From 5211dc754f4c362cf30167ae75c50858ce0dab2d Mon Sep 17 00:00:00 2001 From: Arthur DANJOU Date: Mon, 7 Apr 2025 16:39:59 +0200 Subject: [PATCH] =?UTF-8?q?Add=20TP=20not=C3=A9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- M1/Numerical Methods/TP_DANJOU_Arthur.ipynb | 374 ++++++++++++++++++++ 1 file changed, 374 insertions(+) create mode 100644 M1/Numerical Methods/TP_DANJOU_Arthur.ipynb diff --git a/M1/Numerical Methods/TP_DANJOU_Arthur.ipynb b/M1/Numerical Methods/TP_DANJOU_Arthur.ipynb new file mode 100644 index 0000000..232fb38 --- /dev/null +++ b/M1/Numerical Methods/TP_DANJOU_Arthur.ipynb @@ -0,0 +1,374 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 516, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy.optimize import newton\n", + "from scipy.integrate import quad, odeint" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Question 1" + ] + }, + { + "cell_type": "code", + "execution_count": 493, + "metadata": {}, + "outputs": [], + "source": [ + "k = np.arange(1, 12 + 1)\n", + "m = np.power(2, k)\n", + "\n", + "def f(x):\n", + "\treturn 1 / np.sqrt(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 494, + "metadata": {}, + "outputs": [], + "source": [ + "a, b = 1, 2\n", + "def compute_I(f, a, b, m):\n", + "\th_list = (b - a) / m\n", + "\n", + "\tI = []\n", + "\terrors = []\n", + "\tfor h in h_list:\n", + "\t\tt = np.arange(a, b, h)\n", + "\t\ty = np.array([3 / 4 * h * f(t[i] + h/3) + h/4 * f(t[i] + h) for i in range(len(t))])\n", + "\n", + "\t\tsol_exact = quad(f, a, b)[0]\n", + "\t\tprint(f\"sol_exact = {sol_exact}\")\n", + "\t\terrors.append(np.max(np.power(np.abs(y - sol_exact), 2)))\n", + "\t\tI.append(np.sum(y))\n", + "\treturn I, h_list,errors" + ] + }, + { + "cell_type": "code", + "execution_count": 495, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "sol_exact = 0.8284271247461902\n", + "I1 = [0.8281067086445473, 0.8283842224576623, 0.8284216302273131, 0.8284264316763478, 0.8284270377897814, 0.8284271138586767, 0.828427123384198, 0.8284271245758775, 0.8284271247248971, 0.8284271247435282, 0.8284271247458573, 0.8284271247461485]\n" + ] + }, + { + "data": { + "image/png": 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GuqD6yuvLieznn39+XT2NJ5yF2c8FfZ7G9yjj8R599FGVnOaXX35RJ81SRxl/k18dC3uBIj/yXZBgVcapyIm2XAyR15ITceP36Gbyfg+FfJ43+36W1D4VEnBYXkwyHoeW78H4fcqbwEQCATmOjPtf/s/vuMr72RW3/mX1OkYyhu7ee+/F//3f/6njfs+ePer7JGPM8o5PKsz+ze8zNpbnd+zc6Ng37nepn1xAkb8Pr776qroQJ7+p48ePN40rNe4zGTdpST5Ty+cyyu+3QY6LW/3tJyppzApIVMYkcJKAauHChWrJSwYKS9Bg2SIiJ6R5SZn8wcs734uUy0mVkfwBlz9Oef8g5ZdNTbY5f/78deWSGllYzkMkSS7efPNNdfIvJ25y8ignuaVJrm5KXSSgMrZSiZudRNxMUd53cV/nRp+lJePryfEhV4CtidRd3md+SQ2Mra3CeDxKIJbf8Zqf/I5ZCR6kZU9arSzJiam0nN2IXEmX79jw4cPVQPn8FCZFfEGfp/E9Sh0lKcTXX3+da7vk5OR8n7M4mQ7ltaTeEoBbPk/eZA6loaT2aWHJ/pWAQn5PLd+rJLyR48j4PZLt8vsdzPvZFbf+ZfU6NyKBi/SCkPnlJGFG3hb4knajY19aqowkwYkkc5HPSAI/SXwxadIk1WNDkg4Z95kkeLEMrmR7eS5jkhMia8EWK6IyJN32JHCSiRylu0TeRbJeyQn+8uXLr7sKbXnFUE7I5Oq8tN5YBmBi7ty5ue7/9NNP6g9XYSbqlW5NxuDFksxDI1c4jWl7JQOfdNWQLE1Sb8mMJn8k5SSnNBlPnvKmnpasbHkVpZVF3rd0U5F5lywZ59+R7o4lQZ5HurYYW6SMx4ScBFuSTF1yFff48eMqA2R+i95udJVYsnbJiaW8r/zqHRERobaTDIAi73uXYFKO18KSzyfv8SCZ686ePVvg4+R4ls9DspZJF7P86nqjljNLN/o85TseEhJywzrKSaZl19qSIq8lF1wsAw05QS1sVsDiKMo+Lcr3s6DvrbRi//bbb9d9b43rhfH7m/e3UbrR3Wr981NWryPfL+mtkB/J9Ccsu2yWlrzvU1LAS5e8/P7WyPEorcjShVwueBh/a42fkVwQsCQtu/J3xrieyFqwxYqoDEnAJEGLpBrP74+PpDn+4osv1HgIOUE1kuBJutpJi5Ck/5bHS1pfY4r0vEGYnJTL9jLxsHSTkj9oecey5Ee6aMgYGfmjL61R0i1E/njKiaqkgJauHWLcuHFq3NN///2n+sFLWnI5SZSrpXKyUFBLQXFIH3652iuvL3WVrjNSP5kPLC+5UipkX91xxx1qH8pJjLH7kqVnnnlGnYxJ90y5miqtRPKeZYJj6cKVdyzarXr99dexZMkSlWpb9q+cYEl6ZctU8UICVqmHdOmRMWXSZUzet5zAG/d5fp99WZL9K8eatMLIeBwZMycnhHIMyGciXZqeeuopddVcPicZDyJBuKTyl7ElcnVdujHJsSOfjewTOV7lvhxnlmPwCiLfE7kKLmmX5fOVdO0yxsQY1BREulBJWmm5QCGfs+x3uWgh3XXlwkXesXX5kVYRqbt8z+RzkWNGTm4tU65LHd966y11zEpLq6Sul89XWiWKEkQWhnEaBUlBLt2Lo6Oj1WtL98L8xm+WtMLuUwk8pdVCjhUZqyUt7xIMFCUgkJZK+f6MHDlSpaqXY/Lff/9VrZdy/Mk0AUKmZ5BA/sUXX1TfNTlON2zYgDlz5txy/fNTVq8j3yP5bskYJ/lNlCBMWulkmgRpKZb9UpjjvyTmYnzwwQfVRTY5zuT3Slqf5dgT8rdEvg/STVfS4EsrlByb0sPA2HVc/pcLSTIOS/6mydhAuegg3xUZ6yWtekRWpczSZBCRSgMtmfQkvfeNSGY+yQgnmcaMWcIky5WkGZYsUvJ4ye4lqWYtGbMCbt++XaUol4xRkjpdUlpfuHAh17aSXUmyuuVn79696vGSClheSzL4WWbu+u677/LN5iUpzn19fdV7vFlWwA8++CDfzFWWKaots09JBjEjSTEvacclS6FksXrwwQdVFqu8dUpLS1PrZBvJ7GeZdS+/TGqSaeq+++5T6YEllbFkH5N6WmYvvFH9Rd6sXzcimbOMaaolw5+kxpfMV3nTrQvJpiXpm2W/yvZSb0kjL+mnSzMrYN7PIb+MepK1TOri7+9v2r+WGcYkZbIcO5LFS45FyZQnmbuOHj1q2k5SKUu2MckoKdvJfpHMg3LsWWb0y+84MJLUzpLxTp5DjgmZlmD9+vU3PPbyHrdSLimjJcW5fO5yvLRv396U2awg8nySfVIyHUomP3m8vE/JxGlJjkVJeS6vIe+zefPm6rOVfW+ZWbGg4+tG8juW3333XZUyX44ZSakt31nj78PNyD6LjIzM93Xy+80w7oNb2aeSAVL2l2xj+f2R9yPptvPK7z1I1jpJ3y1Z8eR3U+opKcMt03QLyWgqdZLjVY6THj16qDT4+X1vi3NMlMXrSFp6SVNvnPJA3rf81rdp08bw+eef58pYeqOsgPnt38J+9sbvo2RdlCky5L1KxkjJ2mj5/Zb3LX9/5Lsh6+V73bp16+umFZHMfpIdVF5H9oN8lpKR1Zi2/Ub1sKy35XedSE8O8o/ewR0R5U+uwspVbbkC//zzzxe4rUyuKa0Y0le9pMYEEZU16U4kV62lJSNvNrXyRro3yRgZaWUmshfSQiwTA8vY2vLQLZmoPGFXQCIi0sXq1atVF1LpSijdwqRL57vvvos6deqoKQaIiIisCQMrIiLSha+vL1atWqWymMn4EmlplfFwU6ZMuS4VNBERUXnHroBERERERETFxHTrRERERERExcTAioiIiIiIqJgYWBERERERERUTk1fkIZOvygSuPj4+uWauJyIiIiIi+2IwGFSCJZnA/GaT1zOwykOCqtDQUL2rQURERERE5UR0dDRCQkIK3IaBVR7SUmXceZIKmIiIiIiI7FNSUpJqdDHGCAVhYJWHsfufBFUMrIiIiIiIyKEQQ4SYvIKIiIiIiKiYGFgREREREREVk00GVl999RVq1KgBd3d3tGjRAuvXr9e7SkREREREZMNsLrBasGABnn76abz22mvYuXMnOnbsiDvuuAOnT5/Wu2pERERERGSjHAySnN2GtGnTBs2bN8fXX39tKqtfvz4GDBiAKVOmFCrzh5+fHxITE5m8goiIiIjIjiUVITawqRar9PR0bN++HT179sxVLvc3btyY72PS0tLUDrNciIiIiIiIisKmAqu4uDhkZWWhcuXKucrlfkxMTL6PkVYsiUKNCycHJiIiIiIiuw6sbpRnXno73ij3/CuvvKKa9oyLTAxMRERERERUFDY1QXBgYCCcnJyua52KjY29rhXLyM3NTS1ERERERES3yqZarFxdXVV69dWrV+cql/vt27fXrV5ERERERGTbbKrFSjz77LMYPnw4WrZsiXbt2uHbb79VqdbHjRund9WIiIiIiMhG2Vxgdc899+DSpUuYNGkSzp8/j4YNG2LZsmUIDw/Xu2pERERERGSjbG4eq+LiPFZERERERFTU2MDmWqxsyTvLDuKfIxdhLW6UebHYz1vcxzvo/PhivoOCXt/hFh/oUIz3W/BjS/41c+2/PNs5FPAclo+zXFfY7a6vo0MhXzf/xxT8uDzb5fOWjWVSX9NtizLjhubttVsOuba7fp35cTllFtvmev6c++a6FW5787rr32N+25lfJ3cdZVvHnNc37gNtnfYsjg7mMsvHX1dusf9yr8vv9vXPaVpvsT9M21mW55RJndU9y+fO2UZeHzcoN75vue3kaHzvDnBykNva82nl2jrHnNuyXj2Ho3HbnMc5Xn9be6x2W8pK6zeciMheMLAqx85evoZDMcl6V4OIiOyEZZClbucTyGnBmUVglnPbFNTlBG+m58jn+YyP0W5fH+gZn0MWZycHOKv/HeGS87+UuTg6qvUuTjll6rajeXvHnO3yrNMek3d77b7l9ur1jNs7Oqp6EhEVhIFVOfZE19q4t1WYbq9vgP69RIvbUbW476C4PWWLvQcNRf9sblTlgt6KoYjvv6D3dePXuYU6F7Bd3n2Qe13exxXutQt6zqK8xnWvVpTXyGed8TFy35BnpcFyO4uyvNvn3QfaOvPzXv+43OtyPX8htrespyGf95Pfc5jeq8U6eU3j+5D/s0110J7X+NrZ8r9albN9zraW2xifOjvXc+bUz7h9zraWr2l+Lcvns6yb+TWNddFeK/frqDpa7BNTHS22Me4LY92N6+X/rOzct7X3bECWPHfOOnU757WkzHi7sNTjsnLeAOUicVWu4M4U9GkBWL5leYI7UxCXExga1xkDSJc827s5O8LT1Rnurk7wcMlZXPP/X16PrY5E+mJgVY7VC/YFgvWuBRERWTvLIEv7X7utBWv5BGp5AjP1f8421wV5KvgzP58xGMzvdt7Xz/UaFreNwWKmLFnZOf/L/WxkZFmUZWerclVmum1cl7OdlFmsy8pZp7azeE4pNz5Wbl+3Dw1AemY20tW9LJQ3EpzlCrhcnHICMi04U/fV+pxgzRio5axn8EZUfAysiIiIbJzqblfsEav2wxTUWQRdEqRlGP+3COQyCyrLE9xpwZs5MMywXJfzOMuytMxsXEvP0paMLKRmZCHFeDs9CykZWaYgUP6/kpapltIO3iQo83QtbvDmCA8X51yBoNxm8EbWjIEVERERUZ5A1FUWOKK8k1Y0Y9AlAZgp8DLezwnCpEwWWW9cd62g/8tB8Obv6YJAb1cEeruppZKPGyrJbR9zWUVvV7g5O5VafYiKgoEVERERkZVydXZUi5+HS6k8v3TzlFa2XC1mN2hBMwZueQM9dfsGgZ62TaZpLKBl8BZ3JQ3HYm9eR193ZxV0qWDLGHxZBGSqTK1nEEali4EVEREREeVLuuW5OjuUWfBmDNok2LqckqGCq4vJaYi7kp7zv3m5dCVddZ9MSs1Uy/GLV2/6Wj4ShJkCrtytYdptV9N9aTWjMpJxDTi7Azi9CTi9GchKB0YugbVhYEVEREREVhe8yVi4xGs5wdeVPMGXKQhLNwViErwlp2aqJSru5kGYt5uzCrTMQVc+AVnOfRlDRkV0fC1w/C8tkDq3C8jOMK9zcATSkgE3H1gTHgVEREREZJVj4Sp4uaqlTmWfm7aKJV3LVAFY3pavuGRz8GUMztKzsk1dEk9eSrlpXbxcnVSXQ8tWL8uuiZUsgjEvNzs7/TYYgEvHgTP/AY2HyQenle/8Adi30LyddzAQ1ta8uHjC2tjZJ0tERERE9tgq5ufpopbaQd43D8JSMy1aviwDLwnM0rUWspwATbI3Xk3PwtVLKThViCBMknPk1w2xkjEgy7lfzd9DteJZncx0IGaPuVufLClx2rpqLYBKEdrten20FiljIOUfLh8UrBkDKyIiIiIiyyDMw0UttSrdPAjTEm3kBF85wdbFfMaEScuYMWlHdPw1tRTE3cURzUIroE3NALSuEaBuS0r6cm37LGD5S0Bmau5yJzegWnMg7Yq5rOFAbbEhDKyIiIiIiG4xCPNxd1FLjUCvm25/NSfbYX4tX5ZjwiQok4yKm6IuqUXIHF9NQvxVkCVLy+oBahxYmbscrbVCRee0RnUbD9Ttqa3zraYFVR4VgLB2QGgb7f+qTQFnN9g6B4OE2mSSlJQEPz8/JCYmwtfXV+/qEBEREZGdkdPzY7FXsOVEPP47EY8tJy7hQlJarm0cHYCG1fzQunoA2tSsiFbVK8Df07XkK3M1Dtj/a07Xvi1A0pnc6297Bug+QbudngIkRgMV65jHUtlRbMDAKg8GVkRERERUnsjp+un4lFyBVn5dCesF+6CNatGqiFY1KiDIx71oL5R+FTi7HXD10sZDiYuHgS9bm7dxcAKqNNFaosKkRao94F0JtoqBVTEwsCIiIiKi8u7c5WvYejIem6Mk2LqU7zxeNSt55QRaAWhToyKq+nvk3iD5Qk6Xvi1ai5QkncjOBBoOAgbP0LaRUOGn4UBwYy3JhARcEnjZiSQGVreOgRURERERWRsZlyWBltaiFY9DMUkqJrIUUsFDBVntwv3Qf/NguCYcu/6JfKoCDfoBd7xXZnUvzxhYFQMDKyIiIiKydolJV3Bk13okHf0X3he2IiU1DaPTXzStX+L6Gho6nsQ51xq4WrklfOt2RHDDTnDwD7P6tOcliYFVMTCwIiIiIiKrFPU3ELVWy9Z3dgeQZU54YXB0xobBO7EpOkW1aiVHH8C5LF8kwdytL8DLVSXBkDFa0oWwfhVfOEmWDDuWxMDq1jGwIiIiIqJyTU7fL58CzmzTxkMZW5h+GgEcWGzezjPQPAGvSnveDHDU5sJKzcjCrujL2CJjtE5ewvZTCUjNyM71Mj5uzmhpDLRqBqBRNT+4ONlGtr/SiA04jxURERERUXmWlQlc2Ke1REmSiegtQPJ5bZ0ESxVrabcj+gBuPkBoTiAl5Tfo1ufu4oS2NSuqBaiD9Mxs7D2bqFqzJBnGtpMJSE7LxNrDF9UiPFyc0DzcXyXCkLFaTUP91fOQhi1WebDFioiIiIjKjW0zgVWvA+lXcpc7umgT70qSCWNq9BKUlW3AwfNJKhHGlqhLKjFGQkpGrm1cnRxVcGWctLhFeAV46TFpcSliV8BiYGBFRERERGUq6XxO2vOcFqkek4CanbV1h5YC8+8D3PyA0Nbmbn3VmgMuedKnl6LsbAOOXbyigiwVbJ2IV5kILTk5OqhJi2V8liwtwwPg5+lS6NeITYnFDwd+wPmr5/FBpw9QHjCwKgYGVkRERERUqq7GAQeXmOePkvFSljq9BHR5VbudlgxcPg1Uqg84lp/xTRJCnLokkxbnBFpR8Th7OfekxdILsV6wrynQalUjAIHebtc918nEk5i1fxaWHF+CjGytVWxRv0WoU6EO9MbAqhgYWBERERFRiclIBc7tBFw9gSpNtLKYfcA3HczbODgClSO1lqjQNkD12wCfYFibMwkp5rm0ouIRFXf9pMW1g7xzJiwOgJ9/DBaf+AF/nf4LBmghSfOg5hjTcAw6hnSEo+wXnTGwKgYGVkRERER0y65e0pJLGJNMSFCVlQ40HgYMnKptk52lde+TQEsCqZBWgLvtnXfGJqdi64kE1aolwdahmGTTOifvA/AM/d50v65PGzzUaCx61W4Lh3I0jxYDq2JgYEVERERERZaZDkztCFw8dP0678pA5N1aogk7lZmdicMXT+NsnKcKsjafvIAT7m8g62otpF/qhOz0ymq7YF93ldpdWrXublYNnq76JsNgunUiIiIiopKWlQHE7MlJMrFZRhoB9/ygrXN2BRxzTq0DIyzmj2oLVKhxw7Tnti41MxW/HfsNs/fPVl37lgxYgp6R0s2xAeKursC+M9qExTJOa8+Zy4hJSsXiXeewfG8MBjUPgTVhYEVEREREdCMn/wWi/ta69p3dDmSkmNc5uQGZaYBzTkKGgd8CPlUAzwDYu8S0RCw4vABzD85FfGq8KqvgVgGnkk+hpl9NdT/QyxudI2QJUvevpWdhZ3SCCrQSr2VY3RxZDKyIiIiIiETiGS14qt/P3MK06Svg8FLzNu7+Fq1R7QAHi5N/SUBh52JTYlXr1MIjC5GSqQWhVb2qYmTkSNxd5254ON84RbyHqxPa1wpUizViYEVERERE9kcSSMQeNCeZkK59idHauqf2ABXCtdv17tQSS0iSCQmkAuuWq7Tn5c2ppFP4/oCWlELSpUuGv17Ve8FFJjS2cQysiIiIiMi+bJsBrJ4ApCXmLpfWp+BGQMolc2DV7AFtoXztvrhbBVP9avVT91tWbolhEcNUuvSO1TqWqwx/pc1mAquTJ0/irbfewpo1axATE4OqVavigQcewGuvvQZXV1e9q0dEREREZenKRSA6J8mELD0mAdVz5o7yCNCCKldvLdW5sWtftZaAm7feNS/3JKn4v2f/xYx9M7DtwjZ4OnuiU0gn+Ln5qUDqtbavwR7ZTGB16NAhZGdnY+rUqahduzb27duHhx56CFevXsWHH36od/WIiIiIqLTnj5KxUKdz5pCKP557/amN5sCqVhfgkX+AoEjAyWZOh8skZfqKkyswc99MHEk4osqcHZ3Rs3pPZGRnwN7Z9DxWH3zwAb7++mtERUUV+jGcx4qIiIjICuaMOr8bcPU0J4yQiXi/7Zx7u6AGWktUaFugRkfAt6ou1bUF2y9sx2v/voazV86q+9JKNaTuEDzQ4AEEe0n6dNvEeaxyyA4ICCg43WVaWppaLHceEREREZUj1y4DZ7ZqLVHSrU8y92WmamOf+n+pbVO5EVCzM1C1uZZkIrQV4FFB75pbNWl/MY6RquJVBReuXkCAewAeqP8AhkYMVV3/yA4Cq+PHj+Pzzz/HRx99VOB2U6ZMwcSJE8usXkRERERUSDJH1HddgQv7tcl4LXlWBFy8zPelS9+IxWVeRVt0/sp5ldnvUuolvH/7+6qsqndVfNX9KzQLagZ3Z3e9q1gulfuugBMmTLhp4LN161a0bNnSdP/cuXPo1KmTWqZNm1bkFqvQ0FB2BSQiIiIqq7TnF/aZk0w4OgGDLM7fvmgNxB0GAmppLVFhOWnPK9Y2zzVFJeJYwjHM3D8Ty6KWIdOQqcqWDFiCGn41YK+SitAVsNwHVnFxcWopSPXq1eHu7m4Kqrp06YI2bdpg1qxZcCziPAMcY0VERERUyk5tAk78o3XtO7MNSE82r3PxBF4+DTjlzHskY6l8qgDeQbpV19btjN2JGXtnYN2Zdaay1sGt1RxU7au2t6uU6TY9xiowMFAthXH27FkVVLVo0QIzZ84sclBFRERERCUs+YKWWCKit7ls/UfAsdXm+24yAW9rLcmEJJuAxYl8lSZlW187s/LkSjz/9/PqtgMc0D28uwqoGgY21LtqVqfcB1aFJS1VnTt3RlhYmEqvfvHiRdO64GDbzVRCREREVG5kZwNxR3LPH5VwQlv37EFzVr6IOwB3v5z5o9oBQfW1LoBU6iQtesyVGIT6hqr7t4fcjsqelXFbtdswMnKkXXf7Ky6bCaxWrVqFY8eOqSUkJCTXunLe25GIiIjI+m2dDqx5C7iWkGeFA1C5IXAl1hxYtRqrLVRmUjJSsOjoIpWUQpJP/Nb/Nzg6OMLD2QPLBi6Dq5Or3lW0ejYTWI0aNUotRERERFRKUuKB6P/Mac97vq2lNRfSAiVBlbMHENIypzWqLRDSSltHukhITcC8Q/Pw46EfkZiWqMoqulfEmeQzCPMNU/cZVJUMmwmsiIiIiKgUAqkjK81d+y4eyr3+1L/mwKp2N+DBNUCVxubEE6SbmKsxmLV/lmqlupZ5TZWF+oRiVOQo9K/dH25ObnpX0eYwsCIiIiIiICsTiNkDuHoBlSK0skvHgd/G5d4usK7WEiWJJmp2MpfLZLwhLcq2znRDJxJPYO7Buep2/YD6GNNoDHqE9YATx7KVGgZWRERERPYoLRk4szUnyYSkPd8OZFwFWowG7vrUnJEvvANQrYWWZCK0DeBVUe+aUx6ST2D7he04f/U87qp1lyprW6UthkUMQ9ewruq2PadMLysMrIiIiIjsSXoKMKOXNimvITv3OhkLZdmNz9kVGL2szKtIhZNtyMa66HWYvm869lzcAx8XH3QJ7QJvV28VSL3W9jW9q2hXGFgRERER2WLacxkPZUwyIQFS/y+1da6eWmuVBFX+4eYkE9K1r1I9gPOAlnsZWRn4I+oPNYYqKjFKlbk4uqBXjV5Iy0qDN7z1rqJdYmBFREREZAskW9+Jf4DoLdqSqmWAU1x9gLs+M88VNWg64FvFnP6crMaW81vw6r+vIjYlVt33dvHGPRH34IEGDyDQI1Dv6tk1BlZERERE1uZqHHB+F1C7u7ls7WQgap35votXTtrzdkBYGxmIY17HJBNWN4bKOEaqqndVxF2LQyWPSiqYGlJ3CHwkcCbdMbAiIiIiKs8kIIqPMnfrk+XSUW3d88cA70ra7bp3aGOkVCDVFqjcCHDiqZ41i06Oxuz9s9Xkvu90fMeUMn1qj6loHtSc80+VM/y2EREREZVXW6cB694Frl68fl2l+kDyeXNg1XactpDVOxx/WCWkWHlypUpQ4QAHPNb0MYT4hKj1kuWPyh8GVkRERER6krFQ0VvNLVK93gaqNjN355OgSiZzrdY8J9FEOyCkFeAZoHfNqYS7+22N2YoZ+2Zgw7kNpvIOVTtgTMMxqOZdTdf60c0xsCIiIiIqSynxwLG/gOicbn0X9stptXn9yQ3mwKpOT2DMKqBqU8DZTbcqU+mTLH+SlEI4OjiiV3gvjG44GvUr1te7alRIDKyIiIiISkt2FhB7AHDxBCrW0sokDfqiB3NvV6GGOclEzS7mcpmMlxPy2qT0rHRcuHoBob6h6n63sG4I8gxS81CNjBypxlKRdWFgRURERFRS0q8CZ7ebk0yc2QqkJQGtHwHufF/bpmpzIKR1Tsa+nPmjfCrrXXMqI1fSr2DhkYWYc2AO/N39sfCuhSrjn6eLJ1YMXAEXywmayaowsCIiIiIqrrQrwOy7gJg9QHZm7nWSClsm4zVycQceXF3mVSR9SYr0uQfnYsGhBUjOSNYKHYDzV8+rFOqCQZV1Y2BFREREVNi053FHtSQTMgGvszvQ92NtnZu3NreUBFU+Vc1JJlTa80jzxLxkd84kn1EJKRYfW4z07HRVVsOvBkZHjkbfmn0ZTNkQBlZERERENyLd+k7+C5zeoiWbSLlkXufuD9z5IeDoqN0f9B3gWxXwCwVyJnMlikqMws9Hfla3G1dqrDL8yTgqSVBBtoWBFREREZG4lgDE7AVq3G4uWz0eOLnefF9aqarljI2SxTKbn7pP9p4yfUvMFlxMuYi7at2lyjpW64h7Iu5B7+q90aJyCzWeimwTAysiIiKyz259l09pLVHG+aMuHtTWvXjCPEeUpDt39zN37QtuDDi76lp1Kn+ysrPw5+k/VZe/A5cOwM/NT2X5k4QUEki93vZ1vatIZYCBFREREdmXrdOAfz4Eks9fvy6gFpB01hxYdXiyzKtH1iMtKw1Lji/BrH2zcDr5tCpzd3LHnTXuVOnUJbAi+8HAioiIiGwzS9/Zbea05z3fAoIbaeucXLWgytEZqNLU3K1P0p57V9K75mQl/j37L97Y8IbK9ieklereeveqJcA9JzAnu8LAioiIiGxjfFTUOnMgJWOlDFnm9ac2mgOrur2BkX8A1VoArmxRoKKNoTKOkQrxDsGla5cQ7BWMEQ1GYFCdQWyhsnMMrIiIiMi6ZGcDcYe1RBIBNbSy83uAn0fl3s4vDAhro7VG1e5uLvcO0haiQjqZeBKz9s9CZnYm3r7tbVVW3a86pvWchmaVm8HFkSnTiYEVERERlXcZqcC5neb5o6RFKvUy0PZ/QO93tG1CWgJVmgAhrc1d+/xC9K45Wbl9cftUQoo/T/0JAwwqRfrjzR5XrVSidZXWeleRyhEGVkRERFQ+pSYBcwdrQVWWNrGqiXS5sixz9QIe+afMq0i22d1v07lNKqCS1OlGnUI6qTmojEEVUV4MrIiIiEjftOfxUTktUZsAFy/gjne1dW4+wOXTWgDlFWROeS7d+yTtuRO7X1HJ+/XYrxi/cby67ezgjDtr3olRkaNQp0IdvatG5RwDKyIiIipb53YBpzaYE01cjTWv8wwEek8BJEGALAO/A/yqARVqaPeJSlhqZqqa0DfUN1Td7xneE1/u/BI9q/dUSSmqeFfRu4pkJRhYERERUel254s9oLU2GS1/CYjebL4vA/+rNQdCJdFEO8CQDTg4aetqdCz7OpNdSExLxILDCzD34FzVvW9+n/kq45+3qzdWDF7BhBRUZAysiIiIqOQknrVIMrEJuLBfK3/pJODup92u0127bUwyUbUZ4OKha7XJfly4egE/HPwBPx3+CSmZKarMzckNF69dRJCnli2SQRXdCgZWREREVHxbpwH/fgokRl+/zj8cSDxjDqxuf6HMq0d0Ouk0pu+bjiXHl6i06aK2f22VkKJ3jd4MpqjYGFgRERFR4WRcA85u11qiTm8Ber4NBNXLWemgBVUOjlpiCWOSidC2gC/HqJD+jl0+hkVHF6nbzYOaY2yjsehYraNpwl+i4mJgRURERPm7dhk4+W9OILUZOL8byM4wr4+4wxxY1esDBNTU5pOSbH5EOqdM//fsv0hKT0Kfmn1UWefQzhgWMUzdbxrUVO8qkg1iYEVERERa2vNLxwBnd8Bfy46Gs9uABffn3s6nijntea0uFuXB2kKkI+nit+LkCszcNxNHEo4gwD0A3cK6wd3ZXU3u+1rb1/SuItkwmwys0tLS0KZNG+zevRs7d+5E06a8KkFERJRLZrrWAmVKNLEZSIkDOjwF9JikbRPSGgiKBEJb53Ttawv4hzHtOZU71zKv4dejv+L7A9/j7JWzqszT2RN9a/ZFenY63OGudxXJDthkYPXiiy+iatWqKrAiIiIiC9cSgPn3a2OlMlNzr3NyA9Kvmu+7+wKPbSzzKhIVxdrTa9WEvglpCeq+tFLdX/9+3BNxD/zcchKmEJUBmwusli9fjlWrVuGXX35Rt4mIiOyOdOuTRBLGCXhlzFOPido6d3/g4mEtqPIIMKc8lxapKk0AZze9a09UqDFUxqQToT6hKqiq5l0NoyJHYUDtAarrH1FZs6nA6sKFC3jooYfw22+/wdPTs9DdBmUxSkpKKsUaEhERlZKYvcCpTeZEE8nnco+L6j5B68Iny8BvAb9QILAOu/WRVTl++Thm7JuhUqNPaD9BldWuUBszes1As6BmcHa0qVNbsjK3fPSlp6fjxIkTqFWrFpydncvFlYtRo0Zh3LhxaNmyJU6ePFmox02ZMgUTJ+ZcxSMiIrIG0l0v9hAQ0sJctuRJ4NwO8305wZQWqNCcFilpxTIGUbW7lX2diYphV+wuNQfVuuh16r6zgzMeb/Y4Aj0C1f1Wwa10riHRLQRWKSkpeOKJJzB79mx1/8iRI6hZsyaefPJJNa7p5ZdfLtEKTpgw4aaBz9atW7Fx40bV2vTKK68U6fll+2effdZ0X54jNDQnGxIREVF5kHwBiM7p1ictUuf3aOWvRAOuXtrt2t0BjwrmJBPVWgCuheu9QVQeZRuysf7MetVCtSNWu2jgAAeV5U8m9TUGVUTlhYNBmnqK4KmnnsKGDRvw6aefonfv3tizZ48KrJYsWYLx48erLHwlKS4uTi0FqV69OoYNG4bff/891yRvWVlZcHJywv33328KBG9GAis/Pz8kJibC19e32PUnIiK6ZVunARu/ABJOXL/OtxrwwC9AUH09akZU6uYfmo/JWyar29LFr1+tfmoMVQ2/GnpXjexIUhFigyK3WMn4pQULFqBt27a5gpgGDRrg+PHjKGmBgYFquZnPPvsMb7/9tun+uXPn0KtXL1VXSb1ORERULmWmAed25oyN2gL0mgxUrKWty87KCaocgMqRWkuUsWufca4pIhuRkpGCS9cuIdRXO7bvqHEHvtvznZrQ94EGDyDIM0jvKhKVbGB18eJFBAVdf2BfvXo1V6BV1sLCwnLd9/b2Vv/LGLCQkBCdakVERJRHamLuJBMSVGWZkyih3p3mwKpeXyCgFhDaCnBn2miyTQmpCZh3aJ5awnzC8MOdP6hzSkmVvmLwCpWogsgmA6tWrVph6dKlapyVMAZT3333Hdq1a1fyNSQiIrJW0ts+4aSWwty3qlYmQdW8e3Jv5xloTnke3sFc7ldNW4hs0Lkr59SEvouOLlIT/AofVx/Ep8ajokdFdZ9BFdl0YCVZ9GRs1YEDB5CZmYn/+7//w/79+7Fp0yb8/fffKC9k3FURh48REREVT1YmcGGvef4oWa7EAB2fB7q9oW0T2hqoWAcIa5OTaKIdEFCTac/JbkQlRqkufstPLEeWIUuV1Q+ojzGNxqBHWA84OTrpXUWisgms2rdvr5JXfPjhh6qbnUzG27x5cxVYNWrU6NZqQUREZM1S4oGFo4HorUDG1dzr5Iq7dP8z8gwAnthW5lUkKi+OJhzFH1F/qNttqrTB2IZj0bZK7rH7RHaRFdDWMSsgERHdUNI5c0uUjHnq+ppWnp0NvF9dC6Dc/HJao3ISTVRrDrh46F1zIt1SpsvcU6mZqbiz5p2qLCs7C+9tfQ/9a/dHZMVIvatIVGKxQaECK3nCwrL2YISBFRERmcQeNCeZkP8vnzav8wsDntlrvn9kJeAXClSqBzg66lJdovIiIysDS08sxcx9M1XXP5lzasWgFXBzctO7akT6plv39/e/afOsxGeyjcwdRUREZHUyrgFxR4AqTcxlix4CYiyCJwdHoHLDnEQTbbWWKmMQVbdX2deZqBymTF94ZKFKSnEh5YIq83bxVnNQSbDFwIpsWaECq7Vr15Z+TYiIiMrS1TggeotF2vNdWvkr0eaue7W6AR4B5kAqpBXg5qNrtYnKq9WnVmPCxglIStd6Okkr1fAGwzGk7hCV7Y/I1hUqsOrUqVPp14SIiKgsbJ0GbP4GuHT0+nXelbXufpUitPs9JpZ59YisibHHkgj1CVVBVbhvOEZHjsZdte6Cq5Or3lUkKr9ZAY1SUlJw+vRppKen5ypv3LhxSdSLiIjo1mVlAOf3ANE5Y6N6vg1UqK6ty0g1B1UyHirUmPa8rbYNM5MR3dTh+MOYvm+66ub3Zrs3VVm9gHqY2WsmmgU1Y8p0sktFDqwuXryI0aNHY/ny5fmu5xgrIiIqc2nJOd36cjL2ndkG5Ew4qkT0MQdW9e8CKtbSAipJfU5EhW6d2nZhmwqoNpzdYJrA98lmT8Lf3V/dbxncUudaEllRYPX0008jISEBmzdvRpcuXfDrr7/iwoULePvtt/HRRx+VTi2JiIgsXY4GpIuRT2Xt/vG1wE/Dc2/jUUFLd24cG2VUIVxbiKjQKdPXnl6LGftmYE/cHlXm6OCInuE9MbrhaFNQRWTvihxYrVmzBosXL0arVq3g6OiI8PBw9OjRQ6UfnDJlCvr06VM6NSUiIvuUnQXEHjC3RsmSdAbo/CrQ+SVtG9WNr4Y5yYR07atYh2nPiUrA3INz8f7W99Vtyeo3oPYAjGwwEqG+oXpXjci6A6urV68iKChI3Q4ICFBdA+vWrYtGjRphx44dpVFHIiKy16x9vz4CRP8HpOWZT9HBCbh60XzfOwh4KierHxEVy5X0K4hPjUeYb5i637dmX8zaPwv9a/XHffXvU9n+iKgEAquIiAgcPnwY1atXR9OmTTF16lR1+5tvvkGVKlWK+nRERGTvrlzMSTKxGfDwB25/QSuX7kWntwDpyYCrt9adz5hkoloLwM1b75oT2ZS4a3GqdWrBoQWoU6EOZt8xW5VXcK+AlYNWwtnxlnOeEdmFWxpjdf78eXV7/Pjx6NWrF+bOnQtXV1fMmjWrNOpIRES2JO6oee4oWeKPm9cF1DQHVk7OwN3fAP6hQFCkdp+ISlx0UrRqkfrt2G9Iz9ayPSekJSAxLRF+bn7qPoMqoptzMEiKl2KQtOuHDh1CWFgYAgOtv2k4KSkJfn5+SExMVOPGiIioGDLTtcApqL657Mu2wMWDFhs5AEENgLCctOeNhjDlOVEZOJJwBN/u+VZN7CsJKkTjwMYY02gMuoR2UQkqiOxdUhFigyJdfsjIyFBdAf/44w80aNBAlXl6eqJ58+bFqzEREdmGawlA9FatRUrSn5/drpW/HA0450wUWrOzluZcuvRJ1r7QVloGPyIqU0cTjmLlyZXq9m3VbsOYhmPQsnJL04S/RFQ0RQqsXFxckJaWxi8cERHltnUasHU6ECstUXk6QnhWBC6fBgJra/fveFeXKhLZs6zsLPx1+i9kIxu9q/dWZb2q98Kei3swsM5ARARE6F1FIqtX5A6zTzzxBN577z1MmzYNzs7sb0tEZDeyMoEL+3Im4t0E9JwM+FXT1qUmaSnRRcXa5vmjVNrzWuzaR6STtKw0LDm+BLP3z8appFOo7FkZ3UK7wcXJRY2beqXNK3pXkchmFDky2rJlC/766y+sWrVKpVj38vLKtX7RokUlWT8iItJL+lXgjHTrywmk5Hb6FfP6en2BRoO125EDgMA6WkDlXUm3KhORJjk9GT8d/gk/HPxBZfsTvq6+ag6qjOwMFVgRkc6Blb+/PwYNGlTC1SAiIt0lxwCS+csrJxHRkZXAwtG5t3HzBUJba61RVZrkzuYnCxHpbmnUUry9+W1cydAuhEgr1cjIkRhUZxA8XTz1rh6RzSpyYDVz5szSqQkREZWd7Gwg7og57bnMI5VwEuj2JtDxOW0b6cbnF5qTZCInY59k93N00rv2RJSHJHk2joEP9w1XQVUtv1oY3XA07qxxJ1uoiMoAB0kREdnbZLxLHteCqdTLeVY6AEnaPIWKbxXgmX1lXUMiKoL9cfsxfd90VHSviNfavqbKGgY2xKzes9AsqBlTphOV58CqWbNm+WYFlDJ3d3fUrl0bo0aNQpcuXUqqjkREVFQp8eYkE56BQIcntXIPf+DEP0BGCuDsAYS01FqiZA6pkFaAuzYZKBGV79apTec3Yca+Gdhyfosqc3dyx5PNn4SPq4+636JyC51rSWR/ihxY9e7dG19//bVKXNG6dWv15d62bRv27NmjAqoDBw6ge/fuKolF//79S6fWRESUW/wJrRXK2LUv7rB5XWCEObCS7kD9vwT8w4EqjbX7RGQVMrMz8eepP1VAdTBem2Tb2cEZd9a8E6MiR5mCKiKyksAqLi4Ozz33HN54441c5W+//TZOnTqlsgWOHz8eb731FgMrIqLSkJWhjYeSLHxGc4cAl47m3i6wbk7K8/Zyiduc8rzhwLKtLxGVCEmZ/umOT9VtD2cPlYxiRIMRqOJdRe+qEZH04DNIk1MR+Pn5Yfv27arLn6Vjx46hRYsWSExMxKFDh9CqVSskJyfD2iQlJan3KO/D19dX7+oQEWlzRKm05zlJJs5s08ZDvXwacMq5PvbHs9ocU8YkE/K/V0W9a05ExZCUnoTLqZcR5hum7kva9GF/DFMB1b317oW/u7/eVSSyeUlFiA2K3GIl46g2btx4XWAlZbJOZGdnw83NrahPTURElrZOB7bP0gImQ3budTIW6vIpbfJd0ecjTsJLZCMuXL2g5p+SeagaBTbCtF7TVHmgRyBWDloJJ2bmJCqXihxYPfHEExg3bpxqtZJWKUla8d9//2HatGl49dVX1TYrV65USS6IiKgQac8vHswZH7UZ6Pk24FPZnIAiZo922z8sJ8mEpD5vC1SqBzhaZPtiUEVk9aISozBr3yz8HvW7Gk8lLqVewpX0K/B29Vb3GVQR2VBXQDF37lx88cUXOHxYGxwdERGhAq777rtP3b927ZopS6C1YVdAIipVGdeAs9vNgdSZ/4DURPP6IbOByAHa7bijQMxeLZjyrapblYmodB28dBBT90zFmtNrYIB2WtY8qDnGNhqLjtU65puNmYhsoCuguP/++9VyIx4eHrfytEREtudqHCDzyHgGaPcP/g4seij3Ni5eQGgrrSVKJuA1kuQUlgkqiMgmHUk4gr9O/6VudwntgjENx6BpUFO9q0VERXRLgdXly5excOFCREVF4fnnn0dAQAB27NiBypUro1q1arfylERE1k86AMRH5aQ8z0l7fukY0GMS0OEpbRtpffIOzsnWlzN/VOVG5iQURGTTpIvfypMr4eLogp7Ve6qyO2vciUPxhzC47mDU8s8ZN0lEVuemf8kvXLigAiYjma9K5qmSJrGTJ0/iwQcfVIHVr7/+qtKtf//996VdZyKi8iX5ArD0WS2QSom7fv3laPNtv1DguUMcE0VkZ65lXsNvx35TKdPPXjmLat7V0DWsK5wdneHi5IKXWr+kdxWJqLQDq6lTpyI1NRXvvPOOuv/ss8+qiYDff/99+PiYJ6K74447TGOsiIhs0rXL5rTnXoFA20e1cg9/4OhqICsNcHIDqrXQWqKkRSqklbkboGBARWRXEtMSMf/QfMw9OBcJaQmqrIJbBQyoPUC1XklgRUR2krxCBmpJICWDtWbPnq1aqqTbX61atVRgtXv3btSsWVO1VkkSCwnC9LR06VJMmjRJtax5eXnh9ttvx6JFiwr9eCavIKJcLU0qyUROt77YA9LfT1tXuSHw6AbztrsXABWqA1WbAs6cboKIgMXHFmPylsmqtUpIK9XIyJEqqJIJfonIzpJXyBNJN7+PP/5Y3ZdMf/ICeUmGwEqVKkFPv/zyCx566CHVuta1a1dIzLh3715d60REViI7C0iM1oIjo1l9tLmiLAXU1JJMhLfLXd7knrKpJxGVa9mGbDhKwhoA4b7hKqiKqBChElLImCq2UBHZriKnW3/44Ydx8eJF/PTTT2pslbQMOTk5YcCAAap16NNPP4UeMjMzUb16dUycOBFjx4695edhixWRnUi/mift+Vb5SQReOgEY54lZ/D/gwgFzkgkJqIxzTBERWdgVuwvT901HiHdIrvFSUt6kUhOmTCeyUqWabv3DDz/EnXfeiaCgIDVfVadOnRATE4N27dph8uTJ0It0Tzx79iwcHR3V5MRSp6ZNm6r6RkZG3vBxaWlpajHKrzWOiGzIthnAjjnA+d2AISv3Olef3K1W/b7gmCgiuiG5Nr3+7HpM3zsdO2J3qDJPZ0880ewJeLp4qvtMm05kP4ocWEmk9u+//2LNmjUqmMnOzkbz5s1VpkA9Sep3MWHCBNVtUVqvPvroIxX4HTlyRLWu5WfKlCmqlYuIbIg0xMcdMbdG9XxLSzYhkmOAc9oJEHyrmdOeh0ra80hza5VgUEVE+cjIzsCKEyswY98MHLt8TJVJF79+tfphVOQoU1BFRPalyF0BJZ36PffcAze33IOz09PTMX/+fIwYMaJEKyiB0s0Cn61bt6rgSSYtliyG0l1RSEtUSEgI3n77bTzyyCOFbrEKDQ1lV0Aia5KZBpzbBUTnBFKyXIs3rx/2I1Cvj3Y79hAQs1cLqPxDdasyEVmvr3d9ja92f6Vue7l4YWjdoXigwQMI8gzSu2pEpGNXwCIHVjKe6vz586oroKVLly6psqysPF1riikuLk4tBZHWqU2bNqmEFevXr8dtt91mWtemTRvVmlbYboocY0VkBVLiARkcLmnOxc65wOLHcm8jGbdCWmotUY2HApUidKkqEVm/y6mXkZyejFBf7WJMbEos7l92P+6JuAdDI4bC15XnC0S2qlTHWEkclt8AzDNnzqgXLWmBgYFquZkWLVqoVjTJTmgMrDIyMtQkxuHh4SVeLyIqI3LtJ+EkEL0lJ+35FuDiQaDXFKBdTjAlrU+egeZuffJ/cGPA2VXv2hORFTt35Ry+P/A9Fh1dhOaVm+Ob7t+ocmmZWjFwBZwsuw4Tkd0rdGAlCSEkoJKlW7ducHY2P1RaqU6cOIHevXtDLxJBjhs3DuPHj1dd+SSY+uCDD9S6IUOG6FYvIrpFSeeBFS9r3fquxFy/PuFE7hToLxzjmCgiKhFHE45i5r6ZWHZiGbJyktwkpCYgJSPFNH6KQRUR3XJgJenUxa5du9CrVy94e3ub1rm6uqrueIMGDYKeJJCSgG/48OEqY6F0A5QkGxUqVNC1XkRUgLRk4Mw2LYDyDgJa5UyX4O4HHPoDyM4EHF20iXelW58x0YS3xbx5DKiIqATsvbgX3+z5Bv+c+cdU1qZKG4xtOBZtq7RlynQiKtkxVrNnz1bJK2SiYFvEMVZEpSzpnBZEGbv2SSIJQ7a2rkpT4JG/zdtKWvSAGkDV5oArs2wRUelaeGQhJm6aCAc4oEd4DzWpb2TgjadsISLbl1SaY6xGjhxpygIYGxur0q1bCgsLK+pTEpGtkt+H5HOAX4i5bFp3IOls7u38wrRxUdU75C5vPrxs6klEdicjK0N19ZOsft3DtSljJF16VGKUSkoR7svx2URUNEUOrI4ePYoxY8Zg48aN+Sa1KOmsgERkRTJStTmijCnPpVVKsve9cBxwdNS2Ce8AXDyUk2iiLRDaFvCrpnfNichOyDgpaZmSpBQXUi4gzCcMXUK7qDFTrk6ueLHVi3pXkYjsJbAaNWqUGsf0xx9/oEqVKuxvTETAtpnA7nnAuZ1AVnrudTLQW1qojHNG3T3VHGQREZWR+NR4/HjwR8w7NA9J6UmqLNAjEIPqDlIJKpzAZBREVMaBlSSv2L59O+rVq1fMlyYiqyLDMeOjclqjNgE93wI8chLDXD6ttU4J78rmtOeSZCK4EeDkYn4eBlVEVMZ+PvIz3v/vfaRmpar70s1vVOQo3FXrLrg5ueldPSKy18CqQYMGN52wl4hsQFYGcH4PEJ0TSElAdfWieX39fkDdntrthoOAwLpaQFWhOrP0EZHusg3ZcJSuyACq+1ZXQVXDig0xptEYdA3tynTpRKR/VkBJX/7666/jnXfeQaNGjeDi4nLdfFLWjFkByW6lal1j4J5z3G+fBfz+VO5tnFy1DH1hbYAm9wFBbLkmovJDTmm2XdiG6fumo45/HTzX8jlT+d64vWgU2IhDGIio1GKDIgdWjjndePL+MNlK8goGVmQ3Es+Yk0zIErsfuON9oPVD2vrYQ8DM3lpyCQmkpGufpEN3sc2pFojIulun1p5eixn7ZmBP3B5V5uPigzVD18Ddmb9ZRFRO062vXbu2GFUjIt3nkFr1hjYeKjH6+vVxR823K0UAL0RxTBQRlVvpWelYGrVUBVQnk06qMldHVwyoPUCNoWJQRURlqciBVadOnUqnJkRUctJTgLPbtfFRkkyi+Qit3M0H2L9Im5DXwUlLLCEtUcbU5z7B5ueQVml2mSGicuyb3d/gu73fqds+rj4YFjEM99W/T2X7IyIql4HVnj170LBhQ9UNUG4XpHHjxiVVNyIqrCsXc5JM5CzndwHZmdq6kFa5A6s7PwAq1gaqtQTcvHWtNhFRUcRdi8O1jGsI9dWmbxhSd4hqsZJganDdwWqyXyIivRRqjJUEVDExMQgKClK3ZSxVfg/jGCuiMiDfvSsXzK1Lcv+jCK3Mkk8VrTWq+m1Aq7G6VJWIqCREJ0Vj1v5Z+O3Yb2hftT0+7/Z5vtn/iIjK/RirEydOoFKlSqbbRFSGMtO1Fihja5S0TEk3vuePmLvrSQAl46OMSSZk/ij/MHblIyKrdvDSQTV+atWpVSqAMk70m5aVZpp/ikEVEZUXhQqswsPD871NRKVo20xg78/aWKlMbVJLEzmhSD4P+FbV7g+eAXBOFiKyEbtid+Hr3V9j47mNprIO1TpgbMOxaFm5JVOmE5F1J6/4559/ct2//fbbS6M+RPZFuvFdPq1l6ZNJeHtM0sZBiUvHgFMbtNueFXPSnucsVZoAztrVWoVBFRHZkEPxh1RQJa1Rvar3wpiGY1AvgPPmEZGNBFYjR4403ZYrRVFRUaVVJyLblZUJXNhnDqRObwGSz5nX1+8H1Oqi3W40WEt5Ll37JNkEr9ASkQ2Sbn2/H/8dAe4B6BrWVZVJuvSzV87inoh7EOIToncViYhKNrDi2CqiW5B2RfvfmH1v+0xg2fO5t3F01lqgJICShBNGVZtpCxGRDUpOT8ZPh3/CDwd/UNn+avrVROfQzqqVSuafeq7lc3pXkYiodOexIqICJMfkTjJxfg/Q92OgxShtvXTjc/MFQlubu/ZVawG4eupdcyKiMnEx5SLmHJyDnw//jCsZ2sWnyp6VMajOIGRlZ8HRickoiMiGA6vPPvus0E/45JNPFqc+RNYn8Syw5i2ta1/CyevXxx403w6KBF46yTFRRGSX5h6ci4+2fYSM7Ax1X1qpZPzUnTXuhIuTi97VIyIq/cDqk08+KdSTydgrBlZkszJSgXM7tZYo6bLXZJhWLq1Nu+dLJgr5FgCVG5qTTMjiZzE+wJFXYonIvkgrlFPOxSQJpCSoalqpqQqoOoV2Yrp0IrKvCYLtCScIJpOU+NxJJs7tALLStXVh7YExy83bbv4aCKwDhLQC3P10qzIRUXkgpxabzm9Sc1A1CmyEp5o/ZSrff2k/GgY21LuKRET6TBBMZPPk+oIEUl4Vzfe/aAmkXMq9nVclrRWqRqfc5W0fLbu6EhGV49ap1adWq4DqYLzWDfpI/BE81uQx1dVPerYwqCIiW8XAiuw37XnMHnOSCfnf0QV4dr+2XlKbh7YB4o7mdOlrp/0fUJNpz4mI8kjNTMWS40swa/8sRCdHqzIPZw+VkGJEgxEcP0VEdoGBFdmX7bOBfQuBM9uAjJTc6ySwuhILeAdp94d+D/BkgIjopr7Y+QVmH5itbvu7+eO+evfh3nr3wt/dX++qERGVGQZWZJuSzpnHRnWfYE5nLhn6Tvyj3ZaxUCrleRutRUrmjHLxMD8HgyoionzFpsSqiX1DfULV/Xvq3YO/Tv+FBxo8gLtr3w1PF04hQUT2h4EVWb/sbODioZxAKqdr3+XT5vUN+gHVb9NuNxqsJZmQQKpSPWbpIyIqghOJJ1R3v9+P/64m8/2488eqXAKspQOXMsMfEdm1Wwqs1q9fj6lTp+L48eNYuHAhqlWrhjlz5qBGjRq47bacE1ii0pJxTUsuYWyF2joNWP5C7m3kj3twIy2A8gw0l4e01BYiIiq0PRf3qIQUa06vgUFNLQEkpCYgIyvDNH6KQRUR2bsiB1a//PILhg8fjvvvvx87d+5EWlqaKk9OTsY777yDZcuWlUY9yZ5djcudZOLcLuCu/wOa3a+tD20FuHhp/6uufW214MnNR++aExFZta0xW/H17q/V/0bSUjW24Vg0DWqqa92IiKw+sHr77bfxzTffYMSIEZg/XyZF1bRv3x6TJk0q6fqRvUo8A6x7VwukLh29fn3MXvPt4CbAy6cBJ/ZsJSIqSYfiD6mgytnBGXfWvFNN6lvLv5be1SIiKpeKfCZ6+PBh3H777deVy4RZly9fLql6kb3ITDenPfetAjQcpJU7ewA755i3k/FQxrTnkga9QnXzOjVOil1QiIiKmzL9t2O/IdgrWLVKCUmXHnctTmX4k3IiIirBwKpKlSo4duwYqle3OLEF8O+//6JmzZpFfTqyN9cuA2e2aoGULGe3A5nXtHU1bjcHVjJRb/eJQKUILZDyDNC12kREtioxLRHzD83Hj4d+RHxqPOpUqINOIZ3UZL6S3e+ZFs/oXUUiItsMrB555BE89dRTmDFjhvrRPXfuHDZt2oTnn38eb775ZunUkqw7kPLImcdEEk581hS4lpB7G48K2tiomtoVUpPbni67ehIR2ZmYqzGYc2AOfj7yM67lXOCq5l0NQ+oOQZYhS3X/IyKiwivyr+aLL76IxMREdOnSBampqapboJubmwqsHn/88aI+HdmS7Cwg9kBOa1TOHFKOTsDTe7T1Dg5AtZbApWNalz7j/FEV6zDtORFRGZq9fzY+3fEpMrMz1f26Feqq8VO9qveCsyMDKiKiW+FgMEgzQtGlpKTgwIEDyM7ORoMGDeDt7Q29HTlyBC+88AI2bNiA9PR0NGrUSCXbkCCwsJKSkuDn56eCRxk3RoWw43tg/29aF7+0pNzrHJyA548AXjkpzzPTAGc3XapJRGTPsrKz4CQXuwD8c+Yf/O+v/6FVcCsVUHWo2kH1QiEioluPDW75spSnpydatixf8wH16dMHdevWxZo1a+Dh4YFPP/0Uffv2VfNtBQdz0G2xJV/QUp5H/wd0fQNwcdfKz+8Gjv+l3Xb1yZ32vFoLwM0i6GZQRURUZuTa6fqz6zF973S0rtIa/2v6P1XesVpHLOi7AA0qNtC7ikRE9tViNXDgwEI/4aJFi6CHuLg4VKpUCf/88w86duxomltLIss///wT3bp1K9TzsMUqhxwWcUdzuvTlzCEVH2VeP2alFjgJWX9+j3a/cqTW/Y+IiHSTkZ2BFSdWqEl9j10+psoCPQKxevBqdvUjItKzxUqezEjisF9//VWVGVustm/frlKtFyUAK2kVK1ZE/fr18f3336N58+Zq3NfUqVNRuXJltGjR4oaPkwmOjZMcG3eeXZIuehJMGVuhNn8NrHwlz0YOQFADLYByNx8TWhr0nCCLiIh0I0koFh1dpMZQnb96XpV5OnuqhBTDGwxnUEVEVIoK9Qs7c+ZM0+2XXnoJQ4cOVZMEOzlpLRNZWVl47LHHdG3hkb7hq1evRv/+/eHj4wNHR0cVVK1YsQL+/jlZ6fIxZcoUTJw4EXZHMvNJlz5jkglJe97vc6DJPdr6kJaAs7vWlc84f1RIK3OGPyIiKnc+3f6pSpsuAtwD8ED9BzA0Yij83CwuhhERUflIXiHd7WTOqoiIiOsmDm7fvj0uXbpUohWcMGHCTQOfrVu3qlapAQMGICMjA6+99poaYzVt2jQsWbJErZf5twrbYhUaGmqbXQEvRwPrP9K67l08eP36to8BvaeYM/zJ4uxa5tUkIqLCOX/lvEqNHuITou6fTDyJx9c8jhENRqBfrX5wlwtkRERUJl0BixxYVahQQbVgSRBj6bfffsPo0aORkJBnjqISGDslS0FksmLJBNizZ0/1+pZvuk6dOhg7dixefvll+xljlZUJXNinBVC+VYEG/czJJz6qa96uYm2tNUolmpC057W0lOhERFSuHU04ipn7ZmL5ieXoEd4D73d637RO/qwzwx8RkRVkBZTgacyYMTh27BjattXG1WzevBnvvvuuWlfSAgMD1VKY9O9CugBakvuSEt6mpV3RUp1Hb9G69p3ZBqRf0dbV6mYOrHwqA11eB4LqA6FtAO9KulabiIiKZseFHSohxd9n/jaVJaYnqvmojOOnGFQREemjyIHVhx9+qFKXf/LJJzh/XhsYK93sZOLg5557Dnpp166dak0bOXIk3nzzTdUV8LvvvsOJEydUGnabkpYMuPlotyVo/KQBkJqYexvpTy9pzyWwstTphbKrJxERlYhN5zbh691fY2fsTnXfAQ7oHt5dzUHVMLCh3tUjIqJbCaykBUiCKFmMGfTKQ5c5adWSRBUyvqpr165qrFVkZCQWL16MJk2awGpJ4BR3WOvWp5ZNgJML8MR2bb200FVtBlyKAsLamLv2SasU054TEdmEQ/GHVFDl4uiixk6NihyF6n7V9a4WEREVZ4yVrSt3Y6y+HwBErc1d5uAIvHAc8AzQ7qenAK6eulSPiIhKVkpGCn45+gvCfcNxe8jtquxK+hXVBfDeeveikie7cRMR2cQYKypjwQ21sVOS/lwlmWirpT13t/hgGVQREVm9+NR4/HjwR8w7NA9J6UmoH1AfHat1VGOmvF298WTzJ/WuIhERFYCBVXl3+wtAt/Fa9z8iIrI5Z5LPqAl9fzv2G1KzUlWZtFbJ/FPZhmw4ObBbNxGRNWBgVd65c1JHIiJb9e2eb/HVrq/UXFQismKkSkjRLawbnDhOlojIqjCwIiIiKiMyrFmCKGNq9Fr+tdT9dlXaYWyjsWgd3Jrp0omI7Cmw+uuvv9QSGxt73RxRM2bMKKm6ERER2QTp0rc2eq1KQHF7tdvxSJNHVHmX0C5YeNdCRARE6F1FIiIq68Bq4sSJmDRpElq2bKnmr+KVNSIiovxlZGXgj6g/MHP/TJxIPKHKYlNi8WCjB1VXP0cHRwZVRET2Glh98803mDVrFoYPH146NSIiIrJyVzOuYuGRhfh+//eIvRarynxcfHBPvXtwf/37OX6KiMgGFTmwSk9PR/v27UunNkRERDbgw20fqsBKBHkEYXiD4Rhcd7BKm05ERLbJsagPePDBB/Hjjz+WTm2IiIisUHRyNM5eOWu6f3+9+1HDrwYmtp+I5YOWY1TDUQyqiIhsXJFbrFJTU/Htt9/izz//ROPGjeHiknt+pY8//rgk60dERFRuHYo/hBl7Z2DlqZXoU6MP3un4jiqvXaE2FvdfzHHIRER2pMiB1Z49e9C0aVN1e9++fbnW8Q8IERHZQ8r0/2L+Uxn+Np7baCpPTk9W2f8kIYXg30QiIvtS5MBq7dq1pVMTIiKicu6fM//g611fY98l7cKiBFG9qvdSk/rWC6ind/WIiMhaJwg+c+aMuiJXrVq1kqsRERFROXU4/rAKqtyc3HB37bsxMnIkQnxC9K4WERFZY2AlEwK//fbb+Oijj3DlyhVV5uPjg+eeew6vvfYaHB2LnA+DiIio3JGufT8f+RkRFSLQoVoHVSbp0jOyMzCs3jAEuAfoXUUiIrLmwEqCp+nTp+Pdd99Fhw4dVF/zDRs2YMKECSqxxeTJk0unpkRERGUg7loc5hyYg58O/4QrGVfQOLAx2ldtr3po+Lr64rGmj+ldRSIisoXAavbs2Zg2bRr69etnKmvSpInqDvjYY48xsCIiIqt0Ouk0Zu6fiSXHliA9O12V1fSriSERQ2CAAQ5gMgoiIirBwCo+Ph716l0/QFfKZB0REZG1+WLnF/hu73cqq59oUqmJSkjRObSzKcsfERFRQYr810Jap7744ovryqVM1hEREZV30o1dxkoZ1a1QVwVVt4fcjlm9Z2HOHXPQNawrgyoiIio0B4P8dSmCv//+G3369EFYWBjatWun+pxv3LgR0dHRWLZsGTp27AhrlpSUBD8/PyQmJsLX11fv6hARUQnKys7C6tOr1aS+vWv0Vq1SxvITiSfUxL5ERES3EhsUObAS586dw5dffolDhw6pq34NGjRQ46uqVq0Ka8fAiojI9qRlpWHxscWYtX8WopOjVVmoTyiW3r2UE/kSEZF+gZUtY2BFRGQ7ktKTVHa/Hw78gEupl1SZn5sf7qt3H+6tdy8quFfQu4pERGQjsUGhklfs2bMHDRs2VHNUye2CNG7cuGi1JSIiKiXv//c+Fh9frG4HewVjZIORGFhnIDxdPPWuGhER2ZhCBVZNmzZFTEwMgoKC1G3pNpFfQ5eUZ2VllUY9iYiIbupk4km4ObmhincVdX94g+HYf2m/GkslY6pcHF30riIREdlzYHXixAlUqlTJdJuIiKg82XtxL2bsm4G/Tv+Fu+vcjYntJ6ryiIAILOq3iOOoiIiofARW4eHhptunTp1C+/bt4eyc+6GZmZkqO6DltkRERKVFek5sOLdBBVRbY7aayq+kX1HrjMEUgyoiIiqXEwR36dIF58+fV90CLcmALlnHroBERFTa1pxeg692fYXDCYfVfWcHZ9xZ807V5a+Wfy29q0dERHaoyIGV5VVAS5cuXYKXl1dJ1YuIiOiGDsUfUkGVh7MHBtcdjBENRqjkFEREROU+sBo4cKD6X4KqUaNGwc3NzbROWqkkW6B0ESQiIipJiWmJWHB4ARoFNkK7qu1UmaRKd3JwwrB6w1T6dCIiIqsJrCR/u7HFysfHBx4eHqZ1rq6uaNu2LR566KHSqSUREdmdmKsxmHNgDhYeWYiUzBQ0D2puCqxk/qlHmjyidxWJiIiKHljNnDlT/V+9enU8//zz7PZHRESlIupylEpIsfTEUmRmZ6qyuhXqYmjE0Bt2RyciItKbgyG/CansWFFmVyYiopL18faPMXOfdiFPtKzcUiWkuK3abQyoiIioXMcGRU5eIRYuXIiffvoJp0+fRnp6eq51O3bsuJWnJCIiOyTX9jINmaaJeyMqRKj/u4Z2xZhGY9CkUhOda0hERFQ4jiiizz77DKNHj1bp1nfu3InWrVujYsWKiIqKwh133IHSNHnyZJUgw9PTE/7+/vluI8HeXXfdpboqBgYG4sknn7wu+CMiIn1JF78/ov7A4N8HY97BeabyXtV7YfGAxfi/rv/HoIqIiGw7sPrqq6/w7bff4osvvlBJK1588UWsXr1aBTDSRFaaJEAaMmQIHn300XzXS3bCPn364OrVq/j3338xf/58/PLLL3juuedKtV5ERFQ41zKvYe7BueizqA9eWf8KjiQcwS9Hf1EtV8LZ0Rk1/WrqXU0iIqIiK3JXQGkRMqZVl8yAycnJ6vbw4cNVZkAJuErLxIkT1f+zZs3Kd/2qVatw4MABREdHo2rVqqrso48+UunhpbWLY6aIiPRxOfUy5h2ehx8P/ojLaZdVWYB7AB6o/4BKSsHxU0REZHeBVXBwsJoMODw8XC2bN29GkyZNcOLECdMVR71s2rQJDRs2NAVVolevXkhLS8P27dvRpUuX6x4j62SxHKBGREQla8p/U7DsxDJ1O8Q7BKMiR6F/7f5wd3bXu2pERET6BFZdu3bF77//jubNm2Ps2LF45plnVDKLbdu2mSYR1ktMTAwqV66cq6xChQqqy6Ksy8+UKVNMLWFERFQyjiYchY+rD4K9gtX9EQ1G4ETiCZXhr3t4d9Xlj4iIyK7HWMn4qtdee03dHjdunOqWV79+fRWcfP3110WuwIQJE1QXkIIWCdoKK7/uJAXNe/LKK6+osWHGRboREhHRrdlxYQce/+txDFwyEN/t+c5UHhkYiQV9F6B3jd4MqoiIyCYV+a+bo6OjWoyGDh2qllv1+OOPY9iwYQVuI5MSF7ab4pYtW3KVJSQkICMj47qWLCM3Nze1EBHRrck2ZOOfM/+oSX13xu5UZQ5wQEpmSq4LWxxHRUREtuyWLhumpqZiz549iI2NRXZ2dq51/fr1K9JzSUp0WUpCu3btVJKK8+fPo0qVKqaEFhI4tWjRokReg4iIzFaeXIlvdn+DY5ePqfsyH1W/Wv3UGKrqfoW7KEZERGSXgdWKFSswYsQIxMXFXbdOrkZKyvPSIhkJ4+Pj1f/yOrt27VLltWvXhre3N3r27IkGDRqoDIUffPCB2vb555/HQw89xIyARESl4HD8YRVUebt4Y0jEEAyvPxyVPCvpXS0iIqIy52AoYio/CWIk096bb755w+51pUXSps+ePfu68rVr16Jz587qtgRdjz32GNasWaPSwd9333348MMPC93dT7IC+vn5qfFWDMaIiMwSUhPw46Ef0Tq4NVoFt1JlcdfisPjYYpUyXZJVEBER2ZKixAZFDqzkCXfu3IlatWrBFjGwIiLK7eyVs5i9fzZ+PforUrNS0aZKG0zrOU3vahEREZWr2KDIXQEHDx6MdevW2WxgRURE5m5+M/fPxIoTK5Bl0Lp5N6jYAEPqDikw2yoREZE9KnKLVUpKCoYMGYJKlSqhUaNGcHFxybX+ySefhDVjixUREfDuf+9i7sG5pvttq7TF2EZj0Sa4DQMqIiKyG0ml2WL1448/YuXKlWr8krRcWf6BldvWHlgREdlrynRplZKsfqJ+QH04OjiiR3gPjG44GpEVI/WuIhERkW21WMlcURI8vfzyy7nms7IVbLEiInuSkZWBP6L+UF3+7q13r1qM5eevnkeYb5jeVSQiIrLNFqv09HTcc889NhlUERHZi6sZV7HwyEJ8f+B7xKbEqrJFRxdhWMQw1fvAxcmFQRUREVERFDmwGjlyJBYsWIBXX321qA8lIiKdSXr0Hw/+iPmH5yM5PVmVVfKohBENRmBw3cEcP0VERFRWgZVMzPv++++rcVaNGze+LnnFxx9/fKt1ISKiUvbOlnew+tRqdbu6b3U1fqpvzb5wdXLVu2pERET2FVjt3bsXzZo1U7f37duXax2vdBIRlS+H4g+hglsFVPbSJnSXlqmYqzEY03AMuoR2gZOjk95VJCIiss/kFbaOySuIyNrJz/rWmK2YsW8GNpzbgPvr34+XW7+caz0vhBEREemcvIKIiMqnrOwsrIlegxl7Z2DfJa1HgaRMT81MzbUdgyoiIqKSV6jAauDAgZg1a5aK0uR2QRYtWlRSdSMiokKSlOlTd0/FyaST6r6bkxsG1B6AkZEjEeoTqnf1iIiIbF6hAitp/jJe4ZTbRERUvhyOP6yCKh9XHzUX1X317kNFj4p6V4uIiMhucIxVHhxjRUTWkDJ97sG5uK3abWhRuYUqk7molp9YrlKme7l46V1FIiIim1CqY6z279+PyMjIfNetWLECvXv3LupTEhFRIZxOOo1Z+2dh8bHFSM9Ox8H4g6bAKsgzSHX7IyIiIn04FvUBLVu2xOeff56rLC0tDY8//jjuvvvukqwbERHJBa1L+/Hcuudw12934ecjP6ugqkmlJhhad6jeVSMiIqJbbbGaO3cuHn74YSxbtgwzZ85ETEwM7rvvPrVuw4YNRX06IiIqwMRNE7HwyELT/Y7VOmJso7FoHtSc2f2IiIisucVKsgLu2bMHmZmZaNiwIdq1a4fOnTtj+/btaN68eenUkojIjlKmZ2RnmO5HVoyEk4MT+tbsi1/6/YKvun+luv8xqCIiIipfbmkeq6ysLKSnp6v/ZQkODoabm1vJ146IyE6kZaWpsVMyhmp0w9EYUneIKu9Xqx/aVW2Hat7V9K4iERERlWSL1fz589G4cWOVHePIkSNYunQpvv32W3Ts2BFRUVFFfToiIruWnJ6MaXunodfCXnhr81uITo7Gb0d/M613dXJlUEVERGSL6da9vLzw4Ycf4tFHHzWVxcfHY9y4cSoroKQktGZMt05EZeFiykXMOTgHPx3+CVczrqqyYK9gjGwwEgPrDISni6feVSQiIrJ7SaWZbn3Hjh2IiIjIVRYQEICffvoJc+bMKXptiYjs0KTNk7Auep26Xdu/NsY0HIPeNXrDxdFF76oRERHRLShyYGUMqiRZxcGDB9UA6vr166vEFcOHD7+VOhAR2by9F/eqFqlKnpXUfWmZSkpLUgFVx5COcHQocs9sIiIisuaugLGxsRg2bBjWrVsHf39/yMOlaaxLly5q/FWlStpJg7ViV0AiKiny+7jx3EbM2DcD/8X8p4Kp51s9r3e1iIiIqBRigyJfIn3iiSfUC+zfv1+NrUpISMC+fftU2ZNPPlnUpyMisjmZ2ZlYfmI5hv4xFOP+HKeCKmcHZ5X5j4iIiGxTkVusJGL7888/0apVq1zl//33H3r27InLly/DmrHFioiK49ejv2Lqnqk4e+Wsuu/h7IFBdQZhRIMRqOJdRe/qERERUXlJXpGdnQ0Xl+sHV0uZrCMismdHEo6ooKqCWwXcW/9e3BtxL/zd/fWuFhEREZWyIgdWXbt2xVNPPYV58+ahatWqquzs2bN45pln0K1bt9KoIxFRuRRzNQZzDsxBj/AeaBrUVJVJy1SoTyjurnO3aq0iIiIi+1DkroDR0dHo37+/GlcVGhqqsgKePn0ajRo1wuLFixESEgJrxq6ARHQzUZejMHP/TPwR9YcaT9U5pDM+7/a53tUiIiIia+oKKMGUzGW1evVqHDp0SGW9atCgAbp3716cOhMRlXu7YnepDH9ro9eaylpUboGhEUN1rRcRERHpr0iBVWZmJtzd3bFr1y706NFDLURE9uDV9a/i96jfTfe7hnbFmEZj0KRSE13rRURERFYYWDk7OyM8PBxZWVmlVyMionJAuvgJZ0ftZ7JxpcZYfnI5+tbsi9GRo1HTv6bONSQiIiKrHmM1c+ZM/Pzzz/jhhx8QEBAAW8MxVkT27VrmNZUyffb+2RjXZJxKQiFSM1NxOe0ygr2C9a4iERER2cIYq88++wzHjh1TGQGl9crLyyvXehl/RURkbS6nXsa8w/Mw7+A8JKQlqLLFxxebAit3Z3cEOzOoIiIiohIKrAYMGAC9TJ48GUuXLlVjvFxdXa+bjHj37t1499138e+//yIuLg7Vq1fHuHHjVHp4IqL8nL9yHt8f+B6/HP1FtVaJEO8QjIochf61++tdPSIiIrLVwGr8+PHQS3p6OoYMGYJ27dph+vTp163fvn07KlWqpLopSvbCjRs34uGHH4aTkxMef/xxXepMROXbxE0TseHcBnW7XkA9jG04Ft3Du5vGVhERERGVyhgro23btuHgwYNqHqv69eujRYsWKCuzZs3C008/fV2LVX7+97//qXquWbMm3/VpaWlqsexHKUEZx1gR2aadsTvVBL6BHoHq/qZzmzBt7zQVULWr2k79phERERGV+hirM2fO4N5778WGDRvg7++vyiTAad++PebNm6eCkvJEdkJBSTamTJmCiRMnlmmdiKhsZRuysf7MejUH1Y7YHSqIerrF02qdBFOyEBERERWHY1EfMGbMGGRkZKhWoPj4eLXIbWn4Gjt2LMqTTZs24aeffsIjjzxyw21eeeUVFXwZl+jo6DKtIxGVnozsDCw5vgSDlgzC42seV0GVi6OLKZU6ERERUUkpcovV+vXr1diliIgIU5nc/vzzz9GhQ4ciV2DChAk3bTHaunUrWrZsWaTn3b9/P/r3748333yzwImM3dzc1EJEtuWnwz/hu73fIeZqjLrv5eKFoRFD8UD9BxDkGaR39YiIiMjeA6uwsDDVYpVXZmYmqlWrVuQKSFKJYcOGFbiNZPcrigMHDqBr16546KGH8Prrrxe5TkRk/Y4kHFFBVUX3inigwQMqqPJ15bhJIiIiKieB1fvvv48nnngCX375pUpYIQO9JZGFpDT/8MMPi1yBwMBAtZQUaamSoGrkyJEqPTsR2b5zV86pCX371eqHyMBIVTYyciTqVqirUqa7ObFVmoiIiMpZVsAKFSogJSVFtVA5O2txmfF23smCZfxVSTp9+rR6ziVLluCDDz5Q3RJF7dq14e3trYKqLl26oGfPnrmCPEm3LmnYSzrzBxHp3yo1c99MLD+xHFmGLPQI74GPO3+sd7WIiIjIRpRqVsBPP/0UepHxUrNnzzbdb9asmfp/7dq16Ny5M37++WdcvHgRc+fOVYtReHg4Tp48qUudiahkybUgSUIxfe90rD+rXVwRbau0Vd39iIiIiKxqHitbxRYrovLthb9fwIqTK9RtRwdH1Uo1uuFoRFbUugASERERWUWLlcjKysKvv/6aa4JgycBn7BpIRFRSMrIy1O+Ms6P2+9KkUhOsOb1GjZ0aFTkKYb5heleRiIiIqOiB1b59+1QQFRMTY0q5fuTIETWGScY+NWrUqDTqSUR25mrGVSw8shDfH/gez7R4Bn1r9lXlg+oOQu8avRHoUXJJb4iIiIjKPLB68MEHERkZqTIBSiILkZCQgFGjRuHhhx9Wk/ISEd2qS9cuYe7BuZh/eD6S05NV2e/HfzcFVh7OHmohIiIisurAavfu3bmCKiG3JbV5q1atSrp+RGQnopOjVcr03479hrSsNFUW7huO0ZGjcVetu/SuHhEREVHJBlbS/e/ChQuq1cpSbGysSntORHQrJmycgP9i/lO3G1ZsiDGNxqBraFc4OTrpXTUiIiKikg+s3nnnHTz55JOYMGEC2rZtq8o2b96MSZMm4b333lOZM4yYVY+I8iPJSLfGbEWdCnVQwV1r/ZZEFC6OLhjTcAxaBbdSCSuIiIiIbDbduqOjo/nBOSc+xqewvC+3JXugtWG6daLSk23IVhn9Zuybgb1xezGuyTj8r+n/9K4WERERUdmnW5fJeImIiiI9Kx1/RP2Bmftm4mSSNlm3m5MbsrKt7+ILERERUYkEVp06dbrhul27dqFp06ZFfUoismGS4W/G3hmIvRar7vu4+mBYxDDcX/9+VPSoqHf1iIiIiEpEsWf0lWaxuXPnYtq0aSpjoDV2/yOi0nM04agKqoI8gzCiwQgMrjsYXi5eeleLiIiIqHwEVmvWrMGMGTOwaNEihIeHY9CgQZg+fXrJ1o6IrMrppNOYtX8WhtQdgvoV66sySUbRpFITNQ+Vi5OL3lUkIiIi0j+wOnPmDGbNmqUCqqtXr2Lo0KHIyMjAL7/8ggYNGpRODYmo3Dtw6YBKSLH61GqVoOJK+hW83+l9tS7MN0wtRERERLas0IHVnXfeiX///Rd9+/bF559/jt69e8PJyQnffPNN6daQiMolyf65+fxmFVDJ/0Ydq3XEPfXu0bVuREREROU2sFq1apWav+rRRx9FnTp1SrdWRFTuPbnmSaw7s07ddnJwwh017sDohqNRt0JdvatGREREVObMk1LdxPr165GcnIyWLVuiTZs2+OKLL3Dx4sXSrR0RlRtpWWm50qM3r9wc7k7uuK/efVg6cCmmdJzCoIqIiIjsVpEnCE5JScH8+fPVOKv//vtPZQH8+OOPMWbMGPj4+MDacYJgotyS05Ox4PAClTb9pdYvoXf13qo8JSMFqVmpCHAP0LuKRERERLrHBkUOrCwdPnxYZQKcM2cOLl++jB49emDJkiWwZgysiDQXUy5izsE5+Pnwz7iScUWVdQ7pjM+7fa531YiIiIhsK7Ayklar33//XbViMbAism4nE0+qlOlLji9BRnaGKqvtX1uNn5JxVC6OTJlORERE9iGprAMrW8LAiuzdiOUjsDN2p7rdLKiZmofq9pDb4ehQ6CGZRERERHYXG9zyBMFEZP3kusqmc5sQGRgJPzc/VTY6cjR8XX1VQCUJKoiIiIjo5hhYEdmhzOxMNZnvzH0zcTD+IJ5o9gQebvywWtclrItaiIiIiKjwGFgR2ZHUzFQsPrZYjaE6c+WMKvNw9kCWwZxGnYiIiIiKjoEVkZ2Q1ikJqOJT49V9fzd/3Ff/PtwbcS/83f31rh4RERGRVWNgRWQnjl0+poKqql5VMTJyJO6uc7dqrSIiIiKi4mNgRWSDoi5HYeb+mRjRYATqVKijyh5s9CDaVW2HXtV7MWU6ERERUQljYEVkQ3Zf3I0Ze2dgTfQadT/bkI3Jt01Wt2v41VALEREREZU8BlZENpAy/d+z/2LGvhnYdmGbqbxLaBcMjRiqa92IiIiI7AUDKyIr98jqR7Dp/CZ129nRGX1r9lVzUdX0r6l31YiIiIjsBgMrIitzLfMa3Jzc4OjgqO63Cm6lugAOrjsYwxsMR7BXsN5VJCIiIrI7DgbpR0QmSUlJ8PPzQ2JiInx9ffWuDpFJYloi5h2ahx8P/ojx7cejW1g3VX4146qa8NfPzU/vKhIRERHZbWzAFiuici7magxm75+NX47+olqrxNKopabAysvFS+caEhEREREDK6Jy6vjl4yohxbKoZcg0ZKqyiAoRGNtoLHqE99C7ekRERERkrYHV5MmTsXTpUuzatQuurq64fPnyDbe9dOkSmjRpgrNnzyIhIQH+/v5lWlei4nr939ex79I+dbt1cGuMaTgG7au2h4ODg95VIyIiIqI8tNHvViI9PR1DhgzBo48+etNtx44di8aNG5dJvYiKS+ab+jv6bySnJ5vKpGWqe1h3/Hjnj5jeazo6VOvAoIqIiIionLKqFquJEyeq/2fNmlXgdl9//bVqzXrzzTexfPnyArdNS0tTi+UANaKykpGdgeUnlmPmvpk4dvkYnmnxjGqZEt3Du6uFiIjKl6ysLGRkZOhdDSIqAS4uLnBycrK/wKowDhw4gEmTJmHLli2Iioq66fZTpkwxBWxEZSUlIwWLji7C9we+x/mr501JKJikk4io/JLf6JiYmAKHIhCR9ZEhQ8HBwcXuGWRTgZW0PN1777344IMPEBYWVqjA6pVXXsGzzz6bq8UqNDS0lGtK9mzq7qmYc3COSp8uKrpXxAMNHsDQiKHwdWWKfyKi8soYVAUFBcHT05Pds4ls4GJJSkoKYmNj1f0qVapYd2A1YcKEm7YYbd26FS1btixUkFS/fn088MADhX59Nzc3tRCVleOJx1VQFeoTilGRo9C/dn814S8REZXv7n/GoKpixYp6V4eISoiHh4f6X4Ir+X4Xp1ug7oHV448/jmHDhhW4TfXq1Qv1XGvWrMHevXuxcOFCdd/YrSowMBCvvfYau/xRmTuScESNn3qo8UOo6VdTlT3S+BF0DeuKHmE94ORYMn16iYiodBnHVElLFRHZFs+c77V8z606sJKgR5aS8Msvv+DaNW0CVWNL15gxY7B+/XrUqlWrRF6D6GYkoN8RuwPT907H+rPrVZmLowsmdZikbtfyr6UWIiKyPuz+R2R7HEroe617YFUUp0+fRnx8vPpfmuRlPitRu3ZteHt7Xxc8xcXFqf+leyDnsaKySJm+LnqdmtR398XdqswBDmoy33vq3aN39YiIiIioFFlVYCXp02fPnm2636xZM/X/2rVr0blzZx1rRvZOWqnGrByD7Re2q/uujq7oV7ufGkMV7huud/WIiIiIyszly5fxf//3f3j44YeLnRDCmljVBMEyf5WcwOZdbhRUSbmsZ2sVlVbKdOM4PmlCbh3cGt4u3hjbcCxWDl6J8e3GM6giIiIqAaNGjcKAAQN0ee2TJ0+qv/PGnlLW9r4lV8Gnn35apu9t1KhRanhOWQVV69atU+9D76kQrCqwIioP4lPj8fnOz9FjYQ/TGCoxosEIrBq8Ck+3eBqBHiUzbpCIiKikbNy4UQ3M7927N6yNtH7IBXY9AhmZhuf8+fNo2LAhbIEEWhKI3Op7k4zeTZs2veH6jz76SA3Rkbli7Y1VdQUk0tOZ5DOYvX82fj32K9Ky0lTZshPLcHvI7eq2t6u3zjUkIiK6sRkzZuCJJ57AtGnT1Hh1mfOztEmWNRcXl2I/j5+fH/QiwahMHmuLSuO9PffccyX2XOnp6XB1dYW1YIsV0U0cjj+MF/95EX1/7Yv5h+eroKphxYb4uPPHmNxhst7VIyIiPScXTc/UZTF2RS+sq1ev4qeffsKjjz6Kvn37Xtf6Y+xKtXTpUjRp0gTu7u5o06aNmsbGSB4jwyt+++031K1bV23To0cPREdHX9eaIUFczZo11VyhUlcJ5Pr3769aMnx9fTF06FBcuHBBPebQoUMq3fWPP/5oep5Fixap5ze+ft6WJBnuIUHi008/jQoVKqBy5cr49ttv1fscPXo0fHx8VFKz5cuXmx4jic/Gjh2LGjVqqLmLIiIiVEuYZd1lLP/ixYvVvpBF9kt+3eX+/vtvtG7dWr0/6e728ssvIzMzM1f9nnzySbz44osICAhQwYs8f0Gkfs8++6zaxzJXmjw27+cs999//321b+U9yGdlnGboVuR9b8bj4K+//lJzyMrn0r59exw+fNh0DMj0Rbt37zbtI+OxlJiYqMZUyVxQ8hl37dpVbWfp7bffVuvl83nwwQfVfrNs/TJ+ztLaVbVqVXWciR9++EHVRx4n+/K+++4zTepbUAvt7bffrvaTtMzJ5yHHR2liixVRAeQH7PUNr+NQ/CF1v0PVDhjTcAxaBbdiyl0iIjt3LSMLDd5cqctrH5jUC56uhT+NW7BggQokZHnggQdUUPLGG29c97fshRdeUMGGnLy++uqr6NevH44cOWJqdUpJScHkyZNVACItCY899piaj3TDhg2m5zh27JgK4mQaHOOcQHKy7OXlpQISCUDkcffcc486ka9Xrx4+/PBDVdahQwf1Wg899BDeffddNGrU6IbvSeogwcd///2n3p8EjRL03X333arun3zyCYYPH66COgkQsrOzERISouomU/3IibcxuYIEes8//zwOHjyIpKQkzJw5U72GBEXnzp3L9bpnz57FnXfeqYKA77//XgWGUl8JBC2DJ6mfBEpbtmzBpk2b1Pby/iQYvVEXOglIp0+fjgYNGqj7v/76qwpQjF5//XUVdH799deoU6cO/vnnH/V5VqpUCZ06dUJJkflf5fXleceNG6emL5LPWD6zffv2YcWKFfjzzz9NrYlyvtSnTx+1v5YtW6bKpk6dim7duqnjR8rnzp2rjp2vvvpK7Yf58+er15BA15IEdRKYrV692hRYSsvVW2+9pY5fCaieeeYZtT/ltfIjAXmvXr3UY2R/Xrx4Uc2dK4vxsy0NDKyI8qRMX3t6LdpVbQdPF0/1B0eSUaw5vQajG45G/Yr19a4iERFRkcnJpZyACxljdeXKFXUC271791zbjR8/3nTiL4GBBCJyci+Bh7Fr3xdffKFas4zbyLQ2EtxIC47xJHjOnDnqpFzICfKePXtw4sQJ1XIgZH1kZKSac7RVq1YqqJKTZAmEJGBr0aIFnnrqqQLfk7TWSKAhXnnlFRWIScAkQY4xm7QEIPLabdu2VQGbtLYYyQm9BFcSaMn7k9Y0ad1IS0srsHucBAbyPmQ/yHmCBIYSfL300kvqNR0dtQ5hjRs3VvtTSBAk28s+v1FgJQkm5H0MGjRI3f/mm2+wcqU5cJfWlo8//hhr1qxBu3btVJm0XP37778qiClsYCWtVDcjAZDx+aRVSYKm1NRUtX9kPzk7O+faR1KnvXv3qqBHWvGEBMsS6EqLmgSwn3/+uWoxlBZFIftq1apV6li0JAG4dFe17AIogZ2RvOfPPvtMHW/yWKlPXh988IFq1ZIWTeP+l8fIe5JjQoLg0sDAikj+CGSl44+oPzBz30ycTDqJF1q+gBGRI9S63jV6q4WIiMiSh4uTajnS67ULS7pxSeAjLR1CToql5UFaR/IGVsYTdiGtDNJCIK04RvJY6ZJlJEGFdF2TbYyBVXh4uCmoErJOAhFjUCWkRcb4OAmshNRHun5JYCKtIjfrGSKBi5G0jEn3OcsWLukeKCy7jEmwIiftp06dUlnrJAgsKBFDfqTOsp8s6yctMHKSf+bMGdPYNcv6CWkZu1H3NelGJ0kkLPe/cV8bW20OHDiggpu8gZm8B+MURCXFsu7GzH5S9xuNy9u+fbt6//IZWJJ9fPz4cdNxKAG0JTlmJCizJJ9h3nFVO3fuVK2B0mVR5rSV1kchrZFyLOVXH2k5lVYyI9mP8jgJ8OViQGlgYEV27Ur6Ffx85Gf8cOAHxF7Tfux8XH3YzY+IiG5K/lYUpTuenq1V0v2uWrVquU4ypQUnISFBjVEqSN6/ifn9jbQskxYHS/Ja+T0mb7mMx5FWGQmsYmJi1BibguRNiiHPZVlmfG7jSbi0TEkXMul+JgGMjNeRlg3pqlcU+b0fy+lXCqqfsS63wvhYGQdn+VkKYytRSSloP96oblWqVDFlG7RkOe3RjfabpbzHjxwTPXv2VIuMtZKgXQIq6eonQeWN6vPII4+ocVV5lWbSlvL/a0BUCuSL/MWuLzDv4DwkZySrsiDPIJUyfXDdwfByyf2lJiIiskYSUMk4IAkm5MTUknQ5kyv6Mu7EaPPmzaYTTwm6ZHyMtEpZPt+2bdtMrVPSCiFzB1luk5e0KMiJsCS5MLZaSeuLtNIYWw6kFULGzMjYHgmq7r//fuzYsUN1PSsp69evV4kYLFtNjK0pRtJSIkkkCiLvR8aPWQZY0qVQArW8AU9hyZgkCUxk/0vCBeO+lpaX5s2bm15XAijZlyU5nqqo8ttHUseYmBjVyibp3PMjrZ/ScirdPY3kWLoZGcMWFxenunoaj5+bPU7qs3//ftSuXRtliVkByS7JD+GJxBMqqKrhVwOT2k/CioErMDJyJIMqIiKyGX/88YcKkGRsi8xVZLkMHjxYtWZZmjRpkhoHJF3xJNCRMUuW2fikJUMSX0grjwQ+Ml5Gxi8ZA638SHdD6VpmDJbk5HrEiBEqODB2K5QECXLSLGOmZByRBC2STKIkyUm2nJDLuCUJGCV5h4zxsiRBgYzJkoBRTuZlTFleEphJkCj7QU76JYugjKWSRBXG8VW3QsaUSfAgY9rkeeV1LCe8lcBN9om0usnYNgkKpYvcl19+qe6XFdlH0p1OuuXJPpIxafIZt2vXTh0rsn9lHJcEm/J5GoMg2V9yvEldjx49qjIEyr6+WS8hCfQlmJMxWlFRUViyZIlKSlEQGe8mCUP+97//qXrK68njpA6liYEV2YUDlw7ghb9fwOmk06aycU3G4dMun+K3/r/h7jp3w8Wp+PNsEBERlSdyIisnvfnNAyUtVnLSKcGOkZzYywm+JI+QMT9yMmo53kWy68lJqyQGkBNpaVGS7G4FkRNnSWIgXQ6lNUbqIwkIJJOfkBY1SVwhCS2kxUNeQ1rSZCzUjbK+3QoJ3gYOHKjGl0nyjUuXLl035kcSX0jLigR80uXMMtuhkbRKSb0kQJQEGvK8ErgaE2kUZ/4nCTgloDV2VZQMh5YkoJCkD5KOXFr7pDvc77//fl1mvdIkx40kQOnSpYvaR/PmzVOf8bJly9TnK4kmZKycZIuUAMs41k0Ca0nOIcGhtChJcCbv9WaJJOQ1JKX7zz//rFrt5BiVxBgFkUBeMlBKQNWxY0c1Bk0CaeN4sdLiYCjqRAg2TlJsyo+PNE9LqkeyXnJob4nZghl7Z2DT+U2qbGjdoXij3Rt6V42IiKyMJA2QE0E5gS2tjGJ6krExcqIsrVuWY2IsycmtZFmzbEUhKo4ePXqo7IISVJfX73dRYgOOsSKbk5Wdhb9O/4Xp+6arlirh5OCEXtV7YWiEli6WiIiIiMpOSkqKysoorWySxVFaumQuLEnHbysYWJHNtVI9sOwB7Lu0T913d3JX3fxk7FQ171sbUEpERERExeOQ011QxlbJuCzpcilJQPKm/LdmDKzIJlKmS8IJ+cLKIpP7nk4+jfvq34d7692LAPcAvatIRERUrnXu3Dnf1NeWZDyMLES3wsPDQ7VQ2TIGVmS1LqZcxJyDc/Dz4Z/xUaeP0L5ae1U+uuFoPNjoQXi6eOpdRSIiIiKyEwysyOqcTDyJWftnYcnxJcjI1tKgrjy10hRYyQS/RERERERliYEVWY19cfswY98M/HnqTxigdVdoFtQMYxqOwe0h2mR6RERERER6YGBFVkH6fb/+7+s4nqjNkN4ppJMKqJpX1mYjJyIiIiLSEwMrKpcyszNVynRpifJw9lBJKcY2GovN5zdjVOQo1KlQR+8qEhERERGZMLCiciU1MxWLjy1WY6jOXDmDV1q/orL7ibtq3aUWIiIiIqLyhoEVlQtJ6UlYcGgBfjj4A+JT41WZv5u/mtiXiIiIipdKvWnTpvj000/1rgqRTWNgRbqPnfpk+ydYcHgBUjJTVFlVr6oYETkCd9e+mynTiYiIiMgqMLAiXcnYqRNJJ1RQVdu/tkpI0btGb7g4uuhdNSIiIiKiQnMs/KZExbfn4h48u+5ZnLtyzlT2eNPH8WW3L7Go3yI1hopBFRERWZX0qzdeMlKLsO21wm17C7Kzs/Hiiy8iICAAwcHBmDBhQjHeMBHlhy1WVCbd/f49+6+ag2rbhW2qLMgzCC+3flndjgiIUAsREZFVeqfqjdfV6Qnc/7P5/ge1gQyt6/t1wm8DRi813/+0EZBy6frtJiQWuYqzZ8/Gs88+iy1btmDTpk0YNWoUOnTogB49ehT5uYgofwysqFRTpq88uRIz983E4YTDqszZwRl9avbBkLpD9K4eERGR3WjcuDHGjx+vbtepUwdffPEF/vrrLwZWRCWIgRWVimxDNob9McwUUMlcVIPrDsaIBiMQ7BWsd/WIiIhKzqvm7u3XyZvd9oVjBWybZ4TG03tRkoGVpSpVqiA2NrbEnp+IGFhRCadM93HxUQkpHB0c0a5qO8SmxOL++vdjWL1h8HPz07uKREREJc/VS/9tb8LFJff4ZflbLeOuiKjkMLCiYou5GoPZ+2fjl6O/qCQUrYJbqfKHGz+Mx5o+plqriIiIiIhsGQMrumXHLx9XCSmWRS1DpiFTla06ucoUWPm4+uhcQyIiIiKissHAiopsV+wuTN87HevOrDOVSTA1tuFYtK/aXte6ERERERHpgYEVFTkpxesbXseppFNwgAO6hXVTk/o2qtRI76oRERFRPtatM18INfrtt990qQuRLbOqCYInT56M9u3bw9PTE/7+/jfcbtasWSr7jbu7u5oE7/HHHy/TetqSjOwMLI1airSsNHVfklI81OghDKwzEIsHLMYnXT5hUEVEREREds+qWqzS09MxZMgQtGvXDtOnT893m48//hgfffQRPvjgA7Rp0wapqamIiooq87pau5SMFPx67FeVlOL81fN4M/NN09xT/Wv3VwsREREREVlhYDVx4kRTi1R+EhIS8Prrr+P3339Ht27dTOWRkZFlVkdrl5CagHmH5qnlctplVRbgHgCnvPNwEBERERGRdQZWN7N69Wo1J8PZs2dRv359JCcnq66D0oIVGhqa72PS0tLUYpSUlAR7lJWdhQ+3fahSpl/LvKbKQn1CMSpyFPrV6gd3Z3e9q0hEREREVG5Z1Rirm5EufxJYvfPOO/j000+xcOFCxMfHo0ePHqobYX6mTJkCPz8/03KjAMzWOTk64WTSSRVU1Q+ojw86fYDfB/yOoRFDGVQREREREZX3wGrChAlq9u+Clm3bthXquSSoysjIwGeffYZevXqhbdu2mDdvHo4ePYq1a9fm+5hXXnkFiYmJpiU6Ohr2YMeFHXhizRNqcl+jJ5s9iak9pmJB3wXoXb23CraIiIiIiMgKugJKxr5hw4YVuE316tUL9VxVqlRR/zdo0MBUVqlSJQQGBuL06dP5PsbNzU0t9pIq/e/ov9Wkvrsu7lJl4T7heL7V8+p2/Yr1da4hEREREZF10j2wkqBHlpLQoUMH9f/hw4cREhKibktXwLi4OISHh8NeZWRlYNmJZZi5byaOJx5XZS6OLmrs1OC6g/WuHhERERGR1dM9sCoKaXWSQEn+z8rKwq5dWqtL7dq14e3tjbp166J///546qmn8O2338LX11d19atXrx66dOkCe01KMej3QTiReELd93bxVuOmHqj/ACp5VtK7ekRERERENkH3MVZF8eabb6JZs2YYP348rly5om7LYjkG6/vvv1fzV/Xp0wedOnWCi4sLVqxYof63F4lpiabbMk6qQ9UOCPQIxDMtnsGqwavU/wyqiIiI7EPnzp3x9NNPF2rbZ599Vo1vHzhwoLqITUQ2GljJ/FUGg+G6RX4wjKSVSiYPljmtLl26hEWLFtlNpr8zyWcwefNkdP+5O3bG7jSVP9r0UawYtAJjGo6Bj6uPrnUkIiKi8mny5Mn47rvvMHXqVGzatAmPPPLIddusW7dO9Q6Sce1eXl5o2rQp5s6dq0t9icobq+oKSPk7HH8Y0/dNx6qTq5Bl0K4u/XnqTzQLaqZu+7r66lxDIiIiKs9kCIXM+ylzgkpWZRlC0b17d7z00kt47733TNtt3LgRjRs3VuWVK1fG0qVLMWLECHVh+6677tL1PRDpjYGVlZKWum0XtqmAasPZDaby9lXbq5ap1sGtda0fERGRvUjJSLnhOumS7+bkVqhtHR0cc80deaNtPV08i1xHmZLmxRdfxLRp0+Dq6opx48apKW+EzPspwyzWrFmjWqBEnTp1sH79enTr1g0VK1ZUjxWvvvpqrud98sknsXLlSvz6668MrMjuMbCy4tTpb254E2eunFE/xD3De6qAiinTiYiIylabH9vccF3Hah3xVfevTPc7/9QZ1zKv5btty8otMbP3TNP93r/0RkJawnXb7R25t8h1nD17tho/tWXLFtXNb9SoUSqbco8ePTB48GC15BUWFqbmAr0ZmQe0fn2efxAxsLIS6VnpWHlypZq418XJRV0Be6jxQzhw6QBGNhiJUF/7GEdGRERERSfd96RVytga9cUXX+Cvv/5SgVVxSGvX1q1b1bgsInvHwKqcu5J+BQuPLMScA3MQey1WjaEaUHuAWjewzkC1EBERkX623LflhuvkQqildUPX3XBb6YFiSRJPlWRgZUmST8TGxhbrOSWRhbR8ScKLyMjIYtaQyPoxsCrn3f2GLR2GU0mn1P0gjyA4OeT+gSYiIiJ9FWXMU2ltezN5p52RlOoy7upW/f3332pM1ccff6ySVxARA6tyTa5c9anZB8uilqnxU3Lb1clV72oRERGRHZOWqr59+6psgQ8//LDe1SEqNxhYlXMSUD3S+JHrugcQERER6RFU9enTB0899RQGDRqEmJgYVS6ZBgMCAvSuHpGueLZezkmKVgZVREREVB7MmjULKSkpmDJlihqnZVwGDuSYbyIHg0yIRCZJSUnw8/NTqUNlsjsiIiKi1NRUnDhxAjVq1IC7u3muKSKy7e93UhFiAzaFEBERERERFRMDKyIiIiIiomJiYEVERERERFRMDKyIiIiIiIiKiYEVERERUSEx5xeR7TGU0PeagRURERHRTbi4uKj/JdU4EdmWlJzvtfF7fqs4QTARERHRTTg5OcHf3x+xsbHqvqenJxwcHPSuFhEVs6VKgir5Xsv3W77nxcHAioiIiKgQgoOD1f/G4IqIbIO/v7/p+10cDKyIiIiICkFaqKpUqYKgoCBkZGToXR0iKgHS/a+4LVVGDKyIiIiIikBOwkrqRIyIbAeTVxARERERERUTAysiIiIiIqJiYmBFRERERERUTBxjdYMJwpKSkvSuChERERER6cgYExRmEmEGVnkkJyer/0NDQ/WuChERERERlZMYwc/Pr8BtHAyFCb/sSHZ2Ns6dOwcfHx+7nfhPInMJLKOjo+Hr66t3dWwe93fZ4z4vW9zfZYv7u+xxn5ct7u+yZ8/73GAwqKCqatWqcHQseBQVW6zykB0WEhKidzXKBfni2NuXR0/c32WP+7xscX+XLe7vssd9Xra4v8ueve5zv5u0VBkxeQUREREREVExMbAiIiIiIiIqJgZWdB03NzeMHz9e/U+lj/u77HGfly3u77LF/V32uM/LFvd32eM+LxwmryAiIiIiIiomtlgREREREREVEwMrIiIiIiKiYmJgRUREREREVEwMrIiIiIiIiIqJgRUV6MiRI+jfvz8CAwPVhHAdOnTA2rVr9a6WTVq3bh0cHBzyXbZu3ap39Wza0qVL0aZNG3h4eKhjfeDAgXpXyWZVr179uuP75Zdf1rtadiEtLQ1NmzZV+3zXrl16V8dm9evXD2FhYXB3d0eVKlUwfPhwnDt3Tu9q2aSTJ09i7NixqFGjhvr9rlWrlspcl56ernfVbNrkyZPRvn17eHp6wt/fX+/qlCsMrKhAffr0QWZmJtasWYPt27erP8p9+/ZFTEyM3lWzOfIjdf78+VzLgw8+qE5EW7ZsqXf1bNYvv/yiTnxGjx6N3bt3Y8OGDbjvvvv0rpZNmzRpUq7j/PXXX9e7SnbhxRdfRNWqVfWuhs3r0qULfvrpJxw+fFj9vhw/fhyDBw/Wu1o26dChQ8jOzsbUqVOxf/9+fPLJJ/jmm2/w6quv6l01myaB65AhQ/Doo4/qXZVyh+nW6Ybi4uJQqVIl/PPPP+jYsaMqS05OVi1Xf/75J7p166Z3FW1aRkYGQkJC8Pjjj+ONN97Quzo2SS4aSOA6ceJEddWTSp/s76efflotVHaWL1+OZ599Vp3oR0ZGYufOnepCGZW+JUuWYMCAAarF0MXFRe/q2LwPPvgAX3/9NaKiovSuis2bNWuW+i2/fPmy3lUpN9hiRTdUsWJF1K9fH99//z2uXr2qTkLlqlDlypXRokULvatnF3+MJbgdNWqU3lWxWTt27MDZs2fh6OiIZs2aqW47d9xxh7rySaXnvffeU78vcmIvXUrYbad0XbhwAQ899BDmzJmjuu5Q2YmPj8fcuXNVjwQGVWUjMTERAQEBeleD7BQDK7oh6Ye/evVqdWXTx8dH9ReXZvYVK1awT20ZmD59Onr16oXQ0FC9q2KzjFc0J0yYoLqj/fHHH6hQoQI6deqkToio5D311FOYP3++GqsprbGffvopHnvsMb2rZbOkU4pcnBk3bhy7FJehl156CV5eXuoCwunTp7F48WK9q2QXpNvl559/ro53Ij0wsLJDchJ5oyQJxmXbtm3qD7Kc8AQFBWH9+vX477//VCILGWMl4yKoZPe3pTNnzmDlypXsnlbK+1z65ovXXnsNgwYNUi2xM2fOVOt//vlnvd+GTR7jzzzzjApcGzdurMYQyngIuYhw6dIlvd+GTe5zOclMSkrCK6+8oneV7ep3/IUXXlAXJVetWgUnJyeMGDFC/U2l0vu7KQlCevfurcb+yG8Llf4+p+txjJUdku5lstxsHIQM4u/ZsycSEhLUuCqjOnXqqBN+ZvIq2f0tLYJGb731ljohkm5q7D5Sevt806ZN6Nq1q7pwcNttt5nWSYbA7t27q25qVDrHuJEc4zKWcPPmzWq/U8nu82HDhuH3339XJ0VGWVlZ6mT//vvvx+zZs8ugtvZ9jMuFMul5sHHjRrRr164Ua2m/+1uCKkkaIr8hMu5HundT6R/jHGN1Ped8ysjGSTppWW4mJSVF/Z/3B0ruG6/0U8ntbyO51iGtJnKFk0FV6e5zaaFyc3NT2buMgZUkDZEUvuHh4WVQU/s8xi3JVX0h49uo5Pf5Z599hrffftt0X05ApYvxggULGMiW0TFuvH4tySuo5Pe3XJyRoMrY44BBVdkf42TGwIpuSK6syXiTkSNH4s0331RzRHz33Xc4ceKESsNOpUNS28s+ZjfA0ictsdIXX+Y9kSvKEkxJRikh3UmoZEkLobRMyUmQn5+fmp9NugYa5/2hkpd3v3p7e6v/Zb4faSmkkiVd5mWRCzXy91PGccrfT9nfbK0qeXKhoHPnzuo4//DDD3Hx4kXTuuDgYF3rZstk3KCMQ5b/pQXcOC9e7dq1Tb8x9oqBFd2QXLmQRBUy/kS6S8mVfEnTK4NwmzRponf1bJaMN5EMUpKRkUqfBFLOzs5qLqtr166pq/gS3MpJEZUsaR2UlhJJby9X7yWQlWx1Mr8SkS2QC5CLFi1SF2skm660xMq4H0nYIsc/lSwZw3bs2DG15L1QwJEupUcuFlh2I5asumLt2rUq0LVnHGNFRERERERUTOyISkREREREVEwMrIiIiIiIiIqJgRUREREREVExMbAiIiIiIiIqJgZWRERERERExcTAioiIiIiIqJgYWBERERERERUTAysiIiIiIqJiYmBFRERkoXPnznj66af1rgYREVkZBlZERERERETFxMCKiIiIiIiomBhYERER5ZGdnY0XX3wRAQEBCA4OxoQJE/SuEhERlXMMrIiIiPKYPXs2vLy8sGXLFrz//vuYNGkSVq9erXe1iIioHHMwGAwGvStBRERUnpJXZGVlYf369aay1q1bo2vXrnj33Xd1rRsREZVfbLEiIiLKo3HjxrnuV6lSBbGxsbrVh4iIyj8GVkRERHm4uLjkuu/g4KDGXREREd0IAysiIiIiIqJiYmBFRERERERUTAysiIiIiIiIiolZAYmIiIiIiIqJLVZERERERETFxMCKiIiIiIiomBhYERERERERFRMDKyIiIiIiomJiYEVERERERFRMDKyIiIiIiIiKiYEVERERERFRMTGwIiIiIiIiKiYGVkRERERERMXEwIqIiIiIiKiYGFgRERERERGheP4fZY7DSm5tbxcAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "I1, h_list, errors1 = compute_I(f, a, b, m)\n", + "\n", + "print(f\"I1 = {I1}\")\n", + "\n", + "plt.figure(figsize=(10, 5))\n", + "plt.plot(np.log(h_list), np.log(errors1), label='Approximation de l\\'intégrale')\n", + "plt.plot(np.log(h_list), np.log(h_list), '--', label='h')\n", + "plt.plot(np.log(h_list), 2*np.log(h_list), '--', label='h^2')\n", + "plt.xlabel('h')\n", + "plt.ylabel('Approximation de l\\'intégrale')\n", + "plt.title('Approximation de l\\'intégrale par la méthode de Simpson')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 496, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "sol_exact = 1.9999999999999993\n", + "I2 = [1.6796146756121744, 1.773226796134444, 1.8396167932561194, 1.8865880617114008, 1.9198051592942358, 1.9432936228333129, 1.9599025284702791, 1.9716468050098257, 1.9799512634337142, 1.9858234024047001, 1.9899756317043285, 1.992911701200784]\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a, b = 0, 1\n", + "I2, h_list, errors2 = compute_I(f, a, b, m)\n", + "\n", + "print(f\"I2 = {I2}\")\n", + "\n", + "plt.figure(figsize=(10, 5))\n", + "plt.plot(np.log(h_list), np.log(errors2), label='Approximation de l\\'intégrale')\n", + "plt.plot(np.log(h_list), np.log(h_list), '--', label='h')\n", + "plt.plot(np.log(h_list), 2*np.log(h_list), '--', label='h^2')\n", + "plt.xlabel('h')\n", + "plt.ylabel('Approximation de l\\'intégrale')\n", + "plt.title('Approximation de l\\'intégrale par la méthode de Simpson')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'erreur obtenue vient du fait que les premières valeurs de f pour un h très petit est trop proche de 0 donc l'approximation n'est pas possible." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Question 2" + ] + }, + { + "cell_type": "code", + "execution_count": 518, + "metadata": {}, + "outputs": [], + "source": [ + "def RKI(f, y0, vt, tol = 1e-6, itmax = 20):\n", + "\tN, T = len(vt), vt[-1]\n", + "\tyn = np.zeros((len(y0), N))\n", + "\tyn[:, 0] = y0\n", + "\th = T / N\n", + "\n", + "\tfor n in range(N-1):\n", + "\t\tp1 = f(vt[n], yn[:, n])\n", + "\t\tF1 = lambda p2: f(vt[n] + h/3, yn[:, n] + h/6 * (p1 + p2)) - p2\n", + "\t\tp2 = newton(F1, yn[:, n], fprime=None, tol=tol, maxiter=itmax)\n", + "\t\tF2 = lambda yn1: yn[:, n] + h/4 * (3 * p2 + f(vt[n+1], yn1)) - yn1\n", + "\t\tyn[:, n + 1] = newton(F2, yn[:, n], fprime=None, tol=tol, maxiter=itmax)\n", + "\treturn yn" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Question 3" + ] + }, + { + "cell_type": "code", + "execution_count": 519, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "a, b = [0, 2]\n", + "\n", + "def f(t, y):\n", + "\treturn t * np.power(y, 3) - t * y\n", + "\t\n", + "y0 = [0.5]\n", + "\n", + "def sol_exact(t):\n", + "\treturn 1 / np.sqrt(1 + 3 * np.exp(np.power(t, 2)))\n", + "\n", + "x = np.linspace(a, b, 100)\n", + "\n", + "h = 0.05\n", + "vt = np.arange(a, b, h)\n", + "y = RKI(f, y0, vt)\n", + "\n", + "plt.figure(figsize=(10, 5))\n", + "plt.plot(x, sol_exact(x), label='Solution exacte')\n", + "plt.scatter(vt, y, label='Solution numérique', color='red')\n", + "plt.legend()\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 520, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "k = np.arange(1, 10 + 1)\n", + "h_list = 1/np.power(2, k)\n", + "\n", + "errors = []\n", + "for h in h_list:\n", + " vt = np.arange(a, b, h)\n", + " y = RKI(f, y0, vt)\n", + " errors.append(np.max(np.abs(y - sol_exact(vt))))\n", + " \n", + "plt.plot(np.log(h_list), np.log(errors), label='Erreur')\n", + "plt.plot(np.log(h_list), np.log(h_list), '--', label='h')\n", + "plt.plot(np.log(h_list), 2*np.log(h_list), '--', label='h^2')\n", + "plt.plot(np.log(h_list), 4*np.log(h_list), '--', label='h^4')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### L'ordre de convergence de ce schéma est **1**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Question 4" + ] + }, + { + "cell_type": "code", + "execution_count": 524, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def F(t, Y):\n", + " x, y, z = Y\n", + " return np.array([\n", + " 1 + np.power(x, 2) * y - (z + 1) * x,\n", + " x * z - np.power(x, 2) * y,\n", + " - x * z + 1.45\n", + " ])\n", + "\n", + "h = 0.025\n", + "y0 = np.array([1, 1, 1])\n", + "t = np.arange(0, 40, h)\n", + "\n", + "sol_exact = odeint(F, y0, t, tfirst=True)\n", + "y = RKI(F, y0, t)\n", + "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(15, 5))\n", + "\n", + "ax1.scatter(y[0], y[1], label='Solution numérique', color='red')\n", + "ax1.plot(sol_exact[:, 0], sol_exact[:, 1], label='Solution exacte', color='blue')\n", + "ax1.legend()\n", + "ax1.set_title('x vs y')\n", + "\n", + "ax2.scatter(y[1], y[2], label='Solution numérique', color='red')\n", + "ax2.plot(sol_exact[:, 1], sol_exact[:, 2], label='Solution exacte', color='blue')\n", + "ax2.legend()\n", + "ax2.set_title('y vs z')\n", + "\n", + "ax3.scatter(y[0], y[2], label='Solution numérique', color='red')\n", + "ax3.plot(sol_exact[:, 0], sol_exact[:, 2], label='Solution exacte', color='blue')\n", + "ax3.legend()\n", + "ax3.set_title('x vs z')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 527, + "metadata": {}, + "outputs": [], + "source": [ + "# Tracer dans le plan complexe le domaine de stabilité du schéma ci dessus (RKI)\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "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": "3.12.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}