{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ad8e788e-fef5-40c8-a9ea-f3210e24a409",
   "metadata": {},
   "source": [
    "# Copule et chaîne de Markov\n",
    "\n",
    "Dans cette feuille, on s'intéresse à la simulation de vecteurs aléatoires. \n",
    "\n",
    "- Dans la première partie on simule un vecteur $(\\tau_1, \\dots, \\tau_n)$ dont la dépendance entre les composantes est donnée par une fonction copule, on parle de dépendance spatiale. \n",
    "- Dans la deuxième partie, on simule un vecteur $(X_0, \\dots, X_n)$ dont la dépendance est temporelle, c'est à dire qu'on construit $X_{k+1}$ à partir de $X_k$ et d'un aléa indépendant. C'est un exemple de chaîne de Markov."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61091c92-5312-424e-ae72-038e28f9b48d",
   "metadata": {},
   "source": [
    "## Copule Gaussienne et instants de défaut"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20cf86cc-75a6-4d46-8691-1541a15d3615",
   "metadata": {},
   "source": [
    "On considère la modélisation suivante: soit $\\tau_1, \\dots, \\tau_n$ des variables aléatoires exponentielles de paramètre $\\lambda_i > 0$ qui représentent $n$ instants de défaut (instant de défaillance d'un composant en fiabilité, instant de défaut d'une entreprise en finance, instant de mutation en biologie, etc). On suppose que ces $n$ instants sont corrélés par la copule Gaussienne $C$ de matrice de covariance $\\Sigma_{i,i} = 1$ et $\\Sigma_{i,j} = \\rho \\in [0,1]$ pour $i \\neq j$. \n",
    "\n",
    "Dans un premier temps on s'intéresse à la simulation du vecteur $U = (U_1,\\dots,U_n)$ correspondant à la copule $C$ i.e. pour tout $i \\in \\{1,\\dots,n\\}, U_i \\sim \\mathcal{U}([0,1])$ et $C(u_1,\\dots,u_n) = \\mathbf{P}[U_1 \\le u_1,\\dots,U_n\\le u_n]$. On peut montrer que $U$ se représente sous la forme \n",
    "\n",
    "$$\n",
    "    \\forall i \\in \\{1,\\dots,n\\}, \\quad U_i = \\Phi\\bigl(\\sqrt{\\rho} G_0 + \\sqrt{1 - \\rho} G_i \\bigr),\n",
    "$$\n",
    "\n",
    "où $(G_0,G_1,\\dots, G_n)$ est un vecteur normal standard de $\\mathbf{R}^{n+1}$ et $\\Phi$ est la fonction de répartition gaussienne standard (fonction `norm` dans le module `scipy.stats`). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "36880c49-6287-4ab6-aee9-04942e01bcd4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set_theme() \n",
    "from numpy.random import default_rng\n",
    "rng = default_rng()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eac4c72d-349d-4a45-9fd6-8ec2b2991c86",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation de la copule gaussienne\n",
    "\n",
    "Ecrire une fonction qui prend 3 arguments: `size`, `n` et `rho` et qui renvoie un échantillon de taille `size` de réalisations $(U_1,\\dots,U_n)$ obtenues par la construction précédente.  \n",
    "Dans toute la suite `n` est la dimension de la copule qui sera par exemple 10, et non le nombre de réalisations considérées. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "8799f229-e90c-4537-820d-6540ffabe72a",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "def gaussian_copula(size, n , rho):\n",
    "    E = stats.norm()\n",
    "    sample = rng.standard_normal((n, size))\n",
    "    sample = np.sqrt(rho) * sample[0] + np.sqrt(1 - rho) * sample\n",
    "    return E.cdf(sample)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "854640e2-ea88-450d-bc2f-dc5c3e0ea194",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: représentation de la copule gaussienne \n",
    "\n",
    "Reproduire le tracé suivant à partir d'échantillons $\\big(U_1^{(j)}, U_2^{(j)}\\big)_{1 \\le j \\le M}$ de taille $M = 2000$ de réalisations de la copule gaussienne en dimension 2 et de corrélation $\\rho= 0.2$ puis $\\rho = 0.8$. Que remarquez-vous?  \n",
    "\n",
    "Compléter ce tracé en vérifiant graphiquement que la loi empirique de chaque composante $\\big(U_i^{(j)}\\big)_{1 \\le j \\le M}$ pour $i=1,2$ est proche de la loi uniforme sur $[0,1]$. Vous pouvez augmenter la taille de $M$.\n",
    "\n",
    "![](img/copula.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "b83ef8fc-354b-4183-bb14-a3038d6271b5",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "data": {
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OnGzwYdCWIa4oZA8oFbIAURZwZs3KTXkASiQUB0PoD9pLQFcjBBgoDYaPSLOVsNCJ0sANoeREzM1CWQNxLCKSbHrw58bPKOskf7bSs0wK7xJlpBGB50hEhwIACyBz0k5oOKBsRYbAMX4ulFQpxVGZOHHihBbmlZxjNdLKGNE406o/AcND9Etmw2FMrQwC18j74w/lLq4XjBklRbIIrMlWkTy6gYFiwyYiZ+0B1yJ7wronO3A5yjLXNS+tNesaayIZmTfrGtdHOY9nTUncxbNW6CnYOByMv/mbv1GJFX3iZ8nnRKBMloSMDw1pXpZGzzgn65fzttI1zoETQQk0qWvgHCmHr5Rl61S6utbVta6umVAVxvFmjYLjZW/s7mtdXbuRdO1qpRrXQPNz8UbhpK61Ew+SeV+sExz25DpjzRLgtksS87zYv3gGSSEQSR5nTRsuwYuRzkfBWpVtuCAWpQu4IAwQL9WNBA+PYQZJ48RLxXAkJemc+41SVkCIOlg4LDAccQRj5TAUDA6lAYD+XC+4rGbh+ESpKJobKBSPrH2nZbV2wuJGATBAlCmbhcXLCwS/x0IHV0g2gefVnF1BwZMYMwxf8tnTBMs9EoV28iybhVIZC5kSEs/DNxkva7V7Fh6RU2lg0bU6LpE2zQtXeo7VCGvEM0f+b47vzyUpPCMMKdfFBut/iP6pmHg3OZhEMF0Ixg5IE+uODEO7YRIeAfNewIY5vy4ZBdYDm+hKDUv+bFzXvKzZLF62XknXEO9G92cM9INzUHJ2B8OzZGwi3rhFJg7jhK7hLCPOPISuEQRzP5TY2ukaWD8yC5QrXdc4P8+AcmtX17q61tW1tdE11ikNazwv1gEV4e6+1tW1G03X1ko+3NTcSFCLs5zUtXZ/0DXv8UOSfQ6sQe6He20nfJ5gOxkAEAjyPW+MXvPMNwaDEgUn5oURTfMzlAQFI9ogAiEaRFy5aFpg46WEROnZu0W5YBYML43sGH/YlFHsZJmPhwq4n/Ifi4Bz0pQAfY1HHywCGhpgWwGLw0Li80RmlO+ahWsj+0AGnBdGtMP5efhrkZHDSGFUMdDQA1G2YQHyM0oeZBGcoJ1nibITPNBwAe6JZ0BZiGxMcmABxhtjjMLzd0qfGGV/6TxLvksjDRkdlALC+HZCIwXvgMgXo8MfonaPHNs9C8q1GHiumXeL8oIr4/NEz7xnsgdkP670HKsV1iWbFQaF7BLry9kFmoVNjk2XdwAGkQ2W4I4SGpsbwubBzzDIQJzYxCi9YXhWinB51+ACKUd7Gc57FjDcrvSthHeNDrHREOR6QxSVHErhrmvvfe97tVa9JNqsa5QBkxkBMnv0WrjBoNt9NbrG33lG3D8ZK9Yr75HsG++Sz5MtSG5Y/JtnxTPlWsnWce18j6EmXV3r6lpX19ZG13Cs6KXgebHuWS80VHJvrMmurnV17UbQNZzmq6XoQ2CWQX/QRd6Lr7PVDHdCh2CuYU2hS/iKPAd8R/dhEfDsZMe9R4Lf4YAzrRlGHof68L7Ri2s24RJnlwePQWGREdmC0QHUDwaNqMoZUXgxAPK5IS6Wl83PMB48KCJXXig3wM2xsMgWUL6gCzi5wDB0dHCzaChbsRBx/lEEhPPyXRYCL4IXQ3TIho8xaxbOSVmLxhlw6hhbAPOUTXDCeQFXM6WLc+Lc0yxDd647GzwnlIAGB8cKUg7CcJF5gRGC6JPoLNkJ7UK2n+tCGfk+i4dSmAsGg8VCYMKzQNFoAqAM2UrIjnCdQIF4lpRkUA66d1lcGLnm5gYX3hPUQLw3DBDvkKiT6BuMouMar+YcqxGMJlRZXAeYNNZouylVNEhw3axFNgbeFxsha9WVjGvlftgsWCPcB9fZPNWqWVjTrCOuwfF6rHt+xn9XwvmxYWGgfMPCyNAYwzNiU3ddYyMDXuWZsmZd87XFBsk7wijQM8E9sbmtVtfYhPg8RgbjzzVwLQS8rmsYIT5Hl78Lz5fjs/5pWOIZkOGjPN7Vta6udXVtbXTNpwfS5IjwPlx4lji7XV3r6tqNomtf3KJfYbUBCWuQ+wRmwrUnHeZOBf1j3bmu+bNKPl/eMevOdY1gjHdMgEgvIuuf9ci6Rg86lRSTdlZ9xV15UQQFITqFL7QrS0JJDSVMOn0bXaD5wkBRJuyUGqwrS9LVtdbS1bVLpatrVyddXWstXV27uXVtbYE4XelKV7rSla50pStd6UpX2krX+e5KV7rSla50pStd6UpXrpN0YSdd6UpXutKVrnSlK13pynWSbua7K13pSle60pWudKUrXblO0nW+u9KVrnSlK13pSle60pXrJF3nuytd6UpXutKVrnSlK125TtJ1vrvSla50pStd6UpXutKV6ySrHrKzXoW+0lqtfW9pOp1a8fdd6Vy6z/L6PEt+x4CDG026unb9pPssN66uXU7PkO76WDvpPsvr8xzTN6CuXQvZMM43L3t8fK7l77LZdBgd7Q/T0/OhUqld92u7maT7LK/fs9y0qT9kMjeekerq2vWR7rPc2Lq2kp4h3fWxdtJ9ltfvOW66AXXtWkgXdtKVrnSlK13pSle60pWuXCfpOt9d6UpXutKVrnSlK13pys3qfP/6r/96+Nqv/doVPzMxMRG++7u/O7zqVa8Kr371q8OP/diPhYWFhet2jV3pyrWWWr0eLk4uhJPnZ/Vf/r3W0tW19S3XY42sx2u5Fvd14vxsODc+f8X31dW1rnRlZanUauG54xPh44+f1n/590aW64r5/t3f/d3wi7/4i+GVr3zlip/7tm/7Nhml3/7t3w7T09PhB3/wB8P8/Hz4mZ/5mTW/JozthcmFMLVYDaXFUhjuz4f0dQL7c+7xqcWwWKqGnnwmbBruuW7nvhLZaNd7re739MW58JnnL4QzY3OhXKmFXDYddm7uD6+4c2vYtaU/3Ky61pXO1xzO4PMnJ8P0XKmjNXItdfNq16tf23yxEhaLldDTkw19+ewl19jJPazmPtncj5ycCjPz5TDYlwu37RnWZy9OLYRzY/NhbLoYzo7P6RlX6yEM9OXD5sFCeOD2LavSw66uXXtZb3vPjR5snhsn6KuH7Zv7wqahnjA5XVzTZ5vU+fliOTx9dDx8/Ikz0sUQUrIhe7f1hS969a3hgTu2hI0o18X5PnfuXPiRH/mR8KlPfSrs379/xc9+9rOfDQ899FD467/+63DgwAH97Md//MfDN37jN4bv+q7vCtu3b1+z6/JN5dzEfAipdAj1Wtg+2nfJptJK8ZGrMQYrbWg7Nvd1tFldS2m+58VyNTx68OI1dRhfjOttGIlSJSwuVkJPIRv6Ctlrdr+89797+ESYXSiH0cFCKOQyoViuhuPnZsL49GJ484N7Qk8uo/vo78uF4eG+m0LXutK5TTh8eiqcvjAXqrW61sierQMhn0s31shbX7l32Ro8dXEufPrpc9dEN1ut18VSJRw8OanrecMDu8M9+0fb2qXkPZHkKJWrOsbWkd5w267hxjV24uB3GgSg0x997Ez4yOOnw8TMohoT+exwfyEM9OXC+HQxTM8Vw0KxGrhsHPNdm/vD0EAhHD07Leek+Rm3kq6uXR+5HsmKjfIcP/ToKWWd5xYq+lkumwqFXDb0FDLSy75CJowM9oQ79oyEfdsGWgbIHrziRG8d7RE7SalUa/hBZ8fml+zYxbkwNrUYlpOb1EO5Wg3PnZgJJy88Hf7V2+/dkA74dXG+n3rqqZDL5cJf/uVfhl/+5V8Op06davvZhx9+OGzdurVhoBBKdFDPPPLII+GLv/iL1+SakpvK5uGeMDzUG6amFy7Z4Fopfn9vLlCdnJhelOPEor1l52B48M5tDcd5Jad8JQfsxPmZMDJQCOcnF1bcrK5lxqD5nivVWpiaLYW+nqzO3eww8qz8vsu1eijVUyFdr2kTux6ZCq73kefPh2NnZnRdKPpCsRz6e3Jh55b+UKvWFcg8f2IyjE0vhi9oerdHomPAd/O5jDbjUrkWegvZsLvN/V6J0eddcD7e+87NfYGdf2GxoudLxeXM+Hz4g/cfDEN9uVCp1kMhnwm37RkL994yGraP9K5bXevK5cVtwsx8KczOl9XtP9Cb1brFIUT30bGjZ2bChz57Krz1lXvCji394cS5mfDeh46HmblSy2DuStZqMiD9xJNn5aiODvbIFszOl8L4bFHXOLdYCecnFsKDd2+V7Ws+j9+TKotzJTnBBLalSs1sW6Wma7zvwJbw+OGLbQNS7gF536ePh/GZovR6sDcXSpVqePb4RDh1YTa8/XX7FaRwznd/4mj47MGL0qtsJhUK2YwCGY6nDHdPVjR9nB8pThXDxaliyB8f1z3M9+TDZw9e0PNeyWZ1de3ay+WSFVdqi282udw+z3P8i48ekf1gzQ3158P8YjlcxDGuBQX36BU+cq02GR557kLYs7X/kgD5w4+eCs8enwxzC+VQjbCR3kIubB4uhKG+fBjozYXJ2aJ+f3psPkzOlla87rnFSvi9v3suvPTAppBNb6wWxOvifL/5zW/Wn06EbMLOnTuX/Syfz4eRkZFw5syZq6a58YX66KGLevG7t0Jrkw6ZdEpONQv39MX58NjhiyGdSYX3f+akNppNQ6b4OG8szFKpGvp6szLuuu6JhXDo1HTYuakvzC2WZdjz2XTYsakvHNg9HIYHCjr26FBh2bmdz5JrYzE/cWQ8pMNsyOXSJOKlEDjgKAkO2cRsMXzhq/fJeRtLKBsBRPNGQUbskWfPy4n26yFj8ODd2+RUthK+k7xnnNFnjk6EiblSqIe6nh3Xyh+ccZ7V3z9+WhklIt5yFYVMSbFzGftcJ+dtFs5zufvz6/3Ljx8Np87PhhoPrB5U2uI6eHbT82z6tVCu1gPfZtMv5NLhDa/Yo/u8MLEgY4FjwOeLpWo4c5GoPsjY48hzD5m4djAoH3/ybPhHbz5wibG43DVzbqos/Hy+WJUxm10o6b3i2OCIk0V44I7NYdtoTyhVa+HwqWnd2xe8am9Hz+5G07VmQdeS/13t+74ZJWmP0Dkc2r6enAL9fK6u9YyzwQbJWkWfJ2YXtTEWKzVtdM22xHUTO7Zn+0DHzzJpMzgvyQC+efzcrBxY3g+2EjuGfpAFP3xqSpts0i4RNFiZGUiH8VGz4XONvXW7JxxgnKoPfOak3rnfAz8PFctIj00V5QgDDcG+chtnx+elp1wX9gms9h9+4GB466v2hUcPXghPvjAeqtVaYIlVq/UwW6kYJ3Ydy0RgXpE9aJZSJYSjZ+fCcH9Jtp6AgaTHjaxr7fRsJV1bL9K8T6/F+r5SuZbP8mpt3+X2eY6PDvG8sCns1XxuOkJA0qm6aP/QRU6LT+N7ZbFSDS+cnQ737t8UnjwyFk5dmAu4PH09mTA1W9VxSFSlU0E+ztNHJ+T/oH8zMbt+Obk4VQyHTk6El962NWwkueF4vsHEYZSapVAohGKxeMXHxamBXxLBWI/NFMOubQPa5Fzy+awUvb8/H46fnw3lWgjFSj0c2DvS2BSePTEpZxg8IXvE6FCvFtrkDAtoUgv2JbdtDgPptBy/h549Hz7x1Dlhq8hojwwW5Ew1n5tjHzkzI+Vmc0hn0opedd5QV+YZh5LMz989cirs2NQr542Fz6a8Z9tAeO3LdoW92wd1PDJiH3r0tK6HTCr3pnOcnQkzi5Xw5Z9/QJ9lU+QznJNM61NHJ5bdMwrJvW4bMYfx1MX5sH9nNuRyGQUrAwMVBQxkmLkGshLPvDCu683nUmHv9qHQ05MLp8bmw+xjZ8KXvf62xjW2E679E0+cVnNXu/tDuPY/+tDhcOTUdEin66G/N6/NtlQpKus1MVMMk3PFkMeYpDMqd+FAfOzJs2YYUvwc+5MKm0Z6AyYnlyuHybmSjCCOzYUp1mM2nLowIweATZ+yW6GQCV/wmv2N6zl2djq8/6Fj4eSFOV0XjgO/S17zxHwlLLKoUhVhevlcVu+7JOcFJxyjd+zsbBgc6NHaGhkkYzcbnjk+Ge49sFXreD3pWjsZGupd9fteS0mueyocOFn+bFf63bWQpD3i/lmPwJ98A87nawru2TQH+/KCSwwN9MhenLk4F+7ePxr6+gqXHHfntnS4OF0MlZAWnO5yzwCI24cfO6N1vnW0L9TDQtxI64nhGEFOLfq9dVNfyGYzYdfWQW3kn3z6nNY9GzTHOHZmWvdRrlQF+WBxE2SyYXNEbNnIUE84cWE2vOzA5lBLpVVNpGJG5YpzYfNOjc3KOcBeksU2m1QP9VpNDjUl82PnZsMffuCQkhalciXaa3MkcD5KFbsH/r+V452UqTkLOrL53GXX8Yupa53oWbOurSdpt093ur6vhaz1s7xa28f3XWe3jPQGcl8E4y8k9nkCVPbfVDoVBnpy2nNIIlqizIJSNKJaMSe6XAlhIVTD1HxZ7wBdevqFcZwU6Tt+yfwCjrsFyOyTs4uVCC+ph7liOZTLq2tc/vSzF8PrH1wZunWzyQ3nfPf09IRS6dJSBQaqr+/KFYyNBmJ35NyFWZVPB3uyYWGhJCOGU3T09JTKtxh2NqRjZ2fCgV1DYXHRFhob0dmLc3KG2axwwheL5ZDLZuTssUFQCnvq8AUpwTyZzBQOXVrHyA33hOePTYTzE/MhE+pySpU5rwdtKBf4ufBTVZVVOSbCeVCo8akFRa7PHh1XeWf/ziGVg/j9sy+Mh5PnZpQh5TN/+uEj4cipSUW2zy+WdSyuhYzB2QuzPJDw+S/fHT7z3PnwwulpZbrZErnm/TsGl+55rqTjo3hzCyVdA3/IDPX3ZkOxXNOzGurN6pgHj01ICYulcpieC8JXUmommp+ZLYYPfvqYSsTtInuieMronnkf7MnLoef+TpydDq++Z3ujinBqbC585LMnlTHgnsGxCSYTy2GoP8nwxRpObUXPltNyj9z3S2/bpKCJDZ13x32CEcVZKJer+jfrBHwb3+Wdc88zc+Xw/LHJMDnznLJ9vM8//8gLKs9j2LiW6dlsuDix0LjmYsSQHzszJeeJ9Uiww7VzHsfE8Z+TF2bDQqkS7r99S9i6qV/P9vCJiXDo2NiyTBwbwdVkYq6HrjUL18t1T08vKGhd6X2znnm+nVZL1iJThKy2WnS1gj2amSvKJrCJVSrVsLBY1qaJyCZVqqEnV5AjnGITTIcw3JcLL1CpuTArW9Y8Fa5eq4c51u+FmZBP1Vd8BrlMSpleAtADu4d0PU8dvhhKiU2UwJVLQpvIbF8Yn5c9mZpdFObzk09MyAka7M/JRqA7HFPJielFBRXop2egXRfRvcMnprTmcSJwmnFCEOwWQT+Kwfmn62YPSSTgQ9dLZNjMVrGGwLCWK3UF4+iis5eslsSEjPuZ81NhtC97w+raSnrWStfWmzTv082y0vpeTUa5k89di2d5tbaP6/7AQ8fC2MS8nGB8i6k5Ek91BcjYBfbkz7t/l/beUqmirDX6N79QkS3B2eZWXT+aB09azIry2S/K1Yr6UfgZFYh0JSV7BATs9IXZsFiphkoMdFcjzx0dDxMTc2uia+tFbjjne8eOHeHv/u7vlv0MozU5ORm2bbPN8UrFJyrl0qmQTafkNJKZocxL9qVYrMq5yrKYyilFd0SW+azhgHG6WGTAKTB87nATseIcs+jr4IuVVWXd10IdHS6bcgvvGDeYJ14YV2Od4w4VAKika136aINwiWUyuAY5AZZSLZE5qsvRe/bYhDJFt+wYUib88Onp8Dt/+5zO+8KZGX0fpUJJuQz+v1QphVw6HT751Fk53ROzJW30nJPNDYWcni2Fe2+tCzKDEeJnY/PFUItGx7NJQDbYGMmAZ9JpdVCTjcd5xRHIslHXLdtFBE1AwXfPj80rSm8WjknjGM4G5Wuuf2wKLLbhzp87PqMs99ZRqzYAD6FSAYyE66REpopEG9tI0MTneBY8d7INXGdPPhuKpYoy5WWV0KzawH9Voq7U9CzA4fJ3jM5wf05O+V999IiqAcABRgcKIZtN6V1hUGdTZcFMeE96f1VzPHg+ODusg1ZTdvkZQctzxybCltE+OfNk3OfmyzrHetK1dsKzwIlKvm93HgnsWM9nxubDw8+cC1s/55YrLiu3asT9wCMnGxjS0QHDkB49M63qBYrLumv+XbIJb7V9FJf7PI4q+qH1GHGQM/OVsHk4H9LptNmFuBkBTRoeyEkXCeKoLrFusT/N2UEy2QSN2Lvk+2jG0XKfgrNcnA+9hUw4M5YNJ8/PhNlFK0MrIowbNCYAvWaNAh3BJmFHOD8Z5S3DPboPfsf7zKRqyqRRTbMDmeOtf8VjIFSYcJb5HXrGM0AIfvgwn59NlLH9GEnh357h5jqBobmTv1rhKOcuzoc794yGG1nXOpm2iK6tx6mMyX2axEeztFvfq2nSXG0z55U+y2YbMDJUuGrbh02i3wG9YY8RjIQ93/WjXg8PP3s+9Pdk1UM2NVtUNZ7fsaciSce7leCcX7JHRQgXfsFMudz4/WK48jVWra/PNXpTOd9woP7cz/1cOHbsWLjlllv0M7rEkQcffHBNzsHmh4LRrENGiZIuzhiKzmaCIowM5sNisSplgY5qoG9EGx8KigLiyLK4z8F5WwOzu7RCp+MmwX5JVpwsKpkigxaYA8bix5EHN6yNqGJO2WJcfxdnFkN/qWoOcc0iVBY73zXMVU7XcmFyUb/fvqlPyiX4SC5jGEcChHg8Mla4lGxKpXo1LMxVw8zClBxxoMtkf1UyqkINVAnPHJtQVosMO8fHUSLo4JyUZVHaKtdbIcOUEq7zrLJo1Xjv5uRWQ12Zf5oeqRxQ5qaRq5VgnDCCOAQ4rUfY1GNDIvEIzwBHn8wcUIzJeYvyazWcfZ6VfQZpthduZLgXro3qBlk5Gh05vhwJNTmmQ7VEYGXGi7tgPXDtZOPMWaiHY+dm9EyOnJkK9XoqbBku6D71rLOU52vh/ORig0i/tycr2NHFaQukWC+tbB7vguCBd4HBBDPL+mFTwGivN11bSZLvuzlry7/5OZsjn2sVrF1OmjdW1qnhHIMqWgj6wvsAmkUjEed9+Z1bGhsemz7Pnc0Q3KRwqKtgwbnc5s7vH37OKmXoK+sR5xMavAuTRTVdYhfQd+GcCTLLtfDciSl9HgecwBHnuRnGhlN+y47BBjsTwvU/8tx5lZ03DRZsjQvnmVYQi/1D77yZiiARnXFKXuyPdC4uXgUFZKMrZKNDeOH0lJTNdAzH+9JV3mrDx7HuyadjIIwNMd0j+GmlJx3l1hJBw5UIjaU3i66tR/F9mn4HdDBpI9qt72XNywul0JvPhlwhq3V/7Nz0JWQK16OZs5UNoP+B3oVtwB3jfbFMvQHfes9Wtn3so1w7ugyEC7vBsbU3s8dU6/I53vPJ46pq8zP3JVx/L5fEbwTfUdAlzsOxsANrJaP9l8KKbnZ50Z3varUaxsfHw+DgoEpz999/f3jFK14RvvM7vzP86I/+qHhQf/iHfzh8xVd8xZrRMbGx0hn/iafOavHiTBfARNes6YAFfOvgYJjJlCMtVUlRJtkZrLktXHOeyEy3M+4s7HoCUkBjg5zSenSCy/VQy/B9+/fS9eHY1sN83bLpBk9YilTVAMhxchldO84yGyZJImGISxUZm2QgCXKkIV5i4hpq5pTU6ubguQGiHIyDu2O0t7FBcx7Oyx9+hnJz72yclLD5PfdhyX6CGHvW+pO1jVT0iTGrlRSuFwcHh5h3AAMJDnA+y7nsfBgOnF/KdTgb1Ri96/m2KZstHT9x72m7bt4dGcTp2aKuDTwbF4/DTIBDJt0DF4IAAjSMDtlBnhOOB9fLtXFdBFoql8dnomuO5eGRXFYG0KsRrS5TWbr4F3waBVcTCyqv7ttutE/rTddavWeyvJSUgeWIzWeo9X0BuyjPGP/saqV5Y7XGvDllZfsS8CHpP/jh2PyH80fQTeDZHAjQWMj3nQLwcpt1J7SSOPJkje/cMxxeODMt2ElvPqMMMraH9YWgo1ybmrnnYeLJyDGnKZwM4JHTM1p/cPYafArHPRdefsfWZZmzZ46Oh4efO6+1RRM3usznRgfIslMZs0CUhioXfs49L73DpedMdVCQNTbltGWesUMEm+0Szu10FBsHPMwcBNvgr2Z/9wxgu/NdTsanF9a1rq13YQ0QpKIr7A2uxyutb2eUInHB3kg11hMuZIAJVgmit23qXcY8lWoTbF+O8eZy0s4GnDg3q0TUSH8h9BasAoRz7vbIk0j0nuF8t6rgwUREb4JzZ1NmV8IrOtme6JsvVcOmwXwopi2ZGLe1y4p0p8k5Fzb8ShVqBdl8lXvbepQX3fmm0/stb3lL+Kmf+qnwjne8Q0rwS7/0S5r+9XVf93VqSHnb294WfuAHfmDNzslCBldL5odsjxS0Sve8bUQoG0qA4uEs4nzzecqYbMr8DuFzl5uIllynYgqhtBozsEhz9IjSaYHX6yFdNwhDrWjOqjCMwl2m5YXjJPIbDAub9MhAXg4pCobD2kl+yBuQUpFxg2Ox2XLe0xdnw+TMojEWGOxSDjWZOBx7/k4zI9/nmTTuNWab6g1H15x3v3agPq2oAp8/PqlytzDR9Xoj04sxkdPPuat1OUCiFAxXJh7ocL0Xp0shk+EcIfTm66HOpu/XXjenY3bRbp6yGE0rPfWM3g/G3eA1PC8Ct1LYlOuRg4RBJPutZhY546WGgScz7uXxVtem16s6hTXE3bpj8JJNZr3oWvN7hr2AJiqwnFVvaI1Ums1SusKMfzOlI4HQifNT2rBZNwSnNNWi68DJejOw83hVqyR9TzrfCA3GvAv6DciaX26zbr6GVp//+JNn1LjIpszPYS9JbsA416w3fj87VxbDCQ4q60OBbC4dspmMcKHoPDaKZ8bzvCWumeZg4MOPntbapArDOkTPuQbuWQMx4nPwINED7PbP2oITPuR6xX8JYDqdFpm0VPTe+CpfiyGaV+MnkDXkHq5E715sXbtZhPVLUNvIHM8UZRNarW8EB5XEDVVg3j2BLPsZ1RSqSejOoZOpcMfu4WtadUNWsgH8m8z3qYtAHwcUeBP4cr0kdahmYbc+/cw5rT90u5n6lwCczP70XDlk05ZsK0XGrOb+cPQRqEsOSFscKnU5afeRa+B7h42A8X7Rne+f/umfXvbvPXv2hOeee27ZzzZv3hze+c53XvNyt/Cb0GeVaWbKquQPDMRhCLu3pLWxid82ZsTJmuEMFsuW2Vy9LJVsV/iIlXdxL6Mji4NH5I7SCPYSN0cUGkXDMaRk5VhKLxd3flX2PeAhLmImyJgDKQJBzhM3YzUg9gLZqIfKQtkSyl7Oqi8vWfF8M1xnOqUIl2e4nH/0BWWzcVZxHpyNYH7RhmBwvrR3afFzGrDWSDiTZwLm5diYM82AGwIzGq+AqMCKInhOHDKiJtQY+KjEXjUaNvD+GEbK9pgTLpvnQgd4HQe/kNWfSjURrCSenTXAGCyGv9++dyS8+eW7O+b5vtF0rTkDRAVhJ/SeNBcuVAShOHhiUs+VUmwnZeXVwFk4B5uxN08S/PHu1CydDnLAEdcjdAY2G9iJkvuXV0c2dbhZdwqpYW1vjpl/AgGHt6nRcLGiUvnUTEmOP2sMhzmfNf3h3gq5Wrh156Dug3N+7st2WkNiKiiQLVWrYaCQ08aLI6DhTT0wqdh1OEQKiItB1YyJpBUsqhX+k+tHT5IQE9OplW2PkgyJCpCw3p5hp/oUP/BiwkCBJHXqfN1IunazCft0J/MzHIqBrrCO4J2meok9VoVaMEzrlTh6dkb7G3ZntVW3Tns+VrIBfVSbBgvK6uODYJ/oibL93mCJ0M2C0X7Xx15QQyZVLa5LvV4KLvKyGcryx2q81Ac9FizWzmXVH3wWWIeYUULPmO3ZiCg5O9Az75+4Fs735JwlNDeSvOiZ7xdDUBpXPBYTTWxsZM4uAM1faaGsrC+ZmP07BqTQmwZ71cmPMoMX1ybelMFsl2/mPK3KOK0EZWCBk33j8zjbbJiD/XkpFPguy27XtfE5Td1csdroXl4LwbAQiSsjGKkVRcIvzGc9ZGEuUKbWsrTK1uKcx3uwxkULDDIMr+nNhXtuGW04UxjC93zqmKblESww3nlukemS5WUBASLjsuR/XzuRM1QQbSGGEYhPDQNcN5o1njnPWg5OvE9vCEtVYgDjWcMEFKZWWdoc4BNX6bCUYDmJjjc/1zlCCLu3DoR/8xX3hbm5xXXdjJLMAA315zToYWJqwYIaBVMVjR++78Bmwb9WKiuvRr/RZzLevrGxMrOLBsuSo10nu7lomTGw0xHGhK4DiaGxF+F9AAHBXoDJ7mSzTtqYdp+3d25wLG8o407FSDQ+LxvDcdQHgH7F4JfnxXEHNWcgo6w1GzN49r/6xDGtWwJE0fDlMmHXlj41ZQP3wYlR5ozMf2wgnpy1xkl+jg5nIiyrObfQatPl2niW9MssbeeXr7n5sdxecgwgW85sgkPyYkoqVhqvBPLUlbUX9KSTIAhII/pEggfHe3LGEiGqOKt0im5WwuOHx9Sjk9S9Tqpuq5km28oGsKqZgQEzV29PJlycIthfVNVauOxKXVnqfD6jPq4XTs8IYkmmnGtRj0e5KpiYqmCCo2WU2XfIJ6oj9GN0qrEbXKf1h1jiIaldnZK3uJ5SuV9r7ayv3+3timVDOt8sVjFIRMVDaeCJBbvIRkxJfAG+6hOTWmV8BqgFDrq4ugcKKj/TCEezA4Jj1vARkg0KyRMrajSHYyVRBjS9FBQU63UpGdEqRxTDSmxwKpYsU6VEEYwlkc1jLXBZKKttwPGavZkxsh6QxeyBaSQNRjotnCfXS5YBOwdW3XDxlMKtVPiKO7fJkJL1+8jjp+SUseljoMrVogzTSnKtt2TgJDgx4GcxntwyMBnemzLbRasuKBNO1i9rjDWWNTTqtObrTAZk9hmbvjnUbw2cSSeH8/MGafj9yjfcJiM8ZwxM61Y8A4TOgU0WZV0uE3pg9olwJ9YSGxvPZaWy8mr0m9IzDj8BJC+B58rfZ+ash4D3gs6juA6NQriW5wgIc2D70woEyMqLQ5rScIsSafNmnc8bRIyNlSDCMdDeVMV14bDClc3zSTaUke2C6cZZHshGZ9NZBQ3uFJLFx+HmooGF0egI84HzkaNjHF8Y8/NAWSpav/Bt4yzgsAN9MV5827jtezaKXTSniXXp+q9qW2I9i1IVh/kKo+J6k73xn60F5ATpDHzX+nswOK11k3NXrq1gqwlsWffOEGZNiLZ4WQvoDn/D7hCoYmNWauYUs9fkQnjm5FR4z8dfUI8F1apNm/qk9+16Ppr9DGw902phPvM9QwmclPU7UPElkTU8mFcD+MnzczGLT4P1ZBgcy6spmfNn+/Lit8eZ3jTYY9lv7AQ9UnF+RAUobawisUdTlXUY5JXKtWKszK0wLOpmlQ3pfDd3UTO44s59o+LPNsYOK1EDQTHWDlutOJVEoThP0A+SkaaMTcYM5xhRxqbJCU/HxcW+yDHa0WAmWQBymYyMPxCIfH9eVHfPHZ+0kcnZdOjNkyUyx5vTUU7i2GyE7oy3pAlahagpMWZcUWo26mWKG/8ObKOWrod0hG3gpGTh9NXnzRC89LbN4W2vvmVZlzk4Nhwxc47MEV1r5b6SzRenBwfIMoH+XizzT7YUnLtBwo3JhXcLLZvgP/H6l/kiserRyOJreEg1bB/qEy8yDppxLLMxGNXU215zi5zPm0GcyxyHk/+ODvXo2bI2gD1QUuUZAOn4glftU9bqcvR9HbEZieKR5sQlM2eNshageu9CJr5H6XSc4ohT/uyx8XDbriFtwnCu0xzZCfOCehieOy88O2taVau+vBx4nF6cZRx8SsY+SMsbynD4oe4jyKPBEsedtUhlqFKzKhRrsVIzB7mnAOtRNRw7C2yE7HFKAy4IfFm4uZplk+lD4ANgTBnigWiITcLx1s8imxJZwmQAz+329GTFDkV2bg2JDlQ9am5CvlKnOSmCfV3hdzn3ts19V93k3JXrK9gO+keo8oihyqdaAzlhiEw6FfoYhz7UYwFwJr1iMydTm0kQAV2DvpcAGPtPJYzvYGfISrdq0Ez6Gejt8ycm5T+wurku9JdkC3ss+8G+HcNhROxbdWHAsRE41Fw7CUEb1W57ML8D8w1WGruDjk9Wi42BWKrySZEJwkkyVDrW2bXQvdXKvm3XZ0jSjSTZjd5FzUbZFzNTgkekoY3rsciRcnV/ThkzoB4+9IbNua83ZWPpM+mQjo6EOWrWCCkS+nwmDPRkw8QMQzLqoVAwR81ZOpqlgdGK0SoOHY4pGzeKDAyBaBbHwDBf8XvKlsHUQHOJc9xe7TOKEAqwx2rgMBoQsgBe3rJnQROiZYlwpODztYAmFzYPMhWzoga1f/im2xXMJCEIwDs0EVLMI8Zy0Om1dXp/jjtfzePw7IAaxhJYOpdS1RgdeC7+Od6Tpu5FKA7vwYMp/+P/9o50noGy66kgozvQmxfVIUadKYG7ts6t2YS9F1NYDzw/Agzo8Jrxj6wxL6myeV5pg1OzfqPbNoq8ogoCz5ySLs444RPZYDK9wDxweq3XwnCRamhOp8Ib7t8V7tg32mDtuRzzApu1sxvAqEQ2n3NCZwozAd/hODRKbR3u1WbMvw2fXg5z48b4w+Zstscd05Sy8DZfgCx9VfdDoDi3aPz2QGJYT4JK8Z1Im8r3uAaCHJwGNnSr6phuNysTvQ+pFg7ypv5cGJuph2oqdl9HSa7rJLVfRGQ1kgHY1lbTJZsD7uTmfzWOwNXE8dzvgZ1D13xseVfWVtgnD+watjkLIgGoh1oFfUkpIOV9ogdDAwXpwKvu2S470aqZE0GXyT5T4aZCVIi6RQKO/Qr9o1G6VYOm2yF6SBi7Pj1fjJWrlBJl6CGJAPYL4DFHTk2FO/YMh/MTkByQqIBhy1a/GJkc5hgrbd4MjM0xmGfQVG6OT4AB5p1nMDVfXFWwXH8RHPD5DQjv2pDON0IG9r4DW8LfPXLCRskztILR8r25sH20V5k4G1Vs0TLOJJACyuJE1EBA+BxOEz+Hv5lykJWvUyGfy2oTJysO5AJH3hgA7PyeUTUWkOULXXCSstH64dShZBPTRTVWkal68sh4AzveaIKohbAgbHLnDRT6fsRw1RK4S6bVJbHIKXh+oxPFOXBYkvt1b8S0EX3jXGB8MH4YrNt3D4fX379bjncSgjAyWBBNmVMYrqYUJkz8KnR1NUbE6f7mi0bzyN/JOjpcyLHCZEzzXAdlzVxGFRBG2avUL2725e/YRnPb5DEf5ysGlTjBj+e+c0u/AhIaVMmSMPgJ3Pi+LX3rfkMEIkE2h3LqMqnbuh2OVHdrhbFFv7/4tbcoa8zmVKgSWKfVeLiPyZCnp/V+obKEYtKHZqFzQ4xCJ6BluivTEqMDdjnmBbJef/2JY8vYDcTXOzavjdlLy7aBG+MSmXicZRyCL/28/eHUubnw7k8etWqIMl3W+MwfYzfINPTFKEVTgsHRnwK+W8NuKgaB8j4Md45xzmcXuJZ52aOVNuTmX1HdciaSpDsqdiR3viNTE8+y0aTtjncmLduYbCxuDqC9L8Z1w34YM9gtPtvOZlxNxtsFnV4LjueuXF9xhxcIFsPpcLipIqMLrHn2px2b+huzE/ZtGwgP3LHlkgZKBF2mSqUBdCRcmF6sCjdsVdZzxX/PjM2GHZsHFDQTmDdX7TSZdb4oiKiJVaz9d97EOD5TCo8cvBBSkWWrEdAm9MD1DMEmIBPTC2HTcK/6aURSEEkDoBckSdeKa/+yz9HnTYTrI+fHDb67kWTDOt9sho8fvqgNjSZA1vFzxyekXGxOONiOn5QzLdgI/OD9mjrHEJgvetW+cM+to2Fyuhhmi+Vw/uJcOHFhTgNYjPy+KIdcpbDhHin3+MxiZC8xMnyc+2bhtGzKA305KTSYMZx+HH02cjZf/5xd31K0yobaYtJuW0mWex1D3tzZzDFpssQp9OYNTfqKQ23MgJBhM55rYb5jNvyVd29vbGI4HDx3DCP3hCNCBO9NIe0kudGScbbM6eVv8oo4fuO5qFT4OblOZT7TEfsejSJc0VA64sQt4Ky3MXK6hnghOCEFMhM9UMsNhYtTjKQ3nDvNf2S+cRYx+icvVsNvveup8Io7tlwx/vlGEJ7dA7dvCU8eGZNDOTxkOAMx9JSqhl8etA3vSmgF2zEPkHn+6rfcEd798aMaQU6TkmP5CZbYR9Fxn8jK96k+sIbZnBsvu0PmBWYBNLMbULXak0qFMdhKgI7E4Bys5mzFsmd8lCm7TLXEaaekDG4TsUy5BSj8nGfF54Gw4Ezv3DIY7t47FP70I0eknw4TM6fYHN5GxY5sWZzQt1rYiFXXSnKs3SngOVmVyNiARIEq6BTBqk2cxRbYYzQImuswujM1t5zvXw2oCmiX/6zl9axw/Z5IuKrqH9W4DZiNWy+ykt6jo29/3f7wB+8/GM4wcTljgfdAXzbs3QozUFZO8p5t/eHi9EI4dnZGybXb9gw3kkSuy1TJqFqBJS9F3myxokHKEBsu8RfY63HQP/zoKe3/BACeOacyJpalVGIuRZv9qSqVWPphQx/iBu+oVg22Y18i0RanSG8d7VNyAxtLxe2xw2NXpAMRQXtdM99FxuBuMNmQzncS+rBrc78cIoqwfeemtbkQLYJrxDFHuVjAlMTlLFdqYaDXWA/YKFFWMr2li7Vw+MyMuqit2cOiZcpKzi7ARsrGaxMxl9hDSBwvG4ITx79OTC2GvAZrVJVpxyHjOpyE3xuTGmVeqLri8J+krKqEFLNPHIsMHZu+Z2q5H10/IXFqyQgQsPBcyI7xvPjZ7s2Duk5nh8Dp/tCjp8LDz54Tu8Il17dSFi7xO/kWK1iU5KabdNo7fQYKOhKVAw9qnMFE/44HKxZrGnIiesoWFJL+fjyw0K/l8KVFuQhUgdH0GHgcEzaE0xfm9BnYOUb781onB09MqUlnrSauvRhyz/5RsZlQfgUGwn2xWbI+6PRnw2CQEJnpTqWT0dA44F/6ubdq7RFcwzKAAMUAakalguZp1nuj6SdiKgd6cqIc7JR5IcmyQjVM/RlMha3VGpMaG8Od6CEIVglBb/j8owcvhMcOWT+BsaEwyIrSNBSndk3ov4bhCEdf06j5oQHw5EC4ZnUCMl9LwaytYI564vxsg4FotSJ+/7Jt9goI0hZYiOUlYbwUrEd2ibu3DYeDp6ZjE3I91KtUGQy+48wyvtk3bEyLVFu9DT3hSnK1sDuee47SVlduOOlU79/y4J7w5x85or03l7U9HB3wno0nDo+Hjz5+RskT9qxto33hrQ/uVSbcdZnpmOxj+egpETRTEYc6lwQUFV7WCjpJ9Qp9gL0LqAl/17yQTX3h+NmZOHRuqWrbap+WPajBUkT2ewluos8nqtHYLX4x3JdTD9mO0T4FE9gIAnky8p4cExPRKqLt5L7lVfFrLelmYvINIBvS+W7Fv0lTFM6QNigWnxywuh4Qm4VPawTzycLev2OoUZ7CGLzv4RPh4ElGjdeVob4wRRnFRrpixNUMqQYKy6J6pzPS7HhrSEetLvhCLs80vXyYnCnKwTVmAvvupZy79VXzcgpWQTNlLBWzEZId9NIr2a3pOZuYaVF3vZF9E+E/EAsCk8iswOfIzPOMoTjD0OEU/PEHD4UXzs60ZTO56kxVy6FGS3/v9NDKKvblFCD4d3gmDN/xrJ8/ZjIhvRlYWpan7hsj7hPwksbxg0GY2CzcuNZKFWVOkg6JTRnMin5x83BB/16LiWsvlnDNb3hgtzYBstCF2MALvOL5E1ONRt2/+cQxYShxylfi0O10NLQgWzNF/QFnTbBNFYkA64nDY2FqrhwyC2WdTw214tdmQ62H29jII6Z/pWfuWTjOweZHoyd0ZioLx81P1KCi1KqHWsoyaKyF5ObqTaDCRldoRs00Bjg5vz6Xccv2AdmfxXIlPHZwLDz01LnINW/4NWBi1oNiaxYbxx+e98BATnCa1Xjgejdq+LTmVRpBwbrSACYcunpDrNeBjLbRFZoz09eTlzPCc+GZmJ7bBD4PiP3P5cThKujjtWbe5FmdH58Pt+4YvrYnusmkUw7sK5VO9Z7Pod/Q8+IEuz5OFA0q5mxh2Hrv3eA7f/ShQzoPFW4+h61CXwgwaY5kjXNvNufO+kK0N9bqCuyPFWe0Rlk77IkvvXXTkiN7GbaQZLLI9vel6mtyT0EI6NEH6IX50dmJ+TA1X1KlnQpaOgbcdszVbayci96cwb6skj6Lzpl7DaW/Bd3jzS4b747b8G/a4IsejVRHDGZgGSaWnpoYerLhwuSiPuf8w55FZ5Gy2HHgvZTM8au1irLHDQxXhGkkszleShKkQ6wL5qwnS8jgQlEolLydAic3JJWlokO9kvh4afEHL1aMqYT7LlfDzHxVWTeyVUbbZCVjvoNT3sjicSCPrMtgoGFYqGhy6NHz0+FDj5wKR07bBC+biLeEZWvgn5vI/lfCbbZgdFz5HiNOuxNRpjI6TQ02l8ibms0BtyEbab8A+07wwfPyJkvbaOymML5ymhLvGgrBu/aNKGuIk8dzJjPjQ0mW2FWCjDkQAfG6rsHEtRdb2BS/6DX7wtPHJsITBy9ow+S+ubdbtg8qiPnUM+fCx588G7aM9KhhKJnR8o2dtfWJp86GmYWSnOl20yb5PP99+NkLqhppuAxsBwQ1Pflw7/5N4bFDF7UuHcqFA6s+DTbe+ZIGQLXj8U1OZz12ZiZMzRV1btYEVSOEe7JM99J3qKq1qsRoqq3wmuicMS2ZfUipkRcmEzDfsDlw75S7vWyEA0GmHifDHXXSVjY0SiNTZSDEyb/KvRQ7YiO6LWAQfVqJYNuGTcG8RDRjkzdrege807PjC/rvgd0j4dhZy4Br8G58V6U0vMPLn83lBAyvcd5fW4eAo/P+u7K2GemrkU6mxjaPjqfZH4Pqg6tSqXp4+NmL0ss9W/tUhWxQFGbT4ezEQvizvz8cvuott4e+QkbzB1S1qjvc0hqeba+thxw0wFmSVBnZFQuWgSFWw5yYjcq6PhEzUCFdIWpEN53fPtWUoGsMYItdzExkRqgyUcHj/i9OLloWPhX3sTiBWcetr6xnXkl3Iaimb40EHEH+tZZCYeNRem5I57uZfzP5cxQIw8HvXNnc6KsBspAJr7xrqxSVMec4UBgbHFgaDNVYxHyp2GmHEuB8+4aXdATdiWSfRidx4pi0KWxXzQbmkGE6H51WnIdWpSok+fOBnowcVxo82+nb0ubP5KuaMgDcM+e04S/LGz6So6MzwpgZZrf5+Fwnx8NGcLw//dCRxqbrfmmyicQPYM6CPQubIllVyYvR7zZ0Y7kzXm9z783lO5L4guMkoveVIChASGyAUeJciWvEHHr5G7jEri2D+h2sLemiQUoEq1A6MOK843TM/p68KK58qiIGjvebnAZoe4FdIV/HgI5NLaipjnW53od+MDG2v68QPvXEGXNScaaqNTWXUtK1ya1UjGrSRRpPcdJfetsmBSng4dlU0Tk4q4f6CqokNE+PPHRqKhw+NaXeDRxS3hW/A95iDAVDwk3ffcuo9Ji/s16pMHE8ggHeVXNWLYn3xtn+8GOn5QTXqlVlyZwzG90Av99uWEyrnxrm2YLmvmym4fzxfKzvgE23qvsCv41t4lots1fV86JKRikcHeJacQbg+WZFwazCvTdzdXcq3JfRgcYhUzFwXijhcNuQLM4Pvhani3UO2wzrFvpMbCa2kPdBpcGqPavLwpMMuV4lahgourK2GemrkU6nxh45OXXJ59ANhCQZtH6qBMWECcJ1wwSkXoyFSvgff/m01jH64o6pzfKwIVQNStmYvGLd2/A1J2jIWoA8Nhd2b7Yp2QqE477ULA719MZ+/AZR+8bkTQOa2fiH/VXnLMFXXtR9UVlj7zFcuiWFsEH8vdXUWsRJAEgcbR0uhFTazj1Hj0ek273Wue9crLZvJNmQznczz7e7cT68guwOGy+lJ88asZkay0kpPH5kLDz83PnGpEMaMraO9jSam3DaOY6c2ERq16i4UiEFJ3ZUJs96GxWXDazB8XDaPeHGo0NqkyaX3wtZaStf2+84zt7tgw3slxyals6pKbrhu2ywhoZrVOrKunFxjstN2jkrzeOkZ9pmk/3zzu3MuZKecys4hu7VE84xA0iWTwwN82U5Nj5ZS0YlDkUBfo5jnwwUHGrDf2mgo2RYCktO60qGROXIFp+A9QKjy/MApuOTAUMwjDYNl/zOnBIzoARqepaaamZTCclSOFUdjox3rDcCCV33UhYcGZsphq3CLa7/oR9AkP7io0fVsCyoV09OAcaFicVQrdfCtpEe6QH0nOXKjBw1aDSfOTYhBxm4BcOnjMe3JOcch57f+SAb1jxsJvyDRid0AT2k2kDTFZy3Z8bntWnCwsI7+7z7doUnXxgPvYV5wTrYgDxbRmB6fmoh/NXHj4pRQGXoSk1NTfy9r5C1c2ut43BbsExWlzVo6791Fcrp+bSZihPfSuQTs0w1BeKV0Z9KFcia8SRwP42pdeWqHFqvYLH5g//mmXJvxtjDGHt6WLKiL72aEdF8TVWCRC+D0WqmwvbRHmXl6VEBTvSmB3eHbMrsoCa6lqtikOCdWY+I9b2sSmIVEEfjWss6RHe9KNJpRvpqIXOdTI2FgcjtaqvPeRZbfQZRCQi4Wa9JnQC+IedXU4fNrqiPi6q2+qHg06819iOcXx+cw/2TSMN3wD7AtmJUvUZrCiyk3gJqwr4v4oKs9VvZ4C4+Yz6Izhdhjz7HQ/auXJVuJYPqdI0qOrX4qGMteiUMXsJE4VqADwb+/z1b+nUfQOhIVBTLDl0J11QySulvLMludJ5vpwbKkwFXhEu5pxb2bhvQho5MzxWVmcOZRQE1an6oVw4UuEeOw2bJAkLZoItzXCRZYM/44rTZ4By4nPOGjZ4pqikzA04Snuxk1lnZYis9ayBIC7wJGzQsHBy3N2+NFXzutp1DMgQ4CMnRrRZhx6lX0WlXiYvMPw0iVcNka9NOw2Uem00TjoKgpc1A9RhBayhRKuJU4zh2nBAZpvi5y+mxMNQhJWwu1I+cl8BHTC6JI9i49yU8HJ8VXRwDfipV+ftynshqVnh3l18bDhly+IfOEy9YmY90NIJx07HJnGSkrRTutJF6FmK0MYccR4nrwHH0jCBTyfz6PTOhoEEZf3vvKvlX61onsPKs56EfON7/7wMH1WSq8efKoBpMgYCD+56FzrOQU9aXeyezm0kbvIF3evrirAJnniub8WKJgNgmUPogGyAO/A6sfCGX1d+twlATZIzJcAR0/MxoQSOF36I1R+E8nhmbbvCwc27LPte0JgnMaZjl9/7znPc/qNkwJb1UtaqQNWexzHRUW4DNFRtr8jU4CJ9LUoNVqYClDeLl36PXgK3Kz+OMSeieYFEEzRlrapT+lY2mcNdIn/DXV5LHSvZkJHm8uQbLcjKFb0pQE8H1yrXw/odPhTe9fHfYtbVfWUtO+9qX7lDFgAwlz3+112CMKtceg4oQcF0O79+VzjPSrSBzq8GIt6tYu7idxWa0+xxrVcFnzDSz31KxdliHJ4YaWWKx3lTCttHe0NuTF/e2OeL1MDa9oM9hf9JxX4dhiOCbvZ0+CY5H8yU2Z37RdDFJ1rWcEMBY1Wi25znNxwQCSQqOzbUTeHM+9A7H2KvXSay4H1CUn21mfvi9qiodfRN8IXwc7bs9WVVmNcNDm93a9GS1k+EB87U2kmxI57uZs5csHI0LrNSX7B8VPygKiUHA6Tt6xjZzLwujJPye7xHhstHhkDF8gs+cvDAfsjmrVXnnsIZNwaiiaXdWKk6yIuTy9m+j3jMFVVQdGz8NmrAcOoHDQLaQyJrFy3dm5hi2k5NjcOfeESkgjp47hUvlsyXqL4wF99ffm7cJf3HgDYpn7Cp2zmS2upUiiqJPjCim9Ig/t070VpG4xgNbuY+yHfeIE4sRxfAg7vcrexEz5hg6PjsxUwmlmH3AGVF3ejatDDiB0SV8wX7t/u+E4+3UZx6TK9OAkxghtPzej6nplnH2iP9OGHoqE+l02DRQCNtGzWF7yyv3KPB59vhk+MMPHly2ttTUGa/Ih/3gTGGQvc9gPQqbL5R/wEZY/1RP0Afejxp1aS4m20N2K2KkuWfE+bfZFAjizo3PRccbmkJ7Hjw7w1zPKQBlDZFVdwpBzmOsQ0UdFz0T1nuxIp5upjfyb94nvP+aXovTHDO0TonJ5sh3ZhZmVCXxChd/nMLPG50cYqUqU1qh7iUBnQVqNnFTELemybSsdWWI43NUzwj9FxxjoSKnnUVCsIaOeLCQrqUEM2ETJRvJ95lLwARf4DtQh3Yq7Sg7FRAoaEDfrfI2V6yIgQG94Vx/8dEjgkyx7h0HvGuLcSLT7Loa8UEiycbkaynTs+V13WNxvaTTjHQzZG41GHE1NQYyx5a4oDrleO3mKbNQBj5/cqrlNFp6boA4GAwEGApDpxINjfFzoCB8nyGJNDVbDn29+UY2m3vxnioSL/09RkLAdbIHcl5VwerG0U//lOPFlwXd3nfVZw42tk97VyqE3VthWkqpssc1882nXhiPdKk2Kl6sJ14Brl9Kb5t09J1cgT0Wx3p2saoMf2MPzZqtwf+ZnLVA3pNRDm27FpJO4Y/Z1N2NJBvW+U5y9ooGkKh2saQhFX//2Gk5RigvmwaL2ungNPmSbJcgINbQxMZvbAPuNhktlwtKjuNgCmlUW9asaI4hDjkb1JbhXn2GMtjzJydjk2ZdCinS+yQOmXJTTOWqJD1tDgsZ91fcuUWlN8tGmMMHbANTpR7oaCAQ68C2ZkuUkk18OJcP49WSlcvdge7geS6b6Bh/hhPumLLLCfdYbozctSziscVZNZpxpc4CowyYjw2OWWj+8B5VcmOCIFMMBQdZ2hi8/I9jpqaVmn1XxrfxrszouAjjHjPTmmBZ5107ft24jI233aAw+rzoUawZs1Kqh0yqFqbTKUEhMKwnz89pg7mlTHYkHeZrhivUMVLucC09F4KKV9+7xJe+XsvSYjmJ/PVAOthAeBf0JsB/jattgWZNrBk07qoSlNAz9APcJs+4B055ce8aRpzPCN6Tz0jfeP5sNjj7OPhgIz0LjqDjYLsJati4z0/Ma5iVMtk0LEfn2Z1wKkycb2t/PpybXJCOV2OFpRXsCQEekanyfWNI4LrJxovnPkKOGmwEkVHJi9LOfNiuR0vLNA6CSsX1DJc5TEvAP77y82+zJsxyNXzgkZMaAkVlgPewGqJvBZRNpWf/d5UBQEvtDWoSJoDyYFkThHty4e5bRuTwT8yWVAGZmF79UA2vuHU6QOxqBSd/vfdYXA9ZKSMtu6xBL8Yi5JWE1WDEk046XPM0FpL8QndHh3rC9GxRsA/W9v23b1HfTrKy3TyNlu+ROGOSJDZI15nYs7xCzbRbX2tMluZ4goRWLdjMU9mMjYxkugs1SxTRPDgQ4SVUfbFxfT2WaMtkYk8LNi1y+bEn4Hzyc3RTzB+plJJh07MlQWJ4Fhyrop6SJfjpSqQK+nnid4KqQK0KlFM20IJ2JoBqv1Kjtu1hkAl4mGAQumunB5uGCut2b7sa2dDON6Img5FejfF+8uB5bVKWNR4WNhGlQpl9s1EjRK0WFmImmixbXyYbqk3dwo3jx8XLcTBMGAg2pUqRUnot7N7aH15193Y17LEhWUc2WCxKTJENIDqxzeIKmMxMscE/c3Q8fPHr9ofPuXd7mC9Vwvs+fUIcx5yPqXiVWO31rD0bNAqAUjLC/tDJKV0D9yosWQfPUdfgTCWJyrBPeCRDyL21MxR8BYdTVYDM0rH4eKmMw0wGGUfYnCmMnLGnlOUcl2JzCoGMj3wn14jhk9Ndr4f9Owdl0M5cZPpZsZGp5tfKjiobGoOSRILZuIv9ejyrb0N3cMDoigdny/dpImtusuPjvH+923QqfPSx02LzePzQmMqsbABs9DKCTcKzAPP3yafOhe2jfevSSHlZehM495h15R3ikPIOxYUfHR3em6ZM9lkZ0vUuE/njKfPynaF8PhTr6JEFwTx3sYTECgjQHjY7/p0UrQ0FYJno3NZVan3s0AXLuldrcuppMyotWr+CsRpF3Y/MKN5sLAc9nsKvNfn6WbvlSmmJ1Qg6vp6MMk/ApIyWdEHMQD46WpfcCOiXFF+naaE/fI9Nk1kAPB/u3RhdclpfPP+X3bZZAT3NZO2aQJvFIWr+3JLZ9+Sk12bhHfIOrLnN7NlzxyeNLlXOy6W9K51Iooe5kTW8ln44NmG991hcC1rA5u/BzZ/sofJMMwkgYGIwhAF7gmufjDQ82o8evNgRRpxKWdJJB/JFkzWDbNifvXcJ551gneNyD5ebRovO/9Unjop/G2k43jToR6YRb372e8Z2qUplJVDrsWAPolpM30UmHTZH6A02XQ52xmA3ZNg1DTkDGULdYJtyvG2zpKm+t5ALw3008fc3ghEFLZAuTC7IngFda0enezlBX+vlWjg/uahrI/GThKlwLqdUNvrEpedyLYFee7cObMjq0oZ3vl1QoEeePd8wCGRMcVZZoK4Ijuk0scXJYiX72W5DA+vlfNhsRvu298vZJ1IHC7plpGCDeYjAUeiebJiv1LRJesPW5Xi7DaNm9GgYDPjGf/dvnwtf+Op9drzFisa8I4z4JgNBNor78gl1ZAPIHGuzhaJMY9/Ly/DiK8E1cHIMYrOEP3PByc3nLOvXysFMHmcZrCQdnfaYJegvMNwjHYYG84JxkBFR5o0NPqYebeqXOS4G57Cfg8fflknLsfLGtlTKaOWMX9l4iv1evCKwhKWzxldYl8hOkxmg50tlR8rg86UIdYmMFYnKgkFSyCxU5fCxafzanz8p52v/DmPVeP74hMrwyedAcLRtU586znlvTE/7qrfcse6gJ16W3jTaq6w3a5vNmKoM2G5vUhXmMeKvrc+hpowLmWyfPKf3FLnk+YYoQHuzYaAAzV41zJfqqpwQTOK4CtvNOqhZKZjNkqE6B3YOCrfNRv/+R05IT/duHwgzRydFLclq5jmzBpwFiLXI++H6nVFHTmQCt897buaXTzZWs5bPTeCMZMMtNI8OFnRNMwsE+Xb/ZOYNjracVjS5Nvz81s8d+wPixdy6c0jHYGbBJ58+JwdIUzPr9jw3DeMMEOiv/N5i5fqS8e7Ksq+wG5M1xMn2zBl9MdgWHx+72umarcQqTWswTWcFQT/Xc4/FtaAFbPc9htokM83snYdOGb87TuqBXcNKhOCgC+8Pjnqkd0WMOFMmWzVybh3pUTLm8cPjgdDorr0jqhyjR545f/ODe9TDxGCvO/cMC1bWl882AgyreveG//ueZ8UGZM5yTLTEiDIZ6NmeZBlrdBcO+x2jveoFY00LP66+Dqp5sKZZI3lvJhdGB8zOGFtVAkIWmFSb1h6Acw1EDBYmv0/s1c5NfeHM+JwqcQTsUCKKQOAKoVc6t3qJ4qCvutmORtKA+79OPRUuk6uEn90s0nW+o9BEmWwaQXE866QoEcaBohH1wz6Q3FjpLG4nog3rAYtJprsejpyaDnfuG1XGm03xySPjcXKkORbAXoypI06ia9rInWWgeXIjPwP3LdjKbCkcOzcbfudvn1M2gFKwU7rhoLDJE0GzuaPwOI9sjnyXMhfDSIT1jqPmWwmOtLICST1tipbjj4wthqz3Cs+pnboLGx9SMtY4yltHCqFYrIaJeikykKQ0BMAh8eBwHWNLptLw3lndK4EUmRGMNIEHRtgpkJ09xTL4yzu8HSfP99NxQEqarAH3qxKk8bryb5tYuLwBJulAYdcrOInjC9yVhjHctns4PHDn1vDQ0+e07nDyrMJihp5AiEw92UOad7aNXDp1cT2UpXnubHqsTdHhwQc9VNCaJ5u0a3OfKi8M3WENozfDg4Wwty+nzDDfEVtBjYBL5AEhm80oe1zIZ+WEL16oaL3zHjkeTESTc6W4gdbFXHLv/tFGZp3nSxbt7n2jgmyRkXc8uNN+iYEgb/Rb3kxMlisvWk3LRDnOfxnGMsHCowpLHEvNeuEY9JKUqwNh345B6SM2yDNpDmFqJR7QiXKvbk1kVK0U3DpUrVoLn372vIIbw6RXbADHgkGd0HEycaLElN4scY8LNeWQNG3GJoWcNXiu5Dw7CwPOgeBtJCYcviOzmVYweTXsCTYRMwZH4dqIrvcmnbp3pbSAl/vefQe2CFLEPsrPsIlQTOKc0wzttuDwqWn1XsCssRJGHJ1v1cjJ0uF3OKTYFefR7iW5wvFPT4f/+7fPhR5NKKVXJCtYB4FFMnGBA71726C4vRciq2QrnVNFKvb0+PreMlwIW0Z7NQ17KpIswMq0b/ugaE2xIUBjtgznQ6lqe23S6fb7UMUzMiPxjJaqBiU57Dxr7CP/JfEEp/7V9Dy4PSJAVgUq2rgXU86MzYbzk/Nhx+j6q+pejXSd7ygscMpkZFhZ6GDCyD6xibHYUXRnCcHBaxZTmuU7ijVRkVnNiL+7Xq9q4tbr798ZPvLo6fDCmZll3fRWdrfvAksm5dRsDFo55Hzbs97Q35Fd45BARshAMZmuNG9OtybsxU2FKB0l59pxQIyHF4oly7oSaXsTWfN9IVa2Xz5IxspyjNC1Tdo3c29KdLaUy4l91MbWk8HgvQhDzb0og1BscA3jTJBVDg3oCvdfVWMd2RXeIe06KLiy5DGTXaDxRtyo4HtblBOa/qkMdxTH6zrNmmPonbiyE9+Cz+AMEYBhsBWoxY3Ese3OacwGMjVfDufG5ted852k9iToJPh84dSk9I1MEBsPpUey+mz6zxydUJafjR3qQYbMjAzUwtnxOcNb4hBCj4VO1mtiSPEOZd4jju0zxyf1zFjTHsywMd+xxwccGQwIJ5F3pz4B8WTDYFSUMws+GV3nDdCwy89ZcIbRtuOyHrNxM5MWAGVK2RRYQaPKFgziqCjoK1iwAM6dKgCZLfD8Tx4ejwNrMmq+Vk9Jm1XkCV9gVgTXMCeRacOWYMfY9Lmf6UpRgQjZbqpsDMxIi4HJWF6gTawVgbaZ7vjZyFAS1Az35+RUwePdmOx6mcVt2fh6SMVI22Ep2ApjbfGA5sqT1oL6cD2RkvNaCLhf7OfN1nB5pbSAnXzv1MXZ8LbP2See7b/+1DEFuM2OM3+nKoUtxmmFDrNZvBdKsM6mRk7euE+TZZ2KUz+xQRFsnzw3q3c32JtVpnh+Efx1+ZLAAkgLdHrsLVRSSi0WpEG6bNmzH3rAQXWZygh2TeQA+A7i9zYHGtthQXFBUBtVW10H4o0Q/PJz7CLHx/Yj7MkaShdtnJq9teiBjS5hsa98ERj8sR7hp9c3z32pFEu1cOj4ZNf53miCUXkS3u7nz4eT52fCCSm/wT28qc8dPnH2Ruq4pAOpaZZ5+ISbhrPEzQcnV9yfZGIzqfD88cnw2KExHZfmCn4Hq4pzUy+xhnTmyHkEDWzBxy9TyPEJeUAuqnUwZoZTxgE3hTbHmhLeUJ/xfeKU4PSSlTSO4ciT7A1lsfzuFHseiHDMpKNoLBaxGTJu3KJ36vC94NQqu44TnwE7lw7pGlzrVT1DggT2Xp5pq2CI89kIbGik6PDOyCByQZYhtHfPDTU73p3wmi7DwiU+3IKBsf09RgcERxs8LEeR08YQB4KOgmWMDV/sTQUvdp7i6qg9GUizc9tAOLB7WPcMhSJB0ttft1+la+Se/aP678eeOKNpmDiqogTEiWbyWtXowkTJGIci8RnBLsTtTqm3oA2YrDdrHWeaSYvIwRNgn21YjHDn8NEvlsPIoGFXRREqhplsmJxb+gxOM8cHssEGKOceGFMA/2nDuXAKslGP2VzFtlKwyZqFJBwpnVKDNQ7Ip546J0d4ZsGgM5laRYHmSuJBLToqJgRRolmPCEEl1ze7AFtTDDIYmBHtiiA9tbrsBXrMpi9YSlxdZMELeUbK85w1V1f6SGkf517MUG3EXoFVpJZBVaID5v+9WrSI25VrJap0xkrhzSRXSgvY6fcmp4sKBEmIsDZxStWHEfc5ZGjAsubo/iVZ7QRryfbNfcsaOZ1EYHxmUU4zCSL2Bd7RUH9QMyaQPti62Bf6RVNq7ERexfbAAiGY4Hy37xkOTx+dII3UoHtdfoP2H/QY/QW6yDlPnJsN9966STAvHGwcdWgAydzfsWdYtKU41lScHJbJvfI3VdPVd2JN4jwH+q+4HgIZ9uL+3ky4OGUN4KIOJPEQ4W3AHlejQ0k/gv4o9kDBza9T8/JKUg9UdjfeQKsN7XxjLMiwgbnGuVYzl7JCodEYwSIV9zcRNqwgxao23N6ejHCrKIdNfGu/iq2kC+yhLhzmiQtz2iR9HLMUs0WmtTGGvQ1VXxJy4s4mGG/vWs6myaBZ/swwocYHDt7LuYQxkjYYBIeW7LgN+jGYiI+Vtoy5ZwAcQoBDIoYGyuk+DbRuEAzhnzES0bn1SV3tOEcv+Xn8t6iaqsZykU1nFczouiKMZJHub3donC4qfheYwYVJa7QplRnyYQGUTTeDUpE05aUX1OmmLpyvuuIj5mWVsgyaEv/O+uphIlk2Y1mUyE6DgYYBZPum9ZmF8waoRw9d1NAgpqexruAupwGqmdngyOkpNSHj0AIVIdtGUyXNibzmwV4myllQzOLBWcbJ3zJUUHbpwJ7hWDmpitUE3cUZPnoWisCa4cqhJ5xF/9JqvCJTR0P0bbuGtclbVWhp8i1ZLLLVZMFZg2A1Wduw2KDPzsuOfTB2lFSACdEziKanls2zablZNVoReAO34dhwZQOvqXegJzjw2zf16NzoPjaI5/S59+0MH3nstJwYBRnKNtsXRV0ZoWFiSojT79Tc2aC5tM/x7JwNAocCfdPzbnFdSWw7glM0WMiqucvF7/1a8gWvlcjBiew6N5NcKS2gKCypxlRp7C1JZ3yoVfP3gJSAYWbGhFO+EhCzNrFpYJbpe+IaWrGR8FlsAsGpV8y4ZvpeHDLobEREe0fPTusayKarCTSXCXWd12CHvEsGaxWz1XDqwqxxzgvuYMEEx+5PDNxydjDf77DFrHECeIJlp/3FPkCSwDlxth+8c4sw1PyOwAF9/IP3H2w0ceMHeBAg26AplrYn4ahD8TefhS63qJ/hW8zGoNmTX9l0ZNQiuF0lY5FYu1QJpApH43W4ISQVKSA3mmxY55tN/n0Pn1D5CC3bsaVPUfv5CUrYZJTMyWMTcYYThrvzbxSFaBcIySPPnde0vUvwz00ifl4wwSmms8VNLjGMxuAnyx0/AlNYHsQPusKO5RnpWoJb2pxxy6YjGCGuEaXH5+TnfI7NRdyes0VlWIGppKpG+eeBsTddOrIGmjhnech5uT02bqbcAcmmBDcguMCYafOPHeIYrWSyuhX3tmPgEbID5vRnws7hXjWOzZyciqO8zSqJuUXTQZdjUs0+Ax1KUi9ZGV2DhsioR7qo1YoyiZQOr9CI1Vs4VXKIcC7hfVWQU43OWF245PVcAsfB3rN9IFRCOpy7MCNMbZJhwTGl8Lt7xmygt6A1/cLZGQWAMKZAvcXPaJjykc5kw6xJsx42j+SUzWXj7wvZcGDXkHCgQFF48TjYPGcgGX00ve4cDEfPzMgWkHXH0WbaG2XpXZsHwuvv36HGV6gKfVIjrEhsxGzeNE6yqcOgoOw7jVF5stHotzG4OL0ooubTYSZ5WiDobA07NvVL5x4/Mm5Noklb4IwqTWHenm1DoVap6ZmAV3/dy3bqHmfmigaTcX7s2LCqJuJ4BG3mlLUjbWqSwhOn2yFVgqHAQVwxBodmETtCYtBHTy4leA9rl2ykcOLSy3XgdUfB9rNeb7aGy04H1TQHHax11jfrfLlD3d/ok+B7ON70GmD3WedwvvN5MtUEiOyb7AdUvqAFpAenFRuJB+NUzIBRkVmmf0C6G6FnrCtiCAsyx2KFFbgWME9zuhGrPlkjMxUeDyw8CBGbUqwSEwALIhb7Psh2K/kEjW+sYE0RZFQZHleVnSJzvnvLQDh6dvaSRtR79o2qt4M9yRqyDfKovTUyjnA+9OUzBy+oqsZ1uqaYo+2N1UuNn1cisTfcZiD09shmJCGjL5ZkMyHcsc+qkhtJNqTz7fg1FjpO4UBfXk4xSoDTWImZNBw6nNCtwz3WxSyMcE0ZL/HlzhuMQdzfiQmOrcSjaLJmZLq0KTeyZK2bqxqtEG2wja2ozZz71xsffbMWpVvKOD75O0YS58dH5gpjDBwDLlGn1YujsTM0WiXowfx8wAA4HgaNDHuIDjLPESeEJrhCfmlD16h5HZPo2zb9JF7PBgotNSl6xp73kY5NaLMLZF0MgmDMEjZdwDnJPcPX/OwNnmJOt4+xt2BnOTtLp3htl6vNHtj4cXvFPEuySmLFqNbldPuUTBzENzywe90xnTQL1w9lYj5l0JpWmNKRfsbHL+idoWM4CoIwxTUAhzefoykTyIpTSXI4AhZw1MlSNhktdJ01jwPI91hDNCjvis1gnOtkzIqxwbJm79o3sswRSEqSxowNmGsEqlGuZgSB4fvCppOdh/WAzKCy80Z9CaUYTgPZQJxkd4Z6Cjk5MyzC+egkeLVJzylWowic+S+Zw82D+TA6ZDj293zymBq8mCLq2TJjcbAqHvetsdlRjwkkfNAHf0F/yBpy3bwflchVMeO5GfysWZq3b7iXcd5Ys1QTnnxhXHCVF1NWq9dkYl/30p3rXt9W6r9oHkCThHwkgw6C4oefPWcMGTUYOmjWBba03KHet30gPHpoLBw6NS19JIDj96L+hNu/CFZ6Usxbrlf8WYnukN+/8q6tqoTRqyQIpKqx6VCD6QDIJwFkJEgg4MWZIzBI3htrv7xoWWYPLBpBCLScvdbfgA6i/8rEa/1bQschgLBqAclk/8d+/IPX7FMA7xTFzY2oNEiSMMH+AH3Ef9D0zDiYar5CE3g+HDwxoYCBPQA9tmpq3B9i8u9qnWSh6DXx1nwPq7ib3XwxpZDLtMT+3+yyIZ1vx6+hcETVbDxkaVBeMkSFFFhom0bJIt0CJdn4ghoubGMmWraNDx2B+ujUhfkVz4niZLOWRVosgae0Jj025HYJIbEiCB+2vPnDabbyGZqClr6fjJaTE600orxmFEI4/jgoODBkV2l441iCwCQaPnW8iBFNOsgcs7dgjkU6wV/tFGvKKsQJkzY+vKrniGBUxLYS+ZgxZpoMGNkPbESvZd3dIZDhibALDK83rxkbjBkxBTZqMmW0fYtnHy/fgqmle2mmhZN/k2ievJabe/LagPzk82kZYS9HQj/I/Qz058OeLX3hgdtXpgBb75LElIpiEIc78n7zPKh9QH2pIFgTLI3L2+FPLHllzrYPNJgVXPi91kvEiLfK3nrJ+fX37Wo0T1M6pvS90oAubw71IVyhbk3LTp+okjGVpAhnIytMIEGWnY2WTPWpC8YOIWiV9CIT+nrrlv1OcG27CNLRl5MjRLPm00fGwrPH4PG3CZr83Ctl9cT/Ce8dj+cBKNh4nhtOF+ejb9mdaZqBTZZ6XlpJMpjlHt764F7xiuNIPXbwYnj6hfFrAjXxIUSqknVAm9ipcC/7tg3clPqW7L9ohnxQPQJuSUCKProDTpCJ7b1zz4igH1SMcEbpeSBZwFom+wv/9kefOCt7DpvOpkHDW7OuinEfyKRz4RV3bVPy5OT52Y74xYF70TjPf3FCofdTA2SeKY0MdbKgwOCTth8wACcpVSAfleXVDIKQY2enZV+AdxBEEwhrinWs7HLfONueDZ+bL+vagamQrWaa5ns+eVyON8wu7Gf8HT3m+Rw8NaXvYdMuFitKPnHP7GnAxViX0A4TyNB0TzCuKjTJqzgBu9HcfxVNynoG7LER+qXnLfhleNElk0mFo5EFbiPJhnS+HfeGs4OyUn5BGZSlinzeyiovmEN3MU62mqvWxA1MpLywaPQ/GCEaKpIQgmRGOqkwHIuNTvi4yPvsI8ST4nRGhm+2TQbF5Duc0+EwvsFaeThOnEs43s4o0HDO67ahEkRQ7pqYKSsaBzdRLpvTu1JlWOWvOMYWQ8c1Ylj1Oxo44rQtcWenMCqL0WnCabYub2OAIOI3BhlwzBgZNn/v7iYwgMoJp/TsxLyMlJ8fUcCigoCV881BM34U4CV+/8mmSLIwcvrlhCw5JY5XtQyD4QQZfb5aG0dQdcUUUKl6GChktZGwgY0M5MIbHtgjKqvtWwdDNtRWhe9b71hU3qePg4f+zxsfxKQDDWissty6a0g9BY7rJrgiUE4KDjDYUxx3jo/TarSbdY0PXyxOi1tX1ataPTxzfEIORafcxzgjGq1OGbpc05ho1gJBPRkuDavyATsRApVK1cPIQI+u44nDY6Joc2cIPbeGZXTGbICPrW7ga5Wxq6mCcPjUlAIAbAk9KGJvacJBOR5bOpGAtokjXZP4TGmSU3pbSZI2sZU4RppA4q59o8qY/vUnjzVsxNVIsirmwlowTn2qetG5EFTPgnCoXa9Eto326t3cbEwnLq0G0Hj/RCVbD5946mx4+Dlb+7fuHGwExQSY6ArrVPz8kRYzU6+FV9yxOXziqfOGB08vBbysVWj4WK/0bgDdoMfqk0+d7VjHlqAyJGDKosNl32VSrMaew9hTJnOeFcypFButVRVTVbqqZnsCTaoZCO+WjLyG280YPMshk94PZT+0e8FH6FmsqOkax5tggOw9UFWeD9dHxt8buWuN+QCWcIORCCdbcDfR0i4xqJgzDMsJ9zcdm1UNbkqirEwPVRt4Zqcr3D+LDnE91q+VWtUxxPa2wsTdK5F0ZChzG7SRZEM6367MTH9EQdgc2PC0M8XpVsr6Vmrq3AbjjMKgEGx4DgsQD7NKYbZw2tHCNhoj1TxnzYxqvGji69ZwFxqx1DASGk49+NWRwR6V8FBuFv+yMhTZ8DSKbHziDsFIYiyTSiZe6qo1XCTH6zYINdqIHNXoCLjDYYEAo77NocFpootamPOSZTtorsFoHaFhpmwwFxtna868NtHYoAnkYNfWfo0khroqmam28fJcg/EsK5hJp1TOhA6t5fXG5+OTDQsMSqkb1ZJg6P5M4vVgqFcrjQEsdaYvXlnjJZsDDqDotVSBSYW92wbC6GhfmJiYE6b2ZpYkFrWV5uB6euOTGAnIcBEkZ4wtgCFRfPbs+MIl2Tz0BqebzZbn7E4bbAJzC1VtnqwtNRxnUmHTYE9H3Mds4IdPT2kkPc1eCAOsnDsXm+JZdmBsrFUPTtlU2cDRZ9Y5Q0Ec/8o60DCp/kJjJLfzi9cjVIRj4YxA0YUu9hVyse/Dmjm9wdmfon7mWG/1aljDJ5k9no9VxxIQsNiE2dwgKaagyOffqvmY58Z4e6oBvAugPPa7SDPqgW8HkuRDbtVSo9J8TDg0bJs2Nbv2TPrKRtG7LbvZmE5aVW5Yw8fPz4ZPP3NOz4wKUHLtG193RZU4hKqSmnYFGSzrJWHzP/TomfDCaaPUS6ep4FgjuobTVY3DGseYDC/noW+qU35x1jtTMjVULXLkZ+dZv2Ux8BA0kxTbvqkvHDk1FSZm60sTItkvq3XZhC993a3S87/+xDHpLRUnnD6bz2AQUyWWgGcR1MWfW6XWMlzeXHn/7VtlgwhE2KsYvMVequRaNhWm5tAryBlsFVP1hmaVxAGQOra1wT5jE3K9g0efSnS1VlXjON+vwOoVHd/kDA3n4ncyhss50Q39aFSngQ8ZIUMnjCc92ZRmLlAZuBwT02qkHiuTfb03V2NzJ7IhnW/KThieTz19XsqlTmQUVcqXgCXUjEGkWmMyYjbSHZUM+xWddIyJDV9JNEY0QTeSmyDsBt5EQZbVYScoF8cn46JzK0uXF30YxyRq9iEdrfBfypCVaZJyWIY5+Y51RnwjbXBu6xoMirFUnm4v8oOdCjEBl6GcV8vSPJIKNUX5cDPXlJF46f5NMowXJ3GCzBC7sYEuCeOH88QV4MAydIXJZih5MzwAYyicmjeoGkJVkbzfX0hs1F46BHrj5Xhhh+shbBns0bvDcXEYi43ztWfRCd2gQXAw8lCS2WQzZ5dZjTjsR3AiVTtqwliS+R69CblP2bQYKEMJ18vOSSwqTqvYGFI2yY11zxqVQ0iQFnUETl8cJRyG+2/frMmVzQ1cW4etKZMAFmcQ7DHZOTU6iU4zrc2QbBY4TkrunXIfw1x0+sKcNf7GILGs4TjWvKhmaQ2asTUHf7frG84GwTXOBk7Fq+7ZFl59zzZdi7o90ill1Z85Oq7zoDsITjsZRAJarouN1IKJpWZKH7bjcSvBMHzgljSwbKXK5nuHw8UJsPAlZY+TiYBG83fTYhYFaot32tOTCVuGemVryNo/e3wiTtWsCxOLLTBYX/vhQa1E1bLId++MSy6C0iVshDsg2HGYnq5UjgNryCxhg29WYS2jd0xB5TmyFpvXPrMocJqxbySi2P/EOlImMZWN7FYVzYmAqQl76OtQ2OkU2GkoL8taw6xdoGHOd837RN/JLD/y/PmwY/P+ZTqGbrzrY0fFkKRjpky3ePfOYY/+06xMgA1rUD3MqQJmTCIpQTmAd3FcNXTPl9RPY0Epz8EcYPZKMtEE4ewvBOusd2cmun3PiGYNnB6bi31OtpcdPzfbGCUfbBRArOKRvcbewfVvEyDk68YGz1Q6o+qtVcRsbRdiUpAkgRzsuIdxfvbXaeiEFRBYYKxqTwd7VVLcx2G7tNkeKyskuyvwR/rVCKzXUuqN67m5eis6kQ3pfKOEt+0cCh9/4qwcYIwImzLwCM/oeBabhW7cuJYdp4kQQyHqQJqqakENmI8dHtMm65MfldFtYrQo12qhQik0KhRRsTvhlnmthXTZMumujNp83OmOvNztolxQD1zXQs3wpcakYJP61GQVv2scoZYdsgwX+NLL74jck9OpJSF6Fk3bvZPhvmv/aDh0AmYJa1xCgI84Ntwd20YWPW7o9XRdPNA4sM7ZrGEa8TyC1VRjkMOz0A+J4PNyssACWvZ5qTnUKMN4T0vNnfw/nfuZjDWIeklfXf6M76XiUTCOWk3qa/M8RDlZMLYYY7YwR3G12TbH5uOUZbJ1TX4j0/P3j54Od9+6JdxMAgTkfY+cDEdOTmrjTJadHYuKfrGWBnM5TY3z4KxWs8wqnNisKyAabOhQdH38ybM6zn232zhp3h2bcT6fCX/yocPh1MxcKJdr2qjJJhsLT0XnoSkKqNPu6HzUo0PBemH9cJ5m7mPWzPMnJxswNV65moljkOfUn1rXMbgSVz2l3lpVwQDrlMw8GeP3ffqkrou1Z82gBTWmkWVj8ikb/CgTbAs2CIhrJ6Cdr1F1s4y6cQhHbDsOeAwkRRuoJit7B1wL+NQdo31iK+L5zRWtmdUXuwWhl678ltN12ZxlGy24IJuPI2bOjZXP0RWOb4iYzjyFpO0T13EHn9d/4+TRK83P8X2yorPFctgS2sNOsCm/9Eu/FP7oj/4ozMzMhFe96lXhh3/4h8PevXtbfn5sbCz85E/+ZPjYxz6mNfa6170ufP/3f3/Yvn17eLHkcvzdBJwEZwS6t2y3QLQU4VWsNSj5+smGR1pO27esAqqhTpFqUw23qZS4/LHHztntMA1PZN22czi85NZNOj/rBYccm6FmxL4+owGcJ5sdua/rQFss+LQMdDk8eNeW8Dn37tB1enCPkPFWQ/dAQffDmlwo2T6IPpGdxhEPdXO+DQpn/+WcaoaPJARUxzZv6tO1GTNRPfRncmbHtf/QtxJnX9RNJ3DY5RtIzawfyio3S/1SniTSNN042M+ocrkWC76xa9gPnsGVMJZ4vOrTtC/7eVUms+Flt21Slc728bBmks2kw3yjv2TjyHVxvm9EI0XzBtExC0n0fGQ/g5HXozC+yRgVEY2KFTnnLH6wY6NDveG+27coMwADBxRocJsua06Mu1OjEbLCsc3p5Ifu2Dn3JxkCNq1msQxPZx6dNls/r8ZMX6pdnnmXAajAB766qNMdFLfVNH6ixAz3wHDC2OB4PilWsaJub8fDO/7VMhyWCbNss/3baM0uxZ+bI2ORizIK8TgY+kl4oxmsUGDASFCEHolQLGhJcBj7c9JQzDqlwYwyMjZZshbK2bTKfrxnHHo19DQ/A3fW89bFz/Vi1HEWMaKrykREZ0e0j5VaOHZ+1rLDUwuh8NdPhVffsz1s7xB7eiPqmgsO7Ps/czIUK3XhMXm+zWVn/rDhshGzmfLecOpw7ui10DVPg9G0rDkUX15ifu74RPjs8xfC0ID1crC+cNSpNrFJDw8YAwLBtjZI+jgWTafZNDkOWT6GZ7BZ8jywC5ybNZmEIeC0cH1QVVbKZcE4yHLLuU5ZoOsBuDMWWP+HQUiwMWTWNLAn0l5SiscmANVgWMhDz5zTM2JzJ8An2+2ioDlrzZnYDb5HAxpOt4LAyL/vzZDqiQAeBrwnk1IVgF4KWCKcvzlpq9pJ8xAx67QIxswDi1GOiYKVyKFvn1NAoWtNh3TsdbmceDbPJgtbRWg1LRWepLhSoZr3wc+cDF/3tnvaNgP+yq/8Svi93/u98NM//dNhx44d4Wd/9mfDN37jN4Z3vetdIZ+/lLf4O77jO0KlUgm/9Vu/pbX1Yz/2Y+Fbv/Vbwx//8R+HG5X326Y05vXfY+dmVZHEEWO90FhM5hRHFF3ggTeobsnyolvx/YlmtierLDSOLOwlzrfvuGxYiIArEQg4C8oxpkALVmXUq9gCmjkn58CpW2kGPuy54ljjPtAjfgddqAvV1GRDt+wK1aBIDGBOL3tRTFax1vh51B0+7ywhrEn1NWmidNH0Wv1GVJ6xUbZeDDu+FKk29DDqEdUg9UpRzcNmNL4D1DQTe74sg+7JACpHgp7GfZ1kYIgc7KuV1aBHuG96ARQUXDG9QGvJxYBio0mnAwevStxI/cRP/ET4gz/4Ay0ojFSp1HqqEUbq9OnTMlL84e8YqbUUNiEypuBq794/GvbvHJZSCXcdo3Vx80aaPm94oNGSbCeTE+EGvv/AlnDL9iHhzcieLRubHKdRYWAwGsZ2AgepdYozFc9Qvmu5lCP9XXR0m8VHvQvjGZlMOskquTh22pvfuG4cE0XjOCkaq21NUJTKcJgoD/oUSnFrR7wagUHy1MWKj7q20qLO17QZy2lOTCHjfhhXTGaEc1Kuc2y3mCPAhkcMuo7TVODyjMP4bDFMziyGsemSroGOc8qsQGhghUl+B/yqGHI0kKEkBw/BSWJjIpPa1GzfVrz0ac1uNkmRzUGUV6kQjpyeCe996Lgc1/Wqa8uoBOeNkswpvfgvGzIbikM73v7a/eEfv/GA6Ml4h7AJMRUPfeTd+KPlffOu+a7YChbKao7GebYGxjlNkr04XVRWGYfKF5QFTsbhC5QFJ5bhV8BWeNZwjRM0kh2iCnExUhW6sGZw3L05io2Y/2kjb2r2tbVgTjHvl8+LOjDFVD5z8qEzpeLDwBDBoSJnPyVuHAcm8J0dX2JU4rkR7KnUHStp6rcQL78F1e54bxmiiTMvJ+rufcNh55Z+HfvU2JwqZTTEGSb8yoQKEpUzBurwzHkuCPYOO6vZAhWyoRG/epnjeSCk51y2wWbJVoBOneqrsal89+Q5q3a0EvTpN3/zN8O3fdu3hTe+8Y3h7rvvDr/wC78Qzp49G9773vde8vnp6enw0EMPhW/6pm8K99xzT7j33nvDN3/zN4cnnngiTE5Ohhur12JJWK/YdmhOt41acAgEhT2R9YSTzHex8c5yJcYwTeq1YxCUwUzEHknvA2uE7xOAs19on4pBMcfCDnjm2a8LB92lrzerxBlOKcfherDvVHMYkEUDJfCSpM1MBhk2IdL2QGyKs2v5HpHMc/ke6v6AZfdJACzIpuAUa08Xr7/prFWul/Z1/vh+luwJUi9DpPxze++Crdi9pU/VL44tiJygY2ZjCGCwe3ynv4fEYefS6d7kYn02NRECWIV+7byVVAhh83CvWGM2mlzzzLcbqe/5nu+RkUIwUq9//etlpL7kS76kpZH61V/9VRkpBCP1Ld/yLTJSIyNrQ8aexJjSCJHJRDxmGcfSnAXKwWQiBSuIygn2LJyeluEh40kZ5m2fs09dz+De3vOpo+H8uJXNDZ9pPNhQ6J0bXxT+S1g5HNcmqru1FMfFuSw1Fi7/L7JaDKaSzzBL0OwSYSQEE06zNLvIOG9reuPD3sDqWT83RhizZEba/HOCAbrEYwAR8fD6TcTTJ7cJcLXTKllFzG2VUj5c2WbU6IqfnY/sKIL6WBm8gXP3MnWpFlJ5jGhaWRY2fAZKgPM7dm5aLDEO27ESP/dkOHH+8DzA8BrmH/y6TUgVXWSE/LR7nsKiJ3D8bB6UODG4QB5wWFthjteLriXL2wRKnYy1JntFQyJZLnvGZFZTwg97z8KZsQWNSEeSI6RtYp31aHjGaLZaCaWLc1qnDMei2mPBkk0SZSOHhYH1yM8cCuYl5KFMIRw+M63ss9h6Fg0zyhsEysK69ymAzUVgNfLWuAcLFjWMZLYUB9AYTdpzJyZjc1psZmZWj7jsDcrEwKznjk9qbZI04JkBk8F5t3u062xuaBTr0GxZiQX08ZljU8pKC2JSq4fJGZgj7JhL0/s6Fwui7e/AxxwTzrtSOb1abVQm6O1GtxvX1uQge88MjnolmA1odTk49csYKRJytXRsSeGa2zVdPvvss2Fubi689rWvbfxsaGhITvWnP/3pS3Stp6cn9Pf3hz//8z8Pr371q/Wzv/iLvwi33nqrvnej834zfGrraI8mOrKO+Bi/ox+B7K9RUVrfDnbLpylrCFm9Hl5+xxY1EB88MSXMNQkp35T4PVng4cF82D7a27ADcjpjEEagzX7qgn3lWtmjSWLdtXdE9+LV0eY+Dafx5Fpx1gmsIVKw3iiz04j6vhLPx/Db4Lnt39qW0kEwCQJz/s2xcbg1VZpgPAfF4qWwJ6+CJStMjeqORSDSgcFeS2JxnGNnZ8IsxAtOHSpI2VLzJdfgGHDsTjs4iCd4NJyoQx1vNDzXGbJUtO83MQ6thbzuJdv1HjeaXHPn+0YyUknlRV5173ZlOFHUocGCNqHFcqkxUh0Hmo3NM8ksYDJdNvzDFj1UXygIWdKRwULYNtofdkMPFz+HMlMOlyMau/1x2g1uco0870Sj0rKNaJWNGa02ssaGGUvlt+8Y0qZNJQBHhT/33rZJCkWmk/K2Txuz5Ei98S6EKm3BmuDX7w64M1c03YqwfnzSBniQPciEPlggyHLI4WGEfOmSrL2/y+YBRT61jc84NdQLZ6bkKAlDHzOMDkkS1jcGFmSHxFFeYTiKlVsH+4ChsJ7McV/pXS1dgz93w00eOTWpCYpkPXnOSejBetK1MkEI