{ "cells": [ { "cell_type": "markdown", "id": "77239b68", "metadata": {}, "source": [ "
TP1b SIC 4102
\n", "\n", "# Conditionnement, moindres carrés (cas sur-déterminé), sensibilité au bruit, Ridge" ] }, { "cell_type": "code", "execution_count": 1, "id": "080698f9", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "#" ] }, { "cell_type": "markdown", "id": "e8c6ae61", "metadata": {}, "source": [ "$\n", "\\newcommand{\\bA}{\\mathbf{A}}\n", "\\newcommand{\\bx}{\\mathbf{x}}\n", "\\newcommand{\\by}{\\mathbf{y}}\n", "\\newcommand{\\be}{\\mathbf{e}}\n", "\\newcommand{\\RR}{\\mathbb{R}}\n", "\\newcommand{\\Argmin}{\\mathrm{Argmin}}\n", "\\newcommand{\\st}{\\mathrm{s.t.}}\n", "$\n", "\n", "On considère le modèle d'observation suivant:\n", "$$\n", "\\by = \\bA\\bx_0 + \\be\n", "$$\n", "où $\\bA\\in\\RR^{m\\times n}$ est une matrice donnée, $\\by$ est le vecteur d'observation (taille $m$), $\\bx_0$ est le vecteur des vraies données à reconstituer et $\\be$ est un terme de bruit perturbateur.\n", "\n", "On suppose $m\\geq n$, c'est-à-dire plus d'observations que d'inconnues." ] }, { "cell_type": "markdown", "id": "016175e3", "metadata": {}, "source": [ "## Génération d'un signal original $\\bx_0$\n", "Choisir $n$ de l'ordre de 500.\n", "Générer pour $\\bx_0$ des échantillons d'un signal sinusoidal avec une dizaine de périodes." ] }, { "cell_type": "code", "execution_count": 2, "id": "a7139ad8", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 500\n", "x0 = np.sin(2*np.pi*np.arange(n)/n*10)\n", "Fig_x0, Ax_x0 = plt.subplots(1, 1)\n", "Ax_x0.plot(x0)" ] }, { "cell_type": "markdown", "id": "f244905f", "metadata": {}, "source": [ "Générer une matrice $m\\times n$ mal conditionnée (on pourra utiliser la fonction `tp2a.educ.bad_cond_matrix` ci-dessous). Générer des observations non bruitées $\\by_0=\\bA\\bx_0$ et des observations bruitées $\\by=\\bA\\bx_0+\\be$, avec un rapport signal/bruit de 20dB (c'est un très faible niveau de bruit: faire un éventuel tracé pour s'en convaincre)." ] }, { "cell_type": "markdown", "id": "06e1d738", "metadata": {}, "source": [ "## Génération d'observations" ] }, { "cell_type": "code", "execution_count": 3, "id": "7f656405", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Observations with noise')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAioAAAGzCAYAAAABsTylAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/av/WaAAAACXBIWXMAAA9hAAAPYQGoP6dpAADUu0lEQVR4nOydd3gUxRvHv3fpPYSQhBKS0HsLgpQAQqRKEZAqAiKCgoCgIjbEnwqIgIh0BRRUmoDSeye00FtoCYSShAApJKTe/P4Id9nd293bvdu9EubzPHngtszO7E555533fUdDCCGgUCgUCoVCsUO0ts4AhUKhUCgUihBUUKFQKBQKhWK3UEGFQqFQKBSK3UIFFQqFQqFQKHYLFVQoFAqFQqHYLVRQoVAoFAqFYrdQQYVCoVAoFIrdQgUVCoVCoVAodgsVVCgUCoVCodgtVFChUFTk66+/hkajQWpqqq2zoij79++HRqPB/v37bZ0VQRITE+Hu7o4jR47YOisWk5CQAI1Gg+XLl6uS/qeffoqmTZuqkjaFYilUUKFQZHLp0iW8+eabKF++PNzc3FCuXDkMHDgQly5dsnXWFGf+/PmqDY5q880336Bp06Zo0aKFrbNi94wbNw7nzp3Df//9Z+usUChGaOhePxSKdNavX4/+/fsjICAAw4YNQ0REBBISEvDbb7/h0aNHWLVqFV5//XXD9V9//TWmTJmChw8fIjAw0IY5N486deogMDDQSHOi0+mQl5cHV1dXaLX2N995+PAhypcvj99//x39+/e3dXYshhCC3NxcuLi4wMnJSZVn9O3bFw8ePMDBgwdVSZ9CMRdnW2eAQnEUbt68iUGDBqFSpUo4ePAgypQpYzg3duxYREVFYdCgQTh//jwqVapk1bxlZ2fD09PTas/TarVwd3e32vPksnLlSjg7O6Nr1662zooiaDQa1d93nz598MYbb+DWrVtWr78Uihj2NxWiUOyUGTNmIDs7G4sXL2YJKQAQGBiIRYsWISsrCz/88IPRvampqejTpw98fX1RunRpjB07Fjk5OUbXrVy5EpGRkfDw8EBAQAD69euHxMRE1jVt2rRBnTp1EBsbi1atWsHT0xOfffYZXnvtNcEBplmzZmjcuLHh97Jly9C2bVsEBQXBzc0NtWrVwoIFC1j3hIeH49KlSzhw4AA0Gg00Gg3atGkDQNhGZe3atYb8BwYG4s0338S9e/dY1wwZMgTe3t64d+8eevToAW9vb5QpUwYfffQRCgsLWdeuWrUKkZGR8PHxga+vL+rWrYs5c+bwlpHJxo0b0bRpU3h7e/O+u8uXL+OVV16Bp6cnypcvz/vNUlJSMGzYMAQHB8Pd3R3169fH77//bvLZQNG7e+2113D48GE0adIE7u7uqFSpEv744w+ja2/duoU33ngDAQEB8PT0xMsvv4wtW7awruGzUUlKSsLQoUNRoUIFuLm5oWzZsujevTsSEhJY927btg1RUVHw8vKCj48PunTpwrtMGR0dDQD4999/JZWRQrEWVFChUCSyadMmhIeHIyoqivd8q1atEB4ebjTIAEWz1ZycHEydOhWdO3fGzz//jHfffZd1zXfffYe33noLVatWxaxZszBu3Djs2bMHrVq1QlpaGuvaR48eoVOnTmjQoAF++uknvPLKK+jbty/i4+Nx8uRJ1rW3b9/GsWPH0K9fP8OxBQsWICwsDJ999hlmzpyJ0NBQvP/++5g3b57hmp9++gkVKlRAjRo1sGLFCqxYsQKff/654PtZvnw5+vTpAycnJ0ydOhXDhw/H+vXr0bJlS6P8FxYWokOHDihdujR+/PFHtG7dGjNnzsTixYsN1+zatQv9+/dHqVKlMH36dEybNg1t2rQxaRybn5+PkydPolGjRrznnzx5go4dO6J+/fqYOXMmatSogYkTJ2Lbtm2Ga549e4Y2bdpgxYoVGDhwIGbMmAE/Pz8MGTJEkqAEADdu3EDv3r3x6quvYubMmShVqhSGDBnCEhKSk5PRvHlz7NixA++//z6+++475OTkoFu3btiwYYNo+r169cKGDRswdOhQzJ8/H2PGjEFmZibu3LljuGbFihXo0qULvL29MX36dHz55Ze4fPkyWrZsaSTQ+Pn5oXLlyiXC+JhSwiAUCsUkaWlpBADp3r276HXdunUjAEhGRgYhhJDJkycTAKRbt26s695//30CgJw7d44QQkhCQgJxcnIi3333Heu6CxcuEGdnZ9bx1q1bEwBk4cKFrGvT09OJm5sbmTBhAuv4Dz/8QDQaDbl9+7bhWHZ2tlHeO3ToQCpVqsQ6Vrt2bdK6dWuja/ft20cAkH379hFCCMnLyyNBQUGkTp065NmzZ4brNm/eTACQr776ynBs8ODBBAD55ptvWGk2bNiQREZGGn6PHTuW+Pr6koKCAqPni3Hjxg0CgMydO9fonP7d/fHHH4Zjubm5JCQkhPTq1ctw7KeffiIAyMqVKw3H8vLySLNmzYi3t7fh+woRFhZGAJCDBw8ajqWkpBh9n3HjxhEA5NChQ4ZjmZmZJCIigoSHh5PCwkJCCCHx8fEEAFm2bBkhhJAnT54QAGTGjBmCecjMzCT+/v5k+PDhrONJSUnEz8/P6DghhLRv357UrFlTtGwUirWhGhUKRQKZmZkAAB8fH9Hr9OczMjJYx0eNGsX6/cEHHwAAtm7dCqDISFen06FPnz5ITU01/IWEhKBq1arYt28f6343NzcMHTqUdczX1xedOnXCmjVrQBg28qtXr8bLL7+MihUrGo55eHgY/p+eno7U1FS0bt0at27dQnp6umgZ+Th16hRSUlLw/vvvs2wpunTpgho1avBqmUaOHMn6HRUVhVu3bhl++/v7IysrC7t27ZKVl0ePHgEASpUqxXve29sbb775puG3q6srmjRpwnr21q1bERISwjLEdXFxwZgxY/D06VMcOHDAZD5q1arF0r6VKVMG1atXN3pOkyZN0LJlS1b+3n33XSQkJODy5cu8aXt4eMDV1RX79+/HkydPeK/ZtWsX0tLS0L9/f1adcnJyQtOmTY3qFFD0zkqaKz3F8aGCCoUiAb0AohdYhBASaKpWrcr6XblyZWi1WoP6/fr16yCEoGrVqihTpgzr78qVK0hJSWHdX758ebi6uho9v2/fvkhMTERMTAyAIgPg2NhY9O3bl3XdkSNHEB0dDS8vL/j7+6NMmTL47LPPAMAsQeX27dsAgOrVqxudq1GjhuG8Hnd3dyM7n1KlSrEG3ffffx/VqlVDp06dUKFCBbz99tvYvn275DwRAYfGChUqQKPRiD779u3bqFq1qpFHU82aNQ3nTcEUDMWew/fOTD3Hzc0N06dPx7Zt2xAcHIxWrVrhhx9+QFJSkuGa69evAwDatm1rVKd27txpVKeAonfGfTcUiq2hXj8UigT8/PxQtmxZnD9/XvS68+fPo3z58vD19RW9jjsY6HQ6aDQabNu2jdf9lGsUytSIMOnatSs8PT2xZs0aNG/eHGvWrIFWq8Ubb7xhuObmzZto164datSogVmzZiE0NBSurq7YunUrZs+eDZ1OJ5p3JZDiYhsUFISzZ89ix44d2LZtG7Zt24Zly5bhrbfeEjVqLV26NAAIahqEni0k2JiL2s8ZN24cunbtio0bN2LHjh348ssvMXXqVOzduxcNGzY0fMcVK1YgJCTE6H5nZ+Pu/8mTJw7pRk8p2VBBhUKRyGuvvYYlS5bg8OHDLFW9nkOHDiEhIQEjRowwOnf9+nVEREQYft+4cQM6nQ7h4eEAijQshBBERESgWrVqZufRy8sLr732GtauXYtZs2Zh9erViIqKQrly5QzXbNq0Cbm5ufjvv/9Ys36+pQCps+uwsDAAQFxcHNq2bcs6FxcXZzgvF1dXV3Tt2hVdu3aFTqfD+++/j0WLFuHLL79ElSpVeO+pWLEiPDw8EB8fb9YzgaLynD9/HjqdjqVVuXr1quG8EoSFhSEuLs7ouNTnVK5cGRMmTMCECRNw/fp1NGjQADNnzsTKlStRuXJlAEUCn96jxxTx8fGoX7++zFJQKOpCl34oFIl8/PHH8PDwwIgRIwx2EHoeP36MkSNHwtPTEx9//LHRvUxvGgCYO3cuAKBTp04AgJ49e8LJyQlTpkwxmnETQoyeJ0bfvn1x//59/Prrrzh37pzRso9+ps98Tnp6OpYtW2aUlpeXl5HHDh+NGzdGUFAQFi5ciNzcXMPxbdu24cqVK+jSpYvk/Ovhllmr1aJevXoAwHoGFxcXFzRu3BinTp2S/Uw9nTt3RlJSElavXm04VlBQgLlz58Lb2xutW7c2O23uc06cOGFYqgOArKwsLF68GOHh4ahVqxbvfdnZ2Ubu7ZUrV4aPj4/h3XTo0AG+vr74/vvvkZ+fb5TGw4cPWb/T09Nx8+ZNNG/e3NJiUSiKQjUqFIpEqlatit9//x0DBw5E3bp1jSLTpqam4u+//zbMZJnEx8ejW7du6NixI2JiYrBy5UoMGDDAMHutXLkyvv32W0yaNAkJCQno0aMHfHx8EB8fjw0bNuDdd9/FRx99JCmfnTt3ho+PDz766CM4OTmhV69erPPt27c3aCpGjBiBp0+fYsmSJQgKCsKDBw9Y10ZGRmLBggX49ttvUaVKFQQFBRlpTIAi4WD69OkYOnQoWrdujf79+yM5ORlz5sxBeHg4PvzwQ6mv2cA777yDx48fo23btqhQoQJu376NuXPnokGDBgYbDiG6d++Ozz//HBkZGSaX4fh49913sWjRIgwZMgSxsbEIDw/HunXrcOTIEfz0008mjaql8umnn+Lvv/9Gp06dMGbMGAQEBOD3339HfHw8/vnnH8Gov9euXUO7du3Qp08f1KpVC87OztiwYQOSk5MNbui+vr5YsGABBg0ahEaNGqFfv34oU6YM7ty5gy1btqBFixb45ZdfDGnu3r0bhBB0795dkbJRKIphI28jCsVhOX/+POnfvz8pW7YscXFxISEhIaR///7kwoULRtfq3ZMvX75MevfuTXx8fEipUqXI6NGjWW68ev755x/SsmVL4uXlRby8vEiNGjXIqFGjSFxcnOGa1q1bk9q1a4vmceDAgQQAiY6O5j3/33//kXr16hF3d3cSHh5Opk+fTpYuXUoAkPj4eMN1SUlJpEuXLsTHx4cAMLgqc92T9axevZo0bNiQuLm5kYCAADJw4EBy9+5d1jWDBw8mXl5egu9Kz7p160j79u1JUFAQcXV1JRUrViQjRowgDx48EC07IYQkJycTZ2dnsmLFCtZxoXc3ePBgEhYWZpTG0KFDSWBgIHF1dSV169Y1uAebIiwsjHTp0sXoeOvWrY3cvW/evEl69+5N/P39ibu7O2nSpAnZvHkz6xque3JqaioZNWoUqVGjBvHy8iJ+fn6kadOmZM2aNUbP3LdvH+nQoQPx8/Mj7u7upHLlymTIkCHk1KlTrOv69u1LWrZsKal8FIo1oXv9UCiUEsmwYcNw7do1HDp0yNZZsXuSkpIQERGBVatWUY0Kxe6gggqFQimR3LlzB9WqVcOePXvoDsom+PTTT7F3716cOHHC1lmhUIygggqFQqFQKBS7hXr9UCgUCoVCsVuooEKhUCgUCsVuoYIKhUKhUCgUu4UKKhQKhUKhUOwWhw/4ptPpcP/+ffj4+NDNtCgUCoVCcRAIIcjMzES5cuUEgxsCJUBQuX//PkJDQ22dDQqFQqFQKGaQmJiIChUqCJ53eEFFH8o6MTHRrFDZFAqFQqFQrE9GRgZCQ0NNbknh8IKKfrnH19eXCioUCoVCoTgYpsw2qDEthUKhUCgUu4UKKhQKhUKhUOwWKqhQKBQKhUKxW6wmqEybNg0ajQbjxo0zHMvJycGoUaNQunRpeHt7o1evXkhOTrZWligUqxCXlIkJa84h8XG2rbNCoVAoDodVBJWTJ09i0aJFqFevHuv4hx9+iE2bNmHt2rU4cOAA7t+/j549e1ojSxSK1egx7wj+OX0Xw34/aeusUCgUisOhuqDy9OlTDBw4EEuWLEGpUqUMx9PT0/Hbb79h1qxZaNu2LSIjI7Fs2TIcPXoUx44dUztbFIrVeJZfCAC4lvzUxjmhUCgUx0N1QWXUqFHo0qULoqOjWcdjY2ORn5/POl6jRg1UrFgRMTExgunl5uYiIyOD9UehUCgUCqVkomoclVWrVuH06dM4edJY5Z2UlARXV1f4+/uzjgcHByMpKUkwzalTp2LKlClKZ5VCoVAoFIodoppGJTExEWPHjsWff/4Jd3d3xdKdNGkS0tPTDX+JiYmKpU2hUCgUCsW+UE1QiY2NRUpKCho1agRnZ2c4OzvjwIED+Pnnn+Hs7Izg4GDk5eUhLS2NdV9ycjJCQkIE03VzczNEoaXRaCkUiqWcTUzDucQ0W2eDQqEIoJqg0q5dO1y4cAFnz541/DVu3BgDBw40/N/FxQV79uwx3BMXF4c7d+6gWbNmamWLQqEIkJCahY4/HcS/Z+/ZOitW41leIXrMO4Lu844g57nRM4VCsS9Us1Hx8fFBnTp1WMe8vLxQunRpw/Fhw4Zh/PjxCAgIgK+vLz744AM0a9YML7/8slrZolAoAkz85zyuJmVi7Kqz6N6gvK2zYxWe5hYY/v8srxDuLk42zA2FQuHDppsSzp49G1qtFr169UJubi46dOiA+fPn2zJLFMoLS3bei6dRICC2zgKFYhdsPn8fB689xLc96sLV2b6C1ltVUNm/fz/rt7u7O+bNm4d58+ZZMxsUCoVihIkNXCmUEs3ov84AAOqW98OgZuG2zQwH+xKbKBQKxZowFCoaUEmFQnn4NM/WWTCCCioUCgXAi6lRYC38vIDlp1AcASqoUCiUFxZCTVQoElhzMhH7rqbYOhtWwR7ldZsa01IoFAqFYs/cSMnEJ/+cBwAkTOti49yojz1qVqlGhUKxY3Q6YrX4HnbYP6kOy+vHQu0KoeoZsygo1GHWzjgcu/XI1lnhJSUj19ZZeOGhggqFYse8Pv8Iany5HenP8tV/mD1OpayIJa7KGTn5aD1jP6ZsuqRgjl4MVp1MxM97b6Df4mO2zgovVPy0PVRQkUHi42ycvvPE1tmg2DlbLzxA2x/34/J9y3f2Pnc3HQBw+HqqxWlRxLFEIbLmZCLuPM7GsiMJiuXnRSEhNcvWWRDFGoqy/87dx8pjt9V/kATs0fuNCioyiPphH3rOP4qbD5/aOisUO+b9P0/jVmoWRv91WrE0rRGYzB66p4TULAxddgKnEh5b5XlEoZUfHV32KbFYo+2N+fsMvth4EXefZKv+LFPYo2KVCipmoMRMmVLyeREjvVrKe3+exr64h+i9MMbqz6Y2JrbBHgdGJtasFhnPCkxfJIH0Z/k4eO0hCnUlo05TQcUM7L1hUZSDEIIbKZnQmdHgaXh2+Vh7RkkE/g8A+YU6nIh/jNwC0wInlXFKLmp/WqaArNTY0nvBUby19ASWH01QJkEbQwUVM7DHNTyKOszffxPRsw7iq/8uyr5XycHLGgOhXQjgVh7wxQTQ6duuos+iGHy89rwVc0SxN9TWtKmR/PWUIvOE/87dl32vPXQDXKigQqGIMGNHHABg5bE7Ns6JNHILCjFl0yUcvPZQ9r322EFZE+6A8evheADSOnuqUHF80rPzsfdqMgoKdazjLK2bClIFM0WlJwtSkkvLzsPX/9m3txoVVMxAoymqsLsvJ+NB+jNbZ4fF8VuP8OuhW3S9ncHKY7ex5mSi1Z9riy/wx9HbWHYkAW8tPWGDpzseTCNYulRnPl9uvIjvt14x616NXajygH5LjuHt5aew8MBN9gmmwbUKVUTNvlrKq5383yXWEpGdfA4WNDKtGWgAbDr/AGP+Ltpt0p6iFfZ9HosgrLQXXq0VbOPc2J6Hmbn4YmPRsk33huXg5uwk6/4iodT8Z28+L1/1agn24DXgSBAxIxVz03nBuJ/2DCueu9aOf7Ua3F1ktjE1MmUGVx4UOUlsOHMPo9tWNRxnC7PKw1x9VNqsQEpq+nLbM1SjYgYaDXD4unzVujW5/ci+YxNYi8yc4kBpthhM9Funq8HGM/cwa2cca0ZmSRGtObM9l5iGE/HGLsjW/kQKySlW5ciNVPScfwRxSZm2zgqAIqPjkoRYPZCj/Sgo1GHL+QdIycgx8Tw1NSqm27QjCNlUUJHAz3uuY+wq5oCjsYpBbU5+IcatOmOWQZQjVD5rwI1vsf1iktVidCgJ3+cct/osft57g3fAt2d0OoLu846gz6IYpGWzt5S39pIla7ZsxqPTs4vcQK0ZR2Xgr8dx+k4a3vnjpNWeKZWS0O9wy8D8Lcf5b/nRBIz66zQ6zTkk+Xn2sOxiL0txTOjSjwRm7bpmdIz7LZ9k5eFsYhpaVSsDJ60yH3pFzG1sPHsfG8/ex9pTiWhTPQjDWkYokvaLQgGjZ4lPzcLIlbEA7Gu5zlIeZxUP9o4wUDC/yaOsPPh7utosL+yAb/JfXvd5h5HwKBvl/NwVzJU0Hj/NM30RRTZcodNcO6adl5IBFNVxWyFlJHKALoNqVMyBT+DsMf8Ihi4/iWVH4hV7TurT4s2wDl1Pxf82X7YovT1XkvHjjjizYoI4KgWFxWVNfFwy7TeU+pq2mEdxn2lJWZYdiceSg7dk3UMs1KgkPCqqU/fTxdX7aiA0801/lo+lh+NNLjmogVnLGHY2gRfTjsmpI1Li73CfZ2evwm6ggooZ8FWm2887rC0XHlg3MwLwdRjDfj+FX/bdwPZLSYo959L9dLT6YZ9Zy1PWgBmZkSuf5eQX4suNF3HADFdee4LV0VnQ01lL46vGmnz6s3xM2XQZ3229gowc6Rs4OqKNiik+WXcO32y+jAG/HrfK85jL4GrPgXZcMm/pNvVpruQJmtHSj+ynFZFbIM12h/u8lcduY/VJZcIhSGnTjuAhSgUVM7FGp25J9RGrew/MmP1l5/GHdv7g7zO48zjb4AFlbzCXGbgNcvnRBKw4dhuDHdyVl7V8Yf99DiuPbWcewNUky70OHmbmmr6IB7aNigO8PAnsvpICALiRYp09yZh9oZq2OrcfZWHEiljZ2yscvp6Kxt/uxgcS+yhjGxXmZEd6+fKkCiqM/z/JzscXGy9i4j8XkJNv+RYcUmwpuSWyQxMVKqiYQ5HKVf2vqVbHKTfd/XEpqPXVDszaGWd0LjdfXYv/pPQcTN9+FffSzItXI6ZRuS8hTXtps2LfzNE2xONmd+zfZwXPSYVplCsnDQd7dZKwpcCl5qOl9gG5BYU4fzfN8B4WHSyKiyJV223u0s/dJ9n47XA8snILnudDqkalONFnDOFEkX167KUDsxAqqAjw9X+XEPXDXqw5ZRwozBG+vZL9xVf/FkUt/HnvDaNzlkrfmTn5ojOHYb+fxIL9NzHoN/PU2AW64s6ikNPLaHkyvy72Lv6ISTDrWbbCUoNQPUp6sskRrLLzi7V15uaftQEkKZrNXrqfbshHbkEhr82AVG3UP7F3FdH8KIk99kPmCElKe1C++0csuv1yBEuPJBSlb6KTWnLwFsavPmv4za2fUnfY7vLzYfxv82V8u6XIllCqoMKOo6IsktJzAGGdCioCPMrKQ+LjZ8jM4V/yUEo99u/Ze/h5z3VlEmOg6D4zMmryxXvpGLfqjCTD1ey8AtT9eicafrNL8JpLz3eqvvXQvLgwhQJLP7ceGqvFCwp1+GjtOXz17yWbGCKai71FVJ25Mw4Rk7Zi9F+nARQZMbPi2XCuV3oWriMEo/86jS4/H8byowko1BE0/nY3Gn2zyyg8ulRt1IS159DxJ3E3U3vBlrVBVWWOxLT1Nme/P4+2aqqr/m7rFaw/c6/4MZznMAUJsfqS/qyojh+58QgAkCfRmBYSBSFzkGSjwr3HDkVg6p4sgN7DmG+GoOQa3thVZwEALasGolHFUqxzjqCW5r6L1+YeBgDcfJiFTR+0FL33ZkqR8PFMgbVYIdg2KsXH2848wLqOEILY208Mv9XMk9IoVk8UqNdZuQWY+1zztvn8A3zcIQutZ+yHq7MW177tBMDEjNXMsnDtJHZeLnIN/fVQPF5vWN4w4XicnYcgH35XYkdob1JQqxy/7L0OFyctRrSuLHiNPS5Dyo0WIbbiQkhR7BxPNyfcfpQFXw8X+Li5IC65OPiefuIg9VUwJxoa1nHrwB3jXjgblalTp+Kll16Cj48PgoKC0KNHD8TFse0ccnJyMGrUKJQuXRre3t7o1asXkpOT1cyWJPTfiq+yaTTy+/S7T7JFlziUjokgNsuW25cIXb/y2G0kPuZfNxYy5Luf9gxrTyXiSVYeFh+S50pqDkxLf7E13w1n7hm2HwD4l4XslcdZeYbORu63zS/UIfm59kiJEnOX147e1M8uizUZ3DzeS3vG0rhYyvt/nmY8i7BniEazZfNiZDgayRk5FtmupD7NxY87r2HqtquChvWAfa4iMJd+pGzWyX1PzHqRkpGD+t/sRO3JOxA96yCafLcHby09jh7zjjDu198nDaFuSQmhz1ztSHJGDtbF3pXsYq02qgoqBw4cwKhRo3Ds2DHs2rUL+fn5aN++PbKyitX4H374ITZt2oS1a9fiwIEDuH//Pnr27KlmtiShH6iEOi8549jl+xloOX0fomcdELyG7yl8x57mCncSUlGiQ84r0Bn20OFD6P30WnAUH687j4b/24VNDJdm9QyHi//PHUSZrD99j/VbTTnl6I1UbDkvz41d7PV8u+UKxjzXzMml76IYNP1+D07feWJ0Liu3QJWYO3zfes5u5ZY/jzMi9XKzL7bsZIfKAHEk1tH/zt1H0+/34NN/Lki6/tvNl9FvcQwrND4zHhHXm4X53p6YEdxM7TkBU6MiZbNO44Bvxf/fF1fkUcV8BycTjNsOIL1PE7rOWvWR7zFdfj6Mj9aew4L9N3nOWh9VBZXt27djyJAhqF27NurXr4/ly5fjzp07iI0tig6anp6O3377DbNmzULbtm0RGRmJZcuW4ejRozh27JiJ1FXmeeXm66flSqnbLxYNSnefCFut81VWvopaZ/IOSfYTYpX8+61XEXvbsrDrpizShd6QkGu0Wo3SXPdTvaCqRjjpAb8ex6i/TisagG6ThDg249ecRZ+FMaxvd/pOGgBgLcdo/F7aM9SevEP2LsySImHyfIYHz+u0udVA6NPqCGFlytj+gKlRcSz47Oe+2cQOCkkIMXjrreZxDODj18PxOHbrMfbHFWsfmNG2CzhtnznxeXX2QUnPYKK+7lLeE8TqgSR33+cJSJXxidD/ldCoaICFB27iWxnBQjUoDjZ6+HqqxXlQAqsa06anpwMAAgICAACxsbHIz89HdHS04ZoaNWqgYsWKiInh95XPzc1FRkYG608N9BWSd0DWyBNWpFQ3OVVy1xX5S2NHb7ArXK8F8mIRcDGllZG7dKLW2jYzXTnKAYOgonB+mk/dY/h/ipmxP8xl/el7OJHwGOfvphmd477+DafvAgAO31C+o+L91oTzr0yEbtMR9kkdIZi37wYG/XYceQU62QODIi6jCpKSWSz4P0h/hqWcyNiPsvLMFsCYWgNmc87KLcD+uBTDssDWC8IBJLnGy0ohb9IhL22uFpH5LDndmlTNNeHUz+L/S3+WEBoNMG3bVfx6OB43Uvg3seS+yifZxcuwPu72YcZqNUFFp9Nh3LhxaNGiBerUqQMASEpKgqurK/z9/VnXBgcHIymJv/JPnToVfn5+hr/Q0FBV8quv3Hyqbw2UV1daEvthX1wKWkzbi2O3HgneY0mUSt5xxVR+Zb4ftbp/Zj8pRxhSSx0tJ9S6asthvM9il9lcTZKUHP97Vlj7w+zc5QxyQu8q9WkuyzCaAJixIw6Hrqdi07n7kl1P9djKyDohNYtXSDp9+wlOxD9G5zmHsI1HYLCkCjGXSpn94HsrT2PIspOGLT2mb7/Ke//Sw/Go9sU2HBfpl8yFr1x5BTrsvlw8idNXYbmTJuOAb3JzJ+8+IlAJmcevJ2fiWZ7pujdv3w2MX3PW8Js5oc4WuJ8rUC08ULzc4+PuYvKZ1sBqgsqoUaNw8eJFrFq1yqJ0Jk2ahPT0dMNfYqI0daZc9HVbzK5BKtKS4Fn6Eeg6v9h4kRWJc+iyk7iX9gz9GMagzEr+IF14yen0nSe4yXHVPX3nCXaYCLOvtAZEn972i0nYfjFJ1GDPnHSL/q9IklbDnFcs5Ra+bpuAGFzBuciJH0IkyBbfCKihbz/KQj7DFkJsqdTouSLnmB03c8DNKShktZPHWXksuww+CgvVq0SJj7Px1b8XcfsR2xX/r+N30ObH/fho7Tmje3ILdFh+NB6XH2QIvldzIQJt5/KDovqw8ph4mPdvNl+GjgAfrTPOt8V54zn24844vPPHKaPjWpFRjm8iKrYpoRQB3mDYbvJKGF3HF6DywLWHeHX2QZbBrhAzdsSx7O2YGlFz+hN3F/uIYGKVXIwePRqbN2/Gvn37UKFCBcPxkJAQ5OXlIS0tjXV9cnIyQkJCeNNyc3ODr68v608N9FI4r0ZFhem23Eo0a5dxlFghPmQEM2JyP+0Zes4/inYcV92e849ixIpYIwGGicIKFRBStPfOyJWxGLkyFrW+2oF5+4wDzMnFXBsVcwSxQh2RbXdyMuEx+iyK4RUG2GvXyg2QfPX34LVUwZhBUuOHPMnKM8SSMIfJ/11i/VaqxHrPIz6Yz3hjYQy6/yI+GKjpGTR0+Un8EXMbA5awtZ9z9xYZGm84c8/ontwCHc4+tzPiY82pRMM+ZHIZu+osxq8+C0KIYHuQ4q2lE5D9nuUV4pN151i2MFLhy8/KY7d5rxVbpuebiHK7fKbwIKtfk6xR4c+Pvq6tf74My3SBNgeh7Ih1dRpocPFeusEz0FaoKqgQQjB69Ghs2LABe/fuRUREBOt8ZGQkXFxcsGdP8bp9XFwc7ty5g2bNmqmZNZOIaVTEAugLzVZNIaSOFyIrV1wNyLw3PpU/WJqpIGrixr+it8oW5ggxXv+fsUO6MCYEs0OTY19gzuxj7KoziPphn6x73lgYgxPxjzF02UmePAhn4soDY8HmzqNs/HWcf5bLWmfnOZ9kQUeUk1+InPxCNPzfLrSaIVx+U4Ii15vkXGKa9ExI/F7sQUdjNBG5zPNemaipldO79MvZLmL96buiy1HcNtRmxj5ZmzauP3MPDb7Zhd0CdnHNp+01mYbQd1944CbWnLpr8p3zp2l8TOg9iHVFfH0C93rms+QEUJM62WGOD8z6qL9dytJV4uNsREzaIv4cMzq16ymZeG3uYTT9fo/pi1VEVUuZUaNG4a+//sK///4LHx8fg92Jn58fPDw84Ofnh2HDhmH8+PEICAiAr68vPvjgAzRr1gwvv/yymlkziX6g5dMEazTCA7G+Kqw/fRdebs7oUDtE0qBnyUqKVsPfgaZk5GD+/ptIzuA32jQlQG2/+EB4sDApqIif55Kv06kSu4RtoyL9PnM+x2aZLsfM4vLNWMTy0O2Xw0bHPhZRsetkdrZirD2ViBsPn+LTjjWwLvYuPl53HmPbVRV4bvGDm3y/B2MEruOri+NWn0WPhuUl5UmqpoM78ZD7na25j87dJ9l4ZCK+0rFb8rz3Eh5lY9WJO+gdGYpTCY/RtkYQnJ3E56vpz/IN22hwEdLCMRFqd2JL0qbg+95Cn0aor15/+i4WHTAdy0lnQsgXQmpNYUe+ZdxPjJ85d891uLlo8W4rdtC9IctOmBxDzNGonBbR1lkTVQWVBQsWAADatGnDOr5s2TIMGTIEADB79mxotVr06tULubm56NChA+bPn69mtiShrxx8UrGYKvHy/QzM3nUNc56HxU+Y1kXS8+SqlJltz8PFCVkcQykCYMyqM6IdGbNoqU9zEejthi82Fsda+PsEv/1P+rN8fLr+vGj+0rLzcS05E9WCfUSv01N/yk78N0o8kq05sGcocjQqwtemP8vH9osP0LF2Wfh5qmdsJpbdfB5biSfZwoMau7OVL6kM/+MUfuxdH36eLvh4XdG3d3PSGvZ/miOwDcTnG4pj7TzMzMWXIrF3+Mq763IyZu6Mw0/9GqBGiPAyr9RPy9WgyF3iU0qj8jAzF6fvPEF0zWCW6y+TltPlaeekQgjQY94R3HmcjU871cBIkUizSqCGR5+cJIVq+/g10mxnmN9cK8GFyBDwzYw4KiwDZh5JZeauawCAIc0j4OpcLGDeNHOLEUdB9aUfvj+9kAIA7u7umDdvHh4/foysrCysX79e0D7FmmgNGhV5jSy3QMfqtAmRJoJYplExbjyEAKdvp4k/k/H/xt/uBmDaQA4ocnfbdlHc2BYAus41nvUL5oUIew9Ygo6v4UvgvZWncSL+Ma/24cPVZzHxnwsY9ddp45MKIlt4FRFA2AaB8vOy63Iy+ixiu7TzbVKpNMP/OIWrSZmsaLN8SP20Rku5MtudUjYqHX86iBErYgXtKtREq9HgznNbKint2FIsFe5Wn7yDEStOsTb5k9NfynVP5l5eyBLypcPM4rt/nMLX//FrpVjuyTrj/oq3fzejHlpRGag49mHSa4cYbFQkrGGKkfGswKQHDSBkoyJcs6RkwZTHkrlq7AQBmxcuUncPVRPmO+AGqmLC/aYX7qUbDcx69l4tik6pRowRJiyvRVJkCyK0NYGctACY9G7hsw+y1JjPErIUiMgMcGxUNOYs/SiSDTx6HsGVafshpFlRmr9OFE9GrPHE1Ke5RnGcip4t7ekT/7mAHZeSWfmWMunQoKiPu25mm9HD7CfvSrAf4tvrZ+flZCx/vkmiGIU8Niq8do/Pz6U+zcVvh+NNpqvPGZP0Z/nYezXZZF9gD1BBRQC9FMtXueTEUWk1Y5+g0aq5yxJAkapvycFbgvsHERCT2iBrSNhKuRmbC/MV/LBd2Dj3kAURGPddTUHHn9SPyPn6/KOInnXAsDusUXoiCTK/9YAlx/DSd7tt/m24iOXflP2S1KrMrfN8Ax5zc0ou+usPX0/l3YFbT0JqFjrNOYQF+2+i94Kj+PessccOF2sJKkzj+gfpz/DoqbKBB/n6sgG/HjeKpyJXK5DxTHgHbiHm7bth5HbPt12EGMx+WopNi1i/yvduhLS+Uoxp3/3jlCGejdx89V0Ug7eXn7J64ElzsI+wcw4GQZEtihTE3DVNhScXa4wX7qXjwr10ZAkMNpIMeDlPWH3S9LKPXN5YGIMtY6IUT1cqauxVw2XocmOPHbnwGfxxv6He00fvrsiFOzMqKNTB2UmLE/GP8QnD0DbjuQHkcZmGmIBMTxwZECJeZ00KKhKlbq7wznfbP6fvIjKslMBzgIv30vHmb+IBFH/ecx1XHmQYvtmp20/QvYGxYTDzu7toNVB2a1LTJGfkIvLb3Zj5Rn00CiuFiEAvi9PUEcCJ53OdTHiMppVKY8SKU8jKLURZP/5drPVcuJvOiuPB3SFbCj/x7CHVb/Exw07efHDbojmhc3Zd5veSKtQROHNeDmvph8c9ma/q66+TY+zKLcbVJNtpSOVCBRUBxPrFP2ISWBufmQtz6UBf8XLyC7H5/AO0qhYoqTGeuZMmeUNDo2s4F02UuGmZnKUvoSBi5jBn93W826oSPFydBK8hhOBBeg7yCnQID/Syy23n9cjJGctFUuAarkFd7ck7MKVbbXy6nv+7mrPOPeu5MZ+teZZXiPjULHi4OiEi0EtySbj2BvKNaYmkSYqbGYGyrKVR4WPC82ByUo3/xdARAieeWqojRd9tx6WiQbx55dKCaTzJykNXHs82PVI/m5bHJZLrBm8KudrulMxcDOcJPAcULT87c7ovwjmvR/9fKZOYkg4VVAQQm8HpG5oeJVTo+oo3a9c1LD54C+X9PdC6ehmT9wll82cBLwy+Z8rh9qMswWemiXidKMHs3ddQqNNhfPvqAIDcgkK4cVp9xKSthv/PfKO+xXuz2LJDEN65W9qAllugExRSAPPKZqtIlczooikZOWjCiOuQMK2L5LJs5ARN47vtqYjLLSHAv+dML+P48oQe/3LjRQT5uOEDhos280uachN2FISEPx0hLCFBrLwmoxJLFVQUkP2UnOzw2cmxln54jGnFNCpycGThpmS0DBWQU79XCbjxykFfifR7VdxLeyZJkrekHd4QWWMXIi07X9AIrsE3uyzIjbQZ/pXn6srD11NR/YvtrH0puHthLDxw0+JOhtmxKGXQyUehrrgTT8nIQUGhTtBWQql5tzmvxsNFWJulJsyJw5YL7Hg1cma8f8SwvWz47v3v3H0cus5vB5SUkYMjN0zvXePmbNy1rjh2GzN3XRPMry01KkoSm/AEk3jCF1y6n4HcwuI2elDA1goA8gqNbe+Y/Q6zXd96+FTQoNTc2Ey7LycbokUraWuq37/qWV4hjt5IRX6hjh2ZVqoxrRnP/iMmwaId24U2NbQGVKMigBR/eT1PFRjAjsc/woFrDw3bawPSXKMtCec/bZt8d+CiYHfmPc/UgCJnANDbXEzbdtUQByKfE6u7UEcUjSSaX6jD9ovygrrJofPPh/B6w/KYsSMObWsEGbyLAM5OyzYcz9ztQFDhDuh9Fx9Dw1B/s9IVqpKDfuO3H3ucJU1r6MojqOjhi4EDAM6MclnDtkothDZA3XU5GV+9VktSGqY8Bm8+fIrGXgEAgLacLUD0JJi5dcDT3ALDnkEJ07ooqlHJLyTQ6QhGrozFgWsP8ebLFRHo7WY4zw74VvRDKPyEXDaff4Cdl5Jx7Tth+xwxLj/IRJUgaXGxlIYKKgLIGQuYA4q5rDllbCDpAF5jslCivbs+Vxfz9ePc9AuJac8nuYxcqVzslJMcO6cbKU8NbsHcOsWMMWNOwDY+zHkzfJoCJTBVN8R2dj4R/xgnzLAZO3rzEf47J7yTM28+JF7HXZJkkltgehfcl77bLfFJjoWUsqdl5+G7LVeMjjM/e++FMYrY05giO69A0WjEhTqCNxbFGLSl3LhVbGPaIvgmhubmKc+CQcXZhho/KqgogFhEUCGkeNjceWw6XokjKIsfZuZi+vareCOygumLTbD+zD1UDfbhn+VwBRUdUbSTUUpA0DPVDI0WYHkIfD3mvBs3G2lUmEV2UugFyBVS5ODC5/byHKa2gCWAMa55JFFzozRqq/dz8sUHyp92X8O15ExeI3xb2FjM2X0dnq7KDZP5Iku6AHf3ZGU1KpaixhYnkp9tsyfbOXLqgZwdY88mpuGtpSckedicTDDt72/tumPOYD1p/Xmsi72LvouPKZKH6duv8mpUuMJLoY4oq5VyBKlQBvakUTEFe+nHJlkAIG2pNSMnX/TdMmMfaVAUtKvvohjcT7ftDrUAED1LfjwgOZjSqPy0+7pgRG2uDds7v5+S7cEjl6tJmaob0zJh7Z78/L8+7saCki28GW1pQ0U1KgogZz25xzzxbeTNwZobpYltyCiEGv76pgInAc8FFSXfjZ2YDdhSXrLEJkqMvEIdYm4J2ygxBRVbzuykPHne3hsI9hWOEcK1v/hh+1VFwh04AkL2OVLgNuXdV5LR4JudFuZIHKW1sgUmZk58MVVceSRzRfs1idjS1ptqVASQUzlta61v3WffSHkq+4lqhGhmfh39t+I2Xh1RtpNRap8XS1Fu6cece9R5B6bsvPRlvp6ciUkiLtdqI+XdP87KE53xcqNJy9HI/nrIdGRUe8aS6sN3a3aeaZsXS0h7lid7h2oxTGpUeLx++G5p8t0exFk5YJsN5wdUUBFCToOypaCSlPFMtVkuH+NWn5WtdiywYBYlBDMPP+4sMkDlZqtAp6wxrb04Ypjq7KQjPx1bBdDT1/GeC44qWH75SCm+qeZoiVbhWx4jU0ei/xLTy7+CEwIFP/sTiTZAF+9l4ESCgoKKiW/PF0JfSHsy8R/xHeyVRmkbPTlQQUUBrCkocLl4L0MR92g5yN1s0BJLcyGYy23z9hXFUuEKJTqF3ZOtucQmxvrTpgOOScGc4thKRtDPBTJFgrFZA6kqdzn7vdhJtbJ7lNRoNvyfZTGfzMVUGZjtSy+0CPU7GTI0cUpgS40KtVERQE6TUMoLwVHIFdgIUQg1NCp8bddIUCHKagDsRaOiFOYUR23jRSFsaZfCRFoQRo1ovWPWo9uPsvFY5YjOJYWSINCZKsNNxk7P+kuFtMJylgyVwJZtkAoqClBCAkpK5plMQUXu9VLI5NEirTzGjjpaoNMpuvTDNxvaH2d5DB1bYU7HL31LeWWxlzYmRTmYr9OJ1nmmsHMr1XQIgheNkiCQCGFKI8eMurzy2G2cv5sm6NJtrn3O/rgUVpA5qVCNih0ip7HIiWJbElBD8LCU7vOOGO3sq9Mpq1HhS2rIMst3TrYV9mIcLAVbLq8ykVKfTC3NlTTNnLUoCa9Njofouti7WBfLv1M6YL7nz5BlJ1He30P2fdRGxcGxF7W0teDuqWMPcIUUoMg2RslQ5CVtpudI5bGXOqeE4GvPO3pT1EVR434L0rqXZmLTRx6oe7IdIme26UgzUyWwlZ2COZjchVUGJe07O1Jp4pJttyEaEyUGGiqoiCP0duzFmN0S9otsxCgXq8dSoYKKY1MC2o8sHKm4exTYh0kPVdnbFm78EVughKDyovUXSlESXtuC/TdNXyQRa9cjGkLfwXnROh5bu4jaipIwo2PiaOVRI3CgXOjSj+24wfCIoVgfWxo4UEFFARytw6eYB/3MtkVnezmFd1dfuVDNnDhC7exFnSDZC7Z0GqGCigByBiV79IKxB9xdSlb1KmmCiqOVp8AOJJUMBQbLYyJ7GlEo9krVIG+bPbtkjSQ24km2dQPvOAou2pJVvVafumPrLLzQKOkxYUuUtFMomZSM71ySGNO2Cvw9XW32fLsYSebNm4fw8HC4u7ujadOmOHHihK2zRFEAJ6eS5batD9VfUnA0L6b8EiKoUMRxNE3fi0AZkd3ArYHNBZXVq1dj/PjxmDx5Mk6fPo369eujQ4cOSEmxbcRPandiOc4vWCA8R8MOVlJkUajCVgwU+8PqbrcUu8fmgsqsWbMwfPhwDB06FLVq1cLChQvh6emJpUuX2jprFAux5a7SFNPM2nXN1lmQxf5rjrtdAUU6JWWJj6IcNhVU8vLyEBsbi+joaMMxrVaL6OhoxMTE8N6Tm5uLjIwM1h/FPnEuYTYqJQ1zolPakq/+vWTrLFCsAFWo2CE2/ig2HUlSU1NRWFiI4OBg1vHg4GAkJSXx3jN16lT4+fkZ/kJDQ1XJm4sTHWQthWpUKBSKXJ7ybDhKebFxuNF40qRJSE9PN/wlJiaq8hxXZ4d7NXYHtVGhUChiBHrbzpOE4jjYdPfkwMBAODk5ITk5mXU8OTkZISEhvPe4ubnBzU3+FtVyoYKK5fBFXHZ11qJ+BT+cTHhi/QxRKBS7wsfdBalP82ydDYoJbL0aZ9PR2NXVFZGRkdizZ4/hmE6nw549e9CsWTMb5owKKkrAtzeEs1Zj0+3CKRSK/fCCbTzvsNjabsimGhUAGD9+PAYPHozGjRujSZMm+Omnn5CVlYWhQ4faNF9uzk42fX5JgM9GxYn2TBQK5Tm0P6BIweaCSt++ffHw4UN89dVXSEpKQoMGDbB9+3YjA1tr4+fhYtPnlwQ0PJ2QVqux7e5WFArFbrDljrwU6dg6rphdrG+MHj0at2/fRm5uLo4fP46mTZvaOkvoVr8cqgf72DobDg2fLS01sKVQKHpsudEdxXGwC0HFHnF11uL3t5vYOhsODd9kSaOhFioUCqUIPw+bK/UpEijj84KH0LdnaChny+BT66Y+zbVBTigUij1S2lt9D06K5XSqw++Fay2ooCIC3VvEMuj6s/m4Ua8zygtA2+pBts4CxQRaje2X6GhvKEIpL2pQawl0+dl8SmJU3xm969k6Cy8EEYFets6CZMJKe9o6CyWecn6WLdvYw9ZLVFARwcedCiqWwOf1U3TcyhlxQEqi22aAF41Cag0cqeqoPVOvH+qvavqOgB3IGRZDBRWVKGuhFFsSkNMF+bpTozomTk6Wd+Cfd66pQE6UoyRqiewRqW853A60GWovD68a/rKq6VOsAxVUVCKwBBmJtaleRvVnlASpX0mUcOP2tjPhz9zdtGuX81U4JyUbqQLh/o9fwVvNwlTOjThqy64erjRwZ0mACioqMKdfA1tnQTEOfvwKXq2lbPA96qBsGiVmmvamwHDSasyKTUSNsuUh533pbOzZaMku9U3CAxTMScmlJDivUkFFBZy1WhA70BFoNZard0MsWMIqqeOLNXZ8VWKZRMhGyFa4u2jNqhO29jhwNOQIKrYexKh3m32w76M28HazLw0sE1pLVECp8aFr/XIW3T9/YCPsndDGojSctRqzOzO++0a2rqyqALNoUKRF94f4mhbMvu1Rx6JnSEEJLYI9De/RNYNQv4K/WeWyp3I4AnKEXGt6dLSoUtromCWbvzorYMf1IiBl0lze3wPVQ+w3EjsVVExgzmROqeYzolUli+7XaDQWz0aVns2W8VHXdsdSI2YpxTVHU7F0SGNZ1yvRCdvTksmvg1+CVqsxT6OicjHeb1NZ3QdYGXnvS7qksvPDVqLn+zSuIHp+6ZCXjDQolmz+WtbPA5UcyBXbVkidaNpPb2EMFVRMsG2seOPkQ6NRRqVq6TijH6haVgm0PDNmwJd/S41EVw5Tdx8otZZL2taQZ+ejhHuymbarqmKeoKLMNynlyQ438Oc7TTH+1Wr4qH11RdK3F7RaDf56R1o70emkpTm2XVWU8/cQvcbUJEQDY0HVEo0KAcHej9rg+nedzE7jRUCK1kyjsa+JDRc77MrsC3PUYUoNdpZWHL1M0LaG9OiPfh4uaBLBNlLr0bC8RflgYqntRcuq4kKXpYa6fK/cx8K1W3OKrIQmS22jZXO+pVlLPwoVY0y7qqzfLaoEYky7qiXOBsZJo0GjsFKSrpVqS/fhq9VMp2UiKY3GuE4qYaNiiUGuvdA7UlwbZQlSdj629xbg+F/YDpH70X8bzL8soJRGpVU16e7FXq5ORhoYJY2stBoB9b9Ca+WWvjP+jRQ5v2Wmue+jNrLzoYR7stoTJHPyaI4Qr5TgP6R5uCLpKEmkRIGiVbUy6NVI2mAmz+tH8qUWD2YaGNdJVwuEjJLkPTijdz1c/qaDbTNhx6+TCioqILdjLevHr1K1VKOiv71KkLcsl2kllq2qBHnzdiS2doc0BV+euTNuuSUIKy1/HZ2rrTC1/s+H2qpcswQVM56jlMJDo9HYnct2s0rGBqZ8/K97baOlKyG0WulCqp8HO80vX6sleK2pNE21CyetcetydG2WUsKvRqOBp6s6XjdS+it78xDkQgUVFdBA3mAvZEtgaRtmVj45g6WlrtW/v90E28dG8Z4r1BEjYUBqB6xnvIgaWg2Nii3WbrmCSrgZRoPcfH/U3rT6Xg5CSz9iS43m1GlzA8XxYQ/7lpgDn32HEFqNhvXtxcLI1yzLDqbH/D51yhed+7RTDUnP7VK3rOh5ex8MzeHL12rhh178e1i9YmGgzAqlhG2C5AQUlTI5tPcvQwUVFZDbHpVQ8/PBTFbqEzQajcWdubuzFs4CKt0CnsTlGpo2ryw8C7XYRkXCMWs0aiU6dW4Slrq7cxH6xnXK+7F+e7gUe3aYI/SV5FgbfK8j2Nd4EBJ6bf48Qr5Ww24FneuECD7/9YblEV2zuP0x+6K/hr+MlcOaYnhUkfehqbbF/e5y0Zflu9fVd/9XCq0G6PNSKO+5z7sIa6dM0TQiAIcnthU8v25kM8lp6Xj6XN42ZcdCfMntAWwInzrztXrCsw2hzrtQokW+EGKeI1FiRqkWLs8Y7uZ5/EvhpVS1nVDKrkcsTSXa8ycdqxtmrPz54OTBDPGImUbVIG/FNUNSjGk71w3BgU/aMPIkPw/uLrYPg27p7FgIvrcxjWeGLvTa3nrZOAR+kRt48Q1ir9xJq8HkrsUDKrPv8nFzRsuqgYbvrET1ERPA65b3Q8K0LhjYVH5Y/70TWuPn/g157fHmD2wkeB/TRujiFPk2IvryfNHFeF8tsffVNML8qLqlvVzh6yFdC83XX3m4OuGdlhGG3/au7KKCihmY2nuEz0DslwHCjUVYULFsSBTrrJqJaCUsHYjF5Jx6FfyNzivZSNRY+uESYWHshiHNw/F+myqY0bu+4DVcIdOccmk0GszuWx+VAr1EO2tzcREQVJhH21QPQpCPO/9Jibi52L6b4tMEWkoNAY9CfmGZLXz80Lse/nqnKUrzLAE4adivWQON+MRE4NliQoXQQDunXwO0F9lyQ+zzW6JFrFTGG93ql8Ocvg2M3mtnkSUppgbJEqeBd6LYMa+iqgbylrWsnzv2TGiNoS0ieM5KR074Ar7+mBB2u7L3ZTnb9wAOiEYD0f1vnLUaWYO9kKBiqeFprbLCAhWzog+PYkvWlj5XyMalWrC3RelKgal5aGDGFu9834LrBeXmrMXV/3U0cuOWi5hGgpmPzzvXFOzgW4t4dGkAvN6wAvZ+1AZVg30EDRfNjWVhzg7P5nSHlmhUArykbXdg6h3kFVio3uTw9/CXsWVMFK8EKmX5sU/jUDSvEoi+L4Uiqmoga6dsrmedRgPM7d8Qk7vWQo8Gxst/zPYudQB8q1k47/HuDcpj4ZvmRYdWYqgs5eWKJW8VeVGWs+EO9lzBUo+TVoPKZbzhbkL4FuuBM3MLoJHRZIXck7laWnvY9kUIKqiYyaw+9fF1V/41SBeF1tQtERhiv4iGH2P9mlspmQPhcE4EXHMf6+/pgvL+HoIul/p0+fpCpZoIM+2BTSvizZcr4ofe/MZupu7X8w0nZL4GGri7OKFRRf5ymkLfcYgtg4Qx9mjifh9WWiLP4aYv9DQ3M11EhQY1sbHOnKWfVhK1AXz8r7s0e4fTX76KY5PaCZ5XWqPi6eokKKhKcZHX4+7ihBXDmrLqCHfpBwD8PV0xtEUErwaG2d7FvHCYSYoNaqKfWOScUrZIoQGeOPF5O+yVEBZALUWCViNuOG4qCGdufqHgufa1glltz5QmiO9LSYmtYk9QQcUMNNDAx90FvRvzG1HJjQ0g1FiE+sZtAh41TKTOJPkwtwqvHNYUBz95pTgsNichazQNlspbo8G3Peqij8B34oM7kHaoHQxfd3leSVIR06j0axKKEa0rmYzEK9bhcJ1lhIQEc8P1C+VfLG4PXxZ+fEN4CQwAOtQOkRxDhIvUoHTebs6iG3AWWGowxkGsLfDZI2lkWCm14CzrmhIOWRoVBUYEucsI/+tRBxGBXqKu0fzPET4X5ONuUhNXuYwXXqtXpGGydPNWLhrw1z19np2dtHARaXdxyZmC577pXoeV9nttKuPilA6CE2ehLoL7/ibYcYRm+90u0QEQmlEqtVmWUPpcl0I+uJ2FaN/BqMiWzjCYDaiQ00KsLcXLdXvmg3fQeH7IXFWp/i4xNbuzVotJnYrV+WbZqEBaHRAbyJpEBOBE/GPec9yIoCc+a4eUzFyW9wc3Zb5ncetFdM1gVAzwxNIj8c/zrUHHOiH45/RdwXwK0bZGEBpW9Ef9Cv6y72WSV6hO3eVd5jGzDR765BWciH+M7pzlHVPpMSdEYnWBWZ800KBz3RBsvZAkK4+Tu9bGR2vPASheCh70chgG8RgFm8Kc7qRpRAB+6tcAy48kYFCzMJTz80B4aS/UfV5nP4yuhtm7r8lPmINWo+F1q+e+QyGRNSefXzAu6+eOAC9Xo6VIbzdnBAi4LEvVzL8sMaaPLaCCigUIhXdwcdKKDsqVyniha71ymLPnuuA1XeqVFfUKWTwoEu+uiOU9J2UzQ7HOa1jLCKw/fRfdG8gLnV+esxcIV11uFY2KBpj5Rn1cuJeOV6oXx/MYF10VcUmZOHrzEdKf5Qveb7RcIlHAk4O+asgJDyI0nxbrg4wi6gqURWgG/OtbjdG0UgDqfr2T9zxXIA/wckWQid2n61Xww+Ebqaxj3CK0qhZoVK5W1QJRJcgbN1KeiqbPxdVZiw3vt5B1Dx98Lp6WIKboERQoTWiHQgM8ERpgrBnQCPy/mOKyiQoqnFPzBjTC0iMJ+N/my6L5YtI7sgLaVC+D5Iwci43SzaWsnwcmMWx6mNtyjGlXBT0blUeFUh6ImLTV7GdoNBLatwWTQr6q0LoqvyaT15jW/EfbBLr0YwZd6xdZkQs1aqGlnxGtK6FRRX9sGxuFYJEOvU/jCpg3oJGoCrV97RBc+5Z/My5mIxTCjaEWdXd1wmedi4I6Te9VD4Hebjg2qR0+k5AOUBRdc/u4KJTiLDcVcnc8M9ioiBsQ8hn8MeHrjJkp9YqsgK+71WZ17OOiq2HBm5EmlwK4nYuaxvBy7DWELhXT6hjbqJi2iXgpvNjuJrpWMHxElr2cOC9LSnk+aFsVH0ZXw9YxjOVLThHyC4mRoO/m7IRdH7ZCJ4GYIHP6NcCIVpXwx9tNDMfMMaYWQsmIyi2rBKJOuaIZPK89Cs93IiBm72ljainGgxERVV6d1EjeB4u5vBfo7Yba5fwsjsRqTts09RU1Gg1CAzwV8IIR0KgwkjUnfJb+FmY/pv+/n6cLrnzTEQc/fkXSth0qdm2Ko4qgkpCQgGHDhiEiIgIeHh6oXLkyJk+ejLy8PNZ158+fR1RUFNzd3REaGooffvhBjewoyrSedfH2c9cysaUfPvffSZ1qYv37LeDm7MQOxsZJRmqfaMnOo54uTpg/sBF+7t8Qvu4ueLdVZVz7thOaVw58nifp1TistCdqhBhrfwoKpWlUNGB7kMzu20D0ecG+7vjnvWaY3dfYtsFUtrmnv+lem3Oef3BfwOPeyyzPymFNUTVInleT2h6B3PSFBluuXY9UuCucfDN+bnoerk4YG10VtRgu/lxhS8geRKPRCLrsl/F2w6TONVmz9CndavNeaw5KCSpd6pXFyneaGt6V2NIiE0LMNzY19UnL+3vgk47V8b8edcQ1PTLS5BIqEmXVqlhJlaDVmPagkmJ1tGzIS/z3MtJmPsfD1QkVS3uiImMyVyB1i2w7RhVB5erVq9DpdFi0aBEuXbqE2bNnY+HChfjss88M12RkZKB9+/YICwtDbGwsZsyYga+//hqLFy9WI0sWwez8XqkRZIjIKaSKdXHS4pMO4mGnpcYrMIVUYaUKZxDVaIriC3RjRCs1V/ARyj53UBFbDnPivI+Fb4rH/YgMC0C1YOM4FKbeJFcb82bTMLzVrHh9nPtJ9QJnlImNHVtWDcSu8a1NPL0I/cCsdmh+bvpCnivM6zxdpbsCvy7BwFWKXRL3EjEPm3Y1xXcCZxaZTwPh9bx8gd7yjM2ZOZrWsy72TpD2rblI+eZ8VxBA1PhSbnpc3m9TBYNeDpMtgEi107KXPX2s5YKr0Zh235fyrl8R2Y5CD9+7ZWpceJsT4c9A/QqWRRdWC1VsVDp27IiOHTsafleqVAlxcXFYsGABfvzxRwDAn3/+iby8PCxduhSurq6oXbs2zp49i1mzZuHdd98VTDs3Nxe5ubmG3xkZGWoUgcXCNyPR4aeDAKQ1ehcnLTxMdPjWjq/j7uKEM1++iob/2wVA2UFSSNAyElSe/+vJY43PbWwVA8xbvzYl9M3t3xD/23wZjcNLIapqGWi1GnzTvQ7+iLmtT8Bw7Zx+DQxeAUp+LoObtox7hMolx0ZFyM5CoynazyUlIxfOThrsj3sompe3W0Tg1VrBaBoRgFplfXDrYRYrDLulcDVxTN6IDEWgtxtCAzzx4eqzuHSf3f5NRWRdO7I5Zu26hk86yvNwYLnwajSoVMYbrs5aI6PGjrVDsP2SsIGpFFlD6FsrsfRjSbO3ZEJlH2KK9SgyphVf4laqDzbXd4Pvtg3vt0Clz8y3zVELq9mopKenIyCgOEBWTEwMWrVqBVfX4plNhw4dEBcXhydPngimM3XqVPj5+Rn+QkOlu56aC2vvDQmVQsq6LavzMDonMWPSsmOAKTwpKSgJJWVkTPv855ccN7oyPm5GalJpG2mJdwR8hAZ4YvFbjfFuq8q83lPMvqV7g/K84cMVM1dQ4DuLCiqcu8r5eyA0wFgFr9VoMLJ1ZXwl4N7I5auutdCscmlotRpEhgXgjcahRvZJhjxIqGjcIhTodIIhwrVaDdrVDEa1YB/8815zxoOenxdZUgWAWuV88evgxrzaODH46uOWD1qiZ8Nig/OpPeuajAAsSaMicIn5ggrz/7YRNuwl8qm1HA/7vhQqGGFYT+/IIo0k0y7MHKS64EvBXjRfXKwiqNy4cQNz587FiBEjDMeSkpIQHMyehel/JyUJz0gmTZqE9PR0w19iYqI6mWbArNxC64odaheXRcrH5l7CN4CoiTU6Dq6tgV7tWt7fA1f/V6xxe/+VKkaNzdwOxdJiCd3Oa+DIk0k5ngxKzKiYquwVw5qwtnfgLuU5aTXYN6ENbn3fmW3MamO4r7F6iA+61i+HbvXL4dsewgHbTBmiWrpBJRMduxMAAFQN9sEUho1T47BSJtu+lLABvEs/hFgUG0mPfnBsVNFf4Ap1+gW5saX4+PWtxjj48SuG3+ZEulbSKFqId1tVQpvqQSY3m53UuQYWDYrEbwJ2KFLhGrVLoUR7/Xz66aeG0MBCf1evXmXdc+/ePXTs2BFvvPEGhg8fbnGG3dzc4Ovry/pTGykfVe6gw7ZRAfaMb1P8PJVqkaUW50yYrtMVSvF74XDXV5nlcndxQsK0LkiY1gXebs5G3jbMDmXHuFYI8XXH1J51TebL0sFJ6DuyZ6VF//J9p80ftDQpBOhvYwoSu8e3lrwfCxPmkkuLyoGsAHF8g4OzkxZarYZlzMosm7sJO6U5/RrIzqMpuHYDXeqWhYuTFj/3b4g3ReJrsNoQjDVfSsriTHtErj0V3/+F4H4Svjv4kinl6YoOtUPQvUE51iaCUmC2iWrBPjj95atYO7K5yB0C6TDfrYz7utQVD7UglehawahY2hMbR7XA+FerYUjzCIvTVAN9VGlTm9O6OTuhQ+0QiwNKmpIBR71SGWGlPTGxY7HdpJjtmD3uXi3LRmXChAkYMmSI6DWVKhXH8Lh//z5eeeUVNG/e3MhINiQkBMnJyaxj+t8hIcLbktsC5kfldiLdG5TD9eSnmNarHh5m5iJaZA8gJtx0hAxZG1b0x5k7aXKyK/xMBWabUVUD8WqtYHSuWxaX7mdgz5VkDG0Rznvt511qomZZX3yx8SIAcQGMu/TDvLR6iA+OfWYc3px3Nmrh4BQR6IVTt4WXHk3h5ebMEgL40L8HX3cXfN65JggIqgR547fBL6HaF9t47+Er164PW+FJdr7gNVKNo5n3DYuqhH1xDw0u+FzkxtaR8jmCfdiu+lK1faZ2ulbWrohgaItwHL/1GF0EdkKXIvyLbQaqh1n+1tXK4LPONeH1fDl5Tr+G0jLMSo/921zNDN93CRQIMqancVgpzFN4Q8wGof5mu56bOwfcPi4KHX86JO0ZPA/5oVc9+Lg7o52Ctlx6hCZXa0c2w8FrD/FB26r4+Llzx/TtxYoEoWY2sGkYejWqgLeXn8TRm48Uz685yBJUypQpgzJlpG13fu/ePbzyyiuIjIzEsmXLoOVMmZs1a4bPP/8c+fn5cHEpkih37dqF6tWro1Qpy9bslMaPsV7ux1k7n9OvIQgh0Gg0WPee9FmKhmc2WHyu+P8ftK2Ct5efEklH8iMV0aj4ursYNiRrXa2M6KZ4nq7OePPlMIOgIgZ36UeuV4ZSlPJyxb6P2hh5vzA7A/2uo0oovlh7tIh8k9fqlcOUTezAWlWDfVhRY4u0msXnpQoqzLL5ebhg0wctJd1nKUveaowLd9NMevIIwWePwhLGldSokKKoqlykGkf2bFQe0TWD0bE2exLGty8WM5XKZbxRXWCXZanIeQ1y31nbGkEY0aoS6gp4i9jbEoMcbfVnnWvg+61XsWBgI97wC4LP4Dnm5+mCDrXVmYALRUJ/KTwAL4Xzb5xq6jW4uzhZ3eFDDFW8fu7du4c2bdogLCwMP/74Ix4+LPYi0GtLBgwYgClTpmDYsGGYOHEiLl68iDlz5mD27NlqZMkinJ20uPB1ewD8Bm3m2HvYwmaJ+UhrVsIaIT64mpTJUnty4QoqFUp5Yt6ARkaCIRO1ysBnZ+LqrMU33WsjJ78QQT7q7MoqVo/K+Ljhyjcd8d+5e5j4zwVJ6UnWqEi6SnlerRUsugu5KXgDB7IOKVcyIbdWqUtNQT7u6FzXuP43rxKIMe2q4mdGlGql7cfUaCcGwVCjEQ0wqYRtipLIEZzebVUZb74cJjswXSCPxsqS7UOWDX0JQ5edBMDv8lw1yDxB1pRWXe3wCXJQRVDZtWsXbty4gRs3bqBCBXasBf0H8/Pzw86dOzFq1ChERkYiMDAQX331lahrsi0Ri9BpDlwbFQCoVdYXlx9koCcjPoWcJRpXZy2+6CLcabA7QOtVwr+Hv4yjNx8hupbwzJmvUQip2MVQy5gWMN7a3vy+x3TgNT48XJ2MBjFuB8h0tJIad8OeOiRLUassQqFdmO1T6Nmerk4Y3FzY1qZN9TJsQYWZvgLFUcNwXmrd12sf5eKkFQ7uZwm1ysob1OUIKb8MaIgzd9J4NSeWFOWV6kGY1ac+pm27ivkDIg3Ht46Jwr20Z6y9teTgSM1eFUFlyJAhJm1ZAKBevXo4dEjaul9Jg6W2fv7vhlHNkZyei4pm7uR55ZuOoq5qbDW1vLT7NK6ANafu4r02lWXnq5SXq0mhQykXO0s7ZTnuea83LI+lR+IlbRLJROpupuaQz/C0cnOSGLzNgTosITScfy3l/TaVEXv7CY4/X1oTmhHreOzX/hvdAt1+OQKgaJO791+pLOpazE2aqcpXojyyln4UeB4Tc6PpHpnYFufupmGEwH5mctkypiX+O3sfo9pWUSQ9Pl6rV84Qd4mLpe+1Z6MKeL1heVb/Vqucr0l7OCGkCJr24lIO0E0JbYhxJXBzdjIWUmTUFVODvSXxFKb3qoevu9W2eH8OIcwRVMyJoyLEB22rYOPZexgeZXpDRz11K/ghZlJblPYSNyiUijkdA/ceH/fi7+PpJk1QKUkaFaWKUr6UBz7pWAPhn24BIDwjZgoq+vdYj7FTs0YjL/5J+1rBqFWW3yPLXOTUK6kTf6lJuvMEd5RCiJ87QvyUs+moXc4PtctZP+pqv5dCcfrOE0kRZk1hbcHBnnoFKqjYCNa4bEGNMNd7R65coNFoVBNSAOD71+vijYUx+PDVqhalY25bntC+Oia0lxetFCjaiVUuSrqfc2f6nq7O2DGuFZy0GskDpJodkrX6Vr1XDLszV+5FC8XfYL5jLzPbR5BPsaC7+K3GrHNKDE62HHAqBcqPdVKSmNarnsHZQgqVAr1wKzUL3hI3e1QTe5q/2P5tlGA+7lAdM3bEGTYxZGKLWSyzsdjbLLpOeT9cnNJBlmbFVMAve8WS/UaklE6ul4iaVaGMjzLaJiG+fK0W7j15Zgh0p1RZuPVIaPsBdxcnzOnXAIU6Aj9PYzs2KdkJDfDE/IGN4G/m/aaQ5Rmo0JV/vN0EOy8nYURr6RrKkoocYXPZ0Jfw0+7rGNla/hK7HAiIyW9tT2MEFVRU5P02ldGlbllDACAmTG9tscFVtapiP3XQgBJ2KnbUtgSpXMa+ZplqdEgL32yEq0mZaFlFfhA7OQxryZ4EKFUSrseUmBZMLLaMVEGNzyMIgCIFskWbaFWtDFqZ2MiTYkxYaS+Tu8dbC3vqSqmgoiIajQbhAiHVbT3ztydp2VzCSnvCWath7Slkz6X6571m2B/3EEMEAuRJwcjrx8I8qUXHOmXRsY58ry1LYdZrc5bYxrStgphbj4wC3slNav7ARjh8I9UQst6WyOlr7MmAkqIupj61PVUFKqjYCKVCfZt7rx3VQbNxc3bCxSkdkPg4G6/OLtrd2l4KVre8Hy7cS0c5v+KYK5FhAYgM4w/AxEUoiJMalKTBydKijBewU5K7R0znumWFtSQyUGJCoeSmdZSSASFS2r391BsqqNgIW2s0bP18pXB3cWIZNNpaU6Vn8VuR+O1QvFHsFVMMaxmBpPQclueHGEwvH3OxjzemDGp9f2tsZseHJaUZ3CwMp24/sSioHqVkUcbHDQ8zc9G0kumtHOxJvqWCio1gb6gmDNe9z9w9LriUEDkFgH0KXWX9PPDFa/I2jwOKjEPlULucH0a/UgUhfuZHyzVj81XFqR/qj3OJaRYLXkpXhbdbRGDpkXh8JhJ9VU0sKc+U7vI3l7O/lkRRkvXvNcfaU4kY3Dwcq04mil5rT90qFVRshNRK0CQ8AF3qloWnqxPK+rmL7iYr6/mKpGIfqLVjrj3CV7yPOsh3q2YSXprfjsqaLHyzERbuv4m3modblI7S3//L12piWFQEyvvLd0NXAmtrCIN8pRn/lvR2VlIJDfAUXN7kYi/aaYAKKnaB2FqhVqsR3X3U3KpUkuwSmJTMUqnD2pHNsOpEIj7rXMP0xSpT1s/DLA0AF6U7V41GYzMhBeDftFBN6lXwx1ev1UJogHnRsSklB3saIqigYiPU2o5eKva0/qgkJVUA0xNRRjnth9juqo4Ks17bq0eUFA583AZXkzLRprr1XXzf5rh825If36iPj9aeE93DjKIO9tSVUkHFRthKrRbk44aUzFyzN7Kyd+yobalCo4qlMLtvfVQMsP1yjT1SUgTVsNJeCLODJTkhrPWWe0dWQMc6IXYRqbWkYdo92X7aEv36NsJWdhWHJ7ZFfqHOEHK8pGFHbUs1Xm9o+9gc9soL8PlfOKiQog6mJsv21JZoDbARtqoErs5ao6ibJQl7MgCjWB+moFqhlO1sSygUR4dqVCjQMhbT6eCqIPRVvtBoNBqcm9weBYU6VTfRpFBKOl6u5u18rQa0JdsIOp6qgx1NAig2ws/DeHM/CoXCxlRfOb59NZy/m47+TUKtkyERqKBiI1iVhA6uFmFrDyoK5UXDnpYFKOoQ5OOOrWOjbJ0NAEDJNVawe2hDVwraaVIoFIo8HKnXpBoVG6HcpoSOVN0oFArF8RnZujJaV7N+jBslcaShgwoqNkLqXj8UCoVCsS8+7WT7aM4vEnTpx0ZQ4YRCoVAoFNNQQcVGsJd+qNiiFI4cNp1CoVAoxlBBxUYoFTulRoiPIuk4MlTMo1CsS0W6aaHD40jxu6iNio1QyqV27oCGmL3rGgY3D7c0Sw6LFyOwl6sTlb2VZuWwpvhk3TlM61XP1lmh2Jh/3muO5IwcVKcTJIoVUb1Xz83NRYMGDaDRaHD27FnWufPnzyMqKgru7u4IDQ3FDz/8oHZ27AalVnvK+nngh971UbtcydxkUAp+ni74uX9DzB/YCO4u9hNNsaTQsmogjk5qh1YO7uVAsZzIsFLoXLesrbNBUQBHsjhQXVD55JNPUK5cOaPjGRkZaN++PcLCwhAbG4sZM2bg66+/xuLFi9XOkl3AVLs5UoWxV7rVL0c7UAqFohoBXq4AgDI+bjbOyYuHqoLKtm3bsHPnTvz4449G5/7880/k5eVh6dKlqF27Nvr164cxY8Zg1qxZambJbqDCCYVCoTgOa0a8jG71y+Hv4U1tnZUXDtUEleTkZAwfPhwrVqyAp6ex4VVMTAxatWoFV1dXw7EOHTogLi4OT548EUw3NzcXGRkZrD9HhG2jQqUWCoVCsWeqBPng5/4NUSWI2udYG1UEFUIIhgwZgpEjR6Jx48a81yQlJSE4OJh1TP87KSlJMO2pU6fCz8/P8BcaavsNk8yBLv1QKBQKxVY4UlgMWYLKp59+Co1GI/p39epVzJ07F5mZmZg0aZLiGZ40aRLS09MNf4mJiYo/wxo4UB2hUCgUCsVmyHJPnjBhAoYMGSJ6TaVKlbB3717ExMTAzY1tdNS4cWMMHDgQv//+O0JCQpCcnMw6r/8dEhIimL6bm5tRuo6IlgoqFAqFQrERLk6OMwjJElTKlCmDMmVMuyj+/PPP+Pbbbw2/79+/jw4dOmD16tVo2rTIEKlZs2b4/PPPkZ+fDxcXFwDArl27UL16dZQqVUpOthwUx6kkFAqFQilZ9I6sgL9PJDrE5oqqBHyrWLEi67e3tzcAoHLlyqhQoQIAYMCAAZgyZQqGDRuGiRMn4uLFi5gzZw5mz56tRpbsDqV2T6ZQKBQKRS6ers7YNjbK1tmQhM0i0/r5+WHnzp0YNWoUIiMjERgYiK+++grvvvuurbJkVahsQqFQKBSKaawiqISHh4MQ4+3i6tWrh0OHDlkjC3aHlqpRKBQKhUIxCd0YxUYw5RQeGY5CoVAoFAqooGIzaJA3CoVCoVBMQ3dPthHlS3kgItALbs5auDlTeZFCoVAoFD6ooGIjnLQa7B7fGho4VoRACoVCoVCsCRVUbIgTjfpGoVAoFIoodM2BQqFQKBSK3UIFFQqFQqFQKHYLFVQoFAqFQqHYLVRQoVAoFAqFYrc4vDGtPuJtRkaGjXNCoVAoFApFKvpxmy9yPROHF1QyMzMBAKGhoTbOCYVCoVAoFLlkZmbCz89P8LyGmBJl7BydTof79+/Dx8dH0XgkGRkZCA0NRWJiInx9fRVL154o6WUs6eUDSn4Zafkcn5JexpJePkC9MhJCkJmZiXLlykGrFbZEcXiNilarRYUKFVRL39fXt8RWPj0lvYwlvXxAyS8jLZ/jU9LLWNLLB6hTRjFNih5qTEuhUCgUCsVuoYIKhUKhUCgUu4UKKgK4ublh8uTJcHNzs3VWVKOkl7Gklw8o+WWk5XN8SnoZS3r5ANuX0eGNaSkUCoVCoZRcqEaFQqFQKBSK3UIFFQqFQqFQKHYLFVQoFAqFQqHYLVRQoVAoFAqFYrdQQUWAefPmITw8HO7u7mjatClOnDhh6yxJYurUqXjppZfg4+ODoKAg9OjRA3Fxcaxr2rRpA41Gw/obOXIk65o7d+6gS5cu8PT0RFBQED7++GMUFBRYsyi8fP3110Z5r1GjhuF8Tk4ORo0ahdKlS8Pb2xu9evVCcnIyKw17LZue8PBwozJqNBqMGjUKgON9v4MHD6Jr164oV64cNBoNNm7cyDpPCMFXX32FsmXLwsPDA9HR0bh+/TrrmsePH2PgwIHw9fWFv78/hg0bhqdPn7KuOX/+PKKiouDu7o7Q0FD88MMPahcNgHj58vPzMXHiRNStWxdeXl4oV64c3nrrLdy/f5+VBt83nzZtGusaW5UPMP0NhwwZYpT/jh07sq5x1G8IgLc9ajQazJgxw3CNPX9DKeOCUn3n/v370ahRI7i5uaFKlSpYvny55QUgFCNWrVpFXF1dydKlS8mlS5fI8OHDib+/P0lOTrZ11kzSoUMHsmzZMnLx4kVy9uxZ0rlzZ1KxYkXy9OlTwzWtW7cmw4cPJw8ePDD8paenG84XFBSQOnXqkOjoaHLmzBmydetWEhgYSCZNmmSLIrGYPHkyqV27NivvDx8+NJwfOXIkCQ0NJXv27CGnTp0iL7/8MmnevLnhvJplmzx5MgHAyo85pKSksMq3a9cuAoDs27ePEGKf309fdj62bt1KPv/8c7J+/XoCgGzYsIF1ftq0acTPz49s3LiRnDt3jnTr1o1ERESQZ8+eGa7p2LEjqV+/Pjl27Bg5dOgQqVKlCunfv7/hfHp6OgkODiYDBw4kFy9eJH///Tfx8PAgixYtMrtMgwcPJmFhYSav27p1K6lXrx5xd3c3Kl9aWhqJjo4mq1evJlevXiUxMTGkSZMmJDIykpVGWFgY+eabb1jflNlm5ZYvPj6eACDLli0zp+i8ZRT7hoMHDyYdO3Zk5f/x48esa2zxDZUqH7NcDx48IEuXLiUajYbcvHnTcI3S31BJpIwLSvSdt27dIp6enmT8+PHk8uXLZO7cucTJyYls377dovxTQYWHJk2akFGjRhl+FxYWknLlypGpU6faMFfmkZKSQgCQAwcOGI61bt2ajB07VvCerVu3Eq1WS5KSkgzHFixYQHx9fUlubq6a2TXJ5MmTSf369XnPpaWlERcXF7J27VrDsStXrhAAJCYmhhAiv2wXL14kAwcOJOXKlSOurq6kbNmyZMCAAeTixYu8eVNCUOEyduxYUrlyZaLT6Qghtvt+WVlZZPLkyQaBiYmYoMKEOwjodDoSEhJCZsyYYTiWlpZG3NzcyN9//00IIeTy5csEADl58qThmm3bthGNRkPu3btHCCFk/vz5pFSpUqzyTZw4kVSvXl1uMQ1wBRWx8g8ePJh4eXnxDnJcTpw4QQCQ27dvG46FhYWR2bNnC94jt3xKCypMhASV7t27C95jq29oDlK+Yffu3Unbtm1Zx5T+hmrCHReU6js/+eQTUrt2bdaz+vbtSzp06GBRfunSD4e8vDzExsYiOjracEyr1SI6OhoxMTE2zJl5pKenAwACAgJYx//8808EBgaiTp06mDRpErKzsw3nYmJiULduXQQHBxuOdejQARkZGbh06ZJ1Mi7C9evXUa5cOVSqVAkDBw7EnTt3AACxsbHIz89nfbsaNWqgYsWKhm8np2zr169Ho0aNsGfPHgwdOhTz58/HsGHDsG/fPjRq1AgbNmxQvax5eXlYuXIl3n77bdamm7b4ftnZ2ZgyZQr2799vdO6LL77As2fPZKcZHx+PpKQk1jfz8/ND06ZNWd/M398fjRs3NlwTHR0NrVaL48ePG65p1aoVXF1dDdd06NABcXFxePLkiex8AcCSJUtY6nGx8sshPT0dGo0G/v7+rOPTpk1D6dKl0bBhQ8yYMYOlUpdbvrCwMDx79gyDBg2yKK9y2L9/P4KCglC9enW89957ePTokeGcrb6hGiQnJ2PLli0YNmyY0Tklv6GacMcFpfrOmJgYVhr6aywdOx1+U0KlSU1NRWFhIetjAEBwcDCuXr1qo1yZh06nw7hx49CiRQvUqVPHcHzAgAEICwtDuXLlcP78eUycOBFxcXFYv349ACApKYm3/PpztqRp06ZYvnw5qlevjgcPHmDKlCmIiorCxYsXkZSUBFdXV6MBIDg42JBvqWW7efMmBg0ahEqVKuHgwYMoU6aM4dzYsWMRFRWFQYMG4fz586hUqZJKpQU2btyItLQ0DBkyxHDM1Pd78OABAgMDTZZRSZydneHsLL870eeH75swv1lQUJDR8wICAljXREREGKWhP1eqVCnZeXNxcZF9jylycnIwceJE9O/fn7W525gxY9CoUSMEBATg6NGjmDRpEh48eIBZs2YBkF8+jUYDd3d3xfMvRMeOHdGzZ09ERETg5s2b+Oyzz9CpUyfExMTAycnJZt9QDX7//Xf4+PigZ8+erONKf0O14BsXlOo7ha7JyMjAs2fP4OHhYVaeqUalBDNq1ChcvHgRq1atYh1/99130aFDB9StWxcDBw7EH3/8gQ0bNuDmzZs2yql0OnXqhDfeeAP16tVDhw4dsHXrVqSlpWHNmjWKPmfGjBnIzs7G4sWLWUIKAAQGBmLRokXIysriNYZLTU1Fnz594Ovri9KlS2Ps2LHIyclhXbNr1y60bNkS/v7+8Pb2RvXq1fHZZ5+xrsnNzcWkSZPg5uaGiIgIhIaG4pNPPsHgwYNZ3+/evXvYsGEDZs2ahdq1a+O3337Dw4cPERAQgKFDhxrlLyMjA+7u7vjoo48AFGltvvrqK0RGRsLPzw9eXl6IiorCvn37DPckJCQY3sOUKVMMxoJff/01gGIjZyYFBQX43//+h8qVK8PNzQ3h4eEAigxMubz11ls4fPgwmjRpAnd3d2zduhUJCQmsa/Lz8zFlyhRUrVoV7u7uSE1NxcyZM7Fr1y6j9JjUqVMHP//8s+F3amoqtFotSpcuDcIIzP3ee+8hJCTE8HvIkCGGPJsqP5OpU6fC29sbZcqUwUcffYTCwkJD/vv06QNCCBYsWMC65+eff8aPP/6IjIwMLF26FE+fPsXs2bPx22+/GaV/69YtvPHGG2jWrBkAoF+/ftiyZQvrmoSEBGg0GpYhY1JSEoYOHYoKFSrAzc0NZcuWRffu3Y3e87Zt2xAVFQUvLy/4+PigS5cuJjVx/fr1Q7du3VC3bl306NEDmzdvxsmTJy3WPtkjS5cuxcCBA40EwfHjx6NNmzaoV68eRo4ciZkzZ2Lu3LnIzc21UU75ERoX7BkqqHAIDAyEk5OTkbVzcnIyqxOzd0aPHo3Nmzdj3759qFChgui1TZs2BQDcuHEDABASEsJbfv05e8Lf3x/VqlXDjRs3EBISgry8PKSlpbGuYX47qWXbtGkTwsPDERUVxfvcVq1aITw83GiAAIA+ffogJycHU6dORefOnfHzzz/j3XffNZy/dOkSXnvtNeTm5uKbb77BzJkz0a1bNxw5csRwjU6nw6uvvopbt26hXbt2mDt3Lnr06IHZs2ejb9++vHn65ptv0LdvX3Ts2BE5OTl4/fXXsXHjRuTl5bHKuHHjRuTm5qJfv34AigSXX3/9FW3atMH06dPx9ddf4+HDh+jQoQPOnj0LAChTpoxhcH399dexYsUKrFixwmhWyeSdd97BV199hUaNGmH27Nlo3bo1AGDmzJmGa/Tv/MaNG+jduzdeffVVzJw5ExqNBidOnMClS5cQEhKClJQUfP3115gyZQpeeeUVzJkzBwBQrlw5nD59WvS71qxZEwcPHjQcP3z4MDQaDR4/fozLly8bjh86dEjwe0spv14g8fHxwY8//ojWrVtj5syZWLx4sUFIuX37Nnbt2sXSpuhhvoOJEycCAIYPH254B8nJyUhOTkbz5s2xY8cOdO3aFUBRXenWrZvJpchevXphw4YNhmXMMWPGIDMz07B0CgArVqxAly5d4O3tjenTp+PLL7/E5cuX0bJlSyOBRoxKlSohMDCQ1aekpKSwrikoKMDjx49lt01bcujQIcTFxeGdd94xeW3Tpk1RUFBgeG/2UD6hcUGpvlPoGl9fX7O1KQCo1w8fTZo0IaNHjzb8LiwsJOXLl3cIY1qdTkdGjRpFypUrR65duybpnsOHDxMA5Ny5c4SQYqMpppfTokWLiK+vL8nJyVEl3+aSmZlJSpUqRebMmWMwCFu3bp3h/NWrV3kNwsTKlpaWRgCIGgcSQki3bt0IAJKRkUEIKTYo7datG+u6999/n/V+Z8+ebdLodsWKFUSj0ZCAgACSn59vOL5w4UICgBw5csRwDAABQNavX88q4+rVqwkAsmnTJlYZO3fuTCpVqmS4v6CgwMjI9smTJyQ4OJi8/fbbhmMPHz4kAMjkyZON8ss1pj179iwBQN555x3Wdfq87t27lxBSVF+1Wi0BQA4ePEgIKfKOcHV1JS4uLmTChAkGQ8xq1aqRLl26EEII2bFjB68hZl5enuFZkyZNItWrVyejRo0iwcHBhuPjx48nrVq1IkFBQWTBggWEEEIePXpENBoNmTNnjuE6rjGtWPkHDx5sKBvTELNhw4akUaNGpEePHqR27dokJSXF6F5Cigwxme9g5cqVRKPREDc3NzJhwgRD+caMGUMAkEOHDhnKl5mZSSIiIkh4eDgpLCwkhBgb0z558oQAYBktc8nMzCT+/v5k+PDhrONJSUnEz8/PcJxbRj4SExOJRqMh//77LyGk2Jj21KlThmvkfENrIla+wYMHG3lsCbFy5Uqi1WoN3k+2LJ+pcUGpvvOTTz4hderUYaXdv39/i41pqaDCw6pVq4ibmxtZvnw5uXz5Mnn33XeJv78/y9rZXnnvvfeIn58f2b9/P8tNLjs7mxBCyI0bN8g333xDTp06ReLj48m///5LKlWqRFq1amVIQ++G1r59e3L27Fmyfft2UqZMGbtwT54wYQLZv38/iY+PJ0eOHCHR0dEkMDDQMACMHDmSVKxYkezdu5ecOnWKNGvWjDRr1sxwv5SyJSYmEgDkzTffFM3LwIEDCQBy9+5dQkjxYL1jxw7WdXrreb2gu2zZMgKA/Prrr4aBhUvXrl2Ji4sL+eCDD8jDhw8Nf7t37yYAyHvvvWf4fgCIn5+fURmjo6NJqVKlSNu2bQ1lfPz4MXFxcRH8loWFheTRo0fk4cOHpEuXLqRBgwaGc3IEle+//54AIJcvXyaZmZnkzJkz5MyZM4bBfNCgQQavF39/f6LVasm///5Lzp8/T7p3704iIiJI3bp1yeuvv04IKXJt9fb2JmXLliV///03qVq1Ksu1NS0tjQQHB5NBgwaRixcvklWrVhFPT0+yaNEismrVKgKAXL16lRBCyEsvvUS++OIL0qtXLzJgwABCCDG8x9OnTxvSlCqoZGZmkq5duxrKNmvWLHLmzBly+/ZtMnr0aOLi4kIqVKhAzp49y2qTeuHw6NGjpFSpUqRSpUrk5s2bZOXKlaRMmTLkrbfeIvXq1SOvv/66oXy+vr6kbt26rPIRQsjUqVMJAHLhwgVCiLGgkpOTQ1xdXUmXLl2M3Ib16F1z9+7dy6pzDx8+JO3atSOhoaGGb8gsY2ZmJvnoo49ITEwMiY+PJ7t37yaNGjUiVatWZU1sOnbsSBo2bEiOHz9ODh8+LOsbqg23jjLLpyc9PZ14enoahFsmR48eJbNnzyZnz541+ob2UD5T4wIhyvSdevfkjz/+mFy5coXMmzePuierydy5c0nFihWJq6sradKkCTl27JitsyQJfWfJ/dN3WHfu3CGtWrUiAQEBxM3NjVSpUoV8/PHHrDgchBCSkJBAOnXqRDw8PEhgYCCZMGECa2ZvK/r27UvKli1LXF1dSfny5Unfvn3JjRs3DOefPXtG3n//fVKqVCni6elJXn/9dfLgwQNWGqbKJlejon93+sH61q1brOvy8vKIVqslI0aMIIQQkp2dTVq0aEEAkMDAQNK3b1+yevVqltBSsWJFwW8JgLi5uRm+H59QpS+jk5MT0Wg0ZOzYsSQ/P5/8+uuvBAA5e/Ys6/rly5eTunXrEhcXF9ZzIiIiDNfIEVRGjBhBtFotycvLI/v27eMtw+DBgwkhRdqEypUrk+DgYOLm5kbatWtH4uLiSOvWrUmbNm0IIUUaj3bt2hnu9ff3J2PGjDFoqQgh5Ny5c6Rly5bEzc2NlC9fnkybNo0QQsi9e/cIALJkyRLy9OlT4uzsTHbs2EHmzJlDQkNDCSGEfPTRR8TX15f1DaQKKmLlGzt2rOA31Ls5x8bGEldXV+Ls7Ezc3d1JzZo1yffff09ycnJY7+DcuXNEo9EQrVbLKh8hhGzcuJEAIJs3byaE8Lsnz549m2i1WuLi4kKioqLI9OnTWW1j+vTponVOqIzZ2dmkffv2pEyZMsTFxYWEhYWR4cOHG03sHj16RPr370+8vb2Jr68vGTp0KMnMzGRdI/QN1cZUHSWkSHvg4eFB0tLSjO6PjY0lTZs2JX5+fkbfkImtymdqXCBEmb6TkKJ32aBBA+Lq6koqVaqkiIs8FVQoFB7Kli3LGqT5CA8PJ+XLlzf8FhJU8vPzWYIKIUWai927d5MPP/yQ1KxZkwAgbdu2JQUFBYQQQqpXr07q1q1Ldu3axfun1w4QUtQJMeP+MNF3wHpVdvv27UmNGjVY16xYsYIAID169CB//PEH2b59O9m1axdp27at5KUPIUGFT7j19/cnvXv3NvwOCwszLOkwad26NWndujXr2KNHj8jSpUtJv379iL+/P3FyciJLlizhLTuTiIgIMmjQILJr1y7i5OREMjIyyOnTpwkAkpCQQJo2bUo6duzIukfu0o+Xl5fRcanxZaS+Azc3NzJo0CCj66QIKoQUaVR//PFH8uqrrxJXV1fi7+9v0CLptTIrVqzgrXN88WMoFGtA3ZMpFB5ee+01LFmyBIcPH0bLli2Nzh86dAgJCQkYMWKE0bnr16+z3BBv3LgBnU5n8CABimLztGvXDu3atcOsWbPw/fff4/PPP8e+ffsQHR2NypUr49y5c2jXrp2RN40cWrVqhbJly2L16tVo2bIl9u7di88//5x1zbp161CpUiWsX7+e9azJkyezrpOTj7CwMOh0Oly/fh01a9Y0HE9OTkZaWhrCwsLMKo/ek2no0KF4+vQpWrVqha+//tqkcWNUVBQOHjyIiIgINGjQAD4+Pqhfvz78/Pywfft2nD59GlOmTBFNw5LvoBRhYWFGoc8BGEInmHqvlStXxoQJEzBhwgRcv34dDRo0wMyZM7Fy5UpUrlwZABAUFGQUC4NCsSXU64dC4eHjjz+Gh4cHRowYwQpcBRTtWTJy5Eh4enri448/Nrp33rx5rN9z584FUORarb+fS4MGDQDA4MrYp08f3Lt3D0uWLDG69tmzZ8jKypJUDq1Wi969e2PTpk1YsWIFCgoKjLyGnJycAIDlqnv8+HGjIE2enp4AYOQZwEfnzp0BAD/99BPruD6mRJcuXSTlnwn3O3h7e6NKlSqS3D+joqKQkJCA1atXGzx7tFotmjdvjlmzZiE/P1/Q40ePnPKrRefOnXHixAnWt8nKysLixYsRHh6OWrVq8d6XnZ1t5CJfuXJl+Pj4GN5fhw4d4Ovri++//57Xhfzhw4cKloRCkQ7VqFAoPFStWhW///47Bg4ciLp162LYsGGIiIhAQkICfvvtN6SmpuLvv/82zEKZxMfHo1u3bujYsSNiYmKwcuVKDBgwAPXr1wdQ5EZ88OBBdOnSBWFhYUhJScH8+fNRoUIFg/Zm0KBBWLNmDUaOHIl9+/ahRYsWKCwsxNWrV7FmzRrs2LGDFeVTjL59+2Lu3LmYPHky6taty9JwAEXao/Xr1+P1119Hly5dEB8fj4ULF6JWrVqsTeM8PDxQq1YtrF69GtWqVUNAQADq1KnDCiaop379+hg8eDAWL16MtLQ0tG7dGidOnMDvv/+OHj164JVXXpH8LfTUqlULbdq0QWRkJAICAnDq1CmsW7cOo0ePNnmvXgiJi4vD999/bzjeqlUrbNu2DW5ubnjppZdE05BTfrX49NNP8ffff6NTp04YM2YMAgIC8PvvvyM+Ph7//PMPtFr+uee1a9fQrl079OnTB7Vq1YKzszM2bNiA5ORkg5u6r68vFixYgEGDBqFRo0bo168fypQpgzt37mDLli1o0aIFfvnlF6uVlUIxYOu1JwrFnjl//jzp378/KVu2LHFxcSEhISGkf//+Bu8KJnp7hMuXL5PevXsTHx8fUqpUKTJ69GjWBnt79uwh3bt3N+wfVK5cOdK/f38jt8G8vDwyffp0Urt2beLm5kZKlSpFIiMjyZQpU1jGzxCxUSGkyDUxNDSUACDffvst7/nvv/+ehIWFETc3N9KwYUOyefNm3k35jh49SiIjI4mrqyvLXoPPFiM/P59MmTKFREREEBcXFxIaGkomTZpkZGAo1T7j22+/JU2aNCH+/v7Ew8OD1KhRg3z33Xcsd08xgoKCCACWe6XeNT8qKsroejnlt5aNCiGE3Lx5k/Tu3Zv4+/sTd3d30qRJE4Ntih6ujUpqaioZNWoUqVGjBvHy8iJ+fn6kadOmZM2aNUbP3LdvH+nQoYPBMLRy5cpkyJAhLNdiCsWaaAhh6HspFAqFQqFQ7Ahqo0KhUCgUCsVuoYIKhUKhUCgUu4UKKhQKhUKhUOwWKqhQKBQKhUKxW6igQqFQKBQKxW5x+DgqOp0O9+/fh4+Pj11EjqRQKBQKhWIaQggyMzNRrlw5wRhAQAkQVO7fv4/Q0FBbZ4NCoVAoFIoZJCYmokKFCoLnHV5Q8fHxAVBUUF9fXxvnhkKhUCgUihQyMjIQGhpqGMeFcHhBRb/c4+vrSwUVCoVCoVAcDFNmG9SYlkKhUCgUit1CBRUKhUKhUCh2CxVUKBQKhUKh2C1UUKFQKAay8wpsnQUKhUJhQQUVCoUCADh6MxW1vtqBqVuv2DorFAqFYoAKKhQKBQDw/XMBZdHBWzbOCYVCoRRDBRUKhQIA0IBGdqZQKPaH1QSVadOmQaPRYNy4cYZjOTk5GDVqFEqXLg1vb2/06tULycnJ1soShUJhQHegoFAo9ohVBJWTJ09i0aJFqFevHuv4hx9+iE2bNmHt2rU4cOAA7t+/j549e1ojSxQKhQOVUygUij2iuqDy9OlTDBw4EEuWLEGpUqUMx9PT0/Hbb79h1qxZaNu2LSIjI7Fs2TIcPXoUx44dUztbFAqFQqFQHADVBZVRo0ahS5cuiI6OZh2PjY1Ffn4+63iNGjVQsWJFxMTECKaXm5uLjIwM1h+FYs/cevgUk/+9iPtpz2ydFXHo2g+FQrFDVN3rZ9WqVTh9+jROnjxpdC4pKQmurq7w9/dnHQ8ODkZSUpJgmlOnTsWUKVOUziqFohq9F8bgcVYeziSm4b/RLW2dHUGomEKhUOwR1TQqiYmJGDt2LP7880+4u7srlu6kSZOQnp5u+EtMTFQsbQpFDR5n5QEAzt9Nt3FOxHlRFSprTiVi7Snaj1BsByEEOh2xdTbsFtU0KrGxsUhJSUGjRo0MxwoLC3Hw4EH88ssv2LFjB/Ly8pCWlsbSqiQnJyMkJEQwXTc3N7i5uamVbQrlheVFlFMyc/LxybrzAIDOdcvCy83hN5SnOCADlhzHw6e52D42Cs5ONGoIF9VaZbt27XDhwgXWsaFDh6JGjRqYOHEiQkND4eLigj179qBXr14AgLi4ONy5cwfNmjVTK1sUCoVi4Fl+oeH/eQU6eNE5EMUGxNx6BAC4lvwUtcr52jg39odqgoqPjw/q1KnDOubl5YXSpUsbjg8bNgzjx49HQEAAfH198cEHH6BZs2Z4+eWX1coWhUIRQPMirv0wtO0vYvEp9gWtg/zYVM85e/ZsaLVa9OrVC7m5uejQoQPmz59vyyxRKC8stI+0jJibjxAa4IEKpTxtnRWKA0EItU0xhVUFlf3797N+u7u7Y968eZg3b541s0GhUHh4EWdzzCHCki0EYm8/Qf8lRfGfEqZ1sTBXlBcJKqeYhlrtUCgUAHSvH0uKH3v7sXL5cEAKdfxeK09zC2yQG8eCJSy/4E1QCCqoyCAhNQsn4l/sDolSgnkBO0nWbNaCme2LPCsu1BG0n30A3eYdZi1jzNhxFXUm78CeK3T/NjHo0o9pqKAigzY/7kefRTG4kZJp66xQVEKnIyik8QxeSIglksoLzN0n2bj5MAsX72Ugt0BnOD5v300AwJRNl22VNYeA1jrTUEHFDK48oIJKSYQQgu7zjqDdzP0vpLDyAipUWFgysX3xaot0qAAojlIKlfRn+dh+8QFyCwpNX+xgUEGFQnlOfiHBhXvpSHiUjcTH2bbOjklm7ozDsOUnFROqXvT1cUve4ousvTdl2/QivxspMAU5S+zEhiw7gZErT2PatqtKZMuuoIIKhfIcHaNHdYRBe+7eG9hzNQUHrqUokt6LaEzLHCQssRV4kbUG7Hdow4w4KEq9szN30gAAG87cUyZBO4IKKmbgCIMYxTIcadDOyS+2CyCE4L9z95GQmiU7nRexXjMHCTrGWg6fwOYowsujp7nYfP4+8hh2No6Io7xvOVBBhWIxmTn5ts6CIjAbuCMN2sx8bzr/AGP+PoM2P+63ON2jN1NxP+2ZxenYMyynH+r1YxZMod6RTbveWBSD0X+dwdy91xVJLyu3AFO3XsH5u2mi1zlqv2NNqKBCsYidl5JQ9+udmL7d8ddFdQ462jDzfSrBfPd5Zid5/NYjDFhyHM2n7bUka7LR6Qgu3E1HfqF1ZrXM2B8v8vKNUpi7fHblQYbNJzy3HhZpIbecf6BIejN3XsOig7fQ7ZcjotfRemcaKqhQLELverhg/00b58RyHM1GRY9SAhZzZnzSAoFHCpvO3ceaU4lGxxccuImuvxzGuFVnVX0+LxZpVOhgA/BrVEy9mxPxj9FpziG8ooAWUAkKFFILXXmQIek6WnVMQwUVitWxV/c5HWMSb+kGfdaMyKlUR6eUcEYIwbhVZzB71zXe84U6gg/+PoNP1p1HSkYO69zCA0UC75YLysxqTcEU8qjXjwKY8R52XkoCAKQ+zVM4M+ahlBddocRKoUbVyS/U4dbDpyqkbBuooOIgHLj20CFcZk3xw/arqP7Fdpy588Qmz098nI3HWfwdInPQ0lowaM/aGYc6k3cYOmC1YWmCrPJEcU7feYKNZ+9jzh7+tX7mQJCpoEB36+FT2cEYmWMSjaNiOXzaPVPvxt60lwU6ZZYdpWrZiMLtlxCC4X+cQtuZB/Dv2ZLhAUQFFQHWnErEFxsv4OjNVKNz1vYIOXbrEQYvPYGoH/ZZ9blqMP/5EtFUK/r6bzn/ADsuJSH1aS6iftiHRv/bZTh3I+UpnuUVaXjYA7753/jnvTcAAO+uiMWIFafMTkcq9ua58ixPekevVEvKK9Ch7cwDiJ510PA9pUBYGhV7eHuOjTlv0FLtpdLwaVQOXnuIC3fTRe+7npyJ6duvIi27aCIkVTGjRq3bH/cQALD0SILJaxMfZ6Pvohi73uqACioCHLqeipXH7uCqxCi0h64/xIgVp5CSmWP6YpnE3raN9kFN9EaMG87cVbWBPM7Kw6i/TmPEilhcuMfuaI7deoToWQfQcc7Bojyp0GPsuKR+41fMRsVKA4YaAgFzqS0rT7qWRimNiiOQX6jDo6e5iqfLrDa8GhUT79W+xBRjG5XEx9l4a+kJdP3lsOh9r84+iAX7b+KLjRcBSF9CUrPeSXm3H687h+PxjzHsd/UnVeZCBRUB9B+YoCg08YN0cTfNQb+dwI5Lyfj6v0vK58XeWrICFBKCe2nP8OHqc6o2EOYyT2Ehu0fYfP4+AOD2o6IlNUedXX+87jx+PXTL4nSY1UxNoUWNjpnpJeSs1SAjJx/74lIkeA+9ODYqXX4+hMhvdyPejBg7YhATwp5QW8ov1GHxwZu4LNHo1FoUFBoLKnI4m5gGQMYEQkX3ZCnppWQWC6/Tt1+1y+1DqKAigP4DE0JQf8pONJsqzU3zQbryGhVHCj4mlUIdwV4JmpTD11PR9Pvd2BdnXvRVpuEu17hNy2jF99Oe4bW5xTMmRxh4mHy75QoAy/KtmDGtiSGfHTeC81Az888VSAb9dgJDl53E3OfLcEKwNSolOzLtteQi48rtF5W1nWIZJMt4h38eu43vt17FoevGy+tCmPON7qU9Q+c5h7CWx8uMD0ttVPRZlKxRUbHuSGnSTBf9BftvYv3pu6rlx1yooCKAPYkGSgwgR2+mYsqmS8jJV9bjxty8nb+bji//Na19evO340jOyMXQZSfNeg4zyiSzQa6LvctaLvhm02XWzMJehp3L9zOw96r9rh0zOXozFSfiTbs1s/c2UYb8QuZgCZx7Pqv9J1a80zWlDQCKjIP12jcp6ZhLXoEOR2+mqu4VZ26bnbUzDq/OOoD0Z+x4J0Tg/4ZjhPubgBAiW5OSX6hDh58Oyrb7+m7LZVx+kIGP152XdD1XwDD300q2UVG4s2EmJ0Uzyp3AJakw2bYUZ1tnwF7Rz7btYWatRGc+YMlxAMDTnALMeKO+AikqCyFEleUGpqDCFEw+WnuOdR3XnVg/c7t8PwNf/XsRH3eojqaVSiueP1N0/vkQAGD7uCjUCPE1eb0lr9CSt5+Rk2+oY8uGvCR6rY6lUbHgoQyYGhU5TVZMPU8Iwd0nz9Bz/lEAQKVAb9Qqx/8NlOgmJv93EX+fSESvRhUws496bdTcV643El957DZGvVLFcJy1ZMq79APWtW8tPYGnuQWoUsZb1vNPJjzGteSnBs2QVJhbTEiBa6NiagxIfJyNvVeLNb7696GTrFFRD2kaFfZvF2f701/YX47shedfWAlDxbwCHSauO29yVsYlv1CHbzZdxoFrDy3Og561sXdxI8W4oc/YcRVLD8fLTk+52BvKpMMljzGAic2ouOpXfX4GLzuBU7efoO/iY6rkTyp834wPy5Z+zP+YGYxZdp4JuxA1gqOxNGcy0hfTqCw5dIvlaXdHzFZBgTL9faJoaeIflVXvlrZZ7gDM/Gnq3ecV6nDoeirO3EkTf59mkJKZg6/+vYirSWxNjbPMWANyP+Wrsw9gMsM2Uf8+JMdRYV1nnNenuQUYv/qsWZpVKd+au9Ql931ZAyqoCKC3C+GranIb+uqTd7D6VCJG/3VG1n2rTiZi6ZF4HL35SN4DTXCQI/jcfPgU8/bdxDebLyv6HDmoFb7e0g3GHmZK95IghCA9W50w4NbQ7FnSPQnlL7egEH0WxWDWzrjia1nPZD/V3GIyhSO28CGeIrPecevg91vZLvS2MmrPLSjE9osPDG6v5sCsx5bavGmNBjJxg2QhYVDu+zSV7wlrzuGPmNvo+NMh1nEXJ8uGOeYkJie/ED3nH2FtGcLV2Oivl9qncRea9sel4DDDbmfevhtYf+Ye3l4uccmL+Y4lfGuu4sfS96UG9pcjO6HYmFb4mrtPsiUNhHIGOyYPrLQhnJy4E2qhlqG51AHeaMB8fp+cznTKpsuo/81O6TfIwBr7EAmVNb9QZ3awwc3nHuBE/GPDsgEAEJEmY662hdkOlzA8oOSkZupasaqg5teZtesaRq48bVhaM0V+oQ6Hr6ca2vXm8/fx0ne7DectFbictPxtBZC+3KEG5wXinDg7WVZgZvm2XniA03fSRLcM0b8CyU4/jOsycgowZNlJvPnbcYOtUrIlNiMSis79Ztz39e/ZewabL1tBBRUBit2T+WvbyYTHaDl9H3otOGoyLXObrlozOKW6kr1Xk5H4WBlhytZeE0ZLP2bkZ/nRBOnPs1DwyBaIFWLZe+SvcP0WH0PUD/t4gx/y5oGRBb5lIGYepbkQm4bZ2S4+KN1VW47HCnNpLK9AB0IIUjJysOncfZPLXZbw39miJWOm8alYXqdtu4o3fzuOD/4+DQD4cUcc67yltmBchYpp2cQ6bVtImHfWKjfMyenvzPH6YS6h6t2kLfleUu7k2uS4MN7XqYTHGLvqLLrPE99YUW2oMa0A+rohNENYd6poHZkbRIwPc8ckrUqSyv82X0b9Cn5oHB4AgC0Q8Rm1Pnqai592X0ffl0JRp7wfgKJZm2RVpATUUhiYq4kgMmdFcnj/z1gkPn6GDe83h7NENSs3H+//eVrxfAlVN33AwbWn7qJ55UB5afIcY5Zl8n+X8CQ7D+Oiq8lK1yhNoeMmvh/LPVnis9Kz89Hk+91oEhGAy/cz8Cgrz6rr+pvP38fX/13Cgjcj8dLzNsxELzDvvpJS5GHDOW9pTrn9EvMJpgK+KRX9mQ+hb+3qLP6cQh0R1Ywzk529m3//Kr58SI5HYmJpjFm1Ym8/gbNWg/qh/pKSljKG8GlUcgsKcTMlC5sV2knaUlTVqEydOhUvvfQSfHx8EBQUhB49eiAuji3d5+TkYNSoUShdujS8vb3Rq1cvJCfb3h1T34iEdtK0xnq1mkG3ei+MKX4Oo8PgK+6k9Rew4thtVpwRblAkJg/Sn+HTf84bGbWJodbShiWa6I1n1NknY+uFJFy4l45zJkJyM+EON/oQ2dZEquBsygWe+61/2l28J5C5n0uo+piO6SLuscJEX/odl5OQW1BkFProeUBBpXbclcLov84g9Wkehi3nd9lnDpB8G/2Z+ox/Hr+Nyf9eFNTaGAkqIgbJXCzx+OJOqIzTNk+j0uXnQ6j51XbBfIlprxJ4gufpr5e81w/j/3xlYL7vXguOovu8IyiQqMGTZkzLFVS0eOf3U+j88yFZWmI1UVVQOXDgAEaNGoVjx45h165dyM/PR/v27ZGVVfxxP/zwQ2zatAlr167FgQMHcP/+ffTs2VPNbElC/4HlRuk7cyfNaEdYc9XxtjC+5mtcV2QIHAAwbtVZrDqZiE5zDpm++Dnq2aiYl/Ct1KdYeiRe4dywUcP7xRJMVTep9XHc6rOi5/lKvd/MgH7FafK/S/0rvvskm9fOhl3vTC39SLrMamTkFODP47eRkZOPlMwcyX2Vqc/4+YaL+D3mNg7fKF7qS2WE3ufaqIgZJAPG7slKwJeMoKBiwkblapL4NilCOR7023GM/ttYs6m/XrrXT/H/+bZ0MDZeFheMmWekCCrc9+ak0cgKwmcNVBVUtm/fjiFDhqB27dqoX78+li9fjjt37iA2NhYAkJ6ejt9++w2zZs1C27ZtERkZiWXLluHo0aM4dsy27qBigooG4hVg5MpY1m+h+rrrcjKmbLokuEbPN4NddeIOuv9yWNRAlxCCozdTJe87xN6rQ9ItosQlZz7Ph/R79B3Y0Zupkm0hpGBu0KW3l59SbenN8Ew511phcDRVXO4AJZeD1x4iPTufd0BZe0o9l9y8Ah1aTt+HqB/28Wh7ivNy6b64QG4wsLcXSQVFQkXbHw+gyXd7MGbVGUn3SNXUbjn/AIQQPEh/hsbfFhvjcqsB83OevpNmlA5hCTKSHs0L87Fy9hRierHcfmTG9gEC6R66noqL94zrjI4QfL/1CpIzpDlRCC2d6f9vSbOTsrzGfW/2uGWLVY1p09OLVN0BAUXrqrGxscjPz0d0dLThmho1aqBixYqIiYnhTSM3NxcZGRmsP3Uo+lrCsxThr8ltrEIpDP/jFJYdSUDVz7fxRqPkq6Cfrr+Ac3fTMXNnnPHJ5xy49hADlhyXHPbfnE3FxDprVwG7i5sPhWOB6EiR99GAJccxYMlxQWNRuViypGTpwGwKeYKcevkAipZr9lwR12rwzezk8NbSE+i18Chvg7B08Bde+mEbHmdwoqoym/fYVWdFn/HJ8zg8dqYIM2g7tki0J5A6EK06mYh9cSk4coMdHkGsHnADKRphxrtbczIRI1acQi4rVg5P0gJpMyccXeeKbywIWG7Dk5adL8ugW8idXv8/uRMmZvBKKbfak+AthNUEFZ1Oh3HjxqFFixaoU6cOACApKQmurq7w9/dnXRscHIykJP79KKZOnQo/Pz/DX2hoqCr5NbX080zGQCqlYztyw1iLINYhZAu4FOt0xLBjr3RVsPymKVYmIT/8djMPCN7z2+F4vLGo2IOKGynWXNQQVG6kZGL0X6dxLVnaztpM3lhYXEY5anCpV5pb3C82XjRpZ+GkwFTrRspT0Vgb5uZfzJiWqUHgquPlPI/P3sMaWPLW+T6ZnPQ2nXtgFKiSOXAmPs7GoN/E3aaFbDCkVqdP/jmPHZeS8feJO7zp6GF+2w1n7vLaSmXkFPcrOy8lCdr57LuaYmjfag/k7KUxxv+fy2VqT5gcAasJKqNGjcLFixexatUqi9KZNGkS0tPTDX+JidI2mpKLvmrwdd774lKw8ay0KLM3UjKx8ICwz70evg5TTJIWOvXGohhWg5aCeRoVYdzMCMH8857rLDVqoY5INhhTAr6gekIDc/8lx7H5/AP0WcSv9RPjZMITw//lLf3I7yzbzz6AsRKXA9aZ2BMHUK7DVMNwWuz9iC1tcvMyYY0JjUBJQIbAueHMPSPDbWa7+GTdeTyREeSQ+b65mhpTZOSIP4eZ9oerzxm0zkLFfXdFLPZcNdYi6ggwdPlJtJ99EID6GjSm1w3bC63oB1/+pbYhKct89qYh5MMqgsro0aOxefNm7Nu3DxUqVDAcDwkJQV5eHtLS0ljXJycnIyQkhDctNzc3+Pr6sv7UQC8k8Gkl1shYT/9sw0UL8iB8jnnqRkomPlp7DnceZRtcSZncNxE4jr32Ky1vYg3FVYG9Igp1BNsvWb7LqxoaFb19UJqFUWhlLf2Ykf615Kf49+x9s2x++Po3pWx2eAXf58eY9lrJGaZtrLJyC7DxzD3WTJmTslFAsqWH4zFyRSzyC3VGeZESvt4B+nUDfO/a0q/IrAZS7OBYWgILnsusf1ImVHrNsiPpI9g2KkX/8rU7blmFImKLlf2rfy+i/ewDRpNxawSXlIuqcVQIIfjggw+wYcMG7N+/HxEREazzkZGRcHFxwZ49e9CrVy8AQFxcHO7cuYNmzZqpmTWT6OuGpW6HUkO43097hr+O30HPRuXh7uIEQPrAMGTZSdx98kxw59rxa87yHs8v1MHFSWvS7Y8PscssjQQJFAkqWQos/1iyY7vaRmWyVMoSL+XbgG3vlRST8U9cnDRGOxBzUSqy9sR/jPdc4gs7fjUpE8G+7qJpfbr+AjadE9Zupj7NY002CIFhq4gt5x8gyMdNVt7V3NlYq1He+y3qh71GdULpyLSmYBvTKlNAOe/J0vIqkeW/T9xBgJcrOtQ2noALxZnRvze+983N0mOB7RUOXHuIO4+yUbG0p9G5P2Ju895jh3KKuhqVUaNGYeXKlfjrr7/g4+ODpKQkJCUl4dmzohm+n58fhg0bhvHjx2Pfvn2IjY3F0KFD0axZM7z88stqZs0k+qphaUhoqQ3zy38v4bMNFyQFFOJy90nR++Tb5CslIwfxPL7+ADNiZXFDuJqUiX/P3gMhRTPP7ReNDfR0OoKTAkLRvqspvJbwcinQETgpEFHSko5R9SBeMrImtRx8GgGxjjo7rwBf/3eJJaQIYakxrR4+10e+4g1eesJkWmJCip7WjI0Fme9x3OqzIpoYfnLyjLUwYhQU6vDfuftISs/B1K1X8OshYSNLJeImJXHCrfMJrpYGWmMOnHJblyWDoCmNihCWlleJcXvS+gsYsSKW9xxzwsKKPvz8X75qwZ1QLhQJ6T9oqbStF/R8u8V2e74JoapGZcGCBQCANm3asI4vW7YMQ4YMAQDMnj0bWq0WvXr1Qm5uLjp06ID58+ermS1J6DsNSzUqcuOwHIh7iEmdagIQb4zMTs3NWcuyiGfS5Ps9gmn8efwOJnWuyWoIbzwPBLfzUjK2XCgSUsr7e7DuWxd7F5/wzIqBorVdJXh7+UlEVZUXBZUPSzpG1b1+TJy/wtNpKc3cvTd4gzodu2VsP2DOu7SHyVkmQzPHNab9SebEQK5h5fKjCfh2yxXWsXeiKvFeq9UAluprXp4q3N71fP3fJfRvEmroQ57mFuDjtefQtX45dK5b1uT9Z+6k4a/jdzC5a21JeSrQEQz89RjqV/DHW83CJd3DB0vzK0NTao/utkyYVXLRgWJBttg92bRGZfUpYVvN24+ysf70XfRsVEHwGiZS3aqtiaoaFUII759eSAEAd3d3zJs3D48fP0ZWVhbWr18vaJ9iCwolrB1c5Amj//byk7h0P122oFIoYFjFhVl19UtFctGRor1K+JZ79EIKYCy9rz+j7jb0QFHjWnlMnlEwH5ZoVLgdRGZOvuBylDnLVKay1uXn4oB5Uoox+i/+sPpiM3WhzdX4tB6LD95CjMBO3jdS+F3PJ62/IPhsJvriceu80kHxuBpSU/ZbRvcTecIKXwRhoTIxZ/5tZ+7H3D3Xea+zlLxCHep+vdNQZ+ftu4FtF5Mkb8uw/GgCjsc/xuBlpjVeQJGH4pEbjzB//03Z7VEounVqVvFguu3CA/RfrF7cLbVtNgRTf36Cz6hfbpbGrzln9saievjGOWtBNyUUwOCeLKFCPODZ3XLv1RT0XXTMqJL/eugW2s7cbxS9Vg9zxifaQMywK+GSnVeIJt/vMdlBcVOXo0r98zj/Oqi1sEQhxrW1KdQRNGHsQsuEz2vIFKYGPD4PADGE9uXgfq3Zu65h1J+nzVrW/HR9kSbt+K1HhmWG+NQsizVpQlVYR4Q3YDQHroZUbtOR29b42rDQMhtzPLr1MAszd8lfBpbK09wCg42CFKNlPoSCToq9I7k1ruNPxcI6sx4zQx289+dpxPBoAA33WahSUVJY5mtzQunrL+XNvhlZ0m/3YC63BEwIrAEVVATQGAK+mdaoCAkUT3MLjDQq3265glsPszB7N/9sSccx/DOVPyW4liwciA0w7ljltPvPLfB64kIIwZRNl7AiJgFAUQwHU4OtkhoVAMgSiF8jFilYCGsZraU/y8efx28bPAPm7LmOLRce4Fi8fOHK190FsbefoO/iY4ZlhpMJ/PZK8iC8M76fdl9Dra924NB1ZfY24rZHuZ9AR+R9N776VyDQp1h7iUIfC8rceuis1fC+QDEtshThOP1ZPn7ec513Hx0m5xLTJKdlCUpGSeALqy/0RvSTk9JeroLn5GCpZsiW4VyooCKAnL1+xBqf0CmhsPksjYpIutbs1Jh5zckvFHy2UJmUImLSViw7koAv/72ENScTEfXDPny8zthWZtflZPRecBR3HmVbZCPBtVEREw6fmdiIjw85ebOkj1l1MhGfb7iIzzayl2FyeQwtTeHv6cIaIOKSMg0RWy3l6/8uGR2bu/cGAGDyv8bnzMFYo2L8YsXaPN9uxGLwfTchuzchLz+1NifVG6ubO4AJGVeL7XFj6lGEEHz170XM2nUNnX8W3yus+7wjoufvPM5G/Sk7xR8oASWXfvjqlmBUZf3SD897NkdTbKljiNpbiog+22ZPtnP0n0SSoCJyidD9gqpuxthhxQ1ZRWG6WMeJbOAVNX2f4Dml0RtB8nm5DP/jFE7dfoKP152zSG0rp2GaM9u4LiOyrRJVYScnLo05HbCfhwtKexfP8HozIu1aAiFAjojrb6BMN2IhuBpSvjcgJnjJbZO8gorQ0o+8pC1GqwH6LorBvxKDV3IR8ooTU0KfvZsmmiYhwPFbRRo6bvRtvrdm6eBritjbj/GZRDsrKfC3Of4yXH6+9xT/dgHmaFRk38KCalTsEP0YJcVtU2wGISSoCBlf6itySmaOqIbCmnUmj5EPjUZYs5Bk5lq3OQi9cWbHdTz+MW8YbanI0RCZ2tCOD703iKROR4FZXaC35YO9v6cLfD1cDL8zZbr3CkEgrrHycVPGQfHdP0xvGPrP6buCgcyk6lN0OoKTCY9ZHkd6hCIuW3vGeiUpA8cFwgxIITuvkHcrDzEBeMzfZ0TTFLuX71S+JYGSJNBrQQzvNzSXozzReIWK/M4fp56fN77gvZWncf5uGtKf5WOtiMcPE0s1Q2pp9qSgqnuyI6P/KOnPTEcfFV/64T8nFHW1QEdw/m4auv0irta0Zp3hClv24O4n1ObOJD5h/V58MN7sZwgZp3LJLSiUFIKej7wCHXrMO4LqIT6Y1ac+CCnSCPm4s5umEvNG7h5M5vRbfh4uiuz5w4UQIlqvuOd0OoL+S+R7enANCoUEjybf8bv56ggkvbjVpxIFPZ7yBfoLvvJ3mnMI92R6JlkTvsmJ2MTNFHJn/VImkvbEO3+cwonP2iHAyxXXkp+iZlkfk22b752cSHiMbr8cQVTVQF4PPd50HHjphwoqAui/yVkJBltibl9y47AQQrDqpGkJmTn7tGZTVdKI1xKEBpg1J9kCg35nWTWfuUTGTqlcjsc/wuUHGbj8IAPXkjORkZOPxMfGA5MSy+TcfsacJJ00GlXqG4G8Gdu1lEyLtAGG58osjE5nWqdy+X4GNpy+J3heSKPCV35mLB2lUWuGfPr2E+y8nGzWvaIaFZ5j1twPTCnupT3DDzvisC72Lj7uUB3RNYNFrxerb1KFFKAoSm3t8n7wY2hE5WDLnp8KKgLIGZD/E4mOKdcbpFBHJD3ZlloNW6oA9fD1Zzn5haKBj9R4JgD8uNN8N1Kmtkps+UgJF8nbj7Jx5k6xxsncdW51NhW0TUco3z3Z9DVLj8TDzUV4Vd0SLYCSNhlqzZCHLDPfVT1PpuDhaBoVAPhw9VkkPCqa3P6y9wba1QwSvV4p9+hFB29h5+VkLB/6EspxgnhKQYFA4WZDBRUB5LRhJZtKoU5cBa7n9qNsFBTq4KzUBiwyMKd7UzpwF19qansdqdElPhNwd+ai1Pj0+vxi41dzkvxl3w1lMsKBADh4TdgFmVt9FNsgUeZbkHq9m7NwEEb23kMEBTpitOeWEB9I3A1bCnyP+2H7VcXSN4fuvxwRfMd8fYg5bf7ojVQ0r2J51Gtz0QspQJFHj2lPKOWeHZ+ahdYz9psV9duWE1RqTCuAnE+i5CxHR6R1wjG3HmHkSmmRJJXElNU+H+GfbkHEpK2K5oOv01LbS0ppYQsoClYl6dmKP9m+Nh8TE1K4PMnKU0z7Invph5i+RwPAXVSjUjy4Dll2EpH/24XMHGk7cW+RaDclBT5bkvkie8ZYA6F9yQD+ZQ6+YJumGPCrvL1v1ESjEa9Pp+88MStmiinkLBnpsaUenQoqAthKeCzUEcmzxd1XklV3z+Py5caLdrF/C3NWmpmTj9Un7yBNYAdRpbBludUQkhwJfenn77+Bhv/bhb9OWL69AjNdqeiebwNiCjGNSoGOICE1CytiEnDg2kNk5BSg7cwDSMuWJqwohbX7DjXotUAZ93hb4aTViO7I3XP+UZy+nWa9DIlAvX7sEFlGowp+P7kW86tOJlp9BLUHA7YnjE594j/nsfVCEioGGG9lriS2lBUs3RyTH8cbqH7YXrTj97IjCYqkJ9feRqrAKKZRIYSgzY/7WcfMiWxsKWoa6lKkkZadz1qO5UOKQ4c1oBoVO0SO8KikUVp+oY53N1shdl3md3NWE1Ohra3N1gtF7+COhZtumUINFaxULIkHI4QjKWnU0iiZY0xr6haNRlyjovYmd1Jh2kq8aNjDZEsqYhqXFwWqURHAVtKj3D7s7hPrx1i4b8a6cEkgIdW4Y9fvO6Q2uQXKd6z2MVw6Foeup+KbzZdNXifm9VMCVlwcnq4m4lTZE0+svCQohC2dPalGRQgZX8WW9gPXU8Q3FKQoR59FMUbHvlRoDxpTmLMvjynsZGLvUEgRUjTQwF1Mo0IlFVGsUS/pspdjQQUVBaDdDkVtxPbBMRdbLmXJ5fSdNLtZq5eCqzPVqFBKFrYM9kkFFSWgHQ9FZdafvovsPOX2HAHU0dKoRfqzfPQwsVuuvWBKGWsvNioUiqNABRUhZHQmtNuhqE1Ovk5w7xhzmbD2nKLpUYoR01ZRQYXiiFAbFQfnRY9xQbEO/54V3qqBYj8QAhSKhHafssm0ncuLDO1N7RO614+DQxsWxVpsPn8fneuUtXU2KCKY2m/qBjWAF4XO+yhcqKCiAPfteBt2Ssli9F9nACi33wuFYm9QDbWdQpd+7A85TcXWO3jSZk2hUEoKcqNzU0o+VFApATzNVdYbhEKhUGwFjTND4WIXgsq8efMQHh4Od3d3NG3aFCdOnLB1lug6KYVCodgA2vfaJy90HJXVq1dj/PjxmDx5Mk6fPo369eujQ4cOSElJsXXWKBQKhSKR8NLKbApK5RT75IV2T541axaGDx+OoUOHolatWli4cCE8PT2xdOlSm+bLkaJ2OhJuIhE7KRSK46LUJod0KZvCxaajRl5eHmJjYxEdHW04ptVqER0djZgY431VACA3NxcZGRmsP4rjoORO0xQKhUKxDrbsuW0qqKSmpqKwsBDBwcGs48HBwUhKSuK9Z+rUqfDz8zP8hYaGqpI3uk6qDloqp1AoFIrDobHhJNPh9PCTJk1Cenq64S8xUTy4EsW+oBoVCoVCocjBpgHfAgMD4eTkhOTkZNbx5ORkhISE8N7j5uYGNzc31fNGFSrqoNVq4OasRW6B42yIR6FQKBTbYVONiqurKyIjI7Fnzx7DMZ1Ohz179qBZs2Y2zBlFLbQaoHW1MrbOBoVCoVBkYEtluM1D6I8fPx6DBw9G48aN0aRJE/z000/IysrC0KFDbZ01ioUEeLnicVYe65hWo6HaKgqFQnEwXJ1sp9ewuaDSt29fPHz4EF999RWSkpLQoEEDbN++3cjAluJ4OPNYztrSIItCoVAo8nmtXlnUq+Bns+fbXFABgNGjR2P06NG2zgYLOpxajguPBJ76NJd6VFEoFIoD8cuARjZ9vsN5/VgLS7xT5vRroFxGHBgn6otMoVAoFAuhgooAloyxdIAuwsWJvgcKxV75ZUBD9GxYXrH0RrSqpFhaFAoTKqgIYIkthS03b7In+JZ+KBR7wcvVydZZsCmv1SsHH3flVv8/6lBdsbQoylESJs50JBHAEptPai9ahLOgRoUaqVBsz+GJbRHo7WrrbNiUQgUNxmgwR4paUEFFAEsaHW2uRThrafWyJTXL+to6C3ZNKS9XnPriVTQJD7BZHuqH+iueZlk/d8nX6hScM0iZuPN5AlIopqAjiQBi7Wlqz7qi99KJRRFCnZI9e/0oqQq3BCX682EtIyxPREGqBHnbOgv82LC9llFBo6MB0L+JtD3QdApKKlKWy7mXlPZ6sTVa5tK5Ln/kdj5KwnBEBRUBxBpd/yYVTd2tbGZUwBo+8UJLP2rKKT5ulgka9qK+dlbAvsfeJq+7x7e2yXP9PV1s8lwpqGE/oNFo8HGHGpKu1Vl51sC13/uqay2rPr+kULuc9P7bTro0i6CCigAWLf04QMVoGqG+utsWxrTL325i0f32Mri7KJARR6iH1uCf95qjb2NhDYMtX5May6MajXCZ/DzYQluhjbfcCqAaFbN4rV5ZW2fBqlBBRQBLxglHGB+soTmwhaBiabFKlkZF3bJ4OoDXzLc96qByGW+7nbmroVHRajSC7aBrffYAZ22NCrdzpB6S8vH3dJHVtkvCO6aCigCWaVQ0qGXvhoxWqLu2cIuz9In2EuJfiRg0apfFEdwe33w5DADg5eYMXwH7I5tutqaKoCI8OHE1OLkFhYo/Xwz7rzH2DyFFu9BLpgS8dCqoCGCRe7Jy2VCUdjWCDP+3huZAqC0RFWdxlg7O3DxXKOVhUXrmooQQoLYcIWeQbV65tIo5kYa9CKFM1LJREeqEuM9roILXkRyUdI92ZFpXK4O/3mkq6VodIXazRG0tqKAiQEm0UfFmzCitUdFtoXK0XKPC/l3VRp4qTgpUIrWFUScZ9hW/DX5JxZxYhi1V42oIKk5a4aUf7uG3moVjQFNTzgHKwc2Xkl5HjszvbzdB8yqB0i4m9rNEbS2ooCKARTYqCtWhEa2VDUnNnLzYqqLP7ltfVa8fS4vFHbRsNQuXpdoVSkPlrMsxo/FwAHsWMcrJiE0iBzUEFWetdNHL3cUJb7eQ5sauxDIVN2eFCggqnepId9UtCRDI7OdKgCxIBRUBLBkoXJy0surG38Nf5j3etV45s/PABzNPSnaPpQTcPwnPW7D3IHDcgYPvPZkTD6QtY9nNnHyYA1fImt5LPP6PXMzR+kgdFJm0qlZG9j18CGW3k4SYFBVKeSqSBy7q2KhoZArY0nqrzWNaGv6v1L4+lhrzvtMyAvMGNEK3+sr2lVJZ+GYjLHmrsVWfWbT0I/378vXDgLxYLLbGvkcNG2LJTFruYCwUxluJyXyIb/FMkGUboqCmoGOdEMzqU1/Stc5ajaoB3yxV40t5LeNfrSYrzZXDmmKezG3SuR3Rua/ay7ofMBayWlZVZsDX42SGwe/otlVkuVZOeLUalg5ujI9V3EdmYNMwk9eoZUuhhOaMi7OTOotZwT7FfclL4QGIqipxqeI5/7zXzHjpx4L3+kHbKvioQ3VotRr81LcBejSwvrDyaq0QvFor2KrPLNTJE1T4lFYhvu6oEuSjYK7UhQoqAlgSVluux4aQUGRpd9O/SSi2MGZBBYXFNVZKysG+bvj+9bomOySNRoMWPOurfH2QEm634nkBlg5pjE86mjewcTsAJeS5llUDZS99cJ/rZ0bQMm5ZlB4TzdGOBXi54hcZQtsH7arC2UmLUa9UgbeFwfyEkKK9UsuN19Il2H4vGceH4bonh5Uu1gbxPU5q0bj3Lh8qL2ZR3fL+Rv2OuXFc4r7tiAntq8PdpahdabUa/NSvoex0LDUmNqdNVSjlgf9GtzD7mUWCitm3AyjSsjiSlQsVVASoHuKDTaNbmr6QB7nxQ4QqnaWD5Ku1glHa283wOyMnn/FM04kfmdgWA5pWxB8mgqhpwK/C5uv/nLUa1cPUt60RjPfbVMFbzUzPlLkYvxbjclljvxLmssroV6qYlQZXjlB6nu3IngdfviYvropaRp+WvkK+vqbIRqU4ZaWELGaaGo385Um+LsdcTZWbszTBf25/ceHFw8Uy2ylzNO+HJ7ZFvQr+Zj+zQEfs0oNNTaigIkJdM8PMC+8azI+Q0GBp/8KtzGxBRfxePw8Xg/bDVKMo5enKqynh16ho8EWXWqhUxot1XIm4IQC7Mwz2lW8AKUWAq1TGG13qspcvlF7vZebjIzOXPbiCidBatbnY2t5IroEr823I3QdJLecUS5d++AQVLcfrJ7y0l9E1TJhF+6JLTd5r9kxgb39gTt+kgXFfomaoAgDoasJ2Rek2YQqmdssS5AiJfO+Ye2jRoEhLs6QqVFBRAfkaFQFBxcJGpE9Vv9dJs0rFsSxMjcdyBPYRrSsJCBrG+XfSahDi5469