 100000}, ('Yacht', 2, 0): {0: 100000}, ('Yacht', 2, 1): {0: 100000}, ('Yacht', 2, 2): {0: 100000}, ('Yacht', 2, 3): {0: 100000}, ('Yacht', 2, 4): {0: 100000}, ('Yacht', 2, 5): {0: 100000}, ('Yacht', 2, 6): {0: 100000}, ('Yacht', 2, 7): {0: 100000}, ('Yacht', 2, 8): {0: 100000}, ('Yacht', 3, 0): {0: 100000}, ('Yacht', 3, 1): {0: 100000}, ('Yacht', 3, 2): {0: 100000}, ('Yacht', 3, 3): {0: 100000}, ('Yacht', 3, 4): {0: 100000}, ('Yacht', 3, 5): {0: 100000}, ('Yacht', 3, 6): {0: 100000}, ('Yacht', 3, 7): {0: 100000}, ('Yacht', 3, 8): {0: 100000}, ('Yacht', 4, 0): {0: 100000}, ('Yacht', 4, 1): {0: 100000}, ('Yacht', 4, 2): {0: 100000}, ('Yacht', 4, 3): {0: 100000}, ('Yacht', 4, 4): {0: 100000}, ('Yacht', 4, 5): {0: 100000}, ('Yacht', 4, 6): {0: 100000}, ('Yacht', 4, 7): {0: 100000}, ('Yacht', 4, 8): {0: 100000}, ('Yacht', 5, 0): {0: 100000}, ('Yacht', 5, 1): {0: 100000}, ('Yacht', 5, 2): {0: 98727, 50: 1273}, ('Yacht', 5, 3): {0: 95347, 50: 4653}, ('Yacht', 5, 4): {0: 89969, 50: 10031}, ('Yacht', 5, 5): {0: 83124, 50: 16876}, ('Yacht', 5, 6): {0: 75023, 50: 24977}, ('Yacht', 5, 7): {0: 67007, 50: 32993}, ('Yacht', 5, 8): {0: 58618, 50: 41382}, ('Yacht', 6, 0): {0: 100000}, ('Yacht', 6, 1): {0: 99571, 50: 429}, ('Yacht', 6, 2): {0: 94726, 50: 5274}, ('Yacht', 6, 3): {0: 84366, 50: 15634}, ('Yacht', 6, 4): {0: 70782, 50: 29218}, ('Yacht', 6, 5): {0: 56573, 50: 43427}, ('Yacht', 6, 6): {0: 44206, 50: 55794}, ('Yacht', 6, 7): {0: 33578, 50: 66422}, ('Yacht', 6, 8): {0: 25079, 50: 74921}, ('Yacht', 7, 0): {0: 100000}, ('Yacht', 7, 1): {0: 98833, 50: 1167}, ('Yacht', 7, 2): {0: 87511, 50: 12489}, ('Yacht', 7, 3): {0: 68252, 50: 31748}, ('Yacht', 7, 4): {0: 49065, 50: 50935}, ('Yacht', 7, 5): {0: 33364, 50: 66636}, ('Yacht', 7, 6): {0: 21483, 50: 78517}, ('Yacht', 7, 7): {0: 13597, 50: 86403}, ('Yacht', 7, 8): {0: 8483, 50: 91517}, ('Yacht', 8, 0): {0: 100000}, ('Yacht', 8, 1): {0: 97212, 50: 2788}, ('Yacht', 8, 2): {0: 76962, 50: 23038}, ('Yacht', 8, 3): {0: 50533, 50: 49467}, ('Yacht', 8, 4): {0: 29981, 50: 70019}, ('Yacht', 8, 5): {0: 16776, 50: 83224}, ('Yacht', 8, 6): {0: 9079, 50: 90921}, ('Yacht', 8, 7): {0: 4705, 50: 95295}, ('Yacht', 8, 8): {0: 2363, 50: 97637}, ('Distincts', 1, 1): {1: 100000}, ('Distincts', 1, 2): {1: 100000}, ('Distincts', 1, 3): {1: 100000}, ('Distincts', 1, 4): {1: 100000}, ('Distincts', 1, 5): {1: 100000}, ('Distincts', 1, 6): {1: 100000}, ('Distincts', 1, 7): {1: 100000}, ('Distincts', 1, 8): {1: 100000}, ('Distincts', 2, 1): {1: 16804, 2: 83196}, ('Distincts', 2, 2): {1: 2686, 2: 97314}, ('Distincts', 2, 3): {1: 463, 2: 99537}, ('Distincts', 2, 4): {1: 66, 2: 99934}, ('Distincts', 2, 5): {1: 11, 2: 99989}, ('Distincts', 2, 6): {1: 1, 2: 99999}, ('Distincts', 2, 7): {2: 100000}, ('Distincts', 2, 8): {2: 100000}, ('Distincts', 3, 1): {1: 2760, 2: 41714, 3: 55526}, ('Distincts', 3, 2): {1: 78, 2: 14936, 3: 84986}, ('Distincts', 3, 3): {1: 4866, 3: 95134}, ('Distincts', 3, 4): {2: 1659, 3: 98341}, ('Distincts', 3, 5): {2: 575, 3: 99425}, ('Distincts', 3, 6): {2: 200, 3: 99800}, ('Distincts', 3, 7): {2: 69, 3: 99931}, ('Distincts', 3, 8): {2: 22, 3: 99978}, ('Distincts', 4, 1): {1: 494, 2: 16140, 3: 55471, 4: 27895}, ('Distincts', 4, 2): {1: 1893, 3: 36922, 4: 61185}, ('Distincts', 4, 3): {2: 230, 3: 19631, 4: 80139}, ('Distincts', 4, 4): {2: 21, 3: 9858, 4: 90121}, ('Distincts', 4, 5): {2: 4906, 4: 95094}, ('Distincts', 4, 6): {3: 2494, 4: 97506}, ('Distincts', 4, 7): {3: 1297, 4: 98703}, ('Distincts', 4, 8): {3: 611, 4: 99389}, ('Distincts', 5, 1): {1: 5798, 3: 38538, 4: 46379, 5: 9285}, ('Distincts', 5, 2): {2: 196, 3: 11647, 4: 56472, 5: 31685}, ('Distincts', 5, 3): {2: 3022, 4: 44724, 5: 52254}, ('Distincts', 5, 4): {3: 722, 4: 31632, 5: 67646}, ('Distincts', 5, 5): {3: 215, 4: 21391, 5: 78394}, ('Distincts', 5, 6): {3: 55, 4: 14470, 5: 85475}, ('Distincts', 5, 7): {3: 15, 4: 9645, 5: 90340}, ('Distincts', 5, 8): {3: 6463, 5: 93537}, ('Distincts', 6, 1): {1: 2027, 3: 22985, 4: 50464, 5: 24524}, ('Distincts', 6, 2): {2: 3299, 4: 35174, 5: 52573, 6: 8954}, ('Distincts', 6, 3): {3: 417, 4: 17376, 5: 62578, 6: 19629}, ('Distincts', 6, 4): {3: 44, 4: 7787, 5: 61029, 6: 31140}, ('Distincts', 6, 5): {3: 3699, 5: 54997, 6: 41304}, ('Distincts', 6, 6): {4: 1557, 5: 47225, 6: 51218}, ('Distincts', 6, 7): {4: 728, 5: 40465, 6: 58807}, ('Distincts', 6, 8): {4: 321, 5: 33851, 6: 65828}, ('Distincts', 7, 1): {1: 665, 3: 13006, 4: 44964, 5: 41365}, ('Distincts', 7, 2): {2: 839, 4: 18847, 5: 56731, 6: 23583}, ('Distincts', 7, 3): {3: 6051, 5: 50312, 6: 43637}, ('Distincts', 7, 4): {3: 1796, 5: 38393, 6: 59811}, ('Distincts', 7, 5): {4: 529, 5: 27728, 6: 71743}, ('Distincts', 7, 6): {4: 164, 5: 19417, 6: 80419}, ('Distincts', 7, 7): {4: 53, 5: 13565, 6: 86382}, ('Distincts', 7, 8): {4: 14, 5: 9531, 6: 90455}, ('Distincts', 8, 1): {1: 198, 3: 6939, 4: 36582, 5: 44977, 6: 11304}, ('Distincts', 8, 2): {2: 233, 4: 9181, 5: 50783, 6: 39803}, ('Distincts', 8, 3): {3: 1976, 5: 34748, 6: 63276}, ('Distincts', 8, 4): {4: 389, 5: 21008, 6: 78603}, ('Distincts', 8, 5): {4: 78, 5: 12514, 6: 87408}, ('Distincts', 8, 6): {4: 18, 5: 7159, 6: 92823}, ('Distincts', 8, 7): {4: 4179, 6: 95821}, ('Distincts', 8, 8): {5: 2440, 6: 97560}, ('TwosAndThrees', 1, 1): {0: 66466, 2: 16929, 3: 16605}, ('TwosAndThrees', 1, 2): {0: 55640, 2: 13812, 3: 30548}, ('TwosAndThrees', 1, 3): {0: 46223, 2: 11599, 3: 42178}, ('TwosAndThrees', 1, 4): {0: 38552, 2: 9618, 3: 51830}, ('TwosAndThrees', 1, 5): {0: 32320, 2: 7974, 3: 59706}, ('TwosAndThrees', 1, 6): {0: 26733, 2: 6684, 3: 66583}, ('TwosAndThrees', 1, 7): {0: 22289, 2: 5563, 3: 72148}, ('TwosAndThrees', 1, 8): {0: 18676, 2: 4688, 3: 76636}, ('TwosAndThrees', 2, 1): {0: 44565, 2: 21965, 3: 25172, 5: 8298}, ('TwosAndThrees', 2, 2): {0: 30855, 2: 15480, 3: 35949, 5: 8278, 6: 9438}, ('TwosAndThrees', 2, 3): {0: 21509, 2: 10838, 3: 40340, 5: 9727, 6: 17586}, ('TwosAndThrees', 2, 4): {0: 14935, 2: 7489, 3: 41092, 5: 9825, 6: 26659}, ('TwosAndThrees', 2, 5): {0: 10492, 2: 5169, 3: 39087, 5: 9671, 6: 35581}, ('TwosAndThrees', 2, 6): {0: 7185, 2: 3590, 3: 35936, 5: 8994, 6: 44295}, ('TwosAndThrees', 2, 7): {0: 7375, 3: 32469, 5: 8139, 6: 52017}, ('TwosAndThrees', 2, 8): {0: 5212, 3: 28436, 5: 7294, 6: 59058}, ('TwosAndThrees', 3, 1): {0: 29892, 2: 22136, 3: 27781, 5: 11005, 6: 9186}, ('TwosAndThrees', 3, 2): {0: 17285, 2: 12757, 3: 31500, 5: 14092, 6: 17552, 8: 6814}, ('TwosAndThrees', 3, 3): {0: 9889, 2: 7547, 3: 28958, 5: 13522, 6: 24863, 7: 7881, 9: 7340}, ('TwosAndThrees', 3, 4): {0: 5717, 2: 4245, 3: 24072, 5: 11617, 6: 32865, 8: 7719, 9: 13765}, ('TwosAndThrees', 3, 5): {0: 5795, 3: 19123, 5: 9296, 6: 35708, 8: 8683, 9: 21395}, ('TwosAndThrees', 3, 6): {0: 3273, 3: 14740, 5: 7148, 6: 36387, 8: 8820, 9: 29632}, ('TwosAndThrees', 3, 7): {0: 1917, 3: 16239, 6: 35604, 8: 8739, 9: 37501}, ('TwosAndThrees', 3, 8): {0: 1124, 3: 12222, 6: 33537, 8: 8018, 9: 45099}, ('TwosAndThrees', 4, 1): {0: 19619, 2: 19764, 3: 19811, 4: 7306, 5: 14893, 6: 8721, 7: 9886}, ('TwosAndThrees', 4, 2): {0: 9395, 2: 9519, 3: 24407, 5: 15873, 6: 21959, 8: 8667, 9: 10180}, ('TwosAndThrees', 4, 3): {0: 4538, 2: 4676, 3: 18292, 5: 12541, 6: 26350, 8: 11445, 9: 15471, 11: 6687}, ('TwosAndThrees', 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 21496, 10: 6859, 12: 7183}, ('TwosAndThrees', 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 29121, 11: 6926, 12: 12776}, ('TwosAndThrees', 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 32849, 11: 7894, 12: 19495}, ('TwosAndThrees', 4, 7): {0: 224, 2: 6086, 6: 16140, 8: 7881, 9: 34297, 11: 8601, 12: 26771}, ('TwosAndThrees', 4, 8): {0: 123, 2: 3571, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, ('TwosAndThrees', 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, ('TwosAndThrees', 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, ('TwosAndThrees', 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, ('TwosAndThrees', 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 15422, 14: 7246}, ('TwosAndThrees', 5, 5): {0: 781, 3: 6624, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 20783, 13: 6512, 15: 7632}, ('TwosAndThrees', 5, 6): {0: 123, 2: 3622, 6: 9065, 8: 6610, 9: 22902, 11: 10593, 12: 27521, 14: 6551, 15: 13013}, ('TwosAndThrees', 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 31332, 14: 7512, 15: 19396}, ('TwosAndThrees', 5, 8): {0: 986, 6: 6740, 9: 16186, 11: 7771, 12: 33474, 14: 7963, 15: 26880}, ('TwosAndThrees', 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 13500, 10: 7359}, ('TwosAndThrees', 6, 2): {0: 2944, 2: 4382, 3: 12512, 5: 11978, 6: 20178, 8: 13344, 9: 16448, 11: 7676, 12: 10538}, ('TwosAndThrees', 6, 3): {0: 977, 2: 7869, 5: 6758, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, ('TwosAndThrees', 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, ('TwosAndThrees', 6, 5): {0: 1610, 5: 7206, 7: 6521, 9: 16495, 11: 10563, 12: 23042, 14: 10049, 15: 16281, 17: 8233}, ('TwosAndThrees', 6, 6): {0: 1362, 6: 7145, 9: 12670, 11: 8492, 12: 23467, 14: 10649, 15: 21066, 16: 6581, 18: 8568}, ('TwosAndThrees', 6, 7): {0: 14, 2: 4631, 9: 8281, 10: 6929, 12: 21906, 14: 10107, 15: 27360, 17: 6654, 18: 14118}, ('TwosAndThrees', 6, 8): {0: 2367, 9: 10679, 12: 18916, 14: 8991, 15: 31012, 17: 7602, 18: 20433}, ('TwosAndThrees', 7, 1): {0: 5802, 2: 10380, 3: 10100, 4: 7689, 5: 15384, 6: 11027, 7: 9559, 8: 10304, 9: 11306, 11: 8449}, ('TwosAndThrees', 7, 2): {0: 4415, 3: 8457, 5: 9442, 6: 17093, 8: 13172, 9: 18066, 11: 9919, 12: 10454, 14: 8982}, ('TwosAndThrees', 7, 3): {0: 1263, 3: 7779, 6: 10929, 8: 10013, 9: 18045, 11: 12133, 12: 16767, 14: 8279, 15: 6674, 16: 8118}, ('TwosAndThrees', 7, 4): {0: 1713, 5: 6723, 7: 7190, 9: 14001, 11: 11007, 12: 19307, 14: 10700, 15: 12396, 16: 8577, 18: 8386}, ('TwosAndThrees', 7, 5): {0: 621, 5: 6879, 9: 9808, 11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, ('TwosAndThrees', 7, 6): {0: 9, 2: 3545, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, ('TwosAndThrees', 7, 7): {0: 1582, 9: 6971, 12: 11911, 14: 7969, 15: 22333, 17: 10123, 18: 22122, 19: 6876, 21: 10113}, ('TwosAndThrees', 7, 8): {0: 31, 5: 4682, 12: 7854, 13: 6592, 15: 20934, 17: 9621, 18: 27839, 20: 6667, 21: 15780}, ('TwosAndThrees', 8, 1): {0: 3799, 2: 7917, 3: 7840, 4: 6794, 5: 13610, 6: 10144, 7: 10309, 8: 11477, 9: 7504, 10: 11990, 12: 8616}, ('TwosAndThrees', 8, 2): {0: 902, 2: 7460, 5: 6900, 6: 13750, 8: 11961, 9: 10605, 10: 7327, 11: 11041, 12: 8197, 13: 11532, 15: 10325}, ('TwosAndThrees', 8, 3): {0: 201, 2: 5037, 6: 7036, 8: 7389, 9: 14414, 11: 11338, 12: 17189, 14: 10523, 15: 8898, 16: 9521, 18: 8454}, ('TwosAndThrees', 8, 4): {0: 1617, 6: 6867, 9: 9271, 11: 8286, 12: 16078, 14: 11359, 15: 17352, 17: 9133, 18: 10960, 20: 9077}, ('TwosAndThrees', 8, 5): {0: 16, 2: 3585, 9: 10269, 12: 12458, 14: 9578, 15: 18439, 17: 10743, 18: 16800, 20: 6621, 21: 11491}, ('TwosAndThrees', 8, 6): {0: 170, 6: 6891, 12: 8548, 14: 7037, 15: 16817, 17: 10618, 18: 20331, 20: 8749, 21: 13840, 23: 6999}, ('TwosAndThrees', 8, 7): {0: 1, 2: 3335, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 24071, 24: 7305}, ('TwosAndThrees', 8, 8): {3: 795, 11: 6938, 15: 10708, 17: 7289, 18: 21517, 20: 10020, 21: 23586, 22: 7035, 24: 12112}, ('SumOfOdds', 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, ('SumOfOdds', 1, 2): {0: 33472, 1: 11017, 3: 27886, 5: 27625}, ('SumOfOdds', 1, 3): {0: 27892, 1: 9293, 3: 23006, 5: 39809}, ('SumOfOdds', 1, 4): {0: 23060, 1: 7857, 3: 19299, 5: 49784}, ('SumOfOdds', 1, 5): {0: 19333, 1: 6559, 3: 15941, 5: 58167}, ('SumOfOdds', 1, 6): {0: 21678, 3: 13224, 5: 65098}, ('SumOfOdds', 1, 7): {0: 17840, 3: 11191, 5: 70969}, ('SumOfOdds', 1, 8): {0: 14690, 3: 9361, 5: 75949}, ('SumOfOdds', 2, 1): {0: 24611, 1: 19615, 3: 22234, 5: 16856, 6: 8312, 8: 8372}, ('SumOfOdds', 2, 2): {0: 11216, 1: 8605, 3: 24576, 5: 18558, 6: 13858, 8: 15414, 10: 7773}, ('SumOfOdds', 2, 3): {0: 13730, 3: 17055, 5: 22224, 6: 12709, 8: 18363, 10: 15919}, ('SumOfOdds', 2, 4): {0: 9599, 3: 11842, 5: 23132, 6: 11358, 8: 19129, 10: 24940}, ('SumOfOdds', 2, 5): {0: 6652, 3: 8296, 5: 22529, 6: 10020, 8: 18712, 10: 33791}, ('SumOfOdds', 2, 6): {0: 2606, 1: 7798, 5: 20970, 6: 8852, 8: 17272, 10: 42502}, ('SumOfOdds', 2, 7): {0: 7262, 5: 19160, 6: 7664, 8: 15860, 10: 50054}, ('SumOfOdds', 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618}, ('SumOfOdds', 3, 1): {0: 12467, 1: 16736, 3: 12861, 4: 8109, 5: 13902, 6: 15350, 8: 11660, 10: 8915}, ('SumOfOdds', 3, 2): {0: 8635, 3: 15579, 5: 10240, 6: 17409, 8: 15592, 9: 7284, 10: 7709, 11: 9070, 13: 8482}, ('SumOfOdds', 3, 3): {0: 5022, 3: 9030, 5: 9729, 6: 13308, 8: 21631, 10: 13273, 11: 10759, 13: 11044, 15: 6204}, ('SumOfOdds', 3, 4): {0: 1265, 1: 6995, 5: 8380, 6: 9575, 8: 18530, 10: 17343, 11: 11288, 13: 14216, 15: 12408}, ('SumOfOdds', 3, 5): {0: 4685, 5: 6682, 6: 7181, 8: 14915, 10: 19378, 11: 10985, 13: 16370, 15: 19804}, ('SumOfOdds', 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 20496, 11: 10472, 13: 17133, 15: 27548}, ('SumOfOdds', 3, 7): {0: 1481, 5: 7510, 8: 8659, 10: 20125, 11: 9495, 13: 16763, 15: 35967}, ('SumOfOdds', 3, 8): {0: 5934, 7: 6737, 10: 19242, 11: 8430, 13: 16221, 15: 43436}, ('SumOfOdds', 4, 1): {0: 6192, 1: 12678, 3: 9225, 4: 8433, 5: 11215, 6: 18550, 8: 15591, 10: 10624, 12: 7492}, ('SumOfOdds', 4, 2): {0: 1267, 1: 6707, 4: 9562, 6: 14395, 8: 11060, 9: 9721, 10: 7201, 11: 15953, 13: 8342, 14: 8226, 16: 7566}, ('SumOfOdds', 4, 3): {0: 1778, 3: 8154, 6: 8780, 8: 9018, 9: 7238, 10: 8843, 11: 15464, 13: 18030, 15: 7108, 16: 7373, 18: 8214}, ('SumOfOdds', 4, 4): {0: 2774, 5: 7977, 8: 11182, 10: 8758, 11: 13239, 13: 19483, 15: 11453, 16: 9426, 18: 9512, 20: 6196}, ('SumOfOdds', 4, 5): {0: 6619, 8: 7280, 10: 8159, 11: 10515, 13: 17578, 15: 15171, 16: 10401, 18: 12704, 20: 11573}, ('SumOfOdds', 4, 6): {0: 1748, 6: 6729, 10: 7130, 11: 8103, 13: 15290, 15: 17784, 16: 10571, 18: 14865, 20: 17780}, ('SumOfOdds', 4, 7): {0: 5048, 10: 11824, 13: 12343, 15: 19254, 16: 10290, 18: 15947, 20: 25294}, ('SumOfOdds', 4, 8): {0: 3060, 10: 8747, 13: 9912, 15: 19503, 16: 9512, 18: 16250, 20: 33016}, ('SumOfOdds', 5, 1): {0: 8257, 2: 9820, 4: 7062, 5: 8737, 6: 11185, 7: 7013, 8: 8879, 9: 14795, 11: 7319, 12: 7825, 14: 9108}, ('SumOfOdds', 5, 2): {0: 1599, 3: 7043, 6: 9517, 8: 6951, 9: 14666, 11: 10285, 12: 6880, 13: 8344, 14: 13337, 16: 7538, 17: 7051, 19: 6789}, ('SumOfOdds', 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 13: 9355, 14: 8325, 15: 6633, 16: 13969, 18: 12915, 20: 7968, 23: 3939}, ('SumOfOdds', 5, 4): {0: 246, 3: 6652, 9: 6971, 11: 9124, 13: 8276, 14: 6799, 15: 8218, 16: 13970, 18: 16440, 20: 7264, 21: 7049, 23: 8991}, ('SumOfOdds', 5, 5): {0: 4997, 10: 9128, 13: 11376, 15: 8283, 16: 12576, 18: 17548, 20: 11138, 21: 8982, 23: 9242, 25: 6730}, ('SumOfOdds', 5, 6): {0: 1746, 9: 6811, 13: 8013, 15: 7862, 16: 10647, 18: 16866, 20: 14372, 21: 9884, 23: 11945, 25: 11854}, ('SumOfOdds', 5, 7): {0: 2634, 11: 8007, 15: 6797, 16: 8325, 18: 14878, 20: 17146, 21: 10043, 23: 14100, 25: 18070}, ('SumOfOdds', 5, 8): {0: 95, 6: 6529, 15: 12097, 18: 12454, 20: 18491, 21: 9907, 23: 15254, 25: 25173}, ('SumOfOdds', 6, 1): {0: 7410, 3: 9799, 5: 6613, 6: 9118, 7: 7139, 8: 8145, 9: 8689, 10: 7075, 11: 8130, 12: 10756, 14: 7910, 16: 9216}, ('SumOfOdds', 6, 2): {0: 153, 1: 6753, 7: 6763, 9: 10513, 11: 7613, 12: 6840, 13: 7405, 14: 15279, 16: 8370, 17: 11320, 19: 8667, 21: 10324}, ('SumOfOdds', 6, 3): {0: 1606, 6: 7336, 10: 7969, 12: 10094, 14: 13221, 16: 14647, 18: 7891, 19: 12673, 21: 7711, 22: 7652, 24: 9200}, ('SumOfOdds', 6, 4): {0: 5771, 11: 9419, 14: 9943, 16: 12296, 18: 8483, 19: 7579, 20: 6653, 21: 12847, 23: 12798, 25: 9237, 28: 4974}, ('SumOfOdds', 6, 5): {0: 1626, 10: 6554, 14: 6940, 16: 9081, 18: 13910, 20: 7845, 21: 13179, 23: 15752, 25: 7754, 26: 7087, 28: 6388, 30: 3884}, ('SumOfOdds', 6, 6): {0: 5968, 15: 8985, 18: 10935, 20: 7981, 21: 12052, 23: 16882, 25: 11411, 26: 8543, 28: 9447, 30: 7796}, ('SumOfOdds', 6, 7): {0: 2314, 14: 7046, 18: 7891, 20: 7612, 21: 10285, 23: 16141, 25: 14467, 26: 9526, 28: 12043, 30: 12675}, ('SumOfOdds', 6, 8): {0: 2954, 16: 7951, 20: 6522, 21: 8203, 23: 14396, 25: 16723, 26: 10048, 28: 13964, 30: 19239}, ('SumOfOdds', 7, 1): {0: 7118, 4: 8884, 6: 6784, 7: 6543, 8: 7190, 9: 8090, 10: 7566, 11: 8138, 12: 12835, 14: 10729, 16: 7321, 18: 8802}, ('SumOfOdds', 7, 2): {0: 3167, 7: 7213, 10: 8389, 12: 11166, 14: 13742, 16: 7542, 17: 13594, 19: 7499, 20: 10496, 22: 7447, 24: 9745}, ('SumOfOdds', 7, 3): {0: 5630, 11: 9052, 14: 9360, 16: 12256, 18: 6591, 19: 13562, 21: 7920, 22: 11341, 24: 9551, 26: 7162, 28: 7575}, ('SumOfOdds', 7, 4): {0: 2220, 11: 7265, 15: 7277, 17: 8988, 19: 11926, 21: 13334, 23: 7672, 24: 12685, 26: 10835, 28: 9199, 30: 8599}, ('SumOfOdds', 7, 5): {0: 5935, 16: 8874, 19: 9145, 21: 11223, 23: 7919, 24: 7133, 25: 7033, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('SumOfOdds', 7, 6): {2: 5799, 18: 8867, 21: 8424, 23: 12902, 25: 7570, 26: 12513, 28: 15893, 30: 8537, 31: 7294, 33: 7232, 35: 4969}, ('SumOfOdds', 7, 7): {4: 6004, 20: 8618, 23: 10174, 25: 7651, 26: 11473, 28: 16014, 30: 11962, 31: 8823, 33: 10174, 35: 9107}, ('SumOfOdds', 7, 8): {0: 1, 6: 2365, 19: 6646, 23: 7527, 25: 7288, 26: 9647, 28: 15608, 30: 14871, 31: 9462, 33: 12445, 35: 14140}, ('SumOfOdds', 8, 1): {0: 378, 1: 6791, 5: 8633, 7: 11129, 9: 7107, 10: 6937, 11: 7580, 12: 7278, 13: 6521, 14: 12474, 16: 9800, 18: 6552, 20: 8820}, ('SumOfOdds', 8, 2): {0: 797, 6: 6948, 11: 6794, 13: 9599, 15: 11601, 17: 13076, 19: 7293, 20: 12487, 22: 10815, 24: 11552, 27: 9038}, ('SumOfOdds', 8, 3): {0: 2561, 11: 7695, 15: 7099, 17: 9139, 19: 11547, 21: 6969, 22: 12519, 24: 7157, 25: 11327, 27: 8869, 29: 6641, 31: 8477}, ('SumOfOdds', 8, 4): {1: 2741, 14: 7296, 18: 7355, 20: 9629, 22: 10789, 24: 12431, 26: 7943, 27: 11603, 29: 10400, 31: 12399, 34: 7414}, ('SumOfOdds', 8, 5): {1: 3, 3: 6210, 19: 8804, 22: 8054, 24: 10449, 26: 12536, 28: 7567, 29: 12781, 31: 11341, 33: 10541, 35: 7462, 38: 4252}, ('SumOfOdds', 8, 6): {4: 5763, 21: 7702, 24: 8128, 26: 10005, 28: 7465, 29: 6546, 30: 7060, 31: 12383, 33: 14068, 35: 12408, 38: 8472}, ('SumOfOdds', 8, 7): {6: 5301, 23: 8027, 26: 7391, 28: 11956, 30: 7550, 31: 12181, 33: 15650, 35: 9851, 36: 7726, 38: 8073, 40: 6294}, ('SumOfOdds', 8, 8): {4: 1, 8: 5554, 25: 7637, 28: 9115, 30: 7469, 31: 10714, 33: 16060, 35: 12876, 36: 8889, 38: 10622, 40: 11063}, ('SumOfEvens', 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, ('SumOfEvens', 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, ('SumOfEvens', 1, 3): {0: 22259, 2: 7317, 4: 35040, 6: 35384}, ('SumOfEvens', 1, 4): {0: 18511, 2: 6233, 4: 29418, 6: 45838}, ('SumOfEvens', 1, 5): {0: 15428, 2: 5146, 4: 24510, 6: 54916}, ('SumOfEvens', 1, 6): {0: 12927, 2: 4255, 4: 20115, 6: 62703}, ('SumOfEvens', 1, 7): {0: 10650, 2: 3502, 4: 17087, 6: 68761}, ('SumOfEvens', 1, 8): {0: 11920, 4: 14227, 6: 73853}, ('SumOfEvens', 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 8: 8263, 10: 8438}, ('SumOfEvens', 2, 2): {0: 11179, 2: 7503, 4: 19661, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, ('SumOfEvens', 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, ('SumOfEvens', 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, ('SumOfEvens', 2, 5): {0: 3991, 4: 7910, 6: 19247, 8: 11641, 10: 26842, 12: 30369}, ('SumOfEvens', 2, 6): {0: 2741, 4: 5313, 6: 17810, 8: 9468, 10: 25582, 12: 39086}, ('SumOfEvens', 2, 7): {0: 1905, 4: 3790, 6: 15965, 8: 7645, 10: 23307, 12: 47388}, ('SumOfEvens', 2, 8): {0: 3950, 6: 14006, 8: 6462, 10: 20879, 12: 54703}, ('SumOfEvens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 12: 7524, 14: 4668}, ('SumOfEvens', 3, 2): {0: 3666, 2: 3738, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 14: 8937, 16: 8548}, ('SumOfEvens', 3, 3): {0: 2176, 4: 5572, 6: 8576, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 12864, 18: 4316}, ('SumOfEvens', 3, 4): {0: 642, 2: 3914, 6: 6844, 8: 8218, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('SumOfEvens', 3, 5): {0: 2575, 6: 5105, 8: 5720, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, ('SumOfEvens', 3, 6): {0: 1475, 6: 3732, 8: 3796, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, ('SumOfEvens', 3, 7): {0: 862, 6: 5321, 10: 8145, 12: 18146, 14: 10985, 16: 24254, 18: 32287}, ('SumOfEvens', 3, 8): {0: 494, 6: 3730, 10: 5777, 12: 16926, 14: 9402, 16: 23114, 18: 40557}, ('SumOfEvens', 4, 1): {0: 6214, 2: 8516, 4: 12405, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 14: 6828, 16: 4295, 18: 3369}, ('SumOfEvens', 4, 2): {0: 2868, 4: 4894, 6: 8468, 8: 10702, 10: 15154, 12: 15715, 14: 14104, 16: 12485, 18: 8084, 20: 7526}, ('SumOfEvens', 4, 3): {0: 573, 4: 4781, 8: 5715, 10: 10269, 12: 12879, 14: 16224, 16: 17484, 18: 13847, 20: 10518, 22: 7710}, ('SumOfEvens', 4, 4): {0: 1119, 6: 5124, 10: 7096, 12: 10298, 14: 12763, 16: 17947, 18: 16566, 20: 13338, 22: 11215, 24: 4534}, ('SumOfEvens', 4, 5): {0: 136, 4: 3341, 10: 4716, 12: 8022, 14: 9638, 16: 16546, 18: 18045, 20: 14172, 22: 16111, 24: 9273}, ('SumOfEvens', 4, 6): {0: 991, 8: 4039, 12: 6097, 14: 7068, 16: 14021, 18: 18805, 20: 13848, 22: 20013, 24: 15118}, ('SumOfEvens', 4, 7): {0: 2931, 12: 4654, 14: 4930, 16: 11590, 18: 18952, 20: 12601, 22: 21947, 24: 22395}, ('SumOfEvens', 4, 8): {0: 1798, 12: 3395, 14: 3386, 16: 8943, 18: 18203, 20: 11505, 22: 23056, 24: 29714}, ('SumOfEvens', 5, 1): {0: 3192, 2: 5181, 4: 8648, 6: 13373, 8: 13964, 10: 14656, 12: 13468, 14: 10245, 16: 7574, 18: 4873, 20: 4826}, ('SumOfEvens', 5, 2): {0: 3217, 6: 4054, 8: 6336, 10: 9910, 12: 12184, 14: 13824, 16: 14674, 18: 12124, 20: 9742, 22: 6877, 24: 7058}, ('SumOfEvens', 5, 3): {0: 650, 6: 3254, 10: 4446, 12: 6558, 14: 10339, 16: 13128, 18: 14686, 20: 15282, 22: 13294, 24: 9361, 26: 9002}, ('SumOfEvens', 5, 4): {0: 736, 8: 3332, 12: 4093, 14: 6555, 16: 10437, 18: 12724, 20: 14710, 22: 16005, 24: 12896, 26: 9761, 28: 8751}, ('SumOfEvens', 5, 5): {0: 814, 10: 3928, 14: 4006, 16: 7635, 18: 10297, 20: 12344, 22: 16826, 24: 15490, 26: 12235, 28: 11323, 30: 5102}, ('SumOfEvens', 5, 6): {0: 1045, 12: 3999, 16: 5274, 18: 8224, 20: 9688, 22: 16041, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, ('SumOfEvens', 5, 7): {0: 2951, 16: 3465, 18: 6367, 20: 7478, 22: 13863, 24: 18114, 26: 13349, 28: 19048, 30: 15365}, ('SumOfEvens', 5, 8): {0: 249, 12: 3505, 18: 4912, 20: 5406, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, ('SumOfEvens', 6, 1): {0: 4767, 4: 5715, 6: 9535, 8: 11527, 10: 13220, 12: 13855, 14: 12217, 16: 10036, 18: 7641, 20: 5155, 22: 6332}, ('SumOfEvens', 6, 2): {0: 3379, 8: 3286, 10: 5781, 12: 8107, 14: 10495, 16: 12112, 18: 12962, 20: 12458, 22: 10842, 24: 8362, 26: 5714, 28: 6502}, ('SumOfEvens', 6, 3): {0: 1230, 10: 4741, 14: 5066, 16: 7714, 18: 10098, 20: 12628, 22: 13809, 24: 13594, 26: 11930, 28: 8967, 30: 5778, 32: 4445}, ('SumOfEvens', 6, 4): {0: 1235, 12: 4092, 16: 4678, 18: 6764, 20: 9551, 22: 12530, 24: 13471, 26: 13991, 28: 12906, 30: 9662, 32: 6534, 34: 4586}, ('SumOfEvens', 6, 5): {0: 1241, 14: 4118, 18: 4392, 20: 6604, 22: 9916, 24: 11810, 26: 13874, 28: 15232, 30: 12927, 32: 9788, 34: 10098}, ('SumOfEvens', 6, 6): {0: 1224, 16: 4254, 20: 4214, 22: 7418, 24: 9870, 26: 11838, 28: 15982, 30: 15534, 32: 12014, 34: 11679, 36: 5973}, ('SumOfEvens', 6, 7): {4: 1437, 18: 4249, 22: 5154, 24: 8221, 26: 9426, 28: 15301, 30: 17083, 32: 13001, 34: 15604, 36: 10524}, ('SumOfEvens', 6, 8): {4: 3207, 22: 3449, 24: 6361, 26: 7209, 28: 13662, 30: 18101, 32: 12842, 34: 18840, 36: 16329}, ('SumOfEvens', 7, 1): {0: 2584, 4: 3653, 6: 6451, 8: 8939, 10: 11183, 12: 12690, 14: 12463, 16: 11578, 18: 9725, 20: 7614, 22: 5306, 24: 3564, 26: 4250}, ('SumOfEvens', 7, 2): {0: 1433, 8: 4651, 12: 4933, 14: 7121, 16: 9103, 18: 10694, 20: 11747, 22: 12101, 24: 10947, 26: 9407, 28: 7140, 30: 4969, 32: 5754}, ('SumOfEvens', 7, 3): {0: 957, 12: 3394, 16: 3620, 18: 5753, 20: 8013, 22: 10305, 24: 12043, 26: 13153, 28: 12644, 30: 10884, 32: 8457, 34: 5494, 36: 5283}, ('SumOfEvens', 7, 4): {0: 1762, 16: 4828, 20: 4695, 22: 6948, 24: 9234, 26: 11605, 28: 12907, 30: 13018, 32: 11907, 34: 10022, 36: 6630, 38: 6444}, ('SumOfEvens', 7, 5): {4: 1630, 18: 4069, 22: 4347, 24: 6303, 26: 8816, 28: 11561, 30: 12713, 32: 13273, 34: 13412, 36: 10366, 38: 7212, 40: 6298}, ('SumOfEvens', 7, 6): {4: 1436, 20: 4042, 24: 4176, 26: 6057, 28: 9389, 30: 11291, 32: 12798, 34: 15385, 36: 13346, 38: 10011, 40: 8464, 42: 3605}, ('SumOfEvens', 7, 7): {6: 1304, 22: 4182, 26: 3913, 28: 7007, 30: 9525, 32: 11106, 34: 15613, 36: 15702, 38: 12021, 40: 12478, 42: 7149}, ('SumOfEvens', 7, 8): {10: 1490, 24: 4104, 28: 5058, 30: 7669, 32: 9076, 34: 14812, 36: 16970, 38: 12599, 40: 16137, 42: 12085}, ('SumOfEvens', 8, 1): {0: 373, 2: 3336, 6: 4344, 8: 6532, 10: 8598, 12: 10648, 14: 11696, 16: 11862, 18: 11145, 20: 9463, 22: 7414, 24: 5501, 26: 3771, 28: 5317}, ('SumOfEvens', 8, 2): {0: 1361, 10: 4297, 14: 4098, 16: 6135, 18: 7865, 20: 9772, 22: 10922, 24: 11148, 26: 10879, 28: 9711, 30: 8043, 32: 6058, 34: 4215, 36: 5496}, ('SumOfEvens', 8, 3): {2: 1601, 16: 4246, 20: 4428, 22: 6221, 24: 8306, 26: 10158, 28: 11561, 30: 12249, 32: 11747, 34: 10070, 36: 7860, 38: 5627, 40: 5926}, ('SumOfEvens', 8, 4): {0: 558, 16: 3763, 22: 3304, 24: 4882, 26: 6864, 28: 9047, 30: 10811, 32: 12344, 34: 12243, 36: 11307, 38: 9623, 40: 7009, 42: 4569, 44: 3676}, ('SumOfEvens', 8, 5): {4: 1798, 22: 4366, 26: 4229, 28: 6229, 30: 8178, 32: 10485, 34: 12180, 36: 12458, 38: 12260, 40: 10958, 42: 7933, 44: 5192, 46: 3734}, ('SumOfEvens', 8, 6): {6: 1453, 24: 3831, 28: 3916, 30: 5727, 32: 7846, 34: 10367, 36: 12064, 38: 12862, 40: 13920, 42: 11359, 44: 8361, 46: 8294}, ('SumOfEvens', 8, 7): {8: 1424, 26: 3618, 30: 3778, 32: 5303, 34: 8619, 36: 10651, 38: 12089, 40: 14999, 42: 13899, 44: 10574, 46: 10004, 48: 5042}, ('SumOfEvens', 8, 8): {10: 1226, 28: 3779, 32: 3565, 34: 6358, 36: 8996, 38: 10354, 40: 14996, 42: 16214, 44: 11803, 46: 13670, 48: 9039}, ('DoubleThreesAndFours', 1, 1): {0: 66749, 6: 16591, 8: 16660}, ('DoubleThreesAndFours', 1, 2): {0: 44675, 6: 27694, 8: 27631}, ('DoubleThreesAndFours', 1, 3): {0: 29592, 6: 35261, 8: 35147}, ('DoubleThreesAndFours', 1, 4): {0: 24601, 6: 29406, 8: 45993}, ('DoubleThreesAndFours', 1, 5): {0: 20499, 6: 24420, 8: 55081}, ('DoubleThreesAndFours', 1, 6): {0: 17116, 6: 20227, 8: 62657}, ('DoubleThreesAndFours', 1, 7): {0: 14193, 6: 17060, 8: 68747}, ('DoubleThreesAndFours', 1, 8): {0: 11977, 6: 13924, 8: 74099}, ('DoubleThreesAndFours', 2, 1): {0: 44382, 6: 22191, 8: 22251, 12: 2892, 14: 8284}, ('DoubleThreesAndFours', 2, 2): {0: 19720, 6: 24652, 8: 24891, 12: 7693, 14: 15403, 16: 7641}, ('DoubleThreesAndFours', 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376}, ('DoubleThreesAndFours', 2, 4): {0: 6164, 6: 14466, 8: 22828, 12: 8471, 14: 26935, 16: 21136}, ('DoubleThreesAndFours', 2, 5): {0: 4307, 6: 10005, 8: 22620, 12: 6057, 14: 26822, 16: 30189}, ('DoubleThreesAndFours', 2, 6): {0: 2879, 6: 7047, 8: 21466, 12: 4204, 14: 25326, 16: 39078}, ('DoubleThreesAndFours', 2, 7): {0: 2042, 6: 4637, 8: 19698, 12: 2846, 14: 23404, 16: 47373}, ('DoubleThreesAndFours', 2, 8): {0: 1385, 6: 3373, 8: 17795, 12: 1998, 14: 20907, 16: 54542}, ('DoubleThreesAndFours', 3, 1): {0: 29378, 6: 22335, 8: 22138, 12: 5551, 14: 11232, 16: 6113, 20: 3253}, ('DoubleThreesAndFours', 3, 2): {0: 8894, 6: 16518, 8: 16277, 12: 10334, 14: 20757, 16: 12265, 20: 6399, 22: 8556}, ('DoubleThreesAndFours', 3, 3): {0: 2643, 6: 9270, 8: 9252, 12: 11066, 14: 21922, 16: 11045, 18: 4335, 20: 12900, 22: 13101, 24: 4466}, ('DoubleThreesAndFours', 3, 4): {0: 1523, 6: 5443, 8: 8330, 12: 6223, 14: 20310, 16: 18276, 20: 11695, 22: 18521, 24: 9679}, ('DoubleThreesAndFours', 3, 5): {0: 845, 6: 3180, 8: 7038, 12: 3700, 14: 16545, 16: 20293, 20: 9740, 22: 22168, 24: 16491}, ('DoubleThreesAndFours', 3, 6): {0: 499, 6: 1774, 8: 5456, 12: 2033, 14: 12995, 16: 20914, 20: 7959, 22: 23876, 24: 24494}, ('DoubleThreesAndFours', 3, 7): {0: 1298, 8: 5434, 14: 9997, 16: 20598, 20: 5970, 22: 24010, 24: 32693}, ('DoubleThreesAndFours', 3, 8): {0: 776, 8: 3765, 14: 7514, 16: 19905, 20: 4456, 22: 23158, 24: 40426}, ('DoubleThreesAndFours', 4, 1): {0: 19809, 6: 19538, 8: 19765, 12: 7513, 14: 14835, 16: 8616, 20: 3787, 22: 6137}, ('DoubleThreesAndFours', 4, 2): {0: 3972, 6: 9759, 8: 9681, 12: 9152, 14: 18494, 16: 9182, 18: 3796, 20: 11442, 22: 11245, 24: 6728, 28: 6549}, ('DoubleThreesAndFours', 4, 3): {0: 745, 6: 3580, 8: 3629, 12: 6446, 14: 12957, 16: 6563, 18: 5181, 20: 15371, 22: 15441, 24: 6812, 26: 6250, 28: 9263, 30: 7762}, ('DoubleThreesAndFours', 4, 4): {0: 371, 6: 4491, 12: 3063, 14: 10057, 16: 10176, 20: 11583, 22: 18508, 24: 10280, 26: 4741, 28: 10883, 30: 11372, 32: 4475}, ('DoubleThreesAndFours', 4, 5): {0: 990, 8: 3424, 14: 6844, 16: 8952, 20: 8048, 22: 18097, 24: 17306, 28: 10930, 30: 16244, 32: 9165}, ('DoubleThreesAndFours', 4, 6): {0: 79, 6: 2446, 14: 4451, 16: 7542, 20: 5399, 22: 16364, 24: 18861, 28: 9736, 30: 19782, 32: 15340}, ('DoubleThreesAndFours', 4, 7): {0: 1042, 12: 3256, 16: 5909, 20: 3378, 22: 13634, 24: 20162, 28: 8204, 30: 22055, 32: 22360}, ('DoubleThreesAndFours', 4, 8): {0: 572, 12: 1938, 16: 6901, 22: 10960, 24: 20269, 28: 6551, 30: 22891, 32: 29918}, ('DoubleThreesAndFours', 5, 1): {0: 13122, 6: 16411, 8: 16451, 12: 8304, 14: 16464, 16: 10392, 20: 6145, 22: 6092, 24: 3317, 28: 3302}, ('DoubleThreesAndFours', 5, 2): {0: 1676, 6: 5469, 8: 5318, 12: 6656, 14: 13562, 16: 6786, 18: 4316, 20: 12668, 22: 12832, 24: 5636, 26: 5358, 28: 7847, 30: 7543, 34: 4333}, ('DoubleThreesAndFours', 5, 3): {0: 223, 6: 2722, 12: 3259, 14: 6384, 16: 3268, 18: 3897, 20: 11385, 22: 11613, 24: 6096, 26: 9086, 28: 13665, 30: 9486, 32: 4914, 34: 5404, 36: 5338, 38: 3260}, ('DoubleThreesAndFours', 5, 4): {0: 95, 6: 2712, 14: 4130, 16: 4732, 20: 7322, 22: 11374, 24: 6778, 26: 5595, 28: 13488, 30: 14319, 32: 7169, 34: 5245, 36: 8341, 38: 8700}, ('DoubleThreesAndFours', 5, 5): {0: 38, 6: 1295, 14: 5458, 20: 4128, 22: 9485, 24: 7483, 26: 3289, 28: 11201, 30: 16810, 32: 10248, 34: 4446, 36: 9980, 38: 11129, 40: 5010}, ('DoubleThreesAndFours', 5, 6): {0: 16, 6: 1848, 16: 4506, 22: 7062, 24: 9151, 28: 8349, 30: 17020, 32: 13519, 34: 3326, 36: 10243, 38: 15569, 40: 9391}, ('DoubleThreesAndFours', 5, 7): {0: 246, 14: 3372, 22: 4805, 24: 7632, 28: 5843, 30: 15652, 32: 18636, 36: 9333, 38: 19248, 40: 15233}, ('DoubleThreesAndFours', 5, 8): {0: 2, 6: 1477, 20: 3860, 24: 6181, 28: 3938, 30: 13694, 32: 19681, 36: 8113, 38: 21064, 40: 21990}, ('DoubleThreesAndFours', 6, 1): {0: 8738, 6: 13463, 8: 12988, 12: 8147, 14: 16506, 16: 11068, 20: 8158, 22: 11463, 26: 5157, 30: 4312}, ('DoubleThreesAndFours', 6, 2): {0: 784, 6: 5735, 12: 4564, 14: 8843, 16: 4479, 18: 3691, 20: 11349, 22: 11356, 24: 5588, 26: 6877, 28: 10790, 30: 7553, 32: 3974, 34: 4398, 36: 4501, 38: 5518}, ('DoubleThreesAndFours', 6, 3): {0: 1062, 12: 4317, 16: 3679, 20: 6930, 22: 6770, 24: 4357, 26: 8000, 28: 12114, 30: 9057, 32: 6825, 34: 9548, 36: 9738, 38: 6065, 40: 3765, 42: 3710, 44: 4063}, ('DoubleThreesAndFours', 6, 4): {0: 930, 14: 3333, 20: 3603, 22: 5673, 24: 3611, 26: 4164, 28: 10039, 30: 10836, 32: 6720, 34: 7926, 36: 12511, 38: 10194, 40: 5366, 42: 4836, 44: 5640, 46: 4618}, ('DoubleThreesAndFours', 6, 5): {0: 310, 14: 3647, 22: 3827, 24: 5198, 28: 6985, 30: 10494, 32: 7047, 34: 5449, 36: 12190, 38: 14163, 40: 7833, 42: 4738, 44: 8161, 46: 9958}, ('DoubleThreesAndFours', 6, 6): {0: 446, 16: 3780, 24: 3522, 28: 4300, 30: 8697, 32: 7204, 34: 3427, 36: 10342, 38: 16439, 40: 10795, 42: 4008, 44: 9477, 46: 11631, 48: 5932}, ('DoubleThreesAndFours', 6, 7): {0: 31, 12: 2221, 24: 5004, 30: 6708, 32: 9035, 36: 8028, 38: 16374, 40: 17005, 44: 9660, 46: 15581, 48: 10353}, ('DoubleThreesAndFours', 6, 8): {8: 388, 22: 3728, 30: 4988, 32: 7571, 36: 5846, 38: 15017, 40: 18347, 44: 9045, 46: 18638, 48: 16432}, ('DoubleThreesAndFours', 7, 1): {0: 5803, 6: 10242, 8: 10404, 12: 7634, 14: 15252, 16: 10934, 20: 9418, 22: 9715, 24: 7193, 28: 4897, 30: 4679, 34: 3829}, ('DoubleThreesAndFours', 7, 2): {0: 357, 6: 2962, 12: 2776, 14: 5631, 16: 5713, 20: 8788, 22: 8736, 24: 4687, 26: 7287, 28: 11132, 30: 7900, 32: 5286, 34: 6959, 36: 7000, 38: 4228, 40: 5800, 44: 4758}, ('DoubleThreesAndFours', 7, 3): {0: 361, 12: 3523, 20: 3613, 22: 5983, 26: 5630, 28: 8269, 30: 6641, 32: 6333, 34: 10088, 36: 10081, 38: 7494, 40: 6987, 42: 7821, 44: 6306, 46: 6547, 50: 4323}, ('DoubleThreesAndFours', 7, 4): {0: 5, 6: 1510, 20: 3966, 24: 4114, 28: 5838, 30: 6379, 32: 4601, 34: 6715, 36: 10741, 38: 9398, 40: 6630, 42: 8597, 44: 10218, 46: 7244, 48: 4033, 50: 3948, 52: 6063}, ('DoubleThreesAndFours', 7, 5): {0: 6, 6: 1267, 22: 3498, 28: 3284, 30: 5190, 32: 3707, 34: 3996, 36: 8930, 38: 10182, 40: 6767, 42: 6888, 44: 11990, 46: 11137, 48: 5993, 50: 4653, 52: 6259, 54: 6253}, ('DoubleThreesAndFours', 7, 6): {8: 499, 22: 3606, 30: 3572, 32: 5084, 36: 6292, 38: 9755, 40: 7116, 42: 5017, 44: 11451, 46: 14027, 48: 8688, 50: 4510, 52: 8339, 54: 8347, 56: 3697}, ('DoubleThreesAndFours', 7, 7): {6: 982, 26: 3267, 32: 3304, 36: 4015, 38: 8195, 40: 10376, 44: 9719, 46: 15829, 48: 11561, 50: 3831, 52: 9257, 54: 12409, 56: 7255}, ('DoubleThreesAndFours', 7, 8): {8: 42, 20: 2293, 32: 4653, 38: 6452, 40: 8616, 44: 7554, 46: 15616, 48: 17057, 52: 9418, 54: 16183, 56: 12116}, ('DoubleThreesAndFours', 8, 1): {0: 3982, 6: 7946, 8: 7712, 12: 6731, 14: 13657, 16: 6920, 18: 3314, 20: 10167, 22: 10162, 24: 4614, 26: 4302, 28: 6414, 30: 4504, 32: 4254, 36: 5321}, ('DoubleThreesAndFours', 8, 2): {0: 161, 6: 1484, 12: 1685, 14: 3393, 16: 3713, 20: 6475, 22: 6445, 24: 3639, 26: 6631, 28: 9769, 30: 7306, 32: 5644, 34: 8035, 36: 8364, 38: 5473, 40: 4617, 42: 5074, 44: 4004, 46: 4236, 50: 3852}, ('DoubleThreesAndFours', 8, 3): {0: 6, 6: 1665, 20: 4622, 26: 3379, 28: 4918, 30: 4044, 32: 4752, 34: 8086, 36: 8106, 38: 6904, 40: 7729, 42: 9356, 44: 8078, 46: 5989, 48: 6119, 50: 5725, 52: 6500, 56: 4022}, ('DoubleThreesAndFours', 8, 4): {0: 36, 12: 2795, 26: 4033, 30: 5709, 34: 4515, 36: 7211, 38: 6651, 40: 5753, 42: 8437, 44: 10354, 46: 8005, 48: 6657, 50: 7755, 52: 7763, 54: 4862, 56: 5973, 60: 3491}, ('DoubleThreesAndFours', 8, 5): {6: 1614, 28: 3410, 32: 3723, 36: 4863, 38: 5795, 40: 4470, 42: 5705, 44: 9760, 46: 9599, 48: 6812, 50: 7637, 52: 10531, 54: 8556, 56: 4701, 58: 4174, 60: 4703, 62: 3947}, ('DoubleThreesAndFours', 8, 6): {0: 119, 22: 3428, 34: 3815, 38: 4423, 40: 3520, 42: 3493, 44: 7896, 46: 9936, 48: 6877, 50: 6139, 52: 11631, 54: 12058, 56: 6986, 58: 4472, 60: 6904, 62: 8303}, ('DoubleThreesAndFours', 8, 7): {6: 2, 12: 2204, 36: 4638, 40: 4682, 44: 5588, 46: 9100, 48: 7192, 50: 4302, 52: 10602, 54: 14541, 56: 9724, 58: 4125, 60: 8403, 62: 9808, 64: 5089}, ('DoubleThreesAndFours', 8, 8): {8: 5, 20: 1769, 38: 5145, 44: 3621, 46: 7646, 48: 9806, 52: 8871, 54: 15467, 56: 12383, 58: 3339, 60: 9206, 62: 13539, 64: 9203}, ('QuadrupleOnesAndTwos', 1, 1): {0: 66567, 4: 16803, 8: 16630}, ('QuadrupleOnesAndTwos', 1, 2): {0: 44809, 4: 27448, 8: 27743}, ('QuadrupleOnesAndTwos', 1, 3): {0: 37100, 4: 23184, 8: 39716}, ('QuadrupleOnesAndTwos', 1, 4): {0: 30963, 4: 19221, 8: 49816}, ('QuadrupleOnesAndTwos', 1, 5): {0: 25316, 4: 16079, 8: 58605}, ('QuadrupleOnesAndTwos', 1, 6): {0: 21505, 4: 13237, 8: 65258}, ('QuadrupleOnesAndTwos', 1, 7): {0: 17676, 4: 11100, 8: 71224}, ('QuadrupleOnesAndTwos', 1, 8): {0: 14971, 4: 9323, 8: 75706}, ('QuadrupleOnesAndTwos', 2, 1): {0: 44566, 4: 22273, 8: 24842, 12: 5485, 16: 2834}, ('QuadrupleOnesAndTwos', 2, 2): {0: 19963, 4: 24890, 8: 32262, 12: 15172, 16: 7713}, ('QuadrupleOnesAndTwos', 2, 3): {0: 13766, 4: 17158, 8: 34907, 12: 18539, 16: 15630}, ('QuadrupleOnesAndTwos', 2, 4): {0: 9543, 4: 11981, 8: 34465, 12: 19108, 16: 24903}, ('QuadrupleOnesAndTwos', 2, 5): {0: 6472, 4: 8302, 8: 32470, 12: 18612, 16: 34144}, ('QuadrupleOnesAndTwos', 2, 6): {0: 4569, 4: 5737, 8: 29716, 12: 17216, 16: 42762}, ('QuadrupleOnesAndTwos', 2, 7): {0: 3146, 4: 3974, 8: 26489, 12: 15756, 16: 50635}, ('QuadrupleOnesAndTwos', 2, 8): {0: 2265, 4: 2724, 8: 23578, 12: 14167, 16: 57266}, ('QuadrupleOnesAndTwos', 3, 1): {0: 29440, 4: 22574, 8: 27747, 12: 11557, 16: 6892, 20: 1790}, ('QuadrupleOnesAndTwos', 3, 2): {0: 8857, 4: 16295, 8: 26434, 12: 22986, 16: 16799, 20: 6481, 24: 2148}, ('QuadrupleOnesAndTwos', 3, 3): {0: 5063, 4: 9447, 8: 22255, 12: 21685, 16: 24084, 20: 11167, 24: 6299}, ('QuadrupleOnesAndTwos', 3, 4): {0: 2864, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 24: 12448}, ('QuadrupleOnesAndTwos', 3, 5): {0: 1676, 4: 3219, 8: 13478, 12: 14755, 16: 30427, 20: 16602, 24: 19843}, ('QuadrupleOnesAndTwos', 3, 6): {0: 923, 4: 1758, 8: 10259, 12: 11326, 16: 31125, 20: 16984, 24: 27625}, ('QuadrupleOnesAndTwos', 3, 7): {0: 1688, 8: 7543, 12: 8769, 16: 29367, 20: 17085, 24: 35548}, ('QuadrupleOnesAndTwos', 3, 8): {0: 941, 8: 5277, 12: 6388, 16: 27741, 20: 16170, 24: 43483}, ('QuadrupleOnesAndTwos', 4, 1): {0: 19691, 4: 19657, 8: 27288, 12: 16126, 16: 11167, 20: 3979, 24: 2092}, ('QuadrupleOnesAndTwos', 4, 2): {0: 4023, 4: 9776, 8: 19015, 12: 22094, 16: 20986, 20: 13805, 24: 7340, 28: 2961}, ('QuadrupleOnesAndTwos', 4, 3): {0: 1848, 4: 4705, 8: 12411, 12: 16853, 16: 22831, 20: 18400, 24: 14480, 28: 5902, 32: 2570}, ('QuadrupleOnesAndTwos', 4, 4): {0: 930, 4: 2291, 8: 8084, 12: 12063, 16: 21220, 20: 19266, 24: 20615, 28: 9443, 32: 6088}, ('QuadrupleOnesAndTwos', 4, 5): {0: 1561, 8: 4963, 12: 7649, 16: 18209, 20: 17910, 24: 25474, 28: 12864, 32: 11370}, ('QuadrupleOnesAndTwos', 4, 6): {0: 722, 8: 3048, 12: 4931, 16: 14796, 20: 15416, 24: 28256, 28: 14675, 32: 18156}, ('QuadrupleOnesAndTwos', 4, 7): {0: 359, 8: 1871, 12: 3189, 16: 11547, 20: 12289, 24: 29181, 28: 16052, 32: 25512}, ('QuadrupleOnesAndTwos', 4, 8): {0: 1226, 12: 1909, 16: 8888, 20: 9679, 24: 28785, 28: 16180, 32: 33333}, ('QuadrupleOnesAndTwos', 5, 1): {0: 13112, 4: 16534, 8: 24718, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1666}, ('QuadrupleOnesAndTwos', 5, 2): {0: 1764, 4: 5529, 8: 12216, 12: 17687, 16: 20808, 20: 18149, 24: 12849, 28: 6991, 32: 4007}, ('QuadrupleOnesAndTwos', 5, 3): {0: 719, 4: 2161, 8: 6362, 12: 11074, 16: 17322, 20: 19002, 24: 18643, 28: 12827, 32: 7960, 36: 3930}, ('QuadrupleOnesAndTwos', 5, 4): {0: 1152, 8: 3209, 12: 6581, 16: 12913, 20: 15867, 24: 20749, 28: 16398, 32: 14218, 36: 5931, 40: 2982}, ('QuadrupleOnesAndTwos', 5, 5): {0: 438, 8: 1729, 12: 3480, 16: 8863, 20: 12037, 24: 20010, 28: 17568, 32: 19789, 36: 9319, 40: 6767}, ('QuadrupleOnesAndTwos', 5, 6): {0: 1064, 12: 1793, 16: 5734, 20: 8436, 24: 17830, 28: 16864, 32: 24246, 36: 12115, 40: 11918}, ('QuadrupleOnesAndTwos', 5, 7): {0: 1449, 16: 3712, 20: 5684, 24: 14936, 28: 14969, 32: 27238, 36: 14094, 40: 17918}, ('QuadrupleOnesAndTwos', 5, 8): {0: 747, 16: 2344, 20: 3690, 24: 11929, 28: 12517, 32: 28388, 36: 15339, 40: 25046}, ('QuadrupleOnesAndTwos', 6, 1): {0: 8646, 4: 13011, 8: 21357, 12: 19385, 16: 17008, 20: 10409, 24: 6249, 28: 3935}, ('QuadrupleOnesAndTwos', 6, 2): {0: 844, 4: 2876, 8: 7435, 12: 12792, 16: 17480, 20: 18814, 24: 16492, 28: 11889, 32: 6893, 36: 4485}, ('QuadrupleOnesAndTwos', 6, 3): {0: 1241, 8: 3203, 12: 6431, 16: 11685, 20: 15584, 24: 17967, 28: 16506, 32: 13314, 36: 8034, 40: 4204, 44: 1831}, ('QuadrupleOnesAndTwos', 6, 4): {0: 83, 4: 1662, 12: 3077, 16: 6727, 20: 10562, 24: 15746, 28: 17174, 32: 17787, 36: 12820, 40: 9289, 44: 5073}, ('QuadrupleOnesAndTwos', 6, 5): {0: 142, 8: 1934, 16: 3781, 20: 6466, 24: 12264, 28: 14810, 32: 19588, 36: 16002, 40: 14682, 44: 6410, 48: 3921}, ('QuadrupleOnesAndTwos', 6, 6): {0: 884, 16: 2094, 20: 3849, 24: 8774, 28: 11481, 32: 19145, 36: 16864, 40: 19906, 44: 9386, 48: 7617}, ('QuadrupleOnesAndTwos', 6, 7): {0: 1386, 20: 2123, 24: 6015, 28: 8372, 32: 17207, 36: 16148, 40: 24051, 44: 11862, 48: 12836}, ('QuadrupleOnesAndTwos', 6, 8): {0: 164, 16: 1677, 24: 3868, 28: 5738, 32: 14489, 36: 14585, 40: 26779, 44: 13821, 48: 18879}, ('QuadrupleOnesAndTwos', 7, 1): {0: 5780, 4: 10185, 8: 17905, 12: 18364, 16: 18160, 20: 13115, 24: 8617, 28: 4458, 32: 3416}, ('QuadrupleOnesAndTwos', 7, 2): {0: 1795, 8: 4327, 12: 8501, 16: 13204, 20: 16895, 24: 17562, 28: 15061, 32: 11122, 36: 6507, 40: 3259, 44: 1767}, ('QuadrupleOnesAndTwos', 7, 3): {0: 84, 4: 1981, 12: 3419, 16: 7076, 20: 11008, 24: 14839, 28: 16393, 32: 16118, 36: 12681, 40: 8773, 44: 4707, 48: 2921}, ('QuadrupleOnesAndTwos', 7, 4): {0: 125, 8: 1825, 16: 3362, 20: 6250, 24: 10535, 28: 13596, 32: 16527, 36: 15938, 40: 14071, 44: 9192, 48: 5741, 52: 2838}, ('QuadrupleOnesAndTwos', 7, 5): {0: 223, 12: 2044, 20: 3100, 24: 6337, 28: 9400, 32: 14443, 36: 15955, 40: 17820, 44: 13369, 48: 10702, 52: 4316, 56: 2291}, ('QuadrupleOnesAndTwos', 7, 6): {0: 271, 16: 2229, 24: 3747, 28: 5988, 32: 11398, 36: 13738, 40: 19063, 44: 15587, 48: 15867, 52: 7202, 56: 4910}, ('QuadrupleOnesAndTwos', 7, 7): {0: 1032, 24: 2129, 28: 3595, 32: 8275, 36: 10801, 40: 18184, 44: 16470, 48: 20467, 52: 9969, 56: 9078}, ('QuadrupleOnesAndTwos', 7, 8): {0: 1, 8: 1507, 28: 2117, 32: 5715, 36: 7770, 40: 16197, 44: 15477, 48: 24388, 52: 12403, 56: 14425}, ('QuadrupleOnesAndTwos', 8, 1): {0: 3811, 4: 7682, 8: 14638, 12: 17214, 16: 18191, 20: 14651, 24: 10976, 28: 6591, 32: 3601, 36: 2645}, ('QuadrupleOnesAndTwos', 8, 2): {0: 906, 8: 2413, 12: 5355, 16: 9421, 20: 13623, 24: 16213, 28: 16246, 32: 14131, 36: 10076, 40: 6198, 44: 3336, 48: 2082}, ('QuadrupleOnesAndTwos', 8, 3): {0: 940, 12: 1804, 16: 4021, 20: 7201, 24: 10733, 28: 13934, 32: 15751, 36: 14882, 40: 12409, 44: 8920, 48: 5462, 52: 3943}, ('QuadrupleOnesAndTwos', 8, 4): {0: 233, 12: 2060, 20: 3103, 24: 6057, 28: 9073, 32: 12990, 36: 14756, 40: 15851, 44: 13795, 48: 10706, 52: 6310, 56: 5066}, ('QuadrupleOnesAndTwos', 8, 5): {0: 254, 16: 1927, 24: 2989, 28: 5327, 32: 8993, 36: 12039, 40: 15561, 44: 15382, 48: 15278, 52: 10629, 56: 7377, 60: 4244}, ('QuadrupleOnesAndTwos', 8, 6): {4: 262, 20: 2004, 28: 2711, 32: 5606, 36: 8463, 40: 13177, 44: 14818, 48: 17731, 52: 14024, 56: 12425, 60: 5446, 64: 3333}, ('QuadrupleOnesAndTwos', 8, 7): {8: 300, 24: 2044, 32: 3399, 36: 5454, 40: 10276, 44: 12582, 48: 18487, 52: 15549, 56: 17187, 60: 8149, 64: 6573}, ('QuadrupleOnesAndTwos', 8, 8): {8: 1005, 32: 1803, 36: 3224, 40: 7484, 44: 9727, 48: 17080, 52: 15898, 56: 21877, 60: 10773, 64: 11129}, ('MicroStraight', 1, 1): {0: 100000}, ('MicroStraight', 1, 2): {0: 100000}, ('MicroStraight', 1, 3): {0: 100000}, ('MicroStraight', 1, 4): {0: 100000}, ('MicroStraight', 1, 5): {0: 100000}, ('MicroStraight', 1, 6): {0: 100000}, ('MicroStraight', 1, 7): {0: 100000}, ('MicroStraight', 1, 8): {0: 100000}, ('MicroStraight', 2, 1): {0: 72326, 10: 27674}, ('MicroStraight', 2, 2): {0: 48546, 10: 51454}, ('MicroStraight', 2, 3): {0: 32619, 10: 67381}, ('MicroStraight', 2, 4): {0: 21659, 10: 78341}, ('MicroStraight', 2, 5): {0: 14288, 10: 85712}, ('MicroStraight', 2, 6): {0: 9882, 10: 90118}, ('MicroStraight', 2, 7): {0: 6502, 10: 93498}, ('MicroStraight', 2, 8): {0: 4161, 10: 95839}, ('MicroStraight', 3, 1): {0: 41943, 10: 58057}, ('MicroStraight', 3, 2): {0: 15524, 10: 84476}, ('MicroStraight', 3, 3): {0: 5700, 10: 94300}, ('MicroStraight', 3, 4): {0: 2127, 10: 97873}, ('MicroStraight', 3, 5): {0: 744, 10: 99256}, ('MicroStraight', 3, 6): {0: 260, 10: 99740}, ('MicroStraight', 3, 7): {0: 115, 10: 99885}, ('MicroStraight', 3, 8): {0: 34, 10: 99966}, ('MicroStraight', 4, 1): {0: 22307, 10: 77693}, ('MicroStraight', 4, 2): {0: 4420, 10: 95580}, ('MicroStraight', 4, 3): {0: 806, 10: 99194}, ('MicroStraight', 4, 4): {0: 205, 10: 99795}, ('MicroStraight', 4, 5): {0: 20, 10: 99980}, ('MicroStraight', 4, 6): {0: 5, 10: 99995}, ('MicroStraight', 4, 7): {0: 1, 10: 99999}, ('MicroStraight', 4, 8): {0: 1, 10: 99999}, ('MicroStraight', 5, 1): {0: 11685, 10: 88315}, ('MicroStraight', 5, 2): {0: 1141, 10: 98859}, ('MicroStraight', 5, 3): {0: 119, 10: 99881}, ('MicroStraight', 5, 4): {0: 11, 10: 99989}, ('MicroStraight', 5, 5): {0: 1, 10: 99999}, ('MicroStraight', 5, 6): {10: 100000}, ('MicroStraight', 5, 7): {10: 100000}, ('MicroStraight', 5, 8): {10: 100000}, ('MicroStraight', 6, 1): {0: 5937, 10: 94063}, ('MicroStraight', 6, 2): {0: 307, 10: 99693}, ('MicroStraight', 6, 3): {0: 9, 10: 99991}, ('MicroStraight', 6, 4): {0: 1, 10: 99999}, ('MicroStraight', 6, 5): {10: 100000}, ('MicroStraight', 6, 6): {10: 100000}, ('MicroStraight', 6, 7): {10: 100000}, ('MicroStraight', 6, 8): {10: 100000}, ('MicroStraight', 7, 1): {0: 3072, 10: 96928}, ('MicroStraight', 7, 2): {0: 85, 10: 99915}, ('MicroStraight', 7, 3): {0: 2, 10: 99998}, ('MicroStraight', 7, 4): {10: 100000}, ('MicroStraight', 7, 5): {10: 100000}, ('MicroStraight', 7, 6): {10: 100000}, ('MicroStraight', 7, 7): {10: 100000}, ('MicroStraight', 7, 8): {10: 100000}, ('MicroStraight', 8, 1): {0: 1544, 10: 98456}, ('MicroStraight', 8, 2): {0: 15, 10: 99985}, ('MicroStraight', 8, 3): {10: 100000}, ('MicroStraight', 8, 4): {10: 100000}, ('MicroStraight', 8, 5): {10: 100000}, ('MicroStraight', 8, 6): {10: 100000}, ('MicroStraight', 8, 7): {10: 100000}, ('MicroStraight', 8, 8): {10: 100000}, ('ThreeOdds', 1, 1): {0: 100000}, ('ThreeOdds', 1, 2): {0: 100000}, ('ThreeOdds', 1, 3): {0: 100000}, ('ThreeOdds', 1, 4): {0: 100000}, ('ThreeOdds', 1, 5): {0: 100000}, ('ThreeOdds', 1, 6): {0: 100000}, ('ThreeOdds', 1, 7): {0: 100000}, ('ThreeOdds', 1, 8): {0: 100000}, ('ThreeOdds', 2, 1): {0: 100000}, ('ThreeOdds', 2, 2): {0: 100000}, ('ThreeOdds', 2, 3): {0: 100000}, ('ThreeOdds', 2, 4): {0: 100000}, ('ThreeOdds', 2, 5): {0: 100000}, ('ThreeOdds', 2, 6): {0: 100000}, ('ThreeOdds', 2, 7): {0: 100000}, ('ThreeOdds', 2, 8): {0: 100000}, ('ThreeOdds', 3, 1): {0: 87592, 20: 12408}, ('ThreeOdds', 3, 2): {0: 57855, 20: 42145}, ('ThreeOdds', 3, 3): {0: 32668, 20: 67332}, ('ThreeOdds', 3, 4): {0: 17508, 20: 82492}, ('ThreeOdds', 3, 5): {0: 9156, 20: 90844}, ('ThreeOdds', 3, 6): {0: 4572, 20: 95428}, ('ThreeOdds', 3, 7): {0: 2325, 20: 97675}, ('ThreeOdds', 3, 8): {0: 1116, 20: 98884}, ('ThreeOdds', 4, 1): {0: 68669, 20: 31331}, ('ThreeOdds', 4, 2): {0: 26140, 20: 73860}, ('ThreeOdds', 4, 3): {0: 7837, 20: 92163}, ('ThreeOdds', 4, 4): {0: 2169, 20: 97831}, ('ThreeOdds', 4, 5): {0: 516, 20: 99484}, ('ThreeOdds', 4, 6): {0: 156, 20: 99844}, ('ThreeOdds', 4, 7): {0: 40, 20: 99960}, ('ThreeOdds', 4, 8): {0: 12, 20: 99988}, ('ThreeOdds', 5, 1): {0: 49908, 20: 50092}, ('ThreeOdds', 5, 2): {0: 10373, 20: 89627}, ('ThreeOdds', 5, 3): {0: 1640, 20: 98360}, ('ThreeOdds', 5, 4): {0: 223, 20: 99777}, ('ThreeOdds', 5, 5): {0: 24, 20: 99976}, ('ThreeOdds', 5, 6): {0: 3, 20: 99997}, ('ThreeOdds', 5, 7): {0: 1, 20: 99999}, ('ThreeOdds', 5, 8): {20: 100000}, ('ThreeOdds', 6, 1): {0: 34566, 20: 65434}, ('ThreeOdds', 6, 2): {0: 3766, 20: 96234}, ('ThreeOdds', 6, 3): {0: 291, 20: 99709}, ('ThreeOdds', 6, 4): {0: 22, 20: 99978}, ('ThreeOdds', 6, 5): {20: 100000}, ('ThreeOdds', 6, 6): {20: 100000}, ('ThreeOdds', 6, 7): {20: 100000}, ('ThreeOdds', 6, 8): {20: 100000}, ('ThreeOdds', 7, 1): {0: 22722, 20: 77278}, ('ThreeOdds', 7, 2): {0: 1291, 20: 98709}, ('ThreeOdds', 7, 3): {0: 38, 20: 99962}, ('ThreeOdds', 7, 4): {0: 2, 20: 99998}, ('ThreeOdds', 7, 5): {20: 100000}, ('ThreeOdds', 7, 6): {20: 100000}, ('ThreeOdds', 7, 7): {20: 100000}, ('ThreeOdds', 7, 8): {20: 100000}, ('ThreeOdds', 8, 1): {0: 14556, 20: 85444}, ('ThreeOdds', 8, 2): {0: 430, 20: 99570}, ('ThreeOdds', 8, 3): {0: 3, 20: 99997}, ('ThreeOdds', 8, 4): {20: 100000}, ('ThreeOdds', 8, 5): {20: 100000}, ('ThreeOdds', 8, 6): {20: 100000}, ('ThreeOdds', 8, 7): {20: 100000}, ('ThreeOdds', 8, 8): {20: 100000}, ('OneTwoOneConsecutive', 1, 1): {0: 100000}, ('OneTwoOneConsecutive', 1, 2): {0: 100000}, ('OneTwoOneConsecutive', 1, 3): {0: 100000}, ('OneTwoOneConsecutive', 1, 4): {0: 100000}, ('OneTwoOneConsecutive', 1, 5): {0: 100000}, ('OneTwoOneConsecutive', 1, 6): {0: 100000}, ('OneTwoOneConsecutive', 1, 7): {0: 100000}, ('OneTwoOneConsecutive', 1, 8): {0: 100000}, ('OneTwoOneConsecutive', 2, 1): {0: 100000}, ('OneTwoOneConsecutive', 2, 2): {0: 100000}, ('OneTwoOneConsecutive', 2, 3): {0: 100000}, ('OneTwoOneConsecutive', 2, 4): {0: 100000}, ('OneTwoOneConsecutive', 2, 5): {0: 100000}, ('OneTwoOneConsecutive', 2, 6): {0: 100000}, ('OneTwoOneConsecutive', 2, 7): {0: 100000}, ('OneTwoOneConsecutive', 2, 8): {0: 100000}, ('OneTwoOneConsecutive', 3, 1): {0: 100000}, ('OneTwoOneConsecutive', 3, 2): {0: 100000}, ('OneTwoOneConsecutive', 3, 3): {0: 100000}, ('OneTwoOneConsecutive', 3, 4): {0: 100000}, ('OneTwoOneConsecutive', 3, 5): {0: 100000}, ('OneTwoOneConsecutive', 3, 6): {0: 100000}, ('OneTwoOneConsecutive', 3, 7): {0: 100000}, ('OneTwoOneConsecutive', 3, 8): {0: 100000}, ('OneTwoOneConsecutive', 4, 1): {0: 96371, 30: 3629}, ('OneTwoOneConsecutive', 4, 2): {0: 86605, 30: 13395}, ('OneTwoOneConsecutive', 4, 3): {0: 75037, 30: 24963}, ('OneTwoOneConsecutive', 4, 4): {0: 63656, 30: 36344}, ('OneTwoOneConsecutive', 4, 5): {0: 53869, 30: 46131}, ('OneTwoOneConsecutive', 4, 6): {0: 45131, 30: 54869}, ('OneTwoOneConsecutive', 4, 7): {0: 37535, 30: 62465}, ('OneTwoOneConsecutive', 4, 8): {0: 31425, 30: 68575}, ('OneTwoOneConsecutive', 5, 1): {0: 86632, 30: 13368}, ('OneTwoOneConsecutive', 5, 2): {0: 62779, 30: 37221}, ('OneTwoOneConsecutive', 5, 3): {0: 46034, 30: 53966}, ('OneTwoOneConsecutive', 5, 4): {0: 34983, 30: 65017}, ('OneTwoOneConsecutive', 5, 5): {0: 28056, 30: 71944}, ('OneTwoOneConsecutive', 5, 6): {0: 23150, 30: 76850}, ('OneTwoOneConsecutive', 5, 7): {0: 19577, 30: 80423}, ('OneTwoOneConsecutive', 5, 8): {0: 17613, 30: 82387}, ('OneTwoOneConsecutive', 6, 1): {0: 71928, 30: 28072}, ('OneTwoOneConsecutive', 6, 2): {0: 40724, 30: 59276}, ('OneTwoOneConsecutive', 6, 3): {0: 26723, 30: 73277}, ('OneTwoOneConsecutive', 6, 4): {0: 19685, 30: 80315}, ('OneTwoOneConsecutive', 6, 5): {0: 15460, 30: 84540}, ('OneTwoOneConsecutive', 6, 6): {0: 12526, 30: 87474}, ('OneTwoOneConsecutive', 6, 7): {0: 10014, 30: 89986}, ('OneTwoOneConsecutive', 6, 8): {0: 8251, 30: 91749}, ('OneTwoOneConsecutive', 7, 1): {0: 55544, 30: 44456}, ('OneTwoOneConsecutive', 7, 2): {0: 24840, 30: 75160}, ('OneTwoOneConsecutive', 7, 3): {0: 15102, 30: 84898}, ('OneTwoOneConsecutive', 7, 4): {0: 10541, 30: 89459}, ('OneTwoOneConsecutive', 7, 5): {0: 7720, 30: 92280}, ('OneTwoOneConsecutive', 7, 6): {0: 5554, 30: 94446}, ('OneTwoOneConsecutive', 7, 7): {0: 4106, 30: 95894}, ('OneTwoOneConsecutive', 7, 8): {0: 3025, 30: 96975}, ('OneTwoOneConsecutive', 8, 1): {0: 40693, 30: 59307}, ('OneTwoOneConsecutive', 8, 2): {0: 14827, 30: 85173}, ('OneTwoOneConsecutive', 8, 3): {0: 8195, 30: 91805}, ('OneTwoOneConsecutive', 8, 4): {0: 5383, 30: 94617}, ('OneTwoOneConsecutive', 8, 5): {0: 3395, 30: 96605}, ('OneTwoOneConsecutive', 8, 6): {0: 2299, 30: 97701}, ('OneTwoOneConsecutive', 8, 7): {0: 1412, 30: 98588}, ('OneTwoOneConsecutive', 8, 8): {0: 872, 30: 99128}, ('ThreeDistinctDice', 1, 1): {0: 100000}, ('ThreeDistinctDice', 1, 2): {0: 100000}, ('ThreeDistinctDice', 1, 3): {0: 100000}, ('ThreeDistinctDice', 1, 4): {0: 100000}, ('ThreeDistinctDice', 1, 5): {0: 100000}, ('ThreeDistinctDice', 1, 6): {0: 100000}, ('ThreeDistinctDice', 1, 7): {0: 100000}, ('ThreeDistinctDice', 1, 8): {0: 100000}, ('ThreeDistinctDice', 2, 1): {0: 100000}, ('ThreeDistinctDice', 2, 2): {0: 100000}, ('ThreeDistinctDice', 2, 3): {0: 100000}, ('ThreeDistinctDice', 2, 4): {0: 100000}, ('ThreeDistinctDice', 2, 5): {0: 100000}, ('ThreeDistinctDice', 2, 6): {0: 100000}, ('ThreeDistinctDice', 2, 7): {0: 100000}, ('ThreeDistinctDice', 2, 8): {0: 100000}, ('ThreeDistinctDice', 3, 1): {0: 44707, 20: 55293}, ('ThreeDistinctDice', 3, 2): {0: 15078, 20: 84922}, ('ThreeDistinctDice', 3, 3): {0: 5056, 20: 94944}, ('ThreeDistinctDice', 3, 4): {0: 1688, 20: 98312}, ('ThreeDistinctDice', 3, 5): {0: 516, 20: 99484}, ('ThreeDistinctDice', 3, 6): {0: 182, 20: 99818}, ('ThreeDistinctDice', 3, 7): {0: 56, 20: 99944}, ('ThreeDistinctDice', 3, 8): {0: 15, 20: 99985}, ('ThreeDistinctDice', 4, 1): {0: 16721, 20: 83279}, ('ThreeDistinctDice', 4, 2): {0: 1826, 20: 98174}, ('ThreeDistinctDice', 4, 3): {0: 203, 20: 99797}, ('ThreeDistinctDice', 4, 4): {0: 18, 20: 99982}, ('ThreeDistinctDice', 4, 5): {0: 3, 20: 99997}, ('ThreeDistinctDice', 4, 6): {20: 100000}, ('ThreeDistinctDice', 4, 7): {20: 100000}, ('ThreeDistinctDice', 4, 8): {20: 100000}, ('ThreeDistinctDice', 5, 1): {0: 5904, 20: 94096}, ('ThreeDistinctDice', 5, 2): {0: 236, 20: 99764}, ('ThreeDistinctDice', 5, 3): {0: 12, 20: 99988}, ('ThreeDistinctDice', 5, 4): {20: 100000}, ('ThreeDistinctDice', 5, 5): {20: 100000}, ('ThreeDistinctDice', 5, 6): {20: 100000}, ('ThreeDistinctDice', 5, 7): {20: 100000}, ('ThreeDistinctDice', 5, 8): {20: 100000}, ('ThreeDistinctDice', 6, 1): {0: 1992, 20: 98008}, ('ThreeDistinctDice', 6, 2): {0: 21, 20: 99979}, ('ThreeDistinctDice', 6, 3): {20: 100000}, ('ThreeDistinctDice', 6, 4): {20: 100000}, ('ThreeDistinctDice', 6, 5): {20: 100000}, ('ThreeDistinctDice', 6, 6): {20: 100000}, ('ThreeDistinctDice', 6, 7): {20: 100000}, ('ThreeDistinctDice', 6, 8): {20: 100000}, ('ThreeDistinctDice', 7, 1): {0: 692, 20: 99308}, ('ThreeDistinctDice', 7, 2): {0: 4, 20: 99996}, ('ThreeDistinctDice', 7, 3): {20: 100000}, ('ThreeDistinctDice', 7, 4): {20: 100000}, ('ThreeDistinctDice', 7, 5): {20: 100000}, ('ThreeDistinctDice', 7, 6): {20: 100000}, ('ThreeDistinctDice', 7, 7): {20: 100000}, ('ThreeDistinctDice', 7, 8): {20: 100000}, ('ThreeDistinctDice', 8, 1): {0: 243, 20: 99757}, ('ThreeDistinctDice', 8, 2): {0: 1, 20: 99999}, ('ThreeDistinctDice', 8, 3): {20: 100000}, ('ThreeDistinctDice', 8, 4): {20: 100000}, ('ThreeDistinctDice', 8, 5): {20: 100000}, ('ThreeDistinctDice', 8, 6): {20: 100000}, ('ThreeDistinctDice', 8, 7): {20: 100000}, ('ThreeDistinctDice', 8, 8): {20: 100000}, ('TwoPair', 1, 1): {0: 100000}, ('TwoPair', 1, 2): {0: 100000}, ('TwoPair', 1, 3): {0: 100000}, ('TwoPair', 1, 4): {0: 100000}, ('TwoPair', 1, 5): {0: 100000}, ('TwoPair', 1, 6): {0: 100000}, ('TwoPair', 1, 7): {0: 100000}, ('TwoPair', 1, 8): {0: 100000}, ('TwoPair', 2, 1): {0: 100000}, ('TwoPair', 2, 2): {0: 100000}, ('TwoPair', 2, 3): {0: 100000}, ('TwoPair', 2, 4): {0: 100000}, ('TwoPair', 2, 5): {0: 100000}, ('TwoPair', 2, 6): {0: 100000}, ('TwoPair', 2, 7): {0: 100000}, ('TwoPair', 2, 8): {0: 100000}, ('TwoPair', 3, 1): {0: 100000}, ('TwoPair', 3, 2): {0: 100000}, ('TwoPair', 3, 3): {0: 100000}, ('TwoPair', 3, 4): {0: 100000}, ('TwoPair', 3, 5): {0: 100000}, ('TwoPair', 3, 6): {0: 100000}, ('TwoPair', 3, 7): {0: 100000}, ('TwoPair', 3, 8): {0: 100000}, ('TwoPair', 4, 1): {0: 93065, 30: 6935}, ('TwoPair', 4, 2): {0: 82102, 30: 17898}, ('TwoPair', 4, 3): {0: 71209, 30: 28791}, ('TwoPair', 4, 4): {0: 61609, 30: 38391}, ('TwoPair', 4, 5): {0: 53036, 30: 46964}, ('TwoPair', 4, 6): {0: 45705, 30: 54295}, ('TwoPair', 4, 7): {0: 39398, 30: 60602}, ('TwoPair', 4, 8): {0: 33673, 30: 66327}, ('TwoPair', 5, 1): {0: 72847, 30: 27153}, ('TwoPair', 5, 2): {0: 46759, 30: 53241}, ('TwoPair', 5, 3): {0: 29462, 30: 70538}, ('TwoPair', 5, 4): {0: 18351, 30: 81649}, ('TwoPair', 5, 5): {0: 11793, 30: 88207}, ('TwoPair', 5, 6): {0: 7385, 30: 92615}, ('TwoPair', 5, 7): {0: 4610, 30: 95390}, ('TwoPair', 5, 8): {0: 2938, 30: 97062}, ('TwoPair', 6, 1): {0: 44431, 30: 55569}, ('TwoPair', 6, 2): {0: 17183, 30: 82817}, ('TwoPair', 6, 3): {0: 6759, 30: 93241}, ('TwoPair', 6, 4): {0: 2562, 30: 97438}, ('TwoPair', 6, 5): {0: 948, 30: 99052}, ('TwoPair', 6, 6): {0: 375, 30: 99625}, ('TwoPair', 6, 7): {0: 138, 30: 99862}, ('TwoPair', 6, 8): {0: 57, 30: 99943}, ('TwoPair', 7, 1): {0: 19888, 30: 80112}, ('TwoPair', 7, 2): {0: 3935, 30: 96065}, ('TwoPair', 7, 3): {0: 801, 30: 99199}, ('TwoPair', 7, 4): {0: 175, 30: 99825}, ('TwoPair', 7, 5): {0: 31, 30: 99969}, ('TwoPair', 7, 6): {0: 7, 30: 99993}, ('TwoPair', 7, 7): {0: 2, 30: 99998}, ('TwoPair', 7, 8): {30: 100000}, ('TwoPair', 8, 1): {0: 6791, 30: 93209}, ('TwoPair', 8, 2): {0: 588, 30: 99412}, ('TwoPair', 8, 3): {0: 61, 30: 99939}, ('TwoPair', 8, 4): {0: 6, 30: 99994}, ('TwoPair', 8, 5): {30: 100000}, ('TwoPair', 8, 6): {30: 100000}, ('TwoPair', 8, 7): {30: 100000}, ('TwoPair', 8, 8): {30: 100000}, ('TwoOneTwoConsecutive', 1, 1): {0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {0: 100000}, ('TwoOneTwoConsecutive', 4, 2): {0: 100000}, ('TwoOneTwoConsecutive', 4, 3): {0: 100000}, ('TwoOneTwoConsecutive', 4, 4): {0: 100000}, ('TwoOneTwoConsecutive', 4, 5): {0: 100000}, ('TwoOneTwoConsecutive', 4, 6): {0: 100000}, ('TwoOneTwoConsecutive', 4, 7): {0: 100000}, ('TwoOneTwoConsecutive', 4, 8): {0: 100000}, ('TwoOneTwoConsecutive', 5, 1): {0: 98403, 40: 1597}, ('TwoOneTwoConsecutive', 5, 2): {0: 90651, 40: 9349}, ('TwoOneTwoConsecutive', 5, 3): {0: 80100, 40: 19900}, ('TwoOneTwoConsecutive', 5, 4): {0: 69131, 40: 30869}, ('TwoOneTwoConsecutive', 5, 5): {0: 58252, 40: 41748}, ('TwoOneTwoConsecutive', 5, 6): {0: 49405, 40: 50595}, ('TwoOneTwoConsecutive', 5, 7): {0: 41585, 40: 58415}, ('TwoOneTwoConsecutive', 5, 8): {0: 34952, 40: 65048}, ('TwoOneTwoConsecutive', 6, 1): {0: 93465, 40: 6535}, ('TwoOneTwoConsecutive', 6, 2): {0: 73416, 40: 26584}, ('TwoOneTwoConsecutive', 6, 3): {0: 54041, 40: 45959}, ('TwoOneTwoConsecutive', 6, 4): {0: 38535, 40: 61465}, ('TwoOneTwoConsecutive', 6, 5): {0: 27366, 40: 72634}, ('TwoOneTwoConsecutive', 6, 6): {0: 18924, 40: 81076}, ('TwoOneTwoConsecutive', 6, 7): {0: 13387, 40: 86613}, ('TwoOneTwoConsecutive', 6, 8): {0: 9134, 40: 90866}, ('TwoOneTwoConsecutive', 7, 1): {0: 84168, 40: 15832}, ('TwoOneTwoConsecutive', 7, 2): {0: 52659, 40: 47341}, ('TwoOneTwoConsecutive', 7, 3): {0: 30435, 40: 69565}, ('TwoOneTwoConsecutive', 7, 4): {0: 17477, 40: 82523}, ('TwoOneTwoConsecutive', 7, 5): {0: 9782, 40: 90218}, ('TwoOneTwoConsecutive', 7, 6): {0: 5316, 40: 94684}, ('TwoOneTwoConsecutive', 7, 7): {0: 2995, 40: 97005}, ('TwoOneTwoConsecutive', 7, 8): {0: 1689, 40: 98311}, ('TwoOneTwoConsecutive', 8, 1): {0: 71089, 40: 28911}, ('TwoOneTwoConsecutive', 8, 2): {0: 33784, 40: 66216}, ('TwoOneTwoConsecutive', 8, 3): {0: 14820, 40: 85180}, ('TwoOneTwoConsecutive', 8, 4): {0: 6265, 40: 93735}, ('TwoOneTwoConsecutive', 8, 5): {0: 2600, 40: 97400}, ('TwoOneTwoConsecutive', 8, 6): {0: 1155, 40: 98845}, ('TwoOneTwoConsecutive', 8, 7): {0: 487, 40: 99513}, ('TwoOneTwoConsecutive', 8, 8): {0: 190, 40: 99810}, ('FiveDistinctDice', 1, 1): {0: 100000}, ('FiveDistinctDice', 1, 2): {0: 100000}, ('FiveDistinctDice', 1, 3): {0: 100000}, ('FiveDistinctDice', 1, 4): {0: 100000}, ('FiveDistinctDice', 1, 5): {0: 100000}, ('FiveDistinctDice', 1, 6): {0: 100000}, ('FiveDistinctDice', 1, 7): {0: 100000}, ('FiveDistinctDice', 1, 8): {0: 100000}, ('FiveDistinctDice', 2, 1): {0: 100000}, ('FiveDistinctDice', 2, 2): {0: 100000}, ('FiveDistinctDice', 2, 3): {0: 100000}, ('FiveDistinctDice', 2, 4): {0: 100000}, ('FiveDistinctDice', 2, 5): {0: 100000}, ('FiveDistinctDice', 2, 6): {0: 100000}, ('FiveDistinctDice', 2, 7): {0: 100000}, ('FiveDistinctDice', 2, 8): {0: 100000}, ('FiveDistinctDice', 3, 1): {0: 100000}, ('FiveDistinctDice', 3, 2): {0: 100000}, ('FiveDistinctDice', 3, 3): {0: 100000}, ('FiveDistinctDice', 3, 4): {0: 100000}, ('FiveDistinctDice', 3, 5): {0: 100000}, ('FiveDistinctDice', 3, 6): {0: 100000}, ('FiveDistinctDice', 3, 7): {0: 100000}, ('FiveDistinctDice', 3, 8): {0: 100000}, ('FiveDistinctDice', 4, 1): {0: 100000}, ('FiveDistinctDice', 4, 2): {0: 100000}, ('FiveDistinctDice', 4, 3): {0: 100000}, ('FiveDistinctDice', 4, 4): {0: 100000}, ('FiveDistinctDice', 4, 5): {0: 100000}, ('FiveDistinctDice', 4, 6): {0: 100000}, ('FiveDistinctDice', 4, 7): {0: 100000}, ('FiveDistinctDice', 4, 8): {0: 100000}, ('FiveDistinctDice', 5, 1): {0: 90907, 25: 9093}, ('FiveDistinctDice', 5, 2): {0: 68020, 25: 31980}, ('FiveDistinctDice', 5, 3): {0: 47692, 25: 52308}, ('FiveDistinctDice', 5, 4): {0: 32383, 25: 67617}, ('FiveDistinctDice', 5, 5): {0: 21631, 25: 78369}, ('FiveDistinctDice', 5, 6): {0: 14366, 25: 85634}, ('FiveDistinctDice', 5, 7): {0: 9568, 25: 90432}, ('FiveDistinctDice', 5, 8): {0: 6360, 25: 93640}, ('FiveDistinctDice', 6, 1): {0: 75051, 25: 24949}, ('FiveDistinctDice', 6, 2): {0: 38409, 25: 61591}, ('FiveDistinctDice', 6, 3): {0: 17505, 25: 82495}, ('FiveDistinctDice', 6, 4): {0: 7862, 25: 92138}, ('FiveDistinctDice', 6, 5): {0: 3538, 25: 96462}, ('FiveDistinctDice', 6, 6): {0: 1645, 25: 98355}, ('FiveDistinctDice', 6, 7): {0: 714, 25: 99286}, ('FiveDistinctDice', 6, 8): {0: 341, 25: 99659}, ('FiveDistinctDice', 7, 1): {0: 58588, 25: 41412}, ('FiveDistinctDice', 7, 2): {0: 19487, 25: 80513}, ('FiveDistinctDice', 7, 3): {0: 6043, 25: 93957}, ('FiveDistinctDice', 7, 4): {0: 1799, 25: 98201}, ('FiveDistinctDice', 7, 5): {0: 544, 25: 99456}, ('FiveDistinctDice', 7, 6): {0: 169, 25: 99831}, ('FiveDistinctDice', 7, 7): {0: 59, 25: 99941}, ('FiveDistinctDice', 7, 8): {0: 11, 25: 99989}, ('FiveDistinctDice', 8, 1): {0: 43586, 25: 56414}, ('FiveDistinctDice', 8, 2): {0: 9615, 25: 90385}, ('FiveDistinctDice', 8, 3): {0: 1944, 25: 98056}, ('FiveDistinctDice', 8, 4): {0: 383, 25: 99617}, ('FiveDistinctDice', 8, 5): {0: 77, 25: 99923}, ('FiveDistinctDice', 8, 6): {0: 18, 25: 99982}, ('FiveDistinctDice', 8, 7): {0: 3, 25: 99997}, ('FiveDistinctDice', 8, 8): {0: 2, 25: 99998}, ('FourAndFiveFullHouse', 1, 1): {0: 100000}, ('FourAndFiveFullHouse', 1, 2): {0: 100000}, ('FourAndFiveFullHouse', 1, 3): {0: 100000}, ('FourAndFiveFullHouse', 1, 4): {0: 100000}, ('FourAndFiveFullHouse', 1, 5): {0: 100000}, ('FourAndFiveFullHouse', 1, 6): {0: 100000}, ('FourAndFiveFullHouse', 1, 7): {0: 100000}, ('FourAndFiveFullHouse', 1, 8): {0: 100000}, ('FourAndFiveFullHouse', 2, 1): {0: 100000}, ('FourAndFiveFullHouse', 2, 2): {0: 100000}, ('FourAndFiveFullHouse', 2, 3): {0: 100000}, ('FourAndFiveFullHouse', 2, 4): {0: 100000}, ('FourAndFiveFullHouse', 2, 5): {0: 100000}, ('FourAndFiveFullHouse', 2, 6): {0: 100000}, ('FourAndFiveFullHouse', 2, 7): {0: 100000}, ('FourAndFiveFullHouse', 2, 8): {0: 100000}, ('FourAndFiveFullHouse', 3, 1): {0: 100000}, ('FourAndFiveFullHouse', 3, 2): {0: 100000}, ('FourAndFiveFullHouse', 3, 3): {0: 100000}, ('FourAndFiveFullHouse', 3, 4): {0: 100000}, ('FourAndFiveFullHouse', 3, 5): {0: 100000}, ('FourAndFiveFullHouse', 3, 6): {0: 100000}, ('FourAndFiveFullHouse', 3, 7): {0: 100000}, ('FourAndFiveFullHouse', 3, 8): {0: 100000}, ('FourAndFiveFullHouse', 4, 1): {0: 100000}, ('FourAndFiveFullHouse', 4, 2): {0: 100000}, ('FourAndFiveFullHouse', 4, 3): {0: 100000}, ('FourAndFiveFullHouse', 4, 4): {0: 100000}, ('FourAndFiveFullHouse', 4, 5): {0: 100000}, ('FourAndFiveFullHouse', 4, 6): {0: 100000}, ('FourAndFiveFullHouse', 4, 7): {0: 100000}, ('FourAndFiveFullHouse', 4, 8): {0: 100000}, ('FourAndFiveFullHouse', 5, 1): {0: 99724, 50: 276}, ('FourAndFiveFullHouse', 5, 2): {0: 96607, 50: 3393}, ('FourAndFiveFullHouse', 5, 3): {0: 88788, 50: 11212}, ('FourAndFiveFullHouse', 5, 4): {0: 77799, 50: 22201}, ('FourAndFiveFullHouse', 5, 5): {0: 65797, 50: 34203}, ('FourAndFiveFullHouse', 5, 6): {0: 54548, 50: 45452}, ('FourAndFiveFullHouse', 5, 7): {0: 44898, 50: 55102}, ('FourAndFiveFullHouse', 5, 8): {0: 36881, 50: 63119}, ('FourAndFiveFullHouse', 6, 1): {0: 98841, 50: 1159}, ('FourAndFiveFullHouse', 6, 2): {0: 88680, 50: 11320}, ('FourAndFiveFullHouse', 6, 3): {0: 70215, 50: 29785}, ('FourAndFiveFullHouse', 6, 4): {0: 50801, 50: 49199}, ('FourAndFiveFullHouse', 6, 5): {0: 35756, 50: 64244}, ('FourAndFiveFullHouse', 6, 6): {0: 24698, 50: 75302}, ('FourAndFiveFullHouse', 6, 7): {0: 17145, 50: 82855}, ('FourAndFiveFullHouse', 6, 8): {0: 11846, 50: 88154}, ('FourAndFiveFullHouse', 7, 1): {0: 97090, 50: 2910}, ('FourAndFiveFullHouse', 7, 2): {0: 77440, 50: 22560}, ('FourAndFiveFullHouse', 7, 3): {0: 51372, 50: 48628}, ('FourAndFiveFullHouse', 7, 4): {0: 30566, 50: 69434}, ('FourAndFiveFullHouse', 7, 5): {0: 17866, 50: 82134}, ('FourAndFiveFullHouse', 7, 6): {0: 10521, 50: 89479}, ('FourAndFiveFullHouse', 7, 7): {0: 6204, 50: 93796}, ('FourAndFiveFullHouse', 7, 8): {0: 3670, 50: 96330}, ('FourAndFiveFullHouse', 8, 1): {0: 94172, 50: 5828}, ('FourAndFiveFullHouse', 8, 2): {0: 64693, 50: 35307}, ('FourAndFiveFullHouse', 8, 3): {0: 35293, 50: 64707}, ('FourAndFiveFullHouse', 8, 4): {0: 17749, 50: 82251}, ('FourAndFiveFullHouse', 8, 5): {0: 8740, 50: 91260}, ('FourAndFiveFullHouse', 8, 6): {0: 4550, 50: 95450}, ('FourAndFiveFullHouse', 8, 7): {0: 2218, 50: 97782}, ('FourAndFiveFullHouse', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file From 4a5a79988f8ad24bbe1ab32714f15e546aaf9029 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 20:30:41 +0200 Subject: [PATCH 092/127] Adjusted max_dist, split dice_simulation function --- worlds/yachtdice/Rules.py | 36 +++++++++++++++++++----------------- worlds/yachtdice/__init__.py | 8 ++++---- 2 files changed, 23 insertions(+), 21 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 69f6a4bd67ca..51df56081191 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -154,18 +154,18 @@ def add_distributions(dist1, dist2): def max_dist(dist1, mults): new_dist = {0: 1} for mult in mults: - c = new_dist.copy() - new_dist = {} - for val1, prob1 in c.items(): + temp_dist = {} + for val1, prob1 in new_dist.items(): for val2, prob2 in dist1.items(): new_val = int(max(val1, val2 * mult)) new_prob = prob1 * prob2 # Update the probability for the new value - if new_val in new_dist: - new_dist[new_val] += new_prob + if new_val in temp_dist: + temp_dist[new_val] += new_prob else: - new_dist[new_val] = new_prob + temp_dist[new_val] = new_prob + new_dist = temp_dist return new_dist @@ -215,20 +215,22 @@ def percentile_distribution(dist, percentile): return yachtdice_cache[tup] - -def dice_simulation(state, player, options): +def dice_simulation_fill_pool(state, options): """ Returns the feasible score that one can reach with the current state, options and difficulty. """ - # if the player is called "state_is_a_list", we are filling the itempool and want to calculate anyways. - if player == "state_is_a_list": - categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) - return ( - dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value - ) - + expoints + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, "state_is_a_list", options) + return ( + dice_simulation_strings( + categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value ) + + expoints + ) + +def dice_simulation_state_change(state, player, options): + """ + Returns the feasible score that one can reach with the current state, options and difficulty. + """ if state.prog_items[player]["state_is_fresh"] == 0: state.prog_items[player]["state_is_fresh"] = 1 @@ -252,7 +254,7 @@ def set_yacht_rules(world: MultiWorld, player: int, options): for location in world.get_locations(player): set_rule( location, - lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation(state, player, options) + lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation_state_change(state, player, options) >= curscore, ) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 5a40713da2cb..e6e79e76a9f6 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -7,7 +7,7 @@ from .Items import YachtDiceItem, item_groups, item_table from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import YachtDiceOptions, yd_option_groups -from .Rules import dice_simulation, set_yacht_completion_rules, set_yacht_rules +from .Rules import dice_simulation_fill_pool, dice_simulation_state_change, set_yacht_completion_rules, set_yacht_rules class YachtDiceWeb(WebWorld): @@ -260,14 +260,14 @@ def get_item_to_add(): for _ in range(17): self.itempool.append(get_item_to_add()) - score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) + score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.options) # if we overshoot, remove items until you get below 1000, then return the last removed item if score_in_logic > 1000: removed_item = "" while score_in_logic > 1000: removed_item = self.itempool.pop() - score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) + score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.options) self.itempool.append(removed_item) else: # Keep adding items until a score of 1000 is in logic @@ -281,7 +281,7 @@ def get_item_to_add(): elif item_to_add == "100 Points": score_in_logic += 100 else: - score_in_logic = dice_simulation(self.itempool + self.precollected, "state_is_a_list", self.options) + score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.options) # count the number of locations in the game. already_items = len(self.itempool) + 1 # +1 because of Victory item From 3c9c16de7a260a195505a99884a0d2b5a57ee343 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 20:38:04 +0200 Subject: [PATCH 093/127] Removed nonlocal and pass arguments instead --- worlds/yachtdice/Rules.py | 2 ++ worlds/yachtdice/__init__.py | 11 +++-------- 2 files changed, 5 insertions(+), 8 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 51df56081191..ecbfce599f4c 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -218,6 +218,7 @@ def percentile_distribution(dist, percentile): def dice_simulation_fill_pool(state, options): """ Returns the feasible score that one can reach with the current state, options and difficulty. + This function is called with state being a list, during filling of item pool. """ categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, "state_is_a_list", options) return ( @@ -230,6 +231,7 @@ def dice_simulation_fill_pool(state, options): def dice_simulation_state_change(state, player, options): """ Returns the feasible score that one can reach with the current state, options and difficulty. + This function is called with state being a AP state object, while doing access rules. """ if state.prog_items[player]["state_is_fresh"] == 0: diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index e6e79e76a9f6..645e14029080 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -173,12 +173,7 @@ def generate_early(self): multipliers_added = 0 items_added = 0 - def get_item_to_add(): - nonlocal weights - nonlocal extra_points_added - nonlocal multipliers_added - nonlocal items_added - + def get_item_to_add(weights, extra_points_added, multipliers_added, items_added): items_added += 1 all_items = self.itempool + self.precollected @@ -258,7 +253,7 @@ def get_item_to_add(): # adding 17 items as a start seems like the smartest way to get close to 1000 points for _ in range(17): - self.itempool.append(get_item_to_add()) + self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added)) score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.options) @@ -272,7 +267,7 @@ def get_item_to_add(): else: # Keep adding items until a score of 1000 is in logic while score_in_logic < 1000: - item_to_add = get_item_to_add() + item_to_add = get_item_to_add(weights, extra_points_added, multipliers_added, items_added) self.itempool.append(item_to_add) if item_to_add == "1 Point": score_in_logic += 1 From 52693124aaef55b05e1fbb21ceb63d0a093e138d Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 20:57:22 +0200 Subject: [PATCH 094/127] Change "weight-lists" to Dict[str, float] --- worlds/yachtdice/__init__.py | 95 ++++++++++++++++++------------------ 1 file changed, 48 insertions(+), 47 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 645e14029080..0afb1af67797 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -150,24 +150,24 @@ def generate_early(self): # Yacht Dice adds items into the pool until a score of at least 1000 is reached. # the yaml contains weights, which determine how likely it is that specific items get added. # If all weights are 0, some of them will be made to be non-zero later. - weights = [ - self.options.weight_of_dice.value, - self.options.weight_of_roll.value, - self.options.weight_of_fixed_score_multiplier.value, - self.options.weight_of_step_score_multiplier.value, - self.options.weight_of_double_category.value, - self.options.weight_of_points.value, - ] + weights: Dict[str, float] = { + "Dice": self.options.weight_of_dice.value, + "Roll": self.options.weight_of_roll.value, + "Fixed Score Multiplier": self.options.weight_of_fixed_score_multiplier.value, + "Step Score Multiplier": self.options.weight_of_step_score_multiplier.value, + "Double category": self.options.weight_of_double_category.value, + "Points": self.options.weight_of_points.value, + } # if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice - if weights[0] > 0 and frags_per_dice > 1: + if weights["Dice"] > 0 and frags_per_dice > 1: self.itempool += ["Dice Fragment"] * (frags_per_dice - 1) - if weights[1] > 0 and frags_per_roll > 1: + if weights["Roll"] > 0 and frags_per_roll > 1: self.itempool += ["Roll Fragment"] * (frags_per_roll - 1) # calibrate the weights, since the impact of each of the items is different - weights[0] = weights[0] / 5 * frags_per_dice - weights[1] = weights[1] / 5 * frags_per_roll + weights["Dice"] = weights["Dice"] / 5 * frags_per_dice + weights["Roll"] = weights["Roll"] / 5 * frags_per_roll extra_points_added = 0 multipliers_added = 0 @@ -179,77 +179,78 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) all_items = self.itempool + self.precollected dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: - weights[0] = 0 # don't allow >=9 dice + weights["Dice"] = 0 # don't allow >=9 dice roll_fragments_in_pool = all_items.count("Roll") * frags_per_roll + all_items.count("Roll Fragment") if roll_fragments_in_pool + 1 >= 6 * frags_per_roll: - weights[1] = 0 # don't allow >= 6 rolls + weights["Roll"] = 0 # don't allow >= 6 rolls # Don't allow too many multipliers if multipliers_added > 50: - weights[2] = 0 - weights[3] = 0 + weights["Fixed Score Multiplier"] = 0 + weights["Step Score Multiplier"] = 0 # Don't allow too many extra points if extra_points_added > 300: - weights[5] = 0 + weights["Points"] = 0 # if all weights are zero, allow to add fixed score multiplier, double category, points. - if sum(weights) == 0: + if sum(weights.values()) == 0: if multipliers_added <= 50: - weights[2] = 1 - weights[4] = 1 + weights["Fixed Score Multiplier"] = 1 + weights["Double category"] = 1 if extra_points_added <= 300: - weights[5] = 1 + weights["Points"] = 1 # Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item - which_item_to_add = self.random.choices([0, 1, 2, 3, 4, 5], weights=weights)[0] - item_to_add = "" - if which_item_to_add == 0: - weights[0] /= 1 + frags_per_dice + which_item_to_add = self.random.choices(list(weights.keys()), weights=list(weights.values()))[0] + + + if which_item_to_add == "Dice": + weights["Dice"] /= 1 + frags_per_dice return "Dice" if frags_per_dice == 1 else "Dice Fragment" - elif which_item_to_add == 1: - weights[1] /= 1 + frags_per_roll + elif which_item_to_add == "Roll": + weights["Roll"] /= 1 + frags_per_roll return "Roll" if frags_per_roll == 1 else "Roll Fragment" - elif which_item_to_add == 2: - weights[2] /= 1.05 + elif which_item_to_add == "Fixed Score Multiplier": + weights["Fixed Score Multiplier"] /= 1.05 multipliers_added += 1 return "Fixed Score Multiplier" - elif which_item_to_add == 3: - weights[3] /= 1.1 + elif which_item_to_add == "Step Score Multiplier": + weights["Step Score Multiplier"] /= 1.1 multipliers_added += 1 return "Step Score Multiplier" - elif which_item_to_add == 4: + elif which_item_to_add == "Double category": cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] - weights[4] /= 1.1 + weights["Double category"] /= 1.1 return self.random.choices(possible_categories, weights=cat_weights)[0] - elif which_item_to_add == 5: + elif which_item_to_add == "Points": score_dist = self.options.points_size.value - probs = [1, 0, 0] + probs = { "1 Point": 1, "10 Points": 0, "100 Points": 0} if score_dist == 1: - probs = [0.9, 0.08, 0] + probs = { "1 Point": 0.9, "10 Points": 0.1, "100 Points": 0} if score_dist == 2: - probs = [0, 1, 0] + probs = { "1 Point": 0, "10 Points": 1, "100 Points": 0} if score_dist == 3: - probs = [0, 0.3, 0.7] + probs = { "1 Point": 0, "10 Points": 0.3, "100 Points": 0.7} if score_dist == 4: - probs = [0.3, 0.4, 0.3] - c = self.random.choices([0, 1, 2], weights=probs)[0] - if c == 0: - weights[5] /= 1.01 + probs = { "1 Point": 0.3, "10 Points": 0.4, "100 Points": 0.3} + choice = self.random.choices(list(probs.keys()), weights=list(probs.values()))[0] + if choice == "1 Point": + weights["Points"] /= 1.01 extra_points_added += 1 return "1 Point" - elif c == 1: - weights[5] /= 1.1 + elif choice == "10 Points": + weights["Points"] /= 1.1 extra_points_added += 10 return "10 Points" - elif c == 2: - weights[5] /= 2 + elif choice == "100 Points": + weights["Points"] /= 2 extra_points_added += 100 return "100 Points" else: raise Exception("Unknown point value (Yacht Dice)") else: - raise Exception("Invalid index when adding new items in Yacht Dice") + raise Exception(f"Invalid index when adding new items in Yacht Dice: {which_item_to_add}") # adding 17 items as a start seems like the smartest way to get close to 1000 points for _ in range(17): From 18897e84fd1960e37ce64d07d6d86969d11f84b1 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 21:16:25 +0200 Subject: [PATCH 095/127] Removed the return from ini_locations. Also added explanations to cat_weights --- worlds/yachtdice/Locations.py | 2 +- worlds/yachtdice/__init__.py | 14 +++++++------- 2 files changed, 8 insertions(+), 8 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index 0e1679edaefc..d1fd691991c7 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -65,7 +65,7 @@ def ini_locations(goal_score, max_score, number_of_locations, dif): location_table = {f"{score} score": LocData(starting_index + score, "Board", score) for score in scores} - return location_table, scores.index(goal_score) + return location_table # we need to run this function to initialize all scores from 1 to 1000, even though not all are used diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 0afb1af67797..32b3c70adc07 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -220,7 +220,10 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) multipliers_added += 1 return "Step Score Multiplier" elif which_item_to_add == "Double category": - cat_weights = [2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] + # Below entries are the weights to add each category. + # Prefer to add choice or number categories, because the other categories are too "all or nothing", + # which often don't give any points, until you get overpowered, and then they give all points. + cat_weights = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] weights["Double category"] /= 1.1 return self.random.choices(possible_categories, weights=cat_weights)[0] elif which_item_to_add == "Points": @@ -356,7 +359,7 @@ def create_items(self): def create_regions(self): # call the ini_locations function, that generates locations based on the inputs. - location_table, goal_index = ini_locations( + location_table = ini_locations( self.goal_score, self.max_score, self.number_of_locations, self.options.game_difficulty.value ) @@ -373,11 +376,8 @@ def create_regions(self): # Add the victory item to the correct location. # The website declares that the game is complete when the victory item is obtained. - board.locations[goal_index].place_locked_item(self.create_item("Victory")) - - # these will be slot_data input - self.goal_score = board.locations[goal_index].yacht_dice_score - self.max_score = board.locations[-1].yacht_dice_score + victory_location_name = f"{self.goal_score} score" + self.get_location(victory_location_name).place_locked_item(self.create_item("Victory")) # add the regions connection = Entrance(self.player, "New Board", menu) From b5c596a0757d3224c62eea6e1bcbcc152662ad7e Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 21:51:15 +0200 Subject: [PATCH 096/127] Choice options; dont'use .value (will ruff later) --- worlds/yachtdice/Rules.py | 22 +++---- worlds/yachtdice/__init__.py | 122 ++++++++++++++++++++++------------- 2 files changed, 89 insertions(+), 55 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index ecbfce599f4c..1f56c5a3b086 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -80,7 +80,7 @@ def count(self, item: str, player: Optional[str] = None) -> int: return self.item_counts[item] -def extract_progression(state, player, options): +def extract_progression(state, player, frags_per_dice, frags_per_roll): """ method to obtain a list of what items the player has. this includes categories, dice, rolls and score multiplier etc. @@ -91,11 +91,11 @@ def extract_progression(state, player, options): number_of_dice = ( state.count("Dice", player) - + state.count("Dice Fragment", player) // options.number_of_dice_fragments_per_dice.value + + state.count("Dice Fragment", player) // frags_per_dice ) number_of_rerolls = ( state.count("Roll", player) - + state.count("Roll Fragment", player) // options.number_of_roll_fragments_per_roll.value + + state.count("Roll Fragment", player) // frags_per_roll ) number_of_fixed_mults = state.count("Fixed Score Multiplier", player) number_of_step_mults = state.count("Step Score Multiplier", player) @@ -215,20 +215,20 @@ def percentile_distribution(dist, percentile): return yachtdice_cache[tup] -def dice_simulation_fill_pool(state, options): +def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, difficulty): """ Returns the feasible score that one can reach with the current state, options and difficulty. This function is called with state being a list, during filling of item pool. """ - categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, "state_is_a_list", options) + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, "state_is_a_list", frags_per_dice, frags_per_roll) return ( dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value + categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty ) + expoints ) -def dice_simulation_state_change(state, player, options): +def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, difficulty): """ Returns the feasible score that one can reach with the current state, options and difficulty. This function is called with state being a AP state object, while doing access rules. @@ -236,10 +236,10 @@ def dice_simulation_state_change(state, player, options): if state.prog_items[player]["state_is_fresh"] == 0: state.prog_items[player]["state_is_fresh"] = 1 - categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, options) + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, frags_per_dice, frags_per_roll) state.prog_items[player]["maximum_achievable_score"] = ( dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, options.game_difficulty.value + categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty ) + expoints ) @@ -248,7 +248,7 @@ def dice_simulation_state_change(state, player, options): -def set_yacht_rules(world: MultiWorld, player: int, options): +def set_yacht_rules(world: MultiWorld, player: int, frags_per_dice, frags_per_roll, difficulty): """ Sets rules on entrances and advancements that are always applied """ @@ -256,7 +256,7 @@ def set_yacht_rules(world: MultiWorld, player: int, options): for location in world.get_locations(player): set_rule( location, - lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation_state_change(state, player, options) + lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, difficulty) >= curscore, ) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 32b3c70adc07..e26b7494a708 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -6,8 +6,8 @@ from .Items import YachtDiceItem, item_groups, item_table from .Locations import YachtDiceLocation, all_locations, ini_locations -from .Options import YachtDiceOptions, yd_option_groups -from .Rules import dice_simulation_fill_pool, dice_simulation_state_change, set_yacht_completion_rules, set_yacht_rules +from .Options import YachtDiceOptions, yd_option_groups, GameDifficulty,MinimalNumberOfDiceAndRolls,PointsSize,MinimizeExtraItems,AddExtraPoints,AddStoryChapters,WhichStory,AllowManual +from .Rules import dice_simulation_fill_pool, set_yacht_completion_rules, set_yacht_rules class YachtDiceWeb(WebWorld): @@ -65,14 +65,43 @@ def generate_early(self): self.precollected = [] # number of dice and rolls in the pull - ind_dice_rolls = self.options.minimal_number_of_dice_and_rolls.value - - num_of_dice = [0, 2, 5, 5, 6, 7, 8][ind_dice_rolls] - num_of_rolls = [0, 2, 3, 5, 4, 3, 2][ind_dice_rolls] + opt_dice_and_rolls = self.options.minimal_number_of_dice_and_rolls + + if opt_dice_and_rolls == MinimalNumberOfDiceAndRolls.option_5_dice_and_3_rolls: + num_of_dice = 5 + num_of_rolls = 3 + elif opt_dice_and_rolls == MinimalNumberOfDiceAndRolls.option_5_dice_and_5_rolls: + num_of_dice = 5 + num_of_rolls = 5 + elif opt_dice_and_rolls == MinimalNumberOfDiceAndRolls.option_6_dice_and_4_rolls: + num_of_dice = 6 + num_of_rolls = 4 + elif opt_dice_and_rolls == MinimalNumberOfDiceAndRolls.option_7_dice_and_3_rolls: + num_of_dice = 7 + num_of_rolls = 3 + elif opt_dice_and_rolls == MinimalNumberOfDiceAndRolls.option_8_dice_and_2_rolls: + num_of_dice = 8 + num_of_rolls = 2 + else: + raise Exception(f"[Yacht Dice] Unknown MinimalNumberOfDiceAndRolls options {opt_dice_and_rolls}") + # amount of dice and roll fragments needed to get a dice or roll - frags_per_dice = self.options.number_of_dice_fragments_per_dice.value - frags_per_roll = self.options.number_of_roll_fragments_per_roll.value + self.frags_per_dice = self.options.number_of_dice_fragments_per_dice.value + self.frags_per_roll = self.options.number_of_roll_fragments_per_roll.value + + # set difficulty + diff_value = self.options.game_difficulty + if diff_value == GameDifficulty.option_easy: + self.difficulty = 1 + elif diff_value == GameDifficulty.option_medium: + self.difficulty = 2 + elif diff_value == GameDifficulty.option_hard: + self.difficulty = 3 + elif diff_value == GameDifficulty.option_extreme: + self.difficulty = 4 + else: + raise Exception(f"[Yacht Dice] Unknown GameDifficulty options {diff_value}") # Create a list with the specified number of 1s num_ones = self.options.alternative_categories.value @@ -120,27 +149,29 @@ def generate_early(self): self.precollected.append("Dice") # if one fragment per dice, just add "Dice" objects - if frags_per_dice == 1: + if self.frags_per_dice == 1: self.itempool += ["Dice"] * (num_of_dice - 1) # minus one because one is in start inventory else: self.itempool.append("Dice") # always add a full dice to make generation easier (will be early) - self.itempool += ["Dice Fragment"] * (frags_per_dice * (num_of_dice - 2)) + self.itempool += ["Dice Fragment"] * (self.frags_per_dice * (num_of_dice - 2)) # if one fragment per roll, just add "Roll" objects - if frags_per_roll == 1: + if self.frags_per_roll == 1: self.itempool += ["Roll"] * (num_of_rolls - 1) # minus one because one is in start inventory else: self.itempool.append("Roll") # always add a full roll to make generation easier (will be early) - self.itempool += ["Roll Fragment"] * (frags_per_roll * (num_of_rolls - 2)) + self.itempool += ["Roll Fragment"] * (self.frags_per_roll * (num_of_rolls - 2)) already_items = len(self.itempool) # Yacht Dice needs extra filler items so it doesn't get stuck in generation. # For now, we calculate the number of extra items we'll need later. - if self.options.minimize_extra_items.value: + if self.options.minimize_extra_items == MinimizeExtraItems.option_yes_please: extra_percentage = max(0.1, 0.8 - self.multiworld.players / 10) - else: + elif self.options.minimize_extra_items == MinimizeExtraItems.option_no_dont: extra_percentage = 0.7 + else: + raise Exception(f"[Yacht Dice] Unknown MinimizeExtraItems options {self.options.minimize_extra_items}") extra_locations_needed = max(10, math.ceil(already_items * extra_percentage)) # max score is the value of the last check. Goal score is the score needed to 'finish' the game @@ -160,14 +191,14 @@ def generate_early(self): } # if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice - if weights["Dice"] > 0 and frags_per_dice > 1: - self.itempool += ["Dice Fragment"] * (frags_per_dice - 1) - if weights["Roll"] > 0 and frags_per_roll > 1: - self.itempool += ["Roll Fragment"] * (frags_per_roll - 1) + if weights["Dice"] > 0 and self.frags_per_dice > 1: + self.itempool += ["Dice Fragment"] * (self.frags_per_dice - 1) + if weights["Roll"] > 0 and self.frags_per_roll > 1: + self.itempool += ["Roll Fragment"] * (self.frags_per_roll - 1) # calibrate the weights, since the impact of each of the items is different - weights["Dice"] = weights["Dice"] / 5 * frags_per_dice - weights["Roll"] = weights["Roll"] / 5 * frags_per_roll + weights["Dice"] = weights["Dice"] / 5 * self.frags_per_dice + weights["Roll"] = weights["Roll"] / 5 * self.frags_per_roll extra_points_added = 0 multipliers_added = 0 @@ -177,11 +208,11 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) items_added += 1 all_items = self.itempool + self.precollected - dice_fragments_in_pool = all_items.count("Dice") * frags_per_dice + all_items.count("Dice Fragment") - if dice_fragments_in_pool + 1 >= 9 * frags_per_dice: + dice_fragments_in_pool = all_items.count("Dice") * self.frags_per_dice + all_items.count("Dice Fragment") + if dice_fragments_in_pool + 1 >= 9 * self.frags_per_dice: weights["Dice"] = 0 # don't allow >=9 dice - roll_fragments_in_pool = all_items.count("Roll") * frags_per_roll + all_items.count("Roll Fragment") - if roll_fragments_in_pool + 1 >= 6 * frags_per_roll: + roll_fragments_in_pool = all_items.count("Roll") * self.frags_per_roll + all_items.count("Roll Fragment") + if roll_fragments_in_pool + 1 >= 6 * self.frags_per_roll: weights["Roll"] = 0 # don't allow >= 6 rolls # Don't allow too many multipliers @@ -206,11 +237,11 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) if which_item_to_add == "Dice": - weights["Dice"] /= 1 + frags_per_dice - return "Dice" if frags_per_dice == 1 else "Dice Fragment" + weights["Dice"] /= 1 + self.frags_per_dice + return "Dice" if self.frags_per_dice == 1 else "Dice Fragment" elif which_item_to_add == "Roll": - weights["Roll"] /= 1 + frags_per_roll - return "Roll" if frags_per_roll == 1 else "Roll Fragment" + weights["Roll"] /= 1 + self.frags_per_roll + return "Roll" if self.frags_per_roll == 1 else "Roll Fragment" elif which_item_to_add == "Fixed Score Multiplier": weights["Fixed Score Multiplier"] /= 1.05 multipliers_added += 1 @@ -227,16 +258,18 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) weights["Double category"] /= 1.1 return self.random.choices(possible_categories, weights=cat_weights)[0] elif which_item_to_add == "Points": - score_dist = self.options.points_size.value + score_dist = self.options.points_size probs = { "1 Point": 1, "10 Points": 0, "100 Points": 0} - if score_dist == 1: + if score_dist == PointsSize.option_small: probs = { "1 Point": 0.9, "10 Points": 0.1, "100 Points": 0} - if score_dist == 2: + elif score_dist == PointsSize.option_medium: probs = { "1 Point": 0, "10 Points": 1, "100 Points": 0} - if score_dist == 3: + elif score_dist == PointsSize.option_large: probs = { "1 Point": 0, "10 Points": 0.3, "100 Points": 0.7} - if score_dist == 4: + elif score_dist == PointsSize.option_mix: probs = { "1 Point": 0.3, "10 Points": 0.4, "100 Points": 0.3} + else: + raise Exception(f"[Yacht Dice] Unknown PointsSize options {score_dist}") choice = self.random.choices(list(probs.keys()), weights=list(probs.values()))[0] if choice == "1 Point": weights["Points"] /= 1.01 @@ -259,14 +292,14 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) for _ in range(17): self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added)) - score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.options) + score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty) # if we overshoot, remove items until you get below 1000, then return the last removed item if score_in_logic > 1000: removed_item = "" while score_in_logic > 1000: removed_item = self.itempool.pop() - score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.options) + score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty) self.itempool.append(removed_item) else: # Keep adding items until a score of 1000 is in logic @@ -280,7 +313,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) elif item_to_add == "100 Points": score_in_logic += 100 else: - score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.options) + score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty) # count the number of locations in the game. already_items = len(self.itempool) + 1 # +1 because of Victory item @@ -293,30 +326,30 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) # making sure not to exceed the number of locations. # first, we flood the entire pool with extra points (useful), if that setting is chosen. - if self.options.add_bonus_points.value == 1: # all of the extra points + if self.options.add_bonus_points == AddExtraPoints.option_all_of_it: # all of the extra points already_items = len(self.itempool) + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 100) # second, we flood the entire pool with story chapters (filler), if that setting is chosen. - if self.options.add_story_chapters.value == 1: # all of the story chapters + if self.options.add_story_chapters == AddStoryChapters.option_all_of_it: # all of the story chapters already_items = len(self.itempool) + 1 number_of_items = min(self.number_of_locations - already_items, 100) number_of_items = (number_of_items // 10) * 10 # story chapters always come in multiples of 10 self.itempool += ["Story Chapter"] * number_of_items # add some extra points (useful) - if self.options.add_bonus_points.value == 2: # add extra points if wanted + if self.options.add_bonus_points == AddExtraPoints.option_sure: # add extra points if wanted already_items = len(self.itempool) + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) # add some story chapters (filler) - if self.options.add_story_chapters.value == 2: # add extra points if wanted + if self.options.add_story_chapters == AddStoryChapters.option_sure: # add extra points if wanted already_items = len(self.itempool) + 1 if self.number_of_locations - already_items >= 10: self.itempool += ["Story Chapter"] * 10 # add some more extra points if there is still room - if self.options.add_bonus_points.value == 2: + if self.options.add_bonus_points == AddExtraPoints.option_sure: already_items = len(self.itempool) + 1 self.itempool += ["Bonus Point"] * min(self.number_of_locations - already_items, 10) @@ -332,7 +365,8 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) # these items are filler and do not do anything. # probability of Good and Bad rng, based on difficulty for fun :) - p = 1.1 - 0.25 * self.options.game_difficulty.value + + p = 1.1 - 0.25 * self.difficulty already_items = len(self.itempool) + 1 self.itempool += self.random.choices( ["Good RNG", "Bad RNG"], weights=[p, 1 - p], k=self.number_of_locations - already_items @@ -360,7 +394,7 @@ def create_items(self): def create_regions(self): # call the ini_locations function, that generates locations based on the inputs. location_table = ini_locations( - self.goal_score, self.max_score, self.number_of_locations, self.options.game_difficulty.value + self.goal_score, self.max_score, self.number_of_locations, self.difficulty ) # simple menu-board construction @@ -389,7 +423,7 @@ def set_rules(self): """ set rules per location, and add the rule for beating the game """ - set_yacht_rules(self.multiworld, self.player, self.options) + set_yacht_rules(self.multiworld, self.player, self.frags_per_dice, self.frags_per_roll, self.difficulty) set_yacht_completion_rules(self.multiworld, self.player) def fill_slot_data(self): From 5089df125fa3bbabd21450b063362ab999996761 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 22:08:34 +0200 Subject: [PATCH 097/127] Only put important options in slotdata --- worlds/yachtdice/__init__.py | 12 ------------ 1 file changed, 12 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index e26b7494a708..13b86d02ef7e 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -435,20 +435,8 @@ def fill_slot_data(self): "game_difficulty", "score_for_last_check", "score_for_goal", - "minimal_number_of_dice_and_rolls", "number_of_dice_fragments_per_dice", "number_of_roll_fragments_per_roll", - "alternative_categories", - "weight_of_dice", - "weight_of_roll", - "weight_of_fixed_score_multiplier", - "weight_of_step_score_multiplier", - "weight_of_double_category", - "weight_of_points", - "points_size", - "minimize_extra_items", - "add_bonus_points", - "add_story_chapters", "which_story", "allow_manual_input", ) From 0c020d960987189bdf6b63736ab14f0729ffae66 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 22:12:53 +0200 Subject: [PATCH 098/127] :dog: --- worlds/yachtdice/Items.py | 6 +- worlds/yachtdice/Options.py | 2 +- worlds/yachtdice/Rules.py | 55 +- worlds/yachtdice/YachtWeights.py | 4542 +++++++++++++++++++++++++++++- worlds/yachtdice/__init__.py | 49 +- 5 files changed, 4601 insertions(+), 53 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index df5edb45e0e4..d8395555bd1b 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -110,9 +110,9 @@ class YachtDiceItem(Item): "Category 4&5 Full House", }, "Points": { - "100 Points", - "10 Points", - "1 Point", + "100 Points", + "10 Points", + "1 Point", "Bonus Point" } } diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index d141677f528a..fba5a5cdbb71 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -315,7 +315,7 @@ class YachtDiceOptions(PerGameCommonOptions): ChanceOfDoubleCategory, ChanceOfPoints, PointsSize, - ], + ] ), OptionGroup( "Other items", diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 1f56c5a3b086..62379916c3c4 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -69,8 +69,6 @@ def mean_score(self, num_dice, num_rolls): return mean_score * self.quantity - - class ListState: def __init__(self, state: List[str]): self.state = state @@ -89,29 +87,29 @@ def extract_progression(state, player, frags_per_dice, frags_per_roll): if isinstance(state, list): state = ListState(state=state) - number_of_dice = ( - state.count("Dice", player) - + state.count("Dice Fragment", player) // frags_per_dice - ) - number_of_rerolls = ( - state.count("Roll", player) - + state.count("Roll Fragment", player) // frags_per_roll - ) + number_of_dice = state.count("Dice", player) + state.count("Dice Fragment", player) // frags_per_dice + number_of_rerolls = state.count("Roll", player) + state.count("Roll Fragment", player) // frags_per_roll number_of_fixed_mults = state.count("Fixed Score Multiplier", player) number_of_step_mults = state.count("Step Score Multiplier", player) - + categories = [ Category(category_value, state.count(category_name, player)) for category_name, category_value in category_mappings.items() if state.count(category_name, player) # want all categories that have count >= 1 - ] - + ] + extra_points_in_logic = state.count("1 Point", player) extra_points_in_logic += state.count("10 Points", player) * 10 extra_points_in_logic += state.count("100 Points", player) * 100 - return categories, number_of_dice, number_of_rerolls, number_of_fixed_mults * 0.1, number_of_step_mults * 0.01, extra_points_in_logic, - + return ( + categories, + number_of_dice, + number_of_rerolls, + number_of_fixed_mults * 0.1, + number_of_step_mults * 0.01, + extra_points_in_logic, + ) # We will store the results of this function as it is called often for the same parameters. @@ -211,7 +209,7 @@ def percentile_distribution(dist, percentile): # save result into the cache, then return it outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) yachtdice_cache[tup] = max(5, math.floor(outcome)) # at least 5. - + return yachtdice_cache[tup] @@ -220,13 +218,11 @@ def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, difficulty) Returns the feasible score that one can reach with the current state, options and difficulty. This function is called with state being a list, during filling of item pool. """ - categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, "state_is_a_list", frags_per_dice, frags_per_roll) - return ( - dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty - ) - + expoints + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression( + state, "state_is_a_list", frags_per_dice, frags_per_roll ) + return dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty) + expoints + def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, difficulty): """ @@ -236,18 +232,16 @@ def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, if state.prog_items[player]["state_is_fresh"] == 0: state.prog_items[player]["state_is_fresh"] = 1 - categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression(state, player, frags_per_dice, frags_per_roll) + categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression( + state, player, frags_per_dice, frags_per_roll + ) state.prog_items[player]["maximum_achievable_score"] = ( - dice_simulation_strings( - categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty - ) - + expoints + dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty) + expoints ) return state.prog_items[player]["maximum_achievable_score"] - def set_yacht_rules(world: MultiWorld, player: int, frags_per_dice, frags_per_roll, difficulty): """ Sets rules on entrances and advancements that are always applied @@ -256,7 +250,9 @@ def set_yacht_rules(world: MultiWorld, player: int, frags_per_dice, frags_per_ro for location in world.get_locations(player): set_rule( location, - lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, difficulty) + lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation_state_change( + state, player, frags_per_dice, frags_per_roll, difficulty + ) >= curscore, ) @@ -266,4 +262,3 @@ def set_yacht_completion_rules(world: MultiWorld, player: int): Sets rules on completion condition """ world.completion_condition[player] = lambda state: state.has("Victory", player) - \ No newline at end of file diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index ba3944ae9c82..0c5d7d9dfb78 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,4 +6,4544 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {('Ones', 0, 0): {0: 100000}, ('Ones', 0, 1): {0: 100000}, ('Ones', 0, 2): {0: 100000}, ('Ones', 0, 3): {0: 100000}, ('Ones', 0, 4): {0: 100000}, ('Ones', 0, 5): {0: 100000}, ('Ones', 0, 6): {0: 100000}, ('Ones', 0, 7): {0: 100000}, ('Ones', 0, 8): {0: 100000}, ('Ones', 1, 0): {0: 100000}, ('Ones', 1, 1): {0: 83416, 1: 16584}, ('Ones', 1, 2): {0: 69346, 1: 30654}, ('Ones', 1, 3): {0: 57756, 1: 42244}, ('Ones', 1, 4): {0: 48709, 1: 51291}, ('Ones', 1, 5): {0: 40214, 1: 59786}, ('Ones', 1, 6): {0: 33491, 1: 66509}, ('Ones', 1, 7): {0: 27838, 1: 72162}, ('Ones', 1, 8): {0: 23094, 1: 76906}, ('Ones', 2, 0): {0: 100000}, ('Ones', 2, 1): {0: 69715, 1: 30285}, ('Ones', 2, 2): {0: 48066, 1: 42669, 2: 9265}, ('Ones', 2, 3): {0: 33544, 1: 48585, 2: 17871}, ('Ones', 2, 4): {0: 23342, 1: 50092, 2: 26566}, ('Ones', 2, 5): {0: 16036, 1: 48250, 2: 35714}, ('Ones', 2, 6): {0: 11355, 1: 44545, 2: 44100}, ('Ones', 2, 7): {0: 7812, 1: 40248, 2: 51940}, ('Ones', 2, 8): {0: 5395, 1: 35484, 2: 59121}, ('Ones', 3, 0): {0: 100000}, ('Ones', 3, 1): {0: 57462, 1: 35151, 2: 7387}, ('Ones', 3, 2): {0: 33327, 1: 44253, 2: 22420}, ('Ones', 3, 3): {0: 19432, 1: 42237, 2: 30821, 3: 7510}, ('Ones', 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ('Ones', 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, ('Ones', 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, ('Ones', 3, 7): {0: 2134, 1: 16717, 2: 43782, 3: 37367}, ('Ones', 3, 8): {0: 1280, 1: 12567, 2: 40951, 3: 45202}, ('Ones', 4, 0): {0: 100000}, ('Ones', 4, 1): {0: 48178, 1: 38635, 2: 13187}, ('Ones', 4, 2): {0: 23349, 1: 40775, 2: 26967, 3: 8909}, ('Ones', 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, ('Ones', 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 26943, 4: 7214}, ('Ones', 4, 5): {0: 2640, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, ('Ones', 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, ('Ones', 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, ('Ones', 4, 8): {0: 4228, 2: 19045, 3: 42267, 4: 34460}, ('Ones', 5, 0): {0: 100000}, ('Ones', 5, 1): {0: 40042, 1: 40202, 2: 19756}, ('Ones', 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, ('Ones', 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 24952, 4: 10435}, ('Ones', 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, ('Ones', 5, 5): {0: 1079, 1: 7704, 2: 23245, 3: 34614, 4: 25625, 5: 7733}, ('Ones', 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, ('Ones', 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, ('Ones', 5, 8): {0: 1167, 2: 7382, 3: 24639, 4: 40166, 5: 26646}, ('Ones', 6, 0): {0: 100000}, ('Ones', 6, 1): {0: 33501, 1: 40042, 2: 26457}, ('Ones', 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 19350, 4: 7577}, ('Ones', 6, 3): {0: 3764, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, ('Ones', 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, ('Ones', 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, ('Ones', 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, ('Ones', 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, ('Ones', 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, ('Ones', 7, 0): {0: 100000}, ('Ones', 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, ('Ones', 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, ('Ones', 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, ('Ones', 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 17986, 6: 7490}, ('Ones', 7, 5): {0: 1947, 2: 7907, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, ('Ones', 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, ('Ones', 7, 7): {0: 2032, 3: 7943, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, ('Ones', 7, 8): {0: 5519, 4: 15425, 5: 30293, 6: 33357, 7: 15406}, ('Ones', 8, 0): {0: 100000}, ('Ones', 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, ('Ones', 8, 2): {0: 5472, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, ('Ones', 8, 3): {0: 1209, 1: 7452, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, ('Ones', 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, ('Ones', 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, ('Ones', 8, 6): {0: 1971, 3: 6901, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, ('Ones', 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 22673, 8: 7330}, ('Ones', 8, 8): {0: 2078, 4: 7029, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, ('Twos', 0, 0): {0: 100000}, ('Twos', 0, 1): {0: 100000}, ('Twos', 0, 2): {0: 100000}, ('Twos', 0, 3): {0: 100000}, ('Twos', 0, 4): {0: 100000}, ('Twos', 0, 5): {0: 100000}, ('Twos', 0, 6): {0: 100000}, ('Twos', 0, 7): {0: 100000}, ('Twos', 0, 8): {0: 100000}, ('Twos', 1, 0): {0: 100000}, ('Twos', 1, 1): {0: 83475, 2: 16525}, ('Twos', 1, 2): {0: 69690, 2: 30310}, ('Twos', 1, 3): {0: 57818, 2: 42182}, ('Twos', 1, 4): {0: 48418, 2: 51582}, ('Twos', 1, 5): {0: 40301, 2: 59699}, ('Twos', 1, 6): {0: 33558, 2: 66442}, ('Twos', 1, 7): {0: 28182, 2: 71818}, ('Twos', 1, 8): {0: 23406, 2: 76594}, ('Twos', 2, 0): {0: 100000}, ('Twos', 2, 1): {0: 69724, 2: 30276}, ('Twos', 2, 2): {0: 48238, 2: 42479, 4: 9283}, ('Twos', 2, 3): {0: 33290, 2: 48819, 4: 17891}, ('Twos', 2, 4): {0: 23136, 2: 49957, 4: 26907}, ('Twos', 2, 5): {0: 16146, 2: 48200, 4: 35654}, ('Twos', 2, 6): {0: 11083, 2: 44497, 4: 44420}, ('Twos', 2, 7): {0: 7662, 2: 40343, 4: 51995}, ('Twos', 2, 8): {0: 5354, 2: 35526, 4: 59120}, ('Twos', 3, 0): {0: 100000}, ('Twos', 3, 1): {0: 58021, 2: 34522, 4: 7457}, ('Twos', 3, 2): {0: 33548, 2: 44261, 4: 22191}, ('Twos', 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, ('Twos', 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, ('Twos', 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, ('Twos', 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, ('Twos', 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, ('Twos', 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, ('Twos', 4, 0): {0: 100000}, ('Twos', 4, 1): {0: 48235, 2: 38602, 4: 13163}, ('Twos', 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, ('Twos', 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, ('Twos', 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, ('Twos', 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, ('Twos', 4, 6): {0: 1259, 2: 9910, 4: 29706, 6: 39523, 8: 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('TwosAndThrees', 3, 3): {0: 9889, 2: 7547, 3: 28958, 5: 13522, 6: 24863, 7: 7881, 9: 7340}, ('TwosAndThrees', 3, 4): {0: 5717, 2: 4245, 3: 24072, 5: 11617, 6: 32865, 8: 7719, 9: 13765}, ('TwosAndThrees', 3, 5): {0: 5795, 3: 19123, 5: 9296, 6: 35708, 8: 8683, 9: 21395}, ('TwosAndThrees', 3, 6): {0: 3273, 3: 14740, 5: 7148, 6: 36387, 8: 8820, 9: 29632}, ('TwosAndThrees', 3, 7): {0: 1917, 3: 16239, 6: 35604, 8: 8739, 9: 37501}, ('TwosAndThrees', 3, 8): {0: 1124, 3: 12222, 6: 33537, 8: 8018, 9: 45099}, ('TwosAndThrees', 4, 1): {0: 19619, 2: 19764, 3: 19811, 4: 7306, 5: 14893, 6: 8721, 7: 9886}, ('TwosAndThrees', 4, 2): {0: 9395, 2: 9519, 3: 24407, 5: 15873, 6: 21959, 8: 8667, 9: 10180}, ('TwosAndThrees', 4, 3): {0: 4538, 2: 4676, 3: 18292, 5: 12541, 6: 26350, 8: 11445, 9: 15471, 11: 6687}, ('TwosAndThrees', 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 21496, 10: 6859, 12: 7183}, ('TwosAndThrees', 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 29121, 11: 6926, 12: 12776}, ('TwosAndThrees', 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 32849, 11: 7894, 12: 19495}, ('TwosAndThrees', 4, 7): {0: 224, 2: 6086, 6: 16140, 8: 7881, 9: 34297, 11: 8601, 12: 26771}, ('TwosAndThrees', 4, 8): {0: 123, 2: 3571, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, ('TwosAndThrees', 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, ('TwosAndThrees', 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, ('TwosAndThrees', 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, ('TwosAndThrees', 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 15422, 14: 7246}, ('TwosAndThrees', 5, 5): {0: 781, 3: 6624, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 20783, 13: 6512, 15: 7632}, ('TwosAndThrees', 5, 6): {0: 123, 2: 3622, 6: 9065, 8: 6610, 9: 22902, 11: 10593, 12: 27521, 14: 6551, 15: 13013}, ('TwosAndThrees', 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 31332, 14: 7512, 15: 19396}, ('TwosAndThrees', 5, 8): {0: 986, 6: 6740, 9: 16186, 11: 7771, 12: 33474, 14: 7963, 15: 26880}, ('TwosAndThrees', 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 13500, 10: 7359}, ('TwosAndThrees', 6, 2): {0: 2944, 2: 4382, 3: 12512, 5: 11978, 6: 20178, 8: 13344, 9: 16448, 11: 7676, 12: 10538}, ('TwosAndThrees', 6, 3): {0: 977, 2: 7869, 5: 6758, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, ('TwosAndThrees', 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, ('TwosAndThrees', 6, 5): {0: 1610, 5: 7206, 7: 6521, 9: 16495, 11: 10563, 12: 23042, 14: 10049, 15: 16281, 17: 8233}, ('TwosAndThrees', 6, 6): {0: 1362, 6: 7145, 9: 12670, 11: 8492, 12: 23467, 14: 10649, 15: 21066, 16: 6581, 18: 8568}, ('TwosAndThrees', 6, 7): {0: 14, 2: 4631, 9: 8281, 10: 6929, 12: 21906, 14: 10107, 15: 27360, 17: 6654, 18: 14118}, ('TwosAndThrees', 6, 8): {0: 2367, 9: 10679, 12: 18916, 14: 8991, 15: 31012, 17: 7602, 18: 20433}, ('TwosAndThrees', 7, 1): {0: 5802, 2: 10380, 3: 10100, 4: 7689, 5: 15384, 6: 11027, 7: 9559, 8: 10304, 9: 11306, 11: 8449}, ('TwosAndThrees', 7, 2): {0: 4415, 3: 8457, 5: 9442, 6: 17093, 8: 13172, 9: 18066, 11: 9919, 12: 10454, 14: 8982}, ('TwosAndThrees', 7, 3): {0: 1263, 3: 7779, 6: 10929, 8: 10013, 9: 18045, 11: 12133, 12: 16767, 14: 8279, 15: 6674, 16: 8118}, ('TwosAndThrees', 7, 4): {0: 1713, 5: 6723, 7: 7190, 9: 14001, 11: 11007, 12: 19307, 14: 10700, 15: 12396, 16: 8577, 18: 8386}, ('TwosAndThrees', 7, 5): {0: 621, 5: 6879, 9: 9808, 11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, ('TwosAndThrees', 7, 6): {0: 9, 2: 3545, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, ('TwosAndThrees', 7, 7): {0: 1582, 9: 6971, 12: 11911, 14: 7969, 15: 22333, 17: 10123, 18: 22122, 19: 6876, 21: 10113}, ('TwosAndThrees', 7, 8): {0: 31, 5: 4682, 12: 7854, 13: 6592, 15: 20934, 17: 9621, 18: 27839, 20: 6667, 21: 15780}, ('TwosAndThrees', 8, 1): {0: 3799, 2: 7917, 3: 7840, 4: 6794, 5: 13610, 6: 10144, 7: 10309, 8: 11477, 9: 7504, 10: 11990, 12: 8616}, ('TwosAndThrees', 8, 2): {0: 902, 2: 7460, 5: 6900, 6: 13750, 8: 11961, 9: 10605, 10: 7327, 11: 11041, 12: 8197, 13: 11532, 15: 10325}, ('TwosAndThrees', 8, 3): {0: 201, 2: 5037, 6: 7036, 8: 7389, 9: 14414, 11: 11338, 12: 17189, 14: 10523, 15: 8898, 16: 9521, 18: 8454}, ('TwosAndThrees', 8, 4): {0: 1617, 6: 6867, 9: 9271, 11: 8286, 12: 16078, 14: 11359, 15: 17352, 17: 9133, 18: 10960, 20: 9077}, ('TwosAndThrees', 8, 5): {0: 16, 2: 3585, 9: 10269, 12: 12458, 14: 9578, 15: 18439, 17: 10743, 18: 16800, 20: 6621, 21: 11491}, ('TwosAndThrees', 8, 6): {0: 170, 6: 6891, 12: 8548, 14: 7037, 15: 16817, 17: 10618, 18: 20331, 20: 8749, 21: 13840, 23: 6999}, ('TwosAndThrees', 8, 7): {0: 1, 2: 3335, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 24071, 24: 7305}, ('TwosAndThrees', 8, 8): {3: 795, 11: 6938, 15: 10708, 17: 7289, 18: 21517, 20: 10020, 21: 23586, 22: 7035, 24: 12112}, ('SumOfOdds', 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, ('SumOfOdds', 1, 2): {0: 33472, 1: 11017, 3: 27886, 5: 27625}, ('SumOfOdds', 1, 3): {0: 27892, 1: 9293, 3: 23006, 5: 39809}, ('SumOfOdds', 1, 4): {0: 23060, 1: 7857, 3: 19299, 5: 49784}, ('SumOfOdds', 1, 5): {0: 19333, 1: 6559, 3: 15941, 5: 58167}, ('SumOfOdds', 1, 6): {0: 21678, 3: 13224, 5: 65098}, ('SumOfOdds', 1, 7): {0: 17840, 3: 11191, 5: 70969}, ('SumOfOdds', 1, 8): {0: 14690, 3: 9361, 5: 75949}, ('SumOfOdds', 2, 1): {0: 24611, 1: 19615, 3: 22234, 5: 16856, 6: 8312, 8: 8372}, ('SumOfOdds', 2, 2): {0: 11216, 1: 8605, 3: 24576, 5: 18558, 6: 13858, 8: 15414, 10: 7773}, ('SumOfOdds', 2, 3): {0: 13730, 3: 17055, 5: 22224, 6: 12709, 8: 18363, 10: 15919}, ('SumOfOdds', 2, 4): {0: 9599, 3: 11842, 5: 23132, 6: 11358, 8: 19129, 10: 24940}, ('SumOfOdds', 2, 5): {0: 6652, 3: 8296, 5: 22529, 6: 10020, 8: 18712, 10: 33791}, ('SumOfOdds', 2, 6): {0: 2606, 1: 7798, 5: 20970, 6: 8852, 8: 17272, 10: 42502}, ('SumOfOdds', 2, 7): {0: 7262, 5: 19160, 6: 7664, 8: 15860, 10: 50054}, ('SumOfOdds', 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618}, ('SumOfOdds', 3, 1): {0: 12467, 1: 16736, 3: 12861, 4: 8109, 5: 13902, 6: 15350, 8: 11660, 10: 8915}, ('SumOfOdds', 3, 2): {0: 8635, 3: 15579, 5: 10240, 6: 17409, 8: 15592, 9: 7284, 10: 7709, 11: 9070, 13: 8482}, ('SumOfOdds', 3, 3): {0: 5022, 3: 9030, 5: 9729, 6: 13308, 8: 21631, 10: 13273, 11: 10759, 13: 11044, 15: 6204}, ('SumOfOdds', 3, 4): {0: 1265, 1: 6995, 5: 8380, 6: 9575, 8: 18530, 10: 17343, 11: 11288, 13: 14216, 15: 12408}, ('SumOfOdds', 3, 5): {0: 4685, 5: 6682, 6: 7181, 8: 14915, 10: 19378, 11: 10985, 13: 16370, 15: 19804}, ('SumOfOdds', 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 20496, 11: 10472, 13: 17133, 15: 27548}, ('SumOfOdds', 3, 7): {0: 1481, 5: 7510, 8: 8659, 10: 20125, 11: 9495, 13: 16763, 15: 35967}, ('SumOfOdds', 3, 8): {0: 5934, 7: 6737, 10: 19242, 11: 8430, 13: 16221, 15: 43436}, ('SumOfOdds', 4, 1): {0: 6192, 1: 12678, 3: 9225, 4: 8433, 5: 11215, 6: 18550, 8: 15591, 10: 10624, 12: 7492}, ('SumOfOdds', 4, 2): {0: 1267, 1: 6707, 4: 9562, 6: 14395, 8: 11060, 9: 9721, 10: 7201, 11: 15953, 13: 8342, 14: 8226, 16: 7566}, ('SumOfOdds', 4, 3): {0: 1778, 3: 8154, 6: 8780, 8: 9018, 9: 7238, 10: 8843, 11: 15464, 13: 18030, 15: 7108, 16: 7373, 18: 8214}, ('SumOfOdds', 4, 4): {0: 2774, 5: 7977, 8: 11182, 10: 8758, 11: 13239, 13: 19483, 15: 11453, 16: 9426, 18: 9512, 20: 6196}, ('SumOfOdds', 4, 5): {0: 6619, 8: 7280, 10: 8159, 11: 10515, 13: 17578, 15: 15171, 16: 10401, 18: 12704, 20: 11573}, ('SumOfOdds', 4, 6): {0: 1748, 6: 6729, 10: 7130, 11: 8103, 13: 15290, 15: 17784, 16: 10571, 18: 14865, 20: 17780}, ('SumOfOdds', 4, 7): {0: 5048, 10: 11824, 13: 12343, 15: 19254, 16: 10290, 18: 15947, 20: 25294}, ('SumOfOdds', 4, 8): {0: 3060, 10: 8747, 13: 9912, 15: 19503, 16: 9512, 18: 16250, 20: 33016}, ('SumOfOdds', 5, 1): {0: 8257, 2: 9820, 4: 7062, 5: 8737, 6: 11185, 7: 7013, 8: 8879, 9: 14795, 11: 7319, 12: 7825, 14: 9108}, ('SumOfOdds', 5, 2): {0: 1599, 3: 7043, 6: 9517, 8: 6951, 9: 14666, 11: 10285, 12: 6880, 13: 8344, 14: 13337, 16: 7538, 17: 7051, 19: 6789}, ('SumOfOdds', 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 13: 9355, 14: 8325, 15: 6633, 16: 13969, 18: 12915, 20: 7968, 23: 3939}, ('SumOfOdds', 5, 4): {0: 246, 3: 6652, 9: 6971, 11: 9124, 13: 8276, 14: 6799, 15: 8218, 16: 13970, 18: 16440, 20: 7264, 21: 7049, 23: 8991}, ('SumOfOdds', 5, 5): {0: 4997, 10: 9128, 13: 11376, 15: 8283, 16: 12576, 18: 17548, 20: 11138, 21: 8982, 23: 9242, 25: 6730}, ('SumOfOdds', 5, 6): {0: 1746, 9: 6811, 13: 8013, 15: 7862, 16: 10647, 18: 16866, 20: 14372, 21: 9884, 23: 11945, 25: 11854}, ('SumOfOdds', 5, 7): {0: 2634, 11: 8007, 15: 6797, 16: 8325, 18: 14878, 20: 17146, 21: 10043, 23: 14100, 25: 18070}, ('SumOfOdds', 5, 8): {0: 95, 6: 6529, 15: 12097, 18: 12454, 20: 18491, 21: 9907, 23: 15254, 25: 25173}, ('SumOfOdds', 6, 1): {0: 7410, 3: 9799, 5: 6613, 6: 9118, 7: 7139, 8: 8145, 9: 8689, 10: 7075, 11: 8130, 12: 10756, 14: 7910, 16: 9216}, ('SumOfOdds', 6, 2): {0: 153, 1: 6753, 7: 6763, 9: 10513, 11: 7613, 12: 6840, 13: 7405, 14: 15279, 16: 8370, 17: 11320, 19: 8667, 21: 10324}, ('SumOfOdds', 6, 3): {0: 1606, 6: 7336, 10: 7969, 12: 10094, 14: 13221, 16: 14647, 18: 7891, 19: 12673, 21: 7711, 22: 7652, 24: 9200}, ('SumOfOdds', 6, 4): {0: 5771, 11: 9419, 14: 9943, 16: 12296, 18: 8483, 19: 7579, 20: 6653, 21: 12847, 23: 12798, 25: 9237, 28: 4974}, ('SumOfOdds', 6, 5): {0: 1626, 10: 6554, 14: 6940, 16: 9081, 18: 13910, 20: 7845, 21: 13179, 23: 15752, 25: 7754, 26: 7087, 28: 6388, 30: 3884}, ('SumOfOdds', 6, 6): {0: 5968, 15: 8985, 18: 10935, 20: 7981, 21: 12052, 23: 16882, 25: 11411, 26: 8543, 28: 9447, 30: 7796}, ('SumOfOdds', 6, 7): {0: 2314, 14: 7046, 18: 7891, 20: 7612, 21: 10285, 23: 16141, 25: 14467, 26: 9526, 28: 12043, 30: 12675}, ('SumOfOdds', 6, 8): {0: 2954, 16: 7951, 20: 6522, 21: 8203, 23: 14396, 25: 16723, 26: 10048, 28: 13964, 30: 19239}, ('SumOfOdds', 7, 1): {0: 7118, 4: 8884, 6: 6784, 7: 6543, 8: 7190, 9: 8090, 10: 7566, 11: 8138, 12: 12835, 14: 10729, 16: 7321, 18: 8802}, ('SumOfOdds', 7, 2): {0: 3167, 7: 7213, 10: 8389, 12: 11166, 14: 13742, 16: 7542, 17: 13594, 19: 7499, 20: 10496, 22: 7447, 24: 9745}, ('SumOfOdds', 7, 3): {0: 5630, 11: 9052, 14: 9360, 16: 12256, 18: 6591, 19: 13562, 21: 7920, 22: 11341, 24: 9551, 26: 7162, 28: 7575}, ('SumOfOdds', 7, 4): {0: 2220, 11: 7265, 15: 7277, 17: 8988, 19: 11926, 21: 13334, 23: 7672, 24: 12685, 26: 10835, 28: 9199, 30: 8599}, ('SumOfOdds', 7, 5): {0: 5935, 16: 8874, 19: 9145, 21: 11223, 23: 7919, 24: 7133, 25: 7033, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('SumOfOdds', 7, 6): {2: 5799, 18: 8867, 21: 8424, 23: 12902, 25: 7570, 26: 12513, 28: 15893, 30: 8537, 31: 7294, 33: 7232, 35: 4969}, ('SumOfOdds', 7, 7): {4: 6004, 20: 8618, 23: 10174, 25: 7651, 26: 11473, 28: 16014, 30: 11962, 31: 8823, 33: 10174, 35: 9107}, ('SumOfOdds', 7, 8): {0: 1, 6: 2365, 19: 6646, 23: 7527, 25: 7288, 26: 9647, 28: 15608, 30: 14871, 31: 9462, 33: 12445, 35: 14140}, ('SumOfOdds', 8, 1): {0: 378, 1: 6791, 5: 8633, 7: 11129, 9: 7107, 10: 6937, 11: 7580, 12: 7278, 13: 6521, 14: 12474, 16: 9800, 18: 6552, 20: 8820}, ('SumOfOdds', 8, 2): {0: 797, 6: 6948, 11: 6794, 13: 9599, 15: 11601, 17: 13076, 19: 7293, 20: 12487, 22: 10815, 24: 11552, 27: 9038}, ('SumOfOdds', 8, 3): {0: 2561, 11: 7695, 15: 7099, 17: 9139, 19: 11547, 21: 6969, 22: 12519, 24: 7157, 25: 11327, 27: 8869, 29: 6641, 31: 8477}, ('SumOfOdds', 8, 4): {1: 2741, 14: 7296, 18: 7355, 20: 9629, 22: 10789, 24: 12431, 26: 7943, 27: 11603, 29: 10400, 31: 12399, 34: 7414}, ('SumOfOdds', 8, 5): {1: 3, 3: 6210, 19: 8804, 22: 8054, 24: 10449, 26: 12536, 28: 7567, 29: 12781, 31: 11341, 33: 10541, 35: 7462, 38: 4252}, ('SumOfOdds', 8, 6): {4: 5763, 21: 7702, 24: 8128, 26: 10005, 28: 7465, 29: 6546, 30: 7060, 31: 12383, 33: 14068, 35: 12408, 38: 8472}, ('SumOfOdds', 8, 7): {6: 5301, 23: 8027, 26: 7391, 28: 11956, 30: 7550, 31: 12181, 33: 15650, 35: 9851, 36: 7726, 38: 8073, 40: 6294}, ('SumOfOdds', 8, 8): {4: 1, 8: 5554, 25: 7637, 28: 9115, 30: 7469, 31: 10714, 33: 16060, 35: 12876, 36: 8889, 38: 10622, 40: 11063}, ('SumOfEvens', 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, ('SumOfEvens', 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, ('SumOfEvens', 1, 3): {0: 22259, 2: 7317, 4: 35040, 6: 35384}, ('SumOfEvens', 1, 4): {0: 18511, 2: 6233, 4: 29418, 6: 45838}, ('SumOfEvens', 1, 5): {0: 15428, 2: 5146, 4: 24510, 6: 54916}, ('SumOfEvens', 1, 6): {0: 12927, 2: 4255, 4: 20115, 6: 62703}, ('SumOfEvens', 1, 7): {0: 10650, 2: 3502, 4: 17087, 6: 68761}, ('SumOfEvens', 1, 8): {0: 11920, 4: 14227, 6: 73853}, ('SumOfEvens', 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 8: 8263, 10: 8438}, ('SumOfEvens', 2, 2): {0: 11179, 2: 7503, 4: 19661, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, ('SumOfEvens', 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, ('SumOfEvens', 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, ('SumOfEvens', 2, 5): {0: 3991, 4: 7910, 6: 19247, 8: 11641, 10: 26842, 12: 30369}, ('SumOfEvens', 2, 6): {0: 2741, 4: 5313, 6: 17810, 8: 9468, 10: 25582, 12: 39086}, ('SumOfEvens', 2, 7): {0: 1905, 4: 3790, 6: 15965, 8: 7645, 10: 23307, 12: 47388}, ('SumOfEvens', 2, 8): {0: 3950, 6: 14006, 8: 6462, 10: 20879, 12: 54703}, ('SumOfEvens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 12: 7524, 14: 4668}, ('SumOfEvens', 3, 2): {0: 3666, 2: 3738, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 14: 8937, 16: 8548}, ('SumOfEvens', 3, 3): {0: 2176, 4: 5572, 6: 8576, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 12864, 18: 4316}, ('SumOfEvens', 3, 4): {0: 642, 2: 3914, 6: 6844, 8: 8218, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('SumOfEvens', 3, 5): {0: 2575, 6: 5105, 8: 5720, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, ('SumOfEvens', 3, 6): {0: 1475, 6: 3732, 8: 3796, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, ('SumOfEvens', 3, 7): {0: 862, 6: 5321, 10: 8145, 12: 18146, 14: 10985, 16: 24254, 18: 32287}, ('SumOfEvens', 3, 8): {0: 494, 6: 3730, 10: 5777, 12: 16926, 14: 9402, 16: 23114, 18: 40557}, ('SumOfEvens', 4, 1): {0: 6214, 2: 8516, 4: 12405, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 14: 6828, 16: 4295, 18: 3369}, ('SumOfEvens', 4, 2): {0: 2868, 4: 4894, 6: 8468, 8: 10702, 10: 15154, 12: 15715, 14: 14104, 16: 12485, 18: 8084, 20: 7526}, ('SumOfEvens', 4, 3): {0: 573, 4: 4781, 8: 5715, 10: 10269, 12: 12879, 14: 16224, 16: 17484, 18: 13847, 20: 10518, 22: 7710}, ('SumOfEvens', 4, 4): {0: 1119, 6: 5124, 10: 7096, 12: 10298, 14: 12763, 16: 17947, 18: 16566, 20: 13338, 22: 11215, 24: 4534}, ('SumOfEvens', 4, 5): {0: 136, 4: 3341, 10: 4716, 12: 8022, 14: 9638, 16: 16546, 18: 18045, 20: 14172, 22: 16111, 24: 9273}, ('SumOfEvens', 4, 6): {0: 991, 8: 4039, 12: 6097, 14: 7068, 16: 14021, 18: 18805, 20: 13848, 22: 20013, 24: 15118}, ('SumOfEvens', 4, 7): {0: 2931, 12: 4654, 14: 4930, 16: 11590, 18: 18952, 20: 12601, 22: 21947, 24: 22395}, ('SumOfEvens', 4, 8): {0: 1798, 12: 3395, 14: 3386, 16: 8943, 18: 18203, 20: 11505, 22: 23056, 24: 29714}, ('SumOfEvens', 5, 1): {0: 3192, 2: 5181, 4: 8648, 6: 13373, 8: 13964, 10: 14656, 12: 13468, 14: 10245, 16: 7574, 18: 4873, 20: 4826}, ('SumOfEvens', 5, 2): {0: 3217, 6: 4054, 8: 6336, 10: 9910, 12: 12184, 14: 13824, 16: 14674, 18: 12124, 20: 9742, 22: 6877, 24: 7058}, ('SumOfEvens', 5, 3): {0: 650, 6: 3254, 10: 4446, 12: 6558, 14: 10339, 16: 13128, 18: 14686, 20: 15282, 22: 13294, 24: 9361, 26: 9002}, ('SumOfEvens', 5, 4): {0: 736, 8: 3332, 12: 4093, 14: 6555, 16: 10437, 18: 12724, 20: 14710, 22: 16005, 24: 12896, 26: 9761, 28: 8751}, ('SumOfEvens', 5, 5): {0: 814, 10: 3928, 14: 4006, 16: 7635, 18: 10297, 20: 12344, 22: 16826, 24: 15490, 26: 12235, 28: 11323, 30: 5102}, ('SumOfEvens', 5, 6): {0: 1045, 12: 3999, 16: 5274, 18: 8224, 20: 9688, 22: 16041, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, ('SumOfEvens', 5, 7): {0: 2951, 16: 3465, 18: 6367, 20: 7478, 22: 13863, 24: 18114, 26: 13349, 28: 19048, 30: 15365}, ('SumOfEvens', 5, 8): {0: 249, 12: 3505, 18: 4912, 20: 5406, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, ('SumOfEvens', 6, 1): {0: 4767, 4: 5715, 6: 9535, 8: 11527, 10: 13220, 12: 13855, 14: 12217, 16: 10036, 18: 7641, 20: 5155, 22: 6332}, ('SumOfEvens', 6, 2): {0: 3379, 8: 3286, 10: 5781, 12: 8107, 14: 10495, 16: 12112, 18: 12962, 20: 12458, 22: 10842, 24: 8362, 26: 5714, 28: 6502}, ('SumOfEvens', 6, 3): {0: 1230, 10: 4741, 14: 5066, 16: 7714, 18: 10098, 20: 12628, 22: 13809, 24: 13594, 26: 11930, 28: 8967, 30: 5778, 32: 4445}, ('SumOfEvens', 6, 4): {0: 1235, 12: 4092, 16: 4678, 18: 6764, 20: 9551, 22: 12530, 24: 13471, 26: 13991, 28: 12906, 30: 9662, 32: 6534, 34: 4586}, ('SumOfEvens', 6, 5): {0: 1241, 14: 4118, 18: 4392, 20: 6604, 22: 9916, 24: 11810, 26: 13874, 28: 15232, 30: 12927, 32: 9788, 34: 10098}, ('SumOfEvens', 6, 6): {0: 1224, 16: 4254, 20: 4214, 22: 7418, 24: 9870, 26: 11838, 28: 15982, 30: 15534, 32: 12014, 34: 11679, 36: 5973}, ('SumOfEvens', 6, 7): {4: 1437, 18: 4249, 22: 5154, 24: 8221, 26: 9426, 28: 15301, 30: 17083, 32: 13001, 34: 15604, 36: 10524}, ('SumOfEvens', 6, 8): {4: 3207, 22: 3449, 24: 6361, 26: 7209, 28: 13662, 30: 18101, 32: 12842, 34: 18840, 36: 16329}, ('SumOfEvens', 7, 1): {0: 2584, 4: 3653, 6: 6451, 8: 8939, 10: 11183, 12: 12690, 14: 12463, 16: 11578, 18: 9725, 20: 7614, 22: 5306, 24: 3564, 26: 4250}, ('SumOfEvens', 7, 2): {0: 1433, 8: 4651, 12: 4933, 14: 7121, 16: 9103, 18: 10694, 20: 11747, 22: 12101, 24: 10947, 26: 9407, 28: 7140, 30: 4969, 32: 5754}, ('SumOfEvens', 7, 3): {0: 957, 12: 3394, 16: 3620, 18: 5753, 20: 8013, 22: 10305, 24: 12043, 26: 13153, 28: 12644, 30: 10884, 32: 8457, 34: 5494, 36: 5283}, ('SumOfEvens', 7, 4): {0: 1762, 16: 4828, 20: 4695, 22: 6948, 24: 9234, 26: 11605, 28: 12907, 30: 13018, 32: 11907, 34: 10022, 36: 6630, 38: 6444}, ('SumOfEvens', 7, 5): {4: 1630, 18: 4069, 22: 4347, 24: 6303, 26: 8816, 28: 11561, 30: 12713, 32: 13273, 34: 13412, 36: 10366, 38: 7212, 40: 6298}, ('SumOfEvens', 7, 6): {4: 1436, 20: 4042, 24: 4176, 26: 6057, 28: 9389, 30: 11291, 32: 12798, 34: 15385, 36: 13346, 38: 10011, 40: 8464, 42: 3605}, ('SumOfEvens', 7, 7): {6: 1304, 22: 4182, 26: 3913, 28: 7007, 30: 9525, 32: 11106, 34: 15613, 36: 15702, 38: 12021, 40: 12478, 42: 7149}, ('SumOfEvens', 7, 8): {10: 1490, 24: 4104, 28: 5058, 30: 7669, 32: 9076, 34: 14812, 36: 16970, 38: 12599, 40: 16137, 42: 12085}, ('SumOfEvens', 8, 1): {0: 373, 2: 3336, 6: 4344, 8: 6532, 10: 8598, 12: 10648, 14: 11696, 16: 11862, 18: 11145, 20: 9463, 22: 7414, 24: 5501, 26: 3771, 28: 5317}, ('SumOfEvens', 8, 2): {0: 1361, 10: 4297, 14: 4098, 16: 6135, 18: 7865, 20: 9772, 22: 10922, 24: 11148, 26: 10879, 28: 9711, 30: 8043, 32: 6058, 34: 4215, 36: 5496}, ('SumOfEvens', 8, 3): {2: 1601, 16: 4246, 20: 4428, 22: 6221, 24: 8306, 26: 10158, 28: 11561, 30: 12249, 32: 11747, 34: 10070, 36: 7860, 38: 5627, 40: 5926}, ('SumOfEvens', 8, 4): {0: 558, 16: 3763, 22: 3304, 24: 4882, 26: 6864, 28: 9047, 30: 10811, 32: 12344, 34: 12243, 36: 11307, 38: 9623, 40: 7009, 42: 4569, 44: 3676}, ('SumOfEvens', 8, 5): {4: 1798, 22: 4366, 26: 4229, 28: 6229, 30: 8178, 32: 10485, 34: 12180, 36: 12458, 38: 12260, 40: 10958, 42: 7933, 44: 5192, 46: 3734}, ('SumOfEvens', 8, 6): {6: 1453, 24: 3831, 28: 3916, 30: 5727, 32: 7846, 34: 10367, 36: 12064, 38: 12862, 40: 13920, 42: 11359, 44: 8361, 46: 8294}, ('SumOfEvens', 8, 7): {8: 1424, 26: 3618, 30: 3778, 32: 5303, 34: 8619, 36: 10651, 38: 12089, 40: 14999, 42: 13899, 44: 10574, 46: 10004, 48: 5042}, ('SumOfEvens', 8, 8): {10: 1226, 28: 3779, 32: 3565, 34: 6358, 36: 8996, 38: 10354, 40: 14996, 42: 16214, 44: 11803, 46: 13670, 48: 9039}, ('DoubleThreesAndFours', 1, 1): {0: 66749, 6: 16591, 8: 16660}, ('DoubleThreesAndFours', 1, 2): {0: 44675, 6: 27694, 8: 27631}, ('DoubleThreesAndFours', 1, 3): {0: 29592, 6: 35261, 8: 35147}, ('DoubleThreesAndFours', 1, 4): {0: 24601, 6: 29406, 8: 45993}, ('DoubleThreesAndFours', 1, 5): {0: 20499, 6: 24420, 8: 55081}, ('DoubleThreesAndFours', 1, 6): {0: 17116, 6: 20227, 8: 62657}, ('DoubleThreesAndFours', 1, 7): {0: 14193, 6: 17060, 8: 68747}, ('DoubleThreesAndFours', 1, 8): {0: 11977, 6: 13924, 8: 74099}, ('DoubleThreesAndFours', 2, 1): {0: 44382, 6: 22191, 8: 22251, 12: 2892, 14: 8284}, ('DoubleThreesAndFours', 2, 2): {0: 19720, 6: 24652, 8: 24891, 12: 7693, 14: 15403, 16: 7641}, ('DoubleThreesAndFours', 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376}, ('DoubleThreesAndFours', 2, 4): {0: 6164, 6: 14466, 8: 22828, 12: 8471, 14: 26935, 16: 21136}, ('DoubleThreesAndFours', 2, 5): {0: 4307, 6: 10005, 8: 22620, 12: 6057, 14: 26822, 16: 30189}, ('DoubleThreesAndFours', 2, 6): {0: 2879, 6: 7047, 8: 21466, 12: 4204, 14: 25326, 16: 39078}, ('DoubleThreesAndFours', 2, 7): {0: 2042, 6: 4637, 8: 19698, 12: 2846, 14: 23404, 16: 47373}, ('DoubleThreesAndFours', 2, 8): {0: 1385, 6: 3373, 8: 17795, 12: 1998, 14: 20907, 16: 54542}, ('DoubleThreesAndFours', 3, 1): {0: 29378, 6: 22335, 8: 22138, 12: 5551, 14: 11232, 16: 6113, 20: 3253}, ('DoubleThreesAndFours', 3, 2): {0: 8894, 6: 16518, 8: 16277, 12: 10334, 14: 20757, 16: 12265, 20: 6399, 22: 8556}, ('DoubleThreesAndFours', 3, 3): {0: 2643, 6: 9270, 8: 9252, 12: 11066, 14: 21922, 16: 11045, 18: 4335, 20: 12900, 22: 13101, 24: 4466}, ('DoubleThreesAndFours', 3, 4): {0: 1523, 6: 5443, 8: 8330, 12: 6223, 14: 20310, 16: 18276, 20: 11695, 22: 18521, 24: 9679}, ('DoubleThreesAndFours', 3, 5): {0: 845, 6: 3180, 8: 7038, 12: 3700, 14: 16545, 16: 20293, 20: 9740, 22: 22168, 24: 16491}, ('DoubleThreesAndFours', 3, 6): {0: 499, 6: 1774, 8: 5456, 12: 2033, 14: 12995, 16: 20914, 20: 7959, 22: 23876, 24: 24494}, ('DoubleThreesAndFours', 3, 7): {0: 1298, 8: 5434, 14: 9997, 16: 20598, 20: 5970, 22: 24010, 24: 32693}, ('DoubleThreesAndFours', 3, 8): {0: 776, 8: 3765, 14: 7514, 16: 19905, 20: 4456, 22: 23158, 24: 40426}, ('DoubleThreesAndFours', 4, 1): {0: 19809, 6: 19538, 8: 19765, 12: 7513, 14: 14835, 16: 8616, 20: 3787, 22: 6137}, ('DoubleThreesAndFours', 4, 2): {0: 3972, 6: 9759, 8: 9681, 12: 9152, 14: 18494, 16: 9182, 18: 3796, 20: 11442, 22: 11245, 24: 6728, 28: 6549}, ('DoubleThreesAndFours', 4, 3): {0: 745, 6: 3580, 8: 3629, 12: 6446, 14: 12957, 16: 6563, 18: 5181, 20: 15371, 22: 15441, 24: 6812, 26: 6250, 28: 9263, 30: 7762}, ('DoubleThreesAndFours', 4, 4): {0: 371, 6: 4491, 12: 3063, 14: 10057, 16: 10176, 20: 11583, 22: 18508, 24: 10280, 26: 4741, 28: 10883, 30: 11372, 32: 4475}, ('DoubleThreesAndFours', 4, 5): {0: 990, 8: 3424, 14: 6844, 16: 8952, 20: 8048, 22: 18097, 24: 17306, 28: 10930, 30: 16244, 32: 9165}, ('DoubleThreesAndFours', 4, 6): {0: 79, 6: 2446, 14: 4451, 16: 7542, 20: 5399, 22: 16364, 24: 18861, 28: 9736, 30: 19782, 32: 15340}, ('DoubleThreesAndFours', 4, 7): {0: 1042, 12: 3256, 16: 5909, 20: 3378, 22: 13634, 24: 20162, 28: 8204, 30: 22055, 32: 22360}, ('DoubleThreesAndFours', 4, 8): {0: 572, 12: 1938, 16: 6901, 22: 10960, 24: 20269, 28: 6551, 30: 22891, 32: 29918}, ('DoubleThreesAndFours', 5, 1): {0: 13122, 6: 16411, 8: 16451, 12: 8304, 14: 16464, 16: 10392, 20: 6145, 22: 6092, 24: 3317, 28: 3302}, ('DoubleThreesAndFours', 5, 2): {0: 1676, 6: 5469, 8: 5318, 12: 6656, 14: 13562, 16: 6786, 18: 4316, 20: 12668, 22: 12832, 24: 5636, 26: 5358, 28: 7847, 30: 7543, 34: 4333}, ('DoubleThreesAndFours', 5, 3): {0: 223, 6: 2722, 12: 3259, 14: 6384, 16: 3268, 18: 3897, 20: 11385, 22: 11613, 24: 6096, 26: 9086, 28: 13665, 30: 9486, 32: 4914, 34: 5404, 36: 5338, 38: 3260}, ('DoubleThreesAndFours', 5, 4): {0: 95, 6: 2712, 14: 4130, 16: 4732, 20: 7322, 22: 11374, 24: 6778, 26: 5595, 28: 13488, 30: 14319, 32: 7169, 34: 5245, 36: 8341, 38: 8700}, ('DoubleThreesAndFours', 5, 5): {0: 38, 6: 1295, 14: 5458, 20: 4128, 22: 9485, 24: 7483, 26: 3289, 28: 11201, 30: 16810, 32: 10248, 34: 4446, 36: 9980, 38: 11129, 40: 5010}, ('DoubleThreesAndFours', 5, 6): {0: 16, 6: 1848, 16: 4506, 22: 7062, 24: 9151, 28: 8349, 30: 17020, 32: 13519, 34: 3326, 36: 10243, 38: 15569, 40: 9391}, ('DoubleThreesAndFours', 5, 7): {0: 246, 14: 3372, 22: 4805, 24: 7632, 28: 5843, 30: 15652, 32: 18636, 36: 9333, 38: 19248, 40: 15233}, ('DoubleThreesAndFours', 5, 8): {0: 2, 6: 1477, 20: 3860, 24: 6181, 28: 3938, 30: 13694, 32: 19681, 36: 8113, 38: 21064, 40: 21990}, ('DoubleThreesAndFours', 6, 1): {0: 8738, 6: 13463, 8: 12988, 12: 8147, 14: 16506, 16: 11068, 20: 8158, 22: 11463, 26: 5157, 30: 4312}, ('DoubleThreesAndFours', 6, 2): {0: 784, 6: 5735, 12: 4564, 14: 8843, 16: 4479, 18: 3691, 20: 11349, 22: 11356, 24: 5588, 26: 6877, 28: 10790, 30: 7553, 32: 3974, 34: 4398, 36: 4501, 38: 5518}, ('DoubleThreesAndFours', 6, 3): {0: 1062, 12: 4317, 16: 3679, 20: 6930, 22: 6770, 24: 4357, 26: 8000, 28: 12114, 30: 9057, 32: 6825, 34: 9548, 36: 9738, 38: 6065, 40: 3765, 42: 3710, 44: 4063}, ('DoubleThreesAndFours', 6, 4): {0: 930, 14: 3333, 20: 3603, 22: 5673, 24: 3611, 26: 4164, 28: 10039, 30: 10836, 32: 6720, 34: 7926, 36: 12511, 38: 10194, 40: 5366, 42: 4836, 44: 5640, 46: 4618}, ('DoubleThreesAndFours', 6, 5): {0: 310, 14: 3647, 22: 3827, 24: 5198, 28: 6985, 30: 10494, 32: 7047, 34: 5449, 36: 12190, 38: 14163, 40: 7833, 42: 4738, 44: 8161, 46: 9958}, ('DoubleThreesAndFours', 6, 6): {0: 446, 16: 3780, 24: 3522, 28: 4300, 30: 8697, 32: 7204, 34: 3427, 36: 10342, 38: 16439, 40: 10795, 42: 4008, 44: 9477, 46: 11631, 48: 5932}, ('DoubleThreesAndFours', 6, 7): {0: 31, 12: 2221, 24: 5004, 30: 6708, 32: 9035, 36: 8028, 38: 16374, 40: 17005, 44: 9660, 46: 15581, 48: 10353}, ('DoubleThreesAndFours', 6, 8): {8: 388, 22: 3728, 30: 4988, 32: 7571, 36: 5846, 38: 15017, 40: 18347, 44: 9045, 46: 18638, 48: 16432}, ('DoubleThreesAndFours', 7, 1): {0: 5803, 6: 10242, 8: 10404, 12: 7634, 14: 15252, 16: 10934, 20: 9418, 22: 9715, 24: 7193, 28: 4897, 30: 4679, 34: 3829}, ('DoubleThreesAndFours', 7, 2): {0: 357, 6: 2962, 12: 2776, 14: 5631, 16: 5713, 20: 8788, 22: 8736, 24: 4687, 26: 7287, 28: 11132, 30: 7900, 32: 5286, 34: 6959, 36: 7000, 38: 4228, 40: 5800, 44: 4758}, ('DoubleThreesAndFours', 7, 3): {0: 361, 12: 3523, 20: 3613, 22: 5983, 26: 5630, 28: 8269, 30: 6641, 32: 6333, 34: 10088, 36: 10081, 38: 7494, 40: 6987, 42: 7821, 44: 6306, 46: 6547, 50: 4323}, ('DoubleThreesAndFours', 7, 4): {0: 5, 6: 1510, 20: 3966, 24: 4114, 28: 5838, 30: 6379, 32: 4601, 34: 6715, 36: 10741, 38: 9398, 40: 6630, 42: 8597, 44: 10218, 46: 7244, 48: 4033, 50: 3948, 52: 6063}, ('DoubleThreesAndFours', 7, 5): {0: 6, 6: 1267, 22: 3498, 28: 3284, 30: 5190, 32: 3707, 34: 3996, 36: 8930, 38: 10182, 40: 6767, 42: 6888, 44: 11990, 46: 11137, 48: 5993, 50: 4653, 52: 6259, 54: 6253}, ('DoubleThreesAndFours', 7, 6): {8: 499, 22: 3606, 30: 3572, 32: 5084, 36: 6292, 38: 9755, 40: 7116, 42: 5017, 44: 11451, 46: 14027, 48: 8688, 50: 4510, 52: 8339, 54: 8347, 56: 3697}, ('DoubleThreesAndFours', 7, 7): {6: 982, 26: 3267, 32: 3304, 36: 4015, 38: 8195, 40: 10376, 44: 9719, 46: 15829, 48: 11561, 50: 3831, 52: 9257, 54: 12409, 56: 7255}, ('DoubleThreesAndFours', 7, 8): {8: 42, 20: 2293, 32: 4653, 38: 6452, 40: 8616, 44: 7554, 46: 15616, 48: 17057, 52: 9418, 54: 16183, 56: 12116}, ('DoubleThreesAndFours', 8, 1): {0: 3982, 6: 7946, 8: 7712, 12: 6731, 14: 13657, 16: 6920, 18: 3314, 20: 10167, 22: 10162, 24: 4614, 26: 4302, 28: 6414, 30: 4504, 32: 4254, 36: 5321}, ('DoubleThreesAndFours', 8, 2): {0: 161, 6: 1484, 12: 1685, 14: 3393, 16: 3713, 20: 6475, 22: 6445, 24: 3639, 26: 6631, 28: 9769, 30: 7306, 32: 5644, 34: 8035, 36: 8364, 38: 5473, 40: 4617, 42: 5074, 44: 4004, 46: 4236, 50: 3852}, ('DoubleThreesAndFours', 8, 3): {0: 6, 6: 1665, 20: 4622, 26: 3379, 28: 4918, 30: 4044, 32: 4752, 34: 8086, 36: 8106, 38: 6904, 40: 7729, 42: 9356, 44: 8078, 46: 5989, 48: 6119, 50: 5725, 52: 6500, 56: 4022}, ('DoubleThreesAndFours', 8, 4): {0: 36, 12: 2795, 26: 4033, 30: 5709, 34: 4515, 36: 7211, 38: 6651, 40: 5753, 42: 8437, 44: 10354, 46: 8005, 48: 6657, 50: 7755, 52: 7763, 54: 4862, 56: 5973, 60: 3491}, ('DoubleThreesAndFours', 8, 5): {6: 1614, 28: 3410, 32: 3723, 36: 4863, 38: 5795, 40: 4470, 42: 5705, 44: 9760, 46: 9599, 48: 6812, 50: 7637, 52: 10531, 54: 8556, 56: 4701, 58: 4174, 60: 4703, 62: 3947}, ('DoubleThreesAndFours', 8, 6): {0: 119, 22: 3428, 34: 3815, 38: 4423, 40: 3520, 42: 3493, 44: 7896, 46: 9936, 48: 6877, 50: 6139, 52: 11631, 54: 12058, 56: 6986, 58: 4472, 60: 6904, 62: 8303}, ('DoubleThreesAndFours', 8, 7): {6: 2, 12: 2204, 36: 4638, 40: 4682, 44: 5588, 46: 9100, 48: 7192, 50: 4302, 52: 10602, 54: 14541, 56: 9724, 58: 4125, 60: 8403, 62: 9808, 64: 5089}, ('DoubleThreesAndFours', 8, 8): {8: 5, 20: 1769, 38: 5145, 44: 3621, 46: 7646, 48: 9806, 52: 8871, 54: 15467, 56: 12383, 58: 3339, 60: 9206, 62: 13539, 64: 9203}, ('QuadrupleOnesAndTwos', 1, 1): {0: 66567, 4: 16803, 8: 16630}, ('QuadrupleOnesAndTwos', 1, 2): {0: 44809, 4: 27448, 8: 27743}, ('QuadrupleOnesAndTwos', 1, 3): {0: 37100, 4: 23184, 8: 39716}, ('QuadrupleOnesAndTwos', 1, 4): {0: 30963, 4: 19221, 8: 49816}, ('QuadrupleOnesAndTwos', 1, 5): {0: 25316, 4: 16079, 8: 58605}, ('QuadrupleOnesAndTwos', 1, 6): {0: 21505, 4: 13237, 8: 65258}, ('QuadrupleOnesAndTwos', 1, 7): {0: 17676, 4: 11100, 8: 71224}, ('QuadrupleOnesAndTwos', 1, 8): {0: 14971, 4: 9323, 8: 75706}, ('QuadrupleOnesAndTwos', 2, 1): {0: 44566, 4: 22273, 8: 24842, 12: 5485, 16: 2834}, ('QuadrupleOnesAndTwos', 2, 2): {0: 19963, 4: 24890, 8: 32262, 12: 15172, 16: 7713}, ('QuadrupleOnesAndTwos', 2, 3): {0: 13766, 4: 17158, 8: 34907, 12: 18539, 16: 15630}, ('QuadrupleOnesAndTwos', 2, 4): {0: 9543, 4: 11981, 8: 34465, 12: 19108, 16: 24903}, ('QuadrupleOnesAndTwos', 2, 5): {0: 6472, 4: 8302, 8: 32470, 12: 18612, 16: 34144}, ('QuadrupleOnesAndTwos', 2, 6): {0: 4569, 4: 5737, 8: 29716, 12: 17216, 16: 42762}, ('QuadrupleOnesAndTwos', 2, 7): {0: 3146, 4: 3974, 8: 26489, 12: 15756, 16: 50635}, ('QuadrupleOnesAndTwos', 2, 8): {0: 2265, 4: 2724, 8: 23578, 12: 14167, 16: 57266}, ('QuadrupleOnesAndTwos', 3, 1): {0: 29440, 4: 22574, 8: 27747, 12: 11557, 16: 6892, 20: 1790}, ('QuadrupleOnesAndTwos', 3, 2): {0: 8857, 4: 16295, 8: 26434, 12: 22986, 16: 16799, 20: 6481, 24: 2148}, ('QuadrupleOnesAndTwos', 3, 3): {0: 5063, 4: 9447, 8: 22255, 12: 21685, 16: 24084, 20: 11167, 24: 6299}, ('QuadrupleOnesAndTwos', 3, 4): {0: 2864, 4: 5531, 8: 17681, 12: 18400, 16: 28524, 20: 14552, 24: 12448}, ('QuadrupleOnesAndTwos', 3, 5): {0: 1676, 4: 3219, 8: 13478, 12: 14755, 16: 30427, 20: 16602, 24: 19843}, ('QuadrupleOnesAndTwos', 3, 6): {0: 923, 4: 1758, 8: 10259, 12: 11326, 16: 31125, 20: 16984, 24: 27625}, ('QuadrupleOnesAndTwos', 3, 7): {0: 1688, 8: 7543, 12: 8769, 16: 29367, 20: 17085, 24: 35548}, ('QuadrupleOnesAndTwos', 3, 8): {0: 941, 8: 5277, 12: 6388, 16: 27741, 20: 16170, 24: 43483}, ('QuadrupleOnesAndTwos', 4, 1): {0: 19691, 4: 19657, 8: 27288, 12: 16126, 16: 11167, 20: 3979, 24: 2092}, ('QuadrupleOnesAndTwos', 4, 2): {0: 4023, 4: 9776, 8: 19015, 12: 22094, 16: 20986, 20: 13805, 24: 7340, 28: 2961}, ('QuadrupleOnesAndTwos', 4, 3): {0: 1848, 4: 4705, 8: 12411, 12: 16853, 16: 22831, 20: 18400, 24: 14480, 28: 5902, 32: 2570}, ('QuadrupleOnesAndTwos', 4, 4): {0: 930, 4: 2291, 8: 8084, 12: 12063, 16: 21220, 20: 19266, 24: 20615, 28: 9443, 32: 6088}, ('QuadrupleOnesAndTwos', 4, 5): {0: 1561, 8: 4963, 12: 7649, 16: 18209, 20: 17910, 24: 25474, 28: 12864, 32: 11370}, ('QuadrupleOnesAndTwos', 4, 6): {0: 722, 8: 3048, 12: 4931, 16: 14796, 20: 15416, 24: 28256, 28: 14675, 32: 18156}, ('QuadrupleOnesAndTwos', 4, 7): {0: 359, 8: 1871, 12: 3189, 16: 11547, 20: 12289, 24: 29181, 28: 16052, 32: 25512}, ('QuadrupleOnesAndTwos', 4, 8): {0: 1226, 12: 1909, 16: 8888, 20: 9679, 24: 28785, 28: 16180, 32: 33333}, ('QuadrupleOnesAndTwos', 5, 1): {0: 13112, 4: 16534, 8: 24718, 12: 18558, 16: 14547, 20: 7055, 24: 3810, 28: 1666}, ('QuadrupleOnesAndTwos', 5, 2): {0: 1764, 4: 5529, 8: 12216, 12: 17687, 16: 20808, 20: 18149, 24: 12849, 28: 6991, 32: 4007}, ('QuadrupleOnesAndTwos', 5, 3): {0: 719, 4: 2161, 8: 6362, 12: 11074, 16: 17322, 20: 19002, 24: 18643, 28: 12827, 32: 7960, 36: 3930}, ('QuadrupleOnesAndTwos', 5, 4): {0: 1152, 8: 3209, 12: 6581, 16: 12913, 20: 15867, 24: 20749, 28: 16398, 32: 14218, 36: 5931, 40: 2982}, ('QuadrupleOnesAndTwos', 5, 5): {0: 438, 8: 1729, 12: 3480, 16: 8863, 20: 12037, 24: 20010, 28: 17568, 32: 19789, 36: 9319, 40: 6767}, ('QuadrupleOnesAndTwos', 5, 6): {0: 1064, 12: 1793, 16: 5734, 20: 8436, 24: 17830, 28: 16864, 32: 24246, 36: 12115, 40: 11918}, ('QuadrupleOnesAndTwos', 5, 7): {0: 1449, 16: 3712, 20: 5684, 24: 14936, 28: 14969, 32: 27238, 36: 14094, 40: 17918}, ('QuadrupleOnesAndTwos', 5, 8): {0: 747, 16: 2344, 20: 3690, 24: 11929, 28: 12517, 32: 28388, 36: 15339, 40: 25046}, ('QuadrupleOnesAndTwos', 6, 1): {0: 8646, 4: 13011, 8: 21357, 12: 19385, 16: 17008, 20: 10409, 24: 6249, 28: 3935}, ('QuadrupleOnesAndTwos', 6, 2): {0: 844, 4: 2876, 8: 7435, 12: 12792, 16: 17480, 20: 18814, 24: 16492, 28: 11889, 32: 6893, 36: 4485}, ('QuadrupleOnesAndTwos', 6, 3): {0: 1241, 8: 3203, 12: 6431, 16: 11685, 20: 15584, 24: 17967, 28: 16506, 32: 13314, 36: 8034, 40: 4204, 44: 1831}, ('QuadrupleOnesAndTwos', 6, 4): {0: 83, 4: 1662, 12: 3077, 16: 6727, 20: 10562, 24: 15746, 28: 17174, 32: 17787, 36: 12820, 40: 9289, 44: 5073}, ('QuadrupleOnesAndTwos', 6, 5): {0: 142, 8: 1934, 16: 3781, 20: 6466, 24: 12264, 28: 14810, 32: 19588, 36: 16002, 40: 14682, 44: 6410, 48: 3921}, ('QuadrupleOnesAndTwos', 6, 6): {0: 884, 16: 2094, 20: 3849, 24: 8774, 28: 11481, 32: 19145, 36: 16864, 40: 19906, 44: 9386, 48: 7617}, ('QuadrupleOnesAndTwos', 6, 7): {0: 1386, 20: 2123, 24: 6015, 28: 8372, 32: 17207, 36: 16148, 40: 24051, 44: 11862, 48: 12836}, ('QuadrupleOnesAndTwos', 6, 8): {0: 164, 16: 1677, 24: 3868, 28: 5738, 32: 14489, 36: 14585, 40: 26779, 44: 13821, 48: 18879}, ('QuadrupleOnesAndTwos', 7, 1): {0: 5780, 4: 10185, 8: 17905, 12: 18364, 16: 18160, 20: 13115, 24: 8617, 28: 4458, 32: 3416}, ('QuadrupleOnesAndTwos', 7, 2): {0: 1795, 8: 4327, 12: 8501, 16: 13204, 20: 16895, 24: 17562, 28: 15061, 32: 11122, 36: 6507, 40: 3259, 44: 1767}, ('QuadrupleOnesAndTwos', 7, 3): {0: 84, 4: 1981, 12: 3419, 16: 7076, 20: 11008, 24: 14839, 28: 16393, 32: 16118, 36: 12681, 40: 8773, 44: 4707, 48: 2921}, ('QuadrupleOnesAndTwos', 7, 4): {0: 125, 8: 1825, 16: 3362, 20: 6250, 24: 10535, 28: 13596, 32: 16527, 36: 15938, 40: 14071, 44: 9192, 48: 5741, 52: 2838}, ('QuadrupleOnesAndTwos', 7, 5): {0: 223, 12: 2044, 20: 3100, 24: 6337, 28: 9400, 32: 14443, 36: 15955, 40: 17820, 44: 13369, 48: 10702, 52: 4316, 56: 2291}, ('QuadrupleOnesAndTwos', 7, 6): {0: 271, 16: 2229, 24: 3747, 28: 5988, 32: 11398, 36: 13738, 40: 19063, 44: 15587, 48: 15867, 52: 7202, 56: 4910}, ('QuadrupleOnesAndTwos', 7, 7): {0: 1032, 24: 2129, 28: 3595, 32: 8275, 36: 10801, 40: 18184, 44: 16470, 48: 20467, 52: 9969, 56: 9078}, ('QuadrupleOnesAndTwos', 7, 8): {0: 1, 8: 1507, 28: 2117, 32: 5715, 36: 7770, 40: 16197, 44: 15477, 48: 24388, 52: 12403, 56: 14425}, ('QuadrupleOnesAndTwos', 8, 1): {0: 3811, 4: 7682, 8: 14638, 12: 17214, 16: 18191, 20: 14651, 24: 10976, 28: 6591, 32: 3601, 36: 2645}, ('QuadrupleOnesAndTwos', 8, 2): {0: 906, 8: 2413, 12: 5355, 16: 9421, 20: 13623, 24: 16213, 28: 16246, 32: 14131, 36: 10076, 40: 6198, 44: 3336, 48: 2082}, ('QuadrupleOnesAndTwos', 8, 3): {0: 940, 12: 1804, 16: 4021, 20: 7201, 24: 10733, 28: 13934, 32: 15751, 36: 14882, 40: 12409, 44: 8920, 48: 5462, 52: 3943}, ('QuadrupleOnesAndTwos', 8, 4): {0: 233, 12: 2060, 20: 3103, 24: 6057, 28: 9073, 32: 12990, 36: 14756, 40: 15851, 44: 13795, 48: 10706, 52: 6310, 56: 5066}, ('QuadrupleOnesAndTwos', 8, 5): {0: 254, 16: 1927, 24: 2989, 28: 5327, 32: 8993, 36: 12039, 40: 15561, 44: 15382, 48: 15278, 52: 10629, 56: 7377, 60: 4244}, ('QuadrupleOnesAndTwos', 8, 6): {4: 262, 20: 2004, 28: 2711, 32: 5606, 36: 8463, 40: 13177, 44: 14818, 48: 17731, 52: 14024, 56: 12425, 60: 5446, 64: 3333}, ('QuadrupleOnesAndTwos', 8, 7): {8: 300, 24: 2044, 32: 3399, 36: 5454, 40: 10276, 44: 12582, 48: 18487, 52: 15549, 56: 17187, 60: 8149, 64: 6573}, ('QuadrupleOnesAndTwos', 8, 8): {8: 1005, 32: 1803, 36: 3224, 40: 7484, 44: 9727, 48: 17080, 52: 15898, 56: 21877, 60: 10773, 64: 11129}, ('MicroStraight', 1, 1): {0: 100000}, ('MicroStraight', 1, 2): {0: 100000}, ('MicroStraight', 1, 3): {0: 100000}, ('MicroStraight', 1, 4): {0: 100000}, ('MicroStraight', 1, 5): {0: 100000}, ('MicroStraight', 1, 6): {0: 100000}, ('MicroStraight', 1, 7): {0: 100000}, ('MicroStraight', 1, 8): {0: 100000}, ('MicroStraight', 2, 1): {0: 72326, 10: 27674}, ('MicroStraight', 2, 2): {0: 48546, 10: 51454}, ('MicroStraight', 2, 3): {0: 32619, 10: 67381}, ('MicroStraight', 2, 4): {0: 21659, 10: 78341}, ('MicroStraight', 2, 5): {0: 14288, 10: 85712}, ('MicroStraight', 2, 6): {0: 9882, 10: 90118}, ('MicroStraight', 2, 7): {0: 6502, 10: 93498}, ('MicroStraight', 2, 8): {0: 4161, 10: 95839}, ('MicroStraight', 3, 1): {0: 41943, 10: 58057}, ('MicroStraight', 3, 2): {0: 15524, 10: 84476}, ('MicroStraight', 3, 3): {0: 5700, 10: 94300}, ('MicroStraight', 3, 4): {0: 2127, 10: 97873}, ('MicroStraight', 3, 5): {0: 744, 10: 99256}, ('MicroStraight', 3, 6): {0: 260, 10: 99740}, ('MicroStraight', 3, 7): {0: 115, 10: 99885}, ('MicroStraight', 3, 8): {0: 34, 10: 99966}, ('MicroStraight', 4, 1): {0: 22307, 10: 77693}, ('MicroStraight', 4, 2): {0: 4420, 10: 95580}, ('MicroStraight', 4, 3): {0: 806, 10: 99194}, ('MicroStraight', 4, 4): {0: 205, 10: 99795}, ('MicroStraight', 4, 5): {0: 20, 10: 99980}, ('MicroStraight', 4, 6): {0: 5, 10: 99995}, ('MicroStraight', 4, 7): {0: 1, 10: 99999}, ('MicroStraight', 4, 8): {0: 1, 10: 99999}, ('MicroStraight', 5, 1): {0: 11685, 10: 88315}, ('MicroStraight', 5, 2): {0: 1141, 10: 98859}, ('MicroStraight', 5, 3): {0: 119, 10: 99881}, ('MicroStraight', 5, 4): {0: 11, 10: 99989}, ('MicroStraight', 5, 5): {0: 1, 10: 99999}, ('MicroStraight', 5, 6): {10: 100000}, ('MicroStraight', 5, 7): {10: 100000}, ('MicroStraight', 5, 8): {10: 100000}, ('MicroStraight', 6, 1): {0: 5937, 10: 94063}, ('MicroStraight', 6, 2): {0: 307, 10: 99693}, ('MicroStraight', 6, 3): {0: 9, 10: 99991}, ('MicroStraight', 6, 4): {0: 1, 10: 99999}, ('MicroStraight', 6, 5): {10: 100000}, ('MicroStraight', 6, 6): {10: 100000}, ('MicroStraight', 6, 7): {10: 100000}, ('MicroStraight', 6, 8): {10: 100000}, ('MicroStraight', 7, 1): {0: 3072, 10: 96928}, ('MicroStraight', 7, 2): {0: 85, 10: 99915}, ('MicroStraight', 7, 3): {0: 2, 10: 99998}, ('MicroStraight', 7, 4): {10: 100000}, ('MicroStraight', 7, 5): {10: 100000}, ('MicroStraight', 7, 6): {10: 100000}, ('MicroStraight', 7, 7): {10: 100000}, ('MicroStraight', 7, 8): {10: 100000}, ('MicroStraight', 8, 1): {0: 1544, 10: 98456}, ('MicroStraight', 8, 2): {0: 15, 10: 99985}, ('MicroStraight', 8, 3): {10: 100000}, ('MicroStraight', 8, 4): {10: 100000}, ('MicroStraight', 8, 5): {10: 100000}, ('MicroStraight', 8, 6): {10: 100000}, ('MicroStraight', 8, 7): {10: 100000}, ('MicroStraight', 8, 8): {10: 100000}, ('ThreeOdds', 1, 1): {0: 100000}, ('ThreeOdds', 1, 2): {0: 100000}, ('ThreeOdds', 1, 3): {0: 100000}, ('ThreeOdds', 1, 4): {0: 100000}, ('ThreeOdds', 1, 5): {0: 100000}, ('ThreeOdds', 1, 6): {0: 100000}, ('ThreeOdds', 1, 7): {0: 100000}, ('ThreeOdds', 1, 8): {0: 100000}, ('ThreeOdds', 2, 1): {0: 100000}, ('ThreeOdds', 2, 2): {0: 100000}, ('ThreeOdds', 2, 3): {0: 100000}, ('ThreeOdds', 2, 4): {0: 100000}, ('ThreeOdds', 2, 5): {0: 100000}, ('ThreeOdds', 2, 6): {0: 100000}, ('ThreeOdds', 2, 7): {0: 100000}, ('ThreeOdds', 2, 8): {0: 100000}, ('ThreeOdds', 3, 1): {0: 87592, 20: 12408}, ('ThreeOdds', 3, 2): {0: 57855, 20: 42145}, ('ThreeOdds', 3, 3): {0: 32668, 20: 67332}, ('ThreeOdds', 3, 4): {0: 17508, 20: 82492}, ('ThreeOdds', 3, 5): {0: 9156, 20: 90844}, ('ThreeOdds', 3, 6): {0: 4572, 20: 95428}, ('ThreeOdds', 3, 7): {0: 2325, 20: 97675}, ('ThreeOdds', 3, 8): {0: 1116, 20: 98884}, ('ThreeOdds', 4, 1): {0: 68669, 20: 31331}, ('ThreeOdds', 4, 2): {0: 26140, 20: 73860}, ('ThreeOdds', 4, 3): {0: 7837, 20: 92163}, ('ThreeOdds', 4, 4): {0: 2169, 20: 97831}, ('ThreeOdds', 4, 5): {0: 516, 20: 99484}, ('ThreeOdds', 4, 6): {0: 156, 20: 99844}, ('ThreeOdds', 4, 7): {0: 40, 20: 99960}, ('ThreeOdds', 4, 8): {0: 12, 20: 99988}, ('ThreeOdds', 5, 1): {0: 49908, 20: 50092}, ('ThreeOdds', 5, 2): {0: 10373, 20: 89627}, ('ThreeOdds', 5, 3): {0: 1640, 20: 98360}, ('ThreeOdds', 5, 4): {0: 223, 20: 99777}, ('ThreeOdds', 5, 5): {0: 24, 20: 99976}, ('ThreeOdds', 5, 6): {0: 3, 20: 99997}, ('ThreeOdds', 5, 7): {0: 1, 20: 99999}, ('ThreeOdds', 5, 8): {20: 100000}, ('ThreeOdds', 6, 1): {0: 34566, 20: 65434}, ('ThreeOdds', 6, 2): {0: 3766, 20: 96234}, ('ThreeOdds', 6, 3): {0: 291, 20: 99709}, ('ThreeOdds', 6, 4): {0: 22, 20: 99978}, ('ThreeOdds', 6, 5): {20: 100000}, ('ThreeOdds', 6, 6): {20: 100000}, ('ThreeOdds', 6, 7): {20: 100000}, ('ThreeOdds', 6, 8): {20: 100000}, ('ThreeOdds', 7, 1): {0: 22722, 20: 77278}, ('ThreeOdds', 7, 2): {0: 1291, 20: 98709}, ('ThreeOdds', 7, 3): {0: 38, 20: 99962}, ('ThreeOdds', 7, 4): {0: 2, 20: 99998}, ('ThreeOdds', 7, 5): {20: 100000}, ('ThreeOdds', 7, 6): {20: 100000}, ('ThreeOdds', 7, 7): {20: 100000}, ('ThreeOdds', 7, 8): {20: 100000}, ('ThreeOdds', 8, 1): {0: 14556, 20: 85444}, ('ThreeOdds', 8, 2): {0: 430, 20: 99570}, ('ThreeOdds', 8, 3): {0: 3, 20: 99997}, ('ThreeOdds', 8, 4): {20: 100000}, ('ThreeOdds', 8, 5): {20: 100000}, ('ThreeOdds', 8, 6): {20: 100000}, ('ThreeOdds', 8, 7): {20: 100000}, ('ThreeOdds', 8, 8): {20: 100000}, ('OneTwoOneConsecutive', 1, 1): {0: 100000}, ('OneTwoOneConsecutive', 1, 2): {0: 100000}, ('OneTwoOneConsecutive', 1, 3): {0: 100000}, ('OneTwoOneConsecutive', 1, 4): {0: 100000}, ('OneTwoOneConsecutive', 1, 5): {0: 100000}, ('OneTwoOneConsecutive', 1, 6): {0: 100000}, ('OneTwoOneConsecutive', 1, 7): {0: 100000}, ('OneTwoOneConsecutive', 1, 8): {0: 100000}, ('OneTwoOneConsecutive', 2, 1): {0: 100000}, ('OneTwoOneConsecutive', 2, 2): {0: 100000}, ('OneTwoOneConsecutive', 2, 3): {0: 100000}, ('OneTwoOneConsecutive', 2, 4): {0: 100000}, ('OneTwoOneConsecutive', 2, 5): {0: 100000}, ('OneTwoOneConsecutive', 2, 6): {0: 100000}, ('OneTwoOneConsecutive', 2, 7): {0: 100000}, ('OneTwoOneConsecutive', 2, 8): {0: 100000}, ('OneTwoOneConsecutive', 3, 1): {0: 100000}, ('OneTwoOneConsecutive', 3, 2): {0: 100000}, ('OneTwoOneConsecutive', 3, 3): {0: 100000}, ('OneTwoOneConsecutive', 3, 4): {0: 100000}, ('OneTwoOneConsecutive', 3, 5): {0: 100000}, ('OneTwoOneConsecutive', 3, 6): {0: 100000}, ('OneTwoOneConsecutive', 3, 7): {0: 100000}, ('OneTwoOneConsecutive', 3, 8): {0: 100000}, ('OneTwoOneConsecutive', 4, 1): {0: 96371, 30: 3629}, ('OneTwoOneConsecutive', 4, 2): {0: 86605, 30: 13395}, ('OneTwoOneConsecutive', 4, 3): {0: 75037, 30: 24963}, ('OneTwoOneConsecutive', 4, 4): {0: 63656, 30: 36344}, ('OneTwoOneConsecutive', 4, 5): {0: 53869, 30: 46131}, ('OneTwoOneConsecutive', 4, 6): {0: 45131, 30: 54869}, ('OneTwoOneConsecutive', 4, 7): {0: 37535, 30: 62465}, ('OneTwoOneConsecutive', 4, 8): {0: 31425, 30: 68575}, ('OneTwoOneConsecutive', 5, 1): {0: 86632, 30: 13368}, ('OneTwoOneConsecutive', 5, 2): {0: 62779, 30: 37221}, ('OneTwoOneConsecutive', 5, 3): {0: 46034, 30: 53966}, ('OneTwoOneConsecutive', 5, 4): {0: 34983, 30: 65017}, ('OneTwoOneConsecutive', 5, 5): {0: 28056, 30: 71944}, ('OneTwoOneConsecutive', 5, 6): {0: 23150, 30: 76850}, ('OneTwoOneConsecutive', 5, 7): {0: 19577, 30: 80423}, ('OneTwoOneConsecutive', 5, 8): {0: 17613, 30: 82387}, ('OneTwoOneConsecutive', 6, 1): {0: 71928, 30: 28072}, ('OneTwoOneConsecutive', 6, 2): {0: 40724, 30: 59276}, ('OneTwoOneConsecutive', 6, 3): {0: 26723, 30: 73277}, ('OneTwoOneConsecutive', 6, 4): {0: 19685, 30: 80315}, ('OneTwoOneConsecutive', 6, 5): {0: 15460, 30: 84540}, ('OneTwoOneConsecutive', 6, 6): {0: 12526, 30: 87474}, ('OneTwoOneConsecutive', 6, 7): {0: 10014, 30: 89986}, ('OneTwoOneConsecutive', 6, 8): {0: 8251, 30: 91749}, ('OneTwoOneConsecutive', 7, 1): {0: 55544, 30: 44456}, ('OneTwoOneConsecutive', 7, 2): {0: 24840, 30: 75160}, ('OneTwoOneConsecutive', 7, 3): {0: 15102, 30: 84898}, ('OneTwoOneConsecutive', 7, 4): {0: 10541, 30: 89459}, ('OneTwoOneConsecutive', 7, 5): {0: 7720, 30: 92280}, ('OneTwoOneConsecutive', 7, 6): {0: 5554, 30: 94446}, ('OneTwoOneConsecutive', 7, 7): {0: 4106, 30: 95894}, ('OneTwoOneConsecutive', 7, 8): {0: 3025, 30: 96975}, ('OneTwoOneConsecutive', 8, 1): {0: 40693, 30: 59307}, ('OneTwoOneConsecutive', 8, 2): {0: 14827, 30: 85173}, ('OneTwoOneConsecutive', 8, 3): {0: 8195, 30: 91805}, ('OneTwoOneConsecutive', 8, 4): {0: 5383, 30: 94617}, ('OneTwoOneConsecutive', 8, 5): {0: 3395, 30: 96605}, ('OneTwoOneConsecutive', 8, 6): {0: 2299, 30: 97701}, ('OneTwoOneConsecutive', 8, 7): {0: 1412, 30: 98588}, ('OneTwoOneConsecutive', 8, 8): {0: 872, 30: 99128}, ('ThreeDistinctDice', 1, 1): {0: 100000}, ('ThreeDistinctDice', 1, 2): {0: 100000}, ('ThreeDistinctDice', 1, 3): {0: 100000}, ('ThreeDistinctDice', 1, 4): {0: 100000}, ('ThreeDistinctDice', 1, 5): {0: 100000}, ('ThreeDistinctDice', 1, 6): {0: 100000}, ('ThreeDistinctDice', 1, 7): {0: 100000}, ('ThreeDistinctDice', 1, 8): {0: 100000}, ('ThreeDistinctDice', 2, 1): {0: 100000}, ('ThreeDistinctDice', 2, 2): {0: 100000}, ('ThreeDistinctDice', 2, 3): {0: 100000}, ('ThreeDistinctDice', 2, 4): {0: 100000}, ('ThreeDistinctDice', 2, 5): {0: 100000}, ('ThreeDistinctDice', 2, 6): {0: 100000}, ('ThreeDistinctDice', 2, 7): {0: 100000}, ('ThreeDistinctDice', 2, 8): {0: 100000}, ('ThreeDistinctDice', 3, 1): {0: 44707, 20: 55293}, ('ThreeDistinctDice', 3, 2): {0: 15078, 20: 84922}, ('ThreeDistinctDice', 3, 3): {0: 5056, 20: 94944}, ('ThreeDistinctDice', 3, 4): {0: 1688, 20: 98312}, ('ThreeDistinctDice', 3, 5): {0: 516, 20: 99484}, ('ThreeDistinctDice', 3, 6): {0: 182, 20: 99818}, ('ThreeDistinctDice', 3, 7): {0: 56, 20: 99944}, ('ThreeDistinctDice', 3, 8): {0: 15, 20: 99985}, ('ThreeDistinctDice', 4, 1): {0: 16721, 20: 83279}, ('ThreeDistinctDice', 4, 2): {0: 1826, 20: 98174}, ('ThreeDistinctDice', 4, 3): {0: 203, 20: 99797}, ('ThreeDistinctDice', 4, 4): {0: 18, 20: 99982}, ('ThreeDistinctDice', 4, 5): {0: 3, 20: 99997}, ('ThreeDistinctDice', 4, 6): {20: 100000}, ('ThreeDistinctDice', 4, 7): {20: 100000}, ('ThreeDistinctDice', 4, 8): {20: 100000}, ('ThreeDistinctDice', 5, 1): {0: 5904, 20: 94096}, ('ThreeDistinctDice', 5, 2): {0: 236, 20: 99764}, ('ThreeDistinctDice', 5, 3): {0: 12, 20: 99988}, ('ThreeDistinctDice', 5, 4): {20: 100000}, ('ThreeDistinctDice', 5, 5): {20: 100000}, ('ThreeDistinctDice', 5, 6): {20: 100000}, ('ThreeDistinctDice', 5, 7): {20: 100000}, ('ThreeDistinctDice', 5, 8): {20: 100000}, ('ThreeDistinctDice', 6, 1): {0: 1992, 20: 98008}, ('ThreeDistinctDice', 6, 2): {0: 21, 20: 99979}, ('ThreeDistinctDice', 6, 3): {20: 100000}, ('ThreeDistinctDice', 6, 4): {20: 100000}, ('ThreeDistinctDice', 6, 5): {20: 100000}, ('ThreeDistinctDice', 6, 6): {20: 100000}, ('ThreeDistinctDice', 6, 7): {20: 100000}, ('ThreeDistinctDice', 6, 8): {20: 100000}, ('ThreeDistinctDice', 7, 1): {0: 692, 20: 99308}, ('ThreeDistinctDice', 7, 2): {0: 4, 20: 99996}, ('ThreeDistinctDice', 7, 3): {20: 100000}, ('ThreeDistinctDice', 7, 4): {20: 100000}, ('ThreeDistinctDice', 7, 5): {20: 100000}, ('ThreeDistinctDice', 7, 6): {20: 100000}, ('ThreeDistinctDice', 7, 7): {20: 100000}, ('ThreeDistinctDice', 7, 8): {20: 100000}, ('ThreeDistinctDice', 8, 1): {0: 243, 20: 99757}, ('ThreeDistinctDice', 8, 2): {0: 1, 20: 99999}, ('ThreeDistinctDice', 8, 3): {20: 100000}, ('ThreeDistinctDice', 8, 4): {20: 100000}, ('ThreeDistinctDice', 8, 5): {20: 100000}, ('ThreeDistinctDice', 8, 6): {20: 100000}, ('ThreeDistinctDice', 8, 7): {20: 100000}, ('ThreeDistinctDice', 8, 8): {20: 100000}, ('TwoPair', 1, 1): {0: 100000}, ('TwoPair', 1, 2): {0: 100000}, ('TwoPair', 1, 3): {0: 100000}, ('TwoPair', 1, 4): {0: 100000}, ('TwoPair', 1, 5): {0: 100000}, ('TwoPair', 1, 6): {0: 100000}, ('TwoPair', 1, 7): {0: 100000}, ('TwoPair', 1, 8): {0: 100000}, ('TwoPair', 2, 1): {0: 100000}, ('TwoPair', 2, 2): {0: 100000}, ('TwoPair', 2, 3): {0: 100000}, ('TwoPair', 2, 4): {0: 100000}, ('TwoPair', 2, 5): {0: 100000}, ('TwoPair', 2, 6): {0: 100000}, ('TwoPair', 2, 7): {0: 100000}, ('TwoPair', 2, 8): {0: 100000}, ('TwoPair', 3, 1): {0: 100000}, ('TwoPair', 3, 2): {0: 100000}, ('TwoPair', 3, 3): {0: 100000}, ('TwoPair', 3, 4): {0: 100000}, ('TwoPair', 3, 5): {0: 100000}, ('TwoPair', 3, 6): {0: 100000}, ('TwoPair', 3, 7): {0: 100000}, ('TwoPair', 3, 8): {0: 100000}, ('TwoPair', 4, 1): {0: 93065, 30: 6935}, ('TwoPair', 4, 2): {0: 82102, 30: 17898}, ('TwoPair', 4, 3): {0: 71209, 30: 28791}, ('TwoPair', 4, 4): {0: 61609, 30: 38391}, ('TwoPair', 4, 5): {0: 53036, 30: 46964}, ('TwoPair', 4, 6): {0: 45705, 30: 54295}, ('TwoPair', 4, 7): {0: 39398, 30: 60602}, ('TwoPair', 4, 8): {0: 33673, 30: 66327}, ('TwoPair', 5, 1): {0: 72847, 30: 27153}, ('TwoPair', 5, 2): {0: 46759, 30: 53241}, ('TwoPair', 5, 3): {0: 29462, 30: 70538}, ('TwoPair', 5, 4): {0: 18351, 30: 81649}, ('TwoPair', 5, 5): {0: 11793, 30: 88207}, ('TwoPair', 5, 6): {0: 7385, 30: 92615}, ('TwoPair', 5, 7): {0: 4610, 30: 95390}, ('TwoPair', 5, 8): {0: 2938, 30: 97062}, ('TwoPair', 6, 1): {0: 44431, 30: 55569}, ('TwoPair', 6, 2): {0: 17183, 30: 82817}, ('TwoPair', 6, 3): {0: 6759, 30: 93241}, ('TwoPair', 6, 4): {0: 2562, 30: 97438}, ('TwoPair', 6, 5): {0: 948, 30: 99052}, ('TwoPair', 6, 6): {0: 375, 30: 99625}, ('TwoPair', 6, 7): {0: 138, 30: 99862}, ('TwoPair', 6, 8): {0: 57, 30: 99943}, ('TwoPair', 7, 1): {0: 19888, 30: 80112}, ('TwoPair', 7, 2): {0: 3935, 30: 96065}, ('TwoPair', 7, 3): {0: 801, 30: 99199}, ('TwoPair', 7, 4): {0: 175, 30: 99825}, ('TwoPair', 7, 5): {0: 31, 30: 99969}, ('TwoPair', 7, 6): {0: 7, 30: 99993}, ('TwoPair', 7, 7): {0: 2, 30: 99998}, ('TwoPair', 7, 8): {30: 100000}, ('TwoPair', 8, 1): {0: 6791, 30: 93209}, ('TwoPair', 8, 2): {0: 588, 30: 99412}, ('TwoPair', 8, 3): {0: 61, 30: 99939}, ('TwoPair', 8, 4): {0: 6, 30: 99994}, ('TwoPair', 8, 5): {30: 100000}, ('TwoPair', 8, 6): {30: 100000}, ('TwoPair', 8, 7): {30: 100000}, ('TwoPair', 8, 8): {30: 100000}, ('TwoOneTwoConsecutive', 1, 1): {0: 100000}, ('TwoOneTwoConsecutive', 1, 2): {0: 100000}, ('TwoOneTwoConsecutive', 1, 3): {0: 100000}, ('TwoOneTwoConsecutive', 1, 4): {0: 100000}, ('TwoOneTwoConsecutive', 1, 5): {0: 100000}, ('TwoOneTwoConsecutive', 1, 6): {0: 100000}, ('TwoOneTwoConsecutive', 1, 7): {0: 100000}, ('TwoOneTwoConsecutive', 1, 8): {0: 100000}, ('TwoOneTwoConsecutive', 2, 1): {0: 100000}, ('TwoOneTwoConsecutive', 2, 2): {0: 100000}, ('TwoOneTwoConsecutive', 2, 3): {0: 100000}, ('TwoOneTwoConsecutive', 2, 4): {0: 100000}, ('TwoOneTwoConsecutive', 2, 5): {0: 100000}, ('TwoOneTwoConsecutive', 2, 6): {0: 100000}, ('TwoOneTwoConsecutive', 2, 7): {0: 100000}, ('TwoOneTwoConsecutive', 2, 8): {0: 100000}, ('TwoOneTwoConsecutive', 3, 1): {0: 100000}, ('TwoOneTwoConsecutive', 3, 2): {0: 100000}, ('TwoOneTwoConsecutive', 3, 3): {0: 100000}, ('TwoOneTwoConsecutive', 3, 4): {0: 100000}, ('TwoOneTwoConsecutive', 3, 5): {0: 100000}, ('TwoOneTwoConsecutive', 3, 6): {0: 100000}, ('TwoOneTwoConsecutive', 3, 7): {0: 100000}, ('TwoOneTwoConsecutive', 3, 8): {0: 100000}, ('TwoOneTwoConsecutive', 4, 1): {0: 100000}, ('TwoOneTwoConsecutive', 4, 2): {0: 100000}, ('TwoOneTwoConsecutive', 4, 3): {0: 100000}, ('TwoOneTwoConsecutive', 4, 4): {0: 100000}, ('TwoOneTwoConsecutive', 4, 5): {0: 100000}, ('TwoOneTwoConsecutive', 4, 6): {0: 100000}, ('TwoOneTwoConsecutive', 4, 7): {0: 100000}, ('TwoOneTwoConsecutive', 4, 8): {0: 100000}, ('TwoOneTwoConsecutive', 5, 1): {0: 98403, 40: 1597}, ('TwoOneTwoConsecutive', 5, 2): {0: 90651, 40: 9349}, ('TwoOneTwoConsecutive', 5, 3): {0: 80100, 40: 19900}, ('TwoOneTwoConsecutive', 5, 4): {0: 69131, 40: 30869}, ('TwoOneTwoConsecutive', 5, 5): {0: 58252, 40: 41748}, ('TwoOneTwoConsecutive', 5, 6): {0: 49405, 40: 50595}, ('TwoOneTwoConsecutive', 5, 7): {0: 41585, 40: 58415}, ('TwoOneTwoConsecutive', 5, 8): {0: 34952, 40: 65048}, ('TwoOneTwoConsecutive', 6, 1): {0: 93465, 40: 6535}, ('TwoOneTwoConsecutive', 6, 2): {0: 73416, 40: 26584}, ('TwoOneTwoConsecutive', 6, 3): {0: 54041, 40: 45959}, ('TwoOneTwoConsecutive', 6, 4): {0: 38535, 40: 61465}, ('TwoOneTwoConsecutive', 6, 5): {0: 27366, 40: 72634}, ('TwoOneTwoConsecutive', 6, 6): {0: 18924, 40: 81076}, ('TwoOneTwoConsecutive', 6, 7): {0: 13387, 40: 86613}, ('TwoOneTwoConsecutive', 6, 8): {0: 9134, 40: 90866}, ('TwoOneTwoConsecutive', 7, 1): {0: 84168, 40: 15832}, ('TwoOneTwoConsecutive', 7, 2): {0: 52659, 40: 47341}, ('TwoOneTwoConsecutive', 7, 3): {0: 30435, 40: 69565}, ('TwoOneTwoConsecutive', 7, 4): {0: 17477, 40: 82523}, ('TwoOneTwoConsecutive', 7, 5): {0: 9782, 40: 90218}, ('TwoOneTwoConsecutive', 7, 6): {0: 5316, 40: 94684}, ('TwoOneTwoConsecutive', 7, 7): {0: 2995, 40: 97005}, ('TwoOneTwoConsecutive', 7, 8): {0: 1689, 40: 98311}, ('TwoOneTwoConsecutive', 8, 1): {0: 71089, 40: 28911}, ('TwoOneTwoConsecutive', 8, 2): {0: 33784, 40: 66216}, ('TwoOneTwoConsecutive', 8, 3): {0: 14820, 40: 85180}, ('TwoOneTwoConsecutive', 8, 4): {0: 6265, 40: 93735}, ('TwoOneTwoConsecutive', 8, 5): {0: 2600, 40: 97400}, ('TwoOneTwoConsecutive', 8, 6): {0: 1155, 40: 98845}, ('TwoOneTwoConsecutive', 8, 7): {0: 487, 40: 99513}, ('TwoOneTwoConsecutive', 8, 8): {0: 190, 40: 99810}, ('FiveDistinctDice', 1, 1): {0: 100000}, ('FiveDistinctDice', 1, 2): {0: 100000}, ('FiveDistinctDice', 1, 3): {0: 100000}, ('FiveDistinctDice', 1, 4): {0: 100000}, ('FiveDistinctDice', 1, 5): {0: 100000}, ('FiveDistinctDice', 1, 6): {0: 100000}, ('FiveDistinctDice', 1, 7): {0: 100000}, ('FiveDistinctDice', 1, 8): {0: 100000}, ('FiveDistinctDice', 2, 1): {0: 100000}, ('FiveDistinctDice', 2, 2): {0: 100000}, ('FiveDistinctDice', 2, 3): {0: 100000}, ('FiveDistinctDice', 2, 4): {0: 100000}, ('FiveDistinctDice', 2, 5): {0: 100000}, ('FiveDistinctDice', 2, 6): {0: 100000}, ('FiveDistinctDice', 2, 7): {0: 100000}, ('FiveDistinctDice', 2, 8): {0: 100000}, ('FiveDistinctDice', 3, 1): {0: 100000}, ('FiveDistinctDice', 3, 2): {0: 100000}, ('FiveDistinctDice', 3, 3): {0: 100000}, ('FiveDistinctDice', 3, 4): {0: 100000}, ('FiveDistinctDice', 3, 5): {0: 100000}, ('FiveDistinctDice', 3, 6): {0: 100000}, ('FiveDistinctDice', 3, 7): {0: 100000}, ('FiveDistinctDice', 3, 8): {0: 100000}, ('FiveDistinctDice', 4, 1): {0: 100000}, ('FiveDistinctDice', 4, 2): {0: 100000}, ('FiveDistinctDice', 4, 3): {0: 100000}, ('FiveDistinctDice', 4, 4): {0: 100000}, ('FiveDistinctDice', 4, 5): {0: 100000}, ('FiveDistinctDice', 4, 6): {0: 100000}, ('FiveDistinctDice', 4, 7): {0: 100000}, ('FiveDistinctDice', 4, 8): {0: 100000}, ('FiveDistinctDice', 5, 1): {0: 90907, 25: 9093}, ('FiveDistinctDice', 5, 2): {0: 68020, 25: 31980}, ('FiveDistinctDice', 5, 3): {0: 47692, 25: 52308}, ('FiveDistinctDice', 5, 4): {0: 32383, 25: 67617}, ('FiveDistinctDice', 5, 5): {0: 21631, 25: 78369}, ('FiveDistinctDice', 5, 6): {0: 14366, 25: 85634}, ('FiveDistinctDice', 5, 7): {0: 9568, 25: 90432}, ('FiveDistinctDice', 5, 8): {0: 6360, 25: 93640}, ('FiveDistinctDice', 6, 1): {0: 75051, 25: 24949}, ('FiveDistinctDice', 6, 2): {0: 38409, 25: 61591}, ('FiveDistinctDice', 6, 3): {0: 17505, 25: 82495}, ('FiveDistinctDice', 6, 4): {0: 7862, 25: 92138}, ('FiveDistinctDice', 6, 5): {0: 3538, 25: 96462}, ('FiveDistinctDice', 6, 6): {0: 1645, 25: 98355}, ('FiveDistinctDice', 6, 7): {0: 714, 25: 99286}, ('FiveDistinctDice', 6, 8): {0: 341, 25: 99659}, ('FiveDistinctDice', 7, 1): {0: 58588, 25: 41412}, ('FiveDistinctDice', 7, 2): {0: 19487, 25: 80513}, ('FiveDistinctDice', 7, 3): {0: 6043, 25: 93957}, ('FiveDistinctDice', 7, 4): {0: 1799, 25: 98201}, ('FiveDistinctDice', 7, 5): {0: 544, 25: 99456}, ('FiveDistinctDice', 7, 6): {0: 169, 25: 99831}, ('FiveDistinctDice', 7, 7): {0: 59, 25: 99941}, ('FiveDistinctDice', 7, 8): {0: 11, 25: 99989}, ('FiveDistinctDice', 8, 1): {0: 43586, 25: 56414}, ('FiveDistinctDice', 8, 2): {0: 9615, 25: 90385}, ('FiveDistinctDice', 8, 3): {0: 1944, 25: 98056}, ('FiveDistinctDice', 8, 4): {0: 383, 25: 99617}, ('FiveDistinctDice', 8, 5): {0: 77, 25: 99923}, ('FiveDistinctDice', 8, 6): {0: 18, 25: 99982}, ('FiveDistinctDice', 8, 7): {0: 3, 25: 99997}, ('FiveDistinctDice', 8, 8): {0: 2, 25: 99998}, ('FourAndFiveFullHouse', 1, 1): {0: 100000}, ('FourAndFiveFullHouse', 1, 2): {0: 100000}, ('FourAndFiveFullHouse', 1, 3): {0: 100000}, ('FourAndFiveFullHouse', 1, 4): {0: 100000}, ('FourAndFiveFullHouse', 1, 5): {0: 100000}, ('FourAndFiveFullHouse', 1, 6): {0: 100000}, ('FourAndFiveFullHouse', 1, 7): {0: 100000}, ('FourAndFiveFullHouse', 1, 8): {0: 100000}, ('FourAndFiveFullHouse', 2, 1): {0: 100000}, ('FourAndFiveFullHouse', 2, 2): {0: 100000}, ('FourAndFiveFullHouse', 2, 3): {0: 100000}, ('FourAndFiveFullHouse', 2, 4): {0: 100000}, ('FourAndFiveFullHouse', 2, 5): {0: 100000}, ('FourAndFiveFullHouse', 2, 6): {0: 100000}, ('FourAndFiveFullHouse', 2, 7): {0: 100000}, ('FourAndFiveFullHouse', 2, 8): {0: 100000}, ('FourAndFiveFullHouse', 3, 1): {0: 100000}, ('FourAndFiveFullHouse', 3, 2): {0: 100000}, ('FourAndFiveFullHouse', 3, 3): {0: 100000}, ('FourAndFiveFullHouse', 3, 4): {0: 100000}, ('FourAndFiveFullHouse', 3, 5): {0: 100000}, ('FourAndFiveFullHouse', 3, 6): {0: 100000}, ('FourAndFiveFullHouse', 3, 7): {0: 100000}, ('FourAndFiveFullHouse', 3, 8): {0: 100000}, ('FourAndFiveFullHouse', 4, 1): {0: 100000}, ('FourAndFiveFullHouse', 4, 2): {0: 100000}, ('FourAndFiveFullHouse', 4, 3): {0: 100000}, ('FourAndFiveFullHouse', 4, 4): {0: 100000}, ('FourAndFiveFullHouse', 4, 5): {0: 100000}, ('FourAndFiveFullHouse', 4, 6): {0: 100000}, ('FourAndFiveFullHouse', 4, 7): {0: 100000}, ('FourAndFiveFullHouse', 4, 8): {0: 100000}, ('FourAndFiveFullHouse', 5, 1): {0: 99724, 50: 276}, ('FourAndFiveFullHouse', 5, 2): {0: 96607, 50: 3393}, ('FourAndFiveFullHouse', 5, 3): {0: 88788, 50: 11212}, ('FourAndFiveFullHouse', 5, 4): {0: 77799, 50: 22201}, ('FourAndFiveFullHouse', 5, 5): {0: 65797, 50: 34203}, ('FourAndFiveFullHouse', 5, 6): {0: 54548, 50: 45452}, ('FourAndFiveFullHouse', 5, 7): {0: 44898, 50: 55102}, ('FourAndFiveFullHouse', 5, 8): {0: 36881, 50: 63119}, ('FourAndFiveFullHouse', 6, 1): {0: 98841, 50: 1159}, ('FourAndFiveFullHouse', 6, 2): {0: 88680, 50: 11320}, ('FourAndFiveFullHouse', 6, 3): {0: 70215, 50: 29785}, ('FourAndFiveFullHouse', 6, 4): {0: 50801, 50: 49199}, ('FourAndFiveFullHouse', 6, 5): {0: 35756, 50: 64244}, ('FourAndFiveFullHouse', 6, 6): {0: 24698, 50: 75302}, ('FourAndFiveFullHouse', 6, 7): {0: 17145, 50: 82855}, ('FourAndFiveFullHouse', 6, 8): {0: 11846, 50: 88154}, ('FourAndFiveFullHouse', 7, 1): {0: 97090, 50: 2910}, ('FourAndFiveFullHouse', 7, 2): {0: 77440, 50: 22560}, ('FourAndFiveFullHouse', 7, 3): {0: 51372, 50: 48628}, ('FourAndFiveFullHouse', 7, 4): {0: 30566, 50: 69434}, ('FourAndFiveFullHouse', 7, 5): {0: 17866, 50: 82134}, ('FourAndFiveFullHouse', 7, 6): {0: 10521, 50: 89479}, ('FourAndFiveFullHouse', 7, 7): {0: 6204, 50: 93796}, ('FourAndFiveFullHouse', 7, 8): {0: 3670, 50: 96330}, ('FourAndFiveFullHouse', 8, 1): {0: 94172, 50: 5828}, ('FourAndFiveFullHouse', 8, 2): {0: 64693, 50: 35307}, ('FourAndFiveFullHouse', 8, 3): {0: 35293, 50: 64707}, ('FourAndFiveFullHouse', 8, 4): {0: 17749, 50: 82251}, ('FourAndFiveFullHouse', 8, 5): {0: 8740, 50: 91260}, ('FourAndFiveFullHouse', 8, 6): {0: 4550, 50: 95450}, ('FourAndFiveFullHouse', 8, 7): {0: 2218, 50: 97782}, ('FourAndFiveFullHouse', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file +yacht_weights = { + ("Ones", 0, 0): {0: 100000}, + ("Ones", 0, 1): {0: 100000}, + ("Ones", 0, 2): {0: 100000}, + ("Ones", 0, 3): {0: 100000}, + ("Ones", 0, 4): {0: 100000}, + ("Ones", 0, 5): {0: 100000}, + ("Ones", 0, 6): {0: 100000}, + ("Ones", 0, 7): {0: 100000}, + ("Ones", 0, 8): {0: 100000}, + ("Ones", 1, 0): {0: 100000}, + ("Ones", 1, 1): {0: 83416, 1: 16584}, + ("Ones", 1, 2): {0: 69346, 1: 30654}, + ("Ones", 1, 3): {0: 57756, 1: 42244}, + ("Ones", 1, 4): {0: 48709, 1: 51291}, + ("Ones", 1, 5): {0: 40214, 1: 59786}, + ("Ones", 1, 6): {0: 33491, 1: 66509}, + ("Ones", 1, 7): {0: 27838, 1: 72162}, + ("Ones", 1, 8): {0: 23094, 1: 76906}, + ("Ones", 2, 0): {0: 100000}, + ("Ones", 2, 1): {0: 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("Distincts", 4, 4): {2: 21, 3: 9858, 4: 90121}, + ("Distincts", 4, 5): {2: 4906, 4: 95094}, + ("Distincts", 4, 6): {3: 2494, 4: 97506}, + ("Distincts", 4, 7): {3: 1297, 4: 98703}, + ("Distincts", 4, 8): {3: 611, 4: 99389}, + ("Distincts", 5, 1): {1: 5798, 3: 38538, 4: 46379, 5: 9285}, + ("Distincts", 5, 2): {2: 196, 3: 11647, 4: 56472, 5: 31685}, + ("Distincts", 5, 3): {2: 3022, 4: 44724, 5: 52254}, + ("Distincts", 5, 4): {3: 722, 4: 31632, 5: 67646}, + ("Distincts", 5, 5): {3: 215, 4: 21391, 5: 78394}, + ("Distincts", 5, 6): {3: 55, 4: 14470, 5: 85475}, + ("Distincts", 5, 7): {3: 15, 4: 9645, 5: 90340}, + ("Distincts", 5, 8): {3: 6463, 5: 93537}, + ("Distincts", 6, 1): {1: 2027, 3: 22985, 4: 50464, 5: 24524}, + ("Distincts", 6, 2): {2: 3299, 4: 35174, 5: 52573, 6: 8954}, + ("Distincts", 6, 3): {3: 417, 4: 17376, 5: 62578, 6: 19629}, + ("Distincts", 6, 4): {3: 44, 4: 7787, 5: 61029, 6: 31140}, + ("Distincts", 6, 5): {3: 3699, 5: 54997, 6: 41304}, + ("Distincts", 6, 6): {4: 1557, 5: 47225, 6: 51218}, + ("Distincts", 6, 7): {4: 728, 5: 40465, 6: 58807}, + ("Distincts", 6, 8): {4: 321, 5: 33851, 6: 65828}, + ("Distincts", 7, 1): {1: 665, 3: 13006, 4: 44964, 5: 41365}, + ("Distincts", 7, 2): {2: 839, 4: 18847, 5: 56731, 6: 23583}, + ("Distincts", 7, 3): {3: 6051, 5: 50312, 6: 43637}, + ("Distincts", 7, 4): {3: 1796, 5: 38393, 6: 59811}, + ("Distincts", 7, 5): {4: 529, 5: 27728, 6: 71743}, + ("Distincts", 7, 6): {4: 164, 5: 19417, 6: 80419}, + ("Distincts", 7, 7): {4: 53, 5: 13565, 6: 86382}, + ("Distincts", 7, 8): {4: 14, 5: 9531, 6: 90455}, + ("Distincts", 8, 1): {1: 198, 3: 6939, 4: 36582, 5: 44977, 6: 11304}, + ("Distincts", 8, 2): {2: 233, 4: 9181, 5: 50783, 6: 39803}, + ("Distincts", 8, 3): {3: 1976, 5: 34748, 6: 63276}, + ("Distincts", 8, 4): {4: 389, 5: 21008, 6: 78603}, + ("Distincts", 8, 5): {4: 78, 5: 12514, 6: 87408}, + ("Distincts", 8, 6): {4: 18, 5: 7159, 6: 92823}, + ("Distincts", 8, 7): {4: 4179, 6: 95821}, + ("Distincts", 8, 8): {5: 2440, 6: 97560}, + 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("TwosAndThrees", 2, 8): {0: 5212, 3: 28436, 5: 7294, 6: 59058}, + ("TwosAndThrees", 3, 1): {0: 29892, 2: 22136, 3: 27781, 5: 11005, 6: 9186}, + ("TwosAndThrees", 3, 2): {0: 17285, 2: 12757, 3: 31500, 5: 14092, 6: 17552, 8: 6814}, + ("TwosAndThrees", 3, 3): {0: 9889, 2: 7547, 3: 28958, 5: 13522, 6: 24863, 7: 7881, 9: 7340}, + ("TwosAndThrees", 3, 4): {0: 5717, 2: 4245, 3: 24072, 5: 11617, 6: 32865, 8: 7719, 9: 13765}, + ("TwosAndThrees", 3, 5): {0: 5795, 3: 19123, 5: 9296, 6: 35708, 8: 8683, 9: 21395}, + ("TwosAndThrees", 3, 6): {0: 3273, 3: 14740, 5: 7148, 6: 36387, 8: 8820, 9: 29632}, + ("TwosAndThrees", 3, 7): {0: 1917, 3: 16239, 6: 35604, 8: 8739, 9: 37501}, + ("TwosAndThrees", 3, 8): {0: 1124, 3: 12222, 6: 33537, 8: 8018, 9: 45099}, + ("TwosAndThrees", 4, 1): {0: 19619, 2: 19764, 3: 19811, 4: 7306, 5: 14893, 6: 8721, 7: 9886}, + ("TwosAndThrees", 4, 2): {0: 9395, 2: 9519, 3: 24407, 5: 15873, 6: 21959, 8: 8667, 9: 10180}, + ("TwosAndThrees", 4, 3): {0: 4538, 2: 4676, 3: 18292, 5: 12541, 6: 26350, 8: 11445, 9: 15471, 11: 6687}, + ("TwosAndThrees", 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 21496, 10: 6859, 12: 7183}, + ("TwosAndThrees", 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 29121, 11: 6926, 12: 12776}, + ("TwosAndThrees", 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 32849, 11: 7894, 12: 19495}, + ("TwosAndThrees", 4, 7): {0: 224, 2: 6086, 6: 16140, 8: 7881, 9: 34297, 11: 8601, 12: 26771}, + ("TwosAndThrees", 4, 8): {0: 123, 2: 3571, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, + ("TwosAndThrees", 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, + ("TwosAndThrees", 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, + ("TwosAndThrees", 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, + ("TwosAndThrees", 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 15422, 14: 7246}, + ("TwosAndThrees", 5, 5): {0: 781, 3: 6624, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 20783, 13: 6512, 15: 7632}, + ("TwosAndThrees", 5, 6): {0: 123, 2: 3622, 6: 9065, 8: 6610, 9: 22902, 11: 10593, 12: 27521, 14: 6551, 15: 13013}, + ("TwosAndThrees", 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 31332, 14: 7512, 15: 19396}, + ("TwosAndThrees", 5, 8): {0: 986, 6: 6740, 9: 16186, 11: 7771, 12: 33474, 14: 7963, 15: 26880}, + ("TwosAndThrees", 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 13500, 10: 7359}, + ("TwosAndThrees", 6, 2): {0: 2944, 2: 4382, 3: 12512, 5: 11978, 6: 20178, 8: 13344, 9: 16448, 11: 7676, 12: 10538}, + ("TwosAndThrees", 6, 3): {0: 977, 2: 7869, 5: 6758, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, + ("TwosAndThrees", 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, + ("TwosAndThrees", 6, 5): { + 0: 1610, + 5: 7206, + 7: 6521, + 9: 16495, + 11: 10563, + 12: 23042, + 14: 10049, + 15: 16281, + 17: 8233, 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11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, + ("TwosAndThrees", 7, 6): {0: 9, 2: 3545, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, + ("TwosAndThrees", 7, 7): { + 0: 1582, + 9: 6971, + 12: 11911, + 14: 7969, + 15: 22333, + 17: 10123, + 18: 22122, + 19: 6876, + 21: 10113, + }, + ("TwosAndThrees", 7, 8): {0: 31, 5: 4682, 12: 7854, 13: 6592, 15: 20934, 17: 9621, 18: 27839, 20: 6667, 21: 15780}, + ("TwosAndThrees", 8, 1): { + 0: 3799, + 2: 7917, + 3: 7840, + 4: 6794, + 5: 13610, + 6: 10144, + 7: 10309, + 8: 11477, + 9: 7504, + 10: 11990, + 12: 8616, + }, + ("TwosAndThrees", 8, 2): { + 0: 902, + 2: 7460, + 5: 6900, + 6: 13750, + 8: 11961, + 9: 10605, + 10: 7327, + 11: 11041, + 12: 8197, + 13: 11532, + 15: 10325, + }, + ("TwosAndThrees", 8, 3): { + 0: 201, + 2: 5037, + 6: 7036, + 8: 7389, + 9: 14414, + 11: 11338, + 12: 17189, + 14: 10523, + 15: 8898, + 16: 9521, + 18: 8454, + }, + ("TwosAndThrees", 8, 4): { + 0: 1617, + 6: 6867, + 9: 9271, + 11: 8286, + 12: 16078, + 14: 11359, + 15: 17352, + 17: 9133, + 18: 10960, + 20: 9077, + }, + ("TwosAndThrees", 8, 5): { + 0: 16, + 2: 3585, + 9: 10269, + 12: 12458, + 14: 9578, + 15: 18439, + 17: 10743, + 18: 16800, + 20: 6621, + 21: 11491, + }, + ("TwosAndThrees", 8, 6): { + 0: 170, + 6: 6891, + 12: 8548, + 14: 7037, + 15: 16817, + 17: 10618, + 18: 20331, + 20: 8749, + 21: 13840, + 23: 6999, + }, + ("TwosAndThrees", 8, 7): {0: 1, 2: 3335, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 24071, 24: 7305}, + ("TwosAndThrees", 8, 8): { + 3: 795, + 11: 6938, + 15: 10708, + 17: 7289, + 18: 21517, + 20: 10020, + 21: 23586, + 22: 7035, + 24: 12112, + }, + ("SumOfOdds", 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, + ("SumOfOdds", 1, 2): {0: 33472, 1: 11017, 3: 27886, 5: 27625}, + ("SumOfOdds", 1, 3): {0: 27892, 1: 9293, 3: 23006, 5: 39809}, + ("SumOfOdds", 1, 4): {0: 23060, 1: 7857, 3: 19299, 5: 49784}, + ("SumOfOdds", 1, 5): {0: 19333, 1: 6559, 3: 15941, 5: 58167}, + ("SumOfOdds", 1, 6): {0: 21678, 3: 13224, 5: 65098}, + ("SumOfOdds", 1, 7): {0: 17840, 3: 11191, 5: 70969}, + ("SumOfOdds", 1, 8): {0: 14690, 3: 9361, 5: 75949}, + ("SumOfOdds", 2, 1): {0: 24611, 1: 19615, 3: 22234, 5: 16856, 6: 8312, 8: 8372}, + ("SumOfOdds", 2, 2): {0: 11216, 1: 8605, 3: 24576, 5: 18558, 6: 13858, 8: 15414, 10: 7773}, + ("SumOfOdds", 2, 3): {0: 13730, 3: 17055, 5: 22224, 6: 12709, 8: 18363, 10: 15919}, + ("SumOfOdds", 2, 4): {0: 9599, 3: 11842, 5: 23132, 6: 11358, 8: 19129, 10: 24940}, + ("SumOfOdds", 2, 5): {0: 6652, 3: 8296, 5: 22529, 6: 10020, 8: 18712, 10: 33791}, + ("SumOfOdds", 2, 6): {0: 2606, 1: 7798, 5: 20970, 6: 8852, 8: 17272, 10: 42502}, + ("SumOfOdds", 2, 7): {0: 7262, 5: 19160, 6: 7664, 8: 15860, 10: 50054}, + ("SumOfOdds", 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618}, + ("SumOfOdds", 3, 1): {0: 12467, 1: 16736, 3: 12861, 4: 8109, 5: 13902, 6: 15350, 8: 11660, 10: 8915}, + ("SumOfOdds", 3, 2): {0: 8635, 3: 15579, 5: 10240, 6: 17409, 8: 15592, 9: 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7): {20: 100000}, + ("ThreeDistinctDice", 5, 8): {20: 100000}, + ("ThreeDistinctDice", 6, 1): {0: 1992, 20: 98008}, + ("ThreeDistinctDice", 6, 2): {0: 21, 20: 99979}, + ("ThreeDistinctDice", 6, 3): {20: 100000}, + ("ThreeDistinctDice", 6, 4): {20: 100000}, + ("ThreeDistinctDice", 6, 5): {20: 100000}, + ("ThreeDistinctDice", 6, 6): {20: 100000}, + ("ThreeDistinctDice", 6, 7): {20: 100000}, + ("ThreeDistinctDice", 6, 8): {20: 100000}, + ("ThreeDistinctDice", 7, 1): {0: 692, 20: 99308}, + ("ThreeDistinctDice", 7, 2): {0: 4, 20: 99996}, + ("ThreeDistinctDice", 7, 3): {20: 100000}, + ("ThreeDistinctDice", 7, 4): {20: 100000}, + ("ThreeDistinctDice", 7, 5): {20: 100000}, + ("ThreeDistinctDice", 7, 6): {20: 100000}, + ("ThreeDistinctDice", 7, 7): {20: 100000}, + ("ThreeDistinctDice", 7, 8): {20: 100000}, + ("ThreeDistinctDice", 8, 1): {0: 243, 20: 99757}, + ("ThreeDistinctDice", 8, 2): {0: 1, 20: 99999}, + ("ThreeDistinctDice", 8, 3): {20: 100000}, + ("ThreeDistinctDice", 8, 4): {20: 100000}, 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("TwoPair", 4, 1): {0: 93065, 30: 6935}, + ("TwoPair", 4, 2): {0: 82102, 30: 17898}, + ("TwoPair", 4, 3): {0: 71209, 30: 28791}, + ("TwoPair", 4, 4): {0: 61609, 30: 38391}, + ("TwoPair", 4, 5): {0: 53036, 30: 46964}, + ("TwoPair", 4, 6): {0: 45705, 30: 54295}, + ("TwoPair", 4, 7): {0: 39398, 30: 60602}, + ("TwoPair", 4, 8): {0: 33673, 30: 66327}, + ("TwoPair", 5, 1): {0: 72847, 30: 27153}, + ("TwoPair", 5, 2): {0: 46759, 30: 53241}, + ("TwoPair", 5, 3): {0: 29462, 30: 70538}, + ("TwoPair", 5, 4): {0: 18351, 30: 81649}, + ("TwoPair", 5, 5): {0: 11793, 30: 88207}, + ("TwoPair", 5, 6): {0: 7385, 30: 92615}, + ("TwoPair", 5, 7): {0: 4610, 30: 95390}, + ("TwoPair", 5, 8): {0: 2938, 30: 97062}, + ("TwoPair", 6, 1): {0: 44431, 30: 55569}, + ("TwoPair", 6, 2): {0: 17183, 30: 82817}, + ("TwoPair", 6, 3): {0: 6759, 30: 93241}, + ("TwoPair", 6, 4): {0: 2562, 30: 97438}, + ("TwoPair", 6, 5): {0: 948, 30: 99052}, + ("TwoPair", 6, 6): {0: 375, 30: 99625}, + ("TwoPair", 6, 7): {0: 138, 30: 99862}, + ("TwoPair", 6, 8): {0: 57, 30: 99943}, + ("TwoPair", 7, 1): {0: 19888, 30: 80112}, + ("TwoPair", 7, 2): {0: 3935, 30: 96065}, + ("TwoPair", 7, 3): {0: 801, 30: 99199}, + ("TwoPair", 7, 4): {0: 175, 30: 99825}, + ("TwoPair", 7, 5): {0: 31, 30: 99969}, + ("TwoPair", 7, 6): {0: 7, 30: 99993}, + ("TwoPair", 7, 7): {0: 2, 30: 99998}, + ("TwoPair", 7, 8): {30: 100000}, + ("TwoPair", 8, 1): {0: 6791, 30: 93209}, + ("TwoPair", 8, 2): {0: 588, 30: 99412}, + ("TwoPair", 8, 3): {0: 61, 30: 99939}, + ("TwoPair", 8, 4): {0: 6, 30: 99994}, + ("TwoPair", 8, 5): {30: 100000}, + ("TwoPair", 8, 6): {30: 100000}, + ("TwoPair", 8, 7): {30: 100000}, + ("TwoPair", 8, 8): {30: 100000}, + ("TwoOneTwoConsecutive", 1, 1): {0: 100000}, + ("TwoOneTwoConsecutive", 1, 2): {0: 100000}, + ("TwoOneTwoConsecutive", 1, 3): {0: 100000}, + ("TwoOneTwoConsecutive", 1, 4): {0: 100000}, + ("TwoOneTwoConsecutive", 1, 5): {0: 100000}, + ("TwoOneTwoConsecutive", 1, 6): {0: 100000}, + ("TwoOneTwoConsecutive", 1, 7): {0: 100000}, + ("TwoOneTwoConsecutive", 1, 8): {0: 100000}, + ("TwoOneTwoConsecutive", 2, 1): {0: 100000}, + ("TwoOneTwoConsecutive", 2, 2): {0: 100000}, + ("TwoOneTwoConsecutive", 2, 3): {0: 100000}, + ("TwoOneTwoConsecutive", 2, 4): {0: 100000}, + ("TwoOneTwoConsecutive", 2, 5): {0: 100000}, + ("TwoOneTwoConsecutive", 2, 6): {0: 100000}, + ("TwoOneTwoConsecutive", 2, 7): {0: 100000}, + ("TwoOneTwoConsecutive", 2, 8): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 1): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 2): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 3): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 4): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 5): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 6): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 7): {0: 100000}, + ("TwoOneTwoConsecutive", 3, 8): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 1): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 2): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 3): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 4): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 5): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 6): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 7): {0: 100000}, + ("TwoOneTwoConsecutive", 4, 8): {0: 100000}, + ("TwoOneTwoConsecutive", 5, 1): {0: 98403, 40: 1597}, + ("TwoOneTwoConsecutive", 5, 2): {0: 90651, 40: 9349}, + ("TwoOneTwoConsecutive", 5, 3): {0: 80100, 40: 19900}, + ("TwoOneTwoConsecutive", 5, 4): {0: 69131, 40: 30869}, + ("TwoOneTwoConsecutive", 5, 5): {0: 58252, 40: 41748}, + ("TwoOneTwoConsecutive", 5, 6): {0: 49405, 40: 50595}, + ("TwoOneTwoConsecutive", 5, 7): {0: 41585, 40: 58415}, + ("TwoOneTwoConsecutive", 5, 8): {0: 34952, 40: 65048}, + ("TwoOneTwoConsecutive", 6, 1): {0: 93465, 40: 6535}, + ("TwoOneTwoConsecutive", 6, 2): {0: 73416, 40: 26584}, + ("TwoOneTwoConsecutive", 6, 3): {0: 54041, 40: 45959}, + ("TwoOneTwoConsecutive", 6, 4): {0: 38535, 40: 61465}, + ("TwoOneTwoConsecutive", 6, 5): {0: 27366, 40: 72634}, + ("TwoOneTwoConsecutive", 6, 6): {0: 18924, 40: 81076}, + ("TwoOneTwoConsecutive", 6, 7): {0: 13387, 40: 86613}, + ("TwoOneTwoConsecutive", 6, 8): {0: 9134, 40: 90866}, + ("TwoOneTwoConsecutive", 7, 1): {0: 84168, 40: 15832}, + ("TwoOneTwoConsecutive", 7, 2): {0: 52659, 40: 47341}, + ("TwoOneTwoConsecutive", 7, 3): {0: 30435, 40: 69565}, + ("TwoOneTwoConsecutive", 7, 4): {0: 17477, 40: 82523}, + ("TwoOneTwoConsecutive", 7, 5): {0: 9782, 40: 90218}, + ("TwoOneTwoConsecutive", 7, 6): {0: 5316, 40: 94684}, + ("TwoOneTwoConsecutive", 7, 7): {0: 2995, 40: 97005}, + ("TwoOneTwoConsecutive", 7, 8): {0: 1689, 40: 98311}, + ("TwoOneTwoConsecutive", 8, 1): {0: 71089, 40: 28911}, + ("TwoOneTwoConsecutive", 8, 2): {0: 33784, 40: 66216}, + ("TwoOneTwoConsecutive", 8, 3): {0: 14820, 40: 85180}, + ("TwoOneTwoConsecutive", 8, 4): {0: 6265, 40: 93735}, + ("TwoOneTwoConsecutive", 8, 5): {0: 2600, 40: 97400}, + ("TwoOneTwoConsecutive", 8, 6): {0: 1155, 40: 98845}, + ("TwoOneTwoConsecutive", 8, 7): {0: 487, 40: 99513}, + ("TwoOneTwoConsecutive", 8, 8): {0: 190, 40: 99810}, + ("FiveDistinctDice", 1, 1): {0: 100000}, + ("FiveDistinctDice", 1, 2): {0: 100000}, + ("FiveDistinctDice", 1, 3): {0: 100000}, + ("FiveDistinctDice", 1, 4): {0: 100000}, + ("FiveDistinctDice", 1, 5): {0: 100000}, + ("FiveDistinctDice", 1, 6): {0: 100000}, + ("FiveDistinctDice", 1, 7): {0: 100000}, + ("FiveDistinctDice", 1, 8): {0: 100000}, + ("FiveDistinctDice", 2, 1): {0: 100000}, + ("FiveDistinctDice", 2, 2): {0: 100000}, + ("FiveDistinctDice", 2, 3): {0: 100000}, + ("FiveDistinctDice", 2, 4): {0: 100000}, + ("FiveDistinctDice", 2, 5): {0: 100000}, + ("FiveDistinctDice", 2, 6): {0: 100000}, + ("FiveDistinctDice", 2, 7): {0: 100000}, + ("FiveDistinctDice", 2, 8): {0: 100000}, + ("FiveDistinctDice", 3, 1): {0: 100000}, + ("FiveDistinctDice", 3, 2): {0: 100000}, + ("FiveDistinctDice", 3, 3): {0: 100000}, + ("FiveDistinctDice", 3, 4): {0: 100000}, + ("FiveDistinctDice", 3, 5): {0: 100000}, + ("FiveDistinctDice", 3, 6): {0: 100000}, + ("FiveDistinctDice", 3, 7): {0: 100000}, + ("FiveDistinctDice", 3, 8): {0: 100000}, + ("FiveDistinctDice", 4, 1): {0: 100000}, + ("FiveDistinctDice", 4, 2): {0: 100000}, + ("FiveDistinctDice", 4, 3): {0: 100000}, + ("FiveDistinctDice", 4, 4): {0: 100000}, + ("FiveDistinctDice", 4, 5): {0: 100000}, + ("FiveDistinctDice", 4, 6): {0: 100000}, + ("FiveDistinctDice", 4, 7): {0: 100000}, + ("FiveDistinctDice", 4, 8): {0: 100000}, + ("FiveDistinctDice", 5, 1): {0: 90907, 25: 9093}, + ("FiveDistinctDice", 5, 2): {0: 68020, 25: 31980}, + ("FiveDistinctDice", 5, 3): {0: 47692, 25: 52308}, + ("FiveDistinctDice", 5, 4): {0: 32383, 25: 67617}, + ("FiveDistinctDice", 5, 5): {0: 21631, 25: 78369}, + ("FiveDistinctDice", 5, 6): {0: 14366, 25: 85634}, + ("FiveDistinctDice", 5, 7): {0: 9568, 25: 90432}, + ("FiveDistinctDice", 5, 8): {0: 6360, 25: 93640}, + ("FiveDistinctDice", 6, 1): {0: 75051, 25: 24949}, + ("FiveDistinctDice", 6, 2): {0: 38409, 25: 61591}, + ("FiveDistinctDice", 6, 3): {0: 17505, 25: 82495}, + ("FiveDistinctDice", 6, 4): {0: 7862, 25: 92138}, + ("FiveDistinctDice", 6, 5): {0: 3538, 25: 96462}, + ("FiveDistinctDice", 6, 6): {0: 1645, 25: 98355}, + ("FiveDistinctDice", 6, 7): {0: 714, 25: 99286}, + ("FiveDistinctDice", 6, 8): {0: 341, 25: 99659}, + ("FiveDistinctDice", 7, 1): {0: 58588, 25: 41412}, + ("FiveDistinctDice", 7, 2): {0: 19487, 25: 80513}, + ("FiveDistinctDice", 7, 3): {0: 6043, 25: 93957}, + ("FiveDistinctDice", 7, 4): {0: 1799, 25: 98201}, + ("FiveDistinctDice", 7, 5): {0: 544, 25: 99456}, + ("FiveDistinctDice", 7, 6): {0: 169, 25: 99831}, + ("FiveDistinctDice", 7, 7): {0: 59, 25: 99941}, + ("FiveDistinctDice", 7, 8): {0: 11, 25: 99989}, + ("FiveDistinctDice", 8, 1): {0: 43586, 25: 56414}, + ("FiveDistinctDice", 8, 2): {0: 9615, 25: 90385}, + ("FiveDistinctDice", 8, 3): {0: 1944, 25: 98056}, + ("FiveDistinctDice", 8, 4): {0: 383, 25: 99617}, + ("FiveDistinctDice", 8, 5): {0: 77, 25: 99923}, + ("FiveDistinctDice", 8, 6): {0: 18, 25: 99982}, + ("FiveDistinctDice", 8, 7): {0: 3, 25: 99997}, + ("FiveDistinctDice", 8, 8): {0: 2, 25: 99998}, + ("FourAndFiveFullHouse", 1, 1): {0: 100000}, + ("FourAndFiveFullHouse", 1, 2): {0: 100000}, + ("FourAndFiveFullHouse", 1, 3): {0: 100000}, + ("FourAndFiveFullHouse", 1, 4): {0: 100000}, + ("FourAndFiveFullHouse", 1, 5): {0: 100000}, + ("FourAndFiveFullHouse", 1, 6): {0: 100000}, + ("FourAndFiveFullHouse", 1, 7): {0: 100000}, + ("FourAndFiveFullHouse", 1, 8): {0: 100000}, + ("FourAndFiveFullHouse", 2, 1): {0: 100000}, + ("FourAndFiveFullHouse", 2, 2): {0: 100000}, + ("FourAndFiveFullHouse", 2, 3): {0: 100000}, + ("FourAndFiveFullHouse", 2, 4): {0: 100000}, + ("FourAndFiveFullHouse", 2, 5): {0: 100000}, + ("FourAndFiveFullHouse", 2, 6): {0: 100000}, + ("FourAndFiveFullHouse", 2, 7): {0: 100000}, + ("FourAndFiveFullHouse", 2, 8): {0: 100000}, + ("FourAndFiveFullHouse", 3, 1): {0: 100000}, + ("FourAndFiveFullHouse", 3, 2): {0: 100000}, + ("FourAndFiveFullHouse", 3, 3): {0: 100000}, + ("FourAndFiveFullHouse", 3, 4): {0: 100000}, + ("FourAndFiveFullHouse", 3, 5): {0: 100000}, + ("FourAndFiveFullHouse", 3, 6): {0: 100000}, + ("FourAndFiveFullHouse", 3, 7): {0: 100000}, + ("FourAndFiveFullHouse", 3, 8): {0: 100000}, + ("FourAndFiveFullHouse", 4, 1): {0: 100000}, + ("FourAndFiveFullHouse", 4, 2): {0: 100000}, + ("FourAndFiveFullHouse", 4, 3): {0: 100000}, + ("FourAndFiveFullHouse", 4, 4): {0: 100000}, + ("FourAndFiveFullHouse", 4, 5): {0: 100000}, + ("FourAndFiveFullHouse", 4, 6): {0: 100000}, + ("FourAndFiveFullHouse", 4, 7): {0: 100000}, + ("FourAndFiveFullHouse", 4, 8): {0: 100000}, + ("FourAndFiveFullHouse", 5, 1): {0: 99724, 50: 276}, + ("FourAndFiveFullHouse", 5, 2): {0: 96607, 50: 3393}, + ("FourAndFiveFullHouse", 5, 3): {0: 88788, 50: 11212}, + ("FourAndFiveFullHouse", 5, 4): {0: 77799, 50: 22201}, + ("FourAndFiveFullHouse", 5, 5): {0: 65797, 50: 34203}, + ("FourAndFiveFullHouse", 5, 6): {0: 54548, 50: 45452}, + ("FourAndFiveFullHouse", 5, 7): {0: 44898, 50: 55102}, + ("FourAndFiveFullHouse", 5, 8): {0: 36881, 50: 63119}, + ("FourAndFiveFullHouse", 6, 1): {0: 98841, 50: 1159}, + ("FourAndFiveFullHouse", 6, 2): {0: 88680, 50: 11320}, + ("FourAndFiveFullHouse", 6, 3): {0: 70215, 50: 29785}, + ("FourAndFiveFullHouse", 6, 4): {0: 50801, 50: 49199}, + ("FourAndFiveFullHouse", 6, 5): {0: 35756, 50: 64244}, + ("FourAndFiveFullHouse", 6, 6): {0: 24698, 50: 75302}, + ("FourAndFiveFullHouse", 6, 7): {0: 17145, 50: 82855}, + ("FourAndFiveFullHouse", 6, 8): {0: 11846, 50: 88154}, + ("FourAndFiveFullHouse", 7, 1): {0: 97090, 50: 2910}, + ("FourAndFiveFullHouse", 7, 2): {0: 77440, 50: 22560}, + ("FourAndFiveFullHouse", 7, 3): {0: 51372, 50: 48628}, + ("FourAndFiveFullHouse", 7, 4): {0: 30566, 50: 69434}, + ("FourAndFiveFullHouse", 7, 5): {0: 17866, 50: 82134}, + ("FourAndFiveFullHouse", 7, 6): {0: 10521, 50: 89479}, + ("FourAndFiveFullHouse", 7, 7): {0: 6204, 50: 93796}, + ("FourAndFiveFullHouse", 7, 8): {0: 3670, 50: 96330}, + ("FourAndFiveFullHouse", 8, 1): {0: 94172, 50: 5828}, + ("FourAndFiveFullHouse", 8, 2): {0: 64693, 50: 35307}, + ("FourAndFiveFullHouse", 8, 3): {0: 35293, 50: 64707}, + ("FourAndFiveFullHouse", 8, 4): {0: 17749, 50: 82251}, + ("FourAndFiveFullHouse", 8, 5): {0: 8740, 50: 91260}, + ("FourAndFiveFullHouse", 8, 6): {0: 4550, 50: 95450}, + ("FourAndFiveFullHouse", 8, 7): {0: 2218, 50: 97782}, + ("FourAndFiveFullHouse", 8, 8): {0: 1084, 50: 98916}, +} diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 13b86d02ef7e..cb361ebf7544 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -6,7 +6,18 @@ from .Items import YachtDiceItem, item_groups, item_table from .Locations import YachtDiceLocation, all_locations, ini_locations -from .Options import YachtDiceOptions, yd_option_groups, GameDifficulty,MinimalNumberOfDiceAndRolls,PointsSize,MinimizeExtraItems,AddExtraPoints,AddStoryChapters,WhichStory,AllowManual +from .Options import ( + YachtDiceOptions, + yd_option_groups, + GameDifficulty, + MinimalNumberOfDiceAndRolls, + PointsSize, + MinimizeExtraItems, + AddExtraPoints, + AddStoryChapters, + WhichStory, + AllowManual, +) from .Rules import dice_simulation_fill_pool, set_yacht_completion_rules, set_yacht_rules @@ -66,7 +77,7 @@ def generate_early(self): # number of dice and rolls in the pull opt_dice_and_rolls = self.options.minimal_number_of_dice_and_rolls - + if opt_dice_and_rolls == MinimalNumberOfDiceAndRolls.option_5_dice_and_3_rolls: num_of_dice = 5 num_of_rolls = 3 @@ -84,12 +95,11 @@ def generate_early(self): num_of_rolls = 2 else: raise Exception(f"[Yacht Dice] Unknown MinimalNumberOfDiceAndRolls options {opt_dice_and_rolls}") - # amount of dice and roll fragments needed to get a dice or roll self.frags_per_dice = self.options.number_of_dice_fragments_per_dice.value self.frags_per_roll = self.options.number_of_roll_fragments_per_roll.value - + # set difficulty diff_value = self.options.game_difficulty if diff_value == GameDifficulty.option_easy: @@ -187,7 +197,7 @@ def generate_early(self): "Fixed Score Multiplier": self.options.weight_of_fixed_score_multiplier.value, "Step Score Multiplier": self.options.weight_of_step_score_multiplier.value, "Double category": self.options.weight_of_double_category.value, - "Points": self.options.weight_of_points.value, + "Points": self.options.weight_of_points.value, } # if the player wants extra rolls or dice, fill the pool with fragments until close to an extra roll/dice @@ -235,7 +245,6 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) # Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item which_item_to_add = self.random.choices(list(weights.keys()), weights=list(weights.values()))[0] - if which_item_to_add == "Dice": weights["Dice"] /= 1 + self.frags_per_dice return "Dice" if self.frags_per_dice == 1 else "Dice Fragment" @@ -259,15 +268,15 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) return self.random.choices(possible_categories, weights=cat_weights)[0] elif which_item_to_add == "Points": score_dist = self.options.points_size - probs = { "1 Point": 1, "10 Points": 0, "100 Points": 0} + probs = {"1 Point": 1, "10 Points": 0, "100 Points": 0} if score_dist == PointsSize.option_small: - probs = { "1 Point": 0.9, "10 Points": 0.1, "100 Points": 0} + probs = {"1 Point": 0.9, "10 Points": 0.1, "100 Points": 0} elif score_dist == PointsSize.option_medium: - probs = { "1 Point": 0, "10 Points": 1, "100 Points": 0} + probs = {"1 Point": 0, "10 Points": 1, "100 Points": 0} elif score_dist == PointsSize.option_large: - probs = { "1 Point": 0, "10 Points": 0.3, "100 Points": 0.7} + probs = {"1 Point": 0, "10 Points": 0.3, "100 Points": 0.7} elif score_dist == PointsSize.option_mix: - probs = { "1 Point": 0.3, "10 Points": 0.4, "100 Points": 0.3} + probs = {"1 Point": 0.3, "10 Points": 0.4, "100 Points": 0.3} else: raise Exception(f"[Yacht Dice] Unknown PointsSize options {score_dist}") choice = self.random.choices(list(probs.keys()), weights=list(probs.values()))[0] @@ -292,14 +301,18 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) for _ in range(17): self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added)) - score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty) + score_in_logic = dice_simulation_fill_pool( + self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty + ) # if we overshoot, remove items until you get below 1000, then return the last removed item if score_in_logic > 1000: removed_item = "" while score_in_logic > 1000: removed_item = self.itempool.pop() - score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty) + score_in_logic = dice_simulation_fill_pool( + self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty + ) self.itempool.append(removed_item) else: # Keep adding items until a score of 1000 is in logic @@ -313,7 +326,9 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) elif item_to_add == "100 Points": score_in_logic += 100 else: - score_in_logic = dice_simulation_fill_pool(self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty) + score_in_logic = dice_simulation_fill_pool( + self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty + ) # count the number of locations in the game. already_items = len(self.itempool) + 1 # +1 because of Victory item @@ -365,7 +380,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) # these items are filler and do not do anything. # probability of Good and Bad rng, based on difficulty for fun :) - + p = 1.1 - 0.25 * self.difficulty already_items = len(self.itempool) + 1 self.itempool += self.random.choices( @@ -393,9 +408,7 @@ def create_items(self): def create_regions(self): # call the ini_locations function, that generates locations based on the inputs. - location_table = ini_locations( - self.goal_score, self.max_score, self.number_of_locations, self.difficulty - ) + location_table = ini_locations(self.goal_score, self.max_score, self.number_of_locations, self.difficulty) # simple menu-board construction menu = Region("Menu", self.player, self.multiworld) From e8fd7ca0fe3862c07a7b1b5b494577cf7cc3ec1c Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 14 Jun 2024 22:40:35 +0200 Subject: [PATCH 099/127] Add Dict import --- worlds/yachtdice/__init__.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index cb361ebf7544..e3db5f17dc02 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -2,6 +2,8 @@ from BaseClasses import CollectionState, Entrance, Item, Region, Tutorial +from typing import Dict + from worlds.AutoWorld import WebWorld, World from .Items import YachtDiceItem, item_groups, item_table From 090859a0f74b77b16d7d2d621c98b3d6b3cfc68c Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 15 Jun 2024 00:59:36 +0200 Subject: [PATCH 100/127] Split the cache per player, limit size to 400. --- worlds/yachtdice/Rules.py | 28 ++++++++++++++++++++-------- worlds/yachtdice/__init__.py | 10 ++++------ 2 files changed, 24 insertions(+), 14 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 62379916c3c4..bad8380f42e9 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -118,7 +118,7 @@ def extract_progression(state, player, frags_per_dice, frags_per_roll): yachtdice_cache = {} -def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff): +def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, diff, player): """ Function that returns the feasible score in logic based on items obtained. """ @@ -131,9 +131,14 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu diff, ) # identifier + if player not in yachtdice_cache: + yachtdice_cache[player] = {} + # if already computed, return the result - if tup in yachtdice_cache: - return yachtdice_cache[tup] + if tup in yachtdice_cache[player]: + # index = list(yachtdice_cache[player].keys()).index(tup) # Get the index of tup in the keys list + # print(f"Using cache {player} {index} / {len(yachtdice_cache[player])}") + return yachtdice_cache[player][tup] # sort categories because for the step multiplier, you will want low-scoring categories first categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) @@ -208,12 +213,19 @@ def percentile_distribution(dist, percentile): # save result into the cache, then return it outcome = sum([percentile_distribution(total_dist, perc) for perc in perc_return]) / len(perc_return) - yachtdice_cache[tup] = max(5, math.floor(outcome)) # at least 5. + yachtdice_cache[player][tup] = max(5, math.floor(outcome)) # at least 5. + + # cache management; we rarely/never need more than 400 entries. But if for some reason it became large, + # delete the first entry of the player cache. + if len(yachtdice_cache[player]) > 400: + # Remove the oldest item + oldest_tup = next(iter(yachtdice_cache[player])) + del yachtdice_cache[player][oldest_tup] - return yachtdice_cache[tup] + return yachtdice_cache[player][tup] -def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, difficulty): +def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, difficulty, player): """ Returns the feasible score that one can reach with the current state, options and difficulty. This function is called with state being a list, during filling of item pool. @@ -221,7 +233,7 @@ def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, difficulty) categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression( state, "state_is_a_list", frags_per_dice, frags_per_roll ) - return dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty) + expoints + return dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) + expoints def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, difficulty): @@ -236,7 +248,7 @@ def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, state, player, frags_per_dice, frags_per_roll ) state.prog_items[player]["maximum_achievable_score"] = ( - dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty) + expoints + dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) + expoints ) return state.prog_items[player]["maximum_achievable_score"] diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index e3db5f17dc02..05e8750b9daf 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -16,9 +16,7 @@ PointsSize, MinimizeExtraItems, AddExtraPoints, - AddStoryChapters, - WhichStory, - AllowManual, + AddStoryChapters ) from .Rules import dice_simulation_fill_pool, set_yacht_completion_rules, set_yacht_rules @@ -304,7 +302,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added)) score_in_logic = dice_simulation_fill_pool( - self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty + self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty, self.player ) # if we overshoot, remove items until you get below 1000, then return the last removed item @@ -313,7 +311,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) while score_in_logic > 1000: removed_item = self.itempool.pop() score_in_logic = dice_simulation_fill_pool( - self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty + self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty, self.player ) self.itempool.append(removed_item) else: @@ -329,7 +327,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) score_in_logic += 100 else: score_in_logic = dice_simulation_fill_pool( - self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty + self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty, self.player ) # count the number of locations in the game. From 7d21ec902f249d1469e6ec8f009269a62ef817e0 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 15 Jun 2024 01:02:19 +0200 Subject: [PATCH 101/127] :dog: --- worlds/yachtdice/Options.py | 4 ++-- worlds/yachtdice/Rules.py | 8 +++++--- worlds/yachtdice/__init__.py | 25 ++++++++++++++++--------- 3 files changed, 23 insertions(+), 14 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index fba5a5cdbb71..d795af6513e6 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -315,7 +315,7 @@ class YachtDiceOptions(PerGameCommonOptions): ChanceOfDoubleCategory, ChanceOfPoints, PointsSize, - ] + ], ), OptionGroup( "Other items", @@ -324,6 +324,6 @@ class YachtDiceOptions(PerGameCommonOptions): AddExtraPoints, AddStoryChapters, WhichStory - ] + ], ) ] diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index bad8380f42e9..9aed9335f7ac 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -8,7 +8,6 @@ from .YachtWeights import yacht_weights - # This module adds logic to the apworld. # In short, we ran a simulation for every possible combination of dice and rolls you can have, per category. # This simulation has a good strategy for locking dice. @@ -233,7 +232,9 @@ def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, difficulty, categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression( state, "state_is_a_list", frags_per_dice, frags_per_roll ) - return dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) + expoints + return ( + dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) + expoints + ) def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, difficulty): @@ -248,7 +249,8 @@ def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, state, player, frags_per_dice, frags_per_roll ) state.prog_items[player]["maximum_achievable_score"] = ( - dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) + expoints + dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) + + expoints ) return state.prog_items[player]["maximum_achievable_score"] diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 05e8750b9daf..15516d010b1b 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,22 +1,21 @@ import math +from typing import Dict from BaseClasses import CollectionState, Entrance, Item, Region, Tutorial -from typing import Dict - from worlds.AutoWorld import WebWorld, World from .Items import YachtDiceItem, item_groups, item_table from .Locations import YachtDiceLocation, all_locations, ini_locations from .Options import ( - YachtDiceOptions, - yd_option_groups, + AddExtraPoints, + AddStoryChapters, GameDifficulty, MinimalNumberOfDiceAndRolls, - PointsSize, MinimizeExtraItems, - AddExtraPoints, - AddStoryChapters + PointsSize, + YachtDiceOptions, + yd_option_groups, ) from .Rules import dice_simulation_fill_pool, set_yacht_completion_rules, set_yacht_rules @@ -311,7 +310,11 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) while score_in_logic > 1000: removed_item = self.itempool.pop() score_in_logic = dice_simulation_fill_pool( - self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty, self.player + self.itempool + self.precollected, + self.frags_per_dice, + self.frags_per_roll, + self.difficulty, + self.player, ) self.itempool.append(removed_item) else: @@ -327,7 +330,11 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) score_in_logic += 100 else: score_in_logic = dice_simulation_fill_pool( - self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty, self.player + self.itempool + self.precollected, + self.frags_per_dice, + self.frags_per_roll, + self.difficulty, + self.player, ) # count the number of locations in the game. From 20184068336f1f7b086792df60c3357e5d5aea50 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 15 Jun 2024 01:03:51 +0200 Subject: [PATCH 102/127] added , because of style --- worlds/yachtdice/Items.py | 2 +- worlds/yachtdice/Options.py | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index d8395555bd1b..fa52c93ad6f2 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -114,5 +114,5 @@ class YachtDiceItem(Item): "10 Points", "1 Point", "Bonus Point" - } + }, } diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index d795af6513e6..b0f8d3ff9623 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -325,5 +325,5 @@ class YachtDiceOptions(PerGameCommonOptions): AddStoryChapters, WhichStory ], - ) + ), ] From 17ac22e18373c35f8028468c6208a41b9ec90c32 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 15 Jun 2024 15:14:15 +0200 Subject: [PATCH 103/127] Update apworld version to 2.0.6 2.0.5 is the apworld I released on github to be tested I never separately released 2.0.4. --- worlds/yachtdice/__init__.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 15516d010b1b..e7b601c2fb9d 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.0.4" + ap_world_version = "2.0.6" def _get_yachtdice_data(self): return { From 577fb744f6c8445b3f76bd33a7647a4811a7f015 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 6 Jul 2024 21:18:59 +0200 Subject: [PATCH 104/127] Multiple smaller code improvements - changed names in YachtWeights so we don't need to translate them in Rules anymore - we now remember which categories are present in the game, and also put this in slotdata. This we do because only one of two categories is present in a game. If for some reason both are present (plando/getitem/startinventory), we now know which category to ignore - --- worlds/yachtdice/Rules.py | 64 +- worlds/yachtdice/YachtWeights.py | 4546 +----------------------------- worlds/yachtdice/__init__.py | 15 +- 3 files changed, 24 insertions(+), 4601 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 9aed9335f7ac..418e5c374901 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -16,43 +16,6 @@ # We then pick a correct percentile to reflect the correct score that should be in logic. # The score is logic is *much* lower than the actual maximum reachable score. -# List of categories, and the name of the logic class associated with it -category_mappings = { - "Category Ones": "Ones", - "Category Twos": "Twos", - "Category Threes": "Threes", - "Category Fours": "Fours", - "Category Fives": "Fives", - "Category Sixes": "Sixes", - "Category Choice": "Choice", - "Category Inverse Choice": "Choice", - "Category Pair": "Pair", - "Category Three of a Kind": "ThreeOfAKind", - "Category Four of a Kind": "FourOfAKind", - "Category Tiny Straight": "TinyStraight", - "Category Small Straight": "SmallStraight", - "Category Large Straight": "LargeStraight", - "Category Full House": "FullHouse", - "Category Yacht": "Yacht", - "Category Distincts": "Distincts", - "Category Two times Ones": "Twos", # same weights as twos category - "Category Half of Sixes": "Threes", # same weights as threes category - "Category Twos and Threes": "TwosAndThrees", - "Category Sum of Odds": "SumOfOdds", - "Category Sum of Evens": "SumOfEvens", - "Category Double Threes and Fours": "DoubleThreesAndFours", - "Category Quadruple Ones and Twos": "QuadrupleOnesAndTwos", - "Category Micro Straight": "MicroStraight", - "Category Three Odds": "ThreeOdds", - "Category 1-2-1 Consecutive": "OneTwoOneConsecutive", - "Category Three Distinct Dice": "ThreeDistinctDice", - "Category Two Pair": "TwoPair", - "Category 2-1-2 Consecutive": "TwoOneTwoConsecutive", - "Category Five Distinct Dice": "FiveDistinctDice", - "Category 4&5 Full House": "FourAndFiveFullHouse", -} - - class Category: def __init__(self, name, quantity=1): self.name = name @@ -60,7 +23,7 @@ def __init__(self, name, quantity=1): # return mean score of a category def mean_score(self, num_dice, num_rolls): - if num_dice == 0 or num_rolls == 0: + if num_dice <= 0 or num_rolls <= 0: return 0 mean_score = 0 for key, value in yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)].items(): @@ -77,7 +40,7 @@ def count(self, item: str, player: Optional[str] = None) -> int: return self.item_counts[item] -def extract_progression(state, player, frags_per_dice, frags_per_roll): +def extract_progression(state, player, frags_per_dice, frags_per_roll, allowed_categories): """ method to obtain a list of what items the player has. this includes categories, dice, rolls and score multiplier etc. @@ -92,8 +55,8 @@ def extract_progression(state, player, frags_per_dice, frags_per_roll): number_of_step_mults = state.count("Step Score Multiplier", player) categories = [ - Category(category_value, state.count(category_name, player)) - for category_name, category_value in category_mappings.items() + Category(category_name, state.count(category_name, player)) + for category_name in allowed_categories if state.count(category_name, player) # want all categories that have count >= 1 ] @@ -133,10 +96,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu if player not in yachtdice_cache: yachtdice_cache[player] = {} - # if already computed, return the result if tup in yachtdice_cache[player]: - # index = list(yachtdice_cache[player].keys()).index(tup) # Get the index of tup in the keys list - # print(f"Using cache {player} {index} / {len(yachtdice_cache[player])}") return yachtdice_cache[player][tup] # sort categories because for the step multiplier, you will want low-scoring categories first @@ -193,7 +153,7 @@ def percentile_distribution(dist, percentile): # calculate total distribution total_dist = {0: 1} for j, category in enumerate(categories): - if num_dice == 0 or num_rolls == 0: + if num_dice <= 0 or num_rolls <= 0: dist = {0: 100000} else: dist = yacht_weights[category.name, min(8, num_dice), min(8, num_rolls)].copy() @@ -224,20 +184,20 @@ def percentile_distribution(dist, percentile): return yachtdice_cache[player][tup] -def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, difficulty, player): +def dice_simulation_fill_pool(state, frags_per_dice, frags_per_roll, allowed_categories, difficulty, player): """ Returns the feasible score that one can reach with the current state, options and difficulty. This function is called with state being a list, during filling of item pool. """ categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression( - state, "state_is_a_list", frags_per_dice, frags_per_roll + state, "state_is_a_list", frags_per_dice, frags_per_roll, allowed_categories ) return ( dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) + expoints ) -def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, difficulty): +def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, allowed_categories, difficulty): """ Returns the feasible score that one can reach with the current state, options and difficulty. This function is called with state being a AP state object, while doing access rules. @@ -246,7 +206,7 @@ def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, if state.prog_items[player]["state_is_fresh"] == 0: state.prog_items[player]["state_is_fresh"] = 1 categories, num_dice, num_rolls, fixed_mult, step_mult, expoints = extract_progression( - state, player, frags_per_dice, frags_per_roll + state, player, frags_per_dice, frags_per_roll, allowed_categories ) state.prog_items[player]["maximum_achievable_score"] = ( dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mult, difficulty, player) @@ -256,16 +216,16 @@ def dice_simulation_state_change(state, player, frags_per_dice, frags_per_roll, return state.prog_items[player]["maximum_achievable_score"] -def set_yacht_rules(world: MultiWorld, player: int, frags_per_dice, frags_per_roll, difficulty): +def set_yacht_rules(world: MultiWorld, player: int, frags_per_dice, frags_per_roll, allowed_categories, difficulty): """ - Sets rules on entrances and advancements that are always applied + Sets rules on reaching scores """ for location in world.get_locations(player): set_rule( location, lambda state, curscore=location.yacht_dice_score, player=player: dice_simulation_state_change( - state, player, frags_per_dice, frags_per_roll, difficulty + state, player, frags_per_dice, frags_per_roll, allowed_categories, difficulty ) >= curscore, ) diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 0c5d7d9dfb78..a54e82450535 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -2,4548 +2,8 @@ # Every entry consists of a key. This key has input category, number of dice, and number of rolls. # The value then shows a list of all possible scores to get, and how many times of 100000 it achieved. -# example: ("Choice", 2, 2): +# example: ("Category Choice", 2, 2): # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} -# this example shows the outcomes for the category "Choice", with 2 dice and 2 rolls. +# this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = { - ("Ones", 0, 0): {0: 100000}, - ("Ones", 0, 1): {0: 100000}, - ("Ones", 0, 2): {0: 100000}, - ("Ones", 0, 3): {0: 100000}, - ("Ones", 0, 4): {0: 100000}, - ("Ones", 0, 5): {0: 100000}, - ("Ones", 0, 6): {0: 100000}, - ("Ones", 0, 7): {0: 100000}, - ("Ones", 0, 8): {0: 100000}, - ("Ones", 1, 0): {0: 100000}, - ("Ones", 1, 1): {0: 83416, 1: 16584}, - ("Ones", 1, 2): {0: 69346, 1: 30654}, - ("Ones", 1, 3): {0: 57756, 1: 42244}, - ("Ones", 1, 4): {0: 48709, 1: 51291}, - ("Ones", 1, 5): {0: 40214, 1: 59786}, - ("Ones", 1, 6): {0: 33491, 1: 66509}, - ("Ones", 1, 7): {0: 27838, 1: 72162}, - ("Ones", 1, 8): {0: 23094, 1: 76906}, - ("Ones", 2, 0): {0: 100000}, - ("Ones", 2, 1): {0: 69715, 1: 30285}, - ("Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, - ("Ones", 2, 3): {0: 33544, 1: 48585, 2: 17871}, - ("Ones", 2, 4): {0: 23342, 1: 50092, 2: 26566}, - ("Ones", 2, 5): {0: 16036, 1: 48250, 2: 35714}, - ("Ones", 2, 6): {0: 11355, 1: 44545, 2: 44100}, - ("Ones", 2, 7): {0: 7812, 1: 40248, 2: 51940}, - ("Ones", 2, 8): {0: 5395, 1: 35484, 2: 59121}, - ("Ones", 3, 0): {0: 100000}, - ("Ones", 3, 1): {0: 57462, 1: 35151, 2: 7387}, - ("Ones", 3, 2): {0: 33327, 1: 44253, 2: 22420}, - ("Ones", 3, 3): {0: 19432, 1: 42237, 2: 30821, 3: 7510}, - ("Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, - ("Ones", 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, - ("Ones", 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, - ("Ones", 3, 7): {0: 2134, 1: 16717, 2: 43782, 3: 37367}, - ("Ones", 3, 8): {0: 1280, 1: 12567, 2: 40951, 3: 45202}, - ("Ones", 4, 0): {0: 100000}, - ("Ones", 4, 1): {0: 48178, 1: 38635, 2: 13187}, - ("Ones", 4, 2): {0: 23349, 1: 40775, 2: 26967, 3: 8909}, - ("Ones", 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, - ("Ones", 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 26943, 4: 7214}, - ("Ones", 4, 5): {0: 2640, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, - ("Ones", 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, - ("Ones", 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, - ("Ones", 4, 8): {0: 4228, 2: 19045, 3: 42267, 4: 34460}, - ("Ones", 5, 0): {0: 100000}, - ("Ones", 5, 1): {0: 40042, 1: 40202, 2: 19756}, - ("Ones", 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, - ("Ones", 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 24952, 4: 10435}, - ("Ones", 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, - ("Ones", 5, 5): {0: 1079, 1: 7704, 2: 23245, 3: 34614, 4: 25625, 5: 7733}, - ("Ones", 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, - ("Ones", 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, - ("Ones", 5, 8): {0: 1167, 2: 7382, 3: 24639, 4: 40166, 5: 26646}, - ("Ones", 6, 0): {0: 100000}, - ("Ones", 6, 1): {0: 33501, 1: 40042, 2: 26457}, - ("Ones", 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 19350, 4: 7577}, - ("Ones", 6, 3): {0: 3764, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, - ("Ones", 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, - ("Ones", 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, - ("Ones", 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, - ("Ones", 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, - ("Ones", 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, - ("Ones", 7, 0): {0: 100000}, - ("Ones", 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, - ("Ones", 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, - ("Ones", 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, - ("Ones", 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 17986, 6: 7490}, - ("Ones", 7, 5): {0: 1947, 2: 7907, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, - ("Ones", 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, - ("Ones", 7, 7): {0: 2032, 3: 7943, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, - ("Ones", 7, 8): {0: 5519, 4: 15425, 5: 30293, 6: 33357, 7: 15406}, - ("Ones", 8, 0): {0: 100000}, - ("Ones", 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, - ("Ones", 8, 2): {0: 5472, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, - ("Ones", 8, 3): {0: 1209, 1: 7452, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, - ("Ones", 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, - ("Ones", 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, - ("Ones", 8, 6): {0: 1971, 3: 6901, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, - ("Ones", 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 22673, 8: 7330}, - ("Ones", 8, 8): {0: 2078, 4: 7029, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, - ("Twos", 0, 0): {0: 100000}, - ("Twos", 0, 1): {0: 100000}, - ("Twos", 0, 2): {0: 100000}, - ("Twos", 0, 3): {0: 100000}, - ("Twos", 0, 4): {0: 100000}, - ("Twos", 0, 5): {0: 100000}, - ("Twos", 0, 6): {0: 100000}, - ("Twos", 0, 7): {0: 100000}, - ("Twos", 0, 8): {0: 100000}, - ("Twos", 1, 0): {0: 100000}, - ("Twos", 1, 1): {0: 83475, 2: 16525}, - ("Twos", 1, 2): {0: 69690, 2: 30310}, - ("Twos", 1, 3): {0: 57818, 2: 42182}, - ("Twos", 1, 4): {0: 48418, 2: 51582}, - ("Twos", 1, 5): {0: 40301, 2: 59699}, - ("Twos", 1, 6): {0: 33558, 2: 66442}, - ("Twos", 1, 7): {0: 28182, 2: 71818}, - ("Twos", 1, 8): {0: 23406, 2: 76594}, - ("Twos", 2, 0): {0: 100000}, - ("Twos", 2, 1): {0: 69724, 2: 30276}, - ("Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, - ("Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, - ("Twos", 2, 4): {0: 23136, 2: 49957, 4: 26907}, - ("Twos", 2, 5): {0: 16146, 2: 48200, 4: 35654}, - ("Twos", 2, 6): {0: 11083, 2: 44497, 4: 44420}, - ("Twos", 2, 7): {0: 7662, 2: 40343, 4: 51995}, - ("Twos", 2, 8): {0: 5354, 2: 35526, 4: 59120}, - ("Twos", 3, 0): {0: 100000}, - ("Twos", 3, 1): {0: 58021, 2: 34522, 4: 7457}, - ("Twos", 3, 2): {0: 33548, 2: 44261, 4: 22191}, - ("Twos", 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, - ("Twos", 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, - ("Twos", 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, - ("Twos", 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, - ("Twos", 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, - ("Twos", 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, - ("Twos", 4, 0): {0: 100000}, - ("Twos", 4, 1): {0: 48235, 2: 38602, 4: 13163}, - ("Twos", 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, - ("Twos", 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, - ("Twos", 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, - ("Twos", 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, - ("Twos", 4, 6): {0: 1259, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, - ("Twos", 4, 7): {0: 622, 2: 6323, 4: 24103, 6: 41894, 8: 27058}, - ("Twos", 4, 8): {0: 278, 2: 3813, 4: 18855, 6: 42309, 8: 34745}, - ("Twos", 5, 0): {0: 100000}, - ("Twos", 5, 1): {0: 40028, 2: 40241, 4: 16003, 6: 3728}, - ("Twos", 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 13797, 8: 3269}, - ("Twos", 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, - ("Twos", 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 17149, 10: 3748}, - ("Twos", 5, 5): {0: 1032, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, - ("Twos", 5, 6): {0: 450, 2: 4152, 4: 16541, 6: 32774, 8: 32900, 10: 13183}, - ("Twos", 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, - ("Twos", 5, 8): {0: 1171, 4: 7571, 6: 23993, 8: 40798, 10: 26467}, - ("Twos", 6, 0): {0: 100000}, - ("Twos", 6, 1): {0: 33502, 2: 40413, 4: 19717, 6: 6368}, - ("Twos", 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, - ("Twos", 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 15825, 10: 5146}, - ("Twos", 6, 4): {0: 1243, 2: 8048, 4: 21977, 6: 31053, 8: 25066, 10: 12613}, - ("Twos", 6, 5): {0: 441, 2: 3753, 4: 13949, 6: 28142, 8: 30723, 10: 18355, 12: 4637}, - ("Twos", 6, 6): {0: 1800, 4: 8455, 6: 22222, 8: 32692, 10: 26213, 12: 8618}, - ("Twos", 6, 7): {0: 775, 4: 4871, 6: 16142, 8: 31410, 10: 32532, 12: 14270}, - ("Twos", 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612}, - ("Twos", 7, 0): {0: 100000}, - ("Twos", 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683}, - ("Twos", 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286}, - ("Twos", 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787}, - ("Twos", 7, 4): {0: 564, 2: 4465, 4: 14571, 6: 26395, 8: 28409, 10: 18080, 12: 7516}, - ("Twos", 7, 5): {0: 1913, 4: 7911, 6: 19287, 8: 29039, 10: 26129, 12: 15721}, - ("Twos", 7, 6): {0: 702, 4: 3961, 6: 12897, 8: 25752, 10: 30413, 12: 20324, 14: 5951}, - ("Twos", 7, 7): {0: 2179, 6: 8007, 8: 20334, 10: 32054, 12: 27347, 14: 10079}, - ("Twos", 7, 8): {0: 942, 6: 4602, 8: 15233, 10: 30248, 12: 33276, 14: 15699}, - ("Twos", 8, 0): {0: 100000}, - ("Twos", 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383}, - ("Twos", 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 14198, 10: 6325}, - ("Twos", 8, 3): {0: 1271, 2: 7289, 4: 18793, 6: 27054, 8: 24712, 10: 14462, 12: 6419}, - ("Twos", 8, 4): {0: 2889, 4: 9310, 6: 20242, 8: 27389, 10: 23232, 12: 12609, 14: 4329}, - ("Twos", 8, 5): {0: 879, 4: 4184, 6: 12669, 8: 23322, 10: 27882, 12: 20768, 14: 10296}, - ("Twos", 8, 6): {0: 2041, 6: 6992, 8: 17148, 10: 27398, 12: 27048, 14: 15513, 16: 3860}, - ("Twos", 8, 7): {0: 741, 6: 3547, 8: 11479, 10: 23675, 12: 30829, 14: 22454, 16: 7275}, - ("Twos", 8, 8): {2: 2053, 8: 6980, 10: 18697, 12: 31310, 14: 28983, 16: 11977}, - ("Threes", 0, 0): {0: 100000}, - ("Threes", 0, 1): {0: 100000}, - ("Threes", 0, 2): {0: 100000}, - ("Threes", 0, 3): {0: 100000}, - ("Threes", 0, 4): {0: 100000}, - ("Threes", 0, 5): {0: 100000}, - ("Threes", 0, 6): {0: 100000}, - ("Threes", 0, 7): {0: 100000}, - ("Threes", 0, 8): {0: 100000}, - ("Threes", 1, 0): {0: 100000}, - ("Threes", 1, 1): {0: 83343, 3: 16657}, - ("Threes", 1, 2): {0: 69569, 3: 30431}, - ("Threes", 1, 3): {0: 57872, 3: 42128}, - ("Threes", 1, 4): {0: 48081, 3: 51919}, - ("Threes", 1, 5): {0: 40271, 3: 59729}, - ("Threes", 1, 6): {0: 33201, 3: 66799}, - ("Threes", 1, 7): {0: 27903, 3: 72097}, - ("Threes", 1, 8): {0: 23240, 3: 76760}, - ("Threes", 2, 0): {0: 100000}, - ("Threes", 2, 1): {0: 69419, 3: 27798, 6: 2783}, - ("Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, - ("Threes", 2, 3): {0: 33376, 3: 48849, 6: 17775}, - ("Threes", 2, 4): {0: 23276, 3: 49810, 6: 26914}, - ("Threes", 2, 5): {0: 16092, 3: 47718, 6: 36190}, - ("Threes", 2, 6): {0: 11232, 3: 44515, 6: 44253}, - ("Threes", 2, 7): {0: 7589, 3: 40459, 6: 51952}, - ("Threes", 2, 8): {0: 5447, 3: 35804, 6: 58749}, - ("Threes", 3, 0): {0: 100000}, - ("Threes", 3, 1): {0: 57964, 3: 34701, 6: 7335}, - ("Threes", 3, 2): {0: 33637, 3: 44263, 6: 19213, 9: 2887}, - ("Threes", 3, 3): {0: 19520, 3: 42382, 6: 30676, 9: 7422}, - ("Threes", 3, 4): {0: 11265, 3: 35772, 6: 39042, 9: 13921}, - ("Threes", 3, 5): {0: 6419, 3: 28916, 6: 43261, 9: 21404}, - ("Threes", 3, 6): {0: 3810, 3: 22496, 6: 44388, 9: 29306}, - ("Threes", 3, 7): {0: 2174, 3: 16875, 6: 43720, 9: 37231}, - ("Threes", 3, 8): {0: 1237, 3: 12471, 6: 41222, 9: 45070}, - ("Threes", 4, 0): {0: 100000}, - ("Threes", 4, 1): {0: 48121, 3: 38786, 6: 13093}, - ("Threes", 4, 2): {0: 23296, 3: 40989, 6: 26998, 9: 8717}, - ("Threes", 4, 3): {0: 11233, 3: 32653, 6: 35710, 9: 17221, 12: 3183}, - ("Threes", 4, 4): {0: 5463, 3: 23270, 6: 37468, 9: 26734, 12: 7065}, - ("Threes", 4, 5): {0: 2691, 3: 15496, 6: 34539, 9: 34635, 12: 12639}, - ("Threes", 4, 6): {0: 1221, 3: 10046, 6: 29811, 9: 39190, 12: 19732}, - ("Threes", 4, 7): {0: 599, 3: 6322, 6: 24420, 9: 41614, 12: 27045}, - ("Threes", 4, 8): {0: 309, 3: 3876, 6: 18843, 9: 42236, 12: 34736}, - ("Threes", 5, 0): {0: 100000}, - ("Threes", 5, 1): {0: 40183, 3: 40377, 6: 16039, 9: 3401}, - ("Threes", 5, 2): {0: 16197, 3: 35494, 6: 30937, 9: 13946, 12: 3426}, - ("Threes", 5, 3): {0: 6583, 3: 23394, 6: 34432, 9: 25239, 12: 10352}, - ("Threes", 5, 4): {0: 2636, 3: 14072, 6: 30134, 9: 32371, 12: 17169, 15: 3618}, - ("Threes", 5, 5): {0: 1075, 3: 7804, 6: 23010, 9: 34811, 12: 25702, 15: 7598}, - ("Threes", 5, 6): {0: 418, 3: 4234, 6: 16654, 9: 32809, 12: 32892, 15: 12993}, - ("Threes", 5, 7): {0: 162, 3: 2203, 6: 11416, 9: 29072, 12: 37604, 15: 19543}, - ("Threes", 5, 8): {0: 1246, 6: 7425, 9: 24603, 12: 40262, 15: 26464}, - ("Threes", 6, 0): {0: 100000}, - ("Threes", 6, 1): {0: 33473, 3: 40175, 6: 20151, 9: 6201}, - ("Threes", 6, 2): {0: 11147, 3: 29592, 6: 32630, 9: 19287, 12: 7344}, - ("Threes", 6, 3): {0: 3628, 3: 16528, 6: 29814, 9: 29006, 12: 15888, 15: 5136}, - ("Threes", 6, 4): {0: 1262, 3: 8236, 6: 21987, 9: 30953, 12: 24833, 15: 12729}, - ("Threes", 6, 5): {0: 416, 3: 3820, 6: 13949, 9: 27798, 12: 31197, 15: 18256, 18: 4564}, - ("Threes", 6, 6): {0: 1796, 6: 8372, 9: 22175, 12: 32897, 15: 26264, 18: 8496}, - ("Threes", 6, 7): {0: 791, 6: 4728, 9: 16346, 12: 31385, 15: 32666, 18: 14084}, - ("Threes", 6, 8): {0: 317, 6: 2651, 9: 11202, 12: 28320, 15: 36982, 18: 20528}, - ("Threes", 7, 0): {0: 100000}, - ("Threes", 7, 1): {0: 27933, 3: 39105, 6: 23338, 9: 9624}, - ("Threes", 7, 2): {0: 7794, 3: 23896, 6: 31832, 9: 23110, 12: 10218, 15: 3150}, - ("Threes", 7, 3): {0: 2138, 3: 11098, 6: 24140, 9: 29316, 12: 21386, 15: 9413, 18: 2509}, - ("Threes", 7, 4): {0: 590, 3: 4648, 6: 14737, 9: 26233, 12: 28244, 15: 18118, 18: 7430}, - ("Threes", 7, 5): {0: 1941, 6: 7953, 9: 19439, 12: 28977, 15: 26078, 18: 12957, 21: 2655}, - ("Threes", 7, 6): {0: 718, 6: 3938, 9: 13025, 12: 25793, 15: 30535, 18: 20208, 21: 5783}, - ("Threes", 7, 7): {0: 2064, 9: 7941, 12: 20571, 15: 31859, 18: 27374, 21: 10191}, - ("Threes", 7, 8): {0: 963, 9: 4747, 12: 15117, 15: 30313, 18: 33133, 21: 15727}, - ("Threes", 8, 0): {0: 100000}, - ("Threes", 8, 1): {0: 23337, 3: 37232, 6: 25968, 9: 10377, 12: 3086}, - ("Threes", 8, 2): {0: 5310, 3: 18930, 6: 29232, 9: 26016, 12: 14399, 15: 6113}, - ("Threes", 8, 3): {0: 1328, 3: 7328, 6: 18754, 9: 27141, 12: 24703, 15: 14251, 18: 6495}, - ("Threes", 8, 4): {0: 291, 3: 2428, 6: 9554, 9: 20607, 12: 26898, 15: 23402, 18: 12452, 21: 4368}, - ("Threes", 8, 5): {0: 905, 6: 4240, 9: 12608, 12: 23248, 15: 27931, 18: 20616, 21: 10452}, - ("Threes", 8, 6): {0: 1914, 9: 6890, 12: 17302, 15: 27235, 18: 27276, 21: 15571, 24: 3812}, - ("Threes", 8, 7): {0: 800, 9: 3547, 12: 11580, 15: 23682, 18: 30401, 21: 22546, 24: 7444}, - ("Threes", 8, 8): {0: 2041, 12: 7211, 15: 18980, 18: 30657, 21: 29074, 24: 12037}, - ("Fours", 0, 0): {0: 100000}, - ("Fours", 0, 1): {0: 100000}, - ("Fours", 0, 2): {0: 100000}, - ("Fours", 0, 3): {0: 100000}, - ("Fours", 0, 4): {0: 100000}, - ("Fours", 0, 5): {0: 100000}, - ("Fours", 0, 6): {0: 100000}, - ("Fours", 0, 7): {0: 100000}, - ("Fours", 0, 8): {0: 100000}, - ("Fours", 1, 0): {0: 100000}, - ("Fours", 1, 1): {0: 83260, 4: 16740}, - ("Fours", 1, 2): {0: 69514, 4: 30486}, - ("Fours", 1, 3): {0: 58017, 4: 41983}, - ("Fours", 1, 4): {0: 48389, 4: 51611}, - ("Fours", 1, 5): {0: 40201, 4: 59799}, - ("Fours", 1, 6): {0: 33496, 4: 66504}, - ("Fours", 1, 7): {0: 28052, 4: 71948}, - ("Fours", 1, 8): {0: 23431, 4: 76569}, - ("Fours", 2, 0): {0: 100000}, - ("Fours", 2, 1): {0: 69379, 4: 27817, 8: 2804}, - ("Fours", 2, 2): {0: 48538, 4: 42240, 8: 9222}, - ("Fours", 2, 3): {0: 33756, 4: 48555, 8: 17689}, - ("Fours", 2, 4): {0: 23070, 4: 49916, 8: 27014}, - ("Fours", 2, 5): {0: 16222, 4: 48009, 8: 35769}, - ("Fours", 2, 6): {0: 11125, 4: 44400, 8: 44475}, - ("Fours", 2, 7): {0: 7919, 4: 40216, 8: 51865}, - ("Fours", 2, 8): {0: 5348, 4: 35757, 8: 58895}, - ("Fours", 3, 0): {0: 100000}, - ("Fours", 3, 1): {0: 57914, 4: 34622, 8: 7464}, - ("Fours", 3, 2): {0: 33621, 4: 44110, 8: 19466, 12: 2803}, - ("Fours", 3, 3): {0: 19153, 4: 42425, 8: 30898, 12: 7524}, - ("Fours", 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930, 25: 99070}, - ("FullHouse", 8, 4): {0: 165, 25: 99835}, - ("FullHouse", 8, 5): {0: 19, 25: 99981}, - ("FullHouse", 8, 6): {0: 6, 25: 99994}, - ("FullHouse", 8, 7): {25: 100000}, - ("FullHouse", 8, 8): {25: 100000}, - ("Yacht", 0, 0): {0: 100000}, - ("Yacht", 0, 1): {0: 100000}, - ("Yacht", 0, 2): {0: 100000}, - ("Yacht", 0, 3): {0: 100000}, - ("Yacht", 0, 4): {0: 100000}, - ("Yacht", 0, 5): {0: 100000}, - ("Yacht", 0, 6): {0: 100000}, - ("Yacht", 0, 7): {0: 100000}, - ("Yacht", 0, 8): {0: 100000}, - ("Yacht", 1, 0): {0: 100000}, - ("Yacht", 1, 1): {0: 100000}, - ("Yacht", 1, 2): {0: 100000}, - ("Yacht", 1, 3): {0: 100000}, - ("Yacht", 1, 4): {0: 100000}, - ("Yacht", 1, 5): {0: 100000}, - ("Yacht", 1, 6): {0: 100000}, - ("Yacht", 1, 7): {0: 100000}, - ("Yacht", 1, 8): {0: 100000}, - ("Yacht", 2, 0): {0: 100000}, - ("Yacht", 2, 1): {0: 100000}, - ("Yacht", 2, 2): {0: 100000}, - ("Yacht", 2, 3): {0: 100000}, - ("Yacht", 2, 4): {0: 100000}, - ("Yacht", 2, 5): {0: 100000}, - ("Yacht", 2, 6): {0: 100000}, - ("Yacht", 2, 7): {0: 100000}, - ("Yacht", 2, 8): {0: 100000}, - ("Yacht", 3, 0): {0: 100000}, - ("Yacht", 3, 1): {0: 100000}, - ("Yacht", 3, 2): {0: 100000}, - ("Yacht", 3, 3): {0: 100000}, - ("Yacht", 3, 4): {0: 100000}, - ("Yacht", 3, 5): {0: 100000}, - ("Yacht", 3, 6): {0: 100000}, - ("Yacht", 3, 7): {0: 100000}, - ("Yacht", 