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benzhaohao/genetic_algorithm.ipynb

Created March 15, 2019 11:11
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genetic_algorithm.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 遗传算法\n",
"\n",
"**遗传算法**是一种优化方法，其源于达尔文的自然选择学说。自然选择学说认为，在特定的环境下，各种生物的那些适应所在环境特点的功能有更高可能在代际遗传中得到保留（举例而言，在高寒地区的动物通常长有非常厚的毛）。自然选择在以下条件下就会产生：\n",
"\n",
"* 各种生物要有办法将自己的遗传特征传给后代\n",
"* 环境中的遗传特征种类多种多样\n",
"* 只有部分生物体才可以将自己的遗传特征传给后代，也就是“适者生存”\n",
"\n",
"这种“仿生学”的方法如何在算法中应用呢？"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 场景\n",
"\n",
"假设我们随机抽取100个用户来公司参观，并与自己喜欢的老师和产品经理互相交流。在他们来公司前，我们送了一组问卷，问卷内容包括：\n",
"\n",
"* 对数学视频的喜好程度\n",
"* 对物理视频的喜好程度\n",
"* 对英语视频的喜好程度\n",
"\n",
"在问卷中，他们需要对每个问题打一个分数，10分为最喜欢，0分为最不喜欢。\n",
"\n",
"现在，这100位用户会分坐10行10列，由于活动需要，我们需要保证同一个人的前、后、左、右邻座不能和这个人有很大的兴趣差异。\n",
"\n",
"他们的问卷数据在`questionnaire.csv`中，现在，你需要**用pandas 读取，并输出数据的前5行**"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>math</th>\n",
" <th>physics</th>\n",
" <th>english</th>\n",
" </tr>\n",
" <tr>\n",
" <th>uid</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0</td>\n",
" <td>4</td>\n",
" <td>7</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>5</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>5</td>\n",
" <td>1</td>\n",
" <td>3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>9</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>9</td>\n",
" <td>1</td>\n",
" <td>8</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" math physics english\n",
"uid \n",
"1 0 4 7\n",
"2 5 2 0\n",
"3 5 1 3\n",
"4 9 1 8\n",
"5 9 1 8"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"\n",
"\n",
"# 读取 questionnaire.csv, 存到 df 中，并将第一列（uid）设置为索引\n",
"### CODE HERE\n",
"df=pd.read_csv('input/questionnaire.csv',index_col = 'uid')\n",
"\n",
"df.head()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"有了数据，首先我们可以尝试将问题和数据形式化。在这个问题里，我们的输出显然是个10×10的矩阵，我们可以通过这个矩阵为这100个用户安排座位。为了让遗传算法听起来更有生物范儿，我们可以把矩阵叫做“染色体”，把矩阵中每个元素（座位和座位上的用户）叫做“基因”，这样我们就可以提出很多染色体，这些染色体有的符合问题的要求，有的不符合。\n",
"\n",
"所以，我们可以先随机生成10个染色体。**请将所有uid随机分配到一个名为 `user_mat` 的10×10的numpy矩阵中**"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 37, 46, 6, 67, 72, 82, 5, 84, 60, 7],\n",
" [ 36, 59, 23, 11, 69, 43, 44, 26, 56, 8],\n",
" [ 55, 63, 27, 20, 53, 89, 70, 14, 13, 50],\n",
" [ 29, 40, 77, 3, 66, 57, 42, 25, 74, 51],\n",
" [ 97, 96, 83, 17, 88, 99, 28, 34, 15, 92],\n",
" [ 33, 38, 24, 18, 21, 81, 86, 62, 75, 95],\n",
" [ 54, 31, 85, 2, 49, 19, 100, 1, 58, 22],\n",
" [ 35, 9, 64, 30, 80, 76, 39, 78, 98, 12],\n",
" [ 94, 71, 32, 87, 73, 79, 93, 68, 47, 90],\n",
" [ 41, 65, 52, 91, 61, 4, 10, 45, 48, 16]])"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"\n",
"### CODE HERE\n",
"user_mat=np.arange(1,101)\n",
"np.random.shuffle(user_mat)\n",
"user_mat=user_mat.reshape(10,10)\n",
"user_mat"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"接下来，**随机\"shuffle\" `user_mat` 十次，并将返回的“染色体”保存到 `initial_population`**"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"initial_population = []\n",
"\n",
"for x in range(10):\n",
" user_mat = np.random.permutation(range(1, 101)).reshape((10,10))\n",
" initial_population.append(user_mat)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[array([[ 93, 10, 52, 13, 36, 80, 78, 27, 61, 58],\n",
" [ 39, 48, 56, 64, 54, 31, 42, 69, 88, 62],\n",
" [ 75, 41, 53, 60, 63, 20, 14, 26, 25, 67],\n",
" [ 21, 82, 16, 9, 99, 68, 73, 24, 94, 22],\n",
" [ 32, 7, 59, 49, 86, 85, 19, 33, 17, 28],\n",
" [ 50, 43, 89, 30, 29, 92, 70, 100, 71, 45],\n",
" [ 72, 35, 5, 15, 34, 47, 98, 46, 65, 66],\n",
" [ 74, 55, 37, 44, 76, 95, 23, 97, 81, 51],\n",
" [ 4, 8, 3, 96, 77, 84, 38, 87, 83, 79],\n",
" [ 6, 91, 40, 11, 2, 12, 1, 18, 57, 90]]),\n",
" array([[ 8, 38, 18, 12, 78, 81, 6, 2, 83, 26],\n",
" [ 80, 31, 71, 69, 45, 43, 47, 36, 14, 65],\n",
" [ 40, 86, 88, 7, 46, 56, 59, 97, 82, 30],\n",
" [ 5, 15, 53, 99, 28, 91, 32, 85, 66, 9],\n",
" [ 93, 3, 89, 42, 51, 77, 58, 49, 22, 29],\n",
" [ 60, 92, 13, 74, 23, 25, 68, 70, 100, 20],\n",
" [ 27, 95, 37, 52, 33, 10, 11, 98, 17, 35],\n",
" [ 64, 41, 96, 55, 39, 84, 87, 94, 57, 50],\n",
" [ 90, 76, 16, 79, 61, 48, 63, 24, 44, 75],\n",
" [ 67, 1, 19, 4, 72, 21, 54, 73, 34, 62]]),\n",
" array([[ 6, 75, 4, 84, 42, 22, 73, 27, 81, 21],\n",
" [ 5, 56, 62, 80, 60, 87, 85, 46, 19, 97],\n",
" [ 33, 41, 39, 26, 24, 29, 55, 16, 7, 96],\n",
" [ 25, 86, 69, 11, 47, 98, 28, 10, 61, 58],\n",
" [ 88, 82, 99, 17, 52, 36, 76, 43, 51, 23],\n",
" [ 38, 2, 71, 13, 20, 35, 50, 79, 93, 37],\n",
" [ 30, 65, 83, 12, 95, 92, 18, 34, 90, 54],\n",
" [ 94, 49, 89, 68, 32, 1, 53, 40, 31, 91],\n",
" [ 45, 66, 72, 48, 3, 9, 100, 74, 8, 70],\n",
" [ 14, 59, 77, 15, 63, 67, 78, 64, 57, 44]]),\n",
" array([[ 36, 32, 99, 98, 18, 6, 11, 4, 70, 28],\n",
" [ 56, 69, 94, 51, 68, 27, 21, 49, 75, 57],\n",
" [ 73, 12, 87, 34, 85, 47, 10, 7, 74, 48],\n",
" [ 2, 25, 59, 15, 60, 8, 38, 63, 86, 78],\n",
" [ 79, 97, 20, 37, 35, 80, 83, 71, 65, 13],\n",
" [ 31, 5, 89, 17, 62, 26, 88, 40, 82, 100],\n",
" [ 96, 95, 33, 39, 29, 43, 67, 16, 44, 84],\n",
" [ 9, 53, 30, 24, 61, 42, 91, 1, 3, 50],\n",
" [ 93, 19, 66, 92, 64, 54, 58, 90, 81, 23],\n",
" [ 77, 46, 14, 41, 55, 52, 22, 72, 76, 45]]),\n",
" array([[ 14, 86, 17, 28, 21, 47, 36, 42, 100, 91],\n",
" [ 58, 24, 99, 74, 29, 32, 81, 75, 90, 96],\n",
" [ 84, 92, 46, 44, 38, 6, 65, 52, 62, 10],\n",
" [ 35, 30, 11, 88, 43, 82, 2, 78, 71, 69],\n",
" [ 95, 40, 61, 67, 98, 25, 33, 45, 27, 4],\n",
" [ 34, 73, 23, 93, 3, 56, 66, 55, 57, 77],\n",
" [ 59, 54, 60, 8, 89, 53, 1, 94, 49, 16],\n",
" [ 5, 31, 70, 15, 79, 97, 51, 64, 83, 13],\n",
" [ 80, 68, 9, 76, 50, 87, 19, 72, 12, 39],\n",
" [ 85, 18, 63, 22, 7, 20, 41, 26, 48, 37]]),\n",
" array([[ 57, 60, 78, 91, 70, 51, 98, 99, 11, 79],\n",
" [ 93, 41, 56, 23, 18, 20, 73, 85, 16, 67],\n",
" [ 37, 82, 44, 89, 86, 21, 15, 25, 10, 71],\n",
" [ 65, 47, 34, 4, 22, 36, 74, 7, 90, 3],\n",
" [ 87, 83, 14, 95, 75, 80, 88, 92, 66, 19],\n",
" [ 27, 42, 13, 2, 5, 24, 6, 45, 64, 32],\n",
" [ 28, 97, 17, 40, 59, 77, 61, 69, 46, 38],\n",
" [ 62, 30, 9, 72, 39, 76, 55, 48, 68, 29],\n",
" [ 53, 43, 35, 49, 31, 94, 8, 84, 81, 50],\n",
" [ 1, 63, 26, 54, 52, 12, 33, 96, 58, 100]]),\n",
" array([[ 67, 47, 6, 89, 74, 82, 48, 88, 46, 36],\n",
" [ 72, 76, 3, 84, 10, 51, 16, 69, 5, 45],\n",
" [ 75, 41, 83, 95, 98, 11, 65, 34, 37, 81],\n",
" [ 35, 18, 52, 99, 93, 66, 12, 19, 23, 27],\n",
" [ 80, 63, 94, 56, 64, 50, 24, 78, 73, 28],\n",
" [ 68, 96, 87, 2, 100, 71, 39, 70, 92, 61],\n",
" [ 8, 43, 44, 9, 30, 14, 31, 25, 90, 7],\n",
" [ 40, 32, 22, 20, 1, 54, 62, 4, 55, 38],\n",
" [ 21, 29, 79, 57, 77, 33, 60, 42, 26, 53],\n",
" [ 59, 58, 91, 86, 13, 15, 97, 85, 49, 17]]),\n",
" array([[ 34, 49, 8, 13, 40, 44, 20, 41, 99, 78],\n",
" [ 58, 14, 59, 30, 17, 76, 24, 28, 75, 71],\n",
" [ 19, 92, 53, 6, 96, 2, 55, 87, 63, 39],\n",
" [ 80, 70, 37, 21, 31, 66, 100, 95, 51, 46],\n",
" [ 23, 9, 48, 91, 35, 74, 4, 62, 32, 7],\n",
" [ 86, 84, 57, 33, 72, 67, 27, 64, 18, 65],\n",
" [ 90, 26, 25, 68, 16, 89, 11, 36, 1, 52],\n",
" [ 73, 54, 81, 10, 5, 61, 3, 97, 56, 45],\n",
" [ 85, 60, 93, 15, 83, 98, 38, 82, 94, 47],\n",
" [ 50, 77, 12, 22, 29, 79, 88, 69, 42, 43]]),\n",
" array([[ 95, 9, 35, 98, 17, 83, 31, 52, 57, 90],\n",
" [ 66, 48, 13, 67, 10, 6, 50, 40, 56, 92],\n",
" [ 63, 81, 74, 26, 23, 43, 49, 45, 1, 8],\n",
" [ 41, 84, 15, 24, 28, 11, 2, 18, 58, 75],\n",
" [ 12, 39, 70, 42, 99, 32, 29, 27, 38, 25],\n",
" [ 64, 88, 91, 47, 93, 44, 62, 97, 96, 21],\n",
" [ 53, 7, 5, 36, 73, 80, 22, 37, 55, 65],\n",
" [ 60, 79, 51, 72, 54, 46, 4, 82, 85, 34],\n",
" [ 33, 77, 3, 68, 87, 16, 89, 61, 71, 76],\n",
" [100, 78, 20, 59, 30, 14, 86, 94, 19, 69]]),\n",
" array([[ 81, 75, 14, 45, 29, 4, 3, 54, 25, 32],\n",
" [ 59, 47, 70, 88, 89, 19, 41, 77, 36, 94],\n",
" [ 76, 86, 38, 87, 65, 85, 57, 42, 64, 99],\n",
" [ 67, 39, 17, 11, 96, 82, 15, 53, 68, 48],\n",
" [ 30, 37, 9, 58, 93, 2, 97, 91, 27, 5],\n",
" [ 22, 63, 78, 72, 40, 90, 20, 35, 52, 6],\n",
" [ 50, 34, 51, 10, 56, 18, 73, 71, 31, 74],\n",
" [ 24, 79, 8, 92, 69, 7, 44, 95, 33, 23],\n",
" [ 46, 49, 83, 21, 13, 12, 26, 66, 43, 1],\n",
" [100, 28, 61, 84, 62, 55, 60, 98, 80, 16]])]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"initial_population"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 适者生存\n",
"\n",
"接下来是重头戏 —— 适者生存环节了。我们如何让这10条染色体“弱肉强食，适者生存”呢？\n",
"\n",
"刚刚说到，我们需要保证同一个人的前、后、左、右邻座不能和这个人有很大的兴趣差异。那么首先就要衡量这种“差异”。\n",
"\n",
"请**写一个函数，输入是用户A（`person`）和一组用户B的数据（`*others`），返回A同B中每个用户喜好的平均曼哈顿距离**。"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from scipy.spatial.distance import pdist\n",
"\n",
"def calculate_interest_distance(person, *others):\n",
" people = [df.ix[person, 0:3]]\n",
" for other in others:\n",
" if other:\n",
" people.append(df.ix[other, 0:3])\n",
"\n",
" return np.average(pdist(people,'cityblock')) if len(people) > 1 else 0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"现在我们已经有了衡量“差距”的方法，我们就可以将其作为染色体“适应性”的度量。\n",
"\n",
"接下来自然是为每条染色体的每个基因计算其距离了。我们会遍历每条染色体，为所有基因计算它与它前、后、左、右四个neighbor的距离。由于并非所有基因都有前后左右四个邻居，本着防御性编程的精神，我们先写个函数处理对应邻居不存在的意外情况。"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"def get_element_safe(sequence, position):\n",
" try:\n",
" return sequence.item(position)\n",
" except IndexError:\n",
" return None"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"接下来就可以动手了！请**补全`calculate_chromosome_fitness`函数，该函数接收一个染色体，并为该染色体上的每个基因计算曼哈顿距离，最后以这些距离的平均值作为这条染色体的“适者程度”**"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def calculate_chromosome_fitness(chromosome):\n",
" fitnesses = []\n",
" for index, gene in np.ndenumerate(chromosome):\n",
" next_to = calculate_interest_distance(gene,\n",
" get_element_safe(chromosome, (index[0], index[1] - 1)),\n",
" get_element_safe(chromosome, (index[0], index[1] + 1)))\n",
" in_front = calculate_interest_distance(gene,\n",
" get_element_safe(chromosome, (index[0]-1, index[1])))\n",
" behind = calculate_interest_distance(gene,\n",
" get_element_safe(chromosome, (index[0]+1, index[1])))\n",
" fitnesses.append(sum([next_to, in_front, behind]) / 3)\n",
" return np.average(fitnesses)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"好的，这样我们就可以比较刚刚产生的10条染色体了。现在可以遍历每条染色体，计算染色体适应性，最后将相关信息保存起来。"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"G:\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:4: DeprecationWarning: \n",
".ix is deprecated. Please use\n",
".loc for label based indexing or\n",
".iloc for positional indexing\n",
"\n",
"See the documentation here:\n",
"http://pandas.pydata.org/pandas-docs/stable/indexing.html#ix-indexer-is-deprecated\n",
" after removing the cwd from sys.path.\n"
]
}
],
"source": [
"generations = []\n",
"\n",
"for chromosome in initial_population:\n",
" generations.append({\n",
" \"generation\": 0,\n",
" \"fitness\": calculate_chromosome_fitness(chromosome),\n",
" \"chromosome\": chromosome,\n",
" \"active\": True\n",
" })"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"现在来看看结果吧！请**以 `fitness` 为 key，为generations排序**"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[{'active': True,\n",
" 'chromosome': array([[ 81, 75, 14, 45, 29, 4, 3, 54, 25, 32],\n",
" [ 59, 47, 70, 88, 89, 19, 41, 77, 36, 94],\n",
" [ 76, 86, 38, 87, 65, 85, 57, 42, 64, 99],\n",
" [ 67, 39, 17, 11, 96, 82, 15, 53, 68, 48],\n",
" [ 30, 37, 9, 58, 93, 2, 97, 91, 27, 5],\n",
" [ 22, 63, 78, 72, 40, 90, 20, 35, 52, 6],\n",
" [ 50, 34, 51, 10, 56, 18, 73, 71, 31, 74],\n",
" [ 24, 79, 8, 92, 69, 7, 44, 95, 33, 23],\n",
" [ 46, 49, 83, 21, 13, 12, 26, 66, 43, 1],\n",
" [100, 28, 61, 84, 62, 55, 60, 98, 80, 16]]),\n",
" 'fitness': 9.911111111111111,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 95, 9, 35, 98, 17, 83, 31, 52, 57, 90],\n",
" [ 66, 48, 13, 67, 10, 6, 50, 40, 56, 92],\n",
" [ 63, 81, 74, 26, 23, 43, 49, 45, 1, 8],\n",
" [ 41, 84, 15, 24, 28, 11, 2, 18, 58, 75],\n",
" [ 12, 39, 70, 42, 99, 32, 29, 27, 38, 25],\n",
" [ 64, 88, 91, 47, 93, 44, 62, 97, 96, 21],\n",
" [ 53, 7, 5, 36, 73, 80, 22, 37, 55, 65],\n",
" [ 60, 79, 51, 72, 54, 46, 4, 82, 85, 34],\n",
" [ 33, 77, 3, 68, 87, 16, 89, 61, 71, 76],\n",
" [100, 78, 20, 59, 30, 14, 86, 94, 19, 69]]),\n",
" 'fitness': 9.843333333333332,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 67, 47, 6, 89, 74, 82, 48, 88, 46, 36],\n",
" [ 72, 76, 3, 84, 10, 51, 16, 69, 5, 45],\n",
" [ 75, 41, 83, 95, 98, 11, 65, 34, 37, 81],\n",
" [ 35, 18, 52, 99, 93, 66, 12, 19, 23, 27],\n",
" [ 80, 63, 94, 56, 64, 50, 24, 78, 73, 28],\n",
" [ 68, 96, 87, 2, 100, 71, 39, 70, 92, 61],\n",
" [ 8, 43, 44, 9, 30, 14, 31, 25, 90, 7],\n",
" [ 40, 32, 22, 20, 1, 54, 62, 4, 55, 38],\n",
" [ 21, 29, 79, 57, 77, 33, 60, 42, 26, 53],\n",
" [ 59, 58, 91, 86, 13, 15, 97, 85, 49, 17]]),\n",
" 'fitness': 9.767777777777779,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 36, 32, 99, 98, 18, 6, 11, 4, 70, 28],\n",
" [ 56, 69, 94, 51, 68, 27, 21, 49, 75, 57],\n",
" [ 73, 12, 87, 34, 85, 47, 10, 7, 74, 48],\n",
" [ 2, 25, 59, 15, 60, 8, 38, 63, 86, 78],\n",
" [ 79, 97, 20, 37, 35, 80, 83, 71, 65, 13],\n",
" [ 31, 5, 89, 17, 62, 26, 88, 40, 82, 100],\n",
" [ 96, 95, 33, 39, 29, 43, 67, 16, 44, 84],\n",
" [ 9, 53, 30, 24, 61, 42, 91, 1, 3, 50],\n",
" [ 93, 19, 66, 92, 64, 54, 58, 90, 81, 23],\n",
" [ 77, 46, 14, 41, 55, 52, 22, 72, 76, 45]]),\n",
" 'fitness': 9.706666666666667,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 6, 75, 4, 84, 42, 22, 73, 27, 81, 21],\n",
" [ 5, 56, 62, 80, 60, 87, 85, 46, 19, 97],\n",
" [ 33, 41, 39, 26, 24, 29, 55, 16, 7, 96],\n",
" [ 25, 86, 69, 11, 47, 98, 28, 10, 61, 58],\n",
" [ 88, 82, 99, 17, 52, 36, 76, 43, 51, 23],\n",
" [ 38, 2, 71, 13, 20, 35, 50, 79, 93, 37],\n",
" [ 30, 65, 83, 12, 95, 92, 18, 34, 90, 54],\n",
" [ 94, 49, 89, 68, 32, 1, 53, 40, 31, 91],\n",
" [ 45, 66, 72, 48, 3, 9, 100, 74, 8, 70],\n",
" [ 14, 59, 77, 15, 63, 67, 78, 64, 57, 44]]),\n",
" 'fitness': 9.643333333333334,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 93, 10, 52, 13, 36, 80, 78, 27, 61, 58],\n",
" [ 39, 48, 56, 64, 54, 31, 42, 69, 88, 62],\n",
" [ 75, 41, 53, 60, 63, 20, 14, 26, 25, 67],\n",
" [ 21, 82, 16, 9, 99, 68, 73, 24, 94, 22],\n",
" [ 32, 7, 59, 49, 86, 85, 19, 33, 17, 28],\n",
" [ 50, 43, 89, 30, 29, 92, 70, 100, 71, 45],\n",
" [ 72, 35, 5, 15, 34, 47, 98, 46, 65, 66],\n",
" [ 74, 55, 37, 44, 76, 95, 23, 97, 81, 51],\n",
" [ 4, 8, 3, 96, 77, 84, 38, 87, 83, 79],\n",
" [ 6, 91, 40, 11, 2, 12, 1, 18, 57, 90]]),\n",
" 'fitness': 9.633333333333333,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 34, 49, 8, 13, 40, 44, 20, 41, 99, 78],\n",
" [ 58, 14, 59, 30, 17, 76, 24, 28, 75, 71],\n",
" [ 19, 92, 53, 6, 96, 2, 55, 87, 63, 39],\n",
" [ 80, 70, 37, 21, 31, 66, 100, 95, 51, 46],\n",
" [ 23, 9, 48, 91, 35, 74, 4, 62, 32, 7],\n",
" [ 86, 84, 57, 33, 72, 67, 27, 64, 18, 65],\n",
" [ 90, 26, 25, 68, 16, 89, 11, 36, 1, 52],\n",
" [ 73, 54, 81, 10, 5, 61, 3, 97, 56, 45],\n",
" [ 85, 60, 93, 15, 83, 98, 38, 82, 94, 47],\n",
" [ 50, 77, 12, 22, 29, 79, 88, 69, 42, 43]]),\n",
" 'fitness': 9.62,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 57, 60, 78, 91, 70, 51, 98, 99, 11, 79],\n",
" [ 93, 41, 56, 23, 18, 20, 73, 85, 16, 67],\n",
" [ 37, 82, 44, 89, 86, 21, 15, 25, 10, 71],\n",
" [ 65, 47, 34, 4, 22, 36, 74, 7, 90, 3],\n",
" [ 87, 83, 14, 95, 75, 80, 88, 92, 66, 19],\n",
" [ 27, 42, 13, 2, 5, 24, 6, 45, 64, 32],\n",
" [ 28, 97, 17, 40, 59, 77, 61, 69, 46, 38],\n",
" [ 62, 30, 9, 72, 39, 76, 55, 48, 68, 29],\n",
" [ 53, 43, 35, 49, 31, 94, 8, 84, 81, 50],\n",
" [ 1, 63, 26, 54, 52, 12, 33, 96, 58, 100]]),\n",
" 'fitness': 9.522222222222222,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 14, 86, 17, 28, 21, 47, 36, 42, 100, 91],\n",
" [ 58, 24, 99, 74, 29, 32, 81, 75, 90, 96],\n",
" [ 84, 92, 46, 44, 38, 6, 65, 52, 62, 10],\n",
" [ 35, 30, 11, 88, 43, 82, 2, 78, 71, 69],\n",
" [ 95, 40, 61, 67, 98, 25, 33, 45, 27, 4],\n",
" [ 34, 73, 23, 93, 3, 56, 66, 55, 57, 77],\n",
" [ 59, 54, 60, 8, 89, 53, 1, 94, 49, 16],\n",
" [ 5, 31, 70, 15, 79, 97, 51, 64, 83, 13],\n",
" [ 80, 68, 9, 76, 50, 87, 19, 72, 12, 39],\n",
" [ 85, 18, 63, 22, 7, 20, 41, 26, 48, 37]]),\n",
" 'fitness': 9.502222222222223,\n",
" 'generation': 0},\n",
" {'active': True,\n",
" 'chromosome': array([[ 8, 38, 18, 12, 78, 81, 6, 2, 83, 26],\n",
" [ 80, 31, 71, 69, 45, 43, 47, 36, 14, 65],\n",
" [ 40, 86, 88, 7, 46, 56, 59, 97, 82, 30],\n",
" [ 5, 15, 53, 99, 28, 91, 32, 85, 66, 9],\n",
" [ 93, 3, 89, 42, 51, 77, 58, 49, 22, 29],\n",
" [ 60, 92, 13, 74, 23, 25, 68, 70, 100, 20],\n",
" [ 27, 95, 37, 52, 33, 10, 11, 98, 17, 35],\n",
" [ 64, 41, 96, 55, 39, 84, 87, 94, 57, 50],\n",
" [ 90, 76, 16, 79, 61, 48, 63, 24, 44, 75],\n",
" [ 67, 1, 19, 4, 72, 21, 54, 73, 34, 62]]),\n",
" 'fitness': 9.472222222222221,\n",
" 'generation': 0}]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# CODE HERE\n",
"generations = sorted(generations,key = lambda e:e['fitness'],reverse = True)\n",
"generations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 繁衍生息\n",
"\n",
"接下来就要真正的“适者生存”了。在进化论中，只有优秀的基因才有资格繁衍出下一代。我们要让两个优秀染色体结合，“生出“一个孩子来。\n",
"\n",
"具体的”繁衍规则“可以多种多样，在这里我们规定如下：\n",
"* 对于id在1-50的用户，其基因来自于母亲\n",
"* 对于id在51-100的用户，其基因来自于父亲\n",
"* 如果基因有冲突（两个用户被指向同一个位置），就再随机挑选一个位置\n",
"\n",
"现在请**补全”遗传规则“**"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"import random\n",
"\n",
"def recombine(mother, father):\n",
" child = np.ones((10,10)) * -1\n",
" # 遍历每个用户\n",
" for index, uid in enumerate(df.index):\n",
" if uid <= 50:\n",
" # 如果uid <=50，则position为mother中该uid的位置\n",
" position = np.where(mother == uid)\n",
" else:\n",
" # 如果uid > 50，则position为father中该uid的位置\n",
" position = np.where(father == uid)\n",
" \n",
" if child[position] != -1:\n",
" # 处理冲突\n",
" filtered = np.where(np.equal(child, -1))\n",
" position = random.choice(list(zip(filtered[0], filtered[1])))\n",
"\n",
" child[position] = uid\n",
"\n",
" return child"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"但是这种遗传规则可能会导致”近亲遗传“，进而不利于物种的进化，还好我们可以设计一套基因变异的方案，也就是随机调换一些基因（就是用户座位）的位置，以保证生物多样性。"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"import random\n",
"\n",
"def mutate_chromosome(chromosome):\n",
" first = (random.randrange(0, 10, 1), random.randrange(0, 10, 1))\n",
" second = (random.randrange(0, 10, 1), random.randrange(0, 10, 1))\n",
"\n",
" chromosome[first[0], first[1]], chromosome[second[0], second[1]] = chromosome[second[0], second[1]], chromosome[first[0], first[1]]\n",
" return chromosome"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 可视化\n",
"\n",
"接下来我们来将每条染色体的适应性都可视化出来，为了更生物一点，我们用类似于基因图谱的形式绘制每条染色体的基因情况"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"def draw_population(population, generation):\n",
"# get_ids = np.vectorize(get_id)\n",
" figure, axes = plt.subplots(1, 10, figsize=(20, 3))\n",
"\n",
" for index, chromosome in enumerate(population):\n",
" ids = chromosome\n",
" axes[index].imshow(ids, interpolation=\"nearest\", cmap=plt.cm.plasma)\n",
" subplot_title = \"Chromosome \" + str(index)\n",
" axes[index].set_title(subplot_title)\n",
"\n",
" plot_title = \"Generation \" + str(generation)\n",
" figure.suptitle(plot_title)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x13139ba7668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"draw_population(initial_population, 0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### 又到了交配的季节\n",
"\n",
"现在就可以交配了。我们可以设定如下终止条件，如果终止条件没有被触发，就可以一直交配下去：\n",
"* 代数达到上限\n",
"* 后代的适应性超过阈值\n",
"* 后代适应性退化\n",
"\n",
"这里我们迭代最多50次，在50代交配中，只要有染色体达到或超过优质标准（距离小于5）就停止。\n",
"\n",
"现在来实现交配逻辑吧！\n"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"import copy\n",
"\n",
"most_fit = []\n",
"\n",
"# 当前的适应度\n",
"max_fitness = None\n",
"\n",
"# 适应度最高的染色体\n",
"fittest_chromosome = None"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"### 从generations取出某一代的所有染色体，并排序\n",
"def get_chromosomes_in_generation(generations, generation_num):\n",
" # Get only the chromosomes in this generation\n",
" generation = list(filter(lambda k: k['generation'] == generation_num, \n",
" generations))\n",
" return sorted(generation, key=lambda k: k['fitness'])\n",
"\n",
"\n",
"### 更新 most_fit / max_fitness / fittest_chromosome \n",
"def sort_chromosomes(generation, most_fit):\n",
" max_fitness = generation[0]['fitness']\n",
" most_fit.append(max_fitness)\n",
" fittest_chromosome = generation[0]['chromosome']\n",
" return most_fit, fittest_chromosome"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"在这个交配游戏中，每一代我们都会让适应度最好的四个染色体交配，生下两个后代，然后杀掉适应度最差的两个染色体以取而代之。为了防止数据污染，对每一代我们都复制仍存活的染色体数据。"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"# 请将以下Comment 添加到代码的合适位置\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"def copy_chromosomes(generation, generations):\n",
" new_generation = copy.deepcopy(generation)\n",
" # C. 将适应度最差的两个染色体杀掉\n",
" new_generation[-1]['active'] = False\n",
" new_generation[-2]['active'] = False\n",
" # D. 找到仍存活的染色体，并更新代数\n",
" active = list(filter(lambda k: k['active'] == True, new_generation))\n",
" for chromosome in active:\n",
" chromosome['generation'] += 1\n",
" \n",
" # B. 将新一代染色体加入到generations中并返回\n",
" generations.extend(active)\n",
" return generations\n",
"\n",
"\n",
"def mate_chromosomes(generation, generations, generation_num):\n",
" # A. 将适应度最高的两条染色体交配\n",
" child = recombine(generation[0]['chromosome'], generation[1]['chromosome'])\n",
" child = mutate_chromosome(child)\n",
" generations.append({\n",
" \"active\": True,\n",
" \"chromosome\": child,\n",
" \"generation\": generation_num + 1,\n",
" \"fitness\": calculate_chromosome_fitness(child)\n",
" })\n",
" # E. 将适应度第三和第四高的两条染色体交配\n",
" other = recombine(generation[2]['chromosome'], generation[3]['chromosome'])\n",
" other = mutate_chromosome(chromosome)\n",
" generations.append({ \n",
" \"active\": True,\n",
" \"chromosome\": other,\n",
" \"generation\": generation_num + 1,\n",
" \"fitness\": calculate_chromosome_fitness(other)\n",
" })\n",
" return generations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最后，我们用一个`main`函数将这些步骤封装起来"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"def run_ga(input_generations):\n",
" fittest = []\n",
" max_fitness = None\n",
" fittest_chromo = None\n",
" for generation_num in range(50):\n",
" if max_fitness and max_fitness < 5:\n",
" break\n",
"\n",
" generation = get_chromosomes_in_generation(input_generations, generation_num)\n",
" fittest, fittest_chromo = sort_chromosomes(generation, most_fit)\n",
"\n",
" input_generations = copy_chromosomes(generation, input_generations)\n",
" input_generations = mate_chromosomes(generation, input_generations, generation_num)\n",
"\n",
" draw_population(map(lambda d: d['chromosome'], \n",
" get_chromosomes_in_generation(input_generations, generation_num)), generation_num)\n",
"\n",
" return fittest, fittest_chromo"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313aa57e48>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313bd88ef0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313bd2e7b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313beef198>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a854390>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313bbeeac8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313be2b438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313c08c550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a85c0f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a798828>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a4c61d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a5070b8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a47fdd8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Hcux+zNEM+55DfzM8j2oj4UDg442PDx7IsfvDHGvn0J8cd6Z6B4A3APMiYkHj36A+xcEMa+fQnwyD6vnss6luy/dTvQ7NHwdy7H7O0xz7nkN2jiml+Smlh7v/UT2ePpVSemwgx+7HHM2w7zn0pxcnU722wuNUf3XdHdgjVafMDypzrJ1Df3++OYrq5Q1mUZ0xcCHw9YEcux9zNMO+59DfDKF6utgFKaUhO9vLHGvn0J918Ung34GjG7W3An+let3ZQWOGtXPoby8e25jrA8A6VBu1/RZD2MeSJEmSJEkaAUbEGUKSJEmSJEkaOm4ISZIkSZIkdRg3hCRJkiRJkjqMG0KSJEmSJEkdZsywHTgmpXGs3mfNtLF5Yz2xpP7duJeQ947Pm231cG3N4pmrZo1175P138DSzHltu/mc2ppZf1s3a6yHuG9OSmnNrOIaa0wZkzZac1yfNWlp3rul3/NA3/cHgLUnLska66lFfc8J4FGWZo2V87Lrm62SN6/H5k2qrRk7uv4+MbdrDgu65kfWQWuM2F7cqP4+H6PyXhT/9vvq71vZvbhp/RsTzbp7WtZY9mLFXqyYYWWoMwT45/IZ9iJl5+i6WHFdfJa9WCm5F82wUvq6OFIfU1+wXv1j19KF9VkD3P34hPqxMue1zbb1j/WP/Kn+9/55PMrCVN+Lw7YhNI7V2XLMx/qsOWa9vBvt6ntXqa15aPTTWWP96Lufrq258yP7ZI11wI83rq2ZHQuzxrrhm1+rrTl555Oyxjp5+YH3ZxVm2GjNcdxw2pZ91iydPTlrrLe//7Damv/eembWWLfctlFtzf8ufyRrrGVRfz+85NUPZI118Q9eUVuz7pT6++pnnzwh63g5RmwvnvDV2ppRmQv3Nu88tLYmtxdvPOPC2pqT9vtI1lj2YsVerJhhZagzBPivxw+1Fyk7R9fFiuvis+zFSsm9aIaV0tfFkfqYesXRF9WPdWv97/MAe1+8TW1N7mPqdb+tf6w/Y8rJtTXnLe/7Nu+W9ZSxiNg9Iv4eEXdHxL88okfEuIi4pHH9DRGxUdbRNaTuTrdy9vIPAmxtjmW6feltnPTEccxaPhMzLJe9WD57sT1054i9WCx7sT24LpbPXixfd4YnPPFhgH85rc8M21PthlBEjAbOBvYAtgQOjIieW7WHA4+nlF4AfAH4bKsnquenK3Xx465v8I5RxwHcjjkWpyt1cenCC/ivSR9inVHTwQyLZC+Wz15sD805Yi8WyV5sD66L5bMXy9ec4SemnAYw1Qw7Q84ZQjsCd6eU7k0pLQEuBvbtUbMv8M3Gx5cBr42Iljx3VK3xIHezGtNYLdaG6umq5liYGcvvZc1Ra7PG6LVoxGKGBbIXy2cvtofmHLEXi2QvtgfXxfLZi+VrznBMjAF4DDPsCDkbQtOB5icuzmxc1mtNSmkZ8AT86ytHRcQREXFzRNy8jAUDm7EGZD6Ps0o8J5KW5Pjok8sGacbqaV7X46w2amrzRfZigezF8g1WL5rh0DLH8rkutgfXxfL5eFq+XjJcwgAzBB9TS5KzIdTbrl/PF0TPqSGldG5KaYeU0g5jqH8VdLVSr69h/7xzXHPKsL0ueQcanAztxaFmL5bPDNuDOZbPdbE92IvlM8PytS5D8DG1JDkbQjOB9Zs+Xw+YtaKaiBgDrEJ1mplGiMlM5Yk0t/kicyzMqqOm8njXc+IwwwLZi+WzF9uDOZbPDNuD62L57MXy9ZLhWMywI+RsCN0EbBYRG0fEWOAA4MoeNVcC3e9fuT/wi5RSr7uFGh7T2ZTHeJjH02yodnfNsTAbjt6Y2V2PMGf5ozRiMcMC2YvlsxfbQ3OO2ItFshfbg+ti+ezF8jVnuCwtA5iKGXaE2vPwUkrLIuIo4BpgNPD1lNLtEXEycHNK6Urga8C3IuJuql3CA+rG3WTqQi5+0x/7rLnqB7tmfAtw7n0n1NZ0XbFh1li/PuxdtTW7nXN+1ljnPHZQbc39M9bNGuvfX/Hx2prLL/p8n9fv+KcpfOibx8JDbAWc0oocn35iIvdfvV2fNTPv6fn0095968Tv1tZMes0/ssbabaX6x6a/73Ri1lj7bvVIbc0L97gla6zNb9qqtuZtvzl9hddt8MsxHHPyR3lk8VJYwqWtyHCLjedw/alf67PmrCP/u3beAGd/+tu1NcsWr5Q11q//7021NS/99Vezxjpnp7m1Nbm9uN+bP1hbc94Hrujz+i3u3ZxPXPdxmGcvgr3YreQMj1mc8/cluOq976mtGaoM4dkcedJeBHuxW8nr4tIleWO5LlbsxWeNxF4cqRm+dIcltTXH3DAua6yRtC52Z7i8K8E8HmtFhgCbrL6QS/bq+3v44fdfmTMUXz75otqaJ2dNra0B+MMlu9XW7HbcZVljnXNf/eNl7mPqIZOPr6259J5P1NZctU/PE7x6l/XEzJTS1cDVPS77ZNPHi4G3Zh1Rw2bP7VZlz+1WZczbb/5rSulUMMfS7P7qldn91Suz8z4PcMtti82wUK/bZF1et8m6rH3GJfZioezF9tCd4/iN77YXC2UvtgfXxfLZi+XrzhBg/MZ3Pwxm2Any/qQnSZIkSZKktuGGkCRJkiRJUodxQ0iSJEmSJKnDuCEkSZIkSZLUYdwQkiRJkiRJ6jBuCEmSJEmSJHUYN4QkSZIkSZI6jBtCkiRJkiRJHWbMcB140VMTuO3Grfqs2XyTh7LGWumOCbU123/437PGOvNlc2trFm0QWWO9aMc7a2smT3kqa6xX7/VIbc2Z7/pA1ljwzsy6emNXXsz0ne7qs2ajg3+XNdZ3jziqtuatr/pS1lhzL9+2tubzn7w4a6zZ/5heW3PtWW/OGuv1/35dbc3itervX10t7Nx5s1bnypP6vk/k9uLEV95bW7P9bv+dNVZOLz586J5ZY6236YO1NdtfcWHWWO/41cq1NWce/KGsseCSzLp69mKl5F4c6gx/+slVs8Y67YM/qK0ZO2lR1lgvenHf3x8MfYatZi9WSu7FnHXxfZefljfY+OW1Ja1cF6dvPitrrLHjl9TWuC4+a6h78bxrTs0a6+7zX1lbU3IvlrwuPum6+IxFCybw5+u37rMm93eNlff6e23NK3fM+5045zF1/p/Xzxpr2vr1v6vv8vm8x9TXf2eH2pqztjqxtmb24k9kHc8zhCRJkiRJkjqMG0KSJEmSJEkdxg0hSZIkSZKkDuOGkCRJkiRJUodxQ0iSJEmSJKnD1L4OfESsD1wATAO6gHNTSl/sUbMb8APgvsZFl6eUTm7tVDVQ87rmctGSc5ifniAIgLV61pjhyDdz5lKOfPcjzH5kGf+8fxkR8X57sSz2YnuwF8vXnOGoUfZiqezF8rkutgd7sXyui50r540BlwEfSin9MSImA7dExM9SSnf0qPtNSmmv1k9Rz9eoGMXeY9/BeqM2ZnFaxPGL3r1WRGxphmUZMzr41KfXYNvtxrPrK+7nL7ct+S97sSz2YnuwF8vXnOH8+V2sP+0ee7FA9mL5XBfbg71YPtfFzlW7IZRSegh4qPHx/Ii4E5gO9LxzaISaEqsxJVYDYHxMAFiEGRZn2jpjmLZO1bKjRweAvVgYe7E92Ivla85w8uRRYC8WyV4sn+tie7AXy+e62LlyzhB6RkRsBGwH3NDL1a+IiD8Ds4BjUkq39zXWzCVw3L19H2+bZetkzetVL1lcW/PH676UNdZnXnNCbc3Ol//LGXS9uuAbe9bWvPuMr2SN9fRDq9TWXLbkqdqaxWkOwERakCHA8iVjWPDPNfqsue4L+9fOC2C99R+urXnta47JGusvo+fW1qyVJmaNtcWyVWtrTtj7T1ljjZuysLbmvSufWFtzH8cBM0dcL372VR+urbnlps/mjfXyk2prjj3ngqyxzt3tE7U1R77j91ljPXbDprU19uKzfjTz9NqaHTZ4X9ZY7d6LQ53hvfePzRpry7O2r60p+fF0AY8CH7AXsRe75ayL3379R2vnBHm3w6+eODNrrLNXc12kQ3pxa3sRKHtdPHzphllj3c3S2prS18VW/q7xhkfrM7rpti9kjfU/29Y/2+3fMh9TL9ztLbU1i5+akDXWui/6Z21NzmPq413Ls46XvSEUEZOA7wEfSCk92ePqPwIbppQWRMSewBXAZr2McQRwRHXg1XIPrRZZnhbzj+VfAXhgoBnCc3Ncb0reHVuts5TFLGA22IvFshfbQ6t70QyH3lIW8xvOBHuxaK6L5XNdbA+ui+UbjHXRx9SRLetdxiJiJarNoO+klC7veX1K6cmU0oLGx1cDK0XEv2znppTOTSntkFLaYXRMep5TV390peXc1fUV1hi1I8C8ntfnZti4/pkcV584blDnrefqYhm/4UzGMgl7sUz2YnsYjF40w6HVneFG7AL2YrFcF8vnutgeXBfLN1jroo+pI1vthlBEBPA14M6U0hkrqJnWqCMidmyMW/+cHQ2JlBL3dl3ABKaxzqjX91pjhiNfInE957EK05lA708hNMeRzV5sD/Zi+Zoz3ILen95thiOfvVg+18X2YC+Wz3Wxc+U8ZWwX4GDgLxFxa+OyjwEbAKSUzgH2B/4zIpZRvQDVASmlNAjz1QDM5x7mpOuZyHRuW3YKwJaN0/zMsCCPchcz+C2rsj7zeYRGP9qLBbEX24O9WL7mDK/mo2AvFsleLJ/rYnuwF8vnuti5ct5l7LdA1NScBZzVqkmptabEC3j5mGdfvPr6Ze+5o3Ga3zPMcORbi815B98B4Cccz9x077Y9a8xxZLMX24O9WL7mDAEu5CB7sUD2YvlcF9uDvVg+18XOlfUaQpIkSZIkSWofbghJkiRJkiR1GDeEJEmSJEmSOowbQpIkSZIkSR0m513GBsVWW87mD5d/uc+aTbY5MmusOSfvUlvzl+u3zhrr/ad8s7Zm9KSns8Y67I5Ta2tuOeitWWNd/Ittamv2G788a6zrl2WVZZk7ezXO/9J+fdass+b8rLGO+d302ppvv+PGrLHO+Nara2v+56ETssbqWqm+ZvyDXVljnfbSU2prblppdm3NU8taF2Ire/GfV3+9tuYnh70na6w3vubW2pquG6bljbXX72prbvzsm7PGshcrub344XVOqq2ZPfafWWPd+Gjf91MouxdHaobt/ngKwNK8shwjNUd7MV8r18WtPn5Vbc01r3Bd7Oa6WLEXKyM1ww1e89famqW7z8kaqxPWxa03ncONZ/T9O8IG+x+cN1jGY8nPDsh7fD72q1+qrbnr5D2yxjrkH/W/9//1bXm/93/q9P1ra3IeUx9YPjrreJ4hJEmSJEmS1GHcEJIkSZIkSeowbghJkiRJkiR1GDeEJEmSJEmSOowbQpIkSZIkSR3GDSFJkiRJkqQO44aQJEmSJElSh3FDSJIkSZIkqcOMGa4DL3l4MjM//eo+a+467Zqssd764YNqa773xW9mjfXx972ntmZC5jbaB465rLZmympPZo313gN/VVtzxkWvzBqrlZZ0BQ8s7PtudODev80a6/Rzdq6tmbb1/VljvW7z2bU14x5KWWMdu/0ptTVbr7Mga6y93vDH2pqPHX5tbc1Ox87JOl6OpQ9PYtZn+77v3HfrOVlj7b318bU1l33+W1ljHX/0u2trJvx0+6yxPvSxi2tr1txsVtZYJ/3w0tqa41Y+OWusViq5F7900Vezxjp2jfbuxZIzLPnxFGDMW7LKspSco71YaeW6uE8HrIsnXn1hbc1Hxn86a6xWshcrJffiSM3wqs+8vbZmn5eclTVWJ6yLaVwXyzZ/qs+aG4/4U9ZYe7/6I7U1l552UdZYhx7yvtqajUeNzhrrhL1uqa3Zdr/fZ401bvyS2pqvXF3/WP901tE8Q0iSJEmSJKnjZJ0hFBEzgPnAcmBZSmmHHtcH8EVgT2AhcFhKqX6LUkPqO7yPsUwA2DIibjbH8mx65O1MnjCKex5+GjMsl71YPnuxPXTniL1YLHuxPbguls9ebA+ui52nP2cIvTqltG3PO0XDHsBmjX9HAP/Xismp9fbieIA7zLFc1560GVuuPx4zLJu9WD57sT1ce9JmYC8WzV5sD66L5bMX24PrYmdp1VPG9gUuSJXrgVUjYp0Wja2hY47lM8P2YI7lM8P2YI7lM8NHIsC/AAAPR0lEQVT2YI7lM8P2YI5tJndDKAE/jYhbIuKIXq6fDjzQ9PnMxmXPERFHRMTNEXHzY4sX93+2el6C4GpOA9iiVTkuIu9FsdUaEbDHyXdz5wOLaVWGc+3FIWcvlm8wetEMh153jtiLxXJdbA+ui+VzXWwPg7Euznl8+eBMVi2RuyG0S0ppe6pTxP4rInq+9UL08jX/8pYjKaVzU0o7pJR2mDp+fD+nqudrX07kLdVi+w9alOMEpgzCTLUivz71hdz0uRfxgnXGQYsyXN1eHHL2YvkGoxfNcOh154i9WCzXxfbgulg+18X2MBjr4hqr5b1Tl4ZH1oZQSmlW4//ZwPeBHXuUzATWb/p8PSDvvSo1ZFZmaveHyzDHIq07dSUAVhoTYIbFshfLZy+2h+4csReLZS+2B9fF8tmL7cF1sfPUbghFxMoRMbn7Y+ANwF97lF0JHBKVlwNPpJQeavlsNWBLWcwSFnV/OgpzLM5Ti5czf1F1yuXyrgRmWCR7sXz2YntozhF7sUj2YntwXSyfvdgeXBc7U87bzq8NfL96hznGABemlH4SEUcCpJTOAa6meuu5u6nefu5dgzNdDdQinuAazuj+dAvgU+ZYlkfmLWP/0+8F4K5ZTwP8yAzLYy+Wz15sD805Yi8WyV5sD66L5bMX24PrYmeKlP7lKX9DYnpsko4c8+k+a/bb+/qssW7744tqa952yjezxvrq0UfW1lw4b2nWWKN7fYrlc/38F5/LGuvgV32ituZ16yyqrQH4fw/9xy0reBvBfpsWm6ZDo+8cN1trYdZY2233t9qao3+2WdZY5+5/a23NaZfsnDXW/33+/Nqarqdz9lbha595R23NESfVH2+Xz9/IHx94sv4OliGnF4+Z8cmssb6/ywdra7bY6t7aGoAbbtiqtia3F8960521NRtfcFXWWEeuekJtjb34LHsxnxlWhjpDgIlH/9xepOwcXRcrrfwZ9cq5p2eN5bpYsRcrrezFCaM2SBuPObbPmg9OXTlrLDOsDMe6mPOY+vGfnJI11sWHv6+25o0HXps11nfP27u2ppWPqZ97/V1ZY134k+1ra7ZeZ0FtzUlzTmHGkhm1E2vV285LkiRJkiSpEG4ISZIkSZIkdRg3hCRJkiRJkjqMG0KSJEmSJEkdxg0hSZIkSZKkDuOGkCRJkiRJUodxQ0iSJEmSJKnDuCEkSZIkSZLUYcYM14HXnPY47z3ssj5rfvfDf8saa6/Df1Rf9JI5WWOtOXV+bc0vz/161li3nvf62prZ39s+a6xvXXl6bc3NX94zayweyivLsdrkhbzl5X/us2b7g3+ZNVbaoT6jRS8+JmusF/6/62prvrr7n7LGuu7svWtr/u2KvPvEuM8vr605+uj/qK15gHuzjpdjjbWe4N0H/LDPmp+98b1ZY735+i/U1sw46o1ZY+X04nUXnJs1FpOW1pYsfbwra6gTDvxtbc28OatmjWUvVuzFihlWhjrDys8z6+qZY6XkXnRdrLguPquVvTht8wdqa776jbOzxmr3Xtxo0lLOf/msPmtG6uPppEvyfo/93UWvqa0pfV1ce9tZfOC6E/qsuWqX/8waa4+Dr6mteeQf07PGynlMvfa0S7LGWnjIg7U1k3+wetZYW+9zQ23Nn7+/c23NhOufzjqeZwhJkiRJkiR1GDeEJEmSJEmSOowbQpIkSZIkSR3GDSFJkiRJkqQO44aQJEmSJElSh3FDSJIkSZIkqcPUvu18RGwONL/f2ibAJ1NKZzbV7Ab8ALivcdHlKaWTWzhPPU/3PzWXj992RfenW0bEk5hjUeYxi2v5UuPjhzDD8vToQ4DtIuIDZlgWe7F8zRk22IsFshfL57rYHuzF8rkudq7aDaGU0t+BbQEiYjTwIPD9Xkp/k1Laq7XTU6tsuPLqfPsVhwOw089OuwNYD3Msyqqsy/58BoDL+ChzmbEQMyxKcx8uT13sfO1nuzDD4tiL5WvOsIsuzuMge7FA9mL5XBfbg71YPtfFztXfp4y9FrgnpXT/YExGQ2YK5li0pSwCMyzaTY/NAHjaDMtmL5bvQf4K9mLx7MXyuS62B3uxfK6LnaX2DKEeDgAuWsF1r4iIPwOzgGNSSrf3LIiII4AjANZdeWXmz16lz4Ptut+vsib17hPeXlvzhdk/yRrrDTd9ubbm+n0PyBprq1fdWltz2invyBrrdb/fprbmZb89N2ssxjMVnntOYJN+5bj22FVYuGBCn4e7+fzXZk1rx1Wvqq353e2fyxpr7y2Or61ZGl1ZY63WtVJtzXZfeknWWButP7u25sMLltXWLHh6PrSoFzeYNoY1D7q5z+O98UUP1s4J4JB1P1Fb851vnp011uTV59fW/OH0/bLG2nibe2prvnj23lljve6l99XW7HroT2trzv7OnQBzV3B1bYZgL/am5F40w8pQZ7h46U+hy16E/BxfQd/fH5TdixtMG8Oah93U5/FcF5/luljJ7cX97MXOWBdHL8oa66u3rFdbU/q6uMEaY5l4dd+/9+91+tdr5wVw4F7H1tZ84s19/17T7Y3vurq25qbvvCZrrO33XNFd/lkfO+CYrLFyHlP/7aBra2sm3PlU1vGyzxCKiLHAPsB3e7n6j8CGKaWXAF8GruilhpTSuSmlHVJKO6w+fnzuodVCS5YkgFVoUY6rrLTyoM1VvUtpGbAYWpThmquOHrS5qndLlnXxo7/MBXi8l6uzMgR7cbi1uhfNcOiltIxlXXeCvVi0lq+Lq7kuDjXXxfbguli+wVgX15zc33NQNJT685SxPYA/ppQe6XlFSunJlNKCxsdXAytFxBotmqNa6NprFgIsNMdyLe+6C1gJMyzXNXfMZdv1JwH8y59pzLAc9mL5lnfdxehYF+zFotmL5XNdbA/2YvlcFztPfzaEDmQFp/9FxLSIiMbHOzbGXdFpZhpGl136FMBjvV1njmVY1vVnYgWnCJthGS69ZTZve+navV5nhuWwF8u3rOvPjBnd+6n4ZlgOe7F8rovtwV4sn+ti58naEIqIicDrgcubLjsyIo5sfLo/8NfG8wm/BByQUkqtnqyen4ULu7ju54sA5nVfZo5lSWkJy7ruhqbF1gzLsnDJcn7xt8fY9yVrPnOZGZbHXixfd4ZjRm31zGVmWB57sXyui+3BXiyf62JnynpCX0ppIbB6j8vOafr4LOCs1k5NrTZx4ijunbUhq42/b3n3ZeZYloixTBr3CRYuefYFKM2wLBPHjubBz+76nMvMsDz2Yvm6M2xmhuWxF8vnutge7MXyuS52pv6+7bwkSZIkSZIK54aQJEmSJElSh3FDSJIkSZIkqcNkvYbQYBg79Sk2ePsNfdasss9BWWO9LY2urdn5Ky/NGuvvW86srbnwV1tkjfXpq3t9U7bnOO2VJ2eN9fWDjqmtWf/QPbPGgrPrSzJN3HwO2/7yG33W/O+UU7PGmv6CB+trRt+SNdZXjvhFbc2Tj66SNdbEVZ6qrRn3sduyxnr9tvfX1nzw4A/W1pyXxmYdL8eyeROY9/1t+qzZ6At5/ZPTiy84/G1ZY93+qWtqaz5z7huzxvrPqU/U1pzwua9ljXXh6QfW1mxx+/pZY7WSvVgpuRfNsDLUGQLkrcR5zLHSyhz3POi/a2t+1sp18fEJzLv0xX3WuC4+y3WxUWMvAq3txcnrz2XXM7/dZ81ndz0xaywzrAzHurhs4Tjm3rxJnzWbnt37O5v1lPOYutdVG2aN9Zs16x8Hc3/vn/7JXWtrTpj1yayxLtz2I7U1r31Z/Z7FqJWXZB3PM4QkSZIkSZI6jBtCkiRJkiRJHcYNIUmSJEmSpA7jhpAkSZIkSVKHcUNIkiRJkiSpw7ghJEmSJEmS1GHcEJIkSZIkSeowbghJkiRJkiR1GDeEJEmSJEmSOkyklIbnwBGPAvf3uHgNYM4wTKcVSpr7himlNVsxUC85lnQ79KaU+Q9mhlDO7dCbkuZuL65YKfO3F1espLnbiytWyvztxRUrae724oqVMn97ccVKmru9uGKlzD8rw2HbEOpNRNycUtphuOcxECXPvZVKvx1Kn3+rlHw7lDz3Vir9dih9/q1S8u1Q8txbqfTbofT5t0rJt0PJc2+l0m+H0uffKiXfDiXPvZVKvx1Kn39PPmVMkiRJkiSpw7ghJEmSJEmS1GFG2obQucM9geeh5Lm3Uum3Q+nzb5WSb4eS595Kpd8Opc+/VUq+HUqeeyuVfjuUPv9WKfl2KHnurVT67VD6/Ful5Nuh5Lm3Uum3Q+nzf44R9RpCkiRJkiRJGnwj7QwhSZIkSZIkDTI3hCRJkiRJkjrMiNgQiojdI+LvEXF3RHxkuOfTXxExIyL+EhG3RsTNwz2f4VJyjmZYKTlDMMduJedohpWSMwRz7FZyjmZYKTlDMMduJedohpWSMwRz7FZyju2a4bC/hlBEjAbuAl4PzARuAg5MKd0xrBPrh4iYAeyQUpoz3HMZLqXnaIblZwjmCOXnaIblZwjmCOXnaIblZwjmCOXnaIblZwjmCOXn2K4ZjoQzhHYE7k4p3ZtSWgJcDOw7zHNS/5lj+cywPZhj+cywPZhj+cywPZhj+cywPZjjCDQSNoSmAw80fT6zcVlJEvDTiLglIo4Y7skMk9JzNMPyMwRzhPJzNMPyMwRzhPJzNMPyMwRzhPJzNMPyMwRzhPJzbMsMxwz3BIDo5bLhfR5b/+2SUpoVEWsBP4uIv6WUfj3ckxpipedohuVnCOYI5edohuVnCOYI5edohuVnCOYI5edohuVnCOYI5efYlhmOhDOEZgLrN32+HjBrmOYyICmlWY3/ZwPfpzodrtMUnaMZAoVnCObYUHSOZggUniGYY0PROZohUHiGYI4NRedohkDhGYI5NhSdY7tmOBI2hG4CNouIjSNiLHAAcOUwzylbRKwcEZO7PwbeAPx1eGc1LIrN0QyfUWyGYI5Nis3RDJ9RbIZgjk2KzdEMn1FshmCOTYrN0QyfUWyGYI5Nis2xnTMc9qeMpZSWRcRRwDXAaODrKaXbh3la/bE28P2IgOr2vDCl9JPhndLQKzxHM6T4DMEcgeJzNEOKzxDMESg+RzOk+AzBHIHiczRDis8QzBEoPse2zXDY33ZekiRJkiRJQ2skPGVMkiRJkiRJQ8gNIUmSJEmSpA7jhpAkSZIkSVKHcUNIkiRJkiSpw7ghJEmSJEmS1GHcEJIkSZIkSeowbghJkiRJkiR1mP8PZSRcEjf8auAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313bc0f7f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a8990f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313be7e588>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313aadfba8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a837780>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313aa81e48>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313c0ff9b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313bb9beb8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a78c5c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313be54710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313bc70dd8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313bdfdf60>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313aa95550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1313bef8cf8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a46d780>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313bbfc2e8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313aa8f550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a78bd68>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a489a20>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a495908>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a453668>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313aa825c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313bdb5f60>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a9ebb00>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313c052f98>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313aa94080>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a4a82b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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aBjh4gD/PdKonzDOp3hH9buDwfr7lYGBao/YzwJtTSnMGsu0W5miG/c+h1Qy/QbWQcAjw0cbtwway7VaYY+0cWslxd6pPAHg1MDciFjT+DOolDmZYO4dWMgyq69kfodqX76V6H5qbBrLtFudpjv3PITvHlNL8lNLsnj9Ux9OFKaXHB7LtFuZohv3PoZVeXJPqvRWeoPpf19cCr0vVKfODyhxr59Dq65t3U729wYNUZwycB3xrINtuYY5m2P8cWs0QqsvFvptSGrKzvcyxdg6tPC/OA94IHNuovRm4jep9ZweNGdbOodVe/FBjrjOBjakWalsWQ9jHkiRJkiRJGgFGxBlCkiRJkiRJGjouCEmSJEmSJHUZF4QkSZIkSZK6jAtCkiRJkiRJXWbMsG04JqdxrNdvzUZj88Z6cln9p3EvI+8Tn7fdfnZtzZJZa2eNdc+8+h9geea8dtzu0dqaB/+ySdZYD3HvoymlDbKKa4zUHJ/zwvociayhuPOWDWtrcnN84Q71Oc6+uT7HucxhUZqf+RP0b6RmaC+2ZqTmaC/mM8PKUGcI3dGLnX5MtRcb7MWntDPHtTaYW1tz9wPrZI21zU71OUberh+ROdqLlVhZWwLAHXfUZ7jds+ZnjTVqo8W1NcPRi+tPGZO22mBcvzWPzczb1MPL6z8Qa/OJK7LGWri4/zkBzGF51lg5H9O18ai8pZdlK+vP2cn5TZ3HHBanebW9OGyfMjYptkxTx5zQb80HtshrysvuWau25qHRS7PG+tmtn66tufPD+2eNdfDPn11b80gsyhrr4d9/s7bm5N1Pyhrr5JWH3JhSmpZVXGOk5njJjNNqa1aOz3uu2nXj99TW5OZ47yP1OX5+vfocv7HyBB5M97TlyXakZmgvtmak5mgv5jPDylBnCN3Ri51+TLUXK/bi09qZ477vuqS25g0nHJQ11v/Nq89x9OJyc7QXK6MX5v0be8fnv7e25vfH/SZrrLEfvrW2Zjh6cdo2k9L1p03tt+a8447KGusLs+sXaL6wc/0CLsCNt2xVW/O1lQ9njbUiYxX3hEl5i14PPlm/ULUg49f+fE7g4fT32l7MumQsIl4bEX+NiLsj4sN9PD4uIn7YePz6iNgqZ1wNrbvTzZy18v0AzzfHMvVk+AgzMcNy2Yvlsxc7g71YPnuxM9iL5bMXy9eT4VdXvg9go96Pm2Fnql0QiojRwFnA64CpwCER0XuJ70jgiZTSc4AvAp9t90T1zKxKq/j5qm/z1lHHA9yOORanOcMN2AzMsEj2Yvnsxc5gL5bPXuwM9mL57MXyNWd4zKjPA6xrht0h5wyhXYG7U0r3pJSWAT8ADuhVcwBwbuP2BcArI6ItpwqqPR7gbtZhI9aJZ0F1maM5FqY5w6jeJMAMC2Qvls9e7Az2Yvnsxc5gL5bPXixfc4ajYwzA45hhV8hZENoUmNn09azGfX3WpJRWAE/CP78DWEQcFRHTI2L6ChYMbMYakPk8wVrxD5GYY2HMsDOYY/nMsDOYY/nMsDOYY/nMsHx9ZLiMAWYI/5jjnHl5b/Ks4ZGzINTXql/vd8nKqSGldE5KaVpKadoYJufMT23T5xubmWNRzLAzmGP5zLAzmGP5zLAzmGP5zLB87csQ/jHHDaYM2webK0POgtAsYPOmrzcDHlxdTUSMAdaiOs1MI8SarMuT6bHmu8yxMGbYGcyxfGbYGcyxfGbYGcyxfGZYvj4yHIsZdoWcBaE/AttGxLMjYixwMHBpr5pLgXc0br8Z+HUars+zV582ZRseZzZPpEegWt01x8I0Z5iqxXgzLJC9WD57sTPYi+WzFzuDvVg+e7F8zRmuTCsA1sUMu0LkZBgR+wBfAkYD30opnRoRJwPTU0qXRsR44HvATlSrhAenlO7pb8wXrLdBuvj1b+x3uz+9ZM+sH+LoP59UW7Pq4i2zxrrm/FfU1rzs69/JGusP/31obc2M+zbJGuuCB8fV1lx0/lf7ffyyP83luHNn8reHli4FTmlLjutvkC7Z9w39bvcnP35p7dwBjvjAD2trJr/ib1ljXfX+t9fW7PK7/5c11i2vekdtTVtzvPbU1T522R8WcNwX5zBj9nKWLedj9uJ3ssayFysjtRenXfWdrLH+/JohznGoe7HgDEs8nsLTOf5t5vL29aLHVGDojqk9x9MZc5axbEWyF+3Fp5Sc43dv2CprrCNfUr9Nnxcr9mIlJ8OVq+CeB5Y/kFLa7JlmCDBt24nphjOe22/N1af3n3OPz16zVW3NpdP7P970mD+1/r2Nplxfv08BDtvr47U13z7nf7LGWrV0jdqa2Hdmbc3u+8/kxluW1L7pd9YFfSmly4DLet33iabbS4ADc8bS8Nlnp7XZZ6e1GXPQ9NtSSqeCOZZmnz0ms88ek9ntHTOYfucSMyyUvVg+e7Ez9OQ4Zre77MVC9RxPd/vIHUz/+0IzLJS9WD6fF8vXkyHAmN3umg1m2A1yLhmTJEmSJElSB3FBSJIkSZIkqcu4ICRJkiRJktRlXBCSJEmSJEnqMi4ISZIkSZIkdRkXhCRJkiRJkrqMC0KSJEmSJEldxgUhSZIkSZKkLjNmuDa8eOEEbrlh+35rttv6oayx1rhjQm3N0gPvzxpr9I9W1tYs3iKyxnrernfW1qw5ZWHWWC/f9+Hami8d8b6sseBtmXX1Fi+YwJ+ve36/Nbk5Ttpudm3Nzi/776yxvvSvj9XWzDpk/6yxdj3ot7U1U2eulzXW3kvG1tZ86eWfqK15eMnHs7aXY6h7cecPvjFrrJwM7cWnDXUvzpu2LGus0aPrj6kz37ZP1lgd34tdcDzdaPP6/pm6+21ZY7Urw0obe9FjKjD0x9SSe/HyY96ZNdbESYtqa+zFp5V8TP3gG27IGmvs+Prn4qHOseReXPS8lDVWzmubkv+dUWlfL6Zlo1k+a+1+a15y4o+yxnroqHfX1nzpJZ/MGuuwo39SWzNv8uKssT55yNW1NVee+W9ZY+38sptqayZsOKu2ZlXmSo9nCEmSJEmSJHUZF4QkSZIkSZK6jAtCkiRJkiRJXcYFIUmSJEmSpC7jgpAkSZIkSVKXqX3v6YjYHPgusBGwCjgnpfTlXjUvAy4B7m3cdVFK6eT2TlUDNXfVY5y/7OvMT08SBMCGvWvMcORrzvHxNIeIeK+9WBZ7sTPYi+WzFzuDvVg+e7Ez2Ivlsxe7V86Hka0Ajksp3RQRawI3RsQvU0p39Kr7fUpp3/ZPUc/UqBjFfmPfymajns2StJiPLX7nhhEx1QzL0pzjGYs/yoNpxn/Zi2WxFzuDvVg+e7Ez2Ivlsxc7g71YPnuxe9VeMpZSeiildFPj9nzgTmDTwZ6Y2mdKrMNmo54NwPiYALAYMyxOc46jYhTYi8WxFzuDvVg+e7Ez2Ivlsxc7g71YPnuxe+WcIfSUiNgK2Am4vo+HXxwRfwYeBD6QUrq9v7FmLYPj7+l/ey9YsXHWvD58wNG1NTf95itZY11z43Nqa7b60Euyxrrsx3vV1rzzjLOzxlr60Fq1NRcsW1hbsyQ9CjCRNmQI7c1x722frK259nMXZY31xeOPrK358GU/yBrr6wceX1vzkj3/nDXW8mX1LZeT42OrlsII7MW9dlhSW5Pbi595xSdra+zFp7X1mHroEbU1ub2Yc0y1FyseTytDneFI7sWhPqbuftE/XSHQp+9+e5/amqE+ppbciy8/4udZY9mLvkbtbSTmOFJ70dc2leHoxZXLxrDg/vX7rfnaf9f/ex7gFXvcWVvz9Rljs8Y67cyda2uOXL5l1liH7ndDbc03b31W1lh7H3tfbc33n1P/e/PEo6dkbS97QSgiJgMXAu9LKc3r9fBNwJYppQURsQ9wMbBtH2McBRxVbXid3E2rTVamJfxt5dkAMweaIZjjcFuZlrCUOWAvFste7Az2Yvnsxc5gL5bPXuwM9mL5BqMXN5syYRBnrGcq61PGImINqsWg/00p/dPSaUppXkppQeP2ZcAaEfFPy4AppXNSStNSStNGx+RnOHW1YlVayV2rzmb9UbsCzO39eG6GjcfNcZj05DiGSdiLZbIXO4O9WD57sTPYi+WzFzuDvVi+werF9SaOG9R565mpXRCKiAC+CdyZUjpjNTUbNeqIiF0b4z7Wzolq4FJK3LPqu0xgIzYetXefNWY48jXnuAZT+qwxx5HNXuwM9mL57MXOYC+Wz17sDPZi+ezF7pVzydgewGHArRFxc+O+E4AtAFJKXwfeDPxnRKygegOqg1NKaRDmqwGYz995NF3HRDbllhWnAExtnOZnhgVpznEJj9DoR3uxIPZiZ7AXy2cvdgZ7sXz2YmewF8tnL3av2gWhlNLVQNTUnAmc2a5Jqb2mxHN40Zin39zxuhXvuqNxmt9TzHDka87x1hWnsiDN2LF3jTmObPZiZ7AXy2cvdgZ7sXz2YmewF8tnL3avrPcQkiRJkiRJUudwQUiSJEmSJKnLuCAkSZIkSZLUZVwQkiRJkiRJ6jI5nzI2KLaf+gjXXvTVfmu2fsHRWWNde/httTWXH/POrLHee8q5tTVv+cghWWP95KrTamtuOOlNWWP94NcvqK15w/iVWWNdtyKrLMvUTedy9bE/7bfmuR95Td5g906uLbnq26/LGurDP67f9/u9+kNZY13yp1Nqa6Yfe1DWWO3KcebK0Vnby9HOXnz05D1qa2697vlZY9mLrWlnL844/39ra6446dCssezFfB5PK0OdIbS3F0s+po6evDRrrMPvOLW25sZDD8way16EF3/wjVlD3XSJvdiKqS94hD9c1v/732679bvyBhviY+qS7fN2xFG/GXk5jtRe9LVNZTh6ccxai1ln3/7/vf6iK6dljfWBP2xaW/Prz5+fNdaSx9asrRn3X9/MGmvVGvU1P3zg0qyx9tn5hNqa+0bNr62ZvWJV1vY8Q0iSJEmSJKnLuCAkSZIkSZLUZVwQkiRJkiRJ6jIuCEmSJEmSJHUZF4QkSZIkSZK6jAtCkiRJkiRJXcYFIUmSJEmSpC7jgpAkSZIkSVKXGTNcG142e01mffrl/dbcddoVWWMtP/q+2ppXfGtG1lgffc+7amt2ylxGe/xnz6+tmbLOvKyxjjnkt7U1Z5z/0qyx2ilGJUZPWNZvzQ1H/SlrrKW7L6ytefH+V2eN9cHXf7S2JjfHUTMm1dZsvePdWWO9Y3z/+wrg7Mt2rq1ZmrW1PPZixV58mr1YGepeNMPKUGfYbu08ph74wUNray788rlZY+UcUydk5vi+D1xQWzPUx9SSe/GqD/8yayx7sTUxdw1GXbpJvzW5Oe5/4Htra75/wsVZY+XkmNuLJ198Wm2Nz4sVnxcrw9GLix9eizu+8Np+a7Z/0W1ZY21406traz7zgf/IGuuQN9fnfftLX5k11jV/26C2Zq/tH8oa67OvubO25oVHXllbs9uHHs3anmcISZIkSZIkdZmsM4Qi4j5gPrASWJFSmtbr8QC+DOwDLAIOTynd1N6p6pn6X97DWCYATI2I6eZYnp4Mn+RhzLBc9mL57MXOYC+Wz17sDPZi+ezFzmAvdp9WzhB6eUppx96/FA2vA7Zt/DkK+J92TE7tty8fA7jDHMu1Lx9jHTbFDMtmL5bPXuwM9mL57MXOYC+Wz17sDPZid2nXJWMHAN9NleuAtSNi4zaNraFjjuUzw85gjuUzw85gjuUzw85gjuUzw85gjh0md0EoAb+IiBsj4qg+Ht8UmNn09azGff8gIo6KiOkRMf3xJUtan62ekSC4jNMA/qVdOc5ZsHxwJqs+9WT4BA9gL5bLXizfYPSiGQ69wehFj6lDy17sDD4vls9e7AyD0YtPLF08OJNVW+QuCO2RUtqZ6hSx/4qI3h/3EH18T/qnO1I6J6U0LaU0bd3x41ucqp6pAziRN1UN/jfalOMGk9cYhJlqdXoyXIuNwF4slr1YvsHoRTMceoPRix5Th5a92Bl8XiyfvdgZBqMX1xk3YRBmqnbJWhBKKT3Y+PsR4MfArr1KZgGbN329GfBgOyao9pnEuj03V2CORerJcBSjwQyLZS+Wz17sDPZi+ezFzmAvls9e7Az2YvepXRCKiEkRsWbPbeDVwG29yi4F3h6VFwFPppQeavtsNWDLWcI2hKPuAAANVklEQVQynjpdbxTmWJzmDBOrwAyLZC+Wz17sDPZi+ezFzmAvls9e7Az2YnfK+dj5ZwE/rj5hjjHAeSmlyyPiaICU0teBy6g+eu5uqo+fO2JwpquBWsyTXMEZPV/+C/ApcyxLc4ZP8hDAz8ywPPZi+ezFzmAvls9e7Az2Yvnsxc5gL3anSOmfLvkbEpvG1unoMZ/ut+YN+12XNdYtNz2vtuYtp5ybNdb/O/bo2prz5ua9wdnoPi+x/EdXfu/srLHe/tb31da8auO8N+z694f+48bVfIxgy3JyPPzfr8ga6/dX7FZb85pDrswa6/++sV9tTTtz/MkpF2aN9a4T3lZbk5PjSY+ewn3L7qufWAZ7sWIvPs1erIzEXjTDp7UrQxj6XuyGY+qvfv35rLEO2+vjtTX2YsVebI05VnxerORk+N8Pzcsa61NrPqu2puQMob29OGHUFunZYz7Ub837152UNdZOO/2ltubYX26bNdZ33nZDbc1J574sa6z/+cJ3amtuuzxvd157/dTamvecf3ptza7vvZvpf1tU+wvWro+dlyRJkiRJUiFcEJIkSZIkSeoyLghJkiRJkiR1GReEJEmSJEmSuowLQpIkSZIkSV3GBSFJkiRJkqQu44KQJEmSJElSl3FBSJIkSZIkqcuMGa4Nb7DRExxz+AX91vzhJy/JGmvfI39WX7TDo1ljbbDu/Nqaq875VtZYN39j79qaOddtmzXW9y49vbZm+lf3yRqLh/LKcmy05RyO/+hZ/dZc/uU3ZY114Infq625/9fPzxorJ8eff+inWWON3/zx2pqVuzyRNdb3dvl0bc30z+9fWzPhuqVZ28thL1ZK78V11lnAga++ut+aP/1hh6yx7MXKUPeix9PKUGcItLUXPaZWHrlw56yx2nVMtRcr9uLTSs7x8hMuzRpr3MZza2t8XqzkZLhbZoY3Xzextqadvcjz6nOGkduLo1IwKa3Rb83hnzsna6w0rf4577KL817TT9zl/tqayee+Imusi7/yxtqaTTaZkzXWuDVW1tYs3WFJbc2qiauytucZQpIkSZIkSV3GBSFJkiRJkqQu44KQJEmSJElSl3FBSJIkSZIkqcu4ICRJkiRJktRlXBCSJEmSJEnqMrUfOx8R2wE/bLpra+ATKaUvNdW8DLgEuLdx10UppZPbOE89QzMWPsZHb7m458upETEPcyxKc4b3L3ocMyxPrz4E2Cki3meGZbEXy2cvdgZ7sXz2YmewF8tnL3av2gWhlNJfgR0BImI08ADw4z5Kf59S2re901O7bDlpPb7/4iMB2O2Xp90BbIY5FqU5w7df+y3+uuDhRZhhUZozXJlWsfuVn12FGRbHXiyfvdgZ7MXy2YudwV4sn73YvVq9ZOyVwN9TSjMGYzIaMlMwx6ItWrkMzLBof3z8PoClZlg2e7F89mJnsBfLZy92BnuxfPZid6k9Q6iXg4HzV/PYiyPiz8CDwAdSSrf3LoiIo4CjALZYdxxrbv1wvxvb8w2/zZrUOz95UG3NFx+5PGusV//xq7U11x1wcNZY2+91c23Naae8NWusV13zgtqaf736nKyxGM+6wFdW82hLOW6+yRjS3rP73dxLZ12VNa23/ft/1tac9JbrssZ61c2r+/GedvM+h2SNtduRv6it+fjzPpU11qt2ube2ZtMtH6ytmb9yMdiLRffiV46aAzfx2Goers0Q/rkXn/2ZK/rd5kbfnlk7L8jrxe+dfXbWWFsdW9//1x1rL4LH0x5DneFv7roFaF8vbjJpEvMfWavfbXpMfVq7jqkLN30SFtuL9uLIz/GVt55RW/On1xyWNdZIzNHnxUo7e/Gju5ySNdaI7cXNx/Drmt/76W88sHZeAA+dumFtzesvrX++A1jww+fV1iwhZY11yf2Ta2vOOuhXWWMtWTy+tmbDbY6orVm07Kys7WWfIRQRY4H9gf/r4+GbgC1TSjsAXwUu7qOGlNI5KaVpKaVp66+5Ru6m1UbLliWAtWhTjhusN3rQ5qq+LVu1kvnLl4K9WKxlyxI//9kigCf6eDgrQ7AXh1u7e9EMh96yVSu56qF7oY29uN74+hdyaq9lyxJPzl0F9mKxBqMXzXHo+bxYvsHoxfXNcURr5ZKx1wE3pZT+6VSClNK8lNKCxu3LgDUiYv02zVFtdOUViwAWmWO5rp49g/Gjx2CG5bryikXssONYgBW9HzPDctiL5bt69gymrr0B2ItFu/KKRUycGPZiwezFzuDzYvnsxe7TyoLQIazm9L+I2CgionF718a4qzvNTMPogh8tBHi8r8fMsQyXzbyLtdbo+3+gzbAMF/xoIW96S9+nlpphOezF8l028y722fy5fT5mhuW44EcLWXvdvl/SmmMZ7MXO4PNi+ezF7pO1IBQRE4G9gYua7js6Io5ufPlm4LbG9YRfAQ5OKeVdcKchs2jRKn7zq8UAc3vuM8eyLF6xnGsemcmUseOeus8My9LTh/v+26Sn7jPD8tiL5evJ8FWbbvPUfWZYnp5j6tprP/2S1hzLYi92Bp8Xy2cvdqesN5VOKS0C1ut139ebbp8JnNneqandJk4cxT0Pbsk64+9d2XOfOZZlwpg1uGa/d/KWX/3wqfvMsCw9fdjMDMtjL5avJ8NmZlienmPqy3d/4Kn7zLEs9mJn8HmxfPZid2r1Y+clSZIkSZJUOBeEJEmSJEmSuowLQpIkSZIkSV0m6z2EBkOMXcGYLZ/ot2aL9+yTNdZb0ujamt3P3iVrrL9OnVVbc95v/yVrrM/94Ae1Nae99OSssb516AdqazZ/R97+grMy6+otfWAKM07Yu9+aXS7aPGusnBxfe9E2tTUAV6/z4tqa3Bw33ab+d+JTt38sa6xzX35Cbc0rv3Bubc342+ZlbS+HvVixF5+Wk+Nz/+uNWWNdfeTNtTX2YsPcsaSf9p/R5p99UdZQHk8rORkCcGFeWY6x6y5ki4Ou77dmrf0PzRprpB5TP31Znx86+w+G+pi6/N4fZW0vi70IlN+LIzfHPWtrSs6xnc+L/jujUnovjloCE//af82vr94+a6zDDv9Fbc3MT70ia6xxk5bU1hz3pmuzxpq41sLamo+d/qassc4674zamtkz162t2fMr87O25xlCkiRJkiRJXcYFIUmSJEmSpC7jgpAkSZIkSVKXcUFIkiRJkiSpy7ggJEmSJEmS1GVcEJIkSZIkSeoyLghJkiRJkiR1GReEJEmSJEmSuowLQpIkSZIkSV0mUkrDs+GIOcCMXnevDzw6DNNph5LmvmVKaYN2DNRHjiXth76UMv/BzBDK2Q99KWnu9uLqlTJ/e3H1Spq7vbh6pczfXly9kuZuL65eKfO3F1evpLnbi6tXyvyzMhy2BaG+RMT0lNK04Z7HQJQ893YqfT+UPv92KXk/lDz3dip9P5Q+/3YpeT+UPPd2Kn0/lD7/dil5P5Q893YqfT+UPv92KXk/lDz3dip9P5Q+/968ZEySJEmSJKnLuCAkSZIkSZLUZUbagtA5wz2BZ6DkubdT6fuh9Pm3S8n7oeS5t1Pp+6H0+bdLyfuh5Lm3U+n7ofT5t0vJ+6HkubdT6fuh9Pm3S8n7oeS5t1Pp+6H0+f+DEfUeQpIkSZIkSRp8I+0MIUmSJEmSJA0yF4QkSZIkSZK6zIhYEIqI10bEXyPi7oj48HDPp1URcV9E3BoRN0fE9OGez3ApOUczrJScIZhjj5JzNMNKyRmCOfYoOUczrJScIZhjj5JzNMNKyRmCOfYoOcdOzXDY30MoIkYDdwF7A7OAPwKHpJTuGNaJtSAi7gOmpZQeHe65DJfSczTD8jMEc4TyczTD8jMEc4TyczTD8jMEc4TyczTD8jMEc4Tyc+zUDEfCGUK7AnenlO5JKS0DfgAcMMxzUuvMsXxm2BnMsXxm2BnMsXxm2BnMsXxm2BnMcQQaCQtCmwIzm76e1bivJAn4RUTcGBFHDfdkhknpOZph+RmCOUL5OZph+RmCOUL5OZph+RmCOUL5OZph+RmCOUL5OXZkhmOGewJA9HHf8F7H1ro9UkoPRsSGwC8j4i8ppd8N96SGWOk5mmH5GYI5Qvk5mmH5GYI5Qvk5mmH5GYI5Qvk5mmH5GYI5Qvk5dmSGI+EMoVnA5k1fbwY8OExzGZCU0oONvx8Bfkx1Oly3KTpHMwQKzxDMsaHoHM0QKDxDMMeGonM0Q6DwDMEcG4rO0QyBwjMEc2woOsdOzXAkLAj9Edg2Ip4dEWOBg4FLh3lO2SJiUkSs2XMbeDVw2/DOalgUm6MZPqXYDMEcmxSboxk+pdgMwRybFJujGT6l2AzBHJsUm6MZPqXYDMEcmxSbYydnOOyXjKWUVkTEu4ErgNHAt1JKtw/ztFrxLODHEQHV/jwvpXT58E5p6BWeoxlSfIZgjkDxOZohxWcI5ggUn6MZUnyGYI5A8TmaIcVnCOYIFJ9jx2Y47B87L0mSJEmSpKE1Ei4ZkyRJkiRJ0hByQUiSJEmSJKnLuCAkSZIkSZLUZVwQkiRJkiRJ6jIuCEmSJEmSJHUZF4QkSZIkSZK6jAtCkiRJkiRJXeb/A+wRuZU1ybxLAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a85fcf8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313a8999e8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a7f72b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a7d91d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313aa4cd68>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x1313a8f9588>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1313bc1df60>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x1313bb85b38>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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