diff --git a/3_kmeans/1-k-means.ipynb b/3_kmeans/1-k-means.ipynb index b94e78e..ad3ca7d 100644 --- a/3_kmeans/1-k-means.ipynb +++ b/3_kmeans/1-k-means.ipynb @@ -33,10 +33,9 @@ "成本函数是各个类畸变程度(distortions)之和。每个类的畸变程度等于该类重心与其内部成员位置距离的平方和。若类内部的成员彼此间越紧凑则类的畸变程度越小,反之,若类内部的成员彼此间越分散则类的畸变程度越大。\n", "\n", "求解成本函数最小化的参数就是一个重复配置每个类包含的观测值,并不断移动类重心的过程。\n", - "1. 首先,类的重心是随机确定的位置。实际上,重心位置等于随机选择的观测值的位置;\n", - "2. 每次迭代的时候,K-Means会把观测值分配到离它们最近的类;\n", - "3. 然后把重心移动到该类全部成员位置的平均值那里;\n", - "4. 若达到最大迭代步数或两次迭代差小于设定的阈值则算法结束,否则重复步骤2。\n", + "1. 首先,类的重心是随机确定的位置。实际上,重心位置等于随机选择的观测值的位置。\n", + "2. 每次迭代的时候,K-Means会把观测值分配到离它们最近的类,然后把重心移动到该类全部成员位置的平均值那里。\n", + "3. 若达到最大迭代步数或两次迭代差小于设定的阈值则算法结束,否则重复步骤2。\n", "\n" ] }, @@ -129,17 +128,19 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -170,17 +171,19 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], @@ -216,7 +219,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -301,7 +304,7 @@ "4 5.0 3.6 1.4 0.2 Iris-setosa" ] }, - "execution_count": 12, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -312,76 +315,86 @@ "# If you are using an old version of IPython, try using '%pylab inline' instead.\n", "%matplotlib inline\n", "\n", - "# 导入所需库\n", + "# import librarys\n", + "from numpy import *\n", + "import matplotlib.pyplot as plt\n", "import pandas as pd\n", - "import numpy as np\n", "import random\n", - "from matplotlib import pyplot as plt\n", - "\n", "\n", - "# 1 读取鸢尾花iris.csv\n", - "iris_df = pd.read_csv('./iris.csv', header=0, index_col=0)\n", - "iris_df.head()\n" + "# Load dataset\n", + "names = ['sepal-length', 'sepal-width', 'petal-length', 'petal-width', 'class']\n", + "dataset = pd.read_csv(\"iris.csv\", header=0, index_col=0)\n", + "dataset.head()\n" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 8, "metadata": { "lines_to_next_cell": 2 }, "outputs": [ { - "data": { - "text/plain": [ - "0 0\n", - "1 0\n", - "2 0\n", - "3 0\n", - "4 0\n", - " ..\n", - "145 2\n", - "146 2\n", - "147 2\n", - "148 2\n", - "149 2\n", - "Name: class, Length: 150, dtype: int64" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/bushuhui/virtualenv/dl/lib/python3.6/site-packages/ipykernel_launcher.py:3: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " This is separate from the ipykernel package so we can avoid doing imports until\n", + "/home/bushuhui/virtualenv/dl/lib/python3.6/site-packages/ipykernel_launcher.py:4: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " after removing the cwd from sys.path.\n", + "/home/bushuhui/virtualenv/dl/lib/python3.6/site-packages/ipykernel_launcher.py:5: SettingWithCopyWarning: \n", + "A value is trying to be set on a copy of a slice from a DataFrame\n", + "\n", + "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", + " \"\"\"\n" + ] } ], "source": [ - "# 2 对类别进行编码,3个类别分别赋值0,1,2\n", + "#对类别进行编码,3个类别分别赋值0,1,2\n", "\n", - "iris_df['class'].replace(['Iris-setosa', 'Iris-versicolor', 'Iris-virginica'], [0, 1, 2], inplace=True)\n", - "iris_df['class']" + "dataset['class'][dataset['class']=='Iris-setosa']=0\n", + "dataset['class'][dataset['class']=='Iris-versicolor']=1\n", + "dataset['class'][dataset['class']=='Iris-virginica']=2" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 9, "metadata": { "lines_to_next_cell": 2 }, + "outputs": [], + "source": [ + "def originalDatashow(dataSet):\n", + " #绘制原始的样本点\n", + " num,dim=shape(dataSet)\n", + " marksamples=['ob'] #Sample graphic marking\n", + " for i in range(num):\n", + " plt.plot(datamat.iat[i,0],datamat.iat[i,1],marksamples[0],markersize=5)\n", + " plt.title('original dataset')\n", + " plt.xlabel('sepal length')\n", + " plt.ylabel('sepal width') \n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "lines_to_end_of_cell_marker": 2, + "scrolled": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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O/mbO3S5li6db5b009HVgA/D/gF5aqdOs64zW9x88eHRsojn4a21XxLnbpWzxdKu8l4ZOiIj/FhFfjojbRh+FRmZmmfLW9xfRB1C23oKyxdOtcpWPSloNbI6IdcWHNDGXj5q1bw7+Zs7dLmWLp6waXo9A0gEgAAHTgBeAF9PXEREzWh/uxJwIzMzqN1EimPDSUEScGBEz0udJEXF8xesJk0B6Q/lpSQ+M8/4FkvZJ2pk+VuX/SGZm1ip5q4b+Ps9Ylc8AF9XYZkNEzE8fV+WJxawXjIzA2rVw9dXJ80idJRj79sGZZyZLTJ55ZvI665j1nGd4GFatgmXLkufh4eaPad1hwqohSVNJLgmdLGmQ5JIQwAzglIn2jYhvS5rbiiDNekmzTVD79sHMmUdfP/RQ8vr882HHjqPHXLQoeX/r1trnGR6G2bNhz57k9d13wyc+kVTlbNvW2DGte9T6RvBuYAj4KWAHsD19fB24tgXnf4Ok70haL+nMFhzPrPSabYJasiR7fMOGscfcvDl55DnP6tVHk8CovXth48bGj2ndo9Y9gmsi4pXAByPilRWPn4mIZhPBDuAVEfEzwCeAr423oaQrJA1JGtq9e3eTpzXrrGaboB57LHu8uu7j+eeTR57zbNqUfcwXX2z8mNY9JkwEkt4q6a3Ak6M/Vz6aOXFE7I+Ig+nP64DJkk4eZ9vrI2JhRCycNWtWM6c167hmF3yZNy97XBr7eurU5JHnPEuXZh9z8uTGj2ndo9aloV9MH/8FuBH4tfRxQzrWMEmzpeQ/XUmL0lieaeaYZt2g2SaozZuzx887b+wxlyxJHnnOs3IlDA6OHZs5E849t/FjWveY8GZxRKwAkHQX8NqIeCp9PYekKmhckm4BLiC50fwE8BFgcnrc64BLgfdIOgIcBi6LblscwawBzS74ctJJyfX7JUuSy0Tz5iXJYfr0Y48J+c4zZQrs2pXcK9i8OTn2ypXJto0e07pH3s7ihyPiNRWvJwEPVo61ixvKzMzq14qFaf5e0p3ALenrXyWZgM6sb7VrQZTh4eQv9U2bkmv5K1cmf8HniWdk5Nh9R//KL/tCLl5wpn1yL1WZ3hw+L3357Yj4amFRTcDfCKwM2rUgSnV9PyTX8nftGpsMsuI555zkl+jevUe3mznz2N6AMvYBeMGZ1mt4iolKEfGViPj99NGRJGBWFu1aECWrvn/PnmS8VjwbN45NApDdG1DGPgAvONNetcpHN6bPByTtr3gckLS/PSGalU+7FkQZr76/unIoK57qHoDxxsvYB+AFZ9qrVkPZuenz6ORzo4+ak86Z9bJmewHyGq++v7q7OCue6h6A8cbL2AfQrn9fS+SddO5qST8naVrtrc16X7sWRMmq7x8cTMZrxXPuuWPnJILs3oAy9gF4wZn2yls+uoLkRvEbgAMky1Z+OyK+Xmx4x/LNYiuLdi2IMlo1VFnfP1HVUGU8o1VDtXoDyngD1gvOtFbDC9NkHGg28Hbgg8BgRJzYmhDzcyIwM6tf01VDkm6QtBn4FEnvwaXA4MR7mZVfq+fWP3wYLrss6fa97LLkddY8/1lj0NyaAF4nwBqV99LQV4GfAB4CvkVyWWicORCL5W8E1iqtrlU/fBhmzIAjR46OTZqUjFWWcQ4OJiWR1WP/+q9w+unH9gzMn197TQCvE2C1NN1ZHBG/nB7oNcCFwDckDUTEqa0L06y9KmvVYWyt+iWX1H+8FSvGJgGAl146tpa/ui9gdGz58uyegY0bj5Z8jq4JAEengx5vrJnPYv0l76WhSyR9FLiJZLGauwGvMWxdrdW16lu3NhfP/fdnj+dZE8DrBFgz8nYWX0SykMzbIuI1EbEiIm4qMC6zwrW6Vn308kyjfvqns8fzrAngdQKsGbkSQURcGRFfioh/k+QvmtYTWl2rvmYNHFd1sXXSpGNr+QcHs8fWrcvuGcizJoDXCbBm5J19tNJVwNpWB2LWbs2uC1Dt+ONh//7kXsG2bcmkb2vWJMerruWH7N6AZtYEyBrzjWLLo64+AgBJ90bEgoLiqclVQ2Zm9WvFegSV3t1kPGY9IWu+fMg3h349c+03My+/5/S3PCZMBOMtUC/pVEimpi4iKLOyy+pByFvLX0//QjO9Dp7T3/LKu3h91sM3ja1vZc2Xv3lz8qg1h349c+03My+/5/S3vHItXm9mY2X1IFTX8cPRWv7Kpq6J+heqm7/q2TZPjHn3tf6S+x6BpDcBZwI/qlaOiKuKCMqs7EZ7EEa7kuFoHX9lQsiq5c/ad7ya/3q2beW+1l/ydhZfR7Jg/fsAAb8CvKLAuMxKLasHIW8tfz39C830OnhOf8sr76Rz90XE6yqepwPrI+K8mju3mMtHrSyy5suHfLX89cy138y8/J7T30Y1vR6BpC0RsVjSPcBbgWeAByPiVa0NtTYnAjOz+rWij2CtpJnAn5HMORTADa0Jz8zMOilvIvjfEfECcJuktSQ3jDNqJMzq1w1NT800j5mVXd5E8A/A6wHShPCCpB2jY2aN6oamp2aax8y6Qa3O4tnAKcDxkhaQVAwBzABOKDg26wOtXhymCFkxeiEY6yW1vhFcCFwOnAp8rGJ8P/DhgmKyPtINTU/NNI+ZdYNancWfBT4r6W0RcVubYrI+0g1NT800j5l1g7wrlG2SdKOk9QCSXivpXQXGZX2iG5qemmkeM+sGeW8Wr0kff5S+/kfgS8CNRQRl/aPVi8MUYbwYodxxm+WVt6FsW0ScU7kojaSdETG/6ACruaHMzKx+EzWU5b00dEjSj5M0kiHpZ4F9NU56k6SnJT0wzvuS9HFJj0q6T5JLUa1uw8OwahUsW5Y8Dw83tx0k5aJr18LVVyfPIyP548nat5njmbVD3m8Erwc+QTL76IPALODSiLhvgn3OBw4Cn4uIszLeX04yid1yYDFwTUQsrhWLvxHYqOFhmD0b9uw5OjY4mKz7O2VK/dtB6xeCcb+BlUUrvhE8BHwV2Ab8APgrkvsE44qIbwPPTrDJW0iSRETEPcBMSXNyxmPG6tVjf7lD8nr16sa2g9YvBJN3sRqzTsqbCD4H/BTwv0i+Gfwk8Pkmz30K8HjF6yfSsWNIukLSkKSh3bt3N3la6xWbNmWPjzZ71bsdTNzXUMt4/QbVPQd5j2fWLnkTwVkR8ZsR8Y308Vskl4naIiKuj4iFEbFw1qxZ7TqtldzSpdnjS5Y0th0c7RmoVO9CMJWmTj3ac1Dv8czaJW8i2JHeIAZA0mKg2Qv1TwKnVbw+NR0zy2XlyuRaf6XBwWS8ke2g9QvBuN/AukHePoKzgc2S/jV9fTrwiKT7gYiI1zVw7tuBKyV9keRm8b6IeKqB41ifmjIlueG7enVymWfJkuSXe/UN4LzbQXN9De43sG6Vt2powmUpI+L7GfvcAlwAnExyg/kjwOR0++skCbgWuAh4DlgRETW/ZbhqyMysfk0vTJP1iz7HPu+o8X4A7633uGZm1lp57xGYmVmPciIwM+tzTgRmZn3OicDMrM85EZiZ9TknAjOzPudEYGbW55wIzMz6nBOBmVmfcyIwM+tzTgRmZn3OicDMrM85EZiZ9TknAjOzPudEYGbW55wIzMz6nBOBmVmfcyIwM+tzTgRmZn3OicDMrM85EZiZ9TknAjOzPudEYGbW55wIzMz63HGdDqDXjYzA+vVw772wYAFcfDEMDHQ6KjOzo5wICjQyAhdeCFu2wKFDMG0aLF4Md97pZGBm5eFLQwVavz5JAgcPQkTyvGVLMm5mVhZOBAW6997km0ClQ4dg586OhGNmlsmJoEALFiSXgypNmwbz53ckHDOzTE4EBbr44uSewPTpICXPixcn42ZmZeGbxQUaGEhuDK9fn1wOmj/fVUNmVj5OBAUbGIBLLkkeZmZlVOilIUkXSXpE0qOS/jDj/csl7Za0M338ZpHxlMnICKxdC1dfnTyPjHQ6IjPrV4V9I5A0AHwS+HngCWCbpNsj4qGqTb8UEVcWFUcZub/AzMqkyG8Ei4BHI+KxiBgGvgi8pcDzdQ33F5hZmRSZCE4BHq94/UQ6Vu1tku6TdKuk07IOJOkKSUOShnbv3l1ErG3l/gIzK5NOl4/eAcyNiNcBdwGfzdooIq6PiIURsXDWrFltDbAI7i8wszIpMhE8CVT+hX9qOvYjEfFMRLyQvrwBOLvAeErD/QVmViZFlo9uA14t6ZUkCeAy4J2VG0iaExFPpS/fDDxcYDyl4f4CMyuTwhJBRByRdCVwJzAA3BQRD0q6ChiKiNuB35X0ZuAI8CxweVHxlI37C8ysLBQRnY6hLgsXLoyhoaG2njPvmgKHD8OKFbB1KyxaBGvWwJQp2fvmPabXMzCzVpC0PSIWZr3nzuIa8tb8Hz4MM2bAkSPJ6+99D269Fc47D4aGxu67bh0sX177mO43MLN26HTVUOnlrflfseJoEhg1MgIbNhy77+rV+Y7pfgMzawcnghry1vxv3Zq9f/XUEYcOwaZN+Y7pfgMzawcnghry1vwvWpS9f/UlnGnTYOnSfMd0v4GZtYMTQQ15a/7XrIHjqu64DAwk9wiq9125Mt8x3W9gZu3gqqEcRit3atX8j1YNbdsG55wztmqoet+8x8y7nZnZRCaqGnIiMDPrAxMlAl8aymF4GFatgmXLkufh4eSv/8sug3nzkufDh+tbY8DrEZhZWfgbQQ3DwzB7NuzZc3Rs5kw4cGDsL+/R+wHVPQNZNf/uDzCzdvM3giasXj02CQDs3XvsX/Dj9Qxk1fy7P8DMysSJoIZNm/Jvm9UzkFXz7/4AMysTJ4Iali7Nv21Wz0BWzb/7A8ysTJwIali5EgYHx47NnHnsL/3xegayav7dH2BmZeJJ52qYMgV27UruFWzeDEuWJMlhZCR/z0A1r0dgZmXiqiEzsz7gqiEzMxtXXySCepq3sprHDh6E889P7hWcf37yetcuOOkkmDQped61C559Fk4/HSZPTp6ffRb27YMzz4Tjj0+e9+2rLyY3nplZ0Xr+0lA9zVtZzWMzZsD+/S0KPvXMM/D2t3thGjNrn76+NFRP81ZW81irkwAkN4e9MI2ZlUXPJ4J6mrfqaR5rxlNPeWEaMyuPnk8E9TRv1dM81ow5c7wwjZmVR88ngnqat7Kax2bMaH1MO3d6YRozK4+ev1kM9S3uMjx8bPPY8DAsXw4PPABnnQXr1iXX6884I5mF9MQT4ZFHkoay+fOTSz9z5iTnGxhIjvPYY8mU1Zs3J1VGXpjGzNrJC9OYmfW5vq4amkgzNfpZ+2b1G5iZlV3fzjXUTI1+1r5nnw3f+tbRbTZsSC4ZHTiQXNs3Myurvv1G0EyNfta+GzZkb7t8eWvjNjNrtb5NBM3U6Gft+9JL2ds+8EBD4ZmZtU3fJoJmavSz9p00zr/kWWc1FJ6ZWdv0bSJopkY/a9/zzsvedt261sZtZtZqfXuzuJnFYcbb9/DhY/sNfKPYzMrOfQRmZn2gY30Eki6S9IikRyX9Ycb7L5P0pfT9LZLmFhmPmZkdq7BEIGkA+CRwMfBa4B2SXlu12buAPRHxKuDPgY8WFY+ZmWUr8hvBIuDRiHgsIoaBLwJvqdrmLcBn059vBZZJUoExmZlZlSITwSnA4xWvn0jHMreJiCPAPuDHqw8k6QpJQ5KGdu/eXVC4Zmb9qSvKRyPi+ohYGBELZ82a1elwzMx6SpHlo08Cp1W8PjUdy9rmCUnHAScBz0x00O3bt/9Q0vcbjOlk4IcN7ltG/jzl1UufBXrr8/TSZ4H8n+cV471RZCLYBrxa0itJfuFfBryzapvbgf8M/ANwKXB31KhnjYiGvxJIGhqvfKob+fOUVy99Fuitz9NLnwVa83kKSwQRcUTSlcCdwABwU0Q8KOkqYCgibgduBD4v6VHgWZJkYWZmbVRoZ3FErAPWVY2tqvj5eeBXiozBzMwm1hU3i1vo+k4H0GL+POXVS58Feuvz9NJngRZ8nq6bYsLMzFqr374RmJlZFScCM7M+1xeJQNJNkp6W1BPrhUk6TdI3JD0k6UFJv9fpmBolaaqkrZK+k36W/9npmJolaUDSvZLWdjqWZkn6F0n3S9opqeun/ZU0U9Ktkr4r6WFJb+h0TI2SdEb6v8voY7+k9zd0rH64RyDpfOAg8LmI6Po1wyTNAeZExA5JJwLbgV+KiIc6HFrd0rmlpkXEQUmTgY3A70XEPR0OrWGS/gBYCMyIiEs6HU8zJP0LsDAieqIBS9JngQ0RcYOkKcAJEbG3w2E1LZ3k80lgcUTU3XDbF98IIuLbJH0KPSEinoqIHenPB4CHOXYep64QiYPpy8npo2v/OpF0KvAm4IZOx2JjSToJOJ+kf4mIGO6FJJBaBvxzI0kA+iQR9LJ0DYcFwJYOh9Kw9FLKTuBp4K6I6NrPAvwF8CHgpQ7H0SoB/J2k7ZKu6HQwTXolsBtYk166u0HStFo7dYnLgFsa3dmJoItJmg7cBrw/IvZ3Op5GRcRIRMwnmY9qkaSuvHwn6RLg6YjY3ulYWujciHg9yboi700vs3ar44DXA5+KiAXAIeCYBbO6TXqJ683A3zR6DCeCLpVeT78NuDkivtLpeFoh/Zr+DeCiDofSqKXAm9Pr6l8E/qOkL3Q2pOZExJPp89PAV0nWGelWTwBPVHzjvJUkMXS7i4EdEfGDRg/gRNCF0husNwIPR8THOh1PMyTNkjQz/fl44OeB73Y0qAZFxH+PiFMjYi7JV/W7I+LXOxxWwyRNS4sRSC+h/ALQtZV3EbELeFzSGenQMqDrCiwyvIMmLgtBwXMNlYWkW4ALgJMlPQF8JCJu7GxUTVkK/Cfg/vTaOsCH07mdus0c4LNp1cMk4MsR0fVllz3i5cBX00UDjwP+OiL+trMhNe19wM3p5ZTHgBUdjqcpaYL+eeDdTR2nH8pHzcxsfL40ZGbW55wIzMz6nBOBmVmfcyIwM+tzTgRmZn3OicAMkHS5pJ/Isd1nJF2aMT63iNltJV0gaUmt85s1w4nALHE5UDMRdMAFwJJaG5k1w4nAelL6F/p3Jd2czjt/q6QTJJ0t6VvpJGp3SpqT/oW9kKTRaKek4yWtkrRN0gOSrk+7ufOee0DSn6X73yfp3en4BZK+WTEf/s2jx5W0PB3bLunjktamEwr+NvD7aVznpac4X9JmSY/524G1ghOB9bIzgL+MiNcA+4H3Ap8ALo2Is4GbgD+JiFuBIeDXImJ+RBwGro2Ic9L1K44H6llX4F3Avog4BzgH+C1Jr0zfWwC8H3gtMA9YKmkq8Gng4jSuWQAR8S/AdcCfp3FtSI8xBzg3jelP6/1HMavWF1NMWN96PCI2pT9/AfgwcBZwV/qH+ADw1Dj7vlHSh4ATgB8DHgTuyHneXwBeV/HX+knAq4FhYGtEPAGQTg8yl2TRpMci4nvp9rcAE035/LWIeAl4SNLLc8ZkNi4nAutl1fOnHAAejIgJlydM/0L/S5KVuR6X9MfA1KptFpP8FQ+wCriv8m3gfRFxZ9U+FwAvVAyN0Nj/ByuPkfuSldl4fGnIetnpFWvSvhO4B5g1OiZpsqQz0/cPACemP4/+0v9huubDMdfhI2JLerlmfkTcXvX2ncB70qnCkfSTNRZAeQSYl94TAPjVivcq4zIrhBOB9bJHSBZTeRgYJL0/AHxU0neAnRytyPkMcF16ueYF4K9Iply+E9hW53lvIJneeEdaUvppJvjLP70n8TvA30raTvLLf1/69h3AL1fdLDZrKc8+aj0p/et6bXqzt/QkTY+Ig2kV0SeBf4qIP+90XNYf/I3ArBx+K/028iDJzeVPT7y5Wev4G4GZWZ/zNwIzsz7nRGBm1uecCMzM+pwTgZlZn3MiMDPrc/8fILZiitTo5YQAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -393,194 +406,218 @@ } ], "source": [ - "# 2 可视化信息\n", - "def visualizeIris(iris_df, feature='sepal', form='ro', mark_size=5):\n", - " plt.plot(iris_df[feature+'-length'], iris_df[feature+'-width'], form, markersize=mark_size)\n", - " plt.title('original dataset')\n", - " plt.xlabel(feature+'-length')\n", - " plt.ylabel(feature+'-width')\n", - " plt.show()\n", - "\n", + "#获取样本数据\n", + "datamat = dataset.loc[:, ['sepal-length', 'sepal-width']]\n", + "# 真实的标签\n", + "labels = dataset.loc[:, ['class']]\n", + "#原始数据显示\n", + "originalDatashow(datamat)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "import random\n", "\n", - "visualizeIris(iris_df, feature='sepal', form='ro')\n", - "visualizeIris(iris_df, feature='petal', form='bo')\n" + "def randChosenCent(dataSet,k):\n", + " \"\"\"初始化聚类中心:通过在区间范围随机产生的值作为新的中心点\"\"\"\n", + "\n", + " # 样本数\n", + " m=shape(dataSet)[0]\n", + " # 初始化列表\n", + " centroidsIndex=[]\n", + " \n", + " #生成类似于样本索引的列表\n", + " dataIndex=list(range(m))\n", + " if False:\n", + " for i in range(k):\n", + " #生成随机数\n", + " randIndex=random.randint(0,len(dataIndex))\n", + " #将随机产生的样本的索引放入centroidsIndex\n", + " centroidsIndex.append(dataIndex[randIndex])\n", + " #删除已经被抽中的样本\n", + " del dataIndex[randIndex]\n", + " else:\n", + " random.shuffle(dataIndex)\n", + " centroidsIndex = dataIndex[:k]\n", + " \n", + " #根据索引获取样本\n", + " centroids = dataSet.iloc[centroidsIndex]\n", + " return mat(centroids)" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ - "# 3 Kmeans算法封装\n", - "class KMeans():\n", - " \"\"\"\n", - " @brief: 用于分析鸢尾花的 K-means 聚类算法\n", - " @param: data 数据集\n", - " @param: k 簇数\n", - " @param: feature 要分类的特征(默认'sepal',可选'petal')\n", - " \"\"\"\n", - "\n", - " def __init__(self, data, k=3, feature='sepal'):\n", - " self.color = 'rbckmyw' # 绘图颜色\n", - " self.k = k # 分成几簇\n", - " self.data = data # 保存数据\n", - " self.feature = feature # 要分类的特征\n", - " self.feature_points = np.array([iris_df[feature+'-length'], iris_df[feature+'-width']]).T # 特征\n", - " self.clusters = {key: [] for key in range(self.k)} # k类分类点(空集,待填充)\n", - " self.centroids = random.sample(list(self.feature_points), k) # 随机重心\n", - " self.count = 0 # 用于记录迭代了几次\n", - "\n", - " # 欧式距离\n", - " def __distance(self, point1, point2):\n", - " return np.sqrt(np.square(np.array(point1) - np.array(point2)).sum())\n", - "\n", - " # 计算重心\n", - " def __calc_centroids(self, points):\n", - " np_points = np.array(points)\n", - " return np_points.mean(axis=0)\n", - "\n", - " # 可视化绘图\n", - " def __drawPoints(self, index, cluster, props='ro'):\n", - " # 绘制重心\n", - " plt.plot(self.centroids[index][0], self.centroids[index][1], '^', c=self.color[index], ms=14)\n", - " np_cluster = np.array(cluster) # 转成numpy数组,方便绘图\n", - " plt.plot(np_cluster[:, 0], np_cluster[:, 1], props) # 绘图\n", - " plt.xlabel(self.feature+'-length')\n", - " plt.ylabel(self.feature+'-width')\n", - " plt.grid(True)\n", - "\n", - " # 计算是否满足停止条件\n", - " def __stopable(self, index_list, index_list_his):\n", - " self.count = self.count+1 # 做一次检查,说明迭代了一次\n", - " # 初次无历史索引,忽略\n", - " if len(index_list) != len(index_list_his):\n", - " return False\n", - " np_index_list = np.array(index_list)\n", - " np_index_list_his = np.array(index_list_his)\n", - " return not np.any(np_index_list-np_index_list_his)\n", - "\n", - " # 生成簇\n", - " def __cluster(self):\n", - " min_index_list = []\n", - " while True:\n", - " # 清空点集,重新归类\n", - " del self.clusters\n", - " self.clusters = {key: [] for key in range(self.k)}\n", - "\n", - " min_index_list_his = min_index_list\n", - " min_index_list = []\n", - " for point in self.feature_points:\n", - " # 计算所有点和重心距离,存入distance_array\n", - " dis = np.zeros(self.k)\n", - " #dis = np.array([])\n", - " for i in range(self.k):\n", - " dis[i] = self.__distance(self.centroids[i], point)\n", - "\n", - " # 找出最小值的索引\n", - " min_index = np.argmin(dis)\n", - " min_index_list.append(min_index)\n", - " # 按最小索引分类\n", - " self.clusters[min_index].append(point)\n", - "\n", - " # 清空当前重心\n", - " self.centroids.clear()\n", - " # 重新计算新的重心\n", - " for i in range(self.k):\n", - " self.centroids.append(self.__calc_centroids(self.clusters[i]))\n", - " # 绘图,可视化\n", - " self.__drawPoints(i, self.clusters[i], props=self.color[i]+'.')\n", - " plt.show()\n", - "\n", - " # 若无点的索引变化,则退出聚类循环\n", - " if self.__stopable(min_index_list, min_index_list_his):\n", - " return\n", - "\n", - " # 返回最终结果\n", - " def result(self):\n", - " self.__cluster()\n" + "\n", + "def distEclud(vecA, vecB):\n", + " \"\"\"算距离, 两个向量间欧式距离\"\"\"\n", + " return sqrt(sum(power(vecA - vecB, 2))) #la.norm(vecA-vecB)\n", + "\n", + "\n", + "def kMeans(dataSet, k):\n", + " # 样本总数\n", + " m = shape(dataSet)[0]\n", + " # 分配样本到最近的簇:存[簇序号,距离的平方] (m行 x 2 列)\n", + " clusterAssment = mat(zeros((m, 2)))\n", + "\n", + " # step1: 通过随机产生的样本点初始化聚类中心\n", + " centroids = randChosenCent(dataSet, k)\n", + " print('最初的中心=', centroids)\n", + "\n", + " # 标志位,如果迭代前后样本分类发生变化值为True,否则为False\n", + " clusterChanged = True\n", + " # 查看迭代次数\n", + " iterTime = 0\n", + " \n", + " # 所有样本分配结果不再改变,迭代终止\n", + " while clusterChanged:\n", + " clusterChanged = False\n", + " \n", + " # step2:分配到最近的聚类中心对应的簇中\n", + " for i in range(m):\n", + " # 初始定义距离为无穷大\n", + " minDist = inf;\n", + " # 初始化索引值\n", + " minIndex = -1\n", + " # 计算每个样本与k个中心点距离\n", + " for j in range(k):\n", + " # 计算第i个样本到第j个中心点的距离\n", + " distJI = distEclud(centroids[j, :], dataSet.values[i, :])\n", + " # 判断距离是否为最小\n", + " if distJI < minDist:\n", + " # 更新获取到最小距离\n", + " minDist = distJI\n", + " # 获取对应的簇序号\n", + " minIndex = j\n", + " # 样本上次分配结果跟本次不一样,标志位clusterChanged置True\n", + " if clusterAssment[i, 0] != minIndex:\n", + " clusterChanged = True\n", + " clusterAssment[i, :] = minIndex, minDist ** 2 # 分配样本到最近的簇\n", + " \n", + " iterTime += 1\n", + " sse = sum(clusterAssment[:, 1])\n", + " print('the SSE of %d' % iterTime + 'th iteration is %f' % sse)\n", + " \n", + " # step3:更新聚类中心\n", + " for cent in range(k): # 样本分配结束后,重新计算聚类中心\n", + " # 获取该簇所有的样本点,nonzero[0]表示A == cent的元素所在的行,如果没有[0],列也会表示\n", + " ptsInClust = dataSet.iloc[nonzero(clusterAssment[:, 0].A == cent)[0]]\n", + " # 更新聚类中心:axis=0沿列方向求均值。\n", + " centroids[cent, :] = mean(ptsInClust, axis=0)\n", + " return centroids, clusterAssment\n" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 13, "metadata": {}, "outputs": [ { - "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, + "name": "stdout", + "output_type": "stream", + "text": [ + "最初的中心= [[4.6 3.6]\n", + " [4.9 3. ]\n", + " [5.8 2.7]]\n", + "the SSE of 1th iteration is 93.220000\n", + "the SSE of 2th iteration is 50.840500\n", + "the SSE of 3th iteration is 47.318230\n", + "the SSE of 4th iteration is 45.338455\n", + "the SSE of 5th iteration is 44.384855\n", + "the SSE of 6th iteration is 43.591498\n", + "the SSE of 7th iteration is 41.904928\n", + "the SSE of 8th iteration is 39.066514\n", + "the SSE of 9th iteration is 38.316500\n", + "the SSE of 10th iteration is 37.912536\n", + "the SSE of 11th iteration is 37.423306\n", + "the SSE of 12th iteration is 37.136261\n", + "the SSE of 13th iteration is 37.123702\n" + ] + } + ], + "source": [ + "# 进行k-means聚类\n", + "k = 3 # 用户定义聚类数\n", + "mycentroids, clusterAssment = kMeans(datamat, k)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def datashow(dataSet, k, centroids, clusterAssment): # 二维空间显示聚类结果\n", + " from matplotlib import pyplot as plt\n", + " num, dim = shape(dataSet) # 样本数num ,维数dim\n", + "\n", + " if dim != 2:\n", + " print('sorry,the dimension of your dataset is not 2!')\n", + " return 1\n", + " marksamples = ['or', 'ob', 'og', 'ok', '^r', '^b', ' len(marksamples):\n", + " print('sorry,your k is too large,please add length of the marksample!')\n", + " return 1\n", + " # 绘所有样本\n", + " for i in range(num):\n", + " markindex = int(clusterAssment[i, 0]) # 矩阵形式转为int值, 簇序号\n", + " # 特征维对应坐标轴x,y;样本图形标记及大小\n", + " plt.plot(dataSet.iat[i, 0], dataSet.iat[i, 1], marksamples[markindex], markersize=6)\n", + "\n", + " # 绘中心点\n", + " markcentroids = ['o', '*', '^'] # 聚类中心图形标记\n", + " label = ['0', '1', '2']\n", + " c = ['yellow', 'pink', 'red']\n", + " for i in range(k):\n", + " plt.plot(centroids[i, 0], centroids[i, 1], markcentroids[i], markersize=15, label=label[i], c=c[i])\n", + " plt.legend(loc='upper left') #图例\n", + " plt.xlabel('sepal length')\n", + " plt.ylabel('sepal width')\n", + "\n", + " plt.title('k-means cluster result') # 标题\n", + " plt.show()\n", + " \n", + " \n", + "# 画出实际图像\n", + "def trgartshow(dataSet, k, labels):\n", + " from matplotlib import pyplot as plt\n", + "\n", + " num, dim = shape(dataSet)\n", + " label = ['0', '1', '2']\n", + " marksamples = ['ob', 'or', 'og', 'ok', '^r', '^b', '" ] @@ -592,7 +629,7 @@ }, { "data": { - "image/png": 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\n", 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qX/LHPP9VBJd9SgSNzlfdfZmZLSPo1b7ZzC4naAT2Ar8g6GD+Uc1KUQeyiMhERHUgxxlNdL27/1FUWVbUGIiINC6J0UTzKiosoWv7VSUxiSpqwlgSdcSJc7LHksRx5EYCf9g4iViUrEWaqtYEBOBi4CmCSzhPhrengJ3A5fUmL6R5y+uksyQmUUVNGEuijjhxTvZYkjiO3EjgD7tqwyrvWN7hLGX/rWN5h6/asKqhbUQmgwQmnV3u7hen2iI1IK+XiZKYRBU1YSyJOuLEOdljSeI4ciOBP2ycRCxK1iJpi7pMVHOegZktCH/92qjf93P3BxKIr2UkMYkqiQljUXXEiXOyx5LEceRGAn/YOIlYlKxFmq1en8Fnw9tVBOsKDQJ/H/5+VfqhFUsSSWVqTQxrZMJYVB1x4pzssSRxHLmRwB82TiIWJWuRZqvZGLj7ae5+GvAEsMDdF7r7icAJwPasAiyKJCZRRU0YS6KOOHFO9liSOI7cSOAPGycRi5K1SNPV61AI+xMejlOW1S2vHcjuQZ9iZ6e7WfBzIitw9ve7l0pBP2WpNLFO16g64sQ52WNJ4jhyI4E/7KoNq7zz851uS807P99ZtWM4zjYiE0UCHcg3ECxMtyos6iVYmvpd6TVRteW1A1lEJM+SmGfwHuBh4MPhbVNYJjkVNSxeSWXyaeBzPZQvNWypUb7UGPhclaxDacfwrQHKy8rYZUZ5WZmBbxV5gog0QmkvW8zQUHBtfvfuA2UdHQfW/Yl6XJpj4HM9rHxyTZASaoRD/8HdrLhgdc3nJRrDtwZYuXbluPL+hf2sOHNFJjFIeia8HIWZfdXd32lmG4FxG7n7q5ILMz41BvVFDYtXUpl8Kl9qDFf5nl7aB3svy+YDW3lZmWEfP/63ZCX2XlK0CSJSacLzDAguCQGclWxIkqaoYfFKKpNPwzUy0NUqTyWGKg1BvXJpLfWGlj4R/toDvMjdt4y+ZROeNCpqWHwS8yEkeaUaH/5rlacSg1WfCFKrXFpLnA7kOcDfmdl/m9nXzOyDZjY/5bhkgqKGxSupTD71zegefzHWw/KsYjix+kSQWuXSWiIbA3e/1N1PJ1i99B7gImBd2oHJxEQljVFSmXxaccFq+g/uprQP8KCvIMvOY4AVZ66gf2H//m8CJSup87iNxJln8JfAa4HpwHrgu8A9oy4jZUodyCIijUtinsE7gEOB1cDXgW82qyFIUxJj76PqyGqNf80jaFBBTtjQygG6LiozZanRdVGZoZVjX0BZ5UOI2k+sOBL4Z1D+h4TVm548cgMOBt4KLAd+DHw3zvPSuKWxHEUSuQii6shqjf8kjqWtFOSErVrR7x1LGJvvYAm+akXwAsoqH0LUfmLFkcA/g/I/NI4ElqM4Fng98EZgIbCV4DLRJSm2UTWlcZkoibH3UXVktca/5hE0qCAnrOuiMlumj38BdT5dYvNn9maWDyFqP7HiSOCfQfkfGjeZeQYjPgn8B/BF4Afuviep4PIiibH3UXVktca/5hE0qCAn7PGXVn+hjJRnlQ8haj+x4kjgn0H5H5IXZzTRWe7+aXf/fis2BJDM2PuoOrJa41/zCBpUkBM255nqL5SR8qzyIUTtJ1YcCfwzKP9D8uJ0ILe8JMbeR9WR1Rr/mkfQoIKcsOVH9dFR8VGsY09QDtnlQ4jaT6w4EvhnUP6HFNTrUMjjLa18BknkIoiqI6s1/pM4lrZSkBO2akW/d15YcrsU77ywtL/zeP/jGeVDiNpPrDgS+GdQ/ofGMNkO5LzRPAMRkcZNeJ6Bmd1iZjfXuqUTbrFlMVehpycYmj1y68l+yXtpkizG1Q9d0EPXR40pS42ujxpDFzT+AstDXgZpXL0lrN9Y74nu/p1UIoqQ128GSeQJiKqjpwfWrBn/vO5uWJ3dqgXSBEMbh+i7pY/dew68ODqmdjD4tkF6j0tmLZGhC3roe8kadr/oQFnHCzD4bDe9n4v3AstDXgapbsL5DPIqr41BFnMVrM5yxgX7M0qDshhX3/VRY8sh48s7fwWbPx/vBZaHvAxS3aTnGZjZK4DLgWOAaSPl7n5UIhG2iCzmKkj7ymJc/eMzGiuvJg95GWRi4gwt/UdgJbAXOA34MrAqzaCKKIu5CtK+shhXP2dXY+XV5CEvg0xMnMbgJe6+huCS0hZ3XwqcmW5YxZPFXIXuGkvb1yqX1pHFuPrl1k3HC2PLOl4IyuPKQ14GmZg4jcHzZjYF+ImZfcDMfo9gOWsZJYk8AVF1rF49/o1fncftofe4XgbfNkjnjE4Mo3NGZ6KdxwC9n1vN4LPddP4KzIO+gkY6jyEfeRlkYuIsVPdq4BHgEOCvgBnAp9393tSjqyKvHcgiInk26Q5kd/9BWNEU4EPu/lTMHU8jWODuxeF+bnL3Syu2eTFBH8SJwE7gD9x9c5z6RUQkOZGXicxsoZltBDYAG83sh2Z2Yoy6nwdOd/fjgfnAW8zs5Iptzgd+6e5HA58HPtVQ9DHFmQyWl/wmUTk/CnMsSQQRJwFKAvtJImlMVB1Z6PlyD3aZ7b/1fLnKZK+I8xXnODKZ/BbnnOcguU1R4oyl3loV4SWkDcDrR91/HbAh6nkVdXQADwAnVZT/G3BK+HsZ+Dnhpatat0bXJoqTuyQv+U2icn4U5liSCCJOApQE9pNE0pioOrLQfV33mP2P3Lqv6x51sPXPV5zjyCKpTKxznoPkNkWJcwQJJLdZ7+4nVJQ94O4LohoaMysB64Cjgavc/eMVjz8EvMXdt4X3/ytsMH5eq85G+wziTAbLS36TqJwfhTmWJIKIkwAlgf0kkTQmqo4s2GW1B/L7peH/eMT5inMcmUx+i3POc5DcpihxjkgiB/J3zOzvzOxUM3ujma0A7jazBWZWt0Fw92F3nw/MBl4TZk1rmJn1mdlaM1u7Y8eOhp4bZyJXXiZ7ReX8KMyxJBFEnAQoCewniaQxUXXkRsT5inMcmUx+i3POc5DcpihxxhWnMTge+G3gUmApMBc4Afgs8LdxduLuvwK+Dbyl4qHtwBEAZlYmGKm0s8rzB919obsvnDlzZpxd7hdnIldeJntF5fwozLEkEUScBCgJ7CeJpDFRdeRGxPmKcxyZTH6Lc85zkNymKHHGFSfT2Wl1bqfXep6ZzTSzQ8LfXwK8CfhRxWY3A+8