3, 8): {0: 100000}, - ("Yacht", 4, 0): {0: 100000}, - ("Yacht", 4, 1): {0: 100000}, - ("Yacht", 4, 2): {0: 100000}, - ("Yacht", 4, 3): {0: 100000}, - ("Yacht", 4, 4): {0: 100000}, - ("Yacht", 4, 5): {0: 100000}, - ("Yacht", 4, 6): {0: 100000}, - ("Yacht", 4, 7): {0: 100000}, - ("Yacht", 4, 8): {0: 100000}, - ("Yacht", 5, 0): {0: 100000}, - ("Yacht", 5, 1): {0: 100000}, - ("Yacht", 5, 2): {0: 98727, 50: 1273}, - ("Yacht", 5, 3): {0: 95347, 50: 4653}, - ("Yacht", 5, 4): {0: 89969, 50: 10031}, - ("Yacht", 5, 5): {0: 83124, 50: 16876}, - ("Yacht", 5, 6): {0: 75023, 50: 24977}, - ("Yacht", 5, 7): {0: 67007, 50: 32993}, - ("Yacht", 5, 8): {0: 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("Yacht", 8, 6): {0: 9079, 50: 90921}, - ("Yacht", 8, 7): {0: 4705, 50: 95295}, - ("Yacht", 8, 8): {0: 2363, 50: 97637}, - ("Distincts", 1, 1): {1: 100000}, - ("Distincts", 1, 2): {1: 100000}, - ("Distincts", 1, 3): {1: 100000}, - ("Distincts", 1, 4): {1: 100000}, - ("Distincts", 1, 5): {1: 100000}, - ("Distincts", 1, 6): {1: 100000}, - ("Distincts", 1, 7): {1: 100000}, - ("Distincts", 1, 8): {1: 100000}, - ("Distincts", 2, 1): {1: 16804, 2: 83196}, - ("Distincts", 2, 2): {1: 2686, 2: 97314}, - ("Distincts", 2, 3): {1: 463, 2: 99537}, - ("Distincts", 2, 4): {1: 66, 2: 99934}, - ("Distincts", 2, 5): {1: 11, 2: 99989}, - ("Distincts", 2, 6): {1: 1, 2: 99999}, - ("Distincts", 2, 7): {2: 100000}, - ("Distincts", 2, 8): {2: 100000}, - ("Distincts", 3, 1): {1: 2760, 2: 41714, 3: 55526}, - ("Distincts", 3, 2): {1: 78, 2: 14936, 3: 84986}, - ("Distincts", 3, 3): {1: 4866, 3: 95134}, - ("Distincts", 3, 4): {2: 1659, 3: 98341}, - ("Distincts", 3, 5): {2: 575, 3: 99425}, - ("Distincts", 3, 6): {2: 200, 3: 99800}, - ("Distincts", 3, 7): {2: 69, 3: 99931}, - ("Distincts", 3, 8): {2: 22, 3: 99978}, - ("Distincts", 4, 1): {1: 494, 2: 16140, 3: 55471, 4: 27895}, - ("Distincts", 4, 2): {1: 1893, 3: 36922, 4: 61185}, - ("Distincts", 4, 3): {2: 230, 3: 19631, 4: 80139}, - ("Distincts", 4, 4): {2: 21, 3: 9858, 4: 90121}, - ("Distincts", 4, 5): {2: 4906, 4: 95094}, - ("Distincts", 4, 6): {3: 2494, 4: 97506}, - ("Distincts", 4, 7): {3: 1297, 4: 98703}, - ("Distincts", 4, 8): {3: 611, 4: 99389}, - ("Distincts", 5, 1): {1: 5798, 3: 38538, 4: 46379, 5: 9285}, - ("Distincts", 5, 2): {2: 196, 3: 11647, 4: 56472, 5: 31685}, - ("Distincts", 5, 3): {2: 3022, 4: 44724, 5: 52254}, - ("Distincts", 5, 4): {3: 722, 4: 31632, 5: 67646}, - ("Distincts", 5, 5): {3: 215, 4: 21391, 5: 78394}, - ("Distincts", 5, 6): {3: 55, 4: 14470, 5: 85475}, - ("Distincts", 5, 7): {3: 15, 4: 9645, 5: 90340}, - ("Distincts", 5, 8): {3: 6463, 5: 93537}, - ("Distincts", 6, 1): {1: 2027, 3: 22985, 4: 50464, 5: 24524}, - ("Distincts", 6, 2): {2: 3299, 4: 35174, 5: 52573, 6: 8954}, - ("Distincts", 6, 3): {3: 417, 4: 17376, 5: 62578, 6: 19629}, - ("Distincts", 6, 4): {3: 44, 4: 7787, 5: 61029, 6: 31140}, - ("Distincts", 6, 5): {3: 3699, 5: 54997, 6: 41304}, - ("Distincts", 6, 6): {4: 1557, 5: 47225, 6: 51218}, - ("Distincts", 6, 7): {4: 728, 5: 40465, 6: 58807}, - ("Distincts", 6, 8): {4: 321, 5: 33851, 6: 65828}, - ("Distincts", 7, 1): {1: 665, 3: 13006, 4: 44964, 5: 41365}, - ("Distincts", 7, 2): {2: 839, 4: 18847, 5: 56731, 6: 23583}, - ("Distincts", 7, 3): {3: 6051, 5: 50312, 6: 43637}, - ("Distincts", 7, 4): {3: 1796, 5: 38393, 6: 59811}, - ("Distincts", 7, 5): {4: 529, 5: 27728, 6: 71743}, - ("Distincts", 7, 6): {4: 164, 5: 19417, 6: 80419}, - ("Distincts", 7, 7): {4: 53, 5: 13565, 6: 86382}, - ("Distincts", 7, 8): {4: 14, 5: 9531, 6: 90455}, - ("Distincts", 8, 1): {1: 198, 3: 6939, 4: 36582, 5: 44977, 6: 11304}, - ("Distincts", 8, 2): {2: 233, 4: 9181, 5: 50783, 6: 39803}, - ("Distincts", 8, 3): {3: 1976, 5: 34748, 6: 63276}, - ("Distincts", 8, 4): {4: 389, 5: 21008, 6: 78603}, - ("Distincts", 8, 5): {4: 78, 5: 12514, 6: 87408}, - ("Distincts", 8, 6): {4: 18, 5: 7159, 6: 92823}, - ("Distincts", 8, 7): {4: 4179, 6: 95821}, - ("Distincts", 8, 8): {5: 2440, 6: 97560}, - ("TwosAndThrees", 1, 1): {0: 66466, 2: 16929, 3: 16605}, - ("TwosAndThrees", 1, 2): {0: 55640, 2: 13812, 3: 30548}, - ("TwosAndThrees", 1, 3): {0: 46223, 2: 11599, 3: 42178}, - ("TwosAndThrees", 1, 4): {0: 38552, 2: 9618, 3: 51830}, - ("TwosAndThrees", 1, 5): {0: 32320, 2: 7974, 3: 59706}, - ("TwosAndThrees", 1, 6): {0: 26733, 2: 6684, 3: 66583}, - ("TwosAndThrees", 1, 7): {0: 22289, 2: 5563, 3: 72148}, - ("TwosAndThrees", 1, 8): {0: 18676, 2: 4688, 3: 76636}, - ("TwosAndThrees", 2, 1): {0: 44565, 2: 21965, 3: 25172, 5: 8298}, - ("TwosAndThrees", 2, 2): {0: 30855, 2: 15480, 3: 35949, 5: 8278, 6: 9438}, - ("TwosAndThrees", 2, 3): {0: 21509, 2: 10838, 3: 40340, 5: 9727, 6: 17586}, - ("TwosAndThrees", 2, 4): {0: 14935, 2: 7489, 3: 41092, 5: 9825, 6: 26659}, - ("TwosAndThrees", 2, 5): {0: 10492, 2: 5169, 3: 39087, 5: 9671, 6: 35581}, - ("TwosAndThrees", 2, 6): {0: 7185, 2: 3590, 3: 35936, 5: 8994, 6: 44295}, - ("TwosAndThrees", 2, 7): {0: 7375, 3: 32469, 5: 8139, 6: 52017}, - ("TwosAndThrees", 2, 8): {0: 5212, 3: 28436, 5: 7294, 6: 59058}, - ("TwosAndThrees", 3, 1): {0: 29892, 2: 22136, 3: 27781, 5: 11005, 6: 9186}, - ("TwosAndThrees", 3, 2): {0: 17285, 2: 12757, 3: 31500, 5: 14092, 6: 17552, 8: 6814}, - ("TwosAndThrees", 3, 3): {0: 9889, 2: 7547, 3: 28958, 5: 13522, 6: 24863, 7: 7881, 9: 7340}, - ("TwosAndThrees", 3, 4): {0: 5717, 2: 4245, 3: 24072, 5: 11617, 6: 32865, 8: 7719, 9: 13765}, - ("TwosAndThrees", 3, 5): {0: 5795, 3: 19123, 5: 9296, 6: 35708, 8: 8683, 9: 21395}, - ("TwosAndThrees", 3, 6): {0: 3273, 3: 14740, 5: 7148, 6: 36387, 8: 8820, 9: 29632}, - ("TwosAndThrees", 3, 7): {0: 1917, 3: 16239, 6: 35604, 8: 8739, 9: 37501}, - ("TwosAndThrees", 3, 8): {0: 1124, 3: 12222, 6: 33537, 8: 8018, 9: 45099}, - ("TwosAndThrees", 4, 1): {0: 19619, 2: 19764, 3: 19811, 4: 7306, 5: 14893, 6: 8721, 7: 9886}, - ("TwosAndThrees", 4, 2): {0: 9395, 2: 9519, 3: 24407, 5: 15873, 6: 21959, 8: 8667, 9: 10180}, - ("TwosAndThrees", 4, 3): {0: 4538, 2: 4676, 3: 18292, 5: 12541, 6: 26350, 8: 11445, 9: 15471, 11: 6687}, - ("TwosAndThrees", 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 21496, 10: 6859, 12: 7183}, - ("TwosAndThrees", 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 29121, 11: 6926, 12: 12776}, - ("TwosAndThrees", 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 32849, 11: 7894, 12: 19495}, - ("TwosAndThrees", 4, 7): {0: 224, 2: 6086, 6: 16140, 8: 7881, 9: 34297, 11: 8601, 12: 26771}, - ("TwosAndThrees", 4, 8): {0: 123, 2: 3571, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, - ("TwosAndThrees", 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, - ("TwosAndThrees", 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, - ("TwosAndThrees", 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, - ("TwosAndThrees", 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 15422, 14: 7246}, - ("TwosAndThrees", 5, 5): {0: 781, 3: 6624, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 20783, 13: 6512, 15: 7632}, - ("TwosAndThrees", 5, 6): {0: 123, 2: 3622, 6: 9065, 8: 6610, 9: 22902, 11: 10593, 12: 27521, 14: 6551, 15: 13013}, - ("TwosAndThrees", 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 31332, 14: 7512, 15: 19396}, - ("TwosAndThrees", 5, 8): {0: 986, 6: 6740, 9: 16186, 11: 7771, 12: 33474, 14: 7963, 15: 26880}, - ("TwosAndThrees", 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 13500, 10: 7359}, - ("TwosAndThrees", 6, 2): {0: 2944, 2: 4382, 3: 12512, 5: 11978, 6: 20178, 8: 13344, 9: 16448, 11: 7676, 12: 10538}, - ("TwosAndThrees", 6, 3): {0: 977, 2: 7869, 5: 6758, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, - ("TwosAndThrees", 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, - ("TwosAndThrees", 6, 5): { - 0: 1610, - 5: 7206, - 7: 6521, - 9: 16495, - 11: 10563, - 12: 23042, - 14: 10049, - 15: 16281, - 17: 8233, - }, - ("TwosAndThrees", 6, 6): { - 0: 1362, - 6: 7145, - 9: 12670, - 11: 8492, - 12: 23467, - 14: 10649, - 15: 21066, - 16: 6581, - 18: 8568, - }, - ("TwosAndThrees", 6, 7): {0: 14, 2: 4631, 9: 8281, 10: 6929, 12: 21906, 14: 10107, 15: 27360, 17: 6654, 18: 14118}, - ("TwosAndThrees", 6, 8): {0: 2367, 9: 10679, 12: 18916, 14: 8991, 15: 31012, 17: 7602, 18: 20433}, - ("TwosAndThrees", 7, 1): { - 0: 5802, - 2: 10380, - 3: 10100, - 4: 7689, - 5: 15384, - 6: 11027, - 7: 9559, - 8: 10304, - 9: 11306, - 11: 8449, - }, - ("TwosAndThrees", 7, 2): {0: 4415, 3: 8457, 5: 9442, 6: 17093, 8: 13172, 9: 18066, 11: 9919, 12: 10454, 14: 8982}, - ("TwosAndThrees", 7, 3): { - 0: 1263, - 3: 7779, - 6: 10929, - 8: 10013, - 9: 18045, - 11: 12133, - 12: 16767, - 14: 8279, - 15: 6674, - 16: 8118, - }, - ("TwosAndThrees", 7, 4): { - 0: 1713, - 5: 6723, - 7: 7190, - 9: 14001, - 11: 11007, - 12: 19307, - 14: 10700, - 15: 12396, - 16: 8577, - 18: 8386, - }, - ("TwosAndThrees", 7, 5): {0: 621, 5: 6879, 9: 9808, 11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, - ("TwosAndThrees", 7, 6): {0: 9, 2: 3545, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, - ("TwosAndThrees", 7, 7): { - 0: 1582, - 9: 6971, - 12: 11911, - 14: 7969, - 15: 22333, - 17: 10123, - 18: 22122, - 19: 6876, - 21: 10113, - }, - ("TwosAndThrees", 7, 8): {0: 31, 5: 4682, 12: 7854, 13: 6592, 15: 20934, 17: 9621, 18: 27839, 20: 6667, 21: 15780}, - ("TwosAndThrees", 8, 1): { - 0: 3799, - 2: 7917, - 3: 7840, - 4: 6794, - 5: 13610, - 6: 10144, - 7: 10309, - 8: 11477, - 9: 7504, - 10: 11990, - 12: 8616, - }, - ("TwosAndThrees", 8, 2): { - 0: 902, - 2: 7460, - 5: 6900, - 6: 13750, - 8: 11961, - 9: 10605, - 10: 7327, - 11: 11041, - 12: 8197, - 13: 11532, - 15: 10325, - }, - ("TwosAndThrees", 8, 3): { - 0: 201, - 2: 5037, - 6: 7036, - 8: 7389, - 9: 14414, - 11: 11338, - 12: 17189, - 14: 10523, - 15: 8898, - 16: 9521, - 18: 8454, - }, - ("TwosAndThrees", 8, 4): { - 0: 1617, - 6: 6867, - 9: 9271, - 11: 8286, - 12: 16078, - 14: 11359, - 15: 17352, - 17: 9133, - 18: 10960, - 20: 9077, - }, - ("TwosAndThrees", 8, 5): { - 0: 16, - 2: 3585, - 9: 10269, - 12: 12458, - 14: 9578, - 15: 18439, - 17: 10743, - 18: 16800, - 20: 6621, - 21: 11491, - }, - ("TwosAndThrees", 8, 6): { - 0: 170, - 6: 6891, - 12: 8548, - 14: 7037, - 15: 16817, - 17: 10618, - 18: 20331, - 20: 8749, - 21: 13840, - 23: 6999, - }, - ("TwosAndThrees", 8, 7): {0: 1, 2: 3335, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 24071, 24: 7305}, - ("TwosAndThrees", 8, 8): { - 3: 795, - 11: 6938, - 15: 10708, - 17: 7289, - 18: 21517, - 20: 10020, - 21: 23586, - 22: 7035, - 24: 12112, - }, - ("SumOfOdds", 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, - 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100000}, ('Category Choice', 5, 1): {5: 1575, 10: 8293, 13: 12130, 15: 8305, 16: 9529, 17: 10211, 18: 9956, 19: 9571, 20: 8205, 21: 12367, 23: 9858}, ('Category Choice', 5, 2): {5: 3298, 14: 10211, 17: 13118, 19: 8702, 20: 9600, 21: 9902, 22: 10013, 23: 9510, 24: 14555, 26: 11091}, ('Category Choice', 5, 3): {6: 2633, 15: 8316, 18: 11302, 20: 8079, 21: 8990, 22: 9536, 23: 10122, 24: 10309, 25: 9165, 26: 13088, 28: 8460}, ('Category Choice', 5, 4): {5: 4084, 17: 9592, 20: 13422, 22: 8263, 23: 9471, 24: 10886, 25: 11012, 26: 9341, 27: 14979, 29: 8950}, ('Category Choice', 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 24: 10206, 25: 12129, 26: 10402, 27: 9106, 28: 8745, 29: 16115}, ('Category Choice', 5, 6): {7: 3204, 19: 9258, 22: 11859, 24: 9077, 25: 12335, 26: 11056, 27: 9839, 28: 9678, 29: 11896, 30: 11798}, ('Category Choice', 5, 7): {8: 2983, 20: 9564, 23: 12501, 25: 11791, 26: 10837, 27: 9773, 28: 10189, 29: 14323, 30: 18039}, ('Category Choice', 5, 8): {9: 323, 17: 8259, 23: 9688, 25: 11074, 26: 10403, 27: 9715, 28: 9897, 29: 15421, 30: 25220}, ('Category Choice', 6, 0): {0: 100000}, ('Category Choice', 6, 1): {6: 6102, 15: 8311, 17: 13435, 19: 8212, 20: 8945, 21: 9367, 22: 9220, 23: 15784, 25: 11086, 27: 9538}, ('Category Choice', 6, 2): {8: 1504, 16: 8676, 20: 10032, 22: 14673, 24: 8800, 25: 9290, 26: 9222, 27: 16609, 29: 12133, 31: 9061}, ('Category Choice', 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 26: 8870, 27: 9225, 28: 9118, 29: 9042, 30: 8077, 31: 11749, 33: 8061}, ('Category Choice', 6, 4): {9: 441, 17: 8018, 23: 8603, 25: 13850, 27: 8452, 28: 8910, 29: 9441, 30: 9858, 31: 9026, 32: 13391, 34: 10010}, ('Category Choice', 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 29: 8850, 30: 10288, 31: 11006, 32: 9067, 33: 14812, 35: 10344}, ('Category Choice', 6, 6): {13: 876, 21: 8303, 26: 9813, 28: 14273, 30: 9632, 31: 11682, 32: 10420, 33: 9115, 34: 8614, 35: 17272}, ('Category Choice', 6, 7): {12: 3570, 25: 9625, 28: 11348, 30: 8579, 31: 11844, 32: 10723, 33: 9746, 34: 9580, 35: 12063, 36: 12922}, ('Category Choice', 6, 8): {12: 3450, 26: 9544, 29: 12230, 31: 11529, 32: 10601, 33: 9674, 34: 9888, 35: 14109, 36: 18975}, ('Category Choice', 7, 0): {0: 100000}, ('Category Choice', 7, 1): {7: 1237, 15: 8100, 19: 9820, 21: 14127, 23: 8119, 24: 8658, 25: 8584, 26: 8246, 27: 13940, 29: 9736, 31: 9433}, ('Category Choice', 7, 2): {10: 2086, 20: 8960, 24: 9667, 26: 13990, 28: 8075, 29: 8544, 30: 8645, 31: 15759, 33: 12356, 35: 11918}, ('Category Choice', 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 31: 8536, 32: 8692, 33: 16264, 35: 13130, 37: 12468}, ('Category Choice', 7, 4): {13: 2260, 24: 8651, 28: 9401, 30: 13621, 32: 8315, 33: 8544, 34: 8797, 35: 8640, 36: 8345, 37: 12925, 39: 10501}, ('Category Choice', 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 34: 8605, 35: 9013, 36: 9807, 37: 9314, 38: 14282, 40: 11962}, ('Category Choice', 7, 6): {14: 1957, 27: 8230, 31: 9649, 33: 14296, 35: 8456, 36: 9866, 37: 10964, 38: 9214, 39: 15305, 41: 12063}, ('Category Choice', 7, 7): {16: 599, 26: 8344, 32: 9424, 34: 13557, 36: 9373, 37: 11510, 38: 10233, 39: 9031, 40: 8781, 41: 10070, 42: 9078}, ('Category Choice', 7, 8): {14: 1, 17: 3638, 31: 8907, 34: 10904, 36: 8240, 37: 11908, 38: 10538, 39: 9681, 40: 9402, 41: 12225, 42: 14556}, ('Category Choice', 8, 0): {0: 100000}, ('Category Choice', 8, 1): {10: 752, 17: 8385, 22: 8721, 24: 12739, 26: 15361, 28: 8093, 29: 15420, 31: 12710, 33: 8800, 35: 9019}, ('Category Choice', 8, 2): {11: 5900, 26: 10331, 29: 11435, 31: 14533, 33: 8107, 34: 15832, 36: 13855, 38: 10165, 40: 9842}, ('Category Choice', 8, 3): {12: 2241, 26: 8099, 30: 8456, 32: 12018, 34: 14786, 36: 8217, 37: 8047, 38: 14876, 40: 11751, 42: 11509}, ('Category Choice', 8, 4): {16: 1327, 27: 8361, 32: 8125, 34: 11740, 36: 15078, 38: 8522, 39: 8280, 40: 15523, 42: 12218, 44: 10826}, ('Category Choice', 8, 5): {16: 4986, 32: 9031, 35: 10214, 37: 14528, 39: 8295, 40: 8603, 41: 8710, 42: 16131, 44: 11245, 46: 8257}, ('Category Choice', 8, 6): {16: 2392, 32: 8742, 36: 9303, 38: 13934, 40: 8083, 41: 8845, 42: 9405, 43: 9707, 44: 8244, 45: 12774, 47: 8571}, ('Category Choice', 8, 7): {20: 1130, 32: 8231, 37: 8931, 39: 13206, 41: 8066, 42: 9590, 43: 11127, 44: 9360, 45: 15861, 47: 14498}, ('Category Choice', 8, 8): {20: 73, 28: 8033, 38: 8745, 40: 12925, 42: 8984, 43: 11631, 44: 10176, 45: 9102, 46: 8827, 47: 10686, 48: 10818}, ('Category Inverse Choice', 0, 0): {0: 100000}, ('Category Inverse Choice', 0, 1): {0: 100000}, ('Category Inverse Choice', 0, 2): {0: 100000}, ('Category Inverse Choice', 0, 3): {0: 100000}, ('Category Inverse Choice', 0, 4): {0: 100000}, ('Category Inverse Choice', 0, 5): {0: 100000}, ('Category Inverse Choice', 0, 6): {0: 100000}, ('Category Inverse Choice', 0, 7): {0: 100000}, ('Category Inverse Choice', 0, 8): {0: 100000}, ('Category Inverse Choice', 1, 0): {0: 100000}, ('Category Inverse Choice', 1, 1): {1: 16642, 2: 16673, 3: 16828, 4: 16600, 5: 16618, 6: 16639}, ('Category Inverse Choice', 1, 2): {1: 10921, 2: 11161, 3: 10899, 4: 11333, 5: 27898, 6: 27788}, ('Category Inverse Choice', 1, 3): {1: 9416, 2: 9316, 3: 9263, 4: 9338, 5: 22740, 6: 39927}, ('Category Inverse Choice', 1, 4): {1: 15490, 3: 15489, 5: 19312, 6: 49709}, ('Category Inverse Choice', 1, 5): {1: 12817, 3: 12757, 5: 16005, 6: 58421}, ('Category Inverse Choice', 1, 6): {1: 10513, 3: 10719, 5: 13424, 6: 65344}, ('Category Inverse Choice', 1, 7): {1: 8893, 3: 8908, 5: 11028, 6: 71171}, ('Category Inverse Choice', 1, 8): {1: 3644, 2: 11054, 5: 9298, 6: 76004}, ('Category Inverse Choice', 2, 0): {0: 100000}, ('Category Inverse Choice', 2, 1): {2: 8504, 4: 8292, 5: 11014, 6: 13681, 7: 16670, 8: 13823, 9: 11170, 10: 8384, 11: 8462}, ('Category Inverse Choice', 2, 2): {2: 3714, 4: 8658, 6: 9840, 7: 14772, 8: 13639, 9: 12220, 10: 13755, 11: 23402}, ('Category Inverse Choice', 2, 3): {2: 5113, 5: 10402, 7: 13487, 8: 12296, 9: 11489, 10: 12684, 11: 18510, 12: 16019}, ('Category Inverse Choice', 2, 4): {2: 1783, 4: 8908, 7: 11794, 8: 11395, 9: 10694, 10: 11421, 11: 19145, 12: 24860}, ('Category Inverse Choice', 2, 5): {2: 7575, 7: 10459, 8: 9985, 9: 9457, 10: 10101, 11: 18504, 12: 33919}, ('Category Inverse Choice', 2, 6): {2: 5153, 7: 9329, 8: 8711, 9: 8343, 10: 8640, 11: 17310, 12: 42514}, ('Category Inverse Choice', 2, 7): {2: 3638, 7: 15197, 9: 14988, 11: 15801, 12: 50376}, ('Category Inverse Choice', 2, 8): {2: 2448, 7: 13306, 9: 12754, 11: 14067, 12: 57425}, ('Category Inverse Choice', 3, 0): {0: 100000}, ('Category Inverse Choice', 3, 1): {3: 4589, 6: 11560, 8: 9834, 9: 11635, 10: 12552, 11: 12455, 12: 11648, 13: 16684, 15: 9043}, ('Category Inverse Choice', 3, 2): {3: 1380, 6: 8622, 9: 14417, 11: 10449, 12: 13008, 13: 13398, 14: 11409, 15: 9806, 16: 8963, 17: 8548}, ('Category Inverse Choice', 3, 3): {3: 1605, 7: 9370, 10: 13491, 12: 10775, 13: 13633, 14: 12157, 15: 10908, 16: 10859, 17: 17202}, ('Category Inverse Choice', 3, 4): {3: 7212, 10: 9977, 12: 8677, 13: 13346, 14: 11945, 15: 10762, 16: 11330, 17: 14452, 18: 12299}, ('Category Inverse Choice', 3, 5): {3: 7989, 11: 10756, 13: 12249, 14: 11562, 15: 10586, 16: 11082, 17: 16329, 18: 19447}, ('Category Inverse Choice', 3, 6): {3: 3251, 10: 10272, 13: 11050, 14: 10603, 15: 9701, 16: 10252, 17: 17096, 18: 27775}, ('Category Inverse Choice', 3, 7): {3: 1018, 9: 8591, 13: 9808, 14: 9250, 15: 9022, 16: 9459, 17: 17010, 18: 35842}, ('Category Inverse Choice', 3, 8): {3: 6842, 13: 8621, 14: 8389, 15: 8108, 16: 8392, 17: 16142, 18: 43506}, ('Category Inverse Choice', 4, 0): {0: 100000}, ('Category Inverse Choice', 4, 1): {4: 5386, 9: 10561, 11: 8105, 12: 9516, 13: 10880, 14: 11229, 15: 10673, 16: 9725, 17: 14274, 19: 9651}, ('Category Inverse Choice', 4, 2): {4: 7510, 12: 10646, 14: 8110, 15: 9539, 16: 10496, 17: 11349, 18: 11247, 19: 17705, 21: 13398}, ('Category Inverse Choice', 4, 3): {4: 2392, 11: 8547, 14: 13300, 16: 8383, 17: 9883, 18: 11621, 19: 11785, 20: 9895, 21: 15876, 23: 8318}, ('Category Inverse Choice', 4, 4): {4: 2258, 12: 8230, 15: 12216, 17: 8169, 18: 10557, 19: 12760, 20: 11157, 21: 9541, 22: 9333, 23: 15779}, ('Category Inverse Choice', 4, 5): {4: 2209, 13: 8484, 16: 11343, 18: 9020, 19: 12893, 20: 11414, 21: 10261, 22: 10446, 23: 12551, 24: 11379}, ('Category Inverse Choice', 4, 6): {4: 2179, 14: 8704, 17: 12056, 19: 12054, 20: 11246, 21: 10350, 22: 10306, 23: 14883, 24: 18222}, ('Category Inverse Choice', 4, 7): {5: 7652, 17: 9283, 19: 11206, 20: 10646, 21: 9719, 22: 10265, 23: 15911, 24: 25318}, ('Category Inverse Choice', 4, 8): {5: 3231, 16: 8958, 19: 10211, 20: 9548, 21: 9030, 22: 9596, 23: 16241, 24: 33185}, ('Category Inverse Choice', 5, 0): {0: 100000}, ('Category Inverse Choice', 5, 1): {5: 1575, 10: 8293, 13: 12130, 15: 8305, 16: 9529, 17: 10211, 18: 9956, 19: 9571, 20: 8205, 21: 12367, 23: 9858}, ('Category Inverse Choice', 5, 2): {5: 3298, 14: 10211, 17: 13118, 19: 8702, 20: 9600, 21: 9902, 22: 10013, 23: 9510, 24: 14555, 26: 11091}, ('Category Inverse Choice', 5, 3): {6: 2633, 15: 8316, 18: 11302, 20: 8079, 21: 8990, 22: 9536, 23: 10122, 24: 10309, 25: 9165, 26: 13088, 28: 8460}, ('Category Inverse Choice', 5, 4): {5: 4084, 17: 9592, 20: 13422, 22: 8263, 23: 9471, 24: 10886, 25: 11012, 26: 9341, 27: 14979, 29: 8950}, ('Category Inverse Choice', 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 24: 10206, 25: 12129, 26: 10402, 27: 9106, 28: 8745, 29: 16115}, ('Category Inverse Choice', 5, 6): {7: 3204, 19: 9258, 22: 11859, 24: 9077, 25: 12335, 26: 11056, 27: 9839, 28: 9678, 29: 11896, 30: 11798}, ('Category Inverse Choice', 5, 7): {8: 2983, 20: 9564, 23: 12501, 25: 11791, 26: 10837, 27: 9773, 28: 10189, 29: 14323, 30: 18039}, ('Category Inverse Choice', 5, 8): {9: 323, 17: 8259, 23: 9688, 25: 11074, 26: 10403, 27: 9715, 28: 9897, 29: 15421, 30: 25220}, ('Category Inverse Choice', 6, 0): {0: 100000}, ('Category Inverse Choice', 6, 1): {6: 6102, 15: 8311, 17: 13435, 19: 8212, 20: 8945, 21: 9367, 22: 9220, 23: 15784, 25: 11086, 27: 9538}, ('Category Inverse Choice', 6, 2): {8: 1504, 16: 8676, 20: 10032, 22: 14673, 24: 8800, 25: 9290, 26: 9222, 27: 16609, 29: 12133, 31: 9061}, ('Category Inverse Choice', 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 26: 8870, 27: 9225, 28: 9118, 29: 9042, 30: 8077, 31: 11749, 33: 8061}, ('Category Inverse Choice', 6, 4): {9: 441, 17: 8018, 23: 8603, 25: 13850, 27: 8452, 28: 8910, 29: 9441, 30: 9858, 31: 9026, 32: 13391, 34: 10010}, ('Category Inverse Choice', 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 29: 8850, 30: 10288, 31: 11006, 32: 9067, 33: 14812, 35: 10344}, ('Category Inverse Choice', 6, 6): {13: 876, 21: 8303, 26: 9813, 28: 14273, 30: 9632, 31: 11682, 32: 10420, 33: 9115, 34: 8614, 35: 17272}, ('Category Inverse Choice', 6, 7): {12: 3570, 25: 9625, 28: 11348, 30: 8579, 31: 11844, 32: 10723, 33: 9746, 34: 9580, 35: 12063, 36: 12922}, ('Category Inverse Choice', 6, 8): {12: 3450, 26: 9544, 29: 12230, 31: 11529, 32: 10601, 33: 9674, 34: 9888, 35: 14109, 36: 18975}, ('Category Inverse Choice', 7, 0): {0: 100000}, ('Category Inverse Choice', 7, 1): {7: 1237, 15: 8100, 19: 9820, 21: 14127, 23: 8119, 24: 8658, 25: 8584, 26: 8246, 27: 13940, 29: 9736, 31: 9433}, ('Category Inverse Choice', 7, 2): {10: 2086, 20: 8960, 24: 9667, 26: 13990, 28: 8075, 29: 8544, 30: 8645, 31: 15759, 33: 12356, 35: 11918}, ('Category Inverse Choice', 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 31: 8536, 32: 8692, 33: 16264, 35: 13130, 37: 12468}, ('Category Inverse Choice', 7, 4): {13: 2260, 24: 8651, 28: 9401, 30: 13621, 32: 8315, 33: 8544, 34: 8797, 35: 8640, 36: 8345, 37: 12925, 39: 10501}, ('Category Inverse Choice', 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 34: 8605, 35: 9013, 36: 9807, 37: 9314, 38: 14282, 40: 11962}, ('Category Inverse Choice', 7, 6): {14: 1957, 27: 8230, 31: 9649, 33: 14296, 35: 8456, 36: 9866, 37: 10964, 38: 9214, 39: 15305, 41: 12063}, ('Category Inverse Choice', 7, 7): {16: 599, 26: 8344, 32: 9424, 34: 13557, 36: 9373, 37: 11510, 38: 10233, 39: 9031, 40: 8781, 41: 10070, 42: 9078}, ('Category Inverse Choice', 7, 8): {14: 1, 17: 3638, 31: 8907, 34: 10904, 36: 8240, 37: 11908, 38: 10538, 39: 9681, 40: 9402, 41: 12225, 42: 14556}, ('Category Inverse Choice', 8, 0): {0: 100000}, ('Category Inverse Choice', 8, 1): {10: 752, 17: 8385, 22: 8721, 24: 12739, 26: 15361, 28: 8093, 29: 15420, 31: 12710, 33: 8800, 35: 9019}, ('Category Inverse Choice', 8, 2): {11: 5900, 26: 10331, 29: 11435, 31: 14533, 33: 8107, 34: 15832, 36: 13855, 38: 10165, 40: 9842}, ('Category Inverse Choice', 8, 3): {12: 2241, 26: 8099, 30: 8456, 32: 12018, 34: 14786, 36: 8217, 37: 8047, 38: 14876, 40: 11751, 42: 11509}, ('Category Inverse Choice', 8, 4): {16: 1327, 27: 8361, 32: 8125, 34: 11740, 36: 15078, 38: 8522, 39: 8280, 40: 15523, 42: 12218, 44: 10826}, ('Category Inverse Choice', 8, 5): {16: 4986, 32: 9031, 35: 10214, 37: 14528, 39: 8295, 40: 8603, 41: 8710, 42: 16131, 44: 11245, 46: 8257}, ('Category Inverse Choice', 8, 6): {16: 2392, 32: 8742, 36: 9303, 38: 13934, 40: 8083, 41: 8845, 42: 9405, 43: 9707, 44: 8244, 45: 12774, 47: 8571}, ('Category Inverse Choice', 8, 7): {20: 1130, 32: 8231, 37: 8931, 39: 13206, 41: 8066, 42: 9590, 43: 11127, 44: 9360, 45: 15861, 47: 14498}, ('Category Inverse Choice', 8, 8): {20: 73, 28: 8033, 38: 8745, 40: 12925, 42: 8984, 43: 11631, 44: 10176, 45: 9102, 46: 8827, 47: 10686, 48: 10818}, ('Category Pair', 0, 0): {0: 100000}, ('Category Pair', 0, 1): {0: 100000}, ('Category Pair', 0, 2): {0: 100000}, ('Category Pair', 0, 3): {0: 100000}, ('Category Pair', 0, 4): {0: 100000}, ('Category Pair', 0, 5): {0: 100000}, ('Category Pair', 0, 6): {0: 100000}, ('Category Pair', 0, 7): {0: 100000}, ('Category Pair', 0, 8): {0: 100000}, ('Category Pair', 1, 0): {0: 100000}, ('Category Pair', 1, 1): {0: 100000}, ('Category Pair', 1, 2): {0: 100000}, ('Category Pair', 1, 3): {0: 100000}, ('Category Pair', 1, 4): {0: 100000}, ('Category Pair', 1, 5): {0: 100000}, ('Category Pair', 1, 6): {0: 100000}, ('Category Pair', 1, 7): {0: 100000}, ('Category Pair', 1, 8): {0: 100000}, ('Category Pair', 2, 0): {0: 100000}, ('Category Pair', 2, 1): {0: 83388, 10: 16612}, ('Category Pair', 2, 2): {0: 69422, 10: 30578}, ('Category Pair', 2, 3): {0: 57830, 10: 42170}, ('Category Pair', 2, 4): {0: 48195, 10: 51805}, ('Category Pair', 2, 5): {0: 40117, 10: 59883}, ('Category Pair', 2, 6): {0: 33286, 10: 66714}, ('Category Pair', 2, 7): {0: 27917, 10: 72083}, ('Category Pair', 2, 8): {0: 23354, 10: 76646}, ('Category Pair', 3, 0): {0: 100000}, ('Category Pair', 3, 1): {0: 55518, 10: 44482}, ('Category Pair', 3, 2): {0: 30904, 10: 69096}, ('Category Pair', 3, 3): {0: 17242, 10: 82758}, ('Category Pair', 3, 4): {0: 9486, 10: 90514}, ('Category Pair', 3, 5): {0: 5362, 10: 94638}, ('Category Pair', 3, 6): {0: 2909, 10: 97091}, ('Category Pair', 3, 7): {0: 1574, 10: 98426}, ('Category Pair', 3, 8): {0: 902, 10: 99098}, ('Category Pair', 4, 0): {0: 100000}, ('Category Pair', 4, 1): {0: 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12301, 15: 11871, 18: 8802}, ('Category Sum of Odds', 7, 2): {0: 4730, 8: 8998, 11: 10573, 13: 13099, 15: 13819, 17: 13594, 19: 12561, 21: 12881, 24: 9745}, ('Category Sum of Odds', 7, 3): {0: 2549, 9: 8523, 13: 8420, 15: 11146, 17: 12251, 19: 13562, 21: 13473, 23: 11918, 25: 8473, 27: 9685}, ('Category Sum of Odds', 7, 4): {0: 6776, 14: 9986, 17: 8988, 19: 11926, 21: 8147, 22: 12859, 24: 12685, 26: 10835, 28: 9199, 30: 8599}, ('Category Sum of Odds', 7, 5): {0: 2943, 14: 8009, 18: 8202, 20: 12046, 22: 11896, 24: 14166, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('Category Sum of Odds', 7, 6): {2: 1990, 15: 8986, 20: 9159, 22: 10039, 24: 13388, 26: 12513, 28: 15893, 30: 15831, 33: 7232, 35: 4969}, ('Category Sum of Odds', 7, 7): {4: 559, 14: 8153, 21: 11671, 24: 12064, 26: 11473, 28: 16014, 30: 11962, 31: 8823, 33: 10174, 35: 9107}, ('Category Sum of Odds', 7, 8): {0: 3, 8: 5190, 21: 8049, 24: 10585, 26: 9647, 28: 15608, 30: 14871, 31: 9462, 33: 12445, 35: 14140}, ('Category Sum of 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11446, 31: 10714, 33: 16060, 35: 12876, 36: 8889, 38: 10622, 40: 11063}, ('Category Sum of Evens', 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, ('Category Sum of Evens', 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, ('Category Sum of Evens', 1, 3): {0: 22259, 2: 7317, 4: 35040, 6: 35384}, ('Category Sum of Evens', 1, 4): {0: 18511, 2: 6233, 4: 29418, 6: 45838}, ('Category Sum of Evens', 1, 5): {0: 15428, 2: 5146, 4: 24510, 6: 54916}, ('Category Sum of Evens', 1, 6): {0: 12927, 2: 4255, 4: 20115, 6: 62703}, ('Category Sum of Evens', 1, 7): {0: 14152, 4: 17087, 6: 68761}, ('Category Sum of Evens', 1, 8): {0: 11920, 4: 14227, 6: 73853}, ('Category Sum of Evens', 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 8: 8263, 10: 8438}, ('Category Sum of Evens', 2, 2): {0: 11179, 2: 7503, 4: 19661, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, ('Category Sum of Evens', 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, ('Category Sum of Evens', 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, ('Category Sum of Evens', 2, 5): {0: 3991, 4: 7910, 6: 19247, 8: 11641, 10: 26842, 12: 30369}, ('Category Sum of Evens', 2, 6): {0: 2741, 4: 5313, 6: 17810, 8: 9468, 10: 25582, 12: 39086}, ('Category Sum of Evens', 2, 7): {0: 1122, 2: 4573, 6: 15965, 8: 7645, 10: 23307, 12: 47388}, ('Category Sum of Evens', 2, 8): {0: 3950, 6: 14006, 8: 6462, 10: 20879, 12: 54703}, ('Category Sum of Evens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 12: 7524, 14: 4668}, ('Category Sum of Evens', 3, 2): {0: 7404, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 14: 8937, 16: 8548}, ('Category Sum of Evens', 3, 3): {0: 2176, 4: 5572, 6: 8576, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 12864, 18: 4316}, ('Category Sum of Evens', 3, 4): {0: 4556, 6: 6844, 8: 8218, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('Category Sum of Evens', 3, 5): {0: 2575, 6: 5105, 8: 5720, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, ('Category Sum of Evens', 3, 6): {0: 1475, 6: 7528, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, ('Category Sum of Evens', 3, 7): {0: 862, 6: 5321, 10: 8145, 12: 18146, 14: 10985, 16: 24254, 18: 32287}, ('Category Sum of Evens', 3, 8): {0: 138, 4: 4086, 10: 5777, 12: 16926, 14: 9402, 16: 23114, 18: 40557}, ('Category Sum of Evens', 4, 1): {0: 6214, 2: 8516, 4: 12405, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 14: 6828, 16: 7664}, ('Category Sum of Evens', 4, 2): {0: 2868, 4: 4894, 6: 8468, 8: 10702, 10: 15154, 12: 15715, 14: 14104, 16: 12485, 18: 8084, 20: 7526}, ('Category Sum of Evens', 4, 3): {0: 573, 4: 4781, 8: 5715, 10: 10269, 12: 12879, 14: 16224, 16: 17484, 18: 13847, 20: 10518, 22: 7710}, ('Category Sum of Evens', 4, 4): {0: 1119, 6: 5124, 10: 7096, 12: 10298, 14: 12763, 16: 17947, 18: 16566, 20: 13338, 22: 11215, 24: 4534}, ('Category Sum of Evens', 4, 5): {0: 3477, 10: 4716, 12: 8022, 14: 9638, 16: 16546, 18: 18045, 20: 14172, 22: 16111, 24: 9273}, ('Category Sum 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12344, 22: 16826, 24: 15490, 26: 12235, 28: 11323, 30: 5102}, ('Category Sum of Evens', 5, 6): {0: 374, 10: 4670, 16: 5274, 18: 8224, 20: 9688, 22: 16041, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, ('Category Sum of Evens', 5, 7): {0: 1473, 14: 4943, 18: 6367, 20: 7478, 22: 13863, 24: 18114, 26: 13349, 28: 19048, 30: 15365}, ('Category Sum of Evens', 5, 8): {0: 1, 4: 3753, 18: 4912, 20: 5406, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, ('Category Sum of Evens', 6, 1): {0: 4767, 4: 5715, 6: 9535, 8: 11527, 10: 13220, 12: 13855, 14: 12217, 16: 10036, 18: 7641, 20: 5155, 22: 6332}, ('Category Sum of Evens', 6, 2): {0: 1380, 6: 5285, 10: 5781, 12: 8107, 14: 10495, 16: 12112, 18: 12962, 20: 12458, 22: 10842, 24: 8362, 26: 5714, 28: 6502}, ('Category Sum of Evens', 6, 3): {0: 1230, 10: 4741, 14: 5066, 16: 7714, 18: 10098, 20: 12628, 22: 13809, 24: 13594, 26: 11930, 28: 8967, 30: 5778, 32: 4445}, ('Category Sum of Evens', 6, 4): {0: 1235, 12: 4092, 16: 4678, 18: 6764, 20: 9551, 22: 12530, 24: 13471, 26: 13991, 28: 12906, 30: 9662, 32: 6534, 34: 4586}, ('Category Sum of Evens', 6, 5): {0: 1241, 14: 4118, 18: 4392, 20: 6604, 22: 9916, 24: 11810, 26: 13874, 28: 15232, 30: 12927, 32: 9788, 34: 10098}, ('Category Sum of Evens', 6, 6): {0: 1224, 16: 4254, 20: 4214, 22: 7418, 24: 9870, 26: 11838, 28: 15982, 30: 15534, 32: 12014, 34: 11679, 36: 5973}, ('Category Sum of Evens', 6, 7): {4: 1437, 18: 4249, 22: 5154, 24: 8221, 26: 9426, 28: 15301, 30: 17083, 32: 13001, 34: 15604, 36: 10524}, ('Category Sum of Evens', 6, 8): {4: 1707, 20: 4949, 24: 6361, 26: 7209, 28: 13662, 30: 18101, 32: 12842, 34: 18840, 36: 16329}, ('Category Sum of Evens', 7, 1): {0: 780, 2: 5457, 6: 6451, 8: 8939, 10: 11183, 12: 12690, 14: 12463, 16: 11578, 18: 9725, 20: 7614, 22: 8870, 26: 4250}, ('Category Sum of Evens', 7, 2): {0: 1433, 8: 4651, 12: 4933, 14: 7121, 16: 9103, 18: 10694, 20: 11747, 22: 12101, 24: 10947, 26: 9407, 28: 7140, 30: 4969, 32: 5754}, ('Category Sum of Evens', 7, 3): {0: 2135, 14: 5836, 18: 5753, 20: 8013, 22: 10305, 24: 12043, 26: 13153, 28: 12644, 30: 10884, 32: 8457, 34: 5494, 36: 5283}, ('Category Sum of Evens', 7, 4): {0: 1762, 16: 4828, 20: 4695, 22: 6948, 24: 9234, 26: 11605, 28: 12907, 30: 13018, 32: 11907, 34: 10022, 36: 6630, 38: 6444}, ('Category Sum of Evens', 7, 5): {4: 1630, 18: 4069, 22: 4347, 24: 6303, 26: 8816, 28: 11561, 30: 12713, 32: 13273, 34: 13412, 36: 10366, 38: 7212, 40: 6298}, ('Category Sum of Evens', 7, 6): {4: 1436, 20: 4042, 24: 4176, 26: 6057, 28: 9389, 30: 11291, 32: 12798, 34: 15385, 36: 13346, 38: 10011, 40: 12069}, ('Category Sum of Evens', 7, 7): {6: 2815, 24: 6584, 28: 7007, 30: 9525, 32: 11106, 34: 15613, 36: 15702, 38: 12021, 40: 12478, 42: 7149}, ('Category Sum of Evens', 7, 8): {10: 1490, 24: 4104, 28: 5058, 30: 7669, 32: 9076, 34: 14812, 36: 16970, 38: 12599, 40: 16137, 42: 12085}, ('Category Sum of Evens', 8, 1): {0: 3709, 6: 4344, 8: 6532, 10: 8598, 12: 10648, 14: 11696, 16: 11862, 18: 11145, 20: 9463, 22: 7414, 24: 9272, 28: 5317}, ('Category Sum of Evens', 8, 2): {0: 1361, 10: 4297, 14: 4098, 16: 6135, 18: 7865, 20: 9772, 22: 10922, 24: 11148, 26: 10879, 28: 9711, 30: 8043, 32: 6058, 34: 4215, 36: 5496}, ('Category Sum of Evens', 8, 3): {2: 1601, 16: 4246, 20: 4428, 22: 6221, 24: 8306, 26: 10158, 28: 11561, 30: 12249, 32: 11747, 34: 10070, 36: 7860, 38: 5627, 40: 5926}, ('Category Sum of Evens', 8, 4): {0: 2339, 20: 5286, 24: 4882, 26: 6864, 28: 9047, 30: 10811, 32: 12344, 34: 12243, 36: 11307, 38: 9623, 40: 7009, 42: 8245}, ('Category Sum of Evens', 8, 5): {4: 1798, 22: 4366, 26: 4229, 28: 6229, 30: 8178, 32: 10485, 34: 12180, 36: 12458, 38: 12260, 40: 10958, 42: 7933, 44: 8926}, ('Category Sum of Evens', 8, 6): {6: 2908, 26: 6292, 30: 5727, 32: 7846, 34: 10367, 36: 12064, 38: 12862, 40: 13920, 42: 11359, 44: 8361, 46: 8294}, ('Category Sum of Evens', 8, 7): {8: 2652, 28: 6168, 32: 5303, 34: 8619, 36: 10651, 38: 12089, 40: 14999, 42: 13899, 44: 10574, 46: 10004, 48: 5042}, ('Category 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6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376}, ('Category Double Threes and Fours', 2, 4): {0: 6164, 6: 14466, 8: 22828, 12: 8471, 14: 26935, 16: 21136}, ('Category Double Threes and Fours', 2, 5): {0: 4307, 6: 10005, 8: 22620, 12: 6057, 14: 26822, 16: 30189}, ('Category Double Threes and Fours', 2, 6): {0: 2879, 6: 7047, 8: 21466, 12: 4204, 14: 25326, 16: 39078}, ('Category Double Threes and Fours', 2, 7): {0: 2042, 6: 4637, 8: 19698, 12: 2846, 14: 23404, 16: 47373}, ('Category Double Threes and Fours', 2, 8): {0: 1385, 6: 3373, 8: 19793, 14: 20907, 16: 54542}, ('Category Double Threes and Fours', 3, 1): {0: 29378, 6: 22335, 8: 22138, 12: 5551, 14: 11232, 16: 9366}, ('Category Double Threes and Fours', 3, 2): {0: 8894, 6: 16518, 8: 16277, 12: 10334, 14: 20757, 16: 12265, 20: 6399, 22: 8556}, ('Category Double Threes and Fours', 3, 3): {0: 2643, 6: 9270, 8: 9252, 12: 11066, 14: 21922, 16: 11045, 18: 4335, 20: 12900, 22: 13101, 24: 4466}, ('Category Double Threes and Fours', 3, 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6250, 28: 9263, 30: 7762}, ('Category Double Threes and Fours', 4, 4): {0: 371, 6: 4491, 12: 3063, 14: 10057, 16: 10176, 20: 11583, 22: 18508, 24: 10280, 26: 4741, 28: 10883, 30: 11372, 32: 4475}, ('Category Double Threes and Fours', 4, 5): {0: 163, 6: 4251, 14: 6844, 16: 8952, 20: 8048, 22: 18097, 24: 17306, 28: 10930, 30: 16244, 32: 9165}, ('Category Double Threes and Fours', 4, 6): {0: 79, 6: 2446, 14: 4451, 16: 7542, 20: 5399, 22: 16364, 24: 18861, 28: 9736, 30: 19782, 32: 15340}, ('Category Double Threes and Fours', 4, 7): {0: 1042, 12: 3256, 16: 9287, 22: 13634, 24: 20162, 28: 8204, 30: 22055, 32: 22360}, ('Category Double Threes and Fours', 4, 8): {0: 20, 6: 2490, 16: 6901, 22: 10960, 24: 20269, 28: 6551, 30: 22891, 32: 29918}, ('Category Double Threes and Fours', 5, 1): {0: 13122, 6: 16411, 8: 16451, 12: 8304, 14: 16464, 16: 10392, 20: 6145, 22: 8383, 26: 4328}, ('Category Double Threes and Fours', 5, 2): {0: 1676, 6: 5469, 8: 5318, 12: 6656, 14: 13562, 16: 6786, 18: 4316, 20: 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25: 85634}, ('Category Five Distinct Dice', 5, 7): {0: 9568, 25: 90432}, ('Category Five Distinct Dice', 5, 8): {0: 6360, 25: 93640}, ('Category Five Distinct Dice', 6, 1): {0: 75051, 25: 24949}, ('Category Five Distinct Dice', 6, 2): {0: 38409, 25: 61591}, ('Category Five Distinct Dice', 6, 3): {0: 17505, 25: 82495}, ('Category Five Distinct Dice', 6, 4): {0: 7862, 25: 92138}, ('Category Five Distinct Dice', 6, 5): {0: 3538, 25: 96462}, ('Category Five Distinct Dice', 6, 6): {0: 1645, 25: 98355}, ('Category Five Distinct Dice', 6, 7): {0: 714, 25: 99286}, ('Category Five Distinct Dice', 6, 8): {0: 341, 25: 99659}, ('Category Five Distinct Dice', 7, 1): {0: 58588, 25: 41412}, ('Category Five Distinct Dice', 7, 2): {0: 19487, 25: 80513}, ('Category Five Distinct Dice', 7, 3): {0: 6043, 25: 93957}, ('Category Five Distinct Dice', 7, 4): {0: 1799, 25: 98201}, ('Category Five Distinct Dice', 7, 5): {0: 544, 25: 99456}, ('Category Five Distinct Dice', 7, 6): {0: 169, 25: 99831}, ('Category Five Distinct Dice', 7, 7): {0: 59, 25: 99941}, ('Category Five Distinct Dice', 7, 8): {0: 11, 25: 99989}, ('Category Five Distinct Dice', 8, 1): {0: 43586, 25: 56414}, ('Category Five Distinct Dice', 8, 2): {0: 9615, 25: 90385}, ('Category Five Distinct Dice', 8, 3): {0: 1944, 25: 98056}, ('Category Five Distinct Dice', 8, 4): {0: 383, 25: 99617}, ('Category Five Distinct Dice', 8, 5): {0: 77, 25: 99923}, ('Category Five Distinct Dice', 8, 6): {0: 18, 25: 99982}, ('Category Five Distinct Dice', 8, 7): {0: 3, 25: 99997}, ('Category Five Distinct Dice', 8, 8): {0: 2, 25: 99998}, ('Category 4&5 Full House', 1, 1): {0: 100000}, ('Category 4&5 Full House', 1, 2): {0: 100000}, ('Category 4&5 Full House', 1, 3): {0: 100000}, ('Category 4&5 Full House', 1, 4): {0: 100000}, ('Category 4&5 Full House', 1, 5): {0: 100000}, ('Category 4&5 Full House', 1, 6): {0: 100000}, ('Category 4&5 Full House', 1, 7): {0: 100000}, ('Category 4&5 Full House', 1, 8): {0: 100000}, ('Category 4&5 Full House', 2, 1): {0: 100000}, ('Category 4&5 Full House', 2, 2): {0: 100000}, ('Category 4&5 Full House', 2, 3): {0: 100000}, ('Category 4&5 Full House', 2, 4): {0: 100000}, ('Category 4&5 Full House', 2, 5): {0: 100000}, ('Category 4&5 Full House', 2, 6): {0: 100000}, ('Category 4&5 Full House', 2, 7): {0: 100000}, ('Category 4&5 Full House', 2, 8): {0: 100000}, ('Category 4&5 Full House', 3, 1): {0: 100000}, ('Category 4&5 Full House', 3, 2): {0: 100000}, ('Category 4&5 Full House', 3, 3): {0: 100000}, ('Category 4&5 Full House', 3, 4): {0: 100000}, ('Category 4&5 Full House', 3, 5): {0: 100000}, ('Category 4&5 Full House', 3, 6): {0: 100000}, ('Category 4&5 Full House', 3, 7): {0: 100000}, ('Category 4&5 Full House', 3, 8): {0: 100000}, ('Category 4&5 Full House', 4, 1): {0: 100000}, ('Category 4&5 Full House', 4, 2): {0: 100000}, ('Category 4&5 Full House', 4, 3): {0: 100000}, ('Category 4&5 Full House', 4, 4): {0: 100000}, ('Category 4&5 Full House', 4, 5): {0: 100000}, ('Category 4&5 Full House', 4, 6): {0: 100000}, ('Category 4&5 Full House', 4, 7): {0: 100000}, ('Category 4&5 Full House', 4, 8): {0: 100000}, ('Category 4&5 Full House', 5, 1): {0: 99724, 50: 276}, ('Category 4&5 Full House', 5, 2): {0: 96607, 50: 3393}, ('Category 4&5 Full House', 5, 3): {0: 88788, 50: 11212}, ('Category 4&5 Full House', 5, 4): {0: 77799, 50: 22201}, ('Category 4&5 Full House', 5, 5): {0: 65797, 50: 34203}, ('Category 4&5 Full House', 5, 6): {0: 54548, 50: 45452}, ('Category 4&5 Full House', 5, 7): {0: 44898, 50: 55102}, ('Category 4&5 Full House', 5, 8): {0: 36881, 50: 63119}, ('Category 4&5 Full House', 6, 1): {0: 98841, 50: 1159}, ('Category 4&5 Full House', 6, 2): {0: 88680, 50: 11320}, ('Category 4&5 Full House', 6, 3): {0: 70215, 50: 29785}, ('Category 4&5 Full House', 6, 4): {0: 50801, 50: 49199}, ('Category 4&5 Full House', 6, 5): {0: 35756, 50: 64244}, ('Category 4&5 Full House', 6, 6): {0: 24698, 50: 75302}, ('Category 4&5 Full House', 6, 7): {0: 17145, 50: 82855}, ('Category 4&5 Full House', 6, 8): {0: 11846, 50: 88154}, ('Category 4&5 Full House', 7, 1): {0: 97090, 50: 2910}, ('Category 4&5 Full House', 7, 2): {0: 77440, 50: 22560}, ('Category 4&5 Full House', 7, 3): {0: 51372, 50: 48628}, ('Category 4&5 Full House', 7, 4): {0: 30566, 50: 69434}, ('Category 4&5 Full House', 7, 5): {0: 17866, 50: 82134}, ('Category 4&5 Full House', 7, 6): {0: 10521, 50: 89479}, ('Category 4&5 Full House', 7, 7): {0: 6204, 50: 93796}, ('Category 4&5 Full House', 7, 8): {0: 3670, 50: 96330}, ('Category 4&5 Full House', 8, 1): {0: 94172, 50: 5828}, ('Category 4&5 Full House', 8, 2): {0: 64693, 50: 35307}, ('Category 4&5 Full House', 8, 3): {0: 35293, 50: 64707}, ('Category 4&5 Full House', 8, 4): {0: 17749, 50: 82251}, ('Category 4&5 Full House', 8, 5): {0: 8740, 50: 91260}, ('Category 4&5 Full House', 8, 6): {0: 4550, 50: 95450}, ('Category 4&5 Full House', 8, 7): {0: 2218, 50: 97782}, ('Category 4&5 Full House', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index e7b601c2fb9d..a9f4588f4a70 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.0.6" + ap_world_version = "2.1.0" def _get_yachtdice_data(self): return { @@ -142,10 +142,10 @@ def generate_early(self): ] # categories used in this game. - possible_categories = [] + self.possible_categories = [] for index, cats in enumerate(all_categories): - possible_categories.append(cats[categorylist[index]]) + self.possible_categories.append(cats[categorylist[index]]) # Add Choice and Inverse choice (or their alts) to the precollected list. if index == 0 or index == 1: @@ -264,7 +264,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) # which often don't give any points, until you get overpowered, and then they give all points. cat_weights = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1] weights["Double category"] /= 1.1 - return self.random.choices(possible_categories, weights=cat_weights)[0] + return self.random.choices(self.possible_categories, weights=cat_weights)[0] elif which_item_to_add == "Points": score_dist = self.options.points_size probs = {"1 Point": 1, "10 Points": 0, "100 Points": 0} @@ -301,7 +301,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added)) score_in_logic = dice_simulation_fill_pool( - self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.difficulty, self.player + self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.possible_categories, self.difficulty, self.player ) # if we overshoot, remove items until you get below 1000, then return the last removed item @@ -313,6 +313,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, + self.possible_categories, self.difficulty, self.player, ) @@ -333,6 +334,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, + self.possible_categories, self.difficulty, self.player, ) @@ -443,7 +445,7 @@ def set_rules(self): """ set rules per location, and add the rule for beating the game """ - set_yacht_rules(self.multiworld, self.player, self.frags_per_dice, self.frags_per_roll, self.difficulty) + set_yacht_rules(self.multiworld, self.player, self.frags_per_dice, self.frags_per_roll, self.possible_categories, self.difficulty) set_yacht_completion_rules(self.multiworld, self.player) def fill_slot_data(self): @@ -463,6 +465,7 @@ def fill_slot_data(self): slot_data = {**yacht_dice_data, **yacht_dice_options} # combine the two slot_data["goal_score"] = self.goal_score slot_data["last_check_score"] = self.max_score + slot_data["allowed_categories"] = self.possible_categories slot_data["ap_world_version"] = self.ap_world_version return slot_data From d93e62b6377cb9d4e7a104fd95e61c2301a8ecf4 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 6 Jul 2024 21:22:48 +0200 Subject: [PATCH 105/127] :dog: ruff --- worlds/yachtdice/Rules.py | 1 + worlds/yachtdice/YachtWeights.py | 5411 +++++++++++++++++++++++++++++- worlds/yachtdice/__init__.py | 16 +- 3 files changed, 5425 insertions(+), 3 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 418e5c374901..1db5cebccdef 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -16,6 +16,7 @@ # We then pick a correct percentile to reflect the correct score that should be in logic. # The score is logic is *much* lower than the actual maximum reachable score. + class Category: def __init__(self, name, quantity=1): self.name = name diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index a54e82450535..5b01d11674e2 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,4 +6,5413 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {('Category Ones', 0, 0): {0: 100000}, ('Category Ones', 0, 1): {0: 100000}, ('Category Ones', 0, 2): {0: 100000}, ('Category Ones', 0, 3): {0: 100000}, ('Category Ones', 0, 4): {0: 100000}, ('Category Ones', 0, 5): {0: 100000}, ('Category Ones', 0, 6): {0: 100000}, ('Category Ones', 0, 7): {0: 100000}, ('Category Ones', 0, 8): {0: 100000}, ('Category Ones', 1, 0): {0: 100000}, ('Category Ones', 1, 1): {0: 83416, 1: 16584}, ('Category Ones', 1, 2): {0: 69346, 1: 30654}, ('Category Ones', 1, 3): {0: 57756, 1: 42244}, ('Category Ones', 1, 4): {0: 48709, 1: 51291}, ('Category Ones', 1, 5): {0: 40214, 1: 59786}, ('Category Ones', 1, 6): {0: 33491, 1: 66509}, ('Category Ones', 1, 7): {0: 27838, 1: 72162}, ('Category Ones', 1, 8): {0: 23094, 1: 76906}, ('Category Ones', 2, 0): {0: 100000}, ('Category Ones', 2, 1): {0: 69715, 1: 30285}, ('Category Ones', 2, 2): {0: 48066, 1: 42669, 2: 9265}, ('Category Ones', 2, 3): {0: 33544, 1: 48585, 2: 17871}, ('Category Ones', 2, 4): {0: 23342, 1: 50092, 2: 26566}, ('Category Ones', 2, 5): {0: 16036, 1: 48250, 2: 35714}, ('Category Ones', 2, 6): {0: 11355, 1: 44545, 2: 44100}, ('Category Ones', 2, 7): {0: 7812, 1: 40248, 2: 51940}, ('Category Ones', 2, 8): {0: 5395, 1: 35484, 2: 59121}, ('Category Ones', 3, 0): {0: 100000}, ('Category Ones', 3, 1): {0: 57462, 1: 42538}, ('Category Ones', 3, 2): {0: 33327, 1: 44253, 2: 22420}, ('Category Ones', 3, 3): {0: 19432, 1: 42237, 2: 38331}, ('Category Ones', 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ('Category Ones', 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, ('Category Ones', 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, ('Category Ones', 3, 7): {0: 2134, 1: 16717, 2: 43782, 3: 37367}, ('Category Ones', 3, 8): {0: 1280, 1: 12567, 2: 40951, 3: 45202}, ('Category Ones', 4, 0): {0: 100000}, ('Category Ones', 4, 1): {0: 48178, 1: 38635, 2: 13187}, ('Category Ones', 4, 2): {0: 23349, 1: 40775, 2: 26967, 3: 8909}, ('Category Ones', 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, ('Category Ones', 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 34157}, ('Category Ones', 4, 5): {0: 2640, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, ('Category Ones', 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, ('Category Ones', 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, ('Category Ones', 4, 8): {0: 4228, 2: 19045, 3: 42267, 4: 34460}, ('Category Ones', 5, 0): {0: 100000}, ('Category Ones', 5, 1): {0: 40042, 1: 40202, 2: 19756}, ('Category Ones', 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, ('Category Ones', 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 24952, 4: 10435}, ('Category Ones', 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, ('Category Ones', 5, 5): {0: 8783, 2: 23245, 3: 34614, 4: 33358}, ('Category Ones', 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, ('Category Ones', 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, ('Category Ones', 5, 8): {0: 73, 1: 8476, 3: 24639, 4: 40166, 5: 26646}, ('Category Ones', 6, 0): {0: 100000}, ('Category Ones', 6, 1): {0: 33501, 1: 40042, 2: 26457}, ('Category Ones', 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 26927}, ('Category Ones', 6, 3): {0: 3764, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, ('Category Ones', 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, ('Category Ones', 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, ('Category Ones', 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, ('Category Ones', 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, ('Category Ones', 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, ('Category Ones', 7, 0): {0: 100000}, ('Category Ones', 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, ('Category Ones', 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, ('Category Ones', 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, ('Category Ones', 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 25476}, ('Category Ones', 7, 5): {0: 174, 1: 9680, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, ('Category Ones', 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, ('Category Ones', 7, 7): {0: 230, 2: 9745, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, ('Category Ones', 7, 8): {0: 5519, 4: 15425, 5: 30293, 6: 33357, 7: 15406}, ('Category Ones', 8, 0): {0: 100000}, ('Category Ones', 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, ('Category Ones', 8, 2): {0: 5472, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, ('Category Ones', 8, 3): {0: 8661, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, ('Category Ones', 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, ('Category Ones', 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, ('Category Ones', 8, 6): {0: 255, 2: 8617, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, ('Category Ones', 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 30003}, ('Category Ones', 8, 8): {0: 310, 3: 8797, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, ('Category Twos', 0, 0): {0: 100000}, ('Category Twos', 0, 1): {0: 100000}, ('Category Twos', 0, 2): {0: 100000}, ('Category Twos', 0, 3): {0: 100000}, ('Category Twos', 0, 4): {0: 100000}, ('Category Twos', 0, 5): {0: 100000}, ('Category Twos', 0, 6): {0: 100000}, ('Category Twos', 0, 7): {0: 100000}, ('Category Twos', 0, 8): {0: 100000}, ('Category Twos', 1, 0): {0: 100000}, ('Category Twos', 1, 1): {0: 83475, 2: 16525}, ('Category Twos', 1, 2): {0: 69690, 2: 30310}, ('Category Twos', 1, 3): {0: 57818, 2: 42182}, ('Category Twos', 1, 4): {0: 48418, 2: 51582}, ('Category Twos', 1, 5): {0: 40301, 2: 59699}, ('Category Twos', 1, 6): {0: 33558, 2: 66442}, ('Category Twos', 1, 7): {0: 28182, 2: 71818}, ('Category Twos', 1, 8): {0: 23406, 2: 76594}, ('Category Twos', 2, 0): {0: 100000}, ('Category Twos', 2, 1): {0: 69724, 2: 30276}, ('Category Twos', 2, 2): {0: 48238, 2: 42479, 4: 9283}, ('Category Twos', 2, 3): {0: 33290, 2: 48819, 4: 17891}, ('Category Twos', 2, 4): {0: 23136, 2: 49957, 4: 26907}, ('Category Twos', 2, 5): {0: 16146, 2: 48200, 4: 35654}, ('Category Twos', 2, 6): {0: 11083, 2: 44497, 4: 44420}, ('Category Twos', 2, 7): {0: 7662, 2: 40343, 4: 51995}, ('Category Twos', 2, 8): {0: 5354, 2: 35526, 4: 59120}, ('Category Twos', 3, 0): {0: 100000}, ('Category Twos', 3, 1): {0: 58021, 2: 34522, 4: 7457}, ('Category Twos', 3, 2): {0: 33548, 2: 44261, 4: 22191}, ('Category Twos', 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, ('Category Twos', 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, ('Category Twos', 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, ('Category Twos', 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, ('Category Twos', 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, ('Category Twos', 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, ('Category Twos', 4, 0): {0: 100000}, ('Category Twos', 4, 1): {0: 48235, 2: 38602, 4: 13163}, ('Category Twos', 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, ('Category Twos', 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, ('Category Twos', 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, ('Category Twos', 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, ('Category Twos', 4, 6): {0: 1259, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, ('Category Twos', 4, 7): {0: 622, 2: 6323, 4: 24103, 6: 41894, 8: 27058}, ('Category Twos', 4, 8): {0: 4091, 4: 18855, 6: 42309, 8: 34745}, ('Category Twos', 5, 0): {0: 100000}, ('Category Twos', 5, 1): {0: 40028, 2: 40241, 4: 19731}, ('Category Twos', 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 17066}, ('Category Twos', 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, ('Category Twos', 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 20897}, ('Category Twos', 5, 5): {0: 1032, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, ('Category Twos', 5, 6): {0: 450, 2: 4152, 4: 16541, 6: 32774, 8: 32900, 10: 13183}, ('Category Twos', 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, ('Category Twos', 5, 8): {0: 1171, 4: 7571, 6: 23993, 8: 40798, 10: 26467}, ('Category Twos', 6, 0): {0: 100000}, ('Category Twos', 6, 1): {0: 33502, 2: 40413, 4: 19717, 6: 6368}, ('Category Twos', 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, ('Category Twos', 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 15825, 10: 5146}, ('Category Twos', 6, 4): {0: 1243, 2: 8048, 4: 21977, 6: 31053, 8: 25066, 10: 12613}, ('Category Twos', 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 18355, 12: 4637}, ('Category Twos', 6, 6): {0: 1800, 4: 8455, 6: 22222, 8: 32692, 10: 26213, 12: 8618}, ('Category Twos', 6, 7): {0: 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{3: 3251, 10: 10272, 13: 11050, 14: 10603, 15: 9701, 16: 10252, 17: 17096, 18: 27775}, ('Category Inverse Choice', 3, 7): {3: 1018, 9: 8591, 13: 9808, 14: 9250, 15: 9022, 16: 9459, 17: 17010, 18: 35842}, ('Category Inverse Choice', 3, 8): {3: 6842, 13: 8621, 14: 8389, 15: 8108, 16: 8392, 17: 16142, 18: 43506}, ('Category Inverse Choice', 4, 0): {0: 100000}, ('Category Inverse Choice', 4, 1): {4: 5386, 9: 10561, 11: 8105, 12: 9516, 13: 10880, 14: 11229, 15: 10673, 16: 9725, 17: 14274, 19: 9651}, ('Category Inverse Choice', 4, 2): {4: 7510, 12: 10646, 14: 8110, 15: 9539, 16: 10496, 17: 11349, 18: 11247, 19: 17705, 21: 13398}, ('Category Inverse Choice', 4, 3): {4: 2392, 11: 8547, 14: 13300, 16: 8383, 17: 9883, 18: 11621, 19: 11785, 20: 9895, 21: 15876, 23: 8318}, ('Category Inverse Choice', 4, 4): {4: 2258, 12: 8230, 15: 12216, 17: 8169, 18: 10557, 19: 12760, 20: 11157, 21: 9541, 22: 9333, 23: 15779}, ('Category Inverse Choice', 4, 5): {4: 2209, 13: 8484, 16: 11343, 18: 9020, 19: 12893, 20: 11414, 21: 10261, 22: 10446, 23: 12551, 24: 11379}, ('Category Inverse Choice', 4, 6): {4: 2179, 14: 8704, 17: 12056, 19: 12054, 20: 11246, 21: 10350, 22: 10306, 23: 14883, 24: 18222}, ('Category Inverse Choice', 4, 7): {5: 7652, 17: 9283, 19: 11206, 20: 10646, 21: 9719, 22: 10265, 23: 15911, 24: 25318}, ('Category Inverse Choice', 4, 8): {5: 3231, 16: 8958, 19: 10211, 20: 9548, 21: 9030, 22: 9596, 23: 16241, 24: 33185}, ('Category Inverse Choice', 5, 0): {0: 100000}, ('Category Inverse Choice', 5, 1): {5: 1575, 10: 8293, 13: 12130, 15: 8305, 16: 9529, 17: 10211, 18: 9956, 19: 9571, 20: 8205, 21: 12367, 23: 9858}, ('Category Inverse Choice', 5, 2): {5: 3298, 14: 10211, 17: 13118, 19: 8702, 20: 9600, 21: 9902, 22: 10013, 23: 9510, 24: 14555, 26: 11091}, ('Category Inverse Choice', 5, 3): {6: 2633, 15: 8316, 18: 11302, 20: 8079, 21: 8990, 22: 9536, 23: 10122, 24: 10309, 25: 9165, 26: 13088, 28: 8460}, ('Category Inverse Choice', 5, 4): {5: 4084, 17: 9592, 20: 13422, 22: 8263, 23: 9471, 24: 10886, 25: 11012, 26: 9341, 27: 14979, 29: 8950}, ('Category Inverse Choice', 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 24: 10206, 25: 12129, 26: 10402, 27: 9106, 28: 8745, 29: 16115}, ('Category Inverse Choice', 5, 6): {7: 3204, 19: 9258, 22: 11859, 24: 9077, 25: 12335, 26: 11056, 27: 9839, 28: 9678, 29: 11896, 30: 11798}, ('Category Inverse Choice', 5, 7): {8: 2983, 20: 9564, 23: 12501, 25: 11791, 26: 10837, 27: 9773, 28: 10189, 29: 14323, 30: 18039}, ('Category Inverse Choice', 5, 8): {9: 323, 17: 8259, 23: 9688, 25: 11074, 26: 10403, 27: 9715, 28: 9897, 29: 15421, 30: 25220}, ('Category Inverse Choice', 6, 0): {0: 100000}, ('Category Inverse Choice', 6, 1): {6: 6102, 15: 8311, 17: 13435, 19: 8212, 20: 8945, 21: 9367, 22: 9220, 23: 15784, 25: 11086, 27: 9538}, ('Category Inverse Choice', 6, 2): {8: 1504, 16: 8676, 20: 10032, 22: 14673, 24: 8800, 25: 9290, 26: 9222, 27: 16609, 29: 12133, 31: 9061}, ('Category Inverse Choice', 6, 3): {6: 1896, 18: 8914, 22: 10226, 24: 14822, 26: 8870, 27: 9225, 28: 9118, 29: 9042, 30: 8077, 31: 11749, 33: 8061}, ('Category Inverse Choice', 6, 4): {9: 441, 17: 8018, 23: 8603, 25: 13850, 27: 8452, 28: 8910, 29: 9441, 30: 9858, 31: 9026, 32: 13391, 34: 10010}, ('Category Inverse Choice', 6, 5): {10: 1788, 21: 8763, 25: 10319, 27: 14763, 29: 8850, 30: 10288, 31: 11006, 32: 9067, 33: 14812, 35: 10344}, ('Category Inverse Choice', 6, 6): {13: 876, 21: 8303, 26: 9813, 28: 14273, 30: 9632, 31: 11682, 32: 10420, 33: 9115, 34: 8614, 35: 17272}, ('Category Inverse Choice', 6, 7): {12: 3570, 25: 9625, 28: 11348, 30: 8579, 31: 11844, 32: 10723, 33: 9746, 34: 9580, 35: 12063, 36: 12922}, ('Category Inverse Choice', 6, 8): {12: 3450, 26: 9544, 29: 12230, 31: 11529, 32: 10601, 33: 9674, 34: 9888, 35: 14109, 36: 18975}, ('Category Inverse Choice', 7, 0): {0: 100000}, ('Category Inverse Choice', 7, 1): {7: 1237, 15: 8100, 19: 9820, 21: 14127, 23: 8119, 24: 8658, 25: 8584, 26: 8246, 27: 13940, 29: 9736, 31: 9433}, ('Category Inverse Choice', 7, 2): {10: 2086, 20: 8960, 24: 9667, 26: 13990, 28: 8075, 29: 8544, 30: 8645, 31: 15759, 33: 12356, 35: 11918}, ('Category Inverse Choice', 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 31: 8536, 32: 8692, 33: 16264, 35: 13130, 37: 12468}, ('Category Inverse Choice', 7, 4): {13: 2260, 24: 8651, 28: 9401, 30: 13621, 32: 8315, 33: 8544, 34: 8797, 35: 8640, 36: 8345, 37: 12925, 39: 10501}, ('Category Inverse Choice', 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 34: 8605, 35: 9013, 36: 9807, 37: 9314, 38: 14282, 40: 11962}, ('Category Inverse Choice', 7, 6): {14: 1957, 27: 8230, 31: 9649, 33: 14296, 35: 8456, 36: 9866, 37: 10964, 38: 9214, 39: 15305, 41: 12063}, ('Category Inverse Choice', 7, 7): {16: 599, 26: 8344, 32: 9424, 34: 13557, 36: 9373, 37: 11510, 38: 10233, 39: 9031, 40: 8781, 41: 10070, 42: 9078}, ('Category Inverse Choice', 7, 8): {14: 1, 17: 3638, 31: 8907, 34: 10904, 36: 8240, 37: 11908, 38: 10538, 39: 9681, 40: 9402, 41: 12225, 42: 14556}, ('Category Inverse Choice', 8, 0): {0: 100000}, ('Category Inverse Choice', 8, 1): {10: 752, 17: 8385, 22: 8721, 24: 12739, 26: 15361, 28: 8093, 29: 15420, 31: 12710, 33: 8800, 35: 9019}, ('Category Inverse Choice', 8, 2): {11: 5900, 26: 10331, 29: 11435, 31: 14533, 33: 8107, 34: 15832, 36: 13855, 38: 10165, 40: 9842}, ('Category Inverse Choice', 8, 3): {12: 2241, 26: 8099, 30: 8456, 32: 12018, 34: 14786, 36: 8217, 37: 8047, 38: 14876, 40: 11751, 42: 11509}, ('Category Inverse Choice', 8, 4): {16: 1327, 27: 8361, 32: 8125, 34: 11740, 36: 15078, 38: 8522, 39: 8280, 40: 15523, 42: 12218, 44: 10826}, ('Category Inverse Choice', 8, 5): {16: 4986, 32: 9031, 35: 10214, 37: 14528, 39: 8295, 40: 8603, 41: 8710, 42: 16131, 44: 11245, 46: 8257}, ('Category Inverse Choice', 8, 6): {16: 2392, 32: 8742, 36: 9303, 38: 13934, 40: 8083, 41: 8845, 42: 9405, 43: 9707, 44: 8244, 45: 12774, 47: 8571}, ('Category Inverse Choice', 8, 7): {20: 1130, 32: 8231, 37: 8931, 39: 13206, 41: 8066, 42: 9590, 43: 11127, 44: 9360, 45: 15861, 47: 14498}, ('Category Inverse Choice', 8, 8): {20: 73, 28: 8033, 38: 8745, 40: 12925, 42: 8984, 43: 11631, 44: 10176, 45: 9102, 46: 8827, 47: 10686, 48: 10818}, ('Category Pair', 0, 0): {0: 100000}, ('Category Pair', 0, 1): {0: 100000}, ('Category Pair', 0, 2): {0: 100000}, ('Category Pair', 0, 3): {0: 100000}, ('Category Pair', 0, 4): {0: 100000}, ('Category Pair', 0, 5): {0: 100000}, ('Category Pair', 0, 6): {0: 100000}, ('Category Pair', 0, 7): {0: 100000}, ('Category Pair', 0, 8): {0: 100000}, ('Category Pair', 1, 0): {0: 100000}, ('Category Pair', 1, 1): {0: 100000}, ('Category Pair', 1, 2): {0: 100000}, ('Category Pair', 1, 3): {0: 100000}, ('Category Pair', 1, 4): {0: 100000}, ('Category Pair', 1, 5): {0: 100000}, ('Category Pair', 1, 6): {0: 100000}, ('Category Pair', 1, 7): {0: 100000}, ('Category Pair', 1, 8): {0: 100000}, ('Category Pair', 2, 0): {0: 100000}, ('Category Pair', 2, 1): {0: 83388, 10: 16612}, ('Category Pair', 2, 2): {0: 69422, 10: 30578}, ('Category Pair', 2, 3): {0: 57830, 10: 42170}, ('Category Pair', 2, 4): {0: 48195, 10: 51805}, ('Category Pair', 2, 5): {0: 40117, 10: 59883}, ('Category Pair', 2, 6): {0: 33286, 10: 66714}, ('Category Pair', 2, 7): {0: 27917, 10: 72083}, ('Category Pair', 2, 8): {0: 23354, 10: 76646}, ('Category Pair', 3, 0): {0: 100000}, ('Category Pair', 3, 1): {0: 55518, 10: 44482}, ('Category Pair', 3, 2): {0: 30904, 10: 69096}, ('Category Pair', 3, 3): {0: 17242, 10: 82758}, ('Category Pair', 3, 4): {0: 9486, 10: 90514}, ('Category Pair', 3, 5): {0: 5362, 10: 94638}, ('Category Pair', 3, 6): {0: 2909, 10: 97091}, ('Category Pair', 3, 7): {0: 1574, 10: 98426}, ('Category Pair', 3, 8): {0: 902, 10: 99098}, ('Category Pair', 4, 0): {0: 100000}, ('Category Pair', 4, 1): {0: 27789, 10: 72211}, ('Category Pair', 4, 2): {0: 7799, 10: 92201}, ('Category Pair', 4, 3): {0: 2113, 10: 97887}, ('Category Pair', 4, 4): {0: 601, 10: 99399}, ('Category Pair', 4, 5): {0: 155, 10: 99845}, ('Category Pair', 4, 6): {0: 43, 10: 99957}, ('Category Pair', 4, 7): {0: 10, 10: 99990}, ('Category Pair', 4, 8): {0: 3, 10: 99997}, ('Category Pair', 5, 0): {0: 100000}, ('Category Pair', 5, 1): {0: 9298, 10: 90702}, ('Category Pair', 5, 2): {0: 863, 10: 99137}, ('Category Pair', 5, 3): {0: 79, 10: 99921}, ('Category Pair', 5, 4): {0: 2, 10: 99998}, ('Category Pair', 5, 5): {0: 2, 10: 99998}, ('Category Pair', 5, 6): {10: 100000}, ('Category Pair', 5, 7): {10: 100000}, ('Category Pair', 5, 8): {10: 100000}, ('Category Pair', 6, 0): {0: 100000}, ('Category Pair', 6, 1): {0: 1541, 10: 98459}, ('Category Pair', 6, 2): {0: 23, 10: 99977}, ('Category Pair', 6, 3): {10: 100000}, ('Category Pair', 6, 4): {10: 100000}, ('Category Pair', 6, 5): {10: 100000}, ('Category Pair', 6, 6): {10: 100000}, ('Category Pair', 6, 7): {10: 100000}, ('Category Pair', 6, 8): {10: 100000}, ('Category Pair', 7, 0): {0: 100000}, ('Category Pair', 7, 1): {10: 100000}, ('Category Pair', 7, 2): {10: 100000}, ('Category Pair', 7, 3): {10: 100000}, ('Category Pair', 7, 4): {10: 100000}, ('Category Pair', 7, 5): {10: 100000}, ('Category Pair', 7, 6): {10: 100000}, ('Category Pair', 7, 7): {10: 100000}, ('Category Pair', 7, 8): {10: 100000}, ('Category Pair', 8, 0): {0: 100000}, ('Category Pair', 8, 1): {10: 100000}, ('Category Pair', 8, 2): {10: 100000}, ('Category Pair', 8, 3): {10: 100000}, ('Category Pair', 8, 4): {10: 100000}, ('Category Pair', 8, 5): {10: 100000}, ('Category Pair', 8, 6): {10: 100000}, ('Category Pair', 8, 7): {10: 100000}, ('Category Pair', 8, 8): {10: 100000}, ('Category Three of a Kind', 0, 0): {0: 100000}, ('Category Three of a Kind', 0, 1): {0: 100000}, ('Category Three of a Kind', 0, 2): {0: 100000}, ('Category Three of a Kind', 0, 3): {0: 100000}, ('Category Three of a Kind', 0, 4): {0: 100000}, ('Category Three of a Kind', 0, 5): {0: 100000}, ('Category Three of a Kind', 0, 6): {0: 100000}, ('Category Three of a Kind', 0, 7): {0: 100000}, ('Category Three of a Kind', 0, 8): {0: 100000}, ('Category Three of a Kind', 1, 0): {0: 100000}, ('Category Three of a Kind', 1, 1): {0: 100000}, ('Category Three of a Kind', 1, 2): {0: 100000}, ('Category Three of a Kind', 1, 3): {0: 100000}, ('Category Three of a Kind', 1, 4): {0: 100000}, ('Category Three of a Kind', 1, 5): {0: 100000}, ('Category Three of a Kind', 1, 6): {0: 100000}, ('Category Three of a Kind', 1, 7): {0: 100000}, ('Category Three of a Kind', 1, 8): {0: 100000}, ('Category Three of a Kind', 2, 0): {0: 100000}, ('Category Three of a Kind', 2, 1): {0: 100000}, ('Category Three of a Kind', 2, 2): {0: 100000}, ('Category Three of a Kind', 2, 3): {0: 100000}, ('Category Three of a Kind', 2, 4): {0: 100000}, ('Category Three of a Kind', 2, 5): {0: 100000}, ('Category Three of a Kind', 2, 6): {0: 100000}, ('Category Three of a Kind', 2, 7): {0: 100000}, ('Category Three of a Kind', 2, 8): {0: 100000}, ('Category Three of a Kind', 3, 0): {0: 100000}, ('Category Three of a Kind', 3, 1): {0: 97222, 20: 2778}, ('Category Three of a Kind', 3, 2): {0: 88880, 20: 11120}, ('Category Three of a Kind', 3, 3): {0: 78187, 20: 21813}, ('Category Three of a Kind', 3, 4): {0: 67476, 20: 32524}, ('Category Three of a Kind', 3, 5): {0: 57476, 20: 42524}, ('Category Three of a Kind', 3, 6): {0: 48510, 20: 51490}, ('Category Three of a Kind', 3, 7): {0: 40921, 20: 59079}, ('Category Three of a Kind', 3, 8): {0: 34533, 20: 65467}, ('Category Three of a Kind', 4, 0): {0: 100000}, ('Category Three of a Kind', 4, 1): {0: 90316, 20: 9684}, ('Category Three of a Kind', 4, 2): {0: 68401, 20: 31599}, ('Category Three of a Kind', 4, 3): {0: 49383, 20: 50617}, ('Category Three of a Kind', 4, 4): {0: 34399, 20: 65601}, ('Category Three of a Kind', 4, 5): {0: 24154, 20: 75846}, ('Category Three of a Kind', 4, 6): {0: 16802, 20: 83198}, ('Category Three of a Kind', 4, 7): {0: 11623, 20: 88377}, ('Category Three of a Kind', 4, 8): {0: 8105, 20: 91895}, ('Category Three of a Kind', 5, 0): {0: 100000}, ('Category Three of a Kind', 5, 1): {0: 78629, 20: 21371}, ('Category Three of a Kind', 5, 2): {0: 46013, 20: 53987}, ('Category Three of a Kind', 5, 3): {0: 25698, 20: 74302}, ('Category Three of a Kind', 5, 4): {0: 14205, 20: 85795}, ('Category Three of a Kind', 5, 5): {0: 7932, 20: 92068}, ('Category Three of a Kind', 5, 6): {0: 4357, 20: 95643}, ('Category Three of a Kind', 5, 7): {0: 2432, 20: 97568}, ('Category Three of a Kind', 5, 8): {0: 1378, 20: 98622}, ('Category Three of a Kind', 6, 0): {0: 100000}, ('Category Three of a Kind', 6, 1): {0: 63231, 20: 36769}, ('Category Three of a Kind', 6, 2): {0: 26818, 20: 73182}, ('Category Three of a Kind', 6, 3): {0: 11075, 20: 88925}, ('Category Three of a Kind', 6, 4): {0: 4749, 20: 95251}, ('Category Three of a Kind', 6, 5): {0: 1982, 20: 98018}, ('Category Three of a Kind', 6, 6): {0: 827, 20: 99173}, ('Category Three of a Kind', 6, 7): {0: 358, 20: 99642}, ('Category Three of a Kind', 6, 8): {0: 146, 20: 99854}, ('Category Three of a Kind', 7, 0): {0: 100000}, ('Category Three of a Kind', 7, 1): {0: 45975, 20: 54025}, ('Category Three of a Kind', 7, 2): {0: 13207, 20: 86793}, ('Category Three of a Kind', 7, 3): {0: 3727, 20: 96273}, ('Category Three of a Kind', 7, 4): {0: 1097, 20: 98903}, ('Category Three of a Kind', 7, 5): {0: 313, 20: 99687}, ('Category Three of a Kind', 7, 6): {0: 96, 20: 99904}, ('Category Three of a Kind', 7, 7): {0: 22, 20: 99978}, ('Category Three of a Kind', 7, 8): {0: 8, 20: 99992}, ('Category Three of a Kind', 8, 0): {0: 100000}, ('Category Three of a Kind', 8, 1): {0: 29316, 20: 70684}, ('Category Three of a Kind', 8, 2): {0: 5027, 20: 94973}, ('Category Three of a Kind', 8, 3): {0: 857, 20: 99143}, ('Category Three of a Kind', 8, 4): {0: 162, 20: 99838}, ('Category Three of a Kind', 8, 5): {0: 25, 20: 99975}, ('Category Three of a Kind', 8, 6): {0: 4, 20: 99996}, ('Category Three of a Kind', 8, 7): {0: 1, 20: 99999}, ('Category Three of a Kind', 8, 8): {20: 100000}, ('Category Four of a Kind', 0, 0): {0: 100000}, ('Category Four of a Kind', 0, 1): {0: 100000}, ('Category Four of a Kind', 0, 2): {0: 100000}, ('Category Four of a Kind', 0, 3): {0: 100000}, ('Category Four of a Kind', 0, 4): {0: 100000}, ('Category Four of a Kind', 0, 5): {0: 100000}, ('Category Four of a Kind', 0, 6): {0: 100000}, ('Category Four of a Kind', 0, 7): {0: 100000}, ('Category Four of a Kind', 0, 8): {0: 100000}, ('Category Four of a Kind', 1, 0): {0: 100000}, ('Category Four of a Kind', 1, 1): {0: 100000}, ('Category Four of a Kind', 1, 2): {0: 100000}, ('Category Four of a Kind', 1, 3): {0: 100000}, ('Category Four of a Kind', 1, 4): {0: 100000}, ('Category Four of a Kind', 1, 5): {0: 100000}, ('Category Four of a Kind', 1, 6): {0: 100000}, ('Category Four of a Kind', 1, 7): {0: 100000}, ('Category Four of a Kind', 1, 8): {0: 100000}, ('Category Four of a Kind', 2, 0): {0: 100000}, ('Category Four of a Kind', 2, 1): {0: 100000}, ('Category Four of a Kind', 2, 2): {0: 100000}, ('Category Four of a Kind', 2, 3): {0: 100000}, ('Category Four of a Kind', 2, 4): {0: 100000}, ('Category Four of a Kind', 2, 5): {0: 100000}, ('Category Four of a Kind', 2, 6): {0: 100000}, ('Category Four of a Kind', 2, 7): {0: 100000}, ('Category Four of a Kind', 2, 8): {0: 100000}, ('Category Four of a Kind', 3, 0): {0: 100000}, ('Category Four of a Kind', 3, 1): {0: 100000}, ('Category Four of a Kind', 3, 2): {0: 100000}, ('Category Four of a Kind', 3, 3): {0: 100000}, ('Category Four of a Kind', 3, 4): {0: 100000}, ('Category Four of a Kind', 3, 5): {0: 100000}, ('Category Four of a Kind', 3, 6): {0: 100000}, ('Category Four of a Kind', 3, 7): {0: 100000}, ('Category Four of a Kind', 3, 8): {0: 100000}, ('Category Four of a Kind', 4, 0): {0: 100000}, ('Category Four of a Kind', 4, 1): {0: 99516, 30: 484}, ('Category Four of a Kind', 4, 2): {0: 96122, 30: 3878}, ('Category Four of a Kind', 4, 3): {0: 89867, 30: 10133}, ('Category Four of a Kind', 4, 4): {0: 81771, 30: 18229}, ('Category Four of a Kind', 4, 5): {0: 72893, 30: 27107}, ('Category Four of a Kind', 4, 6): {0: 64000, 30: 36000}, ('Category Four of a Kind', 4, 7): {0: 55921, 30: 44079}, ('Category Four of a Kind', 4, 8): {0: 48175, 30: 51825}, ('Category Four of a Kind', 5, 0): {0: 100000}, ('Category Four of a Kind', 5, 1): {0: 97938, 30: 2062}, ('Category Four of a Kind', 5, 2): {0: 86751, 30: 13249}, ('Category Four of a Kind', 5, 3): {0: 70886, 30: 29114}, ('Category Four of a Kind', 5, 4): {0: 54807, 30: 45193}, ('Category Four of a Kind', 5, 5): {0: 41729, 30: 58271}, ('Category Four of a Kind', 5, 6): {0: 30960, 30: 69040}, ('Category Four of a Kind', 5, 7): {0: 22207, 30: 77793}, ('Category Four of a Kind', 5, 8): {0: 16027, 30: 83973}, ('Category Four of a Kind', 6, 0): {0: 100000}, ('Category Four of a Kind', 6, 1): {0: 94810, 30: 5190}, ('Category Four of a Kind', 6, 2): {0: 73147, 30: 26853}, ('Category Four of a Kind', 6, 3): {0: 49873, 30: 50127}, ('Category Four of a Kind', 6, 4): {0: 31913, 30: 68087}, ('Category 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15873, 6: 21959, 8: 8667, 9: 10180}, ('Category Twos and Threes', 4, 3): {0: 4538, 3: 22968, 5: 12541, 6: 26350, 8: 11445, 9: 14017, 10: 8141}, ('Category Twos and Threes', 4, 4): {0: 4402, 3: 12654, 5: 9096, 6: 26469, 8: 11841, 9: 22943, 11: 12595}, ('Category Twos and Threes', 4, 5): {0: 2065, 3: 14351, 6: 23592, 8: 11169, 9: 27693, 10: 8354, 12: 12776}, ('Category Twos and Threes', 4, 6): {0: 1044, 3: 9056, 6: 20013, 8: 9649, 9: 31606, 10: 9137, 12: 19495}, ('Category Twos and Threes', 4, 7): {0: 224, 2: 6086, 6: 15556, 7: 8465, 9: 34297, 11: 8601, 12: 26771}, ('Category Twos and Threes', 4, 8): {0: 3694, 6: 18611, 9: 34441, 11: 8379, 12: 34875}, ('Category Twos and Threes', 5, 1): {0: 13070, 2: 16414, 3: 16607, 4: 8172, 5: 16396, 6: 16417, 8: 12924}, ('Category Twos and Threes', 5, 2): {0: 5213, 2: 6515, 3: 17760, 5: 14763, 6: 22403, 8: 12090, 9: 12656, 11: 8600}, ('Category Twos and Threes', 5, 3): {0: 4707, 3: 10959, 5: 9700, 6: 21688, 8: 13214, 9: 20051, 11: 8066, 12: 11615}, ('Category Twos and Threes', 5, 4): {0: 1934, 3: 12081, 6: 17567, 8: 11579, 9: 23703, 11: 10468, 12: 14158, 13: 8510}, ('Category Twos and Threes', 5, 5): {0: 380, 2: 7025, 6: 13268, 8: 8829, 9: 24445, 11: 11126, 12: 22129, 14: 12798}, ('Category Twos and Threes', 5, 6): {0: 3745, 6: 15675, 9: 22902, 11: 10593, 12: 34072, 15: 13013}, ('Category Twos and Threes', 5, 7): {0: 1969, 6: 10700, 9: 19759, 11: 9332, 12: 30190, 13: 8654, 15: 19396}, ('Category Twos and Threes', 5, 8): {0: 13, 2: 7713, 9: 15520, 10: 8437, 12: 32501, 13: 8936, 15: 26880}, ('Category Twos and Threes', 6, 1): {0: 8955, 2: 13135, 3: 13212, 4: 8191, 5: 16659, 6: 10713, 7: 8276, 8: 8621, 9: 12238}, ('Category Twos and Threes', 6, 2): {0: 2944, 3: 16894, 5: 11978, 6: 20178, 8: 13344, 9: 11416, 10: 12708, 12: 10538}, ('Category Twos and Threes', 6, 3): {0: 2484, 3: 13120, 6: 15999, 8: 12211, 9: 20060, 11: 11208, 12: 13690, 14: 11228}, ('Category Twos and Threes', 6, 4): {0: 320, 2: 6913, 6: 10814, 8: 9036, 9: 19586, 11: 12021, 12: 19316, 14: 8216, 15: 13778}, ('Category Twos and Threes', 6, 5): {0: 3135, 6: 12202, 9: 16495, 11: 10563, 12: 23042, 14: 10049, 15: 16281, 17: 8233}, ('Category Twos and Threes', 6, 6): {0: 98, 3: 8409, 9: 12670, 11: 8492, 12: 23467, 14: 10649, 15: 27647, 18: 8568}, ('Category Twos and Threes', 6, 7): {0: 14, 2: 4631, 9: 15210, 12: 21906, 14: 10107, 15: 34014, 18: 14118}, ('Category Twos and Threes', 6, 8): {0: 2367, 9: 10679, 12: 18916, 14: 8991, 15: 29815, 16: 8799, 18: 20433}, ('Category Twos and Threes', 7, 1): {0: 5802, 2: 10380, 3: 17789, 5: 15384, 6: 11027, 7: 9559, 8: 10304, 9: 11306, 11: 8449}, ('Category Twos and Threes', 7, 2): {0: 4415, 3: 8457, 5: 9442, 6: 17093, 8: 13172, 9: 18066, 11: 9919, 12: 10454, 14: 8982}, ('Category Twos and Threes', 7, 3): {0: 471, 2: 8571, 6: 10929, 8: 10013, 9: 18045, 11: 12133, 12: 16767, 14: 14953, 16: 8118}, ('Category Twos and Threes', 7, 4): {0: 3487, 6: 12139, 9: 14001, 11: 11007, 12: 19307, 14: 10700, 15: 12396, 16: 8577, 18: 8386}, ('Category Twos and Threes', 7, 5): {0: 40, 2: 7460, 9: 9808, 11: 8026, 12: 18172, 14: 11317, 15: 20071, 17: 8259, 18: 16847}, ('Category Twos and Threes', 7, 6): {0: 3554, 9: 11611, 12: 15116, 14: 10114, 15: 22387, 17: 9948, 18: 17576, 20: 9694}, ('Category Twos and Threes', 7, 7): {0: 157, 6: 8396, 12: 10638, 13: 9242, 15: 22333, 17: 10123, 18: 28998, 21: 10113}, ('Category Twos and Threes', 7, 8): {0: 31, 5: 4682, 12: 14446, 15: 20934, 17: 9621, 18: 34506, 21: 15780}, ('Category Twos and Threes', 8, 1): {0: 3799, 2: 7917, 3: 14634, 5: 13610, 6: 10144, 7: 10309, 8: 18981, 10: 11990, 12: 8616}, ('Category Twos and Threes', 8, 2): {0: 902, 2: 5913, 4: 8447, 6: 13750, 8: 11961, 9: 17932, 11: 11041, 12: 8197, 13: 11532, 15: 10325}, ('Category Twos and Threes', 8, 3): {0: 2221, 4: 8122, 7: 9320, 9: 14414, 11: 11338, 12: 17189, 14: 10523, 15: 8898, 16: 9521, 18: 8454}, ('Category Twos and Threes', 8, 4): {0: 140, 3: 8344, 9: 9271, 11: 8286, 12: 16078, 14: 11359, 15: 17352, 17: 9133, 18: 10960, 20: 9077}, ('Category Twos and Threes', 8, 5): {0: 3601, 9: 10269, 12: 12458, 14: 9578, 15: 18439, 17: 10743, 18: 14072, 19: 9349, 21: 11491}, ('Category Twos and Threes', 8, 6): {0: 3, 2: 4101, 11: 10100, 13: 8442, 15: 16817, 17: 10618, 18: 20331, 20: 8749, 21: 12731, 22: 8108}, ('Category Twos and Threes', 8, 7): {0: 3336, 12: 10227, 15: 14149, 17: 8935, 18: 22220, 20: 9757, 21: 19568, 23: 11808}, ('Category Twos and Threes', 8, 8): {3: 7, 5: 7726, 15: 9640, 16: 8357, 18: 21517, 20: 10020, 21: 30621, 24: 12112}, ('Category Sum of Odds', 1, 1): {0: 50084, 1: 16488, 3: 16584, 5: 16844}, ('Category Sum of Odds', 1, 2): {0: 33472, 1: 11017, 3: 27886, 5: 27625}, ('Category Sum of Odds', 1, 3): {0: 27892, 1: 9293, 3: 23006, 5: 39809}, ('Category Sum of Odds', 1, 4): {0: 30917, 3: 19299, 5: 49784}, ('Category Sum of Odds', 1, 5): {0: 25892, 3: 15941, 5: 58167}, ('Category Sum of Odds', 1, 6): {0: 21678, 3: 13224, 5: 65098}, ('Category Sum of Odds', 1, 7): {0: 17840, 3: 11191, 5: 70969}, ('Category Sum of Odds', 1, 8): {0: 14690, 3: 9361, 5: 75949}, ('Category Sum of Odds', 2, 1): {0: 24611, 1: 19615, 3: 22234, 5: 16856, 6: 8312, 8: 8372}, ('Category Sum of Odds', 2, 2): {0: 11216, 1: 8605, 3: 24576, 5: 18558, 6: 13858, 8: 15414, 10: 7773}, ('Category Sum of Odds', 2, 3): {0: 13730, 3: 17055, 5: 22224, 6: 12709, 8: 18363, 10: 15919}, ('Category Sum of Odds', 2, 4): {0: 9599, 3: 11842, 5: 23132, 6: 11358, 8: 19129, 10: 24940}, ('Category Sum of Odds', 2, 5): {0: 6652, 3: 8296, 5: 22529, 6: 10020, 8: 18712, 10: 33791}, ('Category Sum of Odds', 2, 6): {0: 10404, 5: 20970, 6: 8852, 8: 17272, 10: 42502}, ('Category Sum of Odds', 2, 7): {0: 7262, 5: 26824, 8: 15860, 10: 50054}, ('Category Sum of Odds', 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618}, ('Category Sum of Odds', 3, 1): {0: 12467, 1: 16736, 3: 12861, 4: 8109, 5: 13902, 6: 15350, 8: 11660, 10: 8915}, ('Category Sum of Odds', 3, 2): {0: 8635, 3: 15579, 5: 10240, 6: 17409, 8: 15592, 9: 14993, 11: 9070, 13: 8482}, ('Category Sum of Odds', 3, 3): {0: 5022, 3: 9030, 5: 9729, 6: 13308, 8: 21631, 10: 13273, 11: 10759, 13: 11044, 15: 6204}, ('Category