Skip to content

Instantly share code, notes, and snippets.

Embed
What would you like to do?
Applying Recommendation Algorithms Directly to an Image Itself
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# このノートブックは?\n",
"\n",
"【やること】\n",
"\n",
"- 画像データに直接レコメンドアルゴリズムを適用してみる\n",
"\n",
"【目的】\n",
"\n",
"- レコメンドアルゴリズムの性質を視覚的に理解する\n",
"\n",
"【方法】\n",
"- 使用データ\n",
" - 謎のカボチャ画像(白黒)\n",
"- 採用アルゴリズム\n",
" - Funk SVD"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"from PIL import Image\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'1.0.1'"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.__version__"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 準備\n",
"- データの読み込み\n",
"- 関数の定義"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## データの読み込み"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"pilimg = Image.open('data/pumpkin/pumpkin.jpg').convert('L')"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [],
"source": [
"npimg = np.array(pilimg) / 255"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"(766, 796)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"npimg.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### scikit-surprise用フォーマットへの変換"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {},
"outputs": [],
"source": [
"from surprise import Reader\n",
"from surprise import Dataset"
]
},
{
"cell_type": "code",
"execution_count": 111,
"metadata": {},
"outputs": [],
"source": [
"df_matrix = pd.DataFrame(npimg)\n",
"df_stacked_image = df_matrix.stack().reset_index()"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>level_0</th>\n",
" <th>level_1</th>\n",
" <th>0</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.972549</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0.972549</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0</td>\n",
" <td>2</td>\n",
" <td>0.968627</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0</td>\n",
" <td>3</td>\n",
" <td>0.964706</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0</td>\n",
" <td>4</td>\n",
" <td>0.960784</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" level_0 level_1 0\n",
"0 0 0 0.972549\n",
"1 0 1 0.972549\n",
"2 0 2 0.968627\n",
"3 0 3 0.964706\n",
"4 0 4 0.960784"
]
},
"execution_count": 93,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_stacked_image.head()"
]
},
{
"cell_type": "code",
"execution_count": 95,
"metadata": {},
"outputs": [],
"source": [
"reader = Reader(rating_scale=(0,1))\n",
"data = Dataset.load_from_df(df_stacked_image, reader)"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [],
"source": [
"dataset = data.build_full_trainset()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 関数の定義"
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [],
"source": [
"def create_matrix(algo, df_matrix):\n",
" arr_index, arr_column = np.meshgrid(df_matrix.index, df_matrix.columns)\n",
" rec_output = np.array([algo.predict(uid, iid).est for uid, iid in zip(arr_index.T.reshape(-1), arr_column.T.reshape(-1))])\n",
" df_result = pd.DataFrame(rec_output.reshape(df_matrix.shape), index=df_matrix.index, columns=df_matrix.columns)\n",
" \n",
" return df_result"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 生データの可視化"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x13853b050>"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 299.279x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.matshow(npimg, cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Matrix Factorization出力値の可視化\n",
"\n",
"【やること】\n",
"\n",
"- 因子数(n_factors)を変えて出力結果を可視化する\n",
"\n",
"【方法】\n",
"\n",
"- GridSearchで最適な因子数を探る\n",
"- 最適値,それより大きい時,小さい時について出力Matrixを可視化する。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 最適パラメータ(d=500)"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"[Parallel(n_jobs=5)]: Using backend LokyBackend with 5 concurrent workers.\n",
"[Parallel(n_jobs=5)]: Done 30 out of 30 | elapsed: 7.6min finished\n"
]
}
],
"source": [
"from surprise import SVD\n",
"from surprise.model_selection import GridSearchCV\n",
"\n",
"# We'll use the famous SVD algorithm.\n",
"algo_class = SVD\n",
"param_grid={'n_factors': (1, 5, 10, 50, 100, 500)}\n",
"\n",
"gs = GridSearchCV(algo_class, param_grid,\n",
" measures=['rmse', 'mae'], \n",
" refit=True, \n",
" cv=5, n_jobs=5,\n",
" joblib_verbose=1)\n",
"gs.fit(data)"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x13539ff90>"
]
},
"execution_count": 103,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pd.DataFrame(gs.cv_results).plot(x='param_n_factors', y='mean_test_rmse')"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x138574d10>"
]
},
"execution_count": 104,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEHCAYAAACncpHfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8GearUAAAgAElEQVR4nO3deXxV5b3v8c8ve2dmCBlAIEBAQIWCCBFB0WI9tOih0vbiEcpptfWUnlNtvfa059p7a09P733dezgdHCq3t7ZOHfXU1kqtFouU1llCBZU5SoDgAASIkDBk+N0/1kqyMyAbkrCTrO/79core6/17J3nwZjvfob1LHN3REQketJSXQEREUkNBYCISEQpAEREIkoBICISUQoAEZGIiqe6AqeisLDQS0pKUl0NEZFeo7CwkBUrVqxw97ltz/WqACgpKaGsrCzV1RAR6VXMrLCj4xoCEhGJKAWAiEhEKQBERCKqV80BiEjXq6uro7KykqNHj6a6KtJJWVlZFBcXk56enlR5BYBIxFVWVtK/f39KSkows1RXR06Tu1NVVUVlZSWjR49O6jUaAhKJuKNHj1JQUKA//r2cmVFQUHBKPTkFgIjoj38fcar/HSMRAI+t282ft+5NdTVERHqUSATA3avKeejlnamuhoj0YHfccQe1tbWn9drf/va3bNy4sYtr1P0iEQCZ6Wkcr29MdTVEpAdTAPRRGbE0jikARHqsiooKzj33XK6//nrGjx/P4sWLWblyJZdccgnjxo3j5Zdfpqamhs9+9rNMnz6dCy64gMcee6z5tZdeeilTp05l6tSpPP/88wCsXr2a2bNns2DBAs4991wWL17Mie6AeNddd/HWW29x+eWXc/nllwPw1FNPMXPmTKZOnco111zD4cOHAbj11luZMGECkydP5itf+QrPP/88y5cv56tf/SpTpkzhjTfe6PBnzJ49m1tuuYXS0lLOO+881qxZwyc+8QnGjRvH17/+9eZyH/vYx5g2bRoTJ07knnvuaT5+ovp0hvWmW0KWlpb66ewFtOieF6lvbORX/3hxN9RKpHfbtGkT5513HgD/9rsNbHzrvS59/wnDBvCvH534vmUqKioYO3Ysr7zyChMnTuTCCy/k/PPP595772X58uXcf//9TJgwgQkTJvD3f//3HDx4kOnTp/PKK69gZqSlpZGVlcW2bdtYtGgRZWVlrF69mvnz57NhwwaGDRvGJZdcwre//W1mzZrVYR2a9horLCxk3759fOITn+DJJ58kNzeXpUuXcuzYMW688UYuvvhiNm/ejJlx8OBB8vLyuP7665k3bx4LFiw4YRtnz57NRRddxNKlS7nzzjtZunQpa9euJT8/n7PPPpv169dTUFDA/v37yc/P58iRI1x44YX8+c9/xt07rM83vvGNdj8n8b9nEzNb6+6lbctG4jqAzPQ0amvqU10NEXkfo0ePZtKkSQBMnDiRK664AjNj0qRJVFRUUFlZyfLly/nOd74DBMtXd+7cybBhw7jppptYt24dsViMrVu3Nr/n9OnTKS4uBmDKlClUVFScMAASvfjii2zcuJFLLrkEgOPHjzNz5kwGDhxIVlYWN9xwA/PmzWPevHmn1Marr74agEmTJjFx4kSGDh0KwJgxY9i1axcFBQXcddddPProowDs2rWLbdu2sW/fvg7r01mRCAANAYkk52Sf1LtTZmZm8+O0tLTm52lpadTX1xOLxfj1r3/NOeec0+p13/zmNxkyZAjr16+nsbGRrKysDt8zFotRX5/cB0F3Z86cOfzyl79sd+7ll1/m6aef5pFHHuHuu+9m1apVp9zGxPYltnH16tWsXLmSF154gZycHGbPns3Ro0fftz6dEYk5gMz0mAJApJf7yEc+wve///3mcfxXXnkFgOrqaoYOHUpaWho//elPaWhoOK3379+/P4cOHQJgxowZPPfcc5SXlwNQU1PD1q1bOXz4MNXV1Vx11VXcfvvtrF+/vt1rO6O6uppBgwaRk5PD5s2befHFF9+3Pp0VjQCIaxWQSG932223UVdXx+TJk5k4cSK33XYbAF/4whd48MEHOf/889m8eTO5ubmn9f5Llixh7ty5XH755RQVFfHAAw+waNEiJk+ezMyZM9m8eTOHDh1i3rx5TJ48mVmzZvG9730PgIULF/Ltb3+bCy644ISTwMmYO3cu9fX1nHfeedx6663MmDED4IT16axITAL/90df46kN71D29TndUCuR3q2jSUPpvU5lEjgyPYBjdeoBiIgkisQkcGY8xrEGBYCIwMc//nG2b9/e6tjSpUv5yEc+0iXvf+ONN/Lcc8+1OnbzzTfzmc98pkvevytFIgAywjkAd9emVyIR17TEsrssW7asW9+/K0VmCAjQSiCRE+hNc4FyYqf63zFSAXBcw0Ai7WRlZVFVVaUQ6OWabgiTeB3EyURiCKi5B1DXCMn/24hEQnFxMZWVlezdqy3Te7umW0ImKyIBEAPgWP3pXSAi0pelp6cnfQtB6VuiMQSUHg4BaQ5ARKRZUgFgZnPNbIuZlZvZrR2czzSzh8PzL5lZSXg8w8zuN7PXzGy9mc1OeM3q8D3XhV+Du6hN7WTENAksItLWSYeAzCwGLAPmAJXAGjNb7u6Jdz+4ATjg7mPNbCGwFLgW+ByAu08K/8A/aWYXunvTX+LF7n7ql/aeoqYegAJARKRFMj2A6UC5u7/p7seBh4D5bcrMBx4MHz8CXGHBgvsJwCoAd98DHATaXY7c3ZrmADQEJCLSIpkAGA7sSnheGR7rsIy71wPVQAGwHrjazOJmNhqYBoxIeN394fDPbXaCK7TMbImZlZlZ2emuUshovg5Ak8AiIk26exL4PoLAKAPuAJ4Hmv4KL3b3ScCl4denOnoDd7/H3UvdvbSoqOi0KtFqGaiIiADJBcBuWn9qLw6PdVjGzOLAQKDK3evd/RZ3n+Lu84E8YCuAu+8Ovx8CfkEw1NQtmoeAdCGYiEizZAJgDTDOzEabWQawEFjepsxy4Lrw8QJglbu7meWYWS6Amc0B6t19YzgkVBgeTwfmAa93QXs6pCEgEZH2TroKyN3rzewmYAUQA+5z9w1m9i2gzN2XA/cCPzWzcmA/QUgADAZWmFkjQS+haZgnMzyeHr7nSuBHXdiuVjQEJCLSXlJXArv7E8ATbY59I+HxUeCaDl5XAZzTwfEaggnhM0J7AYmItBeJK4Ez1AMQEWknEgGgvYBERNqLRACkxwwzXQgmIpIoEgFgZmTE0rQVhIhIgkgEAIQ3hlcAiIg0i04ApMcUACIiCSITAMEQkCaBRUSaRCYAMtPTNAksIpIgOgEQ1xCQiEiiyARAhiaBRURaiUwAZMbTOK45ABGRZpEKAPUARERaRCsAtBeQiEizCAVATLuBiogkiFAA6DoAEZFEkQmADA0BiYi0EpkAyIynaQhIRCRBdAIgPaYegIhIgsgEgPYCEhFpLTIBkBlPo9GhXsNAIiJAkgFgZnPNbIuZlZvZrR2czzSzh8PzL5lZSXg8w8zuN7PXzGy9mc1OeM208Hi5md1lZtZFbepQZnp4X2BdDCYiAiQRAGYWA5YBVwITgEVmNqFNsRuAA+4+FrgdWBoe/xyAu08C5gDfNbOmn/mD8Py48Gtu55ry/jJiCgARkUTJ9ACmA+Xu/qa7HwceAua3KTMfeDB8/AhwRfiJfgKwCsDd9wAHgVIzGwoMcPcX3d2BnwAf63Rr3kdmenBjeG0JLSISSCYAhgO7Ep5Xhsc6LOPu9UA1UACsB642s7iZjQamASPC8pUnec8ulRlv6gFoIlhEBCDeze9/H3AeUAbsAJ4HTukvsJktAZYAjBw58rQrkhHXEJCISKJkegC7CT61NykOj3VYxsziwECgyt3r3f0Wd5/i7vOBPGBrWL74JO8JgLvf4+6l7l5aVFSUTJs6lBnXEJCISKJkAmANMM7MRptZBrAQWN6mzHLguvDxAmCVu7uZ5ZhZLoCZzQHq3X2ju78NvGdmM8K5gk8Dj3VFg05EQ0AiIq2ddAjI3evN7CZgBRAD7nP3DWb2LaDM3ZcD9wI/NbNyYD9BSAAMBlaYWSPBJ/xPJbz1F4AHgGzgyfCr2zQPAelqYBERIMk5AHd/AniizbFvJDw+ClzTwesqgHNO8J5lwAdOoa6d0twD0IVgIiJAhK4EVg9ARKS1yARA0ySw5gBERAIRCoCgqVoFJCISiFwA6DoAEZFAhAKgaQhIASAiAlEKgHQNAYmIJIpMALTsBqpJYBERiFAApKUZ6THTEJCISCgyAQDBPICGgEREApEKgIy47gssItIkUgGQGU/TlcAiIqHIBcBx7QUkIgJELAAy1AMQEWkWqQDIjMfUAxARCUUsADQJLCLSJFIBoCEgEZEWkQoATQKLiLSIWADE1AMQEQlFKgB0IZiISItIBUBmPE1bQYiIhKIVAOlp2gxORCSUVACY2Vwz22Jm5WZ2awfnM83s4fD8S2ZWEh5PN7MHzew1M9tkZl9LeE1FeHydmZV1VYPeT0YspgAQEQmdNADMLAYsA64EJgCLzGxCm2I3AAfcfSxwO7A0PH4NkOnuk4BpwOebwiF0ubtPcffSTrUiSZnpGgISEWmSTA9gOlDu7m+6+3HgIWB+mzLzgQfDx48AV5iZAQ7kmlkcyAaOA+91Sc1PQ9My0MZGT1UVRER6jGQCYDiwK+F5ZXiswzLuXg9UAwUEYVADvA3sBL7j7vvD1zjwlJmtNbMlJ/rhZrbEzMrMrGzv3r1JVPfEMsIbw+taABGR7p8Eng40AMOA0cA/m9mY8Nwsd59KMLR0o5ld1tEbuPs97l7q7qVFRUWdqoxuDC8i0iKZANgNjEh4Xhwe67BMONwzEKgCPgn8wd3r3H0P8BxQCuDuu8Pve4BHCcKiW2WGPYBjdboWQEQkmQBYA4wzs9FmlgEsBJa3KbMcuC58vABY5e5OMOzzIQAzywVmAJvNLNfM+icc/zDwemcbczIj83MA2PzOoe7+USIiPd5JAyAc078JWAFsAv7T3TeY2bfM7Oqw2L1AgZmVA18GmpaKLgP6mdkGgiC5391fBYYAz5rZeuBl4Pfu/oeubFhHSksGkR4znn+jqrt/lIhIjxdPppC7PwE80ebYNxIeHyVY8tn2dYdPcPxN4PxTrWxn5WTEuWDEIJ5/Y9+Z/tEiIj1OpK4EBph5dgGv766murYu1VUREUmpyAXAJWMLaXR4abuGgUQk2iIXAFNG5JGVnqZ5ABGJvMgFQEY8jQtL8jUPICKRF7kAgGAYaOu7h9l76FiqqyIikjKRDICLzy4AUC9ARCItkgEwcdhABmTFeUHzACISYZEMgFiaMWNMgSaCRSTSIhkAEAwD7dxfS/kebQshItEU2QCYd/4wstNj3L2qPNVVERFJicgGQGG/TK67uITH1r/FtnfVCxCR6IlsAAAsuWwMOekx7nh6W6qrIiJyxkU6APJzM/jMJaP5/atvs/mdlN2pUkQkJSIdAAD/cOlo+mfGueOP6gWISLREPgDycjL47KzR/GHDO7y+uzrV1REROWMiHwAAn501mgFZce5YuTXVVREROWMUAMDA7HSWXDaGlZv2sH7XwVRXR0TkjFAAhK6/ZDR5Oencrl6AiESEAiDULzPO5y87m9Vb9rJ2x4FUV0dEpNspABJ8euYoCnIzNBcgIpGgAEiQmxnnHz94Ns9s28fL2/enujoiIt0qqQAws7lmtsXMys3s1g7OZ5rZw+H5l8ysJDyebmYPmtlrZrbJzL6W7Humyt/PGEVR/0y+98ctqa6KiEi3OmkAmFkMWAZcCUwAFpnZhDbFbgAOuPtY4HZgaXj8GiDT3ScB04DPm1lJku+ZEtkZMb4w+2xefHO/bhgjIn1aMj2A6UC5u7/p7seBh4D5bcrMBx4MHz8CXGFmBjiQa2ZxIBs4DryX5HumzKLpIxkyIJPb/7gVd091dUREukUyATAc2JXwvDI81mEZd68HqoECgjCoAd4GdgLfcff9Sb4nAGa2xMzKzKxs7969SVS387LSY9x0+VjWVBzg2XL1AkSkb+ruSeDpQAMwDBgN/LOZjTmVN3D3e9y91N1Li4qKuqOOHfq7C0cwbGAW331KvQAR6ZuSCYDdwIiE58XhsQ7LhMM9A4Eq4JPAH9y9zt33AM8BpUm+Z0plxmN88YpxrNt1kNVbzkzPQ0TkTEomANYA48xstJllAAuB5W3KLAeuCx8vAFZ58LF5J/AhADPLBWYAm5N8z5RbMK2YEfnZfE9zASLSB500AMIx/ZuAFcAm4D/dfYOZfcvMrg6L3QsUmFk58GWgaVnnMqCfmW0g+KN/v7u/eqL37MqGdYX0WBpf/NA4XttdzcpNe1JdHRGRLmW96ZNtaWmpl5WVndGfWd/QyBXf+zM5GXF+/8VZpKXZGf35IiKdZWZr3b207XFdCXwS8VgaN18xjk1vv8eKDe+kujoiIl1GAZCE+VOGM6Yol9tXbqWxsff0mERE3o8CIAmxNOO//s14tr57mN+/9naqqyMi0iUUAEn620lDGT+kH3es3EqDegEi0gcoAJLU1At4Y28Nv1v/VqqrIyLSaQqAUzB34lmce1Z/7nx6G/UNjamujohIpygATkFamnHLnPFs31fDo6/0qAuXRUROmQLgFH14whA+MHwAd63aRp16ASLSiykATpGZ8eU549m1/wi/XluZ6uqIiJw2BcBpuPycwZw/Io/vryrneL16ASLSOykATkNTL2D3wSM8XLbr5C8QEemBFACn6bJxhUwbNYhlq8o5WteQ6uqIiJwyBcBpMjP+ec543nnvKA+9vDPV1REROWUKgE6YeXYBF43OZ9nqN9QLEJFeRwHQCWbBdQF7Dx3jZy/uSHV1REROiQKgk2aMKeCSsQX8vz+/Qe3x+lRXR0QkaQqALvDlOePZd/g4P3lBvQAR6T0UAF1g2qh8Pji+iB/++Q0OH1MvQER6BwVAF7llzngO1Nbx4PMVqa6KiEhSFABdZMqIPK44dzD3/OVN3jtal+rqiIiclAKgC90yZzzVR+q479ntqa6KiMhJJRUAZjbXzLaYWbmZ3drB+Uwzezg8/5KZlYTHF5vZuoSvRjObEp5bHb5n07nBXdmwVPjA8IF8eMIQ7n1mO9W16gWISM920gAwsxiwDLgSmAAsMrMJbYrdABxw97HA7cBSAHf/ubtPcfcpwKeA7e6+LuF1i5vOu/ueLmhPyt0yZzyHjtXz42ffTHVVRETeVzI9gOlAubu/6e7HgYeA+W3KzAceDB8/AlxhZtamzKLwtX3aeUMH8LeThnLfs9s5UHM81dURETmhZAJgOJC45WVleKzDMu5eD1QDBW3KXAv8ss2x+8Phn9s6CAwAzGyJmZWZWdnevXuTqG7q3fw346ita+CeZ9QLEJGe64xMApvZRUCtu7+ecHixu08CLg2/PtXRa939HncvdffSoqKiM1Dbzhs/pD8fnTyMB56rYN/hY6mujohIh5IJgN3AiITnxeGxDsuYWRwYCFQlnF9Im0//7r47/H4I+AXBUFOf8aUrxnGsvoEv/fIV9h5SCIhIz5NMAKwBxpnZaDPLIPhjvrxNmeXAdeHjBcAqd3cAM0sD/o6E8X8zi5tZYfg4HZgHvE4fMnZwP/79E5NZu+MAV975F/6ytXcMX4lIdJw0AMIx/ZuAFcAm4D/dfYOZfcvMrg6L3QsUmFk58GUgcanoZcAud08cEM8EVpjZq8A6gh7Ejzrdmh7m7y4cwfKbZpGfm8Gn73uZ//PEJt1CUkR6DAs/qPcKpaWlXlZWlupqnLIjxxv4n7/fyC9e2hncS3jhBYwsyEl1tUQkIsxsrbuXtj2uK4HPgOyMGP/745P4weKpbN97mKvueobH1rWdRhERObMUAGfQlZOG8sTNl3LuWf25+aF1fPVX66nR7qEikiIKgDOseFAODy2ZwZc+NJZH/lrJR+9+lg1vVae6WiISQQqAFIjH0vjyh8/hF/8wg5pj9Xx82fPc/9x2etN8jIj0fgqAFJp5dgFP3nwZl40v5N9+t5F/eLCM/do+QkTOEAVAiuXnZvCjT5fyzY9O4Jlt+7jyzr/w/Bv7Ul0tEYkABUAPYGZcf8loHr3xYnIz4yz+8Ut896kt1DfomgER6T4KgB5k4rCBPP7FWVwzrZjvryrn2ntepPJAbaqrJSJ9lAKgh8nJiPMfC87nzoVT2PLOIa668xmefO3tVFdLRPogBUAPNX/KcJ740qWMLurHP/38r3ztN69x5HhDqqslIn2IAqAHG1mQwyP/OJN//ODZ/PLlncxf9ixb3jmU6mqJSB+hAOjh0mNp3Hrlufz0hunsr6nj6ruf5Wcv7tA1AyLSaQqAXuLScUU8efOlXDSmgK//9nX+6Wd/5WCtrhkQkdOnAOhFivpn8sD1F/I/rjqPpze/y1V3PsOaiv2prpaI9FIKgF4mLc343GVj+PU/XUx6PI1rf/gCd67cRkOjhoRE5NQoAHqpycV5PP7FWVx9/jBuX7mVT/7oRd6uPpLqaolIL6IA6MX6Z6Vzx8IL+O415/Pa7mquvPMZ/rjx3VRXS0R6CQVAH/BfphXz+BdnMTwvm8/9pIx/fex1jtbpmgEReX/xVFdAusaYon785gsX8x9/2MK9z27nT1v2MmVEHiUFOYwsyKWkIIdRBbkU9svAzFJdXRHpARQAfUhmPMZt8yYwa2wh9z23nVd2HeDxV98icX44NyPWKhCCgMihpCCXswZkkZamcBCJCgVAH3T5uYO5/NzBAByvb6TyQC079teyY18NFVW17KiqYcu7h1i56V3qGlrSISOexqj8HEYlhMOoglxGFeQwPC+beEwjhiJ9SVIBYGZzgTuBGPBjd//3NuczgZ8A04Aq4Fp3rzCzxcBXE4pOBqa6+zozmwY8AGQDTwA3uy5v7XIZ8TTGFPVjTFE/OKf1uYZG562DR9hRVcuO/TXsqKqlYl/w/dnyfRyta9mOOp5mFA/Kbg6EloDIoXhQDlnpsTPcMhHprJMGgJnFgGXAHKASWGNmy919Y0KxG4AD7j7WzBYCSwlC4OfAz8P3mQT81t3Xha/5AfA54CWCAJgLPNk1zZJkxNKMEfk5jMjPYRaFrc65O3sOHWsOhB37W3oPf91xgEMJN7M3g2EDs8NgaN97yMlQR1OkJ0rm/8zpQLm7vwlgZg8B84HEAJgPfDN8/Ahwt5lZm0/0i4CHwvcYCgxw9xfD5z8BPoYCoMcwM4YMyGLIgCwuGlPQ6py7c6C2joqqGnZUhQFRVUtFVQ0rNrzb7raWRf0zWwIhP4dRhWFA5OcyMCf9TDZLRBIkEwDDgV0JzyuBi05Uxt3rzawaKAAS7214LUFQNJWvbPOewzv64Wa2BFgCMHLkyCSqK93NzMjPzSA/N4OpIwe1O//e0Tp2hoGwI+w1VFTV8sy2vTzy3rFWZfNy0lv3GPJzKCkMHhfkasWSSHc6I31zM7sIqHX310/1te5+D3APQGlpqeYIeoEBWel8YPhAPjB8YLtzR443sHN/bXPvoaKqlp1VtazdcYDfrW+9YqlfZpyRCYFQUpDDyPxcSgpzGNJfK5ZEOiuZANgNjEh4Xhwe66hMpZnFgYEEk8FNFgK/bFO++CTvKX1QdkaMc87qzzln9W937lh9A5UHjrTqPVRU1bD57UM8teFd6hPSITOexqimQChoPaw0LC9LK5ZEkpBMAKwBxpnZaII/0guBT7Ypsxy4DngBWACsahr/N7M04O+AS5sKu/vbZvaemc0gmAT+NPD9TrZFernMeIyzi/pxdlG/dufqGxp5u/pou2GlHVU1PLNtL8fqW69YGtG0nDU/7D2EvYjiQdlkxrViSQSSCIBwTP8mYAXBMtD73H2DmX0LKHP35cC9wE/NrBzYTxASTS4DdjVNIif4Ai3LQJ9EE8DyPuKxtOYVS5eOa32usTFcsVRV0673UFZxgMMdrFgqKUzoPYQBMTJfK5YkWqw3Lb0vLS31srKyVFdDehF3Z3/N8ebeQtvew4HaulblB/fPpKT5WoemuYdcRhbkMDBbK5akdzKzte5e2va4Pu5In2ZmFPTLpKBfJtNGtV+xVH0kccVSy5LWP2/dy55DrVcsDWq7Yinhmod8rViSXkgBIJE2MDudScUDmVTcfsVS7fH6YMXSvpZew879NaypOMBj698isfPcPzPevKfSqPB70/PB/TO1Ykl6JAWAyAnkZMQ596wBnHvWgHbnjtU3sGv/EXbur2kOiB37a9n49nus2PBOqxVLWelpjMpvCoSWYaVRBTkMy8smpnCQFFEAiJyGzHiMsYP7MXZwxyuW3jp4tGX7jIRN+P6ytfWKpfSYMWJQy3zDqIReRPGgHDLiWs4q3UcBINLF4rE0RobbbHe0YundQ0ep2BcMJzUFQ8W+Wl7evp+a4y038kkzGJaX3fGkdH4O2RlaziqdowAQOYPS0oyhA7MZOjCbmWe332OpquZ4cyDs2N8y9/D7197mYJsVS0MGZLablG6aexiQpRVLcnIKAJEewswo7JdJYb9Mpo3Kb3e+urau1bBSU0D8acte9h6qbFU2Pzej1XBSYu9hUE66ViwJoAAQ6TUG5qQzOSePycV57c7VHAtWLLVc4xA8fnn7fn67bnfrFUtZ8fbbdufnUFIYrFhSOESHAkCkD8jNjHPe0AGcN7T9iqWjdcEeS4kXwO2oqmXD7mr+8Po7NCSsWMpOj4V7LAWB0DyslK8VS32RAkCkj8tKP/GKpbqGxpa7wiUExPZ9NazeupfjbVcs5bcEQssmfLkMz8vWiqVeSAEgEmHpsbRwAjkXKGp1rrHReee9owl7LLWExEtvVrVbsTR8UMKKpfyw91AYhIVuGdozKQBEpENpacawvGyG5WVz8dmtz7k7+w4fT7inQ0vv4fFX269YOmtAVsukdGFLQIwqyKG/ViyljAJARE6ZmVHUP5Oi/pmUlrRfsXSw9njzjqyJvYenN+9h3+HWeywV9ssIh5RyW+3MWlKQS55WLHUrBYCIdLm8nAzycjI4f0T7FUuHj9Wzs6r1/koV+2p58c0qfvNK6/tCDciKNw8jlbTZgK9IK5Y6TQEgImdUv8w4E4YNYMKwE61YCjbga775z/5aXuwLDpAAAArqSURBVNtdzZMnWLHUcr1DeNvQghyGDtSKpWQoAESkxwhWLPVn7OD2twyta2hk94EjLVdIh5vwvbG3hj9t3svxhpYVSxmxNEbkZ7falbUpKIYPyiZdtwwFFAAi0kukx9IoKcylpLD9iqWGcMVS0xXSFVU17Ai303jhzSpqE1YsxdKM4XnZba6UDnoPIyK2YkkBICK9XtMf9eF52Vzc5py7s/fwseab/SRe7/DYut28d7T1LUNbrVhqs5VGv8y+9Sezb7VGRKQNM2Nw/ywG98/iwhOsWEq8Qrpp7mHlpnfZd/h4q7KF/TLbzDu09B7ycjLOVJO6jAJARCItLyeDKTkZTDnBiqXEYGi6fegLb1Txm7+2XrE0MDs9nITOTbjxTzApXdSvZ65YSioAzGwucCcQA37s7v/e5nwm8BNgGlAFXOvuFeG5ycAPgQFAI3Chux81s9XAUOBI+DYfdvc9nW2QiEhX6ZcZZ+KwgUwc1v6WoUfrGti1P/EK6SAo1u86yO9ffYuEBUvkZMRaBUJi72HogKyU3TL0pAFgZjFgGTAHqATWmNlyd9+YUOwG4IC7jzWzhcBS4FoziwM/Az7l7uvNrABIvERwsbuXdVVjRETOlKz0GOOG9GfckBOvWKpoM6y09d1DPL1pT+sVS/G05r2VRuYHF8I1hcXwvGzi3bhiKZkewHSg3N3fBDCzh4D5QGIAzAe+GT5+BLjbgv7Oh4FX3X09gLtXdVG9RUR6rNYrllpraHTerj7SZn+lICCeK6/iSF3rFUvFg7IZVZDLsk9e0OXbZiQTAMOBXQnPK4GLTlTG3evNrBooAMYDbmYrCNZtPeTu/5HwuvvNrAH4NfC/3BN3LRcR6XuCP+rBPZ8vHtv6nLuz99CxdpPSuw8eITej66dsu3sSOA7MAi4EaoGnzWytuz9NMPyz28z6EwTApwjmEVoxsyXAEoCRI0d2c3VFRFLHzBg8IIvBA7KYPrr9iqWulszg0m5gRMLz4vBYh2XCcf+BBJPBlcBf3H2fu9cCTwBTAdx9d/j9EPALgqGmdtz9HncvdffSoqKijoqIiMhpSCYA1gDjzGy0mWUAC4HlbcosB64LHy8AVoXDOSuASWaWEwbDB4GNZhY3s0IAM0sH5gGvd745IiKSrJMOAYVj+jcR/DGPAfe5+wYz+xZQ5u7LgXuBn5pZObCfICRw9wNm9j2CEHHgCXf/vZnlAivCP/4xYCXwo25on4iInID1pnnX0tJSLyvTqlERkVMRzr2Wtj2uLfFERCJKASAiElEKABGRiFIAiIhEVK+aBDazvcCO03hpIbCvi6vT06nN0aA2R0Nn2rwPwN3ntj3RqwLgdJlZWUcz4H2Z2hwNanM0dFebNQQkIhJRCgARkYiKSgDck+oKpIDaHA1qczR0S5sjMQcgIiLtRaUHICIibSgAREQiqs8HgJnNNbMtZlZuZremuj5dxczuM7M9ZvZ6wrF8M/ujmW0Lvw8Kj5uZ3RX+G7xqZlNTV/PTZ2YjzOxPZrbRzDaY2c3h8T7bbjPLMrOXzWx92OZ/C4+PNrOXwrY9HG7Vjpllhs/Lw/Mlqaz/6TKzmJm9YmaPh8/7dHsBzKzCzF4zs3VmVhYe69bf7T4dAAk3tL8SmAAsMrMJqa1Vl3kAaHthx63A0+4+Dng6fA5B+8eFX0uAH5yhOna1euCf3X0CMAO4Mfzv2ZfbfQz4kLufD0wB5prZDGApcLu7jwUOADeE5W8ADoTHbw/L9UY3A5sSnvf19ja53N2nJKz5797fbXfvs1/ATGBFwvOvAV9Ldb26sH0lwOsJz7cAQ8PHQ4Et4eMfAos6Ktebv4DHgDlRaTeQA/yV4J7c+4B4eLz595zgvh0zw8fxsJyluu6n2M7i8I/dh4DHAevL7U1odwVQ2OZYt/5u9+keAB3f0H54iupyJgxx97fDx+8AQ8LHfe7fIezqXwC8RB9vdzgcsg7YA/wReAM46O71YZHEdjW3OTxfDRSc2Rp32h3AvwCN4fMC+nZ7mzjwlJmtDe+FDt38u93dN4WXFHF3N7M+ucbXzPoBvwb+q7u/Z2bN5/piu929AZhiZnnAo8C5Ka5StzGzecAed19rZrNTXZ8zbJa77zazwcAfzWxz4snu+N3u6z2AZG5o35e8a2ZDAcLve8LjfebfIbyN6K+Bn7v7b8LDfb7dAO5+EPgTwRBIXnifbWjdruY2h+cHAlVnuKqdcQlwtZlVAA8RDAPdSd9tbzN33x1+30MQ9NPp5t/tvh4AydzQvi9ZDlwXPr6OYIy86finw5UDM4DqhG5lr2HBR/17gU3u/r2EU3223WZWFH7yx8yyCeY8NhEEwYKwWNs2N/1bLABWeThI3Bu4+9fcvdjdSwj+f13l7ovpo+1tYma5Zta/6THwYeB1uvt3O9UTH2dgYuUqYCvBuOn/SHV9urBdvwTeBuoIxv9uIBj7fBrYBqwE8sOyRrAa6g3gNaA01fU/zTbPIhgnfRVYF35d1ZfbDUwGXgnb/DrwjfD4GOBloBz4FZAZHs8Kn5eH58ekug2daPts4PEotDds3/rwa0PT36ru/t3WVhAiIhHV14eARETkBBQAIiIRpQAQEYkoBYCISEQpAEREIkoBICISUQoAkW4Wblm8Mtzm99pTfG2JmX2yu+om0aYAkD4tYfuAVLoAwINtfh8+xdeWAKcUAD2kzdIL6EIw6fHCnT//AKwFphJcKflp4CvAR4Fs4Hng8+7uZraa4CrhWQRXTG8Fvg5kEOwTs9jd3zWzbwKjCa7CHAncQnCfgSsJ9lX5qLvXnaBOFcCD4c9PB65x980dlBsc1q0I2A78F2DxCeo9Fvh/YdkG4Brg58B54WsfJNj3/QdAKcH9Eb7s7n8ys+uBTwD9gBjBNgoPAwMINn38J3d/5mT/1hIt6gFIb3EO8H/d/TzgPeALwN3ufqG7f4Dgj+m8hPIZ7l7q7t8FngVmuPsFBBuM/UtCubMJNhy7GvgZ8Cd3nwQcAf72JHXa5+5TCf4gf6WjAh5s7PUPwDNhD+CN96n3z4FlHtz85WKCrT5uTXjt7cCNwdv6JGAR8KCZZYWvnwoscPcPEvQaVrj7FOB8gkAUaUVdRektdrn7c+HjnwFfArab2b8Q3Cgln6Bn8LuwTOJQSzHwcLibYgbBp+kmT7p7nZm9RvDJ+Q/h8dcIhl/eT9NupGsJPn0n6/K29Q57LcPd/VEAdz8KkLjVdWgW8P2wzGYz2wGMD8/90d33h4/XAPeFu6f+1t0VANKOegDSW7Qdq3Tg/xJ84p0E/IhgY7AmNQmPv0/wqXsS8Pk25Y4BuHsjUOctY6KNnPwD0rHwe0MSZYHgHr8nqXdnNLfZ3f8CXEYwlPWAmX26i36G9CEKAOktRprZzPDxJwmGdQD2hTeIWdDxy4Bgj/imvdKve59yZ0LTH/tW9Xb3Q0ClmX0MmlcO5QCHgP4Jr3+GYA4BMxtPMHexpe0PMbNRwLvu/iPgxwTDQyKtaAhIeostBDeBvw/YSDDuPohgi+R3CIY8TuSbwK/M7ACwimDiNyXc/aCZ/YiO6/0p4Idm9i2Cbb6vIdgGusHM1gMPEPQefhAOWdUD17v7sQ6GimYDXzWzOuAwwaS5SCtaBSQ9XrgK6PFw0lREuoiGgEREIko9AJH3YWaP0n7I6L+5+4oOyn4GuLnN4efc/cbuqp9IZygAREQiSkNAIiIRpQAQEYkoBYCISEQpAEREIur/A1ppeNrh1QKJAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pd.DataFrame(gs.cv_results).plot(x='param_n_factors', y='mean_test_mae')"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"{'rmse': {'n_factors': 500}, 'mae': {'n_factors': 500}}"