7EBxqp5K0QkpMIp8YiGcuDingKpYrQnyce+tgw3aQdenJ4+MyXFmwx/KWBYZfXQKSqfpmlwo6fNOkcl7M87hBTmbOM04/bbB2rRULwOHZWVonMBaeOipc+H42WkF6tgByu6iF+xNKWDg/ARgtsEvcea7vijrS4OTMuoVbeJg0snsU/WZmwYTas6KglzgZpHJCMHhZ1Ln3beMNJxwBffqTajacJyl0VwNlhCcYqty2RyDauTsZqiW/qSDMobYwWNnZ1u+T56pP1/NDqD6tML7dw5j/b1yKZ7Tp3uqoS3quRz26FTr2mOVyZvEXdqFn2u9fcPN3hsdoWYhw43s3GnUdS7btm1r/C4pwFCApwABe+UrX6l757O/8zu/05g+eiXS6tpcPFuczBq3Et8HxRQ0tDQkBhYf1tgr79kuG7xjc3+4bfewOOVxoA1OZJlrkhaLxZrmUmxiIE0uq8CStY4tfPCu7Rq+BLXfyYsG9TPoH463cWkTTPb2WJ8H9oKk2K27h4TP5jhD2XwjFc14dOHKMyll1GlOX1oX1kiatJkVpr4ulMPJ83MNXVfVNkWVxXRSTERNvU/JxBDurQ2qskZqEi6q9Mr+WLUKm1UqL1EPuxBMG+uPwa+oBDvhAtnwTNqqnW5vnBnGg8wGzW8jSbVER8xOCuyVY+FbyIYALc04xBT4nQ1wW43Poe/HYJ5rZh05YcFayfBATu9adugmG2j1ojvfN4qRYrNvZo7g38NDveETT5wOJ87NCD+VTkP5FtkvGDrhuugMGizEHNnRnBgbGHv9t58+qSiVDOX5iXmRxW+LrAlkxDA0ybIem/q1yni7uIK6s+xURZ2I22pXMmUchUGzDZzSF0aIJhUczZfdvjkcOjmlMvhLb9+iIGTPtsFw657R8KmnzggGwLOdW1x6BmJdaHoGxhhjGEHPCOqzlaVmMWIY0cT15DRgiFK2N7SRHcGZaZTfE5RMfi4MHc5Df29eRj+JleOawBNjIPmpRruD/Y1OgLD0CfHj2uCfrIwVJdES1IDROde7xxHrIF/g2GDdp8qcZBzKwjeSNcr35FdkP7mRda1UT2mSLA4iUoAaLwp4UYIMMmk0TjIRkYw/mxuY6s2jhcZnfdP3Jj5lwiNm04Mi3hvOhNhvoiPLgtB0zc192mih7nzpgS1yBvjZiXPT2qAQYfjJJvvUWipeU8Y2xLoHosY5LACoCm7BqHuqLPB7Cxtav5S3X6VoMJz5nLJvbLYEe9xjXlUg24ibRdWeeCFnxue08XOt4kSv1cP+XYPqt4Dvu1avNCZYXsoCgsE3x5vjVVXlo2xfDY8dHGtM1UMIJB23jr0jU6mMvDJ1QAqWhoQ0B+mdmDZjBooTBKNhbWY30vmjTUjy3LdzIFbRy9mRpLOZMDzU11LnFhYWGjqUlEKhEKampi75PAHVM888E17+8pcLBsYsAapSVJl+//d/PwwMDKyJnrWSoaGV+0WS+yCDb+aKJQVb99y2OXzOS3eGvaLxtH3rZXdsCw89e06OIYErOqIsN/02fbYesfOD0A1m02HX0ID+u3fXSNi/cyjAN/Bb73rKqArFApIKW0b7hM+myZgMMg2czDegofEtr94fzk0shoMnJsPUfFlQNNbMzILp2JaRnnDr7pHQ15tv9GZxTTjB9cWKbOZsqRY+8vhZ6+uKcBN0z65B1FnKXqs/KlZq20Gol/i5M2HzSJ/Od358XvayRzrTxBMexXsjWKAiLkgb9zehMrALTQNdBOJmVSzvj+qoOl1nenRF/PT4LyQiFIRH2Bk260qqWiH2wHEhBArNQ/jWQvbvGhYssBKMxnkjyTV3vm8EI4VgFKanL51COZBPhy981d5An+OTB8+JGQEnwJk5lh1DDAbVcObCnLLkznSwuFgKE1MVwR3Ann56thgHFAzJWIDxvjBu0zAbPs01dr5D02lWBS1JUPVhBIDJYIzTGo1rm7ei/0o1nDo/G6ZmGAFeCacvzobHDl6QYcFZZ9DGG16xO+wc7Q0XxuFUtUi+1cAAxBpzIv1hImgAj0ujCc4B1+HsDho2UloyUmI4iPAWQU7yGZXYnQbOxXF2/Ik05/aMIki2VCZDijlYus5lmNNkY1p8UJTlcCj6CpG7lIBh3iYKalBCB01meu4x++rTVFmD55muSraEdTYxt2xTTWa1bmRdY7jR5sGCytu37RkJpZKNiWajOHTSNlZwz7s2GV3dibMzCoTm58vhwO6hRjm8WLQhU2S0ews5UXXhFPp7Fw0l91a2jR3HVlnf2DBFqZn1PDW7GJ45Oib6rD4m5c2VrJwOPlRDMBizbtlnf9dsmsrcXQArvfTOUqlqOHGObJ5N9PNGYN23ysGuS1x3CNViOfQX4B3PKoM9A9VfG8cbSS5fnFA2aQLHgZ6cKgYXJhbUuKlA8jK8v81l6eSGmhwQZpUtMKY2Zn6+ySHRkK20cYrzbryHpFOzhh3tpG1LvlHTp/z5XmsTiv24MDYrp6pZ16gaOdTL/44Ui8XQ23ups/s3f/M3Cmo/+MEPNvTq137t18Kb3vQmNVx+/dd//ZrtaS5cL9c9Pb1gtm0FYR98yyt2ax35qHcoYglYsTmwejzy7HnRDAIJAXol2EWsEOXq1nuDU8raJGvtTXRUec6en9Z19ObS4eV3bA6HTkyHzcMF2UZ0gDU0P18MZy7Oh/07bbAY5+W63v7aW8IHCxll3CciBp9MOefbt31QDf/nx2YFVyEB5lltsrXHT02IFGFsYj5sHeoJZy/O2XrV8zC6Wqobe7b2q/KDtsJSwj5uPVvpBDzQmjHRM9FQ1q1x/HjZfk4lTWxjsecB8XXqf9A/9gIOOzFTEnZ9aqYY5hatx8SDTOnkZRa46wHHYl/m3TmtLuI0hNnY19JJo/Oy64bnPJIpqGfmGkzDvDixoGb1cxdmQp6NtcW+drPKNXe+bwQj5cIm0kowANs39Yf8ndu0gfzvv3nWyittjsPvKlUrM7G5Hj07E+kI7fcYJvCtZGwP7B5RRhinwwYQiAxMNELXEnZyNeINYg1uZSbtqVnMNlusAgYWR5rsH+UstBUnedNgPvT25JXNhHkCKjXun0zDvftGw1PHJi5xhhsS+T4bPOBxwBDBC87oJPhenK1I0+TQBctEUAr0EfIGQUGBc+pON7iBJ/awuwQCjqPTuSIW14weZ0ipHOZySROdTw/VZdskN0p/XBPGmY1J10iTTpMdaec4pFqyyhiUYXSgR30G7dbwetC1B27foswwtHkDPTaI4+gZazDk3mgwcow2/8bgkwmD/QNGBZzjmTmrRFBuRtiwvOFw2d4SqTaTOGEcOY4n+EnRmsS4zk89NR8uTi2oosM7E3ZaQ3wufU+NabEOifAMrY+LbkxZNMw4m5dNnl3i0ue4lL5n5mtheCAvHbswudTM2U6MLSFooBBr7ZljE2rI9JHay7Cqbf7eLMkg2PnmG5WiRCOaZ/MMs2qZQxvQZQ1glztPK7ka69c8dGSthfskuMExaLWWvbp0/vz5sG/fvsbP+fddd911yecffvhhwbmSAe3w8LB+duzYsSu+zpXsgQuOZiefQ2DXccERxBLi1NLAKJaNyBQieFwcZiS9kc0ziAkPD5vNH2BSyPsfPiG9xsbCMY/zTOCt7HkVe15R0otKECQG6h+o1+Tol0vV8OaX7w5vfPmucEE8+Cnhzz/97HlVVSdnig3ucapPPWnL9GJ7P/LoaQXdQE8scWRTcJ3vXlS39aBA2Ce8cg+FOC3WmzLZuzXCPmMOOXsdjjz381KodU9N6XgE7sntLbk+myGOHBNef59g6w3SPq21UxE1Ycz6N+8tcpxL1ZAHBhsn5nYkvr9dw740BLvL+2inZzezXHPn+0YxUh1f75Y+ix5X2BwUwcZ1QraqXrdMQToxch2Fx1k8PQY/b48cQbKiOLRsZGTB1MSRGAkfE7+rUrxrI9Cy2UQyngSZEJgiWk62SmTNMCbQRYGJHelnIEM5nDg7G87m5sLd+0aF57swvahMrhu9xhljWZ5ytjebaVw12UhwcjkgQRgX+IutXFgpLR3DqZ8oj/N3zxqbU2IZaMt1mFxSGkywwBj11ZIhED1kE297cuJeXw9Zot7GsJ/hfqgWjZfVGzP5tHDq8TOINcktXYLh0MkghrBQhwPbGthowLn/9i2XxcTd6LoGM8IXvnpfePrYhHi+yfhSMcD4ksUCc+q8vwblsQ7/LcO9NvJ9xqgHcRDIXsNAwh9tohGXlKz0ELiwDmzaYSrke4zhhA1/scSI7GKYZ9iHBuHUhU3mv8sYi1YQPkLQhePhgbcGcAWjR1RvRzyOO8i+hlij/APngYax5DTalSSXsXI+2TyoTZO2I9nIdaXCfcMnzkaO8xHbXeQQgE2n8RhRuV7P2ShF3QG/XiJMaws8+FqJT2F0juhmgd0EvfnUpz7V0DUamJ9++unwNV/zNZd8HirCd7/73QqEqUQh8/Pz4eTJk+HLvuzLwo0g2GScXey97BRTlkvV8IknzypZASvRM8eW5jcY49MS7lvNqbMMtMqIBYrJmWSQ0W9rao5Y8pmiPm989eXGQCwaOxnZ7oOn6BmimiqnMhVUTf7cl+0UVzjy4J3bdL3w7aO3sFKhizPzNPmmw+17hsRURCJIw3ciRJBgRGxD8Z7Vf9Fo/rTPMDdifMZYkkqJDbk3m9W0T6rl/Jd9f2SoEP7mE8fCE0eM7rAT4d65VvqJkkG+w+c6VWTFyG2cfT+MaDoJozo8poJ8b5i+xmpdhOgAxrI2enYzyzV3vm90I4Xygd2eWqyGE6cnw0cfP60pUqtZdOrWhvEiundWBqJ8XQ7nx401BYeBsemUeZ8/MdFwDG2EbcwqJZz6q5UrLcvyPcqFXC8lNQyQcHRtHoiV0uqCYmQondfr4ezYnOA2OMI4oYvzcRx1HW7VrDCk/D3JOuJd5GrE9KEk6bRwgGTYcGi8rG+0hZZRdOE4+XRKuLe5xRl9zgcVCSYTM5EY6eSdeLMXYtkQu043aN7w1ZfPhFLVGjmTz5brpJGIa2MjotnOhqWYE+eOSW+B5hrrqrfqx/LmV45j/NOGq+fZVKsVZYlecddWsQ2sd11DaKq698DWcOjYWDhycip85PHT2ohoWvbMVW+sComyq1oPb31wWNledwre9/DJ8Nihi8oCK4tVqStQFN456o9Dm8jceJMTDDxs/mSbyHD35HLK4BoEKS074BCRTkSQiMgioKAwsh24DotzW1NlW2em0RneNbj+5uCunXBM+lOwUcnA7XL2qlN7wHU6ZMuZeox+1QaqyCEXNNY+YxU/qkS162u34tRLMnpipSFLuZZ471Qq7GUSY5uAF2gXOvVzP/dzYdOmTWH37t3i+UanvvALv1AQrvHx8TA4OKgq1Fd8xVeE3/iN3xC157d/+7frGL/4i78ovXvHO94RXmxxZ5eKLYEu+qQm9nxG1Ut0Bx1inyOwZN1in7Gr2Fl6UtBXKn7oLDS80AoaY43ZNFHPJqbGss+85ZV7NEfBh+HwvLmW9z18QoOO6OkRg1C9rmbJ549Phi/93FvDA3dskZP+yru3hyNnZkKpXlFjpiZVKtjOSc85HzqPA46dJrNOVnxQHb/W8Gk9TUZ9akQJ5nhy7d5Xwf6iSbuMh5+YD488dz687TW3NIZuvfzOreHRQxeXBmut8KwdSmlJJmPusSZxD2jX5p2qOhdtaafqCW14NpsNL9k/Eg6enFq1L3RF11nfWI2W1835vpGNlBsclAlqOaJsG8G+5Ax3su5sspzhrpKfJyueKlbDgV1DKkOT5dII8Th+FnHHE4MGDdps3OA8E3ylcqX6gmEgKwcGF5yxMHSXOVhEaoRU2gyZpvstVkO5XJUxw90FHuDGi4wBRkoZ9To0SkuMEL65Y0A3DWW0AZ4ds671/kI2TM+CjzX8LIYrSePHc8RYeJkc54xH6JSGYptQUyMwERtOgvhEUr/NZADk0LuSqACtAQWWFaNYBFKSEg8zmR02HrDiCOdWJSRmh1hTZnBry/CxbnbUuV61zDgQCQ1gqqfUvPumV+zpqBP8Rta1pPBMKAPDutH/fFabbGNqXrxP3m2oZ+SYwijE5sYzMN20THdFU1oJfG2MufUA2KRVr17I8Q1LVJisQzkCeaMc9PPhRGS1JjqftGaBZ8yiRWMhVgDKzwQKUAWSRW+i/9MzIMMl6i/gLUtrYSWqPH6sJuOyNZ0iuvpE1q6dJCdTrvQzBCxqcjgXgTfBr1UTvPeFAUQ2pYCfrwUOu3EvHRxEzBIRJoYurnW1EDtGIM37aad7cHwzNOeHfuiHwuLiogZaoU+5XE4B7Fve8pbwUz/1U9IlGpnh30cfv+7rvk62gSZnfoY+vpgCrIvpjzjdOMEEWcb6QZXWegJwrOfPlhuQMKMXrFpzelyw8mfTKTXcUzVgP8X+T8/SozAdbts1JDvp1KI44NSJksNweN4M2oHXfm6hpLWnqlXWuMJppH7Xx19QoyUZcK6FAWnmuOLcZ+IQIILako4B3hk8NI4055+eKyqgYH8jQOAYfJbEAOsbKBdQFmGe01S2LDOOg+50pkfOTCtA+IJX7lUQQIWWYGJ8Kh3ml5HhtpC60TSS3GIfUMWVxE+i36pTudyckORU52ZJqpoHGiSAjOI0VoevseOdz1ulMDk9eKPIdZlweSMaqSSOjZI3zqbhNdtzMq8kNo75UsGp+OiTZ8MXv+YWbchEkzgOPmjGxkGzgdFxTUmrV9kHjjY7fyll0bUS3/i5dwzJrs19Ym5ZqQSW/FUjk5twniyQgYotJ+MtXHatrjK7srxl2EUWBdOxsrwdzQcdOd0eXK2iZ1s0Gsgkj7ANarFBHjS6QFeHU+AOgbKTceKgrhPnOxr5JOdpu7K9nCFhdJd+Y9RQQVlpnDqjWrQm3SUOWnNa/MQKGKKjZty3tmnhKDoPrU1R82OkRV/5RZ+zX5tCp3i4G1HX2gmZLiobz5+Y0ga4jP+b4UflmjZpMlpPHRlX2fvs+JymP/K+xSsfqww8LwY6AdUhU8aEUlF2zZWUraN5U41hytRZht3Px7rDDqhSAV1kdTm110riG6em1EVuzFt3DgrXrmpY1POkoAcEYqwDAhBo0JIUng0+4BYZbc5lGef42YTj3cpxb1B3triRJCVhUpp7UdwhIFMvTG+Dc9j0itiDgBRHpdWE3hXL21nD6i9RTxrsqhO7p4FLEV621sK9kb1dySkAXve93/u9+tMse/bsCc8999yynx04cEA9FddLsHHnxufDuQuzwtR6ZrnZ8f6D9x9UggOb7VApb56UXYPSsy8neAZZZOw5w8eAoqCD2C3NwojVEDi3rcchJZarQt72sjPj8/ouuiK2mxmj5EwKjD1UtTi29wbRe2PDfZgfQT9RKXz8iTPhHW88EGYXSxqsVSlXreExvRRMD2TS2l/Yb3HaSbKx6rgHBRURYkiAANXm6+/fpWO//zMnhEUmKAauISpFTbpm/ZuTzfrAoXcucZ9qDNtWvoRNat/47AO0jFbUfqbqrAb+rG4tUy0WQUEkMugoWRj/z4u+6m/ozavplMbaoXxG1WtLLKQ0kfhaSCoVQm8uo6b4dnz6N7Ok6u7x3OTCpjU+PtcwSkT6NEGyobNJ4hTzGZSCqHStSi3iBs9mtCEDnzg9Nq9S6ZLB4lPmCGJYvuaL7gx/9pGjwszhOKxVCWpFxzkVwkg/eDnr8H/Nvds0WRFjhRFsR9zfLJ5VdmfSR8S/4s4tMnBAWCjtE2QIG8+gg2LVDGWvDUTB+bTmypIcExzZ3dv65YhqoIPwgZQHDfvKyGJoBzH1hu8rySHmnpjIlcyKO885f2cqGFmPdsM6kvfUTBvnx1Onfg8OeEbnRmwohE3l47M8B+6JZyEe8b6cnFw150CrUjeOa4y7aLeGe2OzKEFZKnzDl79MXeCtnO9Nm/pvyK7wpK41C88MajOYDLgnKk9s/jh1ZJa4H75PQOaNtATGZNJwsME500tA9YSmS9YnLENUDPgZwrsguOO76BCbLe/FB+qwjvI+NluT6epyzjXJrVwN82TPW/DAX65BGccep2Xnpj5l0cn8jU8VlW33w2SjPeD8VIJwHHkO6IfYDqIjzhea3zj3azRpmcZmb/5+zD5q+FWcvqq+Eq/yGOPL0iAdQ3Ir4L3MvbXa0P1n+Vwq8gmnwraRHukk94COdxK4KBDWM0gwrSQmA74Y4u+SK9i/Y1Dj5cnM3oi6tpKekVwCBsFQOHDXZKjBTL/iTsNU+2fe9bEXtPdp2nI6rSoeNT7oJHGweSfKGlOZLWRlw9EjeoJ4TjjnONRMl3zu+JTW/z23jMquP8t8C1WUjM+aP3fvG5HNxNYT8H7l629TcMO6x+H9s4+8EB4/dFHOsTFfpZfmKkQIFPaeyhmsKCRbYEHh+1wH9hVdx1knw00Wn7UIDl0TcuOAKQ8Adm82XSUYhxiA6iU6QpVaOPYyTaQ0K6bFcMbewr+5dqBwfIZ7QH7nfc+piocOAGuTDl8meZwcd+BDtdrt+c17UaNqCs1uh36CMtx5qxDWo00Bqgk1MPdOooNAGj9IvWtFaHKvUbIvzSyMbLht53D46rfc0Qhyb0RdW7eZ7xtNfNoeWTUf9ECXMlhdjSaPzVKXk8tFmjZ8ICNlhz+VL2wayMvIGSE+zqdtzBgXmhU/9vgZRaBPvUBzWWf30y6DtZIkM9Yq6+XgG66HO/cwnrckwywqxVUEpDI0lXooFDAitrFz/y+/c5ucJ3ByGGv+YMR8WiF/N95ww+DNVqD5S4VqKqXASOwYvbmwb9ugsuVkHnhHbBBGDVjVs8PREkSkQsYxjhBOZBb8hh0ixLkux39+yZChSD/FpsK1OQOAc7PCtKJpb7p3u69s3Dhw8mzoBE2EjBMHY14Lw335yBNf0bCVvdv61Xx4664hbTJTU+3pxNa77Ns2oPWOQ83GWC0ZRSBYUx/hzrOGA5Zg2anEYBJizdLEm4fejzHzi+Uw1JvT+mBN0YypaY4NJzMVhx4ZDApHm0wV74g1xLvlnZgjuFRObycNGrF6HKVeyGpD5tzPnQAvWYprMVL3CadslY9aif4Hc/zJ2GuyXV9vGGdYVQK/LP1kIK4gNrbJsl6FRY2QGpwwNjIfmc11cw33H9gU7tgzqvv77MGLcoyOnJ7W5NZ2lbpW99csjUAilQq5Hg8EDBNOwMO6dxaaFY8tvQgdU6tdL6FJ2oMHUcqtM/GqLrqza9tAGOyxxAb6Mz69GN76yr3K1hL4+jvDnuKw8mIKGTiva0oAwYdvI9nN3rHOWcNTs0YGi55i20l6oLe7twxId1jTSXw1a3Cx5NN+lyZnko13+CfMR4dPTzUoY73XYMnuGsyLaa/nJ6z6mM9ZkG2NlmX9l0ACqIvDCk23bHgPByJI5zuC1qT5dyE8dXQiFHJzChyApPGceB7pSlr2mfvB1mDrNdAqUpyq+lYsh768JYHEcMVJ4yRKPNeV9nGHWMr2eM9RG0mmSX22Esd2koFOsubYCe6nmLdgiAFF9HfxlO/YM6w9lYZ4nhn3cq34R+rxvySp8MO6DZcbRFAYFp6PrmUhk5VmUyQDiePtEIwVl3OEMLRb87aZx3HRkafapyxiJASbiE1UCMrz/MnpsHdrn8ErOpxIqYEYOKur4NlN8o9WI9UTik+5CcJ+DGC8rFUfzwIYa3CjFLhnW7+c6fvv2CLD99lDF1UyBrZBtC0MKY6nyoF0zxvThUpeMWvJs+srpDV8BUPTL0orKz1jKC1ruBSIOHyjAR9IvEsZFg1UWJ556ETYYLxTnkyK+G7jwCBMvfN58wnRM8LrHBuGOL853IYJJlvoI8nF7pHPKLN/7NysntMr7tp2ySTIm00wupR8j52bDiP9hcaUSbi01fSl6aFAUoynGweSgTdgwWmmYrNgfeBclNgII5UYWT42/sWSOVBwiPOOWCuqgNTiECTgLUV7B16ClfMem43J/LjksuYsNnjw4897ogPCRmYTcaEQtNK0WHtCKozNLJqDWSPLbQN1cEbgKmfzxObcc8twmJjOCwvL9ZCZI9vIpqzMvBhg6srq49gQcCqLHRs3rcHKKgCwynzefTsbOHk+i/O1b/uA4GTumLTCjzrbSyeQGxeeiY9j1+TaemcO/CXXEINb4fXD9ZdGw24qrMh2cqMK7xpHlqQAXNvKMi+UljU6ApV4VWabElBQVvrkQzWCQ6sX1xE2lIZH7NLebaybhVCZo1+CiZBAftLSTYTeHN47a4CsKc4qOog+4ODbCHVbp1wD6xdmE+AuDv9UNSgmR3gNBiu0LDXi+6Gm1lZrCgbQUeBpmtga93H2FG/aZ41yTPVfxfVFVh0dVxNxnA6bNLP9fTllwcembG7CQrlq/SFAVkoVBfXoFRTD2PPfe+/zslkk9diHnDKw2mH7iChJY7JopRhU7wWKx8jQZHMx6trLLud4O4sK1cVto30KFEj0vOH+XapwkPyhqvj44XHDzydY2K6VVCPUlB6BjTbdcsM63xghNkUMBUZpKQtsZV3r5DbohFNrtRI50iuUZq0T3xaxd0+DIxPeODJx+Exkh0OwCOnSRgH6C5RxLz9VinKvZevh3l6aHEn5qN3gDhwAV1iyAHfuGQnHzs+Gc5OGkZNjuRpSfjGKpEI2lRYHK1E0Gz78zJ966pxG/XJtPHdVHIKVM23CZEXGAGfLx6vzbnwKJlP4qrWUutpp2jl4YkoZUIwPmD5v0nRJ3nM7A+I8q60yDa0CL3fiCVQWahaohETms1n4tUNPXGjwEUVbva5M7r4dg7oPNkFl0HHWyUaM9oU3vny3sN43kySZhRgYBOwDYRgVjiHGf/torzZEhjfZaHiyZmVR65m+FlTyxokGmkTTEo6yBujE4SCMXKd8zqbPOgbKA9SDtcK7gr9Zk0vltNoQJn/fOLu+GVGqPn1xXtexY7QvbB0phKPn5vQe0V/ON9ifU7Zbg6BSIRw7N6ONG+jJ5ExJ18LGzEbHffH6qXW5Q8FYbjKUZJ/e+Ird4Y8/eFgNv6wBx6+mBb+yyoD6DHpzWidD/Ux5rWoNpWpMbc2Fl966SY6307Hp+6mU4AY8M4Ka5kmSVv2ypm+cqk6hNrxPnB3uiWsbgYdezcQ1BS1qSI6DhVYjBCarmch7LQRn6FX3bF93TkFzVTcp3uhIppk9Bnu8abTXMtTA9XqN2tPGtsc1XoQju0cDdzTVMg29nnF1K9Ab7g17tw6EydlF6RSONVUXnHKcbwJr4FdAwYBLYeOcUpDsO/BPvsc1AAdL7nf8V0FoTHb4uhU0Cdz0gjn5OM/ogUGpbC9gT9PfY+/PxMyiZeSTMED2wAVodGvWkK35Heakc22aBTFfCnPztTAjKuFKGMchT6XC8GBemXOuib2N6+HYgnbN2gyQTsVZmSy7b+QNoh5tAVsxqJrBOXNgpvPQOnbg5cf2IwgBeEfcuw2vM1KATz19Ljz83Hm9Y6Sd37DWkk6nhMdfqbH5ZpUN6XyTzcAwsOFbo5tBBOp1o7FDoYST7GD9eVNFs4itgayTZ0LJmGbCMpo8b+bzsrhnBlBqHGOiczJJKykyDjaGEcNGZsLHpXuEnMsYPV6zcHzhlnOGfcOYkiWhHMjFQR3GtXXaxKHmxjINKlXh3jBuW4f7VOLmeZKxdoNOExBcwm94+e4wenhMmTiyKTR7kCHBOPoz4T3gsHNfXJtF7r0yeOKIrSy/yHoHTgObBmPgF4s1K48nJNnsRoOZ7/9ehk70UHYkyXcHxtypD7l+yqPgDclQITQ0sZG89VV7wraRm2vUbpJZSMDkulGP8ah5j2wKMNXgnJM5c0cTB51Aic/wc2G3C7ZeVeaNFaQkPAAMq8GKaiGfN/w/DjSfBX9qTbpGQWYMNAyhsPfL8T34ErwDuxDpw86OLyqrNh+13ji9U4JFORQGRxrHWYw2saFLPRWDltXn/dLHILaWiG0nU/2lr7s1DBRyWu9iPSJ7KEiMgc/FtCN9TisoQxfUxJzNhHKuFnZt7g9vfGCXRoFTvWvezMD53ndgi56NDwQzGIz1aDSqMh2sbYeqaV6BsvFQgpJJTIfF2aKSAEhyXH2nksTZr3bYyFoK9pQAar1XdZvFGx1Z7W5Xd3pD+wL0m9ar43At1iPBJHAlqnI47zs29Tc4u9Hrp4+Oy3km0SL62ErdqpGLZN8HhMMmoH3V3duUQffGTwJkAgV0UENyKlbl9MZ1Z9exfhlbd4aLtusi8MWhhuawOrMo3fO1g0PtezOVYdaRpsNGFiKHlAleFvWLNY3zS5BMRl7NpJqOS0V4QY4vQdnIYN6C6BrVKaO6ZPgXGXWuD31YjJjqdtJAQSZ7zGP/VyqdDnngaTSFNu3dycqb0dJ2Rsrgn+F+rPJmEzs//OhJ09uSJe6ohJxVEHJ9GiDr9Xo4c3Guy3ayUSSZCSIKJHom6yOGilnDaKL+TNZaSVaChWhiVSU2RaXJOOT1d3Cp8Jq26oTG4NvIc9u4jbvYmxNaN4ApMxwxqhhAHBi7tnj0NnQlPtERY6dpY0BNgN5ETN7VNJyi2GCWgQaQxbKo27J9GFoyimQhcWze8MCu8IFHTqrrns/I8Y6XrQlqEfeHe8BGgQNHdtSaOc2JwKEyekb7XDtiEPajWt0w2YUq0JhUmE8MFmwwTODPiwouhFSiccyb8Nq980bZsN4GGuSZjHpQY8vE7KIcMZwtHEmunymPpy/MhXNj88JrDg+vPwdgJWYhAsXhod5w6tx0eOzgRT2vO/aMhFt3DMkBf+LIuJ49WV2yZzgLCNluAiWyStmM4VA1dp5JpJVqOHVxXpshWW30gHX31JExbeg49DxfNhuG1Nj6XnJAjamEaX5W82bwDzaCc28b7RF+lCw7DopPqhT/e2TrwXnmHY5PM93OGse8gZYAgPXJ9QKZGZ8uaf27c37/gc3hLa/cq0w1fSEEhrfvHlGQooFDEQNP9tGoLIF2VNQPMDdfDtMLZcFseK5gNR87PCa9bm6uU9/Jhdk4YKiiQIbrItjlfnA0CEY7EYeWKaGQtWwqgQHHxHEx6MlSALsaCkLsnDebalQ5NrjDoUdrKQ6hWc9VXd5vsxD88fvtm/saCSicbyqK7IWCf0R7yrF4ty4kUIDiuO3l905QQFMnAa0PZmFdqIJ1YS48ePdWDcTxtejikDu+y38Hew3aIX7/Jg77TAx20Ukm/uLQe2YfBxhboaqNwC/mbFtAnVI1xm2ycV6TkKqFehmWD5o/LbDfNGzTNgkExOSiAUKZkIoXo6A1C+1iRU4q69MbUr2KjI3RnhWnumkfidDSBvTFqzpxv1Eg68wuLLl4Pt1ek/LwLOTwM7U0BierEVUBYkX69t1DGlDEtdB34zAQDSUTvj5cc6nWgoKw+UjRu5FkQzrfCIaAxhOcOejLWMMYLLKQKCJYMpV/VrD6vvBbjTpm4eKsodwsZijVOO4tQz3CimFskodmQ8YZZVOjAYN41pV1JfgEkez5qUVRQXFBTtqvrFMc6cj1yRYkHEc2ea4Nh5/PUxr0Ep9zu16NqCy4WAk9ov2zDm5rGCPbF0KuWg+PHx4L9x3YrPfwkcdPqSTuI+wN+2bY6GptibWEzQFHCgOUTlnZHejBVK20lO1rcfGCAeWsEcyd4IECI8yZRho515NfSzRq+s99/HArSfJ1O1/r8vd0qQPCuyvWKtpMwBEixy/MhIeePa8Mp2AEB7aEN79it2AP61GSGFQ2eWWCg5dqrdRKSRjeXjZejY2PmVuw2MouC76QUgaOgJk/OKM8PxxJGsPI1FC5gVWIz1JN4eCstzKYboIzXZHBjZynnabfctWyVmzI5XIxjo+2xkH+nJw3RgmcC5wXPmcNxfWAu8C9ubMzkDI+cSA0rBegL8PwEIuSkEbITLht55AYXMBfv+MNB8SkkHScWNt37B0RdaYqYXEqIA4Bjg/2gyoX2M1bdg6FMxdmFZTgKHlGMtlch61zOALldI6pYDdG7gqKaai7HD9x8r0G4DtZOUNg0IvxnmkWbaFGHcsypytYlq5OA2TFkwyWzOikYfRqBNt77Ox02Lf9xeXgvpqqLu8lKclGR6BYyQQUawcHHPw3e99tO7Phc+/bJTgUGey/+RTwkGp47sRkYwIt+uSDqcj0GpwyZoRjRQ9b/Zp7tmutNgvrnTUI1IGKpkbUL4IPB9O8fH9kTyQzSqBJkIoe9BrhSqIXB8vCBGTbN5Xtdg79hB3nuDjM9CNRRT12jiRZVRUrYGMEzxxfjnrEjntTpO0jVpGqQpjArIoEXa0zGDVgiX7OFvsG12zV7kthYM7M5f/2T5CLoNq1cAWA7KWZAIaln5wrym5gz2wwHFX3jBIGwP28AnGtZXqe4MeShhtJNqzzjbApsRmh/ONz5fCBh44pU9bfm5cB6pSF0dcojoMUShO2mFiYC/t3DGmjMyYVm8hHOoimOjLgwjiLbcRSo5TLyCLlc0vdzyshoWT45FxUZcBgjwC3TZYOJfWhOVZqrgeGSdHNjWPnlGXcc7FMIxdlb2Afdmw2O4daXKlwD8oiZlPKCnrW0UYXV8Jjh8bCV7/1jvCP3nh7OD+xGJ48PKbP4Y7wPWdNSUJCNASiXFUTXXm6qn97ksC5YZPi31NUz38jVg7HzJq7GNIRy5CJDDeWEceeioBnKv1ZNGfzvKHF4UTNl9HqEaoXoMXPycGq9Fuqho8+djo8e3Q8vOPzD2iq23qTZgwqDuSzxyeV3bdibyoslGaVVcPR1TTRSEUmBpz5imAmYo0Ra4I5xWSfCN4QDa6q1bWZ8pyPn50JR05PxdJ5AmbFeynBNmMaRaZNg3BwuiMMS85dXCsXphbkUHrjJNcGo0mW6ZsLpiSqUsWsH84ETkipXJYTQzacANSZINRYlU6FQ6em5CC97qU7G453s+O0M29OrWUPwcIatnrnpl4FMZNz1qBGpo01x888E+jXQsXho0+cDp/zkh1haoahKLWwOZfRObg+WIe4Xuc+9zW6RJFJ4Nv6vXLVzNhBRym5i2t5jTEi2ELed7lsx2Ud8J4akIH4uWvlhH/62fNyQNcTFjVZ1aVfYee2tBxcAnwcb2905HPJBBQ66j05MH74mHfksxrzbjhhTanU5Na6qjOsKafAM9pWGxqF/h4leNk2aCwqLYT1ztRJBtYIdz4Dw5exjWlqaSLA4gjo6hse2B0++JmTcvpnFqiCGfRLVIbR6XUbHvsGlyfKfHx7ZMXCjtzmNMAXZ8OZ8Tk5yu5467vx/OzTgo6psds4zt1BTa6QVn6D/0hZ+XiN9I5wMUBHln228X+Jf/v7TRtERP0gq9iYcS+Mwcl626i8Qnvs9pHZEDwXoJGesPNnmBS/T1EKixHl6rWvoh6RbuZ7wwlGCDq3O2/dEgYKmfDpp8+FQ6cmbUIewzNWQ1zfmN5HWTwrp5DNG2UBDsKGRmTNpokDXC7HaY1y9pjUZ8bLeatpKJlPlHDbiTvwgpAUcuHVdw+FTz59zrJxMk6WRXY4hUahU+6LDgTX5xFossmJvTTZMGjls9ZZ3HaijHfEvyv7XouNoDTHFTKWyYx4LzK8zx2fCDUN3cExbcoIKBiA59WyizR0EqEvlOKApBYDTfQ9Zf4jpi9OSgPqwN8Pn5oM56uLulk31tgfS8BSvu8N58YXda04Quqk56AR7uP+hsN/DGbU4cNp+bziOG8fNpS2LM1ffmxpqtt6xaDieIMdJdgVj683rJZDePKF8XBg93DMqBmkgc0fJ9G4qU03qBCRoXJHlmMCEwHiNPvCeDh0cioOsLg0M+rFIDYMegxsQJKNw0aco55ALEfmxxuwWAtxeBLH5dqTx3a6LwsaLBOWamTccFQIcOP6BFO6UAm1i3PhI4+dDm98YLcSAOgAz4rmU1gWyEaCEz9yZkrv34JDy76l04vinqZi8OSRhXAH8JsmBxHdRj+wN5T+sQNUV3CugOaAxeV+ccDFfVwzW+dMPmp61MlML1wcQ4t9YzgQEwTR5WsBC1HmMjp35rTECbo+UTHqyWoHk3QqOKvrEYvqTvVnD5nTPDNXkuN6y87BS+AfnoDy9Zcc846gZ0ATfDiarw/hiSKrjffmuU7qvdQIQutqomSaZHKKpQvneOD2zeHJI2N61pwf3UeHbPS6jXo3Ks+09orp2aIgV+ytYNBZ41oPmiRrgSjf4bsachWrvQ4VI0Ans4uDT0ArqGUB3nIy6nMGCW1qcuTf2AhPrqAb8yVLHCTFK+WdQkEcvtXM3d3u654ld5a0TkVJB+3ZEQNWvZRC2Pe0Bja8XdAdq/mjQ4UwMV1UouGqpU5Cbf1BvK5WNrzznZwEhiK8+t5t2sz+8mNHlc3BmLD5r8T77dG0N3KJHzRtmwbldc9so/ByGOaM3qjROEGUvWCUTttGesWteuT0pBgSHLK9kj4LTkJmtl5XlozhArAekM0wo1YzSsPI58pGXXJMY8R3O5tHUkT5lMj0Ou58tXOkxVpRs4qAuSQwINTC5p6C/nvs7Iw+R1UAh8gyJZcaMTV1gqGNg0PEAZ0zzm3eXbtStAUdlnHHWQejC/4WZwROc6gAL8lUy++oy+HW0BzgA/3ghiM2L+IeyZI0Gyyacq5mNqnjkDlen4YVGezg40+eUYVgPWXiHEpBgAdcgowVgZ/3yXopF9gCPL9sjgQ4aqyiDEr2NUZFwmky4GKxJD1xSr6+gjm9okYrx+CojfiayuWyDfw069qaFG2T9Q1RGbhFa8C292Hc/D5lNXke1qJnz5Xxjvj0ZiYj7s97M545Oh4mZxbVjObNw3KOe3Mhl8tIl2n88oBOg6nAa1+sCGu+Y3OvmE6a+cg9yOHZcU6gA+gJFTgGmAgKRxVBiQJox4wH2h2YsxOLypR6Q3jzvfI6uD9N2gSkukp70KmILk6OlE3PRMDaosfoA/emPp04CTgfqSDXKhDIi5t6HTsFCUrM5mxqp4JTTgBM5Yp3Ts+O1oke8nI7pApU1CHXM9b0uz9x1ChnWyQO7tm/Kbz0wKbw6PM2WMegkVZponJbimligsOZYi381SePhVt3DIZp4BKRpSQXE2XYcuw8a8aSIZa8MN+cYxp/ucMOCaYJ5NFzbBOsG8mJsZdkraMeKkFTrQtSCb/9Ej7bMuMdvpqWlaWVvp2c5topIGQZbBxqZDnw7a+pkyMSeEMKgU1ZC0mng8FmN5hseOfbJ4FdnCbLsaCFCl/v0EBe43CHh3ukUD5RrpX4gAjLFlVCNZbN2JBxIMgygS3DiBlLgWXy4MLGyGA8nGElRLzqzLx1brMBaAz6Ckrt52cjxkhilDCU4EG3jZZFK8WNkYHDQXGsLTckh1iOux3Lq1mWBTPsNSVGFMQifWtUW1WySRzY5qhyPitV2n8JED7y+OkwcBAYDJj3JSYFpNXGr7JbnNutEcFktJXNb1+6suYjuwM2AuiZMLjOzNBcooO+kczJyQvzGs1ciY44GURneGBNiC0CnF90/O35Xf3ub9D1JeJy7pG1ut4ycQ6leOLImAJc1qYy284l7cGdRrzj0NmgDJxRpwYUn218FmS10SvWNGuAARm+Tp1LvZUkS9H8gww6WT9K3jiaOHcUaGo05dbScvI475nyfMx214SzTFJMJo/NZwgaNF0vcoajI70FAkPn4bbPAJvp783q7wdPTmu4xx17h2V3CIqxEUDCPKB3PTU6Qw8CYBUyKAC6Tta9wR5AUFIGE2swDQJ/VVTi5s3zA7KlKbDzNpyKjPtrX7IjPH4YJ6gezsoxuPR54nsZi5MxR/BacEIWrwEvoGXZmS5oQQvXTXVOQ7ZykYZVtIQWjKuJPBPC3CpG3K8kQwOFm2LIzrbhHtk5stCsLe8D8M82w06SzbpeucJxBkZCxpl1JT7wRFLIpixaVjbZlI5DDsQBSsEved3+S5ouCS49g6zAt2F/obo1RiDBzYBiZi04JBNPVZgA0ilD0Qvvl2A9oNPGE279DKIVjFM2cbqNZpbm/FoYyufl+Lvj3GqrTcJXOKbN7LAMuh9n9cPCO49aLRC+sn3F+8AcGnk1Iju3WBLFpDgf10AGevNhx5b12dN0NbKhnW83UmRAK/VamGUiXbkmI2U4yLpKvmxunaiJbbg2PCOTymrTyPflwvbRHnVjbx3tDc8enYjl06DsF+fDIXbKNTYX41C1jXIlp7tZOC6luGEmRg0WNJgDh4crd7yyNZJQEoxDOeKUMMPYxgPFLmpRTdFQVTCsLbzjYE05HljcTp6H/uvUbTo2HeNmTHGkgPzQ1ITTQQachhvLXNjQoOSD97/OLlrGPpu1e/Z7WUl8aAlOM060U2G1GqREZgD6OX/0GK9cOiPu4gaVYzZSNMZhEhgkeJ2haKR06cN2rkSS2HLzOW1j4e/rLROn0vIdW8Innz4rPCFOdrqpzOIVFh/zDuyKRUNQ6M23OJFOjcd6Yr2gIzbemiE8l45fToo7sh4YoXvbRmwz5p368R3W5PzB6HA1Bowr7a1cJccoN+E3VQVLGV7dNmmCuJLWIX0l1vtQDodPwSZR0FoiMw1ziSZkxsmb7jBwkYZ7JytbCYWU4cKp5uAQ+dhu4c/h3gZLX8gIjsOBgMQJPqUGpyV6NT533+2blSQgO3hhcl6l6maxTF0CwJoYaLXWUm800tno7ze9fE946NlzSk44KxPsNb15Gtrz1rgVoXRXK+g3VYGbdcgOUJPkgJt2zbrJJmDgHoxdN4fXMsweFxuzTwzWIgTQ1pZVJlnLfl4Ehounj04IT863mAvBOHpgYFa9MNYQvo+zjx4VIksQQZcnOrJxlLzNhDB7QXC7f8egZgOgD0owxWtkbRurl8EReVbszUriyEEnSDXoYXuoSE3VJPSJAIdAmsZ9rpnMe6csIZ1myRG/to7Gx8cm6Ol5SCPS6lsyBhmrDl+tzImkwJiZrrbolQoh7N9pDcAbTTas8+1GCkw2GSj8PMopvYWUnDKm6BmZ/VJW2GXFBRf9RS9Dk2E7fn4uZNLzUgoMF0YAvKaaIMFQJyYxk9XKpG2kNpH1avCMGBimXbG5kuGga5vsoTsVYgOJN+BHpWGskHMHZ3lXuJfE4FomK0mmCyMAZtQaAlfedJUtj7gZfC01UcaGVK6B4+7dNmjjxAtZGeaj52aEIcWgsan7cCJvgFGZOZbr3JFKDgxqdQ2YCD5LBsQhG2w87ki3eIXLHC0+NUx5M01zoLGl8C7ZsBiigqHDaZkYLKr5FWfqyOmZKy5/Jx0c8JpkV6DWwilcj5k4IB1MO2VNAi8RNjNuFIhnwK0YY2WckX6DRvC+2Lh9dDobvNiF6gSGRm1G4OPUgJWmrGejKa/REGbCe3zq+LhBF+J5CfgAiRrXvjUx88wrtXKortBYVF9hKIXWKSXvCCXy+/EAizJwLToHwNv4HSKOX1XSLHJw56InH+JzMUeHDDnX6IwV6AzXzedZo3AysyaxO95krObKeiROjs2V2EGqKohNW2WyZvmS+rbrYBIKp3e5ilJ4p8JpjJbRGko/7/6d4XX37QhHTk7JxgHLI2D/zPPnI0tGSlnxqfmSVdiuohlssCcX7r99y7qCeK1myA57Q5KFqLlZ1530L3rNPgWEOMbAvwj4pKPRfns2GQQCEAynqTVsdD3UCbhJXqUs2fXUC+PhoWfOhUMnJ4XXxumliRnIIc2Z8NB7BYvgO5c32kPWPOt3cpaJyPUGJIjADPtYqKeUlCFRRhYbJiGCfgaycc1cC4GFRspHIXHLHrZYWowsJqaHefSkRaVb1bMI2yBJQFCriqcGXBmMrdRm4E0rn6FTx5UeqZSTFkTmsHbCNdMbBCXkC6enFYCbRTX4FlN6cZ6vVhQg0RPX4RTudpLPpcMbX75n3enZWsiGdb7dSLHJYjxGh3sEEfHmSCMSa60d7daaouLoueEEs5wwLOIdrta0uVLmtSmakOnHLHPTcSgpu3OymsXtH8MoPXN8wmAZjYYT+y1qZwCMJSdzqXTXhHVTxJ1WqVH8r2SZehiCYPi5lZxvHHrPrJkDnRwTnBJXN443m6ULAUdfIRumK9AfWdadLIWNCF4yVXKiIgaW67CMRhvIiTLu9WVQjjv2DGnTTjI8rCTcZ7UKBV3EnqaCnO1//IYDYsbJ59Oa4olzySbyzLGI010DfmJNeYsOFfCl9ZaJ8/VIgLJjU6+gErwDfxfJjcSySj5Cuq6Je6w1DdKJVSD91zlxYzVDg5bimxQEIpGJbX78zu1t2NSltaHfMeUxZ/hRnFEyaPDflqsz0t9OmLfkTDf3D8Q1y8ZnVIWRWSX+nudAwA+0gk2dUJiGJgJ4D2DtWZkDASmjBgYxYXCkN7zmJTvDiXMzjUmpfHaoN9/QL3f2+TM+DaOE2SWbOEgm0fi5j52fCWcuzouJRv0TbdZuAg3VELdlay1ks8mK3XvrJl0XjuHte0camzVjzYGPnbo4K0eO9cF7vRrmFdbHK+7cEu7ZPxpu1iE7zBFgvdDUa03Ctp6o+CSd9MnpoiAnn3jqrLLIYHN7cLrLVb0b9FrVWzm4lzYq1iKvNvAu7DsN9TYMx2CIltGtqjdqcaAgHWC9UjlkDWqAFnuomIOsCuTJFvTMGjKpftpGZ1Mx6+H5E1Ph/ts3ywmn6Zj+iySBQrLfhKViGGyzS9iZZZn8hGBq2MtYJJsHe1TppOJJcgr2knY9Wq1WYycrlH0Umsb5+Mx4Niv1gfE79laSHSIXyKbF5nJmbEEBqlURmNp79RnwZBHsSiQFd3x/fhmX/EaSDet8Y6TYqHC2ifYR+IIvTJCRvrTj+XLSyLBR2olfBNPtU6tQBMbyjk/HITLR0Vhpv2pkma5AiOoFI2nBTNJqUE8LPn/JwmLZAoAUhjkTS3S1MD3fPuq15sxU6C/YKGzLEOe0yQMTwIG9fc+IDFxSeA+Q/3t1ABEVoLCANTXQcFyeIxssVFFkAy7n4C41/1R1/Z5JRDp1kNXsGYdHsLnR6U35865bBlRCZfOgdA9XOdkQp7+7WgGhIZjPQlmwgPWYIcBhYuPdvqk/XJwsatBUu82DnzH0An3hvRMc43By21oTMStm2H8bQCOmDjmoTpHXPqjyLBDPFefTqh+pxnGcrxihwiMsa7WuIVnG0tJEKxb/603LsZWigTFfCn7NAU9mixuMQtijclVVKmNeMTozZ17RQJ962njIhSeHLjEtmjYaT3EwXnbbJiUU0DEcJTKbsFMg6lNgeNAsdIPGWmGY8siNXM/IgfjkU+dCpVwJY5HyjawzWbJ2zzKpO9iylcr1q6UFlD2KzW3Y6Pc/clKVqyQmGfngI6eE75WjFnX6arUO3X39A7vXra51MmSHJ8wQN+AlOMPOJEOiiOeLU42TzvATGnWBMVb6c+orWlAlChx+QVUtRqofPDkZxqatapPcR0wPbNjUVNH0GCeV7y3UY1Y27pEcm+QFuoYzW6uVdD00VKPr2kNDVna8WCrbZNa6NS760Cea5Hl/2JAnDo+pmsqkUvblucV6mKstb3KUI57Yxzw4bwf3dP32niW3TQoAFMCYffEeoMtJsvp3ye/SNG8zScCSAtU2PSfJa0MuTC6qf8T6Q3geaSU+To+ZPV2pUnw9JZdNqaL72KGL6gVYj/p2NbJhnW+MFC/bmkzqIu6ng7pdNIm0ywQ1mhOjc8YGjrOB4UBp6MLG2WOTSHKHriS+kV15SccyQM3XuZJT0koflzZTG++uJkM9N+PMxnrwH00KY0Qtjk8sZePo8nm+B2aTK8DpJgvBJuBBT+P6yIhv6hV/LOegrMlzY3OAe1zlSJUzl5p7oGJkU24nSaPGteRz1fDJJ89ZOW5Vz9awfAxjAAfMcdlw7r9jSyPbhGFUeb8nG+bU8HNl5b1I+d7I0PRCPVmvh4U2Jc0bXZL81bftHtQUy5XiEp4zVSgybeiMMKRxl2KNqAmPzY7G4kXjA3dearJxK4nRluEQQGMGD75luo1dxTJN1qBoY7fBuLL+ShUjiAfT6Q5Fc+ZetKFuK5bpztLPWglfIdAoJxqGSxWjBeR6F5gH4BNS49qnRA4OfN+OIU23JIvojbg8n/c9fEKYVx+kxTPiPsjmJ6cDshmTbefgBxmgQsBTrohtxYKS1g61s6/4ElevOHh09Zdcen/JQKT5d/ZeE2PlYxBD1Y2nRrbv+LlZBRhkdFlHBCo8H/Df9s5jf8BVTudF+D77ATCI9SathuzwONATnFbeNc29PO+LkzQ0E4wZxMurs+gdzpBYihYrypDzb2zcicpsqFQN883awfqTUKGXgH3Oq8XOjpWNx22sIWdgofoVe0J8OBrBL3sIeO3zkxZI4oRzDka6s4eQ3GDdiYUqZQkVd7wNspmSAw8EhLVM/xbn8X+7TW2GFiaTVuiVc5M3mMwEe1taHwT49IqhV6xJo7zFTthNxkGtlxWzR6lQb+Gsg9UmacV0XU0dpe9kpWPFqjbJjedPTMZBZZXw6KExrQVBFvXMrs/wnJUkFa8Xm8Tcg/VGJLAWsmGdb4yUMMZnp5XxZoNr65gm+K5bfcaiXWPUsGi81pjIhQJRAmND67QUKiUiW9U05asTWSple9PLktG42liX42AM/Tw2fdCYHLg3BobkeowFhBLhQG9NWDhgPDiqt+8e1sCPTzx5VkaRjARGwR0BDDKGgamXGHwa0nDSETlHKhumlAEv1TD81hRa7NDJ5foJBK5kcJfjsIXhTdfD5mE4oksyGp5tYrOwjGEsP16BiOc6Bi9ySGqMVs+FuXmDBqxHSQ7+GJuparNqpu70taoAJ9JwGVdvLWaf4zCLyGc/MmDZME2ijZRzrCWcDOO1tQbI1tdjUzMd/oKQqeLzOLJcL5sCjooaPKNzrPPHY7Tj87WGJzbizhaZl72bxRvEenJZYZg9427QGKNFnC+WxWgkx6VJu3l28J8DHeCLohqVo2AVGQ3mqlQVCPMMqNr4gCD2ZrDz7jC3qg4l+Z0pZWP7eEckH4DN8P7cETO2pjb3r2bStDL8cKOLozlmuHHPNKRL1ZBKOHxqKty5d1RBEYEF9xfic5AtuMqBYEl58si4bNV6y8Y1D9kZ6K+E05qAaokT1s72TT1qgFaFR0w69h54h4OZtDLiBDvQ7gL5UFNymcmq0/ovesZ7gjJXLCmy/cbvzWKzCYmxtweJzdMI/88xZEc1DdOSOPy3poFwlsjgfVOh0d+BrZVZWzTMZ3R9rBmu1xvQ5YAzsTY2a7O+vYJFJt0ga0uzBdoJa4isebLhPZ3QUQXd8R9WPU2HepbPWVUqeZxOREF6ZCJptif0fVDBkq5F5pfLiewCtKWRxCHDxOpyVVWFuQV8EMPJgwpdiT75Wks92lTsrMbLd4fsbBxBUV/3sh3hoafPmeNd74D2iuEwicYqh2o4pyhGhCYgjBljq8EzQbMENGKgt0d4yzrNgstJPFoKzQxXIo4Vx/BhIDGKYgdpcT9ecvNSm5fAyQay6bWDBvh5MAYOD1GDl6oJMcMVy8UYRwxjtp7RtM/HDxnlHOOxaXoEkgKW2SoENoGNLnuom37nb5/T58jygemD2WCgzxysVpzeKz1T+93S2N/LfX4l4dGwZsjIcX+7tvYr20SAwf07dlCNgau2b9b4R5ZDGRVgNYIQWTPZehUf/PHhx06HY2dmQjG1VHkgeGXN1ZzBJoHr1khxZaetvNuXz8pRtGE8VvXAYWZkO+8CB4GKCmuJDVyOXQyc5IxHTAjnIrtOZs54f+MwFzYv+gxqtVDTZg5rgLESJSUWfcw5XZbVtZKuVUeaBmgkR0avhNtUJcloNxfLxrS0HBNfF1Ug/QbHzkyHAzsGLmFwogJz194RfZ6NjQZvEgA0nM0s2NROgxqkxRQChIrnlbzPRt9CC65vxHou0mH31r7oTJkDxFAVBmV1YsKsQmDMJUYpZ6lGnCieO+/XWEWNFers+JyGMXFemJ3UPxNtwdU2fzWefwqseWndZuNc16BwJYgAOohtBguMM/3k4XFlUwnwzdGlwR1ueYNLkNHOpGvi0+5jomsmJegJawP7i+0F2iCigkhHKdgRutSAdpmOoaVN6MKYfY4WORHEsV4IBp94YTz0F7Lh7ltGlYXm3OjzzPxE2DRcELMPjiS4cB+Frob6bCYM9WXD+DTXZfMgsCsQKfQV6mKrSi4PUcfH4HDZ9SX+bZOWlyhKbY07zMzmVpAgsibmK3tf7bLw80WDdoZVBJVKXJTse+DnSTTUGUonR5veEus1o48Cm4Dza7YgXBfxBEItVvXFRgPjU9f53ljSm8uqsQlDdDlh3x7syYbNBWPhgC6MjUFwDTmq9VCswNUN3CKnxfzCGab5GX4Zp53oWKXZWHJbqfqjISSxIUTsJB0qn3NUy9GMDA6txsT64YwbN1IGxU0QQ9LOK01ucBaRx4mMiUY258HuLTCa3YZw0OzxvkdOiKKJzYGGEDeqOLE4sGTGfawx0TDlQ7q22SBomjGWGMvgtMMLtxNVJpoGCV3phk2D5QJjw+eKxisbs01MJqQczu8anfGrO7SNHhbjhv0RNWK1JjrG2/YMh/UsvNcvfPVeZXMOw9W7GJ9OxG46p3MlE/WDjZUmsByDkYzaS9hKxo5HRo5CuRZu2T4YhgcKIQfjRZxCafhvxtUbn74o+1QPt8yqaL7i0BqCHGVYU8aZbUxD0GuaM6BhHU3ry9ZOSpMyjUnFgmrpHNP54rRMz5L10acQm2d1yxyjBY2mmrQ1J8COpY00QjyQwd68jXWu1MKO/mw4eHwibBsuhG3DvWFkqNCSwQKYCcGLGocFWWHNGpsSJ2QTFuuLOJFhTLJzqaFNlZilIMIhPrwPsmnYQqNbA5taUyUCx6iTZIY/yGq0IQyxEsa8VldVSUE7tkyvDUYkJuJSDZtQtdIa9xLHW6OsN2+7IPjg+qL1TApVXaquO7C1vVnpC/pExcCqNpGWrzen4TLzU5Fyiwx4HAr32OFxDXxDt6jeGrsJTbuLxvHu7FXORiX4x5KDBa5b9KiUbZqkXVVKVRKC4r50A7o4NLBJ2VwYWOhveO3LdoSPPnZGNIU2gdaa8zV4bYHqo9kNDwa4RvZkmpqXVaRaON6IRqvHabLcQPOlUt0hGWQwD/b2JVra1fY2tPqOPz8jC1j9/sR31JcEDEjVPaOq1e8aQQJ9LD2hXl8ICwwSWyvluYwY17jZFFUU1CBdD/nC+mPxulrZ0M638MsxMu8IEVJPhbv2joYZeFPzWSk8ziAbL9kDFBwuVDbEUxdhdTBHish8sQg1Vv3yGVonwo+RIZ/LJcrxLb/jzCTqo/HBOIazK4nfpL1YM0cmLNC0Aqa6vd99ybW7s0BWBWkMWaDhhLJ/LFEKrzxp/MMYRBhfcJzg97xl+0A4O74gCAq0VkBX/N1wjC3DBX2P8/A9H+yxUqOk4+WT12qj31s8+Q5YSZLGEUeOyWvW5LP0SxzLL3jVvpDLnQoPP3veGGta4Fs7xQF6VcX5yQlK/NmsZ4HX/SW3bQmnzs/JcWOD5kYdOsKaYfPfuaVPVIJwfpNhY62Ix5rBVbHicnpsTn/HKUDIeFM5AYvJJsNzq1WAAZFFJnOaaKiCriybidlWMjDmpONUDvYVwsnzMzamPgZAgrLEYTtJR5SsMeX3OmXwOAwLh9sb2LTuIn4ZLVGD57JBHcunmuIYk7EiI4QDqu+KojAy3xAkVAlmmc5alO4RvIINpfGNqhLPOEkzx+8PnZpu/NuzdwpAYqBC9YHNoKcnF7Ia0mV24xKoXN0YCuBWJ7jBIWIWAkEKDjRwM57BSmANx9Hyec8sALPzqqJYjqBLhGousszA8YxTTNJDDBj5tJ6LQwvW0nUgKAHutB5pPV3I2tMEvnfbgLj1SRBB42fZa/pzqvpTZhIzARb2EkgT04JjVeT4uenwgUdq1gwnmtWygkGrisbKVEy0uF3mfcIGIhhXqIWy4B6ru3bWI4mNo2dmwktv26S1TGYe3nJ0gqTZV73ljvDS2zaHP/rgIU3NBSqyWLLKidxiKiJi0LJmCf47oB6kxWVN0s1i65L37lBKW2PAJ+uplFGlxjkdVimLgWkDlhJpFlexIJs/6l5CKg1FqWG9O5Hk/iIqwFpFATVCZtkTTbxLTWiOzGq8o+slOlUiUklHe1B6ESEwL5ZsaOebjY7GuI7dolRdjjfZJ8p6ZBeeOTqhCZlkA4qxKx8DZ4wcRmpfq9pG4rLSmVRmB8KSJ2tWUxYqwp7bX1YaB90cM+HCOpw8pcamyKigho7m0nqLrHCznvIZn6TnJSScJjKQlCjZMMmsKPvQkxVLCOViww1aUyrQE5p24O+l3Cx2jFx6qWtfdFJMrrOMmvdXwvjk19hwsslawJCSoBHE/hIAEZC0Eh9o1M4GNTISqaVMhzKUhawouxiqwzWzHj7//l1ygA6fmg6lKpzWkZ+8ozey/JxwwJOdYL2RofXGpHUP97pvV3j84AWtCxpflYkVFtR2sZF+KMd6tdHt3mJwHjZini/OZqps2H2qJzhqbE69gieklPHVEJmIe+TB4ySzJkFBViOGlJ+z7rZt6gsT04shk2YwRUaQBs57Ig6P0ejqmgWRBAI49j4V1ZxHc7j5HE4z65XqB59lTUzPEZybM4OTwueMsWRpYQFLA0oDzIL741ysfWV2a4Z9x3nybCXuRa1sFQDc3KFeCzroowCmxXPpKcBUZE12LzQmufqgrQaRakNsJLj9jGC8t1YPC56ljxU4/st5uEeUjooDOv3MsUmDlyUOuSKkLjorlim1AIS3U6aROwZW3HN5kdkCplswzxBE8F1o50TDyEjS0to7Dk7vSSVhvQrvQ9C1fDaUiuWl4UsF609hnYEDJ1PBikqljDEIHLVNaLVMOfCbnpmMHF/s9tScQZYEEQObrypS7FUBchUnzPAMff1ciWjK6vi8GvCh2kvSJHrTP/ATKqNUVVmfBNmsBnSA/SiTtnwu06vZl9C7BuShadf3gJB7scFWptuiBY0ml2oW4TD2yhJMjm3neYD5Xrma3akYlBUuc2dL60ySSURV5Nl30DH/tzeMVus2WBAK1+vndzfEqpwpvQsSYhAUsJduNNl4d5wQ8NgobqeUcESJZHsevGurvoPj/fCz5xosAjhdbNw+UWuoPxdqM7H5qAOfybNfGEB9PIEX4a+i3YsKk+TkJmuMEcJJmVm4/GAe30htRLA5zSr5g71NWebDJsg1N0YtTdnCADUmhpWXpotREWDUO4aQDZ1sid/61Lw9a85rDYUpZczIZmDIeL5sDPzB0SLbgZMFTZJNHL20XOiOdxKHp9HExmYnMahJa+qnJXzi0rNpx/CgIUZg+iMWCKaF9zx03DKrdXPmBImph3Dv/hE5jNORNhHnqd0glmbBuSCTeevuobBn+5Ccw/U4Wr5ZWCNkqcbnyro/1hPvXEM0BCMBl9onDPeRU9PCKB89M236mUoJrgJWkQrTLTsGNQTl0YMXxezg64kyNWwOTx6paG35+GcNnhjtFfbx8JlpOQ0Y/FMX5rQCuB747D978KKwsUYlxru0Ri8yvaz5zUP5cHaspjItmzlrfJCsGC5x3SghfdIkDVMapBWbaDXJVnoc9Ze1KkpOazoGm0qQ6KOv+S8OOw1TNiTDYDnAR9x54LkBm2NdYAfoo3jhjAWxXAu2R+xCcUF774pDxpqF+1msG4aV2IKeA2FqHZIGa5NG12fD6Yuz4cT5OQUnV5I8c4dAzbZMQoROjWZQmm21OdvYeFUwNNkQO5sJs7AfMewlZtjX2n+QrculxXG9XvXN6T15Tt4wzLPtjQEjv0NU/NAwJ6OlYy9D2A+oSIpdp1oLOzb3yynFNrFW1bgOB3+ElIgKNMMx1ub6Vb2tgvGfVyBrszEMx22wLBuSh9x/YIs+p/XOukgchMoanyUQJcmEsK6AOKHXPuyu0YvRNBHXp1AynVfPtZAN9+wb1e+ZFUHATBKoVrmylej7jeCGETISUSHSt9Xw1et6W1SqmnN3yjR3MBX6Wkkux9RTfAnWKRS0fdpDN5psvDuOgjPz94+djtMKlw/maCXexAiO2+ETRNhsUnfsGZHj7YMvMGxySis1MVWcGV8BMxIFW0gEKGUTrtUibmyl65Mak+LnPZvK4qXMjBFgc+8UQsNGrrI3SE0y9KEmiieeB/dFySq5oZqpxrG17CXOC8bYslSM5C6E3oKxPJDF1sYYDToODEGOR7xstDguGk+bqofxmZI1me3JKtOrEcdnZ2LGELz3bGRFaV/S82tVs5tw70tcptpgnK2iRTbfAwoPStwhaOZ652eaEuiDb6DuIhPaA/NGRQMkxEebsYmdjUbWOJ2wU/PMOrhlx1DYMtIXG4YyYVwDoKrrWt/YLBm2AY0b7x+YRF+PNSwhTGochDP41JScZAwynwGvrAmrkcHgdS/dqQEorEM1+E0zMMuad3HUWJvoRDo642TDOQ7n5Dj33jIabt05HJ58YUzrV41o+Ww4cWEuHDk9pXcKpEEbL70efbB5WKmWDWPzSI+NpGeS3rZBNVfz7nFWcK6BZQBZETRJ0R1OeiLAi5APqxplZVfQiV1besS3rcbsRkkfCAaMJDjx5kg46wG/H4YTGe7lYsWy871ZJRUG+xiIktc5xhONDsKzKmhevh49gJX9iZRsxoxiys93KN3jGLPBn7o4F06POSvLlTcv69wxC45ucQwqFtgUKhG37hzUtOELkfWhYTui/QLigK1dy4Yx3r0FOetX35xy8PT4Qtg6lI8DwqzCR2Bj/SSmKwQz1u9jgSEOJp8nkcRex1q+d/8m7XGi7BNUyZr03GaanVui8mM/YylFX/+KM8LnxxdkCzx4RZdZg8lJntha7AaY7iOnLVhnPy8WqZxUGr1ZDldUpS1twZ72aoLsZUxGS9OT3S6xFike0YdEckCD+QYLCthbNWN3qgue+PEk0HLoSL3j4xk1p9mslSpQHlh2wsYEIjBZdV+rQFeOfw12qlzYOtwr/2k9Do+7WtmQzrdHzWyOZLxSqVw4P7G4IrbKhnDYIACUedtojxwuFuShk1MNruD54hKLAIssC3agSVotYnP4UhqbC08n/ybLoIE/sRmsOaONoeSKT12YlfMguEViF2qnLL6xgyfTZp6K1E/VujB2TMSim/3sxLwN5ihb0wkDDELEnfogExtzjXEEEmI0UNq0IvtDNmEQLHOslFu4WFuU822jsMFwMibYHBHugWfAwCO+v9QQd3kKJ2/OajvioL40rldGMwHo5nlyn2y8vEvWQzLz4NPPwDPy/DYP5MPUvDmFNIM5Hph7LFUs463SWsSGw9oCE8rlhOzNiQuzymjeuntYGVSuZ71iUJ2Bg6mRZKjYzHkukzM2OIMslGBFixWNRK5Htg8yXmB80VObcFkTU8onnjqj7DfOORUSIGDos2jPZop6VjgLYFXhu+XnVFfYRJMZc4SAk7UAVGVyZlGDZSj3Ml1zoWi8xzYh0tYyzjLO+vQCAWNKWZw5/h7pIRV0xSz+EjY2Ar9jAMa6p5dh60ifrTH1Z1hVgDWpDF+sAJHt9bI3ukJFx6tMQDEIKqZmikvsMLHqJv2L+O5lU2t96E9sjks6rc3wNvRejjVMEjl6XGzabaMfOzpXEcZ+VYLuXJhaXGqGDax3y+TBIb17W7+y+k6RSDPhOI2CrKUavDdrl8fj/LyX9apvCPvFg3dvC7OPnRHlIDrG+qcJz+kqFVBRWaEqF6syNnzJHGn2E3QMqstPP3teuuG0gy6e8VZ2PSYxlLWOH9G+cYWtKux3YjlK22RGro1jA+2kVwi9JLM9Vy9HiKdNAoYPHFtxcdISQOxVmrKsJtBsOLDHoGVk75MDuZxW0/+u+4v9GsP9PcJ8syeTnEI3IWuAkhFcNTtOPrW0/64GLlJvbuaMz9Gv53KH8mvmnYsedIWYkcCr0yqVsxwlsezNVeIr1boq/k46pWdIP9N6h1NeiWxI59ujZjZRFBYl3rONwQQMELh0OSn7HB3IfLYuJwKngKYkDBLOJo44UTQbabFWa5RNcUiXNf7FLFIzBIF/Ebn7EBlEEAeyYmnDfDYrHJEjmFicv4VyRaO1F4rLj9lOuHZf7m4cMbJkNlIpwwSyueuzZB2dpzwaBE2fi38nczAxUwvzuUzYNlIItRkb1GDZA8u4NGfk3SD688bBInsI7aCqCDQG9Wb1mW2behPwlMtno+SwaOBRWrj55Hm5DgIVMhngzcBAGmuDTVLMY0h1g/Z9b7xB5EvFjYc1MQFLjn7FoAnLCC17p3K2yLrYAB6yl34NjqP1b/jr5XeCOMDTPFsMzx4bF73eXfvWZ3bAA110BswozpIGXEUoDhAKeODvuWVEDs/h09M2AS+fVQVF0I7YCIwjOVepaBIjI8X3bRsIO7f0i2YQbvg79wyra57mHTJ2ON5qWowT6WBtwPFmw/asmQVqQf9m42aaHps52Vay6MZZzTpdVCaZa+a6gES9/r6dwj3TrPz3j57WRpKKTsOJ8zOyATD+iE87DsoAM429oKlz7/ZBYcIfPzyuTCHHInvNfTJoCp5xnHCDn9CYSsBYVRMpTiqjweUkafCQQV04NnA3cN+sZ8/e+lpLOuSX9G9EW5CcC8Bfc3l41fPq10iyBdn7TVKXXJl4VpL78n6VXCEtCBJVDpoGwV//yYcOh08/c16OJDrKs8ThEyxpDcGrPs12PWO+EfaGL3v9beEDDx1TgsYqjdb/snf7gCpGk9OLCiJxQQk1BGmKTYQ4gmTFeUFUg0Z2D0kHpheKoVSywMyDvWRPk681dxyvtCrhWXVxXNfS4batAwoGnj85Jd2mrwPoh7FrmU0hgN88BCTS9AM4JkwpVIOkW7zXgYISHPRmCEdeXZpdsazaG+00jjpB+5e/8Y5QXCyFufmyGkL/9tMnlIX3pJD3THhVuuPsd+KDXpFyhrNlVKV+XekEN76madoe55DHlZ4na6DTITtOicz/tYRhJq9rlaxhdbHadDYF9GaVDel8+0RCNniVsfTvupgOzk0sLvtsA4cVdwijImNiHHRdVTmxmrIVM6pkvsSXq+YOy8AmHU8Wv45LxrgZ/lBdXsIVXjTimJvbQjVlq1SVU4Nx4joGeuK0n1WIZ7CU/ZsrhWeOjstYWnOTNWLiAPSmbNS0Z0008CYyVNABz0FwjDEeYoVobIb271aSDHT4yJmLOByLyi5S3uMZqmGN7H9kmuiEysmy33HqXsanlZmiq+GtWgv9Pb0qH5KJ5foINHBsCDq4N7DvA/2anqAqgDsINu7eYATVuuFi69Z/tpwf1mErGmJh/LkOvrO8ng1AoFGW+xTuMg500fTAiG0EhhAGgpzG9Zgd8ECXtWqwLOtp4H2iQz15C7zOjC2ETYP5xnCIcsWmoDrlXpKLttaARtXD4dMz4eNPnFUGeGlaXhB0g/eKg71n64AyfDgQH3jkZHjZbZuNmzfPACgG2NTkiPBf+hLYmDmXYFwxyEQ3CU5xznH8WJfve/hk2LO1P2we7hW/v0NICDBsGEnO7lW6UQ/D/dZYJMafBSo7C5ruRtDNqwXKgWOAw8Cz4bxbofRb9El/ho2vxVSXHO7FitgrsDvOO0+PBJNkYTggo//cCaj5rFmZZyaMa4t35VktMpnuoBsEwypUgo61+M5a7qA4cVSe9m7r1/t75hgBuY2evnPPSPjMcxdiw6wFHNjRtZ7YBwwRR209Y75dCPC+5HP3h/NUDUoEgUVBv6gisI/BoZ/JiBbLnMa0QQJ8wBcOLhlnkhSCHWbTYdNAT7g4DaOQrSMcWP4G0w0CWQj2URC/K3w12G6Nk89lNd0SGwH9rPG6R2Yu7Zm1kI4sVugbwTG6bFSDKSVynIVrkh6QXFqNyRxLo+ET50wuY/ZhGjpVIa1Uwyvv2aZneejYmM795AvjsgF6BmJIScsulGPaOcnjbymczu7ZMsK2T1FhtgDEYEIIXOzYGX5mPSdL/RbN22wSsur3J7aWVbyHTvSb9+1N1J2YAqM3TikBRiXrswcvqIK5Hve3q5EN6Xz7REKUD0zogd1D4QK4wol5LQp3HC1LYFlbH+qiTRm2i/kIQRALQcRxVqE3Y4xr1tgpMF7zJWuoaHDnJgBeTaKJzjEL4ec35zWyoMRNsYFJjuNZcWTY7KcTmPBOxO9P506nRIVIF7RPk1QDGUGEfy4e3J1hG3ltDrj4Wat1Oc9eflyt1GLmpVgqxYlkZlhGlIFMCdeuTF8capLE0PogBJu0ZtkdHC8UmkylRrLUrbHOSpN5NfDhvFCOpaOekjrvWfcP2wP4bZ++GY2gcUDHF8iEtja3mmQ48eCDr7H2bFKnrRfdYxyiw7UKrkD1pEyHPtmbfBjqzRkl3zoUNnwcTSpDbOI8+yU+ecN7s3ZPXpwNZ8dSoaTx5ksYzCU86fLj8l2CImBP4DenZ4sKhvicNm04gntzyjgvliaFKyTQBhuOsSezjLNr8KOqHFc1xkZGEKP4xbFbTt+FA8pGKyiUKj4EhzgGxTDUB5Skx4KzGFwg7hw61y4/L84bPpVng83xITUECGzq/Ju1ylepBgHHMWeB41JKr2rUNtUQ1q5P++S6RgcN744zglPO+l8szqw4nhr7wnNT4AlzRK/xInMfXGN1bm1x1e2E6+edA5XAeQKyhE0BHkSwTHWBDZuqEPZgNQ1pncq9t2ySI7WeMd9JYS14ELEnDIR79m9SUMz9wTj0lx89Yu+arcmIgGJ1MwZhMfFBcgbHFxvFHod+YNM2DRZi5Zbm5SW9dSzzlQjrPhegGDTmH/SUvYlzoxckyejDKASagW3vscFk6TCzWAmZUBUOXPCaOLyJkfXcszdvUmEjc+2CejpZgiZFRiIFnN0zF+fC//yLx8OZC7NyYEnaiBUmwQSk55FIvNizNzijjZ1fWQR5lFNqEC/Oz/Uf2DUUjp+fVfBgyTuzWfRDsV81GMcifM3P3VI1riIgaieR4KYjsebqSIdcrat6dTOQCVyJXBfiYLJ673znO8PrX//68MADD4Rv+qZvCidOQObVWsrlcvj5n//5xue/5mu+JjzzzDNr3ozCxonCsAD27RgM20Z6NRocJWQzAt/F78AiLxOUJGuNhsmmPJTA+Klr2vQYa5vJZMPmkV5xCOve4hjrpF7wvf5CRhs3DZTO9W0OrXeq23cbJeHY9KcxumzIcvBXZ+owNBg20QzGQRcoB06njd5m2IQxLPg1c4pKvA6j56s3lZKuXrM5Ihk7svk2pZPsTISvOJd5bPTi2jG4RnXlU9VMMFS8BwVaBExMrpsry8k+dHo6nL4wp00Hg052bRssF6Kisg0HI9vTYywaGCxxuzbgRJffWCxYs6ErXJPjtp1pQJ3o3ogXM7asOwZFkEUiyGEtsemQrelEbjRdE8QkZmnYyMiSsb4IGnnHNP4Y4wK9BEtlW98Ate6b+pV9c7MKi+kBtGboCuvAhmCV5YyS/QW+8dQLY3rvvAPK1nwGFhEx40ROeZW3NQzL2Q5a92bwjKG95D0Jw75AuRde5JkGBZsz3JgDX1t653FsNME5AQknQ7d41x6ksMly/Vq3VLc05TWjkjvP0u0B9w33PWPXqYDdsWdY8Bs1kEW9ZO3CRe5rtnnaoIsnnTz7hIND8PL/s/fnsZKmWXkv+sa45zHnoTKz5qGn6pme6GZqwMbmHmRdD5ercyyB7T8spCvh4Q/+sADbkkFCF+tiCwukY1t9uQewD+CDcQMNuOmmm56qu7qqa66c59zzGOPV71lrffFFZMTesTOzmtwkbykrc8eO+OIb3ne9a3jW84Sd2csGe6cjkgGcAfNDlHgVY1r54reupd/+3FlBl8hscn8ksOKBQ370muu9DO5V1ZMzO2G+77d1difO+ElgWzBNQPUGS1WxIBjl1DiwvIqge+w5q5sopJIxX9aaurZA82tH0TGEdpQgysNMdqBYdWRf3xGvGyS0riA7oIFicBFksaX5Cb2n6EcRyNpqKIBUcobGdSpRai41ViJzxP1n7LJoem2+BeQk1r1E8+pUtlmn9fTfPn82ff4bVxUUci7YCWwL91K0g6pedhzfyK9ZUm6450IQzvXgh0AvSyKPPRB78MjxGf2Og2Ij8pBN9jgqZlzbTvd8p3u922t7GTlTN/A7m95wjk3jOf9lCXTvO+f7l37pl9KnPvWp9DM/8zPp137t12S4fuzHfizVav2VJf/Fv/gX6b/8l/+S/tW/+lfpN3/zN9P8/LyM2+rq6j05n1AkxLEm+/TC2cX0/Gs3hYtD0rVTSouyS7ezLA7TbduwM+wusJOqiXbE5ouRoGTFJh1CGf2GcUaX0uoGDAkhztH95kFlYv6oIfIOmp7UDKnmScsGRGlfWbMRmBMqXjo3pbL890ZZ8rbuak9ZDrrWvQ7u3Y2lDWUmA7JDYyhfY864Z6bdGTd6qE62WVl6zzJTesdpYkPBaVGzG53x2zyjejpzdFqlxjBmzI/JkUoWYHBMCa949WFn/nSP8n2FEciRiScg494q0BHzSzwLZL4tg8TGwh9BNbzcT8MTGYL9ttYIdCkpyrkla0aDlzL7d0ZPx+iFa8WPCkBzJViariK45Nm/emFJwjxsmrxOEIAjgZy8NdN2ji0+7AH7gV4PmfpWW03GbP5sitBL8joODc60OdFw3iMW1JDU97WlTW021mdgDWzMFQWRzswgisB1azbFWSC7CLRGVJqi9CymucmqGHF4HUfjnY8dTO989KDOEUw8gSWOONdoVIYdc9+7PLl2U5Q0mBl/B/fugATaPR9ZL4RDSiIAo0JFMMwLOIfY1Hzzee88Iqa5U/tDQEYwQ5Vkpx6L+22d3enY8OCU/Yc5K+hb0SAbMToAwoBgtdP6psEtmZs8D9HEVpg7VsFj7PQMIsANZzfsZJ6KTgqv9YaCZpx+BZubdf2ROieqlhXUVkfFboS9BmI2M14VbIN1Ta8QMLIK4mgIWE3ZWpFtHy1LyZIkWsak5docoVbL/SH4YG0cOTCmvYHAUFhv0doCPw170b6tIREBMNir8kOJGNMW637dFXa5Vr4bGKwodp0OknOmEZxjWlUXJqayrl00nb4meterkokuCpRvKtW9LlPNtfUWg4RbnOedjJ32RoMK2RnS28QeuJ/JBO5r5xtj9Ku/+qvpJ37iJ9InPvGJ9NRTT6Vf+IVfSFevXk2f/vSnb3s/2QOM07/8l/9SWYJHH300/ezP/myqVqvpm9/85j07L5gQ2Kg02VdgOrFyGouLlSgHuGRZl/4sKA458U0fLNaZozPp/U8dTk+fnrMGEGJix4PhABCZSv7dF0I+4qYLnQUNhpGFwGLaKWuw1w2R8+DSAlPOEGZMancWGKDsJSfcrYc5tgYP6D12wFXyJawwYOIkv0fet4KLJk6vUTpxH+MrTZrWSm8mI27VBmv+aAvXR6mUz+WfYAQOwYzC872ysKEGz8gwiEqr2U5ryCK6kYqGpcgq7iwR79RtjuFT5nLMMr84N8hx07yEI44DTmWE+RTKY6LLqjXSzSUEYIDcbAsuka807Ie1xtz6yDuOKaMo6XFgUnvVS86NnRqZeJb5+xPUZ9ogpWLZFM6atU6myqgJrWy910AgKj9SwRP22NYE1RMCOfC0wZuMAyFY2EZNyrdk2iWU40G9bdidihibIcMk1m3T5cJxOpRZLxcFC6Gszvw/cRBhoVr69c+8lj7/zSvKqpMtA5dKxpi5zZElNsRmC25UXPJlh7p1nCCTni+khdUty3Du8izuxQg7aNUCSz4worTO+mSD5vyX1rkHnc8OQPDdUWCHXSZYJ2ACQjQIg3o/rrM7Gcylq7es+oddZY0GLz4Bau++B5TPqDzdLjvrkyo7lWKanRxNc5MjYgJT8LTDWg0nVftObkPjjo9VTN4+uOgtEW1vUD8VvTn0HeWVEp1tiKCWdca8Idjn3Mge0yQpx32jrn2WaxE9L/hxz1jnHWdYx6wXyr6bIJnEC/NwegJJKIN6NlvGxGTrv3tNxDn1ZvkFufA9IkYk8BjBxIL9BxJJ0MDexl4BxAwY2tH5iTRaRaDOHG/pCrj9iCA2zsGenesElArZMcP36KrC4xe0YGmz5BzZ+GHWbu+zHTSiN6pcoqF6TJUsfLH9SCZw32O+X3rppbS+vp4+9KEPZa9NT0+nZ555Jn3pS19KP/RDP9T1/s997nNpamoqfed3fmfX+z/zmc/cc8Nz8cZamp8eEaaKnrxaDdq4hpoOyTiNFeiMrqZbK1qW+lyH/9kc1ugMHxEdUUWbIg0tLHIUDiU0UzAscb5pLHUpMhZSve4lK615L2P1NlAE3c+A2R042fh316JX1/jtiw0mDTNirqCH0ZTjZzANzoUNXq/nuF3bPcwIobyHpSTTJ7GhXWTbhx2oEtJkprLoaDnVm1ZyFiWxR9HBunJr2RrLMEhcFw1G0QxihBGG2ZaAgZrqrJRJZp0mPQzU8YPjmXGQYuESvMsom5UMX0/QUjCWhUxq3HHo2bPh324EycLADkOGfWsLWkKTO6eZkowsgw2i0TAKvsAQxgPluJRfac7bCRt3v641slF/48MPp//yJ68La303ON2dPhl9Gd0OsvHJgwvn+S8BJRJmlQZimyv9uN/3cj5s6jxTvuvxE9Oih7x4fT39z+cuOz+1TYwQ27FKTLQA22BtsrkH9h8su60oywDjcIjNgGDZg3nDTUKHCPtCTZ8noHj46LQa4l45vySHHjyo9TigNGvNrrAAEfWxqbdc5ZdS+mbbsnw7VdLu1bpm4ASE4IdgRMpqsyatqUxY5GY7La7ams3UCe/imQ0aHA74H30s7A2DFGXv13V2J7z72BRj62qK2pMERKPSTstrptoYQ/ddFT3rsSi6sBK28mPvPOEMNMX01Zevp0s311JhxZphA4oStvG2R5YprnYG1WeGBKlg+nKIQiSygg6RAKFcquT6gVoSPsuo+lohuGO9OhbUWbKl0YQFyfZc49knkPaGY4lLFVOL7LavVYSnCFSiYb/hlbsMy61+o+49keNKbRc703vZfeauieq0xFrGmlheqyurT8KAtQB7jfH+06C+rvmJSJAlZzrN0Pm1Gb1R0ARXynb/jArZIJwxv9mP/HHoWSsBkGv0HDgENzJiibxvsNuYGq9orU9P/BXV4Fs2yAYwjh071vX64cOHs9/lx5tvvpkeeughZRB++Zd/OV27dk1G7Z//83+ujMHdDDJGMeDUxREA63b51oYy4FASaYPzZoA1Rf9NEwtwp4gJRpabkhcbIwpfis4dh3xzcTPrsIbjmzwtDA69yfOYpCbN22E3scXPZtSZwhlNmNM/mSPffyPMT/x2j+pVoY+TCAwj1CpFXeQLSawlm4ZpM/lsDJSdiZWEzaqCUcfx+MAzR1XWv3Bt1TqquX7KeSqh390uKdorb9TAmHE9/URwwujyO0p2DPCy7CHFnOPNNSqrX7DMJccUBEDqaNZkhBNz5tiR9JWXr8vpxsGq1etd8sRxD7mnbFx2DpZtMSygizP5eVfLrXRgxs5raY3gzJwOw7UXEuYzDLfxy1q2AvwtjDI04207B/R+WmsM2AKYMv/5915SVpZxj32nvsdjLjbLOKAEbfYOSWuv00xo7CtZoHOHg4w6doNs2h9+9VI6fWVVznK1Wkzvf/qwgq7VzVp69cKyq6+2UkviMN3zWJhTsJxslKWiV3EMzmKNqU3NJSY084k/VOeuFTYM01q1zCSOg9Q9gQG4WEpA5EQ15tApsQc5VIv5Z5SKnj2TvbOAu3dTlyPUs/ZoKrsTXLhUPx0vLN7/tjUgc3TuqQkr3b6p32vHWzRsEu6xpufFtS0FNJT099M6y49o+I2/GThsL765kP7oa5dk78h2U4ED2hF9Nry9l0EmKP9gFsG2Ma+YK9jXr7xyQ84UfVTvfvKQAs6gnhNzB+xg0OvWjVUsjpdniMwrmop9zCtKmsOwbVXLWaJEwaE7zaxjqSNv1b1J3+XgBTuzYxPI8lntfey3ZX5XEK1sKtt1xHxSw+OIZYZveQKqGE41POKuLttvGGbcQmbsNp8BauYyD7c74Ll/a705aUPDcYs8K6nsijbSFJ/jmT9yfFpNoLAzRRJwEBOYHn+O359KcvRGRaU1fF+eg/pUdE92J3CIBkqDq3ZDUHca2zWraDFf6Ld7EMdb7nxvbm7qb0ps+TEyMpKWl5dve//a2lo6d+6cMHX/9J/+U2UI/t2/+3fp7/29v5d+93d/Nx04cOCOzkOE7nMT2c/LW0YTiIEF52fc2x2WAuNm9uyqQzP42TYq49zlNSI3NojjhydToVRMZy8tywiAy2IB4uQP4sgMIxGwjog62dlCHdGaPxyTqcUN9KHTgbbTZDcGEKfY4/pnRtLmlmFNyazHpi9n0enw8stNi8qtoxwFonvH0LLBU1qnJE4m9ke++4l09spy+tXfeSHdWNgwB38Aj+defR1zdA2GEcFKhit0UZ5wWoVvgw6wRXRN04pxl6sZr2T3uZczneOb2ELDy3MIrDTTHz93Sc2OBBFi6nBBlLwTou/0LKTBDsblqPPcMDDAEI4fmkhffemGDCnHY1hGwTIQITaUvz9q5g3oRKGQRkfLygJWKDXm5vF+WGsx3vXkkfQ//vx8xr091LH8Hvfy3Q7z8Zj/TA7wy2IQcDl7zpGg0Tbr7iPudX5mNFvtljKmsJAw8ymnHp6fSAfmxpWtrjcWdXSqN3KIW8bLm+8byV8zVRHmD/PJNmPrd5Dz45oC/AxmFyeKeTs+XhU1Ifd4dLSizRQHicCU40djU2S+ZJv8e3H2x0arqv6RfYNRhPsnae1chSDP9a1cIuIsVcPC3hnco5CmJ6uilZPOQGrrHEiIRDXvrch054dgFDT/SnmvnKo0B49W+87j+32dMdir2HsWrqxoniPoRE/T579xKX3uG1cUnIEXhl1KPPo+f7fIOkvjoLMOBD8QE47Zq4A5hBbC0UOTqq6gpnl9eStNjo+kp07Ni4s7AjtsX8wN7UdOR8gxsK3QdUoAiGNWWLKm2HpkfsKEgIC21JvpzLFp9QBcu7WRpiZG1LtD1dLoWu34vTnUjIrPTWxTSEKsvTn4DKuOofuATWgpGInkiXDuQzB48T2jFfYjm0NAu0jESd5hiLmbCWC120rmCHNea6r/4MDchNupeG87TU+NitnFBPiiUt35LsPfEzQ4vA164l7Go/AzYPKqlBR0sO6auSBjkD1UwOqUqEpmOU5+t8FbHz4xLejlt84vp8dPHxCN44M23nLne3R0NMPJxb8Z29vbaWzs9qxCuVyWsQJDF1kB/v3xj388/df/+l/V1HInQ41RKxvZz1ub2+nWsjU+0bi0uIaAi/Ho4ozHYss4qh2LzZRj04IXmg2Q0hcYqr/xkdNppFyS48nipcEKAycBiAEj2AeiXJN/3fVsblOryrCRQ+xymRKdXwelMtEsKhMLj3dn0xfuTnKy+VJ4d3pLfgyRORs3FYAS9E/Gl/r5r11Ib1xZVWMYx4RJZNApxoa6l7003/xGlgXO8diNdQ/9dyYbDH8oNE2Om/cv2okNhvfNTlTUYS7quTW6+jdsc6gaXRUOyQblVv8yM1jWnKaMgjffcZ9xmGfGK4KuQFcY1HQBM8mPXuGgKMEzmHPQVZrqZinVa/W0uGiNl9PTY11Zrft1rcX45qvX04VrK3ty0LJsbTiAxU7pNA/7GTRYm8wHVFvh6d7YrOgZkYavNyy71ItBv1MfzzJ33hBYb8lBwDmGc9uyfk2DIPkmGhhnfacvNfJmY6MlC7raRj0oJV3n1FdpGmn7ekuZbjZpqARxlGFJeO38oip6wN4sY2hsM2SmVS6Ha90bU8sFGFSKaWqsLId9bmpU98ooU40DmvdGRrH3HgWkiusW9/YdDI5hVaZpBRB890vnlnRN4Uzlq0x3WaTYcUQiQjztVBu2an3X2v2+zqDQ/MpL18XEE+Al8ZaL/acp2whMhP0OMSjr02F+gfe2TCs0p6Ui0DwBn3RzbK8iy0xm2hR7gRxsbGyn0dJImqgW0huXV9UgjsIs36Egast6FTQPKwU5g0HhyZbKXkugIHYVhyKltmHP1dOTTFma+YFNFcNVuSRmn6+9ckPrmWQFhAUaewjUlFDzHi9cVJ67KtAt03Dg7hmUZPAB89Ur1sNIhcC5ltENDzPEouR9GWazgELSWJrS0bmxtLVlvUcxuMfsC1oPrU4iLfxz059op1aO6xtb5Lenc4/8ufI9VFgJZrAt+dHuw78uMSZPZLEvmRDScI63grethuhD0fb4oy+dS3/9w2c6TEs9+9pf1vGWO99Rmrt+/Xo6depU9jo/P/nkk7e9/+jRozJW+XIcBo6y3cWLF+/qXPI0eEYDZlbd2BcsC7W+bdLuMbADMXklW0uJizLyRl2ZAyYe6nwHp0fThatrKgtLDc67rPOOYb8RDrCxdPhGnMf89gzOc9gRkTsj6Ltwvlnc69vF1KznF61t7tB0iac7B2cRi0TunkjkAB5sYe4K2vh/809elyPw5OlZHYvFhdOgJsJcWS+7rxVoDMvKMAwz8kIFBvPBEbMSZH7NC8JRCgECKhfDc5+T/V7b2jIManzOs4WqNvjPIdHLe4AfkbVjc+B+MC+4WO4z54BqKjcTY2kVlOHkeUNsASNE6RLVQoSH6C0YROd4v641BhnhT/3+q5Js38sIuXETsWAeeNbXm1NjQ0m5HgfL1lnZ16jHCsLzH5obSxMjlfTC2YWMz18CWblTyvcJ7zWLS4DF97GO2MA4P5775Ztrgi9ElSaaeU2a2ytb/l2wTojWUnPYKAj1fufzjSpQzFeUN4GL8F0Ip/B+5jzXRDYMZ4vN7sj8tOA+IMDCT+ZcyFzyPdC2ad0EvEVZTYPIkNXeimqZX6vRfJrzTgkfp+xOUJvKxolnfVtBAOeNE3B1YTDD01s9aJhl3lG97LfW7ud1Bpb7D758QdUSeNFnpsfS4vJGeu7Vm3K6qaRgv0ujiDJZ1lSVVpxvOYC2hnCkgN8wWSwhQ/Nr95pgnyBoA24Y1WFjZ2pImZcsMvaQtSi1YZJeVDNyOZ3IurIeCPiwp9bk15TTzh66CQa5WpLiKQ30cF6zli9eW1USKSBT+QbAYeYJ70PoJdZ/BJJUAEw0z7mzByRtbN/uMLcELacqr6II3iPtrgfXVK0ILg7Pj6sqwP3rTeIF/73w2RVrjAwMO8s7p3Fn99mPHz1fI8BtnNVF/R0e6IdIWW9vGK9xLuzxQF5eubBs+hkOj8kn7QbBX6IRFNXfTcF8G/KVLl5fkwjUX/F83+NBJ/jk5GT64he/mL22srKSXnzxxfT+97//tvfzGo1nzz//fPba1taWOsZPnz59z86LEiMODU4SDqA1NN0eqZLBDLU5spbQwWHUiM6hyjl2cFwT8Lc++2b6n9+4rKYMuIu1EAXtGGJLUgape+PvF7l3VBOHv045LB79slkTTVOGxjnIG8Hg7FYWxKmXVFYqmhx7UBVxrcExzIbLRhlS1vxhUWIUyGZh6IF+9JtkZI9Z8MOyosRt5FiB0cOAUNrLC9BENpE/GDHD4A1xfHdmzMh1s7tEs4/O21UC9bqYKWxjge6N5rUo3+FsIZDD7xZXKfv7/c5BCwQpGjC0iXilQZjyMcSgZnbsCr9f1xrz6r9/8ZyyW8OMuPfWqGXzkuYvNgtjKjHsZ547u+DOLwwgBCmU2nkWZDFxSE8dmUzf976H0kfecdSpHqHssiwajm7X8+0jvT7MiBI22G/DQZr0e/QpcH7YGajLKP/i9LJJZw1avr5HfMMNto+RChRwtvnhIKgi5kwQ4XRIFMQdJTWMdajktVap4lCdEWuPFPTsPcxL7g+JBWwDjVsEDKxhy3bb5iqnCFGTcjHNTVfTM2fm0mMnZ+R4E8BIHOcOGY6wG7DAQPn68oWlDJrVj0nh2zHs3rb25TqjiRLHG6gCa4BM5svnl1TlZZ9788qKWIcI1EgqiJEJUgDYMtzjMhtlzX/YVzWzhx6Bjw4UyKp9VHk5LtlejocIztWb69ZX4PaTeRIMRDFVOC5VE+Osr6cNKod+77Hd7LkI7RyaGRUF5OdfuCbn++uv3Ux//NxlZflxwFnndtY7j649NnQ3PPlGYMBxjN7TejlYTztVcPPUpAzW01YdNdq9D+0dZSpVRSV0/t4nH0+PnZjN9EhiXFlYV/9INEWzH9mzsKRQfsQaCp7/DsOaPYe8SFBcK0mt3qWs5lIpDpNYKqcnT81Kl4T9P94agkKhVdLL8hI0ohPjBqnhObNXPqg832955htcHIICP//zPy9u0xMnTqSf+7mfUzbgk5/8ZGo2m2lhYUHd4GQD3ve+96UPf/jD6Z/9s3+WfvqnfzrNzs5KzKBUKqUf/uEfvmfnhdNNowmUUtcW112O2n4XjRkxgRQNqlHRDESQ+NOJjMFiceBsQlHH4mXjsiZGskq7T6qiwyVKxZaw2Sym3kgSJ9pK1lb6k/Pqv+/XRc4GK1vaS6OWZc86n7FGUrt4cfwikY1hNjEtX5yGHyObQTaC82PDFVsCBbu2lfgxWBigyXkcdlglDF+bL1vH4idDwg8EMnncdt975AbcIDIpoWhP40jVAXWR7WATiajdjEGHw3X352AMKDy3/OarsiQNRkED6I0plZI5HGSmw9DgpJBN4TP8h6OoLKdjbeI0ZOR6zima1sTjDDesq0CWyiVtPrt1hd+va+1bZxfTN167NdQzGKmwgdgaEKRHSoM4BnmKR3Ns+TlKpswAW7dQ+sEKYlgussBnjkynH/nEo2JOgHP8HY8eSC+eXZDRD7q0wCreKa5YlRkpBOJsWOMYmO7AWDIvJcDVp+oRMCygAWRbeS+OcGC8614704wqdFeR+mX51CCO3cqloMh6W8m3lCoj9GqYzD3ziWZQRJz4+cyxKb0P5UM1kWaaBVQGC4J8oZHwsXcdl9379T96LV25ZeXvvP3cS9JPDaie8eYebObK+GVV4tK3dXD9zLlBzEL36zrjfGHBYC8qeND3ysUlazqnYufrhHUjPL2LxWUjVyXkniPfhjNolcQeYTivLqlXxn9hMITOsbayRntr5lfCZ0BAFe/cAvKwCWSqJAeP9UqggOPNOfOd06MVOdzsQXlFxxh7CZxDbTj/uX4NvoNGbxUzqqVkownw7V53fIBBa8Ma7J0yl8QemPFKWWsNKmSUeckSg29//s1bpq7pfVnsr1YB7l/ljWpZvtqgNZVj1Mr3veQrXPlBoESgRZBCIEcSEntyfcHJK1wbhWeUT+bFiMQUfkzDxchw6P+K5/stHPCh/q2/9bfST/3UT6W/+3f/rozOr/zKr6RKpZKuXLmSPvrRj6rxJMa//bf/Nn3gAx9I//gf/2N9Drzcf/yP/1GG7l6rXEJFl+9SyDc+hZ+D8yQuYN/wK5VSOjw7mqYmq/o5sgxsUqeOTLQ7kNwAAQAASURBVLmEuUX8w9oBys04XL147ohKlQUFt61FZ814ZKKsYe92ftFg9LjtHPoYFuMVx2msyEGJbLH94RiuKAnjSY7FI0VELYiEGXUEElhQ4AuhO0OdLB9IxJ0OB9nKzrtLV4daZTSe4YTAl0y3+7oLIzGiMdUUEI1pJW8g81nVXqKAfEm/16ATaOAY6F55ZEOvACW4Jx6aTaePTOmzZPvBzmKkUB28AUMJ8Ig+m0Lv3AiOdF2nBygYMRxvMHE08O23tcY1fO75KzLYMSLb0m8cnBlLx+bHtPkYvy5BoDnh8RnmF+tAPPtq9rHa79oWHL/m5OJU8+ybjSTO6pfPLWW40088eyI9fmJGVRk2OjH59DmnUO0bCn7o1GcE38AWOAdKxyYK00rnrq1YT4kfzxRbu0u02BcyiApKc3LXQE6wP9wL7Eqfr+6+5xKZsgCRuWqJA2PdIbCcnUSsA+VeYDLG9oDDz+YOh/BTp+dlG/ms9b801cuBI/C//eDTcrzhnP+Tr12yYNAbwiOTttcAJjDHQPiwtayXYH/o7Xn5dgxVOX0e7Zd1xhBLiCTWzQkC7sR8MiaZUDAyth9jtbLMr5hrWGs5CEvggkm0BIsU8xEKOiVPolIYdjzunf9Ng3EUJAXbaHkiJGf/+422v5/rAOLwIx9/NB2dN+pXqovstXlhtzsJlvPU1ZKm9/XCaRoloUP+3CYMVdBxWxHwDOPhtiRM8PYz8vtc2Bf2b4Lh0UolY4W5srCZfv/LF2Wz3vvkYV0/cLnnXgM+FIky299DjXonmFZ+Cw5a9ZgSapTMdcPudEuZL1SnqHJw0YdmxhQkGZuUEVbwd1QT876JYK3uH0yNV+XzLD7APN+F9t0oXuyjQfl+YaFbIRAc3K//8WtOI2dqc3nHNN9IwYLEqMELTimMhssDsyYFG85SDDIO566upHPXVofOAMUCz5eyerFlwaoQhP6jI5WsNG28wZ1hGDD7d28jRFwXI2gOMRRyGte3zRnOlf5w8o1lxLrexb6QCmkKHDL3g43KhUuMlcTw8xGRBybuzkr5HZ5YsGJkNk14Y7hMZVxrlLy42oAW5TlZs3vh5x3l0TgGWX1e59oCSz6NSto40KWy3ktWAs54DBPl3SgHDjsHBGOpFLMNBicMo/u//uCT6elTt2/S8/MT92VjSn6tXV/aSP/vX/+GBI8iCOtqLu5hePnke0+m516/pcxr9DfouQlX2P09QU8mzOEObAQ47jiW73nqcProO47J2P/p16+kP/zqRWUKd+KytQZncyb6Ob697+1ag2WjJA1uXivBQ91pCk957uOYx1wTaxF4je4lToHPxX7ZuNhIe9eBKNMIFmmG3G4ICnf6yKTL3be18bFBggmnaZrxzkcOKtMYzwXMLRVBgoq/8dEz6YmH5pSF/K0/fVPlftYijjl89XEL88wkwyx372HXGiKrHvhg8KQwwrDe7gWnuDWODvdeTgmhmP/X//1ZsRfdr2utd09jjf3Xz74hBiru/zffvKW9iDVCECWqQFXVKg6zaHbvPZ4JN+x2q8tGqgfA+yR2ex7FyMhSLWRPFRtORdWE3kRMv8HcpSoN3OTvfc/j6dNfvqieEQWShUK6tbqlc99T47b/HU5nnuIwywy3LAlmzCnWtxMB2DDXzPVyjlQeLPsLzLMmSln2xl4ebIMeWuLLKppWhWPtw/zDPWCf4T7cWjZ7yH5vfPe2qUVFerfKcd9zzvXIDLrGfpS+3DOC88dPzkjXhPHCG7ekHhznJairi5CF7TJnvKDA/8yxaSXymKvf+76HuhJL9+Na25ewk/t1ZCI7UyNiF7h6azOVaG5yQyNKLc8SY7itBIqEq0nGsrgwdgiI9A42ETKglHLhFI2Gw4gy+63jnRZ3ZBbEBR3H8i5lNvbNWjdFoEZANGRcOuIUQWEIhtpoDQsqbYejiLgFBUfiWl6zsnMxTY1Dv2eyuuLddj5UZIYlEdsqphpd115ewmjknRoli3fJYvU2ahikwBruFFEjfKRGIXPuccwpi3KFG7WW7kk0DLFpYDwxZh2GEVfzLHm2oI9DE6X+XkeCaw+WCn0vkJoRi/bXlrcEF4In4PXLK3IcorlyL8PKtoim1HR/qUK88/GD6ekz851u0302YPzAecMRlBBExurRsw4KKR2ZHUtXlrbSCkqOun8dQaS8kmoMqiw8q15IU3CxZ5k0h4Z98YVr4jimXGqYV6glb+enzju09nlEtNgY023rKC9Gky+pRwavWWqnQ3Oj6dKNdc2VkHnXpqSNqbs0y/ouKKA2ngpjm7D1029zzZq9+tz7EMXiGMF9T88KJWwC6K2arXvWGFApnF6cBVWZRsvKPOIUgxefHDVavT957pICS+xKOCfCt+fwNByH744AeafBesOuQXN4/MCkspvcE3DK2BeeW9DUMQfuxA+P4H3YETbsLwRwfg+queevmWS9HD9Uk1WdtOY67iF6FnknOPY5g1laMGuS6zGxLCnFPIr3MgbdUlX5RE1rPT18FdWgYU2Y8oEFS2LRBwBFIjCTqArDtLHXEVXsYBJLsa/7AopqQZ5Vh/sQLCjtnuRWfkjRuVRMU6PltNVoZfY/n8DJfzaqCvwtNiKn9BWdo5iMtBOkzUXTC2EPpoJGRf3GUiexFdj83SbqIAiN+8k6B2N4sX22dz/M9yhZI3dbc4sMOM4zcw6ubppvSd7put3viO8PCCFVSo55+ca62Go+/uyJoSq6fxnHA+t8Bz6OB69GpvKySOvFt+yTkgxwdP6KA7RSSjNT1XRsflxZrJfOL4rpA6x376D8LCMmPuGSR76wh99Zy74grMXOB4VTdWMoA1E053nEF5JR21n5JzBcGZTEOcvDQdDx28m5XyvpxOEJsR+w8Rmmzzi2weGRNTPaO6Pxm5o0iA3GluwiJf62LzYWYRj5YUhaIiuhv11pU4wWftlQq8khB24jsaOicHFrWx2nLru9nlXkWsNom3HrODzhRHEhcuK9+ShklUMyXHPAoyaqHBjCmamRNDtBv8Bmaja209I6KpideytGFH8+e1EE5G30FTDf5LCu1dLvfv5cevaxg/vUSNkmTuWAuQALTr5MHWO8Wkonj0y5GBFsOfaOyGz38+PIfvUTmco7qXksJswi4F/lTI6VVbVShn2ZUDN3jKxS0jk2EBaYPcT/7NnZer2Rbq4YZ3lAvVLemXYmDxzvoB0DLiX2HG9k7A1EDDttcw1cZKd0SxB6u9MRbAu9IySxCeb4GOeLzDzcyCjl4XwHw9ELby4oqWCVOnM4YlMNjmccbTLkL51fUrCLww47AjjcsJfRUByBZwh6cQwJY7mTYmxCnfUlisFWEm6UrBiZPuwXFaRxX29WWTJmpGGyp133Ivvf8IP5SlP+fho4zkCDSPqgXJk1Lup/zCB3sG77XB6qZ3bSlCVDabIozYLOsYaDe3DMEMspV4uqvgwzOO3l1W0FDX/2wlVn37GMPCJjw44IKPIN1Pm1hplnTjK/ZsdHREVqCsZ2Dwg82cfzTnQcQzzlvr8gRc+5AtuxSnQ3NWGch2ApntCN+y04HjoO7NtiR2pk3Ogt9RoBCWvqs8BCjYEobAx/F0ysbZfkXb8h+JsYmGzNQxBwY9GanXuH2TeMjQViJCzJ8pMowhHH7xANMXBA7ivHJElVKaTj8+gdIBJksNpSuZwuX1+TrxGVtgdxPLDOdx4fx0bERiUlypyyU2wcbACnDk+lo/MOMaELe50GpoI2jNmpkUzREOdCMucrNolZKEVlvFxpDCf8Ls47nEXOTQ62b65yMFSiNtwsEx0Ozc1tyzgownXJ9d6MlEXu5qSSyf/oO4+np89YiZnuebCDGAWOwWI5Nj+hDRvHgmj8lYvLygyL0cOFiMjuFUcoHw8vqMLIywgXMDQ4Lf55UxFse4mvKMWxxVpg9ruHYIZuBMMxIJMXAkN11A0xBIVCmpse1bNRZp9SLBlDbxbhfmFkRhHecerEkeqIGF7g0bUOcAIBKKuMwSLLFvC4radUDlQvNKjXgQoBExz9UVd1A9Zy7uqqqiy95bn9MI7M21xk8z40M5IWi0G72HkPG9kPfPCUlGaZXxjzhRUysC40dBc+UL6kSgWEI4q3Wv6tbTr9PqNmXW+8teDboBHKzBKoroPNtqZIczSBtlBuLihoNco/O3dBJ/KqqErs9W+OovCkRl7oOh0nTwXAgrnboRP5ilp+GLLF3gz7wOmj0+nq4mb60kvX5WywvhjYO2HnvZxswkNWfQF2MjleTacOT8rJJqMK/z3vZV1b06uvV6/KxUmxHkoK2u3CCcy5d0hl65mXC8L1W3Blsu7r203B9SjDk+kkWyq4H7AuNWh55Un6CsZHPczYawJbONx92gTG+iGYIZvZbJZNMMVtGI3M2+5QdyB2BL7G8x5sGFGZgd5PVIZOPtBb2RlmRMV4cgS6yu2hqhCBKefuK3PvE1xwxj1ikCIwzmf3S3587XlUdqmwuS2AqYTBvDyIKB386GvbpiuRVQfCNyhmkDKUaY1ZrKAKcO89iCq0dAoQymO9CN5ilLixv3IOVOMhPLA1b8fCZrEmglO71bJzp7n3boDDgrC0UXQe1XPKUx7nh15iLvg5cu0S3GvBbGNrOlDneSYbqh8E/VwPcBx6SqBlbrVaqsANamp+EMYD63xLbKZcTBdurMm5ERMBzBQ9pU3oBN/52AHhrxhk5siYBybx5tJWWlq7roXKpMVxYCGFUyYn3kvHt5FnDjFYgIrevfw0MYrD3U4bW820pADAjABRsUXdBs84cnxazuar7hhjZE3Bs/v4cgzLRTG3sFECxfnyS9e0UHD0MOYsEO4P94zSJgYG2jsa6Z5//aYyYAED4RxFe7ZlDBV7HYqaMXDRWOfHYPOIzZfsNWIQkdXgewPS0o1hg6avnDFZkL3nOWLIyPKr5CjMXTkdnB1J1xY29fwoA5LX5/6Jiq1hNIrhzONIUPFgYyMLynuEh0yco+HRccJNottOiua7WsEMrZTQoGMKeW1vodUleIYEaBOD+XXmyES6fHNDTW48j50YT+63gWF98tRc+vqrN5XxBPJxcG5UfL04UGys73/6UHrHYwfT2atvZgEHl8h9RLJ40JJRsNLz2k7OQXAiiwa01ko3wVH2aaqzJquCgiA2I8O7mqANWSiaaY3qkuygZaV4pswvoEjCjHadAJm0UmrmvmvQNQGBGasa1IrqkaAjvtlyU6bGDOoRjm4Ebf2aRcHv0tj0yPEZnTtzlkwbn58cta2SNcaaJdPN+h91Zh+qfDRMw2rA3P5vnz+bbq1syknTPXLRsaD9ZI0FWw+nxn2KjDjJC7DTXAdBrapxzXZaXLNMNg4JlHjjfo7cQwIf5gpOPRlJnhM2kGOZCuHWbQwc+ecXDlyUvDmZoGXcaVh2sqDv3o9NYNhqghaoILFPbzgMLpq3U66R3hov26muhIk/OzXfwg1fUk+LqCdrdQVl3H/Jne8lmcL/1K9hAnZSUNwaInDyBn8qsJsuehfB3rAjK0BFTJizGSaLbuuLIJMkldEh2pu5foL1oDTdLPh+7sdC4dn4vO26hLlGg4CkkbO69A7uLcke5vsEwUixKd2DcOiZd9D3cdcaqCQXHJ7mrCxrm2YT7Fpgoqmk9SHY1PIjEkG2z9r5BgUk94Dnk993Y2QJpbatZ9PRqKWbK9sZi03n+M4elcH2rKHbWISaaWTEK1sPKMVgetCdbwwrZX34Qo3f1DqGmZiBlWRRMCEj2sbxfuPycsY6AOzBSPFNLVO4r3HrWGYEvzbjThsOw3tT2Vx4KRa6bUQhKEOWiclMxgM1RQwm1Ewwr7ztzLyy1Bs94kH5weKBNYRSPINyb97R641MIfinWZXIFWnrPAZcFILQ/fV0de/l2nkvWbAYOvZoOctga+HnyvvcF7J8+cCJ26YsdKuuZ8DmwueAHQjSokaWioIrMgqLq1tO40Zm3aASKr/TtFZGeQ9nYUsbwIXr6yYWYYU/HVcqlz2GPlJFGSUUnMgOJYgGHHtfB39uRCrQF9ZVUQFDt1kbVTDEfd9vmYJgF8GpokkvMMLQcE1PlBTgfde7HxJcicw3gXBelGnQvIlNJHozYgyaZsFiFL9XQ6OXgXsTx/Fvqf65wh1OLJlbNhHmAE4BwV3tFoq2hpHFjpij0/3dtu6s0jJIBS7rB9H8Nt1to7gspu12S/Ofn3EKybjfWERQp1PGjn4EGsJp1oKJh6z13LTRziGEwpdQveMZwM6D7TjL/W60HHpXcqYW7wFx7C7XTjBI82zQhwUm2DKinSbm5HOYe8Vr2EOw5tyDdZUbOjC4/HNhrRIQSz14rJLmZ0YE7+MawChznvB/b9cbGZe0sOZ9IAGUuwW1cWWRh49Nqxohyr0B8yN7Vh5UfeDpo/sqyO2t6FKl4d7NTo+ll84uCGpVy3E2EsCgc0GiSPSsuR4JAk0y5/T3SEisSvA0pucMd7fRBnoz+S431Jx65NJtf2DvHK2iiDr4g3mWsVCezjOc3IshSAxNpZ7YEmQT3Dd4xmQNqga3tP0FGFJoPEjNUX9sDlaA6GgekkgxOmAxaYkljOC5A32TsFfTKUhzBinICciwiwK13hKbV/fcNshno11MrYJpH8SeLuXJEs2aO9+noCasFDoUq6xjYCQ0etF7wTmyVvo1oqNQyjFYq6pE9PzeAgW7n/mKHHOJjD6OPaI6R+fHHliKwfSgO98MsikhJQuuDaMdpX/+jRFmIoJzfPsj8+nSzbWMR1odyd6hL2oqlUhtYqqRSzKxVUXPedzyXkfDs39WEsJgGN+uHIKxsso5Kk+7AzwyXk6np0a0QcGacfbKijbrKL91OYe5Uas30mqiPGkqVjh6r11YUjYqn/EOBTW4gXGoOBIYXYwAYgmYoMgaxthrWSzorLY9CxFS4qEeSBamQfNe7vi9FI15XF+MyJRRIrRuanOwuXayYmSjuYcGF2gr6wcuWEpvztWMo05J3gRUPKiCc9xL/JoDfi7587MNxHoIDM/bfc3Z+bpsc9urB9x/5qiyDchD78NMAQ72D3/0kfSVl6+n89dXjdqr2ZRi3bOPHRJ063c+d1aOK45ZMOT0G3naKkY/UYlB0J588GmbLzSGt/PAB7NDwZXlWMdve2Q+ra1T9TK8OH0H7QbYzJKy35SRW8I89od02Xn2/M7nTwT6sRlaOdnS2WTRWX84kIgUkT0WHnlyVO8VHaA762TFvve9J9O3zi2Jno1rYzCPsE84VGTdooGZwd86Xr2VHj46nYltIDuuBmUvMeM0cU446WQuheGm9wKbaUitDlxH6xShkEp65NiUjv9VFBZrVkFSIsGjzYztJff8wJojlASTAj8TJOP8ESAjOMS7sb80WG95kJB/hqHRQCkdm0QgwNyqVjvY5Z3G6aNT6W0P3zsKwL+Iii73medAg+07HplPR+dG04vnFjUXsM9yvLU3NTU/STjYnLA9jGBP/T+HJtPjJ2YVOJN4WqxuK7kiZVYcQJeJjxF7TB5KF/KKIdPOEgm+695+hwwi4k7xFmvrDikFdxvRzAwMS1C0LOj3Bn6fO/xhT+e+La4C/TDu+4BMATUVzBHHtxj22YJnzTZxOfbYK/VWdJI0EnZqmSw91T/glbVG3k54g6XbDOkINC2gZ92rudsTO4MizIDHBeVqMwdBvXxjQ8dmjwT7TQDMuQRcjv8pMB7l9frAqpO/tet5WbNvW2uRtby8tiWM7OMnZ/dldelejQfW+SaDSPkYI4NzGo1OuH0SmvGS1Lhz3YF/JvMi7FzTMgtEieIkbVp2QE1ObDC1lnCurASOr4YRb2wIOMqwQxsVynK+wNjkSyzUQhKvcYiNbLSsbEYmIxpnri5symEMx1uUU304t/lcdFrLELRaMra/+8Vzcsb5HRvis48fVMabxUezodhcitZ8JiVBVzMLeEg2djAIvQN5e0p+gXdlBIxFDRuONaP5MrreozGoHy0SQ9jhHOG/7n+zpWOqwdZxsRbpW4max855MzfkfAeEyEvsDPPfrTEpa9KT2krH0MX9prwoNcyq8bgOav23U6O8WNBcgk5SGY19LkZgEKYz6ZULS+nF80vpyo014YZ//8vn0/lra7pmMiM3cxLHvZy4gdqKptx8E68UYlFmE7Xe7QFKv81bzcqxIfWwPyD2UWJd0+9xZDI9++ghsS68dmnJqftMZfPIwTE55cyTflltzknBVx/hCvnXsaE6Bp1NkWdMTwH25Y3Lq6I/I6PNd8Cfz/myiT16fCpNTIymtbUt3Teov972yIH02qUVOV9BgRqZQ/4srxqEA8YSBv8O5gR+j6Nh68L6YaLvxUQzUppDzba20emn8BUTd9zWfkGZcu4bWXPK+jhS/J3dA4+eVG3KPWdMENA3emai6RMYEj9zjlwjQTHN8WHbdJwcSw3/5rmxbnH4gZJpTRFEDMG5sV/XWC/jCYw12Or1DWAjFQW7566tpVKhLceb5xGwhhjlovVEcN/QL/jw24+pD+hdjx/Unom6JFVR5ONxRPtlPqmKUKmjUsxaJJPOM7Q3WFIj6AsDisJToYcHe2lNkOzL3VL0b8Xg2Kxlcy4t8MBZDIefOcZ+xGtrWwY3k83wwJz1g2OZHS8UctmrAxo24LvDvunj/l7iaK47b0pkJ7y6Jjij82VvbbeVsRYszaungr0UyMp3Ph/BqREKOHMNMEf/fukcSEgLaAviRda7xd4fQZOuU7hzs3Nhh4fpfdZ7ROjQoY89Mje+q2jcX/bxwDrfwUXNBlrzzmYpEbqTao50K1VGiqYu+Nih9JVXb6SZ8aqydyxIJiYGjAyaGpi88Uhy2J49Dxp1NiM+EzK8KPmRJRtm8lLiQ54YmMsoJS7hrVCwM+lxVqNtbkSqhnNQR/aYQTWiWSacxt6Rn/4ssLNXV7TIjx0oZlASGqFwPlg8SKfjaAuXp8yhOQxk+QP/mR3bMcxDsI5pEO03mp1NNc6PBY9SGNB7yVi7sZGk+HhZkt3q7gfb2LO/9jaQZAwkNEiqhG5NLHycEjmOB4EZcwOjI+ll3XMrM7JoJA0u4Qgy8q4Ah5PluFLLaFqZkMYl4ydvp3pt9yoI30M2nnwUWUMylmC+ycjt50wBASwNf1Q0yGxyb55/Y0FQB54jQ1ALn89dUAKyRF6+zXNKSy5duEXLEKPQeOn6uuap5mOfxqveQCcctq4MnDMBcO8Jev7wKxeU9V7dsKoW6wKb8dDhST3rl88vKtjNP1qdM898tweeo8jkM2x6h+bGxHpD0AKcDIfYGHks43b8AOwBVX0310ng8vCxGeHocaBhJjlenXAonTkKKOWpx0DOlzkSzOGthU1lQjtNmFZWZwB9wolnDQTPv2XFDAtunL7Ws0ApnWQDc/TpU7MmfhSUi97Y2WGg6GBCe0fgbKkw8b3cg2BUoN+Cih6YdNQbqTp0WmnMbhMAS3lvEYedLD7BXUfJcKfBHBG/+T6Dd/VjPPnKSzes0uFsGDxSniX7FT0XMefyQ49F0Iq25vtnvnJRjd7BSkEl8IPPHNExCJoJinodeOYcazqSMUwTxNaiJymaH9GJePT4jF6naT8T8xHT2L3hdx9mRKa9WLQANZ+Rp/JEwEvwayw+xsttfUBm01kHBJlGMZi7lwO+L+75oOvr93rYqvlpGqCn9NorFxetf4XqFb0m7GHyYajI2f5k2HanE3YnOLNzjjXneoypjJ4Q+N+NVpf+slhb4RPln/UeSYd04VIpLRbTmaNTDzTTyQPtfLNRy7EZwXGry+oEuwIjSt9ssmw2Jw5NpNcuL2eRLWUoMndBLZSgJdTGaRsiXdPb9aAUAgtaU4SfV54DXoHT2G/oXHJsAk3HqNkisgUgB9Vltz2Zmy15y3RDzWcNIf3K3nljYDLblkWmKkQpDuMbVIZknQkWuG5KkYb7xOkxx0dZA8e5cc8kqAAtoW/8g9gd+o18tkNZeXeuOA5wmmhw4xmyIbNJZzizAceLrFiMcNB5ZnNjVRcSaqenTs0pw/ji2UUXL8IRbilzYw2rlukvlTqbuWAmzW5ZeyknuniChIk2ah0DuNv1+/OAWvkA3Ne3NjUH93OmgDkLcw4O5SMnZ9LismVrudequrRogEQN1RyFruCrj1CRnDinrsNxj54KBJ/YKGmmLJcNVhYNlCqT90HtSNW1lNIozUZUtSplBTo8w9cvr6bXL604xrmt94BfJKPXatP018w2EQmY6JnbJhOB6E5NoHmHn4GzjwMLPSG/ldBGsyX4AEp3XCvlf5q+z19dTRWp6CHl3Uqf+epFE9zwxm/OEVpBqc42WgpeI1vdey70fAAlM6pSw5xyHuCudZ7O7sDzE22kcOIWgGCrLJvZEGTt9OGpzPHOV54MP2/OQS9Wu3euUN2aKhUty33LegWAQeAIcW+xr5TAyWbT4yI7BQTOs5TiKyerOoIOgCdThuA75ZyoqO1HeNfgmWVPnP0G55kmuWicjXdZ477tE2LvKBhDDUEW3O7Yn2B3Ag/MGmDdMl/anhWNdcvcaTStUZlAkGNkzZ6qslrAhqO3uk4lx2jrlGTxhT4MR/w9vVuCknZ+DsfUmoNb6hmw6nbLRXEMnsUasD4vE58jybLbmffCMoY/ScvEj2svNs0AU40E+mYQNDw69knsaJn+hagQwxrklIgSirM8lVEou82RdsmyBUn2dazTTiDOmpZA2B0Mwe+8EgxW/QsvXJUNwabtNwavezUeWOeb7Mzxg5PKcI6sQyPX7GziTuQPvpGNBmcTh4Ho/NWLS5qcNFmaU8cqDfl5oyCLBqIYxnfbSqubxu9LFlwLtU1p15xTNpxwMFjY4EoxYiEpn0XoTpOWhoieA7ohHnBfNNEIkt/8rKxllIWcN9yinBeLOkrO8E2zoIn2ad7B4SDaF8e3VPM6PLDKTLsyphY/tGBDcMPmnYLABPICTrCaSz0THb06hQLOFcwP3Zyu/cbAjd5xdhgfSv0YGp452TUMET7EYydm9N1ki2R0PcMX+Le8Ch/3F953YAEhNnLxBs7D3oxWVGWYkycPjqd3Pbpfeb67efUpl37r7EJaXNmSc4hzZUGmzf9+zynP0dv9C68ulArpsZPzUmNkXc5NQv1paxPkBZUNhjn24O6dpSNHyacgUZAroww8SbB9acUzoTWtBTVkOVay3iS4NDiQmHOSYaf5Lp6biYHc3pCkwDEoAv01qmByiovF9MGnj6jJDAfoyNyYNnz+DaPQdu2WspDvfuJQ2ni+kZbWV6Uqh6PJRoyDROWG+YfNIFsunLg3ieWrCb2D93zr3GJ6/KRt4kcPjIkmlR4HMpw4WzSAGbympQog/Qj8vLYJ/WY5Y2oQrhie+hEqb7a5W5Mt9xjH3i5e96Lnmdv9tl4HPsNvYSHi2dE0zr8ZfIZsP9fKueEkRLBLAMUbaE7luXE8HCSqAc3d1mE7WT/L+nY6mW4XUNsvQS7z6z1PHEgbdWz3triocabPX18XbBJHHOgE9xsbnvFhe2aatXnu6poadr/x+i1h7ukjWEGwCtYcNb12vjcP+wl8sPZBOXKW2NE+5Hsm+wt7yeVbm9ZrAySvVEgr60bR+Rc9LOkU52w9RzjWzOmHj03JfsAkw7UR/LEn8CdUQHtDn3vBGG90qfX02sUlsQfNT41qTtNcLYa1aOIUlMSgamJmSsYy1PJ116WD4HbDAmNTFl1yYgEqQAwCC1EHi/sdCNfezjtoLS2hVNKcqtVb4qInqNmPFLr3YjywzneU5yjFshncWN6UQbECqonUwEfJJCfjSHaM999Y2pCyExMQg6aO5uD49NIeI5/tUjPitjXb0UjBIo1odVAnN4ZJGGGcPTUFGv2P92ENlUVWmQxYCM0hbdvgo6vamj3MsGAooxnGTtrozZStksogTjcbr0E7KPeyKZONk4O/ZedE2Rnjv11ryEhRkmfjO3/d8KX5847GwzwdmKAdTh3IfbXGRcskKCOV4/bl/MkSmiCO3RSDDjW1yHuxgv0c/4AXqHzYhtqpkF65aOV1oCQmMVwRdlIYPm0u9mRhQSHrwx+ukbnD7YNhAJhAsE/wrAkYhJEboFI4aHCIh09MpY+8/aie334ewt5u1JQ5NUYJ1EeLaWOzpqa5YSsCMRTfAYMoWZBIQHtobjxdvLaaPvbO4wr6/s/PnlXjYIl5LwaHMrkco0vLHdM2BvCmtubgJgfPysZg1RbDoppCpwnMFNs219lENtvNdGR2XA2GNC6xNgL6dVsmjfXo1bBwPFljKMjyHa9fWdVmihQ894zNluACdgBgLWQhOVd437mXylKyvoXfbqRbK3avadDkPICvkMWnUTrOY1AQvLpeV6Bx8uScQ2mWhB2OJmdrzLQqFJU8MumcG0E4yQLOaXmjLl0A1sWh2XEFsbwfW8D5C7sNQjxYanJGgfuDg4hjw7mrQTNHq8jHwCuHA0FgMTNhWOLpyWqaGR/Rs8Wmx3PFNvMMjx8cV4P6yxeWd5xrBv0ppDeurEhZdr9VmiLIxQl88Rz9CZagYJ1gH7k2bLZxTqNz4HtUj0osf1Y2TDyMNxDoYPuZDxJJ6nLgcs2VPiK5Y1Ajw1Jb06AlmtgrTMgO25lrlv02ON47aS7kR/RBGLzNKjmsPao7627zLYi07LiIGPr0VN2rEckCeLXnp8fSx951LP33L5xXYgenmcA22G5YryQPry40ZPdCKC/PYJKJ7DSM1z94x3k+9EzQSMrgOIKdSJSoI9C3pxOnsXW0LBgbgXW9saU5hX3bjxS692I8sM43g2iLqOu5126mc9dXVcZlA8PxPjI/rm5cHG8mBhuLjPiBCW10WnDCVBm0gtco/cag1Musk6KiQ0dwMHHaVjYaKsex0d9a3cpI6cPw8DfGa2TMMvJgPeWoO25xmIlvVHstGQ2xHgTlnSAStngkk14p61r4HjsNKwuTAScrOdlGUMMkYzHgDBwnDAAbMNklxspGS9fGAIt65uik2AagYKSBqpnI8ncatwymAjWSZbWNtcGuT01eYKXVtR9qmUbtFE2ZNBBxnvaa3WOpg3mpsNO5PniY4+P0UYLIdBpkF1e2XWhhVBsaGxX3asLL7xJPKpqCaEgUo2Yaan52Di1lJQP2YtczPPPN0lo9fer3Xk6f/drl9Nc+eFoNr/t1wDSBQuH2dj3NTI8azRf811Xm+N5SKdkacPhXtWaqrsiyU3HA2TS8biH97//jZTlgwKaYR1Qh+qmORoMVGw/ldZwW6A9NcjmEI2yOCEpCo7ErIS6tk/21bKkcRWcdUPOtZwcjg8Z5il2iZI1SZKSwBVSJcO6vL6wrOwQ/P/M5rziJY4qqrnHVGzSEMRoZX3Ew2+tXFzfSiQPjyhRDixh85qbW6tm4nnnIj69cWBbMRhzQng3jehRgiuXCspSWSW+ldrGkSthll+KWfdFzaWay4CQtPvau4+mNSyvp//rCWePsjuDYzwHTQhabqgOsJiHP3Ut3xo+YVq6GY8AVrrL5SFlJkxBM41PAIywwL6T1N6ypfrdhdrGorOZ+xH1z3xEyuuHwgWC3CIpI2cyGcbuDrRbLR8Ab89zYCubQLLCKMMeBCjSzt7nvzDe9dl502jnR+LlUvWdaIWXF4bN51OGGViJI5/TW3qOudR8UnwPeB4MJ5zTq95G5hl0QLaZ8AAKJ/tDRrsq3aRXd9QgIHXs2ku6PnZwRDI0KlGlrWGWP+0zygOuiIhX2AZuytAq8ryMAhgiOaFddndnWvH1fNF3TZ8ZzxtZsJeNdH2bIZUAZGsd70nwecaMXDI65Xyl078V4oJ3vcMBPHplMjVRMl68tS/bUqJiqgppcX9hMv/tn55RNqHuEyCIk06NJ6SVzMTQ4rgnHjM2AzWk7kR2ysjeYUbEf0JxUo9vcVj3lUv5mcQRNljKy+pmsnYvsOCfxoPJ8fkTmh40oVDGZ8FwbJVg2cxxD8Y5SildpqJDazt7SbDdTewM+Vyun4bjo73IxHZ4f04bL4sbhAH6BquYHnjqcThyeTJcXNtObl5bS1VvrYk0RmT84v2IxjZVRETPZ61CfBLfJd0rRyw1hlEExdo+emBY7A5/j/vKaeFCFwe6+E3Ksdrk5eccroC0Mddcj++0SyxyfSseR+QlBGd7x8IH05pVlwVEwWsK1b5HZBidcSidpvkMeHvyr1Dhx5is+Z6zxbFjOc4+XdB8uXV9Lv/7Hr+n1feuAO381/O1b2sRtogOHat9BCdMcCQvkcAqBJGwsN9PjD81kTanPPDyf3v34wfTi2QU9UzK7XiSxY7Em8EDi2XjGDonl2UmjuQvHgt8zJ8J5UBnaq0qsf+aOsdEYf1iovWbnzdcUbE7pWBIPMtENiXy4iAwfoXmTTY+NCTvD+9nsqRzQyHZgeiwtLwOFAc+J2qtdkYLCRjuNjxYUPDIvYRiAK17n4/M9nIF+w7Cg7VT0MjoDKA0ZZ5XWqQbRz1Cm6ayVanm1UpwTmsIrCA0ZDpjBN5PdouGWCoVRlBrWXkJCnlm0rHdLgU98Nj83IsOKw5ZfR1w32b/N7e2u4LaRRd848ZalV0+GqWTfNu9EMUnzNHCIG+tqWtxvDgGQAZwp7iN2EkcKZhNrFnSeZ89A8x7hhH3k74fR6TklZ6MlPQfsGhWltHF7CiheiWfkLRZ2XIdtBBQlnm3AKeXcVn3ODCgN7gYr3G3kz7iLkx5V16oxng2qShqVsBEeWLNxQw44c3dbPVvW79RPGTISa/cqA24xDBWy5fT//f1XsibpUDKN6gJBryWBTLmZpASDgKxcLqV22yrpGf5cVWjn9hctIPSJ5tfMjpHpp4KCdLwFxUOda47RpelziHsGJGZuqmrCTcyvfUqhe7fjgXe+GYoKa830jdduKVsTGeMvv3IjU0JkI6TEC9MJUd9Kk0Yx7/YXYa1Ht74A2SSjCZBGJMOWWqRpSmIGUwhuacNOdxZD0BhJWMezE5aZtSyW6JGGHMKKk7EdsUjz+97/UHroyGT65d96QZsVmRCWXUjLSoWRqJjgAco1z1CLiaFiTU8selQ9uUYoxThnHO23P3YwfeTdD6XXzt1SJeH/+KNXFfXiTEighEYQSpDJImATxSimI7Ojcir4DjY9ZcdQSBRukwYvd9QdK2jOe//r7ScO0Hs/GIK3eOlbJcN6Kx2aRcXQOF0JoIIHGYeB73zXY4fShRur6exlwwNzH04enRQshblClQR4DNfGfLm6sJ7BCwgwrPFk9+xOcOWyKeE4MJ9g3Hj7o/NyWvbboIHQIARgh83QC88/4FENqvCwHoJaMp4/9xm88vhIRfcfJ4+gOgR+wJ3SyR8NXbHRFqLZUpkibyzyTcgygt4g5o1C4mkvWl+IIFntQtqQZL1dB/NjK1g83B5or/TmLByXQrMz15Rgcto31h64SqoA4o1XoF83Wk3vvbi1vG3iXt4cHMxKkeEMto8oI7OB8lnYidj46sKm7w59Mjtl52dNzFbd4zWFDBUcJ2tmzVeXAis8MWaNeNhU1tJzr9wU/R3XoKy2gnvoUo2L+tSRCbHIAKMBv02QZlznnT6ScNxiYDPjGYFp3dw2Zcad+OFZo3K+o4m33Tm2NQ+WFTCNOpc5/T1Q7O2Xcjhz4ZseaBptHs/MtBdMv8DghNhQHB8qUfw+R0OdDePbtwwrA2xxiKkx7zBkBvmzkYU5ueBWjZVOsWt0rC5e5gTXwppz/xGqYS9NCEq1U1FOnx1DkCc1AVuwcCcjkmIWcNwORwyRtH7NkuH0M6ggPXx8WiIxqE/SzHxlwSgvmS+DRgQl+Qb9XsrfYYcKa8o6W3WW9SPiB9aMw/CsOmXwIuYESTLuITSB4uqvlrQH0YPWO4LOFggeEE7mB7bDJOULGZtXjF59jd7hiW9nN2qn9Y1GqlbbqowzF2q1SFrsX3rPOx37bxd/CwZO429/9g2p6xHZ0liCw0XGjIwrr7GZ4ZwveynHusLbkqnGOQpBiyzr4oY+cFrhWEeTSryPDY1Imo3Eg1gNMlgqKwurZZsKmWNYSNjYIqIedgTmVE7yjfVUI7vEOTrwUuwcMoIOU+kyHM57nYCnmDw1pW9EMEyauipnh8zIV1++rs+x4bPRLq0iI27iNBZAFJVFxnCBw2QTABdKUEDma35mTByglmF0phPgBOrGBg5jjWPDmmHuKU6P99xlA+OEYxslUTt2UxhhnDkyjmzGxnMMz/m4ru9b5xbsnlE2owmP8nzbeEt5HxWSyP6Aj6QJMO8rs3/0s7u3UX7FhubeG/cJMZo3Li6n/TYwvPQJ8OzYgMlIDroPjKjU9BuijOulkS9YE/Mjx6cVGCICFRhn5uX3vf+UIGSSg/b5zvuBljFPaSYjwxlOFo4lwa02BUruChb92TkDTlxXXQ55Z+1bydfK7XL0XDkvMlJd69bnCVWh8VF7j+EwzSuAbpI5F0whOMHB5U8wBubZBHQaJgO+VddaozkThxzMJgEPDXKsL3Nwdh9ZhtDhOb3PKmAjyqD2fBZ/TDzFLmTFWjL71VaDFecKntSZJXXOb14xLnNVEdxWWjbUA50eOETAGezZk1Uz0Z3drilsRv5a+DwJDatUmny3UbqNyOZTDt8vg3Ml8MRWYMuVBICJyp9TwKoQKoKWMujz+tlSicY4Nx3zkkptsGqZ8NLuc4l5E1XEWBfY4VhnHAvbjI0H4hj7XNf69oAORz/v4/H9oSS90+Ad41Wz5TjM+fkaUDAJSPmzVxuXO0Y0peqPgpWSggTuKXsBI/Dw1hsV19b9/cESpGO7IA4JhLsZni/S+tC+5UkD9jPsGbYMOKganXH0Gy2jEXR14Wau0td7B83GGJ1isN9E1QKfxCAjnfcHJr7rGBabaQ9FsKejEwD8zyBiy1SDW8Yig43ezxS6dzoe+Mw3E+IrL10XBANnsJdfmsV07tqqGoXY2FhIFfihc2VR8FM44PHRmIxeIdrVUdShPFvhCBRrelQGDFCcqVt2MMSOn9tjOUssLvWmutcJMEpu9Ci7hcUT73mOkkvZQdFAeQOhKzVihlXWyhliw6ouic2i2Wikr71608ufsEAEjRXNazWJ9JScGeLtDx9IS+s1YcPJMGNoeX1mcjQdPTCR3vnogfTGpaX0B1++KKcooAe7Dc4LR5/jrTVqt92LgL747fZNvZXq8CHXrFRn12fZUTaRfOc/wRHnjPQ1A8wqlYzrzU31CHBvQwnNoEk7NH/2aYTjruJA8f3c25X1prIX+21EExhzJ0rNO83fnUrLvckv5oKUXxtmyHkuvU08JvBjfRu/9advpm++sWDBpsS0LPhSltXFphjGXW2OvSSdS4Y/Dsc7D3sxoZ7IrnXTC/JcCRyBKIktpYqoR0NZWNYV88Kybvb+gARYoN5WZl3QAGhPR8tiWyGowwm4XUW146JyTjhhwOfIcHI+BBxksfZSure+llYqtzqONrdK2mMDfB/Og+DA1DTtvdCWBhe7rrNYsSZyYCa1phpVv/s9x1KpVEp/8JWLWbazIDmQ22Ey+d4QwYFEEVlSI19kVHe8zGj4DgEksry+zumxOXFw0oKZfVQOD+cVRxHiRQIy43Xnctlb5FrpfsHrztyA7x12mO2aOWNRBWQEHzefwobSZ0M2NeTPBw051WVzVkOxVphz2LQEvTMOaYbBTbqPFbSgMZ1vgwfpxXBBdx7We+Ey7wS/frwQnZNSKzZEkDOqStZfpUqLBxqx2yKmRYUN2lmCBvbi6GGKPZBKVv6E4xjcA9ajhO6orLfttTtJ5hs/f1sOrAJ4h5sERWTYMBxoVQvkV5TUIG1X4gq3vgai+iMYrffRRMLAbJxV+XiACsR7z6fnZ6kDkxCZpLnS6JxJCHBMXmOdLa3VJPh0YHp0X1Po3s144J3vcAxgSsDCh+qXIBIt8JNl4ZtVnpPz2b9Nun2XuLRwvMgAsdEQIbOxsKBgE9Bik0KU83vugb4oMt4YvoMjJobzxpVlsXJYk1grVXDwXcI2CyL8c2TnlTTzZkLK5GMj4GcLacZVPmkQI7sN9uw3PvNq2twi420qe9YsaZhxnNtWnezZhpwOInEaRjDANEhhBKBYg0aJ6+Pef3ZtO739kQNyoMiSBUdp7zWqGcTlq8Wg4jLAIQ0MGDzDoMFAM6DRj+cH/zoZPBwWzpljEoDhMNClTZYcQ2zCQgZZYKNBOALWBYz4WNXxvWLaAFKAWE/HYeLccNb7lcuj5G8VESvbcq/A6++3wZwAt8496ir53oNjS3GuaIq0Icpy7OBEevPySnrhjQVlqSKrQqZYzlarla4v2WZA5QJHL56BsjPjlTQ1Wtbz2t62Dc2aCc2J0WaUKyOHExjNiK2WlfvVyNtK2qRZz2yGOBtHR8bFyMH8Ak4V6pPGftR9V1T2Xd4SwwL0f2ygIe6xm6orlF4SL9J8rsuOcH5XEAMa9uZnyQPPNOf6SXY6hPwpX15WkmcN+lx3yFE0ATKv4e1eWKul9z15RJkxmrwNE24qlb1D2PWSZ8dxourq1jCqt3oHptJrizNscs6+keDgO3nus1REVMUCare/yuGhXbG0ajLoltO2WYojbFAe+pUqugniQi+XnKHDM+A9jmNAqCQqV+Az7I8792lYtVEKcwlEtFV8EBuD1aeaZYcbzW1B9RjCAnt22LLRrVTw5kFsnmjumsayE4JBw3BuWFDKvDAe8YyFiIoUa9XhS5JA176b0rFDE2lqtCL4Y/Q9WFBi9HvscxH8qW9DQnOWGe5tXI1KEXstvUuvXljRHkIDOPfiys2NrirOsOsy7A0JQdkfgpVmh0mNwfH57gZ71gzqdGZjqJaFjkk85/DFo0EXFhoL1GzPJ0CDTWW3Ec2z8vk9wR9ON/OOtcZeXxOV6nj6xLtPPJA0g4wH3vnGsDMZcHLPXcaBrHck210yPc/j3Dvy9HEmsjMco4VFmx28FBuJMW9YKYfNgN+sbNbTqPDWBTU2ylCooWLvIXOwLWAYcaDJEuLcWkm9nRpEtoKidNgf7HNJSpBFL1GStUM9jrLl9HhF0JzAomL8yQq8ccnKnxhOsm3b4hw3IxxCII1WUxkAcfE6Pm1rs5ne2FhNF8uwUnSqC5durskpZwFLrjp3fzleiARYJQJIjRlLym3K1N9Bt7mJKTXlyMFyEyp7OPPQeJFhJdEhNUQ2tpbhbzlXAh3KbvyJsjv3o12xrBHnxr0z59oaXoEx5b8bQRiyFK2i4X9PHTa++f02qA4wj+9Qn2HHEf0RPBugFTi0r15YMmqtLzUVPFHBWN+opVcu2cbHRsxGTgDFxqyKlsOtSGBRpiZrCN617c81GCHInplqn1V82l4Ot4baTpYxTx8q0RjYJYTBNSjJk6dmBEkiI8xryqg7NCw/t+OfZGFfvWgy7eH0hxMcKJ12PvPEJireTvtl0HKePjbtJejhNtIYQIW6G5WHD50CgkcGXVnqZKXy/IbP8YDDFdrXPIDhO+09/ZqU2xn+v50qiH84MwoNn2FH+41wvFXxUFbeVGQfe2g2HZqHyQohppaey35TlOVcoTpd21xKzbbNRWyyqfNawzPXCu2j9T64fPsA4SVGVGCCdk5rhDk9gOAjqkUb23DPW56ZIMruOyI/o7JlzEGzbjZUEW20MnYNQTW86R0nkkEQGgnSYZ1UzROvJsUaZkjWvlpKk6OltELTpJSR21Kzfub0nIJEKpqxdtmfuHb2Ks6B34fKMtdhkLqgEw1xvUgOmFgfpChGX4tmgDVS45SbOI85z8OuKu7LSNX2cvVteSN1fvDsOV/2Jqo5Sipt1OW4Y+9KXi3L2G4iMPFEHRUU1kKhVEgHpqrp1ipBR39cfCeh1FEM1RoENlRryld49ARqpi0Fe6vr2+l7338yHZ59cFUuH3jnm4WAcXrp7IIahMjCqDxHWYhmhbWdy7T5SNcgGsYCkKvq9B2hCBmNX/xf1FoFjI2JZbx6aUUHENUTXeomqyU2lXxGaBgGjchicG7gwTA+Z45MiVZMnN0TFX0/XdyDDpXfzzDYlJahbuP+UcakIxoHaGqsamqeTeMbNTy1Od6Gf881arUL6ZVLy1rkxklr30IGG0coaI9uAR3ZsKpEHFN8sxnGjMx6UxkUXuXe8mw5pmghC5TOcln9ITOvBGVkW7hGHCCw7qhfhjJpYFKV3ef5183BArlDpkDc6M5/Ln5oPUe7NzhyGCbRyUnw4na+a37c0vNO6Xve+9C+a7bkuqFti/t0r4c5B1Z5IDvDs+Z+UlI/Ojeu7PWXv3VNzyGw/SG5bthGr8g0Wmr6VaYaxcQWm1tJrB9k0yPTq4pKpZgOTI1qbpLB5vPmbBNYFruCw0Ku/EvlCuyp8Joj5fTEyVHPruHQm5NS75NSFrc4eHUP6qMqEk10zAjW1rbTf3HPaYyiUhMBMJWYxnZDfS3GWmTsRjs1fmW/UWa/mKojhUwZcdgRtJ92XnYwC4w730EgwD0hIUApGrYRnBJgRKFQ2jsi4092n2rC5nZdmceNYYIKT33KKRotO1SlqSoUPT1UQ/eromw0sE845WNkGgnEih6EYZ9wZNV8iVMGFGKX1QlLEccyGtru78tXe80WmhNJUgFIo4Ip711648qaQTTcGa5GI6hj/bH77EXQ1AITUxZcfUa2xiNQi/1smEGgF/hww2ZbE3PYXoPRGF8+ewrVVfqP4itwvBlUn2yvtXsZATv7zNqmCxR5gor1HFlkjktVN2Aq6AjQgBz7Ovsojj60vHy4l26x314VgjucUzBz2fXZd/IMSCpwfk+fmUvve+Jg+p/fuJrONle1z7AvGuwtxyzkCQRWHHsVMNyL19fVnAm1asBxeqEy+XOTFgnquIiDiVzCAqqjBLYFepdKaW2lpv4cGNIe5PHAO9+zqC01mjL0GOP6pmWWjZfUWD92GmF0OupeuwuGhJRvVjqmTOcbNBjlJ0/NCmeOQ0AjFos/1KtY3JFlZkT5a5hz5FLYaPgQZffWmwsyxktrbTEpGHPCcBaNY1EC36ptyBnhHHFMMSo0Isq5AbO83RAchGgbqkAc5HC8x0fIBpbSWk4e3iTrXWLcM+TcWDrgiwRKdatSqLNbMu9247dqde+kT8KRYXw4J0E3cs5+BCrDOoKWLajJ8eZ6tmqdkn1GI+XHs0y5YbSFbyarwIZVjEyAZaDyz4uMAvcFiA60d5GN6O094J4elILg/ho4MqwtMKA0EL4Vo+W44mAQKXqViLXz5lUoKm2DqZQNYxo4XzZ9nCzW3Pnra+mxk3N6fi+8uSBstWSYc86fsT1YJg3HnAz6pipUDWGOeW71RkMBViFrwmLuG7YbR3c0tdNjJ2eF5X746LThxLXdOdNQH3sjh9sdWXiHO8Pw6Aoe8hNGOHTLKhpGt6mmwlAyVEAvFh3OaWdMczi5rLmwhcOw9cRzoLS/keuHqdf7Z/c4L6Am9jytSS8gOPmMPrZGz9nXP84jmzw/9wte+w1joDJhNGOfaqXXLxuFKLYDxwDHe7+Vw1lrOGQ0F9PszrqT4xnYXUGv7D1Ug1SFtMhtKHsY/Q35YRUNt6s+J+JY0bOkRntsm5xbEhPMW1PXLFZKacwb+7CV24J8wpKzllUCry5uGTZ5AMQqP/pBP8k6S8nTdSRwADWngXApgWX7PHvMBlVKUfB6hjfgoM51HoF+2eee9eLUFLiNjVRVZcW2ANvgOuI8+CwQOAJ7Kuo0hNPwzWd5HlY1M5gH+15BzELd97N3mHif7XERVGxumfCWHP+WKVVz/M987bLgtQhNWUAB1aBdB+uAgFcBkwcmOg+n+uVPNFEHBe5OzyCzF+22qhasI4JczpVE1sG58fSeJw/vu8D2Xo8H3vleogHJJdw3HRtmhP/dojm7DTZjQVTqhsHaaVgpyhYyG1mwAqgkCOe4Y9vsPWQSLEplsirLRmYr01g3GsHdjGdk7LC1Z6+sKbtAdh3WEZy6l84tqhwYxnQ3IxcjeGDJ+MXgOmBAWVzdzCgUKf8nGkSIygsWXeMA2DFsQzaoS6cElt1HbwThWAQLGGVF9hhOl6kmu0in91On51Q2/MOvXhLzBYIpWYCk5jygAntT6BIlJFmCRLe7G7seZbdsw3E+6Dhvuy2GCVRGost3KqSTR6bSwvJ2OrexklEShnpjZLEw7FQaPv/8lfS3vuuxfWW0rFfCgsa3alj2u8NoAc/7kblRGXsyfAretBm5I+usA2TTwJyyBnhNgaLjZvkZDLmqWZWKnFSJtziHN5t2ZRwMa8Wy7pq7hrfkD+Vd4+oG40pmKqj5bMKoGa7WSAdmxjLoW+8tiuBOFRMCSzio4f7394Uz0XtnVf4uGVOQYDWuegcPPQ4HTq5wnzs8kvz8jiY8/omzD141GCj6jcDGB6Va/msGWVQxSlTLchT4DA3svYPXCwWjRcXxUdN3qy1bybVSdeN5B59+7+mxLLGj2Hpl/JvYlIYCqmIBcS1rDnzXYwf3nePNiOcMnBDon3i5W4DfvafBH7iqgXo21oOTb4LeaUTVsnd0RKi6h5lB2+eoBGK7mygt03AoBir7EzoS7XYxNb0ZGVavRhHHvRv+uJvlCyhWDITdnjg1q2O+fnklu16SUHnoVBZgq/m0mY7Nj8vh5h5duLbmWXFzKFmPOPDYZmzH6jrJGRJRVjXmffkgmu9mX6BKLIYZ14JYPr+k41CdKhVNd4O5q/XjXPS7Db3fReq4Z1IOFSTFyAwQrTo8O6ZrAmIqMgMSOTPYx6boE/F30ElYWK2lcZ6Ret0qWgNcK+udYGFprX+iL2+Dit63Fv7KaKUge4MtxR6Ce//uD5xJk1Vbhw/yeOCd7w1JMlvGJWj9GMGZyWY3zIAOz+iMyKqZg2bH7JSr/UfDJTv+Dlog6PhU2m61BQOh8UQOHEazZu/rohbIZV7j5WFoQ5Ulc9l4MSekTumKhgiDUlg20DCBQ3b6O+4ZI6rm1flxlY3hTJf8fAKigmGxtysTnAxTHyIBOkxeoriP8080blkrg/dwHRgSDEaUnx89PpPRO73tzJz+jdiPiSBZKfZORjSxbLsUssqr/bKUbnxDsAPHS5lJz+xH5hGDx/NAxEmlX3cMGaaaafhiXoRloOk41P2mBIYza+Xkt9bQ5uFEVRzoMcNSstmo7K0g0Oa+RayWOQ0qPJOMrmeOt4SSyMC6oqUyxS3HrSM5v93QOmFeUKK+ubytjHcE1mw0QLHIZiGOY+I6LWWYVjdvpnKRtY3anFGXxlyxDb5TSWHI4XHHvdfZ7jud3WkWX72zNvDiyUMT6blXb/VtROwdoeSphk19D7bRHBbWrZhhRHPW3xlTNjEPL9thhMhKqM32Pk8xMXhgiqI3GW4CHe4GJXvui8lWQ7FXlD3n/EXTSKEPp9ux+wgP5U8J60MWlkboaqWdLt9aT5/9+uX0t7/n8X0V5MZaY05T6YFyEIeKihp7SE9hJK2TRIgfdrnMaFAMMZZ+o19jK+sBu2U0m/Yi95uENk4w64cMPGuAwFZy7dnzNieX59yvB2LYwRyhCsY5MD8YfF9UVaLnIJIjVmF2zYpH5tKVm5tax7ybcwSaSnUrmiZV6YQ1SQk8ssnd1av8rcXOLKzU1AckUZwm8Ko4NokkbIA1mcr3SC3dr5181Kig8375DFQ4BAltpHq5kJ54aM56jXyvVLUObm3ezxrZqkuZulIup5kJS5KJDhhdk1ojrW7W0pVba7q2SMr1Vo9716qpqJqtEOWp9DPG9szO9pd9PPDON4T5YDExFER70cAlPuHc+xzdMHDTYsKxuZHxggEjX/4KmG7eucShgrKO9xP9AjUh88OiBEcKXpMDRNOJYVTNsYtTEAODZw767XK9NlWZqjby7xU1e23VFjL+YTYqSvfKILoDMeyI8jZGg+idbPOVm+t6nZIfCzxvkMrOrR0MIcZvbKW/PH1a7+iINdjmG5lEDJfUQNvGaBGiIji1j5yYFqMLz8R4mu9s+WOw7Lx3b/bhNuNM4bgYTs4cmcAXR8lceNOaYcrzTXPh0AhS5FyoU+NmQPcT9Vk0gUUJ9K0wvvmglqGsdtkcrfCdQuq93eye0wJ8SJ2ynp46Nau1hTogawFWB+O2tSAJSJUanZ0+Uh37joFVRWakLOEI/k02/CZrWKI48Nna9zPfhQ2vtVOj2JaU/Ma2ORdGfchx+9+kkHMOHup+QlKYGQStVB0jyJZAUCmNMQ+brfSN1xe0FqMHY9CziKY54Ao4SMx9Mtnb3mxFUFguwJm+c0AV+PSuTGQ5JS9YdQVLVtVr3hYcZxt77jgcl8QASYrZ6ohjSW0rw2Ejm0fwTyJATA3+nIwi9faLLamqZU4L1/nS+UXhjQ/DgLXP1hqwv+ffuJWu3AS24Rn+PqPr0e3SnyS/eY8Lt90FMbJKhHimnY5T0LCxquYzjh77UewRqjYxJ1SJNoq8vIMXlcdhEik8UwKqE4cmZW+RVo++ItGD+r5qyRFjF5PDWGukG0tjyuKyJy5vwL5jgnohSIdthuWL/fSxE9Pp7JVVNZb33gdLxJjtl/BNy9SZuQ/XFjbV/xHCXdZozzdYj9QgwbiQbQ/WEgIAeh6MWcz2RGwJFe33PX1Y64O1DLRK/Sf1mvyNaDjne6FQJCNugZD1bx1vpfS8dAPMnoYP1HtWVqU1NVyulbUWrEyt9Vp6+NhUmpkYSeevrklT5ePvOpaO7KMk0lsx9lf31lvYDBYYNDVcIpFcLVvmMW+ABvijkluulNQ8RbYh4w52hg1z+jqOuwk7lJVtwwFHAhuHkcnPz088NKOFxwKgbBROnBoYXIwHx8AokggS8lE8Di/4NKfacxYVNn+iXWNxCVyYyeUGbjSyToG5HmaQGGPhq6t5G1GPhtQflzfq2gStO7z7xplaYC7D5VRuWWZ4wOB+iElGWEJz1nEicHhwliR/7cwwZCReOm+COE+e6kT/dzrImNF05HoGQ4yCU7vx7JwFQ0GG0acF7demZxeye+Ej+IslGV5viq6N0ud+oj5jGM/2pP6dp+e7VyM2BOHiQwzHS7esL9aACUp08NFkr6S+6E7l3PRo+vizJ6ReCqtD3nHXhuvZa1Gu0Rjrgkz0AoR41PED4+mHPvKw8NzMUZo9TeXUysJkvMmuetI9o1OLKcm/wVX2u75MAbwQwh/gMo37XyVqP9e56armB78nK8c8YwPljxqdcAzArZetbN73fgo2ZjhPvkMiUpq3nYdn6253RidGfslZOd2ETHScgAB5Q14exqIknv87bzs7x6KkbZlR42sGLoDDtKnrRJCKEnxUOhSM9DnfqBB0GCSKyhriFO23wTw9eWhSmV0gBXtJNOz2ziES5AOPmSUVGkGFxxwwN9YyqbbGeB9zbnKimuYmCHatWTI/Yo/IC8ENGsw3q163srkvB1UUhp0Ek7i6g3XM8e98t6pSqnqZyjSVHyrlrGv9vG39RyTvXjq/pMC23xzLOMAzob3OXOTcgL5teFBvYnKsh/7XpPN2RiX2dOHwRasZCqAWZApD30rp2tJm+torN5R8IoPPvmgN5KbcjB8SVTlgNvS+EKxE9ZtqKyN6zEIALe5+PAZhwytlgxahyOx2VErd9VZ69cKyniVNnCTovvry9b4QpgdpPNDOdzSDEYGzmG1hWjbMKMWMFi+GMlg5BSwrLyMGMyIMNXPJmhUsOzVoarF4yHi/dmlJmzsLA4c4nEPYMKCDYqmqkXGiKnw2C0LYz2JRktdBGQQEI5o4CRoyo+I8qSwcsljCHLvDGqpbanIEp8oxkNo2kyijMEzVlQ2ezBoOBkYMNoS1jVo6OD0i5wCnpV/0LoYPx5MZDVQYFlMV6yeglu+oD0OWlb6ANmybjDhBED9Tkv7KyzdkcJ4+NaPmr7sdu90SMVlUrZpAuZcsaAQ58JpScjRMakFzIKoRecU447E1Y5p3BKkS0CC838Yzp2fF8asqyz0+NveRe8d9ht/bHGPL3OA4kgFVxcQpw4CHaY6i/li37n0+y9qAEhFM5jsfOSAoCWvJoErw/5uyq9QDXZI+aLpCFRYF3BOHwEkWtIHxYCXVrCy5ORFBtRllfNZNTMvAt6o3IUf7ZZk2ey2YQaCpxGnlD3OLgFt49Lr1h+DkShCsZNjfEBqR6BOOD02jriVQzn0fz8k2bqMxw0nHTpgjO/g58FnOoXd9xEc4BsGoQQmCGYrKnT0vCY/4jcg3kQ9abzyvdV/vON2wUl1d2MzUChUcKLi1NSS2KLeR+XMOSjRRH7qz0MFj7K8RcxgIDnZ5r0W+3fzZO70j4bgzh6n4PnV6Nh0IysGVrazyrLVQKgr6EJAFBaw980B72BBpb+ZayKsDmyCLPUMFK0ehSBa6wz5mzDym6GpJqovX1vQ3WVsy1FJ+9MVSg9LWE0F5h7p3KAGXO183+fa7zCG3Oct1j/m6o2pMvw/rNBJr0v/gjyg7O5loVVipwnkFOE/JSBX9tYuL6cbStmwax2f9U/FjDxJefNQE5ep+z6EPhoGF9cSaIbvPH+zf8fkxZzWraD8L+2XZdwKdTnN23BPsLQ44vg49Zpdvru8r9di3YjzQsBM2U9YRpRZK/zRVkUUNx9tU1lqpqs3Wy2ZE6GqStNlNWUyl2W1ELCrp4WPTWkjfeONmX+YQJirOLrOSctrLNF0Ic2VGhyYHNqmjBydkSIVzdBxoiOsYH3BBWGewrcHZSqdzNIUERjKTvsVJh0s648i1rIDOKVgEnKoPpUai/qDy86+8zfgqA0+GXkp1FmxgmETFNj2SvvmmqdrFe+OcYnDesxWjOAyxEzLYfCvRe96a9cILeke8HgaVrOfWdkmZipfOLVmpPQd9yF/PbnCILMp34Y5BRlZTwjfzwHbTaMLGYk4YkBGjslRw4wINjFBMjaEflRVqZ84lz5AG4f2E+WY8+tBsOonwzRVTAr0XI2BgrEPDV1d1T+cnR7R+gYeQcWEuM495DjAQ3I6fbKtcvLZ+VoEimyzzR0p0BD9yyuydyni5A9tsWXULxhKcftYdcAWUNdkssSdUKypeSctKygrKfaN3CJUywr422GyhWaNigk1hsxKbEFzAohw0URAaNi2ANTtVKFgQix0YFcOPBbI3lrcyFU0L+oyGkc9u1di0wZnh9Nj3T49V5BQViwQOBHoFwa2MFSJ/13qeh2fge2FZkbk3xdqqgnuYOOwzBccjWwbUxFg6HMmD1iXPPhrcebadBsu2kghijlL2z2xSCIX1+pZOQ60vksJpyehbwQgfcQnx/SgYd/rIpBzGSzctaznM4FZIiXXb1kg/uM/dDDEFCWoC1WYhfec7j6U/fu6yKhTGKGRzgD2IYIr101tlLHrQydoOit6dT832cTKt9FLRjH9weixt1uqa46xvEk7hgAuK5fOO/QOHlKx02IWj82MKFjTn1ECdOzeC8QHRTgQQt59dZ7jOkWxGsQCevJKmJ6tqIOaaWe/M5kgfsRdsOZG2KAIFNQtYZvcz43f6fLsue7hdK6T5mbLsGkkFcOcSz3PedzLk3DPWAv/m/ab/YUEGgQ9zRQmFglXtRB7RpHHTFGl7r5HfUyVkfr5tdjRLkDzI49uS+WZy/+Iv/mL62Mc+lp599tn04z/+4+nChQtDffa3f/u305NPPpkuXrx4z89LJdpKSbzXQD4oKeMA07zH30TOYD0xZpJIdyeVz6lM5upbZMukZOhZKMFOXAI+PwJ6oEXmODYcV8pARKCXbmzIGWeSEoHiiD+M0MP0aDo0O6rjssApYTPxoUUiqhdDgHdY8/vM+cuiYluAUuDKMj5GhydOYMe7GXVfUfi49z11SBuQReAlZQ26rsVFE1iweVEh3seCfvnCopW3cuwpvYPPmNhCSmeOTqdTR6ZNBVBUhQVVExDWgR4pgp3e+xnnkh/LG7V0dXFTThiOEA5Ndn56dnsvueo9AxTzDDtoeFtjmLB0BtmBQzNjCkjANJKBwAgZzZd9WPyyzlijgMibShlxnjhOj5+c0bF3M1j341oD0vWRdx6/p5CTgCwwZ6Wm5/0F4HSRBv+BD55Kf/MjD6e/+72Pp7c/Mq+mIpxM44Q3J5d5pdLswkZ65eKynPBXLy6m59805VJrGup8J3OYtcYGw/zEHqxv1/WcWEvgScFUUvIn24+zSaMmdIMhxMHGFexKwWYAA2NMq5DtFnymlcRc8ezjBwWNYc1SpQOaxrogacDcWBKTQDGdOTqlc6GZzhpJrfcE+yHWFW84BubEOuA4MCHIIXLuc47J69Pj2LRWWlzZSksOuYlr7pchZR8Ghx0NWXENEyOlTCSFShRXil1FcEPNuC5GZE2XVkHL7veAZ4/jwXs5b7Fk4GQRhLjdMAfOYHUS3ckdLxx1OW5Z2cx6XRScNdvp8YdmhuIgvt/WWrCdsFdhd/ay3ph1sluuPxFjerysSuS9WLskL2C+IAP6O58/l5ZWttIka3aW+TyeJqSG3E7XFrcE8+udZ5yj8fX7C7vA2EI9lu9lzqBhwQfGR6vWnOu9KCK+yUGbqMjg8Apm5oJPmyiwOqc/Nqd3bkZD/d0O66mwtbKCxgjNk1vQ+Fa0LxJCUtXSelR1y/ZB7Ao+QT+IFq8xN0zgC7XdksRtbC+ytc++H0JE2C9T7LREXt2dd6sWtkRXiRONn4LPhI3i/UZHOOC6HN5FMIH6asXX8IM8vi3O9y/90i+lT33qU+lnfuZn0q/92q/JaP3Yj/1YqtUM6zpoXLp0Kf30T//0W96gwkZ14vCkSmLWBGjQEwz7e544lP4fn3wyvefJg/q9baBIfRfT7IThKUPWlZIME4ryJxtClGOClUTZGZVCOw0k2abGgi4YbdbZqyta6GxQ4EhNiXJTixHDaBivlOo1EweIRZPvYsr/yDAFPsv8Ylw4b85ZXdGNlkpBjx6b0vlfX9xIV27RcDQm3ltBS0bKcsLzDCty9P1CeJ1o2Cgam2l53Zo4gllhELc2a5XgxRz0lgQIcKDIPHCOODBkFsHQUhLvN3qP224ZJEBURuqst4hd9y1rAdrZcCur37NAonKYg7/687BSPs6L5K4LhTQ/BY74WDp+YEy0VThABGYEFNCoRRacOSWhBMSBHBKUbyzj+GQ2eW0Yg3W/rrUDUyOZk3wvBreIe/mBZ44ocJNoxnZd/Pg3lze1wYv72RkxVFalfCrRmWoaH+GeGz6aTYFeDcMdO+zMve68A5AvV7NBkYFDhOLVS8vpm2/cElUXn7u+tJku3DDcJGuFLGSUpTMccy6Qy1dgIhigLMvncPYvXV8T7MMYcqxihVPPNRHIAYMhIHjjyopDYZzezOEW5tC6A+VZYEQ/KPcbt35Jz4am0//nDz6V/sHffFv6yDuPyjYKk41oy1hZuHbWpnDgOzyXuE5jXzCHX1nuLRyYba1pEhys63dD63dgIk1NVFMRB2AIrITBuM0JIdPNd7HWpyZYX1XZZu6V4DiqKtrZwmxq1TqvXPbYJRwY+gAIwoAQ7Tbut7UWbCfsZ9xj7PxehiA7OY0BbB+Z2Eja3O1gBtraIbO9LdgQP7PPjgPLmx/XejSoVcfeFnI2V9SVoSQpvv1OcNU7Yq2iJslxkXJ/8eyC7AHBGQGb+iacjcVgSca8g7NJsoS/GVu6Dx3p9l48fcz7YXkKdnqfRP4S0FRYVSyrjM/A3yQDZycQ1ilovmPLhhHYi0ZMmiwfOW6Br/jXPdjlmVhPVVP2UwnARivdXNq6jVJU91Uc42C76+lvfPhMeuejB3YkadAabbXT8tqW7NmxAxP7Sj12XzrfGKJf/dVfTT/xEz+RPvGJT6Snnnoq/cIv/EK6evVq+vSnPz3wcxiyf/JP/kl629ve9pY3qMCz/MIbC2lpfUsZZFYRzuZjJ2bUiEUG+vve+1D64Y+cSY8enxbGm03i1spmeuXCkrrLMdpq4pLwjFHosQkE40k4obc5isFCwuYgefR2unprUxM5hB7YRCgVz0yBo+aRdaibDBtnjCE4xxiZwIey0YhFAR7bnIQ9C+Hho5PabJ98aFZ/kxl84+qa8Npk764tritKBj7CBoYDqI0+hzXrxjkbvjawlsNaaxxOoCZcI4aO7yaqZlETYRMpc31slr35l0HlUAU+MLdEk8yWGXlgQPzcDrEUp/vb0ZHoaRSMgKq7smAKhcydoGukAvD7X7qojCr35ZFjU6qwsJGpWuB/42BxrXmIT/6+itlhu6HGF+bCTgbrfl5rXI04sGHNvEdHJDvN/Li2QBbG6MrGPOt3/vpq+oMvXxD+n/vMmhR9qBoVO0oRIWiUqUTWmqYi6sFyymgAvQTvpfCYWxz7lfNLLtJlOGregJMZVSE2PtkDp/3Lq98y/9ls2QSDFtD7prT2eA34ALCTU4en0uwUc8gayAjgjh6YSI+fmskgGDjkY7kglXOAzhKHnvMX17/bDUrL11De26jp2rkPX/7WDf37r3/oTPr+9z+kwP/MsSlVFfg9wkXYmJ2yfAEHigohJXpjhzGpcGwqIkMEqIfnx1WZIIBSNZHMq9uufNNlZxYZtlnY7MC6+j1dXqvrOYhRQvfRSoA6XwX6NGlGA2n3cbkn4Pzn4Qpf2Uq//sevpedevbmv1lokk7gHEh7aYyo29qhwel0d/J6tV2PhaXetLeYnzDIZmYASUd4TANxuDAq8ioIz5p72oRH2o7KqsgemxwYG9XHezBcqyySFmDcEkiR2WJOovMK2owZt9TcYhW2IuIX915p3UoJgGLnt/vWjXFRzaJ/37rA/Rg8Gg4TT0blRBZUGn9tOS+um9IydUBCxwz3PYF8ihTCGLeG0CcqlI2JEDiT7OCd8GxIZBpFzYoM8jKzn2FSXLt1aTx985mhG5dhvZPCvelvJvRVY0byZ80Edb7nz/dJLL6X19fX0oQ99KHtteno6PfPMM+lLX/rSwM/9+3//71O9Xk//8B/+w7fs3MgufeP1mya80rYO3WV3AG8sb6aHDk/pfb/7Z+fSb/3pm+nFc8iK4xRu6r1R1jLnrJCuL2+lb765oGz0CPRBfLg9eMFFFjuyAUSdMbmfOj0vZwscHxktfi9stBYGEBdbPBLgoGkKXl5FsraDBw2hRbxmUDE0QfVEZo5NCIcaXOg331zUImTxUdImwmbTposbDCSb45HZcVPk67mOcEwwcNr4hlEH8MH1AlMhI8G1EsAI4uNNqxyPxRrsA/ngeqfJGxnkfFYxo3x0KrVQFwxoTDRgaTMPzLzTbHWy/Z1MPiMLrCjtEbiltpVR58e1CVLJePHsUnrjyqrurxQ+gZcq42KOXRcTTlybG0wGRpesBOIfO22o9/NaCw7nEMO56+P5329cWhF0iQBLpdV6QzjStY26MtCvXlxyBhRjwcnPXYNcGb6bl8XMA70giowOa1GFiXXeI6aUP4eAduHgm10gCMcR3BKGNjJZOLCZKmrK/e0sJqxhnHegbIxbPn8sE085fkPwuNNHptITD82mp0/Pp6fPzGv9YDtwMg/PjabZSYOoMVfEyuAZTdZVvJ4lAxDUGCkrcwXj0vlrFrSwMcoxWt5K1xdNFZH7eWPRguFQNRzExsDaMqaDZtYcRxD6t7/70fTIsWk5YsEhzuRYiiy8KfRYTwuMUCqLd88jOd1OIagmdTFn2PO0TF5bCQAplDori9hbYA7ypraQQI8BLMHmJ9lFenga6Q+/cmEgneL9uNa4Z1RqqUCev7F2G8vUnY17sVptZE69rxdTdLXeJ+YWa9aYNyJb6/NHTq9Vm61/qZQmx8vaq5g3rLfiDg4f81jsG00LWqGhZW7g0DL3WU/qg/D3R+Mv8E7WlHoqfO5JwXKH5sr8YC0fo5I7O6bAjjU+zAiHlz1geqwqYaJTRyaFv45hlVSHiw04biSNqhVT9SXBNjkOBac5vcwTqgBkuttegeY1AhP8it7pk++X0jov47w3lXzg2FzjboPP4l9cXVhPv//lC/LBHtTxljdckglgHDt2rOv1w4cPZ7/rHd/4xjeUVfiN3/iNdO3atXt2LqLE84Ghfu61m9pcKDlvb1tDTtAEsjiZHC9fXNKMY2KyufJ+JVRyzpwxUzR7molsE9mpYaWDJ3XctStyUVIG8kGj3rUl48xmMLlxCNTUkMnt2mfBjZqks3dra4fqSGOLa9S7yflaro9rYa+jzMr7kL+lo1vvd35qNlo6n2lYo/mE+5aJBPj5B8NECBJFpmC3EXRPGIa1jYayHpTSCHqUfV/YyOR8KQ0enBuzrI6qE/3va0BGe9XQIkBRNsyd81Kp02DD741b1TrJ+Y5gaXHNkIED4weMASdjfrKSjh+a1D0DKgDmlHsGD/nq+nbG2U7mhmpJzKV8g5M5NsYjyws4MmR/CJTyc3i/rDUEKz77/OU75ljvHR1mHyTr7XlGIyTPjM2c18mIgf0HL03zsthOKHN7NSrYZLTmU0Hra6tmuPpG06iyGIPOuvf1cCgUyPm/leWut9PEOCwP82lrq66ANi86JOfe5xp87kb/1UwjcjKqqdVqygEG2/3NNxZ0njRlwqzCOmRNMIvGx2BnKWoNY0PkLOh+kAk2OyG2hlJR1RauORQ5ccz5Xv5cvrmRPvuNy+Lrh0Uk7AzOC+Xo3vXAo+Zem5qtRSgtd7Y5NhWh5c2Gst5IS+N0q2Gy2Upj5bKCB86H34cipxxwZ3XCroTUuA6PyE6yfg4qjawVnKfOmrUVxfPg2lnbzBVdQ82eST7z3fk3dh87Vk9joyU5hOeuroqq9H5da7324NTRqfTBtx1VxW0oicTc6DfPh9SYG2qwJRIAMfez73LaQJIuiwqUOlllqwoHT3sn2GPuEGC+96nD6bc++2ZfsTP14kjkx45H/w+ONI41cyQccoJV5ilBHmtL/RtSbC6oeqmK7DpBgc0r5ij2gmQQVa2dhhzuCj1QTe2trFMgqXFtg4YXBxzLDRbREgOhIs0+xT4WzGzsMb1igOEg67s0Dwrp0Ox4+p73nhS9MtXlYMThj85VBBMGoSWwYd9hXQbqJF8BVlKi3k6rrYaUO7/8yo0uVrN4b2/CgkHycqRSkg4C6/Lvft8T+07Qal8435ubNtmq1e6oaGRkJC0vL9/2/o2NjfSTP/mT+nPmzJl7ZqRY4HNzHclgHLubK9vaXIA3hHqcFrlnhyhpMzG/+30n9ZnPP3+1g3/y5kk1+HjDIdADmAEOzI6lVaTafeLRPDLMsAbMdmq0Guny4ma69tVL6Zuv35Tjq4y2i0mIg5xufhcDYn3iWJvgTn9WAq5tbNTgK1zrgZnxdPrYdHroyEQ6e3VNJUuwxwyCDBztwIyK1gtoRAPaISvFWRbRs8vetJL/Lv09jCCNL9hmkfQv2e6UpiZH0sMnZvSMCAxQ2OI7yKwLJNKn8TEUSXFAeB7W3BXPPtcElnPOzSG3RhPuK1kRHGZjJ8Ep6DzD3qHDCDtqDg73B0Gfw3MT6ZXzizLYweUspTd4d8GhK8tt80XY1EopE1yI50UWATyrOsiL1lA4MlJJ1dFq1xzeD2uNOfobf/J6On9tXVlb8cxv392OTrDDfYmmIJ4hmFFuYnBQt5m3tbbm0He845io/6jkcIfXaAz0rFtk4XC2nnnkQLp0Y10lWOY9jl0ote0lbghmB4n0aD2Dp21b0+TMWLq2RDZ5M3PuDRpdkMNKcEAmn2oLrDa84+ZSzfCpzlzEhozdwhHGCY8GUO4Bypk4ZMxnsrcqnZMPcMgJP0tenHs2YrSXYn0iIByzeXP0UCF97aXret04h9tpfLyiTCBKtXmfTjbToXBspDRlqVENvQFh3k0F8/DsaJqeGEkvXVhO/8vHH0uPnLwlBoq5mTFBsPT5kXKaL4xqHWa0roLyIBxUdwfMbCDVAaqQPGvw40+enk+vXljSszOnhLOz+0t+nWsJx45mW3PYCIRd/VJOR1PnjCPIz4K3FIp919z9sNZ697QYJ47ac5+eHElFqpE9Cpc7jXxz6l5HPolAEkSwFX9BvSujldQgS5QbQa2p9pwcnKP3PMyBtn8TrCFidfbamua6bY09gjRy/rqrG9jTtU1jLwo4CfvcgZlWet/TR2SjlAADO+/wrM2tZpqDkGGikm4s2jOPSk4w8/S9FwWj1zPmoIKa8Q/PTyipxNyi4hn49d4hCBywK1h7tGeYSiQ9KsxVKlnA2hgRAEQlKoO6ymaZaJRV4Quybx9590PpI+82Bxj78NLZhfQ7n309SziyjxIg4w+8en5R+1o8PyUUcfw9Oog1BvyHJlnsevgFJkJ0e6+AoEQTVe3V+DXPv7GQPnpzIz37xOH0oI233PkeHR3NMHLxb8b29nYaG7u9o/xnf/Zn08MPP5z+zt/5O/f0PJgIKysdjNG1G2vp8vWVdH1hw2AcmrQ2cSTI4A4lm835KyvKglzFCczVizlm3V9gcopVpNlOc5Mj2jzBUw5SqNpp8Jnf+pPXxV4A3ZDksZtgl2kUsY1WGNoyHL7WSEjDJJHkoCyA4cNbwo7iBE2MFNO1m2tpWowPOHkmec/1w9qgrm7YVUqofnWUFU0qveMsBqY9D5vIusYFqdklc+iLmMxCodBMhc16evnsQro0bg2Xh2ZQP9tM2+rA5vm4YM1tMB7D8pHFIGjKNgFvWLRypjkvUUmW8IrgOmao4/zJ1LXIig8478jCqKmsWEwIJ1Le5nhvXlqWQVfhA8PJd+Jw52izjMeb52ZCEzxH4SE948FnShg18I3jVTkDfF9tq5YWFztluunpMRnb+3mtAZV47pUbJgE+adcSnMr95uowwzLcNgc5RrnUFs2m3eMOHtjkmlP60+cuCVKxslZLC6u8zzdPp+HhPynJ1hqab9bYDAwBCJVlxi3zNdywxknLgMfPVDFeObeQ0Yyy+bbqfK813QZNIPhoMuHCsbZN3RQYG5WfZtCGrdUylc0o2/LztVubxrBSKal8DMyJ6koMVegkKGO8/0Zdak7n+kZNGTTG+npNuGecXHDnlOmxG9ZQjGJt55jBzsO5BMxOWcdiMa1v1BXEAGEDi8y/X7+wmN64sJCeOT2XLl5bTa9fWPKG4pbOQc701Kg1gJHVJijPmgnJrhu8SIImjo0n0H7z8rJspHpePHsZ8wtnoeo6BGE7uc8MQfJczbglTmOD8XFMYdZ5Bovr9+Va693TYly/uarALLKYvT06O407rU0xB8DLB1RQzBxqYDbHnzltdJm3f7ZRb8tRj/PcyanN9qBGK7189paekynamh1gRgfVrlCAfehbNT+9OkuShLnzgacOqaGYwA+o2EbD1hx7JfBPwV/qLfGE45gvI8ADnMz9ACAYMJw12uDaIzNsQS4/UEW6vrjuPPe2xvsN2QwFJEXpUggWVyim67fWs/2ZoaSbMyflj0TQL8E673lSH1m7LZjKe588lJaXbb5Q/auOltIjRyelzB09agriqX677Yxco6CRsXH6OVoiy6CrB2dQr1wxBV5VFDsQsfzgeyJxMjVWVkPnZ796IT10cDzLfveutb+s4y13vqMsd/369XTq1KnsdX6Gaql3/OZv/qayCe9+97v1M2pJjB/6oR9K/+gf/SP9udMh9gsfPFsyTFaKJUtlk5RZwaKrt8JotNJrl5ZvgzEEnizwwBlDRQsJZZPMZcHtdYThMWqgZjpaNSVMHG9eDwVHQRmgK3RhH90r30Rw/Lrk3D17vbLGhmIlP0pPjKNzYzoeG/XoiMFHiKZVitdCxqBFiavj9IZkOiO/yPKZj93wvVlXfa4plU5uPnXp+nq6cG1Nizmy2GVEDWSMgpe4YJhOPwfu14GSCRStnVv0BjPrMhWNohvKbTcivAbMhUYtskMMyQl7gBFd93kb4sG/NcrhQDl+FMf5jctkvKwSkr8XvTdBG4yXwpWdCHVPlxln7nDeRmVnmwCYPzCK+Tm8H9ba5evrwnJSccFBC2fwbriDazVbA2zsDInlFDqc6YFn5h/lSkE9C9vbjcwR1HzThmniUo1GQ6VwIAZgqSkRw5qCo2nqh90nO4wzE5R2lUohgRhlbRIUAgcJdiKDidkmw9+sGQtCbU2sbDTkHOQz78GTFLz6cT4SuAIS0mpJZIU1It5mpxu0ClVLWTAo+ehtMUYUu5eRqWIAnWOdMf+oNinJ0DRmpbxdCXYW1iL1MGXyHOv6yPFpNVQKYkUlx51/7AxO+cnDk+l73nMyffWVGyqBc358FzCAo/MTmidUIbB7fDcwA5R/L1xfl13lrpJx4zOcAxh1rplgQZzmrZayjDg5cX+4RhwL1muXvIfBxnWPsQNWxm8pYDh9dKrvmrtf1lq/c8MxVH/JHSR+9uKo5wdziLXFAXj+rHfW25uXVzPBuZ1EaOwY9t1A+HCCByZtxIdtgXEkvGJoLqqKNPgq+E0+K8/+Qm8IyS56Hk4dnszgaASgDNbhB952NAGv/ta5RUuQePWI94RCM/ORBuaAkQXrD7uaJbBMDKcFdKrPKcbeygctWDRxKtYBbEGiBxyFo9ua/PFdcMqZ5+YfNFOJSlEueuG5fOiZI6mCCE+9uxGXPYX1xnVj9yzBldLqei1Tfs3ft/w/2Je4RwdY52T3R0qptdlWBQ07hB9B0JL5TupxMlKJtj83kgwgD67f2th3+hX3vfNNF/jk5GT64he/mBmplZWV9OKLL6Yf/dEfve39vZ3iX//619Ud/su//MvpiSeeuHcnFmnXvtAIi6ANN2hKW6YuOeAwOWgCf19ZsM0kz9c8TNk6cFrBeytJ3NQ2OkOptpnM+JbgIEbLFeUzMoopGE3IZxVyG7Y7zjJsYzRGjCiDDlvExZtrEhAg06VmTseRGR+5fSelPcPOdTZ80Z6VyCh3ZIyNUcW4yPdi9y0XZY4t32sbvjnV1mFu12jwHbv2EBxqESB4ZoznxCZ85uikKBIpxx+cHs2c3cCwUSLDcQa7zrGtVAZsxY6ziWGjC75szlDgR+MBd6gA7T5F8GEGsGN01bg54JqDMYLcd2wUOk5IebehZarrprApvPeJw7vi4u7PtWbXxuZB82AvbdWdjBCkUOOgz3P96TPpyBpREUntskR+4Ls+c2xa8zk2V9YBmw/NW7CjsNa/45kjyhb9+beuqSpGhvn6Ev0eO9OuabMtWdZNTc8Fg21waqxnrWmvvgQFXqjJMq+LCqDN7lBBCQcqIHF5ekLBVZyVgSwx7xWzCxtsrHvOp1KUw81GR5aK8xLTjppBTd0OR1vHdWYIKeDB3OMbpvDVYOFzkCGOHRLSBu2yhQBunCYzjiulV1EtWjNjYPUZZBSPHhhXozWy1l/61jVlbHkGBA2RvYZz/Lvfc1Jl6rXNZTk8OBRS4uWa4WR3oRbK6QSuEYix5jl3s5OW7bf+nG4nM7Ki2J2NLSvxf+xdx435Zt+sNbNJUF+agBr4+Y4GwzCjN9kw7FAjL8HaOhzOJe0pF6+vaW5Q3TH16P6fNbpL493nWSqJ5CfRF/LnvNb6d+61oNMd6jpzb+MzX33lZvq/ffSRNDW+rXkWCRAcZqpPBBPf/x1n0nilkB46NCGGFiWLpqpZY6sxDln1BO/SGI6MOECifRIxwhm1JFmIUjHi3kTgzd5O9hrHm3W7sVXLRIEieFe1XjS37M2Gl7f70JZTLTVe1CtHSunlCzT9ryigpCmXtZdv0gWuRSMm183cxx4Knuap+F6BPF6mYgVOXBS4I+ZXAD2xql0pTU0U0uLKdlYp03Nr0L+y6VA7E+Mz5d4HT3DnLXe+ifYxRj//8z+f5ufn04kTJ9LP/dzPpaNHj6ZPfvKTygAsLCykqakple9Onz7d9floXjl+/HianZ29Z+dFdnJ2kqynZb9pVFTRWhu5ZUkKnnEy8YVuwY38yE9KpurNpW05oHnDECXZHTPBOchGlNbBjM1NVmUQcBwlk1y05jAMEFlFo/kbSYtrNXP6/D3qEndnMfYQyoF8E44iWSacEJo7Re23vKWFyqDExmIP8Z12CexZO2MPsOYV4/1mE8fe4LRgaG8s78xzG/dJnet+rhgpiXqsbvs9MJ7urVylK7jMwb4yDNMWlG3eWAOEplwShu/L37qmJjXYCzBaROFSDCwXlUUDimBUSw1t/mTKyMqFUhnJKSvFwaPcMQ55pcsozfUGWL6XDxwEUaWSwZuis133uYUDsaWMP8/03U8eliN4ZIiswP241hBq4trUqHwX2e7eIcXINLynEJksjDxhW545APzwkw6D+Ng7jyvbGZSOZKupfJGVUaWsz0YUkDOdTnDsO+YVR0+/Y276+02oxtwcC7hNrIu1TbaIjBPZuHwVSUFtj2PR9uwT2Xv+FmyFbLZjSsmyWxOpQX3ImElZDofIYQGcK9/Nz3wv629uspIu3+RcmhlDi/q+egInp2R2hoiS7BQ2CCgWNskU7TYUcJBJ59rIrhkrkA2unXvLH/79O59/U0FHaB/g9HBuiI9Bs8Yc5no5N+wGTanLTbM3nAunSH9F3Clo64TpdpVPy96bkxLr11gscqJdhYJgMR99Z3cz5f2+1hgEMtC4cd9gsbiTNXcny5TvARONw/f0mTnNJRIzBHtZttXJAPJDdo++glZbtpm/CdD7iZnl6V3zmW6OqWzxHnszsuOKtpRG6MX01z50WhSTVGPqq9uag9gD9pOHjkwJgnT84KQ46rENEAVQLWV9cp2ce1SSIGlgXVhwWkjb23U9G9YqJ0qQqn4g9DaAVUY1XftiURUsBgGN2ErGLJglC8+bYz2qwktfULko6mT2r/c+cUg0yOypJBFIrLFmcKpxtL/3fQ/JAccGsB++45ED6ZWLSzq/9YUN0Shn1KkeXHFt6mFyf0ZQs0JSlZDkHQ449oJKPeepqluO3Wm0bGJ9YqDZJKnXSqMjE97w/eAJ7nxb5OXhQqW0+1M/9VNpa2srvf/970+/8iu/kiqVihS+vud7vif963/9r9OP/MiPpG/X4GGjYhZcwURkkcUUxZgDcG1xWmMeAznmgU0WbkzCEYy39W7Wg0bw1dpnyMA0NLEFP8AwERTopCySPjw7IidiaRUs65YZuBzDSh4iofKwnAQc9oYWK1Ew10Xj0rOPHRRN4sr6tjbqEBoq5vGcnkFmsXKaLC6Ox8KmjCxu41yjY9e15ZxTlePLHdo3sks8j0YrWEZMdjs61iOLpeYS5/Y1YRuHvkTzpFPDAak5f21NTkUbpTBl0sFhF9Lh+TFlwyU4QCMKNws4R6stB7HmcIH4zsjocewMeuP315x9z/rvMV2krGEOOoBD8baH52Xs6BXAiH3/d5xKH333KeH0doKb3M9rjQ2kVyb6bkcp5zBlcKCe4CerERQMdy+mHzLEtaYCbkbAIRjgM3EU2Gij/Em2WxR7i5vefGvHaXhJOEbwxodjkfEjM18cupXvgxaO3JlZ4hME+NV2Oc1PVdM6WWYcaQ/g1cysBsDu+xCQD90TsuaO4WZTp1qCIA7/JpP9wpsLaiZ++NhUlo0nmMBJ4rq5RhwNMl8q6XtDKlkrGlxNWrrXI/J1QWKiaSp4OPg4JmTZsAfMWwlI+SbP/Ye6FScHRyF/T2CkwWGBitCCJYOscINpzqR5Vk53AefabCC2gvJ793kZhItX6e9bazW0rkZGSw5j6X52zJ1gmQrGqw+/49iulab7ba0xuL84UBIWu5fR7oDBvQP6QFMs6qh/86MPi0ruU3/wij2/kbIcs0FNy+wd+HerWy31yERio9ec9kIe8qwbHdGkvTnfkfwJ/PK5ayuao8xNghjuJfsSgXiI6zD4+dHjMwZPbJlQ3VbN9kuux3oe2F9MZItEH8+EPgUhHsXW07mO2F87r9laY26zjnG26ekiAUc1QZVcSxValTsXAB+YGVPQC8MUSTFw+FbJTpkIIM3nf/qNyxLxI7HAueHIS1V6ckTUi/TqsL64HiqCPD/h+BUc2ZlSUKQ/o+0VJ+49miFUs2BoUzJAkDVh3iwAoanTRbsKBRKVm+mDVBkfQMGdQjsQ/H/JB5vDwsJ6l7FnE3jp3II4vQ07aJOUyBQnjI2FTLCw3979znFi8sWCyf8tMRhFpXd3W8XxOV6VvC/Zb84v+fFhw3ji1JxKuzgHYNAwcMLBIrgT1HnuQAYG2ZxeM4hkoNiciYKhxQuecKNNNOGeuKY4nxAHASdNxonB8di8v/Ndx9MXX7gqiqvIuMcw3Js5G7weG52wlzVjR4hr49/cf2WBZUxtkyVzhaInbyUrzGbKPcZwqelLSpYWVB2YgRbSoEL8DjlbDAflMJwLSnkYFL4rymzPv3YzXVlcT21YzrxpJcO2exm0UiqJMjCEWfJjL753XrwFB2q8WpKTARvG4ydm9Dsyhg8fn04/+tfeNtD5np+fuC8bU/JrDeaXf//b33T1tN35cbs3ocFMMxbk5noMevoc5BQA7SkW0nseP6R7/fXXUberqSTL/GN+EICyEcCqg6DM977vpJxv4EvwXbO+2NQQ8mHTEr6/Z4ePypYCOV/75sTZL4PujJ+jEhWNSQF74jyZi2SNtFG7iE72+QH3y2gSzZ4pe+vrAxpCqiUmb28NhBdvrkuAiDnN+iLzBXc89wnqNLJdlKclvrOwqbUZmM1+mUi+J5rbWKs4W+9/6lB69xOH0v/vM6+ZgqbfIK4xyuDYlqMHxtIPfOCUsNzqfUht0cZhS7hYg6h08OI4Hd88u6CbBxZfDBk08bn9yLNkkE20nhOnevRKou65sKjd9js/p4Rdnqim//UHnlYwfD+vtd49jYEmwv/nvz4vR00Z0nsweu+TMTzZ3+xBB2fHna6xkP729zymngxEithbcFpVVV3sNMHnh/U92PGUwfWqxm62lOcbfUd6tmWrTvYTuRlkcyKID8eU6uv/9oNPp3c8euC29xK4wyxD5htbTGD++186r32XOc1cJTCHOQx4Fv/GvnA+9FAYZa7tq6okubJ10IH2smqJTrVSTJMjlfT4QzPp+z94Kv3GH72udZA16zvjGp/c3EbAqpze9eiBdPnWRqYPYIJSdi7s+Twjst+s9aAuxO4QCLM+qHxxnqhsS9J+xNjDcOjJ7JvSpp0pED6+HbuuHqmU0kOHJtOP/sCTabxaVvXgj58zitmzV1YMDiecuDV2mj9SSj/6ySfv+7W2bzPf9+MIdcsvvnhVRsoMtW2aLZeZffLUrJzeoBgKvCeLNqj1oiSsDTn4OaN5JAdLGHbEnMMIMRbXTJo6YxFRlF6Uc0B2FEeSxQMbS2CyQzyjVCBY6Bwb51Md8us1LabXLy1njVsHpqtpfLxq2aVc4BD/MjpD+24yZ6eOogxaS0tr1rpEZm1irKrMF1gx6PSMrqvTpMmCY8OUT+FqY8Ew4zBni/iTOdWDDDBnjEHgPdnnlNkvpvlpK1PzfHl2wpw6du3krGXarEoArKOibDebBHzq1VIpTU0h/27sLsKzq4RvDAg48GTTMfLcw/yGNOzInqM3CioDKmhTS/i4zYMNYWV5phh4YVj38gX32bCgsaDmuxtL8LbvDr3abRjWuOe1nmyZNR231f1PwHTxBsxDLXfcLKDi3t4kw+NCVcwVxLRwwgOfHU1IBHTMNzaUDjSs8/0qlIG1HK+k9dRpKgWH3um9cDyns4HgNtfbpuxHVQqnT+XmQlXzdXUTVhNzcK2kffvdYZ7Xe9iH2PhN1dJgADi3rEuC9mcfPySsJvP4kZMzet+ff+t6unxzTdArMKlAVaL0Lf7+PulEq9yQzXJImEO+YEb5k+cu6XcouqZ2QQ1o3PvonWHQiPcff+9liVFx3cx5ngdrEccxdA/gR6cpnKyhMvtcr9uGCF5uvyfmmGFBWy6Nzp8QIrLnZllWCxzsWkdHiuorIfPPNbAGAxu7b4YvgkjW3IvRm4FWwOiwIJwknpmeb6OV/sefn0+HZ8YUuDGoNMAe0m9dB2yJ4wXlIw4dyRLW7AB9o1zfh1VTgBnyHb0Jn/hR+04fLHj0jihwZ50Kdtr9paoQURlHDKjRTucuLaaV1Zqur9a0pl7bX1JWOWM9wpWPQnQwzkTF2IScDAIXQXU/XQyuhSBmuWFUyF984Zo+y7olGcf9Zj/X3tew+4CtoOLL/kRFCwx2JL2AcrFn6bpbpoY7Ui1IbwJfAGcb2Xns3euXl605GrYWx5jzvWggCOrifkZUuXGgDXJaVDXt975wXtUD7iTBCVU87Bn+ipjkklHwsk/Pj1eVDHkQxwPrfOPY/NkLV2RojV6qbfyu8qHZNQveLQ8FnJWUzPl2OIrDOoSdFPTCot+IRplkLICdHO/ImIWMbXAPs1kibU+mjTKNskv+Gf4dzUjF4poofs5dXZGhKpZCot4yzzjeAaEQXtt1qzEEJk/byQDBrLC22exyvHsHjtPoCPyltXTuylqGI33sxKyiZrK13IODc1UZQ2SAeQ/QnoCS4JQH+wr3CQowa1K0ru0Y+bMI1cmwn2BKG+5tSIhDkbRF4mT67FzbiuKts7qd1rfraWl1W6IlOBcmtFBTkEOWAEOILDf3nmdq9wdqRsRBKnJi3v/UkXR5YS199utX+pdEhxi97xXuD3x+ncywNaPMT9u9UaZhuyFKqP06uHeW5WgrIyk41xAjHNth6QjzDrECHM8CR9bFejxw8spZVtdYPGzjolyKuBPPgFIsz4HKg7i+nVfbOKRz3+k44dhAOWXhm3HmgCvh1IuG0k4uT8lJn4FYEFThSenI/Fj6rncfT1988XqaGqtYg+YW1Tjjere+iNsxs70NrNF0FswRlpEu6HpMAfSiNkrWLcIYbMoS6nAVP5qQgY+E88b9Yg3To9A79NV59pNCUhXNuLRLaapcVNMwx9dxGvSwGCNL4M2NSi2JoxsWk2i6VqO1Q2MoYSsrWjIFUuwJX9KvFzIaziMZInx9pkmAlHg5zU6VlHAR/t9Zcsy+G78/Dgu27CuvXE9HD5zZVwIgOGxRrXirRsATmOusD1NkbafVzWb63DevZnMiiuqDWFeiV8aqDrZ/qk9hKjkn/84j1oIULmnkLZpOBiMPDdytCVPsKcAhCq305y/fUCafoAsfIdh46IcSLBG7IYfXDAzrKPYMfABsyhMnZ5Wo+dbZBa0j1rhwzV55YQ8UWCSaSgfBWNV4SeW6kS5cX9X3nzk2laqVLVOg3aQHzBQ42Z/URL1lYlsEEXJ02zb/J8ao3lmibGzElF4NlmWJPevbKqS3PXJAiZKLsFRtGk95NFyGpkh2fqL3rciemLR8IbU3agqi//f//pIqHtidmDOcI/OGbHqzaXAdwe0cV/6gjQfS+caof+Xl68JFsXDg0ibr2K6004g3OhJNkvEmwoe3m8a9MCYZST9MFS0U0drCgappILjCPaubd7fYEFmgZDxN2EV1aWHlWCCwAtxY2dZEFm/36rYMEk2VeRYSc6aJrtfSpZurUpqyDmnYPzpOaag5BlY5GAFuS2R588ZAI5BrIKQRE1tGuRds34HpsazbGcOgslWjpSiX6JYGi4MjZCaauoezE1XBVrimUNfj2q4ubgxuaPVmNWuOQsRoNP3A+06m//n8Nd1DjnH+6mpGC4WjRVktpMN1P8T/apmY7WiModFtgojexHQwNpTGYEoRZCVZNkFZhKlRlcZmpqrpT752+Y4puWJExt6elRlIqCPBq1PFYHBdlCxnRvdZ9i03yK4Cb3rz8kqq1Ya/Y3kYwV6DGwIqyxYbRIxsrHoMVtvilY2Gat6Nc6Ym6eUtNSZRSQInefbqqhxC1jTzJUSner8rLyIixhufw2re3yFyUAIJlVWHc+EIPvfqLWWu2Iyst8BgZNstYx0Z1gdk3QGlUYNhwzK5UqZsA0vYVFC3sVVOr182R/ntXvLl90Cg2MR17wXdMFs4zFAW3iFnfC/OWQjjKLsMNGALxUl7RmCFcXKZ4zjlkdkPSIExRXRgIrVCK1WrFtBYhc8Qr1kFyr8rNnPRJaqCaBSHatZ2mkkC8uiAj0CAOYJzUHRn5NyVVWU99xMFGtSayxu7N7zfzWAfYg4Zza1lvsVQlZsmJvpmiqE7H8vhSw7tCNE6VZOHmHcm996hsouxG/Y7b3/1F8+/WkyvX1hO/2X79fTwsWkL2l3t8qp4ti15lMHAUFDdajglqVVDYUSid4HmzFNHp5VRNmYrozOmAZ29j6ROvYfKr9+94XvonTg4PaZ5iy4JYkU4vUY/bFXiYtGao/FlyCSLPGBzW5VVAhPRb7o9WlqzZ0eizkT0bM+k1+jI0qaSWdZLAQNYIW3CmJPD7OcDG6lN0xNH5t3XOWsZe0NQkCcnwK5wCkdHyron68Eqt39i23s6HkjnG4PK5sqEwmHDYVQHvpdOIxolYjcDYrCFosRa6Eq2cnaoTtYbNqnIplXg2Kx3hETyeEIJQChTawaDCR+Uc4xgEWEQFWLgIvPNeVqDo2fQcptSN/OAQ08cs42jLFlf6J5czCDOKTDdAQsZNPr46mkMCfYa5fy1dPmmQVpwxMFyUnIbCTWuWkM4MUpPUvoaKauMRiAw5Y6S1P08W7dbppMFjcGbnRlTV/2rF5ZTtWzXrMa6MnCTDqVdYECV9VJGu5ka3tS57Y2bggCUzYgRyOCgSZxnxGjZuE4ccppCguM1sm53KhQjakSoqVw4gXsUNFFkTSQJ3mynz339cqo8e3wotpP7cZC1ffTYdHrp3OIdBSu9nPW7DYy5ePC1IZkzptJvHYehoU2XPg7WofCXtoTlsF5Z2FDQJQyj04YRCAckbadxJzLc0YTGpsWGDEUc50OGDCgMGb0t73vI6wyMj0D7NzhY5mXWCM3Y2CL+zXsJVKOhnDXCZsh30VxFpo/7ZnAr4DmlrAemVzV38D3oPqHwb4tlc+KxiRK8qXSEbOBXb7agCe18VjbLZ0v+GgMeICdNqoGmaor9tqYuowZttgzmwP0KFUFscSYgAhd/E9rIDgtU3Bd9j5ddcCz2GwWa7sUusud3O9gqCazGY+/UHmW/y8MHMzG0XSFkbSVvsBUEeuHw5j8ZfTJ5MTfL3Obw6D2aGzuNLogKjjdaH4J5bunP86/fsr6riRHNU+1X4+W0utUWlEk9JVWDYdDbwP7HfZBYF31B7CXqRyqmEwcnHVIW1Kb19MLZhbS+i/Mdg/3nwo01zX8c5KnxhvrBqOSxhkna8V00UN5c3EzfurkknvzIVJfbdp4hTMZ5EDSpJ8zFdEaqFhhD8xlrgAockDFVqnM9FB2q3aBJbcp+CUqDyBLzgfXmWHg57p6MpHJAsDbiDCfSfxhSAfwv23ggnW9r/gqBjqZnesBI41Y7piTowZqtjBzfnF7jjiXaZVNkEawVDbaxsd1KY202OjM8yrT4d0ajoyaml3nlcOHcObaKTn82ezJ1OLXW5GDURbb54ljYYsx3spu/7kItvkgyg4RMLeU8NXgZDCbeF/C2vXSIR5V7BQU4J8lnAXLOZLEkYgLx/syo7gNMMlwni+zo/JgwYCaQYM8BfB/3pjerOGhw/Vzft84uqbyFw4RaHZsyRo0yIM9TWGo2YqmAGSRH5T43AAyVx0dKFihl9IWWtcPIzU5Y6Y7zozGta0PIyR3fyeDawykAZ8pz4tx1HVsN/RtjSkbpqy9fT9//gVP7qvwdgwrN61dWlEHZCdLUO3CExGojZcfhP8f9pCpDpYNgi3mwCkwhfk/1Y7uZKmWnqQx5eaTRyUiJbm/Lm8Dagk+x3qKZurfZ+m5HNEsS/LOmxdlda6nZSdAxd4BpcI6MPSqW28jTD8C4xnVKqEQvFmRXOLbgagXj2qak3CojIFJLxw9MKPAQJaQ3dCnRIJs4xHXkGGh6z4l1GE1mjGi0VnrAoSfhLMd3YZ7zqrN2GdYUXqlaQGUY8rIH1R1ccShfGuWjOd3GjAQWuibbDRZdkDTvy8FRYN3jTE6phG5MHPuNAu2ls4v3lNJz0OA5E6TmObmjMsk9x+bm9yGGikN9nGPmNLAvqjIwb6nPoA9es5fKtXdEBnu3EUmerHGbddZArdosTVRWqkWrOtv+TG+F9XCE3Yi5QwBp+7E1PnJfLhTW5BxzwRbcQrlq3gC2nbk7jAZI9FNAsyk4axAiqKJV72p2pPoLhBI7QQWr1TbtC/Vs5BqyoVhuti2pRHWXr8fP4Ng07PJ2qbv6sxIMrGWOe29wEw74assokUXd6xj/4N9n7SnDLv0PeP9hYRlNh2aN4WS/rbF7NR5I55uHjWHFOYR2TwYdxgzPLdmicslbL30G/7cJTpSzVRHYQpWPwWc5fEMMBsJXO/WVG39znhXvC5/4MJzCor6z7n4gB/X6RlpZpwmrmOpsUZ4ZHbTpW0nLMajK5FrzVyw2jmuAExt5doA7tdM4IY2GNaUpo+1qjSzoMvc2pfThtx9LX3/9VhqpbqhhjSw1m1t+iBJryOwSGbMt1etbokriO4IPuFAwXOp2bdubwJyCyS8S4wotWF6oJPhdTczDsuAh1EImDkeEY9OYi8PDmJ4cMc7lu2SzyQyulxZxGNSYUrJG0FOHpxWwTBYKwh7ut/J3jDcuLqtUinNDE9WwI5y1YYOyGFEOLlVsTgpu0DNiw8joOAXlSgoO2DDYwKxvgxKtwU2sLaFzLvfKv+li6QBDOlIWPOv6omEww7EJAQ1sgnDlvQ2nfQ/O2rAmxYDiyFYEN70H8pGxotmKYA8HdbtmMIIQAtr9QvpTPYZzkQ8UAlrQDnYoS3nc9ll7r2/+qozZugMGFkEUJe6MZSovhpVjWBI8AvukPhxj3Yk7ZjbZkilRqTNtgGo6fazD974fBs8XKOW3a7DXkfhRU3CuO3LQ3tIaMFF5frJ1Y9X02qUlZUbzDl6+Sb133Mk6jMbn7ADyuHMV4CBT8KZtg39QPbMkXDig5gjfXvWpqhesqN4J5iTB9Llra4JpSo11YUNOvaA5xWIX732/61OW3Zm2gGQp2SXdBBPaEUSyVFB/RGTbo9/EBPKsGRZHnMc0Vq3ooKx9oz/srBtr2DZ+fc4b34dGbVW/1Mdifoz1SIRyrpXlOI+ltXUdi+snsdXa8gZT5wznNgGZOXl4Qvcgr6nwoI0H0vnmYcOfeenmmvPGYvwjRx2KbcZhy+w3AQzwt9sZrpiJy+JTp7fYCmjmASNVTKvCNtmiFc4bMRqf7DjZ0RTFImFzJ9MZZSGwpSxIMsdssmTx8htKP2NDabXolGVx/MwAuqOhDuUdMmV3MsKY0kTHhsbiwpCcPjCu83iR0tpmTbyfUCRhjPhiRcF34LxSyjNuY3OW4Bjl3uO0EkxR3mPzERNJn9pjHqPL4BiRgTZu1Z73R4muWkqf+cpFCROYpK5BAu52MONC1jvkrcfc2bcmJgsUJYyyz8rfMXDmMPxsAMPOuci4BF5wryP2U2VhBnQ85xlIcCBw5ASF2Ap5aKTYS6kEVtEzOdp/hlSr3WuQoUA/VPDqhpeWsFc451IKtArRbhCYbKjsb7R7OEfaBMvmFCgjJnXalNmmQ3Nj6bGTM2IDqtXZuM1RH2ZE5jr/c/4fwQBlTacdBpJ+NGtdAbLPBc4buBBVoi5fJe6dqgIkRiyjLZy56zLYfS6kNk5io5H1yGSZPb9IsnLiLG8naUAMoyp7Pw0C9KZgkfcuONxtWA+/Z7jdKet99rsN5jvCNnBns3+yL9pzJWGyu6LsnVzrbcwoueCxlTuvESWuPIGT4zYN+9JvaN0CUxFsYzuror9wdlGN1uyV1l9hSbFS0xuE+4wgTAinV9VR/JNC0nrFVwgBnLaSBvYMCCLtc+bXRBKuWWipuiD1Wa8UdvkXXu3n/IGirGySFAKSawk+Be9iTgsYbFs8/tiZoGsOIgrey/4V3PpNJ0vADiysbCn7/e7HD+2rNXYvxwPpfPOw3/vkYSlAIVBjGDVrzotFIFq5sYrgFMViSZhIMkJkXYxTuhMRYyus9MnGEDhiM/5kWwJPzsowLtMORIQuav6mEVFsJMJfGYUQsIONNxYE09htaFPrMQYcl/I1pXR4y+/V6GfwKEu1ahZQHJoblwolQhvCh5PNE6+2KToyuAcY1tYeDGr4UdwfsHiS1uZew4W+VlcUPzkKk0E4Hv0FG27/LjNAve+xUpndQ5yhL79yXQqY0DPl+d7vdODc6Ha4E8Ccwcmg/Mr1MXC61dC6T0tzBBHBez/s3QKHzLMmc21MNc07CtTW5djZ+jRHrPP7fOILB52sUfQT4Jgq6+wsQxJccnx2UGeS2Yns7V5H3oGPQDQcTKuQAUszyXhteGzUKE2Kxx+HeTiMJE2XhqekacquKcrdZMJHK2XZBmBX52+sie8eZcYQweLnUcExyP7v/n0DoQB+vyLQDLsZQxUnp3Fl5P0QEGI8vzECe+BZwRAR99IhBMaXbt+DHYbPnOsC5sZz4t8E6MWCw9LUEGgTQ8qi3nPBM5gaKafvfPb4vqMZxFbgegua9xbCaKNPKOoH0dvUBTHpE6QaF37/4JWmwpX1G7Lp0HXiKDJnw6EbdB73YlfrTcrEEHRGiTk/Z6qjOLA7YOrDrrDfMZeopHEdONw8FzLKR+Yq6c2rK5a0k/hXIbXpx+pzDgHZYH81bHbZ/IEgWCBAcXsXFSDizRp7rV9UcOyPwsbmPwOtY12EKfH2taxHBkgnyTTZXzVf2vdFNp09CVG8chZMm8NPwzoBhiohbXP8CQCscRsSuZYC6KPzE9IG2W9r7F6OB9L5ZvDQf+CDp9OtlZeV6WJCIPPK5B0fqaSpMcNn06R06ogpQU6OV9IKmCo/BhPOYCjWnBSKi7zG5Iusjt4b4TMfLpqcNJmW4EDlHODlHHUuTzYD2Fby5by9DjJebK5545VnLrnT0fvZgE0oECm106UbMLDQ/Q0kxc6BCkNkvQTI0SJ2ftWQ494BChNZKgyVfs5UL5GMh0uWErQJ5wQ2LWjg+hnWzPnCcLT6iW3g8NqGD/4bKfrPfu1S2sSI+rHvNgsaTUnWdGeGE9gBGw7ZfJynm8vb6cTBiX1bmoPthDKjUVYNNzDW0D4SWFEVoqRqGZX+fL39huZUPgvXM257XVCzQtrYNpy0FOM866Xycu5BW8bWmjXvpOE2HPheqjyevTUngXk1/GkouWIrBKeBFWl793sgZdqsN8Q20W0/WR1POOuCRH3g+KdnBcGxQsxLz4ZveX/GXkfAaBS80OQ6ag3Y2FacRJTtQisho2wcBC3gOaqxHaieOerxGWGMozkzWWM6UBTuF9k9kicMa3bns5ZFxGaTLcTWIqqiZjn6eFxE69Thjvrmfhmii3wrOQZ98A0EZ71Z091gIoNscecz7dSqt2X/cFJJfuFUYgP6fmbI5sq7GexPmVK025Sd1j37E/8xny7fWMu4xHFIyVqzT5lQVCVtbhvkg0QfGeGtekNQt/xeZAw9ZgNGUWzWPTeYJAmDTL5djrHZR9a8C3dmCahQmXzkxIxw3YHxjvvIYM+T74L2gPjJLfvdahkFs66laH4O+66gJNWyO/cG5T0yP5Feu7gkalZjY7HnGrBYnPPjhyZvo0h9EMcD63wzYMv40NuPitcXHDcqdjYpjY+WSUzGiagVQ/497zmZvnV2UVGrIvNt4+pVU5Tju1lEwATADOdLseF7R6ZVTrEy3bZ5WPOhybjSrU50ScdyqFPeyTCxHS9t+2ssNBZ7HdaPXEIxnIEsRrjDcj/ne/XmhjDSgusUi2lpfVtNjqw3jFm+Fh3lX+FSXbEssqSxgYvDlXNutHRcyuY4BrxO5SKafmIzCCMvWEc07PXATdR05awQXZeaddXDA24sEXCsogoWBpfP8/zB7EMXd6f2P7Ly0eBjip0YKmseZQ4enBtP73lyf5W/84PzPjg9Kgac3UaHwaAl+AP3GOpFGmWpkrDWVMXpk3H2xv0MwtAJrjqvDRo8T5y6w3Nj6dJNEdrqA4KbOLazC67Ed6nqgkPHHLq9JTTvGHTZgKyUbF8TghtRdWNeW6bWP6tsm/Fe4zx7i0lX9rHvNXnAwvqntTF/j0MNk+89fXRSQjf0FfCMJkZNoEpNnmDmgWl4Zn7YEecm1hKy6JWSGtFQ6+W7xaDAJu/PMWA0fftZ1HfjzdNulMI2EZRRcYwGPcG3aJwXPSj4WLMnIRYkdVIUEcl0i2nKMLdc79QYjeLFdHl5UxXH/Rjscs7Alt5qv8ZsViGNjZcVnAVrDyJswca119HyBkcJwHgDv6oT3qOg9/Qc904TH8I1U5l2dckdj+PfzXxl4Giy2qP6RPuXhOxyTnLQ8kU1kx0Cx9QaUG1hT44Z85Z6TxotNSum9ZTWWzSL216M70GVlVnNcz0yN5rOXV3rKFYD3RZDjEFgoxkzE/3y88fxpiG5QPWsYAqxtv4MohRBsHwZbyiNTDjXwT4LgzH+UNgPqX9LDK6qcyBYJdtPthxxwjevrIofPZpBWXNUFqHrPXVsOr1+YSl97dUbgqTu173tbscD7XwLfvLEYeGuabZ6+sx8Wl7dllAEU4bMF4sH1cdLN9ZFw/PM6XnJ0Xew26bUhIE3xSfwV7YZWxmow6jA4HhgpIInNUrbjODyVmdxw5yQu8msWgM2WaNuPGZePdKwYLbtsfkIusL7vQy81+83tpCmMF1gsNncX77QElyjN2lZ7MoEGt0UC5n7KPU6Nwo8J6oCNJyouRIssav/YQT5fZ7uKsvuc9xSSqNFp4j0Rc4xCAyobrx+ebXLsQhHzQSB/PxyQYoFC5Zh4HByxHPKZfr+HtaHQcORSJkiH98NtMkgDc306MmZ9F3vP50mqxjY/ZkpAIcq2qrxyq6qe1lzHgwpl5b1GhsKnPczEyNaf6Fu2Pu5+KywlKISJENsPGQ7QY7I4JG12aohEmK8uax7NjhtNO54d1U5HPfIfGQuSDK95/nEnGLDeebhOdFrSimvSXXNNkxYIZKvvwMzxpdPlSXK+HEcHEVeUXMbjYWe+eUEKQT1mxrKWgnqEZzm1nSsZixxYRv/Nc1fQN9WxbNtQIJgrBB3b6mcVpomarMbfIB7ktmyzq3SM+Q8sSg4xSbnTVO2UUDm1204WjgrZKupNnKtN5eNhUEc4I6DjX4Wy9YZsxHXzfPnGriutphbzNmWI+ES5vBhSxmxRsZ/UedI4ItDDi89Iib7rSTOc3342Ez60rduvOWYbwIinhFrJWAjavanZ8rtJfS2VjUa7ph5hhMljIAq5Poiwpm8m2w3c48KkwJLGIaKFvAOOmTMOa6VBlw0P9jrv/zSdTEIVXM9FMrce0AdzcJh161/whqNG8VWqraLwrjTd0aFGI0JGhTp9YKnm7mL/RIMaqKajs2PSyAOSGJUexS0kkUfLaeRcjFdWdjsCvB7m1+bbWNiod+NfWZFts4YnASZ9WsI5jSjPS2l2bnxdHgO7YN1JQRPH56U7oURQTQUuH74HceE2ydJReP2o8enTeXUYV1cN9cGTp3zn5se2ddEAvdiPNDONwMD+8kPnEovnltUNAbFHxhtIjsEGigVWeanIRzUc/Ub2ihx3IhCKa9gNCJjFU5gOLWmemUKWgwyLy1/jxZIUP55pimYNyg992saHDT6s6AYLWLwBJsja46usluumBcqf3I61JjlHNl3XNfD6EKqb9RthQHHyuAhwckrDLXRPgaVI29Q1sArAqhUBkaf+8T95WMqD3qWPLIZkU1uFizQYbMXXrdsTvPFmxsZVCg/dgs47D5ag6bOGCxqQATkIFmdkmzfbs+I74LBgmcP7h+mBZq9fuS7HlE1hmtk3mGQ92OGgPXAczl+YDxdLWzsCD8JZUjuCVWHeA6ord2sbukeBfa9l1tYkJQcBp+skXX3ByTBRkf0xTKixn1NE61lT22DtM2YOajzj4xxFj2ijOnO/g4gLsvMFqWoeWB6JG1t19PiajNVS+00NVmVSAwOvxy/Gjjkipx1AnJw7tkGmgvocG40Z9057uoU6xnK7jqjArRnbOisc+yXpOCXtyWBnbGPuCw558ycJGCNOZ0PJqNS0zu6Nn4cbM+wqdHcFYJhRMCpoDI4Ui6nQjI6Ml2bN3ThxEG7yrrHQQoFwVLJKozWo+E0lAp6jRqxkOwZMk84G66R51TPZfOAlpD1lFDYdl02hbnGuR49OJ4Oz47JxvzBly+owXq/OeCwZwWN7V5Hb4Vm0OD3wCd4rswVoEs8rxMHx9P1xS3h7KVjoJTq8A2gWbXTWUZUKe6BDuYIh/Y8CKxwnrEVJHpwQKX62id4zA/m1tOn59LRQ5Pp8vW1NFZtC4Z4c3kzjVZGZENU0W0ZLMqZbBUUQtRgFRsrzbEexAFeaqW5qREpVOM0v/eJg0pWAdNjfVNh/5PnLmn+w5ICvGNxZUuOOraEgV+Bw856u4lIYE+lLbjrbY8zSXlloEdK+tyyiHGoKhfTpqAprc4+GZXkSjsdmhsVnGSkamw0JMii6n/m6LSaJlknfA9Jt1C6ZiixIeRAOR07MJGd20illBb2MZHAvRgPvPPNAFP7zKOH0p8/fyn9zucso8rGI2WrxU2nJTNjEDRXjeZIRkHI/7T59+BCVe4hDdCTWe3XYR0bLZuMmqLIqBXY5IebnP2abIIeMV92D6ykaI4KRQUCgovI6bcGjNjsSzSbuDM7qFGm3+BeBSYQ2AAbJiwEMLIUEwqf9p1hVMlUGd0byn6WeZPc+2hJlF+8h+dAJ3+nUc2uJRxcE8XBYcdwG1xgED8szxMlMmUodmnI7B3ReNOPVk33utmhOIvf9dIb5r+r7QYKLBzzBZwjRu2zz10R9EQ0KO1WOgL85AkzcvtphOM0Xy7qGe52r2MOk20KrHfQyklG2pt38vdftHnqJbCGO+43GyvzCNpGsPs3YSXyBG4EW5Ied+ousI04mjinIc/NxmCqsN3n3K+qEbCX/O94nmyWZMaQSI9uwRpZpo2GO8IjohEDv7m6sClYVaFQlnMYrAnRZBiOSCjs0cy925rEASoUbdMl46egpdXSeakPw1N7eeEM+l9aFcvaS1jDy80xjyMG6e15yOAwYcy84fsWFTyH10hZ1hMCzHuqfCMSOcKRs8AKxyDkqmubBjGzdVHKMNxiJwJulkxVk82e6gjZNTk3LWhkjYZQZ+OUksqmKiFnKpcE7zhBcZ3MVxROcSD2Y1kc541MYoil7GXw/IYROov32hoh4NlWNQH58qjsFNhbmiZq5aiMoW2slFnZi+KLer73Th1vek+Ym8yzo/PjmjcEcNL5cHYlwVwIzpTcMXuCo4gSMjAL+LqpglORoUoFuxbnG/oaUob0rHe5VNL7yADj+FYK9j71b3j1Bmghjv3H330ySwSRDSbZ8vFnj4u0gCoM1XnOlzXz2IlZnaupw24LxpVn32KdeQLbWX8sI89avXQdNjDrkbIEGU60XTPV9uz+KltvP5+9sqp1RvUSeMknnj2he6G1gjq3rw/2JgLWr75yQ+iBgMewvmiwDAYvxnZ9fxMJ3IvxV863O01kFwNLDBaLyXtjhRJwJ7MmaEErpRs0LDh9GpgnSkZkkPqNvBMYm1VkoPMl8Yxj1EvtZBIeOjwpuj6Ov9sYWDbrY0iDpxNnlWtQM4Z/f/CVYxiAelDyZ/FJiGYPzW5yPgu2uEMwpOIZOO6hWCXcYEyMGYc2BgfcLQuTklSoYtGZbRyrVh2QihjlO5dfIbuPmh/ftVNDXvgEcb13Ovp18QsO4KweBE8GHcnBXwaU6qmgkKVlcG/IIp27uqr5xvOfmR5LyyubKueRVdhv2TiMMxmPVy8uGTNNT5A6EA4iiXDuaYdVRlNggGcQVRQcaj7HHGJ+Bz/7aLmc1vC6cmsFh551TFaJZ6AmSy8j59mD2kNDvPqcl/9Ps7eNumNBSrA2V+BJLorrdnaqKrl3SraUlsm6M+83PZvGZ1VpETVep6ltmIBYfSzNtprYtuuWPQPaFRCzjHM7l0ive9Yc7uWgNsORYA6SD4iGZmULexxw0a46xhXnYAKKwEYhPXJsRuuX15DdVl+NP0/+z7Og0kggKm5vZ3CAjebg7Hg6emAiNc8vGWWp+lkM5x3PjesDd0qAgTNCc3RwmFtSwaApca0M5OQp5zOAxGB3HjsxI4dhP5bFmU/f/Z7j6T9/+pU7aga+08+Qad+qAYmI6qonI7yqG4H0bsePamU+sKPAczeoO9H9UjkRzV0xHTs4Yc2phaRmTvaTYCeTI43+hwI6o5klsOjwYJvk+ptX17WvrRctIReCQgHXYETzNtVYboIqa8kTS1X4/LfT5GhF2ePLN9a1Ht64vCwoWMCpCBI+9LajOg6EAji2OMs4vwQT+Ae2Psvp+tJ2ts+IGYmgVyQIxvXPQajUc834F4dnR5QxNyfZbAE2OqryfCdNk9gKKrKw0Dz7+KH02EOzAwNS9iYCVhqqf//LFwXZPXNsquv9+B6LK9vp1JHJfdlbca/GA+98Y2Cfe+1murW6nW4tbSqaNTovM9iRCSBLEpkdRYwbNXXtMjmRrVZGeZeNOuAotkgNV4lx0kYgHLEpMGIowGWxuFh8OF4h7TpoGAay40Tn3xqdxoyAefAdUodT0xEObi2NjFAGhoEF4Q3D6dJ8xGbGIqLredjsN/doRewjRtcXjYTADtSsVimkqYkRlZ9xzoyP1xx+DAfXfuHamjZTZYB9U6dsSOkax51zXt+qaQOG2zsEMwadI9mIyABk92ZAM89uowtFoyqBZTQEQ1H00Y1NzpdOGTxzNv6nT83JyHK/yfhRbpTgyfy4nMegicIp24/ZOM6TjD1zOJRid9tMzTGy+WxQpCG/q2iBVTQLsTkyaMoV/rBn6FnxflexVV9BzTbMgI31qvTd7WD+ERiEAiwiX1cXN9LRuXE5TjjETB+ELdrt0VRvbMqJicQWzjvvY14A6Rrm5HgLlYAD06Na8xn7gf8ya/rNSdin4El3YZFqxT4HWwmBilSCGwY9iBGfDSiI2bhCOnZwUvLYYfdY0zg0zA0CZmF9HQ5nIkCW6GDdiyt4pJzmpsZUBXvy1Fy6fHNNjor1xFhW/vDsuHC1QN2wDzeWzCa3C0b9GqJj+XMN8aGU41hH+ANnioCs7tLp+2187F0n0h9+5WK6eGP3Jud7xRxS6HXGHdtvgm/OD60s+O2VpN6hhr7cAQPjfKenB9TjbWfm04ffeSx9/bVbohhmnlhfkR2XSov6KzSvrYEfB5f1YrA0OyH2tFcvLYv1jGQR84R1QmWX6hmOKtWmYPWqNRri8Y5odatWl72fnRoRzzXj89+8ouz1zSX6Ywrp9JEp7fusPc4VLDVJBCoKVH4IzsXGAzvTFphrg2iWCtvZPpNV5X09dv5tpUICYBQmUZ1mHwVuxj2P3pxgl1LwSi9FvZWWqeDd2ti1H4L1S9/Ed737hOBbvJ9gloAcSO/15W19z4PM8Z0edOcbx5vJwQZw/PCkNrzlte108ea6JhxOQrPVcWqj9MvmCI5paXXL4SVm1fPGYVCmE6cT0Z0Q5gnjPj5WTjPjqEo1pXhJ5vTFs4syXmRD2WxSH7YEczidQL9lQiHTY5W0sGrv5+dQ6up8vqBFUFvaUkMF0f3M1Eh69Ni03nfu2mrWRIYjTmSOUdnrRoS/g9Ekwo8mKY4rmAuMDg0yAGQVWunEoUkJDKkJptnWgsVhEsRAzAzWtCI8J01TNIJMUtJDjCTfHNnfRFsm5nYxg2jC3ImWrt/Ib1TiREa6GzGCoHbawWkMc8O9txJ7Ra9xjzGKZCWs7N59nvs1G4eh/vizJ9K5ayvGILPL+20DMQdumGeiJjzU10pFZVnJzAYDDhkWbbQDnH2Ov+1QjANTVVHahRiMju0O+J2Mfhha7Aob5vSEZbZ4/jh89ammqCVZl9FsZlzUhVR3aJWcFpICUOpV2cgGi3P0DpwhmuKoKPSuYwv+M5KX7Jz5Q3IBuAffMybqEkrw1TQ9kZSZ51jZ/Rdji90z/o1zwunhPGPD1rZqxi8Mu8OU4VbHNuvCCAfkh2tGmAs4A07T06dmXCfAhLPYtJ84NScqTrLbOCPgWckkToYug+NVdf/9guhnoYoSQkmW/e526WRDNe/aqbCPy+KqGu51yt6DCDOoH7HVJFuUBHLMCTS+GeQyy4wPOBXsZ+53d1OpFLsX85d8iFSOCbKrgpoSRK5v17XP4nDiaFPdkdLpdkM/b9fbaWbKAk58g5fPL5uj6s3A7FnYKTVwUnHxRWTMoO3UaqTURC076Esr5pgenx9Pa9sNzWMccVP1tGQczy/mXbBe4VyfOjKlc6ISHf0brAESaZwPwaPIFIKK0x9rNGezzgPaQoJxcYUAoqLjAL8C/knSS/bBr0MJQwkOmv4CCIHPfO1i+uT7H1Jv0k7Ocx6GAvMJwSz36bGH5tLTp2bTkX20h70V44F1vpmATAom94lDE3KANjZrKklR9mGTtOxct/RxXrRF2WLxYN5uu3oznQw+N84mMV5VBG1ZJWvQA3/NghdzRrudvvH6gjaHx0/OKDvzrXMLyhgFnzgbA3k9voLfk8HOMvNeho3mjrwohzKpVYyKObZrzXZa3TLhmFurW8q4kgHkuxiRwTIc396NdGBUaRIxsQHDdrLJKjsCJmyyKil6IvyXzi8Kq4nBlciKN4FJiU9iGiJK13EohQ1rmM0I3e5gG8b8zvceDBb3FFo6xjC3KOYGTscLby6oXE5W0tRNCzJaZN/ErQqFpU8k0art02wcmRvm6TD3WXZfIhHDHTscRbIzTZpU2+CKS9qghsmcRwb86pJx04ajLr5cNqwdKP12O26/19j42KitIYsAvJUW12rpqVNzmterl1b0M46CceR2nGxrIGyl7UbNBDiGwOhaVrstx95oBrvFapR47oHBMcQkVCykg+A6PQvGWuS8lHXbBtNrFGI0VOJgcRjEe8Bj83s5OJv19NSpWVWnXr2xLAcCxwQoGQG2NWYazpa5zfEIPsl0mwaAQbqu5DJo/EwgpwbOGmV0qySwfoIRJ6gYoxk78N8BaQDaI9iLv1mNm4WoBG7vS+lrnu/nnr+SVl1jYViZiLv1vQNKSTU3X2QK2FWMfNVLCRn1XRgbzVsx6BV49omD2uf/4CsXNLeoKkfSBQcaR/d59ttCQSwd05Mj6ZXzS7LPBJDsiQxUmkOkKvohcHZDcIvfRc8D2Gy4vTN9vbgfrSRSB/4w/x49Ma39Dgcbx5c1RjUMZxX7Z3j0drq+tKk9mcA9Mtns7QbTMdEokjZjLRx26HfNb9H26PTCguV5AzQ2BHtQ2EiClgZz2AZVZtYG/RcZh75BBblngr68dCMtrWynM8emd+1DChgKCSPW9sR4JT12+kBaXt7Ytwxe92o8sM43k4EJjjHXpFrbTm9eIqqtedNVa1fDFBncYbIMGBo2IrJAOFbipq2b44cwDZuQNlOVhCxrfeTAmAwDGMi3PXxA5dZLNze0SQTGEYcSp20puIY9c2MNRbyvkCptU980fk6n0TPFeaMYdCzuMuX57WY6Mj9m0vZkl5pN0aSxYC27vrcFE4QM4DSl3gePK4veG1swXO976ogk1RnAKnivutLF1GDvU0MMmQAJLtjmyKa7l1Jpv+c0CKs7rOMt7mmYOTw7j3EdJh7A2aDyITaTxU09QwItHEcaeqIZrlotydBThuT+78dsHJmc/+Mzr6Vri8OXwfeSuVNWyXHIgrVA5cf8z6fPdhna6JCVz4m3WPY93dXIB2MB7TA2l3oaBz5FQFpryUmgOsColC+lL7xwRU45tgh2ns1ad+BorD2Wcpb8c+47+vEhk/nF1j10eCJduLaeioWa+Mnz1x/nl/zY0fSIE/quxw7KYfgyG+9aLcPQToxasgCO/g0qXZFVRuBLeFqjT+PagK4BP2HOU2I3rKwHWbkbxXp/5PBUOnFgXM4Na53nAS4eu0QAyjogKOCavvnmgnC4ZClF+Yq4Ry7QDhxx4NTZ8wla6KnA3sM4w5rCIcE+4+Rgc/djWVz72s31LAN7t0Jgexma2749RMN9Fjh69rVXyjx46AOicrfrjUGjILzUhSINzaMK4gjAzl5ZSQ8fm7bMtVg/DFJCoy7c1BdvrKsPZLu+qQoL588aYE4x75Sd9sCVfX9jG5VI68kIhi2u2zQ/TNq9kDGIdAaOLYkoHOsX3lyUABXHYz0QTDIXWWPi9ndxOmwR6zVgVmJJC6fenzPHY94SiN5cpjfDBOGwLST8cPAFawXO2GhlkBqCEZjbgL+pBwxsetMgYyEwZHTFpsDLvSMAHtSHFE2jONvRlBmVWhKCQX36oI8H1vm2phyTHGYxnr22mjbdCGPQV4docmQMa9iMsQGlxw6FWqVaFASFRY7zzcQ8NDeh7JsCgO2W2EIeOT6tRUW5FYojSj/8fB7e43pT0ftsaUSfI2gIXtQ639XIN4qUhIEU/Z9neDgVOEL5mxI4jgAZKvCyRP0seDZNSRd7ND2sLWcDFwbXeVKF4RUNodXgwMthtL7w4jVtssB+MHqhoLVVN+OtjvGtphrNKNNhlEwNrINl+3ZtMq61kBlEQRbysCQwjllgM3gYDjKlR45Na87BdlGtkpVoafMn+KiMmrHDMceRwTA/dXpuX2XjuDf/15+dVcPlvdhYB43IsHGPGGS9BYUYsilRmTtfD51cujviwf1+p+eVG2zUwfqxvLolZwQ8/1//8JlsA3vXo/Pp66/dSK02c50sVfcxjI7NqlF5zDUjz56Uv26+Dwo97IxhaG8f+fcryKMvZNwc3i9963p675OH0vd/YDR97RUccBq1GqlSNZw0OFkcbWP66dCVMr+/zzdnbBpYVZwAEgxyznJVpyhSkCmHe/uWC95EvwO24Xvfe1JMHs+/cUtBHawKBHU4ThyfYyoYbg+uRAo9U0aRr5Dmj0yJsYJGNBwKHBUyekGftt+GsPh1azj9djndMfINkran0MNjbFULQDRdRZaqCBAQq7p0TtJm5d2fNI39ZJHJLLPH49RSVcY5PX9tzSrN9BWN0kswovfx5/DsqCTP56ZGZZPJDFONJUmHj0Ame2SklFa2GhmFrvDVedijGFKQeDdqv34VcXolsvfLqbZNenXDaC85r4CGSs5dugOGI5fIjyrAdgBVvqStQUUL5hL8Fxr3TRyQBA+Ob+gexPpnr2dfZX8PYR1OLq9VwQskCHG8qyWDhGHDBbkZqyi739uHxJrMYCbeNEpP135k6nqrxwPrfLO4mBhMcCaM6KzEytFON5b7M5fc7TAFKaMwYjRrrVSrBae2sR/Q8GkZcgOVqAS1sKHJbtRpIzKwZL3h/4QWi8VASQyn9sB02bJDzVZa8jJzluEudLJMbFRSvyLiBrdZhKu8rHOEq5UsLA7BreUtHdvoFlumCjZswOHULuBMgVVgdIjo1eNEVpGGqUJB0AsaS3gP4jmwDVQ8gxUbJlE2QQEbizhse7IJ/RhIek/z3ph2a8Rh3hg/ccdYmWNVyozpTkObjujXinqm3PeXLyxpEyDwUUlQfLSGySf7h3EjA7mfsnHXlzbSC3TkOwXXbvefamevs7nbCO5ulWw3a5of2jT2eK5GGQa9Z1tVlhD2oEqhatJdTh6xCMBqM2G0ktMTIwqm/9qHTmeVH2zR//z6FX0fARh9JdE8lX2905qFAutuIxgoyA6z2YZjLEXbPsGJ6BcJmktFZdGoCp5dWpWji80pCWvaTmtIZTt0LCSmmccM/sZm/fDHHhbGlUHQSAXnBTUVA2nBRhRSsdTZ9BlyLmpNbew4PU88NCsniT4QgoAvvHhVDFDK/DtrTbPZkNOD7cTR6FIY9YbowN1aT0Yzfevckpw0nAIaOd/99JE0P2FJh/20xvIjAvk7YS25V4P7zBok4cKw5saOCFm/KVu4ByxU2bEK5nxjD2D2YR4RoCkTLAafsmz0pRsbCuToR+B1CVAVC+kkzYw+mBtkca8vb6ZPf/liOntpOdMIMIx2NxGCaHbBjFOV7Tkv680qpO1a/gNmZ2AWavmU49xMnKctddgQHxJUxiFkMaSqKZVNOw8gLMjWI3xDRR2Hm8oquHIy/Qoa2imNVaw3hmMBr2Efw4HG3iytdRouS4KDmS0VNaMYy0aELxdkNNeHRIBPDx3+B68HT38+Q37q6NQ9ecZ/GcYD63wHBRpO3+rGdkZ3V6cc5Owa92qYqpptRjhR+ZHfJMSbCo94y8rNOF1s/DSNLUxt65xDOITjsJFpQW1ZVB8ZtYCiiLKNaNUbMEKVMURqQqGL78Twkf2hRMcmymbEiiPaD0EbDPow9jHwlZnUu/5NcxRluhyWtwGUpZCOTBqdGQYL2MvL55d0biE4ZNATo7AQNXfuHAY5dL2vhYQ9jr+kqu/AzluWzpwMw7/aPaZULZYVGazhjqVKrFghDC4kBp3NhoQWeKZkDti0rHzcVoldJUnf0PbLeO3CsuYXGxtiRLsNY/vZOwY0KpmrYB/uMMhibbHmGmInsKMEZMEqRIZbUFNTDp6Bk8rGbjSAhTRaLqRVYGD5TLI3hPLS0rpV2AhwP/rO41lGKPpQCK6BNLFxMt+YW+yYdY/p8vYiKPN6neg8r3wIbTE5x0dogG51nVOos+bvGc4AGUCqXtgWrs8yZ4bTZhMmSDQGFNYq5XeyXOPKgJMZZ6ONKk2UolnHJDoIckJzQI5Dz+NmffGZyIJzr3CUyETCdITdarft3CUb38LR4I8lTjJ8d9EYHLA7UgoFQ19IWk/iZcaxaaf00XcdS+944khaXFzf11jU1e26EiZ/kSOgfARFm9sbGR58kF2+Vxl6Z/TTqiVgFOWo4B0mpoSiKXsKc4HgjSow84d5Lfs9Uk5feum65n2sSZxbMscH58fS7/7ZOUEd6dvie0wPoIeFTGQMRj3YS7oQqqz5EdAREmjBEhR9Zezbm+1Ob0jQanZpTAh5xlqwfoXg9D5+yNiTXr20ogZmbBYJO/i2+VZsncGrKup5QwiMREAdeuM3F5Toiur4ZtMZiSrFNDte6RLLiT6kjVojfeO1W3K8sQGBqWcvw9ZFhvzkkU5g86CPB9b5zlOgrW0109iozWgaCu7WGPTS1wWJPdmAXqcvMtEyUJ5tA3oAtCQcZSbya5eW0+zypja44wcmxBoQmQXKuGZsQiSjIVwj4iKU8mADiAJYV3Oo0z8RXY+NWikuGmAo67JY2GyJloMwf5hhnd6dgUFBxSua3/IOMxsn5080jfEB/waV0uqGcYJzjcJ9rmyZYh9OXHAD9zji+RHZLu4DyTgML4EIWWuCjKILdEiFbciBkx0PTKVLx8DjjOu4XtYflFHsvUcYaOTtoV8E+87AkaEcODk+q42jRKc+QQoVCYf/7KfBphdzeJhh2bFueNNOGXPDPltjsZqCemjP9lLtYK60yOb2NEvHP4FJPXRkIt1c2lbgpWcvNUFrSiZgfPzktLJOX3nlurLMxmRH5ceyRWx6cOsS5H702WOiGOztQyEDhUMAYxFZtKiuoKqal4s2OsT4vWXr8783OXoLDHiL+OcDN+XNm2BSQ7QK/K0xG0D1WdU54Hgb9ao3abrCJj9v1yyLyH1nkwU7/caVVRcdK2pj/r0vnFdWH7w418baVhOpq/0KFtQaUBnSRVL9q6fnX78pTBe2TJh+0SDeDi/pfWbRgBmONw3ynD8VJtYclTgw0p997nJ6+pFDaT8P7uv/+Sev3xNnNoRi9lqFyn/esrRxbvZ3L81ovH4v/G8pvjojEBVj9lxYPEJ3AbpMkjusS+aCKaC201bboJokOl46t6Q9529/z+Ndojc0PFoDNorKrrTqF9fV16GCsr0S+0C8x5zk7iuNz1q1xrjt1Wjv+xLsXfAbRZAdr+u7cr0pIg4QUb8xm9E3BARlrMprFe2ZOMFPnZ7VehBd4IFy+s5nj4m96L997qyum3VMfxk8/ARx1ntk18UezVoOuCrnzr0VgmCr0dVDN4ipi2MemP8rB1zzNT3AwyjQjmthEeltbDbSJsoodzlMYaqN2qyGqad1OGn7wSEYeT9QmSp3LsW9XWukCzfqaaxSFPaSaD5o+WjEDIl40Rf6cUTX5c6009lmpT8MiSAwLp8LGwULn0YNMqw484J4iMd8OMq3GPlMR5TsgwKw1wWTHG/dHHwWvzJZnhGmfEr0DkaQc2XgjBiPKfdyMLQAY8t7paQlvJo5A/pduZjmp8ZkbKFfE8Xker0bf9jD/sB9hJWFAfUiBodn8K1ziwoOynWylWVhHYPVZRhRIgIlAi2eN9dvggzOjDNaTmM4QZs1ZQD3Y7MlinDKeg+ZTczDK2Kt9LuL3Cbw9XLyoONz9UoGMKdWBIt7xBrlufjzg9cIfN68vCZKwJCMDgEgskbApcgu0XsxWqVhq9MbYJLMlm1iji+tbaVPffpVZZGefexgevrMXNaHQnUDuMflW+uqGIV6nu5P7nysga0jHNM7gmdbWTNXcCQb2XW/47olJmZ0fxxTFTGc7mjULlnTtjiNnYWIOc66osRP4Ek2ETsHY9SZI9Nag7AX/dkLVwWPUzYRlb2baxkVIMEBzkUvTCIaQEW1iHCVKAKDctFK4rdlHXP3JgvuCejpq/Gm02gA5DrWNrdld7hGuJbB837wmaP7lgINufML16UZftdD6659l0w/fZ7NPUpy9x08d9amGHla7VTx+VNJJUEamY+3lrcFzYhKT5yP+gXaVIW2VH1656MH5TAGfpljIhyjKpTzgQtWqeSVZYjZb3lJeHdPXwtP7Z4qOPDQgui9H6Y825nP4WxbZYBMtTnovdfLEEuPe/phJ7ge7oVBI1OWWLwEzGasogbT6GvgusSCUm9mVVxoDclgs++cu7am6jrNpheur+qccdKBoLGHsh/yueih6zf2M1PXWzUeaOeb8fSZ+fTkqVvpa6/cVJQ8UqmmWyu1uzIUpvBo/w5qKxa+mqMGOAP5MjFDUAunYGLt4BxynFotpd/7wrn06IlZNbGQFWLRqsGCcm6xZ3Gz2J1iSMIc3oyEbaB8S8aW8jE5cuMTNccTB5KsHpsrzad7weNxrRItaFl5i0xBDDGCKIJ3OV+Ha4haz6nGQiiHe7HdoOnM7qGp1Zkal0X7AxylAtzoZQkrAL8BA4fxVYW53RaVJMYKY0EGUufhCmxdjl/u4FJmbLbkFM1NjwhKwTEeOjRhhqVhqqRkEa7d2jAhB7pd+2RQ8+eJ8WKjYO6BPVRHvVcBOO7oKKX99r6lPnv0oVk5mGRShhnt3iBWz/p2Oj3RaXpfwUZOZj2YSnieweqz1zFopitTRgNXzfDGrB0G2WGCqMj4sOGxUTIfJOVcb6ocy+bGmkYUg3VIJYNs0DffuJXe+egB/VEWSceH5cQCOVGK9QlK8g1S/YbWrDusyqAHlUufYWqZ7dR03m7WL3PONnYcYNYlGWeCAaMdlT1qtNLjB02qW7j+ggWnxvGNYFdDNorAFLsAm4+gPI6h34k9ySp/HeXAsE3xjIcppnDJBENR1TP4QdGSC+JEtvPBCf/CC9ekNPg3P/LwvmwOw+70E5O60/FWoG/eSiw6c7G2UsuCBRxBSAYQh1OyBlrMkVJaXvdEUI6IP6pmzLflje30u184KweTxBOVqAmvmHJ/b2tyDhE+byjlH6w32XWST64YO6jKKkrMnBBOwDb5kew1v+DaSDaMlMtGP5ix+FiCTQkzoCK+/1KlE8lCmaxzVcEDx//oO46poTgvCx8QXAJl1rDsmdOhsv4NZoeQXXD+k7Taku0i6fCRtx/X+g4Hnvt227PZx7z5b9V44J1vBmUiMjDqz8bJg6VjD8p6dozOBpHHe+HYkTXCCNRxjMni9jhkXZUoX3XFHF9tjHAwEJKoNRZFCQhlF6VfbdqwqWx3PhO4axOwKHVJQrMocQ5wginFIUBh7AMWPY+PGj6VoU1rSOeb78RpPzQ9os9Q3spnp6KMGU1ads+MNYTrlePi9w7orZpC3Nlq6pn0rx6Y0IeV/sny8UwxOGyqV25tSu0NowCeeGOb7zGBgYePT6tEx/Gsk9w2+y5nLppH4YUdq6TXLholJUYK5/34IXhjjaWB5ha7t9XUWDLWh15VzfyzDwMoYYdaI63frEtEweicEHKoKvsPRnU/Up9x7sgjG8Xc3nZeNT6S0BnwMeYSiZZeJ4FABueP509Qd6cj1jCjKwBogyOuKjNG/wDzluD47NXl9PZHDpo4joJn22y0zqAX3DQnlIqOMnPlYhpXBaWhptTg/X/x3KLmDa8z77BHBMfWu9Gd7Y0M+CCaNuwYTryqD822cN6sKbtPVJ16KAyVLQSOYY63ekgcaoUTo3PIJLktW0ivAueutecZZu49kD6axdm4gZ2QYdPxhuXmd+iWZcDdFsRr5MuHNNHWryJxec0NnhdBfshwS/zEmzVoKv2T5y5lsIP9NFo5O/WXdQR1bb8p1HvpNPiT5eV1nMVScSwT9+nNzCtDHfjsVhL8pOp2hHVw/NCEaAupkJsac6evIGgt+feBGZI5xXR4dkw9TuxrK5s10R8yf/sRA8jG5ao9VjmPfdqqtm1oOamKua5ECPsxf+XselWd5mXWYTQ+6zu8osVeSGWuV6CNeQ6chAqVqbtCGlDP9mM+P4kOCvDTbZjYSlmVmuDk66/fFFc4DjxrHpuXh57kk0fcw78aNh545xs8F/CBM8em0hsXl8Qj3YvL2m0wz8iE8d/0BJ3TyMw2tAARXxEtF+nbIXLp8dXWbHj77yMjzOJYWWcR4LTBOerNeTmsRGSMBD0Rs4CZCBxsznVr27BuqPpB1B8l6XqjJtYIwTVQ44T3c8jGGIwBWT1wrTjhrQHSxWHoWn6dVlFznJv/05ztPvcod4y4XAIENYfQHNZup02aYa6vCYYTGUSuaW3TcXP+fWPLW8KWg6EXg3iuMSgyIcqYI0a0UU8vnV9yGEtBFQNT5qRht5I+/PajmTHiXgIfWO3xDPP3UdRNBGMNMv/N7DXjlqWM1043XYr3ux89uC+zcaLS2m6kg4JRbOz987v46/2CQjY8Kaj2LCCyUFLe858LuTnL2gh4THwq73j3xsemmFhQyRk8NwxBV29tpuMHNsVew+bE5sscge2DZkHgTXDYc36sR7LhsemSGTp3ddWwzDVj9FFwisvYaIsJASpKjoHznr8/5jcOxtcIXubrH+pzC8aZe+bUKuhUSdw4iA/PjcnJEGuM1j7S69YzEXLwgnOQzS7bfeDzrB9woVwXKrmqBjgWF5uw4iI84senYjGgATeq6yHsIwXBSjlttw1mF02ag1zj3ruA8yJHwhu8mY/xJu6rHJhRC5JIZpABJFAIlpb9Mkb1LNJf2kGfo9Rrh9yeCYxx+g7MIBpXkwNONbGf+F1vEizsP2sAKCbB2kNHp7ow13pfDwsRc2tsBBq+sjLmr15c8QotvRTGkkIKWz0TDufM92EF9aZpYBhcigQPlVySbh98+kg6enAiPeeN2cBF2SdW17elJM33kKXvPkmrCmCTRnuUk8NGExwDDVuvFGWnsYNBpSjYa6MpOF+ZbH4VzYDRLCMPjvvrr91Mzz5+UPc4L4YlJc3VbSWt9mPy6K0cQ3Iz3N0AB/iLv/iL6WMf+1h69tln04//+I+nCxcuDHz/q6++mv7BP/gH6YMf/GD60Ic+lH7iJ34iXb58+S05tw3H3JL9pJzKRorTPDPRPy6JaDfgJDGVWECG5zLIhJUywY9b5olNn0WS9wcs+3s7Dnq38lw41UAqKKMpu14ky1ZWuSkf9UYWmQ3dGhYtqqbkChwDJ5GFGywROr7DZmgkM/zc7bCYQffGmsKMuxSHhLOFO9ew5wYHQaZWGDiwlzlRhsjIDTvC8KkzXIqkOWEN8Hur29pMg5MVR01iG55xZ0OmdIbhwSjOT42mp0/Ppfc/fTi967EDgpjgVI/7PcbYUUJHnRTjSOc4DaIEXNcXN5Qx+/wLV4URxMjghIUaX37wzCVhrsxBN/YQFgi+h1cJCL/j7UfTgakRw8kOERTeb2uN4PaNy8tZQ+BbMWItMtRY6OIU+Y1Rv/cG4xjxu1BUFMNGz7F7He8YWSCqKlVRUBKeDxskTYU0zbIBUbkIdiFsAE2J6v1w1ViTVMc+WJM1VJuIvxA0mqgSc69Th+ZnGq7ZYI3uzNZqHn7C3FKTdy6Q3Kq7kEnJFCsPzFgW0DKBdj58Jw41Kn+sA/5tohiWHeM4nK+CFTj762QWyzqmHIkWTZDN9OLZBW3CxjfdUkAcol7SO/DGc1e1l00wfv/uaoNYTERRaQ64iYFZj0o0fe06NwopnTo8YYJkUODl6RmzpEBbtpNKBedC4gT2h/221sZGK6lKNLWPx077y14hZAHLILGBLWew/ob9vujdMj0H9rPNbpo/pw7kT+SO1jabmvtfe/1G+uYbC8KXW7WKfcf2PYOhWjAb5xlDiaii0R6q16PR1DkTcHMtEC/ARsL1MKcJ6l+/tCxCA9YFfgABckDV+JvPs16AiIippWdEozfUp0GsQPAQvgXnBwkEZyttDn8OJOZYUzjW7KME7qITPDKlABymJP4m490rxPNX49vkfP/SL/1S+tSnPpV+5md+Jv3ar/2ajNaP/diPpRoA5p6xuLiY/v7f//tpdHQ0/af/9J/Sf/gP/yEtLCzo/dvb3TR9dzuYMJ9//op4rG8swim7LTVHg3VgkOmM73R+M+CSFSOIysrepSx+1aK4MylTPXZ8WpkxjoMRpyTNRmLYLBoaOuUm61h2R1xiNIPNQf434qptWrk7NnRrjLINpOJrjHUi8YhxJMxH/EAI7tjmDu67t6N9p03NoBJGYSjpbT93MvBcD8fCoWYRW1OkiRmwsUeTFGWtsQqbXRzLHIi7KZhyP0KwiAPh2ERGg3ORQ9vljNlD4FlinFXm39wWH+zlmxvp+sJmJj3NXzhnZA4IXvgZQ/zC2VvpCy9cTV988boczK++elP4XYyvUbJZ9pLrl9Pg1xuUU2HE8h3/QDY5X7LpOGMYNjB5waW639ZaBLdqxktvzYgMDSPmo2jUHcfJXGUz0/P3Z8DgmVBahgOXZxKwjxhZebpn8BoQEjYWsttkxmIN8qw/+MyR9IMfOJX+2necliPNxo1zrWZurVGTZDen2gLByPCawwnevyiebzZMSsLH5se0hlGje/sjB9LsJHLqHchJOK1x7VoD0B56LwEB8CPHp7Spko3nd3wna1HY2HJRDjDZLeYlzBAc/5GjfKaSYUD5BmW8oSgUs4TdC66bapOxwLSzfhHxO3cU3O3eezDC5y1IoHowqsybekWi0byAQ1lWRjoFz3CpKKfAKl22xnvnQv41a2IGPlCxEn4wYmQUb3YcAvTMscpV4fbTWpN2hbMm7Zdh9rDz8053XfYyl/DaLYca9l/9RF7RwkE8MA2Pe+fz/b7T1pMFyGqoL5fEuEXG2iBXtoa558rm5sSiOM9azSAZ0V8lql/RHNq7yAhnsE720dy5cK6R6KGqzX5CQMj+SjUmnN2zVw3iAQ/+e544KJpa5jrrBAcc+8S5M/dJBCFY1a9niO/ifQsrBgvDd5GCLYF/LmHBOUe/lVF8Wj8I9iCgXDjY6Bb8Lx97RL0T/P2D33H6rxzvvwjYCYboV3/1V9NP/uRPpk984hN67Rd+4ReULfj0pz+dfuiHfqjr/X/wB3+QNjY20r/5N/9Ghorxcz/3c/rsV7/6VWUM7sVg8kIIT4c4g0Xl2i3ZyDqO/W+VOyUjXrCoz7MxLAYWCrMUB5cNCIiDSuI57DCbM4aACT05URF+jQw0GxFOqiTnd8Ca58vlUW5f2wA/agtcWCtvaARn3qQ5yp0PZKVfhnO5ZuIWFUBofeAgw45w9FX+9cy7XYc5tAaHMad2ca0mx4GNnnK2OcKWgZ6sltKJAxPpjaurVmLPUyH2GQHbiOAl+9tpobShhxqXKdHfxgvON4RoCiqgloW3IEXlSUQqCJZwkj1Q4bwsI+3PQhLhHWct7/yoSRZGi/Vtca+WK+aI6P5AJ5VTRBv0nAn+qMZcvbUux2nBjdtO435ca1BQ4ZwNIzx0pyOgTdBw42hG5pshiEUlmDqszBsVJ9YLzwLIUV4tdbcRDck1WAI8O90QP3kxLW/UpOiJwxoZroNzY6qI3Vza0CbKZ/L4Js5LxxDkpJEu3lxTQMgfzlFrZwRKP1Ow4/qwV4j1ULlCaVKsRZ5JY9OnCsT3j5SKwmNyH2Bw+NNvXFZSQPbOs1xUWXBALaEQYkX2vI4fnExHwXJeX9W5S0peTArjcsbnp8f0/VvRoOUY8WrZKgHYhoi6suAg5yRbNhy+beNYJzi4oeYz4/efm7Rz5/msteuyGcEtPjFr4ihIY+fZYMLJD7w9FULuMfAynACgY3xf4FIJFqjwXV1Y17HBtx45ML7v1hoXHoxO9+uQ2FEGZ7AhHvpc1XLQyJ4tfQtDRPIBd2RfhZxAxyjBdV8xXm0vu/aDsVgzfDuNldCEsLUUlUc57lSQ3SE1xebcZ3uOxa9V6VT/c1sN2+HUZkFAKCNnja6dA4rPn0C0Wham+uFj04Ir4kvgWB+asyoWGWcao4G2MfdRk1XwUWuI/nQQ7IP3UrWiYZPA1iTtXUAoV4XHpGKTpFLaBOraUtAMQ1e+mTK40f9q7Dze8jD5pZdeSuvr613GZXp6Oj3zzDPpS1/60m3v531kFMJA6STd+11ZGY4xYbcRYhZEhpQb2Yiisa/rfZlMOLywpTQ9buppTC5lu0cs0x0dwjhyyGijnMZmYOIYnU1GDjjwFLFbFLSRCH+ocg6lb5opBp93NExm2VvHlEQ5l4UhVgWaibzrmfey2X7j9VuiDWSzssy4Ocd76c/hcoTXdCYGvtiUsHAg7FjcE8phxj8aTSRIxFeFCXvmzJxgPSH/S2ZhYc1Kc4ydTscUwsg62PccnoM+igVv3yVmBpwHSuP+/b0HDIxd2EuVDp0PPKiSTJQkGBmAqjTVzLpbRYDvy+gMK5aVYx7k+ZXzXe27DZyjs5dX1Ig5TKf4/bjWqtWSGp/yNI73erjPqbUABpKmHu6Vdf3Dw2089R1JZ5sDQZWHw4eDmufA3mloIwY/3TBWk7rjpWYmRuSgXl3YTBeurSorTlkYFg3YXpY3rIlJQamLYVF5Mgy24c2ZG2TUWKMS3aqBmdxSU7QYO4oFNTFjBx49OSPmHcrZCjw95c0a5/c4kXPTo8YZvrKd3ry8bM1ULpaDuxMCXJwXku/0qFjmrK6kAhsr6xnu33c8ckAMQk+fntemyzF4H2vZ6Ds7GWppGjjrSz7L6DTuDqlxjnLK+momK2sdkcCgqYv38IwINnAwnn3ikDL/z5yZTw8dnkoHZ8YUbPG9p49MmG0qYaupZlSFXeeY2AVsInj0EwcndO6ttgXBnJnsNHMeutmthkRHOPZ+W2uoJQMDup9HXiRNttjJBQhchxnY6XAGd3XWc4UM9trgzFfPBHNwwHpXJlrN9ziYNo+1TuUwW+A8PVbV2jFZ99vPxTXhshHsPHw8O39fB3EfCgMq39p3xyqCi7EWLtxYVXBMBYu/gVIxqFzBgsb8Zl0uqTm0LfahnWAfZMPnfD1bdde40Vl7vWdDYonXoWdmrbA3kcjk2PuNiesverzlK/Xq1av6+9ixY12vHz58OPtdfpw8eVJ/8uOXf/mXZbTe//7339W5xGKjDA68gKzI68KjsjBud4qEkRS20Dbax07PCMfMhAMfTvQpiIE3TkilcAsYhzuSuZBav/fEJQvtxtJ2p+nQo36y6VVlkjvlqexcMnxm5zWVfoXXtGYyZVSdwxuHJDIF2t8y/k9Xi9RJDecQBa2Yyrxyak0WPjDWkUXGuLHwZ6ZGZBBoWmKhcp/JNOGM4JiIRq9UTEfmUJlrifpvKDYVBRlW6hJ2HC7lcXB8ZBKilGfZw50woV2ZcK9mZNdZLAiG0FqB59ygM7ke1t1OL5Me5pkCG1jZNMjR9raJFcT7hhoFAqetNH2rkp48PZcOHxjfsWHlflxrQKPeSnqxYPsoszEWLWNLgxXYRJqSWatdWNEcPSVQp1KxlabGx5T1iWwxo5dRJG57bKKRp8PRRKRqBke1kNRcpPdyTsJf1rQG2Lin4dJvNuUkEazDBwysgj/Lq64oF1CQKk6jZajBVpO9JRvLeQLN4PiUoGenx9JLZxfSpRtrOhdl2aj8FIrKliuj32rLEZ0YL6dz11w6Oq+sm7s+5inMK48cm07HzsxJXZe1ZgG00V5SyXj90oqO8fBx8J2Go4Zmk/dcvmGqhmSaaTZvFs1+4mAF3SIBD9fW2GyluvOK40ST2cPBIYBiQyeIUoAEk4qzvfzgh04r8y0BsK16+qOvXtL3njgE48yKGu0mx8HwR/XNoG5k44Szr4TjbxRqYX+xJ7xOsBEB/P2+1vIO5MS4wYPu59HbFmyYf2PSuNNjDBq5tgxVlglUCUSjkRjIlO6fGygxcXqDLvOA90KTyzw3CGA1zc9YJWVlwxz4CPx7GcwC+hV7Z+h2qK/EufkJbEUpWrDvCjEy+qZITBFEklBjvgpG1zYxKzVqU/2ZqBgjknQE7ERIPjw9Pp8uXF1N3/nuEwpWWUu7NTqiHfLNN28pa072m+9Q06XTFAOpyttxrmNqvCy1XgIQ1GyHqbqw/vJ/P8jjLXe+NzcN1lGtmkBJjJGRkbS8jOO78wAf95//839OP/VTP5Xm5+fv+DyYnHNzFvktAxcoFFOlivKT8SnjaIViFKskNl/j7DUn4uy1daMwUxl92zbgTAjHndxQ2fPNLW8kDNfZeaWTiTM+XAnBVMvpwHhFwQGbdJ5xocvxrhTk5GJEyNhwBiEvL00s/1zI1rLRE8ULN1k0uMywyUgMxLGD42l1vS5YBhvWWLmUpqerzszQ0HeQKQNbhqEjM821cD/JHJN5uIFiFuwJRbiOR9IjJ2d1fIPp7G58lSVpF+RU0ByCESXrF3zDoQSozHZrOPgO5xLPhI9QfuZY2Xv3mLDFgatWDQKDQI45eda4WvCMwrDH5HlKmr1aTt/1/tO7KoPdj2utcmVNjudbOQgKcaxQPCQbU2tUcmJN3e8NRzP6DHj2ZIkiS8t6AU4mKIR/ls2P35E9x8kjsKOZl0HW98ThSXX/f/3VG6aeOFKWEwTenSvHmSMYZa2cOjItqJv6AQqWdW+3C9qIcV61Xpr0GOAsjsp5Xd+E8cSo8eZnx9NjJ2fSV1++rkCb9faBtx2VSuMr5xdd5r2gDLzBWRB+Kuu9b15Zy5qxGGThKmT4nDM/VgZ472OHp9L3feB0+m+fezPdWKnpXJi7Z6+sqJGK62GjP3dtXRkvKhyiNKuU0yGnQLW1br0g0LOxeXO9QXvIps2/T5DFnh3N2JjGxytqKp2l4XnUbAhDWfbxajp2eDodmTdYCJ85f2NdwcCpY9P6zMXrq5bFVoa/JV7jh45MSr+BXB5fAxMFjjvODddFxu/0sWlBhOBjbiSSA+P39VrLrzPGxMToUHb0Xo7oWbJeoO79rd8I/v3M2S1aVjea4ocyjUO/0d/ufNejIxX9aS1vpUJiLzQYIVUWbH40wnM9hm+2vib6tEKdUvhxr3r1a8aOvJagZT5UfcNJdidcvQwjZekE4NQC2RK0xPuwmJ9QG/J8WWtKpMk+mVDc/5+99wCT7CrO/qvj9OS0szkH7SrnCEJCAplkDBhsPhtsjME22ORkDB8mmWDAYMAEGzD2n/SZZBFtooQIiihrd6XV5jQ593Tu//Orc0/Pnd6eme6ePHNePaPZ6b7d995zT6hT9dZbYzqvGLUi/q6vr5Ha2nGFE8ZJW0utXLh7TWGcTIcnXFwn+44NyH2P9nh6/cYRwLrNfJdKmUJ9bPwNRY8IW0g2t8X0unqHU9LcXHdGIaDJ0NTkaClzbnzbMBscOX/IjSST2trJHwAP95//+Z/l05/+tLziFa+QF7/4xTO6DibpoSEjdZZKpDRTqH8wruL3utPzROitB7ygpKGhIIqokJBHFcyUdng8yLypHOpCEte4l5SqVn6JPa/yq8JkDRuJQLEeceU45pXDhdcLhQu8xLY4hPXO0PFZkBjQeAzw8g6OoDIw0cuuygih8Z00k08kZ3R9+Yxp4+nbzdBXQrJtbZMmeAzFUxIOkrRSo0awaov3m0I6tBGSipyDiADXjOGiC74mNGZ0IsNwxliBBqOayGXaZnwXHjBoIUa3lepihnaipbU9RQZTFnnqmxtPxvRz60wInvaphgtvb4NKqTqBp0xSniqfaOXDjCQrovkEJBQOqvJKQzQo/f2jZ0xgfg/CYhxr8XhCk8DsAjObsPxPo2yTKEQ/8AIrFamoYqmlbRgFopAkYEp7tCgSlDMIy2OcaVnn8fOo3J5Hn4B/D7WBnA4825RrhqLQ2T+mxjV9VLnlWpXO0Fq4Dvo57+PNwqtlKkqKrGuv1U3x4EhCGuop31yn3ifmI4xizqE8zFRWE277h07Lw4936wJ97PSQ7Nzcql5/5iNUPR4/OSR9g3jM2TwYGgvXq3Khyjsd1zOmtDvPJqbJyfnCfW5e0yA9/XFJJlJy3YXr5J59XaqogCoQ34uyixbiqQnrcUMjCf3c8GhKaQ86Z2DssNlMZQreO44nIUwX7oCZG6CwvOSZe9Tzz/wyOEwC65jOs7Qd3kY84Mwbp3riqgDEVsI/Fs7Z0irHO4fl8WMD6t2E+zo0nJTe4aRsWh2VZ16zRYZGUvLze0/I/sOjanQzHlWSDY99rdH737S2SeckNjKd3cMS1dKEi3es+ccZ2O8VSZlP0DdttVPr6Z1snNs10tSwGA+7kDNQyf68nHnERnY0MdK7RjbMeIGJyLA5g0qCUdvUGJF2TYA2hfBMcalx2ijtzMbeJN97QgLe9/sdbcCOa2vAspk3eVBBafaqbxK9ZW4gKqcUVm9eMqpoZu5gXVV6KNKYiYx+Xg31pIlqq5TpcFITsSGuUAXZtE1+0nEyHajHMDSS1FyjsZRRIGLuMpEtIooxqafwUAZ6a0aTyalyiRPs8WP9cuBIryaITwXug7E0NDQ2aV8tHmvLFXNufNuwXFdXl2zevLnwOn/v3r275GfS6bS89a1vle9973v6+yUvecmsXIv1+DDx4tWAn22M66AuQhq29fG37PNX3rKX1YsRgddK+aEYtuIlcXmzxwTuctEkYctAW3UCq7/NAmtDTrxDWBcPs6VXmIQoJhETVsTwNQoqOTXujOTYOKfVAmoMniXmjTEvCVDbwQuvlWMLcUlIpuGdRoGjraFGvX1MEhgIXBeLI4YBg7B3IKEeLb6fcux4AZnobIGQjuZa9YgRXjYeBDPZTXsd9KW2Op0AVOyfZLFAXkPc6mX2uPs8G6tyYe/PKrtgjBQoQSXOYXn59thK5Vd0ElYeoIlYYJDxHXg5aD+r61oO4K/C/W3y5A/LKc++GMca+t70Yd3clvE5xka59oOR1DNeVMalpZfU14SMxjeJst4ibzjgJBbltP8ZdQvzzKlchzFupEANLcKfKGgTpQjr23A0Cc1obkMt0u/xFdqg79g+ZHV7Af0SLXB+Y3DQHx4+PKCbSeaGRDKtBaEwNKGJ8Ek24CqS4m3GMCS0kp8n4XfHQ6eNTGLQFGliLDTWm9L2fA/zSDKV10VRC834Et0YCoyXcMjwxPl+Gx7HCBmNp9UDd8nuVXKyZ0TnTZK4MBb2Hx0wlIFanm1GI11m4R9T44Lv0dLe5GjU4sWvUXk0VIKM4ZMrqEWc7jYG5AMHejQKoMmnGTYs0HgSKu2Jh59ckQt3rNIiPf6RRDn4Gy/ZWCgFrlSgcFD2bG5RBYjf7jOvY3QzDjXpO5nR/kC0juIgRE6Yf3m2zGlEBKYac4tlrPmvcWAoaTaS6nyQ+YEntYmCnRqzxWvQ+GGGYkllY29TY9+jcqJulCv0aPvPUSiQ40VqO1pqNNcJ5xrjHWNV8we8SoualwRFMZ2XjasbTAVk1jSldJi+S0ImlEaNfhPRioU09yKVMDTH+hjzjCcV661vjCl7Kyor6Kmt2IqXqpoVNjUATLpDXkI4AzQpHDUW5g1khJM61nXuHEtLgPmBqF4W9RLEC4I6fuiz8bH0GZrapcbJdGAcPeXSTXLbAyd13DG/8L1EuEJjqLuYnAxujPZk/rN0UztfMB+WgywJ8HNRQnUJYc6N7z179khDQ4PccccdhUmKBJNHHnlEXvSiF5X8zJvf/Gb58Y9/LB/5yEfkmc985qxfEwPpkrM6pHdwzKtCBZfKKCJYo9lKYllNW8vF1CzotFEh0PLEPk51oZiNN/FN6PY+TWomhzqrypAyWrmmDDJebLjGJnkRlYHzt7dpghWJWyyUGorqN15lPMoMXgy1ZDBwRgIl14JXh3s0E8i4WsgZ4TL+V6KQDoOL8yOzxM1v39CoixUD0xoZylkdSarMHl/CRMzCn/c2EujPrm2tlX1H+tW7hcdJK3VphnVyUv1WlQOH8pMxkmRPuHCdtDXE5K59XZrkRhuckFHjVaSAhpb0jukiawtp8NU21M21KD+94AmdWBVwPCvdy26vcC3QJE3fhGK9O7mEiaqU+2UFOUIROW9HuxpO5VQFXIxjDaOG0CdGZTmoxHGnNIYQnmTD9c4HzHNjcYJHzKIAV9Py9pnwTeLlxM2ZymJSCVKTvowhfIYtoGOH86Q1qrWxw2hHYxyzOaWP0f/YgLKZp48TJTIGR7aQuIXqAoa+TdpmwwgtJFwTVI83ykCA/qpGILQxVd4xSYSGc541VDPoM6gMYYhn4WjmdWO8qaNRx7xVF+H/I1A2vLLPpTT72QSbsWs805yXsXnfgR6lmjBuo14BDigbtpw18wtjmblL6QQBw2c1UqQmMZv2wYt28OSQoXjAv26O6VjFG/nju4+ZIkOdI2oQGf17k/DFIs/zaWkQueHSjZMmjfE614UTgHmQ+ZkN2c/uOa7PTIt+hEPqhSf5lP4SVjlQowPNJmXr+ibluOP5ny55bDGONdVKtzyQaqzYKqBzphqPhkNvqX9WkIC1srBGFqLAqFwZp5LlqKMI1UBRMlTDKoTJtRn/21TSJfGW8vApNYwLkR9vLjAFamp0DUValsrENv+KtYP+wqbScLZtEj8UKo+yhXdbFcbCutEPR8zGzSbU6/GeKpldI+nLuza2qC1BURojx2uqSHK9tTVG878uFtDxTT81SZlI6OaUtmkKTwVl+/pmecqlbRqN0g3ncFLHLJraqJpUK+3H537/+h3672OdI7KuvU7lWdEWZ4yzDmOzQHm1ZeRd6fhFanzDiWMy+vCHP6zctg0bNqjE0tq1a+Wmm25SOTz0ThsbGzV8961vfUt+8IMf6ER1xRVXSHd3d+G77DGzATrZUy/fLJHICbn3MVMtynrCJmgvews1IvPdqbGCZ7xvOHVG0pL1qqr31NO8trBFFTFKjQcbdRTjpWXnj/4oO2m8PrzG4N++vkkHNAspBibGBjthJizd1WdzElWd6onFe4A1tJlIbAW7qbwhVt2oWPtUdc3RC/ZUAwjJIlvERO8HEwuJiuiaK8fZo1uwqeloiZlsdjxL8NEaa3SwUhlrqlAldiwTGJMmkxxKBQeOD5lyv+31RmIMrrfnZoBBgneB77deBdoSakDvIIlwAWmPBE1YMZfXbHEmezyQ5hv8yXUTF7BKknyMpvR49TJbwbPc5VDpMJmcKdAjAa0YhldiKY41+sCF21fJQ4/3nlEGfqagnTRxMWp4khjbnI8kV4xfpSkRdRhLm/wA3+fMtXl/02/gPbOI4KHy0in9UmCMS74jksupwcn3op7Be6qnm84qHxwDGt6zlnSHe61loY1BafijEd2g6WaBk6saDnkU49dkVJFMBCXhXRMbMI2MaSEPDBTDwaRYDnS4aC4osSbkRSmok9ENPX2ejYbKE0Kvi/omuAnROaPHb6NvcEbZYN+9v1s3rEqzg54SZZOd0jmJDRW/aVvGNp/BuMUbRsgYiUI2QRhgGAdw15kH8DAyPmg/k7ydV+k/FBNwIiCriGOCBG2qDbOhwTPJOZgjp+trVuKM+/7Bb45oW2FA8JtkTPoLcykbepP4hp4y4fy0btSYc8upxLcYx9p21G8aY0r/qSSCNBOMy/AGNOKUzZkEZ5tYqAZt0cTHxos+xbrGb7vBwhAtt5LyVOD8UBybGyLaRzW5Mm82cvQL+qwWuIHWR4SDargkMMZY40xeFBEa+gBrBGO4QGX27AHGH+uQFp0KmORi1kSUVDjHxlV1Uh+L6pq4ZU2jPHSoTyPW9G0Ma8Yk84eJghk7YOuaBukfTcmAl3xtIsOGCsZ1wI1n7dXPZHIaHbtgZ/uEDSebxplWkWSjf+0F61WK+VRf3Hi1UVEjWVqL+YVkU12kMH5t6XindlIZ5kWXiEpemUxGk0sSiYRmd3/+85+XSCQix48flxtvvFHe//73y/Oe9zwNyQH0UPnxwx4zW8AAf9KF6z31kzEZ8wpnWCdj0OMuwgvWHb5NLvEZ6KW6uSmAM/E11g0mQxYUm9ltjVN2snTuUIaOLbrQrvYSkI53jxYWdiN5lJMta5tIU1SjLDHJTMXLeOaFFCNdsyc3Hwl1odii1+69xoRiE004P5W6WOhpn1O9I9JQ1zpuzOTzcvDUkCZZGR1zc34MGibVR8YGlLJj9UPxmDXkIwVOLN6EUp5d5bjnDG1k4+p6nchYyNUrMZaRnkFUFcxV+AsB8P2arJiy0oFGZUGLi3jV+FSSzfMuWyMLrr1KyHkREN3weAoyU60HqufsFd9hMdEkThzvnifQLkD+zdpUwNDYsqZBVrXUaQGXH915VMPq5XgzFuNYO3trq/bfgZHKvVrTwUhseln5upiORx96BimWNc7fL9X0VvWCZ2d+TOIVXmKjp59TTncuhzGY1Y3dOVtaNByNwQj/+Qnnr9eFFE/xrfeflJPdo+pp1jHgUdm4Pt3AZvIylphYYKPYSNKF16N/aCJ3Lm+qwnrXo4UwvOsuUCN1LokUcis2ddSr5455JR8w3n5tFy8HhHGgSWNeG6qx5Hn+MILBqGe44hnWccqcUGdoJnj10RtGqajL8t3DeOdr1XD3b84JVx85PSx7Nreqt7HoZpUuw7jtaI4V1DvI5WgNh0xyexJ6W3RanftSVfuYKwBzpUY9crY2g1FLwetojL6AKk1hSJRTSXYxjjXmOdazr3WPeHP/3MMWPkql0zq/msiMqaPAQlqqJRPeHM17bMagT9CHxihmE/IK0szg8inyyThh7YKmiOoWfd2q5eDA0sTFZEbHLest/VjXfm8OV7lelbQNG/lNvRejZOZViC8UzoGGZeVLtfJkXURuumyTkeqjeJdWhzQKJsDI5ZrNiUa4vARpK8NpNyFG0jekawHjBu+5kS3Oa3/Gafj09i264aTP0ueZe2bDCGetoS7Ad391SJ8V49HSOflek49mqLqudHx1COT99VKXMfD89vVNTD6w3hEoHds2NCk3cGDElEVWPpIqdZiqczMpSAOsM7UQelPNT8OdYvKxlBar38kCaz3IyPIR4sZbhOdm96YWnTju3Nt1xuSmiZ0+b0Nhw2B1yy3nnAXemxy1eqd6jceT2DiXnSDswq28SOWwZWX7ukad3KB/cI2dvXGdcJVr6+O3+++fkBWvMQmxULO4s9haXt5kwPv+5886R9a11st3fnVIvW4kgEF1McozHn/X1wZ4FkBTXVSTqY6cHtLzqpEQDcm2dY2qwrH/2IBuvpjs8MhgVPH8MfitjjMJmP62saXK+bw1qrkP2ot2UsUTpcIYQXFvXzNpvyhup7VttXLJntXq8YzFIppIRiicSmH+Ca6trX5RJqYUjzVCo//89fs1WjNfQC8X/rB6vSY5RmliWoyFcWUWXv97mihF4axmdKFNdTw2zniV1VOHfnQ6pwbqH964SytR3vdYj/z47qO6mHMMES6rOc+iroW0vETIybx8jBPOq/8FjLFCYhNeYfqvRsK8Bb+9pdZo0Cv9jIRGs5AzR/DV6PubpF/jdWfesKwEqDlQaKymsSY41kXkaVds0XwYjlc1FkqjHxso0Ey4fu6D+4UbStgeb3sTnrn6GlnbVqdebpsHA7Xkgcd7tBIfnj+t8Ol5vhm7Dx7sUdoH4w/ajB/Mw7Q5ka4X3rir7OIdVC1mruBaMO7xrnM5NpfG0gts3QA1BJtj2nZnbWyRZ12zdcJmdzGOtcnWtE988wF5+ODsR5rKcRqYRN+pF0qmZoxKDEqlKuTzSqnQaI9ygfMzkx2FrhUJyqqmWu1r5HSw0SJniD5NHyMqg1eXPAKjOGSUTDR/JJXVisX0lab6sG66iVIDLY5jy857peC5l6b6iG44MUhZq9mIs6Hg+2wkC9UdvOClxhPjoCBDiHJYXURf42+uj76ojiSPwsKYZ1xTQRJboTjfgQ0w1Npq6SfWNmLd5DlxLfyQaM54gkbH/V6+Z7Vcctbqss/DOolCT3//6KSc78U41uYCi1uRf45hvSPoUI+l4F9ndIFrIAmLwhaeZyTiDbYq54RxA2sCH9tIAyoHLcBOs06Od8XVo4QhgBeDxCUMQMJiXAuDkB+MQziY/suxtAabAKHJoz6und/IM544MykoL9o3BjAu7Y427ukGF9prKKHFLfAOEUYzWd/mS2gfZJzgjpYaU4ZKYZQSVK2F5DfPqEcvfaos+XQ6L9//1WG5fM8aTerp7BvVJCxbsKTYgDFFQ7IarmYhhd5i5AMz6j3XSbjOyL9h6BIS1+p8SIx5SXJ4U3X7kDWUIf+mRkvZR+HmkY1uaCwshFrVzytTHqCCqHH+TIlSb/cOJ2TvoT7Ztr5Z5QpRcLDl5Zda5TAmcTw0U0k/zgUYN6pcNMUxys9Unfczj9JF0/NC0zdYUDFQGZ9sLElqJGoVSWXVC/X9Xx+Ws7e2ad4D44dCMCyQjFPAwoWhYRZXL/lskovTZMOoKRCkShDehreh1mwG+VsTFrWsc1bHE2OBjSgee4xLxgX9GlURkkzR5TdFssK6ALJwEyngbzxvfBdeYsYl4fFHvCS1QrIzeR4ezUQjZZ6BwnUo7ScXVFrOSGJUuvrjsqatXraubdD51Ja5PnR6uOD1M4mOdYVkVZMwlpO6mJ1TDLhfzoVHsZKwtpZaD5uIl/Fuj8/jtCA5InnPYDTqG6bKaE3ESLfSZ+GQLzVvHvk5xvExf7xvKyAApjO8AdSoXAi6Jdx7E1FROVocQhUusv67LIgnkDydzRWKk1HREkMULevROGt8RB0wGJeFPs5YQP1GpUGNsha0K6J16jJiDQ2afC1WEhwrGPkkGFKUifHD+KC/HTgxqP0JJ5qRMc5K90BCk5RVtre9vjCe7Hyi/yE5qsIKYWlvqpWx5IiqI7ExIQLKesPnGVMIRnCOo10jOufYvAabWIqgAev1VMV1yrGNoNCx9piowLjwQ0dLnf77inPWyOqW8uQMHSZiRRvfTOq2qqEm+HgqFey6MM7SGVOSVkutTjEn+Kdnm3VtvaTWsNWFHAPOC0Fj8KvkmCdJhrwPA1ElCj1lBFvymjCaFrdIZNRbjlfNVp/yTzwmJGVDbuZchpPn7dT94Xeb/VkwuA29RmWSigT1x9srJ4dODerihfeAhZsNAnQTLTCkXNSpgVeYhRFjghCeKoD4JJuKi5sQhWY+hn7T2X9IeXQY4EystirpGd5jr1jO+rZ6ecENO3US+vFdx9UoIIRHISQ8D1pIwFM1wQCBr6vUGG9TYSgB40aY5f9iloe8CoKE4+CNW6Uco3Nq+HrWwLLXN9ly6H9f2yiDygXexKzKOdI/yykvvxjBJH741LAxbuZThcGXvGkLXQC7ebJeZ6tGUPyc7GaLsYC3xyQVm0qsxthEC9qjGSUzGomx3lWMYfpVIRET/f20KQdNLsB0ZpFGqQTZ0aj0DBj1Fb4Do9Do0ueUlkIfiyeyujnn32zamUMwCE50D+t8Qcib4l2cE08ewKgnfwKD1nrT4GZjuLFQU8zHGq42qQqDhSQvy9+2XPC2JuggOUkGDWdXk78zzAnkxxheKgYCc6rmvNA2JFp73HE2wuyL4cwqf95TTlG1CTTYxzJ6jchtVmIIY6hj4GCE0I7WwNb5FgeB5yFko2QSrE10grZoW6KbXe7jnke79NpLbShnG4XcTq9HqwJVGdD8KB66V7zFCgyUu1nAWc6pCnLA3maLTSV9BVrVqtqYdLTWaT+lP/F8b7v/VMEzzGaaddL2cb/nm7HGRo2+jFMFoxhfCjBRK2OEYiOsbjO5GLQ30ckHHu/Tc0ChYq0GfD80UqgazBFGfSukkRbmefoi32s3wGvx/AZFDp7MSu+gqVJpkdFaEdSNQHu/ViNUNq/Bblr5HtrDUlOq2USy1jCXkD/AOk10njFMexAxYrOEZDC1SIphKTCzyUNfjljRxrf1jhDG5Qde85Cn9WzYOOPWqqpgTGE42OFRSJwqETWBpmCLlDPJswiyiOM5taL8hMtsCXrlJHueMmP4GcsBmgQcYz8/u2BY2wRGn0Z5Ke+wcp29REurM85rzIlTbTQQRQgH8xoiNpSMrBqgmeT0Os7Koc3kVCYR/V/VQLW66v4y4T54l1bIVFfPOqFJ37MobEA8iorVVcVAR34Lzu5FO1fJrfed0MkPNRTaw5YTxxvOSawqjG1Iq9nKc7CheRo1GgwZA4KwYZ0JY+JFp/iBTcAxmwrLSPeoKVoEyUvK1f5ndF0tJ9jeiDUUSbw5cHxAq5Qt1Wxy+p6GKtNmszQfKCTN+nI36A+6AbXSYEV5G0b60xjsptaLoX7wzJEjo9gFixDPhqQqpYV4iiW6gUf9KJ3RvkYfoG+wmPNvPMKEpVEvUB54GTaKvSZ0sVtrI2qcnuozFWMBG2sMC4rOoCbEDdEnVfd/1NBMDMUM71xU+w6UNrOBMJtES79IZDPSP5LQZC64m9yDNVz5nF3UTV9v1o0r371jXaNqDSeSOTXCMe6JOGjULmc88bRV1JP9IwxPzgsLOdQdEs2Pdo9o25Ag6+feJlKmraHgEEUgqlCNohUb75MqM4jeOMmvptgPjWs13zF+VJlDvZVRaWqokS42v0tss4vBc+jUkBpN8wG7gS2XI++H0QY3jpeKz0sFyiDPzRjK0J9I+ON5HUHCFmORqFA6q7QOONuoDLU1ms0mYwgteZXAxVCewPk2/Y65HAcR/ZL7w+jUsZtlrIdV7Qg6xvUXrlePOeOkZ2hMbnvglOG+FxWbgTtOP2eMPHS4X20BNpjQXnbtaZEDxwfVm42cKZ+EtkLeCHOOidiY9lYarBbmMZ566htgsPujRYC/eb3aTWQ0GtTxyfoOL94uZKzZjaGgbsBFUnqcH5xvtikwyxUr2vhmR0b4894DPUadAB6yx7Pyc4g1d8Q3DxdzNYs5u8Dv/bYqKoUS1V6iF2AiYMDX11CBMlPQ8Q0SmvOK/qhx5hmAlmqRgpNaKCRgNL1NueTx0rY2nGfPWTzPFRRdfDxZf7Ee+7niap18jpA62de6iPskDKeCMYjw1hmPc0ANz3FqQHHE0nDlxv/GyJ+qDLHxqHiSihQWyeWVz3/7I506GbD4dg2gm0ySiCk/jeHNgnv09JB6Cf0eHWuIqYarFicxFk0mD9+X5E5jYBEGxEA+2jWsi7wa6jxDvsfzFvBRS2Ww96abK++e7fPJW0oSzzqLLvSo1IQDctam1iWZTc6iZOg883dONdpUHShf6Fd5z+KdLPkSw9uG6sdVUMaTkDXvwxsDRkrPbLLIEVBVBI3mmGRju0BhfGJoMreohw16CFrDZONOAY2u6GYwqQbvky/ZoBUc2UBYmU487f1DKUmnTZEtQu0YwO2NTQUPPJ7pFs/D1z9stLW5AzzT0GFQLrKV7ChV/4TzVhUWSGu44j1TmT6fjnBTXY1xHkSIBgx7m9OgLtIYMKqnrOPQ5K3sWN+sCzAFcxiHBSPHq3Fw/UUbVYmE1zFqGHe0pVbqa6yR6y7aUJXnzJ80RtVSYLikJrKHYaHKHOoEQJoupNfJM1qKm12lGnkFYuYSdq6ym5hqUIljXudzrxKxdSjZkus7N7SYcRhP6zO76pw12j+PdY+olDDGOO1CDgKv19YYWsf6KLQPQ81iY03/NTRCisqkjR2QzUtDc9hT+jKUL+ZytL7VEZTOqgEMvRGQVGwrZhdD8z+8zdz69jqlajDG6edEnGzipU2oPN416hXKM04DbQdvYlIhgag5Fu71quagt6bmJ+RTaI4Jm+NqNpG+8LghMY0/aFvRwFb49hveKKRMRYGhDL2DwYo2voENW9Gx/cUyZAo1gskmDl3wwniTPNlBT2RfD9eqV2byYPHUbGqPC8ox8J5ZxFjQMtm01FC0wuOlEiYlPKpUCy9p0uiBhtTDZpxhJpxdfHO5PB4u4z2fysvAJMICfOT0YIEaUNAEL1J14TUMAzx6Wm5bJ4jpB7htN8LkpklMCJ/fY6kzL87fzly/TnrTTNr2fSZJPEBoghcoANGw9AzEvYU8oKHBdavqNCmtB01V22xFOuiFjRQaxEyIHgUFJ7Ya6dmsdPbH1fjAEMdwhqNnaTTk9ZvNnZHVwhPMxJ/IjN+P/9lguGSyJjHOFIbILdls8pammnnne+tm2beJtHSsyZpPN21Z0x+heEGngvKDjVyQG/R2oIaOggGbNdr4YnR8jeE9Ho3ipBjeGLxUgtPkq9GkKUpjZQYngY57rwT6067YLCd6RrUP79zQXJAC5H7wpPFdeBBNpCen3FLlhKdzhdC6yUnIGyMzzIJopBGRhtuytlk3/Fz//Qe61QhQicBoSHW1SSAt1hFmo/mTe47LYydMUppGrLS4CwZ5UNIaFTBlfrluKCh4sPnenRubdRyb3AqoXimV9+N1PGYU81F6XUCUS3vNeetmlDRGsi80Es7BuYg+ELLH6FId/oyhHXBtuza3Co48KIBLUTrNH6WYSxTmSUsLnMONtVX9EKv6Ew2pak44TLJuVq4+Z42+FouFpS4anqDtjmONKDGOFiiFiZODExIXoWpgFKonXVWwWGcD0tQQ1fHHd2iOg1cnQrnk3s2y7lqPtwUbZUMxy+pn/KDPMRYZIyi8aLTVM7QxWnGq4Z03mwKTTKnl5ln3cTh5hbhwwtXGQirCYCKsWd1sWyeeP5+Ce6x2E6nzR11UhgPpM6hgjF/+JqpgqUaMNcbvdBSYjWvMRsVhhRvfhGMI3ZKFj/HVOzA2gfhplEIwiK083URYLqk11iyNgUWHfxpPppFesgYAC/LZm9s0A9tWdoRqguHWVB9Q6ou9BLvTZRAx8dhkJQYak4Dqb0cIa0+UCbQha+WB6wLo8bp9xrQFZbXhnxE2H0umTdGAsfHy8wVKn/8E3u6XtsMQsJSVcuA/N//EYCh3uSjXhlPd5mxOQ+x4zghL8hwxIkaTRm6MTc/+RFrLcTNhTOCaF2lyK43Fq3rI5MNGyFsO1IDQRDPPCLpsT4dKsN21t0sNLbwOeBkxSpgUuQ4MEUxyNlwZW0ax1L3aYk9L0Oi2gPaDl2o29HurRYFiNc35zWYX7XAlO+l44zcLHQsIRiGLpEajMsYQYDE1peNNJIhQeD7q5QwQ9ShI8EV1UcIzSV+BplTsoFSFFa9K6tmbW+Svf/8CGRpOyd37uwqhZTx8eIlVT9hzFHCVzfURT0Eoo55tomD0Go5XT73S2VByMGMbhQY6NDJ+VLEMj6bk0eMDcujUsHS0GuoMXuCLdq1Sb6Kfv4mxQMgeA4Rz0I9pN8NpN92VRRfPG23WNRDX68U44T5oBzYGWvnPMw6sXBrzCRtTlSQdSanxzxibSdIY3HauB3oYHHQ8jVwbmwKtvOt5IA+doNpoUCl1S3Gzy7NhfZlPzDWVTCO5noIK0UwcRPSXx4gEBUWrMfIsbV+lv1gD0JRyF6ljU5LOKa2QNZd52ZaexygmlwFDU7neXrJmfKxf21Jzk9I5TdC0sAnNcMKJxNKPaHt01rk+xgcGvqWeMGcwP3BOpDqt/CVgTGvlVzaoIWOk2vVeo6xZhAxMqXcjy2sK+em9ec479TQjRVhjogM2n4L1Zs+W6iKmtDFjlB/azFLBuPfmxmihkqU17P3SnlNRYBA/aG9zBrisdOPbJlwysZM80dkzUuBJmlLLxojTDj9J9Udg3g/Izg1N0lBXI48fHzDVLzXJ0RhrVksX6StWLBaBXRubVQbv4UN9ykFrQkA/m9UBz+4Zo8UUHzAeJK9wl8c3Nd51I0g2Hgu0XG9LPwl4SYk2qdByXgv3kAtIXR0FQ6JnlAC3iZia/FlkI+pmpESlzOlQ6vjJvqPafH0bEmXCoNBISwOTT16OdlIlVAW4jUda7ZDx1cNP/WCj4jENPO8nBlVQ6mrD0tQQUW9ANh+UGrRYtRiOScbRIkMZVBvCanQbL2RWJ0lLd2HB2rS6XrmBd+/r0UnUPsPCPsee2yuhvlTVFzTkWbThm0/YZzoZzVp591r10v+qzfvA0A5IY51RGNKCHMwLXijE8C9N0jDPqSEW1Y3d0IjRxUVlhGOIgmBc8hxrkhn16FI9zoaDx6lIZjzzWfifpmT8eFI4Cy4KI+r59hKBTZVWU6hrlZaCjsjwmFFQMPQPQ3lS5SZN7DKfI2ETBwHf2dM/prxoLQYUzEpzXVTnCn+42IbWMVQxcNSYrQlJr1b1G89xsXx6y7G2r2oUJ2NoEbzOBpXxaT3MLMzWY8ncyJhCSpSquLz3jKu36Ca6EvjbDsDrpf00QZrEOS/XgnuiDdGFx8i5Ycc4/WYpQRPdho1IwHyh2mFdaj01tRLMWuOfi23xOhwgzN/3H+zVyq5bNjarF9lSG06gb45evFeQivWWMasqPRir5FKJqWjKcXhw+WaSFpvrawobQ63OSmQZz27GyNk2Qa/0VMQwRo2nOinf+/XhCbxmyrN//ZYDqlDC/K5USRKf0yYvhAgMFJdC+3l9j++7aEeLRmdYNwz33KzzSuHwGf9sBkz9gLypaurJkdYGvOTpaF4r5WqBs52rpl0zSiVI+hOWsWus8httyjEkj/qjQ8VjrRgzosAsU6xo49ufcInnW7nUajQbZRLDvTQGqCYn+SpY2veMYYtnyXT85167TUO/lGVm4SLBh8HGoL7qvLUmNOYrf8xChhepqz8hp3ri6nkmDDw8RsKSMRRZJHITCrpAgPBK5drkSugQYcO9NMlWeHPGNY4tH7p4smSQc92q5uElUI6/ZyaHM0ptF3mw/aiNmt258R4uHKxiDIkrj58Y0HswiUiTl9S0FCRg6T1ADfWsSAQvKN6QRFaNF7yHtuS30oNGUxqJONETl7EUoX3D+yakjTfCcgmZTKlEZ9Ur/B5MvQ5/vkFONOMcju9SU18AJOQQ5Zlv2xvDksUTI9VWt2TxmEAp8/R3/WPbFtMq0NGoEuvlKBjaEBQTk1ys3jiropIT6R4w41cr1o0aA5jweGtjTraua5RHjw6ol4t+A6eThUxl8CxVKmPyLjapIk9Gn7edo5gr8CwxP2lpdxInUekQr2CHV7mPSI/y7KmiGUefnms1akc2MU4jauReJLMSIa/A0ySHxqJc13xeGmoiJRUTtJBHz4j24SGkDINKxiqo+/jBn1y78Vya+QDDnvbD4IFGg4cZ+EPWRAaOdQ0W1Ii4PsYuOt+VGOB+uUG89I8c7tP71HwLxqxHx2POQ395y/pmOd09Iid6RrRy4FLb6FIPAFrNYoZVACsVhVIakIfitzV3StggmWrPu7a3q5HtpzYQxWTDtsHrIybaEZaT3XHdFLPO0edtsR27DGDMMsbpw2Zj2KhjjLbkN1RCqJ9a4CqFgpDxKqMYpLUjinjNL7h+p/zknmOqrpWNp3UiwRmDzjdKJhZ43RlfUKDolw8e7JUt6xrlyRevl/sf79Pv5FyMebVBqL6byaphjdHNd+KxJw9Ek5kpqOVF4InecI3TVYWdKkHS5n1gaDPeTX2DrP5dXFjHP9asQpIfrgT9mVjRxje7NkKR9x/o0Z0lg9NWesSYNaoH/IWSwPjnNMFQNbpNiJgOrnxib/d47rY22b2lRQ4eN14Wlena2KyeLAu/p4dJhHMzebARUG+5rYJF4iUX481GnNN2cBYQFlIGrmpP423zFjw1NjImW9rcwSQydwHC7IZfhjGoxjj0Cs9b6U/KLJbEKzZk+AwUGK++zYxRrcFmjSarc05okOfAPTJRFdNMzjhnifes8cbkzi5e27vWbFq0quYIih4m2x7jAuOcyAbPhvOpnFXSJMVwPItBc0NUjfkgHskiTXU9p5f4ieGB9wTJtqVmfGPIEVGZT+ANjkbDhoPtcbQt3aeQhGm9np7RSJ+37c9YxOttN0Zj3hjCgLSRJYoo6cbX08xXLrhK/xk+tpGvw2gI6sL2P7cfUTURPHXpqPnuUnkY8LIHR4yXjn6Lx5nF8NFjA7pYMyfYKozjFTlJroIbmpXBgCncwblU1WEAfrmX3OjJCSldLWpk1PT+QhlNBrUbEUO3MdAQ//EB2XWsWXZuatEEZvohGwsMWsZUJGKKfrCBmbBJ9ygD5of2M7rGzFMY7ZftWaMeZsL2/sq1Vj+csL/WNUiZpDS01H/3CdvK9kpb793h04Ma9cK4MzKn5M7kJyhIHDwxKBvWjHvhl+JGF666VVOqBnYOnysYStXk7xdok16ulJc2Ja0NJD1GdG0eHjX5CzwjLbkes1U1A7rxxOBljmaTq6811OhGl++mH9EXrdddx7kX5TL9Iafz9en+MS1qBUUCutaatlrzfiAgR04O6TlR4LG64MW8ZoqhnbejrbD+19eFdeONXK6dixjLB08OeWtBXla3Gm8zEbH+oaQmCjM+oaOwOcTjn9bNaF7HCee/77FuHRdsKGyVVuW/RynK06Bz0VSe5nISJPkpGOe+vA8M7wlFqHye8uLcA38JeuQVHQxWtPENCuEtzyFaKDxj+c5FVqtNvrLHk6yB5BALG4sli1Cp3eSjxwd1J4kHicXm5/eeUGMdjxjcaRJDMOLRwcUYtkYaVeg0tOxLerT8Sjq5X1vVyiDZjs/7lr+tXj4fvcEmh2nYywulWZUXFmI2DAzqsQQFMjx5NttmSn0xiTYsvsaZjByTvY7ZeTZ2kjQJXWcmvk6XsKa60tB3wkYlhiI4tv0qAd5OvAwY1dBPmPR7h4wnm3Px/JQDGMPTEpV4Mq7qCkRAyCeo1cjGmBetMF5CfhLptHoyiq19m0tgNYjxZGA4HDgxoLzGpeSR6+wx3tr5Bi1k6Rlq5LKBLYoq+C/LKirA4cbDw6LJsSnPOvYbJqr/bdUPKBATDqrRTB9Q495ulPlM0gwGPMpQoPhuNuqaRAX1w+N5WwMgAT0Jjd3RpPz6oVPypAs36LzBpm5g1OiM04cs5cTOYHyfqqHURgy1TUT2bG2Vr//s8ULFVs1VCObUsWC87uY6DQUloDKA0M8Y/9Yrx2+u/eZfHtJ5jgrAGPncs1aSpbS4Jg4b7XtbdruQpOxVBMSQsDr5m1c36PtEhPwhaza1eLzpL2wg7ITHBrXGq/ZbCf2KYxgve4/0a2Io3H2MFBsBscl8ugFJZeXBx0wVTqsotdQwlp5aRWc6zMTw9uc+gTOokFNES4thaFG+yFMKupTRljaJ0aJ90yTSY/TVqXcafjJ9CI+15R6zHmIcs8YNpYhCGzopESnWWy5JK0mi4JVCazug1Cj6NZWUWWfZ+JpkRkM7wYPNuaaT9jtrc2vhfZRWBkaO6XUzxjhO1xOvmvS69gZN9GbDyTFEX/wJz6wxnIN73bWpRe58pFOdGmZTYMYhfVsdQaMpSaYH1dBlU469Uay5XW6CJBsJKF/T6Xb7pT0aR6e9AAEAAElEQVRLKSS5EvRnYkUb33QoOh+lmFHv6B9KqHdMy9v6PL6M9ojK/Jkwcl0UAoIXZvWMI3iWHEzlR8LPTPC2iIXdTeI1wtvJjhpZIgYGEwrGrfKB64zhzAAfGk2Yqld+LWJfFUstapMw4XTvEvVz4RBhVTx3ngGKty87HhIOeHJGDHLrFedgdtfWg8bEwiLeUMs5wqrkMUFXWwv5mH9bJYupPBrVouAJ9iZ2kkPLXV90cVV35HhkQBMcU+PUg3I45Uz+GCOE8ZgsmUhUXSJo2pvJxmTho5hQUyhmpCG4VFYeONBjEuCyJuyJ0cOESYb6OMhqHy9Db2XsrOYstAHVUR5OLjmP3MnesXnne9NvGHP+wlL29cmAIc7GqiZmjGirsGA3DsWfNfKj41ElU4xj3NKwZQIYf4xp1abP5WXv4T4t/mE376oUxAZB+eVGUtRKiz1+clC53JefvdpUu/R4l55Yj0a+bDl2rpm+xWaeCFZHc63UhkOyto2S6UTAzJjncxiiGNQY5Hj2OD8LNgsvBgcc8MOeXjLGAfcGh5UKlVrJVlVczILL92nCKcENnzSoP09Y81V0DoOOlpEDJ4dUAcaGoG3IGo+lRom86yy0tZfkjGezEq80x2K8aBEluPl5Iy1oczqsxKDWcMibZFTUURjrSzM8vnCGTcFZVZDS9RxUnjyfGQOVTQR27WO+pe/4i834k+p5vnCpmV+JIrO5tQag5X6zftHXG2M4lTImCVz16PO6Riu1Cw8zfUUolBVRYxbHC8Ypa+PgWFoeP9ov3f2jqp1fbIBPxWvGS2y9yGix45jhGmxRHZxdxUb8lWevOcPwRT3qf24/qnYD95OIZ6SuJiiBYFDCeW8jrIXBcnr87Y+c1jykYkoJNks5CZJ2rJUz3vz3OJ2n3GGFG9/+hMvGhho1pNgNMwkPxo0Av4Z28fBGjWQfAxwjDk+RDdPi1bSJTT+++5guSnifGJy2JDznwTBnMMNbZOCxyJC0weJIZ2dySqRMlToW6nG9YW9hK0WHsB4HpO80yRAPmAkdwx0nwY+F1VR0C2lZbJNwgic4oKXL0bfGC8+OnMVcE0TwEmiCi/EWBHx8WV1zMe59RomNGFiPx0wMLj+9xeptGxpNZd8Dl08VJ7wFl2Ig9rLK0iWXcWlEnh/twUTNRMnfFGLAMEBukQIOJkHWyAfS/kyQeNSMJrLZhMHDL7TZJMa/UdQw/ya0iUe9nDDiYgT9fRKK/dzB42NrboTmTExdodaC54JxSH+HS4nn3I5BE40w2uvFUKPASpV65wfms4GCAaDVFbOim1kWfhN1GpebtNxt7e+ZnG62WKT3HeuXVU01poBT0EZCqHJpknw1Z8M77/GuEU9XPa8ShRjalIOO1ZhNPf0VD5vx+pkquhGoTwGUJGpV+xvDRZNIA3m9X87HXJVIpiWbN9+TCZjKf9mc2ahYb6WVVrXtgIFk6R0YA7wPV7wrHFRvPsCgwCgguZLj/ZxR2ghPOwoLzKfMteWMAX9IHWMavXwuUjnfPBVfERRTTwEJt7DS/nasb1pyMoNgsmS3+YId5/5qssFC4mD56fNn1NDAACd3ig0TSc/eATjDWhtDMjpm8iEwmMkjIMnQeoyZjxl7fK7ekwwMpb3dqxf1RTaviUJpqawa2rxni2JhG9CHTN5BRh0kOOoePtQr525v13miXF4z30XU5uGDvfKju45pUjUJ/Bj8bJitRrffiKft/IavpWixLrAhZQ2nNkcoaNZpjidizbqPo4j6ANgixZSS87a3z0mCpL1HV+Fyeqxo49ufJBCJhtUDAi8M4zNAEiWLClwqTYYyhpvK/WDIefVt2VFrCXItaoGhZ/zVp/tNCfizNrfoospCYxOebBY2C5sWU8lkddLH4wlv2HrUJhiJk8xblpahu3uPv2rK0pswL9fApDOSz6pRziAwiy+8U8MTNZSMoLS3xGQ0bvjRJIGouoO9Fs/gtufUELIvzFgwbkoYWtaIrkRqTit4eu2r3y+Vg0uH/sHET8lvE7Y0hlg512KvmXB8ggQ59ZSZipio1JzoGlEqAGXmiYhouDqZ1QmNc/G8bSlinoM1RCwm88Db6Abge83kicG19BJWkLGj3yHNNx+YaOibEu2MKTbUkyV6+aHGNeohcYqVjD8crUCrZaTP1Jq3Sjclv9u3gbbPme8NIFOpSd2mWIXOMb6kRav6AI8aWULmCRbEEImTWfTxjYa4enRVE954oZm7kC2lch7H8zeUNqWjtNaphrHqcUeDcuT0iPatC3a0yy8eOKkygyi04PFjPjBtNk6v0equXq6L9WwS1TEcam/DXFQXwXpEGTuMA0uTg0Ly37cdlM1rGtXwxiGBwYyRwxwM1cRqCvNvytBb7910Y6A4pM51oSChCc6+52H4v2ajwtyt5eWDAdm1sWVJGgtNtdUt57MpAzrexw2lyratWe+q34QTWSV/Q4eh19d0E4hHO4wDLCG7NtYUPKz8YAASbYY+AXWEBGT6BBHRdDbrRT+geho+Oc4n+jpRI9Y/k4OAwtCQnquBuSSJfGZWxRAeOzYoZ21qVsqLn9c81caNfkV/V6nNVEZVhmzRKavRzXkn6+fWYRipMTkaKpKQxpnm0eM0ZyOgSd2MS6JFdjPrp5RAYZyrBMniDYNDaaxo49smCTAw8YSgkas83gLlxKtI6HmtmI9ZPDBeV7dEDe0AJQfvAywWWg7WMxy1lOzBXhOy8ko+06l5nU6Pl9oa8BhmQuSpzDC5Bd+JZ5RksBxf56lmmMztbMEDzKaBxZhFjsWZyYeJCSUNQlWEvQ8cG/J0RI1ngHuxxjcqDNBoWMDgxnEmu4Hwo7BmeWF1S4G1L5dbCdNuVPg3kwD3UM28bTwxyEA266TTOzRWNrfRf51sbPJsZPCQ4AHM5lQPmRAm7ZcfMxMfXrw14aAcODFU8LiOG+Klz6P8+RK0HdoMDvCRziHlNp5dpWbrQmL7Boq4ECmY+5LXeHt41oxhgEEKT3ltTUifR5rs5WlgIzdmA2tes8anL196Akp5w4GlpWk1vCKllUJ1WmVYBLwqquPvYaxihCqVzPN0MxbhQqvqAtER77vohy31NdI9OKZjmxC81QQ3Mnqm0A38bYxRyscPjOTUI3z9xRvUU/XAwV6JRpAbFMkkMhIK2k2rSS6OpzK+RGu851DvRNbWRzWhLZcfN9TZIChdxYtYmfwFz/OOoyJoHACA1603DnoNUT+SyOB449nD443hjVHC+J3OuOF+DxwbUHUgDeXDOacfrm/SuRgRJsM9N7KOKr0YQCYyIo1EKiMhpcQsRbS3Vjc3zJbhXVwwDDql7eemeJyR5awG1iFR6GNakdZUo8QxQZT38rNNAq8FEabfPHxaDVbmoc7eUU2mJA+Ipx/0PmdlRHFGkajM5ovPsQFljWTNJ2KMQdtUz9pJ3oOR0mTDuGl1QNf0cnnNBaGHx3qMdB/RcW+jAvUKWiq5CqX6uXUYDtsaG6z/WpCPTbGpKIvtgRefDbqlzxVTSoiqMTdyrqkSJJfaerOUsKKNbwYJxii8KAxK9dAVTUR2F69h00hYPTvrV5H9LHL4FFJAOd1B16A+oot0pmCw5nN4hHK6CFjvL4Ya3EkV4Q9AMxk3KgtKK2XwkW0JdLwKhOS0uIf3np3e+BvpOy13rYt2Xj1AGzpyym83hWGMp51rVr5mjoU1qBU2/QlkcJqZmLhuJho8arph8IBxbuXXVIbR5+1Tj7uqQRhDmkWVdkn7dIft9Zry3IZ3r54oL6HTGkCaRFkh84LvZeOxZV2DDMepzDlxASg3IGoUYPJaJttWLGOC4rmzMVFpOeW/wrcLymjCWB8Fnu4ZnlmDyfIRjZY7xSGS2v7laLYuNlAkpq0xqpu2uYTSHrJ5qa2l3xp6EIsP5cqhW+FR7WeXO8WDNlxVfsLa7jVBk+xlVYXMJqoy/flS6hPGGDUe8NLvB9QIVKpUKic5dMjxhKseMBtAJMZM0Y1UNifb1zVpH6FIx7pV9QXD26qG0DdNkYyMypmS+HnO1lZN6LJqI1DfztnSqgYFGxWMU7x7tJ2O1bQJazMn0N8ZtbzO3/W1IQ3dY6wwzljQ8eppgaKIqejH9eOoYM7g3jnPWNLwedkQYFhjyPzBDTvlh785UpBN1CqdmZy+P51xYxPd8eqhbkK0CzodDhabhIoBrk4JTbAV9XZC6VrXXisjyZxsXFW3ZA2OQyeHZDGC54eRu76jTvYdGaiY+22hEVcqPEbRs6cmRl4lIllTWBtI5LX94J79XVqcStVG1DmVky1I/bXXK20DTXdDZTT623DFd3jSl/Tju/cHla7JuKFvW+OU/q1UE5UgRl40oRQQNneV8Jr9Oubmm20MbOq5hb7JZvn2hzsLORdsZvm3yn5qPpiJRq1uaSjp1eYeeAZnbWyRB1O90yZIltIBX2rr0GLEija+C+WHG2PaifGWTAY6dYJsv7zIoVMjBe1dfc8L04SUk2m44Oop1SI3OVN1zjtWF/GcCXkVlzEvnGua1Bk/FxoO8VTACKG8MkbuljX1crR7RBM+jAqE4eNhHAeyJulPy7ircYo0GwkphveOMcIPA5SQNpsIJieSwHidJE82E2FvB+6XKFQd9FBIsnrNGKZh6WiIFcqsY0BAD7HybzoNeVUzjZaxJxfncaAxKKxXvxwwSR85PaTGCmokEjBV9PztXS7YsPQPJySoSa15ufKctVokCYOFAkladCWVLZTI1jL0JlBQMdTQU889SUHBaTVbFyOYsClgBY1oJjJo08EYqqb96Sm6qGr+RlY3nyRIUW3Twj++CtQp7WckIWJYBsx4VqWFnNSFw5IPYRAb41EVM6ooMmU31lMp99iESugl1uOnnngvokUSJmHm1saoLrh9Qyk1GDQRMmUSTa0muFUN0agbvNmQoaIdODEoq/Z3mcUVzzzcV08ZonUoqXxX3fx5VC0+61eByuTiSl8xSiohjb5t9/SRMUjQ1tcKmF6SOOW9NQcD/fVYxCjJZHKqGW5D7TbJDDlBm7QFx7ucpC0/x9toHxtnCNdgEvKa1QDn/uDrQmfZtr5RNq5u1L6CQ2FVa51csnv1kjUs8GYuNKxqkDWwLTWRzR2eY/oJ/bes71KZ0InOCvoK1VxT6bzS/zpaYhMKvth+AI2TPk0kiGvy94Pzd6xS5xMOgWvOWytrV9Vr/Q2/EojmIBzt1wgnG4cCNCcjr/2QTSP98/qL1iv/u9x+Y4Ue8LCzlijtxNvUMg64Zl4rlVjMOdhs//rB04aX7UXBcBCoohA88Aja4xnlwBcnU/opJUR4SLCeKkFyKh1wl0A5M6xo49uWRKXiHFq1cLsKHkrvGLvAmoXPvMYgTiJu4guzIdeV16QQE+ax71lOtnrV1btsFm2lnPh2wMbDO64nPtWiPt3u2I/hRFqTR7h2vPPrWuvk0dEBDXXxJXWxkC6WajijLc5CDP8sZIT6CX3zPqE3jEqOYZDjsWJhjzSa0rjmPWO4sM/I+jz6tIFNImRSZmKx1BL4cix8wXBAOyPfw7ET79eW6zaGuUoowqEuM4KpBstIUp/x2na4sBgNFF6ojO9onxXXS8SEBZ7FgFc1uVIrmRljpfCgqkThulTizhhHSy3ZshAmtRpz8wA2KSxiLPCprKmQaEtDFza1UySA0j+HoYgR2g6EdIEzz9QkWfMxDF41RqsAxqetlMdUUUoliGuw8mcWHEtao3qnMobD3jOQk/UdDdqnOR4FJYwOwDUTVrZJhniAVQFGy8rTh5Py64dPa1ImcoZ+/idGBXMcm2OjGjOe56HyhkS4iEzhEc/mZX17jRYmYSwDEjd57g8e6tVqnxg6eB6VTuOVzuaH8cPv032jsm19cyHBC23zSpK2ijneoGfQFLaCikTOBudoqGvRiAElwLkJ6i4c9aKQ0BJuuGKLNEQpZDL/0pizgdFCRdGFg41+Fv72+jz0vLGUSRTkmeCQmiznRbzP0D+StpqjFwWFRYHDCW80Jc79BV+A7QdETejzVm2oMWSoGvSDnXUtOjboW0Q9bPXWYtk8KmZCgYrQB2twHmRV3i/qGaBcD5EZ/g1KSfqVguVtsxlc1RLTdYPxoSIJ3pjo7ItPOt+jqsXazGescpGdT1StrC4qw2MmSmV1xSejlKg4xCRjrRwdcGeAV48VbXybipZmQPWPwnc0C6zSBDy92uJJQSkVRQl7agxbEW2yQXydXf8JxzESkWQyW/CW2wmm4AGbxBooVdBG/y5zfeAeBoZTOqhRQiCRzPCUjaoASXzmPFYaKijBvJnwWLRZ7PFWcDyD3FT6C+rEaENwTHBMpuoJ97LU8BZwHOFnvBTK/yt47I2uOOcbi2Q0jG6UXkzbTGhbq5RQY4ogcV00cUFepZw20MSwvGTFTFK6USBEFzSef+6pHA1xVS70rifn0YkoQILhQ1uyKeH5WluzWt1cqzev2tJeIRZ+llqyJWAiR2u3Um31aoCnjH6KoWwHzkgiLQG4kXaTO41c5fgmGw+XWeQtdYJ+ioE7HK/OyNGpoKCSZGgnk23+7AbOr+3PxpZrsTUF+K4nXrBOC3h098f1M2yW2ayiBKF5EiRRj6UnSImaRGyiTXmlzjXXG+1sCnzQxzCiKf9OngpjsmShrYAoD1aVoILGI+kHRglhbTY/qmnuScUZypfnAa+N6LiBGqCbY1+CVyVJW9aJ4pdNG99AQJ0xBcTYBChNJhYpqFlYR4bN21nKgLM+17DVX6csUlZEqygIBngJrjgukNFkA2drRviphFa5h89h6LI2cIxymCNh7f8a0RGZ4KX1F2uyie58lufPl0JXoa9h7NpcoqmUSZ55zVb52k8fUwNcaWjRsHrbUSlhA2FzEJjzf/CbI2V7h4urQbK+VpLsyOsqBxwLy6bVZiNNwikbcpo5nkzrWsl3lKO5XWqslasDXq7mvsOZWNHGN57ux44PelWmzMLtLxdd6XQ8bpSPL5x4WqA64DPrx3BM+8Lc1k5XDerS32l50NbonyA/OA3sBGj4l2aBUU+ERzzGWzvsKXAYo5jJ0HilUvms9EGv8M67Z0ur8uLYkfM9JIxoVnl7vSan7NjQIr0DY1pa3XDQDfUCwxvUhD0ZNU9BwlagxAhIZVJqFJA0lsvnZGA0WTCQbMIkEycex0Eyu73y3pVwb012fF4n0pznIUUiEM+BlGFLmRxUsshVokI/R7GFgWGzoOOJt1XzbJZ/tbASdeNXLkoxWKpcVC0kMw/nMRsVL28CeTPVeqfvmRLQ6kHLsKAbw7ekdKfPAMdwM7KDEdXmhq5lKFmVFRwpfLc3xjQapuWyyxvHRqUIJQ7PY66JkBHdNP7qgVPKsdakaS8/g9BzMIBjISfd/WNesriRMTPSmyayRf+PJ7Ky/9iAPP+6HXKye1Sr7OI1NPKYZtyNJrMTEidtQrZKADZEpX/YeN/sRpbPsmnhWvGCI3dG9MZvuHPfeKZNNdG8GsJnby2dUDwd59R6Ev2yaWwg4OHaQkFskDG8uB6MFc6N93Dcmzci37ntoFx34TpZs0SVGmwRsblEudOaPcxGSujDNWFDA0P20dKoNKqSLX0eVR3ThMKwbgahcj718k2agItjqLgv+PuBJtHWRrw+Zrzf2vf1GLM2TZdQyCbhhTfuUsMar/m6jgbNoUomM4UchA2rGgqVqsv1DpdbDXKya/N/3tK8uG/WZJyHOMHU+GZN9SgslWpul9rQTqUD7lA5VqzxjQ7o/9x5RAeKyu/FgpIZnUQuzAf7tt9jNZWOMYMcr6sWstGkJU8BRL3MHiduks/bpEpd8AJwzicm7hk5sOlVQDAkMIg5D4OU37oAwxnPGgk24L93BrFVKOA3kyheNqODPr4IMvju2hcw+sB9cZ1U8Q70DpoKZIW28gzKUNgY4H5vmkqWpXLSl0uogYE+QSxqVFo4Dq9592DStN0MPagktXIpLfVR5biGQxkJ1piJ22rRTsYoGOcz5iQcDWj4b2+PkYqyHhrDk52obFEpTF/wqW0ERM7ZWj6ncDGB/sHCxeI7mSrIbMEn3Ww8mVqwCm+biUZYqF48SdIRw0OfVP7R65x4jQ+fHCjslCdTpyn+Din2AtoNo4bmy7snPoeaAWo31mtu5cV6BhLSMzimdBRsHCs/aDbRGBzjakUkRcJhp12I0FglhLpYQD3Cd+zt0u9EbYES3XxeNZJJooT3yo7Fq+5rquMaCUTOzXc+eLDPq7jpPYtgUNbjfdZxJVKvhXO8gleeihTXgYGCcYUnr1QyZTmc02JPot8AxzjBmEFF5Xeu3KTycPxd7M3D+9g9lJLf7u+S37li85Ica3lbYniRQDdrcJGhU8L39/pUlq6E9j39c5JxpNVHtShZUJ+hLSa1ob1+UmOvuB8Uoh/xjG4GGXj0VZKT2XiVo0yCAf6sa7bKfQd6pHc4KV3DCV0PMWKtnnil3mFLa4Eihrwn98cYoBIsvP3pEosLnx8ck0ePD2gEgUgOcwMUq1pvs8J1EZ19yqUbS25WpkKpDe1s6IA7rHDjmyI5P7nnmHYcvBz9IyldpLXIRRkGgqVPWN1r/2pr1T1YnjAUjZQViwavmdCrPRzbVD3LU01eHkcSHrbxpEe9Dp/XJLKeIagepb/Bf3lqEOaz6mFuiPG5pMS9gWPvZ0IbqbKCoabs2tisBgMTCQlR6okaSqj8GJzOwdGkJqEysWGEMtki9O+/jqy2L0a3Wbj9rWw3MlxjRggLo0MclpFc2mxcPBQb3lxyNEKYrrIoBcdS3Ej1UVXOzXx6MpM5UNBPNV5DJjEmH9QkSLjhe4wOtyliMt21mOs2NB8mXZLR/Bsf/7/pS20NUTl3W5ssRdBH2JixkZprnLFxLpSGD2hSrzWCPVZJQRu3FCzFwiQgZ9X7WzaKvN5oarO51HFQxf4DIxJjufD1ubx0DZuESMYb0aNIJKRGeY1qaWclGAnpvEEoWvfAXqIYBi8RJBZ4U003o2FzqvJuXdskGzoa1ABHHQaPOo1AopwqKvh2MAQYmJt4vsabbVqs4N1GBi6eUroHfZw5ge9RrW9vnDCBYhSsa6/RSn7F3rhyOadTeRIBz4/kNhLrT/edmtSbB/92KXvzyFVYTDBVhYmymCrLhvdvIqB0pclUq+g/GN7tzTUaNSZyQWTiinNWT+mpLu4HNvpxsjeuRi39qM5TXXni+evL5itz3MY1DcJWs7N7WHNYrONpJt5hreo6mtRjGDhEs/ZsbpHrLtow7bXx/mV71sjBU8OSCxpPvpUdpp+zVuEEI9Krqm4VymdOtqGdDR1whxVsfB88jtEU145Dp1V1EuX9Tr0yUo7ZHmMPtRQD/9BjYVOtzWRWd/fqifLoFhhd7FTtIjyVSYJNjboC4HCbwW8r0w2MppV7XIxSdAzjRTfhN5Ita8Ipiaes0Xmm5z3ofWZda6xgIN61t0s5nMrt9iIGNtTN/WolzGBAvQ28b/nRmlzpceJLVRs0Jdc9WgzhxiT88tSEe7B8a/8jUt3lACF2U+2vEvDM4MLafQvPVhMnixaEgEf5MPreJvxOFIFNGiH3sWRMFXOgKJSbuMlhGH60Ddzd4oqXBU10eLE1Ebn4rNVL0hgAVOWkENEcO72nhNKgyrCdixVQCpvkSq/de5A2YlWoWOp5vivdhmB8YHiqxztFgQ+SSXPS0RyTfIDxhuKIJ1iGRzFsDO9GLbpi5iGVvwywqaXqbUS/j7GIUcL3onxgF1mkCZHgu+ORLvUYM+9gMEdU0Wi8MiAbTubP5rqoXL67wyTHeXKbzK2PHBlQ4x+6GkY41BilpHgFdNg0ZwN5ueqcNephnAnnFE8gBvlUHFcM/am8eZrIvUQTm8VHL1wM8Dt0TATJzO9IV/JsyLOaCvQv1hw11j06GSofU3ltS/UDPjsaT0m/V4+D8fjIoX7dPJZj5Pq/G653FG+9t2hU6x32byp3b2rRa2QdQLebPlsuKCAGjQpaHLQtPOmsafGxtJwKEdUK64a3mv48U2qMw/RYkcY33D8WChYy5gW8R3inlBuVHvdcIo9mOdz4dFS6DKPS421aL7cNBfMCXjY0Y9HStVn9vEVYiEGAYerJc0pt1JQ+L074808v/teROlQ5Nc9IpVDOVDxx/8aA5Cb+xgPJwMEjrwl9JQwL+zpt9NjJYTmiRTTMObl+drxwQeF64tnQEuJeO1r+uDWwjfa5aVPC/aV4sJZmUVykwQ+rGiPevanjjEiCV3m0GljD21xD6RAo362eacrI1xPCTunz4l7xxpiKgNUVqrDefo24eG1kkvJsQQmTnMq14cFYipnlFAmyVQ0XCqUMb6j7tiqjhZ+PXA3MGAhoJTyMC8tnxntklD6M95jNt6WfTZYbYI11uzHGCIZjTdTO7reJDoEBnWcMv70wPlTuVNRg4LNEeFALCqu3O6fjBsOYiNra1lojwSkTaSMY5I8c6SvQWIolzTgn14lXLYTcICfwAX33491mfoM2wyaC77AKDGwEMGq2rm08g9+N8XT41JAu7lN5FS3thvFz6e4OOXhqyCTIleC4kpA3lTePuXVJe/P83Kp5Aps+1jaVkvQiiCZSaCh6hsZnXEjkPbKGcjxG4lRKUxyPQ8OqghiJwZppr4fnTESEjRuRSRKkMWzxpLOhZN5mw3jvYz2at/N7T9xW9bxajXd4sk0l+Rf5fKyiREazic2pRDJUmkK+RTQktaGgbqz5fpxlGyu8t3I3tEuRnrVYsCKN7/o6o0zBQMCzWFhw86gBGE4vhh2aoMZQz6jRqouP6nQbg0mzqIFnvFmNYAxvaBdkZMPByqTHd8hMNmT/U76eBYzvGBkzq6lJDPFkvIqu2WaAY+yW43HACKiJRnTRteHmSIiEq4CRMfMq9mG/oz7GILI6zL6K8towmpCqRnVAJ641rWZBtH5zK4nHa4QK0fzu7BtVBRTVQ/aureSV6yZiYuSg5GGm6nfBMMUIMNKF04iilxsenaJZuYcBFBk87vKqpphqV5O40zWU0s1YpaDNbblzK6vFYmOjBXgvo1Em0rB09o2pp2QpSjsR8l2MsMnLxbbvTEQvsD15XjYpMpU2lA9N9gqSI2CUgUzRJOP9HclmJv0u3qJvmAhLVqNKjbGozisYO3i4ojXkLRhVITbEzCka4s9B8zBRLrR8WaChWg3lbPVPQychh2PbuuaSQ2hNe50c6Rw2Sishky+B6gP3gpoR56gLhlW2rVjSDODxZs6Dc9vQFpH25pi2DXMPRxIRoT9v39h8Br8bgwEjGm8gcnBardIHDIHh3rj8+K7jGl2xfHAMtWvOW6dtXcxxnc6bR+GVDR6NZSmixk+6nwfoZpKiYvD6vXAPTUo/ZHyZNXZcuSlWE9ENF8cb6UDyZEzCf6lhR04GoKIwxl+5myL61Oq2WvnGzw+olGZTOKo5Powf0BIO6YZUi/E82iVr27dWZURW4x2ezURGHIFsILqQChZPulPzp0xSKXrfCB0cOjWoycyV3qN/IzOZDrhD9ViRxjcZwFokR3UwTYEY9SixgHirL0YeA4EdaVffmMTzhM4DsroppsZxbSyk8mPoCaOCYIpUGN4gA4DFo3coozOPTRyBg9bRGtJKZLm0USPAcwAH0/ChDZ2kOKkz6E1ofpnCqYDHgYmOYgS9gznJifHw4+ky3zmROmNlBothz13Q3dAFlkUzre2m0kZesiQTMV7xfL5G29JGFaaCX2qxHJtH+bqet5LnZErnjqsozDW0vZTDb3i1eAUwiqo5t3oqvRwD9X6HjM46oHAExgVtisHDhoZN4FKUdvJXQV1M8CsHyQw93hZUPj1/e7t63AayeKIMvzWi2t48SzzXJmERI3YqxR4UIDDA+U42z8w1eMoI25M8duD4oFI5MGRbvAqiWiGXMu+eFj7yonBc6TuprKk2aWlftu6Tqbp75jPiMxgV6vVWOhabh4h0NNfqPZ3uj2vUh43pA4/36AaBCoOU37bgvfWr6jQxVPWY60hsRJ4wJ4Nx+LdhufHSTZpkXczvJsGT8YUBo+XB1zdPMMB5r3tgTO9C5/MaDI+8XjOfwWgoVaBkMm/eciiyM1kkdC6g/GKvzVWOUqsPG0URpVvp/O4l9daEdONXEw7qpgh1DksxVPgGgb/l6esm2mqcVy1N03u+xyMno3K8e9TbKFKZ2j/YzbXjET9yarhqjn813uHZSmTkPkn2ZM1Quqd1Tnk1RRBiCAZzsmuDUfyp9h4xsCvR3HcoHyvS+MZ4ZhFhARlNEBJGpouFxLxPt8LwefTYgCm/7lmpdPQta5s0y3nvkX7Zf6RfhfzxAAVtyWVK0Wu42VAKKFfd3lRjkpMS0EYy+j0sVirXpQasUdrAeLUGsZUrG9ep5jqmvzd14CMVyEKfxTuFZndeghFTvdJWrLSqC3beUyWPEmFAy9W27/HdcOiA/3pUySJLwQyK1xjPm9JELC+8BKqxy7RdvGtX5RZf1cC5NsCt3CPJafw1E/UOlaX0Pu+nmxTz4DXRkwqNS1TaCcNwscJGHUwehakiWQ19CDTEwmrIormNXGZjbVRCoYyG1xUeTxpvM94/DApYI5Mpp+Ahr4tFtZBI/0hCtqyJmaI5HjDEWQyT6knOye5NrZp7oEV2vHGdSuW0ABa65OxTO1bVGwqA0ki8RFItzjOkGzy7oGJ4U6ES7zqqEMiJ4kHEoMATrgWISNr0CmRxPB5qIn67N1NJsl6NKz7DcXwHERA8/nwHhjUeZgzvi3at0jnqtgdO6rUiI2c9nBjVJH8yB9siOWYM5uUIlC+icpmsHD5tNgk8R7TYua/JNqqTefO2rmuUJ1++tIvs8LzmA1aBi/bHsGU9w9lCG7LGYdTSz+nDPBciekSEKO2uRjo0RY+OaOmb/vnbrkdahTkv0tgQ1TmQCrVTzX3+yAmbUepa0FegRZospnGwHgP61kw4/pV6h2crkdFuMBhbSGeasUDukycrGguptCNOOOheM7nHSjT3HRaZ8c3i8MlPflK+/vWvy/DwsFx++eXyjne8QzZt2lTy+P7+fnnve98rv/jFL7QjPfOZz5Q3v/nNUls7Ox2Ajt3RWqvSW/AKbUXFQlKUlyTFwokfmsUGpwKbVXiDtz982kiAxcJSn4pILBo03OCRtPShG+19h1atVMPUkCMZ74S7CA3DgcTDidTQ6FhcsjlPu9ozuouNgEoK6jFhMdgoO43xzHVA0wiFkT40x/gnOi1EELI0knEU/vZxT+GB56fSFPdrAiNTpjSXbMGloVOeLbleBbg3qxtt+ew8T86tIe3paC4Vwr8oQBUh+GACELNr6ttKghpZGDGTJZMe2rJ4aVR9phyPyCIba+hjL2bYkDf9PxoMSLwM6c5iaB+sCalR2emVQ1/dGtUiNN3eplp1tZFL02dsqBsYvqW87WzY8SDjJcbby+JKH/CDKNqODU3SOZCQU90j6n3DmMFgxYDFwD/VNyqneuK6ILMQcy6/cgrPm8gECz7FdtSzHgmp9xhDDi8lvG8+g7OA+fDBQ31qQKmOdzqnxwyJySHBkbD/6KDONVBKUEvhs3wvpee7BxPSN5ySptqIPOe67bJ5daMaTBje93il7jGaaCc+Y6XimFMw2kfjhvaFJw86HUbf8KiRkav18luYgznmADSbSTaqpbx5q9vrpL2tQfr7R8t+7ottrI0ljFNkrlGnspEm52DH+ibt9/uPD2gEFYk7HDAq7ziaNmufBJRvTXIgz5j5e4Ry70pXGXd3YyOzzlnqJA4cFECQrKR/YdRPhlKRk85+NN7TmozY3myqw1oQfQF4oGfK8a/EOzxbiYzWg476mRr02BqanGrsFRw5rLs2R2vJ5jEsY8yL8f2pT31KvvKVr8gHPvABWbt2rXzoQx+Sl73sZfLd735XotEzPWOvfvWrZWxsTL74xS/K0NCQvO1tb5N4PC4f/OAHZ+V66NgMFrwnhFJrWO2QwEpldKGz2r8axlUYI49ODZebzGnKyLP4sUjVerxxFki8O3gBMKwZ32hxMvjF+zy7Xc7JwrH38ICMjiFz6FvwZ8mmU255KqtJnc2NtbpwopJQnBxmpfxKeXH9Get+Xe5Sx9nfViWCkDcLM+cNBA0tBS+EcsBn6FiCgmMLAhGx4N+q4NAY0vMxAReqqs0Q/q8oFpaZrJhKNbBRAKUoBMgDMJMmi5blD5cziS62saYLzDzRgqqBrR7KppLFUrnW2cqul76Np88UszEye4DnhjGMkYa6DeNRPd1IakI7meT7OD/G8ra1jRpZw5vrj4pYYNjW1UWFLoFnMTYaVu8juRZQX1h8ldqUwcNojGOb/AgFBSOVeQgDB14442a0L67yZ3jUrOFt70UX9QCqGtwH0TsjV6hGcDylCz38awxfuxkOJdLqmR43qOvVeH7w8V5tbwqUINfJv9H6ZixTGIXvQiZOpeJ6RpWqgDHFMWtaa/XfWkiljoiDmYHwtPIsMLhwkkxlrBV786oJoy+2sWaqh84t1JHjReWA1koIB5Xfj8FLH0Libmg0afJWIiHtXxs66vW5wkt+ymWb5doLMvKTe47rczQqH/nxEvLQNJVSaP6GPkL/pZgb7xV7k0slMdL/oGqRpIxHGKfXqqbawiJF36APb1k3O4od5XqHZyuR0XrQ4dxrMaHRlKn66Vl0jD3GKm171qaWJZvHsJwx5xkaqVRKvvCFL+jEc/3118uePXvkox/9qJw+fVp+9KMfnXH8vffeK3feeadOSOeee65cffXV8u53v1tuvvlm6ezsnJVromMjW2R2v1SCMpqgJCgYWaPxY235WxYekhgI9ajiCEaflr012f/mWFMRzobTmAwY4FSMY8FgQSPbemAkrSG0kTGjFlJI3JxF2IxzysWzo2aConAOO/26GrPwEvpjx1zQLZ/QRl51Mu++poLljvoNBDYZTCq0hUo0ouiC4T1DK4zvgkeKUcqEz86fBVkN00hIX9Nkllm09krRWmZTWKBY3QbfPUVRSGrDC47xxsRsNY2X0ljroiKqLF6wuOOtU65l1hSAKtCAynjG9HnGNGObvm42mWzUzF1j5LY11eqzxPjFyE9Q8ErwRgdV+YFS1cqX9RLTABvL4bGUJinu3tyq/aC4BLoWDBlMejQPQ0VhrDJHYXCwGGOsGKlPrs2MR+YdoFrbXin4p162UZ577Xa59oL1aiAjgWYNbws2zkZFxatb4M0L3CPXubq1Th0QmpiZyevmm5wZ1TMeSWlFYeuZPNE9Ir968FTBYKL9lZIQhs4SVoUcinZhWLAJwBt40+Wb9Bov291RqClQKmnNaJ9nvbL2c4PFONZsBHeuYGVjbXq8GuLBgM5NOzc0q1b7pjUNcqJ7VKMVcL2JMOOkYl7mORPtOXx6SC46q0NedNNuuf7iDbJjfbNGkVmXMSrtv2s8w521l00syjZ4t1UX24dSSYz8n0Rd+rYKBYwZOgyViHGwmXyEern0rPnn+FuqyuY1jdr/qRrNb/p4uUn11oOOoglJxvR5nGtaxRdq6Jjp+9geTpVkhRrf+/btk9HRUZ1sLJqamuScc86Ru+6664zj7777buno6JAdO3YUXrviiit0AN1zzz2zdl3IFrFgouHMgFQZrJSRAbSNQndlUWRBMEVyzARnQ//szlkc8ARZC4NjWRhGRtnN56QuFpJGMu9rwgWNWhbh3uGELrrwKbmO2UpUt9xheG4UzCBszeC0hWEwAggXMljHi2fYwi+8xqRnjHNPwlvNTjPRlj4fCjF4NPhem6CJh83K52mil897Xo3hajcDGj2IRnQB4FrR32biZ3LG4GByNzxpUxac6yrnuwttF5jEwFLe4Dish0bPNcUNqSd7mmfL99PPVAorYp4T/ZO+hYfk8KmRsjwii3GsDXuLwGIFxu/mNQ26kBGVpnl5FkiP8mz94DHS57TfKc3EaGY3N0IRCXvzRdBL5hz/rDVOGW871zfrhpGvxmsIHYXnrZq8aG97G1lUkshLeeplm+T6izboefCU4RHGAOb3yZ64Gri7NrUUkrioOslCzrXZSInRSmbja6TI2ACkPOOUe9y2rlG9dvxgAHCuUkmY9HkbKTDJzhOhRj4bfW8TwnzAuYsNav5mnKJmgsGEDKp/HjW1CIwWNBxiNh54wM/d3q7XWOvplOs1luDK8brSCcoY+9ViMY61kcTccL5ZK+pjRmceZDLQRQwlZGB03FuLVjtF2FZ5G8azt7TKrg3NE6In/twVjMxnXr1V/uzpZ8ufPX2PnLu1TTZ21Ov3QuVEp54kZZ7lptWNulbSt+HzW9GAqZIYWfu4jjVttbrO4f0m0Zdxd/GuVTOSGZwpOC+bFTaTz37CNv399KvOLDQ1nQedtqdN+Bz3ywaDaBlj8ZytbfLUyzc7VZKVSjvBEwDWrVs34fXVq1cX3vMDL0DxsYTwWlpa5NSpUzO6FhvKAvV1EQ2PYZwZAzQkvQOjMvh4Sr1OBQMcSTtvp69JlZ5sHwsMgx0DN5Ea1AGAga0l1IOm8hsLINzNgndGKz9mvMp5qKPEJKr8ObTAA54miXfewmJW2T2ysGFQqJygV/iGRd0U2BlPnGQRZpIkYYnFzai1cJw5uyqXBIwHn8/wHbzPgqiSi8hMed9FuFErcaYMNYLzYnDYog/FQoIFL3sFlA0eHWstxnZ7S430UGEzkZH2llpZ3VanPxgeGP2GOpTTSl9W43iqMsbcCzJdJnEoU5BctM/BGlLWFrPJeXyO5CEWJ01+82hKHLeqOSqDo+Z67D37HZdWh109dWrYm4UJ2gwTKlxJzsHvdata5fpLNmqS2lIba9YDPB+ohN6ihrIXLidxELpGd39cjV42z8h0alEOb2Hne3leKDBgsJLoiIwXlDUMYBY+xgDJ1rGAUTZhXrFa+yQps/m+eHeHjDyQ1uqPqssb8NQKPDlCPMd6Xc218oQL16t3DPzOVVvknn1dBRk+jsEgve6yzZJKpuXufV3aV3I2yuV5hfH8YWRzPcYoNVEo6HKcb/uaRrn8nLUFPizcZ+Y09JF1Q+HbRPC3qit4xbomeJ3zxttmc2E0AoAR7vUDkwQWVt42HjpTH8FEyLj/4nnUSKLmVCUF4+mys9cUrhFjDi87aif2eNvO3CvXyHPlOP+cPxVsAp79PR0Wy1jz31/Ck6ydLViJQCvvqlK5GtXNS63qdVNBslkVYuzcpDk5mvNQO6EiqgXPiv6LXK+99rVwprWKZKP84t4Tcrfy/w3nmzmRjbFVusHjC6ec7+AZ27WcPAb6f214oklDrgIGOBQUdOBxaiChyWcr8QZX2j/KBfddLTavbZwwL5CQTZ/nXklkPmdb26LzeM9VOy5FzLnxDccNFHPgampqZHBwsOTxpfhyHJ9MGu50NWAiaG0d7+jNzXWyfWOvPH5iSD1fyhPLQyMZkHTAyICpAggLo0rxmWw4nU+8su+tJFUEg1JTE5bjXcOamY+yAIlWI2MsQhGltHAsCy18cbxBLBIYjuEIHnVLzUDu0CTdWfC5vGe82dc5v3q4ihLvWHww2vCwMREd7yL0l9HiGY0NhlemHnu8YNmc8cTXRqROohIKh6R/KKH3YrnrZKbjmYdvx/lskhbfA4cdCk4obGTT+BDhLu4lEDSbkrXtLKYZSaZGdcNhlVXgr1qZR6MPW7rC5oRnRwIsWsPhoJy9rU3q6mr0WiWYly3rmqTOKxDCb54T3o2WxphsXtcoxzpHdMFA6qr4HIaaYzzYm9Y06kJCAm7XQFwTgmxhIW1fFBHWN2m77D3Yp7xYPqeFQjy1DFNAxBRMaG+tl3A4qVxVo2ts+MCcL+R9Dk83Gx/aTtsFD6iInLNjlfbH4VGzcfj9G3fLujIm6cU41nZtbZsgKTkXsAVzdFyiOOQ9tGJj3G76dEMZFB0r2ze2ar/h5+xtGbn30S7lZOMZxlONYY6xylgCjFU1Sj3Doq42LFvWNxv+per2h+SszS06F5A8CA9Xx2yMSqUdcvWFG2Xf0QHlJTMnZHxlt/EAY4xyjjbC9KubpNVLWKU9z9nRoQYn18JxakB4BZq2b2zRuaytyYx143FGrjIojfU1EstmtZ9pwnQeWlNELt69Wp521Vbt+37ccMUW+c5tB6V7KKXSqSZal5We4bR62Y91jcjgaFram8392rmNTWQyE5Q17fXa3ylIhffZOi/o92xkhuIZ2bGhReeRQCgotbGI1NZGC/OotpuXpL17a6s85YotE66Rufu8navkocd7JZMlapnWdmZssRnnns/fuUp2bmkvaQBOhSZ4wWVgMYy14jUtFBHJVOn8NrUFKJxk5G5VMpfkPa8uBE4njcg1RGXnpha58tx1sm19c6EPWqTyAR0z9rkWAw5yfV1U1nQ0Fvq2BffC3N5FomxzrTqm1DnmjyLVhGWUvoYSkHfv/rW8tbn2jCTGrsGknLezQ571pF0V94dq+8d8Yap5YTGjaZG147I0vmOxWIEjZ/8NmHBKZXlzDMcWg+Pr6qpXTmAiGRqaWPDjnC2tcrxzWA4eH5C1HQ2SzRLiCgiUSIxKWxq6IPvnGZoYp+zsKVPf2lRjjM22Oj2IinKEtO7Y26Ve4rFEuiCDRbgZesSB4wOm8hfcyBAaqTmd5EJUu/RH6XUzYAx/63nT4gU5lHwNoMNgSCNniLHA9ZFkQqIlvEsWXEgfTGIDeIvTOV0k+VsltZAoSmakMRaR83e2q+FBAtTWdWZDgicWviZePpIA8UQwuPce7lMPsUkgo2y08YpQavp3r9shff1xlXpCUJikGgxw4+31qmDaSAL3qBX5Jvfy26IzcL3TqLgMjMnZW1qkfyQlPf1jahzxDOB59g8llW7S3lijXMTNq6ETmNaCH+fPK+X8bHq4p00dDRKLBOWsTc1KK1h9VodcetYqLbyBcUHoDsODgjd42B87NiAp3UCYjQXPGA+48WEHpG8goYvZurZaDbFrlU8tWIT+akBa6iPax1SdBU8SUYXRlEZjTKX7nMTHUrJnW7vURgIlVRiYwPwehMU41ppiYaV29QymZkyl0uJK6nk1rGz6BcakpUdp2wfQ1TYbHKWUZXLaf+Fz+zewq1tqNSyLGs+Yx4HmWZ1ur5OuvoTyVenTJpJUqxtbZPYYE6vZdLNZ9gq70B91Y+j1Sap6Mh+sbq6VeNIkALc312oZ9WjQaF8fPT2s99VcZwpj0CdUBcIrqb1xVZ2EJXfGc48ShYqxEc7LyEhC+wC/7Vx2umdEdbOHRpK6EFv1hXPWt2h/I8l8bVutPOuJ23Su4rXicyC3d92F6woeNVvABu8mXs6u/rjc/ItDqmZiaXk26Zyx0lwHbSAsw6Np6R9MFDzTXAsJmVAL8ELeu79bPey0h0aAPP49xYOQJtyyplGedc0WvZ/ia7T3C12wtaOmsAkh4sg8ezYboMHyCzzRX2jLoSEznyyFsVa8ptGuj58sX62lOAqkz0/rJwQ0ARc1mivPW6PRBOY6Npy8Pu41zp/RxmHJ69zrf64WzHOo7xBlKtW3QSaV1nmY+S8kQUkUUWk0iTaXk1QiNeHztj88fmygsCbb9QCveaX9odL+sdDwzwszuc+5Rjnt2FQ01pYr5tz4tqG2rq4u2bx5c+F1/t69e/cZx5M1/pOf/GTCa0xaAwMDGtKbCYr1W9e01MqNl2yU+w70SO9wUkZGk+oRMsUqrAqIV6XLW9hjkbBctqdDnnThBhW5Z3Hq8xanXRtblPuGkgoezyOdQ9JS3+AlYuEJCOsEhFGGx4jKmSyMGNh4QrXMvNgQtwnf8lk8D5rZX2skvzAuj3WP6nch9cS5Eknj+uO7CGnz/ZvX1OvxLOhaza4mrB5zawDDcccw5P7gfT7x/PV6zyapxfAxO1rq1LNEFS0MdsLhGO+jiUYtnqEKDx43fk1bvdx05Wa54Yqt0ts3Il29cV1woYH88I4jqnrA4qtJn6ihhINqINvy43D88BqT9MZGSEP7kZCcs61VnnzJRmmoiUyQcoIzavVV7TMgisEzsPeB3BVGA0lpvUNjcqJzuEBfMd/PZxr1O9locD3QVa6/cIMa3Lv9qmGU626plWdfs1Vuve+E7DvarwYGW6OWWETO3tYq52xuk0ePD+g10ca0Gd9DFUEWA/iKGO54DjknFBq8fIRRbfvGvesgrHvVeevU61SO9vBiHGvoVF+0a7X86oFTZ0RrpoPhGBujmX6AZjgbG/oAnmnVyqWanqePy8DBO8fii6KOSuuht63GuKGDUdG2rSmqUQoMbD8thnNxfHBVUBpihofMRpuNMRu3PZtbNdmP0DXPjqIfJE5P1ifTRfMCfYfN1sU7O+To6REtzoVhrpXpcqJVVLkGjJOLdnboseUIH7KI2bmMc2cyg+p5J6qCJ5zEM+6dPsVYIKmro6l2yu/n+5525eaS8mm8x3MlYZL7tZ505j3mCtqKRC8MadqBe4RCwjgn6Q5u67rWOsnvXKWqJCToFas+dDTH5Jrz1uqYI8Gz1PXZ+9W2Tpq2xmC3bV2NXjdtuZTGmv9a//L558ubP357RZ8vRIO8Ohd2nYG6QPuX4gtP1y8vmuK5MqYu3LFq0u+AwsWmECk+f/l1QD+jP5KXwHH+ey/uD8XrQbX9odr+4TA1sq4d5974Jgu8oaFB7rjjjsIkhczSI488Ii960YvOOB6t1A9/+MNy5MgR2bJli75Glji49NJLZ/36mFw2rmmQjASls5tqV2Ny6/0ntQolq3dLJKreUiYP5gF4ltdftFE/x89k2p5WTgijyk5AeBDMAtigISK4aximmqwYwfgjAYpPG1kvCutgRGBgQFcx1cJMlbhLz+rwxPXNPdhzQeXgXOdsbZXrLtowQX+U9+870K3FgwjtMutiZOze3KLH2ol2QtGADBUWY15pbIxuON9BnWAv2NkuY2MZXXDxLlAmGo9XsfTSxtUN6tH9xi2P66TKvanmsRBFgGqT0WvetbFZaR20NYs6XPInXbROzt5amrs2nb5q8X2QyHPdJRvVEOZ+oI4cPDWk5yLjvNzSubz3hzfu0uz7Ti2fzsbDJKxx7gt3rZr0muDiETW470CvR/UJSLreTET+9uU64LkSbi9Xe3gxjjXum4RBjMF9R/rLTsCESoLBLHlD6WF8bFnTpJtKlDJo+7AvWZHxQRSCsbFlTYNGZTiO8YbxzUK+Y0PzhI1ZKakvvHo37lilBWu0WIduZCfvF8XyYuVo/nIMyV5mAzegNCluEuoRBr5/LFYC/7mPdo3IY8cHtN1N+fXKy0JPJZ9Gct0LnrzzjPtkLPnbdvuGZvXCQzFhM0mSGZ+djfLVC1l9bzGOtVV1dbKutVZO9RtKzGRA6pb+NkJRN2/ziRPSzstEJartgzN9rjOR4nPVGB2WEgL5Yv2qOQASTF/72tfkfe97n2zYsEH1UI8fPy7f+973lCfZ19cnjY2NGprjcv7oj/5Iw3HvfOc7VQf17/7u7+TKK6+U97///TPaafX1lTZitIJga70aORhBZGPbhRFjqNqF0V9xy3rB+Kw1AIrPYeggyIMF1LAmpI5HnBC2at6uayp43Yq9bExOzKN4LKjAefbW1pKTDp5qvBLQJzgpySfw64qPtWV67SRWystX6vuL27K4PUq1K4uxzdoubqeZZmoX30fxdU/3/lyhnPZVL+4kbQna2urPCM8t1rHGs6eQyr4jfdI5MKZhbOg9GHeNdTXa58nSRyffVHpFGtNUgsWDimd11OsfHMtmDoky5PSI6BiJu2whGuU/bueGFi197n+2U41Nfs9Hv9CxOMkGrhxMNdYWsm9P17aL5ToracvFONYmW9Pe9tnfTGqAQzlivmdsEDmiUBLtzwZ149pGuWRnx6RrR6WYyXOttA8tdP9wmL12bCsx1pYj5sX4hkLwT//0T/Ktb31LEolEoRLYxo0bdbK68cYbdQJ63vOep8f39vbKu971Lrnttts0IeVpT3uavPWtb9V/z4fxPRsLYzkTUKlz8D5GGNw2POUkLNVFw5NOXIth4arUICjVrmAx3cdiQDUGwWIeazx7oi/haES6eoaVb4/RbJ+13Rji8YLLi0Qn1Ror6R+VjIfFNnaWk0Gw1Np2KY61qda0nnhcPv/tRzRnhfZ/+tUbZft6Y1SnUrmKHCoLhcXUhxbzWFtKcMb3PBvfiwGVGt8O1cG15cIaBIsBbqzND1xbruyxNtU4A65/zB5cW84OnPE9juV/hw4ODg4ODg4ODg6LBM74dnBwcHBwcHBwcJgnrBjaCbc5VbU9whyLUb9zKcK15fy0pa2MuNjgxtr8wbXlyh1r040z4PrH7MG15fy0Y3ARjrW5wIoxvh0cHBwcHBwcHBwWGo524uDg4ODg4ODg4DBPcMa3g4ODg4ODg4ODwzzBGd8ODg4ODg4ODg4O8wRnfDs4ODg4ODg4ODjME5zx7eDg4ODg4ODg4DBPcMa3g4ODg4ODg4ODwzzBGd8ODg4ODg4ODg4O8wRnfDs4ODg4ODg4ODjME5zx7eDg4ODg4ODg4DBPcMa3g4ODg4ODg4ODwzzBGd8ODg4ODg4ODg4O8wRnfDs4ODg4ODg4ODjME5zx7eDg4ODg4ODg4DBPWBHGdy6Xk49//ONy7bXXykUXXSQvf/nL5dixY5Me39/fL294wxvk8ssvlyuuuELe9a53ydjY2Lxe83Jpy+985zuye/fuM36OHz8+r9e92PHZz35WXvziF095zFLol26szR7cWJsbuLG2eO9poeDG2uxjuYyzOUN+BeATn/hE/sorr8z//Oc/z+/duzf/0pe+NH/TTTflk8lkyeNf9KIX5X//938//9BDD+V//etf55/85Cfn3/zmN8/7dS+HtvzHf/xHbc+urq4JP5lMZt6vfbHiS1/6Un7Pnj3aTlNhKfRLN9ZmD26szT7cWFvc97RQcGNtdrGcxtlcYdkb3wyeiy++OP/lL3+58Nrg4GD+ggsuyH/3u9894/jf/va3+bPOOit/4MCBwmu33XZbfvfu3fnTp0/nVzIqbUvwspe9LP+e97xnHq9y6YD+9Jd/+Zf5iy66KP+0pz1tyolqKfRLN9ZmD26szS7cWFv897RQcGNt9rDcxtlcYtnTTvbt2yejo6Ny9dVXF15ramqSc845R+66664zjr/77rulo6NDduzYUXiNcEggEJB77rlHVjIqbUuwf//+CW3pMI6HH35YIpGIhjAvvPDCKY9dCv3SjbXZgxtrsws31hb/PS0U3FibPSy3cTaXCMsyx+nTp/X3unXrJry+evXqwnt+dHZ2nnFsNBqVlpYWOXXqlKxkVNqWg4OD2p4Msq985SvK77rgggvkTW96k2zbtk1WOm644Qb9KQdLoV+6sTZ7cGNtduHG2uK/p4WCG2uzh+U2zuYSy97zbcn7PFQ/ampqJJlMljy++Nipjl9JqLQtH3vsMf0Nven973+/fOxjH9Pj/uiP/kh6enrm6aqXB5ZCv3RjbfbgxtrCYSn0SzfWZg9urC0MxlZ4n1z2nu9YLKa/U6lU4d+Ah1tbW1vyeI4tBsfX1dXJSkalbXnZZZfJb37zG2ltbdVQEvjkJz8p119/vXzrW9+Sv/iLv5jHq1/aWAr90o212YMbawuHpdAv3VibPbixtjCIrfA+uew93zas0dXVNeF1/l6zZs0Zx69du/aMY+kgAwMDGoZayai0LUFbW1thggJMZhs3btSQk0Np4FFZiv3SjbXZgxtr8zOuSmEp9Es31mYPbqwtDNb6+qQdmyupT1ZlfD/++OPynve8R37nd35HSfWXXnqpvPCFL1T+UyaTkcWEPXv2SENDg9xxxx2qw/mJT3xChoaG5JFHHlFtyWLwGjyvI0eOFF6788479Tf3WSn+93//V/78z/9crrnmGtUPfdazniWf+tSnZGRkRBYKtAFtMZO2tPjtb38r9913n3zve9+T8847T574xCfKa1/7Wk1i+X//7//JlVdeKfF4vHA893348GHZuXOnzCfwSCxGHVb/syAM96pXvUouvvjiwrh67nOfq+8PDw/Par+sFIxrwqvXXXedXhsh1vvvv1/fs+OqVP8gMYn+8d3vflf7witf+Uo5evTojMfachpXpRAKhSQcDuvzt+Pqr//6r+Whhx4qOW8t1FhbCuMKkMDl90jiXeN9rr8YpfrlzTffrFrQH/nIR2Z1zZtqXE0FwvX0kWc+85mapPbqV79a+4Z/XcOQ4R4vueQS+ed//me9py9+8YtzPn8stbFZat6aykZAD5wxyf3Zsfk3f/M3ahfN97q2lMfm5d44+8EPflAYm/RJDPHXve51JcfmQuH/+//+v7K57HNGO6Gh3vrWt2qG6p/92Z9pgkEikZBbb71V3ve+98ltt92mA82/K1xIMEm96EUvkg9/+MOaEMFA48Gy67rpppskm81KX1+fNDY2ahiECZDJimPe+c536mL2jne8Q57znOdMugsuBSZqzvc///M/8vu///vyf/7P/5H6+no1RD7/+c/LT37yE50IyapeKvC3JTt/2g5Dm9dpq1WrVukE9O1vf1v+4A/+QP7pn/5J2+HNb36zvOY1r9F+wmt89nnPe95C386iwAte8AIt7ECbkilOYQc4byzI3d3dOq5YBH7xi1+oUT7TflktPvCBD8g3vvENLYiwYcMG+fd//3d5yUteIv/93/+thh/jqbh/0B/+5E/+RILBoPz93/+9eoe4L45hs1bNWFuO46oUp5Q2og1I5sLoZj793Oc+J+l0Wl8vnree9KQnabu7sTZxXFl8/etf17mpFKZbA37+85/Lpz/9aU0Eo/jKbK55U42rLVu2lPwMcwTjitA8105fwQnyh3/4h9o37LrGRhcD/fd+7/fkKU95irz97W/X8+Gdxdif7fljqY7N4nmL5/ChD32opI1A23/hC1/Qe+W4N77xjZocyGv0CaeAMjlsOz772c/WsWnHGYV1UEi5/fbbtU/S5mzgFgu+//3v67iZ9XW2El1C9BjRvvzrv/7rfDqdPuP9//mf/1Hdxu9///v5xQSE7xHFv+qqq1R/8uUvf3n+2LFj+h6/ueZvfvObheN7enryr3rVq/RYhPf//u//Pp9IJCo652c/+1n93h/96EdnvHf33XerluX73ve+/ELg4x//uF7bTNvy7LPPzp9//vn5w4cPT2jLr371q/lrr71W2xnx/D/7sz/LX3rppflLLrlE2/XkyZP5+QbPl2uzz30xgXFFW9LX3vSmN2mhAduWn/vc5/Q3P1/72tdm3C+rAc/rnHPOmaCDizbu9ddfn3/b2942af+gb3DdN998s75n74mfb33rW1WNteU6rvx461vfqn2AdvDPWxT+uOaaawrzV/G8tRBjbTGPKz/e8pa3aJvaf7/gBS8otN9UawDrHe/dcMMN+ZGRkVld8yoZV36gL33eeeflDx06VOgfF154oT73V7ziFXrMz372M72uv/mbv5lwT89+9rP19csvv3zW54+lPDbLtRHs2Lz//vsnjDXa3Y7NxYKFHpuMM7/O92Tj7Prrr9e+Yef/xx9//IzjFgJc2//9v/9Xr+WKK64ozB+zhYqM77/927/VjslFTQaqE/knot7e3vw73/lObeBzzz1XB/0rX/nKCR2Cm+JBTdVxxsbG9MFg1PE9v/M7v6OGiR9f/OIX9XUmpic+8Yl6/PDwcOF9vo9BaEElKzYSPHQmQT7DxMa5/J+hWtPf/d3f6bVz/69+9avz3d3dk7ZBKpXS70SIfzL8y7/8S/6//uu/Cn8PDQ3pxHTjjTfq9T/zmc/Mf/3rX5/wGdrpn/7pn/L/8A//kL/sssu0Q2Cs9ff3F46hsxcL299+++16H/wuNREx8TBxck4MJibyP/zDP8z/5je/yU8FJhqea6kqYD/84Q8LBla55+C6eH5M3hxHO7BYIMZ/77335p///OfrZ3mPalj+z9E2LDh8ngWTxdXe72QT0V133ZX/4z/+Yz2eZ0vfpb9aZLNZbW++mz7H7w9/+MP6fEvhP/7jP3QS6evrK7z2yU9+Us/rv94f//jHhUIC9lnQr1772tcWjNNiw+A5z3mO3j/Hca08dxboqcYV7z3jGc/Qfs0x/JsxbNvBbwyX+rH96PWvf73+XTyuGNf8Pdm4YlHiPcaCHVe0r/1+N65Kw42r2RtXgLVlsnH1mc98prD541rf/va3TzCyS615PJcPfOADhXGFAcYi7d8ETTeuuOcXvvCF+jeVEf1t+cY3vlG/e7I1D6OP+aB4zeM6OY6x+Z3vfKdwPv/Y/N///V99jbHp1jw3Npfy2CyF4rHJmufvc+WueeC9732v3j9jxr95ny1URDv56U9/KldddZW0t7dPeswHP/hBv1dd/vIv/1J1MQnPEIaGA0romTA0oahyQXjvl7/8pbzlLW/R7yEM/4//+I8aCiTERRibUBHvwyc6ePCgXgs8Wv81WUD0/+M//mPlpBFSIPTEdxL2g+zv5wd+9KMflac+9akaxiXshLwQ4Tz+LgXoA4SLn/zkJ096P4QELQhXwfXr7e1V7h7hLEJ0b3vb21S66K/+6q8Kx8IxJBzJNRDCgYMIN/FrX/ta1VQfwm1f/epXNfRJ2xGW/Jd/+RcNX99yyy0lM74B2d2EXuE+8gzoG9u3b9freNrTnlbVOeCA8TwI+RJWJbeANiEsRTuQHGPf53M2O5224NnDvdu8ebOGAeEdEm4+++yzz7h2iidAm+Ka6Y/0UXiRhHMJA/O9//Zv/6bXzPdu2rRJuZj0Ba6FayrVHv/wD/+g4bOnP/3p+hr/tuezRRzoZxRw8IexuA7uiWIP0EzInuc+LIeXcfPiF79YXv/61yt/Fd4c4VtL9yk1rkhcISRKm9DPCY/7OZ/08xtvvFEeeOABDREzlggRUyCBtv7d3/1dHVdQzRgffK9/XNGupZKU/OOK9mAegDPH82T88Jv7cuPKjau5Hle2T3AfpcYV18a4gjYCdQM+L/xfrm2yNY8xxhh5xSteURhX//Ef/6F0FCgjvA9lAeodY4ocB6hZZ511lvzd3/2dfj/rC3kc0DIoNOIH/ZRxRDgeHnLxmke4HkoaPHT/mscauXfvXvm///f/ar8pBt8JLQTQj+CLuzXPjc2lOjZLodTYZDyQb8C9088Zi5OB77fgGUPj495/9rOfyWyjbOObB8XP1q1bz3ivOOGEjshAZbDTwWgs5HkASUF2MqoEEPGf8IQn6IRhv4eOaidF3ifbmIUfjilJKLzPNZfCo48+qh2UB2wbnASKX/3qVzrh+SciJk0GvgXGCry2yWAF4rmeckBiAdfDZAKvF8CJol3peHQCJnHAvTFZwj8DcNTghNLJ4H1WA54TA5uObgHvmOQ/jDo6cSkwebIIYJS9+93v1teQXyIBhQFN4YFKz4FRxwCy93LgwAGdbBngz3/+8/U1BicTwaFDhwqTDJ/DEIXDCJhg4Dn+67/+q04exeA7WSw/+9nPal8FLGr0r29+85vaj+hTJNTYhYw+RX+2bV8MJg6+ExkqJiKu6d5775Vzzz13QqU0npXl4bIIAcYVn+d5YujSHjx/FmjAQshEwLUy2WNEc6x/PPjHFYsa7bRr1y6dnAHPBd4r5+c9zoMxzYJJHwLcN9fCNZM89J//+Z9qIHDf3L9/XPlluSYbVxgNdiGlrTnnZz7zGXnpS1/qxpUbV3M2roo/7x9X9l4BogHkMAEMBeZ/azyUWvMYVxi9PAfbr2kTgHGAMcL4oB3smmf5roxN/zOHv+9f7C2szBpFXEqteayvjC+MFYz8ZzzjGZrQzHMDjFvaFOMJw5kfjA820hbr16/X9c6teW5sLsWxWQp2bLIB9q959B/GJnkgjLfJnm0x5pq/X7bxTYJBKbADhSDvB7tYdgrscli88XyRccuxLPbsYkrpO04FJh4GKrtEkkX4sQaD7XhMbjxgOiDv47mbbGfMQ+GHCZDOzrUxGbALs4PeovhhMeFZYf5SQKVgqjYrBh2eNrOTkAWJCexI2X1yP4CMW/9A4G/OR0evdiJiUALunedDW5BkBKZ7Tuzi6ewMLgYgkzgLARM9Xh4mpErPQRKGBcYb8Jeqtc+HjHQL2oCsegubhMaOuxg8O9oULwF9024eWawYcAxyJiL6HNfNhEs7s7CSmDMVOAYPDsBDza6ZNiCRhPvEQD558qQeN5X8WfG4YuF78MEHC+OK62FxnmxcoXxg+6ofTKw8KzwNLLBMrowbFk8WP/oZ0SprMNhxRZux2PvHFR6WqcYVibckeeG5YSzwmza2E6MbV5PDjauZjaty4TeQrfFoS1uX6meMK8YFxiA/FnivMRpOnDihax79n2fBDwYT38l10iblemt5Xv/1X/9Vcs3jOjG8iJRhQNPG9GuOp11tpIo5BIOEH66RqBV9i8/h1XdrnhubS3FsloIdm8WqJBjxRAWI6rI2TaVOZB3H84GyjW92d+y6mVz8YEFlsFgQVmFAWxACIFTF4k4HYtdWymM2HQhHMQHwfYRl+GHgMgGhYMLun4FPiIqdM2F5m43Me8XgWK7ry1/+sk6a3Ae7VnamxSgOQbGTmkozFq8CKG4rPxiQ7MKYJPGuFIce/YPQP+CKwzZcC89mMg9/OcCoI8TJb+4Vz4m9h3K0cZubm3USsBMBhh3hTUKiGGpcXyXnKOUNmiwM6G8ruwBYEBWBelEM2pPnT4iNn2LYPvCyl71Mvb54BQghcj94kjEorberGCwYLMoYxUzMTKrs2pE2Y/JjguBZYwT772uycYX3hNAcfdx6we3xLMrQRkqNK3vfxf3ZetV4n2u0nnIWEn4IXVtgmEMXQXnBKjr4x1Up6bDiccVExrXTJ+gnfB6vFm3hxtXUcOOq+nFVLqbqg6XWPHvfeNJsO7Pm8Wxs/yMq5fca+4FHkHEFaFeM4GLY11jz8LqXWvMwUvFYYuhDC4P2geENMKToM1YthSgTHlQMrfe+9736GoY5n3NrnhubS3FsloK972JatN240P+4RtbMyWDXvPlARZxvdhTs3Fh0bWdhIJ1//vmFY/w7aDxzUE4Iu7DjsoMI3lrxDoYdix9+vVp7Hng8/LCL4jowBuBTIQUD7GDASIEfTidjQKBjWjyACc0wSTI48A7YnbUN88wEGEKWo8dushTozOzE4HAxkP2ashaEtwAD2QJeXXG78RqhG/9rU7WlHzxLBhycNNoRSgOdHF7bVHI/8NcITeEFIJzjB9wuwm14aQh5shOu5hyVoNSEA3ewVH4Ckws7XLwXNqRbatBzjTw/fghpcb1QJggbssCVKo3Lbp2xwSREiIxdN32PRRQPCf0eD0Cx94v+6jdm7biyGq0YAdb4Zlzxw3388Ic/LDmubB+wtBZ/mwD44vDf/Btn+hvfy8TLPTA2LOWFe//xj3+si7wdV7Qdhrh/wfWPK9oKYwN+oR1XtCnjsRwt42K4ceXGVaXjaqYoXvNsH2Ds2HWPNc++Tt/CaOH+MZBtO7Gg431mvNFO1sjhezEK6Ge2PzGeGFeM0VJrHu1EH4BuAI+VH+YGvI14WFlzMaoJ/9u5A+8mbWzHO04qq+/t1jw3Npfi2CyG7QPF7WLXPMZp8ZpXqp0WZZEdOGG47BlEpUIzLPR0PAsGP7stHpw1EGigX//61xNCVDw4vHh++I1zvteGDgC7RzoHnYhJCaA3bUNyGNLwj/AYcr3FSWH2+9mJMpis4c3gwmtfbuhsMtCB6eRMMqWI+nRQOjUJGnRmxOaZcO1kaYHHg0Hs55ExufnbntAh92gTG6Zry2IwWdNZmbhpD67dngdM1hZ2180kzg631Peym8b7Uu05KgF9BO+s/2++37aLH7QRkyXXxQJqf9jh45m1xRbw0FpPERMalCb6HV6EyQpG8LzgafJcSH6yXi68BvQHjNtSSUl2XE0GFmgL209YnKcaV4B79INrANw/x+HBJnzL/WNowCtHF5jzsWAwrjDw7QbBP674m3udbFzxG64oc4IdV3guivt5uXDjyo2rSseVhW2bSjHZmkc/s+1B/yasT+SJ37Q7m08MDu6fNrHRYDajjCvayhojlktt+xP9mPD/ZGse/RADG81xu+bZtQuvHteLcYqn3A/aiL4Dz9bSPdya58bmUh2bk8GOTQvWL8YmVCrr1Jrsh7E5X6jI880ujjAEJHgeCjtmXmMgMIjYUbDLYMcH7AAiMYHFmDAR4WiqH9rdKZ2CB0MSAD/wnBi8fmI9DcekBeeUB8054dHBKWWCsg+apAU4bfCe6Cwcz+6LsHcxuDa8CHjqeCjswjk/g3wqblu5YCLCqGHjQdY7oRk6Ga/hBcFTgNce0JYMaCZSkirgNtEGeCDhx/qLEkDfwRPCoObfhPjh6jJZA9qSzxL2tLxgaAOTgWQJngG7WyYWftiZ293hZG0BnYDwJ9fMs2WA4l3heHbIPGc8BHg4qj1HpaBfYiwyaRBWpX/RVqWAaggLK88ADxXGKwsdHlmblc8CwWtMuixWLFSE15hc/F6XYvCs4f7hcbKhNpuzwOQMR7MYdlzRv/Fi0VZ4v6yHGN4ci61/XDG5M05KjSsLNqeEnZkcCTNbbxPPo5JxxQJCAhDXA1/TGhqMdRvu5hrxLGCUM65oByZCDAbGFZtg+gTer2rhxpUbV5WMKwueNWsT/bGUEkS5ax55EoD+TY4FhivjkE0lfdJWRCx3zcMgYlzhHSUJD2DkkMxpkyr5m7aib9ixSXtSjIm+So4Gf+Mt5jyseXwvvF3OwQaYjTlRNM4PLYD+69Y8NzaX8ticDBQjY31ineS52H622Io7VVzhkoFP4yJHQ0di98rEA58MbjU7J5sdTuNDuufhsbvngfIaEwqNwe7UJnjhaaPzkKhi5Wv8nYjJjPA1HYPQFJ0N45/ODjgvn+Vh09g0PjtAwuMYFsXgnHgH4MzB2YNji8cPbwQTEsb7TB4W58S4h1NLuBHDh0mOdqKjk8Rg+beEfJicSHRgwmWyZQfmz3a2wJDhuhhwfJ7y04S7LJgUMIKYpGkLBhP8RKTkSgGvP9cJZYG2JOzCAPjSl76kxh4T2WRlVXlOGF48NyYZniE7SyZ+sq1twuBMzlEJmBjhLHMdLDD00cmqxJF4wXXTF62sE4YofdUmG3Gt3A8LAn2E++A67QIyGejT9COuwXLy6Pe8xu9SXD47rjgP3h/aj8/SXwDP2KoR8B1sUuHS0X6lxpUF10A4kEmI89Jf6BuVjivaknFOX2ZB5Rkj4eRvX54x382ixLhiE4FnnkULzxT9kmvlPb8CQCVw48qNq0rGlQXGHou7NfZK5QGVs+YxNgFjAIcTjic2nBiG1ulUyZpnvd4YyBYY+7Svf2xirJHzZMcmRpF9Jtb7yfNnc2DXPIxg1jI2CfQF3qOdmQs4r1vz3Nhc6mNzsg0JfZD7ZGxy7XZsLiYEEPte6ItwKA8MAnagaH46jIOwGQPNeo4cjJQXkxChwHLlv1Yq3LgqDTeuzoQbV/MLNzZLw43NpT82Z5ds4+Dg4ODg4ODg4OAwKZzx7eDg4ODg4ODg4DBPcLQTBwcHBwcHBwcHh3mC83w7ODg4ODg4ODg4zBOc8e3g4ODg4ODg4OAwT3DGt4ODg4ODg4ODg8M8wRnfDg4ODg4ODg4ODou1yM5SBXmludzkuaXBYGDK9x3Kh2vL+WlL3rMlqhcT3FibP7i2XLljbbpxBlz/mD24tly5Y20usGKMbx50X99oyffC4aC0ttbL0FBcMpncvF/bcoJry/lry7a2egmFFt8k5cba/MC15coea1ONM+D6x+zBteXKHmtzAUc7cXBwcHBwcHBwcJgnOOPbwcHBwcHBwcHBYbka35/97GflxS9+8ZTH9Pf3yxve8Aa5/PLL5YorrpB3vetdMjY2Nm/X6OCw0Ehls3LHI6flv289oL/5u1K4sebgMD3i6bR8+xePy0e/eo/+5u9K4caag8PUyORy8ujRfrlrX5c8fLBX/17JmFfO95e//GX52Mc+JpdddtmUx7361a/WSemLX/yiDA0Nydve9jaJx+PywQ9+cN6u1cFhIZDL5+W7vzwkP73nqIwkzOQE+621ISzPuHq73HDpxrK+x401B4fp8W/feUB+80jPhNcYf088f738ydP3lPUdbqw5OEyNu/aflq/+aJ8MjJo1LRwS2bqmTp5x9U65aNcqWYmYF+O7s7NT/v7v/17uuOMO2bp165TH3nvvvXLnnXfKD37wA9mxY4e+9u53v1te9rKXyetf/3pZs2bNfFyyg8O842TPqPx//7tP9h8bnPA6OeF9Ixn56k8f1b+nMsDdWHNwKG+T+8qP3CKpzJmKC+SA3XL/Sf33VAa4G2sODtPj099+UO7a3z3htUxW5MDJuHzqvx+QVz7nghVpgM8L7eThhx+WSCQi3/nOd+TCCy+c8ti7775bOjo6ChMUIESH9Mw999wzD1fr4DA7i3vPwJgc7xrR3/w91XH37O+S/yxhePuRzYl845YDU1JQ3FhzcJgabHJf+ZGflzS8/fjFAyenpKC4sebgMDW+ecuBMwzvYiP8X7/70IqkoMyL5/uGG27Qn3KAN2HdunUTXotGo9LS0iKnTp2ascRNKYRCwQm/HaqHa0uREz2jcs++LjnVOyqpTE6i4aCsa6+XS/eslg2r6gvHHesekV/ed1IePzEgR7tGJJGafgJKpHNyz77Tcu2Fm0q+78bayoFry+rG5n/+7yOSykx/LDLE/3v7EXnBk89atGNtsnEGXP+YPbi2rByJTEa+f/vR6Y9L5WTv4W65+KyJ42O5Y9HpfMOJY1IqRk1NjSSTyaq/F+F2tCWnQlNTbdXf7zARK7Utj3UOy633n5Kh0ZR0tNZJTTQsyVRGTvaNycj9p+TZ126XTWsa5c5HTsvXfrRfTveOyshYWiZxjJfErx/qlGdfXx4fdSq4sbY84NqyfF3sz/9grzx6bLjszxw8OTJtX16osVbOOAOuf8weXFuWj999w81lH/uD24/LDVfulJWERWd8x2IxSaVSZ7zOBFVXVzejiRdR91JgN8ugGhoakyyxfYeqsZLbEgrJz+48Ir39cVm/qk4C+bykkmlNmOxoisrJnrj8/K4jcuGuVfLlH+yV0/1xGUtklNNdCQ6fHJL+/lFt55l4YtxYW9pwbVnZ2Pz+rw/Jrb89UdHnApJbtGNtqnEGXP+YPbi2rAx/9r6fVHT84EhKxxmY6VhbKlh0xvfatWvlJz+Z+OCYtAYGBmT16tUz+u7pKlMxqFz1qtnBSmzL0/2jsvdwn4SDAekZSEhrU40EfWVyWxqi6hnv7ItL92BcEsnKDW8QT85O27qxtjzg2nJ6jvfP7zsuP727MsMbXHHOmkU91sq5Ntc/Zg+uLafHaz72M81PqgTr2+tWXLsuuu0FGqinT5+WI0eOFF4jSxxceumlC3hlDg6T477HeuRz390rjx0fkL1H++W3j3XL7Q93yum+uBrY8URGkqmsDAwn5cjpYRkdyyintBpU+bEz4Maaw0owvH905xH55f2VG97ginPWzsp1uLHmsBLw2o/fKsOJyj/3omfulpWGBTe+s9msdHd3SyJhnhhZ45dccom87nWvkwceeEBuv/12ecc73iHPec5znByTw7wokFT6eQzvr99yQLoHxiQcCkptTVgioaAMx1Py4MFeuffRbtl3tF9/SPjCIKjW8AaxSHWfc2PNYSWB8XnLfSfkzr1dkqy8bo484fzVEg2Fqjq3G2sOKw0f/PJdMhSvvBjchlUxaYnFZKVhwY1vMr2f+MQnqv4pQHrpk5/8pGzcuFH+9E//VF772tfKk570JHnnO9+50JfqsISBwfuD3xyRb992UL7zq0P6m795fSafP9o1LD+555iMJTOypiUmtbGwZHN5CYUCUhMJqbcbmkk+nxdloARE0tmZ+a7XtFWXAObGmsNKAhSw2x8+rQpB1eB3n7C96nO7seawknDnvlOyv4JEZj/e9edXy0pEII9VsEK4Wn19o5PKNZE1DuF/pfGOZhuLsS0xnH9y9zFVFWltrDFGcTor/cNJaaiNyFMu2yTrfRKAk31+aDSpCgMkOqWzOUlnchKQgJzqi0tTXURiNWH93oHhlP5OpbMFDzdyg6FgQBLpbEXKJqVw0+Ub5IU37pa2tvpFmZjixtr8wLXl5EA3+HPffUju3DuxemW52LG+Qd764ssLORuLcaxNNc6A6x+zB9eWU4+1v/jHW6r67Lv+/HLZ1NE44bXFONZWRMKlg8Nsh55/+2i3Gt7r2uvUAwWghsSiITnVG5d7H+uWte11E5Ijiz9PomTfSFK/J5vNK+86EgxIIBiQTDYvjXWGC4IxzmfwePtt7Hw+J4nU7PC1r7lgZemhOjhUguPdI/K1nz4mjxzur/o7nvmEbSXnAwcHh4mo1vD+P0/deYbhvZLgjG+HZY2+wYQWu8HjbQ1vC/7mdTzbHLeq5UwNV17/7WNdcqJrVI1swP+DAXb8eZUTJLO7qz+uXvR40ni8OYazWWM7XTkVriQiQTjfbtg6OBSDTe8vHzgl3/7FQRkcPVPWr1ysa6uVC7avvHLXDg6V4hX/+LOqPnfVuWvk6VduXdFRBLeKOyyrxRdjOZHKqle7rTmm/4YeAtWkFKKRkKSHk3pcKRw6PSQnuuPG0A7gwTaGtznfuHWdTOclmZ644M8FnysSCUqqjEqYDg4rCWygb7n3uNz24ClJznB8/MVzznVebweHafDGT9wqySqG2tY1tfK2l15V0PVeqXDG9wpFKUN1KS84LL7QQ/ByY2xHvJLu29Y16r/hYEM1KQZeat6nDUq1EWXiM9mcGtwY3jQRPwtVZyEYLH2tDg4rFYz9H999TB54vGfGhvclu9ply+qmWbs2B4fliNf8860yPFZ5OLe9PiTvfvkT5uSalhqc8b0CMZmheslZHVMmHi5WTJZQebRzWHqHElJfG9HkSoxWP/WEXGNe37K2UTcfxWBzMjCaMvSRvOfp1g/KgqG53myUHBwcxnMyDlH1dbh6qgmoCYm88vkXLOj4dnBY7HjrZ35VleEdCoh86FXXzck1LUU443uFYSpDtW8oMa3yx1JMqOQ+62Phwr+hmqR8aicX7+oo6fUnKsCrqJTMVB5wtnD25rYlHaFwcJhNsEE+cGJATvdPXma9XPzZ752vut4rmYfq4DAVfnj7IekcSFb12X97yw2zfj1LGc74XkGYqfLHUk2o5H6vOW+dHDo1ZLz9w0n19uPxxvCebLNBm7Q01qhmN8mWi8H8XtvesNCX4OCwaDCSTGvF2FSVWt4Wa9tq5bKzqWa5GEa5g8PiQyqbla/fcqiqz37uLU+e9etZ6nDG9wrCTJU/FhPX3H4PC6/14lPCHX62VpmMhdVrbRMqm+uj8oyrt0x67lLXxU9LQ41+XyaYU9rJTCpTzhRcKRsjBwcHE8X77i9RNqmifGUR2ptiWigrGnP5FA4OpfBXH7q1qs+992VXLhln3nzCGd8rCDNV/lgsXHP/92B4H+sakePdo1rIhiI40ESgk/Dd4VCgkFDJBIBBbY1sfvP36d74pNd11sYW+e3+bjXAx1KZGSd0zQSBID9uEnNwYA746k/2y8OHB2b8XfWxkMRqQl5CtvN8OzgU46UfqE5S8O0vuXRJ0VjnE874XkHAAK1W+WOxcM2LvycSCsrhU0PqteLa25pianDznQMjSWmsi8p529vUyC5l/JOMOTiS0uTLUtd16e4OWd9RLyPxtCRSGYknUtI/kpGFAJsHrsPBYaWCCFXP4Jj8v589OiuGN6iNhGXbuibpaKmVwcGZc8cdHJYT/rxKw/uJ56+R7WubZ/16lguc8b2CgAGKRxfDslLlj8XANS/+HnDgxKBkVYOb0u056ewfU+M7kDdFcDBWN69tkAcO9KoUmd/4x5h+5HCf8kXP29ZW2JD4r+vgqSHZtrZRz7OquUYSqZiMJvollVkAD1k+L/mF5L04OCwg7Ob5t492yeHTI7P2vVvWN8qle9Zo1MzBwWEcf/GPP6sqFrR9XYO89JnnzsEVLR8443sFAcMWKgUe3UqVP8oFBnJnX1w6u0e0/LqlecwG17z4e7r749LVP6bvYSwrrSZLxcm8Uk8womsiQensHZODJw5JXU1Ytq9vmnAN/Is1t7M/Lo31Uf3bf11ImNEu3QMJOZbKqORgeiEMb70mkY7WueHiOzgsZtiIFxSz2TS8z9/WIs+9dodscKFxB4cJePXHfi7VCP+01AXl7X96xVxc0rKCM75XGKB2QPEo0C/KVP4od4G870CP9A4nZSSeknAwoJ52vnM2uOa8n8rkJJvNy+BIUnneqJDU1QTVWE5nc2p4W9oM9wVXG04n14ZB7gefxZGMDOHQaEqNe/sZEjYt/aSlMSZtTTXS1Z/TstUL5XsOhYKSnqGqg4PDUkMml5PbHjgpRzqH5MgsG96v+YOLXTKYg0MR/vn/3SMjiepWun969fWzfj3LEc74XoHAGIbiUa7qSDkKJdYzNZrIyPrVDdIYCysPG+P1RPeIqpDMlGuO4Yun+3jXsBrzUEhyubykswGlmmCUY2BjzDNtpFJZTcIMBDCoA3o98URaDXUM73Qmq17vZCanxjfUEpuwyfVwz2OprOTzY5JI5fQeAguYkBWmumXMDVmHlYPj3SM6r9yzv1vnltnCBdtb5LV/cMmsfZ+Dw3LBHXtPyf2HBqv67Bf+1ml5lwu3kq9QYDyXIydYjkKJn4u9oaNe6mIRGRtLFbjTfAef7RtOyPpofVlc82KDP5HOyt37Ok3S41hGUN22nmsW5VgkpJ+xiidwoxPZnF5DfW1Yrxu1koMnhwsecgzpkbGMxJMs6nlprIuoF5z7gDrD98eiJKjm9PxaXl4WDuiNu9LyDisF9z3WI9/91SHpGhibVcM7HBZ54VN3z9r3OTgsp83uZ2/eW9VnP/MmV72yEjjj22HGCiXTcbpRIGEBjYRCZXHNOe89j3bJkVPDej6OTaYymhgJJSSH6Z3Pq9eaH3hpeKgpX6vv5/L63Xiw17TW6WaA7x4dy0goGNTzhXJsBtIy7FMP6e4fk95gQg3zrMfuGPNJCy50cJoNhFNCc1gpRsB3fz37hjfY0tEombQbSA4OfuC8esfn76zqs3/01J1aHdahfDjj22HGCiXl6IcjCXj5ntVyomd0Sq45hvfNvzykx+VyxvDNeqoleLQ5/+qWmHqsMZx5Lxgw1Sd5X431PPSToHr2O1piks8ZzzXGOMY69BPkBZOZcY45d6fJJVOoiSz0co3G+FxpsDs4LCRspIso1FgiLb944JTOE9C9ZhMbO+pkdVudiyA5OBThZR/8eVWfe9IFa+Upl26e9etZ7nDGt0NJVKJQ4tcPD+OdnYTTvWl1g1y4a9WUVSZvve+EloHnayKRkATEGNSZbFZyaVEDurUxKu2RsNRGQzIwmlIDHE94TTQs4YCo4gnKJZyP85zui+s5Nq9pVI3g/mG82+PXZ/niGOaLWckvkYYi43S+HZYXLLXtwIkBHatKBZtlbzeorwlKU12NbvRnW07VwWElFtG5anebvOQZ58z69awEOON7hWOyZMpKqmFShMbqh9cVJQQWc7r9XPPic2fyOdl3dMAkUcLlTpriN3Ct8U1zPJzvTCYvkUhA6mojauzjxYbPjeW8qr1OVUEw9kmuTGeCSj3xJ1sqfSOTU+m+bNaoniwF0A5Qbxwclhu17XjXiFJMGKPVyJtNh0bN+whJU310xnKqDg7LCW/4eHUe747mqPzFcy+a9etZKXDG9wrGVMmUlVTD9OuHn+yJy7rVQZPwmMxMqh/uPzfygRyPcd07OGaKXeRJjArqZ/BGcz5MZAzlVCYrkYjxsEfDIb0GFtXmhhp5xpWbZfvGZhkYSk4w6j/97QFJprKq9Q2VBiMcI99vdhsjf/EiQvGgBWeeOzjMLrWtqz8upwfimpMxF2OQmYLxDn3uGVdvceWuHRw8fO67D0h/vLpB98FXPHHWr2clwRnfKxTTJVPecOnGiqphWv1wq/M9Gk8pRaSUfrj/3Hij0ARHRnA4npJ4Em62qMFuK87xiw1AOp5WQxyJwHw+ItlsThMtbZn4XRubZeemljO8648d7Zc01JUcCikonSAbaCYczrDIbe4CYjURWdPmiuw4LA/0DIzJwZODJqlyjgxvEI0GZfv6ZnneddtlY0fD3JzEwWGJ4Vu3Pi6/frinqs86ScGZwxnfKxDlJFPef6BHLoKfXUE1TAzsjWsaJCNB6eweLlS49B/jPzffAb8bzzceaYzs0cSY8rEJP9fFoiqvB/gdDQe0uiQGuohJ2EQakOta3VKr12MXdbzeGPQs7o+fHJShMSgoOaWowBG3WCqGN1jbVluWPKSDw2IHG/Cf/fa4HDg+qGomczkO17bVO8PbwcGHRCYj3/vNkao++7m3PHnWr2clwhnfKxDlJlNeefaaiqthYmjDsY4G8pIpQd60525prFGeJ4Z3Y21EXdCRXEi93hjf/JBgWBcMq7cbLzdc7vrakJy9uVUXbAx5pAXbm2Jy4c52/fsHvzmi3z8UT0nPQEKN9ub6qHf2vFJNlip2bmh2XFWHJYdSmv3odx89PaxjfC5HJBv2P3n6Wc7wdnDw4ZUf/kVVn3vXn1/u1qBZgjO+VyAqSabcuLqhomqY5Z47l6XATVoVSyyNGZoJ18Qxqt+dyUkywL8DuikgaQqD/9lP3CbdAwlDcRkck9N9o3L018OqkEChHI6hSA70FBIqT8RTKjfIKh/0jHulleeXjuc7HBLlumPIuMnPYanmlaAsxNglolYTZbNtqs3OFVa31kpDjd18Ozg4/OU/Vqds8sIbd8imjsZZv56VCmd8r0BUkkxZSTXMSs6Nni/0D7zZFmiBY/jDzY5FgpJImw0Ci3RzfURCoZDs2NCs3vJ79ndJt0cvQQFlYCSl1z0wHFJaDJQTa6KqBGIooFx1gO3Kv7gOvmspAFrOwHBSN0GOeuKwFPNKqD6LlOCxrhHdcKPPn5qjYjcBj6ZFFM5p4zs4GLzqoz+TagSzLtzeJDddvmUuLmnFwhnfKxB4ritJppyLcz96bEC9z9BJrDa4qVoZkJpwUMLBgDTVhjVRCoMcKcHG2qhcuHOVlp3G8GZRx+C2n+V7kBRUz3lIJBLEuM56NBbKyRvPtznehMOjYTzKsqhBO1EdFK67MyQclmJeCb8xulE2wQOOyd07R7KZzB0drbWyda3x0rmCOg4OIm/85C0ymqz8cw01Iq/5g8vm4pJWNM6siOKw7GGlAUl4JJkSgxXjlN/8XSqZcrbP3d4cE8xhFmV42CRYnu4bUy813nDKumNXw+3m2raubVL+eSwSkpM9I2qE8h7HD8XT+jdSgkSw8ZzjURtNZvU7LNTHljeFesjjNBUvFz+FA89/PpBXj70zJByWWl4JY/zgySHpGUyoOtFcU7045+5NLWrkz2VBHSrwfvzjH5drr71WLrroInn5y18ux44dm/T43t5eecMb3iBXXXWVXHnllfK6171OOjs75+TaHBz8eNVHfy59I5VvdmMRkY+/zimbLFnj201Siw9WGpCqjyyOcKT5jceb1+dSC5fvfuplm+Tcra3qde/qH5PeoaSgut1UFzG88qYa5WtCi7nmvLXy9KuMPq81uiktn0xltOgMXHEM6XKkyjiGapZYskgOJuYo7D1biEWDEuJas1KWIeHGmsNigM3tgGrChp4xCz2MDfJ8bFaRLZ1LJwL41Kc+JV/5ylfkPe95j3zta1/Tsfeyl71MUqlUyeNf+9rXysmTJ+Xf//3f9Yd///Vf//WcXJuDg8UbP3mbjCYrX+cISH/qDc7wXtLGt5ukFicw5ig68dxrt8uzn7BNf1sjdz7O/YIbdsqzrtmqBXLCwaDU14TUK4bBzaZg9+YWPfbw6eHC55QmI3jEjcecYjsqB+7xuKcDe3+Ow5ueWQIMDug06VxeWhuics1566Y1JNxYc1gMsLkd5F6gPITO/liShOG5PS8GA3MDtJO5dCIwnr7whS/Iq1/9arn++utlz5498tGPflROnz4tP/rRj844fmhoSO68807dDJ999tlyzjnnyF/8xV/Igw8+KAMDA3NyjQ4OH//GvdI3kq7qs//6Zmd4L2nj201SC8e5RO8aOT9+83cp2GRKVE34PV80jOPdI/LNWx6XXz14Sr3YSAImM6YIDpUx4YeiAcwCTuIWYWyA5xeZQrxqGNzWE47+93JEOpuX9saoPPuJ0+sUu7HmsFhgcztO9sY1UXh4LD1BX3+uuN4bqDXQ0SBXnbt2Tp0I+/btk9HRUbn66qsLrzU1NekYuuuuu844PhaLSX19vfz3f/+3jIyM6M/NN98s27Zt0885OMw27tp3Wu470F/VZ//1zdfP+vU4zHPC5XST1LOe9axJJ6krrrhCX3OT1OyVjV8MpZVJmETnF68YiCfTWl4+EAwop7u+KaI0Et6HC95UX1NINGRzcP72drljb6d60tgqVJu2tRSqW6IAs2NDi1JwpoMbaw6LQcfbSpFiBN/2wEl9fa493ogmwfVe721Q68iknkOwoQXr1q2b8Prq1asL7/kRjUblAx/4gLzjHe+Qyy67TOl2HPulL31JgjYLvArYZPVSsEpSfkUph+qw1Noyk8vJp//7kao++5o/uFBiczh+llpbLlnje7FMUlNNVIulM7CI9foWMZISK/VEn+gZlZ/+9riMxNPKm7Zl4/Ek948k5aYrNqt3aK6uvw+Zv0RWsumMtDREz7h+PN7f+/Vh6R9NSUMsLCNjqYLXOpjPSyKflaHRlBqbbBrwmg0FUlJbGy48v63rm1T5ZCCbVP52tev6Yja8A5bvHTYVR3mm0z07N9ZWFhZDWzLf3LOvSzf6KY/jrRv93R2y71i/avXPteEN7Wx9e73s2tSiUbSt6xpldXtdRXNnpW05NjZWGEN+1NTUyODgYEn62N69e+Xiiy9WGlg2m9Wo1Ctf+Ur56le/Kg0NlRcBIteltXX6ubypyUmTzhaWSlv+7hturupzL3/OufKUK7fKfKBpibTlkjW+F8MkVe5EtZCd4VjnsPzmwZOm6mM6J9FIUKkgV5+/XjatKU/YHg70j+85rvSNHZtaChKC3HVrc60c7RyRvUcH5JwdHdoe8339XN+3f3lIS72j2z00Ssn3vMr/5T33NaFpQtRNDTWaMBUMh3RBbG6uKzy/RFaksT6qCZNsMqBmLDdAw6F6J1KMqWxO+kdS0z47N9ZWJhaqLRnzt95/SjfLUNaQ9CRSdfD0sOZpHDg+oIWv5hKMhM1rGmTr+hZJZHKyqrVOnnz5Fmlva5jTtiRqZKle9t8gmUxKbe2Z3/HDH/5QN7U///nPC+PqM5/5jDz5yU+Wb3zjG/KSl7yk4mtlPh0aik/6PvMm9zM0NKbziEP1WEpt+ZL3/qSqzz396k1y7XnrpL9/VBayLZuaaleEc2bOje/FMElNN1Et9MDCe/SjO48WvNWNsah6q/cd6pPjncNle6vRvj54fEDLtScSZyZZNMRC8vixfjlwpFc6ZrFQi//621ti0tFaJ0MjiTOun+s7dGJQSKvk2GQ6Y6pX8l+Q0u+mAA7e7L7BMRlLwAUPSjQUkM7uYYl547G7d0TqY2EZS4RkOF86kXCpA8OYrlhfG5FMJisj8ZQcONo34dkVT1JurK0sLGRbEuX62Z1HpLc/Lo11YXnsaL+OaTbPOa9WQHKOdLz9qIuFZZCN6aFeuWjXKnnSheukIRqs2ICo1CCw0aWuri7ZvHlz4XX+3r179xmfv/vuu5XO5d/QNjc362tHjhyRakFkYTpwP+Uc5yBLvi3f8IlbqqJhnr+1UV5w3a55vbfsIm/LJW98L5ZJCkz3oBeiM7BQ3fVIpwyPprQYhfVWQxehQhuUg7v3dkrHVVumDaOOqvxeVlobatQAwoBDu5vyzVR4pFgN73Mcx8zF9bNAhTzudvH1c15tY4wzj++d977D3pkNUVMBk39GwyHpzWTll/eflMAF65WzHgkGNLnKVqpcjmAjgoO72XuWbESG46Epn50baysTC9GWJHGf6B7ReWX/0cFCFVnkP5Es9evrzxWgpe5c3ywtjVGlu7Eh72iOzagtym1LkpkZN3fccUdhrJHA/Mgjj8iLXvSiM45fu3atfP/739eNMJEoEI/H5fjx4/LsZz+76ut1cLD44JfulP7Ryvt+OCDyuhdePifX5DA55ty375+kLOwkdfnll5ecpFj4maQs7CS1dev8cJEWqhiFv9Ik4G9e96t9lFs2Hp3bx44Pyr6jA7L/2ID5fXRA0tnctIVaylVKqfT6OS+UBKpV4iHDuIRaoUmT+YmGNKekpDr0lZaGGukZHJMf33VUHj7UJ0c6h6VnIKEh7RlSkxctuC+eJZrFUFB4btMV2XFjzWE+wHzAmKc2wCOH+3RsDseT0tk/Jv0j82N4g7pYRCUF2aCubavTjX458+RsAGoXRvaHP/xh+elPf6rJzmjkM6ZuuukmpXB1d3dLImGu5znPeU5B2pNj+Xn961+vhvjznve8eblmh+WLL3z/Ydl/fKSqz/7rW5yk4LL0fPsnqba2NtmwYYN86EMfmjBJ9fX1SWNjo4bKmaQ+//nP6yT1mte8Rr/jYx/72LKdpGwxCjzdpYC3Oj2cLFlWvFhloKWpRpOd9hMC1tLrOYnVhKQ2FJBMJi+9Qwn9TGKK1bFSpZRyr5/va2yIqsGsNBPoJXmRYM6UmvbD2tPoA7c1xmTT6kb14j96fEAOnhpSw310LK0eqqWg1V2tygkGN88wy31m8tMW2XFjzWGuYeeH+w50K6+bTfNCqAZxzobaqNTGwtPOk3MFJD0zmYy8/e1vVyObDS7jKRKJ6Ab2xhtvlPe///06lkhkRn+f8finf/qnmtBMkjOvMR4dHKrF3fs75ZcPVlcY7Qt/6wzvZWt8AzdJleetprhMMVLprL5f7PGczEiGW33vo90q00dhFpu0h8FN9UjOcf+BHjXkimksfOdP7j6mhjsea6uUcrRzWPqGEiWLVkx3/XwOj9jP7z2hyVjww0muJEQNt5t9AAv3hAXc84jzw/ejZ3Lo1JAaoGnJqcecwjzdA4myqlpizHPYUqKowJfluXb2jeqFtzfFyiqy48aaw1zBzg9dA2PS3T9WGHv5BYoMbeyoL9DVJpsn5xKhUEje9KY36U8xNm7cKPv375/w2o4dOzSnwsFhNiUFP/Xth6v6rNPyXlgE8rgUVwAwQPswZCaRRUOdgSSdheB8/+A3R9TA9XO+AY+GUCol36k8CfB0H+0akbv2dmpBmramWMFIJsnJ6mNjuPEaXmJea6yLyNq2ejV6Ma6pZolCQTXX4TcAiz8H57u2NipjYymVCXzoUJ9qeNPGQ/GkJJLG061FKeFs4/0OGmOb72WTEIsEpb2pVqtXsqiiOYrHvL42LAMjKf0siYine0clMQdJXfa6FhrcZzgc0Pv/vSdskxsu3Tjh/ba2+kWZFb5Yx9pyw3y2pR3nRzqHpH8oqcVzQgGRsXnQ8C41LtavqpNLdq82m/Yp5qfZasvFONamGmfAjbXZw2Jty5d+4GdVfe4Vzz1HLt+9VhYCS3GsLVnPt8PkYKGA0oGHmAUEjzMh1JRnTCO3d/GuDjndGy94ujF0KTDT0RpTDzAeZ37w+jx+ckj53hfuXKWUBQx0DFvCsyxJGOOlwrOVcLf9Rnvx9UOLSOVE+gfj8ujRARkdywjmNoMMg9au0+qJxvAOGG4zGwQ84vxuro+qAUyyqKW1YGyTeGg95njRSdyccJ2z5IULFPHPF07nOySb1zVKOGB48hhA81WB1MGh1PxQGw3L8cSojlsw34Y3aKiLyOY1jTofFM+Tbnw4rBRUa3hfdtaqBTO8HcbhjO9FAKgcUDoKNJLhpBqkeHJYUIClg9iwakNtWIZG0pJIDsl2is7UYbAGpK2xRrr646omgle8GJOFZ2fCPbfXf+t9J2Tfkf6C0QwvW5dCT5UkX8JQxgAPBQJKq0DhJJzOqnIBmwRrrKNsglFu9LxZcHMFFRc/JrMD7HJcrp2wkH4NvIkYNBQrOXtrq5y1pU1lF0ttfBwc5ho2r+TI6WGdf5oborqhZ65YCH39C3e0yerWOr0WEj798+RiqN7r4DAf+Jt/qs7wvuKsFvmr510w69fjUDmc8b1IwMKxtr3ujDLNgHAviw20Diq4YZxRPrkmil52Rk71xdXzg/GNJxxDuW8oeYYXm/AsXiIWq+LEvam42yyxgyNJXXDxOE/mgcWwb6mvke0bmuXA0X6Vx+Nakc0DNpKEjK6f503omu8NBKCZ5IVIlGqgBPLK12aRP9U3JjWRoOr6ooCSqEDem0tdCA9dpcCbqJuNUEBWtcRU8x2wIerL5OY1mczBwZ9XwvyD+tGxTpERok4LYHhftLNdXvm883XuKVXO3sFhJeCtn/mFxKsob1FfI/JXz7tkLi7JoQo443sRgQWk2LOJ1J+fDgKFBC8wfD+4U6iZUNwCTzDSWxjIFGEhPDwVjaV4sWIBI2ETSgsLmjXaMfZP9oxocmNtTUhuue+EPHp8cIL6CcY4i/RoIiPb1jdKLhCUbD4vkbDhok9EQIIBCnGMe6L5tynOkdXkyrpoULncOS8Z05+EmEyn1EitxJheDPztcqB7EzTMQ2yCcrL/yIB0DfDMwvOeTOawslGcfI36Dt5vxjhjdb7R0RKT51+/U8KetqiLADmsRLz1M7+SzoHKq8aymn/idU7ZZDHBGd+LHMV0ELjbGNAkVTZiiIcCkkjl1RNlPds7NzQr5/u+x3pK0lgwmotlCjG+i7nn0DsOnBjQBZdj1rXVqWF45PTQBPUTvgcDnWOGPM88Bi8a1Wd6aw2dRHxJl2wmOP+xLsMlpeSOfU+5pRjnvvW+0rV/idjeksmLykLi8cbDT4RAn0dPRi7auWpKmUEHh3JRauwXJ1GzmbbRNgbisa4RjTiNJuZ/NDH1/fFTz3K0EocVjc9/90HpHEhW91knKbjo4IzvRY5iOghLJB5qPN3DY2mJhPAki/IwMZqtZ5uFyhrGxYvsVFreKGr86sFT+l1wKjkPiy4G8wkUDoIBVR3hO+99rFupMizMKLAY5QGRQDCon6vRRErkkMy9FFdtZr3Hw07hHYB3Dc4695XKZPW+gqHgosounyuONw49ng1V+sxGy+w6VogYkcM8oRwd/+Lka5SGNN8kEjpjDM81IuGAXLZ7tZy3vX1+T+zgsIhw6PSg/Orh7qo+6yQFFyec8b3IUYoOgmzg9vXNE+ggGN/FiUelaCz+cHJLQ1T52CQ6PnZ8QM/R0lgjI/GUlomGh61Jj3DMY2HlIuNhJ9ETj/uBE4Oy93Cf3LWvSxLJrNIjYvDFAwEZGE7IaCIlAaLEkyzYxq5ECjEoA8MpyeZI4jKefuQJeRvDeynwtasF7VgTCirvHcO7oa5GUpmcZFOmXHd7c6001ob1ebmES4eZoFwd/+JoG3MLydOoKM0n2HxvW9ckz7x6q+N0O6xYEIl6zxfvqeqzr3zeuQWqlsPigjO+l6gUIYYZklutjTG5fM9q2bS6YdrEI384GQ/58W6TSKV861xeF1dev2BHu/K1j3WPqKxfKBvQz5IQiSeKc8MF7+6Py72P9ajBDCcTygmmoeWE8p3TrZnqkW+KqbHPuQZHuJ7sOM2kSsN7IaruVQNto7DJtKRdUa5JprJG37wmLOtXN0p8LCWnekZdwqVD1SimkticDitRytxiI1k22pZIGW7p4dND0j8yv4Y30bb2xqj8zuWbHd3EYUXjZR/8eVWfe+L5q+Wys9bM+vU4zA6c8b2EpQi3rm2aksNdbIjbcDKfpWKkv/w8HnSM5pFERr1cVDvMe5J3+vpYWv/Nos0P/4YeAjVl3ap6iYYN37t/xMgEcubaaEjiSY8+Av3EZzta5RO+CwMUzzoeeDxu3ppfNZaK4c11sk9h46HiLoGAHDw5qM/QJNcGZDCeksbaiEu4dJgRKtHxb2mqUSrY/Qd6JZfPSd/Q/Bne9HlkU7etbVQDHKeCg8NKxV9+qDpJwc2rauSlzzxv1q/HYfbgjO8lKkUYjQbVwsSAfvhQrxw8NaSFeCbjcYKE51HFkOZzDXVhXXj5DAYzlSUT6byc7huTTWsaVF8b45AkS1OwBwUT46WFGgFHm4qUxzqNCgIUEYrBEMom1GWTKTmPGude5U0MTTYGfB+fgx9uDHTzmZkaz0vB8LZgg0OiJZuToXhKow9EHTC0w6Gw9Goy66hc7BIuHWaAcnX8yd/40d3HVK+fpO75lBRsqovIulV1sq6tXueoDR0mmufgsBLxjs/9Ss4QCysDrfVheefLnjAXl+Qwi3DG9xKC5XBjjN3xSKccOTWsBu3AaEq9RFvWNMnatrqSPE6AQYcxzaKqyZueBwzPsyb2BYMSDhkDGgoI0oXwvtOZrBqJWtgmE5R0NqdGdV1NWDcDWMzwveGLRxNB6R4Y0++Fy418IIa7NfCtEgpVL/1Sg8pU8QTB62pCksvhASd703DGl2PKpd+sIZmNNqBd+SHkT7vV1ZokWweHmWAqHX/AppxxfefeTqWboa3PvDBf2LWxSTZ2NGpEbGDE0N9cxUqHlYqPf+NeOd5TubJJU21APvKqJ83JNTnMLpzxvcSA4X3zLw/JiZ5RyWapIpnRRVMlAPNDEou2akImi+3J3lH55QMn5apz16qhTDgZfjWUE6gMFoSYWeIwkGM1xvuMhriRG8xKKpuRdDqnXliOhSICpaR3KKEGOcY0BnoomCokaOIRz0Of8M5REwlLPs+1mq18cbVLfyEcDISmuqhEwnkZS6VlhiyUWcVMvPKTleSORQJ6vyobSXuncyq2SKIbZ9y1qdklXDrMeuI2G27GL+OesYyxTdIzSCSNZOh8gHFBwnVzPVEfV7HSYWXjC997SO470F/x52JhkY+95slzck0Osw9nfC8hwOumhDvGM9xIqBzxQFZDyXiV4VujwX3u9nYZGcvogkZhDAx1PEksvps6GuShg73q/ea1kEe+NiztnBbnYWFGwpBqmce6hjX0zPms8Tg4kpJ+38LMy5mxjCqb4KlSrW7v/WAooBQVPOosrJI8M47miZ4UgM1JghcyfKFwQEJ5FFEMTcUaBMUG+3xhRnQYj17Cfdm/aedVLXX6/NjU8KP36UUJOJ5qpgMjSZdw6TBriduMRf7NPEC/YnxpXkEkKJ19Y/NaSIdzEwd74vlrZf2q6RPHHRyWK755ywH55UNdFX8OMtmn3ui0vJcSnAbNEkLP4JjsOzqgxi2e0qC3aKlcXSSkBmnPYEK6+8c0cW80QeJkQFobatTQxut16NSgKmqEveqTyAri/Wquj6rUnS2oE4mE1NONmRsygtwmCVPGDWCAIWm9wTjNoKvkfQVyop6lyTn4mQyllnroppSbxxhXCopndNvjl5oEIZfLvdgfY1wHZcOq+sLmQjc+4aAWKEJCkmPiybRLuHSYtcRt6GEHTw5JZ7+hh61tq5WNHQ26qT7cOTqvhjebz3DY9v2gRnac4e2wEnGka0i+f/vRqj772bc4j/dSg/N8zwDlKIzMJjp746pE0lwfMUmLSheh1DwLlzHCKU5zHInAXF692FBS4IP7JcWgk+zc0KTqBzYJE9oIHmq+k+850TUig6NJNeoxAhtiEUllc9LVH59wTaXysTAUuR7xjMuQ5PQaSeC0peWng7aiz4MO1KgPejTwZUACN2onxBzypmrpSEojDJaLj0HCBgbKya6NLS75zGHGIGkbWlpHS61utulq9bURlQ5lMz6foG/T12vCIS+qtsR20w4OswTWgXd94e6qPvv2l1zqNqxLEM74nsNKcbOPgI8iggGak4wmJsIRNkXZGcRaRKMhqoZ1c2O0kGBlJcV4f317vRbJYdFFtYTrx+tUEwlKU12NbFvXqIsx6hsM7OFEWkbj6QlygaWghXHYDJA4GQtrIR82AlwLyaAU8xlL5criUCsjBjUQBFI8D7udYlisl5rnW3zXjqfbyC/m5LHjg1rBj8jASDyj8o+8PxpPSU0sooV2XPKZw0zBXPHbfV1y7/5unTO6+kmkZrOXV0nQ+R5PdGccA2zQ2XyuoZS9g8MKRLVa3hfvbJXta5tn/Xoc5h7O+J7DSnGzjTVttVranXLP+XxQVQFwMEMLYeHEyMVTjEIJUn/1SHe1jRfUYG1FHQVKyt4j/SZZUvKSzQYlGAirZ3p1S53eV/+w8Xp3p7Ie7cNIlZUDEgbrY0jlYdSHlGNB8mQ6nT1Duiw/pRE/bmxbTWwtmFmm53yx2uYq3xggCRVVl6waPr3DCe0zlodLoR3k3y4+q0OuOmeNrHGJlg5Vgg35L+8/Jb944KTq8kMtA1Z/nyjSQmxk62MRrReAFb57c4usanZ93GHloVot76ZYQF71/Itn/Xoc5gfO+J7DSnGz4an0U1vQ9j5rU4sWv+gdSmpSHnxJlEiymXGuNQYuNJKta9vUg4rBzedP943K6b64Gsc2+U+54oGAbh74To7DCMQAbG6IyqPHTZEclSKswKI1+ikY+0kZTUBpyWrbVLrI6z15ZdhzmXHKSsgzGrhfVVgp8bnFCG1LLzowlqSEPPKORu2E+8ADiMRje1NMLtndIU+4eJMMDsZVQ93BoRpHwfd/c1gr0RJl0XHsl/hcgBxexjPSpNDZwqGQzjfXXbTBRXYcVhze8qlbq9LyjkUD8rHXOp73UoYzvuewUtxMZeFKUVswztoaa+RoV1qtzngmZ3S6vUUNRxJqflSb3H+kzyRWprKafAm32+ps2+Q/y1cnnzGUzakR3jeckIbaqKxpa9Dv5HPcG3zwcpOx+B745mweMt7GoFrw2bSXcGkRU1UWk8jJtc1nkthMYOkz6m1E0SSEkkxILt+zRhMvqfKZSGYkFgtrpT8Hh5nMHz+666g8dKhPKWro5w/HF1a4syYS0OI55KOw8d+yrlEuPWu1kxV0WHH4wJfuku6hyi1v8u4/9XpneC91OON7jirFzVQWrhS1hcIreK6zeZIpvaqTniQdBp0mYKqRzOsinQMJWdMSU64nXq9SzlOjpmG82xjZmayhtdTXpmV0LKVfrIaimOS/coExzLWphz1gCufQJipdPQvA6LaFgvzevMWOwqVihFNBlMTYmrBGUeDhPvB4b2GzheLJ9o29cs6WVkc7cagqQgfNhCgYm1XGyUKOFKho29c1yTOv3qrRnflIUndwWIz4+8/fLse6J4oXlIvPvMlJCi4HOON7lirF2YIV6GtjeIYjAekZGKtKCaUUtYXER2gb/CZJEhqHPS8UDOgLqntNoQy7wuaNB1wrS5qq7pMuvuo4zqOsYTxjXHc+n9PX0Nq2lI/pmCcY2pFIUNVNsDRxWFO90VwfesLG4z5TcC1sRtjsQN9YrGCLFgxJIbRojW8TqcgLTYzM4+n+uNz7aI+q2djNFpGDx08MyfHOYbnxko3OO+hQcYTO5BWY1yjgtFBAYYUfJikM742rGxbsWhwcFhL/9dP9VRveX/hbZ3gvFzjjexYqxfkNY6uT/aX/2a9a2VZJpBIllGJqC9+LLi+ebpQw2pqC+j4a2HlPK7dAgfEk/pSCEjKa0dSy5LNZr+JkOd4vo4aQ0A1GFOsxD41knN5S6ju0MmYoqAt+PJMx2tU5ZBANB1z/Q2pwBpxsZMNzftpMBYY3GwOeDRun2fLAlwLPgyvE1uHqIoGAmNTWifdtbaHDp4fkc9/dq8lnZ21qlhgeffIIwmFpba6Vx48NzGoegcPyRzyVUZ1+5EKJeg3HiV0trLoPVXaRN3R69Q4rFYlMRv7nrhNVffZzTst7WcEZ37NQKY4KksYIhA6CpykvJ3vjys/esb5Z5bQqUULxU1vwbHMejOeGurByn/FmW543MAUqcmqA5/A4s9h5iYiWq51PV2dtQkXRZMf8xMW0lL53wGp8W40SNRTzkob2kqJYjqGhzJT/XeBNV/hdUSRGdFMSLJTRnl3NYtPm3Ke2AwluOuF6lJ1Jrpdnm0vlZFREk2nXto/J1rVNmvCqeQRNs5dH4LB8YZOzj3WNyG8ePiVHOoeV672Q6RDqBAgH1ehmPoPv7fTqHVYqXvnhX1T1ub978UXO8bLM4IzvGVSKu2d/l9y9v0tpICwujXU16lXFeO6ojyqFo3MgLrs2NCt9pJQSSrGaCdZZ/3DC08Y2FBDoJ3i8Mbx5D8M8FAxKLp9TD65NSETVL6QZl8aw5Ax4U+EOU8nSGoflwqgh4ME1ut3W413K8LbH4/mHWmKTCk3CpvH56vln2PaW+lLJPFS4bipL5k2xn2rpL5N6/b0y2VxXMp2XZNFmp5QBZG/B2y/pNeGl7B4Y083Vzo0tUlsbVaOlL5Nz5eUdSoI55OFDfXLfgR452TMiXf1jmmBt1JDwMhO1mv/r0s14xCSJQ62isI/Tq3dYqXjVR6uTFNyxvlF2bmib9etxWFg443sGBng4vEaOnB6WDasadIHBF73/6IB6v0mmw2AeiaeVCw7PsVgJxa9mMhRPydBoWk07VC4w6Dv747K+vc5UqwwFpG+IEDJe1IBEYyEJpnIylkLz27uoQF6ioaAkc6h/GG8shjdGoV/LtxoNbAxDNaGxKb21czKPGuc2BrLZEBQK88zQ8rYeb+63Em+eep2VEhNQGg36wr1DCeWKV3tJxW1Is8CLz5dot7qaiIwk0hM2PiZB1lOe8TziBT12L3+AftHRVqcbOlde3qEUjnUOy3/f8pjc/1iP9hM2bxjdmqsRNLkX8+n5tuMiEg7opjEaDsmmjnrdSGJ4u7wFh5WI1/zzLTKarPxza1pq5G1/cvlcXJLDAsMZ3zNAKmXKsa8imdLT08ZQDmlpRqNNnUjlC4Vl4ICP9sXVYMewvnt/tybYUYhm2CusouzoQFrammJyontEDp4cViNtLGkUPlhI4ZE31UVkMJ+SZNp4To3321jHnCfvlYrnO/nd3BCR/uFUxVQNP9To1X+Ucaw1loMBiQYCnuygzAh4rC2XuhJwWvNERPWztaS1VxipHO+3v5rmZJz3ySIKnCsaQRPxzGvSTUpg/PuNV98YS9on4ilT8GgoKZvXuHC9w0RAd7vlvpPy8ME+3bC11EelezCh/YdcCxSG5jq/oRhMfcw329c3y9a1jbJrY4tsWm36rvN4O6xEvOlTt8nwWOWDcG1LUN73V0+Yk2tyWHhYm2ROAe/w4x//uFx77bVy0UUXyctf/nI5duzYpMen02n5yEc+Ujj+RS96kezdu1cWs/KJ5RLjZc56qx1eJ/7G44one/+RfjnZOyq33n9C/uvnB7SsOBUrlUqSzUtLQ40ayRTNSaYzcu7WVj0HdANCyXhq4SoTZh4cSUkaOkc+oPxulA+V6qFGeE4aYiH1tOMJM4mQIZUbw5CfTDJwKjoHMoXTGc8myXNiVUraAKlDa2TOBLRRpYZ3yPP+Yxzz+W483qmMvlbu5fjvW/dVvg/ybCdrM0O9gSqUmrySp8+Lb4x6y0sPKN8epRNUIsoN1y/XseYwEcwB9+zrUkUlIkwm8gagVZn3oa3ZuWj+iudE5ZKzVstLnrFHnv/knVqhlSjfcjO83ThzKAef+Ma90jtERLsy1IRE3vdX18/JNTmsIOP7U5/6lHzlK1+R97znPfK1r31NJ66XvexlkkqlSh7/zne+U771rW/J+973PvnmN78pbW1tOrkNDw/LYlQ+oRQ7nqfaWFgXwTFk+uBsJ7PSUBdRz/fjJwaU6tBcXyMNsYiMJTKSTGXkwPFB/TxUFdV+DozTVTDsN69tVKMe7jaGLV5vvKN4zI3UXlAa66MSjYT1+GgIY5wky6AkU2ldDElywshvqo/IxlX1SrvQBMGJdqT+MRMD2XiFDZ8aQHVB+QOVA35MMub8gugD7W2M7byMjKakqz+uz6JUzqX/+orboiYa0LZrbYCHbSpTqnbyJJa1VZsp1+OPx9Bs1oKFKMe2DS3y1Cs2lx2uX65jzaG0IhIUNfoJ0TaiXCTvIikIPSyVYeM7P9dD3QHGGl7uZ12zVVa3LG9lHjfOHKYDBa7uPdBf1Wc/7bS8lz3m3PhmMvrCF74gr371q+X666+XPXv2yEc/+lE5ffq0/OhHPzrjeLwHTE7/8A//oF6CHTt2yHvf+16JRqPy0EMPyWJUPsHgJpmSyoRrWll0RMO/MIAxOpEJpFw7/8YjdfDUkHK844m0GoGUYLdUFcAiBn0FTy0KKXhPm+prJBAMqhecojh+TndHS0xpFPzU10aksR5VFJNklUyn5VTPqFJi4IBynvbmGjXaVR/cUwApeGFnuFhzzX5jMxKhuIdRQeFnPoUXYlFzTrz/gHszxojZoOhmpxRFhU2Ieg8nvkflUJ4LBg5GMlEJ215sevA4TvwuDPPy75hDeTYU1cFbePme1fInTz9bK1+u9LHmMBHMA8iBMt6ZHyimw1zC+CPHYj7HGRtRxgpJ50+5fHo1p6UON84cpkMqm5Wv/fRAVZ/9zJuum/XrcViBnO99+/bJ6OioXH311YXXmpqa5JxzzpG77rpLnvWsZ004/le/+pU0NjbKk570pAnH/+xn1WUKz5fyib8MPN4ofic8zzaeKDzbvMaCqWXevcI3GOMYXVBP4Hn76SqZTE6Nb/jSGJAdzTEZHEmq8ZdWyzCgHlI853wf9iRqI+b7DYUklQpI3pMgrIlm1COOccl3Y5PGwgHJB8c9ZMWLdjXJmSpx6FE04KbDW1aDVfWv5wecikRHLW+v1T3Hiw9ZKhDPIj9FwaFiEMGIhs3mgiJHftlEW81z4vEY8uW3HpGNdW31auCvbqmVay/aoDJt5WK5jzWHcbDxIxqGqglzAL8XotCrHdE4AS4/e42cu235qzK4ceYwHf7qQ7dW9bn/c8MOiYZcYv1KwJwb33gDwLp16ya8vnr16sJ7fhw6dEg2bdqkHoR//dd/lc7OTp3U/vZv/1Y9BjPBZIbMeIJkdYEAqCEb1zRoUQv0vO94pFNpHlAU4smMHDo5pLxweN/W08y1YMyRREh4eGA4pV4sTQRMZVXjGWNseCyj1A28SvCB62ujkskmJY+HC8MSTWk0xlXizigdKC3Zu5VkZlzmD0oLht1IgpIvZuFMpMYNUH9ioQV/lpLlm0y2sKB2EBKlwnBN0HEwvtkUVCp3WDXYYGSzKrWm7eLJJapnG/WXChVTLIg6YNj75Rat5ngplHsOK1VIM+9Y3ySX7F4tm9c0VtQvV8JYczBY3V6nG/87HukyEpdTSIDOJYgQAarYnru9XSN8tqpv+xJKsqykXy6FcQbcWJs9VNKWf/Len1R1jkvOapenX7NNljtcv5wn43tszMg8EGLzo6amRgYHB884fmRkRI4cOaKcuje/+c3qIfj0pz8tf/RHfyQ/+MEPpL29varrwOBqbZ06HNrUNLMCJq0t9XLf470SDIVk1/pmNXbx+iolJQWHN6963CTQZXMhpZ1gDBujNy+d/WPSqLSRqKztaJDuvjG1VIOBoPSNpNRbjbfWvDZu2JFAaOX9wmFDjyg2cvk3uuN+T3a+TEOR+wgFPTqJ5+1lQ8A5/cV+TCU74/ENhUO6MHD/UC+gfyC32N5cq/Jocy1/huc/geEfMJU1qatJm2CocD0z0cwuNnKmupVAiWMwWIy5ZKIf2m6hoKxZVS8vvGmPnL21Tftrpf1yJY01B5Hzz1otv3rwtEazFqqODlG+TWsaNap3630nNWmcf0Nro4T81eev1/eXCsrpl0tpnAE31mYP07Xlc990c1Xfu3l1nbzrL58oKwlNK7xfzrnxHYvFCjw5+2+QTCaltvbMxg+HwzpZwaGzXgH+fd1118m3v/1tTWqpBhiJQ0Pxku9h+NARhobGZqQOQHGUg8cH1IBOJEyGM3u7mnBQFySr6YwnVmkfSocY/3wSD3YeL3VABgYT0lgb1n9DW1G+OEonufHvsbCXXJAb9GgXlv7hX5irWaTxxhvZwox66TFiVUtYn1dAvVsco978TFaNfLz3/tLv3D8bDJI+t29okgPHh2QuoVJ+2ZzEE3mvouV4BU4iDrMlAqE1jYqehwX2M8VFUHsZjnsPxsixe3xws0miuBIbpk2rGmRtCwt4vKx+yXt+78FKGmsOIihYrmmrk2Odg/MqJ+jv+1vXNUlbY1QePTaoicxN29qkvdEUG9t3qE/Vem66YnPZeQsLhUrG2lIYZ+Xck0P5KKct3/iJW6pKcK6LiLz3L66R/n5qHC9/VLquLVfMufFtQ3NdXV2yefPmwuv8vXv37jOOX7t2rU5W/nAcExxhu+PHj8/oWjB4p4Iaw1WMHlulEv1uEhvx/ljjFLBA4v22koQonfCZYu8vPOQtaxq14+FZtq/RP43ha65tEkryBKgxWGR5V0v5wGuP8c9GADoJ44ICjrFwUNa018qmjkY1auGeP3iob4J0nr1eXosnsnLoJNJ5YaXbQJmZK2D4qmce6bWQiRSo5GIwIGOzIAGh1UOxfignz4akiKJjvezw9YNe0RGiHhMqWqKGEoLbn1fK0fWXbFB6TDETvdx+uRLG2kqEvwoudA6rmQ3nm3mhZ7C0wsZcgv5dEw1LW0NUTvbENa+C67E0Ezbja9tqdd67e2+ndFy1ZUlQUMrpl0tpnAE31mYPk7UlkoJdg+MOlnIBu/uTb7hhRT6f7Arvl3O+vSATvKGhQe64447Ca0NDQ/LII4/I5ZefWbmJ1zKZjDz44IOF1xKJhGaMb9myRRYbqFL5g98ckW/fdlB+8cBJTbrcd6Rf+d0WKFdQiEc9xl4BDH+ZdCv5R+nzeCIj29c3Sf9ISktGq3GHvrWXIKnl5H22GUalVpAugr9yov+1asA54Z4zUNqaajSM3NZQI+tWNcj29S3SUBfVGzl0ali53YXzldgkQLOhkifG6FwuxWwGNnbUycaOejl7S6u0N6HwYjTTMWYqRfG1RsOmaihe9An3qZUFMaqN5jvJcCNUOI2GVRUCY5vfVqqQz8dqwvKsq7fK5tUzC88v97G2EuGfX27+1SH52k8fk6/8+FH59UOn5Kf3HJdHDlcnZTZTMB5am2p0/oJaZqRQzU/hmEBgQlXf5QI3zhz8+NHd1UsK/tvfOknBlYo593zDi6OgwIc//GHVNt2wYYN86EMfUm/ATTfdJNlsVvr6+jQbHG/AZZddJtdcc4285S1vkXe/+93S0tKixQxCoZD83u/9niwmsKj85O5jMjyWktpoWCvM4flWya9MVnZsaFF+NwsVBnX34JhkUzmvGI1JfrTUA2gdvD4wktTCGSQuYbhB0+CNLCXjfeXQ/cmDqoxSFL6ZC58yHtuBkZRWr3v6lVvlWPewHDk1rJ5xVFaG4uXXz4V6M5c8Vbxs6JunvfNQ3hrJxx4kIKvYbPuvlbZH0s2cZ+KbvBwNi6xqiqmEJPx3NgJ7trSq/vuhU0OaeKqGSjgoHS218rQrN2sRnZliOY+1lQjmlx/ffUwTuYnYIE/Kz0OHeuXWe08sSIKlBZzuneubjEMADxbGeGONJldPPC4k6eHkjHIsFhvcOHOYICn4k+okBb/gDO8VjXkpL48eKjv/t7/97brjxxPw+c9/XiKRiIbdbrzxRnn/+98vz3ve8/T4T3ziEzqx/c3f/I0ef8kll8h//ud/6kS3qCrMPdolJ3pGPFlBlDzwhnrSgSMpOdY1LGdtbpV0OqvGKRrgx7pHPHUM4/02mtLGgKakOBJ2h08Ny0g8pV7R0YQpDw80mTE3kUJiJAvPXIWrkQicDoZHnldFl10bm7XKJpuNwXhS1VowNMuB3XDM5bUSRaAdz9veJgPDSS0rT7l21U2v8LsMV9x7tl4hId046c2ceTzGPZsoaEamyqXI4dPDapxcvGuVnO6Nq6zkky5ap5uCsJWMmAUsx7G2EsH8cOt9J7QKrsmjSCuFiSjYXCcrl4OG2rAmUDP+VdGoBppJ/RkRIjaabD6hyywnuHHmMBNJwX99s6teudIRyFdSBWQJA+9MX1/phAY8kGSNk/BQLgcJSsiXf7xfPdQYZXgyWWBqa8KmAEY6qwY1Fd/g8yILhlzgzbcd8hIjUS7JqoeW8xO2ZeFCmhAjHuOUhVarVpKwmTUygiqbVyRzx//m4ylaIzlQoLuobIf+DR99MRgF46orAVWNed612+Xhw326aThwYkgGhhOFAkXleg65P6qO4n2k/XkWVvWl+LzAUoqIbuAh5Nmgd87r9A9bhOS5125XStJkmK5ftrXVL8rElNkeaysRzC9f+tF+7bfMFcwL9L2FBt2NXAVyQDatbtQ5DYpd3pPIZO6y4NrhfG9Z2yhPX+Sc76U41qYaZ8CNtdlDqbZ86Qeq02n/q+ecI1fsWSsrFUtxrC1Zz/dyDAffcu9x9W7iBa1Dg1tVTLJK/yDh0vadJ1ywTratbdIkqZ7BMfn5vSclkUxLW2ON9I8mlRaBgYacIPQN401F/zsosVq+lyIxJAwGJFUiM9gaw6WM8FK63bOmJKKJhtVP6HPh7bZQIzcSUtUF5M4I0//2sR4d6LY9uP5S+uWlro/feB+zgYnl5G0hIat24vfoa/IlhXzSRh0GBRg+MJY0ERI46MspFO8wu17v+w706HxSVxOS/mG83gu/s2VKW9VUozKiTbURedIF69WwRo3pZ/ccV0Ob6A5UE5wPJGBT/RdK1WI2vB0cKkW1hvelu1etaMPbYRzLf3sxBwsj1SwJA2N445nGmIIaEg2HlI5AtTkWIP7dXBdV7yaLz6rmWtmzuUWL5bBgNcYiSjXBADda3XnD/dbvC0pLQ1QXM3aK8IV5H0QixjNuYf9ZvLzhmfbJRc8Ys7n8V7sWT7YhRvaMJEg1iAMibU1RXfjvfbRb9h7p10TQM8rFT2F420TYidUqKc7j8+x5Rrw1xq2qiwUFjOgvNdGgbrCM5GFOOvvj6slcbqF4h9kByYnQo+gvfUPJRWF4g1g0qPMSXu+Wxho1vJnbNnY0aJVfikIxL1Lqnt+8z+vLvdy8w8rC33ykOsN7+7oG+evnXjDr1+OwNOE831UsjCia4N0+0RNXbnHI0+bGWmPBVP63GO1rlCwsMN6uu2iDJi2e6BlV/We4xBh2SMzxWUtxEGvYi+GDQz3hdzKTk46mmHrJUU3BiMtPKJ1u6A5cT1NdVEbH0sYj7+lcQy9eDJKv1XrkJ7t2XrfShfzq7E+owb3/aL/EU+XfcNAXTfB/ir95XsBf4XI6ug9KNGyw9LuRZ4sEVTmGa2tpqin7uhxWDkz+iKnQynhfLIhE2ESGdF4jmZlongUG9tr2upKSiA4OywV/9g8/qSrR+YKtTfLaF142F5fksEThjO8KwcICBxPDFr6jcjFTht9tEiONnnNdLKBeIbxEfrBI/d4Tt2myJkohqBeo0R0wRhpJgZRqxoAciWe0iA3Gs3pNszmVsFvdWqfKKRjnTVkv2VNI8kzqZwNaxVGUDgMNBq+5pVHw+lzRURYSxYWEMG5RiajUdrGHF7cPr+eoHIoRjS1dBmPEVvuE7sLzwwvOdfEM8YQPDCWn5Hw7rEzQNxLJjFKUFqx0ZREoFEbkLhYNq0JPKSqJRvdcf3ZYpnjOG24uZ9o/A9vXxpzh7XAGnPFdIfDoYPTiQSbbn2QjDNxk2vhLMWzxUmOc79zQPME7NNFLtFX2Hu5XRQOS8Na01qpHad/RAZUqrI3iNY9oCXot16znDEpHa0w2rK5XmgrJnmwA4IS3N8Y01KvUlJzRjgZ6VSR1howm9XIzuqfCTJyGpZrJerxxgPu938WwJom3F9NnksubaTsUDEp7c0w3ZY7z7VBcSOdo14g8erxfTveNLniCZcA355E7QZ4CHm8Mb0clcVhJeO8Xf1OV4U1Rure/5Jo5uCKHpQ5nfFcIjOl17fWy72i/Jk4CVDBqIiRHYoSbIi5GVm7qRCM0n8HWtY0FlYDNaxrUmMewxnNN+eYDxwfUZU1FuVVNtVq2nRAvOuBIfeFxR0+c49Vb5nmhMNrra8OqmoI5yWJeXNJ+vmA51FZe0f5mk8F1zWa1SzYaGMizvdHA453NeMmVkzxW+oIelzVGN3zv1oaop3CTVx3kde11eqzjfDvYBG7ySA6eHJTj3aMST6Q0X2ChQB9mLkFxoD4WkqdduUULQDkqicNKxMFT/fLo8epKv3/6jU+e9etxWB5wxneFYOG5aNcqufexbqVztDZG9TfUEzzLUEdI9CNZEgN5Ou44RrpfnquxLqoFeY52jsjgaFI9pHja0QkPZXOqEx7qDeg5VrfWKu8cegOyhbU1EU363NSBZzyrHvTRePr/b+9N4OQsy3Tvu/a9et87nX0lJCEhQIRABCcyynEUPTPqh+OogMs3cj4HxGE+jgvwDSooihxUFHTOKAfPjDii45lBEBCRQNhkCQmBbN1J70tV175+v+t+6q1Ud7o7XdVV1VX13n9/2Onqeqveeut9qq7nfq/nugn+cCXeTZQymSkVTWRan5exDK4ZqTNoAhwiFqkgxRTfeI/gxS82ENTafmu7m5uKwt0rM4LaYDbwwlst0hDHu7HOSu0NzuxitJmuigj6ahePMf7cASzgjvFVNFzpCkUXUXibiDauaKI6p4VG/VFavaSOzjujXQS3oNuxess/vVjQtjd94hwZN8KsiPguAPiqvS4rDyxUumEJwX+werQ3OFgYQ2DhC3Y2D6TmHYfVZDoQ4Gt76ql3KEBnLG+ifYdHeYEmKti8di+dplFfmLs1Lu/w0oWbO6jOZeNq+RMv9dHhgUn+NyroWgQeg26PmX8X0mJ9IWh+8yk3ZJpwOG0Wrshn4rMXDI5TKV5dtilSTuUen62osuMnKoO4HZ5dA6X5nGipd1J7o5OtRZgkYbGtxK/pl77hAD31Sj9PvJHbj7hSJOj0tLpofDJCocyVq8UCySXNdXZuTIWf29a0ynkq6JYrv/ZYQdt95vIzeCwJwmyI+M4TiFbk2UI497S6s+khSBiBwEIVG3YDiKy5PL0QaBDHfcOTXP5VUXSqyyUq3QAiDV/IeDx4yJETPhmJs0KFsENXOVTY1y9TXdIguPHljQoa9k+LzGMBnrE9ZEXpAtXpQnK6uQkNRCwRC2+89mgczWhSRWmZXcyC/vTXiWMJqwzOA1TtkVJjtWrdSVMsyLGgEr+v7XHz1Q90tMRCWryvqHiLZ1afvHRwhH711GEep1oiEdKIcP7DgjY+GVvU/XPZzOR2qIQkOU8FvVNolvfu7Z109pq2ou+PUFuI+C7Am3mk38+CClm8iByEhxeLLwGasPgCUbaB4BIyRNr0yhEe57EXj9Obx30UimiNdVQMICrhEN3YpLNJVcPg6+bmLIgdRKMXSnOXRWPcQMeGJun1I2N0qN9Pz+0f5g6OEN7wgcMGASsMGdPc8lxzfhSqTSEYyJDm1A+gebgLASLVZVc+dY5SrDNxtQ2V8MVMV+MOfrDkZCYq+I8FtdnIlUpYZJC7jio33qNgOMHHGhOh5no7ixfcD4sq/+zsJRK/JmQr3r/642FOJGpwI7vfwGMf1i+TMc3rRxZzLTTO8fdduJzWLGmQ81TQPZ+8rTDh3Vpnpg9esq7o+yPUHiK+5wkE8yPP9bKdBF9M8POigxuENhY+wqfN9xsN0vB4hMXY4y8dpxcODlN7o4uTAtqanCzCHnz8EB0e8FEMHS1z2pTDvoC/owEPdC4q2BDx6g4Q3RnbA2d5o/FOgo70T9Jv9hzlFI04+75V/CG+NpHAkvv4C0FrKd/e5GYxif1Cvnih4hsiFtYdfNH7g1i4qnLOYePRqvWlZPokBKI7E+PNz4+JBoQRLwq1mfl3VLbhqYfVZ+emDupqcdHQRJj+9OYojfsjasJjNnK1cPOqZr46cWI4yK+xs8UlYkanYAIOq4kvEOPFt8jLBsjMRs6/ltm/mGBCiXMUqSaCoGdu/MEfKV6A+wuf7l/99IWl2CWhBhHxnWdXS1S5cbm4s9nNQhliEVXpw/2TLH6xMBLxf0hEOT4cpJfeHOXtOTrQamYBh4o4LCcgV2hmfdGwZRiVED/5nZzm2CKDASI7xc8F4uk0HR2YpPVL6zORgkrgFTvtA/sJMXpiOEBup5WzxHkhZwFPgpbZyCrH9r4AKt0pPh5GA7Kwiyu8Z2ohD0ENQYzjyF0pU2kWH7CQwOKDQ4upDoQR3jPsEHKXjSYjdbU46fKLVmT9fHgdG5Y1TqluY/IEiwF8vXgOCHKcD1vXyGV8PYJzA1fKMDbNmYZLAPYkXMkK5trBFutqj8FAsUVMWBGESuDp1/roxGikoG3v/fuLi74/Qu0i4jsHiOSRifApFoGZkkkQ7beis45vhzUELZVRyepocpDXZaO+oQD7vtWiPAMLPFTKIcY00nl2csRtBoP6Q25FG495ZCDAAhmWieltzotzbE52fUTVXzVyJ0IRL584YuwjKt7o9BiJIXs8xVcOcOyddiOnLEzCipMqrGqvTWa4zbwJQhtVRrWYU4s7hNiAIMZjowGOMbONy2khs4HIH4JdCALdTI1uCwUiSY5dQ/vsD+xaecpCmtzmIrhC8rvn+3iihvMFNiJM0I4NTrJNSdpt6w81icZkTjXKwkQPRBNJTiVa7Oh9rE/gRcJyYUbQuTXsB796o6Bt7xPhLeSJiO8MvYOT9Ltnj9Lx4cAp1UoI55mSSSDA3c56GhkP076jY7Si08NNKA72TrCVAroPNoV4XFXEwXy/aGfyZrOgnuEBUJGG/UVb7FnKL1GO2UMHT5tqNR1LpCmBFvfzeGHYLVwBgIcd+4nUmHBaCW/8BxHe6LXx1QFcTShElEDXaKkpiAZM5DSJZ1GurULNRAPGMs2RUIWEJLJYsGg2wVVwXKGABx0ieuuKJrpoSxcL59yoOEzS0CYe3Sph93n6tQGaDMfYr69N1GBbwf2wUBcRlfCBiwVFP+C9xzoOeLxxjriMxOc30opwri8WxsxkHRNhpCXBFicIegSf6V+899mCthXhLRSCiG8ijvF74k/9NDoe4vSQ6dXKbWtbWYzjNgipmUQyPNcNbjvbE5BmgAvJEHQQ7viChWiFMJxvNTdf4am+w3P8K0VE83vnpoggVYU7N0Lsz/MpNS81GohA1AZCca78ac+BqiCON6rqcz0enDWzVfcR24Z9nc1Di+NvM6vGQ1i0ismRzWYm1MED4QQ3/EFWNwSJFtMIL/q6pQ0svLVFt5qlBI+hdSDF8cDtEDJep40nZydfu4FFPLafK4JSqN3GXPhcQK73scHw1OShMqPl0eOqE+wmKpmnntvHC4IeKTRS8K5rdxZ9XwR9oHvxjRnv8/uHuBrb2ezMVnBzq5WH+31crewdDGRSLk5WLZFuAosBOkliISTSRThhhL3E6HgJy4MSqFiQxxF1JfzWRfV2lgJ50eP7tPbXeG3wR0NQzLpfsHwYYVlJZBY2Kn+1tr0m4LFIFP/SvNpaoTpXS6vJjoHSmZ3C42pCWXvM2cBfI7E4p9S0uBzU1uCkJq+VXj08rqIh02mKxWFFMfCECqkUEE2/fuoIb/zKodGspQT3e+uET73/djMvrMV2sOWgWyFsSbkCHFcK4pNRaSuvM3BO4Aragd5x8gXjJcuhnw+Y/BqxmDie5DUMLoeVYwVxVUeuxgh65KZ7nyxou4s2d5DTcvLzXRDyQffiW/NztzQ4ycDCOH1KtRIC/G0b22ncH+U0E4fVzF9UbJWIJThWDuIcUXl1LmtGwCX5saY3jin1ly4mAGy5mMfVbAhimoc//HT7rC1anAv+c47mzK38Tf+p3V+TApi04JhqaST4XSVFQKQb2K6iTThmmngYMqKD3w8I9EysI0QH8tORa4z3DtVyZY0xZwU9qoOoxKMi/x/PHCWv28qWEoAmSBBSLXV2CkQSNBGMkMViIqvJyIsuB8aCbEvSXgfOCVxBkbby+kGzKB0fCVDvUJDXGCyWxsVEELYvXK3BVbmmOgetW1rPjXRkHYKgR/6fO39P/pCyhObDllWN9NE/X1+SfRL0ge7FN6qQsIXYkEQSReTdVLRqJawEm1Y20yPP93K6CEQX4vKQdnH+xmZu9Y4oQgh52FO4g2TGYsLftQa0gC99vUt1XlR15NPZQSBcIUJVtXlhzEfs55I+3e854hvH2WY08XulWV0SiCQxGigBz/lpnhuvEYKdJ0KZScJEMEZH+/20srueJ1RY/AZxDhsKnhiCGwLcYjDy+YGrGUMTIWprVGk38IOj4m23mTj5BaImEoUH3MzeXrvVyFGR4UiCs8zx2FhwK23l9YNmUcJVEDTRmQzGeREwL1wu48UPq8VAXc0u+q9vX8VNrWCNs9vN5MSCYsnzFnTKDd97qiDhvbrTSdd8YEtJ9knQD7oX36hCwq8bjals7Olo1Up4NV9+a4RF1rqehpOV72iCb0eKxcXbuumBRw/y3+ATRoWJq64q3KCg7NCCKt95RJ2oNJDyKYF8mvzgfYHwhnBVnSNVagxeHiYyrJNPoxu0VvAQ7ZhssN0lqVrQw+uPB3A7zFxVx23RtJqMceMfC55fxcGpOET4ydUTQozjMR2ZaEfcLxVL8oJRTnBBwgX8/pnccghvra08mClVR6i9vgBYfItJmAbOvXJaTjC62xsctHVNKzfQkfNMEIj+7YnXaXAimvd2uGZ5w1+fV5J9EvSF7sW3thjqxFiYWrzWKX/TqpU9bW7uIIlKJy7PTvd8o3L6h5dP0Nol9Xzb8i4vp2WM+sI04lfxgioGMP8Kcb5k4r/Vvk37G2IBYbnQtDkEpBZdWA60qL/5et5RVcbxwsQollCJKjyZUdHb87qaoL1WLfIRQLTbbRYKR+JsJ5kIoCqe4sdkfY4Fm0kskk2T3aoWgqJyju34ikbGxgKBjmMIvzvug99xhQQi+9hggCdsE4EouRyWbLtu8Junj0oGuE76AtS7bDQ4FuarH/B7l5s0urBGktTV7BbhLQhE9I//cy+9eWKyoG1/dOM72DomCAtF9+IbX0jb1rVS4E/9dGJEpZ1whF48ma1WLu+ooz++2j8l51sDCRkTkzF667iPnt0/xAkeqJiidXq9x0rNdXYW9hBnEFrDE5GiZ3DPm0y0GKICAf6/ECuMWjxawEQi47We7+uHWGHRnPndqEU3ZirTmhCez/7i/xNJWEvwOCfzliGyLQYTV9g5UjIjpllYp3BlI8nJJ6h+t9Y72OOPCRcW5OLcQNdCM3znsSSfOw67mhng36uX1NF5Z7RnL++j0YrWJVUywGuX3L4A+BzBe8w2qUUAV1awH/Ccb1rVJAJc0DV3/+LlgoX3L297D/l8oaLvk6BPMoYIfQM/5Ht2ruDqJIQRGubgJ36HIMIiyplyvnE5GX5OVDgRnwdhBxEHYQdP8KgvShPBOC3v8LA3HDaF+VZ9s4KziN+VsL1MTyQp5OHnu6CzGNtxx0tONFHdJiGEOVEG3SnnqeJV51DlgUeCCd4jaBA8HvYHHTc9Dmu2OygEubb4MpVOcVJ4k9dOl567lO+HBbiwjOA9xWMN+yL8PrXWO9lPi797nFa64MxO6mn1ZGMFc7ukQryjmo6f+B23IwN8vhMKoXKbdMHfjckU/js8MMkTtPFA+areOLetZmTXGzjNZ1m7JxtxKQh6JRCL0XMHRgra9qarzlEL/wWhSOi+8q2xpM1Dl52/jIYywirXi4sv1Ok535BIvLgylqB4HMJbNZ4xGswUzbSFT6eRZ53ijokrOz2qEc48Pc/afUpdJa9kqcdtr9GSGxnqHhtH+KEaziI+jzxF9oubjZxEEospDzY8+ZhM4b3m5BRuGKTyxzmfnZNR0rwwDtaB/3L+ctqyupkXXObmfCPpBpMzPD72L5YwZi0muVXsmbqkakgGeO0srnzr+AQ36kJ3W5ye+MKeK4KzFOB8x9UdXL3paHTwYnLsj0RcCnrmmm/+oaDtLj2ni5a1eYu+P4K+EfE9S5vwmXzhsAdoOd9IsYAtBckWyK7GFx26WiJDFyF6qKjCsgCxjhi7/Ykki3BUcA2ogNPiok0C2IeNRYllsrHN9LpnnZDgSgIsIuk0+UMxFrtaBGE+x8/rsrDQRsUcS2yc3HHQyt0GsagT7yd+NnpsNOqPsj9XRRumWZj/1SWraOPyJn4sCGrESs7U4XKuBZT420xXTzQkA7y621L/+x+PsADHZ0IsnjjZZbXMHjNMWAHO3Y5mJ3+e4ZySiEtBz3z8q78raLslLTb6y4vXFn1/BEHEdx5NMnAZGZYCVCkhqGE3Ue3cYR8w8ZdtOKJSLqAQ8XPUF8lkUiu7A4QdLAaLrb6z2drcedNAqTLvUK6Anu2ZUd3GBAZEY2h8M/f9Z6Kt0c5VC0yQUO1G9RmefFS5HRkRDquItoCyzmWhZe1e/n1sMkqru+tow7LG007STlethvCZrUsqkAzw6hXeSDjqG5rkrq8Y8xxLv0j7g8kdW6wMBmqvV+3iJeJS0DOfvaMw4Y06yVc+cX7R90cQgHi+5wkqnvB/97QpX3jvcICrxexDtqpW5LCYcJOezMJG+JMhvDl6EL+bcb/SdrgsBCwyLDc2S/5+9nyKiNx102SgM5Y10vmbOlQ+NzpnmgwUDCdYZC/vrKN6l5U93vDnT4Zi5EYjEruZxTp83ohoK8YiNe3qCYRQbiOn3FQdnGMikKrD1903FKDXDo9xxRsLadOodKcRf6ny5BcLfAahXTxny7M1LpSNuJTFloLe+Mztv6Ng/omChPrI9z9/cSl2SRDKJ77RZv3OO++knTt30pYtW+iqq66i3t7eeW370EMP0dq1a6mvr48WG4ijd+1YShdt7qS2Rge1Nzp5sR46IqKjIcfN5UTQ2awmrnJqfmBYTlBlPd1XYG7CR62htZKPJ0rrZ4fOwPGHGHn61QGamIzwjVgA2d3q5gnHy2+N0uvHxmgigLjBKI0HYtwIJZiz2LZY6SPa1RMIIQgi5MPjqgl+FlMg1cpYq0RgK0FM5C+ePES/fOow/e/H3qRDJ/y8tiOZqTbz5HqR9q/ebckmNcHihJ/FPo+Fk8hYq2z+33ueokj+PXTIYyP67nUivIUaEN9333033X///XTzzTfTAw88wB9aV155JcVisTm3O378ON10001USdUueH3RHQ6Rd8s7vFz5zlaz0XgnhSYuKH2hAq4W9bXU29lugIWYHBGKBVFzaKxKq4wXE+2llaPYjisTsApB2GKi5LKb2TvuC0SofyRIgVBMZYcbsFBW2YRGMl7uzauaiy5Ypl89mZ6qU4znq/axVsn2kl//8QjtPzrOk2uPw0zhaJw7o+IqCcY3mjSVo5HWTCDdpM5to84mBy8ebq5z0AcuXkl/ft5SEd4lQsZa5bJn3wnqHyug5E1E3/6cCG+hBjzf+CC677776LrrrqNdu3bxbXfccQdXCx5++GG67LLLZtwOH2Sf//zn6YwzzqA9e/bQYqcY5DZF8WasCvAOr+isU62jw3G+9KxVwMyZL2ikHaCiCkGHajjIdJ6flWrR3vkufCzHY8Hqg+Ixogh5IWk6TfFEknqHAix08b5BYENoN3lt2U6UFpuFBTiE1JvHfZzHvXt7T0HCBc+ZuyAzdwHmTAs2i9XhstrHWqX7umEvMRpUUy18FkRx+SZNakK92FeTDAYa80d5so/0HdinzDyprNVraIuLjLXKBd2I73lof0Hb/vALby/6/gjColS+9+/fT8FgkHbs2JG9zev10oYNG2jv3r2zbve9732P4vE4ffKTn6TFbhGNlBOteoqfqIIjuxftybn1uVFZTWA54Ug7s5E8Tgt/QcNfjL+h6U6tUahYRrMcaIJcew0eCx0kp18RwO/w0c7XH67ld6PdO96r8ckYHezz8fuF94UXl2by1n2hOFs/YE/B/Q1GLHg0s1hHVbqQ3O1ca8JDTx3mn/gdt09fsAn7C34WSyBV81irVPC+wdcNAQ4bB6IuEduHSRr65lSC8MbnDzeI4rJ7mq/IIS5TknNKh4y1yuXqrz9e0HZf/vh2mawKtVP5HhgY4J8dHR1Tbm9tbc3+bTovv/wyVxX+9V//lQYHB4u2L+hoOBMQXrk/AUTXS2+O8JdsV8vJlvJ4DCxmisZT7BMeGg+zMIRow5cztBpyvyfiMY4dtJoMNBlSX5C1bCeZLziKqPYibQSX6bVOkiCZVMJcU/VaAgneC/x7tm6c2scl3iL4750OC1t8kGYy6o/we9PgVfnasAdobe65bbxBRQ1qj4EJFCXQft5MA2Mh8gVj1DLP3G1Mxh59oY+7nDZ6T3awRNV9PBCl3ef0cEOn+TLTeVmLY61S0T4DcA7hfML5sghrk08bowlwVa3Ojas3mNmq9Q4uVL9neR+E2hhrc72/1TTWisVf3/JIQdtd8c41fBV7NvR4LEuFHMsyie9wOMw/rVbrlNttNhv5fL5T7h8KhfhSHv5btmxZ0T6kIH4bGuYWPl7vSZGFyucoEiha3eScoWq9vLuOXtg/lI0RNMaTLL5hazCaIOyUtyQSh8g8WSU+nb0CCR2LkT5SLviVGRC5aKFILMGCJveY5NYdVIUawls1vWFfdnrmqEL8DZMi3A/CHuIjSWm+v8eFhWjqVEfDETWRYrO3ioXk80N9ECQTSc4Wb6xz8ONY7dbTnjfavv72+T6KJtK0ckl9drKGLRvqHHRsMECvH5ugDStb8u6Ulnte1uJYq1TwGTDij1ISCyo5m18tqKwUcBrhCwzVunQ6SXabhSf+/lCCNq9uplVLm6QrX55U01ibzzirlrFWDN533S8L2u69Fy6jv9q9fl731cuxLAdenR/Lkotvu92e9chp/wbRaJQcjlMP/i233ELLly+nD37wg0XdD4gjvz8049/wBYYTwe8PZxZLEg0OB3hBnsdupnD41AU0oVCMk0vWLKlnfyUsJgeOTXD+N4ink5RMKMGoqt5KCM6GdrVLE4O1BCa4ufFreI0GE+KcjBREm/jM7dC/aLWOS/noBsqL2Hi7lOpIaTdxOojqHjr1OfiKAxIeIHgdFnLbbezthjBB9RxWEmAxKtsHxJQS81ggC1mlYiLhAfeiYmgkiqVSFIvEaHz8pGVkNoYnwnSob4I8DgtFIqe2EnfbTfRW7zi9eXR03pX0mc7LXPC33OpBtY61SgWfAWO+MIU4l181zqokUPXEOa/liuPzCBX67hYXre+pJ59v5vdAqI2xNtc4q7axtlCu/OojVEgj2eXtDrr8wlWn/YzX07GstLFWq5RcfGuX5YaGhqinpyd7O35H1NJ0fv7zn3M14ayzzuLfkygbE/EClk996lP8X6FgEd5c4ETQ7mMxqkWTEHszNUWBtQCXeiHcJoMxtp/AhgIRnYn6znaQVFYKA6Ug8jJ/zwVOh3K1k18M8HrxGrWCfiSqrhCoaDbVzACXyy0WI63uaeCFq2jTDU92KBInr0Nlb4ciSfaxmg2qColjn1v9RqwgxiwWnHHjI6uJxQj+s1lx/xSL6zq3lSdWsA7hfUqlUxRPKEsKhHprvYP6R0K0ekkdP9bpzhsQDMX5eRrcthknUPDg4u+4H+6TD7nnZS2OtUoFnwE4P9DoqdLGJc7zereNJ4xYSIzzFl13saAXCSdt9Y6KP76VSLWNtfnsazWMtYXwxR/8gWIFRAq6bQb673+zI69jU+vHspwkdX4sSy6+161bR263m5555pnsh5Tf76d9+/bRFVdcccr9sVI8lz/96U+8Ovyee+6hNWvWULmYqaU8V0ajCRbZRwYmuZqKZAzYJ1BBxX92i5lXtGtf1pjY8aK9zO8zfYlzJXcRk0ZKDl5fztVv7DcmIvw//AIBbjWR3Wrk25Ems7Krno6PBKh3UGUW29NqEgMRy8KdZ9DwhaNzqJGiUfjt0UTHyGLk7HWtdMm2bnr0+T5OqYCFBPeFmEaHUkyY3ur382V6TAYwKYKAgY0I3m34tZFKgm3nk3hSCR0sq3WsVSr1XhslkkkKhNXVlkpAW69gzBQHYJcyG9U6FFxRQR+C7hb3Yu9mzSNjrTK4799fo77RuaMdZ+POz0myiVDD4huzfXwY3X777dTY2EhdXV102223UXt7O+3evZsrAGNjY+TxePjy3dKlS6dsry1e6ezspPr6elqslvIQTvg3Fl/5g3HVxMViomAklq3AIlc6lVTNdHI5nU20kO/1CtEC8yKVs8N8aDIzB03QxHHconFKp7GQNSOijUSNHjvbQ1DBRlUbohsLzEYRFZhWwhvvASZGKTOexUjLOjy8wPLc9W3U2uBkQYK0EX8wRnabiYU5oiFRQYdFpKXDzh774fEw7yLEMQR6o9fOFiKk3cwng3umydr0DpalbvFdrWOtUlNOHnuxjw71T1aE8OaJJ08O0bkSliksQE6xxaql3kYrOr3cpEkyvcuDjLXFZ++BQfrDK4V55+/7e8nyFmpcfINrrrmGEokE3XjjjRSJRGj79u107733ksVi4Q5fl1xyCd166610+eWXUyWhNUV5/KXj9Mpbo5kFgmnOkkZ1FtaTWFxZSTiVw5BW0WOV8G1dgUBAQDTwQkocs5yqP64QQHjDN99rM7PQRtdQr9NKy9q93HVSebiVZ8zMx9zI4hzHHws4UQ1sqXNQKJpgsQ5QBbzsbcvoiZeOc0dLVKCxGLOtwcECG78HfRFqqrNzEgkmWahca1c6MPFC5CCq4HPFUE2frKG6rnUbhPAuV4vvah1rlSa8f7v3GL1+bFwl8uRYphYDnDFWk5FaGhw8YfQ4rXxlp95jo9YWDyWicZ4wSkxaeZGxtrhZ3t/9xWsFbXvXtTuLvj+CkC+GdCUt3y+xv2hsLDjrwiWsGseii1wPEne29IXp4b291DcY4PbNx4aCLM5QdUUUHQS4JgiTKaQilPFFVTi5Gd7AYTVytQ5XCBDpZ9LyiZNq8SPbU7Rs74xFA5nFbC0xGrg7pc2CCMAgV7e5iQ4WTmauNMCesqzdw4L8fTtXcIa29j4iqxkWoUaPbYrAhqh/8eAIRwOuX9Y4JW0FwGaEannu4+XblAmTuEKqkrOdlxqNja6KXJhSyFirFHCu4ErJwb4JGhgNck48ziewWB+UdS4Lr0PgCWKLO3suVfqxrCaqcazNNc5ALZ8fH//q7wra7oJN7fTxd23Ie7taPpblphrHWtVWvqsRTUQd6fezvxvdLCGmsMgSgm94MsyLAdlukllQCLEYTyjvN+6jhwJ4bvzfdD/69JdvNpv4vgkYUdKodqt7IcOb0yQy4hs3Q7RCcKOSvLzTS6O+KFezDZTgBZP+QJzcTjMZEEuSJu4wCpESjiW4Up5r70A3SUyU0CRpuh8b+4Dnh8jGgjV4Z3NB9To+GZ13w5JSdrAUSg/eN0yc0BQrmtAiBhcHfP8019npQ+9YwxYsOZcEgei67zxR0HatdbaChLcglAIR3zlwpXsiTEeHJumpl/vZBoEvPAhvVFqDkThXSjXRjcqpyQihrRYQxtmrbCQL2yFSFImlSthOurzuFtUcx8gCuclj5Qr2ZCbxZTpaVRsXVdAYB9tC4Dp5cpI5Jqy3lXcVlWsl2NWxxGuD6MFEBlYTfyjOVh+IWUumEyVEP57falbVdFNm8ZnHYT3F3oHt8Lzwh08H+wWhryZWqaIslNQ6WArVNfYhvI8OTPKVjiaPjasyiyW8cfriKk1TnYObNG1c0SSiW9A9n7/79zQWzL9zq8tG9NVPn1+SfRKEQhDxnaF3cJJ+9+xROtg7Tof7J9nfrdkTUHGF9QGL/eDf1RYBqnxdA6U5+g6xg/A1KwEejJROeJvNmdzsMikDfOdD5GKygZxsi8XErdEHxyMsVNKpFCdCaM2BlJPJwPf3OEy8KAxgMoMkGJA9dpkKuGqkk8z+Dc+HuyIOEP/Z6mzktJnZ9wpBjtg+pD1gQoRt3Q4r9bS56W0bO06xd8yVRILfMbEKR6Ms4HMp10JJYXHJtQrhfMbPcX9kxslYKdGuGOE0xCQTiT8ep4X3DxMDmdAJeubG7z9Fo/78MwVhYPjO52SBpVBZiPjOtAV/4k/91Dfgp+EJxNIlyWo28Rcht5WGzWQizJVT/BsVZ2T/quqtEsP4idvjJciu1CrHqM7heRIJdUm6XNIg28AmI/aj8RB7YbFosd5tzVSW4d1WH4yaB1tLDmlpcPKVgBPDQRbKiZQ6phDYuC+OJZoSafnoEPeYwMTiCchzFum4D4QIvK89rW46Ohggl81MFquRfAEkpaTJF4jRSwdHuEKYK8DnSiLR9hMTq8GJELkjVhbkOL4TgVjZFkoKiwOELRJtILqxSBaLcHFb30h5G9Tgogw+P3Bu4nx0WM2Zq2752Z4EoRa5/YEX6MS4amCXr/D+oSSbCBWI7sU3BO3z+4e4oyJyu2FhYDuJSdkhkAONiiiqpqiEZZvh4P+0qLwEcUdEKMdM74SioiwmSnhzzi8qw/i2TmCfqGxgAgDRDKsJFpqGIgnyOs0UTyprBwQrqtFYLIFjhmM55o/y/bkBET+GkUzJFKdIaBVvoBUZuSkR/678trCSoAkOjn+zzZ5dKAlRfOiEn6MEMQHgFJV0mo4O+tknnhsPeLokEvi8kV7TNxykE8NKdLkcZlrX00AXbemS+LYaBecLKt4Q3uisivPq9aPjNOrP/0t+oWAMYSjgvMZ/AGOjHPnwglDJPLu/n/Ydmch7OxHeQiWje/GtLbCCcsaiPIhtVL5RvYb4Vq3Jle0Eq8tny4Yp9gJofNeiXS77yTOrF1FQhoCFuwONYcq95lrrzsmWEd43iOpMK/WMVQTHC2Ibwhs2ERw3pJRgYmMymSgRTyqhbFCe7kRqagMT/DsYTZIxU+lTfnA1EWry2LMRgMhb1zr7IZFGNd0xkssOC0nylHhALTYym0QyGWVRAyGOCjfe47U99ezdR1QhHhuvQaj9sY9zAGD8v3XcV/b9wHpjnMBNXrvqvhpO8IQSufRo8iS2J0HPkYLf+7fXC9r2ni9IEx2hctG9+EbF1heMsQBjb7EZiwohDFPsYdZ8mBbNZ11itMWUqIQp53TOT/ijM4kg5VwIphkuchdXTn9+Q2YnkaGdjiUpEcOC0wT7qdXkxcTdAlNpA5nNBraQYEEqKtzpTKIERzZm4gezT5VKcyUQFW9YWAAsQH1DgexCSq0y6GChr6IfIaKm+2SnJ5FgIe0zrw9y9VurfAK3E41L7PPO+BaqE0yykJIzGYrxQmtM6Mq5iFk735HSgwknxhesUziX0ToewltsT4Keufrrjxe03Q1/fZaMGaGi0b34hgBD90Nc3oWtIgHhl7GXaJVegCptOcDHxWzRfYuNtl+zfaShagw7CcQzXylIpSgURSKJ5pVHS2yiNCcNGrhSPhlKThHe2Wp3WjUswi2whaChCAQ4hBKiHyGecXfYQ/AewZsPWxBECywqEOihWGLOJBIILggcVD6n+8DxO26XxW617fV+o3ci25Cp3OCMczktfMXGak6TzWokiwnrD9QkExVv6Vop6JVCs7xXdXpodWdD0fdHEIqJ7sW3piTh/4RAhJ1j0XYlR+wD+Kc5M3yRlTdX2qcJ79wJgfZvFtioYsOaYlRXCmCbUVYVWHhQuVdCB7YeLKhMTxO8EN6WjN8e9h9Ux2EjWd5h48c/NhhgSwiOlY0b7SBVBVcmDBSNpWgiGGW7C6rukcjcK+PniiAEstitNukdnqT/9duDHCu4WMIb4OoOrrRBbJ+5wksXb+tS530sJZnegq4pVHh3NlrpH/56e9H3RxCKje7FN77oIL7GJ6dGi5U7RxtM95OjCl+J8FUBI5EB4jrTNh67yrubWRDKed2Zhalc0M4sEg1H1YJNNLXRXi9EuSai4efmlvPogmlERVBVAAHyjn3BKPthIfK1rHD8mxuiJFMUDSVZrNstJrYUzMVcEYRAFrvVHi++MUw/+e0bNDEZrYirSVi47LRb6MItndTeKBVuQfjbbxQqvM10y9UXFH1/BKEU6F58W61KfKGKCrEHW0NWSAqnwBYRjkYzUtoIH3gquwBTK4FDjKMKDRsJqvdoJ4sKcySayHYMxP2x0CypLSTNRKzFsSATud02M9tWEmYDXXruEmr2OrhS+fuXT3DXv31HxrkCjsQVtSA1rcR7KhN1aCB6/sAwRwzOdtleiyA8OuBnu4rW7VIT4pLxXVsghvKnvz1AE5OxihDewG5TSTuYLAqC3vnsHY9RaO6ayYwgIOiWqy8sxS4JQknQvfjWvoXhS/bYzewdRla3ahG/2DtXmUA4I4nBaTXzIjUsTDVlBLR23DgSkRNKbHyIA+Ewi2S+X8bXjao1/o24RItZ2VVg8IhFEpTEgtdEin3XaNKjea7dB9FCXuWEw5YCj3m2gm4ysNcc+9XaYKd48tTUk1xwW3eLm6uhaKykdbvEIlFMBBBjKIvdaic14ZHnjnGSSKUIb9Dd7OKJrFibBL1zw/eeomC0sNH5P66VSEGhulAhyzoGnk+uPMEnHE8RllrCxqD7A5OD6jiJyrRq647KtjkTOO5xWnnhJIBXGykmHc1u6m7xUGejk1obnSzIcVWBhXYmOpFtI5qfHO9DIs2V7EQCthOVNmOxGMnjstJjzx/nBXKoQCP94WDvBFtM8JiabUVZX1TlmvehyU2NHnt2weRM4G8vvzVCDruZRb7WZh4VbyRhbFrZLIvdaoRDfT7qHwtxN9pKAeet02EWa5Oge55+rY8GJwrL1/+hRAoKVYjuK99aF8bWRjMd65/kRixaBVc4mb6CSjNSGTQvPJrfrOzysnIe9YcpEEqwdxXHs6HOQS11NjpzRROFwnF68MlD/DiqUVGagmG1EFJ19FPVcLVgU5XVIfCdDgt3smxtcPAiSlSw39nYwwIdfnFVYc9Uy3OaD8G/v7zTy3GBwVCck2yQ5Tx98Vpug5WVnV7eOBxJsI0Gdhk85/GRAG1a1TRr5RuPocUWygK5ygXvE7rYYi1AskypRfPBZbeQLxin9UsbxNok6Pqq1A9+9UZB237549vlM1eoSnQvvjXf74mxMHW3OHlBH3zKyIsOniYtQw9kE00MKhoQH3RIEvGFojQ4Fmb/9dI2L63qquOqtMtlpY5WL5kpxdGDaOmu0kkMbONApndvMqg6h2ZEN0D1z2bAlQiIfAO57CYa8UdoPBBlQf1W0kfPvjbIXS1hC4GgwoLIZEq1pYfdBC3icV9YhwZGJ2jUF+aFmP+5t5fjCbetbc1WsnMbrGgxg4g01IAtZq6YQfwt27AnkzWO8widNKVaXjlo79P+o2N8vlTCWg6cbV63lUy4ciQ53oLOKTTL+4NvX0E9rWoxviBUG7oX39x6fG0LDT/bR8eHJ7nyisWXDSZjpsK62Hu4+GidNdmjbSCqc9u4YyUWJsLigdbxe/YNsgDtanFTU4OLF7LCwoNFlhA9iP+DyE3AGoIIxUwUIYQzDnEqnuLHVqgW9ZqQxuPjigT83dxmPlNhhud7fFJ1z9SaEOHvb/b5OF8cVXbsE0T4M4Eo9Q0H6C8uWMHieCExg1pGNCYVEO+8n/EkTzSmt7YXFo/c9wk58dzAKadR1GKAc7/ObaF02sCNnd79tmVyrgi6pdBIwbPXNtPuc5cVfX8EoVzo3trMlbEDwxSOIjlDVbvRZhqCEVWpWoAtGTPdPs/tuZU8Ks0JiG8DOawmFpzHhwPcBRK+7/ZGJ1e+kUjy0JOH+DI/sNvNfF9u1Z7xeqtkFPXsuVJIOX2QB25goQ3v9dhklIKROMcGHjrhY0+3FjMIgVzvsZLFbOLHgeCG0EI7ewhv/B1+flTFIbSxqPKJl47za8mNGZyJ2WIGc+0qEE+YgKBKjp/4HbfDIiO2pcUFx//5A0O8INhlN/P5gMnjYk5g690WOnNlI7U1uGjNknr6q0tW84JfQdAjV32tMOH9to2t9Jn3bSr6/ghCOdF15VurjEFwd7a6qa3eTr1DQTp0YoIrnk1eGy+8Q5pHNQPNYcipvOEX1YVSCVnoYg3cBvEbzWk+ovmxjZlYQV8wxvfDAzVmOk+e9M+b6Wi/n/49GKF37VjKEWqwm6DjJAQ0NlNC6GRXSy2lBLGBAGkzqHbjp8rxVlodKSdKtMf5ebmdfUaAT8LfHVDZzXgsWFOw57hdE1348cqhUbpkWzdbSWATQbUa+53b4RL3ny1mcCa7ioZ0xawcXj8yRs8dGOJJFyaIE4HIlPO8XLgdKsIU4wUTVJyXKzpd0rlS0DXXfedxXquTL1tW1NOVl20sxS4JQlnRrfjOrWB2tbh4seDQKGwGCXLYLCy+jg0F2N6AywPVnjqotXBHRCAEbzAc52OgCZJsVncGiAWIZA3ITM7oTqgFifEEseUE1WGgtX2H6ITP+q2+NL113E8bljWyCEXlO5kR1cjvVj5t1ckSC89QpcaEh9vTo0KehNBWghbdKyHQw5EkW03wnqC6DSsL7CnwzkLUO+wW3t7jNGctQxDiRoORXyuq3HhfkRG+6ywn+7NhE4E4g2jGPsQy93HP4sWVrpiVDyY/T7x0gideWKfAwju5OGkmS1rdvKByeUcdL+yWhbmC3vnaT/bSWDD/b9RVHQ665i+3lmSfBKHc6FZ8T69g+gJRFovwGDtsJgpFjRSJpslqNalW6AklGKsRfM1zlZsXKaaI9TImFfz9f7IqjLg+iAKIy+led/4VySKoWmsxJZlqN4T3/qPjNB6I8XOxAI3HWYD+6c0Rrvjh0j+eH4/vC8T4eELcG/kxU5Q2KxGNGziOMBNdCHENAcUxhZwFDnGe4sWReC3JGMQ4ntNM3a12OjoQ4PcQu4jsdq3kj0dA1T+cSNFrR0bpgs0dXHmEPzu7cHIyypMJVLxnq0xKV8zqmFTj3FPCGxak8u4DxhfsTg0eO116zlI6Y0WjiG1BIKIf/ftrdKBvMu/tXFaif/jojpLskyAsBroV37kVTAi6vqEACyerxcBf2Nw5ESIwmmDRWa3CG0BUo6+kqlinCA3ElN0DKlwpk2zUH6VUAxzNmz3tcVQFXKl1xPKhwny430+jvigl07ClGLhCjgmN02bif6OS3N7UwMf5aP8k32a1ILbQkH0vYsk0Zx5j/2ADcliNLKjVBEEtroTgxnNCXCPZpNHtYFsQrl401dm5kv3AowdpzB9nX7omvLntfDzJCSu47a3jPvr542/Rzk2dLLDRhGe+kYFaOk6+dhWhPML7zd4Jfn+RJoKoSFiXyglOB0RdNtcpyxHWAYjwFgSi598YpCdfGSxo2+/8nTTREWoL3YrvKQvuEkT+YJSMJgMN+6IURRv0jPAs83d3SdA6dRpMJxc4GrkwC0E+9TXi3ybjqcJb+xtvm8n6hkgemgjT4HiYktxIx5AV31C56CbocZg5x3XUF6GWBju1YWGm00KhiBLQuC985xDxENej/ihrZvhk8VhsjUkm+bHRAp4TTpJ4j1LkN8b4PVzbU8+VaojopW0efi5U1q0G1UUTj40qOzpuuu1m7ijYOxhgv7+WTDJffzan4xRgVxFKbzXBAst9R8aobzjIV00wMSv3pHlZu4fW9jTQwGhIJmGCkAHfAf/jwdcK2vaua3cWfX8EYbHRrfjOrWDCuwyBBkEVr6AmHEWHFygauIskfkHVFp7odFqp6lyrCUf3QQRnsrgzASPETg4DFkUSP87hE5NsyzEQqt1GJcJNaoEZhHIgguc0cnUaXm8IXVSvkdeNZjvwoKOTZTptIn8wTp3NTjo+FOJt2aZiVBYOtwOpJgYKRdLUXG+nCzd3kNlk4vduRXcdmTPdLs8/s50O9qkFs/F4kqJ4HEwoTAa+ysEJNgYV84aFo3O1n5+NQuwqQmmF9y//cIiTdnCe4b0PZSIsy4nNbKDOJicLb5mECcLCs7zxOe+01EbqmCDkolvxnVvBPD4cpPEaEd6aaM79HaJVS/9Aigl0Kvywqu27gQxoq86h22obFqto137ypoz9A7pVdbk0wJ5iUpf68TccOlSw8XgAfmx4s1ERjplNvKgSAhsCGF7pFZ1erhwrsaQeA177d2xbQvt7x+mFAyOZRZRmsllN7DUPhOIUTybJY7bQn94azeZ4v9Hnyza3Wb+skc5a00L7Do+xgE+EcB9YYMwsiFARr3dZuIPm6RrpzEW+dhWhNOD8e/yl45ztHsGMEDnyPPEr31jGO26DTcps4qs9q7rrZBImCAvM8l7X46W/+fP1Rd8fQagEdCu+Ab4cL97WTT/+P/vK+mVdSqa/Cq1qnYC9I5mkaDxzj4xgtFhMKpM6GmefNyrEsH9ggeTIRETFLE7JCYcNhMhsNrKnG5sikhF2EU4pySh2TjTkxZtYQKm6UaJKrS1URDY4xLBmCUE1HP/BNoIrEv5AjLPC2aOeiWTheMRMJRzbz9bcZteWLq56Y3tsg/tifyLxFE862htdJxeGLiCZBEJb4gQXl5GJMB04Oq5y5FNo1FRe4Q1aG+zU1ezmS+t/fm4PrVpSL5MwQSCiv/1mYcJ7aaudrv/w2UXfH0GoFHTfZAeNWwZGw1TLQNyGI4kpogRea1TBYQUBEOHwRAMI7yVtHl4Umc422cmI+KSqLLpsZmr02tmb3eR1cNdLiGc8Li/YzDyvlnVst5m5uj42GcnmbvOiTLuFRTkEMLpjonoMAY1OlOeub2MhjufBTyyqbG1wcNV8ruY22P7PtvfQyq46vg8EPiYR9W4rreis4+cDkkxS/QyOqfx4XBGJJtIUipV3kQYsVRuWNfB5trq7XoS3IGT4xv/aS6FY/tt5nCb60sffVopdEgR9iW9UQ++8807auXMnbdmyha666irq7e2d9f4HDx6kq6++ms4991zasWMHXXPNNXTixImi7xfajT+8t3dKQ5laI1cG5C4+g5BGtdAXjHNUYCiMxWmoQKe5QoztXNM6fMKKgqo4xCui1FrrHeTiBZVpWtrm5ko0PNoQ4VpcIdtaDFh8Gacxf5Qr4bCbQBBDqONn/wweWQhotN7+0CWr6YMXr6Z3bl/COcm4/XTNbbTt379rJW1b28rJE2uX1NOq7vqs8NaSSXC/WloUV6ljrdhgkoWq94gP1qUYxeIqH75c4AzEXBXnnT8UF4+3DtHLWCuEW/7ns/Ta0fwjBS1Gom9fc1FJ9kkQdCe+7777brr//vvp5ptvpgceeIA/tK688kqKxU6dFo+Pj9PHPvYxstvt9M///M/0gx/8gMbGxvj+0Wi0qF/eT73Sz81mOHGvRlEdH7GwcvYFaLB7Q7ho4jwUjtP+YxM8KYEPG7nFWKiJxZm4H4T38g4vC/V1PQ1ckcZiSZfNRF1NDmr02riibDMbqaVB/Q7PuWqik2LBAjE+OKY831ioqFlGZrJ1dLe6uUKO55uzuU0iNcVCAosK4gRRLcfiyshpBH8tUIljrdhgkvWbp4/SL548RI8817coDXRwymBiiXN5Wbt3xvNXqG30MNYK4ZYfP0uHTgQK2vb710ukoKAPSu75xgfRfffdR9dddx3t2rWLb7vjjju4WvDwww/TZZddNuX+jzzyCIVCIfr617/OH1Tgtttu421feOEFrhgUA1RIkU8NQaei8WoPbfElfM+ne4lpramNUcX7IUv7jOUNZDGb2DsNwYqIPghcVJpRLYeX+qItXbz9ky+foKGJELeAx2JLLD5r9FrJxgs9IaTTbGfBtqg+X3J2N8ViqXkvVCy0uY2ekkkqdawVW3gjIhKTNqw7GBovr2UMZyky6N1OZWF6787lPEGspQmccHr0MNYK4T/3HKZDA4UJ73uuV8dREPRAycX3/v37KRgMTvlw8Xq9tGHDBtq7d+8pH1K4HyoK2gcUgJUB+P3+ou1X71CAL1vD8wxvczhae9YTTW/Pd24BXzQqyCZuOw9bRow2LG/kqjWEKwQPNAa6ga7urqMLzlRNagAsHoAjBCPxjBhRTX24s2QsyZ5rJISg6oyOk6hoz5eFNLfRSzJJpY61YnevxHmI9/O5/UPZPP5ygMmp12nJrEtw05+dvYRaG5zl2wGhYqj1sVYIsWSSfvb44YK2/fR7N2TjYgVBD5RcfA8MDPDPjo6OKbe3trZm/5ZLd3c3/5fLPffcwx9a27dvX9C+oFKW7YR3wsfiFBVaVHUFRTyBCrKJG+0EInGugNe5rdwxkBdtZprJnL+pk3raPNntzGSkXVu76cToG9Q7HGDBrWEgA3lcFhYsqFr7gzGKI7kk837Ml+0b2mg8EKWBsTA1eG3ZtJNxf5StMGevb+PJw2y0V1mVW3UgPfmzGsfaQl9TLsPc0CnENqeDfT4+D8qBSsZBkye1GBhRglvXtlLXIp9PCzmWQm2Mtbk+Q8t9fhQaKXj2mibasbGTKhkZa8VDjmWZxHc4rL4grVbrlNttNhv5fL7Tbg9/3E9+8hO68cYbqbGxseD9QBpBQ4P6soTXOBxLUb3HTgMjwbI346hUuNk8OkEaVLWafa1mE9ntFu5miX+bscgMVehWLzVMq/oF2EaClvDoLKna0ec287HZzGQwGcnltFJbi+eU7U8H3r86r4OefuUE9Q0FKBiNcXTg+hVNdN7GDk5oqUW8XkfVjrWFvqZcfJEkkcFIx4YDdODYBJWDOreFPvNft5DHYeWseixCboHNJGdyudgUciyF6h9r8xln5To/3n/9LwvabmmHi770yQuoWpCxVjy8Oj+WJRff2mU2eORyL7lhkYnDMfvBh5Xg29/+Nn33u9+lT3/60/SRj3xkQfsB37PfH+J/Dw4HKBiK8gpDCEwITS0WT8+w8QYLLxMpSkB4hxPUPxygIycS3OBGxRMmOdpvaGSSrIaTxwxXE3737FF+AEQBwouLHHBcWsWCT2x/+PgEC5jlnV4yU4rGx4Oz70s6zW3iNZsIqp0Q9W6rkS7Z2jXj3+Z6vGoElQF8QPn9YV6oOh38Lbd6UIljLd/XNBexSIwCoSgdODJO5aLeZaVml5UFtyJNPt/Mr63cLORYCtU/1uYaZ/N5TcXiM7c/irYRedPeaKGbP7GjKj63Zawt3lirVUouvrXLckNDQ9TT05O9Hb+vXbt2xm3i8TjdcMMN9Otf/5p//s3f/E1R9gVt0IHFaOAKL+wmyJD2h2Icryco0BESIhwdA9/omyCn1UxOu2rGA7ELD/nDzxybkvAA//zx4QA1emxkanCy2ObFkVZUwVH5NnAm8+puK21e2UypZJpSs1xzwKK67ALJRIoXSMLvrXWxBA1uW/b+cz1WLYAPKO3crbaxttDXlAsW6vajcVKZ3moUt9EZNRiKTznfKo1CjqVQG2NtPvtayvPj777zewpE8h+QXoeR/vHqnVV33spYKx5JnR/Lkk8v1q1bR263m5555pnsbVhgsm/fvlm9btdffz39x3/8B33jG98omhjIBQumGrz2bOXUjRQOqi3UckciO0cE5is40PjGSnbE98WTFImpqjdi1dYsaaCVnd4pTW0AjiWEMnzYaLiDBjfI5UaWOO6L7RFbuH1925wJI1qaBRZWIgqwvdHJP/E7bsffheoZa8XM9P7Dn/ppIlBA144CgcXEbrNIEyZBN2MtH+791Ss0Ecx/vRRs6t/6b5JsIuibkle+4Ym74oor6Pbbb2dvW1dXF0cstbe30+7duymZTHLeqcfj4ct3Dz74IP3mN7/hD6pzzjmHhoeHs4+l3WehwKKwZVUTvXpolBf/QRzWWt0Udhr8h9elUj3m9wpxtQdCGZtATEN4YBEjsowxadEmKblNbRC1lhsF6MpUKVcvqedFmlrreDxuzxwJJ7lpFrC2aIkmWKSJx0dKCgQ/ki5qLamkVsfaQsm9CvJm34RqI18GIBBQ9V7eMXOCjqBvanGs5cPhAR899drJ15AP3/v824u+P4JQbZTFWINOXh/4wAd4ccmHPvQhMplMdO+995LFYqH+/n664IIL+IMJ4JIcQB4qbs/9T7tPMVi/rJHOXNnEjWRC0UXo0lFitHbwqH/Xu9H0Zn5iFRYsLORBBRv6VmtKA9FjmKOpjRYFiC6W2fbxdLIjJu53um6SEPIQWRD28+liKVTHWCuU3KsgaJCESVk5wAQU+fRLWmF1apWJnlDzYy0fUCS5+cfPF7TtTZ84R8aTIEDTpDWlpAN/0djYVMtC7/Ak/eM/PUfRRG0dAq3ODQtJS72dvC4bjfsjNOI/fSc1k0EJDwgQfMiaDEaKJVPU1eKiDcsaswI8nBFD79u5givfmlh69IU+Pp5uu4mb8mjRhLCOnK4LIBJMHnrqMFtNZkqTwEQASTXvOX95XhnhpwOvsxIzwBEjhjQDLEiayRvX2OiqyIUpM421+b6m3PcEXSwhvPFWvHZknEKR8kSCwh61ZVUzvXvHsopuwjTfYynU5liba5yV8vwoNFLwU+87g85Z20bViIw1fY+1qrSdVDKBUIxiNSS8oVe1ttdIb4GI0F4nGglZzYYpr3cmMwpCX/AYWEmfpDQlkugoaeLKIywkqGTP1tQGQmX3OT207+g4Heqb4IzwfLpJFtrFciHMZ3GnUH60qyBYqPva4XE+/0qJx2nm1CN86P/FBctpx8aOipiACUIl8YkChffbzmipWuEtCKVA1+L7zT7VaKdW0ES3BoQk7Bp2m5mtJ9FEiiYmYxyxCEtKegYRjn9rIjSdTLMYMRuVxQTiF3pEq2RDUE8XKGg8smFlC715dJRTIvKpJC+ki+VCW5XD0qI17cHzj/kjp63UC6UDVyHwXgyNhbljaikSTnCVB1WYziYnLWl109hkjFYvqRPhLQgz8Lk7Hy/o+7Kt3kJX/pczS7BHglC96Fp8lyuyrBSiYXosubZQEjdDN0BIQnBDRKC1OywdqFwbUM3O2RYSA81wtLhN/AmPk4olyGQyUEudnW8LheM0EYhyAsTpKtmwjCAXOd94NuwrKs4QvlhcCUEMb3mudWUmwV8IsrizsvEFY1z5RjxlKcYp3lE0fkLUaHuTi9d9NNfZaZt4vAXhFP7hu4+RL5T/QMQ1yls/tbMk+yQI1YyuxXd7tnFGdQBJAEFsgBfbRBTLuRKP35MJInRXb2uwk8ViZrENIQlv4EQgQomkEum5sFjPCHa4/x1WIyeTxJNKhA+MhfjvrQ1O2rm5k5a2qcpzqQQKBD0qzlkryGQ0L+vKfMlncafmaRfKA477Ey8dp5GJSMkmyDin6j1WzqUHxT6/BKFWuOZbTxSU5Q1+8PcXF31/BKEW0LX4Nlmqz9QP8RxD6EMqEyeYEc6JhBLSNrOJhbfbYWbxMuyLsH9b++jE+gZVJT/5mLgNfnEIe6S/aEtwkQ+O2/GrPxyjZ18fYltIqSuDEECoOJdyEWRuLvlMcJrLZDSb5iKUB1yRgPB+o3ec4kXuOouzB6k/dquZ3nPBMtq4vIli8VRFLbIVhEriS/fuoUCksM/A+0R4C8KsmPX8Jf/SwREWl9VgP2FZwNnb6WylG5fN01gYmSaymo0sLHAZfTIU58v1qGDDZnLKokoI98y/09OyjaOpk7eZTSZyOszktlvYf4uK5PNvDFF707KiWT9mE9j4WcqK82Is7hROz4gvTK8fLc0CSywcxnnV1eKmTSua5YqGIMzBWDhMvcOzt6+fix9+QbK8BWEudCu+0THvcP8kVQtcheb4PQO57GZau7SBBTaaBKFDZzCa4HQRtZgyxaKSu1Xib5EEpTKiWptsTBfkqHYjCYWtLUblfYYH1oInziSohKIJOto/WRQrxmKnjJR7cacwv4nYa4dGacwXpmJfcPA4zNTotZEvGOdFwfK+CsLcXPftpwva7saPbpWrSIJwGnQrviFcJ0OxrMWi0oFfGyVugyHNix7RfQ/VWa/TwokNBqOBxbc/FGfrCCreWpN5CEvUvyGq8Xq11vNGrNzku6X5wxIVcQhPVAibILxzLBla7iZE/UKtGJWQMlLOxZ3C/Cdi+HcoVtwcXTUJtVA4qmxGm1c1yfsqCCXI8j57bTOt6Kgv+v4IQq2hW/ENMYqKa5VobxbO8GZDPAdCcfIH47wgUhPF8GvbrCa2oeS+Lm1ywWLbYKAEyt4GlXCCii9EL6WVQDca01whh7iHEM0FizYBxMtCrBiVlDJSrsWdwvwmYvUeG0+Iiw3eU+SFAzSKQndbQRBm5uqvFSa8V3e76DPv21T0/RGEWkS34htNZ051Q1cuvLgys8ASrd7H/GG2gkAUo/KdTKZZGDfXOejN4xMUikAsw4KCbpNmjlKDBzxT6OaKNxZiYhuTwUAel5WtLQOjYUok0lwBz1ox0sSWE5PRSEs7FmbFqLSUkXIs7hTmNxEbHA9y1naxq97LOzxsn0KyyUVbuuS9FYRZ+PRtv5sSRTtfnBaiG644txS7JAg1iW7FdzCsfNCVjsrhNpDNYiQDkkgynuRAOMHWCIhit9FAkWiS6jxW6m5xUjgapyMDkywy0F4eVWwInOHxMKWSasqRzogfCG109kO13GgwcvUct/sCcfaLw7DCnvE00ZJW14JzkCsxZaTUizuF00/EUPF+9dB40Z+j3m2lBo+dJ1lyNUMQZudvv/kYRQv82L3rWkk2EYR80KX4hrg82OejqoB1bibRxIq3S9lKUP1GE5tILMFxghDirfVO9nsjBcXrsnJUWyiSyApMB1rDhxPK/50R0Fi86XVauUI4HoiR22FlkX18JMiLOfH8SDtZ21PPVcOFihdJGRGmT8QQ93fwuI+vzhQTxG1e9rbltHF5o1zNEIQ5uOlHeygUK+xKsEQKCkL+mPVacRueCHO0Hi9krBBgS0XlGR0peWFkpvENCvR2i4nq3FYWK74ALs2nKZZIcifJukxaSCgSp3jCSOuWNtAl25bQ60fH6JVDo7y4lP3hRgPVuS0UjakKOi7D4/nwN66cu6ws4juaXfSeC5bT8HiEn6etycl2lmKIF0kZETTw/sOLfajfz+OxmNS7LBwpuKqrTq5qCMIc7Nl3nI4MFhYpKMJbEArDrNeKGyqsRqw6pPKob25WM0PEXy4QwtCiyOzmVvHwehhV1RrCmyvGsSR5XRY6c2UT7djYQU6rmeq9NprwR0/xLDfX28kfjNKYM0ouu5Ua3FYW7K8eGuP9QPU8oYlyj5U6Gp1cNR8YDZHZaOTnKP5xkJQRQYHzFOfbiZHAlKZPCxljOG3q3TZavaSeLxrJFRRBmJ2+4QDd89CBgra95/pdRd8fQdALuhTf+EKG9QRV5HKi6UlIfuhqVP3MGUENYY6Kt8tmynhg4xSOJnhxJCIBcWk+FMH90rSsw0M7N021gEyv7mlNhCBq1vU0ZCvMsJKw/SSdJpfTTEua3SzqYQHBfSD6S+25lpQRQaN3cLJowhvjCXarM5Y18joFuYIiCLOD74gv3vtsQdt+5n0buEAjCEJh6FJ8o1LMlo4yPBeeB/YWRAImOAJQZW47rGbatLKRF0zuPzrOnSshwIPRJMUSEbJZ0SLewpVqpJLgfh6nhYX0fLzXs6WKoNKI/yBWYjFlV0EGcrk915IyItz/2wN0dCi44McxaVeHXHZa1e1l4S1XUARhbv72G48VtN1Zqxro7LXtRd8fQdATuhTfsGggegx2iwRWMpYQJIkAVK5VG3tkc6MNvI2rzIdO+Lnyp10yN2b2KRGJk9tuIpvFzJaTXZs7acPyRq5wz0dQzJYqgqo3hMlEIMrPl/v6y+25lpQR/bJ3/yA9/uKJBT8Od2O1mrmKV+9Wk0i5giIIc3P93b+nzFr8vGitt9FnP3BWKXZJEHSFLsU3hGkwrDpBlhJIZFSRNTuH8pkb2NONf7953McVb5fdxEkPyOpmrzc2RjOdcJKa6izkcVjo2FCA1vQ0zLuSN1uqCLbGgkdEu4Uz2d/avonnWigHh/t9dN+v9mUmowtjw9IGvprU1eKiHWe0c+dXuYIiCLPzzQf20og/f+Xd6DLRVz91fkn2SRD0hi7Ft9lioIGxhV/uPh3QFhDaLgca2BjIF4xRPKH83fB0o1qHyrSWaqJpEUM2h5t40SUSTZDTnU/nx7lSRRDBVue2UZ0ble8UDY6FxHMtlAVEWP7iiUNsr1ooTV4bWa0m8jistHNTp5y3gnAavvDdJ2nYFy9o29s/e1HR90cQ9IouxbfPH6VgOFmW6EDYOgLhGDf6QMMPVJdRcU+kUqrTJKUpHFUVeHjDkcCixHha2U9SaRoYD1F3syuvzo+nSxVprXfQxdu6OcJQPNdCOcBk8/n9Q3R00L/gx8Jp2trgpGXtXpkwCsI8+NIP9xQsvCVSUBCKiy7FN6rO5VhsCYsJKsrxZIoFeKNXCfBRf5Sr2hAjiPsD6GCJ+6kF5AYW39jeYTNRIBRnXzg83PmkkEiqiFBJYOKIWEHk0S+Ujcsa6f9655qi5c8LQi2zZ98J6h2RLG9BqBR0Kb4hessBnoUFtcHAohnRgWjnXueykcdp5gSTUV+UjAaVOoJKt9o1eL+VIEeLd0QMYttCUkgkVUSoFHD+jfgiNBkqYKVXBpy1DV4b7T5nCXd0FQRhbnCV9Z6H9he07V3X7iz6/giCoFPx3dpUni9thApC5MJXDWENu0mjx0omo+pCCWH8s0cPsg3EaMB9lVjHlkhiqffYKJVJQglG4rRmSX1BKSSSKiJUAlaLkcYnF9bJEokm29a00PpljUXbL0GoZT7+j78raLvzN7aS03IyhlYQhOKhS/Fdjq53EMwQzpFYQpXrkHxiMvDCRyygzLV9PPDowWzLeADhDY82khv8wThZzAZuBS8pJEJVYyAanogVuil1tzhpRWcd59zLOBCE0/NXN/yyoO0QKfiJyzYWfX8EQdCx+B6cKMz7lg+wj0Af2K1mbpSDJjuwjljNJtq0sjkrvCGom+rs9G+/P5zpPqkWRcKXjkv0SEPZsKxxXo11BKGS+e8/3FPwwuVVS+po4/ImWasgCPPk6z99lkIFzHXrnEaJFBSEEqNL8f3cvqGSPj731UFbeM70NpDHaafOZjd5naq5zfGRAG1a1ZSt3vW0eugDu1aeXBiZSHF8GhZobl7VxJfYpdInVDM3fO+PFC/A6o0EoA9esponrLJWQRDmx80/2kOHB/MvMqElxB3X7CrJPgmCUGbxnUql6K677qJ/+Zd/ocnJSdq+fTt98YtfpCVLlsx4//Hxcbrlllvo97//Pds03v3ud9P1119PDkdxfMujExEqNloLebSCh78bwttgNJDHZeM4NLSGB7h9pshAWRgp1CojoRANFjDm0L1y19Zu/k/GgSDMj//vn54tSHhbDETfvU6STQShHHCwXam5++676f7776ebb76ZHnjgARbjV155JcViM18Tu+aaa+jo0aP04x//mL797W/TE088QV/+8peLtj+I71toZRvCAEAS4N+pjFfb47KS02Zijzb+W9F5UngDZG3PFhmoLYzsbnXPu428IOSCsXXnnXfSzp07acuWLXTVVVdRb2/vrPfHRPfaa6/lCfE555xDX/nKVygcXtiiyOl87UfP570Nzvyta1ppl/i7hQqlEsfaf+49Qm/1Bwra9vtfEOEtCDUjviGw77vvPhbUu3btonXr1tEdd9xBAwMD9PDDD59y/xdffJGeffZZ+trXvkZnnHEG7dixg2666Sb65S9/SYODg0XZpwZX4QV/LH6ED9tiNpHNAkuJhTqandTgstL6pQ20vqee6txW9nvzokn71NXi8HMXEhkoCNU40Y0lkzQ6mX+u99u3ddFfXLBc/N1CxVKJY+1njx4qaNt7rheriSDUlPjev38/BYNBFtEaXq+XNmzYQHv37j3l/s899xy1tLTQypUrs7ehSgD7yfPP519Bm4kTY4VVG1DhrnfbyOuyUlezizavamGBHYulyGIxkddlIwdMcwYDN9Fpa3BqQScMGucgVhCCopDIQEGotonunldP5L3NZTuW0IffsUaEt1CxVOJYe7qAsQY+874NZFbd3QRBqBXPNz6MQEdHx5TbW1tbs3/LBR9E0+9rtVqpvr6e+vv7F7QvZhiziah3OJj3tihUd7R4aEWHh6veDruZhbXbYaEDxybIbDJwF0vYSs5c0UTjgRgFIwmyWlEhN1EUbd39URbuZ69v4/vVIvC95/4UyncsTzfRveyyy/Ka6L7rXe9a8Fh74sX8xuyabi/95SVrC35ePSFjrXhU61jTxhn4/Yv5i++tqxvpvDM6C3puPSFjrXjIsSyT+NY8bRDQudhsNvL5fDPef/p9tftHo9GC9wMLHRsaVCXNYMCbrtq6zwfo5Pe/Yy2LZ8QBejwWsllN7NuOJNJ05qpmetvmTmrw2LnyjRzv48MBevqVE9Q3FKBgNEZWs5HWr2ii8zZ20JI2D9U6Xq809Sn3sayUiW7uWIvjEtA88ThNdNt/28XbC/NHxpo+x1ruOAPxPBs3N3st9JVPSQfLfJCxVjy8Oj+WJRffdrs9e5lO+zeAkJ4pvQT3mckzh/s7nYV3pkQKid+vVoAvaXXQ60cn57UddMC5Z7TTO8/upv7RED2/fygbBwjvNuwnW9e28k9Fmny+ELmtRrpkaxeN5qSXIM8bi8fGx/OvvFcLmM1iUPn9YUpyt06hVMcSf8utHlTKRDd3rPW0uqhvaH7n+3Uf3spjR5gfMtb0PdZyxxnoaXFR3+D8xprbYaJvXnNRTX8XFRMZa4s31mqVkotvbbY/NDREPT092dvx+9q1p15ebm9vp0ceeWTKbRDjExMTXFVYCImEeqM/8d6NdN23n57XNoj/2729h1LJNLXVO+jSc3tmjAPUHns6DW5b9t94jFSmi2Wtg0E12zERSnMsK2WiC7T9/cs/W01/fPX0ufpv29BMS5o9cs4UgIw1/Y613H2d71jbuMxNf/fBc+ScKQAZa8UjqfNjWfLpBRaiuN1ueuaZZ7K3+f1+2rdvH0cuTQe34bIdVoVrYKEK2LZtW1H2qdHh4CrB6ehqdtIHLlpF3S3u7G0SByhUKrkT3Vzwe1tb24wT3en3LdZEV8Nrs9HGZQ1z3qfZY6Ur37OpKM8nCOWgWsfa+h4vC29BEGpcfONS2xVXXEG33347Pfroo7xQ5XOf+xx/GO3evZuSySQNDw9TJKKacGzevJm2bt3K93n55Zdpz5493JDnve9974wfaoXy5U+cO6sAh9XkgjPb6ZN/sZG2rG4u2nMKgt4muuDvPnjWrKJgw7J6+vr/fUHRnksQykE1jjXc/vkPn1205xIEocI7XCKOKZFI0I033sgiGx9E9957L1ksFurr66NLLrmEbr31Vrr88st59Te6YaIBwUc/+lH2xF166aV0ww03FH2/IMDHwmH6p1/tp6GJMNktZtp9Xhet7Gig5jqpagvVRe5Et7Gxkbq6uui2226bMtEdGxsjj8fDl8FzJ7rIGw6FQiWZ6GqiwB+N0s9/9xaNT8aowWOl91+8kqt1glBtyFgTBGEhGNIIn9aJv2hsLDhrXBNWjWPxiZ49SMVAjmX5jmVjo+uUhSn40v/mN79JDz74YHaiiy/57u7uUya6YHR0lCe6Tz755JSJLv5dKDLWyoMcS32PtbnG2XxekzB/5Fgu7lirRUR8y8AqKnIsi0e1fkjJWCsPciz1PdZEfJcPOZb6HmuloPZfoSAIgiAIgiBUCLqpfONlIhd1NjDTkvzO4iDHsjzHEk02sEai0pCxVj7kWOp3rJ1unAE5P4qHHEv9jrVSoBvxLQiCIAiCIAiLjdhOBEEQBEEQBKFMiPgWBEEQBEEQhDIh4lsQBEEQBEEQyoSIb0EQBEEQBEEoEyK+BUEQBEEQkyY45wAABYpJREFUBKFMiPgWBEEQBEEQhDIh4lsQBEEQBEEQyoSIb0EQBEEQBEEoEyK+BUEQBEEQBKFMiPgWBEEQBEEQhDIh4lsQBEEQBEEQyoSIb0EQBEEQBEEoEyK+BUEQBEEQBKFM6EJ8p1IpuvPOO2nnzp20ZcsWuuqqq6i3t3fW+4+Pj9O1115L27dvp3POOYe+8pWvUDgcLus+18qxfOihh2jt2rWn/NfX11fW/a50vv/979NHPvKROe9TDeeljLXiIWOtNMhYq9zXtFjIWCsNtTLWSkJaB3znO99Jn3vuuenHHnss/frrr6c//vGPp3fv3p2ORqMz3v+KK65Iv//970+/+uqr6T/+8Y/pt7/97enrr7++7PtdC8fy61//Oh/PoaGhKf8lEomy73ul8pOf/CS9bt06Pk5zUQ3npYy14iFjrfjIWKvs17RYyFgrPrU01kpBzYtvDJ6zzjor/dOf/jR7m8/nS2/atCn9q1/96pT7v/DCC+k1a9ak33zzzextTz75ZHrt2rXpgYGBtJ7J91iCK6+8Mn3zzTeXcS+rB5xPn/zkJ9NbtmxJX3rppXN+SFXDeSljrXjIWCsuMtYq/zUtFjLWikutjbVSUfO2k/3791MwGKQdO3Zkb/N6vbRhwwbau3fvKfd/7rnnqKWlhVauXJm9DZdCDAYDPf/886Rn8j2W4MCBA1OOpXCS1157jSwWC1/C3Lx585z3rYbzUsZa8ZCxVlxkrFX+a1osZKwVl1oba6XCTDXOwMAA/+zo6Jhye2tra/ZvuQwODp5yX6vVSvX19dTf3096Jt9j6fP5+HhigN1///3s7dq0aRN9/vOfp+XLl5Peufjii/m/+VAN56WMteIhY624yFir/Ne0WMhYKy61NtZKRc1XvjXjPt7QXGw2G0Wj0RnvP/2+c91fT+R7LA8ePMg/YW+69dZb6Vvf+hbf78Mf/jCNjIyUaa9rg2o4L2WsFQ8Za4tHNZyXMtaKh4y1xSOs4/Oy5ivfdrudf8Zisey/Ad5Yh8Mx4/1x3+ng/k6nk/RMvsfy7LPPpqeffpoaGhr4MhK46667aNeuXfTggw/S1VdfXca9r26q4byUsVY8ZKwtHtVwXspYKx4y1hYPu47Py5qvfGuXNIaGhqbcjt/b2tpOuX97e/sp98XJMTExwZeh9Ey+xxI0NjZmP6AAPsy6u7v5cpMwf6rhvJSxVjxkrC0e1XBeylgrHjLWFo92HZ+XNS++161bR263m5555pnsbX6/n/bt28e5ktPBbfB5HT16NHvbs88+yz+3bdtGeibfY/mzn/2Mzj33XAqFQtnbAoEAHTlyhFatWlW2/a4FquG8lLFWPGSsLR7VcF7KWCseMtYWj+06Pi9rXnzDT3TFFVfQ7bffTo8++iivbP7c5z7HM67du3dTMpmk4eFhikQifH+szt26dSvf5+WXX6Y9e/bQF7/4RXrve9876yxYL+R7LC+88EJuXnD99dezT+6VV16hz372s1w1uPzyyxf75VQ01XheylgrHjLWykc1npcy1oqHjLXyIedlDmkdgOB7hOKfd955nD151VVXpXt7e/lv+ImcyZ///OfZ+4+MjKQ/+9nP8n0RvP+lL30pHYlEFvEVVO+xRHD+xz72sfS2bdvSW7du5eN64sSJRXwFlckXvvCFKXmo1XpeylgrHjLWSoOMtcp9TYuFjLXSUCtjrRQY8H+5YlwQBEEQBEEQhNJQ87YTQRAEQRAEQagURHwLgiAIgiAIQpkQ8S0IgiAIgiAIZULEtyAIgiAIgiCUCRHfgiAIgiAIglAmRHwLgiAIgiAIQpkQ8S0IgiAIgiAIZULEtyAIgiAIgiCUCRHfgiAIgiAIglAmRHwLgiAIgiAIQpkQ8S0IgiAIgiAIVB7+f6aCGbHQNOGzAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "size = 2000\n",
