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@mokemokechicken
Created September 2, 2016 03:21
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bayesian optimization sample
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from itertools import product\n",
"from sklearn.gaussian_process import GaussianProcess\n",
"\n",
"class BayesianOptimizer:\n",
" x_list = None\n",
" y_list = None\n",
" yielding_index = None\n",
" k_band = 5\n",
" verbose = False\n",
"\n",
" def __init__(self, params):\n",
" self.params = params\n",
" self.keys = []\n",
" self.values = []\n",
" for k, v in sorted(self.params.items()):\n",
" self.keys.append(k)\n",
" self.values.append(v)\n",
"\n",
" @property\n",
" def n_pattern(self):\n",
" return len(list(product(*self.values)))\n",
"\n",
" def output(self, *args, **kwargs):\n",
" if self.verbose:\n",
" print(*args, **kwargs)\n",
" \n",
" def supply_next_param(self, max_iter=None):\n",
" self.x_list = []\n",
" self.y_list = []\n",
" all_parameters = list(product(*self.values)) # [(0.01, [0, 0], 0, [10, 10]), (0.01, [0, 0], 0, [15, 15]), ...\n",
" index_space = [list(range(len(v))) for v in self.values] # [[0], [0, 1, 2], [0], [0, 1, 2]]\n",
" all_index_list = list(product(*index_space)) # [(0, 0, 0, 0), (0, 0, 0, 1), ...\n",
"\n",
" # examine 2 random points initially\n",
" idx = list(range(len(all_index_list)))\n",
" np.random.shuffle(idx)\n",
" searched_index_list = []\n",
" for index in idx[:2]:\n",
" param = self.to_param(all_parameters[index])\n",
" self.yielding_index = all_index_list[index]\n",
" searched_index_list.append(index)\n",
" yield param\n",
"\n",
" # Bayesian Optimization\n",
" max_iter = int(min(max_iter or max(np.sqrt(self.n_pattern)*4, 20), self.n_pattern)) # 最大探索回数を適当に計算。\n",
" for iteration in range(max_iter):\n",
" k = 1 + np.exp(-iteration / max_iter * 3) * self.k_band # kの値を徐々に減らして 探索重視 → 活用重視 にしてみる\n",
" gp = self.create_gp_and_fit(np.array(self.x_list), np.array(self.y_list))\n",
"\n",
" mean_array, mse_array = gp.predict(all_index_list, eval_MSE=True)\n",
" next_index, acq_array = self.acquisition(mean_array, mse_array, k, excludes=searched_index_list)\n",
"\n",
" self.output(\"--- Most Expected Predictions\")\n",
" for acq, ps in sorted(zip(acq_array, all_parameters), reverse=True)[:3]:\n",
" self.output(\"%.2f: %s\" % (acq, list(zip(self.keys, ps))))\n",
" self.output(\"--- Past Best Results\")\n",
" for acq, vs, ps in self.best_results(3):\n",
" self.output(\"%.2f: %s\" % (acq, list(zip(self.keys, vs))))\n",
"\n",
" if next_index in searched_index_list:\n",
" break\n",
" searched_index_list.append(next_index)\n",
" self.yielding_index = all_index_list[next_index]\n",
" yield self.to_param(all_parameters[next_index])\n",
"\n",
" @staticmethod\n",
" def create_gp_and_fit(x, y, max_try=100):\n",
" # この辺怪しい\n",
" theta0 = 0.1\n",
" for i in range(max_try+1):\n",
" try:\n",
" # gp = GaussianProcess(theta0=0.1, thetaL=.001, thetaU=theta_u)\n",
" gp = GaussianProcess(theta0=theta0)\n",
" gp.fit(x, y)\n",
" return gp\n",
" except Exception as e:\n",
" theta0 *= 10\n",
" if i == max_try:\n",
" print(theta0)\n",
" raise e\n",
" \n",
" def to_param(self, row):\n",
" return dict(zip(self.keys, row))\n",
"\n",
" def report(self, score):\n",
" self.x_list.append(self.yielding_index)\n",
" self.y_list.append(score)\n",
"\n",
" def best_results(self, n=5):\n",
" index_list = []\n",
" param_list = []\n",
" for xs in self.x_list:\n",
" values = [self.values[i][x] for i, x in enumerate(xs)]\n",
" index_list.append(values)\n",
" param_list.append(self.to_param(values))\n",
" return sorted(zip(self.y_list, index_list, param_list), reverse=True)[:n]\n",
"\n",
" @staticmethod\n",
" def acquisition(mean_array, mse_array, k, excludes=None):\n",
" excludes = excludes or []\n",
" values = mean_array + np.sqrt(mse_array) * k\n",
" for_argmax = np.copy(values)\n",
" for ex in excludes:\n",
" for_argmax[ex] = -np.Inf\n",
" return np.argmax(for_argmax), values\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# for testing on jupyter notebook\n",
"import os\n",
"\n",
"PRJ_ROOT = '/home/jovyan/work'\n",
"os.chdir(\"%s/notebooks/sandbox/\" % PRJ_ROOT)\n",
"\n",
"import numpy as np\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%matplotlib inline\n",
"\n",
"sns.set_style('whitegrid')\n",
"sns.set(font=['IPAPGothic'])\n",
"\n",
"%reload_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"z = np.linspace(0, 3.14)\n",
"z1 = np.expand_dims(z, axis=0)\n",
"z2 = np.expand_dims(z, axis=1)\n",
"value_space = np.sin((z1-1.5)*4) * np.cos(z2-0.2) + np.sin(z1+0.1) * np.cos((z2-1.5)*5) * 0.8\n",
"value_space *= 70\n",
"value_space += np.random.normal(size=value_space.shape)*10\n",
"\n",
"def unknown_function(ps):\n",
" return value_space[ps[0], ps[1]]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"f(row=3, col=29) = 133.318\n"
]
},
{
"data": {
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+ffrp/z9y5Eg1/CiKoijnhaSkJDzxxBP/8PeePXtG/cbNVvj6c889hyNHTg78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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a9681ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"space_size = value_space.shape\n",
"sns.heatmap(value_space, cmap='cubehelix', vmin=np.min(value_space)*1.5, vmax=np.max(value_space)*1.5)\n",
"max_i, max_v = np.argmax(value_space), np.max(value_space)\n",
"col, row = max_i % space_size[0], max_i // space_size[0]\n",
"sns.plt.plot(col, space_size[0] - row-1, 'ro')\n",
"print(\"f(row=%d, col=%d) = %.3f\" % (row, col, max_v))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot_heatmap(value_space, checked_points):\n",
" sns.heatmap(value_space, cmap='cubehelix', vmin=np.min(value_space)*1.5, vmax=np.max(value_space)*1.5)\n",
" \n",
" cp = np.array(checked_points)\n",
" rows = value_space.shape[0] - cp[:, 0] - 1\n",
" cols = cp[:, 1]\n",
" plt.plot(cols, rows, 'ro', markersize=5)\n",
" plt.plot(cols[-1], rows[-1], 'o', markersize=10)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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II4/A7XZj0aJFbdpYFrJb/fsp43NyGQfoPFCAz321MS7Z3sYAUjvUtJXdJkUV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\n1QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a6cb6828>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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QBCEYpaWl+OCDD/D73/8eb7zxBjIyMrBx40Y8+uijWLhwIQoLCzF69Gi89NJL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\nZ1AL816xAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a6b204e0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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hKNpfQYwml+wTTzwBAFAUBaWlpcjIoMN/v40LLTvvihs/JKcRhUcDgCTRrlW3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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a6adc2b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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wntYi1M07Wgl41Bw2bNhVn6WnpwMA1FAP/uvEnEoyIf3M5ZPm0e5t1GGZYRim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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a6aad128>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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405/+hMzMTKxduxavvPIK5s+f73dhZa7Lcy8Hlh73em8qPQG9vuuFD0Sj2wOQ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a498c668>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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1H2ZiPrEPxrIr01h8oXpqSc1R9z2pAYBLpZetE7g9RfNT5gsyYW0Svc7/OEX3\nH8S7zOl62l2aEE7nYZa66YtEop6+31wpCRy0ypWZr5eoAp0VCwBhdfS8jhbBvIVyOZ3BWpt2M729\nnJ2kVteHPq5Ci8TDomQP7VqVL2QLl6Wwu+njSq46S2rnYCO1Sohdw/kq/T3nC/Ydl0pr2XX0vhoi\n02duvWAeTb0fF7lZcGg5BYvmSr7PnQAwTKXnhK1RtGUCXyvcwmxG9+7dMWPGDEycOBF33nknkpKS\ncNNNN7VmbQGh+TCTmpTBAaqEYRimg6JK2v+CGM0XzIMHD+LDDz/E559/jn/961+ora3Fm2++2Zq1\nBYT8x5bBkXo9VFkHR+r1KHz4xUCXxDAM06FQFe1/wYzmLtns7GwkJyfDYrEAaEj++fRT3yHRHQln\nXBJyf70q0GUwDMMwQYbmC+akSZMwbdo0DB06FJIkIS4uDmvWrGnF0hiGYZgOSZCbd7SiuUu2uLgY\nqqpi37592L9/P/r06dM4cwnDMAzThVGu4S+I0dzCPH78OIYNG4aQkIZV3HXXXdi5cydGjRpFLpOg\nv8Hn86pKu84MxkRhHWoEPUZSFeQoGkpOkJonIp7U5MpcUqt30j8YDDKd6QkAhe5jpBaDnqS2XzpF\narmC2TDqBDfXK520C9SjiH9jifQTFfRnEKqnXZBF1Xp6g9G029Um0e7msap4169RaVdzCm0whlHw\nPYedNpCaFEInZYWepb9jf8jV9Gcg2qa9mg5yjzTQztsvnO+RWixo13K+H5esCLdgnzPK9DFQWqtt\nPxe5ZP1lLdcKZPoIAHSgj9diiT4GjCrtBG5TgvzCpxXNLcyMjAzs3bsXdrsdTqcT27Ztg8MhOJMw\nDMMwXQKe3qsZKSkpePTRR/Hzn/8cFosFgwYNgtEYoF8zDMMwTPDALUxvnE4nBgwYgPXr1+Ott95C\ndnY2xo0b15q1MQzDMEzQoLmF6fF48NZbb8FmsyE0NBQPPfQQEhPF9xt9YSgvReLH62EuzIM9IRn5\nP3oATmuM1rIYhgGgLytG/Ad/RHj+cdT0HgDbT+fCFUPfC2c6H5Hltbhl0xeItpWiLD4W+yeMQI21\nnWaV6qotzG3btmH27Nm44447Gp87duwYnnjiCdhsNlitVqxYsQJjx47VVEDSxxsQkX8akqIgIv80\nkv75N03rYRimifgP/ghT3veQFA9MuUcQ/7/LA10S087ctekEYgtKICsqYgtKMHzz3vbbeFfNko2N\njcVLL72JlNWwAAAgAElEQVSEzMzMxueefvpp/M///A8yMjKwfv16vPHGG1iwYIHfjRW5rsy9HFx4\n2uuxufAM9PruTU+IZrcHIFWfoTUjPfmu4qQzFuUKOte1vo52LJa6T5KaaLZ5ADgjcHTWqfSciTaB\nu7BAkOvqcNKOTdFcdpIfF2B1BT0bvWi9agStxZrpTNwCF70Ldw+hM2g/EeSaAsBE0E7pbPUQqQ1U\nR5Kaqy6P1Cpcp0ktxjiE1CTJ9/sPzz/u/fjMd3BWf+v1XJ3nArlek57uLTpQ/yGp6SSBS1o6T2rR\nfo7zg256v3MJ9qvqulBSqyyjM1hNFjr3OMLoJLUyt/iUahE4bAcKQvdTFNp9bZOqfD7f0+b9fLTt\nAmKkdpoyrqu2MIcNG4aoqKYvKzc3FxaLBRkZGQCAyZMn48svv9RcQHl8N6/HNYlpmtfFMEwDzY8j\ne0JyYAphAkZBvHf3a1V8+3XJS4r2v2Dmqk0/FRUViIuLa3ys1+uhCMb7+ePwhNFw9M5oyG7tnYHC\nHz+heV0MwzRQOOlnF48rGdVJfZD/owcCXRLTznyUmYKKxHgosoyKxHicyLy7/TbOwQUNxMbGorS0\ntPGx0+mEXi8YWO6HWmsEcn/mvzuXYZiW44ruhtzHnoPLXer/xUynpNwaisNZ9we6jE7FVbcwExMT\nUVtbi5ycHADAxx9/jFtuuaXVC2Oujdjyerz9t2zs/v1evP23bMRX0PdBGYZhWpWuavrZtm0btmzZ\nggsXmgwCjz32GKZOnYqKigqMGDECK1asaNMimavn0U0FyLA1JC8Nt1Xjpc9y8fMH+ge4KoZhugRK\nkF/5NNJil+y+ffsan+vXrx82bNiA3/zmN1i4cCEiImi32eWckXzP1J4kyJKtcuwXrjMydjypqfY8\nUnO5aFeqzhNOanYPPaO8Avp9hEri8U/RKu0u/UISZNRKvh2CaTbvmMIhZ6thusw1Wu/HzUdR5aA/\nGwBQnAK3o0K7Gesl2tFbVENr3WLpHM2jNXStceG0CxIAvtYXkdog0I7Fb5X/kFq6QmewRuvpHzOq\nYL86W0dvDwDMEu0UD9XR452POLeQml5w2vAIbkIdFzi6DX7Or8W19PHRK4x2tdcJ9vOEnnR39QUH\nvb38olhSs8b4dqxewijY78pU2tV9RKYdzfcog0itCiXCetqKYDfvaMXvWXPYsGFXPJeeng4AUIM9\n+K8LczrBhPT8povm0V7tNGCZYRimk14wNUfjMcHN2swkHEowwy0DhxLMWDqentWFYRimNZEUVfNf\nMKM5Go8Jbi5YjfjVf9FdgAzDMMzVwRdMhmEYpnUJ7oaiZlqcJXu5S/b48ePIyspCdnY2nn32WZw5\nQ8fTMQzDMF2Lztol6/eCecklGxPT5KhbvHgxli5din379mHmzJl47bXX2rRIhmEYpgOhqNr/ghhN\nLtnVq1fDYGgI73a73QgNpQOOL6evmn6V5QEu0JZxAPBUHqE1hbZwu1V6vTqJHiYTAjq0vBYOUnMK\nAtQBoESqJjWzINB6Vz39FRZX0u/D46aHf7gF61Rd4t9Yap04RJusx0WnRYV1pz/XC1X0ewwPoz9z\nsyAEGwA8gj6lHKmS1Aao9FCNY9IxUrO66DB4WfC7NkV35fF5OW7BMSCaLKBcogPvDSq9f3wPeliF\nU3AuLPAzzEk0DOqsIGDdIZiAwOXRtq9aouljtU6wHwNArWCbHh1tLU1T6f38tJRPamN0maTWlgR7\nS1Ermu5hXrpYbty4EVu3bsXy5Tx1EMMwDHMRHlbShMvlwnPPPQeHw4G//vWviI6mB0czDMMwTGdA\nUwtz0aJFmDhxIkaPHt3a9TAMw3QpelXUY8HWXAwqsiMn3oTVmYkosdJdyR2BLtsl2zxL1uFw4J//\n/Ce2bGmIztLpdBg6dChWrVrVtpUyDMN0QhZszcX1hQ33jPsVOPDYpgK8ktWx5wWWOmkK3FW7ZE0m\nEx5++GF89dVX2L9/P5566ikkJtKzszMMwzA0g4q8TW3Nc6A7JIqi/S+I0eSSffbZZwEAiqKgsLAQ\ngwbR4b+XUwvfzrv8un+Ry4jCowFAkmjXqlOhA7RdApdsvbOC1IrU06SmA+2A+17gZAMAs8h9K/i1\nZtHRgc1nFfr3UISZdk/WGuhaak5FkhoAIFLgPrULfp8Jaq2rCiO1iBjasWgyOEnteLmVrgWAPZJ2\ne/5QT3/PopDsDNVCanWCYHJR2Hm5RzwG+hzoY0C8HH3SNghc206Bu9ih0uH7LlX8210vcDVX2umg\ndF0IvZwxhD52ampp5+1gKx347xK8RwCIla/8fHLiw9GvoOnzPh1vggHe67GqdBZ0BGit0h2YMfKd\ntUtWc5bsmjVrcPvtt6O0tBR3392OM3kzDMN0It7OTMSxRBM8MnAi0YT/l5kU6JKumS4bXEAxbdo0\n7NixA6mpqVi8eHFr1sQwDNNlKLEasTQrDb+cPxT/nZWO0g5u+OnMXPUF0263Y+XKlVAUBZIk4brr\nrkN1Nd0txjAMw3QxumrST3OXrNlsRlhYGCZPngxFUZCdnY3PPvuszQtlGIZhOgaSGtzmHa1oypKd\nNm0a1q5dC6vViuuvvx7JycltWSPDMAzTgeis9zA1uWQBYMmSJZg+fTreeuutFm+sBr6dmf2M48hl\nKpzZwnXanadITQXtkKtQz5FapBRHar3l60jtW+U/pBYncLkBgE7w2yVMpru8ZYnewawRdB5otSB/\ns95O30ORY12kBgCqh3YJShX0r04lUluuZ3UJnbFZa6LfY88Y2ukIiLNmK6XW//UcDdq1Ww36+w+X\naOctACSqtOP5NHJITQf6e6yU6H3ALvhoDIJ91R+i3FeRE1YnC/Y5gaNV8dDH43lBXqw/l2ykkXZu\nDwW9L5sQTmo26TyppepvF9bTZgT58BCtaEr6+eyzz2AymXDjjTfij3/8Y2vXxDAMw3RgpDa+YK5a\ntQqff/45QkJCEBcXh6VLlyI/Px9LliyBy+WC1WrFq6++iogI+keIFq7a9HP+/HmsXr0ac+fObdVC\nGIZhGMYfOTk5+OKLL/C3v/0N7733HhISErB+/Xo8/fTTWLBgATZs2IBbb70Vb7zxRqtv+6ovmN98\n8w1CQkLwzDPPYMaMGTh58iRmzpwJm42enugSk1/5CLev+zdM5Z0gyYJhGIbxiaSqmv/8ERERAbvd\njrNnz6Kurg5FRUWIiIiAxWJBRkYGAGDy5Mn48ssvW/19XbVL9t5774WiKFi1ahXi4uLg8XgwYMAA\nxMfH+92YrKjoVnABIzbvx5dTbr326hmGYZigoy27ZLt3744ZM2Zg4sSJMBqNuP/++5GWloa4uCbv\niV6vh9IGNfi9YF5yye7bt6/xucLCQrzwwguaZyuJtZVpWo5hGIbpALThBfPgwYP48MMP8fnnnyM0\nNBSvv/46NmzY0NioAwCn0wm9XjyZtxY0uWRtNhvOnj2LlStXIioqCvPmzUNCQkKLN1ocH4Xqy7Iq\na10F5Gv1oHNEAbETNlQXQ2r1bjoTNto4lNTy6raTWjr6ktox6RipAYBNMFN9tMDpCEEGaY2TXs7t\nor/60Ig6UnPY/GTJCpDTaYegXk9rhlBaExFnprv+zYIMXsB35ucl7IJuox6CTOAy0PnFh6TvSW04\n6P14D/aQGgB4BI5ei0ofWyKXrEgbKtHr/I8gv9nhFJ/cRG7wIdH0D/AcB50zK3LemgVZy2ECB3Wk\nHyewyAv+veAcIPjIYRCs1e7KE9bTVrTlOMzs7GwkJyfDYmlwiI8YMQKffvopampqcPLkSaSnp+Pj\njz/GLbfc0urb1uSSTUtLw5AhQzBixAjs2bMHc+bMwYYNG/wup8gSiuOj8NUEemgGwzAM08Fpwxbm\npEmTsGjRItx3330ICwtDaGgoFi9ejKqqKrzwwguQZRlRUVF45ZVXWn3bmi6Yjz/+eOP/R44c2SLD\nDwC8M+8uLZtjGIZhGABAeHg4li1bdsXzvXr1alHD7VrQFL7+9ttv49y5hoH/R44cQa9evVq1KIZh\nGKbjIikezX/BzFW7ZAGgf//+uO++++B0OiHLMmbMmNGmRTJMsBNbXo9HNxUgzVaD/Hgz/pGZjHIr\nnTTEMJ0ZzpK9LEv28OHDmDdvHvbt24ddu3bhhz/8YZsWyTDBzqObCpBR4IBOUZFSUI37NuUFuiSG\nCRyKov0viNHkkt26dSumTp2KRx55BGazGQsWLGjRxpKR4vP5IuUEuYwR4l/potxXvcAlm6D0I7WT\ndVuE26QoBn0v16D6+agFLrgSiXaJ9tfRCxYKZpQXuQ7t1XRuZWRiBakBQI1g2bb40akXOBZ7Cpy3\nNoGDGAB66+hlzdKVvzPTbN6O3CSbHZ5mn7FFpTN671bp2xo9pN6kdloVu68TQS9rA+1OT1bpY6dU\nkG1bBtphnSjT+6reJA4zEblLTwpykY2CYwBu+piMDqXfR63AXdvTIM5aPi1wAw820LWek2jX7kCl\nO6m5BeeONqWrtjB9UVhYCFmWsXbtWkyZMgXz5s1r7boYpkORm+Adrn8mgR7OwDCdnc56D1PTBTMy\nMhL33nsvAGD06NEtdskyTGdlfWYScpLM8MgSTieZ8fdM370pDMN0XDQNK7n11luxdetWjB8/HocP\nH0bPnj1buy6G6VBcsBrxh6x0hAk7Dxmmi9BJu2Q1XTCfeeYZLFy4EOvXrwcALFq0qFWLCiTG8nLc\n8skXiLaVoiw+FvsnjECNVTyXJcMwTLBhLq/B4M0bEWk7i6r4njiReTfqrOL5U1sLSQ3urlWt+O2S\n3bZtG2bPnt2Yy2e32zFz5kyUlZVBkiQ4HA7MmTOnzQttL/ps+gSxBSWQFRWxBSUYvnlvoEtiGIa5\nakZvPoyoAhtkRUFUgQ19N21rv40rHu1/QUyLw9czMzMBAGazGe+++26j/vLLL2PMmDEt2lgYMTu8\nQ6UzFI1+smT1guzKOvdZUqtVKn0+by4s9HocbbuAGKnJwRihozNzZYl2QR51fUZqABAtcAMfV+m8\nWI8gurKPwHlYIHAWKmbazdjdj5uxQOAC7Gahv+c6gWMxXE+7B0VO2DSZ7h41GMTuwR4S/T48oD/0\n65VEUjsmFZFaKmh3cYVaTGqhoPc5fyRLdPaxXaXzWfNwgdTMoD+3aFXgeJdp5y0A2BT6MzcJnLCJ\ngn3nqENb97lVsL3j9WL39QAjvd+lgDaK6VT6mHRIvh29cbZyr8eRtiIUqDnC+lqNTtol67eFOWzY\nMERFRfnU8vLykJubizvuuKPVCwsUVfE9mj3m+7MMw3Q8iuO9Gygl8db227jq0f4XxGhyyV5i5cqV\nmD59emvVEhQcm/BDVCTGQ5FlVCTG40Tm3YEuiWEY5qr5V2Z/FCdGN0x6kRiN/0wYEuiSOjyaTD8A\nUFxcjOPHj2PkyJGtWU/AqbNacDjr/kCXwTAMc01UW8Pwf1O0zVl8zQT5vUitaL5gbty4ERMnTmzN\nWhiGYVqFXhX1eP7TPAwqsuNEvAl/ykzEeav2+73M1dHlXbKXh6/v2LEDb7/9Nj799FNkZWUhJ6ed\nbiQzDMO0gOc/zcP1hXaEKMCAAgd+sYmOAWTagE56D7PFLtl9+/Y1Prdo0SLs3LkTERER+Pe//43l\ny5fjz3/+s9+N1aq+nak9ZNqtd14RX4x7RvyI1Ny1Z0gtPJTeptt5ntQcbvrAM+uTSa1cspMaAGSo\nqaTWHbRj0Qk6u/Jb+RypyYKszOgwWjvixwXYI4p2wsaG0LXWCZyHoYLc25sk2ll4RKUdvUMF7moA\nSBXkc+oFTtBEmZ4cXREES8dISaRmkCNIzSNwUDfotCszLKQbqRW5ckltkCrIp5XoY8cOuhaLn1OR\nWab3gQwfu+TgIu/jra/NgSrF22k60ETns4rc5yJ/dYxenCU7QOCEPSfVktoghc7MDgV9TFrQPuMu\nm6MG+YVPK5pcspGRkcjOzgYA5OTkYNCgQW1THcMwjAbONMv2zY7nbN92pau2MH3x2muvYdq0adDr\n9ejTpw9WrFjR2nUxDMNo5n8zk/HTTXlIKrQjO96E/5lAt+AZpqVc9QWzuroazz33HNasWYPU1FRs\n2rQJTzzxhFeYAcMwTCApsxrxp6wMHPUEd4ul0xLkLUWtXPUF8/z581BVFcnJyQCAkSNH4s0332zt\nuhiGaSOM5eVI27QZETYbHAkpyL/3QTitsYEui+lMdNUL5rZt27Bly5ZGl2xqair69euH4cOHQ6fT\nQa/X49VXX23zQhmGaR3SNm1GZEGDec2cfwpJH29AzrSZAa6K6Ux0WdPPJZdsTEzTDOx79+7F1q1b\nsX//fjz++OM4dOhQmxbJMEzrYW42f62pkHbEMowmuqrpZ9iwYV6Py8rKEBYWhh49GjJXx44di2ee\neQazZs3SXESpQh+w3XX9hMuqbvFwDQrR0BGPStvNRUNHipz0zCaDpaHCevJwgtSiBNZwhyAIe4Qg\nCHwAaAv7ahe9zng/oeUZsmiXosOuo1V6UHkO6OEhFkFo/XDB9kRDHAAgCtGkFgp6ujeDznfuMgBk\nyLeQml5PD2OpqKN/kEZb7iI1AKio/NcVz1XH94KloGmSAXtCEjyK9/4Qhx7NF2ukp4UeyhVTtZ3U\nTqrfk5od5aQGAD0E4fRO0CfZITrBxAWCEP0S0MOc4iR6HxftxwBQQgSlN9SjjSqJPl/pVXoIVJsS\n5Bc+rVx1lmx0dDRqampw6tQpAMAnn3yCmhr6C2MYJrjIyRyPysQEqLKM6qRk5E2cHOiSGKZDoGlY\nyeuvv47FixcDAO655x707MkzejBMR6HeGoXvsv4LRpluDTPMtaCqdAu9I6PpginLMtasWQMAWLVq\nVeNcmQzDMAyjau5gDm5adMHcsmULysvLMWXKFMTFxSElJQVz585FcXExwsPDMWDAAPzgBz9ARAQd\n4cUwDMN0EbrqPczKykqsXr0aBw8exLp169CzZ09ERUVBURSsW7cOO3bswK233oo33nijPeplGIZh\nghxV9Wj+C2b8tjAtFgvef/99GAwNAb8ejwdGoxEWiwUZGRkAgMmTJ+Oee+7BggULhOs6B5vP5+OR\nQi7jry/c5SwiNVmmnXV1bno5oy6G1OrcxaTWy3gjqbnctPMUADJU2nlZrvj+3AAgXRpAanaVDm13\nCFyyvwpJILVSyXeA/iXOCQLPU1RtM75bJNoJ6xS4GQeqGYLl6PcPAD31w0gtJIp2PHuqaCeoLkRw\nzzCUDteOkmi3r6qI3b4WEz1frchh3l3fi9TOV24ltXCZdhfHqfRxJfoeAUCn0r/tRcHt+QIHqVng\nor5NpX0ZW3GW1HSSRGoAYNHoWo1HPKlVCI7zOojD+dsK1c/32VFpUZeswWCA0+nE8uXL4XK5kJ6e\njri4pgNcr9cLZ2JgGIZhmI5Oiy6YxcXFWLBgAaZOnYqbb74ZBQUFKC0tbdSdTif0+gCN92EYhmGC\nimDvWtWK3wum0+nE/PnzsWzZMnTv3jC4OjExEbW1tcjJyUFaWho+/vhj3HILPSib6fxEltfizk3H\n0MNWhfx4M/6RmYxyK92VyjBM56XLumR37dqF77//HuPHj4ckSTAYDHjooYfw2GOPYerUqaioqMCI\nESN4iq8uzp2bjiG+oOH+ZkpBNe7blIe/ZolTmhiG6Zx01hamX5fs9ddfj8TERHzzzTfYt28fJk2a\nhKioKPTr1w8bNmzA8OHDsXDhQh5S0sXpYavyepxk0xZZyDBMx0eBR/NfMKPJJRsaGor09HQAgKrS\neYzN6QXfk7gapDBymTA9nYfqD0lHu2QlF+2QE7lrwwWZn6KxR0YDvU4AuFC7g9SiZXry2xBBrXoP\n/bmaBVmpetDLRaq+HbsV8d0QU9DkIC6Jt6Kv6u381Al+n6UI3L5lxDYBoJucRmohgu8/RBb/wAsJ\n601qal0pqen0tBNUie5LavKFbHq5uMGkFlJxhtQAQA2j91dJpZ25cNJu6Fj5Jno5gWs3tp52JrtU\nF71OAB7BiVQBbThMUul9IAy07yJHol3t41XasaqoYvNjmUS7yEsk+vNxqNWkJnKu9xc4xduSzpr0\n06Is2Usu2SVLlqC+vh6TJ3P2JOPN4QmjcSGxOxRZwrnEaOyaQJ/kGYZhOiKaXLIM05xaawR2TxmL\nUtCtL4ZhugZd1vTjyyXLMAzDtA6W8lqM3XQCPW3VOJNgwt8zU1BuFU8TFuwoXdX0c7lL9oYbbsDo\n0aOxYsUKHD9+HFlZWcjOzsazzz6LM2fE91IYhmGYKxm76QQSCqqgU1T0ybdj8qaOP6G3Co/mv2BG\ns0t28eLFWLp0Kfbt24eZM2fitddea496GYZhOhU9bd6Gnt6FtDGoo8Au2WYu2dWrVzc+53a7ERrq\nf5B6NTGrukOlXV5V9SXCdcbo+pBavbOC1MJ13UhN1gkclKKuBoHm8dAuNwCIC6HHLOpDYkmt1lVA\nlyPY+WRBjqbIeRviMZAaAKRJA0nNDdpBadYn09t0067d0BD6NoHoe5T0FlIDAEWw30km2rWMEPo4\nkMtOkFpdMu08NZbR+cWqIZKuxR862iWq1J+nt6mK82spJME+J/v57W4C/V2GS/R3WUyccwDAKTg+\nklR6nQ6pjtRKIL7Y1UpXbvNMggl98puGYZ2Lj0R8s2xpF2gXcZhKH5NUfndbE+wXPq1odsleulhu\n3LgR77//Pp577rk2LZRhGKYz8vfMFJxOMsMjS7AlWvB5Jgd+BCuaXbIulwsvvvgiMjIy8Ne//rVN\ni2QYhumslFuNeDur3xWtyo5MZzX9aHbJLlq0CBMnTsTo0aPbtECGYRimYxHs5h2taMqSfeCBB/DP\nf/4TW7ZsAQDodDoMHToUq1atavOCGYZhGP9ElNfgts37EGcrR0m8Ff+ZMAR2q6ldtt1l72H6cslG\nR0fj4YcfxldffYX9+/fjqaeeQmKi9gg7hmEYpnW5ZfN36F5QBllR0b2gDDdu/rbdtu25hn/BjGaX\n7LPPPgsAUBQFhYWFGDRoUAs25tuVFynRmZZuP448t0LPqG4Np2eb97jorEiXs4jUDKHJpOaoOUJq\nJvNwUgMAZw3toCyt209qcRE/IDXFSb9Ht4d2EEsS7WaMEuRoNixL71JGgUuyzk07QY062iUsyv2V\njYKsVH9EpJKSJ9xKaoqRdvTqa+j3GFpaSGouC+0E1lfS6wQAVfBdSvVVpIbu9LGjq6Vd7a6KfaQW\naabX6bLTOaoAUKLSn08k6O95oNqf1A5IR0ktFLTztJtKfx/npO9IDQBuUtJJrQb0ueyURH/PccS9\nz+4272M81laOUknwnbciXbaFCdBZsmvWrMHtt9+O0tJS3H333W1aKMMwDNNyzsV7D405G38NQ5AY\nAC28YBYXF2PGjBm47bbb8NJLL0GSJADAtGnTsGPHDqSmpmLx4sVtWijDMAzTcnZMGIDCRAs8soTC\nRAu2Z9Kz5bQ2XTa4wJdL1m63491338X06dMhyzKuu+46HD58uM2LZRiGYVpGtTUcH2QNCci2g/3C\np5UWuWRPnz6NuXPnQlVVSJKEG2+8ESaTCZMnT4bZbIZOp8PChQv9bmzcK++iPL4bDk8YjVorTzjN\nMIFAX2pDwvuLEZ57GDW9B8D207lwxfQMdFlMJ0I0R2lHxm+X7O2334558+bB6XRCVVXExMTgZz/7\nGaZOnYp//OMfmDlzJnbv3o3k5GT/G1NUxBQUY/DmXa1RO8MwGkh4fzFMpw5CUjww5R5B/P8uD3RJ\nTCejy7pkKysrsXr16kan7KuvvoqNGzdiypQpsNvtWLlyJQYPvrrJgq2286hHUx6jXS0jX2vzk4U4\nALT7tLxmD12Dic7ulD20Y08KodM4TKahpAbBOgFAb+hFanFhtGNTddGORdHgYZ0gZ7XCmU1qJpnO\n4AUAnUy7REMEmbj5tdtJjV4KCBW4QFF3jpQkHV0nAECh3dmqma5I5FqtSaf3OdPpQ/T2ZLr15xY4\ndgFAdl6534Xneru5w898Dxi8x+dJpbSDVBWkuBhMtCtVlLUcJsfQywFIkejPoNBNf3aiE3Bvld6X\nq/1kwlJEQ5ypnS+dJbUy0OeIfip9ftATow8AwKXSGbRtSZdtYfoaVmI0NszVtmTJEkyfPr1Rayll\n8aJTIMMwbYmjj/cP3JoU/0PCGIa5hmElW7duhclkwo033ghVVVu0MUWWUJoYh/0TRlxT0QzDaKdw\nykuwpw2DKuvgSB0K20O/CXRJTCejrbtkt2zZgvvvvx8/+clP8Morr7Txu2lCU/h6SUkJ3nnnHaxd\nu/aqNvbxvPs1FckwTOvhik1A7uy/QHbT01QxzLXQll2yRUVFePPNN/HBBx/AZDLhqaeewvbt23HX\nXXe12TYv4beFeWlYycsvv9w4U8muXbsQEhKCZ555BjNmzMDJkycxc+ZM2GyBmXuNYQKNoaQAqcuz\nMODpW5C84pfQl/KxwHRd2rKF+dVXX2Hs2LEwmRruuz/wwAPYvp32QLQmfi+Yl4ev33DDDRg9ejTO\nnDmDyZMn49SpU6iurobH48GAAQMQHy+OTWOYzkrimudhPrmvwXl66hDi1y8JdEkMEzC0xxb4b5lW\nVFQgLq4pDjEuLg5lZbRxtDXx2yV7KXz9cpes1WpFYWEhXnjhhaua3ouaNbz7NWTJygKXZLlSQmoW\nF52lKspZrav7ntRCBLmmBjmK1ABAFrhL6+vzSE00QFi0zXpPKamJXMsWmXbsAkCdh3aJKoLv0irR\nP7b0Mu3olQVuX7ebfo8hsh+jmsB9rKuzX/Gc6dRBr8fhuUegVp3yei60gt531Ag6Y9RQnENqcGo/\nUbid50lNH96H1JR6+riqrT5AaoYQ2pVar9DHHAC4VNpBKgt+9+dKdEv/egwjtRr1GKnVChy0Oj9t\nENEF4QY1g9TOgnZ8i7bZDWJXe1vRll2yMTExKCxsyhYuLS1FbGz7GEk1uWRDQ0Nhs9mwadMmZGVl\n4Wml3HYAACAASURBVFe/+pXXG2CYrkZNSjPnaWJagCphmM7Nbbfdhs8//xw1NQ1h9R988AHuvPPO\ndtl2i0w/l1yyy5cvh8vlwuTJk1FZWYkhQ4ZgxIgR2LNnD+bMmYMNGza0db0ME5QUPvwiEt5b1JCe\nk5iGwh8/EeiSGCZgtKRrVStxcXGYPn06Hn74YRgMBgwfPrxdDD+ARpcsADz++OON+siRI9nww3Rp\nXLEJyP31KqCC7spjmK5CW14wASAzMxOZmZltug1faApfB4C3334bEydORI8ePXDkyBH06kUnUXQF\njOXlSNu8HubCfNgTkpA38ceot0YHuiyGYZh2xyN1zqSfFoWvX3LJSpIEg8GAhx56CMOGDcN9990H\np9MJWZYxY8aM9qg3aEnbtBmRBQUAgMj8PCR/8iGOP/KzAFfFMAzT/rR1CzNQaHLJRkVF4dtvv8W8\nefNw7733wu12o7hYPPM7AFyQfDsP9WoeuYzRTzZjrnKE1NJ1o0gtp34bqcVIdGuZyrw0N+uSjigs\nQJixyVGquMUuwGrnCVKLDKWjy+qdBaSmwk1qOslIaj1D6GzganceqQFApJ520TpcdK0iqj20oSzE\nQzs9I40DSM0p+NwAwCNw9IaU0Pu6JHBt60OT6Q3W0c5TVz1dq07gIAYAW/3XpBYuWUgtpIreZoSB\nnlfRqVSTWkX9GVrDBVIDxE7YKEHacJhKf1d6iXam2yU61CFR7U1qlWoVqQGAU3BMHpToc0Ciqq23\nyk2MTGhrOusFU7NLduvWrXC5XHjkkUcwa9asxkmluyr2hCSvxzVJ9DABhmEYpuOhKUv2Jz/5CQoL\nC6HT6bB27VpMmTIF8+bNa+tag5q8iT+GI7lfQz5ncj8U/nh6oEtiGIYJCB6omv+CGc0u2cjISNx7\n770AgNGjR2PBggVtV2UHoN4ajdyfvRjoMhiGYQJOl+2S9ZUlCwC33nortm7dCgA4fPgwevbkGdsZ\nhmGYLtzC9OWS/elPf4qTJ09i+/btePHFF+HxePiCyTAMwwDovC1MTS7Z2NhYrF+/vvE1L7/8MsaM\nGdOmhTIMwzAdg2BvKWrF7wXTl0vWaGwakpCXl4fc3NwW3cOsJSzOJkSSy9QJgo4b9HpSO+XZS2p6\n6EntglpEaopgiEPPWtpSf0I9TGoAkCZdR2rHaz8mtV4S7cYt8dBDbiJgJTVRoHuYYCgCAJQ4vyU1\nGfSQCxfoYRwFyCe1PqAzW4vrviE1awgdLg4AVYLvOVyiLf46iQ51z6/+X1KL19FDh/Q6OkRfUehQ\ncgCIFE1sIPjMQ3W+h08BwNn6/5CaWfDZGCUzqUWr9L4BAKdBB9DbJHpoUaxK76/H1YOkZhYMZ8uW\njpOaPyJVeoKGWsFxVyrR5xbqvAoARRAPZ/uRUGWaozlL9hIrV67E9OnsCGUYhmEa6LItTMC3S/bS\n88ePH8fIkSPbrECGYRimY9FlL5hUliwAbNy4ERMnTmyz4hiGYZiOh0fqohdMKkt28ODBePvtt5Ge\nno4vv/wSCxcuRFoazwHIMAzT1emyLczmLtnly5cjKioKixYtws6dOxEREYF///vfWL58Of785z+3\nR80MwzBMENNlL5jNXbJutxuhoaGIjIxEdnY2Ro4ciZycHAwaRLv8LtGdcKyJgpePSbRjFQCSVNrt\nWSiVkppB4NgsA+08vEHNILWz6mlSE4U5A0CZwJl7QeB0u6DSTmDRFDsGVRx2TSEKjwaAMNAuUb1g\nd6sTODZFFIOeh7WXlEJqh91fCNdrETi3C1Q6RFx0nuiGbqSW5zlAai4P7YIUucQBIEeiv+ceMJGa\n1U27UkUO8704Smr91ARSE4WrA0BP9CC1wwIH7UAkkdq3Eu3oTlHjSS1RpfeNC6AduwBQIzi3xIEO\ng7cI3LWxoB3NJyTaYc5cPZpdssOGDcO0adOg1+vRp08frFixoq1rZRiGYToAnbWF2aLw9eLiYsyY\nMQO33XYbXnrpJdjtdjz33HNYs2YN/vWvf2HSpEl44okn2rpWhmEYpgPguYa/YEZTluz58+ehqiqS\nk5MBACNHjmzRfJgMwzBM54ezZJu5ZPv374/hw4dDp9NBr9fj1VdfbY96GYZhmCDHE9zXPc34bWFe\ncsl+88032LdvH3784x/DYrFgz5492Lp1K/bv34/HH38chw4dao96GYZhmCCny7Ywfblk3W43wsLC\n0KNHg3Nt7NixeOaZZzBr1izhusolu8/nRa5Us8B1CQDhQmcZ7Wb7Rj5FaimC/MljUi6pUS5gANiP\nclIDgBKpRlAPnc9pk2gHrU7we8gu0c7LJMH7EOVWNqyXdm1aVPq7ypXp9yE6iIYo9Cw5BSrtnvyX\ndJbUACBD4Ey2CHJGj0uVpOZUz5HaSJV20NZKtIPY3/ehlS+kAlIbKsghzhUcy3Y5j9TiVTpnFgDS\nVNrx3ENwnNeA/j5Ex0eJwLmfI9E5w70ExyoARAs+O1ml6wmFkdRqQJ87wgSOZubqaZHp55JLdsmS\nJaivr8e0adNQU1ODU6caLjqffPIJamroL41hGIbpOnRW04/mLNnXX38dixcvBgDcc889PB8mwzAM\nAyD4L3xa0ZwlK8sy1qxZAwBYtWoVMjMz26xIhmEYpuPQZS+Yu3btwpEjRzB+/HgoigKz2YwHH3wQ\npaWl+PjjjyHLMmJiYvD3v/+9PeplAkhEeQ3Gbz6KnrZqnI2PwGeZfVFppe9LMkxbElZejUGbv0KU\n7TzOx0dh54RBsFvpRBym/eisF0y/9zCHDBmCKVOmYP/+/Th48CBGjBiB1NRU7N69G+vXr8e+ffsw\nbdo0vPHGG+1RLxNAbtv8PRIKqqBTVCQUVGHsphOBLonpwgza/BWiC4ohKyp6FJTj5s30hOlM++JR\ntf8FM35bmFarFbNnzwYAOBwOOBwOpKSkwGKxICOjIVd18uTJuOeee7BgwQLhuirhO09V5IQtI5a5\nhF2QNVsr0b9z7ILfQNsFOatJssB5KshDjffj9jUIfrtsFzg6UwTrtQjyckW5lTmyb0dvd5u3c7SX\nrRpm1du9t0cqIdc7XKKdfilK1FXXAwD/J3BzWiT6My32SKQGAGYdvd/VqvS+U6bS+b12wclgj0Rn\nkF6L1d4s+Az2qPTnKvrsalXamRst0aeUMJXeH0XuYgAowXdXPHeXzfsz62aruCJXtUrgknUKzgE6\nic5M7q12J7UKVJEaABgFbleRa7caDlLrA3qWqGqVXo65elrkkgWAOXPm4K677sKoUaPgcDgQFxfX\nqOn1eigKfaJgOgdnEryt/+fi6eEnDNPWFMR774/l8XHEK5n2prO6ZFt8wXzttdfw+eef48CBAzh9\n+jQuXGhqhTmdTuj1PN6ns/O/mckoSoyCIksoSozCjgkDAl0S04X5KDMFeYkRUGQJFxK74dsJNwa6\nJOYinfWC6bdL9tixYzh27BgmTZqEsLAwpKamoqamBjU1NTh58iTS09Px8ccf45ZbbmmPepkAUmY1\nYtOUGwJdBsMAAMqtoXgnqz9GqOmBLoVpRmftb/R7wUxJScGLL76I3/72twCA2NhYfPTRR7BarZg2\nbRoqKiowYsSIFk3vNX/ZbhTGm7EpMxUVVjothWEYhum4eFSxR6Cj4rdLtqamBqNHj8bBgwdx8OBB\nDBo0CDt37kS/fv2wYcMGDB8+HAsXLkRERITfjekUFb0LqpG5iY6lYxiGYTo2XbZL1pdLNj09HX36\n9AEAqOrVO/gSbN6Zss2dlpdzSBK7zlIErrOjCu3mixX8ABokcHMeUuis1FMCR6/Vzw8us0S/wC7o\n36iV6V3MoNJOvyPwnesLALcptAvwnJ/vQ0S+YNky0LXGC/aPc4LlagX7pq1WPH402URnoh5RaTe0\niIJ6+n2cl+kv+ZydzlkdaBVnFOe46f3KI3BR6yXBcR1Cx2CWCFzCQwXHqgF+XMuCTNRsKY/URPnO\nohzeBDWW1PSCWvR+Tqn1oM8fVtA5tCK3rwi7JB5lwFwdmlyyly6WWimMFwctMwzDMB0XRZU0/wUz\nmlyyH330kaaNeWQJZxIjsCkzVdPyDMMwTPDTZbtkfblkq6q0dcstmz9K03IMwzBMxyHYW4paaZFL\n9v3338e7776LsLAwdO/eHU8++WSjLgnuvTEMwzBdj2BvKWrFb5es0WhEUlIS9Ho9ampqYDKZoNfr\ncfz4cWRlZUFVVSxcuBBnzpxpj3oZhmGYIKez3sP028IsLy+H3W7Hhg0bAABPP/00tm/fjnXr1uF3\nv/sdEhMTsWPHDrz22mt+x2JSs3+XSLRj86xHfE23hNBON6cicJ4K8jltEu1kE1Hmpj9Oh8AFCQBV\ngmVvDqWdoDZBrqlZ8PWKskJtAkfeIVXsujML9vdcQQZpkiCDtEyQ0WsQmDlPCvJirUbxdyzKb+0h\n6FU56KQdlCWVkXQ9EfQxEKqnPzd/FAvcwAnhtNtVFrhkD7lExyTtvLUI3LUpqniWkVqBG1oncNh+\nK58jtSFKD1JTNA69DxU4gQHgpCAXuodKO7NFObMFyCO17qpVWA9zdWgaVtK3b1+sXr0aBkND8Lfb\n7UZoKAcRMAzDMF34HuYl5syZg127duHxxx/3GlayceNGbN26FcuX///2zj0uqmp//8+eYbjf1UQB\nRQFJDPNyxEsds46XUsxLdswCRTP9nlS0wsy+mvdKIY+pSGp+RSw1tdSfopRdtNTSNE9eAgVEgVFA\n5TYDA8PMrN8fHEYRPgsYhRlgvXvxyuFh7/WZNXvPvj3rWVENUqBAIBAImhb6WsbVNlVMHlZSXl6O\n+fPno7i4GFu2bIG7Oz3oViAQCAQtBwMz/ceSMXlYydKlSzFy5EgMGDCgMeoUCAQCQROhxd6SrSl8\n/euvv8bTTz+Nw4cPAwDkcjl69OiBTZs2NWy1AoFAILB4WuwBszJ8fffu3QAqXLKnTp1CaGgoZs6c\nCXt7e+zcuROpqam1NkbNcM5zJL4g58fopUJFam4yer1FHAdtMee2gK+cXi7Aml7upJZ/99uG46Ll\n5XPyElELJdpd2YbRxV7hZOK61LIfqDl9585xl2o5rkQlZ3LyIs6O2VlOL5fJ+fwBIKmc3jUKOJmw\npeW0S9bGhnb75ubSbkZre3q5Kwb+dlVSQpvxCjn1aDnudFeOa9dFTru2eWmoak6uKwBoJfqz9GQO\npObI2c55TtibUh6pPclod62slqdcT7E+pJaLLFKTc9zHt6Q7pNaak6UrqD8mu2Sff/55AIDBYEBW\nVhaCgoIatlKBQCAQNAma6xXmQ4Wvx8XFYdCgQbhz5w6GDh3aYEUKBAKBoOnQXIMLHip8PTw8HMeP\nH4evry+WLVvWYEUKBAKBoOnAmGTyjyVT6wEzOTnZeICsdMkqlUrExsbCYDBAkiR069YNKhX9LLGx\naZVfhre2p+CLj//EB9tT8Vi+ack9AoFAIKg/zfUK0ySX7P79+7Fnzx6MGzcOBoMBSUlJ+Pbbbxu8\n2Loy8VAG/DOKAQCBmcX4n0OZWBrmZ+aqBAKBoGVg6Qc+U6n1CrPSJXv+/HmcP38eQUFBOHHiBMLD\nwxEfHw83Nzf07NkTPj4+jVBu3eicVVzldRdlMfGXAoFAIHjUNNdbsia5ZP39/QEAK1aswPTp07Fh\nw4Y6NZaKmg9cnpzA4nROMDsAZNcQDZHs6YBumffautDeCde0Ve3lrTmh7VmltBX/jpVpE9fIOUNn\nAP6wEs5oFXhI9DAGDWeSndsSPaTAnXMe5cH44dJ/SXSANO9zvmigh7JwRvKgl4zehE+U033qzhn+\nAAD5jO4DZ2u67/Lu0gHrru70YwtHV/qkTssJdJfXEurP+wK6edeV1Fyc6HrsOcH1JZxhLp043zbW\nnP4GgEJO+Do1XA0A2nPCxztJgaSWxVJILRP0zEyt0YrUasNbepzUslkaqfGC2UshHkc9Skx2ySYm\nJsLBwQH9+vUDY5aVZ7R+hDcueztAJ5Pwh5cTlj7vY+6SBAKBoMVgjmeYx48fxyuvvIKwsDCEhYUZ\nswFUKhUiIiLwyiuvYPz48UhOTja5jTqHr0dHR0Oj0WDu3LnQ6XT44YcfEB8fb3LDDUmOmw0Whvoh\nq5x3bSYQCASChsAct1aXLl2K/fv3w8nJCT///DOio6Px2WefYdWqVejbty9ee+01XLlyBe+99x72\n7dtnUhsmuWT1ej2srKzwzjvvYMaMGUhJScHMmTOhVCpNKkIgaOq0LyjDhl3JyNjxLb45ehodVPTc\njwJBY+CUr8HzX5zGxJXf4vkvTsMxv/G2SXNcYTo7OyMpKQkAkJqaiieeeAJAxZXnyy+/DAAICAiA\no6MjMjMzTWrDJJfsvn374OHhgU2bNqFNmzbQ6/UIDAyEp6enSUUIBE2dBYnp6JlV8by9f24+1vx2\nEWOH9DVzVYKWzHOHkuCRWQAA8MjMx9MJF5EY2jjbZENeYX7//ffYtm0bpPuiNrt27Yro6GiEh4dD\noVCgc+fOWLduHYCKNLrKuZuBimNYXl4evL296922SVmyJ0+eRFZWFhYuXChmKxEIAATdrGqS+dvt\nAjNVIhBU0FZZNb33MWXjbZOslqzmh2Hw4MEYPHhwld+pVCq8/vrriIuLg6+vLw4dOoRp06Zh+/bt\nsLGxQXl5ORSKCvPcnTt30KqVaeYsk12yP/30E27duoXY2Fi4urpi3rx58PLy4q5rKOtc4+9Py2jX\nGS94uzZ6WtNO2L909N3o1hwXYJ6Wfi7KC6Uur+WMy8NE9+1tRrdpzQk7l3MmePVjTpzl+HfxA2px\nA1N04rhdeeH8fxno99+Bs3VrainTRU67Mu/WELD+ZztH9Fbec8Geb+cEJ47ztT5Yc7ZjdQkvfh9w\ndaZd5nac7VVXS6g7RTdun9Odrpbo/gYAT0a/T0eO+zqf47J3YvRtOVvQTvk2aEdqNhJ/sogyRtdz\nHMdJzR32pObAaq71tqcbPDLvhchne7pAw3HHN2Vyc3PBGDMObwwODsbatWsBAM8++yy+/vprvPLK\nK0hLS0NxcXGtxyqKOpt+IiMjcerUKUydOhWdO3eGn58fnnzySfTp0wdnzpxBZGQkdu3aZVIRAkFT\nZ/GwTlj8bTq631LjvIcT5j/XxdwlCVo4p0Z0R7+E/6CtshA5ni74MaRro7Xd2KYfX19fDB48GGPH\njoWTkxN0Op3xMWJERATmzZuH/fv3Q5IkfPjhhya3Y5JL1t3dHVOnTjVqwcHBwvAjaNEoXW3xxviu\nUHOm/hIIGhO1mz0OhPUyS9vmcMlOnz4d06dPr/Z7Z2dnxMbGPpI2THLJFhUVYfPmzcjOzgYAXLx4\nEe3bt38kBQkEAoGgacMMksk/lozJWbLnz5/H2LFjodVqIZPJMGPGjAYvViAQCASWj6VH3JmKSS7Z\nEydOIC0tDfPmzcOoUaOg0+mQk5PT4MUKBAKBwPKx9CtFUzHZJRsTE4NJkyZh4sSJcHR0xIIFC2pt\n7Kwso8bftyFcXgDQSeKn9XzL8kntJseV58dxpeZxHJRlVrSbj+d0La7Flanl6NacbY/nrR1ooG+T\ne4Ieg3RJSiI1O8b/PFwk2tXMW1bOyRLVg16nBye79j+gHYmltZwB95XTu0aijv6w+rgU0fWoHUjN\nluNY1XMcq23cGmaogIKTtctzfGs5jmZHiX4fnozuGwBw5HxH5Em0G7k/+pFaGWf7cJJ5kFopKyS1\nW+waqQFAG4l2Z/qwNqR2R6Lb9GL0fn4V9L4sqD8mZ8lmZWVBJpMhPj4eoaGhmDdvXkPWKRAIBIKm\nApNM/7Fg6nzAjI6Oxg8//IA//vgD+/btg7OzM0aNGgUAGDBggHDJCgQCgQAAwAym/1gyJrlkVSoV\nBg4ciMTERADAhQsX0K4dPZhXIBAIBC2HFjsfZk0u2Z07d2LWrFk4evQoPvjgA+j1enHAFAgEAgKH\nfDV6J5xFK2Ueijzb4WrIUJS6uZi7rIajpZp+anLJnjt3Djt37jT+zfLly/HUU081XJUCgUDQhOmd\ncBZtMu8AAFwzlehy6DtcCHvZzFU1HJZ+pWgqJrtkK7l+/TrS09Pr5JLVEm7HM4yXuWl6Hqe3jP7Q\nThTTrrv+9qWklifRLkCefzRA4ifAaCTalajmeGH7cZywPOScanujD6kZOHUCgJrlkZqbRM9mw3Me\nFoPWXBk9ZZGGk0/qLuNnsJ4A7b7uxPmgizhuZ7mMfkAj42xXWh29m+YW892lga60i7aU476159Qq\n57Tnx5xJTcvZjm+DdjsDQAfQrtWu6EG3yej1trGhU3B0errf3K0DSM25vGONv2+t/KbKaxflLTjI\nHqu6Xj3t2tVyMqNdJbpvXJBGaoL6Y7JLtpLY2Nga44gEAoFAUEGxV6cqr9VeHcxUSSNheIgfC8Yk\nl2ylCSgnJwdXrlxBcHBwgxUoEAgETZ2MUa9A3cEXTCaDqoMPro8cZ+6SGhaDZPqPBVPrLdnk5GQk\nJydj9OjRVbJkAWDPnj0YOXJkgxcpEAgETRmtW2ukhs+E3sC/9dxc4GTGNGlMzpI9fvw4Nm/eDH9/\nfxw7dgyLFi2Cn58fd12ffHQe6V6O2BnSAXfdxKwOAOCWX4rRh9LhrVThhpcjdof4IE/0jUAgaMpY\n+JWiqdR6S7bSJXv+/HmcP38eQUFB+OWXX7B06VKcOHECe/fuxRtvvIGoqKhaG5MbAL8MNSYcqjki\nryUy+lA6fDJVkBuAzhlq/PPQdXOXJBAIBA9HM32GaZJLtkuXLnB2dkZSUhKCg4ORmpqKoKCgOjfa\nKasYbdi9qyg7Ge1mdGT8Es9xXHBqzn2BIQ70zOO/lClI7R829Do9GD3b+reGmjNGFypVVV53zCqu\nlq3bi7Um18vLmOzGAkmNNzO8it0mtTZWj5MaALjJnyA1vUFFaqA3AbSyfpLUynS5pOaqb0Vq2lpc\nmXmcjFo7id4m0zm5pg729DqvaWnrbUdnOp+2UM/zrAIqjs7LU/bguKjzJNqxyYmSRWfWlm5Pqtld\nWkk2bpCao8KH1GRyJ1qzobNbdWraJasvv0tqBkZ/rwCAlrMP6EAv6wR6f/0DZ0jttkQ7/gX1p84T\nSEdGRuLUqVOYOnUqOnfujOjoaISHh0OhUKBz585Yt25dnRvN8qQ//JZGkqcDgjLvfcne9KR3cIFA\nIGgStNRxmJVER0dDo9Fg7ty5kMvlSEhIQFxcHHx9fXHo0CFMmzYN27dv565DL5OQ5emIQyG+D114\nc+HfIzrgrYQMBCpLcNPTCUdC/GtfSCAQCCwZC7+1aiomuWTLysrAGIOPjw8AIDg4GGvXrq21sY/f\n6/vQBTc3sl1tMO81fzwr4w9AFwgEgiZDSz1gdurUCTt27MD27dthZ2eHtm3bYsWKFWCMYezYsXBy\ncoJOpzO6aAUCgUDQwmmmB8xaXbI2Njbo0KEDFAoFSkpK4ODgAIVCgd69e8POzg46nQ7t27dHr150\nzJRAIBAIWhDsIX4smFqvMPPz86FWq7Fr1y4AFeHrR48exZo1axAXFwcPDw98/vnn2LhxIyIiIrjr\nypNqdoEVMtqtp5X4pyqBHDff7wbazecop9fbzZquJ5vzgdqhjNR85fyH4HmcZR1BO+v6yv5BamUG\n2ulnZ/UYqTnJ6axMyaULqQGAwYrO6LUy0P3qkPcHqck4Obx21j6kdldzjdRaSfxoskGgHZRncY7U\n5KA/Zw+J1jrY0NujHaPf/y88xyqAzpzt3A/0Y4AMic7ofcrgRWoK0A7zjrJu9HIyvtmtK8d9zTgZ\ntZIVbTA0lGaTmsxnLKlZZf9JanIdnQcLANbW3qTGNPT7yGP0fMN6zuWcNatzmJugDtTamzUNK2nT\npg3s7Ozg4VER+jts2DCcOHGiYSsVCAQCQdOgmUbjmRS+3rt3b5SUlCAtrSIJ/+DBgygpoc9IBQKB\nQNCCMDDTfywYk4aVuLu7Y/Xq1Vi2bBkA4IUXXhATSAsEAoEAAFDLk7Qmi8nh6zKZDHFxcQCATZs2\nISQkpKFrFQgEzRCb/Hz4HvoSjlk3oPbqiBsvvgytG53SJGgCWPaFosnUa1hJXl4eysrK8OOPP2Ll\nypU4cOAAZDIZWrVqhb179zZGvQKBoJnR+dBBOGVU5Es7ZaSj4//bg5RJ/2PmqgQPRUu9wrSxscHS\npUtx6dIl7NixA1lZWbC1tcXp06exc+dOBAQEYOfOnfj000+xYMEC7rqoXFhriX6UWsgLGQWg58xU\nb83R8jhnQAEwbbYQLWcr6W2gczQBvtPNX6IzYe3tafegvY073Z4qmdQkJzqJyaCwJzUAkJVxsjKd\naWcucxpMr1OVRzeYf5mUvB1HkBovDxQAirRXSS2b4yDlfc6pEt2mHejMV0eOE/xvnDxYANBzXLu8\nq4CBBjrb1UuiZyUqYLTztNBQs+aYlfnA6xuwesA1K7OmrzgNWrpfJbkdqYHjoIWM/k5iejoTWFK4\n0OusBRuZK6k5ctq0xi1S84SI2nyU1Mn0U1ZWho8//hiRkZEAgPT0dLi4uCAgoGL4wbhx43Ds2LEG\nK1IgEDRfCjyrnmQUe3c2UyWCR0Yzna2kTgfMVatWYdKkSXB3dwdjDIWFhWjT5t44NYVCAYPBwt+p\nQCCwSC6PGAh1Rz8wmQzqjn7IGjXR3CUJHpaW6pI9ceIEioqKMGTIEOPvWrVqhTt37hhfa7VaKBT0\ngGWBQCCg0Lg541r42+YuQ/AIabEu2WPHjiEvLw8zZ84EYwwpKSlYu3YtNBoNUlJS4O/vjwMHDuDv\nf/97Y9QrEAgEAkuHMxdxU6bWA+b9Rp6YmBicPn0aUVFROHjwIMLDw1FQUIA+ffrUaz5MgUAgEDRj\nmukVZp2Tfi5dugSlUonAwArH5uOPP45du3ahd+/eWLRoEZychBtLIBAIBM2XOiX9VLpk165di9mz\nZwMA/P0rJjpmj+DS+089PXSktnkiz4EOO+4n0ZbydNA27VROEHoP0FZ0R85wlNsSPdwCALoxECXZ\nzQAAIABJREFUeiiHAvT74Fnq5RxLvaEjPYyDZ+Aq7kgPDQEAeQn9WcrL6KBwm7t3SI3J6CEX5Z0G\n0eu8k0lqcjv+MB+bvFxSG6b/G72cRG8frTlDLi5J6aTmxuh16msZIa7lBJPbcXZ/Xoj6FXaR1IJk\n/UlNzgnRh0R/xgDAOKHmvCEn2tb0fiXX0PukVRG9PYIzWQTsaxk+lv8fUuNNlpCPHFLzZHSb56Q0\nbj0NhWTh5h1TqdMB836XrMSZcUEgEAgEghb7DPNBl+yjuKIUCAQCQTOmpV5h1uSSnTt3LqKiohqj\nPoFAIBCYgH2+GpMTkuCtVCPT0xH7Qzoh342er/ZR0lxvydZq+lmwYAG2bNmC9evXIzAwEDqdDlFR\nUbhy5QrCwsKQlJSEd999Fzdu3GiMegUCgUBQB3ok/AafTBXkBgafTBVGH6Kfkz9yGDP9x4Ix2SW7\ndOlSfPjhhzh79ixmzpyJ6OjoBitSIBAIBPXDXVnVuOStpI1Tgrphskt269atsLauCIXW6XSwta39\nUt8dNf9NLxl9VsFz+QHgeFaBc4x2wrpzvEtPg3bd3UYxqbVldPByN6k73SAAPbSk5mQTQC+n57hv\nHT1IqdyRdh9bldD9xnPBAoDOhXZX6jjOy3InT7qeYrpvbO5ygtk1tLOwNlemxkC7j13ldDB5hp52\nQZaDdgkHMC9SO8dx0HZibqQGAEqpkNS8GSecn7Pf+aATqamIgHUAkHNC5FtZ8d3Xkj29fegd6WXl\npfT+yqzoegy29P4hL6KXg66U1gDIrelapXLa1e2K1qR2XqrZtXzT0wlemUXG10pPJ64z+pHSUm/J\nAjW7ZCsPlnv27MGOHTswf/78hqtSIBAIBPXi25AuyPB2hl4mIcPbGQkh9CwzjxyRJVvVJVteXo4P\nPvgAAQEB2LJlS8NWKRAIBIJ6Uehmhx1h9PR/DYlk4c8iTcVkl6ytrS1GjhyJAQMGNEadgiaMzc10\ndPn4TThdOg3VE31x9b0NKGtP39YTCMyJ9e1MeG3/AA5p51Hs2xOZkz+Cto23uctqWlj4laKpmJQl\nu2TJEvTr1w+HDx8GAMjlcvTo0QObNm1quEoFTZYuH78Jlz9PAgBc/jyJLh+/iYtrj5i5KoGgZrzi\nF8Ix5SwAwPHq7/DeOh9p735h5qqaGKx5hsnW+Qnw/S5Ze3t7hIaGYubMmbC3t8fOnTuRmprakHUK\nmjBOl05zXwsEloRD2n8eeH3eTJUILA2TXbLvvvsugIrc0aysLAQFBdW6Hir3Ui/Rl+9XOE5XAHCX\naN+SnhOZz1trIqMdkh1kdHt2oB2JxbjAaRHoJaNvbZdoaZekg2NvUmN607Jb1T60I5Ep+D4xqbz6\nZ6nq1hcuF07eW3+Xv8Emu6p7sdyFdlnzMmj1tnRertbvKVKzy8kiNQBw1LSj65HsSU2hp53ANoRL\nHABSpOuk1oaTJVwo8fcPOWg7uBtol2w+aPexhpPf7GnVk9SsbejbmnodnaMKAMyantxBXlpEauUu\ndM6qvKRmh3lx5yfhmHru3mu/XmDy+74qnel8WoMVJy8XgL7oT1LLZ0pSs+FsAxqO+1prrmlDmukt\nWZNdsgAQFxeHQYMG4c6dOxg6dGiDFSlo2qRExqCw+1MwyK1Q1LUfrv9rjblLEghIssKWQB0QDCa3\ngjogGBlTVpq7pKYHM5j+Y8E8VJZseHg4Jk2ahM2bN2PZsmX46KOPGq5SQZOlrH0nXFp9GNZ3S8xd\nikBQK+WtvZD63k5zl9Gkaa7ReCa5ZGfNmoVu3bph2rRpkMlk6NatGy5c4N9yFDR9bG5dh9+/Z8Lp\n8mmouvVFytwYo9vV5mY6/KNm3NMiH9CiKzR1l7/h+r/WoKwtPfhfIBBUYJevQveEU3BT3kahZ1v8\nNWIQSt2czV1W7Vj4laKpmJQlu27dOtja2mLcuHEYPXo0pkyZgsjIyMaoV2BG/FbPgMuFk5DpdXC5\ncBL+UTOMmn/UA1r0fVr0Pc056Tf4xM4xR/kCQZOje8IptMrMgcxggFvmLQQmHDN3SXWjmQYXmJwl\nGx4ejvj4eLi5uaFnz57w8fFpqBoFFoLTX2eqvr58usZ/16Y5Xj3bANUJBM0PN2XVicxdlJy4R0GD\nY7JLFgBWrFiB6dOnY8OGDXVqLA/8nMWauGPgT1jtzokEVXNOVgoM9LnC36zolaYaaEeaXEY/o/u7\ngXZdAkA5x7d7k10jtUAtHQAgGegMVrltG85y7Wv8vbprMJwvnaryWqbR16gVPdkX+lYy479d/zhZ\nZTmdQ1U3od6V3hTlt8pITetMpwlbFdN9KivJJTUAsFbU3AcAkFd6jtSsOW5GOTjblURnAvfhbDs5\nnKxYAFBLdPbvd0QGKQA8Z3ic1GSc91Goo2ctopOWASu5K0cFDNZ0v0ocZzIvM7nMlXbeOmTQznTG\nqUV2N4nUAEBmTW9XnjV8HZd4nYJjxr0he0WeHtX634fRObOZEidruSFpqbdkgZpdsomJiXBwcEC/\nfv3EpNIthNS31qPoiQEVbtcnBiB1zvp72pz/alZWKOj1FK4uiTVqV5fEoqDXUzUuJxAIaDJHvQZ1\nBz8YZDIUeLdH0ohnzV1S3TCDS/bixYtYunQp+vXrh/T0qic827dvx6RJkzBlyhSsXr3a+PvVq1fj\nn//8J8aMGYODBw/W2oZJLtnbt29j69atiI+Pr+97EjRhytr54PLHh2rWPCq0cs/qZ/ulXp1wYUsi\nFEr66lwgEFRH69YaaeGzkVfOv3K1NJgZnkXa2tpi8uTJ1UJ0zp49iytXrmDbtm0AgIyMDADAwYMH\ncePGDezevRtqtRrjx49H//790bo1fcVe6xXm/S7ZGTNmICUlBYMGDYKVlRXeeecd4+9mzpwJpZIe\neCsQCASCFoIZrjD9/f3h7e1d7Y7nwYMH4evrizfeeANhYWG4efMmgIpj2/jx4wEAjo6OeP7553H8\n+HFuGyZlyV6+fBn79u3Dpk2b0KZNG+j1egQGBsLTk06IedR4FJThrYQMBCqLke7liJ0hHXDXjZ+y\nIXg4bG5VDCtxTDoDdddgpM5ZjzIPnwot+zr81syEY/IZFHXvi6tLYlHqVfF81TYrHV0W/QvOf56u\ntpwAsM0vQsThFHTOUuOalyO+FNuyEUXebXgd2AqHzGso9u2BrInLRBB6U6ABn2F+//332LZtW5UQ\nna5du5JTTN66dQuMMWzatAm5ubmYOHEi9u7di4KCgipXk61bt8bdu3TKG2BiliwAZGVlYeHChWab\nreSthAwEZVbEq/llqDHhUAbWh/mbpZaWgt+/ZxqNPc6XTsFvzUzjLVq/Nfc01z9Oosuif+HClkQA\nQJdF/zKafh5cTgAEJhyDW2ZF3Jx/hhqvHcrAWrEtAwC8DmyF442rAADHlLPwil+Ia+/EmbcogVkZ\nPHgwBg8eXOe/d3JywogRIyBJEtq2bYuAgADcuHGj2gHyzp07tV701dslO2dOxRg6pVKJW7duITY2\nFq6urpg3bx68vOhZ4wHAjnDXpXPyYtsSN427KqtmkfpkqZFmqHpWQyd3Are19KzphVa0K1POMe12\nYrTrrgB03iUA0ImXgD3o7FLJpQup6ezdSM1gQ/eOrLzms0PHpAeGlSSdgXWB2vjv+3H+8zRsrmuM\n/35wPVaaBxy8dLQtVF3oWepts+hcU5ssOjRbr+WfSWrKM0mtlNFtFoBerwI1uzldlNlVXnfOKoYn\nu+fELJJo93UqikkNANw5u7gLo92lx2VXSG0UG0hqPAetSk/n97Z26Frj7x0y06q+TjsPWW7Vz5W5\ndyPXyxvXV20bvH8xG9pdK+lp57FkRbu2AYBZ0Q7b/OITpFYOulaeU1pZS9Zwg2FouCvM+jJo0CAk\nJiaib9++KCwsRFpaGjp27IjnnnsOe/fuRf/+/aHRaHD06FH83//9H3dd9XbJVuLn54cxY8Zg+/bt\nCAsLa/TgglTPqht0sie9gQseDerH+1R97d+7xn8DgDqgT43/BirC1wX3yPOsajJQetInXi2Nko5V\nD6Ql3n5mqkRQHxgzmPzzsNx/qxYAQkJC4OTkhNDQUEydOhVvv/02nJycMGzYMDz22GN46aWXMHHi\nREyfPp1r+AEeIkt26tSpxr8JDg5udMPP/4V4Y8qhTPgpi5Hs6YA1I8RzjYbmWsQ6+P57BhxTzkHt\n3xvXp0UbtevTouGzKRIOKeegDuiDa7M+vbfcrE/Red1sOF75vSIab8anNa2+xXJuRB90TTgBT6UK\nSk8nJISIg0IlN8fNQfu9a2B/Iwkl3n7IGjPN3CUJ6oIZx2E+OHpDkiS8/fbbNf7tvHnz6rVuk7Jk\n586di4CAAISEhMDDwwMXL15E+/b0gNyG4LabDVaG+eGOGALaaJR5+ODqgj01atrHOuLqgj3QOVS/\n1Vvm4YOkFQcg01nObRpLosTNETvCnjB3GRZJeat2uDF9JQxaMw3AF5hGMw0uqJdLFgAmTpyIqKgo\n/Pbbb5g1axZsbGygUCiwatWqBiuyqeOcr8Hzhy6irbIAOZ6u+GVEN6jc6OeSTRHr3BvVrjDvd9A+\neIVZGb5uk3MDPjGz4Xj1rHDQChoNm5wb6LRh9r27JdNXQysmBHhkPIpbq5ZInbNkgYphJZW3ZHv1\n6oUnnngCVlZWMBgMuHz5coMU2BwYcugq2mXmQ2ZgaJeZj78nNL++8tkUCafk0xUB63/9is7r7kUo\ndl43G85//XovfD3mnuYTMxvOSb9VaP910AoEDY1P7Bw4JZ+GpNfBKfk0fDbWfMtOILifeg8rqXyg\n+vnnn6NHjx5YtGgRdDodcnJqDwUulIikF85t1cJabrkWczJhb5TRY9ncrWnX2V/l9Do9rPSkdkWq\n2QnbTlnVxdZWWQDFA13Py4ttL3Umtbu5u0nNUU5nkCraDiE1Hjr7ml1+DilV81Udr/wO7WN2xn9X\n0a6eRdlj9sZ/V9GSzsBgW9Vp6ZRc1UVaBRn9WTFH2rVtuEM7NgEg23CV1GxBG8xypXxSK+RkKV/k\nZAnbcZywnqDd3gDwh55OV3pCTjtaeQ7abEbnxZaCdph7gvYZ6EtvkRoAMND7nby0gNSsVTV/Vk4P\nbndXz8G68N5tX4OC/u6Q3aanMtTp6UxgAJA7B5JaK5snSU2lpbdHDejPWM/7cm1IWvIVZuWwkvud\nsImJidDpdJg4cSIiIiKqOZME97jmVXWnzfWkh3s0VR50vqqC+tb4bwBQPdG3xn8DgKpb1dcCQUNQ\n7Nvzgdf0wUpQf8zpkm1ITB5WkpWVBZlMhvj4eISGhtbbbdSSiA/pgGxvdxhkErK93XFqRHdzl/TI\nuT7jUxR17QeD3AqFPZ7C1ffvC19/PxaFPSrC1wuffApX37s3u83V9zag8Mn/at2fQkpkjDnKF7Qw\nMid/BLV/bzCZFdT+vZEVtszcJTUrmusBs97DSipxdnbGqFGjAAADBgyoZg4S3OOumw2+C+1n7jIa\nlLK2HXFl6X6Utq9+C6zUsxMuxCRC0lW/PVTWvhMurj0CqVzYnQWNh7aNN9Lf3mruMpovFn7gM5V6\nDyu5evUq5s6di4EDByIxMRHDhw/HhQsX0K4df75HAPjoo3O44eWI3SE+yBNZmQKBQNAssfQrRVOp\nd/j6mTNnsGjRIrzxxhs4evQoPvjgA+j1+jodMOUGoHOGGv88dB2fhQU8XOUCgUAgEDQi9XbJdu3a\nFY6Ojti5c6dRW758OZ566qk6N9rxgfxPOWjDkLwWl5dConVrOe2sS7vrTmpBbehg02QNncHa1452\nCCbJckkNAAIMdCRTDseV6Kd4htSsbDnZvoW0K1ehp92MEqdOAFBcpR2degXtvJQ42ZPWt2mHoK6U\ndrsaGP35Z5b/RmoAoALtdkyX6FQrnisxg+OSzTfQ+0CmnnazJtcyebsdJ/xYA7rPUxldq0ZG5+x6\nMHp8sSenVF52LwDYKThJXuV0tq9V7l/0cjb0d4BcR7uW9W6P08uV8V2y0NCjCSQZfdetiN0mtSB0\nIrVCid53GpLmeoVZb5fsg3ONXb9+Henp6Xj22brPBH7Dix9QLBAIBIKmS4s1/QBVXbIPDh+JjY3F\n9OnT69SYXgbjM0yBQCAQNE8s/cBnKiaHrwNATk4Orly5guDg4Do1Nn9+79r/SCAQCARNGsa53d+U\nMTl8PSoqCnv27MHIkSMbo05BI6HIy4Hn/62AffoFlHTqjqxXF6K8NX9SVYFAYHnY56vxP4evoGOW\nutFHJzTXK8xan2EuWLAAW7Zswfr16xEYGAidToeoqCgcP34cmzdvxpEjRxAWFobU1NTGqFfQwHh+\nHQOHtPOQDHo4pJ2H1w4xoFsgaIr0SPgNnTPUVUYnCB6OertkAwMrshCXLl2KEydOwMnJCT///DOi\noqKwcePGBitU0DjYZ1yp+jqdzs0UCASWi7uyqtv/wdEJDUlzvcKs0wGz0iW7du1azJkzB0BF0k9S\nUhKCg4ORmpqKoKAgk4vgON9RWksATFYJbWNva0dbw+9wQtRLOIHuOo52rIh2/w51oYdbAMAZGR0w\n3tvwGKnllP9Jaq0MtMXdQIRZq7y84Zxx3fi6pGNXyDT3djzrUjpcvOLv6e1AXkYH3isK6aE8Bjt6\nKIu66DipWUk1B8UDgB34Tu1LUjqp5Un08KFLetO2q5Rc+j3K5PSXT1vXQlIDgALO/lGgoEO7W3E0\n3n2p1syZ1G6D3sZlBnroDAA4KOjtipXTfSDZetAr1dPbo8GuFanJSu7S65Tzw/C1pdfpRWX0Z6Xl\nDEmyQs3DtfI9H0OrzHvDWJI9HZBq0HHre1S06ANmTVmy0dHRCA8Ph0KhQOfOnbFu3boGK1LQeFwf\nOQa+h49WzHDfsStujptj7pIEAoEJXBgxAI8lfIcAZTGueDpg/QjOWNZHjMFcs6Q0MCZlyapUKsyf\nPx9xcXHw9fXFoUOHMG3aNGzfvr1BixU0PGVu7rgxfaW5yxAIBA+Jxs0JC0P9zNJ2i73CrClL9v33\n3wdjDD4+PgCA4OBgrF27tqFrFQgEAkEToMUeMB/Mkj19+jTWrVuHhQsXonfv3pDL5VAoFFi1alWD\nFioQCAQCgTmpUzQeUN0l+/vvvyMxMRHnzp3D1KlT8Z///KfBihQIBAJB08HwEP9ZMia5ZPPy8mBr\nawsPjwoH2rBhw/DOO+8gIiKCux4qZF1poB8Q6xnHQgugtJwO9L5WZtog3UyVE6k52NAOSRknCP7X\nUn5XB9nQjr1CiXb7ZuMSqfXjhHa3saZnmC8voYPZ5VaupAYAtld/JDXJinam8kLUGWhnH+X2BYCL\nhl9JLVWWR2oA4Mjoz+u8jt6pC/X09lispbW27gWklpNH93k+xwVbG7zttdSK7vM/9LSWJ6M/xw6g\nJy6w54S2A4BLaRqplenpvnO2p0M3DLZ0v8pK6XVKBnpf1arp/REArO18aVGi91dvA52SlqdLIbXR\nME/oSHO9JVunK8wHXbLu7u7QaDRIS6vYiA8ePIiSkpKGq1IgEAgETQYDmMk/lozJWbKffPIJli2r\nSIF54YUX6jQfpkAgEAiaP4ZmeoVpcpbslClTEBcXBwDYtGkTQkJCam1s+UfncMPLAXtDOiG/DpmG\nbfPLMCshE12VxUjydMC/R3RAtmvjZCHWF8/CUiz99hp6ZKvwHw8nvD/YH1ku9C0oS8U6/w689sfD\nIesair06I3PUa9C68efAbCm45pci5FAa5ilV+MvTEVHDLXd7NBWvwlIsP5qKntlFuNTeER8O74hb\nTfA92uTnw+9QApyUq1Di0w3K8e+ivFV7c5dVI4q8bHjuXQf7jCso6fg4lONmo9ydE7hQR2zzizA0\n4Tc8psxHrqcbTo3oDrWb6bfw6wOz8CtFU6lXlmxMTAy6dOmCqKgo/Pjjj3j55ZcxefJkaDQajBo1\nqtbG5AaGzhlqjDtEp6jcT0RCJoIyi2FlAIIyi/FWQkadljMHy75LQ5+bRVAYGPrcLMKH39PPFSwZ\nrwPxcMxIhWQwwDEjFd4HvjR3SRZDyKE0dMxUwcoAdM9UY+5hy90eTWX50VT0uVkEKwPQI0uN9w/T\nk5dbMn6HEuCcmVmRiXztAjy/slwXv+fedXC4/ldFremX4bn300ey3sCEY/DIzIPMwOCRmYcBCSLm\n8mGR2IMzQjdoa/818FhZAeWc6K1KFApAd5/BoK7LmYOmVCuP5vI+GoKW0DfN5T02pffRULU2pT5o\nIjTuAVMgEAgEgiZKncdhCgQCgUDQkhEHTIFAIBAI6oA4YAoEAoFAUAfEAVMgEAgEgjogDpgCgUAg\nENQBccAUCAQCgaAOiAOmQCAQCAR1QL548eLFjdHQ0aNHsXHjRnz11Vc4deoUGGPw9eUk9/+XsrIy\n7Nq1C1euXEFgYCCk/4YfbNiwAb169cLRo0chk8ng5uaG/fv348yZMwgICICVVfXUv7lz52Lo0KH4\n6aef0KlTJ5SWlmLt2rXYtGkTUlJS0LNnT6Snp0OhUECSJMTExGDr1q1ITU1FUFAQPvnkEwQEBMDB\nwaHauktKSrB9+3aUlpbC29sba9euxe7duxEUFAQnp4rZT06fPo2vvvoK33//Pa5evYrHHnsMLi4u\nD9mzgsZAqVTC2dnZ3GVYJKJvaETfNC8aJbhg5cqVyM7Oxvjx49GmTRvcuXMHX3/9NVq3bo13332X\nu+xbb72Fdu3aQa/Xo6ysDJXH94kTJ8LHxwdqtRrFxcXo27cv/vjjD/j6+iIrKwu5ubmQJAmMMeP/\nU1JS0KVLFwBAfHw8li9fDldXV7zwwgv4+eefcfnyZeTn52P16tX49NNP4ezsjOHDh+PEiRO4cOEC\nLl++jLZt26J///6YNGkSHB3vTVc1Z84ceHl54ebNm+jQoQM0Gg369OmDnTt3YsuWLdiwYQMuXLiA\nIUOG4LvvvkNQUBCSkpLw4osvYtiwYQ3W9/VBqVTC09M80wFRqFQqfPrppzh27BgMBgMUCgX+/ve/\nY/bs2cYTEYobN24gOjoatra2mD9/vnG2nYiICPzv//4vNm3ahKCgIAwdOhTLli2DSqVCZGQkfHx8\nqq1r5syZWL9+PTZs2IA333wTWVlZiIyMhFKpRPv27bFq1SpcvnwZTz75JCRJwrx586BUKtGuXTss\nXboUkZGRiIiIwLPPPltt3ampqYiKikJQUBBef/11TJs2DTk5OViyZAn69++PsrIybNy4ESdOnEBJ\nSQnatWuHkJAQjBo1yuT+saS+8fX1xZgxY0zqn169ejX5vunYsSMOHz78yLcdXt8ITKNRDpgvvfQS\nvv7662q/Hz9+PL766ivusqGhofjiiy8AACtWrMAzzzyDp59+GmFhYSguLsY333yD4uJiDBkyBD/8\n8APs7OwQGhqK/v37Q6lUIjIy0rjBz5gxAzExMZg4cSLi4+OrrBsAwsLCYGVlha1bt+K1117Dl19+\nWaUOSZIQHx+Pb775Bl988QV69eqF0aNHIygoyPj3paWl+Mc//oEff/wRNjY2xt+PGzcOu3fvhkwm\ng1arRUREBDZs2IApU6Zg3bp14qBAHBQSExMxcOBAjBs3DgqFAlqtFgcOHMBPP/2EuXPnkv3SqVMn\nTJw4Ea+//jp0Oh127NiBLVu2GD9na2trDB48GFlZWbhz5w58fX3RrVs3fP755zh9+jS6d+8Oa2tr\n4+w8D55szZo1C2FhYQgODsbFixexevVqGAwGbNmyBREREQgNDcWAAQNw4cIFREVFobi4GL169UJ6\nejqmT5+O4ODgKtvdG2+8gdTUVJw6dQqjR49GcHAwIiIisGvXLrz99tsIDAzEsGHDcPDgQbRq1QqF\nhYXQaDRITk42qX8WLVpkMX2zfft2jB071qT+ad++fZPvm61bt2LSpEmPfNvh9c3s2bPJ9y+gqdME\n0g+LTCZDcXFxlVuZJSUl0GorJmJ99tlnUU5kHHp5eUGr1cLa2hpz587FjBkz4O/vD0mSYG1tDQBw\ncHDAgAEDYGdnBwDQaDSYMWMGLl26hIiICEyaNAlDhgwx3s7VarXQarXw9vZGTk4O2rZti/LycqhU\nKnh6euLGjRvo3r07UlJS4O/vj8zMTMjlcuPV6ksvvYTRo0fj22+/RVRUFNLT09G+fcVMCPn5+Sgr\nK0NpaSlsbGyg0VRM/ixJEgwGg/GAWVhYCJlMhtLSUrz77rsYOHAg5s2bV2XHnjdvXq0HhYULFxp3\n7rlz5xp37vz8fLz//vsYPHgwUlJS8Ouvvxp37iVLlpA798SJEwEAb775JlauXIm3337buHMvXrwY\nBoMBQ4cORUREBP71r38Zd+zFixdDkiScPHkSX3zxRbUde8mSJcYde9asWRg/frxxx+7fvz/mz5+P\nwMBAfPLJJ8adOycnB5cvX0ZsbKxxPdbW1nj55Zexb98+TJgwAV26dMGD53yVJzaMMTzzzDMAgLy8\nPMTFxSE8PBwAUFxcjAkTJsBgMGDQoEH4+OOPIUkSNm7ciLi4OMTGxmL69Ono168fgKonWwBQUFBg\nfH9BQUEoLy+HlZUVrKysoFarMWDAAABA9+7dAQCOjo5YsGABrl+/jtjYWHz44YcYOXKksb6BAwdi\n4MCB+OKLL4wz/1Q+Vrh58yZWr15t/FzCw8MRFxdnnPhgwoQJ9e4fS+qbh+mf5tA3le0+6m2H1zcC\n02iUA+bkyZPx0ksvYdiwYcZbsj/88AOmT58OAHjyySexePFiuLpWnwH98OHDePXVV7Fjxw5YW1tj\n+fLleO+993Djxg2EhYVhzZo1mDNnDqKjowEA+/fvR7du3QAATzzxBLZs2YJVq1bhu+++Mx68OnXq\nhDfeeAMqlQoxMTFYunQpNmzYgLFjx2LIkCFYvHgxNBoNvv76awQEBECj0eDDDz80zv8JAHK5HMOH\nD8fw4cORl5eHvXv3YsKECVCr1Vi+fDneffdd+Pj4GM8ux4wZgwkTJqBXr174/fffMXk5E2UeAAAG\n0ElEQVTyZKSlpcHT0xNKpdKkHbslHBQ2b96MK1euICAgwPjeU1NTYTAYMHz4cEyePBne3t7ktpeZ\nmQlvb2+8/PLLmD9/Pk6dOgVJkiBJEkpKSmBvb48pU6YYT2jUajWCg4MRGBiIFStW4Pvvv8fcuXON\nJ1u3b9/GqVOn4O3tjd9//x19+vRBdnY2ysrK4O/vjwMHDuDFF1/Evn37MGrUKCQmJqJVq1bIy8sD\nAPj4+GDlypXIycnBnj178NZbb8HBwQEqlQpJSUkoLy9HWloafHx8oFKpjO8jOzsbHh4exknbAUCt\nVsPW1rZa/6SkpNTaP2FhYWbpm1GjRlXrm/upb//Y2dk1+b4BKr6TqP4xddvh9Y3ARFgjoVQq2a5d\nu9hnn33G9uzZw3Jzc43at99+y86dO0cuW1BQUOV1WVkZ++mnnxhjjOXl5VXRkpKSWGlpabV1/PLL\nL2zZsmVkGw8uc/v2bfbnn3+y9PR0ZjAYGGOMnTlzhlyeMcZSUlJYdnY2Y4yxP/74g3355ZesuLjY\nqF+7do0dOXKEXbt2zfg+SkpKWGhoKEtOTq62rvHjx7MlS5awjIwMss3Q0NAq+nvvvcdOnjzJwsLC\n2CuvvGJsf+vWrYwxxvR6PRszZgxjjDGVSsXee+89tmzZMlZaWspmzJjBGGPs+eefZydPnmTz5883\nvudbt26xcePGscWLF7P9+/ezvXv3sm+++Ybp9XqWkJDAZs+ezcLCwqrUlp2dzdatW8dCQkLY+PHj\nWVFRETt9+jR7+umnWWpqKtPpdOzFF19kjDE2fvx4duvWLcYYY6mpqWzSpEmMMcZGjBjBXnjhBfbK\nK6+wWbNmsQkTJrDRo0ezpKQkduHCBXb16lWyb5KTk9lrr73GysrKGGOMabVatmDBAtazZ0/2888/\ns5UrV1b5+w0bNrC4uLgqvzty5Aj75z//yV599VXGGGPffPMNW7t2LZs3bx7bvHkzY4yxTZs2sd9+\n+42VlZWxmJgYNnLkSNazZ0/2zDPPsIULF7LCwkIWGhpK1nns2DH23HPPsdGjR7PU1FT28ssvs3Hj\nxrGNGzcyxhj7/fff2bBhw9jo0aPZ0KFD2aVLl9hff/3F1q9fz5KSkqr0z6uvvlqn/qH6pkePHmTf\nVG5D9e2bX3/9leybyn3blP757LPP6tU3dd12kpOT2auvvlpj3xw/frxa38TGxprUN5s3b2a//vor\nY4xx++dh+2bUqFFs6NCh7OLFi8a+EZhGox0wBTSm7tiMmXZQeHDnTkxMfCRffKbu2IzRB4U1a9aw\nbdu2sV27drFz584ZTw5iYmJYaWkpi4+PZ7t37zae1FRqjDFSX7duXY2aSqUyrnf79u1GLTc3l+3f\nv5/FxMQwjUZDtnn/OvV6fRVNpVJVWSe1nMFgYEVFRSw1NbXK+9i2bRvbsmVLtfXqdDp25MgRlpyc\nzM6dO8f27NnDtm3bxjQaDdPpdCwxMZGlpaUxxhjbt29fFe3IkSPVNJVKVaO2fv36Gte5ceNGtmHD\nBqbRaFh5eTm3vfu1b775xqhV9n1da42Li2MbN26sop09e7bacpVcu3aNnT9/nmVkZLDIyEhyG61N\nu//k935mzpxZ4+9zc3NZYGCgSe3dr6tUqjovW1RUVK2eu3fv1rlNAR8xvZcFkZ6ejoKCArRu3Zp7\nm7EuPPjMuBK1Wl3F3VtJbm4ufv3114dy0FHrrgmVSoXc3NxqQ4vy8vKMxiWA75Ju1aoVqcXHx5u8\nrDm09u3bQ6fTke+D0nlOcQcHhyahffLJJ/jggw8e+XornfIAqplw2H3u+Qdd9A2pVXK/Fh8fj7Cw\nsCo6AFy9etX4SKdymdrWe/9ytbUpMIHGPDoLBPXltddeM/57+fLl7JdffmGMVdzC42kPs6wlabW9\nj8rb62q1mvXv35+VlJQYl2kqGmOsQda7fv16Nn/+/CpXWG+++SZjjFmUZq42BfWnUUw/Aj48l7BC\noSC1EydOmLysJWm895Gfn0+6pMvLy0kNAHQ6nUnLWpJW2/vgOcWbigagQdbLc8pbkmauNgUmYO4j\ntoCx2bNns/z8/HprD7OsJWk8PSEhgb300kvGZ7TZ2dksPDycDRw4kKs9zLKWpNX2PjZv3sz+/e9/\nV+mzffv2sYULFzYZjTHWYOtlrOIZ8NKlS1lkZCSbMmVKlb+1JM1cbQrqjjhgWgA8l3BtDmJTl7Uk\nrTad55LmaQ+zrCVptek8p3hT0RpyvZXwnPKWpJmrTUHtCNOPQCAQCAR1QMxWIhAIBAJBHRAHTIFA\nIBAI6oA4YAoEAoFAUAfEAVMgEAgEgjogDpgCgUAgENSB/w9e3l3vK8XfwQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a4a4ad68>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MCu5dEXgihgmA/a4lqBo0AbI2DFWDJiD3l43mudxfviR01zZdH21zGmPObHNW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\nDb/z8PDAzZs3Da81Gg0UCnrBskAgEFCUu7vicsQ8S6cheIC0WJXsDz/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XAAAM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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a9579c88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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fVigCcw+b38Mk8Hg82Lx5M2bPnt0W9bQ7hY++3OhW7D8W5kf+1OJ5Cx5/FfbU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rSIbNu2jRBCyNatW8nvv/9OSktLSXR0NBkzZgzp27cvefLJJ8nSpUtJfn4+CQ0NpeZ56tQp8swz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\niuBXGhEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a9547198>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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oSU5DhZS//h7Rx36A4PVAn7sX5ncfb3PZ5H8sRdTxHyF4PYg6/iOS/8E2m+dw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\nABwYmAAAODAwAQBwYGACAODAwAQAwOEH5F2Ll8hdFUsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a4a2a438>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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m79lbxdga8Mv1h7BszXf45fpD0NvooSlOYNCcKWOqXUc/dBOmXxuH0Q9dqK71\nq5IlvG05oYOxphF//aAA//PCAazeUIT+F+Ezm2Br4sdrD6L4hLlnzx7Isoxbb70VkyZNwhtvvIG6\nOnqR01Ah9c8PIebo9xA8zdAV7obp3cc6XTblb8sQfewHCJ5mRB/7ASl/Y5vN90auyS1AirkOKklG\nirkOWblF/gtxukTK2uVstWv+OQVt/rcY+kI7de0Lv+ucStaHty0ndHjqs1JMtNgRJgEjzU4syuv8\nRfz83LKQPF75kGwHJk+ejM2bNwNoWdorJycHv/3tbwOWWHehK9zjtd3RA5RZtmgfc7svMMDqfdFj\ntNqDlMmlg7ZDO2KqXQ/v8vnYb7mDwVXJcmjGlnuL7DKttPinI+kdXhsqx2tfFf10aVrJeT766CNc\ndtll6NevH/N1MqGEE6LT6UKNVex9Mrwr1Y4L1ybsqEh0pl/oBiSpfN/3cQyZiOiCth8e5+BxXspY\nVfVxOlGJViQCgMyIexgKwiKZXvnFw1AI6mXfTiaVxlgMMLcpRE8ma1ErtOWmYewTAJIYYxZHJNoh\nJZJxfFlBl8sU6M+mGvQPT3gT7aoCAP1F2l5HEBj3BdW0YlFd7dvzs37QSGiLD7RuO4dOguacE5Vz\n6CREH/2+7bUZE6Ar9a2urR88DtrSU62PdcfbLg4dQychwuz9wxzWSA/fifVnyZjbcYiMqaKG0jGG\nm9Mh4RgZA/y0ZcbP2H7GYTdYQ7erUje9zwon7TOcEs0+YRk1FyZUYIzCKHNbWz1mvHD/4+DbF7nC\nGIskc5sJRKXRgKR2PtGiGJx72PweJoHH48GGDRswf/78QOTT7ZTd+0KbWnHoZJjv+UOny5be9zIc\nQyadU0JOguWu1f4L9TK+yRqN4hQdPKKA4hQd/jebtuzjBAbr7StgHz4NkioM9uHTUPLbNvFcyW9f\nYapr27dH891tNmfmu5+HY8ikFm/b4dNQev+rPfqeOJ3n9SwTDpm0aBaBwyYt/pRFT5XryL+zh+O0\nKQ6SKOC0KQ47s8Z0Y6YXgdyF/xCmyz3Mzz77DBMmTIBOx1iJIIRw9UtB0YqNEDzseXi+yw5C8dL3\nAp9UCOEwROGdnNAXb/Ul3PFJOPb0Zp8xV/9BTHXtiWXrfccSTTixbD1c+tD15eS0UGEIxxPzMhj9\nbxq7IRLb500LeE5dpa8OyXa5h7lp0ybcfPPNgciFw+FwOJyQpUsnzFdffRX79u3DmjVrsHjxYtTX\ns11gegNKciB8AAAgAElEQVSaSjOGPnsbJswfjKHP3gbNGXq9TQ4nmGjOlCH9pRyM+e1opL+Uc1FT\npDic7kSWlP+HMopPmEVFRdi1axcOHTqEf/zjH0hOTsamTZsCmVtQML37GKILdrVMHSnYhdS3Hwl2\nShyOT1LWLofu+B4IUjN0x/fA9N7jwU6Jw2mB38P0Jjo6Gg6HA6dOnYLBYEB5eTlmzJjBLONErc/n\nm2w7fT7fGcIjaIUtpUoEAHfshQpa4MJpJrrCPQivruhULrKngYw5G4+QMQBwy3TZRobak7U+ZRnD\nE9Yq0Pv83sW6/8BuMsVNtLo0OYoegahqpu/gmNT0/eZagaGglS70fD1PHWivWACIbKTXddQz1i0U\nbbQHa0PGT+j6ir4hY42DfR9XHaejaE/sR1ilt2pa9NCqVfHsUTLGwtFMH1di3SkydhpWMlYL9mT9\nMpn+nssYbcct07GjjXRbDRPpX241Yx1NtR8VuY5xaLkYRUsE37+dADBBpteErZeUeQJ3lVDvKSpF\ncQ+zf//+WLhwIWbNmoVrrrkGKSkpuOyyywKZW1DoOM2kPi1EVGccTgccQyZ6bdenZAYpEw6nA7Kg\n/D+EUXzC3L9/Pz7++GN88cUX+Pe//42Ghga8/vrrgcwtKJTduwbO9PGQRRWc6eNhufOpYKfE4fik\ndMErcKaOaGmrqSNg/fnCYKfE4QDou/cwFQ/JHj16FKmpqdDr9QBanH8+/dS3SXRvwpWYgpKH3g52\nGhyOX1z9B6H0N6uCnQaHc8mg+IR588034+6778a4ceMgCAISExPx3nvvBTA1DofD4fRKQly8oxTF\nQ7IVFRWQZRl79uzB3r17MXjw4NaVSzgcDodzCSN14T+EUdzDPHbsGCZMmICwsJZdXHfddfjmm28w\ndepUskyyepLP52WZVp1pwtk2UXL0IDrG8FHUVBaSMU+0kYyJtfQySU0u+oJBI7IdVyzNBWQsHgPJ\n2F7hBBkrkejW18i4uV7rolWgHol9jcWKF9bQn0GEmlZBltvVdIVxtNrVKtDq5htkdtOvl2lVcxrD\nGzuc8T1HFmvImBBGO2VFnKK/Y3+IdvozYNXpsP9AxmI0tPL2S9c/yFgCaNVymR+VLItmRpsLF+lj\noKpBWTtnqWT9eS03MML0EQCoQB+vFQJ9DITLtBK4WwnxE59SFPcwMzMzsXv3bjgcDrhcLmzfvh1O\nZ+dd9jkcDofTN+HLe3UgLS0N99xzD37zm99Ar9dj9OjRCA8P0tUMh8PhcEIH3sP0xuVyYcSIEdi4\ncSPefPNNHD16FDfeeGMgc+NwOBwOJ2RQ3MP0eDx48803YbVaERERgTvuuAMmE/t+49hnl8KZnIay\n2bfDZUgAAGhsVTBt2QidpRSO5FSU/WwuXIZ4pWlxOBwA6uoKGDf/GVFlx1A/aASsv1gGdzx9L5zT\n94ixNeDy3C8RZ61CtTEBe7Mmo97QQ6tKXao9zO3bt2Px4sW4+uqrW58rKCjAfffdB6vVCoPBgDfe\neAM33HCD38oESYKu7ARStrR5zqZs2YTosmIIkoTosmKkfPKBwrfC4XDOY9z8Z2hLj0CQPNCWHITx\nf14KdkqcHua63EIkmCshSjISzJWYmLe75yq/VL1kExIS8MwzzyA7O7v1uYcffhh//OMfkZmZiY0b\nN+K1117DypUrO11plKUY5e4Wz9YxlmKvmM5yEmp1/7YnWKvbAxDs9GoiQrjvVcoBQHLRHotiDe3r\n2tRIKxarmo+TMdZq8wBwkqHobJQbyZiVoS40M3xdnS5asclay07wowK019Cr0bP2K0fTsQQd7Ylr\ndtNNuH8Y7UH7L4avKQDMAq2UPir/SMZGyVPImLuxlIzVuIvJWHz4WDImCL7ff1TZMe/tk4fhsh/w\neq7Rc5bcr1ZNjxbta/qYjKkEhkpaOEPG4vwc5/ub6XbnZrQre2MEGautpj1YtXra9zg63EXGqpvZ\nP6l6hsJ2lIr+DNIkWn1tFep8Pj/Q6v18nPUs4gXfHtoB51LtYU6YMAGxsW1fVklJCfR6PTIzW3wr\n58yZg6+++uqiKrUZ+/l8DAD1poyL2heHw7mQjseRIzk1OIlwgobZ6D38WmfsuSF5QVL+H8pctOin\npqYGiYmJrdtqtRoSY75feyRRwFlTf+RnTW99Lj9rOpyDMlv8MAdlwnLLfRebEofD6YDl5l+dO65E\n2FMGo+xnc4OdEqeH+Wd2GmpMRkiiiBqTEYXZ1/dc5dy4oIWEhARUVVW1brtcLqjVjInl7di2POeC\n5xoM0Sj5VeeHczkcjn/ccf1Qcu9jcDdX+X8xp09iM0QgP+e2YKfRp7joHqbJZEJDQwOKiooAAFu2\nbMHll18e8MQ4XSPB1oR3PjiKXa/uxjsfHIWxhr4PyuFwOAHlUhX9bN++HVu3bsXZs20CgXvvvRfz\n589HTU0NJk+ejDfeeKNbk+RcPPfkmpFpbXFemmi145nPSvCbucODnBWHw7kkkEL8zKeQTqtk9+zZ\n0/rcsGHDsGnTJjzxxBN4+umnER1Nq83ac1LwvVJ7CsNLts65l7nPmISZZEx2lJIxt5tWpao8UWTM\n4aFXlJdAv48IgT3/KU6m1aVfCgyPWsG3QjDD6m1TOPaUHdp2qtEmP2o+ijon/dkAgORiqB0lWs3Y\nJNCK3vJ6OtYvgfbRPFRP55oYRasgAeBbdTkZGw1asXhA+p6MDZFoD9Y4NX0xIzPa1alGuj4A0Am0\nUjxCRc93PujaSsbUjJ8ND+Mm1DGGolvj5/e1ooE+PpIiaVV7I6OdJw+kh6vPOun6ysoTyJgh3rdi\n9TzhjHZXLdOq7oMirWi+SRpNxupQycynuwh18Y5S/P5qTpgw4YLnhgwZAgCQQ9347xKmOFmLIWVt\nJ81DST00YZnD4XD66AlTsTUeJ7RZl52CH5N1aBaBH5N1eH4mvaoLh8PhBBJBkhX/hzKKrfE4oc1Z\nQzge+CU9BMjhcDici4OfMDkcDocTWEK7o6iYTnvJtlfJHjt2DDk5OTh69CgeffRRnDxJ29NxOBwO\n59Kirw7J+j1hnlfJxse3KepWr16N559/Hnv27MGiRYvw8ssvd2uSHA6Hw+lFSLLy/xBGkUp27dq1\n0GhazLubm5sREUEbHLdnqDzkItMD3KAl4wDgqT1IxyRawt0s0/tVCfQ0mTDQpuUNcJIxF8NAHQAq\nBTsZ0zEMrXc20V9hRS39PjzN9PSPZsY+ZTf7GktuZJtok/m4abeoyP7053q2jn6PUZH0Z65jmGAD\ngIcxplQk1JKxETI9VaNAKCBjBjdtBi8yrmvTVBcen+1pZhwDrMUCbAJteK+R6fZxBPS0Chfjt9Ds\nZ5oTaxrUKYbBupOxAIHbo6yt6uPoY7WR0Y4BoIFRp0dFS0szZLqdFwtlZGyGKpuMdSeh3lNUiqJ7\nmOdPlh9++CG2bduGl17iSwdxOBwO5xx8Wkkbbrcbjz32GJxOJ/7+978jLo6eHM3hcDgcTl9AUQ9z\n1apVmDVrFqZPn+7/xUFAY6tC8pZ10JqL4UhORdnP5sJloIfKOBwOJ1gk1TRh5bYSjC53oMioxdps\nEyoN9FByb6CvDsletErW6XTik08+wQMPPICJEydiypQpuO++0FqSK3nLOuhOFkGQJESXFSPlkw+C\nnRKHw+H4ZOW2Eoy3OBAmAcPMTtybS1th9hYEWVb8H8pctEpWq9XizjvvxNdff429e/diyZIlMJno\n1dmDgdbsvXq9zlIanEQ4HA7HD6PLvUVtHX2geyWSpPw/hFGkkn300UcBAJIkwWKxYPRo2vy3PQ3w\nrbwra/w3WYZlHg0AgnChatVpyoDuZGHrtj05GS6pxus1boZKtslVQ8bK5WIypgKtgDvCULIBgI6l\nvmVcdelVtGHzKYm+HorW0erJBg2dS/2JGDIGAIhhqE8djOszRq6NdZFkLDqeVixqNS4ydsxmoHMB\n4Iih1Z7XqunvmWWSnSnryVgjw5icZXZu87DnQJ8GbSLPLkf/aGsYqm0XQ13slGnzfbfMvnZXM1TN\ntQ7aKF0VRpcLD6OPnfoGWnk7xkAb/rsZ7xEAEsQLP58iYxSGmds+72KjFhp478cg017Q0aBjtc3B\nmSN/yQ7JUrz33nu46qqrUFVVheuv78GVvDuBZfY9cAwaCkkUUZeSguLsWcFOicPhcHzyTrYJBSYt\nPCJQaNLiv7NTgp1Sl+mrxgWKrfHuvvtuzJ8/H++88w5Wr16NP/zhD4HMq0u44xJRcs+jqHeXBjsV\nDofDYVJpCMfzORmIBLt3ygk+F93DdDgceOuttyBJEgRBwMiRI2G308NiHDaxtkbMW38Yi9Z8jZ+v\nP4AYG9uogcPhcEKeS9XpZ/v27di6dWurSlan0yEyMhJz5syBJEk4evQoPvvss25PtK+SnXsCg8wt\nFxzJ5lpcl1uIzTljg5wVh8PhKEeQQ1u8oxRFXrJ333031q1bB4PBgPHjxyM1NbU7c+zTJFu9hVAD\nrewV2zkcDifUuWTvYfpSyQLAc889hwULFuDNN9/sdGX18K3MHBZ+I1mmxnWUuU+H6wQZk0Er5Grk\n02QsRkgkY4PEkWTsgPQ9GUskVG4VRj2SzG2q3DPGWOhkb4VepEgPeYsC3cAM0bQfqJ3hv9nkoCdN\niwluMgYAsoe+DyPU0FedUowyX097Je2x2aCl3+PAeFrpCLC9ZmuFwF89x4FW7dpBf/9RAq28BQCT\nTCuei1FExlSM+2m1At0GHIyPRsNoq/5g+b6ylLAqkdHmGIpWyUP3Jc4w/GL9qWRjwmnl9jjQbVmL\nKDJmFc6QsXT1Vcx8uo0Qnx6iFEUq2c8++wxarRbTpk2DHOITTUOdHVkjUG6KhSQKOGUy4Oss+oTM\n4XA4vQFBkhT/d4a3334bc+fOxZ133onFixejvr4eBQUFyMnJwe23347777+/W7Q1F62SPXPmDNau\nXYt169YFPJlLEbshCrnzJkGlfIYPh8PhXDIUFRXhyy+/xAcftDi4vfzyy9i4cSM2b96MP/7xj8jM\nzMTGjRvx2muvYeXKlQGt+6J/pb/77juEhYVh6dKlWLhwIY4fP45FixbBaqWXJzrPnBf+ias2/Ada\nWx9wsrgESbHX4+Mvvof5g0/x8RffI8VBmx8EikH1Tnz87+9g+Z+t+Pjf32FQD9TJ4VCk2Ovx5qYC\nfP3KXry5qQBJNbThxKVMd1rjRUdHw+Fw4NSpU2hsbER5eTmio6Oh1+uRmZkJAJgzZw6++uqrgL+v\ni/aSnT17NubMmYMTJ07AbrfD4/FgxIgRMBqN/iuTZPQzn8XkvL1dz5zT47z6/UFcVlkNtSzjsspq\nvLYrv9vrfO3Ifkw/V+f0ymq8+sOBbq+Tw6F45ZvD53xfZYy3OLByW0mwUwpJunNItn///li4cCFm\nzZqFa665BikpKcjIyEBiYpv2RK1WQ+qG+6h+h2TPq2T37NnT+pzFYsGTTz6peLWSBGu1onKc4DKp\n0tsycFIVWzgTCCbXereVyT1QJ4dDMemM9zHQ0QeWc45uFP3s378fH3/8Mb744gtERETglVdewaZN\nm1o7dQDgcrmgVrMX81aCIpWs1WrFqVOn8NZbbyE2NhbLly9HcnJypyutMMbC3s6rssFNu/OrQfuI\nAmwlbISKXtKrqZn2hI0LH0fGShs/J2NDMJSMFQgFZAwArIyV6uMYSkcwPEjrXXS5Zjf91UdEN/p8\nft+AGEw9Vdu6vdsQB8nZ+dvg4hBaIahW+47t6ReLyyraTpL7BsQgytC5H6lEHf06HcODF/Dt+Xke\nB2PYaADDE7gatCnFj8IRMjYRdDv+AT+QMQDwMBS9epk+tlgqWVZsnEDv83uGf7PTxf5xY6nBx8bR\nF+BFTtpnlqW81RFey/sHRmNKeduxetioRWQ7RXWMHyUwSwt+hPEbwDIB0jD26giS21l3zsM8evQo\nUlNTode3KMQnT56MTz/9FPX19Th+/DiGDBmCLVu24PLLLw943Yqs8TIyMjB27FhMnjwZP/zwAx55\n5BFs2rTJbzlJFFBhjOVK0F7KsquHYc22Iky2VWO3IQ4PjaMvLALFwz8ZiVd3HsSEijrs6x+DZVcP\n6/Y6ORyKx64Zile+KsBIqwOHjTq8OLP3+752C93Yw7z55puxatUq3HrrrYiMjERERARWr16Nuro6\nPPnkkxBFEbGxsXjhhRcCXreiE+avf/3r1sdTpkzplOAHAN5dfp2S6jghgjkmEjfPmNGjdZZFR+H2\n2eN7tE4Oh8Kij8CSXw4JdhqXNFFRUVizZs0FzyclJXWq49YVFM1leOedd3D6dMvE/4MHDyIpKSmg\nSXE4HA6n9yJIHsX/ocxFe8kCwPDhw3HrrbfC5XJBFEUsXLiwW5PkcEKdBFsT7sk1I8NajzKjDh9l\np8JmoJ2GOG30tzXhqU9KMO60HT8OiMbK6zJg0fPPrjfDvWTbecnm5+dj+fLl2LNnD3bu3Ilrr722\nW5PkcEKde3LNyDQ7oZJkpJntuDW3NNgp9RoW55kxubwOaknG5PI6PPs5bdnH6SVIkvL/EEaRSnbb\ntm2YP38+7rrrLuh0uk67KaQizefz5VIhWSYc7CtNlu+rmqGSTZZo8cjxxq3MOikqQN/L1ch+PmqG\nCq5SoNWlw1V0QQtjRXmW6tBhp30rY0w1ZAwA6hllu+OiU83wfB1IKG8BwMpQEAPAIBVdVidceJ2Z\nYfVW5KZYHfB0+Iz1Mu3Re71M39YYIAwiY8UyW31tAl3WClqdnirTx04Vw9u2Gr4V1gBgEn231eEd\nPrvxp+uQqfV+jqUuPc7wRQ5nHANopo/JuAj6fTQw1LUDNWyv5WKGGniMhs71tEAbdoyS+pOxZsZv\nR7dyqfYwfWGxWCCKItatW4d58+Zh+fLlgc6Lw+lVlCR7m+ufTKanM3C8Ke7wWR0z8s+ut9NX72Eq\nOmHGxMRg9uzZAIDp06d3WiXL4fRVNmanoChFB48ooDhFh//N9j2awrmQddkpOGzSolkEDpu0+FOW\nKdgpcTg+UTSt5IorrsC2bdswc+ZM5OfnY+DAgYHOi8PpVZw1hONPOUMQyRw85PjirCEcT87LCHYa\nnEDSR4dkFZ0wly5diqeffhobN24EAKxatSqgSZ0nyubApLwdMFjPwGbsh/ys6Wgw0GvGBYJwmw2X\n/+tLxFmrUG1MwN6syag3+F7LksPhcEIVna0eY/I+RIz1FOqMA1GYfT0aDez1UwOFIIf20KpSOm2+\nft6Xz+FwYNGiRaiuroYgCHA6nXjkkUe6JbmJebsRb66AKMmIN1dgTN7ObqmnPYNz/4UEcyVESUaC\nuRIT83Z3e50cDocTaKbn5SPWbIUoSYg1WzE0d3vPVS55lP+HMJ02X8/OzgYA6HQ6rF+/vjX+7LPP\nYkYn3V8iidXhnbJvD8U4a5XXtsFaifAO3rJqhndlY/MpMtYg1fp8XmexdMjhLOKFNgVjtIr2zBUF\nWgV5yP0ZGQOAOIYa+JhM+8V6GNaVg7W0l6qZoSyUdLTytj9jnwBgZqgA++lpr8xGhmIxSk2rB1lK\n2AyRHh7VaNjqwQEC/T48oD/08RJ9/61AKCdj6aDVxTVyBRmLAN3m/JEq0N7HDpn2Zy3FWTKmA/25\nxckMxbvIXuzXKtGfuZahhDUx2s4hp7LhcwOjvmNNbPX1iHC63aWBFjupZPqYdAq+Fb2JVu+FCmKs\n5TDLPTRlp48OyfrtYU6YMAGxsbE+Y6WlpSgpKcHVV18d8MQAoNqY4LVda6Tl04Gizjigwza/P8vh\ncHofFUbvDkql0dBzlcse5f8hjCKV7HneeustLFiwIFC5XMCPWdNgMw2EJIqwmQbiSNZV3VbXeQqy\nrkWNyQhJFFFjMqIw+/pur5PD4XACzb+zh6PCFNey6IUpDt9njQ12Sr0eRaIfAKioqMCxY8cwZcqU\nQObjRb1Bh33zftZt+/dFo0GP/JzberRODofDCTR2QyT+b56yNYu7TIjfi1SK4hPmhx9+iFmzZgUy\nFw6HwwkISTVNePzTUowud6DQqMVfsk04Y1B+v7czDKhpwurcExhb7sCBJB1W3ZAKa2zXPHH1tkZk\n5RbBaLWj3BiNT7OHoLYXeBRf8irZ9ubrO3bswDvvvINPP/0UOTk5KCri3o8cDid0ePzTUoy3OBAm\nASPMTvw2l7YBDBRL8sow0WJHmCRjosWOpz4r7fI+s3KLkGKug0qSYTLX4abc411PtCfoo/cwO62S\n3bNnT+tzq1atwjfffIPo6Gj85z//wUsvvYS//vWvfitrkH0rUweItFrvjMQ+GQ+MpodsmxtOkrGo\nCLrOZtcZMuZspg88nTqVjNkEBxkDgEw5nYz1B61YdIH2rjwgniZjIsMrMy6Sjh30owIcEEsrYRPC\n6FwbGcrDCIbv7WUCrSw8KNOK3nEMdTUApDP8OdUMJahJpBdHlxjG0vECvRCxRqTnHnsYCuqWOK3K\njAzrR8bK3SVkbLTM8KcV6GPHAToXvZ+fIp1It4FMH01yTLn38TbU6kSd5K00HaWl/VlZ6nPqXXT0\nxB1bbke82rvNj2AoYU8LDRc8Z7TWddi2I0723kcE6GNSj56Zd9kROcRPfEpRpJKNiYnB0aNHAQBF\nRUUYPXp092TH4XA4CjjZwdv3aA/40xZ0qONIAOrs6FFcYfQ9YyHk6KM9TEUq2ZdffhlLly7FT3/6\nU+zcuRO/+tWvAp0Xh8PhKOZ/slNRnKJDswgcNGnxxyy6Bx8oXs8yIf+cJ26+SYv/CkCd5z2KJVHA\nKZMBX2fRIxic7ueiRT92ux2PPfYY3nvvPaSnpyM3Nxf33Xefl5kBh8PhBJNqQzj+kpOJQ56e67FU\nGMKx7M4hAd3neY/i0RK9jGFIEuI9RaVcdA/zzJkzkGUZqampAIApU6agooJ2ImnP1S+8gwkbPkGE\njb7PxeFwupdwmw0j12/A2GeXIuO9P0Fjq/JfiMO5GProkKzfHub27duxdevWVpVseno6hg0bhokT\nJ0KlUkGtVuPFF1/sVGWiJMFgPoUReV/1+PxKDofTQkZuHmLMLeI1XdkJpGzZhKK7FwU5K05f4pIV\n/ZxXycbHt63Avnv3bmzbtg179+7Fr3/9a/z4448XVane2rkeKYfDCTy6DuvXai20IpbDUcSl2sOc\nMGGC13Z1dTUiIyMxYECL5+oNN9yApUuX4sEHH+x0pR09Yask+oDtrxrG3JfczJ6uQcGaOuKRabk5\na+pIuYte2WSMMI6ZTykKyVgsQxruZBhhT2YYgY/AhRL286x10/s0+jEtzxRZTYo2u46T6UnlRaCn\nh+gZpvUTGfWxpjgAQCziyFgE6OXeNCpaxZgpXk7G1Gp6GktNI31BGqe/jowBQE3tvy94zm5Mgt7c\ntsiAIzkFHsm7PSRiQMdirQzU06ND8XWfk7Hj8hEy5oCNjAHAAIY5vQv0j+xYFWPhAoaJfiXoaU6J\nAt3GWe0YACoJo/SWfJRRJ9C/V2qZngLVrYT4iU8pF30PMy4uDvX19Thx4gQA4F//+hfq6+kvrD09\n6QnL4XB8U5Q9E7WmZMiiCHtKKkpnzQl2ShxOr0CRNd4rr7yC1atXAwBuuukmDBzYuRU9vlz+GyXV\ncTicANJkiMXhnF8iXOwlc/o4vQ5ZpnvovRlFJ0xRFPHee+8BAN5+++3WtTI5PUeUzYFxed8jzlqF\nCmMsvs4aCbuBHrbihC4a21mk/usdRJmLUG/KgOWW++COo114OJzOEG1rwFW5B5BgrUaVMQ67sybC\naeh+AwcAkBUPMIc2nRqS3bp1K2w2G+bNm4clS5bg888/R3Z2NiZPnox//OMf2LZtG+x29gKwnMAy\nLu97JJgrIUoyBpptuDzvcLBT4igk5ZMPoD15DILkgfbkMSR//HawU+L0AX6aexT9zGchSjL6mc9i\nct7enqu8j4p+/J4wa2trsXbtWuzfvx8bNmzAwIEDERsbC0mSsGHDBuzYsQNXXHEFXnvttZ7Il3OO\nOKv33Ln+1pogZcLpKjpLqdd2lJkvZsDpOv2t3t7dCVbakzrQyLJH8X8o43dIVq/X4/3334dG02Lw\n6/F4EB4eDr1ej8zMTADAnDlzcNNNN2HlypXMfZ2G1efzRqSRZfyNhbtd5WRMFOkhysZmuly4Kp6M\nNTbTU2KSwqeRMXczrTwFgEyZVl7apAs/txpjP8SZ23KpMyZhiDDC6zUOmT5AnAyV7ANhyWSsSvBt\noH+e0wzD8zRZ2YrveoFWwroYasZRciajHP3+AWCgegIZC4ulFc+eOloJqgrzfc+wPiUT2tKjbdup\nIyFEGVu3YwVa7StLbLWvXkuvV8tSmPdXJ5GxM7XbyFiUSKuLE2X6uGJ9jwCgkulre5ZxexlDQapj\nqKivlGldxjacImMqQSBjAKBXqFo1wkjGaojj/KwxDv3Mbb87Z4wGNIJt1h8oZD/fZ2+lU0OyGo0G\nLpcLzz33HJqamjBkyBAkJrZZNanVauZKDJzAczDrclSb+kMSRdSYjCjMvj7YKXEUYr31fjgHj4Es\nquAcPAbWuY8GOyVOH2BX1nicNsVBEgWcNsVhZ9aYYKfU6+mU6KeiogIrV67E/Pnz8ZOf/ARmsxlV\nVW1Dgi6XC2p1kOb7XKI0GKLxw7yZiBKCs3wPJ3C44/qj9HevBjsNTh/DadBi+zx61Ks7CfWhVaX4\nPWG6XC6sWLECa9asQf/+LZOrTSYTGhoaUFRUhIyMDGzZsgWXX05Pyu4raGxVGLxlA3QWMxzJJpRk\nz0aTQdkwY18jxtaAa3ILMMBahzKjDh9lp8IWoivDR9rqMDHvKxislbAZE3EgaxrqDfSakxwO5+K4\nZFWyO3fuxJEjRzBz5kxMmjQJ06dPxxtvvIF7770X8+fPx8iRI5GXl4eHHnqoJ/INKilbNiGm7CRE\nSUJM2Umk5W4JdkohwzW5BTCaa6GSZKSZ7bg1tzTYKZGMzPsP4s1nIEoy4s1nMDbv+2CnxOH0Kfqq\n6JCWg+4AACAASURBVMfvCXP8+PEwmUz47rvvsGfPHtx8882IjY3FsGHDsGnTJkycOBFPP/00oqP7\n/hV6R89NncUcpExCjwEdVoZPsSqzLOwJYjt4GRuslUHKhMPpm0jwKP4PZRSpZCMiIjBkSMu6b7JM\n+zF2JAm+F1TVCJFkmUg17YfqD0FFq2QFN62Qo9S1TlM6dCePt243pAxFVEQ7JSbj6ihcwzYVONuw\ng4zFifRCtGEMJbDaQ3+uOoZXqhp0uRjZt9K5xtgP8e1Uu5VGA4bK3mv4qRjXZ2kdFL7tqSbqBIB+\nYgYZCyO+f2dyKqLL2i5+6k3pSNHM8C4bOYjcr9xIL4elUtNKUCluKBkTzx4lY1IiLdYIqzlJxgBA\njqQ9agWZscaii1ZDJ4iX0eUYqt2EJlqZ7Jbd9D4BeBg/pBJowWGKTB8fkaB1F0UCrWqfKdOKVUlm\nix+rBVpFXinQn49Tpue5s5TrwxlK8e6krzr9KFLJzplzaXpPWmbPhzN1WIuaMXUYLLcsCHZKIUN+\n1nScNfXvFYq8kz+7DY5BGZBFEY5BGbDMvivYKXE4nF6AIpXspYorLhElv3oq2GmEJA2GaOyadwOq\nEPqLEbsM8Si+++Fgp8Hh9Fn6quhHkUo2kETYajEi7xNEW8thNyahKHsmmgzcFJrD6Uuoq89g5Efv\n8+PcB3pbA27ILcRAqx0nk7X43+w02AzsZcJCHSnExTtKUaySPXbsGHJycnD06FE8+uijOHmSfS+F\nYnjel9CbLRAlCXqzBRm5WxXth8PhhC7J//w7P84JbsgtRLK5DipJxuAyB+bk9v4FvWV4FP+HMopV\nsqtXr8bzzz+PPXv2YNGiRXj55ZcVJRBjPe21HW2lLes4HE7vpKM/Lj/O2xho9Rb0DLLQwqDeAlfJ\ndlDJrl27tvW55uZmRET4n6Ru97GqerUxHgnmNlm/zZjgpYqsa2JL/uNVg8lYk4s2JI9S0csniSrG\nFBnWUAMj5vGwV3NJDBtGxtRhCWSswU1PbWFdrYkMH02W8jbMoyFjAJAhjCJjzaAVlDp1Kl1nM63a\njQijbxOwvkdBzXZIkhjtTtDSqmWE0ceBWF1IxhpTaeVpeDXtXyxrYuhc/KGiVaJS0xm6TpntX+sL\npykNupNtJ02H0QihXRsU/Vy7a0F/lyy3qwofvznncTGOjxSZ3qdTaCRjlWCf7BqEC+s8mazF4LK2\naVinjTEwdvCWdoNWEUfK9DFJ+Xd3N6F+4lOKYpXs+ZPlhx9+iPfffx+PPfaYogR+zJqGs6Z+kEQB\nZ039cCArOFZOHA6n+7DMvgt1JhMkUUSdyYSi7KxgpxQy/G92GopTdPCIAqwmPb7Ipi+eOcFFsUrW\n7XbjqaeeQmZmJv7+978rTqDeoMN3865TXJ7D4YQ+LkMCDufMC3YaIYnNEI53coZd0KvszfRV0Y9i\nleyqVaswa9YsTJ8+vVsT5HA4HE7vItTFO0rxe8Jsr5IVBAEajQZz587FJ598gq1bW5RuKpUK48aN\nw9tv99xK8ZE2O0bnfY1YayUcySkonXULmgy0ew2Hw+H0NbQ2J67M24v+1hpUGGPxddZI2A0tGoRo\nWz2uzNuDRKsNlUYDvs8aC4dB2yN5XbL3MH2pZOPi4nDnnXfi66+/xt69e7FkyRKYTMot7JQwOu9r\nxJkrzhmhlyL1Xx/3aP0cDocTbKbm7cdAsw2iJGOg2YbL8w63xi7PO4z+5mqIkoz+5mpMyzvQY3l5\nuvAXyihWyT76aMsit5IkwWKxYPTo0Z2ozLcqL0agPS2bCUVebAfDbJ2lDM2S9+rqhih6tXmPm/aK\ndLtoybsmIpWMOesPkjGtbiIZAwBXPa2grGrcS8YSo39KxiQX/R6bPbSCWBBoBW0sw0ezpSzdpMIZ\nytzGZloJGq6iVcKU7y8AiOEMr1R/RKeTIU8UvaSbFE4retX19HuMqLKQMbeeVgKra+l9AoDM+C6F\npjoyhv70saNqoL1L3TV7yFiMjt6n20H7qAJApUx/PjGgv+dR8nAytk84RMYiQCtP+8n093FaOEzG\nAOAyaQgZq0c9GTsh+P6eb7NWe233t9bAc85bt7/V+xhPsNpQJTC+8wByyfYwAdpL9r333sNVV12F\nqqoqXH/99d2aaEfqjAO8th1G9g85h8Ph9DUsRm+h0Gmj3udjADhl7MIUJA6ATp4wKyoqsHDhQlx5\n5ZV45plnIAgCAODuu+/Gjh07kJ6ejtWrV3droh0pyLoWNaYkLlPncDiXLLnZ6Sg3xUISBZSbYrEj\nq23Vnx1ZI2Ax6eERBVhMenyeTa+WE2guWeMCXypZh8OB9evXY8GCBRBFESNHjkR+fn63J9ueRoMe\nP877OcKFviPF5nA4nIuhxhCB3HmTfMbshihszhnbwxm1EOonPqV0SiVbXFyMZcuWQZZlCIKAadOm\nQavVYs6cOdDpdFCpVHj66af9VnbjC+thM/ZDftZ0NBj6/oLTHE4ooq6yIvn91YgqyUf9oBGw/mIZ\n3PEDg50Wpw/BWqO0N+N3SPaqq67C8uXL4XK5IMsy4uPj8atf/Qrz58/HRx99hEWLFmHXrl1ITU31\nX5kkI95cgTF5OwORO4fDUUDy+6uhPbEfguSBtuQgjP/zUrBT4vQxLlmVbG1tLdauXduqlH3xxRfx\n4YcfYt68eXA4HHjrrbcwZszFLRZssJ5BE9r8GB1yNflaqx8vxBGg1ae2+h/oHLS0d6fooRV7Qhg9\nBKzVjiNjYOwTANSaJDKWGEkrNmU3rVhkTR5WMXxWa1xHyZhWpD14AUAl0irRMIYnblnD52SMLgVE\nMFSgaDxNhgQVnScAQKL9UmUdnRFLtVo/hG5z2uIf6fpEuvfXzFDsAoDourDdRZV4q7mjTh4BNN7z\n84QqWkEqM1xcNFpalcryWo4U4+lyANIE+jOwNNOfHesHeJBMt2W7H09YijiwPbXLhFNkrBr0b8Qw\nmf59UBOzDwDALdMetN3JJdvD9DWtJDy8Za225557DgsWLGiNdZZqI+snkMPhdCfOwd4XuPVp/qeE\ncTicLkwr2bZtG7RaLaZNmwZZljtVmSQKqDIlYm/W5C4lzeFwlGOZ9wwcGRMgiyo408fBescTwU6J\n08fo7iHZrVu34rbbbsPPf/5zvPDCC938btpQZL5eWVmJd999F+vWrbuoyrYsv01RkhwOJ3C4E5JR\nsvhvEJvpZao4nK7QnUOy5eXleP3117F582ZotVosWbIEn3/+Oa67rvsX8VA0rWTnzp0ICwvD0qVL\nIcsyjh8/jkWLFuGxxx6DkRsIhDya6kokb/lvaM0n4DSlwzJ7PlxxXXDF4UBTaYbpvcehPbEf9Wmj\nYb3jCbgT+LEQqkTZHBiftwsJ1mpUGeOwO2sinD3ks3op0J3ina+//ho33HADtNqW72vu3Ln46KOP\neuSE6XdItr35+qRJkzB9+nScPHkSc+bMwYkTJ2C32+HxeDBixAh+suwlJG/5b+hOHocgSdCdPI7k\nLf8d7JR6Pab3Hofu+J4W5emJH2Hc+FywU+IwmJi3G/3MZyFKMvqZz2JyHm0/ybl4lNsW+O+Z1tTU\nIDGx7QI/MTER1dW0cDSQ+O1hnjdfb6+SNRgMsFgsePLJJy9qeS9q1fD+CrxkzyMyVJI2qZKM6d20\nlyrLZ7Wx8QgZC2P4mmrEWDIGACJDXdrUVErGWBOEqTq15hNe21HmE2h0t/nnslTLepFW7AJAo4dW\niUqM79Ig0BdbapFW9IoMtW9zcxUZCxP9CNUY6mNVo+OC57Qn9nttR5UchFzn/TlH1NBtR46mPUY1\nFUVkDC7lPxTNrjNkTB01mIxJTfRx1WDfR8Y0YbQqtUmijzkAcMu0glRkXPeXCL5V9gard9tIsNow\nQBjUul0vF5D7bGAoaFV++iCsE8IkOZOMnQKt+GbV2Q9sVXt30Z1DsvHx8bBY2ryFq6qqkJDQM0JS\nRSrZiIgIWK1W5ObmIicnBw888IDXG+CENs5k7x9DR3LPrjTTF6lP66A8NWUEKRNOZ+joq1pn5MYN\nvYUrr7wSX3zxBerrW8zqN2/ejGuuuaZH6lasks3IyMAtt9yC9evXIycnB4888kh358oJEObZd6Iu\nZVCLD2/KIJRkzw52Sr0ey51PwZk+vkV5OigTllvuC3ZKHAafZw9FjckISRRRYzKiMLtnF4/o63Tn\nkGxiYiIWLFiAO++8E3PnzkVCQkKP3L8EFKpkAeDXv/51a3zKlCmwWtkGA5zQwWVIQEHO3cFOo0/h\nTkhGyUNvAzX0UB4ndKgzRCI/h6v2u4vOnPi6QnZ2NrKzs7u1Dl8oUskCwDvvvINZs2ZhwIABOHjw\nIJKSaCeKS4Fwmw0ZeRuhs5TBkZyC0lm3oMkQF+y0OBwOp8fxCH3T6adT5uvnVbKCIECj0eCOO+7A\nhAkTcOutt8LlckEURSxcuLAn8g1ZMnLzEGM2AwBiykqR+q+PceyuXwU5Kw6Hw+l5uruHGSwUqWRj\nY2Nx4MABLF++HLNnz0ZzczMqKtgrvwPAWcG38lAtl5Jlwv14M5ZIB8nYENVUMlbUtJ2MxQt0b5ny\nvNR1GJKOtpgRGd6mKJWa2SpAu6uQjMVE0NZlTS4zGZPRTMZUQjgZGxhGewPbm0vJGADEqGkVrdNN\n58rC7qEFZWEeWun5/+ydeVxTV/r/PzchrAkQQEVC2BE33Ki4tLXLaJ0Krdra2k5B7epvRqVOq7V2\nbLXaVazTatXR1tFqR51Wp/oVHDt2s7W2Wre6FBGQJYmKImFJWJPc3x9UMMBzgEhIgPPuK69683Dv\nfXLvuffcc+7nfI63W38yVsM4bgBgZih6Xa7RZV1gqLZl7mH0Dqto5WltNZ2rlKEgBgBd9Y9kzFPw\nIWMuZfQ+Fa70vIo1lnIyVlKdT8dwnYwBbCWsL8Nt2EOkz5VMoJXpBoE2dVCLoWSsVCwjYwBQw7gm\nTwr0PUAt2tZbZSJGJtibrlph2qyS3b9/P2prazFt2jSkpKTUTyrdXTEEh1gtV4TQwwQ4HA6H0/mw\nSSX78MMPQ6vVQiqVYsuWLUhKSsKCBQvsnatTk/fAZBjD+tapJMP6Qjt5pqNT4nA4HIdghmjzx5mx\nWSXr7e2NiRPrhiOMHj0aixYtsl+WnYBqpR9yn37N0WlwOByOw+mqXbI2q2THjBmD/fv3Y8KECTh9\n+jR69+YDfzkdi7u+FDFpB6DQXUK5KgjZiRNQrWQ7KnEcg5tej75p/wcfXSFKVb3wW8LdqFJ6t7wi\np1Pi7C1FW7FJJfvoo48iKysLBw4cwGuvvQaz2cwrTE6H0yftf/DR1ImtfDRaRKXtw7nkPzk4K05z\n1KnI6yZPVmouo3/6dziR9KCDs+LYi27bwmxOJRsQEIDt27fX/80bb7yB22+/3a6JcjiN8dZZz16v\n0F0i/pLjaBqryH10LavqOZ2XbtvCbE4l6+bWMCQhLy8Pubm5rXqHWUlInL1Ad81UMYyO6+LVZCzH\n/AsZk0FGxq6L9I3Xwhji0LuSltRfEE+TMQCIEgaQsczKPWQsSKDVuNfM9JAbBZRkjGXo7sEYigAA\n12p+JWMS0EMuakEP49CgoNnvo1U+6K3R1y+XqQJRLTYYoxdW/URuU+lCm4sDQBnjPHsKtMRfKtCm\n7gXln5ExlZQeOiST0t3MFgttSg4A3qyJDRjH3F3a/PApALhc/TMZkxPHplwVBB+N1mrZTZDXL/uJ\ndNkAgIugDeh1Aj20KECky2umeJKMyRnD2TKETDLWEt4iPUFDJeO6KxLoewt1XwWAS2APZ+Nt/LZh\ns5fsDdatW4eZM7kilNPx/JAwACXqoN/9QIOQkXCPo1PiEGQnTkCpOhgWiQSl6mBcSBzv6JQ4doSr\nZBupZG98n5mZifj4eLslyOFQlCs9cTJpkqPT4LSCaqUvziRPdXQanA7C2Ss+W7FZJQsAn3/+OR54\n4AG7JcfhcDiczodZ6KYVJuUlO2jQIHz00UeIjo7Gd999h8WLFyMqis8ByOFwON2dbtvCbKySTU1N\nha+vL5YuXYpDhw5BoVDg+++/R2pqKtavX98ROXM4HA7Hiem2FWZjlazJZIK7uzu8vb2RkZGB+Ph4\nZGdnIzaWVvndoBehWGMZL58X2EMFQkRa7akVisiYK0OxWQxaeXibGEPGLosXyRjLzBkAihnK3OsM\npdt1kVYCs6bYcRXZZtcULPNoAPAArRKVMYpbFUOxyaIQ9DysQUI4GTtt+pa5XR+Gclsj0ibirPtE\nT/QkY3nmE2Ss1kyrIFkqcQDIFujzHAgvMqY00apUlsL8F5wlY33FYDLGMlcHgN4IJGOnGQragQgh\nY78KtKI7XFSRMbVIl43roBW7AFDBuLf0AG0G78NQ1waAVjRfEJpXmHNso1Winxsq2dTUVNTW1mLK\nlCkYNmwYZsyYAZlMhoiICKxevdreuXI4HA6nE9BVW5itGlZSWFiIWbNm4a677sKSJUtgMBiwcOFC\nbN68Gd988w0mTZqE5557zt65cjgcDqcTYL6FjzNjk0r26tWrEEURYWFhAID4+HisWrWq3ZPz0hsx\nPf03BOsM0Krk2JMYgRIle35MDofDcTa89EYMTz+OAF0xrqp8cSghFgYl3c3aWuT6CoxKPwGl7hr0\nqh74NWEkKpTsOVI7gq7awrRZJduvXz/ExcVBKpVCJpNh+fLl7Z7c8PTj6Kmpc7gI1ZRjYtpFfJJM\nTwrM4XA4zkjdvazufXKgRo870s9gfxI9wX1ruSP9DPx/d7vy11zF4PSf8VPSuFve7q1i7pr1Zctd\nsjdUsj/99BOOHTuGyZMnw8fHB0ePHsX+/ftx/PhxPPPMMzh16lS7JxegK7ZaDtYZiL/kcDgc56Xx\nvaynjm1Z11oab0epu9Yu271Vuq3TT3MqWZPJBA8PDwQG1inXxo8fjxdffBEpKSnMbemF5is8SpWq\nUckRqmnwULysUkDeSIXpyVSW0Wq2nyQ5ZCyc4T95XsglY5QKGACOQ0/GAOCaUMHIh/Yu1Qn0hSdl\nPA8ZBFp5GcL4HSzfyrrt0qpNH5E+V7kS+newLqLBFnqWHI1Iqye/ES6TMQCIYSiTfRg+o5lCKRmr\nEa+QsXiRVtBWCrSCuKXzYSvfChoyNoThQ5zLUIEaJHlkTCXKyRgARIm04jmQcZ1XgD4frOvjGkO5\nny3QPsNBxLVapPKrb2ECQLEqAH6NjqNEpPNxh1uz3zfebpHKDxVouJd4MBTNnLZjk5fsjBkzUFFR\ngZycukpn7969qKigb/i2sicxAlq1N8wSAVq1N75M7NPu++BwOBx7cyRhKK6q/WGRCChS98CphJHt\nst1fEuLqt3tV7Y9fEuLaZbu3SrcV/QDNe8muXLkSy5YtAwDcf//9dpkPs0Tpjs+SB7f7djkcDqcj\nMSq98E3SHfDErQt9Gm/3u6Qx7brN9sDZKz5bsdlLViKRYPPmzQCADRs2IDEx0W5JcjgcDqfz0G0r\nzMOHD+PMmTOYMGECLBYL5HI5HnvsMRQVFWHPnj2QSCTw9/fHzp07OyJfu+Onr8bEvSfQS1eKQpUP\nvknsh3Il/e7Nnij1VZiUlosQnaFdpei2otBXYEL6WfTWleOySoEvE/ug1EHHhsPx0JcjNv0H+Oqu\nOsX1wWmgq1aYLb7DHDx4MJKSknD8+HGcPHkSw4cPR2RkJI4cOYLt27fj2LFjmDFjBj744IOOyNfu\nPJqWhyBNCaQWEUGaEtybluGwXCal5SJMUw6JRayXojuSu9J/Q7CmDFKLiGBNGcanXXBoPpzuTWz6\nD/DTFDrN9cFpwCza/nFmWmxhKpVKzJ07FwBgNBphNBoRHh4OHx8fxMTU+apOmTIF999/PxYtWsTc\nVima91NtrHy9mWJinRsYGF6zlQL9nGMgnoFCtdZK3p66Ehy4yXc1RMJQnjL8UFWM3wgArs08u6gb\nDaMJ0OlxoJG6M5yxXR+GXy7LtzJb0ryit1cjCXuQrhxy0Vq9d1SgZe1xQvNKPwAIt/i2OR8A+Iqh\n5vQR6HNVaBbIGADIpXS5qxTpclUs0v69BsbN4KhAe5DeitRezjgGR0X6uLKOXaVIK3P9BPqW4iHS\n5ZGlLgaAazjX5LtxOutj1lNX0sRXtYyhkq1htIOkAu2ZHCr2ImMlKCNjAOBGqF0Btmq3HEYyFgF6\nlqhykV6P03ZapZIFgHnz5mHcuHEYMWIEjEYjevToUR+TyWSwWOgbRWfiYrC1IXWmijaotjdalbXU\nPsuBuQBAfrB1PldU9PATDsfeaBpdH3pVD+IvOR1NV1XJtrrCXLFiBb7++mucOHECFy9exPXrDa2u\nmpoayGRdY7zPlsQQnFN7wSQBzqm98GGC2mG5pCVGIl+tgEkCZKi9sD7RcbkAwGeJYbik9oVFIuCS\n2hcHE7jrEsdx7E4MR55aAYtEwHV1T/zaTkM1OLdOV60wW+ySPX/+PM6fP49JkybBw8MDkZGRqKio\nQEVFBbKyshAdHY09e/bgzjvv7Ih87c51pRteTXKOibBLlO74NHkAfmMMBu9IipVuSEu6zdFpcDgA\nAL3SHZuS+2G4GO3oVDiN6Br9jU1pscIMDw/Ha6+9htdffx0AEBAQgN27d0OpVGLGjBkoKSnB8OHD\nWzW918vvHIFWJUdaYiQ3Uedw7EiAvhpPpmkQpTMiN1iO7YkhuK6k359xuh7u+lJMSP8FvXQlKFT5\n4oeEASjvIBWxWWRrBDorLXbJVlRUYPTo0Th58iROnjyJ2NhYHDp0CH379sWOHTsQFxeHxYsXQ6Fo\n2SFfahERqilHYhptS8fhcG6dJ9M0iNEYIbUAUQUGPJ7GJxLubvRL/xa9NXpILCJ6a/S4M72pcMpe\ndNsu2eZUstHR0YiIiAAAiGLbFXyNTdQbKy1v5pTAVp2FM1RnZy20mi+A8QAUy1BznrLQXqk5DEWv\nsoUHLrlA/4GB0b9RKaGLmKtIK/3OgDayv8tCqwCvtHA+WBQw1i0GnauKUT6uMNarZJRNXSV7/GiY\nF90Nfkak1dAsNNX077gqoU/yFQPtszpQ2bzSNVJnrY4M0xpwqta6jJkZKmqZwLiuXWgbzGsMlfAQ\nxrXqihZUywxP1Awhj4yx/J1ZPrzBYgAZkzFykbVwS60Gff9QgvaMZql9Kbx11t7FPXUlMAjsUQcc\nNjapZG9UlrbSWP3J4XDal/ONFNVng/g1190oUwVaLV9W0Sb17Y1FFGz+ODM2qWR3795t087MEgH5\nagXSEiNtWp/D4bSO9xPUOPu72vtUsBzvTgh1dEqcDiYj4R5o1T6/T17hgwMdOHlFt+2SbU4lW1Zm\nW7fcOy/f+oSpHA6nZQqVbliYFIVyM93tyunaVCl9sMtBk1c4e0vRVlqlkt22bRu2bt0KDw8P9OrV\nC3/+85/r4wLj3RuH4yh66KsxM02DSJ0ROSovfJIYgiKuEuVwOgRnbynaSotdsm5ubggJCYFMJkNF\nRQW8vLwgk8mQmZmJ5ORkiKKIxYsXIz8/vyPy5XBaxbNpGvT5XSXaR2PEdK4S5XA6jK76DrPFFqZe\nr4fBYMCOHTsAAC+88AIOHDiATz/9FG+//TbUajUOHjyIFStWtDgWk5r9+5pAKzYvm9l1uo8LrXSr\nsTCUpwx/Tp1AK9lYFJvow2lkqCABoIyx7h3utBJUx/A1lTNOL8srVMdQ5J0S2So7OaO85zI8SEMY\nHqTFDI9eV+I0RjVSiUbojMi6yT9W6cY+xyz/1kBGr8rJGlpBea2UFl0oFfQ14C6jj1tLFDLUwMGe\ntNpVwlDJnqplXZN0F7APQ10bLrLHB1Yy1NBShsL2V8kVMjbYEkjGLDYOvXdnKIEBIKuRF/TNBIq0\nMpvlM6tBHhnrJSqZ+XDahk3DSvr06YN//vOfcHWtM/42mUxwd+dGBBznIUflhRhNQ6V5jiuzOZwO\nw9lbirZi87CSG5Xl559/jm3btmHhwoV2S5LDaSubEtX4VS2HSQL8qpZj+YQQR6fE4XQbzBBs/jgz\nLbYwb7BixQpUVlZi/vz58PPzQ0JCAl577TXExMRg48aN9syRw2kzRUo3/PVP3GOUw3EEFief19JW\nbB5WsnTpUjzwwAMYPXp0R+TJ4XCcnN4l1XhlXz4GXjLgbJAcb00IxWVfrkzujnTVLlmbzNd37dqF\nO+64A/v27QMASKVSDBkyBBs2bLBvthwOx2l5ZV8+hvw+AfsQrQGv7MvHnD913GB5jvPQbSvMG+br\nn332GYA6lezhw4eRlJSE2bNnw9PTE9u3b0d2dnaLO6NmOGcpEu+XssUa2SgnY0oJvd0yhoLWyOhO\niJTS68W40uv9WMN+XezGUNGy/DlZjqilAq2u7CHSyWYyPHF9WrgODIxj58dQl9YwVIk6xuTkZYwL\nM0JKr6dhnH8AyKilL40ShidsVS2tknVzo9W+V6/SakZXT3q9TAu7XFVU0GK8UkY+NQx1ui+h2h14\nydBk2U/acM2z3FANDF9XAKgR6HOpEumJ1eWMcs5Swl4SisnYYJFW10pakIXcLg4nY1ehJWNShvr4\nslBExgIYXrqctmOzSvaPf/wjAMBisUCr1SI2Nta+mXI4HKfmbJC8voUJNPWz5XQfumoL85bM1zdv\n3oy7774bRUVFuO++++yWJIfDcX7enRBa7197Vu2FVQlqR6fEcRBd1bjglszXZ8yYgYMHDyIyMhLL\nli2zW5IcDsf5uezrhr8lReHhBYPxt6QoFHIrwm6LKAo2f5wZm1SyOp0O69atw8yZMyGRSDBgwACc\nPn3apgR89FWYkJaFYJ0BWpUcexIjUKK8NRMEf301pqUVIFxrxAWVF/6RqMZVfvFyOJxOhpfeiOHp\nxxGgK8Z1lT+OJ9wGo9L5TTicvaVoKy22MG+Yrw8dOhRDhw7Fvn37MGPGDHh4eGDKlCmYNGkSnnrq\nKcybN8+mBBLSshGqKYfUIiJUU46JaRdt2s7NTEsrQHSBES4WoL/GiP+XprnlbXI4HE5HMzz9UvQk\nugAAIABJREFUOHpqrkNiEdFDU4S49GOOTqlVdNsu2Rsq2ZMnT+LkyZOIjY3FoUOHMGPGDGzZsgVK\npRJDhw5FWFiYTQmodNYq12Ad7anZWiK01j6ifRr5inI4HE5nIEBnrdb11113UCZto9t2yTanko2O\nrnNQefPNNzFz5kysXbu2VTvLRtOKK1vlaeX5qVHJrYaZ5DKM2QHgSjOWEudVXhhw0zZPBylwscZa\nXh7AMG3XVtFdwkUutk1cI2UMnQHYw0oYo1UQKNDDGCoZk+xcE+ghBX6M56hAkd21/ZtAG0irGMbU\nZyz0UBbGSB4Mk9BF+FAtfUxvHu7QHHqRPgbervSxK75OG6z7+tFDoOS+9ENdDcPQXdqCqT/rBnTp\nui8Z81HQ+XgyjOsrGMNcwhl3G1fG8QaAUob5OjVcDQCCGObj4UJ/MqYVs8iYBvTMTAHwJ2MtoRb6\nNvnOoAqGt6ahh6xYFdBk6ArLmL0Ktk0kwWkem1Wy+/fvh5eXF0aOHAlRtN0HaVOiGnlqBcwSAXlq\nBXYnhtu8rRt8mKDGObUXTBIBJ4IVWPrHsFveJofD4XQ02YkJKFOrYZEIKFL3wPEEehynM+GILtmD\nBw/iscceQ3JyMpKTk+u9AcrLy5GSkoLHHnsMU6dOxfnz523eh01esiaTCV9//TW2bNli845vUKR0\nw6bkfre8nZspVLrh1aQoaGtZbTMOh8NxbqqVSpxLTsIVMcfRqbQJR3StLl26FLt374ZCocD333+P\nFStW4B//+AeWL1+OESNG4IknnkBmZiZefvllfPHFFzbto8UW5vnz5+uHkdxQyZrNZri4uODFF1/E\nrFmzkJWVhdmzZ0On09mUBIfT2QkqqcbaHedRsO1L/OfAEYSU03M/chyPXG/EgK3bMPKdFRiwdRvc\n9CWOTqndUegr8cdPj2Dau1/ij58egVzfcWXSES1Mb29vZGRkAACys7MxcOBAAHUtz0ceeQQAEBMT\nA7lcDo3GNiGoTV6yX3zxBQIDA7Fhwwb06NEDZrMZ/fv3h0qlsikJDqezs2h/Lob+7nIz6qoe7/98\nBg+NG+HgrDgUI9N/hY+mTlDjo9EiKm0fziX/ycFZtS/3pmUgUFP3IBCo0eOO9DPYn9QxZdKeLcyv\nvvoKn3zyCYSbrDb79euHFStWYMaMGZDJZIiIiMDq1asB1LnR3ZiOEqirw4qLi6FWt91YwyYv2R9/\n/BFarRavvvoqn62EwwEQe8laJHPbta7XYulK9NDprZYVuksOysR+9NJZu/f21HVcmRRb8Gq+FcaO\nHYuxY8dafVdeXo6nn34amzdvRmRkJNLS0vDcc89h69atcHNzQ21tLWSyOvFcUVER/P1tE2fZrJL9\n9ttvcfnyZaxbtw6+vr5YsGABgoODmdu6T4xo9vsjElp1xjLebomhrrQS9jcT3RsdwFABFtfQ70Up\nU2oAqG3hiSvQRvXtNZHepyvD7FzKmKg1SlQw1mP34se0oAamCGeoXVnm/L9Z6N8fwijdlS2k6SOl\nVZnXmzFY/7W3HHE3DZE62VsBBUP52hZcGeXYUMGy3wd8vWmVuQejvJpaMHWnGMA85vRBNwj08QYA\nlUj/TjlDfa0nVPaXVd5QaRoqlGKVP4rEhm46d9BK+R7oTcbcBLapQLVIn4+DOEjG/OBJxrzE5nO9\nplIiUNMwLOWKygeVDHV8Z+bq1asQRbF+eGN8fDxWrVoFALjnnnuwa9cuPPbYY8jJyYHRaGyxrqJo\ntehn3rx5OHz4MJ555hlEREQgKioKgwcPxvDhw3H06FHMmzcPO3bssCkJDqezs2R8OJZ8mYtBlw04\nGajAwnv5tFbOzNeJfTEh7SL8dEUoVgXgVMJIR6fU7hxOGISR6afQS1eKQpUPvklsX3Eli44W/URG\nRmLs2LF46KGHoFAoYDKZ6l8jpqSkYMGCBdi9ezcEQcBbb71l835sUsn6+fnhmWeeqY/Fx8dzwQ+n\nW6PzdcezU/vBwJj6i+M8lCk9cDhpbMt/2IkxKD2xJ3mYQ/btCJXszJkzMXPmzCbfe3t7Y926de2y\nD5tUsmVlZfjoo49w5coVAMCZM2cQFBTULglxOBwOp3MjWgSbP86MTSrZ3bt34+TJk3jooYdQU1MD\niUSCWbNm2T1ZDofD4Tg/zm5xZys2qWQPHTqEnJwcLFiwABMnToTJZEJhYaHdk+VwOByO8+PsLUVb\nsVklu2bNGkyfPh3Tpk2DXC7HokWLWtzZMUlBs9/3IFReABAusN16vhT1ZOwSQ5UXxVClFjMUlNUu\ntJqPpXQ1tqDKrGHEXRllj6WtHWOhu8lVoMcgnRUyyJiHyD4fPgKtamatK2V4iZpBbzOQ4V17CrQi\nsaqFJ+ARUvrS2G+iT9ZwnzI6H4MXGXNnKFbNDMVqD6V9hgrIGF67LMV3DUPRLBfo36ES6WMDAHLG\nPaJYoNXIo0CLeaoZ5UMhCSRjVWIpGbsssmdb6iHQ6swwsQcZKxLofQaL9HV+AfS1zGk7NnvJarVa\nSCQSbNmyBUlJSViwYIE98+RwOBxOZ0EUbP84Ma2uMFesWIGvv/4aJ06cwBdffAFvb29MnDgRADB6\n9GiukuVwOBwOAEC02P5xZmxSyZaXl2PMmDHYv38/AOD06dPo3ZsezMvhcDic7kO3nQ+zOZXs9u3b\nMWfOHBw4cACvvfYazGYzrzA5HA6HwEtvQFz6MfjrilGm6o0LifehSunj6LTsR3cV/TSnkj1+/Di2\nb99e/zdvvPEGbr/9dvtlyeFwOJ2YuPRj6KEpAgD4anTok/Y/nE5+xMFZ2Q9nbynais0q2Rvk5eUh\nNze3VSrZGkLteFRkeW7a7sepltAn7ZCRVt2N8qwiY8UCrQJk6UdjBLYDTKVAqxINDC3sSIYSloWU\nkW0c6ElqLYw8AcAgFpMxpUDPZsNSHhpBx3xFesqiSoY/qZ+E7cF6CLT6OpxxossYamephH5BI2GU\nqxoTfZleNbLVpf19aRVtFUN968nIVcrYX5ToTcZqGOX4Gmi1MwCEgFat9sMQep8ivd0ebrQLjslM\nHzc/1xgy5l0b2uz3Abr/WC376C7DS9LTertmWrVbw/CM9hXoY+ODzjWPprNjs0r2BuvWrWvWjojD\n4XA4dRiDw62WDcEhDsqkg7DcwseJsUkle0MEVFhYiMzMTMTHx9stQQ6Hw+nsFEx8DIaQSIgSCcpD\nwpD3wBRHp2RfLILtHyemxS7Z8+fP4/z585g0aZKVlywAfP7553jggQfsniSHw+F0ZmqUAcieMRtm\nC7vruavA8Izp1NjsJXvw4EF89NFHiI6OxnfffYfFixcjKiqKua333j6J3GA5tieG4LqSz+oAAEp9\nFSal5UKtK0d+sByfJYahmB+bW8ZLb8T09N8QrDNAq5JjT2IESpT0e+uuhrqsEu9+k4m4wlKcV3nh\n/QQ1Cnm54nQUTt5StJUWu2RvqGRPnjyJkydPIjY2Fj/88AOWLl2KQ4cOYefOnXj22WeRmpra4s6k\nFiCqwIDH05q3yOuOTErLRZimHFILEFFgwKNpeY5OqUswPP04QjXlkFpEhGrKMTGNbVnW1Xj3m0yM\nuFwKFwswUGPE3HRNyytxOO1FF32HaZNKtk+fPvD29kZGRgbi4+ORnZ2N2NjYVu80XGtED7HhaddD\nQqsZ5SI7xeMMFZyB0S8wzoueefyHahkZ+4Mbvc1AkZ5t/UtL8x6jr+rKrZZDtcYm3rrDxAByuyyP\nyQFifzLGmhm+XLxGxnq49CVjAKCUDiRjZks5GQNdBODvOpiMVZuuNvt9gG6P1bJaZ8BIsaGM1rSg\nyixmeNR6CHSZzGX4mnp50tu8WENLb0O9aX/aUnPzmtW4Quty0VdnRHmjv2X5KQcyVNTFAq3YZFjJ\nIkLsRe9PaF5deoMryCdjclkYGZNIFXTMjfZuNRlolay59joZs4j0fQUAahjXgAn0ugrQ1+sJHCVj\n1wRa8c9pOzarZFesWIEXX3wR9957Lw4fPoynn3661TvVquiT393IUFkPC7ikoi9wTutprEIsUdE3\n667I2SA5c5nDsSvcS7ZBJfvJJ59g4cKF2Lx5M7755htMmjQJzz33XIvbMEsE5KsVSEuMvKWkuxJ/\nTwjBGbUXzBIBGrU3/psY3fJKnBbJe2AyitWBsEgEFKsDcS5hjKNT6lDenRCKU8FymCTAqWA53p3A\nbsFxOO1Kd+2SbU4lW11dDVEUERYWBgCIj4/HqlWrWtzZOy+PuOWEuxpXfN2w4Ilo3CNhD0DntI1q\npR+OJSU6Og2HcdnXDXP/1MfRaXC6K05e8dlKq1Sy27Ztw9atW+Hh4YFevXrhzTffhCiKeOihh6BQ\nKGAymepVtBwOh8PpGDz1BkxOP4lAXRmuqLzxdWJflCnZLlYdQhetMFvsknVzc0NISAhkMhkqKirg\n5eUFmUyGuLg4eHh4wGQyISgoCMOG0TZTHA6Hw2l/4tJ/gUpTCqlFhEpTij+knXd0SnWIt/BxYlps\nYer1ehgMBuzYsQNAnfn6gQMH8P7772Pz5s0IDAzExx9/jPXr1yMlJYW5rWKheRVYqUir9WoE9qNK\nf4aa7xcLreaTS+ntDnCl87nCOKEeqCZjkVL2y+xixrpy0Mq6EZI/kLFqC63083DpScYUUtorU/Bh\nd/NZXOixji4W+rh6FZ8gYxKGD6+HaxgZu15JDyXxF9jWZHeDVlAew3EyJgV9ngMFOhbiRpdHD5H+\n/T+wFKsAIhjlPAr0a4ACgfbovd0STMZkoBXmoZIB9HoSttitH0N9LTI8agUXWuxkqbpCxiRhD5Ex\nlyu/kjGpifaDBQBXVzUZEyvp31EsNj/fsJ+uyGo5UFcG803NO1ex1TIVTito8Wg2N6ykR48e8PDw\nQGBgnenv+PHjcejQIftmyuFwOBwr9CrrB7vLKtr8vkPpotZ4Ng0riYuLQ0VFBXJy6pzw9+7di4oK\n+omUw+FwOO3PrwkjoVX7wCwRoFX74ECikwi9LKLtHyemxS7ZG6xYsQKVlZWYP38+/Pz8sHLlSixb\ntgwAcP/99/MJpDkcDqeDqVAqsCuZNvZwFC28Seu02Gy+LpFIsHnzZgDAhg0bkJjY/hL+AH01nk3X\nIkxrQF6wHDsSQ7nPKqdT4q+vRlJaAcK1Bu6n3Ag3vR6Raf+CXJsPQ3Ao8h98BDVKf0enxbkVnLuh\naDMtdsmGh4fjxIkTePjhh3HPPffg888/x6OPPorPPvsMw4YNw2233YZdu3bh3nvvbffknkzTILLA\nAKkFiCww4LE02h6Lw3FmnkgrQNTvZZn7KVsTkbYXioJcCBYLFAW5CP2/zx2dEudW6a7GBW5ubli6\ndCnOnj2Lbdu2QavVwt3dHUeOHMH27dsRExOD7du344MPPsCiRYuY26J8YV2F5uvtKJ31e9EwrQGV\njY6omTFTvSsjVsx4AoqBbU/+NYyzHWdhW7OZGetGC7QnrKcnrR70dPOj91dOy88FBe3EZJF5kjEA\nkFQzvDK9aWWuqBhLb7O8mN6h/hwZUssTyBjLDxQAymoukLErDAUpdZ4jtaeslsO1RqvrwQPNe8IC\ngJyhBL+N4QcLAGaGapfVChhjoZ2BggV6VqISkVaellqaj8m1mkbL+XBppJqVuNItTksNfS4FKWNM\nIkNBCwndlhDNtCewIPOht9kCbhJfMiZn7NMVl8mYCtxqsz1pleinuroa77zzDubNmwcAyM3NhY+P\nD2Ji6oYfTJkyBd999127J5cfbC17vxjM3XA4nZOrKuubYQH3U66nsc+vUR3hoEw47UYXbWG2qsJc\nvnw5pk+fDj8/P4iiiNLSUvTo0SBnlslksFja/5fuTAxHVogXzBIgK8QLWxLZY+c4HGflUEIsctUK\nmCUCctUK/CcxzNEpOQ3nEsbAEBoFUSKBITQK2onTHJ0S51bprirZQ4cOoaysDOPGjav/zt/fH0VF\nDQNma2pqIJPRA5ZtRa90w9+TuRk5p/NjUHpiYzJ7arTuSqXSGxdnvODoNDjtSLdVyX733XcoLi7G\n7NmzIYoisrKysGrVKlRWViIrKwvR0dHYs2cP7rzzzo7I1+701FfjybSLUOsM0Kjk2J0YDr2Sdq/h\ncDgcTiMYcxF3ZlqsMG8W8qxZswZHjhxBamoq9u7dixkzZqCkpATDhw/H6tWr7ZpoR/H/0jQI09RN\nAhymKcektFxsSu7n4Kw4HA6nE9FFW5itdvo5e/YsdDod+vevU2z27dsXO3bsQFxcHBYvXgyFomuo\nsfrojFbLah3bG5LD4XA43YNWOf3cUMmuWrUKzz//PAAgOrru3aLYDk3vX80mMtbSPJHHQVdoIwVa\nUp6L5mXaOSovxGgaKs0LKk9k32SMPgS0ulHOGI5yTaCHWwDAAJEeyiED/TtYknopQ1JvCaWHcbAE\nXMZQemgIAEgr6HMpraaNwt2uF5ExUUIPuagNv5veZpGGjEk92MN83IqvkrHx5tvo9QS6fAQwhlyc\nFXLJmFKkt2luYYR4DcOY3INx+bNM1DPFM2QsVjKKjEkZJvoQ6HMMACLD1Jw15KQmgL6upJX0NelS\nRpdHMCaLgGcLw8f0p8gYa7IEPQrJmEqk93lcyGHmYy8EJxfv2EqbVbICY8aFrsCmRDUy1F4wSYAM\ntRfWJ9KzC3A4HA6nGUTR9o8T02aVbHu0KJ2ZIqUb3kimB2ZzOBwOpwW6aAvTJpXs/PnzkZqa2hH5\ncTgcTqdHVqSDavub8Mw9DaM6AtqJ01CjDLDrPj31BjyZnuEQxX+37ZJdtGgRNm7ciA8//BD9+/eH\nyWRCamoqMjMzkZycjIyMDLz00kvIz+c+rxwOh9Mcqu1vwivnFASLBfL8bATv2WL3fQ5J/xlhmnJI\nLWK94r/D6KJdsjarZJcuXYq33noLx44dw+zZs7FixQq7JcnhcDidGc9ca6GUl+ai3ffpp7MWLnHF\n/61js0p206ZNcHWtM4U2mUxwd2+5qe+H5v9mmIR+qmCp/AAwNKvAcZE2LPZjaJfuAK26uwYjGesl\n0sbLA4RB9A4BmFFDxhRuMfR6Zob6Vh5IhmrltPrYpYI+biwVLACYfGh1pYmhvKxVqOh8jPSxcbvO\nMGavpJWFLakyKy20+thXShuTF5hpFWQtaJVwjBhMxo4zFLThopKMAYBOKCVjapFhzs+47sIQTsbK\nCYN1AJAyTOT9Xdjqa8GTLh9mOb2utIq+XkUXOh+LO319SMvo9WCqavbrirAB8Lp4umE5pC+krtZ5\nC7W0qtsXdPftSaF51fIllQLBmrL6ZZ1KwVRGtyvdtUsWaF4le6Oy/Pzzz7Ft2zYsXLjQfllyOBxO\nJ0Y39SUYIwZBlEhhDOsP3cOz7L7PLxP7oEDtDbNEQIHaG+mJHShm5F6y1irZ2tpavPbaa4iJicHG\njRvtmyWHw+F0Ymr9g5D3l/eBakaPSDtTqvTAtmR6+j97Ijj5u0hbsVkl6+7ujgceeACjR49u9c5m\nv/MDLqu8cSCxD8qUjHnqOE6J69UCRC5fCPn5ozD0jUfO86tRHRjW4npul3LR552/QHH2CMoHjsCF\nl9eiOoju1uM4DrneiJHpv6KHTo8ilR9+SYiDUdm9ptVzvaZB8NbX4JVzEsbIodA8+TZqevDx2G3C\nyVuKtmKTSvb111/Hnj17MGfOHMTFxSE+Ph7PPfdcizuTWkQEa0oxLo2enJfjvIR8PB/e5w5DYjbB\n+9xhRH4wp1Xr9XnnL/D59UdIzCb4/Poj+rzzFztnyrGVkem/opemGBKLiJ6a6xieftzRKXU4wVte\nhfzCLxDMJsgv/AL1Jv66qc2IFts/Tkyr3wDfrJL19PREUlISZs+eDU9PT2zfvh3Z2dmt3mlvXVnL\nf8RxOuTZJ6yXzx9t1XqKs0eYyxznoYdOb7UcoOu4LkRnwSvnVKPlkw7KhONs2KySfemllwDU+Y5q\ntVrExsa2eqeXVQorD0yzQDffMxlKVwDwE+hGsplhmc/a6n6RVkiGSOj9eYBWJBpxmowBwDAJ3bVd\nUUOrJL3kcWRMNNvm3WoIa16RWNY/Hj5nDtcvlw8YAbOXdRESapuey/IBI+Bz+seG7fe5DW5XrNWL\ntT60yprlQWt2p7v2a6JuJ2MehVoyBgDyyt50PoInGZOZaSWwG6ESB4AsIY+M9WB4CZcK7OtDCloO\nrkRTlaxe1RP+mgZ18TWVsom6t5Lh36xyGUrGXN3obk2zifZRBQDRlZ7cQVpFP4DX+tA+q9KK5hXm\nxojBkGc3tKyNUcMgSm8q5960P63FheGXC8Bc9isZ04s6MubGKAOVDPV1jaOmDemuXbIA7SW7efNm\n3H333SgqKsJ9993X4nbMEgFatTe+TOxje8Ych5H9whqUDrodFqkLSgfdjqz5a1q1Xta8hvXK+o1E\n3p/ft3OmHFs5nTAa19W9YJEIKFT74eeEwY5OqcPRJr8OQ0w8RKkLDDHxKHjqXUen1Pnorl2yLC/Z\nGTNmYPr06fjoo4+wbNkyvP3228xtffDyHbeYLseRVPcOw9m/72v7ekHhOLtyH1yvV9ghK057UqlU\n4EjSeOjR/bpib1AbEIzsl7c7Oo1OTbe1xrtZJTtr1ixkZWVhzpw5+Mc//gGLxQJBEDBgwACUl7On\nr+J0ftwu52HgXydg1H3+GPjXCXC71NBV7HYpty423h8DX2gm9sIExP1JjZglk+FW2HobRbfLeeiz\n9GEMSw5Dn6UPw7UN63I4nR0PfTlGfPol7nn3Iwz79P/gru8k+o8u2sK0SSW7evVquLu7Y8qUKZg0\naRKeeuopzJs3ryPy5TiQqJWz4HP6d7Xr6R8Rndow+Do6tVFsxU2xFQ0x74yfEbZubpv2qTh/BILZ\nBMX5Iwhb/0K7/iYOx5kZlH4Y/ppCSCwWKDWX0T/9O0en1Dq6qHGBzV6yM2bMwJYtW6BUKjF06FCE\nhYXZK0eOk6D4zVoVqzh3pNl/txSTXzhm8z7lWd1vmAOn+6LUWU9k7qNj2D1y7I7NKlkAePPNNzFz\n5kysXbu2VTsrRvM+iyyKLOwJq/0YlqAGxsNKiYV+VrjNhd5otoVWpEkl9Du6Oy206hIAahm63Usi\nbdTcv4Y2ABAstAer1L0HY72gZr839IuH99nDVsuSSnOzsbLBI2D2l9T/2/fEj1brmbys1YRm3+aL\nYvmgEfA52bCuMWoYpNXV9cs13rSbsIuRPqaSiqtkDABcZc0fAwAorqIrbVeGmlEKRrkS6Fcawxll\np5DhFQsABoH2/v0f4UEKAPda+pIxCeN3lJroLnPaaRlwkfoyooDFlT6uAkOZzPJMrvallbdeBbQy\nXWTkIrmeQcYAQOJKlytVM7fjiuDDkBc0DNkrUwU2Of5hIu0zqxEc9C7aybtWbcVmlez+/fvh5eWF\nkSNHdvlJpTl1ZP/1Q5QNHF2ndh04GtlzP2yIzf095uKCkmG348Lr6+pjF15fh5Jhtze7XktcWLSO\nKxY53RbNxCdgCImCRSJBiToIGQn3tHrdGlGGQlMsNKZRKDTFwiQyTOPbGwe8wzxz5gyWLl2KkSNH\nIjfX+oFn69atmD59Op566imsXLmy/vuVK1fi0UcfxeTJk7F3794W92GTSvbatWvYtGkTtmyx/5xu\nHOehuncYzr2T1nwssC5Wq2r6tF8VHI7TG/dDpqNb5xRVqnCuWOR0W2qUAciZ8TyKa9kt18acMw1B\nhnmw1QxBF01/QLDLz1C7/NzeaTZBdMC7SHd3dzz55JNNTHSOHTuGzMxMfPLJJwCAgoICAMDevXuR\nn5+Pzz77DAaDAVOnTsWoUaMQEEC32G1Syd59991wcXHBiy++WP/d7NmzodPRA285HA6HY3/OmYbg\njPm2JtPpWeCKAtMYaEwj7Z+EA1qY0dHRUKvVTXo89+7di8jISDz77LNITk7GpUuXANTVbVOnTgUA\nyOVy/PGPf8TBgweZ+2ixhblo0aL6f69ZswZHjhzBuXPn8MUXX2DDhg3o0aMHzGYz+vfvD5WKnrOO\nQqmvwuT0XIRqjcgP9sLOxHDolWy3DAAILKnGX9ML0F9nRG6wHNsTQ3C9FetxbMftch6i/j4b8oyj\nMPSLR/bcD+vN192u5CHq/dmQnz+KskEjcOH1dagKrnu/6q7NRZ/Ff4b3r0earMcB3PVlSNmXhQit\nAReD5fgXL8v1yIqvIXjPJnhpLsIYOQTaacu4ETqDGlGGDDPbbEJrGone0hNwEWiNwy1jx3eYX331\nFT755BMrE51+/fqRU0xevnwZoihiw4YNuHr1KqZNm4adO3eipKTEqjUZEBCA69dplzfARi9ZANBq\ntXj11VfbNFtJczyUlodwTZ3VVkSBAVPScvFRMi04uMFf0wsQq6mzV4sqMODxtAJ8mBx9S7lw2ET9\nfXa9sMf77GFEvT+7vos26v2GmO+JH9Fn8Z9xeuN+AECfxX+uF/00Xo8D9E//Dsrfr4HoAgOeSCvA\nKl6WAQDBezZBnl83WYM86xiCt7yKiy9udmxSTozGEs6cqB2oa2leN8eglwst+nJmxo4di7Fjx7b6\n7xUKBRISEiAIAnr16oWYmBjk5+c3qSCLiopabPS1WSU7d27dGDqdTofLly9j3bp18PX1xYIFCxAc\nTM8aDwAezajrQnTWvpQhWgOuiQ3vunoRncb9dNZepGFaA3Is1k81tHMncK2GfgFe6lJNxqQM0W64\nSKvuSsAecEw7XgKeoL1LBR/aZtDkqSRjFjf66Ehqm386lGc0GlaScRSuJYb6f9+M969H4JZXWf/v\nxttxqWz0dEtb26K8T08y5q6lfU3dtLRptrmG/SRZWashY1Uivc8S0NuVETcyH90Vq+UIrREqsUGJ\nWSbQ6utsGMkYAPgxLnEfkb6xHpRkkrGJ4hgyxlLQlptp/94Ar37Nfu+lybFezjkJyVXr8yr6DSC3\nyxrX16QM3ryaG62uFcy08lhwoVXbACC60ApbvfEQGasFnevNSumiVo4ULIIbTC34EN/5VEZ0AAAf\nN0lEQVQSFvu1MNvK3Xffjf3792PEiBEoLS1FTk4OQkNDce+992Lnzp0YNWoUKisrceDAAfzzn/9k\nbqvNKtkbREVFYfLkydi6dSuSk5NtNi7QqqwLWI6qdXPvZTf6u/OtXI9jO4a+w62Xo+Oa/TcAGGKG\nN/tvoM58ndNAscpaZKBT0Q9e3Y2KUOuKtEId5aBMOgeuLTxA3UDKGMbUHoiixebPrXJzVy0AJCYm\nQqFQICkpCc888wxeeOEFKBQKjB8/Hj179sTDDz+MadOmYebMmUzBD3ALXrLPPPNM/d/Ex8fbLPhJ\nS4zE2LQsROqMyFF5YVNi695P/DNRjafSNIjSGXFe5YX3E/h7DXtzMWU1Iv8+C/Ks4zBExyHvuRX1\nsbznViBswzx4ZR2HIWY4Ls75oGG9OR8gYvXzkGf+AkOf25A364PmNt9tOZ4wHP3SD0GlK4dOpUB6\nIq8UbnBpylwE7XwfnvkZqFBHQTu55Xl3uzM9pReQbboHZtA9aAJq4CX9zb6JOHAcZuPRG4Ig4IUX\nmncIW7BgQZu23WKFebNKVhRFZGVlYf78+YiJiUFiYiICAwNx5swZBAXRA3JZlCjdkZrc9hvENaUb\n3k2OQhEfAtphVAeG4cKiz5uN1fQMxYVFn8Pk1bSrtzowDBlv7oHE5DzdNM5EhVKObckDHZ2GU1Lr\n3xv5M9+Fpab7msG3BRehBiEuR5Froie68HE5BIk9BT9AlzUuaJNKFgCmTZuG1NRU/Pzzz5gzZw7c\n3Nwgk8mwfPlyuyXZ2fHWV+KPaWfQS1eCQpUvfkgYgHIl/V7SWXG7ktekhVnTMxQA4Ho1v0kL82YF\nbeMWZnWvuvXcCvMRtuZ5yC8c4wpaTofhVpiP8LXPN5TlmStR83uZ7OyEudRpBgpM8VYtTQE18HE5\nBF/ZD3bPoT26Vp2RVnvJAnXDSm50yQ4bNgwDBw6Ei4sLLBYLzp07Z5cEuwLj0i6gt0YPiUVEb40e\nd6Z3zmMVsWqOtRH6hob31mEb5kFx/kidwfpvPyFidYOFYsTq5+H9208N5utrGmJha56Hd8bPdbHf\nFbQcjr0JWze3S5v6h7kcwWi39fCX7YGvyzfwl+2B2v29DqksuzJtHlZy44Xqxx9/jCFDhmDx4sUw\nmUwoLGzZFLhUIJxeGN2qpS10uRoZnrD51fRYNj9Xukvit1p6m4EuZjKWKTSvhO2ts/b77KUrgazR\noWf5xQYJEWTs+tXPyJhcSnuQynqNI2MUivO/WC17ZR2Hxc21/t9W+878BTU9Per/bRW7cAzVPT3r\n/20VyzgKi7u10lJx3lpFaoWEPleinFZtW4poxSYAXLFcIGPuoAVmVwU9GStleCmfYXgJezCEHCrG\nuyoAOGGm3ZUGSmlFK0tBe0Wk/WKrQCvMVaB1Buaqy2QMAETQ1520qoSMuZY3f64UjcvdheNwLW3o\n9rXI6HuH5NppMmYys8U0Uu/+ZMzfjR4/WV5Dl8dKEOdYqIWnS4OiWAQYR7Gd6c4tzBvDSm5Wwu7f\nvx8mkwnTpk1DSkpKE2USp4GLwdYX7VUVPdzDmTFEDbNevknt2lj5Wh47otl/A0D5wBHN/hsAygdY\nL3M49sAYObTRMnuwP6dtOFIla09sHlai1WohkUiwZcsWJCUltVlt1J3YkhiCK2o/WCQCrqj9cDhh\nkKNTsomCZ1JR1m9knYl6v5FWate8WR/Ux0qH3I4Lr9xkvv7KOpQOqTNfLx18Oy683DC7zYWX16J0\n8O+xQbcja96aDv1NnO6J5sm3YYiOgyhxgSE6DtrkZY5OqUvRVSvMNg8ruYG3tzcmTpwIABg9enQT\ncRCngetKN/wvqQP8G+1MTc8QZC7d3WysulcoMpfuRlVQ0y6wKlU4Tq/ZD8HUtH+9OigcZ1b9F0It\nlztzOo6aHmrkvrDJ0Wl0XZy84rOVNg8ruXDhAubPn48xY8Zg//79mDBhAk6fPo3evdnzPQLA228f\nR36wHJ8lhqGYe2VyOJxOhus1DUI2LoVnQRYqQqKhnTwTtX4sn67uibO3FG2lxS7ZRYsWYePGjfjw\nww/Rv39/mM1mLF68GFlZWVi2bBluu+02TJ8+HXo9LXa4gdRS5xf7aFpee+TO4XA4HYp600J45Z2H\nYDHDK+88gr9Y7+iUOB1Im1Wy/fr1g1wux/btDXMUvvHGG7j99ttbvdPQRv6fUtCCISlLQgtAJtBx\nVymtCcu57kfGYnvQxqbnK2kP1hEetEIwQ3KVjAFAjIW2ZCpkqBKjZHeRMRd3hrdvKa3KlZlpNaPA\nyBMAZBdoRadZRisvBYb3pOs1WiFoqqLVrhaRPv+aWvacgOWg1Y65Au1qZWaU1wKGSlZvoa8BjZlW\ns55vYfJ2D4b5cSXoY54t0rlWSmif3UCRHl+sYqTK8u4FAA8Zw8mrlvb2dbnKcLRxo+8BUlPzqmWv\n7BNWy54F2RCVDZNFSKtbsJyrpEcTCBK6161MvEbGYhFOxkoF+tqxJ922hQlYq2QbzzWWl5eH3Nxc\n3HNP62cCzw9mGxRzOByOM1IRaj0sxBjROQV89qarin7arJJtPHxk3bp1mDlzZqt2ZpYAF0Pq3mFy\nOBxOZ+PSIy/AEDWsTl0bNQzapCWOTskp6aoVps3m6wBQWFiIzMxMxMfHt2pnCxfGtfxHHA6H46TU\n+vdG7tyPHZ2G0yMyuvs7Mzabr6empuLzzz/HAw880BF5cjoIWXEhVP98E565p1ERPgjaP72K2gD2\npKqc7kMvfTWe3ZeDUK0R+cFe2JkYDj1XvDslnnoD/t++TIRqDR0+OsHZW4q20maVrMlkQmpqKg4e\nPIiPPvoI//3vf5GcnIzs7OyOyJdjZ1S71sAr52SdCjDnJIK38QHdnAZmp2sQUWCA1CIiosCAKWm5\njk6JQzAk/effzxUfndBetFkl279/3UvvpUuX4tChQ1AoFPj++++RmpqK9eu5xLqz41mQab2cS/tm\ncrofMTprFXSotnUTFnM6Hj+dtdq/8egEe9JVW5itqjBvqGRXrVqFuXPnAqhz+snIyEB8fDyys7MR\nGxtrcxIM5TuqWjCA0VbQMvZeHrShdRHDRL2CYehuYsS+K6PVv/f5sG8sRyW0wXicpScZK6z9lYz5\nW2iJu4WwYS4PVsO7IK9+uSK0HySVDReeaxV7vG1FKF0OpNW04b2slB7KY/Ggh7IYyg6SMRfBg4x5\ngK3UPivQLadigR4+dNZsW7nKukr/RomUvvn08i0lYwBQwrg+SmS0Mbs/EftNJccgTcONN7+RT3KA\n6E1u8xroMi6x0ENnAMBLRpcrsZY+BoJ7IL1RM10eLR7+ZExScZ3eppRthl9TlUevKqHPVQ1jSJIL\nmh+upVf1hL+mYRjLeZUXsi0mZn7tRVetMG32kl2xYgVefPFF3HvvvTh8+DCefvppuyXJ6TjyHpgM\nY/hAiBIpjOEDcWnKXEenxHEiUieE4GKIHGaJgIshcuxMpMcAchzL6YTROKf2gkkCnFN74cMExljW\ndsYC0eaPM2OTl2x5eTkWLlyIzZs3IzIyEmlpaXjuueewdetWuybLsT/VSj/kz3zX0WlwnJQrvm74\nKLlvy3/IcTiVSgVeTYpyyL67agvTJi/ZV155BaIoIiwsDAAQHx+PVatW2ZSAn74az6blIkJrxMVg\nL2xJDMF1Oyq5epdU46V9BeivM+JEL2/Mu7sfNN501117EFxahZT/y0KE1oCLwXL8y86/kdO56F1S\njbf/+wtuu1qCYz198cIdA1CgoLvnOHXIiguh2rUGngWZqFBHQTv5OdT60a8vuiKeegOGph+FUncV\nelVPnE4YjUqlwtFpddkK0yaV7OrVq9G3b1/ExcUhLi4ODz74oM2zlTyalofoAiOkFiC6wIhpaQU2\nbae1vLSvAIM1BsgsIkZcLsWK7zLsuj8AePvrC4j+Xa0WXWDAE3b+jZzOxYJ9+RhVqIdMFDGqUI+V\nh845OqVOgWrXGnjl/Van6M7PRPAXGxydUoczJP1n+GsKIbGI8NcUYlD6YUen1KVp1TtMoKlK9pdf\nfsH+/ftx/PhxPPPMMzh16pRNCTRWbkXYWXU3QGe9v2GFZXbdHwAMvWItvonoQLUax/kZeMm6PNx2\ntcRBmXQumii6Nd1vaFtjJaxSx/as7igst/CfM2OTSra4uBju7u4IDKxToI0fPx4vvvgiUlJSmNtp\nzmQ9P1iOiIKGG0aGygs6S8OLX7PIkNACqKqlDb0vVjft9jzeywcjLjeo6k70aqrq05TTXRpebrRC\nUkIYwZ8KVGD4pYaK+VSQAj9VWR/6WDdasVcq0GrfKzhLxkYyTLt7uNIzzNdW0MbsUhdfMgYA7he+\nIWOCC61MZZmoi6CVfZTaFwDOWH4iY9mSYjIGAHKRvjROmuiLutRMl0djTfOxk4HeVuXjdJAcvfwa\nKs3CYvqY6xkq2JagyisAVLnQx/yEmY4VS+jzGAJ64gJPhmk7APhU5TT5zhAcAkVBg5q5XBWE8ipr\ns3VvT9p0w+JOH1dJFf3QIljoa7XGQF+PAODqEUkHBfp6VVuad0kzBh+BoqDhei1VBcINDa+YJsEx\npiPdtksWaKqS9fPzQ2VlJXJy6grx3r17UVFRYVMCOxPDcfZ3JddZtRdW2VnJNe/ufjjS2we1EgFH\nevtg3t397Lo/AHhlbDSOBytgkgg4HqzA0vFhdt8np/OwaFwUjqsUqJUIOK5SYMl4rjxtDfkPPoLy\nkHBYJBKUqdXITkxwdEodTsGDU6FX94ZFIoFe3Ru/Jdzt6JQAcJVsEy/Z9957D8uW1bnA3H///a2a\nQLo59Eo3/K0DlVwabw9MfXBYh+0PALQ+7pg5lSsLOc2j9XHHs1Pt/+DW1ahR+iNr+v9Dtbn7dmHX\nKP1xIulBR6fRBEsXbWHa7CX71FNPYfPmzQCADRs2IDExscWdvfH28Tb5T/bSV2NOugb9dEZkqLzw\n94QQXPF1TnWpqrQKS7+8iCFXynEqUIFXxkZD60N3Qd0qPvpKjE+7gN66cmhVcqQlRqJEeev7c9UX\nIXj3FnhpL8IYHAHNxCdQo2TPgWlPXPVFUO/5FF7aXBiDw1Ew8TGH5eOrr0JiWg4W6Mrxm0qO1AnO\nWx5tJbi0Cm8cyMbQK2U4GyTHWxNCcdnOv9FXX4XRaV/BT1eEYlUATiWMRIXy1qYAdNPrEZWWDoVu\nOSrCBkA39SXU+ge1U8bti6z4ClQ7V9epfUP7QjfledT6MQwXWom7vgz3pf+Mnjo9rqqUOJwwCAZl\nx6ivRSdvKdpKm1Sya9asQZ8+fZCamopvvvkGjzzyCJ588klUVlZi4sSJLe6srf6TKekaxGqMcLEA\nsRoj/pruvOrSZf/LwfBLZZBZRAy/VIa3vsqy6/7Gp11AsKYMUouIUE05EtOavuOxheA9WyAvyIZg\nsUBekA31nn+1y3ZtRb3nX5AX5PyeTw5C9uxwWC6JaTkI1ZTDxQIM0hgwf5/zlkdbeeNANoZfKoOL\nBRiiNeCVffTk5e1FYloOAjTXILGICNBcw5B09uTerSEqLR3eGk2dgvbiaaj+vbwdMrUPqp2rG9S+\nueeg2vlBu2y3f/p3CNQUQ2IREagpxuh0bnN5qwhi4xmh7bq33wU8Li5ALW3LVY9MBphuEhi0dj1H\n0NG52mt/znbMnSkfZ8rFXjjiN9pjn53pXHWXa7kL0LEVJofD4XA4nZRWj8PkcDgcDqc7wytMDofD\n4XBaAa8wORwOh8NpBbzC5HA4HA6nFfAKk8PhcDicVsArTA6Hw+FwWgGvMDkcDofDaQXSJUuWLOmI\nHR04cADr16/Hv//9bxw+fBiiKCIykuHc/zvV1dXYsWMHMjMz0b9/fwi/mx+sXbsWw4YNw4EDByCR\nSKBUKrF7924cPXoUMTExcHFp6vo3f/583Hffffj2228RHh6OqqoqrFq1Chs2bEBWVhaGDh2K3Nxc\nyGQyCIKANWvWYNOmTcjOzkZsbCzee+89xMTEwMvLq8m2KyoqsHXrVlRVVUGtVmPVqlX47LPPEBsb\nC4WibvaTI0eO4N///je++uorXLhwAT179oSPj88tHllOR6DT6eDt3XRmGw4/Niz4seladIhxwbvv\nvosrV65g6tSp6NGjB4qKirBr1y4EBATgpZdeYq7717/+Fb1794bZbEZ1dTVu1O/Tpk1DWFgYDAYD\njEYjRowYgRMnTiAyMhJarRZXr16FIAgQRbH+/1lZWejTpw8AYMuWLXjjjTfg6+uL+++/H99//z3O\nnTsHvV6PlStX4oMPPoC3tzcmTJiAQ4cO4fTp0zh37hx69eqFUaNGYfr06ZDLG/wu586di+DgYFy6\ndAkhISGorKzE8OHDsX37dmzcuBFr167F6dOnMW7cOPzvf/9DbGwsMjIy8OCDD2L8+PF2O/ZtQafT\nQaVyzHRAFOXl5fjggw/w3XffwWKxQCaT4c4778Tzzz9f/yBCkZ+fjxUrVsDd3R0LFy6sn20nJSUF\nf/vb37BhwwbExsbivvvuw7Jly1BeXo558+YhLCysybZmz56NDz/8EGvXrsVf/vIXaLVazJs3Dzqd\nDkFBQVi+fDnOnTuHwYMHQxAELFiwADqdDr1798bSpUsxb948pKSk4J577mmy7ezsbKSmpiI2NhZP\nP/00nnvuORQWFuL111/HqFGjUF1djfXr1+PQoUOoqKhA7969kZiYiIkTJ9p8fJzp2ERGRmLy5Mk2\nHZ9hw4Z1+mMTGhqKffv2tXvZYR0bjm10SIX58MMPY9euXU2+nzp1Kv79738z101KSsKnn34KAHjz\nzTdx11134Y477kBycjKMRiP+85//wGg0Yty4cfj666/h4eGBpKQkjBo1CjqdDvPmzasv8LNmzcKa\nNWswbdo0bNmyxWrbAJCcnAwXFxds2rQJTzzxBP71r39Z5SEIArZs2YL//Oc/+PTTTzFs2DBMmjQJ\nsbGx9X9fVVWFP/zhD/jmm2/g5uZW//2UKVPw2WefQSKRoKamBikpKVi7di2eeuoprF69mlcKRKWw\nf/9+jBkzBlOmTIFMJkNNTQ327NmDb7/9FvPnzyePS3h4OKZNm4ann34aJpMJ27Ztw8aNG+vPs6ur\nK8aOHQutVouioiJERkZiwIAB+Pjjj3HkyBEMGjQIrq6u9bPzNH7YmjNnDpKTkxEfH48zZ85g5cqV\nsFgs2LhxI1JSUpCUlITRo0fj9OnTSE1NhdFoxLBhw5Cbm4uZM2ciPj7eqtw9++yzyM7OxuHDhzFp\n0iTEx8cjJSUFO3bswAsvvID+/ftj/Pjx2Lt3L/z9/VFaWorKykqcP3/epuOzePFipzk2W7duxUMP\nPWTT8QkKCur0x2bTpk2YPn16u5cd1rF5/vnnyd/PoWnVBNK3ikQigdFotOrKrKioQE1N3USs99xz\nD2oJj8Pg4GDU1NTA1dUV8+fPx6xZsxAdHQ1BEODq6goA8PLywujRo+HhUTdxamVlJWbNmoWzZ88i\nJSUF06dPx7hx4+q7c2tqalBTUwO1Wo3CwkL06tULtbW1KC8vh0qlQn5+PgYNGoSsrCxER0dDo9FA\nKpXWt1YffvhhTJo0CV9++SVSU1ORm5uLoKC6mRD0ej2qq6tRVVUFNzc3VFbWTf4sCAIsFkt9hVla\nWgqJRIKqqiq89NJLGDNmDBYsWGB1YS9YsKDFSuHVV1+tv7jnz59ff3Hr9Xq88sorGDt2LLKysvDT\nTz/VX9yvv/46eXFPmzYNAPCXv/wF7777Ll544YX6i3vJkiWwWCy47777kJKSgj//+c/1F/aSJUsg\nCAJ+/PFHfPrpp00u7Ndff73+wp4zZw6mTp1af2GPGjUKCxcuRP/+/fHee+/VX9yFhYU4d+4c1q1b\nV78dV1dXPPLII/jiiy/w+OOPo0+fPmj8zHfjwUYURdx1110AgOLiYmzevBkzZswAABiNRjz++OOw\nWCy4++678c4770AQBKxfvx6bN2/GunXrMHPmTIwcORKA9cMWAJSUlNT/vtjYWNTW1sLFxQUuLi4w\nGAwYPXo0AGDQoEEAALlcjkWLFiEvLw/r1q3DW2+9hQceeKA+vzFjxmDMmDH49NNP62f+ufFa4dKl\nS1i5cmX9eZkxYwY2b95cP/HB448/3ubj40zH5laOT1c4Njf2295lh3VsOLbRIRXmk08+iYcffhjj\nx4+v75L9+uuvMXPmTADA4MGDsWTJEvj6Np0Bfd++ffjTn/6Ebdu2wdXVFW+88QZefvll5OfnIzk5\nGe+//z7mzp2LFStWAAB2796NAQMGAAAGDhyIjRs3Yvny5fjf//5XX3mFh4fj2WefRXl5OdasWYOl\nS5di7dq1eOihhzBu3DgsWbIElZWV2LVrF2JiYlBZWYm33nqrfv5PAJBKpZgwYQImTJiA4uJi7Ny5\nE48//jgMBgPeeOMNvPTSSwgLC6t/upw8eTIef/xxDBs2DL/88guefPJJ5OTkQKVSQafT2XRhd4dK\n4aOPPkJm5v9v7+xCmvrDOP54EVRe2kUEA28i8CovCoIo6MLe3SJtNjcqL3tBAiMHGZV14UUUuZlr\nRG4RSIvNLmQLgl5MV9mKXmj765xghGvStJ21l/by/V/EDjvOczZn6oTf52rbZ8/zO7+Hc/Y7nvPI\n+Y82bdrEz93r9VI6naZ9+/bRiRMnSCYTf+j4t2/fSCaTUX19PWm1WhoaGqKysjIqKyujSCRCa9eu\npaamJv6EJhwO09atW6mqqoquXbtGT58+pXPnzvEnW1NTUzQ0NEQymYyGh4dpy5Yt5Pf7KR6P08aN\nG+nx48dUW1tLNpuN5HI5ORwOqqiooGAwSERElZWV1NHRQT9+/CCLxUJnz56l8vJy4jiO3G43JRIJ\nGhsbo8rKSuI4jp+H3++n9evX8w9tJyIKh8O0evXqnPqMjo7mrY9Go1mW2sjl8pzaZDPf+qxZs2bF\n14bo72+SWH2K3XekasMoEiwR379/R29vL7q7u2GxWBAIBHj35MkTuFwu0diZmRnB+3g8jmfPngEA\ngsGgwLndbsRisZwcAwMDaG9vFx1jdszU1BQ+fvyI8fFxpNNpAMDbt29F4wFgdHQUfr8fAPD+/Xs8\nePAAv3//5r3P54PdbofP5+PnEYlEoFar4fF4cnIplUpcvnwZExMTomOq1WqBb21txeDgIDQaDRoa\nGvjx7927BwBIpVI4dOgQAIDjOLS2tqK9vR2xWAynTp0CAOzZsweDg4PQarX8nCcnJ1FXV4dLly6h\nr68Pjx49gtVqRSqVQn9/P5qbm6HRaATb5vf70dnZiQMHDkCpVCIUCuHNmzfYvn07vF4vkskkamtr\nAQBKpRKTk5MAAK/Xi2PHjgEA9u/fj71796KhoQFnzpzB0aNHoVAo4Ha78enTJ4yMjIjWxuPxoLGx\nEfF4HADw588fXLhwAdXV1Xj58iU6OjoE3+/q6kJPT4/gM7vdjiNHjkClUgEArFYrbt26hfPnz8No\nNAIA7ty5g9evXyMej0Ov1+PgwYOorq7Gzp070dbWhl+/fkGtVotu5/Pnz7Fr1y4oFAp4vV7U19ej\nrq4OBoMBADA8PIzdu3dDoVCgpqYGX758wdevX6HT6eB2uwX1UalUBdVHrDabN28WrU1mH5pvbZxO\np2htMsd2MfXp7u6eV20K3Xc8Hg9UKtWctXnx4kVObW7fvl1UbYxGI5xOJwBI1mehtZHL5aipqcHn\nz5/52jCKY8kWTIY4xR7YQHGLwuyD2+Fw/JMfvmIPbEB8Ubh58yZMJhN6e3vhcrn4kwO9Xo9YLAaz\n2YyHDx/yJ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"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a6cbb5f8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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FWiG4H/TJnmVoXibQ95O+ktimExLDtDopSNn6gyWMtRCjZQcZC2KYyOtltom8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0cn+HtL0VPcdskuXboU77zzDt544w2MGjUKNpsNK1euxI4dO/D222/jP//5D/Ly8lBSMjBm8x7s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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f45a6cccda0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"params = {\n",
" \"col\": list(range(50)),\n",
" \"row\": list(range(50)),\n",
"}\n",
"\n",
"bo = BayesianOptimizer(params)\n",
"checked_points = []\n",
"\n",
"for i, param in enumerate(bo.supply_next_param()): # param is dict\n",
" x = [param['row'], param['col']]\n",
" y = unknown_function(x)\n",
" bo.report(y)\n",
" \n",
" checked_points.append(x)\n",
" \n",
" if i % 20 == 0:\n",
" plot_heatmap(value_space, checked_points)\n",
" sns.plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[(133.3180371984318, [29, 3], {'col': 29, 'row': 3}),\n",
" (130.50108806139116, [30, 4], {'col': 30, 'row': 4}),\n",
" (127.56417273171563, [30, 3], {'col': 30, 'row': 3}),\n",
" (126.535039385248, [29, 2], {'col': 29, 'row': 2}),\n",
" (126.12708338971005, [30, 2], {'col': 30, 'row': 2})]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bo.best_results()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
},
"widgets": {
"state": {},
"version": "1.1.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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