4ma-da/tp/clustering/ensemble/ensemble.ipynb

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Text

{
"cells": [
{
"cell_type": "markdown",
"id": "109aea99",
"metadata": {},
"source": [
"# Hands-on clustering #2:\n",
"## Ensemble clustering"
]
},
{
"cell_type": "markdown",
"id": "82577d25",
"metadata": {},
"source": [
"### Imports and formatting"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "0545f90c",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.stats import ttest_ind\n",
"from scipy.special import binom\n",
"\n",
"from sklearn.cluster import KMeans, AgglomerativeClustering, MiniBatchKMeans\n",
"from sklearn import datasets\n",
"from sklearn.metrics import normalized_mutual_info_score\n",
"\n",
"import h5py\n",
"\n",
"plt.style.use(\"seaborn\")\n",
"plt.rcParams.update(\n",
" {\n",
" \"font.size\": 18,\n",
" \"xtick.labelsize\": 18,\n",
" \"ytick.labelsize\": 18,\n",
" \"legend.fontsize\": 20,\n",
" \"axes.labelsize\": 20,\n",
" \"axes.titlesize\": 20,\n",
" \"figure.figsize\": (8, 8),\n",
" }\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "8d141cd4",
"metadata": {},
"source": [
"## 2. Understanding ensemble methods"
]
},
{
"cell_type": "markdown",
"id": "e408f004",
"metadata": {},
"source": [
"#### Binomial distribution functions"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "d211c30c",
"metadata": {},
"outputs": [],
"source": [
"def P_k_np(k, n, p):\n",
" return binom(n, k) * p**k * (1 - p) ** (n - k)\n",
"\n",
"\n",
"def P_supk_np(k, n, p):\n",
" P = 0\n",
" for i in range(k, n + 1):\n",
" P += P_k_np(i, n, p)\n",
" return P\n"
]
},
{
"cell_type": "markdown",
"id": "d13b174a",
"metadata": {},
"source": [
"### 2.1 Probability of correct classification when ensembling 1001 models with an accuracy of 51%"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "757f4d8e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Probability of correct prediction: 0.7366309083614334\n"
]
}
],
"source": [
"p = 0.51\n",
"n = 1001\n",
"\n",
"# If k models predict the correct answer, the ensemble is correct when k > n/2\n",
"k_min = int(n / 2) + 1\n",
"\n",
"print(\"Probability of correct prediction: \", P_supk_np(k_min, n, p))\n"
]
},
{
"cell_type": "markdown",
"id": "98fc8ec6",
"metadata": {},
"source": [
"### 2.2 With 1001 models, what accuracy is needed on the weak models to outperform the expert model?"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "1aec0784",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 1001\n",
"k_min = int(n / 2) + 1\n",
"\n",
"P_ensemble = []\n",
"x_plot = np.arange(0.50, 0.60, 0.01)\n",
"for p in x_plot:\n",
" P_ensemble.append(P_supk_np(k_min, n, p))\n",
"\n",
"P_expert = [0.9 for _ in x_plot]\n",
"plt.plot(x_plot, P_ensemble)\n",
"plt.plot(x_plot, P_expert)\n",
"plt.legend([\"Ensemble\", \"Expert\"])\n",
"plt.xlabel(\"Accuracy of weak models\")\n",
"plt.ylabel(\"Probability of success\")\n",
"plt.title(\n",
" \"Success rate of ensemble learning with 1001 weak models for different accuracies\"\n",
")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "2671b819",
"metadata": {},
"source": [
"#### Comment\n",
"With 1001 weak models, each with an accuracy of 0.52, ensemble performance is 0.9 (equal to expert here).\n",
"\n",
"Hence, with an accuracy > 0.52, the ensemble outperforms the expert."
]
},
{
"cell_type": "markdown",
"id": "f071e0d1",
"metadata": {},
"source": [
"### 3.3 To work as expected, three conditions must be verified by the set o weak learners"
]
},
{
"cell_type": "markdown",
"id": "131310e7",
"metadata": {},
"source": [
"#### 1. The number of weak learners must be \"large\"\n",
"\n",
"The following example presents the ensemble accuracy for different number of weak learners when the individual accuracy is 0.53"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "3aebc1bd",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p = 0.53\n",
"\n",
"P_ensemble = []\n",
"x_plot = np.arange(51, 1011, 10)\n",
"for n in x_plot:\n",
" k_min = int(n / 2) + 1\n",
" P_ensemble.append(P_supk_np(k_min, n, p))\n",
"\n",
"P_expert = [0.9 for _ in x_plot]\n",
"plt.plot(x_plot, P_ensemble)\n",
"plt.plot(x_plot, P_expert)\n",
"plt.legend([\"Ensemble\", \"Expert\"])\n",
"plt.xlabel(\"Number of weak models\")\n",
"plt.ylabel(\"Probability of success\")\n",
"plt.title(\n",
" \"Success rate of ensemble learning with 0.53 accuracies for different number of learners\"\n",
")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "d9ad01f6",
"metadata": {},
"source": [
"#### 2. The individual learners must be \"good\"\n",
"\n",
"Individual models in ensembles must be at least better than random classification.\n",
"\n",
"The following example illustrates the behavior of ensemble when individual models have an accuracy of 0.47"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "fc9b0f2f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p = 0.47\n",
"\n",
"P_ensemble = []\n",
"x_plot = np.arange(51, 1011, 10)\n",
"for n in x_plot:\n",
" P_ensemble.append(P_supk_np(int(n / 2) + 1, n, p))\n",
"\n",
"P_expert = [0.9 for _ in x_plot]\n",
"plt.plot(x_plot, P_ensemble)\n",
"plt.plot(x_plot, P_expert)\n",
"plt.legend([\"Ensemble\", \"Expert\"])\n",
"plt.xlabel(\"Number of weak models\")\n",
"plt.ylabel(\"Probability of success\")\n",
"plt.title(\n",
" \"Success rate of ensemble learning with 0.53 accuracies for different number of learners\"\n",
")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "0e34cd80",
"metadata": {},
"source": [
"Obviously, there is a strong relation between how good the individual learners are and the number of weak models that is needed for good performance. For example, if weak models have an accuracy of 0.7, 13 models are sufficient to generate strong ensemble predictions (> 0.9)."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "ac994535",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Probability of correct prediction: 0.9376247882008\n"
]
}
],
"source": [
"p = 0.7\n",
"n = 13\n",
"k_min = int(n / 2) + 1\n",
"\n",
"print(\"Probability of correct prediction: \", P_supk_np(k_min, n, p))\n"
]
},
{
"cell_type": "markdown",
"id": "f462f1e4",
"metadata": {},
"source": [
"#### 3. Weak learners must be diverse: \n",
"\n",
"If all weak model predict the same thing, i.e., make the same mistakes, then the ensemble is not better than the individual weak models. \n",
"\n",
"_Note: All the computations above assume that all weak models are independent, which is rarely true in practice_"
]
},
{
"cell_type": "markdown",
"id": "a84b2325",
"metadata": {},
"source": [
"## 3. Ensemble methods for clustering"
]
},
{
"cell_type": "markdown",
"id": "6d4cc40c",
"metadata": {},
"source": [
"### 3.1 Generating clustering partitions"
]
},
{
"cell_type": "markdown",
"id": "b69e6eff",
"metadata": {},
"source": [
"#### List of possible ways to generate clustering partitions\n",
"\n",
"1. Use different clustering algorithms\n",
" 1. Different approaches\n",
" 2. Different parameters\n",
"2. Use different features\n",
" 1. Subsets of the features\n",
" 2. Different modeling of the problem\n",
" 3. Different data transformation\n",
"3. Use different initializations\n",
"4. Use different subsets of data\n"
]
},
{
"cell_type": "markdown",
"id": "afe8bfa0",
"metadata": {},
"source": [
"#### Generate data"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "fe7e42d9",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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oo5JT7YnDh0HD4Vjr4LyLe6ZPY0txBi/Ux0bqNhdnsCYvkLL32l2eze7y7Gk9VpIksud4FX26Y4h/e6SWnpFa97Dp8ExdL+1DOv999058s+ggFzIsPvLQyQmdAM93D3O2M8g33rqDgGfx5yEJ5oaUTlGbm5s5fvw4x48fp7MzWoN67ty5sWOGYfDQQw+xefNmnn322bHnfeQjH2FoaIg///M/5/nnn+eJJ57gAx/4AFlZWbz//e9P5RAFggXljVuLme5ueseQHrcU7HDzQMLnHGrqB6LObsnqy1UZ1uXPfrV4Kbz3igpKMid2g8tP03j3vvJ568lu2Q7PnOvhmXM9WAlK6lLNT4+2jQn7eGq7hvn5sdmV+97/fH1Mi1+AM51BHjjcMqvXFCwPUrpy//KXv8zPf/7zCcc+/OEPj/3/448/juM42LaN41z8QW3atIn777+fz372s3zwgx9EURT279/P5z73ubE9eYFgOVCZFyDdqzCk21M+Nj89fmJdsmS70azsp8/1EDYTi9beyhzWLpC4by/N4pt37eQnr7TQMaSTF9C4c2cJFbmpW7Un4+HTHdz/UhPne6JbJGvyArxzXzmv21SU8vcKmza/ON5OULe40B2bazFKyzQMgeJRG0fYR7nQs/iTjAVzR0rF/ZOf/CSf/OQnkz6mrKyMO+64I+b4rl27+P73v5/K4QgEl8ywYfHg4VZaBiJk+zXesrNkRj3IJ6PKErvKsnj6fPJyLQm4vjp+Iuk1a/P4zamOmP1pVYZr1+YBJHWP8yjwzylKppsthRlePvyquUtaS0Rd9zCffeI8feGLuQh1PSE+98R51uenJbWznSlPn+/mc0/UjX0XSpKgRNEsr6n2gcS1+GkiJL+iWXATG4FgsVLfM8x7f3yErz5bzy+Ot/Pdl5t494+P8Fyc/e6Z8O59lZRmTdzrVmXwa9GfY0mml3fsLedd++L3O3/1ujzu2L4Kzzi10BSJN+8o4eo1UWOXXWWZY683mX2VuXETy1YCPz/eNkHYR+kLWzx0vD1l7xM27QnCDtE8iniszg1w586SGb/Hz462cTCBi166R+ENW1MfiRAsHRY8oU4gWKx87bkGzk1qBNIxpHPf8/XsX52DPMv94S2rMvj6W7bzo0PNtA3qZPs13ri1mPIcP51DOhU5/qTJVZIk8X9eU80N6/N56lwPSHDdunwuG5c8tqU4k/1VufyhtnvCczN9KrdvL57VuJcDA3GEfZT+KexqZ8Ivj7cnjJ4EPDIRw0FTJHaUZvEX16yO6+KXDNd1+eWJNuLtvMgSvGd/BVuKF7YNrmBhEeIuEMTBtB2OJ6jHPtMR5ETbINtLptdqNB7FmT7uvW5dzPGZZGzvrshhd0XimvL/9/qN5D9dx8sNfQwbNlW5Ae7csYpr1q7cPJayrMTVAWXZqbOGDSbp716VE+BfXr8RnyrPqPPceEKmTVN//MmD48L6FG4vCJYmQtwFgjg4LtgJiq4dwEwUY11EeFWZv7l+Ha7r4rikzHZ2KXPXZaX8obZ7LJlulLV5gZQ2ddlflct3X2oiHKcrzdr8NKouMXnQqypk+zUG4/gYpHkUSpJMYgQrA7HnLhDEwavKbCmOb+1YXRBgZ+nsV+3zjSRJQthHyPRrfPLWTdy4IZ9VmV5WZXh5zfp8PnnrJjJTWOe+uTiD12yITYgsz/Zxz55Y74KZosoS+xM07rm8PCulUQjB0kSs3AWCBLznigrqekITypSy/Sp/vKdciOUSpiovjX9/w+axfu1zVVv/9zevpzLXz0sNfYQMh7X5Ae7ZXXZJbnTj+ctXrcEAHj/VwaBu41NlLi/P4v/eGNs+W7DykNzRK3yJs5jM/BOx2JoOLDVMO+oBfqYjiF9TeP2WwqRJQ1N93q7r8krzAOe6hrm8PIt1cfYp2wd1fvJKNPEtx6/ypu2rKMv2c757mFUZXnTbJc2rkLtCs88nI67x+aWgIIPDtZ0cbh6guiCNjUVLo2PZUmWxXd+LunGMQDAdgrrJRx46ySvNF5PcfnOqg/ftr4xr0ToVHYMR/vnhsxxtGcB0ou0/r1ydwz+/buMEb/HiTC9/9eq1QNT17QtP1vF4bTcdQzoy0f33NFXi8socPnr9unm3cxXMjrBp8/2Xo53mFFlmT3kWf7SrdFYRmaBu0TGksyrTN292ryHD5venO8jO9rO/JHPMclggGEWIu2BJ8K0XGicIO8CwYfP9A028bnPhjFfO//7oOQ42XbRxDZk2j9V0kxOo429viM1iB/jm8w386JWLlp6jqVLDlsvT53vpD5/mm3ftnHWJnGB+iJg2H/7pcY60XLyenj7fw/G2IT5xy8Zph+lN2+HTj5/j2boeuoZNitK9vKo6j79+9dqUteyNxwOvtPDDkTJKgLJsH+/ZV8EbhMALxiES6gRLgkRlaT0hk1+f6Jj267iuywt1PRxqjm1cAvBifV/cLHnXdXnyXHecZ4wbY+sQj9d0TXssgoXhBwebJwj7KI/XdPHM+Z5pv85/Pn6Onx9vp2s4Wh/fEdR58HArX3qqLmVjnczRlgG+9lz9mLADNPdH+MLTdcJuVjABIe6CJUGyVqDJ2oiO58nabt79oyP85c9PolvxnzMUMdHjlC8ZtktvnKYfE8cBDb2J7UAFi4PTHfH3TG0XXmrsn9ZrBHWLZ+viTwSeruvBiHMNpYJfn+xg2IjtS9Aftnjo+OyazwiWJ0LcBUuCRGVp2X51Wg0/arqCfPKxWk60DyWdClTkBuLatnoUaUr/bxlYncKWpYK5QVUS3/a0aYbT2wYidA/Hn+x1BfWUut2NJ6gnNscJxql5F6xchLgLUo7juvyhpovvH2jiZHv8cPpMee/+CrZOEnivKnHXrtJpNXL5WYJ2m+PxazK3bSuOu+cqSRKv21SImuQXs700k+uqV67721Jhf2VO3La7AU3hdZsLp/UaJdk+ijLi53kUZ/jICcxNb/jKJOY3a/LFxFJwEZFQJ0gp57uG+cQjNZwcWSH7VJkrV+fyr6/fiCeZMk5Btt/DV9+ynZ+80kJtZxC/R+GmDQXsq8qd1vO7g4l7m6d5FLasyuCNW4q4OUkU4O7Ly3Bcl9+e6qS+N4Q74mKX4VW4rCKbj163ViTTLQFu21bMsdZBfn+mE2PEaTDdo3DPnjI2FE6vlCzNo/KqdXk8eDg2FH5ddf5Y691U87bLSnnqXHdMz4Mtxem8ecfMm88Ili+izn0eWWw1kqnGdV3+9MGjHGmOXa3ftauEj1wfPwt9rhj/ef/n47X8z5H4e5J/dlUl776iMu45Z+TnMV60HddlMGLh12T6QiYBj0Kmb25WakuNpXSNH2jo47kLvShyNCoTz+cgGZbj8qWn6ni6roeuoE5xho9XV+fzwaur5nSS19If5lsvNnCybQhVVdhSlM4HrqoiL014Lcw1i+36FnXugnnhaMsgJ1rjh+Ffnmai0lxx544SnjrXQ+ekFfzqXD93bF/Fb0620xsyuaIqh+qCdGq6gnzrhUZOtQ8iSxLbSzL5s6uqKM32I0vSWIOX4kzRM3upsqcyhz2ViRvvTIUqS/z1dWv54DWrGQib5AS0lK3YXdflYGM/57qH2VGaxeZxW1Kl2X7+6bUbgejNva1jkN+e6qCxL0xFjp/Xby6a01I8wdJAiLsgZbQNRkiUJBzULVzXnTOrz2S8WN/Lw6c7xxLiBsMmmiqzrSSL66tz+bP/OTYW5vzWC43sX51DbdcwjX0XM9/bBru40BPiW3fvnHF7TsHyxqvK08r7mC6dQ1GDpSPNUYMlryqxKtNHaZYfnyazvzKHN47khlzoDvLnPzrMqY7g2PN/drSVf339JspzhL/8SkaIuyBl7K/KIT9Ni5tFvDovEFfYO4d0XmrooyLHz45ZNmOxHZfvHWji5YY+IpbDuvw07tldRkFBBj840MR9LzQQHtf4uiLHxz+9dgObizL4kx8enrB/GTJtHq+JX89e0zXMg4dbeMfeilmNUyCYDp987BwHGi8aLOmWS31vmPqRMss/1HRzrG2Qf7h5A5/49ekJwg5wsj3I556s47O3b5nXcQsWF0LcBSkjO+DhdZuK+OHBZsYv4LN8Km/ZNTHZx3Fd/vPxczxe00V/2MKjREPfH79x/YxXHP/y8Fl+d7pz7N8n2oY43DzAV+7x8pPDrROEHaCxL8JPj7TRUhWhtmt4Ru81fjUvEKSatoEIh8Y5J8bDBR4+3cnVa3J5ub437mOOtPTTHzLJnqOsfcHiR4i7IKV86NrVFKR7eOpcD/0Rk7IsH3fsKOHK1ROz2r/9QiM/PXoxwc2wXQ42DfCJR2r4+lu2Tzt8f6xlgD/UxrrCNfSF+ZdfnaJjSI/zLDjZPkR14cwSqACyReKcYA7pDOqEzFiTmskYtstzdb2E4xjaAEQsh5Bpk424XlcqQtwFKUWSJO6+vIy7L0/ezOWZBO5ex1sHeKV5gMvLs6f1fi/U9yV0m+tMIOwQTYa6cnUu336hgWCcG6QqE5M/kJ+mcecuUW4kmDs2FKZTluWjeVyb4URk+lQ2r8rkWEvsSn99QRqrMlOXByBYeggTG8GCMJDAwct0oL53+h7Z6d7EyW1l2X4qE4T4t5dmsiYvwA3rY01nCtM9/PHuclbnXnxudUEaf3tDtej6JphTfJrC6zcXokwRuErzKLx+cxHvuqqKDO/ENVqGR6EqJ8DHfn2aj/3qFD892hq3X4JgeSNW7oIFoTzHT+tg7Mo606uwbwblSbdtW8UDh1snNNIYJSegcfOGCr7wVB0945L8dpRk8MGrqwD4+E3rKc328fyFPoK6zeo8P3ftKmV7aRbvu7KSF+t7UWWZvZU5s2oHKhDMlPfuryTTr/H42W56QgZB3ZrQ1yCgKdyzu4x1BensL8hAtR1+eaKd7qBOXrqHjkGd34zLQXmsppuDjf382xs2CZOlFYQwsZlHFpsBwkLyeE0Xn/h9TUxI/NatRfzjzRtm/FpfeKoursDvKM3ko69ey+O13QzpFtX5ady2rTipv7hg9ohrPPW4rssz53t4qaEfTZF47aZCNhZF694nf94/PdrKJx87F/MaEvCvr9/IzZumZ68riM9iu76FiY1g3nFdl2cv9NLSH+Gq1TmU50z0vb5hfQGuCz871kZjX4gsn8b+1bl84KqqGb/X2rwAl5dn8/DpTqxJ4cejLYM8cKSVf3rtzCYMAsFiQZIkrl2Xz7Xrpu5bEM8dEqIZ9i839gtxX0EIcV+BDIQNHnillfYhnbw0D3+0sySlJhy1XUH+49FaTrYN4QD3Pa9wXXU+H79x/YTQ9ms2FPCaDQWX9F5nO4P83S9PJU1AOtI8sGAGOgLBfJJs50gEq1YWQtxXGGc6hvj735yhYVy99sOnO/n7m9fPaK97PC39Yb57oImazmE0WaJ1MDLB5nVIt/nliQ4K0728fxYr82R8/0DTlJnFpu3gQtxOYALBcmL/6lwePt3JZKNIVYZr1+YB0Za0hu1QkukTE95ljBD3FcY3nm+YIOwA7UM69z3fwN6K7Bn/2DuHInzkFyc53z11hvsLF3pTLu7TMaHZUJQuEokEK4KbNxZwoKGP35zqYKThHR5F4rZtq8gPaPzF/x7jaMsgluOwsSiDe3aXccP6S4ueCRYnQtxXEEHd4niCxi6n2gep7w2xOi9tRq/5g4PN0xJ2gEF9anOOmeKdoo1scaaXP9lTnvL3FQgWI5Ik8fc3r+f69fk8W9eLJEm8am0e20szeecPD1PXc/G3eqJtiE89VktxhpctqzJT8v6n24f4zakOQobNxqJ03rRt1SW1ehbMHiHuKwjHdcdamMaeAztB05dknO+Zfk16ZW7qG1nsLs/m9CRvbYj2kb9tVyl3bC5kTf7MJiwCwVJGkiSuWpPHVWvyxo59/0DTBGEfpS9s8bNjbSkR9x8faua+5y+aQv3qZAePne3is7dvId0rnPLmGzGlWkFk+jS2FMcvndhUlMHa/EDcc8kITLNDWrZP5c6dqXd3e/9VVVy7Jpfxi4PSLB//8YZNfOrN24WwCwREt94S0TWpDfJs6AsZfO9AU0xp6+GWQe57vvGSX18wc8TKfYXxnisqaegLT6gJzwtovGtf+aySa65Zm8fT53uYbIDl12TKs31ETJeKXD937izhqkn+8qnAq8p85k1beKG+jyPNA2T6VW7fvoo0j7i0BYJRSpJY0RamX3qlzG9OdcbtBglwvC3+VqBgbhF3wBXGzrIs7nvrDh54pWWsFO7NO0pYnTfzVTvArVuKONc1zK9OthMc2VMvzvDygasruWVzcSqHnhBJivrET25OIxCsBFzX5efH2nj+Qh+6ZbOuIJ0/2VNGTsAz9pg37yjh1yc7JrQ3BsgNaNyx49J/p04Se9vlYZO29BDivgIpzvTxl69em5LXkiSJe69by5t3rOIPtV34VIVbtxaT7hWXlkAwH/z7o7X84ng7oxr6YkM/Bxv7+cIdW8lNiwq8T1P419dv4svP1HG0ZRDTcdhYGM2W31x86fvtr91UyA8ONtMXp2dEoq1Awdwi7sCClFCZG+Bd+yoXehgCwYriSFM/D5/uZPLi+ExnkPtfbuTe69aNHVtXkMbn79hGX8jAsF0K0z0pq3MvzPBy12UlfOelJiLj2iluKU7nPfsrUvIegpkhxF2w6LAdl58eaeWlxn4sx2HzSD1umogGCAQTePx0+wQxHc/ZzvgeEOPD9ank3VdUsnVVJo+c6WTYsKkuTOOuXWUEPNNLuhWkFnG3FCwqXNfln393hofPdI0de/5CHwea+vniHdvEjUIgGEeyBkieFPnNdgd1fnGiHdNyedW6PDYlCbPvrcxh7yydLgWpRZTCCRYVz13o5bGarpjjR1sG+cHBpgUYkUCweLlrdwW5gfg15Lsrsqb1Gpbt8JuT7Xzv5SbOdk7sePbTI63c8/1X+PpzDXz7pUbe/8BR/uPRGuI1E7Udl9aBCEMRa+Z/iCDliJW7YFHxckMfCaKMnG5fPK0WBYLFQFGWj/ftr+Qbz9fTH46KqirDq9fl8/bdUzszHmke4D8fP0dtdzSE/60XZa5bl88/vHYDnUMRvj7udQHClsPPj7WzoTCDO3asGjv+wOEWfnG8jQs9ITK8GrsrsvjbG9aR7Z+bLQDB1AhxFywqNDlxMEmLY2PpuC4hw8avKRM6zgkEK4U7d5Zw5eocfnG8A8O22VORzf6q3CmT5SzH5dN/uCjsAGHT4benOynJ8uG4TBD2UVzghfreMXH/zckOvvR0HboVXc33hU0ePdvNkG7zpTdvS90fKpgRQtwFi4rXbS7kZ8faYpyugAld61zX5QcHmnn4TCftQzq5fo1r1ubx59esFiIvWHGUZPn5s6urZvScx892UZOg8dJLDX1sL0lcIhcxL/4+f3e6Y0zYx/NKUz8Hm/rYXS724BcCsecuWFSsK0jnHXvLSRuXOOdRJG7ZXMjt2y+GAX9wsJmvPHuBmq5hBiMW9X1hvn+wmf964txCDFsgWHL0DCe2nR3WLS6vyEZJME+uLkgf+//OBNa2hu1ypmPqro2CuUGs3AUJMSyHh4630dgXJieg8dZdpfNiTvPOfRVcuy6f355sx3JcrlqTy56Ki7N/x3V5+HTnWEvL8TxR2837r6wkS+z1CQRJuXpNLt96sYGhON0aV+encfXqXF5dnc/jNd0Tzm0oTOOePWVj/y7I8HKhNzz5JdBk2FAgejssFELcBXFpG4zwf355akLHtV+f6ODvb17P5eXZc/7+a/IC/MW1a+KeG9Zt2gYjcc91D5vUdg2zu0KI+2Jj0LJpMy0koMyjElBEWeNCUpEb4Ib1BTx0vH3C8cJ0D3dfVookSXzilk1sKGziYGM/pu2wsTCdP9lXQe64WvnXbizkSPMAxqTZ9q6ybHZXZM/HnyKIgxB3QVy+9NSFmFaqzQMRvvLMBb59986UOVvNBr9HITfgYUiPXS1keBUqcmbnky+YG1zX5WRYp8kwGV0j1usG63xe1vjEJGwh+diN1ZRl+XjuQi9B3aYqz89du0rZXhoto1NliXftq+Bd+xK7zN26tZjOoQgPvNJKX8TCo0rsLs/mn27esKD3iZWOEHdBDKbtcLR1IO65U+1DnGofSkn/59miyhLXrM2j4WBzzLl9lTkUZlx6lytB6mgxLOqNiZ7jBlAT0SnQFDLECn7BkCWJd+yr4B1JxHsqTrYN8dvTXfSN1Lcblsv57hC13cPsSxOTt4VCiLsgBseNlsnEw3YhNJIpO2xYPHSsjcGIxeXl2eypyJ63mfqfX7OasGnz5LlueoZNMrwKV1Tl8n9vrJ6X9xdMn04rvqmJBTTpJpsDQtyXMvc9X09j38QoWseQzjefb2DvPNwTaruC/PJEOyHDpjo/nTt2rMITp2x2pSHEXRCDV5XZWJjO8/V9MefW5gXYVZrF0+e7+ewTdbQMRPe+f3CwmavX5PKJWzahpcj2MhmqLPF3r6nmA1dWUts9TGVOQKzYFylWkp6fdkzLE8FSYjBiJuzXfrJ9kIa+MFW5c7dN9rOjbXzlmToGx5ICO3i0ppPPvmkrWf74zn0rBTG9EcTlHXvLKcqYGFLL8KrcdXkptgtfeOrCmLBDtOzlD7U9fOuFxnkdZ3bAw54KEYpfzGQlCbvnqWJ9sZRJ1qvdcYlrU5sqgrrFd15qHCfsUY61DvGN5xvm7H2XCuKXJYjLZeXZfPGObTx4uJW2wQi5AQ+3bC1id3k2Pz/WFhOGG+VAYx9/RtX8DlawqFnj1ei0LAbsib7CharCKk3cgpYyWX6NzcUZvNTQH3NuS3HGnK7af3s6amAVj6fPd9MV1DFtlw2F6fzxnlLSvStrJS9+WYKErMlP4+/i7GEH9cSNISJmAmP4BAxFLMKmTUEKe0sLFheaLLMvzc+5iEG/bSNJEnmKwjrf0vzOLdelXjcYth00SaLSq5G2gpMC37u/kqb+MK0DF4W2IN3Du/aVp+z7HQyb/PJEO7rtcH11AavzAjh24ntNx5BBx1APEG1GdaCxjy/csZUM38oReCHuAgzL4bsHmjjSPIDtumwtzuCd+8oTznSvq87n/jjhMIDqaZpWdA5G+MyT5znSPEjIsFlXkMZbd5Xwus1Fl/S3LBVMx0WWQJnGzc9xXRoNkx7TRpIgX1Uo92jzJoz9lk2zYWK6LhmKTJXXgzrFe7uui0N030+SJDyyzOaAb17GO5eEbJuDw2EGxyWcNhsmWwI+Sj0rRzjGs7M0i/veupMHXmmmY0gnN83LH+1YRUWKVu2/PNHON56rpzMYddT7wYFm3rC1mHfvK+N7B5roGjaneAU43jbE9w8288GrV6dkTEsBIe4rHNtx+dtfnuS5CxeT5w41DXCkdZA/v3o1zf1hLi/PoiTLP3a+LNvP6zcX8eDhVsbPncuzffzxnmgnql+faOcPtd0MRizKc/y8dVcJG4uifaAd1+XjvznN0daLXd5Otg/x6T+cJ9uvsX917tz+0QtIu2FSpxsM2Q6yJJGnymz2+fAlSEJ0XJdDw2E6rIsTqVbTotu02ZXmmzOBd12XVtOiKWLQ6zgXv2cT2kyL3QE//gRjbtQNGg2TkO3gkWUKVYWNfi/yElylT+ZsxJgg7BAt66uNGKzS1GXxN86GogwvH37V2pS/bvugzleeuUBv6KKABw2bBw+3sL4gjbsvL+ObLzQQnkbE8NQK6yopxH2F8/DpzgnCPsrRlkE+8OBRHBcyfSqvWpvHx2+sRh25od973VoqcwM8W9dD0LBZkxvgbZeXUpWXxteered7BxrHWrcebR3kYGMfn7hlEztKs3jsbBfHWmN/aEO6xS+Oty9bce82LY6GIozdplyXVtMm4kTYn+6PK9RNhjlB2EdptSyKTGtOVou67XAoFKHXjn1fgAHboVbX2R7wx5yrGRjmRFgfmwwYjkPQcDBdlx1psY9favQl+EyCjkO7aVGyQlfvc8VDx9smCPsojgvPnO/hP2/bwqaiDB4+08GwbtMdNDjSGj973zMPVTyLCSHuK5yjLfHNaiD6AwIYjFj86mQHWX6Nv3xV1BJWkiTu3FnCnTtLJjynP2TwyxNtMT3Z24cMfniomR2lWVzoDSUsgOoMxk+QWQ40GibxAoi9tk1rAqHuiSPso3RbcyPupyJ6QmEfpc9ycFyX9hE72aKRVWvtYJh4a6gO0yJs2/iX+N50stxvUdQHx1oG+NXJDoZ0i/JsP2+7vJScwOyNbMJm4utwdLW+u+KizW1TX4h3/vBw3C3DPSvMCndlTWUEMXi16V8Cz1/onbK05YlzPXQn2AOr6Yx2iCrPTryCy09fvo5WYSdx6HAoQXJQsiDvXASAXdelN8mEYhTTdXhqKMQroQiHQhGeHgrRHDEYMuMnWxpAb5IEqKBt02qYhKeYVCw0OQkmJ2myRPEKz/z/6ZFW/vJnJ3joeDuP13Rz/8tNfODBY9T3zL4z3K7SLBJ1cF6bH7unX54T4J37KsjwXvyeVBlu2lDAW3aVznocSxEh7iuc120qJKBNbzU1EDaxEzjXjZKdxDjCNzKRuHljIVuKM2LOBzSFW5ZxQp1XSvxz8ye4gxUkqAOXgKI5qBF3mJ6xjO7C8LjJStBxOBXR8ST4OySgz7IwJk1wDMfhQDDEsyMThaeHQhwdDuPMYX30pbDO5yFdnvg9qsBar2dayZHLlYhp84ODzQSNiZOzup4Q335x9t4Xr1qXx9VrYrfp1uUHxvJ7JvPHe8r59t27eMeeMu6+rJT/um0rn7hlI0qiWcIyZWVPNQVsLs7kXfvK+d6BpritH8dTlu0f23NPxLVr89hQmM7ZzmDMud0j3eQUWeJfX7+R/3riPIdbBggbNtUFady5s4RXrcuf9d+y2Cn1qHRZFpM/5UxZojxBeL3Uo9JtqTSPWxFLQIVHo3AOVoqKJJGpKHQnWb1rEHd7wQAyEgicC9QbFm2mRb4a9ZNfpamcjugTcgpMoMm0UMI6W0ey61sNk0bDHCs9K9RUNixQGV2morA/zc+F0fHIUO7xkKMu7e2GS+Xxmi6aB+J3ajx5CYlskiTxyVs38+0XG3mleQDTcthYlM479paTl8S3fnWSrpIrBSHuAt65r4KbNhTw61MdOA40DYR45MzEHs5+TeaN24qnfC1FlvirV63hk4/V0jBidKNI0YYuf3HNxTKU8hw/n79jK91BnaBuUZ4TWPYz61UejYjj0mCYBB0HmWiYd0sgcSa5JEnsCPgoNi26RjzaizSVAlWdM3Fb49UYtG2MSYvnTFlmlUdlwLJpTyD+WR6VdCTaTDPm+RBd8beYNpg2NREjYYygy7LG9vSPhSKMTm3CrsugbqA7zoIl6HkVmY1+4Yg4HlVOPOmfbQWB47o8UdPN+Z5hKnL8vG9/5bK/R6QSIe4CAEqy/fzplVVA9EdVmdPAM+d76Q0blGX7uXVLEW/YMrW4QzTB5Qd/fBm/ON5OX8hkS0kGV6/OjStG+ele8tNXzo1ytc9DpVej37bRkMiYxopPkiSKPRrFs0ye6zVt6nSDQcdGQSJPVdjk9yYMIxdqGrsDMg2GQdhx8EgypR6VVSPvfzasJxF3jVJVY73t4YXhEMEk2zjJipd0x8V2o0mI8Xbx202LatueVk9423VpHWk3u0pV8a6wrOmZ4rguj9d08UrTAB5F5vVbCtlQGLuNNp7rqvOpyvFTH8e5clvJzDtIdg8bfPxXpznaMjB2nTx4uIV/ed1GKufQ9W45Iblzaf47j3R1Lf4axoKCjCUxzvG4rrskXcRgaX7eqWbAsjkwHCYy6WdeoCrsTYtffjcVhuPwfDBMcNL+eYYscdvqIvpHEqieGRxmIEkSYTIyZZlrMgL8YXCYcIJb1Da/l0pv8gTMNsPkbMQYG6tXgkqPh/XLZOWd6mvcsh3+7lenefp8z1hUJc2j8M695bxzirawD5/u4HNP1NEbvrhps6konc/ctpnCjJkZGH3816d49Gx3zPH9VTl88c3bZvRaqWSx3VMKChJPusTKXZCUpSrsgigXDCNG2AG6LJsO05pVNMAjy+xO81ETMeizbSQgW1FY7/OgjQvPZqoyA8bMxV0CykYc+DRJiivuEpA+xQpctx1OhvUJf7/uQq1ukK7IoiY9Dj842MxT53smHBs2bL5/oIkb1udTnpN41fzaTUVsXZXJT4+0MqhbrM4LcOeOEnzjEnYtxyVkWKR7Exv+hAybQ439cc8dbh6gfTBCcebSdzuca4S4rxBc1+XJcz08c74Hy3HZUZrJbdtWoYo9rGXNcJLyswHbYXobLbGkKwqXpfnHSiPjTQLXej30WU7MCn8yWbKMAxiug1+WKdU0VvuiK/JCTWVQN2Kek6so5E4Rkq83zLgTGxdoMxIbzoRsmw7LIiDJFGpzl9uwGDncHN/3YlC3+c2pTj5wVVXS55dl+/nLV8c61VmOy+efPMcfaroZNizKsgO8dlMh9+wui/l8I5bNQCR+SWXEchgIm0Lcp4EQ90XAsZYBHjjcQn1fmEyvyjVr8rj78tKU3lQ+/Yfz/OxoK/bIve53pzt55nwPn75ty7z0XxfMPRHbZtB2yVQkfCPCl+yblVNgu5LsGk1XFPak+ajTTYZsm6DtMFmm02SJy9N8+OXoaCav5jb4PBiOS5sZNQCSiAr7toB3yt9Hsj7yZpy/3XVdToR1WseZDWUrMlv9PrJXSDa8lSRHwrJnf72898eHOdl+sYKmpmuY2q4LyBK8fffEkrZwksZUPlVmbf70+lesdIS4LzCvNPXz9789Q1fw4m3vUNMArYMRPnr9upS8x6Gmfh463sbk3+ZzF/p44JUW7klQLypYGtiuy7FQhE7TwiRaqlaoqaz3eggmWbm3GCZlHm1OXePSFIVtAWVsnC8HQ/Tazpi06o5Li2FR7ffGNeWRJIntaT7W2Rrdlk2aIpOrKNOa+Eb7yMc3VJpcqw5wXjdoMCY+vt92OBaOcE16YEWs4DcXZ/BynJC4X5W5bn3erF7zfw63TBD2UVzgd6c6edvlE1fvr7QMxtyrRlFlSWTMTxOxZFtgfvxKywRhh+hF//sznbQPpsaK9alz3ZgJfi1HWuL7MAuWDidCEVpGhB2ictZiWhwIhUl2BQVH9p/niyHbYWCcsANYRMfQbSbv7BVQFCq8HvJmUAJY6lHJizNxSZMl1sTpeNiRwF1v0HZoS3BuufGOvWXsKJmYpCVL8IatxWwpnnnWO8BvTnUkPNfQFyY0yWJ2XUEaXjX+d1yWM7sk0JWIWLkvMBd6QnGP94ctvvxMHb0hk84hnfx0D6/dWMibtq+axbuIH8NyxXLdsfr3yQxP4SYI0ZKyQESnXNPwKjKO69JkmPRYNjLRCMCqFO07Nycoa3OITkbytdQluBmOS8ix2Rnwcl436bVsbKJh9rU+T9wSOjPJx5XMOng5ke7V+NKd2/nRoWZOdwTxKjJXr8nltZsKZ/2aiRYWELW/9k3a8thUlMFlZdm8UB/b0OratbOLHqxEhLgvMH5P4pDoY2e7xsJTDX1hjrcOMqRbCW0XE3H9+nx+dqwV3Yr9kV1WljWj1xIsLnTHJZLg3jmdHVLDhTMRgwu6wTqvhy7LpnNcDXuzaVGhadPa456KZHvgkxsNzRbDcXgpGGbQiUYIVKBUU7kmY+qwerosx03+U0lsA7wc8WsK77miMmWvV5kboKYrvr/87rLsuGH2f7h5Pf/+aC2HmvoJmw4FaRo3rC/gPVckL8cTXESE5ReYfRU5cY97FSlm38mwXX51sgMryT5qPHaWZnHH9hIm94i5dm0eb9lVEv9JgjFCjkPQsqdsmrMQ+GSJQII9yJm04NFHRL4zjjlNk2kmjA7MhKwke/uZ6qXfimzX5cmhaG396DdlAQ2mxemwjuE41OsGjbqBHee7rPJqcT+zQk0lc4Uk1M0Fd+woJssXOzkqSvfwiVs2xn1OQbqXz92+lW/ftZO3X1bCu6+o4C+uXTNrt7uVyMqZji5S3n9VJa2DYZ4530tkZPlSleunKY7TE0B9T4iWgciMXZruvW4teyuzeepctBRuV2kmt2wpFskpSeg1Lc7qOn1WVCyyFJlqn4eiFIaPZ4rtupwJ6/RYNjYumYpCjqIQcmLFt8KjYRPtCT8daU7kJu8CnaZN4SX+3RVejTbTimknm6XIrJ7CjGY61IaNuJa3AHWGSYtpoo+cP68brPd6KR23956vqaz1aTQZFqbj4pNlCjSV9b7l26lwPthdnsM/vnY9P3mllZrOIJoisbs8m7+9YV3SXhW/PNHOd19qorE/ei/80aFW3rG3jNu2zWZrcuUhxH2B0RSZf3/DZk60DXKgsZ/8NA/XrMnlru8eoicUm2SU6VfJStJ5LRlXr8nj6jViz2o66LbDkXCE0Lh9637b4VgowhXpMhkzzDB3XJc208JwHVapGr5ZlB+6rsuh4fCE1fWwY+GXJCo1lV7bIeI4+GSZEk1l3UhzlSqvRqtpYToODhLtppkwlD8VrYZJu2lhuy4ZisIar4Ynia/4eBRJYneaj9oR8xvXhRxVodrrQU3BiqzHTj6F0cf9zcOOy6lIhBxVJqAo6LbD4XCEHivaE08hGhVZ5/OkfLVouS6nw/pIHoBLpqyw1ushZ5rdGZci167N59q1+eiWM62M99quIF94qo7BcfXuTf1hvvhUHRuL0qe0wxUIcV80bF2VydZVF7NRd1dk8/szXTGP212enbStqiA11BvmBGEfRXehXjfHyruS4bguNRGDVsMg7F7cA6/FoNzrYdMMLVC7TCtu2DzsutgS7EvzcUE3MV0Xl2hIWiNajlY9bjKihCXOzyBLXgKKNZVToQgXjIsV4h2WTadpsTfNP+3JikeW2RKYaEAStm3OhHUM1yFDVqjwarNqnzrTCYLuwvFwBI8k02tZhMd93TbRv+9EKMLOFDaoGZ2gdY37HkOORb9tszfNv+zD/95pbr/84nj7BGEfZVC3+cXxdv72BiHuUyHEfZHytzesI6hbHGjsx7BdPIrEZSOhLMHcE3ET5zXo08hCBzgSitAap4TKAOp0g3RZonwG4ejeZG5zpsXzlj1hQtJqWuwMxBqwrPVqdJkmg5P+jgJVQXZdOsa9jwRUejR8skSjEWv9Mug4nNONsfasM6XNMDkZjoyLJFg0mya7A378M4xuFKjqBNGcDl2WQ7IWNt2Wje26KevV3m5acccYcV0uGAY71IXpdLfYiCfsowwlMbkRXESI+yIl06fx+Tu2caRlgFPtQ2wsTOeykX7ogrnHLyUWFt808hT6R7zbE+ESvdHPRNw9SQQm4oI5KUks6DicDevsy5iYn+GRZfakBTivG/SPeMPnqtG9ZRloMSx6LAtJgiJVpVBTqY0YCfftB+yZCeooo5GNyVsEA7bDWV1nZ2BmQlfl1eg0DLqnOfmaDqbrYrkuEtBqWERch3xVnbVjXX+SyUcyq+CVRmVu4u++IltMgKaDEPdFzs7SLHaWinK1+abKq9FimjG14j4pem4qui0rYYLaKJPFeCoqvBoNhhG3fj2RBUyfbWM4Lp5JExK/IidcbZd5Ncom/Y3J5jOzXdN2mBZDCerH+2a4Aoeode2+jDReDIboSZFQpskyw5bDiUhkLNKhYFCoqewK+Ga8H+9Nkp+gJZlQrjTuuqyUP9R0x5TQVRekcfflZQs0qqWFuJoEgjh4ZJldAT8FqoJKNMEqT5XZEfCRPo1kOu80btRpCcLOjuvSZVh0m9aE8jtVktji95IxTiA8QLmWeI7uAm4KPOTLNQ1vAh3LnWUNeDL5na00S5LEFekBqr0eMmUZvySRp8ps8noo01TSZZlMWWY62Q4yUO5ROanrE7YwbKDNtDgbmbmDZIVXi1u6KAGrknyPK400j8qnb9vMLZsLqcjxUZHj4/WbC/n0GzeT7hWf03QQn5JAkIBsVWFfegDDcXAA3zSzwiFqfXpBlxlMsDL1S1Lc8q8m3Yg2Whl5XqYss97voXikDK1Q08hX1QmZ97br0GNZhOJoeLaqJF0tThevIlPt9XI2ok+IEhSoCtWzLBUr1lQCshQ3cTH7EvzuJUlig9/LhiQJi4eCIdqSRAdyFZlyj4YmSQwkiAJ0mTabZhghViWJbX4vp8PG2LXhk6Dc44mJlqx0SrL8/PPr4tfBC6Ym5eJ+5swZPvvZz3Lo0CEsy2Lbtm18+MMfZu/evQmf89GPfpRf/epXcc997GMf453vfGeqhykQTJvplnqNR5Yk8pTE4r7Wq5E5ScD6LZtT4YniOeg4nAhFyEyXxyxTZUmi1KPhjDSM6RjnKz8enwTrUigYVT4PeZpCs25i4ZKjqJR64lvTOq5Ls2ExYFuokkSFRyNt0t+rSBJrPB7ORPQJ+/lpskR1Curek7HW56EtGN9LIl2W2T/SKOaCnnh1bs0yIlIwMkFrNy1M16VYU2d1jQkEyUipuDc2NvL2t7+dNWvW8JnPfAaABx54gHe/+9388Ic/ZMeOHXGfFwwGWb16NZ/+9KdjzpWUCAe1mdLQG+JHh5q50BMizatyzdo8bt9WLBouzDMdSVaGHZZNFdHSqNHvpckw4op0xIUG3WTTpPK702Gd5jhJex6gxKNR6dVmXI8/FRmKEjOOyViuy4FgmJ5xiXZNuskmvzcmgbDK5yFdkWk2TUzHJSDLrPHObac6gGxVpUBR6IqTDFigXuw6V6yq1GLEtKqF+J3lposkSaxK0E9eIEgFKRX3r371q9i2zTe+8Q1yc3MBuOqqq7jpppv43Oc+x/333x/3eUNDQ+Tl5bFt27ZUDmdFcr57mL/55akJDnfPX+iloSfEX1+3dgFHtnTpt+yoy5vrkqnIVHk9Y6VRtutiui4eSYpJrkqWMDdg2Tw9OIzuuqTJEmUeDSPJRrMx6bVc16UzgSWsA6z2xq6U54uzYX2CsEO0/K8mYrDKo8XUo+drKvkLsN+8PeDlWCg6VofozbBIUyf4D/gVhRKPRv2kVrBeop+xQLBYSdkvynVdHnvsMa688soxYQfweDzcdNNNfP/732dwcJDMzNi2gUNDQxQXF6dqKMueg439vNzQh9+jcPu2YrIDF1dD3zvQFGNd67jw61MdvPWyEkqyRBnJTKiPGBPCxi1mNJnqcr+PWj3quW640RVnqUdlrdczturzyBJmgrIsg2iTEwDddukP6+QlMfgITEq+s4l2PouHBQzbLmkL5IfSmyBiEXZdmg2TqjkIudsj5WozyV73Kwr7MgL0WRZDtkOeqsSdEG3xe/HLMp2mieFGM+hXezXyRALcosEaaSWszcL5cbmSsquztbWVoaEhqqurY85VV1fjOA41NTXs3r075vzQ0BDr1glzlqmwHJd/+t0ZnqztxhjpKvO/R1r5i2tW87rNRdiOy4tx2iRC1BTiD7U93LNblJFMF8t1Oa/H1nf32w4vDIcJjVtNDzkOZyIG/ZbN7vRoXXmlpnFqmk5wDhCxnbgJZhlybPKdQjTbvj9OspdPguwUNGKZLcl2ouM1bLkUukyT87rJoGWjSBI5qsImn3dGBjg5qkpOkjuhJEms9XlYKzzmFx0t/WG+/OwFjjUPYrsum4ozeNfecraL8uHUiXtPTw8AOTmxXc5Gj40+ZjJDQ0N0dnbywQ9+kGPHjjE4OEh1dTUf+tCHePWrX52qIS55vn+gkUcmWdJ2Bg2+8mw916zN47+eOE9vHD/6USJJTFUEsTQbJuEEYhRKcLzdsqkN61T7vaz2eRh2HJpMa6y0S4WEZjA6sNvv47xu0m9bSETFaoMv1ntdkiTKNY1BW48pG1ulTd/vfS7IUmUG4+wxeIi2X00V/ZbNkVDkome86xI2LUKOw5XpgUvyhHdHDHY6TQsTlzRZptKjUSz2yRcNYcPiPT85Qs/wxXves3W91HUP85U7txMybX56tI2uoE5Bupc7d66iuiB9AUc8v6Tsl2YY0RWKxxM7u9VGyngikUjMOdd1GR4e5tSpU7zvfe/jve99L729vdx///28//3v5z//8z+57bbbpnz/nJwA6hLwZS4omL0n8pG2YNzjHUM6Pz7WxpPn40+eRuk33Ut6/6XIpfy93f1BCM+8lrnNttmXl44iS1xPJsOmRUMwQkBVyPIo/LqpGyvO3MBy4bRpsirdy2ty81Hl2H388RQAGQPDnBsMEzQtfIpMRbqPnbkZC5o8uW9VLsG2XvqMi9MYGdick055fuy23Gw509E3oRnMKP22w6BXpTprZp0Tx/N8Rz+146IuIcdmwHHIzPJTmb64trZW2m96lLu+8cIEYR+ldVDny8/Xc7R5gO7gxe/w2Qs9/Mcd27lhU9Elve9S+bxTJu5ebzQJxTRjP+xR4ff7Y38UkiTx9NNP4/f7SU+/OKu69tprufXWW/nUpz7FrbfeijzFSqSvL3Qpw58XCgoy6OoamvXzh0KJQ7zHGvoIJvFjBqjrGLqk919qXOrnneW6+CSJyAxDyYOWTUPHABnjJpsFAJaFFbHIVZS4DWAcoM+w6DMsuoMR9qT5pxTpXGCvz4s7utfvQHd3/EngfFBQkEFkIMxur5c6SWbIttEkiVWaSrErpfT66wslnni19g+TbczOFjdk29QNxd5PDMflWNcggfDiiYBd6jW+VAnqFkea+xOef/lCL0P6xO+/c8jgi4/WsC1v6t9VIhbb551sopGy2F1BQQEAvb29Mee6u7snPCbec8cLO0QjANdccw09PT20tramaphLmvUFaXGP+zWZ3eWx2yGTyfAu/sjGYkKTJKpmEYbVSG4zut3vizZpSfIaXZZN1wy2URZbmaNXkdnk97I3PcCuNP+chLM9Sf3/Z39r67TshHa+0/F/NxyHuojB+YiOPvL4XsviXESn1TAnuA4KZseptiEiZuLvIqjHn9id7hiiMzj9johLmZSt3IuLi8nJyeHs2bMx586ePYumaaxfvz7uc+2RshllUqaqPmIgMRoVWOn88Z5yDrcMUtdzcVUhATdvLOSePWU8VtvFmY74qzaPInHDhviTK0FiEpnQJCNfU2K83MfjU2T2pQcYsGwOhcJxHdpcoM92KJzxu68cSj0qnWash3+6LFOZpExNdxx0xyVNkeN2e0uXZSTiJwZq4x7vui4R10WVpLHj9RGDc7o+1gznfMTAM5IkOXolZSkyO/y+Zd/edS4pzfET0GRCCQReU6SxpOOJx2XUaTR+Wg6kNOvm5ptv5vnnn6er62LSVygU4pFHHuHaa68lLS125Xns2DG2b9/Od77znQnHw+EwTz/9NFVVVQlX/CuN0mw/n79jK2/ZWcJlZVlctTqHj163lo/fWI0iS/zdDdVsKopNGClI9/CufRXctEFIxUwI2VOvnj1cbJwiEzVA2eafXvvTLFVJaoSSrAucAIo1jY0+L2kjN2sJyFFktvt9cUXbcBwODYd4cnCYp4Mhnh4apjZOTkWeqpCTINu+cCQhsD5i8MxQiD8MDvPEQJBDwyG6DZMzEX1ClzsDCI4Tdoh2vTsejogV/CVQmuVjT0V23HN7KrLZVRY/W377qkzy0lZG1UNKCzU/+MEP8vDDD/OBD3yAD33oQ2iaxje/+U3C4TD33nsvAA899BAf//jHue+++7j66qvZtm0b+/bt4wtf+AK6rrNnzx76+vr4zne+Q2dnJ1/5yldSOcQlz6pMH3+ToKf7llUZ3P/2XTxZ203bQARVkfCoCjdU55PpF1m+M2XIdhKGZyEqJlsDPgKyTJ9tka0o5MywiUqxpsbdf0+TZSqEScqUrPZ5qPBq9Jo2mgxZipJwi+JwKDKhl/qw41KjG9Htl3FlbpIksT3g41goQu9IWF0l+l1t8Hlo1k1OR/SxiIEBtJk2faadsBJiMn22Q49tkz/pegnaNkHbIUdR8CoypusStm38ijIhaiCAj9+0HvvhsxxsGiBiOQQ0hVety+Ufbt5AbdcwHYNnqB/n+bE6188Hr6lauAHPMykV96KiIn70ox/x6U9/mnvvvRfXddm5cyff+973xurYHcfBtm2ckXCnJEl8+ctf5tvf/ja//vWvue+++1BVlR07dvDd7343qSe9IBZZkrh+vYh0pIIsRUYjcTvVdR6NkpG95Nn2967wehh2XJr0ixanEqDg0m5alIrSqylRJIkCT/JbWa9l0R1nEuUCraY5QdwB0hWF/ekBui2boGNTqKpjBjctphm3nW9sLVBywuO2fAzH4WgoQrdlYxPN2/BIEjYuERe8kkSxprLF772kEr/lRG7Aw+fu2EZN5xA1XcNcVppFyUiv983FGdx/zy4ePNxC55BBUYaXP9pVQtoU18lyQnKXSWxoMWUwJmKxZVoudy7183ZdlyOhMC1m7K18nUdlYyB1JVHHgyEaJomPAmyN48e+mFms1/gFXedkOH4iVUCWuD5z+vXPTw0OJ+xDP128ElybnobuurSaFq2GmdA7YTxVHo2tgYvbPov1815MREwb03bJ8F26sC+2zztZtvzKmcYIBNPEcV1OhXW6LAvdcRldO9tAQJYp0dRZtzmNh+m6dMTJwraBRsOkzKMtumz4pUa2Eq1OiCfJ/hkmWHlliaFL03ZKNY3zukGjYU47lA/QYVpsct24OQWCiXQFdT7/5HkOtwwSMW3WFaTxtsvKeHV1/kIPbV4Q4i4QTOJIKELrpEQ6Gdjg87Da60l5WLTXtBLW0g/b0V7yIq/60shRVfLVWH8BiajQzoQyTaXXsuNOFEbxSuCTZLJVhVxFos10GHYcPDIUqxpeCQ6H9Rk3jY24LrrrEhDinhTHdfnYr09ztGVw7Njh5kEu9NSQ5VPZVZ69cIObJ4S4CwTjCNo2nXEy5B2g07JY60t9WaZflhOuKjVZSm1JywpmV8DHibBOt2VhutGStzKPRsUMtz3KvB4MF85EYq1/R1nt9bBu3LVSOumyOTwcnlU3eL8s4RXCPiWPnOmcIOyj9IctfnqsTYi7QLAcsVyXcxGDfttGAnJVhbUjK/JuK3HGcyhO3WwqyFQV8hL2FldFSD5FaLLMrjQ/1kibXp8kzfqzXePz4LguZ+I0BvJJEhVTJEImaOg3JatUVYTkp8EPDzYnPNc+OHNL6aWIEPdFRlNfiJ8da2NIt1mTG+COHavwaSIomyps1+XlYJjecULaZdn0WTZ70vxkKYkNTOay7nxbwMvRkE6vbeMS/WEWaMqE3uKC1KBKUkwjntmw1udhyHFoG9cYyCtFt2+matyTqcq0JZhFKkC6HB1j2HWJOC5+WRqp6186yZULxdnOIc53Dyc8n5e2MipQhLgvIn53qoPPPVlHX/hi8dUjZzv5zJu2kr9CjBfmmgu6MUHYR+m0bFoMizKvRp6i0B3nMcVz2L87oChcke6nx7IZcmzyFFU4mC1yJEmKWuvqJud0I9o9DgmQcF03aVRglapyDiOmpC5Dgqsy0lBHJge262K4Ll4peRMhwUWeOtdDImdaCXjdJTaOWSqI7bxFgm45fPvFxgnCDnCyPcjXnq1fmEEtI3TboS6i02okzk3utaPndgS8FKjKWBKbT4I1Ho11c7xqkiSJfE1ltdcrhH2JELZtanWDAcch5Lh0OQ5HwxFOTdFN8JwRK+wAziQRVyQpmpMhhH3aeBK4CwKUZ/tEtrxgfnm8pouGcW5K43mitotz3cPIwLZVGbzvykoyfCsjtJQKasM6FwwDY4p9TnnESNavKOxLDxC0bYZtlxxVXtD+6IL5w3FdgraDV5aSNv8ZpVY34vYfaDJMKrwaGUr8SVpfHEMdiLrmtQnzokvitm3FPHC4he447WBfv2VlrNpBiPuiwUzSbWpItznVHjVOONE+xOnOIF++czteVQjOVHQYJrW6kbRsCaL7nCWT3KvSFYV0sYBeMZyP6DQaFsOOg0rUY36r34c/yUpwIMHv1gLaTSuhuCebZzqui+u61Okm3ZaF7bpkKgprvRr+BK8nuEhOwMOfXlnF156tH4uEqjJcuzaPd+ytWODRzR9C3BcJN24o5L9fbKR1GpmcR1oG+fmxVu66rGweRra0aR2X7JQICShWFXJn6AsvWD406QZnIsaY6FpAh2VjhSJckZ64/3ey6XWyc9mKQsiJ3SIKyBIlHo0joQgt40oye22HXstmT5pPCPw0uH37KvZX5fKL421ELJvd5dlcuTp3xtURjuvynZcaeeZ8D/1hi9WF6dyyoYDXLIEOm+JutkgIeBTetruMrz1bz7ARP2Q3nrOd8Vu7CqKlbucjBkdajGn1RHeJ3sgbdWPGNc+C5UGLacVdTffaNl2WRWECo5s8VaXPTlQOF/9aCtk22bJM/0gr2FFUYI3HQ59lx5goQbT9cJ1usiUgxH06FGd6ef9VVZf0Gp994jwPHG4d+3fLQITDDX3YjsPNizwxT4j7IuKtu0pZX5DGb052ENRtmvpD1HSF4j42MIeZ20sZy3V5ORga6+Y17ecBZ8I6WbJMlvhsVxyRBIXnLtHugIUJtsCrfR4GbXuC850HWO/zoE2ytbVdl6OhCJ2mhcXFkrc0WcYjS5RpGnmayplQJGHYfiBOFYdgbugNGTx2tivm+LBh87Nj7ULcBTNjV1k2u8qyATjY2M+9D50gPKmuI82j8Potojd7POoixoyFfRQDeG44TJVHY3Ngej3ZBcsDvywRjHPZSETbyCZCkST2pPlpNy16LRtFkqjwqATiPOf4JFtjm2iv91xFZvv46y1J5Hi2Bja67XDBMAk7Dh5JosqrjXW5E8TnQGM/PaH4PSGb+sI4rruoqxiEuC9idldk854rKvjRoRZ6Ry6y/DSNP9lTzpbizAUe3eKkP8nKRgP8kkTQdRPuwzvABcMkV1UonmbGsuu6dJjRlqISUOrRZt0CVrAwlGkavSPtVseTryrkTxHJkSSJVR6NVUmuF8Nx49oaA3SNJM0pksT5iEGTnqjJcNSxcKb0WzaHQ2GGx0UnWk2T7QEfRTP01V9JVGT78SgSRhxnykyfuqiFHYS4L3resbeCN2wp4nenOpEkiVs2F5IdEPvCk7FdlybDJJhk1V7u0Vjr9XAoFE66uneJZjpPR9xd1+XwpBVZo2Gyxuthg3CXWzKUejUs16XBMKPZ8lJ0P31rir7DiOMQv+FstBmM4boMWhY1ET1u/bsMlGgqq70zF+OaiD5B2AF0F2oiBoXC3jghm4oz2FmaxcuN/THnrlidO/8DmiFC3JcAeWle7tlTvtDDWLQM2jaHh8MMJTHsVoFh2+apoWEMSGgxO8p0beQbDDMm+ckm6oRXpKliBb+EqPR5qPBq6K6bMovaUdIUGb8sEY5zjbrAkeGox0WiuFOJqrIzzT/j97Vcl/4ENfUDtsOAbZO9zKtEdMvhewcaOd46hAvsKMnkj/eUT6uU+OM3VvOvv6/hWOsAphNdsV+9Ope/uLpqzsd9qSzvb3WJMRQx+fGhFhr6wmT4VG7dWiTC79PgdEifUtgDsjShZ/pU2p01TQ+BbjP+jdMCWg1TiPsSQ5IkfHOwklUkiZKRHu7x6LGdZFvtqJOS8wYsm0bDwGk1kEybSo+HrFlca3PTCmnxYNoOH3noBC819I8de7G+j6Mtg3zu9i2oCTwMXNfFBUqz/XztLdt5pWmAC70hbtpZwlK5IwtxXyS09If5m1+conZcw4Pfn+niQ9es5o4dqxZwZIubiOPE9YqHaCizQlMp8WocGo7v/hev1WquIrN6miVxTpLb43K/cQpmxkafBwVo1A0icc4nu14yR0QoYju0mAbnI2Y0zD9ip9xuWGwL+GL2/VVJIjtOH3uALFkme5kn1T10vG2CsI/yYkMfvzjRzpt3lEw4HjZtPv9UHQcb+wkbNmvzA9x1eRlXrc7l8opsCgoy6OoamqfRXxpC3BcJ973QMEHYAYK6xfcPNPH6zYWiM1wCbDdxKFMC1vq9mI6LnuDO6QBVHo2g4+C6LtmqyjqvNu2s5Gwl/o1TAgrFdyYYhyRJrPd7sVyHugQ9DuJNNnMUmWJN5ZXhMF2mRbx0OwM4rxsUa7F76Ot9XoYnJdR5Jaj2e5b9fvvx1sRCfLx1cIK4u67Lx351mucu9I4d6xo2ON0xxK7SbAZ1i5x0L3vLsrh9e/Gi/+yEuC8STrbFvwibByJ88ak6goaFabtsLErnrbtKhdiPEJAlsmSZgTj+3rk+DZ8koSkS/pH2mZNJkyU2+72zznxd6/PQbdkx0YNSTSV/me9lCmaHT1aIbtzEkqsqqEgMODYykKtE2/6eCOtxjW3GM2A7hB2XgDLxWs5WFa5MC3DBMAk5Dl5JotKrkb7MV+2QvImMNuncyw39vNzQG/O4gYjNk+d7xv79xJlOzncP8zc3rEvdQOcAcfdZAvz0aNvYbP6xmm6eu9DH52/fSsAz8cdpWA6O664o4ZckidVeDyfDkQkrGg3Ykp2OFLFQibZrvWDErnlWadollbQoksS+dD91ukG/ZSMjka8pVHi0RT+zFywMlV6NRsMkOGlCqgKrvVpMeVrYtqfltCgDiS45ryKzcQVWb1y/Po/fne6IKWfzKBI3rJ/YHe5E+2DCVrHjcYDfnOrgzp0lrM4LpHC0qUWI+yJhW0lmwq5wk6+3w80DfPHpOtI9CrrtUpXj42DTAEdbB7Fsl01F6bxjbzmXlWfjui6DEYuAR4mZqS4XyrwafhkaDQvddfBKMhUejdUZfroi0YjIZr8XRZJoM00ijotfllmlqaxPQRtXRZKo9q28G6dgdiiSxE6/j1ORCH12NGsjXZap8sQKO0DQduOG4ieTrSj4RffCCVy5Oo+3XlbK/x5pHTMDC2gKd+4s4YqqieVsRenT/w0PGzZPnutmdd7ibUQjxH2R8GdXVnKua5gz4zzjExkoADx0rC1hudbz9X3U9YR449YinrvQS0NvmEyfyr6qHO599dplubLP0zTykhhySJLERr+X9T4P1kip02I3oRAsX7I1hSu1NAYtGxOXHEVJeD1mKjIeiaQti9NkiU1ighmXD1+7hps3FvDomW4kyeXGDYWsL0yPedz+qmzyAlpCV7rJBBb5fVRy3TgbkUuQpZDBOFWmZciwefBwCw29YdJ9Crrp8PPj7bN+P1mCyRViN6zP55O3bp71ay5WXNdl0I6GxdMVGUmSyM9Pp7tbNNiZT5ZSNvFS4uhwhCYzVnTyvSp5kkyV14M2bnLQa1m0jSTtFWkq+ZpKv2XTa1mkyzIFcRLvVjJnOob4h9+coX5S9NSnykSs2Fh9SaaXH79jd8zW6HxTUJCR8JxYuS8iAh6Fd+67GOa50BPi0ZougvrsmkXEK/1+4UIftV1BqgtiZ65LlRbD5HzEYNCJ1gqPrt/VoWHSJYk1Xs+UFqICwWJmW8CLGo56J+hE99cDssSO3Az84Yn78adCEeoNc2w774Jh4pck9HG2y7mKwo6AV/jLj/CN5xtihB1gTV6Aogwvz9b1jO3HF6Z7+PNrVi+4sE+FuOPNAMd1GYpYpHmUhOYHqWR1XoC3X17G915uIhxn9jgbQqbNkZbBZSPufZbNidDFZDoXxmw+DdshBAzYYfakBYShjGDJIksS2YpC08iV7hBtOvN0ex+bfN6xVsVdpskFw4ypmZ9cKdJr25wI6+xLX7wJYfNFULc40ToY99zZziD/cPN63rxjFQeaBijKCXDT2hyy/IvfAlyI+zRwXZfvH2zm96c7aR2IkBvwcPWaXD70qjUxzlGp5r37K9lXmc3vz3RhWA4FGV6+91IjkSn8UeOF5CG6j19dkDZHo51/Gg1jymQj3YV63WCnOnP7ToFgMeC6LhcMI6aAznShXjcpH6nOaEvQlz4evZZN0LZXRElcMlw3Nml5/DmAfVW57KvKXVLbTkLcp8EPDzbz1WcujCWwBY0wP3qlhbBp8/Gb1s/5+28ryWJbSdbYv3uHDX42rjwOwK/K6LaD48La/DTW5AV4vKYrRuB3lWWzszSL5YKexHZ2PMNx6uAFgqVCxHUZTNDsaNBxCNoOGaoyI1dEGwg7LukrW9vJ8KlsKc7ghfq+mHObitNZm780F0NC3KfAdV1+f6Yrbmb60+d7+LOQQc48d2n72xvWsak4g+fretBtl+r8NO7ZXUrzQISw6bCjNAtFgvJsPw+f7qB1UCfNo3B5eRYfu3HuJyPzSbT0Z+qchFQ2AREI5hsFCYX4K0wF0EYiiLmKSlMCg5zJyIBH/CwAePcVFTT0hWgd0MeO5QU03rm3YlaJh11Bnf890kpfyKQ8x88f7SyZ9yolkS0/BcOGxW3ffJmBSPwfzBffvJX9VdNr/7cQIZ2waXO2M0hRupdVWb55fe9k9FoWrYaFi0uBqlI0g+xd13XpMi06LBvTceiy7ClD8zv8Xsqn6RcvmD1LKWy51DgYDNEex+q4UFXYO7J37rouh4bDcR8Xj1xFYX+6X2TOA+2DEX7ySgsdQzq5AQ9v3rGKNZNW7dO5vp85382nHj9Hx9DFJkEbCtP41K2bKc1O7dagyJa/BPyaQm6aJ664Z3oVVucu7oQUv6YsujD8mbDOBd0YW283GBYlqsquNN+UNxnXdTkWitA8aW/RN5INHG+mmqvIQtgFS57Nfi+RUIT+ceH5PK/G5nHNYiRJ4rI0P/W6SY8VvWflqAqNukEozo+jd8T9rtAz8z7xy43iTB9/9eq1l/Qajuty3/ONE4Qd4GznMF99rp5/u2XTJb3+TBDiPgWyJHHt2jwu9IRizu2tzKE4c/GshpcC/ZY9QdhHabUscg2TqilEuMWwaIpjxam7Ljv9Hroth/ZxzTVkQEVi0LbJXOGJQ4KlTUBRuCo9QIthMew4+GWZXaU59EzycpAliTU+D2u4+FtqMixw4+/ZBx2Hwjkd+crhlaZ+znbG99Y41jKA7bgoc5yEPYoQ92nwZ1dVETFtnqjtpjNokOlTuaIyh4/fWL3QQ1tytBhmwh3ybtOmagqTrS4r/vaIC/TaDmt9HrosC3NkleIAnbZNaDjC1RkBsfcuWNJIkkSZ9+Iqe7ouiwFZYjiOtitArmhwlDIMK370EKIdLOdzD1x8q9NAkSU+ev06PnBVFbVdw5Rl+yiYgQ+xYHok/lmMf0xiWgyLDtMiEudBQcehXjdYJyw6BSuQco9Gn2XHpNoVaIrwf0gheyuzWZPrp6431hBnc1HGnJdOj0d0GZgB6V6VXWVZQtgvgQJNIdHlPZ2bTG6Sx1gQV9hHCYlyOMEKpcSjsdXvJUeR0Yiu5Cs0jV0B4f2QSlRF5u17ysn0TVw3l2X5eNe++W0yI1bugnmlQFUp1VSaJ+2b5ykKa6aR9Fbh0eg0LTqnmQ08Hq8k5rKClUuZ10OpR8MmuqobDek7rsuAbaMikSFW8ZfMG7cWszo3wC9PtNMXNinJ9PK2y8vmPT9LiLtgXpEkiR0BH7mGRddIxnuOGm18oUxj/1CWJHaPZAN3mxZdtj2tfSwJsB0H13VF2Y9gxSJJ0oSbfqNucEE3GRrpy5CjyGzy+chZ5B3PZoPjurgu85LQtq0kk20lmXP+PskQ4i6YdyRJosKrUeGdXfnNaDZwpVfjycHhGN/seLhAnWnh003WpKCHu0Cw0Fiuy9mBYYZ1gxKPNq3J8Xi6TZNTYX1sH340KfVoOMLV6vJJPu0YjPClZy5wrHUQy3bZVJzOu/dVsGXV9MT3XFeQh0934eBy++5yygNLo2xQiLtgyaJIEnmqEhPiT0arKcRdsPSpixhc0I2xie053aDa66FsBn4OTYYV18su6Dg06CZrl8HvRLcc/uaXpzjdcbE8ret8L+e7h/nKndunNJW57/l6fnyohaAR3Qb8nyOt3LqlmL+5fu2ijwCKTUjBosV1XXotix7TIpGR4ha/l0JVmXAhpyX50UWm6UUvECxWuk2LsxF9QsRq2HE5FdYZtqefi6IniXhFlkny6c+PtU4Q9lFaBnR+/EpL0uceaxngBweax4QdIGI6/PRoK4+e7Ur5WFONWLkLFiUdpklN2GBg5CaTIcus83oonRTK12SZvekBei2LPssmQ5bxyRLPB8NxVyW+eSxFEQjmgmYzvleEATToJpsD09sv9yf5LaTNQ0vr+aAhTknaKK0DkaTPfeRsV9xW244Lz9T1sL0kk2+/1MiZ9iEUWWZHSSYfuLoK/yLJVxDiLlhQgrZNg26iuy5+WWK1R8MBjod0IuNWFkOOw8lwhHRFJitORm+uqk4w48jXFNrNibdACSjVlsZ+mUCQiDh6c/FckvRS13VpMkw6TBsbFy/gITopGE+WIlOxTOxos/yJ/45k5wCMBF34AIZ1i3sfOklt1/DYsZPtQ9R2DfPFO7fNaz17IoS4CxaMDtPkWCiCPu5+1GZaZMvKBGEfxQAaDZNtI+Juui4Dlk2aLOGfZC27K+Cn1rFpCkYwXZc0WabUo7J6GewjClY2aYpMosZvGXLiVePJsE69MbHFkp9ohnzQdpAlyFEUNvm903a+W+y8ZVcJvznZQfuQPuF4ukfh1i1FMY/XLYeHT3cS1C1W5waQiG+cFTKcCcI+yoGmfn57sp03bluVor9g9ghxn0ccx+XZ8z10BHVetTaP/BVshuO6LrURY4KwA4QcF9tNnCBnOC6u63I6rNNqWkRcFwXIVxV2BHx45Gg4UZEkrinOoa1zENN18UrSsrlhCVY2azwaHaZFcNK+eLYiJ6xAGbRsmo3Y3olhoFBR2JsWQJaYccb9Yic34OFjN1bztWfrOdsZxAWqcv3cfVkZl5VnT3jsk7XdfOmZCzT2RUP5WT6V0iwfzZPC95eXZeHXEm9bnO4I8sZtqf5LZo4Q93niRNsgn3/gKMeaB3CB+55r4HWbC/nLV61Z9FmXc8GQ7UzobjWeyYI/Hr8scS5iUDfuRmUDHZbNkVBkrPXlKKokLZuSHoEAwKvI7E7zURsxCAK27ZCrymzwehOK84WIkbDL+4Btj/WDX45cuTqXK6pyeKWpn4jpsLcyB486UZyDusVnnzxP2+DFFf5AxGJIt7ihOo+I5eC4sG9tPm/eUsi/P1KT8P0CHrHnvmKwbIf/eLSWmnFhnN6wyQ8PtfDUuW4kSaYww8PrNxfxxq3FCzjSxY0EVHo0XgnFT4TpsWwGLZtM4bIlWOakKwq70vxT9hcftm2OhXR6kmTRR2yHJt2kzKMu24WGLEnsrshJeP6nR1snCPsojguG7fL5O6JL8dHP+4YNBTxe241hT1yJZPtV3rRtcdzDhbjPA78/0zlB2MfTPBC9oJr6wxxvHSRs2Lz1stL5HN6CkKHIZCtywtV7IlSJuPvxEF3Bd1sWiiQRWMYrEYFgukwl7AAR4Gg4QpOhsDvt4tbWSmJIT/wZDRux5161Lp8/2VvOT4+00ReORhGLM7y8d38F5TmBmMcvBELc54HOYOyMMB6G7fLLE+3cubNk3nr+LhSSJFHt88RkxfslCdN144YQA7KEJssEZAndji/wpyIGpyMGWYrM5QEPoi2GYKXSZ1n0zqDuvde2ORPR2b4Cm8nsKs3kB1K0LetkqnLjfx7vv7KK27et4pEznaiKzBu2FJHuXTySuvKmaAvA5WXZeNXpiXVjX5ju4cnFKcuTIk3jynQ/azwapZrKOq+Hq9MDFGvxfyDFmoosSZRpWsLOchDNbu23HZ7v7GdoBjc3gWA5MWQ7M+4f3puszm4Zc+XqXK5anRtzvDzHz9suL0v4vMIML/fsKeeuy0oXlbCDWLnPC9tLs7hqdR5/qO2e8rEZPpWMRXaRzCUBRYkx3dgW8CGFInRaFrobXc0XayobR3qxV/o8uECTYRJyojeweCv9sO1Qr5tsm6aph0CwnMhXFTQgNkc+MTOfDiwPJEniP27dzDeer+dQUz+65VJdkMY79pRTmbs4wuwzZeWoyDRp6A3xwOFW2gcj5AQ0bt1axM7S7Et+3X99/UbWvtLCU2c6GTZsdNOhOxS7Qt9Tkb1osi0XCkWS2JHmx3Rcwo5DQJFjMt6rRhrHWC6cDIdpNuOv0HVhNytYoQQUhWJNpWkGvReylJV77/GoMh+6ds1CDyNlCHEfx5GWAf7xt2cmZE0+UdvDX716zSVnsXtUmf97y2b+dG85AL0hg3/+3VkONfVj2C4+VWZvRTZ/c/3aS3qf5YQmS2hJTDkkSUKTICArENeQU9jNClY22wM+egaHCU2jc6JXgrUzaDwjWNwIcR/H/S81xZRDDOkWPzrYzOs3FaJeot+yYTk8eLiFMx1B/B6ZD1xVhWE7nO0MsnVVBluKF7b/71KlyqvRYpoMT1qlBxSZqlm2lRUIlgOSJFHm0ajRp87j0V3oMi2yRSnpskCI+wi65XC6I3696PmeEIdbBtiTpE5yPF1BnUfPduFRZF6/uYiARyGom/zFt1/ipQu9Y4/77clO3ndlZdKEjZVAv2XTZVl4JYnSWfSl9sgyuwJ+zkZ0eq3oCj5LldldmI0nNJMdR4Fg+bHG56HDshiYRtnpBd2g3KPhWyaNY1YyQtxHkCUSmv3LEvimOZv95vP1/O+RNnpHah+/f6CJ9+2v5Fz38ARhBwgaNt870MRrNxWSG1h54bBBy+LgcGRCyLBON9ni91KQIGM+Edmqwr70APpIgp1PlilI89ElxF2wwlElib0BP7W6TqthxTSKGY9BtOvcOmXlWmMvF8T0bARNkdleEj8svqkog62rMqZ8jSdru7n/5aYxYQdoHdT50tMXONjUH/c5PcMmvznZMasxL2WadYNnguGYvcCg43AqrONMY48wHl5ZxrcCTTgEgkREHAdXgq0BPzdlZ3B9RgBfkuDYSs5ScVyXAw19PHu+B3OGBluLDbFyH8dfXLOa5v4IZzqDY8dKMr382dVV07JlfLymK8aOEKJWs3KSxK7ZCtlSxXFdToX1hEU3Q45Di2FRLvbLBYJZ022a1OoG/SO16zmqwnqvBxs3Wn0S577jk6B8mbR7nSnPXejl65MazLzt8jJu377wHd5mgxD3cZRm+/nmXTv4+bE2GvvD5Pg13rKzhOxphMxN26GmK5jwfLZfjWtOk+1Xed2m2NaDy5kOM3loEKDZMIS4CwSzJGTbHJnk/tht2fRbYRwg3ppUBdZ6vSvSfrY3ZPAfj9bSMa41bH1vmC8+VUdVjp9dkzrILQWEuE/CpyncPcMEN9N2+OhDJ6nrCSd8zG3binnsXA9HmwbGjnlVibt2lVKYsbL2t6YTpxi0HSK2jW8F190KBLPlgm7G7cGQqOI9XZa4LOBfsU2XHjzcOkHYRwkaNr861SHEfaXy4JFWnq/vS3h+d3k2f7SzlPdcV82XHjlDbecwAY/CTRsK2Vc1vQz85USRppK4Mj2KCbSaFmuEuAsEMyYyQ/MmCWnFCjtAfzhx4u1AknOLGSHuKeBYy2DCc+vyA/zXm7agyBIBj8q791XO48gWJ4okUe5RqTeSO2d1WzZmWKfUo5IuRF4gmDZzYd40bNvU6SbDjoOGxCpNpWSZbJ0lag4DUJLpm8eRpI6Vt7kyByhJfkeXlws72XhsDfjZ4NWSXoCdlk2tbvDsUIiz4el11hMIBFFjJ98M/CJyp1i1D9o2Lw2HaTBMui2bNsvicDhCzTL5Xd6+vYRNRekxx0uzvNx9+dJswS1W7ilgT2UOj9bENoXRFInrq/MXYERLg2q/jzU+LweCYbqTdG+zgPO6QZ6qkD/D+neBYCWSpijsCHipjRj0TlHSlaPIbPAlTxo+FzEITQr1u0CDYVDp0fAuMtObh0918FhNNwMRk9IsH2/dVcqm4sTlzF5V5lNv3MyXn77A8bZBLNtlc3E679xXQUnW0myBK+6UKeC2bcUcaurn0bNdjF7/HkXizp0lXLYEEzHmE0WS2Jfup8206Ldsui2bQSf2ZuQAraYpxF0gmCYFmgYuvBSKxD0vA5t8Hiq9HuQpVvmJ3O10F9osiypl8ZhwffuFBv77pcaxsuQjLYMcaOzn/71+I5cnuR+vyvTxb2/YhOO6OG5iU7PZEDFtajqDFGV6KcqYnzC/uFOmAFmS+NfXb+SG9QW8WN+LIstcX53H7mna1a5UHNflgm7SbVm4QLai4JcgUQaDaPAmEEyfiO3QaiZOBtMkpiXsAMmC9uoisr0J6hY/P94e4zfSGTT44cHmpOI+iixJpErXXdflvhcaePhUJ80DEdI8Crsrsvm711STnza3EyIh7ilCkiSuq87nOhGGnxau6/LS0DA9zsQ6XH+SG41oaCEQTI9zEZ26iJHUTyJbURMKe79pc043GHRsZOIb3gCkyzIlnsUjI8+c74lb0gZQ2xXEdd1pGZKlip+80sJ/v9g4tjAZNmyeOtdDxHT48p3b5vS9F8+3soyp6Qzyh5puMjO9XF+VS3Hmyqprn4xuO7w8HGIgzlI8nOAmEgAqVqhzlkAwE7pNi9qIkbTUNE2WqE6wzz5k2xwKhcf9FqP/VZlYJ++TJDb6prfyny+y/dEk3XibCD5VmVdhB3i8pjtuxPFwcz9HWgbYWZo1Z+8txH0OcV2X/3riPL880U7YjF5u3/GrvHNvBW/fvXI7wR0LR+IKezIcVrbntUAwXVpNM6GwBySJVR6V1R4toUHUBd2IO8m2gCpNizbZkqRFmUi3ryqHjcUZnGqP7fB5WfncCWkieuK4kgIYtkttV3BOxX1xfTPLjIdPd/I/R1rHhB2gP2zx7RcbqOseXsCRLRxB26bHSramiE8EMFeYB79AMBvMJMnxuarCJr8vqfPjcJLselmCzQEf6/3eRSfsEN0v/+tXraEqNzDuGOyrzGZLcQYffegk7/3xEf7xt2c43jqQ5JVSQ6IorV+V2ZGgUVmqECv3OeSZ871xQzJDus2vT3bw4Vetmf9BLTDDtpPQAjMZMsy4z7tAsBLJVGXaEvzIsqZhBqVJiQLb4JkDc5xUs7Msi+/fs4tfnGind9hkU1E69b3DfOrxc2OJdkdboxn0//za9eyryp2zsdyypYjjbYPo1kQhuKIqh/WFU3cavRSEuM8h9b2JV+f6LFavy4FsRcErRUtoZkKGLAtxFwimwWqvh3bTiilfy1FkKqbhKFeiqXSMVLCMJyBLVHoXT8lbMnyawlt3Rc1nwqbN5548H5NB3z1s8MnHznFFVQ5VuQHetH0VXjW10Yg3bClGNx1+caKdxr4wmT6VvZU5fPS6tSl9n3gIcZ8j2gd1mvrj15cC7Cqb//2fxYBXkVmladQbsSU6qzWNIceJMbTRgL3pS9NIQiCYb1RJYm/AT61u0GfZIEGuolDt80xrglzi1Rh2HBqMi81nMmWZjX4P2hKcYL9U30frYPwM+uaBCP97tA2A35zq4D/fuJniFNvNvnlnCbfvWMVg2MLvUVI+gUiEEPc54hfH24hY8UNbuQGN69cXzPOIFg9b/F5USaLTtNBdh4AsU6ZpVPo8OK7LuYhBp2lh4pKnKmz0rcw2lALBbPEqMlsDsxepar+XKp+HNsNElSSKtcRlc4ud7ICKIoE9RbTwdEeQLz19gX97w6aUj0GWJLID81vtI8R9jjCSJKWszQss2R/KbDEch2bDAlzKPBob/V42+r0xdaeyJLHe72W9f2WXCwoEC40mSVQskTB8MnaUZLFlVQbHWmMz6CdzvHUQx3WXxf1ZLIfmiL2VOXgSdJTZUBjboGA5cyFi8PRQiFMRnVMRg6eGhjkfiYbJ5rvuVCAQJKbHtKgJ69TrBvYyqU6RJIm/fvVa1uYHpnysNWI9uxwQK/c5Ym9FNq+uzueRM10Tjm8oTOOP95Qv0Kjmn37L5mxEn5Ahr7tQEzHIVhTyhFe8QLDgGI7DS8EQg447lkhXr5ts8XuiHvVLnK2rMvne2y/jlyfaaR/U+e2pDrri1KBvKkpPqaf8QiLurHOEJEn8v9dtZGNhOgca+zFsh52Vudy5tYjcOfYUXkw0G2bc0jcbaDFNIe4CwQJTFzGomTQBBwg6DqfCBteoS3e/fTweVebOnSUAlGb7+OJTdQSNi8m7JVle3rGMFl4pv7OeOXOGz372sxw6dAjLsti2bRsf/vCH2bt3b9Lnvfzyy3zxi1/kxIkTyLLM7t27uffee9m4cWOqhzhvKLLEH+8pH1upFxRk0NU19b7PciKZ8Yw1jfCX67rURgw6LQvLjXpZV3k10R1OIEgB3aYVV9hHGXIcWk2LsmVm/Xz79lVU5Pj5zckO+sMmJVk+7tpVSlnO8qnKSekdsrGxkbe//e2sWbOGz3zmMwA88MADvPvd7+aHP/whO3bsiPu8Q4cO8e53v5v9+/fzla98hWAwyHe+8x3uueceHnroIcrKVq5V61InU1FoMePfOjKm4XB1NBShedzzg45Dr21xWcAvBF4guESazfiRtfEYcVowLwcuL8+eVpe4pUpKE+q++tWvYts23/jGN7juuuu47rrr+OIXv0h+fj6f+9znEj7v85//PPn5+XzlK1/hqquu4uabb+arX/0qlmXxta99LZVDFMwzVV6NnDginqXIrJ4iE3fItmmPMzEw3Oh+oEAguDTMKbLHNKBYTKKXJCkTd9d1eeyxx7jyyivJzb1o5+fxeLjpppt46aWXGByM7dTd39/PgQMHuPHGG/F4Lt7sc3Nzueqqq3jsscdSNcRFyW9OdfA3vzjJBx88yn8+XktLf3ihh5RSFEliT5qfKo9GliyTKctUejT2BvyoU+zjdZlWwlVFt2XxwtAwrwyH6UrSs1ogECQmfYroWalHIzANy1rB4iNlU7LW1laGhoaorq6OOVddXY3jONTU1LB79+4J52pqanBdl/Xr18c8b926dTz22GO0tbWxatWqVA11wTBth18cb6OpL0xJlp/mvhA/PtzCqNfNgaYBXm7o5z9v28yavLSFHWwK8cizM9TwJTGusYAe2wHbodO02OJ3KV8GNbkCwXyyxuOhw7QJTgq9q0C1z8Ma8ZtasqRM3Ht6egDIycmJOTd6bPQxs3neUhf3xr4w7/nJUY61XOxEFM81qaEvzPdfbuafXrdhnkc4v4RtmzrdZMhxUIBCTaVcU5HHCfoqTSVLlqZsD2sBF3STMo8m6uYFghngVWR2p/moiRgM2DYSEjmqzEbv4uz6tlD0hgy+/WIj53vD2JbNztIs3nNFBT5N4XDTACc7hliXF2BfVc6iuQelTNwNI1ozOD60Poo2UicZicR6reu6PuEx033eZHJyAqjqpYWPOgcjfO2p85xqHcSjyly1Lo/3XbMWJQV1jx/77dkJwg6J7RDP9YYoKJjbjkELyZBh8WxbL/3GxaB7h2VzKqxT6PewISuN1RnRrNWrM3y82DVAzxR77IOOgyfLT/akxhjL+XNcrIjPfH651M+7AFidmqEsWWzH5VdHWznU0IdfU/ij3WVUF0U/18Gwwd9MWpgdaRnkbFcQj6byQl03huWiyRK7q3L5/Ft3UJS18Fn3KRN3rzdqF2rG2f8cFX6/P/YP9vl8CZ83eize8ybT1xea/mDj0Dts8OGfHeds58VObs/UdnOorpd/u2XjJc3G+sMmL9V1T/vxCizrkrnjofAEYR/FBtrCBl1hg6HBMKs8GhJwhc9Lm6IwbDuc0w3i9dNTgMH+EOa4lf9KLD1caMRnPr+Iz/vS0S2Hv/3lSV640Ddm4POTlxv40ysreetlZXzjufqYhRnACxf6JvzbdFxeqOvhbx88wmfetHUeRp58YpeyuEtBQbQRSm9vb8y57u7uCY8ZT35+PgB9fX0x55I9L9V8/0DTBGEf5cnaLl5qiB3bTIiYdsImMvFY7h3j+pP47kM0zH4monM8FOZsWEd3XEo8GtV+L/kJojO5ioJfNJcRCGJwXZegZTNo2bjLxFI2lXznpQaeHyfsAIO6zX+/1ET3sM657sStu+NxsGmA7jjud/NNyu6GxcXF5OTkcPbs2ZhzZ8+eRdO0uElzGzZsQFGUhM8rKCigsLAwVcNMSE2CL9B04OWG/kt67aIML+sL4ifIje/+J0tw5eoc3n9l5SW932JnOpsnw45Lg2FRqxs8GwzRPtIidpPfS9akvcAMWWJTQDSaEQgm02NavBAM8VQwxNPBEM8OhWiN0245Hq7rxp0MJDq+VDnSHFvFBdAbMvnViQ58M2zROmzY9C4CcU9pAePNN9/Mz3/+c7q6usZW26FQiEceeYRrr72WtLRYgcvIyODKK6/k4Ycf5qMf/ehYmL6jo4MXXniBu+++O5VDTEiyHrueS+y/K0kSd19WymeeqKM/fPGHlelV+cBVlQzpFkHdZntJJq9al7doEjLmijxVpdee/sUfcV3ORAwKNZV0ReGq9ABNhsmw7RBQZMo92oQ+1brt0GfbeKZ5ExMIliOG43A0HCE0LiF1wHE4EYoQkGWyE0TBQrbN2YhBn23jAtkjveBNx+W8bjBoO8gS5CkKm/xLvx2zlSRh13JcXl2dz+M1XZiTAo6yRNwmM5W5fqpyp25SM9ekVNw/+MEP8vDDD/OBD3yAD33oQ2iaxje/+U3C4TD33nsvAA899BAf//jHue+++7j66qsB+MhHPsJdd93Fn//5n/Oe97wHXdf54he/SFZWFu9///tTOcSEXFmVw7Pne5n8XeX4Nd607dIz9W/eVMSakmy++2wdXUGDgnQPt24tZl9lbJXAcqfa56HPNOmeQfuloOPQblqUeDRkSaIyTomO67qcCOu0mSaGC0caI+QpCtv9PpH5K1hxXNDNCcI+igGcDkfYnxG72LJcl4PDYQbHPS/sWPRbNrbrMjYldyHkWAw7LvvT/YtyQdI5FOGbLzRysm0IJNi2KoP3X1kV09tjU1E6R1tjV+9pHoUb1xdQlRfgVHuQh461MqhHM37y0jQuK83i2Qu9hMepvkeRuHVL0SUvCFNBSsW9qKiIH/3oR3z605/m3nvvxXVddu7cyfe+9z3WrVsHgOM42LaNM66uctOmTdx///189rOf5YMf/CCKorB//34+97nPje3JzzVv3lHCmc4gvz/dNbY/nhfQ+NMrqyjOTE3I98p1+VRnrezwsTmymugfuXmM3hKmI/NTtaA8GzFoGLdat9xoFv6xcIQ96Qs/kxYI5hPdTZzb0mM7XIgYrPZNFLp63Zgg7KOEE/z2em2bVsOi1Lu4vOeHDYuPPHSKM53BsWO1XcOc7Rzm62/Zjk+7GLV41xUVHGsd5FTHxceqctR/viovet/40LWredO2Ip5rGkSPGNy6tZjcgIdHznTy65MddAxGyEv3ctOGAt60fXGUbUvuMtk8SVXG6Im2QZ4534NHlXnj1mIK0lMnxiKzFQ4Nh2gz4+W7J8cvSbwqMy2hq53rujw1FIox44DoHv/VGQEyhNPWnCOu8fkl2ed9LqJzJpJ4+ytTlrkmIzBh1X10OExTgl4QiVjj0dg8C5OqueTbLzTw9ecb4p77y1et5p7dE7u/DUVMfnSohZquIH5N4VXr8rhxQ2yu12K7vpNlywvT4ElsXZXJ1lWZM35ebVeQXxxvZ9iwWJuXxp07S/BpCq7rcqE3hG27ZOek8ejZLrqGdK5ek0vFItiXmU8itk33LIRdAVZ7PUntal3ATLBSsYEh2xHiLlhRVHk9NBrxQ/MQ9YaIuC7+cb+rqSyh4+FdhHvudT2JS6PPdcUmT2f4NN5/VdUcjmj+EeKeAn5+rI0vP103th8D8FhNN3+8p5QfH2rlZPsgtgNeTSYysj/zrRcbuGF9AR+7sXpZ9EqeDmHXZaYpbjmyTLXfQ2Eck6PxyJKEX5bR45TZeYBcsecuWGGoksQOv5cXhuObgEmANuneU+XVaDFMJq/3FYjrL5EmS1QuspA8QJo38UQ+3bsyZE/c8S6RkGFz/0uNE4Qd4GT7EP/v4RqOtg5iOdGVZWRc4sWQbvPQ8Xa++3LTPI947gjbNidCEV4YGualYIgLEWNCyUyGokxYJUxFliJzZUZgSmEfpUzTiPfqRZqGT6zaBSuQLFVNepN3Ju3KpikKWwM+0setxtNkiS1+Lxt9ngm/3yxFZpvfN6vV/lxzy+Yi0jyxv/kMr8IbtxbP6LVc16V1IELb4NROqYuJlTGFmUMePt1B66Ae91xocu1EHJ6r6+Vd+ypSPax5J2zbvDwcYWjcnneXZTNo2+xIizoMqpLEKk2lblKJmgQUqAohxyU44jWfoyhsDXhnlIVbNZIc1GiYY3vvKiDjYjjOki/ZEQhmipkkpcoFIo6LZ9LPosSjUaypdJgWLlCkqWOlplVeD52mhSZJ5KvKosySB9hRmsUHrqrkBweb6RiKxiGKM728c0856wvTp/06L9b38u0XGznZHt1n31WRwzsvL2XPEqhyEuJ+icygmisuQ/rMklcWG47rIgHnRprATKbVtKi07LGa2k1+L6ok0W5a6K6DT5Yp1TTW+Dw4rsugbeORpFm3mSzzajQZBqMjMYAG02LQcbgiPTChHl4gWO74JIl0WWYwzm8zTZZIS7BdJUsSqzyxETNVkiiJc3wxctdlZbxhSzG/O92JLMHrNhURiLOaT0TrQJhPPFIzNjkAePlCL009w3zzrp0UZSzuyich7pfIazcVcv/LTXQMxV+9T8ViMDuYDU26ETWScRw0SU6azNZhWmPiLkkS6/1e1vu9OK47Id9AliSy1Uu7JC/oRtwucn22Q4NussYnWlgKVg6SJFHm0Tgd0SeUm0pEt7GW+2Q33avyRztLZvXcBw63ThD2UdoGdR483MKHrl1zqcObU0Sc8hJJ96rcs7s0Zn9nXX4aZdnJy0Py0zy8ddfsLryFpFk3ORHW6bUddDdqMKMniWAoCe4fc5FIOJTEt37AnnmmvkCwWHFcF3PcirzbtDgdilAT1icklq7xedjm95KnKgRkiVxFZovPS7V/ca88F5ruYOIywmTnFgti5Z4C7rqsjE1FGfzmVAfDukVVXoC7LyujdTDC15+t53jrILbrkpvmRRqZP6/JC/DWXaVcVp69sIOfBU2mGTdzNh5eCcqnmRCXCtQk84XJmcECwVLEcBxOhnV6LRtnaJg0CUCiz3bGVucNhsEGn5eKESfHCq9n7P8F06MoI/HnpSVasSwihLiniB2lWWwvycR2XNSRfaz1Bel89vatBHULx3VZW567qAwQZktoiq5uo3gl2Ojzzqv1a6mm0WJYMZMPFShbInuFAkEiXNfl0HCEntEolAv66P+MQ3fhbESnSFWF9fIsecuuMh483Ipux4YlWwYWf+a8EPcUYDsuX3u2nmfreugLm5Rl+XnD1iJuH7EhXG51lR5JimtHKQEbfR4Mx0WRJCo92rzfWPI0lfU+D3W6MbZV4JNgjdebsFGGQLBU6DCti8I+BbobjbKtU5KH313XRXddVEmKKWvrME0adJOw4+KRJVap6lhVynLHo0rIsgRxxP10R5CeYYO8tMX7WSwv1VkgPvV4LT8/1j72796QyZnO6Ar99kXiM5xKijSVAT12zylXUVjrW/h9vLU+L2WaRr9XZjhoUOZRRRmcYFkwMM2o2ShxdGkCjbpBgx4tHVWlaMfGrSOd3loMk+OhCGP1PA70WDa667JhBezX65aTsGOcbtno1sy+i/lG3PEuke6gzpO1PTHHDdvl1yc6FmBEc0+1z0OVR8M7MsmXgQJFYeci6qnuVWS25mSwxucRwi5YNvhncC0rRCfiiWg1TE6GdQYcB5voSr/VtHglFMF1XRp0g3iFus2GibU8WpIkpTjDy4aC+DXxGwozWJWihmJzhbjrXSLHWgfpC8c3VW0ZCGPNcKa9FJAkia0BH9emp3FZwMdV6QH2ZQTwCxc4gWBOKfOoZMrTS+ZapalJt6KajfiJsT2WTadpJaw8CbsuvbPoEbHUkCSJt+8uI9s3cYKU5VN52+Wli9bAZxQRlr9EqnID+FR5rE3seLL9Gso0f4hLEU2WcO1oiVlAkVOejT5s2zQb0bVDqUclXUweBCscWZLYGfBHs+VtGxcIyBIlqoKNxKBtI0sShapK1RSe7+EEIWeXaEmpJkuYcR4jA75lfF8bz2s2FJCf5uEXx9vpDEYoz0/n5uo8dpVlL/TQpkSI+yWyJj+N3eXZPHuhN+bc1WvzONjUzwOHW2noDZGT7mVPWRbv3lex5EW/3TA5EzHGbF5rIgZVXo11KdpzrwnrXNCNsUYzF3SD1V7PitjrEwiSkakq7M8IMGDZ+DN9KMPGmBnNqGPkdFaVPlliKEFgMV2RyXcUGp3YwHyuopC5gpJTd5ZlsbMsi1ea+vlDXR8/fqWVZ+v6eNvlpSKhbrnzDzev518fqeFgYz8RyyHXr/Hq6jz2lGfz9785Q28oKlH1vWEON/bTNhjhH2/esMCjnj267XAirBMZt+8WcV1qIgYZskzRJZacdZsW5/SLFrIAFnBON8hR5Wk3khEIljNZqkJBmo+ukEm3aVGnGwyMrNxzFYXNU5Shlmgq3ZbN5LV5rqJQpKnkayr6cJguyx77LeYoMlsXUW7NfPE/h1v4yrP1DBsXtyOeOd/Nf75xM1V5aQs4ssQIcU8BuWkePnf7Vuq6h6nvDbGjNJO8NC9/84uTY8I+nidqu3nHnnIql6j1bL1hThD2URygxbQuWdxbTZN4CwoXaDMtIe4CwTgGLJsjoTCR0Z+k69LiWIQdl/3p/oSr+HKvB8N1aTKssYZNearCNn+0YZMK7EkP0GNa9Ns2abJMkaYu+r3mVBM2bX54qGWCsANc6A3zrRcb+cQtmxZoZMkR4p5C1uSnsSb/4izuQs9w3McFdZvn6nqXrLgn6zSV7Nx0SdaMZ6rSnskYjsMF3STkOHikaO9psXcvWE7UG8ZFYR9Hr23TYliUJdl7X+vzstrrYci28coyvjjZ+HmaSl6SrPvlzuM1XQlNa061L15TspX7jc0xvzzeTutA/GYyEiz6jkLJyFQUIH6FQFoKys6yVYVmM363vOwZCHOvbvB8MDyWFwDRqMBWvy9uxyuBYKnQrJu0mCZ2KMyQkbiz5KBtA8mvdVmSyLrEhk3LGS3JPW0u+mOkClEKNwe09of50jN1cTNNATYWpfPq6vx5HlXqKPOo5MYR2YAssWaKDN3pUOHRyIvz+rmKQuUMXv9wT3CCsEO0lrc2YuCugDpdwfKkLmJwLByhy7LpNawE0+wo3llOtgcsm3bDxIjTKnalcf36fKpy/XHPbS/JnOfRTB8xXUsBluOijst+//nxdvrD8WfTGV6V/3ND9ZLOlpclid1pPs5EdHotBweXLEWh2uuZdR/2ya+/N91PbcSgz4p+jtmqSrXPE7dF5ZBtU68bhB0XryxRoWlkqQpdkfidmwYdh17bJk+sVgRLDMd1aTTi56RMJk2WZjQZhmj56fFQtMzOIdoPvtSjstHnXXF77aNoisz79lfy2SfO0zMuh2pLcTp/dnXVwg1sCsTdbZa4rsv9Lzfxh5puOoM6RRlebtpQwNt3lxFKEibbXprJllUZ8zjSucEjy2wPxJ/NpgJFktjo9wLJty+6TJOjociEPcd2w2LzVCVzYuEuWIIM2nZMNCoe2YrMZp8XVZIwR0xn/LKUtITNdV2OhiL0jjOvibgu53UTrySzZgl4ytuOy6Nnu2juD7O+II1r1ualZFJy08ZCthZn8NvaHjr7QlTlBnjzzhK86uINfgtxnyVff76B+19sHJtB94ZMznYG0W2HLasy4Uhb3Oety1uaSXSLlfO6GZNMZAL1ukm+T6MpFJv3kCnL5K6gOl3B8sEjSSgQ11nOK8Fmnxe/IpMzEkE7E9ZpHqlukYlubW0LeEmLE2HrMq0Jwj6eVsNAlqDPslEkKNE08hdZkl1Db4h/+t1ZTo4kuckS7CrL4t/fsIncwKVPTEqy/Xzs9ZuWTGfPxTvtWMTolsOjZ7piQmOOC78/3ckN1fnsq8yOed6mVZm8bXfZvIxxJWA6LgNWfBvMAcdhTYaPtEnbHx5gnc+zYkOMgqVNQFHISzAxzVNVSr0eclUVF3gpGOKcboyVrTpAt21zdMQ7fjLDbuKIwKDjciKs02JaNBoWLw+HORuOnzC8UPzXE+fHhB2i9+NDTQN87onzMY+NmDb3v9TI3//m/7f33uGVlnX+/+tpp6b3zCSZnplMZ2aAAaT3pgIqKqwI6Lq4fhVZ229xi+X7FdRVF0R2sbKCKOhSLPRepwLTMyWZ9N5z2lN/f5xJJienJJlJz/26Lq6Lecp57vPkOc/nvj/l/dnP/3v+IO/Wd0/iSCeH6TX1miE09Yao6w4l3FffE6YrZPDDD63igbdqeL+xB8NyWFmYzh2XV+Ayk7vsBWNDkqKVBwn3ATluF2f6fVTrsaVw6aIUTjCDWeV1YwTDdA1ZZecqCquPhaKiPd9DtCdZhXdaNq0J9ChyFBUFPaFXIG4hA1RFdOa51Gnxe6rvDvFufU/CfTvrewgbFh4tOs7OoM4dj++NmQg8s6+Vz5yxgE+dVjop450MhHE/AXJ9bnJ9WkxyxQA5Xo0Mj4ZHU/jiuYtj9uVne9l5sJUHt9VxsLUfTZHZVJrFrZvLGFhgqkMUpcKGhe2AzzX1P57piCpJZKsKLQlW79mKTKZLxVDkY7F7gWB24FcUzkzz0WSY4NFQwgYFQ8Rl2kyT1iQerQECCeL2mapCgabQNMqmMBbQqJss9079+6k7ZCTs7wEQ1C3Cpj1o3H/xdm2MYQcImTa/21nP1asLyR4HF/50QBj3EyDdo3L6wmz+tq81bt/mRTlJjXFjd4ivPLmXqo7g4LZdjb08ubsJSYpmia+Zl8EHVxfxxO5mdjX0YNkOFUXpfPq0UjaUZk3UV5qxVHjdBAMh+oaUHfplaU5n9wpmP5IkMc+lkZ+bHhcD7jDiJWWHogA5SSpF1vu8uEMR2kwTw3FIk2UMB/qSJPFNl7zU5QVpLMz2crQr3qO6OM9P5pDObnubehN+RkfA4K/7WrlxloROhXE/Qb5x0TJ00+admi76IxYZboUzFuXwlfOXJD3n569XxRj2AYZ6AF482M7rRzrQh0ixvX20i+rOID+9bs2MVbUbDabj0KQbyJJEsaaOSiAiTVH4QLqfoxGDoG3hkWUWul3j3qFOIJgpqCOU2eZrStJWsD2WhQwUKArFLo0cTeVAKEJfJL6sVCWqTz8d0BSZa9YV87M3qomYx9+d6W6Vj60vjp3op3g3zOAK5Timx19mBuLVFL539Urqu4JUtvZTUZTBvExPynMOtowuy1JPoLHa3Bvhsfca+coFS09ovNOdqrBOdUQndCzR55AsU+5xMW8USnKKJLFkBpTpCASTwQKXRk0kcf+HHEXmlAQlrI7jsDcUiamhrzVMFrpdlHtcdJkWHdZxd70ELHC7plV3uE9uLCHP5+LpA610BHSKM9x8aE0xZy7KiTluTXF6QtnYPL/GFRUFkzXcCUcY95OkJNtHSfboVtN+98nd7qbexPrGM512w+RgOMLQVMN+22ZvKEyWIo+LMI5AMFdwyTIrvW4OhCMEj4WrFKBUU1nl8yQMVzUbJkf12Bwii2jSXL4qc1qal9qIQbdlIUtQrKnTsoHTJRUFXDKCgf7sGQvY39LHrsbjBt7vUvjUqaVkHYu3H2ztZ09TH2vmpbP0WL+QmRbmE8Z9ErlwRSEv7GtJ2RglFeNRqzkdqdcNEtUQRByo0U0qpkHCjkAwk5jn0kiTJQ6FdRQJlrpdpKVQZGxJ0svBARoNkzxNY9Es8Y5lejV+9tF1/PH9Rg619uPTFK5YVcjq4gz6wgb//sxBttV0ETqWoCcRdddn+TRuv2gZly2dGdLhwrhPIh/bVML7Rzv4y55meiNRF5dEfFKKLMV3Rsv0qHxoTdGkjHOySd1lTmhbCwRjwXEcdgXDNBvHdecDdoQ1PulY06d4Uv3KZmMbBrcqc8PG+MS5u188zGtHOmK2OUS7UXYEDP71qX0ELljKdevnTdJITxxh3CcRSZL48nlL+Mi6Yl461I5HVXBrMn/Y2cDh9iASUF6QxvnLcnmzqpN9zX1YDpTn+7lxUwmri6dvk4KTIdpJLnH5TbosVu0CwVg4GNapG7YS77JsdgfDnJnmS+hezlYUGpOs3pNl1s82esMGW2u6Ux7jOPDQ9jquXVc87d30c+OvNs0ozfZx02llg/++alURO2u7UWSJU0ozkSWJW04v42BrAN2yWFmUMaMbzYzEIrdGi2nF1d5mKTJl49BlTiCYS7QmMdJdlk2bYVHgin/tL3BrtJgm7cPq4wtUhZIEx89GukMm3aFUPfaitPTp9Ecs0j3T+75M79HNEVRZ4rSF2THbJElieWHaFI1ocvEqChv9Hg6HdbotCwmJHFVmhdudsAvciaDbNkciOr2WjYJEoaZS4lKn/exbMHcxHYcuw8KrSKSNIanUSFF9HnAsEr32ZUniVL+XqohO1zEDn6sqLHLPHanmDLfC/CwP9d2pE5e9moJXm/7K7cK4C6YFGYrCBv/EdJkLWzbbAkF6hiQyNJsmPZbGal/q8kWBYLJxHIcDYZ2GYw1fFKKGdo3XjTeFke+3LGoiBnaSILkGFKRwsSuSxDLP3FNz7Azo/PDlw+ys6xnVyv388rwYJdHpijDuglnP4YgeY9gHqNcNylzatKrVFQiqIgZHhojGWECrafF+MMLm9MRltw26wd5gmHipmeMUaWrCbnBzGcdxuPOv+9leF6tLLwEuRUK3nEE/iARsXpzDV2eI1ogw7oJZT4+VOFnPBJoMUxh3wbSiyUi8euywLDpMk9xhq2/bcTgU1hMadgVIk2UKNJXyWVLKNp68Wd2ZsOGMA5y2IJv/e1UFD2+voztocs3aIjavLJ4xLV+FcRdMG2zHocmIaloXqyo6DtURnaDt4JYkSlwq+ScgnJEqF1GZG+FEwQxCT+JWd4Bey4oz7i2GSX8S7Xe3LHF2hn+8hzhrONQWIIEgKACt/RG8msJnzlg4qWMaL4RxF0wLWg2D/SF9sEHFAaK9oofm/TYYJm4pTJGmsdzjwiWPLu6Vq6h0mPHrGrcEpdNQZUswt/HKMkE73tukEn2Wh5OqDN0h6nqeK0lxY2VRrg+ZxHX+ef6Z7emY/lkBglmP6TjsCUViOk+ZkEK1zmBbIJw0cWg4Sz0uCoe53jVgmduNewYkxgjmFqWaRqJAUb6mJAwhFWoq/iTuqWxFEYY9BecuyWXt/Hj9EI8qc3lF4RSMaPwQK3fBlFMTMQY1sEdLl2VFE+LcI8+uZUlik99Ls2HSaVookkSpSyQXCaYnJW4NG4da3SBg2WiyRL6qstKbOJNdkSSWuF3sC8X2Z0iTZZZ5XNiOw8GwTrtpYjmQocgsdrvIFLkmSJLEd69YwQ9eOsyOuh76dYsleT6uWVPMpSNo1NuOwzP7W9la04XjwKllWVyxqnBU3SwnA2HcBVOOniReOBK9SRLlEiFJEsUujeJRdJkTCKaaMreLUpeGRdS9KksS7YZJk2ECDnmqStGQdqtlbhcZikKtrmPY4FNkFrs03IrMjkCQJuP4b6XPtumyLDb5vUnlaOcShRkefvjh1XQEdPrCBiXZvhHb5tqOw7/+7QDPHmgb3Pa3/a28fbSL71y5YloYeGHcBVNOlqqAPnJ96XBU6cRd6iIOKZjuSJI0+ILeFwxTrR+Xp6nRTeZrKhc76YPHZ6kKPtlNZVin1TBpNgw8kkSHFT95DtrRZNV1Cdq/zlVy/S5yRxlnf+5AK88NMeyD2yvb+MDiHC5fOfUufWHcBVNOkaaSryq0maNfibslWDhGWUzLcdgfitBuWpiOQ5ois8itUSiS6gTTmPZj7ViHB64aDJODvUEGupU7jsOOQDim73ogRbpdo27ikiKUe1zjpgQ5V9ha0530zm6p6ZoWxl1kEwmmHEmS2Oj3stClkczMDn31+GWJVV4PnjG6FN8NhjiqG/TbNmHHod20eC8Qpi1JXbFAMB1oNsykXdsag5HB/6/TzRjDPhIWcCSisyMQwpmNrd8mkFRzoeniERTGXTAtUCWJFV43apIfhgdY5XGzzuvmnHQ/88YYO+80TVqN+BefAbwbCHM4HBEvOMG0xEmx+h76yI4lB2UobaaVtNmMIDGbF2YnNJ4SsHlBdoI9k48w7oJpQ9CyCSUxsBGgyKVS6o51IRqOgzkKo9xpWklXPzpwIKzzbjB1wwiBYCrIT6EHX+g9HiPWUqwYUwWwHKK/D8Houag8nytWFsQYUBm4fGUBl6zIn6phxSBi7oJpg1eRcUvRWvbhuGUJ15CXV6dhciii021aSEC2qrDc606a/ZtM9WsoTYZJu2GSp4mfhWD6UKipzNdUGoatrvNVhRVZfjrb+wFY4NKo1fW4348MrPG5ORw2YrQkhqLN4pbSE4EkSfzrZcv5wJJc3qruAuCMhVlcWJ4/bdzy4i02g+gI6PxuRwN1XUHSPSpXrCxkY2nWVA9r3NAkiQJVpS6Bi7BQVQdX7EHL4t1gOGaV32JaBAJhzkr3xa1g9ociVEdGjqs7QJsw7oJphiRJrPd5yNVN2k0T24EcVWGhW4vxYnkUmVVeD5VhncAxI+6RYIHLxXyXC9OB3aFI3Od7JYkFo9CLmOvYjsO9Lx7i6V2NdIUMSrK8fGh1If9yaflUDy0h4i02Q6jpDPLVp/ZR3REc3PZCZTuf/8ACrt9QMoUjG19W+zw4wTCtholONCu+UNViBDyqI0ZC932/bXM0ose0rew1LWoiekqJzqGIrGHBZGI5DofDOl1W1AOVoyosdsdnr0uSRJlbo8wdm2viOA6dpollQ66mMM+lUaipNOoGFjBPUwdlmstcGgHLpk43GJjq+mSJlR53Spf+TCBi2vzv+40c6QiS5lK4dm0xZTmJO+idKD9++Qi/f7dx8N9NvRH2NvViOXDFNMiOH44w7jOEX7xdG2PYAYKGxa+31HH16iJ8YywLm64oksR6vxfddgjYFmmyEucyDKVQswsOczs2GmZCGdtEuKWoa1MgmAwsx2Frfygmw73NtOg0LU71e0cUQmk3TLbUtdN2zCvll2UWuTQWelyUJliJS5LESp+HhW6NJsNElSRKXNqMn9B2BnT+6Ym97Gk+3q3tr/ta+NK5i7lqVdG4XKMrqPP8wfi69qBh88Tupmlp3EVC3QxhX0tvwu0dQYNrf7mVypaZ0YZwtLhkiWxVTRgLdKd4at3DhG1G+9pyS7DcI7TmBZNHTcRIWLrWZlrU66mnpIbjsCsUHjTsAAHb5kA4MmJpp09RWOJxsyCBh2Amcv+bR2MMO0B3yORX79QRTlAhcyLsqOumI5D4vtZ1hTDHKJ89GYg32TTEtKOaxQ9urWXfsYc21Sy+I2jy7WcPTssHbCIoc7lIFCH0ShILh62857vUpO6pUk1lmdvFCo+Lc9L8o9KpFwjGi+4UpWtdZmrjfvRYK+ThmDDixGC2sbsx8cKnrjvE85Xxq+0ToSzbi1tN/A7O8GjTsnX07PDlziL2NvXyvRcOUdkaAMCr1fKBxTmsLsrgaGco6XkH2wI8d6B1WrqHxptMVWG1z8PhsE7vMTd8tiJT7nHhGbbyTlOiMcwjEZ2hr9L8Y58xXisXx4lWI08HTWnBzCDVymqkx0hPMZGPzDG9hlTdIY0E0rsnQnlBOuvnZ7Klpjtu3xkLs6dNhvxQhHGfRtiOw/dfOjJo2AFChs3zle18dH0xXk0mZCR/WJt7506d9jyXRrGm0mNZyEikK3LSH1ieqtJiGPQceyH65OgKfzwMu+M4HArrNBsmEcfGK8vM0zQWe4QXQJCaomPlbcNNkwTMG0ESOS1F+MgnSziOQ5NhErBs0hWZQk2dlgZoPFhZlE51goVPUbp7xM5uY+HOS8q566UjbD/aiW45pLsVzl6SyxfOXjRu1xhPhHGfJLbXdvP8y0do6gwyL8PNx06Zz+I8f8wxb1R1sL85cex8d2MfFyzN46/7W5NeY0Vh2riOebojSRJZKQQ+ACKWzXuhUIwLM2hH45VnKDJpJ9kVa38oQtWQpjcRy6bHiuDgsMSTuEWnQABQ5NLwh3X6hyWBOkDAsslLYd9LXRp1ukH3sJWpR5IoUlXe6g/SNWRfjqKw0eeZlTklt25ewIHWfo60H0849mkKN2yaj38cE42LMzz87rObef7deo50BDi1LIuy7PHNyB9PhHGfBB7f1cQ9r1bRrx93DL9R1cm3rlgRU6fe0pe8ZKs/YvKp00t5s7qD7nDiWN2epj7OXJQ7jiOf+RyKRBLGJiMOHI0YrPaduHE3j62OhuMADbrJYrdr1q6WBCdP2LKStjs+FNEpc2tJnx9Zktjo81Dl2DQHItg4ZCgKS9wuqiJ6jGEH6LQs9obDbPBPX2N0opRme7n/o2t5ZEcDNV0h0t0Kl0+gBsj6kkzWl2SOeJzjOERMG7ea3Ks4kQjjPsGYls0jOxtiDDtAS7/O/2yti3kAz1mSywNvHaU7FG8wFuf5WJzr5/zyfB7f1ZzwWruSJJbMRUKWzQuNHdSlSC4Kn2QCYp9lJZXLDdg2uuPgFsZdkIROy0ZPsi/sOFSGIqzweZKe71UUzsvPoqW1F4doGWnYtulIIiXbcawbYrL+DTOZbJ+Lz08T97hlO/zXm0d5/UgHnUGD4gw3l1UU8ImNk6tHIoz7BPNeQ09cffoA+1v6CRsWHi26emztC5Pnc8UZ90y3gozEv/3tAE0p4upzLI8mKY7j8F4wPGKHLM9JSm56JQkNSFQg45KlGS8MIphY0mQZBUj2lDYYBsscd1xuSKdhUmcYGDbkYVNkM5hIqttO0s8zHWatcZ9O/OiVIzw6ROymK2RwqK0fB/jkJBp4YdwnGK+mIEuQaJGoKRLKMQPz8PY6HnirluCQukyPKrMwx0t9d5hXjnQMbpcgoft+dXHGOI9+ZtJhWnSOYNjdEix0jyxY4zjRl6VCfCtHj6KQpyk0Jail1RzoME3y1PhEJttxaDZMLByKNU28bOcoGapClqIknYSGnGgzJUWCWt3EcGwM26HFtAYNeHO3SbUss9HvIUNRSFNk0mU5oYZ8uiILT9IE0xsyeDmB2I1hw9P7W/n4hvmTVlEjjPsEs7IonVVF6exuik+UWzc/E02R6Qzq/HZbfYxhBwibNo29kTiXfiLD7tcUrlw1fpmhM5k+20opN5ujyCz1uFIm09mOw/5QhFbTRLcd/IpMqaaxYFgW/BqvB4cw7YYVo4TX6zhsDYQpUlVO8XsGf9BNukHlkCSqg7LOIpdLZNfPUdb63LzSF0z4vGpEu7VVRiLoKR7ogG1zKKyz8ZiqXZlLY384EtMFUSWqvihyQCaWyrZ+2pKI3TT2hAnqFmnuyTG7sy91cpohSRJfOHsRpVmxsbOVhWn8n3OiMaK/7GmhI5j4gegNj06QImBY/PztmpMb7CwhW1GTPtjZiswZaT4KkpQaOY7D0YjOS739VOsGAdvBALotmz3hCFXh2MYbLllmk9/HaT5P3EzZAZpMk6pINLIatiz2hsIx2dEh26FyFKpigtmJX1EoSdKoKFdVOKLrKQ37AEMFcRZ5XKzzeihQFTJlmcJjE8xEkrSC8aU0y0u6O/GiIdurDYZgJwOxcp8ENpRm8T83buDpQx3UtPaxMMfLh9YUo41zWcr7Db3YjjPnhVSyVIV8VaFlWGKRQrRDVrLVi+M47AiEaE6SkOQA+8I6raZFudtNzpAfaqdtJ9WwbzMtlgJHdZNwghe1RTS7Pn+E2mbB7GS1z4MZDNFqRN3tKpCnKeTIStJncTjDn+j5bo35owg7CcaXogwPp5Zl8dKhjrh9H1icgzqJrXWFcZ8k0twqnz9/KW1t8e75yyoKeGh7PV2h+NVbululLzK61btpO9gOzMXWzK2GQaNuYjgOaYrCKo+bDMmhvj+M7jikyTJlLo2SFC+8Bt0c1cu03bToMYMUqQrZmkqJS8NKsbpyjmU6Gk5yASJDZEPOWRRJYqPfR8Cy6LJsMhWZdEWhOhLfnjUZOSep1yAYP755STkOB9la001At8jxapyzNJcvnLN4UschjPs0oCDdzSc3zudXW2pjFOjWFKdzRUUB//12TUwGvSpLCXXkVxSkTerMcLpwJBzhYPi4vGyLadFimFxSmsdSWcFyHDRJShlvtByHGj1ZYVI8BlBnWtH/dINlblfSzOeMYy/edEWBJOt7nywiZHMB61guR7tpYTkO6YrMIrdGvqbhVxT8Q4z0PFXjsKQTGWHel6nILBc5G3E4jsPrRzo40NpPcYaHyysKUCdBxCfdo/H9D66ivitIdWeQlUXp5PonX9BKGPdpwqdPL2N1cQbPHmglaFgsz0/jY6fMw6MprC/J5PFdzfRFTEqyPHg1mV+8XReTgFec4eam00qn8BtMDbptUz1MNx6ivd13dfaxQlFHlJltMwz2huKVwkZLl2XTYJjM1zRqh8XO02WZJce8BWUujfoEqmJ+WWKxcKHOCXYGQjHhopBp0W1abPJL5AyLvSuyRKas0Dosm94nS+TKMpIsUZjhI8+wZ0V3t/GkN2zw//15P9vrugcrlf7wbgP/etlyyvMnR8mzJNtHyRQq2EmOMzv8gYnc3dON/Pz0cRvnO0e7+Nu+FrpDBvMzPVx/yjwW5vpHPnGWcTSisyeU2H2Z6VI52+dNeb7lOLzeFzxhwz6AV5I4P91HrWHSeqzMLUOONq3xDlktRKxoW85OK5rRn6koLHO7yFBnh1t1PJ/x2Ua7YbIlEEqYGT9PU9ngjz6rjuOwJximwTAH/TwSUWnZYk1lids1KCMr7ncsuxt72N3UxxtVHWyr7Ynbv7Ekk/+6ft0Jf/50u9/5+elJ94mV+wxl88JsNi/MnuphTDmp1iujccA16MZJG3YAGwckiYVuFwtTZCW7FZl1/tQTDsHspMtMXqIZOObNCVkW24MheoYlcThAyHHwKfKs1Ic/WcKGxTf/up93arqImMnXq7uaejnY2k95wdhW747j8PbRTt59uxYjYnDxinxWFU1vXRFh3AUzmhKXxpEkva0LUsQhayM69YZBrzk6wz4wiUj22shUlDlfpSCIJWhZ1OomluOQrSq4Ujwf2rFcmb3hSJxhH0qLYaacPM5V/uPlI7x6pHPE4wzLoSM4+twaiGpefOuZSp470MrA6+J/32/iE5tKuO2shScw2slBTAEFMxpFkljmdjH8dZetyGzITeyyqg7r7A5F6DSTl68NZ5FL5fx0/2Di3FA8ksRi8cIVDKEmrPNGX5DDEZ1q3WBnMEyLaZKWxL4Xayqm49A5QrWGNTuiqOOKadlsq+0e1bElWR5OmT9y05ehPLW7mb/tO27YAUKmzSPb69nTNH37eYiVu2DGU+p2kaMq1EQMzGPdscpcGh5VYXh0zHEc6nQjpYLdUFxAoaaywhtVmVvudZOlyjToJrrjHOsNP3ti5oKTJ2LZHIxE4prCtJoWpZqKatuDSZVuKep9ylFk9gXDIwrWpIuStzgilk3/KMqF3YrEh9cUjVlI5p2aroTbQ6bNcwfapq3stzDuglmBX1FYOYr2rRHHSRlj9wI5mkqBqoAkkavIeIa9UAs1jUIhOCNIQp1hJC1fC9g2Z6X5aDMswo5NoarSbVtsCYQSChwNxS/NnaoKx3F4u7qLuu4QmxdmsyAneda5T1NYkONL2BXTo8oszvWR63dx8YoCLq8Yu0S3lSJMYp1kZ8mJRBh3wZxClaLd2iIJ3Jsa8IEMP+5pVHPeYZhURQx6bQsFiTxVocIb3ylMMH1I9b63iUpSF7iir17HcTgc1Ec07NmyzDq/J6YOfrZytCPAd58/xO7GXmwH0twK5y7N45uXlCfU8ZAkievWFXO4LRBTHqxIcOOmEj53knHxVcXpMY27hn7+dE5qFsZdMKdQJYl8VaHeiHfj5WrKtDLsXYbFzmBoyCrQoV+3Cdo2p/q9ognINKXYpVIV0RPmc2QNM85B24nTPRiKDJS7XSz1Tr4IylTgOA7/7/lDvN9wfBXeH7H4694W8vwuvpCkZ/sVKwvxaDJP7m6mqSdMtt/FRcvy+Ogp8096TJ/YWMKWmi6218WW1l28PJ8PLM456c+fKIRxF8w5Vvs8GIFQVCWM6As0V1VY6/WMdOqk0G9ZVEcMmgwjYQy2zbRoM82kzW8EE4PtONTrJj2WiYJEqVtLGANPVxRKXRrVeqygUZrEoKDRACNNz2yiIklzhZ11PexOkqT2dnVnUuMOcMGyfC5Ylj/uY3KrMj++ZjWP7GzgUEcQy7Q4dUE2164tntYTbGHcBXMOVZI4Nc1Ht2nRZZlkKQrZ6tT+FAb6xveZFu8GwwRTZEU7QJdpUyBse1KClkWjYaJIEqUuDTXBSzhgWeiOM6oyRtNx2NYfium9XqcbrPC449oAA6z0ujEch+YhQjSqJBOywTtkPuBTZLIVmc4UBrzHsnAcZ1obkvGitjtEsurU0fbYmAg8msLNp5dNOxGbVIzrG82yLB544AEef/xxGhsbyc3N5YorruBLX/oSHk/yVVFNTQ2XXHJJwn3p6els3759PIcpEADR7nFZ0yDLvS6iUx2O0Ockr6MfjmcO9hAYLQdCEWoj+mC2elVYp9zjGmx52m9Z7AlGVQJtIE2WWeDSWJRCF+FgKBJj2CHaX+BQRGeeW0MbZnjbTTPGsAN02za7QmE+oPpiJhvlHjc7A6G47PoB5tKf+sxFOWR51ZheGgOUZQvxp7Ewrsb9u9/9Lo8++ihf+MIXOPXUU9m3bx8/+clPOHr0KPfff3/S8/r6ojOhb3zjG2zatCl2gFO8ohIIJpJG3WB3KMJYHK9pskyJSyzbE9EYMTgS0WMmSSHHYX84Qq6q4JFl3g2G6RmyUu63bfaHI3hkieIk97XTSlx/HnYc6iIGi4dNDOp0M2HMvd+2qYnoLPEcj6HnaSpnp/l4uT+Y8DnIVuQ5sWoHKEx3c2F5Pn96vylme7pb5bp1xVM0qpnJuFnOuro6HnnkEW655RZuu+02ADZt2oSqqnzrW99i+/btcYZ7gAHjvmLFCtasWTNeQxIIxky/FY1np8kKeaoy4S/VWt0Yk2HPlGVWimz5pDQZZkLvh+5ArW7il+UYwz6ADdTrZlLjnko7xk5wRT3FCeEE6fQ1up70OciQp967NJl87cKl5Ke5eP1IBz1hk7IsL9etL+acJXlTPbQZxbgZ9xdffBHHcbj66qtjtl955ZV8+9vf5oUXXkhq3Pv7+wHw++de4xPB9MB2HN4PhmkZ4krNUWTW+jykTWD5UWgMuvYKsNyjkasJb1YyEpv2Y/sch2CK+x12ku/LUmV69Pj9LmB+gr+HN4Uv3T9MG77dMDiiJ48n94xD74OZhCxJ3Lp5AbduXjDVQ5nRjNtborKyEkmSWLJkScz2zMxMCgoK2L9/f9Jze3uj2ZFpaZPTim+60B8xeHh7A4faA3hVmXOW5nLx8rGLLAhOngOhCA3DyuM6LZvdwQhnpE9c20aXJBEYZaTdAqp0kwKXkLpNRpos0xbXADhKtqKQyuHhlZKXQS51u+gyLXqHrLolYIHbhTfB5G+hy0WrYcaJ2WQqMmXDvAO1eqopSWqvgUCQjHEz7h0dHaSlpeFK8OLJzs6mszO5qP+AW/6xxx7j9ddfp66ujrS0NC655BJuv/12MjPHpgU8E+gK6tz++B72NfcPbnvhYBt7m/u5/dzFUziyuUlbEk3vTsuiyzQnLJu+WNPoshK3rE1Er2lhOY5wyydhsdtFm2nFqRDmqQrzjgnH5ChKXAxdBcrcyf/GXkVhnqqiHytPVInWsy9PUn+eqSqs83moihj0mBayBDmqQoXHHZeZHx5hZZ47RrlUgQBGYdwNw6C2tjblMenp6UQikYSGHUDTNHp64nvrDjDglt+3bx+33347WVlZ7Nixg/vvv5+tW7fy+OOPJ/3sAbKzfajTIPN5JAb67/7XX/bFGHYA04an9jRz8zmLWVqQvE+vYPSk6nc8gOM4WH2BxPsA2e8iP2NiQkZ5joPS0ceBnn6MUXhfJVki4lMp9XunbRe60dzziSRb97Orq5+2UARFkijwutiYlzmobnZxjp+tbT20hHQM2yHbrVGR5Wdxemw2tu04dEUMNFniaH+YA0Pq1nWgRjfJ8jtsyEusLZ4PrAJ0y0aWQE0ikJRpGnT2hxPuy9IUNs7PSfm3nur7PdeYKfd7ROPe0tLCFVdckfKYa665Bo/Hg2EYCffrup6yFO7mm2/m+uuvJy8vbzCBadOmTeTm5nLnnXfy2GOPccMNN6QcQ1dXcIRvMvUMrZHcWR0vZwjQFzZ59O0aPnvm+MebArpJT8ikIM2FOgd6Qo+lJtUrSSR6glyAO2jSFhlbbavtOBwK63SYJpYDmarMErcroXzoAiSK0/zsDITotOyUCXYR2+Glpm4y5F7KPS6KplnW/HSoA7YdBzNsYFgOAdvCtGyUiBVTj75K1ViRpmI5DpokIYVN2sLHx10X0amOGPTaNjLJSxR3d/Uzz3JQTkLZMN+BOojLrvdIEpu9Hjra+xOdFj13GtzvsdAbMvjjrkZ6Qibl+WlcVlGAMoNq/abb/U410RjRuJeUlFBZWTniRe688076+vrQdT1uld3R0cGKFSuSnuv3+xMm01188cXceeed7N69e8TrzzTkFA/0eNvdkGHx/RcOsaWmi66QQWG6m3OW5PLl85bMmRKbkVjg0ugxrbgXbLFLwzPGP4jjOOwMhGge4urv0W06TZvT/Z64GK3jOGwLhMakRNZr2+wJhclU5IQx37nM7mCYuiH5E7pl02tFQIrGyAdQJClheKPdMNgbigw+C6n+KjZQrZssTVEjPxIFmsZKr8PRY5MJhagLf5XXnXS1PxN5u7qTu144RGPv8TDUk3ua+MEHV5HpHdsk9YXKNl4+1E7IsFic5+fGTfPJ8opclKGMWyCxoqICx3E4dOgQq1atGtze3t5Oe3t7zLZEJJoUhMNRV9VILvmZyCnzM9lRFx+qyPFqXL26aFSfUdUR5Jl9LdgOXFCex8qixLO4bz1dyYuH2gf/3dAT4ZGdjbx6pIN/v3QFp5TOvpyGsTLv2Aq4VjcI2jYuSaJQVU/opd1qmLQkiOH32zZHIgarh3Wve3eMhn2AsBN1Da/wCuM+QMiyaEnQN8AGKkMRqiI6ClI0/p2kpDBZjXoyIsfi972mRatpokkSJS5tTHkRZW4XpS6NgGWjyhKeWWTUIdo97aevV8cYdoB363v56etV3HnJ8lF/1k9fr+Z32+sGw1ivV3XyztFOfvThVRSkTw8J6enAuD1BF198Maqq8uSTT8ZsH/j35ZdfnvTc2267jfPOO49AIDbu+dxzzwFw2mmnjdcwpw03n17GWYuyY7Sl090Knz69lPy0kZtE/PztGm595F1+vbWOB7fV8Q9/eJ//ePkIzrDU2qMdwaT9iBt7Inz7uUp6Q4nDKXONeS6NzWk+LshI4wPpfpZ53Sfk2egwraRu3H471uh3m1bMCj8RqX6keoryrblIp2UnVXrTgYDt0GvbHNUNtgdCcb8XIGHHwFT4FZldgTBv9Qc5ENbZHYrwWl+QliRhymRIkkTaMaGd2cYbVR0cbEuc1/JufWIt+UQ0dod4/P3GuPyUytYAv95SdzJDnHWM28q9sLCQW265hV/+8pdkZ2dz2mmnsXfvXu655x6uvfZaKioqBo+9+OKLycvL45FHHgHgpptu4jOf+Qy33nort9xyC5mZmWzbto0HHniAU045hcsuu2y8hjltcKkyP7pmNc/ub2VXYy8eTeGqlQUsyR+5HHBXQw+/3VpHaIgIc8i0eezdBtbPy+DC5cebJ+xp6iWgJzce9d1hHn2vkc+cIWpKx4tEOuYDKMNahbQaZkq3r0eSKFBkapNMANLmmMDJSKTLMgokKYaLpc2MrvKH5y2kqlEfThpgOlA7zJAHbJu9oQh5qioqG4D+FLrw+hi8Vs9VttEbSfzX3d+SPDdhLjKu9T133HEHmZmZPProo9x3330UFBRw6623DirWDWBZFtaQUpTNmzfz4IMPcv/99/Ptb3+b7u5uioqKuOmmm7jttttmrQStLElcvrKQy1cWjum85yrbYgz7AJYDrx3piDHuK4sz8GlKTJ/j4XQEkq11BCdCmUujRtfjapwBCoYJnqSaCADM01QWuTU6AiECw5TNMhSZBe6JTahzHIc+y8bEIWsUDVammgxVIVdVaB3BGzJAl2nFGfcyl4tW3WR4gaJE1ItiHfv/vGNx8d2hxKWMQduhNqKzyDM32rWm4vxl+fz3WzU09cbfq4rC0eubpEoETtTrfS4zrlZTkiQ+85nP8JnPfCblcS+99FLcto0bN/KLX/xiPIcza9GTtU0CIsP2Lc71cfrCLF4+lDg7H2BepohTjSceRWaFx83BsE7omItXBUpcWpyASalbozpy/LihZMgSFcdCAxt8Xg6FdbqtaM10tqKwwuOa0FVhp2FxIBymy4oKrKbLMovcGmXu6ZsD02Na2LaDxPEM96H/PxxXAoOQrSqs9XuoCut0WsfFZR2ihj1Nktjg95BxbNFhJpCTHaBON4RxB3wuhY+sn8fP36ohPOQdNS/Tw6dOLR3151y9qoDf7ainrT9+QbK6eG6JoI3E7FwSz3LWl2Ty+O7mhPtWFscn1f3bpcsxzQO8Ud0Z95JbmufjI+vnTcAo5zal7miZWl3EwHQcil1qwt7fmhQ14PtDkTgDH7Ad3guGWefzkKkqbPR76DRMdBzyVXVCM6lNx2FXKBwjBtNn2+wLRfDKEvlDeskPtFeVkcicwt7jEctmZzDew6EQX2YGUfd7solKoaYhA1sC8fXn/Y5Dg2ENGvf0JNK0EP0bBiwrYQnkXONTp5ZSlu3luQNt9IYNSrO8XH/KPBbmjl5DItPr4jObF3D/m9VxneNePtTB/CwvH10/f7yHPiMRxn0GcumKAl6obOP1qljVv1NKMvhYAkPtd6v86NrVvHKond9uq6OqI4CmKKydl8E/nr0Qr1DAmhA0SYrrFpaIeS6NXFXhtb5AjCvfAhoME29YJ19V2DGkLahMhCJNYYN/YqRxayJGnMobRI1kvW4OGvcDoQg1EZ2BiHNNbStLtPFb3TuOE10xOw7tpoVXlshUEjf0OaobcYZ9YMzZskzAsdGP7U6TZSq8rrhWrUNpSxHK6hkSVlzsdtGQRELWAlpNk0XCuANw3tI8zlt6cg1grl1XzPwMN//01L4YT2Vjb4SfvX6U5flprJ0vKoCEcZ+BKLLE3R9cyUPb63m3vgfbcVhVlM6nTy/Dk8JQn7csj/OW5dEbNlBkCb9L/PmnC+2mlTBGD9BmmFRH9JgkMRtoNCw8wTArfeMfVkkliTqQTZ6ovWrAtDlgRshTFXwnYdAcx+FIRKdRN+m3o65xh6iLPUeRWeXzkDHs81M1hfEqMps8XhpNA5ckU6ypI+YPpNo/9MoZioJflhNOhgB8KTTr5zK24/D8gTa213WjKRIXLMtjU1k2juNQ3REkZNisKExLKHLzdk1XXAgSoF+3+PPeFmHcEcZ9xqIpMjefXsbNp4/93AzP9FI1E0AkhWEK2HbS7O963ZgQ454qY3xgX5OZpL0q0WYoJ1N/fyisczASH1d1gA7L5v1gmA+k+WJW8O4UxtgtSbhkCbckE7Bt2g2TfE1NWepY6lJjvBJDyR+WGFmkqRxOMN4sRY5LohRE8xTu/Mt+Xj7UPvgMPbm7mQuW5dHSF2FPUy+GDcvyfXxyQwlXHdP+6A4a9OsmveHk2fepMvPnEuKpEwimAYWaysGwnjA2nGp9ORGvsYhlU68nrtF2S9GOZ4btpJyQGCfRysx2HBpGqBHvsWwaDZP5QxIUF7g1GgwjzgPilqBAlXmrPxgjFpSnKGzwe3AlyV3wKwrLPG4OhSODBl4i2uJ1wbDEyEJVodWQCNjO4EQs61jLYKECGc+f3mvkpSHCWgC65fDMgbaYbYfagvzolSrcqsRzle3sqOsmqFtk+5IvUEqzvEn3zSWEcRcIpgF+RWGeS6N2mFH1SJAlyzQnSVSbiB/woYge09p0KOVuF1URnTbDTCoWA9HOaydK2HYIpshAH2C4G96vKKzxeTgU0gd7oGfIMss8Lqp1I04FsN2y2BOKsMGf3Bgs9rgo0hTqdBPbccjXVPKGrMQtx+G9YIhWwxo06l4pGodf6HYJw56E7XXdoz62L2Lyg5eq6BoittUeMBJWQSzJ9fGJjSKhDoRxn3XUdYV4eHsdVR1B/G6VsxZlc926eRP6kmnujfDK4TayvS4uXJ4v6k1PkDVeNz5ZptUwMBxIV2QWulxkKRLP9gYSuubna+MfYum2kieSHdUN+kYwvEPbq54ILlnCJZE0BwGiK+jsBBOIIk2jUFUHv0OWohCybd5LUvcebeyTuoWuT1FYniTEsD8UoWlY4l3IgSbDZOE0LhmcakYxd4uhK4GKpgMUprvwqAoODqsKM7j1jDKyfeK+gzDus4qaziD/9MRearpCg9vequqkuiPEVy9cOm7XeaOqgyd3N9PcG6Y3bNIdMgdFch7cWseXz1/MqWXZ43a9uYIkSSz1uBLq2W/2e9geDA8aPBkoUlVW+sa/hjrV1CxRNvrAeDIUmZJ0L6WOdFKTSVWSKFDVmOYvw8lXlZgV9FAkSSJ7iPBVxHGS5iyYTrTs70T1AtqTTBq6LJtOyyJ3lgpwnSxr56Xz2pHk2hujJcfn4n9u3DAOI5p9iCdvFvE/W+tiDDtEs6r/tr+Fj50yjwU5J1829fS+Fr7/4mH6k0jaHmoP8IMXD/Pbv9uIWxVZwuNFtqZxcaZGr2ESsh1yXeqI6napaNYNGg0T03FIk6PtaN3H1L+yFSVhIxuV5DF+TYIz03wU5meM2BLTcRxaDZMey8avyMxLkNhW7nHRaVkxkwkZ8MgSecrYJjWZioJflhJOTNIVGdcJ3kfHcTCT5BY4QGisy9MZQn/E4L43jvJufQ+GZbO8II2bTi1leWGsxoZu2vzxvUb2tvThVmTOX5rL2cfK4D6xoYRttd1sqekePF4G0j0qPcOS5dLdCv2RxP0aCkbRh2OuIoz7LOJgW2Jt5f6IxSuH27nptLIRP8NxHLpCBi5FJs2txu179N3GpIZ9gOrOEH/e28xH1glxnPEmQ1PJOMnPOBiKcGhICVsrFm2mxSa/B7+iUO5102PZdAxxz6vAQpdGjW4kzB73SPKopGl122ZHIBzz2dWKzHqfh7RjbnbdttkeDMcZ43xFZqPfizxG8R5ZkihzaVSG9Rgdf5Voq99EXoYuw6Ja1+mzbFQpKhu8dFgMXZIk0hSZcILVu1uC/FlY2247Dl97cj/bhsTMa7vC7G/u5z+vW0NZdjR/IWxY3P74npjOl8/sb+HjG0r44rmLcakyP75mNX96v5FdDb0oisRZi3JYWZjOfW9U815DL6btsLwgjRs3zefXW+p4ryG2wYxPk7lq9diku+cSwrjPIjxq8peJbxTlOK8daeehbfVUtgVwyRLr5mfyxXMXD/5gO4MGRzoSd3YaTldAdJobiV7T4nBEp9c63sN7RZI2pONF2LI5Oqw2HaLqc4cjOut8XlRJ4vQ0L3W6QbdloRBtYZqlKoQch4YE7vLRxtj3hiIxhh2g27LZE4ywOT3qWToSMehJ4DlosWx2h8Msd3vwpNAYT8QSjxu3JEez6W0HryxR6tYoSpCz0GVY7AyGYhQDuyydgGWzfljy3UK3Ro9pxU145mvaoCdkNvHcgdaEyXD1PWEe2VHP1y9aBsBvttbFtbQ2bPjT+01cvrKAZflpaIrMxzeU8PFhXvW7P7iKkGFhWg7pnuhztTTXzw9ePsK79T0EdJOleWlct674pAVxZjPCuM8iNpVl8V5jfPvEkiwPV48ww93b1Mv/fe4QncHoayoIvHqkg5a+CL/8xHpcqoxXU/BpCqHh/RaH4VIkNooe8Snptyy2B0MxWeE9uk3AtjnV752wBMhGw0ia5d49RBREliQWuF0M7xW41udBDoZpMy0ijoNflpmvqSweRfKY5Th0JI1RW4MyrX0pEvrqdIsWPUCpS2PFGFvylrg1SkbRaKdaT6z132yY9JoWGUMm0UWahuyHmohJ0LbRpOi2RRPc0Geq2N/Sn1Snv677eEhwd1PiNq5Bw+L5yjaWjdD90qspMOQWFmR4+MGHVtEdMgjoJsUZnmnfxGiqmX1TyznMrZvLuGBZLtqQv2pRupsvnL0oqXKdZTs88NZRbn98z6BhH8qB1n6e2tMERJs/jMZon7U4lw2lWSf0HeYK1RE9YblX67E2pBNFqhfiaF4G9bpB0HFQiSrFLfdoo+57bx1LXku4j+PKd3LKlL6oSM4R3YgrGxwv+pKUHZpEpWSHU6BpnJrm5dwMP2em+1nsmb0lcBme5OvB9CFhvFTf/mTuTJZXY36mVxj2USBW7rMIVZG56+qVbK3pZkddN363wrVri0lPoUj3nWcP8td9LSk/t677ePOMfzp/KR0Bg3cbegbLWTI8KululQyPymllWXzurIXj8XVmNckMCCRuQzpelLg0jkT0hMle2SnCOhAfq++3HHqCESI2FLtU3CPEwjUpmsCWKFnPf0wzHqBAU2hOYESH02yYLJiAcjM1hd1wz3Ep2Y+sK+bJ3c1xrVtdisRFQ1pNr5ufEZMsN4DfpXBZhYiTTwbCuM8yJEni9IXZnL5w5FK0g639vDxMJSoRhenHM1Jz/C7u/9haXjvSweH2AGXZXi4szxcz6TGSqmGJNoE6AaokUe52sT8UiXHP5yrReH8yTMehTjfiXLImsCccYX84QraqcHqaO+nKTJIkFrpc9IXCMVn3MlDm0gZzDUpdGj2WTZ1ukCoAFErhvj8Z8lWVLis+eJEuy8yf4/0YMr0uvnrBEu57/ShHOoIAFKS5uGZtMReWHzfunzq1jN2Nfbx9tGtwm1uV+MSG+SzKHZ9mR+/V97Clpgu/W+XDa4riEoDnOuJuzGHeOdo1WJ+ejCV5Pq5dWxyzTZIkzl2ax7kimeWEKdJUWhLEn73HYt3jieU42ByfUJS6XeSqCjW6ienYZCoqJa7UjVS6DCthHHrwGkRrvl9r7mKz15M0mWy+W0OVoS5iErJtXLLEfC02Fi5JEmt8HiQHjqaQoQ050G6YSevdT5RlHhdB26bZMAcnIemyzCqvW0xigbOX5HHGwhxePNROf8Tk4vJ8Mryxnia3KvOja1bzlz3N7GrsxaXKXLw8n43jEK4zbYd/e/oArxxqR7eiz+Sj7zZw+7mLuWDIBGOuI4z7HCbXn9z1KwGnlmXxf85JHq8XnDilbhf9tkNdRB9cQafJMitGaEM6FkKWxb5whE7TwnYgQ1VY7NYo1DR8ikLFGBq7eGQJGVKupAH6TItq3UjpBSjUomMYCWWE22ABVRF93I27JEms93vpNS1aTRO3FF2xC8N+HFWRuXRFQepjZIkPry3mw8MWByfLg1treW6YBn1Tb4R7X6vmjEU5ooX1MYRxn8NcuqKAh7c3cKg9vrztho3z+dJ5SxKep5s2bYEI2V4XPpf4IZ0oFV43i1wqjYaJJknMd2njZkBsx2FHMEz3kPh2h2nRZ1mc6pdHjK8DdJsWrcfGVurWyFEU2kfhCg+laCgzFjJVBUZImuu1bBzHmZAEtgxVicmMF0wPthztTri9vifMn/c087FThLY8COM+p1EVma9duJQfvHSYg21RA5/mVrioPI//c+7iuOMdx+G/3qzhhco2GnpC5KW5OGNhDl+9YCkuoUZ3QngUhcUTIHZSrxsxhn0A3YFaXSdbTd4sxXEc3guGaTbMQdnWal1nsUvDwkmYEDcUzzjlDBRrKnmqklTiFUC0MZh7JBINGkC0ez2OMO5znPUlmTx44wZeqGyjPaBz9uKcpDK1v3inll9vqR1Mqmrp03lidzOGZfPvl6+YvEELRqQ/hQEe3k1tOIcjepxQTdB2qNINzknz0W5adJkmtboZJ96iAqZto9t20laqo0WSJDb6POwPRag3zIQhgVxFmbVlZ4LELM3zs78lXo3T71I4Z0nuFIxoeiKMuwBVlrisInX8zHYcXjrYllDA4s3qTtoDEfL8Qud5uuBJYVhHKudqT1JnH7Qd6o91OytyaeRqBofDOl2WPfhcmECNYVFnBFjk0qjweU7wG0TRZJm1fi/zDZNdoVhJ2hxFoSJFbF8wfvRHTFRZmpD8G8dxePZAK29Vd2I7sH5+JuvnZ/Db7fVUtvajyTLr52fw+bMX4dUUPnVqCe839FI7RDRHAi5ens/SEcRx5hLCuAtGRVC3aO1PrG3WHTI50hYUxn0ascAd7Q3fP2yVrgIlI5RzmSn6nehDjGuBppGvqmzrD9I6zFNgExWayVEVCsehZj9XUzlH9VMTMYjYNhlKtK2sWLVPLG9Vd/LQMSPrUqKS1F86dzHFGSc3aRvAcRy+8+xB/rK3ZXCC+OyBNryqTGiIYuKB1n6qOoLc+5E1LMz186NrVvHw9nqOdATwuVTOWJjNJzaIWPtQhHEXjAqfS8GVJH053S2zJH98alcFo8NyHFoMEw2JPC3eNa1IEuu9HvaFw4Mr63RZZqFLo2CETPUMVaZHj3eCK0Bhgsz0VDH4IxF9XIw7RL/T4gTtcAUTw77mPr797EE6Ascn9S8ebKe5N8wvPr4edRy089+s7uRv+1riPIJDDfsA22q7ee5AG5dVFLAgx8c/X1J+0tefzQjjLhgVEdMmkuAHB5DhcYlV+yRSFdY5qh+Xr808VkKXP8xoZ2kKZ2p+ek0LE4csRRlVNv4it4sO04qTxy3W1GgG+zBSRfAjKWrjBdObP73fGGPYB9jb3M+f97ZwzTiUuL1Z1Yk1ykfEITrhGCmEKIgijLtgVDx3oJW+SOIsVVWkLE8aLbpBZTjC0L9Ej22zOxThbFVNWCM/1nKuDEVhk99LdUSn17RRZYl8VWVJgmYokiThkyX6kvQuTzvJpDrB5OM4DhHTprk3nPSYo53BcbnWWMMqaW5RmjhahHEXxLGvuY8tNZ1ke11csbIQlyqjpDDgwrZPHg1DytOGErQdaiI6Sz3j40HJUBTW+ZKXyw1ltcfNO8FwnGtVIiolK5gZ2I7Dz9+q4ZXD7bQHDOwUXpeCtPEJj5y3NJcndzcNKs2lIj/NxUfWzxuX684FhHEXDGLaDt95ppKXD7UPxrx+t6OBr1ywhIvK8/nlO7XUd8fP5tfME+1dJws9xQs3kmT1PNHkujROxWFXKEL42BC8ssRSl2vCGuAIxp97X6vmoe31Ix63KMfLdevGx8ietiCba9YW87/vNzLQSVoCFub66AkZg50qF2R7+IezFpHjEzkXo0UYd8Egv95Sy9/2t8Zsq+4M8h8vH+Ghv9vAzaeXcc+rVfSEj5dKVRSm8bmzhnf9FkwUvhRukvQJEMMZLQUuFxe5XPizfTS39ZGmyCKTfQYR1C1ePNiW8hgJWDs/g9vPXTyuJXFfuWApZy7K4bXD7Vg2nLYwiwvL8+kK6jx/oA2fS+XSigLcQihrTAjjLhjknequhNurOoI8s7+VD64uYnVxBk/saqIvYrI418dH188T2vOTyCK3i1bDIjxsBZ+tyCOWuE0GPlUhXUi2zjhqu4JxbVyH4wCbF2Szujhj3K9/5qIczlyUE7Mt1+/m4xtLxv1ac4WpfxsIpg2pOsR1HXOPLc71ccf5iTXnBRNPuqKwweflcCRCr2UjS8fEXDyiY5ngxClK95DlVekOpZZvfbe+Z5JGJDhZhHEXDLIkz8fhBE1k0lwKZwtZx2lDjqZwmubDObZ6F+5vwcmS5dPYvCCHZw60pjzOnKK8DsHYEUEMwSCf3FhCUUZ8tvVFy/NZlCtEaqYbkiQJwy4YN/75kmVcVJ6HT0v+TK0sFPKuMwWxchcMsrIone9fvZJHdjZQ3RHA71Y5c2EON54q4l4CwWzHqyl87+qVNPaG+eGLh3mzqjNGoGh1UTqfPr1sysYnGBvCuAtiqChK59tXiA5vgulDwIqq5WWrCqrwVEw48zI8/MeHV/HsgVZeP9JJ2LRYnp/GJzfNJy2BkJFgeiKMu0AgmJaELIvdoQgdpoUFeCWJ+S6N5R6XCEdMMJIkcVlFIZdVFE71UAQniDDugnHDsGz+Z2sdO+t7sByHisJ0bj69lAyPmO0LxobjOLwXjNBhHa/gCDkOhyM6LtFARiAYEWHcBeOC7Th8/al9vF7VObhtR10P79X3cN9H1+JzidpnwejpMC06rcSlmU2GIYz7FPHUnmb+uq+Flt4IOT4XFy/P4+Mb5gtPyjREGHfBuPD8gTbeGGLYB9jT3MdD2+u4elUhj73fRHfQYH6Wh+tPmU+aWzx+gsT02VacVv0AqSR4BRPHH95t4D9fOTIoE9vQE2Zvcy+9EZPPnblwSscmiEe8XQXjwnsNPUlfxm9Vd/Lk7mZa+4+3j3yuso27rqpgUa5/cgYomFFkKyoKesImOV7RaW7SsR2HX79TN2jYj2+Hp/e1cNOppUKpcpohfiWCccGVQve5riscY9gBqtqD/NebNRM9LMEMJUtVyE9gLBSgVJu7ORyO4/DakQ5+vaWWN6o6BoWMJpoDzX10BON7uwM09ESo7hifFrCC8UOs3AXjwlWrCnlqdzP9euxaSwJ6I4klLfc09WJYNpoi5piCeE7xedkbDNNuWRi2g1+RKXNpzJ+j5VitfWH+5W+VvNfQg+2AIsEf3m/i3y4pJ88/sTkIrx3pSLpPkSBvnFrACsYP8VYVjAvL8tP4zBllZHqPzxd9msK5S5PL1tqOgwifCpKhSBJr/V7OS/dzQWYaZ6X5KHPPXSPyw5eOsLM+atgBLAfeqerkhy8dnvBrqykm4Gkelfy0eGVLwdQiVu6CceOGTaVcUJ7PX/a2YFkOF5TnsSTPz989tINDbfFuu1VFGSnd+QIBgCxJc34V0h002JGkacuO2m56w8aElpxeUVHA73bU0xeJz4K4ZHnBhF1XcOLM9d+MYJwpzvDw2TMW8A8fWEh5QRqKLHHTqaVke2PnkaVZXm7dLKQsBYLR0K+b9IcTh7f6dZP+BEZ3PJmX5eUTG0vwDJuMbyzJ5AtnL5rQawtODLFyF0w4l1YUsijPz+PvN9EdMijO8PCJjfOFK08gGCVFGR4W5/k43B7vAVuS56cwfeJ/S589YwGnzM/k+cpWQobNyqI0rl07T3jfpinCuAsmhfL8NL5+0bKk+x3HIWzaeFRZCGIIBMNQZYlr1xZzz2vVhM3j9Wh+TeGaNcUo8uT8ZjaVZbGpLGtSriU4OYRxF0wpjuPwy3dqeelQG219OgXpbi5ans+nTyuNM/KdQZ0/7GykrT9Cfpqbj2+YR7Zv7iZYCeYWHz1lPplejb/ta6WtP0JBmptPnLGQ04pFG1ZBPMK4C6aUn71xlAe31g0K4HSHTQ63BTAtm88OUb16r6GHf3+6koae8OC25ypb+dZly1k7P3NyBy0QTBGXrCjgkhXHE9jy89Npa+ubwhEJpisiWCIAYGddN7/f2cC+5sl7UURMmxcOtsUp29nAs5VtGNZx9+N/v1kTY9gB6rvD/PdbQghHIBgPTNvhb/ta+NU7NWyt6Zo0gRzBxCBW7nOc9oDOvz99gHfre9AtB48qc+qCLL5z+Qr8E6z93tIXob47nHBfQ3eI9oBOcYaH1r4Iuxt7Ex63q7GHqo4Ai3J8I8bqHcehI6DjdSn4XeLRFwgGONjWz3efPcj+ln4AXIrEqWXZfO/qCrxCVnZGIlbuc5zvv3CILTXd6FZ0lh42bV4/MjnCGDk+jVx/4trcXJ+bLG90n+042EmU68Omw80Pv8ff/+F9XjrYlvRaT+1p5tO/e5drfrmN6365jX/+8z46k8hpCgRzCcdx+OFLRwYNO4BuObxZ3clPXqmawpEJTgaxfJnDtAd0ttd2J9y3rbaHsGFNaDOINLfK0lw/HYH4MWxelD24YihMd7OqKJ33GhKv3oOGxXsNvRztCJLl1dhQmhWz/5XD7fzHS0cIGtFa4LBp8/zBdrrDJvd9ZI3IzhfMafY297G7MbFAzva6qHte/EZmHmLlPofp6I/QpycWv+iNGASS7BsvQoZFfU8o4b7y/OPd4iRJ4rq1xeT4UitwdYdN/ndXU9z2P+9pHjTsQ9lZ181b1fFtagWCuURrXwTTTrwvoFtYIvQ+IxHGfQ6zMNdPWZY34b4F2T6yRzCmJ8uTu5po6Ikk3DdgdGs6g3zpT7v53guH6QwaZHlUclOMq6Uv/vMSbYOoNvfBtsAJjFwgmD2cvjCboiQiOEvz/KiTVEMvGF+EcZ/DuFWZK1YVMFxgyq1KfHBNIfIEu+J6kshpAvRHTEzL5l/+doC3jnYNrry7wya9YSPpebkJumMl2gbRh39Rjm9sgxYIZhl+l8pVqwvj3gNZXpXrT5k3NYMSnDQi5j7HuXXzAjI8Ki9UttHWb1CU4ebKlYVcuapwwq+9fn4mmgxGApfgghwff93XEpPkM4BhR1vJDvcW+jSZK1bGj/vyikJ21HUTMWPPWDs/g3NSdK0TCOYKnztzIYXpbl6sbKM7bDA/w8t164o5dUH2VA9NcIII4y7go+vn89H18yf9uqctyOLMxbm8eji2V/S8DA+f2FDCcwdak57rALIU/c+0YUmej4+um8c5S+KN9WUVBXQFdZ7Y3UxVRxC/S2FDSSZfvXDphHsnBLMPy3Z49kArVR1BitLdfHB10bTVV7cdhxcPtnGwNUCuT+PDa4uTJsl+eE0xH15TPMkjFEwUwrgLpgxJkvh/V1bwX28eZUd9D2HdZGl+Gn93aglL8/1UtqZ2mdsObCzJ4IvnLmFpflrK2OAnNpbw0fXzONoZzajPE01rBCdAa3+E/+/P+9jVeFzs6U+7mvj3y8pZXpA+hSOLpy9s8OXH9/D+sLHeeXE560uEquNsRxh3wZTiUmW+eO7ihPsuqyjgj+81sieFal6/brOicHQvVVWRWZqfhmU7/HVvC1UdAfL9bj68tmhCS/4Es4efvHIkxrADHG4L8J+vVvGzj66bolEl5qtP7o0x7ABHO0P8+JUj/OaGU2LK2wIRk19tqWNvcy84sGZeBrduLhO/ixmMMO6CaYsiS/zfqyr457/sY29zfOwdoCBtbI1j2o6tvIa+9B7f3cS/XFrO6uKMkxqvYHYTPqankIj3G3o52hlk4TRJ0OwLG0nHuq+ln601XZy+MAeIykB/+Yk9vFt//Pgd9T3saerjnutWoynTM+QgSI34qwmmNfMyPfzqk6ewujh+dS4Brf06z1cmj80P5z9frYpbzVR1BPnPV6uElrYgJYblEE6glwBRRbe+FFUck82Tu5tT1qd/74XD/Om9RgD++F5jjGEfYHtdN0/sjteNEMwMhHEXTHtkSeLuqyo4f2kuXu34I+sA+1v6+fYzB/nDzoYRP8ew7KSrmT1NvVS2ipp3QXLSPSrL8hO3V12S66NilOGhySCUqARlCA09YX786hH+sreZAy3Jw157m0THuZmKMO6CGUFBhoe7P7iSBQncnmHT5k/vN/LH9xp4aFsdjUlU7yzbIZJEisu0SVk/LxAAfHLjfLK9sdFMnybzkfXzUKeR+/qsxTm4lNSVIBHT4S97W0jlsBIx95mLiLkLZgwdAZ2jHcGE+6o7Q9z94hEAfr21jqtXF/Hd69bGHOPRFMrz/WxNoKe/IMfLKSKDWDAC5y7NI8Oj8fiuJpp7w+T4XVyxsjBhCeZUsrIoncsqCnhqT0vK45p7I/QnEZNSZbh0eUHCfYLpjzDughmD16XgdyuEkwlhH6M3bPL7HfWsW5jD+QuyYvbduKmEqvYA7cHjq3SfJvPRdfNE4pAgBsOy+dveFpr7IlQUpnH2klwkSeKUksyUE8EtNV08tbuJ1n6dPL+Lq1cXcuaiyTf+d15SjkdV+ON7jST7xXhUmerOxBPmHJ+LU0rFhHemIoy7YMbgd6lsKMnk+cr2EY+1HHh+XwvnL8hib3MvW2u6yfFpXLGykP+4ZhWPvddIU2+EbK/G5dNw5SU4cUzLprE3QqZHJdN7Yv0RDrT08Z1nDw72HpAl2FSWxV1XVZDuSf6Zz+xv4QcvHaF3yGr4naNdfPn8JXxwddEJjeVEkSWJrpCe1LDLQFmOlyNJvGFisjuzEcZdMKP4p/OX0hkweLehB3uE5Pa+sME3/7qf1450DCYYPbKzga9dsJR/u2zFJIw2NbWdQf66rwXTdjh7ca4QFhkHHtxay9/2tlDdGSLTo3Lagmy+duHSMRl5x3H40ctHYpoK2Q5srenmx69W8a+XLo85vidkUNcdYkG2l9/vbIgx7AD9usVj7zZy1aqJ79cwnLquxPknAKeUZPLZzWVsrelO2AFyXqZnIocmmGCEcRfMKHL9Lu7/2FpeP9LBofYAwYjJwzsaEpb99EdM3qmKbel6pD3If7x8hAdv3BCnaOc4DltruqnpCnJqWTaLcieuZvm32+r49ZZa+iLRl+rvdzZweUUBd15SPqW9sx0nmnToVuUZ18P7T+818t9vHh3sVdAdNnmuso23j3axINvLisI0bj69lIL01EZrb3Mfu5sSV1XsrOvBdhxkSSJi2tz1/CHerO6kK2SQ41XpDCWOXx9s7aeuK5QwIXQiSeVluHJVIcsK0jlzYTbPH4z1hnk1masnob+EYOIQxl0w45AkiXOW5nHO0jwcx6G6M8Trw4z4gmwvlp3YIXmwLcCLlW1cWnE8WaiuK8R3n6vk/YZeLAfSXApnL8nlXy8tH/cs6CNt/fxqSy39keOrJd1yeHJPC1UdQe66qoKCjMldNTmOw6+21PLSwXZa+yIUpLu5sDyfm08vnVZGvi9scN/rR3m3oQfdtFlekMZNp5VSUZTOswdaEzYh6ouY7GnuY09zH7sae7nvo2vI8iYXP+oM6En7m4cMC8t2kBWJu184xF/2HU9YS2bYIarE6HdP/uv23KW57KjtjnPNL8v3c/mx5//fLl9BpvcI7xztoi9iUpbt5cNrirk8QRMmwcxBGHfBjEaSJO66eiUPvFXDjvpudNOmvMDPp04t5c6/VSY9ryOgx/z7ey8cYucQIY9+3eLp/a3k+jS+dN6ScRuvZTvc+3p1jGEfyu6mPr7y1D5+/vH1uCexGcl/vXmUX2+pG+y01x02OdwWwLBsPnfWwkkbRypsx+FrT+1ne1334Lb6njAHWvv4z2vX0NqvJz/5GAfbAjy0vYEvnL0o6TGnLchmXoabxt5I3L6FOV6aeiOkuxXequ5McHZicv0aeUlaD08kH1s/j6aeME/va6UzZCABFYVp/NP5SwYnrW5V5usXLcO0HSKmhU9TptWETnBiCOMumPG4VJkvnBP/sl5WmMah1njZ2gy3wrlDWr3ua+7jvYaehJ/91N4W/u60UnJ8J/9i7g0bfPXJfeysT3ytAfa39PO/7zfyiY0lY75GULf4/bv1VLcH8btVrlxZwJp5qWP5j73XwG+31ce10LWB5yrbuPn0smnR9ey5A63sGGLYB2joifDIjgYK01009IRH/Jwj7anFijyawjVri/n52zXoQ+I9miyxv6Wfj/xqG/OzPHQER6+LsKksa9THjieSJHH7eUu4cVMJrx7pID/NxQcW5yaM/auyhOoSJmG2IP6SglnLrWctYnt1Z8yKTgIuWVHA/Czv4LbariBGEq3O3rDJ7X/awz0fWZ3SlTsa7n2tekTDPkB1Z/JEqGS09Uf4pyf2sr/l+ITmmf2t/MNZC/j4hsQThZcPtXPPq1UYSbIT67tDtPZHKBlyv6aKypb+uAnIAPXdIS5bUciepr4Yg5wIrzqyMMunTy+jMMPD8wda6QzqNPZE6AoZg/epvnvkScQAHlXimrVT20o1L83NdevmTekYBJPL1E/HBYIJYuPCHO7+4EouXZHP8gI/G0sz+eI5i/jahUsHj3Ech+X5aWT7kice7W/t57fb6k96PMm8A4nI9Ix93v3A2zUxhh0goFs8tK2e/kjiePBf9rYQNpMbw1y/K+W9mUwyvMnvSbpH5Zp1xXz+AwtZkudDJjqRG44qw7nLckZ1vcsrCvjRNau5ZfMCek5QvVCV4Zq181hVJJoSCSYXsXIXzGpWF2fw3SsTv1hfPtTG73Y0cKgtgGmlFsY5OA668/oI4jsD5Ps1PrJ+7KusvUkyvFv6df62r4WPnTI/bl9rX3xceShnLszGP01ctdetncfju5ppGhYLdykSFy3PB+CGTaVcv6GE1r4Irx5u57fb62k75rnJcCt8aE0xl64YW6JYVXsgadlltlcl3aPR3q9TmOHm/KW55Po1djf2oykS5y7N5dyleWP/sgLBSTI9frUCwSTzbn03/+/5Q3SnyHAeyngkty0vSEuYpCVLDBqPJXk+PnfmAgrT3WP+fCnhWvXYviQJUgXpLg4kaaq3fn4GX71w2ZjHMVFkeDW+fuEyfvp6FYfbo8IrBWkurltXzIXl+YPHqbKET5ORJLhx43wipo0jwcXl+ZRmj70UbWm+H0UiYbnlqqIMfvChlfRGTDI82mB55cdOObHvKBCMF8K4C+Ykj+9qHrVhl4AzFmWf9DVvOq2UytYAjb3H47VuVeLTp5VRlu3FrcqctTg3rv5+tKwuTo8RXhmgMN09WPY0nKtWFbG9tpvgsBqylYV+/vv6dRMiuvL8gVZeOdxB2LRYmpfGjZvmp6zHHspZi3M4fWE2rxxqoz9icdHyfNKGlZj9ekstj77bQHsg6kovyfTw2TMXnJBhBzhrUQ7LC9LYNyzkIQMXluehKvK4JFwKBOOJMO6COUlLCne0R5UH9es9qsxlFQVcOw4JUauKM/jJtav4/c4G6rvDZHhULlmRz/nL8kc+eRR87syFVLb2s7f5uBFKc6vcdGpJnAEc4PxleXSHlvCn9xs53BbA745K/H71/CUTYtj/89Uqfr+zfrCO/LUjnbx9tJOfXLOanFGWiqmyxEVJGpq8UdXBL9+pITIkj6C+J8x/vlLF+nkZzDuBxEBJktASOG5sYGd9D1dNsqysQDAaxt24m6bJPffcwwMPPMDll1/Oj3/841GdFwqFuOeee3j66adpb2+nuLiYa6+9ls997nPIssj7E4wvuSlWWrdsLsW0ozHyc5bksmZe8mSobbVdvHiwHd20WTc/gytXFaVceS/K9fP/XVx+UmNPRo7fxX99bB2PvtfIkbYAaW6FK1cVsbIodZ/xa9YW88HVRTT1hklzq2SdoB77SBztDPL4rqY4gZj9Lf38ekst/3TB0pjtpmXz87dr2VLTRciwWJLn44aNpawqTv59nj/QFmPYB+gMGfzvria+cM7iMY/7UFs/+5LkXGyv68a0nRP2tggEE8W4GvempibuuOMO6urqcFI1CU7Al770JbZt28ZXvvIVli1bxo4dO7jvvvvo6Ojgm9/85ngOUyDgylUFvHW0M05Tuzzfz42bSkfVNONnb1Tz8Pb6wdKrP+9t4eVD7Xz/g6umrC7coyl86tTSMZ+nyNKElbs9va+FP+9t4UBLX0INc4B9LX1x2/716QMxTYKqOoLsburjBx9cyYrCxAa+X08eakl27ZHoCOhJSyVDho1h2QQiNo4DWdOkskAgGNc30Ne+9jUUReHxxx8f03lbtmzh1Vdf5Stf+Qo33HADp512Grfddhs33XQTDz/8MI2NjeM5TIGAsxbn8qVzF7MsLxqHdasSp5Vl8e+XLx+VYT/U1s8fdjbG1VS/Wd3FwztOvmxutvDk7ia+98IhttV2D+roJ0Id5p3b1dDDa0c64o5r7o3wux0NST9nYQrt9vKCtFGMOJ718zMpyUosB1yU7uIbT+3jml9u5ZpfbuUfH9uVUGhHIJhsxnXlfv3113PZZZehqmP72Oeffx5Jkrjyyitjtl999dX84he/4MUXX+Tv/u7vxnOoAgHXrC3m6tVFHG7rJ82tjmnl+uz+NoJGYmM1lnr22YzjODyxu3mwI18q1s+PDX1sq+tO6F6HqHs/GTdsLOHN6k6OtMcec0pJxgk3QvFoCh9aXRSnWJfukmkPGBwY4rLfWttNbVeI/75+LfMyp174RzB3GVfjftVVV53QeZWVlRQUFJCVlRWzffHixUiSxP79+8dhdAJBPKosJXXxpiJV0GmMEakZQW/I4I/vN9IdMlma7+eKlYUjxpkDukVtipajcLwS4dbNC2K2p4r7J0sOhGjewQ8/tIpfvlPL/pY+VEli3fxM/uGsBSfVAOjTp5eR73fx/ME2OoMG8zI8uFSJp/e3xR3b3BfhDzsb+fL549eTQCAYK9MiW76zs5Ps7PhSI5fLRVpaGp2do2/QIBBMBheW5/HYuw2EEgjTrEmR8DWd6Anp/G5HI/U9IbI8KtesLWZpfrzr+p2jnXzv+UMxNfpP7Wnm+x9cSVNvmL/saaFfN1mY4+MLl6wYPMajKWR41Lj+5hA16htKMvjw2mIuWVEQl5l/1aoi/rCzIaEMb09I555Xq/j4hvkUJNADKMny8m+XLY/bfrJcubqIK4dkxn/nmeSNiVr7U4sDCQQTzYjG3TAMamtrUx6Tnp5OQUHi0pTREIlE8PkSx8o0TSMcHlnHOTvbhzoKzeipJj9/Zrz4ZwsTdb/PzU/nhppuHnzraIwu+1lLcrnjipV4tOn9LB5q6eO2P+7h8JDGOi8c7OBfrl7JNUOU7Czb4b8feS9OfOf9hl6+8dcDHG7tp2+I8X6juouf37SJ4mMu6XOXF/Dwlvj3hwMcbA/i8rooLEhcjfCda9fwnb/so7I5tr78YFuQg21BXqvu5J6Pn8K60qyxfv1xobQgDfa2JNxXkueftN+6eKdMLjPlfo9o3FtaWrjiiitSHnPNNddw1113nfAgPB4PhpFYu1nXdTyekXtbd3Ulj8NNF/Lz02lri88KFkwME32/P3d6KStyvbxyuAPDslldlM616+bR1x1kLFd1HIeHttfz0qF2Oo7JmF5RUcg16yau2chdf9kXY9gBOoM6975wkM3FaYMu7DerOtnbmFjWdlddd5xq257GXr735338y6XRcr/bNpfR3BnkpUPtcaGMvrDJr16v5rwFWQlr6pdnevjNx9fz7IFWfvb6UVqHtemt6Qjyw6f386NrVo/hm48fVy3P4/Ed9XETnzy/iyvK8yflty7eKZPLdLvfqSYaIxr3kpISKiuTu5/Gg7y8PKqqquK2RyIRAoHASXkFBIKJ5NyleSetHf5fb9bwmy21DDj4m/oi7GvuQ7dsrt8Qrwd/stiOw97mxAa7qiPIO0e7+MCSaEvcgG4mzS9I1nxtzxCNe7cq8+Xzl/Dq4XYS5ccdau2nvjtMWXbi5DNVkSnL9tIWSNyrfW9zH2HDmhJPSZ7fzb9cVs4Db9awu6kXx4GVRel8+vRSFuWemBqeQDBeTIuYe0VFBe+88w5dXV0xsffKykocx2HVqlVTODqBYOIIGxbP7m9heORetxz+vLeZj54yb0KU4lLp0A/ddc6SXOZnekbVJz3B6QB4NRm/W6UnQezdpUq8c7QTx8lmQZIyNkmKjjbRXGKqpWM2lWaz8fosGrpDmA4syPYm1fEXCCaTaSH9dtlll+E4Dk899VTM9ieeeAJN07joooumaGQCwcRypD1AQ4JmMgB1XWG6QyfWajQVsiQlVXlbkudj88LjLVE9msJH1xfjHaa/WpTuJs+fOKN9dXFsDD3Do3FKSWbCYw3L4QcvHeHTD7/LN57aRzCB0MzKonRWFCWuUV89L2PK8xskSaIk28fCHJ8w7IJpw7it3HVdj3Pf9/b2snv3bgCys7MpKSkB4OKLLyYvL49HHnkEgHXr1nHllVfyk5/8BFVVWbFiBW+//TaPPPII//iP/0hubu54DVMgmFYUpLtJdyn0JTBqkuTQH7FIoctywvzDWQup6gxSNaQePMerccvpZXElbjdsKqUs28ezB1rpCRnMz/Lw8VPms7O+l5++Xk3fkF7xa+Zn8PdnxZa1Adxx/hI6Ajq7m2LjlQOu/X7d4sVD7bhUmW9fsSLmGFmS+MzmMu564TCt/cfd84tyvHzuzPhrCQQCkJyx6sQmob6+ngsvvDDp/qFJdxdccAF5eXk8+uijg/t1Xefee+/lz3/+M+3t7ZSUlPCJT3yCm266aVTXn05JDsmYbskYs52Zcr+//tQ+XjrUnnBfcYabf7m0nFPLTr4r3XD6IyaP7GygvitEllfj2nXFSV3jyTjQ0sef97TQHzFZnOvj85csp787SEtfBK+mkDmkXt2yHZ490MqRtgCP725KqFiX49P4482nku6JX3c09YZ57N1GukI68zI8XH/KfDImSAd/pjBTnvHZwnS736kS6sbNuE810+mGJ2O6PRiznZlyv7tDOt96upK3qrviYu8QrQf/7+vXJz3ftB1+9XYN79R0EYiYLMz184kN81mfxBU+kbzV0MsDrxzhUFs/Hk1h/fxMbj9nEQfbArxT04UsRd3sd71wKK6BDERj6I/dvGnMk4y5ykx5xmcL0+1+n1S2vEAgmFiyvC7+5bLlfOjnWwdbzQ5ld1MfTb1hijMSl4R+55lK/ra/dfDfVZ0hdjf18r2rKlg3f/IM/LbaLv7tL/vpDkXd9Lpl8tqRDt5v6KE3fDzr/oldzfjdaow7f4DSbG/S7ykQCEbPtEioEwjmOo5Dyqz4ZP61g639vHI4vsFKW7/OH3Ymb7AyETy5u3nQsA+lJxxbTmcTDQkMf/nIEly2In/KOuoJBLMJsXIXCKYBuX4Xq4rT2VbbHbdvVVE6xRnxMqsA7xztStrAJpF060TS2jd6yVUHWF2chu1Aa59OfpqLi8rzufHUkokboEAwhxDGXSCYJnxmcxn13SGahpTGFaS5uHVzWdISq7y0VA1WJrdELC8t8QQkGUvy0rjzknJsx5mQWn6BYC4jjLtAME3YUJrFA9ev59F3G2jpj5Dnd3H9+nnMS9GK9pLlBTy0vYFDbYG4fWctyklwxsTxwdVFbKntojeBa344MrB5QbQCQBh2gWD8EcZdIJhGFGW4+eK5i0d9vKrIfP2CpfzgpcNUHjPw6W6Fi8rz+dRppRM1zIRsXpjNv161kl+8WsXBgWz5eRmYts3W2tge95dW5HNB+cnJ9goEguQI4y4QzHDWlWTymxs38GJlGx0BnQ8syaEse2pKyT6ysZSzSzNp6A7jdSnk+V1YtsNTe5rZUdeNLEmcviCby1cWCDU3gWACEcZdIJgFqLLEpRXTo8GSLEmUDmkEo8gS16wt5pq1E9flTiAQxCJqTgQCgUAgmGUI4y4QCAQCwSxDGHeBQCAQCGYZwrgLBAKBQDDLEMZdIBAIBIJZhjDuAoFAIBDMMoRxFwgEAoFgliGMu0AgEAgEswxh3AUCgUAgmGUI4y4QCAQCwSxDGHeBQCAQCGYZwrgLBAKBQDDLEMZdIBAIBIJZhjDuAoFAIBDMMoRxFwgEAoFgliE5juNM9SAEAoFAIBCMH2LlLhAIBALBLEMYd4FAIBAIZhnCuAsEAoFAMMsQxl0gEAgEglmGMO4CgUAgEMwyhHEXCAQCgWCWIYz7BGGaJj/60Y9YsWIFX/7yl0d9XigU4u677+a8885j9erVXHzxxdx///3Ytj2Bo535WJbF/fffzyWXXMLq1as599xzufvuuwmHwynPq6mpYfny5Qn/27Rp0ySNfvpz4MAB/v7v/56NGzeybt06brzxRrZu3TrieVu3buXGG29k/fr1bNiwgb//+7/nwIEDkzDimc2J3O+vfOUrSZ/l3/zmN5Mz8BnMgQMHuPTSS1m+fDlHjhwZ1TnT+flWp3oAs5GmpibuuOMO6urqGKuMwJe+9CW2bdvGV77yFZYtW8aOHTu477776Ojo4Jvf/OYEjXjm893vfpdHH32UL3zhC5x66qns27ePn/zkJxw9epT7778/6Xl9fX0AfOMb34gz5qoqfh4AtbW13HDDDSxevJgf/vCHAPzhD3/glltu4eGHH2bdunUJz9uxYwe33HILZ5xxBvfddx/9/f38+te/5sYbb+SJJ56gpKRkMr/GjOFE73d/fz+LFi3iBz/4Qdy+efPmTeiYZzq/+93vuOuuu8jIyBj1OdP++XYE486NN97o3HDDDU5ra6tTXl7u3H777aM675133nHKy8udhx56KGb797//fWfFihVOQ0PDRAx3xlNbW+ssX77cufvuu2O2P/zww055ebmzbdu2pOe+9dZbTnl5ufPWW29N9DBnLF//+teddevWOR0dHYPbIpGIc+655zo33XRT0vNuvPFG59xzz3Uikcjgto6ODmfdunXOP//zP0/kkGc0J3q/P/nJTzqf/OQnJ2GEs4stW7Y4a9ascR577DHnnnvuccrLy53Dhw+PeN50f76FW34CuP766/nNb35Dfn7+mM57/vnnkSSJK6+8Mmb71VdfjW3bvPjii+M5zFnDiy++iOM4XH311THbr7zySiRJ4oUXXkh6bn9/PwB+v39CxzhTcRyHF154gTPPPJOcnJzB7S6Xi0suuYQtW7bQ29sbd153dzfbtm3j4osvxuVyDW7PycnhrLPOSvk3mcuc6P2GqBdKPMdjJysri9///vd85CMfGfU5M+H5FsZ9ArjqqqtOyKVbWVlJQUEBWVlZMdsXL16MJEns379/nEY4u6isrESSJJYsWRKzPTMzk4KCgpT3beBFmZaWNqFjnKk0NjbS19fHsmXL4vYtW7YM27Y5ePBg3L6DBw/iOA7l5eVx+5YuXUp3dzdNTU0TMuaZzIneb4gad/Ecj53y8nJWrlw5pnNmwvMtjPs0orOzk+zs7LjtLpeLtLQ0Ojs7p2BU05+Ojg7S0tJiZtADZGdnp7xvAzH3xx57jKuuuop169Zx1lln8a1vfYuenp4JG/NMoaOjAyDhczmwbeCY8ThvrnMy962vr4/W1lY+//nP84EPfIC1a9dy3XXX8corr0zYeOcqM+H5FhlDo8QwDGpra1Mek56eTkFBwQlfIxKJ4PP5Eu7TNG3EzO/ZxmjveSQSSWjYIXrfUhnpAbf8vn37uP3228nKymLHjh3cf//9bN26lccffzzpZ88FdF0HSHgPNE0DSPhcRiKRmGNGe95c50Tvt+M4BAIB9u3bx2c/+1k+85nP0NnZyW9+8xs+97nP8f3vf58PfehDEzv4OcRMeL6FcR8lLS0tXHHFFSmPueaaa7jrrrtO+BoejwfDMBLu03Udj8dzwp89ExntPT+Z+3bzzTdz/fXXk5eXhyRJAGzatInc3FzuvPNOHnvsMW644YYT/xIzHLfbDZDw/g4YIq/XG7dv4J4nOm9gW6Lz5joner8lSeK1117D6/XGuObPOeccrr76au6++26uvvpqZFk4a8eDmfB8C+M+SkpKSqisrJzQa+Tl5VFVVRW3PRKJEAgETsorMBMZ7T2/88476evrQ9f1uBVPR0cHK1asSHqu3+9PmIR08cUXc+edd7J79+6xD3wWMZAUmii00d7eHnPMUPLy8gDo6uoa03lznRO938m2u1wuzj77bH7729/S2Ng49eVZs4SZ8HyLadw0oqKigtbW1rgHprKyEsdxWLVq1RSNbHpTUVGB4zgcOnQoZnt7ezvt7e0j3reBFdFQBlxqc9klD1BUVER2dnbCSVZlZSWapiVMKlq+fDmKoiQ9Lz8/f85NVkfDid5viAo5WZYVt33AhTzgFRCcPDPh+RbGfRpx2WWX4TgOTz31VMz2J554Ak3TuOiii6ZoZNObiy++GFVVefLJJ2O2D/z78ssvT3rubbfdxnnnnUcgEIjZ/txzzwFw2mmnjfNoZx6XXnopb731Fm1tbYPbgsEgzz33HOecc05Cz0d6ejpnnnkmzzzzTEzssaWlhbfffjvl32SucyL3e9euXaxdu5Zf//rXMdtDoRCvvfYaCxcunPKV5GxiRjzfU1ZhP0uJRCLOrl27Bv8rLy93brnllsF/19XVDR570UUXOR//+Mdjzv/yl7/srF+/3nnooYec7du3O/fee6+zYsUK5957753srzKj+OEPf+hUVFQ4P/vZz5zt27c7Dz74oLN27VrnG9/4Rsxxw+/522+/7axatcq5/vrrnWeffdZ55513nHvvvddZs2aNc/311zuGYUz2V5l2NDc3O6eddppz7bXXOi+//LLzxhtvODfddJOzfv1659ChQ47jOM7jjz/uVFRUOK+//vrgefv27XPWrl3r3HLLLc6bb77pvPTSS86HP/xh58wzz3Ta2tqm6utMe07kftu27dx8883O6tWrnZ/+9KfOli1bnGeeeca5/vrrnRUrVjgvvvjiVH6laU1dXd3g+/mb3/ymU15e7jzzzDOD2yKRyIx8vkXMfZxpbW2NE0N44403eOONN4DYpLtEbrS77rqLe++9l5///Oe0t7dTUlLCN77xDW666abJ+QIzlDvuuIPMzEweffRR7rvvPgoKCrj11lu57bbbYo4bfs83b97Mgw8+yP3338+3v/1turu7KSoq4qabbuK2224TErRAYWEhv/vd7/jBD37AHXfcgeM4rF+/nv/5n/9h6dKlANi2jWVZMT0QKioq+M1vfsOPfvQjPv/5z6MoCmeccQY//vGPB2OWgnhO5H5LksRPf/pTfvnLX/KXv/yFBx54AFVVWbduHQ8++KDwQKXgpz/9KY8//njMti9+8YuD///iiy/OyOdbcpwxip8LBAKBQCCY1oiYu0AgEAgEswxh3AUCgUAgmGUI4y4QCAQCwSxDGHeBQCAQCGYZwrgLBAKBQDDLEMZdIBAIBIJZhjDuAoFAIBDMMoRxFwgEAoFgliGMu0AgEAgEswxh3AUCgUAgmGX8/yCbsIvGWbMmAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_samples = 500\n",
"noisy_circles, labels_noisy_circles = datasets.make_circles(\n",
" n_samples=n_samples, factor=0.6, noise=0.05\n",
")\n",
"\n",
"plt.scatter(\n",
" noisy_circles[:, 0], noisy_circles[:, 1], c=labels_noisy_circles, cmap=\"tab20\"\n",
")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "2c798ca8",
"metadata": {},
"source": [
"#### 3.1.1 Run regular Kmeans"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "e0b9d09c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"NMI: 4.6166733759236576e-05\n"
]
}
],
"source": [
"kmeans = KMeans(n_clusters=2)\n",
"clusters = kmeans.fit_predict(noisy_circles)\n",
"\n",
"plt.scatter(noisy_circles[:, 0], noisy_circles[:, 1], c=clusters, cmap=\"tab20\")\n",
"plt.show()\n",
"\n",
"print(\"NMI: \", normalized_mutual_info_score(labels_noisy_circles, clusters))\n"
]
},
{
"cell_type": "markdown",
"id": "8e29b727",
"metadata": {},
"source": [
"#### Comments:\n",
"\n",
"Kmeans clearly did not work for these data."
]
},
{
"cell_type": "markdown",
"id": "9ff4ecf2",
"metadata": {},
"source": [
"#### 3.1.2 Generating 100 partitions using Kmeans with 100 clusters"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "8438ed79",
"metadata": {},
"outputs": [],
"source": [
"kmeans = KMeans(n_clusters=100)\n",
"\n",
"clusters = []\n",
"for _ in range(100):\n",
" clusters.append(kmeans.fit_predict(noisy_circles))\n",
"clusters = np.array(clusters)\n"
]
},
{
"cell_type": "markdown",
"id": "c1a97583",
"metadata": {},
"source": [
"Let's now display 3 of these cluster assignments."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "2696b7e3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1728x576 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(24, 8))\n",
"for i in range(3):\n",
" plt.subplot(1, 3, i + 1)\n",
" plt.scatter(noisy_circles[:, 0], noisy_circles[:, 1], c=clusters[i], cmap=\"tab20\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "93f33467",
"metadata": {},
"source": [
"#### Comments\n",
"\n",
"- Clusters are definitely \"good\" (better than random)\n",
"- There is \"a high number\" of partitions (> 100)\n",
"- Regarding diversity, all three clustering partitions shown above are slightly different but most points appear to share common clustering within the three partitions."
]
},
{
"cell_type": "markdown",
"id": "5bd5d602",
"metadata": {},
"source": [
"### 3.2 Consensus function"
]
},
{
"cell_type": "markdown",
"id": "2a8dfcc2",
"metadata": {},
"source": [
"- The grouping strategy presented in Section 2 (simple majority voting) is used for supervised classification problems. For clustering, it cannot be used straightforwardly because of the label correspondance problem.\n",
"- The most straightforward approach to consensus would be relabelling and voting. Other approaches exist, here we will see one based on counting co-occurrence of points in clusters between different partitions."
]
},
{
"cell_type": "markdown",
"id": "5d9fde89",
"metadata": {},
"source": [
"#### 3.2.1 Co-Association Matrix function"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "ff6a6ed0",
"metadata": {},
"outputs": [],
"source": [
"def compute_CoAssociationMatrix(clusters):\n",
" n_samples = clusters.shape[1]\n",
" CAM = np.zeros((n_samples, n_samples))\n",
" for i in range(clusters.shape[0]):\n",
" for j in range(n_samples):\n",
" for k in range(j + 1, n_samples):\n",
" if clusters[i][j] == clusters[i][k]:\n",
" CAM[j, k] += 1\n",
" CAM[k, j] += 1\n",
" return CAM\n"
]
},
{
"cell_type": "markdown",
"id": "219e25a7",
"metadata": {},
"source": [
"#### 3.2.2 Cluster the Co-Association Matrix\n",
"\n",
"- Agglomerative clustering can be used to cluster a dataset based on precomputed distances\n",
"- The Co-Association Matrix represents the similarity between two points in dataset. As Agglomerative Clustering requires distances (dissimilarities) we need to pass the opposite of the Co-Association Matrix as argument."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "abeb4f13",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
"\n",
"agg = AgglomerativeClustering(n_clusters=2, affinity=\"precomputed\", linkage=\"average\")\n",
"clusters = agg.fit_predict(-CoAssociationMatrix)\n",
"\n",
"plt.scatter(noisy_circles[:, 0], noisy_circles[:, 1], c=clusters, cmap=\"tab20\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "f0dd2296",
"metadata": {},
"source": [
"#### 3.2.3 Initialization issue\n",
"\n",
"- The algorithm did not work as expected\n",
"- Previously, we noted that the diversity in the partitions was limited, this is due to the default parameters of Kmeans. Indeed, by default, Scikit-learn Kmeans runs the \"Kmeans++\" algorithm to properly initialize parameters and conducts multiple initializations (10). This has the effect of limiting the diversity in the partitions because each run converges to a similar local minimum.\n",
"- To correct this issue we need to set Kmeans initialization to random and the number of restart to 1. this will \"reduce the performance\" of the individual partitions, but increase the diversity."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "3c700bb1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"kmeans = KMeans(n_clusters=100, init=\"random\", n_init=1)\n",
"\n",
"clusters = []\n",
"for _ in range(100):\n",
" clusters.append(kmeans.fit_predict(noisy_circles))\n",
"clusters = np.array(clusters)\n",
"\n",
"CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
"\n",
"agg = AgglomerativeClustering(n_clusters=2, affinity=\"precomputed\", linkage=\"average\")\n",
"clusters = agg.fit_predict(-CoAssociationMatrix)\n",
"\n",
"plt.scatter(noisy_circles[:, 0], noisy_circles[:, 1], c=clusters, cmap=\"tab20\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "35af2f72",
"metadata": {},
"source": [
"#### 3.2.4 Find the good number of clusters in each partitions for 100 partitions"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "4207b096",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8 NMI: 0.00011566251563091068\n",
"10 NMI: 0.00023373198039611758\n",
"12 NMI: 0.0\n",
"14 NMI: 0.00214617865119764\n",
"16 NMI: 0.0024818544496891283\n",
"18 NMI: 0.006031990097249684\n",
"20 NMI: 0.9999999999999974\n",
"22 NMI: 0.9999999999999974\n",
"24 NMI: 0.9999999999999974\n"
]
}
],
"source": [
"nmis = []\n",
"for k in range(8, 26, 2):\n",
" kmeans = KMeans(n_clusters=k, init=\"random\", n_init=1)\n",
"\n",
" clusters = []\n",
" for _ in range(100):\n",
" clusters.append(kmeans.fit_predict(noisy_circles))\n",
" clusters = np.array(clusters)\n",
"\n",
" CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
"\n",
" agg = AgglomerativeClustering(\n",
" n_clusters=2, affinity=\"precomputed\", linkage=\"average\"\n",
" )\n",
" clusters = agg.fit_predict(-CoAssociationMatrix)\n",
"\n",
" nmis.append(normalized_mutual_info_score(labels_noisy_circles, clusters))\n",
"\n",
" print(k, \"NMI: \", nmis[-1])\n"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "5d493dd4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fca08d6e9d0>]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(range(8, 26, 2), nmis)\n"
]
},
{
"cell_type": "markdown",
"id": "3ddc626d",
"metadata": {},
"source": [
"#### Comments:\n",
"Ensemble of 100 partitions containing 20 clusters appear to work well for the concentric circle data."
]
},
{
"cell_type": "markdown",
"id": "4ab5df10",
"metadata": {},
"source": [
"### 3.3 Repeat the process for the elongated blob data"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "41ef8c72",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fca0955e6a0>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"random_state = 170\n",
"X, labels_blobs = datasets.make_blobs(n_samples=n_samples, random_state=random_state)\n",
"transformation = [[0.6, -0.6], [-0.4, 0.8]]\n",
"blobs = np.dot(X, transformation)\n",
"\n",
"plt.scatter(blobs[:, 0], blobs[:, 1], c=labels_blobs, cmap=\"tab20\")\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "6a9c5ea9",
"metadata": {},
"outputs": [],
"source": [
"kmeans = KMeans(n_clusters=20, init=\"random\", n_init=1)\n",
"\n",
"clusters = []\n",
"for _ in range(100):\n",
" clusters.append(kmeans.fit_predict(blobs))\n",
"clusters = np.array(clusters)\n"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "e0dda8f6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ImqIGVZEovZaNpkCWrrHW68EnDTKEEAuIjKDFtNIVJekPVSTOPulOw+RYMExj1CAnTjZ3iqJwWYqPG9JTyHNpjG0i2Ws7HA1FAOgwTA4Fw3RaNiYQcaDJsNgXDOPIaFoIsYDICHqC+sIG3365iv31PURMm1X5KdyzvZQNRWlzfWvzTkBV6bHjlxgZWQvbcRyOhCLURY3hgiQqkK2phB2HsO0Mj8irIwarvG66zPjX7bQsekyLmqgRE8ABuiybxqgZ01BDCCHmKwnQE2A7Dv/zkePsqesefqyxN8KJln6+dud6luUE5u7m5qFit4uecCTmcb+qsGREgGw0TGqio8OpDXSM6QkdchyqogYRy8JMMAp2gLBlE07wwQCgNholVVOlLrcQYkGQKe4JeO5UG3tHBOchTb0RHtjXMPs3NM8t9bgoc7tGffpLUVXW+TxoIzK4W42JNpsc1HhuTTmRw6EwvVbiAN1h2bzaH+TAQEimu4UQ856MoCfgeHN/wu0/9d2hWb2XhUBRFDb4vZR7XLQYJm5FodjtGhWcASZZthuAsBO/wxVAeALPt4B6w8QcCLE9xT/5GxBCiFkiAXoCMvyJ1y3TvPIWJpKqaaQmyZyOtz1qIvyqikeJnQqfjGbTosMwyXbJ908IMT/JFPcE3L2pkJL02DrPbk3hhlW5c3BHC5/tOHQk2ROdjOk45E1DYK2LxksnE0KI+UEC9AQE3Dp/d+NyVuWlDD9WkOrhTy9dws2r8ubwzhauVsNkcivQ53kUhUxdm/IPb1jWoYUQ85jM703QzvIsti/J5JXKDnrCBtevyCXFI2/fWFHbptEwUSHuuvOQqYTGQrdOlq6To2u0JqhaNhE+aU0phJjHJMJMgqYqXLM8Z65vY946E45QHYkSPhd9z0airPR6KHbHruHnuXRcEHfPciI+VaHY5WKZxw3AZr+Xo6EI7aZJZJIR36NAuds9uScJIcQskgAtpkVL1OBUODoqu3rAdjgWCpOlqTFlNjVFYbXPzZHQ+N2r8jSNVT43KZo2akTuVlW2BHyYjkPUtjkeitCUYEStAEN3kK6rVHjcpMt+aCHEPCYBWkyLRsOMu/Up4kBN1GS1LzYYlnk8pGs6p8MRBmybqO0QHXOOB6jwuklPUL8bBsuL6pqGO8mUtcPgCPzSgH9Um0shhJivJEDPoKhp86t99Rxs6EVRYEtJOu/fUoy+CAOEkSThynASb4fK0DV2nNuPbDsOp8JR2gwTE4eAqrLU4yJnAhnbhm0TGmfbVZ/tUBONstIXm5EvhBDzjQToGWJaNp9/+CivV3cNP7brbCf763v49zvWoS2yBKWAqpKoj1X6BLtIqYrCap+H1T7PhF+3LhLlTDjCwATXoOuiBiu8noQ9qYUQYr5YfEO5eeKhQ02jgvOQXWc7efxYyxzc0cyq8LhIUWN/nLI0jZI4SWLToS4S5XBo4sEZIORA3xQKnAghxGyRAD1DDjX2Jjy2v75nFu9kdvg0je0BL8UunRRVJVVVKXO72B7wos7QaLXOMOKuewshxGIgU9wzpC+cuAyHnqzjwwKWomlsCfhm7fVC1oXtpn69P0iurrHG5xnOLg9ZFmcjBn2WhaYo5Ll0ytwumQoXQswZCdAzoLYrxPGW/rjHXCpcv0L2Uk8HXVEgSXKaDnGrlRlAo2nR3hfk2rQAhuOwZyBM/4hWla2mRZ9ls8HvPddnOkrYdvCpKuUeV9Ia40IIMR0kQM+AB/Y10BWKX4JjU3E6l5ZnYdkOT59o5URrP2lenXdvKiTdJ4UzJupEKEIwSe9nv6qw2eehLmpSl6CtZRR4rS9Ipq6OCs5DGqIGKYrC6Uh0xPYvi2bDYKPfS75rZtbWhRACJEDPiKbexI0Pl2b56QsbfOGRY7xVd34t+uHDzfzt9cu5cln2bNzigmI6Dg1RA4XB8qGNUZOzkfgFTjQgV9dY6fOQpmm0mMlXqfsdB9uIn31uAmei0Zi92REHzoajEqCFEDNKAvQMSE/SgjLD7+LbL1eNCs4ATb0R/t8rVVy6NAt9kW3BmorKcJSqSJTQuansM5EoOolrea/yeqjwDs5EOI5DvzV+Sw5bSXzBRCVEeyybsG3jjZO5LoQQ00H+usyA29YVkOKOXaMsSvPw3s1FHGiIn+F9pj3Ii6fbZvr2FowOw+RUODIcnAGCtkOvnXjdOXquKErIsnitb2DcETQQd3sYgFcZLBEaj4L88gghZpb8jZkB25dk8JmrKyjPGsxoVoG1+Sn8/U0ryPC7iSYJGv2RC+/OtNjUG8akW1JmnEveOhKK0JUkkA/xqwpLXC6yNW1UMPYosNrrJTtBve5MTcMto2chxAySKe4ZctemQm5bl8/u2i58usaW0vTh/cCr81Oo74ldp85PdXPjqtzZvtV5yXYcokkCrEZs3bJcXSPfpdNvWRNqQ+kGwrbDvnAEGPxlyNFU0vTBLVYeTcWvqoTsEAMj7iVFVVk1iWpnQghxISRAzyC3rnJlRWzS10cvKeVES/+oIO3WFO7eVHTR95g2bJtjoQjtpkUkyRaqUpdO2IE+20JFIfvcvuaGqMHxcGRC/abHJn+ZQKtls96vDzfUyHJpXKkHqApHCTs2PlVlqcc9uMVLCCFm0MUdDebI6vxUvn7Xeh7Y10Bdd4hUj87Nq3O5bsXiHz2HLZvqqEHItnErCmUeFykj9hTvD4bHHf2maypr/N5RrScHr21xPByZdG/okWzgUCjCJecaeAC4FIWVMmIWQswyCdBzpCzLz/+8cQWW7XC6rZ+Ae/F/K7oNi32hEMER08WNI/YUdxgmbQmCswb4VJVMXWWVxxMTnGGwreVUgvOQgST7q4UQYrYs/qgwjz1ypJkH9tVzui2IS1PYVJTGX11dwZqC1Lm+tRlxKhIZFZxhcBvT6XCUPF2ny7ISTk37VJVr0wJJr28mmRKfDK+i0GNa1EUNDMchRZNpbSHE7JM01Dmyu6aLr79Yyem2IACG5bC3rocvP3mScILCGQuZ6Th0JRgdd1s2PZZFapKsaE+cveG24xC07OHAnJkg43qyPCi80R+kOmrQYJicDEd5rW+A9miUynCExqiBM00fBoQQIhEZQc+RR4800xeJ3URU2RHkoUNNfHBbyaSv6TgOT51o5Y3qLiwbtpSkcceGwgVR+ERBIc+lkaWpdI5pB6kARa7zP6qO43AqHKXRMAjaDh5FIU/XWetzk6trCafJx1IZrE8yNtQ2WrHP77Ud3gyeTz5LVxXW+3xkuqQmtxBiZkiAniOdwbE5xOe19UUmfB3TdvjRG7W8Xt1JdWeQvhH7qJ880cqrVZ3839vXomtzO1miKwqZuhY3ASxDU0nTVBRFYZPfy5FQhE7TwmJwn3KJy0WZ53yd8jPhKKcj59+/sONQaxjYOGzxe3m2d2BCbShtoOjcPU1kv/XIQN5jOxwJhbhSD0jHKyHEjJAAPUfyUr1A/L7QpZkTb9n4z0+e5MnjrQmP7zrbyb0PHuSz11SwsTh9src5rVZ6PQwER+8p9iqwwuseDnIBTWNnip9+yyJiO2TogwVEDMcZ/mFtTND8otUwWeVx41WVmLXuRJrMxOve4+mxHRoNk2K31OQWQkw/CdBz5N2bCnm9qpOO4OiuV2vyU7hjfcGErnG0uZeXzrSPe97hpj7++vdH+aurl3LnxsILut/pkKFrXB7wUzVim1W5x0UgTuvGFE3DpzocC0VoM00M28GvqhS7dcIJsqyjQL/tkKvp1Njxu4mNNdWV5ET30m4Y1EZNoo6DV1Uoc7llOlwIMSkSoOfIusI0vnjzCn7+VgOnWvrx6Cobi9L462sqJjwd/WZ1FyFjYluC+iMmv9hbzzvW5uPW526626OprJ7gnuKDwfCo0XKPbdMXjib8oXUDqZpClstDeMCmzbQmNNV9oXQgzxV7N3WRKEdDkVHT5q1Rk40BLwXSAUsIMUESoOfQVctyuGpZDt0hA7em4o/TYCOZzEn2j67pCvFKZQfXr5z/BVEGLIvWOFPZNgyWTI2TRZ3r0vGeG43vSPFzNhzhVDgaUxJ0iA4TrvUdr7RogUsndczo33EcqiKxNcSjDHbmytd1WbMWQkyIbLOaBzJ8rkkHZ4C3r8tnadbE16sB3HOcLDZRHeMkbi3zuPGfy073KIOlPzf6vaPOaT+XaJaIX2H4GuNZ43VToOukqCqZmspKj5tNY14PoM+y6U0w7d1j2URle5YQYoJkBD3PNPWG2VPbRUV2gPWFaUnP9egqn79+GV959gx13bHNN8ZakevnsqVZ03WrMypN01Ah7hS1R1FY4/Ow0usmZDt4VAVXnFFpv5V8grvXgQpdp1+16TItEq1aK0CJ20W5d/wPN5pCwvtWYbhhihBCjEcC9Dxh2g5feeYUL57poCds4tIUthan84+3rKQgLXakNuSSsiwuK8+i7kBj0uvnBlz82WXlaAtgTzQMJpRlJ9jTXHiuLKqmKKRoib8ePcFU+EhNpsEN6amYjsO+/iCtcYK6AxwLRdkYSPx9GBLQNDI1jY44e6mzdC3uBwkhhIhnYcx3XgTuf6Wah4+00BMenNg1LIc3a7v516dPjfvc1v7E+6bLs3x8dEcJP/zgVq5bkTNt9zsbNvu85OsaQ5P/PkWhwu1imWdia+85E6gsFnKgPhJFVxSWehIncLWZBtYEa3Sv8XlIGVMVLU1VWSMNN4QQkyAj6HnilaqOuI8faOjhREsfq/MT1+fO8CUOLNevyOXPryyf6u3NCY+msiPFT9CyCNkOaZMcga72eQg7Ns1G8r3OR0MR3KqCSeJrhxx4rneAdF2jwuMiN0k2doaucVWqn5qIQdi28WsqS9wumd4WQkyKjKDnAdtx6A3FT4mKmA41naGkz3/nhgICrthvZUGah/dtLZrSvTmOQ2VbP2faBrDnKMHJr2lku/SY4Ow4Dl2mSYdhxr03TVHYFvBzeYov6SdRg8Egna1reJME0SjQZlocCIbpGaecqKYoVHjdrPV7Kfe4JTgLISZNRtDzgKoolGR6aRuILf+Z5XOxtTR5BbDOYBTGBABNgbetyiXg1nlgXz1n2oME3Bp3bSykLMuf4Eqj7avr5v5Xqznc3IdtOazKT+Gjl5RywzzYptVqGJwKR+k+t2bsVxWyNZWlHg9pY6a2M3WdVV43R8OJy6sO2A5v9gfJ0zVqE1QqGxJxoDoaZZM+uQx6IYSYDAnQ88SdGwo50dIfU3jkupU55KYkXrt0HIef7alnIDp6RGc58Fp1F3vrujnS3D/8+ONHm7lldT6OMrjl6u1r81iRmxJz3e5glP/vqVPU95zPDj/e0s//ffY0Jek+VuXHPme2hC2bw8EIoRGj5qDtELQt6o3BILvJ78U9Yh24a5yMbhhsiOFWHNZ73RwLR5MWOQlO4HpjhSyLuqiJAxS5Y/dQCyHESBKg54lb1+YD8PDhZup7QmT4XFxVkc2fXV4Wc+5A1MSwHDJ8LjqCBidb+2POATjVNhDzWHfY4sERGd9/ONTERy8p5WM7l4w679f7G0cF5yFdIZOHDjXx9zetmNTXN52qo8ao4DySA7SYFodDYbYFzs8U9MTJqo6ny7LIcWnjViBzJ2mNGc/ZcJSz4QhDY/iqSJQlbhdr4+ylFkIIkAA9r9y6Nn84UMdT2xXiW7sqOdTYi2HarMxL4e7NRbg1dcIlP8fqj1r8dE8d1y7PoTz7fEBrH0hcy7ojSSeu2RB1xv9a2wyLqG3jVlUcx2GCvTOwgM5xprgBikeU+IzYNkHbJlXTBrd2jdFrWpwOjy79aQJVUYMMXaNImm0IIeKQAL1ARE2bLz52nBMjRstv1fdQ0xWiItvP/obemOd4dZWwOX4w64tY/PFYC3951dLhxwrTE0+rF6TO7XahwARGrybQGDVQFYWqSOIR91hpqopHVWLreo5Q6tIpcLswbJvDoQhthonB4DawQpfOGp9nVDnPumhs6U84N9o3TAnQQoi4JIt7gfjD4aZRwXlI+0CUTL+blbmBUY9XZPvZNk5y2UjWmCHme7cUUZEdm0yWn+LmPZunlhk+VWUeN6kTKLhy+lzTir4J7l8GKPe4KHa7E264WurW2BQYTA47FBps5jE01xByHCqjBm8NhDgbjtB/blrdTrLJy5TSn0KIBGQEvUDUJynlGTIsfvjBLfz+UCONPRHyU93cvamIjoEoLQ8f5Ux7MOm13ZrC1cuyRz0WcOv873es4b5XqjjS3Idh2qwtSOVjl5ROOAt8puiKwraAjxOhKO2mmbBmd2SSsU8FqiMGHkXBo0B4xPMVoNyts84/GJwHm3nEH2Y3mxbNpsXpcJQil4tMTaMmwV2mS6KYECIBCdALRE5K4upZWX4XHl3l/VtLRj1enOHj/vdu5JdvNVLTGcSjwcm2IGc7zgdsBbh1TT6bS2JH28tzA/zXnevxpHppbe0jPUlBlNmWomlsT/FhOQ4v9PQzfiXy8dmQsNFFmqay1nc+oavXspM24oDBafZaw8CvusmNU7Y0Q1Op8E6uI5kQ4uIhAXqBePemIh490kz1mKIlmgKtfVH21HaxY0lmzPPSfe5RlcRChsUv9tZzvKUPl6ZyeXkWt69PnJgGkOZ1EZlHwXkkTVHIcevURyfaOHLQEpeOBXSZFsEJTDP3WDYthknBufXiDE3FBQkbbIzUaprsTPFzJhyl0zKxHcjQNFZ43XGTyoQQAiRALxh+t8aX37aKb71cxYH6HqxzMcVyYE9dNyfb+vnC9ct425rkwdbn0vjEZbFbtxayCo+bTiM20OZoGn2WxdhK5emaymqfh5OhKOFJrAH3WjYF5/7fp2nku3TqJ5DxbTiDHyRW+TyA1OMWQkyMJIktIOsK0/jOezayNE7yVm/Y5IF9DTgXYdJRmqaxNeCj2KWTeq5f8wqPm0tSfGwMeMnSVXTArUCBrrHF52F/MEyNYYy733kk95jB7ka/lzK3C5+qJKniDakLpAe3EGJ+kRH0AtPUG6G6M37S18nWfpp6IxSlX3zFLzJ0jS1xSm/mu1zku1xEbQdVGUwwa44acdtYjudkOIpPU8k/1yhDVRQ2+L1YjoPpOBwNhWkckzjmVaDcLevMQojJkwC9wHhdKl5doz8aG2B8uoYvTtMMAe4R27J6LqBMJwyuN+8bCLPB51AyouWlpihoisJmv49AOEqbaWI6kKKqVHjcZLkkU1sIMXkSoBeYLL+bzSXpvFLZGXNsU0k6mX4ZrY3Hk2QPdaqqELWdmHXrIRZwNhyhw7QI2jYuRaXQpVPsGWwnucrnYZWsMwshpoEMtxagz15TwZq80c0q1uSl8NlrKubojhaWUreLlDjVyBQGE85846wZ9zlQZ5h0WDbNpsmBUJhToUQhXQghLoyMoBegsiw/P/zgZh492kJ9d4iSDB+3r8tHl2SkCdEUhY0+L0fD4eHpbq+isMTtotTjxnSg25p4wHWA2miUco9r0k00hq/hOPRYNqbjkKVr0j9aCCEBeqHSNZU7NxbO9W0sWFkujSt1P22GRQSbApcL17mguNTrxsLhdDg6bjGSIWEHqiNRVvomn6DXbVgcC4fpsgaLggZUlaVuF+VSxESIi5oMuRah7pBBdccAxgUmQw1ETWq7QoQTlLJcLBRFIc+tU+p2DwfnIcu9Hq5M8ZGunX9cAZKlezVPYE/0WJbjcCAUptM6X7F7wLY5Ho7QHJ1IGRQhxGIlI+hFpCsY5SvPnmF3bRf9EYvyLB+3rcvno5csGf/JDHbM+o/nz/BKVSft/VGK0r1cvyKHf75r4wzf+eyIWDZ1hoHlQL5LJ0NPnl2dqutcmRKg2TAZsG0yNI26aJSGBB9cgrZD1HZGZYyPpzZi0B+nvKgFNIyoXCaEuPhIgF5EPvXgISpH7JGu7gxx/6vVpHh07t40fgeq//vcaR450jL874aeMD/bW09aqoePbS2ekXueLbWRKCfDkeEGGpWRKMUuFxv8o1tDjqUoCoUjgqQONBihuOeagIlDvF5YXYZFVTRKn2WjK5Dn0lnucRNK0mkrMokuXEKIxUemuBeJ779WPSo4DzFtePpEa9Ln7jrbwef+cITHj7XEPf7QvgZMe+FWKAtb1qjgDIMj1FrDoGaS08jpukayXl57+4O80R/kSDBM8Fy7yS7D4q1gkEbDpM+26bJsToajHAyGSU3SzSpyEVaFE0KcJyPoReLpk20Jj9V2Je719Jv9DXz75SqCRuLRWlNPmAfeauDDO0oSnjMf9JoWraaJR1EpduvDmdA1UTNh68lWw6TcM/FkLEVR8GgqwQTr+722A7ZFOxbV54K/CnFLijYbJvlJMu8t27koS7cKIQbJCHqRMKzEf8g9evxvs2HZ/OZAY9LgPOSxo01Y83QU7TgOBwZCvNYf5EQ4ysFQmJf7gnScS9qykgS586lZEzfZtyHRu2sCzVbiRDw7yXOFEIufjKAXibIsH/U98UfKV1VkxX38cGMvVZ3x11PHOtsRoqojyPLcAAAHGnr41VsNVHUM4Hdr7CzL4s8uL0OfRILUdDkdjsZ0leqzbY6GIlypa+S6NKqiRtxQnKpOvgynNo1fYrIPPQFNlU/QQlzEJEAvEm9fm8/e2i4iYwZkHl1lWU4Ax3FikqFSvTouTUk6+h7ic6mkeQd/XA419PDFx47T2h8dPn60uZ+m3jD/8vbVU/9iJqnNjL+9qde2aYyaFLt1CnSdpjHnpZ2rlT1Z6ZpK5wVuYRtJAzqSXKfEpSdNYBNCLG4SoBeJm1fn0RM2+fW+eqpHrDlHTJt/e/Y0lR1B/ua6ZaOeszwnwIbCNPbV94x7/S3F6eSlDtaYfmB/w6jgPOTF0+2caOljdX7qFL+ayTGTfL6IODaKorAl4CU9EqXNtHAchzRNY5nHlbCsp+M4NBkmQdvGh4KhDLaNzNI0Clw6VdHJ73keyzr3XyIDtkM0QSZ31LY5GzHosSxUIEfXWepxSUAXYhGRAL2IvGdzESda+kYFaBhcM/3j0Wbes7mQ0szzOciKovDZayr456dOcrb9fAa436WOWpfeVJI+KrjXJJgWD5k2b9Z0zXqATtFU+uIEMp3B7Uww2BpyudfD8glcr9eyOBgMx+165VcUtvo9+FWF4AyvyVdGDVpNi5syRueNG7bNnoEQXSPur9W06DYttgS8EqSFWCQkQC8yp9sG4j7eG7F47lQ7H9s5umjJmoJUfvKhrTx8uInWvggVOQFuWpXLi2faqWwPUpLh48NXVdDVef66KZ7EPzY5gdkvT7nU7abLNAmPiZeFLj3pNqZ4HMfhSILgDBB0HN4YCLNE16iyrQtIMZucfttmf2cf6/Xze7HPRoxRwXlIo2lSbJjkS3ETIRYFCdCLjDvJth1fgr7EHl3lvVtGFyK5aVUerBr8/7FNOK5YmhV3WnxFToBbVudN8o6nLsulsdXvpzpOIZDJ6rasuMFvJBPox2GDz0OjYRKxHQZsO2HGdbaq0DGF0XZbOIoTOL8e3Zsk87vdtCRAC7FISIBeZLaVZnCwsTfm8aI0D7evL5iW13jXxgLeqO7kaFMvwXMLwCtzA3zh+uVz1lEry6WR5fJN+Toh25nQqLjHtLkkxc2Scx8CnunuS9hD2mTwF+1CV63H3o8ap1LZ+WNCiMVCAvQi86eXLuFMez+vVnYylJydm+Lmz68sx++e/Jaise5/tZrHjjbT0hdFUwYD/7s2FHDPJUsSbrEKGxa/O9REVUeQNI/G3ZuKKM6YejCdCbkuHa+iEB6nQMjIQNhnWcSmzJ3XM4HRc46mEnGIu5ae63WPWlfOdWk0x8lcV4FiGT0LsWhIgF5k3LrKf7xzHa9UdrK/voeAW+POTYVk+ae+NvyHQ038ZHct5rkYYjnQ2BvhudPt3JOgIUdrX5gvPHyMYy39w489fqyVv7luGTfPwXT4eFyKQonbxZlIspALma7zvzo1kfh7rCcqXVW5JOCjybA4GgqPCvYpqsqWrBTM3vPj84CioBA7stYBv/QEF2LRkAC9CCmKwlXLsrlqWfa4575V183TJ9uImhbrCtJ414aChNPUz51uHw7OI51sHeCp4628Y11+zLH7Xq0ZFZwBOoIG33+9hutW5OCahwFlldeNV1FoMk26TStmK5RfUVgxoldzdArlOL3AZQEvqqpS7FFJ1VRqowZRx8F/ri90psdN24gJ9DrDjPuBIMpgT+rlXs8F348QYv6YkQD92muv8Z3vfIdTp04BsHz5cu69916uueaamXg5cYG+91oNP91TR/hc1H3saCsvnGnnP9+5Dm+chLKeUOLGEs198auYHW6Mv8e6qjPEC6fb5+UoWlEUyr1uyhkMwi2GQWPUxHAcAqpKhceFb0R2uE+98A8ZYeD5viD5Lp21Pg9pusb6cdpgJmuiEZmn5ViFEJM37cOX5557jo9//ON4vV6++tWv8u///u+43W7uvfdedu3aNd0vJy5QbWeQX+2rHw7OQ3bXdPPj3XVxn1Oc7o37uEuFDYVpcY8l65i4UDpk5btcbAn4uCTFzzq/d1RwBljqduGfQonTKIOj4rcGwhNqjuFL8lqBeTgjIYS4MNP+2/z1r3+d8vJy7rvvPq6++mquueYa7rvvPjIyMrj//vun++XEBXriRCt9Y+uCnnMowaj3PZuLyPTFTrrsLM/ikrLMuM9ZWxi/aElJhpfrV+RM8G7nN6+mstXvI0/XcCsX/kvVblk0G+Pnepe73XjixOg0VaVUksSEWDSmdYrbcRz+/M//nKysLFyu838ofD4fZWVlNDc3T+fLialIMlCzbYeBqIlX19BGjNa2lmbwT7eu5pd766nqCBJwa2xfksFfX1OR8Fp/dukSTrf2j2rKkeLW+OC24rjT6AuN4zjURg3aDAsFKHe7UICTkcn1mR7SY9kUjnNOuq6xye/lbMSg17RQFcjUNNb4PGhSRUyIRWNaA7SiKLz97W+PedwwDGpqalizZs10vpyYgptX5/HAvgb6o7Gj6OrOEHd8bzdZPhdXLsvmy3duAGBPbRcPvFXPqbYBdBWW5QT48PaShIE2GLV46UwHawtSSfe6SPFoZKd4uG1tPuuL0rBsZ9QHgIXGcRwOBMM0jBj1tpgWWapKVpyGGl5FwXIckoVu7wTfjzyXizyXC8N2UBTQJTALsejMShb3t771Lbq7u/ngBz84Gy8nJmBptp93by7il2/VEx3TzaojOBhCesMm1XvrcTSVO1bn8s9PnKRlRJOM5063c7y5j+JMHy19EbL8Lq5fkcP7txZztj3IF/94nMqO8zW+SzK8XL40i5/sqeNkaz+6qrCpOI3PXLmUvLT469vzWathjgrOQzptmxVunXRNo8uyMG0bt6JS4tZpMkzaElQq0xjcDz3EcRzaTZPqth4iIYNSt45/zPq3awF/wBFCJKc4E8lKmYIHHniAL3/5y9x5553827/9W9JzTdNCHyeDVUyvF0+28vjhJsJRi9cqO2iP06Uq3etiU0kau850jHs9TYG/uHY5x5p7ee54a8xxt6bEfCDYXJrOrz95OW59YSU4vd7aw4me+LXPlwQ8XF+YxRttPVT1hYazq+PtXx4p3+vi1pIcHGBXcxc1/eHhEqIqkO7WKfZ7WJsRIOCSXZJCLGYzGqC//e1v861vfYvbb7+dr3zlK+h68j8obW19cR/PzU1NeExM3cnWPv7j+bMcaIgtEXoh8lPdhAyb3vDEi1v+3Q3LuXtz0bS8/mw5GgxTFY0/YV2o62ToGsfDiQqAJnZpwEePZXE8nLhYSkBV2BbwkTbJZiDiwsjfoLm1mN//3NzE3f9mbMjyT//0T3zrW9/iE5/4BF/96lfHDc5ibkRNm3958tS0BWeAlr4oxjgNJ8aq6gyOf9I8U+TWSRQec1warcaFJYr1WibtZrJO0YO9oo+F4u89F0IsDjMSoL/2ta/x4IMP8sUvfpEvfOEL0p92Hnv0aDOnErSovFBeXaU0Y3JryrVdQcxJBvW5lqnrFMWZZlYYXD+OXuDcVEDVsCYwsdVu2hwcCE1o77QQYuGZ9gD97LPPcv/99/O5z32Oj3zkI9N9eTHNWnonPwU7nkyfi/ru2OumeDTcWvwPa69Xd/M/Hz2OtUCKlwwx4tyuA1RFDQIXWGEsW9cmPHVdZ5jUJphmF0IsbNM672yaJl/5ylcoKSlh586dHD58OOacVatW4XZPvXGDmB7LcgLjJi4lM/a5KtDcF4m5nt+l8l/vWsfZ9iD//Vo13aHY9eldZzt46kQrb18bW9N7PnIch54EvZkHbIdil0KXBZFJvLkqg9sVl3vcdJomvRP4wNJqWJRNsfz2gGXRYph4VJVCl44qs15CzLlpDdDNzc3U1Q2WiXzPe94T95znnnuOkpKS6XxZMQU3rc7ltwcbY9ag0zwqNtAfST7tPDZ8JDo7aNj85kATPWEDI17HjXN+s7+RkGFx65r8aWmPOdOUJJ9u0jSNLX6d6ohBn22hoTBg2zHNN0bK0FQ0RUHTFHYG/OzqHxg3wNtT6KXlOA5HQhEao8bw/uyzqsI6n5dsyRIXYk7N+DaryZAs7rnRMRDlay+e5UB9L2HTYnlOgA9uLyYvxc3fPXqchp7pmQZXFZjoDHZhmoc/vXQJ79wwXl2tubV/IBR3L3SqqnJVqn/USLTXtNjVnzgZTgM2+r2jejrvGwjROE75z2UeN2t8FzaEPhuOxs00j3f/FzP5GzS3FvP7nyyLWz4iC7IDbv71HWuImjZRyybFc/7H4g+f2EmPA3/74AH2TTHTezLLy029Eb79chWbi9Mpy/JP6XVn0mqvm37bpmdEgptHgRVed0xw82sqXkUhHOczsQps9HlGBWeAMreLDtsiYsV/8zI0lWUeFwOWRZNhop/rZz3RymKJMs37bJuGqEmpR2p7CzFXJECLYW5djVssZHleKve/bxMP7m/kxTPt9IRMitI91HWFZ3R7VHfI5A+Hmvjra5fN2GtMlU/TuDzFT03EoN+2cCkKZW5XTMUvGCzHme/SqYmT1JWhqRR7YnMzsl06V6ZlcKCth15zcDJbUwZ7UmfqOss8Lk6Ho9RFDYbG2WcjUVZ7Y4N9PPGS3IZEnIWVVS/EYiMB+iLnOA4/3VPPrjMd9IQNSjN83LmpgKuXje40pSgK799azPu3Fg8/9typNr78xMmYlpXTaSBOrfD5RlMUKrwTS3xc7XWPWu8d0m3ZNEUNCuME1QKfh2xNx6dYeBSVZV437nMZ4rWRaEyxlNC5PdI5moZnnPaTKZpKb5yeoBqQI7ULhJhT8ht4kfuvF87y4P7G4TSjmq4QBxt7+dItDtetyE363BtW5uLVFf7XE6cmVTVsMlbmpQCDHyR++VYDL51ppydsUprh5e5NRVy2NGtGXnem1EfNuM0ybKAhasYE6G7T4uW6dnqG16EtmkyTzT4vWS6dlgTr0xEHaqIGK8dZmy53D2aLh8eMpPNdg5XQhBBzZ2EVPxbTqmMgwtMn2mJygPsiJr872DSha1xRkcNvPr6d928pYmNRKityE68Xj10VTR0nS3t9QQrv3FAAwNdfrOQbL1Wyv6GXyo4gL53t5EuPn+Dls+0Tus/5IhxntDokGmdK+WQ4MiI4DwraDifPJXaZSTK4zQnkf2a5NLb6fRToOgFVJV1TWe5xs9m/8JqXCLHYyAj6IvZ6VRedofhJQtWdQRzHmVAVuCy/m89dvxyAvrDJ+368h7aB2OvGfBAYZ/p6abYfl6bSGYzy1InWmOf3hE1+vb+Rq8ZMx89n7iTdp/xjCptEbZuuBCU/Oy2boG2Tqmp0JNjcljXBEXCWSydLtlQJMe/ICPoiVpLhI1EDqVSPfkElWlO9OteumJ6AebS5H4BXKzuHW2COtZBqeDuOQ3OCql8aUDamgI9D4gIyDmDbDhUeFylxKpbl6Rr5EnSFWNDkN/gitqk4jY1Faeyrj90+dWn5ha/tfu665Xh0jV1n2mnrj+DRVbrDk0/2ip5LPitK96IpEG+n0cgtYfNdu2nRlWCvmVeBTNf5EW/IsqiKGKgQt7BJhqYS0FQURWF7wMvZSJQe00ZTIEvXWeV1Sw18IRY4GUFfxBRF4e9vXMHGojSGZl4Dbo23rc7lL68sv+DraqrCzrIM0rwuIpZzQcEZYHXBYILY1pJ0NhSlxT3n0rLMC77PmWA7DjWRKPsHQhwKhmgbsc+43078Pjgjgmm3afH6QIjKONneAG5g+YgAnKJpbPL7uDotwBWpAdb4PFJgRIhFYOEMP8S0MW0HTRkM0OXZAb7//k28VtVJXXeIHaUZLMtNiXmO7Tj84I1aXj3bMZhFnenjro2Fcaezm3rC/N2jxxiIXvj2K6+mcMvKXB4/2syrVZ30R0xS3Br959atfbrKlcuy+Murll7wa0w3y3HYMxAa1SqyLmpS4bFZ4/OQo+voRImXdz1y/flUOEIwzkhbB4pcOuUeN2mSYS3EoicB+iKyu6aTX+xt4HT7AB5NZUtJOp+9toI0r4srKrKTPvffnzszKrO7vifMkaY+HGK3Y/3NH44kDM4qg1uKsv0ufC6N+p74PY1dusbfPXY8ZlpbVWDHkgw+fdVSVucnLpE3F86GozF9nB2gJhKl2KWTdm5deGxpUJ3BimEApm0n7AVtAsUe14wGZ8dx6DAtOk0LjzpYlUyT0bgQc0IC9EXiaFMv//TEKdoHosOP1feEaeoN8//eszHplGhzT5jnTrXFPD60HWtkgG7sDlGdJHFre2k6d2woZGtpOvc+cDDheX2R+Pt7bQeqO0KUZPgSPneudCXobGUCDYZBmq6xye/FE4rQZloYjkNAUylzu4b3P1dFjIQNR2Bm16Qsx2HfQIhW0xpOTquOGGzweclyyYhdiNkma9AXiV8faBwVnIfsq+vhhVPJ9xK/dKo1bntIgNrO0Kh/v1nbTbLCYivyUrhlTR57aroTjp7H09If4dXKzgt67pw5F/FURWGt38s1aQFuSAtwWYqfohHFSToSBHkYTCTLGFNC1HQcaiNR6qNRrHP7ni3HoSoc5cBAiCPBMN0JRuRjHQ9FaBkRnGGwJvfRcJh51FNHiIuGjKAvEg0JgqENnGzt54ZViauGlWUH0FXiBt5U7+gfobJMHxrxM49dqjJcKrSm+8K3R6kK5ATmX0/xTE2jLU4w1CBuCc94WdZWkkCYqWmjnlMdjnI2EiV07jmn1ShLXTqNpkXniOYd9VGDlV7PuOVIOxIE8h7LptUwyZ9AbW8hxPSRAH2RyPQl/uOak5L8D/fOpVlsLEpnX31PzLHLx5Ta3FKSzqaS+OfesiaXgrTBClW9CUbkE7GuIJWtpekX/PyZsszrptOyRq0hKwyuLycqm+k4DjVRgxbDxHAcokkC9NIRAbbTMDkRjoxKOBuwHY7FmSI3gePhCLXhCAFdo2TElPro8xK/drwOXEKImSVT3BeJm1bl4tZiR2wV2f5xey4risI/3LSCzcVpDF0i1aNx27p8PnlFecy5/3jzSraXpuM699OV7tW4c2MB/3jzquHzUpKU+UxUPAVgRW6Az123fF7u8dUUhUsCPtb7PBS7dErdOjv8XtYmKZt5PBThyLk16W7Ljpu9DVDs0ska0byi3jDiZoMnWl1wgH6gxbQ4GAxTG4ld7kiNU/AEwAUUSOMMIWad/NZdJG5enUdTb5iHDjbR2BtBU2BtQSqfvaYCT7KIeE5Zlp/vvm8Tb9Z0UdcdYmdZJksy49fdLs308Z33buJAQw81nUF2lmVRkDa6aUNxkiSvrSXpuHWNQ4292LZDcYaXFTkpbC5O4+3r8nGN06FpLqmKQrnHTXnyHhXAYDGS+gSVxXyKgltV0BUoSw9QaDqEbZuI7ZCqqRhTaCBmMthIo9TtGvVBp8LjpscKEXFiz68zDJZrE/iihBDTRgL0ReSjlyzhfVuKeb26i0y/zqai9EmNRBVF4dLyLC6d4Pmbi9PZXBx/KnprSToZXp3uMV2wUtwaH9pewuVLs+kLmxxs7KG1L8olZRnzMnN7KppNk9hx7CBVgatSAwD4U328VN9Bu2lhAQFVxTvFCYQ+yybiOHhHfP9zXDoFuk7NmG1gDoNbyApdOoE4fa6FEDNDAvRFxuvSuG6aamVfqObeMF945FhMcHZrCmXZfl4620k4avHbQ00cbOglajmkeTSuXp7DF29agT6PR9CT4VYSfx36ud5fjuOwq7mblhHr2gO2zQCDWd1j20SmKqCqKj1W8iG2SwH9XHC2HYfaqEGnadFhxs8NMBhslbnKJwFaiNkiAVrMup/uqaOyIzaLO2o5HG3q42hTHw+NaXfZG7F47GgLmT4Xf3VNxWzd6owqdOmcUVX64rSgzD6XVNZmmLSE44+zvYpCtq7RbVkoKGTqKis9HlyqQlUkSq9p02XF9noeur6uKNiOw95ze5/HYydJIpuoukiUuqhByHbwqAoFLp1lHqkbLkQ8EqDFtNlf383euh6yAy5uW1uAO8Ha9tn2C99i9Vp156IJ0KqisNbn5kgowsC55DCFwU5Uq3yD6719duKwaKGwJRB/2n+Fd/D5QctifzBM14gRdbamsc47mLhWEzEmFJw1oNA1tW1WNeEoR8OR4US2kOXQbUUxbIc10n9aiBgSoMWURU2bf3z8BK9WdhA9V5vzgbca+bsbl7O1NCPmfN8EktIS6Q2Z2I6zaJpB5LpcXK3r1EUNIrZDtq6RM6JNZLqmDZdHHcubpLf0EL+mcXmKn2bDpN+2SVNV8lznW4l2GBPb7laSZKvYRDiOQ50Rv0pag2Gy3HFwLZLvqRDTZXEs5ok5df+r1bxwun04OMNgn+b/fOEsVpxtQ2sLYptxTFRppm/RBOch2rnM71U+z6jgDINT0YX+2H3qGlA6wcIhiqJQ6Haxwushf0TmdmU4SluSymU+RaFQ19ns87LeN7UMbhMYSLAuHnYcuo0L63gmxGImAVpM2Z7a7riPn2ob4IXTg2VEHcfBtGy+8VIlvxmzvjxRLhXetbHgQm9zQVIUhavzMyly6XiUwcCcrqqs83lGlQidrKaowYlwJG7FNxicat/k97ItxUeJxzXlNWKNwUpy8eiAP84efSEudjLFLaYslGT009IX5v8+e5rdtd10DETidrlya8qo0XciS7P93Lomf0r3uhB5dY2tAR+m42A6Dh5FmXLAbIiaSZtylLldMaP5qVAVhTxdpzrOvu9sXZPtW0LEISNoMWXLcgIJj/3uYBO/PdhEbVcoYQvKqOWwJj8laQUxgLquMCda+qZyqwuarih4VXVaMp6jTuLwXKhrrJvilHY8a3weilz68KhABXJ0jQ0+SRATIh4ZQYsp++C2YvbUdtEXiR1J13VPrGPVJWWZfOGGZTx1vI0H9zfGPSdk2hxo6I3pA90ZjPLI4WYMy+G6Fdksz538GrftONgO6BNIvJovHMeJG6yjts2JcIQu08bGIV3TWO5xj+oj7VVVSLAmXOCe+pR2PJqisDXgo88a7DedpqlkTrKEqBEJ09vaRCAzG29K2rTfoxDziQRoMWWbitNZnhNgf0PvBT1fU2BzcRobCtN5rbIr4XkKsDp/dPD93YFGvvdGDR0Dg1OnP99bx9vX5vO3N0ysXndbf4Rv7ariQEMPpu2wKi+Fj+4oZXPJ/GvGMaTNMKiKGPRZNpqikKNrrPF50BQFx3HYOxCm0xpZ2MSk27K4NODDf24qudztosMwiYy5dpamUTSNU9vxpGoaqZOc0nZsm32P/IrqfW8w0NmOyx8gJTOH4vVbWLbjStILimfoboWYOxKgxbTwuy/8R2lFbgpXnOuK1RdJvO0nzauzuTgdx3HYU9vFmfYgP3yjhp7w+WAUNGx+e7CJuq4QX79rfdKqY6bt8HePHONQ0/lp87b+Ts60DfCNu9ZTkWTqfq50Gib7g2GiQ0v2jkN/1CZo2+wI+KiLmqOC85Cg7VAZMVjvHwyMWS6djQEvVRGDHtNCVxSydI21Xs+8LBpy8ImHOPrsY8P/NoIDdAUH6Gqo4eRLT7Hi8uvYftc9c3iHQkw/CdBiWizPCfBqVecFPXdLSdpwUBg7fT3SVcuyOFDfw9dfquR4c1/SJKc3a7v57EOHSfe7OdvWT9i0yUlxs74gjXt2lJIdcPPHo82jgvOQ5r4ID+5v4O9vWnlBX89Mqo4a54PzCG2mRbtp0ptk29TAmIpl+S4X+S4XluOgwLzdvuY4DrUHdyc8boRDHH/xSbKXLGPp9stn8c6EmFmSJCamxUcuKWFtfuza786yDDYXpZLsT3/6iF7Vt67JIz81fn9qw3L4P8+c5ug4wXnIm7U9PH2ijbMdIRp6Ihxs6OMXbzXw6d8eoqk3nLSiWUPPxNbOZ0LUtjkZinAoGOJUKEJ0xFpxMMG6sQN0mXbSYh+JjmmKMm+DM4BlGIR7Y/uLj+TYNnWH987SHQkxO2QELaZFmtfF1+9az8/21HGspR+XprK9NJ0PbS9FU+D7r9Xw3Tdq4z434Dq/Hmk7TsJ2kq9WdtIfnXpBizPtQX70Zi1FaYmzhzN8UytreaE6DZMDofCovtAtde1s8LjJ0LXBvcQJPp14VZV8XaMuahB2Rg+zVZjxteWZorlc+DOzCfcnz3Ewo2NX1IVY2GQELaZNpt/NX12zjPvfu4lv3b2Bj16yBF0d3LP7J5eVkemLHyAeP96KfS6gdAUN2vvjN4eYjuA85ERLP+/eXERJemyQ9rtUbl07N/utT0Yio4IzQI9hcjI0GHwKXHrc2YhUVaHErePRVNb7PKSo53+1VQbLgvbZNpbj0G1aHA6G2T8wOEI3nak3wZhJiqKwdNtlkKT7F0Bm0ZJZuiMhZocEaDErGnrC9ITiJ4CdaR+gtW8wAGX4XOSmxN+Dm+qNH5wuhK4qpHh0vnjLCtYVpA7/IizJ9PEXVy4dTlqbTUHLpsuMPzzusiyitkOZx80yj3tUP+gMTWWj73wJ1AK3iytTfKQMtZNkMEnsZDjKy30DvNEfpCZq0GCYnIpEea1vgGCStev5YO0Nt7HltveSXlACcabjs0qXsvb6d8zBnQkxcxbmnJdYcFI8Gn63FncUHHBpBM5lgbt1lWuXZ/OzvfUx5924Iof6nnDC0qIjaQokK042tO69vTSTH30wg331PQxETHaWZ+GZQjOPqbAdJ+HaugM4OIDCap+HCo+LFtPEq6jk6FpM5nVd1KQ/zsi4P05t9F7b4VQkymZ//M5Y84GiKGy45Z2su/E2gj2dnHrlOdqqTmGbJtlly9hwy7vwBJLvfz/zxktUvfUa4d4eAlk5LL/sWpZs3B5znuM49LQ04VgmGYUlKKqMY8TckAAtZkWW383W0gx2ne2IOba1NINU7/kfxb+8aimW7fDC6Taa+qKkuFV2lmfxhRuWEzYsvrmrin31PQlLhwLkpXpo7x9sZRjPuhENOxRFYVucrluzLaCpZGgq3XESwTJ0Fc+IQOFWVUrd8ZPpYHDEPRndCUbu842qaaRk5bL1jvdP6nlHnnmEA3/8DbY5OIvT1VBD8+lj7Hzvx1l2yVXD5zWfPsaBx35NW/UZHNsme0kF62+8ndybb5zWr0OIiZCPhmLWfP76ZWwqShueplaBLcXpfO76ZaPO01SF92wpIj/Ni6ZAf9TmtapO/tfjJ/DoGl+8eSW/+5MdfOvuDXgTjHaX5QS4oiIz7jG3BjvL4h+bS4qisNzrxj1mBtevqSzzJA7G8cgv9nmWEeXM6y8OB+chZjjEyZefwTk30xDu6+G1n99P69mTOJYFjkNHzVne/PWPaKuumotbFxc5GUGLWVOY5uW779/EC6faqe4Ksiw7wDXLs4enZ2u7gjx8uJlg1GJfXTeVnaHh54YMm2dPtZMVOMsXrl9BZzDKK5VdZPpcNPWNzt5N9ejcubGAFLfOocY+OoOjGzTkBLzkJFjnnmsFLhf+gEpN1CBs2/hUlS0FGRi9k9v2VeDSaTBMJpr+lTFH0/qzoa2mkt7W+B3UeprriQYH8ARSOPHSU/R3tMWcE+7r4eCzT7DpnVIIRcwuCdBiVqmKwg2rcmMef+hgE995tYruBIlkQ96s7mZ3TSf/++nTNPaeD8y6qhBwayzLCfCezUVcvSwHgH+5dRVffvIU7QPnM8Mbe8N89qEjfOOu9RQk2Wo1V9J0jQ0j6mZneFy0MckA7XZRblrURo2ELSWHKMCKKbSunM+OPf84J19+NuFxl9ePfm6pIJRkr/VAT+IStELMFAnQYlYFoxa/O9hIe3+U0iwf71xfQChq8YM3asYNzjBYCvT+V6tHBWcYLNu5oSiNr925ftTjLk2lJxzb4rCyI8hP99Tztzcsn9oXNI+t83spdrtoiho4jkOdYRL7TgwmoAUdmH+FTafmzBsvsu+RB7DNeF/1oIIVa9FcgwFaSVIfXHMtzg8wYn6TAC1mzaGGHv7+seO0jtjn/OjhZnaWZ456LJm8FA/HmvvjHjva1EcwauF3D/6hdRyHhw42YSRI5z7TFv86i0mGrpGha9iOQ2PvAEaCPc/a/C0kdsEq97ySODgrKkWr17Pj3R8FBn9WOusTrzOf2fMG3ow8Nt1690zcqhBxSYAWs8K2bf72kWN0jFkPPtbST9sEgzPA5eUZnGyNH1gtxxkueBI2LP7+seO8Vpm4PrjPpfHSmXb+eKyF9v4oeake3rm+gMvmYA/0TFMVhUxdpcmInfDO0FQyJ9ldaiEIdieell5x+XVc+v4/Hc5/aKs+Q0dt4gBtRaMcffYxStZtJXvJ0mm/VyHikQAtZsVPdtfFBOchbQMTD9Bet8aqvBROxAnSa/NTSPEM/kh/a1cVryQJzgB+t8b/evwkwaGg1dTH7ppuvnD9suFKYmHD4tcHGqnpDJLudfHuTYUUZczf/cLJrPZ6GLBC9I7YeuZTFFZ53fOyg9VU+TOy6G2J7S2u6jpLt18+6msO93QNZm4nYUbCVO59VQK0mDUSoMWs2FuXvNnBRD16uIVPXVnOfzx/hq4Ra9YFqR4+vvN8qcc9dd0Jr+HWFG5encfJlr7zwfmcvojJrw808rY1eTT3RfjCw0c52TowfPzxYy18/vrl3Bgn0W2+C2gaV6QGqI4YDNgWHkWl3O3Ck6Ql53gsx6E6EqXbtNGUwezxgnmScFax40raKk9hGaM/AOavWEvBirWjHitcs5FAVg4Dne1Jr+mY4+dJCDFdFu/eCjGvBDyJPwuqkxi81fWEsWyHb969gbs2FnDJknQqsvyk+TR+9GYtD+yrx3Ecwknqdn90eykfvaSEMwm6WZ1pG6CtP8p3XqkeFZwBOoIG33+jBjNBV6n5TlMUlnndbPT7WOXzTCk4m47Dm/0hjoejNJkm9YbJW8Ewx4Jz1wlspOWXXsOWO95PRtESFFXFk5JG2dbLuOqjn4451+Xxsvyy61C0xD+niqpStHbjTN6yEKPICFrMig2FqbxwOv7oZHmun1OtiVs/jnW2fYBb1+bz3i0qn//DEep7hjK6g7xR082D+xqxE+wAzktx8/5txURtB59bIxgnkPtcGl5d5XBj/O5JZ9uDvFrVyTXLcyZ8z4vRmXCUzjHTwg5QGzUocbtI0+d+XXvtdbey+uqbGejqwOMP4PYnzlXfdOtdBDKzqdr7Gm1VpzAjoz9olG+5lOJ1W2b6loUYJgFazIr3bSnm9equmDral5Rl8B93rOXLT57k9aouQhMoOZkTcGPZDl987PiI4HxefZJezrqq8L+fOcV1K3LYUpzOq1Wx69RbStJI9erDCWfxGAt0BD2duhOs2ZpAo2HOiwANg+VBU3PyJnTu8kuvYfml12BGIxx99jHaa8+iqhortm2neMtVcdfqHcfBjITR3R6p2y2mlQRoMSvcusrX7lzPL9+q43BjH6qisGNJBu/eXISmKvzfO9ZxvLmP3TVd/HRPPb2RxGt9ZVl+vv7SWc52THzUrSpgO9DYG6GxN8LLZzu4bX0B6wpSOHpu25YCbCxK5XPXLkNRFNYWpMbstwYoy/Rx1bKLe/Q8noWecqa7PWx6+/ktVbm5qbS19Y06x3Ecjj3/R6r2vkp/Zzu+1HRKN2xj8+3vQ5VALaaBBGgxazy6ysd3liU8vqYgld21XUmDM0BNVzDhdHkiY3tmGDa8eLqDn354C/vqe6jrDlGR7eeGlbnDbRs/cVkZZ9oGqO46X3I01aPzoe0lc9bxaj7J0jTazdhRtA4UuRf/n5ajzz3G/kcewLEHZ1OiA/30NDdgRCPsfM/H5vbmxKKw+H+LxILSHUpc9Qkgw6dTlOajpW/iW7MS6QoZPH+6nQ9uK4l7fFlOgPvft4lfvdVAfU+INK/O7esK2FCUNuXXXgyWed10WRZtI4K0BlR43KQuwn3VIzm2TdWeV4eD80i1B3az5bb34vb55+DOxGIiAVrMKytzk/f0vWFlLhuL0sjw6RMqDToeXVX40Zs1tA8YlGX6eNeGQtwjRsfZATefvlr2vcajKQo7Aj7qoyZdpomqKBS5dbL1xf9nJRoOMtAZ21gDINTTRWdDDQXL18zyXYnFZvH/JokF5ebVefzhcBP76kdnULtUhXdtLODz1y9HVRQuK8/iieOtU3qt/FQ3v3qrflSi2WNHW/i329ZQnOGjO2RgOw5Z/sm1epzPbMehPmoStm2ydI0c19T+BKiKwhKPiyWe+bH3eba4PD48qelEQ7F5EG5/gLSc/Dm4K7HYSIAW84qmKvz7Hev41q5K9jf0EjUtVualcM+OUjYXpw+f9w83rcB24PXqTnrDJmleHa+u0hmMMoFEcNyaQihq0RIZvYZ6vKWf//PMKXRN43BjD5YDa/JT+PjOJewsy+RIUy9n2wfYVppByQKrKNZlWBwKheg7tyCvRCBP19ga8KEtwkpiM0nVNErWbeF4nDaWRas34s9YfOVixexTHCfJXpJZNjZLcki8DEoxe+bq/T/S1MsPXq/hZNsAqgIbi9L5yyvLKR4RGNv6I1R3BlmREyDD7+ZoUy+/PdhEU2+YdK9OTUeIs50Tz/aGwcYRY/tr5ARcFKV7OdHST9RySPNoXLUsm3+8eSX6FIp9TMR0vP+O4/Bqf5DuONvDyt0u1vvnX9vN2eI4zrilTuN9D2zL4s1f/4i6Q3sJ9/Xg9vkpXL2Byz54r6w/T7PFHANyc1MTHpMALcY1F+9/Y0+Iv/jNIRrG7HNelRfg/vduQlUUfC513D+sYcPiwX0NHGnu53hL77Qkl420sTCV731g83Dm90yYjve/NWqyOxiKeyxVVbkmbbE1m0zOMgzeeviXNJ08ghEKklFQwuprb6Fk/da45yf7HoT7euiorya9oISUzOyZvO2L1mKOAckCtExxi3npgbcaYoIzwMnWAd71g90ozuB+6Ds3FfCOtQUJr+N1aXx05xIs2+Gd339z2u/zUFMfX3vxLJ+7bn73lQ47ief9zfnzGX3WvPyTb1N7YPfwv4PdnXTUVXLlxz5D8ZrJlfP0pqZTvGbTdN+iEFKLW8xPDb2Jq4H1hEy6wyYHG3v592fP8uzJ+Nm0IzmANXYzdBzuC2iM/OzJNnpC0zsyn275uo4nwZeWOsNT9PNNe/UZ6g7vi3k8MtDPqZefnYM7EiK+i+s3UywYmb6JZQUHDYtHjjSPe56uKhSmesY/D4fJ1iBpHzA40BC/bvd84dFUStyx2ehuBZZeZBnYdccO4Fjxt+h1NtTM8t0IkZhMcYt56Y71BTx/uoO+caqKAZxo6ePjv9xPW3+E/FQvb1uTy3s2FwNwqKGHX+1r4Gz7AH2R5P1+AYLjnxLDp6uULoCM7tVeN35VodkwidoOAW2w3WTWFLdaLTS9zQ0Jj41tkCHEXLq4fjPFgrGxOJ3PXlPBL96qp3KcmttdIZOu0GACSUtflOPNvUQMmy0l6fzDY8dp6Z+e6WddVTDjTJOneXW+/XIV2QE379pQwLrC+VlpTFEUyjxuyjyLZ1/3hfD4ExfDiQz08+aDP+SS93xMGl+IOScBWsxbd2wo4O1r89hT141bU/juq7Xsa+gZ93mGDY8fa+V4S/+0BWeAq5dl49VVXq7soC9ioSmDhTpa+qO09A92xXrxTDufv24Zt6yRQhXzVWpu4qRCHJuTLz+DLz2DjW+7a9xrhfv7OLnraaLBfjIKS1l26TWoi7zMqZg9EqDFvKZrKpeVDxZ9+PLbffzbM6fZX99D2LTJ8btoD8av3V3dFaShJ/62oguxPMfPX1xZTlmWn7quIHtru/nmrir6x/ST7g6ZfO2lSq6oyCbFI79e89Gqq26icvcuuhpqE55Td3jfuAG6/sh+3nzwhwx0nW/ccubNl7ju3s/jCQyO0sfbBihEMvIXRCwYhWlevnn3Bt6o7uTBfQ3Ud4cSBmjLdjDGVhu5ALqq8JEdJdyzo3Q44JZm+vn3Z8/EBOchHQMGf/qrA3znvRsXVZnQxUJ3u7n6Tz7Lrh9+PWGQjg4k33Nr2zb7H31gVHAGaKs8xR///YuAg6Kq5C1dyZY73kcgU9qTismTRRaxoFR3DPAfz5/llaouqrsSJ/RMYEfVKOne+J9Vd5Zl8OdXLh01GjYsm7fqk0+1V3YE+cHriUdoiZxq7ecbL1XyH8+f4eWzHcyjOkKLSnp+IVf/yWfRvfGT+1Jyky9R1B/ZlzC4D3S2MdDZTn97K5V7XuGF7/4XZnR+b8MT85MEaLGg/GRPPTVd0zd1PeTmVbmUZIwud7k0289fXBXbyaqqI4gxgU8Ax5onV/noh2/UcO+DB/n53noe3N/IFx4+yj/+8cSE9m+LyUvPL2TJxh0xj7t8PlZecUPS5xrhif8MdtZVceTZhyd9f0LIFLdYUE639U/7NdM8On9y6RLuvbyMX+9vpH0gSmG6h/dsLo67jpzpd6EC4/XkmEwS8Nm2fn62p56BEdPmlgNPn2zjp69Xc9tKmSKdCZd/6M/wpaXTcOwg0WA/aXmFrLzyRso270z6vLylK1E1Ddua2L68k7ueZf2Nd6C7x9+LL8QQCdBiQfHo42fIKgxWDosnXiOM3ojJp359kE9dsZR7rygf9/q5KR6W5vg52558+9fGSWy3evx4a8I17dfOtEuAnkaObdN06gjRgQGK129h27s+yLZ3fXBCTTO6GmvZ9/CvaD17csLBGSDS38uJl55m/U23T/X2xUVEArRYULaXZnCoMXHVLl0labvJRHljNV1h/uuFM2wqTiM3ZfxRztfuXM+nHjxAY2/8tcVtpen82eXl415n+L6STGNPZDpdTEzz6WO89ftf0FFbCUBKdh4rr7yR9TfdPm5wNqMRXv7xt+lurLug1+6SKmVikmQNWiwon7hsCdcuzx5VjjPDq3PdimxuXJUzoV7QibQNGDx0MLa/bzyFaV62lGTEPJ7i1vizy5bw7bs34HdPfD/sFRVZCeuAby6NfR0xeUYkzOu//N5wcAbo72jl4OO/pWZE44xETr7y7AUHZwBXgoQ0IRKREbRYUFyayr/fsZY3qrt4q76HVLfGnRsLSfO5+NmeOp492R73eW5NITqBbVfdIYP67hA5ATdel4ZpO/xkdy17aruJmjYrcwPcs6OUrpDBc6diX6s/atHeH510j+gdSzK5eXUefzzaMmp6fnNxGvdeXcHANO7pvlidevlZ+tpi67ZbRpTqt16jbPMlSZ8/0Bn/Z2uYokCSrPull1w1ofsM9nTTcHQ/gewcCleul73UFzEJ0GLBURSFy5ZmcdnSrFGP37Aihx/vrqM3HFu/O8PnonUCVcWeOt7Cbw824dVVlmR6yQ54eL26a/j44aY+9jf0snNJBuEEw/Uz7QOT/IoG/a9bVrKpKI03qjsxbIc1+al8aHsJfrfOhV1xenQYJvWGMVi/W1VZ6nHhW4DVssL9iZdGIgPxkw8bjh3k+ItP0tdSTzSS+OfH7Q8QDSb+Lrk8XnLLliW9P8dx2PO7n1G99zXC/T0oqkpu+Qp2vu/jZBaXJX2uWJwkQItFoyjDx+3r8nlgX8OotebyLB87StP5zcHxu171RQeDbti0OdUWhLbYRLDKjiCpSaqEHWnq4+b7XuP65Tn87U0rUCc4AlIUhXdtLORdGwsndP5MqApHaTIMIo6DT1XxAs2mxfmPPBYtpsk2v4+0CSTszSfJglxKTl7MY82nj/Pqz75DuC/5nndVdyUNzgDZ5SuGS4DalkXr2ZMo2mAhk6Ga38ee+yMnXnxi+DmObdNaeZLXf/k9bv3cv0ht8IuQBGixqPz1NRUsyw7w0tkOBqImS7MDfGhbMdkBN5UdoZgCI25VoTjDQ2u/MWqL03hquoIJE9IcBht4/O5wM7U9Ie57z6YpflWz41QowqkRo8QBO/77MWA7nApH2Z6ysNZUl267jNOvPkfLmeOjHg9kZrP6mltizj+56+lxgzMMViaLmvEr2gF4AimsvvZmACr3vsqRZx6h+1yRk6wlFWx++92UrN9K3eG34j6/veYstYf2jjsFLxYfCdBiUVEUhds3FHD7htiGCF+/az3f3FXJY0dbCBmDkTVqOwQNh+AkgjMM1tyeiLdqezjc1MOGwvRJXX+2WY5DvZE4yIzVbVkT2pY0nyiqyrWf+B+89fAvaTlzAsuI4g6koLvcvPHAD0jLLWD1NW8jp6yClrMnqD+yb0LXtZK8b+kFxWy/+yMUr9lIR10Ve37zEyIjyoh21lbyxgM/4G1/s4RIMHFhm/6Otol/oWLRkAAtLhpel0ZDd3g4OA9p6YvgUge7YE03G3jlbOe8D9C9lkVwEtu51IUTl0fxpKRy+Yc+ieM47H/0QY4+9xjOuf3M7VWnaT51lCvu+XP2/O6nWMbEynMm+pDi8vm59s8+R3r+4JLF6ddeGBWchwS7Ozn58jOk5RTQ0xTbq1r3eClYtW6iX6JYRGRRQ1w0ukNGwj3U1gwE5yFuff7/mnkVhcmsKGdq2oIaPY8VGejn7Bu7hoPzkGB3J2/9/heT2k6VWVJGRmHp6AcVleU7rx4OzgCRviRJav29rLzqpuEuWCOVrN9Cdkn5hO9HLB4yghYXDcdxElYYUxS4bEkGu2u7RyWYJatKNhFeXeXOOUz6miifppGja7SYsVP9Y8uapmsqq70Lu0tX7cHdhHq74h7rapx4kxOXz8/a699Obvlyjj77R7qb6tG9XkrXb2XZpdeMOjeQlbgaXGpOPsVrN3HFPX/BiZeepKelEbfXT+GajWy5/X0Tvh+xuEiAFheNTL+btQWp7Kntjjm2tiCNb9y9gebeMD/bW09fxCIvxc3Dh5voCY+/Pq0AmqJgjtgH69YU/vqaigXTcnK9z4sVDNNhWTiABuToGqu8bhoMk6jjkKpqlHlcaAt49AzgTU285ODYiadT0gtL0F1uIgP9pOUVsOKKGynbPNhwY8e7P5L0Nddcdyt1h/bS194y6vGMotLhJLWS9VsoWb9lol+GWOQkQIuLysd3llLXFaK5LzL8WE7Azcd2lqAoCoXpPv72hhU8cqSZZ060Tnjq24Hh4OzVVa5ens1fX11BXurCaY7g01QuTfXTbpj02RaZmk7Gua1Uafri+lNRun4rWaVL6ayrmvBzfBlZXP6Be8mtWHFBrxnIzOaqj32GQ089REdNJSgKueUr2HL7e6XKmIhrcf3WCTGOHUsy+c57N/Kb/Y209EfICbi5e1MRS7P9w+f8+M1avvd6TcLKYyO3V8WbAg+bNpqiLKjgPFKOSydnkf9pUFSVHXfdwxsPfp+e5saE57l8Prwp6RQsraDishsvODgPySlfxvWf/MJg5reioC2yDz5ieslPh7jolGT4+B/Xxa/qFDYsHj7SHDc456W4+dglpdy4KpfnT7dzqKGXx4+3xr3OZHtBi9mXv2INt/3Pf+PZ+/4vLaePxT2nZN1WrvrYp8nNTaWtLfH3tKelkVOvPk802E96fjGrrr4Jl8eb8HzN5Zry/YvFTwK0ECMcaeqlvjsc91hfxOTWtfmkeHTu3lSEz6UlDNALdRvSxUZzudl+9z089fV/wQyPrneuaBpZpUvZ9cNv0lVfhe0wOCV9x3sJZJ5P+Dq7+2X2PvQzIv3nA3j1vte57t7PEcjMnrWvRSw+077/48SJE9x7771s27aNTZs28eEPf5jdu8fvFCPEfJCSpAOV7YBnxJapG1bmsiQz/trhhqL5ve9ZnJddUs6mt92FJyV1+DHd62X5pddy5vXnqd73Oj2tzfS1NVO552Ve+O5/YUYHcxgsw+Dwk78fFZwBOuuqOPDYr2f16xCLz7SOoGtra/nQhz5ERUUF//Ef/wHAgw8+yJ/8yZ/wi1/8gk2bFkbJQ3Hxqk0weobB9WZ9xNDYo6v86aVL+PqLlXSFzleTWluQwqeukOYGC8m6G2+jbOulVL65C9u2KNtyKVV7Xom7Pt1ZV8XJl59l3Q3voObAm/S2xm9R2lZ1evj/uxrrOPnyM4S6u/BlZLLyihvobWkkEuynbPMlw1nltm1jmyaay7Wg95mL6TGtAfq+++7Dsiz++7//m6yswU5DV1xxBTfffDNf+9rX+PGPfzydLyfEtEv36gn3PucEYrdLvX1tPusLUvn9oSZ6IyYVOQHu3liI17WwGkkISMnKYeOtdw3/+2BbS8Jze5sHK34l25LlnMvqrz+yn9d/9V1CPd3Dx06/+jzOuVrnB594iOU7ryISDNJ88jDRcGhwHfuqm1i6/fKpfEligZu2AO04Ds8++yyXX375cHAGcLvd3HzzzfzsZz+jt7eXtLS06XpJIabdjrJM1uSncKwltv3g1tL0uKOaJVl+/vra5K0ExcLjCQQSHnOfq/hVtmUnh554KGZvM0B2WQWO43D46YdHBWdgODgDhHu7OfLMo6OOt/afoKuxBs3tJmdJBbZtE8jMllH1RWbaAnRjYyN9fX2sWBG7DWHFihXYts2pU6fYvn37dL2kENNOVRT+6poK/s8zp6jtGpzuVoCtJen81dUVw+cZls2D+xp4o6aL1r4IJRk+/vGmFWSlLMytVSLWskuvofqt1zHGJI/50jJYeeUNAOhuD2tvvI19D/8KIzS6NWlPUwOnXnmWjtqzF/T6RijE67/4b8xoFMexySlbxoZb3kXx2s0XdD2x8ExbgO7o6AAgMzMz5tjQY0PnCDGfbSvN4Of3bOOhg410DBisyg9w06q84b7Opu3wtw8f5ZWq86UiqzpD3P793fzNdcu4e1PRXN26mEZ5S1ey7V0f4uhzj9HXNthLPL2whI233kVqTv7weauuvJHMwlJe/P7XRrWn7GqoYfdvfszgR7wLExk4P5PTevYkr/3ie9z8V/9Aen7xBV9TLBzTFqCj0cHOL2537Dqd69yev3A4cQIOQGamHz1BE/jc3NS4j4vZcTG+/58tyoj7+C/frBkVnIdELYdvvlTJ2zaXUJ6TeHr0QlyM7/98kHvnu9j5jrdzes/raLqLZdsuiVtcpPVYT9ze0cnWqC9EqKeT2r27uP5j91J/4iiHnn2S3rZWAhmZrL3qOpZt3zmtrzefXIy/A9MWoD2ewak9I05v1KHg7fMlL2fX1RWM+/h4RQLEzJL3f7SXT8Tf+wwQNGx++NIZPjNiOnyq5P2fe2uuuIa2tj46u0Jxj9efqZzS9VVNx7Ym1mO8o6mZt55/gdd/8T0i/ec7ZFXu38u2d36AVVffPKV7mY8W8+9Asg8e07YPOjc3F4DOzs6YY+3t7aPOEWIhGIia/GJvPf/9ajUH6s+PjvRxqpCEouM31xCLS0qSTlWJ+DOySM0rpGzLTq762GcoXL0BTR+cbdST1Ob2Z2Rx/LknRgVnADMS5sSuZyYc6MX8N20j6IKCAjIzMzl58mTMsZMnT+JyuVi5cuV0vZwQ066+O8T3X6/hWHMfwahFX8QkaAxOUf50Tx3XLs/hn9++mquXZfPY0ZaEbSg3FMlOhYvNskuv5dBTDxPsap/wcwpWrefKe/58+N9lWy6hq7GOYFcHaYXFPPut/zO89j3En5FFxY6reHb3/4l7zZ7meppOHKF43eYL+jrE/DKtlcRuueUWXnvtNdra2oYfCwaDPP3001x99dUEkmxbEGIudYeifP7ho/zxWCtVnSFa+qPDwRkG15efPtnGj96s5Zrl2dy+Pj/udXaWZXDz6rzZum0xT2i6zvWf/Bwuz8S7UlXtfY39j/6a4y8+ycHHf0db1Wkyi0opXreZ1Kxc1t/yLrxpGQwmmSmkZOdx2Qf+jIxzLS8TeemH3+T5+79KT0v8Aipi4VAcx5lKP/pRWlpauOOOOygpKeEzn/kMLpeL733vexw8eJDf/OY3LF++POnzE60xLOb1h4XgYnj/v/NKNT98s3bc89bkp7A2P4X6njDhqElrf5SI5ZDpc3FFRRZ/dlnZqCIlbf0RHjnSjGk73LAih+W5KZO+t4vh/Z/vJvo96Gqq5/VffpeO2iocy8SXlkE0HMKKRuI/QVHg3J9gzeVmyeZLuOKeP6ejtpJdP/gGA2NG5CuuuIHLPvAJdv3wm1Tvez3pvWSVLuXWz/3LouiYtZh/B5KtQU/rdy4/P59f/vKXfPWrX+Vv/uZvcByHzZs389Of/nTc4CzEXKrujJ+gONbptgGOjyhi4nOpfPLyMj60vTTm3Af3NfDDN2vpDA4mTv5ybwO3r8/nc9ctk4ITi0hHbSWnX32eUG8Pgaxsrvjwp7CMKMGebgpWrKH17Ele+sE3MMJxfsZGjI8sI0rVnlfQ3W6C3Z0xwRmgZt8brL3hNrbffQ8D3R20VZ5KeF+ddVWcee0FVl1907R8nWL2TftHq2XLlnH//fdP92WFmFGp3omV5jTt0RNOIcPmNweayPa7efFsB71hk+J0L1dXZPHd16rpjZxPGAsaFr850Mi6glRuXRt/ilwsLNX73uDNX/9oVMJW3aG9XP7hT1Fybh24aM1G0vIL6aiZWMGS068+n/BYNDRA/eG9rLvhNm757D9RvfdV9j/667jBHOD4S0/S29bEqqtuIi2vcOJfmJgXpr2blRAL0a1r8vG7kv86JErebugJ889PneS5U+3sqe3mD4eb+dITJ0YF5yG2A//14ln+6fETHGyI3TcrFg7Htjn6zCMx2dQDXR0cefrhUY/lVkxfgqw3ZbCxhqqqVFxyFXnLVyc8t7elkeMvPMFT3/j/qD381rTdg5gdEqCFYLB62KeuKKcg9XypzgyvTkW2n41FqbxzQz65KYkTc8wx9SgGookLVHSHTB4/3srfPnKMl89OPOtXzC9djbV01FXFPdZRW0UkeH4pZPPb303+8jVTfs2MolKWbr9s1GMrLrsWtz95bkOop4sjT/6eaUw5ErNg4WcPCDFNPrCthDs2FPD08VY0TeXmVbmjEr7+5cmTPHo0cYejyeoMGvzyrQauWjb5PbRi7qmajqJpOFbsTIkDHHzi92gunaVbLyerpIybPvMPnHn9RdprK3F5vPR3dlB3cPeEXy+9oJgdd38EVRv9Z7tg5TouefdHOfbiE3TWVYMT/8Nhe20lnXXVZC9ZOpkvU8whCdBCjBBw69yZoJb2p69eSl13iAMN56c0s3wuOkOx1fMAfLpKaOzQeoxTbQP0R0xSPPKruNCkFxSTW76c1rOxtR+McJATLzwOwMmXnmb11bew9Z3vZ+WVN7ISiIaCnHr5WYzQAOH+frqbakcljI20dMcVFCxfS8UlV6GdK5s8VsUlV7J0++V0NtTwzDf/N9HQQJyzFBRVJk0XEvmrIMQEZfndfOe9m3jiWAtn2gfI8Lm4a2Mhn/7tYU60xranvGl1LgVpHl4528Gxlnh/MMGrq7g0+aO5ECmKwubb3sdrv/hv+se2mxwRbM1ImCPPPUq4v5eNt95FV0Mtu3/7YwY6hupFJOpADigK2UuW0VJ5ktbKUxSv20zZlp1xdwFEw0EURSW7fBlNxw/FHM9ZUkFm8ZIL/GrFXJjWfdBTJfug5yd5/5PbXdPFV549TV33iPaUpel89Y61pHoHRzyfevAgb9XHJoVtLkrj/VuLuGpZDm49fqCW93/uJfsehPv7OLHraUI9XXTUVdFZm7gut8ufgqooRAYm+P0csU966N/LL72Gyz5473CQNqMR3njgBzQeO0i4vxeX14dlGtjm+ZKfvvRMLvvAJyhZv3VirzvPLObfgVnbBy3ExeiSskx+ds9Wfnewie6QwcrcADevPt+eEuCz11bwv544QVXH+WYLXl3lQGMvBxp7WZLp48PbS7hzo2yFWShs2+bIMw/TdOIwZiRCRlEpvpTkZV6NYOxMS1Jjx0+Ow5k3dlGyYRuOZVNz4A1aTh8n1Nt9/jWG+lcrCilZuZRu3M7qa28hNVsq3C00EqCFmAYBt85HdsQWKxnS2BNmYMy2q/CI9enarhDf3FXF8hw/G4rSZ+w+xfR57ef3U7n75eF/d9RW4kmZhZaIjs3BJ35HT1MDthk//2HwPIf+jla8KWkSnBcoWfwSYoaFDYtvvFRJa3806Xn9EZNHjkxflriYOe3VZ6jZ/2bM45H+PrQkdbKnS1d9TfLgPELj8YMzfDdipsgIWohpUtUR5PFjzRiWwxUVWexYkklPyOAvfn2Ixt4EtZjH6AlLq8CFoOHYQSwj/gcu3eNJeGzaTCJ1yIiEZ/BGxEySAC3ENPjJ7lp+sruOvnPT2L850MjNq3PpC1ucao+fwR1PSbqXU639HGrsZW1BKmsLZmHKVEyay+9PeMyfkY0RDicc4foysgh1d87UrcXIKCyZtdcS00sCtBBTdLatnx/vrqN/xBpz1HJ47Ggrbm3iTTFKM3ycaevnEwcaCZk2Xl1l+5IMvv2hbTNx22IKVlx2HSdefJL+9taYYxXbLyfU18vJXU9hGeeDtCeQStnWS9l4612cfPFJzu5+meBsBGppzLJgSYAWYooeP946KjiPFLUST0X6XSopXh1NUVhXkErUtNhV2TV8PGzavFLZyRf/cIQv37wi5vmW7fCD12t4taqT3rBJWZafuzcVSGWyWeDyeNl+9z289buf03duD7Tu8VK+9VLWXv8OFFVlycZtVO/fjWNblKzfQtGaTfS1NfP8fV+hu7kR27ZQXW7sC50OH7MFK9G1Wk4fw4iEcXm8F/Y6Ys5IgBZiigwrcbUwl6ZgxAnSWX6dH7x/M8UZPmCwK9Z7frQn7jVePdNO95XlZPhHV5H6yrOn+cPh5uF/1/eEOdzUy5ffhgTpWbBkw3aKVm3gzOsvEg0FKVm/laySsuHjectWk7fsfCOLvo42Hv+PLxENnl/ysO0prFWfC84uX4DV197CiReewI4zqz7Q2U5XQy1509iwQ8wOyeIWYop2lmWSoMYIy7Jj1yrdmsInLi2jJNOPoigoikJfxKQnHH/Nsjtk0BEc/Ye8sTvE86faYs7tDZv89kDT5L8IcUF0t4fV19zCxrfdOSo4x3P4qT+MCs7TxQgN0NfajCcQP1/B7fMTyJIPbAuRBGghpujypVncsDI35vGNRal8+90b+Mj2EpZm+8nwuVhXkMJfXVPBe7YUjzo3J+BmSaYv7vUrcgKUZow+9mp1V9x2lgC13aG4j4u51VlXPYPXrqJ47aa4xwpXbSCQkTVjry1mjkxxCzFJjuPwzMk2dp3tIGo6rMoP8Hc3rmBDYSpv1nZjWg5r8lO5Z0cxKR4Xn7mmgr+8eilR08ajq3HrKGuqwm3rCvh/L1eNWrfWFLhzS3FMGdDiNC+qMthfeqxUabwxL3kCgRm7tqJpbL/rHoxwiPqj+4gGg+geLwUr13Lp+/+UaCjIiZeeYqCrA19aBquvvQVvghG3mD/kN1mISfrPF87ymwONw8HxhTPtvF7VydfvWs/7tsbf0qIqyqjWlfF8cFsJXl3lyROtNPdEQIHCNC85qW5My0Yf0VTjsqWZrC9M41Bjb8x1rlgqo6X5qGT9VppOHJ6Ra+dVrERzubjyo39JX3sLrZWnyC4pJ6OolI66Kl7+8bfpbWkcPr9qzytcfs+fk79s1Yzcj5geMsUtxCScaOnjkcPNMSPXg419/GR3/ZSvf9emIj595VI8ukpTb4R99T38/UNH+MQDB2npPV9wQlEU/uHGFWwsSkM9NyBP82i8c30+n7gs+VqomBurr7mF5Zdei6Im/6A2rjEtI3OXrWLL7e8f/ndqTj7LLrmKjKLB0rMHHn1wVHAG6Gtv4cBjD07tPsSMkxG0EJPw/On2hD2ejzbHjmYny3EcvvVyFdVdo9eRjzb38c1dVfzv29YMP7YsN8D337+J16u6aOgNcWlZJqWZiQtoiLmlKAqXf/iTrL72bVTtfRUzGiEy0Ef1W6+POi8lJw/HgYGO2D3WvvRMVl/7Nqrfeg0jHCI1J5/LPvBneBPUAA/399FWdTrusbaq0/R3tpGSFZs/IeYHCdBCTIKapOiDpk59QupU6wBHmuIH+gMNPURNe9R6tKIoXF4hU9oLSVZJ2XDGt+M45JavoOHYQcxomIzCUtbd8A5s2+HI0w/TcPwgZiSMqrvIX7aatLxCjj79CNHQYDZ4f3srz/6/f+PqP/krskrKY17LsS1sO/4HSts02fPbn6LqOtlLKlhzzS2zUkdcTJwEaCEm4R1r8/j1/obhkp4jbS5O3mpwIgaiJgkG6ERNG2v+tG8X00BRFNZcdytrrrs15tgV93xq1L8t0+TRf/u74eA8pLe1iUNP/p5rP/E/iAQHOPT472itPIGi6uQvX0VmSTltZ0/Eff26Q3sBqNn3Bg1H9nP9n/+tFDSZR2QNWohJKM3085EdpfhHJHwpwFUVWUnbTU5EyLA43dZPli/+5+bV+Sn4xkk0E4tX47ED9LY0xD3WXn0GIxzm0X/7O46/+AQdtVW0V5/m6LOPEenvw5eeOe71W84c58jTD0/3bYspkBG0EJP0sZ1L2FmWyRPHW4mYFltKMrh5dW7S6e/xPH2ilfteqaahJ37nodwUNx/eLk0PLmYtZ08mPKaoGq/85P8R7GqPOdbb0sCGt92JEQoy0N1BX1sr3Y21ca/TVn1m2u5XTJ0EaCEuwJqCVNZModPU4cYeXqvqwqOrXLM8i6+/VElbnH7RS7N87FyWw22rc1iVN/HXC0Yt2gei5KW4x93eJWafbVnUHX4LIxSibMsluLzxi9QMOfnKs5x8+emEx3MrViTdwtVZX831n/wCex/6OU3HE5+nKONPqlqmSVv1YOJZ29mTGJEw+ctXU7RmU9w9/uLCSYAWYhbZjsO/Pn2KZ060ET632PyjN2sJGvEXnpdk+vnK3Rtpa+uLOfbcqTb+eLSFlr4IuSlu3r4mn+tW5vCfz5/llcoOWvujFKV5uG5lLp+5eumURvhi+tQf2c++Rx4YHsUefOK3rLrqZtbfdHvc8x3b5vSrz2NF49ftziwuY8tt76P+0FsJX9MIhTj81MMcf+HxpPc2Xr3uEy89xcmXn6GnefRU+9HnHqN0wzau/vhnUDUJK9NF3kkhZtGv9zfw6JGWUY8lCs4wmDQWz+8PNfH1F88OP/dU2wBv1fXw4P4GDjWdD+YNvRF+vrceTYFPX10xDV+BmIrwQB9v/vqHDHSen4oe6Gzn4OO/JS2/kCUbt8c+p7+X3tbE9dUvee/HSM3JI5CVS09z/L34ZjTCkaf/kPTedI+XNde9LeHxusNvse+RBzAjscswjmVRe2A3h578PZvf8Z6kryMmTpLEhJhFb1R3jX/SCBXZseUhbcfhoUNNMYE9bNocbY4daQO8eKYjadctMTtO7XpmVHAeYhnRmP3QQ1xeH25f/P3tLq+PlOw8AFZdfVPC3s+ddVWY0UjSezMjYU689EzC45W7X4kbnEdqOnk06XExORKghZhF4UR7qOJYmuXjwztiE8Na+yKcbY/fFSlR++nW/gg94fijcTF7wsH+hMciCY7pbg8FK9fFPZZTvmK4Ecbqq29my23vIzW3AADN7Rl3bXusI08/TO3h+FPl4b6ecZ9vGfE7sokLIwFaiFm0PCd+wwSXCreszmVjUSqr8gLcsS6fr75zHYVpsXtSUzw6Ke7JrU7lpXjI8MqK1lzLLk5chjXtXGCNZ8e7P0rRus0xI+TOuiqOv/TU8L833PJO7vjiV3nnl/6LpTuuwAhPrrOZGQ1z8I+/iVvcZCIVx8ZruSkmRwK0ELPoIztKWJ4TO115w8pc/vUda/jBB7bw83u28aW3raIsK/60ZopHZ1tpetxjhWmeuI9fuyJnVLMNMTeWXnIV+cvXxDyekpPPmmsTr/96/AHKNl0CYwrVRAb6OPjH39Lbdj6vQdN1jjz9B868+vwF3WNXfU3cjPAVV92ANy3+zx1AWn4x626Mn+gmLox8pBZiFuWlevnGnev5yZ56Trf149Y1LinL4EPbJrfH+fPXL6c7ZLC/vgfLAVWBzUXp/NPbVvDztxp4+Wwnbf0RCtO93LAih7+4snxmviAxKaqqcu0n/gf7Hn2A1rMnsUyD7NIK1t10O2l5hUmf23DsQNzHo8F+zrz+PFvv+AAAnfU11BzYnfRaOeUr6KirxLHi9xQ/8PhvGejuZMVl1w5vncpbupLLP/hJjr3wR7rqa7FtC93tIZCZTXbpUtbecBupOXnjvANiMiRACzHL8tK8fOGG5VO6RnbAzX3v2cirVZ2cbhtgWbafskwffzzeRqbfzTfuWofHpZET8ODRZeQ8n3hSUrnsA3826edZSZK8zBFrvw3HDiRN5spZuoJr/uSv2PObn1J7aE/cczqqz9BRc5buhhouec/Hhh8vWb+FkvVbMMIhVE1Hc7km/XWIiZMALcQCpSgKV1Zkc2VFNve/Ws2Xnzw5XCP8gX0NfHBrMX8qrScXjcziMhqOHYw9oKjkL1tD5d5XCXZ1YhqJA7nLH+CmT38Rl8fDhrfdSdPpoxihYPyTHYezb+5i5ZU3klFYgm3bVO99ldaq0ygoLN1+GXnLVk/TVyfikQAtxAL3ZnUnP9tTR3RECndv2OTHu+vYWprOlpKMubs5MW3W3XAbTSeP0FFbOerx/OWrOPjE7+huqAFAd3txeb0Y4dhRtBEc4OUff4vr7v0cwZ5OzEjyrVdGOETtgd2k5uTxwnf/i8bj5z8gnHz5adLyCtn5/j+lMEGWuZgaCdBCzANn2gb4wRs1HG/pR1NhY1E6f3FlObkp8ZO+RnrmZPuo4DwkbNo8daJNAvQi4UlJ5fo//58cfeZhOmqrUDWd/JVrqD2wZzg4w2AmNoCq69hm7Na6hqP7qT+yj1OvPIdjx1+DHklzuzn05B9GBechva1NvPrT+7jls/8k688zQAK0EHOstT/C3z16jJqu81tiarvCVHUE+e77No37/LCZ+I9sJMkxsfD4UtPYftc9w/+u3vcGnXVVcc9VtfgB2rFt3njgh4R6Osd9PX9GFssvvZYXv/9fCc8Jdndy4qUn2XH3RybwFYjJkOwRIebYA2/VjwrOQ4429/HQocZxn78mPyXhsXUFU+9RLeav4y8+mfCYk6R3+ESCszc1jU3veA+eQAp2gmzvIbUH97Lrx9/i8NN/wBin2piYOAnQQsyx2u7Ef9AqO8YvNPHuzcVsKYkNxDtKM3jnhsTFL8TCZkTC9LW3JDyempMPE+hOlUhexSpWXHYtANmlyeu4D3S2Ub33NfY/8iDPfPN/E+6PX3JWTI4EaCHmWJon8UpT+gSqf3l0lf961zo+uqOErSXpbCtN5+OXlPKfd67DJcVJFq1Qdxfh3u6ExwtXbyQlK2fUY25f/Ep28dQfPUBXYx0A6295F4Ex10qkveYMb/3hFxN+HZGYrEELMcfevi6f50+3MxAdPY2YE3Bx96aiCV0jxeOSblUXGV9GJoHMHAa6YptvuLw+Tr78FPaY2tjRUPwa7vHYpsGz/+/fSM0roL+thWii7VhxnH3jJQa6Oth6+/vIKZ/anv+LmXy8FmKObS/N4C+uLKc4/Xzd7YpsP5+/fjkFCUp3CuHyeCmN054SQNH0mOB8IUI9XbSePk6wu3PcTlZjNZ88wis/u29SgV2MJiNoIeaB924p5o71BTx/uh2PpnDNcqmdLca3/a4Pg6JQf3gvA91dBDKzySlfTvXeV5M+z5eVjUt3Y4RDaG4P/UnWsqeit6WJE7ueYuMtd87I9Rc7CdBCzBNel8bb1+bP9W2IBUTVNC5590fYesf7Cff14EtLZ6C7k5p9byTf42w7vPNL/4njOCiKwhP/+U+0V5++sJtQlJgmHiMFuyfXA12cJwFaCCEWON3tJtTbzcEnHyLY1YGq6VhJArQZifDU1/8ZUMhespRtd36Q57/zVYzwxKajPSmpuH0B8patomzrpbz1+5/T09QQ99yUzIkll4lYEqCFEGKBqzmwmzce+AGR/t4JnW+EBmg9exKA1rMnaKs8zfqb7+DY84+Pe42UnDze+Y//iaafDx/+9Eyeu+8rhHq6R52bXlDCqmtuntwXI4bJIpcQQixgjuNw7Pk/Tjg4x9Nec4bjLzxBZtEScspXJD23v72VJ7/2T8NbsACyisu47AP3krd8DZrbg9vnp3jtJq762KdxebxJrhbLCIc48swj7Pndzznz+ovjFklZzGQELcRFwnYcnjnRxum2frICbu7aWIjXpc31bYkpCvV00VlXPeXrhPt6aO7rQff6KFqzifbqMwm3ZXXUVPLmr3/ELX/9peF+0UOtKIM9Xaiahjdl8lXsmk8f4/Vffo++tubhx06/9gJ3/92XuBjD1cX3FQtxEeoJGfztI0fZX9/LUDrP7w828cWbV7K5JH1O701MjarraLqOZUSn5XpmOIQRCfG2z/9/1Ox7nRMvPUkkTmWwtqrTtNecIXfMiNufnpnw2o5tc/CJh2g4so/wQD9pufmsuOIGyrdeiuM4vPWHX44KzoOvc4pdv/gR2987+R7aC50EaCEuAt94qZJ99aOnQKu7QnxjVyU//MDm4VGQWHi8KWnkVqyk4eiBpOdpLveEg3hPUz2+1FQ23PIuTr38TNxzHMtkoLNjVIDuaWng5K5nCPZ04c/IYvXVN5OWVzh8/M1f/4hTrzw7/O+Bzjbaas4Ofh2paTGtNIfUnzjKNttGUS+uVVkJ0EIscidbennuVFvcY8ea+9hX38O20ozZvSkxrbbd+SGC3V10jWg7OVZKTh69LY04tj3u9VxeP7rLg6qqZBSWEIpTUtSfkUXRmo3D/64/eoDXf/ldQj3nt1XVHtzD5R+8l6I1Gwe3fx14M+Y6ZjjEqVeeZc21tybcrmUbxuCWsHHvfHG5uD6OCHGROdrUyxceOU7QiP9H2XYGp7/FwpZRUMLbP/8vbLn9fWi6K+454b5ecsqWobvdwGA7Ss0dv1Jdwcq1aK7B66y65hY8gdEd0xRVZdnOq3H7/MBgotqRp/4wKjgDBLs6OPzUHwBoOn447lQ5DPaVLly9ntTc+M1d8pYuQ9UuvnwJGUELsYj9fG89Tb2RhMdL0r1cvjRrFu9IzBTN5aZs8072P/pg3OOR/l7aRmR625bJko3bCPV001Z1ChwHVdcpWLmO7SN6Oy/ZuB3N5eb0y8/S19GCJyWNss07WHnlTfS2tXDg0QfoqK+hr7Up7uu211YS7O4kLb8QVY/fo9oTSEV3e1h1zS0ceOQBzOj5n9lAZjbb77j7Qt+WBU0CtBCL2On2xM0RNBXu2iSZ3AudbVlU7n6Z/vZWUnILSC8opqc5ftGQsRqO7OPGv/wHIv299La1kL2kgsJV62LOK16zkeIR09kw2It63x9+iWWOMwPjOCiqSl7FSvKWrqL59NHY66/dBMDaa99GWk4elXteIdLfT0pOLquuvoXSNetoa7v4WlhKgBZiEfPpiYPvezYXcc+O0lm8GzHdepobeOWn941Krgpk5qBoOo4VO1IdyzIMGo7uZ+s7PzCp1+3vbOfgH387fnBmcKTeevYkZVt2ctkHP8Frv/wurZWncSwTtz9A6YbtbL7tvcPnl6zfSsn6rZO6n8VKArQQi9i2JRmcaO2PeVwBNMncXvD2PvSzmMznga52MkvKcfv8BHu6CGRkEerrpaepLu41VG3yYeDM6y9OuHWlY9uc2PUUZVt2kppbwM1/9SVazpygt6WBwtUbSM2R+vOJSIAWYhH7iyvKOdTQw+Gm0dODDvCbA43sWJLBFRXZc3NzYkr6O9tpPnMi7rFQTye3/PWXhpO4Dj35EAceiw3Q7kAKyy+7ZvjfTSeP0nTyMLrbw4rLr8eXFn+PvD2B0flI3Y31GOEQLq8PRVEoWLGGghVrJnWNi5EEaCEWMbeusizHHxOgAaKWwwunOyRAL1BGOIQVjZ8AaEQiWEYUx+vjrT/8kqo47Sfd/gAb33YnKdl52JbFKz+9j9qDu4eTuE6+/Axb73g/y3ZeHfPckvVbOfb849gTmOIG0D0e1ATZ5SIxCdBCLHKGlbgVYNQaf0+smJ/SC4rJLFpCV2NtzLGs4jK8qekcfuphjj33WMzxlOxcbvz0P5B2blvTkWcepfqt10adE+rpYv+jD1KyfmvMNqu8ipUs2bQj5jmJ5K9YO6q5RsuZE5x5/UVCfd0EMrNZddVNZJWUT+haFxPZBy3EIrehKHFN5A1FqbN4J2I6qarKqmtuxuXxjXrc7Q+w+ppbUBSFukN74j431NtNNDi4htxRV8XRZx+Je16wu5PTr70Q99i2Oz8E41X2UhQKV29gx4htW2d3v8wL3/0Pzr75Eo3HDnL61ed57jv/TsOxA8mvdRGSEbQQi9w71xfw0pkOXq8eXURiZ1kG79pQmOBZYiFYecUN+NIyOPvmLkK93QQysll++XUUrd4ADBYniccyDLoaaskqXcobv/o+RjiU8DVGlge1bRsjFMTl9aG73GguF1Yk/jR7RvEStt7xAYrXbhouJWvbNsee++Pwh4MhoZ4ujj73GMVrN0/my1/0JEALscjpmspX37mOn++t40BDLwqwsSiNe3aU4tJkEm2hK92wjdIN2+IeC2TnMtDVHvO4y+cnb/kaava/kbD+NYDu9lCyfiuO43DoyYeo2f8GA10d+NKy8PgDCYNzelEp7/j8vw5XIxvS1VCTsBxpW9VpwgN9eAMyqzNEArQQFwGPrvKnl5bN9W2IWbZs59V01JyNaZJRsm4L6XkF1B2MPwU+xJuWDgocfPy3HHrioeHHjVDyQii6y4VlGjEBWne5E1YTs6JRnr//q1z1sc+Qmp073pd2UZCPz0IIsUituOxadtz9EXLKluP2B0jNLWD1Nbdw+Yc+CUD+8tUoauJiNv3trbz4va9R+ebLk3rdjppKHv0//5OqvaOTyNILimPaU47UXnWaPb/50aReazGTEbQQQixiK6+8gRVXXI8ZCaO53KOaTuQuXYEvNY3gmCYXIw10xu+ENp6Brvb/v707D4rqyvcA/m2g2XdoEEQE2VUERSXuCQkQl5iQ0SQuiRNlHM2MvveMk5l646tM1WCVmRizzasxCRkncaJm8iJJzEyMiqOYKBp3cEFRBGWTfWugt/v+MHbS6dsI2Mtt+vupyh+cc5efTahv33vPPQenPt+B8KRxBqPAJ8xfhG/+/r/ouF0vul/d1Uvoam2Glz/niOcVNBHRECeTySB39xBdESrs+wFlg+Hi5g5PP9NBqmxpMhoFrhgVh4dX/87k6lSa3h70drQNuqahhAFNROTAoidNh4uJZSfvZWRqOh7/n83w7mO6TrER4j7BoSbfe/YbNhx+YZwjHmBAExE5tPDEZIyb/TO4+4hP62mKk4sck362FHJ3D/1rXT8lc3KCm7cPBMFwshyZTIaEmZlG73A7y10ROzXDYFITR8ZPgYjIwY3NfAyxUx/EmS8+xs2Sk+hpv/ctZp9gBeQeXgCAMY88hvryS0bLXAo6HU59tgO3Sk5h+rJfwdMvQN8Xkz4LcndPlBcfRldzEzx8/RA9aRpiJs8w7z/OjsmEn361sSFT630qFD4OuRaoVPDzty1+/rbnSL8DrVqN698dwbUTR3DbxGIcADA6Yy4mPrlU/3NHQx1KC79E1ZkT6O0y/qy8g0IQN+0hJMzI0i/i0V9D+fNXKEy/980raCIi0nOWyxE3NQPNtypNBrRnQBAmPP6MQZuPYhgmPfksqkvPiO7T2XQbZ774GJcP70fgiCg4y+XQqdXw8POHh48f4mdkGlxhEwOaiIhEhMQkoKxon2hf7AMPiq4jreruRvc9RmB3tzWjuq3ZqL28+DAmLViGkamTB1fwEMRBYkREZCRq/AOIGGs8hWjwyFiMzpgjuk/t5RIIWu2gzqdsbcbZf34y4LWmhzJeQRMRkRGZkxNm5f4nLuzfg/ryS9DptAiKHIXkzPkmnyHfKj19X+dsq72F8mOHET/94fs6zlDBgCYiIlHOLi4YNzsHQE6/tteoeu77nFe+LWRAf4+3uImIyCz8wyPv+xgdDfV9Tj3qSBjQRERkFmMenmdyhrD+Uvco0dl82zwF2TkGNBERmYW7tw8yVr+ExFnZUETHITAyGk4mZgWTyUzHT/2VS5Yq0a7wGTQREZmNp18AJi/8uf7n4o+34coRkde1ZE6AoBM9RsONcgtVZ194BU1ERBbjHx4h2i7oTL9OJbNUMXaGAU1ERBbTVntrwPsoRiVYoBL7w4AmIiKLcfP0NtknNhuZzNkZOp34rW9HY9aA7ujowCuvvIJHH30UKSkpyMrKQl5eHlpaOGSeiMgRJczMgpOLXLRPbNYwQatF6f7P0FRVYenSJM9sg8TUajVyc3Nx7do1rF27FklJSSgtLcVbb72F0tJS7NixA05OvGAnIhqKOhpv42Lhl2ipvQm5mweGjxmPhBmPwMPXD95BCrTX1/T7WJqeHlw7cQRBkdEWrFj6zBbQBw8exNmzZ7Fp0ybk5NyZdWbSpElQq9V47bXXcPz4cUyZMsVcpyMiIoloq6/FofdeM1gPuvriWbTV3kT608sROHzkgAIaALTqXnOXaXfMdkkbGxuLjRs3IjMz06A9MTERAFBbW2uuUxERkYRcOLDHIJwBAIKA6999g9qyUrTWiw8U8wpUmDymu4+/GSu0T2YL6JiYGCxYsADe3oYDAq5fvw4AiIy8/yngiIhIelqqK0Xb1T3dOP6Pv6G1+qZRn2dAEDLXboC7r7/ovjUXz0L4frCYqqcb5cWHceNMsUOtdmXRiUrq6+uxdetWJCQkIC3NeNkyIiKyf86urib7OpsbRNu1KhXcPDzh7uWNnvZWo/6mmxWovngObfU1uPrNPrQ33Jn+0z9sBFLnPYXIlIlmqV3K7hnQarUaVVVVfW7j4+ODkJAQg7ampiasWrUKKpUKmzdvhkx271fPAwI84eLiLNqnUPjcc3+yHH7+tsXP3/b4OzAtJmUCbpdfNmr3DgxGZ0uT6D7qHiV8PJ0gmLoiFgSc3P0BlC3N0KjV+ubW2ps49ekHSJyYCi//ALPUL1X3DOj6+nrMmSO+OPddOTk52LRpk/7nqqoq5ObmoqWlBfn5+YiPj+9XMS0tStF2hcIHDQ0d/ToGmR8/f9vi5297/B30LWbmbNRcv4aq86f0gesZEITUx57BhQN7RG+B+4ePQK/gDo+AYLTdrhM9bvvtetH2juZGHC0oQOq8heb7R9hIX1/87hnQERERKCsr6/fJLl++jOXLl8Pd3R07d+5EbGxsv/clIiL74+TsgpnL/wO1ZSWou3IRcjcPxE3PgLuXD9Q9Spwq+Aga1Q+jsl3c3BE//RHInJyg06j7OLJpvcouc5UvWWZ9Bl1TU4Pc3FwEBQUhPz8foaGh5jw8ERFJlEwmQ3jiOIQnjjNoT5iRCTdvH1w/fgTKtmZ4+gViVPpMRI1PBwColOJ3Tu+lp7MNpfu/QFTaFHj3MRrcnpktoLVaLdasWQNXV1ds27YNwcHB5jo0ERHZsajxDyBq/AOifW7evgM+npOzCypPF6PydDFK9+9B/LQMTHh80f2WKTlme82qoKAApaWlePrpp1FbW4uSkhKD/27dGviE6UREZFtatQq9XZ0QBMEix3/gmRWQ3WOWSUXUKPgEh8AnOAROLnKDV61Uyk5cOPgv3Dh1zCL12ZLZrqBPnjwJANiyZQu2bNli1P/TgWRERCRdvZ0d+O7TD1FXfgnqHiX8hkUgcUYWRk2ebtbz+IWGIXXe0zi/91NoVSqDPjdvH0RPnI45q15AY2MnznyxCyX7Pjc6hqDVoPLcd4hKG1qzVZotoDdt2sQAJiIaAgRBQNHf3kbt5RJ9W2PFVRyvuwW5hydGJE8AcGexi/LiIrTX18AzIBDx0x6BSx/vRJuSnDUfSQ8+iivf7EevUglPPz8IOgEjUibByz9Q/5quurfH5DE0vd0DPq/UWXSiEiIisj81l86j7upFo3Z1dzfKjx7EiOQJ6GxqxOG/voGmymv6/vKj/8bUZ1cjOHLUgM/p4uqK0Rlz+9wmOCoOOPy1aJ9/WMSAzyl1XF6KiIgMNN+sgKDVivZ1tTQCAE4WbDcIZwBorb2FUwUfmaWG1tpbOPX5TpzcvR2VJWcBANFpUxCWNM5oW//wSIx+eJ5ZzislvIImIiIDPiFhJvvcff2h7u3B7Wvi82M0VFxBW30N/ELDB33+kq8/R+n+z6HuuXPbuqxoP0amTcG0Jb/EQ794Eef+9Qnqy8ug02oQFDkKyVlPwMPHD01VFbhx+s5gsZGpkxEcZd/zcDCgiYjIwMiUSVBEx6Gh4qpBu5OLHNFpU6HTakxOMKLTaKDuGdy7zQDQUn0TJfs/h6bnh2fKWo0a148XISQ6DvHTH0HaE0uM9jv1+U6UFe2D5vvn1GVF+xA3NQOTFjw36Fpsjbe4iYjIgMzJCdOfewHho1Pg4uoGAPANCUPq3IWISZ8JN09vBEREie4bEB6JwIjoQZ/7+okig3D+sZofDVozbC/FpX9/pQ9nANCoenH5yD5UnT856FpsjVfQRERkxEcxDI+88Dt0NNajp6MdgRFRcJbL9f1jHp6Ltrpq9HS06dtc3D2Q+GA2nJzFFz3qD20fy0lqTVy1V545JnpFL2i1uHnuJCLH2efKVwxoIiIyySc4FD7BxtM2R4ydgId+uR5XvjmAruZGePj6IyZ9JsJFBnENRHhiMsqK9unXgv6xIJHR4ZVnT+DmOdNXyYOd61sKGNBERDQoiqhYKMw8EGv4mPGImjAFFSe/NWgPGZWAMT8ZqX37ehmKd72P3s52k8cLjo4za33WxIAmIiLJkMlkmPbcC1BEx6GmrBQ6jQaRSUmImpIJuZu7wbZXvz3YZziHJSYjfvojli7ZYhjQREQkKU5OTkiclY3EWdkATK/HrWxtMXkMxah4ZPxyPZxd7DfmOIqbiIjskruvn8m+qAlT4Cwf+LSjUsKAJiIiuxQ35UE4u8iN2p1cXBCWMNYGFZkXA5qIiCRP1a1E6YE9OLPnH6i9cgEA4BWkAESWqtRpNLh06Ctrl2h29ntznoiIJE2n1eLaiSK019feWe1qasagbjtfPXEUhdveQ1dzAwDgQuEejEhOQ2BEFLSqXtF9mqoq+qhLg+qL5yEIOkSMSYWTszSjUJpVERGRXetsbkTRX99E441yfdvVbw5i2rOrERTZ/5nGNKpeHP77Nn04A3eukCvPHIeqx/Tyk6YGh1WcOorzewvQVnsLAOA3bDjGZj2OmMkz+l2TtfAWNxERmd2pgr8bhDMAtNbexKnPBrbaVXnxYbTV14r2Nd24CrmHp2hfSEyiUVtbXTVO/N8H+nC+23by0+1orq4cUF3WwIAmIiKz6mu1q9vXy9BWX9P/Y5mYlxu481xa3a2EzMlwatHw0SlImbPAaPsr3xait8P4venerg6Uf3uw3zVZC29xExGRWem0GmjVKvE+jQbq7v6vdjUiOQ0XDuyBStllchtBp0Vo3GgEDI+EIjoeUePTIRMZPNbb1WnyGD1K0322witoIiIyKzdPbwQMjxLt8w+PROCI/j+D9g+LQNK0WffcztXdA5MXLEN02hTRcAYgOqe4vi/IdJ+tMKCJiMjskh6eAzcfX4M2ubsnEmdlDXi1q4dXrMbkhT+HV6DC5Dayfhwz6aHZ8A8fYdTuN2w4kjJmD6gma+AtbiIiMrvI5DR4rFyPMv1qV36ISZ+F4aNTBnwsmUyGxFnZCB4Zg31v5UEj8mpVeGLyPY/j6uGJWSv+C+f++QkabpQDEKCIisO4OU/C3ctnwHVZGgOaiIgsQhEdB4UZV5MKjorF6Iw5uHjwX/qQljk5ISptKuKmZvTrGH6hYZi5fC0EQbizv0xmtvrMjQFNRER2I3XeU4gYOwEVp45B0GkRPjoFw0enDjhopRzMdzGgiYjIrgRHxSLYzOtQSxEHiREREUkQA5qIiEiCGNBEREQSxGfQRERkEQ03ynH124Pobm+Bp18g4mdmIigiytZl2Q0GNBERmV3lmeMo/viv6O38Ye7rW6WnMWXxLxAxdoLV6+lsbsCtktPw9A/EiOQ0k7ONSQkDmoiIzEoQBFw4sMcgnAGgu70VpQf2YPiY8VZ7zUnQ6XDik7+h4tQxqL6fbzsoMgbpTz2P4KgYq9QwWNL/CkFERHalvaEOTTcrRPuaqirQ3d5qtVpKC79E2ZH9+nC+U8M1FO/Kh06ns1odg8GAJiIis3KRu8LJWfwGrbOzs8k+S6guPSPa3nzrBipPF1utjsFgQBMRkVl5BQQhZFS8aJ9iVALcva0373VvH8tUKlubrFbHYDCgiYjI7MbPXwTf0HCDNv/wEZjw+DNWrcMvNEy03cXNHWGJ46xay0BxkBgREZld8MhRmPvSRlw+/DWUrc3wDlIgYUYmXFzdrFpH4qxs3L5ehp72NoP2EclpCIwYadVaBooBTUREFiF3c0dy1uM2rWFY3GjMWPZrXDq0F2111XD18ER4UjJS5iywaV39wYAmIqIhLSxhLMISxtq6jAHjM2giIiIJYkATERFJEAOaiIhIghjQREREEsSAJiIikiAGNBERkQTxNSsiIqI+6LQalB87hMYb1+Ds6opRk6ZDER1n8fMyoImIiEzQqHpx8J3NqCsr1bddO16E5OwnLD4JC29xExERmXB+b4FBOAOAprcHFwq/RGdzo0XPzYAmIiIyoaHiqmi7qqsT148fsei5GdBEREQmCDqd6T6Y7jMHBjQREZEJwVGxou2uHp6InjjNoudmQBMREZmQnP0EFKPiDdqcXFyQMDMLvophFj03R3ETERGZ4Obphcxf/zcuH/oaTbcq4OLqhpHj0xExZrzFz82AJiIi6oOLqxvGZs23+nl5i5uIiEiCGNBEREQSxIAmIiKSIAY0ERGRBDGgiYiIJIgBTUREJEEMaCIiIgliQBMREUkQA5qIiEiCGNBEREQSxIAmIiKSIAY0ERGRBDGgiYiIJIgBTUREJEEMaCIiIgmSCYIg2LoIIiIiMsQraCIiIgliQBMREUkQA5qIiEiCGNBEREQSxIAmIiKSIAY0ERGRBNlVQB87dgyLFy9Gamoq0tPTsXbtWtTU1Ni6LIe1bNkyJCQk4Pjx47YuxSF0dHTglVdewaOPPoqUlBRkZWUhLy8PLS0tti5tSLp8+TJWrlyJtLQ0pKSkYOnSpThx4oSty3IoR48exbPPPov09HSkp6djyZIlOHz4sK3Lshq7Cehjx45hxYoV8PX1xV/+8hds2LABp0+fxvPPPw+1Wm3r8hzO7t27UVxcbOsyHIZarUZubi4++eQTLF68GPn5+Vi0aBE+/fRTrF69GjqdztYlDilVVVVYsmQJWlpasHnzZrzxxhvw9vbG8uXLce7cOVuX5xAKCwvx/PPPw93dHa+++ir+9Kc/wdXVFStXrkRRUZGty7MOwQ7odDohOztbmD9/vqBWq/XthYWFwty5c4Xz58/bsDrH09TUJEyePFlYuXKlEB8fLxQXF9u6pCFv7969Qnx8vLB7926D9nfeeUeIj48Xjh49aqPKhqbf/va3QkpKitDU1KRv6+3tFWbNmiUsW7bMdoU5kHnz5glZWVmCSqXStymVSmHy5MnCokWLbFiZ9bjY+gtCf5w/fx4VFRXIy8uDi8sPJWdkZCAjI8OGlTmmjRs3wt/fH0uXLsWhQ4dsXY5DiI2NxcaNG5GZmWnQnpiYCACora21RVlDkiAIOHDgAKZOnYrAwEB9u6urK7KysrB9+3a0t7fD19fXhlUObYIgYPXq1QgMDIRcLte3e3h4YOTIkairq7NhddZjFwF95swZAMCECRNsXAkVFRXhyy+/xAcffACZTGbrchxGTEwMYmJijNqvX78OAIiMjLR2SUNWTU0NOjo6EBcXZ9QXFxcHnU6HK1euYOLEiTaozjHIZDLMmTPHqF2tVqOyshJJSUk2qMr67OIZdHV1NQBAq9XiV7/6FdLS0pCamorc3Fxcu3bNxtU5DqVSiT/84Q/IycnBAw88YOtyHF59fT22bt2KhIQEpKWl2bqcIaOpqQkAEBAQYNR3t+3uNmRdb7/9NlpbW7F48WJbl2IVNr2CVqvVqKqq6nMbHx8fKJVKAMCLL76InJwcrFixAjdu3MCbb76Jp556Cl999RVCQkKsUfKQ09/fQUhICN588010dXXhpZdeslJ1Q99APv8fa2pqwqpVq6BSqbB582bezTAjlUoF4M4t7Z+6e7u1p6fHqjURsGvXLrz77rt48sknkZWVZetyrMKmAV1fXy96G+PHcnJy9H8oCxcuxHPPPQfgzu3u2NhYLFy4EO+++y42bNhg8XqHov7+DpYsWYLt27cjLy/P4Lkc3Z/+fv6bNm3S/1xVVYXc3Fy0tLQgPz8f8fHxli7Tobi5uQGA6Nshd8Pbw8PDqjU5uj//+c94++238dhjj+GPf/yjrcuxGpsGdEREBMrKyu653VtvvQXA+Bn0uHHj4Ovr269jkLj+/A40Gg0WLFiA8ePHIzs7G11dXQB+uIro6elBV1cXvLy8LF7vUNPfv4G7Ll++jOXLl8Pd3R07d+5EbGysBatzTAqFAgDQ3Nxs1NfY2GiwDVneyy+/jF27diE3Nxfr1693qLtFdjFI7O6AALE/GI1GYzDKj8yvrq4Oly5dAiA+UG/lypUAwC9KFlZTU4Pc3FwEBQUhPz8foaGhti5pSBo2bBgCAgJE/38uKyuDXC7nXQsref311/Hxxx/j97//vf7uqSOxi4CeNm0afH19UVBQgJkzZ+rbv/vuOyiVSqSmptquOAcQEhKCjz76yKj90qVLyMvLw4YNGxxmVKWtaLVarFmzBq6urti2bRuCg4NtXdKQlp2djYKCAjQ0NOivlpVKJfbt24eZM2fybpEVHDhwAFu3bsX69esdMpwBOwloT09PvPjii3j55Zfh7e2N2bNno66uDq+//joUCgWWLFli6xKHNFdXV9FXSrRaLQAgPj6er5xYWEFBAUpLS7Fu3TrU1tYavfccEBCAiIgIG1U39LzwwgvYu3cvVq1ahTVr1kAul+O9995Dd3c31q1bZ+vyhjyNRoNNmzYhIiIC6enpKCkpMdomISFBdCDfUGIXAQ0AzzzzDLy8vPD+++/js88+g6enJx566CH85je/QVBQkK3LI7KokydPAgC2bNmCLVu2GPX/dCAZ3Z/Q0FDs2LEDr776KtatWwdBEJCamooPP/yQz/2toK6uDjdv3gRwZ3CwmMLCwiH/pVQmCIJg6yKIiIjIkF1MVEJERORoGNBEREQSxIAmIiKSIAY0ERGRBDGgiYiIJIgBTUREJEEMaCIiIgliQBMREUkQA5qIiEiCGNBEREQS9P8cNNfbX+8QuwAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
"\n",
"agg = AgglomerativeClustering(n_clusters=3, affinity=\"precomputed\", linkage=\"average\")\n",
"clusters = agg.fit_predict(-CoAssociationMatrix)\n",
"\n",
"plt.scatter(blobs[:, 0], blobs[:, 1], c=clusters, cmap=\"tab20\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "ccd385ae",
"metadata": {},
"source": [
"## 4. Practical implementation of Ensemble clustering"
]
},
{
"cell_type": "markdown",
"id": "102ff7bb",
"metadata": {},
"source": [
"- The objective is to group together images representing the same person. The dataset contains 2800 images (200 persons and 14 images per person). As there is 200 persons, the number of expected clusters is 200."
]
},
{
"cell_type": "markdown",
"id": "16c718c0",
"metadata": {},
"source": [
"#### 4.1 Running Kmeans on a single representation"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "97ed54f1",
"metadata": {},
"outputs": [],
"source": [
"filename = \"representations/densenet121.h5\"\n",
"\n",
"f = h5py.File(filename, \"r\")\n",
"data = np.array(f[\"data\"])\n",
"labels = np.array(f[\"labels\"])\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "79acab21",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"NMI: 0.8851436238144947\n"
]
}
],
"source": [
"km = MiniBatchKMeans(200)\n",
"clusters = km.fit_predict(data)\n",
"\n",
"print(\"NMI: \", normalized_mutual_info_score(labels, clusters))\n"
]
},
{
"cell_type": "markdown",
"id": "84971b19",
"metadata": {},
"source": [
"#### 4.2 Running Kmeans on all representations"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "f09a04e0",
"metadata": {},
"outputs": [],
"source": [
"directory = \"representations/\"\n",
"files = [\n",
" \"densenet121.h5\",\n",
" \"densenet169.h5\",\n",
" \"densenet201.h5\",\n",
" \"inception.h5\",\n",
" \"inception_resnet.h5\",\n",
" \"nasnet.h5\",\n",
" \"resnet.h5\",\n",
" \"vgg16.h5\",\n",
" \"vgg19.h5\",\n",
" \"xception.h5\",\n",
"]\n",
"\n",
"km = MiniBatchKMeans(200)\n",
"clusters = []\n",
"for f in files:\n",
" ff = h5py.File(directory + f, \"r\")\n",
" data = np.array(ff[\"data\"])\n",
" labels = np.array(ff[\"labels\"])\n",
" clusters.append(km.fit_predict(data))\n",
"clusters = np.array(clusters)\n"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "6cba086a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"densenet121.h5\n",
" NMI: 0.8817267641060259\n",
"densenet169.h5\n",
" NMI: 0.8788637674639859\n",
"densenet201.h5\n",
" NMI: 0.8794119764315856\n",
"inception.h5\n",
" NMI: 0.8952033782797599\n",
"inception_resnet.h5\n",
" NMI: 0.8385824811497752\n",
"nasnet.h5\n",
" NMI: 0.8866301868250733\n",
"resnet.h5\n",
" NMI: 0.8700830295425884\n",
"vgg16.h5\n",
" NMI: 0.8444703426760213\n",
"vgg19.h5\n",
" NMI: 0.8845026162210827\n",
"xception.h5\n",
" NMI: 0.8718054429574429\n"
]
}
],
"source": [
"for i, f in enumerate(files):\n",
" print(f)\n",
" print(\" NMI: \", normalized_mutual_info_score(labels, clusters[i]))\n"
]
},
{
"cell_type": "markdown",
"id": "70e0899a",
"metadata": {},
"source": [
"#### Ensemble the results"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "950c9cf9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ensemble\n",
" NMI: 0.9372664229280685\n"
]
}
],
"source": [
"CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
"\n",
"agg = AgglomerativeClustering(n_clusters=200, affinity=\"precomputed\", linkage=\"average\")\n",
"clusters_ensemble = agg.fit_predict(-CoAssociationMatrix)\n",
"\n",
"print(\"ensemble\")\n",
"print(\" NMI: \", normalized_mutual_info_score(labels, clusters_ensemble))\n"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "afe6880b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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SERY7ERGRjLDYiYiIZITFTkREJCMsdiIiIhlhsRMREckIi52IiEhGWOxEREQywmInIiKSERY7ERGRjLDYiYiIZITFTkREJCMsdiIiIhlhsRMREckIi52IiEhGWOxEREQywmInIiKSERY7ERGRjLDYiYiIZITFTkREJCNFLvaoqCi4ubmhdevWsLa2xsiRIxEZGVno406cOIGBAweiZcuWaNeuHaZNm4b4+Hit7SIjIzFy5EjY2NjAzs4Obm5uiIqKKt6rISIiKueKVOwPHz7EiBEjkJSUBF9fX/j7+6Nq1apwdXXFlStX8n3ctm3b4OXlhYYNG2LdunVYtGgRLl++DBcXF6Snp6u3u3TpElxdXVG5cmWsXbsWS5cuxYsXLzBy5Eg8evSo5K+SiIionNAvykbr1q2DUqlEYGAgatSoAQDo2LEjevXqBT8/PwQFBWk9Jj09HStWrECrVq2wcuVK9fLGjRtjwIAB2LNnD1xcXAAA/v7+qFWrFtauXQtDQ0MAQNu2bdG9e3esX78eixcvLunrJCIiKhcK3WMXBAGhoaFwcHBQlzoAGBoaolevXrhw4QJevHih9bjo6GikpqbC0dFRY3njxo1hbW2N0NBQAEBycjL+/PNP9OzZU13qAFCjRg107NhRvR0REREVrtBif/z4MVJSUtCkSROtdU2aNIFKpcKdO3e01unr5xwMeL2sc5mZmSE6OhoAcOfOHQiCgI8++khruw8//BDJycl48uRJ4a+EiIiICi/2Z8+eAQBMTEy01uUuy93mdQ0bNkSFChVw6dIljeVKpRJRUVFISkqCIAhv/f2JiIhIW6Hn2DMzMwHkvedtYGAAABoXwuWqUqUKhgwZgl27dmHTpk1wdnZGeno6/P39kZKSAkEQoFQqkZGRofG9ivr9X2diUgX6+hUKeymiMTWtpusIeWKuopNiJkCauaSYCZBmLilmAphLDGK+lkKLvWLFigCArKwsrXW5pV+5cuU8H/v1119DqVTC19cXPj4+qFixIoYOHYrPPvsMwcHB0NfXR6VKlfL9/rnL8vv+uZKS0gp7GaIxNa2Gp09TdB1DC3MVnRQzAdLMJcVMgDRzSTETwFxiedevpaAPCoUWu6mpKQAgMTFRa11CQoLGNm+qUqUKFi5ciOnTpyMhIQHm5uYwMjLCjBkzUK9ePQBArVq1AABJSUnF/v5ERESkqdBiNzc3h4mJCW7fvq217vbt2zAwMMjzwrfXGRsbw9jYWP31pUuXYG9vDwCwtLREhQoV8v3+pqamMDMzK/SFEBERUREHqOnduzciIiLw9OlT9bK0tDScPHkSXbp0gZGRUZ6PmzRpEsaOHauxLDQ0FDExMfjkk08AANWqVYODgwN++eUXjXPpcXFxOH/+PPr27VvsF0VERFReFanYPTw8ULlyZbi7u+P06dMIDw+Hh4cHXr16BW9vbwBASEgImjVrhrCwMPXj2rZti4iICCxatAgXL17Erl27MHv2bPTp0wcdOnRQbzdt2jSkpKRg0qRJiIiIwKlTp+Du7g5jY2NMnDjxHb9kIiIi+SrSyHO1a9fGjh07sHz5cnh7e0MQBNjY2CA4OBgffvghAEClUkGpVEKlUqkfN2bMGKhUKuzevRu7d++GqakpRo0aBXd3d43v37RpUwQFBWHFihXw8PBAhQoV0KFDB/j5+anPwRMREVHhFIIgCLoOUVJSunJSqldyMlfRSTETIM1cUswESDOXFDMB5S/XpN+/fuffsyjWdvd5p9+voKviOW0rERGRjLDYiYiIZITFTkREJCMsdiIiIhlhsRMREckIi52IiEhGWOxEREQywmInIiKSERY7ERGRjLDYiYiIZITFTkREJCMsdiIiIhlhsRMREclIkaZtJSprXL//XSfP+9Os7jp5XiKiXNxjJyIikhEWOxERkYyw2ImIiGSExU5ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQj+roOQES65fr97zp53p9mddfJ8xLJHffYiYiIZITFTkREJCMsdiIiIhlhsRMREckIi52IiEhGWOxEREQywmInIiKSERY7ERGRjHCAGiKiMo6DDNHruMdOREQkIyx2IiIiGWGxExERyQiLnYiISEZY7ERERDLCYiciIpIRFjsREZGMsNiJiIhkhMVOREQkIyx2IiIiGWGxExERyQjHis8Dx10mIqKyinvsREREMlLkPfaoqCisWLECly5dQnZ2Nlq2bAkvLy+0a9cu38dkZmZi+/btCAkJwcOHDwEATZs2xdixY9GzZ89ib0dEREQFK9Ie+8OHDzFixAgkJSXB19cX/v7+qFq1KlxdXXHlypV8H7dgwQL4+PjAyckJAQEB8PPzg5GRESZPnozjx48XezsiIiIqWJH22NetWwelUonAwEDUqFEDANCxY0f06tULfn5+CAoK0npMWloaDh06hH79+sHLy0u9vEOHDmjXrh2OHj2Kfv36FXk7IiIiKlyhe+yCICA0NBQODg7qUgcAQ0ND9OrVCxcuXMCLFy/yfWyVKlU0lhkaGqJixYpvtR0REREVrNBif/z4MVJSUtCkSROtdU2aNIFKpcKdO3e01lWpUgVDhw7F0aNHERoaipcvXyIlJQUrV65EamoqRo4cWaztiIiIqHCFHop/9uwZAMDExERrXe6y3G3etGDBAhgbG2Py5MkQBEH9mMDAQDg4OBR7OyIiIipYocWemZkJIOfQ+JsMDAwAAOnp6Xk+dt++fdi4cSNGjRqF7t27IyUlBdu2bcO0adPw008/oXnz5sXaLj8mJlWgr1+hsJcieaam1cr0939bUs31Nsrrv+HbKI8/KylmKony+G/4tsR8LYUWe+557qysLK11uaVfuXJlrXUJCQlYtGgRPv30U8ydO1e93NHREU5OTvDx8cGWLVuKvF1BkpLSCnsZZcLTpyml9r1NTauV6vd/W1LN9bbK47/h2ypvPyspZiqp8vZvWBLv+rUU9EGh0GI3NTUFACQmJmqtS0hI0NjmddeuXUN6ejo6d+6ssdzQ0BC2trY4e/ZssbYj6eJIfURE0lHoxXPm5uYwMTHB7du3tdbdvn0bBgYG+Oijj7TW5Z4rz87O1lqXmZkJPT29Ym1HREREhStSa/bu3RsRERF4+vSpellaWhpOnjyJLl26wMjISOsxlpaWAICIiAiN5RkZGbhy5Yr6w0BRtyMiIqLCFWmAGg8PD/zyyy9wd3eHp6cnDAwM8OOPP+LVq1fw9vYGAISEhGDOnDnYsGEDOnXqhLp168LZ2RkHDx5E9erV0bVrV6SlpWHr1q1ITk7GkiVLAKDI2xEPeRMRUeGKVOy1a9fGjh07sHz5cnh7e0MQBNjY2CA4OBgffvghAEClUkGpVEKlUqkft2TJErRs2RJbt27F9u3bYWBggBYtWmDTpk0at7EVdTsiIiIqWJEngWncuDECAgLyXe/s7AxnZ2eNZQqFAsOHD8fw4cML/N5F3Y6IiIgKxivTiIiIZITFTkREJCMsdiIiIhlhsRMREckIi52IiEhGWOxEREQywmInIiKSERY7ERGRjLDYiYiIZITFTkREJCMsdiIiIhlhsRMREckIi52IiEhGWOxEREQywmInIiKSERY7ERGRjLDYiYiIZITFTkREJCMsdiIiIhlhsRMREckIi52IiEhGWOxEREQywmInIiKSERY7ERGRjLDYiYiIZITFTkREJCMsdiIiIhnR13UAIiKSJ9fvf9fJ8/40q7tOnlcquMdOREQkIyx2IiIiGWGxExERyQiLnYiISEZY7ERERDLCYiciIpIRFjsREZGM8D52IpIk3gNN9Ha4x05ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMlLkYo+KioKbmxtat24Na2trjBw5EpGRkQU+JjMzE5s3b8ann34KW1tb2NraYvjw4fj111+1tk1MTMTcuXPh4OAAa2trODs757kdERER5a9Ixf7w4UOMGDECSUlJ8PX1hb+/P6pWrQpXV1dcuXIl38ctWLAAPj4+cHJyQkBAAPz8/GBkZITJkyfj+PHj6u3S0tLg4uKCM2fOYNasWQgICICpqSm8vLxw/vz5kr9KIiKickK/KButW7cOSqUSgYGBqFGjBgCgY8eO6NWrF/z8/BAUFKT1mLS0NBw6dAj9+vWDl5eXenmHDh3Qrl07HD16FP369QMAbN26FdHR0di7dy9atWoFAGjdujUGDx6MS5cuoUOHDiV9nUREROVCocUuCAJCQ0Ph4OCgLnUAMDQ0RK9evbB161a8ePEC1atXz/OxVapU0VhmaGiIihUraiwLCQmBnZ2dutRztzt8+HCxXxAREVF5Vuih+MePHyMlJQVNmjTRWtekSROoVCrcuXNHa12VKlUwdOhQHD16FKGhoXj58iVSUlKwcuVKpKamYuTIkQCAFy9e4P79+2jduvU7eDlERETlW6F77M+ePQMAmJiYaK3LXZa7zZsWLFgAY2NjTJ48GYIgqB8TGBgIBwcHAEBMTAwAwNTUFGvWrMH+/fvx9OlT1K1bF19++SUGDhxY/FdFRERUThVa7JmZmQByDo2/ycDAAACQnp6e52P37duHjRs3YtSoUejevTtSUlKwbds2TJs2DT/99BOaN2+O1NRUAMCWLVvQsmVLLFmyBFlZWdi1axdmzpyJ1NRUjBgxosCMJiZVoK9fobCXInmmptV0HSFPzFV0pZ1Jiq/5bUn1tZRmLqm+5rcl1dcjxVxiZiq02HPPh2dlZWmtyy39ypUra61LSEjAokWL8Omnn2Lu3Lnq5Y6OjnBycoKPjw+2bNkCff2cCO+99x78/Pygp5dzdqBTp0749NNPsWrVKnzxxReoUCH/4k5KSivsZZQJT5+m6DpCnpir6Eozk6lpNUm+5rcl1ddSWrnk9u8HlL9/w5J415kK+qBQ6Dl2U1NTADn3mb8pISFBY5vXXbt2Denp6ejcubPGckNDQ9ja2qpvk6tZsyYAwNbWVl3qAKCnp4f27dsjOTkZT548KSwmERERoQjFbm5uDhMTE9y+fVtr3e3bt2FgYICPPvpIa13uOfXs7GytdZmZmeoSr1u3LqpXr57nBwelUgng/w75ExERUcGKNEBN7969ERERgadPn6qXpaWl4eTJk+jSpQuMjIy0HmNpaQkAiIiI0FiekZGBK1euqD8M6OnpoU+fPjh9+rRGuWdnZyM8PBx16tRB7dq1i//KiIiIyqEiFbuHhwcqV64Md3d3nD59GuHh4fDw8MCrV6/g7e0NIOde9GbNmiEsLAxAzp64s7MzDh48iKVLlyIiIgKhoaFwc3NDcnIyJk6cqPH9K1WqhNGjR+Pnn3/G2bNnMXnyZDx48ABfffVVKbxsIiIieSrSyHO1a9fGjh07sHz5cnh7e0MQBNjY2CA4OBgffvghAEClUkGpVEKlUqkft2TJErRs2RJbt27F9u3bYWBggBYtWmDTpk3q290AwMLCAjt37oSvry/mz5+PzMxMWFlZYfPmzRx1joiIqBiKVOwA0LhxYwQEBOS73tnZGc7OzhrLFAoFhg8fjuHDhxf6/Rs1aoQ1a9YUNQ4RERHlgdO2EhERyQiLnYiISEZY7ERERDLCYiciIpIRFjsREZGMsNiJiIhkhMVOREQkIyx2IiIiGWGxExERyQiLnYiISEZY7ERERDLCYiciIpIRFjsREZGMsNiJiIhkhMVOREQkIyx2IiIiGWGxExERyQiLnYiISEZY7ERERDLCYiciIpIRFjsREZGMsNiJiIhkhMVOREQkIyx2IiIiGWGxExERyQiLnYiISEZY7ERERDLCYiciIpIRFjsREZGMsNiJiIhkhMVOREQkIyx2IiIiGWGxExERyQiLnYiISEZY7ERERDKiEARB0HUIIiIieje4x05ERCQjLHYiIiIZYbETERHJCIudiIhIRljsREREMsJiJyIikhEWOxERkYyw2ImIiGSExU5ERCQj+roOICdnzpzBtWvXULFiRbRr1w7W1ta6jiTJTIB0cxG9a3fv3sX169dhaGiI1q1bo3bt2rqOBECauV68eIHbt2+jYsWKsLKygqGhoa4jlUks9mIaNGgQfH190bhxY/WyjIwMeHh4ICIiArkj9CoUCvTp0wc//PAD9PRK98CIFDNJOVdB+IGj6KRYDIBuymHy5MmYOXMm6tevr16mUqmwYMEC7Nu3DwAgCAL09fUxZswYTJ8+vdQzSTXX0qVL4erqqvX7EhAQgHXr1iErKwsAULVqVXh7e2PYsGGlnqkgKpUKDx48QHx8PJo3b46qVavqNE+RCFQslpaWwvXr1zWW+fn5Cc2bNxdWrlwp3Lx5U7h8+bKwdOlSoVmzZsLGjRvLZSYp5xo4cKBw9+5djWXp6emCq6urYGVlJVhaWgqWlpaClZWVMGXKFEGpVIqSKyUlRVCpVFrLk5OTBR8fH2HUqFHC+PHjhQ0bNggpKSmiZJo0aZLw8OFDjWVKpVKYN2+eYGVlpf55NW/eXFi+fLkomQRBEJYsWSLExsZqLV+/fr3QsmVLdbY2bdoIO3bsKPU8ef2ub968WbC0tBS+/vpr4ddffxWOHDkiTJ48WbCyshL27t1b6pmkmsvKykor08GDBwVLS0th5MiRwubNm4WAgADB2dlZsLKyEkJDQ0s9U352794tdOjQQf37dOvWLUEQBGHdunXCwoULdZarMCz2YsrrD6Vr167CDz/8oLXtkiVLhP79+5fLTGUtlxQ+cOT1hhcbGyt07NhRsLS0FNq0aSO0atVKsLS0FHr37i0kJiaWeiYpFoMgSK8c8vo59ezZU5g/f77WtrNmzRIGDRpUqnmknCuvTP379xc8PT01lqlUKsHNzU0YPnx4qWfKy6FDhwRLS0thzJgxwrZt2wRLS0t1se/bt09o3ry5sGXLFp1kKwwvnnsHEhMT0aVLF63ljo6O+O+//3SQSJqZAOnmCgkJgaurK7y8vNC0aVPY2tpi1qxZGDlyJA4ePChKBiGPiRaXL1+O7OxsBAUF4c8//8Tff/+NdevWITExEWvWrBEl15t27NiBIUOGYNmyZejRowcGDBiA1atXY+DAgdixY4coGfL6WW3cuBG9evXC1q1bMWbMGEycOBH79u1Dly5d8NNPP4mS63WxsbHo16+f1vL+/fvj/v37oufJJcVcDx48wODBgzWWKRQKfPHFF7h165ZOMgUFBWHw4MHYvHkzRowYobHus88+g7u7O3bt2qWTbIVhsb8DderUwatXr7SWZ2RkwMjISAeJpJkJkG4uqX7gOHfuHDw9PdG+fXsAOW923bt3h4eHB37//XedZJJiMQDSKwczM7N811WsWFHEJJqkmKtWrVp5/v1XqlRJZ9fd3L9/H/379893ffv27XX63lAQFvtbePDgAR49eoSkpCRkZWWhd+/e2L9/v8Y2giBg165dGheOlbdMUs71Jql+4MjMzETz5s21lrdo0QIJCQk6SCTNYgB0Xw6vXr3SOJLQpUsXHD9+XGu7Y8eOoWHDhqWeR8q5FAqFxtdt27bF6dOntbY7e/Ys6tWrJ0qmN+nr6yMjIyPf9c+fP0elSpVETFR0vCr+LUybNk3jaz09PahUKiQmJqJGjRrIysrC4MGDcefOHQQEBJTbTFLO9eDBAxgbG8PIyAhVq1ZVf+Do3LmzehspfOB4//338fjxY9jY2Ggsf/LkCWrVqiVKhtxiyH0zzi2G3KMIucQurPzKoXXr1hrLxSqHUaNGAcj5IFG1alUIgoDExERMmzYNxsbGyMrKwuTJk3H27FksXbq01PNIOZeLiwuqV68OIyMjGBkZITU1FT///DMmTpyIqlWrIjs7G0uXLsXOnTsxa9YsUTK9ycbGBgEBAWjbtq3WB8akpCT4+/vD1tZWJ9kKw2Ivps2bNyMlJSXP/3JvqzEwMAAALFu2DF27di2XmaScC5DuB47jx4/j9u3b6g8c1tbW2LhxI/r06aPe64yLi0NgYCBatWolSiYpFgMgrXJYuHAhXr58mefveu4HEAMDA1y7dg1fffUVBg4cWKp5pJzL3d1dK1OFChVgZmamvtVNX18f+/btw2effYaRI0eWeqa8eHl5YdSoUejbty86deoEhUKBH3/8ERkZGQgLC4MgCFiyZIlOshVGIeR1FQqRjJ0/fz7fDxxz585V36f66aefYty4cfjkk09EyWVlZaXxtUKhUO8ph4WFoWbNmsjKyoKdnR0qVaqEnTt34sMPPyzVTHv37s23GNasWYPq1asDABwcHODi4gJ3d/dSzZPL398/31z79u2DiYkJAMDa2hqffPIJvvvuO52PkQDknFqR4qArUsz19OlTmJqa6jTDzZs34efnhwsXLiAzMxNAzukme3t7eHl5oUWLFjrNlx8W+zuQmZmJpKQkKJXKPNfXqVNH5ETSzARIN5cUKJVKdTm9fPkSL168UP9/v3791G+8ixcvxhdffKHTUwRvkmIxANIoByr7srOzkZycDAAwMTFBhQoVdBuoECz2EoiJicGsWbNw8eLFArcT84pcKWYCpJsrFz9w0Lvy/PlzLF26FGFhYUhKSoJKpdLaRqFQ4ObNm+U+V0ZGBjZs2KDOlNffn0KhQGhoqGiZ5IDn2Etg3rx5uHLlCnr27Im6detCX1/3P04pZgKkm0vKHzhSU1Nx+fLlfN+EAYh2rhaQZjEA0iuH+fPn4+TJk2jevDns7Owk87suxVyLFy/Gnj17UKNGDZibm6uvudEVJyenYm0v1Q8duv+XLcMuX76Mr7/+WmcXd+RFipkA6eaS6geOP/74A5MmTUJaWlqeg7EAOW8qYha7FIsBkF45nDt3Dl5eXvDw8NBpjjdJMdfPP/+MkSNHYu7cuVp3OeiCXI7MSeMvs4yqXLkyLC0tdR1DgxQzAdLNJdUPHAsXLoSxsTG8vb1Rp04dSZSoFIsBkF45VKhQAW3bttV1DC1SzJWdnY1evXpJ4t8NALZu3arrCO+E7t8tyrDevXvjjz/+kNQfixQzAdLNJdUPHA8fPoSvry969+6t6yhqUiwGQHrl0LlzZ9y4cUNyPysp5rKzs8ODBw/Qrl07XUfJV1ZWFv755x8kJSVBoVCgZs2aaNSokaQvoOPFc8X07Nkz9f+npaXhu+++Q/PmzeHk5JTvgCGlfXhHipmknOt1CxYsQK1ateDp6Snq8xame/fuWLRoERwcHHQdRW3q1KmwtrbGmDFjdB1Fw7hx49CnTx98/vnnuo4CIGfwkhkzZqB3795wcnJCjRo1dB0JgDRz/ffff5gxYwa8vLwk9bsO5FxQ6+PjgwMHDmiNSlmtWjV88cUX+OqrryRZ8Cz2YrKystLYMxBem1M8P6V94ZUUM0k5V1n4wBEUFIRr167hhx9+EPV5CyLFYgCkUQ6tWrXS+l3PHWwlL2JdZCjFXG/OM5Ceno4nT56gUqVKef5O6eoCtQULFmD37t1o3bo1unTpos729OlTnD17FleuXMHo0aN1NjJeQXgovpgmTZokmUN+uaSYCZBuro4dO2q92YWFhWHDhg35PkaMDxyvj99tZmaGZ8+eYdiwYQV+4Cjti+fyKobw8HB88803eW4vVmHlVQ7jxo3TWTn069dPkr/rUsxVs2ZNrWV169bVQZKC/fLLL3BxccGcOXO01nl4eGDx4sU4dOiQJIude+xU7qxevbrYb3aTJ08upTT/J/cIR1H/JBUKRal/4Jg1a1axf1ZiDCubO8xtccjlwigSh62tLQICAmBvb5/n+sjISEycOBF//fWXyMkKx2InkojIyMhiP0bKFx0RlWUjR45E3759teZiz7V3716EhIRg+/btIicrHA/Fl6IZM2ZApVJJ6jypFDMB0s0lJpZ0+eDv7w9BEDB16lRdR9EgxVx79+6FSqXC0KFDRX/ub775BtOnT0fNmjXRrVs39ZTEWVlZOHv2LHbs2AEfHx/RcxUF99hLUbNmzSAIgs6GSc2LFDMB0s3FDxxFJ8ViAHRbDnmR6u+6FHM1b94cKpVKtEydOnXS+DozM1M9E1716tWhUCiQkpICpVKJ6tWr47333sOJEydEyVYcLHaiAkjxzQ4AunbtCpVKhXPnzuk6ippUf1Zil0NhHj9+DEEQJHfBmBRz/fnnnxAEQbSjWXK5doPFTlQGjR49GiqVSlJvKlIsBkD8ciDSNRZ7KYqPj8eePXtEuaIaAFQqFS5fvozo6GgkJiZCqVSiSpUqqFevHqytrWFhYSFKjrch9s+K3r3cqWalNt62IAhQKpWiDMubkZGhPhebKzQ0FFFRUTA0NISNjY3OPmDExsbizp07Wu8NlpaWkpxyl94ei70UXb9+HZ9//rkohwAPHjyIH374Ac+ePVPfLlWhQgX1TFcKhQJt2rTBnDlz0LRp01LPU1xi/qzykpaWhoSEhHynbX3//fdFzRMSEoJu3brB2Ng4z/U3b95EZGSkqKPANW3aFPv27UPz5s3zXH/y5El8++23iIiIEC0TkDMjV0BAAJo0aZLn+p9//hnff/89zpw5U2oZMjMz8e233+LBgwfqq6RTUlIwYcIEXLlyRWNwJgcHB2zYsEG0EcvOnz+P5cuXa/1tCYIAhUKBSpUqoXfv3vjqq69E//CflpaGwMBAhIWF5fv3p1AodHLKKT4+HsuWLUNkZCQSExMlM5thUfCqeBkICQnB7NmzMWDAADg7O8PMzAzXrl3Djz/+iMWLF6NWrVq4ePEitm3bhuHDh2Pbtm35vjmXNw8ePMDMmTNx5cqVArcT+wPH7NmzsX///nyL/cGDB/D39xel2P/8808AOUVw8+ZNpKWlaW2jVCpx4sQJpKamlnqeXI8fPwaQM/Xu48ePYWRklGeuS5cuITExsVSz+Pn54fDhwxg3bpx6ma+vL27duoVp06ahU6dOyM7OxunTp7FhwwZs2LABX375ZalmAoAzZ87Aw8MD1tbW+N///qd+bzhw4AC+/fZbGBgY4NKlS9i/fz8GDx6MnTt3okGDBqWeK9eSJUuwb98+mJqaom7dujqfme91c+fORXh4OOzs7GBvby+pbIXhHnsxrVixosjbPn36FCEhIaVeCh9//DHs7e0xb948jeWnTp3CihUrcOTIEQA5h+onT56M9PR0/PTTT6WaCZDmz+pNrq6uuHTpEpycnFC/fv18/3jFOkUwe/ZsADlHYLp164b33ntPaxuVSoXIyEi8evUKf/zxR6lnatu2LV6+fFnodoIgoEePHlizZk2pZwJQ5CNPgiCgbdu2pXo9gqOjI1xcXODq6qpe1r59e7i6usLNzU1j24CAAOzZswe///57qeXJ9fnnn6N+/fpaf4uHDh3Crl27sHPnTgBAamoqJkyYgFq1amHVqlWlnitXp06d8PHHH2PmzJmiPWdRtW7dGt7e3vnexy5l3GMvpg0bNhR7dLDS9u+//+Lbb7/VWt6+fXtER0fjyZMnsLCwgJ6eHlxcXESbdlOKP6s3Xb16FXPmzJHMrVBVqlTBxYsXoVAocOrUqXy3MzU1Fe3NMDIyErdu3YKzszMmT56c58VxCoUCpqam6NChgyiZACAiIgIXL16Ep6cnhgwZAjMzszy3MzMz0xqC9l1LTEyEtbW1xrL09HS0adNGa1tbW1usXbu2VPPkunPnTp6/Jz169MCsWbPw9OlTmJqawsjICBMnTsSMGTNEyZXr1atXcHJyEvU5i6patWpo3LixrmO8FRZ7MQ0aNAjh4eHYtGkTqlSpUuC2t2/fxqRJk0o9U7Vq1XDv3j20bt1aY/k///wDhUKhMenD8+fPRTukJMWf1ZsMDQ3xwQcfiP68+Zk/fz6AnOFl9+/fL4lTJgqFAs2aNcPkyZMxdOhQmJqa6joSAMDExAQ9e/bEoEGD4O7urtOL9ho0aIDTp09r/A1aWVkhJiYGdnZ2GttevXoVtWvXFiVXxYoV8eTJE63l8fHxAHL21F//98zrPHJpsrGxwf379/P8AKRrX3zxBfbt24f27dvrOkqxsdiLacGCBRg8eDDWrl0Lf3//ArdNSkoSJVO3bt3g5+eHOnXqqCc4uXXrFubOnYs6deqoz5nlXkTz5htNaZHiz+pN3bp1Q3h4uKTmqAaA3377TbQ3/6LKPR2RnJyM69evIz4+Ht26dYOJiUmeV4OLJXdsepVKhQcPHiA+Ph7NmzdH1apVRcswfPhwLFy4EK9evcLo0aNRv359TJkyBYsWLYKVlRWaNGmCjIwMhISEYM2aNZgwYYIoudq3b4+VK1eiWbNm6r3PZ8+e4bvvvsN7772H+vXrAwAePnyIlStXiv5Bct68eZgyZQpq1qwJR0dHSU2B6u7ujtmzZ6NPnz7o0KFDnpPXKBQKneyQFIbn2N/CnTt38OWXX2LKlCn4+OOP893u+vXrGDx4MKKioko1T2JiIgYPHownT55AX18f+vr6SE9Ph6GhIX788Uf17TXdunWDSqVCUFCQaFd5S+1n9aa4uDjMmDEDTZs2Vc+iltcpAbGvigdyDuXu3bsXf//9N+Lj47Fw4UI0atQIN27cQPXq1dVvymLy8/PDpk2bkJ2dDYVCgYMHD8LKygq+vr64d+8eVq5cqZNbp/bs2QN/f3/1B8TcXOvXr8ezZ8+0rj8pDatXr0ZgYCCUSiVq1qwJCwsLxMXF4enTp6hSpQpevXoFlUqF/v37Y9myZaLcfvfo0SMMHDgQr169Qt26dWFoaIiHDx8iKysLfn5+6NOnD4Ccc9251960atWq1HPlGjRoEFJSUhATE4MKFSrkeU2Jrq6K37x5M5YtW1bgNmJMxPQ2WOylKDU1FTdu3BDlvtVXr14hKCgIV65cQYUKFdC4cWMMGzZM4/aV8+fPw9rautDD4rog5s/qda/PqKbreeJf9/TpU4wcORIPHjxAjRo1kJSUpC6ruXPn4tdff8XOnTtFPQe4ZcsWLFu2DM7OzujRowfc3d0REhICKysrnDp1CtOnT8fYsWNFH4vg8OHD+Prrr9GhQwf06NEDCxcuVOfav38/FixYgK+//houLi6lnuXx48c4evQorly5gpiYGKSlpaFChQqoVasWrKys0LdvX9GOmOWKi4vD6tWrNd4bRo8erVHghw4dQtu2bUU/nVHUkd50MRBT586d0aBBA3h6esLCwiLfD2JSG5AJYLFTOVfUKVzFLqvZs2cjIiICfn5+sLOzg5WVlbqsUlNTMXbsWFhYWGDlypWiZRowYAC6du2qvsDq9UwAEBQUhG3btpXqvOd5cXZ2RrNmzbBo0aI8c61ZswbHjx/XmO+eqDCFTdsqZTzH/pb+++8/xMbGokGDBvmeCxV7NLW4uDiNLBkZGdi1axeioqJgYGAAOzs79OvXT/RDpbGxsfjtt99w69YtPHv2DBkZGahUqRJMTU3RokULODk5oUaNGqJmyuXp6amT5y3M2bNnMX369Dz37oyMjDB+/Hj1hXZiefjwIbp27Zrv+pYtWyI2NlbERDnu379f4NXc7du3R2BgoIiJCpacnIzTp09j4MCBuo6iQde5njx5gvj4eCgUCtSuXVvn15jY2dkhJiZGpxneFou9mNLT0zF37lyNT//du3fHt99+q3W1cHx8PNauXVvqxZ6SkoLJkycjJSUFBw4cAJBT8sOHD9f4xdyzZw9++ukn7N69G5UrVy7VTEDO/cNLly7F9u3boVQqoVAoULVqVRgYGCAzMxOpqanYvXs3Fi5cCHd3d9Fuw8vLf//9h0uXLiE+Ph56enqoXbs22rVrp7M3l+fPnxd4Dr1WrVp5DhRTmipXrlzgQC9xcXGiXrCWS19fHxkZGfmuf/78OSpVqiRiooI9evQIs2fPllyx6yrXvn37sG7dOq2r999//31MmzZNZ7fDLVy4ELNmzQKAfC+eAyDJ4XhZ7MW0ceNGnDhxAkOHDoWVlRXu3r2LvXv34vPPP8eWLVvQsGFD0TN9//33uHbtGqZPn65etmzZMrx8+RJ+fn7qUa/OnDmDxYsXY+XKlepf2NIUGBiIHTt2YOzYsRgwYAAaN26scatdZmYmoqKiEBISgrVr16J69eoYOXJkqed6XVZWFubOnYsjR45o3W+vr6+PUaNG6WTwjDp16uDSpUv53gZ05swZ0c+H2tvbY82aNbCxsYG5uTmA/xt7IDo6Gj4+Pjq5NcjGxgYBAQFo27at1uhzSUlJ8Pf3h62trei5qHBHjhzBvHnzYGVlhY8//himpqYQBAFxcXE4deoUPD09ERgYiM6dO4ue7dNPP4VKpVKPvJgXDikrE8ePH4e7u7vGXvjgwYPh4eEBV1dX7Nq1S/T7fM+cOYPZs2fj888/Vy87e/Yspk6dir59+6qXDRw4EC9fvkRgYKAoxX7gwAF4enpi4sSJea43NDREq1at0KpVK9SoUQM7duwQvdjXr1+P48ePY+TIkXB0dNR4YwkNDUVwcDDMzc0xevRoUXN9/PHHWLduHQwMDNT/hi9fvkRUVBQOHz6MoKAg0Y9weHt7Y+jQoejTpw+sra2hUCiwaNEida7q1atjypQpomYCAC8vL4waNQp9+/ZFp06doFAo8OOPPyIjIwNhYWEQBAFLliwp1Qy7d+8u8ra5Q+GKQaq5cgUFBWHQoEHqWxZfN23aNLi7u2P9+vU6KXYnJyedDJr1LvDiuWKysbHBxo0btfak/v33X/VV6Fu3boWRkZFoE5tYW1tj06ZNGplsbW3x008/ae2pXLhwARMmTMDVq1dLNROQc8518+bNRRp84vLlyxg9ejSuXbtW6rle17t3bzg7O+f74WPZsmU4d+4cjh49Kmqu7OxsTJ8+Hb/88ovWVfuCIKBXr15YsWKFKLdMvS42NhYBAQEIDw9HXFwcAMDCwgIODg5wc3PT2QyCN2/ehJ+fHy5cuIDMzEwAOYOz2Nvbw8vLCy1atCjV53/97oqiEOs2KanmymVjY4O1a9eiY8eOea4/c+YMpkyZgr/++ku0THLAPfZiMjU1xX///adVVo0aNcKGDRvg4uKCSZMmISAgQLRMjRs3xsGDBzUy2djYIDo6WqvYw8PDUa9ePVFy1apVC9HR0UUq9lu3bulkRLPHjx8XePuRo6OjerYuMenr68Pf3x9Xr17FuXPn1COF5ZaomPcav87c3DzP4Yt1rVmzZvjxxx+RnZ2N5ORkADkj04k14EnXrl1x69YtLFu2rNDnvH//Pr777rtynSuXQqFAdnZ2vuulMGCNLgc+elss9mKyt7eHv78/6tevr1VYLVu2xLp16zBp0iS4uLhg+PDhomSaMGECpk6dimfPnmHMmDGws7PDzJkz4e3tDTMzM9ja2iIxMREHDx7Epk2b1BONlLY+ffrA19cXCoUC/fr1Q/Xq1bW2ef78OQ4fPgw/P78i39P6LlWpUgUJCQn5rn/+/LkoFxrmJ/dUhdQolcp8p7jV5cVE+vr6qFWrlujPu2zZMgwcOBC//fZboYPhiDmOhFRz5bK0tMTBgwfRpUuXPA9779+/H5aWlqLnyiWFgY/eBou9mL766iv88ccfGDVqFBYtWoTPPvtMY32HDh2wbds2TJo0CbNmzRLlHE3fvn3x6tUrLFu2DGfOnIFCocB7772HzMxMjakhK1SogHHjxol2Hvurr77CvXv38O2336qnjDQxMYGhoSGysrKQmJiI+Ph49WhcYt8rDuTc0hIYGAg7OzutK+BzDzvrahzr5ORk/P3333j69Gm+Y3iLOXlNYmIiFi9ejPDwcDx//jzPbXRxMZEU5vR+77334Ovri9GjR8PW1hb9+/cvcHuxzoBKNVeu8ePHY/Lkybh37x66deum/huMjY3F77//jn/++Qfr168XNVOuw4cP45tvvtEY+CiXmZkZ1q5diwYNGogy8FFx8Rz7W3j58iX27t0Le3t7NGvWLM9tUlNTsXHjRly8eFG0UZPS0tJw+vRp/P3333mOetWrVy+dTJRx4cIF/Prrr7hz5w4SExPV97G/PhqXrvZK79y5g2HDhiEjIwMtWrRQzxAWFxeHGzduwMjICDt27BB9lqdz585hypQpSEtLy/fNVuzzoV5eXjh58iSsra1Rr169fPfM87oQqjTNmzevSHN6i/F3qFKpoFAoCvxAn5ycjFOnTmHQoEGlnkfquYCcC5L9/Pzw33//aSz/4IMP4O3tjR49eoiaJ1dZHviIxU7l3sOHDxEQEIDIyEjExcVBoVDA3NxcfUGYLj4Mffrpp0hNTcX48eMLnCdezCF47e3tMWHCBIwfP1605ywKKc/pTUX35MkTjb8/XQ9QY2Njg/Xr16unIn6z2C9evIixY8eKfsFvUfBQfCkSe+S5otBFJimO0ve6Bg0alPrtUMX14MED+Pr66mxvJT82Nja6jqBFynN6U9FZWFjo7K6KvJS1gY9ex2IvRWKNPFccYmaS4ih9ZUXNmjUlN1mPvb09rl69Krm5s6U2p3fuLWaFMTIyQtOmTTFu3Dg4OjqWm1wuLi743//+h0aNGhXp/LRCocCWLVveeY7ClOWBj1jsVGqkOEofADRt2hT79+9Hs2bNivRmp4sLwoYNG4bdu3fDwcFB1OctyDfffANPT0/o6+vDyckp39sTxb4qXmpzeg8dOhQ3b97EtWvX8MEHH+D999+HQqHAgwcPEB0dDRsbG9SpUwcJCQm4desWvvzyS6xevbrUj85IJdejR4+QlZWl/n+pksLAR2+L59iLacWKFUXe9unTpwgJCSn1C5ykmAkA+vXrh379+mnshUdFRcHDwwMKhUJjlD6xBvMBcmZO8/T0RJ06dYp854LYF4T99ttv2Lx5M1JTUwucJ17Mq+Lbtm0LlUpV4Bj1uvgQJLU5vSMiIjBr1iysXr0a1tbWGuuuX78Ob29v/PDDD2jZsiVSUlLg4eGBjIwM7Nmzp1zmkjJdD3z0tljsxSTFkZykmAmQ5ih9xaVSqaBSqUQf4S33Ap2CiH1VvFQ/BEltTm9nZ2e4uLjkO5nKwYMHceDAAXUesUZXk2Ku1z9k5yU8PBy7d+/GqlWrSi1DUehq4KO3xUPxxTRo0CCEh4dj06ZNhZ4DvX37NiZNmlQuMwHSHKXvTU5OTggICECTJk3yXH/ixAksW7YMp0+fFjVXcHCwqM9XFN9//72uI+RJrMIuqrt37xY4SI65uTmuX7+u/trAwECUD45SzHXw4EGMGjUq32J/9OgRTp06VaoZCvLq1Su8fPkSpqamqFWrFjIzM3HkyBEkJyfDycmpwBkYdYnFXkwLFizA4MGDsXbtWvj7+xe4be5oReUxEyDNUfpy5U54ERMTg8ePH2tdHAPkjK526dIlPHv2TNRsgLi3sRXH6290QM4MfcePH5fEG11qaqrGv+Off/6JpKQkdOjQAdWqVRMth5mZGbZv34727dvnWYx79uxR53z16hU2bdokyjgJUsrVvXt39dEfd3f3PG/nVKlUiI+PF20I7DdFR0fDxcUF48ePx7hx45CVlYVhw4bhxo0bAIC1a9diy5Yt+Y5lokss9mKqVKkSVqxYgS+//BJHjhzBxx9/XOD2YpzpkGImQJqj9OXKvT1KoVDA3d093+0EQUDbtm3FiqXh+PHjqFGjhnoq1D///BOrV69GUlISnJ2dMXbsWFHzSPWNLjY2FuPGjcPnn3+OMWPGQBAEuLu74+zZsxAEARYWFtiyZQsaNGggSh4XFxcsWbIE3bt3R7t27WBqago9PT08e/YMFy9eRExMDCZMmAAA+Prrr3H+/HmsXbu2XOWaOXMm/vzzT2zbtg21atXK84O1QqGAnZ0dxo0bVyoZCuPv7w8LCwv069cPAHDs2DHcuHEDS5YsgZOTE2bNmoW1a9eK8m9XXDzHXopSU1Nx48YNSe19iZ0pd5S+du3aoXnz5vlmEnuUvqSkJFy8eBGenp4YMmSIesS5N5mZmaFfv36iT/ywf/9+zJs3D/PmzcOIESPw5MkT9O3bF8bGxmjWrBnCwsIwf/58DBkyRLRMkyZNwpMnT7B27VpYWFggJCQEs2bN0nij09PTE/2NbsaMGfjrr7+wZs0aWFlZITQ0FJMnT8akSZPg5OSExYsXo27duvDx8REt04EDBxAcHIy7d+9qTHLSqFEjfP755+qyOnr0KGrWrKkeBKW85erevTsCAwPzPRWmSx07dsSCBQvQq1cvADlHFv777z8cO3YMABAWFobZs2eLdlFmsQj01mJiYoSsrKx818fGxgp//fWXeIEEaWYSBOnmmjVrlhATEyP68xZm0KBBwv/+9z/116tWrRKaN28uPHnyRBAEQQgMDBQGDRokaiYHBwfhxIkT6q8nTpwo9OvXT/31uXPnhE6dOomaSRAEoVOnTsLhw4fVX0+ZMkXo1q2b+uvQ0FDB0dFR9Fy5EhMThdjYWCE9PV1nGfIitVwZGRlCbGysEBcXV+B7hVhatmypfk/Kzs4W7OzshGXLlqnX//XXX0KLFi10lK5gerr+YFGWOTk54fbt2/muv3r1Ktzc3ERMJM1MgHRzLV26FHXq1EFsbCzCwsJw+PBhHD16FBEREUhJSRE9T65///1XvacAAKdOnUL79u1hbm4OAGjdurXW2NqlLSUlRX1kQ6lU4s8//0TXrl3V66tWraq+clhMz58/1zi3HxERgW7duqm/rlWrVoEz+JU2ExMT1K5dGxUrVtRZhrxIJdfmzZvRs2dPWFtbw9HREV27dkXLli0xZMgQHDhwQGe5zMzM1H9jERERSEtL0/h9j4mJyfPWSingOfa3EBISAiDn/OupU6cQHR2ttY1SqcTRo0fVAzGUx0xSzpXr+fPnmDlzJs6cOQPg/64/UCgUMDAwQL9+/TB//vw8zwGWpgoVKqhvqUlOTkZUVJTGWOgqlarAeaxLQ+4bnY2NjaTe6GrWrKmer/7y5ct4/vw5unTpol4fHx8v6sVzr18Ylh+FQgEjIyM0a9YMLi4uaNq0abnMtWrVKqxbtw516tTBoEGDULNmTQiCgGfPnuHChQuYO3cuEhISdPKhv3v37vDx8cGNGzfw888/o0GDBupTmE+ePMGPP/4Ie3t70XMVBYv9LWzatAl3796FQqHAmjVrCtx22LBh5TYTIN1cuRYuXIgzZ85gwIAB6Nixo/qNJTExEWFhYTh06BAUCoXo92Y3bNgQp0+fRps2bbB9+3YAOW80uS5fviz65DRSfaNr3749/P39ERcXhz179sDMzEw9Yt+rV68QHBws6hj3H3zwAZ48eYJ79+7ByMgI9evXh0KhwKNHj5CSkoIPP/wQRkZGSEhIUB8h2rx5c6kPiSvFXHv37kX//v2xfPly6OlpHkBWqVSYPn06tm/frpNi9/LyQlxcHPbu3QtTU1P4+/urPxitWbMGiYmJmDp1qui5ikSX5wHKsqSkJMHS0lLYtWuXcOHCBa3/IiMjhX/++afcZ5JyLkEQhNatWwuBgYH5rl+9erXQpk0bERPlOHTokGBpaSm0a9dOsLKyEqZNm6Zed/DgQcHa2rrA3KUhJSVF8PLyEuzs7ITevXsLt27dUq+bM2eO0LlzZ+HRo0eiZhIEQYiLixM+++wzwdLSUmjdurUQHh6uXjdr1izB1tZWI2tpu3HjhtC1a1fh2LFjQnZ2tnq5SqUSfvnlF6Fv377Cv//+KwiCIDx48ED4+OOPBRcXl3KZq2XLlsLFixfzXR8RESG0atWqVDO8jYcPH0rm2oS8sNhL4MCBA0JycrKuY2iQYiZBkG4uGxubAt9YLly4INjZ2YmY6P+cPn1aWLhwoRAYGChkZmaql69evVpYsmSJoFKpdJIrLw8fPhTS0tKEx48f6yxDcnKykJGRobHs+vXrQmxsrKg5RowYIWzdujXf9du2bRPc3NzUX//666+Cra1tucw1aNAg4dixY/muP3r0qODs7FyqGeSIh+JLYNCgQQByRnP7+++/ER8fj6FDh8LMzAyJiYkwNjYWfehBKWaScq42bdrgxo0baN26dZ7rb968qbNZw7p27apxDjuXFGfAq1+/Ps6fPw9vb2+cP39eJxmMjY2RmZmJR48ewczMDIaGhvneYlmarl27VuDojh9++CH8/PzUX1evXl2UsSWkmOvrr7/G0qVLYWFhoTVT2p07dxAQEIC5c+eWaob8pKWlITAwEGFhYUhISIBSqdTaRsw5CIqDxV4CmZmZmD17No4fPw5BEKBQKNCzZ0+YmZlh3bp1uHz5MjZv3gxjY+NynUnKub777jtMnTpVPae3hYUF9PT0kJCQgDNnzuDYsWPw8fFRTwCRS6wZzH7//Xf1ByFPT0/UrVsX//33H4yNjVG9enVRMrwuLCwMx44dw5MnT6BSqdTLVSoV7ty5o3WeVCxnz56Fv78/bt26BYVCgQMHDsDKygo7d+5Eenq6qIP5GBsb48iRI/neA37y5EmND7F79uxBo0aNymWujRs3IjU1FcOHD4eJiQnMzc3Vf39xcXGoU6dOnqNp7tq1q1RzAcCSJUuwb98+mJqaom7dunmOjidVLPYSCAwMRGhoKLy8vNCjRw+NEd8++eQTnDhxAuvXr8esWbPKdSYp5+rduzeys7Nx9erVPN9ABEFQjzyVS4wZzF6+fAk3Nzf89ddf6gl+xowZAwDYsGEDwsPDsWPHDvXtb2L4+eefMXXqVCgUCrz33ntITk6GsbExXr58iezsbNja2upklLBz587B3d0djRo1wpgxYxAUFKRel5qaih9++AE1a9bEJ598IkoeZ2dnBAQEIDo6Gg4ODjAzM4NCocCzZ88QGRmJixcv4vPPPweQM7jOsWPHRJn+U4q57t+/DwCwsLAAAPXtknp6erCwsIAgCOo7HsR2+vRpjB07VuNulLKCxV4Chw8fhoeHByZOnKi1rlWrVvD09MSaNWtELSspZpJyrv79+4s6lG1RrVq1Cnfv3oWPjw+6deumcTrgyy+/VA8vu3jxYtEybdy4EY6Ojli+fDmqVasGKysrBAUF4YMPPsDWrVvxxx9/oGPHjqLlybV+/Xp07doVa9euhZ6eHjZv3qxeN378eMTGxiIoKEi0Yvfy8kKFChWwfft2BAYGaqyrUqUKhg0bpv49b9WqFdq3b68+VVXecv3++++l+v1LIvcoXlnEYi+B2NjYfM/NAjnnrBITE0VMJM1MgHRzSXXGspMnT+Krr77Kc9z/OnXqwMPDQ/Ts//77L6ZPn651T7ihoSHGjRuH+Ph4+Pj4YMGCBaLmunXrFlauXJnvaYCePXti7969ouUZPXo0PvnkE5w8eRJpaWlISEhAZmYmjI2N0bBhQ40JWIo65aycc+XKzMxEfHy8+voIXbOxscH9+/d1do1NSXDkuRIwNjYucPSve/fuiT5ghxQzAdLNlSs5ORlhYWE4cOCAega8jIwMneVJSEiApaVlvuvr16+PFy9eiJgo5zz66+dgK1eurDHSXM+ePfHrr7+KmilXQRdeZmVliXph5r///ov58+ejY8eOWLRoEWJiYtCiRQs0btxYlOlZy1qus2fPwtnZGdbW1ujZs6f68PzOnTs1jr6Ibd68edi+fTt+++23PC+ckzLusZdA586dsXLlSjRp0gQtWrQAAPVh3TNnzmD58uXo2bNnuc8k5VwA4Ofnh02bNiE7OxsKhQIHDx6EiYkJVq9ejXv37mHlypWi70GYmpri9u3b+e4t/P333/lOXFNamjZtil27dsHa2hoVK1ZEvXr18Ntvv6lnn4uPj0daWpqomQCgefPm2Lp1Kzp06KC1156VlYWAgABRr44/d+4cLl68iF9++QW//vorQkNDUbVqVfTs2ROffPIJ2rdvr5PTP1LMJbXrI17n7e2N1NRUTJ48GRUqVMhzx0OqV8VzdrcSSEhIwPDhw/Hff/+hbt26iImJQYMGDZCcnIwXL16gbt262Llzp3ru6vKaScq5tmzZgmXLlsHZ2Rk9evSAu7s7QkJCYGVlhVOnTmH69OkYO3as6LeYLVq0CEeOHMH//vc/9OzZE82aNcOhQ4dQp04dHD58GMuWLcOwYcMwe/Zs0TL9/vvvmDx5Mjp37ozAwECsWbMGa9euRbdu3WBubo5jx47B0tISwcHBomUCcsrBzc0NVlZW6NGjB9asWYMxY8ZApVLhxIkTePr0KTZs2KCT8/8AcOnSJXWZxsbGolatWujfv7+o/3ZSzTV8+HAYGxurr4+wsrJS//0BOX8Hly9f1smY8UU9HSHWjJTFwWIvodTUVOzYsQPh4eGIi4sDkHOFp4ODA7744gvRp/uUaiap5howYAC6du2KGTNmAIDWG0tQUBC2bduG0NBQUXOlpqZi3Lhx+Pvvv6Gvr4/s7GxUrlwZ6enpEAQB1tbW2LRpk+g/s/Pnz+Px48f47LPPkJ6ejmnTpuH333+HIAiwtLTEihUr0LhxY1EzATlXMC9fvhz37t3TWN64cWNMmzZNYzheXTpx4gR8fX3x6NEj3Lp1S9dx1HSVy9bWFitXrlSP7f/m39+FCxfg5uaGK1euiJapqNLS0hAVFQU7OztdR9HCQ/ElZGRkhAkTJmDChAm6jqImxUyANHM9fPgwz0FgcrVs2RKxsbEiJsphZGSEHTt24Jdffsnzg1CvXr10MqDP6/dAV6pUCWvXrsXLly+hUql0cl89AEyZMgWenp44duwYYmNj1T8rc3Nz1K5dWyeZXnfr1i2cPHkSoaGhuHv3LipVqoS+ffvqOpZkcknp+ggnJycEBARozQ9/5MgRODo6alw4ev/+fYwYMUJSH9BysdjfgdwrTPO7wOL9998XOZE0MwHSy1W5cuUCr8aPi4vTyZGE6Oho1K1bF/369dO6j15XpDoS119//YXY2Fg0btwY5ubmot7bX1CmkydP4tdff0VMTAz09fXRqVMnuLu7o3v37qhcuTJzQXrXR8TExGgNRgXkjJB38OBB9ZEEqWOxl8CDBw8wc+bMQg8TifmJToqZAOnmsre3x5o1a2BjY6MuhNwLiKKjo+Hj46O+OExMQ4YMwebNm0WdlawwUh2Ja86cOVixYgWAnJnedHEk43WdO3dGQkIC9PT0YG9vD3d3d/Tu3VvUqWPLSq6JEyfCzc0Nn332GXr06AGFQoFDhw7h4MGDGtdH6FpZO2PNYi+B7777Drdu3ULfvn1Rv359SbzRSTETIN1c3t7eGDp0KPr06QNra2soFAosWrQIL1++RFRUFKpXr44pU6aInqtdu3b4/fffJVXsUh2Ja/369Xj16hXGjx8PPT09VKtWTev2LTGPJNSrVw/u7u7o06cPatasKcpzFoUUc3Xu3Bnr16/H8uXLsXr1agBQ3+LWuHFjfPPNNzq76LEsY7GXwNWrVzFnzhwMHTpU11HUpJgJkG6uRo0a4dChQwgICEB4eDgMDAxw5coVWFhY4IsvvoCbm5t6uEsxDRgwAMHBwfjiiy/QsWNH1KhRI897jcX8eUp1JK5q1aqhWrVqot/+l5+dO3fqOkKepJrL0dERjo6Okrw+oqxisZeAoaEhPvjgA13H0CDFTIB0cwE5byLffvutrmNoyL1KH8i5Zz0vCoVC1GKX6khcUrzdiIouMzMTkZGR6NSpk/p0WGZmJo4fP44ePXpIYhS6sobFXgLdunVDeHg42rZtq+soalLMBEg3F5Az6t3x48fh6empXpaWloZly5ZhzJgxOrnQUOx7wYti3rx5mDJlCmrWrAlHR0edn8umsi8+Ph6urq54+vQpLly4oF6ekZEBb29vfPTRRwgKCkKNGjV0mLLs4X3sJRAXF4cZM2agadOmcHJyQq1atfIcuUnMYpBiJinnunr1KkaPHg0DAwNERkaql6empqJjx45QKBTYuXOn5K+GFQQBc+bMwVdffVVqV4UPGjQIKSkpiImJKXMjcZE0zZw5E3/++Sfmzp2rdZrnjz/+wPz589G2bVtRZr8Dcu6jX7NmjdZYDH379sW6des03p+io6Px1VdfSfJ2NxZ7CVhZWamn1CxoKEYx/+GlmAmQbi5XV1dkZWVh1apVMDEx0ViXlpaGSZMmQU9PD5s2bRI1V3EplUq0aNGiVG/JKcsjcZE0denSBbNnz873/vnjx4/Dx8cHp0+fFiVP7vvUm/J638pdJsVi56H4Epg0aZLkpvyUYiZAurmuX78Of39/rVIHcqayHD9+PLy9vXWQrPhK+zM6C5vetZSUlAInfzI1NdWYaKi0iT10dGlhsZfA6+dkpUKKmQDp5gJyrvbOT3Z2dpmb2YmorLC0tMShQ4c0RjTMpVKpEBwcjA8//FC0PCx2UktOTsb169cRHx+Pbt26wcTEBBkZGahYsSIzSTxX69atERgYiLZt22oNifro0SP4+vpKcixoIjmYMGECJk2ahH///Rf29vaoWbMmVCoVYmNjcerUKTx8+FB9fzsVHc+xl1BeU35aWVnB19dXZ1N+SjGTVHPdu3cPQ4cOhVKphJWVlcYbS1RUFKpWrYpt27bho48+EjVXcSmVSjRv3lxjAg2isuDkyZNYtWoV7t69q7G8YcOGmDp1Kvr06aOjZGWXXuGbUH62bNmCH3/8EQMHDkRAQIDGOc7WrVsjMjJS9OEQpZhJyrkaN26MQ4cO4dNPP0ViYiLCw8Nx4cIFZGZmYvDgwdi/f7/kS52orIqIiECvXr1w9OhRnD17Fvv27cOBAwcQERGBEydOoFevXpIYUrbMEeit9e/fX/Dx8VF/bWlpKdy6dUv99ebNmwUnJ6dyn0nKueQiOztb62dKJHWWlpbC/PnzhdTUVK11d+/eFQYPHixYWVnpIFnZxj32EpDilJ9SzARIN9frlEolMjMz8/yPiN69adOm4ciRIxgwYADOnz8PIOfujg0bNmDgwIF48eIFfvrpJx2nLHt48VwJSHHKTylmAqSbKzExEYsXL0Z4eDieP3+e5zYKhQI3b94UORmR/E2YMAEff/wxlixZAldXVzg7O+POnTuIiorC+PHj8eWXX3JI2bfAYi8BKU75KcVMUs717bff4uTJk7C2tka9evXK7JuIQqFAnTp1JDNrHlFRmZubY9WqVfDz80NgYCD09PSwfv36Ao/wUcF4VXwJ/Pvvvxg6dCgyMjJgbW2NyMhItGnTRmPKz927d6NRo0blOpOUc9nb22PChAkYP368qM9bVGlpaUhISMj3XnpdjGNP9C4lJibCx8cHhw4dQt++ffHPP//g33//hYeHB1xdXTknwVtgsZdQbGysesrP3CkHLSws4ODgoLMpP6WYSaq57O3tsXbtWsnNWPbgwQPMnDkTV65cKXA7KQ5nSVRUu3btgp+fHwwMDPDdd9/ByckJSqUSAQEBCAgIwAcffICFCxeiVatWuo5aprDYqVzz8vKCjY0NXF1ddR1Fg6urKy5dugQnJyfUr18/30Pschkpi8onKysrDBgwAPPnz4exsbHGujt37mD27Nm4desWr3EpJhZ7CcXExCArK0t9CPnZs2fYuXMnkpOT8fHHH8Pa2pqZJJwrISEBnp6e6Nu3L5ycnGBqaprndmKfe2/Tpg1mzJgh6nzrRGL77bfftGZ1e51KpcLGjRvh5uYmYqqyj8VeApcuXcK4cePg4eEBNzc3vHr1Ch9//DEePXqEqlWrIj09HZs2bYK9vX25ziTlXG3btoVKpUJaWlq+2+jiqngHBwesXLlSkvPXE5G08ar4Eli7di1sbW0xfPhwAMCBAwfw6NEjBAUFoX379pgzZw4CAwNFLSspZpJyLicnpwJnnRMKmWa2tHTr1g3h4eEsdiIqNhZ7Cdy4cQPLli1T33/922+/oXnz5urbtj755BNMmzat3GeScq7vv/9e9OcsCi8vL8yYMQNLly6Fk5MTatWqlecHDF4VT0RvYrGXQEZGhvqCj8zMTFy6dEnjIqyKFSsiJSWl3GeSWi4nJycEBASgSZMmBZ7fy6VQKBAaGipCsv/TtWtXKBQKREZGIjg4ON/teFU8Eb2JxV4CtWvXRnR0NGxtbREaGorMzEx069ZNvf7+/fuoWbNmuc8ktVyvD+RSp04dUZ6zuCZNmqSTUwBEVPax2Eugf//++P7773Hu3Dn88ccfaNasmfp+y2vXrmHt2rXo0qVLuc8ktVxbt27N8/+lxNPTU9cRiKiMYrGXgIeHB9LT0xEWFoZWrVph0aJF6nX79+/He++9B29v73KfScq5pO6///7DpUuXEB8fDz09PdSuXRvt2rVD7dq1dR2NiCSKt7uVkufPn2sNuKBrUswESDeXLmVlZWHu3Lk4cuQI3vwT1dfXx6hRozBz5kwdpSMiKeMe+zuiVCo1xvOuXLmyerpPXU0sIsVMgHRzScn69etx/PhxjBw5Eo6OjjA1NYUgCIiLi0NoaCiCg4Nhbm6O0aNH6zoqEUkM99hLQIpTfkoxk5RzSVXv3r3h7OyMiRMn5rl+2bJlOHfuHI4ePSpyMiKSOu6xl4AUp/yUYiZAurmk6vHjx7Czs8t3vaOjI7Zv3y5iIiIqK1jsJXDhwgVMnz5dUlN+SjETIN1cUlWlShUkJCTku/758+eoXLmyiImIqKzQ03WAss7GxkbXEbRIMRMg3VxSZGdnh8DAQPX0tq/Lnf5WalPNEpE0cI+9BOzt7XH16lVJvcFKMRMg3VxSNXXqVAwbNgxOTk5o0aIFzMzMAABxcXG4ceMGjIyMsHz5ch2nJCIp4sVzJSDFKT+lmEnKuaTs4cOHCAgIQGRkJOLi4qBQKGBubg4HBwe4ublJdtQ8ItItFnsJSHHKTylmAqSbi4hIbngovgQKm/JTF6SYCZBuLiIiueEeO5FENG3aFPv370ezZs1gZWVV6AchHuEgorxwj/0dUKlUePDgAeLj49G8eXP1nOPMpE2quaRg4MCBeO+999T/zyMcRPQ2uMdeQnv27IG/vz+SkpIAAAcPHoSVlRXWr1+PZ8+eYd68ecwk8VxlkUqlgkqlgr4+P5sTkSbex14Chw8fxjfffANLS0vMmzdPY7IOMzMz7Nq1C8HBweU+k5RzSZWTkxOio6PzXX/ixAn06NFDxEREVFaw2EsgKCgIgwcPxubNmzFixAiNdZ999hnc3d2xa9eucp9Jyrmk5vHjx3j8+DFiYmLU///mf7lTuT579kzXcYlIgngcrwTu37+PGTNm5Lu+ffv2CAwMFDGRNDMB0s0lNU5OTgByLoxzd3fPdztBENC2bVuxYhFRGcJiLwF9fX1kZGTku/758+eoVKmSiImkmQmQbi6piYiIwMWLF+Hp6YkhQ4aoR5x7k5mZGfr16ydyOiIqC1jsJWBjY4OAgAC0bdsWRkZGGuuSkpLg7+8PW1vbcp9JyrmkxsTEBD179sSgQYPg7u7O0eWIqNh4VXwJXL16FaNGjYKxsTE6deqEgwcPol+/fsjIyEBYWBgEQcC2bdvQsmXLcp1JyrmkLjY2Fnfv3kViYiL09PRQo0YNtGzZEtWqVdN1NCKSKBZ7Cd28eRN+fn64cOECMjMzAQAVK1aEvb09vLy80KJFC2aSeC4pev78OWbOnIkzZ84AgPouAoVCAQMDA/Tr1w/z58/XOvpBRMRif0eys7ORnJwMIOdwaoUKFXQbCNLMBEg3l5RMnz4dx44dw4ABA9CxY0fUrFkTgiAgMTERYWFhOHbsGAYOHIilS5fqOioRSQyLvZg6depUrO0VCgXOnTtXSmlySDETIN1cZUGbNm3g5uYGNze3PNevWbMGW7ZswZ9//ilyMiKSOl48V0zvv/++xte59xzXrVsXZmZmEAQBT548QVxcHBo2bAhLS8tymUnKucoCpVKJ1q1b57u+Xbt22Lx5s4iJiKjMEOitRURECL179xaio6O11l27dk3o2bOnEBERUe4zSTmXVI0fP17YsmVLvus3b94suLm5iZiIiMoKHoovgcGDB2PUqFH49NNP81wfEhKC4OBgHDhwoFxnknIuqXr8+DGmTp2K7t27w8nJCRYWFtDT00NCQgLOnDmDQ4cOwcfHB3Xr1tV4nKGhoY4SE5FU8FB8CURHR6N27dr5rjc3N8e9e/dETCTNTIB0c0lV7969kZ2djatXr8Lf319rvSAIWgPUcBpXIgJY7CVSvXp1HD16FO3bt89z/S+//CL6/cZSzARIN5dU9e/fn9O2EtFbYbGXgLOzMwIDA3H37l20b98epqamAKC+Jenq1asYM2ZMuc8k5VxS9f333+s6AhGVUTzHXgKCIGDdunXYvn07EhMTNdZVr14dQ4YMwZQpU0SdM1uKmaScS+qSk5Nx/fp1xMfHo1u3bjAxMUFGRgYqVqyo62hEJFEs9ndAEAQ8evQICQkJEAQBNWrUQIMGDaCnp7tZcaWYScq5pMjPzw+bNm1CdnY2FAoFDh48CCsrK/j6+uLevXtYuXIlL5YjIi0sdiIJ2rJlC5YtWwZnZ2f06NED7u7uCAkJgZWVFU6dOoXp06dj7NixmDx5sq6jEpHEcDeJSIL27t2LsWPHYtGiRXB0dNRY161bN3h6eiIkJEQn2YhI2ljsRBL08OFDdO3aNd/1LVu2RGxsrIiJiKisYLETSVDlypW1LjJ8XVxcHKpWrSpiIiIqK1jsRBJkb2+PNWvWaOyV597XHh0dDR8fn3zHBCCi8o0XzxFJ0L///ouhQ4ciIyMD1tbWiIyMRJs2bfDy5UtERUWhevXq2L17Nxo1aqTrqEQkMSx2IomKjY1FQEAAwsPDERcXBwCwsLCAg4MD3NzcYGFhoeOERCRFLHYiIiIZ4Tl2Iom6d+8eVq9erbEsLS0NCxYswD///KOjVEQkddxjJ5Kgq1evYvTo0TAwMEBkZKR6eWpqKjp27AiFQoGdO3fCyspKhymJSIpY7EQS5OrqiqysLKxatQomJiYa69LS0jBp0iTo6elh06ZNOkpIRFLFQ/FEEnT9+nV8+eWXWqUOAFWqVMH48eNx/fp1HSQjIqljsRNJ1KtXr/Jdl52dDaVSKWIaIiorWOxEEtS6dWsEBgbixYsXWusePXoEX19f2NnZ6SAZEUkdz7ETSdC9e/cwdOhQKJVKWFlZoWbNmlCpVIiNjUVUVBSqVq2Kbdu24aOPPtJ1VCKSGBY7kUTFxMTgxx9/xPnz5xEfHw89PT1YWFjAzs4OEyZMQP369XUdkYgkiMVOREQkI/q6DkBEBVMqlfleKGdoaChyGiKSOhY7kQQlJiZi8eLFCA8Px/Pnz/PcRqFQ4ObNmyInIyKpY7ETSdC3336LkydPwtraGvXq1eOeOREVGc+xE0mQvb09JkyYgPHjx+s6ChGVMbyPnUiibGxsdB2BiMogFjuRBNnb2+Pq1au6jkFEZRAPxRNJUEJCAjw9PdG3b184OTnB1NQ0z+147p2I3sRiJ5Kgtm3bQqVSIS0tLd9teFU8EeWFV8UTSZCTkxMUCkW+6wVBKHA9EZVf3GMnIiKSEe6xE0mEk5MTAgIC0KRJEzg5ORW6vUKhQGhoqAjJiKgsYbETSUSdOnVgYGCg/n8iorfBQ/FEREQywvvYiYiIZITFTkREJCMsdiIiIhlhsRMREcnI/wM1h0KhyCVsmwAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x_bars = [i + 1 for i in range(len(clusters))]\n",
"y_bars = [normalized_mutual_info_score(labels, c) for c in clusters]\n",
"\n",
"plt.bar(x=x_bars, height=y_bars)\n",
"plt.bar(x=[11], height=normalized_mutual_info_score(labels, clusters_ensemble))\n",
"plt.ylim([0.85, 0.95])\n",
"plt.xticks([i + 1 for i in range(11)], labels=files + [\"Ensemble\"], rotation=90)\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "d1b7e9e8",
"metadata": {},
"source": [
"## 5. Going further"
]
},
{
"cell_type": "markdown",
"id": "1a257f41",
"metadata": {},
"source": [
"Here, we propose to test combining"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "4a5ffd91",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(150, 4)\n",
"(150,) {0, 1, 2}\n"
]
}
],
"source": [
"data = datasets.load_iris()\n",
"X = data.data\n",
"y = data.target\n",
"\n",
"print(X.shape)\n",
"print(y.shape, set(y))\n"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "6c2f0b42",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"NMI kmeans: 0.7581756800057782\n",
"NMI agglomerative: 0.7700836616487866\n",
"NMI spectral: 0.7979885217013317\n"
]
}
],
"source": [
"from sklearn.cluster import DBSCAN, SpectralClustering, AffinityPropagation, MeanShift\n",
"from sklearn.mixture import GaussianMixture\n",
"\n",
"kmeans = KMeans(n_clusters=3)\n",
"clusters_km = kmeans.fit_predict(X)\n",
"print(\"NMI kmeans: \", normalized_mutual_info_score(y, clusters_km))\n",
"\n",
"agg = AgglomerativeClustering(n_clusters=3)\n",
"clusters_agg = agg.fit_predict(X)\n",
"print(\"NMI agglomerative: \", normalized_mutual_info_score(y, clusters_agg))\n",
"\n",
"spectral = SpectralClustering(n_clusters=3)\n",
"clusters_spectral = spectral.fit_predict(X)\n",
"print(\"NMI spectral: \", normalized_mutual_info_score(y, clusters_spectral))\n"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "5bbf35f5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"NMI: 0.7979885217013317\n"
]
}
],
"source": [
"clusters = [\n",
" clusters_km,\n",
" clusters_agg,\n",
" clusters_spectral,\n",
"] # , clusters_affinity, clusters_shift, clusters_db, clusters_mixt]\n",
"clusters = np.array(clusters)\n",
"\n",
"CoAssociationMatrix = compute_CoAssociationMatrix(clusters)\n",
"\n",
"agg = AgglomerativeClustering(n_clusters=3, affinity=\"precomputed\", linkage=\"average\")\n",
"clusters_ensemble = agg.fit_predict(-CoAssociationMatrix)\n",
"\n",
"print(\"NMI: \", normalized_mutual_info_score(y, clusters_ensemble))\n"
]
},
{
"cell_type": "markdown",
"id": "10d768ca",
"metadata": {},
"source": [
"#### Comments:\n",
"Although ensemble did not allow to reach a better classification, it still allowed to reach a partition corresponding to the best algorithm (here spectral), which was not known a priori."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3e24cf64",
"metadata": {},
"outputs": [],
"source": []
}
],
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"display_name": "Python 3",
"language": "python",
"name": "python3"
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