E9qwr1Sov2AOzuYYpHLv0GiAzzrXMDo2b2AjvMswKJzVpwF+6F1P9vOEUMJ2wdgewOIkWQjlsXdkBWUf9Bxuh+vqLK+dWTILVcI7hQ++HK0b2Uzy/XztzpkjqDSNCMD0XnXxz3vNedNg2p6U9+ePG1S5jLfF6h8nHm8kofc66OUwwbyIUT1Ynt2Fu4UaFVth+dIPm1drBqNxWCnLElURKqjI5E+BoDw9G5Y3/F+uoKK2Fm/b2ChM7VkXo1+pynimMg9d+GYkfNxdWLPr71+vixOft+MVPoTejRrDgDleKXy3vNuqssn73F2cZBsXiqHEsopGo2GlI7R8Ya6HkdASWDkzBhhzkNvOPowuqv99GssXpFQLNc/zCuUIYHzvwImz9AMAfV+qiEiBgcjP0wXbxkZhz4TWon0R85z+/1I1iWtHNuMNRCckqLz/SmUc+bStpLSZyLXlmtKttkG7G10zSHRPKHvClOaX6SnH94q51dneV5LsY097B4KvE+5Styy6NSiH9WfuAZBvwyB39uyk1Uia4ekrc1k/D/RvUhE5+cXhsoUqZmkvVzzKysPsPg1k5Yk5s6tcxgtBPu68wofaYdeZ5TJHK2FkTGvBvUK8WisY5++moXFYALZceMB7jSLuyc/T0T03oi4lsAGck0aDQjNERaE8co9G15Tnmi2Em4sTsvKK67DcdzSoWTiiqpZBxQD56nd7M6YdF10VEYFeiE/NMjrHDfgmZVJS8/mWH9eTMyU9X/86Wlcrg60XkkxeLxylWuh6896LKZsTbt8ZVtrLSLubX6gz9OWWMKR5OJYfTWAdU6r3E3o9VYO8MbBpRfRrUhE1vtwuOQ17t3mhGhWZ8DW4eQMbsTpNFyetrLVXuY14x7goTOlW22S63LrHqpgCTeb4Z+0Q921HvCIz7gezoovJUEJCnJcEr5hvutfG5g/EDZyZZTTH6FXsnRmOPf+X+42lPi3Ixw3HJrXDhPbCbs5SOw6xXbA1GnaH7+3mjC1jWhqF6hYzNdk2Nkrw3NAW4bzHqzHU7xM71sDiQcZxJswJqS83XsXXPBsRhgd6mSXAqmWjwpcTKUbP46KroXuD8iLGtALPM2NAqhTo9TxfllB0d0uOd6CnmxN2j2+Fzzvz28bIxd+ERkXK8sbkrrUVicvy5svqRPx9uVKAoCD3+9tNMKRFhARBjzjUZoVUUJGJ0MdlHlfKMFSIKkE+koJUGUVZlVAxnZ20ki3qhfD1KFLU8QlrTIFu14etABTZuEjZ7v2tZuGoU17cwJlZRiU0KrzPEHInl7OjqUYjaowqNSU3kRmkk0ZjpHWoXc4PzasEsuwVhJbIrn/XyTDT5oPbmf89/GV80702azmglKcL73dYMFC+8V5kWCkkTOti+B3k647/RrcQ9EqrbaKuMBnQtKLoRqJqGX3yugvL0G5VLmNsKFukUTG3DzK+T1+HlJh1T+tZj2Ur17F2CKoE+WA4J4Ccua/70041RM8TwBD3pE11/rhCfp4umNRZPB1piL8vc5WmCwZGsvqp/k0q4s93muK3wY0NGn9Tn8rRtlhSRVBJSEjAsGHDEBERAQ8PD1SuXBmTJ09GXl4e67rz588jKioK7u7uCA0NxQ8//KBGdhRFqAI8YyyrSDHQqsvoRIUECLHKJEXoEKusyoUzKc7kjN718GF0NdQuV1Q2vlmojhE3oWqwD2581wmTOtVE/ybKzD6YZWYOwMuGvIT/da+N0iYEIm5nrH/PbG2U6WeLoX8tYpoMJTSxpbxcBQWvRhX9Df8XEujEbEB83Z2N3lXDiv54q1m4pAHNnLgwelYMa4I21f/f3pnHR1Ft+/7XnaQ7CUk6czrzCCFkYAgQgiRMMQMoKIogUYlAEIzTAyFGPAzqPfDEix8OV9FzFPQdeaK+43CPB1BGBY0oHAKEIY9gGAQSFMiADEnIvn+E7nR1qrqru6u7q8P6fj75fNJVu6r2rj2tWnuttUOwfFI6MqL8BSPXWvIK/3x/OjaZ0B7ZOq7npYR2mxiDfdQ2x1EpSNViYWEy/u+sLCwsTEawjwovjksRLPusEfHQeHmgZHicTc+1Fo23Bz6aPQy7F47Gif8oEoyrZK0jQbjGy7TWlQGrHuqP/5zcH38x4brs7WG7VYS5qrVmeTdC43m7X3cd6x3qg7uSgjE2pSvwnDn7PBeTU+xjo3L8+HF0dHTgnXfeQVJSEqqrq1FaWoo//vgDr7/+OgCgubkZ+fn5yMvLw9tvv43Dhw9jxowZ8Pf3x+zZs+2RLbty6epN/f+9RASmyukdjMPnmkymMdVZxYxvxkk49hsGPwbHBmDf6Svmb2iGyUaGaHy5N46boBuoZuUk4JN9Z3Hyt+5r7kKYy7fhGKhbygr2UWPuhn8LXmM8duhek1KhMBvzwdJhx9RAJfZepr70g33UwnYkBvVvzYD506K8bsf4Jl0x7fSupCB8X3tJ9LNzeocgR0SUXSmX3W39Ah2VHIqHBkejz0ubAXQKztmJQXhrZ223tAHe5rWLOhQKBZ4c1RlnZ3hSMOaOTIRCoeC0C8N6CfXzxL//dLeoOl98Tz+89vVxvTebLa/TuC6ieeyEVO5KtLZ3fsnY8r7TIjX45IlshPO4rzMw+Hp64AEznmkabw+U5sTjb7vrrMqDkIbYsN91/i9c0HCNJxbf0493vDK8D19VmtMmM8ZELXPLBbtoVAoLC7F+/Xrk5+cjISEBEyZMwPPPP4/PPvtMn2bDhg1obW3FunXrkJqaiqlTp+KZZ57BqlWr7JElyRBqAN42RM20poGIusS4IXKeadhhLH++GPgm0XaBUJRuSgXyUmwPRW1YlPEZEYjQeHI8sorSw/GpCfdPoXfBV+3GxbP069ikoGJjpYxODkGwj0rUhGSNLY9Oa7iupMtuxFpVttR7WnUhn5FXaeSBFdBL1fkOjer5lYmpvJO4WHTtxlT/FiuYzhgRjyPLCjEwJoD3PpYgRvD4+rncrvTWPwoAMDQ+0Kb3CACLxvcT9PI0R3KYr9nWZ64aKivGoijd/HYT1ixx873fFyWyE7IHDrNRaWpqQmBgl+FfZWUlcnNzoVJ1SZ4FBQWoqanBlSvCX8k3b95Ec3Mz58+R6JpEeWHnGuZzt10ex6VpMeOueEk3qDK59CNi1PDz5KrXDa/x83TXT1BBvdSwFku/fBJDLN/QzxIMX4uP2h17ysdg1ZQBnDTG78UQY5Wp7qdxVE5zzxaDKcFGvEal+7GoAC+sf3woFApxUYAtFbC8DQyftX5dXnDWLmNIoYbm/aqUVKNiWy5vMf5oosZ5fDBTevdYW96Dpdq2hYXJ6Ku1bg+Z+OBeGJ8ejjF9Q+22W7Wl1Whtm1YozI/R1oRP4H+WFYIKz3vQCaRyxCGCSm1tLdasWYMnnnhCf6y+vh5hYdwvaN3v+nphd7fly5dDo9Ho/6Kj7ev3brwZmq5NzB2ViMqKMXh2bKeg4u6mxOJ7+4neoMpQLSnUzEz1KVNN85WJqZgzMrGb4anhNR5uShxeWoBjLxdaHEnXEH8TamrjzuDv7SHoIgsADxntW1KQGoYHM6Mwtm8oVk8dIDJH3LLwfW2YjhXBb6Ni7hjftUKIGSzF27uYjjr5VvEgJIT0wtpi4f11LNGoTM6Mwhdl/PuUWBukTgrDPr4JVUqXS1uz2GG0P4tO8Olm8G4iywWp1mkcLfHuMNk3RAjrT45KwhYDzYiY+xryZvEgrCsZYjd3WUvr0dqxsdPjznSa4mGdW3wYe0JZijXdjrEevNfPCy+8AIVCYfLv+PHjnGvOnTuHwsJCTJ48GaWlpTZnuKKiAk1NTfq/s2fP2nxPU5QZ7bNi2FnDNV5WdahZI+K5E7bBLZ4c1RVczNRXnKnHPpodx2v9bhxjxEvlBi+Vm1mXPiHmjEzEsARh99g2o2WecI3pQGCJIT6cvTneeXQwXp/cH++VDMHEAZEmruzCGtsdoMtTyzg0vqnyGdeOlGOr2MnF3CSfGqHBjvmjTKqQLREwVk7uz3E/jr/tuirk6SamHFKEMR/Cs4molAOxcRyVwlTLtky4JbA/i1g7gUNL83GPlUtklrRL01pccenszSv3pVl9raWaMbEapY2zh3F+K6AwG7jv+fxkrH98CN62IHw9bxuyoqX3aGPa+fPno6SkxGSahIQuN7Pz589j9OjRGD58OP76179y0mm1WjQ0NHCO6X5rtcKDgFqthlpt/VKFrYjt9KZUhslaX8Hz/SK6XCRNa1RsG4YN1Y7z707Gqd+vWRz63JwroLGgImaQ8PMSLzSZinFi+rruqQ4vLUBD8w00NHcZRa96qL9eQPJwU0AXayzEl7/92bKE0j2T3Q/dkxGOrw7xB4izBePBuF+4H/42XdwSppfKDYeW5sPDhn1/Bkmgcl49dSDe3fMLcpJC8Mh7ewHYz5h2dHII/vOh/tiyxHygMx1CARqNA0gK9Ws/Tw8UpmmRlxImGGFWCLkH87KUiQPsZdPUHbHaxmEJ3LhACoX5yMkqdyVGJ9seDNHapT2+ZpES7odjFxxrTiEGiwSVkJAQhISYt7YHOjUpo0ePRmZmJtavXw+l0UCWnZ2NRYsWoa2tDR4enZPT1q1bkZycjIAAea2V5fQOxu4TvwMQP/itnJyB8X/ZI3jesHFZ455szVeokKV4QC8VPrTSaMwUrUaCipjonrrgUqZICvVB7cWrmDAgEj+fstxbia8OPT3cEBvUCxdbugSVSYO6BDdDrYOXgIAhfrzofA/eKnf87bHBYIwhwt8L3534Da9tqRG812sPZqDlRju+/f+/dd1JimUToxdyd78wi/ZZMWXzY+ql/FgxFvXNN0zGahFLiK8aFUUp+PXKNf0xW11/DTF8z+PSw0169i0sTNbXow4hj7H7B0bik5/P4qdTlwGYHl883JR4V6QAaYglb0HsK7P01UpRE+8+NhjtHR2m25sZLO0u1kaIVioUFm/xAHR9jGQn8AdEnJbVPYyDVe1c4EUMTwySpaBiFxuVc+fOYdSoUYiJicHrr7+O3377DfX19Rzbk2nTpkGlUmHmzJk4cuQIPv74Y6xevRrz5s2zR5Zs4s/3p+v/F6vJ0MUS0bF8UrpRCsuFE0Ns3STNEV9Zbe3cPIopW3SgNz6dk41t87qvc+v46ukR+HbBKN4ok2LKZZzCMFKr0NVi3pY1A8bd/cKQn6pFWqQGpTld2ki+W3mr3FGUxtU28tuoWNY2jJ9ljReQICayotV4YkC0v3TPgnTCySPDYvTLWsaYersLCpL17sKGCPVXN6WCE1zMHr1Sqq7u7KWfvH5hKEwz7wVjCkvzbe0O4QoFoLJCUPnfD2Rg1UP98fYj3ZeDYgK9MWdk933HJJRTJDVAlxK7CCpbt25FbW0ttm/fjqioKISHh+v/dGg0GnzzzTeoq6tDZmYm5s+fj8WLF8syhoqYuCjmMAxoFhXgzdWoGA4AAOKCvKFyVyI1wvYvTSEc0SCNl37E7pcyJC4QSaHCngM67Qcfli79bHkuB8MNjNlsGdRtnRAMLy+6PSBr/bjeD8b2JHyv1NI5xHhyD7OTx4UpdMbSL41PweuT+wMA3pwmbAAshEKgX1lK71Bf7Hx+lP63WOFPSCNoLKgItV8ptUDW3NMew0Kkv1e3Dzdn4ShjWqXCvI0KH73U7pg0KIo3IOKQuEBeDY81bUaoPUuxa7s9sEvAt5KSErO2LACQkZGB3bt32yMLkiJV1W2YlYXai1eRnRiEbUcbeNMwxrBt3ki0dzCTEW6DfNSYNDDS6s2z7L05IADcbDe2UZH2/rw2KiKKZVj07upZCxZwJN6B1HDAGRjjj23zcrsZIBu3iVADQeY/7k/Dq18dMxlx09xz0yM1nLgzNiPynUwcEIm7+4XBW9U5JE3oH2HVQM/xTLGh5xrXpZimm5cSKuj1135bUPnhhTG41nrLREAwS3IpDouMaU3dR4TXjzEebgp8t3C0Q8YbIb56egTuWdO5DJ8v0itTh7XaRaVC+jFWMMaTmW7io3bH1ZvtPPfrfkOpXKalhnZPFoFU8+tdScG46/bXu2HjMm4a7m5KiNluZ9WUAfjnofNou2V5Du3x5WZMbp9gfPRTl1eW1NpiS1yHhdIYq2dDfPgNZd+dPgSzPvgZS01sBmmrp45xlfBplQpSwzAkLgCXrrYiOzEI49LD8c+D5wEAxVmxmDokxuIB0vAr6uWJqYJhze2NTkgBYJWQAkinUTG+1LDOjGMBKRWdxtimNK8dtwUVvt3XOc+1Q7+U6o7WLP203WJOFVKAzki1+17Kw091l0WHj9Bhfd75r7PlTXh68PcJoXHn+xfG4Mi5Jvio3THt3b1IDOmlj/wtvPRDgkqPQLL1XomGj877WGNYK8njTbJofD/0CfPFsn8eBWC7XY1UGJbdWLUbE+SNlQ9mdAtjPjQ+EAeX5JucSGxe+hFxA7W7Gz6d07Wh4I+/cEPPWzOwcpchJf4KlPRuIp5n8EBJjWnB8M+nRuDUpT/0XjezRsTj3T11ePW+dLPLw+3ObPtOWPrR+nlKZigtBcE+aowTEeXVGGttVKSUzZZNSMUn+87iuTz+3dYjA/iF30h/L71R/Pb5IxHp74W+f9oCQFjQFLM5rDOg3ZOdhEJgcrDGAMsaHPGV46N2x+N3xet/i7VREYu1Sz+G8FnmTx4cjTyeLy/jSXxaVmeAOt1mc4YT4/iMzkFx7qjuxm9iXoMjjRXTDOwHJDWkdQLWLE/w36i7LVB6lAb3GuwYvWh8Cn6sGMvriWFMWqSJnZmtz6UoJNOoWJB24+xheGRYDP5qQYwQOWKt171x2/O5LchOGWJ5gNLpw+Pwr2dyEGyk7f37zKFYem8/3hhCxiSG+HCWjYW8RsW0ZWdAGhUnYTzpPTu2N/595grvBGkPLF2LnH93H6z/4RQu/9FqPrEAUk++WiuNPg0FJmtcCHUkhfri0NJ8+NxesjB8o3NHJqKiqK9Fbr7WoLEg7owxm57JwZcHz6FsdBK8VG640HTdrgbcjoDzAWDLfYx+8ylEFAqF2TY4oX8ERvQO7hZI0BB7C6VSaZb4tG1j+oYBONxNcxIX3Auv3mfs6eh6WGuzoXvnnz85HL9euY6xKaE4/GsTBosQKsQidnNOPoTanCm7SGdCgooIrN3noyhNi83V9RgY49/tnMLo//91N79azxhTho6PDIvheBeZwlIV/9Nje6NsdBISXtxk0XUAMGlQJD779zk8Paa726Yt+Hl6YNu8kTj1+x+Y9X/2ARD3FW1o02OrBsswpoPxskNUAP+maGJi4MSI3FAtJdwPz+f34RjViqVfhJ8+wKAp2xtXwh72GJ1YNwb0CfPBQ4Nt2+ZDKOqvWOy5zBviq0b1sgJ4yXSCsxVrhbyZIzo1yQNjAvR76GQJxEZxJMsmpGLJfx/B6qkD8cvvV3nTBHh74Mq1NgfnzDQkqFiIJc32tQczkNsnhDfctmEHENsX/vpopkkJ2pIvmF5qywcWa13XXn+wP54b2wcxQbbtZspHUqgPx/ZFjADW3tHljWTrJGCI4bODfa1b6/2xYiyut90yuSeSMU+N6W3VsxyBo6OiGvYrWxQVUtmQScG/nsmx6Xp7L/34SBC+Qa5YI6jMv7uPpJoTKZk+PA5ThkTD08MNa3ed5E3z/+YOx/rv61B1thHV5+QR/K3ntjAZ4OvpIajhsGb8zrdwfxE+ygv74lzjNaQbbVhoT5RKhV2EFB2WqvsNBRupbXU+Kh2G623tCPUV1nAEmtit2trlLKITqeQi40B01i7PiFGlx5noG0/kJnD2VrIGi+Ko2NFY3BURikI9dUi0oAeRv0wNUnWYa5OJIT549b50PPH3fSSouBKGFv2GLpS2wJ1chUeAvJRQbDt2UZJnAvzGnZYQG+SN05eumU/oQCwdP/tq/ZAa4YcwP0/Jv/izE4XVu/81bSD+u+o8ykbbVgeEMNw4Kpazp3w06ptucPbcAizXzrw0PgXbjjWgOCvWbNogHzW2zcvlH1ukaJ6WxFFx5m6DMkTlrsRXT4/ArQ6GiW9+rz++4oEMJ+bqzoMEFRF4erjhH3OzAQhL2JYiVrX8YGaUaUHFwV85700fghWbj+FpGS03WBo7w02pwFdPj7BfhgS4JyPC6h1wCZHY2B+iArx5bYss9ViblZOAWQZbIphDKBKzFIaw9jSmvRNIc6D2WU7IafmTBBWRZMZKu+bIWXGQMDCVvUkK9cG704c4+KnmMPyKFvdG7tRBt6dj2K+k1A04S9HgYIUK9QtCj5yaAsVRcRLiBwQZtRaZIlU0UkJ6HB/wzT5PdNaSiBTFoT7hWEJ85G2josOV2gVpVJyE2MnVlRqTs5BIOUX0AOzVFlzZckOuYdF7Gm8VD8KBM1eQ3892pwdHYK5VyKnZkKDiJEifIh1KS91+CIfh6MHObpOy05Z+bC+PnCacnsy49HCrwvQT5qGlHydhqKI2NY7QmrF56BUROjgb50l4X0fLKbG3XZaL0q3/Og/x7XSDz5ZBoDHC9SBjWkK6zQ3l05achsIKY1rCvrgrFWjvYKL2IXEFHG2j8vVzufj96k3B6MZi2L1wNK613rJooznqPYQeGTUGElScBGct3VSQJftnxeUhY1r5cWDx3Wi63mbTRGsNPWXlx9PDzeZ35+nhZvHeLeZ2gSZ6Dq40VlKrdBJK0Us/9s9LT4Jelzzw9fSAr6f1GyZai71sVO6UOGjDEgLx8NAYJIX6ODsrhJOR01hKgoqTEDuekqBiGWTTc2djr9q3NOCbq6JQKLB8kuvvekyYx9wyuZzGUjKmdRJiNyUkmwuCEI/Ug2tfbWfE2MI013A5JQipkNPMQxoVuSOn1uIC0Ou6s5G6/j+clYVvjjRgwgDa+oAgnAUJKk6Ca6Ni/fBKGhcuMtJWEk5AoQB6h/qg8Xob4oN72Xy/YB81pmXx74BOEK6MubEyOtDLMRkRAQkqTkK0jYpE97lTIMHtzkahUGDLc7noYAwebrSyTRDWUjY6CZf/aMM4G2L5SAX1ZCch1kZlSFwgVG5KpIT7CSciuiA55Y7HTakgIaWHsHrqAADAKxNTnZuROxBvlTuWT0pHTu8QZ2fF/oLKzZs3MWDAACgUClRVVXHOHTp0CDk5OfD09ER0dDRee+01e2dHNojVhPRSu+PQ0nx89fQI+2bIhaE4KvZl6b39AAAvjU9xck6IO42JAyJx/JVCPJod5+ys6Nv/4nv6OTkndx52X/pZuHAhIiIicPDgQc7x5uZm5OfnIy8vD2+//TYOHz6MGTNmwN/fH7Nnz7Z3tpyO0oIJ1dKgTQQhJSV3xeP+gVHQeDs+LgpByGX8m5WTgAcGRSHAgki/hDTYVVDZvHkzvvnmG/zjH//A5s2bOec2bNiA1tZWrFu3DiqVCqmpqaiqqsKqVavuCEGF1ijsA71V+0BCCkGgRwkpcoqTYg67Lf00NDSgtLQUf//73+Ht3T0UdGVlJXJzc6FSdVV8QUEBampqcOXKFcH73rx5E83NzZw/V4SWK+yDK3U+giAIwjx2EVQYYygpKcGcOXMwePBg3jT19fUICwvjHNP9rq+vF7z38uXLodFo9H/R0dHSZdyBcPb6sck9mSAIgiB6LhYJKi+88AIUCoXJv+PHj2PNmjVoaWlBRUWF5BmuqKhAU1OT/u/s2bOSP8MR0Je/dBi+S0fvcksQBOGKWGIn6WwsslGZP38+SkpKTKZJSEjAjh07UFlZCbVazTk3ePBgFBcX44MPPoBWq0VDQwPnvO63Vivst61Wq7vd1xUxbCTM4Xuz9iwM+xu9SYIgCPNMHhyN9d+fwpi+oc7OilksElRCQkIQEmLep/ovf/kLXn31Vf3v8+fPo6CgAB9//DGysrIAANnZ2Vi0aBHa2trg4dFpqLd161YkJycjICDAkmy5JN6qrldPQcoIgiAIR+Kjdse3C0a5hHbfLl4/MTHckNM+Pp1bhicmJiIqKgoAMG3aNCxbtgwzZ85EeXk5qqursXr1arzxxhv2yJLsCPFVY9G4FKg9lFC5U3AqgiAIwrG4gpACODGEvkajwTfffIOysjJkZmYiODgYixcvvkNckzspzU1wdhZ6BIZxFtxdaeGVIAiCMItDBJW4uDheI8eMjAzs3r3bEVnosbiKRGxPAnup8NL4FHi4KTlLagRBEITrQ6O6i0NiSiezckg7RRCOIlnr6+wsEHcQJKgQBEEQovjhhTG4cq0V0YHdg3gShL0gQYUgCIIQRYS/FyL8vZydDeIOg9xNXJy0SA2Azq3tCYIgCKKnQRoVF2f11AH4r521eGRYrLOzQhAEQRCSQ4KKixPq54mXJ6Y5OxsEQRAEYRdo6YcgCIIgCNlCggpBEARBELKFBBWCIAiCIGQLCSoEQRAEQcgWlzem1YXmb25udnJOCIIgCIIQi27e5ttixxCXF1RaWloAANHR0U7OCUEQBEEQltLS0gKNRiN4XsHMiTIyp6OjA+fPn4evr6+kG/Q1NzcjOjoaZ8+ehZ+fn2T3lRM9vYw9vXxAzy8jlc/16ell7OnlA+xXRsYYWlpaEBERAaVS2BLF5TUqSqUSUVFRdru/n59fj218Onp6GXt6+YCeX0Yqn+vT08vY08sH2KeMpjQpOsiYliAIgiAI2UKCCkEQBEEQsoUEFQHUajWWLFkCtVrt7KzYjZ5exp5ePqDnl5HK5/r09DL29PIBzi+jyxvTEgRBEATRcyGNCkEQBEEQsoUEFYIgCIIgZAsJKgRBEARByBYSVAiCIAiCkC0kqBAEQRAEIVtIUBHgzTffRFxcHDw9PZGVlYWffvrJ2VkSxfLlyzFkyBD4+voiNDQU9913H2pqajhpRo0aBYVCwfmbM2cOJ82ZM2cwfvx4eHt7IzQ0FAsWLEB7e7sji8LL0qVLu+W9b9+++vM3btxAWVkZgoKC4OPjgwceeAANDQ2ce8i1bDri4uK6lVGhUKCsrAyA69Xfd999h3vvvRcRERFQKBT44osvOOcZY1i8eDHCw8Ph5eWFvLw8nDhxgpPm8uXLKC4uhp+fH/z9/TFz5kxcvXqVk+bQoUPIycmBp6cnoqOj8dprr9m7aABMl6+trQ3l5eVIT09Hr169EBERgcceewznz5/n3IOvzlesWMFJ46zyAebrsKSkpFv+CwsLOWlctQ4B8PZHhUKBlStX6tPIuQ7FzAtSjZ27du3CoEGDoFarkZSUhPfff9/2AjCiGxs3bmQqlYqtW7eOHTlyhJWWljJ/f3/W0NDg7KyZpaCggK1fv55VV1ezqqoqNm7cOBYTE8OuXr2qTzNy5EhWWlrKLly4oP9ramrSn29vb2dpaWksLy+PHThwgG3atIkFBweziooKZxSJw5IlS1hqaion77/99pv+/Jw5c1h0dDTbvn0727dvHxs2bBgbPny4/rycy6bj4sWLnPJt3bqVAWA7d+5kjLle/W3atIktWrSIffbZZwwA+/zzzznnV6xYwTQaDfviiy/YwYMH2YQJE1h8fDy7fv26Pk1hYSHr378/+/HHH9nu3btZUlISe/jhh/Xnm5qaWFhYGCsuLmbV1dXso48+Yl5eXuydd95xavkaGxtZXl4e+/jjj9nx48dZZWUlGzp0KMvMzOTcIzY2lr388sucOjXss84sn7kyMsbY9OnTWWFhISf/ly9f5qRx1TpkjHHKdeHCBbZu3TqmUCjYyZMn9WnkXIdi5gUpxs5ffvmFeXt7s3nz5rGjR4+yNWvWMDc3N7Zlyxab8k+CCg9Dhw5lZWVl+t+3bt1iERERbPny5U7MlXVcvHiRAWDffvut/tjIkSPZs88+K3jNpk2bmFKpZPX19fpja9euZX5+fuzmzZv2zK5ZlixZwvr37897rrGxkXl4eLBPP/1Uf+zYsWMMAKusrGSMybtsQjz77LMsMTGRdXR0MMZcu/6MJ4GOjg6m1WrZypUr9ccaGxuZWq1mH330EWOMsaNHjzIA7Oeff9an2bx5M1MoFOzcuXOMMcbeeustFhAQwClfeXk5S05OtnOJuPBNcsb89NNPDAA7ffq0/lhsbCx74403BK+RS/kY4y/j9OnT2cSJEwWv6Wl1OHHiRDZmzBjOMVeqQ+N5Qaqxc+HChSw1NZXzrClTprCCggKb8ktLP0a0trZi//79yMvL0x9TKpXIy8tDZWWlE3NmHU1NTQCAwMBAzvENGzYgODgYaWlpqKiowLVr1/TnKisrkZ6ejrCwMP2xgoICNDc348iRI47JuAlOnDiBiIgIJCQkoLi4GGfOnAEA7N+/H21tbZy669u3L2JiYvR1J/eyGdPa2ooPP/wQM2bM4OwO7sr1Z0hdXR3q6+s5dabRaJCVlcWpM39/fwwePFifJi8vD0qlEnv37tWnyc3NhUql0qcpKChATU0Nrly54qDSiKOpqQkKhQL+/v6c4ytWrEBQUBAGDhyIlStXclTqrlC+Xbt2ITQ0FMnJyZg7dy4uXbqkP9eT6rChoQH/+te/MHPmzG7nXKUOjecFqcbOyspKzj10aWydO11+92Sp+f3333Hr1i1OZQBAWFgYjh8/7qRcWUdHRweee+453HXXXUhLS9MfnzZtGmJjYxEREYFDhw6hvLwcNTU1+OyzzwAA9fX1vOXXnXMmWVlZeP/995GcnIwLFy5g2bJlyMnJQXV1Nerr66FSqbpNAGFhYfp8y7lsfHzxxRdobGxESUmJ/pgr158xuvzw5dewzkJDQznn3d3dERgYyEkTHx/f7R66cwEBAXbJv6XcuHED5eXlePjhhzm70D7zzDMYNGgQAgMD8cMPP6CiogIXLlzAqlWrAMi/fIWFhZg0aRLi4+Nx8uRJvPjiiygqKkJlZSXc3Nx6VB1+8MEH8PX1xaRJkzjHXaUO+eYFqcZOoTTNzc24fv06vLy8rMozCSo9mLKyMlRXV2PPnj2c47Nnz9b/n56ejvDwcIwdOxYnT55EYmKio7NpEUVFRfr/MzIykJWVhdjYWHzyySdWdwI5895776GoqAgRERH6Y65cf3cybW1teOihh8AYw9q1aznn5s2bp/8/IyMDKpUKTzzxBJYvX+4Se8hMnTpV/396ejoyMjKQmJiIXbt2YezYsU7MmfSsW7cOxcXF8PT05Bx3lToUmhfkDC39GBEcHAw3N7du1s4NDQ3QarVOypXlPPXUU/jqq6+wc+dOREVFmUyblZUFAKitrQUAaLVa3vLrzskJf39/9OnTB7W1tdBqtWhtbUVjYyMnjWHduVLZTp8+jW3btmHWrFkm07ly/enyY6q/abVaXLx4kXO+vb0dly9fdpl61Qkpp0+fxtatWznaFD6ysrLQ3t6OU6dOAZB/+YxJSEhAcHAwp026eh0CwO7du1FTU2O2TwLyrEOheUGqsVMojZ+fn00fkiSoGKFSqZCZmYnt27frj3V0dGD79u3Izs52Ys7EwRjDU089hc8//xw7duzopmrko6qqCgAQHh4OAMjOzsbhw4c5A4tucO3Xr59d8m0tV69excmTJxEeHo7MzEx4eHhw6q6mpgZnzpzR150rlW39+vUIDQ3F+PHjTaZz5fqLj4+HVqvl1FlzczP27t3LqbPGxkbs379fn2bHjh3o6OjQC2nZ2dn47rvv0NbWpk+zdetWJCcnO33JQCeknDhxAtu2bUNQUJDZa6qqqqBUKvXLJXIuHx+//vorLl26xGmTrlyHOt577z1kZmaif//+ZtPKqQ7NzQtSjZ3Z2dmce+jS2Dx32mSK20PZuHEjU6vV7P3332dHjx5ls2fPZv7+/hxrZ7kyd+5cptFo2K5duzhucteuXWOMMVZbW8tefvlltm/fPlZXV8e+/PJLlpCQwHJzc/X30Lmh5efns6qqKrZlyxYWEhIiCxfe+fPns127drG6ujr2/fffs7y8PBYcHMwuXrzIGOt0sYuJiWE7duxg+/btY9nZ2Sw7O1t/vZzLZsitW7dYTEwMKy8v5xx3xfpraWlhBw4cYAcOHGAA2KpVq9iBAwf0Xi8rVqxg/v7+7Msvv2SHDh1iEydO5HVPHjhwINu7dy/bs2cP6927N8e1tbGxkYWFhbFHH32UVVdXs40bNzJvb2+HuH6aKl9rayubMGECi4qKYlVVVZw+qfOU+OGHH9gbb7zBqqqq2MmTJ9mHH37IQkJC2GOPPSaL8pkrY0tLC3v++edZZWUlq6urY9u2bWODBg1ivXv3Zjdu3NDfw1XrUEdTUxPz9vZma9eu7Xa93OvQ3LzAmDRjp849ecGCBezYsWPszTffJPdke7JmzRoWExPDVCoVGzp0KPvxxx+dnSVRAOD9W79+PWOMsTNnzrDc3FwWGBjI1Go1S0pKYgsWLODE4WCMsVOnTrGioiLm5eXFgoOD2fz581lbW5sTSsRlypQpLDw8nKlUKhYZGcmmTJnCamtr9eevX7/OnnzySRYQEMC8vb3Z/fffzy5cuMC5h1zLZsjXX3/NALCamhrOcVesv507d/K2yenTpzPGOl2U//SnP7GwsDCmVqvZ2LFju5X70qVL7OGHH2Y+Pj7Mz8+PPf7446ylpYWT5uDBg2zEiBFMrVazyMhItmLFCqeXr66uTrBP6uLi7N+/n2VlZTGNRsM8PT1ZSkoK+/Of/8yZ5J1ZPnNlvHbtGsvPz2chISHMw8ODxcbGstLS0m4fdq5ahzreeecd5uXlxRobG7tdL/c6NDcvMCbd2Llz5042YMAAplKpWEJCAucZ1qK4XQiCIAiCIAjZQTYqBEEQBEHIFhJUCIIgCIKQLSSoEARBEAQhW0hQIQiCIAhCtpCgQhAEQRCEbCFBhSAIgiAI2UKCCkEQBEEQsoUEFYIgCIIgZAsJKgRBEARByBYSVAiCIAiCkC0kqBAEQRAEIVv+B8WvGvaTaKZyAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def bad_cond_matrix(matSize, condNumb):\n", " \"\"\" A = bad_cond_matrix(matSize, condNumb)\n", "\n", " Returns a matrix of size matSize with condition number condNumb.\n", " Designed for educational purposes to test badly conditionned matrices.\n", " \n", " Parameters\n", " ----------\n", " matSize : tuple (int, int)\n", " matrix shape\n", " condNumb : float \n", " condition number\n", " \n", " Returns\n", " -------\n", " array : matrix with given condition number\n", " \"\"\"\n", " m, n = matSize\n", " A = np.random.randn(m, n)\n", " u, s, v = np.linalg.svd(A, full_matrices=False)\n", " newsmin = s.max()/condNumb\n", " news = (s - s.max()) / (s.max() - s.min())*(s.max() - newsmin) + s.max()\n", " A = u.dot(np.diag(news)).dot(v)\n", " return A\n", "\n", "m, n = 2000, 500\n", "condNum = 1e8\n", "A = bad_cond_matrix((m,n),condNum)\n", "\n", "# ### xtrue et observation non bruitee\n", "x0 = np.sin(2*np.pi*np.arange(n)/n*10)\n", "y0 = A.dot(x0)\n", "# ### ajout de bruit sur les observations\n", "Py = (y0**2).sum()/m\n", "snr_dB = +20\n", "sigma_e = np.sqrt(Py*np.exp(-snr_dB/10))\n", "e = sigma_e*np.random.randn(m)\n", "yn = y0 + e\n", "# ### tracé des observations\n", "Fig_Observ, Ax_Observ = plt.subplots(2, 1)\n", "Ax_Observ[0].plot(y0)\n", "Ax_Observ[0].set_title('Obervations (no noise)')\n", "Ax_Observ[1].plot(yn)\n", "Ax_Observ[1].set_title('Observations with noise')" ] }, { "cell_type": "markdown", "id": "ea7f1811", "metadata": {}, "source": [ "### Reconstruction et régularisation $\\ell_2$ (RIDGE)" ] }, { "cell_type": "markdown", "id": "b603e026", "metadata": {}, "source": [ "On définit\n", "$$\n", "\\hat{\\bx}_{\\ell_2} = \\Argmin_\\bx  \\|\\by-\\bA\\bx\\|_2\n", "$$\n", "\n", "Regarder ce que donne $\\hat{\\bx}_{\\ell_2}$ dans le cas avec et sans bruit; illustrer que, avec ce faible bruit, c'est une très mauvaise reconstruction de $\\bx_0$. On ré-écrira la fonction `approx_l2` correspondante." ] }, { "cell_type": "code", "execution_count": 4, "id": "d4195458", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No noise \t norm(x0 - xl20): 2 \t 1/n*norm()^2: 0.00802\n", "With noise \t norm(x0 - xl2): 2.12e+06 \t 1/n*norm()^2: 8.99e+09\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'xhatn')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def approx_l2(A, b):\n", " # A VOUS DE JOUER\n", " raise UserWarning('Reprogrammer cette fonction')\n", "\n", "xhat0 = approx_l2(A, y0)\n", "xhatn = approx_l2(A, yn)\n", "\n", "print('No noise \\t norm(x0 - xl20): {0:2.3g} \\t 1/n*norm()^2: {1:.3g}'\\\n", " .format(np.linalg.norm(x0-xhat0),1/n*np.linalg.norm(x0-xhat0)**2))\n", "print('With noise \\t norm(x0 - xl2): {0:2.3g} \\t 1/n*norm()^2: {1:.3g}'\\\n", " .format(np.linalg.norm(x0-xhatn),1/n*np.linalg.norm(x0-xhatn)**2))\n", "\n", "Fig_xhat, Ax_xhat = plt.subplots(3, 1)\n", "Ax_xhat[0].plot(x0)\n", "Ax_xhat[0].set_title('xtrue')\n", "Ax_xhat[1].plot(xhat0)\n", "Ax_xhat[1].set_title('xhat0')\n", "Ax_xhat[2].plot(xhatn)\n", "Ax_xhat[2].set_title('xhatn')" ] }, { "cell_type": "markdown", "id": "af5234ca", "metadata": {}, "source": [ "## Comparaison avec estimateur RIDGE\n", "\n", "Programmer la fonction `ridge(A, b, lamb)` qui renvoie $\\hat{\\bx}_{\\mathrm{ridge}}=\\Argmin_\\bx \\|\\by-\\bA\\bx\\|_2^2+\\lambda\\|\\bx\\|_2^2$. \n", "\n", "Calculer et comparer les estimées de $\\bx_0$ suivantes:\n", "- $\\hat{\\bx}_{\\ell_2}$ (fonction `approx_l2`),\n", "- $\\hat{\\bx}_{\\mathrm{ridge}}$ (fonction `ridge`)\n", "\n", "On pourra jouer sur le conditionnemnet de $\\bA$ et le niveau de bruit, ou même utiliser la sortie non bruitée $\\by_0$." ] }, { "cell_type": "code", "execution_count": 5, "id": "b18729ca", "metadata": {}, "outputs": [], "source": [ "def ridge(A, b, lamb):\n", " # A VOUS DE JOUER\n", " raise UserWarning('Reprogrammer cette fonction')" ] }, { "cell_type": "markdown", "id": "6e9a0f5f", "metadata": {}, "source": [ "Montrer que $\\hat{\\bx}_{\\mathrm{ridge}}$ peut, selon le choix de $\\lambda$, être préférable à $\\hat{\\bx}_{\\ell_2}$. " ] }, { "cell_type": "code", "execution_count": 6, "id": "c91aad9c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "With noise \t norm(x0 - xl2): 2.12e+06 \t 1/n*norm()^2: 8.99e+09\n", "With noise \t norm(x0 - xridge): 5.58 \t 1/n*norm()^2: 0.0622\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'xridge')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lamb = 40\n", "xridge = ridge(A, yn, lamb)\n", "\n", "print('With noise \\t norm(x0 - xl2): {0:2.3g} \\t 1/n*norm()^2: {1:.3g}'\\\n", " .format(np.linalg.norm(x0-xhatn),1/n*np.linalg.norm(x0-xhatn)**2))\n", "print('With noise \\t norm(x0 - xridge): {0:2.3g} \\t 1/n*norm()^2: {1:.3g}'\\\n", " .format(np.linalg.norm(x0-xridge),1/n*np.linalg.norm(x0-xridge)**2))\n", "\n", "Fig_xhat, Ax_xhat = plt.subplots(3, 1)\n", "Ax_xhat[0].plot(x0)\n", "Ax_xhat[0].set_title('xtrue')\n", "Ax_xhat[1].plot(xhatn)\n", "Ax_xhat[1].set_title('xhatn')\n", "Ax_xhat[2].plot(xridge)\n", "Ax_xhat[2].set_title('xridge')" ] }, { "cell_type": "code", "execution_count": null, "id": "1c025aa4", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,Rmd" }, "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }