TP-equation-derivees-partie.../TP-EDP.ipynb
2022-03-16 15:44:41 +01:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 147,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import mpl_toolkits.mplot3d\n",
"import numpy as np\n",
"import scipy.sparse as scps\n",
"import scipy.sparse.linalg as ssl\n",
"import math"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {},
"outputs": [],
"source": [
"def maillage_carre(n: int):\n",
" \"\"\"\n",
" Une discrétisation possible d'une EDP elliptique sur le domaine ]0,1[ x ]0,1[.\n",
" Le carre [0,1]x[0,1] est maille uniquement avec des triangles.\n",
" Les conditions limites sont de type Dirichlet uniquement -> `neumann=[]`.\n",
"\n",
" Args:\n",
" n (int): nombre de points par cote du care => Npts points de discretisation au total\n",
"\n",
" Returns:\n",
" coordinates : matrice a deux colonnes. Chaque ligne contient les coordonnes 2D d'un des points de la discretisation. Ces sommets seront identifies a l'indice de la ligne correspondante dans la matrice coordinates.\n",
" elements3 : matrice a trois colonnes. Chaque ligne contient les indices des sommets d'un element triangle, dans le sens antihoraire.\n",
" dirichlet : vecteur colonne des indices des sommets de la frontiere de Dirichlet.\n",
" neumann : matrice a deux colonnes. Chaque ligne contient les indices des deux sommets d'une arete de la frontiere de Neumann. (neumann est vide sur cet exemple)\n",
" \"\"\"\n",
"\n",
" h = 1 / (n - 1)\n",
" n_pts = n * n\n",
" n_elm = 2 * (n - 1) * (n - 1)\n",
" coordinates = np.zeros((n_pts, 2))\n",
" elements3 = np.zeros((n_elm, 3), dtype=int)\n",
" neumann = []\n",
" dirichlet = np.zeros((4 * n - 4, 1), dtype=int)\n",
"\n",
" # Coordonnees et connectivites :\n",
" e = -1\n",
" p = -1\n",
" x = np.zeros((n + 1, 1))\n",
" x[n, 0] = 1.0\n",
"\n",
" for l in range(n + 1):\n",
" x[l, 0] = l * h\n",
"\n",
" for j in range(n):\n",
" for i in range(n):\n",
" p = p + 1\n",
" coordinates[p, 0] = x[i, 0]\n",
" coordinates[p, 1] = x[j, 0]\n",
" if (i != n - 1) & (j != n - 1):\n",
" p1 = p\n",
" p2 = p1 + 1\n",
" p3 = p1 + n\n",
" p4 = p2 + n\n",
" e = e + 1\n",
" elements3[e, 0] = p1\n",
" elements3[e, 1] = p2\n",
" elements3[e, 2] = p3\n",
" e = e + 1\n",
" elements3[e, 0] = p4\n",
" elements3[e, 1] = p3\n",
" elements3[e, 2] = p2\n",
"\n",
" # Liste des sommets de la frontiere de Dirichlet:\n",
" p = -1\n",
" for j in range(n):\n",
" p = p + 1\n",
" dirichlet[p, 0] = j\n",
"\n",
" for j in range(n * 2 - 1, n * (n - 1), n):\n",
" p = p + 1\n",
" dirichlet[p, 0] = j\n",
"\n",
" for j in range(n * n - 1, n * n - n - 1, -1):\n",
" p = p + 1\n",
" dirichlet[p, 0] = j\n",
"\n",
" for j in range(n * n - 2 * n, n - 1, -n):\n",
" p = p + 1\n",
" dirichlet[p, 0] = j\n",
"\n",
" return coordinates, elements3, dirichlet, neumann\n"
]
},
{
"cell_type": "code",
"execution_count": 149,
"metadata": {},
"outputs": [],
"source": [
"def show(coordinates, u) -> None:\n",
" \"\"\"Fonction d'affichage de la solution u sur le maillage defini par elements3, coordinates.\n",
"\n",
" Args:\n",
" elements3 : matrice a trois colonnes contenant les elements triangles de la discretisation, identifies par les indices de leurs trois sommets.\n",
" coordinates : matrice a deux colonnes contenant les coordonnes 2D des points de la discretisation.\n",
" u : vecteur colonne de longueur egale au nombre de lignes de coordinates contenant les valeurs de la solution a afficher aux points de la discretisation.\n",
"\n",
" Returns:\n",
" None, plots a figure\n",
" \"\"\"\n",
"\n",
" ax = plt.figure().add_subplot(projection=\"3d\")\n",
" ax.plot_trisurf(\n",
" coordinates[:, 0], coordinates[:, 1], u, linewidth=0.2, antialiased=True\n",
" )\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Partie I : maillage triangulaire et conditions de Dirichlet**\n"
]
},
{
"cell_type": "code",
"execution_count": 150,
"metadata": {},
"outputs": [],
"source": [
"def f(x, y):\n",
" # return 2 * np.pi ** 2 * np.sin(np.pi * x) * np.sin(np.pi * y)\n",
" try:\n",
" return np.ones(x.shape[0])\n",
" except:\n",
" return 1\n",
"\n",
"\n",
"def u_ex(x, y):\n",
" return np.sin(np.pi * x) * np.sin(np.pi * y)\n",
"\n",
"\n",
"def u_d(x, y):\n",
" # return np.zeros(x.shape[0])\n",
" # return 1\n",
" return np.ones(x.shape[0])\n",
"\n",
"def g(x):\n",
" # return np.cos(x)\n",
" return 1"
]
},
{
"cell_type": "code",
"execution_count": 151,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n = 10\n",
"coords, elems3, dirichlet, neumann = maillage_carre(n)\n",
"show(coords, f(coords[:, 0], coords[:, 1]))\n",
"# show(coords, u_ex(coords[:, 0], coords[:, 1]))\n",
"# print(maillage_carre(3))"
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {},
"outputs": [],
"source": [
"def raideur(triangle):\n",
" M = np.zeros((3, 3))\n",
" x = triangle[:, 0]\n",
" y = triangle[:, 1]\n",
"\n",
" # calcul de alpha\n",
" mat_alpha = np.array(\n",
" [\n",
" [x[1] - x[0], x[2] - x[0]],\n",
" [y[1] - y[0], y[2] - y[0]]\n",
" ]\n",
" )\n",
" alpha = np.linalg.det(mat_alpha)\n",
"\n",
"\n",
" for i in range(3):\n",
" grad_eta_i = np.array(\n",
" [\n",
" y[(i+1)%3] - y[(i+2)%3],\n",
" x[(i+2)%3] - x[(i+1)%3]\n",
" ]\n",
" )\n",
" for j in range(3):\n",
" grad_eta_j = np.array(\n",
" [\n",
" y[(j+1)%3] - y[(j+2)%3],\n",
" x[(j+2)%3] - x[(j+1)%3]\n",
" ]\n",
" )\n",
"\n",
" M[i, j] = np.dot(grad_eta_i, grad_eta_j)\n",
"\n",
" return M / alpha / 2"
]
},
{
"cell_type": "code",
"execution_count": 153,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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sGyW3MYbz58+T5znHjx/ftKqq+1nun/uDy/zYZy/TySxCSCyWDMi0xFUeShikNKS5i0OO0RltY7HKJ7AJwgpyK1FS4qsMYyXaWKJE85k3LvDOtdv8o6/582wPgtWUW6lUWu0Cu/eF+GGy3I/CgwQrLl++fJdgRX9/P57nobV+6LP+ooyWbzR3vdEHfi+5l5eXOXv2LHv27GHbtm2PPG69lkNKSZ7nvP7662zbto3x8fF11Vo/zgLO85x/+HMneGNiGY1ECENmLGhDyXOwOiXToKygmVh8YcBaXNdDZxqT1OlICUhqnqDZbKEAVymacUTNd8iylKn5Jb7pB36Wr/yTH+Mf/y//79V00+Li4qoqS61WW13gT4LcT8tyPwwPE6w4e/bs6trt7e0lz/P7krzdbn8gyoifGrnvpxn+MHRd7I1Yw+45rbXcunWLqakpXnjhhUe6SBtNoS0sLNButzl27Niqyuh6vttG5IqttcwuR/yvP/saU0sJQoKwgkxIcp3iKUU71SjhgM2w1oB0KbuaTpQT5RkuGryQUFlUnrDcTlGOh84SlIXAlVhAOS4mz0i15tP/7fO8c/UmP/3tf2c13dRd5I1Gg8XFRebn50mShKtXr9Lf378pKTdjzKbXkz/KfV4P7idYcf78eaIo4tSpU6tEXytY0W63VwuQ1gshxE8Cfw6YtdYevc/ve4B/D4xT8PZ7rbU/9bBzPnFy39t3vV43/HFKSbvXe/vtt3Ech+PHj6/r4a6X3NZarl69ytLSEqVSad3Eho2XrF6ZbfKv/ss1GqkBKUg0GGuxOid0HdpJSigNzVQTSktHS9AJC2mOFBLP8bBZhCMhzg0h4LuKJNeUA59mc5nAdWnEMRKLJ8EREgScuXKDr/j738m//85voq+nsnqPurXgQ0ND3Lx5k1qtxuzsLJcvX8bzvNX9+nqCUve7t5vtDTwqqv04UErh+z6Dg4P09fWRZdldghWf/exnefPNN6nVahvVif9p4IeAf/eA3389cM5a++eFEEPARSHEf7DWpg864RPN1awVfe+64et9gI/TvtloNGi32wwPD3P06NF139j1kDtNU9566y2MMY+V5rqX3A+7D29cX+S7fneGRmKIc0GmBWVXFO62FLQzQ9lTZFZghUNsFa40VBxQSlL2JEZnRNYh9DxsFpMYSKwiVIJWlOB7AcpxcF2PWikgyfKV8l2DtjA5u8hf+DvfzuUbU+/6ft1BB0NDQxw8eJDjx49z6NAhHMdhYmKC119/nbNnz3L79m2SJFnX/XmaAbX3irWk7QpWHDhwgGPHjvGX//JfxnEcfuu3fouXX36ZEydOrOuc1tr/Diw+7CNAVRQLp7Ly2fwhn39ylrsbNHv99dc5fvz4ht/KG6kTt9YyOTnJ5OTkamBkI3iUGks3hfaohpJHXWM9lvuN63N89+9MUE8tnlJYa/AdwWI7wXNdtM4xKDpZhrCWUBjAEOeWfCVIFscRjhBILMZahBsgbYavLGlmkEJirCbNwVWWTpzhOA6ZLva9jlRE7TbGGL76f/t+fvR//1954eDe1e94PysbBAHbt29fDUp1G1/WCiv29/c/sJ3zg547X4uHWeTx8XF6e3v5hm/4Bl599dXNzCz8EPArwDRQBf6ytfahFmnTyX1v7rqrlrJRrNdy53nO2bNnUUpx/PhxvvCFL2z4Wg8SX1j70nhQCm29WEvubpR9eXl51ZWt1Wqcn67zrb/4Do1EoIRESoGkuIclz0HYHOM4eEmEVA5oQZSmeL6PYxKSNEN6PlK4dHKDshnoHFcYHMel02piEHiuS+D6pJ02nQxKrou1hqgT4SqBwVAqhWRpSrMT8/Xf8aP82Ld9A0cO7Fq9Lw97pmt7t3ft2rUqrLi4uMjExMRqkcnaIpIPG7nXU8SymZkg4P8JnAL+BLAX+G9CiN+z1jYedMCmkvtB8kePg/WQu1s4smvXLnbs2HHX93ivNelaa86dOwew7r37w9Al99pmkvHxcRqNBjMzM/zuiTP84JsdOjm4EnJrcSREuUCg0HmKEBIlDCiXzFh8CUHgE2vQxuJ5LoEyNDKBrwRKSkyuyDEoC1b5VFxBo9kALZHKQWQZUjm02hFIiVICgSTOMkDiK8FyJ+Jrv+OH+Jnv+gc8M7Ztw9aoK6zYjSB3i0imp6dXtdbyPKdUKm0qyZ+W8um9aLfbVKvVzb7s/wz8C1vc/CtCiOvAIeD1Bx2waeS21pIkyablrh9Vvz01NcXNmzffVTjyOCmne6/V6XR4++23GRsbY2xsbFMWmxCCer3O1atXOXz4ML29vaRpytDQEDKo8E2/cZsUhcYi0FgriLMcF0hyTdV3qEcZjiOIjUTkMbEU2DwjT1OU65OlHZSVlB1LkmZkxqIwWCQ6a+NLSbOT0Fsus7S8TBj4OMot/j7poKwhN5bQVTSThEACOFgsy+0On/jffoBPf9+3EKj3NkZnbRFJV2vtwoULTE9Pc+vWLarV6mp+/b3okL0fbjkU6+cJkPsm8CeB3xNCjAAHgWsPO2DTyN0l9P0e+mY2geR5fpdFvXf/1o2yb+ShriV3N/p79OhRenp6NvSdH4TuAr527dpqv3j3elprvu5nT7CUWKQQOEqgtcVgwEqUzfCUpRWn+EqSJR08N0AqS5ZrPEfhS0UrzXEdh1iDJ6DiKZbjDAEEytKOBdWSS2Yht5pKuUQnyfAdRRTHBI4CoZBGk2qDNQYnCFhqNAk9B8+RLCw3+cS3/gA/+cmv3zTrulZrbfv27av14IuLi0xNTWGMobe3dzXlthEP6kmk17rn3ex+biHEp4E/DgwKISaB/wNwAay1Pwp8B/DTQoh3AAF8i7V2/mHn3NS//H7Wtvuzjbq19yN31w0fHx9nbGzsgd9ho/nx7jGXLl2i2Wxy7NixTVOu7Lr3eZ7fVwjiG//DW8y0DNZCKwMwFFcWSAmpdsjSGMdxiLMcx/FJrcS1AqtcXJUT5YqSa/GwJGg6GYBFIykpQZJpHCVpZ1BxodExCMB3JCbP8D0XrTVpnlP1HZrLLXorFazOqZZD8iynk6T4rmJ6fomv++c/yvf+vb+2Kfeni64BWJtX3rNnD3mev0sbveviP0qR5UmKLj7suhtdfyvn/KpH/H4a+FMbOecTz3N3Sfpeyd2t3+7KFD0IjyPYYIzh8uXLjIyM8PLLL2+aVYqiiLfffpvt27ffN7D4f/72Rd6eaoCQaAsVBxIjEVajsKRZhhEOPaFLOxd4ypLh4JqiJl8LQbOTopQgNWLFDQebRSTKwZGKZtwmUMX9FNbQSi2eEjhS0m7HVAOXZrtTpMUENDoJnqvItEYBnSTHlZaSH5DmRYDu6q3b/PNP/QI/9S++ZVPuEzyYiPc2fXQVWdYOLuyS/d722idF7oetjw+Sau0TJ7fjOOR5vmFLqJRaDc6dO3cOY8y66rc3mh/vBnbGxsZW9bs2A93pJEeOHKGvr496vX7Xg/+987f5hZO3UUqSGZBSkOYGy8qe2upibyshNytlpRJcNFmWIpUPeY6RLr7QdOIIHB+jM6qepJlpXAeE4xBbgSdTRJ5hEeTCIVQGpCLWFuUUWxnPcTBphlKKJNMIawg8h3YUrWy5JAiDAb7wziU+9Z9/g7/5lX9mU+7Xerdu9yqytNttFhcXuXDhAmmarlaLPUm55Edhk6Pkj41NJff9/qDHKUbpHtdsNnn99dc3FNjaSLVZt1NsbGxsw4X+DwrcdYUg7ty5c5dYw9pU2EIz5p/9+nkyU1QmaG3IrCRUhTSzAErS0tCKEE2sBYEsGkbauUAIF6Mt/R60E007Tij7LtpaklxilMJxLCJPcYRBYUFIoiRDuh6W4oWhlMRzBIl18UVOO8molAKyPCNJcnxXgJBUy2UazRahvxJ8MxaU4kf+06/xwpE9HDv63ofdPa5ccrcOfHx8/K5ZZjdu3CCOY9I0RUpJrVbbNKKvR9r4g4An/lp7XHLX63Wmp6c5evQoO3fu3FQdtTzPOX36NK1Wi+PHj+P7/qaMIdJac/r06dW687Vu4lpy/93/+AbNxCCFINaCyEpKjiHSoIXAV5LlDKquoJNkuLLobjMWSrJw711haOeWBIU1GiUliRGUHEg1aBTSVTiOS2wdOlGMclykyfGkpZ1qHKVI0hxrchAUbnuU4DsOvueQa0s7TrAWHNdFrVQYZsagc0M7jvmm7/4xlhvNDd27+2EzrGw35bZ3715effVV+vv7KZVKzMzM8MYbb3D69Glu3bpFu91+bAI+auxRmqZPRcduPXgqbvlGyN0tzO90OoyOjm44pfCoyraudvja3PjjjvFdu0C66bOdO3feN9jX/fx3/9fTXJptI4QgNgJfakRuacYGxxFYa0i1RCiXRrtNKfCIMos1gkwIdKeDH4akqUYJi6ckBAGRFjjC0OzEKNfHodhfC4A8RjouVV/RiDWBypAOpFlO4CmanRzXlcV9sJLcWDJdRJqlEDQ6EaHrkGuDMQZXSqzRCCFZbkb8jf/9+/j5f/1PN3T/7sWT0vkeGhqiXC6vZiyWlpZWB0Hc28q5HnxYernhA+aWt9ttTp8+zY4dO9ixYwfT09Mb/g4PaziZmZnh2rVr7wrKvddJJfPz81y8eJFnn32W3t7e+35eCME7t5b41bdvF4kMIRBG07GC0BGkKJRJcF2XRquN8nxcT9HREmUTtHLxbIb1HTxhyXWKUT5Gg7WSQBiyPEP6IWQxWmcEShElGbUgIM+zYu8uLfXEEkiJFg5WQMl3MVpjpINPTifJCX2fdqdNT6WM7ypcKag3WzhSIKQk1xolwWA4f22Sf/Yj/55/8nX/nw3dw7V4EvvjtZVka1Nu3fFG3YknZ86cQWu9uld/mCrNesQRPwi93PCUouVrBfgfhNu3b3P9+nWOHj1KrVZ77GF797PCxhguXbpEp9Ph2LFj73KbHtdyG2NWxw69+uqrD5XUNcbwL37rGqkRQJHLFkoRYhDWUHYsae6QxCmeH6LzBC0ljjD4riROMzxX0O5YEiNwvYA8TSm7gqYROBI6WY5wPULfpbEcgfKQniTOM1ItKSuNsIVbr4UCk9JJim6ziucQoIniBIEh1+A6Dq1OhCsh0Qbf8/AcSbPdJnBdHEcRJwkl3+Xnf/P3+PI/8hJf8sKzG7qPXTzt8lMhxF2tnN2U26MGQXxYlE/hKabCHgStNRcuXCDLsrui4Y87YOBeyx3HMadPn2ZwcJCDBw/edwFttB2ze8zZs2fXLYb4Q38ww1xbAwIpIMOC0SgpyC3kRgAGz3VIkwTlOKRGUFaaLDNoIbErxHTRZEYQOIpU54RSYI2m5DukFhCScjkkN5Y8jtASQiWIspxAgLQaJR1KYUCaZTjKQec5EgvSoRa6LLci+qsV5pbqSKmKF4IxtOOccuBjrCXTGtd1SDONdATf8r2f4jM//i8Igo3rhr/fteX3ptweNAjC9/0PxUAC2OSA2v0ezsP23O12m9dff51KpcILL7xwV5rrcQNxa18Ki4uLvPnmm+zdu5dnnnnmgYtno5a7K8PT39/P4cOHH7mAfvedSd66nZJrQaqLYLNAkBpF95USKEumLa4wWOUiTYYiR+gcpCiKXFJwPY8sSwilJraSzCri3BJnGXGaoy0oikWdo6iWPLSF2CpKnktqKNJhulB0ybSmGefEaY6QUPYc4jTHmiIK7ypF6Hu4btE1Zg1kuSGKU7QxCCkwWNIkZX65yTd8+w+t+z6uxftN7nvRHQRx5MgRjh8/zu7duzHGMDExwcLCAhcvXmRubu5d27nHccuFED8phJgVQpx5yGf+uBDilBDirBDic+s57/vmls/MzHD16tUHlnm+V3J3xwOtRzt8I+Sem5vj0qVL9PT0rKv9M8813/dbV9FIHAmZESR5YbH9FUKnRqDTDrVSQJQkWDwkFo0qxBS8AMdEgCCOczxHEhkHpSM8R9AxoKSLcQUmS2gmGUIpMIYIgeM4WGuI8yIg5rkejs2IMoNG4TsGnQvacQrWYIXEcxVxphFImlEKRlPyXZQSNFsRvldsbdI0x2iN6yi0tpw4d4Gf+S+f4a9/xZ9e1/1ciw8SuddibcqtXC6zsLDA4OAgi4uL3Lx5E2B15ni9Xn8cy/3TPESoQQjRC/ww8KettTeFEOvqO37qbrkxhgsXLpAkCcePH39g2uBxyd2VWBoYGFj3eKD1kNtay7Vr11hcXOTYsWNcuHBhXS+Eb/ult5lpJORWIKzFkYJYKxw0UV4QPJCa3PPppAZfKXSuSa0AUViQNIkoBR6NzBK6FlZcc2GhZSRKWpLcoND4jiK2Bt9R5EmHzBb14iUHWhqkgNwW6qeFBwFKKjKbUwo8EIIsTfCVT5K2KIce7XZEGPhgNLle8TWsIDc5oe+RphmZzsjSHGMcvu+nfp5nRno5uO+Zpzbi6EF4Euou3f14V4mnO7Twd37nd/jO7/xOfN9ndHSUr/iKr2B8fPyR57TW/nchxO6HfOSvAr9orb258vnZ9XzXp5oK63Q6nD59mtHRUQ4fPvzInuCN7oObzSbXr1+np6dnQ+OBHkXuPM9Xhw288sorq4oyj/p+p67P8XuXF1COQKeWxAo8AcJo4jzHlYLUSDwBWuc4UtDJDGVX0swcQqmxxiC8gCjXyDxFS4ujJJ1cYJKcUiCRRtMSgixJKZU8EuMWgoMYXOmQC58obeMKiXBcHGFppQJMRsn3aHciKoFLFMdoK8jjBHwPz/ORFOqg0ua0kgxPiaKUVYCUiiQrftZMNP21CrkuBAT/5b/7Ff71N//Nu0YcdfvWP0jjeDeK+wXUukML/8pf+SvEcczc3BxhGDIxMbEucq8DBwBXCPFZCqGGf22tfZAc0yqeSiosz/NVN/xh6aJHnethmJ6eZmJigt27d5OmD5SVui8eRu5uXvxeBdUHCTx0YYzhn/7qeTIrSHKLUhZhIMmKfXUiXYTNsVaTC7CiWPBWOrTjGJSHi2ZZCxxrkDYnc3yyLMJVFqEzyoFHxyhM1KEa+hjp0ckMOonIHA9kgE6L4JyRLrnWhAriLC+CLa6PNRlIRSst8tfoHOP6pLlGAK0sw5GCPEsJPAfXUTRaEWXfI9eaJM1Rno/vunTiFGsNRklu3p7n13//bb7hr33FqmWbmZnh0qVLhGG4Wg/+fkwpfS9Yz4TP3bt384lPfGIzL+sAr1C0fIbA54UQr1lrLz3qoCeKbh9zV9t7s120rpufpinHjx+nXq8Tx/GGzvEgonZnQ9+vWeVR0kz/6v86x0wzJjcCT0E7l5SkIbaQW4GHKdJKqUVajS8tuTYoK9AA1lLvFK5yu9XA93wwCVY5aGuQ1pJbAdYgvYCWFuTNFsoPUH4Zm7SwjodwPVyTEK8IL1gh8B1FOzOAoBXnSFGIJworMbrYDlhr8F0HxwvoxDFB4Bd6eNoQOoo4L4JuruOSa4vveavVWVKANoaf/ZX/xl/4kx9nfPvo6jjetZLJ3SmlXZngB0kFf5DwqDbSJxQtnwQWrLVtoC2E+O/AC8BDyf1E/aNOp8M777yDEIKXXnpp04kdRREnTpygVCqtRtsfZ69+L1GttVy+fJmbN2/y6quv3rdK7mFu+e2lDr/8zh30yr5ZW/CkpZNbJJBSTAfJtSEQmhRJkhXuniOg5KqCtK5HpxNRCwMy4REqSckBRwDKIbeSilt8X5t2KFdCrDW4wmKFoKQsngBHFtVrcZLgCIsGHGEpuRLpevSUQ5LcErgevusQuIpqOaQcerTilGopKPLsnosxFtdzyHNDKQyKSrskxVJ4BFprtDYIIWlGCX/vn/+f77pvXbnkF154gVdffZXBwUG01pw8eZK33nqLiYkJms3mB6ZGey3epyKWXwb+mBDCEUKUgC8Bzj/qoCfmlt+5c4crV65w6NAhrly5sumBjW5VWLfrqovHKUhZe0yWZZw+fZpqtcorr7zyWOmzb/3Fk3TSokdbyEI2qR5DKEFISdlYlBIsZxLXGnwJUFTJha5DnFlCWXSIpZ5Px1iwlkTnGOGgrCXXOb6S2BULihegrUYqRZImeErS0RIHQ6wtFkFPOaSZZJRdSZzm+DoHLMuJxuQZy5EmTxN8z6EZa/oCh0rgstxOqIYBUVqIMiZZkY+P05wsy6mVQ+rNNr7roByFqxStdptyGHBl8jY/8ulf4eu+6i888D52Z2ofO3ZsNb/cbemsVCqrLvyTnru9HjyJOWGPEmqw1p4XQnwGOA0Y4FPW2gemzbrYdB+oWw3WbZ5wXfexot5d3Jv/XBu1vl9V2Hsh90aG+T3Icv/6O7e4MNMuarqFwBhLPTdINBaFACyGZgYSgxEKoXO0kIAhyg2ZAc/kZMLFE4bYSiQaoVw8DApDjkeSJ7TjCDcs4WBIjECRUwoc4twidU6gLLFU5EZg0VjAGItSDkmeICxIYfF9lyjNCXyXNMspuZJOmiIBR0mUKqasuEphTPHvTpIgRZHaM1pTqdWYX2rgORLXdWl3YjxX8dO/+Bn+/B//OGPbhh75LLr55W5LZ6vVYmFhYVXwohuYe5Qqy+NUN64H69lzb9Qtf5RQw8pnvgf4no2cd9MFEt98882HVoNtBPdOHela1Uqlshq1vt8xj0PuOI555513HjnMb+0x95LbGMMP/tYVjC3+7iy3CKGRKEJlaeYC39qCYEg8m5KiCJ2i+ksqibEGJQtJ4tAVRFEGyidUlnYukFYTa420Oa7r4MuwSLPpBPDxJERJhpEuWMi0Ln6PJdeasitpdyLAYoWDp3JSbUFKhNEEoV8EAKWgE2t8xyE3thCTCDyaUYavJO2kaE2tlALa7WhFtimlUvLBgJQgPIExOVGa8Q/+xY/wn//1t933Xj7I/V6rorq2RHR+fp4rV67g+/6qVS+VSu8yAu+HftpHtrZcCMELL7ywaRJFa8nd1Q7ft2/f6nTG+2GjZavdKSJxHPNlX/Zl644L3C+g9t2/fo56lIOEPDUIYXGVgxKWKDO4ohgakGcGF4uvBLkGLEWDSB6jlYdrMhAOnbwoMc1MhhIWiSBwJIkVpLj4yrDUTpF+CSk9VBYjlMJKhUnaeL6Ptgphc/IsJVEO1loqpYBcG6JUY6ULWbtQgHE8kjRHmJxUO0ilSLWhVvJpdWJMnhalp0bjGkk58FlqdpBYcmNIkpTQ95AStNFonRN4HnGScu7aDX7ml3+Tv/4X360UtN7qtHtLRKMoWq0F73Z5DQwMrG7T3g/l01ar9STEER8Lm+6W+76/aYGQLrknJye5desWL7744qbO/UrTlNOnT9PT00MYhhsK+N1rue8st/nMudvFPjnNUUoAakUXHLRwKMsca0FJiRLQ6EQINyC34JPj+F6hWuM6NNoJritQShJZSWZyjIXlRgM3rGAR1NsJnueS65xUCHBClhuLBOUyNijjktExEkdKQk/S1gJ3pZfbFwabZ1jXIc8yQt9DCUEnyotCFm0p+x6tdockLTwJ13XJtMZoi7WWeiuiVvJpdpJCYCLwSbIMjCHXOb2VEsvNFn3VClrn/Minf4Wv+BN/hFr1bsv2uKWnYRiudhB2t1ULCwvcunULYwx5nrO8vLyqjb4ZeJ+UTx8Lm07uB+1FH+cBSim5ePHi6sCBzZz71Wg0eOedd1aniMzNzW3ou91ruf/pL50lySDNUoR0Clc/twiriVLwrEFbSScHsLgYhOsjMUggspI8y9FIlDGEnsJajTZFuisy4EsDYUiMxDUp2vUQAgISIi0oKYNXDnGUoJ0XFWiOKOq+fa8YR6R1ViicIhCOQ5ZrVFAmTmOkciiXAtCaJEvRRlItBzQ6CdWSj9WGLM9xXOhEhRyTRVAOfTpRXATUZNFamWcZzXZMJQzQ1pBlmk475u9/1w/zE9/5zXfdy82oK18rrNh9vpcuXVrVRt+s3Pp6yP1ehldsJp5KUvFxFFA7nQ4LCwuMjY2xf//+dT/89aTCugUv6/EEHoS1L7HXrszyxs2l4sE7LkpCasBXEBmJkkUzhzaGkiORQhTiCzlUXctypPEdgdYCLERa4K2on2ZG4JCR5prcc7EosOAohdWmSG0ZjSedwkoLh0QLPJtijF5RZPFJdNEe2mgXuWSDpOpYOp2UHIXrecUIqFwTuA55mpHnhjxuUS6FtJOcQBZpPYwGIXGdIt3lO5Ig8DBZhue45LkhyzVSCpTjkOV5EU/AcuKdC/za517jz33Zx1bv5ZPo5ZZSUiqVOHz48ANz6w8bb/QgPCqgthmTRTcLT4Xc3RLU9f7RXe3w/v5+BgcHN/RWf5TU7aVLl4iiaF1iiw/DWg/hn/3yKZLMEvgu2gBWYE2hPR46hSqpsWAQkOd0UFQdCIRB55rAgSiOqJZCOnFM6CqSzJAbyJFUFCBcrDFooXDIi2kkWoLOcIWkg0SZjFwUkXUpQUiHJLOIPAZH0daS3nKINkXOWxuHNEnp7SkTpwatMzIkMssIXUUnTgjCgDw3VAIPazTOygsAq5HSxVMKx1HkWaGbLgQkSYqjHFzHwULxMrMAAmPhX/74z/GnPv4K3krzyZPuCOvm1rv59bXjja5fv74qzzQwMPCe5JI/aHn5J+KW34tuCeqjAm3WWq5cucLy8jLHjh1jYmLiPaXR1iJNU95++236+/s3JZIvRDHD67v+8+9xu6kJfZdUmyJgZiyegjgXeMJiVqLN2kCvrxAZRJlFCQFCEGlJGAS0s2LaRyuXlERW5KmlxlWSVqYxaYLwAtI0QziSUII2EpQisAYpLG0NeZrie0Weu+xokB7tVIMohBHjNMdIjyhNUa5LI9GAxFUO2hR/Q5wahCpaU5UjaEQp6GL+m6scHKUAWwhDdIrBgykCR4DvF0E0JQQ203iegxR2pb3VMrtY5x/9q5/k+7/5a4GnP+Hz3vFGD8qtDwwMvGvNPkrZ9IOifApPyXKvx1Xukq+3t3e1eORxZ3Tfi26k/cCBAwwNPTrXuh4YY7g+McFvXksRjouU4CJpJobAFUSZXrFaEq0tviNIrKWTFYs8t2BNjlRFNVqUW0JpiVJNyRWYvPi9ES5L7Rhcn0rg0EpTKn7h6kbGxcljHEcSW4e83SYIQ/zQpZlolLR0kgRHGJAuGEMnN3iuS5prQt9BeIpmq43re+QGQs8hjguRRK0djIU413hKYHBwlSDNUjzHoROnDNZCbCfGdR2MtRijyZIMS5EZQInVlFw7SqgELr7n8rnX3uT0hSs8f2jf+97L/aDc+lr5pa4L/zBYaz9Q1vuptOc8SiSxXq9z4sQJdu/efdf++nHVWNZiamqKc+fO8dJLL20asRuNBteuXeMXL+d0MjDaspyAEIViaawhcBRGC3JjcR1IdLHvdqTAAUJpCtc3Lwb6lV2INCAliYZOqukpeXiy8ApAEGmBUC6usmRWAQKpFNpahDWooESmDRiDLzTaQuD7ZMLHtTnOSpNIagQ9gUOUW1ylUF5IxZVYJFFmKAUuUhR95sWTKIQWM61JtcVRik6aI4Wl2YkJXEVmDHmm8TyPTGt8V5HlmjhJV7wBRbUU4LoeWluSNOdbv+9TWGsfqSj6OHhcb6CbW9+9ezcvv/wyL730Er29vczPz/PGG2/Q6XQeqKCapumGq+g+8YlP8CihhpXvdUwIkQsh/tJ6z73p5N6ISGJXO/zChQv3Jd/j9nRD8XDPnTvH3Nwcx44d27QI5szMDGfOnKE6MMLJ2RyrJK4rKUmI8mIaesWxWCyuXKlEE4A1xJkmyTSegmhFtIEVmeI4F7hYPCnIrUU6Ho1OWggzJDnS5BhRFMO04iLV5tuM1EqEUEidAAJPCZZbnSJ/LSSeKtxEozxynVHzCkEHbUCnKakuPIzFZgcAVwqMlTQ7EaxYosB1yC1UQp/AVSgpwRrKQdE9ZgwIC44jieKUsu8ipCLNV1J/SpHropw2STMynWOF4NbcAt/9qU8/kYKTzXL1u7n1AwcOrMpgSym5du0aJ06c4MKFC8zOzpJl2WNVp33N13wNwEOVLYQQCvhu4Dc3cu6nYrnvp8bS1Q5vNBoPJN/jktsYwxtvvEEYhu+Sb3oYHuZSdZtJpqamOH78OD/8+TmaqUCJoqVTrkwGiTKwOTTSoo7cEYUCiqcEUjkYK0hzTc0T+BJCmaOAQBlcobHWUnMKW+l5blH84rkEqpg6EhuJFgqNwHctvsiJjSVNM0pSk6GoVcvFG0WntJIck3QQGLSh0Et3A+IkxfNcklzjy6KzrORKlCyq2cpBiKskgefirswhEELSTnKkLAjeTouceG4hMxZtC/WHVpTS6sSEvkcpDIiTDFcppCzKcQPfx5GKPDP8wm/+d27NzH5gLPejzuk4Djt27OC5557j1VdfZXR0lFarxWc/+1n+7J/9sywsLPD5z39+XaKgAF/6pV8KsPiIj30j8AvAukQaunhq5F5L0na7zYkTJxgYGODo0aMPjKI/Drnr9TqdToc9e/awZ8+edS+ah3V55XnOyZMnsdby8ssvc3a6zvm5CClYcVOhoy1VF3xlMRIElkhD2ZVoK7C5wcHgOYK2lrSjhCjXRFqQ6Jx2LrECEqtodGKUsCRJDNaQWYHRmswKHIoxQKE0dJKcGBdfQm8lpGMdJIZWLsiMQInCnZZ+mSzT9FTLmDxFYotzKUWWpsiVe5RZSZKltDNDlBVSyJ1UYwUEStBJcxwlybUh9IrWTqOL1tBK6OM5LlIISmGAowrFVmsN1hapsVwbPM+lHSUkeY6xhk6U8Y9/4Kc+sJZ7Le7N+Egp6e3t5ZlnnuHLv/zL+f7v/356enr4iZ/4Cb792799U64phNgBfAXwIxs99qlFy7sk7WqHdyWMH4aNBtRu3brF1NQUlUrlrk6x9aCb2rp3QXSHDezevXtVrOF7fuNSkX9WFiEFWW5QkpU0WLF3rrrQzixZVnSHuY4gygUORf+256ii0CUzKOVCZtArO9zALeZ7VcOAZmbx0PiuQ5wJHIrBfB3j4CmNsLZIawmLEoosjpB+CZunBI4i0QZhLGVPYoVE+iV6PcNiR+IocPwQJTRlp5A4DgOP5UgT+h6OLF5sUZqhsxzPcwlcyXKrKDkthFZlQWAjaccJtVKAlNCJ46LuvBOjVoKjaZpiKEidpQbXKQYhXL91m1/7vTf5BwcObOiZPQxPynI/LJ3rui4HDhzgU5/61GZe9l9RjOs1Gy4C28xv8SA4jkOWZasD1o8dO/ZIYsP6A2rGGM6cOcPS0tJqJ9p7afvsYmFhgZMnT3LkyJFVYv/G25Ncmm8Vlh7AWhxZvCVzW8z+staiZJH+Uo6k7EJmLZ60WKMJHIlZ+ayrLKm2+ApSIxFYUiRKGNIsBYoqt0QXUsiuNHSMg7CGfMWSlwOPXFuEcKiFRepGYTAIchx8acht4S4DxJlBFOF4HDQZgnZevJTi3OLK4m9oJRprbNG7XQpI8yLwJUUxJTRwVdFimqS0kxTXkSy32lhjKYUB7TjFGk0Y+MVYIiEolUuEQYDrFUHCZqtDFKf87K/8NjN35jYt2vykhxzcD0+oaeRV4OeEEBPAXwJ+WAjxP67nwKeSCjPGcOvWLcbGxnjppZc2tdosjmPefvttRkdHGR8fX02hbdSdX0vutcP87m0r/bf//SoCgbZgrMCaompLiRVSi4LszTjH4hClBoFFm0IvHFlEzn0pSXOLKwWZLQb/FcKHOQkSnwypHAKtEVKCKZo8WpnGFzlJGuH6AYlRBGR4jiShSDuJPMGanCj3cMiJswxfCaTjYm2RDgs8lyRLcZWkk1kqniTNDWlWiEUIa4o8PALf9+ikxUCD5Y7BWovnF1FxV0lSx8FXEikL4rfjhFwXmYFSrUqr3UEKQeh7RHGCkhJjihHFvuehFHSihK//jn/NN/+1P0+tVmNgYID+/v7HLjR6nLHR7/Wc3ZHCmwlr7Z7ufwshfhr4NWvtL63n2Cfuli8uLnL16lV6enrYu3fvhs71KJIuLS1x7tw5Dh8+vFqQAO+tp9sYw9mzZxFCvEs99d/9/jVmGilSSIworHBmBYESSFFYHAnkuQUcXGkJpCDJCivqK4GhO7GzSJ0pAYocnVtAETiQpOBISa5zEhw8nZJlOa4nyYRDhkFrQ54m4IQ0Eo0vwKWIQlvl0h9IGlFKJj18p9AX94whUIJ6LIkNhEoS5waJJdGQtNtIz6ezshUASHONXXkGldAnSjNyHLQ2JJmm4jvkWY7jFqqt5TBgYblF6CqkkGS5BgthGBTtrKoQc8h1jo+H4yisyVGuw5VbsywlgoPbtq0WlXTFHNZTPbYWT2PPfS8ex3J/1Vd9FcDneYBQw2N/WZ6g5V5r/Q4dOsTCwsKGz/GgPXdXvnh6evq+uuSPOx6o29O91gvoIsty/t1rEytjdy1KFGWVnoQ4NwgLnmNJDAQKOjlUFTQTTUkVUsNZmhNbF18YEi2pupY0t2gcfJUjtSVNc6qui2MhNg5YgZAKoQw2S4tiFJ1RrpSJtKRqY5rSKcaP2Zwo16B8FlttrFAgBUJCpxMhXB/XZiid4boujnTIow7ScTHWEgQOmSlaUR2p0CvpK98t6hRaqcZkhXqLdD1cI4iTbGWWuiZOMwLPo1oKEFjiJAVrCcOAXOco7Ipiar5aCJPmOQ5gZaHb9l0//h/57Z/63tVAVZqmd1WPdds6+/v7H9rF936Q+3FUWD796U/z6U9/etujPwnW2q/ZyLmfyJ47z3NOnTq1OpurVCqtOzWwFvfbc2utOXPmzGoK7X4DBx7HLc/znLNnz7Jv3z527dr1LgvxXb9xjkascSS4CuxKD7a/Mg2kEC8VxDm4SlB2QWcpBkFmZFFuqorFqEQRWMuyHGzh7kZJhkGQWEUzA22L6HpNaVIDSrkEnoNHhlUekRYom9NOUjyhSbRZqQor3tfKC3BWRvYmRlIOfZCSzAq08ohNUSYb+sUePXQEnhfgOZJYQ5oXI4YxOY4jydIYa6FSDotCGG0wBpI8L1RQV/bj7Tim1YnQ1uI6ilLo044Sskzjei5xmpHlOQJB4Hs4qsgSFDOEJQv1Jv/we/7t6n33PI/R0VGeffZZjh8/ztjY2KpE9ptvvsn169dpNBr3Fc542hH4D1IvNzwBy51lGa+//jq7d+9m+/btwOPnq+89Looi3n77bbZv3/7Qmd0btdzT09MsLy9z9OhRBgYG3vX7uUbEb1+YK/aTWaGJJgR4GOK8GGCvTWHlQmlJ0mLUT9VxwYBmJXC20ilmV3LU1hTzsbEaIcAagxGSXg+EUCQ5lByLsyKkaI0lFT4lmRfBLSnxwpB2XkghGVs0fnjCkKJAWEIREdnCMocSotyhpHI6eVHyarKcWuCSZRnammL6qLDFUARtQSrizOA4Lr6n6CTFtJQsy6iGAYGnkELQbEf0VEosNlrF2OE4LerO2xGuowgDj8aKzpqUDlJCnKbkeRHxl1KsilB97gtv8/rbZzl+z1BBIQS1Wo1arcaePXvIsuyueV6VSmXVqr9flvuDMicMngC5Pc/j5ZdfvsuibnRGdxdryb2wsMCFCxfeJYh4P6yX3Nba1emfIyMjD2xs+Y5fO0ucFZah7AnSvMgfO9KuBJFsIeavu1FygyeKQJkrLa4oIuKZgUAWIkuFZFKR9+4NAzzPp+xJWlHCVD3Gl+Apwe6hGm/dXOLQ2AD1ZhsnSrHakglBZgtZJlcWPeFZLvEkOCYr0l7CIoWHiBO0UiidAg4do6iolFYuCD2nUGW1AiVkMerIpOQ4JHmO1RlhKcAqn3aSrMQIQEtFrjXtKF7tBsu1RgqB6xQa5t1uMKXkSpcceL5DnOSFoEOWEwY+1phC7VUVCbYky/hH3/+T/NZPfc9DCeq6LiMjI4yMjLyrJrzdLmagb9u2bdPEGtYTUPugSCzBE3LL722GX+8Y33vRJenExARXrlzhlVdeWVf+ej3kzrKMt956CyklL774YtHjfJ9jrtyu88b1RcD+4X5bgl5ZrM3EkGuLhyXRljTTIBw8teKii+I4XxVehucUBSaSwpfvq4SEQcjMckQt9DFCsb2vTCeH4ZrPYitiR9UhjmNKgcdSYnlp3xhSOVQ9SW4LhVNhMnKh0FbgypWCFOuQaINxQwJHYKWgJDWhNCvhspWadDShK4iz4qeF9hsEnkMQlojSokzW5Dm5ZaXZxQICJYuiljzLaUUpge+S5Zow8FYms4DvOURpSuB5NFpxIbgoVSGNLAW5MUX2wRQddEJI5hbrfOv3/8S618q9NeG1Wo1KpcL09DQnTpzgzJkzTE9PkyTJus95Lx6VCnucPfeTxFPJcz9OgAuKmxnH8ere/VED/bp41DagWyG3Y8eO1UaVB33H7/yN8yBk0fooBVhBmhf7W22g4kGUF9Y6kIbQd0hWZnJBsT8PXYnvSCoeKGHpL7sc7HfYN1Rmz1CNoarPwW09uEowudhhuFqk3oZqJToZ5NKlUgpxZaFZPjNfpydweW682ELsGxump1pBCvCEJjeFAotCk1mFI4rSUykEHaOIjSQxEpvGOI6DFEUXm6uK46TrU3aL2nBHQpomWATC8Sh5DlGqqQR+IbgYBsX44FIAttiHd8cCt6KEwHVpdhKyXOM4inIYoI0hSTNcxyFJMow2OEoilCRKMpRUIAT/1++f4MTpixtbNGswNDTE4cOHV6d05nnOuXPneOONN7h69SpLS0sbWpcfptnc8JTI/Th1w51Oh9dffx2lFEeOHNmQW/Wwl8nc3BynTp3iueeeu0u++H7lp587P82F202sEBiKfXaUW0qeKoYL2KIpo6gJL8QTkrwoSDHG4svCujUSQ5RplFTsHaww28ooVSpcmm3jSMnr1xZIM81SO2HfcJXeksdAxafiOwz1hMw2YjqZIQgCnhnpISyXmG2lLDZa7B8MyLMUpGTPcA/bhgbYPjyA5ypUHuPaBG1lkStHIKwmkAZjBcIvI7AkRoItJo4GKx5GJysi/GmWEfhuERtA4EiBscXgQWOhHWeEgYfrulhb7P3LpZA4zRAWtLX4rkOtHGKMpR0n+F5Rc77c6mCMwfeKYRJLy21KYUAritF50Tn2Ld/3Y4/l9d0r1lCpVBgfH+ell17ixRdfpFarMTs7yxtvvME777zD1NTUIyfVPKpCrd1uf6ACak+E3O+1CWB+fp6TJ09y+PDhx1JSvV+U3VrL9evXmZiY4NixY+96CPd7Ifzgb1/GCkGmzYrgISuyRmYloKbJs4zIFFpiVbdosHAltDKL54jC4lGkyIZKDtfn26vNJi+M9RKlOb4jCT1F6DlcmW1yaaZBvZ0QupIkNzgSJuaaRKmmJ3RX3eelxHJ5IWagViLNNNfuNAhkjqMEnQw+/vx+VFDBiiJQpWThQVir8aShrFZUVYA0z0G5aGOpepKSK3AdRWYljlLkeQa2yG0LbFHznueUg6LSLM1ySmFAJ8mI4hTfcfBcB891CxUaA1GSEvgeSZqR5jme4xAEPiBoRwmuq2i1OwSBhxVFK+jc4jLf/D0/tuE18LCAmuM4DA0NcfDgQY4dO8YzzzyzOpbqxIkTXL58mcXFxXethw/bnvsDNZipS8D5+fn7DhxYL4q86x8ORddac/bsWRzHeaDe+b3k/vkTE0wtp1gp0LklyotgWaignkDZsWRWopSgKoomESMsubbkwlJyimoxgN0DZaRJmW+n1CPDjv6QuWaMMZZttYDnd/aiV/TMK77D5FKbfcM1ktxw9U6Dj+0dZHqpQ72dICsei62EoVrATL3NzoEKUnnsGu6jcXO+GDy4sq+cW6gz3l8qXihOwL7RXt66OsNAIJnv5KQWpE4ouRItAqw1JLkkMUUbZ8URKAGe65LpoibeWEvJc2inmsBzaXbior7cGKwxRcValqK1plLysaYIkEnPo1IKsFhSnVPyfbTRNNsRgauKEcEULabaWKQoJJmQgt/+wil+57WT/ImPvbTuNbDeaPn9JJju1UYfGBhgYGDgQ6V8Ck/JLe/iYXXDeZ7z9ttvkyTJXcR+1MC9+2EtUeM45sSJE/T19T3UvV97jDGGn/y/b2CFxFqB5wlCx+IpQWrAEwZtNC6arCvAL4pgWcUvpIQFELhFDjcgYTm27BosHvx4X4md/SXmmgkGy5s3FrEW4lQzPlAupJaSjJl6BBSu7eRCi+39JeYaEbONiJ39ZXb0l+kkmuUo4e0bc+wdLHG73iE2irGBCjEul+60eG5HD80oJYljxvrLLCewf/tAEdhyAyJdvKTSJCkq6FRxj9qZRudZETAzFs8tlFkyU2xHfNfFmqLdpeS7CCmw1iBlkfqyFtpRgpKKKE1pdiI6UVK89ATESUa1FKKUohMlSCFptiM810EgCnUXU7ycP/lDP0OnE21oHTyOB6mUYmBgYLV/e//+/QBcunSJubk5bt68ycLCwn1jOlEUbUhZ9ROf+ATDw8M8SKhBCPE/CSFOCyHeEUL8gRDihY38LU+N3A/r8OoGuIaHhzl8+PBdBHycYFz3WvV6nTfffJMDBw6wc+fOhx6z9jo//LsXmGsnGGOK1Iwuhuk1U0uSWTxhcaTCcSTS5iS5xpWF1WkmBiWKjrBq4NKMNbVyqZi77Tv0hi6BIzl5Y4nhqkcrztHGMt+MWeoklH3Foe29JJnh0swyniPJckMl9Jhe7GAtHNjWSzV0SXPDQivi2p0GPaFDlOfsGu6lEaVs76+w0CzIUC5XeHnvKMot9vK5MSy3OuwfqRXKLQIOjG9naKAPRxaKL47NCsvp+MRpSuAUQTdti751q3PaSU61FOI6slBNdQpRBiimnmhtcByFNqb4nFKEvrsyz6zYR1sLUZrhOoo4TentqdCJsyLGIVd7z1hYbvJ1n/xXG1oHm4FSqcTY2BgvvPACPT09DAwMsLi4yFtvvcWpU6fuUmXZqOjE13zN1/CZz3zmYR+5DnyZtfY54DuADe1Pntqe+0ER7G6A69lnn10telnPcQ+DlJJ6vc758+d5+eWX76o7f9gxxhg6ccZ/OXm7sL5CoE2xh05yS1nmeKoIGrUyyI1Ao8iRSGvJco21hrIneWlHGakThms+l+Y6KClYaCXUo7RIMzmSvUMVekoeH3tmACUEd5YjSp7DWxMLjPWXsMBILeR2vcNgNWC4p0iZ3VmOkEKw2ErYNVClEaX0l31G+mqcvbXI/m19ZNqw3ClUUZbaMeduzhP6HomGcuAyNtzPaF+F0Z4SSgga7YjRvmqhAqMkLxzcw0hPid5SkdpK8yIKL60pPBWKFlGLKKSMtSHwHYRUVAJ/RTqpuCflwC2q0mQR2OuuD89zcVZq0BGCOM1RopB+znJNp5MQxSlJliOl5OT5a/zYf/7VDa2FzYQxhoGBAfbv38+xY8c4dOjQqirLl3/5l9PpdPiVX/kVWq3Wus73pV/6pQ9dm9baP7DWLq3872vA2Ea+71O13Gujnt0xPt0A14NaQDdK7m4HWqfT4fjx4+t2k7oTRP75fz1DOyl6q7uNHcYU43cd5WAtJKZIaXlKIAWs9EbguQ6HR8pMNjKSTptOZsmznMV2xsHRKjcWWry8q49OqmmnmsxYTt1cxHMU1+db7BqsYI1lfKCM7xSPZrR3JQceFOIIrpLs6CvTiDL2j9SoqOKe9lZLREnx34Hr0FfykUKwc6jGuVvz+K7DfCOiGnpk2nDq+gxnby3S21MhN5beaqnoHnMkoeeQZTnVSol6J2P/rjF29FfxHYHruTiyGP1rTV50fylZNMxoS+i5xFmOUnKlqs3BcYqJoMUUEL2Seiw6zpabbQLPIc0yQs+l3mxjrSmCf76HEILQ92m0IiyCH/9Pv8HFazfXvR42E/fuuYMgWFVl+dVf/VVc1+W1117ja7/2a5/E5f8G8BsbOeCpBdTWkjTPc9555x1KpdIDA1z3O+5R6Cqolkol+vv7N9TyJ4RgcrHN5y7PA5CkBseRiG5U2HXIrUAKQyeHHg86uS1EDgy4jiK34ArDaEVRqlXxjSVJUxwJU3N1hLXcmGvSlR1sRBmHRmur0e+RWshCO+HmQpudfSHPjvURusXf4DqS2XqH58b7idMcawwXbi9zfM8AOwckjhRcnm9wbN8Ic8sRpuLz6t5RSp7iwuQ8A7UStdAjN4Y0N+zd1seVyTk8t4jSX79TZ2ygykv7q2ids7jcwqxE0pXN6atVuLnQ4tk925FYTl+5ieu6eK6iE6d4jqLVSXBWsgoSSZLlK2oslmqpqFFotSNAo1asf8n3VnrbBcpRoHOMFciVZxIGPgvLTXoqhQxXnGV8/T/7IX7j334nrvt048EPU2n1fR/Xdfmu7/quTb+uEOJ/oCD3H9vIcU/NLe+WoLZaLV5//XVGR0c5ePDgI/co61VjaTabvPHGG+zatYvx8fHHCsL96BfmyI0gt4LAKVo1M6MJXYcogzwrcr1KULiculiUmYGRnpCxiiDKDP2VMpk2SCko+T6DtRLbBns4tK1KyZPMt4vpH5OLLVpJRpxpnttZpMVCz0EKeOvGAmcnl1BScGh7L8ZYhntC3ro+jy9huVm4fhPzLertpHC1B6qcuDrLUC1EScHrV2ZWGlqgFno4UnDy2gyv7t/BQLXwaGbrbf7o0T0sNjsEnstbV6ZIM00zSrk+u8yRsQGuzy7TTnOGe0pcvnWHWuhy7PAelONycPcORvp76K0VKaAw8NDGUioVRS6VsBBRzHJNox0VefDQx13p024nGXGWrUg9Fd1opcAr5pXlOZnWBCvNLdoWAwfvLNT5X77tBx74LJ+kvPCDyB3H8XsaU/SQ6z0PfAr4i9baDbVWPlW3fG5ujtOnT/Pcc8+tKps8CutRY5mdnV0dvzs8PPxYQbi3bi5x4U5CslJ62c4soaPJjSK1EDoWKySeKurF9YqSSqoNroR2u8OVhYxqucS52w2m6xFRqvFdydnpZUJX8c5Uk5GeooLp8PYe9g6WmFyKuL24zOR8ayXybNnZXyZKNa/sHuR2PeLC9DLVwOH6bAOApWYHHI/hWsBsI8LaQh9drbwo0xW9MoAr00s8v3sYz1XcmCu2bwvNiIrvcmjnEBZLM0rYPdKPEDBYKyOlZH65jZKCSrlEZix9PTV2bRvmub07aHYS7swv0lvy8J1CpOHg7u3s3DaMkAorii1KlmuMLVRbXNfB91z8FaJ2khRtbJHrdl2CwCNOc4QQRElCluf4ngsrWm9WANYW+3MEb567xL/88f9032f5JHTQH4UnUZ0mhBgHfhH4a9baSxs9/qmQ21pLvV5flRneSC7wYW55d99+48YNXn311dUCgsch9499fhqkIFAQpStuo1C4DnQyKLbAlkhbXCXopIV6SSez7OmR1MoBoz0Bc82EgbJHI87J8owozTkwUkUI2NYbruw1oRp6XJztMFDxGR/qZSnKWWxFzNcbhDJnuOpxYXqJG/MthqoB2lraScah4ZCFyLDQStnRV6bkOWzvr9CKM85PLvLi7iEmZpdpxhmDtZCb802u3l6iEnr0V0Je3DNKK065Od/g8vQCmTZMzCwU+95cMz7cy8krU+wcqDDUU2GuEfHS/p04SnLqyi2SNCW3gsG+Pu7U28RpYZHnF5cIXEmjHfFlLx0GBC8c2LUSdLNYC2mW4zqKVhQT+B6lUoDrKjpJhuc4KCFWLLUPVtBJUtpRjNZFPjzLdeHqJylYwc995rP8189+4V3P8kl0hD0Kj6PC8lVf9VV8/OMfBzgohJgUQvwNIcTfFkL87ZWPfBswQCGtdEoI8cZGzv/E3fJug4YQgl27dm1oTC48mNzdvHiaprzyyit3VbJtNAj36c9fY6qeYoF2aih5Ct8pdMgdoOoVLqEplHvRptBLOzhcuGGj/TWkVOwfKVPxFEe2V4gzzUAl4PztBpNLHW7XY24tdphe6hC6glxrjo718fyOXm7Mt1ECZls5WnqEQUDoKMquIM5yKp5geq5Okhs6WrFvtAdjIfQU40NVLs3UuXx7CYSg3orZM9zDYitmfCWv3lsOUAiml9qcmrjDrqFerkwv8ur+Hewd7ePOUouLk3P0lENmFpaLe+h67Bsb4vrteZaaHbSxHBwfZaivl8Vmm7ev3GR8ZICZxQbP7h2nWq1RLoX0VUp02m3m602ENezaNsjxowfoJAkHd2/HUQpHFc2drU5cBO7K4YrVhkqpVMg3OcUL2vddcgvVcmlFtaUI4GljSZKcT/7Iv+fkuSt3Pc8nQe5HufqPY7k//elPc/v2bay1rrV2zFr7E9baH+0qsFhr/6a1ts9a++LKP69u5PxP9PXWbDY5ceIEY2NjbNu27bHbPu+1wlEUceLECQYHB9+VF4eNzujO+Mk/uE5ubTHcTsk/HNy3UmwhsFgrCNxCp3xnfwlPAlnEs9sqKKU4M71MI8q504hItKUWFpH10Z6A8f4S1cCh7Cmm6h0OjPYwuRTx9s0FUm2YbyV8bO8Qz431keSacuBxYylm51APL+3q5/pCxEwzpTdQlF2YXW4TuIU7fGG6zlhfmYVWwnAtZKgn5MzkPNt6yyghOL5/GwvNmCjX7BnpRQjIdBFVP3l1hj2jfby8bwdfcmgneZ5TcuDV/TsY6qtRDQO2DdSYmFmkUgpwHEUnSVcWuuDAzlFmlxpcn54vxC6uT/HiwWfIrGR0oJflTsL03BJL9WWO7tnOYE+VSrnES4eeobdaor9aolQKyTJNlKRFd5jWdKKkyKUj8D2vKH/VBm0sfuAXhTRak5mcZqvN3/6n/4YzFy7dVYT0JIQaHubqPyFxxPeEJ0bumZmZ1X3wyMjIYws23Lvn7hYQHD58mLGx+6f9NkLuf/5rZ6i3c7AWIbui/KCkWNUlz3XRjx2spInKMsORgrnULaLEKymo+VbC7qEKy52MA8PVYvhA4FINHFwl2TlQwlOSxVbCzcU2L+0aoN5JV6aCWE7eXKAVZbTjjD1DFUJX8ubEIkMVj1ZqGO6r4joOoSOot2NevzLL0R09DNeKSHRv2SfLixbUepTgOooTV2Yw1nL+1jynJ2b5kgM7SNOc4wd30F8r0WinnL42wxcuTLJYb1CuVnjj8hRvXrpFnGvm6y3GhvoQCN65OoUA9mwbYrS/RpxnHH1mrIiGl0vUyiFJlrHc6rBnxwg91QrP7h1HOC65FrQ7MfVGk6V6HVdJnj/wDNVSyN6do+wdGyHwPXKt6a1VyLVBUOS7HVXs2ZXjFFH1lbnggedjEHTimL/1yR/kM7/525w5c4Y7d+5seJ09CutpGvmiIHe73eb27dscO3Zs9Q/eDDWWmzdvcunSJV555ZWHDmXr5qwfhWszS3zmzEyRV3VccgOYvNACzyyeU4zXsYCjBLsHytTbCakWKCW504hpRCkX7zQoecWtfPvWEqnWnLq5xFwzwVVFhVmaa6q+w/M7+/AcSX/J48xUncnFNi/sGiBKDcPVkO19JU7eXGKhGbO4VGdnX8jYQHEPS75DPc7prZbZM9xDqi3nphuIvKhEkzbnxtwy+0Z7V9RNc8YGquwd7WWhFdNT9mlGKVbA65emscDrlyY5unsYKFJ7J6/e5pltAzy7a5RGJ+blA+NMzi3RiVNe3L+TXBveuTbFod3buTWzSBB4xfxtKdi7Y5hrU7PMLjW4OjlDyfNotiMW6o2iJVQqdgz1Mb/codFOaLaa1EIXRxRyT721MjtHBhkZ6GOwt1a460lKrk2h0ZYkdKJ4pelE0Y7Tou5XSBqdlH/56f+G9EOSJGF5eZk33niDa9eu3VeGaaP4sLV7whMid6VS4aWXXrprf/1e1Fi6+mb1en1Dfd0PQ5qm/P1//3mMlbiuSzGDz1mduinR2DynkxrKnuLwaIWFRpOdfQGuH7Crv8RzO3oIPYdGlHN4tEYlcNneF1J2HXxHMrXUIdOGmUbEcpTiSMHpW0v0lj1Ge0vUApee0OXkjQWW2gl9ZY+eUhE7GC1LLixkTC5FDFR8ekoerpRMLrSRQlBb+dzLe4aZ6cBLe4YIXYfhssPEXAPXanKtyY2hfyXtNVgtUQk9kkxTK/nsGuoB4MzNeV7cu42JO0toYwkCDyUF7Tjl6vQCldDnytQdFhsd2nFCO0owxjK71GTi9hyNdocbt+fxHIeZhTp7x0ZJspxwJeV1ZO84Z67cZLnRIEozhgd6eXbfONJxuTVXp6dWY3p+iarvEnoOSZLguYqXD+/l6P7d9PdUiZMEz/MohwFSFHrplVKI7xa5eyEl9VaLv/0dP0or1gwMDPDcc89RKpWYnJzk9ddf59y5c9y5c+eupqL14sPWEQbvY4XaemGMYXJyklKpxHPPPbcpWtStVot/84uf406sQMlCd5xCWMEgQCoMRavjWM2hleQ0l5cJHEUtcFhsJ1QDhwu3m6tFJr0llwu3G4z1hDTjjOd29LBvuIojCpniVpITZYWQYNlTnL61xEhPQOgVyqU3F1sEniKKE/b2exinyBe/sGuAmwvtQpwwUKu91HGac3zvMJdnlplabHNyYp7eWpnriwm5Add10HnOTL1DFrVxlaQSuCw0Oggh2DPaR6PZYs9QlVf2b2ekv8a+7QPsGukjznLAsNSMWGi0OX54N8vNiImZBfprFQ7v3ka+IgOdZpoXD+ymWg5xXYePP7cfKQVDfUXF4ZmrN2lHCc9sH6S/p8q1qTn6ahV8z+XstUkOPbMTjWXPjhF6e3up9VRxlCBwHRYXl3CEZai3xh958TCHd4+xbaifWqVEvdkmShKSLENrXZTBasN8vcHX/rMfZjnKVmWR9+/fzyuvvML27dtXJ8i89dZbTExM0Gq11mXV36eBBO8JT5XcG7XcjUaDK1eurAribUbucn5+nrdOnuQztyCzYiVCbotpIRaixGAo1FNyJAMVj/GaolStkaFoRgk3Fzp0Wi2211xCR/Dc9hpZblaJN7HQpuy7XLrTJM40k4sdksww30zYN1zBGMsru/oZLHtcnGkw3l8m15Ykjml2EhZj6C35DFUDbsw3uTnfItOGODM8v7MfYy1l3+H1a3PsGiwW1PG9I6TacnB7H76jmG0kuF5AyXfQyuXAaA2TJVydqeNJuHBrDs8RXJ9v8oVLU7SihL5qiRt3lugrh8wstam3OjhS0YoSRvprHD+8uwhquUU56QsHxhnoraCU5O1LN2jHKacv3yT0PbYN9HLywjU+9vx+zl65yfXb85QrZXqrZXprZX73xBmOPbt/1QvItSUMfE5dmGDb0CB7d41xZ7nFlckZtM5J4ojZhUVcJRjp7+HLXj3KgV076K8VQbpcG4SQhSptkvN3vven+cXf+Tye560ahHK5zI4dO3jhhRc4cuQIvu8zMTHB66+/zoULF5ibm3ugAXrUnvuDJrEET6j8dCONIw9Cd6bYgQMHHkvz/H64ceMGMzMz/LfZkGYcrdY4V3xbNEWIYk52M7PsGShjdEqSplxbNgzqFGGLuu8g8Lh4p8VYzeEL1xYY73Fo4GGsZbGd8Oz2HpZXRveEnsNAxWek5qON5cZ8i2tzLcq+YqyvzM7+EnuGKrSjiDTT9Ncq3LxZCAUM1YoU0VIr4eXdgzSijNO3Fnlldz+NuHAtfVdybO8Ir1+d5dC2GhemFnlpzyBnby5QDR2eGekl13B2qs6ffG4nTC2D0ezoDYmTnKFqQG7hws05sjyjrxKS65zphQZfcmiceqPJmxdvcuzgOK+dvcr2wZ5C/ilOaHci+msloiRl/85RpBQ8u28nn3/nMn/6jzxHvdlhqd7g0O7tWATnrt7ipYN7aHVintu/iyTL8D23SI85irfOX+XI3nEcx+HqrRlGBvrYOTpEOQiI05SRQQ+T58RpwtTMLL3VMgO9VQRF+e/U7AIRAiEL8Yfv/olf5PV3rvB9//ATqyOmzEpEXinF4OAgg4ODCCFoNBosLS0xMTGB4zirPdylUqloINrac/8h7iW44zjrcsvXjso9duwY5XL5sWd0d9Gd1b28vMzg+AE+d2kJoQRaF0KH2opCVCAvcqjbenzIYy7Nxbh+yOHRKoNlj9BTTMy3iVNDqi21SglWJnwsRzmOsNxaaLPY7HBzoUV/udjfDlZ9yr5L2XcY6y+hjeXASA+TC21acc7k7AIzzYyRgRpSClwlKfku56fr9Fd8Xt49wFs35plabLGtt4TrONyca/Ile4cpeQ4nrt5hoOJzcbqIQgskh7b3sdxJKXkOzbh40eTasqu/RBAEDPT10NPTQ1+1zI7eEovNiE6cMj5UY3axSei7nL85y/bBXrQxvHN9mp5KyM7hPnoqJZaaHW7MLDDUW+OdK5P0VstgYW6pwXP7xlludnh29yjL7YS3Lk7QVyszPjpElGY0Vnq2l5ZbTEzdIfBdzl69ybN7xymHPm+cu8LicoNKqUSSZERJgiMlSil6e2ssNCMcx2Gx0cbkOUZnxFFEf0+Fg3u2s2f7EKMDPfi+y29/4TR/6us+yW+feBspJY7j4Ps+nldIQymlimh/tboqw3Tw4EGUUly9epUTJ05w6dIl6vX6Qz3HD5pmOXzA3PLuMANjDC+//PLqzX9ccltrybKMN998kyAIOHLkCN/2q2dIV1xw1yly2cXgPkElcOgp+fSoYqj9l+zuY66VIAXcWGjTV3IZrgb0lTxeGu9FAM+N9VLyXRY6mt1DVV7Y2UsrMcw2U8pSc3OhiS8tSZ6jpKCn5PHMUIXpeodGnDEYWNq5pOw7YOGtiQWGawG5NqvyS+en6wxXA9pJTuA5aGMZqIa8dX2OVpwRuA47BypYYKgnREqYXGwx1l9hoRUz1yii6TdnFliONWEQMDnfQErB5eklBnuqWGC4t1LcF1X0WHeSBCEtxw/t4sDOYZ7ft5PzE9N0koT+lTLVXBuO7h3j7Su3QMDk7CJSFCowSIedo4Mc3LWd61N3SLKUm7fnWG52cByHUuAz3N/LYqPFiwf2UAp9Lt+YZv/4dnZvHyGKE3zfw/eKHvA7C0u8df4qO4b72bV9lL3jOwjDgNtzS9yaXcKRkjiKiOOE/mqZAzu3cezZvfRXS3zXp/4Ln/jkD/N7J88DRUZFKYXrugRBsOq+CyFwXZfh4WEOHTrESy+9xMDAAM1mk9u3b/P2228zOTlJFN0tHLFRt7wr1HD06NH7/l4U+DdCiCsrgg0vb3T9PzVyPyr33Ol0OHHiBCMjIxw8eHD1LbnRMb5dKKVWi2h27tzJ+Pg4//Hz17g+F5HnRcOHteAJaKVQDV2EENxaiuirhCzFhsxY7jQSlBTs6A3JtS1aMYXl+lwLV0nOTtfxHMlylDFc9bg+32F8oHDPdgz1Uo80RufcmmtQbzSJ4xgpoL/ssrPmcGM553Yj5vD2XlpJTi10qYYuNxfaVAJ3RW/NsL2vxJGxPq7PNVlsxdRKHruGqrx5fY7t/WVCrxvYC5hZ6tBfCbl0u85ANaQVZ4z1Bsw0M+qdYjb23HIRyQ99l7eu3mb7QJW+WgmkolIqIxBsH6gxv9jg8q07nLw8SasdrdSwK5QSvLBvJ7/z1nmiJOHlg7sIfZ8X948TxxGZsXiey2vvXGZsZBApJYO9NZpRTE815NKNaU5fmmDHUD8CwZ3FOtZCtRwW2ueuQyuKuXl7lsD3uDgxRa1c4vkDu+nrqXF18jbnr9zg2uRtDu/bw8FndtLb10NYKlPrqaK1ZrG+xO3ZOfIsY6AaECUJn/ql3+GTP/6L/Nr/fYrZxcZd69N1XTzPu8uqA9RqNfr6+hgfH2ffvn0AXLx4kRMnTnDlyhXOnz+/4fLTdQg1/Blg/8o/f4sPwnzuLu5VE32YS9MdOHD06FF6enru+t3jWm6t9WqTSqlUYqHR5qf+YKLYZyvItEUpSHIYLDv0hgrSlMDxEI7HXKvJYNljZ3+hPjpaC7ix0GZbT0DZUyy2U4wthtPHmWao6hM6DiXPoa/sMVAp0kkAyvVZijv0lB1qjuTM7SYH+iSZlYz1hSgpefP6PNv7QgarAdXARQm4cqdBPUrZM1RhsBLwW2en8JTkxkKLl8YHCFZ6vj1HkWSasf4KvWWPc5MLvLhrkD3DNV6/PMOhkTL9tQqTF2/TU/ZxleSVfdtYaEYc2DHAqavTjA31UAs9Tly8yfa+CscO7kQI0Dpn784R3rhwg6VGi+19ZZYbTc7fvMMfO/oM1lr6e2q8duYKLx0Y5+b0HZpRSn815MzVW/TXyisyxpIbM/Ps2TZMGHgoJXn+4G6iJOXUhWv8sZeOECUpSkk8z0XrQsGmr1am0erQVy1TKYeFwoux1MohJVcRBAMkWY6jHNIsX5kRHlLt7WViZo44jvGSnNDzcN0I3w84fyXm+vQsP/87rzM40Mu+ndv52JE9PP/M9mLIxEpUvEvuRqPBzMwMR44cwfO8uwYhLC8v86M/+qN87nOfo16v85Vf+ZX81b/6Vx+Zrv3SL/1SJiYmHvaRvwj8O1uQ6DUhRK8QYpu19vZ6OfB0q+vvQXdY4JUrV3j11VffRWxY/4zutbh58yZRFPHss8+uBkT+8S+dpZ1CKysCZ76CZgJWSPb1ObQ6MU5YYbgacn2+zVhvwLW5NiPVgFtLEcYWOmKBV4wO+iPPDLDQjil7kiTTzDVjLs40mGtGKAkLrYQ0N1QDh57Q4cXxfrb1hsS6mH890NfLTDPDFzmNVofAkUwvdagGTmFRPYfxgQqeklydbTK11OLYM0PsH60VHV8CMm3YPVRlvhVz+uYCraRoGYWi/1tReDy36mnRK02R627HGa9fml4lOsC120tUQ59MG3orIVem5rm9UKcVpZy8dItjh3YxcWeJifkmQeAz2FNmob7MkfEhzlybpLdSIokiDu/ZSbUUsmv7CGHg88KBPfz+qQv099SIk5R2nOA4isHeGsN9Pbz2ziWe3beLLNfkeSHbJKXgzXNX6KmW8D2X105fZGSwj1xr5uvLNFtt4jimUq0QBD5pmjNfX6YaBoWwRpLSiiPGR4d4ZmyUXdtHUK5LWK4QpTntKGHqzhxTM7NMT9/hD965zA/+4uf4xPf+HN/9c7/Nb751hUanEJlst9ucPXuW559/nt7e3lWrLlcUZXp7e/mWb/kWnnnmGb71W7+VpaWlzRodvAO4teb/J1d+tm68b+TujsrtDvR7kNLpeqvNuuc8f/48S0tL9PX1Ua/X0Vrzn09McP52qwhWwcqgecGr4zX29SnyXHOzoYlSzVS9w1Q9Zs9gGW0MgQOv7urFdySL7RRfKb5wfQmlBNYKBioBlcCh5Cmm6hHP7+xbFV+IM70iLginbiySxjET852iqgrBsT0DjPT3cqet2dEXYoG402Zyfpksy6iFzmqzyo35NieuzTFSK7F/tIck08RpTivJGawE5MbiuwohJPu39RLHCXP1FnuGa/RXij38MyO99FYCLk8vYIEk1YSe4uDOQbS1aFvs5X3PZdtAjW39vSw2Oxhr6auGfMmRPQSeS6VUYu+OES5PL7LQTBiohOwe6eHK9DytdgtHFTLGowNFLfu+naPUGx3KYcDwQA+/f/I846ODfO6ts3z8+YN4joM2hjDwWWq2+fzbF/h/vHKUPDe8dvoiz4yNgoBmO6JSCsFopOPR6iScuTJBb63MyEAfnSQl15pSGBTCisbQihOa7YhSKcB3HCzgBz67tg3TU6syu9xifmGJKzcnaS7XOXHhBp/6r5/nq3/gV1habqx6f2s7DpVSeJ63uld/8803uXbtGocPH+abvumbNtwc9aTw1KLlXVhrSZKEEydOUK1WOXr06KYU+Xe7z1zX5dlnn2Xfvn2kacrv/sFr/OBvXiLOLZmxCAWhoxip+bRabRCCiaZl31AZRwpGewIOjlTwJZQ8RW4sb0wskeriM1GqObK9SpQVGuKDFW+1maQ3dJlc7HB7RbV0Zjni6Fgv7ThnqOwQZZqR3hJ9ZY92qjlxfYGbCy0OjtbYNVQlcBW1Wo35dk6SZiw3mizWG4zWfDppzsu7B1lqJ1y706Cv7NJONfPNhFroMVQr9qqtOOPWfAOFZvtQH5OLbXzPJdeWZhzTWw7Yt62fo7uHSXJNI864OLmAoyS3F1uMj/QhBJQDj7cuT+J7LiXfpd6KWWx2WG51Vtsuc23YMdjL5Pwy5UoVawWaYjrLjalZar7i2uQdSoHLUrNFJy6mfb56ZB+5NpQCH20NjXYHpYpZ3hcnpvijLx7BGMv03AJf8txBBvtqdKJiakkax/T39TExfYeFepPjRw+AgJMXrnF5YpqxkUFanQhrLWlaTC+plUOu3brD7OIyY8P91Jttzl+/BbJoTNk+2Mu2oQGMEMwttTBph7/7ZTs4feok+/bte2ig7K233uKbv/mbee211xgaGnrP63gNpoC1qp5jKz9bN56q5VZKUa/XeeONNx44Kvdx0A3G7dixg927d2OtpVQqsW/fPn7hmouWCgXkuaaVWg72K6aXYjIcUC7zrZTxvoDQU0gBnSwjzgyNOGeuWUTLF9uFsGEjymglGUlmVppLxIr77bJ3uEJ/xWWmHtG/Uh76zmSdqYWCjEEYUg1cRmshviNxJNxa7HCnEWGsxXMklUDRX/bJhUOMS2IV/WWX4bLDmVsL3FpoFHLoQlEredRCF7D4jmK5k3BpaoEoM+TCpd5JybShv+IT54a55Yg8N1y+vcjZG3P0VwPevnaHV/fv4ODYIDNLTU5emaYceFy4NUumDQPVMi8fGGe23irmdJtC4bNWKXF09zZmFuqMjw5w4tx1Xji4m1IQML59mDDwKVcrLDbbZGmKyTO29fcwM7+0OkBw39gocZIVVtv3uHB9io8/fxCAOE1otDpkWU6a5RitkRhGhgZ54/wVXnl2Hwd272Cx0ebi9UlefXY/u3aM0I5ihJC0ophSGHD55m2m55Z45dButNFcvnmb/lqVXduGMHlOf63Cmau3ENZyZ7HJ4fFB/s03/iU8YdmxYweTk5O89tprXLx4kYWFhbuCu6dOneIbv/Eb+YVf+AV27dr1ntfxPfgV4KtXouYfA5Y3st+GpzyUoDur6aWXXqJUKm3KORcXFzl//jxHjx6lVCrdJS/7Y5+9yJnbLYQsilVGwgAlBYvthB1VQRQnVFzDy2NVoszwxo0l+ksu23p8zt1epuRJrsy22DVQoidwOD1Z5+XxPi5MNOgv5ezsC2klOZk27OwLee3aIi+P95Fqy97hKlmec/F2TF+5xMXZNnuHJQMVH7syUHBnf5nrc02eGa7SSXTx4og17STj8PYa56djWnHGzoF+WikkNmG+lXBktMSd+UVuLCVUAodcGyYX2+zpD7g+38ZzJKHvMjHXYM9wD+246DQDuDHf4MVntnHi0hTz9TYAV6YXObCjj8VWROA6LHcSDu4YgpUiH200c0tNJqKII7u3MT2/RE/gcHlqFgv8yZcPMXVnkeVWh/5amXNXb7F/50gxFJGiRbXVSRjSGq1z2u02TQuVUkDo+9y6PcvOkUH2j2+jFScM9ng0lyK2Dw+w2GwRRQmDtRA/CJmcXeDw7jF8x+fUxSvUSiUGemt0krRQbLEWR0kqYZVbM3M8u3cMRzksNdr09dSQwM07C3iuw/6d26h3Uob6qhids2fbIP/kf/pybl67zPPPP7+at9Zas7S0xNzcHJcuXeLkyZPMzs7yq7/6q/zyL/8ye/fu3fC6/aqv+io++9nPMj8/jxBiEvg/ABdgpZ/714H/F3AF6AD/80av8dSUWC5evEiapqvR683A5OQkly5d4sUXX1wNnHWJfW5qkZ97fbKoFUewrafESNUlz1ImmrBntJ/R/irTLUOSRNxZqDNacdhedcm1YbGdcXR7DW0sO/tKTNUjdvWXuDLXZLjqsxxltOKMpU5KKy500LSxJCuigiUX3r5VZ0dvicQWKqq3Ftvk2hJnmjjV9Jd9Do7WODdV5/p8EyiCZEleqH9Gac7z4wOFmzvfYmd/hRfGBzh3pwNuwGA1QADz9Qa7er2iM00IhmolltoxzTgj8B06Sc5co8NANWRidpkTV2b4I4d34juSYwd2FD3seWGRRvqLBa1cxYlLN7k2s8D8cptOmtNXLdo6b91ZwljLiwd2UQ4C3r42yZE921lqtAk9l/HRQTzXJUpSDu/ZQSkMeG7fOGEYcGjPODdm6xgKsYY3zl5mbKiP5WaTpeUWgecRJSme52KBKEpI0qSY2lkKV/e8cZqwZ8cotWoZx3FYbra5dHNqRfghI0pShgf6aEXJimyTJs1ybs0ucmDnCOMj/XzhzGVyo5m4vcC2/irf/bf+PJMTVzly5MhdBSndarZDhw7xsY99jD179vBbv/Vb9PT08Nf/+l/n2rVrG167XaGGLMt4gFCDtdZ+vbV2r7X2OWvthlRY4CnsudeOyu3v738sN/zeqSPWWi5cuMD8/Dwvv/wynldI4HbPnaYZ//gXTpPoojhl90CZUGku3GmzbaDGl+zuZamdMttK6Sl5OF7Icu6wvTdksh5BWgyEkzrj6PYqvgM7egPGB0J8JRnrDdHGMFj1We6kZLnhzRtL9Jc9GlGRU24s13lpZy+7hqo4UrJnqEKaGzppzu16h6VOipIQ54adA2VmGzGeI5lrRBwd6yNKNZ20kBVKc8ML4/30ljwu31lGioLsvZWQHf1VXCW5uZxS8otATig11+8sc2RHH66UxGlR/LJ/WzH++IXdw/ieSyfTnLg8zba+Ciev3ub4gTH6qyUu3rrDqau32T7YwzOj/VyemuPl/WMM9VSI44i92/qpVipcvz3PwfFRpmaX8H0Xaw2u6xAlKaHnstyKmFts0FctEfgupy5M0Ipjju4bZ7i/j2tTswz01hjo7+Xs1UmqocvF67dYbrZwHcmF67fwXcne8R3Eac6b5y6zZ8cI03MLdKKENNeUSz5zS8v0VEL2j28nTjOu3pxGryi2+K6LksXc8cs3b7Nv5yhRnHDm6i2e2bkNo3M+/tw+/uFX/Skmr1/h8OHDD5TZBrh8+TKf/OQn+Zmf+Rlee+01PvOZzzxy4MX7hSdque8dleu67mN1ht0ri/zWW2+hlOLo0aOrpF770vj//v9OMtfKQEhG+sqkaUqaG47s6OHybAuDRSnBth6/EMKXgrlWQm/ZZ99IjcG+Gtt7fObaKbcWWszOL/HWzTpxmnN7OUYpQcUv9ufDtYCx/sITOTBSZWK+jSdygnIPb92qs9hOuTrbZKy/xIHRGkNlj76yx3wzJvAUNxba9IYeIBjrL1PvpMw2YnJjqYWF9dLW8vbNRZQsxvbsHChSOq4UxWTJcgkh4OztFsf3jbB9sJcjO3o5P10njTvcrrcp+w7lwOXw2CBv35ijFaerc78qwUp84MYsgz1lWlExCGC4t8rMfCG7NL3QIPQkZ27M4nkeuTa045RaOWC4r7baQbbc6tBodYjSjFLgcW3qDn21KnNLTT7+/AHOX5vi6q1plJL091Z54eAefvfEGT72wkFSYzm8d5zeSpmJqVlKvktfpczcYp3X37nE0f27SdOM7cODBH5B2rnFBgM9VWqVMsZYrk3d4dCenVTLIZ04odmJ8X2fmzPzHH92L1GScvPOPLu3j9CJEnaNDvFtX/PnmJy4yuHDh++bju3i+vXrfPVXfzU/8zM/w3PPPQdAT0/PByY6fi+eGLkXFxc5deoUR48eXR2V+14EG4wxq4Gzbdu2sWfPnlWVy7XE/g9/cIU3bzWQUnFwWw0nj7FC0sgLlZVnBiukeVF55itB2XfwlOTFHTXmmwmnbtV580adHb0BU42M3UNV2rZ4eFdn6igB88tt9g+VSTLDQNmjEjiM95dYWG4hhUU4Pp2s8DQWWgnbe0NSbbg002AxSrl8p8GOvgCtLftGquiVVN+O3hKHt/cx2yhKRvcO1/AdhbdSrPL2zUWSLGffcGFZWu0WkSlKKHcN1eikOa9fnaUceLwztbw6U1sKqHmKxcU6F6cXUEJwcWqeZpRyeHyYOE05dmAHR3YOoaSkVgoKIcM4Y6ivwoGxIfpKLtWwqNKrtyLKgc9zz+wgyXKiKGagp8Lz+8e5cXuO/ePbsNZSDgNq5fD/3957h9lxl3ffn5k5vfezvWm1K2nVVsUSMm40G+EKuMTEgGnGAZPYdMLL4xACeYCQ8IQE3gecECDYYBuwg40hmNg0W11W311tb6f3OmfK+8es9rXBlmQsue7nuva6tsx1zuw5c5/5/e7y/WKSJEZnYsgNhVXL2uhpa2ZqPsma3k5Gp2N0tUQWlFJ1xqZjiKJIMldk/Ypl1FWd6VialpAPpV4nVygyn8xgsZg5ODJBOlegORzkiaFxjoxO0d3aZCzB5caiueDYTIxNK5dxdHyWVLZAWzTEXCrLyu4WPvbnb2RmYpQVK1acNLCnpqa4/vrrueOOOxgcPH1DwheSsxbcLpfrj5xEnovUUiaTWbT1jUQii4mzJwf2vokk3/rNOF6Hlf4mN2OxHILZisVqJeq2IiCwbzqHrGh0BexMZioUaw12TmSwmgSsJpHukIuox0au2qAz4CBVqjOWrBB0WkhUNJq9NhqqzqHZPLPpPLpiWN6YdAWzCBs6g5glkUKlgUUSmM1WCLttZEoyNrOEc6HJpNnnIFmqczxeRNc0NnWHsJokdo8nsVskQm4b+6cygHHnbvLayVWMpXddlukNWnG5nMxmK9QVlZDL6Ig6Z1mUakNjQ3cEm1kiX67T3xoiL+uY7U7Wd4ZpDzooVGRcFon5TAFJEtk1MseBiTjZUo2+tjANRSPkMRKUo7MphmYzxgrAZiHgcZLKlxifSxsfNh1N7Dw8SlPAS7UuMzabQFYUDh+fZv2KbnKlMpIokitV2H1oBJ/biSgKWEwmRmdiRIJe0rkiuWKZjqYgx6fnefXgSuSGyuGxaTat7qO1KQKSYQvstls4PjFDV1OQVT1tHByZIOB1093WRLVeQ5RE7DYLmVwRm8WCz+VA1TXaoyGCXjeHx2bYuKKbj7ztjcxNjrFixYqTKvvMzs5y3XXX8fWvf53Nmzc/6+v3heKsBfeJyZsn86eqsdTrdcbGxli/fv1i/+4f1sZn0mU+cc9BvC4HLouJYqlEc8CN2WzGa5M4NpdH13XOWx7g6HwBXdfw2Mw0e+0MtvvQdKgrGl67CYtJWPTBjizICvdFjVpnR9BJ0O1AFAVSVR2TyUyjXmUsUwddZ2g+h8tqIr7gxLk86uaJ6QzTmTIRtw1Z0ehr8lCRVVxWE2ZJ4OBMjiemMpTqMpu6wwy0+hYTbJlSnZqs0uS1Y5JEHGaRVL7I8XQdTYPuiOEVpqga5/RG2TuRJFmosncswYbuCLKqc3Q2Q5PPgY7A3okUPU1BAIJeN2GPnUyuRNBlpSvsJpErMTSTIux1MjqbpFAqsbanmYHuZkbnUqxZ1orDZsVqMRHyuRaX5w6rhVSuSHdLGKvFjMfpQNN1FFUlX6qyurcDgBXdbRwdm8FmNlNvNNg8sBxJlAj63LAw6NPd1oTVYmZocpbBFT00FAVFVbBZzbjdLjLFKs2RMA67nUq1hoiGJBgCl+WKUUJDEHDYreSLJQI+D+VKDUU15K62rO7lE++4jPmpcfr7+08a2LFYjGuvvZavfvWrbNu27Vlfuy8kz3ud+9nsuU9k2ev1On19fX+UODtBoVLng9/fScDrIGAXMWl1sDioKTpoRu/3xq4A05kqlbrKujYPZVnFbpYwiXBoJke5rhAv1HCYRYbjRWO8M11GEARMIpglAY/djFUSGE0U6Qq5UDWdXLFMWV0QA3DYKdZVcoUiFVnFY4FqQ6XZ56BcV/A6zKRLtUV/LZMo0h5womg6g50B5rJVdo+ncFhN9Ea9tPjsTGVKhoiiSWRVk4u5bIVY2VjG2yxmplJFmrwOHFYTO0cTdIU9xHIVwGiz7Qh5kEQBWVEXFFZgNl1kVXsIq9VMTQW/z4Pf48JpMxPPlShW67T47aQKFdwOByPzGVwLybqDY3NYLCaKlRogUKrWGZ6KsXX1MiZiKWxWC/micade19dJIlMklStQrtZx2a04bFZaIn78XheVmkyxXKFSq7PjwDBRvweH09hvC4KA22k3atyaRjJbwGmzkcgUaIkEyJfKBP1eEE0EA36cdjtyw6iFu6wmYskMjYaCx+WkWqtjsZiYSRjlus++7+rFwPb7/c94/SUSCa6++mq+9KUvccEFF5z2dfti4XntUHs2y3JFUdi3bx+CIBCNRpmZmSGXy/3RcXJD4UPf34Pf6UBUZfLlOmXBhscmYZZEozddg3xNQdM1QGffZJbxVJlKvUGx2iDoNGMzi3QG7NRklU2dfuL5Gh0Bu9H8ohlz34Vqg2LdaPkMOozhjia/G5PJxIZOP7ogsKkrSNDnwecwY5EEJlJlnOKCQZ9JIOqxM5YsUa41UHQdv8NKk9fOsbkcs9kKa9r9lGoN9oynaA84GOwMUZUVNKXOgdkCXWGPsTy3mIwRULOJ0Xh+cRY94LKSKdexWSTyVZn9k8lFo4J8WcZjtzA8n2UmXcRuMTEyl8FiNjEey+J0OKjKhr5arS7T2+SlWqsjoFOt12kOeljV1YzHYWd8LsnhiTlcdhsOq4VyTSZTKDM6HUPVNI7PxEDXOT4dI+h1Mz6bwGEzNNXyxQrpXIlaXcbvcZErFGmL+HG7XOw4OMzyzpYF/zETdpsVWVGo1RsIAui6Ibbgczup1OqoqoLNYkEXRKbjGVqiEQo1malYCk1TKRSL1GpVUtkCdquZ73z2g8RmJujr6ztpYKdSKa6++mr+7u/+jte+9rWndc2+2Hhe79ynuyw/oUsejUbp6emhu7ublpYWYrEYjz/+OIcPHyaZTNJoKHzq3icQRIn5XBlRFHE4HWgayIrOVKaKDhxPFJEEo3e6VFPY0hNgWchJxGVhOF6kO+xiLFUmWZLZOZHBYhIZipdo9tpY8OxbtOfJVmS6AnaS2QJWk4hkkpjNVinXFXZPZFBUlWxFJluRqWkS6zv8dEb8tHitVKtVjs4a++jZrPHhIggQdluJeu1YTCKJQpVUsUbIbUUQRQ7NZJAbDeSGoZt9Qhgx7LExkykRcttoDbjYPZakN+qlsVBnb/Y6OR7LE/bYyVXq9DUHSOTLLGvyo+s6ZknCbDJhNRv66stbgzx+bIreZj9em5m5fJWSrGN3OOlri3BgPA6axq5jk2TyBXqagmxZ1b1Q725n55ExOptCOB02Vvd24Hc7sdutbFzZTdDrJhL0Iooie4+N0RoJksjmMZkkRqbmmIylWNnTwW/2HWFZexPigvKJy2HDLEkcGJpgbV8XE/MphsZn8HnczCbSNFQVh8PO8ek5dh8eYdu6FaRzBWxWK6t7uxAlM9lyHa/LSa5Y4WPXXMD48BH8fv9JW0qz2SxXX301n/nMZ7jkkkuewxX/wvKiW5bncjn27t3LihUrFsfqTjQRrFq1iq1bt9La2koqleK2O37BVCJLMpunxW0hVRNoqDqlusKR+SLrWj2UagrrWr0oqs6qJheH5wo0VJ35fI1KQ6Mr6KCuqDR7bQSdFlY2uanJKr1hF8WqQr1hJNFSxTomUWAqXUZtyFQxM9DqoyprRD3GmKZZOiHbZJj5HYvlmclUiJfqzOXrRPweVrT6WdvqplRTiGdLqHKVgzM5PDYzq9v85Coys9kKzT4nDUXDazWEHA7EyvRGPZgWxkib/U6yC3diy8Jkl8NqwmE10+J30hZyU2uoBFw2gm4bu8birOuOYLNIbOlroSqrpAtVVraHqDUUvA5DBipXqtDTGqJYkYllizjtVtKFMpquEwr4CHqcjMymMImw4/AYk3NJRKMhlkjAg8/tRNM0DhyfplqTGZqYRRAEAl4XoCM3FBRVpbM5BJpKKlfk/A2rSeWLrOhqI+zzUGs0MEkmanKDxw4c44JNq6k3GqRzBQZ6O6jLDZpCflx2K/FUjlq9weu2rKNUrTGTSBP0uilWDNPB5R0tJHJl7v3yR4n4PYvbuwMHDrBz507GxsYoFouLw0n5fJ6rr76aj3/841x22WVnLxieB15Uy/K5uTmOHj3KunXrnjKF8+THEgQBp8vN/8yKFE1eRFRcNgvTuRqCKnN4rsCqqIOBheaTo7EimQVZ4dlsFYskGstas0i+KlORFYo1BafFhKJp5GsNRFFA0zWcVhPZSp0mr41Yvkqz20yn10Syagj/H5jOkizW8DnMqJrO+o4AAiCKAq1+B7WGRkfQyXyuSqvfgaLCnokMuiDhspvpa/ahYOzX5WqJ3eMpmr1WVrf5OTidZT5dwOuw0rLQNWY1S0ymSpzTE8a2MMJpMUtky3XWdgTJlGo0FhplTCcC3mamsmCaUK4rWEwiO0Zi1Boqo7E0e0dj+F12ZtN5OoNOupqD2K02+tsjdDcHqTdUmvweNvd34LRZWN/bRqZYNSSfgl46mwLIskJ7yMNsPI1FMmrPa3s7EASBVT3t7Dw0QsTnZXgqxpreDsrVGvNxYwWzoqsVTddIZQv4PU7mU1lEQcBkkjgyOs26/h7qcoN4Ose6/m5MJhP1RoNYOo/ZZGJ0Zp5zVi8nXSiRK5Zx2m1UazKKouK0G91u/++nbyI5N0Vvb+/i/MGmTZsYHBzEbrczMTHBT3/6U/78z/+cyy67jJtvvpk3v/nNzzECXnie9zv30wX3Cd20WCzGhg0bsFqtT5s4AyN59uWfH2XXWILpdBm724dgsRP0uWkJuFgetHJ4JkMul+fwbBanxfCVGk+WGIoVWdHkwmc3E89XcVtNxAs1xpIlNN1wFJnNVrFZRMaSJaqyynyuiiQIlGUVv02g1BDpCLpo9toQBZjLVbCZJaqywpHZHGCsHkIuG8vCLsaTBdKlOgGnhWTJ6HyzmSXylQYmSSJZatAZdBIM+IypMIvI8fkckqATLzdw2iyYJBG/w0Kp1mAuV2H3eApRFOkKuxF0AZMkMjyfI+R2oAO5sjGLPNAexCSJTCTynLO8mXxFplhtMNgTpbfZR75cZ3lLgEajgaRpTKarHBhP8rsjE5hEkfH5jLFEBnYNTbFneJpEroi4cCduiwaYSxcQzWZEk4l0oYzNYmJ8PkW5XKZaq5HOF+lsCTOTSJPM5jFJEqqi0BzxMjwdx+91c3Bkkky+hKJqNAV92G1WJucTDCzrwOOwcWRsmlyhjNxQEBCwmk20RYMcHp1i86plKJrG0bEpKrU6Eb+XXLFszOdLJr728XeTjs3Q09NDKBR6yrVkNptpbm5mzZo1vPrVr6ZYLBKJRPjHf/xHvvKVr5zhq//556wG99OJJP5hcD9ZN23t2rWLd+qnC+y5bIUvPHCIo9NJRhJFVrQGMEsibpuJ6WyVXFVBkEy0hT1Y7A7mCg2WeQVmkgWiTkP2NuQ0k8jXWNPqo9pQ2dIdYKDFi9Mioao6mzu9KIrGxk4/DqvEimYP9WqRVo+FsM9DciFQ901l6Qg6F+etXTZD3zxbkSnXG5gkQ+iw2edgVYuXIzM5xhJFvHYzsqIZwg0NFb/TwkymzO+PJ5FEgbDXiSQKtPkdqBpUqxVi6Rwhp3lRI31jT5jpdImZdAmX3cRcrkJd0dB1nWpDRRQEitUGQ7MZ3FYzbSEPO4/HafY7MZskDk0m6Qx76G8NcXw+R75Yxu5w4HFYWdkeolSVyZTreB1WhmaSlGsNNvS1s6a7hYNjc2xc0YnXZTeGNEwSIBD0ukEATZDYunoZ08k8kiQyPpfAZRE5MjZDU8jHTCyJ2SSSK9Xo62zBZTcaZnram4ilcuw9OorFZMLjdCAKAslcgUjAS1PITzpXZGo+id1mI5Ut4HO78HrcHBufYV1/D9Ggb6EjzsFAbwd//Z63ko7N0N3d/UeB/WSq1SrveMc7uO6663jwwQfZu3cvf/EXf/Gcr/8Xmhd0z12r1di9ezfhcJhly5Y9bcfZCQ5Mpfmb+55gMp6hJqusaAuRr6lUZY3DszkGmt1MZypEPVZqskrEbWVTpx+P201LwGlMClkE0pkMk5kK5brMcNwYn9w3lUZAZ9dkmkpDW/TX3jmWplQsMpRqUNegVFcW92Z9UTftAQfndAdxWiXmc1VMIsxkyqSKdewWiWOxPE6riXJNoTXgoK5ohNw2EsUaYZcNURSwW0y0BY2+81a/nUQmT7Wh09NkeIBZbQ6agz5GkhUEVabTZ2HfeILJZBGr2QisjqALn8NCLF+hUJHpjnhIl+sLM9wNnAtlLLmhomg6DVVjPltaKGdBXZOQJInuqA9JgKDHgc9pY+tAl9GNZrcwGc8iLbwt4/Np7DYL6UKJpqCXekNh//AUWwd6mUsaWmjdLWE8LjfnDPRitzvpbgnjspiwmg2Xz7DfTblaoybLtEaCRnLPYmZgWQeZfJHhiVlCAS+Tc0msFjN2m4WaLGO1mmk0GoZGfKOBqmoLM9w1LGYTTruVplCAT7/3arKJObq7u086Z12r1Xjb297GW9/6Vt71rnct/v5PdbU5lfChrut86EMfore3l7Vr17J3794/6XlOhxdsWZ7P59mzZw99fX00NTWdNLD/+9AsX/35UdLZHKJkpqSbsZklQMdhEekMuqjUFUQBHhvN4LSIlOoqx2IFdk1ksEgCI6kaHUEnsmhY68zmynS6BWZTBda1uClUG0TcNhwWiajHRthlwSToOB12ZFWnK+BEX3D+nMtVSJXqZCsyO8fTiKLATLZCZ9BFd9hFX5OHhqLisEg4LCYm02WCCx1kfqeFgNPKgZkslbqCJAgEXVbMkkC2UEGyGmb3hUrDyPQ6LEymSgC4XE6KDaMHvaFqRJ0i8+kch6azeO0WXFYziUKFoNtGYkHxtFhrsHc8yeZlUUbjOUq1BgGXjcNTKRqaRlfEy1giZ8xwz6SwW02ki1WOzaRI5Mqs7IwgiRI2iwnJJNIZ9dPTEsTvcjIxn2Lf8BSSKGG3GtN08Uye2WSGoak54pkcyUyeg6PTlCoVZFUnGg6h6QIHj08h6hqZbB5FMXy7PS47bqeDI2PTLOtoQW40WNXTjsNmxSRJeN1Oulsi5IoV7FaLIeJQq5POF/F5nAxPzNHT3sTH3nkVucQcnZ2dJw1sWZZ5xzvewfbt27npppvOiLbAqYQPf/aznzEyMsLIyAj/9//+X26++ebn/JzPxPO6LD+hgDo/P8+RI0dYv349brf7aVtJT3DHI8f4z98OUSwXsdsdVHUTHpuZ+XwVs2j4aYuCjihAb9TN6hY3iqZRqjVYHnGzptWDqsPqFg+1hspwvEiL10bE62SyoKIhcni+yEQij0vSyJWq2CVD7mhtmw+rxUx/k5t8TaauqIv78q6Qk1SxzqoWL8Vaw+jfthuWQqAzl6tSb6hoqsbm7hBum9F2ardI5CuGjvhczvC9Vhoyy/wWnA47hZqxsslV6oYwgiBQqiucsyxMraGSqciE3HY2Lwszlm2QqKh4bCYkXSGRK9IXdVNvqJTrCkGXjbF4HovJ+JBZ2RokXazR5LWiAxoifa1BzAuigCvaQ+wcmae3JYjbbuHQ+DyFiuEI0h72sXd4Bk3X2Xl0gni2wIr2Zjb2d2CSJNb0trP72Dh2i5lytc665Z3YLCbamkJ4HFZaQgEK5Tp+j5OJ+STnrlvJXKaAZDKDrrPz4BASGsfGplFUlZDPTV1WSGTz2G1WdhwcoingRdN1Dh2fJOBzM5fIoOs6TSE/hVIFi8XE//Pea8gn5+no6CASiTzjtdloNHjXu97FBRdcwC233HJGAhsM4cNAIPCMf7/vvvt4+9vfjiAIbN269YQeevMZefI/4HnXUKvX68zNzT1lVPPpZJbqDYX//V/7+K8940zGc5itdmZyNVwWAbtZ5Hi8wPF4iXqjwXSmQrYsYxZh10SGfKXBVLqExyayayJD0Glh90Qav8OCoun0RlzE8hW6Qy4sJgm/w0K2puF1GmKIlXIJBMEYvtB1arKC12EhW67THnTSGXRwZCbHXK5Cqd4gXZIJuqyYJBGP3UxD1fHaDfXTakNj13iKVLFO2G3DbjJKW0GXlWxZJluq0JBlxrIN/C4b6XJtQaGlzMauEOW6sdKZTBYXRz9dNjO7xlKE3TbSJZmoz0nI7yXocXJgJo9Sr2ISBdoDhp1QR9hDtaGyazRG1G1B1HXO6WuhphjL83U9TTRUbcGRVKXW0BjoNIY5ZlMFrBYTI9NJGqqG3+2iqynI3qFJvG4HO4+ME8vkMAkCdVlheUczkYAXp83K3mMT5HJ5w4bXYiGZKyCKInVZoSo36O9qxed2MjITpy0awmy2UKzU6GoOEk+mqFarBL0ujk/N0dfZgqbDdCxFZ3MYpaHSHApgt1lJ54rMJbN853O3UkjF6OjoIBqNPuM1qCgK733ve9m4cSMf/vCHz1hgnw6zs7NPGRFdsKF+VsKHp8vzFtyqqvLEE0+g6zrr1q07aeIsXazy8e//nv3HZ1EbddrCPkRRJOK2YjcJ7JvKsb7dj4ZOwGGmVGvQ6jUzEiuyPOIiU5FZ1ewhW6rTHXIgKyormjxYTAKbOv1YTdATdtPms+OwSPQ3uYl4rKhqg5qiY3O6kMxWGqpOo1piMl2mUq0Rz1fx2Q23zdaAgzVtfmbSZWYyZQIuK+W6Ql+TB0k0bH7aAk7Ehf9vPmfohGcqDYZiBVY2eVjd7ABNQ7QYS39JgHylQU/US8hl4+B0lny1TshtW+gNPzEZphL12mn1G332LpshqeSxW2kLODkcr9AdMVxHdU3neCxPKlcADA10n8+QPNZ1GJpJsfv4PB6HlWypyublrTQF3HiddsJeJ267MRbb3uRndXczdpuF/rYIDquZvSPTNAd9NId8mM1m1vS0ksgW8LmdTMXTtIV96IJIczjA1HyS12waYCqWYk1vB6PTMQ4MTSCZjD14b0czOw8fZ9NALw67E7fbjctpZ3IuiSzLmEWBdDZHtlAiGvJTrFQ5Nj6LxWQiWyjxgy9+hGI6Rltb20kDW1VV/uIv/oKVK1fyqU996nkN7Oeb52VZXqvV2LVrF8FgEKvVSiwWQ9O0p31hh+fS/O3djzMVzyLoGlabYdlTriukijV+MxynzW+nKquYBZ1EUaY7aCdfbRByWfA5LERcVjRNQ5QEJEGgoWjM5Co8Nmokzkp1hV3jaaazVY4nipglkUShjtxQCDothBxmbGYTW3uC2J1uuoJOijWFuqqj1IoMxQr47CbGk8XFRJnLakgS759M01B0dB38Dguyqhp36YpMb8RNpizjtpkolcscmq9QVQ0zwvUdAQpVQwop6rbicViQVY2pdBmv3YLVLOG0mnHbTDw+miRXkQl5DNkoi1liIlXEbBJp8hmz5boOVqsdt8OGzSQyna6wIuqk1lBJZQusbguwvNmHpulsWNaMpoPdamH38TkmEzmypRrtYR/Fap26oqJrOkcmYozMJKkrKiZRYu2yNgaWtXHw+DSlWp1cycjs+z1OpuNpAl4XDrsdi9lwF9EFSOWK6Ogsa2uiv7uNY+MzrO5tI57J09EcRlYUdHQsFhOqBlarha7WJiqyQr5UIeJzMRdLIgo6fZ3NzMRS/OCLH6WSTdLa2ro4Xvx0qKrKhz70Idra2rj99ttfkMBubW1levr/VyyemZmBZyl8eLqc9Tv3icTZ8uXLaW5uZmBggFKpxO7du3niiScWpWYANE3n+48cYnxm3hD0N9uQBI2jczlcZoEVzR7WdwTpCdpQVYWIx0alLjOdKXN4Lm/sa3WN8WSRmqIiCQJ+hxkdnZ6Qi76oi1SxRn5hHHM8VWJFk4uZRBYAm92BrBo+YAdncmQrDXaOp3FZTczl63QGnbhcLta2uqBRpS43cJqM7LlFErGbDbXUZLFGvaEiCAKlmkKz105H0Mn+qTSzmTKtbom6Bk6riajXTq5c54mpNMWazObuEGaTMcXWHjCC0WqWKNWUhUETw/Knr8mH3NDoDrlxmCVkxdBV13SdnoiHTLlOqdYgV66zImKjPeTiWLJKa9iPw25jaC6LRavhtpvZOxanUm9QqMi0BNz0NPmpNhSOz6fpaw1xeCJGXdHYvKKT/vYw5ZrMyu4W9hybpC43CPvcSJJINOjFZjGz/9g4g8vbGZlJIEkSR8Zn8bkcVGsy9UaDmXiaHYeGCfkMoUK/x8PRsRkcNit1ucFcIoPDYiWdK6CoKn6Pi9lExpjw83gwWczYLWZK5TLvvWwbmfkp/H7/SQNb0zQ+/OEP4/f7+fznP/+C3bEvv/xyvvOd76DrOo8//jher5dnK3x4upxVgcR4PL6ocWaxWBYN19xuN729vZTLZeLxOHv37sVisRAIBHjjMhs3vvo8pisSPz8wRb6qMpurU5MVozWzICMIAn1RN4pm2LVu6vSTqym4rSKpUgOv3cxwrEBX2E1NVjBLImG3nclUkWVhF1PpCt1hFxYBjs1mkVWjESSWr7E84qYsK0S9Njx2ExZJwG6VUHWIemxUGjoHZkts6w1RbtRwWS30hzRqpTzzJR27WWQ+V8EkCVgVjVSpRl+TB1030+yzU6/LjKTqNPkchN02LGYJn8PIPcxmy9QVo53VmO823EVAZyZTZnmTB6fNTNRjZzpbRhQFjscLBFxWNveEKdVkrCaBdMl4/EJNplhrYLF58JqBVJl8pY7HZkbRdewuL8G6QK6SZXg2hc8mIgqQLZQp1RUKlTobelsZnk3idto4MjFPs9+FIArMxJK0R/w8cXyG/rYwsqKyf2iSgY4wB8bm6WgK0dNiyDkN9neBDpVajRWdLcwm0qxe1kFpYWm9cVU3mwZ6DTl3XTdkiRXDMLAlHKBWb7BmeScCcHR8hmVtTbhcTj57y9up51M4nU7K5TKPP/44fr+fcDiM3+9fzOVomsYnPvEJLBYLX/7yl8+IlPYz8WThw7a2Nv7mb/5m8eb1/ve/n+3bt/Pggw/S29uLw+Hg3//938/auQinEPw/PTeAZyCdTmMymRYN1k72aZlMJjly5Ahmsxmr1UokEiESiWA2W9gznuQ3QzEe2DdJd1OAVLFKsd7ALJlRFBVdEgm7rDjMIr8fyzLY7mMyU6Y37EIXBDRVw2SS2D2eZlWLl4MzOV61LMDBqQxtAQfH4mVWtngREDgymyPssRL12DFJAiZRQABmshW8djNum4W9E2k2dAXYOZ5mZbOXoViei1ZEefhojOVBK2jG86UqGsmSzIUrojxyLEZvwIxksjKVNZpOBlp9oIPFJKJpOvum0gx2BDg6l0dRNc5fESVfkbGZTfxuJM6KZi9Wk0i5rix4gavMpEqs6wjwxFSaLctCJAtVxhJFNnWHOD6fIVuW2bgswp7jMbYuj7LreJz+Zh/VuozPaWNkNsVAe5DHhmZZ3xViLpnDZ5cYjuURNIWwx0F7xIega9RlGVVVmYpnyObyvHbjCn65+yi9zUEifjdjU7P0tkUo1Rqk80bDyYb+LuLpDNVaA4/Tjq6puJ0OvC47Ow4MMbiyB1EUmIunaYkEeeyJo7x2yzpi6SxmyYQkiZhNEtl8iUjQy/hMnFXL2rnthitRylmi0SitrUY+StM0crkcyWSSTCaDJEns3r2byclJ6vU63/jGN85qYD8Hzsoy4qz+pz/96U85cODAYg37mUgmk4yOjrJp0ya2bdvGqlWr0HWdgwcPsnfvHiKmKjdftJxffupS/vL1/ZzbF2GwI8R8tozTZqbFY+PgVJqDM1lCLiuKanRpacCu8RR2s2SI80sCDVVjfZuHaqmIz2XD7TDqz1G3ncxC91miUMNmlmgoGgemszQ0naDLsOGVVY22gHPRH3s2W2F9R4DiQgnL63YxllPIVDVSJZlOr4lsLkvAJhLyuhlKlGgLGJ1tVpNELF9FFAVMJoGBVh/pcp1aQ2WwK0Rd0dgzkaYiN9jYZXRY2c0SI/ECfqeVRL6GIBiNMz6HBZNkIl+RWdPmJ5ktkKsqBN02Dk5ljMy9rLFxWYRMuUbIa9zZC1UZSZKI+BxYzGa6mvwMxQps7G1hbWeE+UyRfSOzNOQ6pXKVA6NzdC8Ec7FSp7s5iMdpZz6Rwu91oSAyn8rSFPAy2N9Nvlylt7UJq9lE2O9hIpYk6HMxPhdnw8plZAtlVFWjJRJgJp6iv7vNsFwem8bttDETT6NqOj6Pk4m5BB1NYW694Yo/CmxgUYSzv79/ccDo0Ucf5d5772V4eJgf/vCHZ+lKf3FyVoPb4/Hwf/7P/+Hcc8/lU5/6FDt27PgjFdOpqSmmpqbYsGHDosqK3W6no6ODTZs2sWbNGkRR5MiRI+zatQuXWuQDF/by5T/bzA8+cAFv2dxBplRjVauPQrVBu9/BcKxAk9dGRVbZ1Bmg1lAIuoxM8rH5AtVKGcHiYCZbpSqr9Dd5sEgQcVtZFlkYWFn4LKorGjazxMGZHBrGTHfAZSFbqhPxWFE0jYlUiZlMeaGxBkIuK00+JzoQ8Dg5EKtTkDWK5SIrwzZ8tgWDQFEgWTSGPeoNlWxZJuiy0eJzcHA6w1TG0BU3SSJ7JlJYJAFV13HbzGi6jqxqLG/yUKjKRH0O6qpxrodnszQHPZgkiRWtAWRVI+yxYzZLDM9laQu6yZbrJPJGo8toLIvNYnSxxbKGAkwiXyES8LK5v53B3lbcDgcWEdqDLuKpPL2tYaYSWewWE/VaFYvFgrhgxtfRFGTH4VF8HgfHp2PUFGOWXhQFmgI+bBYz8XQOYeFFtpjNTMdSZPJFWkN+pmMpWsIBGopKWzSI02ZlfDZOoVTmf918HVolTyQSeUpgPx3f+9738Hg8TE1Ncdddd7FixYrnekm/pDirwX3VVVdx9913s2PHDi644AK+9a1vsXXrVj760Y/yyCOP8NGPfpREIsHg4OAfSTKdwGq10t7ezsaNGxf37kNDQ+zYsQNzNc2b1zXx09texxev3cStF6+iJ+yg1lBxWiWcFoldYymKtQZWScQmanT5TGAyatJmSWA4XkAUoK6oHJjJYTVLNPsMB0lDU83BVNoIsmxJJlmoLqqltvgcrG71UW8ozOerRDw2chWZgNNquIdYJXLFMjow2BlkriwwnKojCdDqMdGolHBbDSFCp9XMXM6oT/ucFiJeG7OZMiZRoFBt4LaZcVgtTGcqCILRy24SBZp9TtZ0BBmaL5DMV7AIKl0hNyVZozNkjFkCBN12ZjNlIl4Hx2M5vA4rpZrMqvYg89kSM6kiLpuFsNdF2OckWahwdCbF8GyKncMz1DVwu12GGmyhgqaoxLMFhqdiuByGF5ncUMmXa+wfmmCgu5Xf7T/Giq4WGopKwOtaUCZtI54pcM7AcpLZAvliGYvZRDydY+OqXoYm50jlCrRHw5QqVcZnY5hNItWazA++9HGUco5QKHSiPvy06LrOV7/6VY4cOcK3v/1tTCYTTU1NrF+//k++lh966CH6+/vp7e3l7//+7//o71NTU1x00UUMDg6ydu1aHnzwwT/5uc4Uz4vjiN1u56qrruKqq66iXq/zk5/8hJtuuolIJIIsy5RKJc4999xTSsRaLBZaW1tpbW2l0WiQSqUYHR01mh2CQa7f1ILb7ebm1/Tz2PEEP94zjctq4niiSG9QQRIgXdXo91qoNlS6wy7mc1UypRrCQhAoqsZ8rkq738GeyQyvXh7m6FyeLT0hw+dMUSnWjN5mv8PM748n6Qy5GJ4v4LObGY4VGWj1UazUaHNLOJxO0vUisXyVbFlmU3cQk0litlCgye+mKlexUyORriEAFhF2zeXZ0BlgKl2myWtjJlOmr8nozvI7LZTrDfKVBs0+O1aTxKMTMRwWial0mcEOH5JkQtc1Dk6lafE7GWgL4HOYOTybo7krgNNqZvdonMHuCF6rhNNmYSZdpNrQ0HSdZL7CxmXN7B6aYk1XlLH5FAfG5gk4zPQ0Bwl4nIBGk9eJJOrIioquNhiezbKmpxlZUelsCTI5n8ButWA2mdAsZpqCPiq1GrliGbPPRcjnNiSUMnkGV/Sgqhq5YoW2aIBMoYjX5WB5ezPDU3Pc+b8/glbJEwqFTqoTrus6X//619m5cyc//OEPz4jssKqqfOADH+C///u/aWtrY/PmzVx++eWsWrVq8ZjPfe5zXHPNNdx8880cOXKE7du3n8qi96zzvGcXrFYrhw8f5p/+6Z947LHHuPrqq/nJT37Ctm3bFl9AWZZP+TgnxvXWrVu3qLI6OTnJ448/Tjk5w+v7/Pzn+8/jgVsv4h2DASIuEzLSgteXQqZUx2u30BNy4bSamc1WENAZmjd0uisNlVafg4aqky4bGmbTmQpzuQpVWWFjZwCTKGA1S3hsxgXksVuoNVRkuU5dbjCSkZFEkb4mDx67GbfNzPF4gdmssRLQdFB08AcCTBdVQi4LhVIZl0VArhtDHR0hF71RD/smM5TqCo4Fa1+rSWQ6U2Y0UWCgxUOHR0IHJMlEVVbQMRxIqw2VozNZHAsXufQk11TDcN7EvrE489kyM+kCc5ky5/S1UavLRP0uNB3OHeiiUm/gczsBgXS+SDpXwGm3Egn4KNVVQgE/A90tSKLImu5mxqdjNAXcJDJ5rGYzc8kMAnDo+DSFcoVktsDOg8N0tURwOmw47TYOj06xqrcdn9uF3DCkiWtyg3/+xE1IjTKBQOCUgX3HHXfwyCOP8IMf/OAZV4PPlp07d9Lb20tPTw8Wi4XrrruO++677ynHCIJAoVAAjPJvS0vLGXnu58JZzZY/GxRF4Te/+Q133303jz76KIODg1x55ZW85jWveVYTOqqqkslkSCQS5PPGUEI0GmX58uXkqg0ePjzPI8di/HYoztblER45GmNzd5Bd42lWNHs5Np8ntKB42uSxLcxqq7hsJiqyIaE0n6vQ3+TBZ7ewczzFRSuiFGsqLpvEI0fj9IdtWGw2DkznOKcnyJ7xFBsWEmJzWcP4T9UNmyKvw4LdYmI2U0bVNGL5Gg6LxLpWN1PpMiEbjOYUSnWjUWZli9cYrdR0Dk2naag6oHNhf5RCXaUuNxhLFOkMuTCbDJugQ1MpLlzVQr5SR0QnXajgtFtJFap0BBzU5AalWp3R+Ryr2/zEs0W6Ix4eP2Y0W3RH3FhMIh6bhUqlgiLXKdYVpueTvH7zSn6x8zA9UT/xTA5JEunviJIrlHFZJYYmY6zsiJAplgl43aRyRcIBH8cnZgj63IT9HnYdGuG8DauIpXKYzRJOm41ytYrf6+Yv33YZVrWKz+c7pdnet7/9be677z7uu+++P3mq6+m45557eOihh/jWt74FwHe/+1127NjB1772tcVj5ufnecMb3kA2m6VcLvPLX/6SjRs3nu5TvPSy5c8Gk8nERRddxL/+679y4MABbrrpJn7zm99wwQUXcOONN3LfffdRqVRO+TiSJBEOh+nu7kYQBNra2lBVlR07dhCbHOWiHhf//Ofn8NtPb+fy9e28YXULJz7fIm7jgugKuegOOTk6lydZrFGRFXTdGPqIegyRBkk0zPx0HRqazq7xFPF0Hq9NojnkNTrETCI1WUVdKHftm0wR9lhRNJ1mr51ksUaqZGTHfQ4LUa/RXTbQ6uOJ2SKzBZlIKEi730nEZaZUV8gVSxTKNaqyQqvPjqrpDHaGqCiwayyJSRIJe+yky/VF00NJNGro+8aTAKgIHJpO0x5yUVc0nphI0Bn2YhIF7DYL3U0BKrLKQEeE/rYQY/Np0gVjr18olhiZz2G3WbFbzNQVFY/Tjs1qYXVPO/2dLditVuKZPMemDIMBq92B027nyNgshWKJQqGA3+OiNRLk908cY83yLsMdpFzGYbVy8PgEIZ+HD/3Zpdi0Gl6v95SB/Z//+Z/ce++9/PjHPz6jgX263Hnnnbzzne9kZmaGBx98kBtuuOEpyeMXgufV5fN0kSSJ8847j/POOw9N09i1axd33303f//3f09vby+XX345l1xyyVPM2p5MPp/nyJEjDAwMLJoi6LpOLpcjHo8zMjKC2+1mc0uES9ZsQlZ1fj0UZ/9khj2TRkfa/qkMbpuJZp+DXWMpzAvKopIksKEzSKneQFY0JAGyCworii5SqKugG9a9bT4roigw2BGgKisoGpgX5I86gi7a/A52jqfRdWj12Y1sstdOqlynIiusaw9QV3WOxops7Q3T2tDIV6rMZ6tYJJ2gTWBNq2fhXBeW3ZLIVKrIpp4wc9ky8XyFvmY/I7EcJlFAEiXKdYXlzT5KtQalqrEFGprLsLozjIBALFci6rFzZD7NOX3NOMytoOuochWPy4kumdB1nc0DPcwms6xoN6avcsUy+ZJhLLC8vYnjU/MM9nfy6J4jvGpNL/1drZgkgfHZBMvbIkzNxljZ2Uy5UsXkdtIU8lOp1bFZLHzgz7Zj1+u43W66urpOer3cfffdfO973+OBBx44YyaTT+bpWkb/MFN/xx13LI56vupVr6JWq5FKpU46mXa2eVEG95MRRZEtW7awZcsWNE1j//793HPPPfzTP/0T7e3tXH755Wzfvn1RWD4ejzMxMcH69eux2+2LjyMIAn6/H7/fUP8sFAokEgnGxsZwOBysi0R47cqV3HrJKnaOJwnstzCbqXBgJrvo0OmymZBEgdFEgb6ox7AK8tuZyxjlo2xNZbAzQKFm7NEDbjvTmTLFqowoCqxp8xmeXVYTDrPIY6Np3DYTsbyxPK7IKiGPDbNo2BydGDYBQ1p532Sajd0BHCaB4USJvqYAe6ayRFwm5goyPruZmqyg6mAySQTddiwmiaDbxrF5aPU5SRYrZEo1epsMpdSR+SzLmnyMxrLMZYq8dk0Hu0cKRLwORAFG57OkcgWKVZnNy1twmFQOTsRw2a1EvE5mU3nGZyqcv66fXKFEayRAtdYglcvR2WyIL1otZoqVGiOTc2we6EUUBWw2G9lKjeWBKIlMjmpVoFCqEM8W+Pe/+RAOGrjcbrq7u096ffzkJz/hW9/6Fj/96U9Pqmj6XNi8eTMjIyOMj4/T2trKXXfdxfe///2nHNPR0cHDDz/MO9/5To4ePUqtVjvpLPnzwYtmz/1s0XWdQ4cOcc899/DAAw8QCoUIh8NYLBa+8pWvnHaWVNd1SqUS8XicVCqFzWYjEokQDocRRIld4yl+O5zgvr1TuGxmIh4bO0aTbOgMMhLPE3UIjGWNkdB6Q8VmlvA7LdQahrJKrmK4gYwlS6xs8eK2mdk/mea8/iipUh1V1Tk0m2N9ewCrWWTHWIrNXQF0IFGoU6zKZMt1lkc9zOUqLA/bGY6XcNnMLG/ysnMsxbqOALvGknQHrCQLNdp8ViSzBXQYms/z6hVN/HYoxoaOAE9MJhjoCKNrGnvHYmxe1oRV0Kg2FBL5GlGvHVVtUK7KuKwiO4em6QoaPe6JfJmQw4TbYSXgdrDn6AStYS/1aoXetghzyQzHZxJs6O9k9+ERXrt5gIMjU/S0hBcai+DoxCwrO1tQNY2xmRgtIT+pBVXTx/Yf5R9veztesyEZ1dLSQjgcxuv1Pm0T1AMPPMA//uM/8sADD5xUg/xM8OCDD/JXf/VXqKrKu971Lv76r/+az3zmM2zatInLL7+cI0eO8N73vpdSqYQgCHzxi1/kDW94w+k+/FnZc79kg/vJqKrK+973Pvbu3YvVasXtdnP55Zdz2WWXGUH6LIYETvS7p1IpTCbTYhusyWRm/1Sanx+a4xcHZ427ebbKxk4/eyazbO4OIQC7J1JYTBLLIh5MoqGEKgoC+yaNVlWnzczOsRTn90f59VCcc7pDqJqG1SxyPF4kUazz6uVhfjucYENXkL0TaVwWiYaq0RM0pJmqqkC1btTWox4bK1t8/HooxquWhanKCnsmM6xucaHKMuPpKg1NX7Q2GooVmEwVWdfuZ/94gsHuCEGnmf85MAmCgMcmkilW2bK8hUq5SKlSwe/1EHDZ+fnuIQbaA5QrNUJuOwfHZmkN+fA5zIzNxFnWGkZRFKxmMw2ljtVsZsfBEaJ+N+1NIabjSXxOw0e9XK0R9rlJZvNGic/t5GM3vpmA1ZA46urqWkyMFgoFvF4v4XCYQCCAJEn84he/4Atf+AIPPvggwWDw7F1czw9nJbhf9Mvy06FSqbBmzRq++c1vIggCo6Oj3HvvvVx//fVYLBYuv/xyrrjiCpqamk4Z6E6nk56eHnp6eqhUKiQSCZ544glEUSQcDnPr6/p4/7ntPPT4QSYbTYymjCSfx2bmtyNxWnwOZrIVbGaRuVyF9oATXdcZ7AxSlQ2vbYD8wl5X0XX2Tma4oD8KApzTE6JUUwBhcRZ8RYuh6Hk0UaU36sZjN+G1W5jPV2kPujkwnaHZ68BpNfH4mJE0S5YU2gIullusHJzOoGkKqWwel1nALAqkChXWdUcMqyIJVnWEMIkCxUqVZc1BqrKMpiqMJis4Cg0ErcHm/nYEXTNkoFUNRVGNBF7Ay8hUjJGZBErDUGxtDnnIl6us7+8imy9gs5hpCQXwOGw8vPMg3a0RJubiNIcD2C0Wbrn+UgJWo1Ta09ODIAiEw2HC4fBiviSZTPKNb3yDRx99lFgsxs9+9rOXQ2CfNV4Wd+5n4kR767333stPfvITNE3jsssu48orr6Stre1Z3dFrtRqJRILZ2Vmq1SodHR20trZit9sZms+zYzTJ3bsmcFiMZNyWZSF2jqXY0BmgoerMpMssi7rJVeSF4IX5fHXRc6zZZ+fgTBaf3WKU2po9RDx2do+nWBmyMJaRKcnGDPxghx9N18mU6siaznSqSFvASV+Tl8lUiYDTwq7xJCuavbgtEtWGyniySE/YzYGpJOtaXMxmK6TKCoOdAXQd9o3N87q1HewenidbrtEXcWAyGTPkuq6x48gEZknk/DWd7D48Tq5cZePyVuKZPE1+D6lMlpDXhd1qJpsvUChXqdbrqI0Gnc0hrGYTjx0Y5tXr+6nWZARRYGR8mvUrenjPm99A2CFiNpvp7e096fvy6KOPcvvtt/Oa17yGX//613zyk5/k0ksvfc7XygvMy7sUdjYQBIHOzk5uu+02Hn30UX74wx/icDi4+eabed3rXsdXvvIVRkdHOcUHHGAsFY2mDzNbtmzBZrNx9OhRdu7ciaWW4S2DzfzXra/jf1+7kQ9fMkCz14GuQ1U2hBIzFRlVMwIy4rGRLFaxmkRmsmU8NqOkFHHbiHiMMo7bambnWBJdVXHarAQ9DrpCLhqqhqrrVOoKNUUj7LbhtJoQRJF0ucZoooCGzuo2P5IgYLVIHIsVaA+6mFhoo7XYHOiCmf5mL3PZMvPpPFZJZC5bwWoSafZYmMzWcDns7Byexee00dcaoiXkBSR620Js6m/HajHTHPCQzBlKrDuPjFGTG/g8TuKZPO3REOVaHb/bxeMHhxlc0W2M7hZKSKJIW1OYd1/1OiJO6bQC+7HHHuNTn/oUP/rRj/jCF77A7373O970pjf9ydfHqVpKAX74wx+yatUqBgYGuP766//k53oheFnfuU9GIpHgxz/+MT/60Y/IZDJs376dK6+8kr6+vj+6wHRdZ3x8nEKhwJo1a5AkafFvjUaDZDJJPB6nXq8TDoeJRCK4XEZr66+PxXjo4Cw7xpJ0BF1MpEpsWRZmx2iSde1GEuiJ6SxNXruhsWYWGYkViHhsDMUKrGhyEfa6+M1QjPP6ogtLexVRFNg/lWVjp5+GBolClVy5Tq2hMNgZZO9Eik09IUyCwLG5HH1NXnaOJQk6JCRBIFOq86r+ZhqyzN7xJCua3Iwli+QLJda0esjVFIJuB6rSwG42oSgyhydiOG1WvBaYTmZY3hoh6Lbx+4NjaI0aWwd62H1snHXLWhmbjdPVHEFRZNLZIiG/m1gqS3PIhyw3OHx8iu/83V8SsotIksTy5ctPGti7d+/mQx/6EPfffz8dHR3P+f1XVZW+vr6ntJTeeeedT2kpHRkZ4ZprruFXv/oVfr+fRCJxtkpbS3fuM0kkEuGmm27i5z//OQ899BCdnZ18+tOf5vzzz+dzn/schw8fRtO0RdOEWq3G2rVrnxLYYLTBtrS0MDg4yKZNm3A6nYyPj7Njxw7KqVneuCrIv7/31fz6r7dz43m9bOuNUG8Yood+p4VYvrpYDrOZRUp1hc6QC61hdKoV6zq5BbVUw2wwjcNiwixJtAec2CxmDkxnafE7Fu/k0+kSq9sCCIikijVUTcNhNQZNljf5kUSRjrCXekMjVazSGXKjA4WaQsBtoy5YSBcqNOpVCqUKpWqNfcdn2TbQSTJfRtVhoLuFQqVGta6wvreF9qYQxWoNl91GXVFpDQd4YmSCgMfNdMKQf24J+3HabRwZm+GO2z9I2CEhiuIpA3v//v3ccsst/OhHPzojgQ2n11L6zW9+kw984AOLmfgXsmb9p/CySKg9V4LBIO9617t417veRS6X47/+67/4/Oc/z+joKCaTide+9rV85jOfOeWg/4npo6amJlRVJZ1OMz09TbFYJBAIcHF/hGu3dJOvNnj48BzDsTy/P56kJ+xakEQGsyiwfzrH+jY3qzxmCtUGmZJhDxQvVGn22UEUOTiZXvQMX9vuR1j48O8Ou8mUaoylSqxo8i6qtpYX5J68DjOFmsJ83gj6kNPGyHyaFrdhROi1m/nd0DztPhc1VcDjdpHIlRAF2Ds8TW+TD7fdjCToNAU85EtVjo1P8rqNK/nF4wdZ29uO2WTi+NQcq3vaKFZqDPS0EUvniSUznLN6Od/49Ptp9VnRdf1pV0pP5tChQ7z//e/nnnvuoaen5wy940+vQrpjx46nHDM8PAzAueeei6qq3H777S8p18+l4P4DfD4fN9xwA1deeSVXXHEFXV1dTExMcO655/La176WK664gk2bNp0y0CVJWiyjaZpGJpNhbm6OY8eO4fP5uLAnwlUbO7jl9at47HiC/9o/QzJfXmyIcVitPDaaZGN3iLFkCa/DzHyuSm+Tl4qsEvXYcdlMHJ7N0ep30BN2sbnH0EcfihWoyipT6TLdYSddYQ8sNOJ0Rz0sa/KiaxoHp7N4rS6a3FacTie7R+d57doORAFCXheCrrJvLMaGnia6Qg4eOzJFXdHw2jwcmYxRqSus6W4m6vdwbDLOuuXti+e+rDWCgECuVMFtM1Op1ti6tp+3v+l8uoIONE2jv7//pIF99OhR3vOe93DXXXfR19d35t7k00RRFEZGRnjkkUeYmZnh/PPP5+DBg4sNUy92loL7GRBFkU984hOLjQjVapWHHnqIb37zm9xyyy1ccMEFXHHFFWzduvWPlupP91ihUIhQKLQoBXRCX87j8bA+GmHzpf08cegweVsXvzmeYSSWR0dA03QUTae/yYuOwK7xtCE84bdjNYlYTSI+p5W6orFrLMUFK5pY3uRFUTX2T2Zo8dmRRJGKbJgUxAs1hmYzbFkWYX27j2yhhNlmo9JQsUgSxapCf7MPl83CkckYazojSJKEx2pnWXOQWkPB7/ezUhCoyzKCphB129g/HsPnbOWJkUnOW9dHTW5wZGyG7tYIe4+NEw36uGH7+fSEXSiKwooVK04a2MPDw9x4443853/+51P2wWeK02kpbWtrY8uWLZjNZrq7u+nr62NkZITNmzef8fM5G5yRhNpDDz3EX/7lX6KqKu95z3v4xCc+8ZS/1+t13v72t7Nnzx6CwSA/+MEPTtkv/GKmVqvx3//939xzzz3s2bOHbdu2cdVVV3HuuediMp3+56Wu6+TzeaampkgmkwQCAVpaWgiFQqi6wGPHE/xuOMH9+6fZ0Onn10NJAk4L8UKNzd0BSrUGDqsZRdMRgX2TKTb1hNk9lmRzV5CaomEziQzFCojAsoiLo/N5KrUa7T4HU5kK5y6Pkq/WmVoQj5zPV5lLpNnW30qmWObodIrNy5sRdA1dkZmM5yhV6/isOuWaTE9TELtFZHhylqDbjgmNoZkUq7siNBTDKHAmluRvb76WnrCLRqPBypUrTxrY4+PjXH/99Xz7299mcHDwub9hT4OiKPT19fHwww/T2trK5s2b+f73v8/AwMDiMQ899BB33nkn//Ef/0EqlWJwcJD9+/efjdr6izOhdmKQ/Wc/+xlHjhzhzjvv5MiRI0855o477sDv93P8+HFuvfVWPv7xjz/Xp31BsdlsXHbZZfzHf/wHe/fu5S1veQs/+tGP2LZtGx/84Af55S9/eVoz6YIgoCgK1WqVbdu20dPTQ6FQYNeuXRw9fJA+r87Htq/id5/ezjtfvZxrzumiv9kLgK7puGxm9kxksEgi+WqDVr+DyZRR7qo2jGW33WqmxW+nK+JG0aEiq/SGXczlq2xcFkXWdA5OZ1gW9aIJhnmCz2ljJJZlJJZnS38L06kCdUVjx7FpVndFKNVk7HYbrUEvU4kMtYZKc9DH6FyGckPH47BTKNfI5fMcG5/hI2+7hO6QE1mWTxnYU1NTXH/99XzrW986a4ENRn7ka1/7GhdffDErV67kmmuuYWBggM985jPcf//9AFx88cUEg0FWrVrFRRddxJe+9KWXVNPMc75zP/bYY9x+++38/Oc/B+ALX/gCAJ/85CcXj7n44ou5/fbbedWrXoWiKDQ1NZFMJl92bg+KovDrX/+au+++m9/85jeLM+kXXXTR044hxuNxJicnF+WjTqDr+lPaYC0WC9FolHA4jMlkYt9khp2jSe7fP8NookhXyEU8X2Gg1cvuiSwem4ii6Ay0+0EQyRQrzKRLRDx2/HYRsy6TrpsYT5Vo91mwmCTcdisjs2lWtgVwSBqJfAW71YxZgJosE8+VsdPg+Hyajb2tiGhU6zJ2k046X2VofJJLtgyw68gYAY+ToMfB1FycD79tOz0BG6VSCY/Hs9i3b7Va/+j1mJ2d5ZprruFf/uVf2LZt21l9r15kvDjbT08n6/jkY0wmE16vl3Q6fVLP5JciJpOJ17zmNbzmNa9BVVV+97vfce+993L77bczMDDAlVdeyete9zocDgeHDx+mVquxYcOGP1rKC4KAy+XC5XKxbNkyyuUyiUSCffv2Lfa73/jqbt7/2hUcns3xi4Oz/PzQHJpuXCOr2/zUFZ1d4xmWRdz4HBYcFi8Hp7MIPis9zX7EmqHq4rCKhlRzh5WyrKBjtIDWlTJHZxM0eyzMZUps6m3GbVLxux0IAviddn65e5q13RGcNolXrenlv3cdZVVnFIvJhNfp4FM3XsWajiCVSoWNGzdSrVZJJpMcOHAAYDHhaLfbicViXHvttXz1q199pQX2WWMpoXaWkCSJ888/n/PPPx9N09i5cyf33HMPX/jCF3C5XEiSxA9+8IPT2qM7nU66u7vp7u6mWq2SSCQ4cOAAgiAQiUS4+cJl3HrJAMdjBX5+aI54vszdu6bwOsyMJ4ts6AygKzV6gjZquolUSebgVJoLVjRRrjWILnTFdUV8ZMoytYbGRLLAa9Z0kC2WKdQUZFWjjEBdUZlK5NAadVZ0RpFEiYpcwW6xsXllJ8VKnflUlne86dWs7QxSKpVYvXo1giDgcDjo7Oyks7OTer1OMpnkd7/7HR/72MfQNI2PfvSjnHfeeWf7rXnF8JyD+3SyjieOaWtrQ1EU8vn8S2rv8lwRRZGtW7eydetWPvvZz/Lb3/6WwcFBtm/fTkdHx+JMutfrPeVj2e32pwRIIpHg8OHDqKpq3NG3deBwOHjPhf38djjBj/dMkSmUcZpgKq+yvtPLWLyAIMBEusp0MsdAmx9tYWUYcNk4OpsFQSBZVphPFVnW5CNdqBLy2DgwPs8bBnvJFoySnddhQ5Gr7B6aZLC3naMTs/zLR97OQIuXYrG4GNh/iNVqpa2tDZvNhs/n44ILLuAXv/gFe/bs4Rvf+MaZfQNeoTznPffpZB3/5V/+hYMHD/KNb3yDu+66ix/96EevOIH4Ezz00EO8/vWvR5KkxZn0u+++mwcffJBwOMwVV1zBpZdeelKP56dDluXFNthGo7E4URWPx5lNFZhSPPzi8DyleoMjs3k2tHvZO52jw2fB73ZSrlRIFKqsaQ+QyFcJuy38dihOq1ui2e8CtUGqVMMhKBwYj7G2O8rUfJKwz4XXKnJ8OkZTwMMH3nIhq1t8FAoFVq9efdJ+gGw2y5vf/GY+/elPc9lllwGc0sDidF7fk1VuTnDvvffy1re+lV27drFp06Y/+fnOEC/eee5TDbLXajVuuOEG9u3bRyAQ4K677jplt9Gp3qSvfOUrfOtb38JkMhEOh/m3f/u3U+psvZjRdZ1jx45xzz338NOf/hSv18vll1/OpZde+qxn0k/0u4+Pj9NoNGhtbSUajeJ2Gy6jvzw8x7G5HHfvmmBjh5/dU1nWt3oQBBFdV9k5EmNbX5R8pYHLIjA8l6MjYGMmmWFNW4hELo+i6rQFXAxNzhHxOUmm0nzgqovYvCxMLpdbNJN4JvL5PG95y1v4yEc+wpvf/OYz8RKeVr84QLFY5E1vehOyLPO1r31tKbifT07nTfqf//kftmzZgsPh4Otf//qinO3LAV3XF2fS77vvPqxWK5dddtlpz6Trus7w8DCaptHb20smkyEej1MulwkGg0QiEbxeL4Vqg8eOx7lv3wy5YpXZXIWAw4KuNjgym6W/xUdXyE0sXUASAaXOrpE51nVHcFslfnd4kogdVnQ0cfHmfrYtj5LNZk8Z2MVikbe+9a188IMf5Nprrz1jr9vpVG4A/uqv/orXv/71fOlLX+LLX/7yyza4X5QJtSc39QOLTf1PDu6LLrpo8futW7fyve9973k/z7OFIAj09vby8Y9/nI997GOLM+nvfOc7Abj00kufcSb9xApAFMXFLrBoNEo0Gl2UfZ6ZmeHo0aP4/X7OaYtw8ZqtlOsKvz4W43+OzlGq1FB0gXS5TryQol4usro9iN1pJ+xzUqopjM4k2NzXhqbIvGHzCrYtj5DJZFi7du1JA7tcLnPdddfxvve974wGNpxe5Wbv3r1MT0/zpje9iS996Utn9PlfbLwog/t03qQnc8cdd/DGN77x+Ti1550nz6TfeuutzM/Pc++99/L+97+fWq3GpZdeyhVXXEF3dzeapnHgwAFcLtfTzkafkH0Oh8NomkY2myUWizE0NITX62VLe5RL1m6moer8ZmiefRMpfvD4KKs6IsxnjSTcQHcrVmR8NpFaQ+HG129kQ5uHVCrFunXrThrY1WqV6667jhtuuIEbbrjhbL90f4Smadx22218+9vfft6f+4XgRRncz4bvfe977N69m0cfffSFPpWzjiAItLS0cMstt/DBD35wcSb9tttuI5vNYjKZuPDCC/nrv/7rUy7dRVEkGAwSDAbRdZ1sNksikWB4eBi32826aJSLVq7hr964lt3HY/zq4BT37xolV65jEWEqmeejb3k1G9u9JJPJUwZ2rVbjbW97G1dffTU33njjmX5pgFNXborFIocOHeLCCy8EIBaLcfnll3P//fe/GJbmZ5wX5Z77dPdOv/zlL7nlllt49NFHX3KztmcSRVG49tpr0TQNWZaJx+NcfPHFXHXVVads9/xDTvS7JxIJ0uk0TqeTaDRKKBRCEAR2jcb51YFJOgN2zl8eJJFIsG7dupMOz8iyzJ//+Z/zhje8gVtuueWsdSaeTuXmyVx44YVLe+7nm9PRid63bx833XQTDz300Cs6sMFY7l5xxRW8/e1vByCXy3H//ffzuc99jsnJSV7/+tdz5ZVXnnI/DMbqwOfz4fP50HWdYrFIIpFgfHwcm81GRzTKRy7fSCKRIB6PnzKwG40GN954IxdeeOFZDWx4ar/4icrNiX7xE5WbVxIvyjs3nLq89rrXvY6DBw/S3NwMGKLwJxr+n4mXaA30OVEsFnnggQcWDehPzKRv3LjxlIH+h5RKJRKJBHNzcyiKwrJly4hGo89ouKcoCu9+97sZHBzkk5/85MtuluAM8sophZ0NXsI10DNGpVLhZz/7Gffeey+HDh1anEnfsmXLKWfSTzA/P8/c3Bx9fX2k02kSicRThClODISoqsr73/9+ent7uf3225cC++QsBfdz4SVcAz0rPHkmfe/evYsz6du2bXvGfvcTgb1+/fqnfBickH1OJBJks1l+//vfMz09TWdnJ5///OeXAvvUvDjnuV8qPF15bXZ29inHPLkG+nLnyTPpe/bs4aqrruLee+9l27Zt3HLLLTz88MNPmUmPxWLMzs4+7R7bZrPR0dHBpk2bWLduHceOHePxxx/n0Ucf5d///d+f739tiQVelAm1F4JXWg30yVgsFi655BIuueSSp8ykf/KTn2TDhg1Eo1GKxSJf/OIXTzrFpmkaX/7yl2lvb+fHP/4xuVyOiYmJ53x+r7RW5DOGrusn+3rZ8Pvf/15/wxvesPjz5z//ef3zn//84s+5XE4PBoN6Z2en3tnZqVutVr25uVnftWvXC3G6LwoURdH/9m//Vm9ra9PXr1+vX3fddfqdd96pJ5NJvVwuP+WrWCzqt956q/7e975XV1X1jJ5DT0+PPjo6qtfrdX3t2rX64cOHn3LMr371K71cLuu6ruv/+q//ql9zzTVn7PmfJ04Vh3/S1ysmuBuNht7d3a2PjY0tXiSHDh16xuMvuOCCV3Rg67rxmt144416LpfTVVXVH3vsMf22227T165dq7/lLW/Rv/vd7+rxeFwvlUr6xz/+cf0d73iHrijKGT2HU30o/yF79+7Vt23bdkbP4XngrAT3K2bPfTqaWX8KL2dLGpPJxL/927/h9XoXZ9L/4R/+gX379vHJT36SQ4cOcfHFF3POOecwNDTEHXfccdpZ99PldHIlT+bl3Ir8rDlF9C9xEk5nyTg8PKyvX79ez2Qyuq7rejwefyFO9ayhqqp+33336cVi8aw8/t13362/+93vXvz5O9/5jv6BD3zgaY/97ne/q2/ZskWv1Wpn5VzOIkt37hcbrwRLmlMhiiKXX345LpfrrDz+6Sj9gNGK/Hd/93fcf//9Tyu++EpkKbifA6ezZBweHmZ4eJhzzz2XrVu38tBDDz3fp/mS5smtyLIsc9ddd/1RG+mJVuT777//Zffh+VxYKoWdZV7qljQvNKfTL/7Rj36UUqnE1VdfDZxeK/IrgaXgfg68EixpXgxs376d7du3P+V3n/3sZxe//+Uvf/l8n9JLgqVl+XPgdJaMV155JY888ggAqVSK4eHhM+pWucQSz8RScD8HzqYlzalKbFNTU1x00UUMDg6ydu1aHnzwwTP+/y3x0uYVMzjyUuJ0Jtje9773MTg4yM0338yRI0fYvn37GWn1XOIFYWlw5JXC6ZTYBEGgUCgAhkxwS0vLC3GqS7yIWQruFyGnU2K7/fbb+d73vkdbWxvbt2/nn//5n5/v0/yTOdWWo16vc+2119Lb28uWLVuWViR/IkvB/RLlzjvv5J3vfCczMzM8+OCD3HDDDWia9kKf1il5JVo+v1AsBfeLkNMpsd1xxx1cc801ALzqVa+iVquRSqWe1/P8UzidLcd9993HO97xDgDe+ta38vDDD3OK3NAST8NScL8IOZ0SW0dHBw8//DAAR48epVarEQ6HX4jTfVaczpbjmSyfl3h2LAX3i5DTKbH9wz/8A9/85jdZt24df/Znf8a3v/3tJTmjJZ7CqUphS7yMEATh34BLgYSu66uf5u8C8FVgO1AB3qnr+t4zfA6vAm7Xdf3ihZ8/CaDr+heedMzPF455TBAEExADwvrSxfqsWLpzv7L4NnDJSf7+RmD5wtf7gK+fhXPYBSwXBKFbEAQLcB3wh43g9wPvWPj+rcCvlgL72bMU3K8gdF3/NZA5ySFXAN9ZmDF+HPAJgtB8hs9BAT4I/Bw4CvxQ1/XDgiB8VhCEE4mFO4CgIAjHgduApxeYX+KkLA2OLPFkWoHpJ/08s/C7+TP5JLquPwg8+Ae/+8yTvq8BV5/J53wlsnTnXmKJlylLwb3Ek5kF2p/0c9vC75Z4CbIU3Es8mfuBtwsGW4G8rutndEm+xPPH0p77FYQgCHcCFwIhQRBmgP8FmAF0Xf8Gxj54O3AcoxR2doy0l3heWKpzL7HEy5SlZfkSS7xMWQruJZZ4mbIU3Ess8TJlKbiXWOJlylJwL7HEy5Sl4F5iiZcpS8G9xBIvU5aCe4klXqb8fxhid8jiDAf7AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def assemblage(coords, elems3):\n",
" Ns = len(coords)\n",
" A = np.zeros((Ns, Ns))\n",
" for triangle in elems3:\n",
" M = raideur(coords[triangle])\n",
" for i, a in enumerate(triangle):\n",
" for j, b in enumerate(triangle):\n",
" A[a, b] += M[i, j]\n",
" return A\n",
"\n",
"\n",
"def second_membre(coords, elem3, f):\n",
" Ns = len(coords)\n",
" b = np.zeros(Ns)\n",
" for triangle in elem3:\n",
" coords_triangle = coords[triangle]\n",
" centre = np.mean(coords_triangle, 0)\n",
"\n",
" # calcul de alpha\n",
" x = coords_triangle[:, 0]\n",
" y = coords_triangle[:, 1]\n",
" mat_alpha = np.array([[x[1] - x[0], x[2] - x[0]], [y[1] - y[0], y[2] - y[0]]])\n",
" alpha = np.linalg.det(mat_alpha)\n",
"\n",
" b[triangle] += alpha / 6 * f(centre[0], centre[1])\n",
"\n",
" return b\n",
"\n",
"\n",
"def calcul_Ud(coords, dirichlet):\n",
" Ns = len(coords)\n",
" U = np.zeros(Ns)\n",
" # for d in dirichlet:\n",
" # x, y = coords[d].flatten()\n",
" # U[d] = u_d(x, y)\n",
" U[dirichlet.T] = u_d(coords[dirichlet, 0], coords[dirichlet, 1])\n",
"\n",
" return U\n",
"\n",
"\n",
"def tildage(A, b, coords, dirichlet):\n",
" A_tild = np.delete(A, dirichlet, 0)\n",
" A_tild = np.delete(A_tild, dirichlet, 1)\n",
" b_tild = np.delete(b, dirichlet, 0)\n",
" coords_tild = np.delete(coords, dirichlet, 0)\n",
"\n",
" return A_tild, b_tild, coords_tild\n",
"\n",
"\n",
"def untildage(x, dirichlet, U_d):\n",
" x_untild = np.zeros(U_d.shape[0])\n",
" not_dirichlet = np.setdiff1d(range(U_d.shape[0]), dirichlet)\n",
"\n",
" # print(x_untild)\n",
" # print(not_dirichlet)\n",
" # print(dirichlet)\n",
" # print(x)\n",
"\n",
" x_untild[dirichlet] = U_d[dirichlet]\n",
" x_untild[not_dirichlet] = x\n",
"\n",
" return x_untild\n",
"\n",
"n = 50\n",
"coords, elems3, dirichlet, neumann = maillage_carre(n)\n",
"\n",
"A = assemblage(coords, elems3)\n",
"b = second_membre(coords, elems3, f)\n",
"U_d = calcul_Ud(coords, dirichlet)\n",
"b -= np.dot(A, U_d)\n",
"\n",
"A_tild, b_tild, coords_tild = tildage(A, b, coords, dirichlet)\n",
"\n",
"x = np.linalg.solve(A_tild, b_tild)\n",
"x_untild = untildage(x, dirichlet, U_d)\n",
"\n",
"# show(coords_tild, x)\n",
"# print(coords.shape, x_untild.shape)\n",
"# print(coords, x_untild)\n",
"show(coords, x_untild)\n",
"show(coords, u_ex(coords[:, 0], coords[:, 1]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Partie II : maillage mixte et ajoût des conditions de Neumann**\n"
]
},
{
"cell_type": "code",
"execution_count": 154,
"metadata": {},
"outputs": [],
"source": [
"e3 = np.array(\n",
" [[1, 2, 12], [2, 3, 12], [3, 4, 14], [4, 5, 14], [2, 15, 3], [3, 15, 4]]\n",
").astype(int)\n",
"\n",
"e4 = np.array(\n",
" [\n",
" [0, 1, 12, 11],\n",
" [11, 12, 13, 10],\n",
" [12, 3, 14, 13],\n",
" [10, 13, 8, 9],\n",
" [13, 14, 7, 8],\n",
" [14, 5, 6, 7],\n",
" ]\n",
").astype(int)\n",
"\n",
"dds = np.array([2, 15, 4, 6, 7, 8, 9, 10, 11, 0]).astype(int)\n",
"\n",
"nns = np.array([[4, 5], [5, 6], [0, 1], [1, 2]]).astype(int)\n",
"\n",
"ccs = np.array(\n",
" [\n",
" [0.0, 0.0],\n",
" [1 / 3, 0],\n",
" [0.53333333333333, 0.0],\n",
" [2 / 3, 1 / 3],\n",
" [1.0, 0.47],\n",
" [1, 2 / 3],\n",
" [1.0, 1.0],\n",
" [2 / 3, 1.0],\n",
" [1 / 3, 1.0],\n",
" [0.0, 1.0],\n",
" [0.0, 2 / 3],\n",
" [0.0, 1 / 3],\n",
" [1 / 3, 1 / 3],\n",
" [1 / 3, 2 / 3],\n",
" [2 / 3, 2 / 3],\n",
" [1.0, 0.0],\n",
" ]\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 155,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.66666667, -0.16666667, -0.33333333, -0.16666667],\n",
" [-0.16666667, 0.66666667, -0.16666667, -0.33333333],\n",
" [-0.33333333, -0.16666667, 0.66666667, -0.16666667],\n",
" [-0.16666667, -0.33333333, -0.16666667, 0.66666667]])"
]
},
"execution_count": 155,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def raideur_quadrangle(quadrangle):\n",
" x = quadrangle[:, 0]\n",
" y = quadrangle[:, 1]\n",
"\n",
" # calcul de la jacobienne\n",
" J_kk = np.array([[x[1] - x[0], x[3] - x[0]], [y[1] - y[0], y[3] - y[0]]])\n",
"\n",
" det_J_kk = np.linalg.det(J_kk)\n",
"\n",
" # on récupère les coefficients\n",
" coeffs = np.linalg.inv(np.matmul(J_kk.T, J_kk))\n",
" a = coeffs[0, 0]\n",
" b = coeffs[0, 1]\n",
" c = coeffs[1, 1]\n",
"\n",
" # on calcul M (on a calculé toutes les intégrales au préalable)\n",
" M = np.array(\n",
" [\n",
" [2 * a + 3 * b + 2 * c, -2 * a + c, -a - 3 * b - c, a - 2 * c],\n",
" [-2 * a + c, 2 * a - 3 * b + 2 * c, a - 2 * c, -a + 3 * b - c],\n",
" [-a - 3 * b - c, a - 2 * c, 2 * a + 3 * b + 2 * c, -2 * a + c],\n",
" [a - 2 * c, -a + 3 * b - c, -2 * a + c, 2 * a - 3 * b + 2 * c],\n",
" ]\n",
" )\n",
"\n",
" return det_J_kk / 6 * M\n",
"\n",
"raideur_quadrangle(ccs[e4[0]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Compléments d'analyse du système**\n"
]
},
{
"cell_type": "code",
"execution_count": 156,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[-0.19625549 1.80841983 -1.29709571 3.27946985 -1.31278846 1.81960843\n",
" -0.19625549 -0.58876648 -0.25543315 -0.19625549 -0.25543315 -0.58876648\n",
" 2.4657089 2.90036722 2.46946706 -0.14351276]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def assemblage_quadrangle(coords, elems4):\n",
" Ns = len(coords)\n",
" A = np.zeros((Ns, Ns))\n",
" for quadrangle in elems4:\n",
" M = raideur_quadrangle(coords[quadrangle])\n",
" for i, a in enumerate(quadrangle):\n",
" for j, b in enumerate(quadrangle):\n",
" A[a, b] += M[i, j]\n",
" return A\n",
"\n",
"def second_membre_quadrangle(coords, elem4, f):\n",
" Ns = len(coords)\n",
" b = np.zeros(Ns)\n",
" for quadrangle in elem4:\n",
" coords_triangle = coords[quadrangle]\n",
" centre = np.mean(coords_triangle, 0)\n",
"\n",
" # calcul de alpha\n",
" x = coords_triangle[:, 0]\n",
" y = coords_triangle[:, 1]\n",
" mat_alpha = np.array([[x[1] - x[0], x[2] - x[0]], [y[1] - y[0], y[2] - y[0]]])\n",
" alpha = np.linalg.det(mat_alpha)\n",
"\n",
" b[quadrangle] += alpha / 4 * f(centre[0], centre[1])\n",
"\n",
" return b\n",
"\n",
"def condition_neumann(ccs, nns):\n",
" Ns = len(ccs)\n",
" coeffs = np.zeros(Ns)\n",
" for i, j in nns:\n",
" point1 = ccs[i]\n",
" point2 = ccs[j]\n",
" \n",
" valeur = np.linalg.norm(point1 - point2) / 2 * g((point1 + point2) / 2)\n",
" coeffs[i] += valeur\n",
" coeffs[j] += valeur\n",
"\n",
" return coeffs\n",
"\n",
"#------------------------------------------------------------------------------------------------------------------------\n",
"\n",
"A3 = assemblage(ccs, e3)\n",
"A4 = assemblage_quadrangle(ccs, e4)\n",
"\n",
"b3 = second_membre(ccs, e3, f)\n",
"b4 = second_membre_quadrangle(ccs, e4, f)\n",
"\n",
"A = A3 + A4\n",
"b = b3 + b4\n",
"\n",
"# print(A)\n",
"\n",
"U_d = calcul_Ud(ccs, dds)\n",
"b -= np.dot(A, U_d)\n",
"b += condition_neumann(ccs, nns)\n",
"print(b)\n",
"\n",
"# print(b3)\n",
"# print(b4)\n",
"\n",
"# A_tild, b_tild, ccs_tild = tildage_quadrangle(A, b, ccs, dds, nns)\n",
"A_tild, b_tild, ccs_tild = tildage(A, b, ccs, dds)\n",
"\n",
"x = np.linalg.solve(A_tild, b_tild)\n",
"# print(x)\n",
"x_untild = untildage(x, dds, U_d)\n",
"\n",
"# print(A)\n",
"# print(b)\n",
"# print(U_d)\n",
"show(ccs, x_untild)\n",
"# show(ccs, u_ex(ccs[:, 0], ccs[:, 1]))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}