{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "# The Random Walk" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "The first cell loads two external modules" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "import random\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "Now we create a single random walk" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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/38ave0+YnEhERDydSo2Y5tFuDbmvQ13sDicjFyVx5PRZsyOJiIgHU6kR0xiGwat92tGmXhgnzxQydF4CZws1OCwiImWjUiOmCvC1Mic+jurBfqSm23hu+WYNDouISJmo1Ijp6lUJ5L1BMVgtBitS0vnrz/vNjiQiIh5IpUYqhGsbVeelu1sBMPXL7fy0+7jJiURExNOo1EiFMeS6+vSLi8ThhFGLkkk7kWd2JBER8SAqNVJhGIbBy/e2oUNUFbLPFjF0fgJnCorNjiUiIh5CpUYqlABfK7MHx1Ij1J8dGTn8cdkmDQ6LiEipqNRIhVM7PIDZg2PwtRp8uSWDWWv3mh1JREQ8gEqNVEix9avx8r1tAHhj1U7W7Mg0OZGIiFR0HlFqDhw4wKOPPkrDhg0JDAykcePGTJw4kcLCQrOjiRsN6BTNoM7ROJ3w5EfJ7Duea3YkERGpwDyi1OzYsQOHw8GcOXNITU3lrbfeYvbs2Tz//PNmRxM3m3hPa+LqVyUnv5ih8xPJyS8yO5KIiFRQhtNDpzCnT5/O+++/z759+0r9GpvNRnh4ONnZ2YSFhbkxnbhSZk4+vd5dR4Ytn1ta1mJufCwWi2F2LBERKSel/fz2iDM1F5OdnU21atUu+ZyCggJsNtt5m3iemqEBzImPxc/Hwrfbj/H2d7vNjiQiIhWQR5aavXv38u677zJ8+PBLPm/atGmEh4ef26Kiosopobha+6gqTOvdFoA/f7ebb1IzTE4kIiIVjamlZtKkSRiGccktISHhvNekp6dz++2307dvXx577LFL7v+5554jOzv73Hbo0CF3/ueIm/WJjeThrg0AGLckhd3HcswNJCIiFYqpMzVZWVlkZWVd8jkNGjQgICAAKCk0PXr0oHPnzvz973/HYrmyTqaZGs9XZHcw5K8b+HXfCRpUD+LTUd0ID/Q1O5aIiLhRaT+/PWZQ+MiRI/To0YPY2FgWLFiA1Wq94n2o1HiHE7kF9Jq5jiOnz9K9eQ3++odrsGpwWETEa3nVoHB6ejrdu3cnKiqKN954g+PHj5ORkUFGhuYqKqPqIf7MiY8lwNfC2p3HeXPVTrMjiYhIBeARpWbVqlXs2bOH77//nsjISOrUqXNuk8qpTb1wXuvTDoBZa/fy+eZ0kxOJiIjZPKLUPPTQQzidzotuUnnd26Eew25oBMAfl25mW7ou2RcRqcw8otSI/J5nbm/B9U0jOFtkZ+j8BE6d0a0zREQqK5Ua8WhWi8G7AzpSv3oQh0+dZdTiJIrtDrNjiYiICVRqxONVCfJjbnwcQX5W1u05watf7TA7koiImEClRrxC89qhzOjXHoAPft7PJ8mHTU4kIiLlTaVGvMbtberwxE1NABj/8Ra2HM42OZGIiJSnMpWaH3/8keLi4gseLy4u5scff7zqUCJlNfaWZtzcoiYFxQ6GzU8gK7fA7EgiIlJOylRqevTowcmTJy94PDs7mx49elx1KJGyslgM3urfgUY1gknPzmfEwiSKNDgsIlIplKnUOJ1ODOPCZelPnDhBcHDwVYcSuRphAb7MjY8j1N+HDftP8qfPt5kdSUREyoHPlTz5/vvvB8AwDB566CH8/f3P/c5ut7N582a6dOni2oQiZdCkZghv9+/AY/MSmPfrQVrXDePBa6LNjiUiIm50RaUmPDwcKDlTExoaSmBg4Lnf+fn5ce211/L444+7NqFIGd3cshbjbmnGm6t38eKKVJrWCiUmuqrZsURExE2uqNR8+OGHADRo0ICnn35aXzVJhTeyRxNS0218nZrB8PmJfP5EN2qGBZgdS0RE3KBMMzUTJ05UoRGPYLEYvNGvPc1qhZCZU8DwBYkUFNvNjiUiIm5QplJz7Ngx4uPjqVu3Lj4+Plit1vM2kYokxN+HufFxhAX4kJR2momfpupmqCIiXuiKvn76t4ceeoi0tDRefPFF6tSpc9EroUQqkgYRwbw7MIaHP9zARxsP0bpeOPHX1jc7loiIuJDhLMM/WUNDQ/npp5/o0KGDGyK5j81mIzw8nOzsbMLCwsyOIyaY/cNeXv1qBz4Wg0WPX0unhtXMjiQiIpdR2s/vMn39FBUVpdP34pGG3dCIu9vVodjhZMTCRNJPnzU7koiIuEiZSs3bb7/N+PHjOXDggIvjiLiXYRi8/kA7WtYJIyu3kGHzE8kv0uCwiIg3KNPXT1WrViUvL4/i4mKCgoLw9fU97/cXu4VCRaCvn+TfDp3Mo9fMnzmVV8T9MfV4s297zYaJiFRQpf38LtOg8Ntvv13WXCIVQlS1IN4bGEP83zawPOkIbeqG80i3hmbHEhGRq1CmMzWeSmdq5H/97ef9vPz5NqwWg/mPdKJLkwizI4mIyP9w66AwwN69e5kwYQIDBgwgMzMTgK+//prU1NSy7lKk3D3ctQH3x9TD7nAyclESh07mmR1JRETKqEyl5ocffqBt27asX7+e5cuXk5ubC8DmzZuZOHGiSwOKuJNhGEzt3ZZ2keGcyiti6PxE8gqLzY4lIiJlUKZSM378eF555RVWr16Nn5/fucd79OjBr7/+6rJwIuUhwNfK7MGxRIT4sf2ojWeWbdaSBSIiHqhMpWbLli307t37gsdr1KjBiRMnrjqUSHmrWyWQWYNi8bEYfL75KHN+3Gd2JBERuUJlKjVVqlTh6NGjFzyenJxMvXr1rjqUiBk6NazGxF6tAXjt6x2s3ZlpciIREbkSZSo1AwcO5NlnnyUjIwPDMHA4HKxbt46nn36aIUOGuDqjSLkZ3DmaAZ2icDrhycXJHMg6Y3YkEREppTKVmilTphAdHU29evXIzc2lVatW3HDDDXTp0oUJEya4OqNIuTEMg0m9WhMTXQVbfjFD5yeQW6DBYRERT3BV69Ts3buX5ORkHA4HHTt2pGnTpq7M5nJap0ZKK9OWz93v/kxmTgG3ta7F+4NisVi04rCIiBlK+/mtxfdEfkdS2in6z/mNQruDcbc248mbK3ZpFxHxVm69TYLT6WTZsmWsWbOGzMxMHA7Heb9fvnx5WXYrUqHERFfllfva8MzHm5mxehct64Rxa6taZscSEZHfUaaZmtGjRxMfH8/+/fsJCQkhPDz8vE3EW/S7Jooh19UHYOySFPZk5pqcSEREfk+Zvn6qVq0aCxYs4M4773RHJrfR109SFkV2B4M+WM+G/SdpFBHMilFdCQvwvfwLRUTEJdx676fw8HAaNWpU5nAinsTXamHWoBjqhgewL+sMYz5KweGoNKNoIiIeo0ylZtKkSUyePJmzZ8+6Oo9IhRQR4s+c+Dj8fSx8vyOTt77dZXYkERH5H2UqNX379uXUqVPUrFmTtm3bEhMTc94m4o3aRobzap+2ALz7/R6+2nLhqtoiImKeMl399NBDD5GYmMjgwYOpVasWhqH1O6Ry6N0xktQjNj74eT9PLd1EoxohNK8danYsERGhjIPCwcHBfPPNN3Tr1s0dmdxGg8LiCsV2B3/4cAPr9pwguloQK0d1pUqQ3+VfKCIiZeLWQeGoqCiVAqm0fKwWZg6IIbJqIGkn83hicTLFdsflXygiIm5VplLz5ptv8swzz3DgwAEXxxHxDFWD/ZgbH0egr5Wfdmcx/ZudZkcSEan0yvT1U9WqVcnLy6O4uJigoCB8fc9fs+PkyZMuC+hK+vpJXO3zzemMWpQMwDv9O3Bvh3omJxIR8T5uvU3C22+/XdZcIl7l7nZ1SU238f7avTz78WYa1wihTT2tqi0iYgbd0FLkKtkdTh79x0bW7jxOvSqBrBzVleoh/mbHEhHxGm4dFAbYu3cvEyZMYMCAAWRmZgLw9ddfk5qaWtZdingkq8Xgnf4daRgRzJHTZxm1KJkiDQ6LiJS7MpWaH374gbZt27J+/XqWL19Obm7JTf42b97MxIkTXRpQxBOEB/oyNz6WYD8rv+47wZQvtpsdSUSk0ilTqRk/fjyvvPIKq1evxs/vP+tz9OjRg19//dVl4UQ8SdNaocx4sAMAf//lAEsTDpkbSESkkilTqdmyZQu9e/e+4PEaNWpw4sSJqw51Mb169SI6OpqAgADq1KlDfHw86enpbjmWSFnd1ro2o29uCsALK7aScui0uYFERCqRMpWaKlWqcPTohfe9SU5Opl4991zS2qNHD/75z3+yc+dOPv74Y/bu3csDDzzglmOJXI3RNzfllpa1KCx2MHx+Ipk5+WZHEhGpFMpUagYOHMizzz5LRkYGhmHgcDhYt24dTz/9NEOGDHF1RgDGjh3LtddeS/369enSpQvjx4/nt99+o6ioyC3HEykri8XgrQfb07hGMBm2fEYsSKKwWIPD7pZfZKcSXcwpIhdRplIzZcoUoqOjqVevHrm5ubRq1YobbriBLl26MGHCBFdnvMDJkydZuHAhXbp0uWDhv/9WUFCAzWY7bxMpD6EBvvxlSByhAT4kHDzF5M90VaA7rd93gmumfMvDf9+oAilSiZWp1Pj6+rJw4UJ2797NP//5TxYsWMCOHTuYP38+VqvV1RnPefbZZwkODqZ69eqkpaXx6aefXvL506ZNIzw8/NwWFRXltmwi/6tRjRD+3L8jhgEL16exaH2a2ZG80pHTZxmxMImc/GLW7jzOK19sMzuSiJjE1MX3Jk2axOTJky/5nI0bNxIXFwdAVlYWJ0+e5ODBg0yePJnw8HA+//xzDMO46GsLCgooKCg497PNZiMqKkqL70m5em/NHqZ/sxNfq8Hix68lrkE1syN5jfwiOw/M/oWtR2xEVQvk8KmzOJ3wWp+2PHhNtNnxRMRFSrv4XplKzQMPPEBcXBzjx48/7/Hp06ezYcMGli5dWqr9ZGVlkZWVdcnnNGjQgICAgAseP3z4MFFRUfzyyy9cd911pTqeVhQWMzidTkYuSuLLLRlEhPjz+RPdqB1+4Z9puTJOp5Nx/9zEJ8lHqBbsx8pRXfkk6Qhvrt6Fn9XCR8OuJSa6qtkxRcQF3Hrvpx9++OGii+zdfvvtvPHGG6XeT0REBBEREWWJcG4g8L/PxIhURIZhMP2B9uw7foYdGTkMW5DIkqHXEuDrvq9qK4O//ryfT5KPYLUYvDcwhsiqQYzs0YTUdBtfp2YwfH4inz3RjVphKpAilUWZZmpyc3PPW3Tv33x9fd0yjLthwwZmzpxJSkoKBw8eZM2aNQwcOJDGjRuX+iyNiJmC/X2YGx9HeKAvmw6dZsKKrbpS5yr8vDuLqV+WrNr84l0tua5xdaDkyrM3+rWnWa0QMnMKGL4gkYJiu5lRRaQclanUtGnThiVLllzw+EcffUSrVq2uOtT/CgwMZPny5dx88800b96cRx55hDZt2vDDDz/g768bB4pniK4exMyBHbEYsCzxMPN+PWh2JI+UdiKPUYuTcDjhgdhI/tClwXm/D/lXgQwL8CE57TQvrUhVgRSpJMo0U7Ny5Ur69OnDwIEDuemmmwD47rvvWLx4MUuXLuW+++5zdU6X0EyNVAR/+XEfU77cjtVisODRzufOMsjl5RUWc/+sX9iRkUP7yHCWDLvud7/G+2HXcR7+cAMOJ/zpvjbEX1u/nNOKiKu49S7dvXr1YsWKFezZs4cRI0bw1FNPcfjwYb799tsKW2hEKorHrm/IfR3qYneUDBAfOX3W7Egewel08selm9mRkUNEiD+z42MvOZd0Y7MaPHN7CwAmr0xlw/6T5RVVRExi6iXd5U1naqSi+O9LkVvXDWPZ8C4E+mlw+FJmrd3D619f2aXxTqeTJz9K4bNN6USE+LFyVDfqVgksh7Qi4kpuPVMjIlcnwNfKnPg4qgf7kZpuY/zyzZr7uIQ1OzOZ/s1OACb1al3qtX4Mw+D1Pu1oVSeMrNxChs1PJL9Ig8Mi3qpMpcZut/PGG2/QqVMnateuTbVq1c7bROTy6lUJ5L1BMVgtBp+mpPPBT/vNjlQh7c86w5OLk3E6YWDnaAZ1vrLZmEA/K3PiY6ka5MuWI9k8/8kWFUgRL1WmUjN58mRmzJhBv379yM7OZty4cdx///1YLBYmTZrk4ogi3uvaRtV56e6SKwanfbWdn3YfNzlRxZKTX8Tj8xLIyS8mrn5VJt3Tukz7iaoWxHsDSwrk8qQj/G3dAdcGFZEKoUylZuHChfzlL3/h6aefxsfHhwEDBvDBBx/w0ksv8dtvv7k6o4hXG3JdffrGRuJwwqhFyaSdyDM7UoXgcJSsGLwnM5daYf7MGhyDn0/ZvzHv0iSCF+5sCcDUL7ezbs+lVzMXEc9Tpr8hMjIyaNu2LQAhISFkZ2cDcPfdd/PFF1+4Lp1IJWAYBn+6rw3to6qQfbaIofMTOFNQbHYs0/35+92s3nYMP6uFOfFx1Ay9+pWBH+7agPtj6mF3OBm1KIlDJ1UgRbxJmUpNZGQkR48eBaBJkyasWrUKKLn5pBbDE7lyAb5W5gyOpUaoPzsycvjjsk2Veu5jVWoGb3+7G4BXerehQ1QVl+zXMAym9m5Lu8hwTuUVMXR+InmFKpAi3qJMpaZ379589913AIwePZoXX3yRpk2bMmTIEB555BGXBhSpLGqHBzB7cAy+VoMvt2Qwa+1esyOZYvexHMYuSQHgoS4N6BcX5dL9B/hamT04logQP7YftfHMMl15JuItXLJOzW+//cYvv/xCkyZN6NWrlytyuYXWqRFPsHhDGs8t34JhwF//EMdNLWqZHancZJ8t4r731rE/6wydG1ZjwWOd8bW6Z+WJjQdOMmDubxQ7nIy/owXDb2zsluOIyNUr7ee3Ft8TqYBe+GQLC9enEervw4pRXWlcI8TsSG5ndzh59B8bWbvzOPWqBLJyVFeqh7j36+wFvx1kwoqtGAZ8+NA1dG9e063HE5GyKe3nt09pd7hy5cpSH7win60R8QQT72nNzowcEg6eYui8BFaM7EpogK/ZsdxqxuqdrN15nABfC3PiY91eaAAGdY4mNT2bxRsO8eTiZFaO6kaDiGC3H1dE3KPUZ2osltKdAjYMA7u9Yq7YqTM14kkyc/Lp9e46Mmz53NKyFnPjY7FYDLNjucUXm48yclESAO/078C9HeqV27ELiu0MmPsbSWmnaVozhE9GdiXEv9T/3hORcuDy2yQ4HI5SbRW10Ih4mpqhAcyJj8XPx8K324/xzne7zY7kFtuP2nh66SYAht7QqFwLDYC/T8ngcM1Qf3Zn5jJuSQoOR6X5Vl7Eq+jeTyIVWPuoKkztXbIm1Dvf7eab1AyTE7nWqTOFDJ2fwNkiO9c3jeCZ25qbkqNmWACz42Pxs1pYte0YM9fsMSWHiFydMpea7777jrvvvpvGjRvTpEkT7r77br799ltXZhMR4IHYSB7u2gCAcUtS2H0sx9xALlJsd/DE4mQOnTxLdLUg3h3QER83XelUGjHRVXnlvjYAzFi9i9XbjpmWRUTKpkx/g8ycOZPbb7+d0NBQRo8ezZNPPklYWBh33nknM2fOdHVGkUrv+Ttbcl2j6pwptPP4vASyzxaZHemqvfb1Dn7ek0Wgr5W5Q2KpEuRndiT6XRPFH64ruWHm2CUp7MnMNTmRiFyJMl3SXa9ePZ577jlGjRp13uPvvfceU6ZMIT093WUBXUmDwuLJTuQW0GvmOo6cPsuNzWrwt4euweqhg8Mrko8w5l8L7M0aFMOdbeuYG+i/FNkdDPpgPRv2n6RRRDArRnUlzMuvPBOp6Fw+KPy/O7/99tsveLxnz57YbLay7FJELqN6iD9z4mMJ8LXww67jvLFqp9mRymTrkWye/XgzACN7NK5QhQbA12ph1qAY6oYHsC/rDGM+0uCwiKcoU6np1asXn3zyyQWPf/rpp9xzzz1XHUpELq5NvXBe69MOgPfX7uXzzRXzrOjvycotYOi8BAqKHdzUoibjbjVnMPhyIkL8mRMfh7+Phe93ZDJj9S6zI4lIKZRpMYaWLVsyZcoU1q5dy3XXXQeU3Cph3bp1PPXUU/z5z38+99wnn3zSNUlFBIB7O9RjW7qNOT/u449LN9MoIoRWdSv+16lFdgcjFyaRnp1Po4hg3nqwQ4X++qxtZDiv9mnL2CWbmLlmD63qhlW4s0oicr4yzdQ0bNiwdDs3DPbt23fFodxFMzXiLewOJw99uIGfdmcRWTWQz0Z1o2qw+YO2lzLx063849eDhPj7sGJkF5rUDDU7Uqm88vk2Pvh5P0F+VpaP6EKL2vq7Q6S86d5PF6FSI97kdF4hvWauI+1kHl2bVOcfD3cy9ZLoS/nnxkM88685mr8MiePWVp5zk85iu4OHPtzIz3uyiK4WxMpRXSvElVoilYlbB4X/l91uJyUlhVOnTrlidyJSClWC/PjLkDiC/Kys23OCV7/aYXaki0pOO8WEFVsBGHtLM48qNAA+VgvvDuhIVLVA0k7m8cTiZIrtDrNjichFlKnUjBkzhr/+9a9ASaG54YYbiImJISoqirVr17oyn4hcQvPaoczo1x6AD37ez/KkwyYnOl+mLZ/hCxIptDvo2aoWT9zUxOxIZVI12I+58XEE+lr5aXcW07/xzCvPRLxdmUrNsmXLaN++5C/Szz77jAMHDrBjxw7GjBnDCy+84NKAInJpt7epc64sjF++hc2HT5sb6F8Kiu0MX5DIMVsBTWuGMOPBDh59Q86WdcJ4o2/J33tzftzHpylHTE4kIv+rTKUmKyuL2rVrA/Dll1/St29fmjVrxqOPPsqWLVtcGlBELm/sLc24uUVNCosdDJufyPGcArMjMWnlNpLSThMa4MPcIXFecefru9rVYUT3xgA8+/Fmth7JNjmRiPy3MpWaWrVqsW3bNux2O19//TW33HILAHl5eVitVpcGFJHLs1gM3urfgUY1gjmanc/IhUkUmTj3sXD9QRZvSMMw4N0BHWkYEWxaFld7qmdzujevQX5RSYE8kWt+gRSREmUqNQ8//DD9+vWjTZs2GIbBrbfeCsD69etp0aKFSwOKSOmEBfgyN77kjMiGAyf50+fbTMmx8cBJJq1MBeCZ21rQvXlNU3K4i9Vi8E7/kqJ25PRZRi4yt0CKyH+UqdRMmjSJDz74gKFDh7Ju3Tr8/f0BsFqtjB8/3qUBRaT0mtQM4e0HO2AYMO/XgyzZmFauxz+afZb/W5BEkd3JXe3qMPzGRuV6/PISHujL3PhYgv2s/LbvJFO+2G52JBFB69SIeKV3v9vNm6t34We18NGwa4mJrur2Y+YX2ek351c2H86mRe1Qlo/oQpCf58/RXMqq1AyGzk8EYPoD7egbF2VyIhHvVNrP71L/jfPnP/+ZoUOHEhAQcN5tEC5Gt0YQMdfIHk1ITbfxdWoGw+cn8tkT3agVFuC24zmdTl74ZCubD2dTJcj3X+vneHehAejZujZjbmnK29/u5oUVW2laK5QOUVXMjiVSaZX6TE3Dhg1JSEigevXql7xNQkW7NcJ/05kaqUxyC4q5f9Y6dh3LpWN0FT4aei3+Pu4Z5P9w3X4mf7YNiwHzH+1M1yYRbjlOReRwOBm2IJHV245ROyyAlU90pWao+wqkSGWk2yRchEqNVDYHss7Qa+bP2PKLeTAuilf7tMUwXLtWzC97s4j/6wbsDicT7mrJY9d75xzNpeTkF9F71i/sycwlrn5VFj1+LX4+FfOWFSKeyOWlZty4caU6sGEYvPnmm6VLWc5UaqQy+mHXcR7+cAMOJ/zpvjbEX1vfZfs+dDKPXjN/5lReEb071mNGv/YuL02eYt/xXO59bx05+cUM7BzN1N5tzY4k4jVcPlOTnJx83s+JiYnY7XaaN28OwK5du7BarcTGxpYxsoi4w43NavDM7S149asdTF6ZSvNaoXRqWO2q93u20M6w+Ymcyiuibb1wpt3v+rNAnqRRjRD+3L8jj/xjI4vWp9G6bhiDOruuQIrI5ZX6/OiaNWvObffccw/du3fn8OHDJCUlkZSUxKFDh+jRowd33XWXO/OKSBkMu6ER97SvS7HDyYiFiaSfPntV+3M6nTz78Wa2HbVRPdiPOfGxBPhq4c0eLWrydM+Sf+hNWplKwoGTJicSqVzKNFNTr149Vq1aRevWrc97fOvWrfTs2ZP09HSXBXQlff0kldnZQjt93v+FbUdttK0XztLh15W5iMz9cS9Tv9yBj8Vg4WOd6dyouovTei6n08moRcl8seUoESH+fP5EN2qHa3BY5GqU9vO7TJNsNpuNY8eOXfB4ZmYmOTk5ZdmliLhZoJ+VOfGxVA3yZcuRbJ7/ZAtluU7gh13HefWrHQBMvKeVCs3/MAyD6X3b0aJ2KFm5BQxbkEh+kd3sWCKVQplKTe/evXn44YdZtmwZhw8f5vDhwyxbtoxHH32U+++/39UZRcRFoqoF8d7AGKwWg+VJR/jbugNX9PoDWWd4YlESDic8GBfFYBcOHXuTID8f5sbHUSXIl02HTjNhxdYyFUgRuTJlKjWzZ8/mrrvuYvDgwdSvX5/69eszaNAg7rjjDmbNmuXqjCLiQl2aRPDCnS0BmPrldtbtySrV684UFDN0fgK2/GI6Rlfh5ftaV+rB4MuJrh7EzAExWAxYlniYeb8eNDuSiNe7qnVqzpw5w969e3E6nTRp0oTg4Ip9J17N1IiUcDqdPLV0E8uTjlA1yJeVo7oRVS3oks//vwVJfJ2aQY3QkjkRd65Q7E0++Gkfr3yxHavFYMGjnbmusb6uE7lSbp2p+bfg4GDatWtH+/btK3yhEZH/MAyDqb3b0i4ynFN5RQydn0heYfHvPv+9NXv4OjUDX6vB7MGxKjRX4NFuDbmvQ13sDicjFyVx+FSe2ZFEvJaWvBSppAJ8rcweHEtEiB/bj9p4Ztnmi859fLf9GG+u3gXAn+5tQ2x9998c05sYhsGrfdrRpl4YJ88UMmx+ImcLNTgs4g4qNSKVWN0qgcwaFIuPxeDzzUeZ8+P5923bezyXMR+l4HRC/LX16d8p2qSkni3A18qc+DiqB/uRmm5j/PKLF0gRuToeV2oKCgro0KEDhmGQkpJidhwRj9epYTUm9SpZc+q1r3ewdmcmALb8Ih6fl0BOQTGdGlTjxbtbmRnT49WrEsisQTH4WAw+TUnng5/2mx1JxOt4XKl55plnqFu3rtkxRLzKoM7RDOgUhdMJTy5OZt/xXMYtSWHf8TPUCQ/gvUExukGjC3RuVJ2X7ikph9O+2s5Pu4+bnEjEu3jU31JfffUVq1at4o033jA7iohXMQyDSb1aExNdBVt+Mb1mruPb7Zn4+ViYEx9LjVB/syN6jfhr69MvLhKHE0YtSibthAaH3c3ucFJY7DA7hpQDjyk1x44d4/HHH2f+/PkEBf3+paf/raCgAJvNdt4mIhfn71MyOFwz1J/cgpIroab1bku7yCrmBvMyhmHw8r1t6BBVheyzRQydn8CZgt+/8kyuzskzhdzxzo/0eGMth06qQHo7jyg1TqeThx56iOHDhxMXF1fq102bNo3w8PBzW1RUlBtTini+mmEBzB0SR7NaITzdsxl9YiPNjuSVSgaHS86A7cjI4Y/LNmlw2A2K7Q5GLkxi17Fcjpw+e9mlC8TzmVpqJk2ahGEYl9wSEhJ49913sdlsPPfcc1e0/+eee47s7Oxz26FDh9z0XyLiPTpEVWHV2BsZdVNTs6N4tVphAcweHIOv1eDLLRnMWrvX7EheZ+qXO/h13wmC/ayXXbpAvMNVrSh8tbKyssjKuvQS7Q0aNKB///589tln5y3JbrfbsVqtDBo0iH/84x+lOp5WFBaRimbxhjSeW74Fw4C//iGOm1rUMjuSV/g48TBPLd0EwOzBsVQP8WPA3N8odjgZf0cLht/Y2OSEciVK+/ltaqkprbS0tPPmYdLT07nttttYtmwZnTt3JjKydKfIVWpEpCKasGILC35LI9TfhxWjutK4RojZkTzapkOn6TvnVwqLHTx5c1PG3doMgAW/HWTCiq0YBnz40DV0b17T5KRSWuVym4TyEh0dTZs2bc5tzZqV/AFt3LhxqQuNiEhF9dLdrbmmQVVyCooZOi+BnPwisyN5rOM5BQybn0hhsYNbWtZkzM3/+Rr1f5cu2J91xsSk4g4eUWpERLyZn4+FWYNiqR0WwN7jZxi7ZBMOR4U/iV7hFBY7GLEwkQxbPo1rBPPWgx2wWP4ztvC/SxcMnZdw7ko/8Q4eWWoaNGiA0+mkQ4cOZkcREXGJGqH+zImPxc/Hwrfbj/HOd7vNjuRxXv48lY0HThHq78PcIXGEBvhe8Jz/Xrpgd2bJIpMqkN7DI0uNiIg3ah9VhWm92wLwzne7+SY1w+REnmPxhjQW/JaGYcA7Azpcci6pZlgAs+Nj8bNaWLXtGDPX7CnHpOJOKjUiIhVIn9hIHu7aAIBxS1LYdSzH3EAeIPHgSV76dCsAT93arFRXkMVEV+WV+9oAMGP1LlZvO+bWjFI+VGpERCqY5+9syXWNqnOm0M7QeQlk52lw+Pccs+UzfEESRXYnd7atzcgeTUr92n7XRDHkuvoAjF2Swp7MXHfFlHKiUiMiUsH4Wi28NyiGelUCOXAijyc/SsauuY8LFBTbGTY/keM5BTSvFcr0B9qft55Zabx4dys6NaxG7r+uPLPpyjOPplIjIlIBVQv2Y+6QWAJ8Lfyw6zhvrNppdqQKxel08uKKraQcOk14oC9zh8QS7O9zxfvxtVqYNSiGuuEB7Ms6w5iPUlQgPZhKjYhIBdW6bjivP9AegPfX7uXzzekmJ6o45v92kH8mHMZiwLsDOlK/enCZ9xUR4s+c+Dj8fSx8vyOTt1bvcmFSKU8qNSIiFViv9nUZdmMjAP64dDPb0m2XeYX3+23fCV7+bBsA4+9owQ3Nalz1PttGhvNqn5Irz2au2cOXW45e9T6l/KnUiIhUcM/c1oLrm0ZwtsjO0PkJnDpTaHYk0xw5fZaRC5Modjjp1b4uj1/fyGX77t0xkse6NQTg6aWb2JGhAulpVGpERCo4q8X411csQRw+dZaRi5IotjvMjlXu8ovsDJufwIkzhbSuG8Zrfdpd8WDw5Yy/owVdm1Qnr9DO0HmJnM6rvAXSE6nUiIh4gCpBfsyNjyPIz8ove08w7asdZkcqV06nk+eWb2HrERvVgv2YEx9LoJ/V5cfxsVqYOSCGyKqBpJ3M44nFyZWyQHoqlRoREQ/RvHYoM/qVDA7/9ef9LE86bHKi8vPXn/fzSfIRrBaD9wbGEFk1yG3Hqhrsx1+GxBHoa+Wn3VlM/0ZXnnkKlRoREQ9ye5s6PHFTyQJz45dvYfPh0+YGKgc/785i6pfbAXjxrpZc17i624/Zsk4Yb/QtKZBzftzHpylH3H5MuXoqNSIiHmbsLc24uUVNCosd5xaf81aHTuYxanESDic8EBvJH7o0KLdj39WuDiO6Nwbg2Y83s/VIdrkdW8pGpUZExMNYLAZv9e9AoxrBHM3OZ+TCJIq8cO4jr7CYx+clcDqviPaR4bxyXxuXDwZfzlM9m9O9eQ3yi0oK5Ilc7y2Q3kClRkTEA4UF+PKXIXGE+vuw4cBJ/vT5NrMjuZTT6eSPSzezIyOHiBB/ZsfHEuDr+sHgy7FaDN7p35GGEcEll5Mv8s4C6S1UakREPFTjGiG83b8DhgHzfj3Iko1pZkdymfd/2MsXW47iazWYPTiGOuGBpmUJD/RlbnwswX5Wftt3kilfbDcti1yaSo2IiAe7uWUtxt3SDIAXV6SSlHbK5ERXb83OzHNXHE3u1Ya4BtVMTgRNa4Uy48EOAPz9lwMsTThkbiC5KJUaEREPN7JHE25vXZtCu4Ph8xM5Zss3O1KZ7c86w5OLk3E6YWDnaAZ2jjY70jm3ta7N6JubAvDCv26mKRWLSo2IiIezWAze6NeeZrVCyMwpYPiCRAqK7WbHumK5BSWDwTn5xcTVr8qke1qbHekCo29uyq2talFYXFIgM3M8t0B6I5UaEREvEOLvw9z4OMICfEhOO81LK1JxOp1mxyo1h8PJuCUp7MnMpVaYP7MGx+DnU/E+oiwWgxn92tOkZggZtnxGLEiisFiDwxVFxfsTIyIiZdIgIph3B8ZgMWBJwiEWrPecweF3v9/Dqm3H8LNamBMfR83QALMj/a7QgJLB4dAAHxIOnmLSZ6lmR5J/UakREfEiNzarwbO3twBg8spUNuw/aXKiy1uVmsFb3+4C4JXebegQVcXcQKXQqEYIf+7fEcOARevTWLj+oNmRBJUaERGvM/SGRtzTvi7FDicjFiaSfvqs2ZF+1+5jOYxdkgLAQ10a0C8uytxAV6BHi5o83bM5AJNWppJwoOIXSG+nUiMi4mUMw+D1Pu1oVSeMrNxChs1PJL+o4g0OZ58tYuj8RM4U2rm2UTVeuKul2ZGu2IjujbmzbW2K7E6GL0giI1uDw2ZSqRER8UKBflbmxMdSNciXLUeyeX75lgo1OGx3OBn9UTL7s85Qr0og7w2MwdfqeR9JhmEw/YH2tKgdSlZuAcMWVMwCWVl43p8gEREplahqQbw3MAarxWB58hH+tu6A2ZHOmbF6J2t3HifA18Kc+Fiqh/ibHanMgv915Vl4oC+bDp1mwoqtFapAViYqNSIiXqxLkwheuLPka52pX25n3Z4skxPBF5uP8t6avQC81qcdbeqFm5zo6kVXD2LmwI5YDFiWeJh5v2pw2AwqNSIiXu7hrg3oExOJ3eFk1KIkDp3MMy3L9qM2nl66CSgZaL63Qz3Tsrja9U1r8NwdJQXy5c+38eveEyYnqnxUakREvJxhGEzp3Yb2keGcyisZzs0rLC73HKfzChk6P4GzRXaubxrBM7c1L/cM7vbY9Q25r0Nd7A4nIxclcfiUeQWyMlKpERGpBAJ8rcyOjyUixI/tR208s2xzuc59FNsdjFqUzKGTZ4muFsS7Azri44GDwZdjGAav9mlHm3phnDxTcuXZ2UINDpcX7/sTJSIiF1UnPJD3B8fiYzH4fPNR5vy4r9yO/drXO/h5TxZBflbmDomlSpBfuR27vAX4WpkTH0f1YD9S022MX16+BbIyU6kREalErmlQjUm9Sm4U+drXO1i7M9Ptx1yRfIS//LQfgDf7tqdF7TC3H9Ns9aoE8t6gkivPPk1J54N//feLe6nUiIhUMoM6RzOgUxROJzy5uGStGHfZeiSbZz/eDMCoHk24o20dtx2rorm2UXVeursVANO+2s5Pu4+bnMj7qdSIiFQyhmEwqVdrYqKrYMsvZui8BHILXD84nJVbwNB5CRQUO7ipRU3G3trM5ceo6IZcV5++sZE4nDBqUTJpJzQ47E4qNSIilZC/j5XZg2OpGerP7sxcxi1JweFw3dxHkd3ByIVJpGfn0ygimLce7IDVYrhs/57CMAz+dF8b2kdV+ddtIRI444YCKSVUakREKqmaYQHMiY/Fz2ph1bZjzFyzx2X7nvLFdtbvP0mIvw9zh8QSHujrsn17mgBfK3MGx1Ij1J8dGTn8cdkmDQ67iUqNiEgl1jG6Kq/0bgPAjNW7WL3t2FXv858Jh/j7LwcAeOvBDjSpGXrV+/R0tcMDmD04Bl+rwZdbMpi1dq/ZkbySSo2ISCXXLy6KP1xXH4CxS1LYk5lb5n0lp51iwidbS/Z1SzNubVXLJRm9QWz9arx8b0mBfGPVTr7fcfUFUs6nUiMiIky4uxWdGlYjt6BkcNiWX3TF+8i05TN8QSKFdge3ta7FEzc1cUNSzzagUzSDOkfjdMLoxSnsPV72AikXUqkRERF8rRZmDYqhbngA+7LOMOajFOxXMDhcUGxn+IJEjtkKaFozhDf7dcBSCQeDS2PiPa2Jq1+VnH8VyJwyFEi5OJUaEREBICLEnznxcfj7WPh+RyZvrd5V6tdOWrmNpLTThAX48JchcYT4+7gxqWfz87Ewa3AMtcMC2Hv8DGOXbHLplWeVmUqNiIic0zYynFf7tAVg5po9fLnl6GVfs3D9QRZvSMMw4M8DOtIgItjdMT1ezdB/XXnmY+Hb7cd457vdZkfyCio1IiJynt4dI3msW0MAnl66iR0Ztt997sYDJ5m0MhWAZ25rQffmNcslozdoH1WFKfeVDA6/891uvknNMDmR51OpERGRC4y/owXdmkSQV2hn6LxETucVXvCco9ln+b8FSRTZndzVrg7Db2xkQlLP1jcuioe6NABg3JIUdh3LMTeQh1OpERGRC/hYLbw7oCNR1QJJO5nHE4uTKbY7zv0+v8jO8PmJZOUW0LJOGNMfaIdhaDC4LF64qyXXNarOmUI7Q+clkJ2nweGy8phS06BBAwzDOG8bP3682bFERLxW1WA/5sbHEehr5afdWUz/ZicATqeTFz7ZyqbD2VQN8mVufCxBfhoMLitfq4WZAztSr0ogB07k8eRHyVd05Zn8h8eUGoCXX36Zo0ePntsmTJhgdiQREa/Wsk4Yb/RtD8CcH/fxacoR/v7LAT5OOozVYjBzYAxR1YJMTun5qof4Myc+lgBfCz/sOs4bq3aaHckjeVSpCQ0NpXbt2ue2kJAQsyOJiHi9u9rVYUT3xgA8s2wzr3yxHYDn72xJ1yYRZkbzKm3qhfNan3YAvL92L59tSjc5kefxqFLz2muvUb16dTp06MCUKVMoLLxwcO2/FRQUYLPZzttEROTKPdWzOd2b16Cg2IHd4eT+jvV4pGsDs2N5nXs71GPYDSUD188s28y2dH1uXQmPKTWjR4/mo48+Ys2aNYwaNYq3336bESNGXPI106ZNIzw8/NwWFRVVTmlFRLyL1WLwTv+OdG1SnVtb1WLq/W01GOwmz9zeguubRnC2yM7Q+QmcOnPpf8DLfxhOE+9/PmnSJCZPnnzJ52zcuJG4uLgLHv/444954IEHyMrKonr16hd9bUFBAQUFBed+ttlsREVFkZ2dTVhY2NWFFxERcZPTeYX0mrmOtJN5dG1SnX883Akfq8ech3A5m81GeHj4ZT+/TS01WVlZZGVlXfI5DRo0ICAg4ILHjxw5QmRkJL/99hudO3cu1fFK+6aIiIiYbWdGDr1nrSOv0M6j3Rry4t2tzI5kmtJ+fpt6DV5ERAQREWUbMktOTgagTp06rowkIiJSITSvHcqMfu0ZviCJv/68n9Z1w7g/JtLsWBWaR5zL+vXXX3nrrbdISUlh//79/POf/2TYsGH06tWL6Ohos+OJiIi4xe1t6vDETU0AGL98C5sPnzY3UAXnEaXG39+fJUuW0L17d1q1asVLL73E448/zuLFi82OJiIi4lZjb2nGzS1qUljsYNj8RI7nFFz+RZWUqTM15U0zNSIi4ols+UXc99469h0/Q6cG1Vj4eGd8K9HgcGk/vyvPOyIiIuKhwgJ8mRsfR4i/DxsOnORPn28zO1KFpFIjIiLiAZrUDOHtBzsAMO/XgyzZmGZuoApIpUZERMRD3NKqFuNubQbAiytSSUo7ZXKiikWlRkRExIOM6tGE21rXotDuYPj8RDJt+WZHqjBUakRERDyIxWLwZr8ONKsVQmZOAcMWJFJQbDc7VoWgUiMiIuJhQvx9mBsfR1iAD8lpp3lpRSqV6GLm36VSIyIi4oEaRATz7sAYLAYsSTjEgvUaHFapERER8VA3NqvBM7e3AGDyylQ27D9pciJzqdSIiIh4sGE3NOLudnUodjgZsTCR9NNnzY5kGpUaERERD2YYBq8/0I6WdcLIyi1k2PxE8osq5+CwSo2IiIiHC/LzYW58LFWDfNlyJJvnP9lSKQeHVWpERES8QFS1IN4bGIPVYrA86QgfrjtgdqRyp1IjIiLiJbo0ieCFO1sCMOXL7fyyJ8vkROVLpUZERMSLPNy1AffH1MPucDJyURKHTuaZHancqNSIiIh4EcMwmNq7Le0iwzmVV8TQ+YnkFRabHatcqNSIiIh4mQBfK7MHxxIR4sf2ozaeWba5UgwOq9SIiIh4obpVApk1KBYfi8Hnm48y58d9ZkdyO5UaERERL9WpYTUm9moNwGtf72DtzkyTE7mXSo2IiIgXG9w5mv7XROF0wpOLkzmQdcbsSG6jUiMiIuLFDMNg8r2tiYmugi2/mKHzE8gt8M7BYZUaERERL+fvUzI4XDPUn13Hcnnqnyk4HN43OKxSIyIiUgnUDAtgdnwsflYL36QeY+aaPWZHcjmVGhERkUoiJroqr9zXBoAZq3exetsxkxO5lkqNiIhIJdLvmiiGXFcfgLFLUtiTmWtyItdRqREREalkXry7FZ0aViO3oJih8xKw5ReZHcklVGpEREQqGV+rhVmDYqgbHsC+rDOM+cg7BodVakRERCqhiBB/5sTH4e9j4fsdmbz17S6zI101lRoREZFKqm1kOK/2aQvAu9/v4astR01OdHVUakRERCqx3h0jeaxbQwCeWrqJnRk5JicqO5UaERGRSm78HS3o2qQ6eYV2Hp+XwOm8QrMjlYlKjYiISCXnY7Uwc0AMkVUDSTuZxxOLkym2O8yOdcVUakRERISqwX7MjY8j0NfKT7uzmP7NTrMjXTGVGhEREQGgVd0wpvdtB8CcH/fxacoRkxNdGZUaEREROefudnUZ0b0xAM9+vJmtR7JNTlR6KjUiIiJynqd6Nqd78xrkFzkYNj+RE7kFZkcqFZUaEREROY/VYvBO/440jAjmyOmzjFqUTJEHDA6r1IiIiMgFwgN9mRsfS7CflV/3nWDql9vNjnRZKjUiIiJyUU1rhTLjwQ4AfLjuAMsSD5sb6DJUakREROR33da6NqNvbgrA859sYdOh0+YGugSVGhEREbmk0Tc35ZaWtSgsLhkczszJNzvSRanUiIiIyCVZLAZvPdieJjVDyLDlM2JBEoXFFW9wWKVGRERELis0oGRwODTAh4SDp5j8WarZkS6gUiMiIiKl0qhGCH/u3xHDgIXr01i0Ps3sSOdRqREREZFS69GiJk/3bA7AxJVbSTx40uRE/6FSIyIiIldkRPfG3Nm2NkV2J8MXJJGRXTEGhz2q1HzxxRd07tyZwMBAIiIiuP/++82OJCIiUukYhsH0B9rTonYox3MKGLYgkfwiu9mxPKfUfPzxx8THx/Pwww+zadMm1q1bx8CBA82OJSIiUikF+/swNz6O8EBfNh06zUufbsXpdJqayXCanaAUiouLadCgAZMnT+bRRx8t835sNhvh4eFkZ2cTFhbmwoQiIiKV08+7sxjyt/U4nPDyva0Zcl0Dlx+jtJ/fHnGmJikpiSNHjmCxWOjYsSN16tThjjvuIDX10peTFRQUYLPZzttERETEdbo1jeD5O1sC8PJn2/ht3wnTsnhEqdm3bx8AkyZNYsKECXz++edUrVqVG2+8kZMnf3/qetq0aYSHh5/boqKiyiuyiIhIpfFot4bc16EuoQE+mPn9j6mlZtKkSRiGccktISEBh6Nk1cIXXniBPn36EBsby4cffohhGCxduvR39//cc8+RnZ19bjt06FB5/aeJiIhUGoZh8Gqfdnz2RDeua1zdtBw+ph0ZGDVqFP3797/kcxo0aEBOTg4ArVq1Ove4v78/jRo1Ii3t9xf+8ff3x9/f3zVhRURE5HcF+FqJrBpkagZTS01ERAQRERGXfV5sbCz+/v7s3LmTbt26AVBUVMSBAweoX7++u2OKiIiIBzC11JRWWFgYw4cPZ+LEiURFRVG/fn2mT58OQN++fU1OJyIiIhWBR5QagOnTp+Pj40N8fDxnz56lc+fOfP/991StWtXsaCIiIlIBeMQ6Na6idWpEREQ8j1etUyMiIiJyOSo1IiIi4hVUakRERMQrqNSIiIiIV1CpEREREa+gUiMiIiJeQaVGREREvIJKjYiIiHgFlRoRERHxCh5zmwRX+PfiyTabzeQkIiIiUlr//ty+3E0QKlWpycnJASAqKsrkJCIiInKlcnJyCA8P/93fV6p7PzkcDtLT0wkNDcUwDJft12azERUVxaFDh3RPKTfTe10+9D6XD73P5UPvc/lw5/vsdDrJycmhbt26WCy/PzlTqc7UWCwWIiMj3bb/sLAw/Q9TTvRelw+9z+VD73P50PtcPtz1Pl/qDM2/aVBYREREvIJKjYiIiHgFlRoX8Pf3Z+LEifj7+5sdxevpvS4fep/Lh97n8qH3uXxUhPe5Ug0Ki4iIiPfSmRoRERHxCio1IiIi4hVUakRERMQrqNSIiIiIV1CpcYFZs2bRsGFDAgICiI2N5aeffjI7kleZNm0a11xzDaGhodSsWZP77ruPnTt3mh3L602bNg3DMBgzZozZUbzOkSNHGDx4MNWrVycoKIgOHTqQmJhodiyvU1xczIQJE2jYsCGBgYE0atSIl19+GYfDYXY0j/bjjz9yzz33ULduXQzDYMWKFef93ul0MmnSJOrWrUtgYCDdu3cnNTW1XLKp1FylJUuWMGbMGF544QWSk5O5/vrrueOOO0hLSzM7mtf44YcfGDlyJL/99hurV6+muLiYnj17cubMGbOjea2NGzcyd+5c2rVrZ3YUr3Pq1Cm6du2Kr68vX331Fdu2bePNN9+kSpUqZkfzOq+99hqzZ89m5syZbN++nddff53p06fz7rvvmh3No505c4b27dszc+bMi/7+9ddfZ8aMGcycOZONGzdSu3Ztbr311nP3X3Qrp1yVTp06OYcPH37eYy1atHCOHz/epETeLzMz0wk4f/jhB7OjeKWcnBxn06ZNnatXr3beeOONztGjR5sdyas8++yzzm7dupkdo1K46667nI888sh5j91///3OwYMHm5TI+wDOTz755NzPDofDWbt2beerr7567rH8/HxneHi4c/bs2W7PozM1V6GwsJDExER69ux53uM9e/bkl19+MSmV98vOzgagWrVqJifxTiNHjuSuu+7illtuMTuKV1q5ciVxcXH07duXmjVr0rFjR/7yl7+YHcsrdevWje+++45du3YBsGnTJn7++WfuvPNOk5N5r/3795ORkXHe56K/vz833nhjuXwuVqobWrpaVlYWdrudWrVqnfd4rVq1yMjIMCmVd3M6nYwbN45u3brRpk0bs+N4nY8++oikpCQ2btxodhSvtW/fPt5//33GjRvH888/z4YNG3jyySfx9/dnyJAhZsfzKs8++yzZ2dm0aNECq9WK3W5nypQpDBgwwOxoXuvfn30X+1w8ePCg24+vUuMChmGc97PT6bzgMXGNUaNGsXnzZn7++Wezo3idQ4cOMXr0aFatWkVAQIDZcbyWw+EgLi6OqVOnAtCxY0dSU1N5//33VWpcbMmSJSxYsIBFixbRunVrUlJSGDNmDHXr1uUPf/iD2fG8mlmfiyo1VyEiIgKr1XrBWZnMzMwLWqpcvSeeeIKVK1fy448/EhkZaXYcr5OYmEhmZiaxsbHnHrPb7fz444/MnDmTgoICrFariQm9Q506dWjVqtV5j7Vs2ZKPP/7YpETe649//CPjx4+nf//+ALRt25aDBw8ybdo0lRo3qV27NlByxqZOnTrnHi+vz0XN1FwFPz8/YmNjWb169XmPr169mi5dupiUyvs4nU5GjRrF8uXL+f7772nYsKHZkbzSzTffzJYtW0hJSTm3xcXFMWjQIFJSUlRoXKRr164XLEmwa9cu6tevb1Ii75WXl4fFcv7HnNVq1SXdbtSwYUNq16593udiYWEhP/zwQ7l8LupMzVUaN24c8fHxxMXFcd111zF37lzS0tIYPny42dG8xsiRI1m0aBGffvopoaGh586MhYeHExgYaHI67xEaGnrBnFJwcDDVq1fX/JILjR07li5dujB16lT69evHhg0bmDt3LnPnzjU7mte55557mDJlCtHR0bRu3Zrk5GRmzJjBI488YnY0j5abm8uePXvO/bx//35SUlKoVq0a0dHRjBkzhqlTp9K0aVOaNm3K1KlTCQoKYuDAge4P5/brqyqB9957z1m/fn2nn5+fMyYmRpcauxhw0e3DDz80O5rX0yXd7vHZZ58527Rp4/T393e2aNHCOXfuXLMjeSWbzeYcPXq0Mzo62hkQEOBs1KiR84UXXnAWFBSYHc2jrVmz5qJ/J//hD39wOp0ll3VPnDjRWbt2bae/v7/zhhtucG7ZsqVcshlOp9Pp/uokIiIi4l6aqRERERGvoFIjIiIiXkGlRkRERLyCSo2IiIh4BZUaERER8QoqNSIiIuIVVGpERETEK6jUiIiIiFdQqRERERGvoFIjIiIiXkGlRkRERLyC7tItIh6te/futGvXjoCAAD744AP8/PwYPnw4kyZNMjuaiJQznakREY/3j3/8g+DgYNavX8/rr7/Oyy+/zOrVq82OJSLlTHfpFhGP1r17d+x2Oz/99NO5xzp16sRNN93Eq6++amIyESlvOlMjIh6vXbt25/1cp04dMjMzTUojImZRqRERj+fr63vez4Zh4HA4TEojImZRqRERERGvoFIjIiIiXkGlRkRERLyCrn4SERERr6AzNSIiIuIVVGpERETEK6jUiIiIiFdQqRERERGvoFIjIiIiXkGlRkRERLyCSo2IiIh4BZUaERER8QoqNSIiIuIVVGpERETEK6jUiIiIiFf4f3qjrX+Dkab9AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x=[0]\n", "for j in range(10):\n", " n=random.randint(0,1)\n", " if n==1:\n", " x.append(x[j]+1)\n", " else:\n", " x.append(x[j]-1)\n", "\n", "plt.plot(x)\n", "plt.xlabel('n')\n", "plt.ylabel('displacement')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "More walks on one page" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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zjOzcdCEdq+dyRtcK5m3dwPGvrMbnkPU1jY54mnWR1zTTKN9TL7n/MX4s/KiMmUWLFmG1WrnyyitD80455RTeeOMNVqxYwaOPPsqWLVs49thj8Xq9h9zOgw8+SFxcXOgvJ+fH/wVVUFBQ+K4Qg0HEYKQmQpIklr3wdGj6wgUPYYyJJaukjOzSMUe0euu3oWjazOiZQx5+c0qjjZkD2Ui35KZSmpVFRnEJ5tg4psSnou0K93uKO/98jGVlxJ56CsKgnkfrcFDQKmtp9jncBKX/rleTJEn4RYnzdtaw2+Hmij11iJJEucPNZz2RBf122J38vbGTnQMuXm3tjdiGLygy8A20o2ljJpP7l3BBu+DChRHLj1n+BOmeDgD+Wf5n/vjiU2i6AnTuiAXgK88M0i7/R8Q6OSYbp/3yN8QmD3qNbC3QVw//5bX5b/hRGTMvvvgip5xyCpmZ4SI+F154Iaeddhpjxoxh/vz5LFmyhKqqKj799NNDbueuu+7CZrOF/pqbm3+Iw1dQUFA44uzfsIbHLzmTxy85k8Y9O0PzrQc1WswqKePaf7zIeUMykX4KmOLiufmltyPmHahcq1JryBxVErFMlKSQMTM7IQZBEDht7snMXbOdvscejxgr5chZPJkPPUTRhvWY5x4NwJs+OSzV5QuQtWoXjoPEs9+GWyubyVm9i+Dgfb/TF+D6fQ0R6d96lWyc1bt9bB/03Axd/nhjJ7lf7WbbSrlVgzUp/pD7+1SfRkxvzyGXtzy+CmeXDkmE6o/C3cN9di3+Wyu56G+vosseD79rwneBLJrOjfdQMn2IUbnpOXhqAnz5+290Db4PfjTGTGNjI8uWLePaaw9f7yAjI4MRI0ZQXV19yDF6vZ7Y2NiIPwUFBYX/dZzWfj55Iiys/XxIzZXmfWGtzNxL5VC+zmBEo9N9r8fU6fVT7Rw+y+g/xWC2MOt8OWU8MTObE667hYyiUUw69Qy0erkysLeunor6Jv7V3E2fP4hRpWJ8jJFAfz9tt/wiapsurYa+bFkPI+h0qC0WzNOmA+B7911KvC5KGmoweD2sHgxbfVvcQZF3OqIrI3/SbePJxrB8YtHEIsbHGAE4IDne63CzqLOfVX12HqnvIMbpoKBV1gvtTg53s7ZaLLSmpNGWJBcE/NXbLw17LNoRuaHX7ZvjcfdpCXrCqds+pwa1Li5cadkQh270iWBKRgh4ENc9h69t0MCql40qMsZ/84vxHXPEBcAHePnll0lNTeW000477Lje3l6am5vJyMg47DgFBQWF/2+8s+C3EdMuux1JkhAEgabB2iwzz7uYKfPP+UGOR5IkztheTaPHx6YZoxlh/O7qkMw872JmnhdOGb/kvkdDr/3t7dSefTYtcQksWPAYCALT48zoVCrqr78halt9v7udjUsWMbqumqEtL03Tpsnba2ri2VuvAWDJzLlsLvwDp6XEf+tj3mY/tOamdzDzaMnkYibGmpgdH8OuAXfEmBvLw6nj46srUEkSrckpOAw67AYdsR4f7x17Cm+ecg6/a95P5gMLiHPKBseuohLGV1cCEH/hhcSffz4N58np1EGvGpc7HxhST0cE144dWGbPDs8TBMg7CsoXoVr5Bwa+sGO54nL0HYN1f/KO+tbX5LviR+GZEUWRl19+mSuuuAKNJmxfORwO7rjjDjZs2EBDQwOrVq1i/vz5JCcnc/bZZx/BI1ZQUFD4cWHv7qK/PTKUJAYD2Do7kCSJlsEspm9Tdfe/pd7to9Ej93o6d2cNA/9FeOZgPPv3Y/3gQ6RBnYZt8WLa7rmHjr/8hdZ33kXwesnp6mBEh1wFuD8QYF19M5490dlc2ZOnAHKmlzRE92EoHR019pQNq1nXP4AUDNL32mt03Hc//q9JSjnAuiFNK9N1Wm7X+6LGjLXIHplZCeF+SAffqNN6u1nw/BMAbCsZR1ClpiIziZr0FBYdczJ6QeCa00+IWGf0jGnkvvoqcWedRertt2EoKyXxxAkAiH6B7nXhYzOlyppU16bN0ScxxGBJ0v0Vce1LIImQWAixmdHjfyB+FJ6ZZcuW0dTUxNVXR9Y2UKvV7Nmzh9deew2r1UpGRgbz5s3jnXfeISYm5hBbU1BQUPj/x9CU65S8AnQGA62V5TSX7yEYDOC09qPWaiOygb5vhuo8Wjx+7tjfzD/L8r6Tbbfedju+2lo0KckIWi1tv7lz2HET95fTmJHNrgE3T65excG1iOPOOouU4hJUag2O3h6sne0kDDZfFNRq9EVFeA+SNdhra2ndu4GBRx4BwL1zJ/nvv/e1x3zgejw6KoeTJRev3PZbThw9hS/nngVAkUmPZlAvMyPOjF4l4Bcl7sxP56H6jtB2Hn3yftSDGVbbS8aQ2SyiFptYNn0aLqOJ2XFmYhITEYxGJLfs3SmcezTm6dMwT58W2k7aTAHXVh+evnCoMf/kLjx9WlxdelybNkWfRN6ciElj86DuKH9O9NgfkB+FMXPiiSdGWMMHMBqNfPHFF0fgiBQUFBR+OrRU7OXzZ+SbilZv4Ozf/pHdS5fQWlnOl/98KjQus3j0966RaXR7ebCundvy0kMp0Qf4qMvKP8uGX6/v1VfpfPAhADIeeID4cw7tffd3duKrlavcOtetR9AfOnx1VF0li46R682MH2xPgEpF3rvv4t62lfjzzkOlN5BRNIrWyn2se+d1NFotybl5OPr7mPXcs9Qed3zENifsL6d731YO9O327N07bMfoL3tsXLevgfPTElkwMjMk5p0Vb6FlnWwojKvYhqhS0ZuQytOXXBha16JR8/rYAtyiyAlJsSRqNSytrKJjfwVZ3Z2hcbuKRiNOn0q3KNLslLc/e9Crk//B+/S9+hqmyZOwHCWHi9x7e/BU9xN/Wj5C4zq0ZgHPEBmP/roXUTnUsPlO3Hv3IjqdqMxDmoGmluAqeghT9e8izrV+oJT8Q74L3z8/CmNGQUFBQeE/550F4RvLGbfdRUxiMjll49j44TsR43JKxx686nfOdXsb2O1ws83uwidGV8zt9wdI0EbeegJ9fSFDBqD97ruJPf00VIcwvFybw+EP55bNqC2H9tSP2V+OIIpIKhUTB7ttZz3xOMYxZRjHhC2rnLJxtFbuY//6ryLWzy0bR+5rr9J0+RWheROr9iG2RYb0vDU1GIoj09svH6wb83p7LxISfkkiU68lz6jj00FBtoDExH3y+YgzJ0LS9ND6cxLD53VRoonufz1A/BAxtaNoFNbYONYEANRgjANg9mCDTH1BARl/XhAaL0kSva9XAKDTN2D2WEksjWdgMOE37swzEcrOQgdos57E39qKa/t2LHMivS6OgVmogpMxqLeF5q1am0TKKV4sCUemP9OPQjOjoKCgoHB4uhrqePFX17F/w9rQPEkUee++yHTYzJJSQK6EezDfhTHjDAQ5Y3s1v69uGXb5bocc1mj2+Oj0BdCrBNZPH41hMHwyeu1eWj1hrYi/tZXqWbOjtuPZvTtqXugYhoQ/vOUVIeOm/9d3RIxz6/To7Tby2ltIdwyQP1i+3zR1atQ2h16b/thEXrrgl+wcPZWFD/+Z/hgT+YsWkv3sMwDM3LMd02C6szNWNiD2roo0gprckbXQ3miX3R8HOnEPV4n5o7/eS/3ObVHzndZ+/n7lBQAkDV5fh0FHzLPPRo01qgQmxJqi5ou+IO0PhK9bYKvcOkgozmbg3gx8d5fQcWYDvQMOzvjHWqoz8wDoWvlm1HZ8zQP0+n8TMd8lJlKzaPiqwT8EijGjoKCg8BNg19LPsHa0s+2zRXhdLgJ+P91NDTQNqSVTMnsuOoMsINXq9JTNPS60zByfQHrRf6eXkSSJ19p62Wxz8kJLD/aDBL1DjZQDFBr1FJj0XJieGJr3aENY/9H15JPD7su5OVJ8Kvp8BHp6CPT04Fz91bDrPDVtLvfceDsAD192A3sHu3JPqCrnJZ9cdK42KxdPTHS5jswhxt++URPpTUxlywTZyHr3L3ejKSyUM3sMBvR+PwC7Rpbw5ryTAdgxWPOl3x8gIIp80m1jOGYlWOhrbQn1kdIZjRHLP3zwTzit/aE/SRTZvPBdNIEgKlEkdTAjKu7CCxmVFd1aYZTZOGxDTE9FH+KAf3DKh96/HgBv21QcCa30ZO+m37OFDzYtZXeLjYWSrBsaWB/Zs8rXaEcKBEGnwTHhBQJ+Fev7LwHA6vRzpFDCTAoKCgo/AZrL9wLQXlXJM9deTE7ZOAomTgktj0/L4NRbbo9Y56Sf38oJ18s1VVQqVZSm49vyTkcff64Nh1c2WR2ckBwXmh4q+D1AkVlWloyLMQGyQVE/xGvhb2wKvTYt+DMxAT+d990nZ9LcFG522HLzLTjXrInYdktKOtndsmHUExfPKqsDxk9h7ecr+Ly+k0S7lakVe5hQVU6G2osV2FlcitHm5LikSINmqJaoKVNWf1jjkhkwxxLjtPPx3+7jnLv+jHnSRJzrN8DgtnYUy6GqsVXlrOu1cd7ueo5KsLBmMHPpnNR4PuyyhrY9M9ZE81q5cm/umPGce89fcNls/PPGy0NjnrvhstDroy66HP2ixRy/vyHC+zDi/AsQBIFErZo+f9ioLDIPH+bxNYf1Sym6P6BX7QPAK44ja8coWib/DYCV+3YC09ieKBu+2iYBr7UdfbxcDsVbZ8NXsRhf1afY3wWRTEy67UyaeyZTL/rhxOUHo3hmFBQUFH7kOPp66bbaEDVaApY4gkGRxt07IkJO82+7K8pYEQQBtUaDWqP5rw2ZZo+PWysjq6mvszrwBEUWdvazvNceSj0us8gGTIxaxR8L5Sf8s9LiydLLLQJ2Dbhx7K9i99btuCrl2ietyamsnz4b8yy5sqx7507EwbY1gf7+KENGFAR+//Ow8fb7G8MhpmVWWQi7s1gOuR29cwvWt+SqwTuKS3morp1Or59lvXYCg52pa10exvzmzzgmH0VrRl5oWwcMm/qd23AP2DFNC2tadowqo2pEPm69njingzs/W4UEIUMGYFJLFRP3ysbLuIqtGDtaaNwqh3tySseiUqmxJCQy6ZQzhr3ua996lYT9tVE3a11hIQCvjytgnMXI5ZlJTIszc3dBBpJfxF3ZhxQMJ9Z4a61ohWp0wr6QIQPglwow945B7YtBkqCyrwiAHlM83TGxCKJA+7/fpOurtXgbbLIxUxWuwK9CRO+zk2qtRJ1k4EiheGYUFBQUfuSsW7kc94jwU6+upx19dyttVbKY85L7HyU1r+B7278kSczbXBk1f73VwYLaNl5pjSyXf3dBZpTnw6xWs2VmKWPW7cVrH6D5+gvRDi7ri43j0r88wXnuABeNzkedkkywuwf3rl2Yp03DtWVL1L7XjZtMY0Y28559K2rZgQq9R8+eDo9rIBAILdtdNJoBh5vx6+Ub+h156fxqRBqzN1UCaph6csS2WnJGUla9S35dsZeswdRmQaejYNoUdlld7C4sYXr5LiZUlVObPSJi/e7XnuX4gJ/j134CQFN2Ak3bt4BGTXpiuCP2vCuvp3rzBgZ6uyPWj3VHh+60ubmhZsyTYs18OTXSI2L7vIGBVc3EnpxH7DE5iC4/UmcV6fpfR4wLSnHyOQPGvlHUxjbQ700ILd+WWMLJA5sJfNGEr3Ua3exGdA7fGkF0lEc0iP6hUTwzCgoKCj8Cluxp5+Nd4RCO1eXjsaVVVO6vZdNBxct8yeEK6DqjkbT8kd/rsTV6fDiC4cyk3+bLWo29A+4oQ0YtwPQ4MwdjXbQI58pVzIy3MLYm0jDaWVQKgsD7nf1cvKuOXUWyR6Xp8iuoXvUVrb/8VWiszWxhw5iJ/O3S65ibEMOMODMTY0xcl5WM5qB76azkeARN5DP7gNkSMf23hg6u2xfZrXoou4sn8u5pV/LBKZeydPdevtqwCttRM0j58wIeGFPAVVnJBCZNAmRtzlCKaveys2w6oiBgHNTp7HjnDXwaNeqgiPvOuwharaHx5/3+XtIKijDFxWNJSETnDzCjtjXqmHKf/9chj3dVn52qHe0AeCpl0bG33oZB2Bo1tjw9XEAxbmcpnQ2nA5Cg72ciasYky+9DsGd/aFywp2rY/fb3RguXf0gUY0ZBQUHhCNPn9HHzm9v51ds7aLPK2Sr/WFHDU8uruePpj5E00U50aTBslFVShkqtjlr+XTK0cu3seAu/zkun0KgnOvEaxseYsGgij8dbV0/77+6i9Ve/4ii9ion790Us31kcrrS7qn+AL/LCKc6BG8PtB/503a2c9bfnufvmO7FbYknTadhoc7JjwEWd20fsQfudHmcm6eqrQtNx55wTZfAAfN5jj5r3h8JwNdvGnJHUjSjhL4XT2Ld6OesGutnYXEOCVsODxdnEz5BDT+OqKxCGpKNXF45h9cyT2VU6NdRLyhGQPS0JLg8MDNB29z2h8YmZ2Vz64OP8/F+vc8NzrzHHEUQjRtZgy335JXQjIr0/B/CJIjduqSHDJnuifE0DiL4g3lobOlVFxNj6XQl0jaqgdYxch8joKGFfdTIAczI383fMjEqW3xfR2oTkl0N3gUHDpqUosnt5TJeLjqZD90z8vlGMGQUFBYUjzKa6XkQJJAk21ski2XW18v9eTRz67jY01kgPiKNoApJK/bXtCSRJYtmyZSxYsICvvho+C+hwrOi1c/t+WSuTY9Dxr8EKvkPL7Q8lXaeNmufaJGtGJL+fGQ01UR6MncVlB02XDrvtoUaPCni3sz80vbzPHhLC/mpEGosnFRGn1ZB8002kL/gTqb/5Dem/v4dV06JT1g/mmqxkbspJGXaZyyCnPVeuWw1AucPNL7HgNBiJdTm55+Wnuf31f6EaYtR455zMyMRU6rOLWXjSJbgMJhIPpFivWBG9k0H0TeH0d/Nvbif7macxz5x5yPG7BtxM7huSYSZKdNT0463tR6+KTAXvT5ENZHWGbACqYzNZYBzDWmK5s/58AFTGBARzKiCxubcCSZJCXpoe42Q2Tv0990+/msYYudv2P5+JrGv0Q6IYMwoKCgpHmAMGDMCG2l76nT4q2mVvQamnFq29D2N7g2ztHEClwpeWTeHkaRwOq9XK2rWyUHjFihW4XK5vdWyX7K4LvX68JIcknXwTPFCYDeSb/5mp8aiAW0akRm3DOSRMFr9mNSNbwg0Ta7NyKCgp5r6irNC8ltR0mlIjmwnvKC7FbgnrcIbzCgEcFW/hroIMpg6GugSNhoSLLiLpmqtRmUyMNBl4siT3EGtDll7LgpFZCILAnwqjew01Z4br3PrcLn62uw5RrWbPYJuI47au5/R1K5lUuTd8PkYLzZddzvunX05Nfilrpp0QqhcDssD5YPwd4fR1v1ZD1uWXE3PssYc8boB1/QORxgywcX0TUlclaiGcKu5o0+Mukl1UiQWzUccfutCdJkU+r4ruCupdnUjuPiSVgDWugL4kM2szStmdLIuRU6uGD0H9ECgCYAUFhZ8sNTU1vP7666Hpm2++mZQU+YnaarXyxBNPAHDqqacybVrkTd/tdvPiiy+i0+loG6zmeu655zJ27PdTJddls/LWH3/DiHGT0Bx1Lr96eydFqRa2NkbeyDbW97KpPlxfPs0XFoTGVG7DmJhMV2ouCCpSS8fT3VjPW7+/g/m33U3uGNlL4/F4eOKJJ/B4PJhMkQXUGhsbGT06uoHicNj8gYjpybFhLcysIcbM7AQLcxNjuLsgI6oztiRJERV7rQsXoZIkpBEjSHzhBcbp9LyYlIhZrWJWvIUOr4+r9zZw851/YfEd14XW+/2NtzMjzsw/y/JC4t0DJKGid9C8OZTHaCgXpCcwMdbEJ91WHhnsebRuegmxGjUCAtrBAn835KRwdGIMkiTxiyUrqEjJpiV7EuP65uJzfMQLv7qe9ovlLKodxWXM2LsztI+yuiq2lo7jjn//izF1+9mfU0SytY+n/raA1ROnc86jrzD/q6Vct+htzv1oOU9dOD/i2h24Zl0JiVx394O84w4wUSunj7vsPl6+M5zJNu/SEpbnqNn2YS0zqrx8AkhagVTgqNrdpOllzZE9YGDvWCM5iecRHLcSRCsJCTOwGVVorNHXyZ2i5fnkPK5qWMPk7lraNNmkAK2xeYhqPfskNeDns7zpbEwv49JbTo7eyA+E4plRUPgfxRUUqXJ66PQeuUJW3xRbVwfBwLc/zrfeisxkee+99/D7/XR3d/Pxxx+H5n/22Wc4HA66u7vx+WTNQnl5OT09PSFDBuCDDz74RvsN2n34u1xI/q/vAi1JEvXdA6x44zWaehxsWfolV768BZvbH2XIqAVo7nPz9xWy9sAoeYn39EaMcff1oHY7QQzS09bCJ088jMfp4L1778bncSNJElvWrMZrtwJEeWJ27dqF33/4a22z2fD5fKxqbA15gy7PTMKoDt8yUvVaTkuJo8ikZ05CDGa1OsqQ8Xd2MvDFlwT7+uCArmdw35YpU0jPySY3LQWLRo0gCBSbDLzS2otHlHCYLdx/7S9x6Q3c8cu78BhN3Ben5dXmyA7Vv8tK5cTu8Psw1GN0KIL9Xor0Oi7LTCLHIP8vNBlI0WlJ1oWf8VWCQJnFyJgYE9eWyiLrqsIiemJNBMwTKI9JDo1tT4iP2Mfpa5eR39fDaetXMqKjjdrsXM5b/hkZvd1ctOwTCloaue2tl4hxu7jirVd4rCHcb8nhcNK16CMAVkyehd0Sy+2Vcj0eSZTYuKg2Yl8rX6/kvQ2NzKiSU9mDgOiX6PBLxGn+ERrXNVKFO0VN1ZiF+EUrKpWBuNhxPCFEVis+gG5gLcuSZE/UCHsbuR1yVpnXkofG76JZLV93SVCBVsWp+dFF/H4oFM+MgsL/KLdWNvHxYLGuLTNLyTF8vw0G/1Pqd27jwwf/xKRTz2TeFdd9/QqDiKJIMBhpTHR1dXH//fcPO/5vf5OLgo0cOZJLL72U1tboLBEAv9+PVhut+zhAoM9DxyPyj7pxfApJFx9eg7FwRyu3vbsLKIScwsOOTXF30GFIZ1+bHQ1BLtJsQe2PvtEcN3Uy6774DNWANWL+x48+QNG0mWx+4RksgDurgECsXHl38uTJbNu2jcrKSj7++GPOPffcYY+hra2N559/PtT8d0J+KWNnzOSRUTlRY18cc+jWgt7qaurmh2un7EgsoBQH+m4502ZVTzfnOp2YhzQxfLShgy97w2LcZZNnsmxyWCNyfFPk+Z7ZL3HeF7WsTNXwVooRgygxcZhS/kPxVPfT8+JeLLMySTmjkC0zh9fnHMwpo0Zye/deHHoVz50aD8wc/IPc1jpmbFkSMT7ZZuOle34Rmj51w/KI5S/eH+6nldbfQ5Mn/D4vv+mXFG+WK/TuHCUfX8tgdeUdS5uoWN8edXwXroouWAigEsKePVtc5Oc6Lm4SKpWeLS4PRyGHvR5Y908mdsvGtPnoOYw2jsVpSsPs6iTBJs8vbFlJWl8ljx93GyBwav1GzqhfR9uVKyn4+KNhj+P7RvHMKCj8j7Hd5mR9vyNkyAAs6oyOyf9YqNq4NvRfkqSvGS0jSRKrV6/+j/ZXU1ODx+OhoaFh2OUNFbXYVzXjqQpfM3d5L/aVTdiXN9H1zM7w/F3d2Jc34WseYEVlJw09Tty+IAt3tOAZ9NrIhszXc2rnEjK8HQdOkEmufWjs8jGIWj192nD9j9qtm6IMGYDG3TtY9sIzoWljax2C14PG1sv0KZND8/fs2UMgEKCuro61a9fS1xcOa61fvz7ifZhRX85YWw+9vZEeIoDOzk7q6+W05lX7u6jrDt9Q+w/ymu1JKqA8LZxC3pqQQF1dXcSYxxs7+TbcvFMu7T+rJ8BJ7X5u2e/Fv6P7sOu498hCatfu7sN+3vwdTjw1VgA8Vf3E9EfXezlAdnsDCALiicdjPvrob3UOAIl2G/Ut7Vi376DtpZdChgzAnkJZs2IPinR6/WxYWDvsNgYMAhXZWiQgVVPNRPOHzIp5BZ1KPoct8aNp7J+FJMoesgZbDp83nMBDSyppHcygO3ZUCrOnyplkulg/hq7POFesxqNPjNqfxdXOKZ1f8YfuV5jeI4f9zLOje2z9UCieGQWF/yGs/gCnbo9Oj9wzRGz4Y+NAwz1HXy/WjjYSMrK+Zg35ZnzAmDngaVmwYMGwY6dPn86mIY0JAfbu3RtxAwcYO3Yse/bsoeKjrRidcupryk3jEV0Bel+LzL4Zin1pI8uX1vJrXMQYNJw6JoN3tjazub6fP5/+9Zkzowb2c2JPOKNlR9wEJtp3Mb1vQ2ieLS6LN2JO4pnTsqj4x+/pahj+hjYcljpZiLrhjZcj5u/cuZNPPpELua1Zs4a77rpL3pctuqdQ3Wcf8ZxWyz33hNOIRVHk2cFGh8eecxlXvllJQYqZFbcfA4CvoTFiG/uS8unxDzARsMXF4jUYaGhoCGmU2r2HNhaG45Mnnidx9EUA6EW4f7fcTbq/qQpNggF9Qdyw63nr5PMTHX4C3W60qdGeHEmU6H5pL+KAj4Rziuj/QP5OTRxnYEdGtNcuq0M+1+CyFYjjxqEvHY23vCJq3OEYtb+c1U8uorgl8rpN2r+PzsRkqnPzWdUZ+d6cHqdhozNIT0Dik6lmajJ1/GpTN7d47owYV24uYM3Az9FX5uCzf0Zs6afcu+lAo0j5s1SYYualq6YB05AeeQjhviQATulbQEP/8Jld129eHDEdf8H53+qcv0sUz4yCwv8AflHiwbr2Qz7Zru93fGOvxw+JvacLW2c4a2O4TsIHcDqdLFmyhIqKCj788MPQ/MzMTJ5bXUvpMWdGjB8xYgSXX345+fnRoZADN/H09HSOO+44rrnmmtC4Zn8X6zSVvK1fx+sfvEXX9sao9Q9mNbIOZMAT4J2tchrzW5ubeHhhdKGyA5zR8QlTrNs4pjdcpn9EsJMLVZuYaY9cTxg1C4Cddh3m+ISIZX5LPK6coq89xpotG7juunAYb9WqVaHXXq8Xh8PB2rVraW5uHmZtOfz26aefhj5HHUOybVZ8+G/maGtp6rbT3OdC8vlw7dgBgE+rYX1uPk2xiSxPH0f90cewrawEbW8H27ZuZd++fbjdbt7/5DMSnHKI6foPIzs1X7pkYcT0n958k/RBQyaEAD4CbNRUs/mFZXz42Ovs2b6bZ555htWrV8tpxTYvgZ6wYd/52Db63tmP6I0MV/o7nIh2H0hgWxIuqHfOFidjGiPDftfGxnH96adzdN4otKKIe+dOhIMaWe4qjhSfG8+9BMOYMQgnn0zDYGr9gheejDJkrr37QUrrqkOp7M9XhcNLxnwjakFgiklNqh5O873LyT1rMMVHV2ru0KShb5XDhL2Vp/Lquj9HjcmIM4IkIa59EvH+tNB8Z/uhM52Goo/zo/ce2uj/vlGMGQWF/wFebu3mycZO/tkc6WK/vygLo0qgxx+gyjW8yO9I0rxvz2Gnh/LRRx+xadMm3nknspaFGJvBQ0sqWbCik2PmyamrY8aM4aqrrqKgoIARQwqMnX766RHrFhQUMGfOHHJycsjLywOgW2WnQtOKQ/DQbGtnce2qYY8nbn64fUDtIRKFX9zRN+z80zs+ZYS7mZn9m9FJsiGUXToGb0EZRq0QUaMEYOL0qQBsqOsjuzScbeXOKsCTM5KgJY5jrw/rM/yxiRhTo8WYFq2GU089FQCHI1JjsWnTJpYtWzbs8R5gy5YtVA2m3x4cpitU9zFV08zGul7ce/Ygud14NSqWjc7FmqDi7M5PEFUqtmRn4Xb1YehqQeVx8d5777FmzRp69+xkRt0+Lly6mAuXfUJSXy9IEnqvlwuWfcot774CwKxdW5mfND/q2BLOLWazpoa9miaW6/aw217DBx9/SFdXFytXrqS6ujrklRmKa0dXhMECRIwTXXJGV0CS8LtFzt7o5FGPrPOJdQXJeL6esfNOIKkqvA3PQZ7A8VWb0WTIqeY1BWdiP/4q8t9/j5InHmfSzKnDXuuHL7uB2pw8ZuzbETJm6gbF01sL9ZQMGmAPjzWSkVbNXY3P84/K+0lhR9S29gbnREwf3ZkMBz3bXDI9F5o3o1r2R9RSOIvN3fvNtHamNC907//6gd8TSphJQeF/gE0257Dz5yXG8nmPjTX9Du6obGaLXR43NyGG18blo/8vmw/+p7RVVbDy1ecJDDYSzCgaRXv1firXrSYuNY2jLro8ap2qYWpYXHzxxXzRIp+DyxfEnFPKRRelRnhjjEYjN954I4IgYDKZQl4ZIMLQMfWrMEt6nAdldvQE5RtbzHG5aOLkp1RdXiyaFCOaeANd61sor42uIDuUkzUNnHneGYzPS+bvv/8jye6miOXe5EwCBWWItbUgivgSUtD3hj0fs0qygEr2tNp41i5woNrIx+ppnEqN/HrlVxzI4wmaYugecyKWZc9H7OeFX1zDWX96WDYS2htBEPCm54IgsGawkaPG2kPprp3EeoM8dcXPmdRSjalpP2qPC3dGHi0tLazb30bT9rBmSR0IMG/lSi7s7aNq15c0VsvvVZ/ZCIP9eixBJ4k4Udl7EQa9O2rXAKLRzNatsicqw9ZLfm0VX809mjvffwlu/w39azcS0Gk5e9WXZLuclJXvw3fc/SzWbaNf5eDMY06lrKgUXZaFtmU28Az/HpS/th5TQBZg63Jj8DWFu0g7N7bj3Ch7PVJ+Pj7CmAkQZIV2L+ZALBLZCLp+BsoruMKaT5xDDlG52ntw1DTRUHAWRXWLht1//Pnn0epKpKk6GU1VP+PmZQOQcP759L3wYsTYV089h+M3raGsroqr//BXijuamL9zLctKp2A3CtzYHiBLp6LD2M7NPU+h1fvAB5agm/ndshB5oNNAvWsq9XHHouoYH3U85zp1GCxaSs7MIzfJzNziFBqWvkbekDGSCK4u2ZhpyJ1DX8IkdpkMjPFKTN3+SMT2TMk+yP/2eqHvCsUzo6DwP8CegWhNzPgYI/lGXShV9YAhA3IjvhW9h78Bf5988MCf6KipoqdZdqtPOzMca9+08F08B3kN3O7o8ysqKmLUqFFsqA0LUzfW91NSUoJeH+kaT09PJy0tjZiYmAgD5oA3BqDnxT1kiJEhnAM4E0TiThiBeVo65mnpaFNNCIKAsSyJ+ikpHJygrZIi51x61jxOmZBDZryR66+5EIAZ517MhJNOB7UGX0om1bWDOhi1Gl9qNtKgETDvyhtIjzOgG0yLbjDl4hV0NBuy6FInsCcge2AkjZaAKQZJpcZnjuONWph3259DxsQBdn70LmYV6Gw96KzdnHbC8RHLTW31jG7vJavPyqxNa9A7rKg9cnq3sb2BhoaGCEMGIL++nqRe2QtVXB02OnstxohxkwI1qF1hI0Iz+PpAurwuGMCbFENnejr1o4rQ7N+H1dpPw/HHo9JouODWm0jMGss+dTP9Kvkz8tGqz9BlWQgEAriDh/Y+dgwKYQFi5mYjGIZ/lu95cU+EMdOk6qFJ3UOlrgEJka7EPXQMdJNk2E+cW/agNSzdSVP2sWiCw1tSgk5H/Nlnk37OKSCoaKuyIg22KZBycthcGq7ibLXEsKl0PJOryvnXhVcCMKWxkixbD8WdzTSmakka7MmgNf2D8bY9lA6EPSIxQfm9Wmyfg9ueTYtvAgLRPRwKAmoyrSInZSYyt1jWxNSVR3rmPm24FTGgQtJoqMu/AGtCMSP0uQzEjqA9fUboMyoYJFQj0yBjwrDn/0OgeGYUFL4nKhxuTt1WxfU5qdxVkHHYsZ91W7lmbwMFRj2tXh+fTS6m9KAbwcFcuaeOnXY3/x6XT5MnUjy5/6gxaFQCgiAwOyEG6jui1t9md3FKSvy3Pq//FkkU8bnDtU9UajW5YyOfHJ++5iKueeoF4tPS6evr46mnnopYLggCF1xwAR5/kO1N4ayjjfW9/AJZP2L9rA7nxnZSb5pA39v7QQWpt0zk0ksvxeVyodfr8axs59erq0G/l1SdDZ00/E9id6KbUcPMX17RyTXvyG79U9ByE3pWdizkpJST+ZtaYCmyu36clEDLXWvQJBrQOfxc99ALWEak4O91Y2zK4MthQgOOkslcd+FlZJbI4ay8ZBNVnQ6cGguv5lxKQJCzUrrEcF0Vd04RSCK9Qiw+n4ZzFnbw0b3PYLG3seiRewHoaWogMacA64Hr75Bv3IGgxKfOIjJjkziZZxCA/NoGlo8cyyhAaz4dlSaT/mVvYBa8CJKEPzaRlxLO4hc9wwuSey1GnPmlGDoaUbudjG7eELFc73PjlqQIg6snNVxBuKZG9jp1JiVS9NVq/G0idWXHsE0bGc44lPgbQC9p8AoBugQbAYJoUKMvjCfjrqmI7gAL//YGVeo2zvBNYYluBy7BJ3voDLJhJAyGYyRBpCc9XKjO5bdRmqfGvXkzwgMvMVzSvWbMBAJ7d2KePRttRgYpQRFHQjU92m4aqgpRpRp5+tnnkCaNp7UoD58qGYtzDM+MGkn+iuWc949q9ME+MLroiolnb1Y+Rc71NHg+51g2ke0MDLNX6NImcFHRUnYfdSe9SwTU+p2IKg9zl3zKgDENa9YJTNr1pPwerQLL6/9m7YKbyamxU2NJ5dFLY9jY8RuOc26jEHAnpIMQ6fuoLL6YtpFH80i8CYPk46rJY/m5+siZFIpnRkHhO8YvSuwacPFAXTtuUeLJxk6aPT7qXF56fcP/+Fy9twEJqHV78YgSP9tdhzMYxB0U2TsQXX6+xxfg8x47HT4/pw9mL8VqVIww6PjrqGzitBrMg0XKxscMbxS93d5H1xEoqNfd1BAxrTOZ0RmMnHH73RHzty6WRb7r14fTVM1mM7GxsZx41oVsb7bzxeYK4oI29INPqlsb+qnZ2Undrk4cX7Ui+UTWPrEFR4cDf5sTf5sDu1ek369Br9fTvaqJtZKDVOQbuk8IEKeNLrrWLA2f7nvj63KnYIvgYTxBElAxL30OZrWZmzGQh4pT1W3YP6gBCQK9HkRvgPZ1jQSDIr4KK+2B6JTnA5Rvr6C9vR1Jkvjr6eH+RV61nqBKvnG0iXFI4uB7rFKBWkOHGBMa+8TadkaMnUhcmuzBcfT14m0IZ7x1VlcyKzMTX6ebfl0C+5ILaLXIT+r51m7M/gFc6nhU2iIElQW1JhdVMIAgBtFZuwlKAqN7o0XS3TFGnHotosGEPyba46XWagn6fGhtcqp0YJiQ5wGxsc1mY29jI3tfX8c67eF1GRqNhtjYWApScokRjcz3TcEs6REFiU6VDfPMDFwBD1anHSFGyz5NM34hyAf6TbgE+aFgaKhRGqYx5QG0y15iTPlLUfMdpnR6EseQeedtALh37EASRUQxiEffiaQKsGrFFt5euxGT34s54MNnNILeiVpys+ytWj7f2EFWv49Yn1wkcO3IcQRVGvxuOF5Yh0oY/rcEQESFCujc9gaxHid+nY2gxos/VkdBT3nIkDlAwy9vJadG9tT6HRpaq88m0efk5AZZ+9MaOz1qH5JKg02TjVttoUubyPL6I+fpBcUzo6DwnfPX+naeaoqsUjp1gyzgG2Mxsmxq5DN+QIzOMmr3+vldVQtmtZpXWnv4V1keZ6TGh5ZvsIbDMN7B9a/ITOaeYXrJ6FQqNAIEJJiXGMNfR+UwZUM5Pf4AczdXsu+oMaiEw/xif8ccLPLNLpGLghVNm8Vx19zE8hflOinWTlnD0D+kb83cuXNJGDGaEx7/ijzVZo7R1XGqHpxJJay0JdHj8HH821uxAO8TwzYC3IObs9ByB0a8tTZ+tqOOmi4HX1wxjT0ESVZF/gjb/NHFx6rb6xBFEdWQG64oSviDEiZ8nK3bS28QpMA8EpA9C8moeB0LBCPTs+tUXays2cv0ZX1M7cylTXXoGkDrqreyrnor8+fPJ2uVxFrCWTL64gTur2pjEX5e9Y3hntEZtNbLVY97xXAhug67F41Ox7VPvcALv7wWW2cHbps1tNyxZg1jd1chlZ4Kg+VEdicXku3oxifoWZx+OmbRx3WDl0WlyUH0hdOOi231ZDu6kQSBXrOB5MEyAFsKMgmYYjBmFnHKicez9MmHIs7NP7IUVcUuDO2NiGote0omMbY1su7MUBYtWgQHJdYU1tRQO3JkxLzp06dzwgknAGBdXItjXRsZYgI16g4cx1mIP7aQf/zjH9jt9kMWDvym+HTRgmKAzVN/j96i5agJ4xGMRoJWK97qGtp1WqRBsXh/SxMee3SmkC1pNwC9u0Efm4JpsKeSS2dAEwxQZB8+u65Rn4rF30OSKJLotwIwqj+dPUOOsSs1lcz26IJ7Ql+kQa0uzqR8zERs5YvIcvbQH1+EQBCzpgVHYASC4CVG1Y89mE5h8iIqe89iW2MfDq8Hi97wNVft+0HxzCgofMccbMgMZa/DHarkCSBKEvdUtww79r2Ofl5plZ9ar9/XwN4BFy+1dGP1B1hnjb7hzj5MT5qPJxUxPyWex0pyyB5SCbg/EKT8O6hBY+3sYM+KL2mrqmDFK/9kxSv/pHV/ZJ0NW1cnu5d/QdNg/5rCKdMpnjmH46+9OTRmzLwTSB8pF+1qq6pk1acfUzuoJUlKTaewrJD7Vz0Pgo/p2rCI1txbyWRT2APlAB72t7NtYBcZnnZqXTWswc8ta6qo7BggIEosXlfNTk01R+siM1mGQ5SkUPZOVVUVjY2NlLdZKVZ3UajuQS1I+DUSX2h3Uq+S3/96VSc9gmwoeYNuqu3bCYh+GtTy8vLte9hVvYdelawb0fbJ83VdrRiCkT/NixcvJtAdfp/iTs0n8cJRzBghWx/jU/bwdtt6UkdOgdR2fGY9x5XIRlVVh50Bj+yBSxsTwJgU1nWotVqya+Sb44FmgQB/n3AeNam5bE4bTUClwaYx8ZUhgISESiOn+Kp1pWiMc7nUJ18XT0I8O3NTaYu3sGHQqG5OL2PesceRM3kavuSwof1J6smsig9Pm1pq2C8ksntQ/zNhwoTQMkFSD/uenDhxIhltkTfmwsJCjh5StC72hBGYJqRQNFP2ajU0NNDd3U1vby9+v58Vh+lYfTiyAwnkNjTSnxgTtaz52F+it2g589aJ7N2/H1WZbKw3/+IXNFaEvxN2XS+Sp42alEx6LJE1cfpMMVSl5uAxdtNv8OHW6nAYTKTb+igkMnV+rymXpQljeL0gmedT41htNKAbVHG1+sbg11lDY7uGhPCGozMtlcbsbLaUjkcAtkyajNtgwBaXhDOmltjEL+g11XN+4t1k6eT6RTnOVEq0TWglgQ/3bP/G1/C7RvHMKCh8h3T7vj5ss97q4IJ0+Sb077ZeXm07dJhhKMdvlYWVK/sGaHRHFxg70CV4OCbFmnl+THj50QkWvup3hI5nTMzhS8B/He/86U4c/ZFpyDuWLOZXry9EM9ga4N2/3I29O1wHZ/rZF5AxMtJLpdFqueTev/HMdT/D5fGyaov84xiUBJ5sycG6+xm2ed5FlzwPtT2ykFdZl5MvhkwXtr2LUfRy3uD0I1kx9DvClUw7m9ej14TFqFv82UzVhg1LjUZDampqqHfTrl27iI2N5c035RoosXnjmKVtJCCFDY8WdR8t6j6m+UeyWSvrPa7xHMvu/tXUDezCE3TSni570gb8LtZo5Zoggs+DobMJQ2cTOeYSpvmP5hX1qojzEweDB9oMMzFHy5kwx182lqwndvDLiXLW0hcNx3JSyQpKffVccPKXzPzdZ7RLEuu/amTqlE5MI9cwaiTs/GcJTkMiowqy0O6pxaXRUx2fHbG/22fczNzm8M1psyFASlCglDjU+qloTXK6b2aVfFOzJcbi02rYOUKuUfJ61kX4dSk8kZ/K9eWNBEsmk9+byYaCMqo9qSTGR2bgXb7iZZ7JvZoC9MyfP5+Kigq8Xi8mRw7OmIaIsYWFhcw87TR2//4PoXm/uOxykgoLIsapDBoSLyqhqC+VJZuX09raGpEV19UV/eCROXoybRVy+LA1GEuW2k6vP5Ekrfz5nru1AkvyeCwbN4a3k5VH4dS7iT05j9HHyMZeQ0MDH3zwAWMliVIg0NSE5rl/wqSJofU6YhNZVjoNi8fFzzZ9GZLpLh89hV5LHIaAl9y+Ltrj5B5QmdYe8g4yZt5NzGRuQQ0zAFLUVOzWMdctG6wtvjL85vDvizUhHp9Wi87vx68x4zYkEeuQHwr8ajVfzT2a5vhUAhoN0+v2YdAJfDV3HvbY3YhqH7sogdhmAgyQpdtLhft4Mv3xZGk7ycTLF5UOLp8yK+qa/hAoxoyCwnfIuv5Ij0m+UUe8RsOOIbqXdf0OJsSYuGpPPbXucGz+8swk8o16psSZmT9MFd8DLB3MQhKAZ0pHsLzXzgXpiSGNzDfh2dI8jt5cSe+gl+f6nMM/sR0Ov9cTZcgc4I27f80l9z/K1o8/DBkybl2QVVN62VB+N0+mP0WWJbLir6BSkVZSxl5H2DAU1SrcI+NZ07IOAL25Ct1AZIl1p34bWu8Y/KjRij6MYmRmyxzbJsyqALuTJjFB34FWiqzlUhVMjTBmrr/+egwGA48//jiSJFFTU8OuXeHWBP1NlagBjSCCJKLvbCFoiiEQmxAyZAA2aWpodcvTHdoWPEL0tRaCAZLH9KHRaphsPZbe0W9AfeR16RUcpEixJF8Z1s4kW/QsOMkDgzbZSXmypyFJV0vvOxVMQsOn+NlQ0UVhQVi8OuGGSr6oPoaMmGYsXj9bUksQVWoSvDb69bKXwKdSsyUtMkS2S9XPgKuJsxv30104gaTevWS0yd2dm4M+QIMtIZ912iL6dQmUlSbxp9o2PuuxYRk5lva4JPZm5SOq1HQRx+dzz+Lk1YsAUAe9aEQ/O/WpqNVqLr74Yio2N1K7IoAgavHrrKRpBRJzkjjx3PkIGg26QICjV61GVKvoXriIuFUr0SSE9Tmi00n7X/5CoLeP2OIi7C7XsLV0TjvtNJqbmykpKeGlvT52+3sYXV9NrqOaTWMmUS8m8EF+DZ91pdDfayUz0BBRWag5LRGvupnSGjMrerZS5EihUi97jdoSEjjQ/SmpqirCmGlOkD8LDoOJLEmL3t/HPnMyvYOemuaEVIw+L1+WTeO0TavI8VjJR/6Mfskc3Gg4fmADYmsRNdt+QXuGA1dGE1va6lgpzsOVLBsqqmAQo9uN02Jh6dHnM3vrJmLsTcQ6mgiqVOycOAFzwIlPo0UrBTF73ZS1yR5La0IsEPnwVE8O43R78Ri6ELSyUZqrtlJQElkc8IdEMWYUFL5D1h8U/rm7IJOZ8RbGrNsbmrfOOsBX/QO0HyS+vSY7hVFmOd58X1EWv68evhHiAUotBs5OS+DstOHTiQ9Hkk7D6+MKOGVbFRusDoKShPo/1M207Y+uOHqAnqYGvnzuKSrXhVN5143rpTPeTWd/Fb9e+Wvenf9u9Ho6CwjW0PT6wrFIqR7a2waviaENv+CnJ5BInGTEpOnCK/iYpWlldSCXLE+0LmCEowGAo1RevBkjIpZpYlPwe9TUBRMpUPfhyZpC6qBL/vjjj2fp0qU4nQfV8hGHvH+CCs1APxp7H4GY+IjsnH1SNZaAvG5fTzMkJUdlhpgGWsg+STb2etveZCBzA3lSGQ0Nk0Jj2lT9lF53FOq4SJ1FmqGS7gGi6K/ewUTS+BQ/m3sczLfvjFh+UtEq1FtVgIYtGXJoLz+rnkxJz77e0QBYDZFhlBajhRZjKY2WRB7Y8QqJ/eH33hqTRkJmHMKpv6B2eTUSsC1Vw7bBUKnDYGJ3TqS+pdxUwjh9OpmDPakyPB3UqHLodXjJy8uj8ksHAl0Y3RkY3RmMMqqZduYUtCbZk5j2+3vg3vsAuQZc5733kvXYY+Fj+uBD7B/JOqLEYBD7iNyo62QwGJg8eTJTp8rF6yqWraHBl8Bfdy5GJwbYnFLC/PRKSlpeRS+mMW/u43y+NLLGSldaKjXaKlqb+2ls6Wbole5LjDS6A0GJjaPGcVTNHtriw123pbQ2HLvPxRYbFva2xaewL7MAIRgkx2MlHhvx2AmgZivj8KLlj7aVvFh1Fz7JyNPTRgGT6WtvJcO9JbSdxL4+Ym126kZaCBpTibeFs8/2jxpFTZGcAagRRVIHrBxfvgX1QYUbh9JIFhuT6hlQR373T0ovPuQ63zeKZkZB4Tvi4bp2XhsMGf19dC6fTCpifmo8yToNa6eXsHLqKDQCtHj8UYbM4klFIUMG4JqsZN4bX8hb4wrYN3vMsPubHR8dr/82jLUYiVGrsAdE9n0D3Ywkiiz66708euHpEc0Mm8t3R4xLKxhJVknYezDUkNldaKMlNbyvir4Kxr46lrGvjmVxrdzn5YkPnqCj3xoasy+pm1bNRyS13RreiSCxOmM1O3I/oCMx7O6fZOjnF/XPMr/zs0Oex9A6JwCunBkcd/rZAKz35/Gpt4R1fWH9zcSJExkO9UElVIOmGFTBACpfWJMi+DxYaoYIniUJDrpJmPtrmXhe+MYzkCmnL2fnlHOSVMRUv2wA9Ob40edFaiskScRqjaw2e4DGWX+geNy/uHvao5w+/m9YrZujxuirZKOrPDcPgPFp+7hyxJekB8LGWGlvPQ+s+2fktmPT+SAz0jAR4s7G7b6AmGWdnCuYOd5gQbexC3WtfL2NKoFnSiONSFWfl0/TTsbglW/gZTY5BLSpvg9JkmirlsXRyYPZajU6Ne8+u4fmStkTmHDJJSRedVVoe/bPltD7yivUbd/CS7++kfoPwtWi43u6MNXuJaZiKzEVW0nolzPU8vLyQsJuq8tHeZudkr5GdOJgWn1PLTNUsoDfsNXDkkV3IDkjw1P2WFmY3ShEZ71JKhWLTz+dwKDn1DDgZG9mAS/NOo32IcbM4zlXc++FiXw0Pey567XEoQ4K/HpxNykdRzPZKX93HDYDbsGAgMDD0k306bTcf374oaYhIzID0uRykToYUnNb2rn9dwuY9+xbfHnUXPaMH8fBZNj7UEvRxsy4Ovm7vk9dxLKs56OWVz9/Z9S8HwrFmFFQ+A7o9wci+iKdkBTLlCEalpEmA6MtRnIM0aXB56fER+ldBEFgTmIM85JiSdJpWDRxZNSX9XCC38PhC4h4/EE0KoHpgwX11vU7sHv82Nx+HN7hUz67mxqo3SrfOHct/QyX3UbA76d+57bQGJ3RxPxf38Vpv/pN1PoiEttHWQ95XHevvRurx4p1j3XIOlBtWYfeE+5VJA3mytr0Nty6AXYnhI0pX/XO6A0flPKr8vtADEIwwBrvCKZNGMOUQll4GkBNtxRD14APb0AWUZpMJrSDuh8O098qaJaNy9ghAQhDR2SlX1GtgYNqcRROHL6rtiBIxCW3kS3KT/Ytfe0Eg5HF+JzOavz+Q2dD+dO3UhjfyKjE6Dow/qAGVbUWp8ZAnVrWy5Qm7Ye+PKZ5w80UJyeqmdhdjdEfWRDuw6JjcGpkL9H+ogtQqeUbs8PmI78/iLvfg8rmR1tjh4DI5ZnJnJOWwMQD+ixJQtXvJd7jorhTNk7yhG5UUpANtb101vfgsvtQqSBPGwht29rp4uMnduJx+pFECf21N+DUhB8EOh5+mIUP/5n+thY2qAP4VSr8KhVaWx/qIYZmYLA55OjRo3G73bjdbpaVdyIB43vCYcKjO/YzPVCO167BWhf5PRUFDXV5M6IKEx6My2KmtlAWWKd0dKESRXyDn6kDBRatlnCYWBuQsHgdqKQgZU1ezF75d2P3wAUEJB2uNjPJXVYEUY1LMPLVWAlJJSBIIrqAj9zeyB5tpfvKQ8YMwLSGCoRgkO6sw9e/GsrclasYtaUSSZLQBCXS2muixrQFh2/u+UOghJkUFP5L2r0+Jq6PbLAWrx3+qzXSZKB+iHi37uhx6FVfH96ZEW+h7uhxrOkf4LI99QjA9MMIfg/HZS9uorbbwZe/nsvseAvLeu0sbOrh4WfC3oEPb5rFpNzI8FVLeXQfpXXvvEZ/uyyQvebJ57EkJYcEv7e8/C7/uOqC0Phxv7gCau897LGd/trpHE+4Iu3bI3rQqyJv4BnuHDpMYSMhqAqiN7sJDBgRPJFPpI6R45A0amIqw0XpBEkkZr88PVNTz/S889GqIw0eb0BkV7ONafmyIREXF0dPT8+wx6zp6SCQnE7AJBszBckJnPyLOxAEgSeuCjdD9MUk4M2OLK2mEkTicodvRQHgzakhuXU6erUOr89He3s72dlhoW5/v+zFSUycw9iSZ2m4dx1BSxMt0+8fdnt9njhqeYVj8nv55duNGMqCXFHxGRIqUk1dJBqstHSNIicQvh4xVvmmP2Kgg8rEvIjt7UvKx6yT6MyUM4iaNEHeMfuY7dHQqw4bfobl7RTdIB/3NK+DHagw9TsQ/RLjempIHPQMat39/KzlbSp2ncYbb7+DWj8FvUrN2t6N6GPOR9CEz/3FO9bgGR3D39u64PT7+O2W15nbupP1I8NjvFoNS8dGNxo9gBDws3BhuInldn8WkMnYIUUAc21NWBeasBIpknea0tg85S4kQc1x4qMsV0XXYhlKV2oqo6qqOGrnVn7773/y4JU3ASAKkVq3eEeQn3/ezyjtehrKmthkvSpi+T8734EE0AQhuQs6Eq1sL5RF18dWbKOoOxyePm7pMhL6+7GZLZzx1+e5dp3cykOUwLSug0W+MZyl2yfrvgYZ0BuJ8crvx+g9e7nvkus5d9NK0jtlAymzvZ32zExG9MnTk5wVPJlnQytquH3Wrw57Db5PFM+Mwv8sXV4/2w/Rs+i75P2OyCfj5w5ypQ/lvqKsUMbC2+MLMKlV31irYlCrmJMQw3GJsdyQk3JIg+lwtFndbKrvo8fhY/XeJtLb5cyI3S4PkgBijJZgmoEFn1fgC4is3NNM/e4dSJJE00H1YT598pGQIQMQn54RMmQA9CYTM8+7GIDs0rHstIbXn707iWO2h13sSJDqTiXNHe7WuyNpL2pNZD+mgDaLeGle1HltNO9EO2CLKNrui09B0upAUOPKKSKoN6I2RBqACQEbBoccGnjhzFwmxfkYkSTftIa2STjmmGPkFwe/VwEfGfGtIElIOgP+mASqN6/H3tGGFPCjCviQAF9CCt6scKaNEPARa9ExZuzS8PXSZxMXNxmA2BjZ9e9KqESXbmFEjqz1qK+PTCPv75dDbAnxM9AYjBi1Jky2Qky9ZQzHMzuvxZ5mod6TT5c3habYdD4onQvAqIQaJFHA1V2MSRI4JnU7ZfFVeJMEfMXF/CGum5GeXk6KCXvu9iQXsqa0gP06kQptgHcsPhBgnTHAfl2kEfrFinq+qurm2H/+naKmOs5e/jkjdX6uPKaYpDHh5pnxATtTK94FSSTo2YzdtQGQ8LsPSqOWYFFdLcle2ch8eOqluHRa7KZv0OVZkkixO8mur0MQRQS/D429j2m+FiY4Gxnd9/Wd0veNvgpJpQVBhcM+jVSp58CmQ6S6pVAF4fb0dCRAhcSxW9Yxqj4s8s/u8WP0ygZFWaMXTVBFvWc617R8RHHH4X/D0vviufKLZVz1+ReMbrUjBMPfwaTeXtSiyKbCcYg9fj5Jm0RDMIE2MY6gGxySgS7RQq/eTEJfHyW792I3hGsZ5ba0cNtbLxPwDTkpq5eGYAIDonydzfX1aHrU6BuTeX3foctSfN8onhmF/1ku2lVLudPDRxNHhsIp3wd7h+hNbs9L46zDCHJHGPW0z5vwH+/LoFbxxviCrx94CIbeoCveexFty17UV/2RoE6LmGbEP172ROxyB3l06X6qPniZMQPlnHjjL2mtkEXMU888jy0fvY80JKaeMmL4p99Z5/+MWef/jC//9Xdeqfg3pMLUigSKWuT348rPzJgTEqmYmkBCR/i67UnYQ11sFZqDwvb9GQ/RK9XDQZGwOnMbUxzxaIGgwYQrvzRiedASx1lXXYOjqZ6Vr0TqP5r37SYuLZ3K5+/jWAlir/wzf1xSy8a6Xn412Bph1KhRqNXqqDBPvmEl2bO66F5bgEdMwJNdiNBYyau/uYVTbr5NDqXkjsRrjo9YT2/vYPyxkf2NZs9ahTBoLAUCA3y1ZjKeYAtxN6ZTsNNHVUMNDQ0NzJkjp0RLkkj/oA4mIWEGAIbiBNy7e8jZ9hv2n3hlxPb/tvVmqpLKqLDbmbRkE6hkD0Z5jOwtKkmsxmvLRvSbUWncXDruNQSVSFvrKBbqpnH22WezbPx4qpwe6h99iypXKlvTS6gpGYmm8esfGtZU97CmuodfuWP514P3ADDizfMwTZoIN1xK6m9/RVeD7BHRHNTbCkCljsyokSSJE7sWow8O8Hr2Rdi1cbjPOA2qD915HeD4vfX0mwykDbigvoPdviBNOj+qgKxjO2vAhUYS0RiD+LUaBHtkaFE9OYmlMX+JmFfnmQseSAGc8Tv5ufZpXut+HgkwCjtxGeysLJ3CaYZPMHs8aESR5x75Iz/78+PopCQuWzVAdYaWt4+OYVq1nIUnoqXOM5NYpwYQmWj+iB3Os4c9pxxrWCju1wxgTd6Bwe1GAIKCiqfyzkK3q48e1KwiUuu015RN24RcFv/7WjRikFdPO5csWyd6j4c4m40Ztp3MGKwN5VHreLDgAhiU/F2u34LDLqDrmsyumOmY1m/j59E9Yn8QFM+Mwv8k/f4A5U45Pn7mjhru3N+M1X/o8t//KV/02PioywrI1X1vyU07/ApHmI11sjGT76xH37wHlSSRM5iC6S8OP5F5jWqeW1dPnqsBgC0fvY/H6UBnNDL51DOjtnvmHb8PvXZa+/n82SdY89arBPzyr96uFZ/TmSC/H+m9kU/Ozv4+EpojDUC/EA4XBdXJTDSVMaY2m7L9O2iLT2Z292zOKzwvYp2PplWyL89OwBQ2XAX/4A0wGKBt5xZsXdE9qla++jw7Pv8Er9OJ1+WkUJSfLjfU9XL1K1tYuq+DnZ8vRhjsYST4feh62jG01BCfJ2evGbThUIF/sCbIkqflrBr7QYaM2uMiyRSpYRk//sWQIQOg0cQQEyMLv1tb3yIQkIWsDQ3V7Nx1Mz29q3A4KgkEbIiCDq9a/tzFnzkSw6gEtNkWxhW+itM0ndjsm0iqOZPx7vEEi2VNg6ovuk5RfPt4Gpb+EYCYjE4ElWxJZmbJ7QM++ug9Pvn0ZlZVLWHiBNmIaojJ+FpDJj4Y6c16svBEauMyEa+4jhetFqz1VnrfqOCEE64/7HYCXjte+1v0BOSQriT2YQraUCOS624mzm/ln50C4qB/zmTTYvAHkFSDwlufn8LOfpZOnSsbMoOM27MHjc9LQWc/Rq+fpMGHE01ygNw5vWgTAghqiYDaQFP2PDbF3RBa12yKFL8D5LhMNHnDovFeRymrvfnoavsxeyJ1R3//258obZSPpbDDx3kty7F4wxb8Foccpk3WNBCniswcUh+iqaY2EENcvwNNeQ9bUkv445xrD3dZabOZ8boFKvPkh6SfvfMu6wey6WsSkQav5RcjpvHn6Vdy4el/jlg3d3sV+a12OtWyQZyWcORMCsUzo/A/ycaDUqRfa+uly+fnlbH/uVfjYPr9Aa7YE3b7fzq5CP0w/WV+TGyo68UQdHN61+eheTlt9TTkFYMx8ufAGBfAMtiB90A4KaukDHN8AjqjKdQs8qK//JW41LARt/jxh2it3AeAGAwy8eT59Mb68GsldH4VCfZIEbQ0TJjN3OWGQS1hUJ3E+PcdgBr2f8C/z76RO695mIKEOFZZrfT0ynVDvDqRLaX9qJqdZA/arcXZmezv7EHjHGDbxx9E7GPeldez8pV/AbD2rVdD8/0t1cTosxnwBlhR2UXrljWc2LMCVVI6GC2onXb03a0IahFTmhtPfw5i+yxIlD1Xoi4sRh3u3CztFmImhw0AlWMmyUnHRI1LiJ+B3b6LhsZnkCTQaM4nEDBQX7+V3t7PKcj/NQCVrgCvfvUbXj/1ddRmLclXyUbQ8qbl3LN/DwVxTl4yPsgXU+Ubqd7toTIxMkU5IShAzczQdPH4oxkgrLvRat3k5u7BaNxPYf/nFFpgmWEmvZ6kqOMeyhSPhtkeDU/GR97Eb5l3G+Nj49n1ZRVnM2hg7oHjMy9jWdu/D7k9KdiOZaCdL9ISOG4gHNKYrOtlr6aMtUmzEYA6Ux6t+Vk8Uv4i5ePGYWit4+jNO7F4/YzqWBm13dK2XnJ77eT02fFq5O+BI1ZLfoyHkSd5KHcfw1e2QT3IoK3hNDfSbbaTclDrNCloot0np7ZLSLxjCYKUDE5otqSQ4whnPCUO2JlW1UVQm4RKErh61x42EDaEbEG5SnKWbi9Baz8M2szTN9+L2dXBpqmX4jSH37cDpJXbuHvyOYe8jgej39zDjuIyxtRV82jpBfRrY6nKzSCzt5MMZy9PTLxg2PXapVisuji6TMmoxCCXXvTN9/ldoxgzCv8zdHj93FXVwnXZKcOW+/+85z9vhPbvth5+s7+FyzOTkIA0nZbHGyOf8n/shkxzn4uWfjfF3sgaLPmt1azhpKjx2rjozJ2cUlnbcOmDj7N31TJ8aSP54wYHU9pr2dtqY2Sqha3Bdew+1caUinhUn33E1sUf0lEg38xKdPkkXvIbPvhyPR36dH7W+g5BY3QIcESXlr1yhIeTNvTBEPHlZQufY2tZIevdAcxVOQzExOEd2n9G301BRzyaASvn//51Xn/sr3RXhwXDcanpzLvyOvInTAkZM0NpKd+DxhAWkeZ4ZEGlrq8TIRggMPjkbk5zo1JLODtHo/clYrbn44ytRzSZkQQVgiQSHKLRGTd6Mk1rRJLLtpIyRtZZaYIlzDo5Mux1gISE6TQ2ycsEAeLiO+ntGYHVmk5sbA81jf9EBVR71ewa2MXv1/6eyWmTGZ8ynse2PYbTLxtMe4Mj+cN4Fe29KuLtTn735JMsmHYFSW4rLl0sbrWK3EDkZ/e3jb9g7sC5zJkmG4AzZr4fdXwGTaRnQJ22D3WgC03sTgKOEgr6xjLHMxINAhcP6PgqqZpWX1hPdu47f+WqgA/xqN+C14Z315vEjDwetaAjKPlQ68ZSp48FJPLdTYiBcEHDuZ1vRUQadZ01MELW/qxJmo1KlMNUu0tmo2EAb1ouFm9Y4N5uSuSfY8/kkv1LKba2sNcymg9zcjEFPGjEIL3GOFINVkq7pzIQHN7b6tdbQSXSn7iThL4Jofl9wSwWa9OQDH7KXH4YouTak1RAjqObjwqOotmSyrUVXxLUhL2SO5xnAZCkqac3EA7dZun2Ym8KMqXvYZ4992oE2wjm7ehg1P41bJ8kGzM+JL40+Sn0q3CPPp9QLGgQSYBgrvmQnrQPY2ZQMq6R/iGamdcmnkE/h+619OKY+bw4Zj4AGQGRtnfXwKTSQ47/Pjniv74LFixAEISIv/T09NBySZJYsGABmZmZGI1GjjnmGPbt23cEj1jhx8rvqppZ0mPjnJ01rO+PNmaAQ3atPhw+UeQ3++Uf0tfaevl3Wy9/a+ggOORe/0BR1iHW/vFwIMQ0Vh2ZlZPa24lhMAtIJ4mctkwuYudNjuVgcspkYWpCRhZzLr6Ce7f5WF7ZxcOfV/LpnnZeWr6c3UWyYbF1tBX3YBfijkTZmDluwtncu8FKeUwpfbpE3s04h6Apsl6Ooa2eJLsObcCE3qeKCksB1L7wFH/YWcm8TSs4Y22kMWQ1WNF3t3LCxZei0Wi55Je/DukhALwuJwUTp6JSqxk9J1pM3FVfx5mEf2NSvPKTtCBJ6Kw9fJ58HAHUWDLla+bqllsymFw5aFVBQCA4GOoyZMk377KyMtpXmtGKRjKmvBna9sy5/0arGz4rLS5uSsR0fJycPWKzyr+PKlHef41X/hn/qPYj/rj+j9yy4hZWt6xma+dWJEGPM/EyPuyVr/8db39IZZz8WS12WBkZkMWiRf5wmMyjcdJrbuWDjCX0VR037LEBnF/8Uej1vOI96FOWoE/9ArWhE33yatxZHyIMZslkB9XM8UpkijuH7EfPqL56xN5qfLXLCXTsIlD5CZJWDlmodCVsiR/Px8njMcfOPuRxALQZIhusiio1ICEZ5POOG4isLfTByGPYlFHGS2NOwS+o+fvE8/kibzoLR87lveJjWZEzmbdTjsMWiGyZcQAJEb9WfjgK6Oy4TOEWA1aVxAZDgI2GAK3aSMH27pSR/OXKW3h+zHw+LZjFxtzZEQUUPZL8nSsxrsToP/A9FTFrm9A0e9hdkMrn00cxb4dcIiFmoBmDWx63Qx+gQhfkE7OfZk205ihxjJpASTzH+GQPYqGqh3xdWEPn8Wt4ZeTJEescypAZm7w8al6WaGSgb5jqjT8QPwrPTFlZWUSJafWQsuyPPPIIjz32GK+88grFxcXcd999nHDCCezfv5+YmP+uaJjC/xabh2QuHdDLfDWtBEcgyMW767AFgmywOjh9SPfp4VhQ08pzzd3kGHSsmjaKfQOHLyh3Q3YKV2UlH3bMkaZ8zUrqX/gXZxNDpkcOGW2On0ysf4ASZxXZ7Q3U5Jcy0mklr0WuH2FPSODZy+7EozUQ0OmYs3MNvx6Mqz+2tIqPd7bS0CvfUAWNHUvRA1H77Uz0kt1tpDNRfoq/74NIrUanIY1O8wgS8KPvaETtctBmdpMjCZyzKhFRJaEPRLdp0HU0c8urDwJg9mg4a3UOdrOHFVO66Y/1M//Pf6FolOyu1xnCBfC2F1mpz2zlmOptlI2aygnX3kzDru247bIBpk1Jx9/dQVnKO9xXoOERz90kv9WHoEogkHgZ/VKQM3069qefwTFzPmHA0YenJ1zyX+1KxW/oJXvmWaxNdSDV9JM+MEB/lXzDMiZG3tzKv3Kwa0UFZ/5qIvFpkam/Gk2kkZMy+hxqa1uw2lMRRRUqlUjAbyCu6Sia09eHxjUPhG+sfn1kRdY9qjg+GiVnTOV5/KRptUz1akgS5eP7cMxjDOj7kAZTcKx9cQcaaUexLFjHUWWPMNesJs3SzPZ2fUivAtBnbuODCQ+j85k5a9+vyLGN5nwkPtd0st8Sx+7kQua07cbfvB6vvQ014B7oQmv6OZJhOip1Ip1q+bvX0L6VyyprcelgxegcVOjo18TxUcZ8Jth2M6CJ9u4JBhXvB8ZwYtUmzqxYH7FsW7psgFYm5lOZeOjswyfjPfx9zb+4Y+blOLXy5+hEl5bRODiQpqQKBpm25UUSAgNo+z18PmIaDIZllprlbcf5/di0WrZljufkFgNBi/w9qCgZySgnZLGD1sHwklOQuFV9HPlqB1NIRtQMcI/tClaeMw5xQhxPPxzuR9UTG09F0j5cfW6+ip8bml+rjVTOj0s2sTdJPv4zytdwUc9n6PQiOydO5F3jdDrU8QDUi7KXKEbwMCBFGjK/w0A+KpJQsVTScbDMOjugYsrZR6YvE/wIPDMgN3RLT08P/aWkyNawJEk88cQT3HPPPZxzzjmMGTOGV199FZfLFWr2pqAA4AwEsQUin0YEoNhsYFKcmXMHM4wObjdwMG0eH881y0/izR4fK3sHvnad2/LSIsSbP0aW