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@mundya
Last active August 29, 2015 14:06
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{
"metadata": {
"name": "",
"signature": "sha256:1620f5f84695dbfc29d7b1e41f484f36c126318e9f9c8e38679b815a3b495479"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"import seaborn as sns\n",
"import scipy\n",
"import scipy.optimize\n",
"\n",
"np.random.seed(25092014)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/usr/lib/python2.7/site-packages/pandas/io/excel.py:626: UserWarning: Installed openpyxl is not supported at this time. Use >=1.6.1 and <2.0.0.\n",
" .format(openpyxl_compat.start_ver, openpyxl_compat.stop_ver))\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k = 7 # Number of \"dimensions\"\n",
"n = 100 # Number of neurons\n",
"p = 0.2 # Probability of connection\n",
"w = 1. # Desired weight of connection"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Desired connectivity"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def create_fixed_probability_connector(n_in, n_out, probability, weight):\n",
" connector = np.zeros((n_in, n_out))\n",
" connector[np.random.uniform(size=(n_in, n_out)) < probability] = weight\n",
" return connector"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"desired_wm = create_fixed_probability_connector(n, n, p, w)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## With Optimisation for both $\\mathbf{E}$ and $\\mathbf{D}$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def generate_matrix_matching_ed(W, k, m, n):\n",
" def f(x):\n",
" # Extract E and D from x\n",
" E = x[:m*k].reshape(k, m)\n",
" D = x[m*k:].reshape(n, k)\n",
" W2 = D.dot(E)\n",
" return np.sqrt(np.mean((W - W2)**2))\n",
" return f"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fined = scipy.optimize.minimize(\n",
" generate_matrix_matching_ed(desired_wm, k, n, n),\n",
" np.abs(np.random.normal(size=(n+n)*k)),\n",
" bounds=[(0., None)] * (n+n)*k,\n",
" tol=0.0000001\n",
")\n",
"print \"Final error:\", fined['fun']"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Final error: 0.370386421052\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"E = fined['x'][:n*k].reshape(k, n)\n",
"D = fined['x'][n*k:].reshape(n, k)\n",
"W2 = D.dot(E)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def plot_connectivity(desired_wm, achieved_wm):\n",
" fig, ax = plt.subplots(1, 1)\n",
" ax.hist(desired_wm.reshape(desired_wm.size), 50, label='Full')\n",
" ax.hist(achieved_wm.reshape(achieved_wm.size), 50, label='Factored')\n",
" ax.set_title('Pattern of connectivity')\n",
" ax.set_ylabel('Number of synapses')\n",
" ax.set_xlabel('Weight')\n",
"plot_connectivity(desired_wm, W2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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"text": [
"<matplotlib.figure.Figure at 0x7feab8a2f8d0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def plot_weight_matrices(desired_wm, achieved_wm):\n",
" error = desired_wm - achieved_wm\n",
" fig, axs = plt.subplots(1, 3)\n",
" axs[0].matshow(desired_wm, vmin=0., vmax=1.)\n",
" axs[1].matshow(achieved_wm, vmin=0., vmax=1.)\n",
" axs[2].matshow(error**2, vmin=0., vmax=1.)\n",
" axs[0].set_title(\"Desired weight matrix\")\n",
" axs[1].set_title(\"Achieved weight matrix\")\n",
" axs[2].set_title(\"Squared Error (RMS=%.3f)\" % np.sqrt(np.mean(error**2)))\n",
" [(axs[x].set_xticks([]), axs[x].set_yticks([])) for x in [0, 1, 2]]\n",
"plot_weight_matrices(desired_wm, W2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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7d6e6ulpMLHvvvbej/XA4zMSJE0U1bObBmBkKCwtpbm4WZjUlJYW1a9eyaNEi\nAI499lhSUlJkjxjG0BA3Q+iM+vzKK6/E7XaLTfWcc86huLjYobo1YU3m9ytXrnQw4Onp6WKWmDNn\nDkOHDpU5N30xzExZWRkul0vWcmNjI0VFRf8d5yXzXeLen3y/K2yBO/P7rnjCbkuK3tX2zM44G3WV\nYO+MTbcLv9kjhNXv98ftXr7hcFgO90AgII4viT7R0tIiHrm//OUv8Xq9VFVViUOTsVktWLAA0Add\nenq62GeKi4upra0VJ560tDQqKirkYGlpaaF///7inJSVleWwsfbr149gMCjOKqaNcDjMDz/8AGgp\n5dtvv2WfffYB9MaOx+PyG+OJbPqwefNmqqqqhABlZWURDAalz4FAAJ/PJ7GqPp+PYDAoMar19fV0\n69aN0tJSNm/eDGipdu+99xZ7ZmNjI4sXLxbbWEZGBkuWLBGJddCgQWRnZ7Nq1SoAhg4dypYtW+Tw\nMdKl3evYzAnow87v95Oenk7Pnj0BbdcuKiqScbtcLhobGx2OO+FwWOy2OTk55OTk7BGvYPvyPuCA\nA1i4cCGw1c5vvHBnzpxJLBYTaezRRx/lb3/7GzNnzgR0rK59f9XX14sTF2jpz+fzyaGempqKy+Xi\nD3/4AwBPPvkksVjMYYO1980e05roOxMmTBD7ejweF6kWtM01MzNTmNHFixdz+umn8+qrrwLaa/7W\nW28lEonw7LPPAjputD3m3nwXCoVkX4Fe73aJNhwOEwgEePLJJwHtJWz6CjpOdMKECUJoP/nkEw47\n7DDZ52632+EgZmzQhnF87733HP2zS5+w1UvbzPk555wjY7Pf01ZwM/3zeDx4PJ6kjTWJJJJIIokk\nfg7YaRtrW0nP9ttt3r+te7b1jB25vjNtdnRPe6rVrvZhe/3rqvp5R1TNXZnTPSWxLly4MN6rVy9A\nc5XFxcXCCTc3N9PS0iLcuJFe//3vfwNaLdva2srcuXOFQ/d4PHzzzTfCve67775kZGSIau6VV14h\nHo9z1llnAbBkyRK8Xq9IUQUFBVRXV8vve/XqRU1NjaiCL730UlJTU0UtO2/ePAYPHozP55P+de/e\nXWL/QHP49ut5eXmUl5eLVPz0009zwQUXSAiHy+Vi7ty5jBo1CtBSTiQScWS6CYfDPP744wBcfvnl\npKamkpmZyddffw1ou1YgEOCcc84BtkoPRjoErRY33s/GK9mos5cuXUpNTQ0nnHACoKXsDRs2iHf1\nyJEjaW6gCtESAAAgAElEQVRullCZgoICmROjbl6yZAkul0tUcoWFheJlC/Cvf/2Lww47TN5NaWkp\n++23325fdy0tLXF7OIp5T+Zza2urxOsuWLCASy+9VLITGS2DyZqVn5+Py+WSrEDRaJRRo0aJdOb1\nekX1DdCnTx+HKveuu+7ipptuEjWry+WS9w2wceNGCVMxaGxslLhYY9+1exOfdtppkv3KfGcPz/nb\n3/7GxRdf7LCXA/LuTz/9dGbNmiXnwcSJE3nmmWdkDc2fP5+DDz5Y2jSaCHu2M6N9sffB4LvvvmPw\n4MFipjB2ZmN+6du3L3369JE5DAaDvPfee5xyyinSViAQcGS3AkTD8+CDDxKPxyXO1aj6zX3Lli3j\njTfe4KabbpL2MzIydo8qmK77L3XKMWl792xLvdze99tq33zeGTvvrkZX1b7/jdCaDvqxRwhrS0tL\n3B4MX1FR4VBfZmVlyfurrq6We0AH89fW1pKZmSkEIy8vj7S0NFGbut1uGhsbMcTb5/Phcrlk0/bo\n0YMNGzYI0TLB+qYP1dXVZGdny/VQKERhYaHYTw1BA8QmGo/H8fv9cgj7fD6amprk8DROWCZBRE1N\nDbW1tWLvzMrKcqjBg8EgPXr0EDWvUc2Zw2vlypUMGjSIyspKsQH6fD4yMzPl8DJJBAzx9vl8tLS0\niK2wW7duFBcXiyq4d+/eBAIB6VN1dTV+v1/msbW11eH0ZQ7OlJQUIZTBYJBYLCYqPq/Xy5o1ayT9\nZFpaGh6PR+YlGAwyYMCA3b7uRowYETeE0MSImjVmD4UBbd9zu9288847AJx00kk88MADTJ48Wcad\nkpIiv3/iiSf4/e9/LzHNxx9/vMN+eemllzJz5kwZcywW4/nnnxfV7uuvvy42RdO+PUWiScZg1u+Y\nMWOYNWuWOCv9+c9/5pxzzqG0tBSAb775xnGePPHEE1xyySVEo1GHetoenhKLxRzPDIVCjjbS09MJ\nBAJCyEzYm0nSctNNN+HxePjFL34BaNWveYZp337/Lbfcgt/vl/aMatycC7FYzOGMZObOfs67XC4H\noY3H4w7CHwwGHYlI7L9vbW3dvc5LnZVItydhtfebHcW2HHs689u2Y2nbxp4mrLuiPeha7t8dvL5H\nCGs0Go0bTjcvL4/Kykrxrh08eLAkYAB4//33GT9+vGwgj8fDxo0b6devn9iQzHX7IbF27VqxR27e\nvJm99tpLiHNxcTEbN25EKQVszeNrpK6FCxdSUFAgBOX555/nzDPPFCkkNzeX1NRUR4KHJ598kt/9\n7neOuM6WlhZHzGhLS4sE9RuO3YzLHPYmtrJHjx7stddectiaWEVD0GfPns0xxxwjB5B5XktLixxW\n3bp1kwMJ9GGSlZUlhLipqckRc1pXV0c8HhfivXnzZrZs2SLxwa2trQSDQUdmp1AoRLdu3eTgMsk0\njNd3PB5n3rx54v2clpbmkBhra2spKSnZ7esuHo/HzzvvPEBn87rsssvEuWfYsGEOIvDtt98yevRo\nh7NQKBSSeZ4/fz4jR478yXlpGLGMjAzJzQtbCbd5F01NTfh8Pnn3PXv25L777mP16tWATpawdu1a\nkVqDwSApKSnSP/O/Wb+DBg2StQs6z+8LL7wg++Hee+8V6bsjDVxZWRndunWTfWccpOzrs6KiQpg0\nc4/xtH/nnXdwu90/IWB2L11jy7Y/3+6NnZaWJrmGR40axe9+9zu51tra6mCA4vE4Z599tjhbmf1j\nt+W/9dZbTJgwwTFndmYqJSUlaWNNIokkkkgiiZ8DuiSxOn64DRVu2/t3RsLcFnZlu53xbt7W9a62\n295927OpdsU+3Z76u6O+daa9xP17LI7VhKGMHTuWZ555hgsuuADQaq97771XpMuioiIWLlzI/vvv\nD2gO95133uHXv/61w37Sv39/4YZ79epFQ0ODSG6gx29Ue6eccgoVFRXi/drQ0EB9fb247k+ZMoWp\nU6dKH7KysvD5fGL3ra+vp7CwkGg0Kn1YvHgxffr0kc/FxcXMmTNH1NXr1q3jqKOOonv37oD2ns3N\nzRWVaX5+PmVlZZIZp7S0lD59+oiUU15eTigUEonB7/dLCJDhxlNSUrjiiit47LHHACTcx26PGj58\nuHhPf/nll5x88sm8/fbbMq7JkyeL1BKNRlmwYIF4Ojc0NNDU1CRexq+88gp/+MMf+Oabb2TuCgoK\nePbZZyUGtKSkhIaGBomVTUtL44gjjhCp95VXXmHy5Ml7JI7V2KIPP/xwVq1aJRqNpqYmsrKyRHpK\nSUnhtdde45FHHgG0WnPDhg0y7gsuuIAzzzyTL774AtBetz6fzyGN2fdkaWkp/fr1k3dp7jXPS0tL\no7m5WTxrR4wYwaRJk+S9ejweh3bDtGvyVJt0gcZuWllZyfr160ViHjRoEKmpqbz44ouSYenqq6/m\nwQcflD55vV6efPJJ2YfGo92MKS0tjUceeUS0NtOnT5dxgs6sZFTlAC+99BInnHCCjCEzM5Pm5max\n1/fu3ZvS0lJZa3Y/C9BrMTs7W+bo+eef57zzzpP8zoMHDxaTkJnT9evXi5fy7bffTiwWk/Air9dL\nQUGBaGd+/PFH9tlnn59PHGtH9yXa60rfOnKg2WnC3NkwnLbPbnvNXN+WW3pnHJC6EhbU1Wsd9b2z\n7+2/4bxUXl4eN0Rv7dq1DBgwQOxNp556Ks3NzWK73LBhA0cffbQjQXlDQwNer5dPPvkEgJNPPplP\nP/2U4cOHA1vTm5nDvKGhgZNOOkk24SeffML+++8vKlGTaMHYP1NSUlBKOcIncnNzZW6rqqooLi6W\nfL7mu379+gnx9Xg8ZGRkiM00JyeHlpYWcTSKRqMcddRRstE3bNjAhg0bJJxlwoQJfPrppxLvmZKS\ngs/nk3y2l112GdnZ2WRmZsrhWFVVxYoVKyS+csmSJRx55JHSx3g8Tk5OjjAc8Xic0tJSOdDWrVvH\nZ599Jiq4tLQ0tmzZIokx/H4/Bx54oLyL4uJiAoEAbrdbChoce+yx+P1+aXPVqlX06NFDGIJNmzbR\no0cPh4oxPT19t6+7SCQipQpNmIexX/fp04czzzyTp556CtCEtqioyLF/7aEb8+bN45BDDhHHn5yc\nHMc+qqmpIRAICCF2uVx88sknUmBh5syZeDweRzpBl8slqmRDsOwpEO0hOEZNa0Karr/+emECzHW7\n81I8Hmf27Nnsv//+DhV9KBSS9VhYWMjQoUOF6Xr55ZdpamoSJq2urk6SSsBW1a5ZC1988QVHHHGE\n7Mnx48cTi8VkXjwej+Mcvfrqq5k+fbrY+1euXMmIESOkVN8999wjBR1AM57xeFzWjYnbNSakgw8+\n2OEs1dLSQmpqqsxZKBTi5JNPlnMmMcd7Lo61zXXHtR0hVl3xJN6WQ1RnsSN2xm05G23v/t1pr+3q\nvHR1rtv5fo8Q1lgsFjfJGnJzc1mwYAE//vgjoDnPk046SQ7zTz/9lFNPPVW47/T0dGbPns348eNF\nAt13330pKCiQg7KoqMiRQzc9PZ0BAwZIrdN99tmHTZs2CcExWW6Mneqpp57iyCOPFCee1157TTLL\nwFYiZ2JZQWeGueWWW+QgMLZgw+F7vV4yMzMl3jMnJ8cRi2gyGD366KOAzu7j8XjEU3X+/Pnk5uaK\nvfONN97gqKOOEuIKmoFYvHix2Eibm5vp2bOnHH6NjY0UFxfLuDdv3kxOTo4c4Bs2bMDj8Yi3dWNj\nI2vXrpXP7733HkcccYS8m6amJnr16sWmTZskJnTSpEmOeN7169c7HHOKi4sdydyXLVvG2LFj94iN\n1RCulJQU5s6dK+83Go3Sr18/kc42bNjAoEGDZK+43W6qqqqEKJWXl/PII4/IenrppZfw+Xzcf//9\ngF5PEydOdNi+jd0VdOakY489VuIuL7roIlauXCmOb6mpqaxfv15s/C6Xy+S2lf7Ebd7cJpuRQSgU\nwu/3C9EcN24cqampeL1eLrroIgAee+wxYrGYVLN56KGHqKiokNy9ubm51NXVSVWaP/7xjyxevFgS\ntRhCaS9skZmZKXPo8/kcNlWTlcleo9btdgtz63K5OPXUU8UB7P3332fChAmyp806Nu2lpqbywgsv\nCOM5ZMgQ6QNou3Q8HpeqWRdddJFDIn7jjTc47bTTdnjdebd/CzIw+Klxuy2x7Srx7AzR2ZVEanu/\nb+/6tqTW7amOO8LOSs1tv29vvtvOW2fU2HvSiasj2At0b968mX333VdUoOnp6Xg8HvEiNSW9TDL6\nvn37SnFtczAGAgH8fr9s2lAoREZGhhzm4XCY1157TdKnmcw6huPPysoiJSVF1FSjR4/G6/WKunLA\ngAHk5eVJe42NjdTW1jqeYYiZXQru3r27zK/xMjYcf0NDg6MYtkkAYd5tYWGh4yAoLi7G4/FIn/be\ne2/q6+spKCiQ8BdTPceMw+v10tjYKAkhPB4PFRUVkmLQOF+Z6w0NDeTm5goByMjIIBKJyJhMmIn5\n7PV6pQqQOXDXr1/PsmXL5P15PB7y8/PlmVu2bCEnJ0c8l9sWa99dsCf3eP7551mzZo1UInrzzTfp\n378/U6ZMAeCEE05gr7324h//+AcAl1xyiSTwAHj33XfJy8sT57lQKERra6vDa7i1tVWYKlM43bzP\nI444gqeffhrjTBWJRCgpKZF3H4vFyM3NdTjiGK9akATyog0xYU92k0BGRoZkIjPSdjQaFcnWSHxG\nqs7NzcWyLMfZ8vTTT3PppZcCcN5553H44YcLY2ecsQxhXbp0qaR6NM+0S6mRSISZM2dK9RnQa8O8\nl7S0ND766CO5NmbMGFpbW8VBa9q0adx3332iVZg0aRInn3yy3B8OhyktLRWHL+MxbOY4FApx5513\ncvPNNwNIatEdRdJ5KYkkkkgiiSR2IXZpSsPtOcnsCVVvR8/rSOLu6Jk7Y4vs6vXOYAccjbrkaNWR\nk1abedojquCKigopG7d48WJSU1PF7mdKir344osAnHjiiTQ2NooarqamRoK/jdSTlZVFNBoVZ46V\nK1dSXFwstR5LS0vFWQi0hFtcXOwo8mxZlth7jIrXOFa0traydOlSeV5JSQmhUIhNmzbx7rvvApqj\nf/TRR6XMVkFBgdjmQIe+mCLtoCXSLVu2OByLunXrxoYNGwAtqS9ZskQKAwwdOpS6ujpRDRv76NKl\nS0XiPPjgg6WcF8Bzzz1Hc3OzxBZ2795dNACg7WZut5uPP/4Y0MWnKyoqHEH6aWlpor5+9dVX6du3\nL6NHjwa0+s/r9eL3+6UO5wknnEBmZqZIU6tWraKkpERigEePHk04HHaEimRnZ+/2dReNRiVXcHNz\nMzNnzhRpzJQTM+EuAwYM4P777+fKK68EcMS8gk6f969//UveXWtrK01NTbKGjQrYlEy78847HSXW\nAEf6yrZnlHmWWY9Tp07l7rvvluuhUIjy8nKRNr/77ju++OILsU9OmjSJmTNnOjQe119/PXfddZcj\nHjSR1s/RH5NkYsyYMeTl5cn9RgNxzTXXAJLEXvaU0ZiZ9xoIBBgwYIDMhRmrMUtMnjyZSy+9VPwi\nzBzbiwJ4vV5RBc+ePZuJEyc66rFOnDhRJND+/fuLk5e5/4gjjhBz0emnn048Hheb8YUXXrhTKQ07\n7RVsJqejA35bRHVnbaJt+tThtbZoj2juaoerHbXZdrZtg66MYUfnvBPt7jHCalS7AwcOdGQ52mef\nfRg1apQ4u9x+++1cdtllDu/C5cuXM2jQIGbMmAFo54/evXvLIWBsaCbG7quvvnIUNu/Xrx+LFi0S\n5xHLsigqKuKoo44C4IUXXmDYsGEMGzYM0JvwySeflIT6xiY7cOBA8eqdMGECr776qmxsj8dDbW2t\nIxFCdXU1hxxyCKBVV/a4vPT0dPx+v8TxjRw5kt/85jfifKGUolevXkLc7733Xv70pz+Rn58vKsrK\nykpWr14tyRr23XdfGhoahEFoaWkhJydHVJQNDQ1kZmbK4fjOO+8waNAgYUjWrl3L22+/LcnpzThM\n1Z++ffsSCoXIysoStTxom7TJ+Zqfn8+rr74qDIGxTxtG6Y033uD3v//9HiGsL7/8MgAffPABM2fO\nFGK/adMmRowYIarXqqoqUXuDVr02NzeLx+yll17KQQcd5Cgs7nK5RN1dVFREfX29wys9LS1NnJcm\nTJhARUWFZEEqLi5mzZo1knf66aefFq9a0Ovv+OOPl+IHl156KW6327He7We3Ya7smbcOO+wwli9f\n7iDebrdb7vnnP//JuHHjxLvb5XJJonvQql9Txxj0+o7H49x+++2A9rQeNWqU2DiNatoQSq/Xy7Rp\n0ygpKQHg7LPPxuv1CjNTVFTkWMsrV65k6NCh/OUvfwF0vda6ujrxSTCMinkHLpeLtWvXSv+9Xi+L\nFy8Wz28zXvOOS0tL6d+//+53XtpZz9W29yXa71IbXZXCttXGtiTW3WVb3I5j0E9sottiKjrzrM4y\nPp1te08R1jlz5sSNc4spfG044kAg4LDrZWdns2bNGnGYSU1NpV+/fnz44Yf85je/AaCiooKePXvK\nQVlfX4/X6xVb46hRo7j55pu55ZZbgK0Zg4zncVVVFcOHD5f7zaFv7ktkacHu/GKIpulnz549Wbp0\nqfy2V69eeL1eIYwej0fCdEDbaevq6hwpAZuamqRPubm5dO/enWXLlkl7TU1NjqQBxrZqJM5jjjmG\naDQqz8zIyOCFF14QW1RaWhqxWIzy8nJAO1Dl5+cLoc3OzqZXr16O0mClpaViVwuHw6xbt04OV7tN\n2NisPvnkExobG+UAHTZsGI2NjSKJ5+fnOySlJUuWcOKJJ+72dVdbWxs3kv0999zDtdde69gb8bgz\nQfvDDz8sqSE9Hg9paWkOL2K7l+6f//xn7rrrLmkvFAqRnZ0t69HMl0E4HObNN98UhsUkNjAlB035\nQ9Oe8fC1l52LxWIicd9zzz289NJLks7vtNNOkzKLoMOD/vnPf9La2upowyTrMH32er3C6JlKRm2d\nkey26k2bNglDFY/rrEfGbn3ddddRXFwsiSnuuusuXn31VZnD5cuX89BDD8nz7EwK6HPAhBGBDue5\n6KKLpD/Tp09nypQp8ruamhrC4TCzZ88GNOGOxWKyZ+0e1aC1NT169EgmiEgiiSSSSCKJnwN2Ko51\nl3RgD9kfd5cd195mV9vvqkS6o2Poqr24o3v3lMTa0NAgZeMikQjBYFDUrIceeij19fXC7ZeVldGn\nTx9RDdfW1kpSBDt3as9j+v3337N69WqxuR533HEUFhYKt56ZmUlTU5PYg1asWMExxxwjzwgGgzQ0\nNIhK9bPPPmP48OESF/uLX/xC+mDUd+FwmI8//pg//vGP8gzYapuKRCKOsnEmXMLuBdzY2OhQN/fp\n00fi7g455BB8Pp8ktVizZg2DBg3iq6++EhurZVmkp6eLOs3v9/P222+LSrt3794OlbmxkZp5HD9+\nPJWVlSKFLFy4kNbWVvH49Xq9zJ07Vzygc3NzKSsro1+/fiLt+f1+MjIyRCXu9Xp5/PHHJWFE3759\naWlpcRQB35nUcp1FLBaL2+M6jV3UjMOesMFIS0bKMWMx72rLli307dvXoYFqbm6Wer85OTn079/f\nkdDBHpri9/upqakRqd7r9f4kNMUkQQEtjdlDalwuF88995xobAKBAAUFBY60ffY8wKFQSKRT8wzz\nXNOnd999l/LyclF3L126lCFDhkgh8RkzZkgxctD70OfzOcrAHXPMMbJ2rrvuOnr16iX3m7mwJ9H4\n9ttvJVxmypQpTJ8+XTRT8Xhc9g5oLVRWVpYUqTjxxBO59dZb5bqR6u3vZOXKlVK04t577yUe3xp3\nm8j1vOfiWDtSV+5Ku2VHz2zbTgd93u5vu2LbbNtmV7E9Faxpv7257UqbXfm9/fkdzVcHz9gjhHXe\nvHlxk/h93LhxfP/99xxwwAGADp6//vrrRYXj9/upq6tzuMfPnj2b4cOHiwozEokQDoclwYOJ1TSE\n8auvvqJnz56iOi0pKRFVF2g10bx586QI+Z133sk555wj9TjT09M54IAD5BAyCfAzMzOlDZNtyKiG\ni4qKWL58uRC5srIyhg4dKkRtwYIFnHzyydJmRkYGn3/+uWRmisVi9OnTRw6kmpoa3G63OAkdfvjh\nlJSU0KNHD2EgampqOO644yR+MTc3l5qaGiFibrebYcOGsXjxYgB++OEH9t9/f/n80ksvcf3110uW\nK9AOUEYV3Lt3b5qamuQwXbBgARMmTJDMV6DX1b333iu1R4cMGUJFRYXM/YIFCzj//PNlXP/4xz+4\n9tprd/u6a2xsjBtmrVevXsyfP1+csGpraykqKmLixImAtjdGo1FHHdqKigpR6QYCAb7++mt592PH\njpU4TdAEy575y8SxPv/884Cu0ORyuSSz17Rp05gxY4ZUcNpnn30IBoNi8wed99YwJyYn74oVKwBt\nRrAn0G9ubiYWiwmRevPNN0lPT+ewww6TWG2jujWZidLT04nH4zJmY8M1R8KyZcvYuHEjxx9/PNB+\n9qjLL79cYnmvueYabr31VrELX3bZZcJQgHakq6ysdBRvMPZT0IxjQUGB1MD905/+JOFioNXx9rV4\n/fXX89e//lXmICMjg+uuu44bb7wR0Krffv36yXiWLFnCiBEj/juZlxwNdYGIbcvWuCvsuJ0h4LvK\nOWlH29+RdttKrAZtvQXb3rMrHJkSbe0RwvrDDz/EzYYwWWuMhFdbWyvJ3UEfUi0tLdLXgoICKisr\nCYVCQsT69+/PY489xtlnny1twlZPxGeeeYYzzzxT2vjmm28YMGCAeLu63W7mzp0rGYsCgQAtLS1i\np5o8ebLD0ePrr7/m0EMPxePxOGI6KyoqRLLIzMwkGo067LKtra1C9F588UUefvhhOQgCgQCPP/64\neKLG43FqamocmWdisZhw7AsXLiQ9PR232y0JH9auXcvDDz8sQfEm+4xhYnJzc8nOznbYzVpbW5k/\nfz4AixYtIjc3Vzybu3XrxqpVqyQbz5lnnklVVZWjQHd+fr4jQX1zczONjY3yDnJycgiHw2JTff75\n58VxxYw7Ly9vt687v98vXsHm2fayasYZBzTT8tlnn8lnr9fLn/70J6kmE4vFSEtLE4bkscce+0nm\no2XLlknhAdAHuz39nsvlEo9yk57TEOYVK1ZIUg7Q9utvv/3WYas1caigtSVnnHGGMF1GIrefFzU1\nNWRmZsqeMBL0okWLAO0sZ+9DPO4srWdg9zSORqPiuez1eh2JP9xut6OMopHK7X2aPXu2MJI+n4/p\n06fzzDPPmPfFhg0bmDRpEgBz5szhqquuknfQtr22Sfrt7xM0MzxkyBC5/ze/+Q1vv/120saaRBJJ\nJJFEEj8H7HEb6/bCT7qqBt0RT+SuhMB0pPLell23oz521Rt6e7bjnZm39trYHvaUKnjWrFlxw80r\npRg6dKhIPF6vl1AoJKrDPn36UFZWJpKby+WiuLiYr7/+miOPPBJASqUZtWtNTQ1ZWVkSk3feeefx\n8MMPSwxedXU13bt3F0mvoqKCQYMGiV23uLjYUW7N7XYLJw9bPXxbWlpElTZ48GC+//57sZv16tWL\ntLQ0mf/U1FT8fr/D69Hutdi7d28aGxulpuagQYOIRqOi7u7bty+NjY1iY01PT2flypWkpKQ4UtdV\nV1dL+ExtbS3z58/nl7/8pfTBnr/YeC2bZ5qMSPb4yg0bNoj6cNOmTYTDYUm1Z+pd2iXWtWvX0tDQ\nIJJ7SUkJPp9PMmcVFBSQnp4u81laWspRRx2129ddTU2NeAW3tLQ4St2ZsZr1k5aW9pN6pD6fT7zG\ne/ToQSwWE6/hZ599lkgkIlK5scEataVJx2ekqWg0SigUkrJ1//rXv/D5fJx22mkAohJue8bYa5XO\nmjWL8ePHA4i2xbwDt9vN8ccfL/Z5I0VeccUV3HPPPcDWUnJGe/Hvf/+bd955R9IsmrjWO+64A4Ab\nb7wRt9vNgw8+COgUh2vXrhUTTTgcJiUlxZG32u5h7vF4uO+++0TCnTJliqNweUpKCn/4wx/k+c89\n9xznnHOOaK6MZ74ZyzXXXMOMGTOk/ZaWFoLBIF9++SWgbbBGajbvz26DbWlpoaCg4OejCt6V6seu\nXt/Vv+vK73dG/dwVtXRn7tvVv7W1sUcIayAQkCT8hsDY6yzW19fLBjUbx1QSGTt2LG63m4aGBofz\nRywWwxSy9nq9ZGVliXPK4MGDqa+vl1qoHo9H7I6g1U59+/YVm5RJX2cIb69evQgEAg4nFpOC0ITD\njB49muXLl7PXXnsBW501zMbOzs5my5Yton6uqamhsrJS7jehMAZGnWcOZ4/HQyAQEHtnfX096enp\nlJeXyz05OTnstddeshYqKyvZuHGjzJPP52PFihWipu3fvz9paWkOYr5hwwaH3cukx4Ot9V7NGjOq\ncJ/PJw5UoVBI1MPmsz1XsNvtJhQKCRHLyckhJydnt6+71tbWDit5wdZC36Adb2bMmCGOZMb5y7z/\n1NRUx5nR0NCA2+12EM4rr7xS1MP2Yt4G1113nRA5e8J82Bp+Y9pvy+yfeOKJPP/88/IeW1paSE9P\ndzDqra2tQuhNaFA0GhVnnksuuWSbjP1NN93E1KlTZU7S0tIc/QyHw7z88ssSMmTGaFS3Y8eO5ayz\nzpL7TQ1ac5/b7ebWW29l6tSp0p59zC6Xs0JQ2zquU6ZMoaGhQdJOmvHa56w9k5o9pGq3JojY4Ya7\nIEnuiATa3v27y1N2Z7GzTMeuYFrs7ezIvXvSxrpkyZK4sTe53W6ys7PFflRaWkrPnj0ddsDKykrZ\nkOaQrqioEO9UpRQDBw78ScC8aSM9PZ2XX35ZvCwN92qcflpbWyVBA+hDoKSkRA4mI+GYz9FolPr6\nelwulxxulZWVFBYWitSbm5tLKBSSg8UUJLdnoInFYmKj7d69O+FwWOJYs7OzycvLE0ndOIoYaTQY\nDIAoVegAACAASURBVLJx40Z69+4tUm1RURHLli0Tz8zu3buzceNGydATjUZJS0sTp6xIJEJ+fr4Q\nhNWrVzNq1ChHIYG1a9fK75ubm3G5XDIPpspPVVWVEO8NGzbw1VdfSTL3QYMG4fF4xM6blpZGfn6+\nSFfvv/8+p59++h6xsdq9Zu2xtG0JmZEOzf0TJ07kueeek/VltCNtMyeZZAQrV67E5XLx/fffA7oM\nXFuiZ5yHzOdoNMqYMWMAXXDhrLPOwiS0MM+wE2Z7liGv18vkyZN56KGHpD37/ja5he373U54YWsc\nq/muLVE30p7xxJ06dSq33367JHBoamoiPT1dGEqjxbD/PhQKiXPT1Vdfzdlnn80TTzwB4HBcAr2+\n7RKqeS/20nt//etfpT+hUMjBuBptkdEITZ8+nalTpzqK2f/iF79I2liTSCKJJJJI4ueAHZZYO5Bo\ndtrLdmfVtva+dKY/nWmrqzbc/wV0NaRoT0qsK1eujJsMRH6/n549ewqnbM/sYhAIBEStm5GRQWZm\nJqtXrxaJtba21lEU2YQj2Lnl//znP5xyyinyTK/XK3l43W43GRkZjmxPdgnB5XI5PB6NR7LH4xHJ\ny6RwM/23V76BrbZjuzesx+ORPufk5BAIBERFbYqgG47bSCh2z9bq6mry8/Ol+HNeXp6EdphxVFZW\nChff2tpKKBSSuczKypLyXaClblNFxzyzvLzc4Y0ajUYdnqPG/mxsvz/++CPV1dUSE2yqthhJPhwO\nk56eLh6yK1euZOTIkbt93QUCgbjxZo7FYo7KMf369ZPMUKDt2QcccIBUr3G73aKKB8RGbMJ1vvvu\nu3ZDBL/99ltA53C27z9TbcauzbBLjwamze7duzNgwADmzp0r19rGbNrVtO3tfZfLxTHHHCN1c827\nM20YG7D57cEHH+x4nmnXLiXbbaRmDG21APY+2NevUfXai8vb+243H5jft6f5NO1NmzaNwYMHi/re\npFpsu1bNHD3xxBNceOGFO7zuOl02ri3aOsx0VX3bth3zd1eJbnvf7QpnprZtdeS81Jnx7wpmob1n\n7sgztuWEtSsZkp2BSUgP2pHIOBuB7mNBQYGEMvTv39+hAg0EAlRXV5OdnS02UTMuo8o1ySKM/eX6\n669n0KBBYov0er1069ZNYvaqq6tJS0uTjVxWVkZ+fr5cb25udhAYU9quoaFBHFqys7MJhUKiGjZ2\nXENofT4fqampMu6cnBzq6+vlsyE4pozaoEGDWLNmjRAgj8eD3+8XG2tLSwtNTU20tLTIYZGdnS2O\nSaBjRu3qQ5fL5ajPWllZKXZa0EkqGhoaHOE0fr9fiOSHH37IkCFDxHmpqqqKgoICampqJHnGQQcd\nRGNjo6yvZcuW0bNnT3FeGjJkCF6vV5y+7LbF3Qm7/S0cDjucjX788UeOPvpoIaRr1qz5iarWftCb\nOTXtXXzxxRQUFDBt2jQAYSxMYo1oNOogpG63m5tvvlkSyBsCc8YZZwA6f3IsFpP3VFFR4Qj3ikaj\nhMNh6U9rayt33HGHqEUnT57Mvffe63hePB7nww8/lL5fe+213H333bJ33nnnHU488URRtX7++edE\nIhGHOSUejzN9+nT5vd0sYPpqmNV4XIfQmfZ9Pp+DkXS73bz88suceeaZMqf28+muu+7ixhtvlD2b\nm5uLz+dzEOJIJCLEf8qUKQSDQUnY0tLSwlVXXcWvfvUrAE455RQHIbfvix3BHrGxbs/j1v65vft2\nBrvDLtlVArQjNtJd4XBlR0dtbY9haHPvHpFYP//887hxJKqrq2PIkCGyMc0hZjjYpqYmWltbJavN\noEGDyMnJ4bPPPpOE9vX19WRkZIgklpmZKfldzfXHHntMPBwrKirwer0ipXTr1s1BqHv27OmQktPT\n0ykqKpJNWVNTQyAQIDU1VfppAtyNVJOTk+MgpOnp6dTV1YmEu2nTJnJzc+Xwy8vLo6amRuylAwYM\nIDMzU5gFY18yfcjKyqK2tpZevXqJY5dxujLOR/n5+ZSXl9M/kbwhEolQVlYm4+zbty9ut1sI6Q8/\n/EBhYaFIuB6Ph5UrV8rn1NRUwuGwSJ+mXms8HhcnrLlz57Jx40bRJpgan8YRrKysjLy8PEdWq5NO\nOmm3r7v6+nqJnTbJH+x7wL5/zaFrbPC33XYbd999tzBR11xzDU8++aRD