Ofz8XuMujrls1KM5ksLzkN4nK+VGYY0kiiDgJUBLYTxJJY6LqyEL3kdUndY0pjzhfcY4jk8lvcc55DpLbFCXO2Op1KITvyy8DrgVuD+8fA5wf43mvAtYTdEA/BFwSli8DFoW/TwO+BjwG3A8cFVXvRJLbxMldkpf8JlE5PwpzLEkEEScBSgL7SSJpTFQdWajsRB7Tebw/0PrnK85xZJFUJtY5z0Fym6LE6Z5MB/LtBOsTLXH348PLOevd/bhEW6WYNOlMRKRxSXQgH+buXwX2Abj7XiBnPWOTl4ux+TJWXiZVJBFHjDoix6NnkT2phRRmfH9e1PvaEH5ruBs4FHggvH8y8J2o56V1SyMHci7G5stYeZlUkUQcMeqIHI+exLG20Qs9T+P784IELhMtAL4EHEtw7X8mcK67b0ithaojjctEuRibL2PlZVJFEnHEqCNyPHoW2ZNaSJ7G9+dFIpnOwn6CVxIks3vU3fdEPCU1aTQGU6ZUzxRmBvv2JboriSvOHyWLP1wSccSoY8plU/Bxaz+DYey7NF4diRxLi4g8n21o0n0GZvb7BDkNHgbeDnwlarJZ0eRibL6MlZdJFUnEEaOOyPHoyp7UkCKN78+LOB3In3D3p8zsdUA3wTDTlemGla1cjM2XsfIyqSKJOGLUETkePYvsSS2kUOP786Jeh0J4CWl9+PNy4P+NLmvGLY0OZPecjM2XsfIyqSKJOGLUETkePYljbaMXel7G9+cFCXQg30qwbMSbgAXAs8D9HixNnTnNMxARaVwS8wzeSbDU9Js9WGPo14GLkglPpLZY48Qjch5kNtY8gTiithn41gDlZWXsMqO8rMzAtyaQ7CIJLTRXIS+5GXKh3teGPN7Sukwk+RJrnHhEzoPMxponEEfUNv239lfNV9B/awPJLpLQQnMV8pKbIStM9jJR3ugyUXuINU48IudBZmPNE4gjapvysjLDPn4fJSux95KYyS6S0EJzFfKSmyErSVwmEslcrHXgI3IeZLaWfAJxRG1TrSEYU55VIotcJMxIRl5yM+SFGgPJpVjjxCNyHmQ21jyBOKK2KVn1fewvz2oOQQvNVchLboa8UGMguRRrnHhEzoPMxponEEfUNn0nVt/H/vKs5hC00FyFvORmyI16HQp5vKkDuX3EGicekfMgs7HmCcQRtU3/rf1euqzkLMVLl5UOdB7vryCjOQQtNFchL7kZsoA6kEVERB3IMjF5GEueQAwDH59H+RLDlhrlS4yBj89rShyxdhMxHr0w49WlkMrNDkByaGgouN69e3dwf8uWA9fFe3sLE8PAx+ex8iWbgrV2geESwf2Pz2PFpx7OLI5Yu9k4RN8tfezeE+xny64t9N0S7Kf3uN7Ix0UmS5eJZLw8jCVPIIbyJcZwlUE4pWHYuyzm6z6jcxE1Hj1P49WlmHSZSBqXh7HkCcQwXOPVXas8rThi7SZiPHqRxqtLMakxkPHyMJY8gRhKNXKY1CpPK45Yu4kYj16k8epSTGoMZLw8jCVPIIa+549hXLIrD8szjCPWbiLGoxdqvLoUU71xp3m8aZ5BRvIwljyBGPo/doyXPoFzKV76BN7/sWOaEkes3USMR8/LeHUpJjTPQERE1IEs+ZXE+P2oOnIyR0DaV1FeG5pnIM2RxPj9qDpyMkdA2leRXhu6TCTNkcT4/ag6cjJHQNpXnl4bukwk+ZTE+P2oOnIyR0DaV5FeG2oMpDmSGL8fVUdO5ghI+yrSa0ONgTRHEuP3o+rIyRwBaV+Fem3UG3eax5vmGbSQJMbvR9WRkzkC0r7y8tpA8wxEREQdyCIiEim1xsDMjjCzb5vZJjN72Mw+XGWbU81sl5k9GN4uSSueVpHIBJY8JK6JE0eMOIsyoSeOoZUDdF1UZspSo+uiMkMrB7KPoYXOpzQmzUlne4E/c/cHzOwgYJ2Z3enumyq2u8fdz0oxjpaRyASWPCSuiRNHjDiLNKEnytDKAfq2r2T39OD+lunD9G1fCSuht39FNjG00PmUxmXWZ2Bm3wSudPc7R5WdClzYSGPQzn0GiUxgyUPimjhxxIgzTxN6JqvrojJbpg+PK+98usTmz+zNJoYWOp8yXi76DMysCzgBuK/Kw6eY2Q/N7HYzq5qg1sz6zGytma3dsWNHmqHmWiITWPKQuCZOHDHiLNKEniiPv3R8Q1CvPJUYWuh8SuNSbwzMbDrwL8BH3P3JiocfADrd/XjgS8C/VqvD3QfdfaG7L5w5c2aq8eZZIhNY8pC4Jk4cMeIs0oSeKHOeqZKfs055KjG00PmUxqXaGJjZVIKGYMjdv175uLs/6e5Ph7/fBkw1s8PSjKnIEpnAkofENXHiiBFnoSb0RFh+VB8de8aWdewJyjOLoYXOp0xAvUkIk7kBBnwZuKLONi/nQL/Fa4DHR+7XurX7pLNEJrDkIXFNnDhixJmXCT1JWLWi3zsvLLldindeWPJVK/qzj6GFzqeMRbMmnZnZ64B7gI3ASNbZvwDmhI3Q1Wb2AaCfYOTRs8AF7v79evW2cweyiMhENa0D2d2/6+7m7q9y9/nh7TZ3v9rdrw63udLd57n78e5+clRDIORnjkASBgagXAaz4OdA9uPqRSSg5DZFkpc5AkkYGICVKw/cHx4+cH9FNuPqReQArU1UJHmZI5CEcjloACqVSrA3m3H1Iu0kF/MMJCF5mSOQhGoNQb1yEUmVGoMiycscgSSUaoyfr1UuIqlSY1AkeZkjkIS+GuPna5WLSKrUGBRJby8MDgZ9BGbBz8HB4nUeQ9BJ3N9/4JtAqRTcV+exSFOoA1lEpA2oAzkhhRreX5RgixJnVnQ+pJnqTU/O460Zy1GsWuXe0eEOB24dHc1bxaGuogRblDizovMhKUM5kCevUMP7ixJsUeLMis6HpCzqMpEagximTAk+qlUyg337xpc3VVGCLUqcWdH5kJSpzyABhRreX5RgixJnVnQ+pMnUGMRQqOH9RQm2KHFmRedDmkyNQQyFGt5flGCLEmdWdD6kydRnICLSBtRnIDJJQysH6LqozJSlRtdFZYZWTiDvguYQSM6pMRCpY2jlAH3bV7Jl+jBusGX6MH3bVzbWIIzkodiyJRgxNJKHQg2C5IguE4nU0XVRmS3Txy+r3fl0ic2fiZl3QXMIJAd0mUhkEh5/afX8CrXKq2/cQnkopGWpMRCpY84z1fMr1CqvvrHmEEj+qTEQqWP5UX107Blb1rEnKI9fieYQSP6pMRCpo7d/BYOz+ul8uoR50FcwOKuf3v4G8i5oDoEUgDqQRUTagDqQRUQkkhoDERFRYyAiImoMREQENQYiIoIaAxERQY2BiIigxkBERFBjICIipNgYmNkRZvZtM9tkZg+b2YerbGNm9kUze8zMNpjZgrTiaStKpCIiDSqnWPde4M/c/QEzOwhYZ2Z3uvumUdu8FXhFeDsJWBn+lIkaSaSye3dwfySRCmgtHBGpKbVvBu7+hLs/EP7+FPAIMKtis7OBL3vgXuAQMzs8rZjawpIlBxqCEbt3B+UiIjVk0mdgZl3ACcB9FQ/NAraOur+N8Q0GZtZnZmvNbO2OHTtSi7MlKJGKiExA6o2BmU0H/gX4iLs/OZE63H3Q3Re6+8KZM2cmG2CrUSIVEZmAVBsDM5tK0BAMufvXq2yyHThi1P3ZYZlMlBKpiMgEpDmayIBrgUfc/XM1NrsZ+ONwVNHJwC53fyKtmNqCEqmIyASkOZrotcAfARvN7MGw7C+AOQDufjVwG3AG8BiwG3hPivG0j95evfmLSENSawzc/buARWzjwPvTikFEROLRDGQREVFjICIiagxERAQ1BiIiAljQh1scZrYD2NLEEA4Dft7E/TeiKLEqzmQVJU4oTqytEGenu9ectVu4xqDZzGytuy9sdhxxFCVWxZmsosQJxYm1HeLUZSIREVFjICIiagwmYrDZATSgKLEqzmQVJU4oTqwtH6f6DERERN8MREREjYGIiKDGoC4zK5nZejO7tcpji81sh5k9GN7e16QYN5vZxjCGtVUeNzP7opk9ZmYbzGxBM+IMY4mK9VQz2zXqnF7SpDgPMbObzOxHZvaImZ1S8XguzmmMOPNyPl85KoYHzexJM/tIxTZNP6cx48zLOf2omT1sZg+Z2Q1mNq3i8Reb2VfC83lfmG2yrjSXsG4FHybI3Xxwjce/4u4fyDCeWk5z91oTTd4KvCK8nQSsDH82S71YAe5x97Myi6a6LwB3uPu5ZvYioCJbUG7OaVSckIPz6e6PAvMh+IBFkMDqGxWbNf2cxowTmnxOzWwW8CHgGHd/1sy+CpwH/NOozc4HfunuR5vZecCngD+oV6++GdRgZrOBM4Frmh3LJJ0NfNkD9wKHmNnhzQ4qr8xsBvAGgsRMuPsL7v6ris2afk5jxplH3cB/uXvlKgJNP6cVasWZF2XgJWZWJvgQ8D8Vj58NXBf+fhPQHSYcq0mNQW1XAB8D9tXZ5pzwK+1NZnZEne3S5MC/m9k6M+ur8vgsYOuo+9vCsmaIihXgFDP7oZndbmbzsgwudCSwA/jH8BLhNWb20opt8nBO48QJzT+flc4DbqhSnodzOlqtOKHJ59TdtwN/CzwOPEGQIfLfKzbbfz7dfS+wCzi0Xr1qDKows7OAn7n7ujqb3QJ0ufurgDs50Apn7XXuvoDga/b7zewNTYojjqhYHyBYP+V44EvAv2YcHwSfuBYAK939BOAZ4M+bEEeUOHHm4XzuF17KWgR8rZlxRImIs+nn1Mx+jeCT/5HAbwIvNbM/nGy9agyqey2wyMw2AzcCp5vZqtEbuPtOd38+vHsNcGK2Ie6PY3v482cE1zdfU7HJdmD0t5bZYVnmomJ19yfd/enw99uAqWZ2WMZhbgO2uft94f2bCN50R8vDOY2MMyfnc7S3Ag+4+/9VeSwP53REzThzck57gJ+6+w533wN8Hfidim32n8/wUtIMYGe9StUYVOHuF7v7bHfvIvi6eJe7j2l5K65nLiLoaM6Umb3UzA4a+R34XeChis1uBv44HK1xMsFXyicyDjVWrGb28pHrmmb2GoLXZ90XcNLc/X+BrWb2yrCoG9hUsVnTz2mcOPNwPiu8i9qXXpp+TkepGWdOzunjwMlm1hHG0s3495+bgXeHv59L8B5Wd4axRhM1wMyWAWvd/WbgQ2a2CNgL/AJY3ISQXgZ8I3xtloF/dvc7zOxPAdz9auA24AzgMWA38J4mxBk31nOBfjPbCzwLnBf1Ak7JB4Gh8HLBfwPvyek5jYozL+dz5APAm4A/GVWWu3MaI86mn1N3v8/MbiK4ZLUXWA8MVrw/XQtcb2aPEbw/nRdVr5ajEBERXSYSERE1BiIighoDERFBjYGIiKDGQEREUGMg0jALVq6stpJt1fIE9vd2Mztm1P27zSz3ydmlWNQYiOTf24FjojYSmQw1BtJywtnO3woXE3vIzP4gLD/RzL4TLpT3byOzyMNP2l+wYH36h8KZpZjZa8zsP8OF4L4/arZv3Bj+wczuD59/dli+2My+bmZ3mNlPzOzTo55zvpn9OHzO35vZlWb2OwQz3D8Txvdb4ea/H273YzN7fUKnTtqYZiBLK3oL8D/ufiYEyz2b2VSChcXOdvcdYQOxHHhv+JwOd58fLp73D8CxwI+A17v7XjPrAf4GOCdmDEsIlgB4r5kdAtxvZqvDx+YDJwDPA4+a2ZeAYeATBOsLPQXcBfzQ3b9vZjcDt7r7TeHxAJTd/TVmdgZwKcF6NSITpsZAWtFG4LNm9imCN9F7zOxYgjf4O8M30xLB8r8jbgBw9/8ws4PDN/CDgOvM7BUEy29PbSCG3yVY7PDC8P40YE74+xp33wVgZpuATuAw4Dvu/ouw/GvAb9ep/+vhz3VAVwNxiVSlxkBajrv/2IK0iWcAf21mawhWSX3Y3U+p9bQq9/8K+La7/54FaQPvbiAMA84Js2cdKDQ7ieAbwYhhJvZ/OFLHRJ8vMob6DKTlmNlvArvdfRXwGYJLL48CMy3ME2xmU21sYpKRfoXXEayYuYtg2d+RZZQXNxjGvwEfHLXC5QkR2/8AeKOZ/ZoFSw6Pvhz1FMG3FJHUqDGQVnQcwTX6Bwmup/+1u79AsOLkp8zsh8CDjF0D/jkzWw9cTZA/FuDTwOVheaOfvv+K4LLSBjN7OLxfU5jr4W+A+4HvAZsJslNBkFPjorAj+req1yAyOVq1VNqemd0NXOjua5scx3R3fzr8ZvAN4B/cvVpCdpHE6ZuBSH4sDb/NPAT8lCanqZT2om8GIiKibwYiIqLGQEREUGMgIiKoMRAREdQYiIgI8P8B3nSmDQdR5vEAAAAASUVORK5CYII=\n", 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" ] @@ -601,21 +638,12 @@ "needs_background": "light" }, "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "迭代了 8 次\n" - ] } ], "source": [ - "k = 3\n", - "# iris = KMeans(data=iris_df, k=k, feature='petal') # 根据花瓣分类\n", - "iris = KMeans(data=iris_df, k=k, feature='sepal') # 根据萼片分类\n", - "iris.result()\n", - "print('迭代了', iris.count, '次')\n" + "# 绘图显示\n", + "datashow(datamat, k, mycentroids, clusterAssment)\n", + "trgartshow(datamat, 3, labels)" ] }, { @@ -627,7 +655,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -680,7 +708,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -732,14 +760,14 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ari_train = 0.686581\n" + "ari_train = 0.687021\n" ] } ], @@ -780,12 +808,12 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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6MLPxZ+HCrQXPkMHB1N5JfVjzubCyMXPXho01tbdrH2Y2/qxeXVt7u/ZhzefCysbMzGmTa2pv1z7MbPyZPbu29nbtw5rPhZWNmTOOmsfkHSZu0zZ5h4mccdS8jurDzMafRYugp2fbtp6e1N5JfVjzubCyMXPcQbM49/gDmDVtMgJmTZvMuccfUOhB5c3ow8zGn/nzoa8P5swBKf3t6yv2oPJm9GHNp4hoWme9vb0xMDDQtP7MrLUkLY2I3lbHUQTnL7Pxp54c5i1WZmZmZgVxYWVmZmZWEBdWZmZmZgVxYWVmZmZWEBdWZmZmZgVxYWVmZmZWEBdWZmZmZgVxYWVmZmZWkIYKK0nTJF0p6Q+SbpX0wqICs+5w1bI1HHretex95vc59LxruWrZmo7sw7qTc5hV0t8Pc+fChAnpb39/Z/ZhzTWpwfd/FvhRRLxe0o5Az2hvsPHjqmVrOGvxcjZu2gzAmg0bOWvxcoDCbjnTjD6sqzmH2bD6+2HBAhgcTK9XrUqvobhbzjSjD2u+urdYSdoVeAlwEUBEPBYRG4oKzDrf+des2FLwDNm4aTPnX7Oio/qw7uQcZpUsXLi14BkyOJjaO6kPa75GdgXuDawHLpa0TNKFkqaUjyRpgaQBSQPr169voDvrNHdt2FhTe7v2YV1r1Bzm/DV+rV5dW3u79mHN10hhNQk4GPhiRBwEPAKcWT5SRPRFRG9E9E6fPr2B7qzTzJw2uab2du3DutaoOcz5a/yaPbu29nbtw5qvkcLqTuDOiLgxv76SlKTMADjjqHlM3mHiNm2Td5jIGUfN66g+rGs5h9mIFi2CnrIj7np6Unsn9WHNV3dhFRFrgTskDX2DHQncUkhU1hWOO2gW5x5/ALOmTUbArGmTOff4Awo9qLwZfVh3cg6zSubPh74+mDMHpPS3r6/Yg8qb0Yc1nyKi/jdLBwIXAjsCtwGnRcRfRhq/t7c3BgYG6u7PzDqLpKUR0dvqOEZSSw5z/jIbf+rJYQ1dbiEifgu0bdI0M6vEOczMiuYrr5uZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVxIWVmZmZWUFcWJmZmZkVpOHCStJEScskXV1EQGZmzeL8ZWZFK2KL1enArQV8jplZszl/mVmhGiqsJO0JvAq4sJhwzMyaw/nLzMZCo1usPgN8CHhipBEkLZA0IGlg/fr1DXZnZlYY5y8zK1zdhZWkY4F7ImJppfEioi8ieiOid/r06fV2Z2ZWGOcvMxsrjWyxOhR4jaSVwNeAl0q6vJCozMzGlvOXmY2JuguriDgrIvaMiLnACcC1EXFSYZGZmY0R5y8zGyu+jpWZmZlZQSYV8SERsQRYUsRnmZk1k/OXmRXJW6zMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMClLIdazGk6uWreH8a1Zw14aNzJw2mTOOmsdxB81qdVhmVfMyPH7198PChbB6NcyeDYsWwfz5rY7KrDp7XLAH6x5Zt137jCkzWPvBtS2IaHgurGpw1bI1nLV4ORs3bQZgzYaNnLV4OYC/mKwjeBkev/r7YcECGBxMr1etSq/BxZV1huGKqkrtreJdgTU4/5oVW76QhmzctJnzr1nRoojMauNlePxauHBrUTVkcDC1m1lxXFjV4K4NG2tqN2s3XobHr9Wra2s3s/q4sKrBzGmTa2o3azdehsev2bNrazez+riwqsEZR81j8g4Tt2mbvMNEzjhqXosiMquNl+Hxa9Ei6OnZtq2nJ7WbWXFcWNXguINmce7xBzBr2mQEzJo2mXOPP8AH/VrH8DI8fs2fD319MGcOSOlvX58PXLfOMWPKjJraW0UR0bTOent7Y2BgoGn9mVlrSVoaEb2tjqMIzl9m4089OcxbrMzMzMwK4sLKzMzMrCAurMzMzMwK4sLKzMzMrCAurMzMzMwK4sLKzMzMrCAurMzMzMwK4sLKzMzMrCB1F1aS9pJ0naRbJN0s6fQiA6vVVcvWcOh517L3md/n0POu5apla1oZTkO6aVqsNv7fN0+75bD+fpg7FyZMSH/7+1sZTf26ZTqsNntcsAf6mLZ77HHBHq0OrekmNfDex4EPRMRNknYGlkr6SUTcUlBsVbtq2RrOWrycjZs2A7Bmw0bOWrwcoONu1dFN02K18f++6domh/X3w4IFMDiYXq9alV5DZ91yplumw2q37pF1NbV3s7q3WEXE3RFxU37+EHAr0JLsf/41K7Z8GQ3ZuGkz51+zohXhNKSbpsVq4/99c7VTDlu4cGsxMmRwMLV3km6ZDrNGFHKMlaS5wEHAjcMMWyBpQNLA+vXri+huO3dt2FhTezvrpmmx2vh/3zoj5bBm5C+A1atra29X3TIdZo1ouLCSNBX4FvC+iHiwfHhE9EVEb0T0Tp8+vdHuhjVz2uSa2ttZN02L1cb/+9aolMOakb8AZs+urb1ddct0mDWiocJK0g6khNQfEYuLCal2Zxw1j8k7TNymbfIOEznjqHktiqh+3TQtVhv/75uvXXLYokXQ07NtW09Pau8k3TIdZo1o5KxAARcBt0bEp4sLqXbHHTSLc48/gFnTJiNg1rTJnHv8AR15wG83TYvVxv/75mqnHDZ/PvT1wZw5IKW/fX2dd8B3t0yH1W7GlBk1tXczRUR9b5ReDPwcWA48kZs/HBE/GOk9vb29MTAwUFd/ZtZ5JC2NiN5WxzGcWnOY85fZ+FNPDqv7cgsRcQOget9vZtZKzmFmNhZ85XUzMzOzgriwMjMzMyuICyszMzOzgriwMjMzMyuICyszMzOzgriwMjMzMyuICyszMzOzgtR9Hat2c9WyNZx/zQru2rCRmdMmc8ZR83zFaivMR65azhU33sHmCCZKnPiCvTjnuANaHVZdvK60p/5+WLgw3bB49ux0GxhfsdyKMPFjE3liyzVwt5rABDZ/dHMLIqrPHhfswbpH1m3XPmPKDNZ+cG0LIhpeVxRWVy1bw1mLl7NxU1pA1mzYyFmLlwP4C8Ma9pGrlnP5r1Zveb05YsvrTiuuvK60p/5+WLAABgfT61Wr0mtwcWWNG66oqtTeroYrqiq1t0pX7Ao8/5oVW74ohmzctJnzr1nRooism1xx4x01tbczryvtaeHCrUXVkMHB1G5mnaUrCqu7Nmysqd2sFptHuJ/mSO3tzOtKe1q9urZ2M2tfXVFYzZw2uaZ2s1pM1PC3kxupvZ15XWlPs2fX1m5m7asrCqszjprH5B0mbtM2eYeJnHHUvBZFZN3kxBfsVVN7O/O60p4WLYKenm3benpSu5l1lq4orI47aBbnHn8As6ZNRsCsaZM59/gDfDCuFeKc4w7gpENmb9lCNVHipENmd9yB6+B1pV3Nnw99fTBnDkjpb1+fD1y3YkwY4at+pPZ2NWPKjJraW0XRxONEent7Y2BgoGn9mVlrSVoaEb2tjqMIzl9m4089OayzylUzMzOzNubCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgDRVWkl4paYWkP0s6s6igzMyawTnMzIpWd2ElaSLweeBoYD/gREn7FRWYmdlYcg4zs7HQyBar5wN/jojbIuIx4GvAa4sJy8xszDmHmVnhJjXw3lnAHSWv7wReUD6SpAXAgvzyr5J+30Cf7eQpwL2tDqIA3TId4GlpR/NaHUAFo+Yw56+O0C3T0i3TAd01LTXnsEYKq6pERB/QByBpoFtuyNot09It0wGelnYkqaPvWuz81f66ZVq6ZTqg+6al1vc0sitwDbBXyes9c5uZWSdwDjOzwjVSWP0GeKakvSXtCJwAfLeYsMzMxpxzmJkVru5dgRHxuKT3ANcAE4GvRMTNo7ytr97+2lC3TEu3TAd4WtpR205HHTmsbaelDp6W9tMt0wHjfFoUEWMRiJmZmdm44yuvm5mZmRXEhZWZmZlZQZpSWHXLbSMk7SXpOkm3SLpZ0umtjqlRkiZKWibp6lbH0ghJ0yRdKekPkm6V9MJWx1QPSe/Py9bvJV0haadWx1QtSV+RdE/ptZ4k7S7pJ5L+lP/u1soY69UNOcz5q311S/4C5zBoQmHVZbeNeBz4QETsBxwC/J8OnpYhpwO3tjqIAnwW+FFE7AM8hw6cJkmzgPcCvRGxP+mA6hNaG1VNLgFeWdZ2JvDTiHgm8NP8uqN0UQ5z/mpfHZ+/wDlsSDO2WHXNbSMi4u6IuCk/f4i08M9qbVT1k7Qn8CrgwlbH0ghJuwIvAS4CiIjHImJDa6Oq2yRgsqRJQA9wV4vjqVpEXA/cX9b8WuDS/PxS4LimBlWMrshhzl/tqcvyFziHNaWwGu62ER27Mg+RNBc4CLixtZE05DPAh4AnWh1Ig/YG1gMX590CF0qa0uqgahURa4ALgNXA3cADEfHj1kbVsBkRcXd+vhaY0cpg6tR1Ocz5q610Rf4C57AhPni9DpKmAt8C3hcRD7Y6nnpIOha4JyKWtjqWAkwCDga+GBEHAY/QmbucdiP9OtobmAlMkXRSa6MqTqRru/j6Li3m/NV2uiJ/gXPYkGYUVl112whJO5CSUn9ELG51PA04FHiNpJWkXRsvlXR5a0Oq253AnREx9Ov7SlKi6jQvA26PiPURsQlYDLyoxTE1ap2kpwLkv/e0OJ56dE0Oc/5qS92Sv8A5DGhOYdU1t42QJNJ+8Fsj4tOtjqcREXFWROwZEXNJ/5NrI6Ijf1lExFrgDklDdyE/ErilhSHVazVwiKSevKwdSYcexFriu8Ap+fkpwHdaGEu9uiKHOX+1py7KX+AcBjRwS5tq1Xnrm3Z1KHAysFzSb3PbhyPiBy2MyZJ/BPrzF99twGktjqdmEXGjpCuBm0hncC2jg24NIekK4HDgKZLuBD4KnAd8Q9JbgVXAG1sXYX26KIc5f7Wvjs9f4By25XN8SxszMzOzYnT1weuSVkp6WRvEMVvSw/l6OEhaIult+fmpkm5obYTtS9JkSd+T9ICkb+a2cyTdK2lt+byt8DmHSVrRnKjNitFGOWyb9ac0Lklnd/DxTWNO0gxJ10t6SNK/KblY0l8k/bra3CRpvqROP8NuXOjqwqoIki6XdLekByX9caggqkVErI6IqRGxeSxirMdwybC04Gsjryed3vrkiHiDpNnAB4D9ImKPaudtRPw8IuZVGqdajXzZSTpQ0lJJg/nvgRXGfbjssVnSf+ZhhyhdBfh+SeslfXPoAMs8/AylKx8/JOl2SWfUE691D0nPlPRoPUVQketPUSRdIumcsra2KETLLADuBXaJiA8ALwZeDuwZEc+vdt5GRH9EvKKIgCSFpGfU+d4jla4QP6h0Jf85o4x/es5BjyhdVf5Zw4zzlZFiamS5bRUXVqM7F5gbEbsArwHOkfTcFsc0nswB/hgRj+fXs4H7IqLjzi7Lx098B7gc2I10sbnv5Pbt5IJxakRMBfYANgLfzIN3Ix27MJc0jx4CLi7tDnhzHu+VwHskddIVkK14nycdiG/NNQe4JbYedzMHWBkRj7QwprpIegrpTL9/BnYHBoCvVxj/bcBbSRdynQocSyoyS8d5MfD0Ct123nIbEV37AFYCL8vP9wVuB05s4PPmkS569sYRhj+ftKA9CKwDPp3b55KufTEpv14CvC0/PxW4gXRRtb/kGI8u+cyZpLMS7gf+DLy9ZNglwDklrw8nnbZb+t5vkS4+dzvw3tz+SuAxYBPwMPA7YBGwGXg0t30uj7sP8JPc/4qRpj2Puzvpy/2uPC1XlQx7e47//jw9M0uGDdsH8LGyON9BKi6eyK8vGWbeDhtDtfMmDzsb+AbwVVLBcjPpFg0Al+X+N+YYPlTD8vMK0mn6KmlbDbyyiveeQjqoVSMMPxh4qML7/wP4z1avk37U9qCgHEY6c+4bedm+vMJ4x5DOSHsoL6sfzO3l60+rLVj9AAAgAElEQVRpXCOuLyVxLwE25GGvKRm2hJwL8+tTgRtKXo+UGxbkvPBYXg+/N9K6Sbp9zy9y/78DDq8w/XuRCof1wH1szYMTgI+QDl6+J0/rriXvG7YPUo4qjfMdpBy7Ob/+2DDzdqQYqpo3Jf1+Hvh+/p/cCDw9D7uelDMfyTG8qYblaAHwi5LXU/L83meYcSeQLqx7ZIXPm0Q6wP3ZOaZn1LPcttuj5QGM6cTllZ/0pbMaOLZk2NV5JRjucXXZ53wBGMz/+JuAqSP090vg5Px8KnBIfj6XyoXVJlLhMRF4F6koGDqx4Prc/07AgXlle2kedgkjFFZ5oV4K/AuwI/A00hfzUXn4dgsq2ye5KXnFOC2vAAeRfm3sN8L0f5/062U3YAfg73L7S/P7DgaeBPwncH01fZTHyfZJqHzejhRDrfPmUdKXzETSVstflS9XZdM+0rK0ATgzj/N+4Idl77uadP+20Zbla4GzKwx/X2mMZcNESl7vbPU66UdtDwrIYcAuwB9J19/abr0v6+9u4LD8fDfg4Py8fL3bsg5UWl/yOvhn4MN5XXsp6Yt+Xh6+hBEKK0bPDZdQkv/K48qvZ5GKk2Pyev/y/Hr6MNM+kVQU/XvueyfgxXnYW/J0PI2U2xcDl1XTR3mcbF8gbZm3o8RQ67y5j/RjfxLQD3ytpM9tihjSnoBKOewf8nifJV3ItHS+/R543TDzc3bu5/Qc6+2kQnJCyThnAJ8dIaaql9t2e4yHXYGHkbaQvDkittwBPSKOjYhpIzyOLf2AiHg3sHP+rMXAX0foaxPwDElPiYiHI+JXVca4KiK+HOk4oUuBpwIzJO1FOkX6nyLi0Yj4Lem+WG+u4jOfR1qxPx7p3lO3AV+mthtiHkvaZH1xRDweEctIW3neUD5iPr7naNKX918iYlNE/CwPnk86Rf2miPgrcBbwQqXbalTdx2hGiaFUNfPmhoj4Qf6fXEa6MeqIKixL0yLivDzaVOCBsrc+QFq2Kk3XHODv2Hq/qvLhzyYViSMdR3U2KeFfXKkfa1uN5rBPABdFxJ1V9LUJ2E/SLnkduqnKGEdaXw4hLffn5XXtWlJBeGIVn1lEbjgJ+EGO7YmI+Alpr8Ixw4z7fNKW7DMi4pGcc4dOLJpP2gNxW0Q8TMphJyjdD6+WPkZTKYZS1cybb0fEryMdRtFP+mE+rEjHqlbKYf+dR60lh+2Z/74COAA4gvR/fytA/n57Byl3DaeW5batjIfC6p2kTZdLGvmQiNicF/A9SVuVhvNW4FnAHyT9Rum2C9VYW9LPYH46lbSC3R/phqlDVlHdfcrmADMlbRh6kH411nKvtjnAC8o+Yz7peJ9ye+VY/zLMsJk5bgByYrovT0ctfYymUgylqpk3a0ueDwI75STaiIdJv8JK7UL6BV/JyaQvrtvLB+SDPX8InB4RPx9m+HtIhfirclFrnafuHJZPjngZaQtINV5HKghWSfqZpBdW+b6R1peZwB0RUXo/v1pyWKO5YQ7whrLPeDHpx2u5vUg/ch8fZtg2OSw/n0TKGbX0MZpKMZSqZt6U/0+m1hFPuVpy2Mb8918jYkNErAT+i60F52eAj0dEeaFWz3LbVsb8AqFt4J3AP0n694h4/1CjpB+SfgkO5+cRcfQIwyYxwoF2EfEn4ERJE4DjgSslPbn+0LkL2F3SziXF1Wy23k7jEdLdw4eUrlR3kG4t8MwRPjuqaLsD+FlEvLyKWO/IsU6L7e/MfhcpEQCgdIPRJ5Omo5Y+GomhfLxK82Y02807SQ9XGP+TEfFJ0vElH5CkiBj6jGeTjoWo5M2ki9SV9zkH+B/gExFx2TDD30K659hLOvFXn23RSA47nLS7fLUkSF+uEyXtFxHb3TYlIn4DvFbp1jfvIR3fslf5eDW4C9hL0oSS4mo2aRcPjJ7DKuWGanPYZRHx9ipivQOYLWnSMIXNNjmMNA2Pk46lraWPRmIoH6+ovEk+27rS1d7fERH9pBx2Ssn7ppC+D4e7YO4K0rFlpf+T0udHAi+W9K8lbb+UdDrwN9Sw3Lab8bDF6iHSwdovkbTlyykijo6Ss67KHkcDSPobSSdImippoqSjSJsyfzr0OfkU0cPz85MkTc8JZOiLve47r0fEHaQDIs+VtFPe5fNW0lllAL8FjpG0u6Q9SMfZDPk18JCkf1K6FtRESftLel4evg6Ym4tAStqeVvL6auBZkk6WtEN+PE/SvsPEejdpy8kXJO2Wx31JHnwFcJrSpQaeBHwSuDH/gqm6jyrmV6UYSo02b0ZTPp+osCxNzUUVpONJNgPvlfSkvDUJ0vFTw5L0ItKv+2+Wtc/K7/tcRHxpmPfNJ83nl0fa1Wmdq+4cRjpz9Omk3UAHAl8iHYd4FICkuTmHzZW0o9K1knaNdJ+3B2kgf2U3kraWfCivj4cDrybd3w9SDjte6RYozyDvJspGyw3brYfDtF0OvFrSUXk930nS4ZL2ZHu/Jh1jdp6kKXncQ/OwK4D3K93WaCpp3fp6Ln5q6WM0lWIo1Wje3GY+xdbL1oz06M+jfhvYX9LrJO1E2o33vxHxh/IO8t6Xr5P+9zvn+bEgxw5p785z2LpsQlo2vs0oy227Gw+FFXnrxcuBoyV9opa3knb73Uk6w+wC0h3hvwtb9hE/BCzP478SuDlvvfgscEJEbNzuU2tzIqlyv4u0wH00Iv4nD7uMdKDjSuDHlJz2GulYh2NJC+XtpAMbLwR2zaMMfVHfJ2noOIrPAq9XunDdf+StZK8gHXt0F2nT8qdIB6AP52TSMRp/IJ05874cy/+QTs/9FilpPD1/JnX0MZphYyhVxbwZzbnAR5Q2wX+w2sAi4jHgONIWqA2kA2KPy+1I+nDeClHqFGBx2e5ggLeREuPZKrnWVcnwc0hbBX9TMny7Asw6Q705LCIGI2Lt0IO0K+fRiFifR9mLtFtraCv4ycBKSQ+StpTNbzDux0hflkeT1rMvkI4VG/oi/nfSVo11pGMI+0veO1puuIh0PNgGSVfltm3Wzfzj9LWkXf3rSVt6zmCY776cF14NPIN0osCdwJvy4K+Q8u31pJzxKOk2NNTSRxXzq1IMpeM1mjfPBi7N86nq20zl5eZ1pLPI/wK8gJJjUyV9qSzPvIe0zN1FOrnrv0nzkoi4p2zZBLg3IjZWsdy2Nd/SpgGSTgL+NiLOanUsZma1kvQRYH1E/FerYzHrFi6szMzMzAoy6qZKpUvN3yPp9yVtuyvdTuNP+e9uYxummVl9nMPMrJmq2Qd8CenYoVJnAj/NZ1X9NL82M2tHl+AcZmZNUtWuQKULOV4dEfvn1ytIl+y/W+mijEuizW7QaWY2xDnMzJql3utYzcintkM6G2HEi05KWkA6xZIpU6Y8d5999qmzSzPrNEuXLr03Iqa3Oo5hVJXDnL/Mxrd6cljDFwiNiJA04maviOgjXZOC3t7eGBgYaLRLM+sQklaNPlZrVcphzl9m41s9Oaze61ity5vPh+7Pdk+dn2Nm1grOYWY2JuotrL7L1svanwJ8p5hwzMyawjnMzMZENZdbuIJ0xdR5ku6U9FbSfcteLulPpBslbncfMzOzduAcZmbNNOoxVhFx4giDjiw4FjOzwjmHmVkzjYt7BZqZmZk1gwsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMriAsrMzMzs4K4sDIzMzMryKRG3izp/cDbgACWA6dFxKNFBGadb48L9mDdI+u2a58xZQZrP7i2BRGZbcs5zEbi/GX1qnuLlaRZwHuB3ojYH5gInFBUYNb5hktKldrNmsk5zCpx/rJ6NborcBIwWdIkoAe4q/GQzMyaxjnMzApVd2EVEWuAC4DVwN3AAxHx4/LxJC2QNCBpYP369fVHamZWoGpymPOXmdWqkV2BuwGvBfYGZgJTJJ1UPl5E9EVEb0T0Tp8+vf5IzcwKVE0Oc/4ys1o1sivwZcDtEbE+IjYBi4EXFROWmdmYcw4zs8I1UlitBg6R1CNJwJHArcWEZd1gxpQZNbWbNZlzmI3I+cvqVfflFiLiRklXAjcBjwPLgL6iArPO51OSrZ05h1klzl9Wr4auYxURHwU+WlAsZmZN5RxmZkXzldfNzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCtLQdazMKtnjgj1Y98i67dpnTJlR2MX3mtGHmY0/zl9WL2+xsjEzXMKo1N6ufZjZ+OP8ZfVyYWVmZmZWEBdWZmZmZgVxYWVmZmZWEBdWZmZmZgVxYWVjZsaUGTW1t2sfZjb+OH9ZvXy5BRszzThd2Kckm9lYcP6yenmLlZmZmVlBXFiZmZmZFcSFlZmZmVlBXFiZmZmZFcSFlZmZmVlBXFiZmZmZFcSFlZmZmVlBXFiZmZmZFaShC4RKmgZcCOwPBPCWiPhlEYFZ59vjgj1Y98i67dpnTJlR2IXxmtGHdS/nMBuJ85fVq9Err38W+FFEvF7SjkBPATFZlxguYVRqb9c+rKs5h9mwnL+sXnUXVpJ2BV4CnAoQEY8BjxUTlpnZ2HIOM7Ox0MgxVnsD64GLJS2TdKGkKeUjSVogaUDSwPr16xvozsysUKPmMOcvM6tVI4XVJOBg4IsRcRDwCHBm+UgR0RcRvRHRO3369Aa6MzMr1Kg5zPnLzGrVSGF1J3BnRNyYX19JSlJmZp3AOczMCld3YRURa4E7JM3LTUcCtxQSlXWFGVNm1NTern1Yd3IOs0qcv6xejZ4V+I9Afz6b5jbgtMZDsm7RjNOFfUqyNcg5zIbl/GX1aqiwiojfAr0FxWJm1lTOYWZWNF953czMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgLqzMzMzMCuLCyszMzKwgDRdWkiZKWibp6iICMjNrFucvMytaEVusTgduLeBzzMyazfnLzArVUGElaU/gVcCFxYRjZtYczl9mNhYa3WL1GeBDwBMjjSBpgaQBSQPr169vsDszs8I4f5lZ4eourCQdC9wTEUsrjRcRfRHRGxG906dPr7c7M7PCOH+Z2VhpZIvVocBrJK0Evga8VNLlhURlZja2nL/MbEzUXVhFxFkRsWdEzAVOAK6NiJMKi8zMbIw4f5nZWPF1rMzMzMwKMqmID4mIJcCSIj7LzKyZnL/MrEjeYmVmZmZWEBdWZmZmZgVxYWVmZmZWEBdWZmZmZgVxYWVmZmZWEBdWZmZmZgVxYVWP666DuXPTXzOzTuL8ZTamXFjV6rrr4NhjYdWq9NfJyTpMf3/6Xp0wIf3t7291RNY0zl/W4Tohf7mwqsVQUhocTK8HB52crKP098OCBel7NSL9XbCgPZOTFcz5yzpcp+QvF1bVKk9KQ5ycrIMsXDj8IrxwYWvisSZx/rIu0Cn5y4VVtU47bfv/6JDBwTTcrM2tXl1bu3UJ5y/rAp2Sv1xYVevii6GnZ/hhPT1puFmbmz27tnbrEs5f1gU6JX+5sKrWEUfA1Vdvn5x6elL7EUe0Ji6zGixaNPwivGhRa+KxJnH+si7QKfnLhVUtypOTk5J1mPnzoa8P5swBKf3t60vt1uWcv6zDdUr+UkQ0rbPe3t4YGBhoWn9j5rrr0jEJF1/spGRWgaSlEdHb6jiK4PxlNv7Uk8MmjVUwXe2II2DlylZHYWZWO+cvszHlXYFmZmZmBXFhZWZmZlYQF1ZmZmZmBXFhZWZmZlYQF1ZmZmZmBXFhZWZmZlaQ7iqsrrsO5s7tjhuKdtO0mFl1umW975bpMKtD3YWVpL0kXSfpFkk3Szq9yMBqNnT39lWrOv9u7d00LVaT/v70fTRhQvrb39/qiLqXc9gY6ZbpsJo5f2URUdcDeCpwcH6+M/BHYL9K73nuc58bY+LaayN6eiJg66OnJ7V3mm6aFqvJ5ZcP/6+//PJWR1Y/YCDqzDFj/ag1h41Z/oronvW+W6bDataN+SuivhxW9xariLg7Im7Kzx8CbgVm1ft5dRv6dTQ4uG374GDn/Vrqpmmxmi1cOPy/fuHC1sTT7ZzDCtYt02F1cf7aqpB7BUqaC1wP7B8RD5YNWwAsAJg9e/ZzV61a1XB/25g7N21yHsmcOZ1z+4Zumhar2YQJ6XdeOQmeeKL58RShU+4VOFIOG/P8Bd2z3nfLdFhdujF/QX05rOGD1yVNBb4FvK+8qAKIiL6I6I2I3unTpzfa3fYuvnjr3drL9fSk4Z2im6bFajZ7dm3tVoxKOWzM8xd0z3rfLdNhdXH+2qqhwkrSDqSE1B8Ri4sJqUZHHAFXX739Ct3Tk9o76e7t3TQtVrNFi4b/1y9a1Jp4xgPnsAJ1y3RYXZy/tmrkrEABFwG3RsSniwupDuUrdCevyN00LVaT+fOhry/tMZHS376+1G7Fcw4bA90yHVYz56+t6j7GStKLgZ8Dy4GhPagfjogfjPSe3t7eGBgYqKu/qlx3HZx2Wtrk3OkrcjdNi41b7XyMVa05bMzzF3TPet8t02HjXj05rJCD16vVlMRkZm2jnQurWjl/mY0/LTl43czMzMwSF1ZmZmZmBXFhZWZmZlYQF1ZmZmZmBXFhZWZmZlYQF1ZmZmZmBemuwuq669L9qnyzTzPrRM5hZh2vewqroTurr1rlO6lb4d79bpg0KV1ReNKk9LpT9fen7+4JE9Lf/v5WR2SAc5iNmck/+xlasmS7x+Sf/azVodWsE/JXdxRWQwlpcDC9Hhx0YrLCvPvd8MUvwubN6fXmzel1JxZX/f2wYEH67o5IfxcsaM/kNK44h9kYevrkyTW1t6tOyV+dX1iVJ6QhTkxWkL6+2trb2cKFw68qCxe2Jh7DOczG3OX77jts+3+P0N6uOiV/dX5hddpp28/pIYODabhZA4a2VFXb3s5Wr66t3ZrAOczG2IE778zfDt0YO/vbnh6evfPOLYqoPp2Svzq/sLr44q13Ui/X05OGmzVg4sTa2tvZ7Nm1tVsTOIdZE5Rvteq0rVXQOfmr8wurI46Aq6/ePjH19KR231ndGrRgQW3t7WzRouFXlUWLWhOP4RxmTVG61aoTt1ZB5+Svzi+sYPvE5IRkBfrCF+Bd79q6hWrixPT6C19obVz1mD8/HRs2Z046w3HOnPR6/vxWRzbOOYdZE1y+777sOnFiR26tgs7JX4qIpnXW29sbAwMDY9fBddel4xEuvtgJyawNSFoaEb2tjqMIY56/wDnMrM3Uk8MmjVUwLXHEEbByZaujMDOrj3OYWcfrjl2BZmZmZm3AhZWZmZlZQVxYmZmZmRXEhZWZmZlZQVxYmZmZmRXEhZWZmZlZQVxYmZmZmRWkocJK0islrZD0Z0lnFhWUmVkzOIeZWdHqLqwkTQQ+DxwN7AecKGm/ogIzMxtLzmFmNhYa2WL1fODPEXFbRDwGfA14bTFhmZmNOecwMytcI7e0mQXcUfL6TuAF5SNJWgAsyC//Kun3DfTZTp4C3NvqIArQLdMBnpZ2NK/VAVQwag5z/uoI3TIt3TId0F3TUnMOG/N7BUZEH9AHIGmgW27I2i3T0i3TAZ6WdiRpjO9aPLacv9pft0xLt0wHdN+01PqeRnYFrgH2Knm9Z24zM+sEzmFmVrhGCqvfAM+UtLekHYETgO8WE5aZ2ZhzDjOzwtW9KzAiHpf0HuAaYCLwlYi4eZS39dXbXxvqlmnplukAT0s7atvpqCOHte201MHT0n66ZTpgnE+LImIsAjEzMzMbd3zldTMzM7OCuLAyMzMzK0hTCqtuuW2EpL0kXSfpFkk3Szq91TE1StJEScskXd3qWBohaZqkKyX9QdKtkl7Y6pjqIen9edn6vaQrJO3U6piqJekrku4pvdaTpN0l/UTSn/Lf3VoZY726IYc5f7Wvbslf4BwGTSisuuy2EY8DH4iI/YBDgP/TwdMy5HTg1lYHUYDPAj+KiH2A59CB0yRpFvBeoDci9icdUH1Ca6OqySXAK8vazgR+GhHPBH6aX3eULsphzl/tq+PzFziHDWnGFquuuW1ERNwdETfl5w+RFv5ZrY2qfpL2BF4FXNjqWBohaVfgJcBFABHxWERsaG1UdZsETJY0CegB7mpxPFWLiOuB+8uaXwtcmp9fChzX1KCK0RU5zPmrPXVZ/gLnsKYUVsPdNqJjV+YhkuYCBwE3tjaShnwG+BDwRKsDadDewHrg4rxb4EJJU1odVK0iYg1wAbAauBt4ICJ+3NqoGjYjIu7Oz9cCM1oZTJ26Loc5f7WVrshf4Bw2xAev10HSVOBbwPsi4sFWx1MPSccC90TE0lbHUoBJwMHAFyPiIOAROnOX026kX0d7AzOBKZJOam1UxYl0bRdf36XFnL/aTlfkL3AOG9KMwqqrbhshaQdSUuqPiMWtjqcBhwKvkbSStGvjpZIub21IdbsTuDMihn59X0lKVJ3mZcDtEbE+IjYBi4EXtTimRq2T9FSA/PeeFsdTj67JYc5fbalb8hc4hwHNKay65rYRkkTaD35rRHy61fE0IiLOiog9I2Iu6X9ybUR05C+LiFgL3CFp6C7kRwK3tDCkeq0GDpHUk5e1I+nQg1hLfBc4JT8/BfhOC2OpV1fkMOev9tRF+Qucw4AGbmlTrTpvfdOuDgVOBpZL+m1u+3BE/KCFMVnyj0B//uK7DTitxfHULCJulHQlcBPpDK5ldNCtISRdARwOPEXSncBHgfOAb0h6K7AKeGPrIqxPF+Uw56/21fH5C5zDtnyOb2ljZmZmVoyuPnhd0kpJL2uDOA6TtKLk9Za4JJ3dwccGjDlJMyRdL+khSf+m5GJJf5H06/J5W+Fz5kvq9LNTbJxplxwGIOlhSU/Lzy+RdE5+fnj+dW/DKM9Zue1dktblefrk0nlb4XNm5/EmNidyq1dXF1ZFkLRE0qN5gX64mi/xchHx84iYN/qYzVOaGEva2iaJl1gA3AvsEhEfAF4MvBzYMyKeX+28jYj+iHhFEQFJCknPqPO9RypdXXlQ6SrYcyqMu1LSxpJl78clw06VtLlk2MOSDq/mvTa+SJor6Qf5i32tpM8pXWOoJhExNSJuG4sY65HXgRvK2rbLa21gm5yVTyD4NPCKPE/vq2beRsTqPN7mRgPK32tvq/O9c3PuGsy5bMTvDEn/KukOSQ9KWiXpwyOM9+acV99W0iZJn5J0X358SpLqibnZXFhV5z15gZ7abgXSODAHuCW27rOeA6yMiEdaGFNdJD2FdJbMPwO7AwPA10d526tLlr3ywvCXJcOmRsSSGt5r48cXSGcyPRU4EPg74N0tjWh8Kc9ZM4CdgE48Tg/gCtKxU08GFgJXSpo+wrgXAftExC6kswPnSzq+dASlSzR8mO3nxwLSxTifAzwbeDXwjqImYiyNm8JK0r6Sbpd04hj2cYzSfbgekrRG0gdz+2ibyneU9NX8vpsl9ZbFvUTShjzsNSXDtvnVUf4LTtI+Svc2ul/pPmdvzO0LgPnAh/LWjO9JugyYDXwvt30oj3uIpF/k/n9XulVkmOnfS9JiSevzL4zP5fYJkj6Sf7Hck6d115L3DduHpEtIZ2EMxfkO0lWWX5hff6x83laIoap5M9SvpM9L+n7+n9wo6el52PV5tN/lGN5U4f9a7njg5oj4ZkQ8CpwNPEfSPjV8ho1TDeSwvYFvRMSj+Qy0HwF/O0Ifz5D0M0kPSLpX0tdLhlXcUivpA3n9vlvSaSXtu+Z1fn3OAR+RNCEP2+ZQCKWtIaG8RS2/96L8mWsknaN0f8B9gS+xNRdsGC6v5c+YKelbuf/bJb23wjRMVjrkYFWeBzdImpyHvSbn4A059+5b8r5h+1A64Lk0Z10BDO312CDp2vJ5O1IM1c6bPOzU/L4LlLZU3i7p6DxsEXAY8Lkc0+dGmh/DzJ9nkS4F8dGI2BgR3wKWA68bbvyIWFH2I/gJoHwZOhf4D9KeiVKnAP8WEXfmC4/+G3BqtbG2VER07QNYSbquxsGk00CPLRl2NbBhhMfVJeMtIV0V917g/wKHV+jvbuCw/Hw34OD8/HDSdUq2iSs/Pxt4FDiGdMbRucCv8rAdgD+TqvkdgZcCDwHzSmJ7W8nnngrckJ9PIV0t+jTS2Z8H5WnYLw+/BDhnuPlV8noWcF+ObQJpc/Z9wPRhpn0i8Dvg33PfOwEvzsPekqfjacBU0laby6rpozzO0mksn7ejxFDrvLmPdCuTSUA/8LWSPgN4Rsnr2Yy8LG0A/iGP91nSRQBL59vvgddVWH7XkZa/HwPPKZsPj+S4/0jaCjapmvf60TkPislh7wC+Srq9yKy8zP39CP1dQdoKMaF0/cnDtiz3petlXgcfBz5OylnHAIPAbnn4V0mnqO8MzM3L61vzsLOBy0v6mJv7mZRffxv4r7zO/g3wa+AdediplOSC8rjy6wnAUuBfSDn0aaSz7o4aYfo/T8qrs0j55EXAk4Bn5fXt5XkaP0TKaTuO1kd5nOXTOMy8HSmGWufNJuDt+TPeRbq1zNAJa0so+e7Ibf/LyMvTF/I4f0+6XEfp+z4H/GeFZfhM4OEc+22kXaJDw55P2nI/oTwm4AHgBSWve4GHWr1OVvMYD1usDiNdh+LNEbHlDugRcWxETBvhcWzJ+/+JtKLMIp02+r2hrRfD2ATsJ2mXiPhL5PtyVaerxccAABrxSURBVOGGiPhBpH3nl5E2fUK6UepU4LxI94+6lpRMq/nFeixp8/PFEfF4RCwjXRjwDVXGBHAS8IMc2xMR8RPSSnDMMOM+n3Sl3TMi4pFIv46HthDNBz4d6V5rDwNnASfkX1619DGaSjGUqmbefDsifh0Rj5MKqwNH6jTSsQ8jLUvTIuK/86hTScmi1AOkL5zhzCcl0znAdcA1kqblYdcD+5MS6utIy8QZVb7XOkujOex60haqB0kXoxwArhqhr02kZWZmhfVnpPd9PCI2Rbp8w8PAvLwF5QTgrIh4KCJWkrY8nDzaB0qaQcoD78vr8z2kH0213NT3eaQfaR/POfQ24MvDfUbeivYW4PSIWBMRmyPiFxHxV+BNwPcj4ieRLnx5ATCZVPRU3UcV01wphtLxqpk3qyLiy/l75VLSruARb8cSEc+usDwN7TquNYcREefl4QeTvt8eyNMwkbSb+j0RMdxticr7egCYKrX/cVbjobB6J/CL2P74k6pExI05Ifw1Ii4lbbUa6Uv/dXnYqrw5/YVVdrO25PkgsFMuOmYCd5QtdKuo7j5lc4AX5M3WGyRtIH3Z7lFlTEOf8Yayz3gxaQUttxdpRX58mGEzc9yl0zCJtJLX0sdoKsVQqpp5U/4/mVpHPOUeBnYpa9uFtBVyOxHxfyNtbh+MiHNJvxwPy8Nui4jbczG6nLS14PXVvNc6Tt05LH9R/4i0lXgK8BTS1vRPjfCWDwH6/9u7/yi5yvqO459vdklgN7Bgk5PlR5Kl1ipJDoJdFEgOELEtHBPR1nKowWqg3dZSBNRafpSTcCiWnoOitfVHDhI4hxXxIK02VWsPLlIqxWzYgAlosbBJID9YfphAVhPjfvvHcyc7meyvmfvM3Jk779c5e2bnzp293zs7873fee5zn0fSj5LTXpdNcVMvl3zuCp+ZWQotPKWf/6nmsCMk7Sj6nH5Z4cvEVM2XdELJZ/16jV1gzFJopfu/MR47JIclOXlbsh/lbGMyE8VQbCqvzcEc5u7Dya9p81hZOaxo+558gf2FpJuSxX8p6Ul3/58pbusYSa+7e92PEdUshdU8M7u9eKGZfccOvaKq+Oc7E/w9V0g8hz/gvt7dL1J4c/+rpK+njH27pLmF/giJeRqdTmOvQvN+QXFhsE3SD0q+dcx0948U7cdhu1Byf5vCKbviv9GefAMptU3hdR7raqPtComgeB8OKJyqKmcbk5kohtL1JnptymKjl0GP97MiWXWzRlsjZWGi1Tdq6p1Yx33vTfLYVB5H/UqTw96g8Hn7p+TL4cuS1mqcL4fuvtPd/8zdT1A4hfgFq/AK2MRLGm0FKygnh+2TNKvoc3qMuxf6h001hz1X8lk/2t3H2v+XFLpljHVG4pAclrSazE32o5xtTGaiGEr3a6LXZjKHvXZJIT3e++lLyWqbJf2mmRW3UL1VU89hrRrdt/Mlvc/Clao7FVr/Pl3U5+uQfFnmdjLVDIXVa5IukHSOmR08WLv7hX7oFVXFP4VOfsea2e+b2ZFm1pocIM9R+AZY3NGyy8ymWxgrqSNpKt6j9LOuP6bwze+TZnaEhU7dyxXmxpKkjZL+wML0Ab8l6fKi566T9Ntm9sHkuUeY2Rk22uFyl8IpzmKly+6RtDx5DVqS1+E8MztpjFh/pNDH7FYza0/WXZw8dq+kayxMCTJT0qck3Zd8wy1nG5OZKIZik702kznkdfLRy6DH++lNVv0XSYvM7A/N7EiFPhlPuvtPSjeQFGuLk/fVkWb21wrfZv87efxCC6cDZKHz+41KplqY7LloOBXnMHd/SdJzkj6S5LBjFToFP1n4OxaG5vhw8vsfFX32XlU4AFecx5LTUF+XdIuZHW1heJGPKXzupZDDzknesx0K3QQKz92h0D/w02Z2jIWLYN5oZucmq+ySdJKF0cpVtKw4h/1I0mtm9jcWOoC3mNkiMztjjFhHJN0p6TMWOqO3mNlZZjYj2Yd3Wxgu5QhJH1cobH5Yzjam8HpNFEPxepO9NpM5LP+7+8IJ3k9/kazzvwr/s1VJbnmfwhV73yjdQBLTn5vZcRa8XdIVkh5MVvmwpFMUulmcpnCK+iaFPn5S6Jv3MTM70cxOUHjN75ri/mWqGQorufvPFTodXmhmN5fx1CMk/Z1GO69fKem9yZtLSk49afTb1wclDZrZHoVvmSuUgrvvVyikLky2/wWFfhaFA/HtkvYrfEjuVugLVHjua5J+T+Gc+3aFZuF/UOgEKYXLYBdYaEYu9Lf4e0l/myz7hLtvU5ip/PrkNdim0I/nsPdNkkCXK1zxsVWhL0fhirk7Fc6tP6yQ5H+p8FqqnG1M4fWaKIbi9SZ7bSazWtLdyes05Sla3H1I4XTxLQoHrXeoqE+EmX2p6Jvh0ZK+mKz3gsKB9cKkxUEK3/aeNLO9kr6tcKrnU1N8LhpMihwmhatRL1D4fP1MoQXpGklKipLfkFQ4HXOGpMfM7HWFfl1Xefqxq65UaJl6VtIjkr6qkBPkoU/lfQqF3gaFLz3F/kShQ/hTCu/n+zXaTeD7Ci0YO82scEXZIXktyQnLFA7czynk0TskdWhsn1C4ym29pFcU8sI0d/+pQn/Qzyd/Y7nCcCb7K9jGZMaMYYz1JnptJvM5Se+3cMXgP5YZ3yUKHclfVZju5f1JbisMxFzcqvQ+hdOarykU059PfuTuP09aSHd6uFp1v6Q97l7oV/VlSf+m8FpskvTvybK6x5Q2KZjZ30oacveG+GcDQDEzWyLpCnev2jA0QLOhsAIAAIhk0tMtZnanhUHfNhUte4OFwRWfSW6Pq26YAFAZchiAWppKP5a7FM7PF7tW0oPu/iaFjmjXRo4LAGK5S+QwADUypVOBZtalMJLvouT+TxVGIN9hZsdLesiZQw9AnSKHAaiVsmc4T8xJLveUwhVV4w6EZmH+ph5Jam9v/523vIVp0YBmsWHDhpfcfbwJWrM0pRxG/gKaWyU5rNLC6iB3dzMbt9nL3dcoTAWj7u5u7+/vT7tJAA3CzLZMvla2Jsph5C+guVWSwyodx2pX0nyu5PbFCv8OAGSBHAagKiotrL6lMHqvkttvxgkHAGqCHAagKqYy3MK9kh5VmKn8eTO7XGG01d81s2ckvSu5DwB1hxwGoJYm7WM1wYi850eOBQCiI4cBqKWmmCsQAACgFiisAAAAIqGwAgAAiITCCgAAIBIKKwAAgEgorAAAACKhsAIAAIiEwgoAACASCisAAIBIKKwAAAAiobACAACIhMIKAAAgEgorAACASCisAAAAIqGwAgAAiITCCgAAIBIKKwAAgEgorAAAACKhsAIAAIiEwgoAACASCisAAIBIKKwAAAAiobACAACIpDXNk83sGkl/Kskl/VjSSnf/ZYzA0Pg6b+vUrr27Dls+p32Odn5iZwYRAYcih2Ei7r/Wtm23a+vWWzVv3nWaO/dqmbVkHRbqXMUtVmZ2oqSPSup290WSWiRdEiswNL6xiqqJlgO1RA7DRIaHn1F/f7cGB1frwIGXNTi4Shs2nKHh4WeyDg11Lu2pwFZJR5lZq6Q2SdvThwQANUMOw5gGBhZr794nNTKyV5I0MrJXr7/+hAYGFmccGepdxYWVu78g6TZJWyXtkLTb3b9Xup6Z9ZhZv5n1Dw0NVR4pAEQ0lRxG/mpe7e0LJY2ULB1Re/uiLMJBA0lzKvA4SRdJOlnSCZLazezS0vXcfY27d7t79+zZsyuPFAAimkoOI381r87Oy9XSMvOQZS0tM9XZeVlGEaFRpDkV+C5Jz7n7kLv/StIDks6OExYAVB05DOOaNWu5whniUWatmjVreUYRoVGkuSpwq6QzzaxN0i8knS+pP0pUyIU57XPGvSoQqAPkMIyrtbVDS5a8mnUYaEAVF1bu/piZ3S/pcUkHJA1IWhMrMDQ+hlRAPSOHAaiGVONYufsqSasixQIANUUOAxAbI68DAABEQmEFAAAQCYUVAABAJBRWAAAAkVBYAQAAREJhBQAAEAmFFQAAQCSpxrECJtJ5W+e4I6/HGjy0FtsA0Jzcf61t227X1q23at686zR37tUya4n298lf+USLFapmrIQx0fJ63QaA5jM8/Iz6+7s1OLhaBw68rMHBVdqw4QwNDz8TbRvkr3yisAIAoMTAwGLt3fukRkb2SpJGRvbq9def0MDA4owjQ72jsAIAoER7+0JJIyVLR9TeviiLcNBAKKwAACjR2Xm5WlpmHrKspWWmOjsvyygiNAoKKwAASsyatVxmh17fZdaqWbOWZxQRGgVXBaJq5rTPGfeKl0baBoDm09raoSVLXq3qNshf+URhhaqpxeXCXJIMoFGRv/KJU4EAAACRUFgBAABEQmEFAAAQCYUVAABAJBRWAAAAkVBYAQAAREJhBQAAEAmFFQAAQCSpBgg1s2Ml3SFpkSSXdJm7PxojMDS+zts6xx1VONbAeLXYBvKLHIbxkL9QqbQjr39O0nfd/f1mNl1SW4SYkBNjJYyJltfrNpBr5DCMifyFSlVcWJlZh6RzJH1Yktx9v6T9ccICgOoihwGohjR9rE6WNCRprZkNmNkdZtZeupKZ9ZhZv5n1Dw0NpdgcAEQ1aQ4jfwEoV5rCqlXS2yR90d1Pl7RX0rWlK7n7Gnfvdvfu2bNnp9gcAEQ1aQ4jfwEoV5rC6nlJz7v7Y8n9+xWSFAA0AnIYgOgqLqzcfaekbWb25mTR+ZKeihIVcmFO+5yyltfrNpBP5DBMhPyFSqW9KvBKSb3J1TTPSlqZPiTkRS0uF+aSZKREDsOYyF+oVKrCyt03SuqOFAsA1BQ5DEBsjLwOAAAQCYUVAABAJBRWAAAAkVBYAQAAREJhBQAAEAmFFQAAQCQUVgAAAJFQWAEAAERCYQUAABAJhRUAAEAkFFYAAACRUFgBAABEQmEFAAAQCYUVAABAJBRWAAAAkVBYAQAAREJhBQAAEAmFFQAAQCQUVgAAAJFQWAEAAERCYQUAABAJhRUAAEAkFFYAAACRpC6szKzFzAbMbF2MgACgVshfAGKL0WJ1laSnI/wdAKg18heAqFIVVmZ2kqR3S7ojTjgAUBvkLwDVkLbF6rOSPilpZLwVzKzHzPrNrH9oaCjl5gAgGvIXgOgqLqzMbJmkF919w0Trufsad+929+7Zs2dXujkAiIb8BaBa0rRYLZb0HjMblPQ1Se80s3uiRAUA1UX+AlAVFRdW7n6du5/k7l2SLpH0fXe/NFpkAFAl5C8A1cI4VgAAAJG0xvgj7v6QpIdi/C0AqCXyF4CYaLECAACIhMIKAAAgEgorAACASCisAAAAIqGwAgAAiITCCgAAIBIKK6AZ9fVJXV3hFgAQDYVVmXp7w/Fo2rRw29ubdURAmfr6pGXLpC1bwi3FVdMgfyEvVq/OOoLxUViVobdX6ukJxyP3cNvTQ3JCAykUVcPD4f7wMMVVkyB/IU9uuinrCMZHYVWGG24YPR4VDA+H5UDdKy2qCiiumgL5C6gNCqsybN1a3nKgrqxcefiRtWB4ODyO3CJ/odGtXi2ZhR9p9Pd6Oy1IYVWGefPKWw7UlbVrpba2sR9rawuPI7fIX2h0q1eH09ju4X7hdwqrBnbLLYcfl9rawnKg7i1dKq1bN/abeN268Dhyi/wF1AaFVRlWrJDWrJHmzw/Nj/Pnh/srVmQdGTBFpcUVRVXTIH8hT1atyjqC8ZkX2tRqoLu72/v7+2u2PQDj6OsLfarWrq1qUWVmG9y9u2obqCHyF9B8KslhrdUKBkAdW7pUGhzMOgoAyB1OBQIAAERCYQUAABAJhRUAAEAkFFYAAACRUFgBAABEQmEFAAAQCYUVUG/6+qSuLiZFBoAGVHFhZWZzzazPzJ4ys81mdlXMwCqxb8c+DZw7oH0792UdSiq9veG4Om1auO3tzToi1Exfn7RsmbRlS7iluKqaesphp69fL3voocN+Tl+/PquQKkb+am55OQ6nkabF6oCkj7v7AklnSrrCzBbECasygzcPavcju7Xl5i1ZhpFKb6/U0xOOq+7htqeH5NQUCkXV8HC4PzxMcVVddZPDzjrmGE03O2TZdDOd3dGRRTgVI38hD8fhtCourNx9h7s/nvz+mqSnJZ0YK7By7duxT7vW7pJGpJ1rdzZstXzDDaPH1YLh4bAcOVZaVBVQXFVNPeWwG7u6NK2ksGox043z52cRTsXIX80tL8fhtKL0sTKzLkmnS3psjMd6zKzfzPqHhoZibG5MgzcPykfCvIf+a2/Yannr1vKWIydWrjz8iFQwPBweR9WMl8Nqlb+OnzFDK+fMOdhqNd1MKzs71TljRtW2WQ3kr+aWl+NwWqkLKzObKekbkq529z2lj7v7Gnfvdvfu2bNnp93cmApVsu9P/qH7vWGr5XnzyluOnFi7VmprG/uxtrbwOKpiohxWi/xVUNxq1YitVRL5q5nl6TicVqrCysyOUEhIve7+QJyQyldcJRc0arV8yy2HH1/b2sJy5NjSpdK6dWP/89etC48junrJYdJoq9U0qSFbqyTyVzPL03E4rTRXBZqkr0h62t0/Ey+k8u15dM/BKrnA97t2/3B3RhFVbsUKac0aaf58ySzcrlkTliPnSosriqqqqqccVnBjV5eWdHQ0ZGuVRP5qZnk6Dqdl7j75WmM90WyJpP+S9GNJI8ni69392+M9p7u72/v7+yvaHtA0+vpCn6q1axu+qDKzDe7enXUcYyk3h5G/gOZTSQ5rrXRj7v6IJJt0RQDlWbpUGhzMOorcI4cBqAZGXgcAAIiEwgoAACASCisAAIBIKKwAAAAiobACAACIhMIKAAAgEgoroBn19UldXUzuDKDx1Hn+qngcq3q0b8c+PXXJU1pw3wLN6Gy86SBQn476wQ/0yzEG0j3STL8499wMIkqpr09atixM7rxsGaO714HT16/Xxr17D1t+Wnu7Bs44I4OIkEcbN27Ueeedp4cfflinnnpq1uFUpgHyV65arAZvHtTuR3Y35dxEqJ43HnVUWcvrWnFSkkaTU51+82sWZx1zjKbboWOVTjfT2R0dGUWEPLr00ku1e/dufeADH8g6lMo0SP7KTWFVmFlbI2raGbVRHfeccsqYy786zvK6VZqUCuo0OTWTG7u6NK2ksGoxa9g5A1FfzExmps2bN0uSNm/efHBZw2ig/JWbwqp4Zu1mnVEb1XHa0UdrYWFi5MTCtjadevTRGUVUoZUrD09KBcPD4XFk4vgZM7RyzpyDrVbTzbSys1OdM+jSgPQGBgY0v6RI7+rq0hNPPJFRRBVooPyVi8Kq0FpVmFnb9zutVoiqtNWq4VqrpDCpc0mBeFBbW3gcmSlutaK1CjGddtppam9vP2RZe3t7Y/WzaqD8lYvCqri1qoBWK8RU3GrVkK1VUujguW7d4cmpra0uO4A2m0Kr1TSJ1ipE9+qrr2rhwoW67777tHDhQr3yyitZh1SeBspfuSis9jy652BrVYHvd+3+4e6MIkIe3XPKKepoaWnM1qqC0uRUh0mpmd3Y1aUlHR20ViG67du3a9OmTbr44ou1adMmbd++PeuQytcg+ct8jMvIq6W7u9v7+/trtj0A4+jrC30S1q6talIysw3u3l21DdQQ+QuoEzXKX1JlOSxX41gBmKKlS6XBwayjAIDy1Xn+ysWpQAAAgHpAYQUAABAJhRUAAEAkFFYAAACRUFgBAABEQmEFAAAQCYUVAABAJKkKKzO7wMx+amY/M7NrYwUFALVADgMQW8WFlZm1SPpnSRdKWiDpj81sQazAAKCayGEAqiFNi9XbJf3M3Z919/2SvibpojhhAUDVkcMARJdmSpsTJW0ruv+8pHeUrmRmPZJ6krv7zGxTim3Wk1mSXso6iAjysh8S+1KP3px1ABOYNIeRvxpCXvYlL/sh5Wtfys5hVZ8r0N3XSFojSWbWn5cJWfOyL3nZD4l9qUdm1tCzFpO/6l9e9iUv+yHlb1/KfU6aU4EvSJpbdP+kZBkANAJyGIDo0hRW6yW9ycxONrPpki6R9K04YQFA1ZHDAERX8alAdz9gZn8l6T8ktUi60903T/K0NZVurw7lZV/ysh8S+1KP6nY/KshhdbsvFWBf6k9e9kNq8n0xd69GIAAAAE2HkdcBAAAiobACAACIpCaFVV6mjTCzuWbWZ2ZPmdlmM7sq65jSMrMWMxsws3VZx5KGmR1rZveb2U/M7GkzOyvrmCphZtck761NZnavmR2ZdUxTZWZ3mtmLxWM9mdkbzOw/zeyZ5Pa4LGOsVB5yGPmrfuUlf0nkMKkGhVXOpo04IOnj7r5A0pmSrmjgfSm4StLTWQcRweckfdfd3yLprWrAfTKzEyV9VFK3uy9S6FB9SbZRleUuSReULLtW0oPu/iZJDyb3G0qOchj5q341fP6SyGEFtWixys20Ee6+w90fT35/TeHNf2K2UVXOzE6S9G5Jd2QdSxpm1iHpHElfkSR33+/uP882qoq1SjrKzFoltUnannE8U+buD0t6pWTxRZLuTn6/W9J7axpUHLnIYeSv+pSz/CWRw2pSWI01bUTDfpgLzKxL0umSHss2klQ+K+mTkkayDiSlkyUNSVqbnBa4w8zasw6qXO7+gqTbJG2VtEPSbnf/XrZRpTbH3Xckv++UNCfLYCqUuxxG/qoruchfEjmsgM7rFTCzmZK+Ielqd9+TdTyVMLNlkl509w1ZxxJBq6S3Sfqiu58uaa8a85TTcQrfjk6WdIKkdjO7NNuo4vEwtgvju2SM/FV3cpG/JHJYQS0Kq1xNG2FmRygkpV53fyDreFJYLOk9ZjaocGrjnWZ2T7YhVex5Sc+7e+Hb9/0KiarRvEvSc+4+5O6/kvSApLMzjimtXWZ2vCQlty9mHE8lcpPDyF91KS/5SyKHSapNYZWbaSPMzBTOgz/t7p/JOp403P06dz/J3bsU/iffd/eG/Gbh7jslbTOzwizk50t6KsOQKrVV0plm1pa8185Xg3ZiLfItSR9Kfv+QpG9mGEulcpHDyF/1KUf5SyKHSUoxpc1UVTj1Tb1aLOmDkn5sZhuTZde7+7czjAnBlZJ6kwPfs5JWZhxP2dz9MTO7X9LjCldwDaiBpoYws3slnSdplpk9L2mVpFslfd3MLpe0RdLF2UVYmRzlMPJX/Wr4/CWRww7+Haa0AQAAiIPO6wAAAJFQWAEAAERCYQUAABAJhRUAAEAkFFYAAACRUFgBAABEQmEFAAAQyf8D3jvvISUEK3kAAAAASUVORK5CYII=\n", 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3O1xmxg+nj2bH7nru+r+VdO+SzBfG9fYdS0REwoDuTUm75ZcEGJSTTv/uab6jRIWE+Djuu3ACkwdkc8uzi3m7tMx3JBERCQMqZ9IutQ1NvLe2nKnDtPBsR0pJjOexy/IYktuFa54sYtmmKt+RRETEM5UzaZeiDyuoaWhi2gjd0uxomamJPH75FLqlJTFzznzWle3xHUlERDxSOZN2KSgNkBQfxzGDu/uOEpV6dk3hySum4IBLZ7/P9l3a5klEJFapnEm75BcHmDwoi7QkzSEJlcG5XZg9czI7dtdz2exCdtZqmycRkVikciYHtLWqluJtu5iqWZohN75fNx6+eBKl23Zx9RNF2uZJRCQGqZzJAX2yhIbGm3WKqcNzufe8cby3tpyv/2kxTc3aRUBEJJaonMkB5ZcG6Nk1mRE9M3xHiRnTx/fhu2eN4u/Lt/K9F7XNk4hILNEAImlTU7Pj7dIyTh3VEzPzHSemXHHCIAK76ng4fw25Gcl87XPDfUcSEZFOoHImbVqyqZKqmgamDtctTR9uO30EO3bX8Zt/lZLTJZmLjxngO5KIiIRYSG9rmtnpZlZsZqvN7Pb9vOc8M1tpZivM7OlWx5vMbHHw8VIoc8r+5RcHiDM4YagWn/XBzPjpl8bw2ZE9+O6Ly/n7si2+I4mISIiF7MqZmcUDDwCnAJuAQjN7yTm3stV7hgF3AMc75yrMrEerj6hxzo0PVT5pn4LSAGP7diMrPcl3lJiVEB/H/RdNZMbv3+PmZxbTLS2JY4dovTkRkWgVyitnU4DVzrm1zrl64Blg+l7vuQp4wDlXAeCc2x7CPHKQKvbUs2RjJdN0S9O71KR4Zs+czIDuaVz9RBErPtI2TyIi0SqU5awPsLHV803BY60NB4ab2Ttm9p6Znd7qtRQzKwoePyeEOWU/3l5dRrPTEhrholtaEk9cMYWMlARmzilkw45q35FERCQEfC+lkQAMA04CLgQeM7NuwdcGOOfygIuA35jZkL1PNrOrgwWuKBAIdFLk2FFQEiAzNZFxfbv5jiJBvTJTeeKKKTQ0NXPp7Pcp213nO5KIiHSwUJazzUC/Vs/7Bo+1tgl4yTnX4JxbB5TQUtZwzm0O/roWeBOYsPc3cM496pzLc87l5ebq6k5Hcs5RUBrghGE5xMdpCY1wMrRHBn+4bDJbd9Yya04hu+safUcSEZEOFMpyVggMM7NBZpYEXADsPevyr7RcNcPMcmi5zbnWzLLMLLnV8eOBlUinKd62i20765imLZvC0qQBWTw0YxIrt+zkmieLqGvUNk8iItEiZOXMOdcI3Ai8BnwAPOucW2Fmd5vZ2cG3vQbsMLOVwBvAN51zO4AjgSIzWxI8/rPWszwl9PKLW24Ta32z8HXyyB784stjeWf1Dm59dgnN2uZJRCQqhHQRWufcK8Arex37XquvHXBL8NH6Pf8BxoQym7StoDTAiJ4ZHJGZ4juKtOHLk/pStruOn/59FTldkrlu2mC++sxi7r9oAj0y9M9ORCQS+Z4QIGGour6RwnUVmqUZIa6eOpgrTxjE3P98yDXzFlD4YTn3/avUdywRETlE2r5J/sd7a3dQ39TMVI03iwhmxpPvrQdg8caW9c/mvb+Bee9vIDkhjuIfneEznoiIHCRdOZP/kV8cIDUxnryBWb6jSDu99a2T+cLYXnw8sTY5IY7p43vz1m0n+w0mIiIHTeVM/kdBaRnHDM4mJTHedxRppx5dU+iamsjHUwLqGptJio/TuDMRkQikciafsmFHNevK9mjLpghUtruOGUcP4L4LxhNn8Pqq7TRpBqeISMTRmDP5lPxSLaERqR65JO+Tr2sbmvnWn5fyq38W883TRnpMJSIiB0tXzuRT8osD9MtOZVBOuu8ochjOm9yPC6f044E31vCPFVt9xxERkYOgciafqG9s5t01ZUwdlouZtmyKdN//wlGM7ZvJrc8uYV3ZHt9xRESknVTO5BML1lewp75J482iREpiPA/OmEhCvHHtkwuortcenCIikUDlTD6RXxIgIc44dkh331Gkg/TNSuO3F0ygZPsu7vjLMlo25RARkXCmciafKCgJMGlAFhkpib6jSAeaOjyXW08ZzouLP+KJd9f7jiMiIgegciYAbN9Vy8otOzVLM0pdf9JQPndkD374fytZsL7cdxwREWmDypkA8FZJGYDGm0WpuDjj3vPG0ycrleufWsj2XbW+I4mIyH6onAnQMt4sp0syo3p19R1FQiQzNZGHL55EVU0DNz69iIamZt+RRERkH1TOhKZmx1ulAaYOyyEuTktoRLMje3Xlp18aw/x15fzi1VW+44iIyD6onAnLN1dRUd3AtBG6pRkLvjihL5cdO4DH3lrHy0u3+I4jIiJ7UTkTCkoCmMEJQ3N8R5FO8p0zRzGxfze++fwSVm/f5TuOiIi0onIm5JcEGNMnk+5dkn1HkU6SlBDHgzMmkZYUzzVPLmB3nRaoFREJFypnMa6qpoFFGyuZOky3NGPNEZkp/O7CiXy4o5pvPb9EC9SKiIQJlbMY95/VZTQ1O403i1HHDunObaeP4JVlW/n9W+t8xxEREVTOYl5BaYCM5ATG9+vmO4p4ctWJgzlj9BH87NVVvLtmh+84IiIxT+UshjnnyC8OcPzQHBLj9a9CrDIz7jl3HAO7p/HVPy5ka5UWqBUR8Ul/IsewNYHdfFRVqy2bhC7JCTxyySRq6pu4/qkF1DdqgVoREV9UzmLYm8UBAKYO1xIaAkN7ZPCLr4xj4YZKfvzySt9xRERilspZDCsoLWNIbjp9s9J8R5EwcebYXlx5wiAef3c9f1202XccEZGYpHIWo2obmnh/7Q6mDe/hO4qEmdvOGMmUQdnc/pelfLBlp+84IiIxR+UsRr23dgd1jc26pSn/IzE+jvsvmkDXlESum7eAqpoG35FERGKKylmMKigpIzkhjmMGd/cdRcJQj4wUHpwxkU0VNdz67GKam7VArYhIZ1E5i1H5JduZMiiblMR431EkTOUNzObOM4/kXx9s56H8Nb7jiIjEDJWzGLSpopo1gT1M0xIacgCXHTeQ6eN788t/FFNQEvAdR0QkJqicxaCCkjIATtKWTXIAZsZPvzSG4T0yuPmZRWyqqPYdSUQk6qmcxaCCkgC9M1MYktvFdxSJAGlJCTx8ySQamxzXP7WQ2oYm35FERKKaylmMaWhq5p3VZUwbkYuZ+Y4jEWJQTjr3njeOpZuquOtvK3zHERGJaipnMWbxxkp21TUydZhuacrBOfWoI7j+pCH8cf5Gni3c6DuOiEjUUjmLMfnFAeLjjOOGan0zOXi3njqCE4bmcOeLy1m+ucp3HBGRqKRyFmMKSgNM6NeNzNRE31EkAsXHGb+9YDw56UlcO28BFXvqfUcSEYk6KmcxZMfuOpZtrtISGnJYundJ5sGLJ7F9Zx03/2kxTVqgVkSkQ6mcxZC3V5fhHExVOZPDNL5fN35w9lEUlAT47b9LfccREYkqKmcxJL84QHZ6EmP6ZPqOIlHgwin9OHdSX+77dyn//mCb7zgiIlFD5SxGNDc7CkrLOGFoDnFxWkJDDp+Z8cNzRnNU7658/U+LWb9jj+9IIiJRQeUsRqzcspOy3XUabyYdKiUxnocvnoSZce28hdTUa4FaEZHDpXIWIwpKW/ZFPHG4ltCQjtUvO43fXDCeVVt38p2/LsM5TRAQETkcKmcxIr84wKheXemRkeI7ikShk0f04ObPDuMvCzfz1PsbfMcREYloKmcxYFdtAwvWV2iWpoTUTZ8ZxskjcrnrbytYtKHCdxwRkYilchYD3l2zg8Zmp/FmElJxccavzx/PEZkpXP/UQsp21/mOJCISkVTOYkB+SYD0pHgmDcjyHUWiXLe0JB6aMYnyPfV89elFNDY1+44kIhJxVM6inHOO/JIAxw7JISlB/7gl9Eb3yeTHXxzDu2t38Mt/lPiOIyIScfSndZRbV7aHTRU1TBuhW5rSeb4yqS8XHd2fh/PX8OryLb7jiIhEFJWzKFdQ0rKExrRhKmfSub7/hVGM65vJN55byprAbt9xREQihspZlMsvCTAoJ53+3dN8R5EYk5wQz4MXTyIpIY7r5i1gT12j70giIhFB5SyK1TY08d7acqYO08Kz4kefbqn87sIJrN6+m9v+vFQL1IqItIPKWRQr+rCCmoYmjTcTr44fmsM3ThvB/y3dwpx3PvQdR0Qk7IW0nJnZ6WZWbGarzez2/bznPDNbaWYrzOzpVscvM7PS4OOyUOaMVgWlAZLi4zhmcHffUSTGXTdtCKeO6slPXvmA+evKfccREQlrIStnZhYPPACcAYwCLjSzUXu9ZxhwB3C8c+4o4GvB49nA94GjgSnA981Mi3QdpPziAJMHZZGWlOA7isQ4M+OX542jX3YaNzy9kO07a31HEhEJW6G8cjYFWO2cW+ucqweeAabv9Z6rgAeccxUAzrntweOnAf90zpUHX/sncHoIs0adrVW1FG/bxVTN0pQw0TUlkYcvnsTu2kZueHohDVqgVkRkn0JZzvoAG1s93xQ81tpwYLiZvWNm75nZ6QdxrrThkyU0NN5MwsiIIzL42ZfHUPhhBT99ZZXvOCIiYcn3/a4EYBhwEtAXKDCzMe092cyuBq4G6N+/fyjyRaz80gA9uyYzomeG7yginzJ9fB8Wbahk9jvrGN+/G2eP6+07kohIWAnllbPNQL9Wz/sGj7W2CXjJOdfgnFsHlNBS1tpzLs65R51zec65vNxcXSH6WGNTM2+XljF1WC5m5juOyP/49uePJG9AFrf/eSkl23b5jiMiElZCWc4KgWFmNsjMkoALgJf2es9fablqhpnl0HKbcy3wGnCqmWUFJwKcGjwm7bBkUxVVNQ1MHa7CKuEpKSGOB2ZMJC0pgWufXMCu2gbfkUREwkbIyplzrhG4kZZS9QHwrHNuhZndbWZnB9/2GrDDzFYCbwDfdM7tcM6VAz+kpeAVAncHj0k7FJQEiDM4YagWn5Xw1bNrCg9cNIH15dV847klWqBWRCTIouV/iHl5ea6oqMh3jLBwzgPvAPDXG473nETkwH7/1lp+9PIH3H7GSK6dNsR3HBGRTmFmC5xzeft6TTsERJmKPfUs3VTJNN3SlAhxxQmDOHNsL37x6ir+s7rMdxwREe9UzqLM26vLaHZovJlEDDPjF18ey+DcLnz1j4v4qLLGdyQREa9UzqJMQUmAzNRExvXN9B1FpN3SkxN4+OJJ1DY0cf1TC6lrbPIdSUTEG5WzKOKco6A0wAlDc0iI1z9aiSxDe3Thl+eOY/HGSn74fyt9xxER8UZ/gkeR4m272LazTuPNJGKdMaYX10wdzLz3NvDnBZt8xxER8ULlLIrkF7ds2aTxZhLJvnnaCI4ZnM23X1jGio+qfMcREel0KmdRpKA0wIieGRyRmeI7isghS4iP43cXTiQrLYnr5i2kqloL1IpIbFE5ixLV9Y0UrqvQRucSFXIzknlgxkS2VNXw9WcX09wcHesxioi0h8pZlHhv7Q7qm5qZOkzlTKLDpAFZfO+sUby+ajv3v7HadxwRkU6jchYl8osDpCbGkzcwy3cUkQ5z8TED+OKEPvz6XyW8WbzddxwRkU6hchYlCkrLOGZwNimJ8b6jiHQYM+MnXxzDiJ4Z3PzMYjaWV/uOJCIScipnUWDDjmrWle3REhoSlVKT4nn44kk0O8d1Ty2gtkEL1IpIdFM5iwL5pVpCQ6LbwJx0fn3eeJZv3sn3X1zhO46ISEipnEWB/OIA/bJTGZST7juKSMh8blRPvvqZofypaCPPzN/gO46ISMionEW4+sZm3l1TxtRhuZiZ7zgiIfW1zw3nxGE5fO/FFSzZWOk7johISKicRbgF6yvYU9+k8WYSE+LjjPsumEBuRjLXP7WQ8j31viOJiHQ4lbMIl18SICHOOHZId99RRDpFVnoSD108kcDuOm5+ZhFNWqBWRKKMylmEKygJMGlAFhkpib6jiHSasX27cffZR/FWaRm//meJ7zgiIh1K5SyCbd9Vy8otOzVLU2LSBVP6c35eP+5/YzX/XLnNdxwRkQ6jchbB3iopA9B4M4lZd00/ijF9MrnlT4v5sGyP7zgiIh1C5SyC5ZcEyOmSxKheXX1HEfEiJTGeB2dMJD7euHbeAmrqtUCtiEQ+lbMI1dTseKs0wNRhucTFaQkNiV39stP47QUTKN62i2+/sAznNEFARCKbylmEWr65iorqBqaN0C1NkWnDc7nlc8N5YdFmnnxvve84IiKHReUsQhWUBDCDE4bm+I4iEhZuOHkonx3Zg7v/tpIF68t9xxEROWQqZxEqvyTAmD6ZdO+S7DuKSFiIizN+df54endL5fqnFhLYVec7kojIIVE5i0BVNQ0s2ljJ1GG6pSnSWmZqIg9fPInK6gZufHohjU3NviOJiBy0dpczM0sLZRBpv/+sLqOp2Wm8mcg+jOrdlZ98cQzvryvnF68V+44jInLQDljOzOw4M1sJrAo+H2dmD4Y8mexXQWmAjOQExvfr5juKSFj68qS+XHLMAB4tWMsry7b4jiMiclDac+Xs18BpwA4A59wSYGooQ8n+OefILw5w/NAcEuN1V1pkf7571igm9O/GN59bwurtu33HERFpt3b96e6c27jXIa306MmawG4+qqrVlk0iB5CUEMeDMyaSkhjPtfMWsLuu0XckEZF2aU8522hmxwHOzBLN7BvAByHOJfvxZnEAgKnDtYSGyIH0ykzldxdNYG1gN7c9v1QL1IpIRGhPObsWuAHoA2wGxgefiwf5JQGG5KbTN0vzM0Ta47ghOdx2+kheXraFP7y9znccEZEDSmjrRTOLB37rnJvRSXmkDbUNTcxfV86Mowf4jiISUa6eOphFGyr56d9XMbpPJscM7u47kojIfrV55cw51wQMMLOkTsojbXhv7Q7qGpt1S1PkIJkZ95w7lgHZadz49EK2VtX6jiQisl/tua25FnjHzL5rZrd8/Ah1MPlfBSVlJCfE6W/9IocgIyWRhy+ZRHV9Ezc8vZD6Ri1QKyLhqT3lbA3wf8H3ZrR6SCfLL9nOlEHZpCTG+44iEpGG98zg518ey4L1FfzkFc1rEpHw1OaYMwDn3F0AZtYl+FwLBnmwqaKaNYE9XDilv+8oIhHtC+N6s3hjJX94ex0T+ndj+vg+viOJiHxKe3YIGG1mi4AVwAozW2BmR4U+mrRWUFIGwDStbyZy2G4/YyRTBmZz+5+XsWrrTt9xREQ+pT23NR8FbnHODXDODQBuBR4LbSzZW0FJgN6ZKQzt0cV3FJGIlxgfx/0zJpCRksC1Ty5gZ22D70giIp9oTzlLd8698fET59ybQHrIEsn/aGhq5p3VZUwbkYuZ+Y4jEhV6ZKTwwIyJbKqo4dZnl9DcrAVqRSQ8tGu2ZnCm5sDg405aZnBKJ1m8sZJddY1MHaZbmiIdafLAbL79+SP558ptPJS/xnccERGgfeXsciAX+AvwZyAneEw6SX5xgPg447ihWt9MpKPNOn4gXxjXm3v/UcxbpQHfcUREDlzOnHMVzrmbnHMTnXOTnHNfc85VdEY4aVFQGmBCv25kpib6jiISdcyMn31pDEN7dOGmPy5ic2WN70giEuPaM1vzn2bWrdXzLDN7LaSp5BM7dtexbHOVZmmKhFB6cgIPXzyJhibH9fMWUNfY5DuSiMSw9tzWzHHOVX78JHjVrEfIEsmnvL26DOdgqsqZSEgNzu3CL88dx5JNVdz1t5W+44hIDGtPOWs2s09WPjWzAYCmNXWS/OIA2elJjOmT6TuKSNQ7ffQRXHfSEJ5+fwPPFm30HUdEYtQBdwgAvgO8bWb5gAEnAleHNJUA0NzsKCgNcMLQHOLitISGSGe49ZThLN1UyZ1/Xc4RXVO4/43V3H/RBHpkpPiOJiIxoj0TAl4FJgJ/Av4ITHLOacxZJ1i5ZSdlu+s13kykEyXEx3HfBRPonp7EdfMWUPhhOff9q9R3LBGJIfu9cha8fVnpnKtyzpWZ2R7gHGCEmd3vnKvvrJCxKr+kZVr/icO1hIZIZzruZ69T19j8yfN5729g3vsbSE6Io/hHZ3hMJiKxoK0rZ88S3AnAzMYDzwEbgHHAgyFPJhSUBBjVq6tup4h0sre+dTJnj+9NYnzLcIL4OGP6+N68ddvJnpOJSCxoa8xZqnPuo+DXFwOznXP3mlkcsDjkyWLcrtoGFqyv4MoTB/uOIhJzenRNISM5gcZmR7xBU7Njc2WN/qIkIp2irStnrUegfwb4N4Bzrnnfb9/HB5idbmbFZrbazG7fx+szzSxgZouDjytbvdbU6vhL7f2e0eLdNTtobHYabybiSdnuOmYcPYAXbzyBPt1SKPqwgn9/sM13LBGJAW1dOXvdzJ4FtgBZwOsAZtYLOOB4MzOLBx4ATgE2AYVm9pJzbu8FhP7knLtxHx9R45wbf+DfQnTKLwmQnhTPpAFZvqOIxKRHLsn75Ot/3jKN8x95jxufXsSz1xzLmL5a2kZEQqetK2dfo2U/zQ+BE5xzDcHjR9CyvMaBTAFWO+fWBicPPANMP/SoscM5R35JgGOH5JCU0J6l6EQklNKSEvjDzDyy05O4/PFCbfEkIiG13z/5XYtnnHO/ds5tbnV8UTuX0ugDtF7FcVPw2N6+bGZLzex5M+vX6niKmRWZ2Xtmdk47vl/UWFe2h00VNUzTLE2RsNEjI4U5syZT29DErDnz2VnbcOCTREQOge/LMn8DBjrnxgL/BB5v9doA51wecBHwGzMbsvfJZnZ1sMAVBQKBzkncCQqCS2hMG65dskTCyfCeGTx88STWBvZw3bwF1De2ewiuiEi7hbKcbQZaXwnrGzz2CefcDudcXfDp74FJrV7bHPx1LfAmMGHvb+Cce9Q5l+ecy8vNjZ6B8/klAQZ2T6N/9zTfUURkL8cPzeGnXxrDO6t38J0XluGcdrMTkY51wHJmZje359g+FALDzGyQmSUBFwCfmnUZnFzwsbOBD4LHs8wsOfh1DnA8EBM7Edc2NPHe2nLN0hQJY+fm9eOmzw7juQWbuP/11b7jiEiUac+Vs8v2cWzmgU5yzjUCNwKv0VK6nnXOrTCzu83s7ODbbjKzFWa2BLip1eceCRQFj78B/GwfszyjUtGHFdQ0NDFthMqZSDj7+ueG8aUJfbj3nyX8ddHmA58gItJObW3fdCEt470G7bXOWAZQ3p4Pd869Aryy17Hvtfr6DuCOfZz3H2BMe75HtCkoDZAUH8cxg7v7jiIibTAzfvblsXxUVcO3nl/KEZkp+u9WRDpEW+uc/YeWNc5ygHtbHd8FLA1lqFiWXxxg8qAs0pLa+kcjIuEgKSGORy7O40sPvcM1Ty7gz9cdx9AeXXzHEpEI19ZSGuudc2865451zuW3eiwM3rKUDra1qpbibbuYOky3NEUiRWZaInNnTSEx3pg1dz5lu+sOfJKISBvaMyHgS2ZWamZVZrbTzHaZ2c7OCBdrPllCQ+PNRCJKv+w0fn/ZZAK76rjy8SJq6pt8RxKRCNaeCQG/AM52zmU657o65zKcc11DHSwW5ZcE6Nk1mRE9M3xHEZGDNL5fN35z/gSWbKrk639aTHOzltgQkUPTnnK2zTn3QciTxLjGpmbeXl3G1GG5mNmBTxCRsHP66CO488xRvLpiKz/9u/63KSKHpj2jzovM7E/AX4FPBlM45/4SqlCxaMmmKqpqGpiq9c1EItrlxw9kY3k1j721jn7ZaVx67EDfkUQkwrSnnHUFqoFTWx1ztGyKLh2koCRAnMEJQ7WfpkgkMzO+e9YoNlVU84OXVtCnWyqfPbKn71giEkEOWM6cc7M6I0isyy8JMLZvN7LSk3xHEZHDFB9n3HfhBM5/5D1ufHoRz15zLGP6ZvqOJSIRoj2zNYeb2b/NbHnw+VgzuzP00WJHxZ56lm6q1JZNIlEkLSmBP1yWR3Z6Epc/XsjmyhrfkUQkQrRnQsBjtKzi3wDgnFtKyz6Z0kHeXl1Gs0PjzUSiTI+uKcyZNZna+iYun1PIztoG35FEJAK0p5ylOefm73VMi9B2oIKSAJmpiYzTbQ+RqDO8ZwYPXzKJNYHdXD9vIQ1Nzb4jiUiYa085KzOzIbRMAsDMvkLLtk7SAZxzFJQGOGFoDgnx7fnHISKR5vihOfz0S2N4e3UZ33lhGc5pDTQR2b/2zNa8AXgUGGlmm4F1wMUhTRVDirftYtvOOo03E4ly5+b1Y2N5Nfe9vpr+2Wnc+JlhviOJSJhqz2zNtcDnzCwdiHPO7Qp9rNiRX9yyZdOJw7WEhki0+/opw9lYUcMv/1FC36w0zpnQx3ckEQlD+y1nZnaxc26emd2y13EAnHO/CnG2mFBQGmBEzwx6Zab6jiIiIWZm/OzLY/iosoZvPb+UXpkpHD24u+9YIhJm2hrklB78NWM/DzlM1fWNFK6r0EbnIjEkOSGeRy/Jo192Klc/uYA1gd2+I4lImNnvlTPn3CPBX+/qvDix5b21O6hvambqMJUzkViSmZbI3FlT+OKD7zBrTiF/uf44crok+44lImGiPYvQPm5m3Vo9zzKz2SFNFSPyiwOkJsaTNzDLdxQR6WT9stN47NI8tu2s5crHi6htaPIdSUTCRHvWbhjrnKv8+IlzrgKYELJEMaSgtIxjBmeTkhjvO4qIeDChfxa/vWA8SzZV8rVnFtPcrCU2RKR95SzOzD65tGNm2bRvCQ5pw/ode1hXtkdLaIjEuNNH9+I7nz+SV1ds5ad//8B3HBEJA+0pWfcC75rZc4ABXwF+HNJUMaCgpGUJDW3ZJCJXnDCIjeXVPPbWOvpnp3HJsQN9RxIRj9qzztkTZlYEfCZ46EvOuZWhjRX98kvK6JedyqCc9AO/WUSimpnxvS8cxebKGr7/0gr6ZKXymZE9fccSEU/2e1vTzLoGf80GtgJPBx9bg8fkENU3NvPumjKmDsv9ZN04EYlt8XHGfRdO4Kjemdz49CKWb67yHUlEPGlrzNnTwV8XAEWtHh8/l0O0YH0Fe+qbNN5MRD4lLSmBP1yWR1ZaEpfPLWRzZY3vSCLiQVvl7GfBX490zg1u9RjknBvcGeGiVX5JgIQ449ghWhlcRD6tR9cUZs+cTE19E5fPKWRnbYPvSCLSydoqZ78N/vqfzggSSwpKAkwakEVGSqLvKCIShkYckcFDF09iTWA3189bSENTs+9IItKJ2ipnDWb2KNDXzO7b+9FZAaPN9l21rNyyU7M0RaRNJwzL4SdfGsPbq8u484XlOKc10ERiRVuzNc8CPgecRss4M+kAb5WUAWi8mYgc0Hl5/dhUXs19r6+mf/c0bjh5qO9IItIJ2ipn33TO3WZm/Z1zj3daoiiXXxIgp0sSo3p19R1FRCLA108ZzsaKGu55rZi+WalMH9/HdyQRCbG2bmt+3lrWebigs8JEu6Zmx1ulAaYOyyUuTktoiMiBmRk/+/IYpgzK5pvPLeX9tTt8RxKREGurnL0KVABjzWynme1q/Wsn5YsqyzdXUVHdoPFmInJQkhPiefSSSfTNTuXqJxewJrDbdyQRCaH9ljPn3Dedc92Al51zXZ1zGa1/7byI0aOgJIAZnDgsx3cUEYkw3dKSmDtzCglxxqw5hezYXec7koiEyAE3PnfOTTezAWb2OQAzSzWzjNBHiz75JQHG9Mmke5dk31FEJAL1757G7y/LY9vOWq58oojahibfkUQkBA5YzszsKuB54JHgob7AX0OYKSpV1TSwaGMlU4fplqaIHLoJ/bP47QXjWbyxkq//aTHNzVpiQyTaHLCcATcAxwM7AZxzpUCPUIaKRv9ZXUZTs2PaCJUzETk8p4/uxXc+fyR/X76Vn726ynccEelgbS2l8bE651z9xxt0m1kCoL+qHaT8kgAZyQmM79fNdxQRiQJXnDCIDeXVPFqwln5ZqVxy7EDfkUSkg7SnnOWb2beBVDM7Bbge+FtoY0UX5xwFJQGOH5pDYnx7LlaKiLTNzPjeWaPYXFHD919aQZ+sVD4zsqfvWCLSAdrTFG4HAsAy4BrgFeDOUIaKNqu37+ajqlotoSEiHSohPo77LpzAqN5dufHpRSzfXOU7koh0gPbM1mwGHgfuAn4AzHXa5O2g5JcEAJg6XEtoiEjHSk9OYPZlk+mWmsjlcwv5qLLGdyQROUztma15ElAKPAA8CJSY2dTQxoou+SUBhuSm0zcrzXcUEYlCPbqmMGfWFGrqm5g1p5CdtQ2+I4nIYWjPbc17gVOdc9Occ1Np2Qj916GNFT1qG5qYv66cacM1wVVEQmfEERk8dPEk1gR2c8NTC2loavYdSUQOUXvKWaJzrvjjJ865EiAxdJGiy3trd1DX2KxbmiIScicMy+EnXxzDW6Vl3PnCcjQCRSQytWe2ZpGZ/R6YF3x+MVAUukjRpaCkjOSEOI4Z3N13FBGJAedN7sfGimp+9/pq+ndP44aTh/qOJCIHqT3l7DpaFqK9Kfi8AHgoZImiTH7JdqYMyiYlMd53FBGJEbecMpwN5dXc81oxfbNSmT6+j+9IInIQ9lvOzCwXyHXOrQR+FXxgZkcBXWlZXkPasKmimjWBPVw4pb/vKCISQ8yMX3xlLFuqavnmc0vplZnKlEHZvmOJSDu1Nebsd8C+BkplA78NTZzoUlBSBsA0rW8mIp0sOSGeRy+ZRN/sVK5+sog1gd2+I4lIO7VVzoY65wr2PuicewsYG7pI0aOgJEDvzBSG9ujiO4qIxKBuaUnMnTmFeDNmzSlkx+4635FEpB3aKmcZbbym2ZoH0NDUzDury5g6PJeP9yUVEels/bun8dhleWzbWcuVTxRR29DkO5KIHEBb5Wy1mX1+74NmdgawNnSRosPijZXsqmvULU0R8W5i/yx+c/54Fm+s5JZnF9PcrCU2RMJZW7M1vwa8bGbnAQuCx/KAY4GzQpwr4uUXB4iPM44bqvXNRMS/M8b04jufP5IfvfwBP89axR2fP9J3JBHZj/2WM+dcqZmNAS4CRgcP5wPXOOdqOyNcJCsoDTChXzcyU3UHWETCwxUnDGJDeTWPFKylb3YalxwzwHckEdmHNtc5c87VAXM6KUvUKNtdx9JNVdx6ynDfUUREPmFmfO+sUWyqqOH7Ly6nb7dUTh6preVEwk17tm86ZGZ2upkVm9lqM7t9H6/PNLOAmS0OPq5s9dplZlYafFwWypwd7e3SliU0pmq8mYiEmYT4OH534QSO7NWVG55eyPLNVb4jicheQlbOzCweeAA4AxgFXGhmo/bx1j8558YHH78PnpsNfB84GpgCfN/MskKVtaMVlATITk9iTJ9M31FERP5HenICs2dOpltqIlc8XshHlTW+I4lIK+0qZ2aWamYjDvKzpwCrnXNrnXP1wDPA9HaeexrwT+dcuXOuAvgncPpBfn8vmpsdBaUBThiaQ1ycltAQkfDUs2sKs2dNprquicvnFrKrtsF3JBEJOmA5M7MvAIuBV4PPx5vZS+347D7AxlbPNwWP7e3LZrbUzJ43s34HeW7YWbllJ2W767WEhoiEvZFHdOWhiyexevturn9qIQ1Nzb4jiQjtu3L2A1quglUCOOcWA4M66Pv/DRjonBtLy9Wxxw/mZDO72syKzKwoEAiPrT7zS1pynDhcS2iISPg7YVgOP/niGN4qLeO7f12Oc1oDTcS39pSzBufc3iNG2/Nf72agX6vnfYPH/vshzu0IzggF+D0wqb3nBs9/1DmX55zLy80NjytVBSUBRvXqSo+MFN9RRETa5bzJ/bjx5KE8U7iRB99c4zuOSMxrTzlbYWYXAfFmNszMfgf8px3nFQLDzGyQmSUBFwCfuh1qZr1aPT0b+CD49WvAqWaWFZwIcGrwWFjbVdvAgvUVmqUpIhHn1lOHM318b+55rZgXF//P34VFpBO1p5x9FTgKqAOeBqqAmw90knOuEbiRllL1AfCsc26Fmd1tZmcH33aTma0wsyXATcDM4LnlwA9pKXiFwN3BY2Ht3TU7aGx2Gm8mIhHHzPjFV8YyZWA233xuKYUfhv3/ckWilh1ofIGZneuce+5Ax3zLy8tzRUVFXjN854Vl/HXRZhZ971SSEkK6hJyISEhUVtfzpYf+Q/meev5y3XEMzu3iO5JIVDKzBc65vH291p4GcUc7j8U05xz5JQGOHZKjYiYiEatbWhJzZ04h3oxZcwvZsbvuwCeJSIfab4swszOC48v6mNl9rR5zgcZOSxgh1pXtYVNFDdM0S1NEIlz/7mk8dlkeW6tqueqJImobmnxHEokpbV3i+QgoAmqBBa0eL9GySKy0UhBcQmPacO1TJyKRb2L/LH5z/ngWbazklmcX09ysJTZEOst+Nz53zi0BlphZT+fcp9YfM7Obgd+GOlwkyS8JMLB7Gv27p/mOIiLSIc4Y04tvn3EkP37lA36etYo7Pn+k70giMaE9g6Mu2MexmR2cI6LVNjTx3tpyzdIUkahz5YmDuOSYATxSsJZ57633HUckJuz3ypmZXQhcBAzaa7umDEBzrFsp+rCCmoYmrW8mIlHHzPj+F0axubKG7724nD7dUjl5pIZviITSfssZLQvNbgFygHtbHd8FLA1lqEhTUBogKT6OYwZ39x1FRKTDJcTH8bsLJ3DeI+9yw9MLefaaYxndJ9N3LJGotd/bms659c65N51zxwIfAonOuXxaFpRN7aR8ESG/OMDkQVmkJ7fVdUVEIld6cgKzZ06mW2oiVzxeyEeVNb4jiUStA445M7OrgOeBR4KH+gJ/DWGmiLKlqobibbuYOky3NEUkuvXsmsLsWZPZU9fE5XML2VXb4DuSSFRqz4SAG4DjgZ0AzrlSQAMOgt4qKQNg2giVMxGJfiOP6MpDF09k9fbd3PD0Ihqamn1HEok67Slndc65+o+fmFkCoAVvgvJLAvTsmsyInhm+o4iIdIoTh+Xy4y+OpqAkwHf/upwDbQMoIgenPYOk8s3s20CqmZ0CXA/8LbSxIkNjUzNvry7j1FE9MTPfcUREOs35k/uzsbyG+99YTf/uaVx/0lDfkUSiRnuunN0OBIBlwDXAK8CdoQwVKZZsqqKqpkFLaIhITLr11OFMH9+bX7xazEtLPvIdRyRqHPDKmXOuGXgs+JBWCkoCxBmcMFT7aYpI7DEzfvGVsWyprOUbzy6hV2YKkwdm+44lEvHaM1tznZmt3fvRGeHCXX5JgLF9u5GVnuQ7ioiIF8kJ8TxyyST6ZqVy1RNFrA3s9h1JJOK157ZmHjA5+DgRuA+YF8pQkaBiTz1LN1VqyyYRiXlZ6UnMmTWZODNmzS1kx+4635FEItoBy5lzbkerx2bn3G+AM0MfLby9vbqMZofGm4mIAAO6p/PYpXlsrarlqieKqG1o8h1JJGK157bmxFaPPDO7lvbN8oxqBSUBMlMTGddXW5iIiABMGpDFb84fz6KNldz67BKam7XEhsihaE/Jar2vZiMtWzmdF5I0EcI5R0FpgBOG5pAQ3547wyIiseGMMb2444yR/OSVVfTNTuWOM470HUkk4rRntubJnREkkhRv28W2nXUabyYisg9XnTiYDeXVPJK/lv7Zacw4eoDvSCIRpT23NTPN7FdmVhR83GtmMX0vL784AMCJw7WEhojI3syMH3zhKE4ekcv3XlzBG8XbfUcSiSjtuSc3G9hFy63M82jZY3NOKEOFu4LSACN6ZtArM9V3FBGRsJQQH8f9F01k5BEZ3PjUQlZ8VOU7kkjEaE85G+Kc+75zbm3wcRcwONTBwtWeukYK11UwVVfNRETalJ6cwOyZk+mamsjlcwvZUlXjO5JIRGhPOasxsxM+fmJmxwMx+1/Ye2t3UN/UzLThPXxHEREJez27pjBn1mT21DUxa04hu2obfEcSCXvtKWfXAg+Y2Ydmth64P3gsJhWUBEhNjCdvYJbvKCIiEWHkEV15cMZESrfv5oanF9HQ1Ow7kkhYa88itEucc+OAscAY59wE59yS0EcLT/klAY4ZnE1KYrzvKCIiEWPq8Fx+fM5oCkoCfO/F5TinNdBE9ueAS2mYWTLwZWAgkGBmADjn7g5psjC0cH05H+6o5ssT+/qOIiIScS6Y0p+NFdU88MYa+menc91JQ3xHEglL7VmE9kWgClgAxPSGaT/9+yoASrfv8pxERCQy3XrKCDaW1/DzV1fRNyuVL4zr7TuSSNhpTznr65w7PeRJwtiIO/9OXeN/x0i8tGQLLy15meSEOIp/dIbHZCIikSUuzrjn3LFsrarl1ueWcERmCpMHZvuOJRJW2jMh4D9mNibkScLYW986mS+M7fXJ85TEOKaP781bt2nzBBGRg5WcEM8jl0yib7dUrnqiiHVle3xHEgkr+y1nZrbMzJYCJwALzazYzJa2Oh4zenRNoWtqIgYkxcdR19hMRnICPTJSfEcTEYlIWelJzJk1mTgzZs2ZT/meet+RRMJGW7c1z+q0FBGgbHcdM44ZwEVT+vP0/A0EdtX6jiQiEtEGdE/nsUvzuPCx97jqiSKeuvJozYQXAWx/05nNrM1BAM658pAkOkR5eXmuqKjIdwwRETlIryzbwvVPLeTMsb343QUTiIsz35FEQs7MFjjn8vb1WltXzhYADtjXfyWOGN7CSUREOs7nx/Ti258fyU9eWUW/rDRuP2Ok70giXu23nDnnBnVmEBERiV1XnTiYDeXVPJy/hn7Zqcw4eoDvSCLe7LecmdlI59wqM5u4r9edcwtDF0tERGKJmfGDLxzF5ooavvfiCnp3S+XkEdrDWGJTW2POHnPOXWVmb+zjZeec+0xoox0cjTkTEYl8u+saOe/hd1m/Yw/PXXsco3p39R1JJCTaGnO233IWaVTORESiw9aqWr744Ds4By/ccBy9MlN9RxLpcG2Vs7bWOZtsZke0en6pmb1oZvcdaCaniIjIoToiM4XZMyezu66RWXMK2VXb4DuSSKdqa4eAR4B6ADObCvwMeIKWfTYfDX00ERGJVUf26sqDMyZSun03Nzy9iIam5gOfJBIl2ipn8a3WMjsfeNQ592fn3HeBoaGPJiIisWzq8Fx+fM5oCkoCfO/F5UTLMByRA2lrnbN4M0twzjUCnwWubud5IiIiHeKCKf3ZUF7Ng2+uoX92OtedNMR3JJGQa6tk/RHIN7MyoAZ4C8DMhtJya1NERCTkvnHqCDZW1PDzV1fRLzuVs8b29h1JJKTaWoT2x2b2b6AX8A/33+vJccBXOyOciIhIXJxxz1fGsrWqhlueXcIRXVPIG6h5aRK92hpzhnPuPefcC865Pa2OlWgBWhER6UwpifE8ekkefbqlctUTRawr23Pgk0QiVJvlTEREJFxkpScxZ+ZkzIxZc+ZTvqfedySRkFA5ExGRiDEwJ53HLs3jo6parnqiiNqGJt+RRDqcypmIiESUSQOy+PV541mwvoJbn1tCc7OW2JDoonImIiIR58yxvbjjjJG8vHQL9/yj2HcckQ6l9cpERCQiXT11MBvKq3nozTX0y0rjoqP7+44k0iFUzkREJCKZGXedfRSbK2v47ovL6d0thZNG9PAdS+SwhfS2ppmdbmbFZrbazG5v431fNjNnZnnB5wPNrMbMFgcfD4cyp4iIRKaE+Djuv2giI3pmcMNTC1n50U7fkUQOW8jKmZnFAw8AZwCjgAvNbNQ+3pcB3Ay8v9dLa5xz44OPa0OVU0REIluX5ARmz5xMRkoil88tZEtVje9IIocllFfOpgCrnXNrnXP1wDPA9H2874fAz4HaEGYREZEodkRmCnNmTWZ3XSOXzy1id12j70gihyyU5awPsLHV803BY58ws4lAP+fcy/s4f5CZLTKzfDM7MYQ5RUQkChzZqysPzJhIybZd3PDUQhqbmn1HEjkk3pbSMLM44FfArft4eQvQ3zk3AbgFeNrMuu7jM642syIzKwoEAqENLCIiYW/a8Fx+dM5o8ksCfPfFFfx3W2iRyBHKcrYZ6Nfqed/gsY9lAKOBN83sQ+AY4CUzy3PO1TnndgA45xYAa4Dhe38D59yjzrk851xebm5uiH4bIiISSS6c0p/rTxrCH+dv4JGCtb7jiBy0UC6lUQgMM7NBtJSyC4CLPn7ROVcF5Hz83MzeBL7hnCsys1yg3DnXZGaDgWGA/gsTEZF2+capI9hYUcPP/r6KvlmpnDW2t+9IIu0WsnLmnGs0sxuB14B4YLZzboWZ3Q0UOedeauP0qcDdZtYANAPXOufKQ5VVRESiS1yccc9XxrKlsoZbnl3CEV1TyBuY7TuWSLtYtNyPz8vLc0VFRb5jiIhIGCnfU8+XH/oPldX1vHD98QzMSfcdSQQAM1vgnMvb12vaW1NERKJWdnoSc2ZOBmDmnPmU76n3nEjkwFTOREQkqg3MSef3l+XxUVUtVz9RRG1Dk+9IIm1SORMRkag3aUA2vz5vPEXrK/jGc0tobo6OIT0SnVTOREQkJpw5thd3nDGS/1u6hXv+Uew7jsh+hXIpDRERkbBy9dTBrC+v5qE319A/O40Lp/T3HUnkf6iciYhIzDAz7j77KDZX1HDnX5fTu1sq04ZrEXMJL7qtKSIiMSUhPo4HZkxkeM8MbnhqISs/2uk7ksinqJyJiEjM6ZKcwJyZk+mSnMDlcwvZWlXrO5LIJ1TOREQkJh2RmcKcWZPZXdfIrLmF7K5r9B1JBFA5ExGRGHZkr648MGMiJdt2ccNTC2lsavYdSUTlTEREYtu04bn8cPpo8ksCfP+lFUTLtoYSuTRbU0REYt5FR/dnY8V/l9i4ZtoQ35EkhqmciYiIAN88dQQby6v56d9X0TcrjTPH9vIdSWKUypmIiAgQF2f88txxbK2q5evPLuaIzGQmDcj2HUtikMaciYiIBKUkxvPopXn06ZbKlY8X8WHZHt+RJAapnImIiLSSnZ7EnJmTAZg1t5CKPfWeE0msUTkTERHZy8CcdB67NI/NlTVc/WQRtQ1NviNJDFE5ExER2Ye8gdn86rxxFH5YwTefX0pzs5bYkM6hCQEiIiL7cdbY3myqqOFnf19Fv6xUvnX6SN+RJAaonImIiLThmqmD2VBezYNvrqFfdhoXTunvO5JEOZUzERGRNpgZd599FJsrarjzr8vp3S2VacNzfceSKKYxZyIiIgeQEB/HAzMmMrxnBjc8tZAPtuz0HUmimMqZiIhIO3RJTmD2zDy6JCdw+dxCtlbV+o4kUUrlTEREpJ16ZaYye+ZkdtY0cPncQnbXNfqOJFFI5UxEROQgjOrdlQdmTKR42y5ufHohjU3NviNJlFE5ExEROUgnjejBD6eP5s3iAN9/aQXOaQ006TiarSkiInIILjq6PxvKq3k4fw39s9O4ZtoQ35EkSqiciYiIHKJvnTaCjRXV/PTvq+iblcaZY3v5jiRRQOVMRETkEMXFGfeeO46tVbV8/dnFHJGZzKQB2b5jSYTTmDMREZHDkJIYz2OX5tE7M4WrnljAh2V7fEeSCKdyJiIicpiy05OYM2sKzjlmzS2kYk+970gSwVTOREREOsCgnHQeuzSPzZU1XP1kEbUNTb4jSYRSORMREekgeQOz+dV54yj8sIJvPr+U5mYtsSEHTxMCREREOtBZY3uzsbyGn7+6iv7ZqXzztJG+I0mEUTkTERHpYNdOG8yG8moeeGMN/bLSuGBKf9+RJIKonImIiHQwM+OH04/io8oavvPX5fTulsrU4bm+Y0mE0JgzERGREEiIj+OBGRMZ3jOD659ayAdbdvqOJBFC5UxERCREuiQnMHtmHl2SE7h8biHbdtb6jiQRQOVMREQkhHplpjJ75mR21jQwa04hu+safUeSMKdyJiIiEmKjenfl/hkTKd62i68+vZDGpmbfkSSMqZyJiIh0gpNH9OCH00fzRnGA77+0Aue0Bprsm2ZrioiIdJKLju7PhvJqHs5fw4DuaVw9dYjvSBKGVM5EREQ60bdOG8HGimp+8soq+nRL48yxvXxHkjCjciYiItKJ4uKMe88dx9aqWr7+7GKOyExh0oAs37EkjGjMmYiISCdLSYznsUvz6J2ZwlVPFLF+xx7fkSSMqJyJiIh4kJ2exJxZU3DOMWtOIRV76n1HkjChciYiIuLJoJx0Hrs0j02VNVz9ZBG1DU2+I0kYUDkTERHxKG9gNveeO47CDyv45vNLaW7WEhuxThMCREREPPvCuN5sqqjh56+uon92Kt88baTvSOKRypmIiEgYuHbaYDaU7+GBN9bQPzuN8yf39x1JPFE5ExERCQNmxt3TR7O5spZvv7CcXpmpTB2e6zuWeBDSMWdmdrqZFZvZajO7vY33fdnMnJnltTp2R/C8YjM7LZQ5RUREwkFifBwPXDSBYT26cP1TC1m1dafvSOJByMqZmcUDDwBnAKOAC81s1D7elwHcDLzf6tgo4ALgKOB04MHg54mIiES1jJRE5syaTHpyPLPmFLJtZ63vSNLJQnnlbAqw2jm31jlXDzwDTN/H+34I/Bxo/W/fdOAZ51ydc24dsDr4eSIiIlGvV2Yqs2dOZmdNA7PmFLK7rtF3JOlEoSxnfYCNrZ5vCh77hJlNBPo5514+2HNFRESi2VG9M7l/xkSKt+3iq08vpLGp2Xck6STe1jkzszjgV8Cth/EZV5tZkZkVBQKBjgsnIiISBk4e0YO7px/FG8UBfvC3FTinNdBiQShna24G+rV63jd47GMZwGjgTTMDOAJ4yczObse5ADjnHgUeBcjLy9O/sSIiEnVmHD2ADeXVPJK/lgHZ6Vw1dbDvSBJiobxyVggMM7NBZpZEywD/lz5+0TlX5ZzLcc4NdM4NBN4DznbOFQXfd4GZJZvZIGAYMD+EWUVERMLWbaeN5MwxvfjxKx/wyrItvuNIiIXsyplzrtHMbgReA+KB2c65FWZ2N1DknHupjXNXmNmzwEqgEbjBOacNx0REJCbFxRn3njeOrTtr+fqfFtOzawqTBmT5jiUhYtFy/zovL88VFRX5jiEiIhIy5Xvq+dKD77CztpEXrj+OAd3TfUeSQ2RmC5xzeft6TRufi4iIRIjs9CTmzJpCs3PMmlNIZXW970gSAipnIiIiEWRQTjqPXZrHpooarn5iAXWNGvUTbVTOREREIszkgdn88rxxzP+wnG8+t5Tm5ugYoiQttPG5iIhIBDp7XG82VVTzi1eL6Z+dxjdOG+E7knQQlTMREZEIdd20IWwsr+b+N1bTLzuV8yf39x1JOoDKmYiISIQyM+6ePprNlbV8+4Xl9O6WyonDcn3HksOkMWciIiIRLDE+jgcumsCwHl24ft5CVm3d6TuSHCaVMxERkQiXkZLI7JmTSUuO5/I5hWzbWes7khwGlTMREZEo0LtbKrNnTqaqpoHL5xayp67RdyQ5RCpnIiIiUeKo3pncP2Miq7bu4qt/XERjU7PvSHIIVM5ERESiyMkjenD39KN4fdV27vrbSqJlm8ZYotmaIiIiUWbG0QPYUF7NI/lrGdA9jStPHOw7khwElTMREZEodNtpI9lUXsOPX/mAPt1SOWNML9+RpJ10W1NERCQKxcUZ9543jgn9uvG1Py1m4YYK35GknVTOREREolRKYjyPXZrHEZkpXPV4Eet37PEdSdpB5UxERCSKde+SzJyZk2lyjllzCqmsrvcdSQ5A5UxERCTKDc7twmOX5rGpooarn1hAXWOT70jSBpUzERGRGDB5YDa/PG8c8z8s51vPL9USG2FMszVFRERixNnjerOxvJp7Xiumf3Yat546wnck2QeVMxERkRhy/UlD2Fheze9eX02/rDTOm9zPdyTZi8qZiIhIDDEzfnjOaDZX1vDtF5bRq1sKJw7L9R1LWtGYMxERkRiTGB/HgzMmMrRHF66ft5Dirbt8R5JWVM5ERERiUEZKIrNnTiYtOZ5Zc+azbWet70gSpHImIiISo3p3S+UPl02msqaBKx4vZE9do+9IgsqZiIhITBvdJ5MHLprIyo928tU/LqKxqdl3pJinciYiIhLjTh7Zg7unj+b1Vdu5628rtQaaZ5qtKSIiIlx8zAA2llfzSMFaBnRP48oTB/uOFLNUzkRERASA204fycaKan78ygf06ZbKGWN6+Y4Uk3RbU0RERACIizN+dd54JvTrxtf+tJhFGyp8R4pJKmciIiLyiZTEeB67NI+eXVO48vEiNuyo9h0p5qiciYiIyKd075LM3FmTaXKOmXPnU1ld7ztSTFE5ExERkf8xOLcLj16Sx6byGq5+cgF1jU2+I8UMlTMRERHZpymDsrnn3LHMX1fOt55fqiU2Oolma4qIiMh+TR/fh00VNdzzWjEDstO45dQRviNFPZUzERERadP1Jw1hw45q7nt9NX2z0zgvr5/vSFFN5UxERETaZGb86Iuj+aiqhm//ZRm9M1M5YViO71hRS2PORERE5IAS4+N4YMZEhvbownXzFlC8dZfvSFFL5UxERETapWtKIrNnTiY1KZ5Zc+azbWet70hRSeVMRERE2q13t1Rmz5xMZU0DVzxeyJ66Rt+Roo7KmYiIiByU0X0yeeCiiaz8aCc3/XERTc1aYqMjqZyJiIjIQTt5ZA/umj6af6/azl1/W6E10DqQZmuKiIjIIbnkmAFsLK/m0YK19M9O48oTB/uOFBVUzkREROSQ3X76SDaWV/PjVz6gb1Yqp4/u5TtSxNNtTRERETlkcXHGr88fz/h+3bj5mcUs2lDhO1LEUzkTERGRw5KSGM/vL82jZ9cUrny8iA07qn1HimgqZyIiInLYundJZs6syTQ2O2bOnU9ldb3vSBFL5UxEREQ6xJDcLjx6ySQ2lddwzZMLqGts8h0pIqmciYiISIc5enB37jl3LO+vK+e255dqiY1DoNmaIiIi0qGmj+/Dpooa7nmtmP7Zadxy6gjfkSKKypmIiIh0uOtPGsKGHdXc9/pq+mancV5eP9+RIobKmYiIiHQ4M+NHXxzNR1U1fPsvy+jTLZXjh+b4jhURNOZMREREQiIxPo4HZkxkSG4Xrn1yAcVbd/mOFBFCWs7M7HQzKzaz1WZ2+z5ev9bMlpnZYjN728xGBY8PNLOa4PHFZvZwKHOKiIhIaHRNSWT2rMmkJsVz+dxCtu+s9R0p7IWsnJlZPPAAcAYwCrjw4/LVytPOuTHOufHAL4BftXptjXNufPBxbahyioiISGj16ZbK7JmTqaiu5/LHC9lT1+g7UlgL5ZWzKcBq59xa51w98AwwvfUbnHM7Wz1NBzTfVkREJAqN7pPJ/RdNYOVHO7npj4toatYf+fsTynLWB9jY6vmm4LFPMbMbzGwNLVfObmr10iAzW2Rm+WZ2YghzioiISCf4zMie3HX2Ufx71Xbu/tsKrYG2H94nBDjnHnDODQFuA+4MHt4C9HfOTQBuAZ42s657n2tmV5tZkZkVBQKBzgstIiIih+SSYwdy9dTBPP7uema/86HvOGEplOVsM9B6UZO+wWP78wxwDoBzrs45tyP49QJgDTB87xOcc4865/Kcc3m5ubkdlVtERERC6PbTR3LG6CP40csreXX5Vt9xwk4oy1khMMzMBplZEnAB8FLrN5jZsFZPzwRKg8dzgxMKMLPBwDBgbQizioiISCeJizN+ff54xvfrxtf+tIhFGyp8RworIStnzrlG4EbgNeAD4Fnn3Aozu9vMzg6+7UYzW2Fmi2m5fXlZ8PhUYGnw+PPAtc658lBlFRERkc6VkhjPY5fm0SMjhSsfL2LDjmrfkcKGRctgvLy8PFdUVOQ7hoiIiByENYHdfOnB/5DTJYm/XHc8mWmJviN1CjNb4JzL29dr3icEiIiISOwaktuFRy+ZxMbyGq6ZV0RdY5PvSN6pnImIiIhXRw/uzj3njuW9teXc/udlMb/EhjY+FxEREe+mj+/DxvJqfvmPEvplp3HLKf+zSEPMUDkTERGRsHDDyUPZUF7Nff8upV9WKufm9TvwSVFI5UxERETCgpnx4y+O4aPKWu74yzJ6d0vl+KE5vmN1Oo05ExERkbCRGB/HgxdPZEhuF659cgEl23b5jtTpVM5EREQkrHRNSWT2rMmkJsUza04h23fV+o7UqVTOREREJOz06ZbK7JmTqaiu54q5RVTXN/qO1GlUzkRERCQsje6Tye8unMCKj6q46Y+LaGqOjSU2VM5EREQkbH32yJ7cdfZR/OuD7dz9txUxsQaaZmuKiIhIWLvk2IFsKK/msbfW0b97OlecMMh3pJBSORMREZGwd8cZR7KpooYfvbySvlmpnHbUEb4jhYxua4qIiEjYi4szfn3+eMb368bNzyxi8cZK35FCRuVMREREIkJKYjyPXZpHbkYyVz5eyMbyat+RQkLlTERERCJGTpdk5sycQkOTY+ac+VRVN/iO1OFUzkRERCSiDO3RhUcvmcTG8hqumVdEXWOT70gdSuVMREREIs7Rg7tzz7ljeW9tOXf8eVlULbGh2ZoiIiISkaaP78PG8mp++Y8S+mWn8fVThvuO1CFUzkRERCRi3XDyUDaUV/Pbf5fSLzuNr0zq6zvSYVM5ExERkYhlZvz4i2P4qLKW2/+8lF6ZKRw/NMd3rMOiMWciIiIS0RLj43jw4okMzk3n2nkLKNm2y3ekw6JyJiIiIhGva0oic2ZNISUxnllzCtm+q9Z3pEOmciYiIiJRoU+3VObMnExFdT1XPl5EdX2j70iHROVMREREosboPpn87sIJLN9cxU1/XExTc+QtsaFyJiIiIlHls0f25AdnH8W/PtjGD/9vpe84B02zNUVERCTqXHrsQDbsqOb3b6+jf3Yal58wyHekdlM5ExERkaj07c8fyaaKGn748kr6ZKVy2lFH+I7ULrqtKSIiIlEpLs749fnjGde3Gzc/s4jFGyt9R2oXlTMRERGJWqlJ8fz+sjxyM5K58vFCNpZX+450QCpnIiIiEtVyuiQzZ+YUGpocs+YWUlXd4DtSm1TOREREJOoN7dGFRy6ZxPode7hmXhH1jc2+I+2XypmIiIjEhGMGd+eer4zjvbXl3P7npTgXnmugabamiIiIxIxzJvRhY3k19/6zhH7ZaXz9lOG+I/0PlTMRERGJKTd+Zigbyqv57b9L6Zedxlcm9fUd6VNUzkRERCSmmBk/+dIYtlTVcvufl9I7M4Xjhub4jvUJjTkTERGRmJMYH8eDF09kcG4618xbQOm2Xb4jfULlTERERGJS15REZs+cTEpiPDPnFLJ9V63vSIDKmYiIiMSwvllpzL5sMuV76rny8SLW79jDeY+867WoqZyJiIhITBvTN5PfXTiB5ZuruOix9yn8sJz7/lXqLY8mBIiIiEjMu+HphTQ72FxZA8C89zcw7/0NJCfEUfyjMzo1i66ciYiISMx761snc/b43sTHGQApiXFMH9+bt247udOzqJyJiIhIzOvRNYWM5ASanSM5IY66xmYykhPokZHS6Vl0W1NEREQEKNtdx4yjB3DRlP48PX8DAU+TAixc95U6WHl5ea6oqMh3DBEREZEDMrMFzrm8fb2m25oiIiIiYUTlTERERCSMqJyJiIiIhBGVMxEREZEwonImIiIiEkZUzkRERETCiMqZiIiISBgJaTkzs9PNrNjMVpvZ7ft4/VozW2Zmi83sbTMb1eq1O4LnFZvZaaHMKSIiIhIuQlbOzCweeAA4AxgFXNi6fAU97Zwb45wbD/wC+FXw3FHABcBRwOnAg8HPExEREYlqobxyNgVY7Zxb65yrB54Bprd+g3NuZ6un6cDH2xVMB55xztU559YBq4OfJyIiIhLVQrm3Zh9gY6vnm4Cj936Tmd0A3AIkAZ9pde57e53bJzQxRURERMKH9wkBzrkHnHNDgNuAOw/mXDO72syKzKwoEAiEJqCIiIhIJwplOdsM9Gv1vG/w2P48A5xzMOc65x51zuU55/Jyc3MPL62IiIhIGAhlOSsEhpnZIDNLomWA/0ut32Bmw1o9PRMoDX79EnCBmSWb2SBgGDA/hFlFREREwkLIxpw55xrN7EbgNSAemO2cW2FmdwNFzrmXgBvN7HNAA1ABXBY8d4WZPQusBBqBG5xzTaHKKiIiIhIuzDl34HdFgLy8PFdUVOQ7hoiIiMgBmdkC51zevl7zPiFARERERP5L5UxEREQkjKiciYiIiIQRlTMRERGRMKJyJiIiIhJGoma2ppkFgPWd8K1ygLJO+D6xQj/PjqefacfSz7Pj6Wfa8fQz7Vid8fMc4Jzb5wr6UVPOOouZFe1v6qscPP08O55+ph1LP8+Op59px9PPtGP5/nnqtqaIiIhIGFE5ExEREQkjKmcH71HfAaKMfp4dTz/TjqWfZ8fTz7Tj6Wfasbz+PDXmTERERCSM6MqZiIiISBhROWsHM+tnZm+Y2UozW2FmN/vOFOnMLMXM5pvZkuDP9C7fmaKBmcWb2SIz+z/fWaKBmX1oZsvMbLGZFfnOEw3MrJuZPW9mq8zsAzM71nemSGVmI4L/bn782GlmX/OdK9KZ2deDfy4tN7M/mllKp2fQbc0DM7NeQC/n3EIzywAWAOc451Z6jhaxzMyAdOfcbjNLBN4GbnbOvec5WkQzs1uAPKCrc+4s33kinZl9COQ557R+VAcxs8eBt5xzvzezJCDNOVfpOVbEM7N4YDNwtHOuM9b8jEpm1oeWP49GOedqzOxZ4BXn3NzOzKErZ+3gnNvinFsY/HoX8AHQx2+qyOZa7A4+TQw+9DeFw2BmfYEzgd/7ziKyL2aWCUwF/gDgnKtXMeswnwXWqJh1iAQg1cwSgDTgo84OoHJ2kMxsIDABeN9zlIgXvAW3GNgO/NM5p5/p4fkN8C2g2XOOaOKAf5jZAjO72neYKDAICABzgrfff29m6b5DRYkLgD/6DhHpnHObgV8CG4AtQJVz7h+dnUPl7CCYWRfgz8DXnHM7feeJdM65JufceKAvMMXMRnuOFLHM7Cxgu3Nuge8sUeYE59xE4AzgBjOb6jtQhEsAJgIPOecmAHuA2/1GinzB28NnA8/5zhLpzCwLmE7LXyR6A+lmdnFn51A5a6fguKg/A0855/7iO080Cd7WeAM43XOUSHY8cHZwjNQzwGfMbJ7fSJEv+LdonHPbgReAKX4TRbxNwKZWV8mfp6WsyeE5A1jonNvmO0gU+BywzjkXcM41AH8BjuvsECpn7RAcvP4H4APn3K9854kGZpZrZt2CX6cCpwCrvIaKYM65O5xzfZ1zA2m5vfG6c67T/7YXTcwsPTgBiOCtt1OB5X5TRTbn3FZgo5mNCB76LKCJVYfvQnRLs6NsAI4xs7Tgn/2fpWWceadK6OxvGKGOBy4BlgXHSAF82zn3ir9IEa8X8HhwhlEc8KxzTss/SDjpCbzQ8v9nEoCnnXOv+o0UFb4KPBW8FbcWmOU5T0QL/sXhFOAa31migXPufTN7HlgINAKL8LBbgJbSEBEREQkjuq0pIiIiEkZUzkRERETCiMqZiIiISBhRORMREREJIypnIiIiImFE5UxEQs7MnJnd2+r5N8zsBx302XPN7Csd8VkH+D7nmtkHZvbGPl4bbmavmFmpmS00s2fNrKeZnWRmh7REjJl9zczSDj+5iEQalTMR6Qx1wJfMLMd3kNaCGxu31xXAVc65k/f6jBTgZVq2JBoW3O7pQSD3MON9jZZNl9stuG6giEQ4lTMR6QyNtCzk+PW9X9j7ypeZ7Q7+epKZ5ZvZi2a21sx+ZmYzzGy+mS0zsyGtPuZzZlZkZiXBfUYxs3gzu8fMCs1sqZld0+pz3zKzl9jH6vRmdmHw85eb2c+Dx74HnAD8wczu2euUi4B3nXN/+/iAc+5N59yndhMwsx+Y2TdaPV9uZgODOxG8bGZLgsfON7ObaNnX742Pr9SZ2alm9m7wytxzwb1+MbMPzeznZrYQONfMbjKzlcHf8zMH+OciImFIOwSISGd5AFhqZr84iHPGAUcC5bSsJv9759wUM7uZlpXmvxZ830Ba9r0cQkuhGQpcClQ55yabWTLwjpn9I/j+icBo59y61t/MzHoDPwcmARXAP8zsHOfc3Wb2GeAbzrmivTKOBg5nw/nTgY+cc2cGM2Q656rM7BbgZOdcWfCK453A55xze8zsNuAW4O7gZ+wIXrHDzD4CBjnn6j7eIk1EIouunIlIp3DO7QSeAG46iNMKnXNbnHN1wBrg43K1jJZC9rFnnXPNzrlSWkrcSFr2wrw0uOXa+0B3YFjw/fP3LmZBk4E3g5seNwJPAVMPIu+hWAacErz6daJzrmof7zkGGEVLwVwMXAYMaPX6n1p9vZSW7ZEupuWKpYhEGJUzEelMv6Fl7FZ6q2ONBP9fZGZxQFKr1+pafd3c6nkzn77yv/c+dA4w4KvOufHBxyDn3Mflbs/h/Cb2soKWK20H8snvMygFwDlXQsuVvGXAj4K3UPdmwD9b/V5GOeeuaPV669/PmbRcpZwIFB7kuDoRCQMqZyLSaZxz5cCztBS0j33If8vN2UDiIXz0uWYWFxyHNhgoBl4DrjOzRPhkRmV6Wx8CzAemmVlOcHD9hUD+Ac55GjjOzM78+ICZTTWz0Xu970NaChNmNhEYFPy6N1DtnJsH3PPxe4BdQEbw6/eA44O3awmOUxu+d5Bgue3nnHsDuA3IBLocIL+IhBn9jUpEOtu9wI2tnj8GvGhmS4BXObSrWhtoKVZdgWudc7Vm9ntabn0uNDMDAsA5bX2Ic26Lmd0OvEHL1aqXnXMvHuCcmuAkhN+Y2W+ABlpuLd4MtJ6d+mdabrOuoOU2a0nw+BjgHjNrDp57XfD4o8CrZvaRc+5kM5sJ/DE4fg5axqCV8GnxwDwzywzmv885V9lWfhEJP+bc3ncDRERERMQX3dYUERERCSMqZyIiIiJhROVMREREJIyonImIiIiEEZUzERERkTCiciYiIiISRlTORERERMKIypmIiIhIGPl/l9iNeWeBv+kAAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -868,19 +896,17 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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Jc5W1/faD/v3TDufDDss7jZlZ6ynmjOa/AlcCVwMrShunfejSBY49Np3hPH8+rL9+3onMzFpHMd1HyyPiioiYGBFTqqeSJytzo0alobTHjMk7iZlZ6ymmKPxN0v+TtLGk9aunkicrczvtBDvu6KOQzKxjKaYofJO0T+EpYEo2TS5lqPagetiLp5+G117LO42ZWetosihExOfqmbZoi3Dl7rjjUnHwdRbMrKNosihI6irpB5LGZtP3siuqVbwBA2CffTzshZl1HMV0H10B7AL8KZt2yeYZaYfzm2/Ck0/mncTMbM0Vc0jqkIj4YsHjRyVNK1Wg9ubrX4eePdMO5z33zDuNmdmaKaalsELSltUPJG2Bz1eo0asXHHFEOjR1yZK805iZrZliisKPgHGSHpM0HngUOLO0sdqXqqp07ea//S3vJGZma6bJ7qOI+IekzwPbkK65/EpELC15snZk+HDYZJO0w/moo/JOY2bWcg22FCQNz24PB74GbAVsCXwtm2eZzp3T4akPPADz5uWdxsys5RrrPtoruz24numgEudqd0aNguXL05DaZmbtlaKdHWA/ePDgmDy5PE+o3nnn1GqYNCnvJGZmq5I0JSIGN7VeMSevnSapt5JrJE2VtF/rxOxYqqpg8mSYMSPvJGZmLVPM0UffioiFwH5Af+BE4OKSpmqnjjkmtRQ87IWZtVfFFAVltwcC10fEtIJ5VmCjjdIFeEaPhpUr805jZtZ8xRSFKZIeIhWFByWtA/grrwGjRsHMmTB+fN5JzMyar9GiIEnAT4Efk4a7+AToRupCsnoceiiss46vs2Bm7VOjRSHSoUl3R8TUiPgom/dBRLzQJunaoR490glsY8fCJ5/kncbMrHmK6T56RtKQkifpQKqqYPFiuPvuvJOYmTVPMUVhGKkwvC7pBUkvSnJLoRFDh8Jmm7kLyczan2KGzh5R8hQdTKdOcPzxcPHFMGcObLxx3onMzIpTzOU43wYGAsOz+58U87xKV1WVDku99da8k5iZFa+YM5p/BpwDnJvN6gqMLmWojmDbbWHXXX0im5m1L8X84v86cAjwMUBEzAbWaepJkq6TNFfSSw0s31vSAknPZ9NPmxO8PaiqgmnT4AXvgTGzdqKYorAsOzQ1ACStXeS2bwAOaGKdxyNip2z6ZZHbbTeOPhq6dHFrwczaj2KKwhhJfwb6SPoP4BHg6qaeFBETgPlrmK9d69sXDjwQbrkFVvgCpmbWDhSzo/lSYCxwB7A18NOI+EMrvf5XJE2T9ICkHRpaSdLJkiZLmjyvnV3FZtSodATSP/6RdxIzs6YVexTRi8DjwITsfmuYCmweEV8E/gA0eKpXRFwVEYMjYnC/fv1a6eXbxkEHQZ8+PmfBzNqHYo4++jYwETgcOJJ0Itu31vSFI2JhRCzO7t8PdJXUd023W27WWgu+8Q24805YtCjvNGZmjSumpfAj4EsRcUJEfBPYhXSI6hqRtFE24B6Sds2yfLCm2y1HVVXw6aepMJiZlbNiisIsoPA37iJgZlNPknQb8DSwjaRZkk6SdIqkU7JVjgRekjQNuAw4OtrbtUGLtPvusMUW7kIys/JXzDAX7wDPSrqHdFjqocBEST8EiIjf1PekiDimsY1GxB+BPzYvbvskpdbCL3+ZrrUwcGDeiczM6ldMS+F10k7g6l/x9wBzSCewNXkSmyVVVRCRDk81MytXak6PjaROQK/sms25GDx4cEyePDmvl18je+4JH34IL72UWg9mZm1F0pSIGNzUesUcfXSrpN7ZmcwvA69K+lFrhKw0VVXw8sswdWreSczM6ldM99H2WcvgMOB+YDOgqqSpOqiRI6FbNw97YWblq5ii0FVSV1JRuCciPqN2/4I1w3rrwcEHp+G0P/ss7zRmZqsrpij8GXgLWBuYIGlzILd9Cu3dqFEwbx48+GDeSczMVlfM2EeXRcSAiDgwkrdJl+i0FjjgANhgA3chmVl5avA8BUnHR8To6vMR6lHv+QnWuG7d4Jhj4Oqr4aOP0rhIZmblorGWQvV1E9ZpYLIWqqqCpUth7Ni8k5iZrapZ5ymUg/Z8nkK1CNhuO+jfHyZMyDuNmVWCVjlPQdIwSXdImp5NYyXt3WopK1T1sBePPw5vvpl3GjOzWg0WBUlfA64D7gOOBY4jnadwnaQD2yZex3X88el29Oh8c5iZFWqspfAj4LCIuD4ipkXE8xFxHel8hTUeOrvSbb457LVXOgqpnfXgmVkH1lhR2CgiptWdGREvABuWLlJluOQS2HVX+Oc/4dln07xx49J8M7O8NDZ09sctXGZFGDIEjjoKunZN11n49NM0DMaYMXknM7NK1uDRR5I+Il2TebVFwJ4RsV4pgzWkIxx9VG3cOBgxIu147tUrFYRhPi3QzEqg2KOPGmspHNrIskubH8nqGjYMjjgijYW0//4uCGaWvwaLQkSMb8sglWjcOHjoIdhwQ7jvPnjkEdh337xTmVklK2ZAPCuBceNq9yFcdhmsWAGHH57mm5nlpZhrNFsJTJpUuw9hxQrYZhtYvhwmTnQ3kpnlp+iWQnblNWslZ59d++XfuTOcey68/jrssEO+ucysshVzOc7dJb0MzMgef1HSn0qerMIceywMGgQXXOCT2cwsP8W0FH4L7A98AJCd0Da0lKEqUdeucM456US2Rx/NO42ZVaqiuo8iYmadWStKkKXinXACbLIJXHhh3knMrFIVUxRmStodCEndJJ1F1pVkrat7dzjrrHQE0lNP5Z3GzCpRMUXhFOBUYAAwC9gpe2wlcPLJ0LevWwtmlo9irtH8fkQcFxEbRkT/iDg+Ij5oi3CVaO214Ywz4P77YerUvNOYWaVp8sprki6rZ/YCYHJE3FOSVI3oSGMfNWTBgjS09r77+pKdZtY6WuXKa5nupC6jf2bTF4D1gZMk/W6NUlq91l0Xvv99uOMOmD497zRmVkmKKQpbAcMj4g8R8QdgX2A74OvAfqUMV8lOOy11JV10Ud5JzKySFFMUBgCFZzOvDWwSESuApSVJZfTtC6ecArfdls50NjNrC8UUhUuA5yVdL+kG4Dng0mzYi0dKGa7SnXlmOqnt4ovzTmJmlaKYo4+uBXYH7s6mPSPimoj4OCJ+VOqAlWzjjeGkk+DGG2Fm3dMHzcxKoNgB8ZYAc4D5wFaSPMxFGzn77DQW0v/8T95JzKwSFDMg3rdJl+V8EPhFdvvzIp53naS5kl5qYLkkXSbpNUkvSNq5edErw+abQ1UVXH01vPde3mnMrKMrpqVwGjAEeDsihgFfAuYV8bwbgAMaWT4C+Hw2nQxcUcQ2K9KPfwzLlsFvfpN3EjPr6IopCksiYgmApLUi4hVgm6aeFBETSN1NDTkUuCmSZ4A+kjYuJnSl2XrrdJW2P/0J5jf2iZqZraFiisIsSX1IO5kflnQPMLsVXnsAULj7dFY2bzWSTpY0WdLkefOKaaR0POedB4sXp0t3mpmVSjFHH309Ij6KiJ8D/wlcCxzWCq+t+l6ugQxXRcTgiBjcr1+/Vnjp9uff/g0OPTQVhYUL805jZh1Vo0VBUqfCHcURMT4i7o2IZa3w2rOAgQWPN6V1WiAd1k9+Ah9+CFd474uZlUijRSEiVgLTJG1Wgte+FxiVHYW0G7AgIuaU4HU6jCFDYL/90g7nTz7JO42ZdURdilhnY2C6pInAx9UzI+KQxp4k6TZgb6CvpFnAz4Cu2XOvBO4HDgReAz4BTmxB/opz/vkwdChccw384Ad5pzGzjqaYobP3qm9+RIwvSaImVMLQ2U0ZOhTefBNeew3WWivvNGbWHrTa0NnZl/9bQNfs/iTAl3/J0fnnw6xZcNNNeScxs46mmDOa/wMYC/w5mzWAdHiq5eSrX4XBg9NAecuX553GzDqSYs5TOBXYA1gIEBH/BPqXMpQ1TkqthTfegNtvzzuNmXUkxRSFpYWHoErqQgPnE1jbOfhg2HFH+O//hpUr805jZh1FMUVhvKTzgB6Svgr8FfhbaWNZUzp1SuctzJgBd92Vdxoz6yiKKQo/Jg2A9yLwHdKhpOeXMpQV56ij4POfhwsvTMNrm5mtqWKKQvXAdUdFxJERcXU0dRyrtYnOneHcc+G55+CBB/JOY2YdQTFF4RDg/yTdLOlr2T4FKxPHHw+bbQYXXODWgpmtuWLOUzgR2Iq0L+FY4HVJ15Q6mBWna1c45xx4+ml47LG805hZe1fU5Tgj4jPgAeB2YAqpS8nKxLe+BRttlPYtmJmtiWJOXjtA0g2kMYqOBK4hjYdkZaJ7dzjrLPjHP+CZZ/JOY2btWTEthRNIZzBvHRHfjIj7I8Ln0ZaZ73wH1l/frQUzWzPF7FM4OiLujoilAJL2kHR56aNZc/TqBWecAffdl45GMjNriaL2KUjaSdIlkt4CLgBeKWkqa5HvfQ96905nOZuZtUSDRUHS1pJ+KmkG8EfS9ZQVEcMi4g9tltCK1qdPKgx33JHOdDYza67GWgqvAPsAB0fEnlkhWNE2saylTj8devSAiy7KO4mZtUeNFYUjgHeBcZKulrQPoLaJZS3Vr1/a6XzrrWkUVTOz5miwKETEXRHxDWBb4DHgDGBDSVdI2q+N8lkLnHVWGgLjV7/KO4mZtTfFHH30cUTcEhEHAZsCz5MGybMytckm6YS2G25IV2gzMytWUUcfVYuI+RHx54gYXqpA1jrOOQdWrIBLL807iZm1J80qCtZ+DBqUBsu76iqYOzfvNGbWXrgodGDnngtLlsBvf5t3EjNrL1wUOrBttkkX4rn8cvjww7zTmFl74KLQwf3kJ7BoEfzBpxuaWRFcFDq4L3wBDj4Yfv/7VBzMzBrjolABfvITmD8frrwy7yRmVu5cFCrAl78M++4Lv/41fPpp3mnMrJy5KFSI88+H996Da6/NO4mZlTMXhQoxdCjssQdccgksW5Z3GjMrVy4KFUJKrYWZM+Hmm/NOY2blykWhguy/P+yyC1x8MSz3BVXNrB4uChVESkcivfYajBmTdxozK0cuChXm0ENhhx3SJTtXrsw7jZmVGxeFCtOpE5x3HkyfDvfck3caMys3JS0Kkg6Q9Kqk1yStdg0GSSdImifp+Wz6dinzWDJyJGy5JVx4IUTkncbMyknJioKkzsDlwAhge+AYSdvXs+pfImKnbLqmVHmsVpcuaQTVKVPgwQfzTmNm5aSULYVdgdci4o2IWAbcDhxawtezZqiqgoED4YIL3Fows1qlLAoDgJkFj2dl8+o6QtILksZKGljfhiSdLGmypMnz5s0rRdaK060bnH02PPkkTJiQdxozKxelLAqqZ17d36R/AwZFxBeAR4Ab69tQRFwVEYMjYnC/fv1aOWblOukk2HDDtG/BzAxKWxRmAYW//DcFZheuEBEfRMTS7OHVwC4lzGN19OgBZ54JDz8MEyfmncbMykEpi8Ik4POSPiepG3A0cG/hCpI2Lnh4CDCjhHmsHqecAuut59aCmSUlKwoRsRz4HvAg6ct+TERMl/RLSYdkq/1A0nRJ04AfACeUKo/Vb5114PTT4d57Ydq0vNOYWd4U7ezQk8GDB8fkyZPzjtGhfPghbL45jBgBf/lL3mnMrBQkTYmIwU2t5zOajfXWg1NPhb/+FV59Ne80ZpYnFwUD4IwzoHt3uOiivJOYWZ5cFAyA/v3h5JNh9Gh4662805hZXlwUrMZZZ6UB8371q7yTmFleXBSsxqabwoknwnXXwezZTa9vZh2Pi4Kt4pxzYMUKuPTSvJOYWR5cFGwVW2wBX/wi/OlPUDjM1LhxcMkl+eUys7bhomCr+f73YenSdFIbpIIwciQMGZJvLjMrvS55B7Dyc8IJcP31cNttMGcOTJoEP/xhGmJ72jTYYIM09eiRd1Iza20+o9nqNX067LYbLF7c8Do9etQWiPqm9ddffV6fPtC5c8syXXJJaq0MG1Y7b9y4VLTOPrtl2zSrFMWe0eyWgtVr7tx0Mtv3vw9//nM6THXLLeGDD2D+/HRbd3rhhdrlK1fWv10pnUHdnEKywQbQs2cqCCNHwpgxqTBUd2uNGdO2n41ZR+aiYKsp/LIdNgy++tXax0ce2fTzV66EBQtWLxr1FZPZs+HFF9P9jz9ueJvdu6fi0Ls37L8/bLOgY/+BAAAIWUlEQVQNvP566uqaOxcefxwGDICNN3a3ltmacPeRrSavbpqlS+tvgdQtJlOnwqxZqRtqxYrVt7PeerDJJo1PG22Urj5nVimK7T5yUbB2pboV893vwhVXwDXXpG6t2bMbnubMgeXLV99Wv35NF4/+/aFLE+1p7+uw9sD7FKzDqdutNWxY7eP99mv4eStXwvvvN144nn8e3ntv9X0hnTqlS5Y2Vji22sr7OqzjcEvB2o1S/yJfvjztn2iseMyevepJfdU6ZWf89O+furj+/d9h++2hb980bbDBqrd9+3rfh7Utdx+ZlciyZfDuu6sXi7//PR2BNWBA+sL/4IN0AaOG9OixeqGoWzzqLuvZMx3BVQx3a1khdx+ZlUi3brDZZmmqNm4cXH01/Od/pn0dN9+cvoyXL6/dUf7++7W3hferb99+u3bHekOqj8JqrAVSfX/gQDjqqNSNNXy4u7WsOG4pmK2huvs66j5urhUrUgujoeJR37z589MZ5w3p2TMd3bXllmk03HXXrZ169171cX3zmtNCaYpbMPlwS8GsjUyatGoBGDYsPZ40qWVFoXPn2l/9xVqxAj76qP7icddd8PTTsMMOqXWzYEHaqb5wYbq/aFHjBaU6U91C0dTjuvPWWSdtxychlje3FMw6sLqH8NbXelm5MhWG6iJROBU7b8GC+s8ZqatXr1QgunSBd95JRWrWLNh773QUV69eqXj06lX/VLhs7bWbPly4OTp6C8YtBbMK19ghvIVffJ061f6aHziwZa8VAZ9+2njxqPtYgjfeSOeLvPoqTJmSxtpaurT41+3evf6C0VgxaWjZdtuVZwumrYuVi4JZB9Xa3VqNkdJ+h54901AjTan+wq3eMX/99bWZli1LQ54sXrz6tGhR/fMLly1alE5YLFy2ZEnx72X4cFhrrZSjf3845ZRUfNZaa9Xb+uY197ahZV271u7DaevuNncfmVmbau0d88X47LPiC80DD6R9MDvvDDvumFouS5Y0fFt3Xn1nzzeXtGqRgLSPaPhweO65ln1W7j4ys7LUli2Yal27pmHb+/RpfL1x4+Cyy2pbMJde2vxMK1Y0XUiaW2iWLIHJk+Hhh1O2Un1O4JaCmRmQTwumudkaO2CgKcW2FHw5TjMzGm/B5KmwOP3yl+l25Mg0vxTcUjAzK2OtdfSRxz4yM7Ma7j4yM7Nmc1EwM7MaLgpmZlbDRcHMzGq4KJiZWY12d/SRpHnA2y18el/g/VaM01rKNReUbzbnah7nap6OmGvziOjX1ErtriisCUmTizkkq62Vay4o32zO1TzO1TyVnMvdR2ZmVsNFwczMalRaUbgq7wANKNdcUL7ZnKt5nKt5KjZXRe1TMDOzxlVaS8HMzBrhomBmZjUqoihIuk7SXEkv5Z2lkKSBksZJmiFpuqTT8s4EIKm7pImSpmW5fpF3pkKSOkt6TtJ9eWepJuktSS9Kel5S2QzjK6mPpLGSXsn+nX2lDDJtk31O1dNCSafnnQtA0hnZv/mXJN0mqXvemQAknZZlml7qz6oi9ilIGgosBm6KiB3zzlNN0sbAxhExVdI6wBTgsIh4OedcAtaOiMWSugJPAKdFxDN55qom6YfAYKB3RByUdx5IRQEYHBFldcKTpBuBxyPiGkndgJ4R8VHeuapJ6gy8A3w5Ilp6UmprZRlA+re+fUR8KmkMcH9E3JBzrh2B24FdgWXA/wLfjYh/luL1KqKlEBETgPl556grIuZExNTs/iJgBjAg31QQyeLsYddsKotfD5I2Bb4GXJN3lnInqTcwFLgWICKWlVNByOwDvJ53QSjQBeghqQvQE5idcx6A7YBnIuKTiFgOjAe+XqoXq4ii0B5IGgR8CXg23yRJ1kXzPDAXeDgiyiIX8DvgbGBl3kHqCOAhSVMknZx3mMwWwDzg+qy77RpJa+cdqo6jgdvyDgEQEe8AlwL/AuYACyLioXxTAfASMFTSBpJ6AgcCA0v1Yi4KZUBSL+AO4PSIWJh3HoCIWBEROwGbArtmTdhcSToImBsRU/LOUo89ImJnYARwatZlmbcuwM7AFRHxJeBj4Mf5RqqVdWcdAvw17ywAktYDDgU+B2wCrC3p+HxTQUTMAH4FPEzqOpoGLC/V67ko5Czrs78DuCUi7sw7T11Zd8NjwAE5RwHYAzgk67+/HRguaXS+kZKImJ3dzgXuIvX/5m0WMKuglTeWVCTKxQhgakS8l3eQzL7AmxExLyI+A+4Eds85EwARcW1E7BwRQ0ld4SXZnwAuCrnKduheC8yIiN/knaeapH6S+mT3e5D+s7ySbyqIiHMjYtOIGETqdng0InL/JSdp7exAAbLumf1ITf5cRcS7wExJ22Sz9gFyPYihjmMok66jzL+A3ST1zP5v7kPaz5c7Sf2z282Awynh59alVBsuJ5JuA/YG+kqaBfwsIq7NNxWQfvlWAS9m/fcA50XE/TlmAtgYuDE7MqQTMCYiyubwzzK0IXBX+h6hC3BrRPxvvpFqfB+4JeuqeQM4Mec8AGR9418FvpN3lmoR8aykscBUUvfMc5TPcBd3SNoA+Aw4NSI+LNULVcQhqWZmVhx3H5mZWQ0XBTMzq+GiYGZmNVwUzMyshouCmZnVcFEwawWSBpXbKLxmLeGiYGZmNVwUzFqZpC2yAeiG5J3FrLlcFMxaUTakxB3AiRExKe88Zs1VEcNcmLWRfsA9wBERMT3vMGYt4ZaCWetZAMwkjWll1i65pWDWepYBhwEPSlocEbfmHcisuVwUzFpRRHycXQzoYUkfR8Q9eWcyaw6PkmpmZjW8T8HMzGq4KJiZWQ0XBTMzq+GiYGZmNVwUzMyshouCmZnVcFEwM7Ma/x/97L77ZMAxQQAAAABJRU5ErkJggg==\n", 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