/ONR1J4Bsj3hVGp7wQzECXJNl/EVW9EEA5TsXIvJ40I1mLXjMMcS0MkalzUT5oBKRVCUeGp5tWzISBKxfjvm+OgnNYCOJA89cT4CGgmdYMbglW+NWgLoCKBGJFYje8s0TjvBgItdCXK2hdGnxuwJP28588sI6I3ROwHinSpyu0zEC/IDztu21TTaGul2ye/lyTf9Gp8qSHn+AAPmAG/veI0mexMavZ5z7/4Lok7P6ukn0pyVjy7WR2JJDxm6Dk7wya0rxbjjMQc1ZIt6zJLARP8IHK7dePpzCfp1IMjnoPXIRm1dYx27XGmkD3oEurs9WM0BLCPC1Yod9Veya0Uzjj4v+zdFhiydwSANbi+r/aX4RHiiNYmVjka0Bi2Ianp6ZM2LrbuEss45UddDkARiPUkYgxMxe+Qbm9Hl56OcyeFrZsxHi8C28Zvwqt1syf6MrphG3Lrw03VXWwWiL+wZ81izEEUVr3daaPSp2S32kh7biFkjkqcTSVKLxGp0FCcUo1fr+esZD1CSGvbw6RAoEeTf9wNduoNdFQjWRiSgPXUygqBFpU5khy6AKICgGuCyyi8BMPnAIvUyoLZQGTOKAU0M69Nm0GKQvU2aIXnRkkfCG9CwOG82Kr9sFPnVGvYm5dFhkrU+XpWORYXR1+8AAUHg7mkXhwwZgC9NfrrNvRiSs7GLejR9dpK6e5BsftpMSXyVNSE0NjgoPj7FY0YjgUOlYp0h7CXcqM7Bi8SY+GVYVF1YVSJrjS4aSGVlYhpByY/D1MVS0wQCARXafVaKG+tC66fZ+ohv38tn6WFDBuCA5tokQplPzUk1EhI6VMEgWR0tJPv6kDQq7MmJzDaGQ7DSoEkwRt2BlvDvaSESp6GlDA3pqBjvHMXUId9Nowi5ARXpI759a5Xvih+FZ6a6uprMzEz0ej3Tp0/ngQceoKCggPr6ejo6OjjxxBNDY/V6PXPnzmX9+vXccMMNw27P6/Xi9YbjuXb7f66VUPhpsMnmjAj7AEyMDT/pzoq38FJrz7BamgO0eXxM2hBZ/G6L3Un5oEbikoxE3myPbKjYdsx4VD9yQ+aAUPdglvz2FABcV8zi2esv5dfPLwgtS+9uoS09+om13OEGe/jHuGygnGN7v2J5WldEL1993yi8iftpT/Jg8Mk/6AmeDE7X7+FL/yhOiW3FrBUwjZxG5w6JQEBE8HlpNebRFJgHhKuLOvNKEAd1Ne6CMmIqtjIcoiDg16WAd4D3Kl/ivcqXAHjz1DdJnTKG105zownKN/ZF3lUsWriKP8z4A+cXn8+bP/8L7V4/2oaVnDw9nGlUGKjCjQaTRYc05KMjiCokScDXL4eCLBl7cfcWoPXJquWgxsOJ+2WNRgCBDyY8RFH8SGbEytkvL3Mdo/fNIN4l/061VkXWKrpyTz1r+h2gu5f3au/BXXsdFY3VHKPfTzbZ7K+cg1odYGf7WHQxDcS7k7AawyGDSS0nMbXllMEpKy8fF8P5n1bzbHq4Qqt50JuhCm7m5Wlvk2WfEVp27E6RFRNUtBjrsS8W+GyaidP33US2fRQ2fQ9bJ8nFDyUEar1qxhqD/DLtwG+uh4Lxd5GfJF+bzI0pfOp3ENDK+8sJqBAkiabYdPr1FhI8VlTIRehqC+XU41Z/B8vi47jr9Bw+3nBJxLXZFzOdT1JOC00HA2p69LIReZ3dyAcGK136SK9CVUIuY3rruf4Xf6ajITJsuT5zLIdjqIbkAG9Kmcj9HjMgZhzOEugxxPFFXnThPK0EWUEVmQEVTVqRdk34h6pLpeHVGC83aPZRr+viFUMMQ30MlSn70Kt84JM1XF63mpfKTuP6vXLrjyACb2UNL84t8Pg41xN+v+9YZGXpqAbWjpK3pYqXw5UxKi8X67fzlnciB/Q96aoBklROOkT53H+p6UUIhLeV5RzBMR44xhOuaSMSYOEXK7iydPShLuX3yhH3zEyfPp3XXnuNL774gueff56Ojg5mzZpFb28vHR3y00paWqQAKy0tLbRsOB588EHi4uJCfzk5Od/rOSgcWfr8Af4w2JRxnEV+gjKoBP4+OpyxMXOwzsx+p4eH69rZMhiSkiSJz7ttPNvUxYW7oku+r+obYOvg2OuyU7gsM4lLMhI5ISmWR4qzf3SGTHXnAFsbwgaXKAZZ+eoLUePm33ZX6LUpLj5q+QW7VkfNA1hndbCiqh5twnq0CesYLX1JV7yX5rRwKC6n04i1WxYF9sf6Qy0M0h1mBAFO0u1H9DgYGBhAZ5NNoA4pljZ9Bluyp+EZlcjq6bIg2ROXjDhERHvhhRcy4sbbQ9Ppo8egGfQcdaRm0xYTvskd4JLPLuGmlXciEP1e3bvxXm5e+Cc6nfLvSV5mQ8TyUenVpIyzIzmjs3b6Kk9ioFMOMY0cPxaDZQC1GK0xcKmdIIDbVcXu9jw+ry0lWDWCxoQ6qpO2YtP3sNS1mE0tW+ios1HTZJMNmUGCA6eCpCXgKKU5EH7yLd83D50TEAIcHzido7OPxuK3kOAvZWrLKcRbqzG5OhHEIL98fxXdwXD2zylOLQICAcFHnVEuEDe77jgyrHmcuUFkdrl8w107RsVn0+TbxPo8uVJuW5xc7E0blI2CGk/0bWT/nutZuude7Fs2MvDll0zY/XRomVESSPfK36m1BccjDmpGzK5OAr71qOwvMKHlbU4QNrK8/B7KGiU8+nias+ayKyvSkBmKyiAQ56rgz2v/EbVsV7Ls7Wv1xofmSQd9HDJU/QgpWoJpRgxJ0ZqTw/FGyYlRhow2KBv92QEVKgSyA8Pfbm1qifulc3nFUBi1bGMwm6ZgZKBv4ci57EvM46OC2SwsmYZzSIit2BvOlCqxR98jp1fI3zdBlYAjPtwDSi8ESRDk77ARH7GCh1PUnaSr7Jyg3c8OTT1vxixntXkHlepWegLRfZtWlwyQbzq0WPj75oh7Zk455ZTQ67FjxzJz5kwKCwt59dVXmTFDflI42IUvSdJh3fp33XUXt912W2jabrcrBs3/MNfvbaDWLT8VXpuTwgXp0VH+JJ2GUrOBcqeHxxs7ebyxk00zRrPF5uSWiqao8ZdnJvFaWy/7B7U3yVoNJWYDfx314/0cBUWJEx7/CoCVdxxDfrKZrYsXsnfllxHjZpx7EcXTIwWVI8ZNpHG3XOK/ePps5t92F2c53RyzWa4xYrItwhV3FuutDqob78WQLlfm/SKs1UcQ4bIvcpFQU56XTJwmG9uQDJQUd7SYsrlO3k4jyewfORbfHPnBZTNzqBs5lvO2rwKgKJjO/LmnEDt6BKNHj4Z5YeHux48+QPXm9TRmFuDXD/9UWNW7nWjljcyagYXEu9bQl/U4adrOqOVx+fEMNEf/VHbvOTf0eoQpHuu2z3HmZaHxxRLQhb3BbWb5GrT4VbxEF+gg0fkyF7T+jvLUVt4b/zABtY+1yz/goj130ZOeD5PDYQ11MPyZ2287hlG6vSSqInVcMd3x3PPzJ7lr492Y/CZ0vlom7XwCgPoRp5DfuITPp10BwPz2ekqMcsZJe2wdoiqIxRtPgjuFczckcfTOGrzD3BkGjPJ3rC1WNmbKOo5iZ9Zyqr1qDs6c0Yo26H6Fik9fIzaoIXagieSGW3jn+OkcV3MZSVoN7cC6vLmMczgY0bwMqxFOXP9GaBsdp+zkeX0cpzVJ7Bz/SwZMqTx2UIr3UE4tX8vc3bLB9bev/sEdR98SWrYnuZDujq0InrCRUmzqo9op/1YkBu28uOh+vpw+h4euvAl7MJZb/vUA/yq4JjT+w8V388DUy9ia/vWeB23QT2lfI7tSRoYyxY7SbGH9kLTrtIBA56CX5s3g8cNup08y0xeMFogPPbfQ+QT9PKcv4GSxH59Kw5T2ctwjRkWMifFa8ALamLMIGvbCkGapmVIf/ZjIV3kQBJgmpuBL3IjWIRvQLj9U00e1to84Qwo6d+R16MnMIm9eZLjrh+SIe2YOxmw2M3bsWKqrq0NZTQd7Ybq6uqK8NUPR6/XExsZG/Cn8byJKEmuHhI5mH6bS7whjpHt5Tb+D19t6o8bNiDNzX1EWI4eURZ+VYPnR6mLe2NTIoh2tXP9aOPyyauMu3n32OVa9/Xpo3o7YcWQdM5/pZ18YtY1Tf3EHRdNmUTJ7Lidc/wvsPjsvb1tAcc/dZLf/CsPAUpACbGxazIBQFbU+gEoSUEkC72bIN3n/EBc3QKz/0N/DrolZIUPmAPGuAQyudGJdmcxNn0LMMcMbkkf/7CoGZh/PlglHIaljsCf9HL+ugKDqmze9Uwd7MLg6KRnMYrI1hj9Hri75hmDJ2kHcqKUYc7dHrOvRuHjn03+R1/gl2QOfUVK8ARMaNKIWyRdL+WD9maH0mdt5Z/yDBFR+AkMq27499kE2Jr4KonzTNthX4+6L/Nx1u6JrJdmFFl587XXMfhMCkNz3KdVxWdw+52bWmESCgoo9yfJ66YTfh7ZYOZyXaStCkGDqYJXnfQXR6bV+VR8OnZXWOHmdHGsJJ1dfxqnN50WNPYDjtPAT/Gh/Smh/hW75+jZrRHoTS3Fq9Pxr3Gm0WGSDd2fySJ7puZucvbNpCx7Njrhk2tXR3oChjO2poy7vVGyx+ZT2NXDj7oVcvVfuRbQrZSQ3XnIPgk2+1hkmkZ91SOgHNznBVo0ATC3fhRAUmbPPQ8lALL/Z+gYjrc2kpA7gTS3m9u1vM7t1NyaVlyx/NwXW1qjjMOt8PLn6Ka7b9xnT3WomejWMN33Mjea/cqW4g1LaeIq3ONs5fNuFov5mrtr3adT8WZ7D+x4eUMWgQ+BWVz/X7vmI6fXLSGv9nIB9EW5tA/1J2/HExeBLLsQdawVBQgiEu7hPcpdzMTpuE+MYHxiB3dDHJ0mrht2XTS97gOLVYePw/BUutjy/cdjxPwRH3DNzMF6vl4qKCubMmUN+fj7p6eksXbqUiRNli9bn87F69WoefvjhI3ykCj8G9g1pJWBSq8gapiv1AS5IT2BJT7geyUargw6fP2rc2+ML0alUzIq3UDOoaZj1PbZD+G+o7hzgnoXRN8ueN/9KX9Af4Y3YlziR5685B4022kdhio3jjNvvDk3/6avf8ln9Z6FpNWDpewWdc/jwE8D4mji+TD42pF8wdY3AlSkbB2mutGHDPABetYbOxOhssDHNncTYiwGJpEvHIGiGf/aKT89g3qXX8NxgmDCoScWa9nsQtCQ3X4sgRdZDccadh9kWXTclmW2YceEVddR/kU3WzE5SxvaHjJmYrB3E5W3A3ZtPY1O4fHxjqp6jNnWjkgIU7f6E9mv8TB40eD6pHxXKDDqYflMH6/MXRs13qNdhsepRix7Uvc24xJsjlndLFsb44vAPqa0D0N7YEHrdlZrKgyXXAVCelI9brWdAZ8YQ8GI0yt6I5rgK6hNlDU+mfSQmVwdGrxNRr+d3t/yONO9HePs+ithHZeoGXDobKlFNmiOPmQYjmQEVzb07cCXtw119PMaiZRHrSGoJISiQPGUmKZpd2PTd5PqSQQrQp5Zoi89n+fhzWJkxmV3xk3j9i3u566gbIQDl6hzKxwL4mD7MzfznuxbySukpBFVqknTpNOSdRkPeaRy76mbOrFuHBLw++iR8ai2udlkRkkI/64M380xwIfkBH5W6IBObZQM9ccDOcTs7mVmjp33E5Ry76maKnTW8kjmfVy66lVsfv5bfb3kNwiVr+Pv4c/gsX87i8RfH4klXk/9uOz1JYzjaqyNO3cZRsS8DMCargou975Hv6KCDi7jIqedtc9iYDSbp+e3Wz0hvreHlsshw2oHzX2+ILi/xyN6PSB9zGQBzzRmoatcAUFa9GG1GCjuK5ffckegAEmBQ4ab1mghKHQQtcSS6nJxvNAAGCMRw2sibEQUJm9BOnDRMd22VhzkWC4tt4eNx2o7cA98RN2buuOMO5s+fT25uLl1dXdx3333Y7XauuOIKBEHg1ltv5YEHHqCoqIiioiIeeOABTCYTl1xyyddvXOF/ngOZRnqVwIqpow479pSUeF4fV8Cbbb181mPjix4bA4OC0N/lp2PRqJkVb8Ew2EF5VryF1wY9N4fz+PyQ+IMiP399O8sq5HDIga7OQ1GLAVTBSCOtV5vApQ2v8sbtn3PxvX/DHH/orIP3qt6LMGQOYDzIkBk7kM2eGDmEIvaPo8Exg0aLXOgr1qBhpCuN4o5ZODVOcp251AUTGKm1I4qReoSAWhPRwPHoDheW7p3kdR8wugTa6wcomHDoePzcxBguj6nkw8bN6Fxb6ct+CoC+9PtJar8jNK4v4yGCmgwC2kwCujx07p2YbB+hFm3Ee7aCEfZLo0Hy0bYxFVvL1QQGZI9GR0YMcYAxqR7/zCXkv6sn3lbD+uIb+OUdCwD45dsvYf7cxo6Ti7iMl2kxtEEAMvvMtCV+86anOvd2BNGN3ykXRMuVvGg1PdQGs2hWiwR98XwkZdMvmZinrWaE2hqxfmtyeqhSLcCikXJX67LeenaVVJKojmHEjHxsNbKOJtNehMEnhyPFMcUEtFpaNGdxn6kIafFyagLb+Gyqim3ZcnZXui4TjagjUyd/VzJ3/xxXwn76e3LZY01kVoyWrhI5ZNT+d/mzuLFtD+dVn8LumEYKelJIDQp0aSSeTghCgpxl1WeMo9kS1nIMZYdevmnm+FVcVbcNoX8H0zvKyfN42FN6JZ15Z4TGenWx6H12BEAf9OFTh4WqwQQD3b54pm/9C6UaPY4ZEoX18s29L76YmTVhj4nbkIjVpOLobWvYO2b4G/UNez7GlpvNygnjETOMeAJt3HZ9ATMbTyTJKxe8qzVm837MeTxbfCp/rHuWUa6FnJTwEC8G7+UCB7TqJDaMNuLJNfG7gpsoqa/lbPseFvrC4mQNQkQ386FMH3Np6HWcYGJAayYgetg0Yzpe3aEf8HT+TDTOJER/HFr1HPa5g/QHJPabXkUUJJLsJiz2o7GIEo64moh1XfFVvKSzkqqLh+4yJNRk5n2DJp/fE0c8zNTS0sLFF1/MqFGjOOecc9DpdGzcuJERI+RMijvvvJNbb72Vm266iSlTptDa2sqXX36p1JhRAGDdoFDyzvwM8oxf/0U6PimWp0tHoBOEkCEzIcbErXnpXJudQqklrFU4OjGGRK2aMoshIuR0JFm1vztkyABsru+LGpPujdZ9JPnlbBlbVydr337tkNsXJZG/bPjLIZcfwBF/PePX64hzaMBvxtl1Di2WwpBRYtCqiFe5yXBnMHJgJDpRh1swRRkyAKuLJ4ReawN+5pfvI7eviwQxLMg5ONtnuONesu9+jI6liJqwl0fUpmFPumHwmC8hqM0CQYXPNBVRk4In5gScCT8DwOeVtVN71ONpzCrAr8kgMCALfEUBWuLCAs2KDD35DYtJ7dmF3hXOgHvqoqtZnzqDz4XTqbeNpz4o34Cv/sJOjEsi0ZmGxxBOjz7AqO6zkYSwNkIVdKISvQQHQ0pFbgtn9Raik8CrghWk0C/J2Xor/UVR22tVD2+supLqyPGkEeeIpbGlDkmQsHgS0COR1NcAwJL4RsZajCBoSCg8hRM9JzKuXvYuHfAynVl2OqI5nMKt9luI6ZpMhpjA3P5jSWg6AUtn5HnmZlbSZanBMmgT5A5TPwjgyZnDC3x9g+sd79biTptFdqADAbAWXERGMPJWZo0PX5Nfb383YllnRgbPms7H7Ogk3drExL1VIZ/hzgm/ihjbH19MR5wZh0HHNR+9zSOXRveP0okBLo7xI2aaQBAw2j+nJamJgFYOc2bp9nBn0e08PvpsPGo9i5PnIkkCNn8OaTaJEQE13WPicBVaQKemJTGdnpQU4lQeTnLsBOCXO97D4O4hM6AiVhSIFQUuGtAhSDDRp0Z9sNczvYyGvDxacnLoPowkQ+dPRKsuQO9NQkCgxivSG5SIcZ8FwM++yiTdmYHRnUlc37ihEhucOisAXWor2thWtBovpVOPXL2tI+6Zefvttw+7XBAEFixYwIIFC36YA1L4yRCUJDbaZGPm23hOjGoVk2JNbBzMUpqdMPy6iVoNa6ePRjdYmfq/Zd07/2bH559w8b1/Iyn764XELl+A+X9fS0ackX9fMw1BENjRNPxNPdZv54qWN4ZddjA9zY2HXFZjjXz6OqPwDOrWWtmb8VVo3kDCZaTYs9AEg5y0vYgzUq9kaUYiV1w1kVarm7OeXofbYcesj/QOjbCIMJglniImcP/cORj9Xpx6I+dvXYFXsJLk1lOjDhBrLSHgCT+wtFZZD3tO1f3VBLTZ9Gc8SGmTl5+/10e/OUCMO8hLx8+gN7MEky+eX3/UT1Wmjk+nhg0Hn0EWMlr9XpxBKFePofXkHKbvdzNvn2x89ZtVLPUUc7wPkh/S8vPej0PZKsWNlXw2OyyoXj1Z9qYs1WfjtVdjDEqMaZR44l9BXpg/j854WVcQ65+FXSsXcxvZXcCGjIfQ7HVizP43Wss+kPQEXXmAnM6sQqDAOUClJYYGTeTn8RXPVDJVNk7UVWHvgeUWuVheospKnxgfGpccm4hGlI2I2MpYslOyUYta1pT5mb1G9tJsznQyM+hm6prFPN9cQt/UEiZtMSCIPiSVvN+cF77EYLwJAK8osXwgwHExGvQqDVo0OFQu7vLUkd6j45rkcBhl0uRP8bviqf1kCpnB4Z+l9xtlA3JUXyP7DypoZxYhSZSPoSpvFFk9GwloTVHbcI/Ig65tAMzs2Mcd297kb5Nlb76YqKelIWwoD7TIDzAdudGe3cqSy9BaP8MnVdJnNtCcmk7N3HxGrpaLH970m7/QmprGra1hvZrWW0GcT0+aQ/aaJuv3szWuLLS8SZ/JK90v4BHDn++rd31M9nOr+d0vFlCTnUyWVa7qO7d7Nxev+5RUdz87EmbgMSZzxYD8YGWQBG60GzBI4NJImFQCK1M1zOsKoE8pxaqKLGtndHpxmyMfylTB4b2d+kAsN2x4Al9S+HOm88WT2D2dgNaBPSGyCn+rqQFMDaz+UsclUyYMu83vmyPumVFQ+E+oc3nZYHVgD4jEqFWMjRm+mNqhGGrAHM4QStRqsGgOlQfzzbHWt7Fj0WK8Lifr3j10I72hbKzpwdbSyNrqbv6Pvb8Or+u80v7xz4bDLOmIWZYFZobEjh1mbqBJ26QzKaWMM50yTNspc5pSoGmTBht20I4dM8uWLGaWjg7z3vv3x5Z1dCy5M+98Z9q3v9frunRdOhuezc9zP2vd6179Pp0btKdrLmEZYGtyLm/mbDbZ34eSzo67a5rGyYmTPNycObdPr/40LZMtrBq4jCVDepaCInhJmzay4uQ+EMwMeReTMjm5KCXidZhYWqLPRgvF0HS7mWPYYxki/7iUgyqKREwWGge7GDEepjxpxqSkEFUJczw71DA5EGa0O8hoIsXhQISJM8pS7B/ZT9h9OwA37Ykgq+ANyZjTJm7aPYkg5FI/mMYe11jak0BOzxJXk9yIch4acDJhZThVgTcosiiTiMUz6+30U8ZA6wIMIwKmVAaoXXzgbXICOsisCCuY0xqyqpEe0pFbw7iIqIEjBle9/TLOUA8Ag4XXkRsppX50PYWhQqSBJIIGieAWAJKBpaAZsaiQpwrIqTDn92w/63MdUl0k+mI8ZV8zs2yxNEmNqA+MeUKYKkUiKSTR0BAQWDe+joK4Fy2VRDVYiBpFOorAdOgtDKrC+q6TvOoOY3BVUz39+AwpjfI3W6ns0UHZaCKBNeHHH81kcB22tTAuJmiKyYTOcMYZrH48tv0s8/WTn8iAc9t0WOy00NwtPYdpCE5mVd1eMtE5w73yu2sJ27K5HHZxWvDSvh7xQo34mgjJnDRbgmNUpkZRvCY0q8Sytmw9KaMjTcSQIYyb4pnzUtxXAjBpt7Cu9Tjrik4wmePhlTXn0VJdyz9PPMnX6i4EQEpNIqdGeOdIMSDilgaImGWSWpyiYBd5UT8/P/EfRNUcVDKhr0Wdb2BS4ixvO4qoqhQG9O/cEotREJtCAKq6n0bVIjRIQdaaJcwCuDQBGYGuhMruHJEny/Q25byFjHmzv6Hzdu1BTtqRk07klEhFX+qsPDZg3nWSasKYdJ91H8vfUdPtHJg5Z/9wdiwU5fx9Ldx8VCd8rnfbkf4PPSenCb2SAGtd89fG+Z+y6LifyV+c4JLidyMgEJqc+M93Ag489yS3Dz3OktBJ9nRNEE6kOT6gkz53fW4rm2ozLt1NhfN/yiarDXehXrfG7JSRzGlSiTgjne1Z2z3W+hi3vXAbz3Q8A8DHVn6Ma2quYWIojCVt57zeG7n+6DeJNn+Ki598jLqukxjtN9AQ2MidqywYwik0RUUUBXJtRgpFvVPLeizTyCZv5DwSKX3gMIV3MqZ8heba9/NCrT4InxaeO21qrh7zf+I7B7nspWNcebidiw+0os5CSvtH9qNKHqQzlROBgqCBS45GqRzTAYisQslkBgytazrMBUN6aO5wIodr98f4p9eC5Af0Ufg3lzgZytV5PR2dy+a0b4vHePxf72XdSJQn347yry1xPtSewJnQAd3SlowDfOHgBJ97Ik1aLiRuK+ZU3TdY13ctgmpA9OseDC2USyq4iMSInhVWHxxHQGDl0R+zeKIr69iiKbto6J/yN2f9LhRDbDJ2c5f5AFebWhAFaMptyhqoiiMl1I70su2Ky3l7/WIUSSDozwDPxqbtvLyqikV92vQ1aBgVSDf9ifT4Kdyhfi7w2MkTUmiajkj2WVtm9j/5XANHj2TX/Cmt/w1LCr7Nt675Mk+OfoJnXvwaN83K7pE1CFffztVqKfeEzHiSOol79dBRDpXo7FujUMtvr383AH7zGNd5vshteR8HIKVZeU39Be/fksObN66l9OKlbHd8grvy9YrZK2aBGYs3Qc1VY7iK9H4gf+wg53X+iWwzMmm38L4Dj3GSRl679FIWTAzx5qdu577S2zLnnTzFDeEIS6f08GCJ8SRdwkJKB77CH/Zb+MOeIC7fGWUrhDHeql7BC9dcTSLXjDc0hUFV0NDBzGmL2NKkwg+yyOahyiRxmctAlUn/7jsTKi9pQY65JRQ04lYHIVd29mDu1Chlffl4fMvZMLmUVa4LZ9Zd7pRxSf+1PlTQMpO7QiU7nHneh+49c/O/mZ0DM+fsH85+3T8+m9v43yLnrnfbeW9JHl+pKflveV40VSNyaJS0P5MpkxqJEDuRDVSUdIp9v/wDJsmCzeDCYyxgrLuLVOLsehkAo10dyIdfAmDL5E6+++h2njo8gKJqlOVYKPVY+c5NS7m0sYDH37eGodaWeduxOJ1c/9kvUr1qDRWXtWEv0r0Fh177OUdeeXrmPL6575tZ+60tXMuBvkNc3HbXzLLCmJ3apMiSQDeSaQWiXISkibxvW4BfmjXuv/8IPt8xvr5hD5XSXC7PaROQyAvYEVQNVbQT9H6CSYuDMbsHc7gSpz+jX/HAhQ5G3RkwsLRTv98jyRTf2dtN55ExdkwG2DkVo244jzt2zF/obk1HgoaBjDfllrfDnH9iCkNKY9PRg9TYdHDTH4b6QX07CagwCpiTPm596Tdc+eYPuP2V5+ZtX9Q0Np/ayw7HQTaPpnhnT5wTVj1k19gVAzEzC2/sB2+wADmdAlFiwDPBiJjKqLipVuKD75rZfn3vTgLJr+M3D7HQ3891nXrIr8z8JJbSh5HOIP+etuXyIFZhbrbeqolsLouEiG36E/AVN7ByYiXmVDZpNGqzcf4pB2tbVW7dmfn6Ym//AOPwQQSDBcmWhxrWQ1UnTZn38XB5guNaiJ4TuewNSygapGo0QlfrYNH/LgVTMki+ImCebro4LSLPAlybQ/14zDFeu2oLbyzfiCKksaZyKJ7Sh7A2717yTKd43QEBc0Y47qqOm8mPr8Vt0IUjv975M9731jfJCQZIGAykZAGl0sju9Hkck3Xw6NFiWOquYGF7hmtjdLyDmHM5Pr+F3Sk9k+3QsjU8tvZ6TFMvY5v6A0VDT7Hy1EG+Ou5jMLkY0PkyD6CxLFyES7GTl/bQmZ72cqZ6idDGPs8f2VHUzgnzbkLpnVx1bBcA9kgccmo5VZjDlNXE4WWLWeu5CEmQSKgagymFvFnhxjuGLHzjUIABQ4rtBj0MZIvEKO/t47ydeps1XX8h33eCKmcOHqOBysApKgljEgXWWCVcfwURyGIKw7SMwLLwMioVLxsSVZRP87pWpKt468ljZ2/gf9nOgZlz9g9n/fHsYoVn47z8NZMEgX9fWMo9ZfNXxf3PLHpkjKnH25h6SvdwaJrGxEPNTP6hhURvxtW6+8+PoA1nBpR8Szmqkmao9dRZ21ZVhT/868ezlt0+8Ge+9IweSlpfpavRFrst3P/u1ZSkJ0kl4pjtDtZeny1tXrdhE7klZVz0gRuw5CRmKj23v9XDG7/9LW8+cD+h1Fxg1ZDbQPPTU+TGCrOWXx81IZlWYrBmROtMaWjsTpI+FuDnf36F/bvUswrUmaM6GdGcggK/Qsq6gqRFl124Zn8MR7gcYbpbemKjnX6vgcOz4vZ5p2MWmob6eB8v/+oEn3izHVf0fdy0N0bF+H+tKro5pbH1pMaVhyIs7zhBWaHuFYjgIybrPKyFZpHlVpmf/OibvFW3nQM1RzhQmz173b4yo/r6Ru6TfLv0d7Sam2k39xEXk9hjGuVjIOXWIJjdM9t+4olDvPqRd1M0PkqvVyAUmh+MAkwVdvGnCyb49D/rNM8PND3LS898GoNnP6LRh3Xht/lg8wNZ+wjGcRYZdG7UiOX/DKxXharmXd6/9hY+/ZRK/UD2ctGVqRifjgeYSPczasuEadq8Ixz2HuFHrhiPTpl4ZdzAmaaJGhXGQzMCcxVnZO1ElloYvmABRxcvJW53MOrQQVNeVD+21dLMqzYjn8vP4+kl/zGzX97URnJ8C7La+hqvAhqnSi2cKIfHq67nFXktCfN0ZlfJcmLRUUoHd2AO6Sn2olyA0XY5LdVbSBl0oJcyC7Tl70SOPYU1tI1b9y3j4o53cThyIxPpSgA+XDXJweIelkYzBT9FRdfwCXGQhzf8nAN13bQUj9BaNIxb8WCc9jg2yHUsrrodX1kde2pLqRdqqLTrIGksrbFLGWaxWf/eSwwC9RaJC/wSJSmZIUm//1WmhVyS+05KB3U9nFxfM8v9xzGKOg+wUYpRadZ5MzZJwPpXvDMLjCY0Rb/2WnK5OLWUp63H8CfMXBHcyqp0Ndrk/8MKwOfsnP2fWFRRORzMrjU0OwPpb2Xxdr2zSHQF0NIqSiBBbNzPvvHnGfmX7yOIAqWFDfQOHOeykrtn9qsqXMapwH6e+OYXkGQZQZQQRJGlF1/OBXfcTUqFrz3wCvPlorjSQaqiPSwKTAHLiAYD7Hr0IZLTrmhPUTH7n/kzeYt9FK6cwJy6HFfNIfbsfQiHQ0/xtBdPl3FAo6kmSHvbUwz3ZlRJE5bVLC7cStUbu7li0M0uZ4zNcQNLk5muQrZkKuPGLMNEHD3YwuUoUhxlyA5idgqya3IZCcsYgiZiC1cyaRfJDatUjqUYycm0Wzuc7UXo9errDlcauVOzMnVgnIqxNJ982seRGjM56RAly7bx1bar6EnbWWoRORlTUYCGLSX8zOdjMEfm3dvn99YALO1N4rWOEo4swhMNMWUdYdjZQbVvOQViEkUReWTDBOlpjZtDCwRygxqvrRDZfNLL9+58H/U9nVjiE/S5dBB72NaCS9EBdmOfXrpPdJZiXnYnoR3/RugGhaojIiDyyJc+ztslS/jmGl2dtyQ8zqA9A7BNhU/yWs04IKCKAr+8UqRmSGB5t8K4exY5036SDx17irfLltJcmcKY9yyjnQYkg5OI5SImcgqJRw5T6s94XPpsfZRHMiU/zjSf0ceUaYqakJ7FZTKasVzyDfrEEJ/ZXE111wm+8PphjJWZ0JYqCOzr+TYsAXNCI2EE7YwQ8K6EzBVnKAa/ePsi3pX6HVeHPsLeZAnFFhOn8gzIWpp3RX/OA8X3ZG3fm5egeHrOMGEZpMU1wK7pLLa4nGR/5Z9Y03MbCCpHpUEG/P/B9bZfEDakaKaWGvcpTpWGqK+MEU/pA3DI3UosNUiO/DM8uX7avBZeKzrF+T0ZTaGBsjpA9zpKwBW2IC2qxvKBKxFMU0y4m3lBrcOZCKOJEYYsel+1NJLJriqUrBx3tPJmlT4R8sa8rB5fjUE1YNAyQK8CfSJRYVuEPznGQqFyZl2RQeAdWiFjyT9xXo6AnMyAPxmRlakqkkKaItWDIJuwbPgYqd6d+E1ejDUXcrrHlLwNOIz69bfHFYZTGnYB8mSBnlR2yPbUdMFSWVNxSXDvKgsTaROuiEZum8aYDKm/otD8v23nPDPn7B/KDgYipGZxJS7Pc/4f82X+v5qmaSQ6pwXL0irJvhCJzgBHfW8wFOtEVdMo6RS9A8cxiRbcxgwRz6F4ZjwPSjpNOpkgFY9x6Pmnad+/m0f29XLy0OH5DktjqIVNvt1MvvooYd8kr97/M5pe30brbj3sMNzeisGeovS8UWSLQtr5AmPjzxONdjM6+iwAZo/u1Zp0Jjlc52f34kle7NT1ReLWdQS9H2O3shRDxMqr1hQxEbZZUzxvyYTTBEEfEFUhRdjVjiamCDs7idkGQcxOC3cEFmJMuXAEa7GHahA0icM1uhekYizjRXFFslmiEw6RqFk8fUBObfIQMwrIKtiScH5LnIIVf6LBv4oVQTs3RKHKJNEwvU98hYfdDRZ6Cwy8sSQDdstHX8WQyi42Gqs3EB2rpySgDziDrg4aOx7HaTBxQNvO6ysy3WRvgcC/vUfitRUirywfRxGNfPpjn6e5PPMOHrO1cdyqD1SN0zwTQ+laRHs+6VvPI7JFJXBL5npPAxmAd57KlJ4oSHVh9BwgYcy0/eYykUcuvy7reADN5QLXdO/GVRnDXPwgxaEYDT0WFnSmWTA5Rt7gCUStCL/BP7NPm6uNN4ve5GzW4m7haN5RlqJzrobFKSSbl0J7Db05Tnav2IBr+Xuy9jE7SzhVol9b3CQgK3O9QlFBnlMUNtLgZVh0Y3A1s9B5lOHSLh4/30Fy4QEU8ygBczavracwwwd5ueF+Js8IFR8u2suovYeIrY+4bYgB9zBP+f6dl9jKflbQ31BJqjzF8pQ7a7+0IcyTwjWYBI0lniiLjdlFTRM2Net3dSyPd467WDKxmphtAE1UUOU4/tyjDJv0VH+7YqU6kclezJEFktYRzh/TJwWbRzZjVaxZQEbQNNyafs2VDj0TyihmvB6yICCKMoJkIE+VcZ8hKLlSqWZ9eiGF05lscsEiLGs/QFv1dVitmWsWTQ5EQSCiaDRPgxWvQZwDZGabe/IET5Yb2Zcn4ylw0lmwgM9d4eYDW+zU3jq3OO3fys55Zs7ZP5SdFsm7ucDDHcW5LPr/4JV5rvM5Hm5+mB9s+QGljtK/um3glR6SfSFy39WIEkyghjKhrqm/dJAejTIa65mzn9esz3wFjwEhoaFG09xU8Qn+0v8zUmq2Mu1zP/w2LfY6zg/r9ZB6LOVsuOte1NcfZLStmaXBTKplf3MT3UezO9qaq3twlGTX7DnTSmt+yWHxZ4zk6jMoTYS2gb+ATFZdo7y+GOOz9msxqlzm24XBcj4AipjAl7/vrMdJCxIO/yJMsWwyb9wg0JNvAGIsHE7xxcd87CkZYPlCD2AjIcJz6+3058msd9lm0ud/MzjBXTaRkmQGBNgKmrG0fjD7Hpgl9iyz80Qy4x3aXW9mzC3hCPi4+YX9WAcPMuWxYFvgY6rNzR5DGTapjPOc+ZxgJ0POdrxiFS97dvOTomwF3M6iDIg4UmunbEKl1zPKD2/IDKZd5kwcZnGvxk9vupKuigf4TddXiFfqIDhdoqHYNYbJzji5YPAYP192I1GDhaXjncwnDj/hEnjgsoVAJw19Gi3lAgfqJD7xsXKGbdtBg4pxfbAXVQ0pFkGxOigOTJIQLITkEJ05JwmY9HN5o/gNrGkri3yLGLQNYlJMOJNORmw6Cbjb2o8UMRAXUvzJtIubUqt40P99hEgFkCllEBcUzEYbe2vcgO420VA4XYl5mSXNJc4UD02a+NGoCbeskS9rXONO4XUM8gyXAxothRX0F+Xx65NfZIP/GFvWPUDQrHu67jw4wFUJDz+sLUURQuwve4GwyQ+ASTGxYXQDYUOYinAF2PuZ/TWM5jSjoHu9TpQ1UqIs4LV55vPj5KJNn3VFUuJo6UukNQG3kiHulmuD9AklvMpm7MO1pAxzvX9u0c553Tei5nUiIhBWNGRRxSxI3J3Yyh9Nu/hq74ewp9zsNrRm7XtFfPGMHIRJtHJd+UcwSf95X3c6S+20mTBwKqbQmlBxSwIpTcMiCqia/mQM08cIRgOADUFNk3PqGbqrM891XfP97GvM6OtYo6Nc9tO7uWz692sb7uCb776afH+YJ/Y9z5qyv486/znPzDn7h7LTInkbPXY2uO045yHvKoqKovz1Oi4Av236LS2+Fp7umCspn1bTpKZ1RNSkQmjHAIkOP/FTPuKt03yA6T4jPRpF0dIk1GwgISBQZNX5B7YGL8ZyfYCRRJlqxzIkYe5coiGc6dT2etZy+ZpaLrhNV/c0ahlPRtveXSipbFe9vTj7+GkNEiqosyZZP9rp4UXvZYzkZoBUerrYndauu7UFVcM4ng20Kt0ySvwQmqYfM+DK7nzPtARV2GPumY41Ou1deGa9jVF39jPbMFjK0DFdTv5AnZmWMiNhi8hHywtmuDcqoM7qrSQpieksGhl3tsZ4cSKAIZVCVFU0UaC92Mjijlfw262Mu60kVZWpNrfedkpC8k2wNanrjExZR0jme/llwZ/nbf+0xQwJlnaHcU18/6zb5MRkDtfsZMQ0ymvut4nmZepaJWu1mWrOANd37kDSVLYMHMGgpLi67RjSXI1BjIkWQmY/ANfuUzElNNBgyDKAkNa5EcWTswpVRjMDrUkz4Ug7qCnsmVk2ZZxi0DZIi6eFkzknOew9TLs7k+12wtZGrqZrokSFJC3uA8iuJqTi50kbA2hCmu/WGRlK9DBkGCM8q8jmTbtUJEXDHtO40JGm1Kix0Z6mPyXRFJNpietPuFzuJClpqGg0lVfS4yimxVrKHkc9EyY96GqPR7ls1EZtWOXWAWjPa+dYyRszx6rz15GbyNWBzDymGDIA1y+6GMPLBHOroQP4cKEg0BG/BnvalgVkAOpTGaJ/2NU+p7QEQNI8ScPEKi4c13lV42mVYUlPuRYQuDC5mLXRxTQqpdhnVVs/P1VPsZDhqgmCgFmaq6VzpmmaRtcZntG0ptGa0PtCv6KRO00YnlI0OuKZPjI+dQxTfApNlBmwZkKPpUM7sY0do6w/c59LhnZmHePiPY+ApmGL9NCRyNap+lvaOc/MOfuHsUha4UhoWujuLBlM6ZTCo1/bj2yUuOXf1iCK84egJmOTdAb01O4DIwfmrL/nlXvoDfby9HVPY+pXOe0X9/0pQ9y1LPUSO6b7LybjwyhaGqPBwlVF70NDYzDaTrVjKQCmapeeBz69+/KcrSzP2UpKSRJRAmwb/N2cc9jx7XdiNRlx1tYjGQxZ4KXjQPacXZDUrDTolKmOz3ToEu0X2FPc4EmRUmRePjkG1jKcedlEWWPKCOO6F+XqAxEOxVIggcVuJBZOEpzyAQpaegzBUEJKjszMhPS5YLZbunK4OHNulU38YM1mDAokDfpJqoKGqGVOuMqnpzzrXhvd3trbz4oiKwenOVLOqN75mgWNCx1mDG9/d849O20Lxqf43nc+S9OCer74gU/p5zQ2wOK8yyi3NbBt8AHC6QxJ1Wuw4FLsVMaL6TEP0dKQR0rM3KMfnvhnflj7An2zUqFVUeFCoY2MnCB4JJWpaTE4k6oR/I8Y3zytFFj266wsvNarSznwmg6gblYFNmkh3jrvuywBav3wzAe+zuLoDzlma+OiqdXcOHUp91b/O8ZYG5oIogqLejXOa3FTPuQmZlSQFYGX1o/gnOUokCIhmCXMqqGyxJrmlZB+rxcbZE6k0/Tb+me2GbRlCiiesHZiyL2I4il9wJ6QApwOmnRu0RVz90x8kjeW3TfnOazo0rjqoIIsa4x9V7/6WpOO0NJyIf2aQETpxCImeKFmN6Z4iC8Zn+VIooSHpT5wgzn8OnHHxdSHZaqmn8nKqTT/ts6IY1bS3IVBE/1nnsB/0VzjKzmW8wMWJFeTttj5urCK5drZS34c9n0YCjODetqgAzjPxEr8niY0Sf9Wl1pkahPLAeiytZCjZcJlRbPavy15HklSaIDxvzksp0eO0VYUpYYMEJIFPUvpQFS/53nT4aiJtMbELK0lX7gFjygxUriO0YLVAFQZBSrbHgNgQedTVPa+iKgqSGp2AgZAyfgI1b4Y37vjl/+tc/+fsHOemXP2D2GapvGzvjHSGpSYDJSfpaDkcGeAwHiMycEwJ9/Krmg73ttN56F9dB7ax96+t2eWHxk7wvFxveBe21QbTeNNHBw9yHhsnG+/9g12vfEq2vRgPWAcZcSgz8rs6zKdxlhczxwpq16MUTJjkiwzQAbAWOXCccHcUJZBMuI2emeyFE7beTfeidWkX6NsNFJcq6uiSnJ2R2f35CDKMvYLBzkRk2iKSXQLCzhp2DSzzY6wgaGwlx8e1kMyonkITUxhmAVAiiaMGDQF06EJhKEoPkmf7SfrddDoE5302cqJG4dJWEYQpzvrlCTNAJmkYEVK2XAEMpkbAFVLHsIt+GaADMDeC7L1UUREFBH68/Trs7QHeX5HLxtc+vGdEQVXTAM0yo0Shln5UlHLMBHrIP15+2eWffr4JK5IhI3HD1E/2Mfazl4KpWKqHcuQRSPnF9yAQRPxhGOgaeRrIunhYywN6MP0085MbaqV7SqSJZfPDt41syw/rXvZnsrJcFwu9MM9eRmP1vsKs71bZ1qJPcmJPJ1cu0W0UNZ4FTlWE6rBynCBla+f0rjBdxFliUKu919MVaKEvJQbbbrXrouUYbWUUD7k1u9ZUsKgiFx4KB9BA03QN5RikZnKyD6Tij+njRKDxjJLmlXWNFs90xyieXC/STUQFxMczdszs2x8Hj7FLdLPsgBtvk+ifLSYsgk9cy1do82MNkUGDauokTQtJmlupCMhMZISUFMjxKQIA/EoL41lVKodUw8iJXu5oGMPR5zH2W87gaaFKfY9NbPNvw+n6Wd+MvNskHY2G7MN4ZmSEMM6KHHH6+k5S3sOfx0CArbZWV8CiGkTNsVOfXAFbtVGjmqnVsqo/A5LPk7IZz8XIwZMGLLCRBpz7/XZLBLqYcgY5YTUR0jNAPFiozgDj06nck+kNaYUjeGUynFhkpbyy3H7p71x0++NfeyNmWcqoGFIx0idJTHuu8+8yYWphQwOzJUC+FvZOc/MOfuHsEeGffywV3ehnuexn7W8wNAs2fu3Hm3D5jJRvcLLRH8vD332IzPr0vW5UJ3Z744X7+AnW3/CR9/8KG6Te2b58xMv87zpZT7v+GeWR+r5WOV3MGgyD3V8E2O5EznXTHoyzoQ2BEDlkhVwaO55STZ9Flz81Y0MfXn3nPXrvFcxEGkjrSUpttSwtP6irPWljUvob26iqLaegZaM2u+Siy/njbfv53cGFSZOi44NAX/M2v/Lh/4JNaF7Szy5fSSBEslMhBjjikjxhBG7+Qh7J9bwyrRHO18RqPC10S7Y8GsW/pJ/FdcYT5IrZkIlBiUTBxG1FDmTG7KOe/yGt6g3+HknD/FzPjGz/M38Bq675YNIXQ2MHNRJpIM5MmlZQJyM889Hk7hVM5pf7xwrp8nCojGCU8rm4Xw77ykO2HVdjX9Wg9zku5jV6QISC68g2fYiv/zG5wCwXZaJ5buMXs6fMGAZGqKptBjXyQeJKUkW+gS4WaLVqfNFFveonNei0bSugxt9F/G7He+nKH8ZL7vf5sdFj3Dcpg8Am4MrubK8G9kY5UdlUdy/k/C/d/5Qp31sBWHvUXoFhYhkwQg0ImFMusi3QXNM4YDlLQhtZV14CevCmWKDyyILed2tg7ZliUUYt1wOvT/Mbn+6unLa4UaKBBGVNC8sqCWu6SnLG20pRAHuni4zkNbAIGiktLnf1OLIQg45ThJLH+S58uNc03cNkbidZNKM0ZjJXFnhSTIgGHh92ttz+yEH1rE4hunXI1GbuReiADUmhTE5B8VQQEf8ZQKzVH4fnJxbBy1n5As8VDxnMQBfH4lwKP7uOcvv23wd3n59+ankKS4ZvAQAYzyXpDmjpC0nnXQU17F4vwls06Fa09xzsMftWPyZzCZrpAxVSBOz6wDFmHSzwS7jkhyQXD9n//i05s8jHOWd2rL/UomUXfbDbArPreUF0GpPszAszYCfNxcXoYlhmuhjkZJdLiVXFgirOl9G0TR8aR0mHYoo5BplHOkSTtVnilUKqkLO8WfnHPMvmy7mAWdGbO+25G7e8+JTVGouFvokul7qgZUlc/b7W9g5z8w5+7/SwmmFn/WOMp7UO4AvdWS8LBvPEmIa6Qpw8MWerGX7X2jnwLNPcvil7A9TPjXJmZOej775UQD8Cf+ctvc6jtNkbSMqxQnIYQavSCPIIrl3LcK4zMNERCd9lhTXzz0xWUBTVDRNI3JwZO56YFTUuLDoDirti1njvYJEl34OaV+c0FsDLL/kKhZvvYTNd9zNrV/5Nja3h8bNFyLlOdnTkM+N4a8S93yEmG3rvHM5S9nvQdTDHbJBB0NyspSbcpIs8ZkoHcrnRCpb3dYpj7GwswlPKhOO6VbmVumeuUxS/GVtdtZJm0HnhGxkFzdrf0TW9AFUFSQmycOanwnb9eTrg/Dnhw24pwky0p4JbmkZZdXQKBZvKw0cpcSY3W2dtHTO/H/MmgFapsbrMa+8G9Gpd67KWEb1VdM0LEP67yUDQ6Do59XYryHMypZb1KtxslzgmFXnCB03NZJWUlmptgCLY1VIjsw76n/vPGQXIJ208pep92MKlXHKp7exBAnjrNl4vUWg1hSmxzQ0Z/8l03olNQM2asfzmIgPzNlm5lg2J4pN9wxU9h8kR1K5zZPglhz9mzqc0J+lLEClUQcbdlFjkz2FVdR4X16c0lllJZJSEv90ccH+gUZOHLuM4aHamZIV17hT3JGT4LbISjb5l7MkNsrUu9JMfkAmcone/rSoMgtMKoKWJGWqpz0h0ZH47w1FkirRF7ty5regCSxMF2HI0cHERtc6ygwKQUMQqyxQHF5Aabie3HghuVjw2AIUyDIGLYJBEUnJtox44bRdyyssVtsxBZZwphlnqVXbkzlnVdF90ZDJUOw3TjGODgSjJOgVx+fdB6A4NbeC+D57E/9R9Hsedr00A2SOST1MCrqHLX8qhKZq7AlnvDNeWaB6+ruZIIJXBqsIm+wyGzT9GmRAkfV9nKGeecNJB8obuan9TTzxIFWIlE/PCOU8PVwaLPnPuT3/W3YOzJyz/yvts20DfKNrmPed7NGZ97MGmPnAjKZpPPkfc10ik70v8dYjv6fp9W1z1rnDBj68/MP/pfM5Zm3lZEXGRdzk1IluBq+V+BIVJZ3C5snB4M92dgoGEdIayYEw0UNjBJ7LlqM/bQWqwFdNNqrf+X7Mkm0m9XvidycIvNhNcrePyz7wMYpq6yhtWMwHfvUwV9z7Sb7f/Uv+ZeTD3NPv5Z7BpYRz30vSkpk9LrLoolqiIYSl5DFAIWXSXfi+5ErqzSrXCAK78t9BWMgO3dWOHian5xQLfBkQ4NP+emfVVJ6krVifnR+tMtJBJuR0A0/ybjLcIJkUBtsEBpsuVtZVqO8X7cgQSFOnAtQdN1A6aKZm+X0smCXWBxCQwkSljIfgpDWbgGgo34Dtwi8DkJ7MkFq16PwlJexxqJjFoTwNZk5YO5hSFOIajKsSRSkvebPSehcapNPe+Sx7zm/gI5EPzPzufukbTOZ00Jdu5NSUDmZWnOEg3+k4zKPel/hB0UPsszcxaNIHqV9XG1kSraN4wsym43n0d+9kJNY973UAyB4BwaATgcuGB/igN8F6ewZkvSxcz08SuuptnVlfXm9WuMmT4t9LYjRaVIrc2eHACbN+34YGFjEVyKejYz0TE5lwzBqbwoaFezHl1TPxqRSxDSqJpRldqJ1+/f2pNSkYkp1okpOxlEx7fG78QtIELvNvnLN8ti31LcU3ixC0TKlgc7qRvEELSzjGLc43udepgQCdrnYWJfO50G7mGkM5jZvvZ/GqZ6ne8mNub9cBvl28BEMqk/Z9UfIEKznJ0kQAUTNgFrJrDxlSLj0lUIMidX6OzUG5c0bELppwsaPmcbZ79LDdgDTJq4bjxJkLHABqplO6A5L+DvilEF8p+yWnDANcMqqHKEcFPwcMnTNhwryOo/hHTjKW1jgU0cFJmVGk2qzfYwMG1tolLnEacE2HnSRggUWgelqpOsc3v6jn9x74Hv988gW+sP9Bfo+Na6QqBLMb0V6ApqmU1znm3e9vYefCTOfsb26aptHV/SMk0Uxl5Qfn3eapUf3j3+OPcNVv95Go0dn+Dy2potyScQHff/x+oskYxw52IBe5GLf3sXhkM+85fysTOwb4nfQWgZIUa1o8iAi4aioIdPYy6UwStKbYNbiLq6uv5vnO53nv+PVsCq7k7gVfmnM+k4YAu81HZqo+zyYN9zc3UWypYZP7ZsI7s3k6xgoniQ4/ia4AqeFsfRMFFWnWfOJ6MUhTyo/oPMhRwyk+9K9BjNPaE9EjY6jrXTz/zDNM7dtBh7mPeLHGEnk1VVG9Q3pnb4ojHom91kZMscMssaQRTQo1k/dTFu/nDc/X+Kj9Z/xeVHEpCppLHwRyFvppG8l4VArTAkv8u6mJ6sCrLtLOiFJDk1TFmGpH0QQkIdv/09C4HdGURJOu5y/rVBb1JpmyCZSOArroL00s5XeCPrALmkIhwwgClJz3C44GL6bfey0AL6+0cGv7CdK+YgoaXkJNWVEHy6ne+0NmSwt/v+ghTlozXhlbTOO9r0Q4aPoeqys+nXV+gtGOlFPDYHQKDvwO59TZs7Ea+zR6CgXktIZVWcKUs4ekFOMleiirP8GUKU3BwFXUGgUmNHCmnJhir5IARD/MKlJNR0JEsVfRJa+lLNiKo+QQq7x7Oey/kVafPvi1FDzDHxe8ijm6lXXqFK1T+vvdYe7nlLmb7y2UufNUI28bNZaLApfuL5hpvz2oA/h9y9dy/aCGlupnxD+CwZ5k+aYXeWloA0XPQeFknNwznAatxktJIxHuD7Kl9FUsIiy1ZBPDq0uaYCxDyh43j7MgmK2ou2u4hBu8fTO/NTEN5eWo2aWBAOifKIbcDoqNGu5kEyb/CRZEvkCb7WuYBI3ELK/IL7q+wClLD9vcelh2WaSOykQxf8nJaONUB6tnBvFS1UPRwjcYmRxiiZhkWe8EkQowW5Pk+EWarB2UWfV7G/Pog3V0bCFTnRdgtLajTYJR8ZBKBvTsJA1aAmuRvRP0JbcAEDeP4paaGNUKSYoq9tACXL7FIKjkS3N5fF3iKMekXkyxfEyxfFqL32SFJU2i/jHe3ldFt9wPgt4X/DVzKXZ+Y34du2rmF61fYUT0syGtTxSGRX/2tv4ER6vqWWOWGE/r7RpnJULkCHNDaBc7ZTBPIMbzEIwq+xdIHKm6DAQoSIZY0tTElNvD3o16GLnxxElETUOQDFjO+yQAqr+P7kdfZ+mGr/3Va/nfsnOemXP2N7dItIOenp/R2fU94vHhOeuD6WwX/ZFpILPV4+DSvIxbdyg8xE+P/JTfnvwNBy3b2Vv5FzrzjvCXxT/GsmcIuzHE3sU+WqpCDObrsfDEzY0cWjjFy+tGUCU4On4USZCoT1XzjslLs8IUZ9pINBMiOjZ+jHha9wj0nzzOpsKb52wv51kwN+iu/ESXn9RwtjJuuzTMC4aMN2khZtoOvcJ3Sn7HNvduXnRnsiW0RJrH//w4XX19+PNK2L5ygtbcFHePX5fV5nePxslxbQA03pOnstt4LZcci1Hfmkc1lyA59E58dTzBiCuXOCai6ewZ5a2BOPWho1l80JWmEUykSCMxqdkwGqPU1en1XopLWsjL6+cxh+4FihtFDtWauXlPhDt3hIlO6ETJbwtfnmmvgh6s0yogZvcg1eUvTV+oxk17oqQnqrEVtJLX+CL5y55gVSSFIGUG1aOTf+I1916GjbqLXhWd3LRvMZuaNeqOtJHsyqSSAhgbrsVYuYkSqwdnsGfOswI4Wau7yte26QOAQbHh826iKKjPgDsLj5G/9GmkuucYWvQbGnL096F0cgnB6TIHs4FMQoUetZAvmx+kOr0fgzVA4epHqKSbN7Qqwik7RjHBqgWvscqWZpH3VcIFB6mv0jkxmqDxqvsAtnAtDCW59EiMjp7Hs875NEFUseaR8OSSW6afu7tKT2e6vGgPsjWFpApERjPp2gdYS1owYInFqei4HUu0kPPsaRxnOEiMphTrbRmAM26eGxKRorn0dWfv6Kt6cc52/f2N2CNFDKh6OnSuvYYx92J219egCSaqTSoX2PUQ2DfHApQni1gdbsSkGihI5vLvfR/hDq2K2+L6pOBjg3dmkZYbavcRLn2bwLLfUj58EYo7411oMIqE5MhM6C6ao68bb7qBUP9aIoZCNJNegdsYzwUNDEkPMXUB29jCSFLXYAqYErTbFYKOQeK2YUKuVowpN8ZkDrlGvd+KkSROkjgp3pKbQZVwBuoxJXMYcrZxoyfJWmeC3sK3Z3g0ewxn73dOm1kzsDW1mCo1fwbIgC5m6PItQdDA5ffTU3EzdWaJYqNIhfHsQ/xISqUvOZ0hKAqYk16MosAyWeK5K2/jp7feheKxMVBWxlubN88AGYDmxYsITIc4RYcOrpWJVuS/Uqblf9vOeWbO2f+oveUL8bFTffywvowtOfNMzQD/VEZs7e3d5yMIRs7b+BYmky5otXdaGK+2u5kLdz3Pc5fcxlBhOStmFesDvVLy2ez66ntJmDLeg3F3Ar89xaGm+5ArJNKGWRWXuw/zYM0PUDrHecHz1nzNzViNq4ZQMsRYbIzj48dZ7lzMsvB5cEa5mcLPrEYwSqiRFAH0sgdnyp5OCCGGJT+vcZyLU0vJV528UvjEzPrX7AcZSMbw28c4VLyRuLmO+/oLMasi7265NCujB+BkTGEspWLyORks/wOf0UZmahV15B5mUDvEb3KKQI3SmFDZIboYfuUztKQdIINBgzuHX0FNZnM1VLMVQZYpVEP0qjm8mGzg04ve4DkpjG/BU3woP0YoUkBXejG4M/uZ0pC//DF+l3cdA9OZIQXaMJ/lG5ingUwnNVTSTT5j3JB6gsoXdOKzyd1H2aafzbRlMRTN/J/seJWaE2/yroTAoQUCX/mjii4xn8nTTZx4gvsbj3CJegN1yWqMVVtm1tm2fgEtFSX69g8xr7yblwscjMVe5ok1zfz4PjAm3Nz1Yi5JWcDnLeWeupPYzVEoy/CuIoUHWQp8Wo6RX/Iqp8eM8/f66Cq38ENHPSeDo5RZjHhTzfxizERbUuKidIxrqlQ2h/7CM1zFAk83y2zZGSAFphSnX6hq7VI+2SFzXEqjxVUScT/zWVHIz4ioUtvQz8KFg5jdethCEMBeHMXf4SI8ZCVQ7OT32t30inp9oHzNTJIRvjcmIVktTCoakgBmAT5dqIP1G91JIgosMCnsisz1IHiSHgbbLmP5068SvjZNcoHGVIWe5ZUK5HOyZznPVF5KzGHlyu69TIXilLomEc36OWiCSMq0kAWmQ1zgSHPnkJ9lwXomAafq5L6uL2JUDSCmGW38NZ88MMXF2oUQr2PAeBSANWufJG7OhLNaL70r6xzfkRclPmnkuLWN6kQp0ZwW1JSJmE8H2onQeqxW3TupCiZQrDj99QiajJSyIisWNLQ5ejIJ0xjL3CW4MOPEiobGgDjJAUMnApAWVNBUJnMP8kb5SxjtYzOA0VrYjLntWtryd4M0ztPCPoyagX3evaz2raI2VUKDUkoKBQMS1yZX45wnzLvT3sy68cWsCa2lOtLH6+6FM1lLjnk4PEpgEMlVQkTRiKrAPImhq3wKlYNNqEb9PYzY54b2n/S0c2MihxxNX9cqjlPx2Y/NbexvZOc8M+fsf9R+PzjBcCLF7wcznISxRIqUqjEUT+p/k3uy9tG0JP0DDwCQVFWeG/cDcP22P+KMBHnH8w8gpVNUjKeJ+BNomkY6pbC3/+wKtO5w9hc6kpPgUL3ebtqQ7fkZT40S7Bpjiil6DeNIytxCeACyYmSxZT2L3WsAeL1/D4M7m7EaXExJmVi664pK5FwLksOIXGBFtMkzQMZQZCPv7kUgwJhb99S0mAJESCAjsTaiS5ebVANJKUlOykl5oJ4JzwpqAiplYYF81TUHyIzIKboSKkEVNk9Xlh4TCqkeTZESE7y28EFS4hSoeoffYV3O5p4Jov5ymlW9E2+ITWFL9aCRIGx1oEoSmiyCV+9AC8WMeMn9zXfSFIkwqGi8FZHQzKO8N/gsOdokVi3C1QcixM1J4gub2cP5RDQrVcEu3sfPKWQEN/qgsJ+NdKGHLS4LHMCe0FBFKF3+JGJKP66QkBFNGXGzxKnnAbhmvzYNZOYxNU2fy58ltHfaRHsBkqcKuXwjI7kF/HpVMU+vbEdOC7yxVKKtSD+WMa1hcryA3RyZ28i0lRo1Zk9+lZiG61SCU+FJgqrIFlMXQymBtqT+vF6XLQRCMqdGdb5Mvac9qz1NhVRUwi3q13XzSAVuFcpNGprqn/ccNMCTjJGWYyRcPVjzEohyBjg7pouLhods7NSu4JS0mhgWcuNpVk74+WHRw3TLU3QkBaYUEV9KZiAlEpkOX6rAybjEsZjMOluaI7lHUFHZk5sB/mlLLhFfLrYdIgkV/GmBuAqGwfPoS9YwYC1iwJ3PuN2F0G9DUWTCYh3GdBJZSZM0N1KaMuHwW6mbFEiquqzBLk+SAW8vHtXGqeU/R4orWBSNZbw1E17x5ndhngVkzmbvyk3SbG8hYRskaR8iOLAKNP25aOlMmHU0J4TPKaGKKT0Fe1qETxTSSEBeaAGeKRGrZqJI81BJDh6s0/dKY1DyERUSRIQESTFJVI7S625l0jzBAnOm78l3jSEqZnZUPkufrY9JMcywNIU56mGMMG8bWhkVfLQLOolrPiDzmmsfrTkn0NCIJi0YPI14ZQGjCCmTj6Q5yKSUHToUZBOakqIzqTKQyv5+tOlw16rJKEuGzs7HOm2zlYvj3iWECudPcPhb2DnPzDn7HzNV09gz7VXZ4w+jaBovjge452QPsqCngKJp/ILduM7YNzrNz/jXtgEeH5lCSmdmq8Z0kmtee4yx4JU88HgPW+6oo+fEBG9Jb8Pc8C8AipjtBRnLmav5IaggaQbSUpKfHf8q9piDOw5/iQnbIM8t+hlLu9ZzvHovU3mfxjP+fd5x7HO49ufhNKUQVrzEg51vsbS7hGPe/fwp7yW+o3yOK997Z/YxBAFTtZtYkw7uTNUuzHU5uP9tBb7vvc6Y3c0zKzazYn8H5weK+JehfyIhprh94goWxjNKpstfPEzVyz8gApiW3IaxJpMe+fmlZhr37sSBnsFRPqvm0Zq+OA8u+3bWOZlTNoYin6Q8Oc4rlhQt05ksHtckYc9yJmxOnlhzEUu1w3yOb3Kk6VKYgkIxA9iCCRd2TZ/5bwsa2BY08E+e1/gpLwBwJPw1fnxVHUnhp5yvbeeDwk9hHm5gE0spifiptbWhhnTPXGGpicVHPwtA5+aPY+nIR5BMKMkgVy/5HH9+Zv5MoTPta0O3kTDMzQY5bZalt1EGXNn5Ns8Vp7huZzHOaDaQlcxnr2Z9ptnDaXbuKSR3XIBCBRwCC0wqR2PZwPPnR95HZ1wPE9TlZIOZkYNeRo/ksWbjODucKRqiukfKbomiTukE9MncQoqTEA+PIWgqicIKJFHC6RwBUcUQ9VK967sz3onTxUWjY2buOFzB86s1rhxO87WmOPcVPMOunGzStCro78MJVWQdCp0JERWBrqREV1ICZxddTv179Yf8uJNuAL7+gY9TE+qmZfRBJtIidlHjF75lhJwB3rPnZfZVNiBpKlO+Una/fTsX0M0FdDPucPNcQwMru1fR4priFW7icvIoBRoDvXyytIotvh2M921iOWY28QJBj5+u5EEI5eF2ZaveZj2/cVAydTu5qeEAPRwg2L+akQN3z7tPzJzAiImU0Y8cs2JK6A1omoGbYhfgMAhgqIB5ZITGhACd0yq8YTnMtrLsxINaUwY85BrTtBbrodoD+QfQxjUqwhXkz8oge850hErFS2Nqbl56UFH5UeHDKKJKwDyOM5mLSZTZaJeZKnuNsYY/cD8fYodwEQuDCn/cowM+0ZZH565fEG24kUTwQf7sE7ml6jMAjHOKfBpZOuZjeB6PzZpUDR5/gFe8en8WFDKq42ucy9j55CAbGue9rf/rds4zc87+x6w5HMM/zXcJplX+tW2Ae072ADqQqddO8i5+h4sgCiLjxuUz+/r9B0kpCo8M66GC4tFscananlMI07WMtj/SykvDzxMy6SThSt9iloXPZ23uaq4f3Ig7JDMxXVBRTgtzUrBP2+X7CiiakEETcFhX4TLfgkmxUhKs5fzj5aw8NYzTcAtp6zJciQZcCZ0wa0sY8IZLMSTb8AQV3nTqZOC3K05mtT/VP07PC010M0CHWSdIDtmCNO/r4+QJfQDZX1WLKooctmQ4Hl8e+EAWkAGo3vmHmf+bJh9lwDjKfnsTvyzZw25XhOqUf2a9IayAqrK0pZltRS8SNvuy2nLFvWxoS2EZ83DClAEGhWIQBIG8aIia0X5OprzsSlQSDui8H8U8QJE5Q7jVUtlS8CcGGxBiHppiEoElh0hOC/x9kJ/O/wCAyXgZlQd1z4zV28pAnsSGYKbDF3qvwtKv8xXG42040y5+csdlBB3zZ00YHSkUp8bkvQpGuRqXaufINCDxhU7Ou887IotY3u6eA2QAfKc8xHwZxNyRyEOZ7jZHKERNZ4BKwfEY5QMCICOJq9CQ8fg1uiYllHgRyam1JCa20hnPpO8njTrvoHWshO6EyHi7HpotG7KxKlI5U3wwT3GhqPq9T1gcTJSWkvAWo1gdpFz683G59Vmx1ae3X3T8/Vh89XiDGzDYUmiqiGNQ49a+FF9riqOhZZFpz7TtYQM9CZE3QgZyo2dOP3Tb782EessmuhlSdjOR1u9PWBWYUFWKg/p3uq6nhbxIkNNEF2H6Lz/kp3ZKYHzpAcbG9LBPu6i34TT8EaMpyCrXLq4a385dwZcBGHdaCIV1rpfLNYag6COvIepFSGW4QZ77ZMa334q/63yUlJl03EF4ZBFDe94/7/UEHUkWR/xcGyhBMGYT9u3i/GGb2XZS6kcTdMHJSVu2l0JAo2b6e0tM6+pM1bw8s94Yz3DXNKAvJ5+YwciwOJXVznGpF19a5TmTQFF8ugioo4VqUwZ9jDX8gTbq2CHoYdt2h0jnrCKZBdF+qgzHcFkFPI4oo7V/Ipx3lEPjr6NoCkOzjpk7qwhskeqhxNpA/qiegRgVEnRObEeZ6tF/ezJih39rOwdmztn/mL3tz/74HxrKCFPVaG18kS9xOToxsJnFfDz1RU5UbUcULaRSPg6MZ0hw5fO4ONXpujN97hZ21DwKQGGwistb7+H9eZ/gy/vuxtzSh9+R8UyMlt+PMs/s3BGWKJgyszhYxbKhrZT4LseRyCj6LhzVBwSfRSe91Y6tzNq/dGohJtWILBsYMeqzlINT2dWuR+87irprnLvTn+QjVd+mVe7jL9v28ObvO9j5lD6IBcwSaOmZKstntbQ+AxrKgS+8R+aemq/y5bJf8qzzYTzBnxLOy6iRJlW4veUF2vpcHEvM1b0pDujgIZbIdj9bhEyndcmpQ9R3/4h9nSZQpwfUZB7LzS1IFv3ZpCMZ1cElkVq+0vtx7Ec+xG8nTBxP6/fCqMQ5m01pHm7bGSU2UYOmSBhsPnqXZ093TyWvQIrqYOa4uZ1LBi+hQHHz0lVXok6LjqVFIwMeffacDBlQ7RpCaTmiZiGpxGk/9Rq3Vn2JO9b+fN7zmAh0srQze7A+Ue2f+b/18Wqeeq2Qj/dbebxNphldb0QJOFlxcII/Hq/morcm6O7XwwCf+vCdtDR8goj7Vva8baQ9biHa/TESIzeSHL8scxAxyv2TRn7ZtIK+to38pteGOh0eFSeMNIYzz07TNLSU/s64pwf6VG4h0Yo6EHVAlevUPQK/9up6Qc6RDZQf/BeKWt5LMcsBGI/385lT+j3uM84NCbijEkWT+n0dTon8aMxMZ0LiXW/n0jDVMGf7kDHE68WvA1AQCsx4bE7bcWsHovqfe9I2tx/n5MgGYtOFSYdFP6IwxAIO8g3ti1iXdbO0ei8GUW+r01CCpkmYTBHcyTwsU7qnyzl0Ph27f0nfA9+g+ENGJpV1TI5dzMjB9zBy4C4Gdn2Ygbc+nnXsvrJMv9O8IpcyzUOOauF6LdvFkCf/58Nlv6yHT92qGYMhexZVaNCwS6AoMqem9IlRrkPvI+8cu5qG4Qtmtu3IL+XFJRt5edE6EkLmOz0kd7Hf0MEfrEl+eJGT1uov6vfL1Yxt+vRUKc44Xr4q/PvMfpog8KOVPSg+HRBLeQuxpqJcXvBZqiuX46/aRnfNfbi0ciYTQzMAat2evayJ6ARfgyaRq9mRJCMXNw3hCOie2jdLFfqb7kONTrKyLlur6m9p58JM5+ysFosNMDT0KBUV7ycQOEw01ktpybvOqlx5ugik1ygzntQ/QKsW4SqeIZ9sV3AnOmfgWz2T/NK0GCXezrtb4pyetW3sm07HvORKjr2qAyA11U/Y7uTFhkwNmLxIKRVGgcrWSSZCg4zkzBo8NahI+5DVOvzoM4kSdQOV4QR7vdXAAdbFL2ZkombOtRjtV+FkLRc0j1McMJAbXJO1vii8gHf2LaPZlvFUMGTlVz/+I7FFo3R2drHJsjBr5rujtIfwyDqcATCGjCTtMiGLFznRwaBpjD97f8cFkSSvWQu5ZeJqdjuO8oJnJ9cNr2ZpQuerHK2ee+/jyTaik//MkZJXqArV4AnWcHBc91yoiWKSvg2kQ0vwRAsptJ5i1fBaAHqNiZn7fYVxbjhl68RGxqVswmNBvADZ1oUSqyIxchMl45djLvkza8J6x18YrsGuWOhKTnKl+hT2wBP8Km1isz1Ft09ifcyDeqyAcs9JXrNchjc6iqbkEfNVYfV2cJFvEsiUfbhyOA0OfVA/kDdOQTIDTPdeci0bDx7nUOVNeDofpbfsEuyRQcY8yzG9JFDgijIRH0CQiriq5SbeXvYjPlv+Q1ZE6rl98goAphKjHJ14bc61X1wVZqTLPfM7b8gOdUFG3UG2DcjE7UamRttwi1buahvlUOlCvr7hIwhrzLTW6ANrzHk5j658hPRs2ftZZq3U32NvzItZNVM6luFtpMMydXHdSzMm+zDFUqCk0AQBxWKb01ZJyQmsLn1gHAtsY8LQQF7KxqgxTkHSTL6ljN7IScZifTDtADhuywzieX6NtW0am1pEnlmnMjwrj/uelxTWHe9gwl5FS7bAMwB+o5+kmMSoGlk/tp69+Xt17wTwiqePDdH5r/9Mi7dllGOjQpKIdIwRr4lQjg7WessslA7r3/fQlJ555nKNYA6X4um7lEB4J5b+S/nOJjuuxhx+cN1PuWNHFMe0hEtoYK6S7vaabexecRsX2GN4LCK39yZZrJSjahrtSRWMCiQlEBTyZhW11QC/AUIGgReKDYRkgZBBwDDmQEieYHtOD5PGDJG+MuXkI8V6JljMX4xhIBfyxskNVLN5uAZUL9vWplg4YscTC3OiWL9no65cnl6+ib7ht7lhsJRf1toZ9FzAuEN/iFGjFbPoZsjVT96E/sxGczr5Mt+ac60nLJW0SdtooAY5r47CnQ8w5TrBZKEd8zIj7X1XEHGvoVYTmRT0/iZ/YhLv0nrWpIZxazakaa6e5KnEHgkTcunv6FBJMYfHjxM/VsuKS/5Lj/t/3M6BmXN2Vjt67L1Eo51Eoz2MjeupszbrAnJy5gpZKZrG3oAOZj5bVchnWvVZ5D9xH+uZK99/lIyn46X4Qk5xHcr0wHpn6jcIkzE0ROouqKekroEXf/Z91PQAzzVuz2pnUWAJy60yRNOMx/sYKcrM7N2x5UyGX+Ynnev4RKWe5vzj9puxqRa+5jYx5jmAOTwXyJy2IF6W9ANkZpY7qh/jgq5bKQ3W0oCZbe7pGk8aXNz+HtIpJ9t4igF3K9vLss+1RRpmlV8CNCRNJmAqAkHCmNCBxE2JbVxbnoMqHMcvxXk+RydYNi1o5yEDWO1VNNVHmJ21c9r2lL3I8eLt7Ac+sOfHTM4qaJcY1dO3J4CJ6Eou0/TPvtscAs3JOrmXtVVv0dub7X3yJD1oooxyRpwuxzjE6YT6LsWGt/cu1tr0cxIRWRytZa/jOBb/n3kzrHt1TldHdgxdBl5QTlkw1RsIeprJHd1IdLwOq7eDpVP6dqN1f6CgNcM/0pQUUxYbBbO0xfpzzPRuvQNLoBjRv4bO8ov180u+SnegCWW6wrdoXIgr7uVej8befX08tKEdt+LgCv/5vDL0wJx7CVBQFSLd6GOiWQ/hOGKZrnJA8/FISAarjHSilNxJBz+84Uuk5bkkA1WwkI5Wz1luLnkYyaQD7NxELmIixor+7Ow/OaUPho/mvcSWMf2+WLwJwmK2h8DumKC65ggAsaSRjsQgh6zHuCywkWfcz/P+sZvJN+thS19imLSaRBb1zB6A5eF6Sk718q7tIUQtyfknBfbV68erG9C45KheE+vynZ38YcM8Q4agi+kVR4spjhZTE6zBkXJwJO8I5nh47vb/RWspbMXWkAknpiW9UtBgYgnBiO7BcbtHsA9djylcSn7b7Xy33kTEIBDJn9bikeYXRwSYdHSzd8UNKJLA3kYLb72eOVdJEGiLqzjKDxLqW4ej9AC5wQ2cDma8VCTzpaWWOW2uSubQJ2b3d8+3/JShVT8gKumeMEegjkumrqIl1MNI53q8wO6yfI6UL2DC7uD6U28QM2aqaI+6cnnRdTldrh5OFVXOOWaOuoWA8RkGjKOUJAr4So2XgJAJWd2i/YG/cDMhwcWeugQNIyBNK/bKgX4aAnDod9X8vO4CFhgNbBFjaALYgyEc5iJEycQyJfu4UsFSKnoeY7hYD3P5cnLQuttpHfLy97JzYOaczWuaphKN6l6H00AG4MjRd2E05rF61ZNYLJkZ9IlwjGBaxS6KWB/r43dbWkklXsAezc5c8ndvpGt4AVLu48hVd5A2VdPMIjqEupltikf60VSRkM3Jz0MJhoR8lgGaOkZSysRyb0z8E27TYj642MLdew7xgusFTlXqM4rKYSsD5TdC4if8orCT5ZE6zjduxqbqHdAqn8Kj591LeabeJHvLn+O20EZ6prK5ILOt1buPdX1XY07beCmQ5kCFHnKp9y3HOq0cWhJYiKQaWDR6Hm/W/JGYIcyWztuoH1/PbAJPY3cVO+oV7up9kUXJCfJSMVRBP/ZpIDNz3FKBXWtkDpXNBTIAx4u3z/z/TMMviY7ccdZrMJkhFlcYmwY8hWKI4vbb6DVma12MzyL8zrZC0mTUgTRqDL2MJK2cZvl8eeADPJr7MrV95TQX/YEJgx8AayqTjdFWn3nePu/bLHt7N+k6AwV+3f3e7+89rbUHwEl5gPpA5ZxzGRanKJdLODUNZAACCZ2fNBrrRRQEJMtqZIsP89QkN+wyUj2kUTnxJ/bUZ2tibC54B0l3L9HyPQiCSPGGMYJ9dpJhIwICC/vstJVnD85CwsS2zdfNATLiZBypO0yyYCVKVAfMpfFBpopbUKxDGBzNLPItoiBWgKzJGHwDGKer+Ml2hXRY4mRHFyf5DppczFhMv+PusiBXBzYyMXiYxxcYuS5azbDlycy1CylA5jcFT3LE1sJO5xGO2FpoGLVR1pMmJcv8KPZNysasCIkwwjK4+OUW8ietKIKIqKmsa9P4p5clogaBC09kPJ1GBdyp9+BIxqgMDtOVV86g4RH9uMYAxVF9YKv312NUjRzNa8Ub0wfVsLuGxcOTPFHnZdjwJiaxEcXYwM09L+A2OhicyvCSbPZJIuFc+gU7s4OkaYPIrwtcyDlBYqemJfjlOBM1T3FEbuEt29WMRgVu2p3kuTU2bn47hCN29tBQ0hAlJemgYfnU3FBYefUeymxxct0GCG0CQc/s+uhKMz7T/O2O5VbBFKSMNUTc78Due4hA+WtEczN8rbLx9VhSboYmM/3nkFsHAcOuXGzV/QTn8b7NB2QAZMMqlsd2cmT953ll8LsccmUmaFe1tfFezUDzwlOcYDmnyq1owyqiNRfrps8S3fV90BRWtXTxC8sJxioaeMV4DID88TH68xZQd8bxmqZ2MprsoWXlJlz+MZLuHCby8th4YDv2pe+c9xz/FnaOM3PO5rVI5OwcjmRyglOtX8hatns6xFQ6mmSk1Y9p6gtzgAyAHPoEHbU+Jq1tFPueA6CLzMfn0SbpHtZnsv3FVTwQKOKVlEQyx6tXN/bpnc+SvCW8c9ltfO88OwdyJDqGnmV/YwboNPZUMZ5rQVImaLf0sfG8i3j/PR8laNQHjPWTCuvGMjPhFu9e7NYES9XZQ2i2+c1jqKLCsEMHeWmg0r8YURVZPJDxrRYHF3BF6z2U+xvZ0Hs9+eHyaSAz127aHeTTU61cEYly2HyW1CxgT73AjpoMj0jQoHyqkaVjF87ZdsCQBG3+9HKANklhxBogjYSJFA2qmQkpdNbtIZtD7VUaWO09CkCuEKVeHqdJ7iVCZuC7bfJyVkUa+eDIrZn94vPP2jRRoF+sxeSrRdQMRNMhug6JnHSeTg3W2GvKcDGuTGY8SD4hPKOpAWDUAkTSemgsmJrAn0ojiDas+a3YWsGc1gfrAl+K8aR/Zr9i60KKrNXEtzyIWN0GooooazTKmVDBxhO5c8jk7eVujjdmhyABjAcnkSYTpHovQp0maX57+2/JN7+KwX6SsqiH+kA9nqQH0mmM/owHoTAvltVWQecIAZ/ukrKXhIl52igoPI860yLK1Fzy3Zn3/ukpHVSFpRg7XIdQBZVe8zCLD7aSH9TbLRvTQWXNkJ38KRMrOxUqfSEMaoYgWjFm4Yb9cVyzMp5bqhfQXnMxhxuuoXDCydHqy0gZdAjba88QP02qCQEBQa6eeeabQjlcLKxicaSXpLoPv/YMhnSKSDiPC4YvYsqW8SRUVOgV7P3+QrQz7vdoiRmn5ETTREymMH5/CQlXD5EF7eQN7mfTySSN/UkuPxyhZlQPdU86RN5aZM5qJy2kmHRlhr9NE3P5Q2XOELn9l2YtO+ES2es10Oacv3z0qNWCpDnw53+elHkRJvcXGK//08x6MWXFHNTvWWyyEgBFEBh26ZOYtCSz17tyTrt/zYZcedT0b6HWrPHLBZVZ697/6KPkdl/O8gkdrA04Spkw6N+HlLsAuSjDcSk5/BAd00AGIH90jFfzMl5FDQ1fYphm/26eWdrIwxdfyv3mS0loEmmDAaPTyuUrMgDtb23nPDP/D1gkrbBmbzO+lMK7i3P5j7rsiqqaqvHMD4+gpFW2vquIBz6hM/1LzvPgXTw1X5P4fDvp6PgOqu89bH+klScucIBHpHQwiWT2z7uPJNqwukzU7NnM4cX7SGjNePveBUDxuBmb9Xbuqn+AXUPrAOgrrkJQ/FR1/RQL7wXzEQp9r9BdVsib5o/QExghbhAoG+xhwpVNHH3suo8iJQ9yZeWVfPDEjfRuU7lT7eDXn1zJ+MMvYX3+Bc6ru4M+wGhK8uLqZXzwjbU8ewYp9rR5ZYHFFNDVezUByzhM35bcaDHeSDk50YyoW0G4cub/vEgJRclMbZ63qv5MT04TNx//DNaUk/yAxpvJD7DVdR8HzNkdLoA7YcdvCvPG8ux5x4dfv4OoYxlj9l6O52cyodKRGmJ99wDgNA4RTOoD6UqDgCsm8aacpklQqDGqoEGlEOeS9BKeNulZKZcklzIo+miWswsYuj0XsHxknB2mZoqDEisVJ3cLaQ6YMnWbBsRR6tTsLKzaeDnLOlX+7c8q+9bl0nMW+kR7bR3tLYBZJ5PKxYs4FniBQ5JI0pgNzIpVDzcn1vOEaS8hMc4Ltp24g4uIBR/DbirMblgLEA/8hhyLHeOB7Hs4bHXiDkzRYymnxns5ipytVSKkTZi9cfBnlt31UgXeO9rYlRRpG7KxvC1O2L2Hw0t0Moln6HNoqkycD+k7RHTgUBIeIzceZEWnSIFPQyleQ9ICq8TnqYxHeGUWoL/QKPHQ7PNQVdJxCUFWsebHiSZaiDu7KV/wDLOLMnjul9ksQMcloMwaawVNo7FPoy83xpn58fk+E7I6V0enfjBz0S319bQvrOXxNdPAWdP4xVW3ARAo+DyW8E6Mk39mZ/5ONo1tmtnvhnZ9Tq8KCssjurDa1PQZS8oUV/jhjsQWZCSS3lU82qBR2b8f4bCMaEmTSlnYtfNO7ij5HeGElb9M3K6fj6QDO4djEr9fn3yUm7ppNtxI4bSDZUlvhg82ZRXZu9DMjsVWysdS2CIxGgfiPL32PAB+djDK+knd0/PbaiNF8QRXDgnk9lw1577szM8eMh/eE6EkqpIWBN650cqEWWSk4hcz60esDjq0Wr4sTMsjGKF+ncIplwTcBYAhnSItZdrdKW4B4IK+Pq7tFnmgJkFTaeb9uOXA6whoyIrCH9ddStBqx2d18C4hI7gJ8KW3BnnvBz+EzWDgnWNm8MKQ1EjaeQymS2kc2HARK548PP2cBNRprpNLtdK4+GOMyQaudL+OVvQkIc+7scibeNfL72X1oJvcoI9XnUZ+v+Ea/YCeFTQ8eJhbfzC3IOffws55Zv4fsDd9IXwp/St/aGiSqJItlDQxGGao3c9od5DtDz44s3zw7UK06UwWVZGwWnWUnlRhIi3Q23c/r/7+BImkQrtdwBNWqBxNYvVm171RkhbQHDTU/YK2faPY4h7W9V2NOq0Ca0xbCDhNbHntZYQRlbwxnSw85JVxj/+By05dh0GzYLBspHyynKrxNeRPRumaHuM2HdrFSG7GKxB2vYO42Yox0cxN7muR+5PUTKUJdfppGh8gumMHiSXvZjCpf7gnRJXlnQasf6Vyb4VBo8oksnRyOceLts8sLwxVUTG5GJH5Z2o5sSKW9eiz5bSY5FT+XqLGIMcLd8xs0xy7jF61lLesOpjJmU5vt6dl3nN4bibWRU0NqOZlGFQTBeFKRHWalKcaiA1keCYVSppcK+Ql/Jxc7WGNWQd8rbLKnmnPzSpkJsQQYSGOoAkUqx4q1GwPSi1u3jEsU6NlgMKINMkB05Gs7Q6rTYjiDlQ0poQwGhretIdPv1WLv6ye/nJdBTgu6s/KEj270FnaaiNqMc0BMutTOnHcrdkwTJPMk0Iag6MbxaiQnB7ohBmdexXUIEq8GWOnQEqWmXK7iVotkAJVkul21vC8GmHKfCDrWNapelILoXhdNnndMmRnnU2hZsCGKaWy7MR+hGASR/fPkRKTaBNzNUEaQ7pX7YqDKltbbCQtDkRFYd3QIL5IJkS1zns1idRX8C6cCzBsBVFESSNUuJfJBc9krRPiEuZjAhubNdZ3mPn0mzbWxp1c3GZi4QBY43B4wVxhlPUtJqIGmfSs2j1nWtnAEDGDnYHcAry+cV1caNo00UrMvpm4wcyUdXTm2c62kBxCRWVS9rPXkXln7LFm5OnvpiAygd/m4ER1DU/Uj6EYTl+/QO/gIg73Z0CSMp2GHQ3lEI26SSVNSJKCIGW8O+KsGk+HFptJTCsb9uUbaKmw8/y6zLv8ueUZ7stzpSrpM+W8Z9khTzaYaQiqONOQk9JYHJg/a2sGyEybDmQylpL140ma/j4rgn6MFcIJzovbWdPTimFad+tdHWFu9ldQGImzse4vFMV1j9Kzy87PavO9UztYF7ORF7YyaQrxXHISkxYjLDjY35CZgBQYDBgbdE7diQV1KNPVUhu1IkSjgwtFM+68V9EwELddwJTFTHt5AZ4YRMMCydWZIp/3La1AiP39RPPOgZn/B+xAILtjPHTG78HWjPdltDeT1WJ0JBFE/SPSElVsWP8qF13YyWNTRr45bKYrIWJy9zPikSjwp7n3hQCFfhVrfjb3YuLktdSVvkl8MpPa2TC2kWXDWwC4pvlebjv6b9T4IhR9W0RSFMLmNGLk+2w9VU5eNOO6zJfey9XN53HPtrGZZWUjPQxPZzF5EhcTc+kFCw3xU8QGM/yXnx+KUfSbIXZ7r2VHOD1D610YM3NRW3YnVWqY1WFrGlOxozjkl/iY532Y0lZ+s/YzKIKCI5HLymE9xKShMWWZSzi0JvW2JyreRJ1OLT1amp1B8+Tkf9Bp0Dvpb//RRlN3H3v6u7iy52jWdht7bmXZ4GYUSQ9JyapxxhO0eGgzqJmOuT6aw8TaIgauXcRdnU8xKh3GhN5hTk1rmC9D5SWjPsB4NQcGZApUV9ZgsDihZ+eICEja2buMiNnCs/E+jtPOk6Z9tEpDaGi8csFatp23DEXSO/GXS15in6uVa599jnc89mcMf6XN2daQLmGxUk5090/Yv+ObdEmZZzvoCBKtXsRgeT6KyYJZypZfT40IiAmBfevX8crll/HctdciVdQQWbic1TkhFEsvPw9nfxemUDmiu4j85T5y6vwzy6OjZioDKkWTOvjMC4zj2dlLqu16wm1fJTF6/Zxz927tQ3FqlE7CWL4OUHMnJ2FMYiDqBmBd3lVU2nUF6LpGL8vf34KjLMPRSXh18J+ex/NpGS5E0AS+/Q6Z90r/wkWF3+Wr3d/mXsNH+fofFJ5bJ/DsxswkZjBPB5Ipycr2xgqOVJw9vGoPB7l822tsPrKfK3fvmLNeEy1Mlv6ca8IpfOa5nK4pk59D9mburP38zMwfoMOU6SeUlP4Opg3lqKJtJsUZYBfr6bfMDV9cPbwN79g4/oB+7pbIXC2c7efbuXHsDJVoUZwBNwARWZiJHhqNbbhS8wtTKQKcnBWaWuzPBi8LQ3+9WOR/Zlt5NXOKmsJqxy5kJMpTVv7p7Rf4t91HWbD9V1SrBbzDVI7bPcpK814A4sZMiPpCbRtbR/opQOLf+jqwjn2GUeevWYjOEfu6/X18brlevX5BvJx0/YUcvOx9fOyTX2ZPzWKGrENIUuYe/LHj25ikRhD1PqMnXwdfB1Y5wZD97cZunpsx9reyc2DmH9D6YgmeHfOjnRlQnraJZJof9Yzw5IgPTdPm6L/sPuP3UO8RrAUn0bQ0MX+mE7EXZ2bOormTaMhPSk1xKCqjIfCTMTOHKl+gMz/NBU2BGREsebrgWmJyDYGu1Vj2mLGZkrzxcHb674be63HEc/BGyjCoJnoW3IM5DRN5Ir6iFawauJxFo9kzjtMmGAr4zIMPsKr5GAK5lEa34o4WsLxTB1/euMoP3R9h4FR2mCykQuwsInqnzSXBSuVJTEl9X00ZY2fBMTyGXwKwPOknLSUZn8UTAN0b8GbNn4idZWI3ZPVn/X6u4RdoaLTnHdTTzQUo9Gm4B8OM+ivojS8lMmbkE0/r97MsvpTGkTUkrHqsRk7pg+/q/ison2qkZJaLv9jYS3ksl4RJpGgyTSJoQxDAKiSzzqHDlPGitdh0npSMhEvRQZFJM8zUXgG4Kjk3nt+vZLhHI85i2lJ6m63SIAflLqJnHPOiTjfrm04SKs9DNNgwa/NIjZ5huaqDVeka/AP7edlsYXvpcvakKufdNplbRNDlIOnOmxmkpsacHCioZbB0/ph+heTnDTagadB8dB0vH3svya4rsPp0AF68LgOewy02jp5ajGdWyYyS+OCcNj15Og8pJy/AppK9xBfrg91YgQ5m8sfG6BkqZTSu3998S/nMvgWndA/bafVegOZIdg2n2aYkl/DKCgElr4ziVMabZ45XoRZ5eORCHUhuXzFO0hBm0j2OMZUZjMedNvpKs4nv496Mh84VHuerv/4RRxYumlm2NJTtgW3xfpjDuUcJy5n+JSZHaMpp4gHnI3PO+bi1jcO2FjpN/bSbjiGlhkAQCeX8E8dmEWbPZi2jRiyBEAF/IROTpbiC+oQmZtSB+KBHojausj9nfq/pbOuyiXy65lmElI8V85CBAaISKKLAKl+ajeNpvnE8RogMv+mOniQrfZkwdY32nxePnG0Xs42chH7sajoQXK0EC/axMl1NiZJLd2qYcHqKU/59RKerfjeQfZ8ETeMW/khLctoTn/fSTJq8L5x5Xq8XfIwJ0wQSIk1F2/nM9VsBkKzlrE/WUR/PjgcvSeicv4VBhRxDih31HYSLp/sIRePfj8X4aGucUM9/XgLhf8vOgZl/QLv+SAfvO9nDk6Pz81nuOdnNt7tHuLelj1/1j3MyrH9w/1Klu1ZngxtFSWOq+iTlF/wIo/2YXhxGsCKZVmSBGUHU6G7dTvNkc9axdplbac15CGck09kP7rmLZDiX3rfuxPhkFfUn/sTL39tDNJA9qAFUTC3O/JDLaVvwDkrVT7DQfwlrBq74q/ehcizGvzz4EAbXrawevILbjn2e85t0gPHbIwkW7crngrFsDsxEOnv2JKWyQx1/XP51bPa7KMt/mCK73lHEXUmGnBn3+YUpfeAacmbLwAM4Eg4eXd88ZzlAl9ST9XvQ3cqL9ffxeu3DjDr0dY19esezq/tWXh/+MOmozLpWkQ/t+i4fa/5nZM2AYtA7kbKBNxBUhZJgLVt7r2FE1q+thCh3jNXTWmJEUjTufiNT6bhsup4NgJckcTWD7BLhYa5o+BCfcT1CIqYPZPmKe1bIBvI1FxcmZz0zQFRCKLM8OUGHzhMZF0Mck7OvuVYp5IOHarlldwpH3wRybi2Vqj74muJxbn30sTn3bc3OF7j4z78h9cy9fFtI8IOVt/JszSaiGHk8vnTO9mlXDvGCYhJFlSRzdS6Tpgg8tO7qOdvOtnwxzJv9m/j+2B08Prqcj6nKjJru60mBw5v05x3XTGwfy5YnKIkPzWnvkvodxC8rwbDSjFFKkarWa1yf9szkj40Rd5WhIWCX3VjlDCiUEx4KfnMRjhL9/ZRUlaKRBG3xTJftGsiA1/ypNTx6iYNl0TNzT0BYevnM/z1FUdZ0jdIwqJATySYaH1iU2W7b4ipqz4/hd2bAX8JgoKVKF1x8+Euf4OX972fR1PaZ9W/lbyLi3spLFXu474Lr+dXmaxHHOklKSXpdGYL5pf4NyKqMzxDg38p/yoerv0WruQdDXJ/sJK1ryLddxKulf8k6P1VKYDLpfVdcjNNUdwV9tTXsNGyi5eRWIp4jRIwaR6t0L8UT59n5XY2ZNwr12cU9HdlhtvKIwtoJvX/YXhhn+4I76DRvJWQQSM4TdXuhWG/n7q4kPzkcozSm8YJnnEFR90adUhJ860CEg9tCHNwW4rr4zqz9zdsGkRQdZKzpbuEDO57ho4/9ZmZ9Kf2s8enf8NKUTngfXvZLcmwB6gJmSlr01MtjU9vpMOv1yerIniDevft5IskI2w065+2Y7J9ZF4lkg6tDefr7NmjQMwGdSY3f7o9xaXjtnGtfHqlF1DT+uCfKj4+pDFZnPDCfPJXg0pE07+5JYZlWC/972DkC8D+QaZrGd3tGGEroM7QPt/QhCwJ7AxE+XVlInlGero+kz+bMWoyJjk/zS44xJtZykefHfLsb9gci/KBrmNVt95EyZmTya666j1RMItRbQuyNkplZYTLkxegY5+j2R+lJXIPN6yJi0j04jSPnYUpbyYlmczvUZ5YjCiqCmua5TVdjS2c66rcqH2Nzj57lsnwoOxtnuPi8ea99R9XTVI96MQpFFER0MtxI+a2MlGdvVzUcwBmNUhzMzK7SaoqIJtObUAnGQiDpaY9FY4cYzp/+KFO9vN6wg6Blgk2S3ultcf2OZ6Iybxcf4ZvRTFHLa8MRgqJItzkze4kaBaxJjeLgAkxKL6CLyKWFFLJmICUm8Vl07oWsyqRFvRPt92SnB3tjy9iz9lrk8KuIMR2EDHjtBO0TNMsRDAl9MIk4uji60oIm7MAaSWFIlNDr1OPXefIUA84Ur62s5SN7D+DLzwy0y+QhNARCmoHLCJCYLmjo07qpbUshRHNYGDkPk6ADXzVRwJBRJZAKkG9ykSuL5KW8VChegu5ONuRu44kTn+I5m4PrTX99Nt2QLmFNegFCXoj0+Cliteez3z5Bs3mKRSGR5W/o5N/02JtMGc9HNXQzVujnlsEM+N5VomdfSGqaCyZ3kp8cZ8TbSKEhjCCl0YzZGWHR3BImwxqF2hTnW+cCjtl2mbGNp1qvmfk9goY0tpqXD3+A56ZKMCkytcbncCSn2DKpD1R+2Yk7HWRJqJmy2ABv5Z5Pr7WCiydep+xYD2yEPioJY0eqDbNn4wbiRgPm/nbanUbsNhsQI988zSfqeRPJ6CKUmMRwbBcek0rvijHcXXacJaU8NDnIde4kctJBfMJJk9HMvb6rsQZrWOKsZUm0ds51OS1b2RzsYkmkFufx5ynx+SnYr9GfE2fEnfG6WUb28tLaq/nj1VtYkziBu+t7/Pman/DeP36DB6+5maRsIGUwkOf3UTI+QvurZXx/oIfbbgrgt+shnqmc2zEbdCCcExwlP7YBmJUZKZXx8sK7Mfh8kM54CtKiQm7IwOA0P/lI/i0Ycy7jFfs4l546oT9LyYSY0J+vWTXPTMUX9GUmUtGcnTgEF8crFtPQuouA08OpBUsxKRp3dyURgV8t0Ns4b0LBndTYnyfzeHkmFfqW82x8rSnIRaMZ4HjKofLThSYETWOZX2FMCLDT0EI4FuFNg4H6dBlfVvK4D5nT/i3r2CpuKn+UYf/lrGsRuB+Vaw9vpye3kGUDOjBubDnCRbueZUtRmsrRr/KRVIKKiMqm3D0zFeiPmh4mafRQvH6U+JQJl8eBs1ifGCYOVPDx6l/xsnglFUNDGNMK+5u20uHdxw9d96OaB2emIoZkO/e2B/h5rf6s3spxctlgnJt6DaweD7MnLxsOpEyThKQoOdEybh6yEjRlJqOP7Y7iMwpsz5e5cSDjMYxZJvl72Tkw8w9kx0IxftCTTUb8QLPuiRiIJ/nD0mpaIxkPwu08xAZ0NO9QjxDs+jx26VOEFZVtPS+ybBaQOW0Gi0JOfR/GqUGSdgVVge3Ry7nU8TCp8FLcI0WsSlzOWzWPYU942Nx9y7znmpisoG7yT5xcfA+zFRMihgDdnr14IxU0jK/HnvTMu/9s21f2PHVdb/DMRr1zKZuq56pTH5x326Crhvv3HYJp+XYAxlvZaazVyW3TQGZ182+IqyrD+auwRYY55P0e7V4RNA2zrH+0NmmKOxzfwarZqFIy7n4ReHcwxBcqB6FTHzy2rbByw74IxYFaLCmdBLev/DmOF23nnn3fZ9TRjSoqGBQjtcEFNHvm994YDe8gZnWB9Q7ksQ8DsH9BEMXVQQxwpFxogkLMNgjTvJeAUcbp72MYfUAsFoO8cF4t17S3Ek9nBnBLpJSU0ceq6Vnb6XmqoBioaJ0AQWDhgAOTy4EgStgiFSSBA2kFsKOIGrkyjKY0ovEG8vJGMDTlYVPK8WsJdqWqON8wv5s5v/kwZvoxVtej5tVhWfchXp56HCWcItrlZM9SjY3xBIrByDPVtYQnNiKaKlka/9VMZzxhzgDilYGjLArrQNA9tAefIYf85BjhhtVZx9VEkX5LKc68TMjENNxLoig76+q0XWJo5clkJl31tyR4fEIHpnGg01zK8mTGI3rQvYqLJ3SVZ3c6yLWjL/Lm4q3UTo6SPC7hWexjypnDKaWB1d4DjNXmYu7qwxAOELCZCaBzrLzTIaZ0++ukImMzFNTmUDFvFo0TbryJan8FYfWbPOIzAUnu7XmB5lwrzUEn1cCycB1Logvmva5/HfwnACL1haiHv4esgjcYpaUke7uI0MeAt4QBSqhOD1GXfp0v3Pst9i3KzBqWtzYjAGogjWnvNu5rPcht//6zmfVxhz7TN6e7cSTKcIfBP42ZJgr/FU2yYLU1YgtkwIwqGBgsyg4pJ2UXXQUuuscnqJoc4WjZEs7vbJr3+mZbgT+Am9dYePQkaUmmo7KBwjgYNbinM8nzxQYGrSIXj5wehE1MzBKpS0gCvy73c9FoxsvwodVOEpIAmsa2QgMTkwcz1yukeFGcIKDk8jBJPo/uObVN1dGZ5+U3+yU+SQSvGCYnGiInqnupiuNmQnlWVp7Yz6WhTyGJMoVovK8zSTB8AcNufXIg5o5SsHKW0vhplaekmZ7DAobD/dxjeYXu6hzSCHgiJVSaK3ml+CizHUwbg8u4VniNp9LrGJZLOTQr/FYR1ajoyw5jTix4mkjeMXJ26LXV3tud7VnPSWpZQAbg4hVb//rD+V+0c2DmH8RawjEuP3T2GOxrk0EK3zzKUof+IQnAYo5nbeOb2sX3acJOYJ4Wsi25QaElJvKrCTPwJPuHzFw9tRAzuo7KxQfyMQuLsvY5WbALRUyzdHgLU+5aCkf3Za2Py2GeWvIDFEFjyNVOw7T2iqCmOVjwA1aNf3Zm2wT9iLE9HF8Q52jJYVq8AvmhCjZ1v4M95dnu59l2qv5dLOs4CrM8NvvL8lHGMrMsSUlgCR8lJbupb30EW6SDp6YjJ9WpNHYxOxR1wyxiaI92JVFLJ43xVi7w7+cTV1yHqGoErSIaGp54AZ64TkgMm8dRxDQPr/wKkemimPmRYrwx74yk/Gm7uGUz7uQ6urFxzJ7g2oiRTQNemhqvQcjNANiQO9uTc9p6nV4SSQMyCnlChK3dveSEA1mFfaWUFauWYNIQRVZF0tPXKWoyNZMGQrmbCeYsn9m+NtpDu7Vy5ndXQiWkaEyk9dCUv3MrTeFq8uwit4aNvDCr+KMjEJyROt+0fQddDoleyzgrlRSixYNidqL49I6wPtJG81Aln3mPSnEyn3hC97ypiUKcCQ/ffEeMCafMwqaV3DL4BHty1lEcz8j2GbQ0BUl9dq6pGsKszByDoBKy5aEZMsRsORJA7mxCE0QW3tiLoso0Hdf1RBxikrvMBziUKqVJKeJZsjvwIXMRy4OZAbVr1v05bd9L3MeT1kuRgwHKhnqYcubQklzCavMBXK4RouG5YoQT8QHaAgeZWuBgY1sAd0x/cqXjKjfsq0AxTPLb6y9jY+u7abfoids/X2Xl22MT2FJHgM1cGtiARTMRFeNY1blp/gC26EL67kyTLtJw7UhzWV4uL3mvQjyqt2mNRxBUFU0U+X3JDfgM7jltrBzL7oeG8+avTK7Emogrqwj1fYBUyT6EvAk0SX9HUsYGYkP6YGouegJECwgixtgRXOM/YEFwMbnpdbyy+DzerF/FyeDUf6nG02nrSMtUAbKSpmi0H6ck8Ly9nSvD6/n1/ijDFoFlfpU2aRRZqcxKjXakNP5wMANkbt1oJTjNw8kLDmYBGYAx1c4rKT289yIpChF5LyYuGU3jCkT5jfkAU8UNvOPYHkLeHCyxOGullZRqOWwzHeHa4ruQRJm0lkIWdBjrHF3LsX3Pkr9uIIs3Ndvs/gZW5JzHEd/rjMS6ESYV8OjPwpPw0I0+scgbrWJFb4SFCTPdm57j42Nv8rninzFhnp9l8ka+zNOlBm7M7eIz4gMc5K9rUJ2259Jv4N9ex7+un+sd/FvYOc7M/+WmaRopVZvxwJw281lSKY+HYgiawucrc8ibJZChaaCpEjZ1bkeqqeIccSpgGsjolojkYU7oH7g7nk/JRB6F4exZ4Ii9jf1lL6AICnFLHkNF2YVcDpe8RsTkJyWrDNkzrmc50UvFcD/N+Rk53oXtf+HSfTu4+dUDgEDcJLBsaCveSBmLRs9j2J6Z1SWkKC/W3z/z+5hz+TQ5WiEiKTxclT39dIR6MUQ1coNTFA/vxhUcY22rhoDKmvjZCyMCfKFwgE/XvQ+ANaEmJh0CY26ZuFEkaMn+nJwpHSycBjIAzlghC+IKmqbfc00TWd2mculhmbxoMXvNKYZklRPGNP2lVzOSv4KFUhT1LKRlVdOf7YiqDxL5QhhJ0Fjgm4TULKK3BlFrN4t8EQQNzOlMg/bgAuKu9VlAxhYepHT/f2CQ9s9ugrG0xmyoF7LrHo7ytEReJMmoakdQRdbv3YucSlE8OEjxyAg5kThpAdTIOKqmMp7IJsw29vbQnyuwr9g3o5graCBPLmQ4x0JdXy556UkKkuNcP/I8ucm57mwNeCOtd6QHUqX0K7o73WvNDIJiLIKYSiImE4TLDDick7hco9js2e2tMgwgzogHZGx2Vk2PpZyEZCaesylrm6FgLmmL7oqo6NMH/hMsAVXCaRuBMwZlAZHO0FGmkrpH73BlJm24anSU29/o5M5tz2GLRthTexHnN2cY5m9LVtzTYncWTQ+fmNTZNYTmvjjJlU5SVRoT79FwGv+Z769fSP8sddnCcf3ZZAEZTUPQNCRVo86R/V1/6uPZApqnt6/tOcwxcwi/UEly4kLito0z69KpStKB1aQDq1ETXiQlhqCmcI3/AFSR+skaSvx+qiaGSEoyQ+48Sv3jcw6jzvY96J2c7l0NZrKqqvvbWdTbwUgqyoQQJC+hsMyv37O3DCcoDGQ/+9t6k8jTt+3VAplOR+Z+bmnPFhPVNHglld0PPjRrCrE2XohFM3L+4CkGSvR3p/7kCYoSZiyCibV5V2CR9XdlMj7IQFp/B3aNPsXAMSfphIhkmP/jt/oaqHVmuCsGXybclpuYFnjUoHE4RMmEhXBohKEDuUT3mPiUohehvK9mLvn+W40m9nhlfijok8uf1f7nBP29lpOM2DRMsf8a8PnfsL+7Z+Zb3/oWTz31FKdOncJisbBx40a+853vUFeXIbLdddddPDhL/wRg3bp17N279299un9z+1bXMD+ZFRMGeHRZNRvddhbubMoicAIYtQS/4J+wdOvdsJI2YUo9zET/M4wc1V2A1Vf8G0aH3mbrU+tRU3ehJPeDupOCSAjvh0ZIn/H9FAez0bZkKEMyZIvvXffmJNvWxhm39VEYrmK4YF0WWh5ytiNoIg98P0nYOkVH/Rgxaz4lo23kqBpHGzpYO3EeSy0SexZ8iJEyPwlzDu/fC08t/sHMORQHa3l45ZeoHzDTVSyQFhO4ItknvC8yyArvv/OodgObTlYAGX6LJTa3UyydgOvcKdaXiviOG9gbWsqbuT18d1zv6DRN5ITyc45ZvsXlLeNEBTNuJUxjpJOTdv28phwSrliGcNxtmesSXzF4KaOeIcKnrkYwTKGlnFy58+fkKK00eF/nu6nvALDLkmbXwkb04MaVkIDrjU24Z+l4LIiv44uayvlKOyNGHczUBfvBi14oTtAF165+7nlE2UJrVQm7Ghq5IrmCV6VDgIhzsgFjysOkNzs8I3vGSZVqVLZ10F6jEwLX7f08+xbGEDCj5cwtZFeWlnklWcf6wgPc9I4LufZ3f0GcHmi9cYF1VZ/BFx/m1Z4fMLve1WkzNH2OKaPusiqJDXL9yHO8nbOBBU3nUx7pADJkbZt6JsyAKYOHftXDn+IrSCABAmVSgGpZB5NSIoilVx+MPMsDLFmje7kEAZYvf5m3d2WXgMgVIoxr+n39BVbKELlGhF9W/DNmIc3UlnLu7lK4Q1tP2r6MFv9e2oIHOTKah0vuIg1U9OvciAFLOQVv/A5zahej7Mo6jlmyElMywDNulNGAM6cry9tbuOeZP9FeEGdXoz7APpdrxaPUc/us2yHN0kkRxbfR1OzwzYK3fkTPhi9SeuBfaHfoX+jjV9/FTS88SMVQN3c+/Sseu+Zu+kpm1S0TBF7YHiY3oeGRX+Z7n7yD23/wCIoooopz58SrOhJcMPjv/DE3CaioSS9oDTj3D5CYErKurWj8Qjal09DzAs8We/B1fY4/AQulMa44uAPrknWs68kQXV+rX8WAJx9VELhiROHTzVFkJI5NvkFnUBeAmy0NePWpXrYU3sY+QzvPmg6yJbmIBaoOGI2aTLF/goGcAlzxJM/vSrBvVvil2565tlsOvD4TIgKIGYz8hRrSicz9/pQ0yuOaEdRMSPSOhA52U4k0j5h2YggHGYv3Yzd4KLZm7nE45Wcg0ElxwQ2szruCBxPd1Az34aqcv76VxVdPUoC0ICFrClIyjq3jOJEFS3GmnFzXex1+o5/8yQ5SDjfx0gWkh7oxBCYRHlMoym/Gb+3mt1YD18QaydemS0QYx4EChgS9f3+wykhJVOOGQd2TeuLCj/D9IScf67uT5dMV7Y3+SjypYpa/9++nAPx398zs2LGDe++9l7179/Lqq6+STqe59NJLiUSyXWuXX345w8PDM38vvvji3+mM/3amadocILPeZWOTx4FRFPnzshoqzEau8mb0FRo4gWXWfDLuq+TEc4EZIAMw0XwVqiIzdnwxqfAyBEFCMixDTdfg8NmxvyLSe4aAXHFAn32kp93uBssWBFE/rjmnC4QjTNpFVnbAkEvvwE+3MGEZYMjRyaR1iOphDUsavEGV8v7XsUaGKRzZS+2QgFNKYDaHORlX0ASRhFn3BOXIvdx06g4saX0GY0nbyY9U0FGiEDeESUspPv5MnPK+jHbLAssL7NLWoCEStfejSDEssXHkZBclg6/Mudfr2jQ29ahIUwIjBSYOmszssFo4DU0S6mKazOOsGV+DKZVij0fnVZzvP8Qi7RgLtFZeWpWpPbRzwSuMehegCplZTc3ECpyJXJ5M6jEwLeUBJH6z7DpqKpo4yhls5jOsNZ1JnTX7R/ixFkUTYKdcS6+q36s1o83IqdTMSJg/NoY1FiOtJTjV2IgqwBvGE6RkEQUVY2pa9ErIft41g09hHBApGjqEI9CNd+wImmRly/EkW48Hqe56Zs75FYouFERa/LWMLPsTtgVXIk2DmeKKKwE4PvUWs4HMlJx5d9f6D1IcG8KsxLlx5FlENDb5dtNsrycuzJ0dSqKBktJMhtIr3osASCADAoM5eVnbO0yjCNMuyPzaSSRRQ1T036KoohYOZ21fJOoDVx4CS5DwIPI9LOSLRmKrSlHMRs4PqsiCiFmyUWpbOLOvko4hAPZ0mgK/H4AHy6B7JOORWuq5ALvswWnwMuItJmEwkrY60Oy5jFVlh3ABPvvQfVSMDLGxXcU4a7axNLpwzrYAacM+htwnmDJA6gxkVHL448hpGwenB25FkumsyFRCunL73FDuSUuU8Wg3g7Gb+NLgAzxx4YW8umo9gj+huwhTKkJQ7x/qBpO0FxgYmRXtWnwkhOrLBjJliDgiGcn8/JFMRlWbkk/I7qChq4uIZkBK56GpJuRYkrjRRNJgZP24hgUjsibOAJkZky0UWCrZWnQ7giCwPr0Qp2qZATIAZWouC8cGyAkHuL4vgkWBFVOZCcmfy3WgUjvanwVkAJ6vW088lCFQn+89xkp7lDLRz2fIzpIEMCBTknIyUWzmiMk/Z/1z1jEO5Ip0KX5eETQuHn2O8NAsxmEol8FQIad8C+gYWUpPuIi3SHGw8MaZTcRUEjGuH1vWZPISeVhUG/FSvf+OF1ehygYGDJWUpyEvlUJTo+wwNBMgSH/1g5T5snmZmiCwp+Y4MXsfQ+UvMPy2jdrjMrXxSgD65XGGY0YMaTtHTvz9RPP+7p6Zl19+Oev373//e/Lz8zl06BCbN2+eWW4ymSgsLDxz9/+/to7oXMXOZ1ZmPCRr3Xb2bWic+X3n8S5yJ7KJpXFfJSETOGY1Fehehq/VgmxegWjQw06CaMXouIk+p0LVMx+jP+aElRFq+02sO1kAXv24kiCCpm8PYMntoOKi7zC0z8uYL4+ScSOvr2ln5aAuJBc2TjFib2fx+FaWjGymoi8jvV8yvIuSYX2Waqy7mnd0XUlvMtvDkid3cWvepxhNLuAJ33dnlm/puJ2/LP4xAB/Jj1N4cS2uB5/GX7SGoMGFSxomTEakz+c9QHVXEwfXLUFxNLJ1W3YhR4CyX+od1/+Pvb8Oj+u81r/xz957mDWSRsxkmZnigJPYDjXYQNOkTYqnjKdtTpm5TemUm1KSpk3DjHYc2zHLJGbWCEbDtOH3xx5rNJbSnvd6v23P9/d25fIVzcxmeJ617nWve01/W+HhokFkQSSolpMvDpNUVyAkrFTKlYy4vezzrOGSmYNsM77IBfwFgJ84P8SXb9afWUNqM3njT+Zsf0fXHWgopNTciTnislHgi/Baupm/ZXYtxBf4PgCaG36dzC1drxGn8S/P1Yfw+f0kTSaevCo76ScEPcJSVSPCOfH/+qPfxBUenPtsUBKY0hEmfWuY9K1hw+Gv4YyOUD34PCFXDVMFqxA0BVt0nFJHKaIGMwkvU/F8ajNcCmnZNViqdHRgPgIB8GTR5WwRX6RuaJLGaDeN0YXl7tdOPLHo9SiyV1O842cUmvRJZrKzhT/168+doQAm1lTCK1nF2byCMaawIVlkLHlJBFXjon3TvHSB7vQMyF72JDbwNuNLqJKTYjHMSQXWIM1dpxDwJaeb2wot2GWNnlCC5RkittdcwrkmIHJh0MafPTA19AwTcZ3HIAkGlrg30ezZzLd4hj/vupE37n+OgoxUwO4KaC6qY+Vrj81tyxXLVBdeo/CN6jQfHbZhUc00xasX7NcstvD5FUaeLPzPue+efylMXoavaUzqjvFZEuib+1O8UJrdji2eDSaXzyqc9kh09NyLP6QjlecXfQbb9F/oLajFfHAKny1Cef8IR31NJHeWct9FGWQiYce8ZxwBOJ1M5sBNPgTux4Ffs/Ko2okggpzMVU8eUb3sTtexBgM/ws4hYlx996e48u57QFU5z58GQWRv+gTn2qryN7BEyH0frk3llh37VDcD+TaCNhfvGtC5hG5ZICnC9osdpCQBsyxzSfvRuXX21BTQVrkNcSyGKRM4CmjcXv4qicIOlp+4nJ9P1PAN4nyK3M7aRSYvX73qnfQW1bHstThLMkJ7lxEiWHwh6XUF9B/dzfmH9cAsMpoNkPY/7eLXng8CEk5N5cuCwA6M7LDU8s7yt3DpsM57MqaCJC3Z9WR7bguLWE0zA+FNbFUm58LeoBjj0dkHMb84ScHWMGdLsnzpEb5v+CBY4HH7TkJ+H5bJO9kQfg17mZWkmuCX5gOsQx+Lop0L56x/lv3LkZlzLRjUHyivN7defffu3fh8PhobG3nnO9+J3+9fbHUAkskkoVAo59//jTZfD8ZlEPnr6rq/sTR8pXSaq3lk7nN4ZBVj7VdxpOEcMqBgw2BZA4AouXJ+UjWJl9/wBg7WFVM9swJbrBQjeThSeWgoCFqu/2vx6oPzWU2a1po1TNpHUAQ9uhl1dbN8UkeFtg5cx46T55RPAFp+HcH6qxY4MhYhyM0FHwOgyNTNCttTaKIe+dnSLhqnNnBx121Mv/puwuEyQiVrWWY8ynbXTyi2nGKK3Gfo2Hrd8fPnldB5UTmzt8jENusowazDyMOXNhG0G1EnDLgMGmsjzSjpDxJVthNVrmRY1NMVo54C9nky18+Xzc2/hV+zQ3uKfG2SvEiuk+5Kugiv/CWJytwWAAAjFLJXW8MBdemC3+bbSa2WZ5T17FWWM6j5SJ8Ti6w9p58SQP7kFPvP27rgewB7PKv6qmkplOjLjNkjKBm5+hlPE61NtzFdkO21cmTdJ0gZ9WhxScf9FI0fojB6CIEQJgRKFH1IaZ9pIGrR+Ta2Br3HTUpNEkrn8hO2Nr+AXPY/j+bidgsuYwKnPU5z1VKeMm1jOnOfG4pa5pZL59nQBIEXmtejCALT5Ub6S5rIWxrEuE3gNeE8mo+nCGhOfnriTl4cPJ9XRzbzEcNfuELQuVs+MYKIyjAqfyk18LhpGnP0p7x3jc5Nsc+kOKZlo3hJMLCx4Iqc45W1FMu6TrBzzyMs78we34bym/hxo5m7lgr8edeNAHOOzFmbKffRWXs5g+VZ+QKxoAln/u3YA0t4a57MJ0buwIDEtGGWtDn7LIpiO08WXpizvXdstCHP+6wAxzLy/IM2kVunvKQq9L5okpzkmq4pfnUwxrKggisUIC+UvXdHAi8DApXT/VQbh1g2eJQxpxN5qSen3QEWCYsl9zmVgDdj4l4yYoFIXJ7ewLb0EqoU3bF8A0beh5lt6eW8Cws7MqmzVVh5281f5J2/fZq37G3nWUFmUFNQTW2szb+UemdW1PFcRwbAdM47U68U89apk3ypZQCzKpHOoIan3BIpST+PN7ZkG+aqxgQdZbpDJAay5PCNTacQ8nVtmIb8EdYahniaNE+eQyB3U0JPcR2aKPLbggj3Vhr5ppQgAkhTScSxGK+tuwjBvJyWVW9lt/ktdLTVsrtlMy/k34hWbEUDzhOMrJ93Lrcn/Ozxnsfp4mYqV+cGBMlzum1rBhObjVOkTbmFIGFpGrNoZd14Fg0qn9a3lU6bCAV9gIBoFeeq76biQ9SMZO+3bPl/p4L8/8b+5cjMfNM0jY9+9KNs27aN5cuzwlyXX345N954I1VVVfT19fHZz36Wiy++mKNHj2I2L+w0/PWvf50vfvGL/8xD/4fYWaXeT9QU89Hqv41KaZpKz8lb5j53P/EN5Fg+T22wUzWph2MKCSQsCMK52fhcO+hJc03rBwF4eHUf4pDOM5AMUVQ51/mxF+m5bHtxDEQNWQwQsRcx4eyjNNTAuLOPxqlsV+HWFZ+iaPf7EAC/08bR2lKuq/5PXg4ubPB4Wd63cz5f4PolgYSLYbZhUi1sGbgWgFsL3k+ecYTj669hjV0vI+ygFu0cX12Vsrnw48XnsXbdNPYLgqg2eLjgPGxiOQ9dUcANnXtYvs7IXUMfIAWk0rqT8bNVk1zRmWTUU4Df4SEt5V5HJxHu4Nfs5Gn+nA7RP++3bclqNix7jRcHLRBamEL4oXIzA1oxEirvkR7lx8p12Ehxk+UEmgYPppYS1ez8R/qjANxluO+cLWgYxGxzvbM2XFGBv2hxqXpbPPtMpWMvoKba6SnKIy2JLBmP0LL6gwvW0UQDZ5a+jTUnfoQpHWapy8nLtiyiVCmLjBhU2gMNxPIfxyVm+QRTiSHmt522+eJ4fQfIm74RjZZFj/FcW+6e5lr3MaLKRXyr0cDvhXfQpi3nw3ybStcwLlEmpBpIFegDcrevnG5fNo9/0fkvsFvQS4dDah3b1b0cmVjDkYk1FIqzfMjwMKoGf9GuwirIFAhRThf5OL7CClRz6fR2QlZ92JwJJBhkBjADKveR4FbnCkZiXYzEskTRSPejZIu9dfvZmnqeLzVl1gVTeqGgZMqQYrhSR9Qqh18Cgxn7to/BMHiGt2OvfpL8iL7lbmcrnvW/oOn53wLQ6Z5dsL0Bh8QXl5v58mk9eu5yikSMAkY1xV6fiWuH01xouIjnzYPMJMe47UQXpkXMZQABAABJREFUNc7lhIxwOp5bch/PELBFTeMNnTpytjzcyvdK1yzYr7ncQbI7ezxvxczbyB23yzUXKC6+CNiI8clzEI25bSFQHTLxh5KVXBY28F1jgjwE/qheitull99rqEyfQzB/PTNjZHXo2rnPCUHBqElz6bcdZw7hjE4jCyL3bLuSD+4PsyooctwL4ox+HW9f/Wf2+HYhoY+zLs8YKw3jrDSM89vEar6OkWulIT6uLKMiYcGuCEQN8EJjES8AolvFdEq//6aTAZJOIwc2XsMBMYkhFOX44AdJCSKp84vQbAaWxKb4TOicec+5lJMZnMWcUPl7OYy4Y2jBd2OuAJdzC7VaHb+IKEw7JGo6+qAIgsEizo4taVOIIqseWPsTg9hCrSiOZlYWucm/9l/TZBL+lzkz73//+zl58iSvvppLkLv55pvn/l6+fDnr16+nqqqKJ598kuuvv/7czXDXXXfx0Y9+dO5zKBSioqJiwXL/m03TNPYHdGdm6zxhq/mmqir/+XwH95qSfFoYZ35cL8fyOVNhQlI1VvXrL4rE4uWa59qmoWxKwptawlhZIZWzoCoiBcsfQUk6CQ1uQDJFGX71g5icI1Rc8EPKzxunVBYYO2lld+2fKA82ETcuZLefbC6iUfFzTCrBY/IxfS7bGPBKUGZaKMJWpx4Gk50rPN+iN7mJ3cH3kGfQB6419myevw99AquRp0gbUgyzsPnf4OBKpmbKwGfkLChrk8r5cmUT44kBTto65/gIf639K7siI7SvWsGYtQCbFuXIKjfL2sIMVFhxdKr4xlO0XmjHZxtlJGUFBMrMBjT5YnYue0Q/rjF9EHhz4DlqC8c5odXzmLKVw7Ie6TQhslM6yRFhDWViJgUogFUaxGr08aE1P0NWDfzx+JtAhrdKz9JtFJhJaVjPQaIAuhuzaUmf6sKp2eiRxlFQMch2TK5RUqFS1FS25HuwwM1Y1Ztfp3UmBPKWIEtmzix9G9PzHBlH2VEqJlZzAGgbX87+ERnDRg+eicdoKimj3fESTEC7o5HCkimWbX6NidEmfJEyzjSEyU/1IgxknwVx5wjRrnr6JyvQEBmzFJF0TFOffDserYrDbh3ROcMKVEREQeUT1S9xOLiRB1xlNGmtVCt9PGvIdj8+68gA/KloO4bQbOaTRnSDj28deiPjMQdV0hgBVyErGEb2eTir1vNCfhblemP6p9xteZq4sg4BlV75Qp4U6qgrDeGYqSUQk/Ensim7s/a7G96Lv1BPTUmqwvb2Y9RPZiffSqWAQWmKgJZkZ2kL38orYXDNVdw8tJ1vNlu4dSDF0pCa09W5qKidpAAR68/R0hqfTl0CcRmsuUP8y0VG+npTPFpu5I8ZpVw0uDrxCD9cvpWjox7illrq28aYTAxS41zO+ZMK+4Qe/idWMjHEcGkuIuKvs2OciSMoKnKlg4s6YrDQd5uzWzTDAvazosocnX6OCnsTl9rKuRYTT6Tb+c7sCJsLLwMhm0pZX7CLfkc3ZIDtSe8rjHarrPJe9HeP355pwOqcPMFFsoHaKf3OB6w2XCeCHI+m+eYJAzeuN5OM6gFYMs9OM9n0vuSYxGhMkE5bWIXIGBBTykijYETi1j0z3LvVwxvHZT7YmUIBvoKB5zO4mRhIsa9AxNSip/rSgoa55HFQl5NkG2vmBfCDKZXjMYUqswBWSK3M45GS2ynP92NUZHa1ZqsRTUE/KXduGb0oW7BHqtlXsoeoPUFRpkXIVw8N8AtvPyu6piD5ftrMWRQnbZ6lX/DwJzWOImhUAOnIXzGWn+CppzysWP73tYD+Efa/Js30gQ98gMcee4yXX36Z8tfpn3LWSkpKqKqqouucMrmzZjabcblcOf/+b7POWJKptIxVFFjjsi26zInhEPea9OjgqJrt+Bvo2o4GPLHBzpVHX78z8f/EtnQk8ST1gcLsmaZg6ZMUrfkTmiaSCuscgVS4jNGDb6dg6Sy+lQGWG1VC1ilai/dRPb0QhbCXlLN27Qht1SsptFTN6ZbMt5XWxdOIrrwg13i/hFFM0GTdwwXuny+6XH/GmZmJbOZGdXGy+NRkNSgLGymtn1pPShP4ZNXdAPib7mN5/eNsqpjklFVvYnkTf6SxN0rxZJL1LbMsi4QodCSoOxpnICmS1gScosa7CjXeWqzD1KoKbRki9Q1Fr/J2wzM0irkpltWYeEi8giWGSZyifm9FWcaXGODdK++h1DFBpWuE61bojtsu8TD38ltKffq7MGWeosOd2zPnrO1IrSI/47YpqgkBAVfFYUTjwuqudPSJnN5fSweexCBnn6W2ptuYzs9ta2ByTFKVjiJpUBIaQE22kIrvxh9rY2/PC0QyDU77rZWUrZ7AaFMw+JfTbZhAEFQqLugnr14fNKt3DLOyJkTl1lFeKLyEFwu3kyi3kpJMPG4aIC3KtJr0exwT7AxQDUB5xV6CZfpzuYxTvIXfLHotAFKVTl4S9LREU80UM55CfrrxbTyw8o10eDPbM0VIOhYJAtQUBxynkQGrdBSLdJwLpRPMGE9zqfFBrir6HQlloS7Ui1uvwF+YdayXjfTmODIznkp2plfhVm0ggJaoJlreSIF8HffXFvBMqZGfNixEoxXfKeSEg6FALb/WyugNFy1wZACuHEtTE9O4bp7YWVoycSy8kwGTj/uqTRyv0R3uLkWP3n9bbSTf3w/A45fetEixd9YqR3UEZ+1LU5gOZZ+r9IYC5AY3aqmNJ+ep7S5mVYuSvQ0MRzt4ZeJBLsbIDoy8X07rjswiVp2RjZhseICpNb+hN5zV3FK110+FiAhoaCSTYyyZGJzzqepdp4j745xERkopXN+iB2maQ6LH2MRSTudsp8A1hVkzcl4GYTotJjBmwgOnrLHjWJAPdp4NMuHz2OaCB3EmiaklmzI0OM9g9uzDNfNz0GTWyELmPDSOx/S02EBSY43Hjlqiv9/DXh99haVE87JTfK1JwDGUW1gTE9NYEj7cM+sRnA7smZYaa1Nedh3cy/lF17PPtJCm8YgY5q+kecS7ca48vrWnCZf2t6Ut/pH2L3dmNE3j/e9/Pw899BAvvfQSNTUL85zn2vT0NENDQ5SULCTc/f+L7QvoL8t6tx1zpvRRSas8evdx/vLHM2w/1M47evTBZrv2HLfzWwBOJTcyfOZGBgoSVEwtbEynqAsF836/8vVb3psUcMU1VDRshdlJsvHaj2CwZXPo8alG2v/8S2Y6L6bUk+LaPaXsPORj5aw+MK52/ARHgT6gDKpv4yfjD7PGWMWYq5GBVCbCsY4xUP4Yf1nxLYrM+rKK5uHz7jfwVZc+OJWbcgnOzdaXFxxze2Iz45qeWpFS+SSjXgrQj3W51MMudr/u+Z41b0ZT5/Lm9/ITx27C0QLe+spxxvdcyPieC9kaPkr+rH59pXlj46BF5f5xfTBecVrDOxmmiCnKjn4U7eibmcWJjQQWQeMH3ElQ1DkCoqDwn+t/yCU7/4Paumw09QF+w83yhVxeNUGtOxvlN3u7uK7ucdaKuhOzY0bXmwgapqlpHVsgiOUxq1gx4dCmqex4jtJxHVEZDztIJc86VLlYjKbOkLD4CXiP89pKI6bKB5AySNukb2HDyfBIGUr4Qa6ZeJYdUwvvS3xKH9gnbD7q3P207L0TWTYzKY/yVF0HT0Vlyi8Yo/H6Pjy1GZVU+zjOzD6XeLs4/4J7aVj5NC0l4ySEbCriqa5reEi7iU+ZP8PzxXp591JOg6R3IF7MDKrKmKLf51mnnqKIe+yUFVh5abXOHREEuPHYbs7rOkFBeJY3HXyenWcO8ubXHkSSXbSZshPvmwwvc5eQda7vqM2SRn2WSjZXr2S0Xi+BL5md4k0Hn+P83lyHp63Qw8dMo9hVDwDPm06yvmeY5SFtjqzb4pGQ5yEXXQ3fQ7YEcLRG6fTHeDa5Hs24+NC+bka/FlUxjcKE/uC+tTfJcKE+CfoCo8wWe1EFEUN8lt+N/IbUvp/hjgRRBJGeqiVM5utJjMmibBWSmkldV4z2YXrNT2s6iXBOLzYxT79Wx725zspRbWGKeTErsFQgIGBX9eVrHH8/pWFIeBElSKlxZjPCiifkWd5S/Guedr246DoCAuWJtUxYspV2lb5OvrDlG9yx6ldMb/sEI269e7iSb+EY62hAHxtPofcKE+snuTa1gXXoLRBGVRv+jELTWgyEIwvH5q9Lz2Egxe1Dw+xiGNE8irP5U6ywtHPL8U/jjZbgG3wbq0Mq+yIyzyZze/N9eByaQrnP+omynVyWWs0NyU1U20sYKSxk0JnVppm2TGEW4PM08Kv+L819LwoSN1R/lNbZA5iHOhDSKWy9Z0hPTvHbxAb2ydl7P2XS2cKhtIVpR26A88+0f7kz8773vY8//vGP3HfffTidTsbHxxkfHyce1/N/kUiEj3/84xw4cID+/n52797NG97wBgoKCrjuuuv+xUf/j7Oz5N/z5qWYelvHGGqf4bfxMG3RBCMomLUE7yA7gD5guoFOn41DjSPUTGRfGE3NRNVKLlIjozGiyjy60U5KTHDGl5vim1tOTGErzB14C5Y9vmA5f8ubsPlkimULy5VdJBV9kogWdOJd/mzOsmqogXTUh6zpj2HUOkxc1Jh2jNDteBiAiHop1YmV/MmbJCSYEIXX7xx81l6KXQ8CSLIVSTUzJK9iDWd0UTzlKBtYWPkAkJCyUUthvBA0DY+icChmoLE9V9dk55lcVFBBJI6ZlckkGhoWVWXZgEb+fSIufwWO6eV0zmbKp8V2/ixcTQAPacFKpRigxjXAEq9Otisr68BqDXG+8VU05WbsWLg4mStUBnBV3fOYxDQaMCxk9FzGNEZKL+Tp1Tvmlut0dbIurCchp5NhysacxM0SKjKBhIGEqsPCkmkZkmXT3HpqqouorRVZDJC0WjA3jOGpX1gFdtai492klVnK4r2vuwyAyxUhProKy9hWGiJLiZs9KMIY7UkDklHDVpiN7gQBzis7iEFMs7H4GMa0Sp5nlFdqdBFJIRNlD3gb+Kt4M/1CLYogYNRSNGZ6/3wi+GcADOmpnOOQJQnNbSJPiFEW1Z1dVzRF0CIii7mO3YrRPq5teQV3Ikrt1BjOtI1N/k28ZvagIBBdJIVrEESq7EswiRZWFe5kk+W3/ObkFxFVhWtOvIo7EUMh93nuLCxnvzOfvWoWjTVHjpOXSNNrlbGmEqAmOeHUJ/TxZBLDfv25MRw24hdGCBvsqHmLCJ1p2pwzA7pjUxZTeW9XCleGfF/fP8D26VPMFOhEfUtqEk9Kv27jjmLSRhOnmtaiIVBesAWftZqw3cV91+pCkmXjgxgDmQofFVYPZ++lnBH6PJknkZ4nvbhO+J+xHcrtDZRYazGI+rkZxNwg7PvFkzxXnLstU1QPeKsuGaEvfApVUzka62AoVcwvi55CWUTvCOA4Zp6ZrcNsD2G1BnG5pii2+6n39BE2hegI6mKRqtfMUs5gJkUQNy+wCwCbeYpw7XM4BZVys/5s3YM+vtQLKkOGMMo5GNcOIqxglrJoOStnG8gv+ivuZB6Xdr0VT8LHhb1vYkm6hGRCV+FOJXKrlKZkjS+cykVGVocEytV88jQH+Uoz5ckaXlhVzoC3iJgEfscQ1VYFwzwe5VlEdjwdYDDahiEawjrQgZSM453qx6TmViyN2+voramju66ON2z52KLX859h/3LOzE9/+lMALrroopzv77nnHu644w4kSeLUqVP8/ve/Z3Z2lpKSErZv384DDzyA0+lcZIv/95veLDLjzOTp59jW1sYDDz+A3VbDjEOfmIxakp9xR866eX1lLBuOs2y4DnWeEuXZUuq00YKKhjEDDU54DQhpmVNVMmPSJ0GDA1WPcefhryEIGmImh2zQWODMmBwTHCt5gbVjl+Z8P/Lqd8GWlTjzGgYxGeJzbP/FLCnF8M5swB2Q2V36IrWyrnXQ33yEFW2XsyG6HINcBZLubEXlC7AbshNrzzOFxNZ9m72yjbBLn+gqB9qI2NYxqG3gWh5jM8eQzgXJxSB5rod492wIk6Ly9MQ7OFzkpCxayBrpMP81HeDjhfnURnOdQEsqF6p+kotpYSnv1O5n9+AI06JIX9DLik1T0OknKD3IcVXnr2wS2/CTVQ29xNxGeVEuP2j9Bj2NdFIepeLoMsbX6r1vhlIiFabsvgfNH8SZ+D0RwYSoCfz5io/PSbP//IJrEDQNRzxG1YRMWNU4SjGP3jkKfJaVY1eyvG8cQ1ifrERjBaKxEQEROXEAObEfe4YqEauox+OZIK3kcicar38vgijT+8yXSQb/fpuMSVM+JY5xkkE91SLEChBd+vGG46WAPjFrWrYo5o0Nj3F9/RMUT8dZeTxMZ62dM+U68rYqfJoW10pG8nO5AA10IGsyEgI92qN4e18h1vthjOYuPqJEObjkQl4sNqJ6TdSF0rQV65ylkM0IgsBbul5GEBW0eWq6BjX3nrvTbkbSb+bLGYm7m3icpWQrSVJaE5sKr6Zf7OMhcwuPcyfppIF37X2Mc0khtycu4FOrnSSNRlhfwMFDKerm+c/PCLu5I1tUw3GgSFzNS6LGA65Pc/cnv8urtUUMW/TrqnozxOKpk9jT9xEo+QY1UZX8eRWDbz4VoQkDIrq2ypF8Az/0Lwc/TBhr2c0vc45xxKRv+9iKLRxfvolH98YpKbqJuy61I0siUasDezxCcXKCEavuDH3+TJKfkuK58nmpfk3D+HfiaFVKICq6gzgU7aDC3kStcxW1znOp1PCdJniw3IpsqEXQNHaMR+aurjWT1s2rDzHLIzz44lHSRg/pmVuYFRQ+Vf4Dvj380QXbPCrIaEj8uOJ6vuD4HKKo8qNj7+Dk1HzkQWOl9zQf5VsAtLGMNpahIlDMOLfVXYmvZpLmrlMMDWznCRRuRUFa8Us+XdhC14EvcF99Gd6EiQ93JulNbOPSaLZn2B0nP5FzTO5kBZ8w1CzgGE4XJ8gftzAla6yKKjz/2rU8c2I53333V3KcV2vSx81mWHo4xufrq7liZoI1Myt51bUPR2o15aqOsJjFFk5qK/luoouzI7uUzs4l7x74Db+svIOEpCOj/uICXiw6H8NAlMOvDHBkba5I4z/L/uXIjKZpi/674447ALBarTz77LP4/X5SqRQDAwP89re//b+O0Pv/xNojccpSRygWZqlIHUbTVJ46eBy/w0PC6mck34Ax0UaTchTTvMjukVkjVx7JjoDn3ty05ufh1T9hjzlb8v3YJgdyhR1TKJNTFsCkmom5elGk7ARu84whmeIoGsQS+kBpK+xmSbqG/ZWP5OxHMCSwF5+GTPRlTPZBpYYoyRQsf3jRc3ZYQ7iqDmCxT3HV4BZ8ioIqwExhGJc9xJeG3kdSXTm3fFzdxqxfT3UEB6xo+ZfhceTjsMvE7Tppr3h8FGd4kLFUM1Om/BxH5nb+SgkTrDY9y65oFAsqaEbi+XpaLC/h5bKwfi1vC4WxLBC2hxnc7Est4zhLOcYKVCSeYjsJTNhUI/LaIv6YvIgX4ssZkvbwoqZvuzyR6xiZzXHKyxfvuaQZkgxu+vLc576ExD1DWUdo0DtDh6aTlEs0GYeSvev1dOBhhvd1vYwkJOmIxzlQldUtGbE+j2k2i1ZMO0GRBJzRbL7+rFnH+zGbY1h97aTNmeaIKx9ENKQRRA2LtxVNnc1Zp8PewIi5hNPOLDX9leJtXFu6j0BXRuBOStHu03t4KdFaXjj5ZqZmawiGM+m3tEphn0hhn8jKNj3dVNOXoFPTBd5Wj3VgTqdyy4GBZs4gZKrNuhMSYmgpNQkXRCsxJFfODfJyjZMlnmKmHR4ApAzS88mxX9FXs3gV2ELT9/PXjNbGSbWW18zLdG0iQeBFk84jSWPMLHsOu1VQmbSGmA5ko+rwMh+t8t/e/0vGVv5iNDNTUcjPdt7C6cY1dJQvQ7UZUKp0RFecTlPW04zkn2T9oL79aMY/cyIioo/BGwdSnDeWTQsVmb2YxdyKohFjCTsGkyAINIykKImrCILAT44laQ6paFadC3NJYgwL8JHpYcpUjQum9B02hhQuH02zcWZxNARgtvxl4q5eXlz+B9pmX2M42smJmYUpy/Q8dGCvz44mweapNO/uTulNMDPvuqhYCB/Xe8A5yqOoaHjTAaxKjNT0RcSjC4srnpCDiPEh0DSk/jhd03W8Mr6UhGLGZQphElMsL2il2DnBu6T/nlvPmAhQzhAjGb5eM634xUIafT0U2fyUO0dpy2slXHwIo5RivOZx4u5HOJSvX5/XolWYXCOYXPO6u4sy9pKTIMhY0iLhwS1MyRpmzwBGh542K1pxP6KoIQOJNDxovIgNSw288dn9TE/HeYYUz5IikrkmK4Iql7bnCgzuNepVqWbxGDbT3fyQKcoTr18RVhMboEjQuTRtiUoMAzrqVClMvO46/2j7lyMz/7aFdqr/t3yK74IKZ05BvPoTfL98HXLVUm4++DymxDGsgbtZ60pBJq17Oi6yN2hlyd/YbsDcS9g4zbgDDlybrXzxzWokolmCnDeVT9IyhTOUVRa1+XTIPjJaz9i+/6Ti2o9gN8VYe/E3EJ76Ki2eT3Bty3b6qy+neN0fcFcdYqLlJgKdOxA29aMUACpsGbua4R3f5tSr70COZ7stehteJK9hNwD1T1wLLgi6DKiSQDyvDdtsA0lVz5FrGqTU5US1Ssb+9CVUqxfp0pswCRq9riwRWv3YCMa2drSOap4V7+A2vgvAwfAtDKVW8e78u/RuARkThTRltj/QGbqIlMWMN5UPjLA6qQ/yUYuVwOxfSNqup1ZN8UPuBFPuxDREGQ9zGTIS31WvZFbTiZxnqzdMpFBNV8O8wm1P3igGg+6Ujo02UFK6OLEdIBn1cYJRWsZqWV3Siz//BKdH9fipTjzM5/uTfKTxVuq0Tr7Ap3GOG9gYHCdi2MWMdgcJgz7o2OMSb9ifyzn7+bVbuPWZR9i/9UJufDyXRGxQFDQN5IiP2bxWQGXJkmzaUDS0w7zUgSWV5rka/bhudD7B6i1t9D37Od4crCD+8icoM4gMoRGzTBHMkL19kWbeF1sD4zvoqrgb1TXF0jMxikK50HmLcwkJ0UpeOsjW4qc5oizhtDGXP9FAByYRYiqMpAU2jV3A2qiZlywpvmVJ8+6ZBGABg8ivNmTfBSWTXjKRZE/JOp4pt/KLA1/kWGohInCuKRj4nPaf/D61GlICh8U+vTfS31ZCYEDL55aEETUQ56wQv2aTeOWSLazc/TSysLgQWURUmKyxIze62cMliy6jjZTSnS7GeDzFRiTAyIMVJt7cn6QckROGcQpiPix9SW4KpJg/JRRaKhmOZZ+DcXMR97cl+Xqb/jCnx09iLFnFuoDCH16L8UeTjv56kp38nosozded2I0BnZ9z34FcJ94fH8SX0St5oNLIt5stfF17mRAeHu+4issDD2M3uFlzVZpzM8NdoWMs9WwhZI4xYnWwMdnDj49midV/JcWNmJE1hU9M3sqbRzS2lR1Ec4AQgfL4KF2OeloCtzCszVIuePg5Cf5Aisunn+O6WC9P+nbRK9TSZ3eSSDbwyQ0/oj9YQedsHTurdnNsYgW2eUq/sUg3n7N8lrZMXelSTnM1D1Od18fabblNfwESjhGWKYfYa9lOQHIiGqNUXfJ10CS6H/8WmmKmoPlJCpY9weTpa5huvYrWsQqMdj91O7+Cpkh0PPTf1Hn2M1y0jujYSqZklavyjQhTH+EJIjwxj5B7ATJfw4aGhlHJ5SmlkCk1X40oqNzLNQyjsDb++s7MlfJr+E3LuC+5Fnke1+6a+n9dtuTfzsz/QnP5f54zAHb1fRdZ0vP++9c18abQT3lS0Kg365OHrMH9M2aKwtV/c7v99imKhyvo8ZrZ3n4UZyKGJggMeosYFHto8m+kfnoThXEPWKcoWPYosclGrPm9c+TfgZlVtJpUvLIVu0l/kTsqT7Lk1H/gCj2Fo7QFd5VOYC3MoDDu6v0AWEJ1iIqF0pPvIbn6L0wOrsNS1EoyamGT9iRSh0pXrZ26kscgCgG3nuKKedvJ77saWatgYnINUdcgBsmE5C7HsvE/GBSNGKueoM85AH3ZUmHVkMDma2em4zKC/dvo9O4lmi7hePQ6NEQSGLGcw1nYkmrlTHgrwxYz/ZRTTfaFPu0U2F15F9bBVSiJFbzeLNVBHaflYt2ROccEBFpM/QA0NryGqkGhL5N+S+riVLGYA5ttYT8W5+gWbBM+Kp2nuHbobfSXfIa8vDGWr3ie0ZEl1MwMcfHYAbZOPEW0uxz/dVaqM9LkRstupqVbCFmnsCY1rj6QWxGzd30z5shent90HpN5hTy64xYufO1ZTOkktkQMRdVIhY1EThVhCM2gOPNJnryJUlsaUbYwMzoNDCEaaygfa6F6Ksg3J3/KoaJmro63E2ysIhkswxXsoyjSi6PuUgbTcKq4hnLtUoaFF1gfz4pCTpwsImir4ZLQ4ZzjnDB5uW7VDwHYOtuC06Cw2nxEb+QIXBZ8FadrcK5jfE9SQkOgOqqTVmtliaMo3BONAp5F7x/A7Y0/Ji5Z8aZnuSK1m4hYR6fq4FTeSWyyndWpMJNyExYlF73wihKXGjsZVAoIqysICYv31QG4MO85WkxL2D+ga7MIoTRSdwil3jWHNAUca3BGsz3oVCBpMGGVU5g0hY3iAPu1FQuQKYC6sMIH02ZMCKjApsxwv1dIsx6VZUiskouZFVW22iUKz8Fyzyu6lq+FDlGriLhtpdylOulLqxgEgUqTiLFkFX3SGDWK7hTnW8oJ0YcWD+FTFbojJwGViBzkS4c3ArlVTP7EIC0zL5NXch4POb1Y4wU8eeoKYstdc1VRwfJmHs4PcGqDlf86k8CswnFjJxOTJxh3V/HX+joQBNYGY8SJ8T0hzspUiN8KJqYN+YwJKil0EcdtZQfJLwwRiLgoS4zQ5dARzj9NPsttDVUMu6YQB7dSGdeJ9vXpDjateRBzqpTzy/S0b7V7CKdJv6fN7k6MmXLqkdcK8Z0I4qgTcFXLUA+rOUYBuTyt+VbjHqRSFehom2LvrBV7UReSUXdcrQU9xCaW4ijRn2Nn6SmmW69CNMaouljv3yZICsYL/8i3hE9ziW8ax5jOm6nveAtPkKIckfdipguF35HiFWQ0NGQUilQnfjGEUZNICwppQeF7yq14Q4NEQwZuSD2GRYmiIHIwbwPLwq0c8mxg6+wR7HKIVCyOKIABFRmJhkgXlfEhpjp74cp3vu45/yPt387M/zKTZRmDksq5Mzp3RUEVJD4hfRlv3gxmo0RVxpn5+piFqCrQfE4zSAA52YbBrE/wx9PnUxWDCy1dVExkK5EKQiMkCgS292Qb7ZWt/xPOsoVE2YcjtQza0ghD53Nz0yMAVHl7eM55AfVFdZRv+8ncsqIhTdHqP899ts3ox5He+wClT/tpuHgds6kgXstPKB3XX2JTSsWZqW4KeHSiX9zThSqkiYb6mDh/CMUn4Bj8HWXt78ZYupaGgq/TtrSD8cFsPnvQPshgwMQtBVkOw/Mzd+Wcy0RyOVXmhYq85YqdYaCfCuDg3Pf3CzZOhIxcmPjbOeFZ1cwRefE0aLNBRyEcjmmKSnIRGMsZgYrydgTb4jB8yel3cZ6zlVumL8OgGlFVAVHUyMsbJy9vnOJ9AVBAfTqOEBjAN1VD3lZdFdgsJwm6dGj5vU+ascTMjGQAiZhllh7fM7hmYKZY76bbWbeczjr9et768C8omxgk0O1ivDWOlV4qappZOZ693pEZXUrdJFSyfESXYl+Z7GHlVA9hexnDr74fEFna/jts8UmSLh/djWt5dK0deCsVXYfZkFGXVjWVoXiAvxZ9mHcP5DZ/vHPZV5BFfbmts8dxJD2s8JxA0FSccoL1zyyleE0LQuZVyJ9chTUWxpspwS+TRSQNUgKI0wnU/MW1l14r1h2rLbMnSCoX0FQR5/SoRqdHv2eVA29ga8RDwuSldZ7y8qyWpFxKUi6FiCeL6BEXpuwAdqfquDCq0erzkRzQz0cA1vfHOVif5Zfsr8jjjoG1jMWPkRYl7o2tJbXKyxvGDlMSmmHlSC/j7nx6Cxcqa//hQAwTCysVT9fbOTF2nGUJ/SJ5DLlOzImYwiqbHm1/wLkBOyAKAv60yoG4gkfSnRmASSFKQhqmWSmnXKzgjMGIIKdpDx4kIs+yuVDXrOqdOAnOlTn78ScGCaTGCQz8lesH4PiyTaw5c5DjiY1UjOgO/kPLlzBgrAcv3HD+2ZTQWtiaW023aczJ2xu+RMAQ4lWg/NAd/HEep7J9JnOuDUECfS4aIj3sLtAVkvvNxQQ3/YzbADUoYspUV120dj9FhUEgV1k736pXEVkt+pgVGbWhvmpje28QThhpyp8g9GXhbzoyZ00SNbb12pEVsPmyqWanr53ETBWWPL1i1eLpRzQkKF7/ewzWLDftgK+Wk8Ja/D6ZdxJiWtZQNY0TgsKPsVGAyAUYiQDtKAgIGDFwdWoDTxqPcWV6LY+ZjjAqhPhN/ELePv57wD9HZw9avBz1rOWoZy1vxcRt9pU8MvB9tJSAkE6x1DDBMbmcumgvDbFegpFc7to/0/7lnJl/W9bklML93/sLouGckkZUqunjFu33eNEHxy0OBYMAyCrfsYc5ODbMRVP1C7cZf4V48hECece52NbBsGk9FfFcSflJyySlodxWCYs5MqmUlaGwPmg+P3ARr47olS9bSo9Q0/gs3RteX3dSVUVeGy3jg0zzssGAGhpm9NQvONrm4amRi7kt/Wme1C7CNGPgI9EP8rCyhWmjFzVmQ5PS9F7wcQyTp1Ey70qk8gDBEh3xSYi64xCc1TkGAVOAYwXHOBwz0DG0csGxhKw6WhGQs3pGLdE3zP3ty9PPvZ8KHo1fwpMjTbQEijliMVOQyG1eCNDh7uCMJ0vgHVTzFiwD0GAc4+blf6Ky8gRr1ma1bxRZn8zMnSLFd4toodwoO97louBuvSy1KbwMm2plRoihabmv78CQC/8JJ4mA7gQKvX1MayLvKyrkkMWMpeiPAGzqiDHj0BGFlDHMX7YHKZvSuOsBhSU9C6vZBjMiaOOHswNVbOI0D/R9k30TD5NU4gQy5d2rWKhJ4YyOIEREiisewJbpWP6ks5e+oqzHLhTdzXrBgqymeWbk14xXufkQ3ybgNjKZb2JPYzP7EzdwzJXVLdo624J9qIC8CTvvn76Pm19KIwB/Sr+dX/i/jqqBof9i3jqPSGlEoDjDKzKeyC1t/WVvLuESQAgV017jxjG9krN+gTPlZFOyibXiFjbK9VyQbmaVXLVg3b+YD9Ah6dflaFE9r9StxOCf4uVUHf1qHsejzZye1h18O/BuzHxdsep51Iz1FZl51C3zzLJNPFyakdGfSRKZ13tnZ+thSlqHkeZpiNhkDdPrCMLc8cxpAuekGebbHi2LVjoFATGD+hQaBC5xGjgrfD0mBPCqDiYEfXKtkEsxWQtwGvPJN5fS5Mp2Yq91LnwPp5OjOZ+XdOsoxJKeU7iiIRRRYqTobzdfPWu/N99HwJB99vLl3G1X+QdJzpqxl8ZA07BoSRrDekGDUph1+N6y+c+sfncbq9/dRlH93ye0AxgGVNYMZLkiruk46vhCLaCzFp/MvRZFa+9jyU3vxNuYLRUvqDxG47UfASFzE0WV6rIeXBVHc9a9jd9xr3YDPv9Bhsw6byaoaJzUZArmTe+b7H5uX/vfJJz92WuiFPCrWhOjDgOTqoOyhH7NZLuLWHk9qmSgTMgj3eTCUu+CBpXjl3wRS6ba0NF9knUzR7h16hEaUrrzWex4/TZD/2j7tzPzv8ja9o8hSYurJ67nNd7Awk62GESCbiOnl7iIJXIHVE1NgBYlUuFGNofxiAk22hb2wZm0TlI6D9WRTAtVewEGZurnWgRoiIycyL6UNzY+xmxZy4J1nKObMSS8TI4s54lkPscw8rW1NwEQjQwRUhr4hvwmXlWW8Yh6Id+Xb+QpdRMfSX+A8GQztjb9xVHMQfznv5Cz7fEVv0BDQ00tQ1VFQiF9sj1SeARF1NGNXxjPsNV5T856r5XrjkRrbAeKZmAwuZp94bdxJqZzPNaYd88te9y6kjOJSnb7awgJ0qLOTNAYxKplS2GLxez1u9TYiUNIYCHNTTVP4/MNUFWdmz+XDPrEYuoUkWYFCu7JLQs2h9OYOnMHiTExQGdHbs+l2Xwj0225Oes/m528YrPyU4+bwxYLlqRGzGQgbjIiaBpXHZvEltD42EMKa3o1vvYr/dosCXZRoOn7HCpbqP00HdMrxoZjnRyffhENDbsiYpeeXrAsgGe2G0t/Nn+/urONrpLsNRt0GXi6zMxYrJdweoZl6zvwWYY5tsrNyWUu5OJJDi/1zC2fFwuzJNZHmek0Q3s+hufFKyieVZi1iby6zMqeoka6Ji9hZnwhWrlM1p9hMa3yy72/QNQU1msHsdX0sGwgl59S3VZEJFSLfWYpMxY9CChMFLJW0XU2DEg0KqVUZSQIzrWUqKckhlIuGnq6ecG3LtPhXOA1dSn+Gb2C5L+wcjtmXAgUJ+aVLZ/cx1C+lf6CEsIRfdIVZ5KcKM8NXK7wH8PYOosQSIKmsTqwOLrXEpMpCZdRMrl4n7eOhMKf7SmOsNDZEQQBhySwzWGgP6lQouVRrxbj0PQ43i2KlBoa2ea7jhJbLXnmhcFNR/79aKgMRdtRz9H/sSbjOf8f85UjGxcpMT/H1vmHOG3PRTmtlizKURkb5PyZ/aRHHRjMKnazfo8vnN4LQFHRQtHI/yeWH05hUs6pdDu9uMRxGCeFipGSk++a+26xwFGxT2QdmYwVli5Ekc/aJ5u+x16Hfs/aFIU8IXdqL656jvyCM0zXZpu2Vqj5PFxuZMqXZFx1Up5xZuKVjShOD8miCuxVy1GqnczWORFqHsBjHMVRkuUJWabHyA+PgQyiQeXSlTe97jH+o+3faab/JfaYf5ZnDg+ys1h/Cf0nryc4tprDO3q4Vfwd65VD52qa5VjYZUA9B1JWtSj3l76RXcIgTyeX4BSSbDfppbUOoryZh/lO+o2cnriRdWE3kilM/fmfQbEv7uP2JnIH7Eo5dxC4qEJHSsbG6onH3NTWHaXbPMZXX/kcBUKKAS0L6Q+7CvHNRImZB5DRo69X0rUkaZpb5jMdb+Tn8gnIlJgnli1UM07ZxkiE6/l6dzkXqAaSYhJRTHLD9KVcP30Jn6r6AW9ZdoJPH4swndJh6iGPztwPKBXcO/kTEpruAIymllNue43fcDMG0siZ6xmvaiJmMHLdgIqQcebEmQFUr+48bpzaSItcyoNKAW80n6RAiGJA4aL4UcotAleLZ6go7qC2umXR6wogJOwYxvUB0Nwh4vu8kcnNEtrlCYyVccKOWl6aTZOw+Al7MgP1VDXR34/hqRohfWGcVIM++MXXKsy+ScH7SwOTM2YoghaLGVkQWN2jMu3IEDVjCQyqxj13ZycVV0wmf/jDpG1lfIUzKJrEZ33feN3jBhiI6qhUtXcKqTMCCPS/y8rbV/0KVZz/LF3MD0e/wPKeDu5+09uYceU+0F9fZuHDtmk2VLctup+p8iz/5PzxVjRNxG0YxyFOEVEzna99BnZNvcrdHd/g16aPYZ0Xr2m2Aeou+jmFoytoOHELBsNBVjQ8xPc4hhPdAS2KJDiDmeagwi8OROlIa6j9F4EFBqw6f6o+Ur3g2Aq0rBMpagLqvIkoJUhMrCjnUaES4/FppITu1B3Smuf0C1bNe7m3TCk8XKF/PrZiK1oGGTnbC8hQtZsp5808svp8rm3RJ2SjoHKRsZuXjwkkLyqeq9Y67BH5s3OMS157HpPzZjJNmpEQeKccJW3Q2BY3sF0wkm8UuMusH9B/EeM5Xl85vdqcPV6XZiWsaCQbH8Hl3Ier5Tuvu14wfz8vjYwTmNQoP38Mo1flZOc1AJj8w5ins8FWcWn275tO91J77CUCpbNUXjKGIelksn0nz+QdYZRTCwvEtvRxg/hFng54mDFOE91TyPSYGcdSsC2JEj1pwaKleJPtz1zavLi21rnW/pcaltyY6VHVZoBm3XmIblOJXCDzC/l9JAfcfOMn38LcKRK9VL/Yn+D7FHWq7GxXkRtfYSjgJpXUOP/MrYSXndtjDWKxAmy2bIpKnF2C6mknWKYf50RXHgN7C2neNYyzLDsmzghxNAy8pCjs8J2kY7WuP1Z14Iuo+fqYEc9rZ0YIo8ZDvDz1AJ8ZGMDbFOSRY5dRHR5Am6evJLvziVY/z73a13KOz1ESY/Jk/oLjthfHOPPq72m85C3/o+v5f9r+jcz8Ey2RHCca7UZRkkSj3cTjWUXXnw6MUeRPYCvUI4zYxBKUYAnpET0CK5L+fmdhR+lxJEsQoxADLUmbbQyzRWJcdWCwxBhQ80iKoNlmcFt7mDZbeULZhCLnMSiYcVe/ipAfw2DRJ41E2kxcNtMfKmcm4eb5AT3HbCdJnTiF7HYw+MLCXP3pvo0EZvWozOUeJy5oOY4MwMtLNmFKR5gwzM59lzzHGYsLFjrbsoTeaNpKOOVATGe3FSzfwzOFz5GfQUxmrZNsC6/mTVOX41XcXBzcCILGz5Z9n6B5ivbCg6QNSaZKDmEABHyI8TiikmY4tYL9ylrSUWnOkQHQDPrfZx0ZmSSimv09rhlokcuIaGbCqglRgAZlmPqQDmObBJXGpiyJM7vh7J/WmSZOlfsQzC4wWDBMCvR1F4ECSgG0N+tNROccmYwVtIfwPqsPqulKDdWiEXiHgmaH6Q/LuP0SvoDGWQX3bT0qoxkhRm9kcenxqvEpQpGTWLUwHmbZaDxAV/PZ8urXHzKKLFMYxwU0QeO5pRed48jo9tU730d/STmn6hevu7u7ZhcxFhKnAVrJppim3KVMSDrxdKntOUBFkJKEy/y8xf9X7EKEzbyKAXBKEzjFJKUVhzDZJ8mr3YtdkDGlN9FTY6