{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 大数定律的模拟\n", "根据不同的样本量,模拟样本均值的收敛性。" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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974oV7fOfmhoE9Yk2/8z7W71q9vOYCS/r1ibP7m/v6ehke/yhw+01Vk20XpHV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\nAKAT/z+MvTQkl7Ol0gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from numpy import random as nprd\n", "\n", "True_P=0.5\n", "\n", "def sampling(N):\n", " ## 产生Bernouli样本\n", " x=nprd.rand(N)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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PvPZ+Nm1sPCutWNm06k2o2wYadY39tdMr+jMEv5gGJw7G/voqZfV+4GU4sI0/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from numpy import random as nprd\n", "\n", "def sampling(N):\n", " ## 产生一组样本,以0.5的概率为z+3,0.5的概率为z-3,其中z~N(0,1)\n", " d=nprd.rand(N)<0.5\n", " z=nprd.randn(N)\n", " x=np.array([z[i]+3 if d[i] else z[i]-3 for i in range(N)])\n", " return x\n", "\n", "N=[2,3,4,10,100,1000] # sample size\n", "M=2000\n", "MEANS=[]\n", "for n in N:\n", " mean_x=np.zeros(M)\n", " for i in range(M):\n", " x=sampling(n)\n", " mean_x[i]=np.mean(x)/np.sqrt(10/n) ## 标准化,因为var(x)=10\n", " MEANS.append(mean_x)\n", "\n", "## 导入matplotlib\n", "import matplotlib.pyplot as plt\n", "import matplotlib.mlab as mlab\n", "## 使图形直接插入到jupyter中\n", "%matplotlib inline\n", "# 设定图像大小\n", "plt.rcParams['figure.figsize'] = (10.0, 8.0)\n", "\n", "x=sampling(1000)\n", "plt.xlabel('x')\n", "plt.ylabel('Density')\n", "plt.title('Histogram of Mixed Normal')\n", "plt.hist(x,bins=30,normed=1) ## histgram\n", "plt.show() ## 画图\n", "\n", "## 均值\n", "ax1 = plt.subplot(2,3,1)\n", "ax2 = plt.subplot(2,3,2)\n", "ax3 = plt.subplot(2,3,3)\n", "ax4 = plt.subplot(2,3,4)\n", "ax5 = plt.subplot(2,3,5)\n", "ax6 = plt.subplot(2,3,6)\n", "\n", "## normal density\n", "x=np.linspace(-3,3,100)\n", "d=[1.0/np.sqrt(2*np.pi)*np.exp(-i**2/2) for i in x]\n", "\n", "def plot_density(ax,data,N):\n", " ax.hist(data,bins=30,normed=1) ## histgram\n", " ax.plot(x,d)\n", " ax.set_title(r'Histogram of $\\bar{x}$:N=%d' % N)\n", "\n", "plot_density(ax1,MEANS[0],N[0])\n", "plot_density(ax2,MEANS[1],N[1])\n", "plot_density(ax3,MEANS[2],N[2])\n", "plot_density(ax4,MEANS[3],N[3])\n", "plot_density(ax5,MEANS[4],N[4])\n", "plot_density(ax6,MEANS[5],N[5])\n", "\n", "\n", "plt.show() ## 画图" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 重对数率\n", "\n", "重对数率(law of iterated logarithm)即,对于独立同分布的$Y_1, ... , Y_n$,其中$E\\left(Y_i\\right)=0, V\\left(Y_i\\right)=1$,有:$$\\limsup_{n\\rightarrow \\infty} \\frac{Y_1+...+Y_n}{\\sqrt{n\\ln\\ln n}}=\\sqrt{2}$$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/lib/python3/dist-packages/ipykernel_launcher.py:25: RuntimeWarning: divide by zero encountered in log\n", "/usr/lib/python3/dist-packages/ipykernel_launcher.py:25: RuntimeWarning: invalid value encountered in sqrt\n", "/usr/lib/python3/dist-packages/ipykernel_launcher.py:26: RuntimeWarning: divide by zero encountered in log\n", "/usr/lib/python3/dist-packages/ipykernel_launcher.py:26: RuntimeWarning: invalid value encountered in sqrt\n" ] }, { "data": { "image/png": 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7Ew4GDgCoqmpXFKUeSAOq27R5I3AjQE6OfDsFoa9z8F6o+rsmSi3r/M9X/hkG/qJzbZferIl4WxxHwZTeuTa7ysF74Mhftf2ILEhdqK3fW0u1Prl9uXdOg7r3/K83ZYC9Stv3fRmJnQEta8PrQ9EC/bFkNgsf1abitDgxxuunMMxmM5s2bfII9po1aygpKQHAYDAwduxYLr30UmbMmMHMmTMZM2YMJlPv2o13y91VVXUAkxRFSQY+AALl33GPuAN91fxG46qqPg88DzBt2jQZrQtCH8VeB4U+cbz3nBG43tF/d07Iq15of325/jNIu6rjbYaLqqpUvVZDa4mVIXdnYozzPvTdIg6w7wpIuVzbj5utb6Nlg3ffmAYTDsHh38PAX8K+qyHhVH39oa/B9nxtv+ErSDxdf75pFdS9Dxm3dvHDneDs/dkBapc2kPC+STfaLiwsxG7XxqBDhgxh5syZ3HTTTcycOZOpU6cSHx8fouVjT7e+RqiqWqcoyjJgFpCsKIrJNSofArgjAR8EsoGDiqKYgCSgpjv7IQjCsWFDB0aAAzsa5MQMzmYoCxJmtGFxzwp51Ws1HPi95vQdNzaa9EvbzzzitjSPCDK7WrASDFEw6BHtePi7/nWiR0B0gZaSdM8Z/lHadrtis1f+OcwPIXg4cuSIR7C/+vfXbG/dStNozQk/Pj6e6dOnc8899zBz5kxmzJjBoEG9ZFHZQbos5IqiZAA2l4jHAKejGbB9DXwfeBP4MfCR65KPXcerXOeXyvq4IPQ/Ovpf62wJv279Z1B8buh6Na9rI9ieonlLq2e/9KEK0i5pX8irntW2wRKUhJtGNHa6JuSgWaWHY8A2bn94bZ8otLS0sHHjRt1ou7S0FACj0cjwiHzOTDqHkxfO5fRbF1BQUIDR2D8tBbtjRJ4FvOJaJzcAb6uq+omiKDuANxVF+S2wCXjJVf8l4FVFUYrRRuKXd0MfBEE4xtS+3bH6zqbQddz4+kUfC0p/U4FqdpL3mH447bTq31aCGayV/5+2DeaCFu56fs4/oOZVV7sPweDfBa+fcQtE5YbX9vGI0+lk9+7drF692rO2vWXLFhwOBwC5ubnMnDmTn/70p8ycOZOJ+RMpWnBAu3gZjP3nmN7rfDfQHVbrWwC/OESqqpYAMwKUm4HLunpfQRB6l+oXwquXfKlm7HXw5zDgZ2E23o5jbNxszbUtegyYd4BpQJjthaD6LW1evH5FMxOXj/SU133ZqK/o1B9GjwPzNn1Z0vn644J1sGs6jN0Vfn+Mid79w49B6o+g+BzI/Zd/3RMxQUp9fT1r1qxh1apVrF69mtWrV1NXVwdAUlISM2bM4L777mNU02gmD53CuDv1ZlvV7+oj7jgtTgxR/Tc+moRoFQShUzQu8S8b+H/a9HH8HG1kuvdizSjLbbW9dRiM2625aQWj5r+By7Me1KbcRy7VgqCY93TtMwC0Fps9+/Zqe5CasPPi/UAemT/Tcn1H5cKOydC62VsnsY2xX9y0zontyGVQNF/b3zFW2xafo69jiOt4u/0Np9PJzp07Wb16NatWrWLVqlXs3LkTVVVRFIVx48Zx2WWXMXv2bGbNmkWOkkvsyBgUg8KGsTuwoMKd3vZadpopfVg/bWI7aidqUCQANZ/Us+/eQ0wpHI1i6h9uACLkgiB0ioghYDuoLxv0qN4FamItmHxChlr3wcZIvbBZy2BrLowuhFhX4BQlOvA9k87xXtuyWWuvq+y4qMSv7NDfjnD4Oa9HrDHRgKPBCdXa3PiR9/cz5I+5gELBatjUTn+7QsIp/mVqm8BhBau6/769TW1trW60vWbNGurr6wFITU1l1qxZXH755cyePZsZM2aQmKhNX5hLLGy/YC+72E/qBUkM/YN3mcRWZUOJMGCIUij5+UG/ezZ820TGDzUDhn33HgKgZlE9aRf1j3i3IuSCIHSKtiIeaNRpCuM5uGOiti06GSZps6MknglHX9LX883XDV4Rb1wGCfND3ycQNYvqA5b7ijiAY2seNPuotapw+N9HybohHUMUTKiEuo8g/ZrO9aOztP2d9DccDgc7duzQjbZ37dLWIAwGA+PGjfOI9qxZsxg5ciRKO87y2y/Y69mv+aSe3IezPMe7Fu7HWmEjelgkljJvzteEk+JoXNlM2W8Ok7wggcpXvA5U1sO9E261M4iQC4IQEtthOHi3NgpPOg/i53bs+qFvwr42Zq32WjCleKfZHS5NrfvYK+JTVWjdCTvGwMA28cdjJkPrJig6tfPrxPt+ecizb4hRcLaqtHWiiZsUQ/OONkPuuGYsB7zrAxGZkHFD5/rQFQyJoev0JWpqajyi7R5tNzZqdghpaWnMnj2bK6+8ktmzZzN9+nQSEhI6dZ+sW9LZsqDIc2yt0ETZXKJP3B47OprGlc0AbJmvX6eJGhzZqXv3BiLkgtBHaS02gwox+T0wb9tB9l3pXROvfBwm+7iSpSzUUnQGI/WHeiEvWQi1b2qGYe7oZgCOZth7kf7amNEwvhQisvXlFu9zultCtQ68IZ3yv1Wh2lSwmWDPSMgpxaAEeKArete0nib5Ei0ITFuMndO5Y4LD4WD79u2ekfaqVasoKtL+aAaDgQkTJnhEe9asWYwYMaLd0XYoaj7Vz6xUPB1ecP9Bt2ZQ+dLRgOf23XuI1PP7x5SHCLkg9DEcLU42T9ebOGf8KJXs+wd0+kHXVdoatjkt3v1hr4fXxlTVG0Cm9k1t2zbt5+Z2gmYFiiGuRAPaYIqNho6PytuOvJVIrXOteyxQlaEVluXS2I6funmPJfCJbiTjVi3T27B3tc/Ylr6UIKWpqYm1a9eyYsUKVqxYwapVq2ho0BKlZ2RkMHv2bK655hpmz57NtGnTui1CmmpX2feLQ6ErtmHq9uAuZ8bkPvTLDYEIuSD0MSyl/gJR9VoNibPjSD41/CGYvd7Bjov3MvzJIcRNiO3OLnLY5dc8KIR/c1doOwJvS8EK2F7Q+fZVi1fIC94YStXbmkvSrpNboC6t/QtNx27tNPvvMOQJ/9mGMVu0cK+9ycGDBz2ivWLFCgoLC3E4HCiKwtixY1m4cCEnnXQSc+bMYdiwYT32Elpyt7/xWnfgqHP0SLs9gQi5IPQ5Aj/wLKXWgOXt0bS+GVulnV0L94ccfQTDGeC27vCgER304856GCp+HV7dCWXBz0ePgvzPYc9ZHeuDG0eT5hSe/cBA4ibEsGuhy3quJrBCRuXD2N0qG8d1g89bmCgGCDSzHz3u2CZIsdvtbN261SPaK1eupKxM+wPFxsYyc+ZM7rvvPubMmcPs2bNJTtZbObbsNHPktRpyH83qdkGPGuK1VRh4YzqHn/dOq8eOiyY6N5KaRQ26awwx3j5M3lDApqmBnfw3z95F3KRY8p/p24m7RMgFoY+x8/v+7lAAB/9UyYBrwh+GOVu7J1LIpqj2z3U0z/iAnwUW8vQbofp573Go/N1uEs8M/971yxupWVTP0MeHUPVOLdG5mkKW35VM7XMw7rMRbDunuN3rM++g15Y22tLT3WhoaGD16tUe4V6zZg1NTVpovkGDBjFnzhx+/vOfM2fOHCZOnEhERODAAM1bWjHEKp7v9NEP6sh5JIuMy9oPddtRovK8X9DBd2ZiSjJy8E9afPyWbWZGvZpH+g9T2PeLQ9gqtTgBKed6174N0Qambh/DhrE7PGWxY6Jp2WHG0eCk4ZsOhCTsJUTIBaEPYTsaPCBJR2gt8U7RH/xzJZUvH2XidyMxpYT/b28NMWt56D4YeG/wOr4YkyD3JSi9vk3Zc5ByqXd0Peyt8NtUIkFtZ7LCekBLF2qIhuJbtZCcNYu8D2xUcBwx0HQEonKCWCkbtehqAKP+m8fuK/eH38FuYviHUPIDyH6qe9tVVZXS0lLPSHvFihVs3boVp9OJwWBg/PjxXH311cyZM4c5c+aQk5MT1guN6lS9sxw+lD1S0a1C7mzWZlbGfjocgAHXpFH+zyqcLU6iR0RhiDSQMDWOkS/nsuvyfcSMiNK5prnJ+90gDLEGkubFs+fmENNBfQwRckHoQ9QHefuPHBQiHFobfH2hK1/WLHMP/LFSFygjFNtGBD8/clmHugRA+nV6IR/ypLb1HV1H5YffXtqPA4eLVZ2wNQeSL4bhASy+Aaj3jszaxkhPv1lLypJ+HWQ/4S2PnxxLylmJtO4xcyxJvgimdIN9nd1up7CwkO+++84z4i4v15JTxsfHM2vWLB588EHmzJnDzJkzPQFXOsKW04qwHe6+l9JgOBodoEBUtvdFbNLaUVT++yjpF3tfGKJzo5i0qn2jirTveZcDmtZ3IMNPH0CEXBD6EFWvewNS+K5rbxi7A2t5142smjZ07AGluoQjYhDYyvXnEs8KHH0sHHwt2K2l3vKEU6F1a8essd0i3rRCCw0L0LwWIl3GcnUfBLm43PtSs2UQkK89EmPnN5L7TAK5zwS+zBCj4GhxBj7Zx2htbWXt2rV8++23fPvtt6xcudIzTZ6Tk8Mpp5zCnDlzOOmkkxg/fjwmU9dlIZSIN6xuJnFW5+PLqk4VHKBEKNhrHRhiDSgG7yyBoigMvDbMDDUhUKL7xnJKMETIBaEP0bIj8CgvIsOkPbzCxB0Aw6+8ky8DtsMwxQZFp0HTN1pZ8iWdasqPFJ92Ri7tfDu75+pfEHxR7WH+7vZoCVOcVcFdoxpWNGOrsmOtsBGZ1bGZkp6mrq6OlStX8s033/Dtt9+yfv16rFZt7WHcuHFcddVVzJs3j7lz55KdHcI1oIdoLmzpkpBvHL+zG3vjz9A/DvaEalXNKq3FFmJGBDEW6WVEyAWhl1FVlbJHKhh0e4anLPVCfSCKuIkxmEuCz6u2FpvZcVEJeX8c7DH2ybotg4p/VunqNaxsIvEkvVC17DZjiFKIdhkO1bwJhx/3qeAExaRNM7uFPOHUjnxKfybWQMtGiBnftXZ8qWkntarv6DlioInIrAiaN7Uf0MW8PfgozFaljTgb1zTrpmR7g4qKCs9o+9tvv2XLli2oqorJZGLatGnceeedzJs3jzlz5pCaGmZC9B6m4vlqsm7KCF2xl0g9PwljgoGy3x7GWm5jx0V7MaUZmfjNqN7uWkBEyAWhl9k4ThtdVL9b5ynLeVBvjFP3lRbGUrWruoxMljIrkdkRKIriuX7/vd7gGI4GB5PWjKL4tgOedb8jr9X4CfnOSzSrYvd0/r6FgftqcLmxx82E6A6sYwfClAKJp3WtDYCxRbDdlXl03w8D17FXu1zN7h9A5pWa5b+tSmVLZuD6mXcGLm+L5WDHXAK7iqqqFBcX64R7714txnhsbCwnnXQSjzzyCPPmzWPmzJnExnZv/IDO4P5OOS1OWrab2X3VflRz4BkSp9lJ06YWYkZEEZHRuzMdSackYHUZSALYjzpwNDswxvW9QDEi5ILQBzHGBs6N3Li2mcST4nG2Omna2MKeGzXr2gnLRnLk1Rq/+mkXJWGMNzLqlTyq362l9OEKkhcEDyqjBpmFdocEVY+NHVNYhPNCsf3sUogA1QHWcs1S3lbufSHKvAuOPOmtH8oSf+ifB7PvnkNUPFPNoNvbeRvoBhwOB1u3btUJ9+HDhwEtNvncuXO55ZZbmDdvHpMnT27XDawvYIgyYGjne+3G7c9tSjfp8sKHYuKK8Ot2hCmbR7Nxkncaf/OM3Yz9dDjRuX1rml2EXBB6GSVSQbUGX8M1pRmxH3Ww54YypmwbTdH1pTQXeqeGt8wvCnidMcE7ekianwBU4Axyr7qvGzGa2hd6t2Fay4ag3e0xdl2xj4TpsQz+WfBINBFZgAFs7skJ19uJs8XJtjzNKt7s44WW/YRXyI1JruuDkHRy94QXbYvNZmP9+vUsX76cb775hhUrVnjCnObk5HDaaacxb9485s2bR0FBAQZDcGHsKWo+q8cYayDplBCRBtusUJh8wp5ayq2eHOBtaS8vvKPRgb1BH3Ft+N+GYEruGSlTIvyXWMz7rCLkgiDoaSvi45f6DzFjR0fT8J0WWLx+eZMm4k1xYDdBcuBUnACmVO+/uMFlfesbmhSgZrH3+r23HyCi1j8KXNIF2ra3woI6W500rm+mubCV5sJWBt2RiWJsfx0779+QsECl+t8Oym4wQXF5hoIAAAAgAElEQVQ+jN6BajWi2vQiPvB+/bUT9SYFAfEdWaqq2ulAMVarlXXr1rFs2TKWL1/OihUraGnRlkBGjx7N5Zdfzsknn8y8efPIyek70cX23aO9IQWKGKjavN+vKVtG685FDvTOGBx47DAj/hH6M6mqStUbtaScnciWef4vrIlzeualqj0aVzWTPL9vZasRIReEXsTRpB9dJM6LJ3KA//RozkNZbDtTizrWtM6VKaQsV9sm14PdCEbNn3bq9jFaYBmnforeEKXtH3rqiC5C3L679Qkn2vpTj9nunb52G7hl/rxDH7PLbJqmD6G5795DDPvzkHbrKzFw+IVqyh+1AYO0wuY4Ku7yN/Ya/Ji2nVjtcn0LY3baV7iPvFITdsQ9i8XC2rVrPcK9cuVKWlu1mZXx48dz/fXXc8opp3DyySeTkdE3jcEO/8sbn6CtzQZAoc/skK9LmJvk0xOo+6qR+q+bwnoJat1t4cDvDtPwXeAYC4boYzsrYd7f88lyOooIuSD0IpYDXnewAdemMeSewFPGvuJe+e82a+F2IxSNgtSjxF+gGcVFpPn/a7unCUNN42Oygd17vxifQZcpGSYcAVM7xs9F15eSen4S6Rf3rCV37WcN8Gfv8cRqKPR1G1ZUyv9Rpc/z6X7xaQdTGiTM73hfahbXtyvkZrOZNWvWeIR71apVmM1mFEVhwoQJ3HDDDcyfP5958+aRnt49fs89zaG/HPHs2xscRKTqv2uhko0M+cUAj/Hmgd8e9hh2tude6XR5HNjaTLcPvjuTzCuPvRX+sZ4BCAcRckHoRZxW7SGVdUt6UKMpxaRQ8OZQdl3uCnnp+8wrcrnE1KQx6t/hjQzNpVZPrHEPlkjYOwJiWsAeQe7LYAqgLRFBBoqNq5tpXN3c40LeFlMaDPgFVP5JOy66aj/EAgmNYHCAM7Cl8aDfePdV1YGKBYPSMUvvuAXekWJrayurV69m+fLlLFu2jNWrV2OxWFAUhUmTJnHzzTd7hLuvuIJ1BWerk5bdZo/Xw/gl+aRdmszR9+oY/e6wgNdEZHplp/bLBo+QO9tYsh95rYbMH6XSskObsWjZro+xkH5pCobInh+NT/h2JM5mJ5GDItg4aSf2PpgVTYRcEHoRe632UEg6OfSaW9z4GG2nZCgogUcvpTdD7rOh77v93GImLBvJzst9ErTsdcVjbdWELP2a0O344ht0Zfc1+8l/PoeDj1eSdUtGwBmC7sJ6xIYpwcjgPxo8Qk6Ua/pTAfL2Q8nwgNf6ro/vaf4+jfZlTE2uDXnPI5YX4GdrMP/lFhb9rpBdr7/MmvLVbCrdiNVqxWAwMGn8JG677Tbmz5/P3LlzSUnpvvjivUXTJn1kQGer0yPiAFtP82aGix0dHbANX/H19cF3tomUd+Cxw5iSjBz4faVfG2MXDceUdGzcwCJSTeB65zIlGUXIBUHw0rCyidrFmkWyKaUDDyVzTLunqp/zF/KGL6B1u5Z5zJf2LN07i6PR+4BrWtdC/bImqt6oxdniJO+x8OO7B8KUasSUZiLtoiQO/dk7tavaVLaeqonH+K/zmeI0ceD3lVS95iMKUYHXNPO/0ILcuGm0L9PaVO0oSuBHo9ls5ruVn/LW4rtY942F7btewY4dQ5mBgujR3PT9m5k39WQynx9CvC2BqX/pfPrY3kZVVSr+WUX6ZSmepZ2mjXoh33FR4Ex9oZi4chSFJ+2m5uN6hvxcW06q+cTfaHPfvYf8yjKuSPEELjrWGJONfTJPuQi5IPQSe27wZlgKW8gdwacSY2foj4/8Ew7cru0P+BlMXDWKwtm7/S80dP1RsOU0fZ7u1mJNQNtOmXYUVVWx1zhQIrT42W4hd7Q4KXvEGwB+18J9AWN8K1EKkfkqlj1eo6qpQbrU6thBrEnLo2q321m/fj1Lly5l6dKlrFixArPZjMEABZOMXJF2NVNipzMpdgrxxnjYjPbT92KGdJiGFc1UPFNNxTPVZCxMIfv/Buq8ILqCezRtq7Kz984DxI2P8SQMyrwylSP/9Y+J4CbtgqR2z/U02ojcjqPZiTGud1z/AiFCLghdZMPYHUQMNDFhSfhBKey1esExhPtQ2N1+9iaA+JP0x24Rd2NKDKwwY94bwQ7f6JM5pTiaszv0sGrr1uYODWsp71r0M/eUa9I8vZHR5ul6S/ZAIh43IYaCN4bSvAF2TYPIoTDsnSD3cqp8tGouFeseYenSpXzzzTc0NmqGWSPGGPjhdcOYOLeCKSeZiE9SYM7dQfvevKWFuAnaUkVrkRnzPispZ3U8m1hvUP91o2e/6o1aBlzrtb+IHRvtt2bdWeq+avQYvwEkzIxrV8hzH83y/D57g+bN2nr95hm7yH8ph8RZfcPwTYRcELqBjqZsdLYRvfDyO/uX5X8Be86EpAu1IC2tW2FbAYxepzfYBnA0gLGthpijwOCk4ZM2gh1h4+jHdWQuDG2Q1Vps0RkwtaWra5lF12hRaIJFnGuPpFO0B23sFC0Pespl+t+LqqoUFRXx1ZLP+eCLZtZ/a6e+RgXuJj8/nyuuuIIFCxaQMvkGUjMMQDUQfvS0XQv3M2XraBSDwo6L9WFw+zpVb+ptBZzNTkof0GZAhj+ZzdYz9gS6rMtEZJgY+XIuRdeW6sonbxqNIbLvZCJrXNviEXJHk4PGNc3ETYglIuPYy2rfmRsQhH5O6cPloSu5cJo7ngJTbTMAMqVDwmkw4jMt37btEDQuActuOHi3fxaw0p/4HNhd4loyHIrzOeg7sMwvgigrB357OGSf7A0Odly0l8LZu4kpiCZxXjyD79Fb3zd81+yxzu8ojWuaPRnhbJWaq96IZ8LL2JX/Qg5ZN2sm9oqiJXwxJkBpaSkvv/wyV111FUOGDKGgoIDbb7uTbevszDvLxJ+fP5WysjKKiop49tlnOfnCcpeIB+BP94TsR/nfjoSs0x9wL5UAfkPA9B+kUPDWUEY8qwV4yfvDoJDtZd0c2N0uZlQ08dO9o+7Mq1JJ/0FKnxDxvN97P5f7+wiweeZu9t5xkOat7Sfi6UlkRC4IXcDXUrv63Tpyfx36AQYEtXy17IXmNZB6hbes5i3Yd7n3eOwuLcyoYoCks/3bcOfo9qX2HTj6GsTlZ9L8UToM8jckihoOlgjv7ELNp/Wkntv+mqTvenvrLjNOSySD78rkEHrxcraqGCK1EXD9100knRof1ixE8zbvgzF2jGbkFz8tdPrLSatHecLTVlZWeta4ly5dSkmJNjLOyMhgwYIFLFiwgJknp2MbcB2KohBtaCU70fuycMj8a7/282KfI1IZhHqGk1Dj0vpvmkg52/s73DB2B1O2je50NLjeYt8vvN+XtqPOlNMTiBun/X0mrhilC8XaHgN/kk7Fs9V+5UqEfoZq0E8z+kyiEsXnZcI3/HFvI0IuCF2g+v260JUC4LsG2HbNdJvLCyxloTaSVB16EQeI7mQ2xf1XArhGQuX+luSjN8PRDwd4XH72/eJQUCFvi2WfldgCf7cj1eoEjJT87CB1XzaSND+eEf8MHZ7Td1renebVHWrWTeK8eLJ/OYDtF2hZwOIvi+bLFV/y5Zfaz9atW7V6iYnMnz+fO+64g9NOO42xY8d6BKPetoTiZm3f7NyF2VGEioMYoz7EqJvUiEtRFCNW5yGg/RC5oEUma92tn07ZOG4nYz4cRkx+YBet3iZYPP7YsdEoikL2rwZy4DFt1iZhpvflKhwRBzDEGBj13zx2X7nfUzb879mev0lUXiSW/VYMMX1n4jhQpLrG9c2efcuhY5sNz40IuSB0gSOvtW9dG4w6H0OinAcHBqzjbAFjHNS2ybFtCly9WzDGQ+aVaQF9d31pLTJ71nx9MaUGfoibS6xEZETQtEFzX3JPl4fCHdM8Ki/SE1vd92E6/O/ZxM2OYfO2Tfy76jXWNq9iy2ObsdqsREZGMnfuXB577DFOO+00pkyZgsnk/8izOPZTZXlR67+ShkGJY3vjTABSIi4J2C9FMbrqZ8Bp78GS04N+jv2/8l922fG9kj67Xl77ufflJOvWdCqe9o6c3UZuGQtTiMgwkXx6QkCBC4f4ybFkXp3Kkf9o/0e+mflG/TsPc6ml0233BL4vLLVfNpB930Cdi1w4NiU9Qd951RGEPkrFM1W07AosPObizsVddiddGPmfXEwpmrioKlQ9563jdGm9vU0Sj4LvAreZ/U//ssyfa+FLO0qwNU57rT2giAOMfDlPdxw7ThtxFl2nGS7Za7QlhbQwI785W7W19ZEv6MOrJn8cxbrbvuGGZ65j4JABzJgxg6ernqLBUc9tN9zG4sWLqa2tZcmSJdx///3MmDEjoIgDbGucTL19sXY/1YzV6XULrLW9D0CS6SzGJRT6XWtQIuE3D8PfNfeAgo8GMmltAQVvDyXhRxV+9fsLpQ97+z7otsARBxWDQsqZiV0W2ux7tTfTti6YERkmEsJYRjmWmJKMnpcv22E79jqHx9A1ZlSUX9z5Y4UIuSC0wbzfwoaxO2gtMnPk9RrK/1HFzkvDC3zhGxQFwGlxYq+1U/pIOarDO13pDgQTM0ITuqP/gc3xUHaz99rG5a422+SKiMwLfO/062BAmzza2X/RwpeO3Rn4mvZIuyCZqNxI4ib5B58pnNt+IJmYEVqgjogBmmhm3RQ4nuvh56pxNIcOrOEW8nprHe+99x4333wzw4cPZ8SIEdxy2y2sWrWKCy+8kNdee43PRy7n9eHv89d//pWzzjqL2NiOuymlRn4/YHm9/XMiDEGmQqZsghVz2J0+BmOcgbixMTTe6t9WOEZgfYEBV2sjy4K3hh6T+01cMTJg1r++ju+SSfavenCqLAQytS4Ibdh+nrbW2t6o082GsVouTEOswePr3FTYStJcr2/ppileX+fqd+rI/XUWjeu90bGcFqh5G/b/2L/9fZdD6g9B9RrHknAGKO0sQRqiYcgfoPKP/ueiCyD7b3DgjvY/T8ZP9cemZKPHb7ajTFiq+dSrPj5j9jq9i56lzEbs6MAfxmKxsGrVKv7zszdY07SSXcN34HQ6SUhIYP78+dx1112cccYZjBo1yrOmuuF3OwK2FYwqy790x5GG9jOqGZRIhkT/loSIk9uto6LN0Khq4JeU+Cn6l4tDzx8g5fo6Yo3jA9Z3tDgxxCjH3DDOvaQRk6+9mMVPjfUsi0Tnd39UtZ7KJ97TuGeaAOIn9Z5/e//87QlCL1C/vJGkU7QpcV+B8nVwLr6pLOi6p++UJcDWAcENg8ofgSNPeo9HfhG6n+NKNFez4R/oyzNu9wq5IR4m1QAKlN0Kg//gn9GsuVATcctBK1FD2iRY8SFhZiypFyQH9Bf3FaDCOfqR/M7ve9eIVVVl9+7dfP7553z++ecsX76clpYWjBgZGzOeBx54gDPPPJMZM2YQERHYj3vMB8M6bElc1qoP6NJgWxqwXlqk5kIwIPo2v3PpkT+m2vqK53hDnU9M9eUnwynfABA7Ppqowfrf4+GnGjn8g5MZk7CaGKPegtFWY2fLvCKSz0hg+JPhudx1B06rk/KntPUcd+pb3zgB+c/3nbzovUXqeYnULGrwHCefntBr0+ogQi4IfhjiDDib/f2ei2894BGe6re8wTKcrYEtfB0tnfOd9qXCx/NpzPbwrokaCiOX+JcrCkxxwqF7taxf7rzbuc8Hb89e7yDKZ6Cael4idcuaPL+jxjUtjPxXXrvXm1KNnrVxX5ocTbz76rt8teIrFi9eTGmpNrrJH5bPD6cvZFzJJKbGTifemMDUX4c2CosZ2TUL8PGJWyhq+p5f+diEDUQZ2p9iHhT9gE7IdZgcMOAwVA6k4I2hqKqNsZ/msv1cfbCTHY2zmKhUU3jSbrIfGEjmwlSPUVndl42BWu40tmo75lILCVP9158rXqim/El/v/dBt2ZgKbOS/2Juu9EBTyScNv3/fPZ9vTetDrJGLgh+xI4JLghOs5PD/zrqOU48OZ4pW/3dlIpvKfMr8yX/pcD5sePnB64f0w0GzooCQx7XpuFD4Xb32vWDfZj3eY36nBaVyEHeUXFkdvBIZ6nna+5rTtXJrtYd/KvqeW7c/2NO2z2Hy66+jNdff53Jkyfz7LPPsviUr3kj+kNuq/o5pyQsIL5teLoeIjPqViIN2bqp9WGxrzI5qZJo47CgU9sRhhB5xN+5DJYsQFEUNtZnsj1pCFmPuF5shnqXb8p+q83WuAPx+CYoqVvWfWK+84clFF3tjpan6oL1BBJxgOhhUYx+e5iIuIu6L/R/j8is8KP99QQi5ILQhraj8ZiR2pqgMVH7d9k0dRfWQ96F64ZvmnSWu+6obU3r9Zmi2tKeRe7IL2H0xo73u7tRfPy1t5+/17PvNDsxRClMWjOK5DMSKHi9/dFqVVUV/3n+VR48dB9nF83nyn2X8XTVUzQ7m7k67Vre+OE7HD16lA8++IAbb7yR9Cp/C+nk0zsv5qpqp9b6iX4pJADZMb8DIDfm756ySMMQzSo9DCYk7iLWOCXwSaMTQ3QkTtVrb1Bxumud/ZDXl795i94e4fDzXneDvbcdCOrb3RHcVtbmEgsldx5k0+RdOFudftH3Emb23ppvX2fc5yM8+4PvCmzVfyyRqXXhhMB6xIa5xEJ0blTQt2en1enn4zz6vWHsvLSEyCGRYYUabVzTjO1o8NjrUzaPpuGrwOcUE8RMCnmbHifzR2m6lKGgpQ1t+K6ZiIEmjPFGv7Vbu93O6tWrWbx4MZ9//jkbNmxAVVWSjMnMjpvD7Pi5fP8Pl9D6B+33E2eM8ax5O1vaEaouLD1WWp7mkPlhogzDGZe4Xv9ZVP+/UZTRu/5rUMKfqo8wDKDF4f/2NSLubYqbf4CTRjbV+1isuz+TVXtJjFWm03LQ5ne9L5sm7+yy37nvC407gA5A6x6z31KQbzQ6QU9EpvcZknzasZk1CoYIuXDcs/vq/R6LW4CRL+eSMCPwaPjoR/ooXbHjolEMCq1FFlqLLGyavCvgdb5UvVVL/XKvz9jIV3KJHhZF07oWSn5+EAAlQqH+f95rEs+GhsUQ5UqgpihaStKWtdpx3OxwPmn3YohUiJ8eS9M67++u9kvNwMc3ScyBAwdYvHgxixcvZsmSJdTX12MwGJg9eza/+c1vOOussxg7cBw7z94HQFbmQGI/j2bbWcXEDPdaQDsaAlt6J5/e+WxhTfZVAFicmmi5DdGmJtfiRBsBxxvn6K6JMYyh1bmDLr1BuIg2jAhdyW6kpd4rqsGSbqhOtUt+22qQd4WjbaIUppzZ+wLVV1F8xgJRQ8ObtelJZGpdOO7xFXHAL6uSL2WPeK3KB9+VSf7zgdexfRm3WHtYF7yhTTH7ijhoU+gRqSZix0d72gWoelo7P/BXMOJTGPoGjN3mva5gtXd/0KMhu9EjjHxZ//kVo4JdtbO5ZQP3338/EyZMICcnhxtvvJG1a9dy2WWX8c4771BdXc13333HAw88wPTp04nNjvGslStRiicITvV7XvHYenrgqOWp53VeyBUfX70Drb/y7FudB3Cq2vciNfJi3TX58R+RHfNHog3hp6VtD4Pi74fvYbD2UkdLLDR7XyxtVXashzXFHfRTvR9+6YPlWn72OjsVz1WhOv1nMVqLzVS9U+tXDnD4xcDRgXYt3E/cRG0qfcQz2WQ/MLDfuoQdC3xtJvpCzHz5SwlCAPJfzCFxduhcw75TnaHSF0YNivSJCuUtTzpfG4GntomnrigwZhtU/AYSFoTf9+7E/ZCqs9fx4iMv8b/3PmHZ7qU0OBsw/snI3LlzefzxxznnnHN0scsDkX3fACIHRZA0L94TbtVtNOc75Zs4N46G77T41ZM3dS25SJ1tkWf/iOUZz/7OxjOwq1oY2gb7N2REXe85F2FIJzPqxg7fa1jsq5S0XKUrMyjxJJnOod7+mf8FP34FHvs/Mu33c+TLYt2pradpLzVOq0rBG0PZtVCbzTj6YT1HP/TOGsVPiSVhun52acdFmgFd2kVJGCL1YzVbVftLPu646dEjokg6WUbj/QkRcuGExFZjJyJV//XfPMebySscEU85Vz9SNAaw6B33hX5q1V6tJUHZkuUti53a/j1ixsKwt0J2pdtRVZXCwkIWLVrE2/veZVvrFpy/dpJiTGVewnyu/OdCzj7vbJKTwwu1CmBKMTH4Tr1hkLXcRvOWFow+PujZvxqIIcaAKdnUY6kr3SIO4FSbg9QMn3jTdM9+asRl1No+wqjEkxgxXyfk+XHvEWucRGOGiRIOcuSLQvhX4Eg9h5+rZvAdmRiTjTgCZMxTTAqqqnpednzXueu+avRLeFP9duCRui9txV8IzIhnc4gK4bFxrBAhF457onIisZTpsxIdfqHaE+MZtCnHQA/K9hh0VyYZl6Xoygyx/qLjGwCk5m3Y90P/tgy9v8QGQFNTE0uWLGHRokV8+umnHDqkJYMYHT2W69NvYk7CyYyJHodBMTDliu5Lw7lr4X7dsSnF1C1uTnZn8KxkbrJjHuvyvUAzeMuI/AmpkZcQb5rNUDQH/YzIGzjQ6o2dmxihTa+07nYZEv7dK+Ij3xhM0UJvEo7BP9NefMZ+PJwtJ/uHxnVnDks5J5Fhfx7C5uleG462mesaVje1vZzh/8xm720HdGVts8sJgUmaF/pl/1ghQi4c99jrHZjSjAx9fAh7rtfWx91rkACqQ+XQE4H9Z934pmwEyLrB33e4rbBNWOZdY3VaA4t4b1NcXMyiRYtYtGgRy5cvx2q1kpCQwJlnnsm5557LOeecQ/np/qO47hDx2DHRfh4CQ+4b0G2+yoUNeQAkR1xIne3jdutFG7u+Fu4mJ/ZPfmWKojAxsYTDlicYEvMbb3m0/8i3KGYasRM/o6VQe/EccF0aABFpJgwxSrvBh2o/a0D9U3D3tD3Xe+Ma+C4JTd0+xhNuGMAYL77i/Q2ZQxGOa+z1Dhz1DpJPTSBxVhwJMzSDHl8DuOZtev/djCv0I22AzB+lMur1PACy7x8Q1r1918xrXg1cJ/GcsJrqNhwOBytWrODee++loKCA/Px87rrrLsrKyrj99ttZsmQJ1dXVvPvuu1x33XVkZWUx4tmeCckZKJVpdG7npidU1YHd6U0pa3F4DRojDYMZnfBNp9rtLkyGFJ2IAwz4cYCUl4kNHhEHfcrWYU8ED9PaNgJc4knetfPWouBpY7NuDRHURujTdFnIFUXJVhTla0VRdiqKsl1RlDtd5amKonypKMoe1zbFVa4oivI3RVGKFUXZoihKO1EUBKHrHHxcG0VXv6tZR+f9XgvAYT/qnUZ3G165aS+LUfzEWKZsG03mlWkh7zv6HX2QlNKf+NcZcA8Mfz9kU12mqamJDz74gGuvvZaBAwcyd+5cnnjiCXJycnjqqacoLi5m165d/OUvf2HBggVERurFNHFOz6SSHHijv3i07AwvTzlormQb6lJQVRt7mi+msGE4rY7d1NkWs63R64ivqg5iDP6R9wBGxn/S8Y53EwHXoqOs/mXu+iGmvJ0WvR94w0rv2n/501Vtq+vIujVwljqhf9AdU+t24G5VVTcqipIAbFAU5UvgGmCJqqp/UBTlPuA+4F7gHCDf9TMTeMa1FYRux+KKwOaODuab/MFNW0veYNPGoaaUJ28ajaPRQURa6H+tqPzwQqV2hvLycj755BM++ugjlixZgsViITk5mfPOO48LL7yQs846i6Sk8AJ+KAaFEc9po/Lim8rIfTQrxBVeatdo66/J0wajGPXClTAzThe9DCD9Mv/ZkED4WrlXWV+m0f4toMUs96uLFUUxkRLxPeJNs0mPvAqr8yBW50ESTHP86vcaH13oV6SqDo8LnTuBCegz7rnZf195wGYPPXUkZLx2RVG6HGxG6D26LOSqqlYAFa79RkVRdgKDgYuA+a5qrwDL0IT8IuA/qvafuFpRlGRFUbJc7QhCt2GrsXuCmeQ8pImPYlCImxCjC4e59/YDAa/vCBujtWQlIxYrmNqIuNpeMLjwbetCoqoqW7du5eOPP+bjjz9m3bp1AAwdOpRbbrmFCy+8kLlz57abOSwU7tSsHXnYmw83UvLkCgCishIY99fz9H22+a/ptvUkaI8q6wuefd8pdX8MDIy6C4BhcS97SqON+UQbez//dcHbQ9n1A821jHRX/P6nb4Fbn4HH7qfV8VtiTe4Up97f1+R1BQCUPXaYqtcCf/5oV274ti9LaRdJxLbjjW5dI1cUJQ+YDKwBBrjF2bV1+50MBnyfnAddZW3bulFRlPWKoqyvqgo+LSQIbsp+V0HlK9oDccs8r5WvMdb7VY+f3n4M6aQFof1nK5+EDYrXF9xpBdUC5l2wLQ+KfHy+nVYoucx7PNVHu5pWhrxVUGw2G0uWLOHOO+9k2LBhTJw4kYceegij0chjjz3Gtm3b2Lt3L0888QSnnnpqp0W8s1Qv8UYrs1Q0UrNKn0TGHdUt7w+D6Ci+4VUrLAESsLuYmnyUKGPooD69RdRg7W+S83AWU5JcBpcTt8CKOXDKN+xsOtkz+2BwGccln+H9juYEWAaKHRNN8mkJmIstOiM2gClbRpP3mN/jVujndJvVuqIo8cB7wF2qqjYEmYIMdMLv1VxV1edB89+YNm1a92QLEI57ql7XLKwzr9QbEvkmAGlcpa0dNq5rJn6KV9TTf5BC9v3B0xEefRUO/kzb35IFea9A0gX6Oi3aYJiKx6D8//zbyH0BSm+AzMCuw0Fpampi8eLFvP/++3z66afU19cTExPDGWecwQMPPMB5553HwIG9m1IRQHU6qfxEH852399WYow2kTRZE+7IQRGeEX7KmYkdyud8xBoi92o/wZRs0jLnKdr0dpRhuCecrBurs5QoYx4xI6MZ+XIucZP0L6LGRAOOBu+0z+h3hrF5VuBQwm3tQYTjg24RckVRItBE/DVVVd3mO5XuKXNFUbIAt3/PQcDX/HIIEHhxR+iTNO48QtFvlo7rOs8AACAASURBVAIw9Y3LQ9Q+dthqvKO0jRN26s75vli6raWLrtGHas19OPjar70a9l+tL6t5CyIDGBPXLwos4gDpP9F+wqWmpob//e9/vP/++3zxxReYzWbS09O59NJLueiiizj99NOJje1bmarq1h4MWF78+DcBvzO+67/hYHW2H2a3v+Frmd5WxAG2NU5marL2ghooR0BEuglHg95IztEYOrmPcPzQZSFXtCfkS8BOVVX/6nPqY+DHwB9c2498ym9XFOVNNCO3elkf71+Uvriut7sQEN+pdF/Sv6+PPpZ0SrxfPPRwKAxg2OtsgoO/8C8vPt+/bGLooFoeysvL+fDDD3n//fdZtmwZDoeD7OxsbrrpJi6++GLmzp2L0WjE7CjiQOvVDFf/g0HpG2Jub7BQ8lQX1w06weSkShQicKgNmAwnzjpwTH405hK9kA+4Po3Kl472Uo+EY013jMjnAFcBWxVF2ewq+xWagL+tKMr1QBngXin8FDgXKAZagGu7oQ/CMcRSHtwCtjeoChJ6cvDder/vrFsyOiXkgWjqgHuyMUQgqOLiYj744APef/99Vq/WMqaMGjWKe++9l4svvpipU6f6Wc2Xtd5Lo30ZjfaVJEWc3tHu9wiFN30Q9Ly92YoprvPh7NR2Uni5c4eblP4v4uMSCqm0PEWV9V8kR1wQtO6QXw7AcshKyzav615PhbYV+ibdYbX+He3n+zstQH0VuK2r9xUEN6qqUvbr9id12kYKC5Y4oj1Kb9EfT1U1g7dwmRrAykNVVbZs2eIR761bt2p1p07lt7/9LZdccgmjRwf2f3bjVDXr+2CjcbuzHqMSr8sE5kut9SMcajPpUVeE+Wm6xra7PmHSC5d0+vqDrQ959ofGPs++lhvJivpld3St1xmXsJl6+5dEGXPIjvkzVdZ/0WLfjKo6sNTVsv25vzDyihtJyPHGKYgcGMHot4bRtLmF6KGaAWH6JSkcea1Gt3YuHL9IiFZBh+pUqVlRSupJOX5+v4Fo3HGE+IIM3Tpf0e++JmF0JlmXjO3Jrnqw1+j9uCKzIrBWtJ94OVCM5PFLg7siVT/r3R+9oWP98/UNUVWVDRs28M477/Duu+9SUlKCoijMmzePJ554gosvvpjc3PCtrJsdawCotX5Agukkv/MOtZnChjyiDaMYm7i6zbkmWhyFlLRcA9AjQj7qN6fTvOcoqXNzqfp8DxXvb0cxddFZxjUroRBNauRlpEZeFuKC/kOUMZdMo2ZA4Z59saoH2FQ/hMFFbwNQ9PrzTL3v937XxvsYwUUOimDSqgKOflKPYtKCzyjytPfQWLWDom8eYvLFb2Aw9I3EJ11B/rSCjrp1B9n/9GoslU0M+v64kPWLHl1K+mnDyf2JlvnJcqSJxm2VNG6rPGZCXvaofjSe/1Iu288tbqc2KBH6ofSguzKJHBDeP3PuSxDbTizCgtWaC9r+a/TlWQ+rbNiwkbfffpt33nmHffv2YTKZOP3007nvvvu48MILGTAgvLCvvvgmBamyvhgwzrdD1eqYnbv9zm2uDx7ys7NEpMRgq20ledpg4kakEZ+vRXAbcN4oKt7fzsDzC7rUvjsdaUH84i73tb+gYkb1CUjQWnWYmAzNO0F1Otj4+AMAfgKfdn7/X2boLlTVicPWisEYQdE32qxO+fY3GTL+qhBXhtG204li6L2I5yLkgg7Vrj0salaWBhRy1ek/R1y9ZC9Os52aFXpLYmtNK1tv+4icn0wj47QRftd1FkezAyXC4FkH9I1aNeHbkRh8hDpuUkzANtxuT/Z6B6ak0Eki0m+A6hcgzceiI/FsaPDRkriZ4FqmRUVlFxv5inf45sV32PdwiUe8H3zwQS666CJSUwPE2u4Ae5t/pDvW1o61f2n3aK6oyT9amFa35zw6bbXadP/wu+fpyg3RWt8crR1f2ghElDGvW9rpy6RFLOSo7Q0AnFavQduOl57yiLbD2n5YV8FLxY63qdj1rq7MYfPmXPCNotcRttz2EbaaVia9/H2M0b0jqZI0RdBR/t42AGw1LahOJ7Y6fexryxHNSCwmV28J3lbEAfY/vQqAshfXs+8fq9j18Fc4bQ6qvtxD5ae7cbR07gG0ecZudl7q76Yz+t2hRKSaMMRrX+vMK1MZ9d+8oG2FEnF7DeyYqIk4eGZ1ARjxqb6uqqrssG7kH9zP9xjBVUzjNcNfGDkmn5deeonKyko+++wzrr322i6LOECTY4XuuLj5cjbVZ7GxPtUzemvrzmRzVlFr/RAnLXQnqqpSeMuHVLyvfX8MUf6/V8VgwBBtwtHa/rJHRzB2wKhNdapULytBdfSvNeO8uKcxKkmkRlxGzY7NAeuozm4MEXgc01bEARxW7XlWaXmWjfXpNNpXhp3+1o2tRntx3fXAF13vZCcRIRc8mMsbsFRoo1unxcHORz5lyy0fYj3qTb7Qul+zDh9w7qiQ7TVu96YGrVlRSnNRNZsu/5CyX9Vx8D+bKH2h425sbl9xc4mVxnXNunMx+VrgckVRGPXhAAbemtyldJstW6AwDVq3BD6vKDDkKZVdbOKf/Ir8/Hymz5rKq/yJHPJ54qoXOXzkMIsXL+a6667rFvEOhk2tRsUCwMb6tICj7i0NIylpuRaLw3/pwalaOn1vR7MVe52Z8nc0IY8fnRmwntNs58in/tP8Pc3m696j9Lm1HHy98Jjfu6tEKkOwqdVY6gKHYvV9OTm49NOAdXoTp9oaIoxuz9No+zZgeWtjGbu+vYeDTVrQh6Km8zzpb8PBafXOLpkPNXD4fzuD1O45RMgFD0WPLtUdt+7R3lbLXvJad7n9gxu2HqZTfHwhrJ8Ob11O3caOxwFq9MnoVHRNKTWf+b49e4Vr90NfsuXmDzvXRxc7JwY5t3MnDz74IHP/NpIrmcJ/eJzhw4fz4osv8jmV/J3F3Pmv60lLC50prau4M3i1OvRvHBvr9S8OddZFnn2resivnU31A2myr+lUH2y1+pmbhs19JzSE0+bAadEeuF02tOsFWp3babR/DQb9yHvDH+6ndtdWLHVef/HKtYEFqzfZVD+Iwobh1Fq79v/YWSyO/RTVBfaSMDccovnIfvhWvwykquHNcpS9rLd8re+l733/+1YL/8/eeYdJUWZt/9dxcmQiMwwDw5AzKEZExIBrQDFhWHNY17SuYdVds67r7hoXdRUjBkwooiRFDCCmYYBhhhkGJjBMzrF7OtX3x1PdVdVVPQFB3+99ua+Li+7qp6qra6qe85xz7nOfg4KOHXW6MLofzjolB21LFDnnrMtn7t8XeRRSmdQ7uJCg5JUov1NrgMpvU947qjvEOI/ioXg6B+9leh1uSv/+lW67559f8PjjjzN16lTGjx/Po48+SvaIbB6f/xK7V9Wxdu1arrzySjKOFsb7YLKEfZKSloiyHDagffb0XBx43eJ633BMSdcp+3U+xfd9oXlvjQnbr+P0B6/kX8gNfOrK/73yW62R/58ylCuGg8+Cyaq9qco+fptdb4WWqy199xXqfvhte7H7UdZzuYaw92thR+c0+OY47casoFSgV3tdHd7C/fqu3Dtn79d+vxSHDPkhAFD6yFchP/OH20HJB5kjrGT+fhqxU/SypmPu08kHGMNj1YSm+kL1Mw062dVg7PzLGva9s40dtyqe554nNw7sXGRIkkTlkp/o2CIa9bTSyPs8x1WJ4zni9hO58847iYiI4Omnn6a6uprPP/+c21ddRfZ8pbd27iqYtDfUNxwY+GSDFmc9NSCEMhi0ug+cd+RudeALyntPfMZA2g5IOWU05oj9X+G0u0Ue0sTgSUkAHdv3M5L0W2PNfAAkT//Pi9clFq/uni46ykup3rC63332rltB3mN34Ww+uA2qOjxf9D/oAMInhehvn9JgvF1Gfe9/BnT88AwtT8NsP0R2O4T/j2AymUidP4bcvygr3WGXTmfkzUcRPdZAy9QINUPJv/QDOnbU425z9Dm07r9NfX7OZBFWrv9kJ65GJfzetXPgE1PLd5VsufBd9n1dwmdrGriJUzmFdP7BH+nwdPCHSedRsn0nmzdv5qabbgrZnMQSa6y/vj8oumM1Ne8X6Lb7PYZfqmIWaZn2i/YHKLhxpW6bJdzY8zWHW/E5POQtWjbo75EkNxZTLAA5UW8Nen8QugcHk7F/MGAxheZWJE7U//0cDbU4W5rY/swjA/6Oxi1CY6DwpSf6GTk4BPMuerz6e/lgwukLUYZq7XtBZDP335Gvp7yVjm0ilG6yW5jyC0SOfikOlZ8dgg6pp4+lfqW2e5LP5cHTKcK5tiFaFbFJi8+g5oMdJJ+UqxGGARh1+2xiJqaw598b6dgW5A2ZxIRa+siGwKYxD84L1B378WtMvB17m3n1zmdYU7mJb6vz6fW5SCOLi7mNU8ZOZdQUCZPJxFDbwc95+7Hn39/iqGrHUdXO0HMnaT6r630SgDDLyH6PMzT8HmqcxpP6mOjPcPsa2dGpEAIkSRoUSdASaRtwCsMcpkw57dtqiTOI6ITClnaFQGcxxfcxUoHk04dyfb2ekAuN/4lItJ5LYDl6yRvCCL16JSDRsiM/MC5u1Djad+/E0VDH3nUrjA7VLzKOn/+Lz9ePnZ1z8Uha6eQ292rSw//8i4+9d90nmMwmhs3rW77WK4l0G3Ft0C7fM8kNEBVUtRHmJNY6lw6P4AmFmUfQH3bevTbwetrLC39T/sUhj/wQdBh6ziTdNk9nL1WvbwHA3ax9COyJkWRfc7jOiAPETk2nY7WVjrvnwLui65Xdb3u+O1o3vuRefehNcmsNeVj24ELJwX2wA8eVJDZt2sS1115L5qjh3LbxCX5uKOIM31UsYSOfUM6Nx59E7hSlLrvkgfWD+u79gbvNiaerl7aflfx/V7ESWXB4iwMTTqxVn8aIs54aeD0i8hVirXN1YwAmx+7CbIrAbk5HrbLsHmQPI78Rj50sIhSWPvLQ6jrb3Y99Pajv0RxngA1ifAY8DHdz39GfX4qu6soDuvgc0qFStI7qgTAXk++4RTcu47iTAQZtxNXla17ngbs2Pd58XL6KoG1acpjP60HyDowrI0k+OhsLqd2yhsYtm2n4uf/GPLu6fide+I34nA0w2SAq0BtOtmUJU2LF+fqkbv2Yvs7NEiKE/yvhkCE/BEBh805+fgFmuwXzyZvhhC9gsijX8XT00lMxiPZd/uOaTexZoN0WNSPE4LpUcOpJUrWLteHxCZ/kMH5FjrIhw7hlph/lz2gf+LKyMh588EFyc3M55phjePPNNzlm6FSeOe5O1pz5HHeymKkcjRkzpDaE7iRwgOHr9VDzQQHb//Ax267WNh7xLyCc3jKKOo8MbPeHmsPMisRsTtQbjIpaxuTYEhLtZxFpmRz4bFTUu6SF3UK05ShsZpECMZlszIhXyoOKO08a1Hlb5AYoGRdOBWD4tYeHHNu9R9uRy7G3bUDefLBhNKNv52kEn1OEULOuUG66wtsOXolWR8VuSpa+wN41fTeOGQz2fPimbluzS5uaSJl5dJ/15K0lO0J+1l2rPD+9bS3kPXYXRa8+ux9nOnjk/+tetj71AABd1XvxGXAAJMmHo6mexj1r2fXNfdSsUxaARuM18FigLQ58JmhJICvySUZFCalbZmklizubdwYWiME6CyVdp5PXlkC3RzgzPeXauTC/PaP/H3sQcciQHwKdtcVIti7iZ6Vjixe12HHDJwgDZhfh9M7CBk3uuT9k/2EWyfOM1dzC1X1A/POz1wxfHQ8fn0XLe6Cu/qhbokz+Q29IxmQxETEqjBHPJEPObhiir1FNDZIBbW9vZ8mSJcyePZucnBzuv/9+hg8fzmuvvUbZDzt56MgbOCp9KlZz/9mm2uU7AsI4BxL1q0qo/TA0W7bbk0dhp3YVZDEJ3fhoq8JcN5ksxNlOxmZOkd9bmRHfyoz4VuJsJ5ERcR9jYj4jFNwGpWkhx7Y68HaLeyRyeDzTXjuHhMMHThAounMNxfd+3ucYr9ROQ+8Lmm0DbdnqqGoDoOnrckb/7fgBn9f+wtlUL75v24Fr9RudKbT3045TIljVzvvgGKXULHnGEUSkhE5TdO2rxNXZzs7XF5P32F2amvSSpcq1bd0puCaO+ho8PYPzStXwSaEFh6odDylvJAmf242jsY6Spc+T/6+/0VywRTO+8KWnKFryFFWrV0F7rOazmm8/J++xu3B3aTsyet0O8j48B76eA3kzoSEFmpPo2RhNnO1EISYUlCcv/+EJGvcIMqXTu4eG3iWUdV9BXlsCXR5Bmi3uOgG3r5FdD2tLdcVPOTCKhfuDQ4b8ENj3w3vgM9PTVhHY5vP0YouMD+Sx972lqEpNWnxmv8ccMnsEro9nGnYIsySo3jhEOdu4+5Vjlp8PW0LY09QrlBx1WLY5kOuKzFEIQRmLppCxaAoen5eNNfnc9d0zpKWlcfXVV9PQ0MCjjz5KRUUF69ev59JLL2XfI4rHHrwAGP8PfTlWzfs72HHzpyF/uxHcrY6A8Xe01eDsEBN+c+l3FL+yhKq3tlDzXt9EoD3dv9dts5qEV50edhsAY6L3X11qYoyxclhfUJcmgjYHboSsy2fornFvXd+Loq3t2exz3q39HtPAPHJ/45/EI7OIyBpYXv2X4GDIpdpjxXmnTp1LWpgqpN6rRK9skdE6XsP4q5SxDT9tpGDxY/TI3veOF/S6/MEoX/nufp/zXsftmve5UUqEoq5XT6grevnpwOuKz97H2aJE4Xr9r7ujoUHbk6BeLq2r/W6DZnHS3Vqq/YJOsQDo2C3Ib1PjKhgTs5Zg1BQJb73FvYwqx+20uuXzrkmHd88Dr5ntF63H26NXJ6zrfVq37dfCIbLbIeDp9EFvOG6XMC6Sz0v73m2ExSRjTfEQvM60JYQP6LjtIWydyQrRx0DXRuDnmaQ/02oYUpc8QbXYc9djDhsfeNtTJsJbuXcdR+zk9AATuiatm3/efhtL171OY1szcfZoLllwAZdcfAnHnHZ8n0Su6DFJ1MuvpznAHB7P9KXngdlEy7cVVLywf4Ip268XecvMe4aw74egCfKLeXSzy3C/hKOyaP1O5PjdjmYIuvQmkzBUYZYRzIgffOpDjTDLwLuu+SF5B5cLtkTaybxoKvWfFvc/uA+YMdbQD4ZXFoKJHpOMNVq5x3bevZaY8Sl0lTQx9qETjfd1uNnxx7WMuOUwYicPsKnNQaiT9ou8mO12Uk03UNf7lPjAqdwMljDtjTH11gew2O1MuPrW/Waid5SX9j8oBPxlgn7E2uZo3kuSl87K8pD7+9zi7+bzDmxh1LhlM41bNjP5xnuwRUVjCiHioG5sEhkxQUT0ElqFSBUQGT+CToDuSLjt3zDvc1i4HB6SW+d+ZRDVmSciSjXOhw8IkW9/cMgjPwTcG4SHZLGIyaC1QhBSejsb8fQGGYe02pCGsH216NG96yQoC+qImXABDLkCLENgyO8hQiZJ28MzGLpwIp42/fHKLnax90EV8aotnrybRO5OkiT2vvIzILyutrY21oRt5+K1dzNj1mE8++yzHDv3OJ4+/a+sOfN5rjWfTOTbDf2yscNSYwifAPFng1meG01WMyazCUvUL2c679v83qDGD7tYVV70qNYrnRpX9YvPJxgmBvcbyxcLPf3M3w+ujC1uura8Z7Aa6P4FTH/wypUW1hgtQbKnvJX6z0ro3t2M12ms/e6s6sTT0UvFcwPvW9u1T99z4EDBbLFiNQ8hwiw3M7IrRs4bRM6y2MXvDR/SdymoP68elnBgqzH83A014qxKdKu460RKl70ccv+drz4DQPWut40HJDYbbu7cuwfJ5wn5nPe2Ngf4FmazFbIrIa4j8Lkk+WDLNGHEAb44UaT9+sLMnwMv+0opHEwcMuSHgCQTVT27RU1yfYEsumGULzaF9sB2y2Tpzs+h9Z2g73BC9sswtUnUWafJNslVJv4vNdCQaXvXTuO7qoWExyZWykD9ymJ8ko+f6wu57pE/kZ6ezl9f/zvhw+N49tlnqa2t5cMPP2TRzZdhsxivzj0dvZp65in/PYu2N+NwFoLZIHJridQaA7UG/YDx5QlqJVnDSIQa5ggrCUdliTeNWv1yf378QCLRfr44LW/ZgMZ7ZDXA8LSYQX3PyJu1FQs17xcMqInOtLh6psQO7NwAPF2CSGeJDn2dC/+8yrCrn392dDc52HGTPgxrBLUX6+rs6GPk/mNohPzw+A1IUiNb2zMBiB89gfjRA2sf7HE6yP/3fYAwcBhEdDr3Dvxaq6EmWMbbBHM8J+qNwLaevfW6fYzQsCKELn+ysaBLxbp32PLRBbh75Wtv8kKv9rlt3q4YXn8ZoyVMPPAWWySW4qOCDpod+gRveRKGK1UxXqkz9NiDiEOG/P84utQs4jAnkiTR01QBwKQL/qHfoS5NxyCWJAxz4Wo4g3QZrKpScedgemj0RLFrUwEP/PU+zvr0T1y34WE+W7WKK664gry8PPLz87nhhhtUGufac61+V5B5PF0uWr6TvSeXDTYdxba4MGrkOdJsxKUK+o0FN+iFUAaEnw6Db48Rr1v6bqRiDrOSOl/foCbBtsBg9C9Hs0swpINJdaEQniE8r8iRg2sIY7ZrldnqVuxk65XLQ3rHAEn2SzGb7FjNCSHHBMPT5QKzKVASFxwJAKFWuOUibbqjYV0pxfcoJLzemi7DvGhfCC6rcjv3P/URmaawouNt80UaxQRcvBQWKCp9OWdfTM7ZF2v2nXCNcbjX1dGmPcc4fdevqvWhSZF9Qa0caDMJEp7JZAuUd7HSuL3ugJDQojGeakgO8ZB6euUQ366xsFebMuqqqgi89kpi3KiTBJ+gvfZnvAWZ2oO+qb2eGozRpsQkfptOdIcM+f9xlDysKsWZ9QPb3rwp8NYaLofHjlVpNc/8meZdWtlTaQClpzkfat+bVYvkQjX3yWbslblTK1lf9QM3ffN3xh07hRcK3ic9KomHDruJ2tpaFi9ezPTp03X7JczSMqjrPi7C1dLDtquXB+riqc6AqizNuK4yPXPbGqWvX+/tNA7xqeFv2BFARxz0hoPXTEyi/pwnPqOIXJhMJkNJ03DLWN22/YXX6WHf21vxuTwMi1AWbwOphXbK+va2uIHxJvpD20/a6+5XBrOahjAs4vFBH6+7tAlMig5Azp+P1ZHt/FCLx1S9kgeSduXmGmT9eeNWhU9RvOFutn92NeU/PjWoY/j/Burcrh/h5rEQ3Q3Wvo2HOmw+6pxLGblA7mPvkwJkQNJqwaxPbzjqa9i++DHyHruL9rLBd61LC/sTQ8OVlJDVHKdjnvsRNXRYoMc6QEPeZuVDsxdySiGpUfxeXx+myxnG3ta7wG0ciWvesUW3zWKRIza9dmgLIkXWhagGSPCT68yBe7PF9aHx2IOMQ4b8/zqcqpyo3Y3XpUxWJpOJjMPOgTAXHPcVzF0PcR1Ubnxdc4j8fgjE0cdA+Gj9dnu2weCRZTBKCU9WOit5qu6fnPrdBdy56Sl2t+7jsnFn8vHvnuKFoW8y/6en8RWFNiJWg5BqwR8/0W7Ypm9z5vw6SbctLFUfyvb2amugfR4XPq/WcOdfru+DDJCYdDKdG/U11FX5L5N5ybSAwIom3+cSf6/0sMGTanwuL20/6Wvu61fupH5lMY1f7CHcrJQMlvXoWfIHG3WfaPX0fZJgtKeH37FfmvKdhQ2gIuSZzCbiD880HNtVLGSAPR29wlD4tFGDoj8pHrrP7cLVrhA7vC4Xu95ZohmvDuF2twjPraVq4Nr/DT9vovqrNQCG4fJxMV8N6Djq+ydu1Fgs4eJ52fnFHUj2Lgh3QEwXWLxYEk2MOHORZn93p/DUd7/3muHxfW4XHpWQjH/xEWs9kYyIe7GY4vG4VCHndy4MPgQA3XVazkfV56rndEQ5WLxKVKx4LGSHIMtVZcGmY6AitDqbo0mE5pPt1wAQ7tdhcA+CIyKXr8Va5wT2DzMfIG3mQeKQIf8/jKZdm5Q30ca5HXu0HDK1ecCsTIi9naE1zMdthYzHYZoTJuyCMSE6K0YfZ+DxWXx4bD18YV7G9cxjYdmpvNO6lKnJY3lq9h2sPP1Zrp98PpkxqbBVEKwal/6yXGTUUQZ5gaAaU8nnBYs4X3uyEnffeeM3AUY6QP7r15P/2nXaLk8hHFtTk8FDP6qU9qrtpJ46hty75gAQlq7kn63bT2Z09KchWbl9oeb9AvY8sZHqZdvYdu1HeOVGJ7XLldr1cIuy4mpzhy6xK+u+grrOgTWWGAyc+5TwrsfXyrYOsbAYqACMGqH03MOSxLGCZW+7SsQ97enu1RnxYOT/+z4Knv8HHocgN3VVldFZuQeAtCPniOMY1WEvO59C1YKgqWIDLWWbNWVrkuSj7odvqPri00B5lb8RihpmU5imUqHXN7BOPWabvCBy28ARCV75t5ogYWY2ieMmk3v+5Yb7lq98N0CQ87pc7PnoLbb951G2PfVgYIzDJ+6nDo/4nVuWn8+2lZfj7DJQDDz9E4iV/+ZDq+hpKydpSlA3v7g2CHdqIwa94WJOSmrEOqUWRu7R7tOjv19yFl4SeN1ZUUpX9V4anzEzuj0Pk8nGkOy5yrUwQNaVQR0fTxa8iVjr8cTa5jAxZhsJ9oOT8uoPh8rP/hchb9EyMhZNIe2Mcf0PBio3vAHI5RSztGVVaZOF5rLZonhB4fHpONvEw+jzhCYmRU4R/wDCc43HFJ6+G2epB1DCnLVU8lHD06xoW06zr4l0hnP9qMs4Y8IskiJC1wBb0/vOXQ67fAZVr4ZmHltSe9HVdaXWA0JL1uvqYetSOeUwD1wAX8wLDHW3OugqbiRqdBL0RECkA0fzPiKTsnB1h86LNm9QEYlGl8CuMRCvp++bTCaSzouj6b12YtvPJcaql7YdCPwlX3UrhNe7+/FvNJ3qTFYzdnMmsdYT6PAIJTmPr12EQ4PQ6v6I1o4vgMGHu/2Y+PRpnyf7LQAAIABJREFUuFscNK7fTctGPdu7xa1EMnwcOOlQW0IEU/57FpZoO8knjqJ2eSENa3ZR814BaQvGB9TgAjB7Qxr2vWs/ZuSCCzVkufCkFMw2O+FJKUiShNelYjJLZpxVHXTtaiBiRAyVy9Yi3MxPGHP5tUSnZtNRpu9YVvfdBjJmGyvuWU0peKQG2t3rSAm7ynBM2hHHYbYJb9PtJ+G1ylwDFYG1qXwdEbEZpIz6neFxWgq3YouJo/77rxl24hm0GSjGlXYtFN8Zdqu8RRjgwrU3YotIAlQch4waEYXrFtGu0m8fwuSJBFTkSZv892g2YOAntOHpgf6a4U27/SHMatKryUzJ0ucB2PXOS+ScfTFRCbk0e4y1FMxhFiKzVef9/B8CL1PChIRumCUreLdfDYc88v+hcLbXs/2d2/D0DkxBzLFXGIDqd7bRsNa4JhlEmU/eomU0fVuqXX0GOaVDZ5wFgM+rGMmxp98TeN1RvX/9eiVJou6lJpxlLrD48OJlI59xC6dxBiN4rWkJ48Mn8lTKy3zMHq6IvcHYiFuVhUT9hp/xOkIvLJKOG0HEsV1wm7EIRscW2VOYswEWfgCTtsOJn9PUuhyf10NX/R79TjHaKEDJA+up/6JA6Me3x9K8ZzMd+wopWKYSxsgJ0YkJYFgVHPkdxAvvxOvV/t09E4RnFpE+OFJZ7cdFlP9ns2HzkKhRQSVHsjHKjlwc2LStI1v1sZO8lkTyXrsMOmLgTmHE1fKng0FYSjTRY5M1RjxmolKv7fbVBF7vb9tSEAJBwbDGhmEym7DGhJF6urKYdLc4cNYGRadUnqDX6dFwHlqLC6jdtD7gmQNYwyLwuV301O6j4KYVbLtojUiJ7FUiMCV3f8vW129A/eCVvPpfAHwe/cJ0qKyj7nX30NulZXynhgmjUqUSYXH1NJL34TnsXH8HXc0lhGXbSD9aLNqiMmSDY3eByQeR2pKpqm2v6r5fjfrvhURqd602FN7bJhatHkmErRPt+m5gboeqi2FKnYhWdSspK4+rA7cvqLmS1U1KxvlBRzIIc6XX6LfJ8BvxEWeI47Tv0eoYtJXupGvfXtgus+2zy7GnKVoFvl6v5nlJtl8ReD2YBkMHC4cM+f9QFH5wD+6eNvZ+F6KOMghVS5UuSFWvbQlZl1twg8g7VT6XB1XyxBLfStZRF2nG+ck1/ps0LCYZiz2c1MmiFnTfD+8hSRJdQX0LsrRKmjpsmbiT6qcaaPI08nLjfzmTkdzCaRSzhSuTruWTcet4Mmsxx0TPxoIFtihGYuzfZS/45xnwpip/W5pL8ROh67PNYVYcF94OOSFKaZzhgkQzaQcMrYU5X0OYi8r7qsl/7Tp2rzNQbIrRpyLqPy0SL346nIZt6yn9z8pAThuA7Arj78/dJeZzVUem3fXXaIa0IUg0DWsGJ9JR8+52WjZVsuWi/uvX/eQ/qynF8PNq54OQPw3WngLvnRfY3p+aW3+IGKZ4/Or7NiB8Alj2TKWttEiz384VD1P00f2Gx9x6lUI6SjnFgKChgi1embBrPiig4r8/Kh9aPOJvYxLntfXiFeRfpG1KUvPtF1SuUqIHlnDleO5amYhWMkbkbdVYc6quRrl66wcahTI/0o6YjbOjmu2fXcOOtX/E51FC7REWEYGzmZS2ugWrhXHvaSuj5Kt7qMx7PvBZoGd2VwxIJiKHjGLkrMFzLtSd1wB2vPA4kuSFF66DDxb23UHM3guShbiS2yE2KArlM2lLxrwWYpODF2MGxjO6G4bo2x1nnqBEF+JGCUGpjjKts9O+eyct3+2GZpkbY3NjjtEvFiY+czoZtydhrTicMfYvGWsX6UlPu4/2DQe3GU9fOGTI/4ejtezH/gcBnTu0q/T6z4wZpu42VZcemQxiS4xkSO5RhuPjh08n8/BzGX/2/fJ7Rfijtfwnyi9UbvYJxZB8behzlCSJgp5t3LPvdn63ax7PNz5DVvgw/sEHfJqxketSbuSIR2XDnaP3gsPTYsn9y1zYHRSvL8vBubfvmu5ws3G6IWpkClRmQ9MAe6gHdtR/n0dNG9gwVxz3G6VfOyawZhqkAUr1hqZrbRh5bQlsaZMnZ3nCd5dGUL/5e934/UH9p8W6JiYgFm8jIl8JvHf59uGTerCaEuBnOU+Yp+QL2/IGrs1uhLGPnkT8zAzipg8VRDM/qofCTzMxE0P5J++x58OleJwOdr//OtuffYSefbU4qlo05MK8RcvIW7QMb7dynYNL3XS/V9W1z54UhSR3TEtdMFrhhQQx2C3doUlNlvBwojKCVPJ26DsKit+obbZRtyaPpny9eqDJZKbw85vxecXzm7/iImE0AUt7FtSmYTMrhjw+4wjdMSTJjdNbisuprsE2EZk4nITMI4PGSoy9VOm6FkyACwWPVzbKTcmYiNArs/XaAUkQ14D2wjLYmy0cbIec3nrtMlh8A1TJpMTGFBp3bkAHI+5JYmtg0eWHOudutoXQlHAECbmYJKQRyhw67fVzAbAnRVJd/gK1O9+nZPUjFK++l47vutk2pYrdlzfQWzW4EsUDhUOG/H8pqt/Zpml92Rcm3LMIszWMyCQx+Yw66ebAZyazmdRJJ2O2CvZ3dIrSdax8w4u46pWFQbi+3Jn2jV00ftXMm2++yaxZs7i84kI2dn3D+YkXsjxnFc+NfJETxo/DGudk/EcjGbIgnrjLW2BIUG45qRGz3YYrz9hbZPOR5N/+grGwB+D0yWxoqxtq06BsBHxzLN2PKi0+pz/1R8N9A7/vyA4YJ3uFWQMjFmmw8EM8Z8me0egSwRYOxgyZ6SznZCV62dN9qabGd98zFYP/7hAo/qtxw5JY6+zA64KOSeS3Z2DCCuV6L2v41Yfptg0GZquFnD8fS1haDL2N3UrZ28ozxILhB+X49T98Q/ueYtzdXUI/uyeK/H/+DUAfEh8Exj50IkhQ+06JEB4CIrJimfy8MXnJuzO0ZKvFFkbuBZdgsg6AAd2gP05MtqrZUGodk26403DXlirhDZZ8/TcomkCPV+R3nZ3VdDUW6caXd/2Bws7D2fnFbZrtRpHh5soviUrPZNR5lxOXM4bwBH0VhxG2P39/4HXVtlfI/ziIod4TiagHDHpOCybCrU/CC9fCT3L3vPeVqE97ldB/CBDjgPHznibtWAPJVEk2axE9TLvtQSx2pXJloIqAWD301reJ5z13V6AbmqNdz5Sv+KfCE2h8+5fJJO8vDhny/wVw1hqztkseWK8xbKHqgs0RYsIZd+bfmHHlEuKGhfAeZEQMUZE65HrOqQanUFNdw+1n3cHYeWO45JJL6Ozs5M60v7J69JfcmnYnp6w6nsgJ4eS+mEXuS1lEjJZX5MF61UmNzHj2RkxmEza9nodAwWR8vW68jj76AudPhaM2iY5IP86CGpU3ZPEhmfruXuQMy4PxqvKopEYRyjtic+id/LheZniPKRHjF70D/7oNpufB3Y/A8AqI6oLhetJXm/sTHQtX8vQvaepz6+uLp791PmPuN5DRUx1X8vlo39QpQpwqVDsfVPo6+5Fdbljitz+wD4lEcnmp27SJvMfuCmz35SsRi5760HnQwlv14iVG+XE/vK5eyj9ZhquzHXtSZMCA+2GNsge6Afo9SA0qtV55+JAUcs6+BHtcPNv+8xBScwg9+Gn6OmY1mrbKUbjhFRDbScHaq3A59JGT6oKlQT9IPIuF627G49I/kK1O4z7lktefRlO81frSz5AkibiRoxl17mWEJyVjjTCoHJDQesbdypjGvM2C/KmGRX7GgmvWV8nh721TdV8x8XrVwmNIU8CYW2xRJA05S/ksqZGMSZeImnjANsKLeSCLKT9qlYhGgGBnd0Okg+LX/ysr9elXPe581X7DDJj5vwIOGfL/IXC01uBoMe6r7XH27WkU3qqIukx69nTNZz1lIt/mau5hy4XG3YwGS9YYNusC5Y1LTOIWmWQqSRLff/89F154IcOHDWdJ0wtMiJjIunXr2LF1B+cmLiLSHEX8vBgiRocz7r2RxB4dTexRCuElZoLspYyqgOhOsi5QVt1SP62rqz78FleLwfXqtcPcDXB9iCS+10x+u8o7GiqHiz2qsKx6MvdaxDNtlgyFNHSYJJMDLT649A1Iqxevr14Cw/bBzDw4Za1x73OvGT44V/tzmvsmQUo+H/m/f1+33WQ2ET0mmfSztXXJYbLEauuPVZT/53sqnvsevgtKtxitA//0JN0hmL77i5o39N6kH8G5TT9C9aVWE9mCsfWJ+2kp2kbB4sdo2aR/9ixqfXYjaeKWIdCskA9dHa3Ejx6PJPmQNh1mmDIRB/Zp9LnHXX6T8Ti7EqYtWKXPWQ3Jnqstc3TZ+yaqtSbAj/roSUepIGFOPk3RPnd27KWlSqkbNVttTPrjX7Q7SoiUVFMy9kz/Yi7oBnaFacf3+hsYBF1Pa4hF9KTt2GNUbPG49sDzJvncWM2xMPMnmLoFMveRNvpM4sdMgNxSJp3Wv/hOwnjVQs8gOuJHb3Mz5V+8rK2HN4B3aN8dDA8WDhny3xjVPy8n7+WrKFp+r4a44w9lAzjb6gz2NIbJaoHjlXySq7kHn8cbILkFI/4wY3GMvhCTrp+gPB4Py5YtY9asWRx55JF89tlnnJdwIR+NWsWTWc8xk1ly3RZk3p5KztOhc4wp80czafEZWHqSoSuGhCmK0VGTuW1DYVSQE9bycwkF97+m2bZ7oVsYzj5gPlFm7V25RKz6/d564UTFgPnzpGcth5PXKDvvUdINGgyTveuLheeUGf5oyO9PshvX7QLgkT2loUou2tXSd+28z9m32lf6woma9/EzRKij/NnNtG4WaYPwnlnKgNo0uP55dLC7A7KuvxTWWPme74yF+hTojNaSBftA/ot6YxgzISXkIjW43ei+V7frxkSPllnKoda5kgn2DQuco88tDG/9rj6ke4fq+QRmbzTDTjPuwNYXHG3lODtVEYrvjqZhdx+SqgWTA+08iVQ4HlFniBSc1R5F+jhlwdjVpBXnMVmURe3oS67QLGxdZQb3m9pWtyTAnpHQ5i95kxcgNelQng3jQyzeeiK14fCsqkC1Tf32taLfQFwH1A6Fr46ntWILIw6/mcm/e8m4VwSQc7ZcT24yM+L088V51gSpt9n1HkNXawGl3z6o2x7Av/9MWPqB738wEBwy5L8hOmp2UrdtlWab5PNR8O6dGlaqYRIrBCzRNs0DVvbUJvIv0XpmKWdkB7oHZf9hFr8E3XTyNk+RM2I4ixYtoqWxjsfvu5XKor3cmnYnmXYRhm9Z1Y6rVkx0PrdxiF+SvEiSD5PJhC0uDG+NCNO59ii/v0O+XJNrYHI1xJ3a/zm2L+/fGPgy5HKU4Xvh5mcU6UqA7VPEw96YBBJYvcOENxbY2SKM/7QtMO+LwGbTqV/C839g+qkrmRHfSmq4UnsajOGRSqtJ21A0E23AkCc3EZYtJjFXa98euTe4FhoYft3hyrmZtfeUyaYnhJm6VWH0x/6i+9yPRtfL+Aai09sPEo9SEcTq0qEsR7C9B4Ki8bpNmZfo5W9BRI22PnHfgM9r2uvnYo03UA/0y4TuFN/tl0LtbAhaFIxWEU9TGkTDj0xlYVl40zpSJs5l6InH9nsuw6ZeycSTRZrG7WxDkvpOBw0ErdGKJ542RglVN5Vr+RPqRZEtNlqrzW4kpOLyC89YBRtcUo0xSxDdAc/eBC9eC5+ept3XLM9hvUFpG6sn8F2NxV+R9/JV8OFCKBGRF1dXC2aLHVt4aD3++NHjmXzDXUy/7UHxmyQ0DYmi53eJeSA3qEIkWLrVAAnDjux3zMHAIUP+G2LfD/qSII+zA1eXNh8W/D4Y/hz3tDfOwWy1YI2IDdkdCKCh6S2YvJ2USxOxROxfa86G1m6efS+P3zGMJ/gTSZE+nrjhRN65+0TmDmtnz0laz0PyQNFZovyr/mV9iQjAlrULKN78JwB8Lg9MFGGqyrvrcDnbqNvzPi1yNZ4lTtS4e9ydRB4uLwzWKV5NT7XwMgbcjeiwnwIv46ynkrIgW/v59inw5u+xvvRXPA9dBa8FedBmCYZoy4ZMPx5HnPUUjUcxLvor3VfnRKlaxZVnE2GagaknCdsOIcoTMORA3DHCWPRHZGz5ViHlTHvjXEbdOZuk40Zqxkx8SuQl4w/LJHqsnrXvWJdMpGUaY6M/14RIh8wZQczEFPi9ItVb5bhLt38o5L18FXkvX0Vz6SbN9uDFBRBCiEVSJno/mrVkrKwrZxI5XEy8HeWltJbsoOStFwHorAwqQ3SojLSK8dzTXEXey1dRt2MVU15Qkd78ed4gV73XtIu8JVfRsSyo1j+qWxjz7HKwerEkmJhx8SvYU7SdeeJHTYQImT0te4SxKdocf9KIeYRFi5xsT1sZPa2hu5NFTTPq/CMjzDhHpRaAMkLS1CPhiVupfrZay7jvMtBP75DLCrsNvNSkJlgzX3kvBZmia8Tfitp0LbfHhFB5U0MC9mXAt8dgtin3aXPp5pBzpy06NhBhiM0MusYnjCYuTa6eSVA908VjBUnWEQ5hDghzws+qxaLZS3vjwKqMDjQOGfLfEI4WfT9pj1PvaVV8+xr5b/yR6ryPdZ/5PF58stRm/hvXAXKJWKiaZRAPsdWLOWlwbTgln0Tet1u49NJLOfOuD1j6+TaO5GReO+kBXrzjd8yemoXZaDIG2r9UDGryohCiJpKXnvZSeh31gqgle2M9q9IoiIinukhpg2iKgNKf7mHbF+fT86P8nSVKPnTnP5bhbOyi6o2fMYTVDSn1QvwlvQbOfV/koneOxSIlUF9kLE/q2dfHRNepnbDMh+3AbNJOppHWKYyI1Gpyx9uUPs2sPYWOrXuRGqNxbxxOXOE9JO9VhGys4eJ4zZ9rc7p5L19F0cdK2K/5mwrlPGwW4qbqWYJhqTHMeOcCcm49hrgpxo0hRnR+TOt72hDlsEunM/qeuYw8QWH5N7lep9vzM029b9LlUch/HqdDMxGrF68V3/QtPBJAazzD5qk8Npsb4tuwJlqwxFh04fcpL55F8jzB/O6qrqT03Vco++gtuqrK6W1rDWiNB1Cvyo3KuduI4XFU/yRqw2u3rMDZUS8WDxaPNr+rCR8nCuNUryZNCeEjYjshSRiVyac/B8DYR1TcD4+P8NgM4bEDRIgIR87RSiQkZdTvMJu1v7Uy7zmDCwbMXU934krRH2Huev3nQS1L1X+jiMP6IIz+KAxc21PDFWU4P8Lk/ZKCFplG6ZGeSFitMuQZqvv55NVK69B/3qEI5IwvFEIs6kWIywbr50HxOOgNp+rr5VT//BGe3m4qvnlZjm66A4vHYNSVvU+HVkSPiu2PEZcuDHTG8aeLaJuE+LtuPFaw6T89Xfxd31Hpb9hdgZLAXxuHDPlvAK/LaXhTAdSqQu25pwjvVPK68bl7qdv6qVbuEXA1at83l26mqfhrwzpnAIbtFTcg4HUPLBwqSRLr16/nmLTZzJw9gw8//JCFnuv5SNrD33mXiUMzRVvOKlW+/XDZw82p0B1v6I16709db1pf/hF7XlkFv39DO+gORQ7UZIKuVlH2ERmi+qlwVgPNl6nKUy55Q2m0MPdLOP89If6y8nSweWHnOCiaQMt7TmOWcn8oy9Hkzk3Ttxr2DE+0L2R6nIhKxHsX4ZKbUkyP1Ucq2n+uonGH4DxEZ40gZrR8jdMU3oSrS3gNjmalJM5frZC+cGC9qQEic/QLrMI/r6J+pVYFy1+XnWDXhkOLu06k0nEjJV2n0tj7Kj11NWx76kFN85D6HetCfn/Ibmt7h5M84yhGnaeKglh8TL7qQVKOmAmlKl2BeV9gjVG8spKlWnJjS9FWoYIo50QTJ0wLaAiY7ASIVKlnjtaoFxa+f494bsyS1hH32MQk7zVjmEyfpCc/+bXObQnhRI8XkQSv04PJZGHGoncgswqShTFUG+7EYQOU5vULDCGfkuq00g47WeTpp2uZ8y6fUi3hiN0UUiWt6T+qhawjiJEe3Sl00YPD7MGVDgAP/U0bbXGGw/Sf4a5HRfSnQ5FoLdv6kHjRPISh4fcQlahKo6h1GgBp4zTqtn3G3g3vCRnl0lGUfalwO3o7lEilu7eN6pJXxTn7ca5YaCZlzyNr2jWkjDoZvpyrT/HUDoU2lXTxzJ/ALJGSpSUb/1o4ZMh/BTQUrqdb7vEN4OzQkteG5B7F8GPFJKUWgAmL0Ru8tr3bAq+9LifuDtmQTxbbK76R811GhmjOBk3/3MzDztWPUcHn87FixQqOOOII5s2bR0lrMTek3MLKjM+5jafJQK4pLhspaj/fP0/xUDxmER48VU+yMwqhttR8GXjdWPkJ3WW1EBm00ChWRF12fndL4HXSPxVSTsRQVe66XBtKJr4dfvcZzF8F/74VbnoaHrxXUXxTefQDYqIHw+IR6lLXL4YFH+GWajFjHN40mSxMjdtL20txFCx+jPx/30fnXoNuTi57YCLsatpBRGoqIIFkCnRwqvr+Hd1u8TNF2DN9wcANud+L7Q9GLTWDsddxK6XvvwZAc4HKaPiMIzYd+wopL3gU/m5cMy25fQExFLxmsqKfxOcwkTbld7qyMf+CQPLp88c136yj8vFiqMkgYdSUQIMTgHGPn0jaWeOZuvQM4g4bAh2xIRveaOCxiQYkmdoIW8ZN6Yy9+uo+dx1ynOCQ+Byqc41waozv2OMfY9KpLxKVqJBMx5+oZWRPPEXVwCZLH+nzIzVzIYwrhuRmOPtDuELMFzs6pwVaxgLQIHLG7XVbA//XFAY1oSmYpI1CtSUIpn1wW9Wg1sRJUw/XG/fmJEHEi3CIxVKy4tV3PDxDGGXJhNkUzdgj/hXy9+G2Q8VwWvNkOeTKbKUGHehuVJ6xwm9l9cTIHgh3MP3t8yHCSUTMCExmC8kjTxLaCT1R0Kpf5A7lEeXNKaKBism8/1LCvwSHDPmvgKrv36F4xcOB985Wba1h9uwr6KrTK7EF+oGrYLErq+CtS29g14p/ize2IEUh/0SQVsuIG44QRCzVAxabMSFkjaXH4+Htt99mypQpLFiwgKamJp5/9nlWjvqcy5KuJpagm3qviqS0exQ8cauQVnWFgc2DOar/26xyxzP9jgng4XvoaVcWJHt7FHnJqDHGwhVh1wsSWsJhuXDly5BZEwh1GsKEWByZBmHQvVbimq4RDNyThedpNYuFhaOmGZ9HO8FJvUrI2ud20bbLQL/e7tK87u2qE4sMrwVPt0hXtFXm63bzN0gxWQf+iA+ZnU3WFTOZttR4gTf97fOZ8c4Fmm2pYTeEPJ7//PyqWXmP3SUmbLlPtC1SCc2Wrn2S1p/KNTK1nKAQB6tey6Ps62cECfDJW9l7SThbEzy0LA8y1i4bzhbxfDm7qgOkTiNEZ47BFqWcQ0RmLBnnT8YSYWPb0w8LolVTshIajugjFbVjEjQma0LWabOPIiq5D5lSFH6Lmpw4Zo6YK7Kmi5KzqMRR2CO0z1xErLbaJCwqjYiUDE0LYA3mbIDZX2M1q46T0gh25Z70Sq14fPL5e8XfyNkpFgW7Nz1MbXFQO97ykbBepUmg7tst5/ot1jhlUZzYzNjLbmDYiWcan2PpaKHxANrgxmYRiYgYGY3ZZKdje50QkOkK0RFvd66xkt6GOex7TjHk3g4PtMaLML/XEiDzOe66gLzsSnr3eegu1cvl+lFzl2K0x8x9hHFHDWIOO8A4ZMgPMno79RNJwGtWIWOmtsHApAv+hcWuZ8pW/ygeJsnnEd5Nvky2MKrDnLseJhQSMz1BQ8Qat+BeRp5wvW64y+ViyZIljB07losuugifz8ebb75JSUkJ5+Uswm6Ww2r7gkrW1DnDlWfojptyqbJqz12i7RDkau/C5QjKqblVOdkH/qb/XbGhS6+aVlUYbu+1CK89ftJIOOFL3efJOxfrtmECogfWtMaP9u+rhdiMDLMvhrybnqXosbcpfuJ9XG1dVK/8jrybnqX+S60BjkzNCD6caDPph8XLzo8eECHJpmTDRih5L19l2HRjIDCZzSSfOAqz1cLwa7T5iolPnWZYypUZ8RAZ4Q9oNxaOFyVFuWKxFZ87DkeLinzpshOZPAJ3TysNRV/idalyso1JIkSbUwrnKHrp7g7ZS20eoiG2VV5shW7VNWqPp+ilZwGo2vGyTlpVDas9hvqPlQVh9Vdr8LkNmu+0x4tnzV8ilVYLU/WLJzYdo5RXhUDydK10qiVcGAN1x7XoIWOZsfADkkcMriRt/LFPYxqujfblRn3EuJhvweIjJ+41AMZEr5L/X0da2J8CY7tbK9n3w3LxW9NrwGvWNm1ShbsDcEQE/s4AscO01QPeWruoHTd7weIjKi0Dd9UAwhydsTrlw1TvXUg+idK/fyXy1d8PkCHeGi+nP6y41RmD988T81V3lMJNANHPHCg6pYaqLz8RWhI16UIzoFG59+zDhPkc/vgQokemEBk3sIjWwcAhQ36QseM9bajQ3aPkY0wWKzOuFMQnW6Q21GSL0OZWY9JF2NevK93b1aw0PQFNKNgSFs2k8x8P5PO2v61tiBA5JAuLit3Z09PD008/TU5ODldffTXx8fEsX76cgoICLrroIqxWK9YElXH1q4xFdwpWZzCLNAitG5XJpa06D69DhPDaCyso+NurVH36ORSNg9XzieyerV3lH5YHj9+uPaBBw5IAllwjHtoq4/r4qOEpRJi14eapcRU0FumN+4hTrtDkOO3zlRB+eGoCo647gzG3nMOo61SLF5URx21l318Uw+DY10jBva9S97loqVq3Rtta1efuR+0mSETD2dpkyLXIf1Us0oxy3gPFkDkjST9HqTW3p4TuBx5p0dak8+1s+OftsFPcs5LPR9GLTwY+ttmT6ZFDnFWb32brUtmrl+R9c8rgDLkWW/Yw2/NqhIH5+936E/Czn90WTd6ys3GbIujjV+pyKve91RJD3YdK/r/u+6+6zeX9AAAgAElEQVQpXfGSRlUugOYk8NhhyjZIbRDRrUX6lIYRZvzl74F/WSdpvVFzuHiuHJXtRrv2ifih+tLR0dGCpBllOZzpcc3E2uYQaZnIjPhW4u2iSiHaeiQz4luJth5GrHWO2FGCPR+/RPOLZrjoTVFS1xlLXf4qHB1yqL7DgJlukpRrC+SeJLcuDS4b81nEnATsvjTEbw2WLD5Sq5hY8fcimr/Ss/RH/eU4wocanJsfeTNFpFBG4R2rtb3qPTaozsRV54EdytxgPXoXPa6tQkuiMUVoBtRkBBaOrmox5yadF40keUJzPH4FHDLkBxFqo+3H9ncUucHpl4VuFeYXMxgyWnRM8nvQ9mgxOVecGw0P3at0CVKF1rOOXBQYp0ZizhGBhQOA0+kMGPBbbrmFnJwc1q5dy08//cRZZ52FWZUL9Xb4uzipxGDSayG9LrRghozeOsXwNn6zna13vkh7YQW7/ysm67Zvm0WDEaDnmyh9KcqIoNyxkUeublHakggfn6UfA1gjIxgdvZJRUe8zI76VGfGtmCW9pzFy7nWYrWgYsi4qmHDPRdiHxDL6prOJGz+c6JHpxI0PapCxd5gwOsGRi35Qtb4PMQ/QXeeqdZ9oDFMAX8rtKoPblA4CJpOJoQsnMmnxGYx5YF6f6n+xtrn6jR+cCw/eD0BrrbbMzN3Wox8Pgg/gz0XuGQnFY7Sa9m9eHPqEi8fAJwvgCdWitSkJOmXDnrtLiJKoQq6lD21Uxg6vAKBrt7G6og7JjYLglmYsyZl52WTdNsknWgjvvHttYJu/c1zlC1vY9+bgVMHU4i1+RFsPY2Tkq4yKem9AuuIxtmMYYr9QIah9dhrkHQZbpsHys6AlEa9L9sp75MjHfNV9avZhDrKhkxf9i7icoMUdYu5yOZpx7pTnkuO/hJOUa6FrlGRWGUZZPrXtZ72gTsy4FCb8ux9BicrswEtnlfFCouCIatGsRYbr+2RYNV8/cHcubJvib7PO9qvXsMURxzbH4MW1DhQOGfKDAJ+nF0drjcZoA+z5wiB8awD/yhVg+NGXMPG8f2ANEw9RV90uJMlH9zrZQ/pIDsnLco5mq534bFEi4ifQ+ZF1tJgIe3t7Wbx4ccCAjxs3jm+++YavvvqKk046yXDS9rTLD59X5ZnbDML5ahwmE/eChRUgYMQHgqlnBCmHyRGA9FEXkz5KLv8Yp1KhMvg+P0w2C1ZzAnG2eYFtTbu+1Y2zRSXgcjZDeK8s9CLEMcJTE5l036XYYrQktsTTVYuBwomw9JI+w7pqZM6VJyH1ij56APXv3ZGKUpc/HaGSDG1cO7iWp0awJ0YSPbr/hhnjor8mK+JJfUkS4KrSpwBGnalP7WjQmCKuo3oyz58Wenyh1nDkvXyVlj3tsomqglBINtY2MIQ/D94Zq6keCMDqJvW0XN3mju1ibE95K3mLluGoahMpAxnqMP9AoFZ/VCPBvgCrOc7wMyPEW08VZD013j9PEFgf+SslK+X56H25A9hMVelabzjDsv7E0Pkij+3zeLBFxovIg9uq01ovWKf08ebMFUIlMUUWx0nq429QJDxlfwRDjYBEfMQBbiPaHg8lxl0TA5DAvWIGLFiOlzYtYfBXxCFDfhCQ//ofKVp+r267mpQ0/fLQ3rjamzaZLYTFaD2rmuB68qM3MvnCJ5h22fNMu/Q5zBZxZ4fHp2mGeSUz//3vf8nNzeWGG24gJyeHDRs28OWXX3LssXpVKckrkTehiLwJRbgbB6cglftKFhOfkksxDpcNur9z2EBxuGjnqOMKyPbRZDJjtsiTWbpqQvUEPewW5dw1im2Iuv29m4KaTwBRySOpKpLLVtLq+1y0eN09tLiDxH32jCJsbWgiGBAQNbHHGYTA47ReQ+YpBvlSmVlM4XhBEmpJUDgTvzIirZNJDruM4R3vapnpRtHG9Bp2Ww0at3SojE+kgdfuVBmF040lh8W4MFGRUJUhPHtHOCwbWBvOAUF9L2ztY3ERfFo12sVZ0R1r2POPrzXbXM2OAYdo/R53eGxWPyP7RpztVCK9x2qbhqhx5+Pw00wRWgZcVVoeQeXpKXgqRCrQ5xQOhT0mTvAFuqOFGmJklODC9KgWwJE9gmU+aQecsD5Axh1+pyrPHqklGPrlgxmmRGq62wVROPLMakhVzQND94WskgigNg06YkidvZ8Kl34y7NbpcN67VBb3wag/iDhkyH8jGOkAjz3jHnJOvLHffYNlXbnxP1QsiMXbrF1V2yKEt+bx+Pi82M3o0aO57rrryMzM5PPPP+frr79mzpw5tK+FrYngDXICW1bLIezuSGqf6cKkPuWc3SHPb0bheGJnRSsGqitaPKhDB9kZSE3Qy4PhL8FIFXG2ZvdbJA49HntEGhOOfTFQA8ojf9UeZ4xSERAcbdj2llLGZo2IZcQpVzL29LshhLCDjpgHbP3iHMP0Qm+tMglN+OvFTH9S1SY13BGoo7XHBnlP44ogroPkmQoxKmmcqoGJv+7Vb/hqhdjLkNhztMc5ShvS/jVQuXo5vKqKBKm94qguIfzhl+48a7n+APc+CG9d2G+6Brtb7H/2h/rPHr1HGIhnbxb1vx8u1Cp0BcNA/xyLR5yvESJUi4y00N3YgrFvqQFBLqjOu+DaVWw51+C6GMAemUL6uHMZdZRxyd5AYTKZcB73H3jm5tCDXrlSee21wXnaBkxdK+PAEc62+55H8km4O7QGeMJVf6L+WS/crGJ2v3sBrNC2iTWPqyQ8M1yIsIA20qZCzO+UVGLJ9yLyOWLOVcScIhtWrxmWXqpdOBihYgQUTqTpeWNddj/CR1uwZBhULai7FbrsuL43FlY62DhkyH8D2GOMQ5VRySOIzwrddhGTPCl69LWKHetgd5AWgdkWwfq8cs67bzl3/esNUlJSWL16NZs2bWLePCXvWfM38LZCZxDfq+JOeYKrzIaSEdAkr9jDHRCmXZXbh+lL2UwmE+PO/FvfIc0QiJ0oVv9jjxQa5JHTIekqSFiojAmPysQePoRJc14hPDqT3H/qvdFxeTBqmQHb1ghp9ZRvf4jWlq9orFqj+Sg+VYQOC766NLAtb/Wp5K1W5eZyjUOjo288i/CUBEwWMzOeuZExd54R8C7Nliii0oOrAMR/jW1LMYeFkX36eVjCVFEJVY2t2uNt/krFJZi2BSId1OavDBAkfxVIaPKRAaMNQhcgskchQqnD5mesUKRS1fX8fSFYnCUYPVGC2bxrjGEdcAA1GVpRkMhuSGwV5xusUhbTob33p8g1yhaPUAu0eEKeU8z4FOMPMKg+OMdggRIEk8nE0PHnExalKNN11hbT3RhatjUUfJ2D6IAY3al7/ns2hwU69NWs/Y6SxYqhD7eMxmyPoOFf/ddYS63RlKx4XKlMiFdFplS3y8gjbyHlilihCYHQvCjMtdD53CiZoS5/1w/aKgFFw90O3UqEx9vRd5lp2Mpbyf6qQrvRZ4KdKuLs1mlEhw1QtOcA45AhP8AILgnKnHUecVnaHrs2g/rwgWD6ZbIcY3CnHhk9P4KnWXQI+/rrrznmuBO48/kvsVpM/PuGefzwww+ccsopOq/UKUe89ywwOKgKUo08GTojGHZ3GsMfHsrkb0eTcUsKY17LZviD6Yz/RGu0LWF6tvO0fxk3Dxn75/MCr4eefCQz5q8iKl4/qWeMvgyAtJFaDzQ6M0gAxuQjcjpE56ZhiQon93rBGPZ53dRsWYGzXdURrdeO58csqE2jfvdyqorEtTaZbUyYvYT41KCWnkYYtQdO/EK3OWq4NmRZ843SjMJXFYfk9THm4utImDAFRqoIP3Y3466+miETgsK3agLY9hALP5mkV7NlBbtWP677uL1sF87WQeSFB4qWIIP54jX681Ibdz9sHni6D48QFE94ytZA7+3YySHCwcEoz9a+nxEk3ZvcKIx2UmOglj06LRezJzjXLAmDnSiunclmhlNWix7z/ra2wK4lQeIpQGdRiP4H/agIViz+mZr3iih/6kfyzvkQV1MIsiCwa9W/KP4kdJe9X4zkBnG+NoMyPRl1X/xAb5OyMHLu6yR/aN/9IvyQUquISgmx8G9QFkLb1lzIsBNPDXAbWr6Wn4nvjxSpFfVzMUalTHj8BiEl67UGysw0MPpdJ6+h3fsZe9znkvZYK5YJ1WKx4IzQDQ0ldXywcciQH2BoupYBqRNPYuTx2slsf1bMoFINktnARvgwqYA5MacxZ84campquPeyY3nn/rM4fmZuSOaxzyBi1FeeLuPvkHJRIklnxWNLtJJ2dRL2NBtJCxOIyNEScDq2a8Pp4+5biNluHMayRCj7Rg4L5b1AWs55TJn3HkMytHlWc1D+m5PW4XI0YLZbGHbxTGrL3qO1YgsFy+6gNn8lhR/cExhq9ck13A2pQqlORs70vxEeNRSvRwmzOrv3GaqGRSdMID7jMBirDQcG/97Oyj2aNomNGwuIzhxOq/SOINepUPjl9TRWrEaSJCae+3dGz79NGIuxxiFHQIigRCt/1O56/f22+71X2SU3ETlQ6K6p0pZEgtIlLrdEGDyLVwgF+XOXh/8gxEruu18pawTwmUidLDToM6+T5TE9VpHSGb5XpCUkyP7jAGuJ/RKb81eLfymKp5127iimLnhDaAbEt0FEDzFZYxnzuzuJTA6a7CWzMNgWWT3O6xW11FYfHP59YFhnXiuSxxdobuNuV0htaWcEEahCOMM+lxefy0vzhkpq39tJy0ZRBlb4p8+NdxgkPL1dlG140fhZn7QdLnxLLFrUuPxVQQJz2+Gql/SGr93ASTFauB37jfb94d/DrO8huYnuhj1w5Hf6ffwVBxn7iEnSVgU07VCuPd8dA+2qBdjUrcprE3CMXK1gRI4bUwJZlUpof/ZX8OStgY/rzjga7z+vDE1kdfcdoj9YOCCG3GQyvWIymRpMJtMO1bZEk8n0uclkKpX/T5C3m0wm0zMmk2m3yWTabjKZfht2zkGCkX652Wpn8qJ/B96njDcg+gwQE897TKm3PGpTICRYRxUPcDmLmMI2NvHYY/9g165dnHnceCxmM2PP1OaNnVVOnFWh679bP5Pz4wbPeFrojpY67H33K9XJF1D1vWCgT37kKjjn/UAe1zanFFuMssI17ISlgtVm3Pd3nOqZJcJBQ+Un1G3+moqV79FVXk7Z+ufwOPWMcE+XKh+qMihWmwjLqyMDLmcTbQ2qiUPG6FmPkzz8NBhRIbSXgaGnaQ2Nu0f+HhWZrbO075KnvdtfYMvKBdTsfpOYoWOZdMHjxI8JLb1qmbVHRxJSw+cRixB3l/Y6dNdUUfX5/ofii994DpYv1G6ctw6GNJFx4skkJZwL2+To1IvXMj5mI9YMhGTo81oW+8R5L5Ix82wmnf0kUksUaYedIoyHyivDY2P7FcbNbXQIltyNVa5//PRhWKyRmGK8Ivce3c3oE0Xe1dFcA5HdJE6fJNjqqaoojtsql//J96rVB+Nldb62BLZc8h4lD6yneWMF269TCKoZiwyiKBb9NS++awP5Fxo0SnIY/33U8qN9ofrn5TQWf822N2+htexHajaqcmqx7XDPQ3D0JqEtf0FQZCFBlYLIKYMHg9rBfnKm6CWvRpNBKjGlXvM2YnQsxKiewage7DNa4PbH4eF7tPvO/pbOpu0UbbhJzE9tcXQ/1MeculUbEWX9XBFWV3dvA6wjHOI3J7RBZjX85TE46nv9HJi9V8O7UaMn/7epJT9QHvlrwClB2/4CrJckKRdYL78HmA/kyv+uAZ7nfxGKPlI6UKVOPCnw2hYZR2KOyNekTjaoTZThqGoXnb8MIElgsYUrIZ2sKlJXNLAk588sZDRreYeLuY2P2cNt19+B3ROBdPkLsCuXooShVKueh8Kzd1B49g6qntYakaYVwoPolXuHB3ouDwLujh6afzDwGC0+sdoGYbTHC1IX81cz+uQ7sESEkX3RPLLOmzPo7/QjUj1H+sxExuVS8+3ngfdI6JmsjiBWPAQeXou8YIiKU8qJSn+8m7J8bfhySKYo24tJlE8guYmp/7iW9JNmasZVfSEbHhXzuadKm4c1me1Mnf+27pRa9n1Fe/3P2KMSSZ8VxGJXefjeiKo+S9+6qxWCTntlEXs+fYW8D86h+I3naMj7juoNa0Lu2ydUNe2pfzJjSfQI79sskRZ7Lc2udzVdrsJ94/GkbTE6EjvGeDCZzBRcvY7q+5zU/UVeXHUOMC2VVal974wQE7gai95mzMPHEZUr0gHjjv0nwYgdNgZMYLaaRRhXndd32/VtVg3EkSoWK4u+pBNE2Hj8v+Yz8ZnTSDpejv6YJcY/fSLDr1P8mr5EYva9vp2C61eTf5Fi6Is/UbS/fd7Q6n5121ZpKjUce1Vh7zM/gb3ZCt9DfRvd9JQ2Tz33Oo0uRQB+4ZjuSNFauEbbeW/o3ZHQpk3B2BL0YWrX6LWCKR+muqYLFbaro7OSxPR5Sqe0UFg9X5DePBZRnrn5aFHO5tAS4TxmFelRHY7faVCCpiZxzlL+vpb4/4+11iVJ+gYIpoWeCfgbFr8OLFBtf0MS+B6IN5lMv01i4QBD8vnwypKG8dnTyZx1nubzYYdfTO7sv2KPEipuksen0Vh21nZQdMdq8n//Pr0NXeQtWkbeomX4PF7aVsIWM2xbKMpVJCS2H9HBERfN5YU9T3Cc7VSWs4ubeZw4EvG2wVb/nPe4YLXWybbHUaZEDRpe1+btKh8WE6A9RYSIEo/Xip0MHUD6rfyNtVS89QV5Nz2r+8xsVYXZVCv1Wh6h072RIbPGkXyMgU7yACFJqgnMEUH594qiGN3RQju7OUnoYoPItXYZkOF8ZvCZsNiUz3IPC/3jM0YLprY6fWGJ0IcUW4u26ba5WjtxNrQRlSDCv1NOWYrFZqykVpEvWL+2xKCJb6QqfB7m0vWb9nmUEKirQzEQu99ZStuOUiFyIaO9bGD1zMVLF7Nz6bPUbFyPJEnYmxVZ18RFZkyRPtgxEeoEGSs9/DaYoOjJt37Qt/fS8p1s9FXNchit94SyV3QRMREmbJfDmql1MFV/nemODiziMqZewoyFHxI9VrkHI2KzGTH9VsbNfiKwzStLtnpdA6xR7qfZjl8AJiIjjrDkaIZfc3jgs9bNlSTNGwGW/oln9StLcTX04Ov14uns1cny+qWcg9G+b4d2Q0cM7V/LXrY6XbNVFSg97104f5lI16gMWML/Y++7o6Mq0/8/d2omvRdCSAIJgdBBpIoiFhR711Wxr65l7bqu3XWx113rig0Fe0OxgNKUHiAhCYT03stkMn3m/v547p33vWUmuN913d85POdwyMzcuXPvfcvTPs/nyScjNWGxap7LDISfnk1Uqtzcwsgm2I7SEmUNdqvIcHiWtx85b1tloPY2Sd0LI0ndaGDLHCJx2SB1S5Mb7VhdROoTZ1eWPPIkVDt12ivyzHWztoX+TDlTxyn4L8hvmSPPEEWxDQCk/+V4SzYAvj1Ps/Te//dS+9Orob/zFlyp/fzpX3Dw/q2hnFTN8z9jz+VswZXfysrK9v2ZhQwHSzvQ+5704psl2IftuAJzccXNf0RmZib+lfI5/p76IjLB8nndr+tfY8f7Hag4n2vOIS0Mgxyplja6gDMI9Cah9xWlwsgcptKlZ/t+DFaFDxWbY8gSrxm6WJHH6vWtQtXQ8C0AfWIXBgMbw37uF/uZN2b2ESI5nAQMLIerlqABKJuM/cvZmMalaEOio6fdg3Fzn4fZyoOiaFm5BsOHOgvOvQzjbmPMXPYDjRjqO4CYpLEwmsJvBsGAB/s33aVo1YkpewGrF8bZB5Fws1QWaPYrjCY55eO010G0hAcqAYCnlyIEfrsXrauUirOnrAT7XnsGux77C4ZamuFsaUXb5rUoefweagMqiTCqhXq396YADz0IMSAiZeAWFE95H+hOAQZjUbdUG3kyT2MAvLqbdUq7xmkVef0bP6K4xIyocQImVpoQddP68Dcn5Wtt5iJ4dTi/k0cejehEBrYKSjzwAY+kWAyRgWnDAdfEQHhF7+un35r65q9rhVn14Ca0rFHmlLsObNA9tvo7rmtaUCCPV2ZBzG3Q/Q6sXko5NI0KleSlzmbGdsE7CSj6iqOY3jIXZq8OYG3CPmDOL6h5ihEwJZzjBc5fhdRcVbSEB5L1J1Eo3uwFVlyiPG4oWmEopF0RQZH2J2mJbwCi3B1dx6ItxeUUiTh6PTvGaUOGSSpVbcyhBi8AUFSp7fb2O8jvAXbTMzc1K0oQhGsEQdgpCMLOri5t7e7/mjg6qtFfz7izeS5zWWTUqrOOmJEGJLrBts/K4TgYHkEs+k3o+wDoRhsewFJchlloRT2WL1+OzZ9vwVTrTEAAJlQC2Y/Td9oe0T9X62uqmlkpdB6U01PdqRCDIoLOoLKbEYCs+4HhWB/rV4QB4kihKndfC/obdqPf9zWQLAVxbOFRuGopdeWhynOS0vOWxB/sR6l9LOvG1hY50GNyq4BZ+ZxXK2343v7ekAerBxZ025tRu+NJiIq6c9qsKzZfDzGov8hjc/IRsDGGrKaPaOMd6ovsDQcDbgz17YfH2YriJxZj4gunwmLKAQYSEBj0KL4/belLobBk4y/vI+AbQuWmG9CwK3KXpqx5x8LvtWPvJd+ibeUBdK9lKPn6rz8KKXqFuKzwbGGsbhWfPaj4uPWBIMpyAjD3FVG98pN3as8xaytizuMQ+TU6ykDCTpgS9Tds6xgBGfOO1P0MAHALhYcbjx+NsjF++LoiRwUcbTQnPHYKP6flU7lhQkYYkJ0xCMzXV6JAZLa97nWUdjJGmzH6NkZQknfTTEx4/gRMfuMU3e+5GgbQ+XY3UJsP/DwXWHMSxGZtXrryC9Wm0JmubEMqHEJ+dzexRsr9EmQxpys3Bt8HOlUe+bVAr/K6Bhr2AFYvUvOPRWy2lGboSAcqikOVCQCoKZRE9JRZyFHTrlJ24xvYKUcYxRDtrkIOFLFudgA1TFFLLs3BKUUcDmbbLCQaTwN8VmABxwQ5WzKgLnkHo7/9dQ2W/pPyWyryDjlkLv0vP+FmAPwOOhKAxvQWRfE1URSPEEXxiLQ0bV/u/xUJBnwI+n04+O0zEY/jkaH7//o9vL1MebV+WIYD92vLlrB7KrDqAlTNSsIqvICzUYTvsQqX4W58iipcfvnlCHSy81qLRMTM1p6Gl5xbVSjcOqnNolxHGzAi6AzCVapUWmO+Akaomlwdssz9GVOuYvnHEFXt/nFE4chRqg741sEV0Edk+0SWBghAC1jzBCVv9G4pBH7uRxFzqn4nZ0BkNwPx3Dk5K7/spcfg6uqAvZ6R4MiMct0N6+B1dqC/bRv8PlrIabnMoyr57lQE/OTNiQFS6knjJ8NoseDglrsjgtJyp/yZ+jBvnqfc1OxxKH/0XdR/9zH2PfMivD0ycU8s/B5VXlXyvvvrd6Ft3xfAwUJl21kdafv5R+xdxzbIlrd1GPk604CafGAgDuhLAJb9lYUg73lUc3j7E2Tc+CLZ5BkdyLuJC+nqbLLmBCuS5o7ElH8tQcapbIw6Kn9A5QZCF3cdlOh0L9uKUS8bqfc8LxsXwCs5n6XZ4YF9vBHm6acLj00ZjxmnfQF0qcrs+Ha3kdrj6sikF9l8CXqlOTKHcQukLBiFqOw4mBOsSOfuWSMHxjGSIFVeGgCc3SqP2xhQ9iRQ9zC451HgvkeAiVoO+L69SoPTmn8IuWGXajyTekPGttmagqLFUkMcuYZ8M8c2afJTxUDAgNiUYuRM+iO5f1uUBoO3VF7vAvWCUIvXouxf79fx0AHAbYXYw6XcmkZB9AswLFumPK5AirqldaP2l6fxe8lvqci/BCCzZywF8AX3/qUSen02gAE5BP//mwT9HpS+fxt2v32dIgc5/fJXtQerSjzUdI26cmAcyrEDSzEbT+HPmIQ5+BDluAHLEBNH5ws42Hm733fCqKO3JnBrrm+lKlIgKzo599QyEp2vB9D7gjLkHH8IHRUDrjAh25ihEFd8SD45m0q9+pMU4crqoXNQMahfsy2KbNMNiFrrV4AU2525A3jmFkWJ0bCSSIZM6jR9qsaKN57DwVVvAKUUUjRb0pGf9xh8XhrH2p2PY+8a4n2PT1GiZOtLaYE7WsnSN8fEyRcMFHAMeSIw+giWu0hIlrw+tw346VgC5fmNoU3aWaMTxZEiLLEpEve47GUFBXSsK9GtfWU/KBlzdXnAqvNDb/vtqnENGICaAuDty6k0R91OMi38c299KEwYcupuZF6bDKPZjOluKdcdNAJ7uHTGETvg63OjT8qdZ57FKgma7++Hc6AGjd+sgfMrUg6Zt0Uh7UoDsuYuQsy5XCRKh6416BYh+pRrtHXrN9rjfEG4etsxUCflmo1+yufaXIyDvVNV237cWkx942xEj0nGlNeV7YoBwJzC1kbjGztCf2edOx6ZZxUpjs1ZOhmjrlahsPWkMwOO9vDef3RaPgzRXKlUWqeG5AVGyTiZpmWkm3D35Zr3Ju39ld32bO4QWNBsTUDvngPAV6cA9bnalqky6LZ2NASYkZ5/shakOrJJycOgDqAJQWWvCIBhGjwWMgxiBoGBeAjP34HSCT3ImsmAyVUrXkPQpQIzqsLq6vLj/5b8p8rPVgLYAqBIEIRmQRCuBPAYgOMFQTgI4HjpNQB8A6AWQDWA1wEM0z3hf1M6yr7D7revR8BLXl3a+IWhz0L13px0rVV29jn46E+6542bmIHRt87H4OcL8Bj+hMswC91owzJ8gBfxLXJA7fgS7yTrOuhknkDjnQMwRGvDY1GcEW/nWM4mfsJtCBzatvVWnbrPYUA8ALDnLh0DBgAm7oM7EH5TyY9ernlPFLW/5wyy2rKgjkceCA5R/rUvhbxr3ouNHVSUHCnE5gwtyKQibdcm5YUR8t1fmYy6L1ZC7NamUBLSZ8NkYWHm/vZf0Nf+c6huu3MnR53KN4qoy4fFxgwodU2jkP8AACAASURBVPgSP88H1i9kQD09CRhhtqWi4EgqUUgtlHKPPanhvQ9ZZA+mPUvTVzvo98MzICkqezx7tkGjxisK1cInaz3T/k9V8/Po9cC9jwBnfQZzGm2yitJDOXowvkJD8WuM5u5H6pjXtZxFWXwg5T1ixhkY80z4KIQYELE73o/KWUrvvO/5UcBWzrATgYavP0bFewz0mFp8DFLGzQOS+oAYKbpi1SLXjdFmjP/bCTDFateWsyQY6irYs7E+9P6I84uRfZF2PqadeGhMiQdWP84unXMkJl3wBMadeg+yJnLeeFd43gbkNQDHf694KypN2xzHkhXBK1d79aqucX3+L1H37tc0jn4zGfkd6ay7oxyd6U6Da78PQ50NsFZw7YMtHiCnOXJLZVFQRk4AMhC2zAFKZpBBuvYE4OnbIQ7R77at5dZqUADKwgBxe5KB9QtR+cVj+p//xvKfQq1fKIpiliiKZlEUR4qi+IYoij2iKC4SRbFQ+r9XOlYURfF6URTHiKI4SRTFncOd/39Rmrd/pHgtNzCwJefoHQ5XfZ/u+2opuHMBvtq8Gee4p+NTvIoLcBM+xn4cj/MgcCZm6gkUerP/rLSiKxbrs0eNVaXtZuw4Ai13ctZpSuRw4O65JXBVH3p3oUkPXQ48fD/9S+pHpyeMkgcQLU5DcZwSrNPr+xBNTmXBeo1Xyo0FBbS4/qYhsqh69w1qHhI6CRdVsLmpU9XkvVT2JklUehowloyM8XNfQNwoFTucnpROQUC2CVRczj6nA337yzBp4TsSVaQBcMSidjtb4KPPvBh71lxELwwi8+Rqx4SQ6wDQVxImX+7hPBFXlKIHN6oLkZg5C0YzXVd28SWK0rSIEtZYE7H7qftQ+9l7tLFWjge+P1H/0MkcWvz2Q2ggceyPoc59TVsi9Pfmrq3wfgq5CkYBudfPCPuV9AJGn2vOCI8Eb1tG53apAN2ez4qBj85DXI40Jm3acLUlOh55R12GySe/wYBuniga9w0LwvO1c7J/gSdES5s0W3//+LdkIAE+Fxm8HjvVbaeNX4hgezxKMrrRcoEOs9k5tK8ZbCYl2ctshswefZk+GE/U609wtOSwpHP7UlKPsgQ0uRu13guVuWuAooUfSeyNXJe55nNysP/jx+F5hZX3Yrp+GaOmDFHdIlldPqiWp7kOlqWTFW1wARABzr4JhIwHYOs8JvL5fiM5zOz2b4geYUZnxToAwPgz7tP9juw9FNy1IOx5u119OGXO2Vh664XIwCi8gx24Dc8hFtp4eXQOWcRdy5U5VtGtH7qM0/lZPx8BDbfPmb3AEWRr9a8/NGMkecZYWJKUhC1drjeBBP3vd5avQ6DbrIA81juvQ6f3VZTZp2mZp/wmDPi+hQimoNz92uxMzAhpU0zvoHCvKaDxSt2dXUTsIQLW6BEQDAbY0g6R9hNgZV6daUBVIWo+fgd1X6xE6T8fABpygcE44pqvYJ6VKRUI+Lhx44yo7i2somCoQUmaoRD5kfw8n3LTib2hNw0GM4IBPxrWfAq/wwV0RW5Dmr3wJJhioykPqSeSl+NsbyFMRTivZPYWILuV1epvnRO2cYv18p+Bp27TzLugJ8w1cHwGpnjm1SYtkJRrtrZSwmDUiSzpSNvDOlznnzD638FKnValkqRPoXImc1SS8l72TKFSx/fJYAv4IniKsvhM6C859CYsw0r5BNStJ+a28o/vBfZNgDmQi54vwqT17nwcmFKKwj+ejUl/vYbuR4eyNLFYGxHY0zMeJZ1aQwfHr6WGSfyzacmhZiWyjK4FSifqYzc8lApKOTdR+f4aJReHcWojdEXRGpVdxKSSX5EG6E0CHnyAmrzwcu1LwMYFQD+7NlfP75MlPqzI/w3p2Pd92M8EHVi3r9+NIQmpbk5SenBR2fEQRRGr6zbg3G/uwI+7vsOf8STexBaMg4r0jgtVGsNUTUEA0q4DCr4Gsp8ApuqtWckaVjdJUaC2AQJiyU0hALS+2gr7Vm142mcfQtlDb4Vep8wp1hyDtixqNZqjXXBd+9fjwOrHtKxgALzBeohwoeL+r4Dn/izpKrp+z1AHAj5SpD6PdKMeCymu7hSiDAVgzh2uLlcA/OYQWC15InGb2zJGwJY+DMVBZwbllLvTAL859JuBoQBRWTbkab7SUvG28g0Otd+wkg3KQHl9+N9V1dMKNuk+RKCj5ksMVB9A994dKH/tGcCrRXibYtg8TJs2C1NuuI8e64R9mmMVefXeZKBlpPYYIMT6Zd51GpKOkY5JsOse6pnyYcgTR0c6YQ/qc7H7wi+x6/QvlZ49oPDIXc6D2PXl6Wiv/gytle/Qmy0jtR6dSibuZxEoU4b+MQ3XBwjkxqdlHtC2JAaA0SdfCaOVPRuTRYqMBAWgXorsSLXJemyCGvGZIQ4J6F0bhpOdE0MUeZLTPzgLOPFbfdCkPQGDLZVo2fkJPZv3Lkbr2UVo/2i/9tiqQiDOgbHW7xA/NhcmmzRnBLBw9E3PYdTZizStgAPiIAJ33wrc/Dzw+B3AnVx4OWw0SACqCwBHDBm8y/4a5jgSf58b6c9yxhrfDKW4HDGTJcchbhBI7ULKrQNAfyIKHtOvYLCMPETiljm/QFh1hdZzv/8hWvN9yRQ5kAzrxEWH3gf+PymHFfm/IZFAJGqxl7aj9LrP4ZBKzywqIo/6qjr8eeMTeHDbKxiblY/3sReX4HYYIU0ceSHYnECUBznL7ZjSBRhUzkbRZ0yzj3g0iJh5QWTeARj1mEwDRiX2TlqoOY/EK6kTi7QL/uCN2nvv2rwP3h62UcUVjERAVG1cPjOFkfX4jSNJwyiUfnILXA19FH7kOr9VfPAI9rxDrUG7PBJvuCMWpNDY1M6bepv2vDohz/qSZ9HduBa2VNrlM46cj7EXXom8JRTSn3rzA5rvANAwREWSmPwMDPWpaqHnanml+ShE8uwibd5V1XNdrJHq5UUBqBiHwYbwbWYRPYQpN96H+GlpgNWNPe9eD8+g5LmEq4ltkbytxuF7X/tagb6dlWysZH5zGaPw978oGdKaRhED3IEiBkZSI6hHStQT8zehvvpvdEkVb6Gz9qvQIYY1DKCHS97RXJd1NDN+Ju43YWKllhe7+/UgSj47H3jwwYj3mDphLpLGEBBvaEcQjTcGMGWx9JvtXEQnh667teRL9NbuUJ9GKT4zsOZk1J0ei6AzcinY1LdPx/QPzoRgFOhZLtiIwmUzUPzs8ci5kgMINuWgo/Rb5TXVFCjOZXxmWcioijPO1/6YyU+eeVoPUudoqYH9Yh8jVaobDeyaCRy7Dnj0L8C3J5GSO+4HYotLUQE027OAN6+IeK8AYMpxoXPxcfofJthh75ZC/wYRyGxHzxqKDFWfMagklwGQeFk/dr1yHXChlj1RIx4rxHYd5WwKAB0Z1O/eHkd8+8XlsMb+PhVWhxX5vyH2Zm05BgCkT9BCuw8uW694bYwhDSyKIr6u24QL192N3d37cfv0pXjj9L8jF2PZwSNaKeya0B9CVRvjTTBJkVIxSIs9qtCE2CMZ6GrvxHbsLW6HY68DDY/Wa0PTe6eihB/5sZSLTTkjiXJZ4yvon/HQeIMddSycJJgNEAwC/EFasPGm4xBtnM68uszwYUqNBAXgmdsQ+IprDfjl6UBbpgLVGvC60bepTQrp6ljaOg1OQsAk/j56K9Cw50VY02NQfNXNSC6eCpMtBimTpmPG3ctgjPq/szYNtdUr38hq1XA+i4Eg7BUst5c8o4A2jpgh6JLfA+TdAOQduKLQXabT+zqzjVIMMU743YOwN1eESu76ardHvnA57FkRhuP9REbrakqwAKsu0uYj5/2C6Hu/VT57IUDjHBSUYyfzbk/YR0aAAcA5HxJxB6D7GIID0u+ldSKjUIsOB4AxnxmR/6ULNd//A+bcMDSmIpRsZACBJSXJXXQRco5i598/L4CuV4MIDIlIm7yAsYdx0lu9BXU/hceJAFCwhbU9HRnXIBgFCEYD7K1SqaYAxBXkwpYTj/STOEVdPhEom6jhsuclMFmn9BVAovHU0LnlqHS9V9u5sC/AscjJRCkBI7D6NFJwrmjylOdsBY7X4Zlwq9ZVSpdG4feccJGGrTAkM6W5e+Ia6bclA002dg2iQpn3+ySyrXAEOEfsIHbAjA4lg5ssl0oRNa+FPPKaMcQaGO2CwTgMoPQ3ksOK/D8oemh17TEC7F4H7tnyIh7Y9hKmTJ+KsvIyXHvRlfC/qAMiEUBdmaSF1L2ShWH7VpOXZsnR/90DV+5H9+fd6FzViV0zd2qQoiExBjGjvBjGGCMtFm7hHorEFzGATvR4C4KiF/sGKS0QhBvOAAOiWAz5yFyoX+IFANMSWiBAWjzqBQ4Aa48HfpkHNIwKbeYtOz8hQ0HveABtVR9o34yVFIXs6XHidffClpoBQRAQ9ATQv60NfkdkNrRDFp67XggSAjxoUkRCAh5fqLEJAHi6OfZjGZXbkQHYuXBLZwbl8hwxgCMWokNH0yUxjMLe925RfBTwe5GUdTSFWAHdJh4AlKmRl/9I/y/8UeFh+wfCPyvnXi/Vsss5ThG08arLggBS4KO48VlzMvGlN2cD715CrF6AgusaAIxF3RhZvBR6krjEgLqD92Kw+SB2v3w7CvSyZOp5lN5BikiS1OLZMJi1+XdvA2Bv3E8GuCzlExUc9HyZqka4Mr72x4IoLRg+enVwDatdVhAWiQD2TiYgZPMwALokLWUqAPQHvtK81xvQerE2A5dKCxgojB/qeCZdU5S0b+mRznSrvNh/3ATc9rTCeIIhSHPsFlWt9pQ9bGwMoPkvC8/qyIPtZCxItIvAuHcvQ+4zsZjWnIppzamwXLYRscu+oShEOVc1cNtTZLDK4yt3epPnriWA5OIwbYV/YzmsyH+lqNtXxmWxWtbUcUcpj9VpD7h+/Xpc/NO9+KllBx599FGsX78eYwoLMOY25XcVuSWOy9exxQt3DV1D3XW0MRtjw2jdQfJam5+RNkM9ak6V5Zt7fx7VdXMbed7zw+R9jCx/OVS4AhX1pwP7i4CqQuRYnoBJYAs1M+56CP7wnq2jtR7TElowPaFbn9kLANwW4OejaANwRaFr72bauOTwXlBg/arzC+Ho0cn7Rnko6hCvzV027WONIHaf9zVq/r4De//wLTxtQ5hys36+NKIkciA/KbICQ4C8bBnoNqOE+KwBBD1e+IdIYRdefzqaVkse02As1ZNvmUNphu0q9p/2LPKcqwu1ADcpNB+VkUFhVlXjmPY9q9G36yDjtQ6YiHt7KufZO6JZD+dZu4A526izVOGhp5rgN7PQrj0O2KITyg0n/UkEkvpO1QltrBLdP/b8P2q+2jnwHroG3kfAq0xRdAy8of0dezzrYlZcTumgMEtM9LM17jkoIqlwmnbe3vIcsJ3Icho3v6fgRQ96wke9fG3Kz5o2f4iWbdpuaABQcIKql7vPTBiNcP3qAeDENRi1ZTcS0mkeRQlF4Y+VJNl4nuY9Z5CLUHqiaIzVCrtOeiZbhmk7e7GUnsivBzK5NJ/TRv++ZZUIyGkkZWz1UhpnMDZ8iaXJz/Y0dVvVa19F6sU2GCwCDBYBk857DEWn3KU0gKaVUKe3T88G7qPUDspV0ant02E/UB/5/n4jOazIf6X0VDPrf8aV/8LYk29H7lGXIypxBKLiGYJm14WrUHIR8wT9QT9e3LsSxx57LGJS4/HLll9wzz33wGAwwLFdFTKKs4c2+NRLbAwUJEn5AiUYJm4uWfyjX1fVdrpU5B96RB3pynOlnpZKSk4mhxhdA0O0gOhJbPKra7yDMiJ37magdjQ834wGbvwHcP1LaHmhDX43A8g1Vj+OtpqVYTmrqSuTAYJgxKi0MFRy22cTHSVAynsgUXmv9XlAFW1Khecr82+2+HxMP1XaDNWbsysKaBoJ96B+yG3ftevgHqoHRteg8NJLNK0Yw8nIGRI/dJydsX7JYDU+122mcQ64PGhcRWU71lTOiFKF4CNKUy7gZAZT5vyFwPIr4X59FrD9SKLAjCRRLlL4vRxauIQr9Xr5Kvb3n14Glv0FOEtZkhmS8eX674fLt6t7YIcT2ehQjaMlVolwdnmr0dT1IBq7HkBbxSeKzwYbK1Cw2oj897io1s3PU1lhTiOByBrygAtXArc9jbFn3qj4fkk0M3hd5SIsMQlKL06WN68AKsahp2w3di+/PvS2c9fw/AyydO77Ce27vwu9loGeAJCQo6ok4LtzteigyY1+wBWD/uyXMRD4GgAwwaYs4ZoS1UnG5W1PYZT5eQCAR9T2D2jt0WE0U6dV5LEKl5oBKDp28hrle2OqiTSpKx24QsU3IXvWc34GPjoPWB2Bo97qBcbUUMh8HIf9iR1EruWl8N+TRTVXhXevANwqbEzbCDjbwlNt/5ZyWJH/SjFZKHSTXMAsy9Sx8zDhbNa+1DegsvqdPbhm3cN4u/JLXHXVVSgpKcHMmTMhiiJKRrbhwJk96FvDhdHiKJSeeUMsch9LwoyVF2BadXj0dOrFNKGConQOOR+kDlfqeRUCgHM+QjAQJv8U60Dt8jVwxrJC9JIXb0ZX49eh1z01W8gifvoO4KXrgWaGarZ/EE/lV7J4JQYlRwwQ3w+MqUbufBYG9Qx2oWT51eg5+AuMfXnsezeoOql5opR50qFY5WcATKcpwUVRcbnImXQ1BEFA0XyGrM0aez4mHb8ceP8PwPcnwthBm03tE1qKg8ayV4EoDw7u/Asp5eIKjP3DNSi65DrEjx6rOd6SkIDEQql7F18KI9cc80QcfWSIde6WwG8BAypfeot9nhbBcNBTfkOxtBHm1cHNwzo8FqB6TNh0OwAKV668CHj1TxTCX3MS8BMjPVKA1QAKp5ZO055n1lZdik8AzLv/v0hvErGScaLuZV/RyEqVOvq13YTijweSz1VthfX5dH2JyiqNuJEsd+4sVTHBPRhESvFsZRSDF3kdeKLQUkltRB1bIivywbIuONprCZwFACLgrqW5s//Lv4X/Ip/CUYHbABD7IQB77zbtZ5K4fokiBfzOUqSZyXAbCrI1VVrowoHFbuClQ+T04lnXdMR084eYFs3SSNknz2d7Vmo3GewAK4mLdQD/uB5472Kdi+eifnJK0RgEkvuU++CxP0LEIRhTfMgegLhHZZD4aK/11eukiP4LcliR/woRRRE164gnPGNieM7ShtcYcGhrWyn+8N1fUD3QhJXvvY/XXnsNsbGkdEpGspx119vaxiEj7maALoNNQPQkFjZqfoRtMAFHAKIoov7BWsrfJOrnvAAAk0qRq44mFlQrOnWNe4trG6mX03r3UjSW/xN+7wCCAS+8ZbHATq7vdpMqJ8efwmWjusudRwJ7p1LDhKKjkFKkzJvXb1yOulc20yXcuFxB4hISf+RFk5AzQUHlOmHhC4hLoQUYm8zuMSouR8motno2Aj4n+n7W1vS67NJz6kgPobLjcvIRmz0qlDeNHZkHwWTG9Lv+jknX3Q1rYjKKr/8TkdLIopObx3gCLnU3f00bUXMOAp3SEnXagN1HaL8jS9BAoUW+BCtoAGKHEJWWCbg4ysv2LPLYu1OVbHdcRQBaOcPxZyntwxmGVosEfpMjKwGjts87AJz2JSD+yh7N8zYpX+uVxMnXMcasqhUGjDH0DHz+LvgCKqIjHf52dy8ZSFnv6HSrU80xHk1eeYQWR2AwmhCfOR226SJw6pfKD7n6+/a1O3Dgk+fhTaIyu+yHzRj9ngXmEYLC8Kk6rxsHVrzEFMn2I1E+yYOuNS263AkAEHAEEZOkE3GJHwDmbQYueZdF+UKthgUE7CLqrvag8yWfdK/cfbvYfQ8EfsDg5gB8rSIcm4LAdydycyeCdXintt+7LILZgCmFG2AQrBgf9Qum2lqRuYiVjtl+voEdnNsATN8FfHkakNKrLEWThavt1lDPynL+KiBxAHGGozQfBX1BII+bD72RuRhQOhkA0L0qfO+E31IOK/JfIXveYZPJaGGh3D13v45ejoVroKQVgWAQr+37GDdueAwZ6enYWbITF1yk5XiWJW62FKbh0JXqblvjVrPJ1PEKmzB9P/TB18l5ZLzy7UpVbLCpT1fBfSR5A8iSFFVqD2pKWKOLmAkxSDpOCtObufPKXp+0+e9ddyHK/vkcsONIZSjtAMMNAKB2pSKkxSUwMJHkkXUNrELPBJ1uWJIkJs4hK1q9wfcnag/mlFFg72jssYcPR09b8jEyx56H5GztQt7zTfixwlA0hfHevgxjJ7JOYvH55K1lLzwJ029/WDF+QzaeklcExqhq9gE2buUT2TOSUwa/zNMez0vQSIh1HjhUOxroToH7hWPR/72EBeCAV6jLBb45iRqf9CewBjqtWURVGUasS3+BR+46IperbZtFSo8HyQlBGo+hWGWva5UYEwyY9tESCNE+WBfVUX6Ul1nbgOm7kHUeF/GQ6qbzs56EYLCGnl3+XdNCqZ/S+rkorVNt8rJXfLAgBFZq3f4lBnvK0ON/V3tx6xcqXrY/zbw3QQfQ3PdxEPZvRSC+H8IiFRmOivDE0VqDrvVkoJoXHUTSGSZMPmhD6pUCYyRLGAAeeJj+2eNC+ffGFetD5ylachd6VwXh7xNRPr8Xe0b3YGitTklkbgMz8hM4Y/+XOcCeydiT5ULv+wE03UHrnKfE8PeyPaXafh6qTuQiePsmEVaiejSljA4WULOf0jDEQbO2UiOb164O7UEpi5jx76+Oh6edjN6UmWR4u97g0jpmPxn2kQC5Xp3BUYuk4KMMyohFW9fL2H3SRmZ4H0rxjrT/jX02zD3/xnJYkf8K4QnxLbGkVLt/KUfA4UHd8u/h6XKg5NKP4PA6ccumJ/Havk9w6sRjsbNiD8ZPipAb8hvReou0YYcrsQAgmHRmbvQQTEkmiD4uPCSAgeV8FmRckIdxb48HTvgO3f7l6GhaCdz6NKFVpTCVz6P0XEbcmgLM2UKLRha57ag9gcKzr14D/7uqPsJ68sytQBNHIsLTqAJo9N2gZBULCtQ4QZKh7M+AD8/VWsVqtGtQULQu7X89icgmAAhGA8SACE+zB75u2qgMRjOyx/2BfZ9H9dsZm176KRwLFaBANVfdshfeHlrwqZOPQPFVtyA2WxsybvBeh9COkFenvwl1pDMkNp/jbP4VuXGA87IF4ONzlZ91cPXEdaOBfZMpmtKdxvL2dar7VQEiPcf/k73YNR3YV0xKW5Rqmo1+CTAZoKgLQMr5GDUDEUlgyAODxYiMSzPgqVb1iE/op3GdtgeJc7gowVIqAQq6/BBFD/Dn55BxViHqEk9Ec/cyXa5+m6UIhjSnZMwIdJ8eC/qry1H16Qvw9g0QAl8S8yklGo7xtkeC8HVRgxVRx9GrvYgMG9f6JJgvX6M9IHSiTDKYJAa5FhMDq+VecySSrpKUSNlk9p2HHgR2SVGZz88kfu+bXoDnx3zUXRrA3gw/3PsjhIknllFoGSADQRZnjGYtVZ/vwcHT2V4UoiRedywwUtUKGSCEeMVE4nFoyKP3ZL50gMCna4+jUrigQLz5cQ7g8buQfel4jLqW3efBNz9A5QtvwlHfDJ9Dn1AIu44g47NynPYzNdDzpG+Am59lr0c1KNa6c6AOTfuWh8DJrZ3/ANwmqoxJV5XLxqmuZyaXmpiwDzHjw3db/C3lsCL/N0X2thpW/UgNKXpSse+m1WjobcZla+/DtvYyPHbtfXhuRwFMMdqJv2tEK9CeQbmVPg6kJoXyDHH65mbyWSoAm82F2jtr0P6uKszGNQ/oeM5DHtt8zkOQFedN+r2py+9fGcr7hCSfCzX9uCg8w5da+pOApySP26nTfStoUPJ8t2cqvBdvj0PTGz0kPLq/I4Mh12UJGICtsyAEYlB+fjn2nVmG0pP2hmrwRVGEJ1iHNt/jymvokZTJjJ3IOp/zBL1mTXlS2RW02QsGA2ypEZpPTN1DEQ69jRAAHnmANlSfieX8O9OB/eO1x/IelboRxCE0uAHAnlV9PtCXyPKqdlWVQo9qY5SVwI4jCGT04QXAuuPZGBlEykcKUJLl2DwU1dHJ54uiiPY1Ethq7xQgtUviTxiApWERCmbdh6icOMTPSAdufhZGG82jgEuax5kdEE4kKtDOgbfgcGnr4q3mfASjO8lYclvpWW+SuItlnoMlXwMv3AB8cTp8Vz0E63Xa5kal2X403hgY1lPzio3AHU+wN+Ztpvk4GEs4Ds5r9KXsU6SBFBS+epLQD7x2DQCg/nrOolCPnSxWN2BSGfuhH9emqAZWK8GoFTPdBJa9QKeUU/FF1e+XTaZ7luuxOzKVLG5mPzLPLgztp64OZjQeeHUF7NWqvHoyZ1ReuAq47mUy1uXUgwgyTGRJ6Kf0wYnfAxkS2PeoTcAJVM8+1dqHyg03o7P2C9Q3P4hdZZOAux6jyEdXOqHtZ3BYGQeHxZmwD5jB4SGO3I5A4PfpSX5Ykf+b4mzoR8Xd3yoW846Ofbjsh/vQ57bjpYX34IaXzkCvcTkaAjdoT9CVRsq1K10JTJE8sYL34rFr5k4MVSoXdMY1qhyfFFLs/lSVC1QRnuw/sRd49RpqZPHVKWxC6hC0iEE/LQan6rd4gJNePvRQRI9gIWhQbiw8GcfIJmDFJex1hup6904FsqV882CsdlPatABoGYngV0fD08CMm8Eddgz0b0XJl2dgn2siWn0PKxV0h1SB4LVgcKiE1Sq/eymxVf0KGQxQrh+pPcDRGwikY3UDIySFzl9zfwJQXsyeL0/FGuMgT2JEKxDjpLK25B5N5QEsh8DrDdD4iqBSrrYRkbuqyWJ1M3a+r07TP0YGI6m7zSX1Mo4CLgRvm2hA3d6nwCaBIN0ffd9bS3wEtd1/wph7pwE5zUhMJgUcdLPztPcx9HFVqzRnGnOA1SfDWnIB+veXkSE2GKeMTPAigFUWCED8hBHAhqMxpqlUcVj3crYWxv5ghEHN9qwScwAAIABJREFUoJjSDVSMBxavAW56jt77eT6FlB98iJQbj0lIsGMoyBRG+uJhOpyldbEmLkOqkis9A0NutPPKtcB7Fyk/85r//fWsFj2js7pAO7ektTpi1w/wtjEDw1GnonAWgJhMrpGROmLZKa3TnlR6pkGVSruLOsCNs26EySp5yxIY1yLkYs/XLGLV2/8p5d0HExgYFQA2cQQ/fAoxQTW/r38JzZ3P4PeQw4r835TqJzbA1dAfymF+Ur0WN6xfhtSoRLx9wt9w3DnHUMgPgFOvwRtf78ijy6UcVvfnBMDZf2kl2pa3om8dhbWjJ1kw7gcuN6wGo8kMW3rrUmZd2nBMKPeXOuokmKNokQV8hG7pKeM2LXmBL5bChHJoyRemXvPo9ZTnv3w5cIzKm+lNohpgWVIlC1mOSIyrBGar6EqjVSDA5D5kXj4S1gzO85Zz5T1p5Mnyj0QOtatyZoGhIKqXdgLLr6RcMqAM6cplMuMrUbvjsYgpj0giiiKa/mSkELQshiCN25gawGcE3riKojMAKVd7IkN0cyF+JNiVxlS0i0oFjUElCUlPKvVVVotfB3TGGwp9wzSSWPQD0cnumRJ5489qI6XNd6Qy+kO8BgDoPkw+wOiHy1mNvu8j84vXfvYeBuw/Ys/G04GggB7vCgBAYCgMcQ1AoevnbwZ+WgTPtgTguVupDt+jjKgouscBCr6FrraPAa8ZtfXKTny8xB1tQO6rqmdbUwAcvRFY/D1wKxfW7ZDmozsK2KXs3HbQswRBac9ImDoMx7+aeY4XeW0e9wNwAitXC62LwXjg8neQslCKerVmA1+cHvn3/i/SNIrtPbKMrgNGtKF18VSUFTDDM+jTjufQam5epkUo72rO0ZZoxg5hhPlBxBhnIOViaZ+99lXgpufh7VDtLUED6+on7zt8/4mZ21gEMLdet2VqXPTM8Nf3G8phRX6I0lnBlFLO7Avg6yWvRHTE4OXSD7Fs5xuYnTkZy49/GCNjM9BXUhMqXwpCJ0ymDocClFc0iJi0MwO937IyjNaXW1F7N02ooDuA/ZfqILhlyatnf5/0zbD3lTvxRvjcpFA9LgrPNzzDoYQH4ymEJINkZNDSbp1SIwBY9CNwzzLKiR6lAqd9cL7ydU+KBIKTFPm0PcBmFfAsTquQRhy9EAYLZ/zsPJKxLAF0rTIDWat+ftkQxU395pHAVdqyJABssZq14eD8O9hG3LelDQM7O2DfQ8/S1TiI3ed/jZKpe+F68wjg9C+4H5cUuUFkXaD0asS7k1lUJKlX+7laZCasplzgYBEUFk1r1qF53LwUcEQvf1gBFNQAU/bSM90Rvn0oBBDRjs1JXeGcNuJF4MlJMtrpOINIufrmQyhF234kxPIxwI+LYLbRvTS+Uoqx6R8DQ6qUzZrFyhaUcoi/OUfrte3kNt8olxIXMhgHOGMg9oan3mz1/R1xZ3CpDjUrXqEO7317Jov6cFLqYp549guHwCao531bPYRMz2oHMjppHI75SUGEklJwFGKLJMN1IAH48HydEw0jJ0XAAPyb0vyNPo4iJJZhOAZ4j1mKCGUYbwYAxNg4INrBscBjKuOMNzRljEodFw04ZTXhDPLqqFLiqI2an09O+HXRuv+UHFbkw8ieFTfjwOrH0bTlPQBAQs5kpE8g8n5/MIBHd7yONyo+w+mjF+Lpo25HrFlGn7vha0VooQWhst70PLy4QcTMtMCSpV+u4+v2IuCUco/pHUCMAyn3qzwZ3sOaVIak91QlMDoyZgY1A7F3lcDj1qlVnlxGv3n654wPW034ADA2LADoTgkBeUKi7ucsGoAVFytDsGp0tsmvNHqih+DqboZgUv0+r7Ab8hR0pAA0TVKa/skpqVeuU9ah8yJv6jrjFZ3HPLnax3ag+pFtOPjAFgBAxY0/IegOsFy/Iw7Wez4FvloCGETE4xR6/2/3EdvVWp2GEENxFC4UQeDCgM4zF4KkOPJrqR0kLz4zfUcGd8mempF7pgETvd+QS9GBNi7kLD/DyXsZTbAgkkHwtTqsrqNRWrIpD12fz0KVSb10aFXR8Ghg+Rrl/3fMAqrIs5s4jngMDHFA9Z1lwP1/oxSFIwb44lSi8uWFT+moFTkvMvZALqsbpl91/NWNaPM9ilJfDkb+VErXqleyqTbcv1nC5uzR6+l/vxGBNiv8Lgd2vXIdWnx/ifjbw96LzwQcGAuc9SmQ0wy8x4Cd6ZZr4OuT9qRODtcxTaevt57TIXdiVDUkCX1lnk4UEghfYx9OBsOsS2D4+XPtKwCA3atpHxL9qvtQzAkBeJ5jx5ukTKUAgCUlCUjvotSLABZdmbuZXZLv0PpT/KflsCKPIAGfBwGPA44Otukn5R2J8jvWwO334s6fn8XntT/hyuIzce/Mq2EyGCn0EjvIQttOUux7wQBDnka/tABVgx7jRP7zOiVVkpSeVIrSE6X2jqYAkGBHj/V55UEZHcBZnwDzNwFjD6LPFUGR59fC5+uFyUyLpaXqTZSv0nb4imrnNkU1mAWgJgL3PkLRgFUXUAhXvZGGk6FYWL0TkG0OQ25hCJLCF4IULhaA1m1rNK0UNcJvPo4YFn6XgFaeKp3vALBODQMyUrPkATBGm5B+6mjN+5WnthGBypqTFAaC56VjgUvIICwQPkdsI0dkIW+m6n0gaCQA5EASeZNXvA7kNDDQmDHAwGXqDmld6dR2VE4ZyEZe0MDlALkf7ExX1llntQOL1gJ5DcwIcEUzYg5Jip9ZJKGQB5TtR3n2PpkkyOZmgCz5nGFY/nDC91RmJhrYhi4ZkNVf/4NuZRAItknRmHXHAg89AGw8RnsuHpU9GKf9PMZByikuAsjs8uWatxKfYwDS1mmLaV0KIHQ2L8Yw9wiQkVSTR+mRmTtQ/SnXuU2tRE1e5fMKKXIRsEpK1WcCmrLJQP3+RKrzBhTpJbE1AymL8ugFn77i8RbH/ATrBduBBRuJWIgXiVAGC9eTZz6hTHFd4pkrdW917GP6fRYcWwPw1Kvu1RWlRO2rr0HPwJDE/M9lClBpb8tmxM9TYX5qx5CBDFD5ZCcXIdHhG/BuSddPWf6RNcPpfC1Cquc3lMOKPILoNTiof6Ae/fWduGXjE9jUUoI7Z1yO6yafx2qGbS4l8UfzSMAVBfG743Hg+Y8RDPpRf2s/baqcl5fxkBMZ18bAMsqIwV1hSi70hMuZmsb2wpqYAUzdG0JlKkQEbYj9iYAQxLj3xqJ05yloaX6NHWLR/rZh75GAYKRrnqPKYc/fRCHX/eNYmJgvXyraD4zl2nY6bYhfoKxx9VSaYOzJRerQHdprltH1ogHydI1KykDSrDx2TMBAPcF5JbjjSHbPfrOkUEWlZ62DoM88JUwdaKo2N9ew+X1Y87Qr2/ldZPKIZFwKT7MPjgWc8dKdJgGg9EK43G+8dQUpQhk0Jn/UnwB06gC4fNrmHhBE7pTcuf0WhniXxyzGya5PTxL7MNQngQ3jhoCJ+widLQLo4jZGNbcAQEaBCG3LUgDZZ86huS3TCqtY4AZbJJpNfsx/OHFYDxqAtrIBIIMhmQOMqpH/Rj9w2dvs9YYFQHsGGn2sG1gQnEI8VoUP0VMA8rVHDwEz9pCidcRhqKFZ+TkAXPsSpSNi1cRR0omNAZb+CRiVKarqQlaXLsnQd/Fs92/MJecjdpCe+XE/AEtWA/GDEJLchMUYy0WwMtuUWI2AgSoSJkte7IR9dFmPa7khgmEi4wcWebBvghvGmKgQR4BB4Lxxo5+qPgAap+Qe1iFPRyYveQWWaDb/6nY9ib3fXaQ98B83AgFBGwl0K/eGqCWNzABM7FP2T7D4QwZsUD08/yU5rMgjiLNHxbntM8Hld+PmjU9gZ2cFHpx1Hc4rVBFniKoVW5cP3PsoxK+PhaOmDbudiRBMQSBogDmXLYbsv0Rj5H0JEAQBra9qGcX0ZORzytf+USXwDKlKm3imL4+VAev6kmGLI2/SYefCYDwYTb6l6EFEReXQvcWqFs9RmygsxXMoy7WuAHmKfI9rrwX21lJgKhe6+m4xGmufR2LHNaG3YqckAkduY8/TzIyqofZ6pB8/DlNeOh+Ftx9H4dayycocsJxbdkaTh+I3AhCUG3R/EuVwObBT/OR04P0LYVq8B1PeXYyJiyRrW6eP+kD9HjRVDtOaUkeMt/wL5afoEKS06nBiq6U3WVtNADAvOSL/u/QsI5WnyfMltYsUCa9MPBYloQwARLvQ8MZ69nr9QlIqQYM2/SKC8v78OUVBFzSUuVCaQ3p5fdkAc1uBymINfeYhC6+4W0co8Rjq8Q6Y6LpXXgB8dwIwpZSAhv8XCUppk/dVFKMbFwCdqdSZy+ohT7egBpi1XWrVKz1XHrwoiCwH7orRkiUNKY1nd7kB/c1b2BuOOGbgmP2h9IC7kTOy5LTDJBXlrrxGTQECRI5spj7dKgyAbVoAzprIWI+Aw0XzJ7MNQSfn3Z7zMcuPHyykqhs9ZkduzhYf87z2cz157lbl68w2ZV8BAO7JK5hRbPYrcRQAcOcTwMP3If4qHaKn/4IcVuQRxGRV5md8Yixu3vgkSroq8dDs67Akn1m9seNpw5n0+B8w4hSuw88PKkXflQbHPgcQMMFnISs39WpA4Jk1PcPXARf+oxCWMdIGeMOLlJ9eslp7YNBAdIaAxsrcvWMu/aGX07M5gfkE5nCVe+F+drG2q1GMA1lHnDQsVSoABtYye8mad6i84Z54GMxsY3J4tgBWD0weifGJ+w1Haw0EQYApxgpDioshYtXhsMm7afF1pbOwmfpa/WZSjEEBUaPiYLTEAALgX/o4TPEWWGMyMWLcHxCbqUN5KdtsfN5Pr0GFSrr+CX1wW0v28Hk/vWfdnE0GCUDRoHB9lg9FZK9DFAiMyOMaelJJ4cm5+hFhDE4B+rnb7lSgfjSF1P1GuteUnpB3FzPPgIJbT0DRn89m39GJhIQiP3KOk+P2D0mUi7AXagIPXvhQ7YaFNE9MPuJu11sTPjOlEGaF6d0eCcn/4AN0bh60KApawx8gTvu/3U9GlTFIY/r2pUBrphSxkUsT1YYSp9jVkZ0HH1a87HrVj6bNYZrcAMzg5yMcc7dQGJ03zGUiIFnMfgZgrCymfUQSl7cSrW9ydeGpXVpg4IpLiOJ59zRgv7TmggLw7C1ATT6Vz9WNJg/aIRknj9zLvt+dBnSnIeD2w2jS4ayYESZ3L4sIbVkZEL6iY7ZkDBmDQGE1XIPNkc//G8lhRR5BQkxuIuAtK8Ad/9yE3V2VeHjW9Tg57yhEFQuw5pkw6Z+no+j+RZix8gJYEmORfFwGcMZn+id99laI5VJedd9kZK3eiu6oF7HrphcR8Ejdr4ZIkZuS9BXk+BXFiJ+VgLYftxCYJb0LuPxNmkzxAxg5/o+YcdI3SM6WOg6pLWhZHpby4Xr7j8nPwqqyqGu0c+uQmnEqtfYbTuR2nV4LgKDWovWZ0dootQ/NaqVr6k6D3yF5RqocY8+BEuy65F0ceIsjjld5UXFRKta5oEBegp6ybM+Ce78fRoEZA22+x7DLGQNP7joUzXsEGLufgWDcVvI6AMolyxKpbSQvA0na90QDM0bU+W5ZeFDe6CaqIiiZoehlTecSSVnKSpMvFwynb5w2hu522/RpLndPV3CG64oMrpNFvhcZZ+CzUAmYMybErgYAQ5NeQrXzLFjzuN/V49gHaCzl6INeOD2jk5gL1aBHXqLcSsW6exqErD4YkkV9Re6MBtoygHcu0Vfae6Zq3pq0PwpTmmwYddMkeiSOOObZigb9Puyygh7k8Ch1o4FKKerlMyvH0+iPTFcaTnZKXqd8L7n1v+77Wa2kxHnMgfo65Pk0tYQZALGDxA+R3QoUHVAe35dM0T0eLZ5XRydW7zNy74EciXjn6ldCH+2ZQMZs7lRltzocswGx929GWDlQpGzCktLNqKxlSe5hzHAqHndLVAp+DzmsyCOIo64F+HkuAt2JuO/Tz7G5fDvuP/JaLM6bB3O6Be6OLnjdHbAkKy2/2sA5ih7iYSWvDm3fsW5CrlbyPmTiEn+fPnAiuogWh6uxl3nZcu2r3wS/lFbsbVlHilOPkxwA9uiUkMkkJQZRyaIEEAqdZ6HzRsGPQyiLApgibstmFjzPv92TAscKyfvW6+Sl6qVe/+x24jtfyXGiBwVgQimFJjvSMbQR1Lt8UKott8eTZz4vzEKWNqQ4AxFAtPoeoUsLrEBjz0PAmDpWztObQgQfAOA1kUfs1clvz9eWqITEHkfXJdf+AwwINm0X8OZSrcfCSyBI1QGyNGcTGUxfIuW7ZYWg9tzOXwnc+pS2cctQLFMQPclsgxeChGaXf8sVTaCrcKIuIZTrtvW8dLcEaOKMxNK62RDFAEYUXhJeQQWMwG5JEYUDywHa7yf3ABCBU76iUC2Pmdg7FVOLt2BS7jqar1mt1LFrRAuNk9lLEQVnDKL3XxQK8RsgGVcnKulczdkCLDkGmJIFpFkvZR8M0wVMV0JjqfNZpDmiFp5QaeVFhHGRDSx1OiEiSYxIwLiudKUx0peoXAeztjLAoixjasnActoij50sMr5Cj0xKBDEM1o4hdkFZJJZBi02bmnEMbQOufZnod0XQnDd5ibZajZ+weiUDTDJIzF7KzVu9yDxOC9yLSztEQ/4/LIcVeQRpfbETotOGJ9/Yi3VN23Dz1ItxSv4CACJ8fQ7AEQsxwMLggz1lsHeXIN5worbeUW612MOFaE7lQuEiUOVdAt8AQ80W/YsBhKLHK3NcPJd0Yv50tmFVFqN917cYbDuAzDEXkoWrzkHe9pT2ZuUQpNfCNgY9T2fvNFbKZQyg0s427cxTlZ7alLdOAy5+FzjrY2VeVjRoNwm+P/ZA4vAh5mqp0UEz12mtbjTwssSid2Acgm6pTnswnjZ+GbAl03KqJGMphZHNgjY83tX+IbumeSrAX08qhTI7MhA6aMI+4JfZFAoMJ0EjzYsUnT7xJ/4AbJujMWBCIo8BVxuMkhnAx+dRCFsWp40hc2Wx+oi05QRO8cQNUDha9sJdMZSPB2ijFw1K5H5jHoYfJEnSOygc79UB3slzjN/8AwLc3jpkFUhG2pGSUSx3owoYCKHOn6NPMlajhxjRkCw5XKphcinxqY9sIQ9bFekxGMwwGRMxY9Y2jMIr5JnbnMRYVso8bufGuFBKZ5JtP5KCF2huLem0MMC7Q8FC/BoJmEIAMa2oxmjmDuXrKA+wUWIu2z9eiQTXixbIYvIT0lstfjPDa7itxOlw9Ebag/xGhrFwRpPhGK6rmAjCPszYycLaevNHBLD8Kvp/vxJQWX/w74hJLtI/f4yTymplp8IVEzmqITfPiRlCyimpmP7kLcg+SQmQEwSTptHVf0sOK/JIYvbgrcov8HH1Wlw67lRcPG6J9L6PBl0qi/HZSVFWbb8LB3fcCxM4K7A5G9g0n9DbgNI75uuCDxRBvOEJlN72fuit2CmxKHi2AJO/nYLx7zBFF/T70bSLIWj7v3axjUySqi+eg9MnhdS/W6yso47mLG9Rug5jkF64o1hYcTBMA4BRjcD4CvoOt3hGnKm0Rve6sknplU7VLpKAiRa9/Fx4VjW9vKj6+zoELZqNp3IcUz58Hk+ntAQAOr4sR8DlRW9AVTrjiFEqf5HbHO1xLEe7bxJdaPQQhRET7bTCjl2r+3t0H36gXyf/5rGE15OpnYxGVC/H2sghvOvziWVMBkaNqqf/vVZ6pnIO0xDURhTkML48Nt2qTZdH/duGgLk/k2fdnkGNWDwWGqcDYykk79TpyCWLO4oBlfZNRsVqIuuYePSbwLTd1BNAzslvng+Uq8L7jlhCZqd10yY9nyMjkj3lpF4alyIJgZ3bQK85HoPOzbRm2j6sQuMDncBXp2rK7UIyEA8EBRiRiIQvtaDHxNOVitw8Rlp3valaT9TqjpzPl0VvvI1SyZvVrT2vSeWtB4xKD76PC9/P26zMf/Oy5Cvl6+H0VVCg/UMuV3XbSCEPxtN64jn40zuUvQP8RsJm2BOAQW6t6nE99KTRPtKfoBmnnieTsefADCC/FrbYImDD0UTZC9C+/MQdij1jXNH7iu8rDELJ4IyfmIe8hZeGet6Pnnsr4kdMxrQlH2PakmF46H9DOazIw4gYDGBDfRleKv0QJ46aixuncCFcfhIHjSi98UPFdx0BqbZ0fBnRMHqsNDGzmwG/9MgNASVFoxx6kghEsm8gMFTC/ESYU2iDzb4+GzmPxKJy5TPoWssVQvsslJtVbfx2OxdCNvuBDUcB26SyrIR+Cq2+ezFw/ofMa/OZpRK1BFp4FrcCsBK6f/kZ/OuPobddnQwxnXXGZLK+e7lQvGxM8B6intVvEFXoeB5gN0jXpkZP60lXOt2P06bMOfMhRJMPFlnvdafBUdelVaDq3Ny7S9nfn5/JKF5lUTVVwYMPUUgzv0bLFR80UNtSXsZUAW9dzhSfIQAk9rKNPt4OHLuO/tbLY+tteFVFxP0tN4PJaqPxT+ol5W5zaQE9ZlU0QB3arOCuO26Qjq8uZFGSsskU9qyR6ER1S+skqRsT6lQniyiK8Bu6WB4y1kFlPjJHPB/VcUYDlRzPN28YmgLEbDZNAiXG2mkujq8Azv0AyGEphqbXS+Dtc6DtA2l9bTwaqM9j5woKVCPusQAt2ch1fghBEGDkbJz4mytRvD0KcUcpFblvnnKfUIjNrUyxyBLjUHrJetTIfFTByB0rOxy8DMUASzjGx2X3sL/l7oZ69dkpOlgDHkegIoaJmi6lLAI6UQmXyqAzBZR4HB6LI4e6IwV/XFHABzpth78+hQyVuny4Tn2Qxk3Ovf88TxNx3D9LNd/VRlBPMqIzsuBp9qFzBRkeSalHIy/vAQgwQTAcAuj3N5LDijyMbFr3Cu7b8k+MT87HfUf+EYIgIGl2DgSbPqJ8oInVWfb3rqeF/vhfaNJ6LUD5BEKWyyEaQdSUOAAIbaYBp/Z3Mi/LQtPsOXC36AN4xhQ9q3xDPflTe4FYKQRn8dKG++UZ9HoohjZ5TxTV48oNMUY1U148ZpAWmFzKJdOBclL5r5cx4ZWFwPM3wbRgP3lwcg5fCJKCGYzVUrUqbkJCEvN5RFnxZrZRG8YvT9dyN4cTtw2AAFRxYTdjgNWBFh6EN5YBqqqXtlFHJUniHGfS5hlqYqLzG+q8WtAIHMGFMOMHKIQZNAGZqvIwOW+czaFdG3PJG+mUCCiiPIA3isiGRADfLw71pcaGo4d7ApwIxHpnCNAz9RsoVbJrJnlOaqNAnZLR8wZl+eYU4Ok7tM8nnPJ2RZHi5suiAoIij1619T5Uv/ADzTlXFOWnZSpeVzSNrfx7ARPdmwhm8CT2MaCS1cNqn00EtszLfQTx4mnKDnr9SRCDAWXrWt5Q27SAjIStc4CBRDTs/AcGSjpR+zzDQtj3tQDxtM78LjcGKqSSpGhVDhog7zixH7j9SQp7R7kAM3c9HovSy1YrQYAZOnJkge8wx3831k44kI1cdIk3pOXhtXiUpW3yueQoh3xOfj6oCW/q82ncWkbSuB5KGkYeNz7aslNyPNT4ilSOuEZtgMppBlc0cMJa6pIGEKalcSTwwyIlmE4WHzf/E/uUtfIA4IhFwOnDwaWtaHqoG4HBAAZ3uFA6px6VZ6rwJv9l+f1MiP9hsdvtuPTSh2AzReHJ+bciykQeZPbVY9F3nT5QpfreLcC5Eup4shTSDkjtOZ3RFA7cNJ82ZIBZsz6TFsENSH2Dw/ShTummvGyn1EM6gya1u1MFPOtOJaIUPelStdusz9VvgdiYwxoJ8HLzs0oFFmsH+hNQPrcLqK9H09tLgeZFzAOUlYIcrh+yATE6G5sAClfvmUJECwETLagx1bThycQp4ShVD0U8VmDROiqP0ZPKYqTXvICkcRPR8ONaAB10HUY/UcoeivChf74EsT+RIhzyhuwzA3ApQ5odmZTD3X6k8pzlE8lIyGgHvl1MOWN7mPQHoM2NAzTvYu1kJHzAEWQ05rG/ZSNnMJ4MPtn4y60HGiQF57TRmDpilLlLvRp3PZHLAbvTgBgphx2QSId8JsBvguOpqdRA5sBtxDvgNWs7z6V1At3cXHbEMiT0hHKKFAQFmkNiQIHVMCEN9i+qASjn/b4rNih/45d51LVOT6rGovrVrUCpBByVAIQVN/yEGV+chr33Uke2hGKV4pCVoKxIo9x0bVf/i9gRB2PJUJHvjQ89A6S0rW5mKBdWUf326lOVXnjcII252yZVCUjXYfIpjawYB6WikvooegMAc7aQUj9iJ413fh0MVTMQ7JWof+W1PHkPGVFCMBRZdB/0Aj0Z7Frbw3Sb40XNxhjL5f3VfAKRctFxg3Sv6uY4ABmcE8toHTbnUD8BdXUOQEZX6H5EAALQn4SuxwBAqi5yBFF/JxnmrspD4MX/DeWwR64j119/PZo6uvH4vD8jIzolZEzuW8+FVOU80xenEXK6chxw1mekrAFSVL0pUn9pM9UX6+Wch2KY9eu2hkLv7Rs3oGzFX9FTtQ11Bx/Eri1z4fVIVuhIyXv76jRauNL1tGyQ6FjlkGhrNvscoA1yMJZCiqL0WjY6/36vvsf18bna9wCttfr+xdRJrF7aKD4+G/jrMuCZ24HXr6LaTD4H+NNC9jefi/riNODTs4B1x5EXJVvXgkjXVzFe35r+NeK16CxekZ6F1NKx86saHGi4GO5urs+730SeQVdqZERv9BA92+ZsYPtMyrPywteC1+ezfLgc5ZA3Z/VGJIcCD4wjCtzvFmu4AUJy7Fr98ezIpLziG1eGvwc+pMj3IucZC7vSiW1t/3hCDB+qWDzI/UuY8RtMoGu+6UXqGCa3j5SNDL32sTZV1KB8AjOK+pKBgQTYBMnDk3ukS8JDHUyjh+kjbY8jZakWeUxk3AVXw89ze4e8crnESz02Rj8KzvoTrU1Am8ZwxGq7xxmDLJQ+qoneO42jZL7hRbpQnd9vAAAgAElEQVRf3fkkKsff5KcxrVKBw258nrolfrsYGFuFkWfPpfnLt4EVghThufMJpcEhAzULasLiUgCwlFsi9117gpKzQH7OhgDbL3SignTMMDwcQQNL/4QzMOLslGrIq9Vt3AQAgcEgvM2/DyWrWg4rcpW8++67WLFiBa5bfBKmpo2jiVM2GSidpNyAbS4qWZA9ELmUa+cRFAbkF81gHHkWLRxxhbyGhqIpTOyKIrCUrAiriuDts6P+gVr0rm8BWjOx72/vApvn6ufJ+BCZ3AGNz0l7JTSpJ4oQ9R4r5db5DeXAOPLMZXmTM1zU0sABqvSaefC9qgMm8hx5Hu7+JGZEJA6QxV86iYBZvSnUwas5mz0nQxB452LyVvREDrV9fTIS/vUVMH2H/nEAbVgiGAoaACAQjqE7jUpXts0Cvj9euSm8vZSwCK3ZBHBz2vQjhgXVwPkfkHf1wMPkrcgS1GEy2z+ezhsOoc7LIQLFsX8ca8ah7tL0yzyaC+Eabqj1u9dMTGNqLMCvEUOA/pn8SD1V1fVLvqeqQu3c3juFfr+Cy3/zOdSBBIp4yXOwL5mM5ro8+s5AIlzN+htxtI2lZ/xCu+4xIdk9HWnFOv0DXNI6T++UFBob296t9drj5bJUdSg6yovqNc9IRr2oDPcDtIbUVSThjLi7HwXO+4Bazt7zqH45pyuGsdUB+uC1girgsb/SMW1ZwL4JaOl4QRvNi3fQ3BUA3KLTj/vnefpYDlnkToV6CtihirxFO9m16jWeisC/HhKehdIRR/OS38PSO1gqZihG2dSJE3+fcgyD3kNdnP95OazIJemr24nyHT/iT3/6ExYsWIBLZ8ygUjGbHN4RKLcSAqsF9ZmtyiaRsuQVq16IRxa5FpkHPMnzYc8U8kLufBL49GyIAxZC//ITEQDeuJw6PskWtlwLPhRLm15PKiu9kr1/eVPgLf9d05WEJnxeWS2fnAN8eyKF99WgKD358nTgIy437o5ieV6APEyZsUuWz86me8qppzacH16oVIqy5NcCxfsxuc2IGXN/wegzzgXG61Cg8uKIJZKarFZ9hbxzJpWOyYCz3kRliVxfMm1ochWCXUWKURamntRjJS9KD6HMK6igoNxcfCaK2PDgoeaR5JXwQCM5J9w0ip45QCU8I5qV5+KpPoHQ/RvSh4C0DuXm1TaCNn69zZjPpYqgWnM9diyrh5ScnsKQ5+DP8/W7wFWNpfkmP2OeP16qF1Y8l+9PoFz2zpnAjwuBn+Yrz9eeAeydAu+gKlw9DGq8y/uy8o2AgZXoNY2iMCxHqtKwfKv2JFP2AncvI+BeQj/9m82VM3anARCoWU04UYNP1f0PFm7AxJdOpmed1qXkshehn3LRk62z6X+vhYyGf9yEwKs65E/uKLqflG4go4t6oLuimONTUxi5lE1OLXp19smhWGW5Hq+81VFBgCpefm0FWG4dq26JH2CNb/oTKJV0UL+EreoPyv1/94Qa+HoON035XaVm3cu49qrLIIoi7ghcA+PWBbQwZcQtAPx4PHnnbRnAukUEZlOLL4LlKQsPQNFpGAGnjTbyT7k2oN8sISaxVRI6k99Ae1KJzlDuEMWzDfHWswgtMIQnauAjBociXiuBfobjnA5nqKoNEl6CAimFV/9I6YGHHtAek9pF3m+UC9h5BOxbCSPgd/moA1Yk69xrkfpm28lDVbdYBWiD+kCKADx6n3YzclthNCaRguHD/Wpkuixp7QwbYQySAaIQgRlFtWPYOaNcxIDmtilxCaKBlLEhSAxoxRVMKR4Yx8LisUPALRwx/5qTga+XUDpIFskTti5qBGDQMFaFFd4Q7E6ljbcxF7DHIXaKdK2pXaFNd+S1hQj6/EplJM8Pn4mqKNQiP/fGUUTwoyd8vrc3hXKqAQMZvny/cSAUFj7wONcjXgDlhzvTNKWcIflIlWbafBSh9Hkx+0N5crFHB8dh8tFzSuqj37zuZWDxt5QTFsGQ+3pKTRZ1qFcFootPPgJWmxT1iPKQ8SCLz6zEwohCWI8z1AktEsjx0rdJCcYMQYjzojD3DTKS+5L1gY48k97kPcAR2/UVcjgxiMQr8NZSTC3LUYbyM9uYUZCgAgQbAlqcgSxuG0UCAZrPskEXruwQoP3JFa0p2Wx5vCfMF35bOazIJflhRx02lzbhkUceQZaNC/2pSQgCJsqvdEXocBWREQnKENL/Y++9o+Oqrrbx507VaNSrJdmW5G65F3oxxqYm9N6SEAKE8AZSSAjppHwhbxKSQBJCAgRS6J0QCDamGjC4915kFavX0fS53x/7HJ1yzx2J7xdgrZ+z1/LyaObOnVvO3fXZzx7Mc24fyTOnMXnEaoO4iLlwY3zHt4Ff3ELRyftH0HxpWb56J3mZLVVqFC2nJk1iSs3J8qih9UMWfQQoZ1M68XVid8szKJJYDobT3W8sdlKahgcpJQ8MG6z9V/jR+PKLaPr3S1CmyzVsplRlThS4iLUArTjZSSKR9KnXgUd5bnomFkJ6X4FqxC98HDjyfed3woNE5crv/fQtIqXIxbKNw1lQ3GMmwwCotCO3AZnqeaEobSNPoct4aR3zrzKlFX1ESmHrkR9AztEpEpGMPAVKBrrtr8fY7xbT2uFZjfEH0HP6tUhGonRtuaM1mE9o9B3T1YlpQe1aZDzA3knOY+Jy+r/Uv+UWtO5iSrn/6uvkEJvuqQWKiGWn7kQJ5CYPAzKIp66bOlNk0X/nrROJUa2XreeiPgL+dZaRgeWDRkzrgEtVq/r3F38PXH8PAUIDcVSPu079/MY/iNe6ceJgUpPwMoeJrpbLpN30fIeiqKv+CULBKdlnL5R2Edisfi8B1njg40nTM8INcNiwjvlaOzgO+OAIePJA2aa6fZQd5ecxayMwRcIz5PdTpC47JPIpyY6eJ2MMTKa/MI6wL6WdtG75tUkxCuRoEGiuRs7YLODTj1D+a8gBHNqzFnc+tgrTa8tw+elH0E3uK2DgJ4MC7Swzc2UDjGBlhGaA4fVkk+J460TVmPcXigdd3zdA9SoO+NCmGqG7FDjyA+CZ84Ffa1N9Vp5A0dgjlznHW7oZCoDqeSkvkB5lSs4h2gMUzaWH/c2TCM3/ox86vyIbBZMekXu1Jceo4+11iO3JkKHw2MAt/0sIdR+b283Pc9Ns6uPn+7HZcWa8ot0sFqJ09mh61rksP5VGI+7VygSRPKCmWaDVm8cKJC4H9NkWvPkMESyvBxmwZJJIngAvmgyAj/UTy7OmAVqnvAuAy+V/p1YowFyztD10745iwyIqDKx0TLb//iFBccn2F7lnNrZ+7RXK5ixcTeuqv0B0N8iip/JNjICydJW4f/b82SJV/Ox5qlJ//iyqp8sOa2cpqq6caEzTlp9dp77Brl9mfwmBp2SsQ9pLhiYeoGN/TeP/jweo35kD+bizMEmbvS3Ld3+sDgoZyqf1feaLwNd/iXB+A/oG3hBskiMJB1qWaNGk0llhkAuepBJKLAe5xRNRXPAp+LxFQP0+8/YAgUy9GaBAM9T5A+So3XQ3GeV7vuT8LgdhWgBe/BTaDz1BkX9hvwp889gq4j1/kPWqs/cyFhlgvpbkEb08QzqmVSm1DDTuoWP32OSMyDo+EWQ6zQ+raISg5yOS/xpyALd//Vp09g3hlsuORmRzO9U999eTwTYpM9nIjgZcAQiUO0+rH/0OFC2hR60maa2mnszVC4EVS4VRdBPTxJ6E30FlCICUpJWh4zRFYvEcIMYe6DNeHPlY3WTYk/WRE/Lmicha1ArEzaCs6hZzTfMvn0f0bzMEo1Q8IFjQADKmXN49Bnj2XJWvnAt/UDvLgPu/kPWUhkVO3emjKcMDTrT9UB6hnMewVDw37AMFjNUqDxjvohR1fu2hsFAoujxxCTB3jVBkusiR6/V/Ji5swD0q3DFNYBV6iqnGCBBpjSwPfU7925MBfv01ZP7NBrwEY7TubI+ZDtgUCfL7ctIK52c625ssXWUqBoNHjY3jAFiUIu+TUs7tlQjPNSOtC+dr64Vnbpa8QqlZOcK1LWDmRuDxS4xDVZTo/xUJTFfRDlz9AL1eLJ3rZf8g4hsdBW5liNUuFENb94PYffBLZOByskT2XKbsIErhkh4qC/C11VlGOsaUIp+7Dpi8m9osoyEUlM+DZVmwLA8KYueO/Ju6DObR2uXPWu6gc41bkKiJg+h8a4tYN3omyp8kB1lO5ae5k86R8Aa9wkGIaa/SZdT0LQmgaoGcN3l5svvRtdJlyM9HLIe9IW9vb8dfX96ExfPrMGdSJXp2rBHGpr+A0oKmYRhcbA/xVGcsJ4CIEzP4kvRw+5OiXaRUHzZiAUevHPmAOypE3dsNdZxNHrvUveZlW2blKb911DvAKcsJwf2T76jbnfEvonK86HFzPUpWCraHsgI6mYqueGzL6JBMfbKGPG3AeR26SzHsHPgyavT+4NXidUcFbecW6UVzyACMtt1N34USVdvAqqPN2/LtYiGkt0iKPe0Dnr4IaK5y/paJotYknAL31l8C89aO7jvyMVa2IjRbWgA88uHrZFsDOR25EacToXOe607xwXFwF9u9jcgGZZ104SC+kUquxd3CaMuDg1aq3NnwM+WttTk1LdO6ANrZ8xiKUURX2COm5B2oA+65kV7rDH5yiQKgLBFAKWQLwMwtFHmf+gqNy6zfS2WmP36JRt5+6gXgD4zLv591IaS9aDr0C7HPki66Lj+/Rf0tOfp+5zhRhqpoB+r3MyS31z1N3l0Mb9s0ynBlvPCGhY7MtOWbv3NMFv2mZzHvuw44bqXAm3B9IvFHxH4jtSMW9VIGglMQezOU1ZDbEzmew22YEO8XDw86WAZlKT5qAukYeYAUcwCC544Asv2I5LA25IlIL/7PD76NWCKFG08+GXh9EbDsFOElD+YTMKaviKKllFeAzHidN+2hlgjOHS5HFpb0T5ceQ+r8QL36d3G3gdKT7T/tcZ+Rq8tPNFAe58zOjWj1b3agsgL1J9SHee1CkX7yaop20evAzK3U/tawxRnZ6ym6gTyVvztvQI2YAa0EIDT0Lps9xPn9TmdAFguGrgGDpjdNiNP3y7MvMm99NomG6BoX9qrgMZ0PW29F0mWNVMMra6fasQySLNZSotzw+BPqNQ8kgRt/ByxZNrrjBwALSGQ6UXgO4yTnKVF5Ta+fRwbd0feuqRc9E7Q7CzufL8tozpQfRUfViTnwPHLrKyanLVuWCqDnprfY6bxpxiTSynrC568Fbv3Z8Puxxi7RHpbwUfsgQMrdY9P41GppHcvdDnJbWWm3cDxkEJ+c8QsPkdN2xGpCoHN56kLgtSXq82FqUcuNEYnRb6QyW1UL1YGHI14LaGFAV+4gejJ0/9z6v1tqkH7mJBr7CaC16x407iUHYvBpKVVd2Ct+p1qr7csyUSslWKDnoqKdzpsPoXLLMPhStP/Fr6v74FLSlb3Wb4OChv+5ixwpfa4Af44SfvT8nuldeb1404RPWKhxRnxMclgb8nfvvxn3/eXvWBI6E3UbLyJlvi0LkrqnhNDDgJSe8ZqjOb8LkjsYI2/dxExmgcAURT1UownFyFiaotvRGnHAmXbiCzrjIWYjWQp7genbxd8pnzoXubdYVUyf+qf6GUDKbMM89UF66lxnik5X/ME4G36xX7wnOxqlXQRaufp+ZLw9RGta0zRy+5svCXzhz+JvnjKWa8MZLSIwPfMF/eT5y4QpvL5tSvNzIEzGo6K79Wg6NUrsQSBO6yEUpzpsYS8dj60p7+IeOp5cNm6VO5/76yiS22hI8bpJ2od0ewZ9H7SpdUdg5LKSbsh1spFsMgJetLfjVeCc56g0wdtAvSlDlOUiKa+YoGeSQBytK5nDY1vAo5eLtWjZBFysbladrO4SApM2jVWVfLsMnmXr4LynWbteGWX+9ClgkVzM++IvMe+GO+lajGlRJ/1x4a1kbqNMv/YrQu4DdPw82gfUWeB8FgEnm7Jsej46yqkEtXuiusb5M/AIsQNmfN3oaHsGkQEJ7Hf8m0S1XNJDxtiCOokOoCzR6S/R2tLPwZdylhxzDWU/QJQzCvuJhW/RG8CZ/6TfLe+ge6j3pHPhNfOUD5i2Azj/aec62jGNSpptFc7vArR/bwr+0CiZDf/Dclgb8udePYBIPI6r4t8l7zYboIgLH+Yhe75thtRnaZf54RrHGJjSHnWQBwDsmkwPd25UrbPlDo2+Fs9F/u0Nc4FznhF/c0MejhAF5BipH3IoTIsz6aPjM0W7fOzhrA3A8SsJfHPzb8Tilx0b3tccHWGBB+IUTQ0UiN5cgA20YMdrgRTwY5cBjTWkTN87lj4zIesr2sT5BuJq+cPtet7E2rRM1KeW9j9ARlk37rJ0VJICllv7XEdOjiCFvcL5Gcx3N3Yem5Qn/7xpLKUK1ywQKcO8AcoMyGnjZUth9GBsj9mxcTOaZz8n7mfKS2xldRq1sWl/4w7QB7JjFoyanaRr/gLccwO95utZNp58/4W9zowFQCRN7RXO9wHKgiWClEGwgfKpjKK4poUcB35ddWrluv3kzEZzgSnMGU4Zav8ARXDvHUO1eYdTb6M4dRU8/gASsXbKhLhFxk9fQLX1lM85Mc+fENkCCwRMlFvV5OvM1tW4S1jPvSdD15O313VUECCxnUXbenmOrf/mNUzPeNJEcNU0Xt0uJ0H4oKXL6d/i16htEqBSgizRHCfKvna/GcMDqPMNpm5X2+6aa8yZmqRfWjcWcPVfBLcHF/ma6rq+qwyoOUjXLxqGN5ylbfAjlMPWkKdTCTz73ibMLmxAg4cNLzlo4DbPWOoD4ks6lZCp5uwB40vXJOkHOkpJuZtqgAdr1bQcwDxyKS2V9qiG2pckZSe3AhX0AzM3UEtOMqg+EMODTNjfsiKpaSIUfSKogqB0aamiNLgNSv/xYSBpj8haACJV/gcDClUWf1wYBvl4LFYr5U4PT3Fdez/w5gmsxBEwA3JOYRFVMgD89qtq+cMNC7DkNfbaxUrqRiUUpVS7HCm49eVyMU2EMonuCJqYrLgUd4vUq14n5pFxe6WI6kIxSu1y2tF/nwpM3gXsmkQIbg604mJbYr/l7e7kKWUd1FKVN0jr7EAtARrXaq1bclbCypDiDyaBiXtoTO64A/R+MEGOSWjImXnJxjNf1UqtSf4k4SR02V/rjjHh9/KNk4CmGsRbXByvtIcxu7GLXSM5xMtOJ93xwZHGrw6/ry9DTxrwp9Dzd4rct7x5LUXtD37evJ+Nc6hDpaeYyHEaa9XxstlEbvVjx1EyaxYddySXOndkR2/NQtFvra/hieSoDfyGZXtsi54707FEc8lZqmhDZc1VqkM6Z4MwwHLZIG+AgoJxzcO/pUvdGVeK6xnJVfWrztXuJoN5dD1l6Rzhu1Jm47/zyD9meea3X8O+9m6chc+KN3VQU28RAXl4u1R/PikPHQCSDXQmK+PQED1wfaw+F0g4qRgB6nO1UkQBCwhjxaWnRI0+SrtI4cmDN3wp4FANTQ/aPpXNynYR+XxGsw4zFtXorr2f0k38PQB4/SQirwGoZs6BZsslRK5eIwbU9LJssPZOZNkP9oRyY5/2Uq897/1OecmRkWto+YP0NZMyyXiFsebHEwkD/+CDRLQLEYjTMXAHoKydnB5+3WWlMdI15NkcZUa8ZCyu/Bvw2b+o71kZwGu7R/OLXyMHMBakNSu3E/Jj5rgO/q+sHfjuTzEl+j7KWn5E1/OWO4Hb7gAWrGHHagnGuZSf/rXU0Jq3IbIcXI5lLGO9RXRfYjkU+XIGNv4dOTrypQXegmNKusrJ2SjsIwfla7+gEpG8dgYK6L77peeEH0vjeAKJ8XtRvxs4UmJaO1grlYJ0ulQpU7ZxDvrvGytY5WQWtScvZPfScMNbqtwpbeX0sp7uZeuo4nP5aNn1D3rvARcjLss/P00jYwHqRb/vGuCWX478PY4z6CsEIrnwFfjp2vWU0vUxZeQGc+mar14ohjJZIL21g7E1DmdrLPV3AMr6pXxA1SGMrb0B4ydpbbIArZFWKfrNHxBc7DlskAuX8CBQ1oH9979GTk/SB7x/NCp9MsBPv0cu9XI9K3uUgZ1PF9MI1Y9ZDktDbqfTePrhDQh4fVg6TkIS+5MUfQ+G4bjRvYynPOWHc1Fof5tmX+dESenLU49syzz5rGk8tcoM5UlGPIt14EZEVkgLpDQTd1BMBhRQo08ZxavLWEZgInvjjbWULeDOgMzWNm8dcNdNzv1M2klZBDlFJgPnPLYT1JIMqN0DvD0kFmJG2UNpw2KWlbBByuaFs8ztYwm/SFNzsFnKT4xnGene50TpfoaiFGVaIOPyhftF5FbWIXp23a6xLME4fUc+x7JOsW5aqkmR5sQwvA55mcANyX31A9R7y89JVkjc0dQd0NYaYNdkBA4ejc6vsqE/TKbMupteHKqitOqQlpbsLaZ1k2aDZHwJYOkrgqQnnkP3hRt/fklTfidCefEKquVOMgwl4efrTdO9Le1UP99fTxFaKMKyLfxc/YQST3soskwE6ZhNYKncIYHuB1Q0PU+/76une/bBESybYLuDLPfXkuOqc5IPC3ve2svNg5QA9A+sQutuZshHM+nv3WNpaFE8QM700xdQSc0kMuaGl5i2NQAb58C2bQH2dRtBu3eioHLuKiOUfuM44PYfiu/Iz8GlD1PtGgASfljxAmDTbBQc+jyS7Sk0drPul6SPnIOkj0Y8y86eBVHW5DKmldrlpm8XYLjeYpRMpvbGttffNx8/IPRENrnsYUEgpYvpOQ/EETuUneb3o5LD0pDvf2QFVq4/hIXWIuR3aBSLrLHfScgiGeCRpERqLQvFWBqJKXq5tp5tX5yiUfbe9Zo6wJiGAIARFeREyYCZ6FZ1/mueLQhHKNLL1nMaiIsoL8XmQw+yut2mWebxlWe85Kwdh4aAKx+hB2/cQfrbVPPS2aa4URgWLUIHyIu3AJz9DG1759fN3OyAmuGQkd29xUCEK2ibjGn+gOjBTnso8venSDlxEI8HbMIbUzZuk5kq2iiyqGgHYpqiqmyjtcJBZR6b9lnQR7VFwD3lz+lDTRH7cI3b8N07bkOi1aCUts6A35LWUFeZc5thoF8fchos4KVPkXFqNUyUcmtjWrKcUpP+pEiZyil03ia1bzJzogzXNTwkevHl52v9HCol9BaTwe8pcRoDAMiJIe+6XcDcdfCM7VUNNHeIhsJUcnj3GGJ19KecBCpc3jvG/H4gLrJypv5sTtwDILYqC/L+hz8ATnvZ/NmBWuCJiw0f2KIVNiCVNdYtULYa2q+3xRokkqemm189BfjuT9Vt5KxGq1Sy7Cwfpq7t/+op2Hhks3DWeFeD7oBwJ1YnNBrbLEp6khRPkr4/plXMx+ASjFEWaCSQ7AVPu+vokm7ns5Y/gPbX/ttH/rHJ5mUr0ZjZjaN9S1S0aLYJPSbRa6GTdhKC1oLw2CxG+edGxgFkp0CVj8+khIbbmiyKAPIiZGBaDfV+vS7M/7ZA0ax8jJc+Il4f8T7tk3M0d5dQlN9YS5HtalUZDIsnDTylDVmQlV/TOPf2PF30a2SKFg6Op+OerHOYa5LUHs6KNvUzGfzC26D8KYoy4zlsnrgGapmwSy2TeDMqZuHodyiiKxgQUT0gIqIqtm5y4uL4FqyhyEFuNZNb1X71FfH6neOATTOcyo5LFr7snec4a/o7z+lDslmL/vVsJC/lJHIQW8MMj1xaUcQy0wCXdTIymwAB0I5+V225bNhK78mis54l/eZefw70AoTjFgmLcgA/HwvIC84HTl6B/Ju3Ahc+Ju3EFqx5eybTddw9mco1MoEMQK1obpLfL4ZxZLxO8FpOTI0SD9QJR1mX8Y3Auc+YP3vrBOd75z7D5pJDPGsc41ChGsLtv3jU/RyyiSlTzZ9ZBvjzjWe6aigE/PUzzu3dMCB8nfGsXU7aTOHKJBOXdEVNE7B+vroBb6GUunnyrmgWJyGfCy+P6JgQC042TI+Nrh9+yHkV/yE5LA35urfoTh3hNyx6VzGsVH2wRFkXIcCtDC3KYEx4pi4zbQGIKFr/jaRPzQxUtKsp8/AgPSxu0Z8uuiGXjYINNWqSASW8551TT+6eLIwNR932shQhj/JPfAPBn/4NeOU0qit6U3Q9jhlFzYmLbLz1Xms3T3nZUvehFwAdtwKmy0gROJzOXDTXCR7bM9nJWlbe5ZxYJZUgrC88JdLOgECPB+N0DLIS55GJLw3MXa+WHcIRUiqhIaCsW5C8rFkIXPq4c4Icl5FmNI9G9KhaorcNzGRZFZdUMQBnj3NF23D0Gh4zWRg6ntot6CMNxY3PnPVifcmK9ZnzhaE2Za1k6SqjKDuaS61NzOE+dHsAeOEs9P3vZAIF8nqsL0VpZz5qmKfuedTIHbFAnIYcBWOG6WTvOterbqTPfMGZvXrlVOfxT9tGznB1Cw0suUQzvPqAGICY+kq0SJv/lk97ru7TeNqziUwPbWoT4/pmbz2waSbKG5bQ35s1YhwLdF/7NcdI2UbGoMSRzXTte5iBXKM5LtkJJtJzVXlppdAxspP1k+/R/3I5MRijtThGcjhZUDf5n/+vNNb/32QUeeL//8nO1nYEkYN6j0ZQwdNd3pRhkMAIYWMZIy0IJIF+pkyUum8GmLbVZbylRelBnZSkt4hoF7nkxGj/Z75IQBBPRhxWNoS56RTmrKfvHxxPClVH18p80bsnk8HYXycdWzGdc8aiMZNvLgLOe5IUVmkH0FuEeB8zxD3FRJLBr0M2mb+GnJr3j6JzHQakse+5cTqkPWRE3juGej5NkjegAmgA1urnVteW+u1NrSvxADlzBX3knecPsGidgYF8KTombwr2G1K6L79/eAIXvBlg1ia6N8XdlP7NeEkJdZY57+sJ7wEDTGn2Fbq3vekilxI8aTMl6kjSXUwtTBZUemALSPR0ARiBiEURW0m/RrZK7XKy0gwkROSTG3OQXSEAACAASURBVCVGtwSruT/uMpu+ok3t3ebiGN9pqdehl6W8ZWConPnZN4EivLIuQSBiaQDEAlYK4dcmNGReszJvgZUhchxdxbx/JAH2uNx0FzuPHCrhzNhCTh9fcyZZ+gryxtdjsMWQofswUtrJsiaSozaUS3qLTkK8z0sE/NldcTIQyUfrKwAuPGA+1h99n/q3ZSe78hB1HjSNBcYfFO+FIwx07DWPiI55gGgpZYb058eldS13dgCwmb6K5mJBXyE61t2F4bFG/iQFTnkDxI5pgbAQn/0rfT5lF3DCmwhP+qZx/x+1fGIRuWVZp1uWtcOyrN2WZX3r4/ztXaltmOiZDp/lI6XGvXw3Dl7Hg2g76SfdRuRxCSSE8tZ36MbsJVOLcspKrpC9mRF9CwBq3Xs8q7f7kpQq9mao9/Wod53fe1/y7Ov20TXRj7OvkFL/HJH85kn0f8qvtrvJkRxjQNIld54XOTMzbODBoKh9e2zWd+9ViRt04cp+KGwGB3EyFT0y8ifchzxwJeXWlXCoih7uTbOJ3tO26FjDEXJCPDZFTpVauluu6/mloSJyaWPnVLNzNiBFPi+dmZ2tCoDRirhwqNd8zyWVyzM+aT/hGq69V2UmjOUAzdnoVjUp7gZqG9X1yw8zkBAgMZ7F0muZgSS1qtU0wSHxHJo3njIQNZkGswTiKsmHzs6oC8eecCNl2aojePfN1GvMs0lLlzmBggBQoTE2NrJ+67wBkVWYtw7YzMCjN/9meDwqVh5P16v2AGUXzn0O+MyD6v4WvUYOxRuLMeiRuNpNTmvegDuhDCAopnPiGv+Cpf4dYkyRPAjgLYZyxus9CVzMJHfP5bCeu8L53B77NpUK6xrp9+v2UVrcmyGCJV8aVhHhDjw5fky4htgefflBYM1RzmFHeQPOEmdpJ1DShUCVF2N/p16DgV9JzncgSY7k//mOWLd1B4jwZjg7ZKN/6A3H+X0c8okYcsuyvAB+D+AMAA0ALrMsqyH7t/4zkhpIoT11CFWoU9tnSjrUB5g/iJ60Vl+06eZ7MrRNWTt5eXUHCLnrZtAtiIhbBoJM2CMWRmEv/R43vvLx5EbEdnK0oQPU+vPVWuSUndSW5I8TqOiIVcDMzeLzQAz43c3qPmqaBO8zQCQJLTVOx8FtgppuXOQIa+oOY5lh+j8rUf5lnro3UHfaHrV2LYsnbfbMZeGcy1JK1nP3d+kc9kzKDvSTswG6ceD3dDCsOhg6j7YNUkT1e1XbKlPSFo3gDAIqdgEwU/3KYopAXAz5mC/nYl5TGfKPl6LQcY1q7fL9o4Dbb1dR8dnY1I5cBTx3DvD9H458XI7vMtSxBTIOla1kcLhhn7XJ/L20X6wX+Vqbshe9xeJcdJ/HDQyV9JHhzXjJMa10Aq6Q8gO3fx/41s8p7Wxl6Jx5y6EOHrzhHnrGQzHxfLy+GHjoanodSKi/s2mWmjVLakZr0ywR+X7t1+L9jJd0gTctTrhggLAKunAdKK9Lfe3IXObFveq0OwCOiyqPzmUydP3nYf/hs3BIT4m0zmzG626J8wBgv3wisHwpMpE0cscTAC+1uhbYMtVZ5uHXdtZG4CTGF+GxUXIRXbtk2frhTdP9NnoeNzjBk/aI0+oqAU5dBkxl3RZrFmIwtsb5nY9BPqmI/EgAu23b3mvbdgLAowDO+Th+eO9rq9CNdhRnxtAM2WSQjIAyNtMjjG1hrzAg3hRFsv6UqOdN2Asc945ALhf1qiAnLnPXifqrTB4it1pZAD79osqpzKXqkPM9QHiYRT2Uju0pUakcbYvS87M3ESjI9qp1sWWnOffpZef2o+8Bn36BXtfup8/0TIRJ9PS5/EClvMA/rhD7A1D9d4qsDv55s3vq3Pg7aVI2bkBCubbNSS4kyVRKAw68GdWYy1kD7iREc519pnx+dDSsot99abVey1sNfWnjsIXhYxiJ9a2oT3USxhqiUoDSy5N2GSJ2GwjGEDxOvY8V19J5eQIWBt6WsAklParBGK28shTYOAvVf2LgxgVSH/FgHnD9veLvhJ+Q7jaAEsmg6Fz+p76C2ltmji4TxcW2hLOebU522uPMvLiBULdPExmnRBCA7ZyJwMUC4GHUsdFcWmM2nJmhsi7gsw/RGjIdpzetPnstNRhTeS211plAhANZ6s0dlXRc8nNjKnlVtomuDC6hqPps8DZPQLDAcRnfaAawDWSZjQAAJ79KFKu2l+YxAPSs330T8Mx5yKuZiJK5DUBTDWVIDlUBry7B5v+9h67F5llO55Lr1CWvUhpcGlrV/TQ9920r1g0/f+vLDE5fIEkUvEkf8OhlhP+RZSiMovDS7Of2EcknZchrAByU/m5i7w2LZVnXWZa12rKs1R0dozAeo5Seg80YQgSHcBBIcKVsORd+TowenHatlSY8qNbPw9rgkdZqankob6cF3llG/2Tj2bCFKBw5+jaYECmv1jGqd1y3j8YM2hYtIllOfUlEwd60Gqlzz5UbUV/KCeRym+rGH9wJe4nPGhC1utEoUbdUdGgIeOoicjZsi7iYf3MzWpruRjzSRQ9ttrnouhzxPnDFP+AxtdlaGTIYfUV0H7tKqWVGdio2aW0usjLTywim9CigKuSDEmJ112Q12pYj+YMsjSrzXvMRsm5RYN0+4CsssuJjRgFKd+oyZQdQdQi+2jisXM2Q5/cDgwVoeHg6Zn5QggkP0PWovk2c3+QntXX2YQznVQ8B3/0RyoPXY0zJ9UhHYk7nLJBQFfybi6jnu6Wa0PeyyM5Q/gAOWJ+j1/4E8PVfjNy3n/YJzgaeQRrXCMxfrTp6bIrXsGQs4FC1E5kOOFPvJT1OpwMAfv4tahVrkdZFwm/uuGgdQ+cPwHjB182jVHKFiI4LoxcStkUfRjMaCmBe4+fCX3JntrLVXPLz2GpQ0V0CV7rj3Ii5W2Iwn7KXo5mXnvHSsXIMz64p8JanMWbh6fSMcUn5aBzxs+c5HRs5S+pLO7JvuUclkY4n4A37VAAblzNfpJkSFzxBHTpPXqR+Ljlxfp+h9fJjkE/KkJtUg/K427b9J9u2F9q2vbC8fJT0eqOQuqVTUIAilKM6+4Ypn/Moi3rU1NK0LYZUEqjW40+pQDVZZm4VynjibuCiR4Vy2DVFTUWHorT4Vh5HSFl5kXaXUo0bcLampT1iPnR/PikaXaG+e6z5+Lj85WpKReVGVNSrW/mAI1fl489AePByBGCB2LVWLAaevAibv/Bvinb7C50ocTcp6gFWHg9/pbaMU16qj3Eju3uyhjcAlUR0ke/jvHXOz4fPyTJPQHv/aPW4PbZQVm8splqs7PTJayknxiZSaUpxyg5g9gaa7DQ/yzHJwtKdqc407D7tvPk5emz4qyzs/e1bqPxxD7x54hry1HreMaPAwp71nHhd2Urc/Y9fgo7PHAnrqSvRtnEZKdhDFaJlqKQbk4+6Q50VDRA6nAHNSi7yUcvecDbAVnuXLVAf8VeZc1O7nwz0aKS5Blh1jCCrSXtEZoXLaB3KnKg5wsxnHQpvnyBS+laaSJ508WRoENE6RsZkWvtTdqIk71zMu+KPw7Ow9z3xPH3GqWoXrBbHNJJEQ85phGNaqdTXsJXVw9m+lr4CHPeWui1vIx3MV2vbSR9zosNsfgXLWOiZvMZac6kjd9CZregvVLox+nZsxdYTO4VDDFC2g7c96s86z0pxLnbusJ/3FDB1O4Zy38L67/4W6XiUyG50mb6dInh/SqW15SIZ/4DP8PnHIJ+UIW8CIKNjxgJocdn2Pyrlk2agBJXohqGuJctgnvOB0gFmJiOe9ImIVEbJHtDAQOMbidFq3EECrcjSWCter5tHx8Gj6bellrncIfr9hs2CdY1Ly1iaQAaINFMsB1h5LPDGImet18SdzVG5+jkGXFKOPNKQa2pd5eLY+X56igQQhT+Mcpvdnkm0L13R6MJKCPHXtd7NwXznkBY9iqpl12u6Nqihdi9w7EpKdbrN70763QGKneUE+jHJoSrH9CbfgmYygFzZ6Pst7RIEMdyJG3uQ5lQDwIlviFQ7dxKytWCxe9C/MoquZfTItT2prh3LY2FBezmqb6djKjwtgCn/cuHv5j3uOVEyujaGSxGtdzJjdnA8Rdyff4DWusdGXnk9Kr5piOTYKebNLKY2v+HSgDU8zKL4fKboXzmVlOtnHgJuvUPNlOmpbtk4OMatamRDaY9qnP0J98i/pIfOWTeeciTKeeoTOc7SjC9J59heKXjM40FnlFvdgsrSa9D9Uj/w+CXAq0uQeJp1wHBDOpAnEUQZJFdyPhNBZ+bMY0OYBEu811tMTpYssrHsLSZdl/SRkxSMiVayBGOltGygWi4DWeTkc+ZELrWjcMZ+8CPnezaGHRyHg+BP0TNS2wikLfBJZYAFjGsivZ5kTp3ucFz4hDThzOV4fEm6X3xuwScgn5Qh/wDAZMuy6i3LCgC4FMDzH8cPe7x+VKEWB7HbvAF/gNISvzdAC05XsjyiCg0JJZoICsMl10JfO1m85rvl84O3NwDHax4vl7Yx1N4lSzPLJrRX0APkzQAPX2X+PpeMxVo2mMLSeaB/ymaWX/2AQMC2SFkL+aG/6TfE2naCAaFZ0yQUqtvC7yoTdXyOzOY1x/YRsi/Dc6D9wMoTRA3tw0pnOV27IyTOZl8SmLaTjDhASvoLf3J+N+0joxULUspdP8/GOvFaTy3KqXPLhqcwDYxpF8pXo/UMVkulAN71EEgAoRjG/9EGzn4BuONbKP5SDzB9GzBjs7Nn2IBI3nN9qwJWTEedhmrnN8iRGdh2CPkLXa5zpIzWfyBBz4weyWYAHBoDPHcu8Py5w297crwYs+Ak5/58dH/LLikA/IzDPuUV+IbGcehZwbIcfBxrdasTJ2EqOQDZMz3cUWqtEpgZG3SdJu0GZrtkRKK5tOblwUZyGctkNAFyDiwwkhhpnaR9Qtd40sDEXcChMUh09mH/D1iHhU7/6k8Qra/HRmi6VAaS69n6QA9TxwM3hrIcqHOuYx0/0F9IBn0orPZh8yAi6YfD3KxbSPuRHXaeyZD3P5rs3EA+6ZLOcnMAUDBAjsZgATnUwbi6Hb8W52lEO2VdAjRouocZC+gvonW6ywDS/ZjkEzHktm2nAPwPgH8D2Abgcdu2t2T/1n9Opnhn4gC2IwbNi5ZT57JBLuxVx0JyKewjApiiXvpMqc1k1BQz98RDQ4QUlx9cy3b2rcskL3q6Z/dk8mJba2hR9mcxZjaIkOGxS1VGM5nCtWELKYEv363OnI7mEnnD+P3kcFz+D2LZ4kokJ+5MMctYAH2gBj8eXeShJiZSCE9apE2rtcSNnhIdjXBGvvVz1dq3JyOiSoDSjOEs6OrR9GLrCpBHMj5qZ0l0MWBkgDG6pbzDv28FLEz73pmUXv/0C2IfTOk0Dn6D/s6Jo2clteiEFqbEOuVrjCsprf7e+A2RhUkPCMV54M6tWHOKILexPNo5sBpsycVB4LVjKUNjgSLdTg2NHQ8CL5+hvFV+Ca0fX5Ehfc2eubW/vQVIeumebJxNZaDOUuAX33CSjwDwh5mTU9EmslN6qj2l0/xq0jSOrpkcvfNneOdUYM8UM9o+GSAE80QpOBgpm+RNiTJK3oATbGax9wsGyDg+eila3ltm3lfGohIVX7dhdl/9CVGayJPek3/DlwTmSc7sQIHx+goAHvsRvaVSloPjRTaSj3Hl56cDgYfCoiwYHgT2MV0n36dXRwEgkx1IbngLewnkxoG1kiHOHVelBmbc+ZBLW3oJ0WTIOeaGrZnIHpdy6kcsn1gfuW3b/7Jte4pt2xNt2/7pyN/4z8nUgnqkkcYOSB52IR+2ISkt3iJSJRkPuf+zvFPqh82oabOkz8xPXdZJafu07A2y/2dtEF69W+qWCwe+2QCeucB9u3XzRPr6rUXmbY5apaUCpWWx+ghxXlWHCKHPMw2eDPVWyoMsukqAWAAYCtJDqRtmE/iFpwb7XFjBbIscqTkbUPnVABlYHmk4OPFHITx62zGNWny4ZDwEVmyrpJa9/EGgdh8hXZe8SgaVizwzHXACjHhmx69FLu+wWcelGk93aReNzUwEAdvCzBW1mLd5AppvHwLWzidjnN8H7K3Lemq11x2BGT9jDSBNzFmzQM7LoteBmRuN39t0xdsY2EDPQOdLqrNUcw2lfGdtLIHvJ78D/vhFAED3wdfUnaT8amslQONjNfGGaH2t/fU3hks6xUuLVYduzXwarZqxRNZm2amUftYin+BNK1DZdAf9EYoRx/7Zz9F9/rakWrK1yXGRAaVpjzMNb2lZOi4ZL0WDHBPxYZD+1c1iXyYAasoHdJcietvF1O4Y0QxtmkWazNhGo9vFMfjSFGjYzKAGkupxWwD2TVINvH6d4gH6jdwhMc+80IAR4TIUJt3Xn084GEBcN719LZZDQUxRL6XAkwGV/vigVjYzycUutLInvEn0tHySn3Tvpn3xSih8aHHJwf78/XRPzn9afG4j+5RLJm3PHhxxm49CDkuK1vnjJ8OChfexnG5caSeLJC1zG8a4g5RKvuk3ZMi4WLaI6ORUXiwIbNNoCLmEIypBAkBpw3AEGNtCFIyAAJq4yftHk5Jrq1SR2Pp3slFmAsC5T1MULjsdskJNeclD7ykiJqOmGgE64vVROZuwr56Md5eUIudMXIA7+htwnxYlIZzbVi8Hpm811wEn7XIiYRu2qK+n7HCv8XPlm/EKoGJPGSmyfXVq3VIerMHbimThdbpwxAzC0ttyJMa5+t9UwYIXkVVpdP5jiNjqfvod4JoHgG/+Epi3ngZ3ZCzgb1fRPybhyUXIqS4kw83Pp6KNAHMdlSpRjxZd7rzF3ANb9mlqKAmM8WLWtd/B7NP+gsLb1zoJNwCR/s+ydvOPZGvSBhDNQWhCIcZ+dZyajuaEODunOnfA34vkAquORNyzAe2PMMzLkuXAjK3AtX8G/n0ake+c86zrsTgkwrAxkbDqmM9iPcYWKBsWHnTiUmIhMnQlXWYUuyxyzX3fRGAH44WXuRm44dD5GpJBOveUnhFiD8WBOvrfxHsAOI/Nhlnv8fUuR8eeNJDXD0/hKBwV+Rnh+9cPp9vgiO+cSs/MuEZ3lkYbwGAYxXczMiuTk1bTQscwkO9A6dtpABEn90TehFrSaxc9oQKIz3xRZCV4h0nAiUWxdGzOxySHpSGvvv8JTLfm413rJVpgvEUFMCMpxzcBSAM/+iFFR2Ud9C8ZEIv8kFDExpYVLv6kMx3soCxkVs+tzsdl+VKaNS7LkuUUseqIYDcxcXPLfeg7p1J24NWlFJ1zQA5ANVkuwzV+ixa8HHlHc0kpHbFKvU67JwG7JxLCdbe0X12m7xKv774ZWLHEiRSesZm8aDl7Mn8NKdaaJopEc6OEMNWH3ZR2UmQoM4VtnEXG+92jKVpJ+9RpZbrEc9T+f0+aDKUFAkVWN6vb6/VJqXe4958xbF7Qjx1nSIqkvVJN5Z+yXPlOTl0YRccL5ym3ciyltQFK+fL2SllhR531fdt21j4ObngAa566kL5uBdC3+QD6oq8Ae7PcM9NsgWgO0FuEXS//AqnoIOE0OisQXWth03GSUZQdDD4uU5eMRen2vROBo95HYg4rPSx5lf73Zig6D8aA2eYsBM580bBfrzlrJK/7nBjgT8EDySmyQY6NDY0sR9qvLMMlKFucjz5IRTfg+meD+UTuIosNIm/iv5n2UR97Nkn61Vp6xnIvDYQjgC+DTGcIOOt54PwnBONcNpHXu/z8uZWuOKNjVYv5885yIJqLnkvPBn7/ZeMm3iJ2DraHggvpvqy79h/G7+RWldPa8aXVbNqTF2PYC/GmMfmW0zHjluvF50znVt90eKHWP1EZN/lLOKHsKGyyV+GQdUBVZqZIr24ftVIA1AJWeYi2a2QGL7+P9tFXwAgSskwzs0B91Fz0vuHeYlZzl+pnXKZtUx/KWIiAFlyOfpcUdU7cTEqjy/gDFAXpAxwsW619D0o1eKW9SprwppOf6D3rg/mqMhQ/BnRoADcblELsKwBWHUltS2mPOM7WametMxSj1p6cGB3XzE0iU1B1SIwBHQqTYVVAQKD3fJKRax5L07Oax6pkQSZaUEDUUvn9iueoyktPvXvTalS2SfB7h+cFhmmfs8oTZFxhA7H9EXhCwrCHZxSJkoU+11kWzansfctZ++zY8xIAoHMfGckDy55QNzhylXidYO1cOlNYxhLpy0cuw4bZh5yEGlz0YUQmaa5W//736fR/7iARPfEujHgOZVfkrEhpJ3DNn6ldq/KQ0ximDdgHDhTjADUAmc4gQg0+8Z2BAhXgypHQMnZm8jbh4PkZVbKVcedKHwno1VGpbmM69riWiufjVIePM6A6qTyo0Z9hTnPMpaaFnq2yTpGxcBP+LORG1A4ZXtu2QXV81npaMJnpChnEmN+nYEiMMq6Rgqx5a5HOH2EKIgeB+hPD+jbRM4CJV57PjhmO6XAAgIAPu779AbbcKmV65q8DlqxAx/o3s//mRySHpSHPCY3FGQNfgg0bL2cepYXs1rucEwV2TVQjyS0sbb5zCi2s7lKKjJtriNhBNoznPgWcbUjt8VqYXHdJ+uhB9GREqojXyqduA+r3A0tWwChlHTTQIpZD59FZbt4uECcQR2Gv6NnWa/n9hVROAGixb5PGQabZg5TwU0Zg7EHq950rPchutaT3jzK/r/eN8mjb9gCrjiZk+tr5NOHLJA0S5WzGBxz/thO5rUtBv2rM9Sidiw313vs0A8wlHGE0nCylHA2pRjPNgGw9RXSfh3JV8gmu6Gyg6bZRInZ/cSvwq68TKhxA9zKBmh5/o5SpyTaeN29Qyd7s/bFGeyqB7A6svQd9h9Y5j2u+1KY3lCuiT1lhy1iJbJHmaGXHdPP7B+uA9fPImZUNqFz+yR0Clp8K/PVztJ0+0zobUE3LpES3MmPAn1e+luXflqPxqnYzB4GbZAwo8mwip5hNqHRuwD22NvPAsK2OTNdxO6sXEFGL7WGOTpYD5Q5AeIja8Pjzxp27oVwqMXSWA53lGHfGKc5z2DuJgiA33QYAx6+kbNUX7hN62k08GXqWPZnhFsHCWRNQNGMKqk9ehHGfPt0clLVqw61kQpjwCKXMj0gOS0NueYIY66nHXM+xeD71d2RsNoyEKxh5AQcSwJOXqDvgAKu+ImqrWbOAFidPd8k18NeWEhnIBY+pc5X7C4EJu1WjlwjQPzn9aYFqbgMSuM0kdfsoct0wl6JZzgWvSyIoWl4Aim6TXNFIXjN/gNI+QndzieVQCrCzjKIIbwZoGacqEBNl5IcRnWELUKNiWfL7RbsYl6Gw+/ahIaqjZzziOvsT5igw7TL1rEpqM+JG/eB4YPIukWZcP09t+/JkRPtfbzFx2TeOJ4arQJyU0/DvfRgqNQAvfmoYJZxJJhDrbkdsd5aQXk5XdpY7etuVdbN2AWQ1sXslA4/Jxi7pl77Djj0Sph7d/5BYOSOAP2UZCtNS1kdY1h4Y7mNXxMMyUBmLRXza+pWzKZbm8R//pvmZdOtoSHudbWD678nXfzTENBmPOCYlu2g4sHBErHu5jGja1rI12mLtGUkGhCG2QM78ke8KshguXnY+dfvM+xrKEQc+kAd0lCPRxq5JIsDKXh8SRDYKYBqSjM3PsgFYCE+oRumRVJNv+fsuHPzTRgd2oOFblzv3I40grph7/Ic7zv+QHJaG3OsNoeDBf+AC3zVotHfhnYzEXa2vZ50liEt/Ps3gTltqOk1Obcm80ctPF8QQAI0E3TRLrcclGTo026jP/fXmFpjdk6h2nAiSMbBAILbCXjopNxpFgOqMsaDwPofCqi1J+slQ8Haytkp6wKK5oqWtSUKX8lS8YcrZiKL3PI/UXjZ/ndPuxQOiXqlLaEjUljm/uj/JiHx4zpQpdLfITI5MZAKJZadSbzsXT0aQw1hwZh4+OJLuF+/pNw1+0RWSicK1r2i4bLHu7tuw5cGfY8uiLLTGfPTq8N/SfQrEHWULX9ssupZr5sPfOwv5ZXMQDEnYim0NqnPAr9+uSeRcfpiIUr6ekgG1Y6No9VsgtVHJ1y2SBdsAkAPVXknr2XQP+PqyGCFUrmTcXl/s0tJmOOmTX2X4kywXJBCne8NLVRmvwDq4SconjLLM064/FwV99J4JeGZ7nI6/Jy2ltm0Mzw13E9tDOkx2EBa+D9z+Q8rsTN9mBrdF8gXjHatj7z2V3bNImI5h/Xz332WSe5J0X3SqXy6m0hhzYiLrI1j7ub+hb5OEZ5F0cc1VsxCqNkzQk87X8v4/jAf+D8hhacgBIP+oXJzy8NOotMbir8nfqB/KitqUlgzEKSJNBmmMp2LspadD9/y3T1f7bLfNEGjlsY3i+Xb0XrN9xgNkZHUgUSAOwGP23i3QoA2ZgUuXjAd46wTatskwtzjJwIBDudROwofMcLKMlFed4czrbRXtwOfud+7v04z75/SXnJ997U717z0TzOhogCYY6TU3QBDtuNULB/OEovezHuhkgJRI2kP/m+57dRPVVwslI1jT7Nwu5SWlmQyMrPyGcoF/nuX+eTxI7FJcsqWl57K091tSVCDX+GRaWimKwIol5FjuryOg5v466lBgkVVqVS2wdh7wwRFI3nEFBn58LOxdzHGbxICIY6XrEM2l7ERHBY037f8Q6UbLBi57BLjpt8C5HwJtXtAHnCQRFMnAsTcXZZ+2JmNAdPn6z83vT9tK/ydcHEZTVoXrA9MgEYCOsbCftpNTurIDaKJHTvlpHUXC2csoXE/JekI23hbU7EM8JFrDivrEscilLFls0AhX+XocqAfK22i2+vPnCMCZxb8A4/VLd3iB9lIqV8qTGLNIsnsU1LQGrnVddv/yVfWN/H6gog3Nb72AdEK7d/V7R+5Q+BjksDXkXl8YvvIBXO77H6zNvIV16ZX0wZLlakRsioASAfXh0mkXuZiUrp7ybR5L7V4RZlziMoeUBgAAIABJREFUfs0Dl1Y5JzbwpYmkhQvv3TWhbblYoAdyGAkv7TeaQ6n+IQOFJAD0FTMKRM0w6opBPiYbgGXD2zxXTakBVOsHnMjzWc5UFv5xJbDapTaeN8jAQtK5mJRqbgQo6RcPsD8pzXXXUrZyRKaPtS3vIMUWTAANW5DzP28CXsMPJoK07fNnAy+cTaCuV5eo2/AM7d+vYkQlLp58SZdaOrj4UZpNbZKHryBHTMYiyAZ7skRY4rZUePsYLLFWbFC2QepwSGxg946n5fX9Se10xtagGS7GoKOCHFN/yjzAIk9zYo95hwzgNZrDuEPr5qjbT9GYiUbTbaZ7fj9wv4RMtj1AMEqcE/JIUe4U8qyXvDvuQORJzqaHTbnTI+CwlL0x8UjkRhhAjhExyQZJ1zX8M/l6edOULSmWHFH93HUeABtOR1Qmk5KFXwcv69jg2Iu7vmL+ztHv0f99hQR4jWrZkGfPNxNEcTnlFeX8knUu7Ji6yEDMSTuz683WKsqisHnx6+/+9vBHNV8eR4Q9TLxBFzvwMchha8jjMapzXnDfalTkFeK3ye9Q683LZ6pKSZmIxRd0lhuv921mS2lziYaALTNowXSXasbUIgWS8KsPVP1+Uni5ESnyz3JcOmpaJmbgXvxz0uSgoZB67KY0M39wh1N1lrp97hDS7T6RDQBIOR73NqHqL3lMvF/YS+fRpRGtRPKcKelVRwLf+j/ivC0ABb1AVbPKXpf20jnEg0BfrqRwpX25KXGTSFOs6n40ATH/GuppN3Gym9rpZO79aC79G8pVWQS5cAPQzfrFeXtfUS8N3Lnqr+Zj1DsAFKdUWj+jbU8EaMqUTrxziKHGZSZAOVp8/2jnfqqaqSVw8k6KPI99x3ntKg8JshzpPk29n2qXlT+WfuN3NxJ46rh3nNkvVmoon7pE7Kuwn67B9K3qtm5rgEdaw88da4nqrBDEPrLYUNcf/93cISI00t8PJgQlKX+Pi6m8FozRNgHGE54tEvRoTgVH28eDwGn/ouevuFt1GHKizmxB2suicnZPciO0n9CQE/TJDaIH1BHDW+zaXcpjnFOCOyGDmmPfbUhjy1LWBZzFppJd8qi5la20kzpYZJGvWziavZTJuS24g98uuC769+9QNi2bZVjzH5MctoY8v4gGiuQEfPjiFVOxOfMBXk0/4/4Ff2J0KRQ+/5gbRFM0oj/s/QViwdges2JJ+YnBjX8UjFO05UZuoktJF0XMY1rpgZWVRiIojpenJCN5aso6GTAcF6uZ81GDuvCITv4tH5vN/MTFNFWI81dzlPlvv0L/u6HIT3iTHr5v3aG+P66J0rspyVimfXTfBgron4kFbrSGXN6uuBsDBf+iKHosG7qgk76Yyhxpn3t3hCy8PYnLvnpg5hbgi38kB24wTB0K4w84v6szzvHpeFx4FBhIuE+xkyWSmx0lLMutP8v++eyNtCbkqYChGCnb4cjKVs/90keAL/wZebPzsOCDhfCNU7nqR5KO5uecb1oQdKonLzc7qTKy3GMT+UdBvzuIKr+PSm2whEHT09bya1+SUs68LbKsQ13z3rQGlkxn9dMdYrHv2F5aT/xZzHip/76w39krnRshA3/l38jZBqRo1Uv3ieubYEKJRmFl1Mh2JGa7014GJu7Lvk02+dqvxOuSHqcjx6WmmZ7Pqha13724WwQ3o+mD5yJ1sAw0Cn6L6Vd+FTXHn2H6xscih60hD+SwFGJuBJ86sQ6Timvw6+RtiNhscfKHiC/O4TU6CsWf8jujSFnaKyidNBQioy9zGwfijPM7rg5jAWif0RD1ym6aZQbmAIKMRI7CcxK0fTQkFr2cmuP76ikh1rC0x5mu49fCBoH9Ul5RKtANlxtQzLJFe15/HvXBlrcLpcB/s6Df+d0r/gYU9wLdRZSqq9tH/cS7J1Er4BsnOb/Tqxm2jnK15j6ajIku5z+Drh2vqcCeynY1bet2/1O+kXm4dYX9nBg2YrXVi3ZBkyFbP0+8nr+GHA1Zjn0XOPFNYMFaldDHJDaoC2K0MraFprG5yXhNYR73Njy5HmDqTmDiHnqvqA944dPAi2fCHyqhXuXCfqSTFG2V1Uh4gr0TBW1uNIfWvd73a6p/l7eTIVr0OgH1uHKW+8l1g33GS877Iq2d8vukqG84MtXWlkxBnD8g5nqXdwBTdqnGr6JDNYwFA+YUsKkzhYucqpeFAxM9KVX3hIfIER7XKNa1/JumNc0dkHEH1WfJA3dcwjX3Aacuo6l/JnE5p7oHvJjwiBcNG3zkUPC2Lz2SN0kgqQZiBQPCoZQ7VvQyIBe9ZVAakFM6dwEShZswkBplav8jkMPWkPt87OaHI/B6PPj296vQbjfjj0k2Ii+QoAUViDvbiIZfS6klvvjkxc7T7HqNKeUnxZMMUJ1ZNpi8PcyXdoJPAAAWpfbktih94fNZwrqeHyhQf2upNoTBBrWutdTQcemGQjbktkekxjKWQO5ytK0bKGtsE7U0vbqEjK8FSnfqLWuLDf3yMxndaihGDsTsjeI69BU5t3cTmbZWTsdlexp0pcRTbLIDU2hwPnRJ+bJHklf9FbjuXuKINog9BJHRCQ9RmtjU175kOXDEB6S85qwHFr02/FGgNEypessmpb7oNeBKQ6rexM4mi96V4E9R9sBN9PMuGEDonL3iXAr6CDS58njgrRMxvv4W4P6rgYcvQ9uOfwGgjhPccwPwdRaRcbrWnVOBU18hDgFZwtI53Pg7ur588I6VUQdyLBbXyPHc/c/d9L9s2HhaurgbHTLH9nCpSTtfmZ54/EFa+8XdAqlf2CeGfOT3O0exmgyc21Q1wN2ZXMswJ4mAmkrnx/3kxWogY/pdvgZv/i1lBv1JGrwkS5Eh4/PvU4HjGB7pmHednwPOSXYAcNbzaBx/AXxnvYvQdAtlC+fDW2w4P5kIq6LNOY5aX7M26Jn0pihr6fYMR/KU0ljukeKjrplfwZ7+z2JX38UYSLxn/v5HLIetIff6mKfuTwHVLfjcze/iQt91eDR1DzanPxC1LV9GeHKBuPogDxt126ycu9jC1gcFACICzoZCLuhTW13cRI6sZaeBg7UMnMAAzLN/ufOR8rF6nLTw+bEOszGx5RPNERSVMlhmsYb+BFgbFjuurRKpB6+HeVP0b80RIt1qZYDzn6SUoCwmVPqwjCJzkhOl7ER5B2a+NBnzVs5ybDLlgYkUjQWZMuMRIC+FDOQD3/vRCD8kg/E82SPybQ20xsa0AV++S7xf0EtAtniQlMqQhP6dvMu5n1wpPT9/DUVAR70HnLQCiSOeFFwC9fupxBEyrBF5jC1AEawsczYMvyz+Whsp988/oG7DqWmPWCXu15LldE0BRHq3IaeOnYtGTLTnl28Bu6YCG+fg0DbqdLD0Hmy5vDCQh/LAF1UjzJ/BsQdZrbePDEn9HmfEvG4BIfuLu8kIyVFYcR+VIuRS2UnM8HeVq8uNO7V6BM0jRxmA9sMfUpYJEAhxHj3qJbgCg2NlcuKygbeGtwGh0mXdZMKOyBPUhs8jTMDHxnEEWlx9BM0D4MLxF6bD6CoVzJYW4DE1DMi6NDyI2a0AqlqRuemH2Nl3HgCg9uxPYe5tX3N+t6Cf1kT9HlrTaZ/q5E/co+rLwTwKCibsFbwH9XvN2YQ9Ygrl0AGpA0Q6z3jaZTz2RyyHrSH3eFRwkWX5cKP/h6i0xuK76c8gUtAoUtBTt9O/iXvVh9Bjk7fKW5gcwmrlbmAKHamsLx7ONzyS5A+ylKJN0cYwdSr7rsmR4N87VkoHpb0EtONztgFydHSPXKZ8jOQSqr2/kNGSStvx3nJPmhDpHHSybTqwc7KgveVigx48HiWMP0jX/b4vAAu1gR4Zy8yLz8XtnGWR6oPdK9rgCXlQfGoh8haEMfXBSRh3azXy5uaqAEb9XpYyVPkJLtSMfGKUEgmw/X36ebrn1/8BOO9p4SRwrn4ZnPbqEkolM/Ss0tlwimG8JT+3YIyAaR6baokhlq2R57jzDJAuckvhtX8CGrbRfRz+DTq+2XdfhJ4Nm2kq2aRdNKAFNt33qTsI1FbZTk4KgKLaBcrPxKY/re6Xy5uLhl/a3WLNVY75jNimWER9oZ2Xo2zwK2hYehfKpiwihcx4x33ROtooY1EpJuMTFLayWBbdTw/oWRrTQobhez9xrqlqKWI2OZXcoOoIfSkVvOCIDzDhyyc5vwtQzd3KqA4toNXe2TMuDwcy4XK8KSUrM4x7cLP5fMLcoWqK+hN+WjOdpQJHE88BVpzs/G62jFOr6hzWvmYwfL4UrZ1gjByb/EHgbcbP0JVl2mHtAeGgZlyyEZVtFLXz59FER1swQIYdILwAFx7IZAGKBryjmNb2Echha8hNkmcV4CeBB9CSPoifl19Kb/qSqkGtkh7eIIvosjnAPcW0sAv66J/sCAzmq163BarTjT9AIJ8zDEMdTGKBFt+kPVTvmcDqjR6bvM+iXqd3P66RIvV560UKjyujDGO3skGOiP5gylFAtvnO911HJBhLl9Ox8MxGfyGhinX2q2FCFmlZejPAr25xDoeJhN37cQFgvCHbkEVaHtyDjheaUPfTsaj5QQh5c8OouKwc3Ru2qkYzbxDYIA3yYCxv4d5P0d9z1isgstrfFCAwK2I2lJ99iGqLq4+kYR884tra4NyWK8C2MU6yGpNiyebkAMC6+eT8mdKmszeof9c0iePPV2uFeef1YeOzXxRv7JwG3HYHpcpDMUF2IyGQ6469DnPO+7P6GyNR6v7s2zjw0NtIJQZRU32DcZPo8hJs++njCOXWoXb+FymjwKZnVZ0zn7UDngVsZxO11mYhGeHAs+Jeql8D7gM8AGr904Wn3nXnj2XNKj81AwBQONfA3QDQ+uagtAUfCOdMvrf5g5StyY2Inv78PhEU+JKUqn7kUmC6irIeltNeAr73Y/W5lo/54DiaqHaoiqJpua7+y28498fxDgDw2QfF61Nfdmw6mFrteA9LlwGl3fQ85A0ikZBq6V+/E/2JN9A29Ef6+5h3nN93k3lrgJmbgWPeU2dDcIkF6dnyJYATX0fpXeuBuRvg+5nW7umidypC16MgcNLoj+c/KP815JL4yoC53mPxhcXH4V+bNuCfFXc4Ub+hmACT5Ugpp/EuIIn8AYYgZc6ArtAjeSrzlMem9HQgCfhHQUtZ0eYEbA1JkYbHJsOpjwi98q+kBBoF8YcjqkgEqJ6sO9gjRbuyYQkytP+SZWpPvonGVR+PKstqqSiVsaiG/4FLf3kgTmhkjkadto1qj/J0MsBRX2y8azsO/nM5dtzzN8Q66BzSUemhLetwpi2Z0opsYkbYn6J+7flrgHlrER9qQ8W9m4CrtZQzQG1EBWx9PHi1dFxe58Qq2ZnaOFt1JjoqnX3UXPh6K5BSxdxhqjpEIz8BtSXriPfVffAeYBtUv134AZ1f/V4M9hsUsSz8nrZU0THbQKRzL3xBLRreNTn7fgB03pmPDU9fi7WPX5V1u3hXD+yMDTx73vB7sR4Ggkv5hPMpOw+TJSPXW0TGa3+9OslQnhT4xgk0tzqbLPyAHOY8DSjF6rjV5xOQ0OPzouFnZyubTLhpETBvHT3fi1eQY8S7Lvha8Kbo2Vr6Kj3zgSRlEfIizuCCo80d3SDMwc5YqmMtrzfHGFXpb31M8vw1KrZiKruunIaY795L++jY9S/g3uuAqx6i7NvMTQRILemioMebQWvrg2J/MzdhV99FaIp8H2s6KpQ2z9J5LpPy+FfP+D1dl7HNKoERl1iIgqvOCqCrHD27NwDRIFJebVtZTx5L9f7ZpVsxLu/HWX//o5TD2pDPO/4VjBl3BeYeR54inzj1+YumYEFtHX62505siRtSfjXNav8sAMAiJGN+PylMXrszke7rbT/JAHmIOUOUrtIR4BwMY/IifWlKKeki8x0f97bzc49NUW5nOcRTLz39GYjBLvV71fTgSDU4ZbqRlzzdvmK1fq6PbBzNfgFqW9kzEbjtZ8AyNj2rsJeQyFf8naLJ6+8FSnuAqx+kSKOmmYy5nH4EjLXqzvdp+MuWO/8EAEhFhsRxFfY5FWRehBSqPvOaZSAOPbsRqG4X4Cwu/gTw4++5nycf+MDRsTIjYGGfMEayE3fJo+J1fr/GEQ6BtzABpCyberqnbWN9ygaxLXJU8gdozXkzQK8LYcc3NUY07kgeGoNdy/4X/Xv3wfJIXRcyO6Jp4hRAtc6Vx1JZJov0btuFtpfUe9219QP2ygLWzQVePk0Y2Isfc/Ya8/S07ABzRr8b/gDUHgQm70bd3VlAljkJqrvqayaai5l3ng+PTxiEUHUR5v1J8Hj78nIokzZ7E13n1Ueoj2kwBgQSCF6yEZ5RgLaHDd6pr6jve9NUAtPR2qYMkkl08NjE3cBFjxE24jMPkSP/829StlDix5h84q3iOyGWGcxh09U6K8QYWgB9F10h1sRgvggskj7l/ow/68yshxrMqUFZzmfpD06u5SarjkYmkqLSTEu1OvL2FOkaTqQUvN+jDZ76mOWwNuQeTxA19dcREhbAxEeDwOwN8BVEcceFF6EklI9btn8LnQltJCOv503eSanU6+6l2lr+IIGUqltpAVsZZ5TrS5qJC7wZio4BlRULEJ52RRsp6KoWUtJ8ce+vdw4qkNM/K5bCIc+cT8NcAHOEHculQS1pD7B/Aj3YVS3UMjLSQAL5/H53E9V2daIcU+scN6wmIw9Q5iIQJ9CbHBVUtRJwb8c0YOFqZwTEMxy+tODjDsbMkb8k62//NVpXrBRG1FT7y7D2ACndOOuRE1BzDVOc1S1oit9CkeDJEvhvhuZU6NJRQWuF1797SqQuCEnJ5ktc5nkRivwvfQQo6lcNCG/Dyo0Mt//llLEWzKoWMlJHrwIWv+48Fk79yjsExjWJFHtfkRlXyNPRgNru114JJPzY9eDfUewTbXXyPS+8dABTnxoDo7xwNvDANQCAUHEdAKDu84uVTZpeXIHmx1WimUxMciLfOpEcJQ7myxukNe4muycSuJDzmEsgxJLzNDYvPhhJGu264KHPqNtYgMdD63fNKcux5pTlAIBt168f5iL3hYPAj75P27caroWXeN/j2zPIDGlG14KzXerNE9ln2s0KJChj95g2GAoYHc+AXjaYtYWsypd/h/pzLqP3SiX9yRy/vAptel1Zlxpw/OD76ufc0Vt5PM1f6C4mKmHGne4J+ODx+Vxb3mZ/h/gpkhnmGKdcaui62BbV0SfuBb70e0z5QwMwn016XDBCNupjlMPakOuSf6IXU58vhicQwITjF+LOSy/DYGYQt+y4DbG0pAhKuykVmRulGpZupLh408KQ88XMI3T9IWmRZmxP2WEmREn7SYFaIPSt7DX//kbgC1Ld0YI6gEKWYEwlR8lG3pD0E6ozY9Hir+hwp6S9+gFC8sqXo72SKFabq0mJ8Doc/1/26HnkW9zjxBMAVCfeMNc5P11WJhvnUA3RguhTzXgpAvYn6LrxejT7ubzzOlBy8hgEq0MIVQkPPx2Li3MAFFYnAIS+joXI4WkQqelAWRBlF7PrO2EvnXfaq7ZGmSg4dRnKVZnuONBNBgzN1IBUHpsAeDr/PL9GoSiwkVK6FXOOw7yb/5dKAdlq6m69tVyiLuuBr3m9JY2BILvXb8Sc8++DZ92i4dnkpTcNou7a46BhUY0y6YRvYMGlj6BwLEupRnPYc+TSzaA7HHwsbjDOhpm4SPNYGnCT9AOeNEqf+dfwRwqKfv5qcqaWLncgzIuX8A4WMjTRfYNIdom1v+aU5YjtGxqmJPXlBTDDs5Xq1/uyOBktNSJ7o7RZsWe6tJP0wLYG4I0TnUA4bth3E7it9usSPuN0Z03bISZdwJyy1ub7iQ5VLhE+dSH9rN59AABHSXPtuw2jlQHCAcRyGFbED5z9HFDRhtl3XQjbzlAAZaDVbmv+OwCgL8Gi6dH0ngNqIObNwAoAFaHrKPvVsA35/uNRn//H0e3rI5T/GnJN8sqnYd6FD2JgZxMmj6nEj+Z9BVsGt+K2Xd9DKpMSrFsyo9pe0ZaAhi1ABQOPceU5fSu1+cgtQaaonMumOYZ5wVnkpl9TynPiHrX9TE/rN2yhYynVgEXZMtq8brZ2ASmNQy6R0lfuBKbsZACVAWcZYPNsUoQ8kuOKprpFOBwyV3MgAUzbQV6vXHNfsYRmlMuiRwXVzdSHPWGfqMVzNKsutfvhCXkxsKEH8ZYoogd6DBsx4UhWgFDqgSQZ27RnuB5ffFkatm2jc+AR2u7lM8gBiIbU+znbULLR5b1jJO5zqAxraQ9xfps6Ii5/mJwh2cGMhBEOzFMikXQyDg+f1qRfG9kRKDI4VXKU1VEBTNqFsmksMt7aQENXOM+7Tj8r1WI3PHwjMo8JRqzCyyLw5ecgWD8CaU5fPjpe3A/btuHx++lceVuTRlPry88RXAem7IHsLOnnqWxXCviTGNygOuGFS4Io/2wIKFHfrzi9AbPvvggAMP7WeoVOedeta7HtS6sEC6SGGfGGg9h/QxT4gVZ3DUbdSWDkVjxfmjAhszYLXcUDhSykPZ0viXrwmEsNNMNclv7b/bN4EIjmIBaRAKfS2q876gbEhg4o4MHKaZ9W1+AfbzCf5+7JKv1x2gdc8jg8OT5kEkyncL134uuU6j/mHbQ1SWWntgq1jBceNEfyNhxlzrBvAfKbPgPc+0Vg52TU5v8WxcHzkE7EkEmOwGb3Ecp/DbmL1J5FnOuL50zErQ034K2elfjp3jtgh/TaOOgBmbyD6pmRPGrxAcggDRS4t2O4KY3r7qX/c6PAZQ87Pw8N0XjMRa9Rb+++icATF5KhmbqTcTJnnOl2T8Y5lpUf2vw12huGbQAy5qEhMr5nSXXhsS0iqpu2Q2U5499vrFWjJU+aFM7wZCWvOE7+nAXiIrXrJnpG4Y2TKPWY8qke9ewNwASt57q8E4m+HhEd6Wl92RjOl9K1MkYinkOtQr+7ET0XXYi1qSCaeyUK2d5CcoRYNIKCPjMyvWGLkpIFIEhDdNnaALx6CikyvXPABkW9/YWiW2H9XEwd87goXwyF0Pz82+jZug1Wc72qHAv6gOvvofV59rNkeHNiol5fe8CZUXh1KfrXdIjr1V/gPvVMXk/vHKN+lEtr1hv2YMyX3aeSWS9ehEP/3IxMNEm15oS0rqWos/6GEzDp1sViHfQZavpyG2S2TAkbcxpvG0Ct/VfMBGUqJv21FDXf1461ugXjLlsIfwFFrJ3/bHY4S8nuhGCBlMhbPP4cHLxrDyJbVf0w9qZ64rWwQM+OTjTFmfpkbESRIbMng/y0Yyr/tEDQ18y7ABOft2hdcuDo1fcDd99IJURZpm2jkg5AZa+eEvXzrwrkd0ndsRjoXQ9YgOVzyZ4Yjm1Y5DIAm8q49q3FWP/6OfRe/V5Mvf5yWDmgAIoFTW1Nj2FqYAV1UMjlt1CUgqzxB6hTKBgjJ2JfPWXjhsTaWvu7m7H3STYj4t+nI+gdh84t72L9vd/Euj/e4n4uH7H815C7SG4Vq1MX9uHCSafhuqmX4YWOf+GuPX+i4SpjWlFzc634QiJHpfoDhDe3eiEtjJIuADYp5uIuSpmNlbxWTxq45RfShDJQpL1E6xO2QDX5SD4bKuIlMg1OAVkwQDWnUExN4Zd3qFObAGHYgwlqz9BR+oDKIse/48k4KTctiN+rk6IDuabeV0ipr4xH9YpP/bd4uGRlmgyODLzRe+3312E+ElQDl9m0AklgTAc5OZN2DYPfYm1SFL5Hi0J4i1JRDxmzwl5nexbAOOc9ZsDexjlkUL0ZxkewR2XdqjxEZC2F/bSNXnapNrQ9udHzAtSnz9u9Inn0271FgO1FXjtTgixK3vvok7CjTJkWdwMlXfAFi6kP97MPEq992kPtR/zeAcYWnETnAHCQpf+jIXfCHnnq3SunKx+lfZ3I2HHEUweQqHsLuOhxYJEhgkzTdV5/w6PIJNLmOdcAGlc8ie2XbwdeOpOchlVHGbcbllHgLQGgd/daBFEnDieiPvszvn7d6HZkkvZyMvya9LzBHCkfI4zR1z3PVPGsi1ugEA9ixjMzgOfOcTiOxYsqUffNGZhw+0xE2g5iz33PEpXpxL0U4Rb2U6lBznpM30KTzCokR84GsK/WGBesfWsJGnfTuOL8qeMwZvrZGNNwLryBMGGOZDFF5XL3AEDrc/VCGnkKAL40op6tGDP2SmWzpr1/wI4NN9If0n0umjIL8FrA3A1UBggwB2vvRDp+PtyotwBIeWFrar7xtUfxSct/DbmLBIoKEagIkTdX3IVr55yFi6ctwd+2v4jfrXoWtpVB8957s++EK+uhXDZ2MEYPhS8NvM6IFNZJ5BjynOuMRVGXd5RDUQDgrwxUwyPxZICip9kbqBXGm3FGHHKE7kYMwo8nYxHox2YkN5u0do9YkIylDcaYxtiPZL7rtJd62xNBtV7XUU7z2gHyiDlYx5titXnDSEtZFq+gFhYASPmxfu1pDEfArl+1pBj9KfpMZs3jxwqwh5elY/kT31tMkemx71INWq/T83OTo1CertvaIBjG8gedw3dKulWlrPdUy6xrlYfULMHdX6bU8FBIOAAaQxqiISAWQrSjDcG41o+v/05OHKmODCkvXqfMeNlMgFyRyvfY6nxzWQ7UArDFmEpdDrrXowcTq3Gw73vY3H4sujdsAnJiqDxnKqYv0/AJUk1/373uHNfplQ2iRaqvSGHnAqAaO77mTnuJMl3lLuh5AH19b6N36FVEE9Re1b58+/Bns+++CDllJW5fHVEykYwji1d5+ThEtrFyx8Q94trLmx2oo//HNdJ4zgueor/lbo2kD9g9GVu++Syqw9+hMtskkaXyBLywqxqx971fYMdjv1dZ0SzWotZbpDr389cJTEB3KRnWIQaWbR3jLLNJ3RpDke2omXMZfIEwZp/zBzT88lPqtvUCn+HJlfSF/Ay0l5MOoJrLAAAgAElEQVTue485MuEI0qkB+IMjTE9r2ALM3IhoTwtgZzBp0q/pfRnz0SXtY9sMbcS0U5IRl2FPH7H815BnkcqFDOk5thlWSR9uWXQ+Lpx1HB5a/wrueu8Z2KksACE5vdVTQgbVjY6Vp5szHlqU4QFgbz0NL9k0x5mm0oVH/lzxynXTjIe8S77w9TQ/rxv6ktln/8ZCDNjC9sM98iPeF2l5DsrhUSk3SEW9NGRlawOADLDXUHv7h+Q9l3RLNI82pYP12dR6WnHKTkJq89OOxv8ve98dJUWZfn2rc/f0zPTkHGAGJgIDg0hGBUVRARUQxIxpdc151V3jyqrrqhjWrGAEFSOIIhIFJKcBJsAkJufUuev746nqeiv0gOuq354f9xwO09Xd1dVdVe+T7nMfxPXdK5GY2EhZpV8PedS7YyQRiHYyTpaYNgTIMCizFAD9Ph0OYM3pAM/DcaNwzDuLgW2nqF8PUESkTH+yrS5KZB6VRFZEfDAfePMaiSCp7NEXMiIHFz8Lb09vaDJYfxCdUpeZ1L14AEW7Q7/eZQk9LbAiGziaKRmhAEeO0Qdz0eb8BC3HviXZ2ap0gAPM6UboBtQBF38YLLPwTEKgY7u2+I8hHkQQZBd9sQwR0UnXAdsSafCRBn1CM3VBKNPHgIwNXtG8ACX1RNJrXEHGMvuOycF0Ogu9nX6/xPkDVM+poDF0yXYZQ2pMbJTGorrI4Yy/i3HAz10B3PIiDcaJ6CTHVTSmJQXBl8X6rkPswMnkmDra4bhQD7/bharvlgIAeJ9GENERScS5/jIXHpOUhWuJlwcoInYR4dLnkZxWnd4EqyNJ5ligcgDwyF+R8142ijYWSttZZ1Bcd34Wsi0mD1oaVqC6TNHyqTpOM+Cywd1KHJ2GtT8jPHyMvFTVlCAPRPrkDvyOj+bJHh/6RCEe8zvhpCHvB2FposQoKbPpInpw7/lTMXvIBCzZ8z2eW/Yzpdm1ENsiF9m4n+mrVRIrREPtslDEsO1UaocRDX9jgvq9LJO4xy5frFiSm2jAvCbqUy/UIFnxnPyYRm2lCVn9QVxorC6qF+8tlPS/xc8U2uN0KR2SQd0yTtqHuCgqxXSiOmlAitlF+2pI0k4lz1hOi/u4jWrSV3sUrL2jYEoSPOj4JmkxK9gPTPmOiDCiUT+eEprYqhZKfTIgKOEdziVG7O7h6NnB/KaiqIoSWsaO7aMetZWGS+QIEd/wXdrjWAHgnmfof5WjJJyP7gh07alTM3aV9fog61fxZUUJ3Y4ocnyMfmDUFull7Mu10uqzl0qv2zkCqBAW4NYYcoyuWAx8eR7tEwA+IaJY9Zff4MCqW0jvXjS8IdL2eY+fF/zbZ6glp+fIQCHLwkRTej9l21iDxEEi6AHy+05UP0xSTOziAb9fcgy9fV042nwrvP4WdDrXorHrTfABngRqAESNjQ99DWlN4jN6gK/Ow1GbXDAmaCjdFqArEk0PMpEjK2cslkCUjjCAtp+OomV5C5VDxmyBdZgbu196IMTBCajKVG/TGo7Cnh+t77VC6vnmeene62zbgrhHOoDL35FeG9EFe2EYOB1zsjxG0rqoSwJYY9oRCRj8cDtDjCZtjQZueYH0CMTzILTf9tRUovs7jff0RzpWECvTJ80O/drfECcNeT+wxJCBjZtQRApFFjc4PXDPtLMxt/B0vL9mDx7b8yJ8AY10NAcawchCFM/Qmu4DkOdam05pXRE8KAUtRqDitcz2fvuMsjm5iGfazsT0tV9PZLMpGoNMWmNJKlSEmH4/kT5SEZUDyVj59FIqU6h5B9pCpKOCxpe5DMcLadLi7eSQiOQs5SSnxAaSnBxQJajtKRaLqgw0tr4FT5ngDMU3kjHnAhShRLeTvGOuYCA59H/DiqlvtuauNFyKkY+++H56xa19kra6iGEUbdqszOhQ0dDHCixxNkvw30SPDaawZBrMIg7ZUXY98Jz0HduiSfJ00wQpgnlrgbRA9mgQ3YJOpZFq97tEiVRhe1M8cOe/5O/5UhhbKtZ/xWtTi7QGwJYWDZ3DS+eZ19G+eR2xnWvTQ39/0XkRT+GQvTCMEu6J7FJh7CjTYXEsmfTn370cuzdKrPvG2k/Q1vcF9taORHnTlahdvAs7H34cNV+uAnjg4LW7ED05lbImHinyM8YatZ1JDsDTdwNfnC/ffjzHU4TQZ631+toPmT7oo5nwu4XzXptCKnyVDAeI7VJQQh+Q17J1AXlU2xJL6xe7jymrgdevAR57CDvXT8aO9ZPQ11OK8v33ornhI6TMlBz+iJXMNSHOkecAPPgEsPB++bGs7GcmeIADHnmY/v54LvCvO2i9UqwdESPjEXcOU4JpTBA4MBppCI9RyoBFtyIyU4PE+jvgpCHvB3qLBSMeeRDJk06XGU5OB9w5bjauLT4XX1avxt3bnoQr0E87mQiRhKIUfAGI9SnWQlkvLxjdNgE3LQIu/JR6ltlrqj8NaOmo6eaqyqTWonBFuksUhwGk9Pu4jVIUpUR2qfZ2tudVNAS9YbL5vcEbQvTa2e8ipgxfvIUiR5ZFXrSToun8A/Ixp/ENlM2w9ZA6GQDENcFdwUuLZUQPGWNeRyk1XYDOA1tqEMcrKsH2pbKpNZ5DYpogF6oLqIlu0e2hF8BFtwDZ5bQIiIcgsGv7lqeoSwc/CxK1L9+kvb9fgwAHLLkC3PILqbwi9s0HdHLnhiUtHiiU72PiWvr/UF5o/X2RzCjWIJ02uTyx1vvKBlM6f9NYOpfiotuUAGw+lWbTC8h56By0LPHB8MMlJD97MDf0d1Y6fmLng8iVyKxE3hNnklrg2C10jdp7adJZXTLw4s10LW2cCLx9dXA3rj0cnc+ucIr+mhKAfYWySLbzpzbBMaXrxTrIjpQbMzXS1cKFUZJP9wOD/IfnaH+vx6WIOiPqKYl8GGpwk4iuSPS1CkZf5Fiw9XEtrYlTfgaufIuu8aF7SAESUPRe+4CaDDL2lzAdON9NlYIPoTR4cOf1wafdTonT0vUj3Qs+XydwgTDe94VbtXvBtcqXHgOwYwRw2/Pq5164VZUh6ao6gPQxksoeqjOBdoeaewLQbxSc3BiA33eCLcP/ZZw05McBx3EwmOzym8zgB8dxuP6U83DfhHnY2LQNNx6+GZ0ZB2lgiTLSEuE1Uip38xj1cyyZy20hT9Ftki52DhSVaGkEs73drAiMVgrvzWvopjL61OpPSvRE0GAPFhHCQAaNVJ0KIpnsYL48YyBGU3q/POpXGq+sMnkkbhBkG21OuWBEWC/dwPUp0sAGp43U65TKYx4jGY/KTJKNZRedUGpPWtPFACCgQ7iDCH8GxEmGzmuQZhcrVfDuWQi8dCP93RRHfeJiCpf9TSesZ1oCATx5n/rzx4cmeYEHpa47+2kBWzeJ/gmtZ+4KIdr1mmlx9hvUPeBaxdGWGOAKZkoU+5nid5i8mhwin15OcuzTIA0q8dKfqad+zRlyUmBdCqkWCi129uw4VN3ggecoT7+/qGamRHiXpNMgXs/ipLkxW4DpX8IeXoTevgPHN4CAfNyrjqfMxLI5kta7aHCEa83fJb/O3XVO6MOEa49NQ4tOpgZ3xZqkXV6xDKTrblDcx6ja+wLTxnn8Huee70yh0/5syUGEzQk0JpNSHjip/MSeU9ZRtvcAdwslRrbnPXjfSd+9peEr4C9PAADMafSdurq2ynXcQ4HliDTFAnc9C7x7ZejXfzGTsqXbRgZJrM2lP8pfc6BA/ljZEdBlB0oHoWL7H6O3ftKQ/0rMKpiIhbeOw8Gjbbjq/adR6a4kYzN1pVz7GqAoJrZFWhzZaUNKpSO3RR2h1MmnJEVfKtwAshnJayUxj/6kVAN6+ZhMFmL6ctRWWpgeZC7OrApaHEIJw7AwebXrY+Li2B1BRC8e9FsM3yW/wXeEIIgBtFBHdADFP8vHqor7Psb8Vuzv4DUB4MjAOy0URYvEOi3N+iveoQWoTIOg1x4NWzhFfT5Pl/Q5JfkSA59dAPU+auMxe4CaFBp2AtC5uOAz2UhOuK3ydsZBQkqRZQDf/QwZI5aRL7RlIaAj7oU4jhIQ2nSKKbpgfxNWKa7XRq1cJfnAllPlEbPWeEyAWn9YfDGTIlJHO7WO3fAKMGwv8PS9J66opYUDhcTIVh7PuknAriLsO4cZidlnlfeWsxDbO30Gur6VbaMAelpLcGSul/ZzPGU7XhfaALJGRTntT0D4zE7GkDM70lAoQ/4BcBd/jmO4X/Peyk36Bkm2e1BW8mdpo6OdWk+H7QGyypEwrUD1PgDEPwjV+18sl7yNOS8eRf+eK+kU1CdpOz0+o5x/I/4c1Uza/ktF/T/4IXRfums8cFW7YDA4TkwRkdVEKD/+MB5UZZLGw95hlHL3GFG99kP5eXcrCIzK9ku3FfAZ0bu/f9nn3wonDfkvARvtMgvq5MRxePOxeehyOXHV269hy5Fy6rfU8cA4RdQ0nLkh5r8vRVVsNOjXScxgjQUi8WYbcPoatDVoSCga/DQAIqGhX0OuM+sQPzNT/cQLtwDTVlDq+rS1tO2MNVKtTaxR1aWqa0bswhLVSo+1Rv5NFY5bJHAFdIJjEWquuwb0fnJ26hkSGReQiDes2p6Y+lLWfMXe08RGEtNQfnZ6FbHQl19Is7E96tSvXs9EH8FWPmFHRzPlg1n8BuQnr4ZBFw28I6VjAfQ7ktU6q0IieYmkP2F8Y+S+B4BXbpSIlS//ma6Z5ljp2hGvW7eZjq0umTISWqjIAvYNpQjYbaFhHRmV5DiFMlZai//nF0hDZtg2Pxah9lewn4bMaE0Xyyuh9kXl51dlwLOecUiWXBFaAU2EwrA63vtKeiCey+2jiCx33lfoF369vHwkYofAaQj1XQH0dRxFd5U4epi5h7TU/+58GnzOHjRgIfDOlcDpAuflz4uAJ+9DeenNqK98m2aHi/eAwQ8uv5L+tvci9eLi4AhV+YHY1D3agHxIiICws9ugtzJp7B+mhBa+EjIRnD4EV+YEjG3JJQcQ8PeF/gwWLwlOzKaxdO/+Uiy5nEp6oVpx06rUPfwC+IgTyBj8BjhpyE8QUeljgPhmjHj4AQy56zZ5iqfXjvy+HCxecD0SIiJx6wfv4aPvDxGjfc4y6kkVcfNL0t8cpJQXK5JRkUU3VLd29NJw8MsgCSpqlIYOc2eUUI8MbRUH/eNU+HsVC92FQt/psL00PEO8WF1W4N83kHrcxUzNfHcRcIxJmbMRW0QP9ZZqaTG/dQ2w6M/kyADBGplhUD83gTKVpQ+oI8GatP6HITQz6XifHijNoQWonUm/sxEfB2AF09faJ285i0waCY5jvnNHlBSheA0UlbM3/CXvw2RMwLC0neQEtUUR65YHsGs40qMfQ8Ftf4YS4akD5ORGg1eYpqZDdvwbtI3VcX/xZmDZxVLKN1dQ/BJr+HpfaG1xrVbHzkiKVPYN0X4PS5RkMWaz9LcWkbAlTr0NIO5AgFP3mxfuo0XWr5dKFwA5aFr1dZ+RnLvIDnJmhH8DXxHbNKWFOv5aG1IHXSm9l9VX2DARGHecudc8p47sXWapNNSPU+1t70L9JqF8w14vYQqH5cxvgaYkijgDHF2f560A/nknKZiZvOjp2U0cG7E2DgDxjeAs9F1jColrkTpHgzSpVV8evlNqw7t0Cd2HDz0Koz5W3bETwriJQ3MMpv88G8O7eXh9bUACo11wM9PqVbwduGiZ9NjaR9fscfq+Q4JtOWMR0wyE94YkxsYOHaW5/bfGSUN+ghg49hYUz/0QnE4Hg80qkF+6ZTXeZEcU3rzyGowbNBjPvLsTT7y+DW5TF3D5kpD7TZgheMY/MBPKxJoYqxSWUquWXAUQfQpjyMWat8sspXZFsBee3gf7YAfiz8+Qa2qLC7WW7rA+QGQstgc7oKe6dFyTPCUeCgvekP6OaZPq2ULUqht2CMjfr35fhGJAjEggYyOqnjCKJEP1a/OQlyZYoYdVZwOrhJGoysWI/d1EklZYN1CZgc46jelHoiPRrlHDjGlBoEd4vjlO6stvjwIaEhFrvxQGqzodnBr1gLpLwehDbhHjFG4cr/686gyqk1v7yIk5KDBqGzXIlv1BLKPsHi7bHFWYT+NbxcyKEpGdpBY4ZC8wUZGZUvzMBXuY72300nksHSx/0f4hlML1muR14/5KSLxOKPEAePZ24O6nEVZMi3vKveS0mDPMSJybCbM5FSOKBaUztu4NaPfeJ9ZL2QFxnGYWk97fLXQfBDh11wULoy90mUtwNsImd1PHiU9PLPDqfoa8KGWYLS4EvE7g/C/hHaahkT42BMnznG+oDVTEyO3APU8DRh8qmq+Dr1cj08Ksh+F5wjG2xQI+PbyxgtTywArZWwwJ0ITOJDfCDfXvANtGIvyCXnLQPppPEtZzPkbUpAQ5M//aN6CJ45VJRAjXVHi24ncWdevtPZR1VCA5+4oT2/9/GScN+X8AncGA7MvmUS3cJI9qw8xmPDNnLq6amY/PfzyCq/+2GrWNoUllkcOYBSNNYQz1fvIoL1tMi5vGglW1k1GXE9NySxUjCYu3I/2xZIrkDF7kPkuLvjFGIdpxLIXqcqECeb1PHSUAZGQ4qCduKaFMsXY4aJETFh7e3gWcs0pNwmONq6NdeiymjDeMFwg3kJPqWIgzrA/mAjWp6lQ225tt7ZMMOEv2ao6lKPqF28jxWn4Bdiy+gtLU4uANsVVFK0J85UbsnbcGO6atlC/sHA8czIentQdN5Svk73G0o7v+sDT5jIEtnDF0qbXa37spgdLjZdlUGjiBzKQK27Vb3vRmM7HDxXQ/O30PoCj2q+kURU3/QnHw8hZMS7bi2m5M1G6xao+S94MDoYWWlIhtBYbugyGWx4gj6Ui4LhLFu4eh8ItcGGPE88UBe4YC710mf+/LN8ofZ5UD6dXyY4xsBwpKKBU97RspQxWKxa/EaEEvoHAvlRcA4o3MXI7eaX+l2n5PODmAnZGhpy4qeQhiu6vJiy6X1O0x/PX5dJxZR6DCGT+QzHIqk21RkO5a2r5Wvy+9msqOmUfRs8VDXIuqdCoxmLywReTIyl6GKBPCMrVneQcMcoKdp7MNWD8B3euddC4BcoAMPrQvSgQ+m6W5HxmyKoJBR/Yr/YjzCKWn+FFj6TEPyrKJ948+QJnLKaspoydmHQwaQlG/A04a8v8QkYO0JwNFDxuCQZfPwU1zh+PVhQtQ19yDS/+yCut8crUuQ04rBlx7JngrQ3Bqj5Ybc7F2zIFS7RpCID4vI+fpNsMRPlV9UBzQd6QpOAEsbBDtxxhlxrAPJyPp+kSKLIxeWWQQEztTvh+RaKKsF4pjKqPbKUuRwhiVs1fS/2fJI4EYx0UUCX96EaXAAHjDhTpvTCtF3RGdtDhqHQNAxjjAqRcuLYeiNZpuwj1FNNNYmYJnCWPxzcCML6jOyGLfUPnktfZo6cYWe+e7Iog8xkOQqrQKURUf2kFy2oCucOwvnYr6nV/KSU6RnShb/ZRmKpzjhO+QUivxGbTw6MP0vb0mVXnghMCI2eh2ng4Y6HMTxo5GXtwq4Puz6MnsCjW7/jWhpYhNo9/witw5m/2x/D1i9KvjSeFtEKP01RpL3RRa6nz94bVrg7+/39cLTsfB7+tCICBPh/sCLcBijaiqKlPSJbf20TWiD8hVyL6dRryIledI16nScRInj43fQNEhq3XOQWhZbAdiW2GY+TOli0/9mYh7snPHabdDaTlqiutuPwZhBzh0G1erJyGKSBGEg3KFDhwNYl3do4pyl9lJZZEh+4HYVvDHGL3/w7nAllPRVymX9eU9AXRubSHjr/NRmY39Dv+6Tfr7H/fRuFW2JdVjlKRZAXXni4D8ZYPBxfRSF8WML5D1Qib0xSFaaAFg1wgUzHgSjlzBWd52Cun1i2vCV+cBf3uEhq1smEiEyz8QJw35r0DKWZNlj43hdgy4aCYcg/JQfPF7uO7eN7Br9z6kJdhxp2cOXvA8CB9PEbzvcAwCkVUo23+7tIPmOElmEJDS6qznvU1RF2aJRhPXoeMo07IEnmq+Pj3cbe0Y/sm5GPHpebK3GyJNSL5iAHn7HGQ3UXr63QgLo3R7fMJcKb194yuy+mLkICaNH9Mmve70NcC894G/309T2RztwbS9oWkoGTo2ghaJYWLPblQH1dlZprZgAEwxkbTgezSiMa1Wm73DqZdUxOoz5c8rSTQWt2ScRbjN8tosAJQpiDo+A52v+mSKKjuipHa//tATTkRDDiQPOrCcCIta74trgs5mQF+b4PRZXZQCffhvoffvYyJOFmJWY1A/ixqjqhfYn4a0086DKSoK5uho2IyKfnJOY19jFfXly5dIdXV7NyLuUUykG62YAAdAZaHEFqcQCzeL+Ec7ZIOIvJ5meD3t2LN5Osr3S45HwBuAq6kfreycUqoTF+2hc3woR83Ufu16ml3eIhhZZbZgxhfE5NcH6DyzOvoizv0aOP9L+NpcQGe0XMJZRHO8LN1vtAif18H0fgOa59Vd5QUq01H+wzPSxllMfVl0xEUi7oT1Ms1zANoOw+vX91+T/v4s6h8fTdwJW24E/L3C+fPrAZfgqLBOtsUNXPUW/S2O9GWzWU6rnA+g4zWvCesgKwpWZAB+I9AZiYrHtuHw1tuBWyWxmdz35feyJVLIlka3SuuU20p18gOF8vXBbcHAy2eE/u6/MU4a8l+BxPFjUfzoQyh+9CHkXHMVcq+/RvWarOwcvPHwFFw0JRuLff/CAvcU1AQqgL/fj6ptlIrUJwiLzIFCuZSneOOyaVWxzilCllKVFIYAkFSjjgfao+FqaYXOqAdnOM4p/2iutDedCVFRVLuPjp4mf92r0nSn6AlpcMzXqKtb3EBcG7Fvx/xEPbqCRnnjaVPUdeRoqn1HFTEpYx1P+zn9B3IEBHhaO6jWqzW8hBN6hE1uYCxDAisfrH6tiOa440d5vE5NgmEfu0y02GhNQDsRdEUGF0hTlh6GuBD7aY5HoCQVB7/+Kzz+OopKkmuB4buBzy4goY4TwejNwO3/IsOSXC8ZdbGOyMqvMtC1pWDI7X8Gp9fB2ypn9g6fvVje8qbAoPfjkRu7QiqF2HsQ23gHvbfNCjx3K3V8KPkgWRXQhJIEGd0qY6sb4nn4RyvqwjyPvVso29TdsQM15S8AAMru2IvSuccRV+JAUWdbNDlfysFBIp69U9vYxbVImviANI9cdFa5AJ1PdnBHTzi9TtkdwHREeAu/hcNxmvo1Wo4gD/m9YHIDBUwt/P6/UxbE5EESHkKeebNUguMBlGUBjz+o/b3FYwqV9geAumTYiowYvJBxrJcx0qZGD2UInRZg4zjtDgvxt/1pnPo50ZgLWQRboQWdmzrRXrqL0uMrhbXs0b8BH1wKxDYjboEFYQU22PLE3505eWz5Ue+Xd6IwcGQVam7/PXDSkP+XYE9PhSlCm5VpNulx/4KRWDj9ctQEKnCJfyQ+L9kcZH36771f833Bm9umMJJ6r7QY6Hhi84res8sstVsxPazezuOIv4jYIY/44xPmIb/gQ4SFKchzsa1BYRN/VwADhz8A26Uhojodrx4M0hcGvHGtfFtpDuA2IfWisfLtM76AKYeXFqW0agQjy20aYyk5AGd/C4z6GcjWqP9pwWOWJHSzyoGlzMLCthUpI47SHBoA4ddJc637I18dDz12wNaLnNFPwedSGClROeuJvwQ3VbTeQK1xP58K/HgaRWQGvzb5kC0V5B2goSd+vRSB5ZdQ9JNeTTXaEbvUER6AjpUu8D4engYf9hZLjuSIiz+ATm9UkZlYRIyzIszEGL+ADkdup7KGzsxJ44OVv7OO124nY3vv44R0d2Rn0Cnz6RrQWk9lrZQBNwAAyvbfI9tFUx11a/TsVZdkilaOhSEpIJVrjmYC6ybK1BkzXgw9N10Tom47QJFeYyIZvuxyqlf32NVCPF2RUGVTROEoAWH2obIhMEXzXkNcnFQ3NuqECFOpU591VG6sRLGl+iTE43bYwBjcdgfw0SXqYxHx/G00vlTJMWDBAXG39UEfZkDEKQK3ZL9AtOVBLX8bJ1BmI6DvX8yGsbdDvhkqPdDxdB8YvOg71I2Ku8pxbNcyuS47czytq8mBy/twMPECbH0ou+kIAs4A9CbmHvAaYd95t/T4XiarcQIt7r8VThry3wHDZ70LR+oo3Lrk7zhQsxeFgx14/LVtuOdfm9DR7ZZ76CzE/kqPCbkvMWpwn10kI9lEjk2kqJWHnOjG3rBa9TQGKVcx4y1XTw561BzHwWolPkBRzhYMyxFaikyeYM+2vzMAjuPkrVjhHcAihZwoD+Avj4c+iOYEoDwbB6rPl1qmBHj66ihNOPgwpd2Ph8R6YKAQWZ6zggRKjgcx3c7zEiM+vRL2kexCLSxgE9ZJmw7nkpKXiP4MORtBPnubXGwHAL45D3C0w2iIhs5IKe2YrAlIPWW+NJebGWjjLBMMTEss1e9fFzIl8RojRln53OpM4hhUZVLksvhyaoWLbaGWo4ID1D+toSrWufMYdmZXY99ohldQeBCcIGoUPl/N5gWA+AV0DnivQu0LwOE9t8DlrEX6qVeQU9SrYRy1SGNsxCl2W+h46rBwtFMNW2jjtNnpfvJ51SplgYDaSbBethdN3lfhq9dRGnXVWfQb1yfLyg1NFV+RlKsSCoPJ3S6QAUUbyEatVQOkxydK3gMoWhe6BhIS5iE2RWqX1BvNSEu7E+ER5OymhAtlhFrFAJ+uEOp6PgP0UJyHTrVjp8KG49eLq77/GDuevRN9jnXyJ7RG3GoNZRGPg8mIGSI1OgMEXhDv65/lGehTcG/6wtC1qRu7xuyD/5WLpOf2DUHPcuaeaJV+j51jdqJ5OaM18jvipCH/HaAzmJA1/nZYIlKQmpqK15+4GLfOL8KGnXWYe89KbNwVIp0n3tBfTUfYAOYG6nTQzdgdBpRmw2QXLuZDCm3pE7npBAQimaG+XWMAACAASURBVCjh23OAe55G01fyqE6vD4dBH4GinJ/pBhHGEx57im40W/tZlBGw9AHvLAD2DA+yOQHQMQc0brYZy4HbhFrVhokI+DrVc6MhfJ4YOUQpSDrnfo28h2ah8J4bkH3lbMDeB1h7KZXWZzsxRbGuSKqBH2ayDyYvIoriJA1usf6mXAwBKTrQiGIR1UbORUQ3GfOkY2QUOhwSAUrEK38C7+XBC8N4Uk+Zh8jkIZQ6f/ou4IfJwZ54vkJQyFJyBfpTwBIZ+XuGAn99VEpz/3AmHV9sG3EdvlIM6hAjSbHVioFhglTnTj1ngubHCvQQdH7LHJtwPnueGI/yx7YiLC4L+uqR6jdf87qstAJAIskNrAAueY/6uFnJ3/wDgJ4P6tMbjCGmxgHYtXGKapsz8VvUbflS2hCi915vEtKxPj05IT49XXdse+T898B36YgUFdCTyI6yw0K8bkJNtwuFraOBlhj0cJvRhz0AgKGzFwEAOJ0BPi85Vr1dhwX2teJaEfvfH3qU/omI6AIHcp44zgKrKU/tpJ6zArjrqeMfY+5BKaMEBLOGvh7Gsd04Tvu7h+pP5yGrl3cGViJs4ZfUZvhLMXSP9Hc/4kyoyO63ldDbfHwp3N8CJw35H4BhM17AZefl4t3Hz0SE3Yzbnl6Pv7mvRScvGKchjKJTqNnRn8ymyHzLWDR/2kgLyDZJjKBomXph0gIf4NG05WfUb1RPRat5pUTjHYyameIGa74hjyJKdsE7lkzGL6JTHhGyuOgTGRkJTqsUdbJKeOKkMkAtyLD2NDRt2AFzlAO2LFoQDRF26hcPJS0a10QpUzZl67LIpXOPDkBrxQaJ1BScy60hdCOy1ZULwZmrKG0qRhbRbcQy50Bs7uR6eX3eGYZdM7/DoMl3IirzVPQecELPCynIzwS2/w9TpFIAAKyREy+h44GZn6mJP7M/lqLYd6+i/0VDziAyebicyJVU169zkHbWVLR8U48dk9bj2PMac7wBWAbSb1f3JPN7i33YpTlwr8gGz/PwLxd64sU2xL88LjgYLUBCA6xvvEgEyjPWUpvUGWuAU7aTg2TvAQYdpml3bHraY4ROF0KyVQuzlpKxaUyk4UGAxNxW2JWelVYanBLQ0/URUOjJX/yR/PoGtGvXTYyD5A1tLDSxezhKMRF9eym17jJI90pqKjG/bbYc7WyReJ4V/ex23xkAgADvAc+7EGmZAvykKHvFtJIj8JC2xnjuY+cCYzbR9cgS+6rSaW1jS26bxodujxy9ma4V9t5kApXs11NwpP069MZ9Tp9z5Vva+4nXvjYR0QWePwFd/f7gNSL+khBN8b8xThryPxA5mVF47+9n4ZoLC/CtfynmOEdibcoiql2KYKLsmDMZQZNeG9WZ/Tpg81jgM7kUoT7sxHpXO0vLULNCQyRCQFeJ9oVvNmWqN4rpxnWnSduWXty/GMb3k4UaHbOwOW2UPp/xBZAusJstQq96RiU9blOUCjxmtG6iGn17F30fn7+ZDK7SGSrYR+1tRh8Q3iOXbvUagRQmZTzwCNyeKjU7OWQrmZXIbr02qU0mpp1qn0V7aI53fLNaq96q7s+3J+SifeEAlD+wDXsvWSM33ADw3VlSW50W9Dy127D1cqMv9EhGgAzI3+9HctQdSLxIyEz49EQ4CuVUAnBuN6PqKYrKu7aoS0W5yxMRd3k4Otu2wrmHDjj1ZQXJCoCrglnsT/8RuONZ4NRtlD6euB6YsIEyJGJtvGgP6YCP/YmMvSiNbHVBdpKevRPNy0Is4t12oELRU8xKbYotWLwwerQvTDK0fh2w/zgkpxMpBQHytiqNrAcAxKXN1NwOHlQSE1CqH43DIAfNYssEeKCldblcutjkpnKEU8MpbY5DT1U19u45F7ur6ft1dW6TS7jOf49+a45Xy+YCsD34AwJJh7WlTnvtxC9RQkMGGQDdNxa3NEFPgbbtguPiMVNk//mFcqMPAItuhi0hU3v/20eioekNBAIuoCSEFv0JgP9jAvKThvyPQkQiETNMRj1umD0Ei/8yAzGpPtxVdh/uX/0GOmOExddlDRq5jNtYiUxOet6vC7LBAcA+JAaNy0LIZipQ8QHTw5tdpnq+7K0lcLera4o5mYJaXeE+AEDAF6INqCKbas5fn69+7qZFJBLDgSRhq9KpVisy0X164OdTaJqWEP0PHfs5TNmBfmeHuz2K7/7JbPnj9hi5nGYEQ3LymOU1ueG7yPiJ8rVAMDIzpGh48B1RQr+vcH4yNMh2bpNa933kNtXL2tYoSi5VGfLHAT219JQoOhlcZvp9nBZql3F0Sova4stp1vTW0SQq4lREqZd8AGwdjSML+tCwqEuqV7usckOjQMMSBblO5AJc/SaKKzMQNtwMTsehqvSpoAyu6dwS4LB8MS+ZzUwOHHgEtlTB4UlspKh78hoE+gxUprD1wmijTIVl8UJ6nU8fklXcsUbuYBhM0RgycjnxRyoUuhChHDUxLS1G+y6rdnZGRH8jhkUVOEE3X8ULSK2hCYAAEOCQkn090nNugt6oUSbyGeTKhSX56CltwE5Ysc+XAXQ60FujEA0yeeg+EImFHiM5eIxj6PU2ge8lp6XvGUXmJqmeSkYciGSn0JrvaylDKU4L/VsavHS+WN7IGnUmMfPseZI+RiiNc7PgSLhMlBUEyBlzdMgMet/hPvpdRcdj4b3C+6yo2/Qtdj/3OJChrf5mSlJcVxp6FZ4ObX7Ib42ThvwPQvakexEWOxiJedORM+UR5AwxYvGTk3HD7CH4sXIX5vROwBe+dxHgAwAMKPnTT2j45AgGPjhcHRl5jTKGes8WF2pfpIvRUSils8tZo60FJbMcAHwG7P/Xi6rNRoOcbborW2O8qgiW/MLehxlV8ptcjORXCO0ha0+nurUg1ZmV9iL8/k54TIfkaVMmNV696ms0tS1mjl/xW7E96QBJjOoVBllcTM74QVo4WtUz4n2BBlqECjWGW4iI7pCi38Z4+v5bxgDLLwIOMAbY0amqAde+pRiHq2w9FLGPYeuKdcP2aHmJI0lYZEsKZE4fPGaJx+C0BH9Xd1mA9sVyCxLr6fd0WsgJGLUFuPATKlEoFmvb6b3EgO+MxI5pK7Fj2kr4vJ3wHgoP9v0eKfmLun+fbd0z+NGXxVyzybUADzR3vUXRWXwzHIPpN3HtF+rTbkvIDJDf5Ud83Pwge39g3sPY98nt5FiJ5YXUGuD8LzXfr0KoNC2LKavFL6Z+ztYHGN3SZDslK9/qQkz4HAwe8QzQkIRj60mIqWjSZ9Iue210fSlbORuSgOoM8HABmzQ4C0YPI1ojtMB10sxtY6eiQ0XkXzB8l/xHZ1LWQ8xcmN3A+YxQlODgq8AabUc7ReVKx0s0yvWJSC++ATH5IxEzgrn2bQon3tqH9sXCMT7yiPozWa5CUxRxEe5/Erj+3/JswSs3gl95mtQffv4XMs7F4DcYZ8/iJGeZC8iyiR1l6mDo98BJQ/4HgeN0yJ3yCFKGzYM9djAMFgcMBh2uubAA7z85FXn5eXjMcyOuc09F+WYrnDv1qHvxGNq/b5cxZgHQwiVE5uZUxquvS0LHUgtFbCX56Nxfgdatpeit+gXMSiH95enqUkXmeQM/I0LR8cCuYTxHdW97N7U7BTgyDgcYol6fjTzr2hSKxjsdQLcd/l4dDuxnomtBcpY1Is2bdkkRfUMC8D0j/GLtU89VTq+hqCJSzYxNnXamahuBk/6L6Fan+dk65P5Cib3cHSHX8N4idSIMnfMCZSeYxdzX3g/pJhRCKbcpWxhZiNeTZssTg52nUNQovq7XDry9QLN23rfXTU4Q43xUHnoWeFLRaqkU3WGQUMBoF3RGAM/eBRzMkzlezbXLJSe2v8gYgL/bi+adP1MEzgPhkUIbHHuNjN9IpQ8WPr1265vSKdSCOCMhTJ5eN8dHwRFxpuQoOtopfcxEtTFhs5AZ+xQCGqdu6ISPiJPR6SBZYGWGR4QoHayErU+6b/wGxBoWBJ/yelvkr9Ugf1mTY6DjmLWGCxC355rXafTv+BD67clMhqJFKB9EK4irn18I5JYAu4ej+vEqNH5Wjfr3KwEAUdPCgQcUxlrMri1VZN7YY2PRE05dDaIDJUbsPMjIe41AajX1qAvdM2kPJMGcYpIcEXFQj8EvyxK0vxH6ev4tcdKQ/3+CoTNeQsG0ZwEAWWmRWLduHR4yvYyjgcOY7xqL58teh9PvRPuafoywXw9bKmNUFAxQQ5gDle+swaGFlCb2e+QFnaF33ykZNDZt1O7AvqefV0XmNkvOielIs0McAjpiRI/eirCYHGDhfcDcj4F/SL3RWDMZ2DiR/v9iJgmU/HgGKl9eT4uqeN8IrSUqHMqjenJtmlywZdo3spsu5hEhBX/Bcs3BHwn5U4HTflRt54y8OrXPLupsVNkRRd67S1CFY0c2FuxH0tAZ0BktMFoFoxnTqhY5USDqshCLdmQ7QuYxjycS859osItiHIdztd/fIV/UupsPqB2NKeoRmeIBRQxmMgqNAolo7zAaGFKSR5mBA/nq0gILTu5k8G1k7IePXw2fWzCujQxfQcvhiWrTNpSHFJ8b3Qrc/iw5t0W7KCMhRq2ss2Nxwm3dBb/LJbWRGr0U+ep4Ov8cj77NFrSUr0fb0c1QQq9nMiW8vLQmG7e8i+kBZ6G4TFqaPpceeA2SgqHTIp+pzqAwhbk3jmTRdWDw03cWBX267fR9xEFHBr/6XjN51U7R29KY39pXStFXSutR+xnXhZ5wKKbUlVCOFlXeX7eQIFAwM+Cy0jXRFUnfacGbiJ8tOB1WFxDVBsu4Hs2RqjruP5y29ivxqww5x3GzOY47wHFcgOO4kYrn7uc4rpzjuMMcx01ltp8tbCvnOO4+9V7/b4LjdLBEJGHozFcwdOa/odPpcOnl5+BT606cp5+PJe1vYtb2y7G2ZYM0PtCoYFZwPPTW0IQkX438dDdulKQzix68F3vvWUwp3tQaubRjRTYJxfh14P1y7zb++n4uXPHmbJSYnKZIKULou+VqYKf2QA6ZYWAnPX1/ZsjxrgCkm1Q0mOnCWNJrXwMGMUIl0a1o7WRkKc8OQfjTIOrorCZ19MrW2ZXKbofzyKlQphAPFCKp8AIMn0eDb0yxdoo2FYQeY4z8swbOm46CN8aqtoec+33pEiKMKQl7si/1K9UstOrSe4pkDwNOpyRWtHwmtdKVFJLhiVFEgXFNKDvPRxwJQN5a+cF84MsZJD7y3VRg54jQjkiPIkJaTWUTV2c9qra8rSZXMacuYsAgILOSzomOP+5vFDEylrTSz/yeCHgGH71v8eUSRyS+ker9Tiu6S2sksRPRkANkIHgOzvYaVP30psyQNx78Dg37vsauDxRiSiJyS1SDnFQQ+u1NpkT1c59cBLx5DRnSrnDg3SuB5+5AhFma4RB3BjkwRj1TbnJJJY2o6LMl8mZDIqlPsreEspQFqKPyUC14Oj91gJwILlsCTF0JmnMgfKbBq2pFNYiiRjLDLBxwrx1wWuB3ksPFGTnoo3RIuj5K4jRc/FEwYzPgSQWP5XfCr43I9wO4EMB6diPHcfkA5gIoAHA2gJc5jtNzHKcH8BKAcwDkA5gnvPYkBBgtDhgtFJ3FnZ8KBxeLh8wv443wb2DXh+Gukgdx0747Ud57RO0RBnRo+bpBY68CmqUbL+D1o36toAbn08tVifQBeU1YxK4RqF65Cs7GJvQ10OdETO1HilGc4LR+EuDXofjRhzDoMknxKThUQQsNTBvHO1dL9TmvSbuFJryLHAelapXY8hbZSQ5B8TYYovSkH71sFnB4MPXNs3PHASRflwkAGJ50FJHnCr+zUDvleY2UqsFHRj++EcjTbtvTOu59c7fCL4hRDFkoiPkoCD0Fr0kko4F/oVGiluRIDF1yhnxnIaRhC+c9iajMUzGsiiGrWZxypnFHiBTsiUJUFtQagSviRWbWusUt1bJNXrVTKkZdL95MEaFyNKcIj5myQsrzHgoCWe3g1w/BFBZD8821kF6Fbo6WNZtFHO/rAu74J5E326JUzgOXJmgNRLdRxia5DkNOZUiSyXVSBP7JbCoreIWJdEav5Az143DVbnufFMpCIHx4LEwR/Ys/Qe8D1k2E3SRkVLrtwux0nXy4zQfzpb+rpfsx/RKpJBRuEdrRGF6C0RSDRINQQvEZ6Ho2udXnmIXJe/zpiQCwq5haSj+fQW2r781Xvya9ijIizbFE0ORA3QwGL90jg+XckyT7rfSHlggRAHx/FnZPXwu/0w/ey8OSaoEhwJTIrE5ylmObYUr8hW2D/yX8KkPO8/xBnucPazw1A8BHPM+7eZ4/CqAcwCjhXznP80d4nvcA+Eh47UloIHyctDgV+U/D+8PfwF1Zt+Bgz2FcsmMB/nH0n+jwMgQ1jVSPDMxNWv62sMDwANqjsfuaZRotSer9tSzuRslLr+Lgy6+js7QM4APAw38F4hTEn4xK4CwpbcrtnAB3jRelF7SGTNXJ8L1iihubkhWPc9JaEpPJLqdRmYA8xchC76d6f30KfNYaknb1GyRpSEA2Aa2r8GkAgI4zwWLMpYXhlJ+BM35A4LYn1PvnAMeVncAZP8JojZZHb+LPKBin8Iukery32YM9M9SpU9mhWw0oXnEOilecg6jx8igqcpRwTmNatDMVUW0whcVg4MQbYbAzEbzZoz0m1NpHPf+sQR62W/06JTKqgLuepsVVhFJ4hJE1VQ2fUR0Lcy3WpmkfKwut4TmhEOAAr0GuRAhI+g0WJ6DjwQeofNLXJmRyZi2jtrd9w+iY9g2lfdl6kXRtMpJmCjGJjidtAIMfRhPjrH47lb4Xe6w94WTAqzLJsHuMCLeO++V95AIGG1cit+gVZBc9LjOcIyZ/i6GnLYN1cATNcziYj7Yv2xBVdS/w/qXAO1epOghYdL2mHWkOTvgAg6KXyrb5Ax1wdwkBhWgcYxRsbqWgE0As/v6Mfa7AqSnJp8vj8iXUPqrEwCOUTu8Lk7fbcTzd8yN2yF7usE4FDMfvG9s9nUoJvQe7UTaXUU7U+YBvzgc44NibJ5gt+C/jt6qRpwBge4BqhW2htqvAcdx1HMdt5zhue3PzHyN790dDr8gKGvxWzE25CMtHfoCLDNfi04rvceG2+fjo2CfwBXwnNAlKRHdlORnUIwPpxqhNU6uVZVSr39gTHpQ7dTY0IcxWBBzJBk7dQsSevBJSSco7iOgwSeeZP5iB/RPq4G3kae75L8XG8VJUvlGIUK1OyBZ8kbSl5SicyBwTUdb0xpfQ07sTARePro1OhLWcR9ryyQ3AJR/S76Ig0DiGZ8CYSBbb29UjNzxitChEXKnnyyNp3iPtK+k8eTr6eMh+eCRiLraTYW7SEKOIbUXHTqk1LGuZRRJa0QdgHaKIZA0++q2YqDDzIaau/8UMKdPCwmuCxVNMbHy23unTk9HuCpcPU/lQoXkdMMg1yNma8iN/lUalhoJS9Ecc/AIAdiHS8xqI5f321cDHF6PxgGL2+yihBTBR7pTaIKT3rU5KPbM4lAtwgN6mR1iEnO1ts+eg6u0N0oaOKJrtvkU5H4C5OFdNhWtzFGlDKP3oPqvq2rZFqw2s0eRAZOypQUcqNnciOE4Po8EBp2GLNJmtNAftK5lAYP3xpVUx7RvVprKK62SPvb5mREUr2shO+xG6KCblP0nNPUFkFzlAWkivomt8+0j6bcqygfXExjc987z8tWybJDtUSrwP/30jBmb8EwAQGzMLOi4MeOpe7c89EXwmkezMqf+fziPnOG41x3H7Nf71F0lrLZt8P9vVG3n+NZ7nR/I8PzIuTiPN+38AnJGTp5sEQ+DozMK9pmfxgWULcu2D8UzFIszbeTU21u2l+rlCuz1uhkIKsjqNVJQ2TpC3KPWEk1FvO45EZDm1YbSXHIRBH0mLy7E0uhE5UL2YAzp2aAzuED9HiGSCMHipv1hr2AdAohVs9AxQmsziorYuNsITU9idEXR1uczAdyegdGfwE6s6rRboCseu3GqUXdqEI2dEIjlccaMnNch6hLNumoLmD9uBpjiKvG29lL4HpAjsEC30xkh59Bg7XTo/yTOLZcY86VINqVoFzNGKlGBiPTIXpiD6Unp45JUfEPDwqHmkDT3bnLK6f95axXtFsqNgSPXzViJmMjlehqFCxsLsktqLxNr2SzfBsPVs+tvgl5xKt4XY+UrSlUKe1JZnl2qnKTXyaN5n1F4lNLYN/Ww08MYCYPIaaWNBCWVuPGYElyC3BTiWpN6BBvoWC5F2WbY6Fe8zAj49at84hPKHt2PEhLUYciplJRLT5qN9h8IZLh8kF1URIQ6u6bXDK3JZxElmTgtwMBfYfgrdt+yxtTH3C6ddXtAZTeB5H3jeS/cdowCpBevE0KNci6Z/IHvs83XKCa86PwAOVqviujX6Yb50M3DqTuDUzUBiMzB2E90jCfW0zvU3ApUDOUJiZ8LuIsBjRpzpWgwuWCRPl4cassJkLI9sX4iiwk3ISH0Qei6yf95Nf1BMTIybqSHd/DvguIac5/kpPM8Xavz7op+31QJghYlTAdT1s/0kQuGCz4MCGkiqo8WrKhMAkK0rwEsX3IB/FvwdvoAPt+2/FzfsvQ0HOsqCF/awr8ci/Q7FzOzj6Y6zi6ywUNsyEqWUdkID4LSgr66eHIf2KHlLXFsM4DUg0AOMKGNGsLLgOTK49m4i1mVVUJoslAqWSABjDXZEFxn4r88H3rsMnElYyITfB1UZZFT9BvUgB78O6LPQNCfZcQn/v3uFbHOE/nR6rZIP42iHY5oJnhYnMaq/mk6Rn8VNrUyAKu1rcBgxZKm0mLZ8SVFI25om+J1+JM8shimF3lO/eiMCvhMkoolGOKwXMWOyEFkkLSoHz61D09vdaHxVcgxzPk0Ap+MwZD+T+vloHnDJ+8Bli4GmePifvwI9gS0Y0RqJ7K/MsIYNBHwCu3roXiCBoledJwY9+5nWvhOtWQvI++cEpF2fh6SPyoF7n1a/QKj/W7LtlMoENFvt9HY91VtZcZI1k2lcpRLfMu1tL90Iy2AjsibdAdOndwLlZIgcMUwP9r/u1D54oX7f+XMzdv5wFgI+N4onrkPv14kIHI3pN01uulZw9kZvUT/pMQHrJ5LhZZXeQlTQRsx/TXO7wZOCvY3F2NWQCxw4vmpZ2qQQ6nEA9AY5V8HtlspRsXEXAroA7GFFMBjU8wac2AvYOgCzEJkb/HQPpdXSP3FyW2oNsd6HCPrnWuOFBe2EROutOLL9WZp0OP89qlWzZDq220DBIeloopIWx3HArQJzXSu1r/y9H2DkaBXEwsbmN9Xv/x3wW6XWvwQwl+M4M8dxAwAMAvAzgG0ABnEcN4DjOBOIEHeC6gv/NzHsmauQ9QoZw/TLTpOnDAFwJh8mxYzD0pHv4u6sW3GkrxJXbLwT9619FRFvJMEQrlhE+psTzEIceWnvRfyw09G3OAdcCRGtUJ9Cs9MrM7Dzvqe020HKBgNlg9G+IURZxCf0vveEk3Iax6tvGIPGTdiQIL1OH5BpP1t6KOozxzpQfPm71MPNssvZ/W+cQJrlX00H9jOLm19IBYuT0AQcKruMIg+PCehkHCGbE7Yze3D4HqbOfTSLnCGRyS78PvaiSOjDDeB0nIpxvuvsTTj6yCEcuo605eNnJdFipuPRfShEulGAr89DzouoPS2Q5TiddK5dZeqyi72YFmVTCrMM2HuB618D/iYtVscCD4LTcQiLyEZ+8dvynQiRe6BbeV31c52FmPsePyMT8dn9p9DDc+OAbiELpPyMqd9CZ2YcCFHO90QQ3gP3C+eg4k918JQZqYQAUNr1eFCUpA5svgq9XYfRuExQ9QvRLmW9ZhfCwoS6tJb2eigBICHjFJ5UgLA4SaSE02l/TkzyWfAFWoik2V/nggDVcJmzV4Z8bUeHNPDHZssBOKCx+T0YDOqpeQDkYj0iJ8XqpAFHYoZLHyCnvvAAcS/iWtT7AYCqNNQd+BR9TZVCOYhX/9asUWeFYeqSUDndAXetC7yPeU26RjlROZb3bkrLq66vmcvR2v619rH+xvi17WcXcBxXC2AMgG84jlsFADzPHwCwFEAJgG8B3MTzvJ/neR+APwNYBeAggKXCa08iBAxhZpjjaMGtvsqApPOkSE4X48aQv18KFB6CUWfExSkX4vNTPsS1WfOxqXI/8vPzceONN6KhoQG24cIFfihP62Pk8BipzUsw+k0v0IXOtyoi+ZY48ox7QrA9ARx95JCMRBYEI4k57OMpRFLzmKgOKGJQGXnnAEX5fh1QORDYO5SmSP3pFeBTqQ7vK6XFI2aYkJp22ijtLpYKqtOAioHAkQFk1EUxErEFrjUauPs5YI4GK1jUOe+KlEthjt+Auu7H4alQL6LZie/SHwcKgXWT0LO7E/5uoY3FwGHAX6WWqoCTDKKr2ond5/6E9pVdwQW764BCWpNBwO1D0/f7ZW1UhU/SSFVXncb4RwHWXHnbVeQ5iuNnnJ4eXtaUAl0Ys2yEstdNcUBLDNU0lQil+gXAYAjH8PEaveV+PZBYj+aPBR6DlnFkRVeyKkhe9xeA72AifCGj4OulKDF+uqIWPZ1JSLYLjP9uO/DoQ0BTHA59/Yjsef1AtTaA3TEY7Q1MrVhLdEYDQy58HjlnP4DBZ96DrNNvBafTI+v0W1WvSxh2NpBaB5Oeieb7m+wlwJLkgH0wQ6qMayKVwwnr0dYmPzcN9dJwEpezEgDg98uvu2IN+WEAiM4SuC5BVjljUO3dmkJDMlQNQOtrnLxVjc3S+HXybMjk1dLfi24BAByYW4LqpxjjraU7v0tYHzxG4JbnmM/PhK5AKm3ETk9HYW5/ierfDr+Wtb6c5/lUnufNPM8n8Dw/lXnuCZ7ns3iez+F5fiWzfQXP84OF5zTovyehhI65NuuvkhYUQ6Qepmg7il+6DgmXpgBd4QgzRpGNFAAAIABJREFU2HB90Ux8fsmjuO666/D6668jOzsbr1V9gG5f/0IjQewdRpHyuhMgvwDq2pYqsmaijTA1y1Q0YlQL1ZEXnlEF6CEXcxDrY+yNy2hDe49xQHUa6lavxY5pK4X6uFUy2OtOl7gBSt3wTWNIUOJIiFLAFYuBewU9b0FKNjwrk6KGEChvuCLkcwAQPVl7MIa/x4feXR5iF3fb4e0J3ZZT85Ga8e45aoS72ovwXKZEohDcyPtaXh+OuL4WCW8xkYdiQdvB1KwDPobRrqF5b0z3A9UZ2rVgQDYJzBBlQtEn8uxH93aNiN1nkGrGgKYQUUTSSBy5upeGDhn8/eucs3hSQ84ioAe+PB9dd58ObB4DHadwYisz5JK6AY44HPuGAje9TKNmGfg3qhnhzbVfyR5HXBki8lTCp4M9noiDRksERlz6FhxpauGX1Lg7UZx7AC19H9EGHtqGCgBOlzgFHMch4wpW1pUDUo8BA47i6JEHAAC1tYuwY/spSEiU2kndbonH7PN1YvDgfyMpaQFCITPzQaSecR6ls8XzWbQLGLobmL+YDDxLgAyFHuZedpukrGNdMjndBfuIET/1W9VbeXcALcuZ3z3vYIgP4YkF/+jD0qaBFUi7kcqW0bPMyEj7FYS5X4mTym7/A9BZNcIekxu8Vzp93LE0oDQH9txYILYFMbYIvPTSSygpKcG0adPw3OcvYfrPc/FG1WL0+ISFklmIilYw4wnF1iMtNStlTRkIGmpLuuBxKFuB2MOPkBslUwYPX3cItr0yC6hVG6xJl/rjG5NIn110QNiamPK4OxWpv1BGh1VEO5QXnAMOAL48IVLtDpGRsGj0m/9SNCSh3bQE3aX16DpYB94XQOf+WrgaOuGsa0fvUfXiXzqnEfsn1qF3gw2Z0yg6Z52tsJFmcAYO3m4n+AD9yDVLNqHxm92Iijhb/vr6RKAmFXCZsSOsD83vOJGygDFKuoA0qx2AJd2OzLlnh/4+adV0XtwmoDcMOU+PAcDBVSM5B+V3a7DiA/qQE8FERNmmoH25cM2+ebVayliE2SV3bCI7aNyuEiUFQVGbhvsUhtzskRPqWhWaCKWD1S12bIo6V24wiqd8j0GjH9Q+XgX23fsx/M7+26XqDn+Myi2vIcC7UdUh1PaXzgGW0fWQ99eZKHj8IulYTlsbfC/Pe6EzaGRdhPVgx/ZT0NhA8wwaG5YEX5aR+UDw74rK2xAeUYzklBvorRAcxyF7gZgWDBm2AhyngzUmQU5sHFwKzPoMSBBKcsP2SBoFgHZnzs5iyv6sn0hqe+J6IKbSeyLIUXj/MvV7FYi9Rdp/wmVMF4iWQM19C2FNiULx91Mw4HoNPfvfEX9M9/pJ/CIYkzQMudUJeGmh8tQE0LqEotqoMeno2Qo4irPh7+YxaNAgLF26FF9ctQzPfvU8/l31Jj48tgyX5Z2LOYNGwZZUjxEvXgfOoEP+uyNhjDFhT5oQNR/JAgYoJgHtHQZMkupi0Av1bfDIf3ki+so6ceiGflKain5gX/o++DrGh3ixAr1hcjKcaNiVvePVGdQGV8NE10rdcL1fHtVpDdpIq6bvz7J8154mjMnsg9O8jY6hjCET3v4sRQLD9mgqWEVNljoweD6AISuHYt85/QxdAYBVU1G6jlql7Pmx6CnRjtwsA2wY8JdcHDyLenZrHxUctSmAuBoP3Z4KY6we+x/8BO4GYicXvyFFTWG+cWjHt4DTBoduFjrynpF9RvVNPAb9xBhIsXMAAAIcXNU94Az91McTmmTn68C87cG/zalW6CIZAzVhveasdBnSq+h8A/A0uQEIEeeiW4DnbyXdb78eeO8yYWgNRyNlWafw7atIYQ6gMkxlJpBWE7I2G/bPT9ErSomH9VCvdLmCUCp2WAzfKWUg3loAU4oJmXfmo7TmI819D315NvZumkG93f1g981LZOcNAAI+Pw4++jnSLxmL+md6AOhhSHmLMlsAlXgEcDoOlkQHhvzjYnB2Pxpc4Wg6/0sgvgkVbRuQbpefdwDadXwBMfFnw2iUnNye3l3o6zsEm43KR14IPA+zBxhQCZ1wPdotowAwBLFg6p8jZ8tllVT1AnrgyneAVVPl3TaAfPSoy0oDdpTTAgEq1SnfKyD2+y+QFvkXdKeXwzrQitRb0tC4fqtEnmVx6hZAx8NsDpHB+51xMiL/H4E5S744WlKi4G3g0bvDj4r5HngbaGXqWWPE4Nunw9o8HrsTnfC10Pbpb87CswV/x+Lhr6IwIh8v7vsQ099/CO8d+AFODy3E1kwbkeNYD/kHjbatXoXhDOgAA0+EqByHnFQiIr6R6l4K1bLArNfRvTN0LVcGZV2UFRhRSm2GGGUZRKhojcWkdepWFnGOeEMi6Xy3xAGfSHV6DKgExv2kyb63ZoUh8x6pl/pY/SLsKzsNQ1YMVb1WBsYh0TTiQioxenI8bIM1sgPMHHN9JP3+ohEHAD4gnROuU4p6O7Zpj3Msy2UWL71fOi9t0Ui/KR+c0idaEUIDWwF3rRPOA1JddPDdM4ABGmNgWTDjaB0TFYpm8Y2UYjd7gJf+RPrZTQnAy38ColuCeghBIw6QtrbbojbMAjJesMKQ1yxFqcohPEq0yI/Jc8yD8NwkWOzMb8j0hhtNEdAZTcDM5f3vF4DbSdwTnvfD62lHw9e74arrQOkzUn984yMmzTnylmQHAn4XdBE+GM2RSI34K42JzahGp/t77GsZRp0Lly1WvVcLUY5zAFBfdvD4PBI3xgY5V+IYKHrnoCjLCU7hgJiX5ffo+E3Ag49Rl4Q+cHxJ4c3jtLcrpWAZZDgeg46zovDTIch6Ohs+pzP0UCiDD0kJ1wdJfUHZ7D8IJw35/wgK9sgNjzGOVpJDE93o2yFFfu2f+mEflISGp2hb73b6X2Qw54fn4vnCf2Dz5s0YMbIYz238BAMHDsRzzz2Hvr5+5DVZbD9F+ttvAJxWcILb76plZD+Z4QS5H+VgxD5F68ut/wJevQEN74WYne41kKqYSJYz+ORCLKzD0aVQzwmxEKuQ2A8j3GskxyOVOb4OIUW/ezjw6g0kSpFLQyB0s4UFtCWGaqgAqc8l1WHE2rHIf6sYOou0qDY2EwO81ytFpSHR3zohfHe9TQ/er/FC5nzt+tO7aNsmN47Na6U0b5iJ0b5X1HmD0PHAHc9QCYaTPh9lgxF3bgbKzpfXzYsnrcHgVWYkPnJ89SwWFmRJPe8ledJvmi0fFZl2O7WK+ZsVRiG7HDqbjqLiaMZZrEoHVpxP5ZQahnHu6qePWUDsZWZ0vsnoWhxPUc7i1ByCkz/6Dfpj8xjg51Ox/6Xn4Ovrg9/lwvDxq4gbklFFGYf0KtKjV+hD7H9+EZp+LMHODWdg75aZqP86hALfo39DuGmsbBOn0+HQ7puwZzOx8zlOkUXpcKiGEuXmKjoWGESEk8hNeoo03Y7dZza+gQUFGAgiktpBWThfoAUYtZVeVHiA+unfXIDebYro32UGSgdRJwoApBwjDsQJEgSlgwK0biZrodoU1ny3UnPWAgBg03hEC84LAOysT8WOuhQE+P9gYuF/AScN+f8IOI5Dzg+00IRP1KF7Xeg2kkAvYBAMfcAtXbQDHqQ0V9Ll6Rg9ejR+2LAWGzZsQH5+Pm6//XZkZGTgiUefQA8fWhAiiCSGie43gPfR5xyYzzBUEyWiim1ABLydQpQqth8tvTi0vjFArWNxzcA8QYSC40PXnfvbD4u0avljNtXPLgqsMA1LgFHW1j+ZDaykfuTAGUIn5YK3pL7Uiz4D7l+I2rpnZW8LBKTPOlJ1F6DzI35OEhIvZ9J+NzHT5kLoqAMI1o5dVX0ou/T4M7KPvipX1ar5QCLMuY4xEWZkP9dBeI+UXUmTHJ0dl76nGrvZ+pEH4eP1SLnLQYb1BLH3zg/pjwFHqAzSFUnXjuKniJocjaHLxqN0miIL8sItSIi7hrocPrpY2s46gO3RlLFojqXXsajWTsH+IkR0q1q+eks70FtTTUZcgLutDXv+uRC7n/47AGDoaGEamWhMw/rkk9kMXqB8EGre71/eV0RG+CLVNmcvyYk21mp0aYgZLUaqN8xeqH4dAOh94AQxGo7TIyuTlNb8fum9RsSjAPthBe3DCeJB7G0sot9oympk5t4Ph44i+qYNOwGv4PQGOMqmbB0jDeLR8dTDfSLTF5XIVU86dB6RO1u9dcfQtnd3v12UFksmAMDtk9aKI23X//Lj+S/gpCH/H4J9tB4FuywYtMIMa2HoK6xvZyCYaudM0uuiz4xH8bqJSF6QGdw2fvx4rFmzBhs2bMDIkSPx4N8exHnOPLzseQQdPJPGHbELlonMIv/ZRUQq0yK/iTB5iS2aVY6dN76Kffe/R8SomFb6XzmlafZS8rKZyWuRMWORMkQgqfAcGXNHG2AOMelLC+cwUpxKPfoHH5f+Tq5DzrIEitI50GK2vVia5ARQf7xGqhKA4GQw+2fS/U0tH6Cp5WO0tH4Gn78Le0sUs86fux1N42ej/QhDrhvMTKDTaLcyxggGSRCxiLswGd2b+4kIWNJQCFS+uZ7mwL95dVDsRYX9+cAqpt/bwUS77ChJvQ8welD5J2lBH75Sgw/REakmhrFgoyKBxVyweGQw7V72r1Uon6PBdF9yOepnFhDX47G/StuvfV3+uoP5lMFR8iSOqVW6GldLRLysWyeToykiXMPxyS9RzSJvWHoEtatDTNsD4GxuhtGkQa5i27FYA9ZrO+4Y2v0LXwn5XO2RF1F5+ElSbCzPppKD4DDn5ZOOOmciUxHpIM6Cw3GatANFucweRg6R36/ORHCgzGIjngIP+f3v9lcj2SgR5lCXSvdQKKa9FhyKUkdqDSwDzeTAixkNs4eIh+czEiZ9EvO9t+4YDr35qvQcM3Y1cjw58hkPSPX3/U1stuP4ffq/BU4a8v8xWAbrhOg8dI239Bx3cJpZoE99h/M8j9JpLrR+KEWj48ePx8qVK7F80k8YpT8db/uexnnOPPzTcw+aAnUo3jAOOe8zzF5RaGXvMFmbmn0IpVlTbhJY4GaPrI6J2Ba68bVGbuYeBq55ExgppZoTTjkD9U8KN4coveo1A6W56vcD6jRmWDcQ14KkJz3IfDlKkJBlFlyDH8P2ptKNzgEtP1ZLx9sVQZF+2SCZEI8pPMTUNpNHzspXaMrXHHsSVbWPYs/+iapeWxHuSQzxh/XVNFK43lkvQG81IeLUGBgijbBmhiFmDi1IWa/GIWyEIlWsqPfHjFWUH1adBcPOaaRFXpdCpC8tjP+JpuNFtQEzP5MfJ3u56QPB5/ydfLAWn7koApiyGijeTinT6gyqTQNUL/Zz8owII2IUPTYHhf+YA0uGDRlXjwF4wJoYD55ZPyMmKwxyjcIghxqReQKo/Whr8O+mtvfkoiBmDxAvb5cyIBEolLPwO0sr0HsstDZAyb8XwdWq4ELYu8mhSWiQyzbzII6GkjWvRE3/pKzWRqY1qykhqNtvMsUgMm8gTJl0DrKz/4mi4eswMGthyH2Js9J9fnXbpB5SCawSVyPRLvW/x9rmoXWPgihbnxx6GFRatVxcyNonVxS09cJ27V7k3TOX1pyoDkn9sT5ZFW37PeQEy4w4QA51Yj0GLkpF5iMDkPlwJmJnKmTDeQCdEUgKv037WH9jnDTk/6PQ209Moa1zhbrG4znKo3tdAJXXSAu7t5FHzxY/crnheMr8PpZatmOyfiaW+v6NGa4CXHftdahqPwJdhGp3BJ8eAW8A5hQrjDEmJM4JkZYMddiiLjkAZFcEDWdYtgMBp+C5t0dTNNxfLTOmjRTRRJz1PQbMmonkeYPgOEu4iaM66PPOoz5eQ4QeMdMoPd36DbMQi8YzoANOkUoG0fnD5J/pNVDkwPHAq8wAiafuCX2coZDQhIL3RgL3/IMei6nNesaJGr8BuHkRYPKiaNFlMIRZobPSrWyI1ENn4+CYakP0+QpSoiJy6iphyiNuE9AWA9/hSGCrwNIXUr8Dv3JhwLsaEbPVBfw8Ggn/YCL3ECWA3ZmdOPYoRXl6s3D+ojrkEa3TQszqA0Nkzl/KxRJRKmHMKJhjyFA4RmYCG8ej7d58eOslS971g6K+KrRcnTDY64cF09NsTYtGwNoIWN3ABZ9RFmn0FiI6ijDwiIk8H5lz5SNy+Zbjl4EOvPxC8O8BF8yCfrhg+C1uuWFriqd2K8UY3n6RXgVnr4JEuGcosGks8MV02Wa9IQwGgwMBSEZZr7fB7akF/h975x0fRbn9//dsTe89IaRQQgoEoihKE1CxKyqC/epVAdu1XXvv5WK7il3RawFUxF5AwYaN3ntJCCEhIT2bbJnfH8/szszObBIQ7u9+783n9coru9N2dnbmOec553M+x+LFEZbCkIFLdftICttxb91c9tS8jSyLMaix6VfaWxVOigx1e7+g1S3EgWKcY3BY02jfZ0IeDKWdbpHFxCCsVaT6Umr0mhaZu2j1LMViUx072RpaS2PNzIdp2rdKPM/a2nQJGPo7W795HluMjcSTBIGx3VOhktzWDYD3z8ZX1UmE8hCix5D/H0bxanVWnnGnnf7fGg1c3XtGQ+4LmgzXvO5hZV4bG8a20/KbGBAHnVDIvc6X+TBsJafZLmLmqzPp168fDx51Iau8vxmOmXRcPsvG/Ujtl3tw13ZOakq/LijPfMYHMHqRfplS173s2B/1xr8y09jXO6gtoS6PHt5GmNJ0Z/e2twXz9Y77Sb2rHU4XKkw+r4vaL03CyDtyxH9XOBnDTgksrpoe9P0qM4Wh7XCIXJ52eRchz0FFi7Db9fXRvsQdQoAD9O0faxUFsTz9IFz3VTUdVe3s+7yFPS83BqIwyed3rqkfU6RGDGKa1A5ObM0X563kSbe+8SkRI0ITIX3pFfDM1WKfTnKWe55up/qldpAVh6otTP9barujKaF2S7/d7HpbJXGtG9nMDu80qp51sSKzLTBz9FdnDFwfytM0ImvnB8aFJ30qVAS18IulaJy5nEtGEZcyQqRhLDIMXCWcD4sMp30EZ83GlmjB2ySTkDZWGIf6oPseQIaEkkHG5Qp6jT+JhOKBWCM0UQats+S1iWuuVTA7UZEJvfxFo4reUT/ByO9Zu+Qv4v3OXvDILYLn8cNIkWbY0C8QBZEkK1ZLLF65kUbX9/hkce9X730PrD46vLuM7WAVuN1VVFQ+ztKVZdTt+4pNW69g/Salf3i7EzqcNLaLa9s3UdSj169fazxQcIpjRzaWeZMJj+gHT14v6sP/eQ1UpuvZ7IrDo2OUax3H5GpRRgYwaiHuKh8bl1wvntvaJHEPBnWbW1KZidfXRKt7Daurj6CmRVG2WyzC63t+/pn/H+gx5P+H4cxVf77Ua2xEHWHM3aZcZcyttu9Ub2zZK7PzKqPhzX3VSdoNNjItOdwy9CI+HvoeU8dczoJvF/CX9mO41DWOhZ5P8Cretl0ydqjLu+J4wzKA6KJkBn2qEn2CWxfGJYcoHQEjqe25aTD5XTGg+hnoOgKbF2uYcHjamncEyEPpuWobzWXfnYI1qnNJhcqnq81XaA31u5OMIc65QQ0ofjpKsNo39YHZZ2OzxdIvX5+zdbWrYeWYEk0tbF0iA2ecKuQsFbTXqF7Z1mn6cKxk18+OHcnCsGdMOIyyVy4lukDM8ntNOpKmhUG5PVeYGqa0ellzx/swQWP4NANcje8Z0Q1OO3MK0Ve6/OY2qv0qlzOmBQZAA5TP9l31kKjJ12Bv9Vx23WVOenRbqilZ0w1jftlLpEabqI49drPa0c2PhH1w5ge6KEFYRhx7K7+EYSZks/ytkF2BbG1l3zw3TYs7ROXAukKkpiR9r/dfhhHWEdqQxxcKcpjP54LDf8Paq4n4wiJhaDXiRNSkqL9JUh1ht30IrnCsfYPy9qlV+sjMO+cZP3TuBPhSFfWxWmLxyS1sqpvMrkbBKanZK4iIqcmdqxf6sW2nqno2kOqQTXVShh4Z+iBlfwjltw/OwrclnbbLrtSvf2+yymqHgOO0dGeucK5APykoXQ43PQGnfqw+U9rnuSodS11QSqLDjsuzDZdbVE6UN96lW50xuhtdFg8Begz5/3EUfO+k8LcwLBFKednvYaLmXLFL1f80ijhsOUslRLWtNp8yWuMg8z4HA3fZwOYlyZnILWfcRHl5OU8//TR10ZXc2DGJs11DeN/9MtvuNA7c8aW5lM2YQv+bzggsK3n4fKL7ZmCLtmOLt4myGmXm5wzPICwym7yBdzPgVaPkZACVwgBZj9ggBtf4evp8ZidvthgcIktjRcnYuG8AqK/9iSXzj6WxVkQS+pVNx2rTS7T2nR7UIrUzKLOV2NN8hJVpru9LUwRnQIstfUQnLZ8kZk2P3Qx33Qc3/gPePp/2cjc2mz5nu7v6lcDrhCP0A4nWCQNY/em0Tk+1cL4aknfEiVB7VL6IACQcmU/BbaeQdHQhcnAVT12C+l0sPpBlca3zBdNZp6//w9Fw2jzzyoEyk9I6s77pwVg8DD44U4iQBIkIURhKRhPW3foZjoxuDGvRzciyTMG3Qee8thAev8m4vdVD7BA1XdTi+Y321nLjuWnIVt7KcLz1MptOUp0tucEZiDY4yAGg8o1NZJ8oIj62SP352CPFferpqIOINrx5S0kbXyb4G+6gdIcsiXJHwFUhRJ28kUFaAB6rmIE/cosQyAmFlYPgkVvwdXixSapjVN2i7+6VmHBK8J5dwk4yUrM5T8GfdkksHULpzUFKdw63SOd0Bs3zF32UxqGLNZE5NqspX16qe2vgGL11IRKSgajnR0RamunyQ40eQ/5/HJFlVsKL1J8xvNBC8cpwyhpCN7hPPE/1htcdZXwwbClqDagtVg2VNq9qoOGdGiZlnsnm8k087HiTKCmWR9x/46S2Al7c/hp1HcYcV1ReKr3OGU7xA+fhiFMHqr7/7CfyWgoju/jomRQNexVJkojoEzTAanWzFaJdwoWq8xCbWEZ89uEMnHck/f5RgmXKvwIz/YrtT+kO5WcEJ2WqecX2WNXgZE4NIdfqh0Icali/AdeeLrSgZUl0UvvodLWFpCZUuGZsBTZrDINLfiElSah5uVzCWGZn3UnCKD3XoHZuPUUFGratv0QsZQ8x5xoHpvA+dkpX9mLwul4kHyMa5oSlipmKJElE5qWw8RQTpru2uYZ2FuNnqGtzss9dHerbQ84OkmfqjXnTdzJ80YmMK6iEtJRquOfezrcNgq/DIyoVgkVVLngTznwfRn+nbNdO5GAb+TuV0P3flBLB6GYYGtRW1OZBOl3RRv/LazR1KCHUYD/YzGBoUZ4NPwk5z+g41VlNLjucsjvvo/gqY/OTYET0StSxrAPwWqF3UHmldvYd3govahy/1y/p8rOa1+7D5dF3/5I1Xp/D0Q2nzARavYOByasC4W+v243F7iDnlNOxOjSOSrxyb3dWJQPQX+1LLvtC1Jj7j/WbwgXRpuZcXTPk961fj4wmhN/djpKHED2G/L8Y4YPEDVb/hT5Pbk3o/MaLPFw19FpRh5a1TVS9XU75M1vY9ewWzj5rIm/GLOJl59cMsh7JyztncvKvE3kq9kWWLdOzT1NGFwdISoHzCFce1K5ENYCIEmP+PzF3HFFxJfQZ/FBgmT3OgcVuoeC4+w3b++En32T3Vw3QttXqMRKPS2XwV52E90GE7b4eDz93sd0+xSBVp5KWNsV4LhENuPbUY7GE0dqyRYTnFeU8mzUGySJR/I4q6CLZLYQ5s4kIV5wC/7U79x0ad5lLvVpjLFjCLSQMzafslUuxx+mdvJbFJiUzO0OwnJdoFLo+PUnM8MxaY2pusdrW943rQ7Xo/DNQyoQqP14qqiKsPhj/uQgnX/GCkFztvROGiHvT3dxMVdWbbNk1RYTOy3urpYV/e0rI7Z4tyq+wu6nfu0gsy91OdYuSDtHInhLdiCMunrThXcjKAmzqQ9QAY87c6lDv88G33GlYXzBYMKr9LWh1qE3qtPc5KSFaCncCa4QNd6Nb8BkULN2dgyTZAZnlVQUGVbNW92pjGZgGdS1qq8+8mJdZ+chTLH3gbly1e6n+5Wd8btVBT75EcejP/xckVcPlLwcfTo/1A0g9TvwmrragaIRfJ8JfyrnwGPG/eA0k7xEpLzMibVDr6Kp5q/B4NU5zhbFM8d+NHkP+X4yYsWJQ2nJWu06Gs/pZc83kxIvE9jkv6Q1r2SLjwFT3VTX5bzsp3R7BYOvRTHfO5v3Mrzn/zHP5cMFHDBkyhJEjRzJnzhw8HvPPszqVz1laRpkSBtfCEqE6FP2eNMqYWiwW+h82ndjEww3rwpJCl+OERYoHT7JYKRomyCrZBdcSXSa8fWukFUuYlbJFI8m51di1ClB7f4eCP6RcmSEGh9oEqq4wacxRH8+ae4TuduSqi0Web6bIO0ZECGPtzAyn17VCvcwaYaV5TSMFfd8Q+89QZlh1CYGubIXf6DubHRBqjJwHAAZq8tVNMarSnRaT3hUkIqV+3zff+PsYcPLHXW8TCn02CUOsdKLb86WG4BXZBue9IwRV/BggCFUVa2eya9VbsE0TgdncR8ywPjwTynupcsM2D8w7XSwHvG6lH0FrJGSVE1EQTfFdF1N4xZWkD1fKMUOx34GI+mNp3WhOICyadi3FV1+Pxa4hDq4dANXJREYX0LqlgeYlIULM/7hRSAdr4VeI84YY7h+6VUQqTNC4dC/1M8NFLl2jiyBm5cJb86ua+R3kisYHxfUKazPtdrhtsxoyd+9UZ8Bapj6ADxc1mTfDnfdDXIO5cxlmLGNtnT2A2IG9iB2WoF9xhhKhCSbLgiCptkTpyap+fD/S0JN8V6Omcec3x/H/Gz2G/L8Y2q5pNS+FbngAkP+eg5znnZS1RGCL636oqHFFbaCVZc6+o3n6nqepqKjgiSeeoKKigokTJ5Kbm8vDDz/M3r16ElFgRh4CvlY1kmCNtBF3vD6qgvIjAAAgAElEQVTsZU8PIcyCkKAMuU5S97MpYXaft53Ui5Og93aat6nku+ghGkMldSL2cKy+T3P6ZIWBXR8P342B344Iva8Cv4PBN0IsxulQDX/0EHGeVf8qZ8O05ez7bh8s1LSZ1QieBOvyd4XYk43XUeowz2Fm3RNEJPvmOP2MpGSlGN+zdplrBYRCajXkbkU66/OutwW46llBJPx+BAzqounMSZ/q3yukvIaFDfDLMH3J0vLBIk8uW8SfH8GdAMuVlEd8HVh95F92PM74eKwOBxa7neJrrodjjc6pH60/hFPzqQiD+8VW/AhLTMQZp953Db/XwMenwWuXsmbqD6y7WsOMPvxXDPhEU0LWoPxeErAnRBhcAg5bQtnnJzD4w+MY8M+jyfyLcGAr39TI4b51oXFfTajbK4u0QlP79+KY0c3iHog3yUUDWLyUf/Cd+TpgNXn6BTMv1r9fOBq+PEH8XzIYe4aYrDQt8JF76bFkZl4T2DQ6aTAJecPhry+JPxBa/H6kddLyVraIMjdt4OG1S+HVS2F1Ucjd/p3oMeT/xdA2r9DWk0eNsBjqwWNPDG0UO8PWO9cK9SoN4uPjueGGG9i0aRPz5s2jf//+3HbbbWRlZXHJJZewfLnISUpWRS2qOJvlN75O3e+bDMfXovfD6iy7/5xUbLGdn/OgW2+CIwWrOLPv5fQre4KCof/UbWO1CefA62mhadMOiGxl31K1vMuiHWSzQ2jCg1DdOv5LSK9k4PIs0k4JIWdpBhncDa3Yw5QZhM9Kdpae6GMNkjbddu/6wOwwGG53N3o4a9Dwqbg3tLXicrPyeffeF1hW8sQkUo8vYnBtUB5RKzbSewf7hbwtcOxXwuEZsoyIUSYKbSBm+Vrcdb+o2S7YYL69Fm3hMHa+eN1/vdEorwqK9rSa5Em16n6zzxbNhNodYPXijE/AEauGyTfXXsj6tlGQWQnXTzceKwhyhw9PU+iSzc13qxwD1w79DHfIPXeb7/TcVfDsVUKf3I8dOQBYO9HDsYRZiciLIfkkcx0Ih7U3FhTjPfMC0czkd5Fu2VwrIkkxztH6nWxeiK0nK+tG/fIQEYvIQvEcBDqm+fGtRvt/vuZ1TAPkbid6pHr/Vv3Dhc2i/iZNYR9T53gV0vdAyVoi8uJVxb2UPdAaxMk58TP9+zkT9QRPP35VWfaFl19pXP9vQo8h/y9GWF91Zta4QJ1NSlZBitNCsnY+i8u+sa+B2b3hGiXMqpHQjCpSPQSr1cqpp57K/PnzWb16NX/5y1+YNWsWgwcPZuTIkcyaNQtbVjwNq3fibWln22sL8LSoJKu44frwuC3ByoAv0sl+MIGow7vuXmYLDwvIwEZE5RMdP4jIGH2oXJKsWKwRNO1bwZ754vvs/UF1TPxCKwGEMlQSYJHJeiASe5wVi3M/ZsX74tkwfR4+l+LyZ+8gWdNFCtA1WzFAS7ZJ3Muemn+F3NTtNm/NCRB5mHE4iBumhhodcZHKuUjEv/6ZYVuufFbMwrSYZN6uExAlaoOXQ4y6j6txm1oLrCU4usLgUsHmz9JHYGHirNCfAfDZScKonv+WKCULZpoHE9Zqg7qogZ7w16Tc40vLcNIHn1d/vIb2BaIZSPD5dRJqr9m8AFmWaelYwZLKTHNegQkMzU4C5xglQsULRHTH3ld1kLw2TSnlseZSsdYITVh/r/ocdnh34PMpBMvXlfK9ly8DoMUtSGON7QuNB3S4qWi/Wb/smyCZ4uZIqEqlxaXp17C6CFYMEveWFlrZ3tztIEHde6qDFl5sDQjTAAYehzUsIhCJsYXHCEEXLcLbjH0Z6hKxJIV2uKyJnUc9DyV6DPl/MeJOt5L3lmaWJcvIskzTQh8dFeroVbKha6OYfEo6MWXx9H9OLe9oXmHUlvbsMy9nKyoqYsaMGbqw+6RJkxjz0OX889eP2NUoBr4VN6odlvIeKCRzSi7F76k51ogBDpLP61zoRIuM/IsBcISHZtf6vK0015uHZy1OK4M+GcaQb0eE/pAjVIZz6lh1djfgs27mqn89kvbqBnwuMdg4nMb9OjXkTZrrMXUGsiwGlCUrStm+8y7c7lqWrTqSqurXWbl2HHX7zAdvZ46FIc362WjW0MlCWOTqZ2h3q07MvoSXjAcYt0B9PWOq+ItuFDOm0+ZCdCPWHA2re4RR+91baxNa6Am1ak4ThDBObCP87UmSJ6szo0LbUp2kL7Em0rfVqYIEtlUJ1QbbvmA1Oi3/IbK5U+JW+94G3I3qd+rwapwPRUo1/vgESveEk/riZixZmu9fq+ZwK1seZOnuLNbvFQ14ttcL9vqumRq9/SAUPDWMlo6lIY2xFjnDNGx1Z7tgah/2u6bdrgVZDpE62tQPZIhMzYP774R3ztUrn/00XJSy1cdSv3m1+TGC0RQFSzXEyQFrRWRkWx40R+FBCcd7baJ88x21P7sULsM7k+HxG+HXoUQxGoCYM4ypnLgIRctC8xNn8jDWcHuAKJrDazqxH0A4eyaytr68ZYZlfqzadTT7Wr7o5EsfOvQY8v9iSJJE/ATVK10a1cbOvwmv1V0hU7QyjJINYTiyun8bRBXHIjlDb+/a4GPNYW2sG2FOxomPj2fC2qv4/bH1fPHFF5Sk5PLm8q85/Z27uOazZ1m4bUWAHCdJEmmTe+FM34+mCUFIyzmX0tEfERaR2fmGQf6Hz6N6/LYYO5JVIuPmSMFg1eiA29MRszwTRBQ56HV/guk6QG3fqLRJbfxFyEd2bHKw5jjVIPg63NSvDN2XO2a4Jk9y+B+EheXg84nIRu2+j1m5diw+n4tdu5+G+lj2rvyd5paVuFzb8LUpKnBTxX0iSRIlG1XHzm6LF/nruAZWV45ClmW8HmXwd2p+44ErYI6iDqclBjXFiK5lNh+8dineu6+hYEGUIKfFmxjdyQox7eKZQo5UQcldivStRaatfje2xafBolFY29MoS6ij5LFzRLnZCV/qtcj92J6rz3lryXUhxEkASKrVlTTp4DCW7a3aoyH2nfIJGceMFRKrDidZ444n82aNk7CxP4xV8uguozPdsr6eqllbDMsBBs0aS2S/ONbvPUV0DwtWN9RidxpRaTma77RXaALYPVDldxp9+Hz6tEZEXw2rvjGGlmXK770tD54ICpOP+Q5mncOWd2cHFg1I/oaBqXoxnwBaNZUTsfXQZ7P6fk8qayhS8+/X6EMwOT9tEka/LhE+OoMwt8hTNz7bJ7CNt83NVs7BlfyTiKKtLAlUJCRyMVanHZs3g5LMn2le7NOFyBn+A0jgTDMJpVtDODtKFKnNHVrj4FCix5D/j2HvK2r4Jyzfsl9G3I+4o0wY4Yoa1s6/deBaJ9O61GcoS/Gj7j0v2y/yMH78eP4xfgofn/cAfy07kU21u7jxqxfolZLOfffdx65du0z33x9IkmQQfzFFi34bb6sxhNZavleQd4rWUrq6F+ED7BR+mYUjQTzwmWcYCW1SKBsR1sbgmUr4XJkZ7PtDLXNxbVTDhMuufZVtr86nYGaBaQVBcCe4isp/0NwSojf1e5Npei+JDX9czZoFV7FyiiCCOTLVKYsj00Lx6jAG14ZjkfSExG17r6W9TSEJPafJCVq9qqEcN189VlGzvud7VAtS39ANQwx10CN+JubyXThiVGdl/Y9X4+kQTsCqH4VCnyMhSjX8qXuEc5SnMQ7asizJC0Vr1dBpZQgnz9EOh/8mQrdmM31FzyA6JxdZ9rAk+DjhLtKOHqkLf0ePlIQ6mR8PKCTF4A5fHivrrzdvUVrw1FHYojW/iyOoMVEwtufibVGe+5xtBlEVqyUemiPZU6lPUQx4WqO6Fyz24y/d0sL/HRaMgVcvxenLw241SVP4JFEdoCDpxF76KEnRajxylaopf7baZtWe38beD/SOc8ss5ViayoSdv7zGPmbjYo0w4rc8CleI0j0rscheH559bna9sZGqV/WqjRFxfbE7k8k680gkW4jxUSZQJgoEdBeiw7ooRz1E6DHk/6PQhtz3FxF9TQyj0nu8bZVqvFt+MXqvwcbdHhdJWlQCVxx+Mp+c/yBPHH8FuVEp3H333fTu3ZsJEybw9ddf4/MduvaA+ZnPw1dCoMSRJAaj2sXGnsUxAwQ7u+DvZ2CNslD4RQa2WCslD55P2YwppB032LCPI11jQFL2wHFfEXlcEznPxyKFKaOXonQmu/UkLF+HjLddXda4TjGAQZHgxq/FtSmYp+azN22e0rlQxXuT4dNT8H4nUiWN3+q1Bpy5Fixhxv2b239l3e9KPXyyZgDU5p1Ll4tWqI2xdCQsITwrXp29+yTWXacJwQeTirSdyg77nf5vZtP3UTHjyp2gzPg15DSnJtISyIkm1oqZU39NWNpfJicD754H02ZAwVp9JCY4hD5ykZqLLVxnLscKxOTl4/aZ12ivrlaliH1yO43RH+h7AfgRbMjf13MkmH4dWCUGPHc0kf2C6s+DyXsmWHm+ohdfJe4RWy/V+fN+NAK+HcvuN3Yiyz683jZadpXjadM4iM2R6rUK1XL2E0XlTemTULcmRJh9SRmsV3PScn5QxOPVy0T+ekeOeK+R/nUnL6fpW/1Y4FqhyeefLzTbaVQcv5YIYcQh0HhIIoy6X0Wko+6XoIhH4Rpai19n4Ih3iBvcmyEv/IW0EzRkSH8JX0WWUJGrVCIaioa7w9qj7NaDQ4QhTcbQdNwZB8ZSB0g+I4O0C9X8UcnsoUSUGoUUNowzhh79DGkQQjU5J6udqWwWK6NzS3n2pKv5aPJ93Hjjjfzwww8cf/zx5Ofnc99991Fe3glz/ACx7xd1FtixVwxeuz4ylvW07RJkJWdK9zscxYwOI+oIJxElDvq8kUHB7WdQ8FIxiWPSjUSlIGEcb5OHra+oJUyVH/+GLMtCp76fZvBTyFcRJZr9PzkFXrpCvG6ICS0UohC70q4P3exEC7d3D/g1Cewa463VWV9XKMLpFZmwvpC25VZoDxN51OAa3pgm0TQHxMx9a766zubBYlVnPe11RrJYe+suZJ+H5YvORJY9SKn1apeyyBbVgWiIhepkmDVJ3XlNsf6axwSF5JNClE0FoWVPhSEs7UeHdzflDXfhk9tYV3MCFW236yMZfvhD6zLCAVs4Wr8+ponSecOJyDXRkdc21vETBZOrjdtBII1gzTPpne6TWDrtJZa/fxHrX3uZFU88rK6rTRLtZkFXz91ntsapr9JzOxzR0bibmmDJEPBJRNgHisiGtpPfSZ9QK+llXwGYewbc+jDszNLpvpt1T5TXaMrUnlVKzj4+Tfw/W08azG/4Hsl/kHaH0HnQiN1w5odg99COSJ+1yiupOXmCuv7no0Sb3QqF1b8jB45YDEeJkkCnXdMb4d+IHkP+PwDJYrz7Q7JduwFrhI3MS3MoWzSSskUjcaSGUfCCUbClK2w5q51Nx3kpuncy/W86QxeazopN5uEHH6KiooJ33nmH/Pz8wCx9/PjxzJkzh/Z2E2nRA0B4Vhe9nBW07RYztq7q37WQJIn+s9IY8Ek6sYVZRPYOIbQiI4yKplf6rrlLaVytDzWvuec9Vtz8mpgp5m7VMWt1v7N2sHz3XHj1r52e56b2E6mpNekGZgZ/blhr+NYr/cSDZ9igdkT7boy+ZtsPpxtO+RhGfq9fLoHsU3/jpCGH6z9fwbrfr8brFuci74lT69etXshU0jN/HK4vXwJYfDSM+Vb3ebpZuYmYiRnqfR+ypmaUbtnAVD950kN1y6ss290Hl0dxvsJM7tv3JkNdvBC1KVkNP4xQZ38vCIdsXc0JJp9uI3XoMfQ970LiLmiCw/6g5L2jRCvgIuOMOPvqgaQOOxop1YRH4HcmFo4J3bUvoVav7hdcfz39+oBhlH0yFQu+huWDsXx1NlkxdxlFXXqJKJN9QND5+GvWL/xXl73UAUpaTSoC2oy8A/fPwtCmnjRIrU7YZ+SxtMmr2eW+l3U7T8VbZYEs5TnblQW/BTV2+eNwMmJuoyDye8Nx/l3oMeT/I+gzt5Me3gcBZs4CwK579Lm7vTONJRphKbFE5aWSOk7fsKBpUyVOp5PJkyczf/58tm7dyh133MGaNWuYOHEimZmZXHfddaxe3U2mbAh4GjUhxOPMGcCNa8tp3iRyvaG+64Eg/RolTOqziIFFloSoClC7yMhYbq9uUGfE4S6DyEdhvzn60GedWjRcMiCIUasdrBeMY2eFuaxtceaP+gVKkxudjrdfgz3FZCZ42Yvqa61YiVaoJbJVPd6wxYEw9vrfr2HJ/GPZvfVftLatFifdob+X25o2697jtoPVIwxzeBeiNEnCccqYcBj5kyfqUwRlS0Tf+hGaAXrIEuIG9dEfI1rtcZ0d+wiFyd9is3RCcgzG4mHit/j745qFEixTUjVKeL/dqyc8ipaiHqyWCGLy+pA/eSJl99yDIyYWi9MJMU1IYXqLnDwul6xxx4PcgS01qMWxNjrhJ6NZNdej3SH6n/uRu5XNz39hbIyjqAL6PG7qVgmym68ymkjb4QH1wQCihLPkPv+R4KtiRK7+++c/UhB4veqsX4mrvVy/fa3xN9j57Bpkj4+mhUHOlAzc9FjgbV3rh1StnwNTZ4jStAvfCn1e9XFU/iWN9Zf/oSPJ/jvRY8j/RxB7nJWylgiSp9gYsLjrcrMDQe7rxplq1eN6wx051BjS9+fNJYtE3mVqbWn9cr3GcW5uLvfddx/bt2/niy++4JhjjuG5556jpKSEI444gken3EzN1k6IVCHgrx8HdHXQS6a+QGvFXtY98gGbnjWZaR4E+CkD4Y0Kia0pRq15/f3wgLGV7CFC45oe3t62DsLD+8ImjQjI7HMCLzvKNQ5IeIua08zY1Slz22nLYnAvhTPgk1RSW5RqwBiyVPx3mJCunCYz0OE/GGvOO0Hl1pm0NG7EH1sdOCJ07XiC+2KIaBUGuDR0uRBAvldEIWKLs4jrU4xtnEbeVdEGSLJeQuGRSrmds4P00UeReFKKYOcf8y0UrQnskhQxmXB7/64jXsECN78MEwZdC7cDhv2E49yf4BcRrVpSmcmSykxa3WvxySKcb5GMDZKKr7yWXsefSOks81bCPtlF1CjNOfok80YsJavU9UvL4H1N33r/b943yJFStpGDpJl3f79Qv11DjAhln/g5NHejpDSIoxBdpI9uuesUspu/Wc5tD2GGpad+ReumoAhA302qcuPvh7FvbrvaD+CZa0XOPRTnZLWir+EKx+fqmq9wKNBjyP/HkP0PBxEDD83PnjBRNTZxp5gbhsp7jTf67kc8AWMe3U8NCTuTzftKW63WQHi9srKSJ598kuaGJm558TGy++dzwaTzWLRo0f4T5EYYQ2PrHnyf1h3732yiu3BtEdej7RcNj8HfaMUVLiQom6JIPKKvYd/+N56mvum9neXXC914fjSvedfq7fPLMLXDWHgbtEXAr0NZMvUF6lduN+xrsYQJp2KLZjZq8zKkMZwhDeEqKcyMeGXWUSo4Hx2E3JI7DMt2b30zIPdpdyaQmG7UuE7LmUTDhi2KQyTD8J8N22iN+5bnBPHO4hRRhpJRM3EkRRP/gIjyDLbV09s2g/CoXMIiRF40PDqf3oOvhLPeh7xtusiEToSkE2Q+LsHfH+16w+k30rEiDi59Tbd4Xc2xrKgS6oF7mo01/fbIKFKGHonFbv4c+nztWMM0jnd1UEvTvUnw/XB1Rh7U3lN8SOcCKG01+uem6seg52tLPt3GfXcKFruml7vFop+QtMqrxT3qT5f489gAmV04+N+Pgr89A5+fIORX3zlPXxJ428PimmhxyjzDYTwm1S7/DvQY8h4cVKTfaiP7GTu+9lBJNgFtrfLuB9wBEpwtKpzBT4t8bsX75ixhLZKSkph6/iV8ce9LvHHGzZzQdygffTKP0aNHk5eXx5133snGjaFFNXQs+gPoDvVn4WvROxsJ0+pJviRoZvTjCDJPG6q+r02A1nAckZoZiZJ73vb6AkJh43Qx8GSfOxJWaAZmP1lqmWiruWXGl4Z9W3ZUwypjz3bJKiHZNDMVjVHLyVYaS4S7AuWJAZRqyuNGLiIsK46S4e8yZMwXlI37hviUEAI8Ya5AdCKnSN83vHfhDWTkXYzX1XnP6ugpm7Ek6I2QNUwc02K3UfLIRPLSnqTM3qGb7RYd9Rpl475BkiQkSaKvPUjDvZsYkl6B09obtucc0P7BcPt2d71REHy+Vqz2SGL79hMzTV+QwV9VAn8MFdwCEGRFLfoEySmf9pFh3Z7FQSkZDXqddKLxmKDTaMAujKI9Q4KRPwjGfUq1iIRcOBNJspH+tMppkP+mzMD9Aj9+w/vIzaL/enegTf28N1m/zmPXz8pPMzb6qfn04JNxu4MeQ96Dg4qMOxwkX2on60F9mN1dJVPzsqaPcaaFnFfUbcr/rq6zOLo3q/Fjzb2zqFm4muLUHG4fdR5fTn6Id955h4KCAh566CH69+/PsGHDmDFjBnV1eiayP++tQ9r+D4wHivbteoOSdXERvS4YYtjOFqXMar0W0YBl0Wja1mtmv0p5Vd1vnevVmyLRSBTSzt5lWWb9Ix/CV/owbUbsDYHXCUfkB4RtAsviNGzjyUGh5PTdxA3NEUIyErTnf44jLAnJ4hemCTE0Wb3Ibg+7vjU2JEnKGI9kMc5AE4f3073vZ/sSX53+HrM49++eA4ixHKtrpFOS+ptu/ZD0CqKdwXX/wgmICzuesILuVQp0hYGpSztdP3iuiFykPCmMpCzL+HwurJZw+kw6X88295MtNypSxttzzIlvwSmUcBcMU6IfjfGixe2zV4HLSfqI0YbdE4tMZvgAz1+rMu8zBFExYpCVgvx3ROh/Rw5c9goMEKme3b2Ceqp77Gp+30+SG7BeVEeYIRS7PxT8ZW1hbYEuhVq0bu1epcPBRo8h78EhgVbLvfk3L1vOaw+oyqX+TQya9lTVu004xzwE6G40b/WohRxEMAmzO5g8eTJffvkl5eXlPP744zQ3NzNt2jTS0tI488wzmTdvHh0dHbTtNnnw8s3VtAAKbpkQct2BYMDn+pIda6zVVPd+Sc4O0QDjV5XZX/expuTJpMY5c8KRhmUACYf3xaaNEpqEw6tXLsLVIgxz5TzFQHk1xi6ymfQ4tZ977mWjsU/8RXsIXZc5Q9mQzUt9+MyAupuM8Ryy+k01nrzSuKLqJyHvGh6l75Ale/X3QrrlTrLPC8o9A70vHK577w+t7zeSaiGpBmKbcFj1gjCSJNEv8V0GpYo8c1LEuQxO36qsszBg6l8O7DM1iLSXYbeGlh8GITPMw7dS7XoBAFl2ATIWSzg1P+obHhHVogtfU5Wu01oXB/RCTCOF955J9FGa/HzvnYLp3xwuHAG3A56/ktqHsmBbTsAhiM7Lp2WNCT9i6vNg6YAH74CHb4X3zgXAvcdH/RchoixWHzz6d/2yYKfRBGH5TpJe+R2evbrLbXXw8wjCXPo0k4Lw/EPDP+oKPYa8B4cctTM9dJSrbn3TQjHY2tPU0T2swPxW9HX8uUYEGRkZ3HjjjaxcuZJly5Zx1VVX8eOPP3L66aeTkZHBbc8+zJrq7eRNHa/2RDdjXiuI7J0Sct2BwBqp/96dNlvZ0kenA173oTDkqXe0m5Y0pYwuoWzGFPpcdWJgWe/zRmENs+PRRrpNCGoV255mzWIx22naGFRiFNVoWkY2sPBLygaFUJTrArHSKYZlqdkTGHzMJwwZqwn1u1WD6/N6KDhcL9/pdYvvknXseEpttaRbbseiIQqmnyaiHYlH6TkHB1qOWWD9GSSIdg4PuY3NmkBZxi56xz2uU8ozE9wB9NK3XcBi6YZqoQbtHZX4fC5l33B2vq3mraOOUq5taxB5TlvK2GeTYPNL4Glx0bR2F8QpzrCMUIALIs11/J4CcyfAt2PAbaPtuwQ23RGkbQ5winmqolX6jarX9+gXWj00+JQKE20HvGnP6dvnasvjNM11vB0u9iY/YFC56zaC9fkBkqtJvrD7fSAOJnoMeQ8OGXLfEIPW3je8yB2qIW9dLl7bEtSHwReiSsi1px7ZayStbXzqE5ZMfYElU1/o1rlIkkRpaSnTp09n9UvbeX/6PI5KP4a3PprNRR8+yhGnjeWBBx6AyEvhjI/AayHhdD3ZzhLW/frx/UHhV2JWnjZN/bzsBxPIeqh73n3GRX1IOKKfYbmf6ORtUw110vABRulcjSG3RCnrNAYzplBDGordJwh4sybRsj1ocFVQNmi5qUH3N35J+LsxdZFuudX0WBZrmG5mH5GuKr9tevtN6tcpg3hzJLLsw1UtnDCLw4FVig6E6FPGCXW45BEiZCzZLBTcIfKhBzwbByIthwFWmuT5XW7bGQbviSVnRgS9Zzjp87HqeKRMdZJxu7gPEhC11U6rGoWwSqENudfbxvbye6hvVI31xi1/DRhyyac4YzLw3iTRFtdj1YvmgCrPGtYGyXsDxMaNV64WXIsVg8V+wQ5AMFaUwh+H46nsPI3RK/MWmDFFXaApCcy/u0yE3PtsZrPX6PyxK0v/fu6Z4LXQz/o1nPdOYLH7Sk3O/JVLQ5/L1EIs70wzcjysSuTHX7nhaAe7h73Wlzv9bocKPYa8B4cMWgKvrJlY9/taaR+oidi1rdQb65RjBCN38z8/Z/tbC3XrZK+Xpg3mOuzxZYIJ63OHrufcea5Mzh3juHvrTL6K3cztI88jOSWFO++8k8OOmszFrtG8+0YDG9eprNS+15xE0Z1nhzzmn0F4fwdl23uT+Xe15jv5vGhSz+08ZOqHxW6h97mhu7NF9RGykRmnCuJS2wrVkBeusNH3EVXgw9emXDeFiFW55U19qP+1v8IecbzaX7vOxw8ZqNYY93/saIofnoht5TFI36niJpmWRxSDGBqDRn1IvyFP0G+CqorWvGM72+a+T7J8LawayKpnprNhplAJCw6x95p0JGWvXIo9TjU2YekiupF1zlD+HNvjreYAACAASURBVA68djjz7jD6fhiJxSGROMlB0qRwYocmkXmvMN4pVzho+V08PHVFNzMkfSdFKQsD+9e79LoHrfJyfLIw1DW171Fb9xFbtl0TWN/RUYnX7zW7FcdU4Vc0L0SUWoVC9s7Q63ZlieOkmDt3oTB43nHEj0zXdRBMSZqkdyY0BMotYcdCXEPo5iUAp+nZ5PaZdxJtGU2y5Qp1YYImpZa8l4Gfmefs3Xtd9I38EO65R7/CX1IZ0ar+P+x3bJhoy/8b0GPIe3DIEHeyOpPyagWzBovbTrJLlKwXA1bNS/oQeuIwVeyh7leVdb595rcsvcrc6829ZFzAwG94fK7pNh31+px7tCuZM/54iWdWL2DDwm1cbb+fDrmdf7j/zonXvc+0L59ggXsrvvRoHAn//rBZ1h3xXW8EWBx2iu8713SdIy6KgY9dRNp4EVZu+UM1POF9HMQkajTiT/xc/N+WBzLs3vYWlRvfND2uPbrrrnSSZKNPrgh/y7ILZ3I01QtWIc9VDblN6nrws9mjiU4YhNXpJH+ink1c84vI4WvbiTbvDNE3XgOr007ZK5eSPLKgy207Q6J04QHvm/a3MGKOMUYEUq92Uro9FmdvKw1fq8+GJFnxeltEZzCPFfBRt+9z2lybhQysZyjLPCKys2v30+oBd6cJyVxg+847oCmK5t+EQU8cZqxGMIWli3JOjz3QN6BbhwuzYrFbybulFO6+TyxDPGPpNyvRgiP0vAuzskU7vWBCaFVC9y3C+cu2anqaBwkFuaky3TeyMA6nlKnrf26JsKmcD5sX0itFOL/diaV8gOlxDjV6DHkPDhkku3kO0BKh6bTVS70FfS7V87ZG6HOw294QtaG1v4QuJUs4vA/pJ4mZXWv5XsN6b1sHqy4PXTLUdGIKF9mv553wxcwO+4O/2G6ick8bN7/6OKmpqUyYMIE5c+bQ1taFWthBRMql0ZSu7BVyvSNbDXto6+5zLh6j284eHY67QmbzxHZ2PyIMg1bAp/TJS0TDCe1M5cMzxX+3eei58pPfWTL1BTrqOhd2sVjELLim7kM6XMbfRZb3L08Z269/l9uEJXZPdvdgwIsIr/rkgyMZDErXvljlOdGEln0eHyvWjBRGc18CTkt/tu28jbUbzsKLoq7XEsHGck24WAYmvwfnvw3lWbS2rYW3z6fua/FbOMLN9RoM6LuJqKEOksaHvh91KF5lXOZSn+vYI1S+SR8EDyKFq/A2yux+VLmWlqA0UJyxC12O9QWY9J5+4dBfA+Vrut2PVhyNyBZdKdk6zxGE5wonwp8CAogdmqLyEBQNg7DMoHSG/zB2N5720L3rDyV6DHkP/mOwukQd0G2RekNe9+tGQ7hUi7QTxGwztkgdZLwuty4/3L63MaRRCkaeZQBTHXcxl4284VzElCumsHjxYiZOnEhqaioXXXQRX375ZaB3+qGCJElYY/SPqT3FSumqXhT/kEnxogzduoGPXkjp9EtINMmZrypw0fCZF/duhaOQpA5k1jCHYCwHd+ZaU2jKztUd9/Z/dbreYlE6ytXNZdUyTV5TGaOTLJd1un8wQpamaZA2YlSX2xwsREuixKzG90LI1r0Hgta2DSxZUaqbbdZ8po80dFSrZVUeFCOyI4emOk1/8otmqq8v+FegL3dgv5ruyTcnlBXS7+4xRBV3EiUarJTClf2hV+7zh9yXqaWVUQNU4mYsxzOIWjK4n5XFJg1dLF645WFxjwI5VlUgJ8ZyLAMjt+jKWbH6KJhvjKDl3VxK9lvNcN1T8LenydmlchsG/PNoCp8fzuAPj6PPfYeRf/cQJElStASs2G4QkansKwvNv3vqHpIyzfTwDz16DHkP/q0IHxiaHeyuVAdBMwJSqJA6QPJI8XA5ksTswhrhZPl1r6pqZ8C6h96Hr80lK0NBkiSKrYcx/cGnqKioYP78+Zx99tnMmzePE044gfT0dKZMmcKCBQsOqVHv/4HIS8edGMHA37KwRltw9rIZ2Nb2mIhuN3WJLAt+/G2Cjasl9qz/86FCvyEHdFKwxU17KbN3/KkGPmbIn3guFuv+14UfOMR1rPDdRINsFAk5UOytVTp3TVEJnbum60PAsqyW7TX4QsgI+7uW+XH5i7q3NU90fb+kTHWSc00ZkiThTFV4BpkVcGRQ2WNYOwlPLgWHcl6H/0a/H9CF3GOPFDNxe7zegbCRgIQVX3DJ9yWvCtb7MBFmL7StINFyPuEMpJ9VGGK7lEp88mjdbpED1ftO9ioy0DYLSQlqi9jtj6rldxu9xxGeI4x/7GHJxB0hzlmSJIZkb2Lg4C8p+/wEIvvF0f/mk9QP6rcBSpdRMO4RnOE9bUx78F+I7GdUg1zwYxgFi4xMbMlkHJEkif43nGZcoUGvc4bT95qTKZsxBUdcVGC/xGH98baqYc7ALMlMK7mbHa58zUIaduzYsbz66qvs2bOHuXPnMmbMGN56603GjRtHRkYGU6dO5dtvvz3oRj2qzEnZ9t7kP2/ePU2WZbZe1E7DV90nXgVCtwpiooeK5i1m2uhgKmHrR2da9FatIa9VQ96Nqw+NClZc/z+X895flPtUgli7vK2TLfcPNbVzxAuLDP8UeV55ZWjHqmrPGyLKMf06WF0EoxeKv2Bs7TzCAhDW38LgylgKf4omZ0YEvR4KDzhcUUXxlLwxmsRTkkg+3EgUrPt1o2C4A0M+H0d0cZyotVeQf9tg4rIOo3FuLBtObmJJvD5c7swVZsmWItHnUwwKauGSuAaF9j+ItqiCO1o52qKXxfL4M8T4465SJwltFSad0oBmeVHIiIokWXQOZ1TfNByJIsSecHwqWaeOITLWKKP870KPIe/BIUXsieLhyn7KTuRgCxaH0ZgmTDQXg4nqk266HKDkwfNIGV1MzIAswzrJpj9e9YKVtGyvVjXM/cgqhzM/JPwGvaxpr38YowHeZv0D7nQ6Of3005k1axZfzzqSR+8qYdTIYbz55puMHTuWzMxMpk6dynfffYe3k5TAwULbSpl973vZPOHA87TRUUeIGXl6CGW71D0UTh9Hn0cHknKMniDVuDa0UdZpYn+phh7tsV2UK3WCIXfcS8nfbjQsj8jINNlaNMBZcdMbB/x5nSHPqpY1SRwctTYAqyVKfVO8JvSGCrw1dtF45ePT4KrnOt/YxF5FHiGem+IVMRT9EoMlXCK80EriJKOn7UgJJ+fUM8g+4WT6PXaEYT2p1RQ8NwTJJkxMzGQ1XF79Ygf1c+zsfb2D5p/Es1E7S5MC2yZIdYM2xOJF72jbCNEGWEHfh4aSdHxWII/t7C0+v+YV9bnwufVOdqrl+sBrF93vpFj88EQGP38RuYNuIDX74ApF7S96DHkPDikc6RYG14WT9NfQoc7sJ8VAYaZt0fvC0ebH7YRBvvcHvVpVxQeLWf/oh+DRnMNxX8Ex3wHQVq0vZQvrY2FIvZ6R7e1k4h4WZmXsiFTuvzmHqqqdzJkzh9GjR/Pmm28yZswYMjIymDZt2iE16uuOUnPbss/4Gd3J3UZHlYkZeW8TxvfZsyCxlvDwPsTGHEWviUdTOr17ymQ2WzxZGTdgs+odqS0vfkXVN8sPKK8sSRKO6BiG3H4PxVddx+Bb7iSp7HD6Tj4/5D6e5gMU/+gC8RY1VFvjewVX+w721YfWvO8O3O5afHKITlpVnTDDX7o89DotZk2CL08i/wo11dTvwyiK/ojGmb1/ZiG6OIF+j/hn5prfUuOz971PLS+suMP4O2yf0orslmlZrjeyviBD7qHzfggxpYn0vlZ1Mm0p4iT2vKAx5O36z2iq1zpJYvt2eRsr3fnUeI0NaQJbWiz7LSd9qNBjyHtwyGFxSp3mQf0sdl+LcV3SsAL6XLl/BBJbTIiyqK802t9pe9SBRtIzuB25kmDcP3JzYJmvqWtj09KwFlfDz5x11lnMmjWL6upq5syZw6hRo5g5cyZjxowhMzOTK6+8koULFx4yo75zwz8Ny/xNafwILzb+HhHhRdAYK67LIE37z4mzIHEfQwbpW4Jaw50GdnwopCZfQEL8eMPyXR/+Qu3iDSZ7dA+SxYIzPh6L3U7vE0/BFmH0BhtWd1L/fJDhYg1r1p/G1h030NK6ip0VD1G+qxtdzoKwcu1Y5FAs+LvuIyNtGkkJZxrXfX6ScVko1EezdbzqXFkiJMLyQ7ez7QxRJQmCBNZLjcx4g1p6xk/oPFpRfmsb648Rhjv2BGEg3bJQZkuQRGllhuWe/TqvpPNFHt5fGOFzewIVMAEsPBqueQbKs1jrGYJbrqLSex9uytnpu+qgpksOFXoMeQ/+IxA2ILShjy3uvV9h2KI7J5qv6K/01D5Fn3PLPnck8WerA5gzV5xL5qkj4QnRGCQ4tB4K2tllZGQkZ511FrNnz6a6uprZs2czYsQIXn/9dY455hgyMzO54oor+Oqrr+jo6MC10UfLsv1svUpQe1Jg74WjaNukH0S9mvLb3Dcc9PvKhKugdbYO/100wTjtI0jYZ1yvIPGIfsQUZ2ON7Jr5nJR4lunyA2r00g201zTSsqOazc99Hljm8xwa56nYZiyLXL/pAmpqZ1O99118vu63t/R69R5tdlZQS9eN/fG9eAFZcXcwZOAfQnRHBi6cSZeI0B/b7yskXvDnVAslSSL5pN4MevLiwLJNT+tLPXs/0/kzXPOqeo38ZamVvnsB6GV9knTL7aRZbjLdNxSCo3zLrnkFT1D/htb5Cnv+caHZvtKTTZ38dmC9RzbPqf8noceQ9+A/Al4lhRaq/WnJQ+fT99qTAehz5Ymm2/hhiwpn8LOXMeT5K/Qr/IIWSi1q3hXHU3DzBJJHFCJJEmUtEZS1RCBZhMGKjO4XEI7wNQkj3VUY2NNhXkcaGRnJ2WefzZw5c6ipqWHWrFmMGjWKt99+m/Hjx5OSksKEwvN4/shZtLSYhCY6+8xgMa21/Vhb6tY5H5LGziacbcMWZzTKXo86wEl2GwxaCenmQhlaWMMceFvau7w2TX8Ib8Kaop9phlLp+7NYfdc7omubBt6W7oXX3e5aGhpDt+EMhoPeojPdWvPSJK/XpKQqBNrb9RGE5MSzyM/Va8pXPdnO8uwGOnZKdJRbkP5xq5GdroXVI2qtB6wzXd22+uA4OLYg/Yd9S7cGXls0djzhnM5n5/6sQqR0BHx2IiumzSJq46W0VXT/OgKBZ9kaL+lKUQGyzjQ20zFDk7yIfb6Put7w/yN6DHkP/iOQOFnRBQ/xnEoWCzEFWZTNmEJscXaXx7PYrEiSRPZ5mjaS65RBVrFh8aW5ROaEboLS2rwlYMi3XdLB0gXHUb7x+U4/d/c2Y0311ovaWRLZimevMHSRkZGcOeEk7r4unh1bfuaNcz5kfJ/T+dn7NX/vOJfk5GQmTJjAW2+9xb59XQtMhGKqrx+lGi1/2qLwt9D67ZVb1BmdzRYXcrtgNG8R5Dj3vs4rAMrf/hUAb7Vx9r73p3XIvv2PRoRCcFjXj10fmzTrMMHKtWPZvO2qbufvJUmC6tD3ktfXdRc/l2s7OyseYt0mVbmuV6bQoI+KKIUHbjfss7q0idWDGpE/7aKs8lilIZDV/F7Jur9rlb7uot/1ak/vrS9/HXgtSRJxp9gJK7CQ+0IkJWtjGFIba3qMqCNt+OR2vHJ9ICW26ZlPWffQ+53KL4eCd5/Mukf06m/+UtWusMt3K1u9E9nkOXm/P/ffhR5D3oP/CPg7obl3HTxBDYDk4YUMevxiMVtSkDJ2IInDulYHS0w/ziDlWFOu98w9HUbPw+vRz6j3vS8Gng2nNeDzdrBk/rEsX3g6bc1b2P7ZUxR/cjw3rXuer8K3McP5GZdeeim//fYbF154ISkpKRx//PG8+OKLVFWZz453XGketnWtl9k3TxB73NXiutozQ6cwqsvF7DU8Ko9+eS8RE6XOWIYMDG0AM04WGu4+T/cNce8LRuve7/jXInZ/tsR84wOAq8rcAar9eX2X+2qNt9lMurbuE5asKKWjY3dg+8qqF2BfQshjer1qcbTsk6lfvs3guKzZcDo1tbMD7+NjjyMl6RwArNYoGP6TSHV0Baty/uO/gKLVQhcgrQqe/JuqDR6EqGEHlhs3Q3TfjJDr8t+MpGixMKCOdAuSRaJkjdGgxp8lscwTjQsjf0L2eA+IIBmeqVf7iy0KmhB0JkG7roDGut9CrpZ9PvYsWEF7bYi+54cYPYa8B/8RaPhaGLuqp0Iwdf8EbFFhpBSNDbzvddZR5Fx4TNf72aP0Smc1Rk3wLSvvMSzTypC271AHB9dyB8u+OwW+Pha+GQe/DoVXVSlNm2TjcOtonn32WXbu3Mn3H/zMddddx9atW5kyZQoZGRkMHz6c6dOns22bIOC0renceG49t4PWFT4q7xHX1doNufjsgqsJC8shJ/uBwDJJCh0KDXRZCxG2XnX7v/R15mMWkHRUAflT9OS33Z8fPENePvsn3fvk0cXd3nfrDrWsbdsOY1e26r1CDnTVuhNYsqKUNetPZfeezrvwrd+ksumXX/cqW178ivWPf4RPbsMj15nuk5ykNg6RJAtlg5YjxXSda897QySGIyNLoGQ1HDsfXOGi0cjb5wW26ztXTSD7Q9AHC+knd94ERwt7iv6zo462st57tHhjov2w/PrXWDrtRcNyLWSfL1BmlnKlE0sUeNvUlE7y6GIsditF906CPSnwh1Kx8cEEeEo0mcmy/ANeukxwD2ZMC+jBm6FlezUV7y9m35LN3frOBxt/ypBLkvS4JEnrJUlaKUnSXEmS4jTrbpUkabMkSRskSTpes3y8smyzJEm3mB+5B/9ryHpIkG1ixhy8mYEW1beFrknvFFqt50Z15uBqKaexdgnN9ca60z071FlV+9bgmYMPnrsK/nk1PHQ7LB9MMDx7ZZZFu4i4YBDTmu9nw7oNrFq1invuuYeWlhZuuOEG8vLyKC0t5ZrS21nnWyZmKPfdafoVtKVpuk5mIRAeLTrI2WyxWK3R5PQKPYABAa312iDSmuz1sv6xuXTUNevrzPMEEzluUA7RBfq678pPfjeQ9w4E8Yfl697HDczpdHtZlqlftQPZJ9PYpDbqaGxebNjWZtXPINs7TGroY0Lncn0dwsC0bq9ms/d0VnjSWOM23ge7O4xsd3n2qYZlAVw4k8GVscSf7KDwl2jaE5fqVidIk8DugeWDKFkbQ8xoO6nP7iT5+1khDnjgyDhJNeSeZheyT6bu982mM2nJpt6TqVc56fdJFG1fpEFlOpSH1nXv7D5ZetVLLLvmFWSvj4av3PiaoWmpcJgGP30p2eeI/vFhKXHw3RjY3FcQBj+cAA/dAa/9BfDCHQ/qtA92ex8x/TyfksqJyvu/qez2DVAsy/JAYCNwK4AkSYXAJKAIGA88L0mSVRKNhZ8DTgAKgcnKtj34H4c/tN62+uDlSc2QPHX/6j4jojVqTT7xuFSXf8SaxZewaZnqh+YPuo++g8VDXrtb5AV3P+5m08kaYlfv7YYWi2ZY0VsN59fO9LIs1kUfZyF33XUXy5YtY8uWLTzxxBPExMTwmucxLnAN5yRXP6b/tpifvF/RLrugdJnpsTsj7EXHi1aOVqvIl0qSjdLiH0hM6MR4IKoKAGoW6p2anbN+omWbSVtLWwubtk4DIDeofG3350uEeM+fhITeYTETDtJi3x9b2PL8F1Qu+AFfUB1k8PWS6UK1b8Bao2Y9qpyqn+MROzCHJlloGbgIEnxxumiKmstWz/ns8wmpVq/cDLc+HPJjEx/egiVcfO/w/lY8Tfq0UK5N6WKXsRtHuriX95xzGDUFV7PE/edY66bno6SvZK+XtQ/OYdtr86n6YqnptnlvRRB/hp2s+8NpWr8LvjgRnrkGpNDGWu5MPVHZrXbxBnxtyhulX7pkDTFZ8Nhgt+Lw3/IoPjTXb7cw0JUd99LsMzp3XsU5+zO97f8M/pQhl2X5a1kOdJr+BfA/LacB78my3C7L8jZgMzBU+dssy/JWWZY7gPeUbXvwPw7/JKf6+YOvV6713LO7oSutRb+yJ+A8hcB24z8AKN9gVM2KSx6G1abScn0dciCcHcCOnP36bC3WlKqGIS8vjxtuuIHvv/+er8O3cY/jRYoiipn78W9c2z6BcW3Z3OQ7m089b1Mv67uNrfxhEttWPRB8eAAstgjCo3L3+9wku3FgbNpYaRDm0aKx6WcA7LGRlM2YgjNFJT35Z6x/Bl6XCEEPfuavDPln1yIpHQpRr+qHhYZ15ZWPsWRFKVu2X09Hxx6amkOnAGJjRpFhvRuajDkMl0sI7XhahHPXsHK7urIyHVo0tO78rSDBPnk2W72ihtpHC1zwVsjPjgwbqF8QSm5UUZ/zyvp8riwfXCc6ur+ItrTvbcS1W3AWKj8x51rEn+wg7zUR6t/0jFK21hoJT4QuN6v7Y0uX57Dj7UVkP6Zc1/nHQnUyklU1e95GzTVyhenkicObRqjrFo0WqbWmaOplI0/B1y6e9f9fAjEHM0d+CfCF8joT0MabKpRloZYbIEnS5ZIk/SFJ0h81NZ2r+fTg/z604bXqFw5unnzvqwduGCwWp17pzEyvXUFEjKLxvS+ONUMOjYoYgKtlJ61NW1n7y+XE5TVy8rB+PP6Rj/kfjGTe659y7vlnsnpTHfd0XM5xbblc5jqOt9xP4fx0J56OOvZVm2um+7wuLNbQrPZQCEsxMo9rf+la5MXnU69RjkbBz9Py59vE+g2GxW7TDdygGnnTZTVG5nnN3ncBqG/4llXrjgdCGzyfz4VD6gUpSlQhs0I9p1rhAOqiFK3h0O6AR26Ft5S+5nnmBmqd50jRUaw6ReRygxAnqXMibRTBFhPOgNtEDX84A5Fx0+D7mu3ev+r2lzm492zdHyJfvOGJeSGdCj+at1ThaXHhadWXJgbLLWvhdw46Q+q4Qbj2aurAvx2Lp1b8frJXZnlvTQpkdbH4U7AlN4hXsWAc1CXgRK9V3/C1m9al4h6zOP9DDbkkSfMlSVpt8neaZpvbAQ/gr6I3G+3kTpYbF8ryS7IsHybL8mHJyZ3r6/bgvwvlNxxcQ241qZnuLiSLFbRtM5ujQm/rF0y5eCYd2/Yzz/v0NRQt654RXbP4Utb9egVtzdtgW57orQwcefwXnHrxSbw88zU+f3c4n753P9eMvYUWuZGn3bdTMmYAZ17yM8+8vIkP371Jpyzn9bTQVLf0gAy5Fr4OhVQXYS4Qk3BkXuB1fYOqsOVzq8YxuN53f2Eazteg9lejeEsg5Ksxon1yjQp5AHZb6PHIbk8CJIhshcK1ENuIJEfD74dRX7PQqGJ3y6OwXtPkxemCMKOiW6PvO9xo6u1H/EjZvjhh1OeeDnNPx4p6b+7416LA64GPXEhEL0HUbGMlAJu9JxMtjdZ9hj+U7JUb8Mr7V69thtQxJYZlZveF7JPZ8MRHrLlvFmvv0+frZUXAp/DOifS5Sq8f4Ujsmrm5Z/4Kdr2vZ5uvHSUiEfWfmkTMEsyJhwG8eSEiQ6ycnyyz+ZwWqm8T19f6nxpal2V5nCzLxSZ/8wAkSboIOBk4T1bdwApAy1LIAio7Wd6DHpD1qPoQtO/0sTShla0XHHgTED+afxJGYsAvB2ikhmjCgRf8S8ygvOaPTlhkjnHh7LO7/oycHVh762cYwWp37Vt9+lDgHmX2uPAYbPY4LFYxSEoWK1ZbJANLE3ly/oO8E/4Ln4St44G7zictOYy3P9jJmec+QVpaGhdffDFz5sxhyfeCqd1UZ55b7y6WXfsqsixjDVN/y7IZUyibMYUhz11O7kXHkZstuARV1a8HtonKV/XDva1/zpB37DMX1ElXCFjtNY265f5QNwBb80GGgYULsFrN64zdHmOEsLjgUzLSriY781aipTFYiEJCpHHkF8+DJYfB4mFUrfzGeEBtGL7DvJ57k7eTOvGjf4ajf0ZC3N+eZpeuzC6UPHKjPF/3vk0WYjHLPcks9/z5yVN0fyMvwdvabkidtO8VToOnsQ13g3l5XHhGArFF2fQ6++hA+NofztbC1+ExVj8EdfPzl7h66kyc7d3G0jlHX8396LXQXqtGjLRd1QAsjv9QQ94ZJEkaD9wMnCrLsvYX+BiYJEmSU5KkXKAv8BvwO9BXkqRcSZIcCELcwWvg24P/00i5Ug1LrR7gQm6HfR/+ecWpmpfFwLEfGid62ILOYeIceEItUepT+mDgdVRckX7b++8AZwc41MEkdd7Puk3C5wgCU9WOOYFlSRdbKVgswZsXAJB8hY3VJS6Wp2sJOAoxx+ph4Mj39Kdsj8LjETOPwl/DOObnfowfUcVzjw5hwQejePiOEo49dhwff/wxEydO5KjjXuTyG/7gzdnbWbt27X7X6Ub1VasCZLc3UBPeZ5rK+JUsYrgJCxOz8jbXJhoaxbWw2NXfXlsmdCCQQ2jYxx0msnjVC1bqlq+48XX9hr8egd2eiM1mLlbiR1TkYDLTrmFQ0SKczizSUy/Fao3CIWXy/9o77/CorjNxv2eaOqpIiCbAFCEQIFGEkLAwbrhgsJ1kYycbx91xj+PdOD92k7gl3uzaiYnXJrjF9i/ruknsxAVjiKmWAFFsigGBbToCCYS6mJmzf9w7TTMjCSQkDXzv8+jRnXPv3HvO3PLd7ztfybNX08/yr4Ff2DyWpj6rgnf01j95F0cM/W/G2fYywvpRm8dOVTcAMNT6qrfNI7A7WuWtRv8t4PMOV3De/BPuT2jSpxdSFS6kbcvDgddq61SubZE+M5cJv7sZLJaQlpvdLywOnodPqwpZgtfd1LFrvCXfLzvgwjs4lO1L2FP1J78+OK1B0zjdRWeP+gyQACxWSm1USi0A0FpvAd4CtgIfAXdprV2mY9zdwCJgG/CWua0ghNUc6tZ0TfpIa3InYmXvCUyRyeoi72Jimq8m89FtrR4YuV8Y/6/yva8OuNAXw56zNpr+k4x46so9vsxTWf8dhdNZA4kn4Rm3ZAAAIABJREFUIPUodRv8sqatz4M/XQ8vGHOcseMcAeY+AKstHtdJQ5DHjLUQl+e71ePjbFxcksGrryyksrKSFStW8INvZ1Fb52T+8xWMGTOGYcOGcffdd/PBBx/Q2Nj+nHXsQF+yDX9BnJgbnDbU5hfM7nT65i/znjZi6g991DmrgCerW7/L8r1tWrvZ9tU1fp/beIibIYHRUW2kPAVGDX+Zfhk3hRX4GZb7Ay032gL7TC117p9DfqdPwjTsKoM+lraL0aRbDa9/G4ZJN0UZwqW1EMu4eHzA5zG24HDJvpa7wh5np+tytji7NrCopbouwAHVE74YQLpveiT7oUB/AKUUuN0c27Cb2h0HvOfS1XSSmi9CVO4DGHAgoCa6dmv2zeugT0Drx4bbQuM2IynNgcf99rEhOISwu+is1/pwrfUgrfUE8+8Ov3WPa63P01qP0lp/6Nf+gdZ6pLnu8dB7FgQf2y9opuZjF9vOb0I7236LbvzSHTZJSqgyqZ1hZP5/kT25lYCf53dJD9jnfQgMuNeYUUq83IpSVvKOxJBXHUNMjgWrzW/e/d058Nc5uF3NOFuMnPBUpdHon1r14V8aWtxeI4wpPURIXVPDPmqO+uKha44GZ6U6XrkCdCPFxcXcdcsoXv/DVD5f/w4LFiwgNzeXl19+mSuuuILU1FSuvPJKnnvuOfbsCV1JLHWab57XWde2Rm31E+RK+freVWbJxgPGPGfGhT4htmnLjAAT69ZH32r9tZDEx0087X5YVR9sR1tZaHab8e0toX0IXI3NbPqXP7L1sbfg3vlec7k/E+0txCpDaCSoCxli/SNZ1gXs/2tZkFl54DWB+cSj1cig/fW1+JzeGrTPWtEVIWmZl/t+vxi/l729bxl57I/Uhyn0UuSzXHjm91vTXFnDjt++x9HlW3G3ONn44xcD1ntqoXtIf8hnit80/ITXOytrfvj0tDFjzH2M/SKgfeu0Wo6+2soisGs4JyvPbPhsOCSzmxARVFzdTEO5m6/vaMHd4pdCs05THtdA1RuG+XzrxCa2Tmlic16jdz45aoQi+Vprm6VU2yKl34VQvJI+VwW+wSekjCcucXTgxv6FK57wxZln5M9gYn0sw982HuCWWIUlyizoYGv1hqFgwz+u5Mu1d3eof30uDvbs1a2qbfnniM8cZnhHf7Ptt2xadg2fL/8n0C5QVnLzruX222/nvffeo6qqio8++ohbbrmFbdu2ceedd5KVlcXYsWP56U9/yvLly3GasbyxA9O85WaPf/F1m/21+FXP+GpPcOa0zuKJZ/f3UXS5ThiZzUyaDh5j7zuBUxwkBzs61dX7CUa3gm3Z4FYkJwWXZA2F8/FbQ68YtBcu/chIo+rHxgdexlnXRON+oy/63t8EuAOPsH4QsL1SilTL9XDSxqFFgZaMvN+HOXYrHPhSlW5zhs7I5tan57fgn7K0/+zJ3uUjywxD7J4HQ1h7rvg7JPv8RTxTMuGo/HQzR1cGF4NJmjAs4POgm3Poe5sDS5yRe91D2j9HkVPq56dwoc93wKMUOM73RR94j/vyiaC2LYWSolUQyHq2bS2g+nUXRxb4nGV2f8/Qsr6+OfBB07xD8/kos3JZfWDlpVNl6NiHmHjl3xnxemAu7basA0NKd0Ef46bOLX4dpcLfav7x56dD6xSXAGkDrsDm8NWabm4wPJ5TMy8hMXVKwLYnW0wBpgOnMKKjo7n00kuZP38+FRUVbNu2jSeffJKMjAyeeuopSkpK6Nu3L9/97nd59dVXqTxm7OfAu4b2Hy4NrlIW+ve70/u5qelr31iS482unN50ir/J1hrj03odDtOkPcRXW7pyyedUHnnd3NgJ3/Fp6eU/CpFy9c1/MuKJN+QxZNCj1GzZg7ONamra1YZ2poChX8OQMKZgf5aVADDSupg+losAw7Pff3pg7zuBSUomPncHljChW0OsgZqrVbXv/e3CcEhz6Rrq3eFzjrfGf548pn/g/bN32V9Cf2nSOpiwqcPHcDY0c3xTcM3wfpfmGSlY/XDX+QoI+WNL9buH+h4N3oDg67FpU7AFacC8zkV9nC4iyIVehSOrfa1Z+zm9nvjE7dceKFjd5guzu0Fjie/aXNIAGwc0cuSl0DHqKWN9Maj2qNSQ23iw+AnyxLSpwRuknXoehRPV5ThbjhmZ3Ny+h1BWzk+83u2nglKK7OxsHnjgAZYsWUJVVRXvvPMO11xzDcuWLeOGG25g5Pn5XP/24zxT9lfKD+zA1UZIbWrybO/ysZol3uV+lxrZ5Zx1px7TrLVm/19LAz67XI0cPvIaCfGmNnjpooDv7P25GWY1dnPQXKh2a8blGNrZwP7/AjWGt2Rc9eW4G91UPPMBmx78Y9j+NPrHOdv9hLqj1dSDFeKHt5FC+M/XwtdZRLsNM31TZY0337in8EooQRaOZOWLohhk+W2HvuPC8GXY6OzLl65iXLpjpXYzLvQlqalP+RC+7XtZqnyjVZhggXnuzHBKT7RDe1jsVqL7BxesiR2YSnR6Erm/+j7jnjCsUFX/E/jCn73EeHEMVdYXgPEbAXMePz6Mtj3b5/+S9sOuz5DXEUSQC70Kf5+tuCmhL89w9Tv2/mtwOErTLjeu49C8o2vmrkZ+HIW9v3HTu+tgzz2+B4O/F6xSivRBV3uX28Jm92lEaf1DmGzbqMoUMyb0vuMTDQcl7W7hi5XX+/XLgtvd+ZC+Pn36cO211/Liiy+yf/9+1q9fz2O/fIR4RwyvbVrM7e/9lvMumMTcuXNZsGCBt8iLB4fDJ7gOHPq9d9meYMxXnqw9NUFes2UP+95dweHFPk1u/ed5HKl6i30HnqSq2tT+wp2KEL/xhnufx25PY+L4jTj2+l6w0grHsGuBz6vc7QzU1sp/tICKBR+x7XFfFILVEXoedvyY5eT//naG33V5yPVenvoJh981ctnves5njl9/10LACN3ykDe/bZO6RUUzxraZodZXSbcajm6DLE8FbJNlXUiObT3nWY3fzamPB6xv0u1XkQMCvLgPuX4DxaFrvGdcNJ5R198J//4IRDcz0BKcZ96fCU/dyNjHjOu6parWm3AmrSibtOk59MnxRTk7kuOxJwZbvRIvsRGXb7xtKpsi5Tt2hjxrbudxthtp5BywRNuJuaPUqOnemjhfwFZXF5/pKD2ThkYQwuDwK7OZ/Y9oqt5wBpnNW/ZotFsH3TRH/hCsHW8ZZwgES5+uucESiqwMed7BziuChWHrmNJBo+5k0Kg7g7ZrjVJWcov/REvzUeISRhIdl0VTvWFyHZx9L5UP/Y2mB26BgXvh//0K28+fw2la/0YtDm3Ki0vMofrQUo7sf99nOjeJTRge8jvJGTPa7WsoLBYLeXl55OXlMasynbqmBtbt387WxHqWlK3g3XeN/PIjR45k1qxZzJo1i5KSEuJix1PfEGhCtcUb42muPB7gCe9Pw96jWGOjsPeJoWHPUfa/W0bdzoMht91/MITGOXqrrza9h03jGTC3EOZOYP9fjbrp/qbx3c/74r+bj56grsJ3vB2/+xvZD84FfMloajZ97V2fecUkUgtGsvnp+VCVBn0NC0tqylxsNiNWvSMZwQ5/sglrrIOmQ8fb3M4SImVua6LVyADHtzjlm27JtpUSpwyPf7cZVeyi9TE7NvVhTzI03v5zplDJr8K+SA24xnxRMs3a0WpM6A1NrDFRAVMnnjn3wd8rafPFOWm2neN/M174hywMFO5D/2D4qiRedSObfvIyaOUtmhQ7IJWRD8yhuaqGLSFkObctAAVufR8W1XW13TuKCHKhVxE1zHiDT/2B8TBKuiL4oVT5rBN7hqLfg6FV8wGP29k/L1A7T7yoC+stlwRaCsrjGrAmQsp3Tv92ckSn44g2EryMLniWDUuvACCpbzGpt16K64f1OE9G0dxwO0k3xNJywI1SCmti6IdWwwkjg9i+Hc952/oNMUKUlLISFTuI5gZftuTEtEKG5c477f57yH/mNg7+fR0D94/mJ3fMQmvNjh07+Oijj1i0aBELFy5k/vz5REVFUVxcQO6EI0yblkD+OI1SCnui8TBtS1ht+5VRRASlwqf+tLWRHbBkeZAgz5yTT7/0QrgUkicNZ/O/GUkqy3+0gPxnAjXc1uFx9buMOvHNVbV8+Zvged/UgpFE9e1DxsP1HP5khdeRy+XyhV21Fj7DbruEpPFDvBq3hwPvBecq958r95iQTxWL3zy5f4Y4qzJC61oL8mr9FnEE+lqEwhpt95rHD5w0fidSqqA68CWt9fhtnF7Sh/asX0NfiGVDhjGdYksMbfGzxUUZLxx+BVtSpoxAWRTRfZPA81vYTvqmam59AbL24OImLHS/IBfTutDrmFgfy5DnjLdta4Lvxhzxnu8NfP8vTrLv30N70tpSFON2Bd5MUUO7zuQV6mHhqoHqPxsWgcyfde792GLxzbPZHIlYLA7sUcnExA8hKX0aAI7+FuyZ4cfkPBnsUTtg+E3e5bHTXmLiRT4t87zxD3eqzx6UUvSfPdlba1wpxahRo7jvvvv44IMPqK6uZtGiRdx1110cPHiU3z15gO9cu53Bgwdz66238t4/PqK2ucEoZxrC4c1fE24zf/ctL4ZfB3DrQsj283Ru8b0URrVK/bn+7ufb3hdGRjGP8G+NI83Y3wDLY9DvsJEgCEhJCp+tLTlvWLve2h62/dqXfyCUCbkjWPHFwvsXU7GaArXWvYwW7fPcrnS3Crs8Fb7X6neauC64P6rtZDyni8WhyD+SSN7htvefNt140Uudlu39C+LSRUbue/AK/ePuMA58ZxjRyIVez4TKGFr2aGJGBz7YDj8VxtHs21ZvOUcPCSVdW+c8Z200WycHzuO6zNwm6Xd1Ph56yJif0txwoE1v97bIGPwtao6WdXj70w3NO1ViYmK45JJLuOSSS3jyySd5f1EOpatr2balgLfffpsXXngBi1KMSR/CZepLrrzuWgoKCnA4jJeb7U+2XwaWgSHqg7fG6obCz+BLI3wwrTjEg/oU2HDfC2HXeX5bpazYEmJx1hrm6sQ+Mzp1TGWzop0uGveG8rI+Nez4UrJGK9/Ui0eQH9UvctQZ+HK03XkBI6wfYlGhp3d2O6/nmH6HifYWXNrvxXJEBfzuPrj/aQDybvS3OlgANxY6F8nRFsrWushtMIOvm86AqyZjiw/Wrgc8Es3+nzd5nfIAkvpN4zhv4gyagugeRCMXej3WOOUV4lHntX0LTqyPDRLig57s+vzHMTnhbx3VBY6rqZkX0f+80zOTAsQlBgqmoFj1XkK/fg7mXpPKG288z9GjR1m5ciU35Rvx6P/1h99z/vnnexPSPP300+yuPth2VrY+NXDZhyFXTRi7guhoP/8Au8/8bosNFEb2pODfS9ms3lriAKP+ZW6748v99fcDuzdoNChj7t1iCbwuE0Yaeb5HPdh+Zee04tEMvn56QJs15vQvPOXnQeqvDVtU+AiHOr2KQ+7/DGpv1Nto1l9zTBtTIFtPTmazs9WLkkXD/HsZ9+w1WPwc4pSpW4ZKhBOKvjPGtr/RaaCUCinEAfrdE20Uq7H4md5jjGtB9ZBIFY1ciChGLorii+GBmnDcZAv1a90MfSXwQRYzVtG4WZN205m5zEe8F8XOq4Kd3qxxPeO56k/rKmajJj0dcrsxhS+hddfXgD9V9h96lqyB8ygqKiJ68mzumDyb2uYGjs0eyuLFi/nkk094//33Aegbm8iUgdkUDBzNlIHZpMWagielCkqWeRO/pKVcTULCVJqb95DU5wKs1gTGjHqH8k1GiJv/g7h1TfV+F09g79uBedG100X9N75QwJjM4JAngNHzvs22x99m8PXn40gKrJZXzWsw0gIng18uR/74qiAnztxffZ8TW/ey7y+luPyKuwyYW4AtLppvXv3U2zbm4evoDOdZ/4xDhawqHRYbwQ6JW52BaWEbCXRojFfnU6eXm99PDljX3/IL9rvnYSV0wZrWDPr2NG8CoIHfntbhfncJfSuNsrdX/J0k9TeGWd8kSV3VvX0wEUEuRBSOzOA33qjhiuxPg01xOWVn1umkz4Vda67vaibMeBe3uwW3q4momH4ht4mOGxSyvbtITprFseMf4XIGmyQTomKZcfXVXH311TRX1bL4vvmU7dtG2b4vWblnM+/vMKYOhqcMoGBgNgW372bGwNm0nDRqgcdEjww5D5018Bd8s8/0CRi/kZiqC4OmFtLOzwkS5NH9U2g64IsAsMY4sPWJxXnCF36U/dOriR2YGjb+Oce2ka1MYJTjk5DrW0diOJLjSSsaTeLYLGo2f8PJE41olxtbnPGiFn9eP+pMZztP6N7pkmS5MmR7uuUeKt2/D7muUQcWoGmv2E6urQKNm81Ow2NetYolzbA8SIbl/qD2cCiLhdzHv4fWmqjUjgn/LuOhJ2D7KPInrEMpRbK6unuP74eY1oWIZ/CTPZOEIRSOLnSq6yxWWyx2R1JYId4bGJB5LwDHanyOdxN+d7N3edfCjwFoqa4lMyGVuaOL+fXFt7B+wXv8/2t/xt0ls0gZUs/bXy7l3ru+YlLeAu6/G1564TBff3VeQM11D2mpV5OeZpi8Uy9PJ2decJlZi83KkB8GFi5JP38MqVMDc5UPvMYXX25x2IgbkkFbxKgcJtpbiLcUtLlda+yJsaQVjSbzsnz6X+lLo+oR4h2pzX26tBbiscpXjOaofola96fezwfdbTtN2uiLg/Bav1Kqw0LcgyMloduFuIMssDsZMf6poIJFPYFo5ELEMeFgDHt+3EL1G8ZDOlwIVncwemU0Fd9p5uQBQxMZ8b+nnjXtXMZq9Zmed+y6jdq69Uwc7/NiPr5hd1C61P5XTSbjwnEca3qT7EmV/NCWRVOjm40b6vlq11UsWfIpzz5ziGefKSA5OZmZM2dy0UUXMXPmTEaMGIFSin7pN3Ds+CIy0m8I27f44b4XoNxffx97YhzKaqGqdAfDbr0YgIRRvvrVnTVtnw4Zl0zg8McbGfnj2e1vfJrYyMCJER+fqC5nsPUZvnD68pg36Z0kMAOAY+6/trkvT4x1qrqRGNW1VdW6kxg1hhb9DTYVenqlu1GnWne4J5g0aZJety44REE4t6ld4SImxxKYJ7mHOPC4EVLUf17vsQ5ECt45a5OJ4zeGznVuMvBbhcQWtLBjV3AGs/xx5ShlpbKykiVLlrB48WIWL17Mvn1G6NSAAQOYOXMmF154IRdccAGDBw8O2oc/R5Ztwe10BaQa1S4XyurTwqrX7iR+RGbQfHh3oN0aZ22DN/7+THDA9SgH3Y8CMN5WiU0Znuytq6NNtLewzTmNBh3+WT3RfnrFV3obTl3NMff/kma55YxGfCilyrXWoSvZ+CEauRCxJEzveZOWBxHgXcfJk1U4UuJD16kGksYPZfOu872f88dtYP3nRllPj5kzPT2d6667juuuuw6tNRUVFSxdupSlS5fy4Ycf8tprrwEwfPhwZs6cycyZM7ngggtIT08POFbfkuAMY/5CHCBl8ojTH2wnURZ1RoU4QKKaxUEMQe4R4qHQWuNgIA2sI1X9M1X6tYD1rdPARjI2lUJfa8eqy3UHopELgtCjVHx1PzUnPvV+Tkm+kiEDHg6ZiMXjROavxU80C1t0FLfbzZYtW7yC/dNPP+XECSPOeezYsV7BXlJSQlLS6WUYO9vwaN/+GnVb9crzbU1omtnl+hYntOH/MNa2kyiVFfY7QjCikQuCEBFkZtwcIMitlrgArTfrn2dgT4ylT/bALjmexWIhNzeX3Nxc7rvvPpxOJxs2bPAK9ueff5758+djsVjIz8/3muKLioqIi+ud8fjdgZ3ACIfRtjK2OUM77SllQRGDDcP5L4rzcNA1508IRjRyQRB6lLr6z9leEZj8JmvQw8Q1TwcUMZnJrbbfyPaKH3o/n6pG3h7Nzc2sWbOGJUuWsHTpUkpLSzl58iR2u52pU6d6NfaCggKios4N58aTuhILMUG1y8Np5R7N3aVrOOp+hXTLPd2WPfBsoqMauQhyQRB6lKbmb9jyZXA2s1AC2uVqZOPmQu/nsdnvExV1aklMTpX6+npWrVrl1djLy8txu93ExMQwbdo0SkpKmDFjBlOmTDlnBLuHUII827qaOEu7skfoACLIBUGIGE7UriEuNoeNm4u9beNylmK3B4b3HKp8xVua1GKJJS93dbf2E+D48eMsX77cO7/++eefo7UmOjqawsJCr2AvKCggOrpjqUYjFa1Pcsj9Gw74xY+fLZ7pvQER5IIgRBz+Tmxjst8lOirQOWp7xY3U1RtlRGOiR5Iz6q1u7V8oqqurWbFiBcuWLePTTz9l48aNRqaxqCimTp3qFexTp04lJqb7S1yeady6mQ1On8ldBHnXIc5ugiBENG53U1CbR4gDpKVe053dCUtKSgpz5sxhzhxjeuD48eMBgv2xxx7jkUceweFwUFBQ4BXshYWFxMaeuSpf3YXCZ17PsXWtv4LQMUQjFwSh11Bbt54du4y66dnDXyMuLtfM3+1EKXunws56ipqaGlauXOkV7OvXr8flcmG325kyZYpXsE+bNi1iveJDhacJnUdM64IgRCQeYe2wZ5Kb8yEHDj3HwcN/YMLYVWzcXOTdLlIEeWtOnDjBqlWrvIJ93bp1uFwubDYbkydPpqSkhJKSEoqKikhIOHM51LsSEeRnBhHkgiBEJPsP/p5DlS8CZrpWU7CnJF1O9fEPABg3Zil2W+/Ic91ZamtrWb16tVewr127FqfTicViIS8vj+nTpzN9+nSKi4uDMs/1FnY7v4dDZTHQ+que7spZhQhyQRAiktq6td486v6C3J9I1cY7Qn19PatXr2bFihWsWLGC0tJSmpoMf4FRo0Z5Bfv06dMZMmSIxGefxYizmyAIEUlC/GTvckPjl0HrMzNu687udDtxcXFcfPHFXHyxUWGtpaWF8vJyVqxYwfLly3nnnXd44YUXAKMIjL9gHzNmDBaLVKc+1xCNXBCEXodHC7dY4nG7A4un5I7+EIcjsye61Stwu91s3rzZq7GvWLGCAwcOAJCcnExxcbFXsOfn5+NwSEGfSEVM64IgRCyhzOke8sdtEHOyH1prvvrqqwDBvmPHDgBiYmKYOnWqV7BPnTqV+PjuL7cqnB4iyAVBiFgqvrqPmhPLQq47m+fHu4rDhw+zcuVKli9fzooVK9i0aRNutxur1Up+fr5XsBcVFdG3b9+e7q4QBhHkgiBELK01crutLyedR8jN+RiHvXd6bvdmTpw4EeBAt2bNGpqbmwEYMWIERUVFTJs2jaKiIrKzs2WevZcgglwQhIhle8XN1NWXez/n5X6G1i6sVjELdwVNTU2Ul5ezatUqVq1axerVqzl69ChgzLN7hPq0adOYPHnyWZGBLhIRQS4IQsTS2FjB1h3fAiAvdy0Wi72He3R2o7Vmx44drF692ivcv/zSiBiw2Wzk5+dTVFTk/evXr18P9/jcQAS5IAgRTX3DZmJjRqGUCPGeoKqqitWrV3uF+9q1a73x7EOHDg0Q7BL2dmYQQS4IgiB0GS0tLaxfv95ril+1ahWHDx8GIDExkcLCQq9JvqCgIGLzxvcmRJALgiAIZwytNbt37/aa4letWsWWLVsAsFqtTJgwwSvYCwsLGTRokIQNniIiyAVBEIRu5dixY5SWlnoFe1lZGY2NjQBkZmZSWFhIYWEhU6dOZeLEiWdlffauRAS5IAiC0KOcPHmSTZs2UVpaymeffUZpaSm7d+8GwG63M2HCBK9gLywsJCsrS7R2P0SQC4IgCL2Ow4cPU1pa6hXua9eupaGhAYB+/fp5hXphYSETJ048p0PfRJALgiAIvR6n08kXX3zBZ5995tXaKyoqACP0bfz48QFa+9ChQ88ZrV0EuSAIghCRHDlyJEBrX7NmDfX19QCkp6cHCPZJkyadtR7yIsgFQRCEswKn08mWLVsCtHZPYRir1cq4ceO85viCggKGDx9+VmjtIsgFQRCEs5aqqqoArb2srIy6OqPkbXJyMlOmTKGgoICCggKmTJlCWlpaD/f41BFBLgiCIJwzuFwutm7dSllZGWVlZaxZs4bNmzfjdrsBGDZsWIBwnzBhQq8Pf+sWQa6UehSYA7iBSuCHWusDyrBpPA1cDjSY7evN79wA/Ju5i8e01q+0dxwR5IIgCMKpUldXR3l5OWvWrPEK97179wI+RzqPxl5QUMDIkSN7VarZ7hLkfbTWJ8zle4EcrfUdSqnLgXswBHkB8LTWukAplQKsAyYBGigHJmqtj7V1HBHkgiAIQldw8OBBr1AvKytj7dq11NbWAkaq2cmTJwcI94yMjB7ra0cFua0zB/EIcZM4DOEMhpb+qjbeEkqVUklKqUxgBrBYa11tdnIxMAt4vTP9EARBEISOkJmZydy5c5k7dy5gmOS3b98eYJJ/4okncLlcAGRlZQWY5PPz83tdbHunBDmAUupx4AdADXCB2TwA2Ou32T6zLVy7IAiCIHQ7VquVnJwccnJyuPHGGwFoaGhg/fr1Xq29rKyMt99+27t9bm5ugHDPzs7GarX22BjaFeRKqU+AUMVn52mt39VazwPmKaV+BtwN/AII5fev22gPddzbgNsABg8e3F43BUEQBKFLiI2Npbi4mOLiYm/b4cOHA+ba33zzTRYuXAhAfHw8kyZN4tFHHw34TnfRriDXWl/UwX39D/A+hiDfBwzyWzcQOGC2z2jV/mmY4y4EFoIxR97BPgiCIAhCl5ORkcHs2bOZPXs2AG63m507d3oF+9q1a7Hb7T3St846u43QWu80l+8BSrTW31JKXYGhnXuc3eZrraeYzm7lQL65i/UYzm7VbR1HnN0EQRCEc41ucXYDnlBKjcIIP/sGuMNs/wBDiFdghJ/dCKC1rjZD1taa2z3SnhAXBEEQBCE8nfVavzZMuwbuCrPuJeClzhxXEARBEASD3hP5LggrGeDsAAAGwElEQVSCIAjCKSOCXBAEQRAiGBHkgiAIghDBiCAXBEEQhAhGBLkgCIIgRDAiyAVBEAQhghFBLgiCIAgRjAhyQRAEQYhgRJALgiAIQgQjglwQBEEQIhgR5IIgCIIQwYggFwRBEIQIRgS5IAiCIEQwIsgFQRAEIYIRQS4IgiAIEYwIckEQBEGIYJTWuqf70C5KqSPAN1282zTgaBfvsyc4W8YBMpbeytkylrNlHCBj6a109ViytNZ929soIgT5mUAptU5rPamn+9FZzpZxgIylt3K2jOVsGQfIWHorPTUWMa0LgiAIQgQjglwQBEEQIphzWZAv7OkOdBFnyzhAxtJbOVvGcraMA2QsvZUeGcs5O0cuCIIgCGcD57JGLgiCIAgRjwhyQRAEQYhgzjlBrpSapZTarpSqUEo91NP9CYVSapBS6h9KqW1KqS1KqfvM9l8qpfYrpTaaf5f7fedn5pi2K6Uu9Wvv0fEqpb5WSn1h9ned2ZailFqslNpp/k8225VSar7Z18+VUvl++7nB3H6nUuqGHhjHKL/ffaNS6oRS6v5IOSdKqZeUUpVKqc1+bV12HpRSE83zXGF+V3XzWP5TKfWl2d+/KKWSzPYhSqlGv/OzoL0+h/tdumkcXXY9KaWGKqXKzHG8qZRynIlxtDGWN/3G8bVSaqPZ3mvPiXmscM/f3nu/aK3PmT/ACuwChgEOYBOQ09P9CtHPTCDfXE4AdgA5wC+BB0Nsn2OOJQoYao7R2hvGC3wNpLVq+w3wkLn8EPAf5vLlwIeAAqYCZWZ7CrDb/J9sLif38HV0CMiKlHMCnA/kA5vPxHkA1gCF5nc+BC7r5rFcAtjM5f/wG8sQ/+1a7Sdkn8P9Lt00ji67noC3gO+aywuAH3XnOWm1/kng5739nJj7D/f87bX3y7mmkU8BKrTWu7XWLcAbwJwe7lMQWuuDWuv15nItsA0Y0MZX5gBvaK2btdZfARUYY+2t450DvGIuvwLM9Wt/VRuUAklKqUzgUmCx1rpaa30MWAzM6u5O+3EhsEtr3Va2wV51TrTWy4HqEH3s9Hkw1/XRWn+mjafUq3776paxaK0/1lo7zY+lwMC29tFOn8P9Ll1KmHMSjlO6nkwNbybwjvn9MzYOaHssZl++A7ze1j56wzmBNp+/vfZ+OdcE+QBgr9/nfbQtIHscpdQQIA8oM5vuNs03L/mZl8KNqzeMVwMfK6XKlVK3mW0ZWuuDYNw0QLrZ3pvH4c93CXwoRdo58dBV52GAudy6vae4CUPL8TBUKbVBKbVMKTXdbGurz+F+l+6iK66nVOC438tNT56T6cBhrfVOv7aIOCetnr+99n451wR5qHmIXht/p5SKB/4XuF9rfQJ4DjgPmAAcxDBXQfhx9YbxFmmt84HLgLuUUue3sW1vHgcA5jzjVcDbZlMknpP2ONW+95oxKaXmAU7gT2bTQWCw1joPeAD4H6VUH3pRn1vRVddTbxrfdQS++EbEOQnx/A27aYi2bj0355og3wcM8vs8EDjQQ31pE6WUHeMi+pPW+s8AWuvDWmuX1toNPI9hVoPw4+rx8WqtD5j/K4G/YPT5sGle8pjTKs3Ne+04/LgMWK+1PgyReU786KrzsI9AU3aPjMl0JroS+J5pssQ0RVeZy+UY88kjabvP4X6XM04XXk9HMUy8tlbt3Yp5/GuANz1tkXBOQj1/2+hDj98v55ogXwuMML05HRgm0vd6uE9BmHNKLwLbtNZP+bVn+m12NeDxEH0P+K5SKkopNRQYgeFM0aPjVUrFKaUSPMsYDkmbzT54PDhvAN71G8cPTC/QqUCNacJaBFyilEo2TY2XmG09QYB2EWnnpBVdch7MdbVKqanmtfsDv311C0qpWcBPgau01g1+7X2VUlZzeRjGedjdTp/D/S5nnK66nswXmX8A3zK/363j8OMi4EuttdeU3NvPSbjnbxt96Pn7pTOecpH4h+FhuAPjLXBeT/cnTB+LMUwtnwMbzb/LgdeAL8z294BMv+/MM8e0HT8PyJ4cL4Yn7Sbzb4vn+Bjzd0uAneb/FLNdAf9t9vULYJLfvm7CcPCpAG7sofMSC1QBiX5tEXFOMF4+DgInMTSCm7vyPACTMITOLuAZzKyR3TiWCoz5SM/9ssDc9lrz2tsErAdmt9fncL9LN42jy64n8/5bY/42bwNR3XlOzPY/Ane02rbXnhPzWOGev732fpEUrYIgCIIQwZxrpnVBEARBOKsQQS4IgiAIEYwIckEQBEGIYESQC4IgCEIEI4JcEARBECIYEeSCIAiCEMGIIBcEQRCECOb/AFVx6M408vb0AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import numpy.random as nprd\n", "\n", "\n", "def gen_path(T):\n", " X=[]\n", " x=0\n", " for t in range(T):\n", " x+=nprd.normal()\n", " X.append(x)\n", " return X\n", " \n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "# 设定图像大小\n", "plt.rcParams['figure.figsize'] = (8.0, 8.0)\n", "fig=plt.figure()\n", "N=50\n", "T=20000\n", "t=list(range(T))\n", "corlors=np.linspace(0,1,N)\n", "for i in range(N):\n", " x=gen_path(T)\n", " plt.plot(t,x,color=(0.8,1-corlors[i],corlors[i]))\n", "plt.plot(t,[np.sqrt(2*(n+1)*np.log(np.log(n+1))) for n in t],color=(0,0,0))\n", "plt.plot(t,[-np.sqrt(2*(n+1)*np.log(np.log(n+1))) for n in t],color=(0,0,0))\n", "plt.show() ## 画图\n", "fig.savefig(\"law_iterated_log.pdf\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/lib/python3/dist-packages/ipykernel_launcher.py:6: RuntimeWarning: divide by zero encountered in log\n", " \n", "/usr/lib/python3/dist-packages/ipykernel_launcher.py:6: RuntimeWarning: invalid value encountered in sqrt\n", " \n" ] }, { "data": { "image/png": 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LbCN8FwsRtJAYihrb7dQ67gq8L0z6Ew2OvwXep1kOpsu9hFr7HXS6lzAxLTgr3XDDJzjqdNzHuv9bxKhLSkmfkq/P++Ia0iblkjFzaFjblPLQ5fmSHbYFTEz7LyYjsd/vU/HTN8Lej//zwQGB9TP0pAkUnTNdX8OjcDR0k5CTHCbWqRNyyJg5FPuODrIOKKJ50Tbs1Z04G4NliQvPmEL92xvx2txR2zL8nOnkHFTEyoveifgsVKwButbowbbfJ27JSmLmEydEHCcI35b4FexopUkPWgKfHez7WMGOosBHscx8tvUOkqckYlvjAIsb8hugMSSFKqMj4hgAVk2Hwz+CdZPDNtd9/CUAla++A9uLg7ufVh6235AzBjY6Tx6XEnht324TwR4Aft8vwLjEN8g0Hw2AV9lRuDEbadi861DYWGs/OHBchS2X0pTwQMU299skmEaQYprZzzW9AbHui63O89jqPK/PfSYnLSHFNBu3asNiZOFRnTQ6nmS77aoYFzdR1pYd9aMa+62B1yWZTbhanay860G4/H66WILdVcnqs5ZGHOeo62bDgk8ASCpKx76jEyBgqVLKTYvrFbb1XBw4ptZ+N8OT/9znd+tYXh+xrbdYA9S/uQHDbGBOTaD6XysjT2QymHTb4WGbcg4swtPjYtm5C8PaOvtfJ+l74rSIrFMKTpoQtq+joZtVl7wbts/QkydQ/4aOFyib/2pgu7vNjqfbhTnVitfhYfvfKxhx3kyW/XwhWfsWMvbqA2L+DoIQjfgVbItvVtGVCs154EiAzPbg515TePCZV4E5UrDXnFgFZjdg0SL/wO9h9VS4TfuusQXNdfQkRxzP2E2wOcRnvnEcJNlhxA7YHjRhu9vCR/hFlw7MvG0YBsnjUrBt6qH90xby5g353voXvy+E+n43OU4OvLYaw3Gp6j6PVcqDYZh9rxWbndqiUpLcyUbHPEYmPECSKTJGosKWF/OcpSndVDuvp859T8x9Cq03kG46hDTz/oFtFiMLgGXtI8P2TTCNxOnd3uf3CNCUC9fq1EP3Ey6fuXc8XHsHdGawmkix7o1frEEL1pibJrKl8JCI/eoc9/cp2EopNt4cKc6xqHttfdTtM548AWtmdEuIOcXK1L/8mISc8M8Nwwhzi7V8up3MOZGD5sQhqZS+ciquVhuN721h2PzJGBYTGdOGRB1YLPv5wrD3/oC3tq9r8DrcmBItOOq7WHXpe0y5/2iSR8iAW4hN/C6vmWLX/3f4HoDOdDCFRHie/VxYJHn7yhrKrrwPR3Nb5LlChD0hKw8O/iz42crpwdddIUFAJTpIhaM/CD9XzXDYMrZfk71hGbjojr1zEgDtn7dRde/WAR8nhNOfWAOU2zJoc2sfZoUtO2R7Op3exYEgst4oHIHXU5K+pjSlO/APYHjCjZQkh0dnF1nvZGziK5SmdDPM+ocwsQZweLdHzJzNRg7TM5YzK3MHMzO20JtU837MTN9GaVYr0zNWwtsnBj5bcUFINkNndOEYdVEJ0/59APzmL1E/B9iyYD20B4/P2HIp2JIAL0pFj8judH1K+UO/D2544gJ4+lz4xVMATLrrCCbdcQSznpkXEW/Sm1hi7SdpWBqmxL7nKjmHjMScHKO8MWDNTqbwzKnUq/vY7PgZrZNvwkgKPrOznz2pz/ODjlL3Oj1sf7wCgDWXf4Dy7FwKqPDDIn5n2MkOSO8Aw+dg9pjB3Cslw1CwfQRsHc1mzxIYAxseeZPkmmPC91NBwZ5W+CHltcXBz9ZP1LPm8ZvgxTOD2w/0BbBY3TDnGz0rDx0wlAcjvnuTNDrKTL0PEvKDHYslK3Yn80Ony/MV7Z5IX2R/pJr2Jcs8l2rXdQBsdp4Gztj7l/WkMibhObY4fwpAmiloVp+d3BLTj2sYRoTJPRZbuy+kxfVy2LbJaR+RYtEDBrORCkYqpVmtlHWn6sGpoejeVsXy6z+EM17QorVkfv8XM7vhsYvAaaUn7Vwq7U/CLIKiWlgDR38Iz5wDnxymj7nyPrj3CsYmP8/m22qBh+GJCyhvz2Vs6rMkGCNIsejBrlc52dA9Dz71+fTv9pn2XQlw+GI4YjHrMDM+8TXWOH/PNLWMkpd+gqvFhjU3GcMwaHx/C7WvrmPGY7u3zMMq22wcSpu7pyaVk2SaGPiswfUY1a7rgzs//k/ya2/GVvAhrWYHqbMy6V5m7/P8vf31tqoOUoqz+jzGb3afct9RJI/M3Jmv84Ok5e1uHJVu8n+ahiU7xqJQgwTj+5S/O2fOHLV0af8muIFQ9uiV8Oi5sHYSOBPh5NeheCu8HjI6v+1aOPv54Psr7oPy2bBjRPSTJjgoXT1Vr6WtTCybvhVcVkjtZvSbNrY++pHeb8J6+PH7JJqLcXi2BY+/7iZYOyX8nJlt0B58QPNOGsLwS0bFDDSL+X19ldGGnV9E4fkx2v8Dxq3aWG4LLhQ3KuFR8iznoJQbu1rHGvt+EcdMSfqKZNM0INzv/W0ZZvkjhQl/2qVzuL0t1NhvpdH5j7Dtk9M/IcU8PXzfTgf2HZ1YJ3az6uWr4eXT+z2/+drHmTDjATo/d1BbOhePpwssLnAPcCDoSIBL/xr9s0Q7PPKb6J9dEBKA98QF4Z+ZPHpwbdazz0LrDQyz/mFg7fkWOLxbWWWfFvPzVNMBFCc8xmr7jAGdb9SyclJHDCOpKJ3Wz3eQOi6HNVd+iNcePdANYNYz81h79f+wZCaRtc8whs6bgGEy6Nnaxto//C+w3+znTsaUMLhFaE9i3+pi9eHBDIiCSzPIOSWN5HGx7+eyZ34OwNST76SrfgN54w/FtsHJmmN0IHLWMcmMfXz3loI2DKNMKRW7mId/v7gV7L9dBZeE+AQPWgL7fQmvngZA8pGN2CpMUBEy0/3dA/CfE4mJ1UnpmqDglo3fpF+kdMPxwZnb2KsORqV0kJF4GMuqJ4EjEf56Cbw1D9I6ITk46jZN3YZ3dXHgfenn3y4QpfKOzTQt1Kt6TXh4Cuklg2/kXXbSQlLGZTH53kMHfExFzzC8dFCS3BHwLffG4d3GKvvUsG2zkusxG0EB7vJ8TYvnOUZY72Gb81cUJdyG1Yj0Yda67qbGdUPYeezedWxzXsy4xFdZZZ8ccYyf0QnPkGPp25zbF93uMtZ1HRWxvTQrssqeraqDNZd/ELE9Kk+fG3wdzRPz2inw51vhrxeDb2CYn3A+I1PuYXXH/ti960kwinAqXb8/5bZX6NkSxbXkZ1YFnPEi5PtSGD0m+LWvzG/pUrjsIXLN59Fsfzb8OKsTDLAahUxP2hARq6GUB4fahtXIx2wMzBeslDci37ysZ+dKFs9ObsRkpPR5XDTLiavdTtWTy8k7ejSJBamsuvjdKEf2T38ugu8zXreDiucuZPTBF5EzZuf6vo5PbDQ+10XyRCu1D7aTOiuB7mVB01fxJ1VsOzT65KVk68jA/WPf5MJR5SZpnIV1d7+B+51Z2rpz/hOQ1wSpPbDgprDjZywtwpq3+wZKP3jB/scVP2PB/b3yKjPbodv3UCU69OzYGZL+kmgHR5KOBo/mZLZ4SBiWCMrA2+PF3RJi4jZ5IVnnaFszssAAwwzOOje4ep3LHOKnSnToDsttxZSusKR/+7QhZ03QT5pQ2H/6zPcKBc6GYLpNwtCUPnb248GpqgLvrEYRRhQvj1Nti9iWYBTvfBt9uFULXjpIMEbRW+EUzrCcZrORi0c1YyYLs9G3qbMvFA5c3vDV36ymQgyizxSc9SECoQzdAZk9YHZjpLhRPfp3MiUn4O0ygUfB8Go9k+1NSDYFKT2Q3QKG/m5m0vBiw630YNFqFGCQhKfLhafb13kmOvXMO+JLmUKu5/s/vwlT+wi8XV4YUq9dSqGEtK/331DfC56Qz0fiD9NRvs2hYzqnqgRU4G8UC7ORjYlUXCpyQSGDZKxGMJXNQwcGCbhV+N/KRAoWo+9ZmafbhaerD19LCAlDUnE26L+xOSMRc7IFr8ODu82ONScZlMJIMKM8Xi1M38OiLsrrxutx4XHo2I2EtPydOt5ZFdtCEUFhDdQEF34ypRiYUky6D9+JsAEjEZTXw4rKMnLyC/o/YKDnHaBgx60POz05gZkcHL4xfyO4fX80kwfSnTqC3I9f79wK0mOUZ0zbCtt86Tm9Xc1FldCTAk36xrNkmHBbvJG/coJDm+lB91MmYEwViXkZpBUX8W1p+7QFT5evZ+qE3ON27gHYmzQvroKckA0uyD6wEFNi9FGswkOL+0VC4yYthpNM82H4RbTZ/ZzvE71PlvkkDMOKiT1T8CMUl6rFYgzBYOCjcKU8uN1tWK3hZWfbXe/jVi0Qcq4s6/GBWWTX+mYSC9KwZup7yra9gx5PyKy7OQ9Cx282yJ6bhMliovmNHn1/WsDonInyC2tJme7k3p4bfqwHyNwEU1cDrb5/EPw7NJBm2g+LkUfHN214bcBBn4EysJQfibvHoQe33algjxKr4a8blAi0A/t8jWWoCzctwX1Mvh7Wu4Ms61w8tNPp+ahXOwB2kGv5Ka4GDx1LtFUrbU4iiSMtOFUtnZ7t6Hulld7xt2Yjg2RjKommyFQ8t2rFrZrx0kWyaRpKOTEZyUQzTzhVDZ2ej8HrBIKCn2Wdi9lIxaVqcatWFF5STNMARfPH4RH+pgQzXqd+rtOn5pOQpweztu0d9GzVv7+hTCiLF0KTEfxjFxV8nXPISAwD2MOZJP7gQo/TRvuOZWQX74fJbPFt66GtqgJUArhTwMgAi5vUvDEkZUZatZQHOj62kTI9AWu+mebXfIPRWHOSaSt1Wq2f6StgNECNXnb5vyfo36MTYox3ozO0DgrqACtW696JFYrbGXbZI3+A39wdvvGSh6GpAL7aR78fVgNfxjDDjNu0W9oxYHxm9WlXX0xi9rc3Z4eu8lXy2f57PMWrp2ctJnMqqx+/Gz48msJH2skvmIvFMrDZZI39LqwNM9j+29gzi9I354W9b3D9lSqXz4epiOgnS1O6o/qcBxrQ9V3T07ORzZuuwunUM/NRo/5MXr6OMvZ47SzrCHZiCcYIpmcGC+x0LK8PpEKVvHAKHSsa2HSbzmJIGZPF+BsOYfmU2ohrZh2bgjnNoPmVb/mbrJnS/z4AX+0LL5wJ7x377a7jY9KmVtZ1+fKqzW4dROr/w1vdYESfJo20PkjVtGNQjpB+7plzYE5ZH1ezUJLcGrM0ayix8ttLs1ppbn4fF1VUq2uCJY3DLuMCU5T+12OC8/5J/o/HMPJXswGd/21OtmBJD1ep0LzvnWH2sydjWEwYUVJZdwVb2w7WLIwep1Hysydx9rSx6vHb4KHfRe5w/H9g/68onD2fIZOPxWyx4vBuZ9Op3dgrYljcPj0YcoODOatRgMvZBDP1M5L5z9dInunCnVodLFQ0ZU34OUwKLn5EZ/wc8T84/RVYcpA2g5/+UrCtN1wf+HuVnvv0wH+UAfCDN4mX3f0nuPrW8I0XPQrzn4fzn9Hvh9bB15HBRqR1wqhK3SmEBtv4f6o9oYHZLXDkIsaffyYZ44q/9Wm23ryJlncaAZj2ymwSC4Mmdq/XRW394xQMORezOX1XWwxA2fJZ+oXfx3PUB3Dop5TO7HtBiwbH33F5G6hz3AM/D978GbcuoeNP4ZaRyfcfRsqYzMACJwEhdlmCEfw+/2ZffB8F2+1qY/nyoyO2zy75FBRUVByiAxN9/t7e/urtT1TQ+G5k+hZAycs/oXz0APOx+2H2+pE4d7hZfaQeVIz+fCtbs8KreI1LfEPntW8bBfmN2nzdpzAGGfrbBOr/EnvQljDcjLPaA1/sHxYDEsDwgjIxK6MasymFBtfjVLku1+I3PUqp0uUzwOpmYuIimt3PMNR6eSAlb2ZydSDHXSnFjhtbSdsvkezjwn3Uba532dx9VuS5t4/QbrVQn3asCUAs0W7NYvaQKkzW6IOGhoaXqdp+FxOHvsb6y78ObB9x/kyqnlyunwdXAvnHjaHxnej3R8bMIYy9+gCUV/WZwrYz+AO2wvAaYE+CFBs05MPDv419gutugu0jYewWhs87lOqnVsKDl0fuN2M5PHMuJLjCSvoCdDdtYd0Tj+uiVmn6mR91wC/xFC9jx+L/wNrJ0J4J2W2Q0R7sN7wGzH8TO1dDAAAgAElEQVQl+t+jOwXe0RkIU+bdSnLWt7eERuMHbxLHFuMGrAkJQtg8Nvo+VhdMX6lnEaGCva0YPJY9M/tuzYEV03F56vF6h4JhBMpgKqVwVrtJLOr/oRp93biAYG+/Zyvj7wsGQW3e9ns6Oj/D7W5h1IjrAttdriaUcpGQsHO1jzduuVS/CL2/N4+FQz+lufU/5GZHlmXsdpezruvI4AZviMreeTUdBfVwxVdw35WBzWvfvg4ueDJ4LVekSTvVewDd5sg1xLPN82lteZ8JxicQZZCu3F68Li/m5O/uUejsLMPZYiM1ZSqrK4+Juk9FeUjhkfYsUgvGMCn9vcAmr8MdWG0qwJbRkOCEomrGXnws9vXBWvZp+yQy4aWh9Kxysm5uuH915rIiXE1e1s+vY8K/h9Kz1knlH7RPd9onhSSO1Pdd0lgrRX/OZsctrdhfmgUP6JlK0d9s2I/4CxmmoyJnLzEwjWhj5gczMIXkLhddGV5x0N3uYflMbUZ2VvtmqAd8CctmRZ7QN3Bb1jGc0qxW8i0XaMH+1Pc7zqqAv/8K9vFNCGauYObWTCxGFm13TaA11aD0Mt25t33QQ8/6BmofbgmY7Rv+2QkTPoMNE+GrfRmScT4Ntkdh+ygyR8+kXfkKpCi0u8sZPhOekriMNvPrpJn2Y4vzbNxO38DLbSXZPA1lsmE31urnwaTA6qLJ8TQ5lpOxeVaTYuyDyWQCLJSX7Rs47/r6n8C1gNegsOhChhSOwzb5RZqadLpYI8CpG/XO/mfIR8fyhsA9NP7PB5MxK7ys7M4SEOum3MCsNP2CLXQ+MabvA7NbdP8HcPMC/f+Bn1G94CAgMsiSSx+GoQ2w8CQKZsyFmdBevYKelkpqKl7R+xSG7N+eSeW7fkvEJP37ZvuCIjsytWh3+KyaT/0SRm/BOOJLSlL0IHm78woaUx+D+a8wzPJHkhN2r1jvDPE7w/7zLXBrr6pKFz2qc6L9N0XdUB1k1pusVl3wZMMEOOY9WHQkNOfANt+NN2Zz9FFYf2S3YHTloFww6fUietba2T75YDglJBdz+gq4/kb435EUXTCdHV1/ZtzWDWz6RS3jHh9G5uH9R7A6G52sPKmMnGPyGH3D+MD2wGwYyMs9jRGFV9PY9Dw7au8D6HdWDDowxkgwYbKag+d79ScQcm4uvw+y25g26W1WrTsRUIwafy2Vb72hf9fQ365+CFztc108HTI6LysJN5s975vJLP4RPP5reOi3kNmh0/ayW6GgntmZ9VRcez+UlMPctwGd91xxsha63qZ10JHpAMWXzyZj1hCsWYl4elyYkiw7tfqSy9WEzbaZjIz9UB4vPTvqSchPB6sLiyWLHRuepOFP2do3fMwHwe9zli+tcO0kePNkzJe8gCd9my70k9yjTck/fhesHkrnfAMQvYym1wis8556bBvd7wZdEknjrEz5YFhACL1ORcUEPfMOFeRQPN1ezKmRszuvXVExKfqsfeiFGdQ/Hlmqd8qHhax5+BE47GOYsxRyW3bK2lFWHF6zm4pZYMDMjK0s74j0MRcmXcewpCtofqeVbRf72vPuj8kZdTiO9QbdJ+tFTUZcn411iJktl+qOOW2/RLq+ckScL4JR2+D8J2HK2n53NWV68LabSU2dzqTJ4al4Eeb06kKw9RFsObISY8cYlDf2Ep8ZGfvT0fFl+MbCasjyVXlUwFtz4ZXTIo4NjTZfv+BjutY0MeWBo9l6/9fYKtsxEswMOW4sRedMp9Z2DzWrXyQ9fQ4Fw85n4xt/gbdOhG/2jThvNCZuasRqytPZGx4TvHmSzkSIxXU3adeH3wUWxRUW+H4+8Z16znVghtX/vDlyv7RO6Orbylhyyf3YWutIyRselgGQYIxkWtKa3epuFJN4LMGeXR4sK1rpK/9ZVBWee53cAzNW6NH1vIVw83Xh50npDppbDvlEj/Ze6b8ARdqxLvKvsLF18zUkphQxbtYtrP78F9qn9sWBwR3nvQmVxfr1uI06ute3qEjpxv6XBlVKUX6QfmhH3zCenGPy8HhsLFvVy1//ySE6gG7+y5BiY/rkd0lIiB35qDxeyn/ydvjG8/6hR6WhJNl0acv/Hq9dDjctCE+L+P39OjjvwM/ht3+BzgzSflFJ1+ELIi/qN5c/eBnkNsPPfKk+BbVwww1w0WP6/QGfM+2XC1j1qw/1++fPYmzCS2w+Ndi5lbw2N8xn17OtnbW/+zjscmlTcuha00LK+Cwm3zPw9LKypTouYnjRZVTf3Rj84Kzn4fMD4LODtHUG4Ip79N/T5IVj39Em3gdDqnxtHwENQwNmXgCe/SkkOikefSvbfh0sBRoq1LGYvWEkpoTwzsXd7qFziZ3sE3YuhQmiCGgfZJ+YwuiH8sAAN41Y+4mUjoZSip5lTtadErQMTNsMieZRuDxNrOjUg9JE03gc3o3BA2cFB6CZa/5Au1OnuZl/tBxP227o9x68DIb7MgJqC+CbfWBecLGUiZOeJDV1emBGPGbsnTQ1vsHYcfdgMiVECvbOLPs7rAbSuqCuIGZVujBRqh2qrQMeM1z0N+2uuPwB6NWG3Hn5qG4LLf+LjHsIcM0dWizbMqE5Vw8ub7ku9v5A0v6dpJ9RT+O7m+C+KyLEttC6gJq3voIr7o88+KYF2v0VLW3On9kDATdAf8y+5D5MZgs9jdWsfeHOfveP4JdPMjV5BUmmGBbab4EI9vU3w029bqL9v4Bj3oWnfQJTXahN3iMroXgbrJ4Czb7I6lGV+mY4fBE8djHRMF3yDN70Gn3zrZsAq3yFFLJbdDSi1WeSbM0GZaJ04zjKPgz6KzPzDqC9yWfGvTi4YhJHv687bD9pnYFFS0o3jtMd2GoHqdNip4CFBp/xt+jt5xlf/m2CA858kaLCKxmaf07Ebsqj2HpvGa1f1ur0n1gU1EKdz6weKjaxuPw+uP8KACbdcyg7Cn5Kl+cLX1CRT9xC/NvMXBY+k++D9Bl5jLx0Jqt/HSwykX3ocIadOp7EUVa8qoflp3zWxxnCmfKXw0keGX1E7vHYWFbhE3evEV7x7qTX4P4rw1P5/KR2QXdIYFx1ITQMCX733rx4Gjz7M13e1ifq2Sel0PpmT/T9gbGP55N1zEBS5AZO2bhKcENqSSKJoyy0vB4+Ww7Ncd2ddH5tZ8PpenGQmeVFWHJ01LzLW4/JSMVspAVF0JakzeegA5NCsz48JigNX2wnlIJL06jL/D/dB/gDmuqH6LSgXpMA85QaPBmV4cGrz59J6QHB588/mAugoKT0awyTwdbui8iznMuGlSHWpLRObTWqCq8RHyDBAeM2R5yTDRP0vaOAD45i6E/GU3/skdHOAKe9BGe8pF9/enBwUaSdYWgd1BfAymkRlsqhV5nIOMrMxp9X6XRBkyL3qFE0f1ip8/l9vmUUjHL8m/rqlxg54s9s+Ndj4DYHBrCz142g4u+/733lnWbiGb/D1l5N/vjwQfi2/z1H85ovGXPceWSPm43X5WTty/dib+5jwALMvvheTJbdFykugh1NsP0M36GjNhvytbCO2wST10LZHN0RpnbrB7UpN7xD7c1RH+qqZhmdepGRT303g8UFCS6MZC/KpkWr6PJi0o5pZ903MQIuto+A2/+oX09bAeaQv0vNsMAKYbmnpNP8enCGNat8NOb0yNShMMF++FL46Eew31eQ1k1W5hG01X8WmLUDcK4OxMvKPIqxxeGLUKy56kNsG2OLQoDJayIrufVBYmEqjhr94Ja+OY9292I2OU4MmryA1IaT6P79mbFP8m246w/aKhI6GBggs146FsNsxmQxo5QHj6eb9et+hd3uC+z5z/HaJNeSDesnBQ/Mb4jMKQYdzJLSA7XDtBDvAqkliXSXa5OuOdvErIrwohFKuenpWU9KypQwQbXbq0hKGnh1POVVOHe4A6Z0r91LxSSdDz/un0PI/NHOldbdGbZc2kjrf/S9OHN5EZbM8Hvf5trEmkcehgd0oJLp5jvxzn0+4jwAY22LSXJMIXGkFU+bl23XNDPq9lxWqIKghSsa6yfAn27rs53Tlgxn1cHVFC3IZsh5qZSX7Q/PnwnvHBecKcayyoXEyIxO+Qc5CafQ2VnGhvUX6Y0T15Fq3Yd8y4XkmE+nynU1jW7fgN9rwJX3Djwq/8YFOu7gv8fDyl6V23Kbgmmv8xZCa1awjwPdP27r5ZKYM4D+2/DC7x5k/MwH2Lju4uiZOo4ERux/NlUVT4VtHn/SpWx885E+Tz/t3AUo5WXDaw+hvIqig08md9I+fR4TilKKVU/fQFLOMJydrdhbtHinF02gc4cuUzv9vJtJSNt9xalEsBfcAjfHWBlo5Dadh1g5UpslR+yAiet0B1s5Sgvu8JqgyTwWR34Ik9eSd2wRqVlTqLw0JHr18EU6/9QXPDX6NTtbV/X9kIfNsmcuD77ePiIYlNGLtP2Smfhv3dHXd/0ds5FKXupPaWv7gs2/9M14D/wsIBazb71Cm+OuvC/8ROc8EzBTTZ34BhZrDmZTGtubb6Tp/F4m18P/p0f/m4L+cZJsMGarHrhsj/G7WZzgjjRZ5Z8wmpEXTmeT4wzaPX7fcysKB2YjPeBn/tZktUaY/lhwI9x0ffi2WFkAbZna1JbXqF0hI3ZQevu1VO94hLq6f+p9PCZMm/bBWz5Gi/CKKIuATFobDG4B2DA+/H0Ukk/aiu3N/pflLN0W+171el20tS1m65Zguk3+kNNpbHgp8H7kyGvIHzKAuuIxaHy+k4Z/djL1vcL+d94FvA5FxcSgD73wikzyf56BOd3Ats7F2uPDZ0bFn2xjW4ZekW1c6kts6j5dF3HxzV4Tk0YxbZoOVHK4q1hVdWh4bQYfs0s+p8Z2G/X2hyjJacSx2cPqo2oi9otF6n4Wur/qNWD7zV/gR0GXTEJCAdOmv87azsOxeYOR7dMzVpBgGoHX68TAhGGyoNyK9kU2Nl/YyOy1I6iufYSG63J0sOyjkRa13DNScda5MZ/+Nm2XRmYlcPm9UFeo7/XGIXqVQa9J9z0HfA45Ph94VZGuDmlLgtUh5VuTbDBt9YB/D0DHE/mtDyF9VFSG74ARVZTM+TJQ0dDt6KHum/cZftA8UKA8bjCZAvne3xav1x4I+hw9+hZycn8MwPJlR+PuslFQfA7Di369S9fojQj2dbfALTEEO6NdVz3zm5xGVcL4DbBxghZpwwsjq/oXbNAm9luvY1LxS6w7KiTg5t4rILOD8byHfbOX1ry/0aU+6ftcb52ok/pBC3ZhNayYoUe2PdFn+rk/Saf4zqG4ve0srwuZ3dYWwG8fDr4/7GNQMP2aS7Ckp1JxzYPhJwpJi8o+KpfW7re0afrxi8L3K6rSFgWArcXBIJnJa/TxHlNwZml4tf/dv/CKf+bcqy71uHumk5iXwupEHdQ3LWkliaZgZKnyKspP0b7BERdNp+rJcj2TUAYYBmP/b382J/wY0503MuWBI1jVvC9ce1fwAjf9GW6+Xpvaepvp/W0EqPWJTW5j0DWS1xgohENyT9CUd/AnurN1JGh/4NvzfAEvGbBsNlHZ/wsSx5hxNLXq1JVFUcyVC67X5zIpMBmUPH8ybd9UseWX3dF9eMCYR/L69EVHmGRj4A9q+76zbn4d3UsHEBwGzN5SiN27lmTzdAzDwOVqZcXyXpH5Yzfpe7NX0Fde3imMHHk1Ci8mU+RAU7kVFdOqmPDvIaTN0Sbh9sU2Np3XMPAv8+Lp8MHReiCY1c7ss5/AZLbqOJT24CC9JLOF6upHaP/1iQy9o5XKudEH8KEUXGEl65BcUmeHR6y7bXaWT45cd5x9v4KxISlgoe6dE96GuQthaCOc8nrksWc+j1Fch9pUpK1JVSO1SzDBqe/l/T6HLw+E6uGxA+vO/Sd4zVhHO3F9EuLPH7VVlwfN7GDIkDMZMfLK6MfvBnp6NrB2zdlh2yZNfgazOZnVq4KBejNnfTDgWhMDQQS7rxl2b0ZVwohKfZPtKNJ+oPSO6MEcU1eFjyxR8NGPyP7yIVqvnwgT12sBuPDvMGcp4xPeZuO5vmCZe67qux1dKfCHe/Xrmcth9Jbggg1WV+zjgKTJYH/0sECTePk0+OTQoE/54E+j+0ZNHvD6zIq9c5mbc7SPys/EddoiEbLPxIvOYf2j/9JvznoWWnIDfmkMb/SCERAUz6G1kOtLcblOR3POTm7yVY7SOFtsWDMSaS+vZfNdX0Y7G3lHFjPqYm0JKJv/qi4768fiCrbZZSHsC/g/60iPGjVqWAyUO+QZyQ8JKCusgsYC7VMcUaWvGWreM7thSENwIADa9NiaBbf9ET7oJRw/eVW3JWSgOOy0ydS+HBKNbEvSa7CPqtRtMXkZeuh+FB2vi4o0NS3E1rOBzs5ybLaNTJj4GBvWB2cDJlMyXq8tyi8IM2a+j9UavRDI9wm3vZPlk1pifj7+2SFsdB8LCfqZmTHnbaxWLXAd7V+ycYPPLeW26r/RiCpdInhLMIhozNg7yM6O4f/tB2e1m6aXuii4OAPbBhfr5gWD5UbckE3eGWlUTPaV1D3uv4H8Xv50C8P2PZ7CmacAUGO7ndrGv+ln/4UzwwMT++OXT8Khn+hAzbYsLPkJuO3N8OKZFByxL9ZxPVRd6dSV7EAHsRno+tk9qdCTrH323+yrhdtt8ZW29er+pXaYPvfZz/Y9MwYd22JS+plvGKrjAfqwLE198GjavAupfu1r3a6f+VwaJ78GV9zP1JkvkJRcDEDn1io2/PWFYD/zySEUnjWdZvvz5MycTOHRAw8cVcqjXRd+/CsuHr5IB9Gmd2mLQ3onMw9/DYtl99SyABHsvmfYoaR2QV5zMEiqr1m12Q0/+gj+F5IbOLROF2b40LctyaaD2/b9Bk57hZHNL7L9Gt+M1CfYBcVnYu+uoq3xM4rGX8jQUXrkVvbbv8C7x+l9S5fCV/uFFAZxwZTVuqRjRwb8321wdbivmbP/Db/6OzTmwYu+tKGPfSKe0q0j33ube/0rMXWmQVuWHiR4LPohrC4MriTmF7bMNhiiRav09mt1u1dP1cdO2ACfHwj/OF8f05dgK/QM2aR00F+iE/58M6MTnyLHogcpXpeHirPeiH782E1QNSIs37XkpZ9gmIy+qz/1nuFbXOGC2h95jeG/oX8gNWK77tTKfM9cRruejZs8DD2mhPp/+IT+sI+DKV1+HrkE3j8mYIVIThqPbX2MIiLjQ6KgQ3PSTR44/r/QlAejt8Vsfumcb2hv/5xNG3WQk9mcgcfToTtTICNnXzpavyIz7Uiyhu5Pbu5cuiurSR05vN80N6Xc2Ho2kZw4gfLjFlF89RRaR92PvWc7U6c/j2Huv3JYb7xeB7W1/yAr81BS06bicXexbJkenORmn0rPpTpw0rZO/x0mvVFA6qxEln1zDB63L9DM4mLY8Iupq/knStn036n3gxA6qKN/a4O7x8bymx9kxv/9BmtG36u4rTqiGscWNyVbRgZ+w9qndlBzY5RnY8GNlP5Sp381fFlO1Zm5kfuEEhrcOe9NWHgSXHGvtiCu89VgeOxCPRg9/UUo2hH8nvdGman6AyELanUmR6iwWlzRfzuAwz6KKJIz+bLzWLv1ZCgLsfC4zVA/VPvyJ63VbX/jFG25K6kI7ucx9b0Q0wlvMewPGdT+ewM88avIz3/xFOS2UHLL1VHvu+6uVaxbdx4AhmFB2U1w5zXa/5/oYMjihTRc32vw+vJ8OE27T2ZUWrAOk7Su716wM9qDSfQQW7DzGmHkdpj7Fiw6HD71CWFRlZ6ZbvWNztM6tVkpt0nnay+bAy7fDPaeqyiecjXZQw/BZE5CKU/YClNl81+F5SG+z9BZYlEVFISYsUZVwsLIvGJemQ//OyIQpBYQbNCLKYSavKw+UehKC87EQ6+Z1gFdPiuDX5gsLhi9jaITjmDowfvS7nmXTQ++Dx8fCtaQDsir118OPNsPXsaI9R9QterR4JrJoRRVwbSVzD73cdzedioX/4uOJ/soUHDRo/BouLk+7+jRDD1xHKt/F2OVqpGVuv3rJwe/S11B9Gj2nGZtLeiN2a1ntqHWCrNb/5ZVvnvH8MIw36xqnE9gPzha+0ZPeAv+Mzd47Okv6kAdX5AUJWWQ6CRr2P60fRnujx19/VS2PvOWtnIoI3Y0+ZEf6kFVT7LuYP0dn8kDFg+lt1+Lw7GDhIThGIZB28ZVbP7H25HnOep9+FBbAYYcvA9Fxx8REf298amXsDe1MP0PF1F29IfR2+Oj5N0j2bTpCjraPyMn/zjyOn5H9ZObGXKJlaSRKdCTxNr/XUPOPhPJyNyXbVvDYwwyMw+mvX1J2DaTKZXZJR+hXApXowd76lKam/9LS33fbQnDbdYDS6sLXtW5yNOvvYSEzAyUR1uUDFP4PVK+4B6UyzezVFBy6zU7VeZzx6L3qf/lxMgPTn0FZq5gyrzbWHNMdXi2COjZ3uIj9Osr79X9V3eqNj2P2QIpPaS0H0HPVxZtenZZIsuAXvB3nUL20eEDbu9OMbscc2IK4++fSmqpic7qjWx47S/6swQ7/DZG0Njx/wm6BHcHV2pr5axbLmNZhe5zxk/4KxkZ+4S7id45NlibY4CUOndvLXER7D/dArfthEncTzTBNrxwxCJtnpm2Sucz+meRw3dAdS9hCQ0YC+WeqxhreYXksUkkjoisXF82/1XYNFaPcD2moKkatChMWaNnov42xxLsF3x+J4UuwedPhUrpDtTYBfRDDiQ5S7BXdkb38QL0JGl3wZQ1ekb89LmUpLRjGBbKOtNgui/YZOK6YPrMP87Tg4UdRboeb7IdFCRVHYf9hvkDX185GindMHU10371R1Zd2EfHPGqrzhHtSQ2fWWwp1tf/yavwSEjU/oFLtMnPngjVI8JW92FIve48s5sh2REc2DitemYcKu7DavTsxGvSVoe3ovydAApqKfliv0DOfIC8Rh0p7A/ey2zTObcWj25bokPHBcSyXgApBzrp+TxKTmqI22PW9ZfTVVlN+/rNNH7RTwnRtkzYNJ7iq6eQMj6D9q+aqH7CF81culS3J5bv3kfCaC/OrTFm2b+/X/v1QzVv3Eb9t37xTFgzVcdJnPZyRGnSjIwDsHdV4XTW6sFMYCDjq67hNbQFKKMj7DebNP0fbHjkFbxt0Qc+Qw6cQ8Pnwf6o9PZr8bo9eF0ult/0QPASvsDSqTWdJOVp07unU4ECc4b+QpuefhlbXSPjfj6fNQ/6CqiM2UzymzfqkqcKau7xTRwu+pu2VPkDF1N88QvX3cSIk4+i6pXF0JIDHVmwYhp88GP44EhdZdCepK17r86HdRP7nqWCzphYchAsPLnv/WYsjx5I2Q8p56/E9dkoPOZ2vN7OncoiCXDgZ/r+f//HsfeJ5sI8+9/amuU1a0vo+I16Fj33Lf1cnv8k5nWH4Lk3SjlVHyUOfW+UJwbN/rt7dg0i2JT98Wa4ve9k/gB9CfbQOkhyQPFWncI1bbXuyN85Tt/ABbU6dzZUXKetjJ53+/v7AzOp0mX65u+yldFp+5qC7It09aq6oXrWF0vQZiwP+ObIb9C5l1vGaKG1uHQtXK9Jd6BTV+lUjbJSfT7DGzCtm+d/zLDEP1Cffz2uP/oGH64o13RZdGcJehYc8j0nLExlw53vBf3soK0KOa36YZm3UOdn+qsSfe4rDpPfqH2xtQU6qG5lfx2B0rWZ8xv1EqahfnSFPld1r7Sk3Cb9fdZN1q6E/CZGzDsGR0srWZPGkTZmJN0da1h/XEew3UMbdETsjiJYckjQbO+3FPgFfIzPHF85Wt8fvf/Ww2qCpvFYpHfEXhEulKkrtABltWtBaw8JdBlWg5FkYfr9J7FiwWMxfzocPpEHLfgbJ+p7I1pN7ljn6O/79ObM5+GFKHW2++NUnzvDnhhTbMa+bCUr67DgLMmeABWlOk/f6tYC7UtRsuYl4Gpy6gGwofSzkdlGyc/+RU91HeseGXhq37ifn8amp18O22Z65Vy8leGr4s1ocbIiRw+WRjxooup3Xj0I+/kzvb7IJkov0AtSKKWi131P7oH/uwM2jtMDw/8eB/t9HQzoum+AAVhvzNUR2beEzyRn9ygqFp8Aw2q1uN19NWS16NoNm8dpH/Vrvgpoy2foQilHLNbvy2eTu+9URp6/DxVpO7HUJWjLktekK65d9gA8FMU/f9QHeoJRM0xPYuy+SU6SA4q3aDfk8Bo4ZAlDThmJhUJq6u/Vg5YT/7Nz7QFGPWam8tce0g41GPOcGeuQcFFWSoEbDOvurzEggn3lnXDfNf3vmGiDgpCozqSeoMkUgmJeWK39pvsu1TdOS66OBDdURN1gRm0LlgKMxVV3w6T12qTltjDeu5iNNyzRnc2KGX3PQP25jv4avEtD/s6T1mphGxISHNWWCesnBsU2tQteOp1EazGOb7Lgkd/o7S6r7px7fLnBBuEmetBCaHj1uTzmcAHxc8T/tJvh7qv0AGjzOF3LOXQG5l9idPGPwvOVezN208DKwJo84ecZVQlf+ALALC74422UHvsuAJ5uD9v/vpKWtV/pjt3wwv5f6X0v+DtYXRg33YnqQZvRQQv3V/trX3/YSF5BYYjpOr9BD+D68YsPuVzR8GLwuLyTh9L0RpTIXT8JDt867SH4o8ZTuim4OoG6xZ/r9d0V+v/G/OhmfT9JNr1Mpr//OXwRVMwOT4Ebu0nX7u7rbxTK7PLgAMZjgooSCu92UfOHGPezPzsjlJKyvqu35TRT+uIZeD1OKj47ApbPBgz9LHujzJZfPzl8QF26tO+FYkJrW4Ou1xCaqjirAiweCsadQd3FO1FX+vL7wu7lcb84lbRRIzAn6Qjz1ecuw/5JL7/pq6dood8QxXw+UE56g9x/LqHZ9Yy+N859BjoymPXfQ+iwLiTNfAAr1h8R3D+vMTgp+FdkIaUA87W1oySzCcMw0/2Nl57qFrb/vgsufBxuuDH6cd3g0TIAACAASURBVJc9qOOGQlk+A16dz8iFVWQfOgxzsoWannvJtp7I2p5DdEZK78qVaZ16IFq8Tf89z/uHtgQq4KDPB/zzmHNhVu3ALH7uDhfK5cWSkyClSXerYJ/1L3ihj5vNz6hthD29aZ3BKPD0Dj1bhGDVs6lr9ei2chTccW30c47YHjwOiFn49u8X6HPdfJ0WtZxmEuauxvnu+OCgISVKOk/oLHvT2MgcY/CVvLTpADWPOfKBz2jXs0n/7LZ4i7YYhEZKe0zhUeIDJbVTPzCHfaTTQEB3pj2p8PW+ek3Z+qGw79d6cPDpwb7KcO5gIYZhNbr9obPXcRv1LLd4W3DWDzrv2WvS1oCqkXqEndscdFVktOso+f+eyORnp7P27JXh7fXPrvvjtVOiuwzSO/Ta0crQs/91kyP3ueZ2eHMe1BQx9b2JJA1LDCtuU/q5Hly0fdrC5mvW99+WUMxu3XGVlOs29GOajmB2uXb5ZHboCF7/AK4/SpfqKn7+6Opzn9ZFh3rVky657RqqP32b+puTsWRamf7vg6mYu1gHZw6vCfiN++SkN+DtE4Pm7rxGjHG1KLfPReSPRO4VPIYiOEPszahtkNdEUu4wMkuHUb/uDX3vNOVBTosOGuxI0ybnUIbWYYyvQ90aZYnIvtj/C5j7FkaWA7UlfEA3/aZfsHLNj2HjeLjKlyly/+9IXPA8jvX95BX7A8+G1eig2Od/qref9VwgEGzIzMNI3s9Gj6eCRuc/op+nOqRNBtraF5IRM/NXd9Bes4xt5rNIzZ5GtzcoipNSF7PuicciB/Ad6RQc8GPqvvmPtrCVlPfqGyMZ+5Nz2PyazjxJKRhOT1012TMn0LrflbBwrk57jEbxVvjNQ/DC2dod8JwvPevGBTp4bsV0nZmR3KNrXmwYryc3OdoVMfTIfUgfP5y0kUVs6f4lHe4PKEi8guHJ2lKrPF7Kj10EwIwXD8GaE2tB7p1HBHv+C/DqACpkFW8BFTL6zmgPVvxJ6Q4sawjAya/rMnuVo/Qs+8le0YmhtWz9fuzsFh3UFa3G7cmv64fs1VOhwSeM+34J74dUKSpdGt0c6Z9lL+3jbzxllb5R85oig1cgaM5V6I6qd3GWiNlkDFK6dRW1xSGj9CSbDoKZvE6/P/YdXW3N3qsK1nHv6KpgK6cHrQptmdr8l9qtzdMjqnQH8vFhegZ7+ktapC0ueGI3FDDIbdRBYv2ZqAciLLHoHddw0wK9utbdVzPpiemkTtGRxsqrKD96kTZje83hZVr7wvBCio0h5w6h4Zk+Bh+pXb4yvNPCNqfd/yqZ1hOp/k0fnVCvKlYJwxJx7vNy5H4N+WHpbaN+chx5+4Rbasp8xT1mnH8btoZ6Nv77KQgp2xvg+P9ov7PX0PECoc9GaLuSe4LBoxbfansVJdCSBUsGkNozYjvs8412dfgHHNFm/6CtbX5RBLjnSnjuHCjvVTb34r/q1cKmrQq6B+6+Slvleltgcpq1qdeRoP3Tqd06fe/h34QP2E98i4T1x+PcqPus9CMMJrxroez/7gg/nz9NK4TS3z4EQJPjX1TaLgv/0Gvosrd+DvwMPj8IgHFzLySzOPx+Wbv2F/Ss6tbWhtRueOYXkb8TMOFXZ5OeOw1HWyut61fSU/g2zkXjcX88FX71OI5MHY2f9MWvsDf2YWEKpSc5fMDem1jV1uyJwRKqNSGVBf2uFIXu24dX6/eHLYbZy8hdfxfNN4dXISx5/0iZYe9WwT71BXjNJ9i9azaHMmqrr6CHb+aU3QzLSvRrv//az7w3g8K7fGbQ5OrHH4BmeLUpsSNT3wwG0Weq9kQtYGZ3UCzaQkaoyd1w3LvRZwi9TczRiNbZ+2cifobVaPNpaHUnhZ6x+tuc2qX9ZTGqrXHAEkh0aZEJXcQkv1HngvaF1Rm0Fvg75YF0sLuCv+hKIKdUd57DXl1L7X3NMLQ+2NnNqmDInB/RcJcBi315uf4Al8y26C4BoPiRDBwNXdTe6NWxD9H8xUd+CId9wqxpn2E26045NNJ64v1zSJ2cgdehWH7CNyhH+LOavl8qnV+F1PE2u/X9GlLaNfQeSJ67A1tlSP5yT3J4tbq+uONq7df3ZxOM3xAcjIWQlj6Trs7l+jfuyAhkBPhTACEo1gClF/0NW08Va5afoY958nxtRclv1JaYrDZI7wwKnDtKcNvscm3ZcFt0OlOyTd/PnWlBU36eL/7BkRh98NqQrwe2sdwvp7ymBfTd47TlaYlv2c5LH4aJG4LfZb2HNdO92s972CIdGJbaFayqd+nD8NxP9QD3iwPC759zn9aWIX8baoYFBwa3X4OpZxiTL/oliXk5lCe6yTjOYPyb+m/rcTrZ+sJCbHWNTLvywv9n772j46rO7uF9p2rUe7Vs2XKVu2VcMNjGmBJM770khBYghE4goQRCDzWQ0EJvodp0bFNsXHDvRXKRZctqVi8jTbnfH/senXPv3BnJvLzvL18Wz1pe1vRbznnqfvaDjvp9qFmzEAOPuRCrn5b14QlXPQY4HKjuegRV/r/C6xiIrooAvE1T0LU2CqXskQtQXPgUUpNmoa1jHbbtPE/2b9tJQhsweyEyUk5BUf69qGt8F3t238+pfNZBSzc/yCxL0BmJEN+fS8N82CIGPfWZBI45dBQfcSN2/IHXPf0cHxq+2Wm6d85kJ+LufRsOtw+toc/Y+hXWWINfMZlvim+X+zx/H9ePWBsTV0bHbhw5HxNuuf8Xg/2zGuxT/g18ZDDTDN0KbLepwQ3cyY0eVhDZGXVEMnbGs36p3pNDFwFdPnrDm0abDXZeFQ1PxQCm2iqK+Pzs+bIlyu+l4RNKTzXOqU0Gqlt5bvZXQFGFNJRVeWaDqErePvm9sYZujF4nWbzsJL6dx64ixkXvcadXtnnFGcovu8ZcNxQ0ngAjHV8na+N+HzB+FcFBgAQXAfTQhdRmAuv7NuCjNxn4dBZ2/XNBJEdyVZT6slq7HLYVuORFOiLVucCDNDgFt6Qi98qUnrnNeljH6kEWsFBmnZzi1Jvc82cMKX4OZfVnArc82FNzLrhmANKn5cGTQUdz1dvnkHDlq6PpSI1dC8z4HmhOBl65WH6fcS2TTmtC62ceuX6ve4xp8/cN+tHp3xHnoE5RMyT1qio0LVYyS4PLgEOX0pmKga0oHv4wUtOmIRzqQn3tPFTu/ltPJ4PnjJVITZ8BZ5wL+z9aDwSdyD/kZLhcmdjzHrEFqVNz0bRUmdVdXkwH+ISPgXknyeePnwvcZRz32LVmvEh2DVkK2xLMpYnSldyHhy9Cv4kXY++LaxjJrjzE3PooZIakDEVeFZ2G5y8zvyevChhaRnClI2Q4DVGuT0X/yPaqg5BYbUShziD2v7YLCcOSkTYj0hnpbm3Ahpfvsv+wtf3SKtMWy6Cl281ruGE0S1fCsRdlq4krWEpQgxwh68bIzho7eew66sc146lXJy8H3jsz8n1hDePmzcDa2TZ98jMXUs/roHNlVyq0iqp7epPDFtHR93Vi9FV/hCfp/55L/H9GuvqfLN1KClqL4pTkV1H5OcJGvdSgzxxSZqRPLB7n6ok0PCL9llUr+51VaVAi0W43kNJIT1/1nu0Oqd1Sq571DetoQqGo4CarpDYD9caxhHQzyEaVDWPZvrTLoP5UN2rIIR0N1ehroELyddJgF+wlYCypLRLkk9pMsBNgELIoimaNAiRqTGHUlNbI1Lm4LrGGrUQTr98AzGk87vtvATxB7OoC4mYfA78w2FOXsk4XzWCrGYRtw4FbHwbuuKfHWANA7pXcpMK79nfvAN49F9hdRAPz1rlcV1ZJbDV6fbuAOkWpLp6GMs9FwLUvyOfc3dj3/lLsex8ofeVC1JZ9xefTmtgFsLcfMMBwEhLagaueBp4x6s7tCUBCO1rT3wE0BcPx7BXAv41hL8fPI35i9XgMmetF2UwPcQ7lg4HmVDTNB3C9wjVfPgSI60Rm0Rw0HPgC4QHrpWHydMGhpaCk5HV443hdHU4vsvNOR13Nh/AbPO7djY2o7XqLjmD9DKA9EVX7zM65MNYDzz4Ru65UjLAw1n4vsHG0uQwkWhYL95DLvjYnMoIuXcnodW8h4A5gb/V9wEV1nD3fGAWUN2UJKWlDTiCzFnjEBsAqSGyaUrjuo+25xFaWdX6iFK1dB8Bel++4Zz2aFskSyOiRqdhw/mLEFTuQUJyDA59zLfZ//BzsWWgZgqJDRsoTVgL1WRh87TGo+O4NBOaVAoMqMPjis1G+9C6CAEMOYNNIW53nO7wNXXEbMbzk39i806Dp/XQOR5w+fHPkgf/6BeClS+XjPzwu//Z7ga3R279sjTUAfDuLJxXnjyy9RZPcOqA6RgADEMib0M6MTWIb0OVFd6gaHvx8Bruv8t8bYc/5GPjM2OjDN9svgCHbqeBFDdcVlEY1rkMSYdhJfhWpRAVoK9+oe1jbwmZ8A+yWvNgo2UwCfWtt2DrLddJyOfsZoFJYN86+jip4vINOaYjtWrSEDNohgUKZtUCz4olamcAyjDShI0SQWPlg1ua+OoaoaVXEUur29DrUAgCQ0sDjTuhgjdcZit0+FNfJjej1870dCTINLOTst4DhW6lo3UHEO6eg47kSYPwannPARTaonyLTv8P4l8+Bw+FGqCuAtZe9JYfGHD+P0VaXJxLNmtBmpm+89a8EsP1oZGiO+hL4+BT5ulJ/HPPcKVj/oRHZNaYyclw8nYC+zHpZ39w8Qg5S8PrZZ1qdx+Pp6+QmVc55k99/IMNM2CPk2E8ZAT13OWkwf/d3jCqZB2+crPXtOh/oaKiEf+wb9gNY7EQHtBXToHe4CGhLa+Ta31rCF2PRYM74jgQ+AQ8zSRkNvE4nzqUzN9XoBFgxkXiKmx6J/l2xymhCznpbZrUmL+N+OGxRJKjqyAXAgiOBr2czpX7OG0i+fzH6tTyL7UcBJatccPiAtRmR51b8oROpc+wzZuHuMNbMWRj7GBVJu6gbjY1f0PAeyGAU2sdxtZi1wJ77XpXc/dSfFnyEKsV3j8WO7jOoU76ZKUsLYY171tpxE0vi26lrDpbTwetnEGdn1OPbmDVw6AYQthtot1CQpjSh5JWp8GX/wiX+8xnsk98DPjbSf8Jgq5swq5aoWIB9vGKhOIMEHaQ0sf4UcNK4WmvBon7ZkMbX+1UyNWQ12CM3yDSyFibXuB2K2CoXvsr2FpEpEEapJgu4T+kvH73efGxNyYzgwjGYsExiUYJWwpaUJqb6j5gPhCzAucoCyfAW18FpP9G+J5q4AoAWAjIbWDvuqSGtAMatZg0r7DSntQeXRdZez34XeNtIoV3wmnw+fy9rnukNBFv9+l/yteRmtq8JpQsANzxCD91qdAEahD/8DckJ09Fyr83eGrAbOPYLGtaMA8D9xnSsmQsJrhOPAXP5w90lnabsGjMhylFfycdWStOkFuAwY6b3sM3A7RbgUUqTpLr9KaLMdMbIjXLoCwAsn2SeofzU1YArhLxJx6Cj6gCaT4iR/rzpIe6Vx64DPN1wLjgL+oBKpPmOQvOFpyNY4yCPvV0rk8soL41dS+dX1Hg1AJf/HVDqtXCEOKjio5OVfnqb9O9ZbwNHzeee6YgHrrMMxhHywC106ptTZBrejrxo2mKuZYD3+ZgvgWVTgGWTgbPfAYaWm9+vewE/gHWT4Hj+dwjfegcwuByJnmlI956ILN8lET/Rtb8Tux/ehLYNBNqNnjcWG06IQtikys0PAg/1od21j5JzxgDU/Lsi8oWgMvDHkJQbtqI5XgEp3vpA5OeiSOrMdLStb0EwdRsdby3MaYjHzwPgAOrTgL/daNY5R3/JjEzQSb0fNFpRvV1IPTYRTTEYjHuTQf9KQ9qwPrY69kF+MdjHfwR8arD3DN0MiPsohrwrM2dN6EGAXtWwrUBrCiPMfQXR0dI6uAiya1l/tGNKE8Y8oY1p7bJegD4jNwKlq/n33BPpRNxp1OzeP81ccyvZbP6sI8RapQbWjcIO/tMdNFB2ka9pOIbirTqD9DQLdwPXPRVZ68vdB7x7jvyOektqKazJ3xac5XZtakLSGmgsNTBtn9jGdresGmCDEQmUbDIMmM5e63knMmKN98t67Mkf8rMBN8GBgmnsoZsIfAHIJlWkKJrlk5hlmWGA5D49zjz7V61pHvJjROuSVRxJIYSbDYdpzmf8/3OL8WxKAaDRuemK4/UeuYn1/UWH01nxdZDUIlpf8tFfyhpip1emvcX3C2YpVwAYuIs1yLZEXufeentz95t5yesygHIDNW29j9MW0xldcmjfHFKxHgDJaV1QAdz8KI1dL9fX9vti0bWqog7SEYjiS16SLIKXvhD5mb/exnVV1Q/YMYjtj4d/C2wZGbs2aycvXmxw9fcj3fF5b8rXBu1g+j6ui7V4AF5tKLrKwkjPPBpFxXeiZcUBlN+xVn7m1QtkTbktke1NLUls09xd1EMv22u9dthWRpWtSbz3fl/kGrnub3TcXCGMKZ2H9ctO5fPz5kiwbtAp9Wmcwd0+fjXJTLzdbB0UA4KiyV9vo+7p8rBk6Q5i4PA7kZ49C9s3/QGtoflAk1HCCrhkpqAug5kOO+IqcTziPgv9FHTF5isA6PyGnD1tr+MWTILT14eApI/yi8GevhBYZLQZDdgFJBgTioIOkK5QudhBR2TaQxCm5FQDuwb2nh4bvoWKKhoX+aAdhqNgEx2aRKf3fsiPbDUSHvyf76aheuYKAjN8XUB2NbME+wpYI1MX6XmvASsOMfNWW9PdQuwMtsdvbnd79Ab2S6vX7fDv2Yuu6VQUfakbJTdxgzSnwhbpklUHFJUDTZkSlJdbBfjjmRURHN1aGDjrHW4iR5iZiIdulqP7xFzfaPLWORyS0p5gDDQAo6f2eMkTH3IQWHfk18DGMfZO25HzSZRiBbap8qvP+X9nnJm/WQdTkyK7E9dJJXXWWwapzCwqI+vaG7+aLUvq9zelEJAYckjlo4IiZ3xrTjfqYHkj6AKKd0ikPgDsLZCjZ0tXytesXREA8Oe7gHvusj/vOZ8AC2dFH6co5LfPsR4snClVHCEZGf9P6GxVcQWAq56xdQrGLhqPOv+zqHpvDbDwWODG+43jCFvmZOvce34v1+CWEewTt5n4ZiuHf292CK1y95+JkncFzdTHNiBBPHU18RcBl9wLS6fy/yVTzbrNFZAGC2BG54pn0c/9KPZeb+iP0esx8IojkDAqETVNL6HuxTZy4ffbA0z90fzbOphxSGrlGmxMBZYc3rdrANAxqM5D1mMVKJx0FlYvmtm3z/m91A+pTYA/AShXyo5BR2TvPABM/wZYORk9zImq+rmWLW++4CR0+hYDD95MHZXBrgrfRWuQkDUY2SNnwevtB4fn4AfZxJJfDPYhS4GVhoIp3AUkGQZbTJBSAV7NNlGnMNi5+wnyidbSBBA1nlPDaKY10d5bE9/n6zArMGtrUEoTF5JmAOFEFHP1E6zpibTnxBWs/S5RUONqFAgYStniHMSqbd9yP/Dgbfw7yxgeIZT8TQ/RuIgoevhmGo3GFKBikASaef3mbIXdOYtji6qAddZP1Q2V2gRMWgr4E+A7pAud/efRkIjvqcoDPj5Jtv+UFzOyb49nak6tc+fvYzR43RPA2jESNR90mutvCW3MxLiDvMdWLuOz3iaCvD2RaG27nt1RG4DCvfJxwEXOZ29XZE3Q12E+Zzt+5AG7gZItVFhG33vcmBD86xVHKuAi8FFgDKYsld8r7kXIQYUejZ5UNc4jN7K7QXUShDx8Y/Ra8IuXsJtiTz+2JmbXAsd8AbwSmeK1FZHhAegYrhkHvG4A6YZu47WPljEKuvl/2KAkLdgLQJOMZcaQlT7JZf+gI36EZX+5u5mpCDnRv/BO7Kn+E9CcSLrNLZY+4YQ29oYvs3F6osldf6aT4O2iQVwznpOthNx5l9lJFxmw1kRg6/Dog23c3cwulWxiFkfsFTs5/1XWmQWhUUY9ULqK+uHNc2N3pPQio+dNQFvlLtQv34jW7XuQUjIIgy6aA2hh+Dv3wuFwoWzD7ej2V8r1G3RSX+8aFPmFxWXMDogskw46pEEXr6G1ZS+jjqBed9Dc2TNpLdClU6c/fzm7hZR2y7iUQgyb+Ahcnl/Ga/58BnvyUgnqUQ02wI3c0YvBTm2kB51fRVRxXQwkYVYdW3niOpm6FEpBzJp2BoF++6hIm1JZTxUbLamFRi6/ikpofhSC+/05BIn44+U5WAPUURt6PMIeOZBudiBUQ6n2aYc1Kvm0Rh5bVl1km9nt98pI8illaEbpj0C9UXsu2s3PtSewHpjUSsPQ5bVPhac0SnS7nWQaTGmpTaypHvU1fHkF6Pzt5VQiL10E7B1ARqpVE4AdQ5jy3DGYCH1hwNUWPUF3+tVRzBx0xNOR2VdgTqmKYSaCSSqsydT04DKmmFVHriGNnntdFssPw7dJJSGM74JZUvmpkl0TOzrLrgYG75C4iw4f8N1M+/cO3QY8cpN8LGrR8e3ARS+TwepxhYN68Haum+oc3qP4dkbkD9yOCElqYX1+90CgoBI49UNe5854fm7uSSxtzPqGilBdJwBw+T+A3QPYc2vXBqVG1OJ+XfQyOwm8Bid4hw/40igvpDYAnyv9u/f+kdmnsBbJXxB02qfaC/cQt9KXttpHrzdIbYw+fg1IGJmC4Rlzseqst7k/T/wYGFLes0c1HzBqxFx07GrAjmts+MIBOjKtScCmMUCzZR1c9DLbNsX9cITYz511gNd+6aFEorclAd0uOulWR101SEJGr6Ph62tW4GDkgld4b7cPgfv8JeiXeRPqn/ah1TuXunXaD/CsPR3duyNT16NuvxTe9GSsuoGdClnTxqJL342WsjKZ7Vk/mnsvqYU4nk2juGb6AmxUpbhc3ve6TLO+O+w73ke34Tj+eAj1o68TI8+7B3HxebZf+VPkF4M9djWw3ogIrAZbC5lbtgQowSr9K9hPK9oZdEfk2EWvnzWd9AM0cosP5ybSNRqO6lz+fdhi4EejYd/XQc8OYASf1EbwE0AAUrklUtNh5gIHuGkF8YcY7CG83dnKBKvOODNRAcDzAcwKsz5D6buuJcObBjLBidrU7X8hz3lWHXDnXyKvV061JFuZuoRoXV8HvfKuOHt2ovNeAz47TjK9RZPictKd5u8FHvgjnwu4JFuRkEE7jNQgzOUJjx/Iq6FyFtH2lU8Cn5xkDCjRIhHI41exV7k+U14nV4AOSEqTdJ6iSRadjRGn/glbvv89sHo8qRGtktgKHGO0bm0dFhk9iKzL5GUslVTlAR+cQcS4YvC0fgeQfnEIDWfMgV5hKJObHgAWG5HXme+wjvnOWZFTkwbuJNGJSPvOns8uiA9ON79v0vLo9UEhQqVk1gJfHtf7e8U5iDWtygWvWnj5dabwc6tp4DRwNnxVAR3We+8gRiTkpALfMJpDUwIeTmdbNkX2oltl6DZZsy1dwb1vLaukHZCtYNbZ6KocsVDOd3YHeC2fvtboETbWzckfACM3M52ufs+CWbENj8jEiMyJ38ssUvkQe3zM4DKDa/tF4I8xgF6DdtAxPmxR5DCOjHpLScAQZ9Bo9zSM/vjVwOiNpreM/fVjcLo8gK5j9RM3M23u7YqdtbSTsMaMWc1PNJReP7Nd7fG9cv33JsP/fggS+v3fG+z/3j5sU+rXsqvCjtiPhQQNA5nUyqhCfFVeFZV4wENwE0AlLviohRfo9xqTs1wETwjpjGd6rCM+kg4zYNPWUJMdibjWNbOyU1NTLUk8Lk1nyrNgL98vjJtQio9eDzxyI89FNzIIATewvwDYXwBt4H64i3ejW+BbBDp99lf210tlczvxI0Y+Ghjx+LoihzqMXk+U+YitPI9YwI/ibcCBNGCp4fTsKbRPx+0slhkNVbrjmDJzQEa775zHVK9ApgsWOFG+CHh4bfzenmgKQRc/0xkvl1VKkxyxGdb4mew6lguGlCHONQQZ/Y/BgQctLTQDdwDj1plTdcO3MV1voLs92fHo7iYS2FFfjPDTRpq7KYVKL+Bi5uX4T6DPno8DL/4GEMb6ukfZZyqir+waIvntRhxanYTmJCClNfJ9aY29t+xV50aOnJ24QradqTLBUo93d3NIxkO3suQQMURHI16iw7j+z15BIKfgKLjXMqHv7LeY9dk5kA5URVH04SIqwGrVIcC0J7jvKwZwL3UkmPu267J431Oa5PoQ8s0stm9anW9/HA3G+NV0QDWQlGbNGLY07usnuxZ8HZFpXK9BROQJAJtKgJ2Dud7774nUY14/Ha+MBiSVpqF1VQm7T3wdwD+VWfJxnbJs05rMfZtXxYyJI8zpbpOXEdgZdAAfEWiWPDUZQx6lE67rOlZ/cgpQVixHJxjOybqnb5cELY1p3Dtqti2nWo6OtToFrQk8hv0WxzyWDC5noBF2MisTdDJwcegsIwLAiC29t6nFkLi8PlA2/y/If2+EXbIB2DKaD1TQGQAgTAUOcFEJBSQUmxBPF9HahRXGxCtD0YlUckV/GkaRhu5XyUX+gwG6qMviQhGGxVqjPFSZKOM1AEcazJHhwDLg0yh9w7F4pr1+pp5GbQSCHhq7HYOptDQAY9cAl7zMcZ86JIOaXY37+keA98+Qj5tSolJymuTfRiQjznnu8eRfP+/1yEiqKp/RgRamEgxFmc0tJBq4T0jhHgmcEjL1B6B4J787GiBt8jKzklSvcVynROALEfOxu500NuvGAwuOovE/+mskTEhG+9wks4G47a+MJqsKgJYUJExyY9j4x9FRvwdb597LeyA4pfOqmWpXp2V1xplHmgJcd6e/D7x6oXzu2M+5PuM7OTBGA/muBcXqzIW87nYsgADXf2oTI+/2BLbRJLYTvFPZ39zfndjKem5TKrDcUqfNrON1q8uSmIhRRjuiOC71murg3ghrLHEU7TRzGXw/ncdWsM++ltkXaY9nxqE5hWM87fAHTdkkfwAAIABJREFUE1fQETj8e+TlXIX9T9WbW+6srYupDZxFvXG0/W+qgEAAmLYI0JzA4ijshapk1FFPCa4GMe0ulpz+nszcqZK/l8e4+DDgqr8z63IgM3Jue1jr1TnzXr4Qg6Zdiy33fMQnEltZtincQ1xHSyrvpzUTBhigS8NAx7cBQ3bwN9sSyenekB69NTR/H9d1ezwzLWPX0plObAM8SqbMSoUKsKQyfzZfq87jeOJdg6Qj98a5fM5achKdCAX7MOGJK6E5fr5495eU+Og1wEaDc9iaEu92o0dDqC1d/SvMY/QS2oAxG+SiLx9s/hExelIoHYBRTNkQKrimNEYCqqgb6LBFXJBbh3FRpTUwdV6XJdNmaQ3mfle1HaYv4gwS7CPAYuNXAj4L2Mbv5UKNBQRLamF0pYG1zq44KuL6LBqyrFpJNCPAHqoWPucN4K3z5OMLLbOBa7MYfaibK1YveU02UekCWBSLZap/BbB5lPxdHdFTYmrvcSyJ62Rq3WXMJX5RYW0KuGh0u73AiE1ApxJNXPISo//mZBmFDi5j2lTUHe162JdO5fPvnR4J6rMTtZ/7yPkG0U8i8KHRhjNiM1O+TcmsR4v1YQW6CRKXIdtlyaDDxxJRl4cI+dyayPqoEGfQTCQi1I2mPBZrPWc/HQINBp94Lek8gw5GzjEG0YxfNAHNS5qx85YdvV8bIVpYdh34vQQV3nkXsHqCNF6HLubxHcjg+vd085xgZFK6PdIJBmSfeJYlXR7W7FPKsUS0jFr6mXuVzDoaNBGVTl5GXeYNEFvRmBa5hlIagbkny3NIbDdTJ6sS1qRTO24N10xVAY+xPZ5r9YhvopdOdNC52Tk40ilPaGNE3ZwS6SxoYSC5RQJSRXlS4EmM3vdBcW9h11cvQ5/+JaP6ukxmcZJbgXYf8Od7Y1+/gTuBvyr4ja+O4j1QnLWBf5iG9H6TY3/PQcgvKXFV0YdcbFXJNVIvYvXrMC9c66YQ6F87L1WVTh+9PYDpVVM6UOSHDOmIN5i6wgaPuZModIA1nQ2j2Yu7J4GLrUqpk6Q2APnVwGZLSlOtHVsl5KIyFopyzUS26qgIWRH9xXIEWpMjFWZ8Bz3pgJtpx6Y09uPOs8kIqMYaAI5YAMR1s+2kOVXO71YNtkMHNBsHJazRWOfspzPSYiiWkCPSm47vkNkUQEagXj9w+GJel00jmVJMbuW0NN3Rex+w30eDHXBLQGJnXKQi/H46v3fYdiCjHr6B6ejsqAY2jJII7fpMKiqAgKzsaiAQRwWlGYxLH5wJtPXBUAtpT6By0wAsmA3rOhz66KEI1vux89ad5r5kTef5CIa7fQU02rsGEOTk91I5N6dK3viKosjf9xjIZldQOh8CO6EqcrV7oCYPaFX2Wl02nP+4HaGtmXJ9W4fXAMBFLyOsDUPK9HgU3dsPvoHJiB8ajw0nrkf3/m6euq4xA5DcIp0T3QGUDeZ6+t0zwE2PIC6hP+KSj0bTPOO7V02U96klxUjfWlqtWlKY4Uhukb3OJofQ0kaUVSPpacWpBNzMgAGcWVCXTf0T30mHRWBUVOQ8QIfeGZLnJAZaqClk0S1w6A/8QbFG6zLtcSVBt9lYu43e6dWKPSkup+GfP1s+N3q9BKWWDyG6XmCDNJ17UYwv3TSSe1ecy55C7t2JK5juF8ba66dTlNQq3+v1E2MT55dBRHYtCtJuR0bWr7A+WwPwZyD59/J7VCfDTjp86MnjbxrFnvs4P/DMlXQIRDAi2mwv0IGDGIX+c8l/b4Q9YiOwdRQXelIL08JpDUzXCPawgMtcSxlQwdT03kLz80csNJRXHqOlA+lcgCLlqk5jCtrMnrZG2QDT44cu5iZcqCx6TxcRnXsLzVGqI8TapgZGNjuUaF8Fy9iJSOuKljaAKUe/l2CzPUX26HGBchdiXSrTfohMG6kDNHqT815nlmHpNPlcWwIJHwBGCVuHM53q7uZ9c+oyuhYsbSlNsjYV1sypcEGQY82OCDnpQ0kLqoL1AN6jLGOQx4aRzL6UrmLU8/0MRi7DttJ739NfKmlR+thTKNOWqjK77lESzkz/DjhkJZG9yc1sR9k+jEbppI8Z5WwfwglW0frnhaivq0o9qSVyGMPMb1D82+Ow4yYZjZaumIim75qw41hvDPIRHRi7XnKxR+uc8Ph57N0eoN9eHs/+fLMzY11bQqxlo2iig0Zu4gpg1CZknZ2NurIvel4eWvQqys9qQ7hF+bLDFtG5rsmJdOys0qnMElCn6fVVVGImq6Q2MtvRmGbvaAsKXoAOsbX9LKGVGZOUVuqb2mw6JGIQR4ePQDC76zhpuWxxsht6okprIr/r8EWSq/6niFj7cz4h6M/THfseD9/C/zWdHAMagOWHMLAYsYXXo9ttphg+fh65y9sTZRbS0yWnuIn90QPuDaJktRObR2tGRsxm/DHA7xA6U9EzE7YUQ3MdTNojtvzHpMQ1TTsWwBMg19gLuq5HhSn+rAZ75Dpg81jA1S1rGoktNNgiDaPrMjoTbVypjdzUqgGc8S1vWmU+DbaVJOPc11ljDLojjWlCG2uA1sgrrpP81tbpWz3RjiUydwZ7xvhBhxk4JPisrd9vR2Qivt/TpXi/YXNqyh0wG+eg2yZdbjk+W1HRJ1HeO/07Gr9Jy4CLXwaWHUol5AoxKyLIJURtPb2e3n/YZTZM+VU01kGXObpRFWc0oy1kzDoZ6bclyJ7Zb2cAl77Iv+PbeT93D6RhFWh/Fasgzt2ubie+oyNBlhSEWGcYX/8ocNsDkaUB9bzFvRNRpDWK0MJGfdlQ+v0q6Wh8ewQVp64BR32Not8ehsCXE7Dvul7KLQN2M3pvSTbXUL3G8BzdEXkMVp58O+nBCuiMKqOhkoUEFd7pE+byuh39JVtvhpQBf7ov9u/1RdQoM7OOekHtJMiqZerWrpac3CzXkioBV/TygZ0UVMo2tbZEru/0RjrGxTv5HrXEYx1sk1PNWnDAQ93m62SUKxgFhTiDwMxvyOn/txv5nBo9C+lLSe6IBRInEU1yqmX7HkAnWMUHdHl4vc99k4Y4WgkrrMnP97bGhBRWyFkEdqNWrWLNsJ7+Eca/dDoczj7+Xh/kP8Jga5rmBLAdwFEA9gJYAeAcXdc3273/542wNwBbR9OTFxGGK2DeRHoYaDHaJwaVA9DoRSW3miPH6d9xo1YW0MhZye2P+1SmyA6km73mks1m6jxVcqvM/NviGDUgwsi5A3I6EGBOi5dsZqR82vuMyOozAThkjV0VYbCjEajkVbEeJFLCoo6mwx7BHk1+/zipFV0Bsl19NoffkV1DesdocsznrH81pQGP3iiftzteNZWrKpLB20lcMf07GhcBkOv0Avt6iawmLZftd0JEr6YOKmjVyAqHQM2i6OA9j9VfbifubqKSW1JkHdvkKOlUuKrCdHfxOnTEYOITrTfHfsGOgSf+cHDH1RdRZwsfrAzcQSMvHN1Jy4CGTE5WM1LmA55zouIqvyREUWlI0+uBUZs51KM3VjVVolH1Cgk5IstAjhAV+MiNdMb77afzkFEPvHaR+b1jVzNlqzuYInaEI4GQQoZvJqXoF3PsX1dFzG4u2EunvyNROmzRKGyFBJ1ytnR2LTD7axo6UaY46ivggtftPztlKbsadFDP6Q6m6zeXkMY55JSp/2gT8ezE7+VaL9lIJ01QEqvi6aJxdyhofBX/8HNIsbGXxV5Xj8GS+RlTC7gTfr7f/k8x2FMB3KXr+jHG49sAQNf1++3e/7+SElcNNmAZfRiWQxeE4hVGoCpPKvqpS7gZvvhVD5VehIw1iPdVQ9qvUg5MWNnrvaD09KLqkgfc6wemLGPaXURteVVGbRKST3zGt8CqUtZ7RLpyvcVoa2GeSzTtOms+EHKztqciqbs80VOlVz1N9q1P5wCfG323D9ximVClJFZigdtcARrNOD8jbyF271cNtun5buCaJ4nW7nYD+/NYXwRYky3ZxNOPNRlMlfQDjGr83shUamYdkNQM7DI2d0IbFZkw4CrK3JrJsBPhzQdsshqq0gg5ZKrWGWYXgBh16gqwJeoNZbymKwCc/BFZuHqTK56lc5i7n+uvywfcdr99CvyJayJ7e0/6kAo46JLrAWBKOqWZqGzATGZzxltkQBO13eJylj7aogPNepVJyxklbx8G3HUncNfd5tdPnMv/N5fwWicZREl+Hw1O+gEAGp3NaCLu7/mv0enQEYm2jiUpTazHCumMk86/HdlJNDnjXXI1dCRER5AHnfakPQCzE+mNwA+HRhpLRwj41Wd0+OL9XHtPXc3umNqc6OA0IcLp74hnOl7NnAhj/XNJ/910wtIaadzFueRVUT++fa795475guNrAYJq9xZGGm0h7m6M3OZC3MCfj570P8Vgnw7gWF3XLzUeXwBgsq7rtgWR//UIG2AqRjDkJLbJaMlqsPfm02sE6NHuK4jdyvSb54GVk5jGbUlhn+XwrTKy3jyCm8naOibEOlBCjRi9frZotCYzcjv8eyq6P/+FUYK151hITzTtsgeXAGYjkr+PhldEs00pNCArDlE8WUvk/9h1RAnf8gCpUV+7kO0Rlz1nJqNZfgjwoYV5yi5qFkCr3jaxK8D6aPoBOeI0lvg6+L0ZxkhKvw8o2MOIu99e+1Yc1dgW7Yqu7Kyi1mcFP7gQ8WdQqZuNW8OJYuI4AV4b1VhrYTON6GnvSYcNIB5CGMLZ8xkJVecAL1/ShwNW7qkrwEjqYguKf+kU4KVfmx2OM94l65d6HLffSzIQ8Z27B7BXWgOvf+5+Op26Foki7l8Rm1/bKocsB1ZEQerm7meLVXEZkFuDzFPyUH/mTDpulYV0aosq+JtBJx3raENLOnwc3NKXWe0nf2imDxXdBKqMWcdugaevMUeLIrJrSiVuJqmNRnjJNPRJvH4ipbvcLNVUFnKd51Xxmou17AjZI89P/hB4Vxkek7ufrXNi7+vGewS1rNUxEIM+7JzrsWu53nUAG0cRaNtbCru34ELIc78FHv89j1NdU/n7qB/39eO4WQ104FuTJIHRWW/H/vp3zrR1skeUtSN+cJQhRj9B/lNQ4naXwuQhaJp2GYDLAKB//yjpop8itmQoOhUMQOOnxWBs8vmlwVbTqtGkdDVJO3YaSn3URjPl6dDt9DCTWwnmUGvOGXWSmEWIuui74pj6+n4Go1Zd43fcdyvTW1X9zMZ+3VhuthnfsgQQchJQp0Y7OrhxXWEgZx8R9Ilt3HQDdjOFJ0grRq8HfjSQpvGdMnr0dQC3/1V+5/un87lTjf5PoeBCjsioI6GV11TXJFoekPXY3sQV5D819RZLgQul4+mSqf19/WnAdUudXVCSAjIzohrr9HpeozVR9pfqbJz8oWyXgfwJOINco74O9nwKx6nbzQyHKs6gGXjk6TZfz/4VLCHc+Kj5c7k1BPa9cb7lAA3UctBtzy7242TgolflsQadBDyOWU/F/+wVXHdbRgA/GMbktfMt38MPuwPFCDjANbCzmP3O/Sq5vzKMyFJEXEGXnCutisouOGS77Jme8R2BbevGy/ce/QWvlTj2teOB5VNQ/4gxWlfU02tykT47G+lXDUP5m6/DlzgUnVuNz/g6ZHYr4OGaP+0DGu49/QmEDFoAq0JUYw3QYE5ZAqw1UtUnfURj3JGAuJR+8C9Uymc51Yg7YQ+GP1mItt2zUf7CRyTSGb8G4/50ExxuN6BpaP4yiB23buK+2TWQ1zqs2XdyABLhLCTslGtU4yQshBwcQypk2Ba+pyqf11KUD1QeeNVYH/Y9cMgK4F/G5LLOODqdia0kK6rN5m8sUVpUe0RnRk3F3BiObmk7923FbY2of7OFwYeKgD/uExKgjNmIqCKwPwAR6BkNwNlv27/3uE95PfbnAt8cAbxxHjDveKLa18uypsP9Mw2iOUj5702JD9sIbLdJiXssiEt3QDbhi8cAN4BqVO3SPqUrmVYdXEaU4rYREqhx6vtc4NFqOWqK/IQPqaw/iUKQApCbtzmNEVCtgZK+7m+M3l47X9aFq/JkKnvsOgLiPAEagjsU4yqiW18HW7HcIToBa8Yz9VVppH43jTRHFjnVdETs5goLmfMJ8v4Sxv6Vc4EvfgWPpwDdb08x/64deCXWYBLxmbCDRleAqES9eEg5lcrKQ2KDYhwhc6Sa1EIF7+liFmLMOslUpyMybS4iZgE+U5WW9Zw8fuAWYwJVwMX+3h3FBNCoQDJRk7UDCcZ1ck2GHUZUFOO6X/EsU6yHrKQiP5DBe/fAreb3WVuDhKjZFnc3I3U1eh5cRk7rRTPNn9OB3Fs8qH+vEcHMjVTcpSvhSxuEzuuMuq6VMnNwmRxvWtEfPSd15tt0TLcNo0E6501e523D+dgToIOS1iTLB2e+wxY9wDxoxm7ojFUS2oAz3+X1UFP+U5bKeeJiWErYQSyAcGR1kNTG1wn846rYvwMAv3uKzvcLv+39vSLjN3kJ9VeIcwjSEk6GMwnIu0/HhinlzBS0JLPs8z8YxGGS7Go5uhIgwE30RgfddLTUNZhT3UPDGje5Ff7Hbeh39xbYlxLHrUHeC9VIH1qKnSv+is49RpuWO4CeKYBWRrLlk9g+N2pT7PMYtQGjrr4eG6/5VEbz7m4GMIpTXfLQMajd/x7q323mfPU5n8hsVRSZsDcPmvZfhhLXNM0Fgs6OBLAPBJ2dq+u67ZX+X0GJqwbbYW5+B8CFMWiHVGBCmekwp8isBnvKD0BaC4fSJzdzwXbEy8V14lw+rsm2r/2qBvuIBcDi6b0brBM/YuT+lcEwdeHLjJRevNSg9kwzg1pKNpnryKPWczMEnMA7Si3nir8TuPKqBTRjlSFG+9q41cB7Z8V+76M3ADc8Gvm8QHWKa+wMAHBQkbm6zSQjSc18n8huuAO8Pwntkdc0vkMGye3xNIABt9HH6TWn39zd5nGSGfVk9BpcDiyfTMOY1kSK19YkM0JVGAmR9u7yUAEctoievCBQUY3ifbcxGhNp4FcuZKSmpqHDmpnfXojgEQciiX2iyPBlbngG+rH+y4uBBUca7TthYGuJBDXarUkrmtvdLVuFQg7Z6mdNp3ZHSW0e+xmZyir6R9ZUp3/HezBmHe+X0toY949/wF+zlyWmvxlDSmZ8Q4cmqY0MYUUVXPvOIAYcdR4qhhzESEerHDmfAKz2RJ5n/10GpWs7J4TVZcphI5f909wjLPSJaEUSs61veohltDct/AN9lYE7abB2Fkd/j7EWMy92ov5li1578mrg2avoqO8ZwLRxWAPOe4vz1VuSuOfEfRHcENDNe8NGtJv+CX3lYNaJ4zt5nlX5RgYmnyN031KyOnaI/+FbuN+MeeulT16DtrWt2PbbbbI8eMznXD+qtCSxbl60K1KXCwk6mQk6411mmYLOnhR47pxRqP7UEo3rAGYtNGcLY4jnkgUYfe8Fvb/xIOQ/wmAbB3IcgMfBtq6XdF2P2m/xsxrs4RuAbZYatjMYmf5zB8wTW8RzAOvOApVqTYmf+TZT5ismMj02ZQmNjag3zfmEGyKs2XuWASdbs1whgsbWjbVn9iouj+y5TmiPPI+Am2xhqnFxBjnlSNfYP3jIj/y9bhfw0qU4aBm3Gj0zsovLgC+UFPvUJVSkj9zCx9HAebZiWFrhUHV5qKysikMHPX1XKDpwzY6uNeCyB+EIZLO7m+j1XcVM4blCrLltH8r7JCaRRTv0WfOBySu5XuadEPlbt9/LNfLZcUx/x/ntW5Z6HDadiNmT5gLP/o5PPfZ74O/G5Kv6DBqr5BZgdxGnv9XbAMK+OxyYsUg+HlwuW9vu/lPkAJeTP6ThetoyYcvupD0BUp/WZ0RJc9qIFub31+Ryxvi49cg5bBpqrsulwbBSpB7zuTSUQsatAW55SD5uTUTyoBFIyS5F5fQoWIZZC8i+pWYxCirNHQPj1tCQibKRqG1+O93cyTFnHjBoV0Q6vN+5E+BwebHnx5cwcMTd2PX+O9Jh2z2A2A4bSbpxPVo/io8OcIol1uwhALx/Cstc7T7qsZd+I3E0vbU1xndwL8QKHPtAVxpTJqwyZ3dKNrGddtoi4JGbI9+f1sB1XlFktPIZJYqgk46y0tM96IFB8BR4sPX4anNm5ZEbet4z/oxXADiw5pI3+Vx5cVRsSuEjcai80cjGJRgllZnfAK4Qhj00DYk5MZypg5T/GIN9MPLzpsQ3AdtH9p4SdwWYTlVFGOz1Rr91WOMCUMdljl1n9GPrMioZsp033xGSfdfHfs7/Q05Ga4mtVNYiJVOwl6lSYdzGrOOi1DV+JqEjEmHu6yCaNVWJvkIaU3p7lQhbBYWMWUePeMRWps3nxki/W+W4T4HjPwE+OolsVC1JBO6pkdWM7+h0NCf3LTUXrZ/Ten+sBtiKDO8tKyFELHO7uqM4HlVRJbQxO9GaKH/f18Yo2AqIi28HTvmAs5qtQDFxLfoKWovrkJzy6vf87Xqun1cvAq78O/uot5TAkRJGuMlBRyCxzVzDzKqNzpl+3d+Y4ozzsyTgCpCUBgD+8if7z8SS0pWcwrQzhlEYsJv3y+h0yLzWj/onD4K9TRVfB+Ju+QT+lw3sxv23cZ/uGkiAWMlmybd+ygdm3nMhIUd0mldPF52iaOsFAH79IqABmaXjUTDzOKwrqe55yZmiIeWeVUgeMBztc7NQ95ASzaY0EUuj6czkqOj/sBY7qhbMX2JdqT3CKh2t9TyBg+ddH7mBNKCbRrGNLakV+OQgEPCqePzAb15idubI+XKQUP5eXgO1VVag2Z1BMihqiO1s5O0jzigYA8T2iJGp2T6UTnW0vu5BO5glyKmhXQhrvFdqGa24HBP+dPd/X0r8YOVnNdgTlwKrpvZusJ1BTs5SN647QMWyp5BeVYdPbpCSjQQtCFIN1WD42rlo8vcCFYZynrXADBhKauHiEu1BIYcZoSzaw1Q5kG6/2dzdZJ4CzEb9mieBp641vzezTrImrSqlkzFqQyQ6+ox3WC8U7WBnv8meZjFsI6VJZhtyq8iSln6AI/XWjUXEDG1BEuL1c7N2eZnaP+cd4Lw3IpGi7i6+zx8Pkmh0yGushVlrN2TQymrsLM2NEWkLw6psrPZYyE5dKSEYQJhOn/HxsASrqenuhHZG8BYEceHzAVRufDp2z7O1xurpihzxCXCGdGElr0VYM1DYwKCSe5GWPBurxhlrRgsTfdsbscWvPuNsbasIJ6o5CXjhstjfYRWVIwAw16zj2yW3dr89LP8cjERjRetfIe/DH+8DXj8/cg40IB0Xu9RsX9uKLnglss/aGcSorS5s/OEi4OJXIj+jOqU6mGWxu78AcNr7cH59OkLVcVy3nXFIvzSIhn855BhdUZ5IO2DPJ5C7n2tEjWDtDN2IzawNtyaxzU7XYpdarCOFARlxAly3AB0Sn0E/Kmhx1ctREERwn+H8Hvu5gY9JMH/3iR8CcxXgXlYtv783/gRVhBMT18n9C8TOGgh9D2DYUh3bVlzDEb5hjU6t0BkzvmNgNHUZSq9/rO/H0wf5T0GJ/78TRy8ze4XoGtuXdg8yhjAEWUsNuI0anmaOGKv6RZ9V25nAm1+hRFLdHrPBnrCaaXQhqsH0Kd4yICO0jAb7elbAwxpVg5UK1GZ11mdFpk1zqulNqhvGqVP5iq/YMMbMm6wa4+p8YOIyGtGAheULGo20BsmvDNB5+mY2cO3TMh2tGu2AF+gJorXICKcbwA0PA0EXdt44BCgI8xzs2MBcRglEJTVJaKFzZuuNa3Kkqqbzc3a13pALCIGGxO+JnIuthdG2ohPD/3wBtj5h/QkRdev8jYR2Gf2Laz58M+vNPcfcwXsk7tOHpwKVhdgZdGHoqwplpu4gW9wHp5rvqZVrvsWmrbDDB1QVU9EmKWM186roQPn8TBtX50a2XuXIyDJuGODXttAx3VfAvttJPxIZLqLvCSvNvNRW0XTWcHcW01gILoOAy7wWq/KNzgZ/ZI+1KiLLMGILHcYVk1hqqhgAxIH3sCGT61WNpAwpuDsO+x48I3KthlzYePJGYJONsQYs2RZEN9YAPBtOQfceJdXsCaLhVcjSl6b8fdJc9o5/e4T5S0SWTpT4xq2KNNhXPyVxHisnsu4cZzjTYuSmNatlNdaz5tMBc4RlZLxnABDficFL2pEyogB6OAWrR241lcV6jDXQMz42QuZaUPbWDJHXL4OraKDCjnjgn5eS7U68bjcPIs2YshjnR+KgQrQt68K2ExqBhieot62lLZGlmX8MmmfUIqX0IImRfgb5742wJ/0ArJhm3xID0NA5Q3ysLs4RW+Tf1dkEOIgb5whRmalGxJqSdSttQwBbhAbtko8veJXG5eGbAWhmNjJ16peQnGp6ifWZkSQogDniFXLNU8BTvdQhtTABbLomnYYh2yVaHiCyMyqvtEXiOti+IQg/gMhz0YyBJw7dbEQz6sjS9rQlKxBLEltpDOL89PTF74rpRgVVstzx3XRZv/R18HoFDJ72WCNKf4rYzTAWJZVoEbQq6QfYtbBnAKM/3Qlc8jzwLwNZnFNNZetUfkN1iPiD0mksLmeW56tjaah1jTVD6MQ35BjT5exq4OIndI2MWEEPo5b4Dgw6/WzsPDPMqM/IYDlSgfA+Y2+4AhLRfvoHKL37DgDAqnOMdpr1o5gaT24hyrrTZ44OL3+WoKmgy4xl2F1kf90y63jfW5JpxO2u8+z5vN+i7tmWwK4OFWuRW0VDO2InUF5oJqoR10J3EdtgFdErb8fAJUBdOfuZ7o3z89oJR6pXUh0j4/PCbyTtZ2973ColmzgN0B2Q11lgTUIO7s2kFiKkdY2RsjJ21HvKNnR17OQ5ugKckx1FPPlOpJzbjrprYsw4iCV2GBhROgi4uLZcIckD3hfKVDHC2NfJ8uCe/n2nM7XI2L0JcCX8fK1dv6TERUpcNdgqSlykORJbzRtFNdhbjH5L4dG5AlQq6ma0gp9I0rxVAAAgAElEQVTsFs4p7wPQuMhGbCGnb3wn8PffSUKTxFYq0KzaSEpLkVbujOPgAjvlKiSrFjj7nb5t5pLN3LzrxjJ6KFHOPei0TB3rg6j1ZeuYRuvrwmCLNqmincDaCQf3e6lN3LDOkNnoqpzcg8vILy16m4NOSVyjklUABze21CoqYrgvsmo8KVgFl31KU6SRaY4B7klulucY387UpgoGGrWeIKqgq3deZ9UwRxv6EnQRSSuMZ2ILjcynJ/IeOEIGoMvspRXenYXsc3lcuq6joXIRap5rQWd5G9eywuWspXZCb/LJ3zSUqSvTgWCzn86YFuZ9ilaDFFKwl8e7p5CGZfR6WQ8FSOFrbRcCzINk1PO3/N6QBQ6UndbA9eQM0Qg4dGDIdoybNxuta5qx46aNvE91WcDE1QCAcQ9fjqrdL6Kzrgqtx9wW+fsJbcwMjdzElLHF6U29sQxNI+9j98nCI4FNI5jhCTpZurKTjHqpA3tzDIZsN2cQD/uejvGCo9iFou6zZKO9rdPH9WeXdm5OBsIOTNjVH92VYVS/uh/17zZyPTkMB17X+K8ui/c8oQ3INHgpWo0hKVbucyEpTVyTU5dwLkNj6v8MFGeVzDrqqox69rMntAEjtqD066N+vt/ALwYbqwaWAbuH2BtsHTJKthrswWU05t0e1rtCDoksFW1F1ohs8HZjGEeUQsk9d5DcQQfwgcH2dcPDwKM3yfc89Tvgyev4t9cvOXN//QJbEkS7VmoD/x66LXKM5QWvAKkGBecnc1j3PvtNKrhdRcCqQ8zvL9kse4AB/i88fqsj4jFqy90emaWwRhGqQc6rMis5MVkq4KZCEtfUmqoavwpYU2quhac08Z5oenSPuHA3qTl9nVTsIpIHqMwa05kFEIhfq2Ml0LHWGrcWJqlM0Eml0ZTGc/D7zClSEeXaAb0con9apxEVx5VVw9YlgJGXlTAllsF2BuXgEVcAePsM4KI3zO8ZsYVRZGV/Xs/4dukgAMwyuQNRly0A2c6lyrRFNLbVeTyO5iglIkMmbC+GpmnYsvBWdDSWA0snc214unkdgw6mqvMNKtQfDoveKqZKe3xsQqOCvXSCHDrGrxsKTXNh9Y1G7fEfV5jf69KBoHEhxAjP1kQq68S23omT8qu4/3YNIiXq6lJpZNq4dpPqz0Pi0e3Yf7NN+56Qf10M/OFx+Ti+Dbj/NjhufQrhzqifkk590Bk50MJEx9yLZCpzvAOu6OU/q9hNhVMloQ0j3ynFpuO38bFdFk5kyAzHN3VmOpr+rTiO1iBgwC5gzAZg+WHA+B+59xcfxnsmgpr8vbwuvZ1Hdo28bslNPJcYc8hLPu8PX/8+MN/1UX4x2APLgd2DDYPtB9uGjJagzjgZQVjTidZ6X9DJCNuObKK43Kh7dbIuFi21etp7/P2abGCxTb9o4R7bxe4e3o7ACU+ztUXUogRwLOSQKFiAEcTIzQb/Mej17h4A5IhhJyFGsLpGkoW8/Xy6NZl9pzuM1JddtOkKsN7Tbql9qhOTxPs00EBNXkZsgKYZJBiWNLiQWLPGtRCPQ9TudBAoE3Yg6k5KbZSbc0iZ2SipQKhB5Rhw9yAkTfbCmeSA5nRgbb9m+XpKI38juSWSWtTUg2xECq6wfK3LQ1xBaiNTtKohTmhjWUWk+8RX51fxvPxKhGmNFKzI5ZKNEozzq88NHmwP8NGpxrVoMECTNkA70YcL8N6qEbXbcMh+YrrQGsV5frsA3cVfs+2wy0OCIYBr+JtZ5s/Ong98f7h9G55VjljIz6vkRNbsQNFuAIArw4nhbwyEt9ADXdexOlGxfk4dE5risTpJea63wSBWscusJTcDVz4DPGgTSQu5+UEa27vuIXBu0o9mAJswoH+8F/iDFRARRbqN4+iln9r2+MX1mzOPEbzVKXcGGU1b69oAMP17oDbTGBFbHXP9aB1p0NtdvEb+OOphw1CnTE9GwbW5qHuxC3WvUj+4h3Ug0NCO9DlpKLg6F3pQx8aHnyPPgJCJK0icFPFjRn95QwYdQaGn1WyKWhtXL0uWA8G6SDzU2CXD4Er5+TjQfzHYRTuAimIjEmljVCQMthpFRdT/LCKMu9Vg/8ros942nB50Y7rZYJ/5DkE3PxzGOva1TwK/e8b+N7JqJXuSKkd8DxwwPPvKfvy9sWv5uD2RBlmg1QXVnugjBiTZiw62M1gXZFOqnAolxFqTV7mwpy1mZFU+RIK8hFesOyTN5cyFfLxwFg13yMkavLXlx9ch04l94Wl2dwMnfkzwR2/zjK0ypIxZhqBbUmMqMuDuQlRcrGRaCvbK6xhtVGmP6Eic5EXbj91UDg/eAtxsMJxF68PvqwgFmtAms0PCkExcKZ2Qw7+nI+DsBv59Nh0hVxARjk2XoUStxijFZv2p0lsqVaDyZy2Utev6DMmRPms+MQ6qbBwZeW1UJHd2DSOoJVPpdAzfQjKj815nV8LeArZeKnV0LJ3KcxSo5wG7TZeg+O+F2PXrAMI1cUic7sDAFz1wZ2vQXBqavwih/LQYUWLpCjh2j0S4U4/d7tVXsez7oped2H1xyMA8+GSaHeD17fTJSD+tAdA1eNPT0bVT6iXfGAc61ysG5sivJaXmcZ+Qua49Qa4ltUZvZ4RVOfU9Grz6LHYtqAEDEDkPoXAPcPh35KbYbXS5iEyAjaSdGIdQQhXi+iWg9mHFYUtpwoSNI6A55I2sfqEe+x6rjX28vYrOPZJxgIFMvbHuhD5UdX7YaLOFBrgCGLtsKFy+WDrh4OQXg91/F1A5UBrsoGFM3UF7gx1NIXV5JHmKqvsy6qnEtTC/u9Nn9rCnLGXE88FpRLze/DBw5bOR39+/wgwCUSWsseVMtHUkN5vBRtYWKiHCEIpa7Zqx/DuuE/AGjPqg2+hddJu/zxpZCy99wiqZgu12m5HCqtE/6SNe711FklBj5MbIkaS+dior8f1+rz0PMmDUh4PAMV+yn/nHybzmDek0UrVZvQ8AERGEryP6sBQdMM2UVlOJIopLamH61hFm9C3SZgI4JeTGB4nm3jFEfvZgRg4KOeNdXpvvZ5rPRRi1gTtI+BLfzr83KbPaM+vM5+PxR2+PEQ6BnZz9BmuYzanMqqg81MJRc4WMKWuKwYsWQQPApKXAX41e3GiR0b1/JnGJaGkauYlpZlHf1GGmTgWYxvXHkRfbup/V7AuAoleBjNMYQa49fCN8Q+KQfWoRdp5lacNsTeZ+F/zyA3cYJCcGJkUld8mu4X6Ohv8oMgCovYEPhVz3GPD4H+T5dvp4DYx7WrqW614P87Hm0BDqDKHugwPYt/WfvP9Gds41ogXBUA0QBhn9klt57wR4zG4aG4BxO7Kw9pL3AQCOeBdKHjgWCAPenESCCCv7HXyPd59FB1KbkTzTh5bwl8iaMRJ5R07F+pmSH9xT6EZ3ZR+zCQV7ec7WscaWnwQQs1Q05NVsJI/5HzjiFvnFYA/YBexRDLYgI4nrMmpmhnIVBtuuRxNgyjPgtSHWEJG5zu/tSDBHp6lNnOsraETv+hNwl4VZCiC7lNWYCRER8uAyZN0URN2nZdHfY+e5hhz87rpMmZ5yBo3ZslpkNB3S5IhGgMjgxFZGY/nG1B5vF43eqxebPyu+67zXqUy+nRF99i9A52PKMn5OtKvpYH+oOyCN98AdVJRhB0F5FUV83hWAp58X3eFd8r5sKul1ZKa7fwiBo14Gvu+lFzihjWjqP97HaWXvnsnzVwFtQN9Q5mEwemlJNkcxh/7AMoGIQq0S3w6cOI+O2yYDUOTtIjlIo7WVL4bkVcF1yjIEnzk18vvVNTN2jcG+F6RBGbWBTsuM7+g0NiUDXx1NR7UhXZ5LwV7ez7xq3icBJNJ04MtjzIazuJxGa4EE7ZSWDcaBim+xe7Zi5G67D0hppcPstKEUBpA/8hxkDzoJejCEdfMuBDQdyQVj0ZLzMlHoF7wR8ZkecQWAv9yBgcf+GrvOVI4v4CZwSTjCJ86VBEp24gix3W35FJ57Qjsdw7YERqLZNXTmesMK2IjnwmXoLg/BtWsygvtt1lhhBRByI+eMIqQcnobt665GSv4UND/J65gwNAPtHWtMZErxR7ahY4GRzWqPp+Ph6+A9y9/HNZpdx3NuTmVWI7su8rcBTHjjLKw+7x3uW9WBj+aAWWXGN/zd1aX2gYeni9culuF8uQBlT85lma8ui+tVA1Kn5aDfpSOgOTVsOIE851pBA/TEOpld21MYG1g7ZakcsLI/n+2IRoAx6t5z4M38+cBtvxhsNcJOapH1V2utojeD3eVmO4toUxGrx5pK1yFbI8T+z62S/bQJbfzttEYqHzFY5LT3uTlEqnLcGra7NKea+csv/wfrjp3x5hS26Bt2hSL5zhtTgW1DzUT+gATPBdwyfekMWPqJdc5PjutiZNKWSIWUWSfpMoVMWs7UvxBRW7ST2V8DSw5lel1kC3YOjEzXC2/fyodulcw6M6q32Wjr6YgnqGnhLBMIbMAzHjiGVGLXv74GVkyG5tWQMDoebSvbTd+ZcmQKHJoLjeecwnt7lSU7cvq7BO3l1dhnTlRJbgZO+ZDUpIWVdOS6fIC3G+naeWj4YScpJNVr9OMkYPZ8eHJ98GaloHVrJQeHQONatWPuiiU3Pgw8ooAck1okn7tdrXbsWhnJ2snFLwHFjBbHF23Fmuufkb3v7gAzOoktQGOGfaStSGkZI8CNv16GrkWZNHL9K7mOUgk4nHDxSwB0rJ17MVLzJqD/+MvgdMv1Gg4FEAp0oMH/AfbWkxPa+dh9CL0cZYiDUds2OVyi/KCDBDQ5NUDxDul4RuNyF8BNq+N24odskVIxDEbZSBu0F6NfOBphbxM2fnEl0BbP+xN2EmiW0RCBnSh57nDA70Tb2nbseXGl+fXeShpCgk6ZDt8QxRFJawAK90Y8HZefDH9Vi+1Hxjx1Bnb8pgH5t8UjfiRLZXueLkfj35nRiP/1enR8nM+snsjCHP49HdGGDJndakmhoY6PhbCD/Dxguifj5x6N/d99j6yJpfCkJBOvcOe9fLHbHekY6JBlxeRmTjX0+KmbrPTPipQ+e0XU136K/GKwVYOd2mhGx6oiDG807uvEFtJxugI0AAFP3/ppASpWlR/YGeSiKKoA1kxgTVZMLOoxUBuBnFpgw2jz4hpcxpSgM2SM/nOaATZZtdyMuxRylXVj7Ntf3AEl/a2Ti7otUQJ9BKJbAzdF3n6zMnrfQLqf9zqPtXQl8Pxv5YxZO0lsBSYvZ4Soa6wbCSRnyEHnIaGNEZ6Pvb7o8ka22EST/hX2nrgOUr8aWYxRZQ5svPQbvmZMRCq+7ETseGARp1uJ7xhQgTEPXAhnghdrrnneXH7wdcjOg1sfAD48SWZSVAYogPd46lJzy5wiqSVj0fSyB4jzY9hxd2Dbv57vOYYRt5yNlrbF2LfxDWDrMNk5IORv18u/fR1mQE00cQXM1/TEjyIZvABGWyO2mp8T7V3LJwPvnU6jAiDeOxrptTdh76efAxoQl5sFf7URldVkGz2z3fbT6M56C3H90zDysqvRUdGILbd+aXvYg/4wDTsf+wEAUPLQr+ArlE5G575mbN5wlom9bUThx4j3lqCzqxxNL+TjwLxqdF18K3DPndy7B9vC5/UDhy5ha9O6cTynWLOavX4OgxFZLkWSpnsx9Fnu07ayerRuqEbV25sjM225+2W5TDAN9qu0NyRJLfZlNSFDtgHvnyHfG638ZEjm74LwDfKh8klJ21zwm2HY996PkW8evR6lf4wcnBEOBbDmgbuAjANIHjgcLU8MlRkyqwzaYU/JOnUJr3OXl8Ocugx9V7iHg0Oqc6SzP3i7JNkR18Lv5ec93TIjlNTCx3YBmp1YAYWpjRhzx7VwJ/zfz8P+7zXYA3YCewbRSKY1Rm/LEAMg8qoMuj5lITuDpPFbPoWbXKU1tXJa20laAzdaT0SsM2LIqudGPuprIjHDmnnxHLmASFk7ZSBSz6U/UiFkNJrBIxtGsW+x28PaUqMNkMS6AK1GprjcHEmc8oHcANU5Mpo+5EcOuD//DTJlnfdGdJpHAYpzB5BUkoPWzTUE9LUpyPOUJm6uBoOnXEWZ9gL88o7xo+QvJ6Jx9Q7sfnmh+UW/Fwi6MOHlc7H6hK+UFwxnRXcBfrcZETugIvJHBHmGRWEWXz0LO+5ey2MX0YshSRNT4Zy+Bk3VyyK/K+Tk/Vx6KJ9Ta6zJzUgal4FWbQHXh3D80hro7IQdnEX91rnANY+zjlqTK7M8Pb/jNN9btX/7lPeBaUuYuRm6DbjtQZ63GC143d+Ax6+n0mxNiqSxXXKo+fHWYVwPiW2yvj3vBIVD3XA4PpvDh4d/T1xEVh3GXH8z3AmJKLv/W7Ssr0ZvMu7FU+GM92DbPQvQtqVOHm86xzOWDjaXj+pWrcCez+bx3qwZT7BeNBCdQlVpes4qVsyHkGFbzWRN3W7T5D/vqG6Memccar/chcqXfmTUuad/dGfL2irYv4KOU0oz0H83+6/j/DJynbyMjvH3MwAAcZP88P97qL0OzKk2wLhB7jt1rdg4wePnHYU1L18hxwjHtwOHLu15PSlvOHxpBQh2taNhh7Hm6zNMkwALrsvGvscVwFhyMxKuWYn2793EHwjgWulK6VyGHEBWB3zFPnS+Z1Nqy6mO7LRJbDXrF0PiRuvwV9dH1uytTHaixxtgicPQD/1/MwmZE8abQHD/U/nFYBftBCoOwmDnV0USJCQ3y8fuwMEbbIAUfmo7UUY9lQogUZXWhXPcJ6Tus0ZUVgVx3mvAdU8QzDT/qMhWLxXkpIVjRwRCTviYBn/5VPlc0U6glHWgnuhaC8uU6ZNXM1q++mnz8Z39NrCrP5BfTQVmRdqn11NR1OQaDEbGZ8NG/bOFpAvIriOYqNGYB55kZEUa0nocrIG3jEP6DGZIAs3tWH/ra8iaMRJ1323qiU4yz0hF/b+bYp8/QMOZYp/661V0AO0JyD15FApOY206HOzCms/ORP8xV6KrowY15R/AsfZQhOvj7TM7ziCnWolbpQIiVc7u2iwqkvdP53XQgZSLG9C+MYDgUgVc1h7P+yLSps9cQcfA281BGaqM3MgotA9SWpuFVYK7O+ACznmLmZY04xofuoT/C2dNvUZKv61oXSq6ZAaSUycj0NCNvR/8gNblsTs40h9bj4Y/WNK6x36Gsec/jaaNO1Ax90MUHnMcGteXo22BxRiGNemATF5Kw/D7J4FHryebWlojy0l+H9doU6p06AQYMau2Z5AJAPb5Vw4Api2Cd6AXXVWtcDeMQr9b8pF8SAIOLKnA3huMzFy/PQSQHbDs/aFbeS97I4axSl4ViXhyasxbPLUJ2DAS+HeUcbjjVjMqrSji44BLnlN8O52v2hxmFfMMR+roL5lB2DkIGFom93RbAvDc5TS0qybSIdxdRF4FQ5ypToxeUIxAcwCb/nk/HWZRU/Z76SxOW4xBs67Gzr+sBXL3o/DiQ1D5QGSKvkfSGmRk3YuMuPs4bJl3DwOMWsMJ6rleugTk5lchZ8oMpBcehi3PPg8AyBg/Ho3b1mL076+Hy9fLnPWDlF8Mtgo6S22K3lMpqCTFJhRGToCLhLG1Uk5aQWiqWHs41dpyXCfQby+96uJyptujoDMB8Pg1XabBAXMr1f5cRnxhjanXrji+rioYkeLuSxpQBVVZj2vsWjmqD6AzIs539Abgk+Plb6Y2MoPg7ZLHmtZg9ngH7iBiW9SxrC1mQkwpfEV0wKsPR1cl611j3pyF8rtWYfijUwAHsL/9MTTeMgH+XZH80NEk44YGJPpKUfHat6bnxzxyIdZ/cgkBKBVFrMGrdXsbGXXPOahZsB6pYwei7MlPAADjHvsNnHFurLr2qegftALbxLIbUCEjt/67GRFd/7jpoxM2jIAeCqP2rRrs+4tMfSfPcqP9hDsRCjfCl1KEzubdbKuyAgNP/JgRqEAmx5DS2iyEw51Y88EFkTV+VRYdBjzxeyrI3OrI1K27276tUQdTobsGcv1k1APHzwNeuaTXY0PRLv5eb+1Xos/51Pe5FncWyYlUmXXserjseTMKOnd/D0nRgDNORMU5Lu5nJYq2YmLix7ugB3V0Vhn9yUI/ZNTL6+Hr6AF4jXhlHJo/caDqEQURL8g9opV+CveQ6z3oZkQ+az51wnMKR3hSq8ziFOwFznoXAOCKT0bwNQMI2OHj50XmzxGSJDcAkFlL0Cpgrgsntkpq1kbjN9IazcerRO39Xq3H3n2PEKA294S+9f13u7keBu1kQOMMEwzmCtHx10Fdrjo8ozZQr6sU0TrMWUQ7ng0Awy6+FImF/REOBrHm/nsAAPkzZyHv8Jm9H+tByC8Gu68GWwsT4DB1KSMxvxeoLASgmWdRv3E2cNmLygd1o6VHlwuyuMzgqbaAG9RpTnEGj60daX00saawVcPmCkiPeNxae6YjkQ3obRRlcrNs3QIiU/WqpDZG1vHVDEV+FRXMuLW8xqlGKvZAuuxrH7ST7FYA8B3TdxixSfaNKuJM8CLULlNeuceNRfqEofAVZGDVcZ9Hnsr936Lltpm2hz5h7jEIdQSx7uwF5he8foJtJi1HctEIDCi9Eh5fOlprN2L7orsiv6jD1zP/PGPqUBxYuh1ZM0eh7tuNtr9rEuGEqG1XABHZQsoGo4dwp9sDzPqGxDh5VZwd/fylprpf/zvzkHWmbFtaNeM72ct7yUvmNC0QGV0DfN+XRwNP/Z6P+1XKnvcvjwbGr4VjeBXCDS7k3xaPrIt9WDeitm8Tr4T86jPgqK/IUyDazLLskcgAgDFr5ZrIr5LpWCH9KukUHmxUmtzMa5LWEIlC35cPLJtijqCtklVLrEVF0cH9rirCyAEmY1b6Ge9Nd30Am6bXIOzvls6u9Vp1KQ6ANQ3sMRzm1CZJzVoxAIAO/PGvTEGHHVyHSw4HvjjaICbqRaJNULNKQhv1a3KzzLz8VBmyFXjr/L69d9xqYPhWZF3XjaTkQ7Dz49fla2HNuG/9CbQV/BHDN5P0xXJemgvQLapuwh3/b8Zr9uHO/P9VermYDmOD6g4gpUE+H9clP9sDGNOBwxdHfn/IRUNatAtx52wksEhD5KQwp6IM8vYfnLEGJHWoEOtGefR61g5rsyKNtWYcy4xvZaStym+fk38nWlKQDl2yXqkycoM96E4DN4qY3lSbQ0Ux+Ud5OzIaqHDSG5E9XSFZmLYYGL0e/WYfT3QwQG96cwmwuQShPUqk1K8S1d2PotVvA4AxJJqxBoDV1zwHZ5IbnvEHqOxz9xOAJpCxP05GS80abPjsMoSDXRHGetgMA3Val0XD6w7A31SH9MOK0L7XQgPZ7abD1pxsqm0j4KZiDLn4d8DNrgKADG/NycCcT4BjvmBkE3YCw7YwO7N9OJWNMNZnvAvc+DDSTjKvi6I7B0tnYKcRIYYcwPrRZEQzZMIzl2PCM5dj/JO/5dSrpdN4XfpV0qnK3c8ad041ENYQHkenour+DqwbdkCux/42dX87+fw4oKQM42+6h8Qm4lrWZUqcQM8kpU4zt36Xh0NyhAzcyXRoWhMST25A7q+jGO2ENiSd3EaE/oIj+W/tOPYof3MEuffnHS/v0QenRRrrIdvNj+uyI411Zl3sx1ZpSwJmLkTBDTlMI1fnYPwHx/S83LEijHC912yE67L4b9xq7m81GLHWbLu9XGMHMqknLvuH8flsOj4d8cDtfwXuuA/47Ni+GWug7w5aeyJR1yWb2Vlw8gfMWthI3GAvxn98FLwnb2H3zFFf0YlObua59tVYA2R1fPtc1N1YjJ0NlwFFO4BNw4HKfDosO4uJ3ncH6NSWbKY1HL6NrWzKWrYaawBor93d92P5GeW/N8LuvxuoLIoeYVuj1hnfyg2q1pwBGvdvZgD/H3v3Hd5mdT1w/HtfSd57xI7tDGfveIQkjLBnWS2UFgqUQoEy2kKh/ICyoaxSCqXQ0kAZZRdKS4BSShiB0rDibLKcHSeOE9vxtmTpfX9/XO1hOyQmSDmf5+Ehll4tW9J5773nnPutt0Mv875pJ64x2PnBKrb/e4nutBQ+Mg3OMD7sg9Bp5d6eU5THAiJHyjbvOypa0oq9R3efmrQcDvhU70Ptc9FsXeP8+ol6mixW5vvO/NAEnRPfCCR41FQGviQcLjjwk8i6zNtvhtqRupmKw62n/ew9VF9/N25XB4tfDySkTDz292xb8QpNyxfBU2FTn7lNeh3tgM/8a8xZRRW0rl0DL50Z/bkDPPkjKrO3svBnT8TuDxyek3DYPL0m57aHTNcWjz2NnIwjWfm7l2M/nm8GxG3zj8D9MtqgamHs24Y19+DsZ+C5cwM///Bp/WX7/FmBspy7r9ePaSmyy6YxavqvALBMNzUvnQvP/DD6Yw3bGMg+juau6/Wo6KXv6a0ch6+H6+/WJ4fF20OPPehj+P2Vgdf/wC/gtFf9U67RFF2ZijlmATs+XBJ6xaQloQ2CQM/M+LKBs1r0FGdqV2gC4KB6Rn7rCrp3bqfuNw2kjLPT/V5BYFOMU17TS0ifz4j9msNbE4M+WQleI+1MDWza4zNjPpz4JuwoCgT9T4LyQEyl30u+Hfd++CT8tZep/eRuBt/jYdsvvmImcsGO6JsExcrGjmXmfP15bU/XJ1QNg/QyXrCKGp2UuNb7velwwbiVoWVjp8yBrYP1CcGvb4BHfhr6ez78fRi5LvR+Te8HNbxD5IxPdCLwVzFqjR5YDd2ocwh2DNInfeNWRT++dmSgembEWr00MGwDE6pfJNW2G7/HPsh+2Mrs/fokV2hwDK9hDmYakSVLQQE0pSCLgoNH64ANelST2xRobhGcPBQrWBveQGJZ3u5RQV9YwcHacAPhDU9i/Rm9I+RJy/WPR72vP3DOJHggUBKU+Z/76LnyelyrUsmansnwu0v58pS1DLttMFkHZ9C5upsVx2/V02fZLYFgHfydauvRZSzNfHsAACAASURBVFvA2JtOYtWxQUlb/ztQ9xP3rQN+/0V/X3F7UjqDRnybhmVvUzDxEFIySymffgWq7g0iqoCb8/QH35cQ1mOnddOXkOIJ7Jo051Q49TV9/awP4Zf3A9DdsYmU8nS6N0dJJrMFTlTSyvPpXN+Io20sPTXFgfvx/j0creNYObuXYA16PTO4RWOw9kxdc2tY0WtNwzcpCA7WFnDhX/SodONwfdmE5SFT2y0HfIa7og2bPY325lW9l8U1x37P27LseHxTmMe8owP2hnL9xbx5aGiexiEfkfzEfTh95zU20/975/MDGFb/OmkTMljRcDT88TL/CcT2B7uACd7/0O8LBSybAlP1KLq48hTq354Pm8rg70EJlT96MhCsH7vQv7669iaAQXDyHLofOSX0Rc2JUlYWLjiIJDlh7KrAUsKE5XpDlvxG/fn+5EAYsY4hDzjYXPMvHawh8Hk/cL5+X7Zl6s+Naeh+28lOnbB51vM6yz8aZwrbgtMILntE1/Bff0/ksXmNTPliOD0bDFad2MKI51Kp/Ql6rTl857++gvUx//FuO+w9gS3eppe1lk2CjCFQvlEH0rlH6wRI3+8mt0W3ygU9Ks5u0Sd2vn2v5wT9Lb71bzh5TiBvqHSLDtbehE0spQcShgXPhI2qj3hPX3fKnMAuceNX6qlsH1/VzJywvz/otsq1o3UuhGnomRbfiWDlAn2/t92mf572Ofz4CehK1t99KU69HJW3iyRVFHnfX4PEHWGPWaVb7vlH2Fn4P0kZbfpNGbzOPGWxPouP1rpRmTDz05gdjyrqs7B6XCy+8jldIrN8EkXn55M2Opv1F3nPzH2/5lgz9b4kNv+2k516FBPcicfXoKHXvtboN7Evw/x7L+oNQErqKP7RYIqN61jkzqO4+zZcc0dTOO0A0suG9rkes+SWx+l55SA9wjNMvab6n+P0h7c7RY92xq3Uo6vaMXrzgD6Sg3KPz2LIrwax5DRd/lHxr4OwpeuTj0Unfoyn3buUULVAd0PyufxhjPUVmP+KkvT1ztF6ze6J86G4QY8QCnfA66foL88Pjgg9/sh3/bMBauQWSmeczJbnw0bAma1U3v5/rPvL27QsWx9yVdkPq9iy8CndaKM5T/+do23bGM0hH5HWcgydrsU6u7cvSydFdjg79MPYxx/9jj4R/ft3+/d8gOSydMY/eBBGssGG5l/S1PEqU8sWs+LHNbgavGutf7pU/39Xtn9bxWrv1HZd873Ut/bRSObhy+HpH0VefuX9UB80DZ3Zqtca64t7n0H5KiYtDWSJD9mkR+zBJ77TPtMBd37QDMmB8+k3X+JgcKVGbpOeyfGtl2fv0j3+fQl+5z6tE7BWTIi8v9Nf0UlZvqDm+73k7MI2cxWen99O0Wevsv2afIr/vIX0guGsvc5b+9+RprfQ9Y24p30ON90Op76ufz78fZ38VrZF91VoytMj0Yw2KKtjTOHLrJ53q16eAu+yn3e3OKcDPvC+38eu0LNRu3IC5bGfzIhcpvM5/i2du3LwxzDro5AuhePuPIaVh/VAk/d+0tuhqqb3dfBB9d4d0pT+Ht5ZEChR3MuqG3pJFP4KJOls9EqoHbd7Ads3XRXOcMOMz/V0WvjWiUDuhW0Mu6OYRT/9KwCDT66k5NQq3O3dLD5kZWCq3SLQutHXqtA3ve1LQvKtb5/yT5057Zv6Se3QHdd8AT3JGXtHo+Dp3cse0SOR6+6hwt6ETfV/S7jutq001L5JTsl01vz3Dr1ueuo/4IKn+3V7W3oSno29N2ggr9GfuFdywTByjygkeUgqNYd/BMDE5w7APshD144GVv+gl9IOn3Of1nXhsT6oHkM3SMkK2g7Qt+fuTx/RfwPf6DDI8HOOYcOz74ReuHxCSElW0q+fxDW/AN48OfJxD/hM19qGT7d6Ff4gG1Lc7Kh9CwwFRXWhSVSlm+GFs8Nu1BDZ3KQXxSdUU//UZp0pHPQ+9iU49cbyWNSc/G/9w823+Ut8xg9+C7enkazUwMmTZXkAhYWbhZvGRL/DbcW67Wq44BIwj6GD6orxkcftjlP/oT9Hvr+VdyRYdPoItrf/MZC7YSq9njtxmX4PgX4/LJ8Yme0cy6wPyR4/lpY3gvJWnEmh+wVM/zR085mVY+BPlwXKpnzmHaq/p2bO12vB0UoNu1L0MsqysMHEAZ8GOhw6XHDy6/DI5bpErXBn5P1ce4/O4/C9xu7kkPfqyEFPsHb7BdCcw+Sx75KUls8isxTPZofuYVDUoEfvm4fAtjJIaddZ2AqdHwBwwpt6pL65l2WYzFZ98h8e5E+e0/fvP7x3gm+5x0JXAUz4Un+P7wWTFuSRPER269qLI+yVsGZc5Bq28m7aoAidBk/tjJ0Mlt4GU5bpP3x3CqyJ/BKqasqm5qInADCS7FT+8Ty66pr48sbX9KivIwP/O87eEwjYvl+/J2yryuJtOvFi9k/0z2ntuqe5L2CHt1gNbrHocOkgaJi693NmG5RupTpaAlkvFkQbmT30837f3p6bgntNHycIDpde28trivqBrPigApvSQX/BYb2MJoP9/KF+HZZ3YhZNb3q/BI99OxDAr44M2D6pJfmMvfK71D1Ry45HQq8r+WkhWx/WSUaZB6bjyVtD5wGP6hmRtC6ysw+n5YrYLToBqpfrUYyzrYll//c3/b48fJ7u4+3bptHw6Kna/Ea91/NDF+Lc0Ypz1y7W/uE/vdy7V1BJy5Tnj8SR04+tLCEkGz84yJs9Jma3B1dDF2kjQ0/QVmw7iU6XzpqfWraYlq532ND4Sx2MZ+olFG6/EW72JvJd+kho69vgfufJ3bo0x+UI7SA4bL1uZVrqnWLdVgzzDtdJc8nOwKhs7Qid9PnXc8FjZ1D2eQzJu5Udu/7Opi236Jpj72YiZTPOZMun+uSh+seP+x/K1dLCqmeewHXkY3q5oTlHz94AnPAvho29hoLM79PW/Qmr3747ch35yLnkpp5Gc/er8NL39TpqtJ3nhm7U3wmfzAydURu6US9r9TXLBnrN1XuyjsfQ/77nuojDRl91PJnjS1BKYWGxg0fYzM9Ca7KDldTpUXjwcyjeFlqFYAEvnqmnn8N9fFDojFlviup10ipQcPgYhp0ziwV33KyvM1WgLDF4d73j/q2D/ujV+ns3vyn0PufPJOPBV2l/386oF7LIPiqZL2/9B10rnboZ0cEf65O44NmB4GqJwz5gwp8OJrXgK2zmE4ME7JFrYN3owP6tvikaR0+gHWlv69ZeRqYH094SkpSQ6q6g60tTv0m8U9ZVTdl0rGtg1d263rb68R+z5JoX6WnugEWTA/tNQ+guWD7he0Urk7J3l7HlOO/oYtQa/aFbPU7vc5zXzKAfltBwlxF4o4ZNuxf/NIP6XwaS32IFbLezjS/fvZoRM65m1dyb4Z/fZtSVx1G75WJ9wNoReq1nUENkL+VrfqPX6B69NPYv0fK+vtQubz25oafUgz/wuU3RWy7OPZrx9i8Ai/bGVWw+PWyEes+1cN29+kPq66997l/13zj8dxyccFOxUH/JR/PhLN3L++r7Kfj8cXa+FEg6y55UTs97E+hc2nttd/XyCfR0N7PkzYsCl53+Cp5OEyNJUTM1eqvS8a+MIG28PhGzLIuG9f9iy5LHKFz3W3b8xcXox4eya9Mif+lY1SM/Cem4tOq/19Pe9KV/XduWlszIS45j9e/mhDxO+pAhlP/4CJKL+l+x0LWhjS8v09USU186GnumA9fOLpb+8IPQ1x42Yu/u2YDDNgiboR+r3VlDqmMcPZtsdHxmkf+9FBbE2GDCL6NNfwHbLHA4Q/vjp3foEkzvr6HgwEnsfCbK3+fEN+CkN3t9mFGFT5CVekSfS0QLN03CtNrJSplF3s4r2bn0EzKOc1KaG8gNcfZspKnjTbp61jCi8AEWbByur1gxTtcSx9qo5oyX9Gi6rgQeurLX5xEhOL8huVsn/9VUwuMXwy23wNAtJKUMxnWrTvQces5BFB4eOYNh4aEGe2hQ7IOhUjGHemd8PIYOcFsH66ZO4a67Wy+NFDboOvGVYc/B8Pj/ViNuqyC3VAf4Rb+7A097jx44rRqr19G9eRpGKuSMrmD4qd+hBgfgoQoPCgMnG9nGHTTyF1KYwESWx3wdO/9by8YnPiSiLrs5R8cSw2Lqw9/HntL/2cq+SMAOD9jt3l+u3dPvgF3RavDlrA5cde0wOtBTt+qDWbQtbGHN5Sv8b7SKTdmYVjdLrnoegIl3nM7ym/SWdOpfp2J1Ba2P2dyhZ6NmjHXpe/8P6kpJLy2n47nhDP7BaLZdl6rP9nzd0trS9clIlAYRVZsGo2yKHZ7HyDZOJEnpM8L2JS2kjs7AlmqLHEUHj6B//hDMnxk7gQqY9MEwlrlH69rafjQ+qJ53KJbbpObw/4WuxyZ3B7YvDH791TWhl4V1yaqyd9NsvUyuOo2aw0PXGIfck8rm67r0xikH/S8wAguTpY5ltP0N3FYzi91R1ttuv8m/fFJ8xEHU3xj0t7IBYSW85feXkne8ntFxO1vpcbaSmhW6K5B7l5u1V27Bcll0LA5NPht6czH5p+SwcFrkdPfk90bjKLTj6XJhT489Mm5bs5XVv5tD5UMXYThsrHv8HZoXrKX4+EpKT+0lS7oP0Wrew02cfSgpZbuX3dy2eROrq3sZNU4L+l7oTA2tWvDW9I+66mgyRw5hxc8/pnuz9zP+/Rd03kKPA+68sdfn4FuH74trVwdLf/kig0+qwJ6dStaEMlKK+lj6AXo8u1iy6Cg9/R3ux4+HTlXXlcDsi/ve933GfJ2xfsutOvHLQjfEefCq6Me/dwRVNheK/k3nemhlkZUNdaXk5pxEc+O/Q66fUDaXL7ccHePWkJd+GuUFv6Olfgmd2+rY+kaMPAC3TZebfXioHtWuHK3LrlaN1TMRS6bqz/Gfo2y6ceg8SOphys9upK2mBctlkjQ4heSSFJIKQz8jFhZWj0XHslZWX6mThCvnHoJrWzfJZamg8C/HkdPs/5vknpRF8xu7wJXM6BuPIGtMH3+X3SQBOzxg+7IPU7oh2UXlpgIWZsXewKOy08C1XrG8oluvswZ1yamedyieDjeLvvU/fyJa7hl2RszOYMGFurnK4CMOY9t78/RZv6+dp4/hhhQdsCd+NIjl1WGByudPPwGHjgbVp7/CsumtONeYuiGJr6zGVHpNNqz1auEFaQy9I/KEZOc7G9n4a73WU/negSz851mBK3vsoV8mJXVRp8RSvruCURd8m+R0HdzWuE+ltfN9byB1k7rqTLquDmQ35x07iNzDC8k5ONDXvHFuAxuuiLKWltdI4aWKHWcETR2bSpdC/d+98IMX/BdX2lsxVAqmy2Jh5QrSJiXTua0u+lpXeLMNr3R1EOPsH/h/tiw9yq9xh+4eVtb9KFvmvaoTv57VWc6T3iknaXAKSikWTPzSf6xvWrs/LLfFlvu2U3xhPksOj7J9apjduW+fxv9sJ7MyJ+LL66voaXGy5Kz3+jwu97DBjLg2RkVEDAsO+a/eJrFU/w2n/ONA1l/UgTu7lq76oBG4xwg7wbXA7iZ7Vh4tn9UH+qkP3hYySiqYNQbXsc/Qquboz09jnr8kMXfu4zTPD6yBll98OHnT9WyMZVk0vLuclOIcah+MvjnJ5Hu/T1J+5IjLsizq31yMkWKn7tUvsFyhZ3dDzppJ/kGjaV/ajuW2sFeuZ9W680I6x019byp2WzYbnn2fxse8gfb9w3X56ZjVoKCKHrAMatZ6s6V//BdiGX3/ZJIKk0kZ1r/ZFTfNGCRjoI9v6XqfVMd4kux6tsvZs4llW6NvV1s1dC1KBU4O6t6fS/1/vUtbTbm6Wie8/wNgT0tjyEWTWH/Lmv5Pn0dRPe9Qurd0sfzszxn+q7HkHTsoEJD7acqcAzAcDhad8D//ZRVvHYQtbe8VWUlZV3DzEiviHxgpirHv21h1ROQ+u6WPtGLY81le4S2Jacr3B+yMQ/Wbz5Zup3reodQMb8BqSaL5ZTf1U70jpS/Hs+3vBVA6I7BOF8y0g+WCgz8mZcQZkdf7eozvyvWe4ekI5N7ufU1ZQcknhqWP8W1NN3w9NOWxo+xW8hqvIiN/nP/Q+lX/pO7PbkAnHK39X1iJSPiJRZRgbcuwM/7iCzGSAx/C0fbXqEu/mSx1NKs9R9M19kXgXHKPLGToVaOwZ0bWlqcdtVM3rgBdNuLz04fZcdo/dCnYxmFw1ovwsvd39JtrYdQmOOBjqFxE3Tm7yD48g21/1F/mncucQIHOvrV5Qr6sR234ktrhOtiV254mRU2k1n0yY22h3c6UMvzHNJiP0mHNB2cSW2bOBIJqP+ceRVfR4yQrvZHF2GeGs+rcDVQuGMfuWM8Psa5x4bC/xJSPxrBk1uqYx458qJe9e6OwLCvky6nqg1l73J3JkZ1M4YlD2fHmJv9lI26sJPegYj1zcooOaM3ztmFdM7XfGyQ467w11WV1VPz7IDAtbOkORr+cTc1J+u875YUj9cmCzdRr26VbvT0TFLgdtLzfBgSN7Nsy9dRpazYU7GDnR6vhoxlMuuu3LCMb8ptIModT3H0rm4KCNcD62R/g6eqhYNZYai5+os/nv/RXf2Pirafh3NFG9pTA6Kvmwif06D5seWbSb76Hc4ObNb9YyuaIAsZAsLYN6cBu07M1jeccCUMOhcqF+r09Vr9XsjkZhT1k0xPPv7wDiijWXL0UgEHfK2XI5X3XEtsJLTXMTg2ttEh2DKV62IbAlL9XqmMC625Zxa55gRPzKf84lPpbw2biDvwfoy48jdoXAt3I3J2drH/gc6iJrLgYcnc2akcheUcNYtGJ0V+jT3Dey4a7VuHI60f70zBLTomWqLb3upztjsQdYY9bAavG6xF2SrdObAKdhJLsCknLXxD2Yap26QCzILiG1TslV3KPyeADD/dfvOby9bQ+H3hDl760kbrvB63zfu8F+FvQKNbHu/tUye0Ott4cttY6ZFNg3ejxC0EZlEz4Pu6nT6DhUReV2zJZeJzeahCbAo8V2eZy8FY44xWqTnuJti9aaH5/Jzsb5oROb5/+SmCauI9ksglPVpNckoKREnsqzbIsatx6FFdm3EeR7YqYxzaaz7DB490DOjhgAzz3AzhbLy3YL3gT9xMn9vrcolKmzuz1/j7KLhuB+7t/JlMdRpYROdq2LAur2/JPQ1ctGq+nx2KsNftONibal5KixkY/JoYu60s2uM9ntP1tFrv1yVOWOo5Rtjl8ecpautcFlksmvTUKI93AnmsLCX6m20Pjx2vIP3g0hj30b+L7kiq5aDhbH9sQcl31vOgjod1heSyWX/whzu2djP3NTDIm5NI4v5YNf5nH0HMOYdNvdAOMrAMKGX1bn4OGkOdMbpM/+bLi5aNp+qieTQ/p9XqjvAGz1dBNidI6dAlReJOj3oys9b8fJj52FMtVud7R7rZb+38fQMGhYyk6dhLOne3UXr5OZzabRqDNrk9namhZ5shanQx6zW9g3GpdThVrxzBg9G8nkzktB6UUjTzLBvSsVRUmJm0sQgfySpwY9B2ILLdJzVGhHRuHXTeGghOiVy70V3BQHPv0WNKGZdNTD8vOjN2JMNzIuyaSc3A+zm1dbHnv3+xaVKvzXryldxk/Wk/X+/mUnTuZgmMC36/rbltB26JdFJ1RRt6xg0gq0O+dRSf9D09b7BnUjClZFH67hLyjBrHs7M8pu3wEO+dso2V+E8OuHUP+CUWsvHQRnStCNxWZ/MoMlKFw5O9+4O+NTImPWwmrvFniyU4dsJUFNhOjqJPKdYFkLOc6i2Xj9B+35BaDwTfY8LRbLCryjphHrNVrxsf8B+weqq+723/b7XM2sOU879RzZqteH4+2rzboIO1K6r2tX24TnPAWPK9LeJJeuAFXh57+zn37aTo+8zB5URaNb29n86OrGPqQHWPzWNZeHz2Jwn7BG7ifiFHiNLIWTvwXabVn0vmvQJlP4b0b2fFEl/79AWMfmUrGpBi92MN0W6tZ7tb7+lbZnVFHdAuC1rpTGE93xQsRx+wtmcdA28KdlF48nOKzYyfPBE9pA6RNTomZWKayu7HmBUbbu1sut6CXtf4qm5OuVU62PbqD4gsLSJ7kBDzYVeg2qctvfIXu+kAyXMXD52J2WOz6qJFND9QSS8kFwxh8Xi9lNV+RbykI0CVBTaHPd+Ljh5JSko7pNOlpcrH5D2sZetUojFRYfMnfAsmMvt3zwqTPgI7NUXIQnEmRiZC7Y2StPtG1mXDlA7qXgGHqDT+C5B04ioyRgyg4bJz/Pb30rM9wbQ16j5R7N6Roz9AZ58GZ7L054DM9E+DtDFZ0ZhlpEzLZetgsMjiQRp7yH1rARQxjdow76ptrezdLvxcaSGOdxHVv6SKpMClkNi3aMcvPDh2Bll0+gi2PhHYty5qeS+tnzf6fy28ZT2ZVNktODWw7O+b3U1h9RVjXO2Dy32f4A3F/WZbFxntW0/hv/d05+eXpLD0j8Lqr3puFsvU+SrYsi+b3d7L+Nn3SPv7xKtJG771Es2ASsMes0WffvoDdk6RHXXYP4z+xkzY59EvTN8ouvdug+Gob7kaLxUN1wB7y0nZ6GtzUN+ipsak/v5Hu5kYySoey9p8vsOt8b1bshOWRLQt9kpw6Ucpti10/PWYVZY91sGXlo/CToA/l/VfprNELdXlJdXMOTZv/y/rP9E5NhSNPxPbZ4eQdPYgvP7koemJGsKBs6dx7P6f52gP8V016/gDcqXWsfP86cCZR4rmHwef2L0vUxxeQstQJtFpvMdW+LSTgBAesKrsT50YXy09cu1uPES73hCyG3VbCoulR6pIL9JRcrC8my7KomRRjJO1z4ht6pubv32Xqf8ewOCOw/jfO9l/SjcDMhWV5qHGnMsb2LpnGLABMqxuTLjZ4zqfF+levD1Vld/pnKoIv8wUKy7L8JYR+TbkxN2qpnHsIC4/WI6vsg/MZdVeM92gQyzTpWNtAw/srGHbuwdhSI08yLMvS6/cXRlkv3RpW8mKBobIwOyKXoPxs7sg9jX1KQoP1uBtPJW1YPkuufgF3gwk2DxPvPZWe1m7cbV2YLg+qJ5XMiYU4t3Wx6vLF0e/X5+lzmTj8HZbjnS35dDo85q2SOONvcNx/qKANG4Ev7H6XGfZmzKrA43gN4fekMoXVHBFxeBUmai9Nx4Y//5F3TSRrei7Oum6SipJZdPzHpJSnMfGp0DhSc9RHWG6L9ElZdCzrfRvanEMLGHmHXopqX9JC9+ZOcg4t8C+T7fpoJ2tv/LK3u9ijWSF3Sw+2dBvKbuBuc4NpYc/ux66FXzNZww7um+nbPMMyAA/KEfmGT50CXUsgeZi+znTq2+d+18agk8oBqPcu+S5+SNeMTr3iRnatXAJ4A3Z3aKJSCN8GIOEbeQTJPy2HtMEZsCasvGmdt340iC9YA+xY+yaq8G16mmbp7PPpn8JnsTOBS78zg7r7dRALDtYAScUpJNtGMazqEnJKZ2BPitwAvr9aLZ1RvMb9LcbaP6CHBpIIBP+p9gaUUqQMT6Z6+QTcrd0sPnBdxP1M/NdIUoYls+HmrTT+PbTTUXpFKh2LuhhyXTG2dIPq5RNoeL6JzXfWR9xP28JdZFZGJuL1FqwzpqUx5qlSatw3MsR4kEG36y+fMevWsPrPL8KUJax8fymwVOcPXPsbCgxdyrXacxTVhgvLsljojp1FXGFvZJE7cEITHqwBWrs+ZP2vNjP4WxW0flkXeqVFzGBtpBgYDoPqeYey4LAPafm4EU+XB1tqYNS0zXMPqWoiaz06h2FU2/+of6ye9jV6dNL82TpGXHokudXlbHjqI3KrhqNsijUPhCZgJRdn4/SN+ku2hgbtznTM8HT6cHbvFGZ6u55i7kqDjDZKzh3N1te2ohw2Jv36u2BTJOXoteqpv/sBPa1deLpcpBRlkxJldteRn0TVB7PY8sg6Gl6uizwA4LxncN5bQNKiu3Ety4Dzn4Q/XQIfzYKRa+GweSyihqx3H6T1qNBSq+E3j2HD7TFyD85+Fs56gbTG4+k872eR1z/0cwq4iJ0ERvSbib6UNIgr9lqwBsiszKZtYWCWZu2vlmPPdeBuDizRda/vpHtTJ+tuW0FXbWhyWHCwnvLazJDRMkD5zePIOyowc5cxJZuMKaEzdTmzCiJG5BOfncbON+vZ+WY9Fa8ftEevMTg42zPjP9wl7gh79GrdIjN8n1NHD2nVCrMTJn4RyDS1TIvWty2yjlcopVhe1UX3KovhjyWR/wP9h15wz/XRH+zvp0U2CCjdHNrmNM27Hh7czSxIxtHdjH1Zf9u4uhpZdZAD14bo/dDLlywLCdjRjDnoblafuS3i8qIzyyi9uJyaI0MzJQf/aCgl5w/v9T77y7ScLHSHBvo8dQ5N1rPoLXFMstSxlGx+kpalmyk4eIw/w3bbozvY+ocdlP5yEMXnhwYhV0MPS4/QSTUj/zCEnCNjn0y0fNRO7SXexKj8nYFtC4PO1lvmtVF7WaAWu/TafIp/WETTWy2s/6X3i/3A+VT84dyQEaavrCeqX98Q0qhhsn0dCgdL3KFlIIOMK2gwf0+VvROlvO+vXqbKi1bOZvvvQwNe4RHjKTtjJgtPeD/QFz+lSwdLmwkjauHK31Ptfe/5RlTlt4wn70idw7HZcw0N5u/1bbuT4Re9v69iyZpUxqgrjsXT6aJ7UwdbX1pJ2weuXtZofQ2fg6R1UPXm8YCF5TZZeFloR73CI8Yz9Ow9+wIHcHe66NzYzOZ7NtG9IUo/992Q/9BSGqf+VDcDefkMWFgVuPKnf4AzXmEqzdjJofXzJtb8Uq/HRxs1WljUhG2gOJ7FbOd+uljMeBbu1YBtmRY1R+xexnQ0FW8djC1NnwBals6n6W+yoe82zk1dmG6TlLLUXqfgE9V+PyX+7ohPWba+0bupRtBrtAcSEUa/uX1pmAAAIABJREFUGjoibv24m11vOxl6ezZrTtNrU8W/cJA5S7+BGmo+oaU2ypTrgml6Jyofm0c/jtM7UlKWLl8ARj+Tz5rvtWMkg5ne6F/rG3R1F9kzAolw7Z+72XZflDXUo96FSb3vt5xbeiAFw49kzbWB44bfVI4jI5BBu2v+Tnb8MzAKHX3vpF7vc3etcUdpvB/8HLf+guZ/BJKrsicPYdCRfZcsmT0m7V90kjkjvc8vhXX/twVPq4ljkI0ep14/G/KzESSXpqKUovbnm7CCe8mMX8HoK/TWhlueWEVXy6aQaoPcquHkHzKG2oeCuolZhGYBmwou+2P0JjBemeowim1Xh1xmWRZddU3U/d37/j/1Nd3b2Wf+zIjyluHnH8GGO4NGduO+jNyVbvyXDD/kEhxpqXRv62Lzg2uxZ9rJmpFH0+Rr9SYeDreOnY9czlc18rKjMbtNmt7dQcv8ptgHJge9p00Vsp/88Ksn48gOzC54unpYNztQQlZySiXp5ZGtgfdU6xfNbI818u6FY7BFz5WRncOCDWM2SQSqLUy3iVIq5vqpiZM25tHM3xjCQ9jYza14v6LuLZ1s/oMe5RpJCtNlYUu34YmxhFF2STkpw9J2KzAnkmOOOQaHY+9Nre/3AfvR4me5dPu5fR8ohBBC7IZdu3aRnd2/RNz+2O/XsMenTeQpPtVNSrwngbbCHjzNgTPC8R+GjrBXnKjrPe1pabi361G1owRGvaiPc7W1sPbVZ4nQmQqvBNVTO1whI6zin2ZQ/3A7ZTdlsuXJsPXSWp1JmnruIob/aFbU17L6u+14mr0nVjfc6b983BE6W33l+6FT9eOOuBOlbN7pKQ8ow19f7H+td3q3oOxIp/xnM0gZ/NXXqmNxt3Wz5qGgdc5r7yVPnUm2cRLr71oacfyYa07ElhT9LWm63eyq2YTpclNwSIwNJaJYcaYeNRRfmEf9ixv1iDl8FDppaejsrNuut1HM3gVJJvR4rzSNQH33ruzI+wmSPDgZ57WX6NGr2yDbPJWStGv812946iO66noZicZStE3v6BQ81VyyNeR9AeimII9fRIRNMRIIlQlDtoDbzuibZrHGPD7k6rG29zCU/hysuPM1XQ5lGYz89XjMLpP1d0bfT3jcI1Nxt7qxZRqs/dO7lH13BsmDMvB0uzFsdmyp39yvIHe7G2VX2LyljJ1rO+ha00bD8aHbdI4nSq8FkdDS07/iPuV7KGFH2AvGrNabdAStYadUuOheHvhmru4InW5a4K1JTsrJxrVBHzf+4xTSKvSXo6utlaWP3E247NETaLkwaIcmX0Y4kDLOzsR39TTe9pe3sOXh0KSqorPK2f7hR5DWRdWj56PskWt+dbd1Uf+gU5e8PBRISKk+/ZWQ41oblpKaVYYjJdefuVv9+I+j/37CMnuzJpYy/ILDWHL180x94Gzsmb0k0PWDq7Gdpde+FHH5qJ8fQ+qQfJZeo9eAi0+cSv2bgQzeaM/X8pjU/ORJ/89Vs89n+U1/J33EIIadezBGjCAPkeVaEfIaKTgzF49jB82frNdJgUF7Bld9MCuyM9Lw9Xpv6L6MrNV7Hv9ab1ZQ8Z8DsSV7a/yjZVZ7Tbn/Byy5+vnQC3vs8J1/hOxjDug169dPZrJjHes8Z+tGLz4daXrzl/8cF7jMVPqEpCNdb+AQXGLo3cM9uTQF59OhW5cmM4pJDv27dLe5WXxS7w0rUudexTj7RxiqH5tUxJmdPMFG9PvU16taiD2x34+wQ7aY9MqYmUT38sjL/by7cbl2BYK6L1gD2BzRk4JS8groOmo9rne9X+JBa+ajns7DWd/Nsu9HbyJQfO4gtn+hE18WX/08Fb8/J+KYjJl2wElyaSaTwoJ0sKxBkyMuM51uLNNk0c+eiXk7gNbldf4gsfgXz8UM9P0VLVgD1D70jv9kIHPcYEq/M432NdtpXx2Z1e2za9GmkJ9rLtbB27m9lewpQ8g7YETM2w65uZDNt0fZWCKlSycCGhY7/9bEpJen0fxcZLJL09yGyNuGBWtlV1hu7988owPavWffdaXw65v8xy06VgfTsU9F74ZWevo0lGHgyE4lpSSH7o3tekZgS5kuBQwP1gD//DZVDp24Vm57kmVufd9FxtWUZt+F+7s7WTL9AL3FYUuOPnlN6oFf/wKKtjNq61Jqf+T93Xt7uzvrupnc0saq6z7C/cAFmCn1OAnUdtf/M8ZJ0A2/hiM+AKALWOjOZqjtTxQavb+Xtnt+j5sGSm139nrcN0UBF9DC6+RzvgRr8bVK3HdblPIpo5f8DdPl/cJ1ho4su2sDSWq2lBRGnnYOpYeHThcWTJ1G3olBGc2DAzWjbYuaYgbrqa8fGLKBg6cjeg1q5mF2Mg+1M/zh3U9A2fbW4j6D9d5gmXoJwNnYFjF6HH9T6BSiu00nHpWerkvKxv5f753MIsqYotxXLJv/M0fPeIRL7wipHlj2vYVRb7/h19GnegGmvnEQ1fMOpeKtg8GmGPfnSqrfPEHvmATefteR78NVP1oJziSKjg0k+uVUDqP4hKkUHadPuibcdpo+MVg3MqJuP/fFf/j/XZ3a5c8yT1YjGGN7hxG25ymz3Y1SCodRSNWw9Uz47XFUPvojHLlpZE0qo7zsPjJth5NdPobRv4s80Vt6+qe41iRhnhS6BGR2e9i+2Jt098aJjH+9DM58QW8+4Q3WwTZ5Indxc1uNtJk6Y92yTLaY11Bv3keTOXANdPa2kfyDHHpPrOwPj9WKaen3Z4v5bxb0JLG8p3KP71ckpsQN2FEqA4yU2BmNZkeUpQF7D+t/3hxyUc6YiRTPPIykLF3PO+68y0nJK6R9TtDUX0aHDtqZrWy8L0pWuff52bP09Gjloz/q9aUYKYoxr2WQMb1/EyKdGwO9e53bW2IeN+nuM8gYHWV3KmD94x/0+hgtSzaz4MK/sODCv7DjgxXUXPwkNZc8ybJr/xZxbNqwAoadP4uCWWMiLvfxLQU0fRa6ZNC+Zjs75+nf4ZQHfhBx35ufn4+nK/q2oVtfq9HxsroGDgyaKp7xia6tLdtM6gRvMAz780/5x8yQnyc+M43xj4V+kfrqOo0kg+r3ZpE+TucBZEwN2wM5mk3DKPl2IOs7/yCdy+BqcGJ2eyI6RQUbMfgBJr00nYp/HxxxXaZxGLlG6A5sSilS1SQMu40p953F6CuPI8/4PmPsOr8gqzqXssv0LEXOIfkR98nRc+HouSz47yG6Ja6vvW2KkxWp4+DCv8As3Zilyu6kwh76mQmuGGg2X2GxezCrPUezoCeJFiuw3eV6z3ls9dzKkp6RbHRfSr3nt7it0PtKJE3myyxyF7DQnYlpdVLr0b+nbpbHLPFrNJ+jx4o9GyUSW+IG7ChU2GfAMvW3tOWx8LSYkaPytE5cddHLGiZfdi3V191N+mDdK7j9s6CgYVh6j9aiKNOpCqb8cybV7wXqMIN7Qbvbuulp6fQHw6+SY+BqDjQ4aP48sMtY8UmB3ZPSRxWRXJjF2GsDbUuLvzXV/++mT9ZiuU22vlbDggv/gqc7dCkhuLRp07N6PdNyR5YyDTtPr4UWHDyGYefNouTbgTrV4JIQ323Xz37ff1nX1mZW3fuG/2dHZiqVf9T7+AbXRTe8rxP5etq6Qp7DttfDRs0TlkPFQibdd4ZOCkztZvwfQhvHAFS+c0jIJgHJpSmkDE0jbUwmVe/OYsyDU6h855CI2/mMvfoERgZ1Ext2RykllwyFovqQsiZPm4eqxy5g8r3fJ6dyOGa3h6VnfMrC4z6OaPBROfcQqucd6q/fTS5OCWl+sqeKvl9G9bxDGXnnRMpvjrGByQ139XofuqZcYVPpVDtcDDUeAaDV+jed1mJc1lbWeUJPunzNWny2mXfRw2Z2Wn+hzvwVi91FrHWHbQE7QDqthXRbfe+YtifcVjNOax0uq471nrP9ly90Rzb0WdCTRIMnsBGI01rLBs/5rAu6HUC9534W9CRhWb0s94mEkLhr2B2RyS5GeMB26yC+9IDt9Gw3I/eUNizcOy3aP3OSMb0fvWxTO8k/O43GGD3v+9Nib/u7y6n/VyAJy9Phwp7R92N317egbAZmj5u1D8+NfGpD8yn9djX1b+iNNsZdFwjUVbPP180ObAZYFvVv6X6+NZcEEr2aP1tHTuUwGj+pjZoYF27sdSeRMSpy9D74pEqUzaDgkNANMwoOG+cfSe+Yt5LCw8bx5c2v+q8vOl73WTaS7P719eaaDaz747tsffULtr4amqw49voo/dOzdWem5PxARryyGyGJZVXvzkLZ9YnExOcOoPb6ZYy5f3LQ8Spqt7RwOQfnM/W1A7E8Jo58/fcbfNZwLMuice5mNv56A0tO+5TqeYeSlJ9B7a+W0/Jx+K5N3mWTrK+3lWLeUYPIO2oQPc0ulnz7k8gDHC6q3jkKJ8vY6LmMdutDxtu/8E/N+xTaLmKTqWu7V7gjT4yClRi3sNW8Lep1u6w5ke1sWcMa90lMsH+BTUXvIueytrLUPZwp9jocqvdZD5e1iRVu3R1wqr2e7eaDFBk/x66id5DznUj3d/ezzZ5f0mA+DMSuzwcotz1Lo/ksrZbed3qzeQWbzdDOZ+3WRyzoSWKM7R0y1MHUmbpKpMatT5RE4krcLPHxq2FlaJZ42f0GW64LrGdOWppC8gjDnx3OrrAv4pxAG8ypS4uw58Ue0fjuwz7IYMRTqaz+eWjv4kkvTSe5OHbmtW+3o+yKobSEJVn1lgBW//ZSOjfupPmz2FOoAONv/jZpQ/Pp2dWJp7uHlOLYJUm9ZTAHM5LsmK7IHXGGnXcIBbN2bwcryzT9yWTRRPsduDucLL4iSpldkPxDxlB42DhW3jkH0NPqjsx9m7ls9pj+3t5ll48g7+hBLPlOZGCsen/WN6IxxaorFtO+KLC0MvLPxeSM619pXY+1jSXu0M05ctSpjLC9gEkXWzzXMNT2CErZaDHfpsOaj4PBZBsn02nVsNZzWpR71d3yfKodLtzWTtZ7fsxw22M4lK7KqOnJxkIndNopZKojdi5ErCnoSfbVJKvhIZdZlpsat84nqbS39JkJ77FaWOSOfsJQbvsrGWoWS93l/tcCsMucw1pP3zMLNvLwECgPHGRcyRDbb/q8nfhm6W+WeOJOiWdGJiOFT4kvm9xN10rvBz88WNtCA9Hiydupu7v3RvcAnhaTzKnZDP1FYKeeqvdm9RqsAf9acniwBmhbGdli1Kfu5c/6DNYAyQV6VOnISes1WEPvJwjBRl1xLJPvOxOAwiMnUPXYBUx98OzdDtYAyjAov/jw3Xo+9vRkyr43Pep1PoWHjye9vJDJvzmTyj+dt8+DNYDhCHzstjyyLmqwTh6a+o0I1gBjfz+Vqa8fCIA919HvYA3gUKE71xlkMdL+MkrZsalMhtkfRSl9IpxtHEeJ7VYKbT8hSZWQY5xElb0jyr2GjlIty2Kxu4RW6y2WuMtwW424rSZ/sAZws4MmM3o7WY8V+3O9zD0Gy/J4H8dkQU+SP1iDzoSPxrS62O75A05rbcxgXWFvJs84kyRVyljbPMbbA1NzOcYpVDtcDLc95b+s2LiO4bbQk2lfsC63PQdAg/kgC3tyWdCTRLsZ+r4yrU52l2k5Ma1OeqwdrHQfwkbPT7Gsnn4v1dV5bmBBT5J3ev9ROq1Ffd9IxJS4I+wDlsEXk0JG2CNeMlh3TmjGcPoMg44vd0Fb2LRaVktoD3Kv6rqSiMss06JmiA6qI2bnknuiDgpti3dhz3KQWt53kb3lNkOmoMNVPXZBxPTbjg9W+NePw026+wyS8jPZ+dEqurc2M+SsA/t8DsGcDa0s+9XLMa/PnjKEkT87BqUUHmcPhsOGMvb8/C98dF/x8LnYUnrfe9bT5WLRz54hd/oIyi88jHWPvs+umg0ATH3wbOwZe1ZTPhAsjxXRz330byeRWZnrn5JPFKbVDZgY6qu32Wwy/0a6msEy927sfx0mQx3KWHtguWiT5wqSKMNNI9vN35HCRLrR29QWGVex3fyd/9hRttep9ZwccZ8A5bZnWO/x7lVt70IpGyvcB9FphX6XFRqXUmbcw3bzd2QbJ5Ompnyl12FaLmo9J9Nm6XwPByVMcWyIOktQZtzHFvOakMtiTZt3WV9i0o2DYixcdFmLWes5I+qxEHv7XB+31cRid+RuLDJtH2m/b026YNoyWOAN2IMaGPtyMamTFItKojT7T3KGls4YHshqizzOq2rD4JAdv3p2elgyVe9sFC2g9/s5RymHWnGH7khWcmoVg0+u7PV4n4l3nkFKUezdofpr7Z/eZdeCDYy47CjW/fFdkgszGX/rd/zNPwaK6faw5aVPKTpusn9mYHc1frwG5TDImz6y74P3EU+nm0Un6BOuorPKKLskdj25CDAtFyattFvzI5LWwlXZ9UzbUvdo7OQywaG/X3xboAarsDdjU+mBbUN72YxlnG0+Kz2RJ8HpaiYuaxM9hG0Hav+EdFUVcfyeWN4zhW5WMtVej13pGvrennPI87H9j5UevZFKpb2FHebsiMDeHxX2RmwqE9Ny0mK9Ra7xbQBc1maWuqN/9vLV+Qy3/3m3HyuR7fPGKUqp+4CTARewFjjfsqxdvd9qL3J4p7STnKAg42A9+su7wEXTy92hI+rw/al7CdYAPQ0mSaWB9exVp+lkoaJL96xdXeUj57Hwcr1DUdXs80NGrFtfq6Ho+Ckom2LDkx9RdEyghrfo+Mn07Oqk6RO9p/TeCNYAIy89yv/vPW2ksjsMu22Pd2XKP/irj8S+LrY0+x7t9bu/MlQSBgVk8y3/ZYONmxhs3BiyNekk+wp/S94sdRSN1lO0mR+SaRxKq/V2xP3alP78+kaN1Q5XRABMYgST7MtRysYo5vhLsXw6rNBp6FSmUGq7c68Ha4CJjiURl1U7XDSaz+CgjDWe46LcSvMFa4g9rR+u1LiHOjN0s5PgbWEBou2gOtm+Hpe1iQ2eC3GyhkbrSXBbDLP9EaXsuK1m1ni+xVjbu3s0C7M/GMg17HeASZZlTQFWAzH2phxgKnQGQSVHXhaNka4oPC+NQT+ODMLb/9zu/7fptHCu1ScHaRP3bORpJNspmDWGwiPG+4P1+JsDTUcWXvoUOz9aTdP8Wlbc/k//5TkVw/zlU0LsL5SyMcL2AmmqihLbTSilqHa4/P8lq8AIL0npHuqrPUfjsTqo9eiRYI46hTG2uUy1b436GJX2VvKUztMoMC5ksmNl0Jr78ZTb/soo22tRp3kr7W1McHxBthE7cA6EfONcsowjqLJ3UWHfSZW9C4M0ctR3+rxtsXEtE+yBdebRtjeptLdRYW+k2HaV/3c7zja/l3sJqLS3kqRKyTAOZKI9cILRaD1FjTuNrZ47WO/5IZ3WApa4+9Hudz/3tUyJK6W+A3zXsqyzeztur06Jz1wEn1ZAWjvktPqnqjff3ELD4x26TWOYjIMN2he3gN1DxcpibJk6aPqzyIP47i/4uj2ZDo/FsixqLnoi5vXDLzyM/Jk6wW3Ng2+TXJi5V/YMFiLRRJsurrJ3R2yME86yTFqtf5OlTuh1zdZjtbPWcwZt1rtU2TtQ6ustx+svt7WLbeYdlBp3sdFzMU3WCwwyfkqpcac/432b5252mk8x0b4UIzxb16vDXBCyLDDRvpxua6V/mWKifTkpKnSmy7KskFmQcEmUM9mxKuR4sPr8G8W7b1qW+AXAW1/TY/Wq6NKMmNdlHWPzb9oR3BWtsjYycQKg/o+9T53vDUopsiaXxbw+uFPZ6CuPk2AtRAxjbaFJfsNsj/crEChlkG18q8+aa5vKYIz9Laodrm9ssAawqxyG2O7HUMmU25+m2uFiiO13IeVpg23XM9mxKmawBkg3qql2uJhqr2eqfRspajQ5xsmMs39CiXFrRLAG/LMgg42botwjuFjvbQKjB5I17mRq3CkRGe7fpNyrr9MeBWyl1Fyl1LIo/50adMwNgBt4LsZ9XKyU+kIp9cWOHVE2afjqzy7qpY5Bhr4qK7JlZ/oBBlOXFzN2TkFIUpmRGvlrsiyLujsDAbtq8+CIY/aW8gsPj3ldcBMQIURsGcYMKu2tDDZuoNLeToHxw339lBKCXeVhV4G17HRVxWDbr3q9TYntJqodLkqMWygzfkulvT3k+hp3csiMyEJ3Dj3WdlrNd7yldcl0mJ/jsSIHTabVvyx00+qm0ey9j0O4HmsHLiv68snXYY+SzizLOrq365VS5wEnAUdZMU6JLMuaDcwGPSW+J88n9I5jPCebNxBHKdnKOlyvTWVUR55VFpyTxs5nA2d5DY+H1ocOZM2sPT2Z8Tefyorbdca4keLA7JY2hELsLkOlUGK7ZV8/DeE12HaD/98V9mYWuXNjHrvEPSTk55WeQC/9MuN+so1jWe4OdCXsrXwsuKFPl7WcTHUEtZ6TKDJ+SZntLu/ly7zLB3fRZoV2j/SV733dBjJL/HjgWuAwy/oKFft7/gz8/7Ll7vnM/7B7cxh2bw415VuxXLDz+a/3JaWW5GHPSGHoOQeRO60c58427Gn9aJcqhBBxwNeDHqDecx915g04KKOHLX3edot5NVvCur7Wuk9nlP3vWJbFUvfImPez3byf7dzv/fdv2W7+ts/Hc9OEg35s8rOXDWQv8YeBZOAd79rPJ5ZlXTKAjxcqaACdc3yMxhnZu8BjA1cSVU1994cG8M22dK8OdELLOLB/tY97QtkNpj4YyNn7qvXJQgjxTVdsu4ZiW2hd+Eb3pdhUDsXGtQDsNJ+IKDMDMEjHpIMW6/V+16Xvjv4kKg6UAQvYlmWN6vuoAWQETrdKr4sR3BRg9zDoJ0a/m/gXXpDOjidCp8PHvBxlS0IhhBB7zTD7n0J+LrZdRbHtKkA3wmm13iZdTceuCvoVqCfZV5CsRuKyNuO01pKuZrLDfIwt5tX+Y0bZ5pChDsamMrEsN6D2acZ64u7WlRpYv3AUhK41TF1ajKfNpGNxD3mn7F5v6aF3ZEcE7P4GeyGEEHufUjayVaCRTrXDxcKeXEx839WKaocTyzIxaaOHHf46/SQ1hCSl18eLbD+jyPazGI+x78Plvn8G+4A9z8CeZ5A8bM9f/ojZsZMkhBBC7BuVjmZA767mC7ZKGdjIxkb/urt90yR2NToQM118L8k+6pu3sYQQQgjtmzAy3lsSNmCrr+mlBTdYEUIIIQZK4gbsAayRm1Kju4sN/kXsrmlCCCHE3pQ4cwXhBjCTz1Fko2JVMUaajK6FEEJ8PRI2YBt2MPs+7CuzZSTs5IQQQohvoASOOjL6FUIIkTgSN2Dvn5u5CCGESFCJG7Ad3ohd2Lxvn4cQQgixFyRswFYO7wp2inPfPhEhhBBiL0jYgI0la9hCCCESR+IGbCGEECKBSMAWQggh4kDCBmxLssSFEEIkkIQN2EZel/5HVvu+fSJCCCHEXpC4ATtJb2CubJJ8JoQQIv4lbMAWQgghEsl+ELBlMVsIIUT8S9iAbWS69D/SuvftExFCCCH2gsQN2Bk6YKs06XQmhBAi/iVswPbPhCuZEhdCCBH/Ejdg+0iSuBBCiASQuAFbeokLIYRIIIkbsIUQQogEkrAB25JyLiGEEAkkYQO2n8yMCyGESAASsIUQQog4kLgBW2bEhRBCJJDEDdjmvn4CQgghxN6TuAHbT4baQggh4t9+ELCFEEKI+Je4AVsG1kIIIRJIwgZsf7yWXuJCCCESQMIGbCGEECKRJG7AloG1EEKIBJK4AdtHGqcIIYRIABKwhRBCiDiQuAFbttcUQgiRQBI4YEf8QwghhIhbiRuwhRBCiAQiAVsIIYSIA4kbsC3vVLgsZQshhEgAiRuwhRBCiAQy4AFbKfVLpZSllCoY6McKYTchyYmyu7/WhxVCCCEGwoAGbKXUEOAYYNNAPk40trIWGLUWNaTh635oIYQQYq8b6BH2A8D/sS9rq2QNWwghRAIYsICtlDoFqLMsa3Efx12slPpCKfXFjh079trjW1J+LYQQIoHY9+TGSqm5QHGUq24AfgUc29d9WJY1G5gNMG3atL0YZiViCyGESBx7FLAtyzo62uVKqclAObBYKQVQBtQopaZbllW/J4/Z/ycnc+FCCCESxx4F7Fgsy1oKDPL9rJTaAEyzLGvnQDxeryRuCyGESABShy2EEELEgQEZYYezLGv41/E4YY/69T+kEEIIMUASd4Qt8VoIIUQCSdyA7SNr2EIIIRJAAgdsGWILIYRIHAkcsIUQQojEkbAB23DofDqVtI+fiBBCCLEXJG7ATrLp/ztkEVsIIUT8S9iALYQQQiSShA3YtnwXlK9DFXbs66cihBBC7LGvpXHKvqCyPFDchJHdva+fihBCCLHHEnaELYQQQiSSBA7Y3jpsyTkTQgiRABI4YAshhBCJQwK2EEIIEQckYAshhBBxIOEDtpJFbCGEEAkgYQO2JXt/CCGESCAJG7CFEEKIRJK4AVuG2EIIIRJI4gZsn8R/hUIIIfYDEs6EEEKIOCABWwghhIgDCRuw7SlpANhSkvfxMxFCCCH2XMIGbCPJof/vSNgNyYQQQuxHEjZgCyGEEIlEArYQQggRBxI2YBvJCnKaMVL39TMRQggh9lzCBuykQUkwbQFJg6WXuBBCiPiXsAFbCCGESCQSsIUQQog4IAFbCCGEiAMSsIUQQog4IAFbCCGEiAOJG7Bld00hhBAJJHEDto+Ssi4hhBDxL/EDthBCCJEAJGALIYQQcUACthBCCBEHJGALIYQQcSBhA7ZlSZq4EEKIxJGwAVsIIYRIJAkcsGWELYQQInEkcMD2kTpsIYQQ8W8/CNhCCCFE/BvQgK2U+plSapVSarlS6jcD+VhCCCFEIrMP1B0rpY4ATgWmWJblVEoNGqjHEkIIIRLdQI6wLwXusSzLCWBZVsMAPlYvZA1bCCFE/BvIgD0GmKWU+lQpNU8pdUC0g5RSFyulvlBKfbFjx44P9hMXAAALS0lEQVQBfDpCCCFE/NqjKXGl1FygOMpVN3jvOxeYCRwA/E0pNcIK62hiWdZsYDbAtGnT9mItlpR1CSGESBx7FLAtyzo61nVKqUuBV70B+jOllAkUADKMFkIIIXbTQE6J/xM4EkApNQZIAnYO4OMJIYQQCWvAssSBJ4AnlFLLABdwXvh0uBBCCCH6Z8ACtmVZLuCcgbr/vqTklsG4FaQW/HhfPQUhhBBir0nYTmdKKVDe/wshhBBxLmEDthBCCJFIJGALIYQQcSCBA7bktwkhhEgcCRywvWQNWwghRAJI/IAthBBCJAAJ2EIIIUQckIAthBBCxAEJ2EIIIUQckIAthBBCxIEEDthS1iWEECJxJHDA1qSoSwghRCJI+IAthBBCJAIJ2EIIIUQckIAthBBCxAEJ2EIIIUQckIAthBBCxAEJ2EIIIUQcSNyALWXYQgghEkjiBmw/qcQWQggR//aDgC2EEELEPwnYQgghRByQgC2EEELEAQnYQgghRByQgC2EEELEgQQO2FLXJYQQInEkcMD2kbIuIYQQ8W8/CNhCCCFE/JOALYQQQsQBCdhCCCFEHJCALYQQQsQBCdhCCCFEHJCALYQQQsSBhA3YltRhCyGESCAJG7ADpA5bCCFE/NsPArYQQggR/yRgCyGEEHFAArYQQggRByRgCyGEEHFAArYQQggRByRgCyGEEHEggQO21GELIYRIHAkcsL2U1GELIYSIfwMWsJVSFUqpT5RSi5RSXyilpg/UYwkhhBCJbiBH2L8BbrMsqwK42fuzEEIIIb6CgQzYFpDl/Xc2sHUAH0sIIYRIaPYBvO8rgbeVUr9FnxgcFO0gpdTFwMUAQ4cOHcCnI4QQQsSvPQrYSqm5QHGUq24AjgJ+YVnW35VS3wP+AhwdfqBlWbOB2QDTpk2T1G4hhBAiij0K2JZlRQRgH6XUX4ErvD++DDy+J4+1+yT2CyGESBwDuYa9FTjM++8jgTUD+FgxSVGXEEKIRDCQa9gXAb9XStmBbrzr1EIIIYTYfQMWsC3L+i9QPVD3L4QQQuxPEr/TmRBCCJEAJGALIYQQcUACthBCCBEHJGALIYQQcSCBA7bUYQshhEgcCRywfaQSWwghRPzbDwK2EEIIEf8kYAshhBBxQAK2EEIIEQckYAshhBBxQAK2EEIIEQcSN2BLVZcQQogEkrgB20/KuoQQQsS//SBgCyGEEPFPArYQQggRByRgCyGEEHFAArYQQggRByRgCyGEEHFAArYQQggRBxI2YFtSiC2EECKBJGzADpA6bCGEEPFvPwjYQgghRPyTgC2EEELEAQnYQgghRByQgC2EEELEAQnYQgghRBxI2IBtM9JIT5uMzZaxr5+KEEIIscfs+/oJDJTU1FGMG/3Mvn4aQgghxF6RsCNsIYQQIpFIwBZCCCHigARsIYQQIg5IwBZCCCHigARsIYQQIg5IwBZCCCHigARsIYQQIg5IwBZCCCHigARsIYQQIg5IwBZCCCHigARsIYQQIg5IwBZCCCHigARsIYQQIg5IwBZCCCHigARsIYQQIg7sUcBWSp2hlFqulDKVUtPCrrteKVWrlFqllDpuz56mEEIIsX+z7+HtlwGnAX8OvlApNQE4E5gIlABzlVJjLMvy7OHjCSGEEPulPRphW5a1wrKsVVGuOhV40bIsp2VZ64FaYPqePJYQQgixP9vTEXYspcAnQT9v8V4WQSl1MXCx98d2pVS0E4CvqgDYuRfvb1+S1/LNlCivJVFeB8hr+aZKlNcyEK9jWH8O6jNgK6XmAsVRrrrBsqzXYt0symVWtAOt/2/v7EKtqKI4/vujKVSa2hdihhoW+JQmoZQ+lJhKWVaEESjZS2GQRJAghK8W9RBFYiRpWJmVIISphNRLamp+pulVjMybklYKBWWtHmadmns4c2/quWf2HNYPhrPPOnvmrP+s/TFnz559zJYBy3ry42KQtN3MxvecM31CS5q0i5Z20QGhJVXaRUuZOnrssM1sykUc9zgwPPf+BuDERRwnCIIgCAJ677GudcBsSf0ljQRGA9t66buCIAiCoO251Me6Zkk6DkwEPpG0AcDM9gMfAN8AnwLzS5oh3itD7SURWtKkXbS0iw4ILanSLlpK0yGzhreWgyAIgiBIiFjpLAiCIAgqQHTYQRAEQVAB2rbDljTNl0XtkLSwbH/qkTRc0mZJB3x512fcvljSD5J2+TYjt0/D5V5T0CrpmKS97vN2tw2RtEnSYX8d7HZJetX93SNpXO44cz3/YUlzS9BxS+7c75J0VtKCqsRF0nJJpyTty9maFgdJt3mcO3zfRo9w9paOlyQddF/XShrk9hGSfs/FZmlP/hadkxZqaVp5kjRS0lbXslpSvxZrWZ3TcUzSLrcnGxcVt79p1xUza7sN6AMcAUYB/YDdwJiy/arzcSgwztMDgEPAGGAx8FyD/GNcR39gpOvrk4pW4BhwTZ3tRWChpxcCSzw9A1hP9rz+BGCr24cAR/11sKcHl1yOfiRb1KAScQEmA+OAfb0RB7KnPSb6PuuB6S3UMRXo6+klOR0j8vnqjtPQ36Jz0kItTStPZBN8Z3t6KfBUK7XUff4y8ELqcaG4/U26rrTrL+zbgQ4zO2pmfwDvky2Xmgxm1mlmOz19DjhAwWpwTtFyrylrvR9Y4ekVwAM5+0rL2AIMkjQUuAfYZGZnzOxnYBMwrdVO57gbOGJm33WTJ6m4mNkXwJkGPl5yHPyzgWb2pWUt0srcsXpdh5ltNLPz/nYL2foOhfTgb9E5aToFMSnigsqT/2q7C/jQ9y9Ni/vyCPBed8dIIS7dtL9J15V27bCHAd/n3hcujZoCkkYAY4Gtbnrah12W54aEijSlotWAjZJ2KFtuFuB6M+uErIIA17k9dS01ZtO18aliXKB5cRjm6Xp7Gcwj+9VSY6SkryV9LmmS27rzt+ictJJmlKergV9yFzJlxmQScNLMDudsycelrv1Nuq60a4f9v5dGLRtJVwIfAQvM7CzwBnATcCvQSTbEBMWaUtF6h5mNA6YD8yVN7iZv6lrw+4AzgTVuqmpcuuNCfU9Ck6RFwHlglZs6gRvNbCzwLPCupIEk4m8BzSpPKWl8lK4XuMnHpUH7W5i1ga3lcWnXDrsSS6NKuoyssKwys48BzOykmf1lZn8Db/Lfv5wVaUpCq5md8NdTwFoyv0/60FBtGOyUZ09aizMd2GlmJ6G6cXGaFYfjdB2Gbrkmn9RzL/CYDzX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t=list(range(T))\n", "fig1=plt.figure()\n", "corlors=np.linspace(0,1,N)\n", "for i in range(N):\n", " x=gen_path(T)\n", " plt.plot(t,[x[n]/np.sqrt((n+1)*np.log(np.log(n+1))) for n in t],color=(0.8,1-corlors[i],corlors[i]))\n", "plt.plot(t,[np.sqrt(2) for n in t],color=(0,0,0))\n", "plt.plot(t,[-np.sqrt(2) for n in t],color=(0,0,0))\n", "plt.show() ## 画图\n", "fig1.savefig(\"law_iterated_log2.pdf\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.3" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, 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