    "correls = [0.0, 0.2, 0.5, 0.8, 0.99, 1]\n",
    "samples = [gaussian_copula(size, 2, rho) for rho in correls]\n",
    "fig, ax = plt.subplots(ncols=3, nrows=2, figsize=(8, 6))\n",
    "\n",
    "for i, rho in enumerate(correls):\n",
    "    plt.sca(ax[i // 3, i % 3])\n",
    "    plt.scatter(samples[i][0], samples[i][1], alpha=0.5)\n",
    "    plt.title(f\"Gaussian Copula Samples with ρ={rho}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe0bf92f-95e7-4698-ad77-178ca006f18c",
   "metadata": {},
   "source": [
    "On revient maintenant au problème des instants de défaut dont on rappelle que $\\tau_i \\sim \\mathcal{E}(\\lambda_i)$. On s'intéresse à la variable aléatoire \n",
    "\n",
    "$$\n",
    "    X = \\sum_{i = 1}^n \\mathbf{1}_{\\tau_i \\le 1}.\n",
    "$$\n",
    "\n",
    "C'est donc une **variable aléatoire discrète** à valeurs dans $\\{0,\\dots,n \\}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7105f783-f2d3-4cc7-ac33-42e6c139dda6",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation des instants de défaut\n",
    "\n",
    "Ecrire une fonction (avec les arguments adhoc) pour simuler un échantillon de $X$.  \n",
    "On utilise dans la suite $n =20$ instants de défaut et $\\lambda_i = 0.4$ pour tout $i \\in \\{1,\\dots,n\\}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "f4b00f95-8a30-47c7-adef-9ef2af797597",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6.5966 4.32846844\n",
      "6.5935990792872134\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x15542b56d50>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def exponential_from_def_vect(size: int, n: int=2, lambd: float=0.4):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: first implementation of sum of independent Bernoulli trials.\n",
    "    \"\"\"\n",
    "    return (rng.random((size , n)) < (1 - np.exp(-lambd))).sum(axis=1)\n",
    "\n",
    "n, lambd = 20, 0.4\n",
    "size = 10000\n",
    "p = 1 - np.exp(-lambd)\n",
    "sample = exponential_from_def_vect(size=size, n=n, lambd=lambd)\n",
    "empirical_prop = np.bincount(sample, minlength=n+1) / 10000\n",
    "print(np.mean(sample), np.var(sample))\n",
    "print(20 * (1 - np.exp(-lambd)))\n",
    "\n",
    "support = np.arange(n+1)\n",
    "fig, ax = plt.subplots(layout=\"tight\")\n",
    "ax.bar(support, empirical_prop, label='Empirical proportion')\n",
    "ax.vlines(support, 0, stats.binom.pmf(support, n, p), color='C1', lw=2, alpha=1)\n",
    "ax.scatter(support, stats.binom.pmf(support, n, p), color='C1', lw=2, alpha=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff4e517e-9a61-4de3-a094-effb296b8a4e",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: création d'un ensemble de scénarios `samples`\n",
    "\n",
    "Créer un vecteur `rhos` de taille 4 avec les valeurs $(0,0.2,0.6,0.8)$ et créer une matrice `samples` de 4 lignes et 20000 colonnes, dont chaque ligne sera remplie par des simulations de $X$ pour une valeur de `rho` donnée.\n",
    "Remplir cette matrice avec réalisations de $X$. Il faut que les éléments de la matrice `sample` soit de type entier `np.int64`.\n",
    "\n",
    "Cette matrice sera utilisée dans la suite pour le calcul de la moyenne et le tracé des histogrammes.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "6b1ef28a-6110-406f-a248-d6e5759c06d8",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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tttvU+YdS5voEqSlRooo7ORTbozEyDjbcNWMaTnBkDrirwJ2G3sBXzxjQQBwZGapVUEWkP20Dd6g42HHAoTE2XmhDg0zJv4EzDgg0pEYPPhzA+J9oAI4hKJDx6gcwGo+jZyra1OAkQHrcgaFKKxiWDSUJKBHAwYa7Gvx/HDi1tZuKFDJYFNHj4oIhPlCVgZMH01ANgNIClGIAtiUyKlwg0Lgd7WawDVBVgqJ+/8GsUfWH0hBkVvgbd1foMIB2QIBtid+i0wJKbnBCYzDhcFDqhX2AO1xkmHjh7ly/Qwy3LdDmBtWFWGbsW2Q8KCVDetwlYz+jlAClHNH+D6NwXOJCi8wQHRNwfGFbhfI///M/KmDAPkAbNlz4cQFHtZLekxgXPkzDxQTVo7gAI6NApul/RxwM+xrtylDFq1dN6W0DcdHRM6xQsK9xDiFjDNXLNpqhkHD+4HjHftGPMyMDpONu//rrr1fHFC6mOKewHXCO+TfmR7sxBKJ6W0RsP2wrlMbhhdIHXMAQ0GDg9lTFfDRyzEeZj6Z6Pjpnzhz56quv1DmAfY4aBB2CZNwsGJH0gSogQ8NBg+EmcILgDhZtPNCAGm2YcPek92jFQYUGv9gZuIvAgYppyPiwk3GHioMRQ69gx+CkQGNhfXgK/5MDmTSGv8ABj6ocnETI4HESA/4vfouDGAcRDircBeICiUw5GP4nqnrQSQHtwdC2CmPNoSoBGS0Onvo87QT/Exk4Oiag1yCeRIPMG9sJJzAak+ME1KtIkOmiwTl6z+IOCndh/j00dSj9wHIhI8HvceCjekiHzA4HOi4+2BbIJHCghwsMEDRgOVGNiG2Jagqc2HgqCh53iQw6uCG5DvvpL3/5i9pvyDyxD/UTBz1E9c4h9fkfRiDDx/A7WA60acIxGu5pHyjtw3LjWNSHbcFFHMeqnkFgWbE+uNDhGMF6YDn1C2M4OKZxHGEZ9PZeOO4xDe+1tRPDxRaZq36xDdUu0OhFB8cg1hNVVFj2aHqK4vzDcYdqYFy49G3lv32xj3HcofexDv8Xw+Bg36PEB9sE53EqP5UKmI9Ghvko89FUz0eXL1+u3nGTH/zoYr3DpREWjPpveMmJIoSTG3ehuPDTWTh5kYH4B0ipDkP1IHNF1Vmkw/sQpQLmo6ExH02NfDTp26gSERERUWJioEpEREREpsSqfyIiIiIyJZaoEhEREZEpMVAlIiIiIlNioEpEREREpsRAlYiIiIhMKSkH/Ef/MK+3/n3ErFZLg8wnkaTiOqfqeqfiOjfUemMejf3M7nhjPhq9VFxn4HqnDmsM89GkDFSx8U6cKKvXPOx2qzRtmiUlJeXidtf/ecSJIBXXOVXXOxXXuSHXu1mzLLHZkjtQZT4anVRcZ+B6p85622Ocj7Lqn4iIiIhMiYEqEREREZkSA1UiIiIiMiUGqlQvmuYVrbpKvRMRERE1pKTsTEWNz3N8v7i++FDcXxaJuF0idqfY2/cRZ49hYjunXbwXj4iIiJIAA1UyrHrPOqn8ZIGI5jk70e0S9+7PxL1nnaQPGiuOCy6L5yISERFREmDVPxkuSa0RpPrTPOp7pCOi0Lxer8yZM0cGDhwovXr1krFjx8qBAwfCpt+9e7eMGzdO+vXrJ/3795cJEybIt99+G5Bm8eLFMnjwYOnRo4f84he/kG3btsVgTYiIGhcDVTIE1f1hg1Sd5hHX1g99A/pizDX9ZbOJ2LRq9e4/HemIUsXcuXNlyZIlMm3aNHnttddU4DpmzBhxuVw10p48eVLuuOMOSU9Plz/96U+yYMECOXHihEpfVVWl0rz11lvy9NNPy8SJE+XNN9+Utm3bqt8gHZlPcL4Y7sV8kYhV/2QAOkypNqkRcO8rEsugMZKXhwF9rVJ15CspXr9MynasVZ2vLI40yerSX5r0Gy5p+eeLx+OVU6fKU+7pHpR6EIwuWrRI7r33XikoKFDTZs+erUpXly9fLtdcc01A+o8++kjKy8tVIIpgFWbMmKF+u3nzZlXC+sILL8jIkSPl2muvVd8/+eSTMmTIEFm6dKn86le/isNaUjgIPvPyMlW+WBfmi0QMVMkId/WZjlMRpXWJ1etWmfFr8/4ovb9bJjY5OzIAgtXTW1dJ8dZPZVPz4XLzr0al5GPoKPXs2LFDysrKVICpy83Nla5du0pRUVGNQBXpUAKrB6lgtZ4JckpKSuT48ePy1VdfBczPbrfLpZdequbHQNVckM8hX5y5eJMcPFIaNl3b/By599bezBcp5TFQpcjZHap3f0TBKtLZHaokNThI9Yfp+L7qyBUizhYNv8xEJnP48GH13rp164DpLVu29H3nD9X4ePmbP3++Clz79Okjhw4dCjs/BMX1gern+tBLDSMpPUwWda2zPh1B6t5viiOen9ml4r5O1fW2xXidGahSxCwWqzg69JHqXZ/VmdbRoa9Kj+r+cEGqDt8Xb1gmjstHN+DSEplTRUWFenc6nQHT09LSpLi47sAF7VRfffVVmTp1qjRr1kz27dsXdn56G9ZooCQPz/NuCLm5GZJqGmqdE23bJdryNpRUXO/cGK0zA1UydOFqPuA6ObRnnYi3lg5VVps0H/AzqRRNtUmNRNn2tdJkwO0Nt7BEJqVX4aOtqn91PoLKjIzwGb+mafLMM8/I888/L7/+9a/ll7/8ZY35+atrfnVBdXNJSbnUB0pccDErKalQ7S1TQV3rrH8fqUTZdqm4r1N1vW0NtM6YRySlsgxUyVCgmnFuB9nQ7Jqw1fkescqmZtfIzed2ENfxk6otaiRUOrSBtTgaYcmJzEOvoj969Ki0a3f24Rj43Llz55C/qa6ulilTpsjf//539X777beHnF/Hjh0D5pefn1+vZXW7G+bCi4tZQ80rUTTUOifatku05W0oqbjenhitc+o0qqAGs66sncwsvkrWV3UU7fs2/njHZ0zH94rdqXr3R0KlQxtYoiTXpUsXyc7OlvXr1/umoVMUxj1Fm9NQ7rvvPvnggw/k97//fUCQCuecc460b98+YH5ut1s2btwYdn5ERImCJaoUlW89zWRJ2QDp7DgkeZZyKdYy1WfQy3TQRhVDUKF3f12yLuyv0ksd7VmJEh3akmIoqZkzZ6o2pm3atFHDTbVq1UqGDh0qHo9HjX+ak5OjqvUxLup7772ngtW+ffvKsWPHfPPS04wePVqeeOIJ+cEPfiDdu3dXna0qKyvlxhtvjOu6EhHVFwNValQYJxVDUNXWoQrNBZr0HS71aw1HlDjwZCmUeqJDFAJKlHwuXLhQHA6HHDx4UD1havr06TJixAhV3Q8YRxUvf3qam266SUpLS+UPf/iDnDp1Si666CJ56aWXVCBMRJTIGKhSo8Jg/ischVLoWi42S82xAD2aRVY4C+Wu/POl/GRZXJaRKNZsNptMnjxZvYJhKKqdO3f6PuPhAJG488471YuIKJkwUKVGt8veSbZ855CC9O3S17lXLJYzbVo3uDrKqsoLJaNV+3gvIhEREZkQA1UyTZtWIiIKPeIKXpEMKcanWFGyYaBKRERkUhaLRfLyIhtvEsMFnTpVzmCVkgoDVSIiojiyiCYOcUu12EWTwJJTlKQiSJ25eJN67Go4bfNz5N5be6v0DFQpmTBQJSIiioNzbSdkUPo26encL2kWt1RpdtniaiefVHbFmCkBaRGk7v2m7kfsEiUbBqpEREQx1sm9SwpzA0dDQbDaN22f9HZ+KSvcQ0WkIK7LSGQGfDIVERFRDFUd+UoKq1eEHLIPMB3fI124pgJOqVbvRMmOJapEREQxVLx+Wa0PQQF8X7xhmaRfOSaqpgJEyYIlqkRERDGiaV4p27E2orRl29eq9HpTgXtz31VNAxCk+jcVwHR8T5SMGKgSERHFirtatOqqiJKqdG5XvZsKECUyBqpERESxYneIxZEWUVKVzu401FSAKNkwUCUiIooRi8UqWV36R5Q268Iz6aJpKkCULBioEhERxVCTfsPFU8flF9836TtcVf0baypQ3UBLSWQODFSJiIhiKC3/fFnhKBSPFvgUKh2m43ukQ9W/saYCjgZeWqL44vBUREREMbbL3km2fOeQgvTt0te5VywWjAggssHVUVZVXigZrdoHNBU4vXVVRE0FkF7qaM9KlEhYokpERBQH33qayZKyAVKsZarPeMdnTI+6qQBRkmGgSkRElCxNBYiSDKv+iYiIkqSpAFGyYYkqERFREjUVIEomDFSJiIiIyJQYqBIRERGRKTFQJSIiIiJTYqBKPnj0ntdVyUfwERERUWL2+vd6vfLcc8/J0qVLpbS0VPr06SMPP/ywnHfeeXX+bty4cdKzZ08ZP358wHdDhw6Vr7/+OmDa9ddfL0899ZTRxaMoeI7vF9cXH4r7yyI55XapJ6HY2/cRZ49hYjunXbwXj4iIiFKU4UB17ty5smTJEhVEtmrVSmbMmCFjxoyRZcuWidPpDPkbl8ulgtk1a9aoQNVfeXm5HDhwQObNmyfdunXzTU9PT49mfcig6j3rpPKTBSKa5+xEt0vcuz8T9551kj5orDguuCyei0hEREQpylDVPwLORYsWyYQJE6SgoEC6dOkis2fPlsOHD8vy5ctD/mbz5s0yYsQI2bhxo+Tm5tb4fs+ePaq09eKLL5YWLVr4Xjk5OdGvFUVcklojSPWnedT3SEdERERk6kB1x44dUlZWJv379/dNQ/DZtWtXKSoqCvmb1atXy8CBA+Xtt98OGXzu3LlTmjdvLk2aNIlm+akeUN0fNkjVaR5xbf0wVotERJRwrFaL2O1W9bLZzlxW8a5PwwtpiKiRq/5RcgqtW7cOmN6yZUvfd8EmTZpU6zwRqGZmZqpSWpS+Nm3aVG644QYZNWqUWK3R9/VCxlAf/plNMkKHKbRJjYR7X5HYBo81vC2MZszx2tbJvq9DScV1TuX1psaDfC4vL7PGMZWbmxHw2ePxyqlT5TFeOqIUC1QrKirUe3Bb1LS0NCkuLo5qAXbv3i0lJSUybNgwufvuu2XTpk2q3SvmN3HixKgzjqZNs6QhBGc2yQK9+1XHqUi4XZKX7RCr01i74ezs9HpvawTUWrVLLA6nWCyNG1wk676uTSqucyqvNzU8XG8QpM5cvEkOHikNmaZtfo7ce2tvlqoSNXagqndwQltV/85OVVVVkpERXca/YMEC9Xu9WUDnzp3l9OnT8vzzz6vRAaIpVfV6NSkpqd+dKzIeXMxKSirUnXCyUUNQ2Z0qCK2T3SmnTleL3a4ZusCfPl1pKFj139bu7/ZL1Zb3xbW36Mwy2p3i7NhH0nr+VOzNG3YkgmTf16Gk4jo35HpjHiyVJX8IUvd+E12BDRE1UKCqV/kfPXpU2rU7GyzgMwLMaKB0NriEtlOnTmo0AJSqoilANNzuhrn44mLWUPMyE9zZZ3XpL2X/Xl1nWqTTNIvhCztuGKLZ1uFGInDt/ExcuxpvJIJk3de1ScV1TuX1JiJKNIaKBNDLPzs7W9avX++bhmr7bdu2qfFUjdI0TYYMGaLGZfW3detW1fM/2iCVImxXddm14q3jEMD3SBerKiuOREBERERRBaoo+Rw5cqTMnDlTVq5cqUYBQGcpjKeKQfs9Ho8cO3ZMKisrI5qfxWKRwsJCWbhwobz33nuyf/9+ef311+XFF19UnauocaXlny/LHYXi0UIHoZiO75EuVjgSAREREUU94D8CSLfbLVOnTlUBKUpSEWg6HA45ePCgDB48WKZPn67GTo3EPffco0ppZ82apUYOaNu2rTz00ENy0003GV00isIueyfZ8p1DCtK3S1/nXrFYUNItssHVUVZVXigZrdqbdiQC7co7G72DFRERESVQoGqz2WTy5MnqFQxBJoabCufjjz+uuQB2u+rtjxfFx7eeZrKkbIB0dhySPEu5FGuZ6jN0jOFyWDzVkXXuArdLrF63aLbQT0MjIiKixMfiKDINqzNNLI60iNIinTXMI3uJiIgoOTBQJdNANT5GGIhE1oX9We1PRESU5HilJ1Np0m+4eOo4LPF9k77DY7ZMRESRsogmTqlW70QUhzaqRI0JIwyscBRKoWu52CxayJEIVjgL5a7886X8ZFlclpGovrxerxqWb+nSpVJaWqo6pT788MNy3nnn1fm7cePGSc+ePdUDUfxh5JWvv/46YNr1118vTz31VKOsAwVq7j0ml2VtkJ7O/ZJmcUuVZpctrnbySWVX3ILHe/GIEhYDVTIdM41EQNQY5s6dK0uWLFFBJIb3w2Ojx4wZI8uWLavxABQdngiIYHbNmjUqUPWHB6QcOHBA5s2bJ926dfNN93+CIDWe0/9ZIz+v+ovY0s4+RALBat+0fdLb+aWscA8VkYK4LiNRomLVP5l6JAKMQAD6SASYTpTIEHAuWrRIDfVXUFCgHqQye/ZsNTzf8uXLQ/5m8+bNasi/jRs3Sm5ubo3v9+zZo0pbL774YvWwFP2lP5qaGg8e93z0b8+KTUI/6Qw1Q4XVK6TqyFcxXzaiZMASVSKiGMKDUsrKyqR//7MdBxF8du3aVYqKiuSaa66p8ZvVq1fLwIED1TB+1157bY3vMSxg8+bNpUmThq1ittvrV5Zhs1kD3pNR+RcfiHhrf0gJgtjiDcsk/coxhudv9KmA8drWqbCvQ0nF9bbFeJ0ZqBIRxRBKTqF169YB01u2bOn7LhieAFgbBKqZmZmqlBalr3j89A033CCjRo0SqzW6iwkCpKZNs6Qh5OZmSDLCQ0pO7Y3sISVl29dKi2vuNjxaSXZ2er23NZZTq3aJxeFs9NFSknVf1yUV1zs3RuvMQJWIKIYqKirUe3Bb1LS0NCkuLo5qnrt375aSkhIZNmyYKnXdtGmTaveK+U2cODGqeXq9mpSUlEt9oMQFF7OSkgrxeEJXjScyrbpKvSJNW3KiWCyOdEMX+NOnKw0Fq/7bGs0Sqra8Ly4E03iYit0pzo59JK3nT8XevJ00pGTf1+Gk4nrbGmidMY9ISmUZqBIRxZDewQltVf07O1VVVUlGRnQlFAsWLFC/19ukdu7cWU6fPi3PP/+8Gh0g2lJVt7thLry4mDXUvMxEE5sK/iJ5oh4eUuKx2MVi8MKOG4ZotnX1nnVS+ckCEc2vWYLbJa6dn4lr1zpJHzRWHBdcZmjeRv5/qknF9fbEaJ1Tp1EFEZEJ6FX+R48eDZiOz/n5+VHNE6WzwR2nOnXqpEYDiLaUluqGanSUUJrtISWe4/trBqn+NI/6HumIzI6BKhFRDKGXf3Z2tqxfv943DdX227ZtU+OpGqVpmgwZMkSNy+pv69atquc/2qtS40E1ulhtpnpIieuLD8MHqTrNI66tH8ZqkYiixkCViCiGUPo5cuRImTlzpqxcuVKNAoDOUhhPFYP2ezweOXbsmFRWVkY0P4vFIoWFhbJw4UJ57733ZP/+/fL666/Liy++qDpXUeNCW8+W144P+0Q99ZASR6F6mEksoOOU+8vIOni59xWp9ERmxjaqREQxhgDS7XbL1KlTVUCKklQEmg6HQw4ePCiDBw+W6dOnq7FTI3HPPfeoUtpZs2apkQPatm0rDz30kNx0002Nvi4kkt1toLz+/mHpWFIU/4eUuKsjajN7Jq3rTHpHWmMvFVHUGKgSEcWYzWaTyZMnq1cwBJkYbiqcjz/+uMY0u92uevvjRfHxnbWFrC8bIJ0dhyTPUu57SAl0jOWC2B0Rd/BS6ZCeyMRY9U9ERJQk0GHL3j6yts72Dn1i1sGLKFo8QomIiJKIs8cwEUvtHbzwvbP7sFgtElHUGKgSERElEds57dQ4qWGDVYtNfY90RGbHNqpERERJBoP5W5ueq4agcu/6zDfd3mmAKkllkEqJgiWqRERESQjBaEbBWLFknRlLF+/4zCCVEgkDVSIiIiIyJVb9ExERJRGr1aJeodjtZ8unvF5NvYjMjIEqERFRksCTyvLyMsRmOxuQllgtggeqInht2jTLN93j8cqpU+UMVsnUGKgSERElCQSjCFJnLt4kB4+UqmmjK6okW0SKS6vkN7NWqWlt83Pk3lt7q/QMVMnMGKgSERElGQSpe78pVn+78zTVI8Xt1XzTiBIFO1MRERERkSkxUCUiIiIiU2KgSkRERESmxECViIiIiEyJgSoRERERmRIDVSIiIiIyJQaqRERERGRKDFSJiIiIyJQYqBIRERGRKTFQJSIiIiJTYqBKRERERKbEQJWIiIiITImBKhERERGZEgNVIiIiIjIlBqpEREREZEoMVImIiIjIlBioEhEREVFyBKper1fmzJkjAwcOlF69esnYsWPlwIEDEf1uzJgx8uyzz9b47v3335errrpKevToIdddd52sXbvW6GIRERERUaoHqnPnzpUlS5bItGnT5LXXXvMFoC6XK+xv8N2DDz4oa9asqfHdunXrZPLkyXLzzTfLW2+9Jf3795dx48bJ3r17ja8NEREREaVmoIqAc9GiRTJhwgQpKCiQLl26yOzZs+Xw4cOyfPnykL/ZvHmzjBgxQjZu3Ci5ubk1vl+wYIEMGTJERo0aJR07dpT7779funXrJq+88kr0a0VEREREqRWo7tixQ8rKylSppw7BZ9euXaWoqCjkb1avXq2aCbz99tuSk5MT8B1KYxHI+s8P+vXrF3Z+RERERJQa7EYSo+QUWrduHTC9ZcuWvu+CTZo0Kez8SkpKpLy8XFq1ahXx/CJlt9evn5jNZg14T0Sa5hVxV4vYHWKxBK6H0fWKZjtYrZZGTd9Q+yYZ9rVRqbjOqbzeRESJylCgWlFRod6dTmfA9LS0NCkuLjb8zysrK8POr6qqSqKFgKdp0yxpCLm5GZJoqo58JcXrl0nZjrWiVVeJxZEmWV36S5N+wyUt//yYbYfs7PRGTR9umRCga9UusTicNQL0aOaXzFJxnVN5vYmIkjpQTU9P97VV1f8GBJUZGcYzfgSk+vz8RTs/nderSUlJudQHSlxwMSspqRCPxyuJwrV7rZStnC/i9fimIVg9vXWVnP7PGskaPE6cP+zvW79IYTuAkd+cPl1pKPg0mj5437i/2y9VW94X194iEbdLxO4UZ8c+ktbzp2Jv3i7p9nV9pOI6N+R6Yx4slSUiMlmgqlf5Hz16VNq1O3vhx+fOnTsb/ud5eXmSmZmpfu8Pn/Pz86U+3O6GufjiYtZQ82psnuP7pfyj+SLa2SA1gNcjZR/NFy23teGS1Wgu6rhhaMz0/vumes86qfxkQeC6u13i2vmZuHatk/RBY8VxwWURzy9VpOI6p/J6U2Q1cpE0Q0J+ZTTPIiLjDBUJoJd/dna2rF+/PqCd6bZt26RPnz6G/7nFYpFLLrlENmzYEDAd87/00ksNzy/Vub74MHyQqtM84tr6oSQTBOg1glR/mkd9j3REROEgQM3Ly1RNx+p6IZ3RdvVE1MglqmhLOnLkSJk5c6Y0a9ZM2rRpIzNmzFCdoYYOHSoej0dOnDihevf7Nw2ozR133KHGTcXIAVdccYW88cYbsn37dnniiSeiWJ3UhXaZ7i8jGynBva9ING2spGKAnlGQPOtNRA0LgSeadMxcvEkOHikNm65tfo7ce2tvBqpEMWC4kRXGUL3xxhtl6tSpcsstt4jNZpOFCxeKw+GQQ4cOyeWXXy7vvfdexPND+ieffFL+/Oc/y/XXX68eAPDCCy+oMVXJAPTuR7vMiNK6zqRPyQCd1b0Uf3zCn7khSN37TXHYV21BLBHFsUQVEJjiSVJ4BWvbtq3s3Lkz7G8//vjjkNORqeJF0bM6nap3PzpO1QXp0CM+ZQN0x5lOfETxoj/h76mnnlI1UqiZQgC6bNmyGqOg6NDp9OGHH1ZP+OvZs2fIJ/zdd999MmDAAPnrX/+qaqowfjVv+okokbHbapLADQSGoIpE1oXo9W+TpGB3qN79kaV1nklPFEd8wh8RUeQYqCYRjJPqqWOX4vsmfYdLKgbojg59DY2rStQY+IS/xGIRTZxSrd6JKAGq/sm8MOTUCkehFLqWi81SM1P1aBZZ4SyUu/LPl6rvx0VNil66l10rpf9eI1appf2p1SbpvX4Sy0UjColP+DMv/+U813ZCBqVvk57O/ZJmcUuVZpctrnbySWVXFAvUSG90/mZ/wl9tTzZMhn3dUFJxvW0xXmcGqklml72TbPnOIQXp26Wvc69YLMhwRDa4Osqqygslo1V7ScYAfXltAbpYpfW146W6eTuOnUlxxyf8mV8n9y4pzA3MTxCs9k3bJ72dX8oK91ARKTC8XonwhL/6Ptkw0fZ1Q0nF9c6N0TozUE1C33qayZKyAdLZcUjyLOVSrGWqz9AxBQP0vbl9ZGq3gXLyZFm8F5OIT/gzMSxvWsURKaxeEfKmV6WxaOr7qiNDpSoj39AF2+xP+Iv0yYbJsK8bSiquty3GT/hjoEpJH6B3zDtTTUdkBnzCn7mhNNFWWzMiXKjFK8Ublonj8tFJ84Q/I082tJ3TLin2dUNKxfX2xGidU6dRBRGRCfAJf+aFdpmo8o5E2fa1STUuc6o+2ZDMj4EqEVEM+T/hb+XKlWoUAHSW8n/C37Fjx3xtTyN9wt+7774rL730kuzdu1eefvpp9YS/2267rVHXJem4qyMaixpUOj44hajRMVAlIooxPuHPpNDDPcIHgqh0yTIuc4o+2ZASA9uoEhHFGJ/wZ04Yhgk93NF5KJIHpyTNuMz6g1MiCVb54BSKsSQ5y4iIiOovFR+cgoDb3j6y9tH2Dn2SJ0CnhMCjjYiIKOjBKXhASijqwSmOwojGFE0kzh7DRCx1PFrbYhNn92GxWiQihYEqERFR0LjMM0uulvVVHdV4zIB3fMZ0fJ9sMORU+qCx4YNVi019X9vQVESNgW1UiYiIgqTig1McF1wm1qbnqiGo3Ls+8023dxqgSlIZpFI8sESViIiIFASjGQVjxZLVVH3GOz4zSKV4YaBKRERERKbEQJWIiIiITImBKhERERGZEgNVIiIiIjIl9vonIiJKcVarRb1CsdvPlml5vZp6EcUKA1UiIqIUhgA1Ly9TbLazAWmJ1SKe779r2jTLN93j8cqpU+UMVilmGKgSERGlMASjCFJnLt4kB4+UqmmjK6okW0SKS6vkN7NWqWlt83Pk3lt7q/QMVClWGKgSERGRClL3flOs/nbnaaoXi9ur+aYRxQM7UxERERGRKTFQJSIiIiJTYqBKRERERKbEQJWIiIiITImBKhERERGZEgNVIiIiIjIlBqpEREREZEoMVImIiIjIlBioEhEREZEpMVAlIiIiIlNioEpEREREpsRAlYiIiIhMiYEqEREREZkSA1UiIiIiMiUGqkRERERkSgxUiYiIiMiUGKhSytM0r3hdleqdiIiIzMMe7wUgihfP8f3i+uJDcX9ZJKfcLhG7U+zt+4izxzCxndMu3otHRESU8hioUkqq3rNOKj9ZIKJ5zk50u8S9+zNx71kn6YPGiuOCy+K5iERERCnPcNW/1+uVOXPmyMCBA6VXr14yduxYOXDgQNj0J0+elHvuuUf69Okjffv2lccee0wqKioC0gwdOlQ6d+4c8HrggQeiWyOiCEpSawSp/jSP+h7piIiIKIFKVOfOnStLliyRp556Slq1aiUzZsyQMWPGyLJly8TpdNZIP2HCBBWYvvzyy1JSUiIPPfSQlJeXy+9+9zv1Pf5GoDtv3jzp1q2b73fp6en1XTeikFDdHzZI1WkecW39UDIKxsZqsYiIiKg+Jaoul0sWLVqkgs+CggLp0qWLzJ49Ww4fPizLly+vkf7zzz+XDRs2qKAUQWj//v3l8ccfl3feeUeOHDmi0uzZs0eV0l588cXSokUL3ysnJ8fIohFFBB2m0CY1Eu59RexgRUQUAXZKJVOUqO7YsUPKyspUwKnLzc2Vrl27SlFRkVxzzTUB6Tdu3KiCzo4dO/qmofrfYrHIpk2b5KqrrpKdO3dK8+bNpUmTJg2xPkS1snrdqi1qRNwulV6z1awpICIidkolkwWqKDmF1q1bB0xv2bKl7zt/KDUNTovmAXl5eXLo0CH1GYFqZmamKqXdvHmzNG3aVG644QYZNWqUWK3Rj55lt9dv5C2bzRrwbgbqTtVdLWJ3iMUSuFxGl9NqtRhKH812MPo/GnuZkN6akS4WR5po1VV1pkc6R0a6eJOwgMCMx3cspOp6EzUGdkol0wWqeieo4LaoaWlpUlxcHDJ9qHarSF9VdSZQ2L17t2q7OmzYMLn77rtVSSvavWJ+EydOlGgg4GnaNEsaQm5uhsRb1ZGvpHj9MinbsVYFWAigsrr0lyb9hkta/vlRzTM7O73Rt4PR/9HYy6Snr+rSX05vXVVn+qwL+0uTJg1zHJmVGY7vVFxvNHd67rnnZOnSpVJaWqo6mz788MNy3nnnhe2U+tvf/lY+/fRTVSN19dVXy3333ScZGRkBnVK//vrrgN9df/31qj8BUbw6pVqbnsuSVYpdoKp3cEJbVf/OTgg6/TNM//RIGwzpUYoKCxYsUJ/1Nqno8X/69Gl5/vnnZfz48VGVqnq9mpSUlEt9oMQFF7OSkgrxeOJXpObavVbKVs4X8Z7NDBCsItA6/Z81kjV4nDh/2N+3vJE6fbrSUGCI7QCN+T8ae5n09Ajwi7d+KjYJv189YpUmfYfHff83FrMc34m63phHfUpl2SmVEh07pZIpA1W9Gv/o0aPSrt3ZOyR8RoAZDBnwRx99FDANgeupU6dUcwFAphycMXfq1EllvChVRVOAaLjdDXPxxcWsoeZl+H8f3y/lH80Pnxl4PVL20XzRclsbLllFMG9oWaK4qBv9H429THp6bKsVjkIpdC0Xm6Xm//RoFlnhLJS78s+X8pNlcdv/sRDP4ztV11vvlHrvvfeqTqmATqkY8g+dUoPb+uudUt977z1fe390SkVg+z//8z+Sn58f0CmV7f3JdJ1Sr7yzRnM1okgZOnLQyz87O1vWr1/vm4a7+23btqmqq2CYhrar/tVRyHChd+/eommaDBkyRFWB+du6davqhBVtkJqKd6xkzC57J5lZcrWsr+oo2vexKt7xGdPxPVFjqKtTarC6OqUCO6UaC7JQK8Xe6fWAvhIGOqWq9ESxKFFFyefIkSNl5syZ0qxZM2nTpo2qskLJKdpHeTweOXHihKrGR5VTz5495ZJLLpFJkybJo48+qkpJ0Q7ruuuuU6UAUFhYKAsXLpQOHTrIRRddJGvXrpUXX3xRVW2lMuPDKLFqxahvPc1kSdkA6ew4JHmWcinWMtVnOBsSEDUsdkqND/d3+6Vqy/vi2lt0JniyO8XZsY+k9fyp2Ju3i7qDZmOmN2OnVPWbtDS1/SIKVjEKQHpa0paomukYT9Z1NjzgPzJCt9stU6dOlcrKSlVqikDT4XDIwYMHZfDgwTJ9+nQZMWKEuuNHaSmeRnXbbbepTlQ/+clPZMqUKb754alVKKWdNWuWyqTbtm2rgtSbbrpJUpnRYZQsHt6xEiUCdkqNPbTnP/m3ZwPa+iPfdO38TFy710nLa8dLdreBhucbbYfORO6UCuhkWnXhjyLqlJrd9UfSrFnyj4se72M8mdfZcKBqs9lk8uTJ6hUMQSbu7P2dc8456pGrYRfAblcZK150ltXpNDSMktWZFpPlIqL6YafU2JeklgYHqf68Hjn6t2elwtlctV83cvGNtkNnIndK1X9juXCIyH/WhN+uYLWJpcsQOXmyTJKVGY7xZO+UajhQpdhANUmWgWGUkrVahSjZsFNqbFX+6/3agynweqTyXx+Ifci4mHToTOROqb7f5LWV9IKx4YeostjU90iXCh02U7FjqidG68zoxsQwjBKGSaqNPowSESUGdkqNHYtFE/eXGyNKe6ZPgLEgL9VhMP/MEY+IvdOZtv06fMZ0DvZPDYGBqonpwyhhuKRQ1DBKjsKoB/0notjz75S6cuVKNQoAOpz6d0o9duyY6gMA/p1Sv/jiC1m3bl1Ap1T0BdA7pWIIq/3798vrr7+uOqWiT0EqU49AjqD5FCCd1cu2/kZhMH+Mk2rJOnNDhHd85iD/1FBY9W9yGCZpy3cOKUjfLn2de8ViOTOM0gZXR1lVeaFktGof70UkIoPYKTVG8LhpA239VU92IjIVBqoJgMMoESUXdkqNDbb1J0p8PCuJiChpsa0/UWJjoEpEREmLbf2JEhur/omIKKmxrT9R4mKJKhERpUxbf7TxB72tP6YTkXkxUCUiIiIiU2KgSkRERESmxECViIiIiEyJgSoRERERmRJ7/RMREZEhVqtFvXT4S/v+3W4/Wwbm9WrqRRQtBqpEREQUMTzWNy8vQ2y2swFpyfdBq8VqkaZNs3zTPR6vnDpVzmCVosZAlYiIiCKGklQEqTMXb5KDR0rVtNEVVZKNYb9Kq+Q3s848srZtfo7ce2tvlZ6BKkWLgSqRQZrmFXFXi9gdfDY4EaUsBKl7vylWf7vzNNXrxe3VfNOIGgIDVaIIeY7vF9cXH4r7yyIRt0vE7hR7+z7i7DFMbOe0i/fiERERJR0GqkQRqN6zTio/WSCiec5OdLvEvfszce9ZJ+mDxorjgsviuYhERAmDNVMUKQaqRBGUpNYIUv1pHvW9tem5LFklIqoFa6bIKN7GENWheuuH4YNUneaR6q3LY7VIREQJWTNV/uZjqiZKBal+NVOYju+JgjFQJaqVJu4vN0aUEiUEFgt7thIRRVszhXRE/hioEtXC6q0WrboqorRIZ/W6G32ZiIgSDar7I6mZcqEGi8gPA1Wi2tidYnGkRZRUpbM7Gn2RiIgSreOUapMaAfe+ojMdrYi+x0A1TnAiogSOJ6S5oTdqVpf+EaXNurA/e68SEQVD7369TWqdaV1n0hN9j73+Y4w9HhNPk37DpXjrp2KT8DcVHrFKk77DpTymS0ZElABQ02R3RhasIh1rpsgPi39iiD0eE1Na/vmywlEoHu3Ms6yDYTq+Rzoiih3WTCUG1DShQCYS9g59WDNFAViiGiPaiQNSuaqOHo+rFoi9WRuxNDsv1otHddhl7yRbvnNIQfp26evcKxYLLpIiG1wdZVXlhZLRqn28F5EoZbBmKvFg3+DhKLV2qLLYxNl9WCwXixIAb1tiwGq1iLbjIxFvHT0evR6VDunJfL71NJMlZQOkWMtUn/GOz5hORLHBmqnEhBsIPMEPwWhIFpv6njcaFIyBagxgbM3ynZFlnkjHsTiJiGriWJyJDY+ZzhzxiNg7DQiYjs+YzsdQUygMVGPBbWwsTvZ4JCKqiWNxJj6UmGYUjBVLVlP1Ge/4zJJUCoeBaizYHRyLk4ioHjgWJ1FqYqAaAxyLM7WxZzJR7Mfi5FPikg/z0tTEXv8xwrE4Uw97JhPFZyxO1ExZnc6YLBY1PualqY1FdzHCsThTC3smEzUs1DQ5O0Y2FidrpswHo9nY7Vbfy5//9OBRb5iXEktUY4hjcaaGSHsmW5uey9IAIgPSev5UXLvX1TrUH2umzMdisUheXobYbGcD1BKrRbAXEZg2bZrlm+7xeOXUqXLxejXmpaTwljPGOBZn8mPPZKLGYW/eTlpeO14Fo6GwZsqcEIwiSJ25eJP8ZtYq9SouPTMSDt71afge6fRSVealBAxUGwgbeROwZzJR48ruNlBeT7tJ1ld1VDVSgHd8nllytaq5InM6eKRU9n5TrF5u75mdh3d9Gr7XMS8lHav+64mNvKm+PZM1W81OHyrTxbwwtBnb2lGKiPS4/87aQtaXDZDOjkOSZyn31UxBxxguL5knL1Xpg4aBZD6aHBio1gMacddoP/N9I2880xiPg+OTNlJMFD2TPX6HD298KBXxuKf65KUqnd/44zyekgsD1TBwJ+Z1VYatTjDSyNvO9lIp1zPZtfMzAz2TvfW+8WHJASViPgq84adQkI8huFS9/etg79DHl+8xH00+DFSD+N+JnarlTsxII++0/F81/oJTQvdMjrZ3a7QlB5EEEPXNxBs7fbT/w+h6U+Plo+zVTbXB8YLgstZrrcUmzu7D4pKPRpOnmDVfFBPno4YDVa/XK88995wsXbpUSktLpU+fPvLwww/LeeedFzL9yZMn5be//a18+umnaoiKq6++Wu677z7JyMjwpXn//ffl2WeflYMHD0qHDh3k/vvvl/79I3uSU0OK9E7MeCPvsY230GTansmH3p4T8gEPqmeys1Duyj9fyk+WGb7xwXOxoy05iDSACPebSDLxxk5f3/8R6Xo3JuajZ47L6q2RHffVW5eLrWBMIy85mY2jxQ8ka8g4KVs5P/SNv9UmWYPHib3FD9RwVrHKR6PJU8yeL4qJ81HDZdtz586VJUuWyLRp0+S1115TGe6YMWPE5QrdjmTChAny9ddfy8svvyzPPPOMrF69Wh599FHf9+vWrZPJkyfLzTffLG+99ZbKWMeNGyd79+6VWIr0Tgzp1KP5DDTytniqG3RZKbl6JkfTu9XI8VqfgbON/qax08fqfzQ25qP7xWLRxP3lxojmi/MD6Sl1YIiqvLxMye87RNqMflqyexQEfI/PmI7vke7M8dT4+Wiq5ovVccxHDQWqyEQXLVqkMs2CggLp0qWLzJ49Ww4fPizLly+vkf7zzz+XDRs2yO9+9zvp1q2byjwff/xxeeedd+TIkSMqzYIFC2TIkCEyatQo6dixoyoFQNpXXnml4dYyknUzcCeGDjDoCBOJMx1mIktLyQU9kyMZM9fojQ/SGx1fMJoM2ehvGjt9rP5HY2M++n0+ihEvqs+MpVkXpFPnCaXk2Kv3L/5KntzdXU7LmQcD4B2fMd039qrBfBRV3dGM05qK+aInzvmooUB1x44dUlZWFlCdlJubK127dpWiopp3Mhs3bpQWLVqojFPXt29fVXW1adMmVYqwefPmGtVT/fr1Czm/xmK0RAuyukRWpcZH+VFdjN74WBx2wyUHkWbIqGLVGc3EGzt9rP5HY2M++v1xabMZOu79e3VT6oh47FV9lIBI2J3q+ItmnNZUzBddcc5HLZqmV0zWDXf748ePly1btkh6erpv+sSJE6WyslLmzZsXkB5tqpAW7bD8IUNFNdcNN9ygMtP58+fLlVde6ft+8eLFMnPmTFWSEA2sEtqrGPiFeEu+izi1Lbe5WJApl56oM609p5loVptYrVY5VVolbs+Zgz1HKxUr/q9YpNSScyatzSp5OWnqwgNGf9PY6RN1mWK9DsH/I5L0WkWpapxeF6szXSzp2eIxcLxac5uLt/Q7HOZ1s1jEmtNc/ektPRbhb0SsOS0aPX0slslIaQ8CxWgwHz2bj2qVpyM/7jNyojq3zHi+J2I+mgjL5K0oFS2C48nyfT7qNZiPIqNIxXzRG+d81FBnqoqKCvXudAbetaSlpUlxcXHI9MFp9fRVVVUqUw43P3wfLay4zWYxliFjY0USs1ssYrFaxWKxiS0rVzxlJWGT4nsLetF9/xkn01lnO0EElyng5JQof9PY6RN5mWK5DoG/qTu9lpYZ2QU7LRM/UsdhpMcrMoOI4w1NU7OHyH8jYrVojZs+FsukNmvj134wH/XLRw0c90gfzbkVmN4c53sslimV8nb9Nzie3BEcT7bv81Ejx+uZZdJSL1+0xD8fNRSo6nf/aGPlXxKAzNC/96l/+lCdA5A+MzNTZaT6/IK/DzW/xoIM2ZHX0vDvrM4M9SKqL9zQOJrmR5ze6PFqZN7R/qax08fqfzQ25qN+DB73RPHMR1FkmIr5oiPO56ihsLd169bq/ejRowHT8Tk/v+aKtGrVqkZaZKanTp2Sli1bSl5enspoI50fEVGiYz5KRNRIgSp6p2ZnZ8v69et900pKSmTbtm1qHMBgmIaerBhWRYfeq9C7d291B37JJZf4pukw/0svvdTIohERJQTmo0REjVT1jzZQI0eOVA30mzVrJm3atJEZM2aoO/6hQ4eKx+OREydOSE5Ojqqu6tmzp8pAJ02apMb8Ky8vV4NaX3fddb47/TvuuEON94cer1dccYW88cYbsn37dnniiSeMLBoRUUJgPkpE1Ei9/gGZ6KxZs+TNN99Ujfj1J6q0bdtWPRFl8ODBMn36dBkxYoRKf/z4cXnsscdkzZo1qi3VT37yE5kyZYqvXRW8/fbbagBslBpccMEFauDqeDxRhYgoFpiPEhE1UqBKRERERBQLHImeiIiIiEyJgSoRERERmRIDVSIiIiIyJQaqRERERGRKDFSJiIiIyJQYqBIRERGRKTFQJSIiIiJTYqAaxOv1ypw5c2TgwIHSq1cvGTt2rBw4cECS3ZEjR6Rz5841XhiQPBnNmzdPfvnLXwZMw5N88MQg7Pcf//jH8sc//lFSYb2nTp1aY79j/RPZqVOn1AD6eEoTnup0yy23yMaNG33fr127Vg2mj6c+YfD8d999N67Lm2yYjzIfZT7KfLTBYMB/OuvZZ5/V+vXrp33yySfa9u3btdGjR2tDhw7VqqqqtGS2atUqrXv37tqRI0e0o0eP+l4VFRVasnn11Ve1Ll26aCNHjvRNO3HihNrvU6ZM0fbs2aP99a9/VdsD78m83nDjjTdqs2bNCtjvx48f1xLZHXfcoV1zzTVaUVGRtm/fPu2xxx7TevTooe3du1ftX+xbrDP+fvHFF7WuXbtq//znP+O92EmD+SjzUeajzEcbir3hQt7E53K5ZNGiRXLvvfdKQUGBmjZ79mxVKrB8+XK55pprJFnt2rVLzj//fGnZsqUkc2nHI488IuvXr1fr6u8vf/mLOBwOefzxx8Vut0vHjh3l66+/lvnz58sNN9wgybreeDDdnj171HPiW7RoIckA++2zzz6TJUuWSO/evdW0//3f/1WPH122bJl6HClKOyZNmqS+w77etm2bvPjii3zkaANgPsp8lPlo4vvaRPkoq/797NixQ8rKygI2cm5urnTt2lWKiookme3cuVMdaMnsP//5j8pE//a3v6mqCn+ozujbt6/KXHWXXXaZfPXVV/Ldd99Jsq73/v37pby8XDp06CDJomnTpurC2L17d980i8WiXiUlJWpfB2ek2NebNm1SFxyqH+ajzEeZjya+pibKRxmo+jl8+LB6b926dcB03B3r3yVzScCJEyfk1ltvlR/96EeqLcqnn34qyQTthZ599lk577zzanyH/duqVauAaXqpyKFDhyRZ1xv7Hf70pz+pdEOGDFGlIaWlpZKoEBRdeeWV4nQ6fdM+/PBDVUKAUr1w+7qiokJOnjwZhyVOLsxHmY/6Yz6amHJNlI8yUPWDDQz+OwbS0tKkqqpKkpXb7ZZ9+/ZJcXGxjB8/Xt1FoSE8qjHQWDoVVFZWhtzvkMz7Hhms1WpVGcwLL7wgDzzwgPzjH/+Qu+66S3WISQabN2+WKVOmyNChQ1VVdKh9rX9GtTXVD/NR5qP+mI8yH60vtlH1k56e7tvI+t/6CZaRkSHJCtU0aHdjs9l8633RRRfJ7t27ZeHChSnRbg/rHXxy6RlrZmamJKtf//rX8otf/EJV80CnTp1UG6ubbrpJtm7dWqOKK9F89NFHqq0keqzOnDnTd+EM3tf652Q+z2OF+SjzUX/MR5mP1hdLVP3oVVVHjx4NmI7P+fn5ksyysrICLirwwx/+UDUgTwWowgi13yGZ9z1KAfTM1X+/g5FqWjO27Xz11VdVydagQYNUKYdesoPzPNS+xoU0JycnTkubPJiPMh/1x3yU+Wh9pUygunfvXpk2bZoMGzZM3d2gF9vNN9+serShyga6dOki2dnZ6q5Yh0bD6MnWp0+fuCw3etWhXUxjwh0/7pT09UY7lDvvvFONf4fthl66c+fOldOnT0u8YBtgWzRUNc2GDRvk888/VyUel19+ucpM1q1bJx6Px5cOn9u3by/nnHOOxAPGXsQ6Hzx4sNH+x3333Se33357wDSUAMAFF1wQ0b5A43lUb+qwvPEeOxLnNc73bt26qSornL8o8diyZYtceumlav/7w77GOYALDkoFZs2apaq3evToIddee6289957cVsXM2E+Gh7zUeaj/lI9H/3mm29k4sSJqiahX79+qhkEOp1FIyWq/nGRQdsK9Ma844471EmD9hWrV6+WJ598Ug23gAwE7SswUDGKtps1ayZt2rSRGTNmqLtEtMuIh9dff71Gg+WGhu2C3oqPPfaYuutFRqv3XMU09NZE1RWK/19++WXVyDpR4WLy85//XJV8/OAHP1DDjSBzxXrhbhBVOMh0vvjiCzUN65/MEHAgA3nuuedUQPbll1+qTgC4qIbrvfxf//VfqjG9bunSpepCbBZYB5zX6PSA/f3f//3f6hzCuYSLyR/+8AeV+eM8v/7661U+8MEHH6hhVQBVXBiW5Z577lHD0LzzzjvyP//zPyr4wsDXqYr5aO2YjzIfZT76gcpHkS+MHj1a3bxiSCuUwuIBIHhIAoa2MnrsJ32gih2PzBUHBDas/7AZ6NGGSH/ChAny/vvvy1VXXaX+xsbFUyawsXEHgcwFw1LEAxrjNzbc/aBIH3dz//znP9U2Qgb0yiuvqLsmwJAj6Mn6f//3f2p7JqqXXnpJVdFgvdALFesF6KU5ePBgVTqAkw7ti5DR4u9khnXGeYGOHwsWLFBVNsOHD5ff/OY3YX+DzKqxL/r1gZKs6upq35OQsH46tJ1asWKFCqgQPOEYb9u2rfobd/4YcgW/x/ZA/gCYjp6u6L2dqoEq89G6MR9lPsp8dIbKL9GRDEOS4SZFb5uNG9uf/vSnsnLlSuPHg5bkHnjgAa1Xr17ad999FzbNfffdp7377ru+z3iaxKOPPqoVFBRo3bp10/r06aPddddd2oEDB3xpBg0apN1///0B83njjTe0Tp06+dLhaSSPPPKINnDgQDWfYcOGqac3+Hv55ZfV9Isuuki7/PLLVfrS0lLf95jfnDlzfJ/xlJe7775bPf0DT4HAb6ZNmxbw5BP8Bk/PePDBB9WyY/0nTJigHTt2LOw2cLlcap5jxowJm+b//u//tL/85S++zyUlJdqTTz6pDR48WC3/1VdfrS1dujTgN9hOeHLFE088oV166aVa3759tcmTJ2snT570pcETPoKf8rFu3Tq1HngHbAN81rndbm3evHnqf+LpGD179tR+/vOfa2vXrtVqM3bsWLVfQz0h5/3339fefPNNQ/8Dy4X9t3z5cpUO2+Haa6/VNm/erH3++efqaSX4Lb7zf2IHfodt8/HHH6vf42kf//Vf/+Vb31DHE+AJIbfeeqtKj32LY9f/6Scej0dtb8wbxxzeZ86cqfZvKK+88orWuXNn9UQZ3XPPPaf+r//yrlixQqU7fPhwwL7AOYC/9ReWGcuLv1944QVt/Pjx6vjDsk6dOlU7ffp0rfsH++Wpp55SxzWW/6qrrgo45vR5h3vpx5G+7fB0GH84rzHvcHAuDRkypNZlTEXMR5mP+mM+Goj5aKCPPvpI/W7Lli2+adi+mLZo0SLNqKQvUUX0jkFoa2sf87vf/S6gMfOvfvUrNcQIqgCbN2+uBnHG3QSqN1AqECkUm+PO4v7771fzQYnM008/LXl5eeopHX//+9/VHQi+R1sUDG2CZcHwLv7LpEOVCu7GUTrw1FNPqSo2zBN3txgWw799C54EU1hYqNra4Y5o+vTpqjcqPocbzBhjn6HBdDio2tChlARtVfB0CpSeoHoPVVoPPfSQquJCNYF/OxdUD2EZMMbg73//e1VC9dprr6nBg6OB6oY///nPqnoW2w6dFVBKgTYxq1atCtvrEO0OUUWBdnXYBzg2UF2H5cCziqP5H6jywv7AEzrQkBxterBNUHqE7YBG5/r3+J3e2QLbAvv+//2//yft2rVTT/NBmzZUAV144YU1lh2DpaPKFcuM4xHH6DPPPCOjRo2Sv/71r2q+uJvHMmO+qLJBWyIcC1gWLFOo7fHEE0+otkW42wX8rf8//W4YxxkGbA/uEIFjAuuB9oeo9sJ6YOBrwLKhqgd33WjfhKofVJ9j2cLBOYYBtVF1iOMc1cmoOkK7Pqw7jnNUPYWD+eslgCjNCn5KDI5DnEcYkB7fhxqsHp0gUD2F5cZxit/gGEBpUapiPsp81B/z0Zrbg/noWWivjCYPOC9x/mKb4h37NZp8NKkDVRyAeAU/7gz0hv86nGDIgLDxceLgINCra1CthUbAte3YUNDQeMCAAXL11Vf75oMdpWf2+B7F5cg0UW2E6hN8j2UO13gdJx4OXP1AwqDSaE+H9lD+GSyGx0CGpkNbIbQfCUcfjBnLEwm0TcHyIJO8+OKL1TRUC2K74oRCBoYLCWDdcBHQewKi3drdd9+tTp5oq1Kxn5Bh4QTWoR0Meifighiuqg8XhWPHjqkLJdoQAaqwcGIho0LnGaP/AxdEZAz6uuBReriIIOO68cYb1TRkOsjg0O5Hzzzxu0cffVSuu+469RkZJ05iVB8hUwyGeaL6ZN68eepYBXRowfH1xhtvqOMIxxQ6NuiPK8QxheM5XC9MZIiYJ8Z5RAaLZUK1HRrP+z9FCPtqxIgRIX+P/YmLvb499AwW7bb06k1k1DhO9cw7FFys0R4U7Z9w0QHsFxw/yJzRpgvHfSTVuBhoWz9H/OmZKjLsUBksLhaoskLAgX2PDBoBApYH+yUVq/6ZjzIfDcZ8NBDz0UDYv9hvuMHQA1OsG5rGhHpgQkoHquEG2sVdaHCjftzJfvzxx+pOB700USKAXndIizt03MkYHcQWGSoyINwpoh0XXshYdDihkGnjwMXOxPdo1xLu7hgHG15oN4KTGMumPwlFz8x0wQch2sLoA3GHorc5i3RwYpzI2GZ65qpDQ3LcleIOVG/jhyd1+J/g+Iz/hxM42gwWmQ1g3bF/sC0++eQTNa2u/YQ7eZzEyDSQseDihBI0lMw8+OCDKqM1+j/Q01GHUh/wHztP3z/o/azDNvB/7jnuOrE9Qj3JBvsO2xQlBTg29QABJz3uXJF5IYPFMYflxoUE2xl3+ujYUhukQSmO3vMUpQbYBg8//LBaTwQX3377re+57ZHSAxQdLt6Yfzj//ve/VW9hLLc/ZNQoJfnXv/6ljv/g4ChUoFTXMC/ItEPBuYULMAIIXGT08/RnP/uZChxSMVBlPnoW89GzmI8GYj4aeFxjG2N/ogQX6XCOInBGaXXwOqV0oIo7PNxZY5gEf6hCQCagQzWE/gg0QJE5qnZwd4wTA3duwWPjRQLVN8jYMD9UY+CFDAl3fxjCBZ0OkKGhxAYXQQxXgUwLVWX4LhjSYrkWL16s7rawHrhz1cc18xdcZYMDpbaD7txzz1XvwdvKHzIa3F3hzgilFcHVAf6Zi39GElzNoY85F67EIxIY+gM9SfGOdcUQIPo6RDIWXZMmTVTmpmdwqHKZPHmyqqrARQ7LZ+R/hLrrrGvQY2wr/04pgFKiU6dO1UiL7Yn9j5Mcr2D6MTBmzBh1h4uSAVS5YX1QlY1OLbigh4ILIUpqEFDggoPMBXfuGKgbmToyPuxrlDAYYfQY1Nc7uHpZvzjh+MMyouNCOCj5wGMMsT9QLRVMHxooXMmIXs2lB6mADBvbw2hJYLJgPnoW89FAzEfPYj56FkpOcbxiG+tPq0JwjBoCNAEwOuRWUgeqgLsK3L1hw+onATZc9+7dfWn876LR6xfVVaimwB2BnjmgTVTwXYz/WHH+RfU6/B+0EcELd1JYDmSkaKvz7rvvqjT6SY4idrTDwo7FiY7xCYMzJlRl6EN9oCRDP0j0apH6wEVEb/+FO8pQcJLibgztg5BB4c44GEqjwH/w4+Dn/mK7YRqqOvyn1bYt/WFfIiNBeydsR7SNwsmLNlPoqRgO2kahKgclAaj+8Id2Q6ieQkkN2qLhbjia/2FEqIwU7dJCtQNEpom7XJRg6FWgoTIzLCP2H16oAsLyItNANRtKC4IfeQe4u8W5gcwVVUq488axh6pelJLguEcpQLTt4CKlHwPB2wXbRD9P0bbKPzgKpldDYX/hOEGm7H+c4ZhFEBMuYELbKwRWuBD4ry9KH6IJspIF89HIMB9lPsp8VNSNGgJy/+2EbYrzETeIRiX9gP9ob6QPkxKqKgON2fXhFwDtSnDHhQNSz+Cw4zHciH+VDg7I4CdO+GfAmK9e1A64g8RBj5MDmS1g6Aq9CguZJdq2oFE1ljf4iQ/6/HE3ikxCz1yRaaAUo77PE8ZBhJMXmSeq7oLhxMPJiobyOPgw3AwORmwvfyj1QObk30YJmbb/tkfHDKyj3sC8rm0ZDNVHOAlRrYLtoVc/6FU94baFfueNkpdQz53GfHFHjWAl2v9hBI4RVJv5f8b8Qz1qEdsIFwEsF4ID/YW7fJQg6YOM4471t7/9rfobGTWqQ3HcoSQh3EDj2F9oA4j9sn37dt9QMyg5wPGAoKO2ziHhqn+ihePMH4Y8QoaIalg9OAr3QsaqtzkE//aEOAaxPljXcFAqgv2Oi5H/77CfkMmmKuajkWE+ynyU+aio36M9t//xipt/HOdsoxoC7uRQbI/GyDjYcNeMaTjBsdFwV4E7Ddz1gZ4xoIE4MjJUq+AOAL2B9TtUHOw44NAYGy+0oUGm5N/AGQcEqg/Rgw8HMP4nGoC/9dZbKuPVD2A0HkfPVLSpwUmA9LgDQ5VWMCwbShJQIoCDDXc1+P84GGprNxUpZLBo74SLC55RjIs2Th5MQzUASgtQigHYlsiocIFA43a0m8E2QFUJ2qH4D+iLEiqUhiCzwt+odkOHAbQDAmxL/BadFlBygxP67bffDrucaLSOfYA7XGSYeOHuXL9DDLctUIWL6kIsM/YtMh60S0J6BCbYzyglQClHtP/DKByXuNAiM0THBBxf2FahYNB5BAzYB2jDhgs/LuCoVtJ7EuPCh2m4mKB6FBdgVEch0/S/Iw6GfY12Zaji1aum9LaBuOjoGVYo2Nc4h5AxhuplaxQGjMb5g+Md+0U/zowMEo27fYzVh2MKF1OcU9gOOMf0cx3QbgylBXpbRFRX4pGBqDbGdtbbWiIAQOebVMV8NHLMR5mPpno+etddd6n2vUhz2223qf2OYxo1CejQZVTSB6qADA0HDYabwAmCO1hE94js0YYJd096j1YcVGj8jJ2BuwgcqJiGjA87GXeoOBgx9Ap2DE4KNMrXh6fwPzmQSWP4CxzwqMrBSYQMHicx4P/itziIcRDhoMJdIKqsQg2Mjf+Jqh5cONEeDG2r0MkDVQnIaHHw1OdpJ/ifyMDRFg+9BvEkGmTe2E448NCYHCegXkWCTBcNznEBx10m7qL8e2jqUPqB5UJGgt/jwEf1kA6ZHQ50XHywLZBJ4GC+5ZZbQi4nSkGwnKhGxLZENQVObAQYY8eOVRl0cENyHfbTX/7yF7XfkHliH+LuEnfZ6CGqdw6pz/8wAhk+2uxgOdCmCccoSiJCQRsfLDeORX3YFlzEcazqGQSWFeuDTAHHCNYDy6lfGMPBMY3jCMugt/fCcY9peK+tnRgutshc9YttqHaBRi86OAaxnqiiwrL7Z4qRwvmH4w7VwLhw6dvKf/tiH+O4Q+9jwDZFGgQBOB7QPgvHBqqK/dutpiLmo5FhPsp8NNXz0e7du6t9jGMaN/36TSbOOb2k2QgLBlM1/CuiCOHkxoGJ8e/oLFQzIQPRT2w6M1QPMldUnUU6vA9RKmA+Ghrz0dTIR5O+jSoRERERJSYGqkRERERkSqz6JyIiIiJTYokqEREREZkSA1UiIiIiMiUGqkRERERkSgxUiYiIiMiUknLAf/QP83rr30fMarU0yHwSSSquc6qudyquc0OtN+bR2M/sjjfmo9FLxXUGrnfqsMYwH03KQBUb78SJsnrNw263StOmWVJSUi5ud/2fR5wIUnGdU3W9U3GdG3K9mzXLEpstuQNV5qPRScV1Bq536qy3Pcb5KKv+iYiIiMiUGKgSERERkSkxUCUiIiIiU2KgSkRERESmxECViIiIiEyJgSoRERERmRIDVSIiIiIypaQcR5UiH2wXL53NZg149x9PMdUGMyYiSuXrQTi8HlCsMVBNUciQ8vIyawSlkJubEfDZ4/HKqVPlzJyIiFLsehCM1wOKNQaqKZwxIVOauXiTHDxSGjZd2/wcuffW3in5iDgiolTA6wGZGQPVFIdMae83xfFeDCIiijNeD8iM2JmKiIiIiEyJgSoRERERmRIDVSIiIiIyJbZRJUM4hAkRERHFCgNVihiHMCEiIqJYYqBKEeMQJkRERBRLDFTJMA5hQkRERLHAzlREREREZEoMVImIiIjIlBioEhEREZEpMVAlIiIiIlNioEpEREREpsRAlYgoxrxer8yZM0cGDhwovXr1krFjx8qBAwfCpt+9e7eMGzdO+vXrJ/3795cJEybIt99+6/ve4/FIjx49pHPnzgGvZ599NkZrRETUOBioEhHF2Ny5c2XJkiUybdo0ee2111TgOmbMGHG5XDXSnjx5Uu644w5JT0+XP/3pT7JgwQI5ceKESl9VVaXSfPXVV+rvd955R/7xj3/4XqNHj47D2hERNRwGqkREMYRgdNGiRapUtKCgQLp06SKzZ8+Ww4cPy/Lly2uk/+ijj6S8vFyefvpp6dSpk1x00UUyY8YM2bt3r2zevFml2blzp2RnZ6t5tWjRwvfKysqKwxoSETUcBqpERDG0Y8cOKSsrU1X4utzcXOnatasUFRXVSI90KIFFiarOaj2TdZeUlPgC1Y4dO8Zk+YmIYolPpiIiiiGUnELr1q0Dprds2dL3nb+2bduql7/58+erwLVPnz7q865du8Ttdsudd96pAuH8/Hy57bbb5Gc/+1m9ltVur19ZBh657P+eChJxnY0ua6j0ibjeDSEV19sW43VmoEpEFEMVFRXq3el0BkxPS0uT4uK6H02MdqqvvvqqTJ06VZo1a+brbIV2rmhO0KpVK1m9erVMmTJFqqur5cYbb4xqOa1WizRt2jBNB3JzMyTVJPM617ZuybzetUnF9c6N0TozUCUiiiG9Ch9tVf2r89EZKiMjfMavaZo888wz8vzzz8uvf/1r+eUvf+n77u9//7vq+a+3SUVbVYwKsHDhwqgDVa9Xk5KScqkPlLjgYlZSUiEej1dSQSKus77MkQq1bom43g0hFdfb1kDrjHlEUiprOFDFXftzzz0nS5culdLSUlX19PDDD8t5550XMj3u9NHwf8uWLapdFdI/8MADcu655/rSLF68WHUuOHbsmOoogJICtNciIko2epX/0aNHpV27dr7p+IwhpUJByShKSBGQ4v32228P+N4/4NWh49Xf/va3ei2r290wF15czBpqXokimde5tnVL5vWuTSqutydG62yN97Aqb731lurNOnHiRHnzzTdVWyz8BumIiJINSjvRQ3/9+vW+aegUtW3bNl+b02D33XeffPDBB/L73/++RpCK3/bt21fln/62bt0qP/zhDxtpLYiIYsMa72FVXnjhBRk5cqRce+21csEFF8iTTz6pqr9QYktElGzQNhV53syZM2XlypWq89OkSZNU29KhQ4eqKnzULlVWVqr0CEDfe+89lQYBKb7TX0iDEQMuu+wylRejbSrGVEVnK5Smjh8/Pt6rS0QUu0C1oYdVOX78uMpU/ednt9vl0ksvDTk/IqJkgJt9tB1FM6dbbrlFbDabak/qcDjk0KFDcvnll6vgFFDdD7jhx3T/l54GN/hXXXWVPPLIIzJ8+HA1XX/yFRFRIrPHc1gVZMjh5oeguD44rErjD0fSGL+Jh2Tf16Gk4jqbab0RmE6ePFm9giHPxLioOtRi1QVNCdB2FS8ijNiAVyQd5vAiSppAtaGHVdm3b1/Y+eltWKPBYVUaXjTbIdG2XaItb0NIxXVO5fWm5IfrX15eZkQ3Y+gMc+pU/UZ2IDJVoNrQw6r4z89fXfOrC4dVaZzhSKC+Q5iYUbLv61BScZ3jMawKUTwCVRybMxdvkoNHSsOma5ufI/fe2juikleihAlUG3pYFf/5+T/+D5/xZJX64LAqDSuai3qibbtEW96GkIrrnMrrTakDQereb+qu6SQyO2s8h1U555xzpH379gHzw2MAN27cGHZ+RERERJQa7NEOq4I2pm3atFHDTfkPq4LxT3NyclS1vj6sCoJVfVgVnZ5m9OjR8sQTT8gPfvAD6d69u+pshSFXon2aChERERElB3s0w6qg1BMdohBQouRTH1bl4MGDMnjwYJk+fbqMGDEiYFgVvPzpaW666Sb1hKs//OEPcurUKTXW6ksvveR7hjURERERpSZ7vIdVgTvvvFO9iIiIiIh07LZKRERERKbEQJXqxSKaOKVavRMRERHFteqfCM61nZBB6dukp3O/pFncUqXZZYurnXxS2VVEmsR78YiIiCgJMFAlwzq5d0lh7nKxWc6WoiJY7Zu2T3o7v5QV7qEiUhDyt5rmFXFXi9gdYrGwQJ+IiIjCY6BKhlQd+UoKq1cEBKn+MB3fVx0ZKuJs4ZvuOb5fXF98KO4vi0TcLhG7U+zt+4izxzCxnXP24RFEREREOhZpkSHF65eJTWp/og++L96wzPe5es86KX/zMXHv/uxMkApul/qM6fieiIiIKBgDVYoYqu3LdqyNKG3Z9rUqPUpSKz9ZIKJ5wszUo75HOiIiIiJ/DFQpcu5q0aqrIkqq0rmrVXV/2CDVl9gjrq0fNswyEhERUdJgoEqRQwcoR1pESZFOs9nOtEmNgHtf0ZmOVkRERETfY6BKEUMv/awu/SNKm3Vhf7F4PGfbpNYF6TAaABEREdH3GKiSIU36DRdPHYcNvm/Sd7gqgUXv/oggHdITERERfY+BKhmSln++rHAUikezhPwe0/E90qEEFkNQRcLeoQ/HVSUiIqIAHEeVDNtl7yRbvnNIQfp26evcKxYLRgQQ2eDqKKsqL5SMVu19aTFOqhvDT9XWocpiE2f3YbFZeCIiIkoYLMKiqHzraSZLygZIsZapPuMdnzHdHwbzTx80VgWjIVls6nsO+k9ERETBWKJKjc5xwWVibXquGoLKvesz33R7pwGqJJVBKhEREYXCElWKCQSjGQVjxZLVVH3GOz4zSCUiIqJwGKgSERERkSkxUCUiijGv1ytz5syRgQMHSq9evWTs2LFy4MCBsOl3794t48aNk379+kn//v1lwoQJ8u233wakWbx4sQwePFh69Oghv/jFL2Tbtm0xWBMiosbFQJWIKMbmzp0rS5YskWnTpslrr72mAtcxY8aIy1XzARknT56UO+64Q9LT0+VPf/qTLFiwQE6cOKHSV1WdeaTxW2+9JU8//bRMnDhR3nzzTWnbtq36DdIRESUyBqpERDGEYHTRokWqVLSgoEC6dOkis2fPlsOHD8vy5ctrpP/oo4+kvLxcBaKdOnWSiy66SGbMmCF79+6VzZs3qzQvvPCCjBw5Uq699lq54IIL5Mknn5SMjAxZunRpHNaQiKjhMFAlIoqhHTt2SFlZmarC1+Xm5krXrl2lqKioRnqkQwksSlR1VuuZrLukpESOHz8uX331VcD87Ha7XHrppSHnR0SUSDg8FRFRDKHkFFq3bh0wvWXLlr7v/KEaHy9/8+fPV4Frnz595NChQ2Hnh6C4Puz2+pVl2GzWgPdUEO91Nvp/o1nOUL+J93rHSyquty3G68xANYlYrRb1qovXq8VkeYiopoqKCvXudDoDpqelpUlxcXGdv0c71VdffVWmTp0qzZo1k3379oWdn96GNRrIS5o2zZKGkJubIakmUdY5muWs7TeJst4NLRXXOzdG68xANUngopKXlxnRHY7H45XS0sqYLBcRBdKr8NFW1b86H0El2pWGo2maPPPMM/L888/Lr3/9a/nlL39ZY37+6ppfJDe0JSXlUh/Ij3AxKympUPlOKoj3Ouv/P1JYTjD6m+B1i/d6x0sqrretgdYZ84gkZmGgmkSBKnb4zMWb5OCR0rDp2ubnyL239o6o5JWIGp5eRX/06FFp1+7sAy/wuXPnziF/U11dLVOmTJG///3v6v32228POb+OHTsGzC8/P79ey+p2N8yFFxezhppXokiUdY4m0Kht3RJlvRtaKq63J0brzEA1ySBI3ftN3dWHRBQf6OWfnZ0t69ev9wWq6BSFcU/Rcz+U++67T1asWCG///3v5eqrrw747pxzzpH27dur+ekdqtxut2zcuFGNp0pElMgYqBIRxRDakiIgnTlzpmpj2qZNGzXcVKtWrWTo0KHi8XjU+Kc5OTmqWh/jor733nsqWO3bt68cO3bMNy89zejRo+WJJ56QH/zgB9K9e3fV2aqyslJuvPHGuK4rEVF9MVAlIooxjKGKUk90iEJAid77CxcuFIfDIQcPHlRPmJo+fbqMGDFCVfcDxlHFy5+e5qabbpLS0lL5wx/+IKdOnVJjrb700ksqECbz0zSviLtaxO4QiyV1eo8TRYKBKhFRjNlsNpk8ebJ6BcNQVDt37vR9xsMBInHnnXeqFyUOz/H94vriQ3F/WSTidonYnWJv30ecPYaJ7Zyz7ZeJUhkDVYrbkFn+YzSihzGHzSKiVFG9Z51UfrJARPOcneh2iXv3Z+Les07SB40VxwWXhfwtS2AplTBQJR+LaOIQt1SLXTSp/6gAFguGzAocfqLEahFPiDEa0Xvw1KlyBqtElBIlqTWCVH+aR31vbXpuQMkqS2ApFRkOVL1erzz33HPqGdJoE4W2VQ8//LCcd955df5u3Lhx0rNnTxk/fnzAd+hA8PXXXwdMu/766+Wpp54yungUhXNtJ2RQ+jbp6dwvaRa3VGl22eJqJ59UdhWRJg06ZNboiirJFpHi0ir5zaxVNYbMYqBKRMkOwWbYIFWnecS19UPJKBhb7xJYopQKVPHM6SVLlqggEr1U0Vt1zJgxsmzZshpPRtFhIGoEs2vWrFGBqr/y8nI5cOCAzJs3T7p16+ab7j8QNjWeTu5dUpi7XGyWswEigtW+afukt/NLWeEeKiIFDTZkljtPE7GKuL0ah9EiopSDantVIhoB974i0a68U7wnDkZcAmvPP1/i0awr3GM12ayLYhqoIuBEw/57771XCgrOBC+zZ8+WgQMHyvLly+Waa66p8ZvNmzerIBU9W3Nzc2t8v2fPHlXaevHFF0uTJtGX3pFxVUe+ksLqFQFBqj9Mx/dVR4aKOFvEfPmIiJIO2pai2j6itC6V3kgJbFr+r6SxhWrWpQt+whWbdVFMA9UdO3ZIWVmZb1BpQPDZtWtXKSoqChmorl69WgWyd999t1x77bU1vkfv1ubNmzNIjYPi9cvEJrU/VQLfF29YJo7LR8dsuYiIkpbdodqWRhSs2p2i2WzGSmC1M00FzPYkRAaqFJNA9fDhwwGP7NO1bNnS912wSZMm1TpPBKqZmZlqXEGUvjZt2lRuuOEGGTVqlFit0fdm9O9RHo1w1RhmZXQ5LRZNynasjSht2fa10uyK0YZ7lxp9TGuodYhF79ZE29cNIRXXOZXXm8wD+Rg6QKFtaV3sHfqIxeMxXAIbK3wSIpkuUK2oqFDvwW1R09LSpLg4uoN19+7d6vGBw4YNU6WumzZtUu1eMb+JEydGNc/gHuX1EVyNkSyy0qxyrLoqorRadZXkZNjE6jTWbjg7Oz3qbY1mCSjxRTCN/29xpElWl/7SpN9wSWukNljJuq9rk4rrnMrrTeaAXvroAFVrdb7FJs7uwwyXwKr0RKkaqOodnNBW1b+zU1VVlWRkRJfxL1iwQP0ejwKEzp07y+nTp+X5559XowNEU6qKKoaSknKpD5S44GJWUlKh2tiYnb68kSqr8qrgD0FgXZCutMIjlsoKQ//j9OlKQ8Gqvq1du9dK2cr5It6zmTiW8/TWVXL6P2ska/A4cf7wbPOT+kq0fd0QUnGdG3K9MQ+WylK0MJQUeumH7SBlsanv9SGnDJXAclxVSuVAVa/yP3r0qLRrd3bMNnxGgBkNlM4Gl9B26tRJjQaAUlU0BYiG290wF19czBpqXmaiaRZVQongry5ZF/YXr9oExraD0TZJ2NYoSS3/aH74kgavR8o+mi9abusGHzcwWfd1bVJxnVN5vck8MJQUeumjA5R719kg1N5pgCpJ9c/fDJXAEiUZQ7deXbp0kezsbFm/fr1vGqrtt23bpsZTNUrTNBkyZIgal9Xf1q1bpUWLFlEHqRQZVKN76jgE8H2TvsNjtkxGercSESUyBKMYJ9WSdeZah3d8Dr4J10tgEYyGFFQCS5SyJaoo+Rw5cqTMnDlTmjVrJm3atFHtSTGeKgbt93g8cuLECVWNH8k4qBjiorCwUBYuXCgdOnSQiy66SNauXSsvvviiPPTQQ/VZL4oA2nqucBRKoStwHFWdR7PICmeh3JV/vpSfLDPl+IKs5iKiVGCkBJYopQf8R+98t9stU6dOVWOjoiQVgabD4ZCDBw/K4MGDZfr06TJixIiI5nfPPfeoUtpZs2apkQPatm2rgtSbbropmvUhg3bZO8mW7xxSkL5d+jr3isWCgFFkg6ujrKq8UDJatTf1+ILiSGvspSIiMlUJ7OlvtolWdtJXAkuUzAwHqjabTSZPnqxewRBkYripcD7++OOaC2C3q97+eFF8fOtpJkvKBkhnxyHJs5RLsZapPkPHWC4Ie7cSERGRH9abkunGF4wEe7cSERElP17pyVTQuzVshwEde7cSERGlBAaqZCrs3UpERERRt1Elamzs3UpERETAElVK6PEFiYiIKHkxUCUiIiIiU2KgSkRERESmxECViIiIiEyJgSoRERERmRIDVSIiogaiaV7xuirVOxHVH4enIiKKMa/XK88995wsXbpUSktLpU+fPvLwww/LeeedV+fvxo0bJz179pTx48cHfDd06FD5+uuvA6Zdf/318tRTTzXKOlAgz/H94vriQ3F/WSSn8Bhou1M9aQ8PMeFoJUTRY6BKRBRjc+fOlSVLlqggslWrVjJjxgwZM2aMLFu2TJxOZ8jfuFwuFcyuWbNGBar+ysvL5cCBAzJv3jzp1q2bb3p6enqjrwuJVO9ZJ5WfLBDRPGcnul3i3v2ZuPesUw8pwfjQRGQcq/6JiGIIAeeiRYtkwoQJUlBQIF26dJHZs2fL4cOHZfny5SF/s3nzZhkxYoRs3LhRcnNza3y/Z88eVdp68cUXS4sWLXyvnJycGKxRakNJao0g1Z/mUd8jXbxYRBOnVKt3okTDQJWIKIZ27NghZWVl0r9/f980BJ9du3aVoqKikL9ZvXq1DBw4UN5+++2QwefOnTulefPm0qRJk0ZddqoJ1f1hg1Sd5lFP2ou1c20n5Nasf8jvmv5ZZjT7s3rHZ0wnShSs+iciiiGUnELr1q0Dprds2dL3XbBJkybVOk8EqpmZmaqUFqWvTZs2lRtuuEFGjRolVmv05RF2e/3KMmw2a8B7skGHKbRJjYR7X5HYBo8Vi8XaoNs8OL2+rTu5d0lh7nKxWc6WoqZZ3NI3bZ/0dn4pK9xDRaQgqn1jtVoMpU/W/Z8Kx7gZ1pmBKhFRDFVUVKj34LaoaWlpUlxcHNU8d+/eLSUlJTJs2DC5++67ZdOmTardK+Y3ceLEqOaJYKRp0yxpCLm5GZKM0LtfdZyKhNsledkOsTprthsusVrEY2Cb15W+6shXUli9IiBI9Yfp+L7qyFDJzT9fjMrONtb2OVn3f6qtY7zWmYEqEVEM6R2c0FbVv7NTVVWVZGREl/EvWLBA/V5vFtC5c2c5ffq0PP/882p0gGhKVb1eTUpKyqU+UOKCi1lJSYV4PMk3XJMagsruVEFonexOOXW6WiwWT8htrb+fPFlW56xqS49tXrl+mdik9u2N74s3LJP0K8cYDjpOn640FKwm6/5PhWO8MdcZ84ikVJaBKhFRDOlV/kePHpV27c4OW4TPCDCjgdLZ4BLaTp06qdEAUKqKpgDRcLsb5sKLi1lDzctsMAQVevfXma5DH/GoGLX27WB0OwWnR/BctmNtRL8t275W7ANur7M5QrhAOVLJvP9TaR3jtc6p06iCiMgE0Ms/Oztb1q9f75uGavtt27ap8VSN0jRNhgwZosZl9bd161bV8z/aIJUig3FSxWKrPZHFJs7uw2KzQO5q0aqrIkqq0rmrG32RiOqDJapERDGEks+RI0fKzJkzpVmzZtKmTRvVnhTjqWLQfo/HIydOnFDV+JGMg2qxWKSwsFAWLlwoHTp0kIsuukjWrl0rL774ojz00EMxWadUhsH8MU5q2CGqLDb1fcwG/bc7xOJIiyhYRTqkJzIzBqpERDGG3vlut1umTp0qlZWVqiQVgabD4ZCDBw/K4MGDZfr06Wrs1Ejcc889qpR21qxZauSAtm3bqiD1pptuavR1IVGD+VubnquGoHLvOtsMwN5pgCpJjeWTqVCNn9Wlv5zeuqrOtFkX9jdc7U8UawxUiYhizGazyeTJk9UrGIJMDDcVzscff1xjmt1uV7398aL4QDCaUTBWTn+zTbSyk2LJaqo+x0OTfsOleOuntXao8ohVmvQdLvXrLkfU+HgrRURElETS8s+XFY5C8WihxzvFdHyPdERmxxJVIiKiJLPL3km2fOeQgvTt0te5VywWdLwT2eDqKKsqL5SMVu3jvYhEEWGJKhERkYlhYH88gUp/+fOfHvzEqG89zWRJ2QAp1jLVZ7zjM6YTJQqWqBIREZkUgs+8vMyAgdHDPZkK41qWllbGaUmJGgcDVSIiIpNCMIogdebiTXLwSKmaNrqiSrJRQlpaJb+ZdaZ3f9v8HLn31t41SlWJEh0DVSIiIpNDkLr3m2L1tztPUw333F7NN40oWbGNKhERERGZEgNVIiIiIjIlBqpERERElByBqtfrlTlz5sjAgQOlV69eMnbsWDlw4EBEvxszZow8++yzNb57//335aqrrpIePXrIddddp55TTURERESpzXCgOnfuXFmyZIlMmzZNXnvtNV8A6nK5wv4G3z344IOyZs2aGt+tW7dOPUbw5ptvlrfeekv69+8v48aNk7179xpfGyIiIiJKzUAVAeeiRYtkwoQJUlBQIF26dJHZs2fL4cOHZfny5SF/s3nzZhkxYoRs3LhRcnNza3y/YMECGTJkiIwaNUo6duwo999/v3Tr1k1eeeWV6NeKiIiIiFIrUN2xY4eUlZWpUk8dgs+uXbtKUVFRyN+sXr1aNRN4++23JScnJ+A7lMYikPWfH/Tr1y/s/IiIiIgoNRgaRxUlp9C6deuA6S1btvR9F2zSpElh51dSUiLl5eXSqlWriOcXqeDHzBmlPwXE/2kgZhZqOS2iiUPcUi120SRwEGijg0JHsx0a+n9Euk81zSvirhaxO8RisSbdvm4IqbjOqbzeREQpEahWVFSod6fTGTA9LS1NiouNDzpcWVkZdn5VVVUSreDHytVHbm6GJJpzbSdkUPo26encL2kWt1RpdtniaiefVHYVkSYqTXZ2eqNvh4b4H+EeFRhK1ZGvpHj9MinbsVa06iqxONIkq0t/adJvuKTlnx/V/092qbjOqbzeRERJHaimp6f72qrqfwOCyowM4xk/AlJ9fv6inZ/O69WkpKRc6gMlLriYlZRUqOcnm52+vJ3cu6Qwd7nYLJrvOwSrfdP2SW/nl7LCPVRECuT06UpDgSS2g9ELfDT/I3hbY1/q7ydPloX9rWv3WilbOV/Ei7D2DASrp7euktP/WSNZg8eJ84eBTUwSdV83hFRc54Zcb8yDpbJERCYLVPUq/6NHj0q7du180/G5c+fOhv95Xl6eZGZmqt/7w+f8/HypD7e7YS6+uJg11LwaG0oUC6tXBASp/jAd31cdGSreDGPbN5qLuh5kNtS2Dved5/h+Kf9ovojmCbMgHin7aL5oua3Fdk67qP9/MkrFdU7l9SYiSjSGigTQyz87O1vWr18f0M5027Zt0qdPH8P/3GKxyCWXXCIbNmwImI75X3rppYbnl+pQ7W2T2i+++L54wzJJJq4vPgwfpOo0j7i2fhirRSIiIqJYB6poSzpy5EiZOXOmrFy5Uo0CgM5S6Aw1dOhQ8Xg8cuzYMV/b00jccccd8u6778pLL72kxk59+umnZfv27XLbbbdFsz4pCx2I0DYzEmXb157pcJQEsB7uLyMbIcK9ryhp1puIiCgVGG5khTFUb7zxRpk6darccsstYrPZZOHCheJwOOTQoUNy+eWXy3vvvRfx/JD+ySeflD//+c9y/fXXqwcAvPDCC2pMVTLAXa3aZEZCpXOHf0BDQkHv/kjXBemQnoiIiJKvjSogMMWTpPAK1rZtW9m5c2fY33788cchp+OxqXhRPWAoJkdaRMEq0ok9cKSFhGV3nFmXSIJVpEN6IiIiSgjstpokMF4ohmKKRNaF/SMaXzQRYD3s7SNrH23v0Cdp1puIiCgV8KqdRDBeqKeOXYrvm/QdLsnE2WOYiMVWeyKLTZzdh8VqkYiIiKgBMFBNIhjUfoWjUDxa6CdCYTq+j2Tw+0SCIafSB40NH6xabOr72oamIiIiIvNhoJpkdtk7ycySq2V9VUfRvh/GFO/4jOn4Phk5LrhMMkc8IvZOAwKm4zOm43sis/B6vTJnzhwZOHCg9OrVS8aOHSsHDhyI6HdjxoyRZ599tsZ377//vlx11VXSo0cP1eZ/7drIRgEhIjIzBqpJ6FtPM1lSNkCKtUz1Ge/4jOnJDCWmGQVjxZLVVH3GOz6zJJXMZu7cubJkyRKZNm2avPbaa74ANPgpff7w3YMPPihr1qyp8R1GS0EH15tvvlneeust6d+/v4wbN04N+UdElMgYqBIRxRACzkWLFqmh/goKCtSDVGbPni2HDx+W5cuXh/zN5s2bZcSIEbJx40bJzc2t8f2CBQtkyJAhMmrUKDW03/333y/dunWTV155JQZrlNww9jJGU0m1MZgtoolTqtU7UUINT0VERNHDg1LKyspUqacOwWfXrl2lqKhIrrnmmhq/Wb16tWomcPfdd8u1114b8B1KYxHIPvDAAwHT+/XrFzbwpbrh0cx46p16oAiGv7M71Qgj6LyZzLU059pOyKD0bdLTuV/SLG6p0uyyxdVOPqnsii678V48SkEMVE3MarWoV128Xt7xEiUKlJxC69atA6a3bNnS910wPAEwHDzGury8XD0hMNL5Rcpur1+lm81mDXhPFK7da6V85XwRr9+jmd0uce/+TNx710nW4HHi/GHo4QCRY2vfv0ez/YJ/Y3TbRXLNCDf/Tu5dUpi7XGyWs9cUBKt90/ZJb+eXssI9VEQK6vU/kk2iHuOJtM4MVE0KGUFeXmZEB4LH45XS0sgfW0tE8VNRUeF7JLW/tLQ0KS4uNjw//ZHVoeZXVRXZ0+rC5UFNm2ZJQ8jNzZBEUXXkKzkZHKT683qkbOV8yfvBBSFHUCn5PoizGNh++I2ngbZ5dnZ6VPsG611YvSIgSPWH6fi+6shQyTY4ckwi7f9opcI6xmudGaiaFDIsBKkzF2+Sg0dKw6Zrm58j997a2/AdLhHFR3p6uq+tqv43IKjMyDCe8SMg1efnL9r5+dfUlJSUS30gD8PFrKSkQt1QJ4KyNW+GD1J1Xo8cW/OWKlkNpn1fw4X3kyfLIvqfeq2YN8Rv9G0YqdOnKw0Fq9g3ULl+mdik9n2E74s3LJPMQWMN/49E2f+pcIybZZ0xj0gK4xiomhyC1L3fGC9lISJz0qv8jx49Ku3anW3riM+dO3c2PL+8vDzJzMxUv/eHz