Sum of Odds', 3, 4): {0: 8260, 5: 8380, 6: 9575, 8: 18530, 10: 17343, 11: 11288, 13: 14216, 15: 12408}, ('Category Sum of Odds', 3, 5): {0: 4685, 5: 13863, 8: 14915, 10: 19378, 11: 10985, 13: 16370, 15: 19804}, ('Category Sum of Odds', 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 20496, 11: 10472, 13: 17133, 15: 27548}, ('Category Sum of Odds', 3, 7): {0: 543, 3: 8448, 8: 8659, 10: 20125, 11: 9495, 13: 16763, 15: 35967}, ('Category Sum of Odds', 3, 8): {0: 3760, 6: 8911, 10: 19242, 11: 8430, 13: 16221, 15: 43436}, ('Category Sum of Odds', 4, 1): {0: 6192, 1: 12678, 3: 9225, 4: 8433, 5: 11215, 6: 18550, 8: 9117, 9: 11764, 11: 12826}, ('Category Sum of Odds', 4, 2): {0: 7974, 4: 9562, 6: 14395, 8: 11060, 9: 16922, 11: 15953, 13: 13643, 15: 10491}, ('Category Sum of Odds', 4, 3): {0: 1778, 3: 8154, 6: 8780, 8: 16256, 10: 8843, 11: 15464, 13: 18030, 15: 14481, 18: 8214}, ('Category Sum of Odds', 4, 4): {0: 1862, 4: 8889, 8: 11182, 10: 8758, 11: 13239, 13: 19483, 15: 11453, 16: 9426, 18: 9512, 20: 6196}, ('Category Sum of Odds', 4, 5): {0: 5687, 7: 8212, 10: 8159, 11: 10515, 13: 17578, 15: 15171, 16: 10401, 18: 12704, 20: 11573}, ('Category Sum of Odds', 4, 6): {0: 6549, 9: 9058, 11: 8103, 13: 15290, 15: 17784, 16: 10571, 18: 14865, 20: 17780}, ('Category Sum of Odds', 4, 7): {0: 5048, 10: 11824, 13: 12343, 15: 19254, 16: 10290, 18: 15947, 20: 25294}, ('Category Sum of Odds', 4, 8): {0: 3060, 10: 8747, 13: 9912, 15: 19503, 16: 9512, 18: 16250, 20: 33016}, ('Category Sum of Odds', 5, 1): {0: 3061, 1: 8585, 3: 13493, 5: 8737, 6: 18198, 8: 8879, 9: 14795, 11: 15144, 14: 9108}, ('Category Sum of Odds', 5, 2): {0: 5813, 5: 8180, 7: 11117, 9: 14666, 11: 17165, 13: 8344, 14: 13337, 16: 10586, 18: 10792}, ('Category Sum of Odds', 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 13: 9355, 14: 14958, 16: 13969, 18: 8174, 19: 8246, 21: 8402}, ('Category Sum of Odds', 5, 4): {0: 4213, 8: 9656, 11: 9124, 13: 15075, 15: 8218, 16: 13970, 18: 16440, 20: 14313, 23: 8991}, ('Category Sum of Odds', 5, 5): {0: 4997, 10: 9128, 13: 11376, 15: 8283, 16: 12576, 18: 17548, 20: 11138, 21: 8982, 23: 9242, 25: 6730}, ('Category Sum of Odds', 5, 6): {0: 4581, 11: 8516, 14: 11335, 16: 10647, 18: 16866, 20: 14372, 21: 9884, 23: 11945, 25: 11854}, ('Category Sum of Odds', 5, 7): {0: 176, 6: 8052, 14: 9210, 16: 8325, 18: 14878, 20: 17146, 21: 10043, 23: 14100, 25: 18070}, ('Category Sum of Odds', 5, 8): {0: 2, 2: 6622, 15: 12097, 18: 12454, 20: 18491, 21: 9907, 23: 15254, 25: 25173}, ('Category Sum of Odds', 6, 1): {0: 1673, 1: 9961, 4: 12188, 6: 16257, 8: 8145, 9: 15764, 11: 13671, 13: 13125, 16: 9216}, ('Category Sum of Odds', 6, 2): {0: 1403, 4: 8241, 8: 9626, 10: 12525, 12: 14245, 14: 15279, 16: 8370, 17: 11320, 19: 8667, 21: 10324}, ('Category Sum of Odds', 6, 3): {0: 6079, 9: 10832, 12: 10094, 14: 13221, 16: 8872, 17: 13666, 19: 12673, 21: 15363, 24: 9200}, ('Category Sum of Odds', 6, 4): {0: 5771, 11: 9419, 14: 9943, 16: 12296, 18: 8483, 19: 14232, 21: 12847, 23: 12798, 25: 9237, 28: 4974}, ('Category Sum of Odds', 6, 5): {0: 2564, 11: 8518, 15: 9981, 17: 10772, 19: 14121, 21: 13179, 23: 15752, 25: 14841, 28: 10272}, ('Category Sum of Odds', 6, 6): {0: 4310, 14: 8668, 17: 8030, 19: 12861, 21: 12052, 23: 16882, 25: 11411, 26: 8543, 28: 9447, 30: 7796}, ('Category Sum of Odds', 6, 7): {0: 5233, 16: 8503, 19: 11127, 21: 10285, 23: 16141, 25: 14467, 26: 9526, 28: 12043, 30: 12675}, ('Category Sum of Odds', 6, 8): {0: 510, 12: 8107, 19: 8810, 21: 8203, 23: 14396, 25: 16723, 26: 10048, 28: 13964, 30: 19239}, ('Category Sum of Odds', 7, 1): {0: 2591, 2: 8436, 5: 11759, 7: 13733, 9: 15656, 11: 14851, 13: 12301, 15: 11871, 18: 8802}, ('Category Sum of Odds', 7, 2): {0: 4730, 8: 8998, 11: 10573, 13: 13099, 15: 13819, 17: 13594, 19: 12561, 21: 12881, 24: 9745}, ('Category Sum of Odds', 7, 3): {0: 2549, 9: 8523, 13: 8420, 15: 11146, 17: 12251, 19: 13562, 21: 13473, 23: 11918, 25: 8473, 27: 9685}, ('Category Sum of Odds', 7, 4): {0: 6776, 14: 9986, 17: 8988, 19: 11926, 21: 8147, 22: 12859, 24: 12685, 26: 10835, 28: 9199, 30: 8599}, ('Category Sum of Odds', 7, 5): {0: 2943, 14: 8009, 18: 8202, 20: 12046, 22: 11896, 24: 14166, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('Category Sum of Odds', 7, 6): {2: 1990, 15: 8986, 20: 9159, 22: 10039, 24: 13388, 26: 12513, 28: 15893, 30: 15831, 33: 7232, 35: 4969}, ('Category Sum of Odds', 7, 7): {4: 559, 14: 8153, 21: 11671, 24: 12064, 26: 11473, 28: 16014, 30: 11962, 31: 8823, 33: 10174, 35: 9107}, ('Category Sum of Odds', 7, 8): {0: 3, 8: 5190, 21: 8049, 24: 10585, 26: 9647, 28: 15608, 30: 14871, 31: 9462, 33: 12445, 35: 14140}, ('Category Sum of Odds', 8, 1): {0: 7169, 5: 8633, 7: 11129, 9: 14044, 11: 14858, 13: 13399, 15: 10801, 17: 11147, 20: 8820}, ('Category Sum of Odds', 8, 2): {0: 7745, 11: 10927, 14: 10849, 16: 13103, 18: 13484, 20: 12487, 22: 10815, 24: 11552, 27: 9038}, ('Category Sum of Odds', 8, 3): {0: 3867, 12: 9356, 16: 8465, 18: 10943, 20: 12379, 22: 12519, 24: 12260, 26: 11008, 28: 10726, 31: 8477}, ('Category Sum of Odds', 8, 4): {1: 3971, 15: 9176, 19: 8129, 21: 10603, 23: 12900, 25: 13405, 27: 11603, 29: 10400, 31: 8537, 33: 11276}, ('Category Sum of Odds', 8, 5): {1: 490, 12: 8049, 20: 9682, 23: 10177, 25: 12856, 27: 12369, 29: 12781, 31: 8385, 32: 9644, 34: 11315, 38: 4252}, ('Category Sum of Odds', 8, 6): {4: 86, 11: 8038, 22: 9157, 25: 10729, 27: 11053, 29: 13606, 31: 12383, 33: 14068, 35: 12408, 38: 8472}, ('Category Sum of Odds', 8, 7): {6: 1852, 20: 8020, 25: 8325, 27: 9130, 29: 12898, 31: 12181, 33: 15650, 35: 17577, 38: 8073, 40: 6294}, ('Category Sum of Odds', 8, 8): {4: 8, 11: 8008, 26: 10314, 29: 11446, 31: 10714, 33: 16060, 35: 12876, 36: 8889, 38: 10622, 40: 11063}, ('Category Sum of Evens', 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, ('Category Sum of Evens', 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, ('Category Sum of Evens', 1, 3): {0: 22259, 2: 7317, 4: 35040, 6: 35384}, ('Category Sum of Evens', 1, 4): {0: 18511, 2: 6233, 4: 29418, 6: 45838}, ('Category Sum of Evens', 1, 5): {0: 15428, 2: 5146, 4: 24510, 6: 54916}, ('Category Sum of Evens', 1, 6): {0: 12927, 2: 4255, 4: 20115, 6: 62703}, ('Category Sum of Evens', 1, 7): {0: 14152, 4: 17087, 6: 68761}, ('Category Sum of Evens', 1, 8): {0: 11920, 4: 14227, 6: 73853}, ('Category Sum of Evens', 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 8: 8263, 10: 8438}, ('Category Sum of Evens', 2, 2): {0: 11179, 2: 7503, 4: 19661, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, ('Category Sum of Evens', 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, ('Category Sum of Evens', 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, ('Category Sum of Evens', 2, 5): {0: 3991, 4: 7910, 6: 19247, 8: 11641, 10: 26842, 12: 30369}, ('Category Sum of Evens', 2, 6): {0: 2741, 4: 5313, 6: 17810, 8: 9468, 10: 25582, 12: 39086}, ('Category Sum of Evens', 2, 7): {0: 1122, 2: 4573, 6: 15965, 8: 7645, 10: 23307, 12: 47388}, ('Category Sum of Evens', 2, 8): {0: 3950, 6: 14006, 8: 6462, 10: 20879, 12: 54703}, ('Category Sum of Evens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 12: 7524, 14: 4668}, ('Category Sum of Evens', 3, 2): {0: 7404, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 14: 8937, 16: 8548}, ('Category Sum of Evens', 3, 3): {0: 2176, 4: 5572, 6: 8576, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 12864, 18: 4316}, ('Category Sum of Evens', 3, 4): {0: 4556, 6: 6844, 8: 8218, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('Category Sum of Evens', 3, 5): {0: 2575, 6: 5105, 8: 5720, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, ('Category Sum of Evens', 3, 6): {0: 1475, 6: 7528, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, ('Category Sum of Evens', 3, 7): {0: 862, 6: 5321, 10: 8145, 12: 18146, 14: 10985, 16: 24254, 18: 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22: 21947, 24: 22395}, ('Category Sum of Evens', 4, 8): {0: 1798, 12: 6781, 16: 8943, 18: 18203, 20: 11505, 22: 23056, 24: 29714}, ('Category Sum of Evens', 5, 1): {0: 3192, 2: 5181, 4: 8648, 6: 13373, 8: 13964, 10: 14656, 12: 13468, 14: 10245, 16: 7574, 18: 4873, 20: 4826}, ('Category Sum of Evens', 5, 2): {0: 3217, 6: 4054, 8: 6336, 10: 9910, 12: 12184, 14: 13824, 16: 14674, 18: 12124, 20: 9742, 22: 6877, 24: 7058}, ('Category Sum of Evens', 5, 3): {0: 3904, 10: 4446, 12: 6558, 14: 10339, 16: 13128, 18: 14686, 20: 15282, 22: 13294, 24: 9361, 26: 9002}, ('Category Sum of Evens', 5, 4): {0: 43, 4: 4025, 12: 4093, 14: 6555, 16: 10437, 18: 12724, 20: 14710, 22: 16005, 24: 12896, 26: 9761, 28: 8751}, ('Category Sum of Evens', 5, 5): {0: 350, 8: 4392, 14: 4006, 16: 7635, 18: 10297, 20: 12344, 22: 16826, 24: 15490, 26: 12235, 28: 11323, 30: 5102}, ('Category Sum of Evens', 5, 6): {0: 374, 10: 4670, 16: 5274, 18: 8224, 20: 9688, 22: 16041, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, 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75160}, + ("Category 1-2-1 Consecutive", 7, 3): {0: 15102, 30: 84898}, + ("Category 1-2-1 Consecutive", 7, 4): {0: 10541, 30: 89459}, + ("Category 1-2-1 Consecutive", 7, 5): {0: 7720, 30: 92280}, + ("Category 1-2-1 Consecutive", 7, 6): {0: 5554, 30: 94446}, + ("Category 1-2-1 Consecutive", 7, 7): {0: 4106, 30: 95894}, + ("Category 1-2-1 Consecutive", 7, 8): {0: 3025, 30: 96975}, + ("Category 1-2-1 Consecutive", 8, 1): {0: 40693, 30: 59307}, + ("Category 1-2-1 Consecutive", 8, 2): {0: 14827, 30: 85173}, + ("Category 1-2-1 Consecutive", 8, 3): {0: 8195, 30: 91805}, + ("Category 1-2-1 Consecutive", 8, 4): {0: 5383, 30: 94617}, + ("Category 1-2-1 Consecutive", 8, 5): {0: 3395, 30: 96605}, + ("Category 1-2-1 Consecutive", 8, 6): {0: 2299, 30: 97701}, + ("Category 1-2-1 Consecutive", 8, 7): {0: 1412, 30: 98588}, + ("Category 1-2-1 Consecutive", 8, 8): {0: 872, 30: 99128}, + ("Category Three Distinct Dice", 1, 1): {0: 100000}, + ("Category Three Distinct Dice", 1, 2): {0: 100000}, + ("Category Three Distinct Dice", 1, 3): {0: 100000}, + ("Category Three Distinct Dice", 1, 4): {0: 100000}, + ("Category Three Distinct Dice", 1, 5): {0: 100000}, + ("Category Three Distinct Dice", 1, 6): {0: 100000}, + ("Category Three Distinct Dice", 1, 7): {0: 100000}, + ("Category Three Distinct Dice", 1, 8): {0: 100000}, + ("Category Three Distinct Dice", 2, 1): {0: 100000}, + ("Category Three Distinct Dice", 2, 2): {0: 100000}, + ("Category Three Distinct Dice", 2, 3): {0: 100000}, + ("Category Three Distinct Dice", 2, 4): {0: 100000}, + ("Category Three Distinct Dice", 2, 5): {0: 100000}, + ("Category Three Distinct Dice", 2, 6): {0: 100000}, + ("Category Three Distinct Dice", 2, 7): {0: 100000}, + ("Category Three Distinct Dice", 2, 8): {0: 100000}, + ("Category Three Distinct Dice", 3, 1): {0: 44707, 20: 55293}, + ("Category Three Distinct Dice", 3, 2): {0: 15078, 20: 84922}, + ("Category Three Distinct Dice", 3, 3): {0: 5056, 20: 94944}, + ("Category Three Distinct Dice", 3, 4): {0: 1688, 20: 98312}, + ("Category Three Distinct Dice", 3, 5): {0: 516, 20: 99484}, + ("Category Three Distinct Dice", 3, 6): {0: 182, 20: 99818}, + ("Category Three Distinct Dice", 3, 7): {0: 56, 20: 99944}, + ("Category Three Distinct Dice", 3, 8): {0: 15, 20: 99985}, + ("Category Three Distinct Dice", 4, 1): {0: 16721, 20: 83279}, + ("Category Three Distinct Dice", 4, 2): {0: 1826, 20: 98174}, + ("Category Three Distinct Dice", 4, 3): {0: 203, 20: 99797}, + ("Category Three Distinct Dice", 4, 4): {0: 18, 20: 99982}, + ("Category Three Distinct Dice", 4, 5): {0: 3, 20: 99997}, + ("Category Three Distinct Dice", 4, 6): {20: 100000}, + ("Category Three Distinct Dice", 4, 7): {20: 100000}, + ("Category Three Distinct Dice", 4, 8): {20: 100000}, + ("Category Three Distinct Dice", 5, 1): {0: 5904, 20: 94096}, + ("Category Three Distinct Dice", 5, 2): {0: 236, 20: 99764}, + ("Category Three Distinct Dice", 5, 3): {0: 12, 20: 99988}, + ("Category Three Distinct Dice", 5, 4): {20: 100000}, + ("Category Three Distinct Dice", 5, 5): {20: 100000}, + ("Category Three Distinct Dice", 5, 6): {20: 100000}, + ("Category Three Distinct Dice", 5, 7): {20: 100000}, + ("Category Three Distinct Dice", 5, 8): {20: 100000}, + ("Category Three Distinct Dice", 6, 1): {0: 1992, 20: 98008}, + ("Category Three Distinct Dice", 6, 2): {0: 21, 20: 99979}, + ("Category Three Distinct Dice", 6, 3): {20: 100000}, + ("Category Three Distinct Dice", 6, 4): {20: 100000}, + ("Category Three Distinct Dice", 6, 5): {20: 100000}, + ("Category Three Distinct Dice", 6, 6): {20: 100000}, + ("Category Three Distinct Dice", 6, 7): {20: 100000}, + ("Category Three Distinct Dice", 6, 8): {20: 100000}, + ("Category Three Distinct Dice", 7, 1): {0: 692, 20: 99308}, + ("Category Three Distinct Dice", 7, 2): {0: 4, 20: 99996}, + ("Category Three Distinct Dice", 7, 3): {20: 100000}, + ("Category Three Distinct Dice", 7, 4): {20: 100000}, + ("Category Three Distinct Dice", 7, 5): {20: 100000}, + ("Category Three Distinct Dice", 7, 6): {20: 100000}, + ("Category Three Distinct Dice", 7, 7): {20: 100000}, + ("Category Three Distinct Dice", 7, 8): {20: 100000}, + ("Category Three Distinct Dice", 8, 1): {0: 243, 20: 99757}, + ("Category Three Distinct Dice", 8, 2): {0: 1, 20: 99999}, + ("Category Three Distinct Dice", 8, 3): {20: 100000}, + ("Category Three Distinct Dice", 8, 4): {20: 100000}, + ("Category Three Distinct Dice", 8, 5): {20: 100000}, + ("Category Three Distinct Dice", 8, 6): {20: 100000}, + ("Category Three Distinct Dice", 8, 7): {20: 100000}, + ("Category Three Distinct Dice", 8, 8): {20: 100000}, + ("Category Two Pair", 1, 1): {0: 100000}, + ("Category Two Pair", 1, 2): {0: 100000}, + ("Category Two Pair", 1, 3): {0: 100000}, + ("Category Two Pair", 1, 4): {0: 100000}, + ("Category Two Pair", 1, 5): {0: 100000}, + ("Category Two Pair", 1, 6): {0: 100000}, + ("Category Two Pair", 1, 7): {0: 100000}, + ("Category Two Pair", 1, 8): {0: 100000}, + ("Category Two Pair", 2, 1): {0: 100000}, + ("Category Two Pair", 2, 2): {0: 100000}, + ("Category Two Pair", 2, 3): {0: 100000}, + ("Category Two Pair", 2, 4): {0: 100000}, + ("Category Two Pair", 2, 5): {0: 100000}, + ("Category Two Pair", 2, 6): {0: 100000}, + ("Category Two Pair", 2, 7): {0: 100000}, + ("Category Two Pair", 2, 8): {0: 100000}, + ("Category Two Pair", 3, 1): {0: 100000}, + ("Category Two Pair", 3, 2): {0: 100000}, + ("Category Two Pair", 3, 3): {0: 100000}, + ("Category Two Pair", 3, 4): {0: 100000}, + ("Category Two Pair", 3, 5): {0: 100000}, + ("Category Two Pair", 3, 6): {0: 100000}, + ("Category Two Pair", 3, 7): {0: 100000}, + ("Category Two Pair", 3, 8): {0: 100000}, + ("Category Two Pair", 4, 1): {0: 93065, 30: 6935}, + ("Category Two Pair", 4, 2): {0: 82102, 30: 17898}, + ("Category Two Pair", 4, 3): {0: 71209, 30: 28791}, + ("Category Two Pair", 4, 4): {0: 61609, 30: 38391}, + ("Category Two Pair", 4, 5): {0: 53036, 30: 46964}, + ("Category Two Pair", 4, 6): {0: 45705, 30: 54295}, + ("Category Two Pair", 4, 7): {0: 39398, 30: 60602}, + ("Category Two Pair", 4, 8): {0: 33673, 30: 66327}, + ("Category Two Pair", 5, 1): {0: 72847, 30: 27153}, + ("Category Two Pair", 5, 2): {0: 46759, 30: 53241}, + ("Category Two Pair", 5, 3): {0: 29462, 30: 70538}, + ("Category Two Pair", 5, 4): {0: 18351, 30: 81649}, + ("Category Two Pair", 5, 5): {0: 11793, 30: 88207}, + ("Category Two Pair", 5, 6): {0: 7385, 30: 92615}, + ("Category Two Pair", 5, 7): {0: 4610, 30: 95390}, + ("Category Two Pair", 5, 8): {0: 2938, 30: 97062}, + ("Category Two Pair", 6, 1): {0: 44431, 30: 55569}, + ("Category Two Pair", 6, 2): {0: 17183, 30: 82817}, + ("Category Two Pair", 6, 3): {0: 6759, 30: 93241}, + ("Category Two Pair", 6, 4): {0: 2562, 30: 97438}, + ("Category Two Pair", 6, 5): {0: 948, 30: 99052}, + ("Category Two Pair", 6, 6): {0: 375, 30: 99625}, + ("Category Two Pair", 6, 7): {0: 138, 30: 99862}, + ("Category Two Pair", 6, 8): {0: 57, 30: 99943}, + ("Category Two Pair", 7, 1): {0: 19888, 30: 80112}, + ("Category Two Pair", 7, 2): {0: 3935, 30: 96065}, + ("Category Two Pair", 7, 3): {0: 801, 30: 99199}, + ("Category Two Pair", 7, 4): {0: 175, 30: 99825}, + ("Category Two Pair", 7, 5): {0: 31, 30: 99969}, + ("Category Two Pair", 7, 6): {0: 7, 30: 99993}, + ("Category Two Pair", 7, 7): {0: 2, 30: 99998}, + ("Category Two Pair", 7, 8): {30: 100000}, + ("Category Two Pair", 8, 1): {0: 6791, 30: 93209}, + ("Category Two Pair", 8, 2): {0: 588, 30: 99412}, + ("Category Two Pair", 8, 3): {0: 61, 30: 99939}, + ("Category Two Pair", 8, 4): {0: 6, 30: 99994}, + ("Category Two Pair", 8, 5): {30: 100000}, + ("Category Two Pair", 8, 6): {30: 100000}, + ("Category Two Pair", 8, 7): {30: 100000}, + ("Category Two Pair", 8, 8): {30: 100000}, + ("Category 2-1-2 Consecutive", 1, 1): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 2): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 3): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 4): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 5): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 6): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 7): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 8): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 1): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 2): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 3): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 4): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 5): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 6): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 7): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 8): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 1): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 2): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 3): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 4): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 5): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 6): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 7): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 8): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 1): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 2): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 3): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 4): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 5): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 6): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 7): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 8): {0: 100000}, + ("Category 2-1-2 Consecutive", 5, 1): {0: 98403, 40: 1597}, + ("Category 2-1-2 Consecutive", 5, 2): {0: 90651, 40: 9349}, + ("Category 2-1-2 Consecutive", 5, 3): {0: 80100, 40: 19900}, + ("Category 2-1-2 Consecutive", 5, 4): {0: 69131, 40: 30869}, + ("Category 2-1-2 Consecutive", 5, 5): {0: 58252, 40: 41748}, + ("Category 2-1-2 Consecutive", 5, 6): {0: 49405, 40: 50595}, + ("Category 2-1-2 Consecutive", 5, 7): {0: 41585, 40: 58415}, + ("Category 2-1-2 Consecutive", 5, 8): {0: 34952, 40: 65048}, + ("Category 2-1-2 Consecutive", 6, 1): {0: 93465, 40: 6535}, + ("Category 2-1-2 Consecutive", 6, 2): {0: 73416, 40: 26584}, + ("Category 2-1-2 Consecutive", 6, 3): {0: 54041, 40: 45959}, + ("Category 2-1-2 Consecutive", 6, 4): {0: 38535, 40: 61465}, + ("Category 2-1-2 Consecutive", 6, 5): {0: 27366, 40: 72634}, + ("Category 2-1-2 Consecutive", 6, 6): {0: 18924, 40: 81076}, + ("Category 2-1-2 Consecutive", 6, 7): {0: 13387, 40: 86613}, + ("Category 2-1-2 Consecutive", 6, 8): {0: 9134, 40: 90866}, + ("Category 2-1-2 Consecutive", 7, 1): {0: 84168, 40: 15832}, + ("Category 2-1-2 Consecutive", 7, 2): {0: 52659, 40: 47341}, + ("Category 2-1-2 Consecutive", 7, 3): {0: 30435, 40: 69565}, + ("Category 2-1-2 Consecutive", 7, 4): {0: 17477, 40: 82523}, + ("Category 2-1-2 Consecutive", 7, 5): {0: 9782, 40: 90218}, + ("Category 2-1-2 Consecutive", 7, 6): {0: 5316, 40: 94684}, + ("Category 2-1-2 Consecutive", 7, 7): {0: 2995, 40: 97005}, + ("Category 2-1-2 Consecutive", 7, 8): {0: 1689, 40: 98311}, + ("Category 2-1-2 Consecutive", 8, 1): {0: 71089, 40: 28911}, + ("Category 2-1-2 Consecutive", 8, 2): {0: 33784, 40: 66216}, + ("Category 2-1-2 Consecutive", 8, 3): {0: 14820, 40: 85180}, + ("Category 2-1-2 Consecutive", 8, 4): {0: 6265, 40: 93735}, + ("Category 2-1-2 Consecutive", 8, 5): {0: 2600, 40: 97400}, + ("Category 2-1-2 Consecutive", 8, 6): {0: 1155, 40: 98845}, + ("Category 2-1-2 Consecutive", 8, 7): {0: 487, 40: 99513}, + ("Category 2-1-2 Consecutive", 8, 8): {0: 190, 40: 99810}, + ("Category Five Distinct Dice", 1, 1): {0: 100000}, + ("Category Five Distinct Dice", 1, 2): {0: 100000}, + ("Category Five Distinct Dice", 1, 3): {0: 100000}, + ("Category Five Distinct Dice", 1, 4): {0: 100000}, + ("Category Five Distinct Dice", 1, 5): {0: 100000}, + ("Category Five Distinct Dice", 1, 6): {0: 100000}, + ("Category Five Distinct Dice", 1, 7): {0: 100000}, + ("Category Five Distinct Dice", 1, 8): {0: 100000}, + ("Category Five Distinct Dice", 2, 1): {0: 100000}, + ("Category Five Distinct Dice", 2, 2): {0: 100000}, + ("Category Five Distinct Dice", 2, 3): {0: 100000}, + ("Category Five Distinct Dice", 2, 4): {0: 100000}, + ("Category Five Distinct Dice", 2, 5): {0: 100000}, + ("Category Five Distinct Dice", 2, 6): {0: 100000}, + ("Category Five Distinct Dice", 2, 7): {0: 100000}, + ("Category Five Distinct Dice", 2, 8): {0: 100000}, + ("Category Five Distinct Dice", 3, 1): {0: 100000}, + ("Category Five Distinct Dice", 3, 2): {0: 100000}, + ("Category Five Distinct Dice", 3, 3): {0: 100000}, + ("Category Five Distinct Dice", 3, 4): {0: 100000}, + ("Category Five Distinct Dice", 3, 5): {0: 100000}, + ("Category Five Distinct Dice", 3, 6): {0: 100000}, + ("Category Five Distinct Dice", 3, 7): {0: 100000}, + ("Category Five Distinct Dice", 3, 8): {0: 100000}, + ("Category Five Distinct Dice", 4, 1): {0: 100000}, + ("Category Five Distinct Dice", 4, 2): {0: 100000}, + ("Category Five Distinct Dice", 4, 3): {0: 100000}, + ("Category Five Distinct Dice", 4, 4): {0: 100000}, + ("Category Five Distinct Dice", 4, 5): {0: 100000}, + ("Category Five Distinct Dice", 4, 6): {0: 100000}, + ("Category Five Distinct Dice", 4, 7): {0: 100000}, + ("Category Five Distinct Dice", 4, 8): {0: 100000}, + ("Category Five Distinct Dice", 5, 1): {0: 90907, 25: 9093}, + ("Category Five Distinct Dice", 5, 2): {0: 68020, 25: 31980}, + ("Category Five Distinct Dice", 5, 3): {0: 47692, 25: 52308}, + ("Category Five Distinct Dice", 5, 4): {0: 32383, 25: 67617}, + ("Category Five Distinct Dice", 5, 5): {0: 21631, 25: 78369}, + ("Category Five Distinct Dice", 5, 6): {0: 14366, 25: 85634}, + ("Category Five Distinct Dice", 5, 7): {0: 9568, 25: 90432}, + ("Category Five Distinct Dice", 5, 8): {0: 6360, 25: 93640}, + ("Category Five Distinct Dice", 6, 1): {0: 75051, 25: 24949}, + ("Category Five Distinct Dice", 6, 2): {0: 38409, 25: 61591}, + ("Category Five Distinct Dice", 6, 3): {0: 17505, 25: 82495}, + ("Category Five Distinct Dice", 6, 4): {0: 7862, 25: 92138}, + ("Category Five Distinct Dice", 6, 5): {0: 3538, 25: 96462}, + ("Category Five Distinct Dice", 6, 6): {0: 1645, 25: 98355}, + ("Category Five Distinct Dice", 6, 7): {0: 714, 25: 99286}, + ("Category Five Distinct Dice", 6, 8): {0: 341, 25: 99659}, + ("Category Five Distinct Dice", 7, 1): {0: 58588, 25: 41412}, + ("Category Five Distinct Dice", 7, 2): {0: 19487, 25: 80513}, + ("Category Five Distinct Dice", 7, 3): {0: 6043, 25: 93957}, + ("Category Five Distinct Dice", 7, 4): {0: 1799, 25: 98201}, + ("Category Five Distinct Dice", 7, 5): {0: 544, 25: 99456}, + ("Category Five Distinct Dice", 7, 6): {0: 169, 25: 99831}, + ("Category Five Distinct Dice", 7, 7): {0: 59, 25: 99941}, + ("Category Five Distinct Dice", 7, 8): {0: 11, 25: 99989}, + ("Category Five Distinct Dice", 8, 1): {0: 43586, 25: 56414}, + ("Category Five Distinct Dice", 8, 2): {0: 9615, 25: 90385}, + ("Category Five Distinct Dice", 8, 3): {0: 1944, 25: 98056}, + ("Category Five Distinct Dice", 8, 4): {0: 383, 25: 99617}, + ("Category Five Distinct Dice", 8, 5): {0: 77, 25: 99923}, + ("Category Five Distinct Dice", 8, 6): {0: 18, 25: 99982}, + ("Category Five Distinct Dice", 8, 7): {0: 3, 25: 99997}, + ("Category Five Distinct Dice", 8, 8): {0: 2, 25: 99998}, + ("Category 4&5 Full House", 1, 1): {0: 100000}, + ("Category 4&5 Full House", 1, 2): {0: 100000}, + ("Category 4&5 Full House", 1, 3): {0: 100000}, + ("Category 4&5 Full House", 1, 4): {0: 100000}, + ("Category 4&5 Full House", 1, 5): {0: 100000}, + ("Category 4&5 Full House", 1, 6): {0: 100000}, + ("Category 4&5 Full House", 1, 7): {0: 100000}, + ("Category 4&5 Full House", 1, 8): {0: 100000}, + ("Category 4&5 Full House", 2, 1): {0: 100000}, + ("Category 4&5 Full House", 2, 2): {0: 100000}, + ("Category 4&5 Full House", 2, 3): {0: 100000}, + ("Category 4&5 Full House", 2, 4): {0: 100000}, + ("Category 4&5 Full House", 2, 5): {0: 100000}, + ("Category 4&5 Full House", 2, 6): {0: 100000}, + ("Category 4&5 Full House", 2, 7): {0: 100000}, + ("Category 4&5 Full House", 2, 8): {0: 100000}, + ("Category 4&5 Full House", 3, 1): {0: 100000}, + ("Category 4&5 Full House", 3, 2): {0: 100000}, + ("Category 4&5 Full House", 3, 3): {0: 100000}, + ("Category 4&5 Full House", 3, 4): {0: 100000}, + ("Category 4&5 Full House", 3, 5): {0: 100000}, + ("Category 4&5 Full House", 3, 6): {0: 100000}, + ("Category 4&5 Full House", 3, 7): {0: 100000}, + ("Category 4&5 Full House", 3, 8): {0: 100000}, + ("Category 4&5 Full House", 4, 1): {0: 100000}, + ("Category 4&5 Full House", 4, 2): {0: 100000}, + ("Category 4&5 Full House", 4, 3): {0: 100000}, + ("Category 4&5 Full House", 4, 4): {0: 100000}, + ("Category 4&5 Full House", 4, 5): {0: 100000}, + ("Category 4&5 Full House", 4, 6): {0: 100000}, + ("Category 4&5 Full House", 4, 7): {0: 100000}, + ("Category 4&5 Full House", 4, 8): {0: 100000}, + ("Category 4&5 Full House", 5, 1): {0: 99724, 50: 276}, + ("Category 4&5 Full House", 5, 2): {0: 96607, 50: 3393}, + ("Category 4&5 Full House", 5, 3): {0: 88788, 50: 11212}, + ("Category 4&5 Full House", 5, 4): {0: 77799, 50: 22201}, + ("Category 4&5 Full House", 5, 5): {0: 65797, 50: 34203}, + ("Category 4&5 Full House", 5, 6): {0: 54548, 50: 45452}, + ("Category 4&5 Full House", 5, 7): {0: 44898, 50: 55102}, + ("Category 4&5 Full House", 5, 8): {0: 36881, 50: 63119}, + ("Category 4&5 Full House", 6, 1): {0: 98841, 50: 1159}, + ("Category 4&5 Full House", 6, 2): {0: 88680, 50: 11320}, + ("Category 4&5 Full House", 6, 3): {0: 70215, 50: 29785}, + ("Category 4&5 Full House", 6, 4): {0: 50801, 50: 49199}, + ("Category 4&5 Full House", 6, 5): {0: 35756, 50: 64244}, + ("Category 4&5 Full House", 6, 6): {0: 24698, 50: 75302}, + ("Category 4&5 Full House", 6, 7): {0: 17145, 50: 82855}, + ("Category 4&5 Full House", 6, 8): {0: 11846, 50: 88154}, + ("Category 4&5 Full House", 7, 1): {0: 97090, 50: 2910}, + ("Category 4&5 Full House", 7, 2): {0: 77440, 50: 22560}, + ("Category 4&5 Full House", 7, 3): {0: 51372, 50: 48628}, + ("Category 4&5 Full House", 7, 4): {0: 30566, 50: 69434}, + ("Category 4&5 Full House", 7, 5): {0: 17866, 50: 82134}, + ("Category 4&5 Full House", 7, 6): {0: 10521, 50: 89479}, + ("Category 4&5 Full House", 7, 7): {0: 6204, 50: 93796}, + ("Category 4&5 Full House", 7, 8): {0: 3670, 50: 96330}, + ("Category 4&5 Full House", 8, 1): {0: 94172, 50: 5828}, + ("Category 4&5 Full House", 8, 2): {0: 64693, 50: 35307}, + ("Category 4&5 Full House", 8, 3): {0: 35293, 50: 64707}, + ("Category 4&5 Full House", 8, 4): {0: 17749, 50: 82251}, + ("Category 4&5 Full House", 8, 5): {0: 8740, 50: 91260}, + ("Category 4&5 Full House", 8, 6): {0: 4550, 50: 95450}, + ("Category 4&5 Full House", 8, 7): {0: 2218, 50: 97782}, + ("Category 4&5 Full House", 8, 8): {0: 1084, 50: 98916}, +} diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index a9f4588f4a70..40e641b47507 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -301,7 +301,12 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added)) score_in_logic = dice_simulation_fill_pool( - self.itempool + self.precollected, self.frags_per_dice, self.frags_per_roll, self.possible_categories, self.difficulty, self.player + self.itempool + self.precollected, + self.frags_per_dice, + self.frags_per_roll, + self.possible_categories, + self.difficulty, + self.player, ) # if we overshoot, remove items until you get below 1000, then return the last removed item @@ -445,7 +450,14 @@ def set_rules(self): """ set rules per location, and add the rule for beating the game """ - set_yacht_rules(self.multiworld, self.player, self.frags_per_dice, self.frags_per_roll, self.possible_categories, self.difficulty) + set_yacht_rules( + self.multiworld, + self.player, + self.frags_per_dice, + self.frags_per_roll, + self.possible_categories, + self.difficulty, + ) set_yacht_completion_rules(self.multiworld, self.player) def fill_slot_data(self): From 36c1c8d3401ff37c99986080732a52d2f378e974 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 20 Jul 2024 23:06:30 +0200 Subject: [PATCH 106/127] Mostly minimize_extra_items improvements - Change logic, generation is now even faster (0.6s per default yaml). - Made the option 'minimize_extra_items' do a lot more, hopefully this makes the impact of Yacht Dice a little bit less, if you want that. Here's what is also does now: - you start with 2 dice and 2 rolls - there will be less locations/items at the start of you game --- worlds/yachtdice/Locations.py | 11 +- worlds/yachtdice/Options.py | 8 +- worlds/yachtdice/YachtWeights.py | 5411 +----------------------------- worlds/yachtdice/__init__.py | 57 +- 4 files changed, 57 insertions(+), 5430 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index d1fd691991c7..de71058995f9 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -28,7 +28,7 @@ def all_locations_fun(max_score): return {f"{i} score": LocData(starting_index + i, "Board", i) for i in range(1, max_score + 1)} -def ini_locations(goal_score, max_score, number_of_locations, dif): +def ini_locations(goal_score, max_score, number_of_locations, dif, skip_early_locations, number_of_players): """ function that loads in all locations necessary for the game, so based on options. will make sure that goal_score and max_score are included locations @@ -47,9 +47,16 @@ def ini_locations(goal_score, max_score, number_of_locations, dif): # and the next score will always be at least highest_score + 1 # note that current_score is at most max_score-1 highest_score = 0 + start_score = 0 + + if skip_early_locations: + scaling = 1.95 + if number_of_players > 2: + scaling = max(1.2, 2.2 - number_of_players * 0.1) + for i in range(number_of_locations - 1): percentage = i / number_of_locations - current_score = int(1 + (percentage**scaling) * (max_score - 2)) + current_score = int(start_score + 1 + (percentage**scaling) * (max_score - start_score - 2)) if current_score <= highest_score: current_score = highest_score + 1 highest_score = current_score diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index b0f8d3ff9623..07b759e4e6da 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -195,9 +195,11 @@ class PointsSize(Choice): class MinimizeExtraItems(Choice): """ Besides necessary items, Yacht Dice has extra useful/filler items in the item pool. - It is possible however to decrease the number of extra items in multiplayer games. - Do you want to reduce the number of extra items? - (this option only does something in multiplayer games) + It is possible however to decrease the number of locations and extra items. + This option will: + - decrease the number of locations at the start (you'll start with 2 dice and 2 rolls). + - will limit the number of dice/roll fragments per dice/roll to 2. + - in multiplayer games, it will reduce the number of filler items. """ display_name = "Minimize extra items" diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 5b01d11674e2..38ab14fcee12 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,5413 +6,4 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = { - ("Category Ones", 0, 0): {0: 100000}, - ("Category Ones", 0, 1): {0: 100000}, - ("Category Ones", 0, 2): {0: 100000}, - ("Category Ones", 0, 3): {0: 100000}, - ("Category Ones", 0, 4): {0: 100000}, - ("Category Ones", 0, 5): {0: 100000}, - ("Category Ones", 0, 6): {0: 100000}, - ("Category Ones", 0, 7): {0: 100000}, - ("Category Ones", 0, 8): {0: 100000}, - ("Category Ones", 1, 0): {0: 100000}, - ("Category Ones", 1, 1): {0: 83416, 1: 16584}, - ("Category Ones", 1, 2): {0: 69346, 1: 30654}, - ("Category Ones", 1, 3): {0: 57756, 1: 42244}, - ("Category Ones", 1, 4): {0: 48709, 1: 51291}, - ("Category Ones", 1, 5): {0: 40214, 1: 59786}, - ("Category Ones", 1, 6): {0: 33491, 1: 66509}, - ("Category Ones", 1, 7): {0: 27838, 1: 72162}, - ("Category Ones", 1, 8): {0: 23094, 1: 76906}, - ("Category Ones", 2, 0): {0: 100000}, - ("Category Ones", 2, 1): {0: 69715, 1: 30285}, - ("Category Ones", 2, 2): {0: 48066, 1: 42669, 2: 9265}, - ("Category Ones", 2, 3): {0: 33544, 1: 48585, 2: 17871}, - ("Category Ones", 2, 4): {0: 23342, 1: 50092, 2: 26566}, - ("Category Ones", 2, 5): {0: 16036, 1: 48250, 2: 35714}, - ("Category Ones", 2, 6): {0: 11355, 1: 44545, 2: 44100}, - ("Category Ones", 2, 7): {0: 7812, 1: 40248, 2: 51940}, - ("Category Ones", 2, 8): {0: 5395, 1: 35484, 2: 59121}, - ("Category Ones", 3, 0): {0: 100000}, - ("Category Ones", 3, 1): {0: 57462, 1: 42538}, - ("Category Ones", 3, 2): {0: 33327, 1: 44253, 2: 22420}, - ("Category Ones", 3, 3): {0: 19432, 1: 42237, 2: 38331}, - ("Category Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, - ("Category Ones", 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, - ("Category Ones", 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, - ("Category Ones", 3, 7): {0: 2134, 1: 16717, 2: 43782, 3: 37367}, - ("Category Ones", 3, 8): {0: 1280, 1: 12567, 2: 40951, 3: 45202}, - ("Category Ones", 4, 0): {0: 100000}, - ("Category Ones", 4, 1): {0: 48178, 1: 38635, 2: 13187}, - ("Category Ones", 4, 2): {0: 23349, 1: 40775, 2: 26967, 3: 8909}, - ("Category Ones", 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, - ("Category Ones", 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 34157}, - ("Category Ones", 4, 5): {0: 2640, 1: 15336, 2: 34536, 3: 34496, 4: 12992}, - ("Category Ones", 4, 6): {0: 1253, 1: 10073, 2: 29743, 3: 39298, 4: 19633}, - ("Category Ones", 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, - ("Category Ones", 4, 8): {0: 4228, 2: 19045, 3: 42267, 4: 34460}, - ("Category Ones", 5, 0): {0: 100000}, - ("Category Ones", 5, 1): {0: 40042, 1: 40202, 2: 19756}, - ("Category Ones", 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, - ("Category Ones", 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 24952, 4: 10435}, - ("Category Ones", 5, 4): {0: 2552, 1: 14157, 2: 30176, 3: 32048, 4: 21067}, - ("Category Ones", 5, 5): {0: 8783, 2: 23245, 3: 34614, 4: 33358}, - ("Category Ones", 5, 6): {0: 4513, 2: 16702, 3: 32901, 4: 32816, 5: 13068}, - ("Category Ones", 5, 7): {0: 2295, 2: 11497, 3: 28973, 4: 37869, 5: 19366}, - ("Category Ones", 5, 8): {0: 73, 1: 8476, 3: 24639, 4: 40166, 5: 26646}, - ("Category Ones", 6, 0): {0: 100000}, - ("Category Ones", 6, 1): {0: 33501, 1: 40042, 2: 26457}, - ("Category Ones", 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 26927}, - ("Category Ones", 6, 3): {0: 3764, 1: 16463, 2: 30197, 3: 28928, 4: 20648}, - ("Category Ones", 6, 4): {0: 1231, 1: 8093, 2: 21790, 3: 31038, 4: 25136, 5: 12712}, - ("Category Ones", 6, 5): {0: 4208, 2: 14029, 3: 27868, 4: 30878, 5: 23017}, - ("Category Ones", 6, 6): {0: 1850, 2: 8389, 3: 22007, 4: 33022, 5: 26133, 6: 8599}, - ("Category Ones", 6, 7): {0: 5503, 3: 16397, 4: 31702, 5: 32432, 6: 13966}, - ("Category Ones", 6, 8): {0: 2896, 3: 11500, 4: 28116, 5: 37005, 6: 20483}, - ("Category Ones", 7, 0): {0: 100000}, - ("Category Ones", 7, 1): {0: 27838, 1: 39224, 2: 23331, 3: 9607}, - ("Category Ones", 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, - ("Category Ones", 7, 3): {0: 2247, 1: 11142, 2: 24317, 3: 29131, 4: 21297, 5: 11866}, - ("Category Ones", 7, 4): {0: 5252, 2: 14787, 3: 26420, 4: 28065, 5: 25476}, - ("Category Ones", 7, 5): {0: 174, 1: 9680, 3: 19667, 4: 28867, 5: 26190, 6: 15422}, - ("Category Ones", 7, 6): {0: 4625, 3: 12915, 4: 25653, 5: 30596, 6: 26211}, - ("Category Ones", 7, 7): {0: 230, 2: 9745, 4: 20364, 5: 32077, 6: 27540, 7: 10044}, - ("Category Ones", 7, 8): {0: 5519, 4: 15425, 5: 30293, 6: 33357, 7: 15406}, - ("Category Ones", 8, 0): {0: 100000}, - ("Category Ones", 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, - ("Category Ones", 8, 2): {0: 5472, 1: 19058, 2: 29314, 3: 25847, 4: 20309}, - ("Category Ones", 8, 3): {0: 8661, 2: 18864, 3: 27032, 4: 24664, 5: 20779}, - ("Category Ones", 8, 4): {0: 2807, 2: 9318, 3: 20389, 4: 27157, 5: 23430, 6: 16899}, - ("Category Ones", 8, 5): {0: 5173, 3: 12395, 4: 23638, 5: 27792, 6: 20582, 7: 10420}, - ("Category Ones", 8, 6): {0: 255, 2: 8617, 4: 17025, 5: 27508, 6: 27112, 7: 19483}, - ("Category Ones", 8, 7): {0: 4236, 4: 11343, 5: 23980, 6: 30438, 7: 30003}, - ("Category Ones", 8, 8): {0: 310, 3: 8797, 5: 18895, 6: 30830, 7: 29143, 8: 12025}, - ("Category Twos", 0, 0): {0: 100000}, - ("Category Twos", 0, 1): {0: 100000}, - ("Category Twos", 0, 2): {0: 100000}, - ("Category Twos", 0, 3): {0: 100000}, - ("Category Twos", 0, 4): {0: 100000}, - ("Category Twos", 0, 5): {0: 100000}, - ("Category Twos", 0, 6): {0: 100000}, - ("Category Twos", 0, 7): {0: 100000}, - ("Category Twos", 0, 8): {0: 100000}, - ("Category Twos", 1, 0): {0: 100000}, - ("Category Twos", 1, 1): {0: 83475, 2: 16525}, - ("Category Twos", 1, 2): {0: 69690, 2: 30310}, - ("Category Twos", 1, 3): {0: 57818, 2: 42182}, - ("Category Twos", 1, 4): {0: 48418, 2: 51582}, - ("Category Twos", 1, 5): {0: 40301, 2: 59699}, - ("Category Twos", 1, 6): {0: 33558, 2: 66442}, - ("Category Twos", 1, 7): {0: 28182, 2: 71818}, - ("Category Twos", 1, 8): {0: 23406, 2: 76594}, - ("Category Twos", 2, 0): {0: 100000}, - ("Category Twos", 2, 1): {0: 69724, 2: 30276}, - ("Category Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, - ("Category Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, - ("Category Twos", 2, 4): {0: 23136, 2: 49957, 4: 26907}, - ("Category Twos", 2, 5): {0: 16146, 2: 48200, 4: 35654}, - ("Category Twos", 2, 6): {0: 11083, 2: 44497, 4: 44420}, - ("Category Twos", 2, 7): {0: 7662, 2: 40343, 4: 51995}, - ("Category Twos", 2, 8): {0: 5354, 2: 35526, 4: 59120}, - ("Category Twos", 3, 0): {0: 100000}, - ("Category Twos", 3, 1): {0: 58021, 2: 34522, 4: 7457}, - ("Category Twos", 3, 2): {0: 33548, 2: 44261, 4: 22191}, - ("Category Twos", 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, - ("Category Twos", 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, - ("Category Twos", 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, - ("Category Twos", 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, - ("Category Twos", 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, - ("Category Twos", 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, - ("Category Twos", 4, 0): {0: 100000}, - ("Category Twos", 4, 1): {0: 48235, 2: 38602, 4: 13163}, - ("Category Twos", 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, - ("Category Twos", 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, - ("Category Twos", 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, - ("Category Twos", 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, - ("Category Twos", 4, 6): {0: 1259, 2: 9910, 4: 29706, 6: 39523, 8: 19602}, - ("Category Twos", 4, 7): {0: 622, 2: 6323, 4: 24103, 6: 41894, 8: 27058}, - ("Category Twos", 4, 8): {0: 4091, 4: 18855, 6: 42309, 8: 34745}, - ("Category Twos", 5, 0): {0: 100000}, - ("Category Twos", 5, 1): {0: 40028, 2: 40241, 4: 19731}, - ("Category Twos", 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 17066}, - ("Category Twos", 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, - ("Category Twos", 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 20897}, - ("Category Twos", 5, 5): {0: 1032, 2: 7984, 4: 23643, 6: 33993, 8: 25853, 10: 7495}, - ("Category Twos", 5, 6): {0: 450, 2: 4152, 4: 16541, 6: 32774, 8: 32900, 10: 13183}, - ("Category Twos", 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, - ("Category Twos", 5, 8): {0: 1171, 4: 7571, 6: 23993, 8: 40798, 10: 26467}, - ("Category Twos", 6, 0): {0: 100000}, - ("Category Twos", 6, 1): {0: 33502, 2: 40413, 4: 19717, 6: 6368}, - ("Category Twos", 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, - ("Category Twos", 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 15825, 10: 5146}, - ("Category Twos", 6, 4): {0: 1243, 2: 8048, 4: 21977, 6: 31053, 8: 25066, 10: 12613}, - ("Category Twos", 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 18355, 12: 4637}, - ("Category Twos", 6, 6): {0: 1800, 4: 8455, 6: 22222, 8: 32692, 10: 26213, 12: 8618}, - ("Category Twos", 6, 7): {0: 775, 4: 4871, 6: 16142, 8: 31410, 10: 32532, 12: 14270}, - ("Category Twos", 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612}, - ("Category Twos", 7, 0): {0: 100000}, - ("Category Twos", 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683}, - ("Category Twos", 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286}, - ("Category Twos", 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787}, - ("Category Twos", 7, 4): {0: 564, 2: 4465, 4: 14571, 6: 26395, 8: 28409, 10: 18080, 12: 7516}, - ("Category Twos", 7, 5): {0: 1913, 4: 7911, 6: 19287, 8: 29039, 10: 26129, 12: 15721}, - ("Category Twos", 7, 6): {0: 54, 2: 4609, 6: 12897, 8: 25752, 10: 30413, 12: 20324, 14: 5951}, - ("Category Twos", 7, 7): {0: 2179, 6: 8007, 8: 20334, 10: 32054, 12: 27347, 14: 10079}, - ("Category Twos", 7, 8): {0: 942, 6: 4602, 8: 15233, 10: 30248, 12: 33276, 14: 15699}, - ("Category Twos", 8, 0): {0: 100000}, - ("Category Twos", 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383}, - ("Category Twos", 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 14198, 10: 6325}, - ("Category Twos", 8, 3): {0: 1271, 2: 7289, 4: 18793, 6: 27054, 8: 24712, 10: 14462, 12: 6419}, - ("Category Twos", 8, 4): {0: 2889, 4: 9310, 6: 20242, 8: 27389, 10: 23232, 12: 12609, 14: 4329}, - ("Category Twos", 8, 5): {0: 879, 4: 4184, 6: 12669, 8: 23322, 10: 27882, 12: 20768, 14: 10296}, - ("Category Twos", 8, 6): {0: 2041, 6: 6992, 8: 17148, 10: 27398, 12: 27048, 14: 19373}, - ("Category Twos", 8, 7): {0: 74, 4: 4214, 8: 11479, 10: 23675, 12: 30829, 14: 22454, 16: 7275}, - ("Category Twos", 8, 8): {2: 2053, 8: 6980, 10: 18697, 12: 31310, 14: 28983, 16: 11977}, - ("Category Threes", 0, 0): {0: 100000}, - ("Category Threes", 0, 1): {0: 100000}, - ("Category Threes", 0, 2): {0: 100000}, - ("Category Threes", 0, 3): {0: 100000}, - ("Category Threes", 0, 4): {0: 100000}, - ("Category Threes", 0, 5): {0: 100000}, - ("Category Threes", 0, 6): {0: 100000}, - ("Category Threes", 0, 7): {0: 100000}, - ("Category Threes", 0, 8): {0: 100000}, - ("Category Threes", 1, 0): {0: 100000}, - ("Category Threes", 1, 1): {0: 83343, 3: 16657}, - ("Category Threes", 1, 2): {0: 69569, 3: 30431}, - ("Category Threes", 1, 3): {0: 57872, 3: 42128}, - ("Category Threes", 1, 4): {0: 48081, 3: 51919}, - ("Category Threes", 1, 5): {0: 40271, 3: 59729}, - ("Category Threes", 1, 6): {0: 33201, 3: 66799}, - ("Category Threes", 1, 7): {0: 27903, 3: 72097}, - ("Category Threes", 1, 8): {0: 23240, 3: 76760}, - ("Category Threes", 2, 0): {0: 100000}, - ("Category Threes", 2, 1): {0: 69419, 3: 27798, 6: 2783}, - ("Category Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, - ("Category 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3): { - 2: 5113, - 5: 10402, - 7: 13487, - 8: 12296, - 9: 11489, - 10: 12684, - 11: 18510, - 12: 16019, - }, - ("Category Inverse Choice", 2, 4): { - 2: 1783, - 4: 8908, - 7: 11794, - 8: 11395, - 9: 10694, - 10: 11421, - 11: 19145, - 12: 24860, - }, - ("Category Inverse Choice", 2, 5): {2: 7575, 7: 10459, 8: 9985, 9: 9457, 10: 10101, 11: 18504, 12: 33919}, - ("Category Inverse Choice", 2, 6): {2: 5153, 7: 9329, 8: 8711, 9: 8343, 10: 8640, 11: 17310, 12: 42514}, - ("Category Inverse Choice", 2, 7): {2: 3638, 7: 15197, 9: 14988, 11: 15801, 12: 50376}, - ("Category Inverse Choice", 2, 8): {2: 2448, 7: 13306, 9: 12754, 11: 14067, 12: 57425}, - ("Category Inverse Choice", 3, 0): {0: 100000}, - ("Category Inverse Choice", 3, 1): { - 3: 4589, - 6: 11560, - 8: 9834, - 9: 11635, - 10: 12552, - 11: 12455, - 12: 11648, - 13: 16684, - 15: 9043, - }, - ("Category Inverse Choice", 3, 2): { - 3: 1380, - 6: 8622, - 9: 14417, - 11: 10449, - 12: 13008, - 13: 13398, - 14: 11409, - 15: 9806, - 16: 8963, - 17: 8548, - }, - ("Category Inverse Choice", 3, 3): { - 3: 1605, - 7: 9370, - 10: 13491, - 12: 10775, - 13: 13633, - 14: 12157, - 15: 10908, - 16: 10859, - 17: 17202, - }, - ("Category Inverse Choice", 3, 4): { - 3: 7212, - 10: 9977, - 12: 8677, - 13: 13346, - 14: 11945, - 15: 10762, - 16: 11330, - 17: 14452, - 18: 12299, - }, - ("Category Inverse Choice", 3, 5): { - 3: 7989, - 11: 10756, - 13: 12249, - 14: 11562, - 15: 10586, - 16: 11082, - 17: 16329, - 18: 19447, - }, - ("Category Inverse Choice", 3, 6): { - 3: 3251, - 10: 10272, - 13: 11050, - 14: 10603, - 15: 9701, - 16: 10252, - 17: 17096, - 18: 27775, - }, - ("Category Inverse Choice", 3, 7): {3: 1018, 9: 8591, 13: 9808, 14: 9250, 15: 9022, 16: 9459, 17: 17010, 18: 35842}, - ("Category Inverse Choice", 3, 8): {3: 6842, 13: 8621, 14: 8389, 15: 8108, 16: 8392, 17: 16142, 18: 43506}, - ("Category Inverse Choice", 4, 0): {0: 100000}, - ("Category Inverse Choice", 4, 1): { - 4: 5386, - 9: 10561, - 11: 8105, - 12: 9516, - 13: 10880, - 14: 11229, - 15: 10673, - 16: 9725, - 17: 14274, - 19: 9651, - }, - ("Category Inverse Choice", 4, 2): { - 4: 7510, - 12: 10646, - 14: 8110, - 15: 9539, - 16: 10496, - 17: 11349, - 18: 11247, - 19: 17705, - 21: 13398, - }, - ("Category Inverse Choice", 4, 3): { - 4: 2392, - 11: 8547, - 14: 13300, - 16: 8383, - 17: 9883, - 18: 11621, - 19: 11785, - 20: 9895, - 21: 15876, - 23: 8318, - }, - ("Category Inverse Choice", 4, 4): { - 4: 2258, - 12: 8230, - 15: 12216, - 17: 8169, - 18: 10557, - 19: 12760, - 20: 11157, - 21: 9541, - 22: 9333, - 23: 15779, - }, - ("Category Inverse Choice", 4, 5): { - 4: 2209, - 13: 8484, - 16: 11343, - 18: 9020, - 19: 12893, - 20: 11414, - 21: 10261, - 22: 10446, - 23: 12551, - 24: 11379, - }, - ("Category Inverse Choice", 4, 6): { - 4: 2179, - 14: 8704, - 17: 12056, - 19: 12054, - 20: 11246, - 21: 10350, - 22: 10306, - 23: 14883, - 24: 18222, - }, - ("Category Inverse Choice", 4, 7): { - 5: 7652, - 17: 9283, - 19: 11206, - 20: 10646, - 21: 9719, - 22: 10265, - 23: 15911, - 24: 25318, - }, - ("Category Inverse Choice", 4, 8): { - 5: 3231, - 16: 8958, - 19: 10211, - 20: 9548, - 21: 9030, - 22: 9596, - 23: 16241, - 24: 33185, - }, - ("Category Inverse Choice", 5, 0): {0: 100000}, - ("Category Inverse Choice", 5, 1): { - 5: 1575, - 10: 8293, - 13: 12130, - 15: 8305, - 16: 9529, - 17: 10211, - 18: 9956, - 19: 9571, - 20: 8205, - 21: 12367, - 23: 9858, - }, - ("Category Inverse Choice", 5, 2): { - 5: 3298, - 14: 10211, - 17: 13118, - 19: 8702, - 20: 9600, - 21: 9902, - 22: 10013, - 23: 9510, - 24: 14555, - 26: 11091, - }, - ("Category Inverse Choice", 5, 3): { - 6: 2633, - 15: 8316, - 18: 11302, - 20: 8079, - 21: 8990, - 22: 9536, - 23: 10122, - 24: 10309, - 25: 9165, - 26: 13088, - 28: 8460, - }, - ("Category Inverse Choice", 5, 4): { - 5: 4084, - 17: 9592, - 20: 13422, - 22: 8263, - 23: 9471, - 24: 10886, - 25: 11012, - 26: 9341, - 27: 14979, - 29: 8950, - }, - ("Category Inverse Choice", 5, 5): { - 6: 348, - 14: 8075, - 20: 10195, - 22: 14679, - 24: 10206, - 25: 12129, - 26: 10402, - 27: 9106, - 28: 8745, - 29: 16115, - }, - ("Category Inverse Choice", 5, 6): { - 7: 3204, - 19: 9258, - 22: 11859, - 24: 9077, - 25: 12335, - 26: 11056, - 27: 9839, - 28: 9678, - 29: 11896, - 30: 11798, - }, - ("Category Inverse Choice", 5, 7): { - 8: 2983, - 20: 9564, - 23: 12501, - 25: 11791, - 26: 10837, - 27: 9773, - 28: 10189, - 29: 14323, - 30: 18039, - }, - ("Category Inverse Choice", 5, 8): { - 9: 323, - 17: 8259, - 23: 9688, - 25: 11074, - 26: 10403, - 27: 9715, - 28: 9897, - 29: 15421, - 30: 25220, - }, - ("Category Inverse Choice", 6, 0): {0: 100000}, - ("Category Inverse Choice", 6, 1): { - 6: 6102, - 15: 8311, - 17: 13435, - 19: 8212, - 20: 8945, - 21: 9367, - 22: 9220, - 23: 15784, - 25: 11086, - 27: 9538, - }, - ("Category Inverse Choice", 6, 2): { - 8: 1504, - 16: 8676, - 20: 10032, - 22: 14673, - 24: 8800, - 25: 9290, - 26: 9222, - 27: 16609, - 29: 12133, - 31: 9061, - }, - ("Category Inverse Choice", 6, 3): { - 6: 1896, - 18: 8914, - 22: 10226, - 24: 14822, - 26: 8870, - 27: 9225, - 28: 9118, - 29: 9042, - 30: 8077, - 31: 11749, - 33: 8061, - }, - ("Category Inverse Choice", 6, 4): { - 9: 441, - 17: 8018, - 23: 8603, - 25: 13850, - 27: 8452, - 28: 8910, - 29: 9441, - 30: 9858, - 31: 9026, - 32: 13391, - 34: 10010, - }, - ("Category Inverse Choice", 6, 5): { - 10: 1788, - 21: 8763, - 25: 10319, - 27: 14763, - 29: 8850, - 30: 10288, - 31: 11006, - 32: 9067, - 33: 14812, - 35: 10344, - }, - ("Category Inverse Choice", 6, 6): { - 13: 876, - 21: 8303, - 26: 9813, - 28: 14273, - 30: 9632, - 31: 11682, - 32: 10420, - 33: 9115, - 34: 8614, - 35: 17272, - }, - ("Category Inverse Choice", 6, 7): { - 12: 3570, - 25: 9625, - 28: 11348, - 30: 8579, - 31: 11844, - 32: 10723, - 33: 9746, - 34: 9580, - 35: 12063, - 36: 12922, - }, - ("Category Inverse Choice", 6, 8): { - 12: 3450, - 26: 9544, - 29: 12230, - 31: 11529, - 32: 10601, - 33: 9674, - 34: 9888, - 35: 14109, - 36: 18975, - }, - ("Category Inverse Choice", 7, 0): {0: 100000}, - ("Category Inverse Choice", 7, 1): { - 7: 1237, - 15: 8100, - 19: 9820, - 21: 14127, - 23: 8119, - 24: 8658, - 25: 8584, - 26: 8246, - 27: 13940, - 29: 9736, - 31: 9433, - }, - ("Category Inverse Choice", 7, 2): { - 10: 2086, - 20: 8960, - 24: 9667, - 26: 13990, - 28: 8075, - 29: 8544, - 30: 8645, - 31: 15759, - 33: 12356, - 35: 11918, - }, - ("Category Inverse Choice", 7, 3): { - 10: 4980, - 24: 9637, - 27: 11247, - 29: 15046, - 31: 8536, - 32: 8692, - 33: 16264, - 35: 13130, - 37: 12468, - }, - ("Category Inverse Choice", 7, 4): { - 13: 2260, - 24: 8651, - 28: 9401, - 30: 13621, - 32: 8315, - 33: 8544, - 34: 8797, - 35: 8640, - 36: 8345, - 37: 12925, - 39: 10501, - }, - ("Category Inverse Choice", 7, 5): { - 12: 3879, - 27: 8154, - 30: 10292, - 32: 14692, - 34: 8605, - 35: 9013, - 36: 9807, - 37: 9314, - 38: 14282, - 40: 11962, - }, - ("Category Inverse Choice", 7, 6): { - 14: 1957, - 27: 8230, - 31: 9649, - 33: 14296, - 35: 8456, - 36: 9866, - 37: 10964, - 38: 9214, - 39: 15305, - 41: 12063, - }, - ("Category Inverse Choice", 7, 7): { - 16: 599, - 26: 8344, - 32: 9424, - 34: 13557, - 36: 9373, - 37: 11510, - 38: 10233, - 39: 9031, - 40: 8781, - 41: 10070, - 42: 9078, - }, - ("Category Inverse Choice", 7, 8): { - 14: 1, - 17: 3638, - 31: 8907, - 34: 10904, - 36: 8240, - 37: 11908, - 38: 10538, - 39: 9681, - 40: 9402, - 41: 12225, - 42: 14556, - }, - ("Category Inverse Choice", 8, 0): {0: 100000}, - ("Category Inverse Choice", 8, 1): { - 10: 752, - 17: 8385, - 22: 8721, - 24: 12739, - 26: 15361, - 28: 8093, - 29: 15420, - 31: 12710, - 33: 8800, - 35: 9019, - }, - ("Category Inverse Choice", 8, 2): { - 11: 5900, - 26: 10331, - 29: 11435, - 31: 14533, - 33: 8107, - 34: 15832, - 36: 13855, - 38: 10165, - 40: 9842, - }, - ("Category Inverse Choice", 8, 3): { - 12: 2241, - 26: 8099, - 30: 8456, - 32: 12018, - 34: 14786, - 36: 8217, - 37: 8047, - 38: 14876, - 40: 11751, - 42: 11509, - }, - ("Category Inverse Choice", 8, 4): { - 16: 1327, - 27: 8361, - 32: 8125, - 34: 11740, - 36: 15078, - 38: 8522, - 39: 8280, - 40: 15523, - 42: 12218, - 44: 10826, - }, - ("Category Inverse Choice", 8, 5): { - 16: 4986, - 32: 9031, - 35: 10214, - 37: 14528, - 39: 8295, - 40: 8603, - 41: 8710, - 42: 16131, - 44: 11245, - 46: 8257, - }, - ("Category Inverse Choice", 8, 6): { - 16: 2392, - 32: 8742, - 36: 9303, - 38: 13934, - 40: 8083, - 41: 8845, - 42: 9405, - 43: 9707, - 44: 8244, - 45: 12774, - 47: 8571, - }, - ("Category Inverse Choice", 8, 7): { - 20: 1130, - 32: 8231, - 37: 8931, - 39: 13206, - 41: 8066, - 42: 9590, - 43: 11127, - 44: 9360, - 45: 15861, - 47: 14498, - }, - ("Category Inverse Choice", 8, 8): { - 20: 73, - 28: 8033, - 38: 8745, - 40: 12925, - 42: 8984, - 43: 11631, - 44: 10176, - 45: 9102, - 46: 8827, - 47: 10686, - 48: 10818, - }, - ("Category Pair", 0, 0): {0: 100000}, - ("Category Pair", 0, 1): {0: 100000}, - ("Category Pair", 0, 2): {0: 100000}, - ("Category Pair", 0, 3): {0: 100000}, - ("Category Pair", 0, 4): {0: 100000}, - ("Category Pair", 0, 5): {0: 100000}, - ("Category Pair", 0, 6): {0: 100000}, - ("Category Pair", 0, 7): {0: 100000}, - ("Category Pair", 0, 8): {0: 100000}, - ("Category Pair", 1, 0): {0: 100000}, - ("Category Pair", 1, 1): {0: 100000}, - ("Category Pair", 1, 2): {0: 100000}, - ("Category Pair", 1, 3): {0: 100000}, - ("Category Pair", 1, 4): {0: 100000}, - ("Category Pair", 1, 5): {0: 100000}, - ("Category Pair", 1, 6): {0: 100000}, - ("Category Pair", 1, 7): {0: 100000}, - ("Category Pair", 1, 8): {0: 100000}, - ("Category Pair", 2, 0): {0: 100000}, - ("Category Pair", 2, 1): {0: 83388, 10: 16612}, - ("Category Pair", 2, 2): {0: 69422, 10: 30578}, - ("Category Pair", 2, 3): {0: 57830, 10: 42170}, - ("Category Pair", 2, 4): {0: 48195, 10: 51805}, - ("Category Pair", 2, 5): {0: 40117, 10: 59883}, - ("Category Pair", 2, 6): {0: 33286, 10: 66714}, - ("Category Pair", 2, 7): {0: 27917, 10: 72083}, - ("Category Pair", 2, 8): {0: 23354, 10: 76646}, - ("Category Pair", 3, 0): {0: 100000}, - ("Category Pair", 3, 1): {0: 55518, 10: 44482}, - ("Category Pair", 3, 2): {0: 30904, 10: 69096}, - ("Category Pair", 3, 3): {0: 17242, 10: 82758}, - ("Category Pair", 3, 4): {0: 9486, 10: 90514}, - ("Category Pair", 3, 5): {0: 5362, 10: 94638}, - ("Category Pair", 3, 6): {0: 2909, 10: 97091}, - ("Category Pair", 3, 7): {0: 1574, 10: 98426}, - ("Category Pair", 3, 8): {0: 902, 10: 99098}, - ("Category Pair", 4, 0): {0: 100000}, - ("Category Pair", 4, 1): {0: 27789, 10: 72211}, - ("Category Pair", 4, 2): {0: 7799, 10: 92201}, - ("Category Pair", 4, 3): {0: 2113, 10: 97887}, - ("Category Pair", 4, 4): {0: 601, 10: 99399}, - ("Category Pair", 4, 5): {0: 155, 10: 99845}, - ("Category Pair", 4, 6): {0: 43, 10: 99957}, - ("Category Pair", 4, 7): {0: 10, 10: 99990}, - ("Category Pair", 4, 8): {0: 3, 10: 99997}, - ("Category Pair", 5, 0): {0: 100000}, - ("Category Pair", 5, 1): {0: 9298, 10: 90702}, - ("Category Pair", 5, 2): {0: 863, 10: 99137}, - ("Category Pair", 5, 3): {0: 79, 10: 99921}, - ("Category Pair", 5, 4): {0: 2, 10: 99998}, - ("Category Pair", 5, 5): {0: 2, 10: 99998}, - ("Category Pair", 5, 6): {10: 100000}, - ("Category Pair", 5, 7): {10: 100000}, - ("Category Pair", 5, 8): {10: 100000}, - ("Category Pair", 6, 0): {0: 100000}, - ("Category Pair", 6, 1): {0: 1541, 10: 98459}, - ("Category Pair", 6, 2): {0: 23, 10: 99977}, - ("Category Pair", 6, 3): {10: 100000}, - ("Category Pair", 6, 4): {10: 100000}, - ("Category Pair", 6, 5): {10: 100000}, - ("Category Pair", 6, 6): {10: 100000}, - ("Category Pair", 6, 7): {10: 100000}, - ("Category Pair", 6, 8): {10: 100000}, - ("Category Pair", 7, 0): {0: 100000}, - ("Category Pair", 7, 1): {10: 100000}, - ("Category Pair", 7, 2): {10: 100000}, - ("Category Pair", 7, 3): {10: 100000}, - ("Category Pair", 7, 4): {10: 100000}, - ("Category Pair", 7, 5): {10: 100000}, - ("Category Pair", 7, 6): {10: 100000}, - ("Category Pair", 7, 7): {10: 100000}, - ("Category Pair", 7, 8): {10: 100000}, - ("Category Pair", 8, 0): {0: 100000}, - ("Category Pair", 8, 1): {10: 100000}, - ("Category Pair", 8, 2): {10: 100000}, - ("Category Pair", 8, 3): {10: 100000}, - ("Category Pair", 8, 4): {10: 100000}, - ("Category Pair", 8, 5): {10: 100000}, - ("Category Pair", 8, 6): {10: 100000}, - ("Category Pair", 8, 7): {10: 100000}, - ("Category Pair", 8, 8): {10: 100000}, - ("Category Three of a Kind", 0, 0): {0: 100000}, - ("Category Three of a Kind", 0, 1): {0: 100000}, - ("Category Three of a Kind", 0, 2): {0: 100000}, - ("Category Three of a Kind", 0, 3): {0: 100000}, - ("Category Three of a Kind", 0, 4): {0: 100000}, - ("Category Three of a Kind", 0, 5): {0: 100000}, - ("Category Three of a Kind", 0, 6): {0: 100000}, - ("Category Three of a Kind", 0, 7): {0: 100000}, - ("Category Three of a Kind", 0, 8): {0: 100000}, - ("Category Three of a Kind", 1, 0): {0: 100000}, - ("Category Three of a Kind", 1, 1): {0: 100000}, - ("Category Three of a Kind", 1, 2): {0: 100000}, - ("Category Three of a Kind", 1, 3): {0: 100000}, - ("Category Three of a Kind", 1, 4): {0: 100000}, - ("Category Three of a Kind", 1, 5): {0: 100000}, - ("Category Three of a Kind", 1, 6): {0: 100000}, - ("Category Three of a Kind", 1, 7): {0: 100000}, - ("Category Three of a Kind", 1, 8): {0: 100000}, - ("Category Three of a Kind", 2, 0): {0: 100000}, - ("Category Three of a Kind", 2, 1): {0: 100000}, - ("Category Three of a Kind", 2, 2): {0: 100000}, - ("Category Three of a Kind", 2, 3): {0: 100000}, - ("Category Three of a Kind", 2, 4): {0: 100000}, - ("Category Three of a Kind", 2, 5): {0: 100000}, - ("Category Three of a Kind", 2, 6): {0: 100000}, - ("Category Three of a Kind", 2, 7): {0: 100000}, - ("Category Three of a Kind", 2, 8): {0: 100000}, - ("Category Three of a Kind", 3, 0): {0: 100000}, - ("Category Three of a Kind", 3, 1): {0: 97222, 20: 2778}, - ("Category Three of a Kind", 3, 2): {0: 88880, 20: 11120}, - ("Category Three of a Kind", 3, 3): {0: 78187, 20: 21813}, - ("Category Three of a Kind", 3, 4): {0: 67476, 20: 32524}, - ("Category Three of a Kind", 3, 5): {0: 57476, 20: 42524}, - ("Category Three of a Kind", 3, 6): {0: 48510, 20: 51490}, - ("Category Three of a Kind", 3, 7): {0: 40921, 20: 59079}, - ("Category Three of a Kind", 3, 8): {0: 34533, 20: 65467}, - ("Category Three of a Kind", 4, 0): {0: 100000}, - ("Category Three of a Kind", 4, 1): {0: 90316, 20: 9684}, - ("Category Three of a Kind", 4, 2): {0: 68401, 20: 31599}, - ("Category Three of a Kind", 4, 3): {0: 49383, 20: 50617}, - ("Category Three of a Kind", 4, 4): {0: 34399, 20: 65601}, - ("Category Three of a Kind", 4, 5): {0: 24154, 20: 75846}, - ("Category Three of a Kind", 4, 6): {0: 16802, 20: 83198}, - ("Category Three of a Kind", 4, 7): {0: 11623, 20: 88377}, - ("Category Three of a Kind", 4, 8): {0: 8105, 20: 91895}, - ("Category Three of a Kind", 5, 0): {0: 100000}, - ("Category Three of a Kind", 5, 1): {0: 78629, 20: 21371}, - ("Category Three of a Kind", 5, 2): {0: 46013, 20: 53987}, - ("Category Three of a Kind", 5, 3): {0: 25698, 20: 74302}, - ("Category Three of a Kind", 5, 4): {0: 14205, 20: 85795}, - ("Category Three of a Kind", 5, 5): {0: 7932, 20: 92068}, - ("Category Three of a Kind", 5, 6): {0: 4357, 20: 95643}, - ("Category Three of a Kind", 5, 7): {0: 2432, 20: 97568}, - ("Category Three of a Kind", 5, 8): {0: 1378, 20: 98622}, - ("Category Three of a Kind", 6, 0): {0: 100000}, - ("Category Three of a Kind", 6, 1): {0: 63231, 20: 36769}, - ("Category Three of a Kind", 6, 2): {0: 26818, 20: 73182}, - ("Category Three of a Kind", 6, 3): {0: 11075, 20: 88925}, - ("Category Three of a Kind", 6, 4): {0: 4749, 20: 95251}, - ("Category Three of a Kind", 6, 5): {0: 1982, 20: 98018}, - ("Category Three of a Kind", 6, 6): {0: 827, 20: 99173}, - ("Category Three of a Kind", 6, 7): {0: 358, 20: 99642}, - ("Category Three of a Kind", 6, 8): {0: 146, 20: 99854}, - ("Category Three of a Kind", 7, 0): {0: 100000}, - ("Category Three of a Kind", 7, 1): {0: 45975, 20: 54025}, - ("Category Three of a Kind", 7, 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6): {0: 100000}, ('Category Pair', 0, 7): {0: 100000}, ('Category Pair', 0, 8): {0: 100000}, ('Category Pair', 1, 0): {0: 100000}, ('Category Pair', 1, 1): {0: 100000}, ('Category Pair', 1, 2): {0: 100000}, ('Category Pair', 1, 3): {0: 100000}, ('Category Pair', 1, 4): {0: 100000}, ('Category Pair', 1, 5): {0: 100000}, ('Category Pair', 1, 6): {0: 100000}, ('Category Pair', 1, 7): {0: 100000}, ('Category Pair', 1, 8): {0: 100000}, ('Category Pair', 2, 0): {0: 100000}, ('Category Pair', 2, 1): {0: 83388, 10: 16612}, ('Category Pair', 2, 2): {0: 69422, 10: 30578}, ('Category Pair', 2, 3): {0: 57830, 10: 42170}, ('Category Pair', 2, 4): {0: 48195, 10: 51805}, ('Category Pair', 2, 5): {0: 40117, 10: 59883}, ('Category Pair', 2, 6): {0: 33286, 10: 66714}, ('Category Pair', 2, 7): {0: 27917, 10: 72083}, ('Category Pair', 2, 8): {0: 23354, 10: 76646}, ('Category Pair', 3, 0): {0: 100000}, ('Category Pair', 3, 1): {0: 55518, 10: 44482}, ('Category Pair', 3, 2): {0: 30904, 10: 69096}, ('Category Pair', 3, 3): {0: 17242, 10: 82758}, ('Category Pair', 3, 4): {0: 9486, 10: 90514}, ('Category Pair', 3, 5): {0: 5362, 10: 94638}, ('Category Pair', 3, 6): {0: 2909, 10: 97091}, ('Category Pair', 3, 7): {0: 1574, 10: 98426}, ('Category Pair', 3, 8): {0: 902, 10: 99098}, ('Category Pair', 4, 0): {0: 100000}, ('Category Pair', 4, 1): {0: 27789, 10: 72211}, ('Category Pair', 4, 2): {0: 7799, 10: 92201}, ('Category Pair', 4, 3): {0: 2113, 10: 97887}, ('Category Pair', 4, 4): {0: 601, 10: 99399}, ('Category Pair', 4, 5): {0: 155, 10: 99845}, ('Category Pair', 4, 6): {0: 43, 10: 99957}, ('Category Pair', 4, 7): {0: 10, 10: 99990}, ('Category Pair', 4, 8): {0: 3, 10: 99997}, ('Category Pair', 5, 0): {0: 100000}, ('Category Pair', 5, 1): {0: 9298, 10: 90702}, ('Category Pair', 5, 2): {0: 863, 10: 99137}, ('Category Pair', 5, 3): {0: 79, 10: 99921}, ('Category Pair', 5, 4): {0: 2, 10: 99998}, ('Category Pair', 5, 5): {0: 2, 10: 99998}, ('Category Pair', 5, 6): {10: 100000}, ('Category Pair', 5, 7): {10: 100000}, ('Category Pair', 5, 8): {10: 100000}, ('Category Pair', 6, 0): {0: 100000}, ('Category Pair', 6, 1): {0: 1541, 10: 98459}, ('Category Pair', 6, 2): {0: 23, 10: 99977}, ('Category Pair', 6, 3): {10: 100000}, ('Category Pair', 6, 4): {10: 100000}, ('Category Pair', 6, 5): {10: 100000}, ('Category Pair', 6, 6): {10: 100000}, ('Category Pair', 6, 7): {10: 100000}, ('Category Pair', 6, 8): {10: 100000}, ('Category Pair', 7, 0): {0: 100000}, ('Category Pair', 7, 1): {10: 100000}, ('Category Pair', 7, 2): {10: 100000}, ('Category Pair', 7, 3): {10: 100000}, ('Category Pair', 7, 4): {10: 100000}, ('Category Pair', 7, 5): {10: 100000}, ('Category Pair', 7, 6): {10: 100000}, ('Category Pair', 7, 7): {10: 100000}, ('Category Pair', 7, 8): {10: 100000}, ('Category Pair', 8, 0): {0: 100000}, ('Category Pair', 8, 1): {10: 100000}, ('Category Pair', 8, 2): {10: 100000}, ('Category Pair', 8, 3): {10: 100000}, ('Category Pair', 8, 4): {10: 100000}, ('Category 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('Category Three of a Kind', 7, 8): {0: 8, 20: 99992}, ('Category Three of a Kind', 8, 0): {0: 100000}, ('Category Three of a Kind', 8, 1): {0: 29316, 20: 70684}, ('Category Three of a Kind', 8, 2): {0: 5027, 20: 94973}, ('Category Three of a Kind', 8, 3): {0: 857, 20: 99143}, ('Category Three of a Kind', 8, 4): {0: 162, 20: 99838}, ('Category Three of a Kind', 8, 5): {0: 25, 20: 99975}, ('Category Three of a Kind', 8, 6): {0: 4, 20: 99996}, ('Category Three of a Kind', 8, 7): {0: 1, 20: 99999}, ('Category Three of a Kind', 8, 8): {20: 100000}, ('Category Four of a Kind', 0, 0): {0: 100000}, ('Category Four of a Kind', 0, 1): {0: 100000}, ('Category Four of a Kind', 0, 2): {0: 100000}, ('Category Four of a Kind', 0, 3): {0: 100000}, ('Category Four of a Kind', 0, 4): {0: 100000}, ('Category Four of a Kind', 0, 5): {0: 100000}, ('Category Four of a Kind', 0, 6): {0: 100000}, ('Category Four of a Kind', 0, 7): {0: 100000}, ('Category Four of a Kind', 0, 8): {0: 100000}, ('Category Four 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('Category Four of a Kind', 3, 3): {0: 100000}, ('Category Four of a Kind', 3, 4): {0: 100000}, ('Category Four of a Kind', 3, 5): {0: 100000}, ('Category Four of a Kind', 3, 6): {0: 100000}, ('Category Four of a Kind', 3, 7): {0: 100000}, ('Category Four of a Kind', 3, 8): {0: 100000}, ('Category Four of a Kind', 4, 0): {0: 100000}, ('Category Four of a Kind', 4, 1): {0: 99516, 30: 484}, ('Category Four of a Kind', 4, 2): {0: 96122, 30: 3878}, ('Category Four of a Kind', 4, 3): {0: 89867, 30: 10133}, ('Category Four of a Kind', 4, 4): {0: 81771, 30: 18229}, ('Category Four of a Kind', 4, 5): {0: 72893, 30: 27107}, ('Category Four of a Kind', 4, 6): {0: 64000, 30: 36000}, ('Category Four of a Kind', 4, 7): {0: 55921, 30: 44079}, ('Category Four of a Kind', 4, 8): {0: 48175, 30: 51825}, ('Category Four of a Kind', 5, 0): {0: 100000}, ('Category Four of a Kind', 5, 1): {0: 97938, 30: 2062}, ('Category Four of a Kind', 5, 2): {0: 86751, 30: 13249}, ('Category Four of a Kind', 5, 3): {0: 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('Category Tiny Straight', 4, 7): {0: 8991, 20: 91009}, ('Category Tiny Straight', 4, 8): {0: 6325, 20: 93675}, ('Category Tiny Straight', 5, 0): {0: 100000}, ('Category Tiny Straight', 5, 1): {0: 64979, 20: 35021}, ('Category Tiny Straight', 5, 2): {0: 36509, 20: 63491}, ('Category Tiny Straight', 5, 3): {0: 20576, 20: 79424}, ('Category Tiny Straight', 5, 4): {0: 11585, 20: 88415}, ('Category Tiny Straight', 5, 5): {0: 6874, 20: 93126}, ('Category Tiny Straight', 5, 6): {0: 3798, 20: 96202}, ('Category Tiny Straight', 5, 7): {0: 2214, 20: 97786}, ('Category Tiny Straight', 5, 8): {0: 1272, 20: 98728}, ('Category Tiny Straight', 6, 0): {0: 100000}, ('Category Tiny Straight', 6, 1): {0: 52157, 20: 47843}, ('Category Tiny Straight', 6, 2): {0: 23641, 20: 76359}, ('Category Tiny Straight', 6, 3): {0: 10883, 20: 89117}, ('Category Tiny Straight', 6, 4): {0: 5127, 20: 94873}, ('Category Tiny Straight', 6, 5): {0: 2442, 20: 97558}, ('Category Tiny Straight', 6, 6): {0: 1158, 20: 98842}, 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9599, 3: 11842, 5: 34490, 8: 19129, 10: 24940}, ('Category Sum of Odds', 2, 5): {0: 6652, 5: 40845, 8: 18712, 10: 33791}, ('Category Sum of Odds', 2, 6): {0: 10404, 5: 20970, 8: 26124, 10: 42502}, ('Category Sum of Odds', 2, 7): {0: 7262, 5: 26824, 8: 15860, 10: 50054}, ('Category Sum of Odds', 2, 8): {0: 4950, 5: 23253, 8: 14179, 10: 57618}, ('Category Sum of Odds', 3, 1): {0: 12467, 1: 16736, 4: 20970, 6: 29252, 8: 11660, 10: 8915}, ('Category Sum of Odds', 3, 2): {0: 8635, 3: 15579, 6: 27649, 9: 30585, 13: 17552}, ('Category Sum of Odds', 3, 3): {0: 5022, 6: 32067, 8: 21631, 11: 24032, 13: 17248}, ('Category Sum of Odds', 3, 4): {0: 8260, 6: 17955, 8: 18530, 11: 28631, 13: 14216, 15: 12408}, ('Category Sum of Odds', 3, 5): {0: 4685, 5: 13863, 8: 14915, 11: 30363, 13: 16370, 15: 19804}, ('Category Sum of Odds', 3, 6): {0: 2766, 5: 10213, 8: 11372, 10: 30968, 13: 17133, 15: 27548}, ('Category Sum of Odds', 3, 7): {0: 543, 3: 8448, 10: 28784, 13: 26258, 15: 35967}, ('Category Sum of Odds', 3, 8): {0: 3760, 6: 8911, 11: 27672, 13: 16221, 15: 43436}, ('Category Sum of Odds', 4, 1): {0: 18870, 5: 28873, 6: 18550, 9: 20881, 11: 12826}, ('Category Sum of Odds', 4, 2): {0: 7974, 6: 23957, 9: 27982, 11: 15953, 13: 13643, 15: 10491}, ('Category Sum of Odds', 4, 3): {0: 1778, 3: 8154, 8: 25036, 11: 24307, 13: 18030, 15: 14481, 18: 8214}, ('Category Sum of Odds', 4, 4): {0: 1862, 4: 8889, 8: 11182, 11: 21997, 13: 19483, 16: 20879, 20: 15708}, ('Category Sum of Odds', 4, 5): {0: 5687, 7: 8212, 11: 18674, 13: 17578, 16: 25572, 18: 12704, 20: 11573}, ('Category Sum of Odds', 4, 6): {0: 6549, 11: 17161, 13: 15290, 16: 28355, 18: 14865, 20: 17780}, ('Category Sum of Odds', 4, 7): {0: 5048, 10: 11824, 13: 12343, 16: 29544, 18: 15947, 20: 25294}, ('Category Sum of Odds', 4, 8): {0: 3060, 10: 8747, 15: 29415, 18: 25762, 20: 33016}, ('Category Sum of Odds', 5, 1): {0: 3061, 3: 22078, 6: 26935, 9: 23674, 11: 15144, 14: 9108}, ('Category Sum of Odds', 5, 2): {0: 5813, 7: 19297, 9: 14666, 11: 17165, 14: 21681, 16: 10586, 18: 10792}, ('Category Sum of Odds', 5, 3): {0: 3881, 6: 9272, 9: 10300, 11: 13443, 14: 24313, 16: 13969, 19: 16420, 21: 8402}, ('Category Sum of Odds', 5, 4): {0: 4213, 8: 9656, 13: 24199, 16: 22188, 18: 16440, 20: 14313, 23: 8991}, ('Category Sum of Odds', 5, 5): {0: 4997, 10: 9128, 13: 11376, 16: 20859, 18: 17548, 21: 20120, 25: 15972}, ('Category Sum of Odds', 5, 6): {0: 4581, 11: 8516, 14: 11335, 16: 10647, 18: 16866, 21: 24256, 23: 11945, 25: 11854}, ('Category Sum of Odds', 5, 7): {0: 176, 6: 8052, 16: 17535, 18: 14878, 21: 27189, 23: 14100, 25: 18070}, ('Category Sum of Odds', 5, 8): {0: 2, 2: 6622, 15: 12097, 18: 12454, 21: 28398, 23: 15254, 25: 25173}, ('Category Sum of Odds', 6, 1): {0: 11634, 4: 12188, 6: 16257, 9: 23909, 11: 13671, 13: 13125, 16: 9216}, ('Category Sum of Odds', 6, 2): {0: 1403, 4: 8241, 10: 22151, 12: 14245, 14: 15279, 17: 19690, 21: 18991}, ('Category Sum of Odds', 6, 3): {0: 6079, 9: 10832, 12: 10094, 14: 13221, 17: 22538, 19: 12673, 21: 15363, 24: 9200}, ('Category Sum of Odds', 6, 4): {0: 5771, 11: 9419, 16: 22239, 19: 22715, 21: 12847, 23: 12798, 25: 9237, 28: 4974}, ('Category Sum of Odds', 6, 5): {0: 2564, 11: 8518, 17: 20753, 19: 14121, 21: 13179, 23: 15752, 25: 14841, 28: 10272}, ('Category Sum of Odds', 6, 6): {0: 4310, 14: 8668, 19: 20891, 21: 12052, 23: 16882, 26: 19954, 30: 17243}, ('Category Sum of Odds', 6, 7): {0: 5233, 16: 8503, 19: 11127, 21: 10285, 23: 16141, 26: 23993, 28: 12043, 30: 12675}, ('Category Sum of Odds', 6, 8): {0: 510, 12: 8107, 21: 17013, 23: 14396, 26: 26771, 28: 13964, 30: 19239}, ('Category Sum of Odds', 7, 1): {0: 2591, 2: 8436, 5: 11759, 7: 13733, 9: 15656, 11: 14851, 13: 12301, 15: 11871, 18: 8802}, ('Category Sum of Odds', 7, 2): {0: 4730, 8: 8998, 11: 10573, 13: 13099, 15: 13819, 17: 13594, 19: 12561, 21: 12881, 24: 9745}, ('Category Sum of Odds', 7, 3): {0: 2549, 9: 8523, 15: 19566, 17: 12251, 19: 13562, 21: 13473, 23: 11918, 27: 18158}, ('Category Sum of Odds', 7, 4): {0: 6776, 14: 9986, 19: 20914, 22: 21006, 24: 12685, 26: 10835, 30: 17798}, ('Category Sum of Odds', 7, 5): {0: 2943, 14: 8009, 20: 20248, 22: 11896, 24: 14166, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('Category Sum of Odds', 7, 6): {2: 1990, 15: 8986, 22: 19198, 24: 13388, 26: 12513, 28: 15893, 30: 15831, 35: 12201}, ('Category Sum of Odds', 7, 7): {4: 559, 14: 8153, 21: 11671, 24: 12064, 26: 11473, 28: 16014, 31: 20785, 33: 10174, 35: 9107}, ('Category Sum of Odds', 7, 8): {0: 3, 8: 5190, 21: 8049, 24: 10585, 28: 25255, 31: 24333, 33: 12445, 35: 14140}, ('Category Sum of Odds', 8, 1): {0: 7169, 7: 19762, 9: 14044, 11: 14858, 13: 13399, 15: 10801, 17: 11147, 20: 8820}, ('Category Sum of Odds', 8, 2): {0: 7745, 11: 10927, 14: 10849, 16: 13103, 18: 13484, 20: 12487, 22: 10815, 24: 11552, 27: 9038}, ('Category Sum of Odds', 8, 3): {0: 3867, 12: 9356, 18: 19408, 20: 12379, 22: 12519, 24: 12260, 26: 11008, 28: 10726, 31: 8477}, ('Category Sum of Odds', 8, 4): {1: 3971, 15: 9176, 21: 18732, 23: 12900, 25: 13405, 27: 11603, 29: 10400, 33: 19813}, ('Category Sum of Odds', 8, 5): {1: 490, 12: 8049, 20: 9682, 23: 10177, 25: 12856, 27: 12369, 29: 12781, 32: 18029, 34: 11315, 38: 4252}, ('Category Sum of Odds', 8, 6): {4: 86, 11: 8038, 22: 9157, 25: 10729, 27: 11053, 29: 13606, 31: 12383, 33: 14068, 35: 12408, 38: 8472}, ('Category Sum of Odds', 8, 7): {6: 1852, 20: 8020, 27: 17455, 29: 12898, 31: 12181, 33: 15650, 35: 17577, 40: 14367}, ('Category Sum of Odds', 8, 8): {4: 8, 11: 8008, 26: 10314, 29: 11446, 31: 10714, 33: 16060, 36: 21765, 38: 10622, 40: 11063}, ('Category Sum of Evens', 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, ('Category Sum of Evens', 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, ('Category Sum of Evens', 1, 3): {0: 22259, 4: 42357, 6: 35384}, ('Category Sum of Evens', 1, 4): {0: 18511, 4: 35651, 6: 45838}, ('Category Sum of Evens', 1, 5): {0: 15428, 4: 29656, 6: 54916}, ('Category Sum of Evens', 1, 6): {0: 12927, 4: 24370, 6: 62703}, ('Category Sum of Evens', 1, 7): {0: 14152, 4: 17087, 6: 68761}, ('Category Sum of Evens', 1, 8): {0: 11920, 4: 14227, 6: 73853}, ('Category Sum of Evens', 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 10: 16701}, ('Category Sum of Evens', 2, 2): {0: 11179, 4: 27164, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, ('Category Sum of Evens', 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, ('Category Sum of Evens', 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, ('Category Sum of Evens', 2, 5): {0: 3991, 6: 27157, 8: 11641, 10: 26842, 12: 30369}, ('Category Sum of Evens', 2, 6): {0: 2741, 6: 23123, 10: 35050, 12: 39086}, ('Category Sum of Evens', 2, 7): {0: 1122, 6: 20538, 10: 30952, 12: 47388}, ('Category Sum of Evens', 2, 8): {0: 3950, 6: 14006, 10: 27341, 12: 54703}, ('Category Sum of Evens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 14: 12192}, ('Category Sum of Evens', 3, 2): {0: 7404, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 16: 17485}, ('Category Sum of Evens', 3, 3): {0: 2176, 6: 14148, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 17180}, ('Category Sum of Evens', 3, 4): {0: 4556, 8: 15062, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('Category Sum of Evens', 3, 5): {0: 2575, 8: 10825, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, ('Category Sum of Evens', 3, 6): {0: 1475, 6: 7528, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, ('Category Sum of Evens', 3, 7): {0: 862, 6: 5321, 12: 26291, 14: 10985, 16: 24254, 18: 32287}, ('Category Sum of Evens', 3, 8): {0: 138, 4: 4086, 12: 22703, 16: 32516, 18: 40557}, ('Category Sum of Evens', 4, 1): {0: 6214, 4: 20921, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 16: 14492}, ('Category Sum of Evens', 4, 2): {0: 2868, 6: 13362, 8: 10702, 10: 15154, 12: 15715, 14: 14104, 16: 12485, 20: 15610}, ('Category Sum of Evens', 4, 3): {0: 573, 8: 10496, 10: 10269, 12: 12879, 14: 16224, 16: 17484, 18: 13847, 20: 10518, 22: 7710}, ('Category Sum of Evens', 4, 4): {0: 1119, 6: 5124, 12: 17394, 14: 12763, 16: 17947, 18: 16566, 20: 13338, 22: 15749}, ('Category Sum of Evens', 4, 5): {0: 3477, 12: 12738, 16: 26184, 18: 18045, 20: 14172, 22: 16111, 24: 9273}, ('Category Sum of Evens', 4, 6): {0: 991, 12: 10136, 16: 21089, 18: 18805, 20: 13848, 22: 20013, 24: 15118}, ('Category Sum of Evens', 4, 7): {0: 2931, 16: 21174, 18: 18952, 20: 12601, 22: 21947, 24: 22395}, ('Category Sum of Evens', 4, 8): {0: 1798, 12: 6781, 18: 27146, 20: 11505, 22: 23056, 24: 29714}, ('Category Sum of Evens', 5, 1): {0: 3192, 4: 13829, 6: 13373, 8: 13964, 10: 14656, 12: 13468, 14: 10245, 18: 17273}, ('Category Sum of Evens', 5, 2): {0: 3217, 8: 10390, 12: 22094, 14: 13824, 16: 14674, 18: 12124, 22: 16619, 24: 7058}, ('Category Sum of Evens', 5, 3): {0: 3904, 12: 11004, 14: 10339, 16: 13128, 18: 14686, 20: 15282, 22: 13294, 26: 18363}, ('Category Sum of Evens', 5, 4): {0: 43, 4: 4025, 14: 10648, 16: 10437, 18: 12724, 20: 14710, 22: 16005, 24: 12896, 28: 18512}, ('Category Sum of Evens', 5, 5): {0: 350, 8: 4392, 16: 11641, 18: 10297, 20: 12344, 22: 16826, 24: 15490, 26: 12235, 28: 16425}, ('Category Sum of Evens', 5, 6): {0: 374, 10: 4670, 18: 13498, 22: 25729, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, ('Category Sum of Evens', 5, 7): {0: 1473, 18: 11310, 22: 21341, 24: 18114, 26: 13349, 28: 19048, 30: 15365}, ('Category Sum of Evens', 5, 8): {0: 1, 4: 3753, 20: 10318, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, ('Category Sum of Evens', 6, 1): {0: 4767, 6: 15250, 8: 11527, 10: 13220, 12: 13855, 14: 12217, 16: 10036, 20: 19128}, ('Category Sum of Evens', 6, 2): {0: 1380, 6: 5285, 12: 13888, 14: 10495, 16: 12112, 18: 12962, 20: 12458, 22: 10842, 26: 14076, 28: 6502}, ('Category Sum of Evens', 6, 3): {0: 1230, 16: 17521, 18: 10098, 20: 12628, 22: 13809, 24: 13594, 26: 11930, 30: 19190}, ('Category Sum of Evens', 6, 4): {0: 1235, 18: 15534, 22: 22081, 24: 13471, 26: 13991, 28: 12906, 32: 20782}, ('Category Sum of Evens', 6, 5): {0: 1241, 20: 15114, 24: 21726, 26: 13874, 28: 15232, 30: 12927, 34: 19886}, ('Category Sum of Evens', 6, 6): {0: 1224, 22: 15886, 26: 21708, 28: 15982, 30: 15534, 32: 12014, 34: 17652}, ('Category Sum of Evens', 6, 7): {4: 1437, 24: 17624, 28: 24727, 30: 17083, 32: 13001, 34: 15604, 36: 10524}, ('Category Sum of Evens', 6, 8): {4: 1707, 24: 11310, 28: 20871, 30: 18101, 32: 12842, 34: 18840, 36: 16329}, ('Category Sum of Evens', 7, 1): {0: 6237, 8: 15390, 10: 11183, 12: 12690, 14: 12463, 16: 11578, 20: 17339, 22: 8870, 26: 4250}, ('Category Sum of Evens', 7, 2): {0: 1433, 14: 16705, 18: 19797, 20: 11747, 22: 12101, 24: 10947, 28: 16547, 32: 10723}, ('Category Sum of Evens', 7, 3): {0: 2135, 14: 5836, 20: 13766, 22: 10305, 24: 12043, 26: 13153, 28: 12644, 30: 10884, 34: 19234}, ('Category Sum of Evens', 7, 4): {0: 1762, 22: 16471, 26: 20839, 28: 12907, 30: 13018, 32: 11907, 34: 10022, 38: 13074}, ('Category Sum of Evens', 7, 5): {4: 1630, 24: 14719, 28: 20377, 30: 12713, 32: 13273, 34: 13412, 36: 10366, 40: 13510}, ('Category Sum of Evens', 7, 6): {4: 1436, 26: 14275, 30: 20680, 32: 12798, 34: 15385, 36: 13346, 38: 10011, 40: 12069}, ('Category Sum of Evens', 7, 7): {6: 2815, 24: 6584, 30: 16532, 32: 11106, 34: 15613, 36: 15702, 38: 12021, 40: 12478, 42: 7149}, ('Category Sum of Evens', 7, 8): {10: 1490, 30: 16831, 34: 23888, 36: 16970, 38: 12599, 40: 16137, 42: 12085}, ('Category Sum of Evens', 8, 1): {0: 3709, 8: 10876, 12: 19246, 14: 11696, 16: 11862, 18: 11145, 22: 16877, 24: 9272, 28: 5317}, ('Category Sum of Evens', 8, 2): {0: 1361, 16: 14530, 20: 17637, 22: 10922, 24: 11148, 26: 10879, 30: 17754, 34: 15769}, ('Category Sum of Evens', 8, 3): {2: 1601, 22: 14895, 26: 18464, 28: 11561, 30: 12249, 32: 11747, 34: 10070, 38: 19413}, ('Category Sum of Evens', 8, 4): {0: 2339, 20: 5286, 26: 11746, 30: 19858, 32: 12344, 34: 12243, 36: 11307, 40: 16632, 42: 8245}, ('Category Sum of Evens', 8, 5): {4: 1798, 28: 14824, 32: 18663, 34: 12180, 36: 12458, 38: 12260, 40: 10958, 44: 16859}, ('Category Sum of Evens', 8, 6): {6: 2908, 26: 6292, 32: 13573, 34: 10367, 36: 12064, 38: 12862, 40: 13920, 42: 11359, 46: 16655}, ('Category Sum of Evens', 8, 7): {8: 2652, 28: 6168, 34: 13922, 36: 10651, 38: 12089, 40: 14999, 42: 13899, 44: 10574, 46: 15046}, ('Category Sum of Evens', 8, 8): {10: 2547, 30: 6023, 36: 15354, 38: 10354, 40: 14996, 42: 16214, 44: 11803, 46: 13670, 48: 9039}, ('Category Double Threes and Fours', 1, 1): {0: 66749, 6: 16591, 8: 16660}, ('Category Double Threes and Fours', 1, 2): {0: 44675, 6: 27694, 8: 27631}, ('Category Double Threes and Fours', 1, 3): {0: 29592, 6: 35261, 8: 35147}, ('Category Double Threes and Fours', 1, 4): {0: 24601, 6: 29406, 8: 45993}, ('Category Double Threes and Fours', 1, 5): {0: 20499, 6: 24420, 8: 55081}, ('Category Double Threes and Fours', 1, 6): {0: 17116, 6: 20227, 8: 62657}, ('Category Double Threes and Fours', 1, 7): {0: 14193, 6: 17060, 8: 68747}, ('Category Double Threes and Fours', 1, 8): {0: 11977, 6: 13924, 8: 74099}, ('Category Double Threes and Fours', 2, 1): {0: 44382, 6: 22191, 8: 22251, 14: 11176}, ('Category Double Threes and Fours', 2, 2): {0: 19720, 6: 24652, 8: 24891, 14: 23096, 16: 7641}, ('Category Double Threes and Fours', 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376}, ('Category Double Threes and Fours', 2, 4): {0: 6164, 6: 14466, 8: 22828, 14: 35406, 16: 21136}, ('Category Double Threes and Fours', 2, 5): {0: 4307, 6: 10005, 8: 22620, 14: 32879, 16: 30189}, ('Category Double Threes and Fours', 2, 6): {0: 2879, 8: 28513, 14: 29530, 16: 39078}, ('Category Double Threes and Fours', 2, 7): {0: 2042, 8: 24335, 14: 26250, 16: 47373}, ('Category Double Threes and Fours', 2, 8): {0: 1385, 8: 23166, 14: 20907, 16: 54542}, ('Category Double Threes and Fours', 3, 1): {0: 29378, 6: 22335, 8: 22138, 14: 16783, 16: 9366}, ('Category Double Threes and Fours', 3, 2): {0: 8894, 6: 16518, 8: 16277, 12: 10334, 14: 20757, 16: 12265, 22: 14955}, ('Category Double Threes and Fours', 3, 3): {0: 2643, 8: 18522, 12: 11066, 14: 21922, 16: 11045, 20: 17235, 22: 17567}, ('Category Double Threes and Fours', 3, 4): {0: 1523, 8: 13773, 14: 26533, 16: 18276, 20: 11695, 22: 18521, 24: 9679}, ('Category Double Threes and Fours', 3, 5): {0: 845, 8: 10218, 14: 20245, 16: 20293, 22: 31908, 24: 16491}, ('Category Double Threes and Fours', 3, 6): {0: 499, 8: 7230, 14: 15028, 16: 20914, 22: 31835, 24: 24494}, ('Category Double Threes and Fours', 3, 7): {0: 1298, 8: 5434, 16: 30595, 22: 29980, 24: 32693}, ('Category Double Threes and Fours', 3, 8): {0: 178, 6: 4363, 16: 27419, 22: 27614, 24: 40426}, ('Category Double Threes and Fours', 4, 1): {0: 19809, 6: 19538, 8: 19765, 14: 22348, 18: 12403, 22: 6137}, ('Category Double Threes and Fours', 4, 2): {0: 3972, 8: 19440, 14: 27646, 16: 12978, 20: 11442, 22: 11245, 24: 6728, 28: 6549}, ('Category Double Threes and Fours', 4, 3): {0: 745, 6: 7209, 14: 19403, 18: 11744, 20: 15371, 22: 15441, 26: 13062, 30: 17025}, ('Category Double Threes and Fours', 4, 4): {0: 371, 6: 4491, 14: 13120, 16: 10176, 20: 11583, 22: 18508, 24: 10280, 28: 15624, 30: 15847}, ('Category Double Threes and Fours', 4, 5): {0: 163, 6: 4251, 16: 15796, 22: 26145, 24: 17306, 28: 10930, 30: 16244, 32: 9165}, ('Category Double Threes and Fours', 4, 6): {0: 79, 16: 14439, 22: 21763, 24: 18861, 30: 29518, 32: 15340}, ('Category Double Threes and Fours', 4, 7): {0: 1042, 16: 12543, 22: 13634, 24: 20162, 30: 30259, 32: 22360}, ('Category Double Threes and Fours', 4, 8): {0: 20, 6: 2490, 16: 6901, 22: 10960, 24: 20269, 30: 29442, 32: 29918}, ('Category Double Threes and Fours', 5, 1): {0: 13122, 6: 16411, 8: 16451, 14: 24768, 16: 10392, 22: 14528, 26: 4328}, ('Category Double Threes and Fours', 5, 2): {0: 1676, 8: 10787, 14: 20218, 18: 11102, 20: 12668, 22: 12832, 26: 10994, 30: 15390, 34: 4333}, ('Category Double Threes and Fours', 5, 3): {0: 223, 14: 12365, 16: 7165, 20: 11385, 22: 11613, 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100000}, ('Category 4&5 Full House', 4, 5): {0: 100000}, ('Category 4&5 Full House', 4, 6): {0: 100000}, ('Category 4&5 Full House', 4, 7): {0: 100000}, ('Category 4&5 Full House', 4, 8): {0: 100000}, ('Category 4&5 Full House', 5, 1): {0: 99724, 50: 276}, ('Category 4&5 Full House', 5, 2): {0: 96607, 50: 3393}, ('Category 4&5 Full House', 5, 3): {0: 88788, 50: 11212}, ('Category 4&5 Full House', 5, 4): {0: 77799, 50: 22201}, ('Category 4&5 Full House', 5, 5): {0: 65797, 50: 34203}, ('Category 4&5 Full House', 5, 6): {0: 54548, 50: 45452}, ('Category 4&5 Full House', 5, 7): {0: 44898, 50: 55102}, ('Category 4&5 Full House', 5, 8): {0: 36881, 50: 63119}, ('Category 4&5 Full House', 6, 1): {0: 98841, 50: 1159}, ('Category 4&5 Full House', 6, 2): {0: 88680, 50: 11320}, ('Category 4&5 Full House', 6, 3): {0: 70215, 50: 29785}, ('Category 4&5 Full House', 6, 4): {0: 50801, 50: 49199}, ('Category 4&5 Full House', 6, 5): {0: 35756, 50: 64244}, ('Category 4&5 Full House', 6, 6): {0: 24698, 50: 75302}, ('Category 4&5 Full House', 6, 7): {0: 17145, 50: 82855}, ('Category 4&5 Full House', 6, 8): {0: 11846, 50: 88154}, ('Category 4&5 Full House', 7, 1): {0: 97090, 50: 2910}, ('Category 4&5 Full House', 7, 2): {0: 77440, 50: 22560}, ('Category 4&5 Full House', 7, 3): {0: 51372, 50: 48628}, ('Category 4&5 Full House', 7, 4): {0: 30566, 50: 69434}, ('Category 4&5 Full House', 7, 5): {0: 17866, 50: 82134}, ('Category 4&5 Full House', 7, 6): {0: 10521, 50: 89479}, ('Category 4&5 Full House', 7, 7): {0: 6204, 50: 93796}, ('Category 4&5 Full House', 7, 8): {0: 3670, 50: 96330}, ('Category 4&5 Full House', 8, 1): {0: 94172, 50: 5828}, ('Category 4&5 Full House', 8, 2): {0: 64693, 50: 35307}, ('Category 4&5 Full House', 8, 3): {0: 35293, 50: 64707}, ('Category 4&5 Full House', 8, 4): {0: 17749, 50: 82251}, ('Category 4&5 Full House', 8, 5): {0: 8740, 50: 91260}, ('Category 4&5 Full House', 8, 6): {0: 4550, 50: 95450}, ('Category 4&5 Full House', 8, 7): {0: 2218, 50: 97782}, ('Category 4&5 Full House', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 40e641b47507..7ca906c01b31 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.1.0" + ap_world_version = "2.1.1" def _get_yachtdice_data(self): return { @@ -68,6 +68,7 @@ def _get_yachtdice_data(self): } def generate_early(self): + print(self.options) """ In generate early, we fill the item-pool, then determine the number of locations, and add filler items. """ @@ -95,9 +96,14 @@ def generate_early(self): else: raise Exception(f"[Yacht Dice] Unknown MinimalNumberOfDiceAndRolls options {opt_dice_and_rolls}") + # amount of dice and roll fragments needed to get a dice or roll self.frags_per_dice = self.options.number_of_dice_fragments_per_dice.value self.frags_per_roll = self.options.number_of_roll_fragments_per_roll.value + + if self.options.minimize_extra_items == MinimizeExtraItems.option_yes_please: + self.frags_per_dice = min(self.frags_per_dice, 2) + self.frags_per_roll = min(self.frags_per_roll, 2) # set difficulty diff_value = self.options.game_difficulty @@ -154,22 +160,41 @@ def generate_early(self): self.itempool.append(cats[categorylist[index]]) # Also start with one Roll and one Dice - self.precollected.append("Roll") self.precollected.append("Dice") - + num_of_dice_to_add = num_of_dice - 1 + self.precollected.append("Roll") + num_of_rolls_to_add = num_of_rolls - 1 + + self.skip_early_locations = False + if self.options.minimize_extra_items == MinimizeExtraItems.option_yes_please: + self.precollected.append("Dice") + num_of_dice_to_add -= 1 + self.precollected.append("Roll") + num_of_rolls_to_add -= 1 + self.skip_early_locations = True + + if num_of_dice_to_add > 0: + self.itempool.append("Dice") + num_of_dice_to_add -= 1 + if num_of_rolls_to_add > 0: + self.itempool.append("Roll") + num_of_rolls_to_add -= 1 + + # if one fragment per dice, just add "Dice" objects - if self.frags_per_dice == 1: - self.itempool += ["Dice"] * (num_of_dice - 1) # minus one because one is in start inventory - else: - self.itempool.append("Dice") # always add a full dice to make generation easier (will be early) - self.itempool += ["Dice Fragment"] * (self.frags_per_dice * (num_of_dice - 2)) + if num_of_dice_to_add > 0: + if self.frags_per_dice == 1: + self.itempool += ["Dice"] * num_of_dice_to_add # minus one because one is in start inventory + else: + self.itempool += ["Dice Fragment"] * (self.frags_per_dice * num_of_dice_to_add) # if one fragment per roll, just add "Roll" objects - if self.frags_per_roll == 1: - self.itempool += ["Roll"] * (num_of_rolls - 1) # minus one because one is in start inventory - else: - self.itempool.append("Roll") # always add a full roll to make generation easier (will be early) - self.itempool += ["Roll Fragment"] * (self.frags_per_roll * (num_of_rolls - 2)) + if num_of_rolls_to_add > 0: + if self.frags_per_roll == 1: + self.itempool += ["Roll"] * num_of_rolls_to_add # minus one because one is in start inventory + else: + self.itempool.append("Roll") # always add a full roll to make generation easier (will be early) + self.itempool += ["Roll Fragment"] * (self.frags_per_roll * num_of_rolls_to_add) already_items = len(self.itempool) @@ -178,7 +203,7 @@ def generate_early(self): if self.options.minimize_extra_items == MinimizeExtraItems.option_yes_please: extra_percentage = max(0.1, 0.8 - self.multiworld.players / 10) elif self.options.minimize_extra_items == MinimizeExtraItems.option_no_dont: - extra_percentage = 0.7 + extra_percentage = 0.72 else: raise Exception(f"[Yacht Dice] Unknown MinimizeExtraItems options {self.options.minimize_extra_items}") extra_locations_needed = max(10, math.ceil(already_items * extra_percentage)) @@ -422,7 +447,7 @@ def create_items(self): def create_regions(self): # call the ini_locations function, that generates locations based on the inputs. - location_table = ini_locations(self.goal_score, self.max_score, self.number_of_locations, self.difficulty) + location_table = ini_locations(self.goal_score, self.max_score, self.number_of_locations, self.difficulty, self.skip_early_locations, self.multiworld.players) # simple menu-board construction menu = Region("Menu", self.player, self.multiworld) @@ -475,6 +500,8 @@ def fill_slot_data(self): "allow_manual_input", ) slot_data = {**yacht_dice_data, **yacht_dice_options} # combine the two + slot_data["number_of_dice_fragments_per_dice"] = self.frags_per_dice + slot_data["number_of_roll_fragments_per_roll"] = self.frags_per_roll slot_data["goal_score"] = self.goal_score slot_data["last_check_score"] = self.max_score slot_data["allowed_categories"] = self.possible_categories From 676dfd434370a78ab51dc2cd1519d286ac11b6cb Mon Sep 17 00:00:00 2001 From: spinerak Date: Sat, 20 Jul 2024 23:19:38 +0200 Subject: [PATCH 107/127] ruff :dog: --- worlds/yachtdice/Locations.py | 4 +- worlds/yachtdice/YachtWeights.py | 3555 +++++++++++++++++++++++++++++- worlds/yachtdice/__init__.py | 17 +- 3 files changed, 3567 insertions(+), 9 deletions(-) diff --git a/worlds/yachtdice/Locations.py b/worlds/yachtdice/Locations.py index de71058995f9..a9a236466fcc 100644 --- a/worlds/yachtdice/Locations.py +++ b/worlds/yachtdice/Locations.py @@ -48,12 +48,12 @@ def ini_locations(goal_score, max_score, number_of_locations, dif, skip_early_lo # note that current_score is at most max_score-1 highest_score = 0 start_score = 0 - + if skip_early_locations: scaling = 1.95 if number_of_players > 2: scaling = max(1.2, 2.2 - number_of_players * 0.1) - + for i in range(number_of_locations - 1): percentage = i / number_of_locations current_score = int(start_score + 1 + (percentage**scaling) * (max_score - start_score - 2)) diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 38ab14fcee12..ee387fdf212d 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,4 +6,3557 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {('Category Ones', 0, 0): {0: 100000}, ('Category Ones', 0, 1): {0: 100000}, ('Category Ones', 0, 2): {0: 100000}, ('Category Ones', 0, 3): {0: 100000}, ('Category Ones', 0, 4): {0: 100000}, ('Category Ones', 0, 5): {0: 100000}, ('Category Ones', 0, 6): {0: 100000}, ('Category Ones', 0, 7): {0: 100000}, ('Category Ones', 0, 8): {0: 100000}, ('Category Ones', 1, 0): {0: 100000}, ('Category Ones', 1, 1): {0: 83416, 1: 16584}, ('Category Ones', 1, 2): {0: 69346, 1: 30654}, ('Category Ones', 1, 3): {0: 57756, 1: 42244}, ('Category Ones', 1, 4): {0: 48709, 1: 51291}, ('Category Ones', 1, 5): {0: 40214, 1: 59786}, ('Category Ones', 1, 6): {0: 33491, 1: 66509}, ('Category Ones', 1, 7): {0: 27838, 1: 72162}, ('Category Ones', 1, 8): {0: 23094, 1: 76906}, ('Category Ones', 2, 0): {0: 100000}, ('Category Ones', 2, 1): {0: 69715, 1: 30285}, ('Category Ones', 2, 2): {0: 48066, 1: 51934}, ('Category Ones', 2, 3): {0: 33544, 1: 48585, 2: 17871}, ('Category Ones', 2, 4): {0: 23342, 1: 50092, 2: 26566}, ('Category Ones', 2, 5): {0: 16036, 1: 48250, 2: 35714}, ('Category Ones', 2, 6): {0: 11355, 1: 44545, 2: 44100}, ('Category Ones', 2, 7): {0: 7812, 1: 40248, 2: 51940}, ('Category Ones', 2, 8): {0: 5395, 1: 35484, 2: 59121}, ('Category Ones', 3, 0): {0: 100000}, ('Category Ones', 3, 1): {0: 57462, 1: 42538}, ('Category Ones', 3, 2): {0: 33327, 1: 44253, 2: 22420}, ('Category Ones', 3, 3): {0: 19432, 1: 42237, 2: 38331}, ('Category Ones', 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, ('Category Ones', 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, ('Category Ones', 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, ('Category Ones', 3, 7): {0: 2134, 2: 60499, 3: 37367}, ('Category Ones', 3, 8): {0: 1280, 2: 53518, 3: 45202}, ('Category Ones', 4, 0): {0: 100000}, ('Category Ones', 4, 1): {0: 48178, 1: 38635, 2: 13187}, ('Category Ones', 4, 2): {0: 23349, 1: 40775, 2: 35876}, ('Category Ones', 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, ('Category Ones', 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 34157}, ('Category Ones', 4, 5): {0: 2640, 2: 49872, 3: 47488}, ('Category Ones', 4, 6): {0: 1253, 2: 39816, 3: 39298, 4: 19633}, ('Category Ones', 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, ('Category Ones', 4, 8): {0: 4228, 3: 61312, 4: 34460}, ('Category Ones', 5, 0): {0: 100000}, ('Category Ones', 5, 1): {0: 40042, 1: 40202, 2: 19756}, ('Category Ones', 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, ('Category Ones', 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 35387}, ('Category Ones', 5, 4): {0: 2552, 2: 44333, 3: 32048, 4: 21067}, ('Category Ones', 5, 5): {0: 8783, 2: 23245, 3: 34614, 4: 33358}, ('Category Ones', 5, 6): {0: 4513, 3: 49603, 4: 32816, 5: 13068}, ('Category Ones', 5, 7): {0: 2295, 3: 40470, 4: 37869, 5: 19366}, ('Category Ones', 5, 8): {0: 73, 3: 33115, 4: 40166, 5: 26646}, ('Category Ones', 6, 0): {0: 100000}, ('Category Ones', 6, 1): {0: 33501, 1: 40042, 2: 26457}, ('Category Ones', 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 26927}, ('Category Ones', 6, 3): {0: 3764, 2: 46660, 3: 28928, 4: 20648}, ('Category Ones', 6, 4): {0: 1231, 2: 29883, 3: 31038, 4: 37848}, ('Category Ones', 6, 5): {0: 4208, 3: 41897, 4: 30878, 5: 23017}, ('Category Ones', 6, 6): {0: 1850, 3: 30396, 4: 33022, 5: 34732}, ('Category Ones', 6, 7): {0: 5503, 4: 48099, 5: 32432, 6: 13966}, ('Category Ones', 6, 8): {0: 2896, 4: 39616, 5: 37005, 6: 20483}, ('Category Ones', 7, 0): {0: 100000}, ('Category Ones', 7, 1): {0: 27838, 1: 39224, 2: 32938}, ('Category Ones', 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, ('Category Ones', 7, 3): {0: 2247, 2: 35459, 3: 29131, 4: 33163}, ('Category Ones', 7, 4): {0: 5252, 3: 41207, 4: 28065, 5: 25476}, ('Category Ones', 7, 5): {0: 174, 3: 29347, 4: 28867, 5: 26190, 6: 15422}, ('Category Ones', 7, 6): {0: 4625, 4: 38568, 5: 30596, 6: 26211}, ('Category Ones', 7, 7): {0: 230, 4: 30109, 5: 32077, 6: 37584}, ('Category Ones', 7, 8): {0: 5519, 5: 45718, 6: 33357, 7: 15406}, ('Category Ones', 8, 0): {0: 100000}, ('Category Ones', 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, ('Category Ones', 8, 2): {0: 5472, 2: 48372, 3: 25847, 4: 20309}, ('Category Ones', 8, 3): {0: 8661, 3: 45896, 4: 24664, 5: 20779}, ('Category Ones', 8, 4): {0: 2807, 3: 29707, 4: 27157, 5: 23430, 6: 16899}, ('Category Ones', 8, 5): {0: 5173, 4: 36033, 5: 27792, 6: 31002}, ('Category Ones', 8, 6): {0: 255, 4: 25642, 5: 27508, 6: 27112, 7: 19483}, ('Category Ones', 8, 7): {0: 4236, 5: 35323, 6: 30438, 7: 30003}, ('Category Ones', 8, 8): {0: 310, 5: 27692, 6: 30830, 7: 41168}, ('Category Twos', 0, 0): {0: 100000}, ('Category Twos', 0, 1): {0: 100000}, ('Category Twos', 0, 2): {0: 100000}, ('Category Twos', 0, 3): {0: 100000}, ('Category Twos', 0, 4): {0: 100000}, ('Category Twos', 0, 5): {0: 100000}, ('Category Twos', 0, 6): {0: 100000}, ('Category Twos', 0, 7): {0: 100000}, ('Category Twos', 0, 8): {0: 100000}, ('Category Twos', 1, 0): {0: 100000}, ('Category Twos', 1, 1): {0: 83475, 2: 16525}, ('Category Twos', 1, 2): {0: 69690, 2: 30310}, ('Category Twos', 1, 3): {0: 57818, 2: 42182}, ('Category Twos', 1, 4): {0: 48418, 2: 51582}, ('Category Twos', 1, 5): {0: 40301, 2: 59699}, ('Category Twos', 1, 6): {0: 33558, 2: 66442}, ('Category Twos', 1, 7): {0: 28182, 2: 71818}, ('Category Twos', 1, 8): {0: 23406, 2: 76594}, ('Category Twos', 2, 0): {0: 100000}, ('Category Twos', 2, 1): {0: 69724, 2: 30276}, ('Category Twos', 2, 2): {0: 48238, 2: 42479, 4: 9283}, ('Category Twos', 2, 3): {0: 33290, 2: 48819, 4: 17891}, ('Category Twos', 2, 4): {0: 23136, 2: 49957, 4: 26907}, ('Category Twos', 2, 5): {0: 16146, 2: 48200, 4: 35654}, ('Category Twos', 2, 6): {0: 11083, 2: 44497, 4: 44420}, ('Category Twos', 2, 7): {0: 7662, 2: 40343, 4: 51995}, ('Category Twos', 2, 8): {0: 5354, 2: 35526, 4: 59120}, ('Category Twos', 3, 0): {0: 100000}, ('Category Twos', 3, 1): {0: 58021, 2: 34522, 4: 7457}, ('Category Twos', 3, 2): {0: 33548, 2: 44261, 4: 22191}, ('Category Twos', 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, ('Category Twos', 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, ('Category Twos', 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, ('Category Twos', 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, ('Category Twos', 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, ('Category Twos', 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, ('Category Twos', 4, 0): {0: 100000}, ('Category Twos', 4, 1): {0: 48235, 2: 38602, 4: 13163}, ('Category Twos', 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, ('Category Twos', 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, ('Category Twos', 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, ('Category Twos', 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, ('Category Twos', 4, 6): {0: 1259, 4: 39616, 6: 39523, 8: 19602}, ('Category Twos', 4, 7): {0: 622, 4: 30426, 6: 41894, 8: 27058}, ('Category Twos', 4, 8): {0: 4091, 4: 18855, 6: 42309, 8: 34745}, ('Category Twos', 5, 0): {0: 100000}, ('Category Twos', 5, 1): {0: 40028, 2: 40241, 4: 19731}, ('Category Twos', 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 17066}, ('Category Twos', 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, ('Category Twos', 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 20897}, ('Category Twos', 5, 5): {0: 1032, 4: 31627, 6: 33993, 8: 25853, 10: 7495}, ('Category Twos', 5, 6): {0: 450, 4: 20693, 6: 32774, 8: 32900, 10: 13183}, ('Category Twos', 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, ('Category Twos', 5, 8): {0: 1171, 6: 31564, 8: 40798, 10: 26467}, ('Category Twos', 6, 0): {0: 100000}, ('Category Twos', 6, 1): {0: 33502, 2: 40413, 4: 26085}, ('Category Twos', 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, ('Category Twos', 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 20971}, ('Category Twos', 6, 4): {0: 1243, 4: 30025, 6: 31053, 8: 25066, 10: 12613}, ('Category Twos', 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 22992}, ('Category Twos', 6, 6): {0: 1800, 6: 30677, 8: 32692, 10: 26213, 12: 8618}, ('Category Twos', 6, 7): {0: 775, 6: 21013, 8: 31410, 10: 32532, 12: 14270}, ('Category Twos', 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612}, ('Category Twos', 7, 0): {0: 100000}, ('Category Twos', 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683}, ('Category Twos', 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286}, ('Category Twos', 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787}, ('Category Twos', 7, 4): {0: 564, 4: 19036, 6: 26395, 8: 28409, 10: 18080, 12: 7516}, ('Category Twos', 7, 5): {0: 1913, 6: 27198, 8: 29039, 10: 26129, 12: 15721}, ('Category Twos', 7, 6): {0: 54, 6: 17506, 8: 25752, 10: 30413, 12: 26275}, ('Category Twos', 7, 7): {0: 2179, 8: 28341, 10: 32054, 12: 27347, 14: 10079}, ('Category Twos', 7, 8): {0: 942, 8: 19835, 10: 30248, 12: 33276, 14: 15699}, ('Category Twos', 8, 0): {0: 100000}, ('Category Twos', 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383}, ('Category Twos', 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 20523}, ('Category Twos', 8, 3): {0: 1271, 4: 26082, 6: 27054, 8: 24712, 10: 20881}, ('Category Twos', 8, 4): {0: 2889, 6: 29552, 8: 27389, 10: 23232, 12: 16938}, ('Category Twos', 8, 5): {0: 879, 6: 16853, 8: 23322, 10: 27882, 12: 20768, 14: 10296}, ('Category Twos', 8, 6): {0: 2041, 8: 24140, 10: 27398, 12: 27048, 14: 19373}, ('Category Twos', 8, 7): {0: 74, 8: 15693, 10: 23675, 12: 30829, 14: 22454, 16: 7275}, ('Category Twos', 8, 8): {2: 2053, 10: 25677, 12: 31310, 14: 28983, 16: 11977}, ('Category Threes', 0, 0): {0: 100000}, ('Category Threes', 0, 1): {0: 100000}, ('Category Threes', 0, 2): {0: 100000}, ('Category Threes', 0, 3): {0: 100000}, ('Category Threes', 0, 4): {0: 100000}, ('Category Threes', 0, 5): {0: 100000}, ('Category Threes', 0, 6): {0: 100000}, ('Category Threes', 0, 7): {0: 100000}, ('Category Threes', 0, 8): {0: 100000}, ('Category Threes', 1, 0): {0: 100000}, ('Category Threes', 1, 1): {0: 83343, 3: 16657}, ('Category Threes', 1, 2): {0: 69569, 3: 30431}, ('Category Threes', 1, 3): {0: 57872, 3: 42128}, ('Category Threes', 1, 4): {0: 48081, 3: 51919}, ('Category Threes', 1, 5): {0: 40271, 3: 59729}, ('Category Threes', 1, 6): {0: 33201, 3: 66799}, ('Category Threes', 1, 7): {0: 27903, 3: 72097}, ('Category 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59883}, ('Category Pair', 2, 6): {0: 33286, 10: 66714}, ('Category Pair', 2, 7): {0: 27917, 10: 72083}, ('Category Pair', 2, 8): {0: 23354, 10: 76646}, ('Category Pair', 3, 0): {0: 100000}, ('Category Pair', 3, 1): {0: 55518, 10: 44482}, ('Category Pair', 3, 2): {0: 30904, 10: 69096}, ('Category Pair', 3, 3): {0: 17242, 10: 82758}, ('Category Pair', 3, 4): {0: 9486, 10: 90514}, ('Category Pair', 3, 5): {0: 5362, 10: 94638}, ('Category Pair', 3, 6): {0: 2909, 10: 97091}, ('Category Pair', 3, 7): {0: 1574, 10: 98426}, ('Category Pair', 3, 8): {0: 902, 10: 99098}, ('Category Pair', 4, 0): {0: 100000}, ('Category Pair', 4, 1): {0: 27789, 10: 72211}, ('Category Pair', 4, 2): {0: 7799, 10: 92201}, ('Category Pair', 4, 3): {0: 2113, 10: 97887}, ('Category Pair', 4, 4): {0: 601, 10: 99399}, ('Category Pair', 4, 5): {0: 155, 10: 99845}, ('Category Pair', 4, 6): {0: 43, 10: 99957}, ('Category Pair', 4, 7): {0: 10, 10: 99990}, ('Category Pair', 4, 8): {0: 3, 10: 99997}, ('Category Pair', 5, 0): {0: 100000}, ('Category Pair', 5, 1): {0: 9298, 10: 90702}, ('Category Pair', 5, 2): {0: 863, 10: 99137}, ('Category Pair', 5, 3): {0: 79, 10: 99921}, ('Category Pair', 5, 4): {0: 2, 10: 99998}, ('Category Pair', 5, 5): {0: 2, 10: 99998}, ('Category Pair', 5, 6): {10: 100000}, ('Category Pair', 5, 7): {10: 100000}, ('Category Pair', 5, 8): {10: 100000}, ('Category Pair', 6, 0): {0: 100000}, ('Category Pair', 6, 1): {0: 1541, 10: 98459}, ('Category Pair', 6, 2): {0: 23, 10: 99977}, ('Category Pair', 6, 3): {10: 100000}, ('Category Pair', 6, 4): {10: 100000}, ('Category Pair', 6, 5): {10: 100000}, ('Category Pair', 6, 6): {10: 100000}, ('Category Pair', 6, 7): {10: 100000}, ('Category Pair', 6, 8): {10: 100000}, ('Category Pair', 7, 0): {0: 100000}, ('Category Pair', 7, 1): {10: 100000}, ('Category Pair', 7, 2): {10: 100000}, ('Category Pair', 7, 3): {10: 100000}, ('Category Pair', 7, 4): {10: 100000}, ('Category Pair', 7, 5): {10: 100000}, ('Category Pair', 7, 6): {10: 100000}, ('Category Pair', 7, 7): {10: 100000}, ('Category Pair', 7, 8): {10: 100000}, ('Category Pair', 8, 0): {0: 100000}, ('Category Pair', 8, 1): {10: 100000}, ('Category Pair', 8, 2): {10: 100000}, ('Category Pair', 8, 3): {10: 100000}, ('Category Pair', 8, 4): {10: 100000}, ('Category Pair', 8, 5): {10: 100000}, ('Category Pair', 8, 6): {10: 100000}, ('Category Pair', 8, 7): {10: 100000}, ('Category Pair', 8, 8): {10: 100000}, ('Category Three of a Kind', 0, 0): {0: 100000}, ('Category Three of a Kind', 0, 1): {0: 100000}, ('Category Three of a Kind', 0, 2): {0: 100000}, ('Category Three of a Kind', 0, 3): {0: 100000}, ('Category Three of a Kind', 0, 4): {0: 100000}, ('Category Three of a Kind', 0, 5): {0: 100000}, ('Category Three of a Kind', 0, 6): {0: 100000}, ('Category Three of a Kind', 0, 7): {0: 100000}, ('Category Three of a Kind', 0, 8): {0: 100000}, ('Category Three of a Kind', 1, 0): {0: 100000}, ('Category Three of a Kind', 1, 1): {0: 100000}, ('Category Three of a Kind', 1, 2): {0: 100000}, ('Category Three of a Kind', 1, 3): {0: 100000}, ('Category Three of a Kind', 1, 4): {0: 100000}, ('Category Three of a Kind', 1, 5): {0: 100000}, ('Category Three of a Kind', 1, 6): {0: 100000}, ('Category Three of a Kind', 1, 7): {0: 100000}, ('Category Three of a Kind', 1, 8): {0: 100000}, ('Category Three of a Kind', 2, 0): {0: 100000}, ('Category Three of a Kind', 2, 1): {0: 100000}, ('Category Three of a Kind', 2, 2): {0: 100000}, ('Category Three of a Kind', 2, 3): {0: 100000}, ('Category Three of a Kind', 2, 4): {0: 100000}, ('Category Three of a Kind', 2, 5): {0: 100000}, ('Category Three of a Kind', 2, 6): {0: 100000}, ('Category Three of a Kind', 2, 7): {0: 100000}, ('Category Three of a Kind', 2, 8): {0: 100000}, ('Category Three of a Kind', 3, 0): {0: 100000}, ('Category Three of a Kind', 3, 1): {0: 97222, 20: 2778}, ('Category Three of a Kind', 3, 2): {0: 88880, 20: 11120}, ('Category Three of a Kind', 3, 3): {0: 78187, 20: 21813}, ('Category Three of a Kind', 3, 4): {0: 67476, 20: 32524}, ('Category Three of a Kind', 3, 5): {0: 57476, 20: 42524}, ('Category Three of a Kind', 3, 6): {0: 48510, 20: 51490}, ('Category Three of a Kind', 3, 7): {0: 40921, 20: 59079}, ('Category Three of a Kind', 3, 8): {0: 34533, 20: 65467}, ('Category Three of a Kind', 4, 0): {0: 100000}, ('Category Three of a Kind', 4, 1): {0: 90316, 20: 9684}, ('Category Three of a Kind', 4, 2): {0: 68401, 20: 31599}, ('Category Three of a Kind', 4, 3): {0: 49383, 20: 50617}, ('Category Three of a Kind', 4, 4): {0: 34399, 20: 65601}, ('Category Three of a Kind', 4, 5): {0: 24154, 20: 75846}, ('Category Three of a Kind', 4, 6): {0: 16802, 20: 83198}, ('Category Three of a Kind', 4, 7): {0: 11623, 20: 88377}, ('Category Three of a Kind', 4, 8): {0: 8105, 20: 91895}, ('Category Three of a Kind', 5, 0): {0: 100000}, ('Category Three of a Kind', 5, 1): {0: 78629, 20: 21371}, ('Category Three of a Kind', 5, 2): {0: 46013, 20: 53987}, ('Category Three of a Kind', 5, 3): {0: 25698, 20: 74302}, ('Category Three of a Kind', 5, 4): {0: 14205, 20: 85795}, ('Category Three of a Kind', 5, 5): {0: 7932, 20: 92068}, ('Category Three of a Kind', 5, 6): {0: 4357, 20: 95643}, ('Category Three of a Kind', 5, 7): {0: 2432, 20: 97568}, ('Category Three of a Kind', 5, 8): {0: 1378, 20: 98622}, ('Category Three of a Kind', 6, 0): {0: 100000}, ('Category Three of a Kind', 6, 1): {0: 63231, 20: 36769}, ('Category Three of a Kind', 6, 2): {0: 26818, 20: 73182}, ('Category Three of a Kind', 6, 3): {0: 11075, 20: 88925}, ('Category Three of a Kind', 6, 4): {0: 4749, 20: 95251}, ('Category Three of a Kind', 6, 5): {0: 1982, 20: 98018}, ('Category Three of a Kind', 6, 6): {0: 827, 20: 99173}, ('Category Three of a Kind', 6, 7): {0: 358, 20: 99642}, ('Category Three of a Kind', 6, 8): {0: 146, 20: 99854}, ('Category Three of a Kind', 7, 0): {0: 100000}, ('Category Three of a Kind', 7, 1): {0: 45975, 20: 54025}, ('Category Three of a Kind', 7, 2): {0: 13207, 20: 86793}, ('Category 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3): {0: 100000}, ('Category Four of a Kind', 0, 4): {0: 100000}, ('Category Four of a Kind', 0, 5): {0: 100000}, ('Category Four of a Kind', 0, 6): {0: 100000}, ('Category Four of a Kind', 0, 7): {0: 100000}, ('Category Four of a Kind', 0, 8): {0: 100000}, ('Category Four of a Kind', 1, 0): {0: 100000}, ('Category Four of a Kind', 1, 1): {0: 100000}, ('Category Four of a Kind', 1, 2): {0: 100000}, ('Category Four of a Kind', 1, 3): {0: 100000}, ('Category Four of a Kind', 1, 4): {0: 100000}, ('Category Four of a Kind', 1, 5): {0: 100000}, ('Category Four of a Kind', 1, 6): {0: 100000}, ('Category Four of a Kind', 1, 7): {0: 100000}, ('Category Four of a Kind', 1, 8): {0: 100000}, ('Category Four of a Kind', 2, 0): {0: 100000}, ('Category Four of a Kind', 2, 1): {0: 100000}, ('Category Four of a Kind', 2, 2): {0: 100000}, ('Category Four of a Kind', 2, 3): {0: 100000}, ('Category Four of a Kind', 2, 4): {0: 100000}, ('Category Four of a Kind', 2, 5): {0: 100000}, ('Category Four of a 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44079}, ('Category Four of a Kind', 4, 8): {0: 48175, 30: 51825}, ('Category Four of a Kind', 5, 0): {0: 100000}, ('Category Four of a Kind', 5, 1): {0: 97938, 30: 2062}, ('Category Four of a Kind', 5, 2): {0: 86751, 30: 13249}, ('Category Four of a Kind', 5, 3): {0: 70886, 30: 29114}, ('Category Four of a Kind', 5, 4): {0: 54807, 30: 45193}, ('Category Four of a Kind', 5, 5): {0: 41729, 30: 58271}, ('Category Four of a Kind', 5, 6): {0: 30960, 30: 69040}, ('Category Four of a Kind', 5, 7): {0: 22207, 30: 77793}, ('Category Four of a Kind', 5, 8): {0: 16027, 30: 83973}, ('Category Four of a Kind', 6, 0): {0: 100000}, ('Category Four of a Kind', 6, 1): {0: 94810, 30: 5190}, ('Category Four of a Kind', 6, 2): {0: 73147, 30: 26853}, ('Category Four of a Kind', 6, 3): {0: 49873, 30: 50127}, ('Category Four of a Kind', 6, 4): {0: 31913, 30: 68087}, ('Category Four of a Kind', 6, 5): {0: 19877, 30: 80123}, ('Category Four of a Kind', 6, 6): {0: 11973, 30: 88027}, ('Category Four of a Kind', 6, 7): {0: 7324, 30: 92676}, ('Category Four of a Kind', 6, 8): {0: 4221, 30: 95779}, ('Category Four of a Kind', 7, 0): {0: 100000}, ('Category Four of a Kind', 7, 1): {0: 89422, 30: 10578}, ('Category Four of a Kind', 7, 2): {0: 57049, 30: 42951}, ('Category Four of a Kind', 7, 3): {0: 30903, 30: 69097}, ('Category Four of a Kind', 7, 4): {0: 15962, 30: 84038}, ('Category Four of a Kind', 7, 5): {0: 8148, 30: 91852}, ('Category Four of a Kind', 7, 6): {0: 3943, 30: 96057}, ('Category Four of a Kind', 7, 7): {0: 1933, 30: 98067}, ('Category Four of a Kind', 7, 8): {0: 912, 30: 99088}, ('Category Four of a Kind', 8, 0): {0: 100000}, ('Category Four of a Kind', 8, 1): {0: 81614, 30: 18386}, ('Category Four of a Kind', 8, 2): {0: 40524, 30: 59476}, ('Category Four of a Kind', 8, 3): {0: 17426, 30: 82574}, ('Category Four of a Kind', 8, 4): {0: 6958, 30: 93042}, ('Category Four of a Kind', 8, 5): {0: 2862, 30: 97138}, ('Category Four of a Kind', 8, 6): {0: 1049, 30: 98951}, ('Category 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('Category Tiny Straight', 2, 1): {0: 100000}, ('Category Tiny Straight', 2, 2): {0: 100000}, ('Category Tiny Straight', 2, 3): {0: 100000}, ('Category Tiny Straight', 2, 4): {0: 100000}, ('Category Tiny Straight', 2, 5): {0: 100000}, ('Category Tiny Straight', 2, 6): {0: 100000}, ('Category Tiny Straight', 2, 7): {0: 100000}, ('Category Tiny Straight', 2, 8): {0: 100000}, ('Category Tiny Straight', 3, 0): {0: 100000}, ('Category Tiny Straight', 3, 1): {0: 91672, 20: 8328}, ('Category Tiny Straight', 3, 2): {0: 79082, 20: 20918}, ('Category Tiny Straight', 3, 3): {0: 66490, 20: 33510}, ('Category Tiny Straight', 3, 4): {0: 55797, 20: 44203}, ('Category Tiny Straight', 3, 5): {0: 46967, 20: 53033}, ('Category Tiny Straight', 3, 6): {0: 39595, 20: 60405}, ('Category Tiny Straight', 3, 7): {0: 33384, 20: 66616}, ('Category Tiny Straight', 3, 8): {0: 28747, 20: 71253}, ('Category Tiny Straight', 4, 0): {0: 100000}, ('Category Tiny Straight', 4, 1): {0: 78812, 20: 21188}, ('Category Tiny 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8, 2): {0: 10074, 20: 89926}, ('Category Tiny Straight', 8, 3): {0: 3158, 20: 96842}, ('Category Tiny Straight', 8, 4): {0: 1060, 20: 98940}, ('Category Tiny Straight', 8, 5): {0: 356, 20: 99644}, ('Category Tiny Straight', 8, 6): {0: 117, 20: 99883}, ('Category Tiny Straight', 8, 7): {0: 32, 20: 99968}, ('Category Tiny Straight', 8, 8): {0: 10, 20: 99990}, ('Category Small Straight', 0, 0): {0: 100000}, ('Category Small Straight', 0, 1): {0: 100000}, ('Category Small Straight', 0, 2): {0: 100000}, ('Category Small Straight', 0, 3): {0: 100000}, ('Category Small Straight', 0, 4): {0: 100000}, ('Category Small Straight', 0, 5): {0: 100000}, ('Category Small Straight', 0, 6): {0: 100000}, ('Category Small Straight', 0, 7): {0: 100000}, ('Category Small Straight', 0, 8): {0: 100000}, ('Category Small Straight', 1, 0): {0: 100000}, ('Category Small Straight', 1, 1): {0: 100000}, ('Category Small Straight', 1, 2): {0: 100000}, ('Category Small Straight', 1, 3): {0: 100000}, ('Category Small 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('Category Small Straight', 3, 7): {0: 100000}, ('Category Small Straight', 3, 8): {0: 100000}, ('Category Small Straight', 4, 0): {0: 100000}, ('Category Small Straight', 4, 1): {0: 94516, 30: 5484}, ('Category Small Straight', 4, 2): {0: 82700, 30: 17300}, ('Category Small Straight', 4, 3): {0: 67926, 30: 32074}, ('Category Small Straight', 4, 4): {0: 54265, 30: 45735}, ('Category Small Straight', 4, 5): {0: 42130, 30: 57870}, ('Category Small Straight', 4, 6): {0: 32536, 30: 67464}, ('Category Small Straight', 4, 7): {0: 25008, 30: 74992}, ('Category Small Straight', 4, 8): {0: 19595, 30: 80405}, ('Category Small Straight', 5, 0): {0: 100000}, ('Category Small Straight', 5, 1): {0: 84528, 30: 15472}, ('Category Small Straight', 5, 2): {0: 60775, 30: 39225}, ('Category Small Straight', 5, 3): {0: 39543, 30: 60457}, ('Category Small Straight', 5, 4): {0: 24760, 30: 75240}, ('Category Small Straight', 5, 5): {0: 15713, 30: 84287}, ('Category Small Straight', 5, 6): {0: 10199, 30: 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Odds', 7, 2): {0: 4730, 8: 8998, 11: 10573, 13: 13099, 15: 13819, 17: 13594, 19: 12561, 21: 12881, 24: 9745}, ('Category Sum of Odds', 7, 3): {0: 2549, 9: 8523, 15: 19566, 17: 12251, 19: 13562, 21: 13473, 23: 11918, 27: 18158}, ('Category Sum of Odds', 7, 4): {0: 6776, 14: 9986, 19: 20914, 22: 21006, 24: 12685, 26: 10835, 30: 17798}, ('Category Sum of Odds', 7, 5): {0: 2943, 14: 8009, 20: 20248, 22: 11896, 24: 14166, 26: 12505, 28: 13136, 30: 10486, 33: 6611}, ('Category Sum of Odds', 7, 6): {2: 1990, 15: 8986, 22: 19198, 24: 13388, 26: 12513, 28: 15893, 30: 15831, 35: 12201}, ('Category Sum of Odds', 7, 7): {4: 559, 14: 8153, 21: 11671, 24: 12064, 26: 11473, 28: 16014, 31: 20785, 33: 10174, 35: 9107}, ('Category Sum of Odds', 7, 8): {0: 3, 8: 5190, 21: 8049, 24: 10585, 28: 25255, 31: 24333, 33: 12445, 35: 14140}, ('Category Sum of Odds', 8, 1): {0: 7169, 7: 19762, 9: 14044, 11: 14858, 13: 13399, 15: 10801, 17: 11147, 20: 8820}, ('Category Sum of Odds', 8, 2): {0: 7745, 11: 10927, 14: 10849, 16: 13103, 18: 13484, 20: 12487, 22: 10815, 24: 11552, 27: 9038}, ('Category Sum of Odds', 8, 3): {0: 3867, 12: 9356, 18: 19408, 20: 12379, 22: 12519, 24: 12260, 26: 11008, 28: 10726, 31: 8477}, ('Category Sum of Odds', 8, 4): {1: 3971, 15: 9176, 21: 18732, 23: 12900, 25: 13405, 27: 11603, 29: 10400, 33: 19813}, ('Category Sum of Odds', 8, 5): {1: 490, 12: 8049, 20: 9682, 23: 10177, 25: 12856, 27: 12369, 29: 12781, 32: 18029, 34: 11315, 38: 4252}, ('Category Sum of Odds', 8, 6): {4: 86, 11: 8038, 22: 9157, 25: 10729, 27: 11053, 29: 13606, 31: 12383, 33: 14068, 35: 12408, 38: 8472}, ('Category Sum of Odds', 8, 7): {6: 1852, 20: 8020, 27: 17455, 29: 12898, 31: 12181, 33: 15650, 35: 17577, 40: 14367}, ('Category Sum of Odds', 8, 8): {4: 8, 11: 8008, 26: 10314, 29: 11446, 31: 10714, 33: 16060, 36: 21765, 38: 10622, 40: 11063}, ('Category Sum of Evens', 1, 1): {0: 49585, 2: 16733, 4: 16854, 6: 16828}, ('Category Sum of Evens', 1, 2): {0: 33244, 2: 11087, 4: 28025, 6: 27644}, ('Category Sum of Evens', 1, 3): {0: 22259, 4: 42357, 6: 35384}, ('Category Sum of Evens', 1, 4): {0: 18511, 4: 35651, 6: 45838}, ('Category Sum of Evens', 1, 5): {0: 15428, 4: 29656, 6: 54916}, ('Category Sum of Evens', 1, 6): {0: 12927, 4: 24370, 6: 62703}, ('Category Sum of Evens', 1, 7): {0: 14152, 4: 17087, 6: 68761}, ('Category Sum of Evens', 1, 8): {0: 11920, 4: 14227, 6: 73853}, ('Category Sum of Evens', 2, 1): {0: 25229, 2: 16545, 4: 19538, 6: 21987, 10: 16701}, ('Category Sum of Evens', 2, 2): {0: 11179, 4: 27164, 6: 24451, 8: 13966, 10: 15400, 12: 7840}, ('Category Sum of Evens', 2, 3): {0: 8099, 4: 16354, 6: 20647, 8: 17887, 10: 24736, 12: 12277}, ('Category Sum of Evens', 2, 4): {0: 5687, 4: 11219, 6: 20711, 8: 14290, 10: 26976, 12: 21117}, ('Category Sum of Evens', 2, 5): {0: 3991, 6: 27157, 8: 11641, 10: 26842, 12: 30369}, ('Category Sum of Evens', 2, 6): {0: 2741, 6: 23123, 10: 35050, 12: 39086}, ('Category Sum of Evens', 2, 7): {0: 1122, 6: 20538, 10: 30952, 12: 47388}, ('Category Sum of Evens', 2, 8): {0: 3950, 6: 14006, 10: 27341, 12: 54703}, ('Category Sum of Evens', 3, 1): {0: 12538, 2: 12516, 4: 16530, 6: 21270, 8: 13745, 10: 11209, 14: 12192}, ('Category Sum of Evens', 3, 2): {0: 7404, 4: 10459, 6: 15644, 8: 15032, 10: 18955, 12: 15021, 16: 17485}, ('Category Sum of Evens', 3, 3): {0: 2176, 6: 14148, 8: 12295, 10: 20247, 12: 18001, 14: 15953, 16: 17180}, ('Category Sum of Evens', 3, 4): {0: 4556, 8: 15062, 10: 17232, 12: 18975, 14: 15832, 16: 18749, 18: 9594}, ('Category Sum of Evens', 3, 5): {0: 2575, 8: 10825, 10: 13927, 12: 19533, 14: 14402, 16: 21954, 18: 16784}, ('Category Sum of Evens', 3, 6): {0: 1475, 6: 7528, 10: 10614, 12: 19070, 14: 12940, 16: 23882, 18: 24491}, ('Category Sum of Evens', 3, 7): {0: 862, 6: 5321, 12: 26291, 14: 10985, 16: 24254, 18: 32287}, ('Category Sum of Evens', 3, 8): {0: 138, 4: 4086, 12: 22703, 16: 32516, 18: 40557}, ('Category Sum of Evens', 4, 1): {0: 6214, 4: 20921, 6: 17434, 8: 15427, 10: 14158, 12: 11354, 16: 14492}, ('Category Sum of Evens', 4, 2): {0: 2868, 6: 13362, 8: 10702, 10: 15154, 12: 15715, 14: 14104, 16: 12485, 20: 15610}, ('Category Sum of Evens', 4, 3): {0: 573, 8: 10496, 10: 10269, 12: 12879, 14: 16224, 16: 17484, 18: 13847, 20: 10518, 22: 7710}, ('Category Sum of Evens', 4, 4): {0: 1119, 6: 5124, 12: 17394, 14: 12763, 16: 17947, 18: 16566, 20: 13338, 22: 15749}, ('Category Sum of Evens', 4, 5): {0: 3477, 12: 12738, 16: 26184, 18: 18045, 20: 14172, 22: 16111, 24: 9273}, ('Category Sum of Evens', 4, 6): {0: 991, 12: 10136, 16: 21089, 18: 18805, 20: 13848, 22: 20013, 24: 15118}, ('Category Sum of Evens', 4, 7): {0: 2931, 16: 21174, 18: 18952, 20: 12601, 22: 21947, 24: 22395}, ('Category Sum of Evens', 4, 8): {0: 1798, 12: 6781, 18: 27146, 20: 11505, 22: 23056, 24: 29714}, ('Category Sum of Evens', 5, 1): {0: 3192, 4: 13829, 6: 13373, 8: 13964, 10: 14656, 12: 13468, 14: 10245, 18: 17273}, ('Category Sum of Evens', 5, 2): {0: 3217, 8: 10390, 12: 22094, 14: 13824, 16: 14674, 18: 12124, 22: 16619, 24: 7058}, ('Category Sum of Evens', 5, 3): {0: 3904, 12: 11004, 14: 10339, 16: 13128, 18: 14686, 20: 15282, 22: 13294, 26: 18363}, ('Category Sum of Evens', 5, 4): {0: 43, 4: 4025, 14: 10648, 16: 10437, 18: 12724, 20: 14710, 22: 16005, 24: 12896, 28: 18512}, ('Category Sum of Evens', 5, 5): {0: 350, 8: 4392, 16: 11641, 18: 10297, 20: 12344, 22: 16826, 24: 15490, 26: 12235, 28: 16425}, ('Category Sum of Evens', 5, 6): {0: 374, 10: 4670, 18: 13498, 22: 25729, 24: 17286, 26: 13565, 28: 15274, 30: 9604}, ('Category Sum of Evens', 5, 7): {0: 1473, 18: 11310, 22: 21341, 24: 18114, 26: 13349, 28: 19048, 30: 15365}, ('Category Sum of Evens', 5, 8): {0: 1, 4: 3753, 20: 10318, 22: 11699, 24: 18376, 26: 12500, 28: 21211, 30: 22142}, ('Category Sum of Evens', 6, 1): {0: 4767, 6: 15250, 8: 11527, 10: 13220, 12: 13855, 14: 12217, 16: 10036, 20: 19128}, ('Category Sum of Evens', 6, 2): {0: 1380, 6: 5285, 12: 13888, 14: 10495, 16: 12112, 18: 12962, 20: 12458, 22: 10842, 26: 14076, 28: 6502}, ('Category Sum of Evens', 6, 3): {0: 1230, 16: 17521, 18: 10098, 20: 12628, 22: 13809, 24: 13594, 26: 11930, 30: 19190}, ('Category Sum of Evens', 6, 4): {0: 1235, 18: 15534, 22: 22081, 24: 13471, 26: 13991, 28: 12906, 32: 20782}, ('Category Sum of Evens', 6, 5): {0: 1241, 20: 15114, 24: 21726, 26: 13874, 28: 15232, 30: 12927, 34: 19886}, ('Category Sum of Evens', 6, 6): {0: 1224, 22: 15886, 26: 21708, 28: 15982, 30: 15534, 32: 12014, 34: 17652}, ('Category Sum of Evens', 6, 7): {4: 1437, 24: 17624, 28: 24727, 30: 17083, 32: 13001, 34: 15604, 36: 10524}, ('Category Sum of Evens', 6, 8): {4: 1707, 24: 11310, 28: 20871, 30: 18101, 32: 12842, 34: 18840, 36: 16329}, ('Category Sum of Evens', 7, 1): {0: 6237, 8: 15390, 10: 11183, 12: 12690, 14: 12463, 16: 11578, 20: 17339, 22: 8870, 26: 4250}, ('Category Sum of Evens', 7, 2): {0: 1433, 14: 16705, 18: 19797, 20: 11747, 22: 12101, 24: 10947, 28: 16547, 32: 10723}, ('Category Sum of Evens', 7, 3): {0: 2135, 14: 5836, 20: 13766, 22: 10305, 24: 12043, 26: 13153, 28: 12644, 30: 10884, 34: 19234}, ('Category Sum of Evens', 7, 4): {0: 1762, 22: 16471, 26: 20839, 28: 12907, 30: 13018, 32: 11907, 34: 10022, 38: 13074}, ('Category Sum of Evens', 7, 5): {4: 1630, 24: 14719, 28: 20377, 30: 12713, 32: 13273, 34: 13412, 36: 10366, 40: 13510}, ('Category Sum of Evens', 7, 6): {4: 1436, 26: 14275, 30: 20680, 32: 12798, 34: 15385, 36: 13346, 38: 10011, 40: 12069}, ('Category Sum of Evens', 7, 7): {6: 2815, 24: 6584, 30: 16532, 32: 11106, 34: 15613, 36: 15702, 38: 12021, 40: 12478, 42: 7149}, ('Category Sum of Evens', 7, 8): {10: 1490, 30: 16831, 34: 23888, 36: 16970, 38: 12599, 40: 16137, 42: 12085}, ('Category Sum of Evens', 8, 1): {0: 3709, 8: 10876, 12: 19246, 14: 11696, 16: 11862, 18: 11145, 22: 16877, 24: 9272, 28: 5317}, ('Category Sum of Evens', 8, 2): {0: 1361, 16: 14530, 20: 17637, 22: 10922, 24: 11148, 26: 10879, 30: 17754, 34: 15769}, ('Category Sum of Evens', 8, 3): {2: 1601, 22: 14895, 26: 18464, 28: 11561, 30: 12249, 32: 11747, 34: 10070, 38: 19413}, ('Category Sum of Evens', 8, 4): {0: 2339, 20: 5286, 26: 11746, 30: 19858, 32: 12344, 34: 12243, 36: 11307, 40: 16632, 42: 8245}, ('Category Sum of Evens', 8, 5): {4: 1798, 28: 14824, 32: 18663, 34: 12180, 36: 12458, 38: 12260, 40: 10958, 44: 16859}, ('Category Sum of Evens', 8, 6): {6: 2908, 26: 6292, 32: 13573, 34: 10367, 36: 12064, 38: 12862, 40: 13920, 42: 11359, 46: 16655}, ('Category Sum of Evens', 8, 7): {8: 2652, 28: 6168, 34: 13922, 36: 10651, 38: 12089, 40: 14999, 42: 13899, 44: 10574, 46: 15046}, ('Category Sum of Evens', 8, 8): {10: 2547, 30: 6023, 36: 15354, 38: 10354, 40: 14996, 42: 16214, 44: 11803, 46: 13670, 48: 9039}, ('Category Double Threes and Fours', 1, 1): {0: 66749, 6: 16591, 8: 16660}, ('Category Double Threes and Fours', 1, 2): {0: 44675, 6: 27694, 8: 27631}, ('Category Double Threes and Fours', 1, 3): {0: 29592, 6: 35261, 8: 35147}, ('Category Double Threes and Fours', 1, 4): {0: 24601, 6: 29406, 8: 45993}, ('Category Double Threes and Fours', 1, 5): {0: 20499, 6: 24420, 8: 55081}, ('Category Double Threes and Fours', 1, 6): {0: 17116, 6: 20227, 8: 62657}, ('Category Double Threes and Fours', 1, 7): {0: 14193, 6: 17060, 8: 68747}, ('Category Double Threes and Fours', 1, 8): {0: 11977, 6: 13924, 8: 74099}, ('Category Double Threes and Fours', 2, 1): {0: 44382, 6: 22191, 8: 22251, 14: 11176}, ('Category Double Threes and Fours', 2, 2): {0: 19720, 6: 24652, 8: 24891, 14: 23096, 16: 7641}, ('Category Double Threes and Fours', 2, 3): {0: 8765, 6: 21008, 8: 20929, 12: 12201, 14: 24721, 16: 12376}, ('Category Double Threes and Fours', 2, 4): {0: 6164, 6: 14466, 8: 22828, 14: 35406, 16: 21136}, ('Category Double Threes and Fours', 2, 5): {0: 4307, 6: 10005, 8: 22620, 14: 32879, 16: 30189}, ('Category Double Threes and Fours', 2, 6): {0: 2879, 8: 28513, 14: 29530, 16: 39078}, ('Category Double Threes and Fours', 2, 7): {0: 2042, 8: 24335, 14: 26250, 16: 47373}, ('Category Double Threes and Fours', 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18: 12403, 22: 6137}, ('Category Double Threes and Fours', 4, 2): {0: 3972, 8: 19440, 14: 27646, 16: 12978, 20: 11442, 22: 11245, 24: 6728, 28: 6549}, ('Category Double Threes and Fours', 4, 3): {0: 745, 6: 7209, 14: 19403, 18: 11744, 20: 15371, 22: 15441, 26: 13062, 30: 17025}, ('Category Double Threes and Fours', 4, 4): {0: 371, 6: 4491, 14: 13120, 16: 10176, 20: 11583, 22: 18508, 24: 10280, 28: 15624, 30: 15847}, ('Category Double Threes and Fours', 4, 5): {0: 163, 6: 4251, 16: 15796, 22: 26145, 24: 17306, 28: 10930, 30: 16244, 32: 9165}, ('Category Double Threes and Fours', 4, 6): {0: 79, 16: 14439, 22: 21763, 24: 18861, 30: 29518, 32: 15340}, ('Category Double Threes and Fours', 4, 7): {0: 1042, 16: 12543, 22: 13634, 24: 20162, 30: 30259, 32: 22360}, ('Category Double Threes and Fours', 4, 8): {0: 20, 6: 2490, 16: 6901, 22: 10960, 24: 20269, 30: 29442, 32: 29918}, ('Category Double Threes and Fours', 5, 1): {0: 13122, 6: 16411, 8: 16451, 14: 24768, 16: 10392, 22: 14528, 26: 4328}, ('Category Double Threes and Fours', 5, 2): {0: 1676, 8: 10787, 14: 20218, 18: 11102, 20: 12668, 22: 12832, 26: 10994, 30: 15390, 34: 4333}, ('Category Double Threes and Fours', 5, 3): {0: 223, 14: 12365, 16: 7165, 20: 11385, 22: 11613, 26: 15182, 28: 13665, 32: 14400, 36: 14002}, ('Category Double Threes and Fours', 5, 4): {0: 95, 6: 2712, 16: 8862, 22: 18696, 26: 12373, 28: 13488, 30: 14319, 34: 12414, 38: 17041}, ('Category Double Threes and Fours', 5, 5): {0: 1333, 14: 5458, 22: 13613, 24: 10772, 28: 11201, 30: 16810, 32: 10248, 36: 14426, 38: 16139}, ('Category Double Threes and Fours', 5, 6): {0: 16, 16: 6354, 24: 16213, 30: 25369, 32: 16845, 36: 10243, 38: 15569, 40: 9391}, ('Category Double Threes and Fours', 5, 7): {0: 161, 12: 3457, 24: 12437, 30: 21495, 32: 18636, 38: 28581, 40: 15233}, ('Category Double Threes and Fours', 5, 8): {0: 478, 16: 4861, 26: 10119, 30: 13694, 32: 19681, 38: 29177, 40: 21990}, ('Category Double Threes and Fours', 6, 1): {0: 8738, 6: 13463, 8: 12988, 14: 24653, 16: 11068, 22: 19621, 26: 5157, 30: 4312}, ('Category Double Threes and Fours', 6, 2): {0: 784, 6: 5735, 14: 13407, 16: 8170, 20: 11349, 22: 11356, 26: 12465, 28: 10790, 30: 11527, 38: 14417}, ('Category Double Threes and Fours', 6, 3): {0: 72, 14: 8986, 22: 13700, 26: 12357, 28: 12114, 32: 15882, 36: 19286, 40: 13540, 44: 4063}, ('Category Double Threes and Fours', 6, 4): {0: 439, 18: 7427, 22: 9284, 28: 14203, 30: 10836, 34: 14646, 36: 12511, 38: 10194, 42: 10202, 46: 10258}, ('Category Double Threes and Fours', 6, 5): {0: 166, 20: 7618, 24: 5198, 30: 17479, 34: 12496, 36: 12190, 38: 14163, 42: 12571, 46: 18119}, ('Category Double Threes and Fours', 6, 6): {0: 1843, 22: 5905, 30: 12997, 32: 10631, 36: 10342, 38: 16439, 40: 10795, 44: 13485, 46: 17563}, ('Category Double Threes and Fours', 6, 7): {0: 31, 12: 2221, 24: 5004, 32: 15743, 38: 24402, 40: 17005, 46: 25241, 48: 10353}, ('Category Double Threes and Fours', 6, 8): {8: 79, 16: 4037, 32: 12559, 38: 20863, 40: 18347, 46: 27683, 48: 16432}, ('Category Double Threes and Fours', 7, 1): {0: 5803, 6: 10242, 8: 10404, 14: 22886, 16: 10934, 22: 19133, 24: 7193, 28: 8167, 32: 5238}, ('Category Double Threes and Fours', 7, 2): {0: 357, 14: 17082, 22: 17524, 26: 11974, 28: 11132, 32: 13186, 36: 13959, 40: 10028, 44: 4758}, ('Category Double Threes and Fours', 7, 3): {0: 361, 18: 7136, 22: 5983, 28: 13899, 32: 12974, 34: 10088, 36: 10081, 40: 14481, 44: 14127, 46: 6547, 50: 4323}, ('Category Double Threes and Fours', 7, 4): {0: 1182, 18: 4299, 30: 16331, 34: 11316, 36: 10741, 40: 16028, 44: 18815, 48: 15225, 52: 6063}, ('Category Double Threes and Fours', 7, 5): {0: 45, 12: 3763, 32: 17140, 38: 19112, 42: 13655, 44: 11990, 46: 11137, 50: 10646, 54: 12512}, ('Category Double Threes and Fours', 7, 6): {8: 2400, 28: 5277, 32: 5084, 38: 16047, 42: 12133, 44: 11451, 46: 14027, 50: 13198, 54: 20383}, ('Category Double Threes and Fours', 7, 7): {6: 1968, 30: 5585, 38: 12210, 40: 10376, 46: 25548, 48: 15392, 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28061}, + ("Category Inverse Choice", 3, 4): {3: 7212, 13: 32000, 15: 22707, 17: 38081}, + ("Category Inverse Choice", 3, 5): {3: 7989, 11: 10756, 14: 23811, 16: 21668, 18: 35776}, + ("Category Inverse Choice", 3, 6): {3: 3251, 10: 10272, 14: 21653, 17: 37049, 18: 27775}, + ("Category Inverse Choice", 3, 7): {3: 1018, 9: 8591, 15: 28080, 17: 26469, 18: 35842}, + ("Category Inverse Choice", 3, 8): {3: 6842, 15: 25118, 17: 24534, 18: 43506}, + ("Category Inverse Choice", 4, 0): {0: 100000}, + ("Category Inverse Choice", 4, 1): {4: 5386, 9: 10561, 13: 28501, 15: 21902, 17: 23999, 19: 9651}, + ("Category Inverse Choice", 4, 2): {4: 7510, 12: 10646, 16: 28145, 18: 22596, 19: 17705, 21: 13398}, + ("Category Inverse Choice", 4, 3): {4: 2392, 11: 8547, 14: 13300, 18: 29887, 20: 21680, 21: 15876, 23: 8318}, + ("Category Inverse Choice", 4, 4): {4: 2258, 12: 8230, 15: 12216, 19: 31486, 21: 20698, 23: 25112}, + ("Category Inverse Choice", 4, 5): {4: 2209, 13: 8484, 16: 11343, 19: 21913, 21: 21675, 23: 34376}, + ("Category Inverse Choice", 4, 6): {4: 2179, 14: 8704, 17: 12056, 20: 23300, 22: 20656, 24: 33105}, + ("Category Inverse Choice", 4, 7): {5: 7652, 19: 20489, 21: 20365, 23: 26176, 24: 25318}, + ("Category Inverse Choice", 4, 8): {5: 3231, 16: 8958, 21: 28789, 23: 25837, 24: 33185}, + ("Category Inverse Choice", 5, 0): {0: 100000}, + ("Category Inverse Choice", 5, 1): {5: 1575, 10: 8293, 13: 12130, 17: 28045, 20: 40099, 23: 9858}, + ("Category Inverse Choice", 5, 2): {5: 3298, 14: 10211, 17: 13118, 21: 28204, 24: 34078, 26: 11091}, + ("Category Inverse Choice", 5, 3): {6: 2633, 15: 8316, 18: 11302, 22: 26605, 24: 20431, 26: 22253, 28: 8460}, + ("Category Inverse Choice", 5, 4): {5: 4084, 17: 9592, 20: 13422, 24: 28620, 26: 20353, 27: 14979, 29: 8950}, + ("Category Inverse Choice", 5, 5): {6: 348, 14: 8075, 20: 10195, 22: 14679, 25: 22335, 28: 28253, 29: 16115}, + ("Category Inverse Choice", 5, 6): {7: 3204, 19: 9258, 22: 11859, 25: 21412, 27: 20895, 29: 33372}, + 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20423, 33: 20469, 35: 34565}, + ("Category Inverse Choice", 6, 8): {12: 3450, 26: 9544, 29: 12230, 32: 22130, 35: 33671, 36: 18975}, + ("Category Inverse Choice", 7, 0): {0: 100000}, + ("Category Inverse Choice", 7, 1): {7: 1237, 15: 8100, 21: 23947, 25: 25361, 27: 22186, 31: 19169}, + ("Category Inverse Choice", 7, 2): {10: 2086, 20: 8960, 26: 23657, 30: 25264, 31: 15759, 33: 12356, 35: 11918}, + ("Category Inverse Choice", 7, 3): {10: 4980, 24: 9637, 27: 11247, 29: 15046, 33: 33492, 35: 13130, 37: 12468}, + ("Category Inverse Choice", 7, 4): {13: 2260, 24: 8651, 30: 23022, 34: 25656, 37: 29910, 39: 10501}, + ("Category Inverse Choice", 7, 5): {12: 3879, 27: 8154, 30: 10292, 32: 14692, 36: 27425, 38: 23596, 40: 11962}, + ("Category Inverse Choice", 7, 6): {14: 1957, 27: 8230, 33: 23945, 37: 29286, 39: 24519, 41: 12063}, + ("Category Inverse Choice", 7, 7): {16: 599, 26: 8344, 34: 22981, 37: 20883, 40: 28045, 42: 19148}, + ("Category Inverse Choice", 7, 8): {14: 3639, 31: 8907, 34: 10904, 37: 20148, 39: 20219, 41: 21627, 42: 14556}, + ("Category Inverse Choice", 8, 0): {0: 100000}, + ("Category Inverse Choice", 8, 1): {10: 752, 17: 8385, 24: 21460, 26: 15361, 29: 23513, 31: 12710, 35: 17819}, + ("Category Inverse Choice", 8, 2): { + 11: 5900, + 26: 10331, + 29: 11435, + 31: 14533, + 34: 23939, + 36: 13855, + 38: 10165, + 40: 9842, + }, + ("Category Inverse Choice", 8, 3): {12: 2241, 26: 8099, 32: 20474, 34: 14786, 38: 31140, 40: 11751, 42: 11509}, + ("Category Inverse Choice", 8, 4): {16: 1327, 27: 8361, 34: 19865, 36: 15078, 40: 32325, 42: 12218, 44: 10826}, + ("Category Inverse Choice", 8, 5): { + 16: 4986, + 32: 9031, + 35: 10214, + 37: 14528, + 41: 25608, + 42: 16131, + 44: 11245, + 46: 8257, + }, + ("Category Inverse Choice", 8, 6): {16: 2392, 32: 8742, 38: 23237, 42: 26333, 45: 30725, 47: 8571}, + ("Category Inverse Choice", 8, 7): {20: 1130, 32: 8231, 39: 22137, 43: 28783, 45: 25221, 47: 14498}, + ("Category Inverse Choice", 8, 8): {20: 73, 28: 8033, 40: 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100000}, + ("Category Pair", 7, 4): {10: 100000}, + ("Category Pair", 7, 5): {10: 100000}, + ("Category Pair", 7, 6): {10: 100000}, + ("Category Pair", 7, 7): {10: 100000}, + ("Category Pair", 7, 8): {10: 100000}, + ("Category Pair", 8, 0): {0: 100000}, + ("Category Pair", 8, 1): {10: 100000}, + ("Category Pair", 8, 2): {10: 100000}, + ("Category Pair", 8, 3): {10: 100000}, + ("Category Pair", 8, 4): {10: 100000}, + ("Category Pair", 8, 5): {10: 100000}, + ("Category Pair", 8, 6): {10: 100000}, + ("Category Pair", 8, 7): {10: 100000}, + ("Category Pair", 8, 8): {10: 100000}, + ("Category Three of a Kind", 0, 0): {0: 100000}, + ("Category Three of a Kind", 0, 1): {0: 100000}, + ("Category Three of a Kind", 0, 2): {0: 100000}, + ("Category Three of a Kind", 0, 3): {0: 100000}, + ("Category Three of a Kind", 0, 4): {0: 100000}, + ("Category Three of a Kind", 0, 5): {0: 100000}, + ("Category Three of a Kind", 0, 6): {0: 100000}, + ("Category Three of a Kind", 0, 7): {0: 100000}, + ("Category Three of a Kind", 0, 8): {0: 100000}, + ("Category Three of a Kind", 1, 0): {0: 100000}, + ("Category Three of a Kind", 1, 1): {0: 100000}, + ("Category Three of a Kind", 1, 2): {0: 100000}, + ("Category Three of a Kind", 1, 3): {0: 100000}, + ("Category Three of a Kind", 1, 4): {0: 100000}, + ("Category Three of a Kind", 1, 5): {0: 100000}, + ("Category Three of a Kind", 1, 6): {0: 100000}, + ("Category Three of a Kind", 1, 7): {0: 100000}, + ("Category Three of a Kind", 1, 8): {0: 100000}, + ("Category Three of a Kind", 2, 0): {0: 100000}, + ("Category Three of a Kind", 2, 1): {0: 100000}, + ("Category Three of a Kind", 2, 2): {0: 100000}, + ("Category Three of a Kind", 2, 3): {0: 100000}, + ("Category Three of a Kind", 2, 4): {0: 100000}, + ("Category Three of a Kind", 2, 5): {0: 100000}, + ("Category Three of a Kind", 2, 6): {0: 100000}, + ("Category Three of a Kind", 2, 7): {0: 100000}, + ("Category Three of a Kind", 2, 8): {0: 100000}, + ("Category Three of a Kind", 3, 0): {0: 100000}, + ("Category Three of a Kind", 3, 1): {0: 97222, 20: 2778}, + ("Category Three of a Kind", 3, 2): {0: 88880, 20: 11120}, + ("Category Three of a Kind", 3, 3): {0: 78187, 20: 21813}, + ("Category Three of a Kind", 3, 4): {0: 67476, 20: 32524}, + ("Category Three of a Kind", 3, 5): {0: 57476, 20: 42524}, + ("Category Three of a Kind", 3, 6): {0: 48510, 20: 51490}, + ("Category Three of a Kind", 3, 7): {0: 40921, 20: 59079}, + ("Category Three of a Kind", 3, 8): {0: 34533, 20: 65467}, + ("Category Three of a Kind", 4, 0): {0: 100000}, + ("Category Three of a Kind", 4, 1): {0: 90316, 20: 9684}, + ("Category Three of a Kind", 4, 2): {0: 68401, 20: 31599}, + ("Category Three of a Kind", 4, 3): {0: 49383, 20: 50617}, + ("Category Three of a Kind", 4, 4): {0: 34399, 20: 65601}, + ("Category Three of a Kind", 4, 5): {0: 24154, 20: 75846}, + ("Category Three of a Kind", 4, 6): {0: 16802, 20: 83198}, + ("Category Three of a Kind", 4, 7): {0: 11623, 20: 88377}, + ("Category Three 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+ ("Category Three Distinct Dice", 1, 7): {0: 100000}, + ("Category Three Distinct Dice", 1, 8): {0: 100000}, + ("Category Three Distinct Dice", 2, 1): {0: 100000}, + ("Category Three Distinct Dice", 2, 2): {0: 100000}, + ("Category Three Distinct Dice", 2, 3): {0: 100000}, + ("Category Three Distinct Dice", 2, 4): {0: 100000}, + ("Category Three Distinct Dice", 2, 5): {0: 100000}, + ("Category Three Distinct Dice", 2, 6): {0: 100000}, + ("Category Three Distinct Dice", 2, 7): {0: 100000}, + ("Category Three Distinct Dice", 2, 8): {0: 100000}, + ("Category Three Distinct Dice", 3, 1): {0: 44707, 20: 55293}, + ("Category Three Distinct Dice", 3, 2): {0: 15078, 20: 84922}, + ("Category Three Distinct Dice", 3, 3): {0: 5056, 20: 94944}, + ("Category Three Distinct Dice", 3, 4): {0: 1688, 20: 98312}, + ("Category Three Distinct Dice", 3, 5): {0: 516, 20: 99484}, + ("Category Three Distinct Dice", 3, 6): {0: 182, 20: 99818}, + ("Category Three Distinct Dice", 3, 7): {0: 56, 20: 99944}, + ("Category Three Distinct Dice", 3, 8): {0: 15, 20: 99985}, + ("Category Three Distinct Dice", 4, 1): {0: 16721, 20: 83279}, + ("Category Three Distinct Dice", 4, 2): {0: 1826, 20: 98174}, + ("Category Three Distinct Dice", 4, 3): {0: 203, 20: 99797}, + ("Category Three Distinct Dice", 4, 4): {0: 18, 20: 99982}, + ("Category Three Distinct Dice", 4, 5): {0: 3, 20: 99997}, + ("Category Three Distinct Dice", 4, 6): {20: 100000}, + ("Category Three Distinct Dice", 4, 7): {20: 100000}, + ("Category Three Distinct Dice", 4, 8): {20: 100000}, + ("Category Three Distinct Dice", 5, 1): {0: 5904, 20: 94096}, + ("Category Three Distinct Dice", 5, 2): {0: 236, 20: 99764}, + ("Category Three Distinct Dice", 5, 3): {0: 12, 20: 99988}, + ("Category Three Distinct Dice", 5, 4): {20: 100000}, + ("Category Three Distinct Dice", 5, 5): {20: 100000}, + ("Category Three Distinct Dice", 5, 6): {20: 100000}, + ("Category Three Distinct Dice", 5, 7): {20: 100000}, + ("Category Three Distinct Dice", 5, 8): {20: 100000}, + ("Category Three Distinct Dice", 6, 1): {0: 1992, 20: 98008}, + ("Category Three Distinct Dice", 6, 2): {0: 21, 20: 99979}, + ("Category Three Distinct Dice", 6, 3): {20: 100000}, + ("Category Three Distinct Dice", 6, 4): {20: 100000}, + ("Category Three Distinct Dice", 6, 5): {20: 100000}, + ("Category Three Distinct Dice", 6, 6): {20: 100000}, + ("Category Three Distinct Dice", 6, 7): {20: 100000}, + ("Category Three Distinct Dice", 6, 8): {20: 100000}, + ("Category Three Distinct Dice", 7, 1): {0: 692, 20: 99308}, + ("Category Three Distinct Dice", 7, 2): {0: 4, 20: 99996}, + ("Category Three Distinct Dice", 7, 3): {20: 100000}, + ("Category Three Distinct Dice", 7, 4): {20: 100000}, + ("Category Three Distinct Dice", 7, 5): {20: 100000}, + ("Category Three Distinct Dice", 7, 6): {20: 100000}, + ("Category Three Distinct Dice", 7, 7): {20: 100000}, + ("Category Three Distinct Dice", 7, 8): {20: 100000}, + ("Category Three Distinct Dice", 8, 1): {0: 243, 20: 99757}, + ("Category Three Distinct Dice", 8, 2): {0: 1, 20: 99999}, + ("Category Three Distinct Dice", 8, 3): {20: 100000}, + ("Category Three Distinct Dice", 8, 4): {20: 100000}, + ("Category Three Distinct Dice", 8, 5): {20: 100000}, + ("Category Three Distinct Dice", 8, 6): {20: 100000}, + ("Category Three Distinct Dice", 8, 7): {20: 100000}, + ("Category Three Distinct Dice", 8, 8): {20: 100000}, + ("Category Two Pair", 1, 1): {0: 100000}, + ("Category Two Pair", 1, 2): {0: 100000}, + ("Category Two Pair", 1, 3): {0: 100000}, + ("Category Two Pair", 1, 4): {0: 100000}, + ("Category Two Pair", 1, 5): {0: 100000}, + ("Category Two Pair", 1, 6): {0: 100000}, + ("Category Two Pair", 1, 7): {0: 100000}, + ("Category Two Pair", 1, 8): {0: 100000}, + ("Category Two Pair", 2, 1): {0: 100000}, + ("Category Two Pair", 2, 2): {0: 100000}, + ("Category Two Pair", 2, 3): {0: 100000}, + ("Category Two Pair", 2, 4): {0: 100000}, + ("Category Two Pair", 2, 5): {0: 100000}, + ("Category Two Pair", 2, 6): {0: 100000}, + ("Category Two Pair", 2, 7): {0: 100000}, + ("Category Two Pair", 2, 8): {0: 100000}, + ("Category Two Pair", 3, 1): {0: 100000}, + ("Category Two Pair", 3, 2): {0: 100000}, + ("Category Two Pair", 3, 3): {0: 100000}, + ("Category Two Pair", 3, 4): {0: 100000}, + ("Category Two Pair", 3, 5): {0: 100000}, + ("Category Two Pair", 3, 6): {0: 100000}, + ("Category Two Pair", 3, 7): {0: 100000}, + ("Category Two Pair", 3, 8): {0: 100000}, + ("Category Two Pair", 4, 1): {0: 93065, 30: 6935}, + ("Category Two Pair", 4, 2): {0: 82102, 30: 17898}, + ("Category Two Pair", 4, 3): {0: 71209, 30: 28791}, + ("Category Two Pair", 4, 4): {0: 61609, 30: 38391}, + ("Category Two Pair", 4, 5): {0: 53036, 30: 46964}, + ("Category Two Pair", 4, 6): {0: 45705, 30: 54295}, + ("Category Two Pair", 4, 7): {0: 39398, 30: 60602}, + ("Category Two Pair", 4, 8): {0: 33673, 30: 66327}, + ("Category Two Pair", 5, 1): {0: 72847, 30: 27153}, + ("Category Two Pair", 5, 2): {0: 46759, 30: 53241}, + ("Category Two Pair", 5, 3): {0: 29462, 30: 70538}, + ("Category Two Pair", 5, 4): {0: 18351, 30: 81649}, + ("Category Two Pair", 5, 5): {0: 11793, 30: 88207}, + ("Category Two Pair", 5, 6): {0: 7385, 30: 92615}, + ("Category Two Pair", 5, 7): {0: 4610, 30: 95390}, + ("Category Two Pair", 5, 8): {0: 2938, 30: 97062}, + ("Category Two Pair", 6, 1): {0: 44431, 30: 55569}, + ("Category Two Pair", 6, 2): {0: 17183, 30: 82817}, + ("Category Two Pair", 6, 3): {0: 6759, 30: 93241}, + ("Category Two Pair", 6, 4): {0: 2562, 30: 97438}, + ("Category Two Pair", 6, 5): {0: 948, 30: 99052}, + ("Category Two Pair", 6, 6): {0: 375, 30: 99625}, + ("Category Two Pair", 6, 7): {0: 138, 30: 99862}, + ("Category Two Pair", 6, 8): {0: 57, 30: 99943}, + ("Category Two Pair", 7, 1): {0: 19888, 30: 80112}, + ("Category Two Pair", 7, 2): {0: 3935, 30: 96065}, + ("Category Two Pair", 7, 3): {0: 801, 30: 99199}, + ("Category Two Pair", 7, 4): {0: 175, 30: 99825}, + ("Category Two Pair", 7, 5): {0: 31, 30: 99969}, + ("Category Two Pair", 7, 6): {0: 7, 30: 99993}, + ("Category Two Pair", 7, 7): {0: 2, 30: 99998}, + ("Category Two Pair", 7, 8): {30: 100000}, + ("Category Two Pair", 8, 1): {0: 6791, 30: 93209}, + ("Category Two Pair", 8, 2): {0: 588, 30: 99412}, + ("Category Two Pair", 8, 3): {0: 61, 30: 99939}, + ("Category Two Pair", 8, 4): {0: 6, 30: 99994}, + ("Category Two Pair", 8, 5): {30: 100000}, + ("Category Two Pair", 8, 6): {30: 100000}, + ("Category Two Pair", 8, 7): {30: 100000}, + ("Category Two Pair", 8, 8): {30: 100000}, + ("Category 2-1-2 Consecutive", 1, 1): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 2): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 3): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 4): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 5): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 6): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 7): {0: 100000}, + ("Category 2-1-2 Consecutive", 1, 8): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 1): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 2): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 3): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 4): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 5): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 6): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 7): {0: 100000}, + ("Category 2-1-2 Consecutive", 2, 8): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 1): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 2): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 3): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 4): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 5): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 6): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 7): {0: 100000}, + ("Category 2-1-2 Consecutive", 3, 8): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 1): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 2): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 3): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 4): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 5): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 6): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 7): {0: 100000}, + ("Category 2-1-2 Consecutive", 4, 8): {0: 100000}, + ("Category 2-1-2 Consecutive", 5, 1): {0: 98403, 40: 1597}, + ("Category 2-1-2 Consecutive", 5, 2): {0: 90651, 40: 9349}, + ("Category 2-1-2 Consecutive", 5, 3): {0: 80100, 40: 19900}, + ("Category 2-1-2 Consecutive", 5, 4): {0: 69131, 40: 30869}, + ("Category 2-1-2 Consecutive", 5, 5): {0: 58252, 40: 41748}, + ("Category 2-1-2 Consecutive", 5, 6): {0: 49405, 40: 50595}, + ("Category 2-1-2 Consecutive", 5, 7): {0: 41585, 40: 58415}, + ("Category 2-1-2 Consecutive", 5, 8): {0: 34952, 40: 65048}, + ("Category 2-1-2 Consecutive", 6, 1): {0: 93465, 40: 6535}, + ("Category 2-1-2 Consecutive", 6, 2): {0: 73416, 40: 26584}, + ("Category 2-1-2 Consecutive", 6, 3): {0: 54041, 40: 45959}, + ("Category 2-1-2 Consecutive", 6, 4): {0: 38535, 40: 61465}, + ("Category 2-1-2 Consecutive", 6, 5): {0: 27366, 40: 72634}, + ("Category 2-1-2 Consecutive", 6, 6): {0: 18924, 40: 81076}, + ("Category 2-1-2 Consecutive", 6, 7): {0: 13387, 40: 86613}, + ("Category 2-1-2 Consecutive", 6, 8): {0: 9134, 40: 90866}, + ("Category 2-1-2 Consecutive", 7, 1): {0: 84168, 40: 15832}, + ("Category 2-1-2 Consecutive", 7, 2): {0: 52659, 40: 47341}, + ("Category 2-1-2 Consecutive", 7, 3): {0: 30435, 40: 69565}, + ("Category 2-1-2 Consecutive", 7, 4): {0: 17477, 40: 82523}, + ("Category 2-1-2 Consecutive", 7, 5): {0: 9782, 40: 90218}, + ("Category 2-1-2 Consecutive", 7, 6): {0: 5316, 40: 94684}, + ("Category 2-1-2 Consecutive", 7, 7): {0: 2995, 40: 97005}, + ("Category 2-1-2 Consecutive", 7, 8): {0: 1689, 40: 98311}, + ("Category 2-1-2 Consecutive", 8, 1): {0: 71089, 40: 28911}, + ("Category 2-1-2 Consecutive", 8, 2): {0: 33784, 40: 66216}, + ("Category 2-1-2 Consecutive", 8, 3): {0: 14820, 40: 85180}, + ("Category 2-1-2 Consecutive", 8, 4): {0: 6265, 40: 93735}, + ("Category 2-1-2 Consecutive", 8, 5): {0: 2600, 40: 97400}, + ("Category 2-1-2 Consecutive", 8, 6): {0: 1155, 40: 98845}, + ("Category 2-1-2 Consecutive", 8, 7): {0: 487, 40: 99513}, + ("Category 2-1-2 Consecutive", 8, 8): {0: 190, 40: 99810}, + ("Category Five Distinct Dice", 1, 1): {0: 100000}, + ("Category Five Distinct Dice", 1, 2): {0: 100000}, + ("Category Five Distinct Dice", 1, 3): {0: 100000}, + ("Category Five Distinct Dice", 1, 4): {0: 100000}, + ("Category Five Distinct Dice", 1, 5): {0: 100000}, + ("Category Five Distinct Dice", 1, 6): {0: 100000}, + ("Category Five Distinct Dice", 1, 7): {0: 100000}, + ("Category Five Distinct Dice", 1, 8): {0: 100000}, + ("Category Five Distinct Dice", 2, 1): {0: 100000}, + ("Category Five Distinct Dice", 2, 2): {0: 100000}, + ("Category Five Distinct Dice", 2, 3): {0: 100000}, + ("Category Five Distinct Dice", 2, 4): {0: 100000}, + ("Category Five Distinct Dice", 2, 5): {0: 100000}, + ("Category Five Distinct Dice", 2, 6): {0: 100000}, + ("Category Five Distinct Dice", 2, 7): {0: 100000}, + ("Category Five Distinct Dice", 2, 8): {0: 100000}, + ("Category Five Distinct Dice", 3, 1): {0: 100000}, + ("Category Five Distinct Dice", 3, 2): {0: 100000}, + ("Category Five Distinct Dice", 3, 3): {0: 100000}, + ("Category Five Distinct Dice", 3, 4): {0: 100000}, + ("Category Five Distinct Dice", 3, 5): {0: 100000}, + ("Category Five Distinct Dice", 3, 6): {0: 100000}, + ("Category Five Distinct Dice", 3, 7): {0: 100000}, + ("Category Five Distinct Dice", 3, 8): {0: 100000}, + ("Category Five Distinct Dice", 4, 1): {0: 100000}, + ("Category Five Distinct Dice", 4, 2): {0: 100000}, + ("Category Five Distinct Dice", 4, 3): {0: 100000}, + ("Category Five Distinct Dice", 4, 4): {0: 100000}, + ("Category Five Distinct Dice", 4, 5): {0: 100000}, + ("Category Five Distinct Dice", 4, 6): {0: 100000}, + ("Category Five Distinct Dice", 4, 7): {0: 100000}, + ("Category Five Distinct Dice", 4, 8): {0: 100000}, + ("Category Five Distinct Dice", 5, 1): {0: 90907, 25: 9093}, + ("Category Five Distinct Dice", 5, 2): {0: 68020, 25: 31980}, + ("Category Five Distinct Dice", 5, 3): {0: 47692, 25: 52308}, + ("Category Five Distinct Dice", 5, 4): {0: 32383, 25: 67617}, + ("Category Five Distinct Dice", 5, 5): {0: 21631, 25: 78369}, + ("Category Five Distinct Dice", 5, 6): {0: 14366, 25: 85634}, + ("Category Five Distinct Dice", 5, 7): {0: 9568, 25: 90432}, + ("Category Five Distinct Dice", 5, 8): {0: 6360, 25: 93640}, + ("Category Five Distinct Dice", 6, 1): {0: 75051, 25: 24949}, + ("Category Five Distinct Dice", 6, 2): {0: 38409, 25: 61591}, + ("Category Five Distinct Dice", 6, 3): {0: 17505, 25: 82495}, + ("Category Five Distinct Dice", 6, 4): {0: 7862, 25: 92138}, + ("Category Five Distinct Dice", 6, 5): {0: 3538, 25: 96462}, + ("Category Five Distinct Dice", 6, 6): {0: 1645, 25: 98355}, + ("Category Five Distinct Dice", 6, 7): {0: 714, 25: 99286}, + ("Category Five Distinct Dice", 6, 8): {0: 341, 25: 99659}, + ("Category Five Distinct Dice", 7, 1): {0: 58588, 25: 41412}, + ("Category Five Distinct Dice", 7, 2): {0: 19487, 25: 80513}, + ("Category Five Distinct Dice", 7, 3): {0: 6043, 25: 93957}, + ("Category Five Distinct Dice", 7, 4): {0: 1799, 25: 98201}, + ("Category Five Distinct Dice", 7, 5): {0: 544, 25: 99456}, + ("Category Five Distinct Dice", 7, 6): {0: 169, 25: 99831}, + ("Category Five Distinct Dice", 7, 7): {0: 59, 25: 99941}, + ("Category Five Distinct Dice", 7, 8): {0: 11, 25: 99989}, + ("Category Five Distinct Dice", 8, 1): {0: 43586, 25: 56414}, + ("Category Five Distinct Dice", 8, 2): {0: 9615, 25: 90385}, + ("Category Five Distinct Dice", 8, 3): {0: 1944, 25: 98056}, + ("Category Five Distinct Dice", 8, 4): {0: 383, 25: 99617}, + ("Category Five Distinct Dice", 8, 5): {0: 77, 25: 99923}, + ("Category Five Distinct Dice", 8, 6): {0: 18, 25: 99982}, + ("Category Five Distinct Dice", 8, 7): {0: 3, 25: 99997}, + ("Category Five Distinct Dice", 8, 8): {0: 2, 25: 99998}, + ("Category 4&5 Full House", 1, 1): {0: 100000}, + ("Category 4&5 Full House", 1, 2): {0: 100000}, + ("Category 4&5 Full House", 1, 3): {0: 100000}, + ("Category 4&5 Full House", 1, 4): {0: 100000}, + ("Category 4&5 Full House", 1, 5): {0: 100000}, + ("Category 4&5 Full House", 1, 6): {0: 100000}, + ("Category 4&5 Full House", 1, 7): {0: 100000}, + ("Category 4&5 Full House", 1, 8): {0: 100000}, + ("Category 4&5 Full House", 2, 1): {0: 100000}, + ("Category 4&5 Full House", 2, 2): {0: 100000}, + ("Category 4&5 Full House", 2, 3): {0: 100000}, + ("Category 4&5 Full House", 2, 4): {0: 100000}, + ("Category 4&5 Full House", 2, 5): {0: 100000}, + ("Category 4&5 Full House", 2, 6): {0: 100000}, + ("Category 4&5 Full House", 2, 7): {0: 100000}, + ("Category 4&5 Full House", 2, 8): {0: 100000}, + ("Category 4&5 Full House", 3, 1): {0: 100000}, + ("Category 4&5 Full House", 3, 2): {0: 100000}, + ("Category 4&5 Full House", 3, 3): {0: 100000}, + ("Category 4&5 Full House", 3, 4): {0: 100000}, + ("Category 4&5 Full House", 3, 5): {0: 100000}, + ("Category 4&5 Full House", 3, 6): {0: 100000}, + ("Category 4&5 Full House", 3, 7): {0: 100000}, + ("Category 4&5 Full House", 3, 8): {0: 100000}, + ("Category 4&5 Full House", 4, 1): {0: 100000}, + ("Category 4&5 Full House", 4, 2): {0: 100000}, + ("Category 4&5 Full House", 4, 3): {0: 100000}, + ("Category 4&5 Full House", 4, 4): {0: 100000}, + ("Category 4&5 Full House", 4, 5): {0: 100000}, + ("Category 4&5 Full House", 4, 6): {0: 100000}, + ("Category 4&5 Full House", 4, 7): {0: 100000}, + ("Category 4&5 Full House", 4, 8): {0: 100000}, + ("Category 4&5 Full House", 5, 1): {0: 99724, 50: 276}, + ("Category 4&5 Full House", 5, 2): {0: 96607, 50: 3393}, + ("Category 4&5 Full House", 5, 3): {0: 88788, 50: 11212}, + ("Category 4&5 Full House", 5, 4): {0: 77799, 50: 22201}, + ("Category 4&5 Full House", 5, 5): {0: 65797, 50: 34203}, + ("Category 4&5 Full House", 5, 6): {0: 54548, 50: 45452}, + ("Category 4&5 Full House", 5, 7): {0: 44898, 50: 55102}, + ("Category 4&5 Full House", 5, 8): {0: 36881, 50: 63119}, + ("Category 4&5 Full House", 6, 1): {0: 98841, 50: 1159}, + ("Category 4&5 Full House", 6, 2): {0: 88680, 50: 11320}, + ("Category 4&5 Full House", 6, 3): {0: 70215, 50: 29785}, + ("Category 4&5 Full House", 6, 4): {0: 50801, 50: 49199}, + ("Category 4&5 Full House", 6, 5): {0: 35756, 50: 64244}, + ("Category 4&5 Full House", 6, 6): {0: 24698, 50: 75302}, + ("Category 4&5 Full House", 6, 7): {0: 17145, 50: 82855}, + ("Category 4&5 Full House", 6, 8): {0: 11846, 50: 88154}, + ("Category 4&5 Full House", 7, 1): {0: 97090, 50: 2910}, + ("Category 4&5 Full House", 7, 2): {0: 77440, 50: 22560}, + ("Category 4&5 Full House", 7, 3): {0: 51372, 50: 48628}, + ("Category 4&5 Full House", 7, 4): {0: 30566, 50: 69434}, + ("Category 4&5 Full House", 7, 5): {0: 17866, 50: 82134}, + ("Category 4&5 Full House", 7, 6): {0: 10521, 50: 89479}, + ("Category 4&5 Full House", 7, 7): {0: 6204, 50: 93796}, + ("Category 4&5 Full House", 7, 8): {0: 3670, 50: 96330}, + ("Category 4&5 Full House", 8, 1): {0: 94172, 50: 5828}, + ("Category 4&5 Full House", 8, 2): {0: 64693, 50: 35307}, + ("Category 4&5 Full House", 8, 3): {0: 35293, 50: 64707}, + ("Category 4&5 Full House", 8, 4): {0: 17749, 50: 82251}, + ("Category 4&5 Full House", 8, 5): {0: 8740, 50: 91260}, + ("Category 4&5 Full House", 8, 6): {0: 4550, 50: 95450}, + ("Category 4&5 Full House", 8, 7): {0: 2218, 50: 97782}, + ("Category 4&5 Full House", 8, 8): {0: 1084, 50: 98916}, +} diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 7ca906c01b31..6e68ed628d19 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -96,11 +96,10 @@ def generate_early(self): else: raise Exception(f"[Yacht Dice] Unknown MinimalNumberOfDiceAndRolls options {opt_dice_and_rolls}") - # amount of dice and roll fragments needed to get a dice or roll self.frags_per_dice = self.options.number_of_dice_fragments_per_dice.value self.frags_per_roll = self.options.number_of_roll_fragments_per_roll.value - + if self.options.minimize_extra_items == MinimizeExtraItems.option_yes_please: self.frags_per_dice = min(self.frags_per_dice, 2) self.frags_per_roll = min(self.frags_per_roll, 2) @@ -164,7 +163,7 @@ def generate_early(self): num_of_dice_to_add = num_of_dice - 1 self.precollected.append("Roll") num_of_rolls_to_add = num_of_rolls - 1 - + self.skip_early_locations = False if self.options.minimize_extra_items == MinimizeExtraItems.option_yes_please: self.precollected.append("Dice") @@ -172,7 +171,7 @@ def generate_early(self): self.precollected.append("Roll") num_of_rolls_to_add -= 1 self.skip_early_locations = True - + if num_of_dice_to_add > 0: self.itempool.append("Dice") num_of_dice_to_add -= 1 @@ -180,7 +179,6 @@ def generate_early(self): self.itempool.append("Roll") num_of_rolls_to_add -= 1 - # if one fragment per dice, just add "Dice" objects if num_of_dice_to_add > 0: if self.frags_per_dice == 1: @@ -447,7 +445,14 @@ def create_items(self): def create_regions(self): # call the ini_locations function, that generates locations based on the inputs. - location_table = ini_locations(self.goal_score, self.max_score, self.number_of_locations, self.difficulty, self.skip_early_locations, self.multiworld.players) + location_table = ini_locations( + self.goal_score, + self.max_score, + self.number_of_locations, + self.difficulty, + self.skip_early_locations, + self.multiworld.players, + ) # simple menu-board construction menu = Region("Menu", self.player, self.multiworld) From 19966a4e1db1c1820511b2633a133cf0916c6e0f Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 23 Jul 2024 19:18:11 +0200 Subject: [PATCH 108/127] Removed printing options --- worlds/yachtdice/__init__.py | 1 - 1 file changed, 1 deletion(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 6e68ed628d19..c36c59544f15 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -68,7 +68,6 @@ def _get_yachtdice_data(self): } def generate_early(self): - print(self.options) """ In generate early, we fill the item-pool, then determine the number of locations, and add filler items. """ From 45776e1725a2b769b59af5d306d6afad389034f6 Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 30 Jul 2024 21:02:34 +0200 Subject: [PATCH 109/127] Reworded some option descriptions --- worlds/yachtdice/Options.py | 23 ++++++++++++----------- 1 file changed, 12 insertions(+), 11 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index 07b759e4e6da..e687936224c3 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -36,7 +36,7 @@ class ScoreForLastCheck(Range): class ScoreForGoal(Range): """ This option determines what score you need to reach to finish the game. - It cannot be higher than the score for the last check (if it is, it is changed automatically). + It cannot be higher than the score for the last check (if it is, this option is changed automatically). """ display_name = "Score for goal" @@ -96,7 +96,7 @@ class AlternativeCategories(Range): These alternative categories can be randomly selected to replace the default categories. They are a little strange, but can give a fun new experience. In the game, you can hover over categories to check what they do. - How many alternative categories would you like to see in your game? + This option determines the number of alternative categories in your game. """ display_name = "Number of alternative categories" @@ -169,7 +169,10 @@ class ChanceOfDoubleCategory(Range): class ChanceOfPoints(Range): """ - Getting points gives you... points. You can get 1 point, 10 points, and even 100 points. + Are you tired of rolling dice countless times and tallying up points one by one, all by yourself? + Worry not, as this option will simply add some points items to the item pool! + And getting one of these points items gives you... points! + Imagine how nice it would be to find tons of them. Or even better, having others find them FOR you! """ display_name = "Weight of adding Points" @@ -180,8 +183,8 @@ class ChanceOfPoints(Range): class PointsSize(Choice): """ - If you choose to add points to the item pool, do you prefer many small points, - medium-size points, a few larger points, or a mix of them? + If you choose to add points to the item pool, you can choose to have many small points, + medium-size points, a few larger points, or a mix of them. """ display_name = "Size of points" @@ -211,7 +214,7 @@ class MinimizeExtraItems(Choice): class AddExtraPoints(Choice): """ Yacht Dice typically has space for extra items. - If there is space, would you like bonus points shuffled in the item pool? + This option determines if bonus points are put into the item pool. They make the game a little bit easier, as they are not considered in the logic. All Of It: fill all locations with extra points @@ -229,7 +232,7 @@ class AddExtraPoints(Choice): class AddStoryChapters(Choice): """ Yacht Dice typically has space for more items. - If there is space, would you like story chapters shuffled in the item pool? + This option determines if extra story chapters are put into the item pool. Note: if you have extra points on "all_of_it", there will not be story chapters. All Of It: fill all locations with story chapters @@ -248,8 +251,7 @@ class WhichStory(Choice): """ The most important part of Yacht Dice is the narrative. Of course you will need to add story chapters to the item pool. - You can read story chapters in the feed on the website. - Which story would you like to read? + You can read story chapters in the feed on the website and there are several stories to choose from. """ display_name = "Story" @@ -265,10 +267,9 @@ class WhichStory(Choice): class AllowManual(Choice): """ - Yacht Dice allows players to roll IRL dice. + If allowed, players can roll IRL dice and input them manually into the game. By sending "manual" in the chat, an input field appears where you can type your dice rolls. Of course, we cannot check anymore if the player is playing fair. - Do you want to allow manual input of rolls? """ display_name = "Allow manual inputs" From ee2f6c81f0fea0bb21fb9fe46cccbe538c45bf60 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 21 Aug 2024 21:31:27 +0200 Subject: [PATCH 110/127] Yacht Dice: setup: change release-link to latest On the installation page, link to the latest release, instead of the page with all releases --- worlds/yachtdice/docs/setup_en.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md index ae5f92d93ea0..59d1c090e30b 100644 --- a/worlds/yachtdice/docs/setup_en.md +++ b/worlds/yachtdice/docs/setup_en.md @@ -7,7 +7,7 @@ ## Playing the game Open the Yacht Dice website. There are two options: -- Download the latest release from [Yacht Dice Releases](https://github.com/spinerak/ArchipelagoYachtDice/releases) and unzip the Website.zip. Then open player.html in your browser. +- Download the latest release from [Yacht Dice Releases](https://github.com/spinerak/ArchipelagoYachtDice/releases/latest) and unzip the Website.zip. Then open player.html in your browser. - Cruise over to the [Yacht Dice website](https://yacht-dice-ap.netlify.app/). This also works on mobile. If the website is not available, use the first option. Both options have an "offline" play option to try out the game without having to generate a game first. From 43b081f63b3a1346ac61ca90859d26149be8a364 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 4 Sep 2024 21:46:11 +0200 Subject: [PATCH 111/127] Several fixes and changes -change apworld version -Removed the extra roll (this was not intended) -change extra_points_added to a mutable list to that it actually does something -removed variables multipliers_added and items_added -Rules, don't order by quantity, just by mean_score -Changed the weights in general to make it faster --- worlds/yachtdice/Rules.py | 2 +- worlds/yachtdice/YachtWeights.py | 3555 +----------------------------- worlds/yachtdice/__init__.py | 35 +- worlds/yachtdice/weightsNN.txt | 1 + 4 files changed, 14 insertions(+), 3579 deletions(-) create mode 100644 worlds/yachtdice/weightsNN.txt diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 1db5cebccdef..d99f5b147493 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -29,7 +29,7 @@ def mean_score(self, num_dice, num_rolls): mean_score = 0 for key, value in yacht_weights[self.name, min(8, num_dice), min(8, num_rolls)].items(): mean_score += key * value / 100000 - return mean_score * self.quantity + return mean_score class ListState: diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index ee387fdf212d..6ad742ea3b4c 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,3557 +6,4 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = { - ("Category Ones", 0, 0): {0: 100000}, - ("Category Ones", 0, 1): {0: 100000}, - ("Category Ones", 0, 2): {0: 100000}, - ("Category Ones", 0, 3): {0: 100000}, - ("Category Ones", 0, 4): {0: 100000}, - ("Category Ones", 0, 5): {0: 100000}, - ("Category Ones", 0, 6): {0: 100000}, - ("Category Ones", 0, 7): {0: 100000}, - ("Category Ones", 0, 8): {0: 100000}, - ("Category Ones", 1, 0): {0: 100000}, - ("Category Ones", 1, 1): {0: 83416, 1: 16584}, - ("Category Ones", 1, 2): {0: 69346, 1: 30654}, - ("Category Ones", 1, 3): {0: 57756, 1: 42244}, - ("Category Ones", 1, 4): {0: 48709, 1: 51291}, - ("Category Ones", 1, 5): {0: 40214, 1: 59786}, - ("Category Ones", 1, 6): {0: 33491, 1: 66509}, - ("Category Ones", 1, 7): {0: 27838, 1: 72162}, - ("Category Ones", 1, 8): {0: 23094, 1: 76906}, - ("Category Ones", 2, 0): {0: 100000}, - ("Category Ones", 2, 1): {0: 69715, 1: 30285}, - ("Category Ones", 2, 2): {0: 48066, 1: 51934}, - ("Category Ones", 2, 3): {0: 33544, 1: 48585, 2: 17871}, - ("Category Ones", 2, 4): {0: 23342, 1: 50092, 2: 26566}, - ("Category Ones", 2, 5): {0: 16036, 1: 48250, 2: 35714}, - ("Category Ones", 2, 6): {0: 11355, 1: 44545, 2: 44100}, - ("Category Ones", 2, 7): {0: 7812, 1: 40248, 2: 51940}, - ("Category Ones", 2, 8): {0: 5395, 1: 35484, 2: 59121}, - ("Category Ones", 3, 0): {0: 100000}, - ("Category Ones", 3, 1): {0: 57462, 1: 42538}, - ("Category Ones", 3, 2): {0: 33327, 1: 44253, 2: 22420}, - ("Category Ones", 3, 3): {0: 19432, 1: 42237, 2: 38331}, - ("Category Ones", 3, 4): {0: 11191, 1: 36208, 2: 38606, 3: 13995}, - ("Category Ones", 3, 5): {0: 6536, 1: 28891, 2: 43130, 3: 21443}, - ("Category Ones", 3, 6): {0: 3697, 1: 22501, 2: 44196, 3: 29606}, - ("Category Ones", 3, 7): {0: 2134, 2: 60499, 3: 37367}, - ("Category Ones", 3, 8): {0: 1280, 2: 53518, 3: 45202}, - ("Category Ones", 4, 0): {0: 100000}, - ("Category Ones", 4, 1): {0: 48178, 1: 38635, 2: 13187}, - ("Category Ones", 4, 2): {0: 23349, 1: 40775, 2: 35876}, - ("Category Ones", 4, 3): {0: 11366, 1: 32547, 2: 35556, 3: 20531}, - ("Category Ones", 4, 4): {0: 5331, 1: 23241, 2: 37271, 3: 34157}, - ("Category Ones", 4, 5): {0: 2640, 2: 49872, 3: 47488}, - ("Category Ones", 4, 6): {0: 1253, 2: 39816, 3: 39298, 4: 19633}, - ("Category Ones", 4, 7): {0: 6915, 2: 24313, 3: 41680, 4: 27092}, - ("Category Ones", 4, 8): {0: 4228, 3: 61312, 4: 34460}, - ("Category Ones", 5, 0): {0: 100000}, - ("Category Ones", 5, 1): {0: 40042, 1: 40202, 2: 19756}, - ("Category Ones", 5, 2): {0: 16212, 1: 35432, 2: 31231, 3: 17125}, - ("Category Ones", 5, 3): {0: 6556, 1: 23548, 2: 34509, 3: 35387}, - ("Category Ones", 5, 4): {0: 2552, 2: 44333, 3: 32048, 4: 21067}, - ("Category Ones", 5, 5): {0: 8783, 2: 23245, 3: 34614, 4: 33358}, - ("Category Ones", 5, 6): {0: 4513, 3: 49603, 4: 32816, 5: 13068}, - ("Category Ones", 5, 7): {0: 2295, 3: 40470, 4: 37869, 5: 19366}, - ("Category Ones", 5, 8): {0: 73, 3: 33115, 4: 40166, 5: 26646}, - ("Category Ones", 6, 0): {0: 100000}, - ("Category Ones", 6, 1): {0: 33501, 1: 40042, 2: 26457}, - ("Category Ones", 6, 2): {0: 11326, 1: 29379, 2: 32368, 3: 26927}, - ("Category Ones", 6, 3): {0: 3764, 2: 46660, 3: 28928, 4: 20648}, - ("Category Ones", 6, 4): {0: 1231, 2: 29883, 3: 31038, 4: 37848}, - ("Category Ones", 6, 5): {0: 4208, 3: 41897, 4: 30878, 5: 23017}, - ("Category Ones", 6, 6): {0: 1850, 3: 30396, 4: 33022, 5: 34732}, - ("Category Ones", 6, 7): {0: 5503, 4: 48099, 5: 32432, 6: 13966}, - ("Category Ones", 6, 8): {0: 2896, 4: 39616, 5: 37005, 6: 20483}, - ("Category Ones", 7, 0): {0: 100000}, - ("Category Ones", 7, 1): {0: 27838, 1: 39224, 2: 32938}, - ("Category Ones", 7, 2): {0: 7796, 1: 23850, 2: 31678, 3: 23224, 4: 13452}, - ("Category Ones", 7, 3): {0: 2247, 2: 35459, 3: 29131, 4: 33163}, - ("Category Ones", 7, 4): {0: 5252, 3: 41207, 4: 28065, 5: 25476}, - ("Category Ones", 7, 5): {0: 174, 3: 29347, 4: 28867, 5: 26190, 6: 15422}, - ("Category Ones", 7, 6): {0: 4625, 4: 38568, 5: 30596, 6: 26211}, - ("Category Ones", 7, 7): {0: 230, 4: 30109, 5: 32077, 6: 37584}, - ("Category Ones", 7, 8): {0: 5519, 5: 45718, 6: 33357, 7: 15406}, - ("Category Ones", 8, 0): {0: 100000}, - ("Category Ones", 8, 1): {0: 23156, 1: 37295, 2: 26136, 3: 13413}, - ("Category Ones", 8, 2): {0: 5472, 2: 48372, 3: 25847, 4: 20309}, - ("Category Ones", 8, 3): {0: 8661, 3: 45896, 4: 24664, 5: 20779}, - ("Category Ones", 8, 4): {0: 2807, 3: 29707, 4: 27157, 5: 23430, 6: 16899}, - ("Category Ones", 8, 5): {0: 5173, 4: 36033, 5: 27792, 6: 31002}, - ("Category Ones", 8, 6): {0: 255, 4: 25642, 5: 27508, 6: 27112, 7: 19483}, - ("Category Ones", 8, 7): {0: 4236, 5: 35323, 6: 30438, 7: 30003}, - ("Category Ones", 8, 8): {0: 310, 5: 27692, 6: 30830, 7: 41168}, - ("Category Twos", 0, 0): {0: 100000}, - ("Category Twos", 0, 1): {0: 100000}, - ("Category Twos", 0, 2): {0: 100000}, - ("Category Twos", 0, 3): {0: 100000}, - ("Category Twos", 0, 4): {0: 100000}, - ("Category Twos", 0, 5): {0: 100000}, - ("Category Twos", 0, 6): {0: 100000}, - ("Category Twos", 0, 7): {0: 100000}, - ("Category Twos", 0, 8): {0: 100000}, - ("Category Twos", 1, 0): {0: 100000}, - ("Category Twos", 1, 1): {0: 83475, 2: 16525}, - ("Category Twos", 1, 2): {0: 69690, 2: 30310}, - ("Category Twos", 1, 3): {0: 57818, 2: 42182}, - ("Category Twos", 1, 4): {0: 48418, 2: 51582}, - ("Category Twos", 1, 5): {0: 40301, 2: 59699}, - ("Category Twos", 1, 6): {0: 33558, 2: 66442}, - ("Category Twos", 1, 7): {0: 28182, 2: 71818}, - ("Category Twos", 1, 8): {0: 23406, 2: 76594}, - ("Category Twos", 2, 0): {0: 100000}, - ("Category Twos", 2, 1): {0: 69724, 2: 30276}, - ("Category Twos", 2, 2): {0: 48238, 2: 42479, 4: 9283}, - ("Category Twos", 2, 3): {0: 33290, 2: 48819, 4: 17891}, - ("Category Twos", 2, 4): {0: 23136, 2: 49957, 4: 26907}, - ("Category Twos", 2, 5): {0: 16146, 2: 48200, 4: 35654}, - ("Category Twos", 2, 6): {0: 11083, 2: 44497, 4: 44420}, - ("Category Twos", 2, 7): {0: 7662, 2: 40343, 4: 51995}, - ("Category Twos", 2, 8): {0: 5354, 2: 35526, 4: 59120}, - ("Category Twos", 3, 0): {0: 100000}, - ("Category Twos", 3, 1): {0: 58021, 2: 34522, 4: 7457}, - ("Category Twos", 3, 2): {0: 33548, 2: 44261, 4: 22191}, - ("Category Twos", 3, 3): {0: 19375, 2: 42372, 4: 30748, 6: 7505}, - ("Category Twos", 3, 4): {0: 10998, 2: 36435, 4: 38569, 6: 13998}, - ("Category Twos", 3, 5): {0: 6519, 2: 28838, 4: 43283, 6: 21360}, - ("Category Twos", 3, 6): {0: 3619, 2: 22498, 4: 44233, 6: 29650}, - ("Category Twos", 3, 7): {0: 2195, 2: 16979, 4: 43684, 6: 37142}, - ("Category Twos", 3, 8): {0: 1255, 2: 12420, 4: 40920, 6: 45405}, - ("Category Twos", 4, 0): {0: 100000}, - ("Category Twos", 4, 1): {0: 48235, 2: 38602, 4: 13163}, - ("Category Twos", 4, 2): {0: 23289, 2: 40678, 4: 27102, 6: 8931}, - ("Category Twos", 4, 3): {0: 11177, 2: 32677, 4: 35702, 6: 20444}, - ("Category Twos", 4, 4): {0: 5499, 2: 23225, 4: 37240, 6: 26867, 8: 7169}, - ("Category Twos", 4, 5): {0: 2574, 2: 15782, 4: 34605, 6: 34268, 8: 12771}, - ("Category Twos", 4, 6): {0: 1259, 4: 39616, 6: 39523, 8: 19602}, - ("Category Twos", 4, 7): {0: 622, 4: 30426, 6: 41894, 8: 27058}, - ("Category Twos", 4, 8): {0: 4091, 4: 18855, 6: 42309, 8: 34745}, - ("Category Twos", 5, 0): {0: 100000}, - ("Category Twos", 5, 1): {0: 40028, 2: 40241, 4: 19731}, - ("Category Twos", 5, 2): {0: 16009, 2: 35901, 4: 31024, 6: 17066}, - ("Category Twos", 5, 3): {0: 6489, 2: 23477, 4: 34349, 6: 25270, 8: 10415}, - ("Category Twos", 5, 4): {0: 2658, 2: 14032, 4: 30199, 6: 32214, 8: 20897}, - ("Category Twos", 5, 5): {0: 1032, 4: 31627, 6: 33993, 8: 25853, 10: 7495}, - ("Category Twos", 5, 6): {0: 450, 4: 20693, 6: 32774, 8: 32900, 10: 13183}, - ("Category Twos", 5, 7): {0: 2396, 4: 11231, 6: 29481, 8: 37636, 10: 19256}, - ("Category Twos", 5, 8): {0: 1171, 6: 31564, 8: 40798, 10: 26467}, - ("Category Twos", 6, 0): {0: 100000}, - ("Category Twos", 6, 1): {0: 33502, 2: 40413, 4: 26085}, - ("Category Twos", 6, 2): {0: 11210, 2: 29638, 4: 32701, 6: 18988, 8: 7463}, - ("Category Twos", 6, 3): {0: 3673, 2: 16459, 4: 29795, 6: 29102, 8: 20971}, - ("Category Twos", 6, 4): {0: 1243, 4: 30025, 6: 31053, 8: 25066, 10: 12613}, - ("Category Twos", 6, 5): {0: 4194, 4: 13949, 6: 28142, 8: 30723, 10: 22992}, - ("Category Twos", 6, 6): {0: 1800, 6: 30677, 8: 32692, 10: 26213, 12: 8618}, - ("Category Twos", 6, 7): {0: 775, 6: 21013, 8: 31410, 10: 32532, 12: 14270}, - ("Category Twos", 6, 8): {0: 2855, 6: 11432, 8: 27864, 10: 37237, 12: 20612}, - ("Category Twos", 7, 0): {0: 100000}, - ("Category Twos", 7, 1): {0: 27683, 2: 39060, 4: 23574, 6: 9683}, - ("Category Twos", 7, 2): {0: 7824, 2: 24031, 4: 31764, 6: 23095, 8: 13286}, - ("Category Twos", 7, 3): {0: 2148, 2: 11019, 4: 24197, 6: 29599, 8: 21250, 10: 11787}, - ("Category Twos", 7, 4): {0: 564, 4: 19036, 6: 26395, 8: 28409, 10: 18080, 12: 7516}, - ("Category Twos", 7, 5): {0: 1913, 6: 27198, 8: 29039, 10: 26129, 12: 15721}, - ("Category Twos", 7, 6): {0: 54, 6: 17506, 8: 25752, 10: 30413, 12: 26275}, - ("Category Twos", 7, 7): {0: 2179, 8: 28341, 10: 32054, 12: 27347, 14: 10079}, - ("Category Twos", 7, 8): {0: 942, 8: 19835, 10: 30248, 12: 33276, 14: 15699}, - ("Category Twos", 8, 0): {0: 100000}, - ("Category Twos", 8, 1): {0: 23378, 2: 37157, 4: 26082, 6: 13383}, - ("Category Twos", 8, 2): {0: 5420, 2: 19164, 4: 29216, 6: 25677, 8: 20523}, - ("Category Twos", 8, 3): {0: 1271, 4: 26082, 6: 27054, 8: 24712, 10: 20881}, - ("Category Twos", 8, 4): {0: 2889, 6: 29552, 8: 27389, 10: 23232, 12: 16938}, - ("Category Twos", 8, 5): {0: 879, 6: 16853, 8: 23322, 10: 27882, 12: 20768, 14: 10296}, - ("Category Twos", 8, 6): {0: 2041, 8: 24140, 10: 27398, 12: 27048, 14: 19373}, - ("Category Twos", 8, 7): {0: 74, 8: 15693, 10: 23675, 12: 30829, 14: 22454, 16: 7275}, - ("Category Twos", 8, 8): {2: 2053, 10: 25677, 12: 31310, 14: 28983, 16: 11977}, - ("Category Threes", 0, 0): {0: 100000}, - ("Category Threes", 0, 1): {0: 100000}, - ("Category Threes", 0, 2): {0: 100000}, - ("Category Threes", 0, 3): {0: 100000}, - ("Category Threes", 0, 4): {0: 100000}, - ("Category Threes", 0, 5): {0: 100000}, - ("Category Threes", 0, 6): {0: 100000}, - ("Category Threes", 0, 7): {0: 100000}, - ("Category Threes", 0, 8): {0: 100000}, - ("Category Threes", 1, 0): {0: 100000}, - ("Category Threes", 1, 1): {0: 83343, 3: 16657}, - ("Category Threes", 1, 2): {0: 69569, 3: 30431}, - ("Category Threes", 1, 3): {0: 57872, 3: 42128}, - ("Category Threes", 1, 4): {0: 48081, 3: 51919}, - ("Category Threes", 1, 5): {0: 40271, 3: 59729}, - ("Category Threes", 1, 6): {0: 33201, 3: 66799}, - ("Category Threes", 1, 7): {0: 27903, 3: 72097}, - ("Category Threes", 1, 8): {0: 23240, 3: 76760}, - ("Category Threes", 2, 0): {0: 100000}, - ("Category Threes", 2, 1): {0: 69419, 3: 30581}, - ("Category Threes", 2, 2): {0: 48202, 3: 42590, 6: 9208}, - ("Category Threes", 2, 3): {0: 33376, 3: 48849, 6: 17775}, - ("Category Threes", 2, 4): {0: 23276, 3: 49810, 6: 26914}, - ("Category Threes", 2, 5): {0: 16092, 3: 47718, 6: 36190}, - ("Category Threes", 2, 6): {0: 11232, 3: 44515, 6: 44253}, - ("Category Threes", 2, 7): {0: 7589, 3: 40459, 6: 51952}, - ("Category Threes", 2, 8): {0: 5447, 3: 35804, 6: 58749}, - ("Category Threes", 3, 0): {0: 100000}, - ("Category Threes", 3, 1): {0: 57964, 3: 34701, 6: 7335}, - ("Category 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36478}, ('Category Half of Sixes', 7, 3): {0: 2138, 9: 64554, 15: 33308}, ('Category Half of Sixes', 7, 4): {0: 5238, 12: 69214, 15: 25548}, ('Category Half of Sixes', 7, 5): {0: 9894, 15: 90106}, ('Category Half of Sixes', 7, 6): {0: 4656, 15: 69353, 18: 25991}, ('Category Half of Sixes', 7, 7): {0: 10005, 15: 52430, 18: 37565}, ('Category Half of Sixes', 7, 8): {0: 5710, 18: 94290}, ('Category Half of Sixes', 8, 0): {0: 100000}, ('Category Half of Sixes', 8, 1): {0: 23337, 6: 76663}, ('Category Half of Sixes', 8, 2): {0: 5310, 9: 74178, 12: 20512}, ('Category Half of Sixes', 8, 3): {0: 8656, 12: 70598, 15: 20746}, ('Category Half of Sixes', 8, 4): {0: 291, 12: 59487, 18: 40222}, ('Category Half of Sixes', 8, 5): {0: 5145, 15: 63787, 18: 31068}, ('Category Half of Sixes', 8, 6): {0: 8804, 18: 91196}, ('Category Half of Sixes', 8, 7): {0: 4347, 18: 65663, 21: 29990}, ('Category Half of Sixes', 8, 8): {0: 9252, 21: 90748}, ('Category Twos and Threes', 1, 1): {0: 66466, 2: 33534}, 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58142, 9: 39732}, ('Category Twos and Threes', 5, 4): {0: 848, 2: 30734, 11: 68418}, ('Category Twos and Threes', 5, 5): {0: 29502, 12: 70498}, ('Category Twos and Threes', 5, 6): {0: 123, 9: 52792, 12: 47085}, ('Category Twos and Threes', 5, 7): {0: 8241, 12: 91759}, ('Category Twos and Threes', 5, 8): {0: 13, 2: 31670, 14: 68317}, ('Category Twos and Threes', 6, 1): {0: 22090, 6: 77910}, ('Category Twos and Threes', 6, 2): {0: 2944, 6: 62394, 9: 34662}, ('Category Twos and Threes', 6, 3): {0: 977, 2: 30626, 11: 68397}, ('Category Twos and Threes', 6, 4): {0: 320, 8: 58370, 12: 41310}, ('Category Twos and Threes', 6, 5): {0: 114, 2: 31718, 14: 68168}, ('Category Twos and Threes', 6, 6): {0: 29669, 15: 70331}, ('Category Twos and Threes', 6, 7): {0: 19855, 15: 80145}, ('Category Twos and Threes', 6, 8): {0: 8524, 15: 91476}, ('Category Twos and Threes', 7, 1): {0: 5802, 4: 54580, 7: 39618}, ('Category Twos and Threes', 7, 2): {0: 1605, 6: 62574, 10: 35821}, ('Category Twos and Threes', 7, 3): {0: 471, 8: 59691, 12: 39838}, ('Category Twos and Threes', 7, 4): {0: 26620, 14: 73380}, ('Category Twos and Threes', 7, 5): {0: 17308, 11: 37515, 15: 45177}, ('Category Twos and Threes', 7, 6): {0: 30281, 17: 69719}, ('Category Twos and Threes', 7, 7): {0: 28433, 18: 71567}, ('Category Twos and Threes', 7, 8): {0: 13274, 18: 86726}, ('Category Twos and Threes', 8, 1): {0: 3799, 5: 56614, 8: 39587}, ('Category Twos and Threes', 8, 2): {0: 902, 7: 58003, 11: 41095}, ('Category Twos and Threes', 8, 3): {0: 29391, 14: 70609}, ('Category Twos and Threes', 8, 4): {0: 26041, 12: 40535, 16: 33424}, ('Category Twos and Threes', 8, 5): {0: 26328, 14: 38760, 18: 34912}, ('Category Twos and Threes', 8, 6): {0: 22646, 15: 45218, 19: 32136}, ('Category Twos and Threes', 8, 7): {0: 25908, 20: 74092}, ('Category Twos and Threes', 8, 8): {3: 18441, 17: 38826, 21: 42733}, ('Category Sum of Odds', 1, 1): {0: 66572, 5: 33428}, ('Category Sum of Odds', 1, 2): {0: 44489, 5: 55511}, ('Category Sum 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6138, 4: 33396, 13: 60466}, ('Category Sum of Odds', 3, 5): {0: 29405, 15: 70595}, ('Category Sum of Odds', 3, 6): {0: 21390, 15: 78610}, ('Category Sum of Odds', 3, 7): {0: 8991, 8: 38279, 15: 52730}, ('Category Sum of Odds', 3, 8): {0: 6340, 8: 34003, 15: 59657}, ('Category Sum of Odds', 4, 1): {0: 28095, 4: 38198, 8: 33707}, ('Category Sum of Odds', 4, 2): {0: 27003, 11: 72997}, ('Category Sum of Odds', 4, 3): {0: 18712, 8: 40563, 13: 40725}, ('Category Sum of Odds', 4, 4): {0: 30691, 15: 69309}, ('Category Sum of Odds', 4, 5): {0: 433, 3: 32140, 13: 43150, 18: 24277}, ('Category Sum of Odds', 4, 6): {0: 6549, 9: 32451, 15: 43220, 20: 17780}, ('Category Sum of Odds', 4, 7): {0: 29215, 15: 45491, 20: 25294}, ('Category Sum of Odds', 4, 8): {0: 11807, 13: 38927, 20: 49266}, ('Category Sum of Odds', 5, 1): {0: 25139, 9: 74861}, ('Category Sum of Odds', 5, 2): {0: 25110, 9: 40175, 14: 34715}, ('Category Sum of Odds', 5, 3): {0: 23453, 11: 37756, 16: 38791}, ('Category Sum of Odds', 5, 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34878, 19: 35187}, ('Category Sum of Odds', 7, 3): {0: 30638, 17: 33733, 22: 35629}, ('Category Sum of Odds', 7, 4): {0: 163, 6: 32024, 20: 33870, 25: 33943}, ('Category Sum of Odds', 7, 5): {0: 31200, 22: 35565, 27: 33235}, ('Category Sum of Odds', 7, 6): {2: 30174, 24: 36670, 29: 33156}, ('Category Sum of Odds', 7, 7): {4: 8712, 21: 35208, 28: 36799, 33: 19281}, ('Category Sum of Odds', 7, 8): {0: 1447, 18: 32027, 28: 39941, 33: 26585}, ('Category Sum of Odds', 8, 1): {0: 26931, 9: 35423, 14: 37646}, ('Category Sum of Odds', 8, 2): {0: 29521, 16: 32919, 21: 37560}, ('Category Sum of Odds', 8, 3): {0: 412, 7: 32219, 20: 32055, 25: 35314}, ('Category Sum of Odds', 8, 4): {1: 27021, 22: 36376, 28: 36603}, ('Category Sum of Odds', 8, 5): {1: 1069, 14: 32451, 26: 32884, 31: 33596}, ('Category Sum of Odds', 8, 6): {4: 31598, 28: 33454, 33: 34948}, ('Category Sum of Odds', 8, 7): {6: 27327, 29: 35647, 34: 37026}, ('Category Sum of Odds', 8, 8): {4: 1, 26: 40489, 33: 37825, 38: 21685}, 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100000}, ('Category Five Distinct Dice', 4, 6): {0: 100000}, ('Category Five Distinct Dice', 4, 7): {0: 100000}, ('Category Five Distinct Dice', 4, 8): {0: 100000}, ('Category Five Distinct Dice', 5, 1): {0: 90907, 25: 9093}, ('Category Five Distinct Dice', 5, 2): {0: 68020, 25: 31980}, ('Category Five Distinct Dice', 5, 3): {0: 47692, 25: 52308}, ('Category Five Distinct Dice', 5, 4): {0: 32383, 25: 67617}, ('Category Five Distinct Dice', 5, 5): {0: 21631, 25: 78369}, ('Category Five Distinct Dice', 5, 6): {0: 14366, 25: 85634}, ('Category Five Distinct Dice', 5, 7): {0: 9568, 25: 90432}, ('Category Five Distinct Dice', 5, 8): {0: 6360, 25: 93640}, ('Category Five Distinct Dice', 6, 1): {0: 75051, 25: 24949}, ('Category Five Distinct Dice', 6, 2): {0: 38409, 25: 61591}, ('Category Five Distinct Dice', 6, 3): {0: 17505, 25: 82495}, ('Category Five Distinct Dice', 6, 4): {0: 7862, 25: 92138}, ('Category Five Distinct Dice', 6, 5): {0: 3538, 25: 96462}, ('Category Five Distinct Dice', 6, 6): {0: 1645, 25: 98355}, ('Category Five Distinct Dice', 6, 7): {0: 714, 25: 99286}, ('Category Five Distinct Dice', 6, 8): {0: 341, 25: 99659}, ('Category Five Distinct Dice', 7, 1): {0: 58588, 25: 41412}, ('Category Five Distinct Dice', 7, 2): {0: 19487, 25: 80513}, ('Category Five Distinct Dice', 7, 3): {0: 6043, 25: 93957}, ('Category Five Distinct Dice', 7, 4): {0: 1799, 25: 98201}, ('Category Five Distinct Dice', 7, 5): {0: 544, 25: 99456}, ('Category Five Distinct Dice', 7, 6): {0: 169, 25: 99831}, ('Category Five Distinct Dice', 7, 7): {0: 59, 25: 99941}, ('Category Five Distinct Dice', 7, 8): {0: 11, 25: 99989}, ('Category Five Distinct Dice', 8, 1): {0: 43586, 25: 56414}, ('Category Five Distinct Dice', 8, 2): {0: 9615, 25: 90385}, ('Category Five Distinct Dice', 8, 3): {0: 1944, 25: 98056}, ('Category Five Distinct Dice', 8, 4): {0: 383, 25: 99617}, ('Category Five Distinct Dice', 8, 5): {0: 77, 25: 99923}, ('Category Five Distinct Dice', 8, 6): {0: 18, 25: 99982}, ('Category Five Distinct Dice', 8, 7): {0: 3, 25: 99997}, ('Category Five Distinct Dice', 8, 8): {0: 2, 25: 99998}, ('Category 4&5 Full House', 1, 1): {0: 100000}, ('Category 4&5 Full House', 1, 2): {0: 100000}, ('Category 4&5 Full House', 1, 3): {0: 100000}, ('Category 4&5 Full House', 1, 4): {0: 100000}, ('Category 4&5 Full House', 1, 5): {0: 100000}, ('Category 4&5 Full House', 1, 6): {0: 100000}, ('Category 4&5 Full House', 1, 7): {0: 100000}, ('Category 4&5 Full House', 1, 8): {0: 100000}, ('Category 4&5 Full House', 2, 1): {0: 100000}, ('Category 4&5 Full House', 2, 2): {0: 100000}, ('Category 4&5 Full House', 2, 3): {0: 100000}, ('Category 4&5 Full House', 2, 4): {0: 100000}, ('Category 4&5 Full House', 2, 5): {0: 100000}, ('Category 4&5 Full House', 2, 6): {0: 100000}, ('Category 4&5 Full House', 2, 7): {0: 100000}, ('Category 4&5 Full House', 2, 8): {0: 100000}, ('Category 4&5 Full House', 3, 1): {0: 100000}, ('Category 4&5 Full House', 3, 2): {0: 100000}, ('Category 4&5 Full House', 3, 3): {0: 100000}, ('Category 4&5 Full House', 3, 4): {0: 100000}, ('Category 4&5 Full House', 3, 5): {0: 100000}, ('Category 4&5 Full House', 3, 6): {0: 100000}, ('Category 4&5 Full House', 3, 7): {0: 100000}, ('Category 4&5 Full House', 3, 8): {0: 100000}, ('Category 4&5 Full House', 4, 1): {0: 100000}, ('Category 4&5 Full House', 4, 2): {0: 100000}, ('Category 4&5 Full House', 4, 3): {0: 100000}, ('Category 4&5 Full House', 4, 4): {0: 100000}, ('Category 4&5 Full House', 4, 5): {0: 100000}, ('Category 4&5 Full House', 4, 6): {0: 100000}, ('Category 4&5 Full House', 4, 7): {0: 100000}, ('Category 4&5 Full House', 4, 8): {0: 100000}, ('Category 4&5 Full House', 5, 1): {0: 100000}, ('Category 4&5 Full House', 5, 2): {0: 96607, 50: 3393}, ('Category 4&5 Full House', 5, 3): {0: 88788, 50: 11212}, ('Category 4&5 Full House', 5, 4): {0: 77799, 50: 22201}, ('Category 4&5 Full House', 5, 5): {0: 65797, 50: 34203}, ('Category 4&5 Full House', 5, 6): {0: 54548, 50: 45452}, ('Category 4&5 Full House', 5, 7): {0: 44898, 50: 55102}, ('Category 4&5 Full House', 5, 8): {0: 36881, 50: 63119}, ('Category 4&5 Full House', 6, 1): {0: 100000}, ('Category 4&5 Full House', 6, 2): {0: 88680, 50: 11320}, ('Category 4&5 Full House', 6, 3): {0: 70215, 50: 29785}, ('Category 4&5 Full House', 6, 4): {0: 50801, 50: 49199}, ('Category 4&5 Full House', 6, 5): {0: 35756, 50: 64244}, ('Category 4&5 Full House', 6, 6): {0: 24698, 50: 75302}, ('Category 4&5 Full House', 6, 7): {0: 17145, 50: 82855}, ('Category 4&5 Full House', 6, 8): {0: 11846, 50: 88154}, ('Category 4&5 Full House', 7, 1): {0: 97090, 50: 2910}, ('Category 4&5 Full House', 7, 2): {0: 77440, 50: 22560}, ('Category 4&5 Full House', 7, 3): {0: 51372, 50: 48628}, ('Category 4&5 Full House', 7, 4): {0: 30566, 50: 69434}, ('Category 4&5 Full House', 7, 5): {0: 17866, 50: 82134}, ('Category 4&5 Full House', 7, 6): {0: 10521, 50: 89479}, ('Category 4&5 Full House', 7, 7): {0: 6204, 50: 93796}, ('Category 4&5 Full House', 7, 8): {0: 3670, 50: 96330}, ('Category 4&5 Full House', 8, 1): {0: 94172, 50: 5828}, ('Category 4&5 Full House', 8, 2): {0: 64693, 50: 35307}, ('Category 4&5 Full House', 8, 3): {0: 35293, 50: 64707}, ('Category 4&5 Full House', 8, 4): {0: 17749, 50: 82251}, ('Category 4&5 Full House', 8, 5): {0: 8740, 50: 91260}, ('Category 4&5 Full House', 8, 6): {0: 4550, 50: 95450}, ('Category 4&5 Full House', 8, 7): {0: 2218, 50: 97782}, ('Category 4&5 Full House', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index c36c59544f15..50486c22afcd 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.1.1" + ap_world_version = "2.1.2" def _get_yachtdice_data(self): return { @@ -190,7 +190,6 @@ def generate_early(self): if self.frags_per_roll == 1: self.itempool += ["Roll"] * num_of_rolls_to_add # minus one because one is in start inventory else: - self.itempool.append("Roll") # always add a full roll to make generation easier (will be early) self.itempool += ["Roll Fragment"] * (self.frags_per_roll * num_of_rolls_to_add) already_items = len(self.itempool) @@ -231,13 +230,9 @@ def generate_early(self): weights["Dice"] = weights["Dice"] / 5 * self.frags_per_dice weights["Roll"] = weights["Roll"] / 5 * self.frags_per_roll - extra_points_added = 0 - multipliers_added = 0 - items_added = 0 - - def get_item_to_add(weights, extra_points_added, multipliers_added, items_added): - items_added += 1 + extra_points_added = [0] # make it a mutible type so we can change the value in the function + def get_item_to_add(weights, extra_points_added): all_items = self.itempool + self.precollected dice_fragments_in_pool = all_items.count("Dice") * self.frags_per_dice + all_items.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * self.frags_per_dice: @@ -246,21 +241,15 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) if roll_fragments_in_pool + 1 >= 6 * self.frags_per_roll: weights["Roll"] = 0 # don't allow >= 6 rolls - # Don't allow too many multipliers - if multipliers_added > 50: - weights["Fixed Score Multiplier"] = 0 - weights["Step Score Multiplier"] = 0 - # Don't allow too many extra points - if extra_points_added > 300: + if extra_points_added[0] > 400: weights["Points"] = 0 # if all weights are zero, allow to add fixed score multiplier, double category, points. if sum(weights.values()) == 0: - if multipliers_added <= 50: - weights["Fixed Score Multiplier"] = 1 + weights["Fixed Score Multiplier"] = 1 weights["Double category"] = 1 - if extra_points_added <= 300: + if extra_points_added[0] <= 400: weights["Points"] = 1 # Next, add the appropriate item. We'll slightly alter weights to avoid too many of the same item @@ -274,11 +263,9 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) return "Roll" if self.frags_per_roll == 1 else "Roll Fragment" elif which_item_to_add == "Fixed Score Multiplier": weights["Fixed Score Multiplier"] /= 1.05 - multipliers_added += 1 return "Fixed Score Multiplier" elif which_item_to_add == "Step Score Multiplier": weights["Step Score Multiplier"] /= 1.1 - multipliers_added += 1 return "Step Score Multiplier" elif which_item_to_add == "Double category": # Below entries are the weights to add each category. @@ -303,15 +290,15 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) choice = self.random.choices(list(probs.keys()), weights=list(probs.values()))[0] if choice == "1 Point": weights["Points"] /= 1.01 - extra_points_added += 1 + extra_points_added[0] += 1 return "1 Point" elif choice == "10 Points": weights["Points"] /= 1.1 - extra_points_added += 10 + extra_points_added[0] += 10 return "10 Points" elif choice == "100 Points": weights["Points"] /= 2 - extra_points_added += 100 + extra_points_added[0] += 100 return "100 Points" else: raise Exception("Unknown point value (Yacht Dice)") @@ -320,7 +307,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) # adding 17 items as a start seems like the smartest way to get close to 1000 points for _ in range(17): - self.itempool.append(get_item_to_add(weights, extra_points_added, multipliers_added, items_added)) + self.itempool.append(get_item_to_add(weights, extra_points_added)) score_in_logic = dice_simulation_fill_pool( self.itempool + self.precollected, @@ -348,7 +335,7 @@ def get_item_to_add(weights, extra_points_added, multipliers_added, items_added) else: # Keep adding items until a score of 1000 is in logic while score_in_logic < 1000: - item_to_add = get_item_to_add(weights, extra_points_added, multipliers_added, items_added) + item_to_add = get_item_to_add(weights, extra_points_added) self.itempool.append(item_to_add) if item_to_add == "1 Point": score_in_logic += 1 diff --git a/worlds/yachtdice/weightsNN.txt b/worlds/yachtdice/weightsNN.txt new file mode 100644 index 000000000000..d5828d76c1d4 --- /dev/null +++ b/worlds/yachtdice/weightsNN.txt @@ -0,0 +1 @@ +{('Category Ones', 0, 0): {0: 100000}, ('Category Ones', 0, 1): {0: 100000}, ('Category Ones', 0, 2): {0: 100000}, ('Category Ones', 0, 3): {0: 100000}, ('Category Ones', 0, 4): {0: 100000}, ('Category Ones', 0, 5): {0: 100000}, ('Category Ones', 0, 6): {0: 100000}, ('Category Ones', 0, 7): {0: 100000}, ('Category Ones', 0, 8): {0: 100000}, ('Category Ones', 1, 0): {0: 100000}, ('Category Ones', 1, 1): {0: 100000}, ('Category Ones', 1, 2): {0: 100000}, ('Category Ones', 1, 3): {0: 100000}, ('Category Ones', 1, 4): {0: 100000}, ('Category Ones', 1, 5): {0: 100000}, ('Category Ones', 1, 6): {0: 33491, 1: 66509}, ('Category Ones', 1, 7): {0: 27838, 1: 72162}, ('Category Ones', 1, 8): {0: 23094, 1: 76906}, ('Category Ones', 2, 0): {0: 100000}, ('Category Ones', 2, 1): {0: 100000}, ('Category Ones', 2, 2): {0: 100000}, ('Category Ones', 2, 3): {0: 33544, 1: 66456}, ('Category Ones', 2, 4): {0: 23342, 1: 76658}, ('Category Ones', 2, 5): {0: 16036, 2: 83964}, ('Category Ones', 2, 6): {0: 11355, 2: 88645}, ('Category Ones', 2, 7): {0: 7812, 2: 92188}, ('Category Ones', 2, 8): {0: 5395, 2: 94605}, ('Category Ones', 3, 0): {0: 100000}, ('Category Ones', 3, 1): {0: 100000}, ('Category Ones', 3, 2): {0: 33327, 1: 66673}, ('Category Ones', 3, 3): {0: 19432, 2: 80568}, ('Category Ones', 3, 4): {0: 11191, 2: 88809}, ('Category Ones', 3, 5): {0: 35427, 2: 64573}, ('Category Ones', 3, 6): {0: 26198, 2: 73802}, ('Category Ones', 3, 7): {0: 18851, 3: 81149}, ('Category Ones', 3, 8): {0: 13847, 3: 86153}, ('Category Ones', 4, 0): {0: 100000}, ('Category Ones', 4, 1): {0: 100000}, ('Category Ones', 4, 2): {0: 23349, 2: 76651}, ('Category Ones', 4, 3): {0: 11366, 2: 88634}, ('Category Ones', 4, 4): {0: 28572, 3: 71428}, ('Category Ones', 4, 5): {0: 17976, 3: 82024}, ('Category Ones', 4, 6): {0: 1253, 3: 98747}, ('Category Ones', 4, 7): {0: 31228, 3: 68772}, ('Category Ones', 4, 8): {0: 23273, 4: 76727}, ('Category Ones', 5, 0): {0: 100000}, ('Category Ones', 5, 1): {0: 100000}, ('Category Ones', 5, 2): {0: 16212, 2: 83788}, ('Category Ones', 5, 3): {0: 30104, 3: 69896}, ('Category Ones', 5, 4): {0: 2552, 3: 97448}, ('Category Ones', 5, 5): {0: 32028, 4: 67972}, ('Category Ones', 5, 6): {0: 21215, 4: 78785}, ('Category Ones', 5, 7): {0: 2295, 4: 97705}, ('Category Ones', 5, 8): {0: 1167, 4: 98833}, ('Category Ones', 6, 0): {0: 100000}, ('Category Ones', 6, 1): {0: 33501, 1: 66499}, ('Category Ones', 6, 2): {0: 40705, 2: 59295}, ('Category Ones', 6, 3): {0: 3764, 3: 96236}, ('Category Ones', 6, 4): {0: 9324, 4: 90676}, ('Category Ones', 6, 5): {0: 4208, 4: 95792}, ('Category Ones', 6, 6): {0: 158, 5: 99842}, ('Category Ones', 6, 7): {0: 5503, 5: 94497}, ('Category Ones', 6, 8): {0: 2896, 5: 97104}, ('Category Ones', 7, 0): {0: 100000}, ('Category Ones', 7, 1): {0: 27838, 2: 72162}, ('Category Ones', 7, 2): {0: 7796, 3: 92204}, ('Category Ones', 7, 3): {0: 13389, 4: 86611}, ('Category Ones', 7, 4): {0: 5252, 4: 94748}, ('Category Ones', 7, 5): {0: 9854, 5: 90146}, ('Category Ones', 7, 6): {0: 4625, 5: 95375}, ('Category Ones', 7, 7): {0: 30339, 6: 69661}, ('Category Ones', 7, 8): {0: 5519, 6: 94481}, ('Category Ones', 8, 0): {0: 100000}, ('Category Ones', 8, 1): {0: 23156, 2: 76844}, ('Category Ones', 8, 2): {0: 5472, 3: 94528}, ('Category Ones', 8, 3): {0: 8661, 4: 91339}, ('Category Ones', 8, 4): {0: 12125, 5: 87875}, ('Category Ones', 8, 5): {0: 5173, 5: 94827}, ('Category Ones', 8, 6): {0: 8872, 6: 91128}, ('Category Ones', 8, 7): {0: 4236, 6: 95764}, ('Category Ones', 8, 8): {0: 9107, 7: 90893}, ('Category Twos', 0, 0): {0: 100000}, ('Category Twos', 0, 1): {0: 100000}, ('Category Twos', 0, 2): {0: 100000}, ('Category Twos', 0, 3): {0: 100000}, ('Category Twos', 0, 4): {0: 100000}, ('Category Twos', 0, 5): {0: 100000}, ('Category Twos', 0, 6): {0: 100000}, ('Category Twos', 0, 7): {0: 100000}, ('Category Twos', 0, 8): {0: 100000}, ('Category Twos', 1, 0): {0: 100000}, ('Category Twos', 1, 1): {0: 100000}, ('Category Twos', 1, 2): {0: 100000}, ('Category Twos', 1, 3): {0: 57818, 2: 42182}, ('Category Twos', 1, 4): {0: 48418, 2: 51582}, ('Category Twos', 1, 5): {0: 40301, 2: 59699}, ('Category Twos', 1, 6): {0: 33558, 2: 66442}, ('Category Twos', 1, 7): {0: 28182, 2: 71818}, ('Category Twos', 1, 8): {0: 23406, 2: 76594}, ('Category Twos', 2, 0): {0: 100000}, ('Category Twos', 2, 1): {0: 100000}, ('Category Twos', 2, 2): {0: 48238, 2: 51762}, ('Category Twos', 2, 3): {0: 33290, 4: 66710}, ('Category Twos', 2, 4): {0: 23136, 4: 76864}, ('Category Twos', 2, 5): {0: 16146, 4: 83854}, ('Category Twos', 2, 6): {0: 11083, 4: 88917}, ('Category Twos', 2, 7): {0: 7662, 4: 92338}, ('Category Twos', 2, 8): {0: 5354, 4: 94646}, ('Category Twos', 3, 0): {0: 100000}, ('Category Twos', 3, 1): {0: 58021, 2: 41979}, ('Category Twos', 3, 2): {0: 33548, 4: 66452}, ('Category Twos', 3, 3): {0: 19375, 4: 80625}, ('Category Twos', 3, 4): {0: 10998, 4: 89002}, ('Category Twos', 3, 5): {0: 6519, 6: 93481}, ('Category Twos', 3, 6): {0: 3619, 6: 96381}, ('Category Twos', 3, 7): {0: 2195, 6: 97805}, ('Category Twos', 3, 8): {0: 13675, 6: 86325}, ('Category Twos', 4, 0): {0: 100000}, ('Category Twos', 4, 1): {0: 48235, 2: 51765}, ('Category Twos', 4, 2): {0: 23289, 4: 76711}, ('Category Twos', 4, 3): {0: 11177, 6: 88823}, ('Category Twos', 4, 4): {0: 5499, 6: 94501}, ('Category Twos', 4, 5): {0: 18356, 6: 81644}, ('Category Twos', 4, 6): {0: 11169, 8: 88831}, ('Category Twos', 4, 7): {0: 6945, 8: 93055}, ('Category Twos', 4, 8): {0: 4091, 8: 95909}, ('Category Twos', 5, 0): {0: 100000}, ('Category Twos', 5, 1): {0: 40028, 4: 59972}, ('Category Twos', 5, 2): {0: 16009, 6: 83991}, ('Category Twos', 5, 3): {0: 6489, 6: 93511}, ('Category Twos', 5, 4): {0: 16690, 8: 83310}, ('Category Twos', 5, 5): {0: 9016, 8: 90984}, ('Category Twos', 5, 6): {0: 4602, 8: 95398}, ('Category Twos', 5, 7): {0: 13627, 10: 86373}, ('Category Twos', 5, 8): {0: 8742, 10: 91258}, ('Category Twos', 6, 0): {0: 100000}, ('Category Twos', 6, 1): {0: 33502, 4: 66498}, ('Category Twos', 6, 2): {0: 11210, 6: 88790}, ('Category Twos', 6, 3): {0: 3673, 6: 96327}, ('Category Twos', 6, 4): {0: 9291, 8: 90709}, ('Category Twos', 6, 5): {0: 441, 8: 99559}, ('Category Twos', 6, 6): {0: 10255, 10: 89745}, ('Category Twos', 6, 7): {0: 5646, 10: 94354}, ('Category Twos', 6, 8): {0: 14287, 12: 85713}, ('Category Twos', 7, 0): {0: 100000}, ('Category Twos', 7, 1): {0: 27683, 4: 72317}, ('Category Twos', 7, 2): {0: 7824, 6: 92176}, ('Category Twos', 7, 3): {0: 13167, 8: 86833}, ('Category Twos', 7, 4): {0: 564, 10: 99436}, ('Category Twos', 7, 5): {0: 9824, 10: 90176}, ('Category Twos', 7, 6): {0: 702, 12: 99298}, ('Category Twos', 7, 7): {0: 10186, 12: 89814}, ('Category Twos', 7, 8): {0: 942, 12: 99058}, ('Category Twos', 8, 0): {0: 100000}, ('Category Twos', 8, 1): {0: 23378, 4: 76622}, ('Category Twos', 8, 2): {0: 5420, 8: 94580}, ('Category Twos', 8, 3): {0: 8560, 10: 91440}, ('Category Twos', 8, 4): {0: 12199, 12: 87801}, ('Category Twos', 8, 5): {0: 879, 12: 99121}, ('Category Twos', 8, 6): {0: 9033, 14: 90967}, ('Category Twos', 8, 7): {0: 15767, 14: 84233}, ('Category Twos', 8, 8): {2: 9033, 14: 90967}, ('Category Threes', 0, 0): {0: 100000}, ('Category Threes', 0, 1): {0: 100000}, ('Category Threes', 0, 2): {0: 100000}, ('Category Threes', 0, 3): {0: 100000}, ('Category Threes', 0, 4): {0: 100000}, ('Category Threes', 0, 5): {0: 100000}, ('Category Threes', 0, 6): {0: 100000}, ('Category Threes', 0, 7): {0: 100000}, ('Category Threes', 0, 8): {0: 100000}, ('Category Threes', 1, 0): {0: 100000}, ('Category Threes', 1, 1): {0: 100000}, ('Category Threes', 1, 2): {0: 69569, 3: 30431}, 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40725}, ('Category Sum of Odds', 4, 4): {0: 30691, 15: 69309}, ('Category Sum of Odds', 4, 5): {0: 433, 3: 32140, 13: 43150, 18: 24277}, ('Category Sum of Odds', 4, 6): {0: 6549, 9: 32451, 15: 43220, 20: 17780}, ('Category Sum of Odds', 4, 7): {0: 29215, 15: 45491, 20: 25294}, ('Category Sum of Odds', 4, 8): {0: 11807, 13: 38927, 20: 49266}, ('Category Sum of Odds', 5, 1): {0: 25139, 9: 74861}, ('Category Sum of Odds', 5, 2): {0: 25110, 9: 40175, 14: 34715}, ('Category Sum of Odds', 5, 3): {0: 23453, 11: 37756, 16: 38791}, ('Category Sum of Odds', 5, 4): {0: 22993, 13: 37263, 18: 39744}, ('Category Sum of Odds', 5, 5): {0: 25501, 15: 38407, 20: 36092}, ('Category Sum of Odds', 5, 6): {0: 2542, 10: 32537, 18: 41122, 23: 23799}, ('Category Sum of Odds', 5, 7): {0: 8228, 14: 32413, 20: 41289, 25: 18070}, ('Category Sum of Odds', 5, 8): {0: 2, 2: 31173, 20: 43652, 25: 25173}, ('Category Sum of Odds', 6, 1): {0: 23822, 6: 40166, 11: 36012}, ('Category Sum of Odds', 6, 2): {0: 24182, 11: 37137, 16: 38681}, ('Category Sum of Odds', 6, 3): {0: 27005, 14: 35759, 19: 37236}, ('Category Sum of Odds', 6, 4): {0: 25133, 16: 35011, 21: 39856}, ('Category Sum of Odds', 6, 5): {0: 24201, 18: 34934, 23: 40865}, ('Category Sum of Odds', 6, 6): {0: 12978, 17: 32943, 23: 36836, 28: 17243}, ('Category Sum of Odds', 6, 7): {0: 2314, 14: 32834, 23: 40134, 28: 24718}, ('Category Sum of Odds', 6, 8): {0: 5464, 18: 34562, 25: 40735, 30: 19239}, ('Category Sum of Odds', 7, 1): {0: 29329, 8: 37697, 13: 32974}, ('Category Sum of Odds', 7, 2): {0: 29935, 14: 34878, 19: 35187}, ('Category Sum of Odds', 7, 3): {0: 30638, 17: 33733, 22: 35629}, ('Category Sum of Odds', 7, 4): {0: 163, 6: 32024, 20: 33870, 25: 33943}, ('Category Sum of Odds', 7, 5): {0: 31200, 22: 35565, 27: 33235}, ('Category Sum of Odds', 7, 6): {2: 30174, 24: 36670, 29: 33156}, ('Category Sum of Odds', 7, 7): {4: 8712, 21: 35208, 28: 36799, 33: 19281}, ('Category Sum of Odds', 7, 8): {0: 1447, 18: 32027, 28: 39941, 33: 26585}, ('Category Sum of Odds', 8, 1): {0: 26931, 9: 35423, 14: 37646}, ('Category Sum of Odds', 8, 2): {0: 29521, 16: 32919, 21: 37560}, ('Category Sum of Odds', 8, 3): {0: 412, 7: 32219, 20: 32055, 25: 35314}, ('Category Sum of Odds', 8, 4): {1: 27021, 22: 36376, 28: 36603}, ('Category Sum of Odds', 8, 5): {1: 1069, 14: 32451, 26: 32884, 31: 33596}, ('Category Sum of Odds', 8, 6): {4: 31598, 28: 33454, 33: 34948}, ('Category Sum of Odds', 8, 7): {6: 27327, 29: 35647, 34: 37026}, ('Category Sum of Odds', 8, 8): {4: 1, 26: 40489, 33: 37825, 38: 21685}, ('Category Sum of Evens', 1, 1): {0: 49585, 6: 50415}, ('Category Sum of Evens', 1, 2): {0: 44331, 6: 55669}, ('Category Sum of Evens', 1, 3): {0: 29576, 6: 70424}, ('Category Sum of Evens', 1, 4): {0: 24744, 6: 75256}, ('Category Sum of Evens', 1, 5): {0: 20574, 6: 79426}, ('Category Sum of Evens', 1, 6): {0: 17182, 6: 82818}, ('Category Sum of Evens', 1, 7): {0: 14152, 6: 85848}, ('Category Sum of Evens', 1, 8): {0: 8911, 6: 91089}, 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6214, 8: 67940, 12: 25846}, ('Category Sum of Evens', 4, 2): {0: 16230, 12: 55675, 16: 28095}, ('Category Sum of Evens', 4, 3): {0: 11069, 16: 70703, 20: 18228}, ('Category Sum of Evens', 4, 4): {0: 13339, 20: 86661}, ('Category Sum of Evens', 4, 5): {0: 8193, 18: 66423, 22: 25384}, ('Category Sum of Evens', 4, 6): {0: 11127, 18: 53742, 22: 35131}, ('Category Sum of Evens', 4, 7): {0: 7585, 18: 48073, 24: 44342}, ('Category Sum of Evens', 4, 8): {0: 642, 18: 46588, 24: 52770}, ('Category Sum of Evens', 5, 1): {0: 8373, 8: 50641, 16: 40986}, ('Category Sum of Evens', 5, 2): {0: 7271, 12: 42254, 20: 50475}, ('Category Sum of Evens', 5, 3): {0: 8350, 16: 44711, 24: 46939}, ('Category Sum of Evens', 5, 4): {0: 8161, 18: 44426, 26: 47413}, ('Category Sum of Evens', 5, 5): {0: 350, 8: 16033, 24: 67192, 28: 16425}, ('Category Sum of Evens', 5, 6): {0: 10318, 24: 64804, 28: 24878}, ('Category Sum of Evens', 5, 7): {0: 12783, 24: 52804, 28: 34413}, ('Category Sum of Evens', 5, 8): {0: 1, 24: 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44313}, ('Category Double Threes and Fours', 7, 8): {8: 4625, 44: 40601, 48: 26475, 54: 28299}, ('Category Double Threes and Fours', 8, 1): {0: 3982, 16: 56447, 28: 39571}, ('Category Double Threes and Fours', 8, 2): {0: 1645, 20: 25350, 30: 37385, 42: 35620}, ('Category Double Threes and Fours', 8, 3): {0: 6, 26: 23380, 40: 40181, 50: 36433}, ('Category Double Threes and Fours', 8, 4): {0: 541, 20: 16547, 42: 38406, 52: 44506}, ('Category Double Threes and Fours', 8, 5): {6: 2956, 30: 16449, 46: 43983, 56: 36612}, ('Category Double Threes and Fours', 8, 6): {0: 2, 12: 7360, 38: 19332, 54: 53627, 58: 19679}, ('Category Double Threes and Fours', 8, 7): {6: 9699, 48: 38611, 54: 28390, 60: 23300}, ('Category Double Threes and Fours', 8, 8): {8: 5, 20: 10535, 52: 41790, 62: 47670}, ('Category Quadruple Ones and Twos', 1, 1): {0: 66567, 8: 33433}, ('Category Quadruple Ones and Twos', 1, 2): {0: 44809, 8: 55191}, ('Category Quadruple Ones and Twos', 1, 3): {0: 37100, 8: 62900}, ('Category 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42931, 32: 18156}, ('Category Quadruple Ones and Twos', 4, 7): {0: 5419, 24: 53017, 32: 41564}, ('Category Quadruple Ones and Twos', 4, 8): {0: 3135, 24: 47352, 32: 49513}, ('Category Quadruple Ones and Twos', 5, 1): {0: 13112, 8: 41252, 20: 45636}, ('Category Quadruple Ones and Twos', 5, 2): {0: 7293, 16: 50711, 28: 41996}, ('Category Quadruple Ones and Twos', 5, 3): {0: 719, 20: 55921, 32: 43360}, ('Category Quadruple Ones and Twos', 5, 4): {0: 1152, 20: 38570, 32: 60278}, ('Category Quadruple Ones and Twos', 5, 5): {0: 5647, 24: 40910, 36: 53443}, ('Category Quadruple Ones and Twos', 5, 6): {0: 194, 28: 51527, 40: 48279}, ('Category Quadruple Ones and Twos', 5, 7): {0: 1449, 28: 39301, 36: 41332, 40: 17918}, ('Category Quadruple Ones and Twos', 5, 8): {0: 6781, 32: 52834, 40: 40385}, ('Category Quadruple Ones and Twos', 6, 1): {0: 8646, 12: 53753, 24: 37601}, ('Category Quadruple Ones and Twos', 6, 2): {0: 844, 16: 40583, 28: 58573}, ('Category Quadruple Ones and Twos', 6, 3): {0: 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{0: 13387, 40: 86613}, ('Category 2-1-2 Consecutive', 6, 8): {0: 9134, 40: 90866}, ('Category 2-1-2 Consecutive', 7, 1): {0: 84168, 40: 15832}, ('Category 2-1-2 Consecutive', 7, 2): {0: 52659, 40: 47341}, ('Category 2-1-2 Consecutive', 7, 3): {0: 30435, 40: 69565}, ('Category 2-1-2 Consecutive', 7, 4): {0: 17477, 40: 82523}, ('Category 2-1-2 Consecutive', 7, 5): {0: 9782, 40: 90218}, ('Category 2-1-2 Consecutive', 7, 6): {0: 5316, 40: 94684}, ('Category 2-1-2 Consecutive', 7, 7): {0: 2995, 40: 97005}, ('Category 2-1-2 Consecutive', 7, 8): {0: 1689, 40: 98311}, ('Category 2-1-2 Consecutive', 8, 1): {0: 71089, 40: 28911}, ('Category 2-1-2 Consecutive', 8, 2): {0: 33784, 40: 66216}, ('Category 2-1-2 Consecutive', 8, 3): {0: 14820, 40: 85180}, ('Category 2-1-2 Consecutive', 8, 4): {0: 6265, 40: 93735}, ('Category 2-1-2 Consecutive', 8, 5): {0: 2600, 40: 97400}, ('Category 2-1-2 Consecutive', 8, 6): {0: 1155, 40: 98845}, ('Category 2-1-2 Consecutive', 8, 7): {0: 487, 40: 99513}, ('Category 2-1-2 Consecutive', 8, 8): {0: 190, 40: 99810}, ('Category Five Distinct Dice', 1, 1): {0: 100000}, ('Category Five Distinct Dice', 1, 2): {0: 100000}, ('Category Five Distinct Dice', 1, 3): {0: 100000}, ('Category Five Distinct Dice', 1, 4): {0: 100000}, ('Category Five Distinct Dice', 1, 5): {0: 100000}, ('Category Five Distinct Dice', 1, 6): {0: 100000}, ('Category Five Distinct Dice', 1, 7): {0: 100000}, ('Category Five Distinct Dice', 1, 8): {0: 100000}, ('Category Five Distinct Dice', 2, 1): {0: 100000}, ('Category Five Distinct Dice', 2, 2): {0: 100000}, ('Category Five Distinct Dice', 2, 3): {0: 100000}, ('Category Five Distinct Dice', 2, 4): {0: 100000}, ('Category Five Distinct Dice', 2, 5): {0: 100000}, ('Category Five Distinct Dice', 2, 6): {0: 100000}, ('Category Five Distinct Dice', 2, 7): {0: 100000}, ('Category Five Distinct Dice', 2, 8): {0: 100000}, ('Category Five Distinct Dice', 3, 1): {0: 100000}, ('Category Five Distinct Dice', 3, 2): {0: 100000}, ('Category Five Distinct Dice', 3, 3): {0: 100000}, ('Category Five Distinct Dice', 3, 4): {0: 100000}, ('Category Five Distinct Dice', 3, 5): {0: 100000}, ('Category Five Distinct Dice', 3, 6): {0: 100000}, ('Category Five Distinct Dice', 3, 7): {0: 100000}, ('Category Five Distinct Dice', 3, 8): {0: 100000}, ('Category Five Distinct Dice', 4, 1): {0: 100000}, ('Category Five Distinct Dice', 4, 2): {0: 100000}, ('Category Five Distinct Dice', 4, 3): {0: 100000}, ('Category Five Distinct Dice', 4, 4): {0: 100000}, ('Category Five Distinct Dice', 4, 5): {0: 100000}, ('Category Five Distinct Dice', 4, 6): {0: 100000}, ('Category Five Distinct Dice', 4, 7): {0: 100000}, ('Category Five Distinct Dice', 4, 8): {0: 100000}, ('Category Five Distinct Dice', 5, 1): {0: 90907, 25: 9093}, ('Category Five Distinct Dice', 5, 2): {0: 68020, 25: 31980}, ('Category Five Distinct Dice', 5, 3): {0: 47692, 25: 52308}, ('Category Five Distinct Dice', 5, 4): {0: 32383, 25: 67617}, ('Category Five Distinct Dice', 5, 5): {0: 21631, 25: 78369}, ('Category Five Distinct Dice', 5, 6): {0: 14366, 25: 85634}, ('Category Five Distinct Dice', 5, 7): {0: 9568, 25: 90432}, ('Category Five Distinct Dice', 5, 8): {0: 6360, 25: 93640}, ('Category Five Distinct Dice', 6, 1): {0: 75051, 25: 24949}, ('Category Five Distinct Dice', 6, 2): {0: 38409, 25: 61591}, ('Category Five Distinct Dice', 6, 3): {0: 17505, 25: 82495}, ('Category Five Distinct Dice', 6, 4): {0: 7862, 25: 92138}, ('Category Five Distinct Dice', 6, 5): {0: 3538, 25: 96462}, ('Category Five Distinct Dice', 6, 6): {0: 1645, 25: 98355}, ('Category Five Distinct Dice', 6, 7): {0: 714, 25: 99286}, ('Category Five Distinct Dice', 6, 8): {0: 341, 25: 99659}, ('Category Five Distinct Dice', 7, 1): {0: 58588, 25: 41412}, ('Category Five Distinct Dice', 7, 2): {0: 19487, 25: 80513}, ('Category Five Distinct Dice', 7, 3): {0: 6043, 25: 93957}, ('Category Five Distinct Dice', 7, 4): {0: 1799, 25: 98201}, ('Category Five Distinct Dice', 7, 5): {0: 544, 25: 99456}, ('Category Five Distinct Dice', 7, 6): {0: 169, 25: 99831}, ('Category Five Distinct Dice', 7, 7): {0: 59, 25: 99941}, ('Category Five Distinct Dice', 7, 8): {0: 11, 25: 99989}, ('Category Five Distinct Dice', 8, 1): {0: 43586, 25: 56414}, ('Category Five Distinct Dice', 8, 2): {0: 9615, 25: 90385}, ('Category Five Distinct Dice', 8, 3): {0: 1944, 25: 98056}, ('Category Five Distinct Dice', 8, 4): {0: 383, 25: 99617}, ('Category Five Distinct Dice', 8, 5): {0: 77, 25: 99923}, ('Category Five Distinct Dice', 8, 6): {0: 18, 25: 99982}, ('Category Five Distinct Dice', 8, 7): {0: 3, 25: 99997}, ('Category Five Distinct Dice', 8, 8): {0: 2, 25: 99998}, ('Category 4&5 Full House', 1, 1): {0: 100000}, ('Category 4&5 Full House', 1, 2): {0: 100000}, ('Category 4&5 Full House', 1, 3): {0: 100000}, ('Category 4&5 Full House', 1, 4): {0: 100000}, ('Category 4&5 Full House', 1, 5): {0: 100000}, ('Category 4&5 Full House', 1, 6): {0: 100000}, ('Category 4&5 Full House', 1, 7): {0: 100000}, ('Category 4&5 Full House', 1, 8): {0: 100000}, ('Category 4&5 Full House', 2, 1): {0: 100000}, ('Category 4&5 Full House', 2, 2): {0: 100000}, ('Category 4&5 Full House', 2, 3): {0: 100000}, ('Category 4&5 Full House', 2, 4): {0: 100000}, ('Category 4&5 Full House', 2, 5): {0: 100000}, ('Category 4&5 Full House', 2, 6): {0: 100000}, ('Category 4&5 Full House', 2, 7): {0: 100000}, ('Category 4&5 Full House', 2, 8): {0: 100000}, ('Category 4&5 Full House', 3, 1): {0: 100000}, ('Category 4&5 Full House', 3, 2): {0: 100000}, ('Category 4&5 Full House', 3, 3): {0: 100000}, ('Category 4&5 Full House', 3, 4): {0: 100000}, ('Category 4&5 Full House', 3, 5): {0: 100000}, ('Category 4&5 Full House', 3, 6): {0: 100000}, ('Category 4&5 Full House', 3, 7): {0: 100000}, ('Category 4&5 Full House', 3, 8): {0: 100000}, ('Category 4&5 Full House', 4, 1): {0: 100000}, ('Category 4&5 Full House', 4, 2): {0: 100000}, ('Category 4&5 Full House', 4, 3): {0: 100000}, ('Category 4&5 Full House', 4, 4): {0: 100000}, ('Category 4&5 Full House', 4, 5): {0: 100000}, ('Category 4&5 Full House', 4, 6): {0: 100000}, ('Category 4&5 Full House', 4, 7): {0: 100000}, ('Category 4&5 Full House', 4, 8): {0: 100000}, ('Category 4&5 Full House', 5, 1): {0: 100000}, ('Category 4&5 Full House', 5, 2): {0: 96607, 50: 3393}, ('Category 4&5 Full House', 5, 3): {0: 88788, 50: 11212}, ('Category 4&5 Full House', 5, 4): {0: 77799, 50: 22201}, ('Category 4&5 Full House', 5, 5): {0: 65797, 50: 34203}, ('Category 4&5 Full House', 5, 6): {0: 54548, 50: 45452}, ('Category 4&5 Full House', 5, 7): {0: 44898, 50: 55102}, ('Category 4&5 Full House', 5, 8): {0: 36881, 50: 63119}, ('Category 4&5 Full House', 6, 1): {0: 100000}, ('Category 4&5 Full House', 6, 2): {0: 88680, 50: 11320}, ('Category 4&5 Full House', 6, 3): {0: 70215, 50: 29785}, ('Category 4&5 Full House', 6, 4): {0: 50801, 50: 49199}, ('Category 4&5 Full House', 6, 5): {0: 35756, 50: 64244}, ('Category 4&5 Full House', 6, 6): {0: 24698, 50: 75302}, ('Category 4&5 Full House', 6, 7): {0: 17145, 50: 82855}, ('Category 4&5 Full House', 6, 8): {0: 11846, 50: 88154}, ('Category 4&5 Full House', 7, 1): {0: 97090, 50: 2910}, ('Category 4&5 Full House', 7, 2): {0: 77440, 50: 22560}, ('Category 4&5 Full House', 7, 3): {0: 51372, 50: 48628}, ('Category 4&5 Full House', 7, 4): {0: 30566, 50: 69434}, ('Category 4&5 Full House', 7, 5): {0: 17866, 50: 82134}, ('Category 4&5 Full House', 7, 6): {0: 10521, 50: 89479}, ('Category 4&5 Full House', 7, 7): {0: 6204, 50: 93796}, ('Category 4&5 Full House', 7, 8): {0: 3670, 50: 96330}, ('Category 4&5 Full House', 8, 1): {0: 94172, 50: 5828}, ('Category 4&5 Full House', 8, 2): {0: 64693, 50: 35307}, ('Category 4&5 Full House', 8, 3): {0: 35293, 50: 64707}, ('Category 4&5 Full House', 8, 4): {0: 17749, 50: 82251}, ('Category 4&5 Full House', 8, 5): {0: 8740, 50: 91260}, ('Category 4&5 Full House', 8, 6): {0: 4550, 50: 95450}, ('Category 4&5 Full House', 8, 7): {0: 2218, 50: 97782}, ('Category 4&5 Full House', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file From a3e4ec49d4363b973474948acf995301f68e3cd3 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 4 Sep 2024 21:47:15 +0200 Subject: [PATCH 112/127] :dog: --- worlds/yachtdice/YachtWeights.py | 2357 +++++++++++++++++++++++++++++- 1 file changed, 2356 insertions(+), 1 deletion(-) diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 6ad742ea3b4c..5f647f3420ba 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -6,4 +6,2359 @@ # {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} # this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls. # 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = {('Category Ones', 0, 0): {0: 100000}, ('Category Ones', 0, 1): {0: 100000}, ('Category Ones', 0, 2): {0: 100000}, ('Category Ones', 0, 3): {0: 100000}, ('Category Ones', 0, 4): {0: 100000}, ('Category Ones', 0, 5): {0: 100000}, ('Category Ones', 0, 6): {0: 100000}, ('Category Ones', 0, 7): {0: 100000}, ('Category Ones', 0, 8): {0: 100000}, ('Category Ones', 1, 0): {0: 100000}, ('Category Ones', 1, 1): {0: 100000}, ('Category Ones', 1, 2): {0: 100000}, ('Category Ones', 1, 3): {0: 100000}, ('Category Ones', 1, 4): {0: 100000}, ('Category Ones', 1, 5): {0: 100000}, ('Category Ones', 1, 6): {0: 33491, 1: 66509}, ('Category Ones', 1, 7): {0: 27838, 1: 72162}, ('Category Ones', 1, 8): {0: 23094, 1: 76906}, ('Category Ones', 2, 0): {0: 100000}, ('Category Ones', 2, 1): {0: 100000}, ('Category Ones', 2, 2): {0: 100000}, ('Category Ones', 2, 3): {0: 33544, 1: 66456}, ('Category Ones', 2, 4): {0: 23342, 1: 76658}, ('Category Ones', 2, 5): {0: 16036, 2: 83964}, ('Category Ones', 2, 6): {0: 11355, 2: 88645}, ('Category Ones', 2, 7): {0: 7812, 2: 92188}, ('Category Ones', 2, 8): {0: 5395, 2: 94605}, ('Category Ones', 3, 0): {0: 100000}, ('Category Ones', 3, 1): {0: 100000}, ('Category Ones', 3, 2): {0: 33327, 1: 66673}, ('Category Ones', 3, 3): {0: 19432, 2: 80568}, ('Category Ones', 3, 4): {0: 11191, 2: 88809}, ('Category Ones', 3, 5): {0: 35427, 2: 64573}, ('Category Ones', 3, 6): {0: 26198, 2: 73802}, ('Category Ones', 3, 7): {0: 18851, 3: 81149}, ('Category Ones', 3, 8): {0: 13847, 3: 86153}, ('Category Ones', 4, 0): {0: 100000}, ('Category Ones', 4, 1): {0: 100000}, ('Category Ones', 4, 2): {0: 23349, 2: 76651}, ('Category Ones', 4, 3): {0: 11366, 2: 88634}, ('Category Ones', 4, 4): {0: 28572, 3: 71428}, ('Category Ones', 4, 5): {0: 17976, 3: 82024}, ('Category Ones', 4, 6): {0: 1253, 3: 98747}, ('Category Ones', 4, 7): {0: 31228, 3: 68772}, ('Category Ones', 4, 8): {0: 23273, 4: 76727}, ('Category Ones', 5, 0): {0: 100000}, ('Category Ones', 5, 1): {0: 100000}, ('Category Ones', 5, 2): {0: 16212, 2: 83788}, ('Category Ones', 5, 3): {0: 30104, 3: 69896}, ('Category Ones', 5, 4): {0: 2552, 3: 97448}, ('Category Ones', 5, 5): {0: 32028, 4: 67972}, ('Category Ones', 5, 6): {0: 21215, 4: 78785}, ('Category Ones', 5, 7): {0: 2295, 4: 97705}, ('Category Ones', 5, 8): {0: 1167, 4: 98833}, ('Category Ones', 6, 0): {0: 100000}, ('Category Ones', 6, 1): {0: 33501, 1: 66499}, ('Category Ones', 6, 2): {0: 40705, 2: 59295}, ('Category Ones', 6, 3): {0: 3764, 3: 96236}, ('Category Ones', 6, 4): {0: 9324, 4: 90676}, ('Category Ones', 6, 5): {0: 4208, 4: 95792}, ('Category Ones', 6, 6): {0: 158, 5: 99842}, ('Category Ones', 6, 7): {0: 5503, 5: 94497}, ('Category Ones', 6, 8): {0: 2896, 5: 97104}, ('Category Ones', 7, 0): {0: 100000}, ('Category Ones', 7, 1): {0: 27838, 2: 72162}, ('Category Ones', 7, 2): {0: 7796, 3: 92204}, ('Category Ones', 7, 3): {0: 13389, 4: 86611}, ('Category Ones', 7, 4): {0: 5252, 4: 94748}, ('Category Ones', 7, 5): {0: 9854, 5: 90146}, ('Category Ones', 7, 6): {0: 4625, 5: 95375}, ('Category Ones', 7, 7): {0: 30339, 6: 69661}, ('Category Ones', 7, 8): {0: 5519, 6: 94481}, ('Category Ones', 8, 0): {0: 100000}, ('Category Ones', 8, 1): {0: 23156, 2: 76844}, ('Category Ones', 8, 2): {0: 5472, 3: 94528}, ('Category Ones', 8, 3): {0: 8661, 4: 91339}, ('Category Ones', 8, 4): {0: 12125, 5: 87875}, ('Category Ones', 8, 5): {0: 5173, 5: 94827}, ('Category Ones', 8, 6): {0: 8872, 6: 91128}, ('Category Ones', 8, 7): {0: 4236, 6: 95764}, ('Category Ones', 8, 8): {0: 9107, 7: 90893}, ('Category Twos', 0, 0): {0: 100000}, ('Category Twos', 0, 1): {0: 100000}, ('Category Twos', 0, 2): {0: 100000}, ('Category Twos', 0, 3): {0: 100000}, ('Category Twos', 0, 4): {0: 100000}, ('Category Twos', 0, 5): {0: 100000}, ('Category Twos', 0, 6): {0: 100000}, ('Category Twos', 0, 7): {0: 100000}, ('Category Twos', 0, 8): {0: 100000}, ('Category Twos', 1, 0): {0: 100000}, ('Category Twos', 1, 1): {0: 100000}, ('Category Twos', 1, 2): {0: 100000}, ('Category Twos', 1, 3): {0: 57818, 2: 42182}, ('Category Twos', 1, 4): {0: 48418, 2: 51582}, ('Category Twos', 1, 5): {0: 40301, 2: 59699}, ('Category Twos', 1, 6): {0: 33558, 2: 66442}, ('Category Twos', 1, 7): {0: 28182, 2: 71818}, ('Category Twos', 1, 8): {0: 23406, 2: 76594}, ('Category Twos', 2, 0): {0: 100000}, ('Category Twos', 2, 1): {0: 100000}, ('Category Twos', 2, 2): {0: 48238, 2: 51762}, ('Category Twos', 2, 3): {0: 33290, 4: 66710}, ('Category Twos', 2, 4): {0: 23136, 4: 76864}, ('Category Twos', 2, 5): {0: 16146, 4: 83854}, ('Category Twos', 2, 6): {0: 11083, 4: 88917}, ('Category Twos', 2, 7): {0: 7662, 4: 92338}, ('Category Twos', 2, 8): {0: 5354, 4: 94646}, ('Category Twos', 3, 0): {0: 100000}, ('Category Twos', 3, 1): {0: 58021, 2: 41979}, ('Category Twos', 3, 2): {0: 33548, 4: 66452}, ('Category Twos', 3, 3): {0: 19375, 4: 80625}, ('Category Twos', 3, 4): {0: 10998, 4: 89002}, ('Category Twos', 3, 5): {0: 6519, 6: 93481}, ('Category Twos', 3, 6): {0: 3619, 6: 96381}, ('Category Twos', 3, 7): {0: 2195, 6: 97805}, ('Category Twos', 3, 8): {0: 13675, 6: 86325}, ('Category Twos', 4, 0): {0: 100000}, ('Category Twos', 4, 1): {0: 48235, 2: 51765}, ('Category Twos', 4, 2): {0: 23289, 4: 76711}, ('Category Twos', 4, 3): {0: 11177, 6: 88823}, ('Category Twos', 4, 4): {0: 5499, 6: 94501}, ('Category Twos', 4, 5): {0: 18356, 6: 81644}, ('Category Twos', 4, 6): {0: 11169, 8: 88831}, ('Category Twos', 4, 7): {0: 6945, 8: 93055}, ('Category Twos', 4, 8): {0: 4091, 8: 95909}, ('Category Twos', 5, 0): {0: 100000}, ('Category Twos', 5, 1): {0: 40028, 4: 59972}, ('Category Twos', 5, 2): {0: 16009, 6: 83991}, ('Category Twos', 5, 3): {0: 6489, 6: 93511}, ('Category Twos', 5, 4): {0: 16690, 8: 83310}, ('Category Twos', 5, 5): {0: 9016, 8: 90984}, ('Category Twos', 5, 6): {0: 4602, 8: 95398}, ('Category Twos', 5, 7): {0: 13627, 10: 86373}, ('Category Twos', 5, 8): {0: 8742, 10: 91258}, ('Category Twos', 6, 0): {0: 100000}, ('Category Twos', 6, 1): {0: 33502, 4: 66498}, ('Category Twos', 6, 2): {0: 11210, 6: 88790}, ('Category Twos', 6, 3): {0: 3673, 6: 96327}, ('Category Twos', 6, 4): {0: 9291, 8: 90709}, ('Category Twos', 6, 5): {0: 441, 8: 99559}, ('Category Twos', 6, 6): {0: 10255, 10: 89745}, ('Category Twos', 6, 7): {0: 5646, 10: 94354}, ('Category Twos', 6, 8): {0: 14287, 12: 85713}, ('Category Twos', 7, 0): {0: 100000}, ('Category Twos', 7, 1): {0: 27683, 4: 72317}, ('Category Twos', 7, 2): {0: 7824, 6: 92176}, ('Category Twos', 7, 3): {0: 13167, 8: 86833}, ('Category Twos', 7, 4): {0: 564, 10: 99436}, ('Category Twos', 7, 5): {0: 9824, 10: 90176}, ('Category Twos', 7, 6): {0: 702, 12: 99298}, ('Category Twos', 7, 7): {0: 10186, 12: 89814}, ('Category Twos', 7, 8): {0: 942, 12: 99058}, ('Category Twos', 8, 0): {0: 100000}, ('Category Twos', 8, 1): {0: 23378, 4: 76622}, ('Category Twos', 8, 2): {0: 5420, 8: 94580}, ('Category Twos', 8, 3): {0: 8560, 10: 91440}, ('Category Twos', 8, 4): {0: 12199, 12: 87801}, ('Category Twos', 8, 5): {0: 879, 12: 99121}, ('Category Twos', 8, 6): {0: 9033, 14: 90967}, ('Category Twos', 8, 7): {0: 15767, 14: 84233}, ('Category Twos', 8, 8): {2: 9033, 14: 90967}, ('Category Threes', 0, 0): {0: 100000}, ('Category Threes', 0, 1): {0: 100000}, ('Category Threes', 0, 2): {0: 100000}, ('Category Threes', 0, 3): {0: 100000}, ('Category Threes', 0, 4): {0: 100000}, ('Category Threes', 0, 5): {0: 100000}, ('Category Threes', 0, 6): {0: 100000}, ('Category Threes', 0, 7): {0: 100000}, ('Category Threes', 0, 8): {0: 100000}, ('Category Threes', 1, 0): {0: 100000}, ('Category Threes', 1, 1): {0: 100000}, ('Category Threes', 1, 2): {0: 69569, 3: 30431}, ('Category Threes', 1, 3): {0: 57872, 3: 42128}, ('Category Threes', 1, 4): {0: 48081, 3: 51919}, ('Category Threes', 1, 5): {0: 40271, 3: 59729}, ('Category Threes', 1, 6): {0: 33201, 3: 66799}, ('Category Threes', 1, 7): {0: 27903, 3: 72097}, ('Category Threes', 1, 8): {0: 23240, 3: 76760}, ('Category Threes', 2, 0): {0: 100000}, ('Category Threes', 2, 1): {0: 69419, 3: 30581}, ('Category Threes', 2, 2): {0: 48202, 3: 51798}, ('Category Threes', 2, 3): {0: 33376, 6: 66624}, ('Category Threes', 2, 4): {0: 23276, 6: 76724}, ('Category Threes', 2, 5): {0: 16092, 6: 83908}, ('Category Threes', 2, 6): {0: 11232, 6: 88768}, ('Category Threes', 2, 7): {0: 7589, 6: 92411}, ('Category Threes', 2, 8): {0: 5447, 6: 94553}, ('Category Threes', 3, 0): {0: 100000}, ('Category Threes', 3, 1): {0: 57964, 3: 42036}, ('Category Threes', 3, 2): {0: 33637, 6: 66363}, ('Category Threes', 3, 3): {0: 19520, 6: 80480}, ('Category Threes', 3, 4): {0: 11265, 6: 88735}, ('Category Threes', 3, 5): {0: 6419, 6: 72177, 9: 21404}, ('Category Threes', 3, 6): {0: 3810, 6: 66884, 9: 29306}, ('Category Threes', 3, 7): {0: 2174, 6: 60595, 9: 37231}, ('Category Threes', 3, 8): {0: 1237, 6: 53693, 9: 45070}, ('Category Threes', 4, 0): {0: 100000}, ('Category Threes', 4, 1): {0: 48121, 6: 51879}, ('Category Threes', 4, 2): {0: 23296, 6: 76704}, ('Category Threes', 4, 3): {0: 11233, 6: 68363, 9: 20404}, ('Category Threes', 4, 4): {0: 5463, 6: 60738, 9: 33799}, ('Category Threes', 4, 5): {0: 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('Category Threes', 6, 6): {0: 10168, 12: 55072, 15: 34760}, ('Category Threes', 6, 7): {0: 5519, 15: 94481}, ('Category Threes', 6, 8): {0: 2968, 15: 76504, 18: 20528}, ('Category Threes', 7, 0): {0: 100000}, ('Category Threes', 7, 1): {0: 27933, 6: 72067}, ('Category Threes', 7, 2): {0: 7794, 6: 55728, 12: 36478}, ('Category Threes', 7, 3): {0: 2138, 9: 64554, 15: 33308}, ('Category Threes', 7, 4): {0: 5238, 12: 69214, 15: 25548}, ('Category Threes', 7, 5): {0: 9894, 15: 90106}, ('Category Threes', 7, 6): {0: 4656, 15: 69353, 18: 25991}, ('Category Threes', 7, 7): {0: 10005, 15: 52430, 18: 37565}, ('Category Threes', 7, 8): {0: 5710, 18: 94290}, ('Category Threes', 8, 0): {0: 100000}, ('Category Threes', 8, 1): {0: 23337, 6: 76663}, ('Category Threes', 8, 2): {0: 5310, 9: 74178, 12: 20512}, ('Category Threes', 8, 3): {0: 8656, 12: 70598, 15: 20746}, ('Category Threes', 8, 4): {0: 291, 12: 59487, 18: 40222}, ('Category Threes', 8, 5): {0: 5145, 15: 63787, 18: 31068}, ('Category 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39731}, ('Category Double Threes and Fours', 7, 2): {0: 3319, 20: 36331, 30: 38564, 36: 21786}, ('Category Double Threes and Fours', 7, 3): {0: 2666, 18: 16444, 34: 41412, 44: 39478}, ('Category Double Threes and Fours', 7, 4): {0: 99, 12: 9496, 38: 50302, 46: 40103}, ('Category Double Threes and Fours', 7, 5): {0: 45, 12: 13200, 42: 52460, 50: 34295}, ('Category Double Threes and Fours', 7, 6): {8: 2400, 28: 16653, 46: 60564, 52: 20383}, ('Category Double Threes and Fours', 7, 7): {6: 7, 12: 11561, 44: 44119, 54: 44313}, ('Category Double Threes and Fours', 7, 8): {8: 4625, 44: 40601, 48: 26475, 54: 28299}, ('Category Double Threes and Fours', 8, 1): {0: 3982, 16: 56447, 28: 39571}, ('Category Double Threes and Fours', 8, 2): {0: 1645, 20: 25350, 30: 37385, 42: 35620}, ('Category Double Threes and Fours', 8, 3): {0: 6, 26: 23380, 40: 40181, 50: 36433}, ('Category Double Threes and Fours', 8, 4): {0: 541, 20: 16547, 42: 38406, 52: 44506}, ('Category Double Threes and Fours', 8, 5): {6: 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("Category Five Distinct Dice", 3, 6): {0: 100000}, + ("Category Five Distinct Dice", 3, 7): {0: 100000}, + ("Category Five Distinct Dice", 3, 8): {0: 100000}, + ("Category Five Distinct Dice", 4, 1): {0: 100000}, + ("Category Five Distinct Dice", 4, 2): {0: 100000}, + ("Category Five Distinct Dice", 4, 3): {0: 100000}, + ("Category Five Distinct Dice", 4, 4): {0: 100000}, + ("Category Five Distinct Dice", 4, 5): {0: 100000}, + ("Category Five Distinct Dice", 4, 6): {0: 100000}, + ("Category Five Distinct Dice", 4, 7): {0: 100000}, + ("Category Five Distinct Dice", 4, 8): {0: 100000}, + ("Category Five Distinct Dice", 5, 1): {0: 90907, 25: 9093}, + ("Category Five Distinct Dice", 5, 2): {0: 68020, 25: 31980}, + ("Category Five Distinct Dice", 5, 3): {0: 47692, 25: 52308}, + ("Category Five Distinct Dice", 5, 4): {0: 32383, 25: 67617}, + ("Category Five Distinct Dice", 5, 5): {0: 21631, 25: 78369}, + ("Category Five Distinct Dice", 5, 6): {0: 14366, 25: 85634}, + ("Category Five Distinct Dice", 5, 7): {0: 9568, 25: 90432}, + ("Category Five Distinct Dice", 5, 8): {0: 6360, 25: 93640}, + ("Category Five Distinct Dice", 6, 1): {0: 75051, 25: 24949}, + ("Category Five Distinct Dice", 6, 2): {0: 38409, 25: 61591}, + ("Category Five Distinct Dice", 6, 3): {0: 17505, 25: 82495}, + ("Category Five Distinct Dice", 6, 4): {0: 7862, 25: 92138}, + ("Category Five Distinct Dice", 6, 5): {0: 3538, 25: 96462}, + ("Category Five Distinct Dice", 6, 6): {0: 1645, 25: 98355}, + ("Category Five Distinct Dice", 6, 7): {0: 714, 25: 99286}, + ("Category Five Distinct Dice", 6, 8): {0: 341, 25: 99659}, + ("Category Five Distinct Dice", 7, 1): {0: 58588, 25: 41412}, + ("Category Five Distinct Dice", 7, 2): {0: 19487, 25: 80513}, + ("Category Five Distinct Dice", 7, 3): {0: 6043, 25: 93957}, + ("Category Five Distinct Dice", 7, 4): {0: 1799, 25: 98201}, + ("Category Five Distinct Dice", 7, 5): {0: 544, 25: 99456}, + ("Category Five Distinct Dice", 7, 6): {0: 169, 25: 99831}, + ("Category Five Distinct Dice", 7, 7): {0: 59, 25: 99941}, + ("Category Five Distinct Dice", 7, 8): {0: 11, 25: 99989}, + ("Category Five Distinct Dice", 8, 1): {0: 43586, 25: 56414}, + ("Category Five Distinct Dice", 8, 2): {0: 9615, 25: 90385}, + ("Category Five Distinct Dice", 8, 3): {0: 1944, 25: 98056}, + ("Category Five Distinct Dice", 8, 4): {0: 383, 25: 99617}, + ("Category Five Distinct Dice", 8, 5): {0: 77, 25: 99923}, + ("Category Five Distinct Dice", 8, 6): {0: 18, 25: 99982}, + ("Category Five Distinct Dice", 8, 7): {0: 3, 25: 99997}, + ("Category Five Distinct Dice", 8, 8): {0: 2, 25: 99998}, + ("Category 4&5 Full House", 1, 1): {0: 100000}, + ("Category 4&5 Full House", 1, 2): {0: 100000}, + ("Category 4&5 Full House", 1, 3): {0: 100000}, + ("Category 4&5 Full House", 1, 4): {0: 100000}, + ("Category 4&5 Full House", 1, 5): {0: 100000}, + ("Category 4&5 Full House", 1, 6): {0: 100000}, + ("Category 4&5 Full House", 1, 7): {0: 100000}, + ("Category 4&5 Full House", 1, 8): {0: 100000}, + ("Category 4&5 Full House", 2, 1): {0: 100000}, + ("Category 4&5 Full House", 2, 2): {0: 100000}, + ("Category 4&5 Full House", 2, 3): {0: 100000}, + ("Category 4&5 Full House", 2, 4): {0: 100000}, + ("Category 4&5 Full House", 2, 5): {0: 100000}, + ("Category 4&5 Full House", 2, 6): {0: 100000}, + ("Category 4&5 Full House", 2, 7): {0: 100000}, + ("Category 4&5 Full House", 2, 8): {0: 100000}, + ("Category 4&5 Full House", 3, 1): {0: 100000}, + ("Category 4&5 Full House", 3, 2): {0: 100000}, + ("Category 4&5 Full House", 3, 3): {0: 100000}, + ("Category 4&5 Full House", 3, 4): {0: 100000}, + ("Category 4&5 Full House", 3, 5): {0: 100000}, + ("Category 4&5 Full House", 3, 6): {0: 100000}, + ("Category 4&5 Full House", 3, 7): {0: 100000}, + ("Category 4&5 Full House", 3, 8): {0: 100000}, + ("Category 4&5 Full House", 4, 1): {0: 100000}, + ("Category 4&5 Full House", 4, 2): {0: 100000}, + ("Category 4&5 Full House", 4, 3): {0: 100000}, + ("Category 4&5 Full House", 4, 4): {0: 100000}, + ("Category 4&5 Full House", 4, 5): {0: 100000}, + ("Category 4&5 Full House", 4, 6): {0: 100000}, + ("Category 4&5 Full House", 4, 7): {0: 100000}, + ("Category 4&5 Full House", 4, 8): {0: 100000}, + ("Category 4&5 Full House", 5, 1): {0: 100000}, + ("Category 4&5 Full House", 5, 2): {0: 96607, 50: 3393}, + ("Category 4&5 Full House", 5, 3): {0: 88788, 50: 11212}, + ("Category 4&5 Full House", 5, 4): {0: 77799, 50: 22201}, + ("Category 4&5 Full House", 5, 5): {0: 65797, 50: 34203}, + ("Category 4&5 Full House", 5, 6): {0: 54548, 50: 45452}, + ("Category 4&5 Full House", 5, 7): {0: 44898, 50: 55102}, + ("Category 4&5 Full House", 5, 8): {0: 36881, 50: 63119}, + ("Category 4&5 Full House", 6, 1): {0: 100000}, + ("Category 4&5 Full House", 6, 2): {0: 88680, 50: 11320}, + ("Category 4&5 Full House", 6, 3): {0: 70215, 50: 29785}, + ("Category 4&5 Full House", 6, 4): {0: 50801, 50: 49199}, + ("Category 4&5 Full House", 6, 5): {0: 35756, 50: 64244}, + ("Category 4&5 Full House", 6, 6): {0: 24698, 50: 75302}, + ("Category 4&5 Full House", 6, 7): {0: 17145, 50: 82855}, + ("Category 4&5 Full House", 6, 8): {0: 11846, 50: 88154}, + ("Category 4&5 Full House", 7, 1): {0: 97090, 50: 2910}, + ("Category 4&5 Full House", 7, 2): {0: 77440, 50: 22560}, + ("Category 4&5 Full House", 7, 3): {0: 51372, 50: 48628}, + ("Category 4&5 Full House", 7, 4): {0: 30566, 50: 69434}, + ("Category 4&5 Full House", 7, 5): {0: 17866, 50: 82134}, + ("Category 4&5 Full House", 7, 6): {0: 10521, 50: 89479}, + ("Category 4&5 Full House", 7, 7): {0: 6204, 50: 93796}, + ("Category 4&5 Full House", 7, 8): {0: 3670, 50: 96330}, + ("Category 4&5 Full House", 8, 1): {0: 94172, 50: 5828}, + ("Category 4&5 Full House", 8, 2): {0: 64693, 50: 35307}, + ("Category 4&5 Full House", 8, 3): {0: 35293, 50: 64707}, + ("Category 4&5 Full House", 8, 4): {0: 17749, 50: 82251}, + ("Category 4&5 Full House", 8, 5): {0: 8740, 50: 91260}, + ("Category 4&5 Full House", 8, 6): {0: 4550, 50: 95450}, + ("Category 4&5 Full House", 8, 7): {0: 2218, 50: 97782}, + ("Category 4&5 Full House", 8, 8): {0: 1084, 50: 98916}, +} From dc831ebdcb36d715bd333d8b69c05f733896eba2 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 4 Sep 2024 22:05:53 +0200 Subject: [PATCH 113/127] Revert setup to what it was (latest, without S) --- worlds/yachtdice/docs/setup_en.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md index 59d1c090e30b..c76cd398ce55 100644 --- a/worlds/yachtdice/docs/setup_en.md +++ b/worlds/yachtdice/docs/setup_en.md @@ -7,7 +7,7 @@ ## Playing the game Open the Yacht Dice website. There are two options: -- Download the latest release from [Yacht Dice Releases](https://github.com/spinerak/ArchipelagoYachtDice/releases/latest) and unzip the Website.zip. Then open player.html in your browser. +- Download the latest release from [Yacht Dice Release](https://github.com/spinerak/ArchipelagoYachtDice/releases/latest) and unzip the Website.zip. Then open player.html in your browser. - Cruise over to the [Yacht Dice website](https://yacht-dice-ap.netlify.app/). This also works on mobile. If the website is not available, use the first option. Both options have an "offline" play option to try out the game without having to generate a game first. From 09b26e224bee803f5b5643fef6ad2b26567a9380 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 4 Sep 2024 22:07:40 +0200 Subject: [PATCH 114/127] remove temp weights file, shouldn't be here --- worlds/yachtdice/weightsNN.txt | 1 - 1 file changed, 1 deletion(-) delete mode 100644 worlds/yachtdice/weightsNN.txt diff --git a/worlds/yachtdice/weightsNN.txt b/worlds/yachtdice/weightsNN.txt deleted file mode 100644 index d5828d76c1d4..000000000000 --- a/worlds/yachtdice/weightsNN.txt +++ /dev/null @@ -1 +0,0 @@ -{('Category Ones', 0, 0): {0: 100000}, ('Category Ones', 0, 1): {0: 100000}, ('Category Ones', 0, 2): {0: 100000}, ('Category Ones', 0, 3): {0: 100000}, ('Category Ones', 0, 4): {0: 100000}, ('Category Ones', 0, 5): {0: 100000}, ('Category Ones', 0, 6): {0: 100000}, ('Category Ones', 0, 7): {0: 100000}, ('Category Ones', 0, 8): {0: 100000}, ('Category Ones', 1, 0): {0: 100000}, ('Category Ones', 1, 1): {0: 100000}, ('Category Ones', 1, 2): {0: 100000}, ('Category Ones', 1, 3): {0: 100000}, ('Category Ones', 1, 4): {0: 100000}, ('Category Ones', 1, 5): {0: 100000}, ('Category Ones', 1, 6): {0: 33491, 1: 66509}, ('Category Ones', 1, 7): {0: 27838, 1: 72162}, ('Category Ones', 1, 8): {0: 23094, 1: 76906}, ('Category Ones', 2, 0): {0: 100000}, ('Category Ones', 2, 1): {0: 100000}, ('Category Ones', 2, 2): {0: 100000}, ('Category Ones', 2, 3): {0: 33544, 1: 66456}, ('Category Ones', 2, 4): {0: 23342, 1: 76658}, ('Category Ones', 2, 5): {0: 16036, 2: 83964}, ('Category Ones', 2, 6): {0: 11355, 2: 88645}, ('Category Ones', 2, 7): {0: 7812, 2: 92188}, ('Category Ones', 2, 8): {0: 5395, 2: 94605}, ('Category Ones', 3, 0): {0: 100000}, ('Category Ones', 3, 1): {0: 100000}, ('Category Ones', 3, 2): {0: 33327, 1: 66673}, ('Category Ones', 3, 3): {0: 19432, 2: 80568}, ('Category Ones', 3, 4): {0: 11191, 2: 88809}, ('Category Ones', 3, 5): {0: 35427, 2: 64573}, ('Category Ones', 3, 6): {0: 26198, 2: 73802}, ('Category Ones', 3, 7): {0: 18851, 3: 81149}, ('Category Ones', 3, 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79426}, ('Category Sum of Evens', 1, 6): {0: 17182, 6: 82818}, ('Category Sum of Evens', 1, 7): {0: 14152, 6: 85848}, ('Category Sum of Evens', 1, 8): {0: 8911, 6: 91089}, ('Category Sum of Evens', 2, 1): {0: 25229, 8: 74771}, ('Category Sum of Evens', 2, 2): {0: 18682, 6: 58078, 10: 23240}, ('Category Sum of Evens', 2, 3): {0: 8099, 10: 91901}, ('Category Sum of Evens', 2, 4): {0: 16906, 12: 83094}, ('Category Sum of Evens', 2, 5): {0: 11901, 12: 88099}, ('Category Sum of Evens', 2, 6): {0: 8054, 12: 91946}, ('Category Sum of Evens', 2, 7): {0: 5695, 12: 94305}, ('Category Sum of Evens', 2, 8): {0: 3950, 12: 96050}, ('Category Sum of Evens', 3, 1): {0: 25054, 6: 51545, 10: 23401}, ('Category Sum of Evens', 3, 2): {0: 17863, 10: 64652, 14: 17485}, ('Category Sum of Evens', 3, 3): {0: 7748, 12: 75072, 16: 17180}, ('Category Sum of Evens', 3, 4): {0: 1318, 12: 70339, 16: 28343}, ('Category Sum of Evens', 3, 5): {0: 7680, 12: 53582, 18: 38738}, ('Category Sum of Evens', 3, 6): {0: 1475, 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('Category Sum of Evens', 5, 6): {0: 10318, 24: 64804, 28: 24878}, ('Category Sum of Evens', 5, 7): {0: 12783, 24: 52804, 28: 34413}, ('Category Sum of Evens', 5, 8): {0: 1, 24: 56646, 30: 43353}, ('Category Sum of Evens', 6, 1): {0: 10482, 10: 48137, 18: 41381}, ('Category Sum of Evens', 6, 2): {0: 12446, 16: 43676, 24: 43878}, ('Category Sum of Evens', 6, 3): {0: 11037, 20: 44249, 28: 44714}, ('Category Sum of Evens', 6, 4): {0: 10005, 22: 42316, 30: 47679}, ('Category Sum of Evens', 6, 5): {0: 9751, 24: 42204, 32: 48045}, ('Category Sum of Evens', 6, 6): {0: 9692, 26: 45108, 34: 45200}, ('Category Sum of Evens', 6, 7): {4: 1437, 26: 42351, 34: 56212}, ('Category Sum of Evens', 6, 8): {4: 13017, 30: 51814, 36: 35169}, ('Category Sum of Evens', 7, 1): {0: 12688, 12: 45275, 20: 42037}, ('Category Sum of Evens', 7, 2): {0: 1433, 20: 60350, 28: 38217}, ('Category Sum of Evens', 7, 3): {0: 13724, 24: 43514, 32: 42762}, ('Category Sum of Evens', 7, 4): {0: 11285, 26: 40694, 34: 48021}, 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('Category Double Threes and Fours', 3, 2): {0: 8894, 14: 74049, 18: 17057}, ('Category Double Threes and Fours', 3, 3): {0: 2643, 14: 62555, 22: 34802}, ('Category Double Threes and Fours', 3, 4): {0: 1523, 6: 19996, 16: 50281, 22: 28200}, ('Category Double Threes and Fours', 3, 5): {0: 845, 16: 60496, 24: 38659}, ('Category Double Threes and Fours', 3, 6): {0: 499, 16: 51131, 24: 48370}, ('Category Double Threes and Fours', 3, 7): {0: 5542, 16: 37755, 24: 56703}, ('Category Double Threes and Fours', 3, 8): {0: 3805, 16: 32611, 24: 63584}, ('Category Double Threes and Fours', 4, 1): {0: 19809, 8: 39303, 16: 40888}, ('Category Double Threes and Fours', 4, 2): {0: 3972, 16: 71506, 22: 24522}, ('Category Double Threes and Fours', 4, 3): {0: 745, 18: 53727, 22: 28503, 28: 17025}, ('Category Double Threes and Fours', 4, 4): {0: 4862, 16: 34879, 22: 33529, 28: 26730}, ('Category Double Threes and Fours', 4, 5): {0: 2891, 16: 25367, 24: 46333, 30: 25409}, ('Category Double Threes and Fours', 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Distinct Dice', 5, 2): {0: 68020, 25: 31980}, ('Category Five Distinct Dice', 5, 3): {0: 47692, 25: 52308}, ('Category Five Distinct Dice', 5, 4): {0: 32383, 25: 67617}, ('Category Five Distinct Dice', 5, 5): {0: 21631, 25: 78369}, ('Category Five Distinct Dice', 5, 6): {0: 14366, 25: 85634}, ('Category Five Distinct Dice', 5, 7): {0: 9568, 25: 90432}, ('Category Five Distinct Dice', 5, 8): {0: 6360, 25: 93640}, ('Category Five Distinct Dice', 6, 1): {0: 75051, 25: 24949}, ('Category Five Distinct Dice', 6, 2): {0: 38409, 25: 61591}, ('Category Five Distinct Dice', 6, 3): {0: 17505, 25: 82495}, ('Category Five Distinct Dice', 6, 4): {0: 7862, 25: 92138}, ('Category Five Distinct Dice', 6, 5): {0: 3538, 25: 96462}, ('Category Five Distinct Dice', 6, 6): {0: 1645, 25: 98355}, ('Category Five Distinct Dice', 6, 7): {0: 714, 25: 99286}, ('Category Five Distinct Dice', 6, 8): {0: 341, 25: 99659}, ('Category Five Distinct Dice', 7, 1): {0: 58588, 25: 41412}, ('Category Five Distinct Dice', 7, 2): {0: 19487, 25: 80513}, ('Category Five Distinct Dice', 7, 3): {0: 6043, 25: 93957}, ('Category Five Distinct Dice', 7, 4): {0: 1799, 25: 98201}, ('Category Five Distinct Dice', 7, 5): {0: 544, 25: 99456}, ('Category Five Distinct Dice', 7, 6): {0: 169, 25: 99831}, ('Category Five Distinct Dice', 7, 7): {0: 59, 25: 99941}, ('Category Five Distinct Dice', 7, 8): {0: 11, 25: 99989}, ('Category Five Distinct Dice', 8, 1): {0: 43586, 25: 56414}, ('Category Five Distinct Dice', 8, 2): {0: 9615, 25: 90385}, ('Category Five Distinct Dice', 8, 3): {0: 1944, 25: 98056}, ('Category Five Distinct Dice', 8, 4): {0: 383, 25: 99617}, ('Category Five Distinct Dice', 8, 5): {0: 77, 25: 99923}, ('Category Five Distinct Dice', 8, 6): {0: 18, 25: 99982}, ('Category Five Distinct Dice', 8, 7): {0: 3, 25: 99997}, ('Category Five Distinct Dice', 8, 8): {0: 2, 25: 99998}, ('Category 4&5 Full House', 1, 1): {0: 100000}, ('Category 4&5 Full House', 1, 2): {0: 100000}, ('Category 4&5 Full House', 1, 3): {0: 100000}, ('Category 4&5 Full House', 1, 4): {0: 100000}, ('Category 4&5 Full House', 1, 5): {0: 100000}, ('Category 4&5 Full House', 1, 6): {0: 100000}, ('Category 4&5 Full House', 1, 7): {0: 100000}, ('Category 4&5 Full House', 1, 8): {0: 100000}, ('Category 4&5 Full House', 2, 1): {0: 100000}, ('Category 4&5 Full House', 2, 2): {0: 100000}, ('Category 4&5 Full House', 2, 3): {0: 100000}, ('Category 4&5 Full House', 2, 4): {0: 100000}, ('Category 4&5 Full House', 2, 5): {0: 100000}, ('Category 4&5 Full House', 2, 6): {0: 100000}, ('Category 4&5 Full House', 2, 7): {0: 100000}, ('Category 4&5 Full House', 2, 8): {0: 100000}, ('Category 4&5 Full House', 3, 1): {0: 100000}, ('Category 4&5 Full House', 3, 2): {0: 100000}, ('Category 4&5 Full House', 3, 3): {0: 100000}, ('Category 4&5 Full House', 3, 4): {0: 100000}, ('Category 4&5 Full House', 3, 5): {0: 100000}, ('Category 4&5 Full House', 3, 6): {0: 100000}, ('Category 4&5 Full House', 3, 7): {0: 100000}, ('Category 4&5 Full House', 3, 8): {0: 100000}, ('Category 4&5 Full House', 4, 1): {0: 100000}, ('Category 4&5 Full House', 4, 2): {0: 100000}, ('Category 4&5 Full House', 4, 3): {0: 100000}, ('Category 4&5 Full House', 4, 4): {0: 100000}, ('Category 4&5 Full House', 4, 5): {0: 100000}, ('Category 4&5 Full House', 4, 6): {0: 100000}, ('Category 4&5 Full House', 4, 7): {0: 100000}, ('Category 4&5 Full House', 4, 8): {0: 100000}, ('Category 4&5 Full House', 5, 1): {0: 100000}, ('Category 4&5 Full House', 5, 2): {0: 96607, 50: 3393}, ('Category 4&5 Full House', 5, 3): {0: 88788, 50: 11212}, ('Category 4&5 Full House', 5, 4): {0: 77799, 50: 22201}, ('Category 4&5 Full House', 5, 5): {0: 65797, 50: 34203}, ('Category 4&5 Full House', 5, 6): {0: 54548, 50: 45452}, ('Category 4&5 Full House', 5, 7): {0: 44898, 50: 55102}, ('Category 4&5 Full House', 5, 8): {0: 36881, 50: 63119}, ('Category 4&5 Full House', 6, 1): {0: 100000}, ('Category 4&5 Full House', 6, 2): {0: 88680, 50: 11320}, ('Category 4&5 Full House', 6, 3): {0: 70215, 50: 29785}, ('Category 4&5 Full House', 6, 4): {0: 50801, 50: 49199}, ('Category 4&5 Full House', 6, 5): {0: 35756, 50: 64244}, ('Category 4&5 Full House', 6, 6): {0: 24698, 50: 75302}, ('Category 4&5 Full House', 6, 7): {0: 17145, 50: 82855}, ('Category 4&5 Full House', 6, 8): {0: 11846, 50: 88154}, ('Category 4&5 Full House', 7, 1): {0: 97090, 50: 2910}, ('Category 4&5 Full House', 7, 2): {0: 77440, 50: 22560}, ('Category 4&5 Full House', 7, 3): {0: 51372, 50: 48628}, ('Category 4&5 Full House', 7, 4): {0: 30566, 50: 69434}, ('Category 4&5 Full House', 7, 5): {0: 17866, 50: 82134}, ('Category 4&5 Full House', 7, 6): {0: 10521, 50: 89479}, ('Category 4&5 Full House', 7, 7): {0: 6204, 50: 93796}, ('Category 4&5 Full House', 7, 8): {0: 3670, 50: 96330}, ('Category 4&5 Full House', 8, 1): {0: 94172, 50: 5828}, ('Category 4&5 Full House', 8, 2): {0: 64693, 50: 35307}, ('Category 4&5 Full House', 8, 3): {0: 35293, 50: 64707}, ('Category 4&5 Full House', 8, 4): {0: 17749, 50: 82251}, ('Category 4&5 Full House', 8, 5): {0: 8740, 50: 91260}, ('Category 4&5 Full House', 8, 6): {0: 4550, 50: 95450}, ('Category 4&5 Full House', 8, 7): {0: 2218, 50: 97782}, ('Category 4&5 Full House', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file From d8cc7f64203e0b1ac6614b16d60ecc3daef59637 Mon Sep 17 00:00:00 2001 From: spinerak Date: Thu, 5 Sep 2024 00:36:17 +0200 Subject: [PATCH 115/127] Made sure that there is not too many step score multipliers. Too many step score multipliers lead to gen fails too, probably because you need many categories for them to actually help a lot. So it's hard to use them at the start of the game. --- worlds/yachtdice/__init__.py | 11 ++++++++--- 1 file changed, 8 insertions(+), 3 deletions(-) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 50486c22afcd..3a79eff04046 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -231,8 +231,9 @@ def generate_early(self): weights["Roll"] = weights["Roll"] / 5 * self.frags_per_roll extra_points_added = [0] # make it a mutible type so we can change the value in the function + step_score_multipliers_added = [0] - def get_item_to_add(weights, extra_points_added): + def get_item_to_add(weights, extra_points_added, step_score_multipliers_added): all_items = self.itempool + self.precollected dice_fragments_in_pool = all_items.count("Dice") * self.frags_per_dice + all_items.count("Dice Fragment") if dice_fragments_in_pool + 1 >= 9 * self.frags_per_dice: @@ -245,6 +246,9 @@ def get_item_to_add(weights, extra_points_added): if extra_points_added[0] > 400: weights["Points"] = 0 + if step_score_multipliers_added[0] > 10: + weights["Step Score Multiplier"] = 0 + # if all weights are zero, allow to add fixed score multiplier, double category, points. if sum(weights.values()) == 0: weights["Fixed Score Multiplier"] = 1 @@ -266,6 +270,7 @@ def get_item_to_add(weights, extra_points_added): return "Fixed Score Multiplier" elif which_item_to_add == "Step Score Multiplier": weights["Step Score Multiplier"] /= 1.1 + step_score_multipliers_added[0] += 1 return "Step Score Multiplier" elif which_item_to_add == "Double category": # Below entries are the weights to add each category. @@ -307,7 +312,7 @@ def get_item_to_add(weights, extra_points_added): # adding 17 items as a start seems like the smartest way to get close to 1000 points for _ in range(17): - self.itempool.append(get_item_to_add(weights, extra_points_added)) + self.itempool.append(get_item_to_add(weights, extra_points_added, step_score_multipliers_added)) score_in_logic = dice_simulation_fill_pool( self.itempool + self.precollected, @@ -335,7 +340,7 @@ def get_item_to_add(weights, extra_points_added): else: # Keep adding items until a score of 1000 is in logic while score_in_logic < 1000: - item_to_add = get_item_to_add(weights, extra_points_added) + item_to_add = get_item_to_add(weights, extra_points_added, step_score_multipliers_added) self.itempool.append(item_to_add) if item_to_add == "1 Point": score_in_logic += 1 From 7a5a3f801a4ff4e26dd1c59918f01acd76f3981b Mon Sep 17 00:00:00 2001 From: spinerak Date: Tue, 10 Sep 2024 16:26:19 +0200 Subject: [PATCH 116/127] add filler item name --- worlds/yachtdice/__init__.py | 3 +++ 1 file changed, 3 insertions(+) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 3a79eff04046..d86ee3382d33 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -466,6 +466,9 @@ def create_regions(self): menu.exits.append(connection) connection.connect(board) self.multiworld.regions += [menu, board] + + def get_filler_item_name(self) -> str: + return "Good RNG" def set_rules(self): """ From e9432f92454979fcd5a31f8517586585362a7ab7 Mon Sep 17 00:00:00 2001 From: spinerak Date: Thu, 19 Sep 2024 21:27:58 +0200 Subject: [PATCH 117/127] Textual fixes and changes --- worlds/yachtdice/Options.py | 2 +- worlds/yachtdice/docs/en_Yacht Dice.md | 2 +- worlds/yachtdice/docs/setup_en.md | 14 ++++---------- 3 files changed, 6 insertions(+), 12 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index e687936224c3..f311caa5a993 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -80,7 +80,7 @@ class NumberRollFragmentsPerRoll(Range): """ Rolls can be split into fragments, gathering enough will give you an extra roll. You start with one roll, and there will always be one full roll in the pool. - The other three rolls are split into fragments, according to this option. + The other rolls are split into fragments, according to this option. Setting this to 1 fragment per roll just puts "Roll" objects in the pool. """ diff --git a/worlds/yachtdice/docs/en_Yacht Dice.md b/worlds/yachtdice/docs/en_Yacht Dice.md index 53eefe9e9c4b..c671dcee50b8 100644 --- a/worlds/yachtdice/docs/en_Yacht Dice.md +++ b/worlds/yachtdice/docs/en_Yacht Dice.md @@ -3,7 +3,7 @@ Welcome to Yacht Dice, the ultimate dice-rolling adventure in Archipelago! Cast your dice, chase high scores, and unlock valuable treasures. Discover new dice, extra rolls, multipliers, and special scoring categories to enhance your game. Roll your way to victory by reaching the target score! ## Understanding Location Checks -In Yacht Dice, location checks happen when you hit certain scores for the first time. The target score for your next location check is always displayed on the website. +In Yacht Dice, location checks happen when you hit certain scores for the first time. The target score for your next location check is always displayed in the game. ## Items and Their Effects When you receive an item, it could be extra dice, extra rolls, score multipliers, or new scoring categories. These boosts help you sail towards higher scores and more loot. Other items include extra points, lore, and fun facts to enrich your journey. diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md index c76cd398ce55..3b701bcc40e4 100644 --- a/worlds/yachtdice/docs/setup_en.md +++ b/worlds/yachtdice/docs/setup_en.md @@ -3,19 +3,13 @@ ## Required Software - A browser (you are probably using one right now!). -- Archipelago from the [Archipelago Releases Page](https://github.com/ArchipelagoMW/Archipelago/releases). ## Playing the game Open the Yacht Dice website. There are two options: -- Download the latest release from [Yacht Dice Release](https://github.com/spinerak/ArchipelagoYachtDice/releases/latest) and unzip the Website.zip. Then open player.html in your browser. +- Download the latest release from [Yacht Dice Release](https://github.com/spinerak/ArchipelagoYachtDice/releases/latest) and unzip the Website.zip. Then open index.html in your browser. - Cruise over to the [Yacht Dice website](https://yacht-dice-ap.netlify.app/). This also works on mobile. If the website is not available, use the first option. -Both options have an "offline" play option to try out the game without having to generate a game first. +Press Archipelago, and after logging in, you are good to go. The website has a built-in client, where you can chat and send commands. +Both options also have an "offline" play option to try out the game without having to generate a game first. -## Play with Archipelago - -- Create your yaml file via the [Yacht Dice Player Options Page](../player-options). -- After generating, open the Yacht Dice website. After the tutoroll, fill in the room information. -- After logging in, you are good to go. The website has a built-in client, where you can chat and send commands. - -For more information on yaml files, generating Archipelago games, and connecting to servers, please see the [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en). +For more information on generating Archipelago games and connecting to servers, please see the [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en). \ No newline at end of file From c2f7d674d392a3acbc1db8614411164ba3b28bff Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 20 Sep 2024 01:15:36 +0200 Subject: [PATCH 118/127] Remove Victory item and use event instead. --- worlds/yachtdice/Items.py | 2 -- worlds/yachtdice/__init__.py | 12 +++++++----- 2 files changed, 7 insertions(+), 7 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index fa52c93ad6f2..c76dc538146e 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -16,8 +16,6 @@ class YachtDiceItem(Item): item_table = { - # victory item, always placed manually at goal location - "Victory": ItemData(16871244000 - 1, ItemClassification.progression), "Dice": ItemData(16871244000, ItemClassification.progression), "Dice Fragment": ItemData(16871244001, ItemClassification.progression), "Roll": ItemData(16871244002, ItemClassification.progression), diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index d86ee3382d33..75993fd39443 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,7 +1,7 @@ import math from typing import Dict -from BaseClasses import CollectionState, Entrance, Item, Region, Tutorial +from BaseClasses import CollectionState, Entrance, Item, ItemClassification, Location, Region, Tutorial from worlds.AutoWorld import WebWorld, World @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.1.2" + ap_world_version = "2.1.3" def _get_yachtdice_data(self): return { @@ -456,10 +456,12 @@ def create_regions(self): if loc_data.region == board.name ] - # Add the victory item to the correct location. - # The website declares that the game is complete when the victory item is obtained. + # Change the victory location to an event and place the Victory item there. victory_location_name = f"{self.goal_score} score" - self.get_location(victory_location_name).place_locked_item(self.create_item("Victory")) + self.get_location(victory_location_name).address = None + self.get_location(victory_location_name).place_locked_item( + Item("Victory", ItemClassification.progression, None, self.player) + ) # add the regions connection = Entrance(self.player, "New Board", menu) From f983f7424b5863ac0d6baeea7f5895a2abda9fc6 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 20 Sep 2024 01:18:14 +0200 Subject: [PATCH 119/127] Revert "Remove Victory item and use event instead." This reverts commit c2f7d674d392a3acbc1db8614411164ba3b28bff. --- worlds/yachtdice/Items.py | 2 ++ worlds/yachtdice/__init__.py | 12 +++++------- 2 files changed, 7 insertions(+), 7 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index c76dc538146e..fa52c93ad6f2 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -16,6 +16,8 @@ class YachtDiceItem(Item): item_table = { + # victory item, always placed manually at goal location + "Victory": ItemData(16871244000 - 1, ItemClassification.progression), "Dice": ItemData(16871244000, ItemClassification.progression), "Dice Fragment": ItemData(16871244001, ItemClassification.progression), "Roll": ItemData(16871244002, ItemClassification.progression), diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 75993fd39443..d86ee3382d33 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,7 +1,7 @@ import math from typing import Dict -from BaseClasses import CollectionState, Entrance, Item, ItemClassification, Location, Region, Tutorial +from BaseClasses import CollectionState, Entrance, Item, Region, Tutorial from worlds.AutoWorld import WebWorld, World @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.1.3" + ap_world_version = "2.1.2" def _get_yachtdice_data(self): return { @@ -456,12 +456,10 @@ def create_regions(self): if loc_data.region == board.name ] - # Change the victory location to an event and place the Victory item there. + # Add the victory item to the correct location. + # The website declares that the game is complete when the victory item is obtained. victory_location_name = f"{self.goal_score} score" - self.get_location(victory_location_name).address = None - self.get_location(victory_location_name).place_locked_item( - Item("Victory", ItemClassification.progression, None, self.player) - ) + self.get_location(victory_location_name).place_locked_item(self.create_item("Victory")) # add the regions connection = Entrance(self.player, "New Board", menu) From 604f6ac3c4796d4bfd797e9f53be2183eef6496a Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 20 Sep 2024 01:27:34 +0200 Subject: [PATCH 120/127] Revert "Textual fixes and changes" This reverts commit e9432f92454979fcd5a31f8517586585362a7ab7. --- worlds/yachtdice/Options.py | 2 +- worlds/yachtdice/docs/en_Yacht Dice.md | 2 +- worlds/yachtdice/docs/setup_en.md | 14 ++++++++++---- 3 files changed, 12 insertions(+), 6 deletions(-) diff --git a/worlds/yachtdice/Options.py b/worlds/yachtdice/Options.py index f311caa5a993..e687936224c3 100644 --- a/worlds/yachtdice/Options.py +++ b/worlds/yachtdice/Options.py @@ -80,7 +80,7 @@ class NumberRollFragmentsPerRoll(Range): """ Rolls can be split into fragments, gathering enough will give you an extra roll. You start with one roll, and there will always be one full roll in the pool. - The other rolls are split into fragments, according to this option. + The other three rolls are split into fragments, according to this option. Setting this to 1 fragment per roll just puts "Roll" objects in the pool. """ diff --git a/worlds/yachtdice/docs/en_Yacht Dice.md b/worlds/yachtdice/docs/en_Yacht Dice.md index c671dcee50b8..53eefe9e9c4b 100644 --- a/worlds/yachtdice/docs/en_Yacht Dice.md +++ b/worlds/yachtdice/docs/en_Yacht Dice.md @@ -3,7 +3,7 @@ Welcome to Yacht Dice, the ultimate dice-rolling adventure in Archipelago! Cast your dice, chase high scores, and unlock valuable treasures. Discover new dice, extra rolls, multipliers, and special scoring categories to enhance your game. Roll your way to victory by reaching the target score! ## Understanding Location Checks -In Yacht Dice, location checks happen when you hit certain scores for the first time. The target score for your next location check is always displayed in the game. +In Yacht Dice, location checks happen when you hit certain scores for the first time. The target score for your next location check is always displayed on the website. ## Items and Their Effects When you receive an item, it could be extra dice, extra rolls, score multipliers, or new scoring categories. These boosts help you sail towards higher scores and more loot. Other items include extra points, lore, and fun facts to enrich your journey. diff --git a/worlds/yachtdice/docs/setup_en.md b/worlds/yachtdice/docs/setup_en.md index 3b701bcc40e4..c76cd398ce55 100644 --- a/worlds/yachtdice/docs/setup_en.md +++ b/worlds/yachtdice/docs/setup_en.md @@ -3,13 +3,19 @@ ## Required Software - A browser (you are probably using one right now!). +- Archipelago from the [Archipelago Releases Page](https://github.com/ArchipelagoMW/Archipelago/releases). ## Playing the game Open the Yacht Dice website. There are two options: -- Download the latest release from [Yacht Dice Release](https://github.com/spinerak/ArchipelagoYachtDice/releases/latest) and unzip the Website.zip. Then open index.html in your browser. +- Download the latest release from [Yacht Dice Release](https://github.com/spinerak/ArchipelagoYachtDice/releases/latest) and unzip the Website.zip. Then open player.html in your browser. - Cruise over to the [Yacht Dice website](https://yacht-dice-ap.netlify.app/). This also works on mobile. If the website is not available, use the first option. -Press Archipelago, and after logging in, you are good to go. The website has a built-in client, where you can chat and send commands. -Both options also have an "offline" play option to try out the game without having to generate a game first. +Both options have an "offline" play option to try out the game without having to generate a game first. -For more information on generating Archipelago games and connecting to servers, please see the [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en). \ No newline at end of file +## Play with Archipelago + +- Create your yaml file via the [Yacht Dice Player Options Page](../player-options). +- After generating, open the Yacht Dice website. After the tutoroll, fill in the room information. +- After logging in, you are good to go. The website has a built-in client, where you can chat and send commands. + +For more information on yaml files, generating Archipelago games, and connecting to servers, please see the [Basic Multiworld Setup Guide](/tutorial/Archipelago/setup/en). From 8421523355482c4fcfc84a6911c1485002dafe57 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 20 Sep 2024 02:35:42 +0200 Subject: [PATCH 121/127] Remove Victory item and make it an event instead --- worlds/yachtdice/Items.py | 2 -- worlds/yachtdice/__init__.py | 12 +++++++----- 2 files changed, 7 insertions(+), 7 deletions(-) diff --git a/worlds/yachtdice/Items.py b/worlds/yachtdice/Items.py index fa52c93ad6f2..c76dc538146e 100644 --- a/worlds/yachtdice/Items.py +++ b/worlds/yachtdice/Items.py @@ -16,8 +16,6 @@ class YachtDiceItem(Item): item_table = { - # victory item, always placed manually at goal location - "Victory": ItemData(16871244000 - 1, ItemClassification.progression), "Dice": ItemData(16871244000, ItemClassification.progression), "Dice Fragment": ItemData(16871244001, ItemClassification.progression), "Roll": ItemData(16871244002, ItemClassification.progression), diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index d86ee3382d33..75993fd39443 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -1,7 +1,7 @@ import math from typing import Dict -from BaseClasses import CollectionState, Entrance, Item, Region, Tutorial +from BaseClasses import CollectionState, Entrance, Item, ItemClassification, Location, Region, Tutorial from worlds.AutoWorld import WebWorld, World @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.1.2" + ap_world_version = "2.1.3" def _get_yachtdice_data(self): return { @@ -456,10 +456,12 @@ def create_regions(self): if loc_data.region == board.name ] - # Add the victory item to the correct location. - # The website declares that the game is complete when the victory item is obtained. + # Change the victory location to an event and place the Victory item there. victory_location_name = f"{self.goal_score} score" - self.get_location(victory_location_name).place_locked_item(self.create_item("Victory")) + self.get_location(victory_location_name).address = None + self.get_location(victory_location_name).place_locked_item( + Item("Victory", ItemClassification.progression, None, self.player) + ) # add the regions connection = Entrance(self.player, "New Board", menu) From 13b0e618f268a3f4025fc4d39c503216c97a8c61 Mon Sep 17 00:00:00 2001 From: spinerak Date: Wed, 9 Oct 2024 20:34:26 +0200 Subject: [PATCH 122/127] Yacht Dice logic fix, no decreasing score when obtain item take 2 --- worlds/yachtdice/Rules.py | 7 ++----- worlds/yachtdice/__init__.py | 4 ++-- 2 files changed, 4 insertions(+), 7 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index d99f5b147493..b21a4ee7f1a6 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -100,9 +100,6 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu if tup in yachtdice_cache[player]: return yachtdice_cache[player][tup] - # sort categories because for the step multiplier, you will want low-scoring categories first - categories.sort(key=lambda category: category.mean_score(num_dice, num_rolls)) - # function to add two discrete distribution. # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) def add_distributions(dist1, dist2): @@ -165,8 +162,8 @@ def percentile_distribution(dist, percentile): cat_mult = 2 ** (category.quantity - 1) # for higher difficulties, the simulation gets multiple tries for categories. - max_tries = j // diff_divide - mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0, j - max_tries), j + 1)] + max_tries = max(0, len(categories) // (2 * diff_divide) - 1) + mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max_tries + 1)] dist = max_dist(dist, mults) total_dist = add_distributions(total_dist, dist) diff --git a/worlds/yachtdice/__init__.py b/worlds/yachtdice/__init__.py index 75993fd39443..7efb8f94187c 100644 --- a/worlds/yachtdice/__init__.py +++ b/worlds/yachtdice/__init__.py @@ -56,7 +56,7 @@ class YachtDiceWorld(World): item_name_groups = item_groups - ap_world_version = "2.1.3" + ap_world_version = "2.1.4" def _get_yachtdice_data(self): return { @@ -468,7 +468,7 @@ def create_regions(self): menu.exits.append(connection) connection.connect(board) self.multiworld.regions += [menu, board] - + def get_filler_item_name(self) -> str: return "Good RNG" From f4c12e809b93537e3afdf763e6240092273ac220 Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 11 Oct 2024 21:17:20 +0200 Subject: [PATCH 123/127] Logic fix: Revert max_tries and mults, change ordering --- worlds/yachtdice/Rules.py | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index b21a4ee7f1a6..0e7c056443de 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -99,6 +99,10 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu if tup in yachtdice_cache[player]: return yachtdice_cache[player][tup] + + # sort categories because for the step multiplier, you will want low-scoring categories first + # to avoid errors with order changing when obtaining rolls, we order assuming 4 rolls + categories.sort(key=lambda category: category.mean_score(num_dice, 4)) # function to add two discrete distribution. # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) @@ -162,8 +166,8 @@ def percentile_distribution(dist, percentile): cat_mult = 2 ** (category.quantity - 1) # for higher difficulties, the simulation gets multiple tries for categories. - max_tries = max(0, len(categories) // (2 * diff_divide) - 1) - mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max_tries + 1)] + max_tries = j // diff_divide + mults = [(1 + fixed_mult + step_mult * ii) * cat_mult for ii in range(max(0, j - max_tries), j + 1)] dist = max_dist(dist, mults) total_dist = add_distributions(total_dist, dist) From fff115acf31b429b8d2e57cabe71c89cf86e6e5b Mon Sep 17 00:00:00 2001 From: spinerak Date: Fri, 11 Oct 2024 21:19:03 +0200 Subject: [PATCH 124/127] Remove spaces :^) --- worlds/yachtdice/Rules.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index 0e7c056443de..eae84429200e 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -99,7 +99,7 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu if tup in yachtdice_cache[player]: return yachtdice_cache[player][tup] - + # sort categories because for the step multiplier, you will want low-scoring categories first # to avoid errors with order changing when obtaining rolls, we order assuming 4 rolls categories.sort(key=lambda category: category.mean_score(num_dice, 4)) From ea8f827c420e3968aa1fff559aaddadb876cf96e Mon Sep 17 00:00:00 2001 From: spinerak Date: Sun, 13 Oct 2024 21:45:52 +0200 Subject: [PATCH 125/127] Updated weights that are stochastically ordered by dice/roll In the trimming of the weights, sometimes it having 4 rolls would be better than having 5 rolls. I did a check that this does not happen for any dice increment or roll increment --- worlds/yachtdice/YachtWeights.py | 2365 +----------------------------- 1 file changed, 1 insertion(+), 2364 deletions(-) diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 5f647f3420ba..3e0570f2c05c 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -1,2364 +1 @@ -# A file containing the results of our simulations. -# Every entry consists of a key. This key has input category, number of dice, and number of rolls. -# The value then shows a list of all possible scores to get, and how many times of 100000 it achieved. - -# example: ("Category Choice", 2, 2): -# {8: 13639, 9: 12220, 10: 13755, 5: 4889, 6: 9840, 7: 14772, 12: 7780, 11: 15622, 2: 1269, 3: 2445, 4: 3769} -# this example shows the outcomes for the category "Category Choice", with 2 dice and 2 rolls. -# 13639 out of 100000 times, a score of 8 was achieved for example. -yacht_weights = { - ("Category Ones", 0, 0): {0: 100000}, - ("Category Ones", 0, 1): {0: 100000}, - ("Category Ones", 0, 2): {0: 100000}, - ("Category Ones", 0, 3): {0: 100000}, - ("Category Ones", 0, 4): {0: 100000}, - ("Category Ones", 0, 5): {0: 100000}, - ("Category Ones", 0, 6): {0: 100000}, - ("Category Ones", 0, 7): {0: 100000}, - ("Category Ones", 0, 8): {0: 100000}, - ("Category Ones", 1, 0): {0: 100000}, - ("Category Ones", 1, 1): {0: 100000}, - ("Category Ones", 1, 2): {0: 100000}, - ("Category Ones", 1, 3): {0: 100000}, - ("Category Ones", 1, 4): {0: 100000}, - ("Category Ones", 1, 5): {0: 100000}, - ("Category Ones", 1, 6): {0: 33491, 1: 66509}, - ("Category Ones", 1, 7): {0: 27838, 1: 72162}, - ("Category Ones", 1, 8): {0: 23094, 1: 76906}, - ("Category Ones", 2, 0): {0: 100000}, - ("Category Ones", 2, 1): {0: 100000}, - ("Category Ones", 2, 2): {0: 100000}, - ("Category Ones", 2, 3): {0: 33544, 1: 66456}, - ("Category Ones", 2, 4): {0: 23342, 1: 76658}, - ("Category Ones", 2, 5): {0: 16036, 2: 83964}, - ("Category Ones", 2, 6): {0: 11355, 2: 88645}, - ("Category Ones", 2, 7): {0: 7812, 2: 92188}, - ("Category Ones", 2, 8): {0: 5395, 2: 94605}, - ("Category Ones", 3, 0): {0: 100000}, - ("Category Ones", 3, 1): {0: 100000}, - ("Category Ones", 3, 2): {0: 33327, 1: 66673}, - ("Category Ones", 3, 3): {0: 19432, 2: 80568}, - ("Category Ones", 3, 4): {0: 11191, 2: 88809}, - ("Category Ones", 3, 5): {0: 35427, 2: 64573}, - ("Category Ones", 3, 6): {0: 26198, 2: 73802}, - ("Category Ones", 3, 7): {0: 18851, 3: 81149}, - ("Category Ones", 3, 8): {0: 13847, 3: 86153}, - ("Category Ones", 4, 0): {0: 100000}, - ("Category Ones", 4, 1): {0: 100000}, - ("Category Ones", 4, 2): {0: 23349, 2: 76651}, - ("Category Ones", 4, 3): {0: 11366, 2: 88634}, - ("Category Ones", 4, 4): {0: 28572, 3: 71428}, - ("Category Ones", 4, 5): {0: 17976, 3: 82024}, - ("Category Ones", 4, 6): {0: 1253, 3: 98747}, - ("Category Ones", 4, 7): {0: 31228, 3: 68772}, - ("Category Ones", 4, 8): {0: 23273, 4: 76727}, - ("Category Ones", 5, 0): {0: 100000}, - ("Category Ones", 5, 1): {0: 100000}, - ("Category Ones", 5, 2): {0: 16212, 2: 83788}, - ("Category Ones", 5, 3): {0: 30104, 3: 69896}, - ("Category Ones", 5, 4): {0: 2552, 3: 97448}, - ("Category Ones", 5, 5): {0: 32028, 4: 67972}, - ("Category Ones", 5, 6): {0: 21215, 4: 78785}, - ("Category Ones", 5, 7): {0: 2295, 4: 97705}, - ("Category Ones", 5, 8): {0: 1167, 4: 98833}, - ("Category Ones", 6, 0): {0: 100000}, - ("Category Ones", 6, 1): {0: 33501, 1: 66499}, - ("Category Ones", 6, 2): {0: 40705, 2: 59295}, - ("Category Ones", 6, 3): {0: 3764, 3: 96236}, - ("Category Ones", 6, 4): {0: 9324, 4: 90676}, - ("Category Ones", 6, 5): {0: 4208, 4: 95792}, - ("Category Ones", 6, 6): {0: 158, 5: 99842}, - ("Category Ones", 6, 7): {0: 5503, 5: 94497}, - ("Category Ones", 6, 8): {0: 2896, 5: 97104}, - ("Category Ones", 7, 0): {0: 100000}, - ("Category Ones", 7, 1): {0: 27838, 2: 72162}, - ("Category Ones", 7, 2): {0: 7796, 3: 92204}, - ("Category Ones", 7, 3): {0: 13389, 4: 86611}, - ("Category Ones", 7, 4): {0: 5252, 4: 94748}, - ("Category Ones", 7, 5): {0: 9854, 5: 90146}, - ("Category Ones", 7, 6): {0: 4625, 5: 95375}, - ("Category Ones", 7, 7): {0: 30339, 6: 69661}, - ("Category Ones", 7, 8): {0: 5519, 6: 94481}, - ("Category Ones", 8, 0): {0: 100000}, - ("Category Ones", 8, 1): {0: 23156, 2: 76844}, - ("Category Ones", 8, 2): {0: 5472, 3: 94528}, - ("Category Ones", 8, 3): {0: 8661, 4: 91339}, - ("Category Ones", 8, 4): {0: 12125, 5: 87875}, - ("Category Ones", 8, 5): {0: 5173, 5: 94827}, - ("Category Ones", 8, 6): {0: 8872, 6: 91128}, - ("Category Ones", 8, 7): {0: 4236, 6: 95764}, - ("Category Ones", 8, 8): {0: 9107, 7: 90893}, - ("Category Twos", 0, 0): {0: 100000}, - ("Category Twos", 0, 1): {0: 100000}, - ("Category Twos", 0, 2): {0: 100000}, - ("Category Twos", 0, 3): {0: 100000}, - ("Category Twos", 0, 4): {0: 100000}, - ("Category Twos", 0, 5): {0: 100000}, - ("Category Twos", 0, 6): {0: 100000}, - ("Category Twos", 0, 7): {0: 100000}, - ("Category Twos", 0, 8): {0: 100000}, - ("Category Twos", 1, 0): {0: 100000}, - ("Category Twos", 1, 1): {0: 100000}, - ("Category Twos", 1, 2): {0: 100000}, - ("Category Twos", 1, 3): {0: 57818, 2: 42182}, - ("Category Twos", 1, 4): {0: 48418, 2: 51582}, - ("Category Twos", 1, 5): {0: 40301, 2: 59699}, - ("Category Twos", 1, 6): {0: 33558, 2: 66442}, - ("Category Twos", 1, 7): {0: 28182, 2: 71818}, - ("Category Twos", 1, 8): {0: 23406, 2: 76594}, - ("Category Twos", 2, 0): {0: 100000}, - ("Category Twos", 2, 1): {0: 100000}, - ("Category Twos", 2, 2): {0: 48238, 2: 51762}, - ("Category Twos", 2, 3): {0: 33290, 4: 66710}, - ("Category Twos", 2, 4): {0: 23136, 4: 76864}, - ("Category Twos", 2, 5): {0: 16146, 4: 83854}, - ("Category Twos", 2, 6): {0: 11083, 4: 88917}, - ("Category Twos", 2, 7): {0: 7662, 4: 92338}, - ("Category Twos", 2, 8): {0: 5354, 4: 94646}, - ("Category Twos", 3, 0): {0: 100000}, - ("Category Twos", 3, 1): {0: 58021, 2: 41979}, - ("Category Twos", 3, 2): {0: 33548, 4: 66452}, - ("Category Twos", 3, 3): {0: 19375, 4: 80625}, - ("Category Twos", 3, 4): {0: 10998, 4: 89002}, - ("Category Twos", 3, 5): {0: 6519, 6: 93481}, - ("Category Twos", 3, 6): {0: 3619, 6: 96381}, - ("Category Twos", 3, 7): {0: 2195, 6: 97805}, - ("Category Twos", 3, 8): {0: 13675, 6: 86325}, - ("Category Twos", 4, 0): {0: 100000}, - ("Category Twos", 4, 1): {0: 48235, 2: 51765}, - ("Category Twos", 4, 2): {0: 23289, 4: 76711}, - ("Category Twos", 4, 3): {0: 11177, 6: 88823}, - ("Category Twos", 4, 4): {0: 5499, 6: 94501}, - ("Category Twos", 4, 5): {0: 18356, 6: 81644}, - ("Category Twos", 4, 6): {0: 11169, 8: 88831}, - ("Category Twos", 4, 7): {0: 6945, 8: 93055}, - ("Category Twos", 4, 8): {0: 4091, 8: 95909}, - ("Category Twos", 5, 0): {0: 100000}, - ("Category Twos", 5, 1): {0: 40028, 4: 59972}, - ("Category Twos", 5, 2): {0: 16009, 6: 83991}, - ("Category Twos", 5, 3): {0: 6489, 6: 93511}, - ("Category Twos", 5, 4): {0: 16690, 8: 83310}, - ("Category Twos", 5, 5): {0: 9016, 8: 90984}, - ("Category Twos", 5, 6): {0: 4602, 8: 95398}, - ("Category Twos", 5, 7): {0: 13627, 10: 86373}, - ("Category Twos", 5, 8): {0: 8742, 10: 91258}, - ("Category Twos", 6, 0): {0: 100000}, - ("Category Twos", 6, 1): {0: 33502, 4: 66498}, - ("Category Twos", 6, 2): {0: 11210, 6: 88790}, - ("Category Twos", 6, 3): {0: 3673, 6: 96327}, - ("Category Twos", 6, 4): {0: 9291, 8: 90709}, - ("Category Twos", 6, 5): {0: 441, 8: 99559}, - ("Category Twos", 6, 6): {0: 10255, 10: 89745}, - ("Category Twos", 6, 7): {0: 5646, 10: 94354}, - ("Category Twos", 6, 8): {0: 14287, 12: 85713}, - ("Category Twos", 7, 0): {0: 100000}, - ("Category Twos", 7, 1): {0: 27683, 4: 72317}, - ("Category Twos", 7, 2): {0: 7824, 6: 92176}, - ("Category Twos", 7, 3): {0: 13167, 8: 86833}, - ("Category Twos", 7, 4): {0: 564, 10: 99436}, - ("Category Twos", 7, 5): {0: 9824, 10: 90176}, - ("Category Twos", 7, 6): {0: 702, 12: 99298}, - ("Category Twos", 7, 7): {0: 10186, 12: 89814}, - ("Category Twos", 7, 8): {0: 942, 12: 99058}, - ("Category Twos", 8, 0): {0: 100000}, - ("Category Twos", 8, 1): {0: 23378, 4: 76622}, - ("Category Twos", 8, 2): {0: 5420, 8: 94580}, - ("Category Twos", 8, 3): {0: 8560, 10: 91440}, - ("Category Twos", 8, 4): {0: 12199, 12: 87801}, - ("Category Twos", 8, 5): {0: 879, 12: 99121}, - ("Category Twos", 8, 6): {0: 9033, 14: 90967}, - ("Category Twos", 8, 7): {0: 15767, 14: 84233}, - ("Category Twos", 8, 8): {2: 9033, 14: 90967}, - ("Category Threes", 0, 0): {0: 100000}, - ("Category Threes", 0, 1): {0: 100000}, - ("Category Threes", 0, 2): {0: 100000}, - ("Category Threes", 0, 3): {0: 100000}, - ("Category Threes", 0, 4): {0: 100000}, - ("Category Threes", 0, 5): {0: 100000}, - ("Category Threes", 0, 6): {0: 100000}, - ("Category Threes", 0, 7): {0: 100000}, - ("Category Threes", 0, 8): {0: 100000}, - ("Category Threes", 1, 0): {0: 100000}, - ("Category Threes", 1, 1): {0: 100000}, - ("Category Threes", 1, 2): {0: 69569, 3: 30431}, - ("Category Threes", 1, 3): {0: 57872, 3: 42128}, - ("Category Threes", 1, 4): {0: 48081, 3: 51919}, - ("Category Threes", 1, 5): {0: 40271, 3: 59729}, - ("Category Threes", 1, 6): {0: 33201, 3: 66799}, - ("Category Threes", 1, 7): {0: 27903, 3: 72097}, - ("Category Threes", 1, 8): {0: 23240, 3: 76760}, - ("Category Threes", 2, 0): {0: 100000}, - ("Category Threes", 2, 1): {0: 69419, 3: 30581}, - ("Category Threes", 2, 2): {0: 48202, 3: 51798}, - ("Category Threes", 2, 3): {0: 33376, 6: 66624}, - ("Category Threes", 2, 4): {0: 23276, 6: 76724}, - ("Category Threes", 2, 5): {0: 16092, 6: 83908}, - ("Category Threes", 2, 6): {0: 11232, 6: 88768}, - ("Category Threes", 2, 7): {0: 7589, 6: 92411}, - ("Category Threes", 2, 8): {0: 5447, 6: 94553}, - ("Category Threes", 3, 0): {0: 100000}, - ("Category Threes", 3, 1): {0: 57964, 3: 42036}, - ("Category Threes", 3, 2): {0: 33637, 6: 66363}, - ("Category Threes", 3, 3): {0: 19520, 6: 80480}, - ("Category Threes", 3, 4): {0: 11265, 6: 88735}, - ("Category Threes", 3, 5): {0: 6419, 6: 72177, 9: 21404}, - ("Category Threes", 3, 6): {0: 3810, 6: 66884, 9: 29306}, - ("Category Threes", 3, 7): {0: 2174, 6: 60595, 9: 37231}, - ("Category Threes", 3, 8): {0: 1237, 6: 53693, 9: 45070}, - ("Category Threes", 4, 0): {0: 100000}, - ("Category Threes", 4, 1): {0: 48121, 6: 51879}, - ("Category Threes", 4, 2): {0: 23296, 6: 76704}, - ("Category Threes", 4, 3): {0: 11233, 6: 68363, 9: 20404}, - ("Category Threes", 4, 4): {0: 5463, 6: 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Three Distinct Dice', 2, 8): {0: 100000}, ('Category Three Distinct Dice', 3, 1): {0: 44707, 20: 55293}, ('Category Three Distinct Dice', 3, 2): {0: 15078, 20: 84922}, ('Category Three Distinct Dice', 3, 3): {0: 5056, 20: 94944}, ('Category Three Distinct Dice', 3, 4): {0: 1688, 20: 98312}, ('Category Three Distinct Dice', 3, 5): {0: 516, 20: 99484}, ('Category Three Distinct Dice', 3, 6): {0: 182, 20: 99818}, ('Category Three Distinct Dice', 3, 7): {0: 56, 20: 99944}, ('Category Three Distinct Dice', 3, 8): {0: 15, 20: 99985}, ('Category Three Distinct Dice', 4, 1): {0: 16721, 20: 83279}, ('Category Three Distinct Dice', 4, 2): {0: 1826, 20: 98174}, ('Category Three Distinct Dice', 4, 3): {0: 203, 20: 99797}, ('Category Three Distinct Dice', 4, 4): {0: 18, 20: 99982}, ('Category Three Distinct Dice', 4, 5): {0: 3, 20: 99997}, ('Category Three Distinct Dice', 4, 6): {20: 100000}, ('Category Three Distinct Dice', 4, 7): {20: 100000}, ('Category Three Distinct Dice', 4, 8): {20: 100000}, ('Category Three Distinct Dice', 5, 1): {0: 5904, 20: 94096}, ('Category Three Distinct Dice', 5, 2): {0: 236, 20: 99764}, ('Category Three Distinct Dice', 5, 3): {0: 12, 20: 99988}, ('Category Three Distinct Dice', 5, 4): {20: 100000}, ('Category Three Distinct Dice', 5, 5): {20: 100000}, ('Category Three Distinct Dice', 5, 6): {20: 100000}, ('Category Three Distinct Dice', 5, 7): {20: 100000}, ('Category Three Distinct Dice', 5, 8): {20: 100000}, ('Category Three Distinct Dice', 6, 1): {0: 1992, 20: 98008}, ('Category Three Distinct Dice', 6, 2): {0: 21, 20: 99979}, ('Category Three Distinct Dice', 6, 3): {20: 100000}, ('Category Three Distinct Dice', 6, 4): {20: 100000}, ('Category Three Distinct Dice', 6, 5): {20: 100000}, ('Category Three Distinct Dice', 6, 6): {20: 100000}, ('Category Three Distinct Dice', 6, 7): {20: 100000}, ('Category Three Distinct Dice', 6, 8): {20: 100000}, ('Category Three Distinct Dice', 7, 1): {0: 692, 20: 99308}, ('Category Three Distinct Dice', 7, 2): {0: 4, 20: 99996}, ('Category Three Distinct Dice', 7, 3): {20: 100000}, ('Category Three Distinct Dice', 7, 4): {20: 100000}, ('Category Three Distinct Dice', 7, 5): {20: 100000}, ('Category Three Distinct Dice', 7, 6): {20: 100000}, ('Category Three Distinct Dice', 7, 7): {20: 100000}, ('Category Three Distinct Dice', 7, 8): {20: 100000}, ('Category Three Distinct Dice', 8, 1): {0: 243, 20: 99757}, ('Category Three Distinct Dice', 8, 2): {0: 1, 20: 99999}, ('Category Three Distinct Dice', 8, 3): {20: 100000}, ('Category Three Distinct Dice', 8, 4): {20: 100000}, ('Category Three Distinct Dice', 8, 5): {20: 100000}, ('Category Three Distinct Dice', 8, 6): {20: 100000}, ('Category Three Distinct Dice', 8, 7): {20: 100000}, ('Category Three Distinct Dice', 8, 8): {20: 100000}, ('Category Two Pair', 1, 1): {0: 100000}, ('Category Two Pair', 1, 2): {0: 100000}, ('Category Two Pair', 1, 3): {0: 100000}, ('Category Two Pair', 1, 4): {0: 100000}, ('Category Two Pair', 1, 5): {0: 100000}, ('Category Two Pair', 1, 6): {0: 100000}, ('Category Two Pair', 1, 7): {0: 100000}, ('Category Two Pair', 1, 8): {0: 100000}, ('Category Two Pair', 2, 1): {0: 100000}, ('Category Two Pair', 2, 2): {0: 100000}, ('Category Two Pair', 2, 3): {0: 100000}, ('Category Two Pair', 2, 4): {0: 100000}, ('Category Two Pair', 2, 5): {0: 100000}, ('Category Two Pair', 2, 6): {0: 100000}, ('Category Two Pair', 2, 7): {0: 100000}, ('Category Two Pair', 2, 8): {0: 100000}, ('Category Two Pair', 3, 1): {0: 100000}, ('Category Two Pair', 3, 2): {0: 100000}, ('Category Two Pair', 3, 3): {0: 100000}, ('Category Two Pair', 3, 4): {0: 100000}, ('Category Two Pair', 3, 5): {0: 100000}, ('Category Two Pair', 3, 6): {0: 100000}, ('Category Two Pair', 3, 7): {0: 100000}, ('Category Two Pair', 3, 8): {0: 100000}, ('Category Two Pair', 4, 1): {0: 93065, 30: 6935}, ('Category Two Pair', 4, 2): {0: 82102, 30: 17898}, ('Category Two Pair', 4, 3): {0: 71209, 30: 28791}, ('Category Two Pair', 4, 4): {0: 61609, 30: 38391}, ('Category Two Pair', 4, 5): {0: 53036, 30: 46964}, ('Category Two Pair', 4, 6): {0: 45705, 30: 54295}, ('Category Two Pair', 4, 7): {0: 39398, 30: 60602}, ('Category Two Pair', 4, 8): {0: 33673, 30: 66327}, ('Category Two Pair', 5, 1): {0: 72847, 30: 27153}, ('Category Two Pair', 5, 2): {0: 46759, 30: 53241}, ('Category Two Pair', 5, 3): {0: 29462, 30: 70538}, ('Category Two Pair', 5, 4): {0: 18351, 30: 81649}, ('Category Two Pair', 5, 5): {0: 11793, 30: 88207}, ('Category Two Pair', 5, 6): {0: 7385, 30: 92615}, ('Category Two Pair', 5, 7): {0: 4610, 30: 95390}, ('Category Two Pair', 5, 8): {0: 2938, 30: 97062}, ('Category Two Pair', 6, 1): {0: 44431, 30: 55569}, ('Category Two Pair', 6, 2): {0: 17183, 30: 82817}, ('Category Two Pair', 6, 3): {0: 6759, 30: 93241}, ('Category Two Pair', 6, 4): {0: 2562, 30: 97438}, ('Category Two Pair', 6, 5): {0: 948, 30: 99052}, ('Category Two Pair', 6, 6): {0: 375, 30: 99625}, ('Category Two Pair', 6, 7): {0: 138, 30: 99862}, ('Category Two Pair', 6, 8): {0: 57, 30: 99943}, ('Category Two Pair', 7, 1): {0: 19888, 30: 80112}, ('Category Two Pair', 7, 2): {0: 3935, 30: 96065}, ('Category Two Pair', 7, 3): {0: 801, 30: 99199}, ('Category Two Pair', 7, 4): {0: 175, 30: 99825}, ('Category Two Pair', 7, 5): {0: 31, 30: 99969}, ('Category Two Pair', 7, 6): {0: 7, 30: 99993}, ('Category Two Pair', 7, 7): {0: 2, 30: 99998}, ('Category Two Pair', 7, 8): {30: 100000}, ('Category Two Pair', 8, 1): {0: 6791, 30: 93209}, ('Category Two Pair', 8, 2): {0: 588, 30: 99412}, ('Category Two Pair', 8, 3): {0: 61, 30: 99939}, ('Category Two Pair', 8, 4): {0: 6, 30: 99994}, ('Category Two Pair', 8, 5): {30: 100000}, ('Category Two Pair', 8, 6): {30: 100000}, ('Category Two Pair', 8, 7): {30: 100000}, ('Category Two Pair', 8, 8): {30: 100000}, ('Category 2-1-2 Consecutive', 1, 1): {0: 100000}, ('Category 2-1-2 Consecutive', 1, 2): {0: 100000}, ('Category 2-1-2 Consecutive', 1, 3): {0: 100000}, ('Category 2-1-2 Consecutive', 1, 4): {0: 100000}, ('Category 2-1-2 Consecutive', 1, 5): {0: 100000}, ('Category 2-1-2 Consecutive', 1, 6): {0: 100000}, ('Category 2-1-2 Consecutive', 1, 7): {0: 100000}, ('Category 2-1-2 Consecutive', 1, 8): {0: 100000}, ('Category 2-1-2 Consecutive', 2, 1): {0: 100000}, ('Category 2-1-2 Consecutive', 2, 2): {0: 100000}, ('Category 2-1-2 Consecutive', 2, 3): {0: 100000}, ('Category 2-1-2 Consecutive', 2, 4): {0: 100000}, ('Category 2-1-2 Consecutive', 2, 5): {0: 100000}, ('Category 2-1-2 Consecutive', 2, 6): {0: 100000}, ('Category 2-1-2 Consecutive', 2, 7): {0: 100000}, ('Category 2-1-2 Consecutive', 2, 8): {0: 100000}, ('Category 2-1-2 Consecutive', 3, 1): {0: 100000}, ('Category 2-1-2 Consecutive', 3, 2): {0: 100000}, ('Category 2-1-2 Consecutive', 3, 3): {0: 100000}, ('Category 2-1-2 Consecutive', 3, 4): {0: 100000}, ('Category 2-1-2 Consecutive', 3, 5): {0: 100000}, ('Category 2-1-2 Consecutive', 3, 6): {0: 100000}, ('Category 2-1-2 Consecutive', 3, 7): {0: 100000}, ('Category 2-1-2 Consecutive', 3, 8): {0: 100000}, ('Category 2-1-2 Consecutive', 4, 1): {0: 100000}, ('Category 2-1-2 Consecutive', 4, 2): {0: 100000}, ('Category 2-1-2 Consecutive', 4, 3): {0: 100000}, ('Category 2-1-2 Consecutive', 4, 4): {0: 100000}, ('Category 2-1-2 Consecutive', 4, 5): {0: 100000}, ('Category 2-1-2 Consecutive', 4, 6): {0: 100000}, ('Category 2-1-2 Consecutive', 4, 7): {0: 100000}, ('Category 2-1-2 Consecutive', 4, 8): {0: 100000}, ('Category 2-1-2 Consecutive', 5, 1): {0: 98403, 40: 1597}, ('Category 2-1-2 Consecutive', 5, 2): {0: 90651, 40: 9349}, ('Category 2-1-2 Consecutive', 5, 3): {0: 80100, 40: 19900}, ('Category 2-1-2 Consecutive', 5, 4): {0: 69131, 40: 30869}, ('Category 2-1-2 Consecutive', 5, 5): {0: 58252, 40: 41748}, ('Category 2-1-2 Consecutive', 5, 6): {0: 49405, 40: 50595}, ('Category 2-1-2 Consecutive', 5, 7): {0: 41585, 40: 58415}, ('Category 2-1-2 Consecutive', 5, 8): {0: 34952, 40: 65048}, ('Category 2-1-2 Consecutive', 6, 1): {0: 93465, 40: 6535}, ('Category 2-1-2 Consecutive', 6, 2): {0: 73416, 40: 26584}, ('Category 2-1-2 Consecutive', 6, 3): {0: 54041, 40: 45959}, ('Category 2-1-2 Consecutive', 6, 4): {0: 38535, 40: 61465}, ('Category 2-1-2 Consecutive', 6, 5): {0: 27366, 40: 72634}, ('Category 2-1-2 Consecutive', 6, 6): {0: 18924, 40: 81076}, ('Category 2-1-2 Consecutive', 6, 7): {0: 13387, 40: 86613}, ('Category 2-1-2 Consecutive', 6, 8): {0: 9134, 40: 90866}, ('Category 2-1-2 Consecutive', 7, 1): {0: 84168, 40: 15832}, ('Category 2-1-2 Consecutive', 7, 2): {0: 52659, 40: 47341}, ('Category 2-1-2 Consecutive', 7, 3): {0: 30435, 40: 69565}, ('Category 2-1-2 Consecutive', 7, 4): {0: 17477, 40: 82523}, ('Category 2-1-2 Consecutive', 7, 5): {0: 9782, 40: 90218}, ('Category 2-1-2 Consecutive', 7, 6): {0: 5316, 40: 94684}, ('Category 2-1-2 Consecutive', 7, 7): {0: 2995, 40: 97005}, ('Category 2-1-2 Consecutive', 7, 8): {0: 1689, 40: 98311}, ('Category 2-1-2 Consecutive', 8, 1): {0: 71089, 40: 28911}, ('Category 2-1-2 Consecutive', 8, 2): {0: 33784, 40: 66216}, ('Category 2-1-2 Consecutive', 8, 3): {0: 14820, 40: 85180}, ('Category 2-1-2 Consecutive', 8, 4): {0: 6265, 40: 93735}, ('Category 2-1-2 Consecutive', 8, 5): {0: 2600, 40: 97400}, ('Category 2-1-2 Consecutive', 8, 6): {0: 1155, 40: 98845}, ('Category 2-1-2 Consecutive', 8, 7): {0: 487, 40: 99513}, ('Category 2-1-2 Consecutive', 8, 8): {0: 190, 40: 99810}, ('Category Five Distinct Dice', 1, 1): {0: 100000}, ('Category Five Distinct Dice', 1, 2): {0: 100000}, ('Category Five Distinct Dice', 1, 3): {0: 100000}, ('Category Five Distinct Dice', 1, 4): {0: 100000}, ('Category Five Distinct Dice', 1, 5): {0: 100000}, ('Category Five Distinct Dice', 1, 6): {0: 100000}, ('Category Five Distinct Dice', 1, 7): {0: 100000}, ('Category Five Distinct Dice', 1, 8): {0: 100000}, ('Category Five Distinct Dice', 2, 1): {0: 100000}, ('Category Five Distinct Dice', 2, 2): {0: 100000}, ('Category Five Distinct Dice', 2, 3): {0: 100000}, ('Category Five Distinct Dice', 2, 4): {0: 100000}, ('Category Five Distinct Dice', 2, 5): {0: 100000}, ('Category Five Distinct Dice', 2, 6): {0: 100000}, ('Category Five Distinct Dice', 2, 7): {0: 100000}, ('Category Five Distinct Dice', 2, 8): {0: 100000}, ('Category Five Distinct Dice', 3, 1): {0: 100000}, ('Category Five Distinct Dice', 3, 2): {0: 100000}, ('Category Five Distinct Dice', 3, 3): {0: 100000}, ('Category Five Distinct Dice', 3, 4): {0: 100000}, ('Category Five Distinct Dice', 3, 5): {0: 100000}, ('Category Five Distinct Dice', 3, 6): {0: 100000}, ('Category Five Distinct Dice', 3, 7): {0: 100000}, ('Category Five Distinct Dice', 3, 8): {0: 100000}, ('Category Five Distinct Dice', 4, 1): {0: 100000}, ('Category Five Distinct Dice', 4, 2): {0: 100000}, ('Category Five Distinct Dice', 4, 3): {0: 100000}, ('Category Five Distinct Dice', 4, 4): {0: 100000}, ('Category Five Distinct Dice', 4, 5): {0: 100000}, ('Category Five Distinct Dice', 4, 6): {0: 100000}, ('Category Five Distinct Dice', 4, 7): {0: 100000}, ('Category Five Distinct Dice', 4, 8): {0: 100000}, ('Category Five Distinct Dice', 5, 1): {0: 90907, 25: 9093}, ('Category Five Distinct Dice', 5, 2): {0: 68020, 25: 31980}, ('Category Five Distinct Dice', 5, 3): {0: 47692, 25: 52308}, ('Category Five Distinct Dice', 5, 4): {0: 32383, 25: 67617}, ('Category Five Distinct Dice', 5, 5): {0: 21631, 25: 78369}, ('Category Five Distinct Dice', 5, 6): {0: 14366, 25: 85634}, ('Category Five Distinct Dice', 5, 7): {0: 9568, 25: 90432}, ('Category Five Distinct Dice', 5, 8): {0: 6360, 25: 93640}, ('Category Five Distinct Dice', 6, 1): {0: 75051, 25: 24949}, ('Category Five Distinct Dice', 6, 2): {0: 38409, 25: 61591}, ('Category Five Distinct Dice', 6, 3): {0: 17505, 25: 82495}, ('Category Five Distinct Dice', 6, 4): {0: 7862, 25: 92138}, ('Category Five Distinct Dice', 6, 5): {0: 3538, 25: 96462}, ('Category Five Distinct Dice', 6, 6): {0: 1645, 25: 98355}, ('Category Five Distinct Dice', 6, 7): {0: 714, 25: 99286}, ('Category Five Distinct Dice', 6, 8): {0: 341, 25: 99659}, ('Category Five Distinct Dice', 7, 1): {0: 58588, 25: 41412}, ('Category Five Distinct Dice', 7, 2): {0: 19487, 25: 80513}, ('Category Five Distinct Dice', 7, 3): {0: 6043, 25: 93957}, ('Category Five Distinct Dice', 7, 4): {0: 1799, 25: 98201}, ('Category Five Distinct Dice', 7, 5): {0: 544, 25: 99456}, ('Category Five Distinct Dice', 7, 6): {0: 169, 25: 99831}, ('Category Five Distinct Dice', 7, 7): {0: 59, 25: 99941}, ('Category Five Distinct Dice', 7, 8): {0: 11, 25: 99989}, ('Category Five Distinct Dice', 8, 1): {0: 43586, 25: 56414}, ('Category Five Distinct Dice', 8, 2): {0: 9615, 25: 90385}, ('Category Five Distinct Dice', 8, 3): {0: 1944, 25: 98056}, ('Category Five Distinct Dice', 8, 4): {0: 383, 25: 99617}, ('Category Five Distinct Dice', 8, 5): {0: 77, 25: 99923}, ('Category Five Distinct Dice', 8, 6): {0: 18, 25: 99982}, ('Category Five Distinct Dice', 8, 7): {0: 3, 25: 99997}, ('Category Five Distinct Dice', 8, 8): {0: 2, 25: 99998}, ('Category 4&5 Full House', 1, 1): {0: 100000}, ('Category 4&5 Full House', 1, 2): {0: 100000}, ('Category 4&5 Full House', 1, 3): {0: 100000}, ('Category 4&5 Full House', 1, 4): {0: 100000}, ('Category 4&5 Full House', 1, 5): {0: 100000}, ('Category 4&5 Full House', 1, 6): {0: 100000}, ('Category 4&5 Full House', 1, 7): {0: 100000}, ('Category 4&5 Full House', 1, 8): {0: 100000}, ('Category 4&5 Full House', 2, 1): {0: 100000}, ('Category 4&5 Full House', 2, 2): {0: 100000}, ('Category 4&5 Full House', 2, 3): {0: 100000}, ('Category 4&5 Full House', 2, 4): {0: 100000}, ('Category 4&5 Full House', 2, 5): {0: 100000}, ('Category 4&5 Full House', 2, 6): {0: 100000}, ('Category 4&5 Full House', 2, 7): {0: 100000}, ('Category 4&5 Full House', 2, 8): {0: 100000}, ('Category 4&5 Full House', 3, 1): {0: 100000}, ('Category 4&5 Full House', 3, 2): {0: 100000}, ('Category 4&5 Full House', 3, 3): {0: 100000}, ('Category 4&5 Full House', 3, 4): {0: 100000}, ('Category 4&5 Full House', 3, 5): {0: 100000}, ('Category 4&5 Full House', 3, 6): {0: 100000}, ('Category 4&5 Full House', 3, 7): {0: 100000}, ('Category 4&5 Full House', 3, 8): {0: 100000}, ('Category 4&5 Full House', 4, 1): {0: 100000}, ('Category 4&5 Full House', 4, 2): {0: 100000}, ('Category 4&5 Full House', 4, 3): {0: 100000}, ('Category 4&5 Full House', 4, 4): {0: 100000}, ('Category 4&5 Full House', 4, 5): {0: 100000}, ('Category 4&5 Full House', 4, 6): {0: 100000}, ('Category 4&5 Full House', 4, 7): {0: 100000}, ('Category 4&5 Full House', 4, 8): {0: 100000}, ('Category 4&5 Full House', 5, 1): {0: 100000}, ('Category 4&5 Full House', 5, 2): {0: 96607, 50: 3393}, ('Category 4&5 Full House', 5, 3): {0: 88788, 50: 11212}, ('Category 4&5 Full House', 5, 4): {0: 77799, 50: 22201}, ('Category 4&5 Full House', 5, 5): {0: 65797, 50: 34203}, ('Category 4&5 Full House', 5, 6): {0: 54548, 50: 45452}, ('Category 4&5 Full House', 5, 7): {0: 44898, 50: 55102}, ('Category 4&5 Full House', 5, 8): {0: 36881, 50: 63119}, ('Category 4&5 Full House', 6, 1): {0: 100000}, ('Category 4&5 Full House', 6, 2): {0: 88680, 50: 11320}, ('Category 4&5 Full House', 6, 3): {0: 70215, 50: 29785}, ('Category 4&5 Full House', 6, 4): {0: 50801, 50: 49199}, ('Category 4&5 Full House', 6, 5): {0: 35756, 50: 64244}, ('Category 4&5 Full House', 6, 6): {0: 24698, 50: 75302}, ('Category 4&5 Full House', 6, 7): {0: 17145, 50: 82855}, ('Category 4&5 Full House', 6, 8): {0: 11846, 50: 88154}, ('Category 4&5 Full House', 7, 1): {0: 97090, 50: 2910}, ('Category 4&5 Full House', 7, 2): {0: 77440, 50: 22560}, ('Category 4&5 Full House', 7, 3): {0: 51372, 50: 48628}, ('Category 4&5 Full House', 7, 4): {0: 30566, 50: 69434}, ('Category 4&5 Full House', 7, 5): {0: 17866, 50: 82134}, ('Category 4&5 Full House', 7, 6): {0: 10521, 50: 89479}, ('Category 4&5 Full House', 7, 7): {0: 6204, 50: 93796}, ('Category 4&5 Full House', 7, 8): {0: 3670, 50: 96330}, ('Category 4&5 Full House', 8, 1): {0: 94172, 50: 5828}, ('Category 4&5 Full House', 8, 2): {0: 64693, 50: 35307}, ('Category 4&5 Full House', 8, 3): {0: 35293, 50: 64707}, ('Category 4&5 Full House', 8, 4): {0: 17749, 50: 82251}, ('Category 4&5 Full House', 8, 5): {0: 8740, 50: 91260}, ('Category 4&5 Full House', 8, 6): {0: 4550, 50: 95450}, ('Category 4&5 Full House', 8, 7): {0: 2218, 50: 97782}, ('Category 4&5 Full House', 8, 8): {0: 1084, 50: 98916}} \ No newline at end of file From a3351f22c31aac31adb2bbed6307f962447686da Mon Sep 17 00:00:00 2001 From: spinerak Date: Mon, 14 Oct 2024 21:20:34 +0200 Subject: [PATCH 126/127] Swap for-loops to increase performance This method is faster if the first for-loop contains fewer items. Since the function is called with, typically, `dist2` having less items, let's loop over `dist2` first. This makes the entire program 10% faster. --- worlds/yachtdice/Rules.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/worlds/yachtdice/Rules.py b/worlds/yachtdice/Rules.py index eae84429200e..3fb712fdca09 100644 --- a/worlds/yachtdice/Rules.py +++ b/worlds/yachtdice/Rules.py @@ -108,8 +108,8 @@ def dice_simulation_strings(categories, num_dice, num_rolls, fixed_mult, step_mu # defaultdict is a dict where you don't need to check if an id is present, you can just use += (lot faster) def add_distributions(dist1, dist2): combined_dist = defaultdict(float) - for val1, prob1 in dist1.items(): - for val2, prob2 in dist2.items(): + for val2, prob2 in dist2.items(): + for val1, prob1 in dist1.items(): combined_dist[val1 + val2] += prob1 * prob2 return dict(combined_dist) From 4872284b07feb29a677c702cc68fe90031054974 Mon Sep 17 00:00:00 2001 From: spinerak Date: Sun, 20 Oct 2024 18:07:42 +0200 Subject: [PATCH 127/127] Remove options with 0 chance from list --- worlds/yachtdice/YachtWeights.py | 2357 +++++++++++++++++++++++++++++- 1 file changed, 2356 insertions(+), 1 deletion(-) diff --git a/worlds/yachtdice/YachtWeights.py b/worlds/yachtdice/YachtWeights.py index 3e0570f2c05c..f18766d9498a 100644 --- a/worlds/yachtdice/YachtWeights.py +++ b/worlds/yachtdice/YachtWeights.py @@ -1 +1,2356 @@ -yacht_weights = {('Category Ones', 0, 0): {0: 100000}, ('Category Ones', 0, 1): {0: 100000}, ('Category Ones', 0, 2): {0: 100000}, ('Category Ones', 0, 3): {0: 100000}, ('Category Ones', 0, 4): {0: 100000}, ('Category Ones', 0, 5): {0: 100000}, ('Category Ones', 0, 6): {0: 100000}, ('Category Ones', 0, 7): {0: 100000}, ('Category Ones', 0, 8): {0: 100000}, ('Category Ones', 1, 0): {0: 100000}, ('Category Ones', 1, 1): {0: 100000}, ('Category Ones', 1, 2): {0: 100000}, ('Category Ones', 1, 3): {0: 100000}, ('Category Ones', 1, 4): {0: 100000}, ('Category Ones', 1, 5): {0: 100000}, ('Category Ones', 1, 6): {0: 33491, 1: 66509}, ('Category Ones', 1, 7): {0: 27838, 1: 72162}, ('Category Ones', 1, 8): {0: 23094, 1: 76906}, ('Category Ones', 2, 0): {0: 100000}, ('Category Ones', 2, 1): {0: 100000}, ('Category Ones', 2, 2): {0: 100000}, ('Category Ones', 2, 3): {0: 33544, 1: 66456}, ('Category Ones', 2, 4): {0: 23342, 1: 76658}, ('Category Ones', 2, 5): {0: 16036, 1: 83964}, ('Category Ones', 2, 6): {0: 11355, 1: 88645}, ('Category Ones', 2, 7): {0: 7812, 1: 92188}, ('Category Ones', 2, 8): {0: 5395, 1: 94605}, ('Category Ones', 3, 0): {0: 100000}, ('Category Ones', 3, 1): {0: 100000}, ('Category Ones', 3, 2): {0: 33327, 1: 66673}, ('Category Ones', 3, 3): {0: 19432, 1: 80568}, ('Category Ones', 3, 4): {0: 11191, 1: 88809}, ('Category Ones', 3, 5): {0: 3963, 2: 64583, 1: 31454}, ('Category Ones', 3, 6): {0: 3286, 2: 96714}, ('Category Ones', 3, 7): {0: 57, 2: 99943}, ('Category Ones', 3, 8): {0: 0, 2: 100000}, ('Category Ones', 4, 0): {0: 100000}, ('Category Ones', 4, 1): {0: 100000}, ('Category Ones', 4, 2): {0: 23349, 1: 76651}, ('Category Ones', 4, 3): {0: 11366, 1: 88634}, ('Category Ones', 4, 4): {0: 3246, 2: 71438, 1: 25316}, ('Category Ones', 4, 5): {0: 1466, 2: 98534}, ('Category Ones', 4, 6): {0: 7, 2: 99993}, ('Category Ones', 4, 7): {0: 2, 2: 31222, 3: 68776}, ('Category Ones', 4, 8): {0: 0, 3: 99999, 2: 1}, ('Category Ones', 5, 0): {0: 100000}, ('Category Ones', 5, 1): {0: 100000}, ('Category Ones', 5, 2): {0: 16212, 1: 83788}, ('Category Ones', 5, 3): {0: 4879, 2: 69906, 1: 25215}, ('Category Ones', 5, 4): {0: 1513, 2: 98487}, ('Category Ones', 5, 5): {0: 484, 2: 31541, 3: 67975}, ('Category Ones', 5, 6): {0: 0, 3: 99785, 2: 215}, ('Category Ones', 5, 7): {0: 0, 3: 100000}, ('Category Ones', 5, 8): {0: 0, 2: 0, 4: 66815, 3: 33185}, ('Category Ones', 6, 0): {0: 100000}, ('Category Ones', 6, 1): {0: 33501, 1: 66499}, ('Category Ones', 6, 2): {0: 11326, 1: 88674}, ('Category Ones', 6, 3): {0: 2289, 2: 79783, 1: 17928}, ('Category Ones', 6, 4): {0: 10, 3: 68933, 2: 30973, 1: 84}, ('Category Ones', 6, 5): {0: 4, 3: 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4: 10227}, ('Category Ones', 8, 8): {0: 0, 6: 99999, 2: 0, 3: 0, 5: 1, 4: 0}, ('Category Twos', 0, 0): {0: 100000}, ('Category Twos', 0, 1): {0: 100000}, ('Category Twos', 0, 2): {0: 100000}, ('Category Twos', 0, 3): {0: 100000}, ('Category Twos', 0, 4): {0: 100000}, ('Category Twos', 0, 5): {0: 100000}, ('Category Twos', 0, 6): {0: 100000}, ('Category Twos', 0, 7): {0: 100000}, ('Category Twos', 0, 8): {0: 100000}, ('Category Twos', 1, 0): {0: 100000}, ('Category Twos', 1, 1): {0: 100000}, ('Category Twos', 1, 2): {0: 69690, 2: 30310}, ('Category Twos', 1, 3): {0: 57818, 2: 42182}, ('Category Twos', 1, 4): {0: 48418, 2: 51582}, ('Category Twos', 1, 5): {0: 40301, 2: 59699}, ('Category Twos', 1, 6): {0: 33558, 2: 66442}, ('Category Twos', 1, 7): {0: 28182, 2: 71818}, ('Category Twos', 1, 8): {0: 23406, 2: 76594}, ('Category Twos', 2, 0): {0: 100000}, ('Category Twos', 2, 1): {0: 69724, 2: 30276}, ('Category Twos', 2, 2): {0: 48238, 2: 51762}, ('Category Twos', 2, 3): {0: 33290, 2: 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30: 66771}, ('Category Inverse Choice', 6, 7): {13: 0, 28: 33078, 31: 66922}, ('Category Inverse Choice', 6, 8): {13: 0, 28: 12143, 31: 24567, 32: 63290}, ('Category Inverse Choice', 7, 0): {0: 100000}, ('Category Inverse Choice', 7, 1): {7: 1558, 20: 31716, 23: 66726}, ('Category Inverse Choice', 7, 2): {10: 0, 23: 34663, 28: 65337}, ('Category Inverse Choice', 7, 3): {10: 0, 28: 32932, 30: 67062, 23: 6}, ('Category Inverse Choice', 7, 4): {13: 0, 28: 11163, 32: 66108, 30: 22729, 23: 0}, ('Category Inverse Choice', 7, 5): {13: 0, 30: 12528, 34: 63034, 28: 0, 32: 24438, 23: 0}, ('Category Inverse Choice', 7, 6): {14: 0, 30: 4270, 35: 65916, 34: 21485, 28: 0, 32: 8329, 23: 0}, ('Category Inverse Choice', 7, 7): {16: 0, 32: 4014, 36: 68134, 30: 0, 35: 21006, 34: 6846, 28: 0, 23: 0}, ('Category Inverse Choice', 7, 8): {16: 0, 34: 3434, 37: 68373, 32: 0, 36: 21550, 30: 0, 35: 6643, 28: 0, 23: 0}, ('Category Inverse Choice', 8, 0): {0: 100000}, ('Category Inverse Choice', 8, 1): {10: 1400, 23: 36664, 27: 61936}, ('Category Inverse Choice', 8, 2): {11: 0, 27: 34595, 32: 65405}, ('Category Inverse Choice', 8, 3): {12: 0, 30: 13097, 35: 62142, 27: 0, 32: 24761}, ('Category Inverse Choice', 8, 4): {16: 0, 35: 36672, 37: 63328, 30: 0, 27: 0, 32: 0}, ('Category Inverse Choice', 8, 5): {16: 0, 34: 0, 39: 61292, 35: 14195, 37: 24513, 30: 0, 27: 0, 32: 0}, ('Category Inverse Choice', 8, 6): {16: 0, 34: 0, 40: 65672, 39: 21040, 35: 4873, 37: 8415, 30: 0, 27: 0, 32: 0}, ('Category Inverse Choice', 8, 7): {20: 0, 39: 13561, 42: 60493, 34: 0, 40: 25946, 35: 0, 37: 0, 30: 0, 27: 0, 32: 0}, ('Category Inverse Choice', 8, 8): {20: 0, 39: 5250, 43: 61284, 42: 23421, 34: 0, 40: 10045, 35: 0, 37: 0, 30: 0, 27: 0, 32: 0}, ('Category Pair', 0, 0): {0: 100000}, ('Category Pair', 0, 1): {0: 100000}, ('Category Pair', 0, 2): {0: 100000}, ('Category Pair', 0, 3): {0: 100000}, ('Category Pair', 0, 4): {0: 100000}, ('Category Pair', 0, 5): {0: 100000}, ('Category Pair', 0, 6): {0: 100000}, ('Category Pair', 0, 7): {0: 100000}, ('Category Pair', 0, 8): {0: 100000}, ('Category Pair', 1, 0): {0: 100000}, ('Category Pair', 1, 1): {0: 100000}, ('Category Pair', 1, 2): {0: 100000}, ('Category Pair', 1, 3): {0: 100000}, ('Category Pair', 1, 4): {0: 100000}, ('Category Pair', 1, 5): {0: 100000}, ('Category Pair', 1, 6): {0: 100000}, ('Category Pair', 1, 7): {0: 100000}, ('Category Pair', 1, 8): {0: 100000}, ('Category Pair', 2, 0): {0: 100000}, ('Category Pair', 2, 1): {0: 83388, 10: 16612}, ('Category Pair', 2, 2): {0: 69422, 10: 30578}, ('Category Pair', 2, 3): {0: 57830, 10: 42170}, ('Category Pair', 2, 4): {0: 48195, 10: 51805}, ('Category Pair', 2, 5): {0: 40117, 10: 59883}, ('Category Pair', 2, 6): {0: 33286, 10: 66714}, ('Category Pair', 2, 7): {0: 27917, 10: 72083}, ('Category Pair', 2, 8): {0: 23354, 10: 76646}, ('Category Pair', 3, 0): {0: 100000}, ('Category Pair', 3, 1): {0: 55518, 10: 44482}, ('Category Pair', 3, 2): {0: 30904, 10: 69096}, ('Category Pair', 3, 3): {0: 17242, 10: 82758}, ('Category Pair', 3, 4): {0: 9486, 10: 90514}, ('Category Pair', 3, 5): {0: 5362, 10: 94638}, ('Category Pair', 3, 6): {0: 2909, 10: 97091}, ('Category Pair', 3, 7): {0: 1574, 10: 98426}, ('Category Pair', 3, 8): {0: 902, 10: 99098}, ('Category Pair', 4, 0): {0: 100000}, ('Category Pair', 4, 1): {0: 27789, 10: 72211}, ('Category Pair', 4, 2): {0: 7799, 10: 92201}, ('Category Pair', 4, 3): {0: 2113, 10: 97887}, ('Category Pair', 4, 4): {0: 601, 10: 99399}, ('Category Pair', 4, 5): {0: 155, 10: 99845}, ('Category Pair', 4, 6): {0: 43, 10: 99957}, ('Category Pair', 4, 7): {0: 10, 10: 99990}, ('Category Pair', 4, 8): {0: 3, 10: 99997}, ('Category Pair', 5, 0): {0: 100000}, ('Category Pair', 5, 1): {0: 9298, 10: 90702}, ('Category Pair', 5, 2): {0: 863, 10: 99137}, ('Category Pair', 5, 3): {0: 79, 10: 99921}, ('Category Pair', 5, 4): {0: 2, 10: 99998}, ('Category Pair', 5, 5): {0: 2, 10: 99998}, ('Category Pair', 5, 6): {10: 100000}, ('Category Pair', 5, 7): {10: 100000}, ('Category Pair', 5, 8): {10: 100000}, ('Category Pair', 6, 0): {0: 100000}, ('Category Pair', 6, 1): {0: 1541, 10: 98459}, ('Category Pair', 6, 2): {0: 23, 10: 99977}, ('Category Pair', 6, 3): {10: 100000}, ('Category Pair', 6, 4): {10: 100000}, ('Category Pair', 6, 5): {10: 100000}, ('Category Pair', 6, 6): {10: 100000}, ('Category Pair', 6, 7): {10: 100000}, ('Category Pair', 6, 8): {10: 100000}, ('Category Pair', 7, 0): {0: 100000}, ('Category Pair', 7, 1): {10: 100000}, ('Category Pair', 7, 2): {10: 100000}, ('Category Pair', 7, 3): {10: 100000}, ('Category Pair', 7, 4): {10: 100000}, ('Category Pair', 7, 5): {10: 100000}, ('Category Pair', 7, 6): {10: 100000}, ('Category Pair', 7, 7): {10: 100000}, ('Category Pair', 7, 8): {10: 100000}, ('Category Pair', 8, 0): {0: 100000}, ('Category Pair', 8, 1): {10: 100000}, ('Category Pair', 8, 2): {10: 100000}, ('Category Pair', 8, 3): {10: 100000}, ('Category Pair', 8, 4): {10: 100000}, ('Category Pair', 8, 5): {10: 100000}, ('Category Pair', 8, 6): {10: 100000}, ('Category Pair', 8, 7): {10: 100000}, ('Category Pair', 8, 8): {10: 100000}, ('Category Three of a Kind', 0, 0): {0: 100000}, ('Category Three of a Kind', 0, 1): {0: 100000}, ('Category Three of a Kind', 0, 2): {0: 100000}, ('Category Three of a Kind', 0, 3): {0: 100000}, ('Category Three of a Kind', 0, 4): {0: 100000}, ('Category Three of a Kind', 0, 5): {0: 100000}, ('Category Three of a Kind', 0, 6): {0: 100000}, ('Category Three of a Kind', 0, 7): {0: 100000}, ('Category Three of a Kind', 0, 8): {0: 100000}, ('Category Three of a Kind', 1, 0): {0: 100000}, ('Category Three of a Kind', 1, 1): {0: 100000}, ('Category Three of a Kind', 1, 2): {0: 100000}, ('Category Three of a Kind', 1, 3): {0: 100000}, ('Category Three of a Kind', 1, 4): {0: 100000}, ('Category Three of a Kind', 1, 5): {0: 100000}, ('Category Three of a Kind', 1, 6): {0: 100000}, ('Category Three of a Kind', 1, 7): {0: 100000}, ('Category Three of a Kind', 1, 8): {0: 100000}, ('Category Three of a Kind', 2, 0): {0: 100000}, ('Category Three of a Kind', 2, 1): {0: 100000}, ('Category Three of a Kind', 2, 2): {0: 100000}, ('Category Three of a Kind', 2, 3): {0: 100000}, ('Category Three of a Kind', 2, 4): {0: 100000}, ('Category Three of a Kind', 2, 5): {0: 100000}, ('Category Three of a Kind', 2, 6): {0: 100000}, ('Category Three of a Kind', 2, 7): {0: 100000}, ('Category Three of a Kind', 2, 8): {0: 100000}, ('Category Three of a Kind', 3, 0): {0: 100000}, ('Category Three of a Kind', 3, 1): {0: 100000}, ('Category Three of a Kind', 3, 2): {0: 88880, 20: 11120}, ('Category Three of a Kind', 3, 3): {0: 78187, 20: 21813}, ('Category Three of a Kind', 3, 4): {0: 67476, 20: 32524}, ('Category Three of a Kind', 3, 5): {0: 57476, 20: 42524}, ('Category Three of a Kind', 3, 6): {0: 48510, 20: 51490}, ('Category Three of a Kind', 3, 7): {0: 40921, 20: 59079}, ('Category Three of a Kind', 3, 8): {0: 34533, 20: 65467}, ('Category Three of a Kind', 4, 0): {0: 100000}, ('Category Three of a Kind', 4, 1): {0: 90316, 20: 9684}, ('Category Three of a Kind', 4, 2): {0: 68401, 20: 31599}, ('Category Three of a Kind', 4, 3): {0: 49383, 20: 50617}, ('Category Three of a Kind', 4, 4): {0: 34399, 20: 65601}, ('Category Three of a Kind', 4, 5): {0: 24154, 20: 75846}, ('Category Three of a Kind', 4, 6): {0: 16802, 20: 83198}, ('Category Three of a Kind', 4, 7): {0: 11623, 20: 88377}, ('Category Three of a Kind', 4, 8): {0: 8105, 20: 91895}, ('Category Three of a Kind', 5, 0): {0: 100000}, ('Category Three of a Kind', 5, 1): {0: 78629, 20: 21371}, ('Category Three of a Kind', 5, 2): {0: 46013, 20: 53987}, ('Category Three of a Kind', 5, 3): {0: 25698, 20: 74302}, ('Category Three of a Kind', 5, 4): {0: 14205, 20: 85795}, ('Category Three of a Kind', 5, 5): {0: 7932, 20: 92068}, ('Category Three of a Kind', 5, 6): {0: 4357, 20: 95643}, ('Category Three of a Kind', 5, 7): {0: 2432, 20: 97568}, ('Category Three of a Kind', 5, 8): {0: 1378, 20: 98622}, ('Category 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('Category Four of a Kind', 3, 4): {0: 100000}, ('Category Four of a Kind', 3, 5): {0: 100000}, ('Category Four of a Kind', 3, 6): {0: 100000}, ('Category Four of a Kind', 3, 7): {0: 100000}, ('Category Four of a Kind', 3, 8): {0: 100000}, ('Category Four of a Kind', 4, 0): {0: 100000}, ('Category Four of a Kind', 4, 1): {0: 100000}, ('Category Four of a Kind', 4, 2): {0: 96122, 30: 3878}, ('Category Four of a Kind', 4, 3): {0: 89867, 30: 10133}, ('Category Four of a Kind', 4, 4): {0: 81771, 30: 18229}, ('Category Four of a Kind', 4, 5): {0: 72893, 30: 27107}, ('Category Four of a Kind', 4, 6): {0: 64000, 30: 36000}, ('Category Four of a Kind', 4, 7): {0: 55921, 30: 44079}, ('Category Four of a Kind', 4, 8): {0: 48175, 30: 51825}, ('Category Four of a Kind', 5, 0): {0: 100000}, ('Category Four of a Kind', 5, 1): {0: 97938, 30: 2062}, ('Category Four of a Kind', 5, 2): {0: 86751, 30: 13249}, ('Category Four of a Kind', 5, 3): {0: 70886, 30: 29114}, ('Category Four of a Kind', 5, 4): {0: 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('Category Tiny Straight', 2, 8): {0: 100000}, ('Category Tiny Straight', 3, 0): {0: 100000}, ('Category Tiny Straight', 3, 1): {0: 91672, 20: 8328}, ('Category Tiny Straight', 3, 2): {0: 79082, 20: 20918}, ('Category Tiny Straight', 3, 3): {0: 66490, 20: 33510}, ('Category Tiny Straight', 3, 4): {0: 55797, 20: 44203}, ('Category Tiny Straight', 3, 5): {0: 46967, 20: 53033}, ('Category Tiny Straight', 3, 6): {0: 39595, 20: 60405}, ('Category Tiny Straight', 3, 7): {0: 33384, 20: 66616}, ('Category Tiny Straight', 3, 8): {0: 28747, 20: 71253}, ('Category Tiny Straight', 4, 0): {0: 100000}, ('Category Tiny Straight', 4, 1): {0: 78812, 20: 21188}, ('Category Tiny Straight', 4, 2): {0: 55525, 20: 44475}, ('Category Tiny Straight', 4, 3): {0: 38148, 20: 61852}, ('Category Tiny Straight', 4, 4): {0: 26432, 20: 73568}, ('Category Tiny Straight', 4, 5): {0: 18225, 20: 81775}, ('Category Tiny Straight', 4, 6): {0: 12758, 20: 87242}, ('Category Tiny Straight', 4, 7): {0: 8991, 20: 91009}, ('Category Tiny Straight', 4, 8): {0: 6325, 20: 93675}, ('Category Tiny Straight', 5, 0): {0: 100000}, ('Category Tiny Straight', 5, 1): {0: 64979, 20: 35021}, ('Category Tiny Straight', 5, 2): {0: 36509, 20: 63491}, ('Category Tiny Straight', 5, 3): {0: 20576, 20: 79424}, ('Category Tiny Straight', 5, 4): {0: 11585, 20: 88415}, ('Category Tiny Straight', 5, 5): {0: 6874, 20: 93126}, ('Category Tiny Straight', 5, 6): {0: 3798, 20: 96202}, ('Category Tiny Straight', 5, 7): {0: 2214, 20: 97786}, ('Category Tiny Straight', 5, 8): {0: 1272, 20: 98728}, ('Category Tiny Straight', 6, 0): {0: 100000}, ('Category Tiny Straight', 6, 1): {0: 52157, 20: 47843}, ('Category Tiny Straight', 6, 2): {0: 23641, 20: 76359}, ('Category Tiny Straight', 6, 3): {0: 10883, 20: 89117}, ('Category Tiny Straight', 6, 4): {0: 5127, 20: 94873}, ('Category Tiny Straight', 6, 5): {0: 2442, 20: 97558}, ('Category Tiny Straight', 6, 6): {0: 1158, 20: 98842}, ('Category Tiny Straight', 6, 7): {0: 542, 20: 99458}, ('Category Tiny Straight', 6, 8): {0: 252, 20: 99748}, ('Category Tiny Straight', 7, 0): {0: 100000}, ('Category Tiny Straight', 7, 1): {0: 41492, 20: 58508}, ('Category Tiny Straight', 7, 2): {0: 15072, 20: 84928}, ('Category Tiny Straight', 7, 3): {0: 5905, 20: 94095}, ('Category Tiny Straight', 7, 4): {0: 2246, 20: 97754}, ('Category Tiny Straight', 7, 5): {0: 942, 20: 99058}, ('Category Tiny Straight', 7, 6): {0: 337, 20: 99663}, ('Category Tiny Straight', 7, 7): {0: 155, 20: 99845}, ('Category Tiny Straight', 7, 8): {0: 61, 20: 99939}, ('Category Tiny Straight', 8, 0): {0: 100000}, ('Category Tiny Straight', 8, 1): {0: 32993, 20: 67007}, ('Category Tiny Straight', 8, 2): {0: 10074, 20: 89926}, ('Category Tiny Straight', 8, 3): {0: 3158, 20: 96842}, ('Category Tiny Straight', 8, 4): {0: 1060, 20: 98940}, ('Category Tiny Straight', 8, 5): {0: 356, 20: 99644}, ('Category Tiny Straight', 8, 6): {0: 117, 20: 99883}, ('Category Tiny Straight', 8, 7): {0: 32, 20: 99968}, ('Category Tiny 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