]
},
"execution_count": 105,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gs.best_params"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x14ba8f350>"
]
},
"execution_count": 120,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 299.279x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df_rec_output = create_matrix(gs, df_matrix)\n",
"plt.matshow(df_rec_output.values, cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## d=1"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<surprise.prediction_algorithms.matrix_factorization.SVD at 0x14b770910>"
]
},
"execution_count": 112,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svd = SVD(n_factors=1)\n",
"svd.fit(dataset)"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x14b2535d0>"
]
},
"execution_count": 115,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 299.279x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df_rec_output = create_matrix(svd, df_matrix)\n",
"plt.matshow(df_rec_output.values, cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## d=5"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<surprise.prediction_algorithms.matrix_factorization.SVD at 0x14b3f46d0>"
]
},
"execution_count": 118,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svd = SVD(n_factors=5)\n",
"svd.fit(dataset)"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x14b6d68d0>"
]
},
"execution_count": 119,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 299.279x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df_rec_output = create_matrix(svd, df_matrix)\n",
"plt.matshow(df_rec_output.values, cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## d=100"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<surprise.prediction_algorithms.matrix_factorization.SVD at 0x14b290350>"
]
},
"execution_count": 116,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svd = SVD(n_factors=100)\n",
"svd.fit(dataset)"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x14b3bcd90>"
]
},
"execution_count": 117,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAARAAAAECCAYAAAA2FIiFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8GearUAAAgAElEQVR4nOy9b4x163nWd635f95zbJ8c41pWHJogIhBITZxYhAgUpYlAJEWED2lIisAgI0ttIoFoBU4rlbZqJegHIKgIajW0SQU4IZASRaGQmiBE1QRwEkIgUAx1RCInThzn2MfvmXnfmb36YfZvz29d8+yZOee87znbYR5pNHuvvdbz537u+7qv+36etdY0z3Puy325L/fl1ZS9N7oD9+W+3JfP3nIPIPflvtyXV13uAeS+3Jf78qrLPYDcl/tyX151uQeQ+3Jf7surLvcAcl/uy3151eUNB5Bpmn7HNE3/cpqmj0zT9P4nWO9fmqbp49M0/aSOvTBN0w9O0/Sv1v8/Z318mqbpz6378BPTNH3Jq2zz86Zp+qFpmv75NE3/bJqmP/y0252m6WSapn84TdM/Wbf5366Pf8E0TT+yrvu7pmk6Wh8/Xn//yPr3z381Y13XtT9N049N0/T9r0eb0zR9dJqmfzpN049P0/SP18ee9pw+P03T90zT9C+mafqpaZq+/HVo89etx8jfp6Zp+iNPu91XVeZ5fsP+kuwn+ddJfk2SoyT/JMlveEJ1f0WSL0nykzr2PyZ5//rz+5P8qfXnr03yt5JMSX5zkh95lW2+I8mXrD+/Kcn/m+Q3PM1219c+t/58mORH1nV9d5JvXB//i0n+0/Xn/yzJX1x//sYk3/UaZPxHk/yVJN+//v5U20zy0SS/qo497Tn9jiR/aP35KMnzT7vNgY38XJJ///Vs9879e70a2iKcL0/yt/X9W5N86xOs//MLQP5lknesP78jyb9cf/6fk3zT6LzX2P7fTPLbXq92kzxI8qNJvizJLyY5aDkn+dtJvnz9+WB93vQq2npnkg8l+aok379W3qfd5ghAnppsk7wlyf/XfX099SjJb0/yf78R+nuXvzc6hPncJP9W339mfexplbfP8/yx9eefS/L2p9WPNU1/Vy4ZwVNtdx1K/HiSjyf5wVyyul+e5/l8UO+mzfXvLyZ56yttM8mfTfLHkqzW39/6OrQ5J/k70zR9eJqm962PPU3ZfkGSX0jyv65Dtf9lmqZnn3KbXb4xyV9df349271TeaMB5A0r8yVUP5V9/NM0PZfkryf5I/M8f+pptzvP88U8z1+cS1bwm5L8+idZf5dpmn5nko/P8/zhp9nOoPzWeZ6/JMnXJPnmaZq+wj8+Bdke5DIM/gvzPL8ryWdyGTo8zTY3ZZ1D+l1J/lr/9jTbfSXljQaQn03yefr+zvWxp1V+fpqmdyTJ+v/Hn3Q/pmk6zCV4/OV5nv/G69Vukszz/MtJfiiX4cPz0zQdDOrdtLn+/S1JPvEKm/otSX7XNE0fTfLBXIYx3/aU28w8zz+7/v/xJN+bS7B8mrL9mSQ/M8/zj6y/f08uAeV1mc9cAuWPzvP88+vvr1e7dy5vNID8oyRfuM7eH+WSrn3fU2zv+5K8Z/35PbnMUXD896+z2b85yYuiincu0zRNSb49yU/N8/ynX492p2l62zRNz68/P5PLnMtP5RJIvn5Lm/Tl65P83bU3u3OZ5/lb53l+5zzPn5/LOfu78zz/3qfZ5jRNz07T9CY+5zI38JN5irKd5/nnkvzbaZp+3frQVyf550+zzSrflKvwhfpfj3bvXl6PRMstSaKvzeVqxb9O8l89wXr/apKPJXmcS0/y3lzG3R9K8q+S/F9JXlifOyX58+s+/NMk736Vbf7WXNLKn0jy4+u/r32a7Sb5D5L82LrNn0zyX6+P/5ok/zDJR3JJgY/Xx0/W3z+y/v3XvEY5f2WuVmGeWpvruv/J+u+foSuvw5x+cZJ/vJbv/5Hkc552m+u6ns0lS3uLjj31dl/p37TuwH25L/flvrzi8kaHMPflvtyXz+JyDyD35b7cl1dd7gHkvtyX+/Kqyz2A3Jf7cl9edXkqADI9pRvk7st9uS+7VZ44gEzTtJ/LJaWvyeWNZN80TdNvuOWa9930+9Mo/660+Ua1e9/mr6w2t5WnwUB+U5KPzPP8b+Z5fpTLnYpfd8s1b4RA/l1p841q977NX1ltDsvTAJA37Mae+3Jf7svrW574RrJpmr4+ye+Y5/kPrb//viRfNs/zt9R578saSY+Pj7/0N/7G3+jfNp/neV58f1LlF37hF/K2t73tFV2jHYGLYy439fUXf/EX89a3vnVxbte5bT5GxznW/7t88pOfzAsvvLC1bzfV7e+r1Wprfzm+t7eXaZry4osv5vnnn8/e3tJH9dxuG4vP4/Oo/z72S7/0S/mcz/mcre1sq3N0fFt7LvM85xOf+EReeOGFa2NxvchkW5vb6kY/eryvRndfS/nwhz/8i/M8Dxs8GB18jeVON/bM8/yBJB9Iki/90i+df/iHfzh7e3sL4a9Wl3eKj4R/cXGR/f39oeJdXFxkb2/vmvK+2nJxcZHVapXHjx/n4uJi8939xXj29/eH/aaP5+fnWa1W2d/fz97eXlarVc7PzzcG6oIMPMbVarU57/z8fNG/1WqVi4uLBeju7+9nmqaNPKyUHOd6l3mec3FxkSSb3z71qU9t5MBY6AdjODo6yuHhYfb397O/v58HDx5s5mG1Wm1kMk3T5vokOTs7u9buwcHBRk7ImrroO/8X26sldx8/PDy8du3h4eHCwA8ODhZy48/zjI4xds+r5X9wcJDDw8McHx8vZHJwcJCjo6NFv92O59pjTrIY/9Mu9G1/f/+nt53zNEKYV3WDXBsbytZKb4H7M8VecMQYXk3BkK1Ao4k0yAEmSa4Zr5Ue4/Q4DBz8R2EZk48DHiMmglxtbP5zf0fnovSMw+P0NQYly7098cHBwUIO9Jc2+po2KOSwrU0D6UiGPi/JAuwpHtdIHp7P7id1TtO0AO8kCzmO2KMZXus2dTbQP81yF5B64gxknufzaZq+JZdPodpP8pfmef5nt13niWzlAhSa1rXw8f4I2gzltZbDw8M8fvw4BwcHGwU1sLg/9BGW4km318E4Hz9+vFAOxoviefwHBwcLI0qSR48ebWRo5WyZuX/ut42JfvH5/Px8MwYruY256wAkmsEk2cgNgzYLoh3mrcHOhsi4+Ly/v79hpa1DjBkDhh0gT8Y7YkqjeXOdnnf65vMBNMbGWFs3rTN2JHY4Pb93MfCWwyspd7n2aYQwmef5B5L8wCu5xmGAvyfXDcEC5n97wz7nNYwlyaXiQ91t6PYUVnCHUfQBgzETOD8/v+ZlmtpacdvT9Vgx2puo7siLWfZ8Xq1WOTw8XBgUfW5gHIVMZhUYuefH4R7swHJ1vciOzxigZdDA3eGM68OQaYdx0u8Ry7TRE7rwu1kjwOvx0mYzvwbxBg/PuXXjrnr9WvT/LoxnZ3aitiCTMRXvcMVlFNI8iX4xcY6Pm+Z23xhLK7G9kuk2bXX/W7E6kTliai1LH7dheIwNHu5P97mB21738ePHm7Y7DHUYSFv+3+GOx+YcCOdhoMwHhc+j5CXHG+A7RHA/WxbNOLod68qofw2aDRA4gv6t296FsjMAklxXGhSEMqJuLeBtxvxaSxvLqC2zlQ5B7IW6v6auePau09dbUSmEQ1ZCK3bnUDyGNgwSxQZk/20LZZqZOTdDPSOP5vAB2XisDXzN0LqMPH6DZuuWQWkkbxvuCLxHOTvLwZ9HCWHX5XrMYjz3r1dpuV37/XXqx43lJiWhtFcZeZenJeBmBI73W7noY9N+1zEyjDagDotG3rnDmeRKmUf1dH+6btfvVQiX9pY+5v732Bze8R3Q87GWdxvWCDy7/wa6lo3r7PE5p2PW031x/R16GVA9zi7bHMTouEPKJ82wX2t5KjmQV1vsVTohllyP527yPk8LSFCINlQXU1QnPW+qsxNkzUhGVNbUmz+SkO5Xe+s2KJ/j77fJwuNyApREKvW4/67b+Z/ubwOcjxsYfdz94LP718eaHTGvBg/r3yhMHCV2m8n4eHv07peZj3Vh14CDslMAkowFauSnjATaE/8kig3V+yU6qWelMSDw3X0bZdrxZl5JauNqcOG4mRCrC/yOdzcAuQ1TbXs6x+LbgJPxetmyE8f+3P97rtzH1epyfwx7NzwfANSIUVg29I058mqLcx4e80guo356RcUg6T09R0dHQ51t9uwy0mlW/t6IEOa2shMA4gmx4THBt1HPbXU+CWFTB0uT7Xnn+XKDEu2h2A4DRvmCeZ4Xhmyaa4Nv5sAKT8fYyVVSDqP3CkoDs9nNaPXASdPOadj42ksyRrdpdtX5nRFLoPT+E+qxASLvXhFqcBjN64j90C+ONYC4XZbf+U57yPDw8DAHBwebpeLOr/DZrGNbjsjj3yUQ2QkA8WR2vDjyTi6mmdsU4kkUPKKXcttbWQFGCtx97FUYX+t9EckVy2HPh8fo8ZuON+COWE9ypbg2aHvjDgsMfK4/ySKngVF5+dPMsh2GxzDy0iMQ6uTwKKzpEGekJ528dp3e89PgeXFxkfPz800/vBOVzw1Ao/xNF4Co5+z1Lre1uRMAQietaC2wTmh5Qjif8rSQ2m11aMDxbQppumtjsnICGg00NmwA1ku/pu4oqA0NxXei0gynV0+QvT1fMxAfc1vNYNxX+ttgR18MBiPjZ3wjRmqjHY3RLA7dsAMwQI7kNwrFrLfIwZ8po7DOc9t62jmxnt/Xs9zW3k4AiCfXxZNqwxsJ0gIfZb1fa0EBDg4ONnFuK5/bHSUqKR16UFr5UJzkKoZniRVjsaECQg2uI0Cyl+daG2L3vwHHBtbXOEfhPngO22hH1N39HTkKruU489KA4f+0ZdZnx9UhH86iE5mea28QNAMcOTGchveJNJvr+5kMHk8qNH9SZScAJFnSV4qV7zbU9jWmxU+iX0zo48ePN6EMv7nYU7UHom8oJxQfCry/v7/YvWiF94oU9dCOvWX3xwYL+Iy8tutx/TZq54AITVzoz2gvimVFP9wHy84sBCDyuQZr5qKZicGq2cI23bH+0Q4yGfUX8HYSle+AUsvdTKTDqgYn5556fnap7MQ+ECtRslQW/9aTPDLS9phPorSic2zbio/j9/ZCnSCmr51P4VyPA8XES3Ftt28jaBBuOY7kOTrH4NOy9f0tzRbMAEYgR32dHPaYu4+jebfcGwjtgOibxzOaF8vY1xkovXlvNAcdVjq/1Oc3U+tivXs9y212tBMMBCG3EC1oA8M2w7VH7YTYa+mbs+f2TN0H2rbHchydXN++3AnWPs/JOo+zcxCuqxXV+0JMvTvnNApnOjHsPvi6Ubjic32egayL5xaWZgCwFzdQd9LZ/eV3L/1u2+UMmFl+zdq2hWFul5WX/s0hp9sdydfz8UatvtzW5k4ASJempKNjI2G3wJ9UMUVFgTrube/YlJt6/NerD510NQPpvA59MO1vhmGDtqe0gY5WNHyTG2MxJedmOjOlDom4rj1/j89tsOxswCKM6et9nZ0Kdfu37mOzVbdHm7A97/HxKozn0aEM9Z6fny82021jHDeNh/Ik7yp/0mUnQhjKyKPzf0Rf21gpTxI8qB+P0nS0qa3pb99ENep/K0Z75jZIH7c37vNGStfMxQ8G8v0vPBzHwOmY30BKHsIbqAyy1OXjZnI9dpd+bIHHsc3BGEgAzm3z5cQ4+za82oUhd51mihzzf19vp8bxDo+2lR7fLoLIzjCQ9hoW2CiGvenzky6jJ3/Rr16rd7hgpYEt9E5TEqkNRNRvj+QlylEYNaLko9L7EvoGwV51gKnQV5KotLe/v39tA533ghhYPb/NctpI+kYynzsKJUdt+KlnzXqawfk8j9Ng4CXWzjEBmtYLh1eW+U1Ozg7zjQpd7lp2BkB6oigNJm+EML3LcLSq0EZhNpDkmoJ2DG2PtM3T0b6XKnt1oEGD/jqRuC2kYCxmB2YL3gbeoOli5sI42kP7GrezrfTvNzmRXgmzobdeNTtBBp2Y9X9kYWCibTsEQPXo6GjBXkfMyzrfemQdedLM+kmUnemRjcUK2Mg9CmFcXMeTLM2GTIHpJ/+doLM3ZpwHBweb8zoh2ErSS39u03TYBmKQI+xAjo7VYVMOU7jO4MFvPUeWiXMN7ZkdljWz7GSwz90Wgm2j/8ingarDCIrvbWogYX64nrnpZ5D4WDsX5O3rR3M8Ck9G2953sewMA2maiiI2M7ktbGkFflKFPjjBaHBritvjauPkWHvWprs3xcptlE2x/ccYGmgMTqMVhZHXaxkb1ABIG4zvcvVY7ZH7RjfOMaPoOd323QbbG+uabbSXdztmYp67HgMyYO6Ojo429XuePKZtt2wYeEdj3LWyMwBiRU6u7zZ9pYJ8GoK3wXnZsMFvFIo1sNBHK7dDBSuU4/xRmOTjyfVlU9r3fwPfyPP7z8eS5Y5XvjerGXlV5OfQC/DoxyQa9Bqgem5Hd9m2HLiWvnJNL+dyHfX29a7X8+D593FuqBu1cZuOWj92lYnsTAhD6Ti9EfmudTzpwmqDKTSK0lTXnzvMGVFlipdKHeL4bs6m0q28ZgAGNve5QcPsxV545I2TbO4w7XDBskjGoQ2fbUANmKb6DWbbHIzHb13psIL+I6fOCfl7r4g5JDEImmF5dYuVLY97NGejcpMz3aVyq6VN0/SXpmn6+DRNP6ljL0zT9IPTNP2r9f/PWR+fpmn6c9PlS7V/YpqmL3klnTFYbItj36jShk/p/vVWbD6jdFaqDmP6Wp/bTMSA0MudnVxtozQ4OUdjI2pFNyOwMfs2dfpuoLEB+7M3WXUOoZmbmd/I4Dtxyu+j8bjNZnZ9fq8gOfFq1ue7bpNsloN9O79lcRcHZ8Du0GmXyl1c9f+W5HfUsfcn+dA8z1+Y5EPr78nlC7W/cP33viR/4c4dKS/6RgPGqIy8h4EiGT/5iuLEW+cqesydt6CtjucNAPyhrG10DSI2xq7XBuJVBDMNDIzPzZCo2/X1KoflaFbS13HM4xjJucGSuumTl6CbPXbdhDgwIcIeVlnoby83O/ncf9scUZfRnO1iubVX8zz//SS/VIe/Lsl3rD9/R5LfrePfOV+WH07y/DRN73hSnX2jixXcNNwgYqVsQ7ZxOTThtzai3lNiWu/8i/MUncCFSjuE8MauHpe/G+jsAV1Pt5Nc34bf17a83A+Ojb6b6SA/y5nPyNdtuHQIZbDmO/XP87yo01vUmbe+T6jDLWRCCMyT638llFebRH37PM8fW3/+uSRvX3/e9mLtj+VXQHG8y/fk6p0iyfU4uT2ck41dMIhk+Z6U5CpRaO/Y9RhYuGaeL5+Y1h6XPnWM32EQ9fhxAt4XY1k4PKIte+dkGQp6Y9zh4eHwZjp7Yp9vb841nWfhv+emwcPFQDtaFbKMDJBmk/xnDwish7/RCsxN5S7J1jeyvOZVmHme52maXnGANunl2r/6V//q19qN16W0UvHfuw4pVtam5vzWCu8VjG0h0Gip1cZJG73s7Nvik+tb5kc5G/cLFpSMN8Y5LNgWr/t3+tTso2VmBtf7aywX3w9E8XU2/M7ZuB7LyPU0m7EjaFblcVheryY032XwSF49gPz8NE3vmOf5Y+sQ5ePr43d6sXaSzHq59rvf/e5515GW2Hf0IuxRHN6xexvVKP4enW/mcRMld1I1ybWwBfl6ByXHehWE33wefYGJjPaBNMtwP11vh1IjcMLQO0EMqDSI2ZA7zByt/oyYiMcAUzC7sTyaWXlsOBXPj/Mov5LKq83MfF+S96w/vyfJ39Tx3z9dlt+c5EWFOjeWXQaPZLla0EzDS3Uo0OimM59zcXGRs7OzxUOKDAKdP+g9B1bczq1AoR22jMKCNjR7f7eNgfvGuGT8CEK+d4g2Ar9Rope2/N3jdl89Fs+P5dLfu173rUEYZ8GzcPnrGwQ7r9E5rc4H7bquv5JyKwOZpumvJvnKJL9qmqafSfInkvzJJN89TdN7k/x0km9Yn/4DSb42yUeSPEzyB+/akc8GwY48l5OUnNPenNIhihNwI4bR9L7BhHMNYJ1DMCvgut6bMLreoYYNZfSHgVF3cpnT4Dhed/QsFC9ncyzJ5nZ4n0+/LDc/zKhBa6RTHptZQYeZnS/qZV9kR5/9bl2DfbNR+rmrqyqvtNwKIPM8f9OWn756cO6c5Jtfa6d2tWD4zSRaca0cnRdwXIyCGhA4pxN4nen3ncHs4jSLcV3Oudw1hve9L2ZVtEEfOJdzRnsnDBT8xvUjD43cthlb51I6XPIcjPIxBhH/7zZ6LgG6lp3l3G362K808Eh2aCt78tnFQsw6nBsYUegRxd+mZB2HO9lpMMEAMeKm1ZzvO2zpU/fByu0+OUTxJjjfsu5EsvvM810NDu4bdTYjMgASlnQS0kxkxNaamTSIjFaqXL/DqJ4/g77ZaIeKe3t7m9Wv3qtz11Cmw9RdLDsFIKOya6DiFRj6Zgo7z/Nis5KLl2kpreCj2/rtwX0Nfegl32S5vOswwayCZCjsosHLbZ2fn+fRo0ebeN/9evTo0aYPfm8NQGIjt5zou0FitFTbwOr/o/0wfvaKZdry8Vx2zsJ7Qlq2/G5gdOjSy9T8zhyM9GBUOkm7i2UnAMTeqemdDcUxagOL4057lCddTMGttGdnZ5v2tj3/w4lVeyxvvDL972Qq9eDtCSfIPwAElhlA0A8uMmvAyEe37NNvnjp2fn6es7OzhWKTDDYjIIfBcerz6oQZiGXTidLOO3gn6Ghe+Pzo0aNFfsXL8ACMZUtfkJWZ5ohNenNYMzovy7PHBR0xSPVYKQ6TOzezSw51ZwDk4cOHC8H0Bh4nHXszlCeLcz0p7Vm3vT/2toL3ffz48Sbn0NSc+qx4/UQz+oTBU58z+QBLhxXJlcEDIP0IQo8dQ6EPTkIaIDqJacOiLy+//PLGEJx89Rv7qO/w8DCPHz9evB8WduY6G3TbYNqrT9PyKW5eVjYIG6RZ6eI9u9SBbNr5ID/vI3F/6AvyH+VCvNXfwOlXeIz2rFCYY8bk3c03gav13E6qQ7z+3AzPjuSmshMAcn5+nhdffPFakm+U6PJE2zMYsZPlPRFNMSn8TqzKOQCKPRfGfXp6usgBNI01cNCPTja2x2nlN4PBUKxwXvF4/PjxtWRke0tvmUe2nd/YlmuhnsePH+fTn/70Jkxxe2dnZ4vcx8nJyUZeLClz/tHR0cY4OmnrNlF+wMo5BMCK77387EL/DdS+lhvfABK+W25tdOhJ54QcFvpmReYLp+PxOE/kdyz3dvdeend45qVwh32WgfWMa0dM3TIcheFddgJAVqtVPvOZzwwTV/7fLMHnJtcz3fy1UFv5UNYGkDYqlNB5g1baXl1xfJ9kQ6sBLgAAkGhP2OGEvR3K6wSqk4NJNsrI+PHelNGeBhSdAoA8fPhwmDCFlVGHE8q+T8V9NlBO0+U7f3tHqUMNZNJ37sIqWl6tX8yxWerh4WHOzs4WANcA4nCGurwa0zkk+sL8Jsnx8XGSZRgJsFrHW05mQ8z/KDdjvbUDoZjJNWjYMdsJHx4e5tGjR58dAHJxcZFPfepTC0HYKBtYGo3xSvYuFkyXjil9gxQhThuxqbqN1YbvOnt8nGcDtyfDoHy9jdHvnLW3tuGaKnsru9s7OzvbjJM6aKeZlMOv8/PzvPzyy5nnecMK8JLn5+c5PT1dAMre3l6Oj4/z8ssvLzyek6wOP/qBQsxr/zEWCuyx3xboOWjPCyg9evRok9CkbgN8Jzub2veytgGKEGae5w2AuN88tcwOzuGG8zk+z/U0M7ejbB1sxmfmY3ZuUELnbio7AyCf+MQnroUoo63M/oywvJrA73iTFpCFbA9nqm2v1kuNjx49WiiNw4H2Jk0dm+oyic4feBLNgMx0ehnXybltOYPk+t29BgfLz4DksOqll17arMb4uouLi82xs7OznJycbNrCi9n4RyzHRumwATnZ+G10fvcKMmkjsqFwzHdKowPUb4ZgHXM/qRcGyVjct6Ojow1oO8RADr1V3qFYA4hDF4fvzslYfwwsdgjNxhtonVsZhYRddgJAVqtVPv3pT19DO4cRnbuwEJ2vsMEZQKxYrWCOrz3BDp/MQujTyGuaQfQyItfTZ64lRnbijDEYNBpcqM/JPHsQrhltwTeTMbjZgL2iQw6kQxja9ztmGI/bbZlwLr/BZtrrtqEDvq7PzNTM0LqxWq02Xj+5eiqZmYBD2eSK3VjvkI/Zlx0KY/G1JycnG310vxsMeu7NClp+fb710KBjuRhQfazDSa7rBYtR2QkAOT8/X+RAXCwEG3TnSpxMQpC+7ZzivIQz244Tt00O9N2rIKbyNpRWCp/XtNOhUHsHGyv1dghj8PB57r8BsYGDObDMqZP+M0fcC2Kj5xj1kFfo0CNZ3hxoJaUu509Wq1WOj48XjM7MyqymQ17PB/09PT1dGK3ZDWM2oPRjG92GGaCTym6XMT7zzDPXQiI/YsH64np6HGZRo2XsbaWd3E3Fjse5n21lJwBknuecnp5ulGJE5xs8RvGhKWCzEoMNcS6xOvTbDKUpfTMQ6vUk2mDMMjBAMxcrJ967mdbIKACJzv67PyibP49kbkVsT+6lUebi+Ph4oVCjOfCzL+zR3R/qcN6ix5VcAjtzZSDq/8wjc+Q+EirRF4zDiVPPuXNIngODEcXhi4Hc4ZVZEwlajrHq0kygZU8xMDEenM5N4VqHLSMbGtmcnc22sjMA8vLLLyfJNRChNAr72qbmfPczMCwI7wOxATl5mlzF+OzARLnbmJPlnaUdwzuP4FUG33DGmFE2j8vt4fk7B2MmYY9tWZj6u5i9mJXwG2M+PT1dvMaSJBte2Hkm4n+vrrRCG6QNzN43gyF6TBgAcrSMtukXegCgEWaZCRhIO4RtA6WfsA8zMNo6OTnZAJhZ5zxfLmfbQTX7cFv0i/HyvZmFZWGwtrw9pl6Rc7u2g5vKzgCI420Ux0pndmGjTK4njlyPhWePRbt+5L4TfKaRNlQrOr8ny+Vbg4RDFHs4L+HaSC0T10V9br+TmfwRb4yw/tYAACAASURBVMMIMAbfn0IxsFmG28IccjaMnTCK1R3apS0vU9tAMCrmmu/WBfqPIVCnw03nuMworBvIBcA20HdxwtkGz3/Pt8HbeS7mynPpcTlcHQGf2Yd12cDZ+Q4+jxxv65HrNvvyb+jAbSCycwBiwZhqJdc9pT2S6+K/qbGvN8uxcjM5bbxWRvfN9TpkstI6097g08uyzql47Kal/s7/Nj733R6x+0ZxeGZPRTFN73xHcglk3mh3dHS06QthT4dW1IvcvKuXOXDI0GEJ8rB+9N6VZlvenAXQmSWamfD9ti0FrRMeoxlay9z6a53f5kTMwDvH4vltAG02304WGXco47puKjsFII3GXsY1IGyjWI3apvCmkMmS8ja19nH2WYyWbUfg5OPuf++38DUYrhmTk8INhKb4Xkp13c41zPNlnoWkMgVldH6mV3P6vhuHMJzrY52LcN7Ec9Lg0B6Q+umzw0AnvUd61MbVYV1ylTdhXNY5WC45hm366KX9UehtcGm9Mxts0DBQcL0dn+e3GY/bb2fQ9Zpdj2ylHd6o7ASAJNfj/Ea/3tprz7CNgZiKb6N6Zh5OfBk8+GMPCJPuyXHSzX++M3cEMh6/qbU9jhUN5fYSLec47PO7SPgjL4FhmN4yng5X2ATF2AlLACXOpe3j4+PNC6UPDg5ycnKyifcJI+ivV8GcV2mZ2nCSy52dBljGYONiPgmD0Ac/2LhzQg2+XDcKL+knjKwdQLODNlpCpVFo0hvKnEDuefcqlkMyjntZ3uBumRhEzHKR4U1lZwCEAZCZTpb3MdiIEIwHx3Ev3drrOCTo7yQ02QDl7cxJFrR2tVotNm4ly5yHwcy7HFFWb2/GsNqbco43STEmFJCkpRN5lGma8uyzz27yHwcHBzk+Ps7h4eFiyZJ8BmCJYSBPg9yjR4/y4osv5uLiIqenp4vw6dGjRzk9PU2SPPfccxvwODo6ypvf/OZrAA0IssJiVtdLxMjCxmAmQOEOYecoDKgYmNmJXwvB2D0X9tbolb01+R3ONQgcHR3lwYMHC32iX2ZXZqC0xTI4fXfI3mwUFmXZ9TlmNfTTiV33zbKlXzeVnQEQhDeKeZPlvSAunjgmxgprT9vt9aS4HbdlapwsaS7K5O3wTsTZ43m/CJ7Z4EOfjo+PM89XO2Lpi0HLK0NnZ2cbj0R58ODB4hWOh4eHmzelUZ//CENs0Ka4XrI0Q5umadP+PM958ODBpq3j4+O85S1vWSip74gFQBhPcmVgKDirJA6/OhSjLrM0hzyWn+ewd+YaQD0fo3yR2Y7zTAYwe3bat5Pp1S4v33Y+DT1s5+rt5tbhEavwbyNWRJ+cz/usCWGSKwTsJJk977a/ZEn/PGkdDpmFGEiSJeshcYhxYbT2RMnVEi6Mwp6tl4wZIwBiVsU42Xhkj+2+X1xc5OTkZBNmeLnQuQeMhH4cHx8vaLkTmMifthxKOIHKfTDJFTMzgD948GDDrvb39/Pss88uliA9PwBlchWWACQ2UoMeHt0hrZOpHpfDijZg5I0hIQeHWJZ3J2hp04bYYTJ9IP/Uv1OX814GLOtS5186Z0EddnYGhREz2ZazsSMZOV+XnQIQU0AKk59cTwzy3wqBgbYSGDBauIQEXj3gNwMIiUrHkdRnJkIY5g1V9A2FMK117gPvDXgwBnuoZLmFmvaOj483fSMP4d2W3mXZYYWBEaVHBicnJzk7O8vp6emmTtpNru4rAcwcCvIZeZu1GYwADsDBoUPftUo9nk8AyNd1ItD94DzmnKQqsjY75XyHNJajGYzleHJyck2vrcPW12bAzDfnO4SlPQDZ+tqg1o6unSljawZCH24rOwMgHpSzy/5vsGjBdJLLk9ptmHU0imMYnjRTaCbdk9XeyJPtOJL68U7uI+BAQtF7NwyaDjsIK3wvjcfL3aZeUTCY0b7DFXsr0/Hz8/N86lOf2oRMXEc7Dx8+3Jz36NGjHB4e5ujoaMNEkLfDP4cw/UwRA6aXQ5lv5GlWxzgs1/bCNhZk1gZu3epQpJPMlptZTSc0k2zmwKHYKESyvnYIhuxcr3+3c3M9dqL+PBqz2cxor4zLXV7r8HlJvjOXr6+ck3xgnudvm6bphSTfleTzk3w0yTfM8/zJ6bIX35bL1zs8TPIH5nn+0ZvacOxqlPWt344FnQCy0lOXlQKD7GRqG4wng7oeP368iK0NSGYWyfUdghhKJ0KtmA2OGCX97SentUE4L2FFszLRH/rs8VGfPZh/txFeXFzkk5/8ZM7PzzcJU6+c8FxUPhPS9Zw6VPQtBCRm26BIxlpXzAKclO3QlYKsYWrzPC9Yog27c0netOhlZZ60Rt87XFqtVnn48GH29/fzzDPPLBgy5bZ9KzZkn+Px8dtIxlw7Yk6tV9aHrvOmchcGcp7kP5/n+UenaXpTkg9P0/SDSf5Akg/N8/wnp2l6f5L3J/njSb4myReu/74syV9Y/7+xjAbanprfreDt9SkWPoJwSOOwiPM7kWgv01ub3V7nT+zZHIK5z14VILdCmyi1qbwn2ysLrbSMwWDp8KmTZAbmBjjaYzzcTOdcEKEIoMI1MIx+qlcvUVIAaoMZ+RsbGgXZAlK9XM5Yey+Hwx7qseHAOMxUzOqcLzILA8QtS2+0gwWa/Xle6VOzCx93mGU97HBupP9c44UFA5Kdqhlvg1qXu7wX5mNZvxx7nudPT9P0U7l8YfbX5fKFU0nyHUn+Xi4B5OuSfOd8KfUfnqbp+Wn9Gsyb2nE2GSVvemVhWwGdJ2hktUI0FeZ6BOb8CfV705SX7egH7TPJ3l/gEIf2UDIbVu9+ZKxW7mZYGLDzMv7vxKJzHqOwb+R5mh5fXFzk4cOHi12n3gfCMuo8zwvgSLIAASeFnbT1g5For2/Mk05uxuMErcfucVrmZmPMmR8laI9vuVmHkiyW0Uky004vyzpXRt1OmlvO/u558G9mSXy28xyF9A7JPSbAfuS8O8k6Kq8oBzJN0+cneVeSH0nydoHCz+UyxEkuweXf6rKfWR+79RWXFhIdHwlC/RnSe18zinkpFrTjZj47cZpcbaaysD2BhB2UToIlV7EzeRYDiD0T/bORdWjXz6TgHAMORmJPNqLKlrnbMrt56aWXNjkQh52ELcnVVnYMZNsyuucbNkU/nOvY27t6v4oBtud/BIjTNC02qVGfjchL28yVwbYN3UACWK5Wyxsu26DJCXlMlredJH2xPAxo7VAZVx+zXvoaz7Ftx3X52G3lzgAyTdNzSf56kj8yz/OnyiPM0zTdfuvesr73JXlfkrz5zW++JnTTNYq/d1zI55HQrVAoYidi2yvaE9qz+L/DDGg0hmyPBjhwvr2hvZj74XF6XPQHw4Ud2dBtbGZHtOu+JddBmuvpd3IJUs1AHDbRT5Z7nXyz4toYzQ7NYDpBjaz6eOuEx9/GQD98/TRNm9Uq6jJoMAbvF2mQ5c+rVh6/Qck6Z8MeGavDTbOHBs+WazO1DsVGoGCAuem8UbkTgEzTdJhL8PjL8zz/jfXhnyc0mabpHUk+vj7+s0k+T5e/c31sUeZ5/kCSDyTJO97xjtmUeRSb+YVEFiqCdPzp3+yRjdSN/pzvGH2UJfeGJ4OJQw+PwW1gHKz0cLwfSmw2Zbl4jHi8vb29DTOy/BxOobw2xmQZJzt2pw6zH4cw9M/30AAiJDxt9LcxEMbg45Zls6Y2TuafPlNGSUDvq0iyWTbnmEMav1kOB2BgZO4Yh+fNfaPvBk5uK/CCgPXVOm6WbP3qefTxkXM0UJg12yYc7jwRBjJd1vLtSX5qnuc/rZ++L8l7cvmi7fck+Zs6/i3TNH0wl8nTF+db8h8e5LbMr5fhfL69JcY/ur4Bqb0AtJT6oeXeB8LTyHw/jNG9l85ol7rNQIjxUUKMkXHSFycV7eUxWozPSswYfC8Mcbj3n4xCGQOYDRJ5ePxmPt6NSV2m66O5ZQxeBRlRbAwX2ZgZMH++3jSevtA+/eRah6jMB2GNjyMDA4qBq3NSfliQ9cHPZUEHbax2dJ0PafZhNs05BiOHgu2g7Sg7FHIbt5W7MJDfkuT3Jfmn0zT9+PrYf5lL4PjuaZrem+Snk3zD+rcfyOUS7kdyuYz7B29rwINoJeiMdaOlDdgK6LDBns4bZexlEWontawgLFM63LDnt8fe9t8vObIC93JsJzE51mFDks2zOGgHGXHvCwbqZNlIOVqmBgaWb9vrInN/9p4Tz1e36W3jMJAOYZLxIydH3t39TZZPQUcnHPpgyH5m6Wp1dQOhmZuBy/1hXNYT5tlsxqUB3F7f893HRmO20bsej7OX5w1a9Lk3XXp8N5W7rML8gyTboOirB+fPSb75tnpdRgBhISZLofr3dZtJrjbqGO2b2eCFWMe3wZB3cXhib2uwcfzOuaad/d3Z9H7eBwzE9XrFyDS3czGM30zBcqIe8jP2wJ0TQanMJtwvrvf+D7dv2TBv2zYiea5ox97aKxlelbNhGGQAX4Of20aWZmUsmXsJmrl3AtwPZ7LB+nMDP3rUSXvk7b8OOZo9NKN2/xqg3R/bSes6xWBkJ3obcFB2YidqC8GUzkrjvAalEZrP3h7s85Is6BvFSU5TYrfLZ5TMHof/zU64zns3HNe6HSfgbJTJMtxoYzK7wlDa0yJbsyx7QgOWvc/oj2s8Vx168DcyNgOe+8FvGJXZBr95vP5vuXC9ASi5Ch9cvMpiubk9g/rI2N2G5eBrHN40s3Z9zTzdHxyf22lG7j75HLeB3jqhPJp3+nBT2QkA6VhupJzTNC2y5W3AndvwRPKbY8Wb4lR/d4jBcQyy41J+G9XnHak2qoODg8XLqnt1iMJ17R0awMxEHEubkSTLZCLteXXF4/fnVkqPxwZn47aMLf9mNxTkbQDxhjDrhhW+w1/304biZCgA4pDGv6N3zld43g3iLZNe8errmB97fuuWQ29+G+k2/ezcyOgz8vX9RdZfzj04OBiuhHbZCQBx6Qm352zU9YRY6Mn1xxDy2RPGsa7bBWViLb8V1P2hPt/x2l7fSmHQGeUkOL+Tw1amBhQDrg3QIUUrv69pT9orAZ37cD8Zs5OEPQeeI7OlnjvPv1dMqIO+OyRoZ2Kab+fBddRp4ABIOkTo0Il+OjTlmNuiHhiIgY7vnXvr/MOIhXveaKt1s/W09c7tcW6z2ttCmZ0BkM5G92CbgnmgTWUpTQE7EYVwCDWcXzGg2GhM9exdG8nt+TtEcb8ImVx/U8pmNN2OvSNGyTJhcgUaGJs3TnE+9QCSyMTt9w2FPT/zfPVuWf68MkUdvVeG+XddDfB4Tc712Gxo3qPTAOa2fA/NqA/MBfU79EE21iMzMdoaAW0bKOcii9FcUzpMsZE3iFLaoXY9/u46YaufNQCSLLekO+7tTUmetDaCZPneEANIX9vLgWYETIaX80zp+e7VBo51H9yulyQ7YeUxe8LdHwCg7w/phGMrjJWTMdAPK6LH6jZtpMjSYQR/Xh51sXycE6Dv9KXlYBbC2DtJ67b8LBaPvRlf6whzNGIh1Nd5m97j0kyFnItXw5ClWdcIeDw3yN3hjVlmsxDOH92Ra13hWoPWCIRuKjsDIPY+/s9vjbzJ+PkGTQdJDjadc36gqZ83SzVF7T5hzAY9FMubxdrL0L6NxQyMPprleHm08zpWMPfPSk3hHEDM4zNYuU2DbV9LG51PGDHABhfact7DMXsbaHK1v8XndkE+XnL1Pg/qgTGhI/3yJ/ffjsxAiKy9XMr4DQIetx1Pz0HrapeeV4dBo5Ct80ne2t+OpuV3G5jsDIAkS5S0d7ayGnkp9r6ui3qgY6buRuiOP1m24xyeKIXyWekBEfrZOz2dSDOAtCfHUD0W/+b+UVar1ebGNa5NrpJkyMZxv41zJDfacPiB/DA0ihlDh0vTdLm/gjrok72ilbSXVym+xpTfeQsMvev2f+riP2OHHfjmOuuMDbFDTR+30VIXYSTt9cqg2YhviWBu+1zP6wjwfW3bSLdpnXSCunX1syKEGbEN0yoLHkR1KODSiTiKjWFEAzum9R4FDA9lHbGW9sjJ9WenGiBsiJ3gG9F7jIRXCDjESq4eCQiY8DQse6puh996SdGek995XKO30Hcmf7VaLTz4wcHBph9OKFMXRgFokMMw6HrnpvtuwDHNpz9+85vH3yHG3t7e4sZGr7g0S2QOkZP3fpgRdihkhtNGjZPosLUN1/Njve+kt/M2Zus31WfW6nNHANRlJwBkRFUbNChN+42WnGvDaiF04qpppwHKm6dOT09zcbF8ZqeNDU/eRmqQcrjT4HZ+fvk8ToNj96XH2EyGfl1cXOTBgweL5TrasRGNqDNKR0hBH5LLx//1g3/4neNsA6edBw8eLBiecwneA+MXVvlBQ054dvLXMvZcJrn2dH/G65wH7MYrWl6d8Tt3rT8jr+w9PLRhxmYwOTg4WGxkdB9t9C5mutYf/98GAJ0v6f8+3+Fxj31UdgJAkmUyzF7C+YLkaunMyI3nc3KtEd002Z6qQ4rV6upRgexQHNFOzh3lRjpHg7JyzDEp56PwKHeDIt99a/s0Xe3d4Do8uD13e+AOUZwnMsvpvSLkDGyw1O3dmjZKwJDiuJu57BDE8jPTaBZi+t7gyu+r1Wrz9Hv3CU9usHYYwvWc61yGnZAdUBssTJY5mabLZ7cyf4zJ1zr8cJ7FfTTTaV0fAZwZiXXOuZO2i86bbSs7AyBWRnsChwWO3XoSHJZ48Pa+VtxRjOc4fZ7nzT0SBgq/jBmlsgHY83CevSVel8lCwTBa2vHzQl06vu1sPWMgHHB/5nneeEmHYg4ZUSTfO0O9LVP62X2zURtwqRuDZPu58wqc22Gsx+ZinbHHH4En5zvhiHxOTk42dWDkFLNh+sly/NnZ2YaZenzkVfzXoVjnTuiP8xINNOi3V9vaLprNGzAo3j9jWVIvffCrRUZlZwAkGT+XwoqULEOPbTEjMTWK0kuxniiOGcVH7Y2MgLr7/htAwwDS4YFZRedkDIJNVw16Di96XA4PONavQjAD8zjdH8fUNmRkcJOn8pzQhoET4PC9Nfb4o5Uce/Nuw31sGn9xcbFhSV0sCzMdz6dl7DH53iMn+ttg0ZWRLpn9+vyRfM0U3O8Ri+nz/TcKnZy89lzdVHYKQJLr2fOmhkZtG6O9pZXVnsfhjRlPsnwrlz2iM9Rc231Nrp5s5Q1cKKPfNdL0skMo97sVd0QxCd1gGwZW/vt+jN7PQHH/DNDOLbRX9l3AjNcGb6DtOLwLORe3Z8bh+4qce2E8zhN1CJxcrUD5xVb8J1wjTHOY17qF7sEYj46OFnkxwsq+xqyznUODIW041G2dsS20nmwDnRHb4DNzOurDTWWnAISJs4ceGTsF754sWYRDAQu3cw/ddlNCx5vug4HI4YpjVOc0KDYMx8gjxtNKwV8rnz1ahxCm9TbmjoX53LfgUxzL85nj/Cdv5JARJW3mYgZDXZ6vpvmWDef2HHQo0MYFc2mjRC+836fnw9/tUOiDw5R5vnoQkeePugG9Dh9af5FRsz/nRNxHO5YGccvO54zmelT3TWUnAMReCS/gY0bzRutR0qjpPEBjAxkBlJNJVvDVarV5bUF7DffJSUMrF785DzIyDE9oh3OjpdZt3tx5i5bT6I5SgNPMZxS6UDfjwPCcKO0wAG/dbVKXPTPjNGOiXzAI+utVK/fLYaDzB/S3dWtUMHBkbcfG78wHqzXIyatJME9kZHbjPAztoDd+cJF1wjL1523z0yFRg/MoDeDVP+bzprITAJIs7yZsFLTB+1wr9wjxPfk9CQjawoY52Ntacdw3MwvqAUA6jnbfPalc4+VSe8AGCr67zh63wwCDoAESL2mF4fdR6JIs34RnJmWwcshHf9jV6xDk/Px88SR6fvcLsjAgZDp6roZXoOiDwxYDB2W1Wi1CDLNEM8iRfHs1iWu96uTQm3ZYBeq5tV44zBglR633bqMdn8dt2VCPNx06pEKvWyY3AW2yQwCSLDd58b0NZBRL24NynevktxY8BQX1Bia3yV97WcooUUVpwx8BhIHCcjCL6iVLA2ezCbfXMrR8XL/7ZwDs30YsBuC5jRm1MVB8rVdZqAfF7jxHG6z1wfPSy5gOOd1/XzuaL//mObcsYUWtxy6Wb4diDRwNBi0/6/WoXsY3AsKRDo/kflPZGQDBeC2EToImy7X30caaBh9TPQvIQsdzchx6jIez8EeeiP892V4hMVAwNlNtPH57fhtGe2HOH8XS3W/GhjFZeeyZTJvpp9u0kdtQrICu133qcLOfjubrvEfDY3Po2SGLz7OTMTOB4Tj5auZmtmPnQ729Xd55j9VqtXlLnYHHsvfWecu3DdzszGyH4r0syKOdjgEpWe7GHuU6PIfW65vKzgBIe3hKG2ayfJiuaZ0ZTAvUqOqCEjhMGRkTimgPRn3E1rRjJsP5XinonEMj/97e3ob+ul9c10m89ryW6bb/bfjUMQIky6CNY1uxl95Gr3t8dhbt2dsbt8PotpkPch52JA43zWY6f5UsX2Fq4wJ0mp0CEugG4U3vT6E/GLXl33LiOo+9HWXbgueuz0+WO3V7yXzUv21lJwDk4OAgzz///DXa1xnz0YrLyNPbMznhxHkoCYbTjxkkYZosE5LE80Z9C5hXBODFLi4uFu91tdLzukOP057ETMFKZYCyoZstjZZBHW5Yidt43E/TY/oN2LaRA7C9lD16qLCXZkmOej5p169baMBohuJQbJqmxW0B9NX/WSkxI0AWXkXhs706wHd8fJzz8/PNQ5inado8uZ45PTk5yYMHD3J4eJjnnnsuzz77bI6OjnJycrKZK48PuZuxGnyapZslNZj4/+h39AL5deLUjHlbuctrHU6S/P0kx+vzv2ee5z8xTdMXJPlgkrcm+XCS3zfP86Npmo5z+TLuL03yiSS/Z57nj97UxnPPPZev+IqvuIayZ2dnm5uiMBx+s3BN/Vugzip3/Mc1L7/88iaJN89zXn755c0OQ8fPAMuI6rFRCaUHbPidBCHvlvXrIdkyz2+wDNrs3IOXufnvxwM+evRocT9JstxHMU1Xd4qi/HggqDjnegXl7OxsEW4hg4ODgwW4UmzgBjX6A5MiAdv3A9EX3n9rAzCA2Bkw9/26SvoJAMAsABD28WD0zMHJyclGVvN8dZNe71Z96aWXcnZ2tnnHz8XF5W7VZ555Js8++2yeffbZvOUtb8nb3va2vPnNb87Jyckwp8Hnfs4Mc8n8e4eobQCnZkfkh1iZ8VKXQcoOuMPpUbkLAzlL8lXzPL80Xb5g6h9M0/S3kvzRJH9mnucPTtP0F5O8N5cv0n5vkk/O8/xrp2n6xiR/KsnvuamBvb29PPvss5uBM0jeGoYg8eYoCYqO8pgGmo7h5Yz2vo6bxPxk7w51kmxWaIzWpvQooWPpZhLeSYnBYPwovBO6XjJk7KOwzsqG8aBoBjIbVb9Uyd47ycJ425vb+L3no5OgyMh3NCND7wylXoMC14xodN/rY6ACEEasBX3gZjazrhGoOHfhZWADjkHt7Oxsc+6jR4/yzDPPbP6ee+65PPfcc3nTm96U4+PjxbiaibXxmjmSc7E+9C5SgGPkPG1Dzg0hvw6Nbyp3ea3DnOSl9dfD9d+c5KuS/Cfr49+R5L/JJYB83fpzknxPkv9pmqZpvqE3oD6fbQzeGj5SJBTQG7KMvs439Dq893UQVsACTPNMIe1JvWTJJPk73sjH8byr1fLdu74nhrCK8fkay6g33Plcv+3e/zmfPI/zOp2TaS8EPR8pLOf7lRUcM8gaeKy47J/opOQo39K5JIe27rv7t7+/vwkbact6h4MBeABunJZBvAGR83n+CfNJu4eHhzk+Pt4A9tHR0YbB9PKvx+olc4euozyF7/I2YBpAOl9kFm4ZjXJj28pdX225n8sw5dcm+fNJ/nWSX57nGS3iBdqJXq49z/P5NE0v5jLM+cVt9cNAGBBKTCIRQTHZ67qTLHMUXuGwt3BeoLPXSfLw4cMky6dEIVSDDhOKgtjwfZ/JPM8bY6MNfofmUk9TXkDMS5uEI06eGkAYl4GDJ73bs9gIrMjJ8g3yZnZeorXR2zta+Tu+bnn6HbJWUL6jvDAU03UbFwzCRm1jOz4+XhiUDZXfmXuMh5eCY+wAhBOhfEY3OZcwuOVGQhw9OTk5ycnJSZ555pnN3c300eNzHsTh2wg0W8Z2mpxj5+CEKXNL/c7n+P+2cicAmef5IskXT9P0fJLvTfLr73LdTWXSy7Xf+c53Lt6Sbk8Chd7b21vEosnyUfreXk3oYAbipV88C0rbOxox/k7AgdAUA4BzFQAL+Yzk6uHJgAP5FHIt5+fnixiadjjfm38YGzJCmXqzl/vD79RxcHCQ4+PjnJ2dLWSFUlkpndBz2EVp7+lQks++W5V6RgaDDpBX4ZiB6fz8fJGopQ+m5CynUpdBBNlRtz21V8yoj5AHfeRch3fMm/tKCHF6erp54BOG6uemtBz7M/LpY2s72vzfdqeydcQOB9m4jEL3m8orWoWZ5/mXp2n6oSRfnuT5aZoO1izEL9Dm5do/M03TQZK35DKZ2nVtXq79rne9a8GTMFhvKe7fjbwcW9frNhZZZpTGSuJ6SD5igH66Vj9vBMPCGDAwwIp2venKST73y08Z489hAtdhhAYP+tJ5EfplwE2Wt99jOPZQBhAn5szwvHXbMnco5X44CewQkHNbNsi4QYF+dCLZ51oG1hPO4Rp7aAMm/XXbyMKsFR1pOQBKZqr+ToHB3LWMwGMXyq29mqbpbWvmkWmankny25L8VJIfSvL169Pek+XLtd+z/vz1Sf7uTfmPm0ovK3WSaTOIQRbegGLh8zvKYGU3xeVahy1mFh2f2yPTd3tuG5CNysynr/G4ncOx4raxdnjBMWTWz6boZ5hw3CsTyfI5ovwBOJZfH8cRmFr7zwzAfXa+ZAQe03T1vS8PPAAAIABJREFU2gFkyzXNCpG7w0XONzvjnA5NR38OUzp8hsEy/gaZ28KCLrethLyR5S4M5B1JvmOdB9lL8t3zPH//NE3/PMkHp2n675P8WJJvX5//7Un+92maPpLkl5J8420N2PN2wQsYOLZ5v/YqvWPSxsSkuD4rFvV4Q5JZkR+Ca1CgPY45trfR29vZmzm/YuU30JATYMz2jmYtI6/eyU8eymywNitwDsTXmvk5fqfNvmO3ZWTjdUjq+po9dZ6gdcjtm5G0A7FOMMYRM2l9bMfEfPUjEpw/GbExQrBX4lebab8e5S5gd5dVmJ9I8q7B8X+T5DcNjp8m+Y/v3s3NdQthGySYJDMHK4LXvVEWg017t5FCkSAjseV4vONGlLKTVihtJwi94mOl7XPm+WrdvhOR7udoUpvN2ChHzGQkd3t4vvO/Qw0rv+t1mOdwYJuxkPzteXE4ZeBB/h5fstzR6TH1kuTIKByyOKzYFppsMyoYFTkO5rP3qwBSyOqmUMZM97Zzn3S5C1jtxE7UZLnOzXcXK649kb1VslyNsfJYOe11Glwcp7M05yVk8hBeYRkZr+vifLOSps4+v5OhrmebB6Zts63k+o1zZgB9Hsf6YcIODzop7eINTWZntNd5FY+/cxnMWQMS8qY9j6fH7GvMLJIs+uk9JD02jgHwMDG/BL3nBIboRK8B2DtwbzLSEct+NeUuTMLndA7oprITAGKmgbd13IuiNB1OlndNdrzZ1B3lADhszI8fP87LL7+c09PTzY7LR48ebXYi0k8rtUHIe0Q4ZuH3TVgGQx9vmtyA5EQeHnEEYN7pSV2np6eb3/GW/CVXO0ebgTgX0UplsHY4ZVDonIz76blhTISLPseG6uu8nJlcsRPArp2InYevNVA56ep8kecSptq/mR2RbGZFhhU3hzJud1S2sc1XEsp0MnlURy9MdDi3rewEgCSXwvYDiz2pNtzk6i7cFkgn20YshjqI/ZMsKCaKBQ0lkdi5D1627Ts3aaPDL/47cdcJQMZnj0yyjuOu38ucGIQ3q11cXL2C4uLickXJm8uQI+yKUJB6vApkhW/2x+/I0fmYUUhq2XhO7OVZmfI8N3sws6Jt6nPfrBsGMkJFr/ThqGAIyfK9yZRmkfQZUPaSr69lrL4PyjtaXdxfh5iMbRuAOKw2ADcwdN6KMaA7MKTPCgayWq3y8ssvX6OrfHfOIbmaaAuBSYE5IJCOGVFw6sEzn56e5tOf/nQePnyYl19+eXM9T2Znm/L5+eU7Yh49epTT09ONZ+E3FNDhiIGNPrSxQ4tZ5eE7HsvLrycnJ9eeAu52ragox8XFxaKPe3t7GwNCbr0nwABCvylNp6nPytes0OzDTJPzPN/MjQ3V7TKPhBKAoMMR2hoZnPNSDn8Zi3fF9vItzMNOiGsB/ST5zGc+k2maNvfPHB0d5aWXXtrU51yX+zhN02YjoOfBOmRnayDoMK7ZMvri2zJ8PSySrQWvOYn6epWml10smPb2ToC1d0NZUZgR0jt3YG/fiUOM1Iktg0DX1RPj0MqxdNNagwkPLraynZ6eLjaTdf0GLtrz8m9f41wH26Lxop6XnguU3p7OYUCvnnGcPlIYPx4Zdmd59dx5Ozty83zi1c2OzDQcYllXWvdG3503Qe8YR4eAlvs2FmbgRA7MA2203vvabcXy43/Ph0svPHxWJVGT5X4Pf0+ubwJKxkklJ8c66dqCs8Ack5odOIxgm3nvJ/D1FHvtVhqPj3aow8lA953vTafbCFzcB3tccgfOPeCVfG0rEQre8nSfMHQzyAZU2jMwm2UCjNYHwL1D185Bmf0k2dyQ2XPusK830Dl8cqjJ3hiuPTk5WeSJkC3eG1acLJ+jiqwMRl6paj11GO/fOwFsGbsNHxvlNDr53XN0U9kpAEmu31dhI7JytjEmy8SQvQ05A5JalL7WrAIG4BUJAISQhc++k5d+cs+Hd4O6/15lMfPxygt/q9Vqw0BQwGYG7mMzIQyBdmnPOYdWLOrw0rXPMd1uCk18b6Ow3A1cHda433YA25KynmMbMy+KalC2ET5+/Hjx1rrOsRnMHPZB8wkBV6vVhil6vNY33zpB+4ypV5tsuAa7EaiMwAY98WY2t90y7BDR4P5ZkQPp0h6agZhVbMssm6ZRl+luMxQnbEdMBOPlHPIIsBDvYBwlHduQaQOgsFHbCFoW0HKPzckwAwvn+3ffB2JP14lj733psLE9pD2jKTZtART0BQCFnndI0v0yqHS8j3GbORCCORGMvDu/M2Jn1OWQqgGQ3Ad9hKEC3H6AlJOs6IL10gyiQxTG2juA6QNlxKpbbyjNEvm9WW7nTG4qOwMgjcCmmvZmUEnO87mN3EZ3U3jH4U6ckYw7Pj7O3t7e5n9PsnMqDXAUFMDGw+e+oa5psJOpvq2fxClK6zfQG5ScV+lQwYpiMFutVtdeUeBYfpTI7PnCiF13cpW/MXOkPmTjPIANz8c8Bj+82AUZkiR0vwDLvb3lfVYw1AZpZMBv9JsEZhsu9fLZK3g8QKj7a3k4yenjyK9Xazi/mQU20ox8NIejMNk6c1OOJdkhAGl6bPBIrjxFI2ySa+ea9vG9/yNkGxAhycOHDzffHcs3rTRKd1jVqwAUGweKzfm9gYwxeuMS9Tl56D7Ya8OI+G9AsozcV7eB0foW/GT58CEX02YDmOu3fByymHXQvwYU64pDS+tLyxzjw7gNLvSZ/hoYzdY8z51ktgwMtPN89UgH9ow899xz1/rJ/xGjtrMyI2kG3sbeYaXrs+41w2v5OYTdVnYGQJLxjjsrl2mzfzewtGcYCcEsxtfYO1kJMYReIXHegt+t1LTVzKlDC1N0rjGQOE/CmK0go9CJvtlIHd41azKLoy7/H4WLnouOlV1Ps0R7WQOvY3b6beNh7Mlyz0myzFsA+IAARowuddhCP91O99fneQdsh829NOrxOLHpMdKe+2Hd6RDO/63nZjCMezS3HQZ7vpq13FZ25h7hEVKOPjcNc1LMxcg8AhcmzorvEMWFWBslaPAxuG2LnZPlDWVWZs7DAEYhUY+tSzOynvw2fvrTxwxU25ibAcHXNCi4HsvFf/TdiusE4WjsPa89bhur5dAGaUNvw/VO3lGo1PpKvwA8fu97a3qeR313/a2/9LvBe8Rcth0fOY1mJ/x+W9kJBjJNl09C4jFvxPntsb11GEVweEHyzB7fFDBZbsA5ODjI6enp4hZ3klZWbhuEPYapMUrmly1b2Z3DcYjDd7wkFJl6txV+94anJIulQydVkYPlSZ7HOyZtvBgQezJsFAYEe1ZYj5emvXLRKyYOyVwX+1yol/NawW28XM88+Trq6f9+nADOgT/q9p2z1qm+dmSQ1pHDw8PNU9ofPHiweTo7T0JDHs2+DJjWVepvdsbYDHxm2CxdG0j7toeue1vZCQBJlneZkrjCEAEOMwEQvEOWNhonnvxMSZem9gYoDCG5emq6nwnR3oQ2nWB1LG062gZhJTWdd87DimC50Wcn/NjXYfbEuexp8IOVvWUfMPQ4vMw5AhDaol9O8FkuSRbenSV2jNJe0gbbHtfGNWJJ5AzcL+psfTEItJf2uR02NEtzwtgGbPbq+33MlmijddF3ojMej7nDZl9rljXSmVEfOqy6qewEgNj7JVkYXisKxQg7mnQreKMt53jVgd+Z2GR5K/XFxcVmCzuZcbOJTspZSTuLbybDagLJPdrzo/Os2E7geemV/rMfoZOtbt9KzLM5ARTLf1s4g8dyYpE5OTs7W7AX+tsMyQ/l6W3jzL33kzRI+6nknmMzK/oEAzDDsDHZq+/v72+ep+rrmSvkzbV2NMjK9xxZH5rlGAwsYz4zD816PUcuDT5m0u6HdbXrcF6IOm8qOwEgyXKnaXtuL9uOULaPuT6usxJaKfnNdNFsAUPByFl+dWKSYxiyJ5666EeXzpkYLJptJVkAXBuNFYZ+UycGakOF2RHCAFrOCxjUPAcjJWtv1yDGHGFcnUCGWptlGUjmed4ArueQYjruc5phII9OdFp+7jM6wQ2f9JOVIPrhFS7+Wn/swNDxLs0M7Eh9jkuHTj7mhLGdg2VvIG47vKnsBIAYxW3EnWBMllnwNnYbq5WjwxIKStIhiYVsIKMeqD3nsPORyTY42Qjx0BgFY/Feg/Pz82uvHfTt7Xh8/rchYxwUK483M/lWfhuXQ8mRB6M/jpmPjo6u7bPwRrEOOewU3I6ByTkQ+mUW6bDLim4ZMBa2szco8edQjrpxAByjbl465Vc1HB8f5/T0dKEvDimsF62zo+R3OzKHjs1SOqSyXiE7r0xxnuuxLrtPBtFtZScAJLnaabntt2S5ft2hgL14D7rpt72+V0aohzr6nhc/Ld2rDqb09ipeTmTyMTaK66HYS/mVAIzBb2xLli9N3tvb23hGjvPfcmFz08nJyeIJ4YAjfQB07FH7bltv2sJQvI3bm+Gch6JOv7bCS+gYPbkTL2fbIClmog5VDCYAhhmZQwqOeW469DWgeJnZ4W6HjSOH1kyYetpwmzV02O58S7Mm6//ILuxwbQPtkLeVnQAQU7YRzU+uo3NTOgTfcSP1dxxpLwhYACwAxv7+/iamX61WiwfCYNDOhbjN0XJs99cTZOBKluEJBTaRXIGCFZ/jDl86l+G6Oh63F7acbQCm+sjLIYa3cnvePBYbDYwmWT6v1W0gT5KtHpf/W0YjWTv30YwFWbhuriW8IpfTesL5frWD8yLeN2KQbRbmfT5t/G0XbSvkNkagYcaBs3M9nOf5Gun0qOwEgGyjdEyOVzWS5Z2HVsTeW2GP5ol0iNS5ByvaarVaPHfDN7c1WLgOK73zDqOE1DZaSbEhOKRDoTuvYy9lKus+JteTehxrZR/lYjrX4WPtRTunwH8M3YrvnFUDGPPZeuOxUeeIUXIehkq/HWpZvl5C7vCt22f+/BmdQ76sLpnRIB/3x303U/ZY+hz0oXXGOSUzIzsU6yvtUNdN2wgod95INk3T/jRNPzZN0/evv3/BNE0/Mk3TR6Zp+q5pmo7Wx4/X3z+y/v3z71K/0V9tXktmtXL7XITd3neUF7ExI1jH3ZyP4AlffP8KYJIsX+pkMPSOUtfhVw/4TXUNpr2JyfsrRjdoddxsmToX0YrNXgTnBewpCVUaeEzj+7jfq5Ncvf3OS+sOCTwvHesb9D2+juV7vj0fzi204fRtBMyL74qmDebe5zC/sFnvc+nwFKA3+HqcfLZTAOxav32ugcHOo/XebK1B0Nd1aD0qr2Qn6h/O5ftgKH8qly/X/rVJPpnkvevjm5drJ/kz6/NuLZ0wHU10Ml7y6nixEdX1+poOhaDxJBcdY7qfN8WHDVY2DrMet7vNWEZKkeTae2n6yWWmsgYgjMgA4lyB2YkBmXE42WolNngYGEb5CY+xDcHnuA73xeEKxQZogMHQfQsCx3xe53ls9A5XWw/N3gyk9MXhiq9BxmYdo/DdzMOhYuv7NuY2CntaZu5Tj6HlPCp3fTfuO5P8R0n+hyR/dLqs+avyhF6u7dJKB21shjGi/A06Rm+ONR3kc9N4jhn9m1nQpveBmB14mY+Cpzo/P988SwQQwKvZa3bd0H4Sj558JyY5z+zDKxEGkP5uebbhj0AP+fq3VnKDoXMmXccInJst2Bkga0IT6vVKlWk789qg4I17AHavzJn9un9HR0eLxzt0EnSapsUuas9ZO6nR+GjbYSDFOZ9tjNzz4HqdXO/52eYgu9yVgfzZJH8sCTW+NXd8uXYSXq59Yxl12HSu6R3/W8GdmW96i2BsZK7HOze9AoDS2WvY444MyxPFf4cXZkCU9nwOYdprmnYnWXjYpvcdM3d/ur1e9XG/OxnbOahkfN+NmYyTsu0Eeo7cvo3H9QIIoxxB38/iPyebu+5mO2ZALT+PxYzMW9Rb1t3PHlODimXauQz3w2H7yMmO2sdBdp7sLgByKwOZpul3Jvn4PM8fnqbpK2+t8Y5l0su1P/dzP3cjdCto01cf39u7ei6Gz70JaLjO3ibJghramzrWNnNIslmdaeNOsqDMXk1xiOH6ONfAZs9nmdBHex1PtK/zGC0HjiPz/o8R00YrkvvnDVkN9Ot53njJptj8PsoDeM6bWVrOZgXur5fV+dzjN/PzPUzeB+J5cTjireis1gG+vdrkfT0OLz0vjMF9ax12WGz20nN9E/uwbM3QvMLXSembyl0YyG9J8rumafpokg/mMnT5tqxfrr0+Z/Ry7Uy3vFx7nud3z/P87hdeeGFz3Mg5os8WzijZY2Xs89uD+BwvZ3prsxnNqC4Ul360Z3BSDuAYeSMbajOj3q1I1p7Pnnja3+ZNHao11e4QbWTEAJjb99jpj/8Iy5pie/zJFahBrRtofK0ZifvdzKCN1QY8AiMDO7cuOPHdeRU7GQOwQ0XGYkb7Sop1kDJiSb2MO2rH+mZ5jpLut4FHcrdXW35rkm9dV/yVSf6LeZ5/7zRNfy2XL8/+YMYv1/5/8gperm3lMRPokMHLhYAI39f93dTXHs+K7/s3Dg4OFvdreLMX+w56m3Jy/V4Zey2HAY4pHz9+vMl7wDxgJhcXFwtPRnsobrMC5z28XMu2eu9CBTyQsTdZUQ+rJngkxjmKsRl3P1hnxIgopskei8/tON8J5PbMBhKHJPaoBlucBElot+v7ojByr4zRpnMqgAJtjoDk6Ohoc8ezHZ5DYtdl5+kdv05wGpiQn29RsP5bzlxLW6O9RraVuzCQ17IP5I/nCb1cuxUBodjzWqEbSLwz0sBihPYKwUj45+fneeaZZ5Jk86jAppTsCWlG4uIchcHLyubcCWOEQvvJ6A5feknOCoX8nPw1ILgfvrOZLd5mXFYyGxP9sfxaWXuPBBSZQviIUXgHqxXXddqwPEbkyF4fEtYUJ987b4J8GhxGoddITzt86BDPc8pjMTuJ2nrjJLDrdVjvPJ5l5PDNeth+u/Xe4GEdtcxuK68IQOZ5/ntJ/t7687/JE3q5tgViAyEmbcVkIluxuW6kkBQrAd4JwbHxprd+mxJTR1NTjoPqsA2jeSvoSEmtbI8ePbr2FneMkrgdFmBlMjsx2MI2Dg8PF/s++vZyGJjH77mx3AFwlNhMyHfMjuJ3A6hLP+uVfsIy3Kb7ZUM2w0Q+XMNSPTKhHr8Qmxybdcr61CGEPXY7DjMP61PrRJd2VhTLzMDjORnV6/Zdv6/xHN4l1NqJnag2MOcYWvCc2wrN8Z7oUazOufYkHQZxg5RjyuPj48Wt/AYUwgyv2FgRzRLwSHjOg4OrV1SymoBn9E1qFKjqycnJ4pgZmYHBIIU8eJDNycnJYgs75wF8DgsoDimctTdr7KSpvaHDDYdljMPtI2Nv1bdnpl+PHz/ezJfnFo9/fHy8YFh+KLJBzvfC7O1dPhLA59AmdfVNi24XOTPfDhs530BDHzoUHIXzGLn1H5vAdrjOc+Rz3I5Byv3yy8y2lZ0AkOT6i7V5Q5mBJbliKY5DuZ7SE9OJPythexau97Wd9zA977DLk0DpPQkcY5WG8zEAJtk7P22EBtSOY3tfgEMf33Tn/rUX6pDLHt6My9c3W2t5WXktJ1igjaHH5D6ZyTTL7DnwPFBns1mHNc1u3XfmxXdAmy2OPLc9vfXPY7Ge+RrnwMzg0B3LdKQTZjl2dp5/jw15w8LtjG4qO/NM1GQZo9nTMXhvsEquL0tSPPGt2Hy28mAozp436vd/00+jOB61++DcCH20R6JujnX93c5I8dyGvbzlYi/VzK772Pf9rFaraysPtNPXur3ue8fnNnK+92fLv71oG5HpeOtTg5mdVoO056dl5jk1sHY4a730HMFurZedS2nj7uPuVwPsiKWbKfpuaY8pWd49/DSTqE+sWJk8qUZCD3Yba0iux4Rd7yg5SuGmPSg9uQa/3oHJ9y3qJFjpE08F8yqMJ4TcDgbJZPIkK9NPDNTKh0KZMo8esegdvL4P5ejoaOM5+xmxfb8FcuIPOm8v13tBDAij5UHq5HwbN17QemEDQya+Oc2PWKBug0n3h+9e7aI/NlbmhwcuIftRQps5dAjQy7l2BH2sWU+XZjOWY1/TtkIZ5V08116x2taPLjsBIMlSORiolyy9qtJewAPtZb9kuWQ4TVevNGy0NvVtr+Y2G9A8+W7Pd0hCDVmFAOjsNei/d0/a23Otvb5BlvoAt2TJzEgSNvACQnx3nwxe1N13RzMPBjBf7/loRtlMyPJlrvxUNIc87bGRvfM2jI9x2HP3HhrLbG9vb+MUvBHNAEEo4WQ8bdhpmM12X82GLKeWrQ3brMT63ro6cswN9B4fcvDq3m1lZwCEMqJxFCuW/0ZCB3CM0Px1zIrwSHRhqJ/5zGcW/WqK17Sf476rkwniNzaUMRbfyNXU1gwEWTT1JRnL77QDU6CfnSdo0PB/y92MoEvH5j2P9q6jeW22aGaQXO0bcT0GbBsF8m6jpcCuYEvs+7BH5rOB3XNux4LOkRfpdud5Xuz/YCXI+ZNmDwCRx8Hv7rv72WwL2VpG7Xi3zZHndHT+qOwMgGxDPDOQ5Prj7/rmpU4QtcdNlnsEbspfuE+OvS1ghzXUQyiC4VnBOBfaawDys1aTpfe257CSWyHbG1kBTJmd40FmrSyjmNr1ux3/Z4yW+wiYHPoYTLo4uek+c8wMwv1gvNYPJwnRq7Ozs83vHWJ4Ax/z2KDXuTPk5OQlTqTZJuOwvln+/Dd7c1Kzjd/7ayybngOucSjlPlvPb0ui7gyAdN5iGwJa0K3IIwpnY2sK18htAZIDsdKaqqMQ/XTx1erq/gkrNN6CpWAbjFmFGUkDCOBjxoNndb4BBmVm0gbSlNqgO5Kd5e3Sns79xXDM1lxHJ2k7jOjQxoyr63G4Z6cDo/Q4G+iYe3JXAJo3vfl65zVG7MrObLRaRBvbPjskdZ8dxvt8O1CzGoc5DukMHh0eWW97TkZlZwCkiyfX8SUDbkR1SGCQaXbRx60QJBc5zj4J9mNs86S9N4JQxTEu1+PVACuDhp+5imIapOZ5ztnZ2bWwqb3lPM+b/R0YnHM8BsZO7jWIGQDdL4zZ8mCMZgPOx3QSc2R8Pafek0IxaBkEO+9kkHU7yJ79I8nlzZHICZnBXgwszm8wHjOeabq6VYB9IIQz/dqMlnszPIdRo9UzA7dZSv+3vo5ySE4+W89H7L3LTgGIlWQEAA5dOKeNGo/TXtPXWpm6viSbVRi2etubmd6Z5jv88TM9AAsmBq/GZ/qG0Xbilf8eh5dn6QeG2zG0N5VBt/0g4V4ebEPt0KSZhBW45WFPZo9qD20l9dz0vBkwetWAukeMwXrgnBnXnp6eLsJAwMPgzKskTPdJSNvRAS7oFHJGL5sBWs6jcTUjtE3Qxw41nd8jCewQrcN2+tNg3iHjtrIz+0BGHUY5UJzRJCB0DILfuN5//Mb3ro9Jd7321j7XmWrnFFqJACH6Z8PtjD7HOrnbVNgKz9gtL3vDjqsdrrk4xu6xbpOF5Tdqe7ShzvPCOe4fc+BzXb+V3Myq5zvJwnC7HhyDZdg64P77aXX9uEe3P+qz9cROaKRXtOvQqkHWc8Z16Bh97aTvKO/VfbVd3LXsHAMZgcioGFlHaO27ek11QWvvDkUJfC/E0dHRJoOOQvtxh/SByeKzl2tHybltjOo2Ku//jm3tHak3WT40mb4BZtxk512VjN/blwmBug/0mzHiuXv+6MtoB2yHTtRnkLCXtS70DXrMI7JhDplPjMKrX64PWbId3vVa16jXQI/usF0eAEB3/E4g/uhTy2nbvG9jJ4yXMZmRWBbUxbm9gXGbnt2FgewMgLijTVtHSM15XYe9oBNM9kb2shYwhftTmv4nV4aJYng5uF8uNBqfN3R5HKbNnG9Q6bGiSN6laWWyN/W9Lh2+jBTJT3s3u+l43PefAGTIiH4YlFer1WIvCsdpv8cIMHhsvonQ+Z7RDZD2qA4pGI//qN8OhT+zFfrUTKCZhuvq8Ney7tCqSydEXb+ByJvcDDKAY4MW9WxLknLeZ00StT2FE26jpavkulJTj89t8PHE9xIh1zT1bUreRuc+OMmYLDfmcK6Bgv46Ueo6vObv822EI+A0g9rGovzoACv52dnZ5i5gs4JmSwAC47QxWj70GdC1nBkbBmcD8yoURszNaR57r7zYYXg1ahub7aSl++35Rk7NTFzayVFGIQQ6BetrltF5CzMh6jTzRs9gwgaZBu1mWtvs57NmGdfCw2haGf1nSuqVEyfRtgmlEZqJwTtivCRSV6vVxiDxzn46Fed4haVpuQt1o+gGpwYL+uu4lpWaDoGshM4l3JQ4tRxaVs1o6EuXkadrZueww8Ue1asozgWZAYycCywkyWanrB0ScuicB/853m/6s4yayfUfTMmvvHzmmWdyfHy8CTU7bGl27WOWD31ouVl/PA92ZgaRUX2jtjyvt5WdARA6b1ZgA+/BWZEbICxs0+cWmoXpiWjW4uSi+0Os62VZlJeHD3lc1HN+fn7tpdWOV/nOGFHog4ODDTswnTb1NQMxcDj34ftgLJNWUlN/+udt7KOQI7ky4iSbUJC+9Th7/w/gAMharsgDFuU5PDk5WXhd58GOj4+v6YD/M584AkIUzqf/OBSDs0Ha+mSd8vXem+OwzfruMBb9dahsULcDGOUQ3VaXXkTw//68rewEgJh+I0CAxCBi72mqiqL0cliyXNtGGRyf2nNjGN6YhOHxcB+UyDtKmSCSkI8ePdrsL+gkL3VjECzdwmBOT0+TLNftzVZ8Hcriz5Q3velNefDgwcZ48Iwk+6zMzg05ZEuyYFqwMxTZwOWEKn1yDoK58HXNGHv59+zsbAhSfkhxkkUY5eVVvL+fnTJyBNYH5NC6wbU8tY7zeLewwdYPbHKb6Cj64ryGAdnM2/ZAMSB0yEXfmo342q6nV3qa/d9UdgJAkmW8PFoHN1pzHsU3AyVZKLkRvNsafQYICFsTfNi/AAAgAElEQVSscE3LOwxqI+7+ejyuqw0OOj+invZglKbn9A3jhXWYebAqY2/m+N5bxC1/7zGBPfQ420h7fmFp8zwvwMC7Vpv5WEbtXMz8mOtmBfbenu9OmCK7ZqOWweh4h4ccc9J8xFQc4nZOz7J2aQbiOe8+drHj5RrPsf/fBUR2AkCaYjnpNZqw/o7ycI2pnz2aY03/Nztp5Hff2lM7zLi4uFgwCvrjc1AOkmZ+JMC2MSbZrHAwDq94oEC9tAkNNwPovQyWlz2cWVMDc9PlUb8dHrQyI3eHXvbEHbr1Tk+HgV42pT2HdQ0IdiwG/U6e+gXZze66z/TPy98GkvbsbmebTO3w6Ldl2CzbutYOrNmM+z3Kl1A3ebbbyk4ACKUN3Mft5YzyTd9G5zj27vPMCHqye+kTw+QuzuTqmRH2mDZwj4l6ASKvSiTXX9fgsVsJmvVs8xKm3txg5ToMOiQnR3kn2uAaA6Tl6HwT7fT9LSiqVz469+L6/JsZg/veAOaxm0042d7g16tuzUxo00lbJ6a9umXWZ4A2KzPYGABgJTeNDfmgG80ArQ8jBufSKzDUOcpXjcpdX2350SSfTnKR5Hye53dP0/RCku9K8vlJPprkG+Z5/uR0OdpvS/K1SR4m+QPzPP/obW2YfjZ4WAkYGEbqZV8EYGo9UsRR+NCKwjW0c3JykrOzszx8+HADGtM0LVYFnMdxGzacTn4xbo83WSYTKSPgbJo5WnazsW5L3GL4vJLC7Mg3vTmOd3/57hUiv5SpmZ+NxuPl2m2AYCPDKAlZfK1DJQza3n2U72EVxjkVWA71mcE4RLGDITx0/XYgvs1hNHetL54rg7yBgesNBp0H8bybvbcDaoC7qbySrez/4TzPXzzP87vX39+f5EPzPH9hkg+tvyfJ1yT5wvXf+3L5vtwbSzMMhNwKn4wfuNKfPVkjL93KDN23F+kb63zfSoMNijOi9CgKiUgnJK1ISa6tIiTXH9VIH/jzfTLJ8kVTFJQOTzlahvS5Hc8bFEfeirnqG7Xag1s+3g078s42bI/d/aQfllGvEDH3/PHIBAAOeSFLj4c5aXl2yEB/GRPy43kgJK9hgQ061GVdbntoOfR/j9P21AzWc8z1I8DeJvcur+VemK/L5Uu1s/7/u3X8O+fL8sO5fIPdO26qyNSXAdtrmFr2sSTXjJnfXIdpqfMCrXwI1DkGPI2vo13HjkyaFbCLPXZPXMfnvsYe0/kNGyH99NLtaOfrTbklg1P/blo7ym9QLHPX0bF7h5keh0MLxtFz6jY8fgOQmUPPJUny7i8G5zkEqDsZP2JTNlr+e+XMMm4Qaj2xPHtOWp4cN4v35w7lDewjoPAcbyt3BZA5yd+ZpunD0+U7bZPk7fM8f2z9+eeSvH39efNy7XXxi7e3lqZ5TX1bcflsT280dR1dL5/NRDp2beXqbcmOfUeUkzCAsODi4mLzekSzEidYTeFHIGrwGYVkI+ZiJTMI0W8bMedQrFTtxfy97w42te45pE/8brnSDyerXQ/XehxmVXYiPsdysM60t28WYABw4Xizk+4XwAcT8bb8kd73PNOW9dRz1YyDvjpsGemL++C2R05hGzOh3DWJ+lvnef7ZaZr+vSQ/OE3Tv/CP8zzP0zTdvm1NZaqXa3vAHcvZiMi+7+/vb95GhgAdF/IdBB5tBd9G3TjHQDFSTG+hHrEl2nUIkVwpBd+px3VyjfuNkVipzXqSq5i2jcHXjgqyANSspPaijqVbsTW31xSb8RlE7Aw6TOh2nOPyGLaxAPd95GGdS6CtlpHns4175FSQ/+h460ePYTSXloNljS54zszgGQv1OFfUuotNOfmN7EZJ1y53ApB5nn92/f/j0zR9by7fSPfz0zS9Y57nj02XIcrH16dvXq69Ln7xtuv8QJIPJMkXfdEXzZ4YK33fDeqJYNBe7uuYcN3WIp9hULKHcnEsbW/TyS8mxZPeSSuO2djamJp9OJziP88ZoT8uzj0k2bwmk81YpvBmId0vMyNvIjPbcB/dd1ajvPw9z/PmwcjUyd4Pzmc+GSPFSdh2AL7bmefMkgBmnm10BgmDjROwDcINPA6PRqED/WOncesJbXf40HPoPnrczRatyz5OHb4nhvpb/w1GDao3OZyNTG789bJTzybZm+f50+vPvz3Jf5erl2j/yVx/ufa3TNP0wSRfluRFhTpbSxtwD9RC6LyGEdQrOe2dklxDWseFbtt5hHmeN4lV7zRkdypMiP8j1EaB/HSrfniQjZVk32p19ZDmvb294cu3rUQogt+zC9gCGt54hxGh1Oyk9UvFHXIBaBiYb3ijLeeP2MpusHj48OFi1cTs0QZjwPZdvP0oxNXq8tmmAAnF2907/jfIoz/02cbtfIzZSLPTg4ODza5UP5DKCek2ZOtgh58d/pmd2/G1LidZ3K1sMOrwFhlZH/z/NvBI7sZA3p7ke9cDPkjyV+Z5/j+nafpHSb57mqb3JvnpJN+wPv8HcrmE+5FcLuP+wTu0sRicQ5FkudnGSG+hNyr3ZAAunY2mNA1HMdi2bkAxuu/tLfeGNCWmr5zv50MATk3fR/1BDpaVvZmXNfmt8yT2vHjX9ojdjvvWCtXfuw57UXt1g53rGHldb9SDbXYuxSyjPecoj2HjcG6EMRgkOGd/f3+zc9c6YBk7NAWs2U7vBH+zBq6zHFxvg4/l1o7PAG5b6HF6DgyQXgDofo3KrQAyX75E+4sGxz+R5KsHx+ck33xbvYPrrlEwhOsEJ8UeoSexvUhPSNNblKELjOP4+DhnZ2eLXZyAQVPmbeOyh+5Y2BMHyDl04dzRcqIVxseo22wNGXin7+geF+ToOp1LaqM0mNvjGcyYFwNWt2uDdXgBOGLIsMxt+mAZUG/TcebE51hvDA60O01X79W1URtUDBy9G7jb4FrGO2Ku7QwNHAaBbc7CduV5cEhlvaVvHUptK69lGfeJFgRrRTNit+KNjNVKMwpfRtd3TsPFFLlpsyejqa7BbmTA9MGrMAaMrpvv7VltNJZBsy+XptOm41zjPrdcbQwOEUZG0d+5duQJDbLeCEjpHJHH6znd5pndlmXh65G5DXVkXJa7Wea2uWh27OLf+lgvabcsR2DMOD0HPR/NSLptxtWyHpWd2creHqGpdQsaIYx2rvJ/NIFuB+PBc3bxObAQ4ks/kWxkqFzfAMFnfu+41IrofrrOJNfyEb4faBQXN4OzYoyy7267WYeXbD1X1Ol8h+s1SHh+uziZR/jn7wZsjIBEumXXTKznyCBhJtTys7GOvLvzYs57GGQNlB6z54x22g4sw55D19fg6f5aDuSkmgV2qDeamy47AyBmHCO6m1y/h6NZyoimcm0/mQoQ4LxRsYfphFkriSfDBuflteS6J23G0IDChN605djK6TyI2RB9ob2Oid0XDNJyaMXuz8io2ZhXOVy/6bPH4HbILTk0QuYovcGC4wbNfqJag7GBzpvtcBSdXHU/6COhLcdOTk4WQELdfG+nRl89r/68zQk4p9f1tc1gN85NGVT6+zZw77IzADJCZYOBB9Xxek9IAxFewnVxrkGoC5utYB+jm+qOjo42KysYhvep2IC4zsY6isvtldrrMW6Scx3yuB+mo/bqlhEGCpOiLrMIzwfspJetUWS/UtPvQTFweLzI3YZg6u3cB/OOIVAXqx4NyL7NoJ2RgasfMg0oYHTeA8SYfNsD+uX7XwzO3rTXe4daF8ygOtfUOtp24vk3G2vGZF2z8/V8GHhuKjsBIKZgjbjOQ1ihTT+3hS3bKDt1Ozu+rdCHEetgrZ8XT2GEPFionznqMRq8TCGnablMaTChr7Q1oq4oKkbV29x9jw9t4qVhDJ1UboXkGP0yu2maTdLRDKG31VvRPa/zPG8S1VzPaogZhevkPS9e9WgH4jE6J0R7FOaY/hjM+tkqtMczW5uV8GcgpzSDaqZpWZvpmn1Zv61jOBmS0YzFTnPkzBye31R2AkA6vmzlSJbe2F6rPTirCs1Y3M62kGdbsRdvgPCzI1C49tBGe9dp6o9ieQ8LhtuhAnVafv7dTII6zSwYhzffWSG9G9W5C+Tnxxn0xjIboJXSS4u989Hz4OVoGwD97VWeVnD/7vCBuszO+jqHKX6UA8dYkZumabOkayAyoBjI3ea2HdEjJurf28na6D3f/OY71K0brsftGlA47jnaVnYCQJpqMfFtcB0v+7sVBGX3eT5/FBqNSrMcvJ8f39eexfUyoaO8B/UlVx7RTMT7Jjw25MN3lMXG7vCF861wDQIN0oy5jd+g2CGMj4+AwXI2a+Q3CgbLODrs6rCK4iebEbK0Hhk4mTPqtOz9u0M7ciokbPumRv4MWGwutANqwGgQpD8d4lhnOn9hIBmNvZm6/7fN0NZof1KXnQCQEX0yxU+271SlNLKP6qU42db5lG6jk2YoMkrkhwIR0phFWIHYpk299q6+r6c9kDf38N0hzk2xKqwDxXc7tEEeJLl6MTfMws8FcZ/MSgxAVryb5Ovt8dsSsrQNwLa8e8yWqwHdoEM400bdyXE/9gBA8LFRqMJ55+fnm2fRNlDZ4D1H7qN10+eiV86jUUZO186KMnKqHfL0sZvKTgCImYFR1IO0h0iu30U48notTFNte7ptSt4eGUUbPVTZioKCWjHOzs4WVLZjXrwbBUNIrjZ80QdTc9/rgMxQEtNYwMArG8gKQALw/GLwJBtP6pCIPjuRi/GMEsFmAZ5TMwAU2PmiDms9zlEYN89XeQwDsvWB+tqbe56tm/R7NMeErT5OMtXGSC4IPWUjIv3bZuRmjgBV58xGBt8AYzn1eM123Aez1G1lJwDEymr2AX30hHryG0yYMHuhUWnvPtqFynkIFw9DaMEKjFclTAkxOBQJA/ak0kf30wrmcRtEkuWSqd9g36AAKLEiRP326siUcZCkned5Aybeseo6pmla3ABHXohxJ8tXVHKuwwUnVT0vI4ZifWlGaP3pEMh1wTAclq5Wq8UjHGAQZiT/f3tnDypbltXxteu9fveBgWO3BtINfiRjpgwNo4kIYmCimWhimxkNhmpiPGkbCiIKIgMDpoKJoQM6iIFj4weKEzioKIjdVfe9e4/Bvb+q3/nXOlV173vTU6+nNlxu1alz9sfaa/3Xf629zzlVtWUefrr9kye7p7ObqSCvq6urPbbssIFi48/9TcmoON8634WIeSyBMp21+3IsgVp1JgBSNU8cZbEXcrbf6EwdBh7nDjpPRuLTQOFiim5BJ6A45vZdmI7b7b1zMh2ipIexfJwDMDjkPovuc9XO02Zsa0X2Nd5KbkDwZ/ps8DIgOAnrc2kjv/saszIzVHvLzF9YRs53dAaDR6df/HeIk8u4mSyFcdBf7wky47VuWV6Z3PR8Z3I7dSLl6flkLtOuLGOzYZ/fAdFSOQsA8QBMO3MiluI7T34aqNE6E08OMzoah5JRzED830a/Wu3ecIaRQ+3dr4zxk5k4xPKYLQfvb7BBGWysuDlG30lroHVuJh/lCLtyf3yt+8r/XB0wW6DPNjI/AJr5dd+8r8LjdU6Dej33fLae+Zpces1lcO6N4s9L5V61yT6lE0EvcgOijdf97pyR5emcXudQ/dnz6Hnt5s3/l8pZAEjV/q7SLB0F4zojrKmqn47OMQsrk1W5dOnJyGVZKykUmtdcZv0cN9Oo2nmPRPw0Ro+L8xIsu+Kx8J9QxPJ0UtYyMGMyc7ESwzg6T+p2mSt73xxXhm+WvR2L6+yS5849ZZ+cFHdi3AlTAwdgZaDgZjnOJ+eBbFy8amOPn0+ycz/TqAHYZFNVc/ZpuTM3jC2dB5+zzezLG8FAqvaXbNNgklF4wJzvxF53bQrDHsx/zkl4SQ4loh2vxCSzoa2cPL67b9RnJsC4DCiZaPU4uiU3GFKOjX46bLOMuv4tsQuHhlyT+Sdk4/OdTPXcYGScbzCg/zBDM0SzSIczllF+dls4AeuE2YMBJp0HfXfyFgBy/ZZZho3WA8vJzsVzleUQACQrty2lQ6Y4T3OonA2AJLVK2mclW2IpGJhpoc839aMN2k5j4DdYg9t0nsOUHOP2KslSiOSnVnEedWH43lQFk3GCzswh2ZsVu0tIenxmRg5rLEO+JzPzOel9XZItAZaMj7q9BOt5siEgI2+Vx6sn4OQfhmMm4jwHhu93C8NA+A4z4QY6mAnX55gZb4Ijusn/ZCSeQ+up5ZW/J1N3PsQ6smRL6dAOzWnVGd3O36GuldbnZShiGpbhAMdT2I6p0yhcl5UJBmKFdPumqCglbTl25ncn3VBqFy9nunglxMrosCINBsUwcFjGyNV1W95uI7/7PG86c/4k210al+cvAd8hB+fADDy3XqEye0Be1O3lVzMNzw3hCmDhEIbfzYwMNrTH/w6UkUmCMsVOznIyMHUsIoHJLD2BySWd5RvDQEw7MwRxMSJ2Bp+JJAsrFR8DT+qelLqL7x2D+lGGpqBmF7e3t7OnlvntbulxMnTwhJqpdTkJ+my5GBTMqDzeXM41sFjWyJjfc77MtmjPm788P47DDRa5amH2gnydgOQ4bSGDDugdgjgcyryH7xtiXpOJGBySkdl5WQ7JhP3Zx9A7y836QcnvLqn3S8CR9aXTPlTOBkCSRSCwU6iaabn3SmTc57YySVdVs2sx/gQBKzBhhoGIMIr9E4QmVl5n1R2e2FN6nEkx/Zk2LYsMx6qOPzgpmYS/J5B4g1p6Q/cNIAA46WvKHePPBCG/OblrALQ8DICe+wzZGINXV8wQk13APAiRvA8kAclMpANp9DqXepeWYjN8sNPr9GGpJPuwHI4xkWPlLADE3taTjXJiuFXzO07NMqw4CCtpnAHCVK5bGTD9p4233nqr1uv1VuG9KzW97tXV1eyuWd+vklvTUejb27tNR366uFmI6bdBEEN0nwEuJyOzn4Cd63BYl30FCJKdcB3/vdJj5sN4XBzyIGfqzrDE81E1fzSjQcjzyrV2RmmYDin952d6ABwGEzOCXNGx86INy5fjDnXsGC07s7xT8hJdMWtM8E1Z2HEdA5GzAJAUctI/x7n2tElPPWhPLucbKBxbWsk9WabK7g99qqq2H0+fPq3NZrMX8mRYheLbqBIMku5SkplQrwHYoZS9eBp3btYaY8xYA+P0Clf2ybImjMjwxYpphsS1uZIEA6SuaZpmdz/7aeo5P3zPHIJzTQCBQcObw5wP4XxYAGPiN4OzQzA7wCXd65ZiXQxKyaYeUk69zrp8LAdyUo1jjM+NMb46xvj7McY3xhg/NcZ4e4zx52OMf7j//333544xxu+OMf5xjPG3Y4wvnNTr6LiV3Kht72QF9IRVzYHBBm7Pmcf57+OeMHs3K6TBinO92ckK4qRdjtkbqMy+Om/vPIVlYbDwOb7tnpvlWIHxOTc3N7MNbhjqUh9yXgxY3fx1/ctXWnTnZD+XkrcuTq52xmPmynczAMILA0u3icwOy/Lx/9yvkvPv3/x7OqpXKQmwS+Uh7ZwKZR9W1Z9N0/RjdfeE9m/Ua3y5dtV+EpRjDMbe0JSbiXN8n97ZdXYlUd1g4ONJ/11vKp77jwcy+OAJzawc3ztUSRnxGQOwwdnAMM6qOwX2i6XTMDnX98FwP4/v0PXLpgCWfLGTwSmBwcvGBjiHjQnqBtEu8Wv5WGYOBbMPbtv03nLOlRQ7FvcvQxfPqROwzGmXK1oqOcZXBZFTSvbvUDkKIGOM762qn66q36+qmqbpepqm/6nX+HLt9N7+zgAyyebVDh9P5tAZdArFXpKXKmFs3gHYsQZvzMqQJYHL47K3tuH4cya8TKWTBaXCWj4Awe3t7XZ8jJXxcZMbhuZHHaLkXR7Dx3wcIEnA8lz4N4OL7/zNm/iSEWWeZozdblu+MwbmxOCfLKRq/vyUDvDof/ffuQz6ZvnTJ9djwEn96pjTY0Hk1OvSmR4qp+RAfqSq/qOq/mCM8eNV9ddV9Rv18JdrH307XdU8H+JJMb2nIOAlepcG7YlzYtaelN9gG8TAuQM0Qyz3nRg5wY3fOuWzJ8pwAKNgTM4bJEW31+48ecqnAwAMxvSZepwDcZ8o2UYyh6zH8+256lZbnO+wQ3G9VfPt6sxz9tHA71xHroT53ph0UgZ0A4yT2+Q4WLFjKdeglsyLOv2XubZvZ8m+HCqnAMjTqvpCVX1pmqavjTE+rF24QoOv9HLt9957b+93GxEeERCxh7aRJMVlMu1NMGoXQMjb1qt2D+utmt+tiaLyaksrZO5hydAkb06z8lnpTP09Po/BSVBWXPKZIvSDep20NXXvEsi8VzcBwGwgi3fQ5mqTQ0DG381HAmN6fc4xy/R7dGnHgGjA8DE+J9vqgAP24jDFfRlj/oIp5oX7o7ySmGFNxzRSvnZWjwGSU4HBzvVYOSUH8s2q+uY0TV+7//7VugOUbxGajEe+XHuapvenaXr/nXfe4djMmPzH7/ftbQeayuXvSRVTgDZYexCHMpvNZpbkc47A4EAxoGVSLvcqVM23mbv/LjZyf08jtqyom347PPB4sl7LwONxX5L1xLy2ymfm14U1S3kY53MynPDYkrWlfHyt+5qhs3/vZNsxBf/3GCzrvN55mM6oOW79SMb10PKYEOZYOeXVlv8+xvi3Mcbnp2n6qO5eZ/l3938f1Gt6uXbV3GNDAxGkVy9yEtNQqcvKjFBMMW0IL1++3L6egUnzxiF7DXurexnN+mrwMvXMJcSqebzNOA2i7qMTxxmyUA/eM9kLY0wjoO0Mo0IHtsfzYb2m4hgPfelYC+fZuJ0boD/0NcMo7/fIMCh1wcd8X1KunFi/aIMdqe5b5tTMHMwOYHlsJmRVa4yxfco848/wyn2GVaZenMoOHlse0sap+0C+VFV/PMZ4VlX/XHcvzF7Va365ttHYMa4N1mwkkz2poExkp7TsMbCxep9DLrdagfluo0fBrMzulz2tE4YOWfI7XixZAZ/NZngqmZ88Zs+FV/RYDELI2+OygWcokse7PAhhoY0w80xZAEDnkagH+Ru0sk82YierkwF5eZbQ0s4Bmfkp89TfgQ7Fj3Pw5jeHbAZcs8YEEtuCjz02jDk1hHnIuScByDRNf1NV7zc/vbaXa+v6rYDS23WrHTkppotWYHtce0MUEu9ZtTOMzWZTz58/31vK7RQ/PW5ScAyHlY9cEiVs2mw2tdls9n4DNFB2AJCx4bEBEudabm/vHte3Xq+3ffM2fedNkqGYeXQrFj7X7ABZLV1DDiIZD54fELm+vt4msZ8+fVrr9Xpb783NzXYjmAG2av6WOXITBg6YSFVt6zBLzKVeHIwdUBfKWIbMiVeSAB8YbrIl10G93Qa+x5SHhDCnnnsWO1Gr9rfooiAoeZ6bG2zSsE3Njf5WatPgNBh7JysVgGb6TKyLsnlJFCBI9vDixYstu+AzLGG9Xtcnn3xSL168qI8//njbb4ODn0Zm8OOcDA+olz4zLo5Zfpkn4M8enQKo2eNnKJfsxv2iXjOPm5vdy7rQBdqw4RJiAA4O8ZKl0LaTp2xLX61W2x2uOc/pfJxb6fJEyUrpD8V64nY69mGG5XOWPh8raWNdeWiYdBYA4jCCAeb9FCA5COxYu6pm5zA5fqsZ9WB8jjGt+G7n6uqqquZxNQaa8TN9cFI2AYLPNzc32+QsN96t1+vabDbbTVkkcc0azJDsHWEpVfNQxmD57NmzLRh1sqc4Qcx8+HUUqbAYgVcYXLc/O3dB3Vbq1Wq1vQM2j3PXs2+VNzg6J+OVE4Atcw5mtozNKymA/hhjmxt78eLFNifGuJ23Qa9ctzfcXV1dbXXQjm8pJOFcg5kZ3kPYSM776zr3LACE4jib/+kVDQYct2dID1m1S2rlOfaoKDjLgSgtD4yhbeqygtvbe+UDBfCmKmflHcrwn01sJHUdCqWHrZqvtHjzWOaOcgXDcnJ45LGlksMSOA4IQ8fTsDI8sfd3P52TMTh6rg1ynstkC+6nnYH7xLzTHqC/2Wy2T5Wvqq0DMnj5/hszQIdx3jfEGLwK9vz58y2o0M8OPDzH1jPqtd0cA5JTQMF2kAnjpXI2AGIPkh33xPPdFK7bW+DQJyfCxpIKaqMgH+G60wgpObmOl/k9AcbhTWfQDk24hv7ZQLg+7+K1Z8arY1AGZMvNf9TThX5mQLmShLzyu+cgQ5iOkhu4aYf+ew+F++uQyvOBrPyuW/cLY+5+g82modrBAZ52Jsyj58SJ/QTpDBsSFNLhnWLgWdchsEG/U3aHytkAiBG8av/JV6azVnYG7bibQnxsJa/av6HJtJM6obKmu10Ikd+9j2G9Xm+Bgq3xgIbBw