4rzhhhu4++67AU00pk6d\nKgUVCgsLhbiCZvzseXlNfme79Giqu5i+RaNRWb91dXXMmDHD4Yhjt5kaQmofj9vt5s477xTPeEMU\nTaawMWPGMHHiRAczYSRh0wePxyPORtOmTWPWrFmSOcnMqd3Gas9F/MADD3DBBReINsX0wZ4D3MT3\nwtZcxebzJZdcwpAhQ4Qh++tf/wpsdZpqaGigsbFRJPLzzz8fl8vFDTfcAGivZp/PJ2s9oclJ2liT\nSCKJJJJI4ueALkusnZU+u/pde2222+FtSHJtJUN7m7tbzdkZyW9X9aGzbW9vXnfAi3qPSKwrVqyQ\nmMJYLEZhYSFPPfUUoGNO6+vrRbJ7+eWXHZl6TIiH3++XsnEzZsxgzpw5Eq9ZW1vL+vXrRVJ77rnn\nOP/880VNu3TpUjIyMkR92aNHDyoqKsQGGw6HWbp0qaif58yZw8UXXyxZagKBAP3796dHjx4iob74\n4oscdNBBEteXkpLikIo8Hg+bNm0SKWjVqlVMmDBBJNDW1lY++ugjfvzxRwCOOuooMjMzxe7bo0cP\ncnNzufbaawE444wzHBI7QHl5OcuXL+ewww4DtOSekpIi19PT0yksLHSoMisqKkR9vGDBAjZv3szk\nyZMBHY/5+eefy7wde+yxlJaWSp8OOOAAU35LJBtTtcdeK/ftt9+WEmhKKUpKSqTNYDC4RzIvBQKB\nuF0C9Hq9kivasiyR6kCrhgcPHuzYc2eddZaUfXvvvfc46aSTmDNnDgBHHnkksVhMtAuXXXYZV155\npYTpmHhK0355eTndunUT7+zhw4c7chf7fD7Ky8slPOyll14iNzdX1JopKSmcfvrpIsH27NlTsnDB\nT7VZkUiEaDRKXV2dqPGNWc6YAbZs2cLee+8t++yNN97gtNNOk88tLS1EIhF5r6DL15lUpOPHj6dn\nz54O9bPds7ptFidTNtGYPvLz8+nRo4eYTkpLS/H7/ZJeMxgM8v7773PqqacCOGKnQZ8j9957L1dd\ndRWwdb8ZD3kjAZt+nHTSSbz11lt73sa6o6Et7alEtxUus6u0jzsZZrLdPnam/faI/Pb60va3bf/u\n6Lv2ntG2nz9XR6t+/fphr8e6bt06ITDPPvssw4YNk3Rw8+fPZ/z48ZKu7Y9//COfffYZI0aMkE27\nYsUK8vLyePTRRwFt5/vmm29ETRWJRKitrRV15ODBg3nppZfE0WHUqFHiPATw0UcfUVJSIk5BW7Zs\nIRKJyPOMDTEej4tN6ocffuDss8921OAsKyuTcebm5vL1119z+umnA7Bx40YWLlzoSF03atQoysrK\nAG3nO/TQQ4UAzZ49mwEDBkiS9CeffJJDDz3U8c6XLl1KVlaW2GVzc3MdOVj9fj8ff/yxqN8syyI/\nP99RoNvYekEfhpmZmVKMOhqNkpmZyaxZswB92FVVVVFWVibjyMjIkAQJoNdkSkqKEI3m5maqq6tF\nJWdij3c3UlNTf5IAwhyyq1atolevXpL0vaSkhEgkIoR333335fLLLxfmYdy4cfj9fkkvuWbNGgoL\nCyUe+Omnn2bjxo2OEm3p6emS27dXr16sX79eCHFrayubNm2SWOD6+np576Dn3aT+NHj55ZclAYo9\ndhn0evf7/ZJs4dhjj2XgwIEopfj000//H3vXGR5VtbXfaZmZZGaSTHoghQSEUEQIIIiCwBVBxMK1\noCJ2rKBiAcF2bXgtV0UQVC4ogr2AUq3AR+8GQkkgvffpfc7347hWzgmQBuT6I+t5fGQy5+yzz569\n99prrXe9C4B4UOjRowf3yWKxoL6+nlN2Xn31VZSWlspq9apUKtxyyy38nPnz5/P9lMImjfuqVCo+\nxFVXVyM/P5/pM6dNm8apdoCY6pWYmMjvodPpeA4BwFtvvYU77riDwX0OhwOHDh3CuHHjAIiKnPiE\nSaTPJyVPa/iRRx7B6tWr0V5paYcXmlMop22wnZYTfd/W2GJ7UMatsXqb62Nbnt/0fmrjXKOfm0p7\n+9nC8zrEYt28ebNAhPl5eXlITU3ljTYsLAxer5fzHtPT05Gfn88nTyI8OHToECtf4imV5mMqlUq2\nMJ599ll89dVXzGzj9XoRHh7OwIicnBwMGDCAFavRaITf72eFVF1dzcWuAZGZqba2Fg6Hg9tISUnB\nqlWr2IokAn3arAVBkG3mCoUCNptNpuxtNhu/d+pf5A3E05uZmQmbzcbjoFAokJOTg9raWrZyr7/+\neo4fA+IG/e2333I91qioKKSmpjIRusVigV6v53zLvn37IjY2lueRxWJBSUkJK9bKykoUFxezEiXg\nlBSYk5ubC5fLxe+dmpqK6upqjo317t0bCoWCrWSLxYLBgwef93m3evVqgQjkV6xYgSlTpvD6opgk\nKTqqEESHmJEjR+K+++7jPj/55JP4+OOPZRaiy+Xi9qxWK2JiYpg8pG/fvrIYqN/vh81mY+VJ31H/\n1q1bJwPXEIqZYrZvvPEG3G43xytLSkoQExPDByL6PYj7WopapnY/+OADTJ8+nQ8Ldrsdzz77LN59\n910AoteH+KmBxnqmtEY2btyIHj16gOoqv/XWW5gxYwZjCnbv3o3BgwfzfYQ3oO9VKhWj2gHRCr/6\n6qsZnHfxxRfjrbfeYnapJ598EiaTifs7bdo0JugHxLno9/s5xqvX67lyFiCuaSmq2efzwWg0dsZY\nO6VTOqVTOqVT/g5y1jHW5uKGrbEmm7bVFmuxvdJWN3ZLfWotAre9cjpU8blK4Tndc5r5vkMsVqvV\nKkhRvwqFAl988QUAkRKtsrKSXT5btmzBpEmT+CQaDAbh9Xqh1WrZIn3iiSdgtVrZIjh06BDy8/M5\nfnT55ZfjggsukLHK2Gw2tgZrampw2WWXISkpCYB4mi0rK0NKSgoA4LvvvsPo0aPZsuvfvz+USiV0\nOh3D+0+ePAm3282xxJCQEGg0GhlX6smTJ9niVCqVTPMGgJmfaByGDBkCo9HI7ujk5GQYDAY+4R8+\nfBiZmZk4fvw4WyqRkZGIiIhgy6q+vh7FxcUcVzOZTFxNBBAtd5fLhRMnTgAQXZ4HDx5k1qSsrCx4\nPB6OczkcDpSWlnKcLSkpCXl5eUhLS2MrODw8HBqNhi0du92Or7/+muPXcXFxsNlsbPn8xR3coZSG\n1Ddy06enp8Pn87EFNG7cOEZMA+J8mT17NqeaHD58GBdddBFbTwqFAl9//TUjoVUqFXbv3s0WLwk9\nd/v27ejatSuzVRFDEcUXdTodiouLGY0tjVkDYO8JrRGn0ymLCTdNYSIWo8svv5xr75JVS+9QUFCA\n2NhYpjwcOnQosrKycPfddwMQLUpp1SKn0ylDLpPblSxCyqeWVrcBwOxnP/30E1avXs3elI0bN2Lc\nuHEcMggEAjILleg1Ka5KzFdSC1i6fQUCARQWFrI7meYktfdX/vb/ntLwdLHJc5Hi0RZpIVWE/32u\nc0pbavtsDwytUaJN05taGvumz23lMzpEsVosFgaSLF++HOPHj8dXX30FQAR+1NXVYcuWLQBERXrT\nTTfxxm0wGBiIQBtLXFwcBEHg9Bm1Wo34+HiuX0kxLwL17N+/H/369WM3LnGYErAoJiYGlZWVrFiL\niopQXl4ucz2XlJTAZrNxCoZSqcSIESMY2KNUKmE0GhmgkpycDI/Hw2lD/fv3h91u5zjcsWPHMGDA\nADz22GMAxJqwCxYsYDBGZWUlAoEAA7IcDgfy8vKQkZEh21yCwSADQpYuXYqXX36ZFW99fT3UajV/\nFgQBJ06cYHeezWbD77//zqkzxJFM5A+33XYbPvvsM+6zXq+Hx+NBRUUFp2389NNPqK6u5nn47rvv\n4qWXXuJxSk5ORkNDg4xsIy0t7bzPu0AgwIr1xIkTSElJ4UNR//794ff7+SBWU1ODAQMG8Lhedtll\n2Lp1K7+T1OUIiOC5GTNm8Kbv9/shCIIs9cput8uK3pML/a++Qa1W87iGhIRg5syZDAwisn6K5/v9\nfuzatYvH8B//+IcsD5RqqUrzkal4uxT3YrfbOdxht9sRFhbGMf6JEydi586dfD3RC5LifeCBB07Z\nT9577z0+XIwfPx4KhUJGsqJUKpGWlgYAyM7Ohl6v53eoqKhAREQEj+FTTz2Ft99+mw8bdPiQHna8\nXi9/vuqqq7BmzRpZSpPRaOQx02q1Mvf6X6T+fx/F2hpl0Zzl1R5L7FyiX6XtkXQUyKet6GiSthxQ\n2nrAaPJbdYhilSI0a2pqEB4ezrEQKmZMgJry8nJccMEFMo5Sm82G2tpaGUCmsrISn3/+OQBxo0lK\nSuJFWVlZCYVCgREjRgAQwUg2m42fERUVBaVSycq7a9euaGhowK5duwCAT9K0MRYUFMBsNsPn83F8\ns3///jLghEIhEvWTkktLS0NhYaEMMBMeHs7WoJRUARCtz5KSElZqVFmG4mp6vR7h4eHQ6XRs1ebm\n5iIzM5Otiry8PEaW/jXu+Oijjxh0c+mll8ryK/1+P1atWoXx48cDEONSUkuqoqICaWlp/M5ms5mt\nT3qv+Ph4GAwG3sROnjyJPn36sNLIz8+HRqPhDT0QCCAxMbFDLdam9VcByMBpn3/+OW6//Xa2/MPD\nw08p6g00KjoqiEAW7QsvvAC3282Hw2uuuUYWX1QqlTLFTIqalMzmzZsxatQo2bqXEkJMmTIFixcv\nlpGqNBUpavbJJ5+Ey+XCxIkTcdlllwEQsQxNSRJUKpWMb9vr9cpyZYmBip7p8Xj4MGo2m09hp+re\nvTsDwP7880+kpKSwx6UpsDUrKwtvvvkmF4OncaNKPzqdTsb05Pf7EQwGmQRm9+7d+PLLL7k9t9st\nK1TvdruhUCgwbdo0ACL4T6PRdMZYO6VTOqVTOqVT/g5yVoq1tdaPQqE45dqW3LXN3d9UmrZ3uue1\n9IzTtXemfjYnTduXfpb2q6V+tKWfdH1z4yC1PNvyXu0Zg7MVKmHl9/sRFRUFrVaLdevWYd26dfD5\nfKipqUFsbCxiY2OxbNkyKBQKaLVaGS+vXq/HkiVLsGTJEgiCAJPJhJSUFKSkpMDpdGLNmjVIT09H\neno6Tp48yfGaYDCIhIQElJaWYv78+Zg/fz42bNiAsrIyGAwGGAwGOBwOlJeXIzExEYmJifjoo48Q\nGhqKrKwsZGVlob6+HvX19QgLC+NrvvzySxmjDj3LZDIx9/CxY8f4+tTUVOZWValUiIqKgsFgwM8/\n/4yff/4Z+/fvZ9rDhoYGlJeXQ61Ww2w2w2w2Y8WKFdDpdPB6vTwPqA6q3W6H3W5HWloaU/epVCpo\nNBqYzWYZl3IwGJT1uaGhAZGRkWwxHz9+HIFAAIFAAOnp6bDb7di2bRu2bdsGpVKJnTt3wmg0ok+f\nPujTpw/UajUEQYBOp4NOp0P37t3x22+/8TPMZjPsdjv/nh3tLQLAnLjFxcUoLi6GIAj44YcfoNFo\nZHG80/EiK5VKdu/TOzmdTni9Xtxzzz245557uIJQaWkpSktL+Vqn0wmn0wm73Y7y8nJ4vV54vV62\nnj0eDzweDy6++GLk5uby77pgwQLORfX7/Vi5ciV0Oh2ys7ORnZ0tY0ei8ZTmjc6aNQsLFy7E6NGj\nZXsGWaFKpRKlpaWw2+38ToFAABs3buTr1Wo1SktLZfe/8sorcLvdcLvdbNXr9XrO37ZYLHw9VZtp\nuqeRGI1GrFy5ksdk8eLFWLVqFc+jYDCIwsJCbu/48eNQq9WYOXMmZs6cic8//5w9pPQ88kABjTHW\nZcuWcc78Wc2n5r5sjSv4TO5HqWu4NfFBaRvnMvbYlutae++Z/ga0HN893TXtdX+35Ppuq7u4aZy2\naZ87yhWcl5cnEDBj9+7diIuL4/6kpKRwmggAjB07VuaSIkCQ1WplWrzo6GhUVVVxOkxhYSFSUlIY\nKLFp0ybU1dVxWa+CggKO9dD1Xbt2ZTeW2WyGxWJhV5nZbEZ2dja7schFWlpayvm1DzzwAJYtW8Z5\nddHR0dBqtdynqKgoBv8AYr4nUdmRCILAceOMjAxs376d3Y89e/ZEbW0tg5/i4uJQWlqKoqIifsaA\nAQPgdrs59/C///0vQkNDQalNERERiI2NlbnTfD4f5zZOmDABR44cYVANCRUtX716NXr27MkcuG63\nm4E0a9asASASBYSHh7Mb9fDhw8jIyGCSCjpQUDw8OTkZ0dHR533eeTweJuG3WCwycgECwRCYKSkp\nSaYA3n//fTz66KNYuXIlAGDq1KnMVQuI4yiNoep0Ovh8Pv5+9OjR2LRpkyzHWeqqDQaDiIyMlNUI\nJm5oQJzz0jDDO++8gxEjRnA6zaFDh9CzZ0/+XZVKpazGcTAYhNvtxjvvvIMnnniCrwHEWD4AzJw5\nE2FhYayMjhw5giFDhsjc3xqNBrNmzQIAXHLJJYiIiGDcAh3QiJLT7XYjNjaW35HoCqUu4NLSUgYM\n/vTTTxyCINFoNJxrnpaWhiuuuIIxBp9//jkCgQCHWrp16yYrpVdfX4/FixczheODDz4Ir9fLJDL3\n3HMP1Gr1+Y+xnq1y+qu9Nn3fnIJoS/unu6at8cyW2j7bOHFbn386JXiuDiLN3N8hitXpdHKMtaCg\nAJGRkRyLGThwIBoaGjjZnlCpBDSKi4vj6jTEWZuWloaGhgbeFP7KUeP4zMSJExEeHs6I2IqKCphM\nJt64AoEA57kBotKrra2VgT+omDTQiED0eDwcb6SDAj1DpVIhJCSEFQopayk3KgAmc7BardBqtTJA\njVTJkQVMmzfF6QKBgKwovJTtae/evejVqxe/B9X9pDZCQkJgs9n4fpPJhD179rAiJqG47t69e9Gv\nXz8eJ2KGEgSBWaxGjx4tA+IcOnQISUlJPHakdChuazQaYTAYOjTG+tJLL2Hu3LmyakZ+v58PVsFg\nUAZ8CQkJYe5cQKztOXfuXD54EV8yKb/y8nLExcXJELEzZszgHNH7778fOp2Oa5MCjcoQAG666SZ8\n/fXXfJiUAp2of6tXr8bVV1/Nf7vuuuuwbt06AGDQEPWHPA5KpRIPPPAAAODjjz+WMSPZbDaYTCZe\nM5MmTYIgCMzJ+8orr3DbwKlkQOQBofluMplO2deVSiXnqR49epSVMSCigv/xj3/g/vvv5/Y+/PBD\nbo9wA1Iu4zvvvJPZ16hQBM19u90uY6OSemgAttY7Y6yd0imd0imd0il/B2mReYn/0UprqD2o07NF\nAbfF+mxtm+29/ly4p8/03bl4z7bIaaziDrFYCwoK+AVDQ0OhUqnYcissLER8fDxbWRS/ojSAbt26\ncQyRXMHV1dUwGAxswXbp0gWBQIBdouXl5Th+/DgyMzMBNOYBEhJZmoYAiKfdqKgoZkWKiIjgtgAR\nyUzxOLIKamtrER8ffwptHllFVPKKkJxlZWUwmUz83jqdDjabja1onU4Hg8HA/bJarTI+W0A8dUdG\nRrJ17/V6UVxczGkaVPGHnuH1emGxWHicKO+VLKXc3Fx07doVVCuXXLbkCqZTP7ksye1ssVgYfVxZ\nWYm8vDzmTKa2aCyrqqpk9IG7d+/GmDFjzvu8e+KJJ/gHJvcn/XZut1tWWWXy5MlYuXIlli5dCkB0\nU37//fcyFiIpStfn80Gr1eLWW28FININ+nw+zsmkuUPWkrR2KiC6Kd9//32e86+99hqeeeYZmftX\nit6mOKI0PUdqUQuCgIcffpjpCcmaljJ/kdeF3umxxx7Du+++K+vX3XffLWM3omfT/R6Ph+fn1q1b\nMWrUqFNqzBKF5+effy5LAVKr1Zg6dSo++OADACKKWFoPlvoq1Td+v5/7q9Fo4Pf72fPj8/ngcDh4\nXkkrBwHi3H/00Uf5fTZs2ICrrrrq/LiCcXaV485a2hKfBdpHuN/0QNDaeGpb48Zn+ltbRHp/U6XX\nUmy3re9wunHpKFfwgQMHBEqVIaIF6QLxer0yBVVfX88KqkuXLvB4PMjPz2f3Yvfu3bFo0SKmLKTE\ndVrEq1atwoQJEzjJftu2bUhNTWWFEQwGkZOTgx49egAA5/NRnJd4YqlP+/btYx5iUvjJycnYsmUL\n57qaTCZZ/UmKtxKR/3//+1+8/fbbHHcTBAGLFy/mGFggEIDVakVBQQEAkdfX5/Phiiuu4HcICQmB\n0+nkdJva2lr8/PPPeO211wCIaSBut5vjmYmJibIycQQ4+fnnnwGIm5nT6eT8X61Wi6KiIhw4cACA\nyC+bm5vLmxdthlTfFhBd+3q9nueV2WyG1Wpld/L333+PCRMmyIqph4aGnvd598EHHwiUakGKqen6\nkbpepZs4lXSTFp3X6/VMWdizZ89TgIRScgKVSoUff/yR4+8ajQaC0EihGBoaCqVSyTnMM2bMkGEA\nLr30UsyaNYtdvwqFQqak6uvrYTKZOB+ZKDrpdwsGg7BardBoNDzf6JAkzbMGGkksmua90j3S/WLR\nokVcT/XgwYMYPXo03x8MBrkusnTMpYeFXbt2cajDarWiV69eGDt2LABgzZo1qKqq4lxyt9uN2bNn\ncz70ihUrZGM+a9YsvPrqqzLFLz1sEC83pRtt3br1f0sQcbaW29nI+XhGa5Vma8FLrY2FtvcQ0dr+\nteX+ZtrtEMVqtVoFaQHwo0ePciWQnJwc9OrVizlze/bsyeAiQFzwJSUlSE1NldV+VKvVHLej0/32\n7dsBNLK9kJJKTk6GIAhsyVVXV8tYYnJzc5mNBxCVe1VVlSw2SYqSwEjx8fE4duwYgytMJhPKy8v5\nd3C73YiOjpblLxIjDtDIbUqfPR4PvF4vWz1arRZOp5M3GmK5KS8v537FxMTIxrK0tBSFhYVsDxu8\nRwAAIABJREFUJYeHhzM4DBBzY1NSUpiNZ9CgQYwaBhrJ3OkAUlxcDL/fzwQSxPNcVVXF+YwpKSmw\nWCysSIPBIAKBAMrKygCIwCCTycQbZDAYRFJSUofEWKVMSVLrxul0IjQ0lK2nhx56SAYuuu2227Bk\nyRKZkmhqIUrXW3V1NRISEvhvTSuxkKUo5Rp+5513WLFSPJLmH1mX9LxgMAiPx8OKlViOSGnROiDr\n7MEHH5TdC4DRwDfddBMAcEyX+jxv3jzMnj2bFaVWq8WwYcN4TXm9XsyaNYvjxA6HA2FhYdzn9evX\nY8yYMbymiKBByi61e/duJob5z3/+w+9O/VSr1Vz/dc6cOdDpdLID9/Tp03k9PPHEE7IxlY49PV8K\nbhIEASEhIf97gohTGpZYPO1RAmd77enuJWkJaHQ2fWrJAm7unrZIa5T76T635t3pnv+VK/j48eNc\nNs7hcCAlJYWrZBAzDxEj/Pbbb7jkkku4RNeIESOgUCiYwQgQN2uFQsHWo9lshsPhYAt037592L9/\nP5OY19bWor6+nguEZ2RkwGw2s9Izm82orq7mTai8vBzDhw9nhVRXV8epQjSeBw8exPDhw3ljIeuA\nrBKj0Yj8/HwGWZSWlsJgMLDS02q1sFgs2LBhAwCRUi4mJoZ/n4aGBnYnA6Jrldy2WVlZ3K+YmBh+\nj7i4OHi9XrbUXS6XbNx69uwpQxFTKtGll14KQNyUjh49yshNUpb0vAsuuAAlJSUwm828weXl5aGq\nqootILPZjIaGBlZiJSUlUCqVfADZv38/Ro0add7nnZSUJBAI8EEFaEQF07hVV1cjKiqKAXOzZs3C\nJ598wtVkrrjiCplVTnR7lMbxwAMPwGKx8KGrT58+MoKJsrIy7N69G9dddx0AcFUYaTUcl8vFvxvd\nS3NBo9Hg3nvvxdSpUwGAySTIGtu2bZvM3fzss8/i5ZdfbtYVXFJSgmXLlrEiA0Rl9vLLL3Mbzz33\nHB8u1Go1HA4Htm7dCkBkp1IqlbjjjjsAACtXruQULgDscaLDLBUeIDDfvn37MHLkSFlRgJdeeglv\nvPEG9+f333/H5ZdfTr8n3n//fcydO5c///bbb+zRIVfxnXfeCUA8ZCxduhQPP/wwANEVPGHChE7w\nUqd0Sqd0Sqd0yt9B2myxNufybHJv6ztxDtNFWuPubKuF2JbUlubcsO2Jy7bm+/b2qaW+/K9irKWl\npQIBj+rq6mQWTXR0NCwWC3755RcAYnwpNzeXLZzKykpERETAbrezBdWzZ084nU4+fa9fvx4KhQJv\nvfUWAPGk6/F4+F2lnK2AaBUTtykgnsal9GlEWkEgoYEDB3LZK6Jge+CBBzBhwgR2jSUkJMDv97M1\nKAgCqqqq2GKlvEl6h27duqGhoYH7QKkQVGP2tttuQ0NDAwOwPB4PgsEgFi5cyDUtb7vtNoSEhLBL\ncP/+/XjjjTc4d2/YsGHo2bMnp5HU19cjOjoazz77LAAxP7K2tpbH58iRIzCZTOz6ra+vx4YNG7jY\ntMvlgsfjgclkYovE7XYzJSQgzrPffvuNLdiBAwfC6/VyfHLAgAFnxdnaWvH5fDKL1e/3c+rJsmXL\nEAgE2OPx73//G+PHj8fmzZsBAHPnzmVSE6AxxkprThAEtk4BcMHvpvFJEkEQsGvXLi4xKP070Lg2\nn376aQDi70Zk9YA4N7KyshikRvF/cjcLgiAjiKB4rCAI+PTTTwGI8fLMzEzOQ120aJFsP9ixYwe2\nb9+Ohx56CEBj7jb1sbS0FA6Hg7mByVVNIYH58+fj5ptv5jS0sLAwCIIg8+hIS+eRG5f6V15ejmee\neUZmUScnJ3M92BUrVsjqrQaDQYSEhMhoGimtDhBT8qqqqrjIxa233npW+12b81hbcjee9iHnSHGe\nCRDUHIintW7XtgKLWgskaskl3JZnNr33bJV7W13e6CBXcFFREce7Dhw4gOHDh+PBBx8EINaJlJK0\nv/7661i0aBEv2NDQUK5k8+GHHwIQlRpVhwHEDb+qqopBPQkJCbBYLBxrLSsrk92fkZGB5ORkVt4e\njwclJSXMLfzII49g1qxZjGyNjo5Gfn4+unTpwnGumTNnYvny5dwHpVIJg8HA/Q4PD0dJSQkr0tjY\nWGatAURXWUREBPfhk08+gdPpxKhRowCI8c3o6GhW1OvWrUPv3r2RkZHBcVin04lgMIg///wTgBgL\nHjp0qKyANuWRAuK8lKKld+zYgUOHDuHaa68FICrS7du3c+L+d999hxtvvJFzdwcMGIDc3FyEh4ez\nW33cuHHYsWMHg7hOnDiBYDDIG3BMTAzHIAFR+Y8ePfq8zzuv18vb3d69e3HxxRfLNnmfz8d5plFR\nUbj33nt5k6bYHK1nOiBJ45YU9wTEcaYKOIA4/4ghCxDH2WQyccx/woQJCAaDXED+qquugtVqZber\nz+eDRqNhkNk//vEPWWUaIsgnUalUuP3227n6E5HVEyuWtM9S7t+qqirZ4XHZsmXsblar1Thw4ADn\nKz/yyCOyajGCIGD37t1MwkL82zSGTQ8aDocDRqORiUQqKyvRrVs3PrwQjoIIJ5KSkuBwOHguO51O\nvPXWW9y/5ORk7Nu3j2sHW61WBINBXi/0G9N63bhx498XFdzamN7pFNFfD2+2zZaU2LmIXZ4vEFZL\nilEq58LSbYvFfbrvO1KxVlRUCERwP3LkSPzwww+MmHz66afx7rvvcv8sFosMDBMXF4dVq1Zh3Lhx\nvJHt3r0bl112GQOeBgwYgJqaGpmVW1NTg+zsbABiMv3hw4d5kVEslKzoZ555Bi+++KKsGHePHj24\nDzU1NTAajTL6u5UrV2Lq1KmcymIymbBz5062ZOrr69G/f38m3a+pqYHf72dCCaPRCLfbzRtJfX09\n+vbty8jnPXv2QKlU8mb9f//3f+jZsydiY2MZrWqz2TB//nyOO5lMJpSWlnIfCYhESrCwsBATJkzg\nqi5btmzB1KlTOUXG5/Nhx44dGDx4MADRSpECSDZs2IDJkyfjjz/+4FJzZrMZCxcu5Ios8fHxcDgc\n2LdvHwBxnmVmZvKG/sYbb+D1118/7/PuzjvvFObNmwdAPNQUFhZy7Pjjjz9mcnagkcqQ+hgSEoLs\n7GxG3QaDQRw8eJCZj+x2O0wmE8cnX3nlFfj9fk53ufTSSzFo0CCOJxJwiNJ5pk2bBo/HI2PE2rBh\nA9auXcv9e/755/Gvf/0LQKN1SKxD6enpsv7W19fDZrOxkoqKioLJZMIrr7zCVjAxmElBPh6Ph2P+\nxG5GYjKZUFNTw4qNUnzoGVRNhvpABwkqTJCVlYXHHnuM48bp6enweDxMDNO/f39oNBouEDFv3jyM\nGTOG1zgdJGiuJiUlobS0lC3cuXPnYs+ePfybUFEDKoTQr18/REZG8v5XW1uL2NjYzhhrp3RKp3RK\np3TK30HOKSq4rW5Z6d//el6rru9IaU/6TXNoW5KWkMTnEk3dGmmlN6HD0m3I+svPz4fBYGC3XHR0\nNOrr69ndGBsbi/DwcEaiXnjhhUyJR9y9RA5ByGKNRoMuXbpgyZIlAEReUL/fzyQGRChBp2un04mI\niAiOE0ZGRsJmszERQkpKCoqLi9mtRDys5CoFRHfe8ePHOZao0+mgVqvZfRwXF4f6+nq2LolLllyi\nFNMlV3J8fDyOHj3KKEqVSgWbzcZWFhHwS/tpMBgQFRXFlvimTZvQpUsXGR1cZWUlW8lRUVEIBAJs\nVaelpWHPnj2Mpg4JCYFarWZLau/evejRowdbwFT30+Vy8dgPHjwYBoOBrVqy9Oi9yW1J7uvo6GiE\nh4d3SLoNTW+PxyMrG0ek82RR6nQ6zJw5ky3EZ599Fu+//76Mr7p3797sAbFarUwnSZ+p8AK1N336\ndI6/ExpXGvOlvEsAzCEtTbeh++j7yspKzgEluk1pHFeKcqYSa6+//jqeeuopAI2/A7UZCAQQEhLC\nZdjuuusuAPKUHamF+8QTTyAtLY0tyJdffhkKhYLj0kOGDMELL7zAOdWfffYZpkyZwn0SBLHoALm7\niaKR+tM0ZhsWFnZKnDoQCLBXicrW0Rh+8803uPHGG2XF6KdOncpegr/IXdo979TNfdlWwE1LaSZt\nVQStcZW2VlG3N57ZGmXf3Ge6vjX9lF5zNmPZHqXb0kGgI4UWBdAIrCCXkkKhgEajYWUQEhICvV4v\ni5UQRy4pZ7/fj/DwcHZj6fV6GI1G3ngiIyNx7NgxZgPSarXMngOIG6s0x41SFcht5fP5ZApGrVbD\n7XYjGAzyM7xeL7p27cqbpUKhkNXdVKlU0Ol0vElqtVo0NDTwZqFWq2E0GmWcyDqdjpWgy+WCIAh8\nmHC73ex+I3dZaGgoNBoNKzW9Xg+DwcD3eL1e2YGC3jUxMZH7HBsby+9AgBdpVSECoZBQ3I7aDAaD\ncDgcMhCJNO2I+kcbqtTdeD7lyiuv5BhlMBjkOUSiUCi4nu8999yDBQsW4MsvvwQAzm8lUSqVsrQl\nAozRuDU0NHDKFyC+/7vvvnvKwZrk7rvvxurVq/mAJJ1DANCjRw+cOHFCto/s2rWLAU3S1B+6T/qZ\niB2ee+45nuP0nuRKpbVA6SnkSr3vvvsAiPP3ggsuYC7rt99+mysn0TMnTZrEKUdqtRpvvPEGK7Zb\nb70Vs2bNkuWrSnN7x40bx2tGOkbbtm3j708nUmUr/T0JjEhjNn78eCQmJsr4k89GWrRYW4OyBVq/\nmZ/OcmuLomwPaKe5frQnBiuVs41Bt6ed9qKDz0Y6MsZ68uRJtlhzcnJw0UUXyU7GdXV1bD388ssv\nuOeee2QgIJvNBo/HwxVV7rjjDhw8eJBjqpT3R1ZvcXExhg0bxuTyW7ZsQbdu3TgmGxsbi9raWv5e\nr9cjOzubiRFyc3MxePBgtrrq6+sRGhqK8PBw7ufmzZsxYcIEthY1Gg0MBgOfqCMiIlBTU8N98vv9\nyMzM5I2uuroaZWVl+P777wGIJAWHDh1iYBEdJKjCypgxYxAXF4eYmBhG4FZWVqKoqIjHoaysDJdc\ncgkrXir+LCWHz8/P5wPE7t27sWvXLtx9990AxE3r0KFDHFerr69HZmYmFzvo0aMHqqurodfrOYY6\ncOBAVFRU8EGotLQUoaGhbMmXlpYylSIgKqHk5OTzPu/cbrdAALlrr70WEydOZGRyv379ZExLJSUl\nSE9Pl4GXCOwDiF6WHj16MDPXr7/+Cp1OxzmX27ZtQ3x8PHtI9Ho9Ghoa2PuwZcsWDBs2jON/BEai\nuRQSEoLdu3fjkksuASAeBKRKjCxs8jQkJyfj1ltv5YMAxSOl9IJULIF+S0EQCfYJWTxq1Cjo9XrG\nCNCBjto4cuQIunfvLqMklBaAsNvt+OSTTxhDMHbsWAiCnM1KqvDdbjfUajWDoXr27Inw8HD+vr6+\nHnv27OGYa1RUFLxeLx+mqTA9HUYiIyNlcWoq4UgHOPqO5v7jjz+O9957rzPG2imd0imd0imd8neQ\nVlusrUnfoL+d6fpWdaidVlxz7bU3neVc9eFM7bclbag1bTU3di3FcVsT/+6oGGthYSF3pKioCAkJ\nCXyydLlciI+PZwq8iIgIhISEsLVIxPKCIDCKt7i4WHZPTEwMQkNDOd4zbNgw/PLLL8zaYrPZEB0d\nLUMcCkJjySuv1ytjMPL7/bDZbOz2dbvdqKurY8YdQIzT9uzZk125BoMBgUCAY6zh4eHQ6/Uyy5t4\nkekZERERfILPzMxESUkJpy/U1dXB5XIxtaPX60VOTg4yMjL41K7X63H8+HG2tCsqKtC9e3e2Uux2\nOzQaDVvRlEJC1kl+fj7MZjOf6s1mM5dAA8S41fXXX89WSG1tLeLi4pCTk8Ou0csuu4xjsdTv4cOH\ncwpQZGSkjH5v586dZ8WA01rxer0CIWJffPFF6HQ6WQmy0aNHc7qLRqOBQqHgPNfFixfLXIcajUZG\nKej1ehllC4jjYjabsXPnTgAiqf7333/P49p0Hfr9fgiCwHOJ1qqUcF4QBDzyyCMARPo/aSoLMUfR\nmAqCwOELQJzf06ZNw0cffSRzJ0td+PX19YiIiOA1odfrudwccCpfMtUTpnf+7LPPMHnyZL5/+vTp\n+PTTT7kwwYoVKxAIBGTvrtFouD0ac/K25OXlISMjA9999x0AETUsCAJ7eIYOHYr/+7//43l34YUX\nYs+ePWyBr1u3Dv/85z85BEHhnptvvhmA6N6Pi4s7PzFWoG10eNLrm7unJaV1rpRZaxTOme5pq7u5\nNeCkM13b9PrWpsY0vb65OGlLbvSmzzzdO3SUeDwezjHt06cPDhw4wATjM2bMwJw5c9g9GQwGcezY\nMVY4kyZNwtatW5GUlMQb/rp163DDDTdwjOyOO+5AQ0MDU7xZLBYcPHiQY7DDhg3DoUOH2DVnMBig\nVCpZsX799dd47LHHWBmkp6fL4kGVlZVQqVRccxUQU1d69erFihIQa04SwCUsLAyJiYm88E+cOIH6\n+npWQGazGcFgkMkYysvLkZKSwr9LTk4OrFYrUwcePXqUN1dK0XG5XFizZg2mT58OAOjbty8KCgp4\n86yrq0NhYSEXNo+JicE111zDuYtbtmzBddddx4qYSDBonPv27QubzcYHmJ9++gm33nor1q5dy5yz\nDQ0N2LRpE7t+MzIyIAgCFwLIysrCxRdfzGNPuZbnW4LBIObMmQMAeOGFFzB79mw+mFksFmzevFm2\nHh0OB2bMmAFAVHzZ2dns2o2IiEBRURF/rq2t5cMJ0AgKo+8//fRTpgAEwHNHCkbau3cvkzVYrdZT\nwDqzZs3iPNu5c+eitraW45U6nU62lh0OB6qrq9mt2717d3z00UdwuVw8Pw0GA3r37s3hEIPBAK/X\nywdck8mEZcuW8XuNHDkSTqcTy5cvByDmjrvdbvz6668ARPAe5W4DIuFEIBBgsFB9fT2CwSBzRPfo\n0QNut5vnXnp6OlQqFRcFsNvtOHHihKxm8qeffsq56Nu3b0dNTQ3nS/v9fmRkZPChj+giqRBBWFgY\nevXqxWBB2gvaKy3msfI/zqP1eL6tw5bkbKzk9ua9NqdsO2IcWvtb/C8s1urqaoEWTHR0NLKzszlX\ncuvWrRgyZAiqq6sBiBVZjh07xgrFbrejsrIS8fHxrAAqKioQFxfHp2VAVN6kKC+44ALU1NSwQujT\npw9cLhcry+rqaq5GA4i8pYMGDZIBqqQ8q1QuTloWTqFQoLKykg8EZrMZhYWFsgokiYmJDCTy+Xyw\n2+28eZIFLbUgIiMjeRxUKhVcLhcrXqvVCo/HA4vFwvckJCRg7969HJcKBALYuXMnbyYGgwFJSUm8\neRUWFqJv375sWaWmpqJXr1783h6PhzmJ6ZnV1dX8Wxw5cgQZGRkoLy/n9xYEAQUFBWzdU3UbOkh1\n7doVUVFRbDWXlJRg4MCB533e3XLLLcz29fbbb8tI+C0WC3sQgEaAFc0PIn+gzyqVCk8//TSXn2t6\n8J03bx6effZZtvY8Ho+sUoxCoZBZmIA4tgTYO91BWhqfpHivFOUsjR/+5z//gdVqlSGACWQmJZKQ\nEkYAYj4tYR18Pp+sODuhiOl68naQlf3dd98xIxcA/Pzzzzh06BDzcxNBg5Q7u7a2lhWctMoTPZ9y\nZQGw0pdyDktL9/3zn//EihUruB2Ki9NBYMqUKVCr1Zxf/eGHH8JgMHTGWDulUzqlUzqlU/4Ocs7y\nWDvS6mzLs1p7bVvb/F9Z162RluK3JG21tDvKYrXb7QJZanl5eUhISGBEpDQ+CIgnU2nqApVXUygU\nbEFQjIvimWFhYTAYDJxeMXLkSJSUlHCNy9raWkRFRbFlRn2h0zSdzqUWS11dHbsO/X4/HA6HzLWm\n1+sRExNziruPLDNCPEpRjFK3sdVqRVRUFLuOe/fujdzcXGb7sdvt8Pv9bPH6/X6m1qN2KK+ULC9C\nXJPV7HK5ZGhRpVLJObz0vcVikdVr9fl8bAWsX78e48aNY0uMcjFra2s5n3fcuHGwWCw8dseOHcPw\n4cPZBUixZ5K/YtcdksdK/yZrlPpBVg+N40MPPYQNGzawi73psmgagqJYI41rdXW1LIZPMVBpjFXa\n5vXXX89ocOnzaH7SfeQGTUxMxKJFi/h50pxcuv/WW2/l0AjQmCsrvS4QCLA3o6CgAGFhYRzz1Ov1\nMguVrGtpn5qG/YLBIK8hg8HQ7J5DdIpSC1ipVMrixAqFgpHTRC9KzGMHDx5kFzogxnR37NjB/fn+\n++9x4403yigVpRIIBKDRaM4fpaHsw1kCklob32xLux2l4NoK+jnTvdK/tRb41RZw0uk+S+9vL9is\nI9NtfvrpJ4EWaEZGBioqKjBy5EgAwNKlS3H77bdzSkd8fDz27t3LIB63240TJ05Aq9Uy0OHQoUOc\nZwc0Ki1yI9XU1KCgoICh+mFhYQgPD2dXssvlwokTJzguuHr1alx77bVMGderVy/odDpWMHl5eRx7\nIlKA/Px8GI1GPiCkpKQgLy+Px72+vh49e/Zk5f/nn39i/PjxfH10dDR27tyJXr16ARBdYeHh4bzR\nKZVKOBwOjo9OmjQJFRUV6Nq1K8cv9Xo9JkyYwPVVQ0NDceLECR53nU6Hvn37cuyYCmKTUvzjjz/w\nr3/9ixWtTqfD2rVr2RVsNpthsVj48+bNmzFx4kQcOHCAXdQVFRX4+OOPGSQyZMgQBAIBLi925MgR\nJh8AgI8++gizZs067/Nu8+bNTML/xx9/4OGHH+b3zMvLQ1pamkxp2O12WYkzh8PBm/5dd92Fjz76\niNcW5QZL19gzzzyDWbNmcXv0H9DopqRDWGhoKAoLC2XhDqPRKKvX6na7+cADiPOB5galvtBhhv5O\nit1oNMLn86GqqooJRubOnYt58+bxXBkxYgRefPFFvPTSS/zO5LIGRJd9t27dmOTi999/x9dff81j\nQnnB9NnhcOCHH37ADTfcwO/ocDg4D7Zfv37Izc3lwy65smlMd+/ejd69e/M7E2UoxUwHDRqEb7/9\nlnN5vV4v1q5dy2MwceJEAOB9pLy8nOOx9D4pKSnnR7G2xmJtTQ5qa5Xf+VSULSmQFmKLzfbrbOOl\nZ7r/bMaipdhvW9/pr791iGKtqakRpLy7kZGRbGURcQKdfAVBQFRUFFe7IWVEKEZABJPs27ePrcFu\n3bohNjaWY4m1tbVISUlhxXv48GGZYg0JCWEFBzQSxe/evRuAuEilpOh5eXno2rUrvF4vK65+/frJ\nqvRoNBqEhISw5Z2QkICamhrOPTx48CAuu+wyJmdoaGhAeXk5K/fIyEjk5uZy7NLv98Pj8XA89Oqr\nr2YkKr1neXk5NBoNn+qPHj2K9PR03sABUbHRM7t16waPx8Pj5vf7sWnTJibdJ8VOIJhgMIj4+Hi2\nwokxy+Px8PjFxsYyopT6lJqayoecI0eOyIoXqFQqREZGnvd55/f72UtC1qN0LwgEAlx7VK1WY86c\nOVztJjExEcFgkJXKjBkzoFarGeHtcrlgMpn4ndxutywPlQgypPnD9EwStVrNSozQ1tIc0KbVa1as\nWIHbb78dAGQKjd7nwQcf5MpIgUAAixcvxlVXXcVgopdeeumUwuMqlYq5fZ966ikEg0Fmn5o0aRIu\nuugi3rsId0BkJEqlEkajkck0HnzwQQQCAUZW33DDDbj88st5DRHPMP0GpaWlSE5OlhGN0J4AADff\nfDO++eYb/n7atGkMkKLPy5cv5/YoJkufly5dijvuuEPW/7NhXuqMsXZKp3RKp3RKp5xDOWcWa0vW\nT3PXtDe3sjXPPVObbbVgW5LW9Ols3cltub6lNpr2Wdqvpv+WfO4Qi3XRokUCpRasWLECjz32GFs8\nCQkJEASBuYGl1g4gWgNRUVH4/fffMXbsWACNJdVIgsEgIiMj8dxzzwEQT9+33HILNmzYAECsDDNi\nxAgu2+X3+6HX69ny6969Oz8HEN24gUCAY6wejwdZWVlwu92M5PR6vUhLS2O3bHJyMiIiItjyJuua\nLNzo6GjodDp2NxsMBqjVaraKZs+ejWPHjrGVrdVqZfHPhIQELF++HNdffz3n61500UVYu3YtW7ml\npaW48MILueJHQ0MDYmJiON4ZDAZRWVnJ7rhff/0V/fv3Z6sgOTkZW7ZsYQv4ww8/xF133cUudafT\nCZPJhJMnT7KLLiYmBmvWrGFksslkwg033IB169YBEC3aqKgoRoN+8skneP7558/7vMvJyRHIhb19\n+3aMHDmSLUSyBIlJiVI1SP6Kx3GO8pQpU7B27Vr+LWjNkUVaW1uLiIgIWQ7ohg0bmJbP4/FAEAR2\n9a5evRpr167FRx99BED0dkituZCQEFx11VVcS3Tv3r0YMmQIYwiuvfZafPvtt4zKVavVspJwAPDm\nm29i5syZ/EyXyyVL+fntt98wduxY5nCeOXMmLBYLP5PKztGaSU5OxrZt2zB06FAAwMmTJ2Wc3+Hh\n4QgPD5fl4nq9Xn6nNWvW4LrrrmNMQY8ePWS4CfJkkYdmyJAhMi5glUqFL7/8kqsqhYWFwWQysZfB\n4XCgf//+oCpaGRkZWLJkCcfNb7nlFgwdOvT8uYKbc5E223AzccGzUTDS+6VtnKlPbVVa50pON27N\nvWdb3MnnEijWUly3yXUdolgPHz4sSF2mJpOJXUT5+fnQaDSsKMvKyqBWqzF//nwAYlk5h8OB/fv3\ns6utrq4OtbW1DGQYO3YsdDodK6Uff/wROTk5nGBfWVnJygUQXX0ej4fBK5GRkfD7/Zycftddd8k4\ncvfu3YukpCRotVreiPR6PcLCwnizpkLYlOKTkJCAwsJCVsRffPEFLr/8co4dazQa5OTkcM4okfjT\nRlVdXX1K/q/ZbEZERATHXbOzs6FSqTB58mQAjXE4SonweDz4+uuveawnTJgAg8HAh5qDBw/Cbrdj\nwoQJAESFI40Tk/ubDj1hYWGcBkQb7OHDh2G32zkOGxsby0WtAWDVqlUYNGgQx/q2b9+EGllTAAAg\nAElEQVSOa6655rzPO6fTKVBB93//+99QqVR8cCovL5eljng8HigUClZc69atwzvvvMMUiJ999hnm\nzZvHblC73Y6oqCieo8888wx27NjB43zRRRexy5xEp9Oxknj//feRk5ODhQsXAhAPiqmpqTLAjdVq\n5XKA7777rixdhwhO6Pr+/ftjz549Mte0Wq3GkSNHOBZO8WNpcQRpSo8giCQT1Mf9+/dj0KBBPEYG\ngwElJSUcJggEAujevTvf/8ADD2DRokV8f3FxMXw+Hx/iqEg5Kb7Q0FCZq5nGVur+tlgsMtILIlUB\nREXq8/k4Beq1116TuduPHz+O1NRUbm/79u0YMWLE/y7Gyg01s0FL2mtT5850/9lYrM1d1/Tf50La\nclhojdUvlfPRzxZizR2iWN1ut0Cxx/j4ePz5559sZR09ehTDhw9nJVdTU4OwsDBeEEajEYcPH0a/\nfv04udxgMCAyMpItirCwMNTU1Mj4To1GIyulvn37orCwkJWgz+eDyWTi6//44w8MHDiQN6rS0lJ0\n7dpVtgmFhYVBoVCwUsrOzkb37t3ZEtNqtSguLmaLlZh6SNm73W5GAtP1fr+fFbHL5UKXLl14HCor\nK6HRaJhQYv/+/ejTpw8cDgdvoMFgEEVFRQyAIsVOG7xCoUBERATHfRsaGtCtWze2mnU6HSIiIhgp\nWl9fj6qqKt4MGxoaeJMGRGWfmJgIi8XC7202m1FcXMxxXKVSicLCQp5n4eHhTEYAiCCS/v37n/d5\nJwiCQM+kmDopifr6esTExPCa+OCDD1BZWYkXX3wRgKgE7HY7F4CfOHEiHnnkER4H4vGVtk/3AeJv\nGRoaimeeeQaAeOh66qmn+P4LL7wQixcvxqWXXsr9lRYqCAaDuPfee/HJJ58AEPmY9+7dyzFeAk/R\nGL/66quYOXMmHwwnTZqE0NBQBINBGRK6aT1WKRJeEMTqM7QG9Ho9vvjiCz60BQIB2Z7ldrvZkwGI\nMVwi5KDnSRHr9913H6688krONc/Ly8P8+fNlxTl0Oh1/JjAVjTGtFykgTJprTExMb7/9NgCRYEOl\nUjGRyaeffoqwsLDOGGundEqndEqndMrfQVpMt2lLKklrXJxnK82111xM9nyn5bQnJtva92htHLut\n8eK2jmVHWawbNmwQKLVAEARER0eztUixFTqNR0ZGIi8vj12kDQ0N0Ol0yM3NZfh8TU0NtFotYmJi\nAIBdWHQaNplMWLduHaNdyXVHaFmr1QqVSsUWjNfrhclk4tO1Wq1GaGgon55dLhd/R1aF0+lEQ0MD\nWymJiYnwer2cjkPl8cgdWFtbi4SEBHalkauYfgKTyQSj0cjWZWxsLNxuN7uw09PTUVBQwCXx6G/f\nffcdu3KNRiP+/PNPTuPQ6XRITExkZLLdbofJZOLPRUVFGDt2rCzP9eDBg+y2DQsLY9YrGndCCdPv\nc/DgQezZs4fjugMHDuQUKfptevToweO0ffv2DuEK/u233wQKHQCN7FlAI6qWUkO+/fZbPP/884yI\npRzLr7/+GoCIUKXqKtSWdC2Rm5bGtUuXLrL6q2Q5kkX3+uuvIxgMyr6fMmUKxzfpb/SMhx9+GB98\n8IGsfqtCoZDFfKXWqEKhYJQtWXTEbEQuV4VCwVYsAMyZMwevvfaajPlIr9fz9RqNRpaSVFBQgKSk\nJH4Hi8WCsLAwZn+aP38+fD4fu8vz8/Mxb948XucJCQkyC/i7777Dtddey/3xer3QarV49dVXAYj0\nm+vWreM1a7fbZbzWJpMJwWCQvUw//vgjbrrpJn5GbW0tYmNj2z3vmuUKbo2SkF5zuuvbqtBaSgtp\nrr0zKY6WXJxtlbYq6tYApppzb58rF/qZvj+dnO+DSHNCXKiASBAgrSdpNpshCI1k39JUHEDcEChf\nlOJ2ERERKCwsZBo9q9UKQRAYyBAIBGA2m1kJlpaWIjo6WkYMoFKpWAmGh4fD6XTKUkgUCgX3yeVy\ncUoJpapER0cz+IeeqdVq+ZmU50epKoWFhUhISJDVgC0sLOSYa0hICAKBAIOh4uPjoVAomDM5IyMD\ner0eFouFlW2XLl1k5PButxtlZWX8OTExEQqFgsf+r5QDdpFrNBo0NDTIAFler5dpFc1mM2pra9nN\nazQaIQgCwsPDZYT0ycnJMuVMvzEgxsIoPgaI4LSOkJ49e8pIDqTxS/q7VJFJ3Zi0tgksR2AmKYG8\nFGBHvwGVCOzatSv8fj+XVMvOzkYwGMQrr7wCABzfpTYCgcApSvWpp57Cm2++CQBYuHAhXnzxRVb8\nJSUl2LhxI9dOpVipdD+iQu5SV68gCJxfPHLkSNmeQTzb9Lfy8nKkpaVh9uzZAMQ49bFjxxjYRqlf\n0phqYWEh9xkQ5wLxLysUCpSVlcl+E2kKVGhoqKxM3Pr16/HZZ5/hm2++AQCON5Ns3LgRsbGxfOij\ncaTf+aqrrpLt64TxaK+0KcZ6OtBQe62ojpDmAFSnu/ZM37cEwGptO22V9rbVnnFvCYHdkTHWYDAo\nkLVYXFzMXKyAuKBMJhOjDzUaDXr16sVWWZ8+fVBYWMjgGKCxEPkff/wBQGQtio2NxYoVKwCIzDZe\nr5eBDk6nk4udA41oTlKktKBp8zcYDCgsLOT4ptvtRiAQgNVq5Zio2WxGWlqaLK/P5/Ph6NGjAIBu\n3bpBEAS2ks1mM+rr6xEbGwugMY/v4MGDAMQ48I4dO7giz4kTJ+DxeHhzrqmpYSYm2syIWYk2z02b\nNuGKK67g39hqtaK2tpaVHIGtaJMJBAI4cuQIW7gREREIBoO8ub333nt46KGHWKE4nU4YjUacOHGC\nEbUvvPACbDYbWxJr167FDTfcwJY3KWP6vZ1OJ9LT0zskxkrz3+12Y9GiRRwXvv322/Hoo4+yElAq\nlQgLC5Px0r755ptsfQGNMT8AqKqq4ipMgEi80b17d/5dCKVL10uVHrUlRfGSxSnNMR06dCgTeTz6\n6KMYPHgwk3BotdpT1vby5cuZFxdoZMkixfjLL79g586dPFc+++wzTJkyhQ+KZrMZr7/+Os+NRx55\nRFad5nTcw0qlkg95dBglL4/P58PcuXO5Zq0gCDJSDbvdLqt6RONE8f+0tDRZTVyVSgWn08l1gEeM\nGCGL+x44cACZmZl8KKd27733XgBixSKtVtsZY+2UTumUTumUTvk7yDlDBbf6ga1wUbYWWdyS27gt\nf2vL9y29R3tjzefD2pW219J4nQ4d/b+wWPPz8wUpFVpISAj27NkDQLTUFAoFW0m//vorhgwZwv1U\nqVScukBQ/TFjxsBoNMrqhObm5spoEOvr65l3NzQ0FBUVFdi4cSP3ITMzk2OJdOqmz0uWLME999zD\n6RYJCQmc50on4i+++AIjR47kGA+hMKVxs+LiYkbser1eOJ1O/j1iYmJgs9mwZMkSAGLKRGZmJufd\nqdVqhIWFMYp4+/bt6NevHwKBALtqTSaTrIZmYmIisrKyOMVCoVDAaDQyrSK5NMnKbmhoQGhoKFvm\n+fn5yMrKwqhRo3icCgoK+PqEhARUVVUhMTGRY+Tl5eUoLCxkF29cXBzWr1+P3r17cx99Ph+7o3Nz\nc88qn7C14vF4hKYWI1lnxONMbsOKigqO19P1UmupsrISXbp0wRVXXAFAtChXrVrFoQmK7/3www8A\nxJgseTAA0fvg9/vRvXt3AKLF+dprr+HJJ5/kzydPnuTfzeFwQKvVYt68eQBEN6ggCFzybdu2bbj7\n7ru5/029eAsWLMCMGTNOsTCleaGFhYXIycnhd3K73VAqlewSf/vtt1FXV8dhArLwpRamIAhstdts\nNjz11FPMxETrluY7lTwkrxCFYmhu1dbWcvgDEMvQmUwmRiV7PB48/fTT3L7X68X69euZT1mj0WD7\n9u0c63/ooYfw4Ycf4pZbbgEALFu2DCaTqWPyWM+Xa7ctKTlN9/Zz1Z+2pPC05prz7Qpuy5g112Zb\nYs8dpVg9Ho9ALlSFQoGsrCyO1Wzfvh1XX301u1ClwBtA3HT27duHwYMHswKpqKiA0Whkgoe0tDRo\ntVrO77z44ouhVqsZQBMTEwOdTiejC7TZbLxJbNu2DcOGDWNXXHh4OPLz81kpOhwOrq9J7kKPx4O0\ntDT+HBISgrKyMuTn5wMQFW337t2Zu5RiyVJqR7PZzGCmyMhIHD16lMvpFRQUwOPx8HiQYo6KipIB\nUjZt2sSE5dnZ2ejduzdvVk6nE9HR0RznraioQFRUFLt2HQ4HFyKn95am0ixfvhyTJ0/m3+LYsWO4\n8MILsW/fPibfmD17No4ePcpx2KNHj2LYsGF8KImMjERcXBy73YuKijBgwIAOcQVTofNXXnkFO3fu\nxLBhwwA0KkppoQegkbhdoVDAarUyBSYAWckyt9stwwn8+uuvmDdvHtcqdblcCAkJkcWdATChQ0ND\nA55//nmOa57OFSxVloFAQJY6Qzmx1K7H48GmTZv44HDjjTfC5/PJQFakNIk3evXq1cyRDIiHA4/H\nw7m1jz/+OMdqgUZaRpKamhoZIJDyvqUEEXfeeScrQoop0/cvvPACysvLOXxDgDKKU6enp3PRCEBc\nT3a7nQGKlA5HNI9Lly6FyWTC+++/D0DMq5XGsV0u11mVjWux0DnJmQA47UHDSoWC5NLvmlPmrVG8\nZ6PUWnOAaKn9loBKTeVM1zYXvz1Xiv1cAKXOtXg8Ho53Hj58GCkpKWwlDh06VIZ+1ev1SEpKYoUT\nFxfHC5gWZVRUFEpKSnhTqKurQ1xcHFfGiI+PR3R0NFtRWVlZ6Nu3L5+WAVEp0efMzEw4nU7eJKKj\no+H3+2WLUqvVwuFwcC5tSkoKxzgB0UKNi4tj1GNqairUajUrf5fLxcoHEHNC/X4/W5OJiYk4evQo\n+vXrB6CRS5ZIzPv27ctAIKniDAsLY8toz5496Nu3Lz9DEAQ0NDSw4khNTWWUNdBYv5UAWKRgafMq\nKiqCQqHg9hMSEtj6JJCV1+uF2Wzma6iwOVk6Pp8Pbrebx5pizOdbBEHgw9pPP/2E8ePHc63O22+/\nHcFgEPv37wcADB48GFqtVlafVVobVBAEaDQajhempqZi586deOeddwCIh7+JEyfy/Jw4cSK+//57\njnn+9NNPAMAoYxIpylen0zET04wZM2QxWqoiQ78PrWn6f0hICPLy8nD//fcDAIYPH441a9bICkkA\nIgCOcnXdbjdMJhPPP6PRCIVCgYceegiAeKiaOnUq30t7EPWZlDYhocePH89Kkd6JeIrp8+zZs9kK\nf/TRRxEdHX0KuprmDT2PDpGAuCakNWw1Gg2+/PJLAGJerMlk4jEgjwO1L22nPdIZY+2UTumUTumU\nTjmHclYx1lbE5E7x55/mGbL2Tve3M8UIW5LmkK6ttfjO1gI+m/tbcgW3Nj5KcrZI4Y5yBXu9Xi4b\np1QqERISwuWrunfvjm3btnE5qClTpuC9997jeGdRURGqqqpw4sQJjj9ed911qK6uZsTf5MmTYbfb\nmd5s+vTp6NGjB6ZPnw5AtJg/+OAD5re99tpr2UoDRGsxNzcXa9euBSCyuEyYMIGRygcOHEDfvn0R\nHx/PXKc1NTUYPXo0WxHEHEMWZu/evbFw4ULcc889AIAvv/wSgUAAd999NwDxRG2z2RjlGBcXh6Sk\nJHYHbty4EQkJCcyC9PHHH2PevHkIBoPs8l62bBkWLlzIvyml+JCVYrVacckll+DKK68EINK+0XWA\naOk/+eSTHOetqqriXFfqk8vlAlED3nvvvfjiiy8watQobrOwsBCxsbHsJnU6ncjNzUVmZiYAYMeO\nHaiqqmIXd3V1dYe5gpt6zsgLYjAYkJ2dzeEIj8cjy2v2+XxYvnw5v6Pf78eyZcs4Zn/jjTeisrKS\nkeujR4+GxWJh649ipRQWWL9+PTIzM2VzTqvVspvzyJEjSE5O5ni9x+PBwYMH+XpijqLrb7jhBmzd\nulW2P1BKGCDGsXv06IFDhw5xbJvmEVmc5MmQpuOUlJQwKthgMMBqtcpiz3V1dWwhUhUb6RYiRQX/\n85//xCeffMIWJn1P+wDlyZKXYMGCBZg+fTq6desGQFz3NpuNXcWUk0qxfarJ3NSqp/5brVZkZ2cz\nh/Vfnpbz4wpuC5DodNJWN+OZlHBbFExLz2uNomuN67k9Mc62uodbevaZ+tCWcW/uPf5XbuFAIMAL\niNIAfvzxRwDAv/71L1xwwQWyBRIVFcUxPLPZDJVKhYSEBM4DjImJQUREBC86QRCwb98+duVmZmYy\niAEQlfnw4cM5taWmpgZ1dXUMdnK5XHA6nZg2bRoAESwyduxYdnMRSb9KpeJ7VqxYgdGjR8uKgAuC\nwAcCQAQkkcKZNGkSnE6nzB2t1Wr5HSZNmgSDwcBKMT09HUlJSbwxhoSEcOyO3MXTpk2DVqvlDbxL\nly7QaDSsIHQ6Hb766iuOmWo0GtTV1TGFocfjQWZmJsfqrFYrCgoKeOxsNhuCwSCn/HTr1g0DBgxA\nv379eKwjIyPR0NDArn5BENj1DojpUiaTiePb0hzl8ynp6ensmqQYJr3njTfeiJUrV8quV6vVfNgb\nNWoU7rjjDv7O6XTihRde4PVDxRio5J8gCKitreWDGeVuUg7yHXfcgbKyMn73sLAwBINBrFmzBoCo\nKL/88kvcdttt3H6/fv1YCSoUjbnIgFhUoqlIXb7kbu/Tp48MvERtAeLc27NnD3M+K5VKREZGsnIm\nbl+p8n700UexYMECvl5a2o6Exnjs2LGyODTlrVI+6v33348xY8bg8ccfBwB+dwoxCIJIz/nggw8C\nEDnE4+PjuT9Uk5YOHz169MB//vMfHieDwYCLLrpIVmz+bKTdFmt7ka/nQ9qreNtyTXuefTbPbI91\nTnI+rNW//tYhFmtVVZVACshkMsl4Rqurq2W8rX6/X5afFhoaitraWhlrTGhoKIqKipggoml+5rFj\nx9C1a1dWehSbpGeqVCpUVFSwgqFcT7KI09PTZaTp5eXlSEhI4M0GAHPP0sIlliXiNqXnUMw1NzcX\nQ4YMkS10aeFnev+mGyEBYkaNGoWwsDAGUQEi283WrVsxadIkbkMQBH6mRqOBTqdjsJJCoZBVbSkr\nK0NMTAwDpFQqFcrLy9lqTkpKgsvl4r5RbrD09/P5fAxkod+GeGgBERHbq1cvBor9pdjP+7zz+/28\n3VH+JM2pxx9/nOOjJNdddx2jeonQQroXSGPbWq1WlpOpUChOqZ/aNN9ToVDIuIWlpBX//e9/ce+9\n98pILLxeLx9OcnJyZG0Sypn6N3z4cGzZskW2RwQCAdhsNj7QkNBc0Ov1GDNmDP+d5hlJRUUF4uPj\nZX2Sgo+ysrLYK0HvLCVoGDJkCKP4aQy8Xi8/X6fTcSEAQOT2jYiI4LzbW2+9FUBjlShinpL2h/LZ\nqX3p/vbhhx/i/vvvlyl2jUZzflDBOI1uPRegHOn3LbmCW2qnNZbd2SiVtvbpdG7Yc6TU2q2IW3u4\naKmvHaVYy8rKBILlezweREdHM8HA1VdfjbKyMgb2zJ8/H9OnT+fk+OHDh3Ohc7II7rvvPhQUFMjK\ndFVVVbHbZ+XKlRg0aBC7H8vLy1FRUcGEEv3795elmRBrDg3H4cOHMXnyZHYF19fXIyoqCnFxcZxi\nsXHjRq4WA4jjrdfrZSkYhw8fZuvhxIkT6NatG290wWAQJSUlXF5t1KhRMJlMvHHYbDZEREQwutbl\ncuHKK69ESEgIA6hycnKQmJjIrtuwsDDodDp+D6/Xi8LCQj7FJyUlycBMR48exebNm/Hwww8DEC35\nnJwc7nPXrl3h8Xg4NWrEiBHIzs5Geno6u/hsNhucTie/l0KhwOHDh3nTzcvLg0aj4UNQdXV1hxBE\n3HvvvcLixYsBiGtArVZzKKB///5MOQmI1YsGDRrECO6oqCg8/PDDnB4zZswYXHjhhawUBEHA0qVL\n2cqKjIzEyZMnsXv3bgCi9SWtblNTUwOj0chKwGAwQKFQ4LPPPgMguk2rq6vZDep2u7Fq1SpGtc+Z\nMweBQIAPftIC4UBjehDNnfnz5+Ohhx7CqlWr8NtvvwEAo3OpT2VlZYiLi2PvBl1Dc2H79u3QarW4\n+OKL+Rkej4cPbXTIo36Qoqf0mKVLl0KlUvFh4/7778fixYsZcJiTk4OBAweyFb9jxw4MHjxYVoig\npqYGTzzxBPeNngmA08zo8+TJk3Hbbbdx4QS32w2ForEs3V+hmk6CiE7plE7plE7plL+DtNkVfCZL\nrLWuy7ZaT+cKSNRe67Wt7Tf3jNaOXUupTc0941zJGcBoHWKxNjQ0yNxydXV1MJvNAMScQpPJxMAM\nAkDQ6bx3796oqqqS8fBSEXDKjY2KipK5aVUqFVtvgOgStVgsMqCRVqvl07rD4YBOp2MLtWfPnrJY\nqMViQUxMDHw+n4zLt7q6mrlK9Xo9E/MD4oneZrNxfDM/Px/h4eFMzUjjQJYfJc+Tm9fn83E/qf3I\nyEjYbDbOVwwEAnC5XBxnqq2tRUNDg8w9bbVa2YUYERGBiIgITkOhHFcqbUfuQ6mbl2qVAqIVEBYW\nJgOJUFqKtJSdNJXJZrMhOjqa3aA+nw/Jycnnfd4FAgFeUJQyRIXHR4wYgeeee47ny5w5c/Dqq6+y\nRWo0GuH1emV5qEqlEi+99BIAsSh4SEjIKfsaWW933XUXli9fjlmzZgEQSfdnzJjBhPRNLUwqMyfd\nA6TWmCAIWLBgAVuTNC+kuARpvVbKCXU6nTzH6XopQQO1TWMgJdGnd5ZaiG+++Sb/zvfffz8MBgMD\nCBcsWACFQsGu3Ndeew1LlixhkBMVKqe5N3v2bNk7S93I9E70d6Axptq0Jm3TPZTae/311zFnzhzm\nU168eDFCQkLOH0FEszc3g0ylz03aa3sH/0dx2+ae3xpl31b3dVuRyqdr+0wHkuakja79DlGse/fu\nFSieqVQqYTabGUFJmy71t6amBiaTiReQVquF1+tFeXk5g1GuuOIKfPPNN1ydxOfzwW63szvyq6++\nwrhx49iluWvXLnTp0kUWI8vJyWE3l0qlQlFREZPTZ2RkIDU1lRmOcnJy0LdvX4SGhnIbdXV1sFgs\nrCgNBoMsIV+lUsFmsyEnJwcAsGHDBjz55JO8UQAiAIpYjsxmM/x+Pz8zNVUsfE3vuGzZMn4/OlBU\nV1dj/fr1eOyxxwA0HkoohhoeHo6IiAhZ0r7dbmcX48GDBxESEoLrrrsOgLiJ/fnnnwzauvnmm1FQ\nUMAbXlxcHDweD4xGI7uTCwsL4XK5+AARFxeHgoICdv3+8ccfGDZsGCtrl8uFyMjI8z7vbDabIAX0\nUF4w/XvYsGEcbvD5fJg6dSo+//xzAOI4jh8/nn+bYcOG4bLLLmMXfHJysizmqVKpuNoLtW+1WvHC\nCy8AAObNm8fFCQDRdUyuVUAEjYWHh/Mhig5YdHghxiRym1Leq5TQQiqEkLVarYwjICH2ptTUVFnN\nV0K1U1tUzUfq6vV4PJyL2717d14/gOiKXb58uaxeqlRuu+02LF68mOeu3+9nlDUgopT/qtULAHjj\njTcwY8aMUyr4SMMcwWCQXcULFy6UFaSorq5GdHQ0j9Ff3Mwdr1jPZE21ZMWea0XZWuXdFmuvpQND\ne/vYFvTwuVbmbenn6dr467sOUaw2m00gCzQlJQX79+9nGP+2bdtwzTXX8OZfXl4Oo9HICyQyMhJ7\n9+7FgAEDmKBbr9fDZDKx5RYbG8tFuAFR6UVFRbEi7tu3LwoKCngjpMVGSvH777/HqFGjZMXW09PT\neSPzeDwwm81cvBkQkZlDhw6VWQSFhYXMcuTxeBAaGiorGk6HCqBRyRExhsfjQWJiIm9IRUVF0Gg0\nvDEeOXJElq7x17hi165dnBaiUqk4TgiIm0lkZCSTVNTX1yM9PZ0VhMXy/+29eXQUZfY+/lR3utPp\ndPakExIgIUASwhpFdkEFGVFgVIYZkZFRGEV2HcaviKyi4MbmOqij6EdHUQZwAYdNkM2EHcJOErKR\nPeksvW/1+6O8l6oIpBMgM+d3+p7DOXS6uuqt7b3vfe5zn1uH9u3bI+lXIQ2LxYKcnBzOLZrNZoVQ\nRmlpKTp27IiKigo+j+joaGRnZyu69Fy+fJmdmCAIiI+P531kZ2dj8ODBt/y583q9IjmuwMBA1NfX\ns+PKycnB0qVLWTDigw8+QGlpKRYsWABAcoybN29muTybzQa1Ws1s39WrV0Or1SqacJPSEXBFuIOO\n3ziyCgwMRGFhIVatWgVAWpSlpaVxfpKcNjkpQRDw8MMP429/+xsAYMCAAQryksPh4NaJgNQG7/HH\nH4fb7eZzWrZsGUfKwBXHRNdEEKSSHXo3AgMD0dDQoGBHb9y4kd/TyspKhdOm+00R6xtvvMHjAqQo\nf+XKlZyHHjhwoKKxudVqxcSJE3lxQ9EnLWTpesobacjb2AmCgMWLF/PnGTNm8LYAsGnTJowZM8af\nY/Wb3/zmN7/57X/BbioUTH/79bfX/V2j4zS5v6vt82ZGljcr2vMlL+xLdH8zoOFrbe+rXWVMrRKx\nytvGBQYGwuv1YtOmTQAkhmZeXh7uueceAFJ+atWqVVxCsmnTJhQXF8PpdLJk4ZgxYyCKIgse3Hnn\nnSgqKsL8+fMBSDBS9+7dGcoLDAzEp59+yr0o7733XmRkZPDqVq1Wo7y8nCO5srIyPPHEEwyZkvB8\nXFwcR3+7d+/GX/7yFwXrUK1Wc1SdmJiIf/3rX7ziP3r0KKqqqji6JGiN5O7at2+P1NRUjih27tyJ\nhIQEbu6+bNkyLF26FKJ4Rarv22+/xbPPPqtY1RNMCEgR7fPPP8/R5KRJkyAIAn9fU1ODd955hyHL\n4uJi1NXVKRqdOxwOjqzGjh2LLVu2oH///gwD1tXVQavVKqDeY8eOcX3kpUuXUFZWxrBfaWkpevbs\n+V8RiKB7Fx0djaysLNZYXrVqFYuJ0PZ2u53vRW5uLtLT0/ndcblcyMvLY7GC+FE2BFAAACAASURB\nVPh4FBQU8DUgNObkyZMAJHGG2tpa3l6tVmPy5MlcE9rQ0ICamhq+Rna7nfWIgSulXIT6dOrU6Tfz\nxbJly/DCCy8AkJjYycnJMJvNnDemMdFvSkpKEBoayu/AI488gpUrVzI8PmbMGFRXVysEImw2GyMi\nI0eOxJEjRxhh6du3L7KysviaWSwW5Ofn8/MLXCljAqRnz2g0coSbmJiIp556StFYICsri0U8qFWf\nnJMgh4bFX8vM6Hu73Y7//Oc/GDVqFAApqr8RgQify22uRahR7MxHYpKvDqS5zqCpfcmtuYQoX6Dv\nqx3rasdpiqx0rf3eTGthnrdVHOupU6dEyrlR03FqSt61a1dYLBZWsaH8HdVFms1mCIKA2tpahk0H\nDBiAc+fOMWRZUFAAj8fDzvq+++5DTEwM51jz8vLQrl07hmlLS0sRGhrK0DHVdsqVd3Q6HRORdDod\nDAYD3G4350xjYmKwc+dOboYdFRWlILQEBASgoaGB850WiwUdO3ZU1PGdP3+eobLOnTujqqqKnftt\nt90Gj8fDykx33XUXPB4PysrKmOCUkJCAvLw8bhaQk5OjIETFxcWhQ4cOPJlZrVZYrVZeYHTu3Bl1\ndXU8+TU0NKCkpIQdgEqlQlVVFTtmnU4Hh8MBnU7H/VbpmtFzplKpcPnyZZ6QAwICEBkZyflFg8HQ\nKjnW5cuXi5R7XrlyJWbNmsVavFOnToXX6+XrGBAQgFdeeYXJSVRHTffGbrcjIiKCyUczZsyAw+HA\n+++/D0CCNdPT0xl61Gg0WLFiBYsfeDweOBwOBalMvn9BEDBv3jy88sorAK40ZpcTjDZv3szP3oMP\nPoh27drh8ccfBwD861//Usw1Xq8XTqcTbrebnf3s2bOxfPlyLnfZv38/7r33Xh5DfX09oqKi2DmP\nGTMGffv25fv69ttvY+LEiazC9dJLL8FgMHDt7+DBg/HLL79wedi8efMUeWiv14uysjLmCTidToSG\nhvKzSXXAcnibypLoGsgbFSxcuBBLlixR3PONGzcyX0AQBCY8AdJi5r+SY+Ud3IAzaC65qSnn3hLH\n6us4m4o6fbkON7ooud745HYj+2kiim4Vx3r58mWRcnIulwsmkwnffvstAEk96PLly8y2PXbsGHr3\n7s2TfV5eHgIDA6FSqXhiW7NmjaL7yGeffYYDBw5wjd2cOXPQqVMnhah+RUUFtm3bBgD46aefMGfO\nHHYYZrMZJSUl/PnNN9/E+PHjudPH5MmTodVqERAQwOO22+147bXXeGKJioqCKIrMErbZbDhy5AgG\nDRrE511YWMiTZUpKCoqLi1mBKjIyEoMGDeKJa9KkSQgODmbG7s8//4yhQ4fijTfeYGLQAw88gIiI\nCF4wmM1mzJ49mwv/Bw4ciIyMDGZcl5eXIygoiBWsXn75ZeTm5nLu9rPPPoPL5cIf//hHAJLYw/Ll\ny3mySkhIQHZ2NkejwJWWa/Ko+aGHHmKx99tvvx21tbV8f9PT02+o4bSv5nK5RLlj8ng8jEB06dIF\nDoeDlZbS0tIQERHBBCzKNdLrsWHDBowfP16Roz958iTXnVITcIowqYk5OQ1aTNJ4qHEC5WiJkU45\n/wMHDqB///58fEEQcPbsWXbcnTt3VjB+ASiIcyaTiXPgK1asAABMmzYNOp2OHWl+fj50Oh0/r06n\nEz/99BOjPHq9HpWVlbw4zczMRFhYGD+PRKiicxRFEZcuXWI1Kup2Q+eoVquxadMmRqKIWU4SoWq1\nGgsWLGByFDWUIESooaFBIY9I4hDyBZ08p2swGPDQQw+xwpZer7+h+c6fY/Wb3/zmN7/57SZakxHr\nzcg9Njf31zj6a0kZia9jag7EezPtRqPgW8WubiI33CoRa2VlpSjP9Zw/f56Fyk+fPo1u3bqxQHpI\nSAhKS0tZkBwAl2/Iez9aLBaGuQAo+qtqNBrExMRwXWp8fLyCQVhTUwOVSsXHyM7ORnJyMuePIiIi\noNFoGLZ1u92IjY2Fx+PhMiGv14vCwkKGo8PCwlBSUsLXncZHxywuLkZsbCyXUJAsIzErTSYTQkND\nOQ+o1+u5TpXGFBkZifLycs5D6XQ67Nu3j9VmHA4HRwCAFKknJCTwmKurq5GYmMgKVsnJyUhISOCo\nxGKxcM9WGsOlS5c453r58mUkJiYq6nNFUdLJpd8EBwejsLCQITiv14vExES+d2azGUlJSbf8uXO7\n3SKxaFevXg2r1coRpdlsZmgfkKIlEnUHrjBkp0+fDkCqgWxcJw2AI/8XXnhBUfP56quvYseOHdi6\ndSsAqY3ct99+y03E33jjDVgsFh4PMYrp2aF2Z3KY3e128/u7ZcsWjBw5En369OH9z507l6Hu6upq\nzJs3TyGzSNCyvORMXvvqcDgUsoBer1ch2el0OiEIV5rDHzlyRAEVm81mbNq0idGOwMBAzJgxg9MU\nU6ZMQVFREUPBixYtwooVK/ia0vWn/dPY5cxreR3rr/eYxxcZGYnp06czz+LNN9/Eiy++qNDyvhGk\n5Iah4CYPcBNzqPQbsqbyks0h+LTUeV8Lnr7VDtqX8purbXuDx2wVx1pdXc01hYIg6dXKyUwk0ABI\n+c+oqCiut+vWrRucTidMJhNDmp06dcKpU6fYSQUFBcHj8XDONDMzE126dGGHUVFRodC8JT1bgst0\nOh2qq6s5h9WjRw+EhIRwPoocSkBAADtfvV7PwhEAWN6NJq6goCDOrwJSLW2/fv0U2q3nz59nnV6a\nUCivS/kmgisHDRqE+Ph4OBwOzm+Wl5dDq9UybE7CDOSMtVotysrK2LnHxcVxrou2v3TpEjfcdrvd\nqK2t5evcuXNnVFdXM9QcExODhoYGhIaGMixXU1OjyI2R0D852vPnzyMuLk4hEn8jDad9NbfbLcoF\nB+SlJvR/+p4mdbrfISEh8Hq9WLx4MQAptRAUFKTIyS5YsIBzfFqtlhdG9L28TAmQ7i8RdQ4ePIg9\ne/Zwp6Pf//73GDVqlKLmcsWKFVyjKQgCnnrqKZBE46+6t4q5sl+/fsjMzAQgpVfee+891uGmMQHg\ne6vT6XDXXXfh559/BgA888wzDBsDEtmuV69eCucul2lUqVQM99L3jZuvq9VqRR2qvCTowIEDuPvu\nuzFixAgAUs9aeWcmatzxpz/9CYBUQqRWq3n/jQUlBEFQONrGzeZ/HfP/rmNVHOwaE3xzGLWNt7+R\nsVztmE2NuYWkn+uSlW6S02uRc73WwuS/GbHu379fJAeSlZWF4cOHM5klMjISXq+XnVBoaCi0Wq2C\n2KHVapGbm8s5LWp6ThFrQEAAgoODuZ1aamoqNm7cyEo1hw4dQs+ePdlBaDQaJvIAksMxm82K1b3H\n42EB8Pr6elRXV8Pr9XKU4XQ6ER8fz4IOYWFhCgEJg8EAURRZdEKn08FoNCpUk1wuF5OT7rvvPmZz\n0nmTMAad04kTJ9CjRw/uZmMwGHD06FFeUJhMJnTp0oUneJvNBp1Ox2NSq9WoqqriSP3o0aOIiori\nBUpsbCxyc3P590ePHsWQIUMU91Kj0aCqqopzppGRkTh27BhH7iqVCr1792Z2tM1mQ3R0NEe4x44d\nw5AhQ275c1dXVyfSvaqqqkJcXJxCxYcmegA8YTd+X+i66XQ6TJw4ER9++CGfoyBcqSPdsmULhg8f\nzvelc+fOWLt2LZOLiAxFTmXJkiVYtGgRj0c++dNnuSCEKIoK0X+NRoNnn32WHWFUVBRqamoU777D\n4cDf//53vP322wAkZzxz5kxmeFdVVaFNmzb8mYhedAwSjCBn/vTTT8PhcLCS0uuvv45169axXjLp\nXMvz0PLr6XK5oNVq+R2kRgbkeFesWIEZM2bwwpUWxWR9+/bF/v37+Z0NDAxERUUFdxDyer149NFH\n2fF/8MEHmDJliqJz042Q5vw5Vr/5zW9+85vfbqL53I/1atFVS8prWmLNgWl9zdnKt7ne/nyBdps6\nv2vto6WReUuu6bW2byrP2/jvrWH79+9n2LW0tBQ2m43hSVGUFFYokouOjsbFixd5++LiYqSlpWHX\nrl0Mm1ZUVCDpV8k/2qder2fYtF+/fvj6668ZagsPD2dtXgAoKipCt27dePUcERHB0BYgQaw6nY63\n1+l0qKqqgt1uV3Qo2bp1K6+4u3Tpws2bASlH5Ha7+TwCAgJQV1fHzNQePXqgoaGBI9KqqipERkYi\nOzsbgMQaNplMfM6AVE5D7EoAmDBhAurr6xVSfa+99ho3V1er1Wjfvj0fg5ik9Lm2thbdu3dn6Liu\nrg5nzpxhVnFERASys7O5C1BtbS2Cg4NRX1/PDNZt27bh6NGjzMgeOnQoysvLsX//fgASlF9fX88w\nKv39VpvJZOJ7Yzab8dhjj7HSkiiKuOOOOxgGJQSDYE/SRCb5vQ4dOqBnz56K/B7VLQMS81mtViPp\nVwUrURS5bAqQorvJkyezDu9bb70Fr9fL76BKpYLL5eLnde3atdxmDZAY4Xa7nZWgDh06hBdffJHv\nO+XQ5e+4RqPB6tWrOSreuHEj3n33Xf5MTcypfpc4CBQlE3ozevRoABLyYDKZsGbNGgDSOzh27Fic\nOHGCv7/rrrv4nAIDA7Fq1SrucUwIAJXjDBgwQMEqHjRoEFQqlaIGm+qyAQk6lpcPFRQU4NChQ9w7\nOCkpCW63m1NITzzxhELvm2D+ltp1HWvjybUxfOkLnOmLA7iWg/HVifnigHx1pE2NsSVG42i8KGnp\nMX2FzJsaU1PHanz9Wsu59unTh18Y6sNIDiY9PR0ej0dB8unUqRO/4Onp6dBoNBg8eDA7wqioKNTW\n1jKEGRMTA51Oh4yMDN7HiBEj2MmVl5ejbdu2fL6pqan84gJXnB5NxNRSTN4ajWpZ6TeXL1/Gvffe\ny7W14eHhMBgMDFXRJEVkJIPBAKPRyHB2TU0NPB6PImd7/vx5bmIuiiLCwsI475uSkoK2bdsiPT2d\nr2VAQAB0Oh1D1jU1NXjuuef4M00mRJASBAHFxcVcdL9r1y6cOnWKv4+NjUVcXBwvKC5cuIDf//73\nfC+MRiND1LQA6NevH9xuN+d5i4uL0a9fP27ZRzXBlFumY99qCwsLU+RQP/vsM/zzn/8EAPz1r3/F\noUOHmHz03HPPQa/XM4xJ9ZNUiuLxeHD27FkF2UlOtPF4PFiyZAkeeOABAJKjnTVrFr9rHo8HISEh\nXL4FQFHHOmbMGKxbt04hMD9hwgR2YhcuXMD06dN5ATRgwIDf9CJt3KuUcpy0WHjooYfgcrl4THV1\ndVCpVLzgoXdJnqMMCgrixce4ceMU8HdhYSHKyso4rTBo0CAuwSGbNWsWb2+32xEaGsqLtO+++w4j\nRozgHOvGjRvhdrv5fUhKSoIoigpZQq/Xy8/mjh07MGzYMJYtNRqNiIiIwPbt2wFI0PXChQuxbNky\nAFcWCi21ZudYr8fYvdp2N5ojvVnkp+s5kusRoHzdd3PzsDeb1OXrsZqbz5bvA008LzfLHA6HePz4\ncQCSw6HGzoDE3lu+fDl++OEHAFKhudls5hyLTqfDP//5T0ybNo1f2uPHjyM1NZVf+r59+yI4OBjL\nly8HIE2Ubreba06HDRsGURS5/tNqtXLzc0BSNXr++ed5ogsJCcGBAwdYDYoi1fLyco4OzGYz+vTp\nw2Sj0NBQ/PLLL5zzCQoKwsiRI3niat++PcrLy1l8gfpvUg42PDwcmZmZzPDNzMxETU0NxowZA0Bi\nRtfV1SEuLk5BgFqzZg2eeOIJANJkk5GRoYhKUlJSOPeXlZWFvn37srNXqVTo2LEjTzoRERGoqKjg\nWsTJkydj8eLFHHVv2LAB48aNw2effYbPP/8cgNRcYOvWrejRowcAKbr6wx/+wP12e/fujcTERI7+\n9u/fjwkTJrSK8hItLNRqNXbt2sWKVZMnT4Zer2dlJFrc0SR+zz334JNPPuF8NwDFQuyXX35B3759\n2RFmZmaiX79+/L4VFRUhISEBs2bNAiAJxBO5h6yuro4XbpRDJacSHR39m/zk559/zu/EggULcPDg\nQT7+Tz/9hC5duvAiLy0tDW63G0FBQRz1ajQaBaJis9kQEBDA1+D222+HyWRiR9W3b18WmQCkOthP\nPvmEx5STk4OOHTsyEY7quGmbyZMnw263MzrSpk0bWCwWnq8MBoOCSU05WOJeBAUFKXroZmRkID8/\nn/kEWq0We/bsQf/+/QFI1QW9evXi3H9sbKyCVXz27FlkZGT4c6x+85vf/OY3v/0vmM8Ra0uZrL5E\nZjczl9ic41/t+5YwdX2NRpuK4n3JVzd3bE2NpymkoVGE2yoR6/nz57lt3MmTJxEdHc3QE7U127Fj\nBwBJ95daPgFSTV5QUBBqa2sZRqWSHYLG8vPzERERgcmTJwOQYKaDBw9yFGW322E0GpnlmZubi86d\nOzNUqtPpIIoiRySky0pjjI6ORn19PcrLyzmndNddd2HLli3o3bs3ADBsSJeU9kljDA8P57IfQIoO\nAwMDWcoxJSUFRUVFDHd36NCBc6CABIOdP38elZWVvI9BgwahpqaGI5c9e/agsLAQd911FwApik5K\nSmJ4urq6GlqtFoQeDBgwQBFJuVwu2Gw2jtT+85//IDY2lq+jyWTiMiOCgjt37syRPiBFdkajkaPk\n3r17w+v1cis6rVaLlJSUW/7c2Ww2kSLx9evXY9SoUfj73/8OQJLnE0WRo63Y2FiG/+k6qFQqZgFP\nmTIFwJV76/V68fHHHys6v1DPX0C67k899RQ++ugjAODnQK7M1LhURBRFZrQGBAQgICAA48aNAwB8\n/PHHzOIFpPxiXFwcR8TE3KV8qFar5fIUujdUl0rnQDlVkmX885//rPhMnXzoWXM6nThy5AgrM7nd\nbgiCwBGp1+tFVFQUR6CkCS7vcnTo0CGFapc8nUalNhR16/V6GAwGzjt/9NFH8Hg8zMUIDQ1V9Kh1\nu90IDAzEzp07AYA1uVeuXAlAiriDgoJufbmNL5Dv1SDHRvu7IUJUcx3t9cZzvWP64nCac1xfxnC1\n31/PyTVnDE1tR/tsChJvLce6b98+Ud5Mu6amhskvJBROMF2HDh2wd+9ehnCSkpKg1+tx7Ngxzs+l\np6ejqKiIJ6LMzEzY7XaeKP/85z/DZDKxUwoODmbyESBBZ2PGjGEINCAgAHa7nWHZlJQUCIKAM2fO\nAJBKSkhrmPpXTpo0CcOHD8d7770HACyhSOQKlUqF06dP8xi2bt2KoKAgloTr0aMHMjMzWSjDZDIh\nPj6eC9z/+Mc/KmDZyMhIRERE4OOPP+ZrRVKDBFnn5+dj4sSJrF88aNAghIaGcl4qNDQUqampXAby\n8ssvw2w2MwHk9OnTKC8v5+tsNBqxevVqbhButVrh9XoRExPD4967dy/atWvHzjkxMRFfffWVok+t\n0WhUQHRdu3a95c9dbW2tSAujp556Cl26dOG2a16vFx6PB1lZWQCAO+64AwUFBXwONTU1sNvtnA/M\nycnB4MGD8c033wAA7r//ftTX17MT2bNnD0aMGMGLrn79+v3GqZWVlfE1oXIduWA9jRWQIPx169Yx\n8YfemTfeeAOAJDAh5xi89dZbmDlzJr/vBw4cwIABA1BUVMRj3L59OyZNmsSpCyIG0WJiw4YNuPfe\nezmn36VLFyxfvpyfx5MnTyIlJYXPURRF9O/fn9/BqVOn8nMFSNDtiRMn+Pk3GAysYQxIi5ewsDBe\n3FosFkRFRXFOuLi4mHsUkwUGBioaSAQHB3PJ0Zw5c3Dq1CmeA/r168c18oC00NXr9a1fx+oL+7bx\n31saqd1Mu1nRZEtzlf8ta8op+xgxt4pj9Xq9IuVOvF4vHA4H53aSkpKg1Wp5Nb9jxw6MHj2anUf3\n7t1x+fJlGI1GVhVKSUmBWq3mz7GxsbBarUzaMZlMMBqN7OQ0Gg1KSkp4dR0bG4vg4GCurSQlJppk\n8vPzkZqaypMGrfapRyUgqTXR6p22kdfjRkZGoqysjHNCHo9HkTum3pJUe0t1oBT55ubmwmAw8O+J\nASnvA0p9Uek+k1g8RUM2mw3l5eU8uUZERChqcevr63Hu3DkmGlmtVpjNZhYVKCoqQtu2bdkpRkVF\nwWw2Q6VScSRDkT9d6/Lycng8HhaIoEiMvv+V6dwqOVZ5TtPr9XJE+fbbb2Pu3Lkc6V++fBmPPvoo\nnnzySQAS21oewX711VcsVACAa54pups2bRrnCIErjpPuE6kIyZuAu1wuBSuYerj+OnbFwpjqqqm7\nEy2kZOeKuXPnsoi/0+lEYGAgRFHkyPOdd95R7POnn37CwIED+TeLFy/G22+/zaiPVqtV6HHTfEKL\nBToXusaNPzudTkUOVRRFPg+6hmFhYby9x+OBRqPhdy4wMBB2u50d7csvvwy3240XX3wRgJSDlUf+\ns2fPxrJly/h4NBY5wUyr1fpzrH7zm9/85je//S9YUx5ZvB4M6Uuk1twca3Nzor5aS/OT1/r9je6v\n8b5vZi75ernrlp5Ha7KC9+/fLyb9WuO3Zs0aPPnkk9xbslevXnA4HNzKrGPHjoiNjWUIx+v1IiQk\nBDk5OVzSUVNTg5iYGI4OvV4v2rRpg0ceeQSA1KVl7ty5WL16NQBJ1/SOO+5gZqrb7UZ4eDjnATt2\n7Aiz2cw5rMrKSlRUVHAUKQgCTp06xfkdQILSUlNTOQqOjIxEeHg4b2M0GiGK4m+OQWN2Op1ITExk\nqG3hwoVcQkDfNzQ0MOQqiiI2btyIoUOHcqlSp06dUFJSwvnLXbt24eGHH+a+niaTCQaDgaNLynWS\nfmthYaGinrJdu3bIz89nuHrmzJlYunSpIveo0WiQm5uLTz/9FADw2GOPISsri+ttT5w4gdmzZ/P9\nTEtLU7RM++WXXzBu3Lhb/tx99dVXIjGqq6qq8Morr3B0FhISgocffpjLWdauXYvZs2dz9EQsXWI+\nT5gwQSGX53K5sGDBAi7lIPSB0AyCOAmqpTIXyoFu2LCBZTgBcHszinAJUaB3wOFw4NChQxgwYACA\nK31yKZojHWN5tOZwODjPCUgR33PPPcdQam1tLcLCwhg6jYuLgyiKDL1SmkSO8litVkYenE4nrFYr\nb0+62PKSJDliQLXBlI4ho+O8//77mDp1KkPDer0eI0eO5GoBQZD0m+URc3FxMedkg4KC0Lt3b0Xa\nQ/5snzx5EnfcccetgYJxHTTYF0i1JXk+X47R+Pvmwpw3QhTypZTmer9v/P31tmm8/+v9piUlQ83N\nZ7cWFLxz506RJgGj0Yj6+nomxJCGLpWAtG3bFnl5eZxb9Hq9uHjxIoKCghS6oz/++CPDc6GhoRBF\nkfNH2dnZSEtL45f4zJkz6NWrF8OsLpcLu3fvZuLR6dOn0a5dOxaYGD9+PFwuF08iJIkoilfaYNls\nNjQ0NPCY4uPjUVVVxU7M5XIhISGBW9X9/PPPWLZsGY/J4/Fg7dq1nEdTqVSorKxkeDIsLAw2m40l\n47Zs2cLwGU0mFosFw4cPZ9jcZDJBpVKxnGB4eDi6d+/OkyM1i96yZQuf1x/+8AfOqUZFRWH37t0s\n03jHHXfAZrPxvcjJyWG5QoLY1Go1duzYwYLwSUlJCAgIYPj4u+++w4wZM/jZO3HiBO68885b/txt\n2bJFJEdEgvPk6L777juMHj36N7AjlW4cPXoUa9as4ZwhvSZyyUK5WMRf//pXvPrqq1w+4/V6cfjw\nYYbYtVotRFHk6xoZGYldu3axRjOlHuRygPX19ZyqGDlyJL7//nv+/u2338a0adMUCx4S7qfzOXr0\nKHJyclgU3+v1YtasWXxOlFd/8803AUiShvL+pYIgKJwjwdf0vU6nw/33388lbYIgwGKx8Jj0ej1c\nLhdzEiZMmIDCwkJObZjNZkRGRiry1BEREZzX9nq90Ol0vLgIDQ2F3W5XzIvyBhFBQUEQhCsylFVV\nVZzTBqS0R3h4eIufuyYFIq7lIK41ITdF2rmeU2qKtHOtffia/2xq7L5s4yPJx6f9++qnfB2vfH++\noAnXuxf/zTxx586deSUZGxsLvV7P+alBgwahqqqK83rvvPMOHnvsMT73wMBAaDQaxMXFMatz2bJl\nSE1NZcdnt9tx4sQJDBw4EIDkWAcPHsx1gd27d0dZWRmvfhMTE5GXl8e5KoosSWBi8eLFeOmll1jH\n12w2M7mIVvzLli3DlClTeNyCIMBgMPAK3Ol0Ij8/n52WVquFRqNR9NDMyMhg0YK0tDSO7gCgpKQE\ncXFx7LA+/fRTTJo0CSqVihnTdXV1mDx5MqsexcXFwe12c9Sg0WigVqsVnWhcLhdP+FVVVTh//jxf\nh4KCApw6dYrZ13FxccjPz+d8eHJyMnJychAdHa1guKanp/MEZzAY8MUXX7BK0J133gmHw8FjkHct\nupU2bNgwjkinTp0KtVrNqj/33HOPgriTnZ2N9PR0HD16VHHe9L3FYsHTTz/N/YBJkOH7778HIDFW\nL126xPdl8uTJeOutt/heFhQUoLS0lOuo6Zmh6CwhIUGBVvz73//GkCFDWKmJFkK0SJs2bZriOWqs\ndWyz2dCtWzfEx8fze6RWq/HOO+9g7969AKTnS97PlLgPlJN9/fXXUV5ezugGID1P9GxlZmYiLS1N\nMY6goCAF21mtVrMj93q9OHjwIKt6lZWVwWg08jUix0nvzz//+U+MGTMGr732GgDpnZSLcoiiiDZt\n2vD7SD1yCdWiiJUWQPImEC0xf47Vb37zm9/85rebaM1iBd/MUpir/eZm5C1vFH72dR++lB81ZzxN\nHcuXSPla28sj95aymVszx2qz2UTKqdpsNlRUVDBcGRYWhv79+zNcee7cOdx///1cexkTE4NDhw7h\njjvu4IgjMjIS0dHRzApu164d3G43Rxzdu3eHTqdT1JBarVaGiil6Ihbx3r170bVrV44kjh8/DqPR\nyAxeeT0e7ZMgThontZSj/GdUVBQCAwN5BR4dHY26ujpmWdbU1MBoNHL3p9TjawAAIABJREFUkd/9\n7ncoKiriFf3Ro0cRGBiogMwTEhKQkJDA99xisSAnJ4ch7oKCAvTq1YtX9SaTCSEhIXze9fX10Gg0\nDFkWFhbCbDZzSQT9jXK07777LiZOnMi5w4aGBsTGxuLixYscPb344os4fPgw56OPHTuGtLQ0Riji\n4uIUsnTZ2dkYOnToLX/uvF6vSLC9x+PB/v37QXn+oKAgxMbGMmx46dIldO3alWFOqkml62Q2mxlx\noM8LFy7Eq6++CkCqD/7kk0/4Oi9ZskQBq8r7ntL+y8vLWdFKq9WitraWtYwJOpe/v1THDEilWqNG\njcJ3330HQIKC5d2Z3nvvPcyaNUsxBrVaze3mgCvlLHRvY2NjsXHjRo6iJ0yYgO+//55Lt+geEjRs\ntVp/A9UKgqDIsbrdbkYNnnzyScycOZOZ9L/73e/4XQCu5GBpnkhISMDChQu5h+3MmTOxfPlyfv9i\nY2OxYcMGVirbt28fSz3SeOXR8/bt2zFixIj/jXIb+vuvv23pmK55nNY65tWOfzMJVs0db0vPrzlO\n3pdFTmvlWOvq6kQ55EMC4ICUc6PyF0CatORyhBMmTEBxcTFEUWQHYjabUVpaykIHQ4cORWBgIOcC\n9+3bh5iYGHaMbrcbly9f5t8bDAY0NDRwfodearm4vZwMcubMGXYc8mboRHIBrgi5E5EoOjoaNTU1\n7MQ3b96MPn36MLQmiiKKioo4p2S1WhWTaXl5OVwuF5NLOnTogPj4eKhUKs5fXrhwAQ6Hg0kxdrtd\n0RydHApB5j179kRERAQvYkwmE+rq6rhoX6PRoLa2ln8fHR0Nl8vF5+R0OhEREQGTyYTU1FQet8vl\n4vNUq9VcFwxIC4L09HQeQ1lZGdLS0m75c+fxeHi6I3IP3at3330XkydP5s8ejweiKCI/Px+ARDSj\n5xWQJmmPx8N/KysrQ/v27XniJkdMjo1yqtR4/Mknn8SQIUNYgpNqWOn3Z8+eRbdu3RTjlzdmB5RN\nvcno9aX6UHKapCN88eJFJpWlpaWhoKCAe8guWLDgN3OH0+lkQYXJkycjODhYsShyOp3cREGr1WLg\nwIG/cf70uaKiAhqNBgsXLgQgLV4PHz7MjtfhcCAiIoLPwePxwOv1KspzVqxYweIcGo0GH330EX+m\nY9E9TEtLw/nz5/n427Ztw/r169mx/yrn2DqOtbkkoJY6wpZGk76QmW62c74Vdau+EqSu9b2vi4Hm\nkq5ay7G63W6RND979uyJ7du380r68OHDmD59Ok8Ke/fuRUZGBq/mNRoNtm7dipEjR/IKPTk5Ge3a\nteMIgTri0ORUWFiIDh06YNeuXQAklaSTJ08qIla32835z5deegkTJkzgY65btw5jx47l3KVGo0F4\neDj0ej1PhosWLcK8efMUEcHZs2c5AqioqIDRaOS8rdfrhc1m41W6SqWC2+3mMYqiiIyMDI6ijx07\nhujoaJ4YP/vsMzz66KPcexaQmJ0///wz90wNCQlhRwdIjrZNmzbsiPPy8hSKUzSh06KhoqICp06d\n4hxsdXU11Go1R+XElK6srOQxdO7cGXv27MHtt9/O1+HEiRNMFAoJCUFUVBQ/h5mZma0SsYriFa1g\ng8GAn3/+mRc1OTk5WLNmDRNrKisrFUQaQRCwZ88eDB48GIDkSMPCwthxPvfcc3jzzTd5AaLX65mF\nC0iKVffddx9fN2Lwbty4EYDEpN6zZw/nzzUajaIX75IlSzB37lyFyD4AJq3J8/qAhFzs3LmTyXjB\nwcFM6JOTj+RWUVGBixcvom/fvgAkxKW+vp4dqU6nw8WLFxXMeFoQ0O+NRqOiObsoipg+fToAieXr\ndDr5WVuyZAmWLVvGrPmIiAjodDp2tLt27cLQoUOxYMECAJLjX716NdcWv/jii3j99dcVyk7ffvst\nLyoBacFNalkzZsxQLERMJhOioqL8dax+85vf/OY3v/0vWIuh4FthvuY2bwSGvdY2jfOXzS1fuRkl\nP82sKb3m/pqK6psa57W+b62ItaioiPNdWq0WpaWlXCt54cIFdO/enXOTHTp0QE1NDTMsBUHAhQsX\n0LZtW0WnjuzsbN5HaGgoR4yAtPpOSUlhyLO6uhrt27dnaNhutyMvL4+ZrDk5OYiNjWVJw759+3J/\n1F/Hj/bt28PpdHLuMCgoSNHxJDw8HNXV1azuo1arERsby905CgsLMWrUKF7hNzQ04PTp04qIITc3\nlxWLCE4lGb2pU6fC7XYzI5XOY8WKFdz+LC8vD1FRUQzdBgcHIykpifNg1dXV0Ov1OHjwIABphZ+U\nlMS1siEhISgqKlKUDEVHRzOTt7i4GJ07d0ZRURH3G6WOInS/XC4XIiMjuV63qKgI/fv3V/R8bQ3l\nJafTKcrLV+TqT6RyRHA1RU7yCMdmszGTlOohCcEICQlRRIBWqxWffPIJR2tOp1PRSYa2pdKW2bNn\nw2q1coRrsVgQFhbGMOd7773H6knAFTY37WfRokVYuHAhf3a73Vi9ejUjFc8//zy2bt2KhIQEZskK\nggCPx8OoDaEIdF/mzJmDFStW8LN15swZLjEDgHvvvRfbt2/n7+vq6hAVFcXXUKPR4IMPPuBOSzqd\nDl6vl8ekVqtRVVXF72Rubi4efPBBPofXXnsNM2bM4K5IjzzyCLRaLcPvOp0OTqeTmf0PPfSQQplJ\nFEUEBARg3rx5AMDtE+XKTjeivHTdcpvWsmuV1/haIiL/rrmlNI2dUHPKYOS/b8pp+gKhN4cYdrX9\n+QKBN3V9/ptlNmQhISHscGJiYmCz2RQ1eG63m2vO6EWk9mxRUVHsTOQOxWg0MswUHBwMi8XCk0hB\nQQE8Hg9fv+TkZNTX1/MYRFFUlAZQyzAak9VqRVhYmALmBaRFgbzXaUhIiILuLwgCv+gkoUfOn2rs\n6PfR0dFITk7m35vNZiQnJ/P5W61WqFQqDBo0CMAVspPH41EQqbp168bnkZQkCe5TWzmNRoOGhgae\nTL1eL4KDg1kIw2azISoqisckilL/S1oskNABwdsE7Xm9XvTs2ZPPKygoiH+j0+kUQgIGg0FB3pEL\n9t9Ka0wWkj8P9BzJHRcARcP4xu8o1VXSdvLylq5du+LcuXP8ef78+Vi2bJlCgB64ImxPx3zssccA\nSNrD48ePZ93pxiYIgoKItGjRIgiCwO9MQUEBrFYr/t//+38AJMdqs9lw//33Iz09HQBYXpBy4YIg\nKJq/r1y5El6vl8lCCxYsUCw2duzYAVEU2XE9/fTTiIqK4mvi8Xi4HIyul8vlYoLX/PnzYTAYuF59\n5MiRUKvV/BwdOnQIc+bM4daPpOcsd+ybN29mfWw6J7rPBFMvXrwYgAS/y+dQuVhFS+yGc6yyba/6\n+VbkYFtiNysa9OU4vka414swm5vP9nVsZFdbQPgQUbdKxOpyuUSKogDg4MGDHKmtX78eDz74IL9w\noaGh0Ov1LNYwduxYbNu2DUOGDGEHcPbsWSQkJPBL+MgjjyA6OhqHDx8GIHVUqa2t5Uk8OTkZpaWl\nXJyuVqshCAI7nCNHjuDOO+9kAYCuXbsiJyeHJ6Wqqiro9XqYTCYmuERFRaFz586cR9NqtSgsLOSc\naXp6OoKDgznqJQIVFebX1tbCaDQyOclgMCA3N5dzsvv27UNtbS33Yz137hz0ej0iIiI4yqitrUV5\neTnn1o4ePYqOHTuyc6+pqUFeXh5HrOTMaUECSLknecRqsVh4zO+//z7+/Oc/c6R2/Phx9OnTBz/+\n+CPnbf/+978jPz+fnfWhQ4cwdOhQjtT1ej2ioqL4Op06dQq///3vWyXHSggHjZ2u7dmzZ7Fu3TrO\ncQ4bNgwrVqzA2LFjAUh54+PHj/Okr1arYbFY2Ins3r0bBQUF7BirqqoQHR3NjvSrr77CX/7yF0ZY\nyIHT6+Z2u1FVVcUIis1mQ3BwsCJn6/F42Em53W5s3ryZO7aQTi7tz+FwoLCwkFnDlZWVGD9+PERR\n5PfovvvuU7CCKQKm+xISEoKtW7cyQzw+Ph52u50dl1qt5sgZkGprH3roIfz73/8GIDWEEIQrzdsP\nHDiAtLQ0XnDNmzePmwgA0iItODhY4YjVarWi2xM1HwCk9+3MmTOcX46Li8PKlSu5//GUKVNwzz33\n8LP9wQcfYObMmbwYMZlMaNOmza0nL7XECV7ru2tN8C1xHL467+ZCuy09Xkv3Cdw8ucSWQME+Mplb\nxbE6HA5WXvrwww8xYMAAdoJjx45FSUkJr5y7deuGESNG8Atz2223cdkIQWtBQUGw2+34+uuvAUgv\nWb9+/XiiysnJQVlZGTvvI0eOKEpK3G43goOD2Zm3b98elZWVvH+DwYCtW7dy+zVAcmJ5eXlcrD9x\n4kTFxECkIur+kZGRAavVqvhcXFzMUO/hw4cxZMgQbi02ZcoUvPDCCxwxFBYWor6+ngk01H3HaDTy\n5BUUFISQkBBW9JkyZQree+89RXOBsrIyJsVQxECwbXh4OD766CMu6enQoQOCg4M52uzXrx927typ\neNc8Hg8uXryIe++9F4AULanVakYDpkyZgi+//JIXIATtEwIRFxeH2NjYVnGs9P9z584hMTGRFzFJ\nSUlwOBw8ZpfLhfj4eJ7EIyIisHTpUi79+Mc//qGA4M+dO4fq6mqWGFSr1XA4HAyLhoWFoaGhQdGx\nRhRFflZI4H/ChAkAJPEPQRD4PkZHR0MQBEyaNAmAFE3abDYuzaKIle6LSqVSSCh6vV40NDQgNDSU\noVSNRoO9e/cy0e3MmTPo2rUrtm7dCkBaXDgcDl4M0CKWnD0xnekciHxHi4lnn30W7733HkfN3bt3\nx/jx43l7kn2kz5R+kXeDEgRluU6j+8kLEPoMQFHSFBgYqFDTkstEPv300/i///s/P3nJb37zm9/8\n5rf/Bbul5CVf6zllx1P8/VZEsI2P21zYtql9XisSbAravd6YfMmhNnfMLSzpaZWINT8/X6RoEpAg\nS9JlJUINRYIPPfQQPv/8cy78Pn78OHQ6HQICAhhupFZplP/Ztm0bLBYL1w3u3LkTVquVyUg9evRQ\n1Plt2LABo0eP5lVxTU0NwsLCFM9rSUkJR119+/ZFYGAgKioq8MUXXwCQyETx8fEMhXXq1AnFxcUM\nqxJ5h6JFq9WKixcv8hhuv/12lJaW8jkVFhbCaDSybOPMmTNRUVGhiFgdDgdeeOEFJl3NmjUL1dXV\nnGvLycnB3XffzZDmgw8+iCFDhnCZBpXSUJH+7t27FcLp2dnZCAwMZAjc6XRi1apVPKbc3FzExMQg\nICCAz6OkpETRNCEmJgbr1q3j6P93v/sdAgICGIHIyMhASEjILX/u5CgJAI7gADDMSk0ZEhIScOnS\nJS5tqq2txbZt2zBy5EgAULR8A6TnY+/evRxt9ejRAxqNhp+fd955BzNmzFCMp6SkhFMRNIbGURld\n53nz5iEsLEwBHZ85c4ZRF0EQsGXLFkYNKJKjaE0QBCYPERnogQcegMFgYLRDo9Eo3gnSvaaoOzw8\nHB07dsTFixcBSByACxcucFnVM888g9WrV/MxSeSCxhweHg6Px4Pt27cDAIYPH66QGJSXCgFSxCqv\n2y0sLET79u15PFqtVhGlz5s3D0uWLFGUEx0+fJjfhdjYWAiCoGg+r1KpWgcK/vVv/Lk1iC43cpyW\n5DvlfwOuD2Nf7fvWsFt17Zu6Dq3lWK1WqyiHlBoaGhT5IbkKDuVe5J07KisrERUVxXAi5QLpRSSR\ndXIQVqsVRqORSTcEYclhrPr6es4llpWVITQ0VEE2kU+mNpsNer2emZWAlMcyGo18Hmq1Gna7naEz\n2oecYUtELPpssVh4f3q9Hna7nSd/u90OlUrF5xwWFgaDwaDQZrXb7cjJyeH6TIfDwTA5mcFg4MmP\ncmaUV6urq4NOp1PURdbW1vIxnE4nDAaDAsKkXCBd2zZt2qC6uprhZ7fbzUQSOiaJaQDc0LpVlJdo\nDIMHD0bXrl2ZHDRnzhy88cYbPCZ6PuSvg5y4Q+Qr2p8gCArykvhrvWjjnqRUY0mawvJuNk6nUyGG\nAFypVwWkRvfECKdt5E6RxgEAd999N3bs2MHbEoz8wQcfKGpzBw0axHWp1E9W7pjkcwWJTNCYGs+f\nxKyWM6/lBCG6Po0JYKT9+9xzzymeZSKXya+F/Dmi6y9Xx5KT4kRRxLBhw/g60P0g0ZhLly4hICDg\n1kPB18vZ0UX0dd6V/6ap768V1flyvOvlfRuPgT7TP/lNbhxNXs/Z3ojv8fW6NNep+np/rnatfWES\n32wTBAE7d+7Ezp07odFo8OKLLyI4OBjBwcG488474fF4UFJSgpKSEuj1ehw+fBh2ux12ux1Wq5Xb\nv4WGhiI0NBQ//PADNBoNTpw4gRMnTsDj8aChoQE2m42ZrqIo4uWXX8bLL7/MZSTE/CUH6HK54HK5\nMHLkSHi9XtTU1KCmpgYWiwX5+fnMRCYVJqfTyb/Jzs6Gy+Xi37jdbnzyySdYuXIlVq5ciZkzZ+LQ\noUPs8D0eD86dOweTyQSTycQNx0NCQhASEoJz587B7Xbz/Tl06BB2796N5ORkJCcn4+LFiygvL0dZ\nWRnvU6VSYfXq1QgICOB/Fy5cQG5uLnJzcznayMrKQlZWFhYvXozq6mp8/fXX+Prrr/HDDz/AaDTy\nbwVBYDGEsLAwXLx4ESUlJXwdXn/9dahUKqxfvx5HjhzBkSNHIAgC1q9fD7PZDLPZzONfv3491q9f\nj9zcXKjVaj5var7QGs9cWVkZysrKsH//fqxYsQJqtRpqtZpJNHSvVCoVfvjhBz5PURRZYQiQJvXi\n4mJ+Xzdt2gRRFOHxeH6jGARIEa9KpcI333yDb775BoIgYNy4cby9KIrsyMhhejwefuYBiQBFRttl\nZmYiMzMToihi2rRp/PePPvoINTU1XOazfft2fPDBBxBFER9++CE+/PBDuN1u7NmzBx9//DE+/vhj\nnDt3DhaLBc8++yyeffZZABKCUV5ejvLycgQGBsJisfDz3pjNTeOja2Kz2fDRRx/BarUqFm5btmzB\nli1b4Ha7UVBQgFGjRmHUqFHQaDSK+cvhcECtVvNz5HQ6IYoiv1+AlNuuqqrixWZOTo6iWmDHjh24\ndOkSLl26xEhSXl4e8vLyWO60pebPsfrNb37zm9/8dhOtSSi4uSzSG2W0Xs+aA+1eaww3q4ylEUTa\nrH34MobmjLOpa369e3UtaP8aY2oVKPjcuXMiCZrn5OTgtttuY0GIpKQkRZ/FvLw8pKenc7TVrl07\naLVaXLp0iRm1Xq8X0dHRzOo1GAwICAjglWxoaCg+/fRTZthWVlYiMDCQ258ZjUaEh4cznBkdHc21\nq4CUS+zQoYOi9rK4uBhBQUEMP1+4cAF33nknr6YDA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zzehoYGvm8AWDaTcrSiKPVcpmf7\nxIkTyMjIaJX5zm9+85vf/OY3v/nNb37zm9/85je/+c1vfvOb3/zmN7/5zW9+85vf/OY3v/nNb37z\nm9/85je/+c1vfvOb3/zmN7/5zW9++/+5/X8YcYwQP0lBOgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7feab85b3190>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print \"Mean incoming/outgoing total connectivity weight for FWM\", np.mean(np.sum(W2, axis=0))\n",
"print \"Mean incoming/outgoing total connectivity weight for random\", np.mean(np.sum(desired_wm, axis=0))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Mean incoming/outgoing total connectivity weight for FWM 20.9964169772\n",
"Mean incoming/outgoing total connectivity weight for random 19.87\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random $\\mathbf{E}$ and optimised $\\mathbf{D}$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def genobjfunc2(W, E):\n",
" def f(x):\n",
" D = x.reshape(E.T.shape)\n",
" return np.sqrt(np.mean((W - D.dot(E))**2))\n",
" return f"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"E = np.abs(np.random.normal(size=(k, n)))\n",
"D = np.zeros((n, k))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fined = scipy.optimize.minimize(genobjfunc2(desired_wm, E), D, bounds=[(0., None)] * D.size)\n",
"print \"Final error:\", fined['fun']"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Final error: 0.392769753986\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"D = fined['x'].reshape(E.T.shape)\n",
"W3 = D.dot(E)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_connectivity(desired_wm, W3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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k1ZSnvpIk1YjBL0lSjRj8kiTViMEvSVKNGPySJNWIwS9JUo0Y/JIk1YjBL0lS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\n",
"text": [
"<matplotlib.figure.Figure at 0x7feab8535510>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_weight_matrices(desired_wm, W3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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XL9vtRS666CI8Hg9z5swB4MQTTxSiC+3rcdOmTYD1veXm5sraHT9+PM8999w2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i9aBNu2bWNQDx2jRaO6uhpdunRBbW0t74jLy8uRmprK1mNVVZXErERpQiQ7d+7EwIEDOcn/7LPP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\nmmiiiSYs/w8ifiaDz7h75QAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7feab8884a10>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print \"Mean incoming/outgoing total connectivity weight for FWM\", np.mean(np.sum(W3, axis=0))\n",
"print \"Mean incoming/outgoing total connectivity weight for random\", np.mean(np.sum(desired_wm, axis=0))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Mean incoming/outgoing total connectivity weight for FWM 18.9230725382\n",
"Mean incoming/outgoing total connectivity weight for random 19.87\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## With SVD"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"U, s, V = np.linalg.svd(desired_wm, full_matrices=True)\n",
"e = s[:k] * U[:,:k]\n",
"d = V[:k,:]\n",
"W4 = e.dot(d)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.hist(W4.reshape(W4.size), 100);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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orLGxqdIlVNbY2FTXnkOe3/2l6sd70T7jiHgr8DDwuczcV1/9ZERcVf/6WmA/8Djw/ohY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\nJEmSJEmSJEmSJEmSpKr6/9zg0lLQ2GDdAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7feab86eed10>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_weight_matrices(desired_wm, W4)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ABQsWaDujtOnLL7/kvPPOk3EJJFQhISFs3LhRnOciIyP59ttvxebvdrvF2QsO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uVy4fPPPwcgWskej4e9OAsXLsTMmTMZhxAaGiqJ+VZXV2Pp0qV48sknAVy0cOn8oKAg5ObmIjEx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\ni1vc4ha3/P9L/h+C2H3zO1/bDQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7feab88529d0>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__Using +ve only factors.__"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"e = np.abs(s[:k] * U[:,:k])\n",
"d = np.abs(V[:k,:])\n",
"W5 = e.dot(d)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.hist(W5.reshape(W5.size), 100);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7feab8607fd0>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_weight_matrices(desired_wm, W5) # Not good"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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SIgJp6tSpHD58WNyFdrsdv9/PwYMHxV3Wr18/Nm3aJEwjMTGRmpoaiXulp6dT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\nKFCgQIECBQoUKFCg4J7g/4d91eCKGrbWAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7feab8843810>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Not good."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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