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deep_hedging_training_algorithms.ipynb
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"colab": {
"name": "deep_hedging_training_algorithms.ipynb",
"provenance": [],
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"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/jteichma/52343bd328baa4a7f4640b44b684256d/deep_hedging_bs_conditionalrewards.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "e2AxQWQN59kC"
},
"source": [
"# Deep Hedging, Bayesian Optimization, Training Algorithms and Randomness"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "WCk-uKqq5yzO"
},
"source": [
"Deep Hedging is an important instance of Machine Learning in Finance where a non-standard neural network is trained to learn the hedging actions of an informed trader. We shall focus in the sequel on one implementation of this artifcial trader and analyze the training algorithms behind."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dbaRraEo6ajW"
},
"source": [
"#Deep Hedging"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "B2w3cfW159kK"
},
"source": [
"Deep Hedging goes back to the following [paper](https://arxiv.org/abs/1802.03042) by Hans Bühler, Lukas Gonon, Josef Teichmann and Ben Wood. \n",
"\n",
"The main idea is to parametrize the hedging strategies (at each time) via neural networks which can depend on input variables chosen by the user, for instance the current price, the past strategy, etc.\n",
"This then allows to solve a potentially high dimensional hedging problem for many assets whose dynamics are described by an arbitrary given arbitrage free model even in the presence of transaction costs.\n",
"\n",
"Let us exemplify first the idea by the Black Scholes model in one dimension."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "xdUMvkQp59kM"
},
"source": [
"# Deep Hedging exemplified by means of the Black Scholes model"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "XmfNvCFo59kN"
},
"source": [
"Let $T$ be a finite time horizon and consider on a filtered probability space $(\\Omega, (\\mathcal{F}_{0\\leq t\\leq T}), \\mathcal{F}_T, P)$ a standard Black Scholes model with interest rate $r=0$ and the price of the risky asset $S$ being described by\n",
"\n",
"$$\n",
"dS_t=S_t\\mu dt + S_t\\sigma dW^{\\mathbb{P}}_t, \\quad S_0=S_0\n",
"$$\n",
"\n",
"under the physical measure $\\mathbb{P}$. Here $\\mu \\geq 0$, $\\sigma \\neq 0$, $S_0 >0$ and $W^{\\mathbb{P}}$ is a Brownian motion (under $\\mathbb{P}$).\n",
"\n",
"Under the unique risk neutral probability measure, denoted by $\\mathbb{Q}$, the dynamics are then given by\n",
"\n",
"$$\n",
"dS_t= S_t\\sigma dW_t, \\quad S_0=S_0\n",
"$$\n",
"\n",
"where $W$ is a $\\mathbb{Q}$ Brownian motion \n",
"\n",
"We consider here the problem of hedging a $\\mathcal{F}_T$-measurable claim $f(S_T)$. In the case of the Black Scholes model the hedging strategy can be found by the Delta hedge, i.e. \n",
"\n",
"$$\n",
"\\Delta(t,s)=\\partial_s \\mathbb{E}_{Q}[f(S_T)| S_t=s].\n",
"$$\n",
"\n",
"In more involved models this is no longer possible. In particular in incomplete models not every claim can be hedged and we thus need to optimize a hedging criterion. We here consider a __quadratic hedging criterion__ but other risk measures are of course also possible.\n",
"\n",
"Let $\\pi$ denote the price of the option, i.e. $\\mathbb{E}_Q[f(S_T)]$. Then the goal is solve the following optimization problem \n",
"\n",
"$$\n",
"\\inf_{H \\text{ predictable }}\\mathbb{E}[( f(S_T)- \\pi- (H\\bullet S)_T)^2],\n",
"$$\n",
"\n",
"where $(H_t)$ ranges over all predictable process and $(H \\bullet S)_T= \\int_0^T H_t dS_t$ denotes the stochastic Ito integral. Optimizing over all predictable processes is infeasable. \n",
"\n",
"Therefore we choose to specify $H_t$ in a smaller set: for each $t$ as a neural network whose input can be specified. In complete Markovian models, as it is the case of the Black Scholes model, we know from the delta hedging strategy that it makes sense to parameterize $H_t$ as a function of the current price $S_t$. In the current setting we therefore choose that the input of each neural network in the implementation below depends only on the current price, i.e. \n",
"\n",
"$$\n",
"H_t=g_t(S_t)\n",
"$$\n",
"\n",
"and $g_t$ denotes a neural network.\n",
"\n",
"We can view the above as supervised learning problem: the input data $x_i$ correspond to trajectories of $(S_t(\\omega_i))_{0 \\leq T}$, the output $y_i$ should be $0$ and the\n",
"the loss function is given by \n",
"\n",
"$$\n",
"\\mathcal{L}= \\left(f(S_T(\\omega_i))- \\pi- \\int_0^T g_t(S_t (\\omega_i)) dS_t(\\omega_i)\\right)^2.\n",
"$$\n",
"\n",
"To implement this we need to generate input data which will be our training data set. Consider the log price of $S_t$ under $\\mathbb{Q}$, i.e.\n",
"\n",
"$$\n",
"d\\log(S_t)= -\\frac{\\sigma^2}{2} dt + \\sigma dW_t.\n",
"$$\n",
"\n",
"The practical implementation requires a time discretization.\n",
"If we discretize our time interval $[0,T]$ in $N$ time steps of length $T/N$ we can write \n",
"\n",
"$$\n",
"\\log(S_i)= \\log(S_{i-1}) -\\frac{\\sigma^2}{2} \\frac{T}{N} + \\sigma \\sqrt{\\frac{T}{N}} Z_i, i=1, \\ldots, N\n",
"$$\n",
"\n",
"where $Z_i$ are independent $N(0,1)$ distributed random variables. The discretized price $(S_0, S_1, \\ldots S_N)$ is obtained by exponentiation.\n",
"\n",
"In this disretized form the whole trajetory of the price $(S_0, S_1, \\ldots S_N)$ is therefore determined by $(S_0, Z_1, \\ldots, Z_N)$ or in other words $(S_0, X_1, \\ldots, X_N)$ where $X_i$ are independent $N(-\\frac{\\sigma^2}{2} \\frac{T}{N} ,\\sigma^2 \\frac{T}{N})$ distributed random variables. Considering $K$ many samples thereof constitutes the input training data set. The outputs are simply $K$ zeros.\n",
"\n",
"In the above loss function we also need to disretize the \n",
"stochastic integral\n",
"\n",
"$$\n",
"\\int_0^T g_t(S_t (\\omega)) dS_t(\\omega).\n",
"$$\n",
"\n",
"We do this by choosing $N$ neural networks $g_0, \\ldots, g_{N-1}$ and disretizing the integral as follows:\n",
"\n",
"$$\n",
"\\sum_{i=0}^{N-1} g_i(S_i(\\omega)) (S_{i+1}(\\omega)-S_i(\\omega)) \\, .\n",
"$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "s9v41vm059kN"
},
"source": [
"In contrast to the original deep hedging approach we consider two training data sets here (xtrain and xtrain_red), where the second one is not a random sample Ktrain trajectories, but rather a set of trajectories, where R initial steps coincide for sets of N_red trajectories."
]
},
{
"cell_type": "code",
"metadata": {
"id": "wIUAEhkA59kO"
},
"source": [
"%tensorflow_version 1.x\n",
"import numpy as np\n",
"import tensorflow as tf\n",
"\n",
"from keras.models import Sequential\n",
"from keras.layers import Input, Dense, Conv2D, Concatenate, Dropout, Subtract, \\\n",
" Flatten, MaxPooling2D, Multiply, Lambda, Add, Dot\n",
"from keras.backend import constant\n",
"from keras import optimizers\n",
"\n",
"from keras.engine.topology import Layer\n",
"from keras.models import Model\n",
"from keras.layers import Input\n",
"from keras import initializers\n",
"from keras.constraints import max_norm\n",
"import keras.backend as K\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import copy"
],
"execution_count": 19,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "EMjoD9lb59kR"
},
"source": [
"N=100 # time disrectization\n",
"S0=1 # initial value of the asset\n",
"T=1 # maturity\n",
"strike = 1.0\n",
"sigma=0.2 # volatility in Black Scholes"
],
"execution_count": 20,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "EHEx7CI559kR",
"outputId": "82b0a67b-0979-4c12-f8ca-3cf419c4fdab"
},
"source": [
"import scipy.stats as scipy\n",
"from scipy.stats import norm\n",
"\n",
"#Blackscholes price\n",
"\n",
"def BS(S0, strike, T, sigma):\n",
" return S0*scipy.norm.cdf((np.log(S0/strike)+0.5*T*sigma**2)/(np.sqrt(T)*sigma))-strike*scipy.norm.cdf((np.log(S0/strike)-0.5*T*sigma**2)/(np.sqrt(T)*sigma))\n",
"\n",
"priceBS=BS(S0,strike,T,sigma)\n",
"print('Price of a Call option in the Black scholes model with initial price', S0, 'strike', strike, 'maturity', T , 'and volatility' , sigma, 'is equal to', BS(S0,strike,T,sigma))"
],
"execution_count": 23,
"outputs": [
{
"output_type": "stream",
"text": [
"Price of a Call option in the Black scholes model with initial price 1 strike 1.0 maturity 1 and volatility 0.2 is equal to 0.07965567455405798\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JoZA9Wze59kS"
},
"source": [
"#Definition of neural networks for heding strategies\n",
"\n",
"m = 1 # dimension of price\n",
"d = 3 # number of layers in strategy\n",
"n = 32 # nodes in the first but last layers\n",
"\n",
"# architecture is the same for all networks\n",
"layers = []\n",
"for j in range(N):\n",
" for i in range(d):\n",
" if i < d-1:\n",
" nodes = n\n",
" layer = Dense(nodes, activation='tanh',trainable=True,\n",
" kernel_initializer=initializers.RandomNormal(0,1),#kernel_initializer='random_normal',\n",
