mirror of
https://github.com/ArthurDanjou/ArtStudies.git
synced 2026-01-24 20:52:09 +01:00
215 lines
229 KiB
Plaintext
215 lines
229 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "6dce0c79-7cf1-4144-954b-313254b08f0d",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"import math\n",
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"import numpy as np\n",
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"import scipy.stats as scs\n",
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"import matplotlib.pyplot as plt\n",
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"import numpy.random as random"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "6f567a36-6229-4973-a160-379251a9ea6f",
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"metadata": {},
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"outputs": [],
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"source": [
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"def X():\n",
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" p = p0\n",
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" i = 0\n",
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" q = p\n",
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" u = random.rand()\n",
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" while u > q:\n",
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" p = c(i)*p\n",
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" i +=1\n",
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" q +=p\n",
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" return i"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 17,
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"id": "b3f9894a-5d85-469e-9978-d45bed25d7a7",
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"metadata": {},
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"outputs": [],
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"source": [
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"def simupoisson(a, borne):\n",
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" p = math.exp(-a)\n",
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" i = 0\n",
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" q = p\n",
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" u = random.random()\n",
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"\n",
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" while u > q and q <= borne:\n",
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" i += 1\n",
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" p *= a / i\n",
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" q += p\n",
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"\n",
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" return i"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 26,
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"id": "1b59e989-6510-4238-8896-fcdc8aa44fde",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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ywqlTpzBz5kz4+/vj2rVr+OeffzB48GCFSyqVKlVC7969cfr0aWRmZkq2W6dOHZiYmODbb7/FqlWrcOXKFaU6TZs2BQD069cP27Ztk19ueZOq57dLly7Q1NSUrxfl9wKA/FJttWrVlLYlJCTgs88+g6mpqfxzzM/PD7m5ubh+/bq83ujRo3Hu3Ll3Lnv37lVof8yYMWjYsCFGjRpVaIzFZWpqim+//RY7duzAmTNnCqy3d+/eIsU/evToYsdS2BPQb28rqG5R6xW0rVq1apK/a+qm9e4qVF68ePEC6enpcHFxKbDO8+fP4enpCT09PcyePRsODg4wMDDAvXv30KtXL/z3338AgPT0dABQ+CLOZ2Fhgdu3byuVSz1Bs3PnTvTr1w99+/bF//73P1haWkJLSwsrV67E+vXrlepXrVpVYV1HR6fQ8pcvXxa6f37dd+2fnp6OnJwc/Pjjj5KPqQJAWlqaZDkA/PvvvxBCSJ4vAKhVq5bCuqmpqVIdXV1d+fl/F0tLywLL0tPTUaNGDSxevBgTJ07EmDFjMGvWLJiZmUFTUxPTpk0rUpL0+PFjCCEkf675CWf+70lBx6WrqwsAhR7XsWPH0KZNG4Wy27dvK9z3pqr09HTJ/QuKuyjtSf1s3/45/PvvvwCAoKAgyekWgMJ/j/L169cP//vf/yCTyWBkZITatWvLk4z82Av6ueTl5eHx48cwMDBQ2m5sbIxjx47hhx9+wHfffYfHjx/DysoKo0aNwtSpU6GtrY1WrVph9+7dWLZsGfz8/JCVlYX69etjypQpGDBggDwGVc5vcX4v3tyup6enUJ6UlARPT084Ojpi6dKlsLOzg56eHs6ePYuxY8cqtGtpaSmZZL3tzS/u7du348CBAzhx4gSePn2qUC87OxtPnjyBoaGh5B+FqggICMDy5cvxzTffKD1Jls/Z2blIf/wW9R6kt5mamkr+e3j06BGA//+Zmv8zLKjum5+xpqamSExMVKr34sULZGdnS35O6+npFfnz70NiklSB7N+/H7m5uYXOh3H48GH8888/OHr0qHz0CHg94eCb8v9B5H/ov6mgm1Wl/jr4+eefYW9vj4iICIXtbz8uqm4mJibyEZKxY8dK1rG3ty9wfzMzM8hkMhw/flz+BfAmqbL3IfUzyC/L/9n9/PPP8PLywsqVKxXqFXWuGRMTE2hoaCA5OVlpW/5f+GZmZirFLcXV1RXnzp1TKHtz1K84TE1NSzRuU1NTnD17Vqn87Z9DfruTJ09Gr169JNtydHR8Z3/m5uZwc3MrMBYABR6fhoYGTExMCmzbxcUFW7duhRACFy9eRHh4OGbOnAl9fX1MmjQJANC9e3d0794dWVlZOH36NEJCQjBw4EDY2dnB3d29xM9vQfLbefTokUJSuHv3brx48QI7d+6Era2tvFzqi3nmzJmYMWPGO/uytbWV3+B++fJl5OTkoEWLFkr11q5di7Vr12LXrl3vPb+Pvr4+goODMXr06AKnd6hdu3aRRpinT59erBvBXVxccOnSJaXy/LIGDRoo/PfSpUvo3LmzUt387fltbt26FSkpKQp/SLzd5psePXr0Xn8YlRYmSRVEUlISgoKCYGxsjC+++KLAevmJyttf2m8+EQe8/iC3tLTEtm3bEBgYqNDPqVOnivwlJpPJoKOjo5AgpaSkSD7dpk4GBgZo06YNEhIS8Mknn8hHmoqqa9eumDt3Lh48eKB0ibI0HDp0CP/++698dCM3NxcRERGoXbs2atSoAeD1uX/753zx4kXExsbCxsZGXlbQX/WGhoZo3rw5du7ciYULF0JfXx8AkJeXh59//hk1atSAg4PDex+LkZFRgQlBcbVr1w4hISE4f/48mjRpIi/ftGkTZDKZ0sjVu7Rp0wbbtm3Dnj17FC65bd68WaGeo6Mj6tatiwsXLijNB1NSHB0dUb16dWzevBlBQUHyf1svXrzAjh075E+8vYtMJkPDhg2xZMkShIeH4/z580p1dHV10bp1a1SpUgVRUVFISEiAu7t7iZ/fgtSrVw8A8Pfff6N+/foKsefHl08IgbVr1yq1MXr06CJN0PhmW0OHDpX8Y7NNmzbo0aMHxo8fL/lFXxzDhw/HkiVLMGnSJMmnW/fu3VukPyqL+4dFz5494e/vjzNnzqB58+YAXl8m/vnnn9G8eXN5u9WrV0ezZs3w888/IygoSD6yefr0aVy7dg0BAQHyNrt3746pU6di48aN+Pbbb+Xl4eHh0NfXR8eOHRViyMnJwb1795SSr7KASVI5lP9XTk5ODlJTU3H8+HFs2LABmpqa2LVrV6ETh3l4eMDExARjxozB9OnToa2tjV9++QUXLlxQqKehoYEZM2bgiy++QJ8+fTB8+HA8efIEM2bMgJWVVZGHdrt27YqdO3fC398fffr0wb179zBr1ixYWVnhxo0b73UeStrSpUvx6aefwtPTE19++aX8NR43b97E3r17C72PpWXLlhg9ejSGDRuGuLg4tGrVCoaGhkhOTsaJEyfg4uKCL7/8ssRiNTMzQ9u2bTFt2jQYGhoiLCwMf/31l8I0AF27dsWsWbMwffp0tG7dGteuXcPMmTNhb2+vcN+PkZERbG1t8dtvv6Fdu3aoWrUqzMzMYGdnh5CQEHh7e6NNmzYICgqCjo4OwsLCcPnyZWzZskWts7lfunQJ27dvVypv2rQpJkyYgE2bNqFLly6YOXMmbG1tsX//foSFheHLL79UObnz8/PDkiVL4Ofnhx9++AF169ZFZGQkoqKilOquXr0anTp1QocOHTB06FBUr14djx49wtWrV3H+/Hn8+uuvxT5m4PW/zfnz5+Pzzz9H165d8cUXXyArKwsLFizAkydPMHfu3AL33bdvH8LCwtCjRw/UqlULQgjs3LkTT548gbe3NwDg+++/x/3799GuXTvUqFEDT548wdKlSxXuXSzp81uQ5s2bQ19fH6dPn1ZITr29vaGjo4MBAwbgm2++wcuXL7Fy5Uo8fvxYqQ1ra2uVEwg7O7sCRzWqV6+ulEB5eXnh2LFjRbos9jZNTU3MmTNHPsVA/v1a+Qq7faIwcXFx8pGxjIwMCCHk/16aNm0qH4EbPnw4VqxYgb59+2Lu3LmoVq0awsLCcO3aNaXJiefNmwdvb2/07dsX/v7+SE1NxaRJk9CgQQOFx/3r16+PESNGYPr06dDU1ETTpk0RHR2NNWvWYPbs2UqX2y5evIjMzMwSS65LlHruF6fiyH9SJX/R0dER1apVE61btxZz5swRqampSvtIPd126tQp4e7uLgwMDIS5ubkYOXKkOH/+vOQjymvWrBF16tQROjo6wsHBQaxfv150795d4cm0dz1tNHfuXGFnZyd0dXWFk5OTWLt2rWRckHhypKC2jxw5ovTIe+vWrUX9+vWV+i9ograC+hs+fLioXr260NbWFubm5sLDw0PMnj1b8tjetn79etG8eXNhaGgo9PX1Re3atYWfn5/CE3cFxTlkyBClJ2yk5McdFhYmateuLbS1tUW9evXEL7/8olAvKytLBAUFierVqws9PT3RpEkTsXv3bsl+Dh48KBo3bix0dXUFADFkyBD5tuPHj4u2bdvKj6lFixZi7969CvsX9ORl/s8pf8qBkpD/O1HQkv87fPfuXTFw4EBhamoqtLW1haOjo1iwYIHS02Uo4kSa9+/fF7179xaVKlUSRkZGonfv3vIngN7+d3PhwgXRr18/Ua1aNaGtrS0sLS1F27ZtxapVq97Zj9TvpZTdu3eL5s2bCz09PWFoaCjatWsnTp48qVDn7afb/vrrLzFgwABRu3Ztoa+vL4yNjUWzZs1EeHi4fJ99+/aJTp06ierVq8s/Yzp37qwwtYAQRTu/hX02FPW8Dx48WDg7OyuV7927VzRs2FDo6emJ6tWri//973/i999/L/HftzcV9LNxdXUVlpaW79z/zafb3ubh4SEAlNhkkkOGDHnnv5F8KSkpws/PT1StWlXo6emJFi1aiJiYGMl2o6OjRYsWLYSenp6oWrWq8PPzE//++69SvezsbDF9+nRRs2ZN+fdHQY/4T5s2TZiZmZXJCYhlQhQj9aWP1pMnT+Dg4IAePXpgzZo16g6HiCq4uLg4NG3aFKdPn5ZfDipLnj17hqpVqyI0NLTA+xmpYLm5uahTpw4GDhyIH374Qd3hKGGSRAVKSUnBDz/8gDZt2sDU1BR3797FkiVL8NdffyEuLk7hHgEiotLi6+uLFy9eYN++feoORcn+/fsxduxYXL9+XeV7GQnYuHEjgoKCcOPGDaVZ1csCzpNEBdLV1cWdO3fg7+8Pb29vjBs3DhYWFjh69CgTJCL6YBYtWoSmTZsW+cnMD6lLly64c+cOE6RiysvLwy+//FImEySAI0lEREREkjiSRERERCSBSRIRERGRBCZJRERERBI4meR7yMvLwz///AMjIyO1TqpHRERERSeEwLNnz2BtbV3o5MhMkt7DP//8o/B6ByIiIio/7t27J3+VkxQmSe/ByMgIwOuTXLlyZTVHQ0REREWRkZEBGxsb+fd4QZgkvYf8S2yVK1dmkkRERFTOvOtWGd64TURERCSBSRIRERGRBCZJRERERBJ4TxIRERUqNzcXr169UncYREWmra0NTU3N926HSRIREUkSQiAlJQVPnjxRdyhEKqtSpQosLS3fax5DJklERCQpP0GqVq0aDAwMOGkulQtCCGRmZiI1NRUAYGVlVey2mCQREZGS3NxceYJkamqq7nCIVKKvrw8ASE1NRbVq1Yp96Y03bhMRkZL8e5AMDAzUHAlR8eT/7r7P/XRMkoiIqEC8xEblVUn87jJJIiIiIpLAJImIiIjeaejQoejRo8c768lkMuzevbvU4/kQeOM2ERGpxG7S/g/W1525XT5YX1S4pUuXQgjxznrJyckwMTH5ABGVPiZJREREH1h2djZ0dHTUHYZKjI2NC92ef0yWlpYfKKLSx8ttRERUYXh5eeHrr79GQEAATExMYGFhgTVr1uDFixcYNmwYjIyMULt2bfz+++8K+125cgWdO3dGpUqVYGFhgcGDByMtLU2+ffv27XBxcYG+vj5MTU3Rvn17vHjxQt5nQECAQns9evTA0KFD5et2dnaYPXs2hg4dCmNjY4waNQoAcOrUKbRq1Qr6+vqwsbHBuHHj5O0WZO/evXB1dYWenh5q1aqFGTNmICcnR75dJpNh9erV6Nq1KwwMDODk5ITY2FjcvHkTXl5eMDQ0hLu7O/7++2/5PsHBwWjUqBFWr14NGxsbGBgYoG/fvgoTib59uc3LywtfffUVAgMDYWZmBm9vb3n/b15uO3v2LBo3bgw9PT24ublh165dkMlkSExMBACEh4ejSpUqCse4e/dupRuv33XcpYFJEhERVSgbN26EmZkZzp49i6+//hpffvkl+vbtCw8PD5w/fx4dOnTA4MGDkZmZCeD15aHWrVujUaNGiIuLw4EDB/Dvv/+iX79+8u0DBgzA8OHDcfXqVRw9ehS9evUq0qWnNy1YsAANGjRAfHw8pk2bhkuXLqFDhw7o1asXLl68iIiICJw4cQJfffVVgW1ERUVh0KBBGDduHK5cuYLVq1cjPDwcP/zwg0K9WbNmwc/PD4mJiahXrx4GDhyIL774ApMnT0ZcXBwAKPVz8+ZNbNu2DXv37sWBAweQmJiIsWPHvvNca2lp4eTJk1i9erXS9hcvXqBr165wdHREfHw8goODERQUVNRTpvJxlzRebiMqg4pzzwfv3SB6rWHDhpg6dSoAYPLkyZg7dy7MzMzkozfff/89Vq5ciYsXL6JFixZYuXIlmjRpgjlz5sjbWL9+PWxsbHD9+nU8f/4cOTk56NWrF2xtbQEALi4uKsfVtm1bhQTBz88PAwcOlI9C1a1bF8uWLUPr1q2xcuVK6OnpKbXxww8/YNKkSRgyZAgAoFatWpg1axa++eYbTJ8+XV5v2LBh8iTv22+/hbu7O6ZNm4YOHToAAMaPH49hw4YptP3y5Uts3LgRNWrUAAD8+OOP6NKlCxYtWlTgJbQ6depg/vz5BR7zL7/8gtzcXKxfvx4GBgaoX78+7t+/jy+//PJdp6tYx13SmCQREVGF8sknn8j/X1NTE6ampgpJjYWFBQDIX1sRHx+PI0eOoFKlSkpt/f333/Dx8UG7du3g4uKCDh06wMfHB3369FH55mQ3NzeF9fj4eNy8eRO//PKLvEwIgby8PNy+fRtOTk5KbcTHx+PcuXMKIyi5ubl4+fIlMjMz5RMovnkO8o/37XPw8uVLZGRkoHLlygCAmjVryhMkAHB3d0deXh6uXbtWYJL09jG97erVq2jYsKHCpKTu7u6F7iOlqMdd0pgkERFRhaKtra2wLpPJFMry73XJy8uT/7dbt26YN2+eUltWVlbQ1NRETEwMTp06hejoaPz444+YMmUKzpw5A3t7e2hoaChdepOa5dnQ0FBhPS8vD1988QXGjRunVLdmzZqSx5aXl4cZM2agV69eStveHHmSOt7CzoGU/DqFTcr49jG9rSiXJIty/op63CWNSRIREX3UmjRpgh07dsDOzg5aWtJfizKZDC1btkTLli3x/fffw9bWFrt27UJgYCDMzc2RnJwsr5ubm4vLly+jTZs27+z3zz//RJ06dVSK9dq1ayrtU1RJSUn4559/YG1tDQCIjY2FhoYGHBwcit2ms7Mz/u///g///fef/H1qp0+fVqhjbm6OZ8+e4cWLF/KkK/+m7nyledyF4Y3bRET0URs7diwePXqEAQMG4OzZs7h16xaio6MxfPhw5Obm4syZM5gzZw7i4uKQlJSEnTt34uHDh/LLYW3btsX+/fuxf/9+/PXXX/D391d4Kqwg3377LWJjYzF27FgkJibixo0b2LNnD77++usC9/n++++xadMmBAcH488//8TVq1cREREhvwfrfejp6WHIkCG4cOECjh8/jnHjxqFfv37v9Uj/wIEDoaGhgREjRuDKlSuIjIzEwoULFeo0b94cBgYG+O6773Dz5k1s3rwZ4eHhCnVK87gLwySJiIg+atbW1jh58iRyc3PRoUMHNGjQAOPHj4exsTE0NDRQuXJl/PHHH+jcuTMcHBwwdepULFq0CJ06dQIADB8+HEOGDIGfnx9at24Ne3v7d44iAa/vGzp27Bhu3LgBT09PNG7cGNOmTYOVlVWB+3To0AH79u1DTEwMmjZtihYtWmDx4sXyG8rfR506ddCrVy907twZPj4+aNCgAcLCwt6rzUqVKmHv3r24cuUKGjdujClTpihd1qxatSp+/vlnREZGwsXFBVu2bEFwcLBCndI87sLIhKrPMJJcRkYGjI2N8fTpU/mNb0QlgU+3kbq9fPkSt2/fhr29fane80FlQ3BwMHbv3q10mas03LlzB/b29khISECjRo1KrZ/CfoeL+v1dJkaSwsLC5Afh6uqK48ePF1h3586d8Pb2hrm5OSpXrgx3d3dERUUp1duxYwecnZ2hq6sLZ2dn7Nq16736JSIioo+L2pOkiIgIBAQEYMqUKUhISICnpyc6deqEpKQkyfp//PEHvL29ERkZifj4eLRp0wbdunVDQkKCvE5sbCx8fX0xePBgXLhwAYMHD0a/fv1w5syZYvdLREREHxe1X25r3rw5mjRpgpUrV8rLnJyc0KNHD4SEhBSpjfr168PX1xfff/89AMDX1xcZGRkK08537NgRJiYm2LJlS4n1y8ttVFp4uY3UjZfbqLwr95fbsrOzER8fDx8fH4VyHx8fnDp1qkht5OXl4dmzZ6hataq8LDY2VqnNDh06yNssiX6JiIioYlPrPElpaWnIzc2Vzwaaz8LCAikpKUVqY9GiRXjx4oV8+nUASElJKbTN4vablZWFrKws+XpGRkaRYiQiIqLyR+33JAHKs3kKIQqd4TNf/mOCERERqFatmsptqtpvSEgIjI2N5YuNjc07YyQiIqLySa1JkpmZGTQ1NZVGb1JTU5VGed4WERGBESNGYNu2bWjfvr3CNktLy0LbLG6/kydPxtOnT+XLvXv33nmMREREVD6pNUnS0dGBq6srYmJiFMpjYmLg4eFR4H5btmzB0KFDsXnzZnTponyzqru7u1Kb0dHR8jaL26+uri4qV66ssBAREVHFpPZ3twUGBmLw4MFwc3ODu7s71qxZg6SkJIwZMwbA69GbBw8eYNOmTQBeJ0h+fn5YunQpWrRoIR8N0tfXh7GxMQBg/PjxaNWqFebNm4fu3bvjt99+w8GDB3HixIki90tEREQfN7Xfk+Tr64vQ0FDMnDkTjRo1wh9//IHIyEj5VOPJyckKcxetXr0aOTk5GDt2LKysrOTL+PHj5XU8PDywdetWbNiwAZ988gnCw8MRERGB5s2bF7lfIiIqf7y8vBAQEFDk+uHh4ahSpYrK/QwdOhQ9evRQeb+ScOfOHchksg8yO/bHTu3zJJVnnCeJSgvnSSJ1K3SepGDjDxdI8FOVqnt5eaFRo0YIDQ0tUv3//vsPz549U3r4J19Br9AYOnQonjx5gt27d6sUX0nIzc3Fw4cPYWZmBi0ttV8QKrNKYp4knl0iIvpo6evrQ19fX91hFFl2djZ0dHRgaWmp7lA+Cmq/3EZERFRaHj9+DD8/P5iYmMDAwACdOnXCjRs35NvfdbnN3t4eANC4cWPIZDJ4eXkpbF+4cCGsrKxgamqKsWPH4tWrV/Jt2dnZ+Oabb1C9enUYGhqiefPmOHr0qML+O3bsQP369aGrqws7OzssWrRIYbudnR1mz56NoUOHwtjYGKNGjZK83BYZGQkHBwfo6+ujTZs2CA8Ph0wmw5MnTwC8foHt2y+TDQ0NhZ2dnULZhg0b4OTkBD09PdSrVw9hYWEFnpuPAUeSiCoKVS+BqHgZo8QU51KNumKlcm/o0KG4ceMG9uzZg8qVK+Pbb79F586dceXKFWhra79z/7Nnz6JZs2Y4ePAg6tevDx0dHfm2I0eOwMrKCkeOHMHNmzfh6+uLRo0aYdSoUQCAYcOG4c6dO9i6dSusra2xa9cudOzYEZcuXULdunURHx+Pfv36ITg4GL6+vjh16hT8/f1hamqKoUOHyvtZsGABpk2bhqlTp0rGeO/ePfTq1QtjxozBl19+ibi4OEycOFHlc7V27VpMnz4dy5cvR+PGjZGQkIBRo0bB0NAQQ4YMUbm9ioBJEhERVUj5ydHJkyfl07v88ssvsLGxwe7du9G3b993tmFubg4AMDU1VbrEZWJiguXLl0NTUxP16tVDly5dcOjQIYwaNQp///03tmzZgvv378Pa2hoAEBQUhAMHDmDDhg2YM2cOFi9ejHbt2mHatGkAAAcHB1y5cgULFixQSJLatm2LoKAg+fqdO3cU4li5ciVq1aqFJUuWQCaTwdHREZcuXcK8efNUOl+zZs3CokWL0KtXLwCvR9GuXLmC1atXM0kiIiKqSK5evQotLS2FJ5tNTU3h6OiIq1evvnf79evXh6ampnzdysoKly5dAgCcP38eQgg4ODgo7JOVlQVTU1N5fN27d1fY3rJlS4SGhiI3N1fetpubW6FxXL16FS1atFB4Y4S7u7tKx/Lw4UPcu3cPI0aMkI+EAUBOTo58ep2PEZMkIiKqkAp6eLuor756l7cv18lkMuTl5QF4/fJ1TU1NxMfHKyRSAFCpUqUC45CK2dDQsNA4ivKQuoaGhlK9N++fyo977dq1CkklAKX4PyZMkoiIqEJydnZGTk4Ozpw5I7/clp6ejuvXr8PJyalIbeTfg5Sbm6tS340bN0Zubi5SU1Ph6elZYHxvTnIMAKdOnYKDg4NKiYmzs7PSVASnT59WWDc3N0dKSopCYvbmjd8WFhaoXr06bt26hc8//7zIfVd0fLqNiIgqpLp166J79+4YNWoUTpw4gQsXLmDQoEGoXr260mWuglSrVg36+vo4cOAA/v33Xzx9WrSHCBwcHPD555/Dz88PO3fuxO3bt3Hu3DnMmzcPkZGRAICJEyfi0KFDmDVrFq5fv46NGzdi+fLlCvcfFcWYMWPw999/IzAwENeuXcPmzZsRHh6uUMfLywsPHz7E/Pnz8ffff2PFihX4/fffFeoEBwcjJCQES5cuxfXr13Hp0iVs2LABixcvVimeioRJEhERVVgbNmyAq6srunbtCnd3dwghEBkZWaQn2wBAS0sLy5Ytw+rVq2FtbV3k5Cq/bz8/P0ycOBGOjo747LPPcObMGdjY2AAAmjRpgm3btmHr1q1o0KABvv/+e8ycOVPhpu2iqFmzJnbs2IG9e/eiYcOGWLVqFebMmaNQx8nJCWFhYVixYgUaNmyIs2fPKiVjI0eOxE8//YTw8HC4uLigdevWCA8Pl0+D8DHijNvvgTNuU2kp1ozbegNV24FTAFAhCp1xm8q8o0ePok2bNnj8+HGxXrtSEZTEjNscSSIiIiKSwCSJiIiISAKfbiMiIqpgvLy8ijQ1ABWOI0lEREREEpgkERFRgTgaQeVVSfzuMkkiIiIl+Y/IZ2ZmqjkSouLJ/90t6nQPUnhPEhERKdHU1ESVKlWQmpoKADAwMCiRV3kQlTYhBDIzM5GamooqVaq812tVmCQREZGk/Lfe5ydKROVJlSpV5L/DxcUkiYiIJMlkMlhZWaFatWoKL0MlKuu0tbVL5MW8TJKIiKhQmpqaH/Wb4OnjxRu3iYiIiCQwSSIiIiKSwCSJiIiISAKTJCIiIiIJTJKIiIiIJDBJIiIiIpLAKQCIqNjsJu1XeZ87eqUQCBFRKeBIEhEREZEEJklEREREEpgkEREREUlgkkREREQkgUkSERERkYQykSSFhYXB3t4eenp6cHV1xfHjxwusm5ycjIEDB8LR0REaGhoICAhQquPl5QWZTKa0dOnSRV4nODhYabulpWVpHB4RERGVQ2pPkiIiIhAQEIApU6YgISEBnp6e6NSpE5KSkiTrZ2VlwdzcHFOmTEHDhg0l6+zcuRPJycny5fLly9DU1ETfvn0V6tWvX1+h3qVLl0r8+IiIiKh8Uvs8SYsXL8aIESMwcuRIAEBoaCiioqKwcuVKhISEKNW3s7PD0qVLAQDr16+XbLNq1aoK61u3boWBgYFSkqSlpcXRIyIiIpKk1pGk7OxsxMfHw8fHR6Hcx8cHp06dKrF+1q1bh/79+8PQ0FCh/MaNG7C2toa9vT369++PW7duFdpOVlYWMjIyFBYiIiKqmNSaJKWlpSE3NxcWFhYK5RYWFkhJSSmRPs6ePYvLly/LR6ryNW/eHJs2bUJUVBTWrl2LlJQUeHh4ID09vcC2QkJCYGxsLF9sbGxKJEYiIiIqe9R+TxIAyGQyhXUhhFJZca1btw4NGjRAs2bNFMo7deqE3r17w8XFBe3bt8f+/a9fr7Bx48YC25o8eTKePn0qX+7du1ciMRIREVHZo9Z7kszMzKCpqak0apSamqo0ulQcmZmZ2Lp1K2bOnPnOuoaGhnBxccGNGzcKrKOrqwtdXd33jouIiIjKPrWOJOno6MDV1RUxMTEK5TExMfDw8Hjv9rdt24asrCwMGjTonXWzsrJw9epVWFlZvXe/REREVP6p/em2wMBADB48GG5ubnB3d8eaNWuQlJSEMWPGAHh9ievBgwfYtGmTfJ/ExEQAwPPnz/Hw4UMkJiZCR0cHzs7OCm2vW7cOPXr0gKmpqVK/QUFB6NatG2rWrInU1FTMnj0bGRkZGDJkSOkdLBEREZUbak+SfH19kZ6ejpkzZyI5ORkNGjRAZGQkbG1tAbyePPLtOZMaN24s///4+Hhs3rwZtra2uHPnjrz8+vXrOHHiBKKjoyX7vX//PgYMGIC0tDSYm5ujRYsWOH36tLxfIiIi+ripPUkCAH9/f/j7+0tuCw8PVyoTQryzTQcHh0Lrbd26tcjxERER0cenTDzdRkRERFTWMEkiIiIiksAkiYiIiEgCkyQiIiIiCUySiIiIiCQwSSIiIiKSwCSJiIiISAKTJCIiIiIJTJKIiIiIJDBJIiIiIpLAJImIiIhIApMkIiIiIglMkoiIiIgkMEkiIiIiksAkiYiIiEgCkyQiIiIiCUySiIiIiCQwSSIiIiKSwCSJiIiISAKTJCIiIiIJTJKIiIiIJDBJIiIiIpKgpe4AiD4Uu0n7Vd7nztwupRAJERGVBxxJIiIiIpLAkSQi+ihwJJGIVMUkiYioIMHGKtZ/WjpxEJFa8HIbERERkQSVk6T//vsPmZmZ8vW7d+8iNDQU0dHRJRoYERERkTqpnCR1794dmzZtAgA8efIEzZs3x6JFi9C9e3esXLmyxAMkIiIiUgeVk6Tz58/D09MTALB9+3ZYWFjg7t272LRpE5YtW1biARIRERGpg8pJUmZmJoyMjAAA0dHR6NWrFzQ0NNCiRQvcvXu3xAMkIiIiUgeVk6Q6depg9+7duHfvHqKiouDj4wMASE1NReXKlYsVRFhYGOzt7aGnpwdXV1ccP368wLrJyckYOHAgHB0doaGhgYCAAKU64eHhkMlkSsvLly+L3S8RERF9XFROkr7//nsEBQXBzs4OzZo1g7u7O4DXo0qNGzdWOYCIiAgEBARgypQpSEhIgKenJzp16oSkpCTJ+llZWTA3N8eUKVPQsGHDAtutXLkykpOTFRY9Pb1i90tEREQfF5WTpD59+iApKQlxcXGIioqSl7dr1w5LlixROYDFixdjxIgRGDlyJJycnBAaGgobG5sCbwK3s7PD0qVL4efnB2PjgucwkclksLS0VFjep18iIiL6uBRrniRLS0sYGRkhJiYG//33HwCgadOmqFevnkrtZGdnIz4+Xn7JLp+Pjw9OnTpVnNDknj9/DltbW9SoUQNdu3ZFQkLCB+mXiIiIKgaVk6T09HS0a9cODg4O6Ny5M5KTkwEAI0eOxMSJE1VqKy0tDbm5ubCwsFAot7CwQEpKiqqhydWrVw/h4eHYs2cPtmzZAj09PbRs2RI3btx4r36zsrKQkZGhsBAREVHFpHKSNGHCBGhrayMpKQkGBgbycl9fXxw4cKBYQchkMoV1IYRSmSpatGiBQYMGoWHDhvD09MS2bdvg4OCAH3/88b36DQkJgbGxsXyxsbEpdoxERERUtqmcJEVHR2PevHmoUaOGQnndunVVngLAzMwMmpqaSqM3qampSqM870NDQwNNmzaVjyQVt9/Jkyfj6dOn8uXevXslFiMRERGVLSonSS9evFAYQcqXlpYGXV1dldrS0dGBq6srYmJiFMpjYmLg4eGhamgFEkIgMTERVlZW79Wvrq4uKleurLAQERFRxaSl6g6tWrXCpk2bMGvWLACvL1nl5eVhwYIFaNOmjcoBBAYGYvDgwXBzc4O7uzvWrFmDpKQkjBkzBsDr0ZsHDx7IX4UCAImJiQBe35z98OFDJCYmQkdHB87OzgCAGTNmoEWLFqhbty4yMjKwbNkyJCYmYsWKFUXul4iIiD5uKidJCxYsgJeXF+Li4pCdnY1vvvkGf/75Jx49eoSTJ0+qHICvry/S09Mxc+ZMJCcno0GDBoiMjIStrS2A15NHvj130ZvzMcXHx2Pz5s2wtbXFnTt3ALx+p9zo0aORkpICY2NjNG7cGH/88QeaNWtW5H6JiIjo4yYTQghVd0pJScHKlSsRHx+PvLw8NGnSBGPHjpVfzvpYZGRkwNjYGE+fPuWlt3LAbtJ+lfe5M7dLKUTybsWKVW+gajsEP1W5j7d9kDiB8hNrCcRJRKWvqN/fKo8kAa/nSZoxY0axgyMqN4ILnrC04H34RUlEVBGonCT98ccfhW5v1apVsYMhIiIiKitUTpK8vLyUyt6cWyg3N/e9AiIiIiIqC1SeAuDx48cKS2pqKg4cOICmTZsiOjq6NGIkIiIi+uBUHkmSeqmst7c3dHV1MWHCBMTHx5dIYERERETqVKwX3EoxNzfHtWvXSqo5IiIiIrVSeSTp4sWLCutCCCQnJ2Pu3Llo2LBhiQVGREREpE4qJ0mNGjWCTCbD29MrtWjRAuvXry+xwIiIiIjUSeUk6fbt2wrrGhoaMDc3h56eXokFRURERKRuKidJfG0HERERfQxUTpKWLVtW5Lrjxo1TtXkiIiKiMkHlJGnJkiV4+PAhMjMzUaVKFQCvXyhrYGAAc3NzeT2ZTMYkiYiIiMotlacA+OGHH9CoUSNcvXoVjx49wqNHj3D16lU0adIEs2fPxu3bt3H79m3cunWrNOIlIiIi+iBUTpKmTZuGH3/8EY6OjvIyR0dHLFmyBFOnTi3R4IiIiIjUReUkKTk5Ga9evVIqz83Nxb///lsiQRERERGpm8pJUrt27TBq1CjExcXJ50qKi4vDF198gfbt25d4gERERETqoHKStH79elSvXh3NmjWDnp4edHV10bx5c1hZWeGnn34qjRiJiIiIPjiVn24zNzdHZGQkrl+/jr/++gtCCDg5OcHBwaE04iMiIiJSC5WTpHwODg5MjIiIiKjCKlKSFBgYiFmzZsHQ0BCBgYGF1l28eHGJBEZERESkTkVKkhISEuRPtJ0/fx4ymUyyXkHlREREROVNkZKkI0eOyP//6NGjpRULERERUZmh0tNtOTk50NLSwuXLl0srHiIiIqIyQaUkSUtLC7a2tsjNzS2teIiIiIjKBJXnSZo6dSomT56MR48elUY8RERERGWCylMALFu2DDdv3oS1tTVsbW1haGiosP38+fMlFhwRERGRuqicJPXo0aMUwiAiIiIqW1ROkqZPn14acRARERGVKSrfk0RERET0MSjSSFLVqlVx/fp1mJmZwcTEpNBJI3lDNxEREVUERUqSlixZAiMjIwBAaGhoacZDREREVCYUKUkaMmSI5P8TERERVVTFuicpNzcX27dvx6xZszB79mzs2LEDOTk5xQ4iLCwM9vb20NPTg6urK44fP15g3eTkZAwcOBCOjo7Q0NBAQECAUp21a9fC09MTJiYmMDExQfv27XH27FmFOsHBwZDJZAqLpaVlsY+BiIiIKhaVk6TLly/DwcEBQ4YMwa5du7Bz504MGTIEdevWxaVLl1QOICIiAgEBAZgyZQoSEhLg6emJTp06ISkpSbJ+VlYWzM3NMWXKFDRs2FCyztGjRzFgwAAcOXIEsbGxqFmzJnx8fPDgwQOFevXr10dycrJ8KU78REREVDGpnCSNHDkS9evXx/3793H+/HmcP38e9+7dwyeffILRo0erHMDixYsxYsQIjBw5Ek5OTggNDYWNjQ1WrlwpWd/Ozg5Lly6Fn58fjI2NJev88ssv8Pf3R6NGjVCvXj2sXbsWeXl5OHTokEI9LS0tWFpayhdzc3OV4yciIqKKSeUk6cKFCwgJCYGJiYm8zMTEBD/88AMSExNVais7Oxvx8fHw8fFRKPfx8cGpU6dUDa1AmZmZePXqFapWrapQfuPGDVhbW8Pe3h79+/fHrVu3Cm0nKysLGRkZCgsRERFVTConSY6Ojvj333+VylNTU1GnTh2V2kpLS0Nubi4sLCwUyi0sLJCSkqJqaAWaNGkSqlevjvbt28vLmjdvjk2bNiEqKgpr165FSkoKPDw8kJ6eXmA7ISEhMDY2li82NjYlFiMRERGVLSonSXPmzMG4ceOwfft23L9/H/fv38f27dsREBCAefPmFWuU5e15l4QQhc7FpIr58+djy5Yt2LlzJ/T09OTlnTp1Qu/eveHi4oL27dtj//79AICNGzcW2NbkyZPx9OlT+XLv3r0SiZGIiIjKHpVfS9K1a1cAQL9+/eSJjBACANCtWzf5ukwmQ25ubqFtmZmZQVNTU2nUKDU1VWl0qTgWLlyIOXPm4ODBg/jkk08KrWtoaAgXFxfcuHGjwDq6urrQ1dV977iIiIio7FM5STpy5EiJda6jowNXV1fExMSgZ8+e8vKYmBh07979vdpesGABZs+ejaioKLi5ub2zflZWFq5evQpPT8/36peIiIgqBpWTpNatW5doAIGBgRg8eDDc3Nzg7u6ONWvWICkpCWPGjAHw+hLXgwcPsGnTJvk++TeIP3/+HA8fPkRiYiJ0dHTg7OwM4PUltmnTpmHz5s2ws7OTj1RVqlQJlSpVAgAEBQWhW7duqFmzJlJTUzF79mxkZGRwskwiIiICUIwkCQBevnyJixcvIjU1FXl5eQrbPvvsM5Xa8vX1RXp6OmbOnInk5GQ0aNAAkZGRsLW1BfB68si350xq3Lix/P/j4+OxefNm2Nra4s6dOwBeT06ZnZ2NPn36KOw3ffp0BAcHAwDu37+PAQMGIC0tDebm5mjRogVOnz4t75eIiIg+bionSQcOHICfnx/S0tKUthXlPiQp/v7+8Pf3l9wWHh6uVJZ/D1RB8pOlwmzdurUooREREdFHSuWn27766iv07dsXycnJyMvLU1iKkyARERERlUUqJ0mpqakIDAwskafPiIiIiMoqlZOkPn364OjRo6UQChEREVHZofI9ScuXL0ffvn1x/PhxuLi4QFtbW2H7uHHjSiw4IiIiInVROUnavHkzoqKioK+vj6NHjyrMjC2TyZgkERERUYWgcpI0depUzJw5E5MmTYKGhspX64iIiIjKBZWznOzsbPj6+jJBIiIiogpN5UxnyJAhiIiIKI1YiIiIiMoMlS+35ebmYv78+YiKisInn3yidOP24sWLSyw4IiIiInVROUm6dOmS/LUgly9fVtj25k3cREREROWZyknSkSNHSiMOIiIiojKl2Hdf37x5E1FRUfjvv/8AvPt9akRERETlicpJUnp6Otq1awcHBwd07twZycnJAICRI0di4sSJJR4gERERkTqonCRNmDAB2traSEpKgoGBgbzc19cXBw4cKNHgiIiIiNRF5XuSoqOjERUVhRo1aiiU161bF3fv3i2xwIiIiIjUSeWRpBcvXiiMIOVLS0uDrq5uiQRFREREpG4qJ0mtWrXCpk2b5OsymQx5eXlYsGAB2rRpU6LBEREREamLypfbFixYAC8vL8TFxSE7OxvffPMN/vzzTzx69AgnT54sjRiJiIiIPjiVR5KcnZ1x8eJFNGvWDN7e3njx4gV69eqFhIQE1K5duzRiJCIiIvrgVB5JAgBLS0vMmDGjpGMhIiIiKjOKPZkkERERUUXGJImIiIhIApMkIiIiIglMkoiIiIgkqJwk/ffff8jMzJSv3717F6GhoYiOji7RwIiIiIjUSeUkqXv37vLJJJ88eYLmzZtj0aJF6N69O1auXFniARIRERGpg8pJ0vnz5+Hp6QkA2L59OywsLHD37l1s2rQJy5YtK/EAiYiIiNRB5SQpMzMTRkZGAF6/7LZXr17Q0NBAixYt+IJbIiIiqjBUTpLq1KmD3bt34969e4iKioKPjw8AIDU1FZUrVy7xAImIiIjUQeUZt7///nsMHDgQEyZMQNu2beHu7g7g9ahS48aNSzxAIiJ6h2DjYuzztOTjIKpgVE6S+vTpg08//RTJyclo2LChvLxdu3bo2bNniQZHREREpC7FmifJ0tISRkZGiImJwX///QcAaNq0KerVq1esIMLCwmBvbw89PT24urri+PHjBdZNTk7GwIED4ejoCA0NDQQEBEjW27FjB5ydnaGrqwtnZ2fs2rXrvfolIiKij4vKI0np6eno168fjhw5AplMhhs3bqBWrVoYOXIkqlSpgkWLFqnUXkREBAICAhAWFoaWLVti9erV6NSpE65cuYKaNWsq1c/KyoK5uTmmTJmCJUuWSLYZGxsLX19fzJo1Cz179sSuXbvQr18/nDhxAs2bNy9Wv0REH4LdpP0q73NHrxQCISLVR5ImTJgAbW1tJCUlwcDAQF7u6+uLAwcOqBzA4sWLMWLECIwcORJOTk4IDQ2FjY1NgXMu2dnZYenSpfDz84OxsfR1+NDQUHh7e2Py5MmoV68eJk+ejHbt2iE0NLTY/RIREdHHReUkKTo6GvPmzUONGjUUyuvWravyFADZ2dmIj4+XPyGXz8fHB6dOnVI1NLnY2FilNjt06CBvs7T6JSIioopD5cttL168UBhBypeWlgZdXV2V2kpLS0Nubi4sLCwUyi0sLJCSkqJqaHIpKSmFtlncfrOyspCVlSVfz8jIKHaMREREVLapPJLUqlUr+WtJAEAmkyEvLw8LFixAmzZtihWETCZTWBdCKJWVRpuq9hsSEgJjY2P5YmNj814xEhERUdml8kjSggUL4OXlhbi4OGRnZ+Obb77Bn3/+iUePHuHkyZMqtWVmZgZNTU2l0ZvU1FSlUR5VWFpaFtpmcfudPHkyAgMD5esZGRlMlIiIiCoolUeSnJ2dcfHiRTRr1gze3t548eIFevXqhYSEBNSuXVultnR0dODq6oqYmBiF8piYGHh4eKgampy7u7tSm9HR0fI2i9uvrq4uKleurLAQERFRxaTySBLweqRmxowZJRJAYGAgBg8eDDc3N7i7u2PNmjVISkrCmDFjALwevXnw4IHCJb7ExEQAwPPnz/Hw4UMkJiZCR0cHzs7OAIDx48ejVatWmDdvHrp3747ffvsNBw8exIkTJ4rcLxEREX3cVE6SNmzYgEqVKqFv374K5b/++isyMzMxZMgQldrz9fVFeno6Zs6cieTkZDRo0ACRkZGwtbUF8HryyKSkJIV93nz9SXx8PDZv3gxbW1vcuXMHAODh4YGtW7di6tSpmDZtGmrXro2IiAj5HElF6ZeIiIg+bionSXPnzsWqVauUyqtVq4bRo0ernCQBgL+/P/z9/SW3hYeHK5UJId7ZZp8+fdCnT59i90tEREQfN5XvSbp79y7s7e2Vym1tbZVGfIiIiIjKK5WTpGrVquHixYtK5RcuXICpqWmJBEVERESkbionSf3798e4ceNw5MgR5ObmIjc3F4cPH8b48ePRv3//0oiRiIiI6INT+Z6k2bNn4+7du2jXrh20tF7vnpeXBz8/P8yZM6fEAyQiIiJSB5WTJB0dHURERGDWrFm4cOEC9PX14eLiwqfCiIiIqEIp1jxJAODg4AAHB4eSjIWIiIiozFA5ScrNzUV4eDgOHTqE1NRU5OXlKWw/fPhwiQVHREREpC4qJ0njx49HeHg4unTpggYNGrz3i2iJiIiIyiKVk6StW7di27Zt6Ny5c2nEQ0RERFQmqDwFgI6ODurUqVMasRARERGVGSonSRMnTsTSpUuL9GoQIiIiovJK5cttJ06cwJEjR/D777+jfv360NbWVti+c+fOEguOiIiISF1UTpKqVKmCnj17lkYsRERERGWGyknShg0bSiMOIiIiojJF5XuSACAnJwcHDx7E6tWr8ezZMwDAP//8g+fPn5docERERETqovJI0t27d9GxY0ckJSUhKysL3t7eMDIywvz58/Hy5UusWrWqNOIkIiIi+qBUHkkaP3483Nzc8PjxY+jr68vLe/bsiUOHDpVocERERETqUqyn206ePAkdHR2FcltbWzx48KDEAiMiIiJSJ5VHkvLy8pCbm6tUfv/+fRgZGZVIUERERETqpnKS5O3tjdDQUPm6TCbD8+fPMX36dL6qhIiIiCoMlS+3LVmyBG3atIGzszNevnyJgQMH4saNGzAzM8OWLVtKI0YiIiKiD07lJMna2hqJiYnYsmULzp8/j7y8PIwYMQKff/65wo3cREREROWZykkSAOjr62P48OEYPnx4ScdDREREVCaonCRt2rSp0O1+fn7FDoaIiIiorFA5SRo/frzC+qtXr5CZmQkdHR0YGBgwSSIiIqIKQeWn2x4/fqywPH/+HNeuXcOnn37KG7eJiIiowijWu9veVrduXcydO1dplImIiIiovCqRJAkANDU18c8//5RUc0RERERqpfI9SXv27FFYF0IgOTkZy5cvR8uWLUssMCIiIiJ1UjlJ6tGjh8K6TCaDubk52rZti0WLFpVUXERERERqpXKSlJeXVxpxEBEREZUpJXZPEhEREVFFovJIUmBgYJHrLl68uEj1wsLCsGDBAiQnJ6N+/foIDQ2Fp6dngfWPHTuGwMBA/Pnnn7C2tsY333yDMWPGyLd7eXnh2LFjSvt17twZ+/fvBwAEBwdjxowZCtstLCyQkpJSpJiJiIioYlM5SUpISMD58+eRk5MDR0dHAMD169ehqamJJk2ayOvJZLIitRcREYGAgACEhYWhZcuWWL16NTp16oQrV66gZs2aSvVv376Nzp07Y9SoUfj5559x8uRJ+Pv7w9zcHL179wYA7Ny5E9nZ2fJ90tPT0bBhQ/Tt21ehrfr16+PgwYPydU1NzaKfCCIiIqrQVE6SunXrBiMjI2zcuBEmJiYAXk8wOWzYMHh6emLixIkqtbd48WKMGDECI0eOBACEhoYiKioKK1euREhIiFL9VatWoWbNmggNDQUAODk5IS4uDgsXLpQnSVWrVlXYZ+vWrTAwMFBKkrS0tGBpaalSvERERPRxUPmepEWLFiEkJESeIAGAiYkJZs+erfLTbdnZ2YiPj4ePj49CuY+PD06dOiW5T2xsrFL9Dh06IC4uDq9evZLcZ926dejfvz8MDQ0Vym/cuAFra2vY29ujf//+uHXrVqHxZmVlISMjQ2EhIiKiiknlJCkjIwP//vuvUnlqaiqePXumUltpaWnIzc2FhYWFQnlh9walpKRI1s/JyUFaWppS/bNnz+Ly5cvykap8zZs3x6ZNmxAVFYW1a9ciJSUFHh4eSE9PLzDekJAQGBsbyxcbG5uiHioRERGVMyonST179sSwYcOwfft23L9/H/fv38f27dsxYsQI9OrVq1hBvH3/khCi0HuapOpLlQOvR5EaNGiAZs2aKZR36tQJvXv3houLC9q3by+/oXvjxo0F9jt58mQ8ffpUvty7d6/wAyMiIqJyS+V7klatWoWgoCAMGjRIfnlLS0sLI0aMwIIFC1Rqy8zMDJqamkqjRqmpqUqjRfksLS0l62tpacHU1FShPDMzE1u3bsXMmTPfGYuhoSFcXFxw48aNAuvo6upCV1f3nW0RERFR+adykmRgYCB/ZP/vv/+GEAJ16tRRut+nKHR0dODq6oqYmBj07NlTXh4TE4Pu3btL7uPu7o69e/cqlEVHR8PNzQ3a2toK5du2bUNWVhYGDRr0zliysrJw9erVQqceoBISbFyMfZ6WfBxERESFKPZkksnJyUhOToaDgwMMDQ3ll7xUFRgYiJ9++gnr16/H1atXMWHCBCQlJcnnPZo8eTL8/Pzk9ceMGYO7d+8iMDAQV69exfr167Fu3ToEBQUptb1u3Tr06NFDaYQJAIKCgnDs2DHcvn0bZ86cQZ8+fZCRkYEhQ4YU6ziIiIioYnnnSFJeXh40NP5/LpWeno5+/frhyJEjkMlkuHHjBmrVqoWRI0eiSpUqKj/h5uvri/T0dMycORPJyclo0KABIiMjYWtrC+B1MpaUlCSvb29vj8jISEyYMAErVqyAtbU1li1bJn/8P9/169dx4sQJREdHS/Z7//59DBgwAGlpaTA3N0eLFi1w+vRpeb9ERET0cXtnkrR48WI4Ozujc+fOAIAJEyZAW1sbSUlJcHJyktfz9fXFhAkTivWSW39/f/j7+0tuCw8PVypr3bo1zp8/X2ibDg4OhY5ubd26VaUYiYiI6OPyziTJ29sbffr0QXJyMkaMGIHo6GhERUWhRo0aCvXq1q2Lu3fvllqgRERERB/SO+9JatiwIc6ePSu/WfrFixcwMDBQqpeWlsYnv4iIiKjCKNKN2yYmJti9ezcAoFWrVti0aZN8m0wmQ15eHhYsWIA2bdqUSpBEREREH5rKUwAsWLAAXl5eiIuLQ3Z2Nr755hv8+eefePToEU6ePFkaMRIRERF9cCpPAeDs7IyLFy+iWbNm8Pb2xosXL9CrVy8kJCSgdu3apREjERER0Qen0kjSq1ev4OPjg9WrV2PGjBmlFRMREZUDdpP2q7zPnbldSiESotKh0kiStrY2Ll++XOh71YiIiIgqApUvt/n5+WHdunWlEQsRERFRmaHyjdvZ2dn46aefEBMTAzc3N6V3ti1evLjEgiMiIiJSF5WTpMuXL6NJkyYAXr/64028DEdEREQVRZGTpFu3bsHe3h5HjhwpzXiIiIiIyoQi35NUt25dPHz4UL7u6+uLf//9t1SCIiIiIlK3IidJb78sNjIyEi9evCjxgIiIiIjKApWfbiMiIiL6GBQ5SZLJZEo3ZvNGbSIiIqqoinzjthACQ4cOha6uLgDg5cuXGDNmjNIUADt37izZCImIiIjUoMhJ0pAhQxTWBw0aVOLBEBEREZUVRU6SNmzYUJpxEBEREZUpvHGbiIiISILKM24TvU3VN4Hf0SulQIio7As2VrH+09KJg6gIOJJEREREJIFJEhEREZEEJklEREREEpgkEREREUlgkkREREQkgUkSERERkQQmSUREREQSmCQRERERSWCSRERERCSBSRIRERGRBCZJRERERBLKRJIUFhYGe3t76OnpwdXVFcePHy+0/rFjx+Dq6go9PT3UqlULq1atUtgeHh4OmUymtLx8+fK9+iUiIqKPh9qTpIiICAQEBGDKlClISEiAp6cnOnXqhKSkJMn6t2/fRufOneHp6YmEhAR89913GDduHHbs2KFQr3LlykhOTlZY9PT+/5tVVe2XiIiIPi5qT5IWL16MESNGYOTIkXByckJoaChsbGywcuVKyfqrVq1CzZo1ERoaCicnJ4wcORLDhw/HwoULFerJZDJYWloqLO/TLxEREX1c1JokZWdnIz4+Hj4+PgrlPj4+OHXqlOQ+sbGxSvU7dOiAuLg4vHr1Sl72/Plz2NraokaNGujatSsSEhLeq18iIiL6uKg1SUpLS0Nubi4sLCwUyi0sLJCSkiK5T0pKimT9nJwcpKWlAQDq1auH8PBw7NmzB1u2bIGenh5atmyJGzduFLtfAMjKykJGRobCQkRERBWT2i+3Aa8vjb1JCKFU9q76b5a3aNECgwYNQsOGDeHp6Ylt27bBwcEBP/7443v1GxISAmNjY/liY2Pz7oMjIiKickmtSZKZmRk0NTWVRm9SU1OVRnnyWVpaStbX0tKCqamp5D4aGhpo2rSpfCSpOP0CwOTJk/H06VP5cu/evXceIxEREZVPak2SdHR04OrqipiYGIXymJgYeHh4SO7j7u6uVD86Ohpubm7Q1taW3EcIgcTERFhZWRW7XwDQ1dVF5cqVFRYiIiKqmLTUHUBgYCAGDx4MNzc3uLu7Y82aNUhKSsKYMWMAvB69efDgATZt2gQAGDNmDJYvX47AwECMGjUKsbGxWLduHbZs2SJvc8aMGWjRogXq1q2LjIwMLFu2DImJiVixYkWR+yUiIqKPm9qTJF9fX6Snp2PmzJlITk5GgwYNEBkZCVtbWwBAcnKywtxF9vb2iIyMxIQJE7BixQpYW1tj2bJl6N27t7zOkydPMHr0aKSkpMDY2BiNGzfGH3/8gWbNmhW5XyIiIvq4qT1JAgB/f3/4+/tLbgsPD1cqa926Nc6fP19ge0uWLMGSJUveq18iIiL6uJWJp9uIiIiIyhomSUREREQSmCQRERERSWCSRERERCSBSRIRERGRBCZJRERERBKYJBERERFJYJJEREREJIFJEhEREZEEJklEREREEpgkEREREUlgkkREREQkgUkSERERkQQmSUREREQSmCQRERERSWCSRERERCSBSRIRERGRBCZJRERERBKYJBERERFJYJJEREREJIFJEhEREZEEJklEREREEpgkEREREUlgkkREREQkgUkSERERkQQmSUREREQSmCQRERERSWCSRERERCRBS90BEBERlTnBxsXY52nJx0FqxZEkIiIiIglMkoiIiIgkMEkiIiIiklAmkqSwsDDY29tDT08Prq6uOH78eKH1jx07BldXV+jp6aFWrVpYtWqVwva1a9fC09MTJiYmMDExQfv27XH27FmFOsHBwZDJZAqLpaVliR8bERERlU9qv3E7IiICAQEBCAsLQ8uWLbF69Wp06tQJV65cQc2aNZXq3759G507d8aoUaPw888/4+TJk/D394e5uTl69+4NADh69CgGDBgADw8P6OnpYf78+fDx8cGff/6J6tWry9uqX78+Dh48KF/X1NQs/QMmIqIPzm7SfpXq39ErpUCoXFF7krR48WKMGDECI0eOBACEhoYiKioKK1euREhIiFL9VatWoWbNmggNDQUAODk5IS4uDgsXLpQnSb/88ovCPmvXrsX27dtx6NAh+Pn5ycu1tLQ4ekRERESS1Hq5LTs7G/Hx8fDx8VEo9/HxwalTpyT3iY2NVarfoUMHxMXF4dWrV5L7ZGZm4tWrV6hatapC+Y0bN2BtbQ17e3v0798ft27dKjTerKwsZGRkKCxERERUMak1SUpLS0Nubi4sLCwUyi0sLJCSkiK5T0pKimT9nJwcpKWlSe4zadIkVK9eHe3bt5eXNW/eHJs2bUJUVBTWrl2LlJQUeHh4ID09vcB4Q0JCYGxsLF9sbGyKeqhERERUzpSJG7dlMpnCuhBCqexd9aXKAWD+/PnYsmULdu7cCT29/3+RuVOnTujduzdcXFzQvn177N//+nr1xo0bC+x38uTJePr0qXy5d+/euw+OiIiIyiW13pNkZmYGTU1NpVGj1NRUpdGifJaWlpL1tbS0YGpqqlC+cOFCzJkzBwcPHsQnn3xSaCyGhoZwcXHBjRs3Cqyjq6sLXV3dQtshIiKiikGtI0k6OjpwdXVFTEyMQnlMTAw8PDwk93F3d1eqHx0dDTc3N2hra8vLFixYgFmzZuHAgQNwc3N7ZyxZWVm4evUqrKysinEkREREVNGo/XJbYGAgfvrpJ6xfvx5Xr17FhAkTkJSUhDFjxgB4fYnrzSfSxowZg7t37yIwMBBXr17F+vXrsW7dOgQFBcnrzJ8/H1OnTsX69ethZ2eHlJQUpKSk4Pnz5/I6QUFBOHbsGG7fvo0zZ86gT58+yMjIwJAhQz7cwRMREVGZpfYpAHx9fZGeno6ZM2ciOTkZDRo0QGRkJGxtbQEAycnJSEpKkte3t7dHZGQkJkyYgBUrVsDa2hrLli2TP/4PvJ6cMjs7G3369FHoa/r06QgODgYA3L9/HwMGDEBaWhrMzc3RokULnD59Wt4vERERfdzUniQBgL+/P/z9/SW3hYeHK5W1bt0a58+fL7C9O3fuvLPPrVu3FjU8IiIi+gip/XIbERERUVnEJImIiIhIApMkIiIiIglMkoiIiIgkMEkiIiIiklAmnm4jZXaT9qu8zx29gap3FPxU9X2IiIg+AhxJIiIiIpLAJImIiIhIApMkIiIiIglMkoiIiIgk8MZtIiKiMqJYD+3M7VIKkRDAkSQiIiIiSUySiIiIiCTwchsREVF5FmxcjH04R15RcCSJiIiISAKTJCIiIiIJTJKIiIiIJDBJIiIiIpLAJImIiIhIApMkIiIiIglMkoiIiIgkMEkiIiIiksAkiYiIiEgCkyQiIiIiCXwtCREREanMbtJ+lerfmdullCIpPRxJIiIiIpLAJImIiIhIAi+3ERERUekLNi7GPk9LPg4VcCSJiIiISAKTJCIiIiIJTJKIiIiIJJSJJCksLAz29vbQ09ODq6srjh8/Xmj9Y8eOwdXVFXp6eqhVqxZWrVqlVGfHjh1wdnaGrq4unJ2dsWvXrvful4iIiD4eak+SIiIiEBAQgClTpiAhIQGenp7o1KkTkpKSJOvfvn0bnTt3hqenJxISEvDdd99h3Lhx2LFjh7xObGwsfH19MXjwYFy4cAGDBw9Gv379cObMmWL3S0RERB8XtSdJixcvxogRIzBy5Eg4OTkhNDQUNjY2WLlypWT9VatWoWbNmggNDYWTkxNGjhyJ4cOHY+HChfI6oaGh8Pb2xuTJk1GvXj1MnjwZ7dq1Q2hoaLH7JSIioo+LWpOk7OxsxMfHw8fHR6Hcx8cHp06dktwnNjZWqX6HDh0QFxeHV69eFVonv83i9EtEREQfF7XOk5SWlobc3FxYWFgolFtYWCAlJUVyn5SUFMn6OTk5SEtLg5WVVYF18tssTr8AkJWVhaysLPn606ev52/IyMh4x5GqLi8rU+V9MmRC9Y5KIHZVYy0vcQIVPNbyEidQfmItL3EC5SfWEvp85efU2zt9PJ/90s2+bleIwmMqE5NJymQyhXUhhFLZu+q/XV6UNlXtNyQkBDNmzFAqt7GxKXCfD6kY03QBc4u113spL3ECFTzW8hInUH5iLS9xAuUn1vISJ8BY36Esxvns2TMYGxfch1qTJDMzM2hqaiqN3qSmpiqN8uSztLSUrK+lpQVTU9NC6+S3WZx+AWDy5MkIDAyUr+fl5eHRo0cwNTUtNLkqSRkZGbCxscG9e/dQuXLlD9JnRcdzWvJ4Tksez2nJ4zkteeXlnAoh8OzZM1hbWxdaT61Jko6ODlxdXRETE4OePXvKy2NiYtC9e3fJfdzd3bF3716FsujoaLi5uUFbW1teJyYmBhMmTFCo4+HhUex+AUBXVxe6uroKZVWqVCnawZawypUrl+lfwPKI57Tk8ZyWPJ7TksdzWvLKwzktbAQpn9ovtwUGBmLw4MFwc3ODu7s71qxZg6SkJIwZMwbA69GbBw8eYNOmTQCAMWPGYPny5QgMDMSoUaMQGxuLdevWYcuWLfI2x48fj1atWmHevHno3r07fvvtNxw8eBAnTpwocr9ERET0cVN7kuTr64v09HTMnDkTycnJaNCgASIjI2FrawsASE5OVpi7yN7eHpGRkZgwYQJWrFgBa2trLFu2DL1795bX8fDwwNatWzF16lRMmzYNtWvXRkREBJo3b17kfomIiOjjJhPvurWbypSsrCyEhIRg8uTJSpf+qHh4Tksez2nJ4zkteTynJa+inVMmSUREREQS1D7jNhEREVFZxCSJiIiISAKTJCIiIiIJTJKIiIiIJDBJKkfCwsJgb28PPT09uLq64vjx4+oOqdwKCQlB06ZNYWRkhGrVqqFHjx64du2ausOqUEJCQiCTyRAQEKDuUMq1Bw8eYNCgQTA1NYWBgQEaNWqE+Ph4dYdVbuXk5GDq1Kmwt7eHvr4+atWqhZkzZyIvL0/doZUrf/zxB7p16wZra2vIZDLs3r1bYbsQAsHBwbC2toa+vj68vLzw559/qifY98AkqZyIiIhAQEAApkyZgoSEBHh6eqJTp04Kc0hR0R07dgxjx47F6dOnERMTg5ycHPj4+ODFixfqDq1COHfuHNasWYNPPvlE3aGUa48fP0bLli2hra2N33//HVeuXMGiRYvUNtN/RTBv3jysWrUKy5cvx9WrVzF//nwsWLAAP/74o7pDK1devHiBhg0bYvny5ZLb58+fj8WLF2P58uU4d+4cLC0t4e3tjWfPnn3gSN+ToHKhWbNmYsyYMQpl9erVE5MmTVJTRBVLamqqACCOHTum7lDKvWfPnom6deuKmJgY0bp1azF+/Hh1h1Ruffvtt+LTTz9VdxgVSpcuXcTw4cMVynr16iUGDRqkpojKPwBi165d8vW8vDxhaWkp5s6dKy97+fKlMDY2FqtWrVJDhMXHkaRyIDs7G/Hx8fDx8VEo9/HxwalTp9QUVcXy9OlTAEDVqlXVHEn5N3bsWHTp0gXt27dXdyjl3p49e+Dm5oa+ffuiWrVqaNy4MdauXavusMq1Tz/9FIcOHcL169cBABcuXMCJEyfQuXNnNUdWcdy+fRspKSkK31m6urpo3bp1ufvOUvtrSejd0tLSkJubCwsLC4VyCwsLpKSkqCmqikMIgcDAQHz66ado0KCBusMp17Zu3Yrz58/j3Llz6g6lQrh16xZWrlyJwMBAfPfddzh79izGjRsHXV1d+Pn5qTu8cunbb7/F06dPUa9ePWhqaiI3Nxc//PADBgwYoO7QKoz87yWp76y7d++qI6RiY5JUjshkMoV1IYRSGanuq6++wsWLFxVegEyqu3fvHsaPH4/o6Gjo6empO5wKIS8vD25ubpgzZw4AoHHjxvjzzz+xcuVKJknFFBERgZ9//hmbN29G/fr1kZiYiICAAFhbW2PIkCHqDq9CqQjfWUySygEzMzNoamoqjRqlpqYqZeqkmq+//hp79uzBH3/8gRo1aqg7nHItPj4eqampcHV1lZfl5ubijz/+wPLly5GVlQVNTU01Rlj+WFlZwdnZWaHMyckJO3bsUFNE5d///vc/TJo0Cf379wcAuLi44O7duwgJCWGSVEIsLS0BvB5RsrKykpeXx+8s3pNUDujo6MDV1RUxMTEK5TExMfDw8FBTVOWbEAJfffUVdu7cicOHD8Pe3l7dIZV77dq1w6VLl5CYmChf3Nzc8PnnnyMxMZEJUjG0bNlSaWqK69evw9bWVk0RlX+ZmZnQ0FD86tPU1OQUACXI3t4elpaWCt9Z2dnZOHbsWLn7zuJIUjkRGBiIwYMHw83NDe7u7lizZg2SkpIwZswYdYdWLo0dOxabN2/Gb7/9BiMjI/konbGxMfT19dUcXflkZGSkdE+XoaEhTE1Nea9XMU2YMAEeHh6YM2cO+vXrh7Nnz2LNmjVYs2aNukMrt7p164YffvgBNWvWRP369ZGQkIDFixdj+PDh6g6tXHn+/Dlu3rwpX799+zYSExNRtWpV1KxZEwEBAZgzZw7q1q2LunXrYs6cOTAwMMDAgQPVGHUxqPfhOlLFihUrhK2trdDR0RFNmjTh4+rvAYDksmHDBnWHVqFwCoD3t3fvXtGgQQOhq6sr6tWrJ9asWaPukMq1jIwMMX78eFGzZk2hp6cnatWqJaZMmSKysrLUHVq5cuTIEcnP0CFDhgghXk8DMH36dGFpaSl0dXVFq1atxKVLl9QbdDHIhBBCTfkZERERUZnFe5KIiIiIJDBJIiIiIpLAJImIiIhIApMkIiIiIglMkoiIiIgkMEkiIiIiksAkiYiIiEgCkyQi+ih5eXkhICBA3WEQURnGJImIyp1u3bqhffv2kttiY2Mhk8lw/vz5DxwVEVU0TJKIqNwZMWIEDh8+jLt37yptW79+PRo1aoQmTZqoITJF2dnZ6g6BiN4DkyQiKne6du2KatWqITw8XKE8MzMTERER6NGjBwYMGIAaNWrAwMAALi4u2LJlS6FtZmdn45tvvkH16tVhaGiI5s2b4+jRo/LtwcHBaNSokcI+oaGhsLOzk68PHToUPXr0QEhICKytreHg4AAACAsLQ926daGnpwcLCwv06dPnfQ6fiD4QJklEVO5oaWnBz88P4eHhePP1k7/++iuys7MxcuRIuLq6Yt++fbh8+TJGjx6NwYMH48yZMwW2OWzYMJw8eRJbt27FxYsX0bdvX3Ts2BE3btxQKbZDhw7h6tWriImJwb59+xAXF4dx48Zh5syZuHbtGg4cOIBWrVoV+9iJ6MNhkkRE5dLw4cNx584dhdGe9evXo1evXqhevTqCgoLQqFEj1KpVC19//TU6dOiAX3/9VbKtv//+G1u2bMGvv/4KT09P1K5dG0FBQfj000+xYcMGleIyNDTETz/9hPr166NBgwZISkqCoaEhunbtCltbWzRu3Bjjxo17n0Mnog9ES90BEBEVR7169eDh4YH169ejTZs2+Pvvv3H8+HFER0cjNzcXc+fORUREBB48eICsrCxkZWXB0NBQsq3z589DCCG/PJYvKysLpqamKsXl4uICHR0d+bq3tzdsbW1Rq1YtdOzYER07dkTPnj1hYGCg+kET0QfFJImIyq0RI0bgq6++wooVK7BhwwbY2tqiXbt2WLBgAZYsWYLQ0FC4uLjA0NAQAQEBBd5InZeXB01NTcTHx0NTU1NhW6VKlQAAGhoaCpf2AODVq1dKbb2diBkZGeH8+fM4evQooqOj8f333yM4OBjnzp1DlSpV3uPoiai08XIbEZVb/fr1g6amJjZv3oyNGzdi2LBhkMlkOH78OLp3745BgwahYcOGqFWrVqH3FjVu3Bi5ublITU1FnTp1FBZLS0sAgLm5OVJSUhQSpcTExCLFqaWlhfbt22P+/Pm4ePEi7ty5g8OHD7/XsRNR6eNIEhGVW5UqVYKvry++++47PH36FEOHDgUA1KlTBzt27MCpU6dgYmKCxYsXIyUlBU5OTpLtODg44PPPP4efnx8WLVqExo0bIy0tDYcPH4aLiws6d+4MLy8vPHz4EPPnz0efPn1w4MAB/P7776hcuXKhMe7btw+3bt1Cq1atYGJigsjISOTl5cHR0bGkTwcRlTCOJBFRuTZixAg8fvwY7du3R82aNQEA06ZNQ5MmTdChQwd4eXnB0tISPXr0KLSdDRs2wM/PDxMnToSjoyM+++wznDlzBjY2NgAAJycnhIWFYcWKFWjYsCHOnj2LoKCgd8ZXpUoV7Ny5E23btoWTkxNWrVqFLVu2oH79+u997ERUumTi7YvsRERERMSRJCIiIiIpTJKIiIiIJDBJIiIiIpLAJImIiIhIApMkIiIiIglMkoiIiIgkMEkiIiIiksAkiYiIiEgCkyQiIiIiCUySiIiIiCQwSSIiIiKSwCSJiIiISML/AwWtbwbxDp9eAAAAAElFTkSuQmCC",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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}
|
|
],
|
|
"source": [
|
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"def poisson(a, k):\n",
|
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" return np.exp(-a) * a**k / np.math.factorial(k)\n",
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"\n",
|
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"def testpoisson(a, N, borne):\n",
|
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" # Générer l'échantillon de taille N\n",
|
|
" echantillon = [simupoisson(a, borne) for _ in range(N)]\n",
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"\n",
|
|
" # Calculer les fréquences empiriques\n",
|
|
" frequences = [echantillon.count(valeur) / N for valeur in set(echantillon)]\n",
|
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" valeurs = list(set(echantillon))\n",
|
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"\n",
|
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" x = range(0, borne + 1)\n",
|
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" \n",
|
|
" # Tracer le diagramme en bâton\n",
|
|
" width=0.3\n",
|
|
" plt.bar(valeurs, frequences, width=width, align='center', label='mesure empirique')\n",
|
|
" plt.bar(np.array(x) + width, [poisson(a, k) for k in x], width=width, label='loi theorique')\n",
|
|
" plt.xlabel('Valeurs')\n",
|
|
" plt.ylabel('Fréquences empiriques')\n",
|
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" plt.legend()\n",
|
|
" plt.title(f'Diagramme en bâton - Loi de Poisson (a={a}, N={N})')\n",
|
|
" plt.show()\n",
|
|
"\n",
|
|
"testpoisson(4, 1000, 10)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"id": "773ecf2e-3e21-4c65-b8b2-93d6736c0206",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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]
|
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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},
|
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def inverseF(U, alpha):\n",
|
|
" return U**(1/alpha)\n",
|
|
"\n",
|
|
"def simubeta(alpha):\n",
|
|
" return inverseF(np.random.rand(), alpha)\n",
|
|
"\n",
|
|
"def testbeta(alpha, M):\n",
|
|
" echantillon = [simubeta(alpha) for _ in range(M)]\n",
|
|
" x = np.concatenate((np.array([0]), echantillon, np.array([1])))\n",
|
|
" x.sort()\n",
|
|
" y = [0]\n",
|
|
" for i in range(M + 1):\n",
|
|
" y.append(i/M)\n",
|
|
" plt.step(x, y, label=f\"Card={M}\")\n",
|
|
" plt.legend()\n",
|
|
" plt.grid()\n",
|
|
"\n",
|
|
"for alpha in [1, 2, 5, 10]:\n",
|
|
" plt.figure()\n",
|
|
" for m in [10, 100, 1000, 10000]:\n",
|
|
" testbeta(alpha, m)\n",
|
|
"\n",
|
|
" x = np.linspace(0, 1, 200)\n",
|
|
" plt.plot(x, x**alpha, label='Fonction limite')\n",
|
|
" plt.legend()\n",
|
|
" plt.grid()\n",
|
|
" plt.title(f'Loi et mesure empirique de f(U) pour alpha={alpha}')\n",
|
|
" plt.xlabel('x')\n",
|
|
" plt.ylabel('y')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "b247c8ff-b27c-48e0-a8ef-e4ccd3ed22fd",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"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": "3.10.8"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|