/n5+fVaVre7YS68uJg11LwaEzpMufYWRZTWtXeDOK8YXeNpd5rfezTrXN/tZLQpGPYN1rtsR2TDmZVtXytpV4xOyv1fH6mwjvFa59RpVEFEZALo5Z+dnS3r168PaGe6bds26dMnsscB+7NYLHLJJZfIhg0bAqZj/pdeemmDLHPKcFef6TgVUVrXmfTJwF2tRjaIhEoX6TYiagAsUaWE6UDm38kApQbsREaJCG1JR44cKTNnzpRmzZpJmzZtZMaMGaoz1NChQ8Xj8ciJEyckJycnoGlAbe644w41bipGDrjiiivkjTfekO3bt8sTTzzR6OuTVOwO1bs/okAM6ZA+GdgdYnGkRRSsIp1ad6IYYYkqmQZKhtCBDJ0J9JcetOqdDPQX0rFdLiUqjKF64403ytSpU+WWW24Rm80mCxcuFIfDIYcOHZLLL79c3nvvvYjnh/RPPvmk/PnPf5brr79ePQDghRdeUGOqUuRQjY8hqCJh79CnRrV/osJ6ZHUJPYpBsKwL+yfNelNiYIkqmboD2eiKKsnG07VKq+Q3s1bV6EDGUlVKRAhM8SQpvIK1bdtWdu7cGfa3H3/8ccjpeGwqXlQ/GCfVvWediFZLhyqLTZzdh0kyadJvuBRv/bTWDlUesUqTvsMl+rEkiIzjbRGZtgMZXu7vA1G869NqGwWBiKg+MJh/+qCxKhgNyWJT3yfboP8YamuFo1A8WuiaKkzH96GG5CJqTCxRJSIi8uO44DKxNj1XXFs/FPeuz3zT7Z0GqJLUZAtSdbvsnWTLdw4pSN8ufZ17xWLBSAgiG1wdZVXlhZLRqn28F5FSEEtUiYiIgiAYzSgYK5aspuoz3vE5WYNU3beeZrKkbIAUa5nqM97xGdOJ4oGBKhERERGZEgNVIiIiIjIlBqpEREREZEoMVImIiIjIlNjrn4iIiOL21EF/fOogBWOgSkRERI381MEM9UCXung8Xjl1qpzBKvkwUCUiIqKYPnUwFD51kEJhoEpEREQxe+ogkRHsTEVEREREpsRAlYiIiIhMiYEqEREREZkSA1VKeZrmFa+rUr0TERGRebAzFaUsz/H94vriQ3F/WSSn3C4Ru1Ps7fuIs8cwsZ3TLt6LR0RElPIYqFJKqt6zTio/WSCiec5OdLvEvfszce9ZJ+mDxorjgsviuYhEREQpz3DVv9frlTlz5sjAgQOlV69eMnbsWDlw4EDY9CdPnpR77rlH+vTpI3379pXHHntMKioqAtIMHTpUOnfuHPB64IEHolsjoghKUmsEqf40j/oe6YiIiCiBSlTnzp0rS5YskaeeekpatWolM2bMkDFjxsiyZcvE6XTWSD9hwgQVmL788stSUlIiDz30kJSXl8vvfvc79T3+RqA7b9486datm+936enp9V03opBQ3R82SNVpHnFt/VAyCsbGarGIiIioPiWqLpdLFi1apILPgoIC6dKli8yePVsOHz4sy5cvr5H+888/lw0bNqigFEFo//795fHHH5d33nlHjhw5otLs2bNHldJefPHF0qJFC98rJyfHyKKlBIto4pRq9U7RQYcptEmNhHtfETtYERERJUqJ6o4dO6SsrEwFnLrc3Fzp2rWrFBUVyTXXXBOQfuPGjSro7Nixo28aqv/x3N9NmzbJVVddJTt37pTmzZtLkyZNGmJ9ktK5thMyKH2b9HTulzSLW6o0u2xxtZNPKruKCLebIe5q1RY1srSuM+kdaY29VERERFTfQBUlp9C6deuA6S1btvR95w+lpsFp0TwgLy9PDh06pD4jUM3MzFSltJs3b5amTZvKDTfcIKNGjRKrNfrRs+z2+o28hecS+7/Hmv5/O7l3SWHucrFZzpaiIljtm7ZPeju/lBXuoSJSoJ6NbITR9NFsBzMsU/BxoNnSVO/+iIJVjAKQniYWS/KN4hbv4zteUnW9iYhSIlDVO0EFt0VNS0uT4uLikOlDtVtF+qqqKvX37t27VdvVYcOGyd13361KWtHuFfObOHGiRAMBT9OmWdIQcnMzJF6qjnwlhdUrAoJUf5iO76uODJXs/PMNzTs7O73Rt4PR/9FQy1RitYinluPAfeGP5PTWVXUvT9cfSbNmyd0EJZ7Hdzyl6noTNRY0SXOIW6rFLpoYK3QgarBAVe/ghLaq/p2dEHRmZNTM+JEGaYMhPUpRYcGCBeqz3iYVPf5Pnz4tzz//vIwfPz6qUlWvV5OSknKpD5S44GJWUlIhHk/s2yni/1euXyY2qf1/4/viDcskc9BYQ4He6dOVhtJjOxi9wBv9H9EsU6h9g/2vv588WVbje8uFQ0T+s0bEW0uHKqtNLF2GhPx9Moj38Z3o6415sFSWiE3TyGSBql6Nf/ToUWnX7uyA6PiMADMYRgX46KOPAqYhcD116pRqLgAocQ0ude3UqZMaDQClqmgKEA23u2EuvriYNdS8jEAnnrIdayNKW7Z9raRdMdrQ/PVgLlLRXNSN/o9olqmufRPy+7y2kl4wNvwQVRab+h7p4rHvYylex3eqrzc6kD733HOydOlSKS0tVcP3Pfzww3LeeeeFHebvt7/9rXz66aeqjf/VV18t9913X0ABAYb5+/rrrwN+d/3116sRWogaQ6RN04jqw1CRAHr5Z2dny/r1633TUG2/bds2ldEGwzS0XfXPPDEKAPTu3Vs0TZMhQ4aoDNvf1q1bVSesaIPUpOCuFq36TPOIuqh0kXYQIgWD+WeOeETsnQYETMdnTOdg/9SY9GH+pk2bJq+99poKXDHMX6gaKEAbfuSjGObvmWeekdWrV8ujjz7q+95/mL9//OMfvheGAySKb9O0r2K+bJTCgSpKPkeOHCkzZ86UlStXqlEAJk2apEpOcTfv8Xjk2LFjUllZqdL37NlTLrnkEpXmiy++kHXr1qlSg+uuu07y8/NVyUBhYaEsXLhQ3nvvPdm/f7+8/vrr8uKLL6qMOaXZHWKJsLe5SocOQmQIHpOKcVItWWduiPCOz3x8KjUmDvMXX6itws09h56rn2IDTdOIYjrgPzJXt9stU6dOVQEpSk0RaDocDjl48KAMHjxYpk+fLiNGjFCBKEpL8TSq2267TXWi+slPfiJTpkzxzQ9PrUIp7axZs1RG3bZtW1UKcNNNN0kqQ0/zrC79I+r0k3Vh/6TsmU6UjDjMX3zgSXN42IcaRxk1UBjVo30fcfYYFvObU3T0DDfKif9IJUabQyVL0zSiegWqNptNJk+erF7BEGQiw/R3zjnnqEeuhmO321Vvf7woUJN+w6V466e13rV6xCpN+g6XyBoJEFG8cZi/2HPtXivlK+cHdqB0u8S9+zNx710nWYPHifOHZ28c6rM9EH5q37+HSo8bjJyc9IBtEm6kErSlLi+vMt/Qg15jTdOQvrGXKV7Mcown8zobDlQpdtLyz5cVjkIpdAU2Vtd5NIuscBbKXfnnS9X3vfKJyNw4zF9soY3kyeAg1Z/XI2Ur50veDy5Qea7R4e5CpQdLHelnLt4kB4+Uqr9HV1RJNqrTS6vkN7PO1KK1zc+Re2/tLTk5GeYbejAvV75zpEUUrKJpGtI39jLFWyIuc6KsMwNVk9tl7yRbvnNIQfp26evcKxYLql1ENrg6yqrKCyWjVft4LyIRGcBh/mKrbM2btQ9FB16PHFvzlipZNTrcXTDt+/RamPT6NkGQuvebMzcm7jxN9RhxezXftFgO82c06Cgrcxlqmob0DTH0oBmZ4RhP9mH+GKgmgG89zWRJ2QDp7DgkeZZyKdYy1Wc422qNiBIBh/mLbVtK196iiNK69m4Q5xWja23vH8k6aH7vDbHOsRjmzyj8D0NN0xph6EGzScRlTpR1Tp1GFUREJsBh/mLIXR350H1Ih/RkqGkamqCFopqmOQpDNqcgMoIlqkREMeQ/zF+zZs2kTZs2qj2p/zB/J06cUNX4qPb3H+YPY6eilNR/mD/Qh/nr0KGDXHTRRbJ27Vo1zF/Kj6Nqd5wZui+SYBXpkJ4ixqZpFAsMVImIYozD/MUGqvExBBV699fF3qEPh/mLApumUWNjoEpEFGMc5i92ME6qe8+60I9L1lls4uw+LJaLRUQR4u0jERElLQzmnz5orApGQ7LY1Pd8Ih2RObFElYiIkprjgsvE2vRccW39UNy7zjYDsHcaoEpSGaQSmRdLVImIKOkhGM0oGCuWrDOjIOAdnxmkEpkbA1WiKMZmxBNZ8E5ERESNh1X/lPDwaMNwz7fWn7WNAaqNDoQdzHN8v7i++FDcXxadGe7G7lQ9itFZg6UyREREDY+BKiU0BKh5eZkBj2EL9WxuPEHj1KnyqIPV6j3rpPKTBYE9h90uNewNehSjMwbawREREVHDYaBKCQ3BKILUmYs3qWdnw+iKKskWkeLSKvnNrFXSNj9H7r21t0obTaCKktQaQao/zaO+R2cNlqwSEdXNIpo4xC3VYhdNQteIEQEDVUoKCFL3flOs/nbnaar1tdur+abVB6r7ax2DETSP6lGMzhlERBTaubYTMih9m/R07pc0i1uqNLtscbWTTyq7ikiTeC8emRA7UxHVAh2mVJvUCLj3FbGDFRFRGJ3cu+Te3Helb9o+FaQC3vEZ0/E9UTAGqjGCamd07NFfNpuITatW7/7Tw3UKojhxV0f2nHCV1nUmPRERBag68pUUVq8QmyV08ytMx/dIR+SPVf8x7vCDk7B4/TIp27FWDXFkcaRJVpf+0qTfcEnLP9/X6YdMwu5QvfsjClaRDumJiCgArns2qb3GCd8Xb1gmjstHx2y5yPxYohrDDj+vzfuj7H9xspzeukoFqYB3fMZ0fI90LFU1D4vFqoagioS9Qx+VnoiIzkKTKBTORKJs+1o2oaIAvKrGCEpSe38X/o4S0/E9qz3MB+Okhn1OuM5iU49iJKLY4cM3EoTb5SucqYtKxyZU5IdV/zHCao/EhSGnME5q2CGqLDb1PYemIooNPnwjwdidqplbJMEq0qkmVHUMtEKpg4GqCas9mgy4nVXIJoPB/DFOKoagcu/6zDfd3mmAKknlxZEoNvjwjcSD6xn6YqCZW12yLuz//fWPpeR0BqOhWHBXs9ojCSAYxTiplqym6jPe8bmuIJXVk0QNI9KHbyAdmQs6DHvqCDnwfZO+w8OOlhPuxX4dyY0lqrFgdxiv9qCEx+pJoobFh28kLoxqs8JRKIWu5SGHqPJoFlnhLJS78s+X8pNlIR+PHU59H5FN5sZA1bTVHpTIWD1JFOeHb1x5J/NSk9ll7yRbvnNIQfp26evcKxYL9qvIBldHWVV5oWS0al/r47GR2C5ucSN0wY9F6v2IbDI/BqoxrPYo3vpprR2q9GoPjqKaGtWTaPPKklWiRnz4BmqoyFS+9TSTJWUDpLPjkORZyqVYy1SfoWOI9AhSKw5/GfaxqwflbHBLyYm3mzGu9kD1Riiq2sNRqNJR6lRPEpHBh29ElDa2D9/wb0up5/B4ZzvK+uNjV4mBagOJpMMMqj1mllwt66s6quqOM78T9RnT8T01vuAG+g15YTFcPckOVkQR5aNmffiG3payadMs9bJ8n2/gXZ+GF9IwWDWGj10lYNV/jDvMGK32oIYVqoF+SdCFpV4N9BuoelJdqPEdOuKxnR0luUjzUXxGG+9aayxi/PCN4LaUoyuqJBtjZ5dWyW9mrarRjpJiN/4489HkwEC1HthhJvGEaqBf14XFUKCqV09GEqyGqJ6MdqQAZsiUCvmomR++gfxk7zfF4s7TVF2l26upzxS78cd1zEeTCwPVWg5Yr6sybNWskQ4zdrY7NR39ogINeWHRqydxkTVaPRnNjU99MuTaju+GyMQbO320/8PoepM58lH9eObDN1JENOOPWxwxzUejyVPMmi+KifNRw4Gq1+uV5557TpYuXSqlpaXSp08fefjhh+W8884Lmf7kyZPy29/+Vj799FOxWCxy9dVXy3333ScZGRm+NO+//748++yzcvDgQenQoYPcf//90r9/f4kH/wP2VC0HrJEOM2n5v2r8BSfTiKZ6MpoLdn0z5NqO7/pk4o2dvr7/I9L1bkzMR+s3Lqr+8I3T32wTreyk7+EblNrjj3uOxiYfjSZPMXu+KCbORw2Xbc+dO1eWLFki06ZNk9dee01luGPGjBGXK3RV54QJE+Trr7+Wl19+WZ555hlZvXq1PProo77v161bJ5MnT5abb75Z3nrrLZWxjhs3Tvbu3SuxhgO2/M3HzpSG6VW33x+wmI7vgR1mqDZ69SSC0ZBCVE8aHSkgmif0RHp8+zP6m8ZOH6v/0diYjzIfpcjGH4+EPv54LPLRVM0Xq+OYjxoKVJGJLlq0SGWaBQUF0qVLF5k9e7YcPnxYli9fXiP9559/Lhs2bJDf/e530q1bN5V5Pv744/LOO+/IkSNHVJoFCxbIkCFDZNSoUdKxY0dVCoC0r7zyisSSkQPW6nUb6jBj8fCRqMk0SoC/cKME4A48c8QjqjoyIH2nAWq6/x16NBfsWGTIRn/T2Olj9T8aG/PR77d3NB0PKaUYeexqLPLRVM0XPXHORw0Fqjt27JCysrKA6qTc3Fzp2rWrFBXVPEA2btwoLVq0UBmnrm/fvqrqatOmTaoUYfPmzTWqp/r16xdyfo2pemtkB2z11uVidTrPVDVEAOmsTg46nahwrPoPPYOXHpBa6xh+Rq+eRLWkmtf31ZM1qkgMXrBRFRaLDNnobxo7faz+R2NL5nzU0PY26bio0dyYUvzHH1cFQoYKkFxRleinYr7oinM+atE0fUTPuuFuf/z48bJlyxZJT0/3TZ84caJUVlbKvHnzAtKjTRXSoh2WP2SoqOa64YYbVGY6f/58ufLKK33fL168WGbOnKlKEqKBVTL6KDVv6XdnBjWti8UittzmolWUqsbEdbE608WSkSNWq1VOlVaJ23PmYM/RSsUqmnjFIqWWHDXNbrNKXk6auvCo3xr8TWOnT9Rlaoh1OF3uEs/3x1SGuxgnjmgWi1TYm6hpNqtFsjOdKr1+GH3/hD/xlB5Ho0T8Y7HlnOM7NvwPN2/pMZFIDlmLiDW7+ZnjNULWnObiPf1d5PPPaWF8mXJaNHr6WCxTpBCkIFCMRnLno8a2N/JRrbrufNSCfDQ95+xnA+eWf/pIfhO8b6uLj/nSO5q0qLF9kNQ/T0nWfDSey6R5qsUpLnFqZ0vVXRYHpojF5vD9xlMS+XXcmnOOeJE+Qtbc5urATcV80RvnfNRQZ6qKigr17nQG3gWnpaVJcXFxyPTBafX0VVVVKlMONz98Hy2suM0W+UVE9WCLNF7XzmRMlrTMyALVtEyxWM/cleNkOutsJ4jg8lacnDqjv2ns9Im8TPVZBwShZ7X0/RV8dPv/D980v4tbWI70yI4nR7pYbVbx6g/JjiRDtlkk4ngDAyB8vwqGfmPRGjd9LJbJeqZdXGNL7nzU4D5NzxR3BIGqDfmo39jHhs6tev7GPzitbfuczVOSOx+NzzKdSXGmXA0vizgsFskK+o3mSIswH01T6Q3lo2qZtNTLFy3xz0cNBar63T/aWPmXBCAz9O996p8+VOcApM/MzFQZqT6/4O9Dza+xYKM6muYb+5E9it8QhWHLaqJekXLknQ2WI0ofxbFq9DeNnT5W/6OxMR/1w3yUDDhT+maJWz6qAuQUzBcdcT5HDYW9rVu3Vu9Hjx4NmI7P+fk1V6RVq1Y10iIzPXXqlLRs2VLy8vJURhvp/IiIEh3zUSKiRgpU0Ts1Oztb1q9f75tWUlIi27ZtU+MABsM09GTFsCo69F6F3r17q7ujSy65xDdNh/lfeumlRhaNiCghMB8lImqkqn+0gRo5cqRqoN+sWTNp06aNzJgxQ93xDx06VDwej5w4cUJycnJUdVXPnj1VBjpp0iQ15l95ebka1Pq6667z3enfcccdarw/9Hi94oor5I033pDt27fLE088YWTRiIgSAvNRIqJG6vUPyERnzZolb775pmrErz9RpW3btuqJKIMHD5bp06fLiBEjVPrjx4/LY489JmvWrFFtqX7yk5/IlClTfO2q4O2331YDYKPU4IILLlADV8friSpERI2N+SgRUSMFqkREREREsdD4Y7EQEREREUWBgSoRERERmRIDVSIiIiIyJQaqRERERGRKDFSJiIiIyJQYqBIRERGRKTFQJSIiIiJTYqAaxOv1ypw5c2TgwIHSq1cvGTt2rBw4cECS3ZEjR6Rz5841XhiQPBnNmzdPfvnLXwZMw5N88MQg7Pcf//jH8sc//lFSYb2nTp1aY79j/RPZqVOn1AD6eEoTnup0yy23yMaNG33fr127Vg2mj6c+YfD8d999N67Lm2yYjzIfZT7KfLTBYMB/OuvZZ5/V+vXrp33yySfa9u3btdGjR2tDhw7VqqqqtGS2atUqrXv37tqRI0e0o0eP+l4VFRVasnn11Ve1Ll26aCNHjvRNO3HihNrvU6ZM0fbs2aP99a9/VdsD78m83nDjjTdqs2bNCtjvx48f1xLZHXfcoV1zzTVaUVGRtm/fPu2xxx7TevTooe3du1ftX+xbrDP+fvHFF7WuXbtq//znP+O92EmD+SjzUeajzEcbir3hQt7E53K5ZNGiRXLvvfdKQUGBmjZ79mxVKrB8+XK55pprJFnt2rVLzj//fGnZsqUkc2nHI488IuvXr1fr6u8vf/mLOBwOefzxx8Vut0vHjh3l66+/lvnz58sNN9wgybreeDDdnj171HPiW7RoIckA++2zzz6TJUuWSO/evdW0//3f/1WPH122bJl6HClKOyZNmqS+w77etm2bvPjii3zkaANgPsp8lPlo4vvaRPkoq/797NixQ8rKygI2cm5urnTt2lWKiookme3cuVMdaMnsP//5j8pE//a3v6mqCn+ozujbt6/KXHWXXXaZfPXVV/Ldd99Jsq73/v37pby8XDp06CDJomnTpurC2L17d980i8WiXiUlJWpfB2ek2NebNm1SFxyqH+ajzEeZjya+pibKRxmo+jl8+LB6b926dcB03B3r3yVzScCJEyfk1ltvlR/96EeqLcqnn34qyQTthZ599lk577zzanyH/duqVauAaXqpyKFDhyRZ1xv7Hf70pz+pdEOGDFGlIaWlpZKoEBRdeeWV4nQ6fdM+/PBDVUKAUr1w+7qiokJOnjwZhyVOLsxHmY/6Yz6amHJNlI8yUPWDDQz+OwbS0tKkqqpKkpXb7ZZ9+/ZJcXGxjB8/Xt1FoSE8qjHQWDoVVFZWhtzvkMz7Hhms1WpVGcwLL7wgDzzwgPzjH/+Qu+66S3WISQabN2+WKVOmyNChQ1VVdKh9rX9GtTXVD/NR5qP+mI8yH60vtlH1k56e7tvI+t/6CZaRkSHJCtU0aHdjs9l8633RRRfJ7t27ZeHChSnRbg/rHXxy6RlrZmamJKtf//rX8otf/EJV80CnTp1UG6ubbrpJtm7dWqOKK9F89NFHqq0keqzOnDnTd+EM3tf652Q+z2OF+SjzUX/MR5mP1hdLVP3oVVVHjx4NmI7P+fn5ksyysrICLirwwx/+UDUgTwWowgi13yGZ9z1KAfTM1X+/Q6JX07766quqZGvQoEGqlEMv2cF5Hmpf40Kak5MTp6VNHsxHmY/6Yz7KfLS+GKj66dKli2RnZ6u7Yh0aDaMnW58+fSRZ4Y4fd0r+6w3//ve/5YILLpBUgP2LRuAej8c3bd26ddK+fXs555xzJFndd999cvvttwdMQwkAJPK+R0/VadOmqbaCs2bNCqiiuvTSS2XDhg0B6bGvcQ7ggkP1w3yU+SjzUeajDYm5sh/sBAxUjKLtlStXqt6rGHoBd4lol5Gs0EsVvRXR+Bs9+fbu3SvTp0+Xf/3rX6pKIxVg6JTTp0/LQw89pIYZwQDdL7/8svzqV7+SZDZs2DDVfu65555TPVdXr14tDz74oBpCKFF7L3/55Zfy5JNPSmFhodp/6G187Ngx9ULnBgzU/cUXX6jzHMc6hlL64IMPZMyYMfFe9KTAfJT5KPNR5qMNiW1Ug0yYMEE1isdTJtBYGHeIaF+EYSmSFe5+UKT/+9//Xn7zm9+o0g8MJfPSSy+ptjapAHf7GP/tiSeekOuvv161L8JdMv5OZoMHD5Y//OEPquPHggULVJXN8OHD1XGQqNAztbq6WlasWKFe/rA/n3rqKZk7d67MmDFDXnnlFWnbtq36OxXaEMYK81Hmo8xHmY82FAtG/W+wuRERERERNRBW/RMRERGRKTFQJSIiIiJTYqBKRERERKbEQJWIiIiITImBKhERERGZEgNVIiIiIjIlBqpEREREZEoMVImIiIjIlBioEhEREZEpMVAlIiIiIlNioEpEREREYkb/H6L+pIQN4yy2AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rhos = [0.0, 0.2, 0.6, 0.8]\n",
    "\n",
    "def exponential_from_def_vect_rhos(size: int, n: int=2, lambd: float=0.4, rho: float=0.5):\n",
    "    \"\"\" \n",
    "    Draw samples from a binomial distribution B(n, p).\n",
    "    Algorithm: first implementation of sum of independent Bernoulli trials.\n",
    "    \"\"\"\n",
    "    return (gaussian_copula(n, size , rho) < (1 - np.exp(-lambd))).sum(axis=1).astype(np.int64)\n",
    "\n",
    "n, lambd = 20, 0.4\n",
    "size = 10000\n",
    "p = 1 - np.exp(-lambd)\n",
    "samples = [exponential_from_def_vect_rhos(size=size, n=n, lambd=lambd, rho=rho) for rho in rhos]\n",
    "\n",
    "\n",
    "support = np.arange(n+1)\n",
    "fig, ax = plt.subplots(ncols=2, nrows=2, figsize=(8, 6))\n",
    "\n",
    "for i, rho in enumerate(rhos):\n",
    "    empirical_prop = np.bincount(samples[i], minlength=n+1) / 10000\n",
    "    plt.sca(ax[i // 2, i % 2])\n",
    "    plt.bar(support, empirical_prop, label='Empirical proportion')\n",
    "    plt.vlines(support, 0, stats.binom.pmf(support, n, p), color='C1', lw=2, alpha=1)\n",
    "    plt.scatter(support, stats.binom.pmf(support, n, p), color='C1', lw=2, alpha=1)\n",
    "    plt.title(f\"Gaussian Copula Samples with ρ={rho}\")\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7da1000-dbf3-4703-a645-0416a2b280c6",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: calcul de la moyenne \n",
    "\n",
    "Calculer (mathématiquement) $\\mathbf{E}[X]$ en fonction de $\\rho$ et vérifier ce résultat en calculant la moyenne empirique de chaque ligne de la matrice `samples` des réalisations de $X$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "193b8cd7-9b4a-45b8-8fce-726817e95809",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6.595 4.490374999999999\n",
      "6.3347 3.7364759099999993\n",
      "5.5235 2.78904775\n",
      "8.6887 2.06759231\n"
     ]
    }
   ],
   "source": [
    "for sample in samples:\n",
    "    print(np.mean(sample), np.var(sample))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24a76c81-5cb5-43f0-8f92-7f474c1870dd",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: représentation graphique de `samples` \n",
    "\n",
    "![](img/empirical_X.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1c663c8b-f2ab-42a2-9b41-9773d05bb238",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "99955b92-dc96-4c8f-9563-e023c24dfa99",
   "metadata": {},
   "source": [
    "## Simulation d'une chaîne de Markov: Urnes d'Ehrenfest\n",
    "\n",
    "On considère $d$ balles ($d > 1$) numérotées de 1 à $d$ et réparties initialement dans deux urnes $A$ et $B$. On note $E = \\{1,\\dots,d\\}$ l'ensemble des balles et on s'intéresse à l'évolution du contenu des urnes après un nombre $n \\ge 1$ de changements d'états. Un changement d'état est modélisé de la façon suivante: \"_on tire un numéro de balle selon la loi uniforme sur $E$ et à un tirage $i$ on déplace la balle numéro $i$ d'une urne à l'autre_\". Le contenu des urnes change au cours du temps et on note $A_n$ le contenu de $A$ à l'itération $n$ (de même $B_n$ est le contenu de $B$ au temps $n$). Ce modèle porte le nom d'[Urnes d'Ehrenfest](https://fr.wikipedia.org/wiki/Mod%C3%A8le_des_urnes_d%27Ehrenfest). \n",
    "\n",
    "Dans le programme de test on prendra $d = 20$ c'est à dire $E = \\{1,\\dots,20\\}$ et le contenu initial $A_0 = \\{1,\\dots,10\\}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6430dd0-2098-4e99-85b3-91d4465b6df8",
   "metadata": {},
   "source": [
    "### Approche naïve\n",
    "\n",
    "On commence par une approche naïve qui consiste à programmer l'évolution du contenu de l'urne. Si on s'intéresse uniquement au nombre de balles dans chaque urne, il est plus commode d'utiliser la propriété de Markov du système, aussi bien pour l'étude mathématique que pour la programmation."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7effa6b-61d8-48d9-b41a-d685e139db0b",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: pour manipuler le type `list`\n",
    "\n",
    "En utilisant le type `list` initaliser les listes `E` et `A_0`, puis programmer l'évolution du contenu de l'urne pas à pas (par exemple en utilisant les méthodes `remove` et `append`). Afficher le résultat `A_n` et `B_n` après `n = 100` itérations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ec797691-c22a-4586-8e9b-5e91f86f1389",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial set A_0: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
      "Final set A_n after 100 steps: [1, 2, 5, 8, 9, 10, 11, 16]\n",
      "Complement set B_n: [3, 4, 6, 7, 12, 13, 14, 15, 17, 18, 19, 20]\n"
     ]
    }
   ],
   "source": [
    "d = 20\n",
    "n = 100\n",
    "\n",
    "E = list(range(1, d+1))\n",
    "A_0 = list(range(1, (d//2)+1))\n",
    "A_n = A_0.copy()\n",
    "for i in range(n):\n",
    "    d_n = np.random.randint(1, d+1)\n",
    "    if d_n in A_n:\n",
    "        A_n.remove(d_n)\n",
    "    else:\n",
    "        A_n.append(d_n)\n",
    "\n",
    "A_n = sorted(A_n)\n",
    "B_n = [d for d in E if d not in A_n]\n",
    "print(\"Initial set A_0:\", A_0)\n",
    "print(\"Final set A_n after\", n, \"steps:\", A_n)\n",
    "print(\"Complement set B_n:\", B_n)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6850ed86-fd79-4a46-be3a-9db1fadaacab",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: pour manipuler le type `set`\n",
    "\n",
    "Reprendre la question précédente avec le type `set` et les méthodes associées: `add` et `remove`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "1cd2a51b-a62e-48ef-beb3-aab46c423343",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial set A_0: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n",
      "Final set A_n after 100 steps: {1, 10, 3, 20}\n",
      "Complement set B_n: {2, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}\n"
     ]
    }
   ],
   "source": [
    "d = 20\n",
    "n = 100\n",
    "\n",
    "E = set(range(1, d+1))\n",
    "A_0 = set(range(1, (d//2)+1))\n",
    "A_n = A_0.copy()\n",
    "for i in range(n):\n",
    "    d_n = np.random.randint(1, d+1)\n",
    "    if d_n in A_n:\n",
    "        A_n = A_n - {d_n}\n",
    "    else:\n",
    "        A_n = A_n | {d_n}\n",
    "\n",
    "B_n = E - A_n\n",
    "print(\"Initial set A_0:\", A_0)\n",
    "print(\"Final set A_n after\", n, \"steps:\", A_n)\n",
    "print(\"Complement set B_n:\", B_n)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b23a99ea-95d8-4690-8416-8e7e2c55e383",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question facultative\n",
    "\n",
    "Cette construction itérative nécessaire dans des dynamiques plus complexes peut être améliorée de la façon suivante. Si on construit un vecteur `sample` des `n` réalisations de la loi uniforme sur $E$, on peut en déduire directement la composition des urnes à l'itération $n$. En effet la balle $i$ n'a pas changé d'urne entre 0 et $n$ si et seulement si le numéro $i$ apparait un nombre pair de fois dans `sample`.\n",
    "\n",
    "Construire directement `A_n` et `B_n` à partir d'un vecteur `sample` de taille `n` qui contient les réalisations de la loi uniforme sur $E$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 252,
   "id": "4cf7abde-cfae-4cc0-9b02-df4b25fad5f3",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initial set A_0: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}\n",
      "Final set A_n after 100 steps: {1, 2, 11, 12, 14, 15, 16, 19}\n",
      "Complement set B_n: {3, 4, 5, 6, 7, 8, 9, 10, 13, 17, 18, 20}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d = 20\n",
    "n = 100\n",
    "\n",
    "E = set(range(1, d+1))\n",
    "A_0 = set(range(1, (d//2)+1))\n",
    "A_n = A_0.copy()\n",
    "\n",
    "U = np.random.randint(1, d, size=n)\n",
    "\n",
    "empirical_prop = np.bincount(U, minlength=(d-1)) / n\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.hist(U, bins=np.arange(1, d+2)-0.5, density=True, alpha=0.6, color='g', label='Empirical distribution')\n",
    "\n",
    "A_n = {d for d in A_0 if np.count_nonzero(U == d)%2 == 0}\n",
    "A_n = A_n | {d for d in (E - A_0) if np.count_nonzero(U == d)%2 == 1}\n",
    "\n",
    "B_n = E - A_n\n",
    "\n",
    "print(\"Initial set A_0:\", A_0)\n",
    "print(\"Final set A_n after\", n, \"steps:\", A_n)\n",
    "print(\"Complement set B_n:\", B_n)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03408529-c663-4580-a43e-31fbeea7ae26",
   "metadata": {},
   "source": [
    "### Modélisation en tant que chaîne de Markov"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "265a3304-71c1-47cc-a699-b3db2e9568fc",
   "metadata": {},
   "source": [
    "On s'intéresse maintenant non plus à la composition de l'urne $A_n$ mais uniquement à sa taille. On note $X_n = \\mathrm{Card}(A_n)$. L'évolution de $X_n$ se fait de la façon suivante: si l'urne $A_n$ contient $X_{n}$ balles alors la probabilité de tirer une balle présente dans $A_n$ est $\\frac{X_{n}}{d}$. Ainsi avec probabilité $\\frac{X_{n}}{d}$, $X_{n+1} = X_n - 1$ (car on déplace la balle dans l'urne $B$), et avec probabilité $\\frac{d-X_n}{d}$ on a $X_{n+1} = X_n + 1$. La récurrence aléatoire suivante permet de construire une trajectoire $(X_0, \\dots, X_n)$ \n",
    "\n",
    "$$\n",
    "    \\forall k \\ge 0, \\quad X_{k+1} = X_k + 1 - 2 \\mathbf{1}_{ \\left\\{U_{k+1} < \\frac{X_k}{d} \\right\\}}, \\qquad X_0 \\in \\{0,\\dots,d\\},\n",
    "$$\n",
    "\n",
    "avec $(U_k)_{k \\ge 1}$ une suite de variables aléatoires indépendantes de loi uniforme sur $[0,1]$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "958ec13c-0c4f-4139-bede-b4e92d688668",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: simulation de $N$ trajectoires \n",
    "\n",
    "Ecrire une fonction qui permet de simuler $N$ trajectoires indépendantes $(X_0^{(j)},\\dots, X_n^{(j)})_{1 \\le j \\le N}$ de la dynamique précédente, et qui renvoie donc un `np.array` de dimension `(N, n+1)` qui contient ces trajectoires. A vous déterminer les arguments de cette fonction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 257,
   "id": "cc970455-7426-4559-9932-d2876c974a0a",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "d = 20\n",
    "\n",
    "def markov_chain(N : int, n : int):\n",
    "    U = rng.random((n+1, N))\n",
    "    X = np.zeros((n+1, N))\n",
    "    X[0] = d // 2\n",
    "    for k in range(n):\n",
    "        X[k+1] = X[k] + 1 - 2 * (U[k+1] < X[k]/d)\n",
    "    return X.T"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1b08152-72c9-4330-83b3-e45cec91099e",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: affichage de trajectoires \n",
    "\n",
    "Reproduire le graphe suivant qui représente l'évolution de 5 trajectoires de $(X_k)_{0 \\le k \\le n}$ avec $n=20$. \n",
    "\n",
    "![](img/paths.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 265,
   "id": "2eace689-3b2d-40c1-9b4c-8ccee3dd846a",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples = markov_chain(5, 20)\n",
    "fig, ax = plt.subplots(figsize=(8, 4), layout='tight')\n",
    "\n",
    "for traj in samples:\n",
    "    ax.plot(traj, lw=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d17c0fdd-dfcd-4f12-ab26-877cac031430",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: représentation de la loi après $n$ itérations \n",
    "\n",
    "Représenter la distribution empirique de $(X^{(j)}_n)_{1 \\le j \\le N}$ pour $N=100\\,000$ et deux valeurs de $n$, $n = 100$ puis $n = 101$. Que remarque-t-on? Etait-ce prévisible? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 267,
   "id": "5197f282-e3f3-424f-86fb-511db2482962",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Empirical distribution after odd number of steps')"
      ]
     },
     "execution_count": 267,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples_pair = markov_chain(N=100000,n=100)\n",
    "\n",
    "empirical_prop = np.bincount(samples_pair[:,-1].astype(np.int64), minlength=(d+1)) / 100000\n",
    "\n",
    "samples_impair = markov_chain(N=100000,n=101)\n",
    "\n",
    "empirical_prop_impair = np.bincount(samples_impair[:,-1].astype(np.int64), minlength=(d+1)) / 100000\n",
    "\n",
    "fig, ax = plt.subplots(ncols=2, figsize=(12, 5), layout='tight')\n",
    "ax[0].bar(range(d+1), empirical_prop, alpha=0.6, label='Empirical distribution (n even)')\n",
    "ax[0].set_title(\"Empirical distribution after even number of steps\")    \n",
    "ax[1].bar(range(d+1), empirical_prop_impair, alpha=0.6, label='Empirical distribution (n impair)')\n",
    "ax[1].set_title(\"Empirical distribution after odd number of steps\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2308287a-fd8c-4a1c-bb2e-359ddfbca5a5",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "#### Question: modification de la dynamique\n",
    "\n",
    "On modifie un peu la modélisation précédente en considérant la règle suivante: _\"on tire un numéro de balle selon la loi uniforme sur $E$ et à un tirage $i$ on déplace la balle numéro $i$ d'une urne à l'autre **avec probabilité 1/2**\"_.\n",
    "\n",
    "Refaire les questions précédentes avec ce nouveau modèle.\n",
    "On peut montrer que si $X_{n} \\sim \\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$ (loi binomiale) alors $X_{n+1} \\sim \\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$. On dit que la loi binomiale $\\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$ est invariante pour la chaine de Markov. De plus pour toute configuration initiale $X_0$ la chaine $(X_n)_{n \\ge 0}$ converge en loi vers cette mesure invariante $\\mathcal{B}\\bigl(d, \\frac{1}{2}\\bigr)$. On veut illustrer cette convergence.\n",
    "\n",
    "Comparer cette loi binomiale avec l'histogramme empirique de la loi $X_n$ pour $n$ grand (par exemple $n = 100$, vous pouvez choisir $X_0$ fixé à 10)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 268,
   "id": "2686f1b7-b496-4d2b-82dd-b85b98590ff9",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d = 20\n",
    "\n",
    "def markov_chain_modified(N : int, n : int):\n",
    "    U = rng.random((n+1, N))\n",
    "    V = rng.random((n+1, N))\n",
    "\n",
    "    X = np.zeros((n+1, N))\n",
    "    X[0] = d // 2\n",
    "    for k in range(n):\n",
    "        X[k+1] = X[k] + (V[k+1] < 0.5) * (1 - 2 * (U[k+1] < X[k]/d))\n",
    "    return X.T\n",
    "\n",
    "samples = markov_chain_modified(5, 20)\n",
    "fig, ax = plt.subplots(figsize=(8, 4), layout='tight')\n",
    "\n",
    "for traj in samples:\n",
    "    ax.plot(traj, lw=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 269,
   "id": "348ad0c1-7be4-47f9-8731-30ff57e37cff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Empirical distribution after odd number of steps')"
      ]
     },
     "execution_count": 269,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples_pair = markov_chain_modified(N=100000,n=100)\n",
    "\n",
    "empirical_prop = np.bincount(samples_pair[:,-1].astype(np.int64), minlength=(d+1)) / 100000\n",
    "\n",
    "samples_impair = markov_chain_modified(N=100000,n=101)\n",
    "\n",
    "empirical_prop_impair = np.bincount(samples_impair[:,-1].astype(np.int64), minlength=(d+1)) / 100000\n",
    "\n",
    "fig, ax = plt.subplots(ncols=2, figsize=(12, 5), layout='tight')\n",
    "ax[0].bar(range(d+1), empirical_prop, alpha=0.6, label='Empirical distribution (n even)')\n",
    "ax[0].set_title(\"Empirical distribution after even number of steps\")    \n",
    "ax[1].bar(range(d+1), empirical_prop_impair, alpha=0.6, label='Empirical distribution (n impair)')\n",
    "ax[1].set_title(\"Empirical distribution after odd number of steps\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c204b7fe-c569-47de-9515-cff937fb6fc7",
   "metadata": {},
   "source": [
    "## Processus de Poisson \n",
    "\n",
    "On considère un processus de Poisson de paramètre (ou intensité) $\\lambda > 0$, c'est à dire un processus de comptage associé à un processus ponctuel $(T_n)_{n \\ge 1}$ où les variables aléatoires $T_n$ (appelées instants de sauts) sont définies par\n",
    "\\begin{equation*}\n",
    "    \\forall n \\ge 1, \\quad T_n - T_{n-1} = S_n, \\qquad \\text{en posant $T_0 = 0$}\n",
    "\\end{equation*}\n",
    "avec $(S_n)_{n \\ge 1}$ suite _i.i.d._ de loi exponentielle de paramètre $\\lambda > 0$.\n",
    "\n",
    "Pour tout $t \\ge 0$, on définit \n",
    "\\begin{equation*}\n",
    "    N_t = \\sum_{n \\ge 0} \\mathbf{1}_{T_n \\le t},\n",
    "\\end{equation*}\n",
    "et on veut simuler une trajectoire de $(N_t)_{t \\in [0,T]}$ pour un horizon  $T > 0$ fixé. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddbbba1c-f7fe-4f21-b09b-7a896565bae1",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation de trajectoires \n",
    "\n",
    "Ecrire une fonction `one_poisson_path(lambd, T)` qui renvoie les instants $(T_0, \\dots, T_n)$ d'un processus de Poisson d'intensité `lambd` restreint à $[0, T]$. Par convention, on veut que le dernier point du tableau renvoyé soit $T$.  \n",
    "Reproduire le tracé suivant.  \n",
    "![](img/poisson.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "id": "c643e305-2d27-4745-9773-e6a4aec39d6f",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [],
   "source": [
    "def one_poisson_path(lambd, T):\n",
    "    E = stats.expon(scale=1/lambd)\n",
    "    T_n = 0\n",
    "    path = [T_n]\n",
    "    while T_n < T:\n",
    "        S = E.rvs()\n",
    "        T_n += S\n",
    "        path.append(T_n)\n",
    "    path = path[:-1]\n",
    "    path.append(np.float64(T))\n",
    "    return path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 325,
   "id": "708ee422",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Time')"
      ]
     },
     "execution_count": 325,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lambd = 0.5\n",
    "T = 10\n",
    "path = one_poisson_path(lambd, T)\n",
    "fig, ax = plt.subplots(figsize=(8, 4), layout='tight')\n",
    "ax.step(range(len(path)), path, where='post', lw=2)\n",
    "ax.set_title(\"Poisson Process Path\")\n",
    "ax.set_xlabel(\"Event Index\")\n",
    "ax.set_ylabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e324299-9b18-4156-b4e3-d5e8f578d823",
   "metadata": {
    "tags": [
     "question"
    ]
   },
   "source": [
    "### Question: simulation alternative \n",
    "\n",
    "On rappelle que si $(N_t)_{t \\ge 0}$ est un processus de Poisson d'intensité $\\lambda > 0$, alors conditionnellement à l'événement $N_T = n$ les instants de sauts $(T_k)_{k=1,\\dots,n}$ (tels que $0 < T_1 < \\dots < T_n \\le T$) ont même loi que le réordonnement croissant d'un vecteur $(U_1, \\dots, U_n) \\sim \\mathcal{U}([0,T]^n)$.\n",
    "\n",
    "Reprendre la question précédente en utilisant cette propriété. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 334,
   "id": "82292154-bec4-49aa-8578-751dee5cf756",
   "metadata": {
    "tags": [
     "aremplir"
    ]
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Time')"
      ]
     },
     "execution_count": 334,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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cupKa5d7NCBAAAAAALCNAAAAAALCMAAEAAADAMgIEAAAAAMsIEAAAAAC8uYwrAAAAvHkNg5UbE+RCUrLTTfGss+cvi1cQIAAAABCQaxjAvuioCHE7AgQAAABs8V+7ICxMpFBsXqeb41kx+fJIu6YVxO0IEAAAAAgIDQ9T+jV2uhmeFBkZLvHxMZKYeEFSUtLEzZhEDQAAAMAyAgQAAAAAywgQAAAAACwjQAAAAACwjAABAAAAwDICBAAAAADLCBAAAAAALCNAAAAAALCMAAEAAADAMgIEAAAAAMsIEAAAAAAsI0AAAAAACK4Acf78eRk9erQ0adJE7r33Xhk0aJCcPn3a6WYBAAAAIccTAaJ///6yYcMGGT9+vCxevFiSkpKka9eucuXKFaebBgAAAIQU1weIXbt2ycaNG2Xs2LHSvHlzufPOO+W1116TEydOyOrVq51uHgAAABBSXB8gDh06ZO7r16+f8VhMTIyUK1dOtmzZ4mDLAAAAgNDj+gBRvHhxc3/06NGMx1JTU+XYsWNy5swZB1sGAAAAhJ5IcblatWpJxYoVzSTqKVOmSMGCBWXGjBmSmJgoycnJOd5uZKQz2SkiIjzLPbKPGtpHDe2jhvZRQ/uooX3UMPCcOsbyuggP7YuuDxBRUVEya9YsGTx4sDRr1kzy5Mkjbdu2lZYtW0p4eM4KHB4eJvHxMeKkuLh8jr5/MKCG9lFD+6ihfdTQPmpoHzW0R4+t3HKM5XVxHtgXXR8gVKVKlWTFihVy9uxZiYyMlNjYWHnyySelYcOGOdpeWlq6+HwXxQmaKnXH8PmSJDU1zZE2eB01tI8a2kcN7aOG9lFD+6hhYOixlf8+MfGC083xpAiH90V9b6u9H5FeuAZE7969ZcSIEVK1alXz2JEjR2Tnzp0ycODAHG83JcXZPxK6YzjdBq+jhvZRQ/uooX3U0D5qaB81DBzqGPz7ousHWWlvQ3p6urkGxL59++R//ud/pE+fPqb3oVGjRk43DwAAAAgprg8QaurUqWbydKdOnaRXr15yzz33yMyZM51uFgAAABByXD+ESZUoUcJMpAYAAADgLE/0QAAAAABwBwIEAAAAAMsIEAAAAAAsI0AAAAAAsIwAAQAAAMAyAgQAAAAAywgQAAAAACwjQAAAAACwjAABAAAAwDICBAAAAADLCBAAAAAALCNAAAAAALCMAAEAAADAMgIEAAAAAMsIEAAAAAAsI0AAAAAAsIwAAQAAAMAyAgQAAAAAywgQAAAAACwjQAAAAACwjAABAAAAwDICBAAAAIDgChApKSkyffp0admypdStW1c6d+4s27dvd7pZAAAAQMjxRICYM2eOvP/++zJu3DhZuXKlVKhQQXr06CEnTpxwumkAAABASPFEgFi3bp20adNGmjRpIuXKlZOhQ4fKb7/9Ri8EAAAAkMs8ESCKFCki69evlyNHjkhqaqosW7ZMoqKipGrVqk43DQAAAAgpkeIBw4cPl/79+8sDDzwgEREREh4eLjNnzpSyZcvmeJuRkc5kp4iI8Cz3yD5qaB81tI8a2kcN7aOG9lHDwHPqGMvrIjy0L3oiQOzfv18KFCggs2fPlhIlSpj5EIMGDZJFixZJtWrVsr298PAwiY+PESfFxeVz9P2DATW0jxraRw3to4b2UUP7qKE9emzllmMsr4vzwL7o+gBx9OhRGThwoCxcuFDq169vHqtVq5YJFdoL8eabb2Z7m2lp6eLzXRQnaKrUHcPnS5LU1DRH2uB11NA+amgfNbSPGtpHDe2jhoGhx1b++8TEC043x5MiHN4X9b2t9n64PkD8+OOPkpycbEJDZnXq1JGvvvoqx9tNSXH2j4TuGE63weuooX3U0D5qaB81tI8a2kcNA4c6Bv++6PpBViVLljT3e/bsyfL43r17pXz58g61CgAAAAhNrg8QtWvXlnvuuUeGDBki3333nRw6dEimTZsm3377rfTs2dPp5gEAAAAhxfVDmHTFJb2QnIaGYcOGyblz56RKlSpmToQOYwIAAACQe1wfIFTBggVl9OjR5gYAAADAOa4fwgQAAADAPQgQAAAAACwjQAAAAACwjAABAAAAwDICBAAAAADLCBAAAAAALCNAAAAAALCMAAEAAADAMgIEAAAAAMsIEAAAAAAsI0AAAAAAsIwAAQAAAMAyAgQAAAAAywgQAAAAACwjQAAAAACwjAABAAAAwDICBAAAAADLCBAAAAAALCNAAAAAALCMAAEAAADAMgIEAAAAAMsIEAAAAAAsixSX27x5s3Tt2vW6z91xxx3yxRdf5HqbAAAAgFDl+gBRt25d2bhxY5bHtm/fLi+88IL07dvXsXYBAAAAocj1ASIqKkqKFSuW8f3Fixdl4sSJ0r59e3niiSccbRsAAAAQajw3B2Lu3LmSlJQkQ4YMcbopAAAAQMhxfQ9EZmfOnJGFCxfKwIEDpVChQra2FRnpTHaKiAjPco/so4b2UUP7qKF91NA+amgfNQw8p46xvC7CQ/uipwLEkiVLpECBAtKxY0db2wkPD5P4+BhxUlxcPkffPxhQQ/uooX3U0D5qaB81tI8aiu1jK7ccY3ldnAf2RU8FiJUrV0q7du0kOjra1nbS0tLF57soTtBUqTuGz5ckqalpjrTB66ihfdTQPmpoHzW0jxraRw0DQ4+t/PeJiRecbo4nRTi8L+p7W+398EyA2L17t/z888/Stm3bgGwvJcXZPxK6YzjdBq+jhvZRQ/uooX3U0D5qaB81DBzqGPz7ovsHWf2frVu3SpEiRaRq1apONwUAAAAIWZ4JEDt37pS77rrL6WYAAAAAIc0zAeLkyZO2V14CAAAAYI9n5kD87W9/c7oJAAAAQMjzTA8EAAAAAOcRIAAAAABYRoAAAAAAYBkBAgAAAIBlBAgAAAAAlhEgAAAAAFhGgAAAAABgGQECAAAAgGUECAAAAACWESAAAAAAWEaAAAAAAGAZAQIAAACAZQQIAAAAAJYRIAAAAABYRoAAAAAAYFmk9ZcCAAAEly07j8vKjQlyISnZ6aZ42tnzl51uAtweIK5cuSLLly+Xb775Rk6ePCkTJkyQLVu2SI0aNaR27dqBbyUAAMBtsGLDATl6+qLTzQga0VERTjcBbgwQZ86ckW7dusnBgwelYsWKsn//frl06ZJ8+eWXMmnSJFm4cKHUrVv39rQWAAAggC5dSTX3YWEihWLzOt0cT4vJl0faNa3gdDPgxgDx2muvyYULF2TNmjVSpkwZqVmzpnl8xowZ0r17d3P/zjvv3I62AgAA3BYaHqb0a+x0MzwrMjJc4uNjJDHxgqSkpDndHLhtEvX69eulf//+Uq5cOQnTuP5/8ubNK88++6zs2LEj0G0EAAAA4NUAcfnyZSlUqNB1n4uIiJDkZCYhAQAAAMEq2wGiVq1asmTJkus+t2rVqowhTYG2cuVKeeSRR8z7P/roo/LJJ5/clvcBAAAAEMAAocOXNm3aJI8//rhMnz7dDGP6+OOPpXfv3vLpp59Kv379JNA+/PBDGT58uHTu3FlWr14tbdq0kQEDBsi2bdsC/l4AAAAAAhgg6tevbyZJ58uXTxYsWCDp6elm5SVdznXevHnSsGFDCSTdvgaVrl27mgBRtmxZ6dOnj9x///1m6VgAAAAALr8ORIMGDWTp0qVm+dZz585JbGysxMTEBL51IpKQkCC//PKLtG3bNsvjb7311m15PwAAAAC34UrU58+fF5/PZ77WEKE3v9KlS0sgA4S6ePGiWSZ2586dcscdd5heiFatWgXsfQAAAADchgCxe/dueeWVV8wF5G5k165dEigaVNSQIUPk+eefl0GDBsnatWulb9++ZihVo0aNcrxesRMiIsKz3CP7qKF91NA+amgfNbSPGgaWU8cGwYB9MbRqmO0AMWrUKElMTJTBgwffcDnXQMqTJ4+5196H9u3bm6+rVatmeiJyGiDCw8PMxU6cFBeXz9H3DwbU0D5qaB81tI8a2kcNc06PCdxybBAM2BdDo4bZDhB79+6VN954Q1q2bCm5oUSJEua+SpUqWR6vXLmyfPnllznaZlpauvh8F8UJmip1x/D5kiQ1lSs15gQ1tI8a2kcN7aOG9lFD+/SYwH+vV1FGzrAver+G+t5Wez+yHSB+97vfSVJSkuSWGjVqmAnaP/74o1kBKnOQ0RWZcsrpy6zrjuF0G7yOGtpHDe2jhvZRQ/uoYWBQQ/vYF0OjhtkOEHr9hUmTJknRokWldu3aEh0dLbeTbr9Hjx4ye/Zs0xuh76nXgtBrUejysQAAAABcHCAqVKhgrs3QrVu36z6vF5bT+QmBpBOm9boTOnTq+PHjUqlSJZk5c6bcd999AX0fAAAAAAEOEMOGDZOzZ89Kx44dTS9EbnnmmWfMDQAAAICHAoT2LkycOFEeeeSR29MiAAAAAK6V7YVmixcvboYTAQAAAAg92Q4Qzz33nEybNk0OHTp0e1oEAAAAIHiGMH322Wdy5MgR+cMf/iBxcXESGxt7zSTqdevWBbKNAAAAALwaIIoVKyatW7e+Pa0BAAAAEFwBQidQAwAA523ZeVxWbkyQC0nJTjfFs86ev+x0E4DgDBC//vqr6XnIkyeP+fpWSpcuHYi2AQCAm1ix4YAcPX3R6WYEheioCKebAARXgHjggQdk2bJl5irQrVq1MvMcbmbXrl2Bah8AIEhx9jxwZ8/1v+VCsXmdbo5nxeTLI+2aVnC6GUBwBYhSpUrJlStXzNcTJky4ZYAAAOBWOHseOCUL55fxzzV0uhmeFBkZLvHxMZKYeEFSUtKcbg4QXEOYoqKizNcdOnS43W0CAISAS1dSzT1nz+3h7DkA10+iBgAgkDQ8TOnX2OlmeBJnzwF44kJyAAAAAEKX5R6Ifv36ZQxjuhkuJAcAAAAEL8sBonr16lK4cOHb2xoAAAAAwdMDocu4AgAAAAhdzIEAAAAAYBkBAgAAAEBgA0T79u0lPj7e+lYBAAAAhO4ciIkTJ97+lgAAAABwPYYwAQAAALCMAAEAAADAMgIEAAAAgMBfB8JJx48fl2bNml13bkaHDh0caRMAAAAQijwRIHbv3i158+aVdevWSVhYWMbjBQoUcLRdAAAAQKjxRIDYu3evlC9fXooXL+50UwAAAICQ5ok5EHv27JFKlSo53QwAAAAg5HmmB0IvZNe5c2dJSEiQcuXKSZ8+fa47L8KqyEhnslNERHiWe2QfNbSPGtpHDQPLqb/JXsd+aB81DAzqGFo1dH2ASElJkYMHD0rlypVl6NChEhsbK6tXr5aePXvKO++8I40aNcr2NsPDwyQ+PkacFBeXz9H3DwbU0D5qaB81zDn9W+yWv8lex35oHzUMDOoYGjV0fYCIjIyUzZs3S0REhERHR5vHatasKfv27ZO33norRwEiLS1dfL6L4gRNlbpj+HxJkpqa5kgbvI4a2kcN7aOG9unfYv99YuIFp5vjSeyH9lHDwKCO3q+hvrfV3g/XBwgVE3Ptmak777xTNm7cmONtpqQ4u3PrjuF0G7yOGtpHDe2jhoFBDe1hP7SPGgYGdQyNGrp+kJX2NNSrV8/0QmT2008/mWFNAAAAAHKP6wOErr5UsWJFGTt2rGzdulUOHDhgLiC3fft2M5EaAAAAQO5x/RCm8PBwmTt3rkyZMkVeeukl8fl8Ur16dTOBukqVKk43DwAAAAgprg8QqmjRoqbXAQAAAICzXD+ECQAAAIB7ECAAAAAAWEaAAAAAAGAZAQIAAACAZQQIAAAAAJYRIAAAAABYRoAAAAAAYBkBAgAAAIBlBAgAAAAAlhEgAAAAAFhGgAAAAABgGQECAAAAgGUECAAAAACWESAAAAAAWEaAAAAAAGAZAQIAAACAZQQIAAAAAJYRIAAAAABYRoAAAAAAYBkBAgAAAIBlkdZfCgDw27LzuKzcmCAXkpKdbopnnT1/2ekmAABygAABADmwYsMBOXr6otPNCArRURFONwEAEKwBIiEhQTp06CAjR4409wDglEtXUs19WJhIodi8TjfHs2Ly5ZF2TSs43QwAQDAGiOTkZBk0aJBcvMgZPwDuoeFhSr/GTjfDkyIjwyU+PkYSEy9ISkqa080BAATbJOqZM2dKbGys080AAAAAQponAsT3338vy5Ytk0mTJjndFAAAACCkuX4Ik8/nk8GDB8uIESOkVKlSAe06d0JERHiWe2QfNbSPGgaWU39PvI790D5qaB81DAzqGFo1dH2AGDNmjNStW1fatm0bsG2Gh4eZcbdOiovL5+j7BwNqaB81tPd3xC1/T7yO/dA+amgfNQwM6hgaNXR1gFi5cqVs3bpVVq1aFdDtpqWli8/nzGRsTZW6Y/h8SZKayqTBnKCG9lHDwPwd8d/rJGBkH/uhfdTQPmoYGNTR+zXU97ba++HqALFixQo5ffq0tGjRIsvjo0ePljVr1siCBQtyvG2nV/zQHcPpNngdNbSPGgYGNbSH/dA+amgfNQwM6hgaNXR1gJg8ebJcunQpy2OtW7eWF198UR577DHH2gUAAACEKlcHiBIlSlz38SJFitzwOQAAAAC3j/uneQMAAABwDVf3QFzPnj17nG4CAAAAELLogQAAAABgGQECAAAAgGUECAAAAACWESAAAAAAWEaAAAAAAGAZAQIAAACAZQQIAAAAAJYRIAAAAABYRoAAAAAAYBkBAgAAAIBlBAgAAAAAlhEgAAAAAFhGgAAAAABgGQECAAAAgGUECAAAAACWRVp/KYBgsWXncVm5MUEuJCU73RTPOnv+stNNAADAEQQIIASt2HBAjp6+6HQzgkJ0VITTTQAAIFcRIIAQdOlKqrkPCxMpFJvX6eZ4Vky+PNKuaQWnmwEAQK4iQAAhTMPDlH6NnW6GJ0VGhkt8fIwkJl6QlJQ0p5sDAECuYRI1AAAAAMsIEAAAAACCK0CcPn1aXnnlFWnYsKHUrVtXevbsKQcOHHC6WQAAAEDI8USA6Nevnxw+fFjmz58vy5cvl+joaHn66aclKSnJ6aYBAAAAIcX1AeLcuXNSpkwZefXVV6V27dpSqVIl6du3r5w4cUL27dvndPMAAACAkOL6VZgKFiwoU6ZMyfj+zJkzsnDhQilZsqRUrlzZ0bYBAAAAocb1ASKzkSNHynvvvSdRUVEyZ84cyZ8/v9NNAgAAAEKKpwJEt27dpGPHjrJ48WIzL2LJkiVSo0aNHK/h7oSIiPAs98g+ahhYTv1b8Dr2Q/uooX3U0D5qGBjUMbRqGJaenp4uHpOWliZt2rSROnXqyMSJE7P98/qRw/QSvECIenrsWjl97pIUKRgtC0c95HRzAACAh7i+B0LnPHz77bfy0EMPSWTk/zY3PDzczH/QidQ5kZaWLj7fRXGCpsq4uHzi8yVJaipXr82JrbtPyAdfHZQLSclON8Wzzp6/nPFvQa+kjOzj37J91NA+amgfNQwM6uj9Gup7W+39cH2AOHXqlAwYMEAWLFggTZs2NY8lJyfLzp07pVWrVjnebkqKszu37hhOt8Gr3l+/X46ediYABpvoqAj2Q5v4t2wfNbSPGtpHDQODOoZGDV0fIKpUqSLNmjUzy7jqTVdlmjdvnvh8PnMtCISeS1dSzb2OQisUm9fp5nhWTL480q5pBaebAQAAPMb1AUJNnTrVLOX68ssvy2+//Sb169c3E6lLly7tdNPgIA0PU/o1droZnp04HR8fY4Yvuf0sBwAAcBdPBIgCBQrImDFjzA0AAACAc9y/ThQAAAAA1yBAAAAAALCMAAEAAADAMgIEAAAAAMsIEAAAAAAsI0AAAAAAsIwAAQAAAMAyAgQAAAAAywgQAAAAACwjQAAAAACwjAABAAAAwDICBAAAAADLCBAAAAAALCNAAAAAALCMAAEAAADAMgIEAAAAAMsIEAAAAAAsI0AAAAAAsIwAAQAAAMAyAgQAAAAAywgQAAAAACwjQAAAAAAIrgBx9uxZGTVqlDRr1kzq1asnnTp1kq1btzrdLAAAACDkeCJADBgwQLZt2yZTp06VFStWSLVq1aR79+5y8OBBp5sGAAAAhBTXB4jDhw/Lpk2bZMyYMVK/fn2pUKGCjBw5UooXLy6rVq1yunkAAABASHF9gIiPj5f58+dLrVq1Mh4LCwszN5/P52jbAAAAgFDj+gARFxcnzZs3l6ioqIzH1q5da3ommjZt6mjbAAAAgFATKR7zww8/yLBhw6R169bSokWLHG8nMtKZ7BQREZ7lHvY49Xv0OvZD+6ihfdTQPmpoHzUMDOoYWjX0VIBYt26dDBo0yKzENHny5BxvJzw8TOLjY8RJcXH5HH1/L9Pfn1t+j17HfmgfNbSPGtpHDe2jhoFBHUOjhp4JEIsWLZLx48fLww8/LH/961+zDGnKrrS0dPH5LooTNFXqjuHzJUlqapojbfA6/f357xMTLzjdHE9iP7SPGtpHDe2jhvZRw8Cgjt6vob631d4PTwSIJUuWyLhx46RLly4yfPhwM4HarpQUZ3du3TGcbkMwoIb2sB/aRw3to4b2UUP7qGFgUMfQqKHrA0RCQoJMmDBBHnzwQenVq5ecOnUq47no6GgpUKCAeMmWncdl5cYEuZCU7HRTPOvs+ctONwEAACBkuT5A6IpLycnJ8vnnn5tbZu3bt5dJkyaJl6z57rAcOXHe6WYEheioCKebAAAAEHJcHyB69+5tbsHikUblZOXX9EDYFZMvj7RrWsHpZgAAAIQc1weIYHNvtRLy0P0VzeRft49vc/PSrbr6EjUEAADIfe5faBYAAACAaxAgAAAAAFhGgAAAAABgGQECAAAAgGUECAAAAACWESAAAAAAWEaAAAAAAGAZAQIAAACAZQQIAAAAAJaFpaenp0uI0Y+clubcx46ICJfUVK6gbAc1tI8a2kcN7aOG9lFD+6hhYFBHb9cwPDxMwsLCLL02JAMEAAAAgJxhCBMAAAAAywgQAAAAACwjQAAAAACwjAABAAAAwDICBAAAAADLCBAAAAAALCNAAAAAALCMAAEAAADAMgIEAAAAAMsIEAAAAAAsI0AAAAAAsIwAAQAAAMAyAkQuSktLkxkzZkjTpk3l7rvvlueee05+/vlnp5vlWfPmzZMuXbo43QzPOXv2rIwaNUqaNWsm9erVk06dOsnWrVudbpannD59Wl555RVp2LCh1K1bV3r27CkHDhxwulmelJCQYGr4wQcfON0Uzzl+/Ljcdddd19yoZfasXLlSHnnkEalVq5Y8+uij8sknnzjdJM/YvHnzdfdBvT3wwANON88zUlJSZPr06dKyZUvz97Bz586yfft2cTMCRC568803ZcmSJTJu3DhZunSpCRQ9evSQK1euON00z1m8eLFMmzbN6WZ40oABA2Tbtm0ydepUWbFihVSrVk26d+8uBw8edLppntGvXz85fPiwzJ8/X5YvXy7R0dHy9NNPS1JSktNN85Tk5GQZNGiQXLx40emmeNLu3bslb9688vXXX8vGjRszbnowDGs+/PBDGT58uDlgW716tbRp0ybjbyRuTQ92M+97eps1a5aEhYVJ3759nW6eZ8yZM0fef/99c3yogbZChQrm+PDEiRPiVgSIXKIh4e2335YXX3xRWrRoIVWrVpU33nhDjh07Jp999pnTzfPUGbfevXvL5MmTpXz58k43x3P0oHfTpk0yZswYqV+/vvkjNXLkSClevLisWrXK6eZ5wrlz56RMmTLy6quvSu3ataVSpUrmP0r9Q79v3z6nm+cpM2fOlNjYWKeb4Vl79+41fwf132+xYsUybhpocWvp6enmrG/Xrl1NgChbtqz06dNH7r//ftmyZYvTzfOEqKioLPteTEyMTJw4Udq3by9PPPGE083zjHXr1pnw2qRJEylXrpwMHTpUfvvtN1f3QhAgcvFM0YULF6RRo0YZj8XFxUn16tXl+++/d7RtXrJjxw7JkyePfPTRR1KnTh2nm+M58fHx5qy5dtX76Zkivfl8Pkfb5hUFCxaUKVOmSJUqVcz3Z86ckYULF0rJkiWlcuXKTjfPM/Tv3rJly2TSpElON8Wz9uzZYwIscj587pdffpG2bdtmefytt96SXr16OdYuL5s7d67piR0yZIjTTfGUIkWKyPr16+XIkSOSmppq/jZqONOTzW4V6XQDQoX2NKhSpUpleVzPHPmfw621atXK3JAzGlqbN2+e5bG1a9eanok///nPjrXLq7T35r333jN/6LULOn/+/E43yRM0rA4ePFhGjBhxzd9EZK8HQk8K6NlzPRjWM5d6Bl3nN+HWtGZKh9DpMM6dO3fKHXfcYWrI/zPZ5z+ZMnDgQClUqJDTzfGU4cOHS//+/c28kYiICAkPDzc9tNor5lb0QOQS/9hoPdDITMevXr582aFWIdT98MMPMmzYMGndurUZWofs6datm5lHol3POi9Ce8hwazqETsdOX33mF9bppEudt6RD6l544QXTs6iLc+iE/m+//dbp5nnC+fPnzb2eLdd/wzrMuHHjxmZIIjXMPp3jWaBAAenYsaPTTfGc/fv3m9rNnj3b9D506NDBzA/btWuXuBU9ELnEPyZV50JkHp+q4SFfvnwOtgyhPOZS/0DpSkw6pwTZ5x+yNH78ePnxxx9l0aJFZvwvbkwnCOqqX8y5sScyMtKsgKNnK/3/p9SsWdPMw9EhOJmHy+L6dDis0t4HHbOvdFEJ7Yl45513qGEO/m23a9eOOTjZdPToUdNro703OjdR6TBjDRXaC6EL8LgRPRC5xN9Nf/WMev2+RIkSDrUKoUoPdPWspS4Zp2NWtScM1rvpdbUWPQPsp93NGibcvGKGW2iPjS6Dqz1e2guhNzV69Giz6gis0wmrVx+s3XnnnWaxCdya//9e/3wmP/23rGPRkb15nrosPb2K2acnn3RFusxzE5XO89ThxW5FgMglOhFGVxvRM0aZxwHrmY4GDRo42jaEFv9SwjpuWpdyvXpYHW7u1KlTZpnHzEMc9I+//ltmQuutaW/XmjVrzNlK/03pCnXakwNrtKdBew8z/5+ifvrpJybzW1SjRg0TwvQA7uq5JW4ee+5G2quoE4HdPOnXrUqWLJmxKML1VllzK4Yw5RI9SHvqqafMf56FCxc2y0C+/vrrZsfR8edAbk0anDBhgjz44INmlRE9GPbTM5k6BhM3p2crdZKqLuOqN12VSS9qqCcE9FoQuLkb9bjqwQe9sdZpWK1YsaKMHTtW/vKXv5jJ1DqhX5d91F4e3Jr+zdNeLx13rvueLsusvYu61LUOJ4F1egJFLx6H7NP97p577jFzcbQnVo8L9cSKnqR69913xa0IELlIz7DpsAddeeTSpUum50HHqvrHYQK3m664pGfLP//8c3PLTMcAs6SmNdpzo0u5vvzyy2atbh23qhc3LF26tNNNQ4jQYXM6/FD3w5deeskEWF0WXMfuXz0kBzemE6Z1HqJel0mHfmkw03Hn9913n9NN85STJ0+y8pKNf8u6ip9eHFcXNdGFEfTfsIZYNy9XH5auV1IBAAAAAAuYAwEAAADAMgIEAAAAAMsIEAAAAAAsI0AAAAAAsIwAAQAAAMAyAgQAAAAAywgQAAAAACwjQAAAcg2XHgIA7yNAAECQGTp0qNx11103vDVu3NiRdn3xxRcyZMiQm75m8+bNpo16b9cHH3xgtnXkyBHb2wIA/H+Rmb4GAASJYsWKyaxZs677XJ48ecQJCxcudOR9AQCBRYAAgCAUFRUld999t9PNAAAEIYYwAUCImjt3rtSsWVPOnTt3TU9BjRo15PTp0+b7X3/9VQYMGCD33nuv1KlTR7p16yY7d+7MeL0OEdKhQp988om8+OKLUrduXfPaESNGyMWLF81runTpIlu2bDG37AxRsrJtlZaWJm+++aa0aNHCtLFv377XfC61d+9e6dWrl9SrV8/c+vXrJz///HPG888//7zUqlVLDh48mPHYzJkzpVq1aqbtAAACBAAErZSUlOve/BOZ27Zta77/7LPPsvzc6tWrpUmTJlKkSBE5c+aM/OlPf5IdO3bIyJEjZcqUKeZgvXPnznLgwIEsPzd69GgpU6aMOZDv3r27LF++XObMmZPxXPXq1c1t2bJlJqBkx822rV5//XWZPXu2PPnkk2boVqFChUxbM0tISDCfRYPRX//6Vxk/frwJD506dcoIS2PGjJH8+fOb91M//fSTCVrPPvusCS4AAIYwAUBQ+uWXX254kD548GBzEK4H5A0aNJCPP/5Y/vjHP5rn/vWvf8k///lPeeONN8z3f//73+Xs2bPy7rvvmterZs2aySOPPCLTp0+XGTNmZGy3efPmGZOkGzVqJJs2bZIvv/xSBg4cKJUrV5bY2FjzXE6GVt1s2z6fT/7jP/5DnnnmGdODoJo2bSonTpyQr7/+OmMbGizy5ctnelj8bdFt/f73v5cFCxaY7RctWtSEh5dfflnef/998/mrVKki/fv3z3abASBYESAAIEgnUWc+Q59ZqVKlMr5+7LHHzAHzyZMnzc9o74MeXLdq1co8/+2335rhOyVKlDC9FSo8PNyEiI8++ijLdq8OBiVLljRBJhButu3t27dLcnKytGzZMstr/vCHP2QJEN99953pRYiOjs74LPpZ69evL998803G6zQcffrppzJq1Cgzl0RXc9J7AMD/IkAAQBDSA14dy38rDz/8sIwbN87MMejatasJEA899JA5yFba+3D48OEb9mYkJSVlfK1n9zPToBGo6z7cbNv+uQ7x8fFZXqOBKDP9LGvWrDG3qxUuXDjL9+3bt5e1a9dK+fLlpUKFCgH5DAAQLAgQABDCChQoYHobNEA0bNhQ9u3bZ+Y6ZH5ez9rrsKfrccOZeX9w0HkMFStWzBIYMtPPcv/995uhTleLjIzMEoomTpxohi7ppOu3335bevTocVs/AwB4CZOoASDEPf7442YYkM5zKF26dJbJwvq1Tj7Ws/Dao+G/ffjhh2Yic0REhOX30V6D20FXZtIeEx12lNn69euzfK+fZf/+/WZIlv9z6CpUOifi888/z3idTr4+duyYWX3pqaeeMvM8rp4wDgChjB4IAAhCV65cMaHgRnRpVP+wIJ1wrKsW6epIeqY9LCws43VPP/20CQt6rysR6dl+HQL03nvvybBhw7LVpri4ONm2bZuZV6GrMRUsWFACISYmxizbOm3aNPOZtCdlw4YN1wQIfY2uwqTLuOrKS3nz5jWfed26dRmTwXWp1kWLFplJ1Dp86aWXXjLhQq/uvXTp0mwFJgAIVvRAAEAQ0knRHTt2vOHt0KFDWYbvPProo5KammomVWemk6f1wFlXYNIlTnv37m1WadIlUDVUZIcu/apXwX7uuefkq6++kkDSUPDnP//Z9EL06dNH9uzZk7Fqk1/VqlVl8eLFJiDpkCy9roTWSZd/bd26tbmuhIYiHbqkq1T5w4lOptbPrCs1AQBEwtIDNcMNAAAAQNCjBwIAAACAZQQIAAAAAJYRIAAAAABYRoAAAAAAYBkBAgAAAIBlBAgAAAAAlhEgAAAAAFhGgAAAAABgGQECAAAAgGUECAAAAACWESAAAAAAWEaAAAAAACBW/T/O+WmG6PIs5QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = len(path)\n",
    "U = rng.random(n)\n",
    "U = np.sort(U) * T\n",
    "fig, ax = plt.subplots(figsize=(8, 4), layout='tight')\n",
    "ax.step(range(len(U)), U, where='post', lw=2)\n",
    "ax.set_title(\"Poisson Process Path\")\n",
    "ax.set_xlabel(\"Event Index\")\n",
    "ax.set_ylabel(\"Time\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
