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@luqmansen
Created December 4, 2019 08:07
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Linear Regression",
"provenance": [],
"collapsed_sections": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "code",
"metadata": {
"id": "7rPFHPWdNr4z",
"colab_type": "code",
"outputId": "56b5164c-1ab6-4299-b65b-54e27f571fd8",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 53
}
},
"source": [
"from google.colab import drive\n",
"drive.mount('/content/drive')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "NQ11M68CPyaP",
"colab_type": "code",
"colab": {}
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt # To visualize\n",
"import pandas as pd # To read data\n",
"from sklearn.linear_model import LinearRegression\n",
"import statsmodels.api as sm"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "fj399srpgDR1",
"colab_type": "code",
"outputId": "ada04d78-52a4-4338-9af9-d48940842ebf",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 33
}
},
"source": [
"df = pd.read_csv('drive/My Drive/Colab Notebooks/TugasAI/data.csv')\n",
"df = df.rename(columns={' y': 'y'})\n",
"df = df.rename(columns={' x2': 'x2'})\n",
"df.columns"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Index(['x1', 'x2', 'y'], dtype='object')"
]
},
"metadata": {
"tags": []
},
"execution_count": 60
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "grsGYRhHHK_s",
"colab_type": "text"
},
"source": [
"Checking for linearity\n",
" 1. Cek linear relationship x1 dan y\n",
" 2. Cek linear relationship x2 dan y\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "OTOm1wwGHb3K",
"colab_type": "code",
"outputId": "a75b4e0b-928c-4d7e-ca61-74c7a855e836",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 294
}
},
"source": [
"plt.scatter(df.x1, df.y, color='red')\n",
"plt.title('x1 vs y')\n",
"plt.xlabel('x1')\n",
"plt.ylabel('y')\n",
"plt.grid(True)\n",
"# plt.show()\n",
"\n",
"plt.scatter(df.x2, df.y, color='blue')\n",
"plt.title('x2 vs y')\n",
"plt.xlabel('x2')\n",
"plt.ylabel('y')\n",
"plt.grid(True)\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
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ZhnOZ426iiGql0njTtSZzpRL9mUqlfbLu2RP9nXv2JH7URTsDOKIWveo0WklEVgP4JICq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\nHAghhIT4/x31FupUW2lXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "DOIHV8FxXnB9",
"colab_type": "code",
"colab": {}
},
"source": [
"x = df[['x1', 'x2']]\n",
"y = df['y']"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "KTPjo15kQfYZ",
"colab_type": "code",
"colab": {}
},
"source": [
"from sklearn import linear_model"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "NJreStgvAzvd",
"colab_type": "code",
"outputId": "c4f034af-c93a-4c72-baad-cb7b0c0ecb04",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 83
}
},
"source": [
"rg = linear_model.LinearRegression()\n",
"model = rg.fit(x,y)\n",
"print('Intercept: \\n', rg.intercept_)\n",
"print('Coeff: \\n', rg.coef_)\n",
"\n",
"# new_x1 = 4\n",
"# new_x2 = 3\n",
"# predictions = rg.predict([[new_x1, new_x2]])\n",
"# print('Prediction of y: \\n', predictions)\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Intercept: \n",
" 2.1688913359202786\n",
"Coeff: \n",
" [2.34761294 5.10767891]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ta-k4tdQKssR",
"colab_type": "text"
},
"source": [
"\n",
"## y = (intercept) + (x1 coeff)*x1 + (x2 coeff)*x2 <br>\n",
"## y = 2.1688 + 2.3476 *x1 + 5.1076*x2\n",
"\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "OtRbOXUwUbKl",
"colab_type": "code",
"outputId": "e625f0f6-cfed-4166-9fd2-42f629337d13",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 267
}
},
"source": [
"from pylab import meshgrid,cm,imshow,contour,clabel,colorbar,axis,title,show\n",
"from numpy import exp,arange\n",
"def z_func(x1,x2):\n",
" return 2.1688913359202786 + 2.34761294*x1 + 5.10767891*x2\n",
"\n",
"X1,X2 = meshgrid(df.x1, df.x2)\n",
"Z = z_func(X1,X2)\n",
"\n",
"im = imshow(Z, cmap=cm.RdBu) \n",
"cset = contour(Z,arange(-1,1.5,0.2),linewidths=2,cmap=cm.Set2)\n",
"clabel(cset,inline=True,fmt='%1.1f',fontsize=10)\n",
"colorbar(im)\n",
"show()\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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/VKgdTDFKNxJE2mZX1qATlDCkBpU47JWWGELjZq+QthLfYaxSNI06oynJmm6x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vrIC/SrCjffMMsfxzcilNUkpwXK20BEOaTycAwf01zC7o2gAWtzP+nAIlI2yOeXObPwQazyNkeH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Q+9bcJGnm5K8UIRQfHm4zQI512cCqmwQIWmFCKzxALnuVzeIcZucEKEVidqCbZkiDuELaCzm1\nMppRGXv+DB2Gt7+72a9rt0TKAE/HRQBZTruXcFN+YgB68e24IkHXKzLsXUD0j/eRokJRJkbgRpXt\n7W79e+f7gqxwo1lEoWGKCEWaFa774wzSokILBXiugNoN7kLRJlVa0lUYjcNsjD7D0TCHjCxUECOD\nInpnL/90T40gGdr+zVDtuOVBYiHZgYTESqeil/mFoXN04hKm0pF1xYE+EJWI24re06xhkNjcozdJ\nAcIWB62AhzMtul4JRMqZliiJJnZArX6sI4RClylHnBcVSFQTKRTvzgb0/DzoEl+LKfdytJZ88r5F\nw3LB0FGA75cIYg3RM/FkyPniCPPqOPu7AR07Lbw/7togbkZHd9v6kmKrSsWJGSgusiK7tIVLAJjS\nxVAx7STBbb2XdG/wzIQR8vSiEoYWoot1vHgEXTMhnCK+PMm+0OK5sTamCQOJhkBwl29zw/RJAKNv\n+c+aIZVIZyzW2RNfRSGw9S7nxSTVkU0MzWVcJYTuMJ3OKLXys0zLdWraPG21n4Y3hhNUIAbVnSBS\nUPOGKRg9Zt0sCZJebFOoFEi6TS5V7iYQqbK/Z+UMXvNR3rwo1H9Klhypm/qgECJD6q6+BzgDfBv4\n28CfAr8I/MXrHSjEwSBm06vQcO9iNDcP5hobtftI0Cl272Kyd4hVEbI/f4lm7RSO1sOLre3kQqry\nYiLSJsX9AEL/ffo5I7tYxip+OEovye3aTtySpLiVYBKK5gbNYEdxqNv+3kr+mFA0a3TDEoYMsI0a\nLX8UpSRZo0k7TONdMQa6CMkac8RJiKGm6cVp/4fb3Ud1m5I0a6cxG8dRmkei99D8AUQ/xhjs2ssg\nJMTov48IuZnoTrBk2G+lKAiioV3/uZNEM2800bU2fjhApAyCxOxnR+V2i75YaUhipEhIlKJo1pAi\nwosLJIlEKZ2ml6ETWMRJynXX8BzKTg+hCRDptWgNt4m2suQCi2ZpFX24Rl7miJYHcSugyYRKGHHB\nyaM3BpFxQinuorPBw1GExXV6tR5W0cHKOMRRAHKYVp/nbs2rYGmLSL+D8NLvDHcQreQyH7bRGgOc\nzG5yXU0hs9eprlTwcxkm7CZ0LKpBwqdLZf5bYw3ltLgyrLGYDTgVu5QTkVFFAAAgAElEQVRVFYRE\nCJ05MUCcmDgyoGZXacocp3rZbQJOhcKLcvzEkQbnwi4PdLJcsj1eyLi8redwdeHvMVq8jEjSptTG\n+mMYThM3MCjobdwwiyag02/OI1RApASx1JgbOdiHP6Vr+cKBU2i//t/fcV1/YLmZXf0bJj80hEQp\n9RzwZ8BLwLn+sT4G/Avgo0KIGWAQeF304Gc++39hZK6x4tv0ohwdrUk9LGDIGDKvkLdvkHfmyTqz\nXLBq+EkGx754y/Bvp/PZUW67PgvBqUZAmi94LYvr5rFu/WTozTu2+f4i0LQVBpzr5Kx1Op0Wuoj7\ngOP2bVtCMN/j8MXVne5Zb0gUYf46MiyguyPbCk5t3z4xSkQocZNNV/aVyM4v5zM79OJZo0X2Vrae\n23+Ow/NLrNQDskYDpaDay7HQLNPyHXSZ4O5K3AhienFCuxMwPvhtJoa+ybBY4h9UznK4vMpYvoml\nhZSdXhqv2z00W6M36REfP8+D5Q3enihkskaxk+9fbsGc5TCQRIyzzDHPRxLQ8Ap0aoL7evCgG3HP\nWpt7epK3BTaatsP4Eiqdmc5eGkrg5dLrsRgOg7DRrIRQK6CyilaQQ3X3084OoRBseCUa+ZgtK8vb\n4gCBYlYVuWR7FGNJRatzTzvhnp7gdDdmSq6zavp8L+NyKda5WzXJJSmI+KaVaWoB2fI0h6wyBoK9\ngY6tJJFQgMlG8wTEaRzTIMSSAZ3AQFfe9sPQTwxGnRqOinDCHl6sGMwsbl8JAMtY422Pv+sHWF9/\nxUJIkjf2egvJm8quKqV+FfjV276+Abx28ej3kedf7PILPztB3AeYdpqnbv4CdphwqO7wtLMvzYg2\n0kuXhFPsZr5Nb61UyZVsl4a3w+N1U7zYZgWJG995R0+MmiyvBbft008keNPb35ecNtl8gVyhQlC4\ni7mX/pKbFOOpCOJwD7WohClDioXrbPVSJZQkI/0tUoBwqHSiQZ3VyKEbpUX2BavBkft/irkLX6fR\nSDBkiGFIGu4OBEQTiii2sa0t9p76GYK1F+g06wgp8QZPUNv4ApHmI+p3b59JqHaDgKHb209aBREz\ndPf7yZrp/wumoNvXt/MvfZamX8aNs3Q1DbOXoxOkSmm6uIquJ3T9HJGQbHojKE/gRgYlq0vS8Ais\nhIurj/Do/s9xJdJIiAiTtNJCk33ydXFr3PCm9IIKkBaWS73E2v60nC1RUC/0uHvDYswdZMuQeBPf\nwq6+m3aUR5g7/R92jnUTbLyzVvJaiTWtgYmil49ZNRc44e+BwVmCQJGRc4RMMCBXWVHDDNhN8irD\nvYUNEIpgI8dKIaKoNPYFJok+ws3ITAKUwzI/FpTY0CMK7hwVZ4QOAkNEnHjg3Wi6xlOb11jtNphJ\n6jTHy9iJhdFobI9VCMWqn1r+ARbrXhElNGIKOHpIJ3IwRYAbOghNEASS5fUc5XJxGwalkITRMAr3\njnn5gUXxI4WQ/HXJW6LiQQhIxJ1Nmi0Z0qiOEvtLGNngFtiHbSxDsBN32y0jlSKNJf+O/2kiYbBW\nYy4b30LPDbD/yKOsr39tF0Ek2/vbehc/MBEkvO2+927HmVYjbZfVtwuSkb2A6J2ikpln092xInQZ\nEOxqUCyAZCOhuLLO1nSUVgMoQcbQOHb6fViN9Il8vVqjMZ8WgJsyQgkDo7MPI6uTMSRTe072py3h\num/Tmt2DO/lVzMYRRD9TfTOOCBABNyyXbqwzGkpylo6tpfOfNdKaEGDbFdVEjL1eQ5xqYKgsYZyG\nBA6cej/V6+expk+gz9ZYmvex9IhDQy+x7k8RbvUojr7IrJ+hrLeRXRfhjOEYIY7R2J6X2xtfp3Pl\nk3QaIDWMYQP8fiJFU4yOzjA+NcjXb3TQRBGt8w66uIzLq/i1FkErBT4b2T7jR2UYP7Fx9B5ulAEE\nLXcPRu8AN2nTG+13Ue9qRLpLbG3huhOYlg1yCInGZpihGg9QWZ1GjyWVgwU+cnSUbz9/hhCBofWI\nWk1EH1ZUqGzQDAbZkyREzQgz3+aqZlJMFA/YBjPtDea7W7x35B7+TuZe/mTuOQ4VhknWXET/ofnw\nQ49w/pXvUe9pKBTdOMVxmrh0ovShFyiTjGwx/cTXAKg99h4qA2dpb75n27OxjBpJ/Ueg5P6GZlff\nEt26AKJbem+mN1feqnIwSqsTjNsQ++tN8zYVthPNWt1scmtWMxVNRkjSzOrtUq9t9hsb3wknyVpL\n0I/Tra+v3bbnnUp2ZXOMpPJFbjR1GvWdTJ+pd2/ZRxMxY7UldKUw+tUJYb9HQavZ4BuvXOLV6zNs\nbOyQNQSJQRiDEjEbpS+x0P0S3Xjr1gHEFpo/QJJb2Dl3sXNONS3ivCG5ZPs8k/NYc1/bHfcSjaoW\nEffH9sGMhdlvsBwmBudffIaFrRaLF85QMZYYyzcZdNrUmiHvLBR5UGvSvHYvS+cf416V3mQpBdJt\nw70F3pKKoe80cvaC22/QHhaCh/Zl2Rxusjpe577TBve1WryW6FraeSyILW6uiyS+Rtm+hiIBQu4+\n9V56yiAIswyScLzg8qhTJ2vNI1RCnICtbDYGPZaHPTaNZeaW5rYZjDXt1lDE/MoUJ0a+wcj4X3CX\nX0PXGoyFOgN9t/5yc50Ru4CjmcQqYTJTptWpIfodOkCwsjRDvZfeos6u6hVDcxG75krXds77sazB\npav3c6jyNDcrX6Jk54HypqSfXX0jr7eSvCUsOanUHXWiALo5z/hWFx/QpjvATXdP0XVLFArxtuUl\nSJVGoiQtP33i6URE6NxUKoYMCNo9dM2H+NaO4ufPniXFwyeYMsJPdiy9phdhypAgMTl3bZZz12aR\nImEgHwNpgHd31UOrG9J75YO0sk32bK2RH2jhxiaGvrFtkUAKTi6uVdMMn96DqIAfO7z67Bep92xA\nY62ZAK8BiVAaxBYLrS+ztPpiCm9o7yeHJNbzkBhou6xVXUZEsU6AoqpH7AlaCDVKiOJr80/zKyc/\nwNKNF7m0tko+n6U0fZqnTcmG3gMUT546ya922xiWB8FQSn7Qr83yvAAVNgEnBVz3RhC9NtlOh2PH\nMhhCIC9cJQZkNgZ1+7K780EhRZeg1UVokqY+jrB25rjnJqigRRn4xYEUpK3cLvW+Bec3UoVj9CmP\ntLH0+3jXWpENncRxEWiA5IWn/5KUoFYQs8keL12PHekSYSATA8PooomESElWqgawo1zipEfQ6iH6\nFrHQAy5ceRQvtHi4+gS+55Dvx+SuvPRVcpbNVV3QKXRpxwG1oI2sLZCntJ0Vvr6wxU2lPFV6jqu1\nd6ZzI3u3PMIT0dm2XmW3hVfQmFkf49TIs6jE4eXlMmH7Tjf+B5e/mZbcW0LJ+W5zO76W0Vx6sUPR\naLIyVyH68lMAVIt5xMg+FJKSVWX/V79N82ceYqt3EABbc7H0Do1+ZYIgoZy9SsM91G9KDLpY4caX\nXkEdGwfSWEdWc/tuQPr7Q9lZEgV+70B/dIrq77/Cvn8WsdG5d9vqSJRGtZW+Tx28fsWAjBj9g8/R\n/scfYujj30LfaqD/+j0Mmy4Xvpgj8/aT2+edtRaY+eLldGyPnQZ9BIWk3ru927lAkjCSnWWjuxch\nVMqU0t1DnFjYGw8R5mYJBs5Tj3IovYMMipTCHg0UeaOFrtdw3b10tJhIizh+ZpaL91XQY51GkPD0\nk9/o28IO3Ro8236edSfhsXaOAXWRrwQF/mxzncGC1S9Ev9UJ8GMHUJTsefa8eJmNMKZ2aYnxegeA\n2WdSKirnv9lPEKSUVjsMKamUzCqNYBBJwtbZNczvvIyQkql9I7R/IkczGMSUAdGfnmF1KJ0jZ7if\nrfZ85r+V/oZbTy23wmQa461aFnJsajtzXDS3kJ/6KtE7TmLcHRAmZn8cikF7ndr1AZZfTded0GwK\n75umG+XxOmvk8zH1PpBakCCFIqu32fryPNrZK2hmej5jhYvM/dR7yGoR17/8Kp3z69g/fxQvttlq\nmRgkZE2fP2s/iRULSrHOvj4XXFZv0Y0KpA9dxVBmiXPzh5kcXsINS2ycX6Z8NE8zqGCIkM6LNTa/\nlFJf6Vmb+6Tkxfsf5ZVqEWV1KH3xSWbbHd60/KeWXf1RStJf6GV7FTNoYIpziNkZHtrcKQaf/taL\nFO0LDGdm6b56CV0pCq8uUrZX0USMTG6w9cw5StYWQ5k5VDhL6YlL6Mk1JDEZrUf8H9JOVvz6E5Sd\nVylar5JfPMdQZh5L+lSc80ysusjnb2wX6eeNNqUr8xxclETdeYbyLzGSO4spd8AaWe0KtpaCW/PW\nLEaieLS2RXGzgVRwdGmKvTcOM/7NlymaqeuQ0VyKL+6c354nzlDJzGBJH1MGKWyDCwzlzjFgbmFy\nieELS/jdGom3gcVljM4Esb2Jo7WZoMrIxkOY9eNYGw8yUDuJ+q1vQTSD7nfofOEMlgxJRAJRm0wU\nYvTdmEwiCfv2gyV9BAmuTDAUFMwGW594EdP12SzmOT27TN6+TEqX5DOSvbYzD3qXoaU2ufD73whh\nd2X7fdFa6rdzJKXIOneegvUSguuMf+fl7e1yYYB7/iIjubMkyQLlrR/M/cr93jdIwlky+kvoXMBy\nQ4wkYU91EyO5gikDcnqbAecVrIszvK2+A+0cqW7RfupZgt4m8n/7C1Y+9xyj+QtUMmcIequErSrD\n3RojZ6/c8ptGHPN4p8pD3TQUkF9YQzbT35L9NpB7A4uHOzlOeA4HAguJRBMh0cI1Bp1zjGQvkQQ3\nGGn6PLp8noFz16i4GxQ//h3Wn3yJkdwVlJpj7425W35bTxLeV5vl4dlN3rNpUvhRKDj6tatJ8oZe\nbyV5S1hyutZmMn+V5TWXd/TSp/Daq5eoA7WZtObOq3vc3zQAn7NffZ4qUE4SSncdZdGts/7LH0cm\ninec2kuyuMRBYOHqKvmZNao/VyDQdXJnV2j2n/Lv3NJoS42NuVnGJyaYi7aYemkBAWQuLVB4ewmT\nSZY7VS7dfZiWq5hYm+V4UEIR8g1ribFSHl3vEH3yBarvKTA8sML137lKYaZO4+oiG3PpAm9dT3sr\nbFyrY7RXmBpeYqmqIS7OMldL400D17Y40rO4EG8QKMmkjLEvLaEB2mFJ4/mX8D14p9GP2S2uM/eu\nDnoEXnSdE40elzJXsOO7COMiGXuZ+rl1Ht3aYsGy+cyPPYCfdclGEQefu8JmtYs1u0542CAbZxnL\n3sAPmhyq5ZnVHZSjyEZ5vmpKkp97jMz8Olbs0by+jL28RfVdWVyRwby2Rf6uMdzYJolmMWYWqF9N\nFdnWlSpOZXH7PcCVj51hzz9Oy96amxvkhzfRk730okXy569ybOQ+oM3Tl1Nqd6kJIi9iYGaTYxOP\nAy5PXaujmf3mL430Bo7DiM0r6T7NML3JIjdVtvWGx/uqG/3VFgBtnrlcRbd1SjPrrP/iEKN6wuiS\nx/r5qzSAZp+c1K275C5XuXs8yxcXWrDwPY6+4wBgcbh2gyRIlfSN/jrVjD71e86guC8992r/f4ef\neI71D40RBhIts4Wm7cdPDAZll3zuGiideidh8rlX4DmYet9D7F2cA6B2NT3WSJLw6nwTfv/rHDv5\nCwCcvbzJpXb60B2fuZVhxxlsUr3ygzcwek35z5bcDy8CjY4/jJ29MzbzemLrgg+VFKqf8bSBeBfw\nys3anCzZHMndWoB/1bL5t0OjfPzdj3LdMDhhKNr6jusUx4K6WmTBLNC4/y7W8zmen5qiLdNtirkO\npr2GNBfp5PP4KsNsZxqVuTXWd1O2zCLuY++g1S0ytzBxx8SHpsOrQYUb7QJL9QrnGzaCkOCRUcLh\nLNm/9TDiZwe24zCuJmn1cthenlODWeKhCQ5ny9w1kFIoKbWD95/0PR7491/idBSxTwg6xRxKSGIp\naWsRWQUdd4qsI/l2XCQobrBu2mRVwLs2ffb/0dfwRsvofhpQbudKDBYzCKFo57LYeo8hexPLfn0C\nVmMk27dkEgzbIAwknvUK+mskJF5XBEgpEK+ziu2sgYxDZByym9m2WczzFx95H18ccPjma7XS6oub\nz/D7+w7w4m//I67885+6vTnWLaI7eezyOEZ24I7/xULQddcoVMfZ1xxlcD1H1hd04izV1nHavf2U\n82+toP0tohQqDN7Q660kbwlLLowzNIISg3YH+1BaTlXx0onqrKbWUGYwi3kwjWeNnHoFBZQOTvDU\napkXYx37//gXFL7wp8gDd3MxX+LhJGG42uTGoXvp6pcRXpHJ0yO4dQ8FHJg8yD9UijNLN3hey3FW\n5SntO8VPmx2UaTAX3EdbJqxlerz/P36c+//Hn+YruSzPFyapuAF6olhppgvZeeerPFC+gaX5bP5y\nkWBjhMrJA0y+kro9ywfu4Vn3KNFP6OhJAOYWBWsvg3evcOj51OoRD57ggptjyO+wpE3STIYYvXuR\nKWmQcQbpNVbJOBN4JySD4TRXSk2KRpm9ykDXWjybXaEY5Djk7QPAjYqMnh7BOZySC0xOz+Dl/xLN\n6PLlw++jOT1G6JjEUYa9gYObSLzWaY4c+Rxl/xhRonMgt4RcOcG0o5jPWQxWslRyB1g8VMQ05xja\nfwWrcQ+b3TQOWjAtyndr6HYK9dFMSeVkGtsMu6kFrf3McTr9+GUmP0DDmyJpSXQRUbm7vn2NR08/\nB6SWXH5PGsPb+d+TlO8ap5QFy0pZof/SfoCVt40ilGLvNz5BdmuJwmQew9QYHs/hqJCvmY+wZQ4h\npEb+I3kOFhaZSLLkGh7tKM/moWPb684qpYF6v9HhKw+/nUcsh+S3PsELH/4xXt57hId1E62+sW3Z\njJ4+i+5UKO5/P9LIouImxX0NNLPN2KnUkl97+BFsx2GiFuD6w2hIhqoO7qhLIC2CyCJsnyRzn08l\nDDEPnkTLpQSwso9jzB44yPSRF26Zj5HT5zg520BoMHQi5cMoHp5CAObAAKNX++73m+6Dpd5yQN83\nIm8JS06XIYKYJKkTRDEzXY/oNWjZVzpNntlcpmlb29klrbhA5cAzsHYFp9nlicWLeL06K2HqRtjN\nZSYydUrF2e3jCKDT7dBtNQmkxFA6+2WHnEoIlUQqRcFokACRDBGkBLhjrsfZwAOvialvcTNF36vG\nNIIcF66d5Nzlx7nwt/8HNuK0s5ifyXHRH8MWPR7843/BgLFOzRshs7HOq5m7ye0fRggQZsi93gvI\njGK/NosvDdRAF6XXmW+ZqAR8uY5nbdCKEgZDD0WMTkxbhIxsHMRRMTEJmojR+zHDbpIQJgmZTo9y\nIhkIBsl3urQti4Zu0pFJP6co+Fa+zWL7MO1IkEkk14Jh/MwqZ997P4YXMF1L3a5e06IiHQbcaTa7\nN0k6wdReP1bWntvZJoy65Iz0mHkzdSdnOh1q/p2WQAKca/do96+rZSpCXVG1cly39tAwypx64rc4\n9OynWHjkvyCRGkJC/miO65ke1btOUxjWeHBwkQ+OLFIbOkBLG2bfxjymA7lcA7/TvaOkDmBuYoR7\nlUKLEw6cucRTbocLWxtshBFbUUKYKITUsQePEnZW2Dr7MYLWZYL2wV0rDsq9GgU9QRMa9akVloY8\nEgEDrb4VqcDSehSCgBtOhmfWZrkexCxKyart4Eq5bUUmwMVGjUB+h4mPXOf+3zOo/csH+Pw9J5mt\nlFMM5utejR9CfkSkmX+d8pbo8bDn0LT6nd/4re2KUNVHC5maj6NXAZ+eKvItw8YTimIiKKuEFU0Q\nITjp2oypGE2E9OIsINjo5mgHFpGSKKlARhwuLDOoLxGLCq2wTIhixgjR1icRSmJqIVkjYDxfI0gM\n6lrCBcflg2GTdjDMhhRctD0e7ebYXQAuScANaLYdBjNNLK3LanuU0UqNXuIx17iLkl1jqtyguWly\nIzxAmRpbYogH5RP0DB/DmcBcdTlTOspUuMhMcpJHjn+SYSRfbr6N9+otoswVMgLOrz6GUCC1kFPl\ncyQq00+UKHwk1xsH8GIdR3dJejlGGyZWBOuFiGY+7X9gSJ8gsbezmzKBBT1gNDGwtSZaZo1ruuBC\nPISGxrvDDgNRjjgxMEXIdH4ZXSagVZlt7aXuTQMKXcQYMsDUuggR40cFQGEbTSKvjjDGaIVpBYIu\noj42MX1k3cy2ChQFcwspuiA0kiRDNywRKQ1NJBSMZYz4HPNTLYhz+JvHOXJdEezV6XbqXGo9zF7n\neQYKCWH+PJuDMHz13URJAd/MYMiIak/HlOCYCVesCE3BgcBE0q8y0Xw0ERAg+JJp8Z5OloJZo5k4\nfMdWvKuzE5bQREKJOuXVIs3KJn7Ow+gOMbQ0wvzeTQxrHZUU6YYl8i2LSsNiZqqLTGCgZZJ1NRbG\n3D4SSfW5/ySm1sYqXmRJj5jx9jPdqzAcaeTNKl6UR9dXOZZ9jqUrH6SRmLRLF9gcmGZLGBzyTbL9\n6pKsUafxq3/Eh5596k31eLh3/4T67r/+5Te0be7v/ss39Vs/SnlLuKs36xhCQO8blwkCL3bw4rRv\n6JwZMBQpPrB8nYHuEoGAF0fvpemUuGr5ZF0Hq18R0QkMDNfjfv8lbuiHaRtZquU2M41JooKDRKDf\nVFG+jTACjFhnulRjsTlAzcuRMwN0pQiAuj/RV2oxO5GulLgpTgRVP0eza4MGhiGwrQJe28JzHXp6\ngQSdTlzi/OYIjt8hlpLlrEKGIfO5e8lKhdlr05E5jsQvs5ocRlcRuShGahoCCOVNi0mkLBsCEhUC\nJonc5FllUcgucaJ9GoEHooAfZpmo28RCUcsmDLQtQt2j5+hEfe49hMKOEka2MpxoF3DHZsjtaSCU\nzXHR5RFtjoX6aQT5tCxJhhzILyKFoK51yYYTlDSDBsl29UAU63eUzrlxFhhPL3J//qJd/SdAbOPY\nFIJmMMxrSaw0aspBDbcYufx+GnmJX3kGYY0TdKbxrWlMy8K37qGtX8XQYKCa40DtMlqU4crgMXpW\nnppXYTTXIGWpC7lZ7pWg4ScafpJi7AKhwOyikDSDCp5IgB67sX2x0miFQwyEGZqJhe8lmLGkJAWR\nn6enstunKRTEMo1JCpkgNdCVjSYilBIkyJTsoNXj2PAzZJIaU7HBqdwKz/Z+mgSNRjCEUAmj2jrR\nxmHq3jiVQKNp6gxZirYdMacrjvhppUQzqPDOr34RSiXerLzVMqdvRN4S7uren/9ZPp/vMJutY9kb\nxKUcxcwGjmz30d+KNT3gSHeZQlDlk4fv48+nj3L/xqvk6eFpYX/xKWxjHREY7BHLfKt8HGegiyds\nSrJNBHzPcXk+28MyNgmzOnovBwNVAmGSK9kU9A6W7IG2yVboo1AkKGzp4uUiRpIKfuEonaGTfK67\nh4tdEy8SlNUmQ9oyW16BOAELlySMSZK0INsULoOZDsPhOgrJsV6VQtjjkp62UtxQWda1Ec7ZP8G6\ntpdIgOfqGMqiZ0gMNGwh8KTEz0+h2xWeiYdIEouG1SUYmKGmp6Vs5/wmKEWxo2PqPTpDVaolD0O4\nKE8nZzTJ6i0K5hbnXEF3dYQbosRvHiyj7btMItp8r3eYjtAY1ANsYwuQmJrLmLOKIRUzRHwXh56W\nICR8qjlBoRSQtzbI6i10kXYYy+htMvqtEAZBzFLQwJABeaPGl3pDDGSrFKxNyJL2JdglhghStzYb\nYEkXZTTJdU1srUdOusTtKTqVTZRIi9cAlNHGK85z6pJJJ6Nxceo4CyPHmW6e41UvQy3bQho9CmaV\nuuawZg4RDRQoORvkjDqO1sWQAQ4xkYxx9NTN9oQiQ8Tm4GHE6AjGoE1GqyMTcdMQS89RRBgqQt3s\nMasUOXuLJdPGUzku5o9xKXuc77QqLIsiT3KYb8T7aNIho22wx48YKF/j7Ll/QO3ML2BGMcdKz+Ho\nTVSSIIjYZy7RtgIOPfA7jD/0/3A4M4cIJWU8XMOl6GyQN2oUzCqG+bqtVl5flELFyRt6vZXkLWHJ\nNS7NMfnuH0fGWwTAVLlMZ3kRL8n1txBkE42RZo1WZZS6tMF20OKIMc0npwwCkW4nVQaj1yGeGiZX\ntXmpYJCPImo4DKN4uF3E0iOU1HG7eaJ8FUdXvL0ZMP6yzVAMV6c8sprgWLZLFBaRMsJPHMabcMK5\njlbrEqoDRIcqRAtNcsoln0vQpEZW1RkyWsxnBrji7UdGCbbooeIEWwvpyiygKB/+Hu8qv4wCrvtT\nbFz7rymqBp1giHzRIHaeJi5fRes9zH818Am8zjsQ4QANp8Jk9jpJr8E9pQdxI5NBf4KThZ9GtZ4E\nYg7kc+AJMp6Ob4Z0lINC4jou7sG/pJNfxWztJ9s8xPFhgz1dneZkkQdGtpBRSBC1mSjdQKgCIRuM\n5uaZrw/hxRYRPkqE7BU6dymfULg0jWEeOzSAE8/z/7P33sGWXPd95+ecjjeHl/ObnGcQBokBDKKY\nSeUtVbm89lq2arXyyrJcXq1WtbZ3ba3kLZVEmy7LS9H22vJqlcycRAIQCBKJwCBMAia8CS/Hm+/t\nfM7+0fe9eQOABEhwVVCVflW37u2+HU6fPv3r3/mF77edZPq0hCkCihe/OtosBRzMR/RCC6WLvHMq\nQ9IRhHGWgbym2budIDnSFioucLh5mer6MguTHjeKQ1xtHSLuCfIjHQJLEScuAkGsNSK/iPTGKXS6\nxMJC9UrkRqeZ2wgZjixGnC5Sm3hRgYGcxow0xbrC7xSJbBtlaxJ3jWDwOe62PJbsvRibJ2nHy9y5\n0WGo9AJMRmyGTxAYGqOYodN7J1k/g++kydJGZBFZ/XIsIQijAqPDJoPrcM9kalW5ix3ioSz3TRZJ\ntKbakARXh4gqF6jlfFbe+3tk6sNMbu2jOrrEtT7DXJxp0SuvUhxc4oKq0Fh7gI8f+Bz+/M+yGVcJ\nrRC0xo9zuEaIXLv8ytvwfYvWGhXFr7/hW0zeEkpu87nz7O10WbRsNqMs+to8ul/eksI0KiqJgRsF\nbMVllBAUEknDcomaBmrA2pk9+GEWpRLspQ2GleKe3g2edQfxdQPMAxQAACAASURBVOq03a5L3Ygy\nzAcxtSGPYxs5dJLwxapkVnvsXy1w1ZFYCPagaVo+h50mq94A5zsjHKqsklwz2b8VcMYcppjpMFva\nZKFXRStBI85yYnCRYq1DnM1SayQ04wF0t0vLHMQwOpysPs+fXPgVnLbJR+7/bZaq57nWeTvZcJNC\ncwMlDPbpgLpQZFsf6BecOQTrFcZLL9KzDLZW57g4Osdd4SjV1fNAhUXnKqL+fiC1KgLtkIjUkb+w\n9yns1ji5jbfjTTxCz62TqZdwok1CMhhbL6BzGhJBrLeIlYO0dQoKgEYiCWSCIWJUolmMcwy5NQb0\nCuObZ1hTDnC7xbAbVbhgdWhHeRJt0OtPRxNtUtxaIC3SAn8L6NNMyv4UWPensi9nj6JnjxAXr2KL\nRT7m/Tlnxu5GqyY9dRLTMBEkmEYNhr5DfuMezu5zcZMOeXON1RVJNFRij7XBbG4T14j4psqw3jZ5\n93WHcc8llKN4WZ+BI1dwZYzunOC6X+byyKN4LYd3zddomw7neyW0t8m48yAisQlKV1jd9xQHz74H\nL6MpdBw6mWTnPpTaFo0iRM06bcdm+C+eA0cSRGXWhlwIPcqrT9JTRXJ+jtqBpykFOaqLP0196gtE\ngSSJEwwZECc5ICDsDZFkN2lmErzqMu3aLFXrGkoNIRKTpl9Eo4ljm6evvvTmH1TNW85KeyPyllBy\nlopwlIEgJpAJJAamUBTsTbrnX2b06Qus/t2PEkrFCxkfmwyG2ewnIig8qaHnsOAVCBMTy4hZE0N0\nCz2Ge1XcUDERCxpaMPLHn0b+3IM0Gico+BkqCzMcaSpuOAaJAqvUplAr4SaCxAATwUw4h2P0ayQN\nST3IkRlqkl8ZwrYVU6U67dBFJIpeYmHIdHAXS0tsPX+FqTsexFvzaAVlEJrZyUdoawevM42nIq43\niswMPc7N1fvJRTWixOZY8SIX9QS13gDBwHN0pEAuf4DByKa2cXoHx8RYfS8v7urLfO8wBzdcDCXQ\njo8nBDYxprtBT4PVHQU7wfRz+M4WiRxHRjlE8wZmporO2NiJidXcg6jMp75IpYiffAx591GU0UOp\nLGuZOeaskCQxmI4HUEYXlItr+GStLUK/jtdOKA0NglA0bqwy/PQ55E9/nGaYoii/sqzLEtEO6XXB\nukTus0+zNTyKc/8EAYcIlY0pFLK5QTDa5srQnRhSUDYKjFUe4er6HbT9w7xj8RtcyXbxzG/Rrk4w\nGg5R0xPsqf4FlUaJdWcPFxqjHCstcZ+ImKl3Gfcm+OyYYto+x+lsjiiSfHv4cQajQQ6LQyx5NjNc\noz18Fzej/WxqidWdZtJoIEREqefRlpeR18vs2zxIPKRYngiouE0af/4sQ4c+QLtkkGCwMBgzXLfR\niSaorGCsrGAg8Cmh0XiFNbS26MUGrtnAaowT5VZQysSVHkbtBRLjFLVomoIZ4qg8nt0iikNkN6Cb\nazESmlgixJAKhzkqf/TUD+VZ/Wsl9wOLwNGCrPQRRo+SVEjVQ1xcZfLbZ5k4VGXm8ae4MjvJwaDH\nzaTHWbdMJegwnwnROIxYZwnOL1K6521Mzl3h0cEHqOU7zIUTuIFPiELFPboXFul94s+Z+h8zzBQk\nUdwi3zyNLw2OD14gTjxCLXBjg64BVXed7u98k8IvfRzQTAx+A7+zn5ARtOcgCxrXqbPqTTCd20KE\nMk2SrXss/v7XyV9eZv2f/CgzQy8y/9UO0dvfwbRzmSCxMOKYsRt/TGPaZspuc7K0REulb998eRFD\nKk4OfInQqfNM7whJ26doxwirjWH3qHl7gdTiyVktvDhPJwtXJ7tk8TC+c5Gx2bsIB+ZovPAyubtG\niaWJyRzBs0vIt+VIrBgrTpF6UVni2CRrCgKri9AGLpLlZ+cw/+NFRtavE71tDxwsUvbHyTQHkYXL\ngEEUDWKIACuZo/f8MhMLS2ycW8X/6fsxI0Xh82mVSthZAjtVcnl7jWYwxnZ01dGXyTuDCNmi9c+/\njO4FZIwVsleuE/+sJJ8Zo6nazD6zj+sfWaXUrDNz9CGebz/IWiK5T36J59oV5n77oRTIfu8oo7/w\nDlaH84TGGlf9SY6sH8OZncP0XGzZZCMTMurkCaWBKK0R9VpgW/iyDYZm6Mx70fuWcdwOWlpcurJE\nPLSP4eIcjegAA/YyZuix8OzjGBYsPvy5NLgwkEP+/HsQS13Mzz3Dy9lzlH/rJwn0HhJMVgeTvpV7\nK5CVhAoRKcjW8aMchdgnk7tAvT1CpngFoSxWY8h84hGCn7bo/EiXU6vHuXvfw+RkQNA5xIubp+m0\nDe51r+O4FiQJ/u9+jUbw5pOMtdaov8aT+8GkOCLTSU2coy2yNIM+0u2+A9T2v50rQmElBnlvnan6\nHF8+cIpxr0PbdPhKrsBh30WJo1h3HeURp8cvWAGZRDO0NUY3SXPdOu08g9UaV3/1E0wXNzm/MchM\nuUYSTVBSJgJ4qXYEqTWTMiahw7C7zKmx36f5L6fwajUW2xMcLz1FlF2m1zxMO5PjUGWJmj/M4cp3\niBOTrjfGTHaJ0akmJ/71BmfmfxlV83meI+j3ZDGLNXqWRRHBHnuF8+94N/cMfhFtxSyRp2nFjEeS\njNUkDIf4t/5JDtkv8v7MJb6V/SAtlUkRVHahDykk7ehW5EwZ0MGFB+6iupRj5Mad5EcnWDXPoUyB\n0Idw95bpJdewtcR3EvKeiW8nqOVZmNzArbxEJphEJjlaB3+cqT89Tjuo0upN0wiXqdiCe5wWhJP0\nVJrom2iHNsfg5FGundSIj9yCU5dH34UtbscEbAbju0aBoMMxCABGCP7xL9MyPJzMGpsiQfbGEWEe\ns1Nk9YiH8g7SPv0wVuIi2uA6edqFD+JQ5uRn/lsso06iI9baCcJaxe7sQXgGiROwoR2MwRqxXcT3\nCgwYW7QNSYxLSx3ETxrkXcG99fswZ1fpaYGlbXpGGXPoFBPxRXKNFi9N17lZvY6ObMTHRiktfZDw\nWAatUgBXjYQJjfmJezG1STv57hU9SagYWi5TjgyWZpbpYFDfPMDw2MvskU2GzDpPdu9hwY35+Cfv\n47rTY3XrAOure2jtO0vm2t0Urj6IbUvGEk0nWyKIE4QA+Q+PoD/5iTf1jG7LX8Xo6ltCyTWTElmz\ni6NsalbCuUyPochiNLa4ZqWl43uUQTs7ylR7hf/t3JMkwuD50VPc33NxteCBm4/yxMx7OOrbXBs5\nyAdXvoFQisCQPD1+hLZVYSCxoFQDJPeoDkPX8igBvZzHkVyPraJGJZLMVpHITDCdBRwrpBw16YgU\nsulaNIAVjSD9Et38TYYnPs+1m/8DF2sPECkDU8Ss+iPYRsLjL/8DDlbm2cregVMbxpQKNzbZyOxj\ntnCThychqwQVo40X51BoIhHhSEUPScvymHXOE2iTroBM9ga9ziG2cwltGWIZHpFy0X3CFEv2iJRL\nqFKUjsXhHjnPJLENerkuuW6MSsBOAoSysUXC1sQ8E/PjTGzlaRWG8cQm08EeQBPFZRxpkBMmWiqa\nSK53R5FiCUtKfGWw5pXJW3V6UXEn4KBvQzxLQRh8vY2uovs5cin/RMrXkUEjcGJNoe2wmku4Of0S\nw2YNNyygM6sMbZ1k7+hNpO2giQh60/hJiB1lGfTG6Ro1hAgxMRGqQC/KkOByWFzkhlOkULoJzj66\n0SgMfRPVOwE6BBSG1shY4ofDZOxlNow618wNBtbfzaHBLewog2261KwqXkFSj1cQG4PkEk1n6gwo\nyehclZrjEQ6nTFzbqTHpdabXbckIW6ZvKCFCenFIxjQRliTc1+GmyhO4JsoMiBZO02iMM3DkSyxE\ngyQr93Co5eJtHaX2/t/DNkNuTH4HA5ugskY+v04lrlLtmixnbESxl6atSM2+//J5GL49oPN9Sz+6\n+ldN3hJKToQOv72YZepQBzPJIrXNwMg0dusmp/wuCRLTbfD5jWm+XPgYf/uuEB13adv7+cNnV4CE\n7OwdOLLL17cmODxxnGfyd3H/iItG8x+f2KJIi783u0yUZJEy5k+zs4SFAm/fO8DFpxZ451qG+akx\nhpoBcbHHb17RwHv5zfuyCFmjqNIp1jfP/R88MH6WaH6K361Jbiwe4zfek8dfW+BS1+TuAZ+K9HBN\ng2Kxw3pYJLGaFIZyDMcNTGnwn8+9kx9531d5h7mE2xlmylrl3OaP8fXNQWJh87gS3C8/ykdnv8xz\n9V8nb/8B2ewmtfyHWPW7ODoikyvw+8+lUNmn96VOe0NKvv54CpT5yR9ZQyvNV73TjFk3OJHxqMkO\n/3W9wC/eNcuG+Sgi+SD/4rHUJ+bmbISh+OChCyysl3hp4U6qeZu91irvq9aYb85iFoswfQhhFfhH\nj14D4KN3jPMHj18F4O/86AEAZp0mxsbzmFrTyO9H6ohcex4vKmPJgO+sdvnc/AT/6n013MIBfvkb\nbX79Y0fIbXlkz6wQyIh9qktoz7PWOsURd43ZaIxMoYkQNsvnT9Adn+PgYIznLGFEBRCgtAJtEPo+\ncXuWm7rAdPk6TX+Cm/5hVPsgw26DqtuhMz+OLEdEQZHrqshkJDi8VCGrIwxDEMgIYcVMTV3B8Cvc\nadTpqGn2TV7iK4tH6UZjHJp6kplMhF27hzWzwerIIrnNGVyxSOLY3CzcxVD7GWSUIWN3aY0+yKee\n3ujfq9Sqm19qki+nyj+JFYZK+JUP34/HI9ysblLaPMQL9mP48w/g1MfYcDWZA8tU1x7gemmOoHmA\nifw82e4IN4Y0I+4CNDNM+gNcn7qLenODU87iD+U5/asaXX1LVDz8i9/6P/Wx48fZu3cPHbOK8upE\nq5dJkpiM1cQ1PBAJa7W9yOkBjI0lEm3gml0ahb2Uuy/R7ePIFexNKsd/grBbp3PtSRQGa+VjjDZe\nwI/yJNt1k2YTNfNeBnovcpW97J3zGa35xLrHwvgG3VxEohQHL09yZU/zNlLpigiJZZbICGi5eSYy\nZTbWVsgYIaEyMYSiYHpshQW2gTgNkexYLo1cnoMDf8p+8xwXF/8enahE1epQGPkS6xynpv4Goftp\nTskzjIsWiU64lNyJqv8sHhkMx8WIfRa7ilZ+lGNDeYQQGELwuQurHOAiUwJiZZNzm3hBgVgbmMWX\nqVfnsEWI6A4z0DzKlZKPr6dwxFEc98+w7KeJo3eAdnCNEoWbFnF/iilQOIZPxo24VnoQgPsmS3zm\nQlrn+eP7cmxefZSebxP29zFFvBMd3RZLhviyw4gj8SN4MXMvD9oXMa9JpD3LcvYSKvZJqs/TcTSO\nN4bKrHBc5XGjIq2zd3Ojsszx6bNII+DllR9laOg8jnuB5fUPM5tfw0RwtTOO0CE6svGFgxaSg/lv\nYZszXGsNM5OrIaTicq/K6KVB1kyHahJRPfUi2oqIA4Oik6C1y4p7lqmwQSe+j+e9NoNxRG7QoGM2\naJldZv0pmhGY597L1mgDDEHG7OEnKdw6aHJWm/XBBxCmjewruUvrHcaKaeJxpBRF/waT4SJ6T4el\n5JugNXazykDtXXSTDGW7Q7XyNOeUQ1K6jtnZT2KvMrh+L3ZcRQoFQjNgLyMKH2Bx7QIgePD0fTgj\ne95UFcKpyWH9tV/8mTe07fj/8m/fMhUPbwkl9/f/zs/on/zJv4GTKAZvVLm5b51KfpPhga8Rte/j\nav0Y48WbqLDCgldG3JbDvBuVN13OmD5e7O6s3yaOeeXv3ftUcyG17m4yFd3fdjcXRIIjA95+7BhS\nSrbsCi8+8xQKE1CYJCkazbY/htf2wUjiPsimZia7QT3MI9EEysZTBkPVAVS4QrsnUNpkeOA56I2y\n3Jt+1bU8+O4fwWnMI4RAaM1aborzT3yDSL8WqoZGyxAtEoSyENoCs8nJu97GUGGUde8cibdOYEGs\nfBaun0dtvfY4dWQXISS24aOFJJfPsLq1TQf5WqIxUDsvmd33zZYeUeIysZ6hm0moFyISdxOZf4Gu\nEyBWPsRaaY4PWWu48RCrz95HLd9mz8mvklUGZ7fuxzUDwtgmVhlMEsaydTQRghZTxnmerf8UsQEZ\nq06sShhCcaiwSojgGb/AwUSR79r05qeY3/8cJys6RVYWCStmnVxrgFJpjk5rnBudFYwJzcjGXbRb\nbeonHuJQ/QQqmMSKLdakzUZQfM2+MEh4+3334vQhsxoiS6kPG7Vw4zkuzdXYKXMz2zRaGY52EnL7\nl7gR2VjBEAerFzkXR3SDSbQMMa0ah5MKRXudh+wWQ70prM5e/NUqaqiNVoIhdYEHfuLX3pySmxjW\nX/2Fn3pD2078r//uBz6XEOJngH8GHAHu1Vo/u+u/XwN+jrSc/Je01n/+esd7S0xX333vAbRUjBTX\nCHomlhWRMXu4nSMsRBrDatAkYsbusOYXibSg4qxTD0bYrZTSmj8DL96NrHuLQzVj9CicfYzOqXfQ\ni/O7thHUus5t+6R+pfSBHMpdYaN7ADAIVAYtBIZh4LU3+goOUtWV+mEGs1doenvIWU2CcJ1QHEJp\nSbnf5u2S+KLZQwYtwqRINneNqhqhl8SEUZF2x0RhYYgEEYccHv4zVm/88m2IvBqBUmqHWGdbolfB\ni4MhYhJtIlQKbpA1evQSC+IS/tYWFEYZzpzAUFuobIquslxPK2LzZouge51CaYBuOESgHAKVWih+\nHxE4Snps58jlzTaOvUQcJyR6KlXMyRJ7rmxw6cDb+kjNt9ocJi4IgVQCMxEIDWWzQStO0KbkbL7G\nVOyS2DFCSOrl60x1KyzV7iJM8ggtSBJBNXeVbOwi1RKOHOdS1+BUGS73pqiUzuMYdbYWp3FMg2cH\nepyLM+S8CmVlcAMBUmPO1rDkIJvGRSrOGteEh775QXqWoNvOIaRHr3CU0PoOzvA5JqoVZpoPoITA\nyV5GNkN60V6M7Cab3gy2DPCaVxkYLrPZmyHBoF5bZXRk8lX3aHXpBlACQCkBcZFyu4iefYxMpoPu\nnEZpSVc2mbFiLjfGQQsG2z75yYhWbGPXjpPJd0hEQsXusQUM5q5RObvxqvN93/KX55M7D/wk8H/t\nXimEOAr8LHAMGAceEkIc1Fp/z5DvW6KsKzOzkSZ+aknLUdiYuBq62mAgNrDRTAjNjV6JSKdvuXq3\n9QrXNmwbpVLsvubbCW0ODpResw3l/C2L7dZx02/D8HZ+u2ZCkqkQuWVkceq2Y2/LZs3EF+dY2vLx\nOmlRuSEShLiFriFQ5M2AMLAxdcLw4DfZW3mUcuEysYLBioUlImZzm1T0JC+u/Bwlq/eK8yk6iSB0\nSmxGBlvKou4nr2r/di/s6imKuUs7v43KPpqBohkoVG6AdgztmB0uWI3gjuvrnHarZPssW1LExCSE\naKSIcJ1bUPB+tMDdxcPsbQqqVkTHgXJoI6dGdxjAdovsk+y0czEZ38BMBIayKQpNQSkMo4Vv+Xgi\nRGiBnlxgfKzHUWeRo/ESvbCOGn6SnJ1QysQ0K+u0Q4OcVEghubx5P+fXH+CbN3+aVm+UQFpcsfKc\nUHVGY5MNI1WehinAlFQzq4wEVbLdMvL8x4nDPGamTqws6s0RDG8E6Y8w2XZBbrJptmjFGRobJ2F1\ngCFidGAw5TxGNlzgRLMDorPT3/mxAwRWnsDK0wwSGoGiEShKgzO3OkXEWEZC3gyx7S6xCNPeFRCF\nBpaSaDwkCUpGCNEmJ13uLXbAH2XQ3aBtakacBrFuMDn52rXA349o+EtBBtZav6S1vvQaf/0Y8Eda\n60BrfR24yhugP31LWHIldz+28TKGzNFxNHFsMaZNMs5Nur3TSG1xsz1LqCWO2SaIi3hRhoJ1O5FN\nyt5u7MCp33rIt9mxUqfpaxE5NzrJzj5SaJId/aCJolvKwo9NHnv6DAA5uw0UXnWsODKQA2vkOxNY\nXkysjDSVQtxioDJIsGVI3ShTaq0RxUWCsIQZDRJ4LYxwC6UrLHTLWEaGULkMWl2Kpkcrzu4c5aWn\nv4If3+KYteXz6D7xjSlu9Y+x6zdAimaUWqzrl7/OnpMf5caFb9HrdNCYHLzjHTslWYa85Ww2+pHB\nTSl4IeMRSMUxz2VPt6/khEInos83pbmyscQzA6NU8iWKSjETJ/CKqbTWkmLXpNgx0RIKPRPKAQPt\nArWRNY6Ky7QtG39jCJHTlLNbRLn0pfZtb5SB6afomHU2ghwZXWI6uBdpbDHkGMhQcc9Klcu5Lm1H\nM2C1aFqDHOis80ymQJSY3LOcQQ8E0DNJSgEQIkxJxglYG19mwB9nxPRw7IAXvENoo4uTZDCyHu3c\nRUqNd5C0DEy7C1qiLQMvSNiz9wl8fwR3+TBxkuz093e+/TCFQoX9Bw+BuDXr2FxdoGTHdKMilpEw\nOfhtntr4KQYBdFqXG2vBUvs+0FAwFKOFM8x1RtBGGxHWeLlxN7q8zH5LsJ7vshZUyRs/nMADWu8g\nIb8BGRRCPLtr+VNa60+9yRZMALuzmhf7676nvCWU3PLmECf3P4qIJnGNMRpxFk85ZPQgK+EE3fwN\nKnGVigLb8FmKC4yVHdrhLatAI3Ypt1S2IWu2RcqYJx2D/OsgbYnblKNGq/zOVHi3dMP8q/YFzciQ\nold7F3a5iy4K/CQi1gZa59ke6FKCbST40qXT3mSk9l5WsFnzi8TaIBEFXCPGS2ziWGCLBMeIMKSi\ntUupebGLIMESXYTpEceFnXZvM3QBCLHbqtPEyZ6d5VbbIlq5zGY9ZpsZ7Pyzt8aSFDGXj09Ar0Os\nBgBNTknu6mVYtSI0kPRLsRItyTkTPNeYx69kec4c4J2hpiLXebwtuV7KMeNvs4+lfTHYcCh2TVq5\niNDUjNQdYj2J3dhPwXmKYOwag1t30vH34BXmmFKzRCKgKzqMDvWoigqZ5jimJ/n6usexmZhJHWAH\nJZ5aHYfSBlPtQXpWm6XSBDkjZr/VZc7McPeGoBr6LAtJ1XepFyMGzQSMFn6S526ngW0nWMJk1c9j\nGBE6zpJp7sUoX6fUGyRGk6tewo9meNzNcUA4aOXw/Nw/xpIBF6duYjEACJQWNLoOrLR48aUzuEOw\n545xlJOlF0sOFhosS48wHKKYVNlffp7Yz2I5klbgUHJCjhRv0M5e5qY3xUrzFNIKUCpkXpTxKkuo\ngWegeT9m7iZm9wCWWeH8mR9CxYMG9cattM3v5ZMTQjwEjL7GX7+utf78D9K87yavq+SEEP8B+Ciw\nrrU+3l9XBf4YmAVuAP+N1rouUufQvwI+TIpH87e11s+93jk6rQCFgRQeWkcIJKveMJtBAY1JRdn4\nfpVIhEw5TTQG9WDgFQGIV5MU387nKWiFVajcS/N7ojOLV0EA1YJ9u/6/pQBvZ37fXi/Z2kbnTbLA\n0M6edT/1w1giwpERm34JU2qSqbsxRRMvtvoBg1Q5a636ybQWgTbJWotcaW0rpxRvQ8gAQ9sonSOJ\niozlrrDS3Q9I/OQWleGt36mP8lbysKaQaVPJ53CMgCBxAM1YJcdiLaW5awRDt10HgKPB1IKV/jEM\nQhJsNJJOXIS4iCcUHauLDotsUmQ4G3PZCEmR59TO/dsoB2xUbt0UJaHUqdAsJwTdBzDbCuWsMzGc\n0NI2G34JP7aZVw5nsj6nGicZjk0UmtpQjy8mmo9cGiGRihtTW4ROzMHzkDfCtOEIXlaTlIOYwy3F\nMwMGiRNTswRSG/jRIEpVyFpdJgvfpOsfoxtMs+YPUzE7xNpgwF1FGg087wEEBh4F7OxZ9gc/Rc6r\nU745yc1yG79iIzgBab40vRhGtxxGfJuedFCLmuuT68xM7mF08Hny0iDonEYCnqwxOlpj9dq7GMy/\nRNVcR1FGacFSdxjD6BEpg5wosBH0qHn7KVt1clv3U1MO3d4kSlvUgykm9be/x5h/Y6L54fnktNbv\n+wF2WwKmdi1P9td9T3kjPrn/G/jgK9b9z8DDWusDwMP9ZYAPAQf6n58Hfu8NHJ+h4Qm22gdRSR5d\nuIZBhJfYtKMSsTIwwio5q8ZU8QotlUYlRV+xSBJu4aUCKGzhIdieHqQP4Kt9ZxpJvPOdMbo7y/Rj\npCbRbdunFlOIIwMyRhfHamH1j50ikSW3bX/771t+MqkjNIJu4tBLbEbcJmEi2QjzlM11HOnjKxsp\nUx+XQWotGUIhzQamiJHEGMTMZtYoWk0i00faDba8PWRk77bz7f5t7lxjumwREsQRz770LSzZIWu2\nyVsNmp15skbzNfot3c8RvX4/a0wZkLHa/ftwa/tEaGy9DSwqsLRM8dnQGMQ7x3KNLmiF0On9bOci\nFkd8tsoRWoCz/gBW4yhXmxMsbh1g06tSj3JcckOO+A7DsUmExheKppG+6jKJQWCFGFIQSI0vwUxS\nN8H2q8OLHBIBbULc2KchBVILrjXHeak9xZXWLEv1j1Pz9nK+OYUtm+TdVbzEohYOEbPFapAhUCax\nsUbYKGMPb/JiXnEj22XPZgWBIInVzrVmojYHegHnR3tcGW+gEDxzOeKzj8xh6JhYbKOWQE9LDCGp\n502utGaIZJVIG7zcmmUkmsFpncQxAuJsxIL0KdktHGESBxVW8VC73AIH/umnX+M+fp+iQSfJG/r8\n/yRfAH5WCOEIIfaQ6pnvvN5Or2vJaa0fE0LMvmL1jwHv7v/+T8CjwK/21/9nnealPCWEKAshxrTW\nK9+zEcrHTorUvCyhP0zJ7hBbGzS7e5HuJt1gAKUlKinRjncTLYsdvtPdllSob+ctTXZgOfVthNPb\nkVGFiZe8mvA47hNHi771ozGItHHrVLsIqvWOittWKmmkNeVk3U4nUYAkIEsQp9sWzS692CZUFhWr\nSzMaRCPJGQGx1igkop9uImTMdPUFrqy9b6eFJStgxXcwSJAiQmlBwq3Kgt3R53QPa1cbBREOUfha\ns4bdonb1QVptEei0QkMTEGqXTrQ7mz5l0TW0Jr7tpREiNf2+v0XK7at8CgTa78ftc5pC9d0QEhHc\ncpzLfo+6SjARWcRoLroeq1ZaTDUVpfg1CIUmIenjmSgkFmeAFwAAIABJREFUvpA4WjCgJVuJpics\npjlLXRwhSSQGCtVvSyt2abW3a2vBSyrcaKeoxkHo4Hj7mSx/k553iJwoExlF2qHgamIzkA8wWpCE\nMZa9Xd4myMUGmpgaDpPePKt2hVHPpjcSIA1u3S4AqaEfOW9FRRQxpwcugmjxdHcam4ST+S1u1oeI\nekN0RAq4qYWGaHrnUALF5+98x+vc4zci+i+lrEsI8RPAJ0mnD18WQrygtf6A1vqCEOJPSNkqYuAX\nXy+yCj+4T25kl+JaZZvaPnUCLuzabtsx+ColJ4T4eVJrjy9+8QtsdqcZL1wi0ZL84DdoRVXo7kX7\nw337QNCOdz+8P5hoId7M7m9Ibo/n7l7/yngw9BIXSFFylQbHiEkUzObXSAi50prFlTHdxCEQXVwh\nmMpcZtmfBSQXm3uItIUpEkTokjU7GELiinVWgz27XgJv7noEgqt2yIIdYWrBfd0sVn/C+VqZcRqw\ntewrDI1E0DIgr1578iBJcI2YRAsClebbpZHYtM+KZpcRt40jY1qxzUock3e6zOe6FPPXGfSHOXrx\nLg5ujSG0pmNqQqHoOU32Y2FaXTwn5MVMyOmWw5A2iAOXjSFNo3ACU2rK1RaxBkUC37PfUuW82jnO\nWucIQkBGrzK4speFbIfYTYgNTSAAX9yGPmXEJj1pcSR5mlo8C2hKsU8PQS/KMmQlbI8gVyh2e1aE\nVGlismhixEXaYw9jtO+E4gKyuw8QJNrqA3fefldUzeNNy18S1JLW+rPAZ7/Lf78B/Mb3c7w3HXjQ\nWmshvn8+uX6k5VMAzz32z/W+6iPcUFWS9iGWVn6KRMv+rb490TdNKN1+tFJLSYhb/jeBwpQxiTJ2\nfHSWiPu5Y7sz729h6RtCYYqIWFs7gQrRd9xHyu63oW/LiQREat1Z0idUGSJlpdaFSJWV3lFz25Zm\naqNsr7dlSKSsdKK8K+LpKQdHemSMOpvXpinOLKG1JEdEDweteqAkyfl7mNCCmtNC7m2S0R1asQaR\np2QFtOYrDG+cpnXiJt242Fes25UX6jZeBUtGOEY7bau2SLSJFKnto7SBl2T7Vw77Qod9Yeqzc2SA\njyARCiViDNNHxzkUkp7QZLRAIhiLLK44EdXYYMHS7AnsNANxV+1q0Wozm21iCEWkNXXZoBaU8Hqz\ngMCWMcNuG1Mk+Cpm0G0ybK1zJHOeR4LD1DbeSSl/mXj/y8wVbSIVYTUyDOuETukapmxz/TQIf4QH\nWnegTAlBQsFOmLphMhcWKFY7OEKTGBqNgXjFuKPfh9vLkigdjdpAa2hF45R6WbTrg1bERt8mFaSO\njCRBSkkHi2HtsGrdRS0pMyIUBV/RtFp0WjOI8jquu0AYTJCLB7gaWqRJzSZSWbQji1r3XhAeU/4Q\nWms63b07VSmvbjNIobn73FMw9trpU29UtNYkbzy6+paRH1TJrW1PQ4UQY8A2c+8P5Bj85Gc+x83B\n/4mf+8jbeTJIoa8f2FPF8pYYDy6gEgGmzadvThMJl//+7gLEAfXI4OlLN2lEFn9zzypaJ/zOtUMc\nGK2AgHfNpjf1t74xh6V9/smppZRJSAo+vXwYLVzedXCIP3s2DbG/52g6JTpYzfCbn0/52373wWXi\nMOaiOIzvjnFhsbnT7hcupQmWv/aTJ/jdr6VpPf/yvmWSyOeKdZqjxiXCbovLjFNXFe43L2IVhviH\nD5f5lY8ewa0/R9HfSPP7Mhl++6VxYBCY4r2VNgd6abLzUlzEEppGPEYcw5/Nltk7lOfLT9f4lcQh\n7CP/QsyqX+UpvcrHP3Yap1vhs/MJxWSDD43V+PVnqoDFr71vCiEMtiKD3/nCBSCPk0n9N2ODOdbr\n6Vu/kLOpGk1+bnYJKSEoHmVLjINp8olvX2b68DquJfECeFYb3Fk+hkDQMK5wT9ijRI9x6xCXk2Wa\nqs1QnDArPP71WZtr7RL//m+OgVnma098h+rhQWKrwXB8gxGRMFL6FguN+4nCWTKOgysFf7Y6w09M\nfYpudBojnuCMtHCMU4xVH0QmLo7xDLniIkacQxTaqGtjnHzi/Zixw0vVDZaOnKXuenz0wgSBkWBP\n1Dmbr3JHOybuGFgqx9J4jebMcSacOt3lZSzDZ2wq5sn5kCO2j8ThUyvHmDQDZnIRJ4w1PExybpeJ\nt32V6PodLGfyFJSDq8AbtZk1N3CLVa4kx3lu7SrHFNzoDuEpzZEoom2E/LNzk2il+d9PuURJjlgb\nnN06TtPMsSdzmVDa1PNHuNRax9GSnHDxt+7lRXxc26eiG8TKRQhFccDijHoALQS1bpe3F9f54chf\nznT1hy0/qJL7AvC3gN/qf39+1/q/L4T4I+A+oPl6/jiAz3ymy/2/OsnhwRydMEaqmPvipzHVJj1p\nsxzmcI2E41MDKGkzXq2QdDcY3rxIcSQm0ZKCaRKJLHePO0yNpLlr+4bS75MzZVKvyDLdsIwQmnvG\nbQKrzKHBHCen00jjwcHUx7avmmXPVLqPwRaRFux1a0QD+zF2VRc0emlgYn81y+GpEqCZmR5mYf5F\nZitZghWPbjDInmyDkUKJXq2Eq+rsnRzj4ECO5laDIMkRJQ55s82d04MgJYnSbFJmegLe1v0cT/h7\nEN0c42aP5839nBpWDBYVI8PjVDLPsNkbpVOyGQhqjMiYx9sH+KWJATpNxfFEkA18RLTBiakSCou9\nwwMAVIOEqYn0RVDKpkpu33CexXw6v6rmHY6KJQYq4yyvdxjO56nm0+0Pj1ahUeVHDw/z6W/fAODQ\nu9L+nindT3fpDNXKAUw9wAE1QnDjW3TDKh3g796xxu9cm2Jy4iBaawbLLm6hQj56iEZ0iJXoMHuM\nNsXcZVbCI5Tz0xjhTT42fAMjuheVZAmtiKIZkc3Okjdz9PwpNmov0klcZDgAKORIh5pvoJUgGHco\nZx0KpsVqtclAM4+zVia5a4TmM9fIJA7LboykwuGxEgPS4OWlRUoyYrCxxIfLbdZVm9XWXu6ezFEJ\nAvZnW0g/Io4kOA3a/gGKuoTeFJQ3CrRMzSh1NmtZ9PWY/e8t8exgkXXP536vQ2x1GYjKnC1HHBks\nESSa/7RV4h+9J6UyfGhukwN2jfWNaTSCrL/KTDkkKCc45VE+vzyMmcTcmTyG0i7tJIvWkkwn4O7K\nIo3cIRqWZGwwSz73Q8gW+yuKDPy6tatCiP+XNMgwCKwB/xT4HPAnwDRwkzSFpNZPIfk3pNHYHvDf\n7a47+25y8Pgd+pN/8hXyK4+SKZbphiWa9RoABdPv++LSqeLwSJbVVR+zT1yTCBtUzGS2xnxviIzZ\n5p53/jiNrQXmLp6h6GzByLvYvH6ln56RKilLhhw9/R5q176FNXwSO19lzFVcePEh6i1JxukCMS1/\nO3VCc+LgEO7IiZ12X635JN1NThciLnYUvZUzu7b/7lIqhwivTSOostt34kiPPac/sFOmNZE3+eZf\nfI1I3Rqgg5UccW8BLQ3yhz7K0txnsbslDBSRNtGGj2vHdHup4s6a7X4Jm8A1ehQGK6jWGjWviGt4\nWJPHMfKjFJz0HGXHoBWmvlwHxZUz39qVmpNO8bNWh4HjH0ZKyd6C5KnVNCJ4ItvhwvknaAf5vmW5\ne2zduk5JQs6t4QVlQDM5XsEOlnDtx0CdYq1RwHbWyBafYKV5D3H3IJPZGlnXJ7HOYwTjGDj0Ck+w\nuPlO/O5BfKdGVJzDahzCCKv91t6ijYwq56hO5Mk1xlldtLHqBiNbRSKZTk4jF1wfULBZXMObXEVG\n4wxn1tGiTS6zQEZYnC0sYFz/GYaHJignN7lRt0msDYrVOYbCIfylKez5SQKpeWhmhQNWBhUnTN8c\nYGn/OiP7TnPx/BYnVjfRWrKQMak+cJhKJUOiNNHGy3jri+wbryAm76PQ+wrrCzdZbk4TKpsj439E\nzTvCpdJl7M3TmNYCBynQCYa5GdtYysZOssyWaxSH7uXMyzcBybtKEbl3/sybql09PlDWf/KRd76h\nbY/9wZf+ukB/txw8fof+d7/9q/Ti7eqBNAopUGSNEE1CL8mwHbE0SZjM1ln2S4QqtUCmsjUWexU0\ngozZ7WfrbxfoJztRu22I7VvhgfS76HToBNnborWvLtDXZMwetqVwHBdv4F66c8++IsJ7uy9H9qN6\nu8Ug7heqCzKGh230aIapwsvbdSaOf4TlC18DrQjiDIaI+zl3ot+m1CHvGj1Kh96N27rA1nqKBOJV\n9yHXFr9LgT79KOntCid/4B7KhRxaa/KGopuIFIDg3Gdp96HKZUpbvbOfKztICfm8Sc/zwc3RaW73\n66v7QqCouGvU/NFX9f2Yu4WQEeXSGbS/n1pvDNOukS8/xGZvH0HzfmazNWrWDfaVnmBp42MUzAzt\nyhfIhUXOLv4tktwiSXaJke4gZgDCNAl1EVP4rNoeUfEK2a07wE9dAO6KiRu6hE5InPNxCppIhjjz\nAzihzca+FQQmeysXabotus4Cs/4gdbPNfPMwmdYxEhRCpOWI45lNBtwtLnWzBEkVkvzO9e/mlzVE\nzPSJB3DcNIh2veEzkk/9ad21l9ha2tjpl7xTozL8GfJ6hPmNt+NHeWZm/wO6u581K2HNWWU8cRht\nHWKtO8aQW2epO40lNM3JP8ftFQnX3g9oqs513v7+f/CmFM+xgZL+4w++sSjtiT/8yltGyb0laldd\nEe4qmL+VfiFQaJUw8YU/perOs/1gSKEwpNcPEqQDKVECV/iAwIu3B1ifnq7/cBatOtOf/wNKdq1/\nrlsPWyso7AQJ0trX7QJ9TdW9yHahkhfnaHoF1hsWvWvfeUX0clthniNjeAxm59FbL2CKGIFmMDsH\n6B0F50gf72tfRfzuH1BxUr9JJyxz7YVHaQdF2mGZUDl9zlLRv5Zb1+wnWTYuPsHNxQ6dME8nzKNW\nV/pKXGOJ7Ty/NNgB24EczUBmiTQl10DdfITDTpdw/gJXnnuS2qUzHLTadPoWUcneIDnzKAOZFynZ\nW4DGV3l6cZ71hksnKO8oOIliwF3B0i9B+xwVZ40Bdxm99iITDz+Oa/i7+ir99hMXV0KCQvYrO7qh\nx8LSR+htHMT3PIRQWLrAlgGd3DwCzYY0MI0WJdlEli4gN7oM/j+P4vz+V7F/74uMfekrmOcfRpXP\n466/DfoK1m4Ihrt54kydbsUnLEjaGH0UE8XWeBOtHZQ2maudoNvYS695kK3WLG7kMlV8kYSY0cwS\nQ5mbjJQu0lMbSGJOWXPs/doXKLsXsGVI0arBdx6hmnk5vffaZO3iI8zEq8zEq7xzqsBhp8thp0tr\nefm2MdkLSgi7k45zGaG1JBYKK7QoJSYfCmyqscIPSgw1X0atR0SJzYizxZA/jO0PIYmpuC8x+o3X\nnVC9vmjQSr+hz1tJ3hJKLklScl+BYjBzkZJVJ29dx9IK2S8i1c/PMWC3sETERPEFVFvgyFsOVUdG\nuHZrZ3nQXSMMrpDbzfmpFpBAs3kdW0a4MmS4/ATbylCgcLlE2Xl5ZxcpFO6/+QZKzzNUuLpLcbBT\nRmaJWxEnRwYM/eGTHInXyf77rzDz9aex1CaoecR/3T5X+oBnrEsMv3wDWyma87V+soQgUa8+rkBh\n6gsMZucZyl0la6TVCK+EdNq28gSaqL7MYGaRovMyBfv6zjZFu86hy9fI9/smTvolWUlCrDRRlOw6\nFiThMtPnX+LQ5RbDtZXb2vVKKWae59jSIm+rdTlx9hJ3dFqcanc5cXUOANds39ZXoOnELo5MUNrA\nQpKzm2RuzmEaGk+MYZAhNNYpRmXcrY8x2duDbrQYDjQYIb3RhyiEXQ585TrNfQJvMh3WW/sVc+9X\nGI/HDNgbFOw6ZXsLaS1jKTgRPkU+10P2Apxli7HrA4z5LpOdNY4tPM2e3POMOAvkQwurVSFJIKM1\nnbUPY1gt6lGFLW+Ktc4empU5AkMTuwXMUsjUwy8zrjc5ogJm5m9Q+i/fomTX0/5Wr82Buh35H85d\nwxIxCkk1zGL2CjiBA1pi1EdxVtoM+wNc3vgImdZdrPYmaZkHuBnuQSSaWlBisLWX5loVK6kx8fXz\nP5QHXWtIwuQNfd5K8paoXZXy/2PvzYMsu+77vs+569u3fq/3bXqmZ8cMBsBgIQgQJEGKBMmircgq\nJnIii7K2KIpckhJbVipKKnQqKlOWHVEuh5YoO6YkUqJEURRFUSB2AgNwAAyW2dfunt63ty93Oyd/\n3Pted2OwEizVsMJfVVe/d9+955x77rm/81u/v63K6VIOUPVy5GMOLQSGEBgxi0qxxK2JdYQwaGge\nc5TQoowEAdT8BJ7cYkDlTpGB7DJNd2tBGaaNHrPIZS0qbthnqrOHLSlJkEk5BMGWq10pQasvQ8oq\nU2se3KEGaiIgUFoYIByRVDoiZrGSSEImieW6BNoaSbvF+sQ42xmSoccw4lFie5/q5QBYuk8n0CMV\nh97YivkmG9W92LoTwRWFTHh7fm6XiSoE+aE6m+2D5GJrIDq9M7wgRidm40Vt6FqA0k0O75/m6uVL\njI1PoPSt+zRtCyNuYMQsZozkjnG9lkwthYq56IARs9CsMHhbi/DTgm32xdDWKPBUyNhTzqFe0E1i\nX8CQcYGzy1ms+AaWWUMPSqBMDO8C6YGrrFWPs96YJqMUWb+JKZ7AEQphGZhxSW1QJzcvqd2hWLDP\nQ2CRWHyAUmkZuSg5732U5EWDYgCOLqnF2vjTpzFqFjlHYmqr5FMBbW8Ax7UZzVyl7BXZTC6imTX2\ndIbIGS6N2IsstjJoQqALE6uTRE+azCsdX9dJxCxqsQRuEKqouvBBD+fBV2BGcy2EBKXRcUs9uKzV\n8j2Mp6+wUlcgoWi7VFMT1NoTrDpZKq5ORq/QoA99ZR0rkcPWPYQIy7LXfYcgbmF9P4QrpVDBzSWl\nvR26KSQ5wwodC2GeaBEQlDsDCE0ihYbQNcb3rSFE+OATsoADODIRpjgJSSuw6PRseqFKWO3c0rPZ\nAXjBYPTrCN0Q1/XOQO8aEKw2jlDrjPaOKQTyU7fR9o5GRVjCmDdDBAz3dzMethiXpwxeufcevrsO\nZ977Ea4c3EcpViInpigeL7FdjW44E7SjyuaZVBhJL5Dcsmui1/cWCZYrd+Ipk4af6sXXTU8MbEtr\nU+QSXu9e6p39SDQ2OwM03YFeS+0gzqWRGE7E5AYGw9AZ0zA4OFoiEQ8ZU1diC9RAb4ayhS5o5860\nNStiopXWFE9aMXygrWs86mo87GoEkTPF3ZYlsqXqa1xsDPFieYwZVkj1/SnpvhmaryzhChtPq6H5\n3YwHk9OtEZpn7iM+n6OibNZVgQUxhG/HycwLEkuhB3DieZP9j9iM1u8gcf1jJBY/BJist0a5GvsW\nbm4Fx3RY6K+zNlyhOuiw0tqDm95k2bDQ1nUgjq4FFOJLaDLBmjPErtgyOTfGSmsQT1pkOrezX9uD\nrXt4s5cAeH56H75qs9Au4+g6zkf2047yhwcLOzNyupQwQ8m6ti17ZLMzgSZWMY1w42q5/QR2P23p\nkjHLSGJI3aWtYhQnTXzTohXYCGuDVGKIycF1Lt2++3X7+15IBupt/d1MdFNIcl6giOntCCoaQDES\nL7PaySA1gfnRu0iqMk6gowmPTpAHYZAyOqR1h3U3RScwe0xhMOuxXDW3GfxDR0bHT1A8spur/o3w\nSIcOHeLMmRAqeifopEBTY1Fbir0TRSYm9wOw6BiIlcfYXkAZBKO7lthb/BsamATX7mOhHTLXpB6L\nWgwdGk5g4bz/fiZWr3DODYEqk2aD+NghDhlxLly4SDYeoFsGqxVj27Vhf7buEB+5hQ+OOSgVJuxf\nbpnUXnwcib4j0Hh7gj4IDDFMl6nGR+5iI8oxzfdNUnNDJmEbDTwvj+Mn6b91muu7D9Jqhn3H9BaJ\nhMlm3aSvIEhkd3P92iKeMpkcXOFV/zbqeoYLtdsB6DvS5hj+trndUttDoAMbgc5m+R6eLd9Dxiyz\nu7CB0nX643V0OdLbkof6WhT6buPhagfb7ZD1AmqxJP6thxlqb+LWQ1U+NRJ6ume80LZoCBdfhcHd\nscMmpluh0k6iC5877v0Azz/9KIEyaDvTXMk2+VD/EI50sITCIkc56KASK9jSohQv0ZA2l3xBPlbB\nlIqx+Q622IM4JhjaNUtJTRCTcc7ecZyEkQZPoBEwdPBDtKL9a7nukbZCpjd++IOcefGF3jPbNzXE\nxasezy39dC/Y/ezG+0kbLRAdNDQsLaDt5RloXkSk4iTMJspcYaa6H0daLJaP0Z++ROGW6RvW/Dum\nH9AQkpuCySnA0F2ImJyhayy0C4TBhzrnmqOklQ0yTcbapOElMLU2VS9N1esyxi0JaWR4ipXqXI/p\nhR7OMFJOxmykulGATfcNkI+/Srm9EzxTIfCiaHJdBIzvPtKTYTwZvAZ7LqRckCe3/qP0AzNmja4e\nGqityvABOgpBkDFotxI9+55lCnypyA7s4gPZkBmvyxirJ8M85GLa5MCBo1yfuYw9fhhPKlQkDQol\n8WWIh/dGtt/uPXVVJ01IPKl68X+eBD+6WNfCBS0RaJbB8+0WIyoXjTNg8sjHOO6uclmFHlhxbR6F\nhtsZZ7HuINwM9+QfAyVYdvKIeBv1OqCZuvDw1M6I/UCZbFp5NBQxE6QHWvTYDDQqIka6ozNbHyZI\n1sgETZ4tJNm10egVWxGRqty1ddlGm8ALN0MjsPGcOOayQgz7BIGikNZZq4GjbLSmIiEsLjSrVNxI\n0tU61Isv0Ny8lXtue4CMusjStWXq0qa/MUFMXgdDw9E96iLJTOI8ZuUAppkgFkQ1LzQPTyqk6K6h\nrfUj7J3QXcOTBzGFzukrW3hwCoGvNFp+CN0EkDY7DLx6BoATt9/HnSOrnGnu35pLmUBY715pU4C8\nyZwKb4duCiYHO201fhB6Mk3h06qv8QFtg83hNXRnN0K0yZuQ0K8yu/7ADsmmS9Xq8g5VT25jdjoq\nsn3s7F9KSa2z81j3FD1yNgQqTM/R9e02uBtfWldvATmEsb7jvrqIxdvHpncUdhAySxR4/tZOKaUM\nQzmWLvaObTYcvnPyBaQSFIJzDO89ckP/O9Xc1//N0Fwg2Stl+Hok5da8AcR0Ay2KePd9rYctppTC\nbVa32jZqJBN5vHaTlZFLaJ5NcjFk2K+X1xtwo41PEz4tYZHA6zFdKUNG1/DTbDrQaNUw9QFihofd\nKlOMuze0HbYVzrtURu93afjEmzHsTpaGvwKaxmbNJ+ZojNTX2FsxOXUpRyPuopJhnrwGCD9Be+Tb\nXKis4hirEMQxa3vR9GbPwGAHJkU3Rqv8IJ2hJzDaOTRtd28Mb0SBv9Oh0241mV2Y4bWv6U7k63Cu\nuhS3wcPbESqkd5FN3i0pddM5Fd4O3RRMThcCP9jucQofTsJoIZwNOo1N3CmfOKBUuDtvNuIczs7h\nBiYXG8NsxaQJVtYqQOqG9nQtwF2tYPT5eOz0cNXXl24Axexel7RXqHk5QDB/5Ty7xkKbXcrM3GA3\nA6jULVpaEiu+RrVqdnEosfQWrSDZU6N1IUkvXiOoVDGOuDjSwgtMErqiVqvj1MNQl821RSCUWLdX\nvapsbLDX1NDa5d6xpJXZxni3VMKdaCiQil+n6uaRCFKmRsyIVGDZQZmh1OGryDEhfJqbNeI1HyvV\noh3E8QKLSy+f5KVWm1QmQyrWpsvCfFFmSA7hOyvQKOEHGn21VXzhoxVHI0l6a94CeWNMX8NLUxca\niaBN1THIbntcbdeg6kgy6Rx5bRVEQDPmMza/SqvTxKuFCMxdZ4eZ7gPSuIHdG2O908bun6cSTyCI\n4axVSM2l6HMVttxF1VD0N30StWFagzNUkn2Ymkds8yiul6WdLnNs4CM8V95EoaEbazhrZYQZrqEN\ns5+kbRBv9WO0VjCyNWAQX+mkTA09uv2UpZE0w7lvr+9MDtqYP0u9c2MMpqG3EX6qx7BNo0F7NYSl\nH/Rdyk6cmObQluHCU2IDf/Pdq5lK8QPpeLgpmByAZXTwvO5KDh9o1cuwZ2+FWakYDgbDSDWtgZJp\npuNDABisAyEcTldiGy3kObfisvMF1+kENpePTtBu7zT8CiT9/YNcvHB2BxPp7obLjene96H+0muu\n3e4gCMfd9I/RQAO3j1ymQiWCkqi4pWjMPj5WCA5w7zQLvkfTDQ3yMSuUGuPxGFeu1hjMJhgYGKA+\nVwMEOh6IEGggk3yN6BlRCHW+k5F0GWtX8l2oHumd+4bPRO/Q9lO0gzjz77mNlJeh6oYvjm12KJWm\nmJ27Tr6vQCKRYHk1tGkuVd5LyqyjDY5Rq4e2Rjmyzopaw3dfv1pXR+60kypA1xzawsZwDjEXSbjD\nsQqjMQ1f1rCFwpMWncBkIB3HOFziQjtLu+xgZwysWBwpXRpeOIaY0aLphcjJae8YdcfC9TVEOYl+\n+QoxLU4ztYBrLLNgDVO3kxybNVivGZCERhR/adZ3cWjkXjRcZPY8onqQijvMhT0qylYx8P0SHaOK\na7ZIjWTorIWSnKm9MWJrqjAIXO19L/WPsbS6SsPdqjwHUHVKOzbXcnuU5sfvRNMEmpmiXn3PjvPL\nrVu5HHv5Dft92/RDJve9kxNIgqE70K+fIxnzOHT8o5w58VX6rQ4ZNU5GhHn1Qjhs6j75aFMSWpNa\n317MutcLh9CQDBy6n5bxDLMLLUCQSXWoNMKMgY32nqhXxYHDt7J05SSZ0UOsOoL77r2PEycexwls\nDOFh6Q4tv5uiBH2pGk6qn67wP7fpkE671Oox4kYTKbWwmldPfRZUIofCdkpYNVpeFl+ZbLT2bPtF\nMbj/wyy1JKCz/9bjALhtxXjrO7Qch33HHkQIDZpl5mSaxYYPqa0+Ls7XSRmN3ou9nQSKlFWj7m6h\nAicLCa5VHDLdtK6YSd0NGW1+4jjVi1dRaGx2Rra1IylMvx8tnuQDu3ZxctWjpuCOg7t58ewlJPpr\n8OVeiy6siGltOjIRfh4cxl/axFcGg0WT5XUP0AnN99sxAAAgAElEQVSUTsFsMJnawAk0qgp0oVhs\nl6i7GaThIpUgbXYYilV5ubI7ZOaZ0Aza3LEHKEYmpliav0q9k6Ed2SQtPSD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vwKoLG1fK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\nQmCC\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "2U4RHZIvbyDv",
"colab_type": "code",
"outputId": "4ede57f6-2414-4686-b95a-757c6bfe0e1f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 264
}
},
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"from matplotlib import cm\n",
"from matplotlib.ticker import LinearLocator, FormatStrFormatter\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.gca(projection='3d')\n",
"surf = ax.plot_surface(X1, X2, Z, rstride=1, cstride=1, \n",
" cmap=cm.RdBu,linewidth=0, antialiased=False)\n",
"\n",
"ax.zaxis.set_major_locator(LinearLocator(10))\n",
"ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n",
"\n",
"fig.colorbar(surf, shrink=0.5, aspect=5)\n",
"plt.figure(figsize=(40,40))\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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HRqMR69atwy9+8YuURS3RaBQ7duxATU0NXnjhBQDAq6++ik996lOHAHAAPACu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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 2880x2880 with 0 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "z7x-D5G9Ka-q",
"colab_type": "code",
"outputId": "6a2b85f7-4aab-47ec-a71e-97c30e60e7fa",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 458
}
},
"source": [
"x = sm.add_constant(x)\n",
"model = sm.OLS(y,x).fit()\n",
"predictions = model.predict(x)\n",
"model.summary()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/numpy/core/fromnumeric.py:2495: FutureWarning: Method .ptp is deprecated and will be removed in a future version. Use numpy.ptp instead.\n",
" return ptp(axis=axis, out=out, **kwargs)\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/html": [
"<table class=\"simpletable\">\n",
"<caption>OLS Regression Results</caption>\n",
"<tr>\n",
" <th>Dep. Variable:</th> <td>y</td> <th> R-squared: </th> <td> 0.996</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.996</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td>1.767e+04</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Date:</th> <td>Wed, 04 Dec 2019</td> <th> Prob (F-statistic):</th> <td>4.89e-154</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Time:</th> <td>06:47:19</td> <th> Log-Likelihood: </th> <td> -169.19</td> \n",
"</tr>\n",
"<tr>\n",
" <th>No. Observations:</th> <td> 128</td> <th> AIC: </th> <td> 344.4</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Df Residuals:</th> <td> 125</td> <th> BIC: </th> <td> 352.9</td> \n",
"</tr>\n",
"<tr>\n",
" <th>Df Model:</th> <td> 2</td> <th> </th> <td> </td> \n",
"</tr>\n",
"<tr>\n",
" <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[0.025</th> <th>0.975]</th> \n",
"</tr>\n",
"<tr>\n",
" <th>const</th> <td> 2.1689</td> <td> 0.425</td> <td> 5.099</td> <td> 0.000</td> <td> 1.327</td> <td> 3.011</td>\n",
"</tr>\n",
"<tr>\n",
" <th>x1</th> <td> 2.3476</td> <td> 0.079</td> <td> 29.787</td> <td> 0.000</td> <td> 2.192</td> <td> 2.504</td>\n",
"</tr>\n",
"<tr>\n",
" <th>x2</th> <td> 5.1077</td> <td> 0.102</td> <td> 50.210</td> <td> 0.000</td> <td> 4.906</td> <td> 5.309</td>\n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <th>Omnibus:</th> <td> 0.820</td> <th> Durbin-Watson: </th> <td> 1.811</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Prob(Omnibus):</th> <td> 0.664</td> <th> Jarque-Bera (JB): </th> <td> 0.553</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Skew:</th> <td> 0.154</td> <th> Prob(JB): </th> <td> 0.758</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Kurtosis:</th> <td> 3.096</td> <th> Cond. No. </th> <td> 26.2</td>\n",
"</tr>\n",
"</table><br/><br/>Warnings:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/plain": [
"<class 'statsmodels.iolib.summary.Summary'>\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.996\n",
"Model: OLS Adj. R-squared: 0.996\n",
"Method: Least Squares F-statistic: 1.767e+04\n",
"Date: Wed, 04 Dec 2019 Prob (F-statistic): 4.89e-154\n",
"Time: 06:47:19 Log-Likelihood: -169.19\n",
"No. Observations: 128 AIC: 344.4\n",
"Df Residuals: 125 BIC: 352.9\n",
"Df Model: 2 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"const 2.1689 0.425 5.099 0.000 1.327 3.011\n",
"x1 2.3476 0.079 29.787 0.000 2.192 2.504\n",
"x2 5.1077 0.102 50.210 0.000 4.906 5.309\n",
"==============================================================================\n",
"Omnibus: 0.820 Durbin-Watson: 1.811\n",
"Prob(Omnibus): 0.664 Jarque-Bera (JB): 0.553\n",
"Skew: 0.154 Prob(JB): 0.758\n",
"Kurtosis: 3.096 Cond. No. 26.2\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"metadata": {
"tags": []
},
"execution_count": 67
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9eVIOvxRFBAL",
"colab_type": "text"
},
"source": [
"# Dengan Stochastic Gradient Descent."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "G7wUMhcuubsf",
"colab_type": "text"
},
"source": [
"![alt text](https://miro.medium.com/max/434/1*1qHvv7r1OGCYS7XLqKcL0A@2x.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "r99Tb3wmv8Wr",
"colab_type": "text"
},
"source": [
"Algoritma\n",
"1. Inisialisasi weight\n",
"2. Feed Data\n",
"3. Hitung y_hat\n",
"4. Hitung Loss\n",
"5. Update w1,w2,b\n",
"\n",
"![alt text](https://miro.medium.com/max/1530/1*03nH5y_8czFZkwKLMiHl6w.png)\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "4q53pNSkxxpj",
"colab_type": "code",
"colab": {}
},
"source": [
"def predict(row, coeff):\n",
" yhat = coeff[0]\n",
" for i in range (len(row)-1):\n",
" yhat += coeff[i + 1] * row[i]\n",
" return yhat"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "UkHOUhispQBh",
"colab_type": "code",
"colab": {}
},
"source": [
"def coeff_sgd(coeff,train, l_rate, n_epoch):\n",
"\n",
" for epoch in range(n_epoch):\n",
" sum_error = 0\n",
"\n",
" for row in train:\n",
" yhat = predict(row, coef)\n",
"\n",
" #Hitung Loss\n",
" error = yhat - row[-1]\n",
" sum_error += error**2 \n",
"\n",
" # Update intercept (b)\n",
" coef[0] = coef[0] - l_rate * error \n",
" # update w1 & w2\n",
" for i in range(len(row)-1):\n",
" coef[i + 1] = coef[i + 1] - l_rate * error * row[i] \n",
"\n",
" # print('epoch=%d, error=%.3f, yhat =%.3f, y_expected =%.3f, ee =%.3f' % (epoch, sum_error, yhat, row[-1],(yhat- row[-1])**2 ))\n",
" return coef,sum_error"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Mnc85dFtqZKg",
"colab_type": "code",
"outputId": "16655a2f-ceda-4dac-9bd7-4cb3cd254ea3",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 33
}
},
"source": [
"dataset = df.values.tolist()\n",
"coef = [2,2,5]\n",
"learning_rate = 0.05\n",
"n_epoch = 1000\n",
"coef,err = coeff_sgd(coef,dataset, learning_rate, n_epoch )\n",
"print(coef)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[2.0657974354892965, 2.2304948861493408, 4.844081434428612]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "CHYVyFZeRrKr",
"colab_type": "code",
"outputId": "d43991ae-5b5c-41af-a9b7-9083707c4b8d",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
}
},
"source": [
"def new_y(x1,x2):\n",
" return 2.0555998994546973*x1 + 2.258225227005609*x2 + 4.984998341356117\n",
"\n",
"def z_func(x1,x2):\n",
" return 2.1688913359202786 + 2.34761294*x1 + 5.10767891*x2\n",
"\n",
"y_new = []\n",
"for i in range(len(df)):\n",
" y_new.append(new_y(df.x1[i],df.x2[i]))\n",
"y_new = pd.Series( (v for v in y_new) )\n",
"\n",
"y_new2 = []\n",
"for i in range(len(df)):\n",
" y_new2.append(z_func(df.x1[i],df.x2[i]))\n",
"y_new2 = pd.Series( (v for v in y_new2) )\n",
"\n",
"plt.figure(figsize=(15,10))\n",
"plt.scatter(df.x2, df.y, color='blue')\n",
"plt.scatter(df.x2, y_new, color='yellow')\n",
"plt.scatter(df.x2, y_new2, color='red')\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(15,10))\n",
"plt.scatter(df.x1, df.y, color='blue')\n",
"plt.scatter(df.x1, y_new, color='yellow')\n",
"plt.scatter(df.x1, y_new2, color='red')\n",
"plt.show()\n",
"\n",
"# plt.scatter(df.x1, df.y, color='blue')\n",
"# plt.scatter(df.x1, y_new, color='yellow')\n",
"# plt.scatter(df.x1, y_new2, color='red')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
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v+bq54qpnKrq54mr70tFKVLKG5v6HzgKp3Tu32GoFlTZjgseQs4/V39CRNQLa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\nAAAwAP8fGiE+iLYU2rEAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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hDghvAAAAyNyph9HLBuOOFyn7ZirfMvXvLZUzALpKHS+RF8IbAABAHrLuk+/a6SRvDVmY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\ngB4Q3gAAAHpAeAMAAOiB/wcgs3CXr1me1AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "-QnfmGZjmuvS",
"colab_type": "code",
"outputId": "31b5af85-e1a4-4559-da59-fee625fceeb0",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 845
}
},
"source": [
"fig = plt.figure(figsize=(15,15))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"\n",
"\n",
"ax.scatter(df.x1[:30], df.x2[:30], df.y[:30], c='b', marker='o')\n",
"ax.scatter(df.x1[:30], df.x2[:30], y_new[:30], c='yellow', marker='o')\n",
"ax.scatter(df.x1[:30], df.x2[:30], y_new2[:30], c='r', marker='o')\n",
"ax.set_xlabel('X1 Label')\n",
"ax.set_ylabel('X2 Label')\n",
"ax.set_zlabel('Y Label')\n",
"\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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rKyt4+PBhRde9WDQaRX9/P/r7+wEcrnFLpVJYXV3F7u4uWlparHDV0dFRMDhl\nZco+nJJmP15TZ0QiEcRiMZw/fx4dHR22NLSgo/w+za+1tdXr0wg8himiPPlNJsz55l6yO0yZn1RG\nIhHcv3+/ooenl3tdBWWan7lnlxACiUTCluYSsVgMg4ODGBwctCqpqVQKjx49wv7+Ptra2qxwxSBF\nfsYw5Zz8a+tEt0A6nOZXaoq8HxiGYWszIyqNV5gIpZtMBC1MbW1tYWpqCs8//zwGBwerOocgBBqv\njr23t4dkMonz589jeHi45KCx3oGkJElobW1Fa2srhoaGIIRAOp1GKpXC4uIiUqkUFEVBf38/enp6\n+Ekl+QrDlHPKVU0qDVfxeBzd3d0clB/Dz5Upcgd/M6jpGYYBVVWPNJnwsiJjsmOAYRgGFhYWkEql\ncPfu3aoH0l5PtWvUaX7VTqe0kyRJaG9vR3t7O86ePYupqSn09PRAURTMzs4il8uhs7PTqlzFYjHX\nzo2oGMOUc6oZ6B8Xrra2tvDgwQOGq2P4tQGF+fzi75bz+JtATUsIAV3XoaoqABxpMuGHylS9MpkM\nxsbG0NfXh9HR0Zpuql6GykatTGmahomJCciyXPF0SifJsozW1lYMDg7i/PnzMAzDasM+OTkJVVXR\n3d1thatIJOLp+VJzYZhyTj2b9jJcVcbPDSjIHc35zqemZzaZ0HX92E59fqhM1ePJkydYXFzE9evX\n0dPTU/P3YWv06uzu7mJ8fBwXL17E0NCQA2dWP1mW0d3dje7ubly8eBG6rmN3dxepVAqPHz92dAPh\nRseBv/14TZ1j56a9pcLVzs5O04crv07z8+t5BVFzvNOJ8uQ3mSjX8lyWZei67vLZ1c9sdqDrOhKJ\nRN1VhmauTFXzuoUQWF5exsrKCm7duuWrdrQnXcdQKGRVpYDD99DOzo61gTAXppOTGKac4+SAOhKJ\nFGzf0KzhStd1X94TM5kM2travD6NphDMdzZRCaWaTJTTiJWpnZ0dTExMlG12UK1GCjR2H7vS162q\nKiYmJhCJRJBIJHz5YK1GOBxGX18f+vr6AHx7es/m5iYWFhYKwldXVxc//aS6MEw5x81r26zhyq8V\noIODAzYbckkw3slEJziuyUQ5jRSmhBBYWlrC06dP8fLLL9u643kzV6YqOfbOzg7Gx8dx6dIlnDlz\nxoUzq16917F4eo+iKEilUlhbW8Ps7Cyi0WjBBsIcGFM1GKac5dW1bZZw5dfK1MHBga1jATpeY75z\niSp0UpOJchrl4Z7L5ZBMJtHR0YFEImH7J2RcM1WaEAIPHz7E2toabt++3VQPrWg0ioGBAQwMDACA\ntcfV48ePsb+/X7CBcHt7ewVgc7UAACAASURBVMP8LhEFjVf3z+lpGZ/9bAS5HPBDP6ThPe/RAxuu\n/FqZ4jQ/9zTGO5WoBkIIKIpSVTXKr4775HZjYwOzs7O4cuWKVTWwm9eVKT9WxVRVRTKZREtLiyMB\n1m5OB+KWlhacOXMGZ86cgRACmUzGWm9lfjpqhqvW1tZA/i5SfXhNg2NuTsIHP9iCXA4IhYAvfSmE\nf/2vc3jf+wrXIAclXPm1NXo6nWaYcok/35lEdTKrUSc1mWgE5kA4/zUYhoGZmRmk02ncu3fP0X2C\nvA5TfqtMbW9vY2JiAi+88IJVmaFvkyQJbW1taGtrw/DwcMEGwgsLC0in0+js7LQaWnBOP5FzvHj2\n/af/FEY2K6Gv7/D+ub8PfOYzkSNhqlijhis7OybaiWHKPf54JxLZpNomE43ADDPma9nf30cymcSZ\nM2dw9epVxx+WXgcarxS/7vx1aXfu3Gmoh5TXP8P8DYSFENjf30cqleIGwkQBZBhAWKi4nJ6AgIRx\ncQ2GUf2aokYKV378wJZrptzDMEWBUUuTiUZghikhBFZWVvDo0SPcvHkTXV1drh6/2eQHEEVRkEwm\n0d7e7ti6tGYhSRI6OzvR2dlZcgNhTdPQ3d1tVa78uIFwM/28iKr1gfel8N2/909xPjcHSRJYjLyI\nzP/0BwDq+wCqknBlbj7udbjyg0wmwzDlkuZ+p1EgFDeZCEI1Kp8sy8jlcpicnEQ4HEYikXD1IeFl\nVcNL5uve2trC1NQULl++jP7+fq9PqyZ+/hmW20B4eXkZQghrgMQNhImq48Xv/fUv/VsYfZN4nD0N\nwwDeFZ1AdOnfQsVHbD0Ow1V5nObnnuZ6Z1HguNFkwusF55qm4e2338bly5cxODjo+vGbtTIFAKlU\nCtvb27h79y7X9rjE7xsI+zWUEhXz6tklLy4i3BnFpeF3fld2ozAWFx0/bnG40jQN29vbSKVSTRmu\nDg4O0NnZ6fVpNIVgv5Mo0My1UU42mQiFQjAMw5M9JAzDwOLiIg4ODnDr1i3rAeE2SZKg6+UXDgdN\nLpfD3NwchBD4ju/4joavdvq5MnUSbiBMVBuvwpRx6xZCX/va4T1HCEi5HIxbt1w/j3A47Hi4EkL4\n9t6ayWQ8+QC2GTFMUcNxs8mEWZVxO0xlMhkkk0n09vbi1KlTiEajrh4/n5d7PXnh2bNnmJ6extDQ\nEDKZDAfnPsMNhIkq49X+R+oHPwh5Zgahv/kbAID+6qtQX3/d9fMo5kS48msnP4DT/NzEMEUNxe0m\nE7IsQ9d1VxfBr62tYWFhAdevX0dPTw8mJiY8DTPNMs1PCIGFhQVsbW1hZGQE2WwW6XTa69OiE5Tb\nQHhvbw+tra22byDMgEZ+lckAf/RHEUxOyrh4UUYi4f6sCsRiyP32b0N69gwAIPr6AB/+zpwUrgAU\nTCkuFa78uscUcBim2IDCHQxT1BC8annuZpDQNA3T09PQNA2JRMIKcF5uXGseP+iVqWw2i2QyiXg8\njnv37llNP4LyupvhZ2hqpg2EifIJAfyLfxHDV78aQiwm8MYbMfzt317B/fuA68uDJAnCo6nptaol\nXHm1DKASDFPuYZgi33OjycRx3ApTu7u7GB8fx/nz5zE8PFzwGr2uDHl9fKdtbm5iZmYGV69etdbl\nAM0VQIKq1AbCBwcHSKVSmJ+fRyaTKdjjqqWl5cTvyfcE+dXamoQ33gjh9GkBSQI6OgwsLbVhcVHC\nlSvBvYc7pZJw1d7eDlVVoWma7xpaZDIZTvNzib9+8kR5iluee7F3lNmAwilCCDx8+BBPnjzBrVu3\n0NHRceTfeB1mghoqDMPA/Pw8dnZ2cO/evSObxQbpdQfptdRDkiR0dHSgo6MD586dgxDC2uNqenoa\niqKgq6vLClderlUkqtbRx+NhqJIk/u7boVS4Wltbw+7uLt5++20AJ08LdBMrU+5hmCJfKp7W59VU\nHCeDTC6Xw/j4ONra2nD//v1jpy56Haa8Pr4TstksxsbG0NfXh3v37pV8fwUpgATptdhJkiR0dXWh\nq6sLFy5csDYQ3trawsrKCnRdL9jjyo8bCBOZBgYEvvM7dfzt3x5O88tmZTz/fAbPPXdyxZWqFw6H\n0dXVhf39fVy9erWmNVdOSqfTJT+gJfsxTJHvGIaBx48fo6WlBV1dXZ6uaTAbUNjNnFp25coVqytZ\nuXNo5sqUeXy73gcbGxuYnZ3FtWvX0Nvbe+Jx3cK1O97L30D4ueeeg67r1h5Xjx49sqYcp1Ip9PX1\nef7JcxAw5NtHkoCPfzyHP/mTMCYmQjh7No1XX32EcPiK16cWWLquW2umKl1zZf7n9P2DlSn38ElA\nvpFfjdrb24MQAt3d3Z6ek91BxjAMzM7OYn9/v+TUMjfOoVpeH9+uMGUYBubm5rC/v4/R0dETp3B5\nHSLtFKTX4qZQKITe3l4rdGuahr//+7/H9vY2lpeXIUlSwR5Xfl2ITs0jFgM+9CENgIadnX2srfH3\n3knl2s8fF662t7extLQEwNlwxdbo7mGYIl8obnnu9FqlStkZJA4ODpBMJjEwMIAXX3yx4nDgdZjx\n+vhmN8N6OjhmMhmMjY3h9OnTuHv3bkXXngGEioXDYUQiEVy6dAmRSMTaQHhjYwPz8/PWBsK9vb3o\n7Oz0bctkP/FqY9lm4NU+U82kmmtcKlyZlW8nwpWmaVz36RKGKfLUcU0mghSmhBBYWVnBo0ePcOPG\njaqrbX4IM36Y5lerp0+fYn5+3tq3y63j+kmQXoufFG8gnMvlsL29jSdPnmBmZgaxWMyqXHV0dDA0\nlMAw5RyGKeflT/OrVjgcRl9fn9VF1ulwRc7hT4Y8I4SAqqrQdf1Ikwmn1ipVq94go6oqJiYmEAqF\nkEgkaroZer3PlNdhTpblmoKAYRiYmZlBJpOpaFpfMQYQqlYsFivYQDiTyVhTAp3aQLjRMUzZTAjI\nb70FaWcHcl8fJDYgcJSdgdXOcMVnl7sYpsgThmFAURTrQVr8MA2FQla1ykv1VMhSqRQmJydx6dIl\nnDlzpuZz8DrMeB0qagmT6XQaY2NjGBwcxNWrV2sarLn9ujmobByV/pxaW1vR2trKDYTL4PveRkIg\n+hu/gdBf/zUgy+jXdagf+Qhw6ZLXZxZY9VSmTmJHuOLvljsYpshVxS3Py7UD90tlqtpQJ4TAwsIC\nnj17hjt37tS9ANTrMOX18asNNWtra1hYWMCNGzcQj8ddO269nHzoeR2Ig6TW6+jEBsJBwDBlH/mb\n3zwMUv39gCRBT6Uw8Ad/APGDP1hqEyp6hxDAb/1WFJ/85OHshZ/4CQUf+5iCSgpOhmG4ti7ppHD1\n1a9+FdPT0/ju7/5ufM/3fE/V3z+bzeI973kPcrkcNE3Dj/zIj+DXfu3X8ODBA7z22mt49uwZRkZG\n8Md//Mdci1WEYYpcU9xkotwDNBQK+SZMVRMkMpkMkskkenp6MDo6akv5v9HCjFfH13UdMzMzyOVy\nSCQSde8J5Obr5mCy+XAD4UMMU/aRtrcP71vvXE/R0oLQxgY0wwDYafJYn/50BH/xu4v4hey/hwEZ\n//F//+9x+vQQfu7nTv4gVdd1z9alFYer559/Hl/84hfxpS99Cb/zO7+Dp0+f4pd+6Zfw3ve+F6+8\n8sqJ67VjsRi+8IUvoKOjA6qq4pVXXsH3fd/34ROf+AQ+8pGP4LXXXsOHP/xhfPrTn8ZP//RPu/ES\nGwbDFDnuuCYT5XgdIGo5D7PRwUn7Fzl5Dk5ohOMfHBxgbGwMQ0NDuHbtmi2DM69DpJ28XndHJyu1\ngfDu7i5SqVSgNxBmmLKPcfnyYQUqnQZaWxHa3ETu6lW27D/B1J+O4cvZ96EVGQgAv5j9HXz43/8N\n8HMXTvxawzB8c317enrwgQ98AB/4wAewsbGBD37wg/je7/1efOlLX8Jv/uZvwjAMvPLKK8eGK/MD\nHuBwvbeqqpAkCV/4whfwuc99DgDw+uuv42Mf+xjDVBGGKXJUuSYT5TRSNz9d161Pku2oiNRyDk7y\n+vgnhZrV1VUsLS3h5s2b6Orqcu24RE6SZdlaC3HcBsLxeBw9PT3o7u5u2E5fDFP2ERcuIPfrv47o\nxz8O6ckTZC9fxrOPfhQDXp+Yz3348b9EGw4gIEMC0IE9fHjjNwB86sSv9WvHxHQ6ja6uLrz//e/H\n+9//fgDA3t4e/u7v/g5f/vKXsbKygp/6qZ868nW6rmNkZATz8/P4mZ/5GTz//PMF67HOnj2LlZUV\nV19LI2jMuy81hJOaTJTjpzVT5YLE7u4uxsfHce7cOZw9e9aRQYHfw4xXx9d1HVNTU9A0reZOibUc\ntxEF6bX4gReD/1IbCG9vb2NrawsPHjxo2A2EGabspb/yCjL/5b8AqorVtbXATg+104sDKeDpt/+/\nBIE7l7Yr+lonG1DUI51Oo729veDPOjs7C8JVKaFQCG+//Ta2t7fxwz/8w5iennb6VAOBYYpsV2mT\niXL8Upk67jyEEHj06BFWV1dx69YtqzTuhFpbg9vF64FOqde/v7+PZDKJs2fPOhZi3X7dHFQ2Br+E\n0uINQFVVRSqVwvr6Oubn5xEOh61w5ecNhPm+d4AkAdGob6smfhP6Jz8K+V9OQGSyh3/Q0orYB38E\nWgVf69drnMlk6mp+FY/H8eqrr+KrX/0qtre3oWkawuEwHj9+jOHhYRvPNBgYpshW1TSZKMfPlSlF\nUZBMJtHW1oZEIuH4p1LNvt6l+PWvrKzg4cOHeOmll9DZ2enhmdmL3fyoHpFIBP39/ejv7wdwuIFw\nKpXC6uoq9vb2fLuBMN+XzjGfw1Se+pM/CezuIvqpTwGyDOWf/TNo//gfV/S1fg1T+/v7VYepjY0N\nRCIRxONxZDIZ/NVf/RV+5Vd+Ba+++ir+/M//HK+99ho++9nP4gd/8AcdOuvGxTBFtihuMlHvzcXr\nqW3555Ef6jY3NzEzM4MrV67g9OnTrp2DH66FV8wgoGkaJicnAcCRaX1EQRKLxTA4OIjBwUEAsPa4\nevTokTXQMsNVW1ubp4NuDvidIYTw5UDfdyQJ6kc/CvWjH636S/06za+WytSTJ0/w+uuvQ9d1GIaB\nH/3RH8UP/MAP4Pr163jttdfwq7/6q7hz5w4+9KEPOXTWjYujEaqbEAKKotRdjcrnt9bohmFgbm4O\ne3t7GBkZcXUPGIYpCQcHB5iensb58+dx9uxZr0+p4bAyReYGwkNDQxBCIJ1OI5VKYXFxEel0Gh0d\nHQV7XLkVcDjNzzl+rZoEiV+vsfk7XY1bt27hrbfeOvLnly5dwte//nW7Ti2QGKaoLmY1qpYmE+X4\nJUCYm/Z+/etfx8DAAEZGRlx/8PvlWnhBCIH9/X2sr6/j7t27jq5NI6pEEAb/kiShvb0d7e3tOHv2\nbMEGwnNzc8hms1a46u3tRSwWc+xcgnA9/YqVKed5uc9UOel0uq41U1QdhimqiR1NJsrxw8NVCIGn\nT59iZ2cHiUTixA3vnNKsYUrTNExMTCCXy+HKlSsMUnVgZYrKKd5A2DAM7O/vY2trC5OTk1BVtWCP\nKzs7xDFMOYdrptzBMEUMU1Q1u5pM+Jk5kJckCZ2dnZ4FKaA5w5TZcv7ixYtob28P5HuMyK9kWbY2\nEL548WLBBsKPHz+2dQNhhinn+HUKGjkvnU6jr6/P69NoGgxTVLH8JhNOVKP8Ynt7G5OTk3juuecw\nODiIr33ta56eTzNVFYQQWF5exsrKCl5++WW0t7djcXGxaV6/U5rpPUT2K7eB8MOHDwHA2kA4Ho9X\ntSCfYco5vLbNq97W6FQdhimqiBNNJvxGCIHFxUVsbm7i9u3b1o3I60GoX6610w9mVVUxPj6OaDRa\n0HK+2VvDE/lNuQ2EFxcXEQqFrHDV3d1d9oM3Dvidw8qU87weHxzn4ODgyKa95ByGKTqRuTbK7iYT\nfpLNZpFMJtHd3Y3R0VE+gIqYlQ2nfvY7OzsYHx/HpUuXcObMmZLHptrxGtqHg/+jijcQVhQF29vb\nWF9fx9zcHCKRyLEbCPN6OodhqnmxMuUuhik6ltNNJio9B6cftE+fPsX8/DyuXbtmfdJKhZwajAsh\n8PDhQ6ytreHOnTslb/4MAkSNJRqNVryBMJskOIfX1ll+/iAgnU6zMuUihikqyTAMKIriaTXK3GvK\nqc1ZdV3H9PQ0FEXB6OiorR2qgsZsgmHn5oSKomB8fBytra1IJBLHhvVmbMBhNwZS8lK5DYR3dnYg\nyzKi0agvNhAOErZGd5afK3/s5ucuhikq4IdqlMnJQfTe3h7Gx8cxPDyMc+fO8eF9ArsH46lUCpOT\nk3jhhRcwMDBw4rEZpoiCI38DYXP7CQAlNxBubW31+Gwbl58H+0Gg67qtHzDaqZZNe6l2DFNkMfdV\nMtvieh0wzMqUnYQQePToEVZXV3Hz5k10dnba+v2Dyq5gK4TA0tIS1tfXj53WV4xVlfrxGtrL63tj\n0ESjUZw9e9baQHh/fx+pVAqzs7PI5XLo7Oy0wpWTGwgHjZ+noQWBn8Mqp/m5i2GKClqe7+zsIBwO\ne7qvksnuypQ5raylpaWgW1wlmv2hZMfPQlEUJJNJtLe3V9Xkw+sg0Ow/eyInFU9FM/f26+zsxPnz\n52EYBvb29qxqtpMbCAcR713O0XXdt2Eqk8kwTLmIYarJCSGgqip0XYckSQiHw7ZXg2oVCoVsC1PP\nnj3D9PQ0Ll++bC2KrpQT64Vq4eWgvt5As7W1hampqbquvxec7mLoFq8DKdFxTnpfyrKM7u5udHd3\nWxsIm3tcmRsI5+9x5dQaW6JifhgXHCeXy/GDBhfxrtPESjWZCIVCUFXV61MDcPgQrTfYGYaBubk5\n7O7uYmRkBC0tLTWdh9c3Ta/PodZAk7931927d2ta/+BlEGAIIXJeNR9WyLJsTfkDDqsD29vbSKVS\nWFpagiRJBXtc+XWwS43Pz9P8APj63IKGYaoJlWsy4cQ6pVrVey7pdBpjY2Po7+/HvXv3aq4u2Fkh\nq5XXYaqWUJHL5ZBMJtHV1VXX3l0MU/ULyuug4Km38hsKhdDX14e+vj4Ah5t/b29v49mzZ1hYWEAo\nFLLCV1dXFweYZBu/NqDgvd59DFNNxjAMqKpq7T9R/BCzoxpkl3qmd62urmJpaQnXr19HPB737Dzs\n4vU5VHt8c1rllStXcPr0aVePbSeGECJn2T2NNhKJ4PTp09Z9x9xA+OnTp5idnbU2EO7t7UVHRwfD\nlQ9JDx6g5Rd/EfLCAvQ7d5D9xCeAd8Kyn/i9MtXo09MbCcNUk8hvMgHg2L2j/FaZqnYQrWkaJicn\nAQCJRMKW+fN+CJheh6lKQ4UQAvPz89je3q55WmWtx3aCm8d28sHHUEh+5fReSMdtILyysoK9vT20\ntLRYlav29nYOQL22v4+27/9+SM+eAQDCf/EXaFtaQvqLXwR8Flz82oAiCOt8Gw3DVBMobjJR7pfM\nD1PaTNWGmO3tbUxOTuLixYsYGhqy9Ty8viZen0Mlx89ms0gmk4jH43VNqyzWLGGKqBm5PfDL30BY\nCIFsNotUKoWHDx9if38fbW1tVrjiBsL10AHIAKq7fqG33gLS6W8HJyEgz89DWl2FOHvW9rOsh9dr\nqY+jqiqbT7iMYSrgSjWZKKcRK1NCCDx48AAbGxu4ffu27bt+ex1kzHPwclB/0jXY3NzEzMwMrl69\naq1dsAvDVP04ICS/8rpLaf4GwkIIpNNppFKpht9A2Lv71gEikU8hFPp7CNEKVf0QDCNR8VeLWAyS\nYQBCAOb7QtcBH157v07zOzg4aKj3ahAwTAVUuSYT5fgpTFVSmTKrId3d3XU1OTjpPLwOU5Ik+XKa\nn2EYmJ+fx87ODu7du+fIhppcM2WPoLwOChY/TUmSJAnt7e1ob29v+A2EvbqukcgfvROkzgLIIhr9\n35DL/TqEuFjR1xsjI9Bv3TqsUOVyQEsL1A98AMKHa6Z0XfdlBejg4IB7TLmMYSqATmoyUY4f1geZ\nTmrTvr6+jrm5OUeqIfn8EKa8PodSx89msxgbG0NfX5+t0/qKNUtlysnBT5BCIQWLn8JUsZM2ENY0\nDV1dXVa4ikQiXp+yxauqSSj0LQgxiMPpfa0ABGT5IXT9YqXfAJnPfx6RT38a8uws9NFRaD/2Y86d\ncB38WpnKZDK2z9Ch8himAqTSJhPlNEJlStd1zMzMIJvNYnR01PFPhvywjszrMFU8GDeD7LVr19Db\n2+vqsd3EEELkLD+HqWLFGwjruo7d3V2kUiksLy/DMAzfbCDs1HUV65vY/4uvItQeRdv3v+fI9Dsh\negFsA+gBIAAICNFR3UFiMWy//k+xvy/h9Gnht74TFr82oGBlyn0MUwEhhICiKDVVo/J5PWjPV+pc\n9vb2MD4+juHhYVy7ds2Vh7AfronX52Ae3zAMzM7O4uDgwJUgCzBM2SEor4OCp5HCVLH8PayAw26y\nOzs7vthA2Imqyd435iB93wcQUnIABNZPX8Spb34ecnen9W8U5ScQi/0rAI8B6ND1ezCM21Ud59/8\nmwg+8YkYZBm4eNHAn/95BmfO+O/+5dcGFOl0mmumXMYwFQBmNarSJhPl+Omhll8lE0JgeXkZKysr\nuHnzJjo7O0/4avv4Yeqj12FKkiTkcjm8+eab6O/vx4svvujae4VrpoiCq5HDVLFwOFxyA+HNzU3X\nNxB2Ikw9/fFfxYXcHrJyKyAE4hvzmPrIZ3HjD3/W+jdCvIBc7n+BJD0A0AbDeBFA5YHjr/86hN/7\nvRiEAAwDmJ+X8FM/1YL//J8ztr4WO/h1ml86nWZlymUMUw2s1iYTjcKcXqcoCsbHx9HS0oJEIuH6\nJ0FeBxk/nMP+/j7W19dx+/Zt61NYtzRDZcocTDo1sGQoJL8K8vuy1AbCqVQKa2trmJ2dRTQatcJV\nZ2enrb/7TtxLYs+eQJPeGTZKEmRDR3r6cYlj90GI2tYxj42FkMsB5vIzSZIwNua/6g9w+EG2HytT\nXDPlPoapBlVPk4lGIcsy0uk03nzzTbzwwgsYGBjw7DyatTJlGAZmZmaws7OD8+fPux6kgOYIU/v7\n+5ienkZrayt6e3sRj8d9+ZAmckIQn1+lRKNRDAwMWM8yc4+rx48fY29vD62trbZtIOxE1WTuzLvR\nv/R/HO79BAOaFMHenVdsPcbwsIFY7LAbuiQdVqeGhvyx9KCYXytTXDPlPoapBlPcZMKPv8h2MAwD\njx49wt7eHt71rnehpaXFs3ORZblsV0E3eBEo0uk0xsbGMDg4iK6uLiiK4urxTUGf5re6uoqlpSVc\nvnwZqqpia2sLi4uLCIVC6O3ttT61rud3nZUp8qsgTfOrVktLC86cOYMzZ85ACIFMJmOttzIHxPl7\nXFVznZwY6F/+D7+Kr766jlcO/hIGZPzfl34e/81v/0Nbj/GP/pGGz39ew9/9XRihkEBLC/DJT2Zt\nPYZd/FqZ4jQ/9zFMNRC7mkxUeiyvHnDpdBrJZBLxeBxdXV2eBimgObv5ra2tYWFhATdv3kR3dzfW\n1tYCHWi8OLZhGJienoaiKEgkEjAMA0IInDp1CsDhlKCtrS2srq5ib28PLS0tVrhqa2tr2gEoBUsz\nh6l8kiShra0NbW1tGB4ehhACBwcHSKVSmJ+fRyaTKdjjqvRzUUCWJyFJuwhlgK435xF69gz6vXuA\nDXtinXuxFfGZT+HNb2qItcn4obsy7G5YGAoBn/tcFm++KWN3V8KdOwZOnfLnB0F+rUyl02kMDg56\nfRpNhWGqQZhro+xoMnESMzx48YnL6uoqHjx4gBs3bqCtrQ3f+ta3XD+HYl6vVzLPwY2phrquFwzw\nzX1TghpovDp2ftXP7EpZXPmLRqMYHBzE4OBgwafWi4uLSKfT1sCqt7fX15uHEpXDMFWaJEno6OhA\nR0cHzp07V7CB8MzMDHK5HLq6uqxugbFYFOHwnyIc/luI/TROJ7+I3v8aRvgbbTCefx6ZP/1TwIbG\nTZ2dwHe+19mhoywD9+/7c2pfPj+HKVam3MUw5XNeNJkwB+5uhilN0zA5OQkhBO7fv49wOAxd1z1f\nqwT4Z82U01MNDw4OMDY2huHhYZw7d65ggONloJRlOVBhytyj6/r16xWvQSv1qXXx5qHd3d3Wp9bF\n+9twmh/5FcNUZY7bQHhrawtPnjxBOLyCK1f+X8jyc+j6wheBxyrk/1aHmOmFPDODyGc+A/Xnf97r\nlxEofg1TbEDhPoYpH/OqyYTbG/fu7OxgYmICFy5cwPDwsPXnfqgI+eU8nD4Hc93OzZs30dXVdeTv\nva4OBWGKoRACc3Nz2N3drXuPLkmS0NXVha6uLly4cAG6rlv72zx8+BCSJFnBqru725bzJ3ICw1Rt\n8jcQBgAhWiFJ7Tg4UKFubCCkyJBkASOsIwRAXl729oR9TJbfQCj09xDiNDTtBwBUvrTAj+9dVqbc\nxzDlQ/lNJrxoee5WmBJC4MGDB1hfX8fLL7985JffLzepIIcpXdcxNTUFXdeRSCSOVDScPn4lvHwf\n2BWmcrkcxsbG0NPTg5GREdtfk9msore3F8Dh/japVMqqgoXDYSiKgr29PXR0dPjmd4uIYcoeknQW\n0WgPYjEN8gsXID39FvTFFug7OgxNw+KpU1AWFjzZQNjPwuE/e2eTYR2AhHD4/0I2+xkAJ3/Y5ddq\nPytT7mOY8hk3m0wcx40wlc1mkUwm0dXVhUQi4ctSuckPDSicqM7s7+8jmUzi7NmzOHv2bNn3mpdT\n7bxkR5ja2trC1NQUXnzxRau5hNMikQj6+/vR398PANjd3cX09DQePXqE/f19q0tYb28vWltbXTkn\nolIYpuzSAVX9eYTDnwO+S4f+xxmE/90qYooC9fXXMfgLv4Dt3V1PNhD2LwPR6CcgRDsOw5OALE8h\nFPoKdP29Hp9b7dga3X0MUz4jhPB87yinw4P5afnVq1etneL9LIiVqcePH+PRo0d46aWX0FnBomQv\np9p5qZ4wJYTA0tIStqmMGAAAIABJREFU1tfXcffuXU9DSywWQywWw40bNwq6hM3OzloL2c2BVT3T\nD4mqxTBlHyGGoaq/BAB48uoTGHd3MHzhAtDaigjg2QbC/mVAkhQIYVZxpHf+y1T01X69RplMBh0d\nHV6fRlNhmPIZL6b1FXOq4YKu65iZmUEmk6l7zYib/NKAwo7KkNnoA0DZaX2ljs8wVTlVVZFMJtHa\n2orR0VHPf6fzH/rFXcIMw8Du7i5SqRRWVlZgGIbVIYybB5PTGKacYRjGYeu9Yz7EcXMDYf8KQ9O+\nG6HQlwB0AsgCiMEw7pz4lUII387WSKfTnObnMoYpOsKJaX7mlLKhoSGrFXSj8EOQsOMc9vb2kEwm\njzT6qESzdoOr5XXv7u4imUzi+eef99VeH8e9DlmWEY/HEY/H8dxzz0HTNGxvbzuyeTBRMYYpZ1S7\nvYmTGwj7WS73ccRivwVZ/iqEOAtF+Z8hxMn3bSGEb++FBwcHrEy5jGGKjrAzTAkhsLy8jMePH1c8\npazU9/Dyxt3oYUoIgcePH+Px48e4detWTTdZP1wDL1QTpoQQWFlZwfLyMm7fvu2rOevVvI5wOIxT\np05x82ByDd9D9qtnsG/PBsKNogO53Mer/ipd130bpnK5XIP/TBoPwxQdYdeaKUVRMDExgWg0ivv3\n79c0XcgMdpVOR3OCH4JEreegaRomJiYQCoWQSCRqnrLFylR5uq5b+6TVep39eo25eTA5yesPy4Lq\n7bdjWFzsxsWLYXz/92uoZ1Z9qQ2EzX3uzE3em23dZbWVPzf5uWoWVAxTPuOHh0ooFIKmaXV9D7OD\n2QsvvGDNya6FX4KM14PcWq7D7u4uxsfHcfHiRQwNDbl+/CCoJOCYmx1X0hWx0dW7eTBRsWa8rzjt\nz/4sjI997BwMQ0YkEsLnPx/GH/5hFnb9Ohbvc1e87lLXdes+EI/HEYlE7Dmwj/h1w16vxyrNik86\nOiIUCiGXy9X0tYZhYGFhAalUCiMjI3WXmv3QltwPqgkzQgg8evQIq6urJffvqvX4zXiTPilMra2t\nYWFhAS+99FLJzY79wqmqV7WbB/tx8EHeC/IHEG4zDOC3fiuGWCyHWExCKCTw1lshfOUrIbznPc40\nUiped5l/H3j06BGEEFZTm+7u7kB8yKLrum8rUwB/p9zW+O/oAPJ6uk+t3evS6TSSySROnTqF0dFR\nW36Z/dBJzw8qDTOqqmJ8fByxWKyuaX3F2Bq9kGEYVmfKRCIRyE9ea1Fq8+Dt7W1rO4RoNGqtt+Lm\nwQRwmp/dVBVQFKC1VUCSAEkCZBnY33fvHIrvA/lNbR48eFDwIUtXV5evQ8lx/FqZIm8wTNERtTSg\nePLkCRYXF3H9+nX09PTYei7NOIgvVkmY2dnZwfj4uCNd5Jp5ml/x685ms/jWt76F/v5+XL16tSEG\ngl59QBOJRAr2tjHbL3PzYDIxTNkrFgPu39fxla+E0NkJZDJAOCxw+7Z39+/ipjaqqiKVSmF9fR3z\n8/MIh8MFe1w1Qkjxa2VK07RAVP4aDa84HVFNgNE0DVNTUzAMw5FP6FmZOlQuzAgh8PDhQ6ytreHO\nnTuO7C/hdbUU8GbQVfy6Nzc3MTMzg2vXrlmfulLlitsvc/NgYpiy3+/+bhY/+7NZTE3Fce6cwG/8\nRg5DQ/6Zph2JRNDf34/+/n4Ah93nUqmU1TE0FotZ9wG/VrD9WplKp9O+6iTbLBimfMjrgWullamd\nnR1MTEzgwoULGBoacuSG16wVkWLHvScURcH4+DhaW1uRSCQcu7l7/TAzX79XYUoIYa0FvHfvXsN1\nrfP6nlIKNw8mgGHKCfE48M//+SLOnz/v6n5D0sICWn/yJyEtLMC4dg3ZT30K4ty5E78uFotZHUMB\nWB1Dl5eXsbe3h7a2Nus+4JcNhP0apg4ODljl9wDDFB1xUpgSQmBpaQlPnz61rcFBrefiJi8f+qWO\na3ZQq7djYiMwQ7XbDy9JkqBpGr75zW+iq6sLIyMjvnyABkGpzYN3dnYKNg82pwQ2ylQgqowfBsdB\nYxiGu9f14ABt/+AfQNrchGQYkN54A23vfz8O3noL1fZlb2tbQ0fHMoaHz8IwrvlyA2G/TvNjZcob\nDFN0RLmpdblcDslkEp2dnY5WQkx+WTNlNoDww0NfCIEHDx5gY2MDd+/ebYpPobyqrKTTaSwvL+Pm\nzZvWlJRG5MfK1EnC4TD6+vrQ19cHoPTmwWa44ubBRIXc3mtIHh+HlMlAeud5Lek6kEpBXlyEcfVq\nxd8nHP4PiEb/FQAZgAFF+Sgk6ceO3UA4m82io6PD9Q2E/VqZSqfTTTEm8BuGKTriuGrQxsYGZmdn\n8eKLL1oLSZ3mlzVTXlVGiimKgmQyiY6ODoyOjnp+Pm5xOwyY69BWV1dx5syZhg5SQcHNg4kq5/rz\nqrMThqqjoFajahBVVEkk6dk7QaoNQASAimj0f4Wuvw9CnH7n3xydHry/v+/6BsKsTFE+hikf8voT\n1uIwZbaBTqfTrq8X8cuaKTPUedklR9M0vPnmm7h8+XLTDe7d3OdK0zSMj48jGo3i8uXL2Nvbc+W4\nTvL6nmI3bh5MVJ7b0/w2B65hQn8f3oP/ig6ksY92/H8dP4xXzp5DpWchSc9wWJEyG1lFAIQgSZtW\nmComy7InGwgbhuHLJjnpdNqRJlRUHp8wdET+wHV/fx/JZBJnzpzxpA20X9ZMeRnqhBBYXFxELpfD\nu9/9btemMfiJW/tc7e3tIZlM4uLFixgaGsLGxkbDTY9rRtw8mKiQM9P8NMjyJIAsDOMagE7rb772\nRhj/Q+w/4gPqH+E6JvE2buP/3P3vMLN1gHdm6p7IMIYAxADsA+gAcAAgAsM4W/EZVrOBcD2Nbfww\nU6UUc00ZuYthikoSQmB5edlaL9LV1eXJeciyDFVVPTl28Xl4EaZyuRzGxsbQ3d2Ntra2pgxSgDvT\n/FZWVvDw4UPcunXL6oDl5vRCv1Rhg4CbB1Ozs3+wryAW+yhCobcAyBCiG9nsJyHEYdCJxQAdIXwG\nP2F9RVgIVDeRpQPZ7O+jpeXnAWy/8/9/F/mhrVrVbCBczQctfp3ml8lkGKY8wDDlQ14/2FVVRSaT\nwc7ODu7fv+/pDaOZK1PPnj3D9PS0tUZtc3PTN00w3OZkqNF1HVNTU9B1HYlEomBKmJthihUw53Dz\nYGo2dj8rwuH/B6HQmxBiAIAESdpENPo7yOV+GwDw7nfreO45A7OzMnI5CW1tAj/2Yyqq7cxuGC8j\nnf4iDsNUHIfT/uxTvIGwoigFH7REIpGKNhD2a2WK0/y8wTBFBcw1B5FIBDdv3vT6dHzzab2bXQWF\nEJifn8f29jZGRkasapRXey0Vn5sXx3dqzVQ6nca3vvUtDA8P49y5c0deWyN2waOTcfNgagZ23qsl\naQWHwebwewrRDll+bP19NAr85V+m8fu/H8XCgozv+i4NP/7jWo1HkwG4syl6NBqtaQNhv1amDg4O\nXGsQRt/GMEUADj9lMTclvXv3Lt566y2vTwlA81WmstksxsbG0Nvbi3v37hU8DL3uKOhlmHNizZT5\nSeSNGzcQj8ePPS7DVLCV6g62t7eHra2tkpsHE/lfFn19X0E4PAvDuAnDeLnu72gYNwAIABoOm0Ls\nQtPeU/Bv2tuBX/5lpe5jeem4DYTNKra5gbCiKL6cJZLJZFiZ8gDDFCGTyWBsbAx9fX0YHR2FJEnW\n4NXrMrZfKlNutGg3W89fvXrV2lun+By8vBZudtQrZmeoMQwDc3Nz2N/fx+joaNnKgxct2f34gG4m\nsiyju7sb3d3dJTcPTqfTePDgATcPJp9SEIv9Mi5e/BoikS5IEpDL/Y/Q9e+r67vq+nuhqv8Ekcif\nvPP/R6EoP2fHCftaa2srWltbMTQ0BCEE0uk0UqkU9vb2MD4+bm3JYG4g7DW2RvcGw5QPuTmYevLk\nCRYXF3H9+nX09PRYf+51FcTUDJUpc3C/t7dXtvW812HKDNheTG2wK8iZlb++vj7cvXv3xN81Vqao\nePPgN954A21tbdw8mHwpFPomZHkK2exptLX1QYgsotFPIpN5P1Bxk/JSJKjqh6GqrwNQAHTV+f0a\njyRJaG9vR3t7OzY3N3Ht2jUoilIwRTg/XHmx3x0rU95gmGpSmqZhenoamqYhkUgc2XvBDDFe78/i\ndYBw+jzMquCpU6cwMjJSdiDm9bXwujJV72s3G3ocV/k77rgMU5RPlmUMDAxgYGCAmweTD2VxGHLM\nZ0kUh80cBOwJP63v/NfczA8WOzs70dnZifPnz1sbCG9tbWFychKqqhbsceXG+ku2RvcGw1QT2t3d\nxfj4OM6fP4/h4eGSA3i/VIT8ch5OBBlzzc61a9estq3leD2wd2uvp+OOXetrF0LgwYMH2NjYKGjo\n4fRxKfhKbR5cPJgy11tx82Byw+HaphZEItsA2iDLm9C098HurnjNTtf1IzN38jcQvnjxIgzDsPa4\nevz4MXRdL1h/6cT9gJUpb/DO7kNOTRMRQuDhw4dYW1vDyy+/XPbTiyCHmFrY2c3PMAzMzs7i4ODg\nxDU7+by+Fl4ev9ZQo6oqxsbG0N7ejtHR0aqnrTJMUTUk6f9n782jI7vqe9/vOTWrqqQqzbN6VI9q\nd7cGTIwdjMN91wQwDydmQVjMxjEhl2Bs0kwJ5OaBTeK8JIRH1uVyoU3uInS4YLiGGyc2NiQmnrFK\npaE1dbVmtVRVkmquM+z3h3yOJbWGKumc2rtK+7OWl6Hdqv07W3XO2d/9++3vT9B3qrdqHuzz+VBZ\nWcmbB3NMgZBaZDJ/iVTqT+H1ApL0dkjSPbTDKjlyaYosiqK+kQJg3fMgFAoBgC6s9tJAeC3JZFLv\nk8gpHFxM7RMymQz6+vrg8XjQ09Oz40OgkFbgO8XBiqgzIo5kMom+vj7U1tbi2LFjeQln2mKKprDY\nTYnh8vIygsEgjhw5grq6ul2Ny8UUZy/k0jxYKwncj82D+b1lDopyFJcv34fy8m7aoXDWsF0D4fHx\ncVgsFj1ztdvNFm5AQQcupvYBmktce3u73rRyJwrhXpdrHCyIOlEUIUnSnj5jfn4eo6Oj21px7xTD\nfs5M5To2IQSTk5OYnp7G2bNn9/Ri4WKKYyS8efB6uHulOfB5NR8j5teoBsJr4WKKDlxMlTBry8m2\nc4nbDFYyQqy8EPYiJFRVxdDQENLpdF5lfUbGYAS0DShyGVuWZQwMDEAURfT09Oy5bKKQYoqV7zqn\ncGzVPHhkZATpdLrkmwfzRb85sODEy8mf3TYQXgs/M0UHLqYYxIiXSzweRzAYRH19fd7lZAA7YooV\nditkkskkAoEA6uvrceLEiT39bmmLKZoGFLkIuXg8jkAggNbWVjQ3NxsyLs9McQpFvs2DabQoMBp+\nb5kDF6mlQS4NhC0WCyRJQkdHh75GKIVnQ7HBxVSJQQjB9PQ0JiYmcPr0aZSXl+/qc1g5M8UKu5mP\n2dlZXLlyBadOnUJFRcWeY6C9sGc5M6XNdUdHB7xeb8HG5XDMYqfmwRaLRS8JLObmwXzRbzw8M2Uu\ntN4JmzUQfvnll/HVr34VExMTaG9vhyiKCIVCOHjwYE6fOTk5ife9732Yn5+HIAj46Ec/ik984hOI\nRCJ417vehVAohAMHDuDSpUvrepFy1sPFFKPsZhEnSRL6+/thtVrR09OzJ9tNnplaTz5ZIUVRMDQ0\nBEmS0N3dfV0Pr0LEYAa0rdE3G1srocxkMobO9dpxuZjisMDG5sFas9Bibh7MMyjmQEtMWa0/gdV6\nCYS4IEkfg6qeK3gMhYAFsao1EL755ptx8803Q1EUPP/88/j4xz+OP/zDP8Tk5CS6u7vxpje9Cbfe\neisaGho2/Ryr1YqHH34Y58+fRywWQ2dnJ9785jfjO9/5Dm677TZcuHABDz74IB588EE89NBDBb7K\n4oGLqRIhGo1iYGAAhw8f1lPCe8FisSCbzRoQWWmQqyFHPB5HX18fmpqa0NLSYuhCgbaYom1AsVHU\npFIp9Pb2GlJCmc+4HA4L2O32om8ezMWUOaiqWvB5tVp/AIfj8yBEAKDAav0PpFKXoKonCxpHIVAU\nhblSOovFghtvvBFlZWV47LHHIEkSXnrpJTz11FN43/veh0gkgo985CO499571/2cdmYTALxeL06c\nOIHp6Wn8+Mc/xtNPPw0AeP/73483vvGNXExtAxdTRQ4hBGNjYwiHwzh//rxhDlCsuPlp0H7p5iIk\nZmZmEAqF9lReudcYzIS2Nfraa9ccKk+ePGlq6QEXU5xioFibB9N+rpcqufRAMhqb7X+AEAsArSn6\nMqzWHyKbLT0xxUJmajPWimibzYYbb7wRN954Iz7zmc8gk8lgYWFh258PhUL49a9/jde97nWYn5/X\nRVZ9fT3m5+dNj7+YYeOJyrmOXBZxqVQKfX19qKys3FVD0u1gqcxPO69EcydoOyGjKAoGBgagquqe\nyyt3G0MhoJ2ZUlUVhBCMjo5iaWkpb4fK3Y7LxRSn2NisefDKygoikQgmJiYAgInmwVxMmQOdxb4F\nwMZnJVvZG6NQFIVJMZVMJrd08nM4HNsaM8Xjcdx5553467/+6+s2gwVB4PfpDnAxVaTMzc1hbGzM\ntJ15lsSUliVjUUxpZX0tLS1oamoy9YFjRK+rvY5P04BCkiS8+OKL8Pl86OrqKsjDnYspTimgmVVo\n7wpWmgdzMWUONOY1m70HTuf9ICQOQVABlEGSfqegMRQK2pu7W5FIJHZliy5JEu6880783u/9Ht75\nzncCAOrq6jA7O4uGhgbMzs7qdu2czeFiqsiQZVk3N+jp6TH8wL0GS25+LMSyMYa1rolGO8htBe3M\nFE0DimQyicnJSXR0dOTceNoIuJjilCKsNA/mYsocaGSmFOWtSKddsFr/FwAXJOluEHK0oDEUClbL\n/LbLTG0FIQQf/vCHceLECdx33336n7/97W/HxYsXceHCBVy8eBF33HGH0eGWFFxMFRErKysIBoNo\nbW0tSBaEtcwU7Rg0IaE1hgVgalnfZjHsN2t0QghCoRBmZ2fR2NhYUCEFcNtmzv5gY/PgZDKJSCSi\nNw/2er2orKw0vHkwF1PmQGuxryi3QVFuK/i4hYZ2pcxWJJNJuN3uvH7mmWeewXe/+110dHTg7Nmz\nAIAvf/nLuHDhAu666y5861vfQltbGy5dumRGyCUDF1OMsvYFQwjB1atXMTs7izNnzsDj8Zg+Pmtl\nfrQzU5qgi8Vi6OvrQ1tbG5qamgoaA83MEI3xJUlCMBiE0+nE0aNHEYvFCjY2h7Nf0SyX3W73ps2D\nFUXRz1vttXkwF1PmwOfVXFjNTKVSqbwzyW94wxu23CR98sknjQhrX8DFFONkMhkEg0GUlZXhda97\nXcFuYJbEFCuxaL+LQgnajdAWlYU8s6VlYQ8ePIiGhgYsLCzwcjsOhwIbmwcrioKlpSVDmgfzRb85\nsLrYLxVYNaBIJBJ5Z6Y4xsDFFMMsLi7i8uXLaG9vL3h5EysCBqAvImRZRjAYhKIo6OnpoZbepz0P\nhTo/NDU1hYmJiXWilXaJYyHgi0pOMWCxWAxrHpyvmFpZAb70JQeee86C2lqCL30pg44ONs72sgQX\nU+bCqgHFbs5McYyBiylGmZycxMzMTEHsnzeD9sJ9LTSF3fLyMvr7+3HgwAEkk0kmHQVLZXzNYp4Q\nct1ZNNoljqUCzwRwjGar5sFXrlxBIpGAx+PRz1s5nc51P5vv9/H++x145hkLPB5gbEzABz/oxGOP\npVBfX9obLfnC73NzYVWs7ubMFMcYuJhiFO0wMK0HIkuZABoighCCiYkJzMzM4IYbboDb7UYoFCpo\nDBthQUyZ9Z1IJBIIBAJobm5Gc3Pzdd977qrH4bDPds2Dh4aGkM1mUVFRoZ+30n4mF7JZ4JlnrPD5\nCAQBsNmAeFzAyy+LeMtb2KiiYAVWF/ulgqIohhqxGEUqleJiihJcTDGKzWaDLMu0w2CCQmemNOMD\nh8NBtaxvI7TFlFnZIa1n2unTp1FRUbHl2FxM7Q2+U713+HcwP3ZqHizLMkRRRDQa3bF5sNW6KqBk\nefXfhACqCvCqputhtQytVGBVrCYSiYK0aeFcDxdTHOYppIhYWlpCf38/Dh8+jPr6+oKMmSu0xZTR\nmSlVVTE8PIxkMrljzzSWMqXFDC//4dBkY/PghYUFzMzMYGFhAaOjo7DZbFs2DxZF4P77M3joIQcU\nZfX/nzmj4KabeFZqI4QQJhf7pQKrBhTJZBINDQ20w9iXcDHFKHzB8xqFyExp9vNzc3M4d+7cloc4\naS5GaQsKIzNT6XQavb29qKmpwbFjx3acU35misMpPSwWC9xuN44cOQLgtebBk5OTiMVievNgv98P\nl8uF975XxpEjBL/+tYiaGoK3vU2GSX3rixpWMyelAquZv91Yo3OMgYspzrawsJNttiV3NptFMBiE\ny+VCT0/Pli8hrdSM1nzQFhRGiblwOIyhoSGcOHEClZWVOf0ML/PbO3wO9w4Lz8NSYuN8btU8eHR0\nVG8efPBgJc6fN7Z5cKnBxZS5sDq/muELp/BwMcXZEtriQcPMzFQ0GsXAwACOHj2K2trabf+uVmZH\n6yFKu8xvr2KOEILx8XGEw2F0dnZe5+y1HbSzchwOx3i2e78UsnlwqcHCe7uUURSFye9bKpXi1uiU\n4GKKsyWaiKG9A2OGiCCE4MqVK1hYWMD58+dzSo3TFjPFPH42m0VfXx88Hg+6urry/k7xrMre4XPI\nYY0nnnDiu9+tgsvlxAc/KOG3f3vrTTMzmweXGqxmTkoFVueXW6PTg4spRmFhV0kTU9sZAxQyDqPI\nZrMIBALwer3o7u7O+aFosViKVswYwW4X45qpRy7Zv+3G5memOJzS4ec/t+DP/qwaFosKq1XEhQtO\n2O1pvPnNuT3rjWweXGpwAwpzYTkzxcUUHbiY4mwJbfGgYaSIiEQiGBwcRHt7O2pqavKOg1bzYIC+\nwM7396D16pqdnd3W1CMX9ktWxczf8X6ZQ05x8E//ZIUgELhcKux2IBYj+MEPrDmLqY2sbR4MrC4s\nI5HI5s2DJQmOL38Z4gsvgDQ3I/PFL4IcOGDg1dFFVVXq74tShtXMVCKR4GKKElxMcbak0P2dzIxj\nL+d1NGhnhmiTz7klWZYRDAZhs9nQ3d2951082mem+BkEDsC/B0bicq32idJQVWDHx3IkAsfDD0Mc\nGoLa3o7M/fcDr2amrv98F5qamjZtHtx24YtwvjiIuOJC2Ssz8Pa+B+SpnwGvNhLOF0kCvv51G371\nKysOH1bwwANZ5OitYwqsLvZLBVbnN5lMcgMKSnAxxSgsvLBZEVN7FTGZTAaBQAA+n29X53WMiqPY\nybXULhaLoa+vD21tbWhqairo2GbAihHLXuGZKQ5LfPjDEp54woblZQssFgFOJ8Hdd2/j2ipJcN57\nL8SREaCsDJZQCM6xMaT/5//ETv7oa5sHt/r8SL94GVHZB8ECLCkOZEMxRL7/z6i86/9CeXl53ps/\nH/uYE73/5xrasiP45b+14OmnD+Cpp5I7i0OT4Jkpc2FVTHEDCnpwMcXZEtplbRp7EXWaDfexY8dQ\nXV29pzj2u5jKJTs0MzODUCiEjo4OQzux0xQCXIRwOMZz6pSKr399Gj/7mQdebzne+U4Zx49v/XwV\nJiYgjo8DlZWAIABOJ8RQCMLVqyCv9qnKhWjCDpsswGpRoQoWWEQCQQXmlmqgvNo82Gq1orKyctPm\nwRtZWgLIj3+Kf8vcDRlW2CDh4Sufw3PP3YPf/E06709+Zsp8WBSrsixTP+O+X+FiimFoL+KKOTOl\nqirGxsawtLS067K+jbByhowW22WHFEXB0NAQJElCT08PrFZjHy1cTO2dUrkOTulw6FAGH/94Bk1N\nOTyf7XaAkNV/BGH136q6Y1ZqI2WVTnzb/VG8N/nfIEIFIKDfdgPKbn0j2ttXM1KZTAaRSERvHlxW\nVqaft3K5XOsX0qkUvpa5ByJRYBEEEAJ8KvX/4JWp2wAczCs2o2A1c8LhlCpcTHG2hBXxkG8c6XQa\ngUAAlZWV6OrqMmwHiWemNr/+ZDKJQCCAhoYGtLa2mrJjx8UUh1N65FM+S5qbodx6KyxPPAGIIqCq\nUG67DaS1Na8xnU7A/qX78fk/P40zmRcwa23Fwu3vxv/b9Zr4cDgcOzYP1sSVX16EYlORlVaXU0QQ\nQUQR56uvgqaYYjFzwjEP/o6iCxdTnC1hKTOVaxwLCwsYHh7G8ePHdctcGnGUIpuJimvXrmFkZASn\nTp2Cb5eHt3MdmxaFElNmXyMXhXunFM7OsUbO8ykIyHzlK7C+rgfiyADUwycgv/Odq1mqPPnwRyQM\nvcGLSKQdZ2xNOH9ewFaJnJ2aB6vpNH6jQoRtOY0MccAmyHC5RaROHQGtu42X+e1f+POJDlxMMQzt\nxQ8rYiqXh4OqqhgZGUEsFkNXVxccDofhcbCSmaK1oFs75tr57u7uht1uL3g8hYL2fcjhlCr5PstE\n+xCs7/0hBCEMkcxAydwEQvI3ubHZvo7z578HgAAQIEm/A0n6ZG4xbNI8OPL330DVvffCmskAACY/\n+1lYvV54KZXb8TI/82D1XcA3eujCxRRnS0RRhCRt467ECKlUCoFAANXV1ejs7DTtgcKCmNJioNkw\nUHNH9Pv9ps43KxRKTC0uLmJmZma1dMjvN3xDgItCDmvktwCMwOH4PAixgJBGCMI0HI7PI53+7wBy\nfx4KwjXYbN8HIdWv/pwCm+1/QZbfBUIa874Gi8UCz5tvgzz8NYixfmSsxyHHu7AwO4vLly/rzYP9\nfj/cbndBnpd8YW0erM5tOp2Gy+WiHca+hYspzpawkpnaDq3M7OTJk/D7/aaOxYKYor0glmUZL774\noiHuiMWC2XO+tgdaW1sblpeXMTAwAFmW9UWYz+ejKqA5HDPIZ2EqipMAJAD+V3+2BoIwB0FYAiH5\nlHQnAIh4TYCvmonJAAAgAElEQVRZsLoUSuTxGWshcDj+BFbrTwCvAhuxwuF7P+rq7gPwWvPgUCh0\nffNgE73TWVzwlwKKojCZ9UskElxMUYSLKc6WsCymVFXF8PAwEolEwcrMLBYLstms6eNsBy1BRwjB\nlStXkMlkcPPNN5u6CGANM8WULMsIBAIoKytDZ2enLqAOHDgARVGwtLSESCSC8fHxvOyaC30dHM5u\nyMuAgvgAqAAUrAqgNAArCMmvSSkhTVDVWojiPAjxQRCWoKo1IKQlz+hXEYQxWCyPgZAKrIo0BTbb\nRUjS+wFUbds8OJvNoqKiApWVlfD5fNzWugigXRmyFYlEAm63m3YY+xYuphiG9s4SK25+G9Hc4+rq\n6nDs2LGCzRMLmSkaMUiShL6+PpSVlaGsrGxfCSnAPBESj8cRCARw8OBB3TVsLRaLBVVVVbqRimbX\nPDExgXg8ru9wV1ZWmnJGkHM9rJb4FCv2sTF4h4Zgra+H/J/+E7BNbzpC2iBJvwub7RJWRQtBNvsA\ngHy/+3ZkMn8Du/3PIYojUJRTyGY/B2B3zzVBiGNV3GnZCgsACwQhfl3GbG3z4La2NqiqiuXlZf2+\nJoTA7/ejsrJyV82DOebD6nk03rCXLlxMcbaENfc6Qgjm5+cxNjZmunvcZrAwH4UWU8vLywgGgzh8\n+DDq6+vxq1/9qmBjs4IZYmpubg7j4+N5NTfeaNes7XBrJYE+n0/f4d5sEcYzUxyWsPzHf6D1/vth\neXWn3/bd7yL1yCNAefmWPyPLH4Sq/gYEYQGq2gpC2nY1NiGNyGT+v92Gvg5VPQrACyAKwANBiEFV\nm3MyxhBFUS/lBVY3rpaWlrCwoXmw3++H1+vlQp4BFEVhUuQmk0kupijCxRRnS1gq8xMEAQMDA8hm\ns+jp6aFSDrGfMlOEEExNTWFqagpnz57d1+UDRooQrTw1mUyiu7t719/jjTvcRpcEcjhmY/vLv4Tk\nEkDa3SCSHcLgVVgffxzy7/7uNj8lQFWPAzheqDBzwI1U6n/A4fgsRPEKFOU8MpkvYzfLK5vNhpqa\nGtTU1AB4LRs9NTW1c/NgTkFgNTOVSCS4mKIIF1OcLWFFTCUSCSQSCdTW1uLkyZPUXiD7RUzJsoyB\ngQEIgoCenh4md+EKiVFiKpvNore3F5WVlTh37pyh3+NcSgJTqRQymcy+FsYcdhCcYdj/ch5CNYFg\nEYDH7BBiK+v/UioFYXERpLYWYLiUlZBDSKf/0fDPzad58NpzwzwDbR6sGlAkk0n+bKcIF1MMQ3vX\niQUxNTs7iytXrsDj8aCpqYnqnOwHMRWPx9HX14eWlhY0Nzdv+nf227kRI8SUVi7Z3t6u7zqbycZF\nWCKRwODgIMbHxzE2NqYfevf7/fteLHMo8TkLBDULLLoAqBBuT4I4XttZtzz9NBwPPADIMuB0Iv21\nr0Ht6qIXL2V2ah6sKIpe6svFlHmwakCRSqXg8eRnxsIxDi6mOFtC04BCURQMDQ1BkiR0d3ejv7+f\nurBjwZDDTDGlCdfTp0+jfItzC5qwoCWmaIy9VzE1OTmJqakpnDt3jkoZhiAI8Hg88Hg8aG5uRllZ\nmX7oPRQKQRRFvSSQn8vYnv22kWAq58qR6W+EY2UJsDmhHmwEXE5ABoRwGI4HPwHhM0tAqwIMWuH8\n7MeQfPRpgJcyAdi8ebBW6ptKpfDyyy/rZhZer5fJbEoxwmqZXzKZ5NboFOFiirMltAwXtOxIU1MT\nWlpaIAgCM1kh2oLODBMBVVVx+fJlpNPpHc/xaL8HGi8TWkJut3OuqioGBgagqipT5ZIWi0UXT8Bq\n+eHacxlut1v/7/vNuZFTOBTSDvnwEnDsNGw2AYJwDWpmNRsuTI1A+LNrEGpVIGEBfjMF1E1DmJsB\nOXSEcuRsopX6+v1+LC8v4/Tp04hGo5h9tXmww+HQs9GFah5cirBqQMGt0enCxRTD0H7Y0Rh/ZmYG\noVDouuwICyWHoihSL58wWlSmUikEAgHU1tbi+PHjO/7OaTrC0Rp7N+OmUin09vaioaEBra2t1O9l\nYOvrsNvtqK+vR319vV4SuLYPzlqXQKuVvzI4xiBJ90GSPg67fQGCIEKS7oKqrpbxCc0pCFEZCNsA\nQQRSBMKRLFDHXkaANbTNLrvdjrq6OtTV1QGg1zy41GA1M5VKpVBdXU07jH0LfzNymECWZQwODuq7\n+BsXbTwz9VoMRs3DwsIChoeHcfLkSd2at5Dj5wstMZuvmAqHwxgaGsprXllhbUlga2srFEW5riTQ\n7/ejqqqKlwRy9gQhdRgf/xO0tFjh8dSu68mkVjdDcjSAzM1DJQSilcDS3ARiL677iQaqqm56X27W\nPDgajfLmwXnCamaKW6PThYspDnVisRj6+vrQ2tq6pckEK5kpFgTdXmMghGB0dBRLS0vo6urKq+Er\n7cwUjfnP9ZoJIQiFQlhYWMh7XgvBbn53W5UETk9PY2VlRbdqrqysLLl6fUEIQxDmQYgDhByE1pSV\nC0jjIMT6ak+m9b3W4vEjeOLJ/xtdN/wLrKoMSbAh+PN34rd/+2kIQhaKcuOue0yVOoSQHTMna1sr\ntLa26s2Do9HouubBfr8fFRUVTIoHWqiqus45kRW4mx9duJjiUIMQgunpaUxMTOzYvJQFIVMKBhTZ\nbBaBQAAVFRXo6urKe2FI8/fAcpmfLMsIBoNwOBzo6upisgzECDaWBGpWzcPDw8hkMutcAou5JFAQ\nrgD4HmIxAodDhsPRAUV5B/Uy31JjqzOQfX1W/Nf/+hX85/98CxoaJrCw0IAPvOPLcM6PAlABTw1S\nrn+ESk4VPmjG2U0Z2sbmwbIsIxqNYnFxEWNjY7x58BpYLfPjYoouxfu22wew8sAy49D/xl5GOy28\nWMhM0cqMrGUvYiYajWJgYGBP9ty0M1Msiql4PI5AIIADBw6gsbGxgJHlh9H38GZWzVpJ4NWrVyEI\nwjqXQBYXIFsRjz+Gf/u3KqyseKCqwI039uPAgbMAmmiHVmAUWK0/hMXySxBSDkn6AAg5atinb/Vu\nsVgIZNmKX/zibRAE4A/v+GMcrwxCmLYAAoDyaTjs9yHV+LhhsZQKW5X55YPVauXNg7eA1TK/VCrF\ny/wowsUUZ1u0xbuRD4+VlRUEg0G0tbWhqSm3xQkLmSkWXhi7ObdFCMHVq1cxNzeH8+fP76kci/aZ\nKdbK/Obn5zE6OoqOjo4t7eRZwkwxunF3W5IkRCIRzMzMIBaLweVyFU1JYKA3gYrZORzLTiNjdSM0\nWA2rVUIBWoQxhdX6j7DZ/gGE+CGK07BYLiCd/lsQYoyo3EpM3XCDivZ2gsFBEaJIcEp4DiIBYHlV\nkEsqxKVhgN29C2rkUuaXL7k0D9Zs2FksgTMSVjNT3M2PLlxMcbZFywgZIaYIIZicnMT09DTOnDmT\nV4M5FjJTLCCKIiRJyvnvy7KMvr4+OBwO9PT07PklwMv8ViGEYGRkBLFYDD09PUVxYLvQ82ez2XQ3\nsbULsJGREaTTaWYPvBMCZJ9J4XzDU4gnqlFOplBxbQSLUx/dh2Lq/wDzgDg3DtgdIEfssFh+DVk2\nV0zZ7cC3v53CxYs2TEyI8MUPQrT8B4hTBRQBgpuA/LIWOGtIGCWF2Yv97ZoHB4NBvXmw3+8vSQdQ\nljNTvGkvPUrrW15isJAJMeqckHamxGq17qrnTr4iolTJZ0GsGXsYWX7Gy/zWnzs7f/48E/cp62y2\nAFtZWUEkEsHExAQA6Dvb5eXlVHd+BQGo+9coJn/jGKpOLCIZ82P5kgd1/yUMoHpf/b6FiWsQr/QD\nKQtACAQZII0ZwKBqou1KyN1u4GMfW33mk9FPYfmL/wrX3RHAoUL6vgfKTQ+CvfwAfQrdi2+r5sHR\naHSdA6jf76d+bxsBq5kp7uZHFy6mONtiREZoeXkZ/f39OHjwIBoaGqjFUQrkmhmanp7G1atX884A\nGjW+GbAgplZWVtDX14ejR4+itra24LHsBZpCeCOiKMLn88Hn8wFYLQmMRqOYm5vD8PAwnE7nupLA\nQguYY0eseO6Zo5h84jQEEeipuYLKBiDJyPwVCuFv4sD7BcAPQBSAGRXCiATcbszn57rwv/jv7fje\n07/E7z1xEXY1jR9b70SP9xw+eRvfYNsI7cW+1jy4qmrV6j6bza67t4u9eTDt+d2KZDLJM1MU4WKK\ncWgvgPYiYgghmJiYwMzMDG644YY91fOycGaKBXaaB0VRMDg4CEVRcjL2yBea30faZ6Y058mzZ8/y\n2nSDsdlsqK2tRW1tLQgheoNR7UxGeXm5vgArREmg9c7fxi3f/ydkbG7YlDTE5gZkjxpnvFAskBc8\nICsHIdyQAhIW4KcqcK9xlv+5iqlnn7VgwnYIX/N/CQCQTALqsyoALqY2wtpiv9SaB7Na5pfNZpkq\nl95vcDHF2ZbdNqqVJEm3it5NWd9GeGZqle0ERTKZRG9vL5qamtDS0mLKjt9+zEwBq5k+u92O7u7u\noj0DQHtjJlcEQUBZWRnKysrQ3Ny8riRwcnISgPklgcptt4H4/bANDYH4fMjecgvgcgHptOFjsYx8\n552wffvbIAMVEDIZwOmEcuONhn1+rmKqrY1AVQUAq99fRRHQ2sr+d5kGhS7zy5dibx7MmlhdC6tx\n7QeKc1XAKRi7ETFLS0vo7+/H4cOHUV9fb0gcrGSmNHt0Wg+treZBc5U7ffo0KioqTBt/v52ZSqfT\nmJiYQHl5OW644QbTFyksL4JosVVJ4Pz8/LqSQL/fj7KyMsPmUD1/Hur58xtimUVd3Y9gsz0JVT0P\nRbkZKOGTO9Ldd4N4vbA+9RRUnw/Z3/99kF2Wam9Grgv/3//9LJ5+2oLp6dW5rqsjeOCBrGFxlBIs\nL/Y3UozNgxVFYW5+i2GTrNThYoqzLfkYUBBCEAqFMD8/j3Pnzhl6GJKVzJQmZlgRU6qqYnh4GIlE\nAt3d3abb0u4na/RIJILBwUHU1tYaukinRbFkpnZibUkgsJqRjUajGB8fRyqVgtfr1c9bGbuzHYbT\n+XWUlS1BEJphtf4TgCwU5c0GjsEYogj5Pe9B+q73wGJZNecwklzFlN8PPPpoCi+8YIGqAp2dCrbp\n8b6vKSYxtZFiaR7M4vwKglD076hihospxqG9AMpVxGSzWfT19aGsrMwQC+6NsJKZoh3H2vHT6TQC\ngQCqqqoK5iq3H8r8tL5c8/Pz6OzsxOLiIhNCnrM5WklgU1PTOpvm6elpqKqqlwRWVFTs6bkkiqMQ\nhBQkqRJAOQixw2L5t5IWU+GwgM9/3o7eXgs8HoIvfCGLm2+mcy+4XMAtt/D7cCdYL/PLB948ODdK\nYZOs2OFiirMtuZyZikajGBgYMNXhzCiL9r1CW0xpZYbhcBhDQ0M4fvy47ppUqPFLucxPURTdwr+7\nuxuiKFLf0ODkzkabZm1n+9q1axgZGdGdxCorK3eRbbRAO7OzigyAvTMdRvKFL9jR12dBbS1BKgV8\n7nMOPPJICgcOGHM/lNLCnxWKOTO1E5s1D45Go/uyefBastnsvrpeFuFiirMt22WmCCG4cuUKFhYW\ncP78ebhcLtPi2K0Rhhlx0BZT8XgcY2Nj6OzsLLj7USlnpjQDj5aWFjQ3Nxds3EJRKteRDxt3tjUn\nsfHxcSSTyXUugTstRlT1BAShDg7HCARBBZCFJH2wAFdBB0UBXnllVUgJAlBWtuqid/myiAMHjHkW\nczFlPKqqFq1JTj6s7V2nGdXEYjFEo9F90Tx4LYlEgveYokzpfrtKBNovGovFgmz2+oO+mUwGfX19\n8Hq9+g6+2XGwkJmiGUc2m0V/fz8URUFXVxeV3cdStUZfWFjA8PDwpgYehbxmvrg0l41OYrFYDOFw\nWC8J9Pl8upPY9feXG6nUxxAO/wTl5bVQ1eMgpHTt0i0WwOdbzUiVlQGquvqPz2fsvcC/78ayX58h\na7PSBw4cKPnmwWvhDXvpw8UUZ1s2y0xpB/Pb29v1HV+z2e+ZqeXlZQSDQRw4cAA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GxsbN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D4XOBOPuMJmdvbw+Hh4eYnJxU3YZCYu/c1tYWNjc38aY3vQmDg4M4ODjA7du38eyzz+KVr3yl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\nuXjwwQfpv09CyERRMUUImbqomJo8j8eDTz75BEajEQcOHEBmZiYMBgOuuOI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OHTsmi8Wi\nQ4cO6cc//rFiYmIUERHhFM9tKi8v18WLF2UwGNSrVy9Hj2O3+vp6xcfHa9asWfrFL35BSAFwRsQU\nAODOVFZWymAwqLi4mBPb/2e1WpWbm6vk5GRlZGTIz89PJpPJYTtA3rx5U5cuXdK4cePk7u7e5cfv\nKG0hFR0drRdeeIHfNwDOipgCANyZvLw8rVq1SqNHj9Znn32mCRMm6L333uvWW213JJvNpvPnz8ts\nNmvPnj3q3bu3oqOjZTKZ5O/v3+lBUFZWpsuXL8tgMHT7kFq4cKFiYmL085//nJAC4MyIKQDAncnJ\nyVFoaKiOHz+uJ598Ui+99JL69++vTZs2OXo0p2Oz2XT16lVZLBalpqaqoaFBkZGRMplMGjlyZIcH\nwn/+8x99/vnnMhgM3foB0/X19YqLi9Ps2bMJKQDdATEFALgzN27cUGhoqK5cuSJJOnr0qLZs2aK/\n//3vjh3MydlsNpWVlSk1NVUpKSm6ceOGwsPDFRMTo+Dg4Hvecr20tFRXr17t9iFVV1enuLg4zZkz\nR6tXryakAHQHxBQA4M5NnTpV77//vh577DFt2LBBtbW1evvttx09VrdSWVmpvXv3ymw2q7CwUE8/\n/bRMJpNCQ0Pvegv+69ev68svv5TBYOgW27XfTl1dnRYsWKC5c+cqMTGRkALQXRBTAIA7l5eX176T\nX0BAgD788EN5e3s7eqxuq6GhQf/85z+VnJyskydPKjQ0VCaTSU899dQP7sRXUlKi69evy2AwdOvn\noLWFVGxsrFatWkVIAehOiCkAAJxBc3Ozjh49quTkZB05ckRBQUEymUyaMWPGdzb52Lp1q9zd3ZWY\nmNitQ6q2tlYLFizQ/Pnz9dxzzxFSALobYgoAAGdjtVp18uRJJScna9++fRo6dKiio6MVFRWlDz74\nQBkZGUpJSZGHh4ejR7VbW0jFxcUpISGBkALQHRFTAAA4M5vNpoKCAiUnJ2vnzp3q1auXEhISNGfO\nHPn5+XXLCKmtrdX8+fMVHx+vFStWdOl7eOedd5SUlKSysjKHPAsMwH3ltn+87m1rIQAA0CFcXFwU\nFBQkDw8PjRs3ThaLRZK0bNkyRUREaOvWrbp06ZJ+4D9BnUZNTU17SHX1itS1a9faV/oAoDOxMgUA\ngJPYsmWLcnNztWvXrvbtz202m0pLS5WSkiKLxaJbt24pIiJCMTExGj169D1vud4Z2kJq8eLFWrFi\nRZcff+7cuXr99dcVExOjnJwcVqYA3Csu8wMAwJlt3LhRhYWF2rlz5//c/ryiokJ79uyRxWLRpUuX\nNH36dBmNRj3++ONOsUlFW0gtXbpUy5Yt6/Ljp6am6uDBg3rvvff0yCOPEFMAOgIxBQCAsyopKdFb\nb72lrVu33lUQ1dXVKSMjQ2azWbm5uZo8ebJMJpOmTJkid3f3Tpz4+9XU1GjevHlavny5li5d2mnH\nCQ8P140bN77z9TfffFObN2/Wvn375OnpSUwB6CjEFAAA97OmpiYdPnxYZrNZx44dk8FgkNFoVFhY\nmPr06dPpx6+urta8efOUkJCgJUuWdPrxvs+ZM2e+9X6/+OIL+fv768SJExo0aJBDZgJwXyCmAAB4\nULS2tiorK0sWi0X79+9XQECAjEajIiMj5enp2eHHq66uVmxsrFauXOmwkPo+rEwB6CDEFAAADyKr\n1arTp0/LbDYrPT1dDz30kIxGo2bNmiVfX9973mWvqqpK8+bN03PPPafFixd30NQdg5gC0EGIKQAA\nHnQ2m00XL16U2WxWWlqa3NzcNGvWLMXExGjIkCF3HVZVVVWKjY1VYmKiFi1a1ElTA4DDEVMAAOAb\nNptNJSUlslgsSklJUVVVlSIjI2U0GhUYGPiDYdUWUqtXr1Z8fHwXTQ0ADkFMAQCA2ysvL1daWppS\nUlJ09epVhYWFyWQyafz48d95llVlZaViY2P1wgsvKC4uzkETA0CXIaYAAMCdqa6uVnp6uiwWi/Lz\n8zVlyhTFxMRo8uTJqq2tJaQAPGiIKQAAcPcaGxt18OBBmc1mHT9+XJWVlXrnnXe0YMECR48GAF2F\nmAIAAPempaVFhw8fVnh4uKNHAYCuREwBAAAAgB1uG1Out3sBAAAAAHB7xBQAAAAA2IGYAgAAAAA7\nEFMAADjAu+++qzFjxigoKEhxcXFqaGhw9EgAgLtETAEA0MW+/PJL/f73v1dOTo7y8/PV2tqq3bt3\nO3osAMBdIqYAAHCAlpYW1dfXq6WlRXV1dfL393f0SACAu0RMAQDQxQYPHqykpCQNHTpUDz/8sDw9\nPRUREeHosQAAd4mYAgCgi1VUVCg1NVWXL19WSUmJamtrtWvXLkePBQC4S8QUAABdbP/+/Ro+fLh8\nfHzUs2dPzZkzR//6178cPRYA4C4RUwAAdLGhQ4cqOztbdXV1stlsOnDggAIDAx09FgDgLhFTAAB0\nsSeffFJz587V+PHjNXbsWFmtVq1atcrRYwEA7pKLzWb7X6//zxcBAAAA4D7ncrsXWJkCAAAAADsQ\nUwAAAABgB2IKAAAAAOxATAEAAACAHYgpAAAAALADMQUAAAAAdiCmAAAAAMAOxBQAAAAA2IGYAgAA\nAAA7EFMAAAAAYAdiCgAAAADsQEwBAAAAgB2IKQAAAACwAzEFAAAAAHYgpgAAAADADsQUAAAAANiB\nmAIAAAAAOxBTAAAAAGAHYgoAAAAA7EBMAQAAAIAdiCkAAAAAsAMxBQAAAAB2IKYAAAAAwA7EFAAA\nAADYgZgCAAAAADsQUwAAAABgB2IKAAAAAOxATAEAAACAHYgpAAAAALADMQUAAAAAdiCmAAAAAMAO\nxBQAAAAA2IGYAgAAAAA7EFMAAAAAYAdiCgAAAADsQEwBAAAAgB16/MDrLl0yBQAAAAB0M6xMAQAA\nAIAdiCkAAAAAsAMxBQAAAAB2IKYAAAAAwA7EFAAAAADYgZgCAAAAADv8H/RRWdsmWW3zAAAAAElF\nTkSuQmCC\n",
"text/plain": [
"<Figure size 1080x1080 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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