" bias_initializer='random_normal',\n",
" name=str(i)+str(j))\n",
" else:\n",
" nodes = m\n",
" layer = Dense(nodes, activation='linear', trainable=True,\n",
" kernel_initializer=initializers.RandomNormal(0,0.1),#kernel_initializer='random_normal',\n",
" bias_initializer='random_normal',\n",
" name=str(i)+str(j))\n",
" layers = layers + [layer]"
],
"execution_count": 24,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "vY8NG7QV59kS"
},
"source": [
"#Implementing the loss function\n",
"# Inputs is the training set below, containing the price S0, \n",
"#the initial hedging being 0, and the increments of the log price process \n",
"price = Input(shape=(m,))\n",
"hedge = Input(shape=(m,))\n",
"hedgeeval = Input(shape=(m,))\n",
"premium = Input(shape=(m,))\n",
"\n",
"inputs = [price]+[hedge]+[hedgeeval]+[premium]\n",
"outputhelper=[]\n",
"\n",
"premium = Dense(m, activation='linear', trainable=True,\n",
" kernel_initializer=initializers.RandomNormal(0,1),#kernel_initializer='random_normal',\n",
" bias_initializer=initializers.RandomNormal(0,1))(premium)\n",
"\n",
"for j in range(N):\n",
" strategy = price\n",
" strategyeval=hedgeeval\n",
" for k in range(d):\n",
" strategy= layers[k+(j)*d](strategy) # strategy at j is the hedging strategy at j , i.e. the neural network g_j\n",
" strategyeval=layers[k+(j)*d](strategyeval)\n",
" incr = Input(shape=(m,))\n",
" logprice= Lambda(lambda x : K.log(x))(price)\n",
" logprice = Add()([logprice, incr])\n",
" pricenew=Lambda(lambda x : K.exp(x))(logprice)# creating the price at time j+1\n",
" priceincr=Subtract()([pricenew, price])\n",
" hedgenew = Multiply()([strategy, priceincr])\n",
" #mult = Lambda(lambda x : K.sum(x,axis=1))(mult) # this is only used for m > 1\n",
" hedge = Add()([hedge,hedgenew]) # building up the discretized stochastic integral\n",
" inputs = inputs + [incr]\n",
" outputhelper = outputhelper + [strategyeval]\n",
" price=pricenew\n",
"payoff= Lambda(lambda x : 0.5*(K.abs(x-strike)+x-strike))(price) \n",
"outputs = Subtract()([payoff,hedge]) \n",
"outputs = Subtract()([outputs,premium]) # payoff minus price minus hedge \n",
"outputs= [outputs] + outputhelper +[premium]\n",
"outputs = Concatenate()(outputs)\n",
"\n",
"model_hedge_strat = Model(inputs=inputs, outputs=outputs)"
],
"execution_count": 25,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "XTEFOl4F59kV"
},
"source": [
"gamma = 1.0\n",
"grid = [(i/N)**gamma*T for i in range(N+1)]\n",
"\n",
"Ktrain = 10**5\n",
"initialprice = S0\n",
"\n",
"# xtrain consists of the price S0, \n",
"#the initial hedging being 0, and the increments of the log price process \n",
"xtrain = ([initialprice*np.ones((Ktrain,m))] +\n",
" [np.zeros((Ktrain,m))]+\n",
" [np.ones((Ktrain,m))] +\n",
" [priceBS*np.ones((Ktrain,m))]+\n",
" [np.random.normal(-(sigma)**2/2*(grid[i+1]-grid[i]),sigma*np.sqrt(grid[i+1]-grid[i]),(Ktrain,m)) for i in range(N)])\n",
"\n",
"ytrain=np.zeros((Ktrain,1+N))"
],
"execution_count": 41,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "b7W-7isT59kV"
},
"source": [
"#import keras\n",
"from keras import losses\n",
"def custom_loss(y_true,y_pred):\n",
" #return losses.mean_squared_error(y_true[0], y_pred[0])\n",
" z = y_pred[:,0]-y_true[:,0]\n",
" z=K.mean(K.square(z))\n",
" return z"
],
"execution_count": 27,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "cnTJ7DX559kW"
},
"source": [
"model_hedge_strat.compile(optimizer='adam',loss=custom_loss)\n"
],
"execution_count": 28,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "8Qbx4kJk59kW",
"outputId": "9d1b3e36-7568-4fd6-bed9-6b891f42fdec"
},
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"for i in range(5):\n",
" model_hedge_strat.fit(x=xtrain,y=ytrain, epochs=1,verbose=True,batch_size=10000)"
],
"execution_count": 38,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/1\n",
"100000/100000 [==============================] - 11s 110us/step - loss: 6.4868e-05\n",
"Epoch 1/1\n",
"100000/100000 [==============================] - 11s 111us/step - loss: 6.2362e-05\n",
"Epoch 1/1\n",
"100000/100000 [==============================] - 11s 109us/step - loss: 6.1327e-05\n",
"Epoch 1/1\n",
"100000/100000 [==============================] - 11s 110us/step - loss: 6.0965e-05\n",
"Epoch 1/1\n",
"100000/100000 [==============================] - 11s 110us/step - loss: 6.0839e-05\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
},
"id": "inPlO-7r59kW",
"outputId": "f512905d-1047-44f0-81ca-6876060cb827"
},
"source": [
"a = model_hedge_strat.predict(xtrain)\n",
"plt.hist(a[:,0])\n",
"plt.show()\n",
"print(np.std(a[:,0]))\n",
"print(np.mean(a[:,N+1]))"
],
"execution_count": 42,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.007859205\n",
"0.079651296\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "JeeOPzE659kX",
"outputId": "8d3fc686-fa32-46ad-c812-776e997153c6"
},
"source": [
"Ktest=50\n",
"xtest = ([initialprice*np.ones((Ktest,m))] +\n",
" [np.zeros((Ktest,m))]+\n",
" [np.linspace(0.5,1.5,Ktest)] +#change this if you go to higher dimensions\n",
" [priceBS*np.ones((Ktest,m))]+\n",
" [np.random.normal(-(sigma)**2/2*(grid[i+1]-grid[i]),sigma*np.sqrt(grid[i+1]-grid[i]),(Ktest,m)) for i in range(N)])\n",
"\n",
"y=model_hedge_strat.predict(xtest)[:,10]\n",
"print(y)"
],
"execution_count": 33,
"outputs": [
{
"output_type": "stream",
"text": [
"[-0.3318227 -0.31037214 -0.28769407 -0.26372275 -0.23839474 -0.21165276\n",
" -0.18344474 -0.15372914 -0.12247612 -0.08967102 -0.0553182 -0.01944369\n",
" 0.01790143 0.0566391 0.09666323 0.13783908 0.18000442 0.22297296\n",
" 0.2665376 0.31047654 0.35455796 0.39854884 0.44221935 0.4853504\n",
" 0.5277388 0.5692018 0.6095806 0.64874184 0.68657756 0.7230065\n",
" 0.75797117 0.791438 0.82339144 0.8538348 0.88278586 0.9102738\n",
" 0.9363378 0.9610239 0.9843837 1.0064716 1.0273447 1.04706\n",
" 1.0656755 1.0832472 1.0998311 1.11548 1.130245 1.1441753\n",
" 1.157318 1.1697168 ]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
},
"id": "lwbk07zw59kY",
"outputId": "651c9161-ea44-4225-e869-ebfb1a27f20c"
},
"source": [
"logincrements = xtrain[4:4+N]\n",
"hedge = np.zeros(Ktrain)\n",
"price = S0*np.ones((Ktrain,N))\n",
"for k in range(N-1):\n",
" helper = logincrements[k][:,]\n",
" helper = helper.transpose()\n",
" price[:,k+1] = price[:,k]*np.exp(helper[:])\n",
" hedge[:] = hedge[:] + scipy.norm.cdf((np.log(price[:,k]/strike)+0.5*(T-grid[k+1])*sigma**2)/(np.sqrt(T-grid[k+1])*sigma))*(price[:,k+1]-price[:,k])\n",
"hedge[:]= hedge[:]-0.5*(np.abs(price[:,N-1]-strike)+(price[:,N-1]-strike))+priceBS\n",
"plt.hist(hedge)\n",
"plt.show()\n",
"print(np.std(hedge))\n",
"print(np.mean(hedge))"
],
"execution_count": 43,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.006941998287796105\n",
"0.00039704678688108467\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "X15OQqi559kY",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"outputId": "72549df3-0924-4791-b9ae-99144b735114"
},
"source": [
"l =20\n",
"s=np.linspace(0.5,1.5,Ktest)\n",
"z=scipy.norm.cdf((np.log(s/strike)+0.5*(T-grid[l])*sigma**2)/(np.sqrt(T-grid[l])*sigma))\n",
"#plt.plot(s,z)\n",
"#plt.plot(s,y)\n",
"y=model_hedge_strat.predict(xtest)[:,l]\n",
"plt.plot(s,y,s,z)\n",
"plt.show()"
],
"execution_count": 14,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true,
"id": "bXf-ty6U3S_Y"
},
"source": [
"# Inverse Problems and training algorithms"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Wa0am_qrRGgm"
},
"source": [
"# A simple example for conditional laws\n",
"\n",
"Assume that we have a coin flipping experiment with a coin, chosen from a pool of coins, whose success probability is $p$. Let us consider $1$ as success and $0$ a fail. The law which determines $p$ has a density $\\pi_0(p)$. Let us then flip the coin $k$ times with result $x_1,\\ldots,x_k$. What is the probability law for $p$ given $x_1,\\ldots,x_k$.\n",
"\n",
"This a typical question for conditional distribution. We consider the random variables $X_1,\\ldots,X_k$ which are Bernoulli distributed with success parameter $p$. Then\n",
"$$\n",
"P(X_1=x_1,\\ldots,X_k=x_k|p) = p^{(x_1+\\ldots+x_k)}(1-p)^{(k-(x_1+\\ldots+x_k))}\n",
"$$\n",
"holds true. Bayes' theorem says\n",
"$$\n",
"P(p|x_1,\\ldots,x_k)=\\frac{p^{(x_1+\\ldots+x_k)}(1-p)^{(k-(x_1+\\ldots+x_k))}\\pi_0(p)}{\\int_0^1p^{(x_1+\\ldots+x_k)}(1-p)^{(k-(x_1+\\ldots+x_k))}\\pi_0(p)dp} \\, .\n",
"$$"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "0c_qXsWdRGgm",
"outputId": "a804f0a8-d647-443c-f5df-f8231811361f"
},
"source": [
"p0 = np.random.uniform(0,1,1)\n",
"def pi0(p):\n",
" return 1\n",
"\n",
"k=100\n",
"x = np.random.binomial(1,p0,k)\n",
"y = np.cumsum(x)\n",
"print(p0)\n",
"print(x)\n",
"print(y)"
],
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"text": [
"[0.37243277]\n",
"[1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0\n",
" 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0\n",
" 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1]\n",
"[ 1 1 1 1 2 3 4 4 4 4 4 4 5 5 5 5 5 5 6 7 8 9 9 9\n",
" 10 11 11 12 12 13 13 13 14 14 15 16 16 16 17 17 17 17 17 17 17 17 17 17\n",
" 18 18 18 18 18 18 18 19 20 20 21 21 21 21 21 21 22 22 22 23 24 24 25 26\n",
" 27 27 28 29 29 30 30 30 30 30 30 30 31 31 32 33 34 34 34 34 35 35 35 35\n",
" 35 35 35 36]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "VQ5hnzg0RGgm",
"outputId": "fec69cb9-ee5a-40df-9044-507504716b34"
},
"source": [
"p = np.linspace(0,1,1000)\n",
"l = p**0*pi0(p)\n",
"l = l/np.sum(l)*1000\n",
"plt.plot(p,l)\n",
"plt.scatter(np.array([p0]),np.array([0]))\n",
"plt.show()\n",
"print('Prior mean', np.mean(l*p))\n",
"\n",
"for i in range(k):\n",
" p = np.linspace(0,1,1000)\n",
" l = p**y[i]*(1-p)**(i+1-y[i])*pi0(p)\n",
" l = l/np.sum(l)*1000\n",
" plt.plot(p,l)\n",
" plt.scatter(np.array([p0]),np.array([0]))\n",
" plt.show()\n",
" print(np.mean(l*p))"
],
"execution_count": 18,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"Prior mean 0.5\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.6670003336670003\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.5\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4000004008012016\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.33333389000204067\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4285714285728628\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.5000000000000001\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.5555555555565966\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.5\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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AA7sONerFUB8blBLL9KEpvLRuPx2dLttxVADSQldfsriokvAw4dqxA2xHCTnzpmZzoL6Fj3ZW246iApAWuvqCjk4Xb22s5JIR/UiKibAdJ+RcOjKN/glRenFUnREtdPUFK/fUUnusTW/1t8QZ5mDOlExW7qmltLbJdhwVYLTQ1Re8UVRB39gILhqeZjtKyJo7JYswh/DiOl38QvWMFrr6XP3xdt7ffoiZ4wYS4dQfDVv6JURx2ah+vFpQrotfqB7R31r1uWVbDtDW4dLTLX5gfn42dc3tvKOLX6ge0EJXn1tcVMGQtDjGpCfajhLyzh2cTG5KLIvW6sVR5bluC11EnhaRahHZeprXLxKRehHZ6P74hfdjqt5WdriJ9aVHmTUxHRG91d82EeGWqVkU7a9je1WD7TgqQHhyhP4scEU326w0xox3f/z67GMpX3tzQyUicP14Pd3iL2ZPyiDS6eAFPUpXHuq20I0xK4AjPsiiLDHGsLioknMHJzMwKdp2HOWWFBPBNWMHsmRDJY0tuviF6p63zqFPE5FNIvIPETnndBuJyAIRKRCRgpqaGi+9tTpbhWVH2X+kmVkT9FZ/fzM/P4vmtk6WbKi0HUUFAG8UehGQbYwZB/wvsOR0GxpjFhpj8owxeampqV54a+UNbxRVEh0exhWjdZk5fzM+M4lzBiawaO1+XfxCdeusC90Y02CMOeZ+vAwIF5GUs06mfKKlvZO3N1dx5ej+xEY6bcdRJxER5udns/NgI4VlR23HUX7urAtdRPqLe1iEiExxf01ddiVAfLSjmsaWDp1Z0Y/NHDeQuEinzu+iuuXJsMWXgNXAcBGpEJG7ROReEbnXvclsYKuIbAIeBuYY/dswYCwuqqB/QhTTBifbjqJOIzbSyayJ6SzbcpDDx1ptx1F+rNu/sY0xc7t5/RHgEa8lUj5Te6yVj3fXcPf0XMJ0mTm/Nj8/m+dWl/F6YQX3XDjYdhzlp/RO0RC2dGMVnS6jt/oHgGH94pmS05cX1+3H5dI/gNWpaaGHsMUbKhiTnsiwfvG2oygPzMvPouxwMyuLa21HUX5KCz1E7TrYyNbKBj06DyBXjO5PcmyEXhxVp6WFHqIWb6jA6RCuHTfQdhTloUhnGDflZfLRjkMcqD9uO47yQ1roIajTZViyoZKLhqeSEhdpO47qgXlTszDAS+vKbUdRfkgLPQR9treWQw2tOvY8AGX2jeHCYam8vG4/7Z0u23GUn9FCD0GLiypJiHIyY4QuMxeI5k/NprqxlQ+3H7IdRfkZLfQQc6y1g3e3HuSacQOJCg+zHUedgYtHpDEwMYpFa3XNUfVFWugh5t2tBzne3smNerolYIU5hLlTsvi0uJZ9tU224yg/ooUeYt4orCAnOYaJWUm2o6izcPOUTJwOYZEOYVQn0EIPIRVHm1ldcphZEzN0mbkAlxYfxeXn9Oe1wgpa2jttx1F+Qgs9hLy1sQqAGybozUTBYF5+FvXH23l78wHbUZSf0EIPEcYY3iiqYMqgvmT2jbEdR3nBtNxkclNjWaRrjio3LfQQsaminpKaJm7UW/2Dhogwb2o2G/bXsa2q3nYc5Qe00EPE4qIKIp0OrhwzwHYU5UWzJ2YQFe7ghTU6hFFpoYeE1o5Olm6q4rJz+pMQFW47jvKixJhwrh07kLc2VtLY0m47jrJMCz0ELN9ZTV1zu55uCVLz87NpbutkyYZK21GUZVroIeD1wkrS4iOZPjTVdhTVC8ZmJDI6PYEX1uxHV38MbVroQe7wsVY+3lXNDRPSdZm5ICUizJ+aza5DjRSUHbUdR1mkhR7k3tpYRYfL6MyKQW7m+IHERzl18YsQp4Ue5N4oqmB0egLD++syc8EsJsLJjRMz+MeWgxw+1mo7jrJECz2I7TzYwLaqBp2IK0TMm5pFW6eLVwp08YtQpYUexBYXVeJ0CDN1mbmQMLRfPOcOTuaF1WV06OIXIUkLPUh1dLp4c0MlF49II1mXmQsZd5ybQ1V9C+/r4hchSQs9SK0srqWmsVVPt4SYS0b2I7NvNM+uKrUdRVmghR6k3iisoE9MuC4zF2LCHMLt03JYV3qErZU6v0uo0UIPQvXH23l/+yFmjhtIhFO/xaHmprxMosPD+NtnpbajKB/T3/Yg9M7mA7R1uLhxkp5uCUWJ0eHcOCmdtzZV6RDGEKOFHoTeKKpgaFocY9ITbUdRltw+LYe2Dhcvr9chjKGk20IXkadFpFpEtp7mdRGRh0WkWEQ2i8hE78dUntpX20Rh2VFunKTLzIWyof3imT40hedXl9GuQxhDhidH6M8CV3zF61cCQ90fC4DHzj6WOlNvFFbgELh+vM6sGOruPC+Hgw0tvLv1oO0oyke6LXRjzArgyFdsch3wnOmyBkgSEV1FwYJOl+H1wgouHJZK/8Qo23GUZRcNSyM7OYZn9eJoyPDGOfR04MQTdRXuz32JiCwQkQIRKaipqfHCW6sTrdhdw8GGFm6enGk7ivIDDvcQxsKyo2yuqLMdR/mATy+KGmMWGmPyjDF5qak6N7e3vbK+nOTYCGaM6Gc7ivITs/MyiI0I4xm90SgkeKPQK4ETDwkz3J9TPlR7rJUPdxxi1sR0HXuuPpcQFc7Nk7P4+6YqquqO246jepk3fvOXAre5R7vkA/XGmANe+LqqB94sqqTDZfR0i/qSb5yfgwE9lx4CPBm2+BKwGhguIhUicpeI3Csi97o3WQaUAMXAE8C3ey2tOiVjDK8UlDMxK4khaTrvufqijD4xXD1mAC+u3U+DLiQd1JzdbWCMmdvN6wa4z2uJVI8V7a+juPoY/3njGNtRlJ+6e3ouSzdV8cq6cu6+INd2HNVL9GRrEHh1fTkxEWFcPVbnPVenNiYjkWm5yTy9ap/eaBTEtNADXFNrB29vruKasQOIi+z2Dy4VwhZckMuB+hbe3lxlO4rqJVroAe6dzQdoauvUi6GqWxcOS2VoWhwLV+yj60ypCjZa6AHulYJyBqfGMjGrj+0oys85HMLdF+Sy40ADq4oP246jeoEWegDbdbCRwrKjzJmcpRNxKY9cN34gqfGRLFxZYjuK6gVa6AFs0doyIpwOZuu858pDkc4w7jg3hxW7a9hWpSsaBRst9ADV1NrB4qJKrhkzgD6xEbbjqAAyPz+b+Egnf/l4r+0oysu00APU0k1VHGvtYF5+lu0oKsAkRodz67Rslm05QHH1MdtxlBdpoQcgYwwvrCljRP94vRiqzshd5w8i0ungMT1KDypa6AFoY3kd26oamJefrRdD1RlJjotk7pQslmyspPxIs+04yku00APQorX7iY0I44YJuiqROnMLLsjFIfDXFXqUHiy00ANMXXMbf99UxfUT0vXOUHVWBiRGM3tSJq+ur+BQQ4vtOMoLtNADzOuFFbR2uJg3Ndt2FBUEvnXhYDqN4YkVOi49GGihBxCXy/Di2v1MzEpi1MAE23FUEMhKjmHmuIEsWrufw8dabcdRZ0kLPYCs2FNDSW0Tt07To3PlPfddPITWjk7+qkfpAU8LPYA8vaqU1PhIrh6j0+Qq7xmSFsf149N5bnUp1Y16Lj2QaaEHiOLqRlbsruHW/GxdM1R53fcuGUp7p+Evy3XESyDTZggQz6wqJcLp4Japemeo8r6clFhmT8zgxbX7dTHpAKaFHgDqmttYXFTJdeMGkhIXaTuOClLfvWQIBsMjy4ttR1FnSAs9ALy8vpzj7Z3ced4g21FUEMvoE8OcyVm8ur5c7x4NUFrofq6j08Vzn5WSn9tXhyqqXnffxUNwOIT/+WiP7SjqDGih+7n3th2iqr6Fb+jRufKB/olR3D4tmzeKKth5sMF2HNVDWuh+zBjDEytLyOobwyUj+9mOo0LEfRcPIT7SyYPLdtqOonpIC92PrSk5wsbyOu6+IJcwh86qqHwjKSaC784Yyie7a/h0T63tOKoHtND92GOf7CUlLoKbdIk55WO3nZtNRp9o/mPZDlwuYzuO8pAWup/aVlXPit013HneIKLCw2zHUSEm0hnGTy4fzvYDDby5odJ2HOUhLXQ/9fgnJcRFOpmfr/O2KDuuHTuQsRmJ/OH9XbS0d9qOozyghe6Hyg438c7mKublZ5EYHW47jgpRDofw/64aSVV9C0+u1Im7AoEWuh9auKIEp8PBXTpUUVmWn5vMlaP788jyYip1SgC/51Ghi8gVIrJLRIpF5KeneP0OEakRkY3uj296P2poONTQwmuFFdw4KZ20hCjbcZTi/qtHAvC7d7ZbTqK6022hi0gY8ChwJTAKmCsio06x6SvGmPHujye9nDNk/GV5MS6X4dsXDbEdRSmga0qA+y4awrItB3UYo5/z5Ah9ClBsjCkxxrQBLwPX9W6s0FRVd5yX1pVzU14GmX1jbMdR6nN3X5BLdnIMDyzdSluHy3YcdRqeFHo6UH7C8wr35052o4hsFpHXRSTzVF9IRBaISIGIFNTU1JxB3OD26PJiDIb7Ltajc+VfosLDeODaUeytaeKZVftsx1Gn4a2Lon8HcowxY4EPgL+daiNjzEJjTJ4xJi81NdVLbx0cKo4282pBOTdPziSjjx6dK/8zY0Q/Lh2Zxp8/3KOzMfopTwq9EjjxiDvD/bnPGWMOG2P+tcLsk8Ak78QLHY8uL0YQPTpXfu1X143GIfCzxVswRu8g9TeeFPp6YKiIDBKRCGAOsPTEDURkwAlPZwI7vBcx+O2rbeK1ggrmTMlkQGK07ThKnVZ6UjQ/vXIEnxbX8nphhe046iTdFroxpgP4DvAeXUX9qjFmm4j8WkRmujf7nohsE5FNwPeAO3orcDD6/bs7iXA6+M4MPTpX/m/e1Gwm5/Tht+/s0EWl/YxH59CNMcuMMcOMMYONMb9zf+4Xxpil7sc/M8acY4wZZ4y52Bij8256qLDsKP/YepB7LhhMWryOO1f+z+EQHrpxLMfbO/nl0m2246gT6J2iFhlj+I9lO0iNj+Sb0/WuUBU4BqfG8f1LhrJsy0GWbqqyHUe5aaFb9N62QxSWHeWHXxtGbKTTdhyleuSeC3KZkJXE/W9u0WkB/IQWuiUt7Z089I8dDEmL0/nOVUByhjn4883jcbkMP3xlI506b7p1WuiWPLGihNLDzTxw7SicYfptUIEpOzmWB2aew9p9R1i4QmdktE2bxIKKo808+nExV43pz/SheoOVCmw3TcrgytH9+eMHu9hYXmc7TkjTQrfgN29vRxB+fvWp5jhTKrCICA/OGkNafBT3LSriSFOb7UghSwvdxz7eVc172w7xnRlDGJikNxGp4JAUE8Fj8ydS09jK91/eoOfTLdFC96FjrR3c/+ZWBqfG6jBFFXTGZiTxq+vOYeWeWh7+aI/tOCFJC92HHly2g6r64/x+9jginbrwswo+cyZnMntSBg//cw/vbztoO07I0UL3kc+Ka1m0dj93nTeISdl9bMdRqleICL+9fjRjM5L4/ssb2VJRbztSSNFC94Gm1g7+7+LN5CTH8KPLhtuOo1SvigoP44nbJtE3NoK7/raeKr3pyGe00H3gl0u3UXG061RLdISealHBLy0+imfunMzxtk6+8ex6GlvabUcKCVrovWzJhkpeK6zguxcPYcqgvrbjKOUzw/rF85f5EymuPsY3nl1Pc1uH7UhBTwu9F5XWNnH/m1uYnNOH710y1HYcpXxu+tBU/nTzeArLjnLP84W0dnTajhTUtNB7SXNbB99aVNQ138WcCXp7vwpZ144byH/eOJaVe2q5b9EG2jt1keneoi3TC4wx/OS1zew82MCf54wnXW8gUiHuprxMfnPdOXy44xDfeqGQlnY9Uu8NWui94NHlxbyz5QA/vWIEFw9Psx1HKb9w67QcfnP9aD7aWc3tT6/TC6W9QAvdy97aWMl/v7+b68cPZMEFubbjKOVXbs3P5s/uc+q3PLGW6gZdws6btNC9aPmuan706iamDurLQzeORURsR1LK71w3Pp2Ft02iuPoY1z26iq2VevORt2ihe0lB6RG+9UIhw/rF88TteUSF63hzpU5nxoh+vP6taQhw0+OreWfzAduRgoIWuhd8VlzLbU+vY0BiNH/7xhQSosJtR1LK750zMJEl3zmPkQPiue/FIv59yVa9WHqWtNDP0vKd1Xg4pMIAAAk1SURBVNzx7Hoy+kTzyoJ8UuMjbUdSKmCkxUfx8oJp3D19EM+vKeP6R1ex51Cj7VgBSwv9LDy/poy7nytgWL84Xl4wjbSEKNuRlAo4EU4H9189imfumEx1YytXP/wp//PhHto6dLx6T2mhn4H2Thf3v7mFf1+ylelDU3jp7nz6xkbYjqVUQLt4RBrv/58LuGJ0f/704W6u+d+VrCqutR0roGih91BJzTFmP/YZi9bu554Lc3ny9snE6zlzpbwiJS6Sh+dO4Ok78mhq7WTek2u545l17Dqop2E8IcbYWSoqLy/PFBQUWHnvM9HpMixaW8aDy3YSGe7gwRvGcOWYAbZjKRW0Wto7eW51KY/8s5hjrR1cOWYA914wmDEZibajWSUihcaYvFO+poXevXX7jvDLpdvYfqCB6UNT+O+bxtFPz5cr5RNHm9r464oSFq0po7G1g3MHJ3PbtGxmjOhHhDP0TjJooZ+hdfuO8OjyYj7ZXcPAxCj+39UjuXrMAL1hSCkLGlraeWntfp5ZVcrBhhb6xkZw/fh0rhk3gPEZSTgcofF7qYXeAw0t7by96QCvFJSzqbyO5NgIvnH+IO48L4eYCKfteEqFvI5OFyv31PJaYTkfbD9Ee6chJS6SS0akcdHwVPJy+gb18OGzLnQRuQL4HyAMeNIY89BJr0cCzwGTgMPAzcaY0q/6mv5S6C6XoaS2iU/31LB8Vw2rSw7T1uFiWL84bpmSxc2Ts3SVIS9bsqGS/3pvF1V1xxmYFM1PLh/O9RPSbcdSAaj+eDsf76rmwx3VfLyzmsbWrkU0BqXEMim7DyMHJDCifzzD+8eTEhccJX9WhS4iYcBu4GtABbAemGuM2X7CNt8Gxhpj7hWROcANxpibv+rr+qrQXS7DsbYO6pvbqT/eTmXdccqPNFNx9Di7DjaytbL+8x+C3NRYLhqWxnXjBzI2I1FPrfSCJRsq+dniLRw/4Y7A6PAwHpw1RktdnZW2Dhdbq+pZv+8I60uPULS/jiNNbZ+/nhDlJL1PDOlJ0WT0iWZAYhR9YiJIjAknKTqcpJgI4qOcRIWHERXuINIZRpgfnsY520KfBvzSGHO5+/nPAIwxD56wzXvubVaLiBM4CKSar/jiZ1roH++q5rfv7MDlMnQag8sYXK6uUSgu9/Oux11l3tTWgesUKeIineSmxjI2I5Gx6UlMze1LdnJsj/OonjnvoX9SeYpFg9OToln10xkWEqlgZYyh9lgbuw42svNgA6WHm6iqa6Hy6HEq645zrLX7JfHCw4RIZxgRTgcOERzC5/8rIjgc/3ouiICARweCcyZn8s3pZzYb61cVuicnhdOB8hOeVwBTT7eNMaZDROqBZOALdwWIyAJgAUBWVpZH4U8WHxXOsH5xOEQIc8jn/zHDHBDmEESEMPdrIl3FnRgdTkJ0OInR4QxIjCKzTwxJMeF6BG7B6VaA15XhlbeJCKnxkaTGR3L+0JQvvd7U2sHR5jbq3H+9H21uo7Glg9b2Tlo6XLS2u2jp6KS13UVbZycu0/V/Ei4X7oNH93P3Y5cxeHpJsrdO//j0Kp8xZiGwELqO0M/ka0zK7sOk7ElezaV8Z2BS9CmP0Afqqk7Kx2IjncRGOsnoYzuJ93gyiLMSyDzheYb7c6fcxn3KJZGui6NKfcFPLh9O9ElTC0eHh/GTy4dbSqRU8PCk0NcDQ0VkkIhEAHOApSdtsxS43f14NvDPrzp/rkLX9RPSeXDWGNKTohG6zp3rBVGlvKPbUy7uc+LfAd6ja9ji08aYbSLya6DAGLMUeAp4XkSKgSN0lb5Sp3T9hHQtcKV6gUfn0I0xy4BlJ33uFyc8bgFu8m40pZRSPRF6EyEopVSQ0kJXSqkgoYWulFJBQgtdKaWChLXZFkWkBig7w3+ewkl3oYYA3efQoPscGs5mn7ONMamnesFaoZ8NESk43VwGwUr3OTToPoeG3tpnPeWilFJBQgtdKaWCRKAW+kLbASzQfQ4Nus+hoVf2OSDPoSullPqyQD1CV0opdRItdKWUChJ+XegicoWI7BKRYhH56SlejxSRV9yvrxWRHN+n9C4P9vmHIrJdRDaLyEcikm0jpzd1t88nbHejiBgRCfghbp7ss4h83f293iYiL/o6o7d58LOdJSLLRWSD++f7Khs5vUVEnhaRahHZeprXRUQedv/32CwiE8/6TY0xfvlB11S9e4FcIALYBIw6aZtvA4+7H88BXrGd2wf7fDEQ4378rVDYZ/d28cAKYA2QZzu3D77PQ4ENQB/38zTbuX2wzwuBb7kfjwJKbec+y32+AJgIbD3N61cB/6BrKdJ8YO3Zvqc/H6FPAYqNMSXGmDbgZeC6k7a5Dvib+/HrwCUS2AuFdrvPxpjlxphm99M1dK0gFcg8+T4D/Ab4T6DFl+F6iSf7fDfwqDHmKIAxptrHGb3Nk302QIL7cSJQ5cN8XmeMWUHX+hCncx3wnOmyBkgSkQFn857+XOinWpz65FURvrA4NfCvxakDlSf7fKK76Pp/+EDW7T67/xTNNMa848tgvciT7/MwYJiIrBKRNSJyhc/S9Q5P9vmXwHwRqaBr/YXv+iaaNT39fe+WTxeJVt4jIvOBPOBC21l6k4g4gD8Cd1iO4mtOuk67XETXX2ErRGSMMabOaqreNRd41hjzBxGZRtcqaKONMS7bwQKFPx+hh+Li1J7sMyJyKXA/MNMY0+qjbL2lu32OB0YDH4tIKV3nGpcG+IVRT77PFcBSY0y7MWYfsJuugg9UnuzzXcCrAMaY1UAUXZNYBSuPft97wp8LPRQXp+52n0VkAvBXuso80M+rQjf7bIypN8akGGNyjDE5dF03mGmMKbAT1ys8+dleQtfROSKSQtcpmBJfhvQyT/Z5P3AJgIiMpKvQa3ya0reWAre5R7vkA/XGmANn9RVtXwnu5irxVXQdmewF7nd/7td0/UJD1zf8NaAYWAfk2s7sg33+EDgEbHR/LLWdubf3+aRtPybAR7l4+H0Wuk41bQe2AHNsZ/bBPo8CVtE1AmYjcJntzGe5vy8BB4B2uv7iugu4F7j3hO/xo+7/Hlu88XOtt/4rpVSQ8OdTLkoppXpAC10ppYKEFrpSSgUJLXSllAoSWuhKKRUktNCVUipIaKErpVSQ+P/jTBkNsQjzYQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.45454545454545453\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.41666666666666663\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3846153846153845\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.357142857142857\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4000000000000001\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.375\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3529411764705883\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.33333333333333337\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3157894736842106\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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skCAiuQFNGiN217UBsDQG+s/PODNZ16uHm+gbdDsdx5iI5c8oFwEeAg6o6nfHaDPF1w4Rucj3uc2BDBorKmvbEIHFxdH7QNFo1pQV0DPgZusx+2NjzPmK96PNpcAdwB4RqfK990/AdABV/SlwC3CPiAwBvcBtasu6n5eqE23MzktjcnKC01FCatXMHCYlxvHi/gaumJfvdBxjItK4BV1VXwfOendOVX8E/ChQoWKVqlJZ2/reij6xJDkhjtVz8njxQAP/fsPCmLkhbEwg2ZOiYaSmuYfWnkGWTY+d/vPh1pQV0NDRz976kffcjTH+sIIeRqpOnLkhGjsjXIa7Yl4eLsEm6zLmPFlBDyOVta1MSoxjbkG601EckZOWxPKSLFtr1JjzZAU9jFSdaGPxtAzionCFIn+tLStg/6kO6tt6nY5iTMSxgh4m+gbd7DvZEbP952esme+9IWyTdRlz7qygh4l9J9sZ8mhMTJl7NjPz0piZl2pzpBtzHqygh4nKWt8N0Rh65H8sa+cXsO1YMx19g05HMSaiWEEPE5Un2ijKTCE/PdnpKI5bU1bAoFvZctgmcDPmXFhBDxNVtW0xNSHX2Vw4PYusSQk22sWYc2QFPQw0dvRR39Ybs+PPR4pzCR+5oICXDzYy6PY4HceYiGEFPQxU+h4oivURLsOtLcuno2+IiuOtTkcxJmJYQQ8DlbVtJMQJC6ZOdjpK2PjwnDwS4102R7ox58AKehioOtFKWeFkkhPinI4SNlKT4rl0Vg4vHmjAJu40xj9W0B3m9ii769qtu2UUa8oKqGnuobqxy+koxkQEK+gOO9zQSc+A226IjuLKC7xPjdpkXcb4xwq6w848UGRDFj9oSkYyi6dl2FOjxvjJnyXoikVks4jsF5F9IvLFUdqIiPxARKpFZLeIXBicuNGnsraV7NREpmdPcjpKWFozv4CqE200dvY5HcWYsOfPFfoQ8BVVLQNWAp8XkbIRba4B5vheG4CfBDRlFKs60cbS4kxboWcMa+YXoAqbDzY6HcWYsDduQVfVU6q607fdCRwAikY0Ww/8Sr22AZkiUhjwtFGmvXeQI41dMT8h19nML0ynKDOFF/ZbQTdmPOfUhy4ipcAyYPuIXUXAiWFf1/HBoo+IbBCRChGpaGqyeTp219mEXOMREdbMz+f16iZ6B9xOxzEmrPld0EUkDXgC+JKqnteij6q6UVXLVbU8Ly/vfD4iqlT5bogunmYF/WzWlBXQN+jhjerTTkcxJqz5VdBFJAFvMX9EVZ8cpUk9UDzs62m+98xZVJ5oY05+GhkpCU5HCWsXz8ghPSnenho1Zhz+jHIR4CHggKp+d4xmm4BP+Ua7rATaVfVUAHNGHVV974aoObvEeBeXzcvjxQONeDz21KgxY/HnCv1S4A7gIyJS5XtdKyJ3i8jdvjbPAseAauAB4HPBiRs9alt6aOkesCdE/bS2rIDTXf1U+e47GGM+KH68Bqr6OnDWMXXqnWzj84EKFQveW6HIrtD9cvncfOJcwov7G7jQ/idozKjsSVGHVJ1oY1JiHHML0pyOEhEyJiVwUWm29aMbcxZW0B1SWdvKoqIM4uPsR+CvNWUFHG7ooqa52+koxoQlqyYO6Bt0s/9Uh/Wfn6M18/MBePGAPWRkzGisoDtg38kOBt1q/efnqCQnlbkFabbWqDFjsILugKoTNsPi+Vozv4C3jrfQ3jPodBRjwo4VdAdU1rZSlJlCweRkp6NEnLVlBbg9yiuHrdvFmJGsoDugstYeKDpfS6ZlkpuWZHOkGzMKK+gh1tjZR31br3W3nCeXyztZ16uHmugfssm6jBnOCnqIVdkDRRN29YIpdPYP2WRdxoxgBT3Eqk60Ee8SFhZlOB0lYl06O5fJyfE8s8umCzJmOCvoIVZZ28b8wskkJ8Q5HSViJca7uHrBFF7Y30DfoHW7GHOGFfQQcnuU3XVt1n8eANctLqSzf4jXjli3izFnWEEPoSONnXQPuK3/PAAunZ1L5qQE/rT7pNNRjAkbVtBD6MwNUXvkf+IS4lyss24XY97HCnoIVda2kTkpgdKcSU5HiQrXLS6ke8DNq4dtfVpjwAp6SFWeaGVpcSbeRaDMRK2amUPWpAT+tNtGuxgD/i1B97CINIrI3jH2Xy4i7cNWM7ov8DEjX2ffIEcau6z/PIDi41ysW1jIiwes28UY8O8K/RfAunHavKaqS32v+yceK/rsrmtH1frPA+2jiwvpGXDzyiGb28WYcQu6qm4BWkKQJartqGlFxJ4QDbSLZ2STk5rIM9btYkzA+tBXicguEXlORBaM1UhENohIhYhUNDXF1o2sHTWtzM1PJyMlwekoUcXb7TKFlw400t0/5HQcYxwViIK+EyhR1SXAD4Gnx2qoqhtVtVxVy/Py8gJw6Mjg8Sg7a1u5sMS6W4Jh/dIiegfdNgOjiXkTLuiq2qGqXb7tZ4EEEcmdcLIocrixk86+IcqtoAdFeUkWRZkpPFVZ73QUYxw14YIuIlPENw5PRC7yfWbzRD83muyoaQWgvNQKejC4XMKNy4p47UgTjZ19TscxxjH+DFv8HbAVmCcidSJyl4jcLSJ3+5rcAuwVkV3AD4DbVFWDFzny7DjeSm5aItOz7YGiYLlh2VQ8Cn+0GRhNDIsfr4GqfnKc/T8CfhSwRFFoR20ry0uy7IGiIJqdn86iogyerqznrg/NcDqOMY6wJ0WDrKmzn5rmHspLsp2OEvVuWFbEnvp2qhs7nY5ijCOsoAfZjhrvEH4b4RJ8H1tSiEuwm6MmZllBD7IdNa0kxrtYWDTZ6ShRLz89mQ/NyePpypN4PHYbx8QeK+hBVlHTypJpGSTF2wpFoXDTsiLq23p5+7g93GxijxX0IOobdLO3vt26W0LoqgUFpCXF8/uKOqejGBNyVtCDaE99O4NutRuiITQpMZ6PLSnk2T2n6OgbdDqOMSFlBT2IKo57HyhablfoIXXriun0Drr54y5bns7EFivoQbSjpoWZualkpyY6HSWmLJmWwbyCdH7/9gmnoxgTUlbQg8TtUd56p4WLZlh3S6iJCLeuKGZXXTsHTnU4HceYkLGCHiQH3+2go2+Ii2daQXfCjcuKSIxz8ZhdpZsYYgU9SLYd8w6bu3hGjsNJYlNWaiJXLSjg6ap6W57OxAwr6EGy/Vgz07MnMTUzxekoMevWFcW09QzyF5sn3cQIK+hB4PEobx1v4WLrP3fUpbNyKcpM4Xfba52OYkxIWEEPgsONnbT1DHLxTOtucZLLJfyvldPZeqyZIw02YZeJflbQg2D7e/3ndoXutFvLi0mMd/GrrTVORzEm6KygB8H2d5opykyh2Ba0cFxOWhIfWzyVJ3bW2ZOjJur5s2LRwyLSKCJ7x9gvIvIDEakWkd0icmHgY0YOVe/4c7s6Dx93XlJCz4CbJ3fY/C4muvlzhf4LYN1Z9l8DzPG9NgA/mXisyHW0qYvTXQM2/jyMLJ6WydLiTH61rQZbHdFEs3ELuqpuAc42F+l64FfqtQ3IFJHCQAWMNFtt/HlYuvOSEo41dfNGta1fbqJXIPrQi4Dhj+PV+d77ABHZICIVIlLR1NQUgEOHnzerTzM1I5mSHOs/DyfXLiokJzWRX7z5jtNRjAmakN4UVdWNqlququV5eXmhPHRIuD3Km0eb+dCcXFsQOswkxcdx+8oSXjzQSHVjl9NxjAmKQBT0eqB42NfTfO/FnL317bT3DnLp7Fyno5hRfGpVCUnxLh7YcszpKMYERSAK+ibgU77RLiuBdlU9FYDPjTivV58GsIIepnLSkvhEeTFPVdbT2NHndBxjAs6fYYu/A7YC80SkTkTuEpG7ReRuX5NngWNANfAA8LmgpQ1zrx85zfzCyeSmJTkdxYzhsx+ewZDHw8/fPO50FGMCLn68Bqr6yXH2K/D5gCWKUL0DbnbUtPLpS0udjmLOoiQnlWsWFvKbbTV8/orZpCWN+1fAmIhhT4oGyFvHWxhwe6y7JQJsWD2Tzr4hfrvdpgMw0cUKeoC8UX2axDgXF5XaA0XhbklxJh+ancvGLcfoHbC50k30sIIeIK8dOc3ykixSEuOcjmL88MU1czjdNcAjdpVuoogV9AB4t72PA6c6uGxe9I2tj1YrSrP50OxcfvrqUbtKN1HDCnoAbD7UCMBHLsh3OIk5F3aVbqKNFfQAePlgI0WZKczJT3M6ijkHw6/SewaGnI5jzIRZQZ+gvkE3rx85zUcuyLfH/SPQl3xX6T9/47jTUYyZMCvoE7T9nRZ6B93W3RKhykuzWVtWwE9eOcrprn6n4xgzIVbQJ2jzwUaSE1ysmmXT5Uaqr6+7gN5BNz986YjTUYyZECvoE6CqvHywkUtm5ZKcYMMVI9Xs/DRuW1HMI9trOdZkMzGayGUFfQIONXRS29LDlfOtuyXSfXHNHBLjXfzn84ecjmLMebOCPgHP7nkXEbiqbIrTUcwE5acnc/dls3h+37u84Zs105hIYwV9Ap7fe4oVpdnkpdvsitFgw+qZTM+exH3/s5eBIY/TcYw5Z1bQz9PRpi4ON3RxzUK7Oo8WyQlx/Ov1Czja1M2Dr9siGCbyWEE/T8/vfReAdVbQo8oVF+Rz9YICfvhSNXWtPU7HMeacWEE/T8/tPcWy6ZkUZqQ4HcUE2H0fWwDANzftwzvdvzGRwQr6eahp7mZvfYd1t0SposwUvnLVXF480MiTO2NyeVwTofwq6CKyTkQOiUi1iHxjlP2fFpEmEanyvT4b+Kjh46nKekTgo4unOh3FBMlnLp3BitIsvvnHfZxq73U6jjF+8WdN0Tjgx8A1QBnwSREpG6XpY6q61Pd6MMA5w4aq8lRlPStn5DA107pbolWcS/i/H1/CkFv5+hN7rOvFRAR/rtAvAqpV9ZiqDgCPAuuDGyt87axto6a5hxsvLHI6igmykpxU7r32ArYcbuI322udjmPMuPwp6EXAiWFf1/neG+lmEdktIo+LSPFoHyQiG0SkQkQqmpqaziOu856qrCMp3mX95zHi9otLuGxuHv/2zH721rc7HceYswrUTdE/AqWquhh4AfjlaI1UdaOqlqtqeV5e5K3u0zfo5pndp7hqwRTSkxOcjmNCwOUSvnfrUrInJfL53+6ko2/Q6UjGjMmfgl4PDL/inuZ77z2q2qyqZ+YefRBYHph44eXZPado6xnkthWj/gJiolR2aiI/+ptl1LX28vXHd1t/uglb/hT0t4E5IjJDRBKB24BNwxuISOGwL68HDgQuYvj4zbYaZuamcolNlRtzykuz+fq6eTy3913++5WjTscxZlTx4zVQ1SER+Xvgz0Ac8LCq7hOR+4EKVd0EfEFErgeGgBbg00HM7Ij9JzvYWdvGv1w331YmilF/++GZ7DvZwXf+fIjSnFSuW1w4/jcZE0LjFnQAVX0WeHbEe/cN274XuDew0cLLI9trSIp3ccvyaU5HMQ4REb5982LqWnv58u+rKMpKYWlxptOxjHmPPSnqh5buAZ7YWcf6pVPJnJTodBzjoOSEODbesZz8yUl85udvcbih0+lIxrzHCroffvHmcfqHPGxYPdPpKCYM5KQl8ev/fTHxcS5uf3A7Nc3dTkcyBrCCPq7u/iF++eZx1s4vYHZ+utNxTJgozU3lkc9ezKDbw988YEXdhAcr6OP43Vu1tPcOcvfls5yOYsLM3IJ0fn3XxXQPDHHLT7dy4FSH05FMjLOCfhadfYP89ytHuXR2DhdOz3I6jglDC4sy+MPfrSJOhFt/tpUdNa1ORzIxzAr6WTzw2ju0dA/wtasvcDqKCWNzCtL5w92ryE5N5JMPbOPJnXVORzIxygr6GBo6+njwtWNct6iQJTY0zYyjOHsST9xzCRdOz+TLv9/Fvz2znyG3rUtqQssK+hjuf2Y/Qx7la+vmOR3FRIictCR+fdfFfPqSUh56/R0++cA2TrTYMnYmdKygj+KVQ438afcp/uGK2ZTkpDodx0SQhDgX37x+Af9161IOnurkmu+/xh8qTtj8LyYkrKCP0No9wDee2MOsvFQ2XGbjzs35uWFZEc996cMsmDqZrz6+mzseeovqxi6nY5koZwV9GFXl60/sprm7n+/ftoyk+DinI5kINi1rEr/925X86/UL2PcRL9oAAAivSURBVFXXxjXf38K3nj1AW8+A09FMlLKCPsyPN1fzl/0NfO3qC1hYlOF0HBMF4lzCnZeUsvkfL2f90iJ+tuUYH/72Zv7rxcM2t7oJOHGqb6+8vFwrKiocOfZonq6s50uPVXHjsiK++4klNqOiCYqD73bwvRcO8+d9DaQmxnHz8ml8alUps/PTnI5mIoSI7FDV8lH3WUGHJ3bU8dXHd7GiNJtf3XWRdbWYoNtb387Dr7/DM7tPMeD2cMmsHG5YWsTVC6eQkWKrYZmxWUEfg8ej/ODlI3z/pSOsmpnDg3eWMynRrxmFjQmIps5+Hn2rlsd31lHT3ENinIvVc3O5fF4+l83Nozh7ktMRTZixgj6Ko01d/MtTe9l6rJmblhXxHzctIjnBrsyNM1SVXXXt/E9VPS/sb6CutReAmbmplJdmceH0LJZNz2JOfhoul3UHxrIJF3QRWQd8H++KRQ+q6v8ZsT8J+BXetUSbgVtV9fjZPtOpgn7w3Q4eeu0dnq6qJzkhjn++dj63rii2PvMQerqynu/8+RAn23qZmpnCV6+exw3LipyOFTZUlWOnu3nlUBOvH2mi8kQbbT3eG6gpCXHMyk9lTn46s/PTmJWXxrSsFAozkslOTbQ/xzFgQgVdROKAw8BaoA7vGqOfVNX9w9p8DlisqneLyG3Ajap669k+N9gF3eNRWnsGaOjo53BDJ3vq23nlUCNHm7pJTnDx8eXFfOHKOeSlJwUtg/mgpyvruffJPfQOut97LyUhjm/dtMiK+hhUlePNPeysaWXfyQ6qm7qobujkZHvf+9olxbsozEimYHIyWZMSyUpNICMlkaxJCWROSiA9OYGUhDiSE+JISYwjJcH7Sk50kZwQR4LLRZxLiHeJ/RYQxs5W0P3pML4IqFbVY74PexRYD+wf1mY98E3f9uPAj0RENAj9Oa8cauTf/3QAj0dxq+L26LBt8Pje6+ofwu356+ET412sKM3ijpUlrF9aRFaqrTzkhO/8+dD7ijlA76Cb7/z5kBX0MYgIM3JTmZGbys3L//p+Z98gx0/3UN/Wy6n2Xk6193GyrZfGjn6One6itXaQtp4BBt3n/tdQBOJd4ivw7y/0Z2q9IIiAvPc98r7v9+6Tv349rJ14P4Az/4q13yxuW1HMZz8c+AcX/SnoRcCJYV/XAReP1ca3qHQ7kAOcHt5IRDYAGwCmT59+XoHTkxOYW5CGS7x/2OJcQpxv2zVsOzUpjry0JHLTk5iTn87MvFQS4mzYvdNOtvWe0/tmbOnJCSyalsGiaWM/M6Gq9Ay4aesdpLNvkL5BDz0DQ/QNuukd8NA76KZ30E3/oJshj/diaMituD2ev3793r89uD2KKt4X3m0AhWHbiu+f9zL8dftMW33v+4jBWRFy04LTMxDSIR2quhHYCN4ul/P5jOUlWSwvWT5+QxOWpmamUD9K8Z6ameJAmugnIqQmxZOaFA/Yf+No588laz1QPOzrab73Rm0jIvFABt6bo8a8z1evnkfKiNFEKQlxfPVqm9XSmInyp6C/DcwRkRkikgjcBmwa0WYTcKdv+xbg5WD0n5vId8OyIr510yKKMlMQoCgzxW6IGhMg43a5+PrE/x74M95hiw+r6j4RuR+oUNVNwEPAr0WkGmjBW/SNGdUNy4qsgBsTBH71oavqs8CzI967b9h2H/DxwEYzxhhzLmzYhzHGRAkr6MYYEyWsoBtjTJSwgm6MMVHCsdkWRaQJqDnPb89lxFOoMcDOOTbYOceGiZxziarmjbbDsYI+ESJSMdbkNNHKzjk22DnHhmCds3W5GGNMlLCCbowxUSJSC/pGpwM4wM45Ntg5x4agnHNE9qEbY4z5oEi9QjfGGDOCFXRjjIkSYV3QRWSdiBwSkWoR+cYo+5NE5DHf/u0iUhr6lIHlxzl/WUT2i8huEXlJREqcyBlI453zsHY3i4iKSMQPcfPnnEXkE76f9T4R+W2oMwaaH3+2p4vIZhGp9P35vtaJnIEiIg+LSKOI7B1jv4jID3z/PXaLyIUTPqiqhuUL71S9R4GZQCKwCygb0eZzwE9927cBjzmdOwTnfAUwybd9Tyycs69dOrAF2AaUO507BD/nOUAlkOX7Ot/p3CE4543APb7tMuC407kneM6rgQuBvWPsvxZ4Du+yqiuB7RM9Zjhfob+3OLWqDgBnFqcebj3wS9/248CVEtmrzY57zqq6WVV7fF9uw7uCVCTz5+cM8G/At4G+UfZFGn/O+W+BH6tqK4CqNoY4Y6D5c84KTPZtZwAnQ5gv4FR1C971IcayHviVem0DMkWkcCLHDOeCPtri1CNXRXjf4tTAmcWpI5U/5zzcXXj/Dx/Jxj1n36+ixar6p1AGCyJ/fs5zgbki8oaIbBORdSFLFxz+nPM3gdtFpA7v+gv/EJpojjnXv+/jCuki0SZwROR2oBy4zOkswSQiLuC7wKcdjhJq8Xi7XS7H+1vYFhFZpKptjqYKrk8Cv1DV/yciq/CugrZQVT1OB4sU4XyFHouLU/tzzojIGuCfgetVtT9E2YJlvHNOBxYCr4jIcbx9jZsi/MaoPz/nOmCTqg6q6jvAYbwFPlL5c853Ab8HUNWtQDLeSayilV9/389FOBf0WFycetxzFpFlwM/wFvNI71eFcc5ZVdtVNVdVS1W1FO99g+tVtcKZuAHhz5/tp/FenSMiuXi7YI6FMmSA+XPOtcCVACIyH29BbwppytDaBHzKN9plJdCuqqcm9IlO3wke5y7xtXivTI4C/+x77368f6HB+wP/A1ANvAXMdDpzCM75RaABqPK9NjmdOdjnPKLtK0T4KBc/f86Ct6tpP7AHuM3pzCE45zLgDbwjYKqAq5zOPMHz/R1wChjE+xvXXcDdwN3DfsY/9v332BOIP9f26L8xxkSJcO5yMcYYcw6soBtjTJSwgm6MMVHCCroxxkQJK+jGGBMlrKAbY0yUsIJujDFR4v8DaE4tSM/fyFAAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3000000000000002\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3333333333333333\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3636363636363637\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3913043478260869\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4166666666666667\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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jXmHkL2jhj2VTcoiPE9ZbP7qJYH4HuoikA88DD6nq6X6bPwImquo84FHgxYFeQ1UfU9USVS3Jzc292JpNCGyubGBuQSbJCfFOlxISo5ITmF+YxTrrRzcRzK9AF5EEvGH+G1V9of92VT2tqi2++68CCSLiDmilJmTaOnvYWd0c9cMV+1sx1c3O6iaaWjudLsWYi+LPKBcBngT2quq/DdJmrK8dIrLE97r1gSzUhM62qia6PcqSSbHRf95rZbEbj8KHFfatayKTP6NcLgM+D+wUkW2+5/4emACgqj8Dbge+IiLdQBtwh9pldxGrtLIBEVg0MbaO0OcVZpGe5GLdwTqunzPO6XKMGbYhA11V1wMXHIisqj8GfhyoooyzSisbmD4mg8yU6FgQ2l8J8XEsm5LD+nI7YW8ikw24NR/T3ePhoyONUTtd7lBWFrupamjjSP1Zp0sxZtgs0M3H7D1+hrOdPSyeFJuBbtMAmEhmgW4+ZnOld0KuJTF6hD7JnUZ+VootS2cikgW6+ZjSww0Ujk5hbGay06U4QkRYMdXNhxX1dPd4nC7HmGGxQDfnqCplRxpYHGOjW/pbOc3NmfZudtQ0O12KMcNigW7OOVx3lrqWzpjtP+912RQ3Itg0ACbiWKCbc0oro3tBaH9lpyUye3ymBbqJOBbo5pzNhxsZnZbIlNw0p0tx3IpiNx8dbaSlo9vpUozxmwW6OafsSAMlE7OjdkHo4Vg51U23R9lo0wCYCGKBbgA4dbqdI/WtLInx/vNei4qySU6Is1WMTESxQDfAf40/j/X+815JrngunZRj49FNRLFANwCUVTaSmhjPrPHRvSD0cKwsdlNRe5ZjTW1Ol2KMXyzQDQCbDzewYEIWrnj7lui1otg7DYCNdjGRwn56Dafbu9h34rR1t/QzfUwGuRlJtoqRiRgW6IYtRxrxaOzO3zIYEWHlVDcflNfh8dj0/ib8+bNiUaGIrBGRPSKyW0S+PkAbEZEfiUi5iOwQkYXBKdcEQ+nhBlxxwoIJsbVCkT9WFLtpONvJnuP9l9E1Jvz4c4TeDXxTVWcCS4G/EJGZ/dpcBxT7bvcDPw1olSaoNh9uYE5BJimJsbEg9HD0TqdrwxdNJBgy0FX1uKp+5Lt/BtgL5PdrdjPwtHptBLJExNbwigDtXT3sqG627pZB5I1KZvqYDBu+aCLCsPrQRaQIWABs6rcpH6jq87ia80MfEblfRMpEpKy21n5AwsH2qiY6ezx2QvQCVha7Ka1spL2rx+lSjLkgvwNdRNKB54GHVPWiOhRV9TFVLVHVktzc3It5CRNgmw97LygqKbL+88GsKHbT2e05939lTLjyK9BFJAFvmP9GVV8YoEkNUNjncYHvORPmNvsWhM5KTXS6lLB16aQcEuNtGgAT/vwZ5SLAk8BeVf23QZq9BNztG+2yFGhW1eMBrNMEQe+C0DZ/y4WlJMazaGK2rTNqwp4/R+iXAZ8HrhKRbb7b9SLygIg84GvzKnAIKAceBx4MTrkmkGJ9QejhWDnNzd7jp6k90+F0KcYMyjVUA1VdD1xwPlVVVeAvAlWUCY1Nh71Tw9oIl6GtnJrLP7OfD8rruGXBeef7jQkLdqVoDCutjO0FoYdj1vhRZKcmWLeLCWsW6DFKVSmrbGRJUY7TpUSEuDhh+VQ368tr8f5Bakz4sUCPURW1Z6k/28mSSTZc0V8rp7o5ebqD8lMtTpdizIAs0GNU75hqu6DIf73T6a61bhcTpizQY1RpZQPu9EQmuW1BaH8VZKcyJTeN9/afcroUYwZkgR6jNh9uYHHRaFsQepiumpHHpkMNnO3odroUY85jgR6DapraqGlqswuKLsKVM/Lo7PHwgV01asKQBXoMKrX+84u2uGg06Uku1li3iwlDFugxaHNlAxlJLi4ZZwtCD1dCfBwri92s2WfDF034sUCPQRsr6lk8aTTxcdZ/fjGunJHHidPt7D1+xulSjPkYC/QYc/J0O4fqzrJssl1QdLFWTfdO/WzdLibcWKDHmI2HvPO3LLVAv2h5GcnMLcjk3X0W6Ca8WKDHmA0V9YxKdjFzvPWfj8Sq6XlsPdpI49lOp0sx5hwL9Biz4VA9SyblWP/5CF01Iw+PwvsHbClFEz4s0GPIsaY2jtS3snSyDVccqbn5mbjTE60f3YQVC/QY0tt/vmyK9Z+PVFyccMW0PN4/UEuPx4YvmvDgzxJ0vxCRUyKya5Dtq0Skuc9qRt8OfJkmEDZU1JOZksAlY63/PBCumpFHU2sXW440Ol2KMYB/R+i/AlYP0Wadqs733R4ZeVkmGDYerufSSaOJs/7zgLh8mpvE+Dje3H3C6VKMAfwIdFVdCzSEoBYTRNWNrVQ1tFl3SwBlJCdw2dQc3txz0q4aNWEhUH3oy0Rku4i8JiKzBmskIveLSJmIlNXW2uiAUNpQYf3nwXDtrLEcbWhl/0m7atQ4LxCB/hEwUVXnAY8CLw7WUFUfU9USVS3Jzc0NwFsbf204VE92agLT8jKcLiWqXH1JHiLw5u6TTpdizMgDXVVPq2qL7/6rQIKIuEdcmQkYVWVjRT1LJ+dY/3mA5WUks3BCNm9YP7oJAyMOdBEZK75VEkRkie8160f6uiZwDted5VhzO8utuyUorp05ht3HTlPd2Op0KSbG+TNs8bfABmC6iFSLyH0i8oCIPOBrcjuwS0S2Az8C7lA7QxRW1vsWY1hZbN1cwXDtrLEAvLXHul2Ms1xDNVDVO4fY/mPgxwGryATc2gN1FI5OYWJOqtOlRKVJ7jSmjUnnzd0n+cJlk5wux8Qwu1I0ynX1eNh4qJ4VU3Nt/dAgunbmWDZXNthkXcZRFuhRbntVEy0d3VxebOepg+naWWPo8Shv77VuF+McC/Qot/ZgHXECy6dYoAfTnPxM8rNSeH2XjXYxzrFAj3LrD9YypyCLzNQEp0uJaiLC9XPGsvZgLc2tXU6XY2KUBXoUa27rYltVk3W3hMiNc8fT1aO8sceO0o0zLNCj2IaKejwKK6ZaoIfC3IJMCken8MqO406XYmKUBXoUW3ewlrTEeBZMyHa6lJggItwwZzwflNfZaBfjCAv0KLa+vI6lk3NIdNnHHCo3zh1Hj0d53aYCMA6wn/Qodai2hSP1rVw+za4ODaVZ40cxyZ3GKzuOOV2KiUEW6FHq3X3etS6vmpHncCWxRUS4ce44NlTUU3umw+lyTIyxQI9Sa/afojgvncLRdrl/qN0wdxwehdd32clRE1oW6FHoTHsXmw832NG5Q6aPyWDamHRe3GbdLia0LNCj0PqDdXT1qAW6Q0SEWxcWsOVII4frzjpdjokhFuhR6N19pxiV7GLRRBuu6JRPL8gnTuA/P6p2uhQTQyzQo4zHo6zZf4orpufhireP1yljRiVz2VQ3L2ytweOx5QFMaPizwMUvROSUiOwaZLuIyI9EpFxEdojIwsCXafy1s6aZupZOrpphwxWddtvCAqob29hc2eB0KSZG+HMI9ytg9QW2XwcU+273Az8deVnmYr2z7xQicMU06z932idnjSUtMZ4XrNvFhMiQga6qa4ELHWLcDDytXhuBLBEZF6gCzfC8s/ckCydkMzot0elSYl5KYjzXzxnHqztP0NbZ43Q5JgYEopM1H6jq87ja99x5ROR+ESkTkbLa2toAvLXpq6qhld3HTvPJWWOcLsX43LaogJaObl6zMekmBEJ61kxVH1PVElUtyc21Pt5A611cYfUs+wMpXFw6aTST3Wk8s+mo06WYGBCIQK8BCvs8LvA9Z0Ls9d0nmDluFBNsMeiwISLcuWQCZUca2X/ijNPlmCgXiEB/CbjbN9plKdCsqvb3ZYidPN3OliONXDd7rNOlmH5uW1RAYnwcz2w64nQpJsr5M2zxt8AGYLqIVIvIfSLygIg84GvyKnAIKAceBx4MWrVmUG/6pmtdbYEedkanJXL9nLG8sLWG1s5up8sxUcw1VANVvXOI7Qr8RcAqMhfl9d0nmJybxtS8dKdLMQP4s0sn8uK2Y7yy/TifXVw49BcYcxHsUsIo0Hi2k42HGrhu9lhExOlyzAAWF2UzNS+d32y2k6MmeCzQo8Cfdh6nx6NcN9tGt4QrEeGuSyewvaqJbVVNTpdjopQFehT447YapualM2v8KKdLMRdwe0khGUkunlx/2OlSTJSyQI9w1Y2tlFY2csv88dbdEubSk1zcsaSQV3cep6apzelyTBSyQI9wf/QtonDz/AEvzjVh5p7lRQA8/WGlo3WY6GSBHsFUlT9uq2HRxGxbai5CFGSnct3ssTyz+SgtHTaE0QSWBXoE23v8DAdOtnDL/PFOl2KG4b4VkzjT3s2zpVVDNzZmGCzQI9iL22pwxQk3zLVAjyQLJmRz6aTRPLa2gvYum4XRBI4FeoTq7PbwwkfVXDkjz6bKjUBfu7qYk6c7+MMWmyvdBI4FeoR6Z+9J6lo6uXOJXXUYiZZPyWHhhCx+9l4Fnd0ep8sxUcICPUL9trSKcZnJtjJRhBIRvnp1MTVNbbaikQkYC/QIVNXQyrqDtXy2pJD4OBt7HqlWTctlbkEmP3mv3I7STUBYoEegP5R5R0fYJE+RTUT4xjXTqGpo4zc2ta4JAAv0CNPR3cMzm6tYNS2X/KwUp8sxI3TFtFyWT8nh0XfLOdPe5XQ5JsJZoEeYV7Yfp66lgy9cNsnpUkwAiAgPX3cJDWc7+fn7h5wux0Q4vwJdRFaLyH4RKReRbw2w/V4RqRWRbb7blwJfqlFVnlx/mGlj0llZ7Ha6HBMgcwoy+dS88Tyx/hAnmtudLsdEMH9WLIoHfgJcB8wE7hSRmQM0fVZV5/tuTwS4TgNsPNTAnuOn+eJlk2wirijzN9dOx+OB77221+lSTATz5wh9CVCuqodUtRP4HXBzcMsyA3ly/WFGpyVyywKbiCvaTMhJ5YFVU/jjtmN8WFHndDkmQvkT6PlA30knqn3P9XebiOwQkedEZMDhFyJyv4iUiUhZbW3tRZQbu/YeP83be09y19KJJCfEO12OCYIHV01hwuhU/seLu2wYo7kogTop+jJQpKpzgbeApwZqpKqPqWqJqpbk5uYG6K1jw6PvHiQ9ycUXLytyuhQTJMkJ8Xz35llU1J7l8XV2gtQMnz+BXgP0PeIu8D13jqrWq2qH7+ETwKLAlGcA9p84w6s7T3Dv8iKyUm3elmh25fQ8rps9lh++c5CDJ884XY6JMP4EeilQLCKTRCQRuAN4qW8DEem7mOVNgJ3ZCaAfveM9Or9vhQ1VjAX/eMtsMpJc/NXvt9HVY10vxn9DBrqqdgN/CbyBN6h/r6q7ReQREbnJ1+xrIrJbRLYDXwPuDVbBsWZndTN/2nmce5ZPJNtmVYwJ7vQk/unTc9hVc5pH3znodDkmgrj8aaSqrwKv9nvu233uPww8HNjSjKryv/60h9FpiXz5iilOl2NCaPXssdy6MJ+fvFfBymm5LC4a7XRJJgLYlaJh7M09J9l0uIG/umYao5ITnC7HhNh3bppFYXYKD/7mI06dtguOzNAs0MNUe1cP//SnvUzNS+dOm4QrJo1KTuBnn19ES3s3f/nMVutPN0OyQA9T//72QY42tPLIzbNwxdvHFKtmjB3F92+bw+bKBh55eQ+q6nRJJoz51YduQmv3sWYeX3eIz5YUsHyKzdkS626en8+eY6f5+dpDjMtK5sFVU50uyYQpC/Qw097Vw1//YQfZqQn8/fWXOF2OCRN/t3oGJ06388+v7yc3PYnPlFg3nDmfBXqY+cHr+9h7/DRP3lNiFxGZc+LihH+5fR4NZzv51gs7SXTFcfN8m9PHfJx1zoaRt/ec5JcfVHLv8iKuvmSM0+WYMJPoiuNndy1icVE2Dz27jd+XVg39RSamWKCHif0nzvDQs9uYnT+Kb103w+lyTJhKS3Lxy3uXsLI4l799fgc/f7/CTpSacyzQw0DtmQ7ue6qU1MR4Hr+7xGZTNBeUkhjP43cv4vo5Y/nea/v46z/soL2rx+myTBiwQHdYfUsHf/7ERupbOnn87hLGZdo6oWZoSa54fnznQh76RDHPf1TNHY9t5Ej9WafLMg6zQHdQ7ZkO7npyM0fqW3nynhLmFWY5XZKJIHFxwkOfmMbP7lpIRW0L13ojO5cAAAiwSURBVP9wHc+WHrUumBhmge6Q8lMt3PrTDzhc18Ljd5ewfKqNNzcXZ/Xscbz+0OXMLcji757fyV1PbuKATb0bkyzQHfCnHcf59H98QFunh2fvX8bl02yxDzMy+Vkp/OZLl/LIzbPYVXOa6364jm//cRfHm9ucLs2EkDj151lJSYmWlZU58t5OqW/p4Huv7eO5LdXML8zi0TsXUDg61emyTJRpONvJv765n2dLq4gT4faSAr6wvIjiMRlOl2YCQES2qGrJgNss0IOvrbOHZzYf5YdvH6C1s4cvXzGZhz4xjQSbo8UEUVVDKz99v4I/lFXR1aMsLsrmc4sncM0lY8hMtdk7I5UFukOqG1t5fksNT22opOFsJyuL3fzPT81kap4dKZnQqWvp4Pkt1fx281Eq61txxQlLJ+fwiUvyuHRyDtPHZBAXJ06Xafw04kAXkdXAD4F44AlV/X6/7UnA03jXEq0HPqeqlRd6zWgM9B6PsvtYM+vL63hvXy2bKxsAuHJ6Ll9ZNZXFRdmI2A/Oi1tr+Jc39nOsqY3xWSn8zSenc8sCu4w92DweZVt1E2/tOckbu09wqNY7zDEj2UXJxGxmjc9k2tgMpo1JZ7I7nUSX/QUZjkYU6CISDxwArgGq8a4xeqeq7unT5kFgrqo+ICJ3AJ9W1c9d6HUjLdC7ejyc7eimxXdraOnkWHM7x5vaONrQyv6TZ9h/4gwd3d45q2eMzeCGOeO4ZUG+9ZP38eLWGh5+YSdtfS6ESUmI53u3zrFQD7GqhlZKKxsorWxky5EGKmrP0uPx5oEI5GUkMS4zhfFZyYzLTCE7NYHM1EQyUxLO3dIS40lyxZOcEEeSK56khDiSXHF24BJEIw30ZcB3VPWTvscPA6jq9/q0ecPXZoOIuIATQK5e4MUvNtDf23+Kf3xlDwqgoN5afP+Cot5/fe884DZ6t+t/tevf1ncfhc4ez7mgHog7PZHpYzO4ZOwo5hRksnyKm9yMpGHvWyy47PvvUtN0/siL/KwUPvjWVQ5UZHp1dPdwuO4s+0+coaL2LMeb2jje3M6x5jZONLfT2un/1aiJrjhccUKcCHHiHTMfL4L4Hsf3bouDOBEELvhLYMhfD0M0GOrrh/oFFOhfT59bXMiXVk6+qK+9UKD7M9tiPtB3FqBq4NLB2qhqt4g0AzlAXb9C7gfuB5gwYYJfxfeXkZzAjLGjQDj3TeD99+OPvdulz/N9Hvsa9H6G523nvz5gEUiMjyMtyUW675aW5CI7LYHxmSmMzUy2S/WH4dgAYX6h503oJLnimTF2lPfnawAd3T00t3Vxuq2L5rYumlq7aOvqoaPLQ3v3+f96PEqPBzyqfW7erh+Perdpn+cHM1Sn8FAHpUN2Kg/RQId+hWFzpwfngC+k0+eq6mPAY+A9Qr+Y11g0MZtFE7MDWpcJnfFZKQMeoY/PsikPwl2SK568jHjyMpKdLsUMwp+zHjVA39n0C3zPDdjG1+WSiffkqDEf8zefnE5Kv79oUhLi+ZtPTneoImOihz+BXgoUi8gkEUkE7gBe6tfmJeAe3/3bgXcv1H9uYtctC/L53q1zyM9KQfD2ndsJUWMCY8guF1+f+F8Cb+AdtvgLVd0tIo8AZar6EvAk8GsRKQca8Ia+MQO6ZUG+BbgxQeBXH7qqvgq82u+5b/e53w58JrClGWOMGQ67csAYY6KEBboxxkQJC3RjjIkSFujGGBMlHJttUURqgSMX+eVu+l2FGgNsn2OD7XNsGMk+T1TVAVfFcSzQR0JEygabyyBa2T7HBtvn2BCsfbYuF2OMiRIW6MYYEyUiNdAfc7oAB9g+xwbb59gQlH2OyD50Y4wx54vUI3RjjDH9WKAbY0yUCOtAF5HVIrJfRMpF5FsDbE8SkWd92zeJSFHoqwwsP/b5GyKyR0R2iMg7IjLRiToDaah97tPuNhFREYn4IW7+7LOIfNb3We8WkWdCXWOg+fG9PUFE1ojIVt/39/VO1BkoIvILETklIrsG2S4i8iPf/8cOEVk44jdV1bC84Z2qtwKYDCQC24GZ/do8CPzMd/8O4Fmn6w7BPl8JpPrufyUW9tnXLgNYC2wESpyuOwSfczGwFcj2Pc5zuu4Q7PNjwFd892cClU7XPcJ9vhxYCOwaZPv1wGt4V71cCmwa6XuG8xH6EqBcVQ+paifwO+Dmfm1uBp7y3X8OuFoie7nxIfdZVdeoaqvv4Ua8K0hFMn8+Z4B/BH4AtIeyuCDxZ5//G/ATVW0EUNVTIa4x0PzZZwV6FzTNBI6FsL6AU9W1eNeHGMzNwNPqtRHIEpFxI3nPcA70gRan7r8qwscWpwZ6F6eOVP7sc1/34f0NH8mG3Gffn6KFqvqnUBYWRP58ztOAaSLygYhsFJHVIasuOPzZ5+8Ad4lINd71F74amtIcM9yf9yGFdJFoEzgichdQAlzhdC3BJCJxwL8B9zpcSqi58Ha7rML7V9haEZmjqk2OVhVcdwK/UtV/FZFleFdBm62qHqcLixThfIQei4tT+7PPiMgngH8AblLVjhDVFixD7XMGMBt4T0Qq8fY1vhThJ0b9+ZyrgZdUtUtVDwMH8AZ8pPJnn+8Dfg+gqhuAZLyTWEUrv37ehyOcAz0WF6cecp9FZAHwc7xhHun9qjDEPqtqs6q6VbVIVYvwnje4SVXLnCk3IPz53n4R79E5IuLG2wVzKJRFBpg/+3wUuBpARC7BG+i1Ia0ytF4C7vaNdlkKNKvq8RG9otNngoc4S3w93iOTCuAffM89gvcHGrwf+B+AcmAzMNnpmkOwz28DJ4FtvttLTtcc7H3u1/Y9InyUi5+fs+DtatoD7ATucLrmEOzzTOADvCNgtgHXOl3zCPf3t8BxoAvvX1z3AQ8AD/T5jH/i+//YGYjva7v03xhjokQ4d7kYY4wZBgt0Y4yJEhboxhgTJSzQjTEmSligG2NMlLBAN8aYKGGBbowxUeL/A6hz+CdzZpPqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.39999999999999997\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3846153846153846\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4074074074074074\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.42857142857142866\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.41379310344827586\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4333333333333333\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4193548387096775\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.43749999999999994\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.42424242424242425\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4117647058823529\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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Dmq5R2+aAzSpYlRedS2/NRER8EzTxDkUyEAY1XaOuzYGVeelItFl1l6LNphI7mnqG0Ts0rrsUIgAMaprE41Wob3fEbH864EqfupV9ajIGBjVd0dg1hOEJT8wH9ZqCDNiswj41GcaMQS0iRSKyX0TeF5FTIvJnkSiMIq+2zRdMsXajy/USbVaszs/AMQY1GUQwZ9RuAH+hlFoFYBuAL4nIqvCWRTrUtjmRnhiHsuwU3aVot6nEjrp2B1wer+5SiGYOaqXUJaXUMf/jQQCnARSEuzCKvNo2B9YXZcJiiZ0Z86azqcSOcbcX718c0F0K0ex61CJSCmAjgCPhKIb0GZlw48zlAWyM8bZHQOCCYlVzn+ZKiGYR1CKSCuA/APw3pdQNpxki8riIVItIdXd3dyhrpAg40e6bMS/W+9MBC9MTUZKdjKNNDGrSL6igFhEbfCH9C6XUS1Nto5Tao5SqVEpV5ubmhrJGioDAULSNxXbNlRjHtrJsHGnqg5cTNJFmwYz6EAA/BXBaKfWD8JdEOtS09GFxTkpMzpg3nW3lWXCOutBwmRM0kV7BnFHfCuCPAOwUkVr/n91hrosiSCmFmpb+K31Z8tlalg0AOHyhV3MlFOviZtpAKXUQAIcBRLGmnmH0j7gY1NfJz0xCSXYyDl/oxX/dUaa7HIphvDORUO2/sYNBfSP2qckIGNSEYy39yEiyoTw3VXcphsM+NRkBg5pQ09KPimLe6DIV9qnJCBjUMc454sK5riFUlmbpLsWQJvepiXRhUMe4wAT5FRw/PS32qUk3BnWMq2nph9UiWF+UobsUw2KfmnRjUMe4mpZ+rM5PR3L8jCM1Yxb71KQbgzqGuTxe1LY52PaYQaBP/R6DmjRhUMewhkuDGHV5OH46CLcszsbhC71wc35q0oBBHcOO+qfwrCxlUM/ktqW5GBxzo67dqbsUikEM6hh25EIvirOSkZeRpLsUw9teng0R4OC5Ht2lUAxiUMcor1fhaHMftpZx/HQw7CnxWFeQgQPnONc6RR6DOkad6RyEY8SFbYuzdZdiGjuW5uB4mwODYy7dpVCMYVDHqCP+EQxbF/OMOli3Lc2Fx6vw3nmO/qDIYlDHqCNNfSjITEKhPVl3KaZRUWxHcrwVBxvZp6bIYlDHIKUUjjb18Wx6luLjLNi2OBsHeEGRIoxBHYMau4bQOzyBbWXsT8/WjiU5aOoZRlvfiO5SKIYwqGPQYfan5+z2ZTkAwPYHRRSDOgYdburDovREFGexPz1b5bmpyM9IxNtnunSXQjGEQR1jlFI4csHXn/YtME+zISK4a8UCHDjXg3G3R3c5FCMY1DGmsWsIPUPjHD89D7tWLsDIhAdHLvTpLoViBIM6xgRGLOxYkqO5EvPaXp6DRJsF+xrY/qDIYFDHmIONPSjNTkYR+9Nzlmiz4tbyHOxt6IRSXPWFwo9BHUMm3F4cvtCL25bm6i7F9HauXIC2vlE0dg3pLoViAIM6hhxv7cfIhAc7lrLtMV87VywAAOxl+4MigEEdQw6c64HVIrilnBcS5ysvIwmr89Ox93Sn7lIoBjCoY8iBxh5sKMpEeqJNdylRYdeKBahp6Uf/8ITuUijKMahjhHPEhRPtDo72CKGdKxfCq8DRHxR2DOoY8e75HngVcBv70yGzvjAD+RmJeOPkZd2lUJRjUMeI35/tRlpCHNYXZeouJWqICO5Zk4d3znVzMQEKKwZ1DPB6FfY1dOH25bmwWfmSh9LutYsw4fay/UFhxe/aGHDq4gC6Bsexyz+kjEKnotiOBWkJeOME2x8UPgzqGLC3oRMiwJ3LGdShZrEI7l2zCPvPdGF43K27HIpSMwa1iDwjIl0icjISBVHo7WvoQkWxHVkp8bpLiUr3rs3DuNuLt89whXIKj2DOqH8G4J4w10Fh0jkwhvp255U76Sj0NpdmISc1Hq+duKi7FIpSMwa1UuodAJzP0aT2+y9y7VrJoA4Xq0Xw4bV5eOt0F5yjHP1BoReyHrWIPC4i1SJS3d3NXwGN4q3TnSjITMLyhWm6S4lqH6soxITbizdOXNJdCkWhkAW1UmqPUqpSKVWZm8vZ2YxgcMyFd8724O7Vi7iaS5itL8zA4pwUvHS8Q3cpFIU46iOK7WvowoTHi91rF+kuJeqJCB6sKMDRpj6uUE4hx6COYq+fuIQFaQmoKLbrLiUmPLChAADw61qeVVNoBTM87zkA7wFYLiLtIvJY+Mui+Roed+PtM924d80iWCxse0RCUVYytpRl4aVjHVz5hUIqmFEfn1RK5SmlbEqpQqXUTyNRGM3P/jNdGHd7sXttnu5SYspDFQW40DOMY639ukuhKMLWR5R6/cQl5KQmoLI0S3cpMeXD6/KRmhCHXxxp1V0KRREGdRRyjrrw1uku7F67CFa2PSIqNSEOH92Yj1frL8ExwgUFKDQY1FHo9ROXMOH24qGKQt2lxKRPbS3BhNuLF2vadZdCUYJBHYVeOtaO8twUrCvM0F1KTFqZl45NJXb84kgrLypSSDCoo0xL7zCqmvvxYEUhb3LR6FNbi9HUM4yDjT26S6EowKCOMv95vAMiwMc2FuguJabtXpuHnNQEPH2gSXcpFAUY1FHE61V46VgHtpdnIz8zSXc5MS3RZsUfby/B7892o+HygO5yyOQY1FHkQGMPWvtG8InKIt2lEIBHt5UgyWbFP7/Ds2qaHwZ1FPm391qQkxqPe9Zwbg8jyEyOx8Obi/BKXQcuO8d0l0MmxqCOEh2OUexr6MTDm4uQEGfVXQ75PbajDF4F/NM753WXQibGoI4Sz/nvhPvklmLNldBkRVnJeHBjAX5xpBWXnKO6yyGTYlBHgZEJN5490oJdKxei0J6suxy6zp/uWgqlFH6yv1F3KWRSDOoo8HxVGxwjLnz+9sW6S6EpFGUl4+HNRXi+qo1zVdOcMKhNzuXx4ukDTagssXMCJgP78l1LISL4we/O6i6FTIhBbXKv1l9Eh2MUT9xRrrsUuolFGYn43G1l+M/jHahp4RSoNDsMahNzebx4am8jVixKw84VXGXc6L545xIsTE/AN185Ba+Xc4BQ8BjUJvZiTTuaeobxFx9azlVcTCAlIQ5f370SJzqceKG6TXc5ZCIMapMac3nw92+dQ0VxJj6wkmfTZnH/+nxsLrXjO280oHOAN8FQcBjUJvXTg024PDCGJ+9ewVnyTERE8LcPrcOYy4Ovv3SC06BSUBjUJtTeP4If7TuHu1cvxC3l2brLoVlanJuKr96zAnsburi4AAWFQW1C33r1fQgE//Mjq3WXQnP0me2l2FKahW++cgqNXUO6yyGDY1CbzG9OXsabpzrxJ7uWoIBTmZqWxSL44SMbkGCz4olnazA87tZdEhkYg9pEugbG8LWX6rGmIB2f3cG7EM0uPzMJP/rkRlzoHsJX/6OeQ/ZoWgxqk/B6FZ58sR6jLg9++PBGxMfxpYsGty7JwVfvWYHX6i/hu79p0F0OGVSc7gIoOD/cew6/P9uNbz2wGksWpOouh0Lo87cvxkXHKPa8cwE5qfF4/HbeZUrXYlCbwGv1l/DU3nP4g02FeHRbie5yKMREBN/4yGr0Dk3g26/7zqoZ1jQZg9rgDjX24Csv1KKiOBN/87E1HDMdpawWwd89vAEQ4NuvN8Ax4sKTdy/n600AGNSGduRCLz7782qUZqfg6U9v5sotUS4+zoKnHtmI9MQ4/N+3z6O5dxj/++PrkZrAb9NYxytSBvVa/SX80TNHkZ+ZiGc/uxVZKfG6S6IIsFoE3/7YWnzt3hX4zcnLeODHB/H+Ra5iHusY1Abj9njxg9+dxZf+/RjWFWTgV09sR25agu6yKIJEBJ+/oxzPPrYVzlE37v/xQXz/t2cw5vLoLo00YVAbyPnuITy85zCe2nsOD1YU8Ew6xm1fkoPf/fntuH9DPn60rxG7vv97vFjTDg/HW8ccCcekMJWVlaq6ujrk+41WPUPj+Me3z+Nn7zYjKd6Kv/noGjywoUB3WWQg7zb24DtvNOBEhxMl2cn49C2l+HhlIdITbbpLoxARkRqlVOWUH2NQ66GUwsmOAfyyqhW/qmmHy+PFw5VF+O93L0dOKlsddCOvV+HNU5fx9MEm1LT0I8lmxc6VC3Df2jzctiyXFx1N7mZBHdQrKyL3APh7AFYATyulvhvC+mLG0Lgb1c19ePd8L9463YkL3cOIt1rwYEUBPnf7YpTnmvtGlpePd+B7b57BRcco8jOT8OTdy/HRjfzNIFQsFsG9a/Nw79o81Lc78HxVG35z8jJeq7+EOItgXWEGti3OxtqCDKzIS0dJVjIXlIgSM55Ri4gVwFkAHwTQDqAKwCeVUu9P9zmxdkbt8ngxMuHByIQbw+MeOEcn0Dkwjs6BMVweGMP5rmGc6RxAW98oACDeakFlqR0fWZ+P3WvykJFs/l9fXz7ega+9dAKjky54Jdms+M6DaxnWYeT2eHG0uQ+HGnvw3vle1LU7r/Swk2xWlGQnoyAzCfmZScjLTERWcjwyk23ISPL9m5oQhwSbBQlxViTEWZAQZ+HYbU3me0a9BUCjUuqCf2e/BPAAgGmDeq7u+9EBjE74vtHVlb+u/AOl1KTHQOCtwM+ayT9zrt/Wtx816fHk7a/uZ7rnuv598G874fFiwu2d9phsVkFpdgrWFWbiE5uKsKE4E5UlWUiKj64x0d9788w1IQ0Aoy4PvvfmGQZ1GMVZLdhenoPt5TkAfCv/nOscwulLAzh9eQBtfSPocIyhqrkPA2PBzdAX7w9sq0VgEYFFfCNRLAL/2wK58tj3L0KQ7aH48RCKHzLz2YM9OR4vPHHLvGu4XjBBXQBg8gJv7QC2Xr+RiDwO4HEAKC4unlMxSxek+ULP/z8luPofH/jPm/w1ISJX/1OvfI7vi+jq5199/5XPn/RJk7e9uv9J2056LkzaJrDP+DgLkuOtSI63IiUhDsnxVqQn2bAwLRGLMhKRmWSLiV8/LzpGZ/V+Co9EmxVrCzOwtjDjho8Nj7vhGHXBOeKCY3QCA6MuDI65Me72+v94MOby/Tvu8kIpBa8CvP5/fW9Pep/36uP5CsmVshDsRM1zJ+G6uBuyqw9KqT0A9gC+1sdc9vF3D28IVTkUYfmZSeiYIpTzOWe2YaQkxCElIY7zmJtQMOOoOwAUTXq70P8+oiuevHs5kmzXtnOSbFY8efdyTRURRY9gzqirACwVkTL4AvoRAH8Y1qrIdAJ9aI76IAq9GYNaKeUWkS8DeBO+4XnPKKVOhb0yMp2PbixgMBOFQVA9aqXU6wBeD3MtREQ0Bc71QURkcAxqIiKDY1ATERkcg5qIyODCMnueiHQDaJnjp+cA6AlhOWbAY45+sXa8AI95tkqUUrlTfSAsQT0fIlI93cQk0YrHHP1i7XgBHnMosfVBRGRwDGoiIoMzYlDv0V2ABjzm6BdrxwvwmEPGcD1qIiK6lhHPqImIaBIGNRGRwWkLahG5R0TOiEijiPyPKT6eICLP+z9+RERKI19l6ARxvF8RkfdFpF5E9opIiY46Q2mmY5603UMiokTE9EO5gjlmEfmE/7U+JSL/HukaQy2Ir+1iEdkvIsf9X9+7ddQZKiLyjIh0icjJaT4uIvKU//+jXkQq5v2kSqmI/4FvutTzABYDiAdQB2DVddt8EcA/+h8/AuB5HbVG8HjvApDsf/wFMx9vsMfs3y4NwDsADgOo1F13BF7npQCOA7D7316gu+4IHPMeAF/wP14FoFl33fM85tsBVAA4Oc3HdwN4A76V/LYBODLf59R1Rn1lwVyl1ASAwIK5kz0A4Of+xy8C2CXmXR55xuNVSu1XSo343zwM30o6ZhbMawwA3wLwtwDGIllcmARzzJ8D8BOlVD8AKKW6IlxjqAVzzApAuv9xBoCLEawv5JRS7wDou8kmDwD4V+VzGECmiOTN5zl1BfVUC+ZeP+P8lW2UUm4ATgDZEaku9II53skeg+8nspnNeMz+XwmLlFKvRbKwMArmdV4GYJmIHBKRwyJyT8SqC49gjvmbAB4VkXb45rX/k8iUps1sv99nFLLFbSk0RORRAJUA7tBdSziJiAXADwD8seZSIi0OvvbHnfD91vSOiKxVSjm0VhVenwTwM6XU90XkFm5N/5AAAAGQSURBVAD/JiJrlFJe3YWZha4z6mAWzL2yjYjEwfcrU29Eqgu9oBYIFpEPAPhLAPcrpcYjVFu4zHTMaQDWAHhbRJrh6+W9YvILisG8zu0AXlFKuZRSTQDOwhfcZhXMMT8G4AUAUEq9ByARvsmLolXIFwTXFdRXFswVkXj4Lha+ct02rwD4tP/xxwHsU/5OvQnNeLwishHAP8EX0mbvWwIzHLNSyqmUylFKlSqlSuHry9+vlKrWU25IBPN1/TJ8Z9MQkRz4WiEXIllkiAVzzK0AdgGAiKyEL6i7I1plZL0C4L/4R39sA+BUSl2a1x41XjndDd/ZxHkAf+l/3/+C75sV8L2YvwLQCOAogMW6r/aG+XjfAtAJoNb/5xXdNYf7mK/b9m2YfNRHkK+zwNfyeR/ACQCP6K45Ase8CsAh+EaE1AL4kO6a53m8zwG4BMAF329IjwF4AsATk17jn/j/P06E4uuat5ATERkc70wkIjI4BjURkcExqImIDI5BTURkcAxqIiKDY1ATERkcg5qIyOD+PxktGQX3lyGSAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.42857142857142855\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.41666666666666663\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4324324324324324\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.44736842105263164\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4358974358974359\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.42500000000000004\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4390243902439024\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4285714285714286\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.41860465116279066\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4090909090909091\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.4000000000000001\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3913043478260869\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3829787234042553\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.375\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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SaO33WqLbA5i3NzW7P8hmGNQWNuCdw8RswPQDiVG5GckozU7l3tRkOwxqC7PSQGLUzrJsXOzm5kxkLwxqC7PK1Lz5dpVn48rQFCZm/XqXQpQwDGoLaxvwIjc9CfkZyXqXEjN15TkAwFY12QqD2sJa+ydRbfI9PhaqKwsvJb/QxaAm+2BQW5RSCq19XmyzULcHAORlJKMsJw3n2aImG2FQW1T32Ay8cwFsL7FWUAPhfmp2fZCdMKgtqqU3PONje7Fb50pir648G9eGpzE+zQFFsgcGtUVdjkzN21ZswRZ1WXhA8QJb1WQTDGqLau6dwIa8NGSmrLhBoulEBxTPd4/pXAlRYjCoLaqlz2vJbg8AyE5Pwsb8dM78INtgUFvQrD+Iq0NT2G7Bbo+ourJsnGdQk00wqC2ofWASwZCybIsaCAd199gMRqZ8epdCFHcMagtq6YvM+LDg1LyouvLIwhcOKJINMKgtqKV3AikuByrzM/QuJW523lihyAFFsj4GtQVd7vdia1EWnA7rLB1fyJ2ahE0FGTh7nS1qsj4GtQU193otPZAYtWdDDs5eH4NSSu9SiOKKQW0xg945DE3OWXKhy0L1FTkYmpxD1+iM3qUQxRWD2mIuRwYSo8dWWVl9RS4A4HTnqM6VEMUXg9piWvrCx1TZoetje3EW0pKcONPJAUWyNga1xTT3elGQmYL8zBS9S4k7l9OBXeXZOHOdQU3WtmJQi8gGETkmIpdEpElE/jwRhdHaNPWMo7bU+t0eUfUVubjUM45Zf1DvUojiRkuLOgDgE0qpGgAHAHxMRGriWxatxaw/iLaBSewss1NQ58AfVGjq4TQ9sq4Vg1op1auUOh352AugGUBZvAuj1Wvt9yIYUqgtzda7lISprwhvecp+arKyVfVRi0glgHoAJ+JRDK3Pxe7wQOJOGwV1YVYqynPTGNRkaZqDWkQyAfxfAP9VKTWxyPOHRaRRRBoHBwdjWSNp1NQzjqxUFzbkpeldSkLVV+Ryih5ZmqagFpEkhEP6h0qpny52jVLqiFKqQSnV4PF4YlkjaXSxZwK1pW5LnTquxd6KHPSOz6J3nAtfyJq0zPoQAP8CoFkp9eX4l0RrEQiG0NI7Yatuj6jowhd2f5BVaWlR3wbgPwC4W0TORn7dH+e6aJXeHJzCXCCEWhvN+IiqKXEjxeVAYwe7P8iaVjxQTyn1MgB7/VvahKLT0+zYok52ObC3IhcnO4b1LoUoLrgy0SIudk8gNcmBTZ5MvUvRxb6qPFzqmcDErF/vUohijkFtEU0949hR4rb0HtTL2V+Vh5ACTl1j9wdZD4PaAkIhhUs99hxIjKqvyIXLITh5dUTvUohijkFtAR3DU/DOBWy1dHyhtGQndpVnM6jJkhjUFnA2snvcng25Oleir31V+TjfNYYZHzdoImthUFvAuetjyEh2YkuhPQcSo/ZX5cEfVDhznf3UZC0Mags4e30MdeXZth1IjLqlMhciYPcHWQ6D2uRm/UFc6p3A7g05epeiO3dqEmpK3DhxhUFN1sKgNrnm3gn4gwr1DGoAwP6qfJzuHOVBAmQpDGqTiw4kskUddnt1PuYCIc6nJkthUJvcuetjKHKnoCTbXlubLmVfVT5cDsHL7UN6l0IUMwxqkzt7fQx72Jq+ITPFhb0VuXiFQU0WwqA2sbFpHzqGp9ntscBtWwpwoXsco1M+vUshigkGtYlFTzWpt/lCl4Vury6AUsBrV7ibHlkDg9rETl4dRZJT2PWxwO7ybGSmuPBSG7s/yBoY1Cb2RscIdpZlIy3ZqXcphuJyOnBgUz5ebufZnWQNDGqTmvUHcb5rDPsq8/QuxZDu2lqA6yMzuDI4qXcpROvGoDapc9fH4A8qvI1BvaiD2wsBAC+0DOhcCdH6MahN6o2O8DLpWzZyIHEx5bnp2F6cheebGdRkfgxqk3qjYxRbizKRm5GsdymGdff2QrzRMYLxGR7PRebGoDahYEjh9LVRdnus4NCOQgRCCi+1cVCRzI1BbULNvRPwzgWwr4pBvZw9G3KRm57E7g8yPQa1Cb0eWcjBFvXynA7BwW2FOHZ5AMGQ0rscojVjUJvQy+1D2OTJQGkON2JayaEdRRib9vMwATI1BrXJ+AIhnLgygju2FOhdiikc3O5BapIDv7nQq3cpRGu2YlCLyLdEZEBELiaiIFre6c5RzPiDuI1BrUl6sgt3by/Eby/2sfuDTEtLi/o7AO6Lcx2k0SvtQ3AIcGBzvt6lmMYDdaUYmpy7MfecyGxWDGql1HEA/Ak3iJfahrB7Qw7cqUl6l2Ia0e6PX59n9weZE/uoTWR8xo/zXWPsn16l9GQXDm0vYvcHmVbMglpEDotIo4g0Dg5ygUE8HG8dREgBd2716F2K6dxfV4KhyTmc4B7VZEIxC2ql1BGlVINSqsHjYZDEw3PN/cjLSEZ9Bff3WK1DOwqRlerCU6e69C6FaNXY9WESgWAIL14exB9s88DpEL3LMZ3UJCce3F2K31zshXeWe3+QuWiZnvckgNcAbBORLhF5NP5l0UKN10YxPuPHO3YU6V2Kaf1JwwbM+kP4FQcVyWS0zPp4RClVopRKUkqVK6X+JRGF0c2eb+5HstOBO9g/vWa7y7NRXZiJnzRe17sUolVh14cJKKXwXPMA9m/KQ2aKS+9yTEtE8L6GDTjdOYb2AZ78QubBoDaB5l4vrg5N4Z7aYr1LMb331JchySn44YlrepdCpBmD2gSOnuuB0yG4fyeDer08WSl4oK4EP2ns4qAimQaD2uCUUvjluR7cvqUA+ZkpepdjCR++rQqTcwFO1SPTYFAb3OnOMXSPzeDB3aV6l2IZuzfkoL4iB999tQMhrlQkE2BQG9wvz/UgxeXAPbWclhdLH76tCh3D03j2Ur/epRCtiEFtYHOBII6e64msquMmTLF0/85iVOan42svtEEptqrJ2BjUBvZsUz9Gpnx4/9sq9C7FclxOBz52cAuaeibwQgvPVCRjY1Ab2JMnO1GWk8bd8uLkPfVl2JCXhq8+z1Y1GRuD2qCuDk3h1TeH8ci+DXBwb4+4SHI68PjBapzrGsfTF/v0LodoSQxqg/r2K1eR5AyvpKP4ee8t5dhenIUv/LYFc4Gg3uUQLYpBbUAjUz78uPE63rOnDIXuVL3LsTSnQ/DZB3agc2Qa33mlQ+9yiBbFoDag7792DbP+EA7fuUnvUmzhjmoP7t5eiK8+34busRm9yyH6PQxqg5mY9eM7r17Foe2FqC7K0rsc2/j8g7UIKeCzP7vAgUUyHAa1wXzz+BWMTvvx396xVe9SbGVDXjo+ee82vHh5ED893a13OUQ3YVAbyKB3Dt98+Soe2FWCnWXZepdjOx98eyUaNubir4824erQlN7lEN3AoDaQLz7dAl8ghE+wNa0Lp0PwlUfq4XIKPvqDU5j1cxYIGQOD2iBee3MYT53qwuE7N2GTJ1PvcmyrLCcNT7x/D1r6vPjUU+e5aRMZAoPaAKbmAvgfP7uADXlpePzuar3Lsb2D2wrxqfu24ei5Hvzd0y16l0MEnutkAH/5i4voGJ7Cjz5yAGnJTr3LIQAfvWsz+sZnceT4FWQku/DxQ1sgwhWipA8Gtc6ePNmJn57uxscPVePWzfl6l0MRIoK//sNaTM0F8cRzrZj2BfDpd25nWJMuGNQ6OtYygL/4+UXcudWDj9+9Re9yaAGnQ/Clh3YhI8WJbxy/go7hKfzD+/bwgGFKOPZR6+SFln489oNT2FGShX/6071wOfmtMCKHQ/D5B2vxl++qwXPNA3jwH1/GqWujepdFNsN0SDClFH50ohOHv3cKW4uy8N0P70MGW2iGJiJ49PYq/ODR/Zj1BfHQP7+Kzx1twti0T+/SyCYkHstlGxoaVGNjY8xf1+wGvXP4m19dwi/P9eDOrR58/d/X8+QWk5mcC+B/Pd2C779+DZnJLnzkjk34s1s3IjcjWe/SyORE5JRSqmHR57QEtYjcB+ArAJwAvqmU+rvlrmdQ32xi1o8nT3TiH4+1Y9YfxMfvrsbHDm7hPtMm1tI3gS8/24pnL/Uj2eXAA3UleHBPKd6+OR8pLs7codVbV1CLiBNAK4B3AOgC8AaAR5RSl5b6GgY14AuE8NqVYTx9sQ+/PNeDybkA7trqwV/9YQ02W3RBy8/PdONLz1xGz9gMSnPS8Ml7t+E99WV6lxVXl/u8+NGJa/jp6W545wLITHHhti35aNiYh70bc1FT4uaUS9JkvUF9K4DPKaXujXz+GQBQSn1hqa+xQ1AHgiFMzQXhnfNjbNqPnrEZdI/N4NrwNM51jaGpZwK+QAgZyU7cU1uM/3hbFerKrbt/x8/PdOMzP72AmXnLrtOSnPjCH9dZPqyB8EHEr745jGeb+vBK+zA6R6ZvPFeanYpNnkxU5KejMCsFnqwUFGSmIC8jGRnJLmSkOJEe+T0tyckpgDa1XFBrGcUqA3B93uddAPbHorCF3vW1lzDjC/9BVzf+E/4t+hdK+OPo45HH1FuPQcu1N657601uflwtuObmxwJBdVMgzZee7MTO0mx88NaN2F+Vj9urC5CaZP0W1Zeeufx7/09m/EF86ZnLtgjqFJcTB7cV4uC2QgDh8YjTnaNo7fPiytAUrgxO4rcXejE67V/xtZwOgdMhcEV/OR03Pnc6BNEcF7wV6G89Fv183nMLPpj/10D0Ov7VEBu56cn48WO3xvx1YzbdQEQOAzgMABUVazs1u7owC75A6KYfqPk/SLLE49EPoj+4IvN/YG9+/K3fV7520R96AVwOQWZKErJSXchMdcGd6kJpThrKc9ORm55kyxZRzxIb7i/1uNV5slJwb20x7q0tvulxfzCEkSkfBr1zGJnyYdoXxLQvgClfENNzAUz7ggiGFAIhhWAohEBIIRCc93nwrUZI1PyGSfjzec8tcc38TxSW/1c1aeeO0+QALUHdDWD+wX3lkcduopQ6AuAIEO76WEsxT7x/z1q+jAygNCdt0dNRSnPSdKjGuJKcDhS5U1HEI9ZoFbTMo34DQLWIVIlIMoCHARyNb1lkNp+8dxvSFnTxpCU58cl7t+lUEZF1rNiiVkoFROS/AHgG4el531JKNcW9MjKVaD+03WZ9ECUCF7wQERnAcrM+uISciMjgGNRERAbHoCYiMjgGNRGRwTGoiYgMLi6zPkRkEMC1NX55AYChGJZjBrxn67Pb/QK859XaqJTyLPZEXIJ6PUSkcakpKlbFe7Y+u90vwHuOJXZ9EBEZHIOaiMjgjBjUR/QuQAe8Z+uz2/0CvOeYMVwfNRER3cyILWoiIppHt6AWkftE5LKItIvIpxd5PkVE/i3y/AkRqUx8lbGj4X7/u4hcEpHzIvK8iGzUo85YWume5133XhFRImL6GQJa7llE3hf5XjeJyI8SXWOsafjZrhCRYyJyJvLzfb8edcaKiHxLRAZE5OISz4uIfDXy/+O8iOxd95sqpRL+C+HtUt8EsAlAMoBzAGoWXPOfAfxz5OOHAfybHrUm8H4PAkiPfPxRM9+v1nuOXJcF4DiA1wE06F13Ar7P1QDOAMiNfF6od90JuOcjAD4a+bgGQIfeda/znu8EsBfAxSWevx/AbxE+JOoAgBPrfU+9WtT7ALQrpa4opXwA/hXAuxdc824A3418/BSAQ2LeM65WvF+l1DGlVPRE1NcRPknHzLR8jwHgfwL4IoDZRBYXJ1ru+T8B+LpSahQAlFIDCa4x1rTcswLgjnycDaAngfXFnFLqOICRZS55N4DvqbDXAeSISMl63lOvoF7swNyFO8zfuEYpFQAwDiA/IdXFnpb7ne9RhP9GNrMV7znyT8INSqlfJ7KwONLyfd4KYKuIvCIir4vIfQmrLj603PPnAHxARLoA/AbA44kpTTer/fO+opgdbkuxISIfANAA4C69a4knEXEA+DKAD+lcSqK5EO7++AOE/9V0XETqlFJjulYVX48A+I5S6h9E5FYA3xeRnUqpkN6FmYVeLWotB+beuEZEXAj/k2k4IdXFnqYDgkXk3wH4LIAHlVJzCaotXla65ywAOwG8KCIdCPflHTX5gKKW73MXgKNKKb9S6iqAVoSD26y03POjAH4MAEqp1wCkIrwnhlVp+vO+GnoFtZYDc42/jcMAAAEYSURBVI8C+GDk44cAvKAiPfUmtOL9ikg9gG8gHNJm77cEVrhnpdS4UqpAKVWplKpEuF/+QaWUmc9w0/Jz/XOEW9MQkQKEu0KuJLLIGNNyz50ADgGAiOxAOKgHE1plYh0F8GeR2R8HAIwrpXrX9Yo6jpzej3Br4k0An4089jcI/2EFwt/MnwBoB3ASwCa9R3vjfL/PAegHcDby66jeNcf7nhdc+yJMPutD4/dZEO7yuQTgAoCH9a45AfdcA+AVhGeEnAVwj941r/N+nwTQC8CP8L+QHgXwGIDH5n2Pvx75/3EhFj/XXJlIRGRwXJlIRGRwDGoiIoNjUBMRGRyDmojI4BjUREQGx6AmIjI4BjURkcExqImIDO7/AzkE8UCpZnJbAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.36734693877551033\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.36\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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wmvLz01H1FXlo7hlBKMTrrsgeGNQ2YJWOj6itFXkYnQriyuCY2aUQJQSD2gZavdGOD2sEdfRmt5z+ILtgUNtAi8cHp0NQV5xtdilxsanMDadDeOEL2QaD2gZaPH7UWaDjIyozzYmbSnLY+UG2waC2gVaPzzLTHlG8lJzshEFtcROBIDoGxyyzkBhVX5GHnuEJXBudMrsUIsMxqC3uYp8fqql/6fhcXFAkO2FQW1x0j4+NFrjYZbatM3clZ1CT9TGoLe58rw9pTsH6ktTe42Ou4twMlLozGNRkCwxqizvf48OGUjfSnNb7UtdX8ma3ZA/W++mlG5zvHcHWcmtNe0TVV+Shzcu9qcn6GNQWNjg6Bc/IJLZUWDOod1TnYzqkXFAky2NQW9j53nCAbSnPM7kSY0T3oz51dcjkSoiMxaC2sPM94Y4Pq46oy/MyUerOwOnOYbNLITIUg9rCzveOoCgnHSW5GWaXYggRwY7qApzs5IiarI1BbWEXen3YUuGGiJhdimF2rc1He98ohscDZpdCZBgGtUUFQ4oLHp9l56ejovPUZzj9QRbGoLaojoFRTARC2GLR1ryoHVWRBUVOf5CFMagt6nxveCExeqm1VeVnp2FdcQ47P8jSGNQWdb5nBA4BNpRaazOm+eyszueImiyNQW1Rzb0+rC/JRWaaNW4WsJidawvgGZlE7/CE2aUQGYJBbVHne0csPz8dNXPhC0fVZFFLBrWIrBWRl0SkSUTOiciXE1EYrZxvIoCrg+O2Cer6ijy4HMJ5arIsVwzHTAP4T6r6loi4ARwXkRdUtcng2miFmiNXJG6rzDe5ksTITHNiS4UbJxnUZFFLjqhVtUdV34o89gFoBlBldGG0cme6wj3F26qs3fEx2y01a3Dy6hCmgyGzSyGKu2XNUYtIHYDdAI7M89xBEWkUkca+vr74VEcrcq5rGGV5GSh1Z5pdSsLsqV2DsangTFsikZXEHNQikgvgnwE8oqpv21dSVQ+paoOqNpSUlMSzRlqms93D2G6TaY+ohrpCAEDj5UGTKyGKv5iCWkTSEA7pJ1T1KWNLotUYnwqizevHtip7BXVVQRYq8jPR2HHN7FKI4i6Wrg8B8A8AmlX1O8aXRKvR3DuCkALbK+0zPx21p3YNjjOoyYJiGVHfBuATAO4WkZORP+8zuC5aobORhcTtNhtRA0BD7Rr0DE+ge2jc7FKI4mrJ9jxV/T0A6+6TaTFnu4ZRlJOOinz7LCRGzcxTd1zDgwVZJldDFD+8MtFiznaNYFtVvqX3oF7IlnI3stOdOM4FRbIYBrWFTE4H0eLx2XJ+GgBcTgd2rS3ggiJZDoPaQi70+jAdUlvOT0c11K5Bc88I/JPTZpdCFDcMags52xVub7dbD/Vs71hXiJCC3R9kKQxqCznTNYT8rDSsLbTvQtqe2jVIcwrevDhgdilEccOgtpATV4awa22BLRcSo7LTXdi1tgBvtjOoyToY1Bbhn5zGBY8PuyJ7M9vZgfVFONM5hJEJ3pmcrIFBbRGnO4egCuyuYVDvv6kIIQWOXWKbHlkDg9oiTlwJ78XMEXV4y9N0l4Pz1GQZDGqLOHFlCOtLclCQnW52KabLTHNiT80avMGgJotgUFuAquLk1SGOpmc5cFMRmntHMDQ2ZXYpRKvGoLaAzmvj6PdPYnfNGrNLSRoHbiqCKnC4nfPUlPoY1BZwInKvwN0cUc/YWV2ArDQn3rjYb3YpRKvGoLaAk1eGkJnmsM1dx2OR7nJg//pCvNLC28JR6mNQW0BjxyB2VBfA5eSXc7a7NpeiY2AMl/pHzS6FaFX4k53i/JPTONs1jP3rCs0uJem8a3MpAODlC16TKyFaHQZ1ijvecQ0hBfauKzK7lKRTU5SN9cU5ePkCpz8otTGoU9zRSwNwOQS31HIhcT53bi7B4fYBTASCZpdCtGIM6hR39NIgtlflIzt9ybuq2dJdm0sxOR3iJk2U0hjUKWwiEMSpq8PYx/npBe1bV4jMNAde4fQHpTAGdQo7eXUIU8EQ9jKoF5SZ5sRtNxXjt80eqKrZ5RCtCIM6hR1uH4AI0FDLoF7MfdvK0XltHOe6R8wuhWhFGNQp7Pet/bi5Kh/52Wlml5LU3lNfBqdD8NzZXrNLIVoRBnWK8k0EcOLqEN65sdjsUpJeYU469q0rxHPnGNSUmpYMahF5TES8InI2EQVRbN68OIBgSHH7hhKzS0kJ928vR5vXjzavz+xSiJYtlhH1DwDcb3AdtEyvtfYjO93J/ukY3VtfDgB4/pzH5EqIlm/JoFbVVwFwr8gk8/u2fuxfX4QMl9PsUlJCeX4mbqkpwK/P9JhdCtGyxW2OWkQOikijiDT29bFn1UhXB8MbDd2+gfPTy/H+HZU41z3C6Q9KOXELalU9pKoNqtpQUsJ5UyO9HNm6845NDOrl+Dc7K+AQ4OkTXWaXQrQs7PpIQS80eVBXlI2bSnLNLiWllLoz8c6NJXjmRDdCIV78QqmDQZ1ifBMBvHmxH/fUl0FEzC4n5Xzwlip0DY3j6GUuu1DqiKU978cA3gSwWUQ6ReSzxpdFC3m1pR+BoOKeSBcDLc899WXITnfiqbc6zS6FKGaxdH18TFUrVDVNVatV9R8SURjN74WmXhTmpGNPLW9kuxLZ6S48sKMCvzjVg5GJgNnlEMWEUx8pJBAM4cXzXty9pRROB6c9Vurh/bUYDwTx9FtcVKTUwKBOIW9cHMDIxDTurS8zu5SUtqO6ADdX5eOJIx3cUY9SAoM6hfzLyS7kZbpw52a2P67Ww/tr0OLx49jla2aXQrQkBnWKmAgE8fzZXrx3ewWvRoyDB3dWIS/Thcdfv2R2KURLYlCniN81ezE6FcRDuyrNLsUSstKd+MSBWjx3rhftfX6zyyFaFIM6RTz1VidK3RnYt553G4+XT9+6DmlOB/7+NY6qKbkxqFNA99A4XrrgxYf3VLPbI45K3Bn4yJ5q/PNbnfD6Jswuh2hBDOoU8NPGqwgp8LG9NWaXYjkH71iPYEjxvZcvml0K0YIY1EluOhjCk8eu4p0bi7G2MNvsciyntigHf9hQjScOX8HVwTGzyyGaF4M6yb3Q5EHP8AT+aB9H00b58rs3QQT4qxdazC6FaF4M6iSmqvi7V9tRU5jNvT0MVJ6fiU/fVoenT3bhbNew2eUQvQ2DOokdvTSIU1eH8Lk71nMR0WBfvGsDinIy8PWnzyDILVApyTCok9j/ffkiCnPS8ZE91WaXYnn5WWn4xgNbcapzGD86esXscohuwKBOUofbB/BKSx/+/R3rkZnGKxET4cGdlbhtQxH+/Dfn0XmNC4uUPBjUSUhV8e3fnEdFfiY+dWud2eXYhojgW3+wAwrgkZ+cxHQwZHZJRAAY1Enp2VPdOHl1CI+8ZyNH0wlWU5SN//6B7WjsuIa/ebHN7HKIADCok87Q2BT+7JdN2Lm2AB/es9bscmzpA7ur8MHdVfjui6147myP2eUQMaiTzf/4VTOujQXw7Q/ezE4PE/3PD96MndUFeOTJkzjdOWR2OWRzDOok8i8nu/Cz4534wp03YWtFntnl2FpmmhN//8kGFOVk4FOPHUVT94jZJZGNMaiTRIvHh//y1Bm8o24NHnnPRrPLIYQ3bfrR5/YhM82Jjz96GGc6eTEMmYNBnQS6h8bxqceOIifDhe9+bDdcTn5ZkkVtUQ5+cnA/ctJd+Mj338BvznDOmhKPiWCyzmtjePjRI/BPTOMHn9mLivwss0uiOWqLcvDMH9+G+oo8fOGJt/DNXzRhIhA0uyyyEQa1iU53DuFD33sD/f5JPP6Zd6C+kvPSyarEnYEfH9yPTx6oxWOvX8L7v/saXmnpM7sssgkGtQkCwRC+/8pFfOh7b8Apgp99/lY01BWaXRYtIcPlxDcf2o4f/ru9CAQVn3rsKD752FEcuzzIu5mTocSIb7CGhgZtbGyM++umumBI8UKTB3/x/Hlc7BvFvfVl+PMP70BBdrrZpdEyTU4H8Y9vduD/vNSGobEAtlfl4SN71uK928tRmpdpdnmUgkTkuKo2zPtcLEEtIvcD+GsATgCPquq3FzueQX2dquJc9wheaPLgqROduDo4jrqibHzjgXrcvaUUItbplX7mRBf+4vkL6B4aR2VBFr5y32Z8YHeV2WUZamxqGk+f6MIP3+jABY8PIsDutQXYt74Ie9cVYkdVPopyM8wuk1LAqoJaRJwAWgDcA6ATwDEAH1PVpoU+x05BHQopRqem4Z+cxsj4NHpHJtB1bRyd18ZwtnsEZzqHcG0sAIcAe9cV4pMH6nBvfZnlOjueOdGFrz11BuOzFtmy0pz41gdvtnxYR7V6fPjl6R682tqHM53DmI5sl1qYk44NpbmoKcxGWV4GyvMyUeLORH5WGtyZLuRmuJCb6UJOugvpLgcvdLKp1Qb1AQB/oqr3Rf7+NQBQ1W8t9DkrDeoH/uY1jE+Ff9B15h8z/4KqznocfU6vP551KtHzmn189LPDj+d+zqzXWez9Zn0sGFKMTc2/+u90CDaW5mJndQH21K3Bu7eUWnpkddu3X0TX0PjbPl5VkIXXv3q3CRWZa2xqGievDKG514c2rw+tHj+6hsbh9U0uud+1CJDmcMDlFLgcgnSXAy6HA9H8jv4WJnL9eIFc/3vkmJm4l+sfI2MVZqfjp58/sKLPXSyoXTF8fhWAq7P+3glg3zxvchDAQQCoqVnZbaM2lroxNR0C5nzDRR+H32f241nPzXyOzHPc9edmf3MDc77h5xy70PtFP+4QCY+GIiOi3AwXyvMzUVWQhVJ3huVGzYvpniekF/u41WWnu3DrhmLcuqH4ho8HQ4qB0Ul4Rybhmwj/JuafDMA/MQ3/ZBCBYAjTwRACIUVgOoTpkCIQDCEQDM0MMGYPOjDzsesDkxsHInrDoIeM5c6MJVKXL26vqqqHABwCwiPqlbzGX/3bXfEqhxKssiBr3hF1ZQH7wmdzOgSl7kyUurngSLGLZcjXBWD2Nm7VkY8RzfjKfZuRNWdL1qw0J75y32aTKiKyjlhG1McAbBSRdQgH9EcBfNzQqijlRBcM7db1QZQISwa1qk6LyH8A8DzC7XmPqeo5wyujlPOB3VUMZiIDxDRHraq/BvBrg2shIqJ52KctgYgoRTGoiYiSHIOaiCjJMaiJiJKcIbvniUgfgI4VfnoxgP44lpMKeM7WZ7fzBXjOy1WrqiXzPWFIUK+GiDQudL27VfGcrc9u5wvwnOOJUx9EREmOQU1ElOSSMagPmV2ACXjO1me38wV4znGTdHPURER0o2QcURMR0SwMaiKiJGdaUIvI/SJyQUTaROSr8zyfISJPRp4/IiJ1ia8yfmI43/8oIk0iclpEficitWbUGU9LnfOs4z4kIioiKd/KFcs5i8gfRr7W50TkR4muMd5i+N6uEZGXRORE5Pv7fWbUGS8i8piIeEXk7ALPi4h8N/Lf47SI3LLqN1XVhP9BeLvUiwDWA0gHcApA/Zxjvgjg7yKPPwrgSTNqTeD5vgtAduTxF1L5fGM958hxbgCvAjgMoMHsuhPwdd4I4ASANZG/l5pddwLO+RCAL0Qe1wO4bHbdqzznOwDcAuDsAs+/D8BvEL6L334AR1b7nmaNqPcCaFPVdlWdAvATAA/NOeYhAP8v8vjnAN4tqXt3ziXPV1VfUtWxyF8PI3wnnVQWy9cYAP4MwP8CMJHI4gwSyzl/DsDfquo1AFBVb4JrjLdYzlkB5EUe5wPoTmB9caeqrwIYXOSQhwD8UMMOAygQkYrVvKdZQT3fDXPn7jg/c4yqTgMYBlCUkOriL5bzne2zCP8fOZUtec6RXwnXquqvElmYgWL5Om8CsElEXheRwyJyf8KqM0Ys5/wnAB4WkU6E97X/UmJKM81yf96XZMwtc2nFRORhAA0A7jS7FiOJiAPAdwB82uRSEs2F8PTHXQj/1vSqiNysqkOmVmWsjwH4gar+pYgcAPCPIrJdVUNmF5YqzBpRx3LD3JljRMSF8K9MAwmpLv5iukGwiLwHwNcBPKiqkwmqzShLnbMbwHYAL4vIZYTn8p5N8QXFWL7OnQCeVdWAql4C0IJwcKeqWM75swB+CgCq+iaATIQ3L7KquN8Q3KygnrlhroikI+WbXNQAAAEaSURBVLxY+OycY54F8KnI4w8DeFEjM/UpaMnzFZHdAL6PcEin+rwlsMQ5q+qwqharap2q1iE8L/+gqjaaU25cxPJ9/QzCo2mISDHCUyHtiSwyzmI55ysA3g0AIrIV4aDuS2iVifUsgE9Guj/2AxhW1Z5VvaKJK6fvQ3g0cRHA1yMf+ybCP6xA+Iv5MwBtAI4CWG/2aq/B5/tbAB4AJyN/njW7ZqPPec6xLyPFuz5i/DoLwlM+TQDOAPio2TUn4JzrAbyOcEfISQD3ml3zKs/3xwB6AAQQ/g3pswA+D+Dzs77Gfxv573EmHt/XvISciCjJ8cpEIqIkx6AmIkpyDGoioiTHoCYiSnIMaiKiJMegJiJKcgxqIqIk9/8BQY4NsQae+nsAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.37254901960784315\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.36538461538461536\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.35849056603773577\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3518518518518519\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.34545454545454546\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3392857142857143\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.33333333333333337\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3448275862068966\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.35593220338983056\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3499999999999999\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.360655737704918\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.35483870967741926\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3492063492063492\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.34375000000000006\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.3384615384615385\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.33333333333333337\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.34328358208955234\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"0.338235294117647\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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gzgN4u6oGRcQD4Bci8pSqHje5NjKoLxCC2yVorCi0uhRDXC5Bq6+YnR9EBqUcUWtc8jvKk/jF5Xob6QuE0VBRAG+ec2ay2KJHZJyh72wRcYvISQCjAP5ZVV8ytyxaj56xELbXlFhdxrq0+UowODmL2YWo1aUQ2Z6hoFbVqKreBGArgMMicmDlMSJyVEQ6RKTD7/enu05ag6qiZyyE1hpnzE8ntflKoAp0j3FUTZTKun5WVtVJAM8BuH+V146paruqtvt8vnTVRyn4g/MIzkew3WFBvbMu/hNA1wiDmigVI10fPhGpSDwuBHAPgPNmF0bGJDeKdVpQb68phsct6ByetroUItsz0vWxBcC3RMSNeLB/X1V/Ym5ZZFTPmDOD2uN2YUdtKS4Mz1hdCpHtpQxqVT0F4FAGaqEN6BkLwZvnQoNDWvOW21NfiuPdAavLILI95/Rz0aq6/SG0VBfB7YC75q20u74UV6fmMBVet
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