Hypothesis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### INFERENTIAL STATISTICS AND HYPOTHESIS TESTING CONCEPTS UNDER DIFFERENT SCENARIOS  "
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Index"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. What is Inferential Statistics?\n",
    "\n",
    "1.1 Using Different Scenarios to Explain Inferential Statistics\n",
    "Explanation through various practical examples, including business, medicine, social sciences, and politics.\n",
    "\n",
    "1.2 Central Limit Theorem\n",
    "Definition and importance\n",
    "How it applies to inferential statistics\n",
    "Examples and illustrations\n",
    "\n",
    "\n",
    "1.3 Steps in Inferential Statistics\n",
    "Identifying the population and sample\n",
    "Estimating parameters\n",
    "Conducting hypothesis tests\n",
    "Making decisions and interpreting results\n",
    "\n",
    "\n",
    "1.4 Using Python for Inferential Statistics Case Study-Based Questions\n",
    "Introduction to Python libraries for statistical analysis (e.g., NumPy, SciPy, Pandas)\n",
    "Example case studies and code snippets\n",
    "Practical applications and interpretation of results\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. What is Hypothesis Testing?\n",
    "\n",
    "2.1 Using Different Scenarios to Explain Hypothesis Testing\n",
    "Detailed scenarios illustrating hypothesis testing in various contexts (e.g., clinical trials, market research)\n",
    "\n",
    "2.2 Z-Test and Types of Z-Test\n",
    "Definition and purpose\n",
    "Types of Z-tests: One-sample, Two-sample, and Proportion Z-tests\n",
    "Examples and applications\n",
    "\n",
    "2.3 T-Test and Types of T-Test\n",
    "Definition and purpose\n",
    "Types of T-tests: One-sample, Two-sample (independent and paired)\n",
    "Examples and applications\n",
    "\n",
    "2.4 Chi-Square Test and Steps of It\n",
    "Definition and purpose\n",
    "Types of Chi-Square tests: Goodness-of-fit, Test of independence\n",
    "Step-by-step procedure for conducting a Chi-Square test\n",
    "Examples and applications\n",
    "\n",
    "2.5 ANOVA Test\n",
    "Definition and purpose\n",
    "Types of ANOVA: One-way, Two-way\n",
    "Steps in conducting ANOVA\n",
    "Examples and applications\n",
    "\n",
    "2.6 A/B Testing\n",
    "Definition and purpose\n",
    "Steps in conducting A/B testing\n",
    "Example scenarios and analysis\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Scenario-Based Questions for Practice: Hypothesis Testing and Inferential Statistics\n",
    "Various practice questions involving hypothesis testing and inferential statistics\n",
    "Solutions and explanations\n",
    "Case studies for hands-on practice"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lets Begin.."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "### 1.1 Using Different Scenarios to Explain Inferential Statistics\n",
    "\n",
    "\n",
    "Inferential statistics involves drawing conclusions about a population based on a sample. Here are some scenarios to illustrate its application:\n",
    "\n",
    "Business: A company surveys 100 customers about their satisfaction with a new product. Based on this sample, the company makes predictions about the satisfaction level of all its customers.\n",
    "\n",
    "Medicine: A clinical trial tests a new drug on 200 patients to infer its effectiveness across a broader population.\n",
    "\n",
    "Social Sciences: Researchers conduct a survey of 500 people to study the prevalence of a behavior in a community, then generalize the findings to the entire community.\n",
    "\n",
    "Politics: Pollsters sample 1,000 voters to predict the outcome of an election, inferring the voting behavior of the entire electorate.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 Central Limit Theorem\n",
    "\n",
    "The Central Limit Theorem (CLT) states that the sampling distribution of the sample mean will be approximately normally distributed, regardless of the population distribution, provided the sample size is sufficiently large (usually n≥30).\n",
    "\n",
    "Importance: It allows us to use normal distribution techniques for inference, even if the original data is not normally distributed.\n",
    "\n",
    "Example: If you repeatedly sample from a population and calculate the sample mean each time, the distribution of these sample means will approximate a normal distribution if the sample size is large enough."
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.3 Steps in Inferential Statistics\n",
    "\n",
    "Identify the Population and Sample: Define the group of interest (population) and select a subset (sample).\n",
    "\n",
    "Estimate Parameters: Use sample data to estimate population parameters (e.g., mean, proportion).\n",
    "\n",
    "\n",
    "Make Decisions and Interpret Results: Based on the results, make conclusions about the population and interpret them in the context of the problem."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.4 Using Python for Inferential Statistics Case Study-Based Questions\n",
    "\n",
    "Introduction to Python Libraries:\n",
    "\n",
    "NumPy: For numerical operations.\n",
    "SciPy: For statistical functions.\n",
    "Pandas: For data manipulation and analysis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example Case Study:\n",
    "\n",
    "Scenario: A company wants to estimate the average salary of all its employees based on a sample."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean Salary: 52428.57142857143\n",
      "95% Confidence Interval: (47568.15306135778, 57288.98979578508)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Sample data\n",
    "sample_salaries = [45000, 48000, 50000, 52000, 55000, 57000, 60000]\n",
    "\n",
    "# Calculate sample mean and standard deviation\n",
    "mean_salary = np.mean(sample_salaries)\n",
    "std_dev_salary = np.std(sample_salaries, ddof=1)  # Sample standard deviation\n",
    "\n",
    "# Confidence interval calculation\n",
    "confidence_level = 0.95\n",
    "degrees_freedom = len(sample_salaries) - 1\n",
    "sample_mean = np.mean(sample_salaries)\n",
    "sample_std_err = std_dev_salary / np.sqrt(len(sample_salaries))\n",
    "confidence_interval = stats.t.interval(confidence_level, degrees_freedom, sample_mean, sample_std_err)\n",
    "\n",
    "print(f\"Mean Salary: {mean_salary}\")\n",
    "print(f\"95% Confidence Interval: {confidence_interval}\")\n",
    "\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "### 2.1 Using Different Scenarios to Explain Hypothesis Testing\n",
    "\n",
    "Hypothesis testing involves making and testing a claim about a population based on sample data.\n",
    "\n",
    "Scenario 1: A company claims that its new marketing strategy increases sales. A sample of sales data is used to test if the increase is statistically significant.\n",
    "\n",
    "Scenario 2: A medical study tests whether a new drug has a different effect compared to an existing drug. Data from clinical trials is used to determine if the new drug is significantly more effective."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Z-Test and Types of Z-Test\n",
    "\n",
    "what is Z-Value :The Z-value is a measure of how many standard deviations a data point is from the mean of a distribution.\n",
    "The Z-value allows you to calculate the cumulative probability (or the probability that a value is less than or equal to a given Z-value) using the Z-table. This cumulative probability is often referred to as the area under the curve to the left of the Z-value in a standard normal distribution.\n",
    "\n",
    ".\n",
    "\n",
    ".\n",
    "\n",
    ".\n",
    "\n",
    "#### Methods\n",
    "\n",
    "1. P-value Method\n",
    "\n",
    "The p-value method involves comparing the p-value (the probability of observing a test statistic as extreme as, or more extreme than, the one computed from the sample data) to a pre-determined significance level (α).\n",
    "\n",
    "Decision Rule: If the p-value is less than or equal to the significance level (α), reject the null hypothesis. If the p-value is greater than α, fail to reject the null hypothesis.\n",
    " \n",
    "2. Critical value method\n",
    "\n",
    "The critical value method involves comparing the test statistic (such as a z-value or t-value) to critical values that correspond to the significance level (α). These critical values define the boundaries of the rejection region.\n",
    "\n",
    "Decision Rule: If the test statistic falls into the rejection region (i.e., is beyond the critical value), reject the null hypothesis. If the test statistic does not fall into the rejection region, fail to reject the null hypothesis.\n",
    "\n",
    ".\n",
    "\n",
    ".\n",
    "\n",
    ".\n",
    "\n",
    ".\n",
    "\n",
    "Definition: A Z-test is used when the sample size is large (usually n>30) or the population variance is known.\n",
    "\n",
    "Types:\n",
    "\n",
    "One-Sample Z-Test: Tests if the sample mean differs from a known population mean.\n",
    "\n",
    "Two-Sample Z-Test: Compares the means of two independent samples.\n",
    "\n",
    "Proportion Z-Test: Tests if a sample proportion differs from a known population proportion."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Question: One-Sample Hypothesis Test Using Z-Test\n",
    "\n",
    "A company claims that the average weight of their packaged product is 50 grams. A quality control inspector randomly samples 30 packages and finds that the \n",
    "\n",
    "sample has an average weight of 48 grams with a standard deviation of 2.5 grams.\n",
    "\n",
    "Test the company's claim at a 0.05 significance level."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Instructions:\n",
    "\n",
    "State the null and alternative hypotheses.\n",
    "\n",
    "Calculate the Z-value for the sample.\n",
    "\n",
    "Determine the critical value for the Z-test at the 0.05 significance level.\n",
    "\n",
    "Make a decision to either reject or fail to reject the null hypothesis.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Z-value: -4.38\n",
      "P-value: 0.0000\n",
      "Reject the null hypothesis. The average weight is significantly different from 50 grams.\n"
     ]
    }
   ],
   "source": [
    "# Null hypothesis : average weight is equals to 50\n",
    "# alternate hypothesis : average weight is not equals to 50\n",
    "\n",
    "\n",
    "\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Given data\n",
    "sample_mean = 48        # Sample mean\n",
    "population_mean = 50    # Population mean (claimed)\n",
    "sample_std = 2.5        # Sample standard deviation\n",
    "sample_size = 30        # Sample size\n",
    "\n",
    "# Calculate the Z-value\n",
    "z_value = (sample_mean - population_mean) / (sample_std / np.sqrt(sample_size))\n",
    "\n",
    "# Calculate the p-value for the two-tailed test\n",
    "p_value = 2 * (1 - stats.norm.cdf(np.abs(z_value)))\n",
    "\n",
    "#if it was one tail test we would not multiply by 2  \n",
    "\n",
    "# Significance level\n",
    "alpha = 0.05\n",
    "\n",
    "# Output results\n",
    "print(f\"Z-value: {z_value:.2f}\")\n",
    "print(f\"P-value: {p_value:.4f}\")\n",
    "\n",
    "# Determine whether to reject the null hypothesis\n",
    "if p_value < alpha:\n",
    "    print(\"Reject the null hypothesis. The average weight is significantly different from 50 grams.\")\n",
    "else:\n",
    "    print(\"Fail to reject the null hypothesis. There is not enough evidence to say the average weight is different from 50 grams.\")\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Two-Sample Z-Test Example Problem Statement"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Suppose we want to compare the average test scores of two different teaching methods. Method A has 40 students with an average score of 85 and a known population standard deviation of 10. Method B has 35 students with an average score of 80 and a known population standard deviation of 12. We want to test if there is a significant difference in the average scores between the two methods at a significance level of 0.05."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Z-value: 1.94\n",
      "P-value: 0.0519\n",
      "Fail to reject the null hypothesis. There is not enough evidence to say there is a significant difference between the two teaching methods.\n"
     ]
    }
   ],
   "source": [
    "# The null hypothesis states that there is no significant difference between the means of the two populations.\n",
    " #The alternative hypothesis states that there is a significant difference between the means of the two populations.\n",
    "\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Given data for Method A\n",
    "mean_A = 85          # Sample mean for Method A\n",
    "std_dev_A = 10       # Population standard deviation for Method A\n",
    "n_A = 40             # Sample size for Method A\n",
    "\n",
    "# Given data for Method B\n",
    "mean_B = 80          # Sample mean for Method B\n",
    "std_dev_B = 12       # Population standard deviation for Method B\n",
    "n_B = 35             # Sample size for Method B\n",
    "\n",
    "# Significance level\n",
    "alpha = 0.05\n",
    "\n",
    "# Calculate the standard error of the difference in means\n",
    "std_error = np.sqrt((std_dev_A ** 2 / n_A) + (std_dev_B ** 2 / n_B))\n",
    "\n",
    "# Calculate the Z-value\n",
    "z_value = (mean_A - mean_B) / std_error\n",
    "\n",
    "# Calculate the p-value for the two-tailed test\n",
    "p_value = 2 * (1 - stats.norm.cdf(np.abs(z_value)))\n",
    "\n",
    "# Output results\n",
    "print(f\"Z-value: {z_value:.2f}\")\n",
    "print(f\"P-value: {p_value:.4f}\")\n",
    "\n",
    "# Determine whether to reject the null hypothesis\n",
    "if p_value < alpha:\n",
    "    print(\"Reject the null hypothesis. There is a significant difference between the two teaching methods.\")\n",
    "else:\n",
    "    print(\"Fail to reject the null hypothesis. There is not enough evidence to say there is a significant difference between the two teaching methods.\")\n"
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Central Limit Theorem for Sample Proportions\n",
    "\n",
    "The Central Limit Theorem (CLT) for sample proportions is a key concept in statistics that helps us make inferences about proportions from sample data. Here’s a detailed overview:\n",
    "\n",
    "## Concept\n",
    "\n",
    "The CLT for sample proportions states that, given a sufficiently large sample size, the distribution of the sample proportion will approximate a normal distribution, regardless of the population distribution. This approximation becomes more accurate as the sample size increases.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Proportion Z-Test: Tests if a sample proportion differs from a known population proportion, Example: "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Imagine a company claims that 60% of its customers are satisfied with their service. To test this claim, you conduct a survey of 150 customers, and 90 of them report being satisfied. You want to test if the proportion of satisfied customers in your sample differs from the company’s claim of 60%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Z-value: 0.00\n",
      "P-value: 1.0000\n",
      "Fail to reject the null hypothesis. There is not enough evidence to say the sample proportion differs from 60%.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Given data\n",
    "n = 150  # Sample size\n",
    "x = 90    # Number of successes\n",
    "p_hat = x / n  # Sample proportion\n",
    "p0 = 0.60  # Population proportion\n",
    "alpha = 0.05  # Significance level\n",
    "\n",
    "# Calculate standard error\n",
    "SE = np.sqrt(p0 * (1 - p0) / n)\n",
    "\n",
    "# Calculate Z-value\n",
    "Z = (p_hat - p0) / SE\n",
    "\n",
    "# Calculate p-value for two-tailed test\n",
    "p_value = 2 * (1 - stats.norm.cdf(np.abs(Z)))\n",
    "\n",
    "# Output results\n",
    "print(f\"Z-value: {Z:.2f}\")\n",
    "print(f\"P-value: {p_value:.4f}\")\n",
    "\n",
    "# Decision\n",
    "if p_value < alpha:\n",
    "    print(\"Reject the null hypothesis. The sample proportion significantly differs from 60%.\")\n",
    "else:\n",
    "    print(\"Fail to reject the null hypothesis. There is not enough evidence to say the sample proportion differs from 60%.\")\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 T-Test and Types of T-Test\n",
    "\n",
    "Definition: A T-test is used when the sample size is small or the population variance is unknown.\n",
    "\n",
    "Types:\n",
    "\n",
    "One-Sample T-Test: Tests if the sample mean differs from a known population mean.\n",
    "\n",
    "Two-Sample T-Test: Compares means from two independent samples (can be equal or unequal variances).\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question : One sample T -TEST Problem Statement:\n",
    "Suppose you have a sample of test scores from a class, and you want to determine if the average test score of this class differs significantly from the national average of 75."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T-statistic: 5.513144988922323\n",
      "P-value: 0.000373778566758114\n",
      "Reject the null hypothesis: The sample mean is significantly different from the population mean.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Sample test scores\n",
    "sample_scores = np.array([78, 82, 85, 90, 88, 76, 79, 85, 91, 89])\n",
    "\n",
    "# Hypothesized population mean\n",
    "population_mean = 75\n",
    "\n",
    "# Perform the one-sample t-test\n",
    "t_statistic, p_value = stats.ttest_1samp(sample_scores, population_mean)\n",
    "\n",
    "# Print the results\n",
    "print(f\"T-statistic: {t_statistic}\")\n",
    "print(f\"P-value: {p_value}\")\n",
    "\n",
    "# Interpret the results\n",
    "alpha = 0.05  # significance level\n",
    "if p_value < alpha:\n",
    "    print(\"Reject the null hypothesis: The sample mean is significantly different from the population mean.\")\n",
    "else:\n",
    "    print(\"Fail to reject the null hypothesis: The sample mean is not significantly different from the population mean.\")\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Red Line (Sample Mean): Indicates where the mean of your sample lies.\n",
    "\n",
    "Green Line (Population Mean): Indicates the hypothesized mean of the population.\n",
    "\n",
    "Gray Shaded Area: Represents the critical regions based on the t-distribution where you would reject the null hypothesis.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question : Two sample T -TEST Problem Statement Independent/Unpaired Groups:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Problem Statement\n",
    "\n",
    "Suppose you want to compare the effectiveness of two different teaching methods on students' test scores. You have the test scores from two independent groups of students:\n",
    "\n",
    ".Group A (students who used Teaching Method A)\n",
    "\n",
    ".Group B (students who used Teaching Method B)\n",
    "\n",
    "You want to test if there is a significant difference in the average test scores between the two groups.\n",
    "\n",
    "Here’s the test scores for each group:\n",
    "\n",
    ".Group A: [85, 88, 90, 92, 87, 89, 91, 84, 86, 90]\n",
    "\n",
    ".Group B: [78, 80, 82, 85, 79, 81, 83, 77, 80, 82]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T-statistic: 6.615\n",
      "P-value: 0.000\n",
      "Reject H0: There is a significant difference between the two groups.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Sample data\n",
    "group_a = np.array([85, 88, 90, 92, 87, 89, 91, 84, 86, 90])\n",
    "group_b = np.array([78, 80, 82, 85, 79, 81, 83, 77, 80, 82])\n",
    "\n",
    "# Perform the two-sample t-test (assuming equal variance)\n",
    "t_statistic, p_value = stats.ttest_ind(group_a, group_b, equal_var=True)\n",
    "\n",
    "# Significance level\n",
    "alpha = 0.05\n",
    "\n",
    "# Print t-statistic and p-value\n",
    "print(f\"T-statistic: {t_statistic:.3f}\")\n",
    "print(f\"P-value: {p_value:.3f}\")\n",
    "\n",
    "# Hypothesis test\n",
    "if p_value < alpha:\n",
    "    print('Reject H0: There is a significant difference between the two groups.')\n",
    "else:\n",
    "    print('Accept H0: There is no significant difference between the two groups.')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Histogram and KDE: Shows the density of test scores for both groups and highlights how their distributions compare.\n",
    "\n",
    "Highlighted Regions: Shows where the distributions overlap and where they differ, providing a visual sense of the differences.\n",
    "\n",
    "Q-Q Plot: Helps to assess the normality of the distribution for Group A."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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9zJNkEgJfffUVDZY75zt48CDXf26arNgqLi6eMWNG69atEUKenp4vvfTS2bNnaXOQAAJAAAgAASDg3AQe+3yfl5cXIUCWOJG/pHSbp8c+38dd8swlqVar//73vx8+fPjIkSPZ2dlUmSJluPpUnz59WrRowa1LpgrvvvsuyRShT1k7neC1jjGePXs27/m+wsLCw/c/ZFJKqpApHHdmQqZ8vB2gvvzyS4TQ1atX701mLNGnaOykFbJUjbvwn+vw3//+d09PzytXrhQ+/ISGhoaEhFCRkVsY0kAACNhOAPQp2xmCBSDgEASq06fI8iKqwvDkJOK6Xq//7bffyF5RZJ9IAX2Kt1KdZ1CtVgusn9qwYQNvRTfZ8JtswGTJ833VrZ9KSUmxVp8qLi52d3c3u36KrDkXt36KrKXfsmULmWlx/8sbKGfOnPnyyy89PDzGjBlDTonQp+4tp5o8eTJ9cE/E+imy3Mw0WLL07NNPP+WGQNJUUCNuX79+PT4+vmHDhq1bt+bFCIdAAAgAASAABJyYAHlPn+nqm5ycHA8Pj4EDB5LYL168SP+Y0ufavv76a4H90evVq0c3MucB5D1wxzvL1aeGDRvm6+trun5q6tSppJYIfaq69VPVTSd47t2b7B0+fLi6/dEjIyN566e4PxM+dv3UmDFjeI9Mjh8//t42EdQHhJDl66fOnDnD/XGOm961axe1CQkgAAQYEvjf5crQKJgCAkBAegJm9anLly83adKkdu3adNETT07i+nn79m26f8GdO3cQQh9//DG3AKn7WH3KdP8pPz8/su46IyODtw/CiBEj6Pv7MMb/+Mc/yHNw3Ha5+0+98cYbnp6e165dowUGDhzI23/KwvVTGOOePXsGBQXRZ9MMBkPHjh1t3H/q4sWLtWrVmjdvHvVQONGlS5ewsDBSplu3buHh4QLltVot72dSjDHZ3ZNMjsn+U3TuyzX16aefIoT++OMPmjl+/Hje/lPcWSDG+IknnuA9TUnrmiaITEY62vQs5AABIAAEgAAQcD4CBw8edHd3Hzx4MHdBjV6vHzRoEHebJ7OBFxYWNmzYMDQ0ND8/n1tg7ty5wg+RWa5Pffvttwihbdu2UfvkpYG//voryalbty7ZH5MWME3wmhMxnTC12a9fP6VSyd1Ak5QR1qcMBkNISEiXLl2o4lZcXBwYGNirVy9Sfc6cOe7u7nR7qYqKipYtW/L0KdP9p0yXmBFrZJf6lStXpnE+P/30k0KhGDp0qGlQkAMEgIDtBECfsp0hWAACDkGA6FPx8fEZGRkHDhzYunXr5MmTa9euXbdu3b1791IXufpUXFzcq6++unr16r179/7000+vvPIKd7m1Wq1u3br1L7/8cvjwYfI6YQv1Kfr+vp9//pmsyaJijV6vb926ddOmTRMTE3/++efRo0c3a9aMq0+RJpYvX/7777/T1+Fx9Sny/j7yAjv6fkC69pvsP2W5PkXe39ejR4/Nmzf/8MMPzz//PH1/H33kjSfZUJLcBE8cnD17dq1atcaMGZOcnLxv376kpKQPP/yQ7Cv/559/PvXUU998883PP/+8Z8+e6dOnu7u7T5s2jViLjIxUqVQbN27MzMw8fvw4twmS3rx5c6NGjaZMmZKcnLx///4tW7YMHToUIfTmm2+SAuT9fYGBgTExMXv27Nm6deuoUaO47+8LCgr67rvvfvnll4kTJ3K33zJdP4Ux3rt3r0ql6tevX2JiYnp6enJy8uzZs1955RXS1r3dr2bOnLl9+/b09PQVK1bUq1evZ8+epj5DDhAAAkAACAABJybwzTffuLm5RURErFu3bv/+/evWrevZs+e9tTaff/75Y6M+ePBgQEBA48aNY2Nj9+3b9+OPP5KJ03PPPcd9OQnPDk8w4p3lrp8i7+/z8/NbtGjRPU0qOjpaoVBwf3nSaDSBgYE//vjj4cOHzf64RV59QxeC0dcBWzWd4HlIjHTt2lWpVI4ePXrr1q0HDhzYtWvXnDlzQkJCgoODSXmzMxPy/r4BAwb88MMPmzZtCgsL476/78KFCwqF4umnn961a9fWrVs1Gg2ZZ1IHEEKm7+8zu0upTqcLCgqi+7dSC+THVIVCQX/65Z6CNBAAAjYSAH3KRoBQHQg4CgEikZC1x0qlMjAwUKPRzJ49m/fnk6tPZWRkvPzyy2q1WqVS1atXT6PR/PjjjzSe1NTUrl27qlQqhFBkZOS9fAv1qYEDB27ZsqV9+/ZKpTI0NHTRokXUJsb47Nmz/fr18/f3b9CgwYQJE3bt2sXVp27duvXKK68EBAS4ubnR37u4+hTG+MSJE4MHD65du7ZSqezcuTN3bylr9SmM8YEDB5599lkfHx8vL6+IiIgdO3ZQb81OjOhZboKnT2GM76k2zzzzjL+/v0qlUqvVr7zySmpqKsY4Pz//rbfeatOmzb2XPfv6+nbq1Gnx4sX0R9dLly7169fPz88PIaRWq7lNkHROTs5nn33Wq1evoKCgWrVq+fn59ejRY8mSJdQCxjgnJ2fkyJFkU6pGjRoNGzaM/jB7+fLlf/7zn/Xq1VMoFK1bt16wYAHdoL26YP/8889hw4YFBgYqFIqgoKBnn32Wbj8/derUv/3tb3Xq1FGpVM2bN3///ffJLrCmbkMOEAACQAAIAAEnJnDo0KGhQ4c2bNjQ3d2d7Mlo+fNfly9fHjduXLNmzRQKBZnFzZw5k/tn3ZSb5foUxrigoGDs2LHBwcG1atVSq9Wffvop97HBrKysXr16eXt735uM0Y2xeC2aNidiOsGziTEuLy9fsmTJ3//+94CAgFq1atWtW/epp56aN29eQUEBKVzdzGT79u09evTw9PT08fHp06fPf/7zH67xn376qUuXLl5eXs2bN1+6dCl33osxJs8VLl++vEWLFgqFok2bNuvXr+dWp+nt27dX98LllJQUhNDChQtpYUgAASDAigDoU6xIgh0gAASAABAAAkAACAABIAAEXJpAQkKC6Q4JFhI5fvx47dq1NRoN3XnAwopQzEIC1e17ZWF1KAYEgIC9CYA+ZW/CYB8IAAEgAASAABAAAkAACAABVyFANpD64osvRAS8b98+lUrVv39/0+0mRViDKjwCoE/xgMAhEHA0AqBPOVqPgD9AAAgAASAABIAAEAACQAAIAAEgwJgA6FOMgYI5IMCaAOhTrImCPSAABIAAEAACQAAIAAEgAASAABAAAkAACAABawiAPmUNLSgLBIAAEAACQAAIAAEgAASAABAAAkAACAABIMCaAOhTrImCPSAABIAAEAACQAAIAAEgAASAABAAAkAACAABawiAPmUNLSgLBIAAEAACQAAIAAEgAASAABAAAkAACAABIMCagLPpUwaDIScn5/bt20XwAQJAAAgAASAABICAnQncvn07JyfHYDCwnqFJZA8mTnYeIGAeCAABIAAEgAAQ+B8B4YmTs+lTOTk5CD5AAAgAASAABIAAEJCQQE5OjkR6EutmYOIk4TCBpoAAEAACQAAIAIEqAtVNnJxNn7p9+zaJ9n8CHaSAgMMTWBQc/CVCi4KDHd5TcBAIiCcQHLwIoS+DgxeJNwE1gYDjESD6zu3bt1kLRxLZg4mT440p8AgIAAEgAASAgNMSEJ44OZs+VVRUhBAqKiqSaFr3aDNGo7GwsNBoND6a7fxHELiNfRwXErIAobiQEBvtSFYdelwy1A7SEJMeDwmJQ2hBSEicgwRliRtMArekIUcrA4Fb3iM1O/Gw3M/qSkrgv8sOp+qYi84HkqLRcSsCRi4NW9JA0hZ6tC5gpChsTABJGwGS6hJgFJ54gD7FpB8fGNHpdBkZGTqdjqVROdiCwG3spTXdu8eFhKzp3t1GO5JVhx6XDLWDNMSkx7t3XxMSEte9+xoHCcoSN5gEbklDjlYGAre8R4SnWZbbqamSEvjvssOJeZ8CSSZIASMTjBhjIMmEJGBkghEGpIwwCk88QJ9i1ZVVdlz2/gKBsxxGcrAFPS6HXmLpI/Q4S5pysAU9bnkvCU+zLLdTUyUl8N9lhxPzPgWSTJACRiYYXfmLDyuAxA4MSFY8gSQTkhJgFJ54gD7FpB8fGJGgO1m6y84WBM6OpTwsQY/Lo5/YeQk9zo6lPCxBj1veT8LTLMvt1FRJCfx32eHEvE+BJBOkgJEJRtCnACMrAqzswKXNhKQEGIUnHqBPMenHB0b0en1WVpZer2dpVA62IHA59BJLH6HHWdKUgy279rhery9z1E9xcfGxY8eKi4sd1UF7+QWBm5Kt7o+78DTL8a9vCfy36w3E8Qkz9BBIMoEJGJlgxBgDSSYkASMTjDAgZYRReOIB+hSrrgQ7QAAIAAEgYB0Bo9GYm5ubDR8gIBMCubm5pq9AEZ5mWXdJ1ERpuftfE8ygTSAABIAAEAACQEAkAeGJB+hTIrGarWYwGPLz8w0Gg9mzTpwJgdvYub+MHv3DK6/8Mnq0jXYkqw49LhlqB2mISY+PHv3LK6/8MHr0LzQoIk5ptdrS0lLT5SqOkFNaWnrnzh2Hdc9+iCBwHtvS0lKtVpudnZ2bm0sHMEkIT7N4hR3wUAL/mdxAHBCd9C4BSSbMASMTjBhjIMmEJGBkghEGpIwwCk88QJ9i1ZVVdiR4XJOlu+xsQeA2sowLCVmAUFxIiI12JKsOPS4ZagdpiEmPh4TEIbQgJCSOBKXX67Ozs7VarYPEaNYNo9F49+5d0yUzZgs7UyYEbrY3iUTFe9BPeJpl1o5DZUrgP5MbiENBqylngCQT8oCRCUZX/uLDCiCxAwOSFU8gyYSkBBiFJx6gTzHpxwdGJOhOlu6yswWB28gS9CkbAUpWHYa6Lah5+lRZWVl2dnZpaaktNu1dF2QaexN2NPvCPV5aWpqdnV1WVsZ1W3iaxS3pmGkJ/HfZOyfzHgeSTJACRiYYQZ8CjKwIsLIDlzYTkhJgFJ54gD7FpB8fGJGgO1m6y84WBG4jS9CnbAQoWXUY6ragNqtP8b7q22LfHnWF1Qp7tOggNiFwsx1BRFXeoBWeZpm141CZEvjvsndO5h0NJJkgBYxMMII+BRhZEWBlBy5tJiQlwCg88QB9ikk/PjBCHlfhrfxn2YCj2oLAbewZ2elT0OM29rjsqjPpcZnqU6Wlpa75fB8Ebnqdgj5lysSSHCY3EEsacvoyQJJJFwNGJhjJ69Kys7Nd8IsPK4DEDgxIVjyBJBOSEmAEfYpJT4ERIGBHArLTp+zIAkw7LwE56lPO2xsQmRgCoE+JoQZ1gAAQAAJAAAgAASDwkADoUw9J2P//BoMhJyfHNd/fB4HbMr5kp0/BULelu+VYl0mPO6w+FRkZiRAaM2YMt2uioqIQQpGRkRUVFfZeP1VRUTF//vyuXbt6e3v7+/t36tRp+vTp165d4/ojZfo///mPu7v7c889Z+/ApQzKwraMRqNAj4M+ZSFGXjEmNxCeTdc8BJJM+h0wMsFIXpfmmvN/VgCJHRiQrHgCSSYkJcAI+hSTnrLIiASPa1rkh+SFIHAbkctOn4Iet7HHZVedSY87sj7VpEmT2rVr083ay8rKAgICmjZtGhkZae/395WXl/fu3TsgICA2NvbIkSPnzp1LSUkZO3bs1KlTTcdJRUWFaSbznHfeeWfixIk+Pj6XLl1ibtzBDQpvvAX6lLjuY3IDEde0k9UCkkw6FDAywQj7TwFGVgRY2YFLmwlJCTCCPsWkpywyIkF3WuSH5IUgcBuRgz5lI0DJqsNQtwW1I+tTL730UseOHdetW0cCXL9+fceOHV966SWqTxmNxnnz5jVr1szT07NTp06bN28mJfV6/ciRI0NDQz09PVu1ahUTE0MRRUZGvvTSSwsWLAgKCqpbt+64ceMqKyvpWZqYM2eOu7v70aNHaQ5J0LVLGo1m/Pjx77//fr169Xr37o0x3rdvX1hYmFKpDAoK+uSTT3Q6HamiVqsXL15M7XTu3Dk6OpocIoSWL1/ev39/T0/P0NDQTZs20WK8RHFxsZ+f36lTp4YOHfqSbI6WAAAgAElEQVT555/zzjr9IehT9uhil71zMocJJJkgBYxMMII+BRhZEWBlBy5tJiQlwAj6FJOessiIBN1pkR+SF4LAbUQO+pSNACWrDkPdFtQOrk8tWrSoT58+JMA+ffosXryYq09NmzatTZs2KSkpf/31V3x8vEql2rdvH8a4srJyxowZmZmZFy5cWLdunbe3d1JSEjESGRnp7+8/duzYU6dO7dixw9vb+7vvvjMF2KlTp+eff940n+ZoNBpfX98pU6acPn361KlTV69e9fb2Hjdu3KlTp5KTk+vXr09FKGF9ql69eitXrjxz5sxnn33m4eGRnZ1Nm+AmVq1a9be//c1oNG7atCk0NJTKZNwyTpwGfcoeneuyd07mMIEkE6SAkQlG0KcAIysCrOzApc2EpAQYQZ9i0lMWGTEYDOfPn3fN/acgcIuGSDWF0j76KOWdd9I++qia8w6XDUPd4brEzg4x6fGPPkp7552Ujz5KI86afVRq4cLDISFx1f0bPHgbN9DBg7dVVzIkJG7hwsPcwgJpstDp5s2bKpXq4sWLly5d8vT0vHnzJtGnysrK7t696+npeejQIWrknXfeeeONN+ghTYwbN27o0KHkMDIyUq1W0xcbvfrqq6+99hotSROenp4TJ06kh0OGDPG5/+nZsyfJ1Gg0Xbp0oQWmTZvWunVrKhstW7bM19eX/N0R1qfGjh1LjfTo0SMqKooechNPPvlkTEwMkWnq16//66+/cs86fdpoNJaVlVG8vHjNDlrhaRbPggMeSuA/kxuIA6KT3iUgyYQ5YGSCkew/5Zrzf1YAiR0YkKx4AkkmJCXAKDzxQEzCcBwjwtE6jp/gCRAAAkDAxQmY/aofHX0QoQXV/YuIePD8HUEXEbGuupIILYiOPmghYaJPYYz/8Y9/3HuiLTo6mmhMRJ/CGGdmZiKEiGxE/qtQKMLDw4n9uLi47t27169f38fHR6FQhIWFkfzIyMgBAwZQHyZOnPjMM8/QQ5rw9PScNGkSPczNzT137tyECRPuPZ1HMjUazbvvvksLvPzyy2+99RY9zMrKQghdvnwZYyysTyUkJNBakydPfvrpp+khTZw+fbpWrVrXr18nOePHjzcrw9HyrpYwO2jlPvGQu/+uNgghXiAABIAAEAACsiYgPPEAfYpl50ogN7J0l50tCJwdS3lYgh6XRz+x89IePW72q34Nrp/CGO/cuTP0/mfXrl0YY7p+KiMjAyG0b9++c5zPlStXMMZJSUmenp7Lli07evTouXPnRo8eTXUlKnuRfpg0aZJGozHtk44dO5o+3xcdHU3taDQaroA1ZMiQt99+m9o5duwYQog406xZs0WLFtFT7dq1o4/+IYR4+pRZsWzKlCkIIY+HH3d3d5VKdevWLWrT6ROwfsoeXWyPG4g9/HR8m0CSSR8BRiYYYf0UYGRFgJUduLSZkJQAI+hTTHrKIiMSPK5pkR+SF4LAJUdeww1Cj9dwB0jevD163Kw+JXlkVQ1SIUmv1ze6/yEP5dH9p4qKilQq1Zo1a0zde++995599lma36dPH6orUbPkbHX61OzZs033RxfQp0yf7/Pz8yPP94WHh0+ZMoU0V1RU5OXlxdWnuA/0RUREcA9JFZ1O17Bhw4ULF544ceL48eO///778ePHW7VqtWTJEhqg0ydg/yl7dLE9biD28NPxbQJJJn0EGJlghP2nACMrAqzswKXNhKQEGEGfYtJTFhmRoDst8kPyQhC45MhruEHo8RruAMmbt0ePO6A+hTEuuv8hgKk+ZTQap0+fXq9evdWrV58/f/7o0aNLly5dvXo1xjgmJsbf3z8lJYXsO+7v72+tPlVWVtarV6+AgICYmJg//vjjwoULKSkp4eHh3bp1I27w1k+R/dHHjx9/6tSp7du3c/dHnzp1alBQ0P79+0+cODFkyBBfX1+uPlW/fv1Vq1adOXNmxowZ7u7uJ0+e5I2j5ORkpVJ5+/ZtjDGVaaZNm8bd/YpXxfkOaeBmQzM7aIWnWWbtOFSmBP7b4wbiUAwlcwZIMkENGJlgBH0KMLIiwMoOXNpMSEqAUXjiAc/3MenHB0Yk6E6W7rKzBYHbyHJV69axfn6rWre20Y5k1aHHJUPtIA0x6fHWrVf5+cW2br2KBGX2q36NxMtb6ER94OpTRqMxNja2devWCoWiQYMGzz//fHp6Osa4vLz8rbfeql27dkBAQFRU1NSpU63Vp4iRuXPndu7c2cvLS6VStWnT5v333yeP7GGMefoUxnjfvn1hYWFKpTIoKOiTTz7R6XTE56KiomHDhvn7+zdp0mT16tX3POHqU8uWLXvuuedUKpVard6wYQMNkyYGDRpEN8yiMs0ff/yBEPrjjz9oMedO0MDNhml20ApPs8zacahMCfxncgNxKGg15QyQZEIeMDLBCPoUYGRFgJUduLSZkJQAo/DEA/QpJv34wIjBYMjJyXHN9/dB4LaMpLiQkAUIxYWE2GJEyrow1KWk7QhtMenxkJA4hBaEhMSRiMx+1XeEYLk+GI3GioqK6t7mxi3p4GmEUHJysuVOOk3glodMSgoHbnbQCk+zrHVA+vIS+M/kBiI9GQdsEUgy6RTAyAQj2X/KNef/rAASOzAgWfEEkkxISoBReOJhd31q2bJloaGhKpWqW7du+/fvN6W2devWvn371q9f38/PLyIiIiUlhZaJj49Hj37KysroWbMJ4WjNVoFMIFDjBGSnT9U4MXBAjgTkqE/JkbNZn63Vp8wagUzQp2AMAAEgAASAABAAAkDAFgLCio199amNGzcqFIqVK1dmZ2dPmjTJx8eHvAObG8+kSZPmzZuXmZl59uzZTz/9VKFQHD16lBSIj4/39/fP43y4Fc2mhaM1W4Vhpl6vz87OJhvrMjTr+KYgcBv7SHb6FPS4jT0uu+pMelyO+pTRaCwtLXXN9VPOEbi115pwj4M+ZS1PUp7JDURc005WC0gy6VDAyAQjxhhIMiEJGJlghAHJDOONG5f+/W+7ChrCio199anw8PCxY8dSWG3atJk6dSo9NJto167dF198QU7Fx8fXrl3bbLHqMoWjra4Wq3wJHtdk5SpbOxC4jTxlp09Bj9vY47KrzqTHZapP3b171wn0KWuHnPA2TNZak1F54cBBnxLXlUxuIOKadrJaQJJJhwJGJhhh/ynAyIoAKztwaTMgeeaM8YknDEql7uBBBtaqMSGs2NhRn6qoqPDw8Ni2bRt1bOLEib1796aHpgmDwdCkSRP6Kuv4+HgPD4+mTZuGhIQMHDiQrqviVSwvLydvXCoqKsrJyUEIFRQU6O5/yFZQBoOBHOp0OpKj1+sFcshXEVpAp9MZ73+EczDGlZWVhw4dKi8v1+l0RHTkNm2aI7F7915BRUMwdcY0x3L3ysvLaeCi6dnPPW53s3WPBm4LPb1eT/Uptu4JdLflnWuWHg3cwktDjp1rlh4JvKKigmy7QMvY9cbiCPRI4JWVlVxnyLbc3BzTC4Gbw9WnDAbD3bt3T548SRfpkLFE/0teIUcPyaXBPbQkbYkR4TLET9O2hGuZljebY4kR+5Ux6xLNJIEbDAaaY7YLaso9+zkjHHhpaSkdtPTyLygoQAgVFRXxJidyORSeJjKJAr4zMMEIcgBgZEWAlR24tJmQBIxMMMIdkgHG1FQcEIARKg8K0j18oI2BWRMTwhMPO+pT165dQwj95z//oS7NmjWrVatW9NA0MX/+/Lp16+bn55NTGRkZa9euzcrKuve27KFDh3p5eZ09e9a0VnR09KO7VKHU1NSM+5/z589jjM+fP08OMzIycnJyMMbZ2dk0hzSXlZVFcwoLCzHGmZmZNKekpITcO2iOTqcrKSmhh5mZmRhjrVb7008/HTp0KCMjIysrC2Ocn59Py2RnZ2OMc3JyaI7E7hUWFtKm2bp39OhRGrhoevZz7/GdmxCbsTmR/tMlxJasWUIPMzetxwkxhWuX05yspDU4ISZ//YpDmxN/2rb10ObE7I2rcUJMTuLKB2UyMqzq3NgGDRYgFNuggUT0Niee37AKJ8Sc37CKBpWTuBInxGRvXE1z8tevwAkxWUlraE7h2uU4ISZz03oaeMmaJbqEWDquMjIyzF4aNdm5Oh1D9w4dOvTTTz+RG5FkNxZHoEcCLy8vN73vWe5egwaxCC1o2HAJvS0fO3ZMq9USva+0tPTuw09lZSXGuKSk5GHGXaKFFRcX0xy9Xk+WutAco9Go1+vpYXFxMZms0JySkhLyQwLJ0d66c7OgOE+ru1FQqr11h/y7UVByP6eE5hTcKrqurbxZUExz8gvK8rS6R3PKMcZs3bt7925paSnGuKKigoZANmEsKyujOfajd/duFXbaEI9ejbsn3Lmi3SO0qxt7Wq322LFjt27d4k4JUlNTQZ8ynZtxc+DbF5eGLWkgaQs9WhcwUhQ2JoCkjQBJdcDIBCPoU7ZiXLECe3hghIwREUd27aLvhrbVrLn6NaxPHTp0iHr11VdftW7dmh7yEomJid7e3r/++isvnxwaDIbOnTtPmDDB9KzjrJ/S6/W5ubkVFRWutn6qsrKSBi6XFUD0p++q1QEJMbqEWPrPmBDDy8GP5ugTYnFCjCEhpiIhNnf9ioqEWJrzwMjDlXrcBXQCS2ykXj+VEGtIiCEh0KhJjp7DwTTHeL+WLiGWBv6AFaVpbrEhWWFBi3AX1JBM0xwbl3fRtsjSD3podi2kVe5VVFTk5uaSW7aFnUtbl+Wl8XDRJQmcSEI0Irmvn7qurbyurczT6vLuJx4e8nOIGkXOPiyjy9PqeDmmK4m4K4/Mpk2rSJlj1iWaaTAYyHI5mmO/JUtmLXPbNZu2H6vKysrqFo7B+inTOZglOQaDIT8/n9zYLSkPZaojACSrI2NVPmC0CpdAYSApAMfyU4DRclbCJYGkMJ9qz+p0eNIkjFDVv+HDDSUl9v6TXWP6lFXP923cuNHLy2vnzp3VgsP43Xff7d+/v0ABjLFwtMJ14azrErgvu2CG/7USJdWnrKwntjjDSIkpsY5APZciwH2+D2NsdisfKYHcV6aqlCYm/6T0HNqqKQJmB63cJx5y97+mBgO0CwSAABAAAkBA9gRu38YvvPBAnJo1CxuNEkQkPPGw4/N9GOPw8PCoqCgaZNu2bc3uj56YmOjp6ZmcnExLmiaMRuPf/va3t99+2/QUN0c4Wm5Je6T1en1WVhZZDGIP+w5rU/aBi9Vr9AmxWUlryOKpR+QtK7tKdvoUP3Ar45VvcdkPdbHomQQuR32KPNn3cJmVkJIlFq2D1jMajSUlJWRlk4O6aB+3hAMHfUocdSY3EHFNO1ktIMmkQwEjE4zkdWmu+cWHFUBiBwYkK55A0mqSFy7gdu2qxCkvL7xli2QDUlixsa8+tXHjRoVCsWrVquzs7MmTJ/v4+Fy6dAljPHXq1BEjRhAEiYmJtWrVWrZsWd7Dz+3bt8mpzz//PCUl5a+//jp27Njbb79dq1at33//XZi7cLTCdW0/67LPD8s+cLH6VNXWS5sTdfcf97NFnzq/Y8fpTZvO79hh+yC0yILYeGmM/MAtatUZCsl+qIvtBCaB79hxftOm0zt2VG0LKJf1U9e1ldpbd1xTn4IXF5peLqBPmTKxJIfJDcSShpy+DJBk0sWAkQlG2O4HMLIiwMoOXNrWkTxwANevXyVONWqEjxyhdSXAKKzY2FefwhgvW7ZMrVYrlcpu3bqlp6eTyCMjIzUaDUlrNBre7uaRkZHk1OTJk5s2bapUKhs0aNCvXz/uVlaUIC8hHC2vMPNDCbqTuc9MDMo+cLF6DV+moXaYYLWfEeqn2AQ/cPu56mCWZT/UxfK0R+Bmv+qLdVBMPUse6wN9SgxZOdchm+5Xt3DM7KCt2YmH7bAl8N8eNxDbA5ejBSDJpNcAIxOMoE8BRlYEWNmBS9sKkgkJWKmsEqe6d8dXr3IrSoBReOJhd32KG60EaeFo7e2ABN1p7xDE2Zd94KxkGmpHHEfJalE/xSZAn5KsrxykIXtc42a/6ksZL9Wnhr0+AiE0InIUzcnT6iLfHoMQGvb6CAnWT1VUVMyfP79r167e3t7+/v6dOnWaPn36tWvXpKRB2oqMjKS/GNWpU+f555//888/pXejBlsEfcoe8O1xA7GHn45vE0gy6SPAyAQj6FOAkRUBVnbg0raIpMGAp059sOHU0KH4/rutuRUlwCis2IA+xe0OW9NGo7GwsLC6311tte7A9WUfuFiZxpgQU7h2OXmrHX32rSrh4B+x8dIY+YE7eLzs3JP9UBeLwh6BO5Q+1Sikib9/7Qs5d4hEdfHq3dq1A0IaNx32+oj8gnKublVdWixaXF5e3rt374CAgNjY2CNHjpw7dy4lJWXs2LFmt2usqKgQ3ZAlFSMjI/v375+Xl5ebm3v48OGBAwc2adLEkopOU8Z4/52V1f0dNztohadZjk9GAv/tcQNxfLD28BBIMqEKGJlgJC9Rdc0vPqwAEjswIFnxBJKPJ1lcjF9++YE4NX06NhhMq0iAUXjiAfqUaadAjusRsFmvocLNg4SVCPOOHLl26FAe59FfKw1YWbym47XSXSjuJASOHMk7dOjakSN5JB6zX/WlDJUqTcNeH/H8Cy+2bddhaVwCyVy2Yk3bdh2ef+HFYa+PIDm5Nys/mzGnqbqZp6dnu/YdV36/keRfzS9/Y/hbTZqGenp6tmrVKibmf/J0ZGTkSy+9tGDBgqCgoLp1644bN66ystI0wDlz5ri7ux89epR3ikokGo1m/Pjx77//fr169Xr37o0x3rdvX1hYmFKpDAoK+uSTT3Q6HamrVqsXL15M7XTu3Dk6OpocIoSWL1/ev39/T0/P0NDQTZs20WLcBPGZ5uzfvx8hdOPGDZrj4gmzg1Z4muX4xOTuv+MTBg+BABAAAkAACNQ8gZwc3KVLlTilVOK1a2vQH+GJB+hTLLtGp9NlZmbSrwosTTu2LdkHLlav0SXEZm5ab/v+6LJ7fx8/cMcenwy9k/1QF8uCSeAO+/4+ok99/uWCp3o/S1Snp3o/+8VXXxN9Snvr7nVt5cT3p7Z8ok3ipl2/HTkTs+TfKpVq6w978rS6K3mlH3z02c+7D124cGHdunXe3t5JSUkEc2RkpL+//9ixY0+dOrVjxw5vb+/vvvvOtAc6der0/PPPm+bTHI1G4+vrO2XKlNOnT586derq1ave3t7jxo07depUcnJy/fr1qQglrE/Vq1dv5cqVZ86c+eyzzzw8PLKzs2kTNEH1KaPReP369dGjR7ds2dJg7uc1WsXJEkajsbi4mIqDvOhAn+IBsfCQyQ3EwracuxiQZNK/gJEJRvJ8n2t+8WEFkNiBAcmKJ5AUIpmZiYOCqsSpwEB86JBASQkwgj4lwJ/xKQke12TsMSNzsg/cBn2Kyfv75KhPPRI4o4Hk+GZkP9TFImYSuCX61OGFC+NCQqr7t23wYG4E2wYPrq5kXEjI4YULuYVN00SKytPqiD713zN5KpUq8+i5zGPnPT09/3sm76E+deevy4Wenp47ft5Pq/xz+Nsv/+N1epinfbCCady4cUOHDiVtRUZGqtVqvV5PDl999dXXXnvN1A1PT8+JEyfS/CFDhvjc//Ts2ZNkajSaLl260ALTpk1r3bo1FVCWLVvm6+tLJCRhfWrs2LHUSI8ePaKioughTURGRnp4eBAHEELBwcF//PEHPesKCdh/yh69zOQGYg/HZGcTSDLpMsDIBCPsPwUYWRFgZQcu7WpJJiVhT88qcapDB3zpUrXF7p+QACPoU8JdwPKsBN3J0l12tmQfOOhTVhKA/dHZXT3ysMTkGrdEnzoYHb0Aoer+rYuI4PJaFxFRXckFCB18+Ggbtwo3TdUlok/laXUDBr380cczPpzyr4GD/5Gn1VF96ufdhxBC3j4+9J9CoejaLYxYmLtgaafO3erXr+/j46NQKMLCwkgrkZGRAwYMoC1OnDjxmWeeoYc04enpOWnSJHqYm5t77ty5CRMm3Hs6j2RqNJp3332XFnj55ZffeustepiVlYUQunz5MsZYWJ9KSEigtSZPnvz000/TQ5qIjIzs27fvuXPnzp49m5aWFhkZGRgYeOlxUxla3QkSoE/ZoxOZ3EDs4ZjsbAJJJl0GGJlgBH0KMLIiwMoOXNpmSBqN+PPPH2w4NXAgvnPHTJlHsyTACPrUo8jteSRBd9rTffG2ZR+4leoM3W2KL9NQO1ayhPVTVgKrseKyH+piyTEJ3BJ9qgbXT+VpdWsTf2jSNLRJ09B1G37k6lM//XIQIbT1hz2HMk/Rf0f+vJCn1X3770RPT8858785evTouXPnRo8eTXUl+qwcoT5p0iSNRmPaAx07djR9vi86Opra0Wg0XAFryJAhb7/9NrVz7NgxhNCVK1cwxs2aNVu0aBE91a5dO/roH0KIp0+ZFcuoz0Sm0el0Pj4+06dPpzadPgH6lD26mMkNxB6Oyc4mkGTSZYCRCUbQpwAjKwKs7MClzSdZWopff/2BOPXhh/jhin5+sUePJcAI+tSjyO15ZDQaS0pK6GMX9mzKsWzLPnCqK1mZMCbElKxZYvv7+2SnT/EDd6zxaEdvZD/UxbJhErgl+pRYB8XUM10/dTW/PCioUVBQo6v5Ve/sI+unrmsrzl28pVKpvlkeT6vQxMh3x/39qWfo8319+vShuhLVeohz1elTs2fPNt0fXUCfMn2+z8/PjzzfFx4ePmXKFNJcUVGRl5cXV5/iPtAXERHBPaT4qM9Go1F//+Pn5/fBBx/QAk6fIIFX93cc9p8SNwCY3EDENe1ktYAkkw4FjEwwkvf3ueYXH1YAiR0YkKx4AslHSObl4R49qsSpWrXwv//9yCnBAwkwgj4l2ANMTwq/l5ppU45lTPaBWylL0fVTxoQYXUKsa+pTjwTuWOPRjt7IfqiLZcMkcMfXp/K0urMXC85eLCDy00N9qjJPq5v0wad16taLXboq4/Dp3XszZ8+LjV26Kk+rmzlroZ+ff+KmXWTfcX9/f2v1qbKysl69egUEBMTExPzxxx8XLlxISUkJDw/v1q0b6S7e+imyP/r48eNPnTq1fft27v7oU6dODQoK2r9//4kTJ4YMGeLr68vVp+rXr79q1aozZ87MmDHD3d395MmTpsMhMjKyf//+eXl5ubm5J0+ejIqKcnNzS0tLMy3prDnGhx+zAYI+ZRbLYzOZ3EAe24orFACSTHoZMDLBSPQpnU5XnaDPqhWntwMDklUXA8n/kczKwk2aVIlTdetiK2dxEmAEfep/PWXvlATL4ewdgjj7sg9crD4Fz/c9kOrEjRsZ1pL9UBfLnEngstCn6MIoun5Ke+vOdW1l7s3KL2cvatGytUKhqFe/wdPP9tv24948re7SteLX3njT3792QEBAVFTU1KlTrdWnMMbl5eVz587t3Lmzl5eXSqVq06bN+++/Tx7Zwxjz9CmM8b59+8LCwpRKZVBQ0CeffEJfGltUVDRs2DB/f/8mTZqsXr36nidcfWrZsmXPPfecSqVSq9UbNmwwOxYiIyPRw4+fn19YWNiWLVvMlnTWTHi+zx49y+QGYg/HZGcTSDLpMsDIBCM83wcYWRFgZQcu7Qckf/gB+/hUiVOtW+Nz56zFKwFG0Kes7RTx5SXoTvHO2bOm7AMHfcpKAnxhzp6jy6Fsy36oi6XJJHCH1ae4mhQvfV1bSfQpXr7poVi0EtVDCCUnJ1vemLBMY7kd2ZUUDhzWT4nrUCY3EHFNO1ktIMmkQwEjE4ygTwFGVgRY2YFLGxuNeN487OZWJU717Ytv3RLBVgKMoE+J6BeRVSToTpGe2bma7AO3Up2hz/fxZRpqx0rgstt/ih+4lfHKt7jsh7pY9EwCB31KLH4G9UCfshAi6FMWgrKqGJMbiFUtOmthIMmkZwEjE4ygTwFGVgRY2XH1S7uiAr/9dpUyhRAeNw5XVooDKwFG0KfEdY2YWhJ0pxi37F9H9oFTXcnKBF+modWtZA76lJXAaqy47Ie6WHJMAgd9Six+BvVAn7IQIuhTFoKyqhiTG4hVLTprYSDJpGcBIxOMoE8BRlYEWNlx6Uv75k381FNVypS7O16yxBakEmAEfcqWDrKurgTbiVnnkFSlZR841ZWsTLDaH73izp3yoqKKO3ck6jErw6TrxWiCH7hEftd8M7If6mIRMgn8zp2KoqLyO3cqiBdmH5US66CYeqbP6JnNua6t2h/9sf/EeODAdR7uEm50YB/t4ppw4GYHrfA0yy5eMjUqgf9MbiBMg5arMSDJpOcAIxOMsD86YGRFgJUd1720T57EzZtXiVP+/jglxUaeEmAUnnggGwNwtOrC0drbWwlex2jvEMTZl33gYvUaY0JMyZoltr+/Txx28bXExsvVpx4JXLwrMqsp+6Eulrc9Ajf7VV+sg2LqPVZyIgWuayssKSnGAweuYzQa9Xq9C76VSThws4O2Zicetg8iCfy3xw3E9sDlaAFIMuk1wMgEI9GnSkpKXPAvBSuAxA4MSFY8XZRkSkqVLIVQlURl7tXM1uKVAKPwxAP0KWu7TKi8BMvhhJqvuXOyD1ysXsPq+T6pu05svFSf4gcudQA11p7sh7pYcvYI3OxXfbEOiqlnierkNPujWwtI+DE3a63JqLxw4GYHrfA0y/Fjl8B/e9xAHB+sPTwEkkyoAkYmGOH5PsDIigArOy53aRuN+Jtvqh7oQ6jq4b6bN5mQlACj8MQD9Ckm/fjAiATdydJddrZkH7hYvYYv01A77NjaxRL1U2yCH7hdvHREo7If6mKh2iNws1/1xTooph7oUwLUhGUagYpyPyUcuNlBKzzNcnwgEvhvjxuI44O1h4dAkglVwMgEI+hTgJEVAVZ2XOvSrqzEUVFVyhRC+K23cHm5jDAKTzxAn2LVlVV2XOuq4JCTfeCsZBpqhwPHkuThhQsPRkcfXrjQksIMylA/xSZAn2LQC2qiJVsAACAASURBVLIyweQaX7jwcHT0wXv/JaGb/aovJRXQpwRoC8s0AhXlfko4cLODVnia5fhAJPCfyQ3E8UlK4CGQZAIZMDLB6MpffFgBJHZgQLLi6UIkb93CfftWKVNubnj+fGxkuVuoBBiFJx6gT7G6Iqrs6HS6zMxMnU7H0qgcbMk+cBtkmsxN63UJsfTBtwcJK3tNju/veyRwK+OVb3HZD3Wx6JkELtv39921ZIt0sWgdtJ7RaCwuLnbBXUWEAwd9Stx4ZXIDEde0k9UCkkw6FDAywejKX3xYASR2YECy4ukqJM+exa1bV4lTPj54+3ZW9KgdCTCCPkVpQwIIVENArD7Fl6WonWraqS5bdvoUP/DqAoN8IMAhIEd9ypI1VqQMJ1BIOi0B0KectmshMCAABIAAEAACjk8gLQ3XqVMlTjVpgrOyHN9fsx6CPmUWi10yjUZjYWGha/7gLO/Aqa5kZcKYEFO4drnt7++TnT7FD9wu15MjGoVr3JZekak+lV9QbolKZQsZB6wrwduFHTDqx74u3aH0qTt37kyaNKlp06aenp49e/bMzMzEGFdWVn788ccdOnTw9vYODg4eMWLEtWvXhFELTxOF61p41mXvnBbysbwYkLSclUBJwCgAx6pTQNIqXNUVBozVkbE23/lJrlyJa9WqEqd69MB5edbysaS8Xo/37jWuXFm8d69Rr7ekhpgywhMPeL5PDNPq6kjwuGZ1TddsvuwDt1KWoquH+NswUTtW9ofs9Cl+4FbGK9/ish/qYtEzCdyR9ak/T+a8M/q90GYtVCpV/QaBYT2enLtg6V9Ximrq/X2zZs1yd3efM2eOQI8hhJKTk0mBysrK1157LSgo6M8//8QYq9VqdP/j6empVqtfffXVPXv2UFMXL14kZ7n/zcjIoAWITHP37l3X/LlFIHCH0qeGDRvWrl279PT0c+fORUdH+/v7X7169fbt23379k1KSjp9+nRGRkaPHj26d+/O7VnTtPA00bS8iBwmNxAR7TpfFSDJpE8BIxOMsP8UYGRFgJUdZ7609Xr8wQdVyhRC+I03cGkpK2hcO1u34saNHzSCUFV661bueWZp4YkH6FPMQLvybVr2twOqK1mZ4Ms0tLqVwwr0KSuB1Vhx2Q91seSYBO6w+tRvR84EBga1fKLNt/9OTD90fO/+oyvjk/r0fWH12m2m+tSVvFKzy6nEojVfr2XLllOnTn3iiSfMn76fS/WpkpKS/v37N2/e/Pz586S8Wq2eOXNmXl7e5cuX09PTR40a5ebm9tVXX5GzRJ9KTU3N43wqKyu5bQlvE84t6WRp4cAdR58qLS318PDYuXMn5d+5c+fp06fTQ5LIzMxECF2+fJmXzz0UniZyS4pOM7mBiG7dmSoCSSa9CRiZYHTlLz6sABI7MCBZ8XRaknfu4EGDHuhGX3zBdjd0Cn/r1qrN1okCRv7r5laVYw+JSnjiAfoU7RQGCae9Kh7HRvaBU13JygToU+L2g3/cgHLc87If6mLRMgncYfWpp5/t16hR478u3+YJT7k3K4k+hRCau2Dp8/0He3l7f/DRZ3la3dz5S9ShzRUKRYsWrb5ZHp+nrXotBtF9jh07RjAXFhYihNLS0jDGaWlpCKGdO3d26tRJpVKFh4cfP368ut7Yt29fSEhIZWVlo0aN0tPTqytG9KnCwsJevXp17NgxNzeXllSr1YsXL6aH99ZDzZgxw93d/fTp06Z+covRtLBMQ4s5X0I4cMfRp+7cuYMQSk1NpV0QERGh0WjoIUn8+uuvbm5uRUVFvHzuofA0kVtSdJrJDUR0685UEUgy6U3AyAQj6FOAkRUBVnac89K+dAl37FilG3l64qQkVqx4dvT6R1ZOUZXKza1qnyvmD/oJTzxAn+L1jk2Her0+KytLz7wPbXJKisqyD9xKWYo+36dPiM1KWqN3vff38QOXYpQ5RBuyH+piKTIJXFifMhqNpeUGe/yr7iE1okadPHvdzc1t2r9m8cQpcnhdW3mzoBghVL9B4KLY7347cibz2PlVCZsVCsWc+d8c/O1k9Mz5Hh4eW5J/NdV9TPWptm3b7t69+/jx44MGDQoNDeUtWaKdM2LEiI8++ghj/OGHH7755ps0n5dACMXFxXXq1Klnz563bt3injXVpwoKCtzc3ObNm2fqJ7ciTRuNxpKSkurQ0WLOlxAO3HH0KYxxz549NRrNtWvX9Hr92rVr3dzcWrVqxe2RsrKy7t27Dx8+nJtJ0uXl5UUPPzk5OQihgoIC3f2PwWDAGBsMBnKo0+lIjl6vF8ghQ4UW0Ol0xvsfklNRUXH06FGSyS1DN/wimWT6xG3aNMce7pHWuQ6THAd0j5CsqKggr4om+8QBPSKUEA68sWe2cysqKrKysmh5nU5nOtJMc1x87HFx0UuDDkjeTQPoUVyW3Fj0ev2xY8fIdW12NMLYozzp2CM5vJFGBqRer+f+HZE3vfR0Y2BglTgVFKQ/dIhyEP6bS4pZMvbolZuaqqealGlizx6WUwKdTldQUIAQqu7HM9CnTKdtkON6BMTqU1So4iesRCi75/tsjNdKPFDcSQgI61Ol5YZnoi7b419pedX3bdMPUaB2/XIQIbQqYTPVp+rUreft4+Pt4zN+wkckEyE0asxEWiAsvOfwEe/Qw8EvvdKn7wumuo+pPrVx40biRkFBgZeXV5K538GKioq8vb2z7r+T5dixY97e3tX+/UZIqVS2adOmpKSEF52pPoUxbtiwYVRUFPXTy8vLh/MhkzyeHTjkEXAofer8+fO9e/dGCHl4eISFhQ0fPrxt27bU4crKypdeeqlr165mx090dDR39zGyFCvj/oc8JXr+/HlymJGRkZOTgzHOzs6mOfn5+RjjrKwsmlNYWIgxzszMpDklJSXkp2yao9PpSkpK6CHZ0L2wsJDmkGGfn59Pc7KzszHGOTk5NAfcIyiAHh0SMPYICrg04NKA23JGRoYz/dU4+/nnBoUCI1TZoQPOybHr39wvvjhrKkvRnMWLr9NbLpMpQWpqKuhTdMJm34TBYMjPzycyrX1bcjDrsg9crD5lSIjJX7/CYFrdyg6SnT7FD9zKeOVbXPZDXSx6JoE7sj71/ZotVG/67ciZQ5mnunYLe3fMhDytLr+g7N76qaVxCbRAQECd2KWr6OHMWQubqptR3Ufg+T7uNkBdunT5/PPPTTskLi6uQ4cONL9Dhw7ffvstPeQmEEJDhw51d3dftGgRN5/sj857vg9jHBgYOG7cOOrnjz/+eI7z4VkwGo2VlZWuuX5KIHCH0qdIlxUXF5NHO4cNGzZgwACSWVlZOWTIkE6dOmm1Wl7PkkPp10/l5ubq9Xrueh9YASTil/CKiorc3FxYP8VdzSdiHUFFRUV+fj7XCG8VBqxhoYPT7Ho0uoaFDEiyFpi7YsWUp7zXsNzHQULgDhsRY8/sfc9gMFy/fh3WT5mu9zHNoWOPDFHeSKuoqMjLyzPc/9AxLMuxZzAYPv2U7AVleOklw507GGN7jD1YP2V2jsQ4U/hpRsaNmZhzzqdeTcI0zZB94KYCk2U5rPaf2jZ48LqIiG2DB5uytUuOZdHxF0lxavEDt4uXjmhU9kNdLFQmgQ8evC0iYt3gwduIF7yv+o72fF/PJ3u/O2YC3X+KK2BV6VPLvqf61Bdffa0ObY4xvnz5MkLo6NGjJMAbN27w9p/i6VNffPGFaYeEhYW5ubl5PPy4ubmFh4ebFsMYk/2nEhISPDw8FixYwC1jun5Kq9W6ubmRYrx9srgVaVp4GyZazPkSwoHzBi0Jv2YnHsSHW7du1a5dm0iZRJxq3779jRs3LOkgCfxncgOxJBanLwMkmXQxYGSCEfafAoysCLCy4ySXdnExHjr0wUblU6fi+w/ds0JUnR2y/xRvf3SEqvZHh/2nqoNmab4E0ywBV5zkqhCIsJpTsg+co7wIiDKmp/gyDbVTDShHyaZ+ik3wA3eUwOzuh+yHulhC9gjc7Fd9sQ6KqUcFJs0zzwUHh/D2RxfQp0yf7+v7XNW6ldLSUoTQrl27iDe7d+/m6VP0gb5bt255e3vTQ+r98ePH3dzc0tPTTzz8HDhwwM3N7cSJE7QMTdD3961bt87Dw4PsLUXOmupT//rXvzw8PM6dO0fXT9F1XtQgNyEs03BLOllaOHCzg7amJh4pKSk///zzhQsXdu/e3blz5/Dw8MrKSp1O9+KLLzZu3DgrK4u+nrGiokKgmyTw3x43EIGInPgUkGTSuYCRCUbQpwAjKwKs7DjDpX31Ku7WrUqcUijw6tWsyFhih7y/jytRwfv7LOH2+DISTLMEnHCGq0IgvOpPyT5wVjINtVM9K4c4Q/0UmwB9yiH6UUIn7HGNm/2qL2FMmOpTGYdPNwhs2PKJNitWrk8/dPxAxn+XLF/dILDhmKjJZtdPfb9mi0KhmLtg6X9+zyb7o2/d/uA1ahEREU899dTJkyfT09PDw8N5+lT79u1TU1NPnDjx4osvNm3a1FQ1mDRpUo8ePXgQnnzyycmTJ/My6fopkp+YmOjh4TFnzhxyqFarZ86cmZeXd+XKlfT09FGjRrm5uc2dO5ecJeunUlNTqX6Rl5dXVlbGbUJYpuGWdLK0cOBmB21NTTySkpKaN2+uVCqDgoLGjx9/+/ZtKj7y9pYiL5Gsrqck8N8eN5DqwnHufCDJpH8BIxOMoE8BRlYEWNmR/aV95Ahu1KhKnKpfHx84wAqL5Xa2bn3kLX5NmuCtWy2vbUVJ4YkH7I9uBcrHFtXr9dnZ2S64y6zsAxcr0+gTYrM3rrb9/X2PHVqMC4iNl64g4wfO2D/HNSf7oS4WrT0CN/tVX6yDYupRfSpPq8v675WR745rqm6mUCh8fHy7dgub8fm8v64U0ff3cZ/vy9Pq5s5fog5trlAoWrRo9c3y+DytjniQnZ0dERHh5eXVpUsX0/VTO3bsaN++vVKpDAsLI1tBc/2uqKioV6/e/PnzuZkY44ULF9avX99UzKLrp0j5pKSkWrVqzZo1i+w/RRQKpVLZtGnTYcOG7d27l5ol+hRPwtiwYQMtQPZ3KC0tdc39pwQCNztohadZXKqOmZbAf3vcQBwTpr29ApJMCANGJhjJhjiu+cWHFUBiBwYkK57yJrl5M/byqhKn2rfHFy6wYmKtHb0ep6bqFyy4mppqR0lDeOIB+pS1vQblnZGAzXoNFW4eJBwckqvF6+Dd4arumf2qLyUMrj5le1rY87S0NIQQec+UcEk468gEzA5a4WmWI4dDfJO7/45PGDwEAkAACAABIFAtAaMRf/XVgw2nXngBFxVVW9JZTghPPECfYtnPBoMhJyfHNd/fJ+/Axeo1hoSYnMSVtr+/T3b7o/MDZ3kZObQtuMZt6R7h/dFtsSyurmWaVOWNgtI8beVjCwv7IDt9ymg0VlRUuOb6KYHAQZ8SHufVnXXZO2d1QETnA0nR6LgVASOXhi1pIGkLPVoXMFIUNiZkSbKsDA8f/kCcmjwZ6x6sx7cRhS3VJcAI+pQtHWRdXdk/9WpduP8rLfvAxepT/G2YqJ3/sbEoFRcSsgChuJAQi0rbXoj6KTbBD9x2l2RiQfZDXSxnJoGHhMQhtCAkJI54YfarvlgHxdR7rOSUp9WR/aeuu6Q+dffuXdfUpwQCNztohadZYoamtHUk8J/JDURaKg7aGpBk0jGAkQlG2H8KMLIiwMqO/C7t69dxz55V4lStWnjFClYcbLQjAUbhiQesn7KxBx+pLkF3PtKewxzIPnBWMg21Y2XXgD5lJbAaKy77oS6WHJPAXVmfEgu+xuoJbxNeY27Zv2HhwEGfEtcDTG4g4pp2slpAkkmHAkYmGEGfAoysCLCyI7NL+/hx3LRplTgVEID37GEFwXY7EmAEfcr2brLUggTdaakr0paTfeBUV7IywV9GRKtbyR/0KSuB1Vhx2Q91seSYBA76lFj8NVBPWKapAYekalI4cNCnxPUDkxuIuKadrBaQZNKhgJEJRtCnACMrAqzsyOnS3rED+/pWiVNPPIHPnGFFgIkdCTCCPsWkpywyYjAYzp8/75r7T8k7cKorWZkwJMSc37DK9v2nZKdP8QO36PpwhkJwjdvSi3LUp/K0lTcKSmzff8oWbjVS12g0lpWVuebzfQKBgz4lbjS67J1THC6BWkBSAI7lpwCj5ayESwJJYT4WngWMFoJ6bDF5kDQa8cKF2M2tSpx69llcUPDYuCQuIAFG0Kck7lNoToYErJSl+G/rM61uJQPZ6VN8AlbGC8Vdk4A89SmdJdtU5Wlrfj9L1xxUEkcN+pTEwKE5IAAEgAAQAALOQ6CiAr/7bpUyhRAePRpXVjpPaNZEAvqUNbRsKyuB3Gibg/aqLfvATQUmy3L4y4hoLStJy06f4gduZbzyLS77oS4WPZPA5alPwfopsYNGnvWEF46BPiWuV5ncQMQ17WS1gCSTDgWMTDBijIEkE5KAkQlGGQxIrRY//XSVMuXujhcvxkYjq8DZ2pFgQII+xbbLhKxJ8LimUPM1d072gVNdycoE7D/1YCFVzY09iVuW/VAXy4tJ4HLUp1i9v08s+BqrJ7wNU425Zf+GhQMHfUpcDzC5gYhr2slqAUkmHQoYmWCE/acAIysCrOw49KV96hRu2bJKnPLzw7t2sQrZHnYkwAj6lD06zrxNCbrTfMM1nSv7wK2UpejTbaBPgT5V0xefRO0zucZBn5Kot1g0IyzTsGjBQW0IBw76lLhuY3IDEde0k9UCkkw6FDAywQj6FGBkRYCVHce9tHfvxrVrV4lToaH4xAlW8drJjgQYQZ+yU9+ZMStBd5pp1QGyZB846FNWEuALcw4wCKVxQfZDXSwmJoGDPiUWfw3UE5ZpasAhqZoUDhz0KXH9wOQGIq5pJ6sFJJl0KGBkghH0KcDIigArOw56aS9bhj08qsSpXr1wfj6rYO1nRwKMoE/Zr/v4lg0GQ05Ojmu+v0/egVupztD1U4aEmJzElba/v+/wwoUHo6MPL1zIH1J2OhYbb7WB28lPxzML17gtfbJw4eHo6IP3/kuMmP2qb4t9a+tyNz7/82TOO6PfC23WQqVS1W8QGNbjybkLlv51pej++/tKpXx/n1qtRvc/7u7uwcHBI0eOvHXrltnQ1Gr14sWLySmj0fjBBx/4+vru2bMHY6zRaIgRpVLZqFGjQYMGbd26lWuEnOX+d8OGDdwCRqOxoqLCNd/fJxC42UErPM3iUnXMtAT+u+ydk3mPA0kmSAEjE4xkux95z/9ZgbDNDgxI2/j9r7bDkdTp8HvvVSlTCOE338Tl5f/z1YFTEmAUnnggB4YjxjXhaMVYhDquQMBmvYYKN/J43s3V4nWFMSzDGM1+1ZcyDqpP/XbkTGBgUMsn2nz778T0Q8f37j+6Mj6pT98XVq/dRsvQxJW8UprmJlh5rlarZ86cmZeXd/Xq1b1797Zs2fL//u//zBqn+pRer3/77bfr16+fmZlJSmo0mlGjRuXl5V25ciUjI+Pjjz9WKBSjRo2idhBC8fHxeZxPWVkZPQuJ6giYHbRyn3jI3f/qOgvygQAQAAJAAAjUGIHbt/Hzzz8Qp+bMcdjd0GuEj/DEA/Qplp2i1+uzs7P1ej1Lo3KwJfvAxeo1+oTY7I2r9QmxrqZP8QOXwyhl4qPsh7pYCvYI3OxXfbEOiqlH1aWnn+3XqFHjvy7fpjkkkXuz8rq28mZBMUJo7oKlz/cf7OXt/cFHn+VpdXPnL1GHNlcoFC1atPpmeXyeVocxvnjxIkLo2LFjxJvCwkKEUFpa2r0FTWlpaQihnTt3durUSaVShYeHHz9+3KzTVHUiZ2fOnNmuXTuBkuXl5S+//HLjxo2zs7NpMY1GM2nSJHqIMf7+++8RQr/++ivJRAglJydzC/DSRqOxtLTUNddPCQRudtAKT7N4YB3wUAL/7XEDcUCSErgEJJlABoxMMGKMgSQTkoCRCUbHGpDnz+O2bavEKW9vvG0bqwClsSPBgBSeeIA+xbKjJXhck6W77GzJPnCx+hR/GyZqhx1bu1iifopN8AO3i5eOaFT2Q10sVHsEzv+qbzTi8jK7/KvmDb5EhDp59rqbm9u0f83iiVPkkLy/DyFUv0HgotjvfjtyJvPY+VUJmxUKxZz53xz87WT0zPkeHh5bkqt0n8fqU23btt29e/fx48cHDRoUGhpaWVlp2iFcferq1avh4eFvv/22aTGMsVqt/vLLL/v06dOqVavLly9zy5jqUwaDoU6dOlFRUaSYJfrU3bt3XVOfEgicP2jv0xSeZnH7xTHTEvhvjxuIY8K0t1dAkglhwMgEI+w/BRhZEWBlx1Eu7fR0XK9elTgVEoKPHmUVnWR2JMAoPPEAfYplX0vQnSzdZWdL9oGzkmmoHSvZVty5U15UVHHnjpX1xBanfopNgD4lFr1c6zG5xu/cqSgqKr9zp4JQ4H/VLy/D7zxvl3/l5p9cIwrUrl8OIoRWJWym+lSduvW8fXy8fXzGT/iI6lOjxkykBcLCew4f8Q49HPzSK336vmCJPrVx40YSe0FBgZeXV1JSkumAUKvVSqXSx8fH09MTIdSjR4/CwkLTYkSfUiqV9erVyzfZbtNUn8IY9+jR44UXqvzEGN9bEebp6enD+fz111/cVoS3CeeWdLK0cOD8QXs/eOFpluPzkcB/JjcQxycpgYdAkglkwMgEI+hTgJEVAVZ2HOLS/v57rFBUiVN/+xu+do1VaFLakQCj8MQD9CmW3S1Bd7J0l50t2QfOSqahdqxkGxcSsgChuJAQK+uJLU79FJsAfUosernWY3KNP+b9fTWqT32/ZgvVm347cuZQ5qmu3cLeHTOB6lNL4xJogYCAOrFLV9HDmbMWNlU3s0Sf4q5y6tKly+eff246INRq9fTp08+dO3f27Nk9e/b06NHjySefNPvYuFqtHjRokKenJ+9RPrI/umlmeHj4gAEDSIsIobi4uHOcD28xl7BMY+q20+QIBw76lLiOZnIDEde0k9UCkkw6FDAywQj6FGBkRYCVnRq+tPV6PGXKgw2nhg3DJSWs4pLYjgQYQZ+Srk8NBkN+fr5rvr9P3oGLlWkMCTH561fY/v4+2elT/MClu8hquCW4xm3pgMfoUw72fF/PJ3u/O2ZCnlaXX1CGEOIKWFX61LLvqT71xVdfq0ObY4wvX76MEDr6cC33jRs3ePtP8fSpL774wpQn9/k+jHFGRgZ33yhueVJy9+7dXl5e7733HveU6fopvV5fp06d8ePHk2KWPN9XWVnpms/3CQQO+hR3mFmedtk7p+WILCwJJC0EJVwMMArzsfwskLSclUBJwCgAx6pTNUny7l384osPxKkZM7DBYJXnDlVYAoygTzlUj4MzDklArD7F3xad2rEyStnpU/zArYwXirsmgcfoU5JDoQKT5pnngoNDePujU30qT6vj6VOmz/f1fa5qXVJpaSlCaNeuXSSU3bt38/Qp+kDfrVu3vL296SE3dJ4+lZmZiRD68ccfuWVImpbcs2ePt7f3uHHjqJxkqk+tWrUKIbR3715S97H6lGlzkIMxBn0KhgEQAAJAAAgAASDwCIHLl3HnzlXilEqFExMfOQUH5giAPmWOin3y9Hp9VlaW2Qcx7NOgo1iVfeBUV7IyoU+IzUpaY/v7+2SnT/EDd5SRaHc/ZD/UxRJiErjD6lMZh083CGzY8ok2K1auTz90/EDGf5csX90gsOGYqMn0/X3c9VPfr9miUCjmLlj6n9+zyf7oW7enErQRERFPPfXUyZMn09PTw8PDefpU+/btU1NTT5w48eKLLzZt2rSi4sFWXNxuUavVM2fOzMvLy83N/f333zUaTf369bVaLbcMSVN9irwf0MfHJyoqikhUGo1m1KhReXl5OTk5v/3228cff6xQKOjm6GT/qfj4+DzOp7i4mNuE0WgsKSmhghf3lHOnhQMHfUpc7zO5gYhr2slqAUkmHQoYmWAkr0tzzS8+rAASOzAgWfGsGZK//YYbNqwSpxo2xBkZrGKpQTsSYAR9Srr+leBxTemCsaYl2QdupSxFVw/xt2GidqyhhzGWnT7FD9zKeOVbXPZDXSx6JoE7rD6Vp9Vl/ffKyHfHNVU3UygUPj6+XbuFzfh83l9Xiuj+U1x9Kk+rmzt/iTq0uUKhaNGi1TfL4/O0OoI2Ozs7IiLCy8urS5cupuunduzY0b59e6VSGRYWlpWVZbY31Go1evhp0KDBgAEDjh07Vl3JxYsX01Pp6em+vr5jxowxGo0ajYbYUCqVwcHBgwYN2vbo640ftvC//8+ZM4eawhgLb8PELelkaeHAQZ8S191MbiDimnayWkCSSYcCRiYYYf8pwMiKACs7NXBpJyZWrZlCCHfqhB99kzKroKS3IwFG0Kek61YJulO6YKxpSfaBU13JygRfpqHVraEH+pSVtGqyuOyHulh4TAJ3ZH2KPuvHSxB96rq2kpdveiiMNi0tDSFU3Zv4hOvWyFlhmaZGXJKmUeHAQZ8S1wtMbiDimnayWkCSSYcCRiYYQZ8CjKwIsLIj6aVtMOAZMx5sODV4MJbsJeysYFVvRwKMoE9Vj5/1GQm6k7XLbOzJPnCqK1mZAH3qwVIyNuNIBlZkP9TFMmYSOOhToE+JHYDS1QN9yh6smdxA7OGY7GwCSSZdBhiZYAR9CjCyIsDKjnSXdkkJHjbsgTg1ZQrW61mF4Ah2JMAI+pR0HW00GgsLC11zww55B26lLEWf7zMmxBSuXW40rW7loJPd8338wK2MV77F4Rq3pe/kqE/df39fuelqKdMcYTJyXD+l0+lc88+ZQOCwfkp4nFd31mXvnNUBEZ0PJEWj41YEjFwatqSBpC30aF3ASFHYmJCIZG4uDgurEqcUCrxqlY0+O2B1CTCCPuWA/Q4uORgBU4HJxhwr45OdPkUVOldbP2Vlx0LxRwjIVJ8ylaLM5jwSKhw4KQHQp5y0UUgUmAAAIABJREFUYyEsIAAEgAAQAAIWEDh6FIeEVIlT9erh9HQLKkARMwRAnzIDxU5ZOp0uMzNTp3uwUa6dWnFAs7IPXKwapUuIzdy0XpcQa6NeIzt9ih+4Aw5K+7gk+6EuFguTwOWoT93ff+qu7ftPiQVfY/WMRmNxcbFrrp8SCBz0KXEjkskNRFzTTlYLSDLpUMDIBCN5vs81v/iwAkjswIBkxdPuJLdtw97eVeJU27b4/HlWbjuaHbtjxBj0Kek6XYLHNaULxpqWZB+4DfpUxuZE2/WpvCNHrh06lHfkiDXUbSgrNl4qw/E33rLBF3lV/X/2zgU+quLs/xNyIZuERCMgiBhAvAStUHgJSF9FquViVWz/LdZQsN4RK2iVvlqtBKyKUDAIcinVEGwwXOINpIiRAJoAUSHlEm6BAAFCYJMIISHJXubfZcK4nN092TP7nLNndp/98NHZOTPPPM/3mXOY/XHOHOmnuihukMC/+66yqOj4d99VMi+8/tQXdVCkn9fboBSVUPuji/gX1D7q2zAF1TV9B1cP3OukVV9m6esuhHUD/Ae5gEDEKr0NJAmSQsQIghH3n0KMUASg7Oh4ajud9M03WzacGjqU/vADlM8mtKMjxovRqi88yMVmIfJ/9Wj1DtKAdOodgph96QMX1WuUMg23I8bRsF7cT9GCMnDDPA/2QNJPdVGAegTu9ae+qIMi/RRSlNevqE+JkJW5D+pTemRPjwuIHn6a3yaSBMkRYgTBiPoUYoQiAGVHr1O7sZGOHdsiTv3xjzTUn5TSC6NbmtUVG9Sn3FAFXDQgnQH7qIsB6QOHkmm4HV0wwxnlfooWUJ+CS4YclvQ4x1GfMnPu1WUaM3seoG/qgXudtOrLrAD9MaC7Af7rcQExgIwJh0CSIElBjCAYUZ9CjFAEoOzocmqfOkV/9jOXOBUZSd99F8pVM9vRBeOlAasvPFCfupRWYN+cTmd9fX14btghd+CiMo0zO7N+yZzA398X2LzT3ls0Xv58nzJw7S5I2gPPccDEef2pD2i/VVNeb5jyrDxpbfKs9KxpdTi5GjidTrvdHp5/nakE7nXSqi+zzJ93A/wP2ysnePaRJAhSxAiCkVKKJEFIIkYQjLpMyF27aLduLnEqKYmuWwflp8ntGDAh1RceqE9BzhCn06nyXmrIkUxmS/rARfUaZ3amLXt24PpU2apVe5cvL1u1yqDEisbrrk9dErhBfgd/GOmnuihCkMBXrSpbvnzvqlUtO0p6/akv6qBIP0+NyWuNP5ujV1pD7bUYzosfEbIy97kYt9NrEF4nrfoyy6sdU1Ua4D/IBcRU0ILlDJIEIY8YQTAyOSA8f/hAAWR2cEJC8QQmuWYNbdfOJU5dey3dswfKSfPbAcboLWD1hQfqU96YidYZcDucqGv69pM+cFG9RvmYG7ejkbeM7++7ZGN4jfHK21z6qS6KHiRwf97f19TUVA/6aWpq8hW0VzVKUXnS2jxn7vzExCRFvefXhx56aOTIkb7GMnN9eXk5IWT79u3uTqo/5ubeklLq1YKijSxf1QNHfUosjyAXELGhQ6wXkgRJKGIEwYjP9yFGKAJQdsBObaeTZmbSNm1c4tTgwdRqhfJQCjtgGH1Hi/qUbzbQRwxIJ7TLMPakD5zrShoLqE+13FEFM48ksCL9VBdlDBJ4q/pUU1NTUVFRPuinqKjIl0TFNaZRvxszbMR9/Gul1Zb3ST4hZO/B0yetzRXHq3buOeZ+1GsZXJ9iog+58ElISOjVq9f48eP3798vmkOf/ex2e2Vlpe3Cfp8FBQWEkNraWnWZRmHL3YLikPrX9evX//KXv2zfvn3btm179OgxatSojRs3qnfR9ej1118fHR29b98+Xw82oj4lxh/kAiI2dIj1QpIgCUWMIBhRn0KMUASg7MCc2s3N9MknXcoUIfTRR6nvf+aEcttsdmAwqkaF+pQqHtCDBqQT1F8wY9IHrlGW4o+5oT6F+hTYWWRuQyDneKv6VH19fX5+/saNG4uAPhs3bszPz6+vr/dKl8tM6vqUteasP4/4BahP2e12h8Ph7ifTp/Lz8ysrKw8ePPjJJ58MGTLEYrHk5+e7N4Mti+lTYj68++67ERERY8eO/eqrrw4dOlRYWJiZmdm3b19Pa55wPNsEXvP1119fc8016enpr776KupTgfN0twByAXE3GLZlJAmSesQIghH1KcQIRQDKDsCpXV1Nf/5zlzIVEUH//nfq9P6wP5TD5rQDgLG1wFCfao0Q3HED0gnnLKQl6QNHfUojAaUwBzmbTG1L+qkuShckcD/1qaKiou+APuxurAD1KcXzfX9+acoV7TvExyekj374jxMm3XTzLUznYvrUjBkzOnXqlJycPH78+ObmZsb7vw8tTpo06aqrroqLi0tLSysoKGD1WVlZSUlJq1atSk1NjYyMPHTokHt+PB+aczgcd9xxR0pKit1uZy0/++yzvn37tm3btnv37hkZGeweKEopIWTRokX333+/xWLp2bPnp59+ytrX1NSkp6e3b98+Nja2Z8+e77//vvvTee53bBFC0tPTFy9enJyc3NjYyB379a9/PWbMGP6VFdxdZQpXfn5+v379LBbLrbfeunfvXkV7SumRI0eio6Ofe+45xSEuDHnCqampGTNmzGWXXWaxWIYPH85vJZs8eXLv3r25nbfffjslJYV9ZUnJyMjo0KFDu3btnnjiCV8301FK//CHP7z44otr1qzp3r27QivkxvH+KY5CUwHkAqJpxFBtjCRBMosYQTCiPoUYoQhA2Qn01N63j153nUucSkign30G5ZV0dgLF6EfAqE/5AQmoiQHbiQF5CmxG+sA1qjP8/imo/dGl239KGTjwhDKvOemnuihakMBl1KcqrbbMOf/k+0/NnZ8dGxv79juLvtmye9L/TW7XLtFdn0pMTBw3btyePXtWrVoVFxf3j3/8g/FOT08fNGjQpk2bysrKZsyY0bZtW6atZGVlRUdHDxo0qLCwcO/evefOnXPPj7vow+s//vhjQsjWrVsppWvXrk1MTFy8ePHBgwfXrVvXrVu3jIwM1pIQcvXVVy9duvTAgQMTJkxISEiorq6mlD799NN9+vT59ttvy8vLv/zyy88uLL/4QHa7PS8vjxCyb9++EydO1NbW1tfXJyUlLV++nJk9ffp0TEzM+vXruT+swC1QSpk+NWDAgA0bNuzevfu2224bNGiQoj2ldNasWYSQyspKz0OsxhPOfffdl5qaumnTppKSkmHDhvXs2ZMpgOr6VEJCwgMPPLBr167Vq1d36NDhL3/5i9cRz549Gx8fv2vXLpvNduWVV3711Vdem6E+5RVLq5UgF5BWRwmHBkgSJMuIEQQj7o+OGKEIQNkJ6NT+6it6+eUuceqaa+h//gPlkox2AsLoX8CoT/nHCaKVAa9jhHAT3ob0gQegT9UvmRP4+/tk1KcuCRx+TpnUovRTXZQrSOBm1qciIyPj4uP5n9jYWLb/1AV9ahHXp/r2S3v40af4g4H9Bwxy16fc72z67W9/+8ADD1BKy8rKIiIijh8/ztnfeeedL730EqU0KyuLEFJSUsIPuRfcRR9ev2fPHkLIsmXLKKW33XbbG2+8wQ998MEHnTt3Zl8JIa+88gornzt3LiIi4t///jel9N5773344Yd5F1ZwH8j9+T673e50Op966qkRI0awlpmZmT169OC3OHE7nhb4Q4iff/45IeT8+fO8MSuMGzcuMTGRV65cuTL+4mfHjh2ecPbv308IKSwsZF2sVqvFYmHCmbo+lZyczG+gmz9/fkJCgtd7o/7xj3/06dOH/dyaMGHC6NGjuW/uBdSn3Gn4Xwa5gPg/XAi3RJIgyUWMIBjZBbO+vt7zLwUo+2FiByckVKLFSS5cSKOiXOLUrbfSkyeh/JHUjjhGvwNGfcpvVAE3NOB2uIB91MWA9IGL6lPKx9y4HY2YpdOnlIFrjFfe5tJPdVH0IIGbWZ+6ffCdRcV7+J+587P5/ujuz/clJV02+933uT71xLiJ7vrU3XffzQFPmDBhyJAhlNLly5cTQi5qL67/R0VFjRo1ikkwMTExvlb27qIPN1taWkoIYbpMXFxcbGwst8w0NabF8DasY2JiYnZ2NqV0zZo1Fould+/ekyZN4lqP+0Du+lRdXZ3T6dy2bVtkZOSxY8copb179546dSp3hhc8LZw6dYod3bZtGyHkyJEjvDErjBs3LikpiVfW1dUdOHBgw4YN/E2CWVlZ7nA+/fTTqKgo/mAjpbRPnz5Tpkz5rwV1fYplgQ1UUlJCCDl8+DAflxcGDBjw97//nf3c2rhxo8Viqa2t5Ud5AfUpjkJTAeQComnEUG2MJEEyixhBMOLzfYgRigCUHZFT226nEye6lClC6OjR1OOf06B8k8iOCEaN4aE+pRFYAM0NSGcA3unYVfrAua6ksaCUaXh3jbBRn9IILGjNpZ/qouRAAjezPqXy/j6FPvXOvCyuTz3+5AR3fWrkyJEc8MSJEwcPHkwpzc3NjYyM3Lt37wG3D3uujW2xxLsoCu6iDz/Enr/79ttvKaWxsbFvvfWWm1VXkd0cRAj5+OOPea+kpKSsrCz29dSpU1lZWaNHj46NjX3++efd95/iT+cp3t/Xt2/fN9544/vvv2/Tps3Ro0e5WV5wd5UrXOzo9u3bCSHl5eW8MSvMnDnT8/k+dzsKOJ988olCn+Ji2ZQpU2655RZuf/r06e77T3nqU55i2e7duwkhbdq0ibz4IYTMmzeP2+QF1Kc4Ck0FkAuIphFDtTGSBMksYgTBiPoUYoQiAGVH86l95gwdMaJFnPrb38JzN3RP+JoxepporQb1qdYIwR03IJ1wzkJakj5writpLKA+he/vgzyRTGwL5BwPAX2qb7+0Rx4bz/WptIE/a1Wf2rdvHyFk06ZNnulVSDCKBu5iDTvkcDgGDx7cvXt3dhvRoEGDHnnkEUUv9lVFn+LtFyxY0K5dO4U+VVhYSAixWq1Op5PdP0UpnTdv3nXXXff0008PHTqUd3cvuLvqpz7F9kd/9tlnfdlRwPH6fN+KFSuYex07duS3oaWnp7vrU8nJyQ0NDWyUBQsWeH2+709/+tPtt9++88Jnx44dW7dunTRpUr9+/dx9Y2XUpzyZ+FMDcgHxZ6CQb4MkQVKMGEEwoj6FGKEIQNnRdmofOkRvusklTlks9MJyAsoN2e1owygULepTQtiEOtlstuLiYv4GJSEbUnaSPnCNshTfH92WPbt4eY4tezavEdNr3rvhhtnt2r13ww0GpV80Xh6mMnCD/A7+MNJPdVGEIIHfcMN77drNvuGG95gXnj/16+vr8/Pzzfz+Ptf+6BbL7LnvFW4t/fNLU9q1S7z5J72ZXMVeFccB8/unKKWjR4/u1q1bXl7eoUOHiouLp02b9vnnn7Pn+9yfceN9WYGJPvn5+ZWVlQcPHvz000+HDBlisVj49uRr166NioqaPHnyrl27SktLc3NzX375ZdbXlz7117/+9ZNPPjlw4MCuXbvuueeetLQ0hT517NixiIiIxYsXV1VVnTx5kok+Z86ciYuLi4mJyc3NVTjp7ur27dvd78Bih3zdP0UpfeeddyIiIsaOHbt+/fry8vLvv//+ueeeI4Tw/acUcEaOHNmrV6+vv/66pKRk+PDhfH/00tLSiIiIadOmlZWVzZ079/LLL3fXpxISEh588MHdu3evWbPmyiuvfPHFFxUhNDc3d+jQYf78+aze6XSeO3eOqYqeW4N5TlpKqfoySzGcCb8a4D/IBcSE6Ix3CUmCMEeMIBiZPhWeP3ygADI7OCGheGog+c03tH17lzh11VX0wj3pUD6EgB0NGEWjVV94EFGzJu2nHq1JnUa3gk4gYL2GCzdi+pTRAMItXqP54nh+EfD8qc/0qY0bNxYBfTZu3Jifn8+3x1a4xW+DGvW7Mb6e71O8v6/Sapv0YkbyFe3j4xMeHP2HR5/4Y7//GdCqPtXc3Pzqq69269YtOjq6U6dOv/rVr3xJMO4eMn2KXPjExcWlpqaOHz/+wIED7m3Wrl07aNAgi8WSmJiYlpbG3xjoS5967bXXUlNTLRZLcnLyyJEjDx06pNCnKKVTp07t1KlTRETEQw89xMcaM2ZMcnJyY2Mjr3EvCNw/xbp/+eWXI0aMSE5OjoqKuvLKK++///61a9eyQ4r7pyilNTU1Y8aMSUpKslgsw4YNY+9AZI3nz5/ftWvX+Pj4sWPHvv766+761MiRI1999dUrrrgiISHhscce8wxh5cqVbdq0OemxH+pPfvKTZ555xj1MSqnnpEV9SoEIvyIBJIAEkAASMDWBJUtoTIxLnOrbl17YXtPU3oaic+qKDepTkDl3Op1s2w5IozLYkj5wUb3GmZ1Z+8G8wN/fZ3SSRePlMpwycKMDCNp40k91UXJ6BO75U7+pqamoqCgf9FNUVNTU1OQ1bq5PqReqqht9Nbh98J3/77fp7KjXIeStVLxd+K677vIUa8wfneKmNn8cVgSu6OI5aVGfUiDy+lWPC4jXgUK+EkmCpBgxgmBkL5QIzx8+UACZHZyQUDxbJ+lw0Jdeatlw6te/pufOQQ0dSnZaxxhwtKhPBYzQbwMGPK7pty+GNpQ+cFG9Bmr/KUOzRSmXmYQLysCNDiBo40k/1UXJ6RG415/6TU1N9aAfX+IUpdSX6uRef9LabK05e9LazCoPHj0zeer0Dd+UbNq8808vvEIIWZa3NlT1Kbb/VHV19YcfftimTZu9e/eKTp+g9RPTp/jGW55+e5206sssTyNmqzHAfz0uIGbDaIw/SBKEM2IEwYj7TyFGKAJQdlo5tc+do7/6VYs49Ze/UIcDatwQs9MKRoho1RceeP8UBOOLNgxI58WhzPV/6QNHfUojAdSnzHUG6u+NHue415/6+ofy4wjuOpSvskKfOlRx9rbbf37ZZZdb4uJu/kmffy5ezjv+aDckSnx/9JSUlMTExBkzZsgYFupT/mRNfZnoj4VW2+hxAWl10JBsgCRB0ooYQTCiPoUYoQhA2VE7tSsq6E9/6hKnYmLoBx9AjRiSdtQwAgWsvvBAfQoI8wUzBqQT0l04W9IHrlGd4bcdKWUabkcj24IXXlj76KMFL7ygsZ9oc+6naEEZuKgj0vWTfqqLEgcJ/IUXCh59dO0LLxQwL2TUp7ga5VkQRWvSflyfMql/urmlHrjXSau+zNLNUzDDBvgPcgEBC1hmQ0gSJHuIEQQj6lOIEYoAlB2fp3ZxMe3UySVOdehACwuhhgtVOz4xwgWsvvBAfQqONKV2u72kpIS9+RvSrultSR+4qExjz55dsmyJPeD3983v0mUGIfO7dDEo1aLxcmFOGbhBfgd/GOmnuihCkMC7dJlPyIwuXVpelOb1p76ogyL9PDUmz5qT1ubT1ef4832eDXiNiAcm7uN0Ouvr69n7+0zsJrxr6oF7nbTqyyx4F6EtGuA/yAUEOm4p7SFJkLQhRhCMNIx/+EABZHZwQkLx9E5y2TIaG+sSp26+mZaXQ40Vwna8YwQNWH3hgfoUKGw0JimBgPUaLty0FDRykE6fCjBejXiweYgQkFGf4vJTq4UQSRKGoUoA9SlVPHgQCSABJIAEkIBpCDiddMqUlg2nfvlLeuaMaTwLd0dQnzJuBjgcjqqqKkf4bbcmfeCi+pQjO7MqZ4HDs7vGSSedPqUMXGO88jaXfqqLogcJXFJ9qqr6fKviVKXVJorWpP2cTmdzc3N43j+lEjjqU2LzFeQCIjZ0iPVCkiAJRYwgGCmlSBKEJGIEwaickA0N9MEHW8SpP/2J2u1Qo4S8HQMmJOpTxs0iAx7XNC4YLSNJH7inwORfjXIbJt5LCz1KqXT6lDJwjfHK21z6qS6KHiRwGfUpxf7oKkKVKFqT9lPfhsmkTkO4pR446lNijEEuIGJDh1gvJAmSUMQIghH3n0KMUASg7Px4aldW0gEDXOJUVBRdtAjKfpjY+RGjbgGjPqUbWg/DBqTTY0xTVEgfONeVNBaUMg3vrjEtqE9pBBa05tJPdVFyIIGjPiWKPwj91GWaIDhk1JDqgaM+JZYHkAuI2NAh1gtJgiQUMYJgRH0KMUIRgLLTcmp/9x3t2tUlTl1+OV2/Hsp4+Ngx4AqJ+pRx08mAdBoXjJaRpA+c60oaC6hPie23pWVymaut9FNdFCdI4KhPieIPQj91mSYIDhk1pHrgqE+J5QHkAiI2dIj1QpIgCUWMIBhRn0KMUASg7Nhstr3Tpzvj413i1PXX0/37oSyHlR0DrpCoTxk3o+x2e2lpaXi+v0/uwDXKUnx3cHv27NLcxeH5/r5LAjfuJAvySHiOB5IAf/Qpm83WBPqx2XzuDKXysB4/dNLa/M6cBYmJSbzGV+Ghhx4aOXJkIHyC1be8vJwQsn37dncHnE5nQ0ODn/tPebXgbk2isnrgqE+JpTJsr5xiuFR6IUkVOP4fQoz+s1JviSTV+fh5FDH6CaqVZk6nY9o0Z0SES5y66y5aU9NKezzsg4ABExL1KR/ssRoJcAKi+hQXqpQFbtm/gnTP9wUYr39UsFWoEWhVn7LZbEePHi0H/Rw9etSXRMWVplG/GzNsxH38a6XVlvdJPiFk78HTlVbboYqzO/ccdz/qtQyuTzHRh1z4JCQk9OrVa/z48ft1+MdAu91eWVnJKBUUFBBCamtrNU0+dwuaOq5fv/6Xv/xl+/bt27Zt26NHj1GjRm3cuFGTBZDGLGqGOjY2tlevXgsXLvRqGfUpr1iwEgkgASSABJBAUAjY7bSggOYuaTox/GGXMkUIfeop2twcFGdwUD8JoD7lJyiAZg6Ho6KiIjzf3yd34KL6lCM7s2LpovB8f98lgQOcPXKYwHM8kDy1qk81NTWVl5cfPnz4KNDn8OHD5eXlTU1NXt3mMpOqPtV8qrqh0trMG/sqBKhP2e12xd8dTJ/Kz8+vrKw8ePDgJ598MmTIEIvFkp+f7zUckEquTzmdzqamJj/vnxIb+t13342IiBg7duxXX3116NChwsLCzMzMvn37elrzhOPZJpAaFvW+ffsY6pkzZ7Zp08YrZ9SnxDiH7ZVTDJdKLySpAsf/Q4jRf1bqLZGkOh8/jyJGP0F5NsvLo1dfTa8gpzeQ2ykhdtKm8HdvOPBVfZ6ktNQYMCFRn9KSkMDaGvC4ZmAO6tVb+sBF9Smo/ae+eOKJT3/zmy+eeEKvDCnsisbLb5tSBq6wH7pfpZ/qoqkBCfyJJ774zW8+feKJL5gXnj/1mT519OjRY0AfdjdWIPrUSWvznLnz3Z/v+/NLU65o3yE+PiF99MN/nDDppptvYYoV06dmzJjRqVOn5OTk8ePHN1/857umpqZJkyZdddVVcXFxaWlpBQUFjEBWVlZSUtKqVatSU1MjIyMPHTrknh/Ph+YcDscdd9yRkpLCnyL/7LPP+vbt27Zt2+7du2dkZPA7xQghixYtuv/++y0WS8+ePT/99FNmuaamJj09vX379rGxsT179nz//fcppXwg9zu2CCHp6emLFy9OTk5ubGzkjv36178eM2YM/8oK3AKllGk9+fn5/fr1s1gst9566969exXtKaVHjhyJjo5+7rnnFIe4IuYJp6amZsyYMZdddpnFYhk+fDi/lWzy5Mm9e/fmdt5+++2UlBT2lSUlIyOjQ4cO7dq1e+KJJ7xOBq7KUUrZ/lM9evSYPn06t8kLnpOWUqq+zOJ9TVswwH+QC4hpARrpGJIEoY0YQTDi/lOIEYqAmJ28PBoRQW8kpWWkByXkB5I4nKwhxLl8uV3MIPZiBAy4QqovPEiIZUI9Wr2DNSCdeocgZl/6wEX1GqVMw+2IcTSsF/dTtKAM3DDPgz2Q9FNdFKAegXv+1De/PjV3fnZsbOzb7yz6ZsvuSf83uV27RHd9KjExcdy4cXv27Fm1alVcXNw//vEPxjs9PX3QoEGbNm0qKyubMWNG27ZtmbaSlZUVHR09aNCgwsLCvXv3njt3zj0/7qIPr//4448JIVu3bqWUrl27NjExcfHixQcPHly3bl23bt0yMjJYS0LI1VdfvXTp0gMHDkyYMCEhIaG6uppS+vTTT/fp0+fbb78tLy//8ssvP/vsM3d9ym635+XlEUL27dt34sSJY8eO1dfXJyUlLV++nJk9ffp0TEzMeo+34bi7yrSeAQMGbNiwYffu3bfddtugQYO4/7wwa9YsQkhlZSWvURQ84dx3332pqambNm0qKSkZNmxYz549mQKork8lJCQ88MADu3btWr16dYcOHf7yl78oBuKaGnuq0eFwfPTRR9HR0V6fNPSctKhPefL0rNHjAuI5SjjUIEmQLCNGEIyoTyFGKAICdux2151TQ8naH0giJeQg6Z5Kdl94vM959dVOvINKACnvYsAVUl2xQX2K5wKgYEA6AbzUwYT0gUPJNNyODpAhTXI/RQuoT0GmQwZbepzjnj/1g6hPRUZGxsXH8z+xsbFs/ynF/VN9+6U9/OhT/BG//gMGuetT7nc2/fa3v33ggQcopWVlZREREcePH+d5vvPOO1966SVKaVZWFiGkpKSEH3IvuIs+vH7Pnj2EkGXLllFKb7vttjfeeIMf+uCDDzp37sy+EkJeeeUVVj537lxERMS///1vSum999778MMP8y6s4D4Qv5OIv8buqaeeGjFiBGuZmZnZo0cPfosTt+NpgT8c9/nnnxNCzp8/zxuzwrhx4xITE3nlypUr4y9+duzY4Qln//79hJDCwkLWxWq1WiwWJpyp61PJycn19fWs1/z58xMSEhTPUXJ9io0fFRXVpk2b1157jfvmXvCctKhPufPxVdbjAuJrrNCuR5Ig+UWMIBhRn0KMUAQE7BQU0KfJHDtpQwnZRP63PTnF9p5i/714n7qAYexCDbhCoj5l3DxzOBxlZWWea1/jPAjSSNIHLirTOLIzyz58L/D9p4zOm2i8/PnhXXfqAAAgAElEQVQ+ZeBGBxC08aSf6qLk9Ajc86d+EPWp2wffWVS8h/+ZOz/74v7ol7y/Lynpstnvvs/1qSfGTXTXp+6++24OeMKECUOGDKGULl++nBByUXtx/T8qKmrUqFFMgomJifGUe5gRd9GHmy0tLSWEMF0mLi4uNjaWW2aaGtNieBvWMTExMTs7m1K6Zs0ai8XSu3fvSZMmca3HfSB3fer8+fNOp3Pbtm2RkZHHjh2jlPbu3Xvq1KncGV7wtHDq1Cl2dNu2bYSQI0eO8MasMG7cuKSkJF5ZV1d34MCBDRs28DcJZmVlucP59NNPo6Ki+IONlNI+ffpMmTLlvxbU9SmWBTZQSUkJIeTw4cN8XFZgUW/btu3AgQM7d+5cuHBhXFzcvHnzFM0opZ6TFvUpT0qeNXpcQDxHCYcaJAmSZcQIgpFSiiRBSCJGzRibm/f9YjzbDT2LPBRDGt3FKULo0qWaTWIHTsCACYn6FKeNBSTgg0DAeg0XbloKPsYxS3W4xWsW7ujHJQQ8f+oHUZ9SeX9f5px/8v2nkpIue2deFtenHn9ygrs+NXLkSB7hxIkTBw8eTCnNzc2NjIzcu3fvAbcPe66NbbHEuygK7qIPP8Sev/v2228ppbGxsW+99ZabVVeR/QMJIeTjjz/mvZKSkrKystjXU6dOZWVljR49OjY29vnnn3d/vo/fSaR4f1/fvn3feOON77//vk2bNkePHuVmecHdVa5wsaPbt28nhJSXl/PGrDBz5kzP5/vc7SjgfPLJJwp9iotlU6ZMueWWW7j96dOnu+8/5alPeYplCp8ppU8++WSXLl24TV7wnLSoT3E4WEACSAAJIAEkoDuB2lp6112UEAeJmETeIsSpEKcIcb3RDz9mJoD6lHHZMUBuNC4YLSNJH7ioXqO8jYjb0UKPUrqkX7/5Xbos6ddPYz/R5txP0YIycFFHpOsn/VQXJQ4SeL9+S7p0md+v3xLmhedPfVPqU5fcP9W3X9ojj43n+lTawJ+1qk/t27ePELJp0yZP9goJRtHAXaxhhxwOx+DBg7t3785uIxo0aNAjjzyi6MW+quhTvP2CBQvatWun0KcKCwsJIVar1el0svunKKXz5s277rrrnn766aFDh/Lu7gV3VxVajy99iu2P/uyzz/qyo4Dj9fm+FStWMPc6duzIb0NLT09316eSk5MbGhrYKAsWLFB5vo+pcizwp556Kjk52d03VvactKhPeVLyrAG5gHiaDcMaJAmSdMQIghHvn0KMUAQ02DlwgN5wAyXEGR//6BUfR0Swm6h+/G9EhLNrV9x/SgNRz6YGXCFRn/LErleNAY9r6uV6YHalD1xUplFuw8TtaOQ5v0uXGYTM9/bP9Rot+dec+ylaUAbu37Ah0Er6qS6aA5DAu3SZT8iMLl3mMy88f+qbUJ9S7D/l2h/dYpk9973CraV/fmlKu3aJN/+kN5Or2KviOGB+/xSldPTo0d26dcvLyzt06FBxcfG0adM+//xz9nyf+zNuvC8rMNEnPz+/srLy4MGDn3766ZAhQywWC9+efO3atVFRUZMnT961a1dpaWlubu7LL7/M+vrSp/76179+8sknBw4c2LVr1z333JOWlqbQp44dOxYREbF48eKqqqrKykom+pw5cyYuLi4mJiY3N1fhpLur27dv97wDy5c+RSl95513IiIixo4du379+vLy8u+///65554jhPD9pxRwRo4c2atXr6+//rqkpGT48OF8f/TS0tKIiIhp06aVlZXNnTv38ssvd9enEhISHnzwwd27d69Zs+bKK6988cUXPUNgmtq+ffsqKyvLy8uXLFnSrl07z4268Pk+T3R+1oBcQPwcK7SbIUmQ/CJGEIy4/xRihCLgr52CApqc7NKiunal27ez9/e5S1QREU58f5+/MH23M+AKifqUb/zQRwxIJ7TLMPakDxxKpuF2NHJFfUojsKA1l36qi5IDCdxPferw4cNHgT6HDx8uLy9vamryGje/DWrU78b4er5PoU9VWm2TXsxIvqJ9fHzCg6P/8OgTf+z3PwNa1aeam5tfffXVbt26RUdHd+rU6Ve/+pUvCcbdT6ZPkQufuLi41NTU8ePHHzhwwL3N2rVrBw0aZLFYEhMT09LS+BsDfelTr732WmpqqsViSU5OHjly5KFDhxT6FKV06tSpnTp1ioiISE9P5zcljRkzJjk5ubGx0X10Xha4f4r1/fLLL0eMGJGcnBwVFXXllVfef//9a9euZYcU909RSmtqasaMGZOUlGSxWIYNG8begcgaz58/v2vXrvHx8WPHjn399dfd9amRI0e++uqrV1xxRUJCwmOPPeY1BKZPMdRRUVHdunV7/vnnFa9TZAN5iqp4/xQjo/5fkAuI+hBhchRJgiQaMYJgRH0KMUIR8MvOP/9Jo6Jc4lRaGr348t+8PNdb/PjzfVdf7Xzzzb02m80vg9jIBwEDrpCoT/lgr0O1AenUwWsAk9IHznUljQXlbUS8u0aoqE9pBBa05tJPdVFyIIG3qk/ZbLajR4+Wg36OHj3qa6XC9SmVwklrs7Xm7Elrs9c2tw++8//9Np0dEkVr0n78/X3Mv7vuuuuZZ54xqa++3VLc1Oa74Y9HFIH/eOBCCfUpBRA/v4JcQPwcK7SbIUmQ/CJGEIyoTyFGKAKt2LHb6fPPt6hQv/sdvfjMPutlt7t2m1q61PXfxkbb5s2bfa36WhkFD18kYMAVEvWpi7D1/7/D4aioqAjP9/fJHTjXlTQWHNmZFUsXBf7+Pun0KWXg+p9cJhkBz/FAEtGqPsUWu02gH5VlilfJyaOy+VR1Q+VFferg0TOTp07f8E3Jps07//TCK4SQZXlrQ1Wfampqcjqd1dXVH374YZs2bfbu3RtI9oPSV0yfYoF7dRj1Ka9YWq0M2ytnq2S0NkCSWol5bY8YvWIRqESSAtA8uyBGTyY/1pw9S++5p0WcysigTuePhzxKSNIDiUiFARhRnxJJDPYJLwIaZSnl2/o8u2vEJ50+pSSgMV5sHp4E/NGnjCTjIUXZWq05VHH2ttt/ftlll1vi4m7+SZ9/Ll7OuxjpuZFjpaSkJCYmzpgxw8hBocYS0KfUh0Z9Sp0PHkUCSAAJIAEkAEbg8GH6k5+4xKnYWOpjB0ywsdCQgQRQnzIOtt1uLy0tZW9WMm5UE4wkfeCeApN/Nfbs2aW5i+3ZswPUa6TTp5SBm2ASGuOC9FNdFBNI4DLqUyetzaerz/l6vo+LU5XWUNvswOl0NjQ08P2nRCeOfP3UA0d9SiyjIBcQsaFDrBeSBEkoYgTBSClFkiAkEaN3jEVFtGNHlzjVqRPdutV7m0trkeSlPAS/GYAR9SnB3Ah0M+BxTQGvDOgifeD+qVFKESo7E/efamFiwCQzxxDST3VRjCCBS6pPqew/Fdr6VF1dXXjqUyqBoz4ldgkBuYCIDR1ivZAkSEIRIwhG3H8KMUIR8GLnX/+ibdu6xKk+fejRo14aeKvCU9sbFc11BmBEfUpzVoQ7GJBOYd907Sh94KhPaSSgFOZ0nV5mMi79VBeFCRI46lOi+IPQT32b8CA4ZNSQ6oGjPiWWB5ALiNjQIdYLSYIkFDGCYER9CjFCEbjEjsNBX3mlZcOp+++ndXWXHFX9gqe2Kh5/DxqAEfUpf5MReDsD0hm4k3pYkD5wjeoMv5FKKdNwOxopS/d8nzJwjfHK21z6qS6KHiRw1KdE8Qehn7pMEwSHjBpSPXDUp8TyAHIBERs6xHohSZCEIkYQjKhPIUYoAj/aqa+nv/lNizj1f/9HHY4fD/lRwlPbD0itNzEAI+pTracBqoXD4aiqqgrP9/fJHTjXlTQWHNmZVTkLAn9/X2lOzn8WLSrNyYGaiq3Y0Rgm1+N4QRl4K+OFzmE8xwPJZU5O6aJF/8nJKWVGvP7UD8S+1r7uT+eplKuqz6sc5Ye0jm7y9k6ns7m5OTyf71MJ3OukVV9mmTzRlFID/A/bKyd49pEkCFLECIKRUookQUgixhaMx47Rfv1c4lR0NM3KEmCLJAWgeXYxAKP6woN4+iR1jXq0UoeGzutIIGC9hgs3LQUdfYUwHW7xQjBDG+AEvP7UBx9FxSCXlkAKKgPhoZAh4HXSyr7wkN3/kJldGAgSQAJIIHwJfPcdveoqlzh1xRV006bw5RAekasvPFCfgpwFdru9pKQkPN/fJ3fgonqNPXt2ybIlgb+/D3IW+mNLNF4uwykD92fQkGiD5zhgGr3+1Ae036opf2SpcH5/X319fXjeP6USuNdJq77ManUeBr2BAf6H7ZUTPLlIEgQpYgTByN7fJ/f6HwpEYHZwQtKVK6nF4hKnevWiBw8K40SSwujcOxqAUX3hgfqUezoCLRvwuGagLurTX/rARfUa5TZM3I4+nMGscj9FC8rAwTwzuyHpp7ooYD0C9/pTX9RBkX7u+tR/dlc8+sQfu3W/tm3btu07dOw/YNC0GXMPHj1z0toclPf3vf76623atHnzzTdFAoPoo74NE8QIJrWhHrjXSau+zDJpnG5uGeC/HhcQtwjCqIgkQZKNGEEw4v5TiBGAgNNJ//a3lg2nhg+nP/wQiE08tQOhx/sagFF94aG7PvXuu+9269atbdu2ffv23eTtbr28vLy77rqrffv27dq1Gzhw4Nq1azkdSunKlStTU1NjYmJSU1M/+ugj90Ney+rReu0CWGlAOgG9BTQlfeBQMg23oxFu9d69p3ftqt67V2M/0ebcT9EC6lOi6GXtB3KO791bvWvX6b17qxkFrz/1Z+ZUw/5RIc71qS3f7evYsVPP625c+M+lG4t2rN+0bVHWsjvvGrH4g4889amjlQ28o3tBZSCBQz179nzxxRevu+46gb4gXdRlGpAhzGlEPXCvkza4C4/AMRrgP8gFJPBIQ8ACkgRJImIEwYj6FGIMlMD58/T3v28RpyZMoDZbgAbx1A4QIOtuAEb1hYe++lRubm50dPSiRYtKS0snTpwYHx9/5MgRBbiJEye+9dZbxcXF+/fvf+mll6Kjo7dt28baFBUVRUZGvvHGG3v27HnjjTeioqK2bNmi6K74qh6tojH4VwPSCe4ziEHpA4eSabgdjVjx/X0agQWtufRTXZQcSOD+vL8PVpyamdOihXmNm6tLd/x86FVXXX3wyA+8hhVOnG5m+hQhZNqMucOG32uJi/vTC69UWm3Tps9J6dYjOjr62muvf2deVqXVtagqLy8nhGzfvp0NV1tbSwgpKCiglBYUFBBCVq9efcstt7Rt2zYtLW3Hjh1evaKUbtiwoUuXLs3NzVddddXGjRt9NdO1Xl2m0XXo4BpXDxz1KbHsgFxAxIYOsV5IEiShiBEEI+pTiDEgAlVVdNAglzgVGUnnzw/I1MXOeGpfJBHQ/w3AqK7Y6KtPpaWljRs3jhO68cYbX3zxRf7Va6FXr15Tpkxhh0aNGjV8+HDebNiwYb/73e/4V68F9Wi9dgGsdDqdtbW14blhh9yBc11JY8GZnVn7wTynZy+Ns0o6fUoZuMZ45W2O53gguTOnPrV7/8mIiIi//PV1hTjFv1ZVNxJC2nfoOGv2P7Z8t694e9l72Suio6PfnP7ON1t2T546PTIycuXHX/qjT6Wmpq5bt27Hjh333HNPt27dmpubvfIcM2bMCy+8QCl9/vnnx44d67WN3pVOp9Nms4XnX2cqgaM+JTbxwvbKKYZLpReSVIHj/yHE6D8r9ZZIUp2Pn0fDEeOOHTQlxSVOXXYZ/dK1ggL5hCNJEHCXGjEAo7pio6M+1dTUFBkZ6f5Q3oQJE26//fZLCVzyzeFwdO3adc6cOay2a9eus2bN4i1mzZp1zTXX8K9eC+rReu2ClUiAb/sNVtDIVDp9SglKY7zYPDwJmFOf+vyLbwgh72Wv4ILU5clXxMXHx8XHP/3MC6ySEPL4kxN4g/5pt44e8yj/eu/I39x51wh/9Knc3FyW+urqaovFsmzZMs+ZcObMmbi4uJKSEkrp9u3b4+Lizpw549kMa4JCAPWpoGDHQZEAEkACSCB0CKxeTRMSXOLUdddRw/Y2CR18oRCJumKjoz51/PhxQkhhYSGn+Prrr19//fX8q2dh+vTpycnJVVVV7FB0dHROTg5vlpOTExMTw7/yQmNj45mLn4qKCkJIdXW17cLH4XBQSh0OB/tqs9lYjd1uV6lh/2LMG7B/SmX/mMwrnRc+/KvtwhOzzc3NW7ZsaWxstNls7C1+7kN71hjsnnsIns541vjvXmNjIw9cmJ5+7rmn27t72Zm27Nn8jzM703lpDb20hr2wz5Gd2Zj9zpblOY3Z7/CaFiMXZ5r7BFCZe1yf8u7ehRsZ+GTzOve00cue7bhwz5fDLUxWY3fj4FnD7hSzZc/mgbew4s5duOHC3Rl2arjXeM40zxr/517ryQWlx6Z6U1OTkRcWM9BjgTc3N7s7ozW57vqUw+Goq6vbvXt3Q0MDm/ZsYv/9X1b2Z2ZONS/7qlE08Pw6M6eameX/pZTy8kmr6/E9pk9lLVnBvlZam7d8t6+ouPSnffs//uQz/Pm+d+cvZg1OWpsvu+zy2XPf419fe33mNSndKaWHDh0ihGzbto0NUVNTQwhZv3690+lcv349IeTw4cN89D59+mRkZPCvrEApnTdv3s0338zrb7755gULFvCv7qx4pXtQ3A4/6qtG0UDx1eFwnDt3zuFwuNeLDSTWy31cr2Uxs632Ug+8oaGBT1p+2auuriaEyCsjqi8T+VorkILNZisuLmZXjEDsYF8kCTIHECMIRvZ8H57agcMMownpdNJZs2ibNi5xasgQWq22CYMA2DAiKUDH7y4GYFRfeOiuTxUVFXEaf/vb32644Qb+VVFYunRpXFzcl273+EVHRy9dupQ3+9e//tW2bVv+lRcmT55MLv3k5+dvvvApKyujlJaVlbGvmzdvrqiooJSWlpbyGiaHlZSU8Jra2lpKaXFxMa+pr69nj2LyGpvNVl9fz78WFxdTSq1W65o1a4qKijZv3sz+9buqqoq3KS0tpZRWVFTwGoPdq62t5UPDurdt2zYeuDA9/dxrPbnZszevWMr/2LJn1y+Zw78WL8+hF57j4zUly5bQ7MyqnAVFK5au+SivaMXS0tzFNDuzYumiljabN2tK7uwOHWYQMrtDB4PorVha9uF7NDuz7MP3eFAVSxfR7MzS3MW8pipnAc3OLFm2hNfUfjCPZmcWL8/hgdcvmePaK93t4/XUCGZybTY37zYH6F5RUdGaNWv2799v5IXFDPRY4I2NjZ7XPf/d69BhNiEzrrzSdYcsuyxv377darUyva+hoaGurm7a4pPTFp+c8cHpmTnVb2VXsa+8hn+dtvjk3/91+u//sl5aY/37v06718zMcf1bRd3FT319PaW0ubmZVVhrzp6uPsee7/vrqxnWmrPWmrOnqusrrbZT1fWDfva/Tz75lLXmbHXNGUJI9pIPWQNrzVmXPvXu+6erz7Gav73+Zko3lz61Z88eQsg333xTV1dnt9urqqoIIWvWrKmrq1uzZg0h5NChQxd9qbvlllumTJni6d7//M//RERERF78RERE9O/fn/c6f/48pfT8+fO8xp0eq2SPDdbX1/M2TBc4d+4cr7Hb7WyjJV7jdDrtdjv/yhp7usfp1dXVNTQ0UEqbmpp4LyPdYz+N+NCK5Aq7x8LxRc9qtW7fvr2mpsZ9SZCfn4/6FF+SeS0YsJmF13FDrxJJguQUMYJgxP2nEKM2Ak1N9PHHXcoUIa6Cjy0OtNm8tDWe2pfyEPxmAMag6VOanu/Lzc21WCyrV692B+nn832mun+qqKgoPO+f4oEbdAeQxhuU+D90e3fP7TYiW/ZsTfdPFa1YGp73T7HAw/D+qaKiovC8f6qoqCgk75+qtNoGD/lF585dDh6pPWltrnT9sVVam28ddLv7/VP8Bqv/3nLFnu/j90/dO/L/3fWLuyml9fX1bBN0dr/PF198obh/Kjc3lx2qrq6Oi4tbtmyZ4s6gHTt2REREbNiwYcfFz9dffx0REbFjxw7estU7gPy8x4ob9FpgN7iF5/1TdXV1vgLH+6fcF2n+lw1Y7PrvjNQtkSRI+hAjCEbUpxCjBgLV1fSOO1zKVJs29O23qdOpoa/fTfHU9huVWkMDMAZNn6KUpqWlPfXUUxxAamqq1/3Rly5dGhsb+/HHH/OWrDBq1KgRI1yberDP8OHDTb4/ugHpvAjDXP+XPnDPDc79q3HdOrRiqS17doD7MfHn+wzKq3/RKYNy66UM3CC/gz+M9FNdFCFI4O7P97GbgEpLS9kdN9yvoLy/b/O3ezt0vLLndTcuWJSzsWjH15t3zZm3uEPHK5986ln+fN/7S1byDafeX7IyOjp62oy5hVtL2f7oeZ/ksxAGDhx422237d69e+PGjWlpaYr399100035+fk7d+687777rrnmGiZ08tgppRMnThwwYIB7DaV00KBBzz77rKJS76/qr7HTe/Qg2lcPHPefEksNyAVEbOgQ64UkQRKKGEEwoj6FGP0lsHcv7dnTJU61a0cvvRnFXwv+tcNT2z9OrbQyAGMw9anc3Nzo6Oj33nuvtLT02WefjY+PP3z4MKX0xRdfHDNmDGOzdOnSqKiod999t/Li54cffmCHCgsLIyMjp02btmfPnmnTpkVFRW3ZskWdqHq06n0DP+p0Ouvr69m/XQduTSIL0gfupryoiDKeh5zZmfVL5oTn+/suCVyiyRqYq9JPddHwQQI3rT5VabWV7Dr6yGPjr0npHh0dHR+f8NO+/V/NeOvg0TOVVttJaxMhxF2fqrTapk2fk9KtR3R09LXXXv/OvKxKq42hLS0tHThwoMVi6dOnz7p16xT61KpVq2666aaYmJj+/fuzh6zdE9LU1HTFFVdMnz7dvZJSOnPmzPbt23uKWYpmsF/Z437h+dcZe/jRK0/Up7xiabUS5ALS6ijh0ABJgmQZMYJgZDfzhucPHyiAzE6IT8gvv6RJSS5xKiWF7twJi05hLcRJKqLV7asBGNUVGx33n2LQ3n333ZSUlJiYmL59+27cuJFVPvTQQ4MHD2blwYMHX7p5FHnooYc48BUrVtxwww3R0dE33nhjXl4er/dVUI/WVy+oerZzcHgu6FVeyA2FV0c7AehT7HlApXSl0Vfp7p9i+8f/KMxpjFfe5niOB5I7f/SpQOxr7cvvh1IvXHjoz6behutTvnwoKCgghLAN5ny1MVU9f+jPVF4Z4Ix64KhPiaUgbK+cYrhUeiFJFTj+H0KM/rNSb4kk1fn4eTSUMc6bRyMjXeLUoEH04gvQ/MQi0CyUSQrgEO1iAEZ1xUZ3fUqUjGA/9WgFjfrdzYDb4fz2xdCG0gcuqk8pH3PjdjTil06fUgauMV55m0s/1UXRgwQuoz7Fnu/zR6JSRyujPlVXVxee/9yiEjjqU+rz3NdRkAuIL+NhVY8kQdKNGEEw4vN9iFGNgM1Gn3nGpUwRQn//e3rh7S5q7SGO4akNQZEagFFdsUF9CiSPLUYMSCeku3C2pA+c60oaC0qZhnfXyLbuxImzFRV1J05o7CfanPspWlAGLuqIdP2kn+qixEECP3GirqLi7IkTdcwLrz/1RR0U6dfqLVEXHu5rttacRX1KhK+cfXD/KT3yBnIB0cMx6WwiSZCUIUYQjKhPIUafBH74gQ4b1iJOvf66Truhe46Op7YnE4EaAzCiPiWQF8EuBqRT0DOdu0kfOJRMw+3oDDxQ89xP0QLqU4GmQLb+epzjYaVPyZZwqi7TSBeO/w6rB+510qovs/wfOlgtDfBfjwtIsHAFd1wkCcIfMYJgRH0KMXoncPAgTU11iVMWC1250nsbfWrx1AbhagBG9YUH3j8FkscWIwakE9JdOFvSBw4l03A7cGx1scT9FC2gPqVLXkxsVI9z3OtPfSMZGHn/lJFxgYylLtOADGFOI+qBe5206sssc4bp7pUB/utxAXEPIXzKSBIk14gRBCPqU4jRC4FNm+gVV7jEqauuot9/76WBnlV4aoPQNQCj+sID9SmQPLYYMWA7MUh34WxJH7ioTKPcJpzbgWOriyXup2hBGbguXprRqPRTXRSqHoF7/akv6qBIP3/0KfaInz8tRTwwcR/1bcJN7HigrqkH7nXSqi+zAnVI//4G+K/HBUR/MGYcAUmCZAUxgmBk7++T+/1IUCACsxM6EzIri0ZHu8Spfv3o8eOBURHpHTokRaIH62MARvWFB+pTYLkM59esGvAeSsg8edoKQKapXzLnx9fYcTueQ6jWlCxc+O3MmSULF6q2gjvI/RQtOLMzLwkczjWTW5J+qovyBQl84cKSmTO/XbiwhHnh9ae+qIMi/fxRnS7oU03+tBTxwMR9nE6n3W4Pz/3RVQL3OmnVl1kmTnKLawb4D3IBMT9JAzxEkiCQESMIxnD+4QMFkNkJhQnpcNA//7llw6nf/IbW18Mi8tNaKJD0M1Q9mxmAUX3hgfoUZHoNuB0O0l04W9IHLirTKB9z43Y0ssX392kEFrTm0k91UXIggYfz+/tEwQetn/pjbkFzS/+B1QNHfUosAyAXELGhQ6wXkgRJKGIEwYjP9yHGFgJ1dXTkyBZx6pVXqMMBRUarHTy1tRLz2t4AjKhPeSWvS6UB6dTF74CNSh8415U0FlCfooxYwFNIFgPST3VR0CCBoz4lij8I/dRlmiA4ZNSQ6oGjPiWWB5ALiNjQIdYLSYIkFDGCYER9CjG6CBw9Snv3dolTbdvSnBwoJmJ28NQW46boZQBG1KcUzHX8akA6dfQ+ANPSB65RlmoRZbIzUZ9CfSqA80amriDnOOpTEqVcXaaRKBCtrqoHjvqUVp6sPcgFRGzoEOuFJEESihhBMKI+hRjp1q20UyeXONWxIy0qggIibAdPbWF07h0NwIj6lDtwfcs2m624uNhms+k7jPmsSx94APpU8fIcW/ZsrliJ6aW9gjIAACAASURBVDUyPt93SeDmm5M6eST9VBflAhK4tPpU3Ulrc6tbUImiNWk/p9N57ty58Nx/SiVw1KfE5ivIBURs6BDrhSRBEooYQTAyfSo8f/hAAWR2ZJ2QH35IY2Nd4tRPfkIPH4ZlImZNVpJi0erWywCMqE/plj00HDIERPUppSzF7WgkI50+pQxcY7zYPDwJmFmf+s/uikef+GO37te2bdu2fYeO/QcMmjZj7sGjZ1qVpXgDqJympKSQC582bdp07tz5kUceqampgTKOdgIkgPpUgACxOxJAAkgACUhPwOmkr77asuHUPffQs2eljwgDMJYA6lPG8XY6nbW1teH5D85yB851JY0FZ3Zm7QfzAn9/n3T6lDJw406yII+E53ggCfBLn9J4DiqlUs/uvj3m0tKW7/Z17Nip53U3Lvzn0o1FO9Zv2rYoa9mdd41Y/MFHlVZbVXUjb1lptR2tbHD/ysu+x9F2JCUlZerUqZWVlceOHVu/fn3Pnj1///vfazMB0dqAtwtDuAlvQz1w1KfEiIftlVMMl0ovJKkCx/9DiNF/VuotkaQ6Hz+PSoaxoYGOGtUiTr3wArXb/QzTgGaSkTSAiNAQBmBEfUooM0KdDHhcU8gv3TtJH7jnb1r/anD/KbHnGXWfkboNIP1UFyUDErhp9ak7fj70qquuPnjkBy42scKJ080nrc3WmrOEkGkz5g4bfq8lLu5PL7xSabVNmz4npVuP6Ojoa6+9/p15WZVW12Pd5eXlhJDt27czzLW1tYSQgoICSmlBQQEhZPXq1bfcckvbtm3T0tJ27NjhNRspKSlvv/02PzR16tRevXrxr4YV1LdhMswN4wdSDxz1KbGMgFxAxIYOsV5IEiShiBEEI+4/FY4YT5yg/fu7xKmoKPrPf0IRgLKDpzYISQMwoj4Fkim/jBiQTr/8MLyR9IH7p0Z53qmB+hTqU4afbcEZEOQcN6c+tXv/yYiIiL/89XWFOMW+cn2qfYeOs2b/Y8t3+4q3l72XvSI6OvrN6e98s2X35KnTIyMjV378pT/6VGpq6rp163bs2HHPPfd069atubnZM53u+tSxY8fS0tIefvhhz2Z616jLNHqPHkT76oGjPiWWGpALiNjQIdYLSYIkFDGCYER9KuwwbttGr77aJU4lJ9MNG6DCB7SDpzYITAMwoj4Fkim/jBiQTr/8MLyR9IGjPqWRgFKYM3zKBWtA6ae6KDiQwM2pT33+xTeEkPeyV3B96vLkK+Li4+Pi459+5gWuTz3+5ATeoH/araPHPMq/3jvyN3feNcIffSo3N5dloLq62mKxLFu2zDMhKSkpMTEx8fHxsbGxhJABAwbU1tZ6NtO7Rl2m0Xv0INpXDxz1KbHUgFxAxIYOsV5IEiShiBEEI+pT4YXx449pXJxLnLrxRnrgAFTssHbw1AbhaQBG1KdAMuWXEbvdXlJSYjfTg7h++R1wI+kD16jO8Bup7NmzS5YtsQf8/r7cIUPe79Urd8iQgFPhnwHReH0G7t+wIdBK+qkumgOQwIcMye3V6/0hQ1o0Gq8/9fkcAyv4DpkJTEyfen/JSq43bfluX1Hxnp/27f/Yk8+ctDafrj5HCJk7P5s3uOyyy2fPfY9/nfr6zGtSuvujTx05coS706dPn4yMDP6VF1JSUl5++eUDBw7s37//q6++GjBgwKBBg4z/a8XpdNbX14fndooqgXudtOrLLJ5Z0xYM8B/kAmJagEY6hiRBaCNGEIyUUiQJQtLsGJ1OOm0ajYhwiVO/+AUNxr+Z+cnZ7CT9DCPYzQzAqL7wIMEmADy+erTAg6G5kCEQsF6j/C1tcjLhFq/J0xGu7nn9qa88lQKfq77xMoHJ1/N9tw66/bEnn2FtCCHuApZLn3r3fa5PTfnb31O69aCUHjlyhBCybds2NuapU6cU+08p9KkpU6Z4euf+fB+ldPPmzYSQL790PT+In6AT8DppZV94yO5/0GcFOoAEkAASCFkCjY30oYdcyhQhdPx4anPttokfJBAgAfWFB+pTAeK9pLvD4aiqqnI4HJfUhsEX6QMX/Q3syM6sylng8Oxu8qR7OqyxRhm4yeOFc0/6qS6KQo/Avf7UN16fqrTaBg/5RefOXRT7o3N9qqr6vEKf8ny+765f3E0pbWhoIIR8/vnnDPO6desU+hR/oK+mpiYuLo5/dU+LQp8qLi4mhHz22WfubQwoO53O5ubm8Lx/SiVwr5NWfZllQLICHMIA//W4gAQYtaTdkSRI4hAjCEZKKZIEIWlejKdO0f/9X5cyFRlJ584FCVZXI+YlqWvY0MYNwKi+8EB9CjKlBjyuCekunC3pA9eozvCf0MptmLgdOLa6WOJ+ihaUgevipRmNSj/VRaHqEbjXn/r85AIr+A6Z3wC1+du9HTpe2fO6GxcsytlYtOPrzbvmzFvcoeOVTz71LN9/yv3+qfeXrIyOjp42Y27h1lK2P3reJ/lsnIEDB9522227d+/euHFjWlqaQp+66aab8vPzd+7ced99911zzTVNTU2e3qWkpEydOrWysvLEiRNbt24dPHhw+/btrVarZ0tda9S3YdJ16OAaVw/c66RVX2YFNxx/RjfAfz0uIP6EFnptkCRIThEjCEbcfyrEMe7aRbt3d4lTiYn0iy+ggtXVDp7aIHgNwKi+8EB9CiSPLUYMSCeku3C2pA8cSqbhduDY6mKJ+ylaQH1Kl7yY2Kge57jXn/pgshSf276pcn2q0mor2XX0kcfGX5PSPTo6Oj4+4ad9+7+a8dbBo2e86lOVVtu06XNSuvWIjo6+9trr35mXVWltueO9tLR04MCBFoulT58+nvdPrVq16qabboqJienfv39JSYlX11JSUsjFT4cOHe6+++7t27d7balrpbpMo+vQwTWuHrjXSau+zApuOP6MboD/elxA/Akt9NogSZCcIkYQjKhPhTLGf//bJUsRQnv0oKWlUJHqbQdPbRDCBmBUX3igPgWSxxYjBqQT0l04W9IHzn/KaiwoZRreXSPb1enpK4YOXZ2errGfaHPup2hBGbioI9L1k36qixIHCTw9ffXQoSvS01czL7z+1Bd1UKSfuz7lq8z0qZPWZl8NeL26BwUFBYSQoLyJT90xX0fVZRpfvUKgXj1wr5NWfZllfiYG+A9yATE/SQM8RJIgkBEjCEbUp0ITo9NJZ8+mbdq4xKnbb6enT0OFaYAdPLVBIBuAUX3hgfoUSB5bjNjt9tLSUuNftAQZg5At6QMXlWns2bNLcxcH/v6++V26zCBkfpcuQvi1dxKNl9/bogxcuwuS9pB+qotyBwm8S5f5hMzo0mU+88LrT31RB0X6cWlJpcDe3xee+lRDQ0N47j+lErjXSau+zBKZmsb2McB/kAuIsVRMOhqSBEkMYgTByN7fF54/fKAAMjsmmpDNzXTcOJcyRQh9+GHqbRcC2NhhrZmIJGxgxlozAKP6wgP1KWMTjqOZk0DAeg0XbloKGsOUTp8KMF6NeLB5iBCQUZ9Ska4Uh9STJN39U+rhhO1R1KfCNvUYOBJAAkggxAnU1NA773QpUxERdPp06nSGeLwYXvAIoD5lHHuHw1FRURGe7++TO3BRfcqRnVmxdFHg7++TTp9SBm7cSRbkkfAcDyQBcupTzaeqGyoDfr4vEG5B6et0OpuamsLz/imVwFGfEpuNYXvlFMOl0gtJqsDx/xBi9J+Vekskqc7Hz6OmwLh/P73+epc4FR9PP/3UT8/N1swUJM0GRbs/BmBEfUp7WkR7GPC4pqhr+vaTPnBRfUq5DRO3o5G3dPqUMnCN8crbXPqpLooeJHAZ9Smo/adEwQetn/o2TEFzS/+B1QNHfUosAyAXELGhQ6wXkgRJKGIEwYj7T4UOxq++opdf7hKnunalPl7eAhWsrnbw1AbBawBG1KdAMuWXEQPS6ZcfhjeSPnCuK2ksKGUa3l1jClCf0ggsaM2ln+qi5EACR31KFH8Q+qnLNEFwyKgh1QNHfUosDyAXELGhQ6wXkgRJKGIEwYj6VIhgXLiQRkW5xKmBA2llJVRQQbGDpzYIdgMwoj4Fkim/jBiQTr/8MLyR9IFzXUljAfUpsf22DJ+hYANKP9VFSYAE7lWfamhoEHUq0H6KDaS8fsX7pwKlLFt/dX2qoaGhtLT0/Pnz7mGpL7PcW5qzbID/IBcQc9Iz2CskCQIcMYJgRH1Keox2O332WZcyRQh98EF66V9tUNEZaQdPbRDaBmBUX3jg/uggeWwx4nA4ysrKwnP/KbkD1yhL8d3BHdmZZR++F577T10SOORpZGpbeI4Hkh6FPsXeD2K1WgOxGUhfr4KUR2Xzqer68Nx/6vz58+G5/5RK4Far1fNlVerLrECmqDF9DfA/bK+c4BlEkiBIESMIRkopkgQhGRyMZ87Qu+9uEaemTg2N3dCDQxJkEpjJiAEY1RceqE+ZaTqgL8EiIKpPcaFKWdAYiHTP9wUYr0Y82DxECCj0KUrpiRMnSktLrVZrQ0PDecM/R0/UAf4x3H0c0FACDQ0NTJw6ceKE4oRUX2YpGpvwq+z+mxApuoQEkAASMDWB8nJ6880ucSo2li5bZmpX0blQJKC+8EB9CjLnBsiNkO7C2ZI+cFF9Cu+fahGq4OaSyS1JP9VF+YIE7qlPOZ1OJlGVBuOz5dtdfvzZWfxtyZZvd7baMhgR6Djm7t27//Of/+zevVvHMUxpWj3wEydOeN5Tpr7MEj3njOtngP8gFxDjiJh4JCQJkhzECIIR75+SFeM339AOHVziVOfOtLgYKgoz2MFTGyQLBmBUX3igPgWSxxYjBjyuCekunC3pAxfVp6D2nyrMyFj/3HOFGRlwOVG1JBovv21KGbjqaKF0UPqpLpoMkMAzMgqfe259Rkahwgu73W7onTAXB5u3orLVP/NXHF/x6dfzVxxvteVFqyHy/7q6us2bN9fV1YVIPH6HoRK43W5XTF32VX2Z5bWLqSoN8B/kAmIqaMFyBkmCkEeMIBhx/ykpMS5ZQmNiXOLUT39KKyqgQjCJHTy1QRJhAEb1hQfqUyB5bDFiQDoh3YWzJX3gonqNUqbhduDY6mKJ+ylaUAaui5dmNCr9VBeFGpKBz8ypbvXPrJxTOSs3zco51WpLUbQm7ReSGfeHtUDg6sssfwYNbhsD/BegGlwmph0dSYKkBjGCYER9SjKMDgd96aWWDad+9St67hyU/+axg6c2SC4MwKi+8EB9CiSPLUYMSCeku3C2pA8cSqbhduDY6mKJ+ylaQH1Kl7yY2Kj057g3tq1KTjNzqlGf8kYulOsEprr6Msv8sAzwX4Cq+bkFxUMkCYIdMYJgRH1KJoznztFf/7pFnHrpJepwQDlvKjt4aoOkwwCM6gsP1KdA8thixOFwVFRUhOf7++QOXFSmcWRnVixdFPj7+yBnoT+2ROPlz/cpA/dn0JBog+d4SKSxJQh/9KmZOacX5u6ZmXO61cahRIbtKiL3VV00HwLnuPoyS9QR4/oZ4L8AVePil2okJAmSLsQIgjEM/6aw22lBAV261PVfHw98i6DVdULa7bRoeUV1t76UEGdMDM3OFnFRkj66kpSEAYCbBmBUX3igPgWQRTQhPYGA9Rou3MixX3i4xSv9BMUAdCHQquSkqYEuLqJRGQioL7P0i+Ds2bMTJ0685pprYmNjb7311uKL29z+dwf3yZMnd+7cOTY2dvDgwbt27VL3IVj+q3uFR5EAEkACpiKQl0evvrrlDiRCXOW8PFM56MWZvDz6y47Fx0lnSsgp0v5XHb42v89ewsCqkCOgvvBAfQoy4Xa7vbS01NcWqpAjmcyW9IGL6jX27NmluYvt2bMD1Kfmd+kyg5D5XboYlFjReHmYysAN8jv4w0g/1UURggTu+f4+UXdg+vkjP83KOf3+8u9nhd/9UyAZh8mTsVYEAldfZunn/qhRo3r16rVx48YDBw5Mnjw5MTHx2LFjlNJp06a1a9cuLy9v586dDzzwQOfOnc+ePavihgH+C1BVcTicDyFJkOwjRhCMlNLwIZmXRyMifhSnCHF9jYiAkah0wpiXR39LljeQWErITnJTN3II0GeoKQRrRyeSsE6a35oBGNUXHqhPQU4SAx7XhHQXzpb0gYvqNcptmLgdjWyl06eUgWuMV97m0k91UfQggcupT+H+6KKTRs5+AlNdfZmlE4aGhobIyMjVq1dz+71793755ZedTmenTp2mTZvG6hsbG5OSkhYsWMCbeRYM8F+AqqefWIPb/UDNAZyQSFITAbv9kjunCGkRqiIiaNeuAA/66TEh7TbnjMSpzNHPyYh25AxzG8pnTQANa6wHScOcN89ABmBUX3igPgU5GQxIJ6S7cLakD5zrShoLSpmGd9fIFvUpjcCC1lz6qS5KDiRw1KdE8QehH0jGg+B3wEMKBK6+zArYI+8Gzp49SwjJz8/nhwcOHDh48OCDBw8SQrZt28br77vvvrFjx/KvrNDY2Hjm4qeiooIQUl1dbbvwYXtoOhwO9tVms7Eau92uUvPfhwqZesLbOC982NfGxsaioqLm5man08kb2Gw2Sql7Dbv93H1ozxo93GMuuTvMakzoHiPZ2NiI9PhEUp97XpPb2Ni4efPm5uZmbsRzpnnWhPnc46zc5x6fkGwvKt4mxOjl59u5JuVZyM//8droeRnxrPG8sNhstqKiInZe22w2AHp1dZU/f5CJU7PIs5HEpnCb++yPexIll01I9tcWn4145nIUnnPPa3Kbmpr4hNSJXnV1NSHkzJkzisUJ+4r6lFcsgpUC61rBkUzWTfrAua6ksYD6lBz7bcGdL9JPdVEUIIGjPiWKPwj9QDIeBL8DHlIg8KDoU5TSW2+9dfDgwcePH7fb7R988EFERMT1119fWFhICDl+/Dgn8fjjjw8dOpR/ZYXJkyeTSz/5+fmbL3zKysoopWVlZezr5s2bKyoqKKWlpaW8pqqqilJaUlLCa2praymlxcXFvKa+vp7B3Lx5c1FR0Zo1axobG+vr63kDtmFWbW0trykpKaGUVlVV8ZrS0lJKaUVFBa/Rwz1m3Gazmd89RrKoqAjp8SmhPve8Jnfr1q2bN2+2Wq3cCM49jsL9zPVKz33usQnJBPEQPnOnTNmv0Hfcv7722o9XS030GN6SkhKbzbZhw4aioiJWE+B177vVq8/edBMlpJlEPUEWuLvKy1Om7G81udw9iS7LRUVFX375pc1mw781Nm/eLPyX2uHDh9esWcMmpE5/5+bn56M+pViY6fXV4XBUVVUxoVGvMUxpV/rANcpSfBsmR3ZmVc6CwN/fJ939U8rATTkt9XBK+qkuCgUkcBn1qZk51nm5ZTNzrK1uViWK1qT9QDJu0thU3RIIPFj6VFlZ2e23304IiYyM7N+//+jRo1NTU5k+deLECR7lY489NmzYMP6VFQy+f6qpqenEiRN2u939bin3uzDYv+563jXgWaPTv+XabDYp7iNgJJuampAevyNA4P6ppqamqqoq91sCPWeaZ02Yzz0O3H3usQnZ3Nzs9S4M93shpaan9/1TDofj5MmT7LwO9P6pbducXbu6xKl2lw8hX3FBSlEI1funmpqaKisrHRc+fMZKPfdYFCwE90uWwHXP/cxlZj2vcqzGZrOdOHGCTUid6OH9U4pVGX5FAh4ERPUpLlQpCx4jqFdIp08FGK86DTwaqgTk1KeqW1WmWINQzRrG1SqBYOlTzLFz584xNWrUqFF33323n8/3uQcVXP/dPcEyEkACSMCEBNj+U4r90dkW6SD7T4GF/NlnND7e9Vjf9dfbS/ddfbVyT3cz+gwWPBqSiYD6wgOf74PMpd1uLykpYdIjpF3T25I+cFF9yp49u2TZkvB8f98lgZt+ikI5KP1UFwUBEriM+tSsnNPZK7aG5/v78K8zP08X9WWWn0YCbFZTU5OUlLRw4UK2P/pbb73FDDY1NZlhf3SQC0iAiEKjO5IEySNiBMHI3t8XJn9TsPf3uUtUgO/CA5iQTiedMaNFjvr5z2lNDaWudwsyJ/nNU4A+Q00hWDsAJGEdktOaARjVF06oT0FOHIF9KyCHD54t6QMX1adw/6mWG6mCN/cMHln6qS7KCyRwOfUpfH+f6KSRs5/AVFdfZumHYe3atf/+978PHTq0bt263r17p6Wlsadspk2blpSU9NFHH+3cufPBBx/s3Lnz2bNnVdwwwH8BqioOh/MhJAmSfcQIgjHcXiiZl3fJW/y6dnUJQCCfQCdkUxN95JGWdwo++SS98Lglc0w/n0ECBzcSKElwh+Q0aABG9YUH6lOQE8eAdEK6C2dL+sBRn9JIQCnMwc0lk1uSfqqL8gUJHPUpUfxB6AeS8SD4HfCQAoGrL7MC9singWXLlvXo0SMmJqZTp05PP/30Dz/8wJr+d1uKyZMnd+rUqW3btrfffvvOnTt9mrhwwAD/Baiq+xy2R5EkSOoRIwjGcNOnLtwvRgsK6NKlrv/a7VAUaUAT0mqlgwe7xKk2bWhmJr3wKlV3z+x2XXx2H8I85YBImieMYHtiAEb1hQfqU5BTwIB0QroLZ0v6wDWqM3z3JaVMw+1oZCvd/lPKwDXGK29z6ae6KHqQwFGfEsUfhH4gGQ+C3wEPKRC4+jIrYI90N2CA/wJUdQ9bzgGQJEjeECMIxjDUp6C4KeyIT8g9e+i117rEqXbt6Jo1CrNh+FWcZBjC8h2yARjVFx6oT/lOjvYjTqeztraW7aivvbfEPaQPnOtKGgvO7MzaD+Y5PXtpTOaRgoJDa9ceKSjQ2E+0uafDGmuUgYs6Il0/6ae6KHGQwAsKjqxde6ig4IioF8D9/Nv43DrnwyNh+P4+kIwDJ8wQcwKBqy+zDPE6oEEM8F+AakAhhW5nJAmSW8QIgpFSiiRBSApi/OILmpTkEqe6daO7doF4IrsRQZKyhw3tvwEY1RceqE9BpxTtyUhAozrD75/yWTA5hHCL1+TpQPeCRMA/fQrf3xek9MgzrPoyy/xxyO6/+Qmjh0gACSABYAJz59LISJc49bOf0VOngI2jOSSgMwH1hQfqU5D4bTZbcXGxzWaDNCqDLekDF9VrbNmzi5fn2LJnK4Uqk2dNNF4epjJwk8cL5570U10URUgG7o8+NSvn1L9WfjMr51SrjUXRmrRfSGbcH9YCgasvs/wZNLhtDPBfgGpwmZh2dCQJkhrECIKRPd8Xnj98oAAyO9ompM1Gn37apUwRQseOpY2NsM5IbU0bSalD1dN5AzCqLzxQn4JMrwGPa0K6C2dL+sBF9RrlNkzcDhxbXSxxP0ULysB18dKMRqWf6qJQQzLwViWnmTnVs3Lw/X2ik0bOfgJTXX2ZZX4MBvgvQNX83ILiIZIEwY4YQTDi/lNBwFhbS4cObRGn3nzTczd0KJcktYOnNkjiDMCovvBAfQokjy1GDEgnpLtwtqQPHEqm4XY0spVu/ynUpzRmWPrmIOe4jPtPoT4l/dzVGIDAVFdfZmkcPwjNDfBfgGoQQMgwJJIEyRJiBMGI+pTRGA8coDfe6BKn4uLoRx9BjR5KdvDUBsmmARjVFx6oT4HkscWIAemEdBfOlvSBc11JY0Ep0/DuGtni+/s0Agtac+mnuig5kMDx/X2i+IPQDyTjQfA74CEFAldfZgXske4GDPBfgKruYcs5AJIEyRtiBMGI+pShGDdsoMnJLnHq6qvptm1QQ4eYHTy1QRJqAEb1hQfqUyB5bDHidDrr6+vD8/19cgfOdSWNBWd2Zv2SOYG/v086fUoZOORpZGpbeI4Hkh4Z9amZOdbZS4+H5/v75L6qi85UgXNcfZkl6ohx/QzwX4CqcfFLNRKSBEkXYgTByN7fF55/U0ABZHZan5DvvUejo13iVP/+9MQJ2NFDyVrrJEMpWt1iMQCj+sID9SnI3DqdTpvNFp76lNyBa5Sl+DbhzuxMW/bs8NSnLgkc8jQytS08xwNJj6T61IXN0a2tblYVCBkT9sWp7n9S1JdZ/tsJVksD/A/b6QSeUyQJghQxgmBk+pTc638oEIHZUZuQdjt94YWWDadGjaINDYENFeK91UiGeOiQ4RmAUX3hgfoUZDoNuB0O0l04W9IHLqpP4fN9LVId3FwyuSXpp7ooX5DAZdSncP8p0Skjaz+Bqa6+zDI/CAP8F6Bqfm5B8RBJgmBHjCAY8fk+3TGePUvvvbdFnJo8GXdDbxU4ntqtIvKngQEY1RceqE/5kyZ/2xiQTn9dMbad9IGjPqWRgFKYM3a+BXE06ae6KDuQwFGfEsUfhH4gGQ+C3wEPKRC4+jIrYI90N2CA/wJUdQ9bzgGQJEjeECMIRtSn9MV4+DC95RaXONW2Lf3wQ6ixQtsOntog+TUAo/rCA/UpkDy2GDEgnZDuwtmSPnCN6gx/vk8p03A7GtlKt/+UMnCN8crbXPqpLooeJHDUp0TxB6EfSMaD4HfAQwoErr7MCtgj3Q0Y4L8AVd3DlnMAJAmSN8QIghH1KR0xbt5MO3Z0iVNXXkm3bIEaKOTt4KkNkmIDMKovPFCfAsljixED0gnpLpwt6QPnupLGglKm4d01skV9SiOwoDWXfqqLkgMJHPUpUfxB6AeS8SD4HfCQAoGrL7MC9kh3Awb4L0BV97DlHABJguQNMYJgRH1KL4w5Oa57pgihvXvTI0egRgkHO3hqg2TZAIzqCw/Up0Dy2GLEgO3EIN2FsyV94FxX0ljA/dHDbf8p6ae66FkPEriM+tTMHCvujy46a6TsJzDV1ZdZ5qdggP8CVM3PLSgeIkkQ7IgRBCPujw6P0eGgf/1ry4ZT991H6+qghggTO3hqgyTaAIzqCw/Up0Dy2GLEgNcxQroLZ0v6wDXKUvz5Pmd2Zv2SOeH5/r5LAoebSya3JP1UF+ULErik+tTspcdn5oTj+/vC863hAlNdfZkles4Z188A/wWoGhe/VCMhSZB0IUYQjEyfCs+/KaAAMjstE/LcOfrbjoMtWgAAIABJREFU37aIU5MmUbsddpRwsIanNkiWDcCovvBAfQokjy1GDLgdDtJdOFvSBy6qT+HzfeF2/5T0U130rAcJXEZ9Ct/fJzplZO0nMNXVl1nmB2GA/wJUzc8tKB4iSRDsiBEEIz7fB4jxu88+c/br5xKnoqPp++9DWQ43O3hqg2TcAIzqCw/Up0Dy2GLEgHRCugtnS/rAg61PwaXCP0ui8fIbx5TCnH/DhkAr6ae6aA5CMvCZOdWt/kF9SnTKyNpPYKqrL7PMD8IA/wWomp9bUDxEkiDYESMIRtSnwDBu3drYoYNLnLriCrpxI5TZMLSDpzZI0g3AqL7wQH0KJI8tRgxIJ6S7cLakD1xUr1HKNNwOHFtdLHE/RQvKwHXx0oxGpZ/qolBDMvBWxamZOdWoT4lOGVn7CUx19WWW+UEY4L8AVfNzC4qHSBIEO2IEwYj6FAzGvDxnXBwlxJmaSsvKYGyGqxU8tUEybwBG9YUH6lMgeWwxYrPZiouLbTYbpFEZbEkfeAAyTfHyHFv2bH5jkRzPu4nGy8O0Zc++JHAZZimIj9JPdVEKIRm4n/rUv1Z+c2GL9FZuthJFa9J+IZlxf1gLBK6+zPJn0OC2McB/AarBZWLa0ZEkSGoQIwhGpk+F5w8fGIBOJ33jDbbh1A8DB9qsVhizYWwFT22Q5BuAUX3hgfoUSB7RiOQEAtZruHATJvqUZPFKPj3RfZ0I+KNP+d9GJyfRrPkJqC+z0H/zE0APkQASQAJGE2hspGPHtuyG/swzNPxubjAaOI5nJgLqCyfUpyBz5XQ6a2trnU4npFEZbEkfuKg+5czOrP1gXuDv7yvMyFj/3HOFGRkGZVs0Xi5LKQM3yO/gDyP9VBdFCBJ4Rkbhc8+tz8goFPUCuJ9/2pN1zodHwvP9ffjXmZ8TTn2Z5aeRIDYzwH+QC0gQEZlnaCQJkgvECIKRvb8vPP+mCBRgVRX92c9c4lRkJJ03DydkoDwv9keSF0kE9H8DMKovPFCfCih/is4GPK6pGNEkX6UPXFSvUW7DxO1oTMz8Ll1mEDK/SxeN/USbcz9FC8rARR2Rrp/0U12UOEjg+P4+UfxB6AeS8SD4HfCQAoGrL7MC9kh3Awb4L0BV97DlHABJguQNMYJgxP2nBDHu3Em7dXOJU0lJdN06xCiI0Vs3PLW9UdFcZwBG9YUH6lOac6bSwYB0qowexEPSBw4l03A7GpOB+pRGYEFrLv1UFyUHEjjqU6L4g9APJONB8DvgIQUCV19mBeyR7gYM8F+Aqu5hyzkAkgTJG2IEwYjCigjGzz+n7dq5xKlrr6V79jALOCFFSHrrgyS9UdFcZwBG9YUH6lOac6bSwYB0qowexEPSB851JY0F5W1EvLvGZKA+pRFY0JpLP9VFyYEEjvqUKP4g9APJeBD8DnhIgcDVl1kBe6S7AQP8F6Cqe9hyDoAkQfKGGEEwoj6lDaPTSWfNom3auMSpO+6gbruh44TURtJ3ayTpm42GIwZgVF94oD6lIVutNrXb7SUlJXa7vdWWIdZA+sC5rqSxYM+eXbJsiT3g9/dJp08pAw+xCe07HOmnuu/Q1I+ABC6nPnU6e8XWWTmnW92sSh2gdEdBMi5d1JRSgcDVl1nmh2CA/wJUzc8tKB4iSRDsiBEEo9gFE2poyew0N9PHH3cpU4TQxx6jTU3u/uOEdKcRSBlJBkKP9zUAo/rCA/UpngsshDEBjbIU3ybcZ0EjS+n0KWXgGuPF5uFJQEZ9qlVZijcIz5xi1JRS9WWW+RHJ7r/5CaOHSAAJhDWB6mo6ZIhLmYqIoDNn0vB7j1ZYZx+D90ZAfeGB+pQ3ZqJ1DoejqqrK4XCIGpC1n/SBi+pTjuzMqpwFDs/uGjMpnT6lDFxjvPI2l36qi6IHCVxOfco6L7csDN/fB5Jx0ekWzH4Cgasvs4IZjH9jG+C/AFX/fA+7VkgSJOWIEQQjpRRJtk5y3z563XUucSohga5a5bU9YvSKRaASSQpA8+xiAEb1hQfqU55JEa8x4HFNcef07Cl94J4Ck381uP9Uy41Ues4uU9mWfqqL0gQJXEZ9albOqZyVm2blnOL3SfkqiKI1aT+QjJs0NlW3BAJXX2apjmaKgwb4L0DVFGjM5wSSBMkJYgTBiPtPtY4xP59edplLnLrmGvqf//hqjxPSFxmt9UhSKzGv7Q3AqL7wQH3Ka14EKw1Ip6BnOneTPnD/1CjlQ23ZmahPoT6l87llFvMg5zjqU2ZJpx9+gGTcj3FM10QgcPVlluki9HDIAP8FqHq4iRUuAkgSZB4gRhCMOCFbwbhgAY2MdIlTt95KT55UaYwTUgWOpkNIUhMuX40NwKi+8EB9yldqROoNSKeIW/r3kT5w1Kc0ElAKc/rPMZOMIP1UF+UIEjjqU6L4g9APJONB8DvgIQUCV19mBeyR7gYM8F+Aqu5hyzkAkgTJG2IEwYj6lE+MNhudONGlTBFCR4+m58/7bHnhAE5IdT7+H0WS/rNSaWkARvWFB+pTKtnRfMhut5eWlobn+/vkDlyjOsNvpLJnzy7NXRz4+/tWp6evGDp0dXq65jkn1kE0Xp+Bi7khYS88xwNJWnr66qFDV6Snrw7ECGBfX0/qudfPyjn9/vLvw/P9fXJf1UUnisA5rr7MEnXEuH4G+C9A1bj4pRoJSYKkCzGCYGTv7wvPvynUAP7wAx0xokWcev11f3ZDxwmpxlPLMSSphZbPtgZgVF94oD7lMzd4IIwIBKzXcOFGjufdwi3eMJrKGKoGAu46VOBlDQNj09AioL7MMn+ssvtvfsLoIRJAAuFC4NAh2quXS5yyWOjKleESNcaJBDQSUF94oD6lEadqc4fDUVFREZ7v75M7cFG9xpGdWbF0UeDv71OdVjocFI2Xy3DKwHXw0Zwm8Rw3Z17EvPJPkzq9MHfPzJzTrTYW88G0vXCq+58a9WWW/3aC1dIA/8N2OoHnFEmCIEWMIBjZ+/vkXv9DgWB2vv6atm/vEqeuuop+953/tnFC+s9KvSWSVOfj51EDMKovPFCf8jNTfjUz4HFNv/wwvJH0gYvqNcptmLgdw1OgbUDup2hBGbi24SVuLf1UF2UfkoG3KjnNzKnG9/eJThlZ+wlMdfVllvlBGOC/AFXzcwuKh0gSBDtiBMGI+0/9f/bOBD6KIu3/CRAF5fDE3Q0qrq646ruvuq677/r5q/EKhwp4AoqgCYHhvg+5b0iYHFzhCmSAAeRwvVdWFDxIBAWDR0ANxxCukIRAIJBkjue/lR46nZ6emu7qZ3qmZ2o+fLS6uuqp5/k+NUnxo7q6AUabDa64gohTf/0rHDvW4FagCz4hAxFSe5+TVEuK2s4AjPSFB9enqPnReNOAdGr0yKDmpg8cS6YR7RgEnnUY0U/WAtenWNGbtZ/pv+NK4Lk+pUTFWxeRGafEK95iCJy+zBIth23BAP8ZqIYtrtA6xkmi8OcYUTByfcqL0e2GsWO9B0698AJUVWnFyyekVmL+2nOS/shoqjcAI33hwfUpTfkK0NiAdAbwIES3TR84lkwj2tGYiA0JCSvvvntDQoLGfqzNRT9ZC1yfYkVv1n4o3/GEhA13370yIWFDmFDg+hQlESgZp9gP21sMgdOXWWEbqeiYAf4zUBXd4wUpAU5SSoO5zDEyo5N15CThwgXo2tUrTo0fD263DJGaS45RDSU1bThJNZQCtjEAI33hwfWpgDnS0MDtdhcVFUXn+VPmDpxVpnHbMovW5+g/fyo7Pj4tJiY7Pl7DbNPTlDVe6flTDQLX44yp+vLvuJ50xcdnx8Skxcdn6zGC2FeNPmW1l654+4foPH/K3D/VWScKw3ecvsxidcS4fgb4z0DVuPhNNRIniZIujhEFo3D+VHT+pvACPHoU7ruPiFNXXAFr1jBT5ROSGZ2sIycpA8J2aQBG+sKD61NsieO9IouAbr1GFG7Y3t9nOn1KZ7yRNXt4NGoJmFOfKlcnY5WrpcDbRRwB+jIr/MM1u//hT5h7yAlwAhFIYNcu+N3viDjVujXk5UVggDwkTiBoBOgLD65PYYI3QG7EdBfPlukDZ9Wn+P4pNj0Ob+oZbcn0U50VGErg5tSn+P4p1kljzn4MU52+zAp/DAb4z0A1/LmFxENOEgU7x4iCMar3T23YAE2bEnHq3nvhyBGdPPmE1AlQ7M5Jiij0FAzASF94cH1KT/rkfQ14XFM+ZHhcmz5wVn1KfgyTaEdjXky3f0oeuMZ4zdvc9FOdFT1K4GbUp/j7+1injFn7MUx1+jIr/EEY4D8D1fDnFhIPOUkU7BwjCsYoPR/d44EpU7wHTnXqBJWV+mHyCamfoWCBk0QhaQBG+sKD61MoefQaMSCdmO7i2TJ94KKupLEgl2nE7hrZcn1KI7CQNTf9VGclhxI416dY8YegH0rGQ+C37iEZAqcvs3R7FHQDBvjPQDXoYZtzAE4SJW8cIwrGaNSnLl6Ebt284tSIEeByoZDkExIFYzROSCxwDe0YMCHpCw+uTzVMiL4rA9Kpz8Fg9TZ94KKupLHA9aloe77P9FOd9WcASuBcn2LFH4J+KBkPgd+6h2QInL7M0u1R0A0Y4D8D1aCHbc4BOEmUvHGMKBijTg44eRL+/nciTjVpAitWYDGMOoyI4HxM8a+2DxKWCgMw0hceXJ9iSZu/Pm63u7i4ODrf32fuwDXKUuLp4G5bZvG65dH5/r4Ggfv7SkRcPf+O60mpGfUpq7106Yb90fn+PnP/VGedqQzfcfoyi9UR4/oZ4D8DVePiN9VInCRKujhGFIzC+VPR8puioABuvpmIU9ddB9u3YwEU7PAJicWTk0QhaQBG+sKD61MoeeRGTE6AVZ8ShSp5QSMP0z3fpzNejXh48wghYE59ir+/L0KmX/DCoC+zgjculmWz+4/FgdvhBDgBTkCZwHvvwdVXE3GqXTv47TflNryWE+AEVBOgLzy4PqUapIqGLpersLDQhfQ0sooBw6WJ6QNn1adctqzCDbkuW5ZOvcZ0+pQ88HCZiUH3w/RTnZUQSuBm1KfS7aUrN+5Jt5da7QGEKla0YdoPJeNhGhvVLYbA6css6mhhcdMA/xmohgWa8HOCk0TJCceIghEAIp+kxwNz50JsLBGnnnwSzpzBQie1E/kYpdEGs8xJotA1ACN94cH1KZQ8eo0Y8Lgmprt4tkwfOKs+hXX+VMHSpd9arQVLl+LlhGqJNV5RhpMHTh0tkm6afqqzJgMl8KVLC6zWb5cuLWD1ArlfQMnJai/n7+9Dhh725himOn2ZFfYRgwH+M1ANf24h8ZCTRMHOMaJgjPyDk2pq4I03iDIVEwP9+0NtLRY3mR0+IWVAmC85SWZ00o4GYKQvPLg+JU2H3rIB6dTrYnD6mz5wVr1GLtOIdoLDGc2q6CdrQR44mmfhbsj0U50VcEQGzvUpynSIyIxT4hVvMQROX2aJlsO2YID/DFTDFldoHeMkUfhzjCgYI1yfKi2F//f/iDLVqBEsWIBFTNEOn5CKWBgqOUkGaL5dDMBIX3hwfco3Kew1BqST3blg9jR94FgyjWgnmLQRbIt+sha4PoWQBVOZMP13XIk216eUqHjrIjLjlHjFWwyB05dZouWwLRjgPwPVsMUVWsc4SRT+HCMKxkjWp37+Gf74RyJOtWwJn3yChcufHT4h/ZHRWs9JaiWm2N4AjPSFB9enFPPCWOl2u0tKSqLz/X3mDpxVpnHbMkvsS/S/v49xwjF3Y41XfL5PHjizJ2bryL/jZssYzV81+pTVXrZ4Q5HVXhawMW0kE97jU1190ujLLPV2QtXSAP+jdjqh55STREHKMaJgFN7fZ+71vyKIf/+byFIxMUSi+vlnxSa4lXxCYvHkJFFIGoCRvvDg+hRKHrkRkxPQrdeIwo23oJHH+RMnKouLz584obEfa/NQx8vqN+9nbgInTpwvLq48ceJ8mIQRUHLS1CBMguJuGE+Avswy3h+tI5rdf63x8vacACfACSgT8Hhg/nzyQF9MDHm4r7RUuRmv5QQ4AX0E6AsPrk/po9uwt8vlKigoiM7395k7cFa9xmXLKnh7dXS+v69B4A2/CBF8xb/jepJr0vf32Tbtis7395n7pzrrTGX4jtOXWXRH9uzZ88MPPwht3n333c6dO48bN66mpobeC/euHv9VesJAVaXlaGvGSaJknGNEwSi8vy9yflPU1oLFQpSpmBjo3Ruqq7EoBbTDJ2RARCobcJIqQdGbGYCRvvDg+hQ9QdruGvC4pjaHjGpt+sBZ9Sn5MUyiHY3ks+Pj02JisuPjNfZjbS76yVqQB87qiOn6mX6qsxJHCdyc+tRp++Yv0+2nA+6lYkUbpv1QMh6msVHdYgicvsyijgYPPvjg5s2bAeDgwYNNmzbt3r37HXfcMWTIEHov3Lt6/FfpCQNVlZajrRkniZJxjhEFY0SdP3XmDDz5JFGmYmMhNRU8HixEauzwCamGkpo2nKQaSgHbGICRvvDg+lTAHGloYEA6NXhjYFPTB44l04h2NMLn+pRGYCFrbvqpzkoOJXCuT7HiD0E/lIyHwG/dQzIETl9m0T1q2bJlUVERAMyZM+fpp58GgK+//rpNmzb0Xrh39fiv0hMGqiotR1szThIl4xwjCsbI0ad+/RXatSPi1NVXw7vvYsFRb4dPSPWs6C05SToflXcNwEhfeHB9SmWmVDUzIJ2q/DC8kekDF3UljQX5NiKxu8YUcH1KI7CQNTf9VGclhxI416dY8YegH0rGQ+C37iEZAqcvs+getWjR4tdff/2vLPXkk09mZmYCgMPhaNq0Kb0X7l09/qv0hIGqSsvR1oyTRMk4x4iCEVefcrlg+3ZYt4781+XCclCFne3b4dpriTh1883w/fcqOuA34RMSiykniULSAIz0hQfXp1Dy6DXi8XgqKio8xm4KxQyA1ZbpAxd1JY0Fjy2zYs1ijy0TcjPIH7G7RpKm06fqAxdC1hiveZubfqqzokcJ3Iz6lNVetmC9Iwrf34eScdbpFsp+DIHTl1n0YBISEl5//fXVq1fHxcX99ttvALBjx45bb72V3gv3rh7/VXrCQFWl5WhrxkmiZJxjRMEIAFgkt2yBNm2IRiT8adMGtmzB8pFqZ/lyaNKEjPr3v8PJk9SmQbyJhTGILprENCeJkigDMNIXHlyfQskjN2JyAqKupLWwcCq89SYMeh76dCR/hr4ME1Mge4ZWHKbTp+qVuCjTp7RmlreXEjCnPlUe8OQpoYE0Ul6OKgL0ZRYdxb59++69996WLVtOmTJFaDlw4MDu3bvTe+He1eM/rifcGifACUQhgS1byKFPojglnAEVGxtkicrlguHDvaN27w4XL0YheR4yJxAqAvSFB9enMPPidDp3797tdDoxjZrBlukD1ypL2TJh2RwY0QOSEpX/LJgCpRr+HcZ0+pTTlrV7o91py/IKVWaYpSg+mn6qs1JACdyM+lS6/fTazV9H5/no/NeZyq8LfZml0ojY7NKlS7W1teKlAQVc/xUdRvkBomg52io5SZSMc4woGIXn+3T+pnC5GuycElWq2FjyvF2wHvSrrIRnnvGKU1OnGnwaui98PiF9mbDVcJJs3GS9DMBIX3hwfUqWEV2XBjyuqcu/oHU2feBa9amsidDvWUhK9CS3L53Qz5UxAZbMJNum0sbA6J5exWpAV/j6Pyp/5xmqT7ndsHg6zB0JqaMgcwKsSJNvhlJBQ37wVtCmVrgZNv1UZwWKErhJ9Sn+/j7WWWPKfgxTnb7MCkihoqJi+fLlY8eOLS8vB4A9e/YcO3YsYC/EBjr9V+MJA1U1ZqOwDSeJknSOEQUjyvlT27c32Dkl6lNCYft2LE8ldo4cgf/5HzJq06bw9tuSGyEr8gmJhZ6TRCFpAEb6woPrUyh59BoxIJ2Y7uLZMn3gKhSZehEnfRwktSci1OAXnUtm5W9aV7+NSLCTPQNmD/OqVGsXgjvwMY8G6VOXquCDdeQhROm2rz4dyTOJS2fXB6iCBten8L495rCE8h3n+pQ5kl3nJUrGTRSv6CpD4PRllmhZsbBv374bbrjhjjvuaNKkycGDBwFgwoQJPXv2VGwcpEo9/qt0iYGqSsvR1oyTRMk4x4iCEUWfWreOpk+tW4fl6WU7O3dC69ZkyN/9Dnbtulwb4v/zCYmVAE4ShaQBGOkLD65PoeTRa8SAdGK6i2fL9IGrUGS88s38ydCnA9F3xvaGlVa5TCPacbvgAzsk18lYi6dDbQ0dthH61LdfwpDLylSfjjC8O3k+cUAXr1aV0gkyxquXqOSB08OLoLumn+qsuUAJnOtTrPhD0A8l4yHwW/eQDIHTl1l0j5544olRo0YBQPPmzQV9aufOnZF3PjoDVTq3qL3LSaKknmNEwYiiTxm6f2rNGrjiCiJO3XcfFBdjQdBvh09I/QwFC5wkCkkDMNIXTlyfQsmj14jH46mqqorO9/eZO3BRV6IXlsyEvs8QQWfUa5CbDrZMjy2zavUC8v4+2R9hRuzaASmdSPusieCknSdSfuBA6U8/lR84gDkdRVu1NbB2oVeHGvcGfPM5rCLOkz+5GeQRP++OqvYwZ7g8EFlcly/lgYtjRXqBf8f1ZPjAgfKffio9cIA8xBQOH3UHn5dlrTsene/vM/dPddYZxvAdpy+z6I60bNmyqKhIqk8dOXLkyiuvpPfCvavHf5WeMFBVaTnamnGSKBnnGFEwCu/v0/mbQjh/SnY+unBEOub5U243vPWWd6dWly5w4QIWARQ7fEKiYESZkFiemNqOAROSvvDg+hTm/PF4PE6nMzr1KXMHfll2oakzuekw9BWi8gx9GVZahZYeW6bTluVXnwKAwr3CSVWQPVPNg36Y01GwdamKnIolPNC3OQeEw/tl8a6ykrcQCm2s42gQLneUB47vd5ha5N/xME0Mk1sq9am6w9HLAjZmciF8O/Gprj439GUW3U7r1q337t0r1ae2bt3apk0bei/cu3r8V+lJ1E4nlXzUN+Mk1bOitOQYKXA03UIhKby/TypRxcaSN/pt2aLJF/+NL1yAF17wilNjx4Lb7b9paO6gYAyN62E2KieJkhADMNIXHkHXpxYtWtS2bdsrr7zygQce+PLLL32pnThxonv37nfeeWdsbOyQIUOkDVatWhXT8HPp0iVpA98yPVrf9rg1BmyHw3UYy5rpA78su9CkmWkDiYKT0kl6VJP8MTfRjpTsj996d1GtzlJ5XLq0t67y+XMwYzBxu38X2PdNvSnRT7GQm0FOoSIBdiQHvYv1fgrywOtNR3jJ9FOdNT8RGXhAyclqL0+3n+bno7POGlP2Y5jqehYeffr06dKlS21tbfPmzQ8dOuRwOO6//37ZWijYHPX4r9I3BqoqLUdbM04SJeMcIwpGlOf7BE+2bGnwFr+bb8YTp44dgwceIOJUXBzk5mIFjmuHT0gsnpwkCkkDMNIXHsHVpzZs2BAXF7d8+fLCwsIhQ4ZcffXVDodDBu7w4cODBw+22Wz33XefbE22atWqli1bnpR8ZH19L+nR+rbHrTEgnbgOY1kzfeB+VJh6mWbhVO+Z6Kmj6ivrNk8pnI9uy5SD/e4r71lUW7H+MUg+gsL1xQswdQCRnIa8BId/adBAMd5V6TC8G2k/8Hlxg5g0WGmZ61MNeEbBhem/40o54vqUEhVvXURmnBKveIshcD0Lj3Pnzj388MPXXHNN48aNb7755ri4uEceeeSCsc+e6PFf5EYvMFClG4zau5wkSuo5RhSMiPrUf18N4XLB9u2wbh35ryvwi4XURfDdd/CHPxBx6oYb4Kuv1PUJQSs+IbGgc5IoJA3ASF94BFefeuihh/r16yeSuuuuu8aOHSteygqPPvqorz7VqlUrWTP6JT1ael/9dw1Ip34ng2HB9IEr6jViZW4GDKt7sm9sL3Jgk1ivXp8CgK1biPST3B6+z/NNQaHdvm/58kK73fcWY01tjfexviEvw/EjciOSEKThwPK5YHmO+Dl1QIN6n/Zcn5IjjfRrlO+43V64fPk+u70wTGhxfYqSCJSMU+yH7S2GwPUvPD777LO0tLS5c+d++umnxpPR739AnxmoBrQZnQ04SZS8c4woGHH1KSyX6u1s2gTNmhFx6u67oe7tqPW3wqzEJyRWQjhJFJIGYKQvPIKoT9XU1DRu3Pidd94RSQ0ePPiRRx4RL2UFRX2qcePGt9xyS3x8fKdOnYQzGmS9AKC6uvrc5U9xcXFMTEx5ebmz7uOue8bY7XYLl06nU6hxuVyUGuEAKbGBcLKS8CimWOmp+4iXzrpjfWpra/Py8qqrq51Op6tO/JcO7VtjsHvSEHyd8a1R7151dbUYODO94LknTbeye3VKk9OWJfzx1B18Ll660kZDUqKnT0fnsrlCpcuWBbZMty2z2jY/b9O6att8scbb6/JMq58AtbXkmKqkRE//zs5DvwgzR5yN4vv7lN2rO9dMnGyKc68BvdoaWDy9bqwuzqJChdloy3LXSU5uSeBCjWveWNIxuYNzyWxvzWUs4klbTluWGLiXlehc3flrUmeEr4a0xnem+daon3uBk6uVHvWbK0z1mhryQsb65F5Ot9QZMbkiG5zkUt2Tzitc94TAa2trpanUmlzp+/tw3RMCD/zVaEgv3X463V5ap1KV1pVP1x011aAmw37SvvkLoaWkDTmOKt0u7VUmrNSl6Zax0uqewjf38kwzgF51dXV+fn5tba0Yke/31LcmbL+56r8aNTU1+fn5wu9xcV7Rk1teXh4TE3Pu3Dnf9YkpaujLRJQQDFjsovgZ/kY4SZQccYwoGMNXn/J4YMYM74FT7dvD2bNY8QbJDp+QWGA5SRSSBmCkLzyCqE8dP348JiZm586dIqmZM2feeeed4qWs4KtP5efnr1mzpqCg4Msvv3zhhReaNWv266+/ynr993Ly5MkNT6mK2bZtW37dR3gtTlFRkXCZn59fXPcQHAWuAAAgAElEQVQ+0cLCQrGmpKQEAAoKCsSaiooKANi9e7dYU1VVJaRKrHE6nVVVVeLl7t27AeDMmTN5eXlCZUFBAQCUlJSIbQoLya6B4uJiscZg9yoqKsSh0d0TA2emF1T3xMCV3bNl5W9aJ/5x2rKqVi8QLnett9UM6ApJiRdnDBUbFLy9GmyZJfYl+ZvW5dV1LNyQC7bM4nXLvW3y8xWSe+QwWMdBUmL1oBe/27Y1Pz9fnHtZN96YFhOTdeONyu45naL/+fn5inOvnl5eXmnGZKIxpXT6ebNd6Cife5vWFa3PAVtm0focMajidcvBllm4ftXZ0b0hKbF8XHKJfQnYMgveXi22qVizGGyZuzfaxcCrVi8ge6kknwDu5eejzz1xcAR6KtzLy8tTSG4wf7DUJ1eFe/mKcw/Dvby8vNraWt+fe+rdu/HGrJiYtJtuWgAAhv1Yprhn3/zlyo17rPbypRv22zd/KfxZ8fYPVnv5ird/uFzzxdINP1vtZSs37rlc8+XiDUVWe7lt0y6xZsF68ug6w28Ninv5+fnyb27Qkqv4g8XpdJ45c0b8fpn9m6vyq3Hq1Cmn06lpSbBt2zat+lRWoI/vUid4NfRlIsq4glYraPQoBqPWCCeJknqOEQWj8Lq0sHs/0qVL8OqrXnFqyBDve4GwAg6OHT4hsbhykigkDcBIX3gEXZ/Ky6t/mmnGjBnt2rXzB85Xn5K2dLvd//u//zto0CBppVAOn/1Tbre7srJS+Adn339Y9q2JgH9qFkJwOp1i4KbcJCLZRiTsEhLeT+e0ZbmmDSLPu/Xv4lllrd9RdXn/VK0tq3L1wlpbVuD9U8LGh6rzngnJRDya2t954by4xQZx/5T7nVzhQUL3rh1+Nz5Q9k/ZspyLZ3iS20NSojtrItgyXUr7p8TAo23/VG1tbWVlpb/vcgTvnxICd7vdwi8tcWqJy1OhxpeMtMaM+6fS7SVZ64qt9jLZbqmI3z8laJHSjVrSVPpLdwT8UnO5XMK/SImTPOAvNYb9U22pn9tuu813qRO8GvoyEWVcA15WjeJn+BvhJFFyxDGiYBQWAFVVVWEkPZ86Bf/3f0ScatwYlizBCjPYdviExCLMSaKQNAAjfeERRH1K//N9MsTJycnt27eXVcou6dHKGqNfGrAdDt1nFIOmD9znfCXv6Us5adD3GSL3pI1WPI9JfgyTaIeC9fRJGPoysblgMri9J0CK+hSln6pbOz4klpMS4fMPaO1FP/0VJvQhRka+qhg1+B68RRssou6ZfqqzZgMlcKk+xeoIZj9+/hSFJkrGKfbD9hZD4KFdeOgnaYD/DFT1xxWRFjhJlLRyjCgYw+75vh9+gFtuIeLUNdfAtm1YMRpgh09ILMicJApJAzDSFx5B1KcA4KGHHrJYLCKpP//5z5rORxc7Cgr9gw8++MYbb0grfcv0aH3b49YYkE5ch7GsmT5wfzLN9IFEphn4vOxYdFG1YdGnyKNNP3tlr/Xef9vB0af27oTkDsThf9kCZNZfvGL90lne9xUunCoGKy3IAw8wXuTcNv1UZ00FSuBcn2LFH4J+KBkPgd+6h2QIPLQLD90RgwH+M1DVH1dEWuAkUdLKMaJgDC996oMPoHlzIk796U9w4ABWgMbY4RMSizMniULSAIz0hUdw9akNGzbExcXl5OQUFhYOHTr06quvPnKEvEps7NixPXv2FAl+X/f561//2qNHj++///7nn38Wbk2ZMuWTTz45ePDg999//8YbbzRp0mTXrl1iL8UCPVrFLoiVBqQT0VtEU6YPXNRlpIWceV4VKXWUVJqRluUyjdg9INzdXxAhKSkRPnsPABD0qV9/gn7PEoOr0sHjCTC+6CelMO4NYm1ML2m8YlkeeIDxIue26ac6aypQAjejPmVdW7J205d156aX0/dbsaIN034oGQ/T2KhuMQTOsPAYNmzYhQsXAGCYnw/VR+SbDP5r9YCBqtYhoqQ9J4mSaI4RBWO46FMeD8ybB7GxRJx6/HEoL8eKzjA7fEJioeYkUUgagJG+8AiuPgUAixYtuvXWW6+44ooHHnjgiy++EKj16tXr0UcfFQnKTje/9dZbhVtDhw695ZZbrrjiihtvvPHpp5+WHmUl9pUV6NHKGqNfOp3O3bt3C++0QjcezgZNH7iiTDOj7uQp/5unhMfcdm+0O+uOoxK1G1JQ8/loPRGAkjvAvl169anjDhj0ArGWNQnq3lAWYHzFeGWVdW8AJDazZzYIra6Z05bVIPAA40XObdNPddZUoARuIn1q8rLTvaYc7zyy+MkBjicHHOk88ujrU45PWnqaIlGxog3TfigZD9PYqG4xBM6w8HjssceE9zk85udD9RH5JoP/Wj1goKp1iChpz0miJJpjRMEo6FMh/otPTQ0kJRFlKiYGUlKgthYrNCPt8AmJRZuTRCFpAEb6wiPo+hQKJvVG6NGqt8NbRhcBmTRjyyS7kCzPEXVm7khfdSZwjRp8Hg+sspIhLM/9654/pcXEZMfHq+knb3P6JIx6jdiZOQSqL8nvKl77xqtYI5id1BcnXkVPeGU0ETCFPjU9p/Tlt44lWByKf15569i0FaWKKlU0ZZLH2oCA2RceZve/QTL4BSfACUQPgbIyePRRokw1agQZGYGfHogeMjxSTiC8CdAXHlyfwsyex+OpqKgIo9dYYAZHs2X6wH3VmdRRgnJEhCrfu5drPLbMijWLPZcv61vSaEnuOWsh/S1ISqzp9eSaG1qx6FNEnOpJXB2fBJVnJaapRV+HFWvqfCMPOa6y1odW11IeOHW0SLpp+qnOmgyUwMNfnxo9v+TpQV5lqsfE46Pml0xdcXrOSseo+adem3RcUKyeGugYvaDEV6JiRRum/VAyHqaxUd1iCJy+zKKOBm+88UZlZaW0zYULFwIetSltr7+sx3+VozNQVWk52ppxkigZ5xhRMAqnA4fsLz7798PttxNxqkUL+OgjrIhCYodPSCzsnCQKSQMw0hceXJ9CyaPXiAGPa2K6i2fL9IHL1JncDBjyEhF9pg2U6TKyS/kxTKId9WyrL0GdFlb9+pNbH/2H+n6k5bHD3p1Tb70JFWUa+op+0gu5GWDpTDj4vL5QHriGsc3d1PRTnRU/SuB//evq+Pjsv/51NasXyP1kGtPAtJOCAtV1VPHUy5uk0u2n7Zu9509NW1H6/Ohioc2A1JOy7sjOhdocSsZDHQTL+AyB05dZdCcaNWpUUlIibVNaWtq4cWNpTbDLevxX6RsDVZWWo60ZJ4mScY4RBWMoz5/6z3+gVSsiTrVtCz/+iBVOqOzwCYlFnpNEIWkARvrCg+tTKHn0GjEgnZju4tkyfeAymWb+JCLKJHeA5XNlgpTsUi7TiHY0sb10EeaMICP2fQZ2bVfb9ac9MLAr6TU+SZs4BSCLgnY5dQAZYkQPWRt54GqdNn0700911gxEZOBSgWmw9ZQgPL0x7UTamjLxllSfstrL09aU9Z7q3Ug1NP2U2MxqN9+BrPS5EJEZp4cs3GUInL7M8jfouXPnzp49GxsbW1RUdO7y58yZMzab7fe//72/XsGoZ/NfkycMVDXZj57GnCRKrjlGFIwh06cWLYLGjYk49fDD0FDfx4rLYDt8QmIB5yRRSBqAkb7w4PoUSh69RgxIJ6a7eLZMH7ioKwmFMb28uo+s3udSLtOIDbSyrakG8TzyNQsCHCPlrIV3VkGfDsTJOSPg/Dmto8nEJtrl0tlklKREWNLglHR54Jo9MGsH0091VvARGbioLo3I9IpTyTNOzFtbL05Z7eUyfcpqL5+3tixpxglBzBo1v/5BP1a0YdovIjOuhjVD4PRllr9BY2NjGyl9GjduPGPGDH+9glHP5r8mTxioarIfPY05SZRcc4woGEOgTzmdMHAgUaZiYqBnT6iuxgoktHb4hMTiz0mikDQAI33hwfUplDx6jbhcroKCApeaF6hhDht6W6YPXNSVbJlkz1Rye6LILJpGE27qurhsWQVvr3axvb9Plje3CzYu94pB496Abz4Ht0vWBNxu2JsHk/p6m+XMg9oaeRs119J4A5ZHvkqGmzpASkMeuJpBI6KN6ac6axYiMnBBn5q87PQTA8iZU72nycWpOn2q1LZpV7q9wZno89aWvT6Z7KJ6cqBDfBKQFW2Y9ovIjKthzRA4fZnlb9AdO3Zs3749Njb2nXfe2XH5k5eXd/z4cX9dglTP5r8mZxioarIfPY05SZRcc4woGAHAUJJnz0JiolecmjUrkk5DNxQjVu7D0g4niZIWAzDSFx5cn0LJIzdicgJSjWb6ICLHDHtFKsdoLjPz+HkPCHpQUiKM7Q32ReSJv+/zYfcXsGEpeZRP2M005GX49kvmQbSFIxwVP/B5yM3w25HdFd6TEwgZAau9fK6t7JnhRxMsjpfGHZPtnBJ3VykW0taWvTCGnEXVZWRxat3zgCELgw8cagL0ZRbduyNHjrjdbnqbYN/V43+wfeP2OQFOgBMgBIqK4M9/JuLUVVfBli2cCSfACZiaAH3hwfUpzOS63e6SkpKQrzUxQ1Jny/SBi/pUbgb070I0oLkj/WoxYmNbptuWWWJf4pbUeHup4ya22pqS8t6LL25NSSE1VRfgA7v3gHZBjZL+d2BX2JwDlRViX5aCr8OUmpw0chRXww1l8sBZnDBlH9NPdVbqKIGnpGx98cX3UlK2snqB3M9qLxfeytdhyNFZuQ0e65NoUmWLNxRZ7Qp3Z6wsFV729+b0E5F3/hRKxpETZog5hsDpy6yAXldUVGzdunXNmjU2ySdgL8QGOv1X4wkDVTVmo7ANJ4mSdI4RBSMAGETyiy/g+uuJOBUfD3v2YDkfPnYMwhg+AQfNE04SBa0BGOkLD65PoeTRa8SAxzUx3cWzZfrARXUmYzwRYvp2gpVWNfqU/Bgm0Y5Gttnx8WkxMdnx8fX9Ll2Eb7+AtQth1jCYMRhmDoHV8yH/M6Je6f+IfqosjH6dYJliEZnIA9fvkkksmH6qs3JGCTw+PjsmJi0+PpvVC+R+o+eXCMdIjc8+LRGkyqVl3/OnpHelFpCdC7U5lIyHOgiW8RkCpy+z6E68//77LVq0aNSoUatWra65/Ln22mvpvXDv6vFfpScMVFVajrZmnCRKxjlGFIwGnT+1ciXExRFx6sEHwfDHn7FA0e3wCUnno/4uJ6meFaWlARjpCw+uT1Gyo/mWAenU7JMhHUwfuCjTCELMpBRRiKEX5DKNaEcjdgV9SqMFbc1FP1UW0sYQfWpAV/ERP3ng2oY3cWvTT3VW9iiBh5U+df6iu8MQ8mRf0gyy+8nfH7o+ZbWXCwdRPTei2OXysNINx34oGQ/HwAL5xBA4fZlFH/BPf/rTkCFDqqqq6M2CeleP/yodY6Cq0nK0NeMkUTLOMaJgDLo+5XLByJHeA6deeglC+nMSi5iiHT4hFbEwVHKSDNB8uxiAkb7w4PqUb1LYawxIJ7tzwexp+sAFmUY8GX3xdLosJd6VyzSi3KORdrjrUyvneV8XuHCqELs8cI3xmre56ac6K3qUwMNKn0pfV55gcXQadjR1tcKze6JcFVCfmp1bJjzlt3Gb9jdpsqbDgH4oGTfAT/QhGAKnL7PoHl511VUHDx6ktwn2XT3+q/SNgapKy9HWjJNEyTjHiIIxuPrU+fPw3HNecWriRPKCoMj98AmJlVtOEoWkARjpCw+uT6Hk0WvE5XIVFhZG5/v7zB24oCvNHEJ2CQ19WZSfAhZctqzCDbn6398X7vqULRPG9JI+4icPHPNrFNa2+HdcT3rCR5/6xVHzeH/yzr5xi0pEKUqxkG4vXblxj+z9fbKWQ6ynEiyODkOPllY49fAJq758qqtPB32ZRbfTtWvXt99+m94m2Hf1+K/St6idTir5qG/GSapnRWnJMVLgaLoVLJIOB/zlL0ScuvJKsNs1uWTGxsHCaEYW+nzmJPXx8/Y2ACN94cH1KZQ8ciMmJyDoU4NfJBLM7GEBZanADTTyMIE+lTaawBn0gnLsGuPlzaOTQJjoUx6PR1CUXp10XKY0sV3OW1v2/GjyLr/IOyU9Oieq1qjpyyy6tRUrVtxyyy2TJ0/evHnze5IPvRfuXT3+43rCrXECnAAnAPn5cNNNRJy66SZS5h9OgBOIOAL0hQfXpzAT7na7i4uLo/P9feYO3JYJi6YS/SW5PaxIVZZgxGf3JAW3LbN43XL97+8zgT61Ig2S2hNES2ZB3YsLGwSO+TUKa1v8O64nPWGiT32xtyrB4kgcfHRGTqkKQap06Yb9VnuAluMXn06wOJ4Y4HCcqtWDKHz68qmuPhf0ZRbdTqzSp1GjRvReuHf1+K/Sk6idTir5qG/GSapnRWnJMVLgaLqFT3LdOrJnKiaG7J9yODQ5Y97G+BjNy0Kf55ykPn7e3gZgpC881OpThw4dQgk42Ebo0QZ7dAMe1wx2CGz2TR+4LRMmphDxZWwv9eIU2DLlxzCJ0pVGjibQp2yZMLw7QTRrqELgGuM1b3PTT3VW9CiBh4M+Vev0vDrpeILFkfN+hQpxqjzg+VOikbfqJKrJy06zMg6vfigZD6+Q1HnDEHhoFx7qwqK1MsB/Bqo0j6P4HieJknyOEQUj8vlTbjdMmuQ9cOrZZ6GyEsvJ8LfDJyRWjjhJFJIGYKQvPNTqU40aNXrsscfWrFlz6dIllMiDZIQebZAGFc0akE5xrLAqmD7w3HTo9ywRXzLe4vqUXwLC+VwjenB9yumMnGOGVP4kQfmOh4M+9e6OygSL44UxxRcvuUVpiVJQr08dOu4902r/4WqVVMO5GUrGwzlAf74xBB7ahYe/QNTXG+A/A1X1/kdVS04SJd0cIwpGTH2qqgpeftkrTo0aBS4XloemsMMnJFaaOEkUkgZgpC881OpTP/7447Bhw1q3bt2qVauUlJRdu3ahxI9uhB4t+nAygwakUzZimFyaPvCM8USc6vcM5Kb7VWfEvVGSQnTtn8qeSSglt4ecNHngYTIRg++G6ac6KyKUwEOuT1XXuF8ceyzB4vjXDvIPsxRZSrylXp8CgNm5ZQkWx/jsSNhChZJx1ukWyn4MgetceFy4cOGjjz7Kzs7OknyMRKDTfzWuMlBVYzYK23CSKEnnGFEwoulTJ07A3/5GxKm4OMjJwfLNRHb4hMRKFieJQtIAjPSFh1p9SojW6XS+8847zz33XFxc3N133221Wk+fDq+FOD1alJxRjLjd7qKioug8f8rcgb/1JlFeJvTRJE4JxzAVrc/Rf/7U9pEjP0lK2j5yJGV2Yd6SSGzaQh7YlYCaN9Zty2wQOKZzYW2Lf8f1pGfkyO1JSZ+MHLldjxE9fTd9di7B4nhl/LGaWo9KfcpqL13x9g8Bz58STkZ3nKoVXgtYVFyjx89w6Munuvos6Fl47N2793e/+13Lli0bN2584403xsbGXn311bfddpv60fW31OO/ytGjdjqp5KO+GSepnhWlJcdIgaPpFgLJvXshPp6IU9ddBzt2aBo9YhojYIwYFvoC4ST18fP2NgAjfeGhTZ8SvK6urk5PT7/yyitjY2OvuOKKnj17njhxAgWHfiP0aPXb5xYikEBtDaR0IrLL/EnaxBqKykPHVH0Jjh6EvXmw7V34wA5bVsKGpfCvXPj4bfjiYyj8HspOgdtNt6HrLsVz+q1JfQmot96Ug9LlDe/MCRhB4GK1W3jL3odfnxfGEzdJoRQEm1OXlyZYHNNWlBoREh8jPAjoWXg8+uijffr0cblczZs3P3jw4NGjRx955JEtW7YYGZke/430k4/FCXACkUbgnXfgqquIOHXXXVBUFGnR8Xg4AU7ADwH6wkObPvXtt99aLJZrr722TZs248ePP3To0Ndff/3444//7W9/8zO60dX0aIPtjQFyY7BDYLNv7sD37iSai6Uz5GbIZRe6WFP3GrsG24jE9r4cz1fCru1kiMn9oE8HMiL9z6AXIGMCUa8cv4GH7PXA/Ih+ai1kTqhj9Zw7N6NB4JjOhbUtc091HWgjIPCN28jmqR4Tjztd3i+UOllKw/4pACgqrkmwOB7v7zhq8hf5RUDG2eY7Q+B6Fh6tWrU6cOAAALRq1aqwsBAAvvnmm3bt2rE5z9ZLj/8qR2SgqtJytDXjJFEyzjGiYAQAdpIeD8ye7T1w6umnoaICyyUz2mHHaMZog+kzJ4lC1wCM9IWHWn3KarXee++9cXFxnTt3/uCDD6SPsP3222+NGzdGwaHfCD1a/fbpFgx4XJPuQKjumjvwJbOI5jK5n1ZxSuGYcFHuETNRdR52fAhzRkByQ01q8IswfSAsnk4GXZ8NG5fD2oWQkwYZ48nuJGE/lyhgje5JNlidOCpa1VsQ/dRaWGkVAnFmz8zftM5py/JC0+uQafqbe6rrwGz2wGtqPcLJUx9d3jyl8vk+TedPCYCFF/mlrS3TwTv0Xc2ecWaCDIHrWXjccMMNv/zyCwDceeedn3zyCQDs37+/WbNmzP4zdNTjv8rhGKiqtBxtzThJlIxzjCgY2c+fqq6G11/3ilMDBkD0vXNGxp9PSBkQ5ktOkhmdtKMBGOkLD7X61B133DFr1qyTJ09KvRfKNTU1ubm5vvUhqaFHG2yXDEhnsENgs2/iwC9dBMtzRJ9aOBVZnzr8KyybA32fqd8nNakvbFwGe76G8tMBtkQ5nXD4F/j0X8QrwT1Bq0odBXt3Ijz6p1WWkrYf0QOSEl2zhnF9iu3LYtJeJv6O1xH/4KvzCRbHy+OO1TrrdyOq2T/FoE/98NulBIvj6UGOikoTv4HI7Bln/qIxBK5n4fHUU0/Z7XYA6Nu370MPPbR27drExMSHHnqI2X+Gjnr8VzkcA1WVlqOtGSeJknGOEQUjoz51+jQ8/DARpxo3hoULsTwxtR0+IbHSx0mikDQAI33hoVafOnz4sHTPFAB4PB6Hw4FCAdEIPVrEgRRNGZBOxXFDXmniwL/5nOhHA7oyPNynvH8qNwMyJ8DckQ1kqU82Q1kJJU057dpltWiRo/hMR/UlokktmFy/A2tyP/juK10qlVRv0lqeMRiSEt2jenJ9ipLQyLuF8h1v1y6nRYusdu2MfjuPy+V5ddLxBItj82fnpKkJkj7l8Xj6zT6ZYHGs/uisdDhzlVEybq6QBW8ZAtez8Pj2228///xzADh9+nSHDh1atGhx//33FxQUGIlOj/8q/WSgqtJytDXjJFEyzjGiYGTRp378Edq2JeJUq1awdSuWG2a3wyckVgY5SRSSBmCkLzzU6lONGjUqKWnwF+yysrJGjRqhUEA0Qo8WcSBFU263u7i4WCbkKbaMsEoTBz5/EhGSpvZn2DwlvL+veN3y+vf3LZgMw7t7lamUjrB8LtkGpeL0qOz4+LSYmOz4eNrEKD9NTlIfUPcGvaREmDUMjvxKa0+5p1WTkrZfNBWSEj0pHYvXLq0PnDJWZN0y8VTXlwiUwOPjs2Ni0uLjs/X5orn3Z99eSLA4Oo8svljd4LUDavQpq7106Yb9Kt/fJ3q2bTcZ8fkxxcKLAsV6ExVQMm6ieEVXGQIP7cJD9Jy5YID/DFSZw4nsjpwkSn45RhSMwvlTGv7i89FH0KIFEaduvx3qjtvDcsPsdviExMogJ4lC0gCM9IWHWn0qNjZWpk8dOXLkqquuQqGAaIQeLeJA3FQkELhQ6T3pSTgHSqrCaC0vmwPj3vAqU8ntyZFSZzS8wEuVPiUQP18J/7JB/85krOT2sHo+XLygORdao5O2z82Afs+S0aWvO9TsAe8QjQRCpU/1n0t2M9l8djOp06fKVTaTZtTp8rw07liCxfFJvvddgdK7vBxhBMy+8DC7/xE2nXg4nEAEEvB4ICMDGjUi4tQjj0CZuc9njMAE8ZA4AWMJ0BcegfWpYXWfRo0a9e3bVygPGzZs8ODBf//73//5z38aG0vg0ejRBu6vr4XL5SosLHS5THzmCBsAswb+1SdEZ5nUl23zFNgyXbaswvUr3bOGQkpHrzj1VhIsna0VowZ9SjB9ppQcbiUcSjW6J+zX+DCIVG9iKI/tDUmJp2cMd0Xf+ehmnepaZ6RPe5TAQ6JPFR6uFk6DOuNzGpQa4SndXrpy4550e2nAxjJm9k/OJlgcfWcrHNooaxmelygZD8/Q6F4xBK5n4dG2bdvblD50J3Hv6vFfpScMVFVajrZmnCRKxjlGFIwAoIpkbS2kpBBlKiYG3nwTamqwRo8YO6owRky0wQyEk0ShawBG+sIjsD71WN0nNjb2n//8p1B+7LHHnn766ZSUlF9/ZX28CAWekhF6tEo9MOsMeFwT0108W2YNfN5YIvF8uJ5Zn3IumXVuZE+vTjT05fpD1jWy1axPCfb3F8CYXt7R316m4QUoDJqUtMucEZCUWDniNf7+Po15NnFzlO94SPSpmatKEyyO2bkK/1obUHKy2ssZzkcX0nz2vOvpQY4Ei+MXhynX4igZN+OMZwhcz8IjU/JJS0vr0aPHddddN3u25n/k0INaj/8qx2WgqtJytDXjJFEyzjGiYFR1/lR5OTz+OFGmYmNh3jw1R15g+WYiO3xCYiWLk0QhaQBG+sIjsD4lxNm7d+9z5xqcLIsSP7oRerTow8kMGpBO2YhhcmnKwM+e8Z44fvoEiz6VmwGzh3v6dBAOY4LZwxucsK4xMYz6FABcqiLOCxup5gyHCoW/hCv4IhWbGMpLZpEj0pM7OFdavegUxojMKlNOdYxUoARuvD5Vftb11EAiEh04Uu2LIaj6FABMzyHSmNVe7jt0+NegZDz8w/T1kCFw3IXHwoULe/fu7etY8Gpw/Vf0k4Gqoh1eyUmizAGOEQVjYH3ql1/gT38i4lTz5vD++1iDRp4dPiGxcspJopA0ACN94aFWn0KJ1gAj9GiD7YAB6Qx2CGz2TRn4Z+8RWWfGYBKyVo0mJ03cuHR2dG/n0jlyCxo5sutTwkB7d8LAunPTh3WDX38KPBxRBrwAACAASURBVLjWeGXtczM8FnIAlitzItenAtOOiBYo33Hj9SnbR+QhuwGpyg/ZBVufKvjlUoLF0XHo0apLDc5lN8WMQMm4KSKVOckQOO7C4+DBgy1atJB5FdRLXP8VXWWgqmiHV3KSKHOAY0TBGECf+uwzuPZaIk7dcgvs24c1YkTa4RMSK62cJApJAzDSFx4B9KmuXbsK26a6+vmgUEA0Qo8WcSBFU263u6SkJDrf32e+wGcPI/rU1i0klTL9hX65aBoM6EL6Jrd3zxxSsja7/jV2YkfF+eG/Uq8+BQCnjpGDtJISoe8zsPsL/0PV3RH9ZC146g6D94jvPQwwXuTc5t9xPbk0WJ+qdXpeHEsOKd+2W/kdAmr0Kau9bPGGIqu9LGBjXzIej6fXlOMJFsf7X1b63g3zGj7V1ScId+Exd+7cW2+9Vf3o+lvi+q/oT9ROJ0Uaeio5ST30xL4co4hCZ8EvyaVLoUkTIk794x9w6pTOUSK+u1+MER85doCcJApRAzDSFx4B9KnevXtXVpKFdW8/HxQKiEbo0SIOxE2Zm0BZiSAwed+yp16msY6DPnVHoffvAgum+BW2NNJB0KcAoPoScUl41u/jt2kP+auP11/LuiOoYFi3aNs/pTGxvHkDAgbrU9t2X0iwOF4YU1zr9DTw4/JFQMlJU4PLVhv8f+O2cwkWR59ZJzweZR8atOYX5iSgZ+Fx33333X/5c9999/3ud79r3Ljx0qVLjSShx38j/eRjcQKcgAkIuFwwZAhRpmJioEcPuHTJBD5zFzkBTsBYAvSFRwB9ylhXEUajR4swANWEy+UqKCiIzvf3mSzwf28kOs7ckd58+lNhpPW5GTB9kFf9GdEDVqQK7+8reHt1/WvsxPbUeeJ7E0efAgC3C9Zne53ctMKvRCX6yVpw1R1B5UnuAMIRVL4hRWgN/47rSazB+tSA1JMJFofto7P+fFYjP6XbS22bdjG8v08YVDwlff9hhQOw/DkWDvV8qqvPgp6FxxTJZ9q0adnZ2fv371c/NEpLPf6rdCBqp5NKPuqbcZLqWVFacowUOJpuyUmeOwcdOnjFqenT/a5CNY0RBY3lGKMg5CCFyEmigDUAI33hoVafunjxYlVVlRDzkSNHMjIytm7dioIA1wg9WtyxfK0Z8Lim76DhUGO+wKcOICLOjg+99ALKNKusMLa3V/eZmAKr0oV9Q05bVv6mdfWvsRPtaMxK0QcfHNi4seiDDzT289N862avq/ZF4FY6+Eb0k7XgzM2s6V/3kGNW3RFUfhyJvGrzTXWkHKAE/sEHRRs3HvjggyIkp2hmDhypTrA4nhroKD/r8tdOnT512r75y3T76YCN/Y0ycyU5JT1trbp3F/izYng9SsYN9xphQIbAQ7vw0B+zAf4zUNUfV0Ra4CRR0soxomCUnz916BDccw8Rp5o1g40bsYaIBjt8QmJlmZNEIWkARvrCQ60+9dRTT2VnZwNARUVF69at27Rp07Rp08WLF6NQQDRCjxZxIEVTBqRTcdyQV5os8JPFRL5J6QiVlzdW0GWanHkwogfpktyevKdP0hhLn8LP4I4PibdJieStgr4SlSQEaTjqy05bVun4uuOupg4gvaLmY7KpjpcX0wU+O7csweKYuaqUwiCg5GS1l6fb9epT+34jp6R3GHr0wkUlsZjiX0hvmS7jWLQYAtez8Dh27FhWVtaAAQOGDRu2ZMmSM2fOYAWi3o4e/1WOwkBVpeVoa8ZJomScY0TB2ECf+vpruOEGIk79/vfw7bdY9qPEDp+QWInmJFFIGoCRvvBQq09df/31P/1E3gu2fPnyv/zlL263e+PGjXfddRcKBUQj9GgRB1I0ZUA6FccNeaXJAn9/LRFuMibUc6PoNcvnwpCXvXpW5gSZghO++hQA5H0KyR2I5/ZF8i3WlHjV3XLasg5aJxPjw7tzfap+IkVuyVzf8TOVrqcHORIsjkLqU3XG6FMej6f3VHJK+rtfmOmUdHNlHPGbxxA488Jj0aJFV155ZWxs7DXXXNOqVavY2Nirrrpq3bp1AODxePbu3YsYF8UUs/8Um7JbDFRlFvilQICTRJkJHCMKRlGfcq1aBVdcQcSp+++H4mIs49Fjh09IrFxzkigkDcBIX3io1aeaNWvmcDgA4KWXXpoyZQoAHD16tFmzZigUEI3Qo0UcSNGUx+OpqKiIwnNwzRS4xwPjk4mwsvPT+iT6E2WWzoaBz5PGfZ+BhVNl4hTYMj22zIo1iz2+3etNh7S081PifFIibFnZwA9fhzXWeGyZ55bMIZb7dCBPO0bNx0xTHTUp5gp89cdnEywOy9yTdAZq9CmrvWzBegfb+/vE0Td/Rk5JT55pplPSzZVxEbX+AkPgbAuPDz/8sHHjxiNGjDhx4oTg9okTJ4YNGxYXF/fVV19179596tSp+sNRY4HNfzWWxTYMVMW+vCAlwElKaTCXOUZmdLKOHpfr0rBh3gOnnn8eLii/LVfWi1/KCPAJKQPCfMlJMqOTdjQAI33hoVaf+p//+Z+srKyjR4+2bNkyLy8PAL777rubbrpJGkw4lOnRhoOH3IcQEzh60Ks3XZT8ElVUZ5bMhP6dSWNLZ8ie4StO0Wo0Bnnyu++O5+Wd/O47jf1UNP/8AxJCUiL8W3IWgGK8WitzM4hsl5QIC4lgzT+cQEAC3313Mi/v+HffBZCNAtqhN3C6PC+OPZZgcXy6S/IdV+qjTp8qV9lMaQRvXWWVW9jP9YujhtKM3zIpAbaFxyOPPDJ+/HjfkMePH9+0adO2bdseOXLE924watj8D4Yn3CYnwAmYicCFC9C1q1eceusthdMkzBQM95UT4ASMI0BfeKjVpzZt2hQXF9eoUaOnnnpK8H3WrFnt27c3Lg51I9GjVWeDvZXT6dy9e7fT6WQ3Yc6eZgp8cw6RVBZNa0DaV5pZMssrTg18HpbO9idFOW1Zuzfa9Z+Pjvb+vgZRXb4QXlaYlAi7tnurfOPVWCME7h71GoE5c8jlkSL//2aa6qjZQAncmPf3ff7thQSL4/kxxbVOD52BGuEp3X567eav9ZyPLvgwbQU5JX3BxhCcLkSH4O8uSsb9GQ/neobA2RYeLVq0OHDggC+KAwcOxMbGCjvWfe8Go4bNf02eMFDVZD96GnOSKLnmGBEwFheTp/liYtxxceT5Pv7RQYBPSB3wGnTlJBvgYL0wACN94aFWnwKAkydP7t271335rOVdu3YZ/xbkgJzp0QbsrrOBAY9r6vQwSN1NE7jHA2NeJ5LKt180QCFTZ5bOBuHldAOfh+Vz/YlTYMvEOn8quPoUAKzPJlH3fQYO7COBy+LVfikE7po+iJgd06sBzIi+MM1Ux84CSuDG6FOD5p1KsDhWfVARkIFKfUrn+/sEN/J/vJhgcXQdVex0BVDNArptTAOUjBvjKu4oDIGzLTyuvvrqgwcP+jp/8ODBq666yrc+eDVs/mvyh4GqJvvR05iTRMk1x6gX4+7d5Bz0mBjPjTf+uGRJFP7DvF6ADfvzCdmQB/sVJ8nOTtLTAIz0hYcGfUridvgW6dEG228D0hnsENjsmybwokKip/TvAtWXGkQqFWiWzYYBXUizgV1h2Ry6lGMafcrtIlvGkhJh0Atw6hg9KDV3vYFnTSI2Lc/Jz19vADeiLkwz1bGpowRugD71i6MmweJ4coCj7KwrIAMj9SmXy/P8mOIEi2PnvqqAjoVDA5SMh0MgWn1gCJxt4fHQQw+lpysc3me1Wv/2t79pdVtPezb/NY3IQFWT/ehpzEmi5Jpj1IVx40Zo2pQ81nfvvc7ffsvPz+f6lC6eAHxC6gQoduckRRR6CgZgpC881OpTFy5cmDBhwv/93//dfvvtt0k+eoIPRl96tMEYUWrTgHRKhwufsmkCF7YRLZsjRyfqU8vnElkqKZFIVMv8PtYnKjim0acAoKYaZg0loU3sAznzxBDYCt7AV6ZDcntiszS4JwrJ8xW6a9NMdWxEKIEboE/NsZUlWBwzVpaqAWCkPgUAizefSbA4Ji87rca3kLdByXjIo2BwgCFwtoVHbm5us2bNFi1aJP7Vzul0Lly4sFmzZquMfViGzX9NbBmoarIfPY05SZRcc4yMGD0emDbNe+BUp05w7hwnyUiyYTeOsSEP9itOkp2dpKcBGOkLD7X6VLdu3X7/+9+PHj06IyMjU/KRxBIWRXq0wXbR4/FUVVVF5/v7TBC42wXDuxExpeAb+UwQ9KmcNBjyEmnQvwvlzCmpoOOxZVatXqD//X1Bf75PCPhsOYzoQQIc/TrkZkgD0VquD3zoy8Rg/mdypBF6zb/jehIbbH2qotIlHEP+86FqNX6q0aes9rKsdcd1vr9PcKaomOztenqQ49yFwHu71Pgf1DZ8qqvHy7zwGDFiRGxsbMuWLe+v+7Rs2bJRo0ZDhw5VPzRKS2b/1Y8etdNJPSKVLTlJlaDozThGOh/lu5cuQY8eXnFq2DBwkV9knKQyK421HKNGYH6bc5J+0Wi5YQBG+sJDrT7VqlWrr7/+WktooWlLjzbYPnk8HqfTGZ36lAkC319AlJRBL4CzVj4TbJmwyurVbvo9C0tmqtRrPHVHUJlGnwKAg/u9L92bNlBljIrN6gOf1JdQXbNAjjRCr/l3XE9ig61Prf332QSLo9/skyp/CKvUp+oORy8L2FgNmeSZJxIsjne/qFTTOLRt+FRXz1/PwiM/P3/w4MEd6j6DBw/Oz89XPy5WSz3+q/QhaqeTSj7qm3GS6llRWnKMFDjKt06ehL//nYhTTZrAsmViG05SRKGnwDHqoSfty0lKaTCXDcBIX3io1afatm1bWFjIHKdhHenRBtsNA7bDBTsENvvmCNyWSZSU3AyFGHMzYGwvcjelIyycqqjIKFaa6fk+MeyvPiGRJiVC+luKQamprA983hhianI/0XxkF8wx1YOQA5TAg6pPOV2el8cdS7A4tn5zQSWAgJKT1V6ebj+Ncj664NLGbecSLI7+c03wPCxKxlUmIqyaMQQe2oWHfnoG+M9AVX9cEWmBk0RJK8eoDWNBAdx8MxGnrr0WPv9c2peTlNJgLnOMzOhkHTlJGRC2SwMw0hceavWpNWvWvPjii1VV4X6wKz1atiSp72VAOtU7Y2RLEwTurIXBLxIlpfB7ORmPByamkFvJ7SFzghp1RmxTL9OIJ1gJBfkYAa4Ner5P9GJCHxJvSif1O8XEkIVCfeDL5tSh6wCXLormI7hggqkeHPoogQdVn9q+pyrB4nh+dHFNrdoX5BmvT5Wfcz0xwJFgcThO+eziDE7imK2iZJx59BB2ZAg8tAsP/awM8J+Bqv64ItICJ4mSVo5RA8b33oOrrybi1J13wq+/yjpykjIgbJccIxs3316cpC8ThhoDMNIXHmr1qfvuu69FixbNmze/9957hYMShP8yxBzULvRogzo0RPH7FwyYx3pzt+8bIqMM7wZun5Nf/vMOuZWUCGmjZSpMwMt6mcZc+tSqdBhWdxTX0JdhVXrAMH0bNAjc8hyh98sPenNkhv4mmOrBwYgSeFD1qcHWUwkWx8r3K9QDMF6f+u+LCsYtKkmwOFa8q8FP9REhtkTJOKI/hpliCDy0Cw/9ZAzwn4Gq/rgi0gIniZLW6MTocsH27bBuHflv3eFRgVh6PJCaCrGxRJx64gk4c8a3Q3SS9OWgs4Zj1AlQ7M5Jiij0FAzASF94qNWnpvj56Ak+GH3p0QZjRKlNA9IpHS58yiYIfOlsoqGsWyyHtm8XJHcgt2YM9lVhAtY0kGmkEpV8mADXRu+fsmWSA+D7PkMCn9wvYJi+DRoEPvp1YueTTQGCjIjbJpjqweGMEnjw9KnfjpKjx58c4CitcKoHEBJ9avt3FxIsjlfeOuZ2q93npT4ixJYoGUf0xzBTDIGHZOHhdDrHjx/ftm3bpk2b3nbbbVOnTnW73QKl8+fPDxgwID4+vmnTpnfdddfixT6/+BrSNMB/BqoNfeRXXgKcJMpUiEKMW7ZAmzZEaBL+tGkDW7ZQWdbUwBtveFv36we1ynt+o5AklRrjTY6REZxPN07SBwlLhQEY6QsPtfoUS3Ch6EOPNtgeGXCcWLBDYLMf7oFfugjCHp+DBxoEeOwwDOhKtJXxSWzvs6s/JlwqTtkyG4yi4qKmsrL63LmaSqNOTRa8tY4lsSclQsZ4XwWKXtMg8BmDiJHsGSoCNX2TcJ/qQQOMEnhlZc25c9WVlTXobqauLkuwOKbllGqyrEafstrLEM9H/+/+qZpazzPDjyZYHHsOXNLkrcGNUTJusM8owzEEHpKFx4wZM66//voPP/zw8OHDmzZtat68eWam91dPcnLy7bffvn379sOHDy9durRx48bvvvsuBY4B/jNQpTgczbc4SZTsRxvGLVu8u6BEfSo2ltT4lahKS+GRR4g41agRZGWBx++/pkQbSZTp52uEY/RlwlbDSbJxk/UyACN94aFBn6qoqFi+fPnYsWPLy8sBYM+ePceOHZPFE/JLerTBds+A1zEGOwQ2++EeeN42IqCMe6PBr9jKChhTt/Fn7ki2Z9zAlumxZVatXqD//X1s2Nl7iWqacBBVv2dh+Vy6ICW72yDwrIkE7+ie7P6Yp2e4T/WgkQznwM+edyUOJorPj0XVmgCo1Key1h232nHe3ye4N28tUdNSV5dp8tbgxuGc8aCiYAhc58LD6XR++umnS5Ysqaz7J4rjx4+fP38+YIydOnV68803xWbPP//8a6+9Jlzec88906ZNE2898MADEyZMEC99Czr99zXoW8NA1dcIrwEAThJlGkQVRperwc4pqUR1881KD/oVFsIf/0jEqRYt4OOP6cCjiiQdhZ67HKMeetK+nKSUBnPZAIz0hYdafWrfvn033njjHXfc0aRJk4MHDwLAhAkTevYMu7+R0qNlzpPKjgZsh1PpicHNwj3wjPFEQHlvTT2W2hqYM5xUju0N58/JxBf1lw0ecxNFH+37p+odM6YkurrSCoNeIBxGvqppB1mDwHPSyNHySYlwVuFsAmMCMmyUcJ/qQQMRzoHbPzmbYHGkzDrh8f9vvIpg1OhTuO/vE9wo+OVSgsXxzPCj6o9yV/Q/qJXhnPFwC1zPwuPIkSN33XXXVVdd1bhxY2FxNWTIkL59+waMcfbs2bfeeusvv/wCAAUFBa1bt163bp3Qq2/fvg8++OCxY8c8Hs/nn3/evHnzr776Smawurr63OVPcXFxTExMeXn5f58ZdDqdwnOCbrdbuBRrXC4XpUb49okNnE6np+4j1FRXV+fl5dXW1gr/Kis2EwQX8dJVdyiOdGjfmmC4JzggdVioCUP3BJLV1dVOJ3mWWcrTl5VvTZTTE2dadXV1fn5+bW2tWOPLyrfGpPS2bXOJmpRv4fPPyd6oeg4ff+xp1QpiYjy33eYsKBDqKV8NcUICAP/myn7uBaQnNBB+tObl5Qnfa6fTGTFzT89vDfX0pHNPmJDCry3BgvgrTDo/he+y8e6ZJbk1NTXihAzSz73y8vKYmJhz587JFifCpVp96oknnhg1ahQANG/eXFhC7dy589Zbb1U0GsJKPctE/W7zBb1+hvgWzp6BPnUnTJ06Xm989Xyipwx8Hk4cJZWiXqOx0ECmkfatHyksS1JXF0/38pk9TD0HeeAT614IWPBNWEaL6RT/jmPSxLDlcnleeetYgsXxSX7gLSeyAUOlT7ndnpfGEZ+/+j58X4nLp7pstlAu9Sw8Onfu/Nprr9XU1IiLqx07dtxxxx2U4YRbHo9n7NixsbGxTZo0iY2NnTVrltilpqbm9ddfj4mJadKkyRVXXLF69WrxlliYPHlyTMPPtm3b8us+RUVFAFBUVCRc5ufnFxcXA0BhYaFYU1JSIuhiYk1FBTnyf/fu3WJNVVWVMIvy8/Pz8vI+/vjj6urqqqoqscHu3bsBoKKiQqwpKCgAgJKSErGmsLAQAIqLi8WaYLgnGHc6neHvnkAyLy+P0xOnBH3uKSZ3165d+fn5ZWVlopEInntpacd8ZSmxZvnyC+I399Dw4Z7GjYk49fDD3378sQiH8tUQJuTevXv5N1fAJf25pzj3FL+5Tqdzx44deXl5Qhf+c0/N3BPayL65eXl5n376qdPp5L818vPzKd9cRXr5+fnC3Dty5MjHH38sTMgg/c7dtm0bgj7VsmVLwT9xCXXkyJErr7xSXOuESUHPMlF/CHxBr58hvoVP/0WkqBmD6y1/vZXUJLeHH8jimHykeo2WslymEft67ar937dW69eTJ39rtartoLOd6KdQmDWUAOnTEZbMUolCHnjOPGLhXzadfoV/d/4d15Mjq/XbyZO//u9/9RiR9f1ib1WCxdFlVDHDXqRQ6VMAsHjzmQSLY8pybQdmyWIP6iWf6urx6ll4XH/99QcOkIMRxcXV4cOHmzVrFnD09evXt2nTZv369T/88MPq1auvu+663NxcoVdaWtqdd975/vvv79u3b8GCBc2bN//0009lBvn+Kd8tIb41YbhBSdyuwvdPiZsj6Hv3FHdh8P1Toj7l3T916ZK7Xz/hNHRPr16eS5dEvIp7gsSvhjghpXtYzLJJxHdDjW+NMVtsnE6nuF2F01M594Rmsr1mfP+UHnri3DPN/qnWrVsL6ri4hNq6dWubNm1kK56QX+pZJup33ul07t69W1g06LcWYgsyCYN66bRl7d5od9qyVKobhjYb+jKRTmYN9Q66cKr3hX3TBup3w2/gGpMX4P19VPj6oyBP9g3vTigN767yKT954LOHke4jX0VwRt/TkYqKw76Jc7H+fD8pde3mr+sOzC5XHMvUlZRpy/bDTUaj1bWLYmLSWl27SFav5/KFMcUJFkefWSf0GKH0TbefDkbGJy09/d/9U08McMyxBT7ZiuKepluU/PreYsu4rx3T1TAErmfhce211/78889Sfeqrr75q3bp1QG5t2rRZuHCh2Gz69Ont2rUDgIsXL8bFxX344YfiraSkpMTERPHSt6DHf19rijUMVBXt8EpOEmUORBVG4fyp2Fjvu/hEZSo2FrznT1VUwFNPkduxsTB3boOjWgPhjiqSgWCw3+cY2dk17MlJNuTBeGUARvrCQ+3zfX369OnSpUttbW3z5s0PHTrkcDjuv//+IUOGMMYdtG70aIM2bCQaDrYmYoz9JTOJbpLU3nv+94pU6N+F1IzqqVKIYRRcNM6IEOtTtkyyc6pPR0Jmloan/OrhLJxK+vZ9BoeqRnrS5op/XccSpwQ7ikNERqWUJEpZhgVdn5q8jKg8j1scM1aWysYK88t5a8uEt/gNyzhlmKsoOeVGfAnoWXi8/PLLffr0EfSpQ4cOnT9//vHHH+/du7fvKLKa6667bvHixWLlrFmz/vSnPwGA4MzHklONU1JSnnrqKbGlb0GP/77WeA0nwAmEGwHh/X1Siar+/X2//QZ33UXEqauugn/9K9w85/5wApxARBKgLzzU6lPnzp17+OGHr7nmmsaNG998881xcXGPPPLIhQvkoeWw+tCjDbarHo+noqJC6xm9wfaK0b4W/chjy6xYs1jhNXZajNSLHYi9pg0guomwryc3A0b0IJcDukJOGspwfgPXCD30+pQtE4Q9UOQpv5kB4cgDX5Xu3ZWmom9A4xrhNWiu+Fd9RH2qYOLcBesdat7mpuhJmFc2QNnwgu2HmyxedH3q9SnHEyyOHhOPywZCvSwLUsb7zj6ZYHG8/NYxVG9p2/oapjTAFVvGAxg1w22GwPUsPI4fP37nnXf++c9/btKkyT/+8Y/rr7++Xbt2wulOdFq9evWKj4//8MMPDx8+/M4779xwww2jR48Wujz66KP33HPP9u3bDx06tGrVqqZNm0qVLF+zevz3taZYw0BV0Q6v5CRR5kAUYtyypcFb/G6+GbZsAdixA667johTbdrA998zsI1CkgyUAnbhGAMiUtmAk1QJit7MAIz0hYdafUoI4/PPP09LS5s7d67vWQb0OA27S4822G5E1IEdWkQi+WlEWvoGViuYreVmwMCuRJBKHUVGEbSqPh1h8XSsQf0GrnGqhYU+JT7lN6xbwG1QCoEPfYWgThuNwFYjPWlzxb/qI+pT309KtW/+Mjqf7xOOWpTSDliWpQNXn5q1qvSJ/o4Ei2N89mnZQIiX6t/fp3XQqStKhc1fs1YZtPkrYL6kDSLq15k0sEBlhsB1LjwuXryYk5MzYMAAi8WyfPnyixcvBvKR3K+srBwyZMgtt9zStGnTP/7xj+PHj6+pqRE6njx5snfv3n/4wx+aNm3arl07q9VK/2cznf6r8ZaBqhqzUdiGk0RJenRidLlg+3ZYt478l7wqMycH4uKIOPXQQ3DiBBvY6CTJxorSi2OkwNF0i5PUhMtfYwMw0hceqvQpt9udk5PTqVOne+65595773322WdtNht9ueMv4GDX06MN9ugGpDPYIdTb16IKKagVWrojKBqKwy2cQhSTPh0gZx5kTSRlUatSbK+90m/g9RxVlcJCn5I+5Td7OD0pCoFPTCF4J6XQO6q6q4qZciNFjYDrU4pYfCuVmdbVsv1wkw2Bq0+lzDqRYHF0HV08b20Qj3AKnj5ltZd3GUUOzxqUdlIGKkiXlPz63mLLuK8d09UwBB7ahYd+wgb4z0BVf1wRaYGTRElrtGN0uWDkSKJMxcTAK6+AOk1ckXy0k1SEor2SY9TOTLkHJ6nMRWOtARjpC4/A+pTH4+nUqVNsbOx9993XrVu3V1555S9/+UtsbGznzp01BmtEc3q0wfbAgHQGO4R6+1rEGgW1Qkt3VZoFg0FBMRnbmxw+ZXmOqCdvvYk7lt/A6zmqKoWLPmXLJAfJJyVCSifviV1+sCsEnjqKdBz2CgJhVcyUGyn+xZ7rU4pYfCuVmdbVsv1wkw2BqE+lrilLHHw0weIYkRnc85uCqk8NSCWP+D0/plgGKkiXlPz63mLLuK8d09UwBM6weGWSEwAAIABJREFU8Hgv0MdIbgz+a3WPgarWIaKkPSeJkuioxlhZCc8+6xWnJk/WdBq6L/yoJumLg7WGY2QlJ+/HScqJMF0bgJG+8AisT61cubJFixaff/65NMDPPvusRYsWNlvYvU6eHq00hGCUXS5XQUGB8KrLYNg31KYfYUJRfXDZsgreXu0Kq/f3rbRC305EMcl4C0a+RgqDnoeV8xT9Z670G7jGVIWRPpWbAUNeIrjG9qZgUQhcOIo+uQOsSqd0VHVLIz1pc8W/2OPqU7ZNu9LtBj2QpRhO8CqlJGVlth9uMlcR9akh1lMJFkfHoUfTgrl5ymovT7eXBi/jM1eSR/wSLI7pOUbMKFlO6ZdsGafbNMVdhsAZFh6x1E+jRo2MZMXgv1b3GKhqHSJK2nOSKImOXoxHjsBf/kLEqaZNYf16/TCjl6R+dhILHKMEhq4iJ6kL3+XOBmCkLzwC61NPPfXU7NmzLztc//+ZM2c+/fTT9dfhUaJHGx4+msQLLfqUKtHBYINpo4nI0r8zTB9ECn06IB47FThejUkOI33KlgnCy/iItDc+cKRiWnMzyPv7khJJd7GSraCRnrS5TBARLhH1qX0T5yoOERmVUpIoZRkWLH1q3tqy50aQJ+P6zzXoyThZIIiXL449lmBxWOYYEQhKTrkRXwJmX3iY3X/fjPAaToATUCCQnw+tWxNx6qab4JtvFBrwKk6AE+AEDCFAX3gE1qduuumm75Xe6bB3796bbrrJkBA0DEKPVoMhpqZut7ukpMTtdjP1DrNOWpQFty2zxL7EraWLXgkj4FjCq/reSoLk9kQ0mTMiGCP6DVxjMsNLn7JlwqS+BNqALrDSqshNOfCRr5Jes4cpdtFQqZGetLmicICoTxVMnLt4Q1EUvr+P7YebLB1Y+tTYhSUJFseTAx1zbEE8eeqy82VBzbiwEey5EUY84if9pgQss2U8oNnwb8AQeGgXHvqRGuA/A1X9cUWkBU4SJa3RiNFuhyuvJOLU//4vHD2KghEAopEkFjuJHY5RAkNXkZPUhe9yZwMw0hcegfWpuLi4E0qvdTh+/PgVV1xxOZBw+T892mB7acDjmsEOod5+QAFI0kDhNCLJXQ3CBFavJbOIUCLsnyKPqvUK+EI6Nif9Bl7PUVXpnWefXfuPf7zz7LPKrbGwqLeTMw8snQnAKf0VySgHPrU/6aL/kC9lCqpqL2sK5dICoj7F39+nKg2XG0mzYLWX3/3AhlvvyL37gQ2yeq2XL48je47enH5Ca0eG9kE9f8pqL59tK3u87i2Ek5cF8S2EQuCX06Lq/xH160xVxN5GDIHrXHhs27atU6dOf/zjH2+//fZOnToZ/35knf6roctAVY3ZKGzDSaIkPbowut0wYYL3wKnOneH8eRSGgpHoIokIrqEpjrEhD/YrTpKdnaSnARjpC4/A+lSjRo1Onz4t8dlbPHXqlMFHJPj64FtDj9a3PW6NAenEdZhmTb2WYctUViu0WFAUQdgrp9QJJYLCYnkOVqSxm6JG4TdwGlnt96g+BCk0sI4jYlNye8ie4TuEcuDpb5Eug17wba+tRjshsYeiAMH1KUUsvpUiRt8C2w833yH010xZdlo4s2maIWc2BVufstrLu40nclufmUGX23zTSqlhyzjFoFluMQSuZ+GxYMGCJk2adOvWLavu071797i4uAULFhiJS4//Kv1koKrScrQ14yRRMh5FGKuq4MUXveLU6NGA/YRHFJFEmXl+jHCMfsBoruYkNSNT6mAARvrCI7A+FRsb27Fjx64+n44dO3J9SpZTA9IpGzGIl1o0EWW1QosFbfoF3XJuuvdtfcIWqswJmMYbDu03cNzENBw0eOHILY/qSfSmka/67j5TDnz5XNI+KRFy9AmCOugpyh9cn1LE4ltJAc/2w813CP01r085nmBxdJ9wTL8pNRYM0KdGZHrPep8X5LPeKfn1vcWWcV87pqthCJy+zKIT+MMf/iBToxYuXPj73/+e3gv3rh7/VXrCQFWl5WhrxkmiZDxaMB4/Dg8+SMSpuDhYtQoFncxItJCUhY19yTFiEeUkUUgagJG+8AisT/WmflAoIBqhR4s4kKIpl8tVWFgYne/vK9yQGy7v7xN28QhCyaS+cs0FVetx2bKUA1ecH8yVqD5rALJkpvf0Lus4WS+/gfeveypw/iRZe22XzKAAFBUHXH1q5cY90fn+PoYfborp0FM5Y2XpE3VPw43P9vs0XNqqk/Pm7F489r11g5f8u9+MnSmjf0q2FCUnHUnuVZzcsyg56afk/t+kjPzIMts+eNnCtz5My/w5bbVfa+n20mBnPHV12ZMDyVv8JvgPSg80sa+mL1ZE/TrTEjlD4HoWHs2bN//tt9+kDv76669XX321tCbYZT3+q/SNgapKy9HWjJNEyXhUYNyzB/7wByJOXX89fPklCjdfI1FB0jds7BqOEYsoJ4lC0gCM9IVHYH0KJU7DjNCjNcyNSBgoVJqI/nFHv+7dxTPoBVilfLy3NrmEwSXcGcDgAFYX4UnJAV3Ukhxdt+Vq5hBdhHXQE/8qLi0g6lP8/X2akiPNAkr5zeknEiyOF8bITxNPXXpk0bj33xmQ/kOfgZeS6t4jKSjU6v57Nun5r1LG5Yywp2X+jOKnViOvTSKbwt6YFtxH/DTljjdWT0DPwqNHjx6pqanSsdLS0rp16yatCXZZj//B9o3b5wQ4ARYCW7ZAs2ZEnLr7bjh4kMUC78MJcAKcQNAI0BceXJ/CBO92u4uLi6Pz/X3F65aHxfv7xEfMkhJh0TRdKokKicdty1QOXOO0Crvz0cXYV87zPiw5faAUpt/Apw0k4uC4N6SNNZc10pM2V9QFEPWpgolzl27Yb7WXKg5k9kopSVmZ7YebDIjO89FnrSp9YgDZZzR2YYnVXp62+nRa6t41Q1bs6zPQldTBq0rXCVLnk7r8nGzZ1m/KhkGLcoavXTTu/ayJn2ZM2Z4xdUfWxP8sHPdBzgj7poELPus7+bfkZGfDvj8l9181bHXq4kOXnS81IONjFpA3EiYOPpoWzEf8ZDmlX7JlnG7TFHcZAqcvs+hRT58+vVWrVh07dpxe9+nUqdM111wzffp04TiqrKwseneUu3r8V+kAA1WVlqOtGSeJkvFIxujxwMyZ3gOn2reHs2dRiPkzEskk/cUchHqOEQsqJ4lC0gCM9IUH16dQ8ug1YsDjmpju0m2JCoWKgvJpRCo6alYuAtqc3M/719QZg/GN+4zuN3A6W5+72fHxaTEx2fHxPnfqKnzGNSC0+iHSRhOkfTrC0tlipd/AUY5IV6agqvaypsDf39eAgCIW30oKYrYfbrIhWl27KCYmrdW1i2T1Ki+TZ5LNU11HFc/N2r92yLJDyW9INakjyb0/tsxcNurttLTv01YTAUvln9RVJ9KnfbV+UPaPffq7k9oLNquTnvmk34y0ud8ZcP4U0drWlD09qE56W6TBc5UBis0o+fW9xZZxXzumq2EInL7MohNoS/3cdttt9O4od/X4r9IBBqoqLUdbM04SJeMRi7G6Gnr29IpTgweD04mCi2IkYklSYg7CLY4RCyoniULSAIz0hQfXp1Dy6DViQDox3aXb0qKJ+FUrtBgRtQ/2wqp06FO3jWJAV98jvdnN+o/Cb+B0tj53w1qfys2AYd3IX9rH9hYZ+g182RyvZLBSx5OVPnzUV4h/FZcWEPdPfT8p1b75y3S73+OKpOOarkzhzPbDTUZAjz41O7cs0XJwWsqmvX0GiypSTVKn3X2GrxpmS8v4STYW22Xqgl9tQ1f9lpwsKl87U8YstX5oQMZ7TSWP+L0+5Tib52p6UfLre4st4752TFfDEDh9mRX+BAzwn4Fq+HMLiYecJAr2yMRYUgL//CcRpxo3huxsFFABjUQmyYBhYzfgGLGIcpIoJA3ASF94cH0KJY9eIwakE9Ndui3/oowoUogFv2qFFiOiNfbChMt/q1w0nd2IFp/9Bk5n63M3rPUpWyZ5UlI4x+fywed+A7dlep8HXDCZPQU+fNRXKP4tnetTilh8Kymc2X64yYZg1qdS5+9f129+edJLomy0r8/A5SPWpy49IhsC5TJt9emMqV98lTLOVbedyp3U/rO+k9PmH0Ax7s/IuEXkEb+nBznS1pT5a6OznpJf31tsGfe1Y7oahsDpy6zwJ2CA/wxUw59bSDzkJFGwRyDGH3+Etm2JOHXNNfDppyiU1BiJQJJqwsZuwzFiEeUkUUgagJG+8OD6FEoevUbcbndRUVF0nj9VtD4nxOdPLZ3l/bvriO7syogWcQpsmW5bpnLgGqdVuOtTtkwYX6f9DX1Z2JjmN3BbJox6jSRi9jD2LGikJ22u+Bd4RH2qYNLcFW//EJ3nTzH8cJOlg0Gfmjfn28/7ThKPlypNevntgQtTMww6xTwtde9XKeOEHywXkjrnDl2VajslCwrrct7asvaDjyZYHGMWBOsRP+k3JWA5on6dBYxW0oAhcPoyS2JboejxeDZu3GixWF544YWuko9C06BV6fFfpVMMVFVajrZmnCRKxiMN40cfQYsWRJy64w44cAAFkUojkUZSZdjYzThGLKKcJApJAzDSFx5cn0LJYyQa0ajUsIsRKAPlZsDQV7z6VPbMEDtjy9Q6IUygTy2fCykdCeG00QHwTu1Pmo1PCtCMknet+CTtFcUCRH2Kv79PAjtwUZYOTfpU+rQvv0kZ6f1SJyV+nzxoumVL6srgvuFO5rD3cmZeYXJfwZNfklPS0r5Xbqb6xCt/3d+YRg7Y6jk5WI/4BU4Yb8FEgL7MopscNGjQlVde2b59+169evWWfOi9cO/q8R/XE26NE+AEtBHweCA9HRo1IuLUY49BWZm27rw1J8AJcAKhIEBfeHB9CjMnBsiNmO7SbVHkA59btN00Po3ZZQuKqTkjvH+PNXDzVHTtn7JlgvBuvv5dYJWVlnHrWJKLwS+yJ5o+M6l3Ff/mj6hP8f1TVPzym7J0qNGn0lafzpq49Yc+A4RvtCup/Y6+4/tavkqwOIZlBGvvkszPhpelK97+IW31yZwR9sqkrpCUeCnpmVXDVqetxj+DbPzi0wkWx1MDHanBecRPnh7qdUT9OqNGKrvJEDh9mSWzL7u89tprP/roI1mlwZd6/FfpKgNVlZajrRkniZLxCMFYUwN9+hBlKiYGkpOhpgYFjiYjEUJSU8xBaMwxYkHlJFFIGoCRvvDg+hRKHr1GDHhcE9Ndui2KGORzi3YakU9jdtnCn6lls8nb5YQDkjIn4Nv3N64t02/gdLY+d02wf8qWCSut3rOlZgz2G7gtk7zmLykRktvDKtYj0n34qK9oqCx43+CGqE/x89HV5wIAZOkIqE9lTNkuKlM1SZ3+3W9G6rx9ljknEyyOTsOOpq0N1sFMMj+ll9L3982dv/+7PkOFHzU7U8akLnVIW+ovz1tb1mEIecRv1PygPOKnKXcR9etMS+QMgdOXWfTB27Ztu3//fnqbYN/V479K3xioqrQcbc04SZSMRwLG8nKyYSomBmJjyRYqjweFjFYjkUBSa8xBaM8xYkHlJFFIGoCRvvDg+hRKHr1GDEgnprt0W/5FGV8BiKZWaLHjazlwTW6G98AjYc9ObkbgLngu+Q2cztbnrjn0KVsmzK173iqlk3NFWv6mdU5blgLt3Azo+wz5O/zCqQp31cD34aO+QlEj4PqUIhbfSgpnth9usiFo+tSMnaL0U5PU6d3+84TzyGfnlj010BG6zVPlUn3Kai9PW12SOyy3JqkTJCU6kl9PS90ri1Hn5ZvTySN+r04MyiN+lPz63mLLuK8d09UwBE5fZtEJ5ObmduvW7eLFi/RmQb2rx3+VjjFQVWk52ppxkigZNz3GAwfIUVMxMdC8OXz4IQoTNiOmJ8kWNnYvjhGLKCeJQtIAjPSFB9enUPLoNWJAOjHdpdtSoyNcbuNXprncgFGnUNM9dZR351RSIqSOCuJASs74DZzO1ueuafSp3Azy4F5SontiX7/6lC0TRvQgSZkzgjEdPnzUVyiqA1yfUsTiW0nhzPbDTTaEoj6VllawM2WM8C2uTer4kWX23Pn7xY7JM4he89yI4nmh2Dxltcv1Ka9jM3aWJHWDpMSqpOeyJvx/9t4Evokjzfs3OSebZDPZmdnNLpM5dt+dTOad2Z2dmX92Z2ffnXWSicwRIAkkBHK3L9n45DAYjAEbY0uWbAMGDL5kLCAcyeQik5NAEsyRgMkBOQhBGBt8BRJCgpGs+m+pRbvVXV3qLpVa3VLx4ROqnzr6eb5PWy79UlX9kuBt5IUFa+AWvzuzPbY2+ovFMPmVV5FlXD6O6SwEgeOnWXgC58+ft1gs11133S9/+ct/E/3B96JbG4n/Kj0hoKpy5ERrxkhSybi5Mb7yCnxJX1IS+PGPwXvvUQFCPIi5SRKHTbsjw0iLKCNJhaQOGPETD6ZPUcljcJDh4eGurq7EfH9f14Z1MXh/37qq4FIdzgKsE0GLk1AQQWlPaoYadtWiA9f4WO13ON4qLd3vcKD7kbqnJgTNbWoXAM7iT0051ehUzPgiK5QbFqRqHpyPFE1BlRUpEFDUpzpLqho2HUnM9/cRfLhJ0jFh+s677n1lwvSdvN3WcPyZLLuXGwM4i49LeTlzsb3mA3GX8ub+O7Lh4qk5UXulnfh2CuV+ZMZt9Z92puUEPB+zbtZGhb7BHabqa6vbB8blwy1+M+vob/FT9SN0qVFc/Tq7FJSafwkCx0+z8DedMmXK97///czMzNLS0kWiP/hedGsj8V+lJwRUVY6caM0YSSoZNzHG1avB5ZdDcer3vwe9vVRoRDKIiUlGEjbtvgwjLaKMJBWSOmDETzyYPkUlj/E4iKE0ESVn5j0BdZBU+P0WLM0jVEOUBo/ETveJiMSTaPSd9RAEPvcxReDVgeUw+fcrNsB7FQE9pBBAUZ9i7+/TlBxkOuAuuZZTLQWus9y98EHiLB3ps5Eb5R4u7U62eu4ritniKSX/ebu95dRrGaV8CJty6mmdmJ66FC4Ze3DBSfzdCWo15Y41Vk8AP83Cj/NXf/VXb775Jr5NtGsj8T/avrHxGQFGIEjA6wW5uVCZSkoC06eDb79lZBgBRoARMCkB/MSD6VM00+rz+Q4fPuzz+WgOGqux8ApCaK3PVXd4U6sPeRpRaEtCwQI5SG0J/80Q/jdjPGiy0xwceUeZUTFwulmT3Vf/SEPuWL+EJ++rLwuxC36uWQobpI4hXNEWAT3kl3aK+tTBhbbmze863f3IG5ndiAFP9uGGBLJ8/l+Opz7KP0LHUh+vK3kF2awksNMt2epZsIb+m/KQd0Qane5+TMbtbX1bZ9TxsTyV7aQiUS1sgFv87sj2VLkob/HD5FdeRZZx+TimsxAEjp9m4Qnccssthw4dwreJdm0k/qv0jYCqypETrRkjSSXj5sN49ixISQmKU0uXxuo0dDl885GUx2AAC8NIKwmMJBWSOmDETzyYPkUlj8FBdNiuSdNd/FiC1qCioHgMk4q+aIEjbMcWB5gB3/Ue3N+3ZAbhOGFvhG2gGDierdZarA8xCXx47mPwFKrZD6Hv3loD0uEB0mCVgoCFj0grH1F7pMRAV59yb93ldMdSMUHGSMUoAiktkn24Sbyqrnpnf1ohr+ac4e5rKnTbXKclbfjL6vaBe4u6kq2ehxZG5aRw5E2RRsn56Mg2rQWtfFDPWasil6iq2wfGF8ItfgU1aDhIH9QYpUnFXpNlHDukOSoJAsdPs/BhP//88xaL5fPPP8c3i2ptJP6rdIyAqsqRE60ZI0kl4ybD+Nln4Be/gOLUNdeArVupEKA1iMlI0gqb9jgMIy2ijCQVkjpgxE88mD5FJY/BQXRIJ0138WPhFYTQWkWZJrQZWssga7M4G34h5EWQjHExWTwFXLWKgePZymqHvvrqwpdfDn31lawmYCBDFM1e3jUV/tQUmILlC9FpLXwQ1lbNQtfifUNTUGVFfktn+hQSi9yIQUz24Sbcwrbq2PPWSl/gqKmL3Ninsp22Bo9QKy/MrD3NHxNe3hzjpWpq9CmHe7Cp0E1RokqvgFv8ps6nvMUPk195FVnG5eOYzkIQOH6ahSfw3e9+96qrrrrsssuuu+66G0V/8L3o1kbiv0pPCKiqHDnRmjGSVDJuJoy7doHvfx+KU//wD+Ddd6mET3EQM5GkGDbtoRhGWkQZSSokdcCIn3gwfYpKHoOD6JBOmu7ix8IrCKG1ijJNaDMSqQI5wupywIsjWRPhd8Il2dRGRt5O2agYOJ6trNY07++7hMLrqju9CB4ODQqmgtYaBP+FGbC2JB1RdWkQxSoZH/UGudLhcA8yfQqJRW7EcCb7cOOPmmrLbzrHTeLlm1em5d32s+XyW4stla6BlDy4gChj2SmxPSZllfqUwz24dvaTwxwUbbfOqIvQ1UVr4Ra/27M8y6hu8cPkV15FlnH5OKazEASOn2bhCbQq/MH3olsbif8qPSGgqnLkRGvGSFLJuGkwtraCK6+E4tRvfwu6u6nETncQ05CkGzbt0RhGWkQZSSokdcCIn3gwfYpKHoODDA8P9/b2Jub7+3rdaxTf5hZWj9DUoLUG8GtzcifDb7yxWzwFXLXDrlp04BofK9PpU8Ou2v7mGn9a4GR6ZzFCabLNDqpXmpLLN9ZIT9wcqQtQ1Kc6S6pWbTrqcFM+GAjptv5GMUlJmeDDbdjnW1H8fFfqw7wy9Wlq6n3/X01Skv2GG+vxoT2+BK4eGldwwrbeCJwH1Ge8qbCdD9aduxYfY9jaCTPh9sZ8J80tfpKc4i8JMo4f0Cy1BIHjp1nGD1wH/wmoGp9bTDxkJKlgNwHG4WFQVBQ8cGryZHD+PJXAqQ9iApLUY47CgAwjLaiMJBWSOmDETzyYPkUlj/E4CIGsoE+XqlnwG2BqCrBOgIXyXIQ4oo8nmLtofCJMp08FmZdmwhTkTkYsoVpVBqvSxiKqMNz4Ko30xM2RX/sp6lPs/X1i2pjy/pc+6MzIg88AZxnkpqybtbG6rfeGG+vD6lPCsehz63uR2TS4cX1eIx/1ulmbInE1c9mpZKvn/nk0t/hh8sWqIiGAn2apHPmbb775UvRHZS8qzaj4T8UTNggjwAhAAufOgYkTg+LUggVgeJhhYQQYAUYgngjgJx5Mn6KZa5/P19nZmZjv7+t8sk2P9/c12oIHos9+CH4JtE4EzY4Y6lM+Vx06cI2Plen0qWDgjfbgEWD2OdIstNYAfnXV6nJplZn1qYMLba4texPz/X0qP9yOf3R6R+5SX2Cn2xA3buuMOvvaE7xSE1afsq8fmDgLrhuaHutj0QVpyenu15px/o1+Xm6M0qsJhcExhcWN/XCLn9WzrJXaIjJNH0tx9etMS+QEgeOnWfibf/3119nZ2T/4wQ8uC/2D70W3NhL/VXpCQFXlyInWjJGkknFDYzxxAvzrv0Jx6uqrQXs7lXijN4ihSUYvbNojM4y0iDKSVEjqgBE/8WD6FJU8BgfRYbsmTXfxY4UVEUQNFI9hErXRLFIg+85PhbLUjHvhtj7i47eRIxMZFQPHs5XVmk6fGgm8bAZMRPYk0OKUprjgAVgll67CopbxUW9AfuGnuH7q4EIbe3+fUjrOnf32hQVNX3OBU+E4y9tZC2w1H4gzElaf4s8FvyvHU9ES42PRBbfVnz8ldLG39b2esRBwlq+5idWV+wS71gIv1eVWU9vip5Q4pD2ufp0hI1QwEgSOn2Yp3CdozsrKuvXWW7ds2XLNNdc0NzeXlZX98Ic/bNf3S2kk/uOjE2oJqAp9WUFMgJEU0yAuGxfj3r3gppugOPW3fwt27yYOULeOxiWpGwIaN2IYaVCEYzCSVEjqgBE/8WD6FJU8BgfRIZ003cWPFVZEEDUYUStERqlaEXnVysVQ7+AsYE7gRBvktrLI76JlBMXA8WxltSbWp5qrQebdMCnLCqUZX5AG7aWZUntYwjI+6g1ICYDpU0gsciOGM/7Dbdjn+8uKF3tSp/M/oR+npe/cvBcAILkFXp8qWdN3u9WTbPXMrKWmyEgcILgk0Kcc7kFbS8/BNPgCgV5uqq3+U4L7OtyD1iq4xW/yXGpb/DD5lVfhMy5vHzcWgsDx0yw8mZtvvnnHjh3/+8Ny/fXXf/rppwCAtra2MWPG4HvRrY3Ef5WeEFBVOXKiNWMkqWTcoBg3bgTf+Q4Up371K3D8OJVIoz2IQUlGO2za4zOMtIgyklRI6oARP/Fg+hSVPAYH0SGdNN3FjxVWRBA1UJRpRG00ixSSvq01IP9++O13VvA7MFi+MNIxJbfQfqkYOJ6trNbE+pSrFlTkw7xYJ4KW0L2WlTOhfeY0zWmS8VFvQAoBTJ9CYpEbMZwxH24dzx96Pz2wjI6z9HMPbK9+2jvk5YeS3AKjT1W1DdxdCN/ZN62kW9Irtpdk+hSUqBqOn0h9BHCWzrQcewvJiwjLmuAWv2SrZyml1WSY/MqrMBmXN44nC0Hg+GkWHs611157PPBFdPTo0Xv3QlX32LFj1157Lb4X3dpI/FfpCQFVlSMnWjNGkkrGDYfR7welpcEDp8aPB199RSVMHQYxHEkdYo7CLRhGWlAZSSokdcCIn3gwfYpKHoOD+P3+M2fO+P/310wc/NEi1vhdtWfWr/Jr6aJZs6gKiB1pY0DuFKh6zHtc8whRcE8xcI0PgOn0qZDAWxzBs+orCkKSwq93yxiv+Yh0jfTEzZFaBkV9qrOkasVGTwK+vw/54Xb0ve6dOUuGA0dNfcuNf7Fo1Rd95zDpwOhTj5R2J1s9KXknKB63hHwYtBsHiDNutx04z8HXODyTZdd+30GHe/CeOfA0rhl2EnlLfkdxasKWkRkP2ysOGhAEjp9m4Zn86le/euONNwAAf/rTn2bOnAkAqKurGz16NL4X3dpI/FfpCQFVlSMnWjNGkkrGjYXxm2/AAw8ExamZM4EmY3QtAAAgAElEQVTPRyVGfQYxFkl9Yo7CXRhGWlAZSSokdcCIn3gwfYpKHuNxkCioOSHihabxG+3BTWRz4HoEkD4WrK0kH03Trckaa3wiTKdPSeEvKwgsoZoQclx9iwMElAuwdpm0PZ6qRnri5vLv5P/7JZ+iPsXe38fT/qLv3ItzV3/DBbZ2cpY3s0s/PtglTgRflqRDSZ8qqDnNLxSaZ8539knCFF+unPcc/NHgLGvmbBXbVZazbXCL371FXSrb45vJE8QsVAjgp1n4Wzidzrq6OgDA66+/fs0111x11VWXXXZZbW0tvhfd2kj8p+sJG40RSDgCPT3gttugOHXFFaCxMeHCZwEzAoxAQhLATzyYPkXzofB6vfv27fN6g3tbaA6t/1h4BSG01uuq27fZ7XXVaZMhQgfB9S1Jh9/xsieBtLGwsCx0nY76cWi3VAxcY75Mp09JA29xgKzAqdgV+SF5zLkP5ss5L8QYNgsa6YmbI7+fU9SnDi60tW99y+nuQ97I7EYxSUlZ+HDzDnm325/q5wKH33OWD9Oy3nr6XUlj4VICBKlPlTb03ZkNd7FlLKOzSkhy0wgvne6+CDO+ZcZywFm+5cY7KvZqdaa8ObjFr7yZwoHxQl7UFISMq2kcT20IAsdPs9TDOX78+LZt2zo7O9V3odKSlv8YZwioYkZL5CpGkkr2jYLx4EHwwx9Ccepv/gYEzqGjEp2egxiFpJ4xR+FeDCMtqIwkFZI6YMRPPJg+RSWPwUF02K5J0138WGFFBFEDxWOYRG20KRTijvVL+AUIwZ19hQ9q3i8mHo1qWTFwPFtZ7al33unevfvUO+/IagIGqj6TJ0LkBiLwykKYJmvoEqp5j0PjkmxtN0VTUGVFfv+nq08l8vv7Xm9/65O0wLH3nKUndfpfVmwfxu5EkKQjv/zjnEVH8ss/FuwVLf1j8+GxU1PmnaxuHxDsxikQnz8lhFDd1rs3DW5P7uam2xo8gl1l4b4iuMUv20ZBvFP1I3SpUVz9OrsUlJp/CQLHT7PU3DS2bXTwn4BqbJkY9u6MJJXUGALjn/8Mrr0WilO33AIC70agEprOgxiCpM4xR+F2DCMtqIwkFZI6YMRPPJg+RSWPwUF0SCdNd/FjicSIsOICQq3Q0h03fmsNKJgKNY7cyfC/aWPAmqW49rTuq24cxcDxbLXWqnNGTyyIwFucIGsSzNHSvBFPluZBy5xHRixqYtHKR9Qe+Z2f6VNILHKjCKS0eHDXJx0Zc2A2Ocs5buILJc3nzn4rbSS7lt9CbLGtH7g3cL7S+IITy1xGFKcc7sHI9Sn+rPQebhrgLDsySuxt2hbf5djhFr9Jsyls8ZPlB2eIq19nuECldQSB46dZ0htcut6zZ8/27dsvXQGXy/WTn/zkBz/4QVpa2oULFwS7DgUy/zU5RkBV0/iJ05iRpJLrGGP0+0FlJRg1CopTd94JvviCSlAxGSTGJGMScxRuyjDSgspIUiGpA0b8xIPpU1TyGBxEh3TSdBc/lhod4VIbhFpxqUqbMCHvZZsNvxKnjgGpKbAgOYFb3l5fi2LgeLZaa/UNSk3K0IHzL+zLvBs0VwcHqSuBWcuapGbMkTZa+Yjai+UPocz0KQEFviACOVLsPj74SqHDy40BnMXHjXktr+rEp30j1dgS5nb29oGp808mWz1/muFZvI7C5jXMvSKpoqJPQZ2r7C1fgGHD7M2a/KloCW7xW9IUKSVsrqSVcfXrTBoc7pogcPw0S+lmKSkplZWVfO177713xRVXpKamOhyOm266qbS0VKlXNOxk/mvyhICqpvETpzEjSSXXscR44QJ49FGoTCUlgawscPEilYhiNUgsScYq5ijcl2GkBZWRpEJSB4z4iQfTp6jkMTiI3+8/f/58Yr6/73zbCvrv72uuDr4YLmM8lDnmPGycnX28mOJ31aIDp/lYgRHhxjBCFTrwFic8I4yzgPLcoM+NdnjJWUCTXUMUEdBDfvOnqE91llTVbehOkPf3nTv77QulrV9y9/BJ3J8568COjzUlB5kOh3uwun2Af2HfHVkew5+JPkAr4xty1wDO8g03wVZ9SIkM0j5lLhTyrJWRbvHTlLu4+nWmJXKCwPHTLKWb33TTTfv37+dri4uL//CHP/DlzZs333rrrUq9omEn81+TJwRUNY2fOI0ZSSq5jhnGvj7wX/8FlanLLwcrV1KJJbaDxIxkbMOmfXeGkRZRRpIKSR0w4iceTJ+iksfgIH6/3+v1JqY+5XXV0denFmfDL8ZpcOEGFKoabRo0Dl2kHL+rFh24xsfq6HPPfbR589HnnkP30yUWTWwVA6+aBZOVOX5kCRW/6a+uRMP4aAqqrMiv93T1qcDh6AbdjIYMX71RQDw0dHG7/aleLrC1lrMcS33i1dZdBB9ukltzMw8+kvvOE4UHH1vczb+wb/byXkkb410O0Mp4dVvvwbQcwFk+Tk23t2gQm3Id8P2GE2dFusVPyK+aQlz9OlMT8KU2BIHjp1mXBpb+e/XVV584cYK3/uEPfygrK+PLn3/++XXXXSdtHc1rMv81eURAVdP4idOYkaSS69hg/OAD8NOfQnHqr/8avPQSlUBiPkhsSMY8bNoOMIy0iDKSVEjqgBE/8WD6FJU8BgfRYTkcTXfxY2nRRNC7vbSMgBAvGpYFlSm4vy8FLC9FtInwFhF3Vwwcz1ZWa8b393Vs2YB4Y2OrE2QHltuU5QTzNecRqFiJD6UKi13GR70BqW5Q1KcOLrTF9/nowz7fK+teO5YaONies/RyU7dXbR0aukj24SZJxw031o8aVf0vKW/z4lS+87SkgQEvae3v40OzLT9ylrsXcJansp3qg13WOnB7FnzFYYQbIdX/HAEAyDKu6RbGbEwQOH6apRTmj370o507dwIAhoaGrrnmmldffZVv+d577914441KvaJhJ/NfkycEVDWNnziNGUkquY4BxhdfhLJUUhL4x38Ehw9TicIIg8SApBHCpu0Dw0iLKCNJhaQOGPETD6ZPUcljcBAd0knTXfxYYUUEUQNFmUbURrO6xL/6jd8dVjlTc/dIbq26r2LgeLay2vjRp1y1gD8yLOPSEqolgUVw857QkEEZH/UG5Hd+pk8hsciNb27b/376DKgncpavuHteKGn+cvA8D5/sw01yixt/sOZXYzqSrZ7brZ7CWhOIU7TORxdzWFn8POAsw1yKc8kusR1fvr8YbvHLWKZh1ZV8QPU/R0yf8nq96nHhp1lK46Snp//+97/ftWtXYWHh9773vaGhIb5le3v77373O6Ve0bCT+a/JE7IPEE23SJDGjCSVROuK0e8HdXXgssugOPXf/w36+6mEYJBBdCVpkJij4AbDSAsqI0mFpA4Y8RMPpk9RyWNwEB3SSdNd/FiqNRoQ2OOGXk2jZZAQ/WLFIv5LMvzvgrSQKuIxo9CR6VOI1AhLqPhTqJzzYBJzJyNaKmUE/2Ria+XfyR3uQaZPIbGIjXb7wbfS5/I/dBe48S/NqjvlOSMmTfbhJr5FWVP/fzz4frLV88e0Y2bY1jfIO093/RQ/5suZSwBn6Up92N7YLUaEKec74Ra/uwtPVLeT7y0VJzRsmSzjYYc1fgOCwPHTLKWQ+/r6/uu//mvUqFHXX3/9U089JTS7/fbbi4uLhUsdCmT+a3KMgKqm8ROnMSNJJdf6Ybx4EWRmQmUqKQk8/ji4JENTicIIg+hH0gjRRs0HhpEWWkaSCkkdMOInHkyfopLH4CA6pJOmu/ixlLQDlF1RpkE1Dq9TtNaAnMlBfQqeie4M34XsRhH3Ugwcz1ZWG1frp1y1IHgK1d2g2QEalsFUpqaAFofaPMr4qDcgv+EzfQqJhTdWLT/yl8xyHwffj+njUnbklH966KQcONmHm3Df2ct778qBO9T+89GP/v6f3ILd+IVo6FO2huP93AOAszyd7VBJoNI1cEdgi1/p2j6VXeTN5GnFWMgyjhnQLFUEgeOnWfjAz5496/P5xG0GBweFtVRie/TKkfiv0isCqipHTrRmjCSVjOuE8YsvwB13QGVq1ChgswG/n4rzhhpEJ5KGijkKzjCMtKAyklRI6oARP/Fg+hSVPAYH0eE4MZru4sfSot0onpatZZAR8aI8NyhO5U2BAgfZILr0Ugwcz1ZWazp9SjFwHnuLE/DHolfkw1cu8q9fXLlYbSplfNQb5N/J6a6f6iyponVaNtJVPY22huPbsmsucIGXY3KWt9OLDiq/no/sw83hHqxqG3h8SQ9/4NRtDxy6+rr6G26s1zPMiO9F7Xx0sSfL57+odZff1Plwi19aRY94HE1l9T9HAACyjGu6hTEbEwSOn2YZM0yxVzr4T0BV7CErCwQYSQFFJAU9MH7yCfjZz6A4de214JlnIvHWyH31IGnk+Cn5xjBSApm4UxdaAPlxdHgg8RMPpk/RTKgOr2Ok6S5+LC36jt9Ve75tBZ33961cHBSnDPnCPonCohg4nq2s1oz6VJiMLyuEebROgMumZk6DZfWHiMn4qDcgv65TXD/VWVJVt6Hb4SbfY4X0UGejvbF7fV7jl1zgJHvO8l5aNn8WEoYz2YfbnBW9Y/NP8OIUV9bz3e+tSkqym06filLGX8mEu5g9qY+o3OVXWAu3+I0rIN/ih8mvvIos4/JxTGchCBw/zTI+AR38J6BqfG4x8ZCRpII96hhffx3ceCMUp26+GXR2UvHZmINEnaQxw6btFcNIiygjSYWkDhjxEw+mT1HJY3AQHZbD0XQXP5YWfUpxm5uWQaD0s3IxSBsLtYzUFLgvTGt33dsrBo5nK6s1nT6lGLiQghYHsE6EqVxWAEozYaFE9TliMj7qDUihh6I+Zfb399lcp9fN3NgX2FwGOMux1MdXFm+3twW3jGE4a/1w+/TE0Ky6Xl6ZGpt/Yu7KXod78IYb602nT0Vjfx//lAZ2+d0f2OWn6l1+VW0Dd2TDPZILGwi3+GHyK6/SmnH5CCa1EASOn2YZn4MO/hNQNT63mHjISFLBHl2Ma9eCK66A4tS//zs4dYqKw4YdJLokDRs2bccYRlpEGUkqJHXAiJ94MH2KSh6Dg+iQTpru4scShAYVhfBqhYpBQG1JUJzStNZGzchRa6MYOJ6trDYO9SlXLajIh7JU1sTgcVQFD6gVHGV81BuYPoUk4HAP2tt6V8195kTqIzApnOU09+Da2U9Wt0HZSPiL4az+w+3DYxcWrO7jlak7sjxceU9VW3C5GdOnBNR8YcX87fyxX46KvZIq5OW0BXCLH1dOuMUPk195lfqMy/ua2kIQOH6aZXwaOvhPQNX43GLiISNJBXu0MPp8oKAAKlNJSeDBB8E331Dx1siDRIukkWOOgm8MIy2ojCQVkjpgxE88mD5FJY/BQXRIJ0138WNp0XQUZRr1gywrgGumAt+cQd798NAi9X1j11IxcDxbWW186lPNDpB5N8zp4mz437SxatMq46PegPxWn+Drp+xtfXUlr3ycms7/fJ3h7nPlt9haEG+Ow3AO++F27vzwc2+ey1h2ilembs/ylDX1lzX1izPC9CkxDb68M2M+4CyHUzMkWqG8pcM9ODOwJG1sPuEWP0x+5VVhMy7vEh8WgsDx0yzjY9HBfwKqxucWEw8ZSSrYo4Lxyy/B2LFBcWrx4rg8DV0OPyok5beJdwvDSCvDjCQVkjpgxE88oq5P1dfX/+QnP7n66qt/85vf7Nq1S06tp6fnwQcf/NnPfjZq1Ki8vDxJg61bt956661XXXXVrbfeKn4Bs6SZcImPVmgWpYLX6923b5/X643S+LoOq0X08brq9m12e111JKJSixMsSAsqU7w+tXwhyThaHKY1vmLgGlPVdMstdddf33TLLeh+sQgNj0gxcImrS/NgZrMmgrQxsLB6KX7YYC2agior8ls9XX2qfetbgSPSR5YdIW9qFGP52wfSAlngLOe5CZty6m0NHiXfMIiRH25+v/9k38Xn3zpXvKqPfz1fstVzV47Hvn7Ac/oiAEByox/8/dqrv1P7g79fK7Eb+dLp7otqxu3LPzrHwZ2wTYXtYTnY2gbuDGzxW7CGZIsfJr/yKmTG5c3iz0IQeGwnHpGnQAf/CahGHldcjsBIUkkrfYyffw5++UsoTn3nO+DJJ6k4aYpB6JM0Rdi0nWQYaRFlJKmQ1AEjfuIRXX1q06ZNV1555bp16w4fPpyXl3fttdd6PB4JuM8//zw3N9flcv3617+W6FO7d+++/PLLKyoqjhw5UlFRccUVV+zZs0fSXXKJj1bSmF3iCEiEhihdNtpA4YNBcSrnXliY84gqCSNK/tAaFkdWex0tr/Qfp7kaZAZeD5c9CSbXXqQqudoJCT2Q3/Ap6lOHSqqQtzCg0W478Gb6XP6Ha4gb90yW3bbqM7yfAkZM4duh4Y89Q9t3n6t0DTwQeKMcv2Aq2ep5fEnP5le/PHvOJ3TH347V8gRaClyAs5zjJtlWfBKWyfSSbuItfkJeWIEuAbNPPMzuP91sstEYAc0E3noL/OAHUJy66Sawd6/m7qwDI8AIMAIJRgA/8YiuPnXbbbdlZmYKwH/+85/PnTtXuJQU/vjHP0r0qfvvvz8lJUVoZrFYpk6dKlwiC/hokV0oGv1+/5kzZ/x+P8UxYzaUFi3D76o9s36V5vf3rSoDvGyRPhaU5QS+SKeA1eWqJAwt7kVvQMXA6abNGMGKMSoGLneVz2z6OJjfRVbxIIrlCOghv95T1Kc6S6pWbPQY/P199toPX8pc4uPghlkfl/Jy5mJbzYdIMhKjGPyFoeG+L7wfHb+w88D5ra99Wb9lcO6K7odKu2/Pgkd0C3//NMOT6zjteuHsse4hcXe+LBnfnJcD0c54dVsvv/vy9YySsIj4U+fJtvjJE4SxxNWvM0ycsiqCwGM78ZBFoNmgg/8EVDWHkRgdGEkqeaaJsa0NXHUVFKd+/WvQ1UXFPRMNQpOkicKm7SrDSIsoI0mFpA4Y8ROPKOpTQ0NDl19+uXhTXm5u7n//938rgZPrUzfffLPT6RTaO53OH/3oR8IlsoCPFtmFolGH7ZoUvQ0zlFxoULYoHsOk3AU45oH0wKv6sieB+iUgH77HCixIVdQsMEPFrkox8DBwNVbHLkCldCgGLne1yQ4yAkuoOAuYNV1pwBC7Rjzi5siv9xT1qei9v6+6fcC2fqDSNbC0BR7btHhd/8KGvpI1fQvW9C1Y3Td/dV/xKvh3Xn3v3PreuSt7i1b2zlnRO2d57+zlvbPqemfW9c6sPT2r4tNtmdVDXEAN5CxvpRXNm79vhv1Utu1UVtUpa9Upa+WpzMpTGctOpVX0cGU9jy3ufri0e1pJ9wPFJyfPPZlVdYor73mg+GRK7glBgZIX7pndVVh7uuHpM/sPf/PNhWExf0kZmQ5zGaP3/r4QDhUdvJ5Yu/CVELvo9HreLmzxK9G+xU+SHfxlXP06w4caWksQeGwnHqHuk1zp4D8BVZJIEqAPI0klyXQwDg+DefOCB07dcw/4+msqvplrEDokzRVzFLxlGGlBZSSpkNQBI37iEUV9qru7Oykp6e233xZILV269Gc/+5lwKSnI9akrr7zS7XYLzdxu91VXXSVcCoULFy58eelPV1dXUlLS4OCgN/BneBh+dxoeHuYvvV4vb/H5fBgLvwBKaOD1ev2BP3gLAODixYu7d+++cOGC1+v1+eAmF/Gt5Rad3fP7/UIIcmekFlfdcEBrGHbVel11/F/e4rt06b3U5oKrbveWDRdcy72uOn4VldCFt/hFg3hba/1lOf7AUVPDhdO8jXZfNdyF5E8b611n4zv6AkdZiW8tt6h3T+xwePcCIYQ4HHBGbBGcueBazgcuWIKBX3rSxA8A+bMnpqfFPSELUvcuJU5MWCm5SHpC4H5XrZgMIt2uOrAkcD46Z/Fn3u1trZU7I7VEQM/hHnS6+4S/gYVOAwcX2oS/nSVVnSVVwuXBhbZDWizvltrdW3c63acDYkG/6EbwIHCnW2yBL61zuvsd7b3LWnpL1pyeWXs6q+pU2tLuRxefnLaga/LcromzusbknbhrhueOwKFCciVIveWuzKP16Y1fcffwG/oOpuZkZexQ3x3Z8s5sT0C06ilt6F3xZH9106E9758bOCt8isACAADzwRLgwx+RLiaDtiDpiQjzPKXJFRoEDgUbcLgHQi2DoRb+1uI2aGccl1JZ4z4VyHhftN17zloFOEtX6sP2lh5RCAj3pgW2+KWWd/PNHG7YRo174syF/aV24cKFjo6OixcvCr2kvyNQv+YM/UtN3QfL0NBQR0cH/3ucjz3slGBwcDApKenLL78UpiXmKuCniVRi0WGyS8VP4w/CSFLJEQWMX38N7r03KE7Nm+e7OLxjB9iwAezYAQLTfypummAQCiRNEGXUXWQYaSFmJKmQ1AEjfuIRdX1q9+7dAqny8vJblE6ABgCpT23YsEHo3t7efvXVVwuXQqG0tDQp9M+rr77aEfhz9OhRAMDRo0f5y46Ojq7A4tvDhw8Llt7eXgBAZ2enYDlz5gwAYN++fYLl/PnzfKoEi9frPX/+vHC5b98+AMDAwMD27dt3797d0dHR2dkJAOjt7RXaHD58GADQ1dUlWHR278yZM8Ktw7u3ZcPRjU3AVXt0Y1PHlg38364N64Cr9vCmVsHS614DXLUHnly//altuwPNzqxfBVy1+za7hTbn21bwy206tmzYu6mtf34G/xX61OK8PU+273ly/bc5kwFn+aYsV+jS+WQbcNX2utcIlsObWoGrtmvDOsGi3r3OJ9uEXnj3+GZeV935thVCl32b3SCwgVGwCO7t3rKBD1zqXkeHpuRumDat7e67N0ybhn72XHXCrTu2bFDvntBL6p6W5CLpCYGLk8vfDuFeo92fFlgrx1neWd8o0FN0TyM94ak+c+aMwz3YvvUt99Zd/N+6DfA7/Eut7cLfgwtt7y5xCJevNLcdKqnaV1ErWF5b23KopKrDtkKwvLGq8VBJ1dvOVdDiat/61AuNTx5yuAcbn3xPuFHDpiMO92Dz5nfdW3c1bXzLvnZfvv3Yw6Xd984+emf250j1B2O8M/vzlJxjY/M+G5//2dj8E+MKPBMLj06aCf/eM+vohJldk2YdnzznkylzPrm/6JPJsz9dmrWtm5vO/1gdTeVKc567f+6JhxccfWzhkSdKDz9RevjR0s8eWtjNLf44Y8mHmWUfWMs/SCs7lrq0p8D2QZGjc37NgdLl786p87x16Hz7051bnnvnhZf37di55+uvvxY+93bv3r19+/YLFy7IP/cwHyzurbuaN7/rcA82bDri3rpr3IT2/7mj1XL3Fgw9HumqTUcd7kHXlr0C4cAmO0RyhQburbuc7r66Dd2CpX3rWw734IqNHsHi2rLX4R5ctemoYBG7xxsbn3wv1L2dm7a94nT38cnl20TDvebW1wa4KYCztOc34N3j3+J3d8Fn7Vvgcy5+9vDuafqltnfv3o6OjoGBAeHnK/xvjQh+csl+52KevY6ODrLfuT09PR0dHQcOHBACR38se71Cg1dffZXpU8KUDFnQYbKLvG/8GRlJKjmNFOPJk+A3v4Hi1FVXAZdr2zbwwx8GpaqkJFjeto2KmyYYJFKSJghRDxcZRlqUGUkqJHXAGDN9Srf9fcZZP+X1eg8cODA0NJRo66eGXHUHnmwbCrt+am2lPw9+AfOnpvgrC4NLpSoK4PfqzLv9zdWY9T7SJTYRrwAS7qVqBVDoKiHBmSHXcj5wwRIcVt3/qBdWVK0ePdqelLR69Gj0/6g33vopIXC19BZl8eqJz1ksZeWqk1o00hPWd/j9fh3WT7m27HG6eyXrp+zr4c67tKXdk2ajd8aNyTtxX1HX9IXdTyw5mbmsO8feM7O2p2jl6ZI1vYvXnS5vOr2spbfK1Wtf31/dPrLU6NKLAuXrfS5Zluz8MNXKs+3n7l83a6OjrYdfUCOsAAoMomqJDQBAgClZNzo0NHTgwAHeKG6jaf3UDTfWJyXZb7ixXkJP/Qog0cKiPn5xXDhL5OunTgcy3q9mgVI4Z8Is71o7exPgLF9zE+31H18aCrF+Stjit3DNafXJdbiDy4qFNUHihW+SdHu93qGhoc7OTnGuE2T91MWLFzs7O/nf4wIrzI+G1+tl66fCToh9Pl9nZyf/CIVtzBpgCDCSGDjqqyLCuH8/+Pu/h3LU978P3nxz2zYwatSIOJWUBC9HjUoUiSoikuoTFu8tGUZaGWYkqZDUAWPM9CkAwG233Wa1WgVSt956q9bz0ceMGSN0T0lJMfj56IKr8VCQHyQUoaV+MbBOgF+kM8aDupLgeUNN9uD73ZYVhpxAFOG9Yt5d4xMg6FPofjEPJ3IHGm0gcFw3mPd4+ESjKaiy8mf0SP5L8fwpyfv77OsH5qzonV7SfWfoBr1xBSceXHAyY9mp2ct7lzT229fDvWl0/9qd7+1Kn8crU99wd2/Kqbc1dkV4C1WItTSS+BOqT1EGIrmXGS/tbb1HUuHy0pcyl+D9v7TFrwffTFKrJXWsrQYC+GmWhoFi1NTs/scIG7ttQhLYsgVccw2Uo/7v/wXHjvl8ISunkpKCQtWoUeDmmxNro19CPg0saEaAESAkgJ94RHF/HwBg06ZNV155ZVNT0+HDh/Pz86+99trjx48DAObOnfvwww8LAR0M/Pntb387bdq0gwcPfvjhh3zV22+/ffnll1dWVh45cqSysvKKK67Ys2eP0AtZwEeL7ELRODw83Nvbyy+KoThsbIbSIkkMB/bi8QcYodWH2pLgaei5k8GaipE2/LKaGfeCFueIUcutY9tLMXCNOTOdPqUYOCZ3hQ8G1MlxoLUmTNY00hM3l3wh5y8p6lOdJVWBvV0DFS39GctOpeSNrJay5J54aGF3Qc3ppS38mpdo6S+2xq6t2bUXObhl0sel/CWz3LbiE2TgWo1ikpIy2YebxAFz6lMDfMYlsdKVYRcAACAASURBVETp0rnkTcBZhrkUx9IOzC1m1p5OtnrG5Z+obtcgfUpyir8kyzh+TFPUEgQe24lH5FR18J+AauRxxeUIjCSVtJJg9PtBWVlQfxozBgTOm9uxI2TllKBP8YUdO6g4a+hBSEgaOqDYOMcw0uLOSFIhqQNG/MQjuvoUAKC+vv7HP/7xVVdd9Zvf/Gbnzp08tUcfffSPf/yjQDD08KikH//4x0LVli1bbrnlliuvvPLnP//5NhX7ufHRCsNGqaDDds0oeY4YFiM0yKrCvM2tugikwlfdg8IHQZN9RJtYWwnSxkC7Y96IUTa4kasUA0cAxZlMp08pBo5JX3URv9gH1C4Ik1McqjB1yK/0FPWpgwtt69xvceXdwonmltwTT5T1LFjTp0kpQPoZ1mhv61tV9HQvN5UnuT+toLpyf9he6htg4JJ9uElubUZ9Sqf394mW172WUQo4ywepWfa2PglA4bKqbYB/Ahc2KLYRGgsFTH7lVWQZl49jOgtB4LGdeEROWAf/CahGHldcjsBIUkmrZozffgumTQtqUfn5IPBuEADggegSTUp8KTpBl4rXRhxEM0kjBhF7nxhGWjlgJKmQ1AEjfuIRdX2KCib1g+CjVT8OWUsd0knmGEkvjNAgq8KpFfzxUpwFFD0KWhwhwsR8Dn7NLpgafkGN7I4h48SuVjFwjcQTQp+CW/wswYzjU6aRnri58FVcXKClT727wF4969k/zQiedz5pdldBzWlbFPbuiZ0XynbbgQNpeTzDHm7ayuIXMPqF0EtTQUxSUib7cJPcnelTEiDIy6rlR77h4FboNXO2IRvwxgcXnEy2elKXatjiJ8kp/pIs4/gxTVFLEHhsJx6RU9XBfwKqkccVlyMwklTSqg3jqVPg3/8dClFXXAHWrBE7wNZPaSMpZsfKIgIMowhGREVGMiJ8lzrrgBE/8WD61KVU0PhXh3TScFPdGHgFIbRWUaYpzwlKEiVpUhFq9dLggUTLSw0iNhG4oRi4OsZCq4TQp1y1wQPIOAvAJ13gor2A/D5PRZ96em7T/TPe51+6N2n2iaIVvTosmOLDsa898XS208vBxYZD3LgnZ6y0N3YjI43QiOFN9uEm8YfpUxIgSpcbchsAZ+njHsAkOrjFr0DDFj9MfuVVZBmXj2M6C0Hg+GmW8Qno4D8BVeNzi4mHjCQV7BowHjoEj5JKSgLf/S547TXJ3fnzpyTno/NHpCfI+VMaSErYsUsRAYZRBCOiIiMZEb5LnXXAiJ94MH3qUipo/Ovz+Q4fPhwnb6gJVaDw2o3PVXd4Uyv/FraRlkuDaz3AkmypOOWqBXMfg9LV7IdG2mu5o0F6oQN31Wp9mkynTykGjk/i7IeDeuUsbN614hO1R37hj1CfeneBvbzwxdutcNnUhKyP5i//wNGuYVMV0iX1xpXF2/u4B3huu9Pn2GreV99Xa0sRSGmR7MNN4oA59an+5s3vOt3RPVNMAsrW0n2ag+e1uXPXSqqES4ItftKkYq/JMo4d0hyVBIHjp1nGD1sH/wmoGp9bTDxkJKlgV4vx2WfBtddCceqf/xl8/DHy1vz7+8QSVaK9vy9+vvggE6yLUe0DqYszpr4JI0klfTpgxE88mD5FJY/xOAheaAhbWzkzqEQsyUZoSfVLgrX1SxC1YQc3fgONT4Tp9CnCrC3ODuads4CVixUH0UhP3Fz49i4uRKJP7SqueyLnHX7Z1Jz8NzrmO8UjR7Vsq/90Z8Z8nthJ7qHl81+M6u0c7kExSSplicNm1KckIeh2uWbOVsBZznETbas+U7opv8UvTfUWPyo5ZYPICeCnWfL2RrOY3X+j8WT+xAMBvx/Y7YCXnW6/HQzifj9u2xbyFr+bbwYqzsuNB0gsBkaAEWAEyAjgJx5MnyKjiu41PDzc1dWVmO/v69qwbuT9fTXFwb17i6yIlVOuWrhsirPAJVTGV5qwHg67akMCFxqjHxBFq+n0KcXABQLIgmMuzHvGOPjfokcUs6/IKXwF8ps8sT71zNx1E7M+SrZ6xmR92jbHfaikqrOkqmHTEUeUV9PY2/oaZm/+krsn8Ia+MduyazD7vJAhkxkxfMk+3CRumFOf6tch4xJQDvegva33k9RUwFmetdrktbylkH+Ln+otfpj8yqvIMi4fx3QWgsDx0yzjE9DBfwKqxucWEw8ZSSrYw2AcGgJPPBE8+Tw9HVy8GPamPh/YsQMel75jB/D5wjaPnwZhSMZPoNGNhGGkxZeRpEJSB4z4iQfTp6jkMTiIDts1abqLHwupLygYQ45hWrkYpME334PiJ9Di1PKFsJZLAWuWKioUCjcyWvuQwMU+49nKal9KT39m8uSX0tNlNQGDeGRjlBUDx7vXUAFTz7/MkbOAVWXohKIpqLIiv8mT6VMbi9os1s+SrZ5pMw69WlzPD3Jwoc29dZfTHcX9fba6w/vTCgI/I5ZPUlMdFXuQQUXDiEFM9uEmcfI/bn/2X27b8h+3PyuxG/lS//f3CTTqSl8FnMXLjbE73hOM4oLWLX6Y/MqryDIuH8d0FoLA8dMs4xPQwX8CqsbnFhMPGUkq2HEYBwbAH/8IxanLLgO1tcDvp3LHeB0ERzJeY45CXAwjLaiMJBWSOmDETzyYPkUlj8FBdEgnTXfxY+GFhtDaEbViXRXImgi/Ws+cBlqcCPWhtQa+sI+zgPmpiNrQYY3fYCRwied4tlprJYMb4FIxcLxvrTXBxVMz4dk6igvotPIRtRd/exfKBPpU85yNdwQOnLLmduxb4BBGiKo+ZW/rWzNn6zluEuAsF7jx7Xlr7S2nhCh0KIhASotkH246+BztW8RQn3K4B/emwY3SuzKKlcLUtMVPmlTsNVnGsUOao5IgcPw0y/hh6+A/AVXjc4uJh4wkFeyKGI8cAf/0T1Ccuv56sH07lXvF9yCKJOM7bNrRMYy0iDKSVEjqgBE/8WD6FJU8BgfRIZ003cWPhRcaQmuDakVrDZSlOAuYcS9osqPVpZrAeTqpY8DaZegGoSMbvI2iTINnq7XWeEwUAw/ramFAmVqSBZ8TzoJeQ6eVj6g98mu8oC6pLLjmbOBPQ5+Vv/PAApu4V/T0Kdvqz4XTpg6nZtqrO5GxRNUoAiktkn24RdVbfQaPrT5VXbl/mEsBnMVZ9jYyXn6L33h1W/ykScVek2UcO6Q5KgkCx0+zjB+2Dv4TUDU+t5h4yEhSwY7G+NJL4IYboDj1k5+ADz6gcqO4HwRNMu7Dph0gw0iLKCNJhaQOGPETD6ZPUcljcJDh4eGjR48m5vlTRzc2+RdZoeKQNlZx31ZrDcibAtsszDC48KTSvWFX7dGNTSMHbwnqDM3HCqh0Rs9mioELBJQKCzPgA1CSHjyDbD6HcDsCesjv8GKBKWx5Q9F6fuXUvPzXDy6okrTvXFjV+OR71M+fqit5uT/wkj4fN2Zjzmqb6zQykGgbMeDJPtyi7bAu4/dHI+PqPX85E75N4r20GfY2xK7SKtfAHVmeZKuntAFRK7kLJr/yKrKMy8cxnYUgcPw0y/gEdPCfgKrxucXEQ0aSCnYExpUrweWXQ3HqD38AfX1U7pIIgyBIJkLYtGNkGGkRZSSpkNQBI37iwfQpKnmMx0GU9AUle10J1B04C6guQigOfK/qItggfSxotCm2URrfXHa6T4S5Ysd7a5sNn4GCqWBFKSykpoAG2Uq6COhJvpDzlxKNCXP57Nx1dwXOnJqVv/Ng6MopoRfyFsRGe8upP2dVQxSc5UTqI46lu4mHirxjBODRXSN3iY1QtfzIBW484Cx1C15C0pg6/2Sy1ZNe0YOsFRvRSWLWiAngp1kRDx/1Aczuf9QBsRvENwGvF2RnQ2UqKQk88gi4cCG+w2XRMQKMACMQcwL4iQfTp2gmSAe5kaa7+LHwKkNo7XCj3ZsFD80ByOUwfONWJ9z3x1nA4uy4EacUlxHh2cpq237729WjR7f99reymoAhlLYR6CkGHtbVVWXwGUgfC8/O5/f6laRLI0JTUGUVfxsXyoK0hC+8UbxiQuBtfdm5uyXb+oSOdNdP2Ws//DA1sOqQszxvrbQ3nhR8jkkBg5jsw00SxQ9/2nzDjfU//GmzxG7syxivn3K4B5/OdgDO8nFqOnIJVUHN6WSrZ8LMrrAYMfmVV5FlXD6O6SwEgeOnWcYnoIP/BFSNzy0mHjKSVLCPYDxzBtx1V1CcWraMnYauFe8ISa09WXsRAYZRBCOiIiMZEb5LnXXAiJ94MH3qUipo/KvDdk0abqobI6zQIGowPO9xwFn82feA5mqp1iA0q5oFhYmM8YpHUwktzVNQPIZJHWOh1erRo+1JSatHjxYsIQXjAVEMPKyrLU6QOgY+CWuWgtrAmrvUMWBdVchjExK8tgvkV3RBXcIU9i2onj6jM9nqmT6jc+/8kQPRJV0onj+1fP5fznJQsT3HTVpZ/DzSc52NGNZkH24S/2+4sT4pyX7DjfUSu5EvY3v+FE/GturYeW4C4Cz18xCvPqx0Ddwe2OK3eF0/niQmv/IqsozLxzGdhSBw/DTL+AR08J+AqvG5xcRDRpIK9iDGI0fAz38Oxam/+ivw1FNURk60QdgDSSXjDCMVjAAARpIKSR0w4iceTJ+iksfgIDqkk6a7+LHCCg1Cg8CR534uxbticYjKIDRw1YIWR/C9fkvzFNuI25ukrCjT4NnKahNIn3LVBs8gqy6CS6gKHoBaVWlmyFMh46PegPx+LtGYkJdF+TvgIpSsj94oXoFswBup6FM21+mtM+pg4IFFMbaa95Fu62/EcCb7cJOEwPQpCRD1l5tnrACc5fPUx6rbeuW97p8Ht/hZK8O87RGTX3kVWcbl45jOQhA4fpplfAI6+E9A1fjcYuIhI0kFu9fr/aC+3v83fwPFqdGjwYEDVIZNwEHYA0kl6QwjFYxMnzIRRvzEg+lTtFIJx4mrzxeVClFzNQjs7OsuK/C66kJUBvEIFQXw27h1Amh2KLYRtzdJmelTJNmcz8GHYVEW7FtTDMtpoUeSRfBDKf/q7nAPYvQmvmrd7CeTrZ7brZ9vLWrBN45cn7KtOnYwLZcXp563Vtpawh8bhAwqGkYMeLIPN4mTTJ+SAFF/aWvwfMndAzjLmjlb5b1yHXCL36TZYbb4YfIrryLLuHwc01kIAsdPs4xPQAf/Cagan1tMPGQkqWD3rV07fMUVUJz63e9AdzeVMRNzEPZAUsk7w0gFY7x9E6cFRfs4OjyQ+IkH06e0J025x/DwcFdXV2K9v680E+7sy5p0cv1qxGvseJmp2QGVKc4ClhWQyBkG1qqGXbVdG9YhAld+SJA1pls/pRi4mmQtC4iVsx+CD4PwSsfFAbmK745kpM4o/+oeVp96ed4qS+BMdPvM5/Di1KGSqs6SqoZNR4jf31ddua+HmwY4y3luwqqip5HextCIYUz24SaJxYz6lMPdH0nGJQQiuXTnrgWcpZubbm+RrpOqaOlPtsK3+JU34bb4YfIrryLLuHwc01kIAsdPs4xPQAf/Cagan1tMPGQkI8Xu84FZs/gDp/xTpoDz5yMdMLH7sweSSv4ZRioYAQCMJBWSOmDETzyYPkUlj/E4iBqhYXU54FKg8FQzHyc8VeTDNlkT4S4/NcPGQRuNT4Tp9KmI8rg88OY+64TgINVz4eORPm7kYDKN9MTNkd//MarTwQW2x3LeTbZ6MnL3Kr2wT9IdeQs1xpXznvsmcIrQSe4hu+2Ami46txGTpFKW+G9OfWpQEkWsLm2NXYPcFMBZmma65T7cV9SVbPXMsEulK3FLKjllg8gJ4KdZ8vZGs5jdf6PxZP4Yl8BXX4G77+bFKVBaCoaHjesq84wRYAQYgfglgJ94MH2KZuZ9Pt/hw4d9Ph/NQWM1lhqRaPZDUFmY87DPVXd4U6sPub+v2QEy74bNKmdGJGqo8Uf3NoqBa8ya6fQpxcDVpKC5Gj4PnCV4LHprDcgJvNixLCf4hGikJ24u/jYulCUCk/jSOfOZZKtnTNanO4uXi+1K5YMLbc2b33W6catUhPsKBXtb38ac1XzUB9LybKs/F6oMVRCTlJTJPtwk0ZlRn3K6+wkyLgmc1mVrQSvgLL3cVFtLt2TMbNupZKvnviLcFj9JTvGXZBnHj2mKWoLA8dMs40etg/8EVI3PLSYeMpLk2I8fB//yL1CcuvrqYbc7fqbr5EQo9GQPJAWIADCMVDACRpISRx0eSPzEg+lTlDIZGEaH7Zo03cWPFVZoCByLDlJTwOqliscwuWrB0jz4tTx7Emhxxp8+pRg4nq2s1nT6lGLgYR8bvsGMgCAlLLuzzYYPSeb44PsfZXzUGyRf2vlLJbHppXmr77QeS7Z61s7erNRGYic4f8recurlzMW8OPWs1WZznUY6aQQjhjPZh5skKHPqU33urbuc7j5JLDG5tLX0nOamAs7iym+ROFDWFNziV9GiKJ5i8iuvIsu4fBzTWQgCx0+zjE9AB/8JqBqfW0w8ZCQJsXd0gL/9WyhO/d3fgT17GEZCjLJujKQMCYmBYSShhurDSKKoaLbpgBE/8WD6lOacYTrokE7M3SlX4YUGuOblPviVe2EGcNUqqhXN1cHFU1VxuHgKF7jGZCScPjX3MfjwCAumWp1QweQsUM101WqEF9Jc8qWdv5RoTPxl54Kq1Jz9yVZPVm5H54IqZBu5Uas+ZWvwvJMG97f6uJSmQsS2LKTDsTKGoAy9IPtwkwTC9CkJEILLdTM3As7yBTfZ1ihdKjVpFtzil+dQFEBDUxrmiizjYQY1QzVB4PhplvGD1sF/AqrG5xYTDxlJEuxuN7j6aihO/eu/Ao+HHaJMwlChD3sgFcBoMzOM2ngpt2YkldloqNEBI37iwfQpDdkK21SHdIb1gVoDvD5lnwPVhIxxoNGOk2nKA+8py74nLhdP4QLXmIaE06fKc+DzM/exkSV1lTOhxToBHlIWwR/kF365zHSopKpp9qZkq+cu62c7ilcgGyCNmvSpquVHjqbClxV+w01YPv9FpG+GMmLAk324SaJj+pQECMGlveVUV+rDgLO0562TdM+shFv87i8+KbELl5j8yqvIMi4fx3QWgsDx0yzjE9DBfwKqxucWEw8ZSW3Yh4dBSUnwwKkJE8C5c3x3hlEbRuXWjKQyGw01DKMGWNimjCQWj9pKHTDiJx5Mn1KbKjXthoeHe3t74//9fa1OMAO+6VxY/zLsqu11r5G+xq6pGmSMh81ss0dkCLzsZbZadODaVwAddrsPrVt32O1GP2bGw6IYuEpX+c2hM+4deTBanMA6ET4tywrRENRZha/i4oJcadoz3zkx66Nkq6d65rPyWoyls6Rq1aajDveAeHxk2W7v5LdiDXJTHBUdyDZGM2IYk324SQKcnrVvSuru6Vn7JHZjXw6ozLhuUTTM3oxcQrVoHdzid0eWp9KFfj4x+ZVXkWVcPo7pLASB46dZxiegg/8EVI3PLSYeMpIasJ8/D6ZMCYpTs2cD0eGwDKMGjNimjCQWj9pKhlEtqXDtGMlwhFTV64ARP/Fg+pSqPCViI4zQUDUL6gjCaUFKLcsCa2Rm3Ata4/DkqRFhBRk+3ScGeQtTG9dVwUeIswQPnOJjCb7ncRLweon5ITUCud60qOAluNJkxvvvLrDLa/EW5C2kxoq9X3CTAWfxpD5iq/lAWus2yivhJI4RY1fqKBmfXVIhYHOdPsnBd1O05TVJBry78ESy1VNYi97ip5QmZo+QAH6aFeHgOnQ3u/86IGK3MB+B7m7wu99BcerKK0Fzs/n8Zx4zAowAIxC/BPATD6ZP0cy8z+fr7OyM8/f3tVw6Kqg8V9BofK66zifbQt7f12QPLp6yzxGaxV8BETgvtdB8rIABuSkGrl41s06A+tTy0pHohFc9vvUyMT/J13X+UqI3vVa8kj8WfVORS1IV9vLgQptry178+/ucS3ad4+BxWh+nptlWfYZ0yZhGDHayDzdjhqnJK6e7P2zGNQ1IpfG6WZsAZxnkJtsbQ3bzpS3tSbZ6HlwQYhTuiMmvvIos4/JxTGchCBw/zTI+AR38J6BqfG4x8ZCRVIX93XfB6NFQnPre98DOnfIuDKOcCZmFkSTjJunFMEqAEF8yksToxB11wIifeDB9SpyOSMs6bNeM1EX1/ZWEhuCr1u4GzQ5BWUCcj75kBlQfcu4FrTVCs/grIAJPDH1KMXClx0Zunw0XgIBlBSFPBX9gWfETYNin/lEVtxS+iosLEtWpMG9XstWTmbtHYldzGfb8qbqSl77l4LbW99Jm2Bo8YjeMXxaTlJTJPtyMH3JYD51uA72/T/DW3nKqm5suf5FfyZq+ZKvnzmyPbT1ii58kp/hLsozjxzRFLUHg+GmW8aPWwX8CqsbnFhMPGcnw2LdtA9dcA8WpW28FR48i2zOMSCwERkaSAJq8C8MoZ0JmYSTJuEl66YARP/Fg+pQkIxFd6pDOiPzT1FkuKLhqodiUC3ctCSdP8eKCVK1osoP0cbCZvShEfUCOaWajNHAhFk2oARj86KP+Dz4Y/OgjdD9hWMMUFANX7+GiLPiEzOdCnhDhzLK9b6BRhLMKX+DFBbHw9NzcdclWz+3W4y/MaxDbVZbx+tTy+S8OcfDJ35s2U7KwReyPYcsYumQfbpJIi+zHZlcdLbIfk9iNfGlMfcrhHuRf5DfATbE3dgsAq9sHxuTBLX5zVvQKRqGAya+8iizj8nFMZyEIHD/NMj4BHfwnoGp8bjHxkJHEYff7wdKlwQOn7roLnD2r1JhhVCKj1c5IaiWGbM8wIrEQGBlJAmjyLjpgxE88mD4lTwq5RYd0kjuntSdSaOCPtU4fy7+2T1AWpGrF4mwoPeTcF9+Lp9j7+7yuOuEZ0FyoLoIPSd4UacclgYdnYQYYHtb6zAIAhK/i4oJYe0rP3Qe/vee/ITaqL2P0KUGcejN9nr3llNgBs5QxwMk+3CSBs/f3SYBEcmlvOXWaexBwlpYCl3icxxZ3J1s9jy4eEa2EWkx+5VVkGZePYzoLQeD4aZbxCejgPwFV43OLiYeMpCL2CxfAww8HxakZM/AHWTKMihg1VjCSGoGhmzOMaC7arYykdmaIHjpgxE88mD6FyAqxye/3nzlzxu/3E49goI5IfaoQfh0CpZkSTcHvqj2zfpWf79J4afFU9VxJs/i7DAlcTExjIlePHm1PSlo9ejS6n3hkY5QVA1fv3pql8FlKTQEtocfnN9pBduDtkAd3o2lgrcJXcXFBkJ+emtsMdz9Zj+0oXiEYNRU6S6pWbPTI398XB+KUwz2IQUv24SbOgsM9aEZ9yuEeQGZcElpMLpsK3YCz9HMP2FpG1Kiilb3JVk9K7onqdukWP0x+5VVkGZePYzoLQeD4aZbxCejgPwFV43OLiYeMJBp7by/4z/+E4tTll4P6enQbkZVhFMGIqMhIRoTvUmeG8RKJSP9lJCMlGOivA0b8xIPpU1TyGI+DyIWGlYuDgsLaZTiliV//kjs57hdP4SBofCJMp0/hYpc/OUhLa01wE+iqMuloW5vgk1aWA7RLvUiZQFCg+MVT8wteFSwEBfkt4kOcwutTGp/oYHMJK3PqUwZ92aLDPWhr6enlpgLO0ly4XkBtWz/wpxmeZKtnwZo+wcgXyJLIeoUlgJ9mhe0e8wZm9z/mAJkDMSbw/vvgJz+B4tQNN4CXyd+vEuMo2O0ZAUaAEUgYAviJB9OnaD4IXq933759Xq+X5qCxGkuuKRQ/AVWDeY9L1QRXrddVt2+zG+72gq/tC5w8VR3nJ0/xEEYCl+DSmDXT6VOKgUs44C8L4FdrYJstfaK+PAP4t/t98K5GkLj9fcLiqTdIF08dKqk6uNDWvvUtp3vkm39N6Wv8mVPm3dYnqBgY2mQfbsLIfMGM+pTT3SfJuCSo2F42F64HnKWXm2pr6RE8mVYCt/ilLR2x8FWY/MqryDIuH8d0FoLA8dMs4xPQwX8CqsbnFhMPGUkp9hdeANdfD8Wpf/oncOSItFbhmmFUAKPZzEhqRobqwDCiqJDYGEkSarI+OmDETzyYPiXLSQQGHbZrRuCdxq4SZWFdFUgdA9WEFYukakJAn+rYsgHqU2X8a/vi/+QpQZ8KBi7BpRG2GfUpdOASDvjLknT4RC3MkD5RAICNq2FV1SyNIHH6VEbu3mSrZ37BawRrpoQu0vOnyt8+z00AnOXt9DkmPXNKEDXw66fIPtzEg5t0f59hz0fn2dpauvu5BwBnaSpsF2gX1JxOtnomzOwSLHxB008TWcY13cKYjQkCx0+zjBmm2Csd/CegKvaQlQUCjKSAAq6wdjrBZZdBcep//gcMDIxUhSsxjOEIqa1nJNWSwrZjGLF4NFQykhpgKTfVASN+4sH0KeXkaK/RIZ3anSLtIVEWynKgXpB3P3LXXvB89CYHyBgPm9nnSBUHyWjxcik9GF6ISyP1BNWnqmbBp6XwQenTAgAY7As+Sx+/r4ml5As5f3mopOrZwGv77rB+TnzyFC9RifUpe9U7Z7l7AWd5Ny1fvHoF6YMpjBjUZB9ukqhNun7KvXWXeMWcJKiYX7YWtALO0s1Nt7lO884scw3cboVb/JY09ovdw+RXXkWWcfk4prMQBI6fZhmfgA7+E1A1PreYeMhIBrFfvAjS0qAylZQEUlPB0JCmdDCMmnBhGjOSGDjqqxhG9azwLRlJPB+VtTpgxE88mD6lMlOqmumQTlV+UGkkSC2uWtDqBFkTg+tZxPZLZV6m8ZXnwjYz7kVqWFIN4lJfU9uZPhVR+uqXwAcmY5z0geEf4LY6WOss1vQ4i7+NC+VDJVX5eW9G8to++fopu/O9fu5+wFk+TLXaGqULVYRbm6uAQU324SYJn+lTEiBULu2NJ7/gJgPOsmbOVmHAyXNPJls92baQ90hi8iuvIsu4fBzTWQgCx0+zjE9AB/8JqBqfW0w8ZCQh9sFBkJwMlalRo4DD1j4S2QAAIABJREFUQXBUJcNI6+llJKmQZBipYAQAMJJUSOqAET/xYPoUlTwGB/H7/efPn4/D9/c55wV0hPGgxYHUI/yu2vMtNf7Mu2Ez+XFCcSFFKQbetiL44kJxmBofK9Otn4IZRwYuhhC23OKE7+/jLKChIgQvT6/vFEgLbCk99pF6nML3c3HhteL6262fJ1s9f5m3RlCayAqdJVV1G7pt9Z92c9MBZ/ks9Qlbw3HxvUxdxnAm+3CT0DCjPuVwD9Rt6Ja/sVESWmwvN+Q2AM5yLPVxe1sv70m27VSy1XNfUYhyismvvIos4/JxTGchCBw/zTI+AR38J6BqfG4x8ZCRBB9/DP75n6E4dd114LnnyLLAMJJxk/diJOVMCCwMIwE0ZBdGEolFq1EHjPiJB9OntKYM197v93u93jjUp2Y/DEWE0swQEUGkPvhdtb6lebBN9iS42EpUFd9lf+DsrcTUp7yuOkTgWlOfNwU+No65Ic+J8EPWaIe1KxYJhrAFpExQUvBKstWTldtBpkmJe3WWVNkbj3+cCk/OOsk9ZFvxCfKOJjVi8JJ9uEk4mFSfCmzuG5DEYqhLW8Pxcxxc4rqy+AXesbKm/uTAFr9lrSOeY/IrryLLuHwc01kIAsdPs4xPQAf/Cagan1tMPEx0kq++Cr77XShO/ehH4NAh4hQkOkZicLKOjKQMCYmBYSShhurDSKKoaLbpgBE/8WD6lOacYTrosBwOc3fKVYLQsLYScIFFLqvLQ0QEoYGr1tvsHMqaBKWEyplKbeLSzvb3RZpW/qWQi7NCxhEe5Z4TwQVWXccEG74gVw2WtQ7cZf0s2erZWtQiVprIynvn2/amzwSc5Qx3n93xnvx2prZg2JJ9uElomFGfMvj56ALhrdm1gLMcTs20twVfLjlhZley1VPgDB5KhT//Xp56sozLxzGdhSBw/DTL+AR08J+AqvG5xcTDhCa5ejW4/HIoTv3+9+D06Uj4JzTGSMDJ+jKSMiQkBoaRhBqqDyOJoqLZpgNG/MSD6VOac4bpoEM6MXenXCXIT/zJ6AUPhCgIQm2g4KsoAJzFnzUJtCTQ4ikgfnFhKBCtuTjX0/NVV9e5nh50R8ngBrhUFOa0+laRD2XN2Q+HPF1iCqvLYYOGCrENUxa+rgsFaxXc6PTwjIOdC6rINCmh18HiylfTFwLO8i033ln2tnCLuClgwJJ9uEnIlK7sKll+onRlyKYzSRujXZpFn7LVf3qBg6+nqCl9jWeYXtGTbPU8uOCkgBSTX3kVWcbl45jOQhA4fpplfAI6+E9A1fjcYuJhgpL0ekFuLlSmkpLA9Ong228jhJ+gGCOkhurOSKKoaLYxjJqRKXRgJBXAaDPrgBE/8WD6lLaE4VvrkE68AzRreaGhtQbMuAcKBFWzQhQEsQzR4vBbJwDO4luWWIunKOpTYRInpm2MMjV9ajmUe4B1QsjTJcZx4jPYIDUFnOoSm5XKwldxvlDdPjA2/0Sy1bNu9pOCzERc+HNmFXzOuZSVxc9LbhQfl0pUiY+cjAMsZtGnHO7B562VgLO8k5bPYy9Z05ds9dyZ7bGtD27xw+RXXhVXv87k4SlbCALHT7OUb2WUGh38J6BqFDoG8yMRSZ49C1JSguJUeTnBaejyHCYiRjkFGhZGkgZFdqo3FYpwEPZAUkGpA0b8xIPpU1TyGBxEh3TSdBc/Fq+D1AXkg/SxoLk6REEQqyTL4OKpC9n3eBNs8RTTp7yuOsWnQvyEYMrN1VB+4ixgbeXIUJInk9ewmh0SM/JSIojMXt6bbPWMz/rknQV2YlmK77h5xnLe1fUz1wYOJBqU3CsOLpFIeSPZh1scMDGRPmWr+cDHwVcKOJZ2ONyD1e0DY/KgOFu0MnhoOia/8iqyjMvHMZ2FIHD8NMv4BHTwn4Cq8bnFxMOEI/nZZ+AXv4Di1DXXgC1baDFPOIy0wMnGYSRlSEgMDCMJNVQfRhJFRbNNB4z4iQfTpzTnDNNBh+PEMHenXMVrCvM5+J18PjeiHUi0hhYnyILn8voqCiicli0Z3PCXtM5HD5M743FQDJzA1Zz74DPmnDfyjElwfHYENkgfC/pPSWrklxJBZMq8k8lWT3nhixGKU0/nr+Q3T23PKDP+adkSCOov5TwFC9mHm/pbG7jlgIky/mrmIsBZ3kyfy/N8dHF3stXz2JIe/lLIppoCWcbVjGzwNgSB46dZBo8XAKCD/wRUjc8tJh4mFsldu8D3vw/FqX/4B7B/P0XgiYWRIjjZUIykDAmJgWEkoYbqw0iiqGi26YARP/Fg+pTmnGE66PA6RszdKVe5akGLA6SPg9JAXcmIdiARICrhWdF+64TzrbWJqU+db1uBCFxjMjobGvY7HJ0NDeh+EuYGuPS7atGBE/gmPyJdTqF6LnwO16+Q10gsYplj0brgK8x2FK+IRJ96ZXZdP3c/4Cz70greKbbVbeh2uEfeiSa+o9nLEpjiS7IPNwmQydzbE6bvnMyZ6+iuARNl3G47AH9SOIvddsDhHuTXD47NP1HdDp9YcULDlskyHnZY4zcgCBw/zTJ+yDr4T0DV+Nxi4mECkWxtBVdeCcWp3/4WnDxJl3YCYaQLTjYaIylDQmJgGEmoofowkigqmm06YMRPPJg+pTlnmA46LIfD3J1ylasW8KJA1kTQWoPWp1qcIBu+ts+3NL9jywYKu70I1I2YdlE8hkljMlaPHm1PSlo9ejS6X0xjRKZeMXACVwP7Q8Gs6SM3klP46BD81p0xHpwZkFeKLWJB5IkyeD701PknIxGnOoqrP05NA5zl89TH3ppbfXChzb11F9vfJ2aOKYvT4XAPsvf3SYBE4/Lt9CLAWV7JXORwD1a1DdyR5Um2ehathS/1w2RKXhVXv87k4SlbCALHT7OUb2WUGh38J6BqFDoG8yMhSA4Pg6Ki4IFT990Hzp+nnoSEwEidGmpARhJFRbONYdSMTKEDI6kARptZB4z4iQfTp7QlDN9ah3TiHaBZ66oFcx6BosAi64hwIFEfqmbBBpl3e5udTJ8KoaQxEwmtT61cHNSeBBlUTs/vB5WFsNkmhSVml7oIX/ht6wfuyoHfzItW9BLrUweLK99Kg9/2z3L3vjhr+aGSKqZPXSKt6l8hHXyB6VMSIFG5LH8bcBYvN8ZW86HDPXh/Mdziaq06xfQpVY8s0emq+GmWyvvGsJkO/sfV7CiGqSJ6PmPqr/abnzsHJk0KilPz54PhYe1DhO/BHsjwjNS1YCTVcQrTimEMA0h1NSOpGhWuoQ4Y8RMPpk/h0qO1Tod0anWJvH2jDb40jbOAVWUhyosgUQmv9ivPpbmaRhjfDAXFwDVyT2h9qsUZfNLWLA0+aUh67++HT6N1AvjqDLKeNwpf+AtrTydbPWMCO5uI9amnrPD49ovc2G15K/lBmD6FgS+vEtLBF5g+JQESpcsDaXmAszxnrXK4B3Psp5KtnvuKupg+JX8+kRaC3+P4aRbyLoYy6uA/AVVDITKOM3FO8sQJ8OtfQ3HqqqvA+vXRwx7nGKMHTjYyIylDQmJgGEmoofowkigqmm06YMRPPJg+pTlnmA5er3ffvn1erxfTxjRV/HKV3MloccpVC+xzgstemqu9rrp9m92Jub8PHbjGNJtRn0IHTqYq5sPTneATxXdH0vP7QdkM2GxLI7KeNwpf+CfPhctG0ivgydBk+tTW3JU+Dkq0W7JqhBEOLrS1b30rMff3EXy4CengCybVp0yX8drSV+E7VbnxtvpPy5rgKWy3Wz3LXGH2xkp+rOLq15kkNuwlQeD4aRb2boao1MF/AqqGQGM8J+KZ5N694KaboDj1t38Ldu+OKvt4xhhVcLLBGUkZEhIDw0hCDdWHkURR0WzTASN+4sH0Kc05S5QOM6dBLaA8B61PtdaA3MmwwZIZ6AZkOkXc9NL4lJhOn6Kc9AXwgCewMAOnTwEADu2BzawTwJeKS6h4HWRJY/Bk9PKmfjJ96uXZtV9w8AnfkTb/YHGloE8dKoFrUuL1r8bHNnxzCSgz6lOSEExxaW/rO5yaAaXVGSsc7sEJM7uSrZ7C2tPhE8ZaEBHAT7OIhtS1k9n91xUWu1mUCGzaBL7zHShO/fKX4PjxKN2EDcsIMAKMACNgBAL4iQfTp2jmyO/3nzlzxu/30xw0JmN9dQYKAZwFrKlAKxHOYlibPhY02oELvrnvzPpViNfYxY3epBCIYuAas2Y6fUoxcAVQ6KdIaMwfZFYwNYw+5feD8lz44D25VgkwLx+kLYUno99ffJK/FKtLasr7iu381/ujqVxHcbW4S2dJ1YqNnsR8fx/Bh5tEzTGnPjVgxozXz3sWcJYvuXtsjV2p5fDH4aGF3Uo/NUh7/Pw6Q4anbCQIHD/NUr6VUWp08J+AqlHoGMyPOCTp94NFi4IHTo0bB776SgfkcYhRB2qoWzCSKCqabQyjZmQKHRhJBTDazDpgxE88mD6lLWH41jps18Q7QK32jeehCpA3BS0rtNaA/Adgg9JMvoHiMUyCABGnBcXANWbCdPqUYuBkiV5VBh+ntLHBN0Vi6AmnUJ1Fv4zM4R6sbh8Yk3ci2eqZWddLpk+9nL4IcJavuHv4M9HF+hQ7fwqTHHlVHOhTTnefGd/YWN3W25X6MOAsrvyW4lV9yVbPXTke37CG/3cSP7/O5M8l1kIQOH6ahb2bISp18J+AqiHQGM+JeCP5zTfggQeC4lRhIfD59EEebxj1oYa6CyOJoqLZxjBqRqbQgZFUAKPNrANG/MSD6VPaEoZvrUM68Q5Qq62G7yyDa1WQckNdCaxNHQPWVTF9Cv3iQo2ZSHR9qrUGilPCYfwYen4/WArPfgYb1yBbOdyD8+p74bfxGR7b+gECfWpzdh0cn7NsyQmeic70KUD60iimT0kI6HnZNNMNOMtpbmpVcw//Lsv3j15A/tQgjfHz6wwZnrKRIHD8NEv5Vkap0cF/AqpGoWMwP+KKZE8PuO02KE5dcQVYt05P0nGFUU9wsnsxkjIkJAaGkYQaqg8jiaKi2aYDRvzEg+lTmnOG6aBDOjF3p1b11RmoPWE29/FHUy1IE9QryqtpkKKYIY2KgWtMRqLrU65aUDgVPnJVs+BDhf/zwbuwZcZ4cAZx3rPDPfjQwu5kq+exxd2CFiAWmPDlZwpXXuDGA87yTEbImVNCL7Z+Cp8cSa2QAr5gxv19Jl0/5XAP2lq6B7kpgLOsmbN1euCHYt2fFQ9ukySOWJGUj2M6C8Hvcfw0y/gEdPCfgKrxucXEw/ghefAg+OEPoTh1443g9dd1hhk/GHUGJ7sdIylDQmJgGEmoofowkigqmm06YMRPPJg+pTlnmA4+n6+zs9On1/pkjCcRVeE3962EW58AlwIaRo6m8rnqOp9s87nqBMUqQQqKgWtMwKbk5OZf/GJTcjK6n/G0OcXAiV0tzYTPFS96oilcsvr9YFkBbOyuv2Qa+beqbeDObE+y1bNgdZ8gjgjqEr6we57dwz0KOMv+tIJ3Q89EFzoeXGhzbdnrdMNj1+Pv7whHWYnsw02C6P/8ov3vRq/7P79ol9iNfOl095s34xtyGwBn+Sz1ifxqeAQVV9YjS6yigSzjisOZp4IgcPw0y/ih6+A/AVXjc4uJh3FC8s9/BtdeC8WpW24Bn3yiP8k4wag/ONkdGUkZEhIDw0hCDdWHkURR0WzTASN+4sH0Kc05i/8O/NnnZQpv7pvzCJQG5j2RIAoUYZh0nxJi0cdEHe2BLaV590PgYf8cPggfwozxYLBP0rbAeTrZ6hlfcKK6Pbi5T/37+15LhxtX+7n7dxQ5BUFKXjCymBKhbxKYkV9G6A/rHiEBW8Px89wEwFlqil9MtkLd9vSgN/K0shEkBPDTLEljA16a3X8DImUuKRLw+0FVFRg1CopTd94JvvhCsSWrYAQYAUaAEYhTAviJB9OnaKZ9eHi4t7d3eHiY5qA6j3X+a5A+Dn75X70UIc3w51jD2nJx7bCrtte9ZthEagglVxUDp5s1St6KUxZhWTFwYlfXVMCnLjUFtDjCw4MT3FmwffsKSeMpc0/+75fwzGWnxF/s5RqT3LI5ezngLMNcytZcxLFTQvvOkqpVm44m4Pv7yD7cxFkwbXnA1Bn/c1Y14CwH03LuLepKtnr+vFPtu7HIMi75eTTjJUHg+GmW8SHo4D8BVeNzi4mH5iZ54QJ47DGoTCUlgawscPFiTBgCAMyNMVbUUPdlJFFUNNsYRs3IFDowkgpgtJl1wIifeDB9SlvC8K112K6Jd4BC7Z7X4dd+0dlSIULGvMdhbdEjIUZXreIxTMRqhUk6KgZOIROiIYxHQzFwYldba+B6KM4CVi4SRa5c/OgQbJw+Dgz0Co0Gzvr4RSJlTSH77wR1SanwwqzlX3MTAWd5VuHYKaEjO39KoK2mYFpNamTzpnnPn+Lh25Yf8XLwPMEFs3clWz3zV0uXHCrlMR5+nSnFhrUTBI6fZmHvZohKHfwnoGoINMZzwsQk+/vB//t/UJm67DKwQvr/lnQmbWKMOpMKdztGMhwhVfUMoypMKhoxkioghW+iA0b8xIPpU+GTpL6FDulU7wxhy9VL4df+bc0SBQpewhUuKQEFYbGklr5aQSxz6NtRMXBC+grd9A1KklzkpWLgkbg6azp8upYVKFCQme1zYPu2OqFi62tfJls998zpksgigrqELOwrtn+UmgY4y/upWfuLq5BtBCPTpwTaagqSRJjx0uz6lMM9+EomPDRwV/q8ZKtnTP6Ji16/mtzFw68zNXHK2hAEjp9mye5gOIMO/hNQNRwmYzhkVpIffgh++lMoTv31X4O//CXmLM2KMebgZA4wkjIkJAaGkYQaqg8jiaKi2aYDRvzEg+lTmnOG6aBDOjF3p1B1cQhkTYLf+T/7CKFKLEiFVbOmy6uiolZEonTo1VcxcI3JeH7atC133fX8tGnofnqFI8+skkUx8EhcXZwFH7DiJ9AQ5NaP34ft08eC/lN8ZVbVqWSrZ4Y9ZHNf2POntmeUA85ylrv3pdl1gg6lVGD6lDwPGItEkPq3/9z2s19t+Lf/3CaxG/kyDvQpe9U7/N7V9Px3kq2eAx99i0mZUGX6X2dCJBoLBIHjp1ka7x+D5jr4T0A1BiDMcEtTknzxRShLJSWBf/xH8OGHRsBsSoxGACfzgZGUISExMIwk1FB9GEkUFc02HTDiJx5Mn9KcM0wHn893+PBhE7+/79Be+IV/5jQwPCwVJtZWwrOBOAuoWyitctX6XHWHN7Um5vv70IFjnhJU1erRo+1JSatHj0ZVAjnwmFuiknHnPPiA5dyHhoC0Vs+FXVqcAIDufi+/uW9pS8jmPrw+tTlnJRyBs2zOWaGkSYntBxfamje/m5jv7yP4cJMITzfcWJ+UZL/hxnqJ3ciXTnd/HGR8Tzo8r2175tJkq6fhKVUHEpv+1xnyE0OFkSBw/DRLxT1j3EQH/wmoxhiKUW9vMpJ+P1i+HG7oS0qCm/v6+w3C1WQYDUIN5QYjiaKi2cYwakam0IGRVACjzawDRvzEg+lT2hIW561dtfC7On/mtGQhTGkmrCqYClprYi6OmMABjQ+K6fSpqKRgXRUvFYFvz6vl9+mHsEvaGHD65PrtZ5OtninzTsrFDrHAJC7vKKr5gpsMOMtf0heL7fiyfPy4sajFrrqdhIwZ9SlJCCa9rFn8xiA3ZfOclmSrhyvvUZ1A1lAVAfw0S9UQMW1kdv9jCo/dXJnAxYvAaoXKVFISPBb9wgXlpqyGEWAEGAFGIIEI4CceTJ+i+SgMDw93dXWZ9f19fj/cu8dZwHv7IBSxPtVoA2ljYVVNcYj9UpthV23XhnWJ+f4+dOAaHyvT6VPRyji/vfTwAQ386krgk9lQ8fiSnmSrJ89xWq4gIPWmg8WVHWlwUcnnqY/tKbYh28iNnSVVDZuOONzSJVrym5rRgsFO9uEmgWBOfao/DjJub+uztfScPee7PcuTbPX0n/Fics1XkWU87LDGb0AQOH6aZfyQdfCfgKrxucXEQ9OQ/OILcOedUJkaNQrYbMCv6tg73ZCaBqNuREhvxEiSkgvpxzCG4IjggpGMAN5IVx0w4iceTJ8aSUbkJR22a0bupOIIJz6D3/OtE8BQ4P9xXdKeoCC1JBtW5U5WWjwVldOIxA4YtawYuCJldIXp9CnFwCPM1NzH4JP2nBuNCWkNPLce7tFkq+dPMzzLXAMSTURpf9/m7DrAWS5yY58pWCnXoZQs7PwpZBKUjJJcmFGfioPzp4QsAAD4M9q27z6nlDLBbu5fZ0IY2gsEgeOnWdpd0LuHDv4TUNWbgknuZw6Sn3wCbrkFilPXXgv+/GcDojUHRgOCk7nESMqQkBgYRhJqqD6MJIqKZpsOGPETD6ZPac4ZpoMO6cTcPdKqFzZBaaCuJDiOIDQ0VYOM8bCqugi5eAq4aqOlVgg+GLWgGLjGZDB9KvhoVeTDJ612gTZ+DRXr0+qSrZ6iFb3CV3FxQS42/WXW8q+5iYCzPJ1pl9diLEyf0pQacRYc7kGmT0mA6HwJAGh57kyy1bN4XfhTYMz960zTYxramCBw/DQrdHhqV17v/8/emYBHcZx5X9jGdmwnXjvH5gtO4mziOMl+u951sk6+ZDebiRMGgm8c347tNFcj7vuSAHMKkJAQ9z2CETe+MDY2NpdBRjZIHBaHxdGIS5fFJZA0R30ptWi1+qjpqqmu6RqVHj+m662j3/f3lnpq/uquDo0cOfLee++99dZbf/SjH40dO1Z/73ZJScmjjz76jW9844477vj1r3+tKArixAz8J6CKcLg1V3FA8uOPwV13QXHq+98HRUUEyQqHwZYtID8f/j8cJhggdhcOMMYOwhMtBEkqaRAYqWAEAAiSVEgywIheeAh9ikoemwZhkE6a7hrGmjwQSgMfv91k1iShCX2hvddTdjdPCX0qFMgxKncGtrGKQp9qAjhzDJxsvTvDHfqd/5w/3a3Hdp+sbFh32PILv0Fv2jNiyv4u8JbAg13kPY6f7FMHEfqU87QAAAzpEPqUAQjjIgDgi+N1/3iF32MDy8LhGI/b8P1xhjVNWzYmCBy9zGo5PLXS+PHjv/nNb27YsOHEiRNr1qy54447srOz1dFLS0vvvvvuwYMH792799ixYxs2bCgvL0ecmIH/BFQRDrfmKq+TnD8f3HQTFKd+/WtwrunVulj5WrcO3HMPHED97557wLp1WAM4aux1jI6C8EQjQZJKGgRGKhiFPsURRvTCQ+hTtFIJx4lEIqWlpfq/YdIc3dWxrlyCm0xLflB5fT2h6lNLMuETf5IfZAwySjCagBXIjgSyS1csap37T1kHjpks7vQptzK+JKtpHp495Rzh2cY39z3c40TNhJGZy2M/37dengYkf6302HuDZhikq5jF4vSMhav2t879pwgubgb9hUd9KjNYmTQZBwCEI9HHBpb5ZOXgsRh7FXP8ceb82mHVkiBw9DLL6iQUbJ06dfr73/+uDfTUU0+99NJLavHZZ5/VjrUGiAMG/hNQRTjcmqu8SzIcBv37N6lKzz8Prl4lSNO6dXC7Kk2cUnevatOGvkTlXYwE1BLaRZCkgl9gpIKR72/itBDQGIfBhEQvPIQ+RSONSTBG4TYoQqV1bQ5FlZ8mDYD2no+DJVkIfUpUGQk0c3R0xJ0+ZYxXJ1bGW9X/OTjldmxyBK6x0aoPL/pkpX+PD4HkX5+z2aCJGPafemvAzHqpE5D8a3pmx1SjLBuYx08ai3PmDlsayPCpT1UbouC3qGbt9YWVPllZ8k6NwySKZjEJoJdZMbuTNZg0adIPf/jDI0eOAACKi4u/853v5Ofnq6vzO+644/XXX2/fvv23v/3thx566I033kCfIiH+o10StZwRuHgRdOrUJCyNHUu2G3o43OLOKU2latMGPino0oN+nHEW7goCgoAgkBQE0AsPoU/RTDIDuZGmu/qxFk2FosDq+c22QDZYmgVSn4D2if3QooNbd9NQVD3cGco28GaOjo6406dsA4+f8+gecMoFmh5UcYIvdco5n6ysz3ofSP7yvt0ylxtfrqfJTIUjppZ2+TuQ/J92HVg0YrJmd34g7p9ykhGtjUHK4VOfSqr7pwAA7+267JMVOeP6rbJatloecPxx1jIQ3BJB4OhlFq4DDttHo9Fhw4a1adPmpptuatOmzcSJE9WO586dS0lJue2227KysoqKiiZNmtSmTZutW7cahq2rq7t4/aesrCwlJaW6uvofe1qFQiH1HvBIJKIWNUs4HEZYoo0vaNMahEKhaOOPaqmvrz969Gg4HI5Go/o2AAC9JdwoQuhPbba44Z7qkt5h1eJB91SS9fX1oRB8C6cn6H35ZfRf/xWkpERvvTWcn6/lF9e9zZvDmiZlPti8uWn6qRNAPxvRc88yufX19aWlpfpBzDPNbGnlc0/LrH7uqROyoaFBFce1NoKehsLJhSUSiXz55Zfq73UoFBL0sOjp5546ISONP9og4jdXQ+HwshwKhY4ePapOSJfoVVdXp6SkXLx40bA4UYtCn7LEQmjk9fnhSAT0exaKAoeKmyMPZIMpg6Gxx6NgcSZan7LdJjx+tcLbI9gG3szR0dHOMWM+7t9/55gx1q29B8E28PhdzRwOZ11aN2sUJmtFTcgnKz5ZqThdA3o9CST/hqx3DLKIJj+93X0ykPw1UuePh07XjFgHYv8pUwZQBkMi2j+1+fcdN7Z/yuIeN0NL7xST7P19AICqC2GfrPyxp3LhMmrnYV4/zlDz0VEdQeAJ0adWrFhxzz33rFixYv/+/Xl5eXfffffSpUsBAGfOnElJSXn++ee1aB999NHnnntOK6oHo0ePTmn5s3nz5oLGn9LSUgBAaWmpWiwoKCgrKwMAlJSUaBZ1Q6vi4mLNUlMD78grLCzULLW1tSrMgoKCXbt2bdy4sa6urra2VmtQWFgIAKipqdEsxcVwEVKkWT7tAAAgAElEQVReXq5ZSkpKAABlZWWaxQ331MFDoZD33VNJ7tq1yyP0Dsyb19C4G3r0u9+9tm2bliYC98aOPWqWpTTL2LFH1cFx555lcnfv3l1QUFBVVaU5LOaehkL/m2tJT59cdULu3btX/OaqrLDoqV2Ki4tDodDWrVt37dqlWsR1T+VQUFCAe1netWvXhx9+GAqFxKcGAb2CggJ17p08eXLjxo3qhHTpM3fz5s1CnzIszNwqEqxr3XIFa9zjh6EikPokCME/gDT9LJ0Ot6mW/GBcb7Q4JfZHj39/9OvQbf6NX/ShPYKL+tSCDDjrunQAtZdtcLQwr99yyScrqVMabwZ5ezmQ/F/1+tv0ZS1e5KcqUG/1nxmS4CZrq3vlYmlS+sZCn2pBP1bBOzITsSfJp08BALpMOOuTlc2FVxAJ5PXjDBGSsyqCwBOiT91zzz0zZ87UYho3btz9998PAKivr7/pppvGjRunVQ0ZMuS3v/2tVlQPGN8/VVdXt2vXroaGBv39Pvq7MNS/7prvGjBbXPpbruGGL9Ufh39q1t/w5bZ7Ksm6ujov0AsvXRq9+WZ459QDD0RPnYozuSzvn6qrqysoKGhoaNBuKzDPNLPF7eRqznghuXpnEHcAaRNSfw+LuAPIIT21mXof365du9Tfa0EPl55+7qkTUr3tVxtH/OZqKBx+qNXX12sT0iV64v4pw6rMxSLButZFb5wP/dYyqAjMer1FD/U2lm6dwKKpQp+yI2Ar07RAGXeBtrpkF45zu23gVFwd9iqckPvhn9Zj/vTPOu+TlVUfNt4geq22tsdfgeT/YMoavR6xLy3j8xEZX3aRgOTf2XWIXm/CPRb6VMyM6Bvos8DpcVLqU/PeqPHJysQllfpkGY55/TgzhIFfJAg8IfrU3XffPXv2bC2+iRMn3nfffWrx//2//6ffH/2JJ57Q306lddEOGPhPQFVzTxzoCXiFZCQCRoxo2nDqiSfAFZTYrfcfcazuP2XYH13dIp36/lNewYjAwUmVIEklUQIjFYzi/X0cYUQvPMTzfbRSCceJRCJlZWWq0EhzXLfHGt8HygHb32s+TzQK+j0DjWN6OtEsIoHssvwFrfP9fdaBN6OkcURF9KE6iLsZXwTfrwfWLorJruZS+OGe8OG+s5VwJw4AwMeT4S1Ul3o+n5N3ThNE9qVlvNkD3pZ1QXqK+Mk+VckqTsuYt/JQ63x/H8HFTUsBzweVSZNx7Rdq7+FrPll5akhZJBLVjIYDXj/ODGHgFwkCRy+z8F1w1OOVV15p167dhg0bTpw4sX79+m9961tDhgxRe65fv75t27bz58//8ssvc3Nzb7zxxh07diAGZeA/AVWEw625yhMkr1wBnTs3iVPDhoFIhFZG1Pf36SWqNm3gG/3WraN1hqZxPIGRckyJGU6QpMJdYKSCkeNv4rTipzQOgwmJXngIfYpSJvkd5mINfJZK8oOaquYgvtgDLV07ggUZTvQp0cZIoBkljSOq0pLRVQ8OvmMTnH6T+sdk984OuNNzt4lntZbZeecu9nwBSP6tkwKaJvL2gNwG6S/wyb7UGbg3TJnba8Mm34GGkdZB8iHiOiItrQ2haMd+p3yyckSp14zigJgAeplFPCy646VLl/r27fuDH/zg1ltv/Zd/+ZeRI0fW1zdnc9GiRT/5yU9uvfXWBx544M0330QPlRD/0S6JWu8SOH0aPPggFKfatgWNW57RdXXduhZv8fv+9+mLU3QdFqMJAoKAICAI4BJALzyEPoXLE9U+HA6XlJSoj6yj2nmqbteHUAsY07OFU1OHQGNaN4daRjiQU7JyaTiQ47B90jSzDbwFzdgF7t7fZxs4FbXr/Bk4/bo/Aurr0OyG5pb7ZGX5exe0ZpnB6venrgOS/1r3J2ctVTKD1VMC54906RrPO/v0ElVR+pTFq/dkBY2vCORattCc1zCaD8gubtrI6gGP7+/LClYmTcb1aR05p8Lwu6OvBQCQZdwwCI9FgsDRyyzvQ2DgPwFV73NLiIcJJvn55+B734Pi1Le+BZA35cUDJxwGW7aA/Hz4/8Y3OsYzmHXfBGO0dopLqyBJJW0CIxWMrXnpQgugOg6DCYleeAh9imZCuXx+eN5EqAWsW9IMovQLaOnSAcyb5FBIcnc3IiqShzuD2AbeTNPREXf6lG3gVDhHo2DAc3ASHt6HwHe5NvLnXvDhPuV8877+mcHqrOWVFX26AMn/2ZgZmcHq/D7z4BN/0pObh2TrlSayY7H/FCIj5qqk0Kcqgmu3ZwUrDLHwWNQn6M1t8MUCfTLP6436Yy4/zvQBkB4TBI5eZpE6wq4fA/8JqLKLn6szJZLkmjXga1+D4tS//is4fpwrbEZnE4nR6AvfZUGSSv4ERioYxf5THGFELzyEPkUrlXAc/q4vkQjo8zQUAo4eaAax430gPwZGSg7FKfH+vvjf3yf0qRaTDQAwZwKclu8Em6el6Whz4RWfrLz6evPDfQAAVTVYN+NjIPlDXTrNnrClXurU+GRfDpkgZegl9ClTHlAGg4jD5/1TyalPnakM+WTl4VTl8lXrvWP4+zhDzUSMOoLA0cssjHMnqCkD/wmoJgiG10+bGJLRKBg3rmnDqY4dwcXGF5J4HRXKv8RgRHnEa50gSSVzAiMVjFx+E6cVOdVxGExI9MJD6FM088kgnTTdBQCcOApVgNQnQahpe+mm8S/WgPmTW0gGyPti3L2bBnlq50660dI2cMw8CX2qRXYAAB+9BWdm1nAEyNcXVvpkZcGbNfo2TYLI8qqTgwZEJP/hxif7Crv2Lxox2aA0kRWFPqWnHfNY6FMGAoktGvL18ugzPlnZtrfWYFeL/H2cWYaBbyQIHL3MwneBdQ8G/hNQZU2Bk/MlgOS1a+CFF5rEqX79jMtFTrgZ3EwARoMHyVIUJKlkUmCkglHoUxxhRC88hD5FK5VwnEgkUl5eztP7+zaugirAjHQLCjiqUCSQXR6c2zrf32cduAVQlIk7fcrdjAMATh2DM7PnE3abT4TC0UcGwA2eDx5rsUeV9v0/b+6e4i69gOS/Kj32wWAK26KrelZxWsbslaWZwSrtRMl0gJijZBc3Axwe75/KDFYlTcYN+c1dVe2TlWnLdW/G0LUgy7huAF4PCQJHL7O8D4KB/wRUvc8tIR6yJnn+PPjNb6A4ddNNYO7chITsxklZY3QjBm+MKUhSyYPASAUjl9/EaUVOdRwGExK98BD6FNV8cjfYtGFQBdhs9XIfHH2qxc0vomMgG3cicKdPuZvxxk8Y0LsznJzHD1vC3HP4mk9WnhxcFo5E9Q00QWRK7tHL0hNA8n/Sbdi+UXRunlIlKu0UyXegJ0nl2ICIT32q2hAFv0VDTj89eNUnK8+OOB2NtvglMjQTxZgE0MusmN0T3oB3/xMOMGkd2LcP/OAHUJz6p38CH32UtGGKwAQBQUAQEATYEkAvPIQ+RTMb4XC4uLiYm/f31dfBV6RJfnBGsaCAIzOFAznFq/Ja5/v7rAO3AIoycadPuZtxFVXuaDg5N662BDdzzVc+WZkcMN76oWkH27uPAJL/hPRqWPIfHzyY7Gk+c6+i9CmBNbtb5/v7CC5uWjrUAx71qaxgZdJk3PCrdK0+0r43fMPAybPNbxjQ2nD2cab5HfcBQeDoZVbcHrk+AAP/Cai6HjafJ2BH8u23wR13QHHqvvvAkSN80rL1mh1GWxeSpEKQpJJIgZEKRvX9fQSLVVpnT5pxGExI9MJD6FM05xJnzw9/sQd+/x/0IrD84zmOPmW7DRPOIO7ekuOOJ7aBY04r7vQp28CpcFbpffgGnJ9WW1BFo9EX0623zlF1kJkjNgLJH5Y6bho0HUj+a92f3DdqkllsIrCI/aewpnZS6FPJuT+6msdBOeU+WVnzkcVux5x9nGHNS2RjgsDRyyzk2TxRycB/AqqeQOM9J1iQjEbBtGmgTRsoTv3xj6C62nsY4vWIBcZ4feSjvyBJJU8CIxWMYv8pjjCiFx5Cn6KVSjgOZ9eXNQvh9/9FU60R4AgN7qoVOJ4wFrlsA7dmamsV+lSLxKmcTp+A8/Mfr5IMGW/uOHm2wScr7XsrV68ZXz2WGayeOv/Ueek5IPnXp06fufTU1R7wOcGyAX0I1ChzF6FP2U5iqwqhTxkIJLZoTtHKDy76ZGXozHJzFWcfZ+YASC0EgaOXWaSOsOvHwH8Cquzi5+pMrpOsrweSBJWplBTQrRtoMH7+ckXL1lnXMdqeOdkqBEkqGRUYqWDk75s4rbBpj8NgQqIXHkKfoplSBumk6e7YVPj9v8BmTwEcVchWpsEZpIVCwUlH28Ax8yT0qRbZV+lFo6Dfs3CKHtlvwLliU+OX6lyLL9WZweq35SlA8p+RXpy68HRmsPrjycuB5G/o+uiBkRPMehOuRehThlygiwY5hs/n+5L5/qljp+t9stKhz6n6BuMWVJx9nKEnIk4tQeDoZRbOyRPTloH/BFQTw8LzZ3WXZFUV+N//hcrUDTeA6dOtb673PCInDrqL0YkHydJGkKSSSYGRCkahT3GEEb3wEPoUrVTCcaLRaE1NDR97zV66ALp0gF/+L9jcuY2jEEUD2TXLZkdxurTQI7jtaBs45rRStmw5/v77ypYt1v28x8c2cCquahTmTYRT9M08zaAe9Jl23icrb269ZLADADLH74xIcGLnpH2giiPTl5XXdYMbpZf37YarRpnbF6dl5K5QWuH7+8gubgZ9Sh55sOvQffLIgwa7t4tVSZNx8+9LNBp9ethpn6zsOXTNUEuWccMgPBYJAkcvs7wPgYH/BFS9zy0hHrpI8tAh8OMfQ3Hq618H776bkOiYndRFjMxi8MaJBEkqeRAYqWDk7Js4rZhdGIfBhEQvPIQ+5UJWuRiycBv85p/e3dZZKkJDqx3EFitRRWvDqEHaBreRApMHaAYAwIXL4Yd7wk2dz1eH9HYAwLWr9aVdJCD5P+o+Wi95nBg8CEj+iNSxZPgYs+SEa9GPnGTHBp7xF5OMD+/hWCZ0cqDKJytz131lWSuMTgigl1lORkhsG979Tyy9JDn7Bx+AO++E4tS994KDB5MkKBGGICAICAKCgCcJoBceQp+imbRQKFRYWBgKGb820zwHrbEC2fCb/8q5tuPhaCKhQE7h6mAokJMcd0U5j8I2cFusRBU4uXDufDwtbQOn4qoGqeIsnKXd/gKuXdVsmz694pOVLhPOahbt4N1Ri4DkvyA9NWX2Mb2UsG/U5Esy3JGqJvUlXDXK0L4ofcrytZ9kBSv04yfNsUbSfEB2cUsCMlnBiqTJuDmtAIDNhda/UGQZtzwFX0aCwNHLLO+Hz8B/Aqre55YQD10hOWsWuPFGKE797negoiIhcTE+qSsYGcfgjdMJklTyIDBSwag+38fNN3FaMbswDoMJiV54CH2KZla5eX44GgVD/wa/+e/bbRs/jtBguw0TziDxyCWJ6msbuC1WogrvYbQNnIqrGqRoFAx52TBRxyyo9MnKordrtFbqwYGCY3XSI0Dyzxu82iCL7EvLODIsLSr5geQvHTLMIDlhFcX+Uwbs6KIhETwWs4LJvP8UAKDmUtgnwxsSqy+E9dnk5uNM7zSNY4LA0cssGk65OwYD/wmouhszt6NTJhkKgV69oDKVkgL+9jdQV8ctGDzHKWPEO3lStRYkqaRTYKSCUew/xRFG9MJD6FO0UgnH4eb6Un6m8baUTvrbUowgcIQGd9UKHE8YC1W2gRtpxihzt/+UbeBUkqWnpd7oF5yl2hpC0U79T/lkpeSEcRn9VcXlDwZmfda1/9Q8481NqgJV1fvvQPJf7dF536jJWJqUvrHQp/TJiXlsEKR43H8q6fUpAEC3iWd9srLp0yv6hHLzcaZ3msYxQeDoZRYNp9wdg4H/BFTdjZnb0WmSrKkB7ds3iVOTJiXxbujmbNPEaB69NVkESSrZFhipYOTpmzitgN0Zh8GERC88hD5FM7EM0knH3S0boD6VMQg1Go7Q4K5ageMJp/qUeH9fi8Tp5+WeT+BcHf6aavv80DWfrHQeWhaJGF83pjaYlldu0EQyg9WqwHRwxLhwl05A8p8a0FcvOWEdC31Kn5yYx4ZciPf3GYAwLtrla8GbNT5ZmbC4Ut+Am48zvdM0jgkCRy+zaDjl7hgM/Ceg6m7M3I5OjWRpKfjZz6A4ddttYP16bnkQOk4NI+H5k6ebIEkllwIjFYxCn+III3rhIfQpWqmE40Sj0draWg7e3zd7HPzO/04QFTyOKhQNZNfm5bbO9/dZB44ia1HHnT7lbsb1hK5egftPSX5w/gwAIHdVtU9Wpi6r0jfRH1t+4dcUqDP9U4Hkb+j66IGREzQj1kFxWkZO/pnW+f4+goubIR086lOZwaqkybj+N0V/XHQEyr5PDWkh+3LzcaaPhMYxQeDoZRYNp9wdg4H/BFTdjZnb0emQ3LYNfPObUJxq1w7s3cstDHLH6WAkP3/y9BQkqeRSYKSCkadv4rQCdmccBhMSvfAQ+hTNxEaj0VAo5HV9KhIGvTvDL/ylJajgMfWpUCCndepT1oGjyFrU8ahPWQeOM21a3DOl72ggNGUwnK6b3wQAvJR+xicrO4pqDU20okEQUYuaArV/1KS6bk8AyV/et6tmxDooTsto3By9yvJEvBs1jOYDsoubAQin+lTSZNycVtXSEIp27Acfmz16ql5rQ5ZxrTu/BwSBo5dZ3kfBwH8Cqt7nlhAPKZBcvBi0bQvFqV/9CpyBf/hphT8UMLZCalYhC5JWVLBtAiM2MpsOgqQNGDwzA4zohYfQp/AShm7Nx/2ZJ4/Cb/upT4Jwi91wjaHp9YJYx+L5PqPUYqQZo8ydPuVuxg203lsNZ+z0kafLG3yy8udeSu21iKGJVjQIImpRr0AdHwzVrojU4dDw0Xq7w2PxfJ+G2smBIR086lOtYf8pAMDwWeU+WcnfdFFLKx8fZ5q79A4IAkcvs+i55tZIDPwnoOpWtJyPGxfJcBgMGtS04dQzz4Ba27/0cA4ptvtxYYw9fCtqIUhSSbbASAWjeL6PI4zohYfQp2ilEo7Dx/Xl/bXw235OWozIY2lSekXGXbUCxxO9VwyObQOPAddYLfSpFsky4Dl9As7YHo++8QF8c1//6ecN9fqiQRAx61P7Rk2+1PM5IPkv9nzBoSalbyb0KT3tmMeGdAh9ygCEcRGRr/VbLhl+ufj4OEOERFpFEDh6mUXqCLt+DPwnoMoufq7ORE7y8mXw2GNN4lR6OojY/pmHKx6EzpJjJDxh0nYTJKmkVmCkgpGbb+K0onVtHAYTEr3wEPoUzdwySCcFd3PS4Lf999fGGApHFbKVaXAGaaFQcNLRNvAYcI3VQp9qkX0DnmgUDHoRSP7FEz7wycqKD5pv8TA0BABYfuHXC0z70jIOD0uPSh2A5D8+eLChKmZR6FNm5giLIR1CnzIAYVxEZKrs+s2JV+uavrXy8XGGCIm0iiBw9DKL1BF2/Rj4T0CVXfxcnYmQpKKAf/93KE7dcgvIz+cqYlecJcToii98DypIUsmfwEgFo9CnOMKIXngIfYpWKuE4HFxfwmH4ZJ/kByePxogcRyGylWlwBmmhUHDS0TbwGHCN1UKfapF9Ix4A8nKA5H+3+wSfrBw/07xFjrmh5Rd+s+pU3qcrkPx13R7fP2qiuRZhEfqUmTnCYkiH0KcMQBgXEZmKRqPPjzrtk5WC/VfVZhx8nCHiiaOKIHD0MisOXxh1ZeA/AVVGwfN2GhKSBQXgn/8ZilP//M/g0095i9gVf0kwuuII94MKklRSKDBSwcjHN3Faobo5DoMJiV54CH2KZnoZbCcWr7vHDkNxqndnEEFuPgVAC70glloUDWS7uFt2rLNjuUq3sW3gmHniTp+yDZxKssz0Dn4OJH+19PSzw06h3z9g+YXfrDcdGDmhoeujQPKf69fDXIuwiP3RzclBWAzp4FGfygxWJf3+6GoGs4Lw5Zi5q6rVIgcfZ4iZF0cVQeDoZVYcvjDqysB/AqqMguftNNgk8/PhPVMpKeCBB4Ci8BauW/5iY3TLEe7HFSSppFBgpIJRfX8fB28qoxWta+MwmJDohYfQp2jmlsHrGON1d+MqqE/ljok9Do7QEA1k1+blts7391kHHptvixY86lPWgeNMG1utsAWbxkKo4Vp3eN/fipk7zJV6i0EQUYuWepMysH/jRukdS4aPsWxgaSxOy8jJP5MZbI3v76utrUWLg/pEqMeGdHCqTyVNxs0J0lu27a39x/2JfxvT9D4vDj7O9N7TOyYIHL3MoueaWyMx8J+AqlvRcj4uBslIBKSnN2049dhj4PJlzkOn6T4GRpqnTcKxBEkqSRUYqWBU9SmCxSqtsyfNOAwmJHrhIfQpmnOJwe1w8bqbNQLqUx++EXscHKHB9jE3nEFs1QoPD2IbeGy+LVpwp0/ZBk4lWS3YNBV29B4LJP/pGTOsKpttBkEEoU/tGzX5svwskPwXUl+ylKIsjeL5vmbWDo4M6eBRn2ol7+8DAFyujTycqvhk5VxVqDXfJE/wOY5eZjn4RUlwEwb+E1BNMBSvnt4pydpa8MwzTeLU4MEx3tfs1WDd88spRvc8SJaRBUkqmRQYqWBszUsXWgDVcRhMSPTCQ+hTNBPKIJ1xuRsKgZ6PQ33q1LHY4+AIDe6qFTieMBa5bAOPzRenhfcI2AZOxVUTm9PlDSO7vwVvdxr0EohGTfXNBoMggtKn4EbpaepG6ccGD7FUo8xGoU81s3ZwZJkOvoytR58CAPSaes4nK+/sgPdZeP3jzMH0I2tCEDh6mUXmBsteDPwnoMqSAEfnckTy7FnwX/8Fxam2bcHixRxFx8xVRxiZecPziQRJKtkTGKlgbM1LF1oA1XEYTEj0wkPoUzQTyiCdcbn75RdQnOr7V0fvFcYRGtxVK3A8EfoUGwLuZtw0y9d9fMnf48u6ro/BCXz8sKm+2WCpfZhlJs1S0adL40bpT+wfNUkzIg6EPtXM2sGRZTr4MrYqfSrw7gWfrIyeX9GaF3kEn+PoZZaDX5QEN2HgPwHVBEPx6uljk9y7F7RrB8Wpb34TbNvm1TgS7FdsjAl2kJvTC5JUUiUwUsHYmpcutACq4zCYkOiFh9CnaCY0FAoVFhaGQvDhCC/+vJMPv97PHufINxxVKBTIKVwdDAVy2Igj3jmLbeCOEDtuhJMLNnBsA6fiqgnM0JnlPllRRo+GE3j1fFN9s8FS+0DoTdpG6Wf7yYhmWlVR+pTlaz9p3DC72vJcXBubOZqOyC5uXNNQnc8KViRNxk1ZNRq+OF7nk5VHB5wKh6NkGTeOyGGZIHD0Msv7DBj4T0DV+9wS4mEMkuvXg9tug+LUz38OSksT4iEXJ42BkYsYvOGkIEklDwIjFYyqPuXpb+K04nR5HAYTEr3wEPqUyxn21PDThsKv9x+95cgpKkJDqx3EEWLHjVobxpZg6uoj/j6nfLJy/sOtcAIPeB6xlYalIKKpS5YHysB+6kbph5xtlG55iuQwtgRPoZQcWJImipgZDUeijw6Av2tfHK+L2Vg00Aigl1laM88e8O6/Z8EydSwaBRMnNm041b49uHCB6dnFyQQBQUAQEAQEAccE0AsPoU85BumgYTQarampwX3FlYOBaTRpqAc9HoVf78+cdDQcjiYSDWTXLJvdOt/fZx24I8TNjXaOGfNx//47x9i8VxEnF2zun3I3481g4NHug1d9svLM8NPR+jrQ52k4hw981rJJc8lSSrCUpZqN1zdKv9jz+X2jJjfb0zKajkdNPjBy/Bcjxh0cOb44LSN3hdI6399HcHEzpKP9U5t/33Fj+6c2G+zeLlYlTcabf0/sj0bPr/DJytINFzz9cWbvf/w1BIGjl1nxu+T2CAz8J6DqdtScjm9Nsq4O/O1vTeJUr17As3fxewa6NUbPuMeRI4IklWQJjFQwqu/vI1is0jp70ozDYEKiFx5Cn6I5lxg8rknu7pH98It9/+fQ20s3j4+jibi7GxGOJ2zUGe0stoE3c3R0JN7fpyGFBy1/cldV+2Rl2vIqaF4+E07jeZNaNmkuWSodFpKTpj01Hhwenh6ROgDJf3LQQH3jo0NHVvaR6rs17nsl+YHkv9r9qS/Gj5m3+IjliXg3NnM0HZFd3AxAxPv7DEAYF01ZtTBs+OSyT1Z6TT1HlnGLEXkzEQSOXmZ5HwAD/wmoep9bQjy0IFlRAX73OyhO3XgjmDUrIV5xd1ILjNzF4A2HBUkqeRAYqWAU+09xhBG98BD6FK1UwnE8fX15axn8Yj93otOAcVQhW5kGZ5AWCgUnHW0Dd0q5qZ3Qp1pkvyW9l0ef8cnK9qJaaD5+GE7jHo+Cq1datmoqWX7h10tOdsfn+3YHkr+h66MHRk7Yl5ZRMnxMTerL8FxW/9V3e3zLpLysZRWWp+PXaIlUNZJd3AwohD5lAMK4iMivVnW+OuSTlYdTlZqL9QUFBd7dTlHzmPYBwVRHL7NoO0h/PAb+E1ClH2dSjGgkeeAAuPdeKE7deSf44IOkCJFFEEaMLM6ZnOcQJKnkVWCkgtHr38RpBen+OAwmJHrhIfQpmklmkE5ydzMGwW/aWzc4HQFHIbKVaXAGaaFQcNLRNnCnlJvaCX2qRfZ19E5XNPhk5U+pypWrEWiORsFI+MY9sP09XavmQ8sv/HaalN6+f9TEum5PAMlf2UdSBvYPd/kLkPxRyf9Vr78dHzwYilajJh8cOf7EoAGVA/+uilbHhwzJyTtreUZOjc0cTUdkFzcDB6FPGYAwLpqyam14ZQxUhLd8fknoU9aATFb0MsvU3HMGBv6TXUA8R8oDDrUg+e674Otfh+LUj38MDh3ygHfcuNACIzdee9FRQZJKVgRGKhiFPsURRvTCQ+hTtFIJxwmHw8XFxeFwmOagVMaqrwPdH4Ffqs+VOR0PRyEKB3KKV+WFW9/7+2wDd0q5qdyQxC0AACAASURBVB13+pRt4DjTpoUmpe+oo7d+yyWfrPTPOt9s27gKzuSxqZZPqlp+4dfrUIjjY0PgCwSi12+Yuiw/e2TYKEP7ovQpgdUFm6auaegKd3MrG9AnN1BmeVIejc2QTUdkFzcDBD71qcrAmt1ZwUpDLDwWTVm1Nlx/orbSox9n1l5TsxJMdfQyi5pnrg3EwH8Cqq6Fy/fATSRDIZCdDW64AYpTf/gDqGp8/p3vyJh6LyYkLdyCJBWSAiMVjJ7+Jk4rQibjMJiQ6IWH0KeY5DnhJykpgl/pB75g+ZXe2ju9XiCOcQlYM7W1cqdP2UpLuKAs2+s4DZtZ7pOVFZsuNtsuXWja6f/ogWbj9SNL1cCgMdkV94+aWN+oOkUl//m+3az3Sk/LUE+xYtbOa92fBJL/1MD+SfOg33WK1P41pINHfcoQAtdFh3ktOADfSPDcyNMefdeHwzAYNkMvsxg6Qngq3v0nDJvfbg0NoFs3qEylpIAuXUB9Pb+hCM8FAUFAEBAEWiEB9MJD6FM0p0QkEikvL49EGh9Eojlw3GO9sRTqU/MnYwxkKRzYGCOB7PLg3IhNrbtaRkJPahs4BmjYlDt9yjZwKum4Tq+uPtKhD3zb/bHTLdffS6fD+Tx73PWGzf9aygd2gpTefmDkhMvyM9r9U2f699LXasfFaRmzV5aq7+/Lm7unvtvjQPJ/Pibb8rzcGZs5mo7ILm4GAnzqU1Vaxg3hcFc0ZdXacLUu0r634pOVoi/OefHjzNpralaCqY5eZlHzzLWBGPhPQNW1cPkeOFJZWf/f/w2VqTZtwLRpGH905Dtuyt6LCUkLqCBJhaTASAUjAECQpEKSAUb0wkPoU1Ty2DSId58fntQffp+32bLHGgGO0GC7DRPOIDzKWLaBWzO1tXKnT9kGTiXj1zntPgjv4/jrcNN9HKdPwPncpSOoPHe9bdO/lpKBpi7ZHewfOfGy/CyQ/OEuncr7wP2twl3+UjJ8jLl9UfqU4NrtWcGmndHfmv4e9ETyb8h8x/LUfBkNMPVFsoubIXwe9amsYIU+44aI+CrqE4o+HpB93icrmYv3i/3R0aDUWvQyy8kIiW3DwH+yC0hisXjx7EeORO+7D6SkRO+4A7zzjhc95MQnMSFpJUqQpEJSYKSCUew/xRFG9MLDdX1q1qxZ99577y233PLggw9u377dEtzWrVsffPDBW2655Uc/+tGcOXO0NkuWLElp+XPt2jWt1vIAHa1lF4pGj15f6q6Bbp3gt+iKsxjB4ggN7qoVOJ4wFrlsA8cADZsKfapF4q7TU/fBmbrcameNacPglF4x93rbpn8t9QKzzKS37B816VLP51VN6ujQkftGTb7SeCPVpZ7Pmx/xM+hTmcHqT1+fBST/te5Pzll8zPLsHBkNMPVFsoubIXahTxmAMC7qE4o+zt900Scr8oQjQp9Cg1JrE7vwcOIhug0D/8kuIGi3W13tRx+Bu+4CKSl13/1uaM+eVhc+1YDFhKSFU5CkQlJgpIJR6FMcYUQvPNzVp1auXNm2bdsFCxaUlJT07dv39ttvVxTFwO748eO33XZb3759S0pKFixY0LZt27Vr16ptlixZ8o1vfOOc7sfQ11xER2tuT9fi0evLwc/hN/nBL+PdB46jCtnKNDiDtFAoOOloGzjmxBL6VIvsX6f38mj4HrFte2uvG3T/HvgMzuruj4DqCp0VWH7h16tRxuNRky6kvggkf6RLxy+HDFdrDw9Pj0gdgeRXBvYztDfrU1nLKs716wEk/+Hhoy3PzpFRT9JwTHZxM8Qu9CkDEMZFQ04RxS9P1ftkxd/7xNVrDYhmSVlFMNUTu/CIPwsM/CegGn9cSTXCvHngppvgnVO/+c3n777bCoVjutkUE5IWT0GSCkmBkQpGoU9xhBG98HBXn3rooYd69OihwfrZz342bNgwrageDBky5Gc/+5lm7N69+29+8xu1uGTJkjvvvFOrcnKAjtbJCPG0CYfDJSUlnnt/39pF8Jv8oql4oeEoROFATsnKpa3z/X3WgeOxBhteeGFN+/YbXnjBuh9OLloIPa51dDfjjRROVzT4ZOVPqcqVq1YbukWjIGMQnNhLMvXQLL/wGzSm5uKoyTWpL0NxSupYOmRosz0t42w/GUj+UJdOX4x4XW8vSp+yePUew9vc8ubuiXSBetYbOR9YOsCLUU/ScEx2cTME/p+/XffTf8v/z9+uM9i9XMwKVpoz7mWHEb4ZcoooRiLRJ4eU+WRlzyErdRjRk/8qgqme2IVH/MgZ+E9ANf64kmSEcBj07du0G/qLL4avXPHiOpM31mJC0sqYIEmFpMBIBaP6/j5xhYwfJoMJiV54uKhP1dfX33jjjevXr9cw9enT5/e//71WVA/+53/+p0+fPppx/fr1N910U0MD/JvtkiVLbrzxxh/84Aft2rXr1KnT3r17tWb6g7q6uovXf8rKylJSUqqrq0ONP+rerpFIRC2GQiHVEg6HERb1pUVag1AoFG38QVsAANFoVGujqlT6U5stbNyLju8Dv8Z/8gGee4Ecdb/zSCA7FMhR/1Mt4evF0PU2eku0URPRuoQCOdFAdlQ3iKUFtGyjSl36U5stnnbv+kzTTwDyudcq6a3fcsknK30zz6m/Uxb0vvwCbmfepWNIOaa2iUajmcHqrGCF9l/jRuZVRelTtP+K0zKK0zJgMS2jqverjeJUh2ODB2sNitKn7EvLKB41qbbH00Dy16S+3GRRe6VPadx8qrJRBajUTlQ4dgaQ/BdSX8xZdkY1qnuoZwWb21y3GN3TBmkcuSozWNXSUt3Sop5a38boTGbQ2mLlTAv31D89aRex+K97jYFYO5PZggxsE9M9y+S2ZJVIet53T8uskw+18YsqfLIy/42vtF7mjzCzhc2HmuqSdz5zq6urU1JSLl7UvWZUv0bx/DF6meh595PawYsXQceOTeLU+PF4d8EnNRgRnCAgCAgCggC/BNALDxf1qTNnzqSkpOzcuVNjN2HChJ/+9KdaUT247777JkyYoBl37tyZkpJy9izcKamgoGDZsmXFxcXbt2/v3Lnz1772taNHj2ottYPRo0e33KUqZfPmzQWNP6WlpQCA0tJStVhQUFBWVgYAKCkp0Szl5eUAgOLiYs1SU1MDACgsLNQstbW16r2XmiUUCtXW1mrFwsJCAEB1dfWWLVtUY3FxMQCgvLxca1NSUgIAKCsr0ywM3Nu9bWu0SweoT1WV19TUaKeO7d6a/NIVi0Agu3TFooI1+ep/ZfkLQCC7ZOVSzVIenAsC2UWr8rasW6Uaa5bNBoHswtVBrU1tXq76HJxmCQVyavNytWLh6iAIZNcsm61ZilflgcZ3AmqWkpVLQSC7LH+BZnHuXvGqPK0XdffUwI3uFRTQTG4gR/O/YE2+R+ipgbuS3EZ6w2aW+2Rl8oID6qS1/s2dORZKSKNTC3btKigoqKmpyQxWL1/7SXDtdvW/nHyoFm1aulz7ryh9yp7XMzctWXZqVG9VnDoxaGDhxGytwUfzl+xLyyiYkrtr5oyIBH93Dk6AG6XvzJqttlm17sOFq/ZlBqsXrtqvnWhhcN9l+Tn4Lr9p01Rj40vfqgNrdmttclcolu5pDdR9uHPyz2iW5Ws/yQxW565QNEtgze7MYPXslaWaZfHqPZnB6nkrD2mWhav2G9ybt/JQZrB68eo9WhtL99DXvS1bttTX15uve4gLS3DtdoruJYjetsDq3ZmNd1Gh6SXIve0Ok5sZrMb6UJubv88nK9K45g+s2J8adK97oZD2gVVQUGD5mYuYewUFBWSfuefOnSsrKysqKtLOHnNJsHnzZqFPaUsyy4NIJFJWVqbKl5YNhNGCwPHj4Be/gOLU174G1qxRGwiSFqDwTQIjPjPrHoKkNRdMq8CICcy2uSBpiwanggHGBOtTu3bt0oCMHz/+/vvv14rqwX333Tdx4kTN+Mknn6SkpJw7Z3wtVyQSeeCBB3r37q211A68c/9UQ0PDrl276urqQqGQ+Q/LZguDPzWH9+6C95gMfQX7T83X743S38Rkd/9UXSBn15r8usAM9d4oEOt+H/MdVZzeP1UXmKEGbry9K9nvn9ICN6fSbMFObih0rS7coc8pn6wcOXlVvVfC4v6pSAScOxXt/gjc2vyjt9VbQizvYdHfGwXvnxo1uaKPBH8vJP/JQQPg3VLX741SW2qWc327A8nf0PXRgyPHq232jJ4aXLstK3jecP9UZrDygymrgeSv7fH0zIBy/U4oy3uCuLx/qq6ubteuXQ0NDfrbMNU9UPQWw1UuCe6fmh4815jxiiS4vUu7E8rJ/VPnKmv/sfubT1YqvoKfaN75UNOiwP5Qc3ZZrq+vLygoUD/H1XPFvKVa3D+lrcfsDsTuKnZkbO07doBvfQuKU9/7HvjsM62ZIKmhiOdAYIyHnr6vIKmnQXwsMBKjM3QUJA1AyIoMMCZMn4r/+T4D0y5dunTo0MFgNBTR0RoaUy8ySCe2z6vnN+7Rk4XdEWfrItttwnEGYbNxEt2z2AaOjRvZwXsYbQOn4ioAhV9c9cnKX4efVr8ZouhsWgdnuPwYOH8aAAf7o4+aXNX7NdhF8pcN6KvfW8p8vH/UxGvdnwSSv7rXq2qteX90bbufrGUV1Y0PDO4aN08z8nWA4Ex2ceMrfEtvs4IV6n1tlrV8GRH5NVeFQqEXRpT6ZGVz4RVzbRJbCKZ6Yhce8eeCgf8EVOOPi+MRAgFw881QnHrwQXAafrRpP4KkhiKeA4ExHnr6voKkngbxscBIjM7QUZA0ACErMsCIXni4+HwfAOChhx6SZVlD8/Of/9xyf/Sf//znWpsePXpo+6NrRvXPpL/61a9ee+01vdF8jI7W3J6uhUE6sR0emwq/ihd8hN0RR2hwV63A8YSu/BRzNNvAMXGv9PkW/+IXK30+637eI2AbOBVXAchd/ZVPVqYur7IGordGImDqEDjJx/QEtZct9QJNeNo/cmJN6kvqnVOnTO/m05rpD74cMjzaKGYdGww3UEfoU5nB6renvwckf323x2cuhY/ycfefnqvhmOziZiDwk18s/+d2C37yi+UGu5eLrVmfGj3zoE9WJi118GtomC48FwmmemIXHvHDZuA/AdX44+JyhEgEDBvWtOFU586g1viCAkGSSloFRioYxevSBEZaBGiNI361qZBkgBG98HBXn1q5cmXbtm0XLVpUUlLSr1+/22+//eTJkwCAYcOGvfzyyyrB48eP33bbbf379y8pKVm0aFHbtm3Xrl2rVo0ZM+b9998/duxYUVHRa6+9dtNNN+3evRvNHR0tum/8tZFIpLS01EM7LFy5BNTNp2rwv2DgCA2Rxm2q1Kf/Ymo6ydTANnDMyTSnXbupKSlz2rWz7oeTCzZ4bQOn4ioAL48+849ni7btNS7NrflUV4C+z0CJanyf3ECZWexQ9aaS4WOu9uis7jmlPtan16EQx5WNDwPWd3v8wMgJxekZjbs7qXt+mxSo5VUVfbsCyb9jwiKzG963WONttJJd3Awh33nXrJSUqXfeNctg93axEpVxrlRIRH7NVZFI5J2Pj/lkpfPQsti3MZr7c2shmOqJXXjET5qB/wRU44+LvxGuXAFPPtkkTo0cCSIW764VJKmkVWCkghEAIEhSISkwUsEoJiRHGNELD3f1KQDArFmzfvjDH958880PPvjgtm3bVHCvvPLK//7v/2oQt27d+p//+Z8333zzvffeO2fOHM3er1+/H/zgBzfffPO3v/3t9u3b67ey0toYDtDRGhonf7Fx8ykwUiKJlIrQ0GoHwSTOnT7lqgp2uqLBJyt/SlWuXLVYnVujPXUM9IGv2zvft3tg7l6D3rFv1KQz/VMjXTo2bib1yJdDhiPUKHPVgZET6rs9BiR/ZR9pX1qGYXBD8d3Mtxt3ofprTt5ZQ5X3i9Zs47AaQuZTnzKpkFxpUvoU4GayviHasS/cBq60rB63b6tqz/vCg3f/k2SylZWB//gPKE7dfDNYtixJghJhCAKCgCAgCAgCJgLohYfr+pTJH3cN6GjdPbcH/4yQPxveVJI3gyRwHGnJ3btpcDxxVTcxD24bOCZx7vQp28BpJGv9lks+WemXdR6P4smjoHfj7VFdOu5Lm/xW9vuBeUWrc7fvGjdPVZeA5L8sP1MyHL6MD/e/Y4MbHyGU/F8OHYa+myZrWcWFxkcIN2es0EsDXBwjgJP9cc8QNZ/6VOu9f6q0tHRo42s0V35wETE3kqyKYKonduERP38G/hNQjT8unkYoLATf/S4Up77zHaB7rZA5BEHSzITAIjASQLPsIkhaYsE1Coy4xOzaC5J2ZLDsDDCiFx5Cn8LKV4zGDB7XjOGBoTodvn0MfNZ025qhMkYRR2hwdzciHE/MEpKrFtvAY8A1VnOnT9kGTiNZ6lfiFZvwvxJ/VXlkWBqc86b/Ql06lQ3os2/UZFxlSmtf1bj3eV23x1et3Nz4ej7b22o2Z6wEkv9C6otZyyoMAo3Hi8Z5qSuTXdwM8fKoT7Xm/acKCgpWf1jjk5VBOeW6uZDkhwRTHb3M8j4vBv4TUPU+N2oerloFbr0VilP/9/+Cxk0wECMLkgg4zqsERues0C0FSTQfh7UCo0NQMZsJkjEROWnAACN64SH0KSdpctqGQTqdugIAuFTT9C39Ug1GL60pjtDgqlrhqsAU5+C2gWsYnR0IfUpLRN2SGf4+8JGi42dIHinKDFavzt1elD6tso90tUfnqt5/Lx0yTBnYf/+oiZrSRHagPeV3ZOwItD6Vk3eutgd82PCt7PcNAo3Hi4jZSnZxM8Qr9CkDEMZFRH7NVWrGj52Gb9Js31u5Vu/4YVvzWFxZCKY6epnl/egZ+E9A1fvcKHgYjYKxY5s2nOrUCVy6FHNMQTImIicNBEYnlJy0ESSdUIrZRmCMichhA0HSISh0MwYY0QsPoU+hE4RXyyCdGA59tg3qU+ndMbromwp9ygEBoU9puhKtg0+zV/hk5dkRp8m2ZLb8wk8mSJl7HRsyVNV81+RusTyRZvz09VlA8iuDBmgWLg70FwDDMdnFzRC10KcMQBgXDTlFF9WMNzQ0PDvitE9Wdh+8im6fNLUEUx29zPI+GQb+E1D1Prd4Pbx6FTz/fJM4NWAACIedDChIOqEUs43AGBORwwaCpENQ6GYCI5qP81pB0jkrREsGGNELD6FPIbKDXRWJRMrKyrzy/r5lufC7dP5s7DDUDg7UGU2SiASyy/IXtM7391kHjgmdu/un3Mt4zpiPfbKSFazGRNjU3PILv1lpIrZU9v77pdTnVs7aYXkizTh/0ZGI1AFI/iXz92lG7x8gmJNd3Awh86hPZQYr5608lBm0eWMjV3ulI/JrrtIyPnV5lU9WZq35ytwmKS1a4M6jQy+znI+TqJYM/CegmigajM577hz49a+hOHXTTWDBAucnFSSds0K0FBgRcLCqBEksXHaNBUY7Mrh2QRKXmGV7BhjRCw+hT1nmJSmMI7tAfWrvTsJgcPQpTagSB00EMKFzp0+5lOjo0uwX+n3xj5f3fbKvFhNhU3ODIKIWidUoc8cDIyfMCJy2PIvBeHTYKCD5i9KnGexeLpIxR/QyBMunPmW70ZghOu8XEZlCVG3ZU+uTlVdfP4to08qr0Mss78Ph3X/vEzZ6WFwMvv99KE7ddRf4+GNjrSgLAoKAICAICAJJTQC98BD6FM3kh8PhkpKSsLObtGme2DxWTRUUp7p0AFdib2dg7g0tOPpUOJBTsnJpOJCD1SsJGtsGbs3U1sqdPmUbOM60MU8AZe5CdbObq9cIN7ux1AjMMhOxpSh9yuLVe7Ic3E2zOnc7kPz13R7LDZRZeuVBo+0EBYDs4maIkUd9KitY6TDjhmA9WETk11ylZfzilfDDPRWfrFR8FTI3Sz6LFrjz0NDLLOfjJKolA/8JqCaKhuvnfestcPvtUJz66U/B0aO4pxMkcYlZthcYLbEQGAVJAmjmLgKjmQmZRZAk42boxQAjeuEh9ClDRuIqMnhc06l/n34M9amxqU7bm9vhCA222zDhDGJWK7xvsQ3czBNpKZ4377PMzOJ586xbeQ+jbeDxubp68jtxvizMUhQgVqPMHYvSpwTXbkfvj97kw/Kqqt6vAcn/wZTVll550Gg9/RqtZBc3Q4xPSzsfe3Hb09JOg93LxVb+/r5QCGpSPTPO+WRl487LiBmSNFUEUx29zPI+GQb+E1D1PjdsD6NRMGUKaNMGilN/+hP4iuSZWZVkXV1oyxaQnw+2bHG4bxW2s8ndQUxIWvkVJKmQFBipYAQACJJUSDLAiF54CH2KSh6bBmGQTqfuLp0O9alV8522N7fDERpcUitajz5lxt/CgpMLNtBcyvigYZ/5ZGX15ostwscpWCodZpmJ2IKhTwWrt04KAMl/tn9PS688aESQJru4eTBGXJeEPgUAWPJOjU9WXl9YiZghSVNFMNXRyyzvk2HgPwFV73PD87C+Hrz2GlSmUlKALIOGBrzu11uHQqFJkw7fc09UHSklBdxzD1i37nq1+NcZATEhnXGK3UqQjM3IQQuB0QEkR00ESUeYYjVigBG98BD6VKwU4dQzSKdTd4a9CvWpfZ86bW9uh6OJuKRWsJFa4jmLbeBmnvFYcHIRTzjO+9oGHoerVxfntu953CcrynnChTsAwFJ9IFajzB2x9KnZS46Hu/wFSP7AvCJLx7xmRExSsoub1wIk8EfoUwCAA6V1Pll5fFBZOBJFTJLkqCKY6uhllvexMPCfgKr3uWF4WFkJ/ud/oDJ1ww1gxgwQJf89Wr06nJISbfyvSexq0wbekiUkKox0iJsssGAhG7f2X20kHOeVAqNzVuiWgiSaj8NaBhjRCw+hTznMlKNmkUikvLw88e/vqyqH4lTXjuDqFUd+WzbCERoigezy4NzW+f4+68AtkRIbcXLhXGOKp6UbGf9k+kqfrLzQ74toHGt3SwHCLDMRW4rTMmavLM0MVlmeyGw8MiwNSP49o6ebqzxoQcxQsoubB2PEd6kKK+P447Pbfx2RX3OVPuPhcPSR/qd8snLoRJ25ZZJZ9IE7DA29zHI4SAKbMfCfgGoCgVA+9RdfgH/5FygmfeMb4L334hk8HAaNd0413zyl3kXVpg3cb90Le5/GEx3Lvq16QlIFLUhSwSkwUsEIABAkqZBkgBG98BD6FJU8emyQTz6A+tSEvnG55T1NJB49hXVfTPSXz569VFZ2+azNG7JaRy6yRm/1yUrOmLheZmSpDhCrUZYdLU9hZ1w3A+4Ed7V75+y8c3ZtvGPHnLaxmxtCGz2zLG3GqdEzudkw3uA/78XYCbNvkTa3wicreRsv2DdpvTXoZZb3ufDuv6cJv/8+lKVSUqBE9cUXcbq6ZUvTPVPaw336gy1b4hxedBcEBAFBQBAQBFgQQC88hD5FMwfhcLi4uDjx7+9bNBXqU2sXxRUbjiYSDuQUr8prne/vsw4cEz2P7++zDhxn2uhFw+jS7Gf7HvLJyqfZKzDhtWhuqSBYykxkxqL0KYE1u528v0/1JGt55cWeLwDJ//b0dy1985SxBcqWBbKLmyE6Tt/fh5VxQ8ieKrZMaYySIeNvb7/kk5U+medjdOO/2hC4k4DQyywnIyS2DQP/Cagmlgmds+fmwgf6UlLgw32VFLZvy89H6VP5+XS8bg2jtNIJ6UJqBUkqUAVGKhhB48umPfFNnFY8CRqHwYRELzyEPkUz8wwe14ztbjQKBr8E9amDe2I3RrTAERrc2I1IL1549tg2cARYqyru9CnbwHGmjT6tx+cs8smKv+fxuiUzrAg5tVnKAWRSlGUvrP2nVGd2vz4LSP4vh46w9M1TRgRlsoubITo+9akKp29sDLJ7Us8A1mERkV9zlSHjZytDPln5U6py5WrE3DiZLIbAnYSGXmY5GSGxbRj4T0A1sUziPXtDA+jZs0lMevVVUEfnwVhx/1S8ebnev9VNyOuBU/9XkKSCVGCkglG8v48jjOiFh9CnaKUSjuOJ60v5GShOdesE6q7FFRuO0EBdrdArF14+tg0cE73Qp1ZMetcnK8OG74bpjuPH8ou6pdJEZiTQp5bO2wckf7jLX2YtPWnpnneMCPBkFzdDaEKfMgBhXETk11xlzvjLo8/8Q6L6pLjW3DiZLObAY0aHXmbF7J7wBgz8J6CacCzkDtTUgD/9CYpTbdqAKVPi2Q3d4IPYf8oAhLjYuiYkMSYHHQVJB5BiNxEYYzNy1kKQdMYpRisGGNELD6FPxcgQVjWDdMb2Z9tGqE9NHhC7JbqF0KccEBD6FC31sN+Qz32ysj7j7eTTpzKD1eV9uwHJ/+GUVYz1CNzTIS4JZBc3gwNCnzIAYVxE5NdcZc54zspqn6xMz682N04miznwmNGhl1kxuye8AQP/CagmHAuhA19+Ce6/H4pTt98O3nyTcBD7bur7+9q0ad4iXby/z56WbU0rmpC2DOhUCJJUOAqMVDB65U4RWsEkbhwGExK98BD6FM3kR6PRmpqaeN4+RsGbeZOgPvVmXrxDOVBnNG0iGsiuWTY7itNF68v1gW3gmPS5u3/KNnCiOXB50cw/9Tzhk5Uz8+Z7XJ8qTsvIXaE4f3+fKkBsnZQHJP/pAb0Z6xG4p0NMW7KLm8EBHvWpzGAVQcYNgXukiMivucqc8Z37an2y8mL6GXPjZLKYA48ZHXqZFbN7whsw8J+AasKxkDiwZQu4+24oTn3/+6CoiGSEWH2i0Whe3pXGt/g1PT74/e+DdetidRP1LQm0lgnZMmo3SoIkFaoCIxWMAABBkgpJBhjRCw+hT1HJo2cGiUbBgOegPnWoOF6fiIQGrsUmms5j0udOn6LJKpC9LWu1T1b+1v9g07CY9PTNLYUAskf57HpZngJtnLu4NCp1AJJ/4cISdMvE1upJUjk2hMOnPuX1XaUMkBHFOHN69Vrkz70UbzkfXwAAIABJREFUn6ycrmiIc6gk645eZnk/WN799wrhhQvBTTdB0eihh8C5c656FQ6DLVtAfj78fzjs6qnE4IKAICAICAKCAGUC6IWH0Kdo4g6FQoWFhaFQiOagWGOdPQXFqe6PgIZ6rH4WjXH0qVAgp3B1MBTIoStbeH8028AtgKJM3OlTtoHjTBstv1PSt/lkZdbYj7yvTxWlT1m+9pOsYAVCBbCsOjloIJD8n4xfaFnrESNijpJd3Axx8ahPZQUryDJuiN0LRUR+zVWWGe+Xdd4nK29uu2RunzQWy8DR0aGXWei+Xqhl4D8BVS+QcepDOAwGDmy6nem558DVq0474rdLcpL4QMh6CIxk3My9BEkzEwKLwEgAzbKLIGmJBdfIACN64SH0KdyUodozeFwTdXoAwMdvQ31q6tAYzZxU4wgNttsw4QyiqRUcHdgG7oSwrg2P+lTBmnwqimR0aXbnPkd8svL5jCAX+hTZ29zem/YGkPzVvV/NXF7lBanC0gfdlDQekl3cDGfhVJ8iy7ghdi8UjUlFli0zHnzvgk9WRs2pQHblu9IycHRI6GUWuq8Xahn4T0DVC2Qc+XDpEnjkkSZxaswYiruhW549mUlaBuyOUWCkxVWQpEJSYKSCUew/xRFG9MJD6FO0UgnHSfz1ZdbrUJ96J0ghKhxpyVamwRmEI1lKc9U2cMwEtGZ96ujsJT5Z6Zh6rH7JjCTWp3IDZQ1dHwWSf/mcz7wgVVj6gJi2ZBc3w1mEPmUAwriIyK+5yjLjR5R6n6x06n8qFI6auySHxTJwdGjoZRa6rxdqGfhPQNULZGL7cPIk+Ld/g+LUrbeClStjt4+7RdKSjJsM1gACIxYuRGNBEgHHeZXA6JwVuqUgiebjsJYBRvTCQ+hTDjPlqBmDdKL8CIdB785Qnzp2CNXMYR2OtGQr0+AMook+HB3YBu4Q8vVmrVmfWjZxI7wjY0RBc96vYyH41/ILv91OUgT2ovQpxHfTHBo+Bkj+PaOnWzrpBSMCONnFzRCU0KcMQBgXEfk1V1lmPBKJPjG4zCcr+768Zu6SHBbLwNGhoZdZ6L5eqGXgPwFVL5CJ4cPOneA734Hi1He/C3bvjtGYUnVykqQEx/kwAqNzVuiWgiSaj8NagdEhqJjNBMmYiJw0YIARvfAQ+pSTNDltE41Ga2trE/b+vtISKE717gwiNHbLxJGWooHs2rzc1vn+PuvAnU6ZpnbVhw9XHjxYffiwdT+cXDSrPG72opjx1MF7fbLyzpQ3mz23puDIavmFn0CHsutSnJaRk38G9/19qlfrczYDyX+lx1+zlmFvX2UZF3UjAjHZxc3g4dCpxwdnlA6detxg93axijjjXosLkV9zlV3Gxy+u9MnK/DdqzF2Sw2IXOCI69DIL0dEjVQz8J6DqETi2bixfDm6+GYpT//Ef4NQp22a0K5KQJG1ETsYTGJ1QctJGkHRCKWYbgTEmIocNBEmHoNDNGGBELzyEPoVOEF5tNBoNhUIJ06feXg71qVmv4zlt1xpH3YgGskOBnNapT1kHbkeVzI6Ti2aVx81etDL+1cLZf5RP+mSlYv7cZs/JKDX2slQE7MQmAntxWkbj5ugke0hNX1Ze2+NpIPnXzfjY0s+EGxHgyS5uCY+IhgNVxBmncXaabw9E5NdcZZfxzYVXfLLy2utnzV2Sw2IXOCI69DIL0dEjVQz8J6DqETgWbkQiYOTIpg2nnngCXL5s0cY1U1KRdI1SzIEFxpiIHDYQJB2CQjcTGNF8nNcKks5ZIVoywIheeAh9CpEd7CoGt8OhfJoMXxAGtm5AtXFeh6Nu2D7mhjNIszzBTy/bwJ1zdtLSe0BsA8d0dePUN3yy0n1QcYvsO2Fi08ZSESDQoey6xPN8X2awuih9GpD8B0eOt/Qz4UYbqNBMdnFLeETxO5AVrCB+ojP+s9MdAZFfc5Vdxi/VRh5OVXyycqYycW+qNbtLz2IXOOIM6GUWoqNHqhj4T0DVI3CMbtTWgqefbhKnhg0DkYixgcvl5CHpMij08AIjmo/zWkHSOStES4ERAQerSpDEwmXXmAFG9MJD6FN2qSGxM0inrVvXakG3v0B9qoLSn7VxhAZaakULkQLHgUR1tA3cNk9EFd5DYRs4pqujRhT4ZCUw4b0WGSSCpHay/D5vJzYR2OPUp1bM2gUkf123J7Lzzlm6mlgjAjzZxS2x4VA5u9CnzLOif9Z5n6ys/eiiuSoJLARTHb3M8j4TBv4TUPUit9OnwS9/CcWptm3B0qUJ8TBJSCaEne6kAqMORlyHgmRc+K53Fhivk4j3X0EyXoKN/RlgRC88hD5FJY9NgzBIp627RQVQnBr2qm0D3AocoYGWWtFCpMBxIFEdbQPHpF0SDO5bsKAkaPPiRe+hsA0cx9Vri3M7pB7zycqXs5e0yCAmPX1zS0mCQIey6xKnPpW5vPJizxeA5H8r+31LVxNr1JM0HJNd3AzhvNiz8K9ddr3Ys9Bg93JR6FOGmQAAWL35ok9WBmafN1clgYVgqqOXWd5nwsB/Aqqe4/b55+B734Pi1Le+BXbsSJR7yUAyUex05xUYdTDiOhQk48J3vbPAeJ1EvP8KkvESbOzPACN64SH0KSp5bBqEQTpt3Q3OgvpUXo5tA9wKHKGBilrRQqHAOXsCO9oGjkm7db6/b2f2Sp+sPNv3UHRpdoskYtLTN7dUOuzEJgJ7vPpUsPqzsTOA5D88PN3S1cQa9SQNx2QXN0M44v19BiCMi4acoouIjJ8ub/DJyp9SlctXWT/chPaZSi0icLvx0cssu17esTPwn4Cqd/hAT9auBV/7GhSnfvELcOxYAn3jnmQC2elOLTDqYMR1KEjGhe96Z4HxOol4/xUk4yXY2J8BRvTCQ+hTVPLYNAiD7cRs3R3ZBepTn9P7mx6OQkRrt+wWIgWOA4nqaBu4bZ6sK7jTp2wDx8na1NHbfLKSM+ZjY/qsITmyWn7hJ9Ch7LrEsz+66tuyuZ8Dyd/Q9dEZgdOW3ibQiEBMdnEzxMKjPpUZFPujW8yLV8ac8cnKx59dsajj3EQw1dHLLO/zYOA/AVWvcItGwfjxTRtOdegALlxIrGMck0wsuJZnFxhb8iAvCZLk7HQ9BUYdjLgOBcm48F3vzAAjeuEh9KnrqaDxL4PXMVq7WV0BxakuHUEtvffI4AgN0UB2bV5u63x/n3Xg1nmytfKoT1kH7njaRJZmP9XniE9WPp8R5Eufysk/kxkkeX9fk1izvOqrXq8Ayf9u5tsG+SbhRdsJCgDZxc0QEaf6VLwZD9J8B58BKVYRkV9zFTrj89Z/5ZOVCYsrzR15t6ADt4wOvcyy7OIpIwP/Cah6AtG1a+Cll5rEqb59QSjx7wTglaQn0tnshMDYzCK+I0EyPn5NvQVGKhgB6WKV1tmTZhwGExK98BD6FM25xOB2OGt3d7wP9akJfa1ryayOhQYQyLZ9zA1nEKNIwUNf28AxmXOnT9kG7jhrX8wM/EOceqRXacOSHGPqMenpm1t+Xbe7GYrAHv/zfZnB6oJxc4HkLx0yzNLbBBr1JA3HZBc3Qyw86lNi/ynDTFCL+7+85pOVxwaWhcNRywb8GgmmOnqZ5X0UDPwnoJp4buXl4Le/heLUjTeCuXMT70+jB1yS9Ag7nRsCow5GXIeCZFz4rncWGK+TiPdfQTJego39GWBELzyEPkUlj02DMEintbvzJkJ96g2qb5NxLDQIfSoUiFdhaYX61PxxH/hk5fVRnxjFqUC29SR3ZjUIImqRQIey60JFn1oyfx+Q/OEuf5m1VLF0OFFGBGOyi5shEKFPGYAwLiLya65CZzwciT4+qMwnK8VHrpn7cm1BB24ZGnqZZdnFU0YG/hNQTTCi/fvBD38Ixal/+ieweXOCndGdnj+SOue9cygw0sqFIEmFpMBIBSMAQJCkQpIBRvTCQ+hTVPLYNAiDdFq4G4mAvs9AferIfotaYpPQpxwQsL2NCBN7K9SnXh1wwCcrmzPXtkJ9KjNYXdG3K5D8m6auZaxQoE+HmLZkFzfD6YQ+ZQDCuIjIr7kqZsYnLqn0ycrstV+Z+3JtiRm4OTr0Msvc3msWBv4TUE0kpQ0bwB13QHHqvvvA4cOJ9MR0bs5Imvz3iEFgpJUIQZIKSYGRCkahT3GEEb3wEPoUrVTCcUKhUGFhYYjxDgUnj0JxqucTINRAMxgH6oymLIQCOYWrgxa3EeEMoo3G0YFt4JiZ4FGfiifjp+ctgO//6nni8qJZFunGpKdvbvmF3+5mKAJ7UfqU5Ws/yQpWWJ7IuXH7hMVA8p8cNMB5FwYt9SQNx2QXN4PPnOpTVDJuQJGQoiGn6GLMjG/dU+uTlZdHn0GPw11tzMDNEaGXWeb2XrMw8J+AamIoRaMgKwvccAMUp3w+UF2dGDfsz8oNSfsQvFAjMNLKgiBJhaTASAVjwr6J0/LeM+MwmJDohYfQpzwzF4gd2bgK6lM56cQDWHdMdmnJQhahGLI1U1srd/pUnPRWT97gk5WBQz+zHseWU+wKy6/9BDoUoovlKXCNCxeWAMkfkTrMWXwMt6977WPzxWxhcJVHfcoQAtdFzOzFaH7lauTPvRSfrCjnqf5pJMZpvViNXmZ50eOWPvHuf8to4ijV14OuXaEylZICDxpa+8SOA6XoKggIAoKAICAI2BJALzyEPmULjqAiGo3W1NREo2z3i506FOpTH75B4DCqC45YEw1k1yyb3Trf32cdOIqsRR13+lScGe87ZI9PVtZlvM2dPlWclpG7Qonr/X3X3+Z2tn8qkPwfZeR7R/KwmJrXTWQXN0NofOpTVbQybqDBvng9mY7+dZLxQTnlPllZ+cFFRyNy0shJ4IZQ0MssQ2MPFhn4T0CVNaiqKvCHP0Bl6oYbwPTpgPFCznG0HJB0HEsCGwqMtOALklRICoxUMKrv70vAN3Fa3ntmHAYTEr3wEPoUzbmQgOeHr14B3f4C9alzZTQjAcBaOLARrWy3YbJpjzW4lxvbBo6ZjLxf/nJOu3Z5v/yldT/vYbQN3IGrFxbOflg+6ZOVc/PmWyfXmoIjq+V3fsTNULhVVPZHV538ePJyIPlPD+ht6XNCjAjEZBc3QxT3/GjxnXfNuudHiw12LxfF+/sQs2L9lks+Wekz7TyiDXdVBFMdvczyPgEG/hNQZcrt0CHwk59AcerrXwcbNjA9NebJvE4SM5xENRcYaZEXJKmQFBipYBT7T3GEEb3wEPoUrVTCcRJwffl8BxSnRvydZhjqWA6EBk1ciEet0Abh8cA2cLr5wMkFG4y2gTtw9d2pb/hkpcvAfbauxkHPUunAFaEQ7SnqU3MXl0alDkDyz1942NJt9kYEeLKLG/sQqJ9R6FOIWVFeHfLJyh97KlUXwohmfFURTHX0Msv74TPwn4AqO24ffgjuvBOKU/feCw4cYHdeojN5miRRRAnpJDDSwi5IUiEpMFLBmJhv4rRc99I4DCYkeuEh9Cma04FBOo3uLpoG9akVc432+MsOhAZNX4hHrdAG4fHANvD4+etHwMkFG4y2gTtwdciwQp+sLJu40dZVfeyYx5byBEJvwq2iqE9lBqtPDewPJP+2iUst3WZvRMAmu7ixD4H6GYU+hZgVAIDUKed8svLG1kvoZhzVEkx19DLL+7Ez8J+AKiNus2eDG2+E4tTvfgfKyxmdNI7TeJdkHEGx7yow0mIuSFIhKTBSwSj0KY4wohceQp+ilUo4TjgcLi4uDodZ/SU5EgH9noX6VMlemmGoYzkQGjR9IRzIKV6VFw7kaJZWcmAbON184OSCDXnbwGO5enHRrD/1POGTlVNzF9q6Ggc9S3kCV4RCtC9KnxJYszsrWGl5IlzjB1NWA8l/vm933I4utUeAJ7u4ueQny2GzgpUUM87Sc/O5EPk1VznM+KoPL/pkpX9W8jzi5zBwPTH0Mkvf0pvHDPwnoOo6q1AI9O4NlamUFPDyy6CuzvUz0jiBF0nSiIvxGAIjLeCCJBWSAiMVjAn4Jk7Lb4+Nw2BCohceQp/y2IzAcuf4YShOpT4JQi68ZSaW0GArLoiOgWysNMZunERIN8Z8uC8+eubv5JnBaoTeRFBleQoy46wlJ8Jd4P5xi+cfIBuBbq/YUxGzBV33xGhxEsDMnqPm56rgI34P91SqL7L6w4wjv5g2Qi+zmLpCdDLe/ScJ+sIF4Pc3iVMTJ3p2N3SS0EQfQUAQEAQEAUHA2wTQCw+hT9HMXiQSKS8vj0QiNAdFjPVmHtSnZo9DNCGvwtFEIoHs8uDcCE6X5JC3bAPH5L6pW7e3nn56U7du1v28B9Y28Fiuxn64z9v6VHFaxuyVpVTe36dqDceHDAGSf+f4BXFKD1S6W0+/RivZxc3g1W/++Pa/P7TmN39822D3drGKbsYTGCwiv+Yq5xnvMRk+4vfWtiR5xM954Bo09DJLa+bZAwb+E1B1EdexY+DnP4fi1G23gXXrXDyRC0N7i6QLAbIZUmCkxVmQpEJSYKSCEQAgSFIhyQAjeuEh9CkqeWwahPXzw6/3gvrUjk00Y9DGiiU06AWmeHYj0o/D3bFt4BpGZwdz2rWbmpIyp1076+Y4uWDD0DZwpKuOHu7ztj5Fd/+pzGD1xmlvAMlf1fu1zOVVCVQu1FNbT79GK9nFzRDRnXfNSkmZeuddswx2LxfF/lOIWaFWrdgEH/EbmJ0kj/gRTHX0MismwIQ3YOA/AVW3sGzfDr75TShOtWsH9uxx6yyujeshkq7FyGBggZEWZEGSCkmBkQpGsf8URxjRCw+hT9FKJRyH6fWlpgqKU5IfXPiKZgzaWEihwSCCkKkVhkF4LNoGrmF0dtBK9Cn14T5p4P4YuXYGzbKVpdJB8BCfXRfq+lRuoCzU9REg+QNz91o6z9JoiVQ1kl3cDM4LfcoAhHERkV9zlfOMn65ogI/4pSo1l5LhET/ngWvQ0MssrZlnDxj4T0DVFVxLloC2baE49atfgTNnXDmFy4N6haTLYbo9vMBIi7AgSYWkwEgFI+tv4rSc9t44DCYkeuEh9Cmak4JBOpvd3f4eFKfG9W620D0S+pQDAkKfiqE0tWQ4dNhun6zkTXgvRq84ZrLlF347sYnATl2fygxWHx02Ckj+3a8n/q4iBHiyi5shHUKfMgBhXETk11yFlfGuE8/6ZOWdHZfN43BnwQpcjQ69zPI+AQb+E1ClzC0SAUOGNG049de/gtpayuOzGi7xJFlF6up5BEZaeAVJKiQFRioYhT7FEUb0wkPoU7RSCccJh8MlJSWM3t83cyzUp95eTjMA/VgtlQW0oBAO5JSsXNo6399nHbiepINj7u6fIsi49nCfgnhznzrrHBCza2L5hZ9Ah7LrUpQ+ZfHqPbTe36d6+/b0d4Hkv5D6UsIf8bOjSnxxM6SDT32qknrGDViYFRH5NVdhfZwF37vgk5XBM8rN43BnwQpcjQ69zPI+AQb+E1Clye3yZfD4403iVFoaYLZJKM0YmsZKMEkXIkrIkAIjLeyCJBWSAiMVjMSLVVpnT5pxGExI9MJD6FN8zqWGetDzcahPnTjqVgA4+hRavWqNtZhZ4U6fIsjpxqnrfbIS++E+b+8/tS8tg7qakJN3tr7bY0Dy58/+lPrgWANiTtvYzQ1n51GfMoTAdTF2wkhbnDrf9IjfhcvJ8IgfLgb0Mgt3NPbtefc/BrFTp8ADD0Bx6pZbQDAYo7GoFgQEAUFAEBAEBAGXCaAXHkKfook/EomUlZWxeH/fwT1QnBrwnIt/BsTRpyKB7LL8Ba3z/X3WgWNOK+70KYKMDx3u7OE+b+tTxWkZ81YeygxW0tUpSkbA2yH3jJ5Od1jc0RDTluziZnCAT32q0o2MG8iwKSLya67Czbg0Hj7it3EX94/44QYOAEAvs8xsvWZh4D8BVTqUdu8G3/0uFKe+8x2waxedMRM6SsJIJjRq6icXGGkhFSSpkBQYqWBU39/H6Js4LY89OQ6DCYleeAh9iua8YPf8cP5sqE8tyaLpvWEsHH3KdhsmnEEIbslJeBfbwA0wYxW506dsA7fJOMbDfd7Wp9zYfyozWL0+50Mg+S/Lz2Ytp6x8YQkfiHlKdnEznJ1HfUq8vw8xK/RVeRvhI35DZ3L/iB/BVEcvs/SUvHnMwH8CqhRYrVgBbr0VilP/9m/g5EkKA3pgiMSQ9EDgdF0QGGnxFCSpkBQYqWAU+09xhBG98BD6FK1UwnEYXV+iUTDsVahP7fmEpveGsWyEBktJCFetsByER6Nt4AaYsYpJr09hPNzXKvWp6cvKr3V/Ekj+1TO3GzQdlkXEPCW7uBmcF/qUAQjjIiK/5ircjCvn4CN+f+6lXKqNmEfjyIIbuLh/yklyCag6Gda2TTQK0tObNpx65BFw6ZJtS94qWJPkjY9DfwVGh6BiNhMkYyJy0kBgdELJSRtB0gmlmG0YYBT6VMwsUGvAIJ3Q17LjUJzq/gi4dpWa6+aBhD7lgIDQpxyqioOGfebozX0qc/NsdGyx/MJvt9k5gd2l+6cyg9X7R00Ckt+N/a0smVgaEZjJLm6Gswh9ygCEcRGRX3MVQcalccnwFj+CwNHLLDNbr1kY+E9AlZzS1avgmWeaxKlBg0A4qfZEY0qSPAde7ykw0sqQIEmFpMBIBSO7O0VouevVcRhMSPTCQ9w/RXNqRCKR0tJS1/efemsZ1KdyR9N03TyWA3VG0yYigezSFYta5/5T1oGbeSItWwYNel+StgwaZN0KJxdaUlw9wMp45YK5f5RP+mTlzLz5jryypuDIavmFn0CHsutSnJ6xcNV+6vtPZQarV+duA5L/avfO05eVW0bBwIhATHZxM/j8h07vPfSHt/7Q6T2D3dvFSpcyzj5qRH7NVQQZz9900Scr/bLOm0fjyEIQOHqZ5f3YGfhPQJWQ29mz4L/+C4pTbduCRYsIB/FwN3YkPQwhftcExvgZqiMIklRICoxUMKr7T7H4Jk7LXa+Ow2BCohceQp/y6tRA+DW6B9SnPvkA0YRClfc0EUfShkfcppAA3RAeCYrUjVWTNvhkpfeQvU4zqAsd99DyO7+d2ERmtzxF/Mas5ZVX5GeA5F+fszn+0chGwKUdsz2ZG6KXSwRi5ivOBuXVIZ+s+GTlfHUozqH46o5eZnk/Ft79bya8dy+45x4oTt19N9i6tdkujgQBQUAQEAQEAUHAMwTQCw+hT9FMFAO5EZw/A8Wprh3BZZf3U8ARI7DupnEqUuA4kKgxbQOnOa1AoqJDnNc2cKusdR24zycrb015EzFgi6o46Fl+sSfToSx7uXf/VGaweu/oTCD5vxg5zjIKBkYEeLKLGwOf3T+FuH8KMS+MVf2yzvtkJX/TRWMFP2WCqY5eZnk/dAb+E1DF5vbGG+C226A49bOfgdJS7O6cdGBBkhMU8bgpMMZDT99XkNTTID4WGInRGToKkgYgZEUGGNELD6FPkSXOuheDxzXBe6uhPjVtmLUHFK1WQkMLEUHXwHYbJl0bu75c220Dp5gI4EV9yjZwU8aPz1kEd03ueeLCwtlOcx0HPUu1wlJpIjO6t/9UZrA6f3YBkPz13R6bEThjGYjbRgR4soub2w4zGF+8vw8xK8xV7+y47JMVadxZcxUvFoKpjl5meT9wBv4TUMXgFo2CyZNBmzZQnGrfHtTUYPTlram7JHmjQeyvwEiMztBRkDQAISsKjGTczL0ESTMTAgsDjOiFh9CnCLJm24VBOsGEvlCf+vgdWydoVZiEBoS44FytQAzCY5Vt4LSyoI6Dkws2GG0DN7k6b9yHPlkZNaIAw7E46FkKFmRSlGUvV/WpzOVVX/X6G5D8701bbxmI20YEeLKLm9sOMxhf6FOIWWGuulQbad8bPuJXWlZvruXCQjDV0css70fNwH8Cqk651dWBV16BylRKCkhNBaEkf7bURZJOiSdDO4GRVhYFSSokBUYqGMX+6BxhRC88hD5FK5VwHNevL9UVUJzq0gHUVNH023Isk9CA0BecqxWIQXissg3cEqm9cdH99+d8/euL7r/fuglOLthgtA28pavhpdlP9znsk5WtWasxHLOm4MhqKVhYKk1kRnf1qWD1jgmLgOQvG9jXMhC3jQjEZBc3g8Pf/j/zb7k1+9v/Z77B7uWi0KcQs8KyavT8Cp+szFrzlWWt940EUx29zPJ+yAz8J6DqiFtFBfjv/4bK1I03gpkzHXXhvJFbJDnHguu+wIhLzK69IGlHBssuMGLhQjQWJBFwnFcxwIheeAh9ynmyYreMRCJlZWUuvr/v/bVQn8qwectbbAdxWrQUGtDiQiSQXZa/oHW+v886cBzSAIA57dpNTUmZ066ddT+cXKAzRavWYcY/zV7hk5XHex+tXzID49TWFBxZLZUOMinKsldxWsa8lYfceH+f6vm8RUejUgcg+RcuKLGMxVUjAjHZxc3g7Z13zUpJmXrnXbMMdm8XK13NOMvYEfk1V5FlHACwa/9Vn6w8ObisIRQ1D+t9C0Hg6GWW90Nm4D8B1djcDh4EP/oRFKfuvBNs2hS7fVK0cIVkUpDBCkJgxMKFaCxIIuA4rxIYnbNCtxQk0Xwc1jLAiF54CH3KYaa80WxcL0YP93lyzyMMgSPhgg7mfOFOn3KYi9Ejd/lkJXfsRw7bNzXDpKdvbvlt31JpIjZanoKi8cTgQUDyF4ybQ3FMh0PpSVI5NpyXT32q2hAFv0UqOY05SDgc7Ty0zCcr24tqYzZOjgboZZb3Y+TS//feA9/4BhSnfvxjUFLifcjCQ0FAEBAEBAFBQBBQCaAXHkKfojlPwuFwSUlJOBymOag2lvbmvotM9v7EkXjCgZySlUvDgRw8GQLnFN4c2TZwLWvODrjTp2wD1+X0wsLZf+55Au5EM3sxXvqcQbNsZakdEEtR5o5F6VMWr96TFay0PBEV44asd4Dkv9jzhazlLp7F0lVLpKqR7OJmOAuP+lRWsNJlEXIvAAAgAElEQVTtjBsouVdE5NdcRZZxdZx567/yycqI2RXmYb1vIQgcvczyfsgM/CegasstGgU5OeCGG6A49fvfgyr3tzuwdSUBFTRJJsB9r5xSYKSVCUGSCkmBkQpGAIAgSYUkA4zohYfQp6jksWkQdx/X3LAC3jyVNZymx4ixdEJDTHHB4W5EMcfhroFt4AiwVlXc6VO2geumzdrJ7/hkpdugYuy0WiFyaLP8bm+WmYgtbu8/lRmszs47d637k0Dyr8ndahmOe0YEZLKLm8FVPvWpiuDa7VnBCkMsPBYR+TVXkWVcHUc51+CTlYdTleoL7vy1xuwuPQtB4OhlFj3X3BqJgf8EVK2jbWgAPXpAZSolBfz976Ce1234raNzYKVG0sG5kriJwEgruYIkFZICIxWMLHaCpuWot8dhMCHRCw+hT9GcIO6mM7071Kd2vE/TY8RYOqEhpr7gRK2IOQiPDWwDR4C1qko+fSq6NFsauN8nK29kvIWdWStEDm2WqgGxGmXuyECfygxWF6VPBZL/0IixluG4Z0RAJru4GVwV+pQBCOMiIr/mKrKMa+OkTjnnk5X8TRc1Cy8HBIGjl1neD5yB/wRULbh99RV4+GGoTLVpA6ZOBVEuNziziAvHRIckzhmTsq3ASCutgiQVkgIjFYxCn+III3rhIfQpWqmE47h4fTl9AopT3TqBK5doeowYS+hTDggIfcpOezowM88nKx1Sj11aNMuuja0dMS1jVVl+4TfLTMQWNvrU8jmFQPKHuj4yc+kpy4hcMiLokl3cDH4KfcoAhHERkV9zFVnGtXE27rzsk5UX0s5EIpyJCASBo5dZGhPPHjDwn4CqEdfRo+CnP4Xi1O23g7feMta2mjIFkq2GFSJQgREBB6tKkMTCZddYYLQjg2sXJHGJWbZngBG98BD6lGVeCI2RSKS8vNyV9/etng/1qZljCT0j6OZAndH0hUgguzw4t3W+v886cEzg3N0/FTPjE9J2+GQlI327NkkwDjDp6ZtbfuEnVqPMHYvTMmavLM0MVlmeiJpxeVVlH+n/t3cmcFVU7R8fYhfDwvTVUNTKLS3LytTPa77kq+Be2utbmfEWZl43TP+5ZIIbCBqIGm4oiIrigmaauVCugGIKqbHJ4hURBS6bG3CX8/c6Oo1zZ4Y7c8+dO/fy8OmT55w585zn+T5nhnN/zD2D/H2OLduJzWZ8w/t800kyyuJubgznrVGfCo8vlyLjRmSHAVNElZFT/qq4jFM279dqh8247q1Qpv11n2q0ioKIwPmXWfKPWgL/RVB9ittvv6Hnn9eLU23booyMpw41soqpJBsZLq5wASMXGaHtQFIoMdb+gJEVi4hGICkCmuEpEmDkX3iAPmWYFPm1aDRoxsd6fepisnTOCdGnBEgPjcSswDxZnT7Fn/GqjWsGTSrwVigzo+L4e7IfFUiP3p31Q7uhzGRKC+sQ2BuPL92C/H1ufjMJu2Ueg3SSWMqMsaxTn2pY12OEKdsqlpwab2TVTpW3Qjl/nVXukm58mAgh/mWWIFMW6Sx3/9evRw4OenGqd29UUmIRRDAoEAACQAAIAAEggIsA/8ID9ClcnPV2NBpNRkYG/vf3XT6vF6cC/oPU9Tjd5bclREjSxK3M2Lmlcb6/jz1wfrYGR61On+LPeMLSg+TO6LrNkewKFP/sMuBjfAOrNGCKGsU4Nz1wWdzuc2Z9fx8ZwprYAs34IcjfJ259OmtQ5mjk4Szu5sZw0hr1qYj4MmkyzmBljipPfg0Pics43U5BcR25S3pppZreLvOyiMD5l1kyj1cafU0EVT03jQZNn65XpggCffopevBA/jDN7aFIkuZ2y9rsA0ZcGQOSWEgCRiwYzfhJHJd/VmJHggnJv3ACfQrnTDHX1zXXh+j1qfgonL42aItfQXj6KOc2TE93EyNVyNsCZ+AN4n26Q96BA9m7duUdOPB085Oa/CBwBh4Xqd0cOXb6X94K5cHl+0Rm/EncIv5l/VTP0JhMqUqz/xQZRfbcQOTvkxG4jDUoczTyABd3c2M46T8z/fNpf/jPlE5xYzggohoRD+/v45kXDRwKCL/lrVDGHqhsoJ+cDouY6vzLLDkFx+6LBP6LoIqqq9GQIY/FqcWLG+du6IYJE0PS0EqjbwGMuKYAkMRCEjBiwWjenaBxuWgNdiSYkPwLD9CncE4Ts6Tz3l00cbhenyrMwelrg7aEaCI8aoVIhULI6BYcgjPwBvEK6iA/GpyBx0WmRCZ4K5TDply9H7NaZGoEwXm6M6sAYYogxThXSn1q14+nkL9P3YQRq+OKWOPC3vg0y6dq4m5u2D2U3iDoU0/NA4GV387f9VYoR80uqqu3ml3SRUx1/mWWQGYW6C6B/4KpFhai7t314pSrK9q1ywJQ5DqkYJJyDcSyfgFGXPyBJBaSgBELRtCnrAgj/8ID9ClcqdTbMcv95fef9eLU/K+k/uOhEE2ER60QqVAIGd2CQ3AGjnNaIQsGyDU0Z+BxkTNmn/dWKNctOsZ1bsPtJtBj1S8YGpMpVSn1qfBt5eVTv0D+PklhCaxxYW/kAS/u5obdQ+kNgj7FMysaPKTW6P4z94a3Qnk49U6DnWXSQcRU519mySQuHjck8F8Y1TNnUIsWenGqdWt0/jyP543wkDCSjRCQcSEDRuM4NdwLSDbMyIgegNEISEZ1AZJGYWqokwQY+RceoE81lCIhx3U6XWVlpU6H7w/FD00FTdTrU8f2CXEER18hCpEuLrJy6xqdkFMaFimswRpn4Dgy8LcN+aHgCjxvTYx+xxlF4e0N68Wn+O/IBZdY9QtTBCnGuRnzw1bvUJr9/X1P3ub2W+h25O9TNs0/fJuZ3xj4aEQe3OJubqzpsLbGcikzblY4PPk1PCQu44Z24g9XeSuU44Nv4vzNaDgMvhYRgfMvs/C5Zi5LEvgvgOqWLcjJSS9OvfkmKioyV8xWa1cASauNUQLHASMuyEASC0nAiAUjQghIYiEpAUb+hQfoU1jyaDYj+Vl6cWricHS3xmxjcBiWnyYiXu+QPhYOqFzNJX/8UZySUvLHH+wdpPdf7Iihgae8FcpF3yeblCx2Cka1sn68Z2hMJlZZhzBT4+q4ovqvRiB/n10/njLTEHSzRiEW0oluPDxeNX1JztQFWdOX5DDaoSoNASGpw9a3+q5mcMB1b4UyPcdmN7fmX2ZhQ2k2Q3LxX6tFc+c+3nBq1Ch0967ZIgbDQAAIAAEgAASAgMUI8C88QJ/CmRi1Wp2WlqZW43tXUUy4Xp/auBynl0baEqJQqONWpu2KV8etNEmVEDKiTAbiDNxIyE+6Wd37+1gDV0WvHTSpwFuhzPwxzqQEPcEi4l/Wz/kmClL009MDl23bcyYivpR1IHM0pgcuR/4+ebPnmsM4wyYPcHE3N4Z963x/X6nEGWdAw1jlya/hIXEZN7SDEFqxXeWtUH63ppT1qNwaRQTOv8wyU4BqtXrevHnt27d3cXHp0KHDwoULtVotY6wJEyYQBLFixQpGO6Nqbv81GpSUpFm8OC8pifv9xnfvolGjHotT332HDGJh+NxoqyLmZ6NlxRM4YOSBI+gQkBSEi6szYOQiI7QdSAolxtpfAoz8Cw/Qp1jzIrIR89c1791BCv2jE+jqXyIdMuU0IWoRz25EJukUQnywyECcgQskb436VOru7QxFct2iY94K5ZRvL5qaC4H06N1ZP8zTBSYTy5LuP/XoO3cxGy4jfx+dv++m6Cus0WFspJNklMXd3Bi+Wak+Fb/nlJSKJAMaxiojp/xVcRlntam8Vf/+JKW3QllQXMfaQVaNIgLnX2aZKbolS5Y0b9784MGDhYWFu3fvbtq0aWRkJH2sffv29ejR48UXX7SsPpWYiNq0eaw7EYS+nJhId/NR+cYN1LOnvpOTE9qyxeAwNPxNQMT8/PtkKD0hABifkDD1XyBpKsFH5wNGLBjNtRM0Luesx44EE5J/4QT6FM7JgjmdR/fqxanAr6XeGZ1EIkQb4pRphBgxVdSwxFicgQucVjagT1VvihoyOc9boUyN3GFqKgXSo3dn/TBvoiZFP116fSo8XpU3aw7y90kP/IE1OoyNdJKMsribG8M30KcYQCSuMnLKXxWXcS6bQRtKvRXK4Jgyrg7yaRcROP8yy0yhDR069Msvv6SMjxo16rPPPqOqN27c8PT0vHLlSrt27SyoTyUmIju7v8UpgtBX7eyelqjOn9fvg04Q+j3Rz5yhQoACKwER85PVTiNvBIy4JgCQxEISMGLBCPqUFWHkXziBPoUrlXo7OO8vWg2a7afXp078gtNF420JkXs4ZRohRkwVNSwxFmfgxnN+1NMG9KnNwYf1uyDP/FO3OdLUVAqkR+/O+oGfLjCZWLaIPrVr9Snk71P/1YiozUrWAHE10kkyyuJubgzHQJ9iAJG4ysgpf1Vcxrls5l6v0785YZKyuAzf99+5BjOtXUTg/Mss09zhPHvp0qXt2rXLyclBCGVkZLRs2XL79u1kb61W6+3tTT5OZUF9SqN56skpgngsVNnZobZtkUbzyNndu5Grq/5At26osJAzWjjwhICI+fnkVPj3bwKA8W8WppWApGn8Hp8NGLFgxPxJHJdPVmhHggnJv3ACfQrnrNHpdPfu3cPzlqILZ/Ti1LSPUK2F9pQVIvfo4iLvbVndON/fxx64wGlldfoUI+P3Yn4cMeWqt0J5PGK3qeJU3FNfUREIErF+4DdRk6KfnjE/bOX2Ysne3/c4nG3ltwMmIH+f5CXRrAHiauShLe7mxnDMGvWp8PhyC2T8yQscGQBNrPLk1/CQuIwb2qFaZv9421uhF1ipFnkWRATOv8wyU5g6nW7OnDl2dnYODg52dnYhISHUQCEhIQMHDiSXIlz6VG1tbfWTn6KiIoIgVCrVwz2t1Go1uY+VVqslq1SLRqPhaSGHozqo1erff9dRmpRhIemYWrNwISlZaQcPVj8andyeij60YQsu93SPfugOG7aQb4Oi+hg6Y9hibvfq6+tramrq6+vJrU51Op2s3KOckbl79fX19+7d459p0ifXWujRk0tOSLKFn6e5Lw1rpEf6rNFodDrdnTt3yOtarVbD3KOyKfS2TE5InU5Hn40w9yieRv5S02g01C8aM9FTqVQEQVRXV1NLF3oB9Ck6DVPL5EIBjz4VOlOvTyXGmuqT6PMF6lPquJWNU59iD1wgdmvUp+iBx4cc8lYox31zRWP6w1Oy16cebUVUbqJSIPT0gxEHkL/P/a9Hr4orFnqu8f15pq24mxtjaCvVpyyScQY6LFWe/BoeEpdxQztUy6WrD7wVyoFTlCXlsn6ESkTgFtGnduzY0aZNmx07dly6dGnLli0eHh6bN29GCP3xxx//+Mc/iouLSfJc+lRQUBDx9E9SUlLqo5+8vDyEUF5eHllNTU0tKipCCGVmZlItt2/fJp/boloqKysRQmlpaVRLbGytoSxFtjgTDy69NpwUpx4oFKlnzpBnZWRkIIRu375NGcnMzEQIFRUVUS243Lt37x75J2LKslqtvnfvHlVNS0tDCFVWVlItMnEvJSUlNTVVtu6RuOTvnlqtrqiokFtyrYUe/dJISUmRyaVhjfRSU1MzMjJ0Ot3Nmzep2Qj3PQqFiNvylStXdDod/NZITU0VQY+ce9evXyd/0aSmpprpd25SUhLoU9QK2bwFbI/DFebqxakJQ1BluXk95rEuRJ/i/JqbECMYnruRfDjOwHnAsh2yOn2KHnjNpqjhjx6eOvJDIp4ksiEyso31Yzz9ASgTyxb5fl94vCpiW1nFFP0Xfk8s3cIaI5ZGHsjibm4Mr6xRn4qIL4X90XkmhqBDMyNveSuUy7ZY7veaEe6KmOoW0afatGnz448/UgEtXry4c+fO+rclrlhhZ2dn/+SHIIhnnnmmXbt2VE+yYMHnp/5BlKQS7yKC0Dk4oPXrSUGQeo4AIUT/uzc8R0D93Zt8jqC2tjYlJaW2tpb+DAvQI7/Xw2BFVdVqNeMpjNra2tTUVOpxFdYnVmDuUQAZ9Ohzj5qQcOWSuAxZGbYYPsOiVqup65p1NprpGRbDS4OeXDIiwwvBsEU+7pETknzsl5rA8nHPWpJbV1dHTUgz0YPnpxirMjNWRaxr2b1Zs1ivT20IZT8qTasQrYeuVuBRKISMbsEROQMXmCOr1qc2Lj7qrVB+MeMynoen5P38lKX0qfB41eHlicjf547iv5FbShi6D64qz7QVd3NjOAb6FAOIxFWe/BoeEpdxQzv0lsyCWnIXKuWtenq7rMoiAreIPuXh4bFmzRoKXUhISMeOHRFC5eXll2k/L7744uzZs7Ozs6mehgUz+U/uP8XYH/014k8l0VYvTj3/PPrtN0NnoIWfgIj5yW+wcR4FjLjyDiSxkASMWDDC/lNWhJF/4QHf78OVSr0dPPeXG4V6ccrfB92w6F6hQhQiTplGiBELykyih+YMXOC0sl59ShW9dvDk/IefOU+v2CkaI/NEgfTo3Vk/8Jv4zBT9dAvqUyu23q6e9Cny9/ktdDtrmKY30kkyyuJubgyXQJ9iAJG4ysgpf1VcxvltPvwtOW+t/kV+C6Pl+yI/EYHzL7MaZCKug5+fn6en58GDBwsLC/fu3fvCCy/MmjXL0BTX9/voPc3nP/n+PkqiGkb8fIdwQwRR82InlJtL9wHKRhIQMT+NtNyougFGXOkGklhIAkYsGLF9EsfljdXakWBC8i88QJ/COXfwpHNDqF6cilqE0zMRtoRIS5wyjRAjTJHCGs7lDFwgcOvVpyIXHPdWKCf+XzqG1/ZRGRdIj96d9QM/XWAysWxBfSo8XnV02S7k73NXMWblFrPsQkUnySiLu7kx0gH6FAOIxFVGTvmr4jLOb1O/q1FR3fuTlN4KZVZhbYOdLdJBROD8yywzRVFTUxMQEODl5eXi4vLSSy/Nmzevrq7OcCzL6lMIocRE8i1+upnEci1hhwji9msDUEWFoavQYgwBEfPTGLONrQ9gxJVxIImFJGDEghH0KSvCyL9wAn0KVyr1dkTsq8oc/tYNNH6wXp9SXmUekrhOiQVGFHRxkfTdsq1RaRLnM2fgApNVV1NTW11dV1PDfp4RKRDnv+izyMDz1sYMUFzzVigvrtom2hTLiewUjGpl/cBvoiZFPz1jfpgFd8tesfV25eRxyN/nVHAMa6QmNvIgFndzY/gTvPFWcHRJ8MZbjHZ5V8stmHG8ZHjya3hIXMYN7Ri2LN1c7q1QTl5WguddIoYDmNYiInD+ZZZp7khxtrn919yvKx78xeNX9X09EdXL99udUuA2bQwR89O0AW3zbMCIK69AEgtJwIgFI55P4rhcsWY7EkxI/oUH6FM4p4+I91Izhycfnlo5n9kufV2IJqKLi7y3ZXXjfH8fe+B48yUkFyxyjxlO18VF3o1bPXP2eW+FMnBeCuZBTaDH+nmeLjCZWM6YH7Zye3F4vNTv76Pi+iV8P/L3efD1hz9uVlKNuAo84MXd3HA5ZlE75ZbNOMbYefJreEhcxg3tGLaUVqoHB1z3ViiT0u4aHrV4i4jA+ZdZFo+oQQfM7n9Nje6113TPPKOLjEQ6XYP+QAceAiLmJ4+1RnsIMOJKPZDEQhIwYsFI6lP37t2T51+/cMUogR0JJiT/wgP0KZxZNvX5TOXVxztPXZPBvgxCRA3Or7kJMYJZ45BkaM7AcU4rJEMy6riVm9Yc9lYoB00qKF6/AbOHJtBj/TBvoiZFP92y3+8jX+RXNm088vc5v2AVa7CmNPKAF3dzM8UZmZwL7+/jmRWiD205VOWtUI6Ze+N+rVa0ETOdKGKq8y+zzOQnRrMS+K/Oy8tcsYJ8MxRGzxuhKRHzsxFSajBkwNggIiM7AEkjQfF3A4z8fIw/CiSNZ8XTUwKM/AsP0Kd4siP4kKnpDJ+r16cs+9o+Kmgh+g6nTCPECGaNQ5KhOQOnMGIpSBKLIP41MT9++E2Ot0IZvfiooBON6mwCNFZRgy4wmVi2uD4VHq/auzIJ+ftoxg/ZFH2FNV7RjTzgxd3cRHsinxNBn+KZFaIP1dZpP553w1uhXL9XdvsQiZjq/Mss0ZQkO1EC/0VQlSx86xoISGLJF2DEghG2+wGMuAjgsgOXNhaSEmDkX3iAPoUlj4+NmJTOKxf04tSEoai0BKdPom0J0UQ4ZRohRoxSLmRmkDNwgdjPh4efCQo6Hx7Ofp7MokZxkasW/uatUH4ckHU/ZjX+xLFTMKqVVdcwUZOiny4HfSo8XlUwaxby98mbNYc1XtGNPIjF3dwYnowYe3LQqGMjxp5ktMu5CvoUz6ww5dCZP+89fO/ngMnK3Ossu3qbYtnEc0VMdf5llon+SHC6BP6LoCpB4NY4BJDEkjXAiAUj6FOAERcBXHbg0sZCUgKM/AsP0Kew5PGxEbVanZaWJuYJdrUazf9Kr0/tWIvTIVNsCdFE1HEr03bFq+NW4pcqhLgh/eicgQskb13v78uMiiO3RU9ZucMszAXSo3dnVTroApOJ5fTAZdv2nHm0YbaKdSxpGmM2XNKMH4L8fRJX/YZxRDpJRlnczY3hm5W+v08OGWeQFFdl5JS/Ki7j/DYZRxdEl3krlF8vLdFoZLQnkYjA+ZdZjKhlWJXAfxFUZQhKDi4BSSxZAIxYMJL6lMgPPrg8sAk7MCFxpRFIYiEpAUb+hQfoU1jyaLKRX/WvjUcBY9Adjje4mTyCYAPyFobMIotgDFkgbivSp+piV30545K3Qhk8/7S5siCQHr076+d2EzUpxumsQ0jf+MeCSOTvUzX5s5VbinGNTieJpcxwzBr1KUYIVl3FklOMRlRVmuEz9Bulbz9SjdGs9Kb4l1nS+yN0RGv3X2i80B8IAAEgAASAABCwIAH+hQfoUzhTo9PpKisrBb81QFWKFCP0+tSZIzi9MdGWELFGFxdZuXVN43x/H3vgAuFbkT7146Nv9n04LedazEZzZVwgPXp3VvmAITCZUs2YH7Z6h9KC7++jAlwVd6N60qfI3+ePBZFUo4kFOklGWdzNjeGPdepT5TLJOAOmiCojp/xVcRnnt2l49FDKHW+FcuAUZY5SLt/yExE4/zLLMGq5tUjgvwiqcqMkE3+AJJZEAEYsGMnXpYn54INreFuxAxMSVyaBJBaSEmDkX3iAPoUlj4+NiPm6pk6HVgXqxaml3yCtnN5kJESf4tyGSYgRcz2MY04fOAMXOK2sRZ86t3K7t0L58PNkcmRC6u7t5vpGp0B69O6sH9pNEaQY58pk/ykyzMRVvyF/H62/b/zac6yBC22kk2SUxdzcEGI4YI36FOw/xZgJeKs6nS5wfam3Qvn5gmKZvMtPxFTnX2bhJWYOaxL4L4KqOSK1AZtAEksSASMWjLD/FGDERQCXHbi0sZCUACP/wgP0KSx5fGxETDpPH9GLUxOGoqICnK6YbkuIrMMp0wgxAvrUWk9P9rzJA2NZ9LpR0/Tv7Fu54HfzZpydglGtDEGErDI0JlOqstKnwuNVf323GPn7qKb+b1Uchm/58SAWc3MDfSrekpuUGV4LPPk1PCQu44Z2GmypuqP5aI7+XX5hW8oFP33coHXhHUQEzr/MEu6C1GdI4L8IqlJTsJLxgCSWRAFGLBhBnwKMuAjgsgOXNhaSEmDkX3iAPoUlj4+NCE5n+S00+UO9PnVoJ04/sNgSoomYV60Q4onEIhdn4AJTIP/np+piV03+Nt1bofxyxqXa2FWcgWNJlkB69O6Gn8nD41WmCFKMc+WmT0VtVtZM+gT5+1z+filr7IIa6SQZZcE3t0fnM0aH56cYQCSuMnLKXxWXcX6bXEcvZD8YMEn/YOZPJy2/A6OIwPmXWVxRy6ddAv9FUJUPH1l5AiSxpAMwYsEI+hRgxEUAlx24tLGQlAAj/8ID9CkseXxsRKPRZGRkaDQao4yq1Sh0hl6cCvkGaY07xSi7mDoJERo0cSszdm7RNL7393EGLjAJMtendJsjlwed9FYoh0+5emN9NIqL5AxcyLThFBMF0qN3Z/3Az9CYTKmmBy6L230uIr6MdSCLNO788bTO3xf5+xyIOGiiA3SSjLKwm9uTkxn+WKc+VSa3jDOoGl99khaj/hWXcaNMs3XacaTaW6H892TlpasP2I5L1yYicP5llnSuix1JAv9FUBUbjY2fBySxJBgwYsGIEAKSWEgCRiwYYUJaEUb+hQfoU7hSKdzOjnV6cWryh+hWsfCTzX8GFqGh0RoRmB+Z61M7lv7irVC+r7h2buV2TlEJY64F0qN3Z/2sboogZXgu6xCWbUxdtBb5+9RNGBG3Pt0UT+gksZQZzlijPsUIwaqrWHJqJiM6nW7RxjJvhfKDb4uu36o30yhmMsu/zDLToBjNWrv/GFGAKSAABIAAEAACQMDcBPgXHqBP4eSv1Wpv376tNWab83PH9eKUvw+6cAanBxhtCZEbtHGRt+PXaYWcIoXMYX5/OAMXmAg561NHfkgk90TfufQglTXOwLEwF0iP3p1VPjDUmES3ZMwPW5OQJ4f399Ejjdhaeu3/ZiJ/n6rJY9fEFtIPCSrTSTLKAm5utDMZo1unPlUuw4wzwBpZpWWm4aK4jDdsl7vH/Vrt10tLvBXKT76/UV5lsWeKRQTOv8zijlguRyTwXwRVudCRmR9AEktCACMWjAghIImFJGDEghEmpBVh5F94gD6FK5V6O8Z+XTP3Mpo4XC9O7dmEc3i8toQIDebdjUiIJ5SAIk2BM3CBudg7fPi23r33Dh/Ofp7lCJxesXOAotBboVyzKImOlDNwLK6yUzCqlfWDumg1yvBEue0/RcUbtVlZOeVz5O9zY8bUlVtuUu2CCjyIjb25PW2CMfqrPRPavbL51Z4JjHY5V+H9fU+n1Ly1ihrNZ4HF3gql/+KblTWWkahETHX+ZZZ5keGwLoH/IqjiiMwGbQBJLEkFjFgwCvjgg2s8G7UDExJXYmFVlnMAACAASURBVIEkFpISYORfeIA+hSWPj40Ylc4bhWjqaL04tTIQGblTFU4fjbYlRGgwr1ohxBO6hiJBmTNwozEb1dFCBH4P302KU8HzT2s3R9J5cgaOxVWjoLB3YlU6DGUm0S2y1afC41WxG/588LX+fQuF3367YuttVhT8jexMH7UadXMzOJ9/OKs4CvqUQVbN21Bcph49u8hbofzfopsqSzxFJWKq8y+zzMsLh3UJ/BdBFUdkNmgDSGJJKmDEghH0KcCIiwAuO3BpYyEpAUb+hQfoU1jy+NhIw+ksuY7+b6xenAoOQLUW3gW2gciFCA3mVSuEeELXUCQocwbeAFyBhy1B4ODyfQMU17wVyuD5pzWbVzJgcgaOxVWBeOjdWSUP0WqU4Yly1qfC41Xb16TWfzUC+fvkzvk+custVho8jXSSjHLDNzfGCY+qPGNZyyHQp9gSa9425a36j+bc8FYoxwUV3yiVei8qEVOdf5llXlg4rEvgvwiqOCKzQRtAEktSASMWjKBPAUZcBHDZgUsbC0kJMPIvPECfwpLHx0Y0Gk1mZibn+/uKCtD0/+rFqflfoTvVOAc2hy0hQoMmbmVmwubG+f4+9sDxZkRILhhCkoiqdnPkukXHyD2nlgWe1Dz95BRp0LwZN4Eeq+phKDOJbkkPXBaz64Ks3t/HCHn36hPq8UMfPUX1f6viihlH+as84Bu4uXGcyT+cVRyNiC+TecaNx8iRJfZmcRlntyW89UZp/X/n6SWqkf9XJPEb/UQEzr/MEh691GdI4L8IqlJTsJLxgCSWRAFGLBjJ16XxffDBNYyt24EJiSvDQBILSQkw8i88QJ/CkkcjjGRefPy1vgWTUE2lESdYuou0mogIGUXWp+DNnoS5qNq4Zu7cc6Q4FbvkMONrfRIxN4Ee62d10WoU64msQ8iqcffqE3UT9E9RlUxXrI+5arxvJoBnP9X4oaGnBATYkyTX1rJKNbld+qCpyn0nanQ6nVw9RfzLLNm6TTlm7f5TgUABCAABIAAEgAAQkD8B/oUH6FM4M6jVaouKipjv79PpUNJP6KvB+ienQqajuzU4hzSfLSGaiDYusmh7dON8fx974ALzIpP90S+u2vbRtGxvhXLQpIKk8D08apR5My6QHr0764d8VplJXGPG/LD1CVnh8WWsA8mnMX7Nuftf6/e5u6sYsyMq2UjH6CQZZfabG6OTQZUxrjXujx4eX2YVGWegZq0a5IevQVzG+SwKP3a/Vhu4vpSUy79fV1p1R4od00UEzr/MEh631GdI4L8IqlJTsJLxgCSWRAFGLBjJ16WxfPDBZb3R2IEJiSvVQBILSQkw8i88QJ/CksfHRli+rlldiVYH6ZUpfx+0cRmqr8M5nlltCdGnzLsbkRBPeCQVcxziDFxgatZ6ei4niLWenuznmZ9A9aao5YEnyc+Bft9cyVsTw4+LM3AsrrJTMKqV9WO5OCmK9SyZ7z9FD39jdGbptPHI30c7fnDq4nXG7JjOg5jl5sbT+8khuj/h8apmz0cRxPJmz0cx2uVchf2nniTTMv/qdLrdv1UPnKL0Vig/+LboyNm75n6QSsRU519mWQackFEl8F8EVSERNKK+QBJLsgEjFoyw/xRgxEUAlx24tLGQlAAj/8ID9CkseXxs5Kl0arXozNHHG059PQwdSUQy/noCCwUhQoN51QohnvCrKtiPcgbOApSvyYL6VF3sqsTQnz+YmkuKUxFBx+/HrG4QFGfgWJLFh6qBY6xKB6vSJK7RivSp8HjVyi3Fmd8tJPXx2wETdkSlsPKhGnngPnVz4+n39CHKMlkAfYoBROLq08lpoCYu4w0YFXs4R1n35eKb5D1qWvitK/m1Yi01fJ6IwPmXWQ0PaekeEvgvgqqlqch0fCCJJTGAEQtG0KcAIy4CuOzApY2FpAQY+RceoE9hyeNjI4/TWV+PsjL0b+gjH5sK/Bpdz8c5jDS2hAgN5lUrhHjSoLCCtwNn4AJzZBF96kHM6n1h+z+Znkl+6vvfjMuXVm81kg9n4FiSJZAevTvrB35xUhTrWdalT5E0DkT8cn+i/rt+yN8na25QzIZLrJTC41V0koyyuN9VjIFAn2IAkbjKyCl/VVzG+W2aclSt0cX/WuUz7Tp5v5obdfvPqw/M8SyViMD5l1mmRC3NuRL4L4KqNLFb3ShAEkvKACMWjKBPAUZcBHDZgUsbC0kJMPIvPECfwpLHx0a09fUlv+zRhc54rExN+gAd2oXUUr8eG09IQoQGbVxk3o5NjXP/KfbABeZAYn2qcO2mNYuSRj55ZuqjadkHlv2k2bzSSHEKxUWaN+MC6dG7s37gZ1WaxDVmBIZt3HlJ/vtPMTisiS34c36Yzt8X+fvo/H2z5wYmRCWHbytndKOTZJS1Wm1eXh5zcz1GJ4Mqw7416lPh8WXWmHEGebJqkB++BnEZ57OI41hphXr51vIBk/Rf9/NWKCcuLTlw+s7d+1octh/bEBE4/zILo29mMiWB/yKomilYazcLJLFkEDBiwUjuPyVibYBrdJuxAxMSVyqBJBaSEmDkX3iYXZ+Kiopq3769s7Nzz549T506xUrtxIkTPXv2dHZ27tChw9q1a+l99uzZ07VrVycnp65du+7du5d+iLXMHy3rKRgadTpUkI12bkAzP32sTH09DMVHocpyDMYtZUKIPmW8rtFYegrMmgT6lGbzyuyozVuCfx0/80/yo523Qvnp9L/2he1/YMQX+iRNnEB69O6sH8vFSVFcZ7EOYRWNW9ZduDp73uN7lL9P+dQvzyzZGLPhMuU8nSSWMmWZLFinPqViRGG9VSw5lYOR67fqw+NVg6Y+Vql8pl3/fm3pkdQ7pZVqi7hnmYUHvlCt3X98JMASEAACQAAIAAEgYHYC/AsP8+pTCQkJjo6O0dHRmZmZAQEBbm5uSqWSEXFBQUGTJk0CAgIyMzOjo6MdHR337NlD9klJSbG3tw8JCcnKygoJCXFwcDh79izjdEaVP1pGZ5OqajVS5qGTh9Cm5WjGJ9RHPvXUj3R7NqGKMpOMy+FkIfqUeZ+mEeKJpDIKz2NEAjNoJn2qZlPUn6u3bg/5Zfbcc0On5FGy1ABF4fffpSZHJmg2R4ojZt6MC6RH786qHXApTSLarfT5KTqWuPXpl74PrZswgrprVU8ae2XeksPLE1HpTa5t8sT9LYU+rpXujw7PT9GvL1mVK2o0O49V/29hMXVn81YoxwYWL9tSfiT1TkFxXb1aJ8JhEVNduoWHiHiMOEUC/0VQNcLxxtgFSGLJOmDEghGenwKMuAjgsgOXNhaSEmDkX3iYV5/q1avXxIkTKVJdunSZM2cOVSULs2bN6tKlC9X49ddf9+7dm6yOGTPG19eXOuTj4/Pxxx9TVdYCf7SspwhrrK/TPxgVHIAmDqc+3ekLihFobbAm7eTZM6fVasv8CVdYIA32FqIKmXc3IiGeiFNbRJ/FGXiDeJ/ugFGfSlu5ffXC32bOPj96Wg79Y5u3QjlsSt533509tHxv1cY1okMmT+QMHEuynoYjqMYQRMiqCB2K6xRr3H+KlcnquKLDyxMLvp2lGT/kqVtZwH/Q8lkoYT1DqBL3XXTG0Nb4/BS8v0/QBSh9Z51Ol1dUF/Nz5YSQm9T3/shb378nK/+3sDhoQ2nsgcryKo2RvomY6mZfeBjputhuEvgvgqrYaGz8PCCJJcGAEQtG2H8KMOIigMsOXNpYSEqAkX/hYUZ9qq6uzt7env6lvGnTpr333nsMcP369Zs2bRrVuHfvXgcHh/p6/Z5Nbdu2jYiIoA5FRER4eXlRVdYCf7Sspwhr1Okev5LP3wdNGYV+mI32bEKZF1F9na3dpoUIDeZVK4R4YqLsIvR0zsCFzSqEUZ+KXnyULkv9NyDr++9Sd4ceyF0TK/ppKUMsnIFjSZZAevTuDEEE9ClWIPTGVXHFe1YdP7tozY0ZU9GEoY+1qnn+dKqib270gaz0+SnQpxgzQc7VO/e1qZfvr99bMXlZydBvHu+kTt4PS8qN/buRiGWZ2RceZoYugf8iqJo5aGs1DySxZA4wYsEoem2Aa3SbsQMTElcqgSQWkhJg5F94mFGfKi4uJggiOTmZIhUcHNypUyeqShY6duwYHBxMNSYnJxMEcfPmTYSQo6NjfHw8dSg+Pt7JyYmqUoXa2trqJz/Xr18nCKKwsFD16KeysrK6urqyspKsqlQqsqWiooKnpaqqqrq6muqgUqmqHv2QLRUHdlYc21+Vm1lFM6JSqaqrq8vLy48dO1ZaWqpSqSoqKhhDG7aYwz3SSbrDZEt1dXVVVRUVlKEzzJZ1YZXrQqvXhVauC1WtCyP/I1sqnlRVT/qUrgs7Frex9FF71aOzqFNU68Kq1oVW0YywtlQ/3adiXRhjaMMW492jO4zXPSpwpntPZpqRcy+idevFBBHRujX73BNC73hY9A/f7d+zeNvZ5euu//gDmQime08SZ0xyWelRgZsluQLpUbO6qqoqOLowJDqf+i84ujA4uvD07EXUf2dmLTwzayFVPT17UbKQlpNzFkdvORQSffWR5QLaQAWPhqa36IcOiTZsYbpHGQmJzicd5m3RD/R0mGQLfSD2FjZn6GcVVpeXqTL+qPg1seLXRMZ9r7S09NixY+Xl5fTbCHnfo7cwbiOPAvnbGffnfiCIxe7P/WBF9JZG5z7KeH6D9J5OijGpNOxjxuQGRz/+tcj1O4LxW6O0tDQpKam8vJy6vhjJZf01J59fauXl5TkFpb+dvRW77/riDQVlZfpAjHGvrKwsKSmJ/D1OseJZEqhUqsLCQoIgqqqqkHX+VFVVEQRRVFT0ZCWF/1+VSpWUlETeMfBbb0wWgSSWbANGLBjJGyNc2qbDhAlpOkPSApDEQlICjEVFRTwLJ7PrUykpKdSCbcmSJZ07d6aqZKFjx44hISFU45kzZwiCKCkpIfWp7du3U4e2bdvm7OxMValCUFAQAT9AAAgAASAABIAAELAQgaKiImpZYl0FcploIWwwLBAAAkAACAABINAYCXAtnMyoT0n2/T7681OVlZX5+fnkQyhYFERBRshFnln/CCnIH8k6Q+CSoZbJQJBxmSRCMjcg45KhlslAkHHjE1FVVVVUVKTVaq1LlqK81Wq1RUVFZl04NdrpZPwsMrInkDQSFH83wMjPx/ijQNJ4Vjw9ASMPHEGHgKQgXFydJcDIv3Ayoz6FEOrVq5dCoaDWQF27dmXdH71r165Un4kTJ9L3Rx88eDB1yNfXt8H90anOFinwf5fSIi5JMygELg1n+YwCGZdPLqTxBDIuDWf5jAIZl08ubMCTRjudsOcOSGJBChixYEQIAUksJAEjFowwIW0Go3n1qYSEBEdHx02bNmVmZk6fPt3Nze3atWsIoTlz5owbN46EWFBQ0KRJk2+++SYzM3PTpk2Ojo579uwhDyUnJ9vb24eGhmZlZYWGhjo4OJw9exYXenPYabT3FwjcHNNJzjYh43LOjjl8g4ybg6qcbULG5Zwdq/Ot0U4n7JkCkliQAkYsGEEOAIy4COCyA5c2FpIWx2hefQohFBUV1a5dOycnp549e548eZKk5ufn179/f4rgiRMn3nzzTScnp/bt269du5ZqRwjt3r27c+fOjo6OXbp0SUxMpB+SYdni6bQUEwjcUuQtNS5k3FLkLTUuZNxS5C01LmTcUuRtctxGO52wZxNIYkEKGLFgBH0KMOIigMsOXNpYSFoco9n1KSyYrMVIbW1tUFDQw/9bi8O4/ITAcZG0FjuQcWvJFC4/IeO4SFqLHci4tWTKKvxstNMJe3aAJBakgBELxodfiAGSWEgCRiwYYULaDEbQp3ClEuwAASAABIAAEAACQAAIAAEgAASAABAAAkAACIghAPqUGGpwDhAAAkAACAABIAAEgAAQAAJAAAgAASAABIAALgKgT+EiCXaAABAAAkAACAABIAAEgAAQAAJAAAgAASAABMQQAH1KDDU4BwgAASAABIAAEAACQAAIAAEgAASAABAAAkAAFwHQp4wi2a5dO+Lpn0mTJiGE/Pz86M3vvvsul7k9e/Z07drVycmpa9eue/fu5eomt3auwOlRk+Vly5YZOh8bG8vo+eDBA8NuMmxRq9Xz5s1r3769i4tLhw4dFi5cqNVqST91Ol1QUFDr1q1dXFz69+9/5coVLv+tMelcgdfX18+aNat79+5NmjRp3br1uHHjiouLWQO30qRzBW7zlzlP4IyLlyAIG7vMa2pqAgICvLy8XFxc+vTpk5aW1hiucYQQa+A2f41zBW7z1zjrjVqaxiVLlvTp08fV1bVZs2Y8Ixq/lOIxYsOHjMRo/OLEhlnxh1ZRUfHZZ5+5P/r57LPPKisrWfvDhDTEEhUV1b59e2dn5549e546dcqwA0LoxIkTPXv2dHZ27tChA+Nt7Kz9G2djgySPHz/OWH1lZWU1TlZcUZ88eXLYsGGtW7cmCGLfvn1c3WBCcpGh2o0haZEJCfoUlSO+QmlpacmTn2PHjhEEcfz4cXJR6+vr++RIiUqlYrWSkpJib28fEhKSlZUVEhLi4OBw9uxZ1p5ya+QKnAq5pKQkJibGzs4uPz/f0PnY2Fh3d3d6Z8M+8mxZsmRJ8+bNDx48WFhYuHv37qZNm0ZGRpKuhoaGPvvss4mJiZcvX/7vf//bunXrmpoawyisNOlcgVdVVf373//euXNndnZ2amrqu++++9ZbbxlGjRCy0qRzBW7zlzlP4PQr1yYv8zFjxrz66qsnT568evVqUFCQu7v7jRs3EEK2fY0jhFgDt/lrnCtwm7/GWW/U0jQGBgZGRETMmDGjQX3KmKWUND7LcBQjMRp545JhgJK55Ovr271795RHP927dx82bBjr0H5+fjAh6WQSEhIcHR2jo6MzMzMDAgLc3NyUSiW9A0KooKCgSZMmAQEBmZmZ0dHRjo6Oe/bsYfSBqjEkSTkgJyeHWoNpNBpARydw6NChefPmJSYm8uhTMCHpxLjKxpC0yIQEfYorZZztAQEBL7/88sO/U5GL2pEjR3J2fXJgzJgxvr6+T2rIx8fn448/pqrWUqAHTvd55MiR77//Pr2FKsfGxvKvSqmecisMHTr0yy+/pLwaNWrUZ599hhDS6XStWrUKDQ0lD9XW1jZr1mzdunVUT6pgpUnnCpyKiyykpaURBGG4QCH1KWtMOk/gfn5+NnyZ8wROT7rtXeb379+3t7c/ePAgFWaPHj3mzZtn89c4V+AUB1u9xnkCt+1rnJFZ6asNrgSM5C+957IakR+j8TcuWQUlpTOZmZkEQVB/Hk5NTSUIIjs729AHmJAMJr169Zo4cSLV2KVLlzlz5lBVsjBr1qwuXbpQjV9//XXv3r2pKhRIAsaQJOUArof7gCSdAI8+BROSDqrBMg9Ji0xI0KcaTNlTHerq6po3bx4cHEy2+vn5NWvWrEWLFh07dhw/fvzt27ef6v2k0rZt24iIiCc1FBER4eXlRVWtosAInPL51q1bDg4O8fHxVAu9EBsba29v7+Xl5enpOXTo0IsXL9KPyrm8dOnSdu3a5eTkIIQyMjJatmy5fft2hFB+fj5BEPRARowY8fnnnxvGYqVJ5wqcEeCxY8fs7Oyqq6sZ7aQ+ZY1J5wncti9znsCp5NrkZV5TU0MQRFJSEhVm7969+/fvb/PXOFfgFAeyYHvXOE/gtn2NMzIrfZVfWCH/1GfMUkp6z2U1Ij9G429csgpKSmc2bdrE+ONZs2bNYmJiDH0w8oZgeKJNttTV1dnb29N3Jpk2bdp7773HCLZfv37Tpk2jGvfu3evg4FBfX0+1QMFIkqQc0L59+1atWr3//vu///47oOMiwKOqwITkgsbazkPSIhMS9CnWNHE27ty5097entp5JyEh4eDBg5cvX/7555979OjRrVu32tpaw5MdHR3pCk58fLyTk5NhNzm3MAKnXA0LC3v++ee5dpVKTU3dunVrRkbGqVOnRo8e7erqmpubS50r54JOp5szZ46dnZ2Dg4OdnV1ISAjpbXJyMkEQ1ARACH311VeDBg0yjMVKk84VOD3ABw8evPXWW2PHjqU3UmUrTTpP4LZ9mfMETuXUVi/zPn369O/fv7i4WKPRbN261c7OrlOnTjZ/jSOEWAOn0o0QsslrnCdw277G6Zm1SJlfWEEIGcnfIs7LZ1B+jMbfuOQTkcSeBAcHd+zYkT5ox44dqdUdvR0mJJ1GcXExQRDJyclUY3BwcKdOnagqWejYsSP1x3uEEDkhb968yejWmKtGkszOzt6wYcOFCxdSUlIUCoWdnd3JkycbMzee2HlUFZiQPNwMD/GQtMiEBH3KMEd8LYMGDeL6vvrNmzcdHR0TExMNz3d0dCSfviEPbdu2zdnZ2bCbnFu4Au/cufOUKVOM8Vyr1fbo0WPq1KnGdLZ4nx07drRp02bHjh2XLl3asmWLh4fH5s2bWX/jjh8/3sfHx9BhK006V+BUgPX19SNHjnzzzTdZH56iupEFK0p6g4GTEdneZW5M4LZ6mefl5b333nsEQdjb27/zzjtjx47t2rWr4araxq5xhBBr4NTFa6vXeIOB2+o1TmUWeyEoKIixjy9VPX/+PDUcv7BCdSMLPPdYRk+bqWLBaPyNy2a4GQbCT9JQVXnllVeWLl1qaIfe0ggnJD38h3+FJVWVlJQUqn3JkiWdO3emqmSBIfadOXOGIIiSkhJGt8ZcNZIkA9GwYcOGDx/OaIQqSYBHVYEJKWiS8JBk2JFmQoI+xcDOV7127dozzzzz008/cXV65ZVXqJ2J6H2s9KteVAhcgZ86dYogiIyMDKonf2H8+PH0fbj4O1v2aJs2bX788UfKh8WLF5O/jI1/hN5Kk84VOImivr7+gw8+eP3118vLyyk4/AVrSTp/4PQYbewybzBwG77MybTevXuX/BvvmDFjhgwZYvPXODWZGYGT7TZ8jfMHTh1FCNnYNU4PDW+5rKwsi+OH/lS1IH2Khz9e5+VjDQtG429c8gkcuyf8JI3/fh/DMa4bAqObrVaN/FYafJ2qwQlgJEmGnSVLltA39mIcbeRVHlUFJqSgucFDkmFHmgkJ+hQDO181KCioVatWarWatVN5efnDl6rGxcUZHh0zZszgwYOpdl9fX+vaH50rcD8/P66XuFHBUgWdTvf2229/8cUXVIucCx4eHmvWrKE8DAkJIR8LJ7cgDQsLIw/V1dXx7I9ujUnnChwhRH5w7datW2lpKUWGv2BFSecJnB6j7V3mDQZuw5c5PbMVFRXNmjVbv369zV/j9KgRQlTgNn+N8wROP2R71zg9OouUBelTPPwt4rx8BuXHaPyNSz4RSewJuT/6uXPnyHHPnj3LtT863TGYkAihXr16KRQKCkvXrl1Z90fv2rUr1WfixImwPzpFgyoYQ5LqTBZGjx7t7e3NaIQqSYBHVZk1axZMSOPnCQ9JhhFpJiToUwzsnFWtVuvl5TV79myqx507d2bOnJmSklJYWHj8+PE+ffp4enrW1NSQHcaNG0fdvpOTk+3t7UNDQ7OyskJDQx0cHKgXiFDWZFswDJx0tbq6ukmTJmvXrmV4Tg98wYIFhw8fzs/PT09P/+KLLxwcHKiVAeMsuVX9/Pw8PT0PHjxYWFi4d+/eF154YdasWaSToaGhzZo127t37+XLlz/55JPWrVvbUtK5Aler1SNGjGjTpk1GRgb1ytu6ujqSiQ0knStwm7/MuQInM2vbl/nhw4d//fXXgoKCo0eP9ujRo1evXuRmrrZ9jSOEWAO3+WucK3Cbv8Yt+OtVqVSmp6cvXLiwadOm6Y9+7ty5Q/rTuXNncsdlfv4WdF4+QxuDESHEc+OSTyyW9cTX1/f1119PffTz2muv0ffrgAnJk5qEhARHR8dNmzZlZmZOnz7dzc3t2rVrCKE5c+aMGzeOPLGgoKBJkybffPNNZmbmpk2bHB0d9+zZw2OzcR4yhuSKFSv27duXm5t75cqVOXPmEATBunVM4wRIRn3nzh3yFwpBEBEREQ8/Y5LvE4cJKXRWGEPSIhMS9CljU3nkyBGCIMgXupHn3L9/f9CgQS1atHB0dPTy8vLz87t+/Tplrn///n5+flR19+7dnTt3dnR07NKli3XdaAwDJ4Nav369q6trVVUVFSNZoAc+ffp0Ly8vJyenFi1aDBo0iP71dcZZcqvW1NQEBAR4eXm5uLi89NJL8+bNo7QYnU5HPlDm7Oz83nvvXb58mXKeHjtCyBqTzhV4YWEhtbEIVTh+/LjNJJ0rcJu/zLkCJzNr25f5zp07X3rpJScnp1atWk2ePJm6m9n2NY4QYg3c5q9xrsBt/hqnfkNJX/Dz86N+X5AF6rcGQRCxsbEIIX7+0vsswxGNwYgQ4rlxyTAoi7ikUqnGjh377KOfsWPHVlZWUm7AhKRQsBaioqLatWvn5OTUs2dPartuPz+//v37U/1PnDjx5ptvOjk5tW/f3vCv11S3Rl5okGRYWNjLL7/s4uLy/PPP//Of//zll18aOTHD8Mk3ytF/uZCfuGFCGrLibzGGpEUmJOhT/ImDo0AACAABIAAEgAAQAAJAAAgAASAABIAAEAAC5iUA+pR5+YJ1IAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAF+AqBP8fOBo0AACAABIAAEgAAQAAJAAAgAASAABIAAEAAC5iUA+pR5+YJ1IAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAF+AqBP8fOBo0AACAABIAAEgAAQAAJAAAgAASAABIAAEAAC5iUA+pR5+YJ1IAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAF+AqBP8fOBo0AACAABIAAEgAAQAAJAAAgAASAABIAAEAAC5iUA+pR5+YJ1IAAEgAAQAAJAAAgAASAABIAAEAACQAAIAAF+AqBP8fOBo0AACAABIAAEgAAQAAJAAAgAASAABIAAEAAChDcK/QAAEERJREFU5iUA+pR5+YJ1IAAEgAAQAAJAAAgAASAABIAAg0BhYSFBEOnp6Yx26avt2rVbsWKFuHH79+8fEBAg7lyznkUQxL59+xBC8uFs1njBOBCwDQKgT9lGHiEKIGBrBAiOHz8/P+ND5V9vXbx4cejQoS1atHB2dm7Xrt2YMWPKysqMNw49gQAQAAJAAAgAASDAT4BjOUP4+flZSjeJjY1t1qwZ3e3S0tJ79+7RW4wv8+hT9+/fDwwM7NSpk5OTU/PmzUePHn3lyhXjLQvqGRQU1KNHD/opJSUltbW1oE/RmUAZCMifAOhT8s8ReAgEGiOBkic/kZGR7u7uT2olVVVVxuPg0adu377t4eHh5+d38eLFgoKC3377LSAgQKlUGm+cq2d9fT3XIWgHAkAACAABIAAEGhUBagFjuJ4xnz6l0Wi0Wi0XZ0N9iqunMe1c+lRtbW3fvn3btGmzc+fOa9eunTt37oMPPnBzc0tNTTXGrNA+hvoUZcF8nKkhoAAEgAAuAqBP4SIJdoAAEDALAcYq6ueff+7Zs6ezs3OHDh0WLFigVqvJUYOCgtq2bevk5NS6deupU6cihPr370//oyXDuX379jk4OFCnM45euXJlyJAhzz77bNOmTf/5z3/m5eUhhLRa7cKFCz09PZ2cnHr06PHrr7+SZ5Hrnp07d/bv39/Z2TkmJgYhFBMT06VLF2dn586dO0dFRZE96+rqJk+e3KpVK/KJrZCQEMa4UAUCQAAIAAEgAARskgBjPUM915OYmPivf/3L1dX19ddfT0lJoWJPTk7u16+fi4tLmzZtpk6devfuXfJQRUXFuHHjnnvuOVdXV19f39zcXLKdtH/gwIGuXbva29sXFBTU1dV9++23L774YpMmTXr16nX8+PGHq6Pjx4/TV0dBQUEIIfrf8yorK7/66quWLVs6Ozt369btwIEDCKHy8vKPP/7Y09PT1dW1e/fu27dvp/zk0qdCQ0Pt7OwyMjKonlqt9u2333711Vd1Oh25TqN/MXDkyJHUM/Jbt2596623mjZt+o9//OOTTz65ffs2aYR0Pikp6a233nJ1de3Tp092dvZD/2NjY+lBxcbGIoS4vt/3119/DR482M3NrWXLlp999hn17Pzu3bu7d+/u4uLi4eExYMAACjjlPxSAABCQgADoUxJAhiGAABAQT4C+njt8+LC7u/vmzZvz8/OPHj3avn37BQsWIIR2797t7u5+6NAhpVJ57ty5DRs2IIRUKlWbNm0WLVpE/umS4UFqaipBELt27SIXSfSjN27c8PDwGDVq1Pnz53NycmJiYsjVT0REhLu7+44dO7Kzs2fNmuXo6EguCkl9qn379omJiQUFBcXFxRs2bGjdujVZTUxM9PDw2Lx5M0Jo+fLlbdu2PXXq1LVr106fPk1f3tEdgDIQAAJAAAgAASBgYwTo6xkyNHL90KVLl4MHD+bk5Hz00Uft2rUj/3J26dKlpk2brlixIjc3Nzk5+c033/zf//5HnjVixIiuXbueOnUqIyPDx8fnlVdeIR/cjo2NdXR07Nu3b3JycnZ29t27dz/99NO+ffueOnUqLy9v+fLlzs7Oubm5dXV19Ce57ty5Q9entFpt7969u3XrdvTo0fz8/AMHDhw6dAghdOPGjeXLl6enp+fn569atcre3v7s2bOkP1z61EO5bdCgQYwkxsfHU1tuMU6k61ObNm06dOhQfn5+ampq7969Bw8eTNoh9al33333xIkTf/31V79+/fr27YsQun///syZM7t160Yu+e7fv8+lT928efOFF16YO3duVlbWxYsXBw4c6O3tjRC6efOmg4NDREREYWHhpUuXoqKiSDIM/6EKBICAuQmAPmVuwmAfCAABkwjQ13P9+vWjP3O0devW1q1bI4TCw8M7depk+MU6+t8DDZ347rvvHBwcPDw8fH19ly1bduvWLbLP3LlzO3ToYGjtxRdfDA4Opuy88847kyZNov7+GRkZSR1q27YtXXtavHhxnz59HkpmU6dOff/99w0VMepEKAABIAAEgAAQAAI2SYC+niEDJPWpjRs3ktW//vqLIIisrCyE0Lhx4yZMmEBxOH369DPPPPPgwYPc3FyCIJKTk8lD5eXlrq6uu3btop4hop5XysvLs7OzKy4upowMGDBg7ty5ZE/G/lPUeunIkSPPPPNMTk4OdRZrYciQITNnziQPMWQmqr+Liwv98Siy/eLFiwRB7Ny5k//5KcoIQigtLY0gCFItop6fIjv88ssvBEE8ePDgYdXw+32sz0/Nnz+frpoVFRURBJGTk3PhwgWCIK5du0YfGspAAAhITwD0KemZw4hAAAgIIEBfzzVp0sTFxcXtyY+LiwtBEPfu3bt+/Xrbtm3btGkzfvz4vXv3Ut/ao9ZbXOOVl5fv2rVrxowZL7300nPPPXfp0iWE0ODBgz///HPGKdXV1QRBnDhxgmqfPn06+Tc3cn155swZ8lBpaSlBEK6urk/cdHN2dm7ZsiVC6MKFCx4eHh07dpw6deqRI0coU1AAAkAACAABIAAEbJsAfT1DRkquH9LS0shqRUUFQRAnT55ECL366qtOTk7UQqJJkyYEQWRmZu7fv9/BwUGj0VCs3njjjYULF5Kqk5OTE/U3sF27dhEEQVlwc3NzcHAYM2YMvz4VFhbm5eVFGacKGo1myZIlr732moeHB2nqP//5D3lUkD5FykDka/UYJ9Kfn7p48eKIESO8vLyaNm1Kxv7XX39RX04sLS0lhybVLnLzUCP1qSFDhjg6OtKxEARx6NAhjUYzYMCAZ5999qOPPtqwYUNFRQUVOxSAABCQkgDoU1LShrGAABAQTIC+nnNxcQkLC7v69A+5A+j9+/f3798/derUVq1a9enTh3z6qUF9ivKmrq7u1VdfJWWpUaNGcelT5KqRPCsgIOD999+nnp+i3g9969YtgiC2bdtGd7OgoIA8q7q6OiEhYfz48c2aNRs9ejTlABSAABAAAkAACAABGyZAX8+QYZL6FLV+qKysJAiC3CWqS5cuU6dOpS8krl69WldX99NPPzH0qR49eixatMhQdUpISLC3t8/OzqYbKSkpMez5sIVaL61atYpVnwoLC2vevPnWrVszMjKuXr06dOjQkSNHklEwZCYqg6+99trAgQOpKlkgv99Hik3e3t7Tpk2jOgwZMoTcf+ru3bsvvPDCp59+eurUqaysrCNHjlBfCSSfn6qsrCTPSk9PJwiisLDwYdVIfcrX13fUqFF0JlevXiW3mtLpdGfOnAkMDHzttddatGhBrdwoD6EABICABARAn5IAMgwBBICAeAL09Vzfvn2//PJLflvZ2dkEQVy4cAEh1LFjxx9++IG/P3V0+PDhpGC0YMECI7/fN3nyZEN9CiHk6elJLhYp44aFw4cPEwShUqkMD0ELEAACQAAIAAEgYGME6OsZMjQefeqhOkP+DYwBgfX7fbt37zZUnXJycgiCOHXqFMPCw9VRfHx806ZN6e2UPnXixAnW7/cNGzaMWoBptdpOnTo1qE+FhISw7o/+9ttvk0OPGTOGeghLo9F4eXmR+tQff/xBEMT169fJblu3bjVGnwoODu7evTs9KNbv93333XedO3emHrSn96fKGo3G09MzPDycaoECEAACkhEAfUoy1DAQEAACYgjQ13OHDx92cHAICgq6cuVKZmZmQkLCvHnzyDXZxo0bL1++nJ+fP2/ePFdX1/LycoTQwIEDR4wYcePGDerlLJQHBw4cGDt27IEDB3JycrKzs5cvX25vb79lyxbyJTXNmzcn90fPzc3dsmULuT/6ihUr3N3dExISsrOzZ8+ezdgfnfr750N9Kjo62tXVNTIyMicn59KlSzExMeQqJyIiYseOHVlZWTk5Of7+/q1ateJ5/TPlKhSAABAAAkAACAABaydAX8+QsfDoU3/++aerq+ukSZPS09Nzc3P3798/ZcoU8qyRI0e++uqrp0+fzsjI8PX1pe+PzthVauzYsdTLW9LS0kJDQ3/55ZeHq6Pk5GSCIJKSksrKyu7du0d/fgoh9K9//at79+5Hjx4tKCg4dOgQ+bbi6dOnt23bNjk5OTMzc/z48e7u7g3qUw8ePHj33Xfbtm27a9cupVKZlpb2wQcfNGvW7MqVK2Qg69ata9KkycGDB7OysiZMmODu7k7qU6WlpU5OTt9++21+fv7+/fs7depkjD4VHx/v5uaWnp5eVlZWW1vLtT96cXFxixYtPvroo3PnzuXn5x85cuSLL77QaDRnz54NDg4+f/68UqnctWuXk5MTuTG8tc868B8IWB0B0KesLmXgMBBoXAQY67nDhw/37dvX1dX14Qv7evXqRb6qb9++fe+++667u7ubm1vv3r2TkpJIRqmpqa+//rqzszNBMO91+fn5X331VadOnR4KSc8999w777xDvo2YPPHPP/8cNGhQkyZNnn322X79+uXn5yOEtFrtwoULPT09HR0de/ToQa7YWJ+fIv84+cYbbzg5OT3//PPvvffe3r17EUIbNmx444033Nzc3N3dBwwYcPHixcaVS4gWCAABIAAEgEBjJcBYzxiuH+jf7yP3BR84cGDTpk3d3Nxef/116g0tFRUV48aNa9asmaurq4+PD/kqYcPnpxBC9fX1gYGB7du3d3R0bNWq1Ycffkjus4kQmjhxYvPmzR+ujoKCghj6lEql+uKLL5o3b+7i4tK9e/eDBw+S70QeOXJk06ZNW7Zs+f3333/++ecN6lMIobt3786bN+/ll192cHB4uPXBK6+8UlRUROW/vr5eoVB4eHi0bNly6dKl9P2ntm/f3r59e2dn5z59+vz888/G6FO1tbWjR49+7rnnCIIgV3Ssz08hhHJzcz/88MPnnnvO1dW1S5cu06dP1+l0mZmZPj4+LVq0cHZ27tSp0+rVqyk/oQAEgICUBJif2aQcG8YCAkAACAABIAAEgAAQAAJAAAgAAdsmcOjQIWdnZ9B9bDvLEB0QMJ0A6FOmMwQLQAAIAAEgAASAABAAAkAACAABIMBJ4Pfff1+4cKHhlgucJ8ABIAAEGh8B0KcaX84hYiAABIAAEAACQAAIAAEgAASAABAAAkAACMiJAOhTcsoG+AIEgAAQAAJAAAgAASAABIAAEAACQAAIAIHGRwD0qcaXc4gYCAABIAAEgAAQAAJAAAgAASAABIAAEAACciIA+pScsgG+AAEgAASAABAAAkAACAABIAAEgAAQAAJAoPERAH2q8eUcIgYCQAAIAAEgAASAABAAAkAACAABIAAEgICcCIA+JadsgC9AAAgAASAABIAAEAACQAAIAAEgAASAABBofARAn2p8OYeIgQAQAAJAAAgAASAABIAAEAACQAAIAAEgICcCoE/JKRvgCxAAAkAACAABIAAEgAAQAAJAAAgAASAABBofAdCnGl/OIWIgAASAABAAAkAACAABIAAEgAAQAAJAAAjIiQDoU3LKBvgCBIAAEAACQAAIAAEgAASAABAAAkAACACBxkcA9KnGl3OIGAgAASAABIAAEAACQAAIAAEgAASAABAAAnIi8P+8HEv2K836QAAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question : Two sample T -TEST Problem Statement Paired Groups:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example Problem\n",
    "\n",
    "Suppose you have the following data for a study where participants' blood pressure was measured before and after a treatment:\n",
    "\n",
    "Before Treatment: [120, 130, 125, 140, 135]\n",
    "\n",
    "After Treatment: [115, 125, 120, 130, 125]\n",
    "\n",
    "We want to determine if there is a significant difference in blood pressure before and after the treatment."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Python Code for Paired t-Test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "t-statistic: 5.715\n",
      "p-value: 0.005\n",
      "Reject the null hypothesis: There is a significant difference between before and after treatment.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Data for the study\n",
    "before = np.array([120, 130, 125, 140, 135])\n",
    "after = np.array([115, 125, 120, 130, 125])\n",
    "\n",
    "# Perform the paired t-test\n",
    "t_statistic, p_value = stats.ttest_rel(before, after)\n",
    "\n",
    "# Output the results\n",
    "print(f\"t-statistic: {t_statistic:.3f}\")\n",
    "print(f\"p-value: {p_value:.3f}\")\n",
    "\n",
    "# Interpret the results\n",
    "alpha = 0.05\n",
    "if p_value < alpha:\n",
    "    print(\"Reject the null hypothesis: There is a significant difference between before and after treatment.\")\n",
    "else:\n",
    "    print(\"Fail to reject the null hypothesis: There is no significant difference between before and after treatment.\")\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " The mean values are highlighted with red dots, and their values are annotated on the graph. This visualization makes it easy to see the distribution of blood pressure measurements before and after treatment and understand the central tendency of the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4 Chi-Square Test and Steps of It\n",
    "\n",
    "Definition: A Chi-Square test assesses the association between categorical variables.\n",
    "\n",
    "Types:\n",
    "\n",
    "Chi-Square Goodness-of-Fit Test: Tests if a sample matches the expected distribution.\n",
    "\n",
    "Chi-Square Test of Independence: Tests if two categorical variables are independent.\n",
    "Steps:\n",
    "\n",
    "State Hypotheses:\n",
    "\n",
    "Null Hypothesis (𝐻0): Variables are independent or sample matches the expected distribution.\n",
    "\n",
    "Alternative Hypothesis(𝐻A): Variables are dependent or sample does not match the expected distribution.\n",
    "Calculate Expected Frequencies.\n",
    "\n",
    "Compute Chi-Square Statistic:\n",
    "\n",
    " χ2 = ∑(Oi−Ei) squared / Ei\n",
    "\n",
    " where 𝑂𝑖 is the observed frequency and 𝐸𝑖 is the expected frequency.\n",
    " \n",
    "​\n",
    "Compare with Critical Value or Compute P-Value.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question : Suppose you are analyzing the distribution of colors of cars in a parking lot.\n",
    "### You want to test if the observed proportions of car colors fit the expected proportions. \n",
    "### The expected proportions are based on market data.\n",
    "\n",
    "Observed Counts:\n",
    "\n",
    "Red: 30\n",
    "\n",
    "Blue: 45\n",
    "\n",
    "Green: 25\n",
    "\n",
    "Black: 50\n",
    "\n",
    "Expected Proportions (based on market data):\n",
    "\n",
    "\n",
    "Red: 25%\n",
    "\n",
    "Blue: 35%\n",
    "\n",
    "Green: 20%\n",
    "\n",
    "Black: 20%\n",
    "\n",
    "Objective:\n",
    "\n",
    "Determine if the observed distribution of car colors significantly differs from the expected distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Chi-Square Statistic: 16.738\n",
      "p-value: 0.001\n",
      "Reject the null hypothesis: The observed distribution does not fit the expected distribution.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import chisquare\n",
    "\n",
    "\n",
    "# Observed counts\n",
    "observed = np.array([30, 45, 25, 50])\n",
    "\n",
    "# Expected proportions\n",
    "expected_proportions = np.array([0.25, 0.35, 0.20, 0.20])\n",
    "\n",
    "# Total number of observations\n",
    "total_observations = np.sum(observed)\n",
    "\n",
    "# Calculate expected counts\n",
    "expected = expected_proportions * total_observations\n",
    "\n",
    "# Perform Chi-Square Test using scipy\n",
    "chi2_statistic, p_value = chisquare(f_obs=observed, f_exp=expected)\n",
    "\n",
    "# Output results\n",
    "print(f\"Chi-Square Statistic: {chi2_statistic:.3f}\")\n",
    "print(f\"p-value: {p_value:.3f}\")\n",
    "\n",
    "# Interpret the results\n",
    "alpha = 0.05\n",
    "if p_value < alpha:\n",
    "    print(\"Reject the null hypothesis: The observed distribution does not fit the expected distribution.\")\n",
    "else:\n",
    "    print(\"Fail to reject the null hypothesis: The observed distribution fits the expected distribution.\")\n",
    "\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.5 ANOVA Test\n",
    "\n",
    "Definition: ANOVA (Analysis of Variance) is used to compare means across multiple groups.\n",
    "\n",
    "Types:\n",
    "\n",
    "One-Way ANOVA: Tests differences between groups based on one factor.\n",
    "\n",
    "Two-Way ANOVA: Tests differences based on two factors and their interaction.\n",
    "Steps:\n",
    "\n",
    "State Hypotheses:\n",
    "\n",
    "Null Hypothesis (𝐻0): All group means are equal.\n",
    "\n",
    "Alternative Hypothesis (𝐻𝐴): At least one group mean is different.\n",
    "\n",
    "Calculate ANOVA Statistic:\n",
    "\n",
    "𝐹=Between-Group Variability/Within-Group Variability\n",
    "\n",
    "​\n",
    " Compare F-Statistic with Critical Value or Compute P-Value."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Question : One way anova \n",
    "Suppose you are testing the effect of three different diets on weight loss. You have data on weight loss (in pounds) for three groups of individuals, each following a different diet for a month:\n",
    "\n",
    "Diet A: [5, 6, 7, 5, 6]\n",
    "\n",
    "Diet B: [8, 9, 7, 8, 9]\n",
    "\n",
    "Diet C: [6, 5, 7, 5, 6]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "F-Statistic: 13.714\n",
      "p-value: 0.001\n",
      "Reject the null hypothesis: There is a significant difference in weight loss among the diets.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import f_oneway\n",
    "\n",
    "\n",
    "# Data for each diet\n",
    "diet_a = np.array([5, 6, 7, 5, 6])\n",
    "diet_b = np.array([8, 9, 7, 8, 9])\n",
    "diet_c = np.array([6, 5, 7, 5, 6])\n",
    "\n",
    "# Perform One-Way ANOVA\n",
    "f_statistic, p_value = f_oneway(diet_a, diet_b, diet_c)\n",
    "\n",
    "# Output results\n",
    "print(f\"F-Statistic: {f_statistic:.3f}\")\n",
    "print(f\"p-value: {p_value:.3f}\")\n",
    "\n",
    "# Interpret the results\n",
    "alpha = 0.05\n",
    "if p_value < alpha:\n",
    "    print(\"Reject the null hypothesis: There is a significant difference in weight loss among the diets.\")\n",
    "else:\n",
    "    print(\"Fail to reject the null hypothesis: There is no significant difference in weight loss among the diets.\")\n",
    "\n",
    "\n"
   ]
  },
  {
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AwCAkIN9/8vLLLyeNUP7TNkmXYCml3d3da9asmTp1allZWUVFxYwZM/72t7/Jf0FGqElZiFNKT506NXv27FGjRlVUVDz66KMNDQ3PP/88V2niXojshXg4HH7uuefGjRtXWlo6ceJE8SeHksYiipElo3wshDg/8bPPPnv00Uf5n7ifMGHCggULUh/73dPT8+qrr86YMWPs2LHDhw+/9tprH3jgAXHJXBRw/PjxRx99dOLEiSNGjCgrK5s2bdrq1avF89dFN/lAVPv444/7/f6VK1dOmDBhxIgRv/rVr8RfFJL7U0qF3l28eHFSU9qX8tj5cUlJybhx4+69997t27enSvlUIU4pHRgYePXVV2+99dZyZtOnT9+wYUMgEJAzXrp06eGHH+YdZsyYkfpGkjvjGARAAAQ4AQhxvBNAAARAwGYCZ8+e3bRp086dOw8dOuT3+3n0RCIh7vP+xz/+YXPKoRHuwoUL4paSr776amgMGqMEARAYzAQgxAfz7GJsIAACWgjIF+BvueWW559//rnnnhN/gKasrKy7u1tLYS5NevHixdWrVz///PPizvtbbrnFpWNB2SAAAiAgE4AQl2ngGARAAARsIJBIJH7729+m3hTBPUkPF7ch32APcenSJRlmSUlJ0iNQBjsAjA8EQGDQEoAQH7RTi4GBAAhoJBAOh7du3Tpr1qxx48YNHz68pKTk+uuv/93vfoff8OUxKbFYbNKkSSNGjBg7duz9998PFZ4HQ5wCAiBgJgEIcTPnBVWBAAiAAAiAAAiAAAgMcgIQ4oN8gjE8EAABEAABEAABEAABMwlAiJs5L6gKBEAABEAABEAABEBgkBMYbEL8m2++OXHiBIGBAAiAAAiAAAiAAAiAgFYCJ06c4H+BmGawwSbET5w48fXXX2tljuQ2EDh16pQNURACBECgAAL4GBYAD6eCgD0E8DG0h6O+KF9//fWJEydoZhtsQpyjzjxetLiAQCgU8vl8oVDIBbWiRBAYpATwMRykE4thuYkAPoZumq0MtRJmGRp/ckOIK+CgSQ+BSCRy+fLlSCSiJz2yggAIUIqPId4FIKCdAD6G2qeg8AIIM0UcCHEFHDSBAAiAAAiAAAiAAAiAQJ4ECDPFyRDiCjho0kMgkUhEo9FEIqEnPbKCAAhQio8h3gUgoJ0APobap6DwAggzRRwIcQUcNOkhgLvi9HBHVhCQCOBjKMHAIQjoIYCPoR7utmYlzBQhIcQVcNCkhwCWHj3ckRUEJAL4GEowcAgCegjgY6iHu61ZCTNFSAhxBRw06SGApUcPd2QFAYkAPoYSDByCgB4C+Bjq4W5rVsJMERJCXAEHTXoIYOnRwx1ZQUAigI+hBAOHIKCHAD6GerjbmpUwU4SEEFfAQZMeAlh69HBHVhCQCOBjKMHAIQjoIYCPoR7utmYlzBQhIcQVcNCkh0DiiulJj6wgAALsqSn8gwgYIAACughc2QzxDDFdM2BDXsJMEQhCXAEHTSAAAiAAAiAAAiAAAiCQJwHCTHEyhLgCDpr0EAiHwxcvXgyHw3rSIysIgACl+BjiXQAC2gngY6h9CgovgDBTxIEQV8BBkx4CuCtOD3dkBQGJAD6GEgwcgoAeAvgY6uFua1bCTBESQlwBB016CGDp0cMdWUFAIoCPoQQDhyCghwA+hnq425qVMFOEhBBXwEGTHgJYevRwR1YQkAjgYyjBwCEI6CGAj6Ee7rZmJcwUISHEFXDQpIcAlh493JEVBCQC+BhKMHAIAnoI4GOoh7utWQkzRUjnhHg8Ht+8efPEiRNLS0snT568ZcuWRCL9E3n27t07derUESNGVFdX79y5U1F9ahMbL0n1w+MiArFYrLe3NxaLuahmlAoCg4wAPoaDbEIxHDcSwMfQjbOWVDNhluSUXzonxFetWmVZ1tKlS//1r3+98847Y8eOXbVqlVwKPz548KDH41m1atXRo0eXLl1qWda+fftSu2XyEGaZWuEHARAAARAAARAAARAAAWcIEGaKXA4J8c7OzmHDhv3+978XpRw+fNjr9dbU1AgPP6iurp43b55wzp8/f+LEieLlVQ8Is6t2QweTCeAagMmzg9qGCAF8DIfIRGOYJhPAx9Dk2cmyNsJM0dkhIX7ixAnLsj755BNRSn9/v2VZb731lvBQSpuamizL2r9/v3AePHjQsqwLFy4Ij/qAMFP3QavhBHBXnOEThPKGAgF8DIfCLGOMhhPAx9DwCcqmPMJM0dMhIV5XV2dZ1tatW0UpZ8+etSzrueeeEx5K6eHDhy3LOn36tHCeOXPGsqxPP/1UeNQHhJm6D1oNJ4Clx/AJ0lVeIpEIutMGBgZ63GZtbW0nT55sa2tzV+EDAwNufI9k+sWUrs8a8hpCALuhIRNRSBmEmSKCQ0KcUnrnnXdWVlZ+9NFHfr//zJkzt912W2lp6TPPPCMX98EHH1iWVV9fL5z19fWWZb3//vvCoz4gzEKSRSIRSmk8Hpd8Px3yOOFwWPbzHwjGYjHZyf/EYyKRkJ2hUIgvnZFIRPZHo1FKadoIlFK5ZygUisfjlNK0ETIVnDZCNBqV/XkMOW2ETEPOHlp+Q+7t7T137pzf7+dzJA9NQEtbcCZoaQtOG6HwIWeKkHaWi/c+SRoyf6elHXJO0NIW7NiQ+/r67oKBwGAkEAwG03648ltCxZrpxiW0kCGLv8csCPADuxbAtEtopgUwaRHOT13w3bC3tzcUChVbXSQVbBe0tG/sTNAc3iideZ8wWap6iIhzQry9vf2RRx6xmI0ZM2bHjh033nhj0hXxffv2WZbV0NDAlw9KKb+ULt+sIprSHhBCTp065ZOspaWFi13J99MhP72pqUn2c/HX09MjO5ubm7mUl50+n49/ri5duiT7u7u7KaWBQEB2NjY28nQ1NTWyn68ara2tsrOjo4NSOjAwIDvr6up4hLq6Otk/MDBAKe3o6JCdra2tlP2FatkpbsdvbGyU/YFAgFLa3d0tOy9dusS/TshOn8/HP5nNzc2yv6enh1Lq9/tlZ1NTEy9Ydvp8Pv4loaWlRfZ3dnZSSvv7+7nz/Pnzp06dqq2t5REuXLggdw4Gg5TS9vZ22dnW1saXb9kpIjQ0NMj+vr4+SmlXV5fsvHz5MqU0Go3KTp/Px79uXbx4Ufb39vZSSnt7e2XnxYsXKaWJREJ2+nw+vnpevnxZ9nd1dVFK+/r6ZKd459fW1sp+/r2xra1Ndra3t1NKg8Gg7BQ3cdXX18v+/v5+SmlnZ6fsdN1Ho7m5eTBqMIwJBO4KBoPYNQrZNfjKJq7iDZpdg++G58+f9/l82DX4LLtOUJ08eZIQM4Q4F1Vcu4TD4Wg0OmzYsHXr1nE//+9nn31mWdaZM2eEk9+acvjwYeFRHxBm8recPC4P4wsch5bpO2vS92bFF/38rm34/f76+nr+DSFThLRXJnK6uJs2QuFDzhTB4S/6SXM0OK5tiCviNWsXNK5/0kX/a1i3oGbtE/ifAwQa1rnpvVGzdgH/FoIr4qFQSH09O+0SmrTmqyOkXfOTIqj/tTxthExrftIirNgoM0WIRCJ8N/T7/bgiLnSdepazeZ+IWRYx+YFdG2XS+4TrUoV2de6K+P79+8+ePStKIYRYlvXxxx8LD6WU34hy8OBB4eQ/1uTXGoVTcUCYKTqgCQRAwKUEgsEgVy2N659s3fDf+B8IuJ1A4/onhRB36acSZYMACKgJEGaKPs4J8WnTpj3xxBOilAULFowZM0Zc9RT+m266af78+eLl/Pnzq6urxcurHhBmV+2GDiYTSFwxk4tEbc4TgBB3u+5E/UkEIMSdX0bclfHKZpj+rx+6ayxDtlrCTDF854T4u+++6/F4XnnllS+++GLJkiU/3iv+zjvv8NupT548ye8SppTu3r3bsqxly5YdOXJk2bJllmUdOHBAMYCkJjZe1b04Sf3x0kAC+J24gZNiQkkQ4kkyDi/dTgBC3ISFxeQasBuaPDtZ1kaYKTo7J8QppVu2bJk4cWJZWdmtt976wQcf8LKOHz9uWdbu3btFldu3b580aVJpaemUKVP27Nkj/NkcEGbZ9EQfYwlg6TF2avQWBiHudt2J+pMIQIjrXVLMz47d0Pw5umqFhJmim6NCXFGHXU1svLgibhdOPXGw9OjhbnxWCPEkGYeXbicAIW78qqO5QOyGmifAjvSEmSIShLgCDpr0EMDSo4e78VkhxN2uO1F/EgEIceNXHc0FYjfUPAF2pCfMFJEgxBVw0KSHAJYePdyNzwohniTj8NLtBCDEjV91NBeI3VDzBNiRnjBTRIIQV8BBkx4CiUQiGo3ibz7roW9wVghxt+tO1J9EAELc4PXGiNKwGxoxDYUVQZgpYkCIK+CgCQRAwCACEOJJMg4v3U4AQtyg9QWlgEBxCBBmitgQ4go4aNJDIBKJXL58mf91Tz0VIKuRBCDE3a47UX8SAQhxI1cag4rCbmjQZORbCmGmOBtCXAEHTXoI4K44PdyNzwohniTj8NLtBCDEjV91NBeI3VDzBNiRnjBTRIIQV8BBkx4CWHr0cDc+K4S423Un6k8iACFu/KqjuUDshponwI70hJkiEoS4Ag6a9BDA0qOHu/FZIcSTZBxeup0AhLjxq47mArEbap4AO9ITZopIEOIKOGjSQwBLjx7uxmeFEHe77kT9SQQgxI1fdTQXiN1Q8wTYkZ4wU0SCEFfAQZMeAtFotKurKxqN6kmPrKYSgBBPknF46XYCEOKmLjam1IXd0JSZKKAOwkwRAEJcAQdNIAACBhGAEHe77kT9SQQgxA1aX1AKCBSHAGGmiA0hroCDJj0EYrFYX19fLBbTkx5ZTSUAIZ4k4/DS7QQgxE1dbEypC7uhKTNRQB2EmSIAhLgCDpr0EMBdcXq4G58VQtztuhP1JxGAEDd+1dFcIHZDzRNgR3rCTBEJQlwBB016CGDp0cPd+KwQ4kkyDi/dTgBC3PhVR3OB2A01T4Ad6QkzRSQIcQUcNOkhgKVHD3fjs0KIu113ov4kAhDixq86mgvEbqh5AuxIT5gpIkGIK+CgSQ8BLD16uBufFUI8ScbhpdsJQIgbv+poLhC7oeYJsCM9YaaIBCGugIMmPQTC4XBDQ0M4HNaTHllNJQAh7nbdifqTCECIm7rYmFIXdkNTZqKAOggzRQAIcQUcNIEACBhEAEI8ScbhpdsJQIgbtL6gFBAoDgHCTBEbQlwBB00gAAIGEYAQd7vuRP1JBCDEDVpfUAoIFIcAYaaIDSGugIMmPQRCoVBtbW0oFNKTHllNJQAhniTj8NLtBCDETV1sTKkLu6EpM1FAHYSZIgCEuAIOmvQQwM9T9HA3PiuEuNt1J+pPIgAhbvyqo7lA7IaaJ8CO9ISZIhKEuAIOmvQQwNKjh7vxWSHEk2QcXrqdAIS48auO5gKxG2qeADvSE2aKSBDiCjho0kMAS48e7sZnhRB3u+5E/UkEIMSNX3U0F4jdUPME2JGeMFNEghBXwEGTHgJYevRwNz4rhHiSjMNLtxOAEDd+1dFcIHZDzRNgR3rCTBEJQlwBB016CMTj8VAoFI/H9aRHVlMJQIi7XXei/iQCEOKmLjam1IXd0JSZKKAOwkwRAEJcAQdNIAACBhGAEE+ScXjpdgIQ4gatLygFBIpDgDBTxIYQV8BBkx4CkUikra0tEonoSY+sphKAEHe77kT9SQQgxE1dbEypC7uhKTNRQB2EmSIAhLgCDpr0EMBdcXq4G58VQjxJxuGl2wlAiBu/6mguELuh5gmwIz1hpogEIa6AgyY9BLD06OFufFYIcbfrTtSfRABC3PhVR3OB2A01T4Ad6QkzRSQIcQUcNOkhgKVHD3fjs0KIJ8k4vHQ7AQhx41cdzQViN9Q8AXakJ8wUkSDEFXDQpIcAlh493I3PCiHudt2J+pMIQIgbv+poLhC7oeYJsCM9YaaIBCGugIMmPQSi0Wh7e3s0GtWTHllNJQAhniTj8NLtBCDETV1sTKkLu6EpM1FAHYSZIgCEuAKOoMmvAAAgAElEQVQOmkAABAwiACHudt2J+pMIQIgbtL6gFBAoDgHCTBEbQlwBB016CMTj8WAwiD/oo4e+wVkhxJNkHF66nQCEuMHrjRGlYTc0YhoKK4IwU8SAEFfAQZMeArgrTg9347NCiLtdd6L+JAIQ4savOpoLxG6oeQLsSE+YKSJBiCvgoEkPASw9ergbnxVCPEnG4aXbCUCIG7/qaC4Qu6HmCbAjPWGmiAQhroCDJj0EsPTo4W58Vghxt+tO1J9EAELc+FVHc4HYDTVPgB3pCTNFJAhxBRw06SGApUcPd+OzQognyTi8dDsBCHHjVx3NBWI31DwBdqQnzBSRIMQVcNCkh0AoFLpw4UIoFNKTHllNJQAh7nbdifqTCECIm7rYmFIXdkNTZqKAOggzRQAIcQUcNIEACBhEAEI8ScbhpdsJQIgbtL6gFBAoDgHCTBEbQlwBB00gAAIGEYAQd7vuRP1JBCDEDVpfUAoIFIcAYaaIDSGugIMmPQTC4XB9fX04HNaTHllNJQAhniTj8NLtBCDETV1sTKkLu6EpM1FAHYSZIoCjQnzHjh1Tp04tKyu7+eabt23blkgkUiurqamx/tMmT56c2i2ThzDL1Aq/Kwjg5ymumCbni4QQd7vuRP1JBCDEnV9G3JURu6G75itttYRZ2ibudE6I79y507Ks55577tixY2vXrvV4PJs3b06tbP/+/ZZlHT9+/OQVO3v2bGq3TB7CLFMr/K4ggKXHFdPkfJEQ4kkyDi/dTgBC3PllxF0ZsRu6a77SVkuYpW3iTueE+MyZM++8805RyuOPP15VVSVeioM1a9ak9YsO6gPCTN0HrYYTwNJj+ATpKg9C3O26E/UnEYAQ17WYuCUvdkO3zJSiTsJM0cE5IT5jxowHH3xQlLJixYpRo0aJl+Jg9uzZc+fOFS9zPSDMcj0L/Y0igKXHqOkwpxgI8SQZh5duJwAhbs7yYmYl2A3NnJecqiLMFKc4J8T37t07fPjwvXv3+v3+o0ePlpeXL1++PLWy8ePH33PPPXfccUdpaen48ePXrFkTiURSu2XyEGaZWuF3BYF4PN7f3x+Px11RLYp0jACEuNt1J+pPIgAh7tjq4dJE2A1dOnFy2YSZ7Ek6dk6Ih8PhRYsWid9hzp49O1Vht7e3W5Y1YcKEPXv2fPnll2vXri0pKVmwYEFS0YqXhFlIMp4lHo9Lvp8OeZAfq5L9sViMUhqLxWQnf3xHIpGQnaFQiP/YNBKJyP5oNJopAqVU7hkKhbjWTBshU8FpI0SjUdmfx5DTRsg05OyhFTJk8dQUeWgCWtqCM0FLW3DaCIUPOVOEtLOc9p1WCLRMb2z+Tks75JygpS3YsSH39fXdxaxx/ZNJggYvQcCNBGQhnvbDZctq4K4ltJAhY9cQc52HukjaKAfHrsElWaZtTuDiB3YNOWmr5bqUa860/3VOiM+ePbu8vPz111//8ssvt27dWllZ+cgjjyQ9OCUYDH7++eeXLl0StW7YsMGyrJqaGuFRHxBCTp065ZOspaWFUhqJRCTfT4c8TlNTk+z3+/2U0p6eHtnZ3NxMKY3H47LT5/Nx1X7p0iXZ393dTSkNBAKys7GxkaerqamR/XzVaG1tlZ0dHR2U0oGBAdlZV1fHI9TV1cn+gYEBSmlHR4fsbG1tpZSGw2HZKRg2NjbK/kAgQCnt7u6WnXwKYrGY7PT5fPxt2tzcLPt7enoopX6/X3Y2NTXxgmWnz+fjXxJaWlpkf2dnJ6W0v7+fO3/44YczZ85cuHCBR7hw4YLcORgMUkrb29tlZ1tbG1++ZWdtbS2P0NDQIPv7+voopV1dXbLz8uXLlNJoNCo7fT4ff4tevHhR9vf29lJKe3t7ZefFixcppYlEQnb6fD6+EFy+fFn2d3V1UUr7+vpkZ0NDAy+4trZW9nN53dbWJjvb29sppcFgUHYKaPX19bK/v7+fUtrZ2Sk7XffRaG5uhhB3o9xEzZkIyEIcu0YhuwZf2err6wfZrsF3wx9++MHn82HX4LPsOkF18uRJQgh/Z6b9r0NC/MSJE5Zl7dy5UxTx2WefWZb16aefCk/ag++//96yrP3796dtTXUSZvK3nDwuD6e9MuHYZT8TvsBxaJmGnPS9WfHPCPld2+jt7T137hz/UpQpQtI3zjxmOW2EwoecKQKuiBf+j0W4Ip5Jz8HvUgKyEE+772RaANOuJ3ov++ndNfimP/iuiPPdsLe3NxQKFb6EqtVF0s5u1+XhtG9sQzZKWSsW79/buS5N1avC45AQ/+CDD5IubPf19VmWtXHjRlEKpbS2tvadd97h12i5/5tvvrEs6/PPP5e7KY4JM0UHNJlPAD9PMX+OtFSIe8RdKjdRdiYCshDX8plCUsMJYDc0fIKyKY8wU/R0SIifOXPGsqx3331XlHL06FHLsg4cOCA8lNJjx45ZlrVr1y7hXLly5ahRo/jND8KpOCDMFB3QZD4BLD3mz5GWCiHEM+k5+F1KAEJcy0rioqTYDV00WZlKJcwytVJKHRLiP96f+thjj5WXl2/cuPH48ePbtm0bO3bsjBkzIpFIIBA4efIkv0s4FovNmjWroqJi69at//73v1euXOnxeN544w3FAJKa2HhV9+Ik9cdLAwlg6TFwUkwoCULcpXITZWciACFuwsJicg3YDU2enSxrI8wUnZ0T4uFweO3atVVVVSUlJZMmTfrTn/7EfzN3/Phxy7J2797Nq/T7/atWraqqqiotLZ06deqOHTsU1ac2EWapfnhcRCASibS0tPA7Dl1UNkotNgEI8Ux6Dn6XEoAQL/ai4fb42A3dPoOUUsJMMRDnhLiiCBub2HhxRdxGoggFAqYQgBB3qdxE2ZkIQIibsrigDhAoGgHCTBEeQlwBB016CMTj8Ugkwn+yracCZDWSAIR4Jj0Hv0sJQIgbudIYVBR2Q4MmI99SCDPF2RDiCjho0kMAd8Xp4W58Vghxl8pNlJ2JAIS48auO5gKxG2qeADvSE2aKSBDiCjho0kMAS48e7sZnhRDPpOfgdykBCHHjVx3NBWI31DwBdqQnzBSRIMQVcNCkhwCWHj3cjc8KIe5SuYmyMxGAEDd+1dFcIHZDzRNgR3rCTBEJQlwBB016CGDp0cPd+KwQ4pn0HPwuJQAhbvyqo7lA7IaaJ8CO9ISZIhKEuAIOmvQQwNKjh7vxWSHEXSo3UXYmAhDixq86mgvEbqh5AuxIT5gpIkGIK+CgCQRAwCACEOKZ9Bz8LiUAIW7Q+oJSQKA4BAgzRWwIcQUcNIEACBhEAELcpXITZWciACFu0PqCUkCgOAQIM0VsCHEFHDTpIRAOh5uamsLhsJ70yGoqAQjxTHoOfpcSgBA3dbExpS7shqbMRAF1EGaKABDiCjho0kMAd8Xp4W58Vghxl8pNlJ2JAIS48auO5gKxG2qeADvSE2aKSBDiCjho0kMAS48e7sZnhRDPpOfgdykBCHHjVx3NBWI31DwBdqQnzBSRIMQVcNCkhwCWHj3cjc8KIe5SuYmyMxGAEDd+1dFcIHZDzRNgR3rCTBEJQlwBB016CGDp0cPd+KwQ4pn0HPwuJQAhbvyqo7lA7IaaJ8CO9ISZIhKEuAIOmvQQiMVifr8/FovpSY+sphKAEHep3ETZmQhAiJu62JhSF3ZDU2aigDoIM0UACHEFHDSBAAgYRABCPJOeg9+lBCDEDVpfUAoIFIcAYaaIDSGugIMmPQRisVhPTw+uiOuhb3BWCHGXyk2UnYkAhLjB640RpWE3NGIaCiuCMFPEgBBXwEGTHgK4K04Pd+OzQohn0nPwu5QAhLjxq47mArEbap4AO9ITZopIEOIKOGjSQwBLjx7uxmeFEHep3ETZmQhAiBu/6mguELuh5gmwIz1hpogEIa6AgyY9BLD06OFufFYI8Ux6Dn6XEoAQN37V0VwgdkPNE2BHesJMEQlCXAEHTXoIYOnRw934rBDiLpWbKDsTAQhx41cdzQViN9Q8AXakJ8wUkSDEFXDQpIdAOBxubm4Oh8N60iOrqQQgxDPpOfhdSgBC3NTFxpS6sBuaMhMF1EGYKQJAiCvgoAkEQMAgAhDiLpWbKDsTAQhxg9YXlAICxSFAmCliQ4gr4KBJD4FEIhGPxxOJhJ70yGoqAQjxTHoOfpcSgBA3dbExpS7shqbMRAF1EGaKABDiCjho0kMAd8Xp4W58Vghxl8pNlJ2JAIS48auO5gKxG2qeADvSE2aKSBDiCjho0kMAS48e7sZnhRDPpOfgdykBCHHjVx3NBWI31DwBdqQnzBSRIMQVcNCkhwCWHj3cjc8KIe5SuYmyMxGAEDd+1dFcIHZDzRNgR3rCTBEJQlwBB016CGDp0cPd+KwQ4pn0HPwuJQAhbvyqo7lA7IaaJ8CO9ISZIhKEuAIOmvQQwNKjh7vxWSHEXSo3UXYmAhDixq86mgvEbqh5AuxIT5gpIkGIK+CgSQ+BRCIRi8Xw1BQ99A3OCiGeSc/B71ICEOIGrzdGlIbd0IhpKKwIwkwRA0JcAQdNIAACBhGAEHep3ETZmQhAiBu0vqAUECgOAcJMERtCXAEHTXoIRCKRS5cuRSIRPemR1VQCEOKZ9Bz8LiUAIW7qYmNKXdgNTZmJAuogzBQBIMQVcNCkhwDuitPD3fisEOIulZsoOxMBCHHjVx3NBWI31DwBdqQnzBSRIMQVcNCkhwCWHj3cjc8KIZ5Jz8HvUgIQ4savOpoLxG6oeQLsSE+YKSJBiCvgoEkPASw9ergbnxVC3KVyE2VnIgAhbvyqo7lA7IaaJ8CO9ISZIhKEuAIOmvQQwNKjh7vxWSHEM+k5+F1KAELc+FVHc4HYDTVPgB3pCTNFJAhxBRw06SEQjUa7u7uj0aie9MhqKgEIcZfKTZSdiQCEuKmLjSl1YTc0ZSYKqIMwUwSAEFfAQRMIgIBBBCDEM+k5+F1KAELcoPUFpYBAcQgQZorYEOIKOGjSQyAWiwUCgVgspic9sppKAELcpXITZWciACFu6mJjSl3YDU2ZiQLqIMwUASDEFXDQpIcA7orTw934rBDimfQc/C4lACFu/KqjuUDshponwI70hJkiEoS4Ag6a9BDA0qOHu/FZIcRdKjdRdiYCEOLGrzqaC8RuqHkC7EhPmCkiQYgr4KBJDwEsPXq4G58VQjyTnoPfpQQgxI1fdTQXiN1Q8wTYkZ4wU0SCEFfAQZMeAlh69HA3PiuEuEvlJsrORABC3PhVR3OB2A01T4Ad6QkzRSQIcQUcNOkhEA6HGxsbw+GwnvTIaioBCPFMeg5+lxKAEDd1sTGlLuyGpsxEAXUQZooAjgrxHTt2TJ06tays7Oabb962bVsikUhb2d69e6dOnTpixIjq6uqdO3em7ZPJSZhlaoUfBEDAvQQgxF0qN1F2JgIQ4u5djlA5CGRJgDBTdHZOiO/cudOyrOeee+7YsWNr1671eDybN29OrezgwYMej2fVqlVHjx5dunSpZVn79u1L7ZbJQ5hlaoUfBEDAvQQgxDPpOfhdSgBC3L3LESoHgSwJEGaKzs4J8ZkzZ955552ilMcff7yqqkq8FAfV1dXz5s0TL+fPnz9x4kTx8qoHhNlVu6GDyQRCoVBNTU0oFDK5SNTmPAEIcZfKTZSdiQCEuPPLiLsyYjd013ylrZYwS9vEnc4J8RkzZjz44IOilBUrVowaNUq85AdNTU2WZe3fv1/4Dx48aFnWhQsXhEd9QJip+6DVcAL4eYrhE6SrPAjxTHoOfpcSgBDXtZi4JS92Q7fMlKJOwkzRwTkhvnfv3uHDh+/du9fv9x89erS8vHz58uVJlR0+fNiyrNOnTwv/mTNnLMv69NNPhUd9QJip+6DVcAJYegyfIF3lCSH+/Z8fr1n7BP5XVAK+vzzu+ws4F/dt9v2fH7+LWTAY1PWxQl6TCWA3NHl2sqyNMFN0dk6Ih8PhRYsWWVds9uzZkUgkqbIPPvjAsqz6+nrhr6+vtyzr/fffFx71AWEWkoxnicfjku+nQx7nx6pkP/+z6rFYTHbyx3ckEgnZGQqF+I9NI5GI7I9Go5TStBEopXLPUCgUj8cppWkjZCo4bYRoNCr78xhy2giZhpw9tPyG3Nvbe+7cOb/fz+dIHpqAlrbgTNDSFpw2QuFDzhQh7SwX732SNGT+Tks75JygpS3YsSH39fVx1YL/gsAgIxAMBtN+uPJbQsWa6cYltJAhi2dtCQL8wK4FMO0SmmkBTFqE81MXfDfs7e0NhULFVhdJBdsFLe0bOxM0hzdKZ94nTJYS/mFM+1/nhPjs2bPLy8tff/31L7/8cuvWrZWVlY888kjSg1P27dtnWVZDQ4Oota6uLulmFdGU9oAQcurUKZ9kLS0tXOxKvp8O+elNTU2yn4u/np4e2dnc3EwpjcfjstPn8/HP1aVLl2R/d3c3pTQQCMjOxsZGnq6mpkb281WjtbVVdnZ0dFBKBwYGZGddXR2PUFdXJ/sHBgYopR0dHbKztbWVUhoOh2VnTU0Nj9DY2Cj7A4EApbS7u1t2Xrp0iX+dkJ0+n49/Mpubm2V/T08PpdTv98vOpqYmnk52+nw+/iWhpaVF9nd2dlJK+/v7ufP8+fOnTp2qra3lES5cuCB35peO2tvbZWdbWxtfvmWniNDQ0CD7+/r6KKVdXV2y8/Lly5TSaDQqO30+H3+LXrx4Ufb39vZSSnt7e2XnxYsXKaWJREJ2+nw+vnpevnxZ9nd1dVFK+/r6ZKd459fW1sp+/r2xra1Ndra3t1NKg8Gg7BQ3cdXX18v+/v5+SmlnZ6fsdN1Ho7m5eZDJLwwHBDiBYDCIXaOQXYOvbOIq3qDZNfhueP78eZ/Ph12Dz7LrBNXJkycJMUCInzhxwrIs+VmEn332Weo9J9x55swZrsAopfzWlMOHDwuP+oAwk7/l5HF5GF/gOLRM31mTvjcrvujnd21jYGDA7/eLf6uVZxNXxAUNru+zvJ49OK5tRCKRYDDY1dXV9p/Ww+w/fW1dXV09PT2dnZ2yv6Ojo6enJ1OE9vZ2uXNnZ2emCN3d3XLPtra27u7unp6ebCK0t7crCu7o6JAj8xqSClZHsGXITU1NXCA2NDRwaIUPOVOEtENOGoV6yGkjJEFra2vj2JPmqEjvE15wlkPu6+tLJBJp9538llCxSlBm4iU/sGs1KNLl4UKGPPiuiPPdcGBgAFfExdtYPctpr6ln2ihFzKJ+NAgz/mFM+1+Hrojze07ERVl+LdCyrI0bN8pl8RtRDh48KJz8x5r8WqNwKg4IM0UHNIEACIAACKgJiNvxxfdhdX+0ggAIgAAIpCVAmKVt4k6HhDi/sP3uu++KUo4ePWpZ1oEDB4SHH9x0003z588Xzvnz51dXV4uXVz0gzK7aDR1MJhCJRFpbWyMpPyEwuWbUBgKDiYAQ4vzWtcE0NIwFBFxEALuhiyYrU6mEWaZWSqlDQvzH+1Mfe+yx8vLyjRs3Hj9+fNu2bWPHjp0xY0YkEgkEAidPnuR3CVNKd+/ebVnWsmXLjhw5smzZsrRiXTGeqw5YcS6aDCGA34kbMhEoY8gSEEKc/xxiyHLAwEFALwHshnr525KdMFOEck6Ih8PhtWvXVlVVlZSUTJo06U9/+hP/zdzx48cty9q9e7eocvv27ZMmTSotLZ0yZcqePXuEP5sDwiybnuhjLAEsPcZODQobIgQgxIfIRGOYhhPAbmj4BGVTHmGm6OmcEFcUYWMTG6/q16k25kKoIhHA0lMksAgLAlkSgBDPEhS6gUBRCWA3LCpeZ4ITZopcEOIKOGjSQwBLjx7uyAoCVwhAiF8hgf8HAZ0EsBvqpG9TbsJMEQxCXAEHTXoIRKPRjo4O/ng+PRUgKwgMbQJCiPMbCIc2DIweBLQRwG6oDb19iQkzRTwIcQUcNIEACIDAUCQghDgeXzgUpx9jBgEQsI8AYaaIByGugIMmPQTi8fjAwAD/qxN6KkBWEBjaBIQQ53+TdWjDwOhBQBsB7Iba0NuXmDBTxIMQV8BBkx4CuCtOD3dkBYErBIQQx+MLryDB/4OABgLYDTVAtzslYaaICiGugIMmPQSw9OjhjqwgcIUAhPgVEvh/ENBJALuhTvo25SbMFMEgxBVw0KSHAJYePdyRFQSuEIAQv0IC/w8COglgN9RJ36bchJkiGIS4Ag6a9BDA0qOHO7KCwBUCEOJXSOD/QUAnAeyGOunblJswUwSDEFfAQZMeAqFQqK6uLhQK6UmPrCAw5AlAiA/5twAAGEEAu6ER01BYEYSZIgaEuAIOmkAABEBgKBIQQhyPLxyK048xgwAI2EeAMFPEy0eId3V1GftT+qsOWMECTSAAAiAAApRSCHG8DUAABEDAFgKEmSJUtkL88OHDS5Ysqa6uHj58uJfZyJEjp0yZsnr16q+++kqRwOEmNl7icFKks5cA/jHOXp6IBgK5EhBC3NhrLrmOCP1BwI0EsBu6cdaSaibMkpzyy6sL8b17906bNs3r9Q4bNqy6uvqBBx5YsGDBvHnz7rnnnptuusnj8Xi93unTpx88eFCOq+uYMNOVHXltIYCfp9iCEUFAIG8CEOJ5o8OJIGAjAeyGNsLUFYowU2RXCfGmpqZ77723tLR0zpw5e/bsCQQCqYHa2tr27dt33333eb3eu+++u7GxMbWPkx7CzMmMyGU7ASw9tiNFQBDIiQCEeE640BkEikQAu2GRwDoZljBTZFQJ8YqKiiVLlrS0tCjOF00NDQ1PPvnkqFGjhEfLAWGmJTWS2kUAS49dJBEHBPIjACGeHzecBQL2EsBuaC9PLdEIM0VqlRA/e/as4sy0TWfOnEnrd8xJmDmWDomKQQBLTzGoIiYIZE8AQjx7VugJAsUjgN2weGwdi0yYKdKphLjiNGOb2HjxY01j5yerwuLx+MDAQDwez6o3OoEACNhNQAjx/v5+u2MjHgiAQLYEsBtmS8rgfoSZosDchHhrayuP1djY+Kc//enFF1/UflN40tjYeCHEk6jgJQiAAAjkQEAIcTxHPAdq6AoCIAACKQQIsxT3/3dkK8R7enpmzpx52223UUp7e3vHjx/vYVZZWVlXV/f/4+k+Isx0V4H8BRGIRqMdHR3RaLSgKDgZBEAgXwJCiPf19eUbA+eBAAgUSgC7YaEEDTifMFMUkq0QX7lypdfrXb16NaX0r3/9q8fj2bhx4xdffDFhwoT//u//ViRwuImNF1fEHaZuczrcFWczUIQDgRwJCCGO54jnSA7dQcBOAtgN7aSpKRZhpkierRC/6aablixZwgPNnj27srKS38K7fv366667TpHA4SbCzOGkSGcvASw99vJENBDIlQCEeK7E0B8EikEAu2ExqDockzBTJM1WiJeWlu7atYtSGg6Hy8rK5s6dy4Pu2rVrxIgRigQONxFmDidFOnsJYOmxlyeigUCuBCDEcyWG/iBQDALYDYtB1eGYhJkiabZC/Prrr3/zzTcppceOHfN4PNu2beNBX3zxxZ/97GeKBA43EWYOJ0U6ewlg6bGXJ6KBQK4EIMRzJYb+IFAMAtgNi0HV4ZiEmSJptkJ8zpw506ZNI4Tcc889w4YNa25uppR+++23Y8eOffzxxxUJHG5i48U94g5TtzldJBJpbW2NRCI2x0U4EACB7AgIIZ72DypnFwO9QAAECiWA3bBQggacT5gpCslWiH///ffXXHON1+v1eDyLFy8Wl8avueaa8+fPKxI43MTGCyHuMHWkAwEQGFQEhBDH4wsH1bxiMCAAAo4TIMwUabMV4pTSxsbGN95448CBA/xnms3NzUuWLKmtrVVEd76JjRdC3HnwdmaMx+PhcBh/0MdOpogFArkQEEIcf9AnF2zoCwI2E8BuaDNQHeEIM0XmHIS4Ioo5TWy8EOLmTEg+leCuuHyo4RwQsI+AEOJ4fKF9UBEJBHImgN0wZ2TmnUCYKepSCfH/zdoUCRxuYuOFEHeYus3psPTYDBThQCBHAhDiOQJDdxAoCgHshkXB6mxQwkyRUyXEPR6PNztTJHC4iY0XQtxh6janw9JjM1CEA4EcCUCI5wgM3UGgKASwGxYFq7NBCTNFTpUQX7du3for9pe//GX06NGVlZUrV67csWPH9u3b//jHP1ZWVk6YMOHtt99WJHC4iY0XQtxh6janw9JjM1CEA4EcCUCI5wgM3UGgKASwGxYFq7NBCTNFTpUQl09bt27dhAkTWlpaZGdnZ2dVVRX/u/eyX+MxYaaxAKQunEAoFKqpqQmFQoWHQgQQAIE8CECI5wENp4CA7QSwG9qO1PmAhJkib7ZC/IYbbtiwYUNqoI0bN44fPz7Vr8tDmOnKjrwgAAIgMAgICCGOxxcOgtnEEEAABDQSIMwUBWQrxMvLy996663UQJs2bRo1alSqX5eHMNOVHXlBAARAYBAQgBAfBJOIIYAACJhAgDBTVJKtEL/99ttvueWWcDgsx/L7/RMnTpw1a5bs1HtMmOmtAdkLJBAOhxsbG5PebAXGxOkgAALZExBC3O/3Z38WeoIACNhLALuhvTy1RCPMFKmzFeL//Oc/PR7P5MmTt2zZ8umnn37yyScbN2684YYbhg8f/sUXXygSONzExosfazpM3eZ0+HmKzUARDgRyJCCEOJ4jniM5dAcBOwlgN7STpqZYhJkiebZCnFK6ffv20aNHi2caejyeysrKAwcOKKI738TGCyHuPHg7M2LpsZMmYoFA7gQgxHNnhjNAwH4C2A3tZ+p4RMJMkTYHIU4p7evr++ijj95g9vHHHxv4O56rDljBAk2GEMDSY8hEoIwhSwBCfMhOPQZuFAHshkZNR37FEGaKc3MT4opAhjSx8eKKuCGzkWcZWHryBIfTQMAmAhDiNoFEGBAoiAB2w4LwmXEyYaaoJQchHggEdu7cuWHDhit/5Of//f/LL7+sSOBwExsvhLjD1G1OF4vFAoFALBazOS7CgQAIZEdACPG+vr7szkAvEGFiy1EAACAASURBVAAB+wlgN7SfqeMRCTNF2myFOCFkzJgxXq/Xk2Jer1eRwOEmNl4IcYepIx0IgMCgIiCEuIH3Hw4q0BgMCIDAYCdAmClGma0Qnz17dmlp6YYNG/71r399mWKKBA43sfFCiDtM3eZ00Wi0u7s7Go3aHBfhQAAEsiMghDiuiGcHDL1AoCgEsBsWBauzQQkzRc5shXh5efmf//xnRSBDmth4IcQNmY08y8BdcXmCw2kgYBMBIcTx+EKbiCIMCORDALthPtQMO4cwUxSVrRCvqKjYsWOHIpC66fjx41Y6W79+fdKJNTU1SR0nT56c1EfxkjBTdECT+QSw9Jg/R6hwcBOAEB/c84vRuYUAdkO3zJSiTsJM0SFbIf7AAw889dRTikDqpkAgcPI/7b777hs9evSFCxeSTty/f79lWcePHxfdz549m9RH8ZIwU3RAk/kEsPSYP0eocHATgBAf3POL0bmFAHZDt8yUok7CTNEhWyF+7ty5MWPGvPHGG21tbYpwWTYdOnTIsqwPP/wwtf+aNWuqqqpS/Vl6CLMsO6ObmQSw9Jg5L6hq6BCAEB86c42RmkwAu6HJs5NlbYSZonO2Qnz69Oljx471prNhw4YpEqQ2BYPBG2+88aGHHkptopTOnj177ty5aZuycRJm2fREH2MJRCKRS5cuRSIRYytEYSAwuAkIIR4IBAb3SDE6EDCZAHZDk2cny9oIM0XnbIX4LKUpEqQ2vfrqq8OGDauvr09topSOHz/+nnvuueOOO0pLS8ePH79mzZqcBBlhljYynCAAAiAAAtkQEEIcjy/MBhf6gAAIgEAmAoRZplZKabZCXBEip6ZwODx+/Pgnn3wy7Vnt7e2WZU2YMGHPnj1ffvnl2rVrS0pKFixYkLZzWidhFpKM6/h4PC75fjrkp4fDYdnP/4hMLBaTneFwmFKaSCRkZygUSiQSlNJIJCL7+UP30kaglMo9Q6FQPB7PFCFTwWkjRKNR2Z/HkNNGyDTk7KHlN+RgMNjf3y/mSB6agJa24EzQ0hacNkLhQ84UweH3SdKQ+Tst7ZBzgpb2jW3IkN31Psnvo8HHyFekTBEKn+VoNNrb23sXs56eHr6eZJrlpHea+UtoUsH4aPA3ldt3Dcc+GvI648BHg++GwWAwFAoVW13go2HXapC0CHNdyjVn2v86LcT37dtnWVam318Gg8HPP//80qVLotYNGzZYllVTUyM86gNCyKlTp3yStbS0cLEr+X465HGamppkv9/vp5T29PTIzubmZkppPB6XnT6fj285ly5dkv3d3d2U0kAgIDsbGxt5upqaGtnPN9TW1lbZ2dHRQSkdGBiQnXV1dTxCXV2d7B8YGKCUdnR0yM7W1lZKaTgclp2CYWNjo+zn//Tc3d0tO/kUxGIx2enz+fjbtLm5Wfb39PRQSv1+v+xsamriBctOn8/HV66WlhbZ39nZSSnt7+/nzvPnz586daq2tpZHuHDhgtyZX6Jrb2+XnfynC/x2OuEXERoaGoTT5/PxRyN3dXXJzsuXL1NKo9Go7PT5fPzr1sWLF2U/f6Zbb2+v7Lx48SL/wiY7fT4fXz0vX74s+7u6uiilfX19srOhoYEPuba2Vvbz7yRtbW2ys729nVIaDAZlp/j1c319vezv7++nlHZ2dspOfDQ4DRd9NHjB4p8Ti/fROHPmDBfi3333HT4a4lPDP57YNQzcNRz7aIg3g8/nc+CjwXfD8+fP+3w+7BocvusE1cmTJwlRPVY7WyG+KLM988wzfHnK5r9z586dNm1aNj15n++//96yrP3792d5CmGW+p0Vl/3EBeakb73860TSFzi7vuhnumiX9vKwmKPe3t5z587xL0WZIqQtWEQQbwD+tnFyyJkuHKYdctoLzJmGnDZClkO264t+2oINGbKYdH5g15DTvtMyDTntOy0ttEJm2ckr4m1tbXatBpmgpX1j2w4t0wJo1/skbcGGDBkfDbtmuUirgeJ9wnfD3t5eXBEXb2P1Aph2Pcm0UYqYRd01uC7laiTtf7MV4il/2P4nh9frHTly5DXXXJM2dKozEomUlZWlPjtc9KytrX3nnXfknwd98803lmV9/vnnoo/6gDBT90Gr4QTwO3HDJwjlDXoC4h5x/EGfQT/XGKDJBLAbmjw7WdZGmCk6ZyvEL/6nNTQ0fP3114sXL77pppv4jRCKHKLp9OnTlmUdO3ZMeJIOjh07ZlnWrl27hH/lypWjRo3iNz8Ip+KAMFN0QJP5BLD0mD9HqHBwE4AQH9zzi9G5hQB2Q7fMlKJOwkzRIVshninEnDlznn766UytSf733nvPsqwk4c7/1g+/SzgWi82aNauiomLr1q3//ve/V65c6fF43njjjaQ4ipeEmaIDmswngKXH/DlChYObAIT44J5fjM4tBLAbumWmFHUSZooOhQrxHTt2jB07VpFAbtq0aZNlWeJePd50/Phxy7J2797NX/r9/lWrVlVVVZWWlk6dOnXHjh1yhKseE2ZX7YYOJhNIJBLxeJz/StLkOlEbCAxWAkKI85+DD9ZhYlwgYDgB7IaGT1A25RFmip6FCvGXX365rKxMkcDhJjZe1a9THa4H6UAABEDAdQSEEMdzxF03dygYBEDAKAKEmaKkbIV4c4rV1tbu27fvmmuuufvuuxUJHG5i44UQd5i6zenC4XBzc7P4ZbTN0REOBEDgagSEEBcPL7raGWgHARCwnwB2Q/uZOh6RMFOkzVaI82ekpP6F++HDhyt+fKlIXKQmNl4I8SLRdSgs7opzCDTSgEAGAkKI46kpGQjBDQJOEMBu6ATlIucgzBRJshXiCxcuXPSftnjx4pdeekk8WV2Rw8kmwszJjMhlOwEsPbYjRUAQyIkAhHhOuNAZBIpEALthkcA6GZYwU2TMVogrQhjVxMaLK+JGzUnOxWDpyRkZTgABWwlAiNuKE8FAIE8C2A3zBGfSaYSZoqLchHgikSCEHDx48OOPP/7+++8VcXU1sfFCiOvCb09eLD32cEQUEMiXAIR4vuRwHgjYSQC7oZ00NcUizBTJcxDiJ06cqK6ulm8Tr66u/uqrrxTRnW9i44UQdx68nRljsVhPT08sFrMzKGKBAAhkTUAI8b6+vqxPQkcQAAGbCWA3tBmojnCEmSJztkK8pqamvLy8tLR08eLFW7ZsefPNNxctWlRaWlpeXn7hwgVFAoeb2HghxB2mjnQgAAKDioAQ4nh84aCaVwwGBEDAcQKEmSJttkJ8wYIFo0ePrqmpkWPV1NRUVFQsXLhQduo9Jsz01oDsBRKIxWJ+vx9XxAvEiNNBIG8CQojjinjeDHEiCBROALth4Qy1RyDMFGVkK8SvvfbaNWvWpAb6n//5n+uvvz7Vr8tDmOnKjry2EMBdcbZgRBAQyJuAEOJ4fGHeDHEiCBROALth4Qy1RyDMFGVkK8RLSkq2b9+eGmj79u2lpaWpfl0ewkxXduS1hQCWHlswIggI5E0AQjxvdDgRBGwkgN3QRpi6QhFmiuzZCvGbbrrpmWeeSQ20aNGin//856l+XR7CTFd25LWFAJYeWzAiCAjkTQBCPG90OBEEbCSA3dBGmLpCEWaK7NkK8T/+8Y/Dhg3bs2ePHGv37t3Dhg1buXKl7NR7TJjprQHZCySApadAgDgdBAokACFeIECcDgK2EMBuaAtGvUEIM0UN2Qrx3t7eiRMner3e6urquXPnPvroo/xRhlVVVV1dXYoEDjex8eKpKQ5TtzldOBxuamoKh8M2x0U4EACB7AgIIe73+7M7A71AAATsJ4Dd0H6mjkckzBRpsxXilNKOjo5nnnlmzJgxHmYVFRWLFi1qb29XRHe+iY0XQtx58MgIAiAweAgIIY7HFw6eScVIQAAEdBAgzBSZcxDiPEoikejs7Ozo6EgkEoq4upoIM13ZkRcEQAAEBgEBCPFBMIkYAgiAgAkECDNFJbkJ8f7+/kOHDr3xxhtbtmw5cuRIJBJRhNbSxMaLK+Ja2NuWFHfF2YYSgUAgLwJCiOPxhXnxw0kgYA8B7Ib2cNQahTBTlJCDEN+5c+eYMWO8Xi+/NcXr9Y4fP/7QoUOK6M43sfFCiDsP3s6MWHrspIlYIJA7AQjx3JnhDBCwnwB2Q/uZOh6RMFOkzVaIHzp0yOPxVFVVvf7665988slHH3306quvTpgwoaSk5MSJE4oEDjex8UKIO0zd5nRYemwGinAgkCMBCPEcgaE7CBSFAHbDomB1NihhpsiZrRC//fbbp0yZ0t/fL8fij1KZPXu27NR7TJjprQHZCySApadAgDgdBAokACFeIECcDgK2EMBuaAtGvUEIM0UN2Qrx8vLyt956KzXQpk2bKioqUv26PISZruzIawsBLD22YEQQEMibAIR43uhwIgjYSAC7oY0wdYUizBTZsxXi11133SuvvJIaaNOmTddee22qX5eHMNOVHXltIRCPxyORSDwetyUagoAACORKQAjxpH8FzTUO+oMACBRCALthIfQMOZcwUxSTrRB/8cUXx40b19jYKMfq6en5+c9//uc//1l26j0mzPTWgOwgAAIg4GoCQojjOeKunkcUDwIgoJ0AYaYoI1sh/t5771VVVZWVlS1fvvztt9/etWvXCy+8cO2115aVla1du3b9FXv55ZcVyRxoYuPFjzUdIF3EFJFIpKWlxcCHYxZxzAgNAiYREEI8EAiYVBdqAYGhRQC74SCYb8JMMZBshTh/ZOFV/+v1ehXJHGhi44UQd4B0EVPgrrgiwkVoEMiCgBDieI54FrTQBQSKRQC7YbHIOhiXMFMkzFaIf5m1KZI50MTGCyHuAOkipsDSU0S4CA0CWRCAEM8CErqAQNEJYDcsOuLiJyDMFHmyFeKKEEY1sfFCiBs1JzkXg6UnZ2Q4AQRsJQAhbitOBAOBPAlgN8wTnEmnEWaKilRCfPXq1TndINjT07Nq1SpFMgea2HghxB0gXcQUWHqKCBehQSALAhDiWUBCFxAoOgHshkVHXPwEhJkij0qIP/TQQ+PGjdu8eXNHR4ciBKW0paVl/fr1lZWVDz74oLpnsVsJs2JnQfyiEohGo52dndFotKhZEBwEQCATASHE+/r6MvWBHwRAoNgEsBsWm7AD8QkzRSKVEKeU7tmzZ+zYscOHD7/vvvv+9re/nThxorOzMxKJhMPhlpaWr7/+etOmTbNnzx4+fHhlZeW7776ryORMExsvrog7AxtZQAAEBicBIcTx+MLBOcEYFQiAgFMECDNFtqsIcUppX1/f5s2bb7jhBo/H400xj8dz4403bty40ZALJ1cdsIIFmgwhEI/H+/v78Qd9DJkOlDEECQghjj/oMwRnH0M2hwB2Q3PmIu9KCDPF6VcX4vzkeDx+8uTJV199ddGiRQ899NCcOXOWLFny2muvnT59WhHd+SbCzPm8yGgjAdwVZyNMhAKBPAgIIY7HF+ZBD6eAgF0EsBvaRVJjHMJMUUC2QlwRwqgmNl7cmmLUnORcDJaenJHhBBCwlQCEuK04EQwE8iSA3TBPcCadRpgpKoIQV8BBkx4CWHr0cEdWELhCAEL8Cgn8PwjoJIDdUCd9m3ITZopgEOIKOGjSQwBLjx7uyAoCVwhAiF8hgf8HAZ0EsBvqpG9TbsJMEQxCXAEHTXoIhMPh+vr6cDisJz2ygsCQJyCEuN/vH/IwAAAEtBHAbqgNvX2JCTNFPAhxBRw0gQAIgMBQJCCEOB5fOBSnH2MGARCwjwBhpogHIa6AgyYQAAEQGIoEIMSH4qxjzCAAAkUgQJgpAkOIK+CgSQ+BUCh04cKFUCikJz2ygsCQJyCEOB5fOOTfCwCgkwB2Q530bcpNmCmC5SDEz507t2vXLh7rb3/727hx4yZMmPDWW28pojvfRJg5nxcZbSSAn6fYCBOhQCAPAhDieUDDKSBgOwHshrYjdT4gYabIm60QP3HiRElJyeTJkyml33//vdfrraysnDhxotfrPXDggCKBw01svHiOuMPUbU6HpcdmoAgHAjkSgBDPERi6g0BRCGA3LApWZ4MSZoqc2QrxOXPmTJgw4dtvv6WUrl692uv1njt3LhaLzZo16+6771YkcLiJjRdC3GHqNqfD0mMzUIQDgRwJQIjnCAzdQaAoBLAbFgWrs0EJM0XObIV4ZWXla6+9xgNNnz6dXxqnlG7btm306NGKBA43EWYOJ0U6ewlg6bGXJ6KBQK4EIMRzJYb+IFAMAtgNi0HV4ZiEmSJptkJ85MiRf//73yml7e3tHo9n2bJlPOj27dtHjRqlSMCbjh8/bqWz9evXp567d+/eqVOnjhgxorq6eufOnakdFB7CTNEBTeYTiMfjwWAwHo+bXyoqBIFBSUAI8f7+/kE5QAwKBFxBALuhK6ZJXSRhpuiTrRC/+eab16xZQynduXOn1+s9dOgQD/rEE09MnTpVkYA3BQKBk/9p99133+jRoy9cuJB07sGDBz0ez6pVq44ePbp06VLLsvbt25fUR/GSMFN0QBMIgAAIgICagBDieI64GhRaQQAEQEBNgDBT9MlWiD///PNlZWUrVqwYO3ZsZWVlKBRqbW1dvny51+tNe1VbkZJSeujQIcuyPvzww9Ru1dXV8+bNE/758+dPnDhRvLzqAWF21W7oYDKBaDTa3t4ejUZNLhK1gcAgJiCEeF9f3yAeJoYGAoYTwG5o+ARlUx5hpuiZrRAPBoMPP/ywx+MZM2bMxx9/TCk9ceKEx+N54IEHBgYGFAlSm4LB4I033vjQQw+lNjU1NVmWtX//ftF08OBBy7JSL5yLDkkHhFmSEy/dRQB3xblrvlDt4CMghDieIz74JhcjchEB7IYumqxMpRJmmVoppdkKcR6iq6srHA7z476+vm+++UYROlPTq6++OmzYsPr6+tQOhw8ftizr9OnTounMmTOWZX366afCoz4gzNR9hk5rIpEIutB6enpOnz7d29vrrtoTicTQeWthpDkRcN0nsaen5y5mbW1t+BjmNNfobCwB130Mg8GgS3fDYDCIDVF8EAgz8TL1IDchLp/v8/myv1AtTgyHw+PHj3/yySeFRz744IMPLMuSNXp9fb1lWe+//77cTXFMmIUki0QilNJ4PC75fjrkQcLhsOyPxWKU0lgsJjv5d49EIiE7Q6EQf59FIhHZz2+oSBuBUir3DIVC/PeIaSNkKjhthGg0Kvv5kGOx2JIlS/huiv86QGDp0qUJZvJc6HqfJL2x+Tst7fsk0zstKcJg+mjkNOS00DKtBmmhRaNRfBId+ADyFEuXLs1pzcdHg69XOUHjq0HhHw3bN0pxoTBpEY7H4z+uzUuXLnXsfYhES5cuVcihTEtoWjlk+/tEKMDU9wmlNO0bu5Bdg+tSrjnT/jcHIb59+/ZlVx6W8thjj3mZPfLII+KtnzZBknPfvn2WZZ09ezbJz1/y1oaGBtFaV1eXdLOKaEp7QAg5deqUT7KWlhZKaSQSkXw/HfLTm5qaZL/f76eU9vT0yM7m5mYu5WWnz+fji9GlS5dkf3d3N6U0EAjIzsbGRp6upqZG9nN0ra2tsrOjo4NSOjAwIDvr6up4hLq6OtnP7wvq6OiQna2trVz0L1y4EMuBYwSeeeaZBDN5Lnw+H1+MLl++LPu7uroopX19fbJTvPNra2tlP1812traZGd7ezulNBgMyk7x3bi+vl7282dfdHZ2ys4h+9EIh8Myh5qaGv7hamxslP2BQIBS2t3dLTsvXbrEv6vLTp/Px/Vcc3Oz7O/p6aGU/vhvO/gkOvYxXLhwYVtbGz4aPp8vj13D4Y+G3++XPy9NTU38kyg7fT4f/5LQ0tIi+zs7Oyml/f39slNcxbtw4YLs5xdoFy9e7Nj7EIkWLlzIb2wbHIKqkI/GyZMnCVH9fZtshfh7773n8XhuueUWSulnn33m8Xhmzpz59NNPe71e8Xxx/hFS/3fu3LnTpk3L1Oezzz6zLOvMmTOiA7815fDhw8KjPiDM5G85eXzRT/v1y41f4ILBYK9k/J+Y/X6/5Ovt6+sLBoN9fX2yMxAIBIPBgYEB2dnb2zswMBAMBrOJ4Pf7ebqkCP39/cFgMBAIyH5eQ39/f29vb1tbG1/CLl26pIiQtmAeQY7s5JC5XDbkfZJ0aRaX/fRe9pM/iXl/NMQbWx3Bro9Ge3v7hQsXOjo67FoNMq0naVeDpFGohyxHCAaD/Ktvllew8NHQ+9GQN2txUU925vRPx1eNID5Evb29/I2td9fgb+xMH42Ojg6+GzY3N/f2pt+ss/9oiAhZDplv1kmfxOyhBYNB/DsqfydzXarQrtkK8TvuuOO2227jj7JatGhRSUkJ/z66aNGi6dOnKxLITZFIpKysTPGUFX4jysGDB8VZ/MeaFy9eFB71AWGm7oNWkwmIX4nhuWkmTxNqAwEQAAEQKCoB7IZFxetYcMJMkS5bIT5q1Kht27bxQDfccMMdd9zBj3fs2DFy5EhFArnp9OnTlmUdO3ZMdiYd33TTTfPnzxfO+fPnV1dXi5dXPSDMrtoNHYwlIJYe/CURY+cIhQ0FAvyKMr9gPBTGizGCgGkEsBuaNiP51UOYKc7NVoiPHj16x44dlNLa2lqPx/Piiy/yoFu2bBk7dqwigdz03nvvWZbF72AWfv63fvj1dUrp7t27LctatmzZkSNHli1bZlnWgQMHROerHhBmV+2GDsYSEEsPnptm7ByhsKFAAM9NGwqzjDGaTAC7ocmzk31thJmif7ZC/LbbbuOPOlm7dq3X6/3qq6/4b0vvYKZIIDdt2rTJsizxe1XedPz4ccuydu/eLXpu37590qRJpaWlU6ZM2bNnj/Bnc0CYZdMTfcwkgKXHzHlBVUONAIT4UJtxjNc0AtgNTZuR/OohzBTnZivEt23b5vF4pk2bNnz48ClTplBKf/jhh1/84hderzdXrayopvAmNl7Vr1MLT4EIRSWApaeoeBEcBLIkACGeJSh0A4EiEcBuWCSwDoclzBRJsxXilNK33npr+vTpDzzwAH9E2vfff19RUbFx40ZFdOeb2HghxJ0Hb1tGLD22oUQgECiAAIR4AfBwKgjYQAC7oQ0QDQhBmCkKyUGIJ0WJxWLiUUFJTRpfEmYaC0DqAglg6SkQIE4HAVsIhEKh2trapDsJbYmMICAAAtkQwG6YDSXz+xBmijpzE+KBQODDDz98/fXX//rXvx46dMjAB8xddcAKFmgygYBYegx8d5nABzWAAAiAAAgMBQLYDQfHLBNmirHkIMT/8Y9/VFZWer1eDzOv11tRUZHTI00UddjVxMaLW1PswqkhDpYeDdCREgRAAARAwDAC2A0Nm5A8yyHMFCdnK8RPnTpVUlIybty4DRs2HDp06J///Of69evHjh1bUlLy7bffKhI43MTGCyHuMHU704mlx+/32xkXsUAABHIhEA6HGxoaDLz/MJdBoC8IuJgAdkMXT55UOmEmOZIPsxXic+bMmTBhQkdHhxygo6NjwoQJjz32mOzUe0yY6a0B2QshIJYePEe8EIw4FwQKJIAfaxYIEKeDQIEEsBsWCNCQ0wkzRTHZCvHKysp169alBlq3bt348eNT/bo8hJmu7MhbOAEsPYUzRAQQKJwAhHjhDBEBBAohgN2wEHrmnEuYKerJVoiXlpa+/fbbqYG2bds2YsSIVL8uD2GmKzvyFk4AS0/hDBEBBAonACFeOENEAIFCCGA3LISeOecSZop6shXiN998c9pbUH73u99NnjxZkcDhJjZe3CPuMHU702HpsZMmYoFAvgQgxPMlh/NAwB4C2A3t4ag7CmGmqCJbIf7yyy97vd7169eL3+6Ew+H169d7vd6XXnpJkcDhJjZeCHGHqduZTiw9fX19dsZFLBAAgVwIxGKxvr6+WCyWy0noCwIgYBsB7Ia2odQaiDBTlJCtEA+Hw7fffrvH4xk1atQvf/nLW2+9ddSoUR6PZ8aMGUY97/mqA1awQJMJBMTSY9T7ygQyqAEEQAAEQGDoEMBuODjmmjBTjCVbIU4pDQaDL7/88vTp08vKykaOHDl9+vT169cPDAwoojvfxMaLK+LOg7cto1h6cEXcNqYIBAK5E4hGo11dXdFoNPdTcQYIgIANBLAb2gDRgBCEmaKQHIS4Ioo5TWy8EOLmTEjOlYilB48vzJkdTgAB+wjgHnH7WCISCORDALthPtTMO4cwU9RVqBDfvn37o48+qkjgcBMbL4S4w9TtTIelx06aiAUC+RKAEM+XHM4DAXsIYDe0h6PuKISZoopChfjSpUu9Xq8igcNNbLwQ4g5TtzMdlh47aSIWCORLAEI8X3I4DwTsIYDd0B6OuqMQZooqIMQVcNCkgQCWHg3QkRIEUghAiKcggQMEHCWA3dBR3EVLRpgpwkOIK+CgSQMBsfQEAgEN6ZESBECAEYhEIpcvX45EIuABAiCghQB2Qy3YbU9KmCnCQogr4KBJAwGx9ODxhRroIyUIgAAIgIAZBLAbmjEPhVZBmCmiQIgr4KBJAwGx9Jj2ZEwNLJASBPQRSCQS0Wg0kUjoKwGZQWBIE8BuODimnzBTjAVCXAEHTRoIiKUHjy/UQB8pQeAKAdwjfoUE/h8E9BDAbqiHu91ZCTNFVJUQ/3kWNnr0aDw1RcEXTbkSwNKTKzH0B4FiEIAQLwZVxASB7AlgN8yelck9CTNFhSoh7snOIMQVfNGUKwEsPbkSQ38QKAYBCPFiUEVMEMieAHbD7FmZ3JMwU1SoEuKK04xtYuPFc8SNnZ+rF4al5+qM0AMEik8AQrz4jJEBBFQEsBuq6LinjTBT1AshroCDJg0EsPRogI6UIJBCAEI8BQkcIOAoAeyGjuIuWjLCTBEeQlwBB00aCIilB09N0UAfKUHgCoHEFbviwP+DAAg4SgC7oaO4i5aMMFOEhxBXwEGTBgJi6cFzxDXQR0oQAAEQAAEzCGA3NGMeCq2CMFNEgRBXwEGTBgJi6fH7/RrSIyUIMveRIgAAIABJREFUgAAjEA6HL168GA6HwQMEQEALAeyGWrDbnpQwU4SFEFfAQZMGAmLpwXPENdBHShC4QgD3iF8hgf8HAT0EsBvq4W53VsJMEdUGIW7ULQRXHbCCBZpMIIClx4RZQA0gACGO9wAI6CWA3VAvf7uyE2aKaNkK8Z///Ocff/xxaqB9+/ZVVlam+nV5CDNd2ZG3cAJYegpniAggUDgBCPHCGSICCBRCALthIfTMOZcwU9SjEuKdnZ3/e8U8Hs9f/vKXK6/+3/8fP3583rx5ZWVligQON7Hx4jniDlO3Mx2WHjtpIhYI5EsAQjxfcjgPBOwhgN3QHo66oxBmiipUQjwQCFx77bVepXk8ngcffFCRwOEmNl4IcYep25lOLD19fX12xkUsEACBXAjEYrHe3t5YLJbLSegLAiBgGwHshrah1BqIMFOUoBLilNJ//etf69evX7duncfj+d3vfrf+P+2VV17ZsWNHIBBQJHC4iY0XQtxh6namE0uPUb89sHOEiAUCIAACIAACVyOA3fBqhNzRTpgpar2KEBdnzpo169ixY+KlsQeEmbHlobCrEhBLD66IX5UVOoBA8Qjginjx2CIyCGRDALthNpTM70OYKerMVogrQhjVxMaLK+JGzUluxYilB48vzA0ceoOArQRwj7itOBEMBHImgN0wZ2RGnkCYKUrLQYh3dnbu2bNn48aN/3l/yvqXX35ZkcDhJjZeCHGHqduZDkuPnTQRCwTyJQAhni85nAcC9hDAbmgPR91RCDNFFdkK8dOnT19zzTVer9eTYl6vV5HA4SY2Xghxh6nbmQ5Lj500EQsE8iUAIZ4vOZwHAvYQwG5oD0fdUQgzRRXZCvH777+/tLR03bp1R44c+TLFFAkcbmLjhRB3mLqd6bD02EkTsUAgXwIQ4vmSw3kgYA8B7Ib2cNQdhTBTVJGtEB89evTq1asVgQxpYuOFEDdkNvIpQyw9fr8/n/NxDgiAgB0EwuHwxYsXw+GwHcEQAwRAIGcC2A1zRmbkCYSZorQchPjOnTsVgQxpYuOFEDdkNvIpQyw9eHxhPvhwDgiAAAiAwKAggN1wUEwjJcwUY8lWiD/00ENPPfWUIpAhTWy8EOKGzEY+ZYilZ2BgIJ/zcQ4IgIAdBBJXzI5giAECIJAzAeyGOSMz8gTCTFFatkL83Llzo0aNeu2111pbWxOJhCKi3iY2XghxvZNQUHax9ODxhQVxxMkgUBgB3CNeGD+cDQKFEsBu+H/bOxfvOIor///+mhqJkSxrcXjJIStMBBhOwOuDiRPBsubhhF3bwTxCEoyXlxeOsw6EhF3jOAYvmFigtQ1+xMfgGGOETGxkFzHBjN6SZb2l0XPe9YOqpSjPTJdaPT0zPdXfezim53bV7bqfmrr1Vas1kytBb/Sn3DRj0QnxQCCgfr192kt5qry8XHOBAp/i+UKIF5i6m5dD6XGTJmKBgFMCEOJOyaEfCLhDALuhOxyLHYVy04xCJ8TrbZvmAuqplpaW+vr6qqqqq6+++tFHHx0eHlbPiuPW1lZyqd1www2Zzaw8lJvVWfi9TwClx/tzhBH6gQCEuB9mGTl6mQB2Qy/Pjv2xUW6a9johrunm4NRnn31WWVl5//33f/jhh42NjTU1NXfccUdmnP379xNCmpubW76xv//975nNrDyUm9VZ+L1PAKXH+3OEEfqBAIS4H2YZOXqZAHZDL8+O/bFRbpr2hRPid95554oVKxKJhBjN4cOHr7322u7u7rTBbd68uba2Ns1p/yXlZr89WnqNAEqP12YE4/EnAQhxf847svYOAeyG3pmLXEZCuWki2BXid1rYXXfdde+99z722GMNDQ2xWMzqSqOjo4FAYM+ePVYNpH/VqlUPPPCAfDnfA8ptvr3Q3jsEZOnBp6Z4Z1IwEh8SSKVS8Xjcy3+a78NJQcq+IoDd0Izpptw0udgV4tdff311dbX4evtFixbV1NSIr7uXX3pfVla2fPlyq89+/vjjjwkhx48fX79+/UJuDz300Pj4eObIrrnmGnHvvKKi4pprrtm8ebNG32d25/nijzUzwZSMR5Yeq/dSyWSCgYIACIAACICAUwLYDZ2S81Y/yk0zJrtCvKWlZcGCBRs2bBgYGBDhwuHwli1bFi5cePr06YGBgVdeeeWyyy578cUXs17swIEDhJDFixf/8pe/bGpq2rVr16JFi1asWJFMJtX2Q0NDhJCampo9e/acPHnyhRdeCAaD69evV9vojym3iGJCxyeTScX39aGIE41GVb94ciaRSKhO8d1yqVRKdUYiEXGvKBaLqf54PM4YyxqBMaa2jEQiIv2sEawGnDVCPB5X/Q5SzhrBKmX70BykHA6HV3IbGRkRc6SmJqFlHbAVtKwDzhoh95StImSd5fy9T9JSFu+0rCnPC1rWAXsk5dJ6nzhYGjJB+W2X0iMO3Jpl8T6ZnJzs6emZnJwU9cRqltPead4voWkDdgsaloZb7xPvLw257txK2WpxTU5Oit1weHg4EonkW11gabhVDdK2WqFLhZ7J+q9dIV5fX7969erMEGvXrr3rrruE/1e/+tWNN96Y2YYxtnfvXkKIGkH8Uebx48fV9rOzsx999FFfX590vvzyy4SQ1tZW6dEfUErPnDkTUqy/v58xFovFFN/XhyJOT0+P6hdfqz4+Pq46L1y4wBhLJpOqMxQKiS2nr69P9Y+NjTHGJicnVad8FL61tVX1iw11YGBAdYoPk5mZmVGdHR0dYsAdHR2qXzy/MTw8rDrFD0vRaFR1Sobd3d2qf3JykjE2NjamOsUUJBIJ1RkKhcTb9MKFC6pf/GZjYmJCdfb09IgBq85QKCQqV39/v+oXmnt6ejoUCp07d06UHvlHuu3t7Wpjcad8aGhIdQ4ODoryrTrb2trEGLq6ulT/1NQUY2x0dFR1Xrx4kTEWj8dVZygUEj9u9fb2qn7xGefhcFh19vb2MsZSqZTqDIVConpevHhR9Y+OjjLGpqamVGdXV5cYcFtbm+oXPzcODg6qzqGhIcbY7Oys6mxvbxcROjs7Vf/09DRjbGRkRHViaQgapbI05Nx1dnaKWc7r0jh//vyZM2fOnz+PpSHJC+zYNby2a8gJKszSkJfL99Lo7OwUu+Fnn30WCoWwawjyJSeoWlpaKNU9qWFXiFdVVb3xxhuiDKn/7tq1a8GCBcKze/fuqqoq9aw8PnLkCCHkT3/6k/SEw2FCyNatW6Un68Hnn39OCNm/f3/Ws5lOyk3+wBqJRITyw20//S8B0n6Ac+sHfQf3NuQdcSE0rSJkHfC8ZjlrBKs7E2m3CnDbTywx/LJIlhrxA5v994nVGzvrb07S3tiFuSMeDoe/+OKLcDjsVjWwWlxZU856gzkXaFYF0K17YFkH7JGU5btUHLiVcp5KaC6zXJilIXnme2nIO+KDg4O4Iy6x62c5az1JK6GyGsiYeV0aQpdm6lXpsSvEa2pqNm3aJLvJg02bNl1xxRXi5Y4dO6655hp5Sj0IhUKEkJ07d0rnyMgIIeS1116THsZYW1vbrl27xE/bwv/pp58SQj766CO1meaYctM0wCmPE5BPxeGbNT0+Uxie2QTwqSlmzy+y8z4B7IbenyM7I6TcNC3tCvFf/OIXFRUVR44cUWOdPHmysrJSPMM9MzNz22233X333WoDeZxKpWpra9UPDm9oaCCEnDt3TrZhjH31+Dgh5K233pLOZ555prq6Ouufdco26gHlpnpwXFoEUHpKa74wWlMJQIibOrPIq1QIYDcslZnSj5Ny07SxK8QHBwdra2vLyspuvvnmNWvWrF+/ftmyZWVlZYsXL+7t7U0mk5dffnlZWdmxY8esLnbo0KFAILBu3boTJ07s3Llz4cKFa9asEY9Tt7S0iKeEE4lEfX395ZdfvnPnzhMnTjzzzDOBQGD79u1WMTP9lFumH55SISBLj3iSu1SGjXGCgGEE4vH46Oio+AsHw1JDOiBQEgSwG5bENM05SMpN08yuEBd/3Pbkk09effXV8kMMH3/8cfFHcsPDw/fee++hQ4c0V2KMHT16dPny5V/dWa+pqXnuuefEgz7Nzc2EkMbGRtF3YmLi2Wefra2traioWLp06e7du/Ux085SbmlOvCwhArL04OMLS2jWMFQQAAEQAAF3CWA3dJdnsaJRbpqrz0OIyyjj4+NDQ0Pe/KKHOROWWeDAmwRk6cEdcW9OEEblEwKJRGJqakr8XbJPUkaaIOApAtgNPTUdjgdDuWm6OxHimnBFP8Xz1X1MTNFHiAHoCcjSgz/W1IPCWRDIKwE8I55XvAgOAnMSwG44J6KSaEC5aYaqE+LXXXfde++9JzpfZ21LlizRXKDApyi3Al8Ul3ORAEqPizARCgQcE4AQd4wOHUHAFQLYDV3BWPQglJtmGDohXltbK4V4rdY0FyjwKZ4v7ogXmLqbl0PpcZMmYoGAUwIQ4k7JoR8IuEMAu6E7HIsdhXLTjEInxDXdPHuK5wsh7tn5mXtgKD1zM0ILEMg/AQjx/DPGFUBARwC7oY5O6Zyj3DTjdSLEo9Go+GouTdxineL5QogXC78L15WlZ2JiwoVwCAECIOCIQDQa7erqkl9i5ygGOoEACDgngN3QOTsv9aTcNCOahxAfGxt78skna2pqysvLm5qa/vrXv65evbq9vV0TvfCneL4Q4oUH79oVZenBxxe6xhSBQAAEQAAESo0AdsNSm7Hs46Xcsp/jXrtCfGxsrK6uLhAIXH/99WVlZU1NTe+9914gELj66qu7u7s1FyjwKcqtwBfF5VwkgNLjIkyEAgEQAAEQKFEC2A1LdOLShk25pTnVl3aF+NNPPx0MBpuamkZGRgKBQFNTE2Psgw8+qKqqeuyxx9SIxT2m3Io7Blw9FwKy9ODjC3PBiL4gkCOBSCTS1tYWiURyjIPuIAACzghgN3TGzWu9KDfNqOwK8dra2ieffFJ8v6YU4oyxTZs21dbWai5Q4FM8XzyaUmDqbl4OpcdNmogFAk4J4I81nZJDPxBwhwB2Q3c4FjsK5aYZhV0hHgwGxbfNj46OqkJ89+7dFRUVmgsU+BTPF0K8wNTdvBxKj5s0EQsEnBKAEHdKDv1AwB0C2A3d4VjsKJSbZhR2hfi11167ZcuWzDviTz/99He/+13NBQp8iucLIV5g6m5eDqXHTZqIBQJOCUCIOyWHfiDgDgHshu5wLHYUyk0zCrtC/PHHH7/iiit6enrUO+KnT5+urKz8xS9+oblAgU/xfCHEC0zdzcuh9LhJE7FAwCkBCHGn5NAPBNwhgN3QHY7FjkK5aUZhV4j39/fX1NQsWrRo9erVZWVla9euXb169WWXXSbUueYCBT7F84UQLzB1Ny8nS8/09LSbcRELBEBgPgSSyWQkEvHsV0bMJxW0BYGSJIDdsCSnLWPQlFuG+1uHXSHOGOvp6bnvvvvKy8sD39iPfvSj8+fPfxvMA0eUmwcGgiE4JCBLDz5H3CFBdAMBEAABECh9AtgNS38Ov86ActPkohPiWb9TbWJiglJ65syZ4eFhTdxineL54o54sfC7cF1ZeiYnJ10IhxAgAAKOCMRiscHBwVgs5qg3OoEACORKALthrgS90Z9y04xFJ8SrqqruueeeP/7xj1677a3JZ86ENX1xygsEZOnB54h7YTowBt8SwDPivp16JO4RAtgNPTIROQ6DctME0QnxG264QTyEUlZWtnjx4scee+ydd94ZGRnRhCv6KZ4v7ogXfR6cDwClxzk79AQB9whAiLvHEpFAwAkB7IZOqHmvD+WmGZdOiDPGRkZG/vznPz/99NO33nqreDq8vLz8tttu+/Wvf93U1JT12RXNxQpwiucLIV4A0vm6BEpPvsgiLgjMhwCE+HxooS0IuE8Au6H7TIsRkXLTXHkOIa72nJiYeP/995977rnbb789GAwGAoGFCxfee++9r776qtqsuMeUW3HHgKvnQgClJxd66AsCbhGAEHeLJOKAgDMC2A2dcfNaL8pNM6p5CHE1yszMTGNj44oVKwKBQFlZmXqquMeUW3HHgKvnQkCWnqmpqVzioC8IgEAuBOLx+NDQUDwezyUI+oIACDgmgN3QMTpPdaTcNEOanxBvb29//fXX16xZc9VVV5WVlQUCgSVLlmzcuFFzgQKf4vni0ZQCU3fzcrL04OML3cSKWCAAAiAAAiVFALthSU2X5WApN8vTjM0txKenp997772NGzcuWbJEiO9/+Id/+OlPf/r66693dXVpQhflFM8XQrwo7N25qCw9+EIfd4AiCgg4IpBMJmdnZ/GFPo7goRMIuEAAu6ELED0QgnLTDEQnxLdt23bnnXdWVFQEAoHy8vLly5dv2bLlr3/9q5d/WTlnwhoWOOUFArL04OMLvTAdGINvCeAZcd9OPRL3CAHshh6ZiByHQblpguiEeCAQqKysfPTRRw8cODA2NqaJ4p1TPF/cEffOhMx7JCg980aGDiCQBwIQ4nmAipAgMA8C2A3nAcvDTSk3zQB1Qlx8NEp1dfV99923c+fO9vZ2TSCPnOL5Qoh7ZDacDAOlxwk19AEBtwlAiLtNFPFAYH4EsBvOj5dXW1NumtHphPjU1NSRI0eeeOKJ6667Tnw6Sm1t7eOPP3748OGJiQlN0CKe4vlCiBdxBnK9NEpPrgTRHwTcIAAh7gZFxAAB5wSwGzpn56WelJtmRDohrnZra2t79dVX77333qqqqkAgEAwG77jjjpdeeunMmTOpVEptWdxjyq24Y8DVcyGA0pMLPfQFAbcIRCKR9vb2SCTiVkDEAQEQmBcB7IbzwuXZxpSbZnh2hbgMEY1Gjx8//txzzy1btiwYDJaVlV1xxRXybNEPKLeiDwMDcExAlh58fKFjhugIAiAAAiBQ6gSwG5b6DIrxU26aXOYtxMX33r///vsvvvjiD3/4Q3yhjwYuTjkggNLjABq6gAAIgAAIGEYAu6EZE0q5aXKxK8RbW1sbGhoee+yxurq6Mm5VVVWrVq3atm3buXPnNBco8CmeL54RLzB1Ny8nS49n/w7BzWwRCwS8SiAajXZ2dkajUa8OEOMCAcMJYDc0Y4IpN00uOiF+6tSpV1555Sc/+cmVV14pvsrnsssuu/3227ds2dLc3OzNAj1nwhoWOOUFArL04HPEvTAdGINvCeCPNX079UjcIwSwG3pkInIcBuWmCaIT4uKxk0AgcNNNNz311FNHjhyZnJzUxPLCKZ4v7oh7YSocjgGlxyE4dAMBVwlAiLuKE8FAYN4EsBvOG5knO1BumqHphPjDDz+8Z8+e/v5+TX+vneL5Qoh7bVrmMR6UnnnAQlMQyBsBCPG8oUVgELBFALuhLUyeb0S5aYapE+Kabp49xfOFEPfs/Mw9MJSeuRmhBQjknwCEeP4Z4wogoCOA3VBHp3TOUW6a8UKIa+DgVBEIyNIzPT1dhMvjkiAAApxAMpmcnp5OJpPgAQIgUBQC2A2Lgt31i1JumrAQ4ho4OFUEArL04HPEi0AflwQBEAABEPAGAeyG3piHXEdBuWmiQIhr4OBUEQjI0jM1NVWEy+OSIAACnEA8Hh8ZGYnH4+ABAiBQFALYDYuC3fWLUm6asBDiGjg4VQQCsvTg4wuLQB+XBIFvCOAZ8W9I4P8gUBwC2A2Lw93tq1JumqgQ4ho4OFUEAig9RYCOS4JABgEI8QwkcIBAQQlgNywo7rxdjHLThIcQ18DBqSIQQOkpAnRcEgQyCECIZyCBAwQKSgC7YUFx5+1ilJsmPIS4Bg5OFYEASk8RoOOSIJBBAEI8AwkcIFBQAtgNC4o7bxej3DThIcQ1cHCqCARk6fH+17gWgQ4uCQKFIhCLxfr7+2OxWKEuiOuAAAhcQgC74SU4SvYF5aYZfkGFeEtLS319fVVV1dVXX/3oo48ODw9nHdnevXuXLl1aWVlZV1fX0NCQtY2Vk3KzOgu/9wnI0oOPL/T+ZGGEIAACIAACeSKA3TBPYAsclnLTXLRwQvyzzz6rrKy8//77P/zww8bGxpqamjvuuCNzZAcPHgwEAs8+++zx48efeOIJQsi+ffsym1l5KDers/B7n4AsPfhCH+9PFkZoMIFkMhmLxfCFPgZPMVLzOAHshh6fIJvDo9w0jQsnxO+8884VK1YkEgkxmsOHD1977bXd3d1pg6urq1u7dq10rlu37vrrr5cv5zyg3OZshgaeJSBLDz6+0LNzhIH5gQCeEffDLCNHLxPAbujl2bE/NspN075AQnx0dDQQCOzZs0czFMZYT08PIWT//v2y2cGDBwkh7e3t0qM/oNz0bXDWywRQerw8OxibfwhAiPtnrpGpNwlgN/TmvMx3VJSbpleBhPjHH39MCDl+/Pj69esXcnvooYfGx8fTRnbs2DFCyN/+9jfpP3fuHCHk6NGj0qM/oNz0bRycTaVSs7Oz47D8ExgYGFjJraenJ/9X8/sVZmdnU6kUg4FABgEI8QwkcPwfAWyI4wUx7IYFwfztRfK0IVJuzNoKJMQPHDhACFm8ePEvf/nLpqamXbt2LVq0aMWKFWkPIL777ruEkM7OTjngzs5OQsg777wjPfoDyi2imPir/2Qyqfi+PhRxotGo6hdPziQSCdUZjUblD6ZCI+JfEDCGwPT0tPpun+/SYIylUqm0CELcx2Ix1S++LD1zcYmVqLaMRCKiMmSNYLWWs0aIx+Oq30E1yBrBKmWb9STHlKPRqCZC1gFbQcs6YBEhHA5/8cUX4XBYQMs9ZasIWWc5f++TtJTFOy13aFkH7JGU1SUgF1cuKU9NTRlTAJEICKgEZmdnc1kaQkOmRaDcRNHO+m+BhPjevXsJIatXr5aD2L9/v7hHLj2MsX379hFCurq6pLOjoyPtYRV5KusBpfTMmTMhxfr7+xljsVhM8X19KLr39PSo/omJCcbY+Pi46rxw4QKEuPpOxbFJBCYnJ9V3+3yXBmMsmUymRRDFqK+vT/WPjY0xxtIuJ/9KpLW1VW0stObAwIDqFJ+zNDMzozo7OjrEWu7o6FD9MzMzjLHh4WHVOTAwwBiLRqOqs7W1VUTo7u5W/eIDNMfGxlRnX18fYyyRSKjOUCgk9NyFCxdUv/il38TEhOrs6ekRl1OdoVBI6N3+/n7VPzIywhibnp5WnfJWRXt7u+oXHzQ0NDSkOgcHBxlj4va29Le1tYkxdHV1SWcoFJqammKMjY6OhkKh8+fPnzlz5vz58xcvXmSMxeNxtWUoFBI/bvX29qp+8acd4XBYdfb29oof2FRnKBQSP5tdvHhR9Y+OjjLGpqamVKfcFNra2lS/+LlxcHBQdQ4NDTHGZmdnVad8vrGzs1P1iz8KHxkZUZ2u7BoGL43h4WGTaiByAQFJYHZ21vVdo6WlhVIqSm7WfwskxI8cOUII+dOf/iQHEQ6HCSFbt26VHsbYX/7yF0LIuXPnpFM8mnLs2DHp0R9QbuoNAAf3wDLvbUghvnb3f61rfAX/5ZXA2re3rn17a14vgeBrd/+XKD24I67/JUDavQ23bg8LcaxWKvu/BCjMHXE5NrdS9sjtYdwRz/2XAPKO+K+37v/NtsP4L38Etmz785Ztf85ffEQWBH69db/YEE2+Ix4KhQghO3fulDJ6ZGSEEPLaa69JD2NMPIhy8OBB6RR/rCluqEin5oBy0zRwdkoK8Z/t277+4Gv4DwRKncDP9m2XdcfZokAvEAABfxKQG+Jvdxz9/f98iP9AoNQJ/HbH0fxtiJSbplYU6I54KpWqra1VPzi8oaEh7ea3GOWSJUvWrVsnR7xu3bq6ujr5cs4Dym3OZvNtIOsOhHipC1CMXxCAEJ9vEfBb+2g02tPTI++++y195KshIDdECPFSF6AYvyDgCyHOGDt06FAgEPjqc8FPnDixc+fOhQsXrlmzRjwz2tLSIh6FZIw1NjYSQjZu3PjBBx9s3LiREHLgwAFNRUg7RbmlOXN/KesOhDiErBkEIMRzLwtmR8Cnppg9v7lkJzdECHEIWTMI+EWIM8aOHj26fPnyioqKmpqa5557TtxraW5uJoQ0NjbKuvDmm29+//vfr6iouOmmm+b86HHZSxxQbmnO3F/KugMhboYMRRYQ4rmXBbMjQIibPb+5ZCc3RAhxM2QosvCREM9l5dvsS7nZbGy/maw7EOKQsGYQgBC3v/z92RJC3J/zbidruSFCiEPCmkEAQtzOwrfbhnKz29p2O1l3IMTNkKHIAkLc9ur3aUMIcZ9OvI205YYIIW6GDEUWEOI21r3tJpSb7eZ2G8q6AyEOCWsGAQhxu4vfr+0SicTExIT4SHi/MkDe2QnIDRFCHBLWDAIQ4tmXujMv5easr6aXrDsQ4mbIUGQBIa5Z7zgFAiCgISA3RAhxM2QosoAQ16z3eZ+i3Obdba4Osu5AiEPCmkEAQnyuRe/384lEYnx8HHfE/f4+yJa/3BAhxCFhzSAAIZ5toTv1UW5Oe1v2k3UHQtwMGYosIMQtVztOcAJ4RhxvBCsCckOEEDdDhiILCHGrxe7ET7k56antI+sOhDgkrBkEIMS1Kx4nGYQ43gRWBOSGCCEOCWsGAQhxq8XuxE+5Oemp7SPrDoS4GTIUWUCIa1c8TkKI4z1gSUBuiBDiZshQZAEhbrnaHZyg3Bx01HeRdQdCHBLWDAIQ4volj7O4I473gBUBuSFCiEPCmkEAQtxqsTvxU25Oemr7yLoDIW6GDEUWEOLaFY+TLBqNXrhwQXz/MXCAgEpAbogQ4mbIUGQBIa4u8FyPKbdco2T0l3UHQhwS1gwCEOIZqxwOEAABWwTkhgghDglrBgEIcVsr32Yjys1mY/vNZN2BEDdDhiILCHH7y9+fLVOpVDKZTKVS/kwfWWsIyA0RQtwMGYosIMQ1633epyi3eXebq4OsOxDikLBmEIAQn2vR+/08nhH3+zvAOn+5IUKIQ8KaQQBC3Hq5z/8M5Tb/fnP0kHUHQtwMGYosIMTnWPPwN4QcAAAgAElEQVS+Pw0h7vu3gCUAuSFCiJshQ5EFhLjlandwgnJz0FHfRdYdCHFIWDMIQIjrlzzOQojjPWBFQG6IEOKQsGYQgBC3WuxO/JSbk57aPrLuQIibIUORBYS4dsXjJD5HHO8BSwJyQ4QQN0OGIgsIccvV7uAE5eago76LrDsQ4pCwZhCAENcveZzFHXG8B6wIyA0RQhwS1gwCEOJWi92Jn3Jz0lPbR9YdCHEzZCiygBDXrnicZKlUKpFI4FNT8FbIJCA3RAhxM2QosoAQz1zmzj2Um/P+Fj1l3YEQh4Q1gwCEuMVahxsEQGAOAnJDhBCHhDWDAIT4HGt+Xqcpt3l1sdNY1h0IcTNkKLKAELez8P3cJhaL9fX1xWIxP0NA7lkJyA0RQtwMGYosIMSzrnSHTsrNYWfrbrLuQIhDwppBAELcernjzNcE8Iw43gdWBOSGCCEOCWsGAQhxq8XuxE+5Oemp7SPrDoS4GTIUWUCIa1c8TkKI4z1gSUBuiBDiZshQZAEhbrnaHZyg3Bx01HeRdQdCHBLWDAIQ4volj7O4I473gBUBuSFCiEPCmkEAQtxqsTvxU25Oemr7yLoDIW6GDEUWEOLaFY+TuCOO94AlAbkhQoibIUORBYS45Wp3cIJyc9BR30XWHQhxSFgzCECI65c8zsbj8bGxsXg8DhQgkEZAbogQ4pCwZhCAEE9b4zm9pNxyCpGts6w7EOJmyFBkASGebaHDBwIgMDcBuSFCiJshQ5EFhPjcy95+C8rNfnubLWXdgRCHhDWDAIS4zbXv22aJRGJycjKRSPiWABK3IiA3RAhxSFgzCECIWy12J37KzUlPbR9ZdyDEzZChyAJCXLvicRLPiOM9YElAbogQ4mbIUGQBIW652h2coNwcdNR3kXUHQhwS1gwCEOL6JY+z+NQUvAesCMgNEUIcEtYMAhDiVovdiZ9yc9JT20fWHQhxM2QosoAQ1654nMQdcbwHLAnIDRFC3AwZiiwgxC1Xu4MTlJuDjvousu5AiEPCmkEAQly/5HEWd8TxHrAiIDdECHFIWDMIQIhbLXYnfsrNSU9tH1l3IMTNkKHIAkJcu+JxkkWj0e7u7mg0ChYgkEZAbogQ4mbIUGQBIZ62xnN6SbnlFCJbZ1l3IMQhYc0gACGebaHDBwIgMDcBuSFCiEPCmkEAQnzuZW+/BeVmv73NlrLuQIibIUORBYS4zbWPZiAAAmkE5IYIIW6GDEUWEOJpazynl5RbTiGydZZ1B0IcEtYMAhDi2RY6fN8SiEQira2tkUjkWxeOQIATkBsihDgkrBkEIMTdrG2Um5sReSxZdyDEzZChyAJC3PUqYVhA/LGmYRPqYjpyQ4QQN0OGIgsIcRfrA6Pc3IzIY8m6AyEOCWsGAQhx16uEYQEhxA2bUBfTkRsihDgkrBkEIMRdrA8Q4q+ZIRORRb4JQIi7WXdMjAUhbuKsupMThLgZ6hNZSAIQ4u6UBhGFcnMzIo8l6w7uiOdbICJ+YQhAiLteJQwLCCFu2IS6mI7cEHFHXCo5HJQ0AQhxF+sD7ojjjjgI2CIAIe5m3TExVjKZjEajyWTSxOSQU04EIMRLWnRi8JkEIMRzqghpnSm3NGfuL2XdwR3xwtyvxVXyTQBCPPeygAgg4E8CckPEHfFMSQdPKRKAEHezlFFubkbksWTdgRDPt0BE/MIQgBB3vUoYFjAWiw0MDMRiMcPyQjq5E5AbIoR4KYpOjDmTAIR47mXh2wiU27evXTqSdQdCvDAyEVfJNwEIcZdqg7Fh8Iy4sVObc2JyQ4QQz5R08JQiAQjxnKuCEoByUxzuHMq6AyGeb4GI+IUhACHuTmkwNwqEuLlzm2tmckOEEC9F0YkxZxLwixCfmZkpKysjilVUVGTWg9bWVqXJ14c33HBDZjMrD+VmddaxX9YdCPHCyERcJd8EIMQdVwOfdIQQ98lEO0hTbogQ4pmSDp5SJOAXId7S0kII2b9/f8s3dvbs2cwSsH//fkJIc3PzN61a/v73v2c2s/JQblZnHftl3YEQz7dARPzCEIAQd1wNfNIRQtwnE+0gTbkhQoiXoujEmDMJ+EWI79q1KxgMzvmnP5s3b66trXVQGkQXys1xd6uOsu5AiBdGJuIq+SYAIW612OEXBOLx+PDwcDweBxAQSCMgN0QI8UxJB08pEvCLEN+wYcOtt96atp4zX65ateqBBx7I9Nv0UG42G9tvJusOhHi+BSLiF4YAhLj95Y+WIAACKgG5IUKIl6LoxJgzCfhFiN9+++3Lli27++67q6qqvvOd72zYsGFyclJd2+L4mmuuufPOO1esWFFRUXHNNdds3rx5zpvoahDKTfW4cizrDoR4YWQirpJvAhDirlQGg4Mkk8mZmRl8oY/BU+w4NbkhQohnSjp4SpGAL4R4Mpmsqqqqrq5+4403Pvnkk+3bt1dXV69cuTKtyg8NDRFCampq9uzZc/LkyRdeeCEYDK5fv95+vaDcIooJHZ9MJhXf14ciZjQaVf2JRIIxlkgkVGc0GpV1B0I83wIR8QtDQArx6elp9d0+36XBGEulUmkRUqkUYywWi6l+8ZBD5uISK1FtGYlERGXIGsFqLWeNEI/HVb+DapA1glXKNutJjilHo1FNhKwDtoKWdcAiQjgc/uKLL8LhsICWe8pWEbLOcv7eJ2kpi3da7tCyDtgjKatLQC6uXFKemppayQ1CvBRFJ8acSUAV4rksDaEh0yJQbqJoZ/33/2X1uu5MJBLNzc2tra0y8r59+wghx44dkx7G2Ozs7EcffdTX1yedL7/8MiFE7ShPZT2glJ45cyakWH9/v9AEiu/rQ9G9p6dH9U9MTDDGxsfHVeeFCxcgxAujDnGVghGQQnxyclJ9t893aTDGkslkWgRRjPr6+lT/2NgYYyztct3d3WIltra2qo2F1hwYGFCdw8PDjLGZmRnV2dHRISJ0dHSo/pmZGcbY8PCw6hwYGGCMRaNR1SnLS3d3t+oXv7IbGxtTnaI6JRIJ1RkKhYSeu3DhguofHx9njE1MTKjOnp4eMWDVGQqFhN7t7+9X/SMjI4yx6elp1dnZ2SkitLe3q/7Z2VnG2NDQkOocHBxkjIm/vJT+trY2EaGrq0s6Q6HQ1NQUY2x0dDQUCp0/f/7MmTPnz5+/ePEiYywej6stQ6GQ+HGrt7dX9YfDYcZYOBxWnb29veIHNtUZCoXEz2YXL15U/aOjo4yxqakp1dnV1SUG3NbWpvrFz42Dg4Oqc2hoSOwmqrO9vV1E6OzsVP3T09OMsZGREdXpyq5h8NIYHh6GEM8Uc/CULgFViLu+a7S0tFBKRf3J+m+BhHjmtcPhMCFk69atmadUz+effy4+a0V1ao4pN/UGgIN7YJn3NiDECyYQcaHCEJBCHHfE9b8ESLu34dbtYSGO1Upl/5cAuCMuudmHZjXLuCMuYM5ro8Qd8dJVnBh5VgKqEM9a8x38UlGWKaFLNcK1QEK8v79/9+7d4s6KGM3AwAAhpKGhQR1cW1vbrl271GfHP/30U0LIRx99pDbTHFNumgbOTkGIF0Yd4ioFIyCFuLiN6mxdoJfBBPDxhQZPbo6pyQ0Rj6ZkVXVwlhwBVYjnuDoyu1NumX7pKZAQ7+7uJoS88MIL8sI7duwoKyuTvyEV/qamJkLIW2+9JZs988wz1dXV4je80qk5oNw0DZydknUHz4gXTCniQnklACHurBT4p1ckEuno6JA3kv2TODKdk4DcECHES05xYsBZCfhCiH/1mOMjjzwSDAZffvnlpqaml156KRgMPvXUU+KZ0ZaWFvEoZCKRqK+vv/zyy3fu3HnixIlnnnkmEAhs3759zrogG1Bu8qVbB7LuQIjnVR0ieMEIQIi7VRwQBwT8RkBuiBDiWVUdnCVHwC9CPBKJ/O53v6urq6uoqFiyZMnWrVvFX3Q1NzcTQhobG0Utm5iYePbZZ2traysqKpYuXbp79+551TjKbV5d7DSWdQdCvGBKERfKKwEIcTsLH21AAAQyCcgNEUK85BQnBpyVgF+EeOZizoeHcnM9sqw7EOJ5VYcIXjACEOKuVwnDAuLRFMMm1MV05IYIIZ5V1cFZcgQgxF2sD4xyczMijyXrDoR4wZQiLpRXAhDirlcJwwLijzUNm1AX05EbIoR4ySlODDgrAQhxF+sDhPhreVVvCG4MAQhxN+uOibEgxE2cVXdyghDPKubgLF0CEOLulAYRhXJzMyKPJesO7ogbo0R9ngiEuOtVwrCAEOKGTaiL6cgNEXfES1d6YuQqAQhxF+sD7ojjjjgI2CIAIe5m3TExFoS4ibPqTk4Q4qqGw7EBBCDE3SkNIgrl5mZEHkvWHdwR9/mNZGPShxB3vUoYFjCZTM7MzIgvnjQsNaSTIwG5IeKOuAEaFCn8/n8+hBDPsSZc0p1yu8TlxgtZdyDEjVGiPk8EQtyNwoAYIOBHAnJDhBCHijWDAIS4m4WMcnMzIo8l6w6EuM/1qzHpQ4i7XiUMCxiPx4eHh+PxuGF5IZ3cCcgNEULcDBmKLCDEcy8L30ag3L597dKRrDsQ4sYoUZ8nAiHuUm0wNgyeETd2anNOTG6IEOKQsGYQgBDPuSooASg3xeHOoaw7EOI+16/GpA8h7k5pMDcKhLi5c5trZnJDhBA3Q4YiCwjxXIuC2p9yUz2uHMu6AyFujBL1eSIQ4q5UBoODQIgbPLk5piY3RAhxSFgzCECI51gTLulOuV3icuOFrDsQ4j7Xr8akDyHuRmEwOQaEuMmzm1tuckOEEDdDhiILCPHcSsKlvSm3S30uvJJ1B0LcGCXq80QgxF2oC0aHiMViAwMDsVjM6CyRnBMCckOEEIeENYMAhLiTQmDVh3KzOuvYL+sOhLjP9asx6UOIO64G6AgCPicgN0QIcTNkKLKAEHezplFubkbksWTdgRA3Ron6PBEIcderhGEBk8lkNBrFF/oYNq2upCM3RAhxSFgzCECIu1IZ/i8I5eZmRB5L1h0IcZ/rV2PShxB3vUoYFhDPiBs2oS6mIzdECHEzZCiygBB3sT4wys3NiDyWrDsQ4sYoUZ8nAiHuepUwLCCEuGET6mI6ckOEEIeENYMAhLiL9QFC/DWf60ukb5MAhLibdcfEWBDiJs6qOzlBiJuhPpGFJAAh7k5pEFEoNzcj8liy7uCOuE2dh2YeJwAh7nqVMCwghLhhE+piOnJDxB1xqeRwUNIEIMRdrA+4I4474iBgiwCEuJt1x8RYkUiktbU1EomYmBxyyokAhHhJi04MPpMAhHhOFSGtM+WW5sz9paw7uCPu8Ru9GJ5NAhDiuZcFRAABfxKQGyLuiGdKOnhKkQCEuJuljHJzMyKPJesOhLhNnYdmHicAIe56lUBAEPAJAbkhQoiXoujEmDMJQIi7WbsoNzcj8liy7kCIe1xfYng2CUCIu14lDAsYjUa7u7uj0ahheSGd3AnIDRFCPFPSwVOKBCDEcy8L30ag3L597dKRrDsQ4jZ1Hpp5nACEuEu1wdgw+GNNY6c258TkhgghXoqiE2POJAAhnnNVUAJQborDnUNZdyDEPa4vMTybBCDE3SkN5kaBEDd3bnPNTG6IEOKZkg6eUiQAIZ5rUVD7U26qx5VjWXcgxG3qPDTzOAEIcVcqg8FBIMQNntwcU5MbIoR4KYpOjDmTAIR4jjXhku6U2yUuN17IugMh7nF9ieHZJAAh7kZhMDkGhLjJs5tbbnJDhBDPlHTwlCIBCPHcSsKlvSm3S30uvJJ1B0Lcps5DM48TgBB3oS4YHSKRSExOTiYSCaOzRHJOCMgNEUK8FEUnxpxJAELcSSGw6kO5WZ117Jd1B0Lc4/oSw7NJAELccTVARxDwOQG5IUKIZ0o6eEqRAIS4mzWNcnMzIo8l6w6EuE2dh2YeJwAh7nqVMCxgPB4fGxuLx+OG5YV0cicgN0QI8VIUnRhzJgEI8dzLwrcRKLdvX7t0JOsOhLjH9SWGZ5MAhLhLtcHYMHhG3NipzTkxuSFCiGdKOnhKkQCEeM5VQQlAuSkOdw5l3YEQt6nz0MzjBCDE3SkN5kaBEDd3bnPNTG6IEOKlKDox5kwCEOK5FgW1P+Wmelw5lnUHQtzj+hLDs0kAQtyVymBwEAhxgyc3x9Tkhgghninp4ClFAhDiOdaES7pTbpe43Hgh6w6EuE2dh2YeJwAh7kZhMDkGhLjJs5tbbnJDhBAvRdGJMWcSgBDPrSRc2ptyu9TnwitZdyDEPa4vMTybBCDEXagLRoeIxWJ9fX2xWMzoLJGcEwJyQ4QQz5R08JQiAQhxJ4XAqg/lZnXWsV/WHQhxmzoPzTxOAELccTVARxDwOQG5IUKIl6LoxJgzCUCIu1nTKDc3I/JYsu5AiHtcX2J4NglAiLteJQwLmEqlEolEKpUyLC+kkzsBuSFCiGdKOnhKkQCEeO5l4dsIlNu3r106knUHQtymzkMzjxOAEHepNhgbBs+IGzu1OScmN0QI8VIUnRhzJgEI8ZyrghKAclMc7hzKugMh7nF9ieHZJAAh7k5pMDcKhLi5c5trZnJDhBDPlHTwlCIBCPFci4Lan3JTPa4cy7oDIW5T56GZxwlAiLtSGQwOAiFu8OTmmJrcECHES1F0YsyZBCDEc6wJl3Sn3C5xufFC1h0IcY/rSwzPJgEIcTcKg8kxIMRNnt3ccpMbIoR4pqSDpxQJQIjnVhIu7U25Xepz4ZWsOxDiNnUemnmcAIS4C3XB6BAQ4kZPb07JyQ0RQrwURSfGnEkAQjynipDWmXJLc+b+UtYdCHGP60sMzyYBCPHcy4LZEVKpVDKZxKemmD3LzrKTGyKEeKakg6cUCfhFiM/MzJSVlRHFKioqslaBvXv3Ll26tLKysq6urqGhIWsbKyflZnXWsV/WHQhxmzoPzTxOAELccTVARxDwOQG5IUKIl6LoxJgzCfhFiLe0tBBC9u/f3/KNnT17NrOcHTx4MBAIPPvss8ePH3/iiScIIfv27ctsZuWh3KzOOvbLugMh7nF9ieHZJAAh7rga+KRjNBq9cOFCNBr1Sb5I0z4BuSFCiGdKOnhKkYBfhPiuXbuCweCcX5hcV1e3du1aWRHWrVt3/fXXy5dzHlBuczabbwNZdyDEbeo8NPM4AQjx+RYBv7XHM+J+m3H7+coNEUK8FEUnxpxJwC9CfMOGDbfeeqt+qff09Ii75rLZwYMHCSHt7e3Soz+g3PRtHJyVdQdC3OP6EsOzSQBC3EEd8FUXCHFfTfe8kpUbIoR4pqSDpxQJ+EWI33777cuWLbv77rurqqq+853vbNiwYXJyMm3xHzt2jBDyt7/9TfrPnTtHCDl69Kj06A8oN30bB2dl3VnX+MrP9m0vlf/W7f3DusZX8F+BCOz9Q6m8MX62b/u6xldWcpudnXWwItDFeAIQ4sZPseME5Yb4mz8c/u2Oo6Xy34t/fP832w7jv8IQePGP75fKG+O3O47+5g+H87chUm6a5fb/NOdcPJVMJquqqqqrq994441PPvlk+/bt1dXVK1euTCaT6lXeffddQkhnZ6d0dnZ2EkLeeecd6dEfUG4RxcTDMMlkUvF9fSjiRKNR1Z9IJBhjiURCdUajUVl3xFThXxAwhsD09LT6bp/v0mCMpVKptAjiozZisZjqj8fjWReXWIlqy0gkIipD1ghWazlrhHg8rvodVIOsEaxStllPckxZPretpiahZR2wFbSsAxYRwuHwF198EQ6HBbTcU7aKkHWWM4twjtCs3tjinZY7tKwD9kjKrr9PpqamjCmASAQEVAKzs7O5V4O0CJSbqGBZ/y2QEE8kEs3Nza2trXIQ+/btI4QcO3ZMehhjwtnV1SWdHR0daQ+ryFNZDyilZ86cCSnW39/PGIvFYorv60PRvaenR/VPTEwwxsbHx1XnhQsXIMTVdyqOTSIwOTmpvtvnuzQYY8lkMi2C+IG2r69P9Y+NjTHG0i7X3d0tVmJra6vaWGjNgYEB1Tk8PMwYm5mZUZ0dHR0iQkdHh+qfmZlhjA0PD6vOgYEBxlg0GlWdsi51d3erfvEru7GxMdXZ19cnfpxQnaFQSOi5CxcuqP7x8XHG2MTEhOrs6ekRA1adoVBI6N3+/n7VPzIywhibnp5WnfJWRXt7u+oXv9wYGhpSnYODg4wxcXtb+tva2sQYurq6pDMUCk1NTTHGRkdHQ6HQl19++fnnn3/55ZcXL15kjMXjcbVlKBQSP2719vaq/nA4zBgLh8Oqs7e3V/zApjpDoZD42ezixYuqf3R0lDE2NTWlOuWm0NbWpvqFvB4cHFSdQ0NDjLHZ2VnVKZ9v7OzsVP3T09OMsZGREdXpyq5h8NIYHh42qQYiFxCQBGZnZ13fNVpaWiilouRm/bdAQjzz2uFwmBCydetW9dRf/vIXQsi5c+ekUzyakqbX5dnMA8pNvQHg4B5Y5r2NVCo1MzMTvtRmZmZmZ2cnJydV99TU1Ozs7NTUlOqcmJiY5aY6w+Hw9PS0VYTp6em0xpoIaZebnJycnZ2dnp4eHx8fVGyc29DQkOIbHBkZGR8fHxkZUZ3Dw8Pj4+NjY2Oqc3BwcGxsbHx83E6EoaEhcbm0CKOjo+Pj48PDw6pfjGF0dFR16iNkHXBahMHBwUKmHA6HZ2dnPfI+mZiYUN8/4p2W9X2S9m63unEotHVaYyGXTb3tJ1JOu7ch6olVyllvMGeFJsSxWqns/xKgMHfE5djcStkKGu6Il9wvi+LxeOY2J/YdqwKYVpHytFHOudWqW4zY5oq7a4htzmqrzbpRpu19+o0yawSbKYvNOu1y9qGNj49rZtnqfVJ0QZVKpbLWfAe/VJQllHJj1lYgId7f3797925xZ0UMZmBggBCS9jHh4kGUgwcPygGLP9YUN1SkU3NAuWka4JT3CSQSiYmJCSGDvD9ajBAEjCSAZWjktCKp0iKAZVha85V1tJRb1lPCWSAh3t3dTQh54YUX5FB27NhRVlYmf0Mq/UuWLFm3bp18uW7durq6OvlyzgPKbc5maOBlAvgrMS/PDsbmEwJYhj6ZaKTpZQJYhl6eHZtjo9w0jQskxL96zPGRRx4JBoMvv/xyU1PTSy+9FAwGn3rqKfHMaEtLi3gUkjHW2NhICNm4ceMHH3ywceNGQsiBAwc0CaSd4vnqnsVJa4+XHiSA0uPBScGQ/EYAy9BvM458PUgAy9CDkzLfIVFuml6FE+KRSOR3v/tdXV1dRUXFkiVLtm7dKp49aG5uJoQ0NjbKUb755pvf//73Kyoqbrrppj179ki/nQPKzU5LtPEsAZQez04NBuYfAliG/plrZOpZAliGnp0a+wOj3DTtCyfENYNw8RTPF3fEXSRahFAoPUWAjkuCwKUEsAwv5YFXIFAEAliGRYDu9iUpN01UCHENHJwqDoFoNNrT0yM/GqI4g8BVQcDfBLAM/T3/yN4TBLAMPTENuQ2CctPEgBDXwMEpEAABEAABEAABEAABEHBIgHLTdIYQ18DBKRAAARAAARAAARAAARBwSIBy03SGENfAwaniEMBTccXhjquCgEIAy1CBgUMQKA4BLMPicHf1qpSbJiSEuAYOThWHAEpPcbjjqiCgEMAyVGDgEASKQwDLsDjcXb0q5aYJCSGugYNTxSGA0lMc7rgqCCgEsAwVGDgEgeIQwDIsDndXr0q5aUJCiGvg4FRxCKD0FIc7rgoCCgEsQwUGDkGgOASwDIvD3dWrUm6akBDiGjg4VRwCKD3F4Y6rgoBCAMtQgYFDECgOASzD4nB39aqUmyYkhLgGDk4Vh0AymYzFYslksjiXx1VBAAQYwzLEuwAEik4Ay7DoU5D7ACg3TRwIcQ0cnAIBEAABEAABEAABEAABhwQoN01nCHENHJwqDoFYLNbf3x+LxYpzeVwVBECAMSxDvAtAoOgEsAyLPgW5D4By08SBENfAwaniEMBTccXhjquCgEIAy1CBgUMQKA4BLMPicHf1qpSbJiSEuAYOThWHAEpPcbjjqiCgEMAyVGDgEASKQwDLsDjcXb0q5aYJCSGugYNTxSGA0lMc7rgqCCgEsAwVGDgEgeIQwDIsDndXr0q5aUKaJsRPnz596tQpkTb+LVECZ8+ePX369NmzZ0t0/Bg2CBhAAMvQgElECqVOAMuw1GeQUnrq1KnTp08zazNNiH/66aenT582YOaQAgiAAAiAAAiAAAiAQEkTOH369KeffsqszTQhbp0pzoAACIAACIAACIAACICAhwhAiHtoMjAUEAABEAABEAABEAAB/xCAEPfPXCNTEAABEAABEAABEAABDxGAEPfQZGAoIAACIAACIAACIAAC/iEAIe6fuUamIAACIAACIAACIAACHiIAIe6hycBQQAAEQAAEQAAEQAAE/EMAQtw/c41MQQAEQAAEQAAEQAAEPEQAQtxDk4GhgAAIgAAIgAAIgAAI+IcAhLh/5hqZggAIgAAIgAAIgAAIeIgAhLiHJgNDAQEQAAEQAAEQAAEQ8A8BCHH/zDUyBQEQAAEQAAEQAAEQ8BABCHEPTQaGkpVAKpXK6ocTBECgYASwDAuGGhcCASsCWIZWZEraDyFe0tPn0cHX19eTbywQCCxcuHDZsmU7d+5MJBJyxLW1tT//+c/lS6uD995775FHHrE6yxhramoihNx0002aNjgFAj4kUJhl+Nvf/vabtf71/6uqqn7wgx+8+eabPgSOlEEgk0BhlqG4bn9///PPP3/DDTcsWLCgpqbm/vvv/+STTzKHBI/XCECIe21GTBhPfX39bbfd1sLt1KlT77///hNPPFFWVrZu3Tr5A/25c+e6urrmzLaem6bZQw89dMstt3ylxU+ePKlphlMg4DcChVmGQoiLxX769OkPPvjg6aefJoQ0NDT4DTjyBYFMAoVZhoyxU6dOXXnllTfeeOMbb7zR1NR06NChf/mXfwkEAm+99VbmqODxFAEIcU9NhyGDyaqed+zYQQjZt2GIM2UAAAqESURBVG/fvJLMGkpGmJiYWLBgQUNDw9KlSx988EHpxwEIgEDWteP6MhRCPI32j3/843/6p39Kc+IlCPiQQGGW4djY2OLFi++4446ZmRkJOZlMrl69uqKiYmBgQDpx4EECEOIenJSSH1LW0pNIJBYvXrxy5UqRnvpoSiQSef7556+99tpgMHjLLbccOHBAtFF/qdfc3JzJZdeuXWVlZf39/f/93/8dDAZHRkYy28ADAv4kUJhlmFWIP/DAA8uXL/cndmQNAiqBwixD8QP22bNn1Uszxr788sv/+I//aGtrS/PjpacIQIh7ajoMGUzW0sMYe+SRR4LBYDweZ4xJIZ5Kpe65557q6uodO3YcP358w4YNXz1pumfPHsZYKBS6jVtLS8vk5GQmneXLl69atYox1t/fX15evnXr1sw28ICAPwkUZhkKIR7/xsLh8LvvvltRUSGWsD/JI2sQkAQKswxXrVp19dVXy4vioLQIQIiX1nyVxmitSs/zzz9PCBkaGlKF+IkTJwgh8i44Y+zhhx+uqakRet0qlPhZX+147733LlmyRD6DXhqkMEoQyBsBq7Xj7jIUQlz9e01CyE9+8pNoNJq3zBAYBEqGQGGW4c0333z77beXDBQM9FICEOKX8sArNwjoS8/w8LAqxDdv3hwIBKampr65pxY/ePAgIeTzzz9njFmFYoxt2rSpurp6aGgozO3tt98mhBw/ftyNDBADBEqegNXaEULcrWUohDj9xk6ePPmHP/xh0aJF9fX16qcklTxNJAACjggUZhnecsst+KsMR/PjiU4Q4p6YBsMGYVV61q9fv2DBArE9y0dTfvWrX6XdThMvjx07phHisVjsqquuyuz4wAMPGAYT6YCAMwIFWIaMsazPiO/bt48QcvjwYWcjRy8QMIZAYZbh6tWrrR5N6evrMwamqYlAiJs6s8XMK2vpEX+seffdd4uRSSH+3HPPLVy4kGZYOBzWCPHDhw9/pcJ37drVrNj69evLy8v7+/uLmTyuDQLeIFCAZWglxL/88ktCCP5mwxtvBIyimAQKswxff/11QgilNC1VrMQ0IN58CSHuzXkp7VFlLT2iUsibZFKIHz16lBCi/rl3Y2Pj6tWrxUeg3HXXXfX19Zk47r///sWLFyeTSfXU2bNnCSEvvfSS6sQxCPiTQAGWoZUQb2howB1xf77rkHUagcIsw4mJiZqamh/+8IdpH1943333BYPB3t7etFHhpacIQIh7ajoMGYz6FQanT59+7733/v3f/728vPzhhx+WGUohnkwmf/zjH9fU1LzxxhvNzc2vvPJKZWXlT3/6U9Hy3/7t32pqapqamsbHx2XfgYGB8vLyTZs2SY88uOmmm6699lo8nCqB4MC3BPK9DAVY8WiK+EKflpaW06dP79y58/LLL7/lllvw95q+fe8hcUmgMMuQMfbhhx9WVVXdfPPNb775ZnNz8969e++4445AIIDPL5Jz4dkDCHHPTk0JD0z9/O+ysrKampr6+vp9+/apH2kihfhXH2s4PT29adMm8Tni11133X/+539GIhGR/8cff/yP//iPwWDwnXfekUS2bt2a9ddwjDFx6siRI7IxDkDAnwTyvQwF1bRPTQkGg7W1tRs2bBB/DOpP8sgaBCSBwixDcbkvv/zyscceu+666yorKxcvXrx69epPP/1UjgQHniUAIe7ZqcHAQAAEQAAEQAAEQAAETCYAIW7y7CI3EAABEAABEAABEAABzxKAEPfs1GBgIAACIAACIAACIAACJhOAEDd5dpEbCIAACIAACIAACICAZwlAiHt2ajAwEAABEAABEAABEAABkwlAiJs8u8gNBEAABEAABEAABEDAswQgxD07NRgYCIAACIAACIAACICAyQQgxE2eXeQGAiAAAiAAAiAAAiDgWQIQ4p6dGgwMBEAABEAABEAABEDAZAIQ4ibPLnIDARAAAUkg7Vswy8rKFi5cePPNN2/evHl0dFQ2E98FKF/aOejs7LTTDG1AAARAAATSCECIpwHBSxAAARAwk4AQ4hs2bNjL7X//939fffXVBx98sKysrKampqOjQ6R94sSJvXv32kQwOTm5cuXKn//85zbboxkIgAAIgIBKAEJcpYFjEAABEDCWgBDijY2NaRkeP368vLy8rq4uHo+nnZrzZU9PDyEEQnxOUGgAAiAAAlkJQIhnxQInCIAACJhGwEqIM8aef/55QkimRp8TAYT4nIjQAARAAAQ0BCDENXBwCgRAAATMIaAR4m1tbYSQBx54gDGW9ox4MpncuXPnD37wg8rKyssvv/yee+45deqUgNLY2EgUa25uNgcWMgEBEACBghCAEC8IZlwEBEAABIpNQCPEU6nUggULvve972UK8QcffJAQsmbNmtdff/33v//9kiVLysvLDx06xBjr7u7esWMHIeRHP/rR3r17h4aGip0irg8CIAACJUYAQrzEJgzDBQEQAAFnBDRCnDH23e9+d8GCBWlC/ODBg4SQbdu2yStOTU3deOONV1555czMDGMMj6ZIMjgAARAAAQcEIMQdQEMXEAABECg9AnohftVVV2UK8X/9138lhHR3d48otmXLFkLIBx98ACFeem8CjBgEQMBjBCDEPTYhGA4IgAAI5IeARojH4/FgMFhbW5t2R3zp0qXKQ+CXHO7atQtCPD8ThaggAAI+IgAh7qPJRqogAAJ+JqAR4pRS8SB4mhC/4YYbqqurP8pmfX19EOJ+fjshdxAAAVcIQIi7ghFBQAAEQMDrBDRC/JlnniGE7N+/P02I33PPPV8J9JGRETW3zz///NixY2NjYxDiKhYcgwAIgIADAhDiDqChCwiAAAiUHgErIX7y5MlgMLh06VLxhT7qxxc2NDQQQjZs2CCznZycrKurCwaD/f39jLG+vj5CyCOPPCIb4AAEQAAEQMA+AQhx+6zQEgRAAARKmIAQ4vIr7vfs2fPqq6/+7Gc/u+yyyxYvXtzW1iZyU4V4IpFYtWoVIeSf//mfX3vtte3bt994443q56jMzs6Wl5d/73vf2717d29vbwnTwdBBAARAoBgEIMSLQR3XBAEQAIGCExBCXP7FZSAQqK6uXrZs2W9+85vR0VE5HFWIM8Zisdi2bdtuueWWysrKK664YuXKlYcPH5aNGWPbt2+/8sorKyoq3n77bdWPYxAAARAAgTkJQIjPiQgNQAAEQAAEQAAEQAAEQMB9AhDi7jNFRBAAARAAARAAARAAARCYkwCE+JyI0AAEQAAEQAAEQAAEQAAE3CcAIe4+U0QEARAAARAAARAAARAAgTkJQIjPiQgNQAAEQAAEQAAEQAAEQMB9AhDi7jNFRBAAARAAARAAARAAARCYkwCE+JyI0AAEQAAEQAAEQAAEQAAE3CcAIe4+U0QEARAAARAAARAAARAAgTkJQIjPiQgNQAAEQAAEQAAEQAAEQMB9AhDi7jNFRBAAARAAARAAARAAARCYkwCE+JyI0AAEQAAEQAAEQAAEQAAE3CcAIe4+U0QEARAAARAAARAAARAAgTkJQIjPiQgNQAAEQAAEQAAEQAAEQMB9AhDi7jNFRBAAARAAARAAARAAARCYk8D/BwAsL+KmlLFHAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This visualization provides a clear and aesthetically pleasing way to compare the weight loss distributions across the different diets, making it easier to interpret and present your data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.6 A/B Testing\n",
    "\n",
    "Definition: A/B testing involves comparing two versions of a variable (A and B) to determine which performs better.\n",
    "\n",
    "Steps:\n",
    "\n",
    "Define the Hypothesis:\n",
    "\n",
    "Null Hypothesis (𝐻0): There is no difference between A and B.\n",
    "\n",
    "Alternative Hypothesis (𝐻𝐴): There is a difference between A and B.\n",
    "\n",
    "Conduct the Experiment: Randomly assign subjects to A or B and collect data.\n",
    "\n",
    "Analyze Data: Use statistical tests (e.g., t-tests) to compare outcomes.\n",
    "\n",
    "Make Decisions: Based on the p-value, decide whether to accept or reject the null hypothesis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scenario\n",
    "\n",
    "Suppose you're a data analyst at a company that recently launched two different promotional email campaigns. You want to test which email campaign leads to more purchases.\n",
    "\n",
    "Campaign A: Sent to 1500 customers, with 200 customers making a purchase.\n",
    "\n",
    "Campaign B: Sent to 1500 customers, with 230 customers making a purchase.\n",
    "Steps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "z-statistic: -1.5630795911735058\n",
      "p-value: 0.11803387533392569\n",
      "Fail to reject the null hypothesis (H0): No significant difference in purchase rates.\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from statsmodels.stats.proportion import proportions_ztest\n",
    "\n",
    "# Data for Campaign A and Campaign B\n",
    "purchases_A = 200\n",
    "customers_A = 1500\n",
    "purchases_B = 230\n",
    "customers_B = 1500\n",
    "\n",
    "# Convert the data into counts\n",
    "successes = np.array([purchases_A, purchases_B])\n",
    "trials = np.array([customers_A, customers_B])\n",
    "\n",
    "# Perform the proportion z-test\n",
    "z_statistic, p_value = proportions_ztest(successes, trials)\n",
    "\n",
    "# Significance level\n",
    "alpha = 0.05\n",
    "\n",
    "# Output the results\n",
    "print(\"z-statistic:\", z_statistic)\n",
    "print(\"p-value:\", p_value)\n",
    "\n",
    "if p_value > alpha:\n",
    "    print('Fail to reject the null hypothesis (H0): No significant difference in purchase rates.')\n",
    "else:\n",
    "    print('Reject the null hypothesis (H0): Significant difference in purchase rates.')\n"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Practice Questions:\n",
    "\n",
    "1. Scenario: A new teaching method is implemented in a school, and test scores before and after the implementation are compared. Use a paired t-test to determine if there is a significant improvement.\n",
    "\n",
    "2. Scenario: A company wants to know if there is a difference in average sales between two different regions. Use a two-sample t-test to analyze the data.\n",
    "\n",
    "3. Scenario: A survey finds that 55% of customers are satisfied with a product. Test if this proportion is significantly different from a claimed 60% satisfaction rate using a proportion z-test.\n",
    "\n",
    "4. Scenario: A researcher collects data on the number of hours worked and productivity scores from several employees. Use linear regression analysis to determine the relationship between hours worked and productivity."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Solutions and Explanations:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Paired T-Test Example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T-Statistic: 7.202940575985372\n",
      "P-Value: 0.001969110589202455\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Before and after scores\n",
    "before = [80, 85, 78, 90, 88]\n",
    "after = [85, 90, 80, 95, 92]\n",
    "\n",
    "# Paired T-Test\n",
    "t_stat, p_value = stats.ttest_rel(after, before)\n",
    "\n",
    "print(f\"T-Statistic: {t_stat}\")\n",
    "print(f\"P-Value: {p_value}\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Two-Sample T-Test Example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T-Statistic: 1.0776318121606494\n",
      "P-Value: 0.3126168965173728\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Sales data for two regions\n",
    "region1 = [200, 220, 210, 230, 250]\n",
    "region2 = [190, 210, 200, 220, 230]\n",
    "\n",
    "# Two-Sample T-Test\n",
    "t_stat, p_value = stats.ttest_ind(region1, region2)\n",
    "\n",
    "print(f\"T-Statistic: {t_stat}\")\n",
    "print(f\"P-Value: {p_value}\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Proportion Z-Test Example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Z-Value: -1.0206207261596563\n",
      "P-Value: 0.3074341659273959\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "# Sample proportion\n",
    "satisfied_customers = 55\n",
    "total_customers = 100\n",
    "sample_proportion = satisfied_customers / total_customers\n",
    "claimed_proportion = 0.60\n",
    "\n",
    "# Proportion Z-Test\n",
    "p_combined = claimed_proportion\n",
    "z_value = (sample_proportion - p_combined) / np.sqrt(p_combined * (1 - p_combined) / total_customers)\n",
    "p_value = stats.norm.sf(abs(z_value)) * 2\n",
    "\n",
    "print(f\"Z-Value: {z_value}\")\n",
    "print(f\"P-Value: {p_value}\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Linear Regression Example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:           Productivity   R-squared:                       0.892\n",
      "Model:                            OLS   Adj. R-squared:                  0.856\n",
      "Method:                 Least Squares   F-statistic:                     24.72\n",
      "Date:                Sun, 11 Aug 2024   Prob (F-statistic):             0.0156\n",
      "Time:                        05:02:44   Log-Likelihood:                -11.367\n",
      "No. Observations:                   5   AIC:                             26.73\n",
      "Df Residuals:                       3   BIC:                             25.95\n",
      "Df Model:                           1                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "================================================================================\n",
      "                   coef    std err          t      P>|t|      [0.025      0.975]\n",
      "--------------------------------------------------------------------------------\n",
      "const           25.4345     11.577      2.197      0.115     -11.408      62.277\n",
      "Hours Worked     1.3482      0.271      4.972      0.016       0.485       2.211\n",
      "==============================================================================\n",
      "Omnibus:                          nan   Durbin-Watson:                   2.128\n",
      "Prob(Omnibus):                    nan   Jarque-Bera (JB):                0.606\n",
      "Skew:                          -0.133   Prob(JB):                        0.739\n",
      "Kurtosis:                       1.316   Cond. No.                         364.\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\LENOVO\\anaconda3\\Lib\\site-packages\\statsmodels\\stats\\stattools.py:74: ValueWarning: omni_normtest is not valid with less than 8 observations; 5 samples were given.\n",
      "  warn(\"omni_normtest is not valid with less than 8 observations; %i \"\n"
     ]
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "\n",
    "# Sample data\n",
    "data = pd.DataFrame({\n",
    "    'Hours Worked': [40, 42, 35, 50, 45],\n",
    "    'Productivity': [80, 85, 70, 90, 88]\n",
    "})\n",
    "\n",
    "# Linear regression model\n",
    "X = sm.add_constant(data['Hours Worked'])\n",
    "y = data['Productivity']\n",
    "model = sm.OLS(y, X).fit()\n",
    "\n",
    "print(model.summary())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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