8BiT9XlJDI2pv+5wtLllGBVSwwsr/G4LdulMMhM0NTe84uheWXCCUzmortFAEO2XAxoOI4Eb+vD9fX17DWYDnUMTLzLJeXCfMHEeKCyd5kmKHruzHy4Kc9j9LkpQ4NV5mWOlaUwKQGlSw8cKmcDIJQMVdLojdRdTO7JSaqaQjTVrZpvMzdNhdKSm3CIsV6va71eb1dQDA72QChitzHK53LekydPtu0wbj7DQAyyXMv4SAwiw2Rv9mCp2JxvIEC2lrPnzIwgFTI/e14OeVLO95ynh+T3DEXtkABAvjv5CasDtMz8ACLm3U8UY48HdToU8+MMzFI6hgYoHiuWj2Vwah6kmxvL2P0z03xjGEgqkv93Hq9DVBuSvUbSaYTvzUU2Yk941x+zHu/y7PIZToh2uZBcgfEdsO6HwcP96cZH8T4WG6wTpVaYTITa0J1U7ADAHrGTV3pme1NfZ1bo67OY9TknxPkAQHrTDBedMHW+yjJcCufQJdo0A+H8DGtSd3FauTrS6X3K5lBYkscAD+eosqRTSUbalbMAkE5YqWBpMFbCjAsdXiRFR4DOJVTtlm1p23TcS6QAgo0do6TdvA0e5TQ7cX4iw7XsN3LI8CTzJ068pRyr9u96Njh04Z1XsEzzrWje6etQyjPknU4AABapSURBVP01OPgY17tNn7+UT3F+K/NM3J9EX2By3grg8IixO0nKMe+RgZ0gk2R+AIj767YcHjHWMe421vF4RI/Z+tTNZQLzIaZgu+hAx0CRoV8XCrqcBYB4Qry5xglVG1tmru0lKMkc+Oy43yjrEIIYnT6ZztNfH09DoZ/eNemCsTnsYA8CAENuwPsSADwvP1sxMjHpEMR7Jdx/+p1ATfsdM8w++Vovm3oOM5xEDs4nAOKEn86XmDXyn+M8AW61Ws12gvoJ+KblmUOgjgxFMoTL/IqBn0db+hyHqr7OOu2l4NTTjlUshT3JHugfJW3JNpNA7WuO7Qc5CwCxYmWokYPNz77GSoEi2MPlxLmgRI6XCR2Y/O6BOfb+3jWarOQQlTUFBzS8hGhD8zkGAYMgY7USQtUdpqScq2q2XOyxZWISw7P8DMhJgT0fHDfgYOj01eEXn/1nVuQxUHe3kSvpeBqOX5iOrAAwP3nfTIt2CDm5nnqtj+nMkhGkrKyz/pwO03Pp8zuwzpL1VO3funConAWAIGBnwhMpM962cidSd4zA7eAZvfPRBk4x4gMmznH44UP+77AlQ6CcbPrLWDxG5yf4bCMwczCTqprH5nw3c7C3csxvYABMCbcw3E5h86VOaRBcw++eRwNC9iFXR8wisu5uznEKrKpQHMZkQthzzpxxHiHRZrOZyZoQhkcgMCdmtrlKk/cJGSi6EJA+2EFajpaPtz34s20r5Wfg6mTZlbMAEAqCTRbgATqH4VyF/2xsHfuwYEyRvXO1avdc0/QeySz8PUMhr8wAQlXzjUKUVA7GT0kKakbjc12PDZDnm6Qntqc1s0q6Th+cvFwCLYNTJmf5nfodkgLqHQv1LlLGmfNivTFAWdaZ98mchzedeayESjw5H12FWSXzsexzadp9Qb4Gg8yBME7GkSEnxY4o9Z16s02fm3p2rJwFgDCw9JoeQCZVeWo453miLfxEc0+g4+IEBBQIJc0svZOihDf00+c6fEmmkZ+9kpPgkt+r5ntnUrHyHI+ZfqaX9+9p/E4Wpty4LtnQNM03Z6WR2MizbUDQIVkuuyNTcjEJcuiGx+Yw6uXLl/X8+fO90NI5i+yv2YnZHLpAHmuMMXs4Nedk/srMmtKBHscMHB7nUq6Cvnc5POqxPji5f0o5CwDp6GcnXMfjJFtNuVKhjebUmUphJuNbyN0eipPAkWwi93XkszDNOhzmGEzIxbhN090useyx27vbEDO56GJW43DGdTv8WWIj3oxn2RlwunAjwcbHqDOBw56d8zwWt+FcEGEEbMChlnXP4OTVF65lh3LW4cR4yjB1DBn5/TbWvRwD13G+QcTMwrLN+jJUSgZnUO9kk+UsAKRqX6mXaFTG4QaIqv2VFuoycHBeh/wWMl4Ko0kmUbXzgtlfe0B7ti6RlcUhSEdxOYdjgEp67I4VJL32GAAqjjlBmLKlDYdJOVeZ6E3A4BqvwmBkToqm4vPOFvfBjMhzkKymMzQbmUHbrM6rSQBXJrktzwylrA/ZJz77ugQih3qu13K2/qVzdEHWHbhYRt2cZjkLAGHS7BmgpAzI937wVntfj7KZAdjr5gRnDsEG7pUUg1HuAelWZeiPvUeGB867GOk9eVBhriE+t7cyePHfS6uOyc1qWClwmxR/theeprvHFBiUcg5TUTleVXsgY+Dj9wypEgQ9dn+3/OijV6yQC9eSD8p289YFz3/HnuxoqnaPb/Ay7mq12uZNOp29vr7e3lznZX87Ro7Rjs/pZO/+GIRT9vTTYOO2urA5y1kACMV00+hctXugjeP9qn53H/9Nmw0EGQsCWEyaVx3MIAw0nOe+uG/uv+NTwBBFT8+K5+Fab333pFph8kVQhHcOfazA3veQHpnfzLTMnNKQaNtjPpVlJZB7Gdee3ecbEFer1UxmL1/uHmCceQbrlcMfvntXcvaBsMcPTM6SeQ4cANfYyVifvFxvlkKxrGHEmQex7nsRwHV1dTq8tl45XOucgstZAEhS26rjN5BlHL10TSKzvTVKZIV3fM9k4/29z2OJvbjYSBxmJLDZA9qbOkSwcpvOAkicx7M7cuclv9MPe3uDgpXUfe7CvardfR9J87PkvHm+HcJYbp6PZD6p+F39fHe9/PdGNOTDjlCHR7RlVoHxd4BuVofDsrfPcM4g2sk62SXHzGxpl3mzjqWzzdDF8jbrcih4qJwFgGSuI+lhoqwLv+XvyTaShvKXScmMAx0qoAzeqm5A8Xc8UdX+MivHHHLlUnCeW7W7D8af05DSa/sP4Mnb1tPgl5ZvfX4Huvbovg65eqWN61ynz+0cBN8zLPH402Mn1acOM6+bm5vtc0DsxDyGfAJc/nfIbfC2kRoM6JfH0AEvdXA9c2M5uq7OljyvPt6FQMjm1HIWAFLVK0p+dshRtVv+TTTmXC/DWtipoB3YZHzrOjKRaOCx8eZ13Xcy+mnMZkjTNM22Lid1tcejmL6btjuv0e3P8LVmSCgoFJe+c12GlpZvNzb304ysA6m8Sc1zQN+urq5mAAuzshwMjHnnNTmzTpds2NkPfvc+jwRMy8R6Yfl1eppj7XSxaj/BvsQWXZfbSNBFFt2KXJajADLG+HxVfUWHfrSqfqeq/uj++A9X1b9U1S9N0/Tf464nH9bdk9k/rqpfm6bp60d7smtv+9nI28ViKG4ylU4pM+mYSsF/6mLyHQalZ8r+2ksQWpg94Mk84Tc3N9tdkvTPSWK8IudlmERfvaO2amcgGD11kuOo2n+lBNeR16CvfkqbAbwbv8sxVkifzYiQUbbhfjpkQ+bODdAXDLsDRIOKwSbDXredjM5hVZ6Hc6ONLsT19wSlTnZLDMWgwDXdd/cp27GduG+d3bmc8l6Yj6rqJ+4re1J3L4n609q9XPvLY4zfuv/+mzV/ufYX6+7l2l881k7V/i3cBoClECaVkv+m0xmeJFpnWOMQhuLkGUaWypOfq+YT4RyE2/LnZ8+ezSbVND9ZVNUulHHfvMEpk45Wkrz72HVDz7u2HWt3+x46pUtAR+5mBdnXPG4jToaWG6kMCs730L6BxUBDCMLxPMc6k+NNFuN7eiz/Tvcsi2QiXQiWn/1nvV8qyVI4ZlBLYOrKQ0OYn62qf5qm6V/HGL9YVT9zf/wPq+ov6g5Ati/Xrqq/HGN8bozxg9ORl0t16IpHXq1W7ZObkjksCfiQR6Htbien6ySnwdvq8qFBFr7Bz7EzissKjJOnGKVptUEswyCMnOttoB5nghyKzViTpSEH50Bs5Em9c4OXZZirLOkMOpkfUlquJZdjedBOt7Lk880akJ3zFgYxfrfxw1gy38D8kcROFpxz0rGdLnGZbLcD60zKJ3swqLgeg08ep+1XZiBRfrmq/uT+82t9uXYXqljIqTSUDHOcFM2Y2/TSG6kcungSPTHQP//WPSAo6+A6TwoljyU4JrMyuNC3VMD0nCi6Qcrypj6OWfbJQACLpRAu5Z7tWGm9kpSA7xBjSYH9G/oBOzKz6gDUYGN50w+vVLGkb4Cpqtl+JDMIrqNOJ9QzjLFcmNNDBpv64L8lQLBsUs6ZIHcdyTyXyskAMu7eSvcLVfXbzcBe6eXa77777sy4TaEdity3NROiEXehnaqa3/uR8bWpsa/hOh+zgljJ7JWqdnfeejOQwSZZk5kGIRLhiPtJP5xYs2HYAAysY4ztBjIbQ46Z7x0QO+zITH2n/JZTB0bJctxXrvXKTQIen/mtCzupyysXZirU5WVPgMiyMvCtVqu6urra6wdsBV3wnoycN8uTPnerKAaWrMuA4LA75yvP9TUdQJi5HgOQwxvd5+Xnq+rr0zR96/77a3u59ttvv71F56RgXupMAaiumcdOSk3plkmTwXC3aio0/amaPxbP7MTLepRE/qr95TT6ZmqfStbdmGfv5scJOKSyEtnInVdIOXaAnDKr2r8jNKkyfXTdnlf/zrj57jnPJdoENcsC4/dxzvMcuc48xyW9uWWXMnP451yXGZXlkIwswcMy7OSYc9eBhG3K59tJ2xHZgR9yzJSHAMiv1C58qbp7ifYH958/qPnLtX913JWfrBNerm2Pg3fIBJY9ZbcE6fPTi+UkdpnzVCzqNkBk3iPZhCc5cynOedDfqsPvPe28buZJ+OMxfhm+mJ1Qr8eeciEf4MTjGGPmWclJ8fnJkyezRx/4P2GKb9PPxGIHqNlfFNrgYFmawaacvRpC3/KxAbTlp5i5njQm98G646fte4es73LN5C7HrLuWj3NVntvUYfet08Oce89FJqO7nGRXTgphxhjfU1U/V1W/rsNfrtf4cm0rc5d8WoqH+c17PqrmMXzW6eM20qqaTf6hBKDBBnbgurOPXlFI7+Qwhe9Mpj2In1fRTbDvDfG9HqlwXgblWNXu3THui0OpvFvZ4+N3lNYKz9xZQb3t3slXOwgnWa0LHOO/E718N2gSXjixmSFPJlc957TrOekYqMMl6nLo7NAywYT23GY+X9b9y7CG6/3f+p3nmUH5f153rJz6cu3/q6p34th/1Wt8uTZIjXIzSQzGNKtqf6NWeiVTsQwHPKH+3wFVAhJGhVI6RjfYcI2VwGGavaKvoeBxiaUxXq8mZFLOSmsAqaqZR+VemVwepR9pvDAuL13n3Fg+GGf2aelzJj3zzyyRsXiefO+O5ZZsiBAVgKVtg6wZGOclE6YeMynGCvil3poBZdhmx7HEJtBldMFAZQbdsWqDeeq7wTvzfaeAyENCmG9rscfge9V+3GtKa/BwSXS3Eroux7IYia+1gmXd3qrO9dkvK4RzL0sxrb8752FloF6/l8TxrttI2svnpOM25kPeJ5OuHRNJOaZskFkqb9bFuDKvBCjbYBzeUJgfy9dM1OwjHYbP9wu+LC8bpnMf7hd1AKidjpkVU4cdna81ezTbcjvZf9fvPI3nzKxtCcCWyllsZU+aZeFYuUwHlxSuar5C0SlnCrlqvvGI4yiHE5eZC7Fhdlvn0yh9B2+GPY6Dc0MY11btbmDL633cHhhvmnkAe0/G7F2tKXPGAiuiHmRj0DVb5I5Zh5MOoTw/2VezEp/DPC/9tz65TYc1Dn18ToaUALoBNFdxbm5u9h4fgb7kKlLHqAyQVfP7njrQNuil0XssnYNNJ5EM3WOw8+zKWQBIJwAftxEtxXRGYiurJ7lqfierKZ6pJLkGbrXmOnsY1+f206viMb3cS59zvN4v4vHhXakjlwe5zn3JJVQbnceZhoYs6GO+StLtUexJcws9xfezGCRsvDluQkXnoxIsrAOWP+c432OA9Jgy9EjWaZl5rLTnnErVLhdFcvvp06fbhyA58UxdHZAxbvpJ3Qnmnnfmziy5y5tQ+D3ZuUsylixnASBVu405lI52diibIUcaoBUnwxnaMQA4iWrQgA6bFgMOaYS5B8DMwMXJUs4DsHjRkVdDHMfaAH1rP785tscoLA8zkQwfDRxWMrfr8DHHZaM3zc7wyV7S76s14zAQen4xOCeO7XFdh2XBtYzJO04NHj4feR1KRFftXjnqZX4n2h0OWa/NYinJnpxX6cJLO0QKMjCj4tpkyr7GIfaxcjYAkrQz0TLBIwHAsRzFtNpKnZNgxHZ+gf5YUbo8TO4p4H+yAxeHH/aGnjx7IMf7rsNGyDHOT2+bRmiDyifhc0Md9fDfXhIAzXF5fO6vZWFjT8W33O2drRdZP7I2gJix5ApIzo9XkdznTLhjlICFAdU65dUa7z+hfhxmAkfOs3Utx7TUNv3M/VMcz9DX7RpsTilnk0StmhuyEdJC9P8EjjQiK1rWaaFaoeyN/VBkK7XP852jHLNnc76Bc9y39P4+x14wDY1EIpOeoRPFhoYyYbxWRrdrVmSgtgGOMdokssdnRuHfmGPP7xI4ut/uC/VlKJWe2iGdczbJvhzmWO7+jf0uhH/OiViOlpF1x/rmsWRo7MQ5xy3PzmH4+nQU/G6ASKdludKHU8pZMBAM3HFgroHzmfNtKJnQrJo/5MYxdNLczojNOugHWX3a8uscUtm9SuAJ5lg+ptAhkkOoTN4azKrmz7xMSkr+II3Nho6cneTLvS146NzrYsX2uKjXfUn5WzYJGlzjRG4XJqWndq4KAMxVMOpN7+r7Z5x85jfqcshJHc63GVgdjjtMoQ6zHTslG27HXA2ICY7OTaWTzCS/QS4dzkPK2TCQnNQlQdiAPAE2oI4SejIMMkxE/uVqiZU+d58muNj4+d/dbJfMwH3OHEwavuViD8e17rdL0l0rvo3RDKtqbgSnzFmWXI6mfz7fTCUNid9zbqnHIGfZ+byuX937hbq5zDCOY/mydDsBzru+vp7NMX1NluPwwf23g8x5zJAsWR3y6UIiX+f67Zw7mbmcBQOh2FPZsCnJOnydjT8ZS8bdGWMnvcdwsl7aSu9DG0mJDW54Le+D4H8XElBsXGYgCQzJTrgml6e9nbx7RoXlNU3TbPOYf8ukdefNfL49puc459JKbKV3H5wctgHx2fkq96dbuiVZ7ARpLnVbjrnNfwnU6AcrMU7Cum+eSyc8qcOAbxmnw7FeJ8Nw7gSmnys0ZvcJRofKWQGIJ83C4rsHzXmJ5J0Cey0+k04cyxWg9MaU3KWZNJTjCS4dO7JR28got7e7PRVpyCw1d2zC8TkMgntl+Ez7/Fk2yCCXDHOuAFhua2cMGa/byAA6A7SVl2uQNf0wKNuAXT9MgO8Gc+cyqmp2K34urSaTShlbT1Im1OM/6wEAbh20IzND6HJ7GS65bbOpLnwzo/F5CdYO/46VswGQNK6q/klZiYocTwrJRFbtlL0DkY52m8qandi4zEhyAhymUDKmtgFmktGblPL5o+4jW9LNYDrWk8DK+SmPNGTa7ViDZd+FNhwzk+Q4/UoG04Fsskn/xsqJi9lJB0Qp5yVwMOPz7wYoA0YyVTNbZOEwphuP56dzQp5LA50dLXJJtpOMlXOSQdH+qeUsAMQg0O138H/Or5rnJpKxJPjYSE3tnKPgjxdiZwLTDxCyMhgsct+CaXUaFMXXo2hV82VP5xC4pgvpYFxWOEBuvV7PXsNguVOs6LnKwm+WuWXoebEMfB7FeRobX4YjlguM08DZ5YlsQGl4nQ64r15ZYa4c9pmtmFF4LBynDhuw59GhFMCagLm0GmL5JHP3U+LQhwSkQ4w8QfNQOQsA8aCN0PbQ6VUoXm9Pgdpgs72q+UamzBNwXnpTWEHSPOrkbXUYoEMejjk8Mlh48tzHLDbQZBZJbTnP9NzU2se6EKur03F1yojfLT8UuHMKyURsTB0Q+kYyj8NzYe/scCZDhtzGb/bovEGCtMdshmF2ZXbi7zlXZgopj2TJZtVLDK7TCcsyWUqyQ7d1ShhzFqsw6QWZmKo5Jc1ihTTwpEf1f1P8VDhPHP1wWJTonB4ShXMdSx4EY3U8n7kUt2+Wkgkvsw/LJseyJMdU1swXWMntcW0wea2N1h5x6bqUTYKKvaVZmJPfyQjNUpIxVs0fw5BgmH3L2wfSKXmu0qlQrAvOCXn87kt+Tj00cLseO6Vs1wCZfbNupy0slXHshE+jjDH+t6o++pSb/f6q+s/vgja/U+1e2vzstPlD0zT9QPfDWYQwVfXRNE3vf5oNjjH+6ruhze9Uu5c2P1ttLpWzCGEu5VIu5c0sFwC5lEu5lEeXcwGQ37u0+Zlr99LmZ6vNtpxFEvVSLuVS3sxyLgzkUi7lUt7AcgGQS7mUS3l0uQDIpVzKpTy6XADkUi7lUh5dLgByKZdyKY8u/w9MfeO5ZK2vxwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 299.279x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df_rec_output = create_matrix(svd, df_matrix)\n",
"plt.matshow(df_rec_output.values, cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## d=766"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<surprise.prediction_algorithms.matrix_factorization.SVD at 0x14afcff90>"
]
},
"execution_count": 127,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svd = SVD(n_factors=min(df_matrix.shape))\n",
"svd.fit(dataset)"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x14afcc5d0>"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 299.279x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df_rec_output = create_matrix(svd, df_matrix)\n",
"plt.matshow(df_rec_output.values, cmap='gray')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment