Solve p11, p13 in lua

README.rst

@@ -95,7 +95,7 @@ Olivia's Project Euler Solutions
    |            | Browser [#]_               |        | |CodeQL| |br|     |
    |            |                            |        | |ESLint|          |
    +------------+----------------------------+--------+-------------------+
-   | Lua        | Lua 5+ [#]_                | 12     | |Luai| |br|       |
+   | Lua        | Lua 5+ [#]_                | 14     | |Luai| |br|       |
    |            |                            |        | |Lu-Cov| |br|     |
    |            |                            |        | |LuaCheck|        |
    +------------+----------------------------+--------+-------------------+

docs/index.rst

@@ -97,11 +97,11 @@ Problems Solved
   +-----------+-----------+------------+------------+------------+------------+------------+------------+------------+
   |:prob:`010`|:c-d:`0010`|            |:cs-d:`0010`|            |:js-d:`0010`|            |:py-d:`0010`|:rs-d:`0010`|
   +-----------+-----------+------------+------------+------------+------------+------------+------------+------------+
-  |:prob:`011`|:c-d:`0011`|:cp-d:`0011`|:cs-d:`0011`|:ja-d:`0011`|:js-d:`0011`|            |:py-d:`0011`|:rs-d:`0011`|
+  |:prob:`011`|:c-d:`0011`|:cp-d:`0011`|:cs-d:`0011`|:ja-d:`0011`|:js-d:`0011`|:lu-d:`0011`|:py-d:`0011`|:rs-d:`0011`|
   +-----------+-----------+------------+------------+------------+------------+------------+------------+------------+
   |:prob:`012`|:c-s:`0012`|            |            |            |:js-d:`0012`|            |:py-d:`0012`|:rs-d:`0012`|
   +-----------+-----------+------------+------------+------------+------------+------------+------------+------------+
-  |:prob:`013`|:c-d:`0013`|:cp-d:`0013`|:cs-d:`0013`|:ja-d:`0013`|:js-d:`0013`|            |:py-d:`0013`|:rs-d:`0013`|
+  |:prob:`013`|:c-d:`0013`|:cp-d:`0013`|:cs-d:`0013`|:ja-d:`0013`|:js-d:`0013`|:lu-d:`0013`|:py-d:`0013`|:rs-d:`0013`|
   +-----------+-----------+------------+------------+------------+------------+------------+------------+------------+
   |:prob:`014`|:c-d:`0014`|:cp-d:`0014`|:cs-d:`0014`|:ja-d:`0014`|:js-d:`0014`|            |:py-d:`0014`|:rs-d:`0014`|
   +-----------+-----------+------------+------------+------------+------------+------------+------------+------------+

docs/src/lua/p0011.rst

@@ -0,0 +1,18 @@
+Lua Implementation of Problem 11
+================================
+
+View source code :source:`lua/src/p0011.lua`
+
+Solution
+--------
+
+.. lua:function:: solution()
+
+    :return: The solution to problem 11
+    :rtype: number
+
+.. literalinclude:: ../../../lua/src/p0011.lua
+   :language: Lua
+   :linenos:
+
+.. tags:: optimization

docs/src/lua/p0013.rst

@@ -0,0 +1,18 @@
+Lua Implementation of Problem 13
+================================
+
+View source code :source:`lua/src/p0013.lua`
+
+Solution
+--------
+
+.. lua:function:: solution()
+
+    :return: The solution to problem 13
+    :rtype: number
+
+.. literalinclude:: ../../../lua/src/p0013.lua
+   :language: Lua
+   :linenos:
+
+.. tags:: large-numbers

lua/README.rst

@@ -67,6 +67,8 @@ Problems Solved
 -  ☒ `7 <./src/p0007.lua>`__
 -  ☒ `8 <./src/p0008.lua>`__
 -  ☒ `9 <./src/p0009.lua>`__
+-  ☒ `11 <./src/p0011.lua>`__
+-  ☒ `13 <./src/p0013.lua>`__
 -  ☒ `17 <./src/p0017.lua>`__
 -  ☒ `28 <./src/p0028.lua>`__
 -  ☒ `34 <./src/p0034.lua>`__

lua/src/p0011.lua

@@ -0,0 +1,103 @@
+-- Project Euler Problem 11
+--
+-- Problem:
+--
+-- In the 20×20 grid below, four numbers along a diagonal line have been marked in red.
+--
+-- 08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
+-- 49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
+-- 81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
+-- 52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
+-- 22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
+-- 24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
+-- 32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
+-- 67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
+-- 24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
+-- 21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
+-- 78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
+-- 16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
+-- 86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
+-- 19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
+-- 04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
+-- 88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
+-- 04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
+-- 20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
+-- 20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
+-- 01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48
+--
+-- The product of these numbers is 26 × 63 × 78 × 14 = 1788696.
+--
+-- What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in
+-- the 20×20 grid?
+
+local grid = {
+    { 8,  2, 22, 97, 38, 15,  0, 40,  0, 75,  4,  5,  7, 78, 52, 12, 50, 77, 91,  8},
+    {49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48,  4, 56, 62,  0},
+    {81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30,  3, 49, 13, 36, 65},
+    {52, 70, 95, 23,  4, 60, 11, 42, 69, 24, 68, 56,  1, 32, 56, 71, 37,  2, 36, 91},
+    {22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80},
+    {24, 47, 32, 60, 99, 03, 45,  2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50},
+    {32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70},
+    {67, 26, 20, 68,  2, 62, 12, 20, 95, 63, 94, 39, 63,  8, 40, 91, 66, 49, 94, 21},
+    {24, 55, 58,  5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72},
+    {21, 36, 23,  9, 75,  0, 76, 44, 20, 45, 35, 14,  0, 61, 33, 97, 34, 31, 33, 95},
+    {78, 17, 53, 28, 22, 75, 31, 67, 15, 94,  3, 80,  4, 62, 16, 14,  9, 53, 56, 92},
+    {16, 39,  5, 42, 96, 35, 31, 47, 55, 58, 88, 24,  0, 17, 54, 24, 36, 29, 85, 57},
+    {86, 56,  0, 48, 35, 71, 89,  7,  5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58},
+    {19, 80, 81, 68,  5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77,  4, 89, 55, 40},
+    { 4, 52,  8, 83, 97, 35, 99, 16,  7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66},
+    {88, 36, 68, 87, 57, 62, 20, 72,  3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69},
+    { 4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18,  8, 46, 29, 32, 40, 62, 76, 36},
+    {20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 04, 36, 16},
+    {20, 73, 35, 29, 78, 31, 90,  1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57,  5, 54},
+    { 1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52,  1, 89, 19, 67, 48}
+}
+
+return {
+    solution = function()
+        local answer = 0
+        local tmp
+
+        for i = 1,20,1
+        do
+            for j = 1,17,1
+            do
+                -- horizontal section
+                tmp = grid[i][j] * grid[i][j + 1] * grid[i][j + 2] * grid[i][j + 3];
+                if tmp > answer
+                then
+                    answer = tmp
+                end
+
+                -- vertical section
+                tmp = grid[j][i] * grid[j + 1][i] * grid[j + 2][i] * grid[j + 3][i];
+                if tmp > answer
+                then
+                    answer = tmp
+                end
+            end
+        end
+
+        for i = 1,17,1
+        do
+            for j = 1,17,1
+            do
+                -- right diagonal section
+                tmp = grid[i][j] * grid[i + 1][j + 1] * grid[i + 2][j + 2] * grid[i + 3][j + 3];
+                if tmp > answer
+                then
+                    answer = tmp
+                end
+
+                -- left diagonal section
+                tmp = grid[i][j + 3] * grid[i + 1][j + 2] * grid[i + 2][j + 1] * grid[i + 3][j];
+                if tmp > answer
+                then
+                    answer = tmp
+                end
+            end
+        end
+
+        return answer
+    end
+}