eQSSxaAmPMx9bQSTwRhXe2hbEKAjVmiSlZo8sWZSjDldgSy1ZOnRVdExGJuGswYeaG1OYcpC6s2NAQ8CYUXNMLK5MMgAeRSGYe2TqVjerPOjJ5oUkEJYypcA+xCr1X3bg7n/78LPpRLQUo8iZwRltZP6Onip4t0qg5+SRh1TDnyAAYBChQBLpROSYpJMR+zkgK/owTFgP+vEjKcDErVwqZlGUCFS9gXryNHAD7p5+i9/kqpieSpA0CJnsBk/4supjylaPNQxRWWqFJPcPycDu1p2WUWD+u7lnKYkOUm09RYdyLkGhBFvTn2B6XMCn69epVBJ6Lx5EsYwhSijM1IUJjemrVUZp1AArOZFPucmrh89rjryQSsbL/hbUkZiwEBxzEp834XywjlMycrA0Ei8rbhJ/S1lDNvpVrEWcElAkLp2ebSYbLuLLFhTHhwXLyKqbTAmExQdtkEZqW64Xd23YDrtlcNLGy9TYAFEUlETAx9lIxprRE5wu5iOnmkgPE3aPInlGWr84KqQ6v+R5pq+4cKaYIL9iOsXv8T6jpNIO7S0lHDVRP6EirYsu9gf7+JfOznvr1K4siGhcif46SGELB32p28Y+1fyMz/ySLRnt47eDOBd+vXPFTNNd5dPlj3CANIJlixDUrvVIhpcCmAz7iJQashr8v+V2+Tdc8qHqllPpMNcdedRUvljdya/3L/OrUbayofJEi9xgAPSkb6T0SaDBkUHFacyPi35x5M0f9q3O+KxGD7DKdFc8TmDRexrL2EOElf5lb5k+RzWxO9LEy/TxWY5Iq5zB9odwU2GmvDnMfNi50huZbm7WW7Z9voe9zBr5y8GMkZAu/N8tQeJzp+kcJVD/L6WkThT3bAdhYNIJ9Yht2VR+4zjaKnLZMcf/arF5Lg8HCBR4j8nQ38de+xUTJFs403YbjyCxX9T3BS5dczFTh4qmDquEpxrx6TXxSk3ggme0UPK66cIpTnB8/gSEeBTQMhsUhZ1OomphpCINVwTm7HO87kpiPfQBxdpTYK99g1mjFOCCQrtVI2LxowsIBxDM7i4CA5AfFB8kluYPJ5rVprvwxPLxF4P6LJAyRIqadurNwcN0mmp5cmBZaPqAx5BMYTglUmzVu53dwAfo/oOXnuoPpKIkRGcs6HhYtBViRyzQGTQs5JAAT+YUcXJ5VMy4PjvP86XfQfF4W/v48X+dbfCgn2NaAVnTCcaXWxzvz7uLwUhtXn4YNjr+QUJ1MrBvkHSUtUAavxZqo3v8e8p0xKs0PEpA/DBO3MjYWJlR6AIu3DyWZRR5cY1soOf1uJM9xPvBkkDVOA0jglgR67CIfPs+HlHgPq4b/zOZ0Fj2UBQkpc8nHipr50EQtAvDm5Pn8yqJzIM5X3XSOJPlee5pJxcZbxRiYRISEfj+XIdHv6mZD4mdMKt/hEv8s+QmZaYtnbj+1ET8nzjeRMN+acz2fWb6Zd7zyGIaMt3pF6CQch4pEIWBj5fM/Ia6EEW16CrXMsJ8ReSvbnQZ8osBeZE6aFP6DQrR5WkpLxAQ7sYAKL43dS4W9mQbXwhYWADbBSMQ6iNkUxTGZ2zV7JjnM86P3ookS0brlCAVLME8MEa9s5MTAwm2Ve1YyEmhBRKJ5+H18cGyUU+Z2Ukb7HHZ15g+N1F/dz/C+EHlLLIxXpymdtPAOh4K5IsxnRq1MyLmOSbwwzmFFYAXgKM5FeFVZQDRovGfPd1E1iV/v1LvF7x3chPq8RkBxYdPijPrK4Rl9naMFqzm8dx0/ufgTSKJKKmyg/c91vKfgOzzzHztwtbuZ3PNGDMB7yHJv5HmNd/vEKdTB5VRWnWLUv4LPtryTIgTyxFeZRFdIfKX7jzRFZIzRInp2mwgPZ50NKaHylqF7eI/0E7aUHuG25geh+UHOvUuKJZf7Ex47g2NeC4kzf8w6T7JtYWl1PO7CZtMdWynpwhGsY8Wdxznxi+ac5UoOa2g33b5g/X+W/RuZ+SfZyOj9i37fcvI9vH3vz6ialLFntFwG0nX0+M5OEiLpiYXNGv+WSSV9JEwi/nwTq52nOb9eF516x4o/zjkyAA5TjP9Y+VtWFpyhwySjVOSy9jsC9VhI4SX7Apam+lk/fYwCVff0S9Q8hsZr8Ad0p+SnJ+4A4DW5huHZTCdobzafXZGp7jhpqWBP41qGWUiWvWF2z9zfJwvqKNkAj515M/6Yj1DKxQ/DPtJT1QwNLaOl8zwG+3eRn0mBqTPrUWNZPsDSeC2bw2e5PRorrDI7nGmq3MeZLX+Z9Lhe+uvzH8OcHMY9NIsA1A2/fpdgu7cZNRPBnDLmOpnjqj4YpApKSPrKAAGXO8t3men3kgzrMYQomxk9WIhhrAnn+GYK2m7BKFqQvLV0Nl2OKykxOlJBcLqMtOAmbcyNlNcfOowAzLrr0Ab00qTAu3KPJ7lUQ7VpXHdA4+bdKrOW7GCYWOFhqiarsTJWq8/KSwf1/4cTi5ee11w2hLMiQtUlI/hW6PfTt3qKxKCORvTUeTjG+kXXBfj5vE7337z3G+TJYT7R9+u570aFco6ygRfib6CDJZxmJU8mbmDb1ElKkhN8kf/CJKSxe4OkDfoxbsm7h3KDhjGmPwfO8S2Iqhmn5NYdmYyVnH43AMXr/4Cj7BiGhAfHxDqsA/pk70sVYxbAKWXP3eHRuMivkLKspGmmBDWhTw7Pm8d5xh7k/nyBP5QZuKk7iWzORvoXp5ZToRSwVq7lq61J3ArUI1HhNrNu6SxXVD/PddUv8En7DHbjHzEJ3QgkUHHzh+PP51yzFVEPsnkh/wfgsdULq+v6JD+RdIi4or+7XnMd9WaRImmC1aZObKLAcqS5aPbcePpq6zge1UVaSzNt7eN0YC8jsW5OqO2oGT2hGSFCSE3TLo0QKjiBqopzFYvtSoRDBpVXZl9AE0GuK0czGFHNVuKVjbyeebxLqLIvY4X3AgyikX5JJ9ambLkTcvdj1aAKNPc7KZmysLLXibcxiF2CEuNCdGDULnOyPsQ9UyYks0rJhuw72fdsOY/u3YWq6e7Sj1vezsnJpew9vRm3HMaQ4fb0lF01t06p6CetmpA1CTUt0PtsBaosoo4L3D72KJMn35izfw2FuHmYhCGX2zMwsBrb1HJSbXrV3hoMWPo3kTi6moLTb+XCYf19Nk405jgyZ23D6QMMDpUSGbMu+A0gFTYw0ZJPaMiOmLahpAUc04tzIgGkEh31zvNm54KzhRUAxpgP20wzggCVF4/gyyugYPkM+U0hCss+xt7k2IJt/rPs38jMP8li0cUnx70RA8dNpezyy9hKdWdmMlzK6XKB8zM9FeP+JlyLkMQAhve9B1tBJ96mLBM+5tI4XuYiZvv7t3dd0QnWFZ3g96034bDlPuSRtIMrpIP80PAj6pN6JcybTu/lqs37CadsfNf0LkrUPAbESQZOXsxdyQ056782vYKawm6WeLt4pv9S8kwjfGzjD/nwq7pOwjeW6lGmnSQOIcmE5qJUDHLhZBvXvraH2y/7HD2ecj5vfjuPjWdFy15CpjIZgD49BskABmiakZ3jFyOck0D//PB/8J6ar+LOG+DOAh0lSXheJcGrOPxuXF0gKElWnfgBRlkfPBr8vRxk86LXrDMTpUQNUTrmERRXhE5zQfA1og36saa9+iDgcespwrHRRoYOl2KamaDuqgGCSZGZjjy8/guQPDYK5SzKIReYiEhXMaKNwhkoQEV16mWa1X19bDqYbUbZV30FihKklF8terzJeg3rSYHzT1s4kukPZxAUPhv4Ad5NMmTaMXW48in5hZmlgxqCplE7CCzSy89dFcFdpaciS7dOULpVn3DSoxKWDvjFqvcTF3I1Rf76yY/wuXf9B2fqsqjG59P/RfHQGOoS+Ojg73mw/GJ6jTp0/n3hU8zPNr1t5iG+3/0FWp3VjK3JIl0BtxHfdIoZ8yrKj3+EhKuPgc1fxBL6G1UwmoDZNY5v5cOU7/sq5mgZiqaL21liRZRaEzAvzXhtUOLaEwm+stRMwagB0e5G0VS+tK0ew+kJ0hP6RPs7bPRv/yz1L/8YAZFatYhaVX8GiufNrxsMElcVfBoyXPJ442NseCWAICiYxFaS6lp8oct4Yk+Eqy7UJ7Crxtz8rl6bSztZwi/gCNzHVOVv8Lu8PN+8nh1tR+b2MSWGcat6lZ9BcLDd48n8kiVoWhFoRuLUOf2JHsBBWVQPAM7YewiVdyAda2Sv/yEijWs4LGa1lyoSlQwZByFko7R3LfUBPX34qGucB1cv59rXnDTbkkTSi6OcZ22VXMUJwwB+KczFPt1pSCETlvQxSXWAt3mWmTZPznqumJFdh4qolLJOZINZYTStx+mV0xcy5n6FpEG/ASfiBh4OaFy3dppEwEyg20142EEVg9T5euix13Hcv4rj/lWcF9yfsy+xv4WB/Dupmr6HksAYuwwqh8fXUtk9SGL6bOpbYHjvZxecX8TVS8K2+ERfcOyDrMIARFgrGHh15HEC/Uls+W4aM+BhYrAIFin1Pn9wLwxCd0s1S2/twuTMBjNSpISuxxykI/o8IG2wUjWvWfC5Vnr+JB1TehPKxsYDzHReTNdMPv5g5ZyQp316BdaMw+ptCEGDztmyT63Ac6yMvIl/nTPzb2Tmn2CqmmY2qA80clKk7/kyep6sYCRoIK2BaCqhajKBtUB/YPyRCsKmTiaW6g6EKueW+QXaLsUw5WamazuRkTVMtV2Zk9ec8Rj/R47MfLupUa+U6pmt5qGuK/nSax8HYEX+GaZ8Rr5c/QPeUvIXEgVRHp5oZrhGpDrUh091M2aYQhRgp7FjTuIaoH1Gj8BWFLTx5son+GzKg0tamCopkUJcPfob1iRbuMDYy7EV61CdZkpiM6iCwF65hjWGYeqlKa4xnWK5NLaA6Q9Qq+YtcGTO2k/7Ps3bDaULvo9clI34HLEs/JwOSKw5eTynTFaMRZCCWd2QpJhEi+gokDc1w3kzBxDlXBE+b/4QZZlWBbPBImSHh4SvnLGeRg4OL+eBq9/Of6+u54lSA3+qNKKictDQRX+Zh2BptrxUNoZJSjrh2ufXo8qu2uvoqL+RgKeJmL8pZ7+7w1leUeA/ZNLFGtOObPR2a3UL9rjK/BqMdYYIaaOGMwGVfnB7s+ceCeozryWu0NgdwXhObyqAVKP+XWvtQgThU+//JJZzOAm1hm6SdRqvTlzFRIGJDxkWJxqvCbXyte4fALA03E/ZaDYdcsC1hZhVZMylp64soRq8fZfj9G9YdFsATc/fQ/WrX6fmlW9jjuqIopRxEgREljh1XkvKmltB9pnWJIXlujMwZkzxtt4U6Qn9eXYhUG6fQDXGSDoH+Vu2Ix1DSnjwtd+KIaEjY23NNjQgMC+yLU5ofOpMnM+eilMd12icR3oxJtuwqiJfOBXn54diJOwlvFazFDFTrt8n+elzt9DuuwrWFjGQf5CJpnuRTbkIR+0iU0DpvHeoxzLMXosN67IyUiuXIEgaqCqusB9RtjBkyZ7r6GgzLXKAXmkMm6eHz3cGaXDbmEkvlIwAXWvJ7Z5gsydFuaITSkfFGQYte/Abu3jQuneO2KuqBmZdyzB5Fk/ZFq/KksM7xrP7c4zMUjSdy9frTuoIjL0kN910hf853j58D5dPPEtdtIe1odwAcnP0EK2VI2gGB6DRFP01f269hpl2z9wygrS4zsq5jkxdXtYhHBVnKEakKM+ML3qKQEoPfnpCLQBMoTI7lp0Dem3VdNkXVqN1d1eTmK3FMluLw7+Goyc2zzkyAMrhOFMdWSS89orsvdMEkf7QNkDAag1iMiVo8OscyehsPkLCQX73deT3XYkSXfjuW2d0J3bC9fqozz/a/u3M/BMsHD6NosQwGvMYen4ZwV4X4WEHZW6ZS10yN8hPU2YYQDLFiWk2BqnCmGwjv+5VbEWnKdnwh7ltaRpMdlzJ6Ze+Q3hoPSCgppwkZzMibapIal6lwWJ297F3c9dkLkPdYtAH8NbpJp7s28VAJrLNbxrgTLOT0sYeiruGmEi76J0p4MBgDetsx4g4+5EzJLZSKcSNBfvYZtRTNyORrFz+xUueY6kFCntvZIsnt/y80HqMP108znTzs1gEPbJ4+ZKLybPqA9dlpg5WGcbYZuwjT0yw3pibDjtrpefou3z7nH5KBmlx3pFmWJy01tjaScHUvGhIFBHE7EDf7hhBThcBGtePPYLxbB46rjs8gqCybNnuueWDs0Uodifp/GImWIEVC8unxjjRVMsXVlj5TrOFvbYxThkGCYu55NykeZKUoN9XS3AWgKGKixkpvwhEBTnhQZ7XRbdtvJxXT2adl6mPppl26IN6Q+Uo+dYY5pSaMwBUzCTxFOjPwbY+BblMvy5FnzDSeFcIx1Mi9f1RKkYTVA0tUllWpzFUXETSvFCIrquimKPNWSenSWvFgEKyQSMyls/ppS4KmOIz2sKo9unj78n5vKQ7iiXDNwlUhDm0vAjbTJZQXNh184JtRPJPEilomftsjpVgSiyOFpiS+nM0U/PEgt92BfRrWi5buLkvS+ZdjUTMq3POYt4sSfs4MhFyB/+miImC3mvIG9xJQfe1AEwWmhktNnMqcI5AW3xyrjnk/KaBpkQ7d/qv4apRmXUBhR8cT3CqvIFbk+fPLdPDLGVVHQRieTwfjTBb9TxjK7LE0MOhYS45h3R/CYacgOCA4zjr00sJR6pIpexomgSiSMjpQzUsJJCfMAzwkrEV67SBVLCFUGzx0mqnc5I1a59i5arnMK54gALBgqSJJIQ0zuR6ngseI6blXrdgqAT7hoXpFHtxjNQG/XkcfrUIqWMLmmJCkI2sGZuheCb3eRxN6+fnLI8u2JYtnaA+1ssV/ucW/GbU0nxqww+wV+tBhRaT2erPJfaLhoVimZ4Vf8z9QtPYbH6C0lL9ORnJOIRXWGR6JrLpxaQaR9M0DiMznNBR2anCy3iy6HJaXAt1e453r6L00GeoOvQ5fj5YTSy4MHAM9ehjROVFo7gqorTWXwRAqqSUZEr/zeMZBw0skgtJE1HSZrTxNRT0XkPSMUxk+EuYT+cGjebpJWhorF9y8YJ9/rPs32mmf4J1HH6Cll82kzapGFMyCBo1u7KD1vbAKaIZh97WqVKZGKJ0CrBsRbHnevTJ2XLUTIlxIpCF0mP+Jl0tUlzoNbfNNBBKuuizr6Y/VcDp2lVoeWbuHv8c1d5TXGvMNn/sd9bx0XU/wWsJkJAtc2qXAPHJ7EASGnAwfr6ZfSN6iiE/f4iSkg7sjgCRZ7bwqmUDGiKqBmfnf8XbTcXoLB+zPMAHDHcxJuuTybTnNACzptl5R63xUfP9HBHWkDhHBv2sBVULEc1EmaSjQSXnODOPkmZN3eNU1D2V831+17UYUnlMLNP1Z8Z+qKMplqMi7j9JBN4mY20Rse+VKJiamiMCqxYbqlGPkGaUHgbR/7bjxzqv8Z0W6CF/shtKclEaOWlcED5UBvysGuriRIU+0fcqA4t2SYjbxkAQEVJJjlfks++KDTxVa+XGFx7FbLoMgP4XPo29qJVksByL4ySdzg1sQ+dqaQ5w7QwQerWEWMVKusNWnh/SCdEO4wQ35X0CqxjC7ksRiprZcKN+7IYRASmSGfyfEvFeL4MBCrtlRqZF4htVpAlQ7fo+7v7omxcePGAJPU/CtQOAN6h/5QpBdxRSjSolvWc4i3fVkeUUiJrCPWc+s+j2zjsU4OWlhVQUDKIZLVhep5XH0LpvYYwX0O8ZYcXR92ATn8Vr+hEAU6kvkFAX5/ZoqISLjlDc+rZFf/8+cXZbxvnUij/wbP/FrJncMOfExLxteAf0e+JFQDAHIJlPwjGIMVaCWTZjGMs0P/Svo/xoHpHCFkbCLzIYDJLS/sr5RTcA0GceJuwoZtuUwq1DHbxr8jucTl7E/ZYmLpzZOvesVEdV/vRcLxbhHGQg4p77c+8rOjlziaGdNmkUwacBHdw6GsUYHaLugggNNi/xM2/hGWk/QjDAtDLIamUdC92Wv28zYm4rh9Wrn+LkyR2oqhG3Z15DQgEEKU2R6mZUCjAmBlAd2XfZbI6STOpjQOfoJizeKvzKCKs8T+JbGsBWmD26yKiNHYEDPNr+BkoSExiVIUqms6hGYc8mgmWn+OqYRo3oJLgpgTRayMah10cUntwyxpUHSlDTEvFpM/llAWLd+li4JJJ9Xvdtv5q1/dO4gkmS8vPMesOUx8aY7LPAfLqLqvCXfVt5+vJbuIQWesQ0a9OzOPb/PGe/CSVCRA7QW5agoE93oOoK60nXOmk6Y2Cr7xr2+7PaY8tmWnlpRucmLOsDxbJ4VSCAozRKOGXnJaUJtdxOY373XP+4I0Yjz8q38El3K0UB/Z5EpvX0rxzowHZYwnJaZPjbKoaMntcjkTAR6/MMvCRz3Xn/H+2a/f8F2/tLXRLfmIHZbb74HOcAwOwcm5Oydp1Kc90TL1Aa9RKYrka15ULdsclsOkFTshFHOuHm9exP7dfTq17E4+4rOFW4ES1Pf7mtUw2cmrgJP/oAmMbAUd82yvPHKLH7qXFnYchk+BwNm7TEsanVc5/d7nHyPGOY5QTbj57EKsVozOtmHpBBzNuKy3Af65Vx3um4GzNpyoRpxpyZSEfQmPX0A+BjmkpxioSwuCMDcFiuYE+6DqOokK86cWs2lEwU/IzQhkWKL3BkpJSTgr5r8YxciGNsY85viXUqs+9Kk2rWCL5J0YXgpjPNAuc2IIGiUNkZwBfQySY1ySxknDKacIgV7Njfx6ZItlxj7HABYmzxPj1bes8gqvpxq6nAossg6scgxfRBV+iO0FdiZ7g421JAjuUT7DufxEwNZaEGtpw+n/BIdkArWDaLyaEw3foWXhz+3Nz3kXQRRyP65GnzJQldk43ozF3ZG2h2KBgN+nFarAq2Fv0322GJwYQ+2Hkcix9/wrUDc/QgFi3OjfwJV6bsVy6G+JKhueWae4JcN/E8oqryk9AH2TWd5S3I5wxX1Sd1h8saaETQFqKRRxp/Qyy/lWD5K7wY+wj2ZAExdReqpj9TBaYvZJZciMwlnYPsnljFiYIjmSVyg4QnSHNb819oyOvl/Wt+xRpE4nk6HyGW10HaHCBpH6HYNEu6QK8sDJXuI+HRl5EyPZ0k2Y59egVF7bcTLxYZspYxlOjiiO0MMTHBbvtTHPXojnJJrICm6CBvVH7LJT23YT8HVanJODLLxYUaIPOt3TCCMC9Na/FCgWWGsoY2YmX7OO7ew7RRZarATf6UHeZVfS1mta4IDUrJ31ympLQdp2saVTICKgUFuaVM+8tfmAtGRsUZFEP2fjYvzRYEyAr81u3mZc8yjk+uQjSrGKzZ5zUR0Me2awaOUDujIy95IRMk8tE0kV75CoJT1zIpixxKRenIn6B1xWlG83NR3LPWWh1iMi/FhE9HfiKj9pyx+6y1Na2ganYW2ZIkYelHDHXi7R8j5odoMldo0zLajzmVpHC0Dw1Q5ASHAi8s2CbAQGqQEzb9OXcZ81mvODCVanwVGxX2JRRZql43tS4l9GOOl9agmnKpCianTEdAF0HdbSwnKWcD1WOc4RBbSBe0z92TmaiO2oiH9UpWMS7wFeXLyEj4B89DQcGgSaQMC9tn/LPs38jMP9A0TeP+z/0nyfolrNm8G1Aw2RdqNxisIexm3aMOvVFBpI/z0cWZ5pe+AsSna3M+i65xvnVxIz9iISR+1pKqyISpfMH3VZMy13a1ssowyFixBWdIpufEFdy7ajNuV4goNu7ie1QwyNtG9J5LapmXqLMa60An8WQ2rVH/4jibK6aZGrBz+lPTfNPwRfImV1K+5zsYfJ+lszlOqPQAB/IcJM0i2/vGuTL+IQ4tlbAV6i9jUIEva0e5KJrHxvQwRxP1cE7GwmIJkUjog+uE6uAPyz5OVfuNJJR1iIa9+MQfYBBsRKVt/GTbgQXnfLbaBcASKSfCoZzfk/PoHmP/nabuP4N0dRxjvLqIteYEN/M4D6cupA9IpvRJo2pWz3H/8pYPk7DY+Mz99wKQbtAnwEe4ngc33MIFXS00jw2xmL3v6QGirjNomRSNrfc0gqIgqCrRuuVzWjeGWByz6x0YVZ3wOFDWQN1MnD6fgbBFoGk4hFm1UjFTSTL4I3qfrmDVO7Kkv6Vv7qT9L19DUT6AIGYHnilFh8fHVhuI12Qn7tltKlONMj2P1HOBuX/uexGNu2/4AM8I53Petj1U2EaQgZeEndww8Rw/av8afdYyilLT7Fz7S6aNHl4+8UVCeTZGlmhY4gqkTfS25jN1Jo/Gpj4qpi7lyVNXUWeJ8+mS51le0Du3v1FTIfedbmalc4ydmZ5WNYZZal6BUUcSh+FeXAYdhRpL/Ia90V7aT8TZWgXevjV8ujsbGo8mHwCgxHwrqvQdROXjyGhEi/fjDFQgJisZk8b4Y9uNnC44wwcu/BCqMUrdnruR0vp2kkC5M8tpUnbqzfWSiomPv/IFPrfu+/jsEyzpmaJiOsXRzX8l5owiqCbsM1kHdL5JrlL6C0sxxLt5oOIXGGU7O3veyw7jLBouNGzsW7uKpHOIVbPfwHBoYUoOoKK4k4hpgP7+xUupzzXVYsewoRDQixTyN93H+rgDg5TGemIn8bj+vtXXH8CbP8qhg7rjazLFWL3maUzGOMETt0B48enE6fLjThTR/vg3aRbdyLUP4XTOMBnz8sXXPoFFSlJiH8cej7DMCAPiFJoAqCrLqp/E6ZzFUN2J3N+IQ0jhEFJERDPP+S5lX8sW7t6lo3dp2cx8WLMgreN9LWucXB1YwWMlT2IuepSU//IFx/ji+km8QSNho5Vb9noAGC4q5PAS3eka9CYp8tsYPVCEpoLzuijhh7OBlj+vjPKgnpJOGScxuPNJlFRjHepGsevjpMnfD5EoxozCcV5gkmlPAQXREL2Vedh7zAiyTHTJKkKCkdIzBznjf5btk/o5ea2VFKQ03jO7B9D5LNuKbkDVFB4e/MHr3l/F5iRU04ynowUAo1N3jjqmG7jOdAqnmATVgCIoPFnxJGkpjSHZzok8jU0ZZ2aAEM8ZT7BlOtvrrsvUxPvUX3BH1xFk8ywAW6W/ITT0D7Z/IzP/QBs4PcDQ0DhFXjDZA4s6MnIGPhVEdQ7miyjQkxDpSQhYM5oIZr8Ly0AhsdFl2CU/XoOOmgh2P3ETBNIpYtNm+qfLSCayHkB//yrKLAMEVRMls1OY0/pOapQ+KqZkLrDfQ9lYAktCoWE4hEmT2dbVz7H4Ro6om4irDixBA5FJHzazisFVAIJIvDrLUXC5x6mPjSMaNFw1MboRiEWjMLwUQyJI6XR2Ak9YJTRRoLfOTqE4O+fIALglWGKV6SvfR4k8QpdaPfebMTpLnjjNhvKXsNlmmcHFVdXP0twTQ1bXYkTCLuxjWnQxIhnZUpXrpJy1otY7s/sb3o6a+tv8onizRm1qCu9kglt4HAG43roHzSQxoeQhoFGaGEOxeJj1FJCw2PCND6BJGqk6PfodGV+JqIq0lC0lZHYwY7IgpJPIqXkCasYBTGqGc6OpSMkEopxGUJU5NAbArK5CkFxIxhq2nuxhRaYfj2SfYNdYC9ViD5qmkI7pkZ6miHQ/nlvZU7LRz7CtD0WApAR+l8RIcg1n0qvoq7EzTlaIzWgAa6mKvT6KvSijxCzoPIitsy0AHHUsw9cX5L/TH2Pz7Al+0v5VRDTq4sM4lDgfG7iHy6ZfpTQdxWDPRMvBNH6/Ff+JfFRZZPRQIdq4hRItTWEoTLmjFfdEA7JWiKyW8OOiuzBpJlqDPoIpPcpUNBdptZTSyL45RwZAMf8FSXqEPH+A5Ggevu73Ln5vlfPoSevo2oCaYnzlL3GKjyIJ46RSh1FUiZlxJ4o5iCbKDK/9LmnLFF9VpqlyDuK1zC7Y5sRkBfnuBMcDNdgTUUonkphkjaIZXZ7+LK8GQD1Hjcw608zGxi768i3YE/mochF7jGniCYEIKinHCMlMRdtZjpAmLOSBpX2nKSruwmzWEQSve2LBMguOe7wBVc1OB1ZrBKMpSXFxNyBgsYSYnSzAbI7RtGQvZnOEZctexmyOYZIVCkqewoMFn0nFYgnjnVfa29S0n/DwBoh7qRdMKCP1aJrOqYvLNgLJPHZW76bX4UBTNbQMaiTF4wRH1hOI57FvfBMTqj5RLpfGENAwaQphwcX3j/4HoXgePz/+bo65V+WcV8CR4mTJGV4q0NVz1UQpm4f6F5y/ImlE7Ek0c5KXN64h4Mrn8EU7kGx68Djuzaayxg4WcXx2FXKz7rwF7S6qZrKiprJNJVFaA4JAvLIB1awHpMZgEHMyiwCVj/UzY81O/smCUkRPEZom4lSVOc0XMfOcxAqqAdjenX0/D7gH+FzNz9hSmO0td64ZHCmKtXKOnXcTQYebgbU1jIVLGPLX4xYTiBlkctw6TlrSHR1v8CWOTK+nUMuicoPSFAlJD3S+9M736ctNqcjGLFJlyF9cDPOfYf9GZv5BNtY9y5M/6cXo2IHbsXfRZfqe/RyO0hMUrtDznqNqGaWM8N+TFkbTIj6Dyn+VJMibUljbrkepSsm7qTObKIsGeGj6KwTNNpp691HYaufMSCa6LlmJ7MlCm6sBOnSimjmlcru6g72GBGFHFLsUwB2WOe9QNj3gSsf4ru2TAPyw/WvcNPGs/kMtJDjM3bydRAYymTZPEy3ZjcOnO0kWUeXkoMZdw14emd7KKVsP711I4wFgwrWwGds7ClPANMdPlqFmZPft3ScR0ylqnZNcovZRGnoLTtMG7BOP83Pt/dyqFaGi8RNxC+swcJm6h4DNSTjDaXnp1AV490+yzHMeljz9Go1EuyizN5B86DY6goew5idoemPfguNJ12iUHw3TY851RG+vPMqPFY2C5BQWNcVYia4FZE3EqR3uI12toZlBTji45JUS7I0xHAmNusG1PLo2za4TPwJE1NLribr7SWciGwApqjsvorERNd2JFA0ju7yIsgWTIRvVX3wqgtFgRcbCJ0JfIj9fd3B/3PdB1HQW1YiM2ul7toyaXXo6TPGa6G7YRMWpOC/UGDi0zsVbXwyxL/5eJH7JY1zPB/lezvnW7BzBeSwKEfh96dW8a+RBzpvVe8XkTU3zvLSVH7d+g63BlgXXcGPiKJGQ7rQH3DoaZJ3U6N2v3wt3dYiaXSNM8RCmQweZOu7ivPHbSMXLODtFvLcLxgoNPKDuZ1vTEKf6BplKfYG0VkeR6b0Y55ULlwtPU+4BPKB1C4ws0jkaIKXVU6F6QYRE+BD2pEKe9iyYn0VIOlkdWsP5M9k0V8LdR+8FH2fZM7W8cUvvotu8rr+L29If4kFlNZsGZ+e+t8f0VEjC1YcippFUI4MpjWpz1pm3BZawYfWPqIzdQuDEdkqu/jjOuq/T8+TXsYgCeZXtOcsCJG1jWKK5pNOkc4hY0MeyZS9jd8xS2HEz3V35jK84hNkUY2hIr7cvaTzMWGe26isUKsTjyXV8khmVW5MhgtwShFXg8/Xj8/UDYE4qnHcwQMmFDyP6FD5576fZcHuuloqccJIK6WmoQFqjNBxHEMBm1Cd2UVCIPufE49MYk9yUZlKQDdVhCptfoPzox6n2dDAeaaZIjLDEMElUM1Fc1cGGo118jXfxkb1fBMDqrecGFfrCeiXSbJ4+UUeMehWXEqtjc+oAx82NGJOdOccZNwvc+WIx37rzBlrWpPklt2MizfeHvAy6cllD/f5yButqOXrhBWw8/gobBztzxtwcEwTEZHxBpaMrGmLlyX264wNoRhP2JVOEMjTJeFUTtr7WuXRRR0UN2wehJKBTDdqKX2KfdZITlk7evaGTvGQeF4/qBFx71wlEOc1EQQmejeNcsGcnX1tWyIsrVrKyZQ8TLWtwqUoOnDFpybanSatDHBF+SFz+EoImzDmYk4WF3LPzOl5eqys3r+jNvneiYuLU4EKF63+W/RuZ+T9syViaU7uHOfbSAdzV+/C4k+Q1vLxgOaGrkWSwnMh41stuia3mZz1baDru4W3jcVZYdRXVyoFsOeIFcpSyqO54bC38GZr8Y27e/QtGuvUXSbY5Xv+lApImkX7Rj6YGiFYfw2MYWbBMUWqGt4/8FVFTso5MxiykqCK7zqwpQM+ogNmbpjV2CUG5mB9PTNEWvQIALVbHS8H3Yth/3oL9dFW9Ph/GsyYyR3gVM2hSZ7gQWTXgMumOQyi1nRLVA8C0ECYtKFzGHqbyjEzl645MIORh23F9EmgPHqIvfIpXJx4iPqvDpT5LJSIiVfL5aMmMcxUoQMvIoke3q8TzBbYWDhDotpGO669MkTFMpeCnRhrAWR7hZLVeKnl+xwlil6WZuVrflM5xEtncmWTJsD54b+k2g+gEVKT4QmqlddqIuektCL4rkEwrMIVlzHEfjnBuOaZgqEDGgkUIziF1o3EnyUS2IZ3bmMRsXkpkYjvhYT1q9TiCLBvTB/fGTKVuZ5kRm6+Dl9hJM2dYzMZrTMRECz/NyOkvi/bws/5PscN+lLHqmkUdGYDSyCy3jz2GLAmEnAZUReCl0/WszhvF7o6z4rwBivz6IFhR28vl9X4s8YXK0CW2Wi63bORL7W/jodTbSGuNgMRk6puo2kKyY0w5j5i6fe6zU/oL3dLwvN93YTHoz9K07SR5s9nJptgYZmdwNyXWWsqPfhzUeRyOy7KOjBrOvL+aRvVgDE9qBqOm8KZEbnfj/CkjFYc+gXNiPScTSfqSCqfiCr1JhY60fu5O/zpsUysoWvMnzJ5h3JYwoiFF2Xn/TXsqSSTTUwxVwhrQZQ/Gl/+GdEaob6rwMGPLfw6CRijoo7dvHf6JGmaHVnPGOcykvwazJYzP18PSZS9TnjfI8hXZ6hn/4CoCPRfkHPdsUNfJ0ZJuwuk8Rg7kEoy1qMTP1Uu4Xfs17xO/jzV/4fMsx/Lm3MkJong36em5ek8fO6pe5k1ND7HVuIl1YpoxNZu6bh6+mqLWtxL3dHJV1ct4Pdm03jrjCEvyuqi79TTmeTo5tYgUW3QkMu3wMOvMikICqMkifn/79YTy30PSuoGI5zYStk3kx/TlZGMP/3ni53zoxLOMJlQeChhxJL1oInTWOjKX30B5JIU9JLFr4lEuPPgcyiLKufPNmF68A7chOIMU1Z03xeZkbCxXYiGVl73eR4pzuUsPST0cUbOI0IXxbHuDeEUj48VVPLbjFu6XP8gZlwNFFCiPqdxkbmVH5StUk8v9uarVxYefLuadTytcflhFVDV4+W6unNeE2O/z4ZRryA9F2dl+kopkVj9Nk+sxGRcihf8s+zcy83/YDj7Wx6ndwzRc+0lK6heW/gFc8soU3fFG2hAIj4eIYcNGjNoXWikK2rktOkSpPciZMSPjHkBZPBVSrA7zNhVGvRYeDZehiSLxqizM15HOp8k4vWC9F0yZ0mi/ixRGVLPCWNhLrSlbhvzV7h9iVhfXdKhmiA70iTUlByhwpWkd38UroXdjFWd5m+9OQkpWNbItvgOGwXXITOnGl+a+T3t0x8DbehOVEw/Tsj07mRhs+gBlUmZz9j00uRqjW5+4ZHUZpejrjIkBDMgkTCInVmTJ0AN/KqY+NQNGULQ0h6aeYunwJE4pH8oup9BSzh31jUSVixkJtBIpPkLB5HbcLRfQs/0D+jneGaPhlwnGj3twTsQpPy/To0dspXBtF7WFQ8SCbvKTKjdY7iV8VXZwnU/YNmQmRF9IJWWoQE21IsTHEeT0HCfG1n0aa8MHuCYuciJPpT+2A4OawBJcWO581spMZxAEUDSB+/tX5/x2Z91hEsopfjP+fUb2X0jtFXdhckxRbeggxgrKZ2QkRaPfZ8RmaWecy9nFk4vuJ2UUOehewZjZR6/RR5Xix1nVxS668Iy/fr2LpELYJpG0iCAITO4rYI11krXeUWqLbRS1JrAlVIyySlN3lKhYxus0fabJ0KjzdbVsFZKKh5n0RzhtuJeLxH4AEsoKZtJ3zS0jCCdZpewCwKVO81QOSTaFVtSb48wA1DmSLPPeCNPQ9MKvGam5l0hDrjJv8fClWIN1RBv+i7r+heXqZ81AFFfQxisD7yCpwWCGUHwqrjcvbfLoy1Uc+xjdF34Ie/HpuXVtBT14V/2ZcF4HElB94IuIqlnXHnL107bm2xTv/RpjDfdjceg8kaLpNQxENGYDpXSYWgEraNDdtRVRlGlofA1RVLGYY9Q3vEZ312Zm/I2oM6twV72GaEiRSpmJRXXORGo2hE0JMHkyn8mT+Sy/owODWaWvw0dRbTcN6EjIRKmXQI+TvLpsajQ8spZK0356UucRTBuYLn8JERAFjVuaHsY1so0S9zqcssp7BB2WsGhGvJoDYVh3Rg2JAm5e9Tv278u2c6hz6nyWTcUtvDKui72txUChpRLFZCFRUU+lpnJSa0MTNJREMasLT9Nh3Ygq5BMq/GBmS7tYNvVVXmGGExdqXNByMXIsn5cSE5ws3Q1m3YlqqR1i7dh6/IUSZbYUZZOTmE4PoxpNaCYzaCrGGT/pef2yzpowu/hcIKBhHewk1rwSlYVl7KLTAGPQVd1MqfMpEsJ5WDJ9v07ZuogadIdEjtaSp9jmummpFitPb72cWacHd0rlSManWzcj40oW4Kw6iLM/Vw9q6+7D8xhHGq6YgBb1Y3/6y2wtL2f/tvPw+3ysGjRTlNyPJGTP6WDlZm6r/grXZhD9f4X9G5n5P2yDrdNgjCCZFj683lNFbDimT4T11v0stT/FQ5edj63XjXbcSSJgQVIVftm8g3uDm6gZn8CcUHBGozw8tJRfda9nMqFP5B2hAnZP1KBq4HYpxCwmFGsu+Srf340UCTKYV0hPwULBOIAfa+9kOPB+Hg9s5cXoKrrFShTNyWTqy7yrbRVpdeF61ZZWDi4rZQwwB0OsC1TwSkiXiY+rHvYG72AwOE1U7eDxdSZ67LuxT/w3o6cCiI9Y8ezJFdEan/Ezcyi3nM/mjmAwJKlIl1HhzsqfT85mK5DMmo8mRY/gtYlWyhljbJ4wnKYBmkC3UZ+4TLLMkpEpqqZD2Pz9aFoEo2gmquhde30dt1LYcTN5gzswpHMjrY7lDsa+m2JotYlYZjD5pvGXXCqfYEVHiG+rn+KOgR/haMxEjxk6hFdZiD5VmgSWu3V4X022ZSuU0inATZFBjzGWxEVOlwwhiLojo6khoqknOFDym5zt+YyddESX8YSQq1h8U+VJJEHDbohzZ8l/IZCeE9c72zrDqEDZtMx4nshjZauZ0EooYwQ0jWVtIVaeCVHfqz/LEbtEh7OSgpkJhEiKg+uy5bPX8lfaGuzIIgyXWDi82k1PpQ1/vn6tnDEFedxE0UCSJTNBajOTbulMHEvcykz6g5T3VpBUmwmkP7rgmv09S6hbMAbewWjiDyTVZSTV1Tm/36vpz7FRTXPtyAM5vwnIlBTO4gnqzkxa1cnydc5cZz5vNpdQ6xrZhmfoYiyhGko6cpv+nbWx1BKGkromSLf4Msl5NBlN00jH9hAPfD9nnfo9P2ClXIFnYAf53deCBnn1u5HMUQTZgimqp2ziee0gaJhd40wZ/XOOjNy1k+VTFy16PIKcRlUNhENZ9Nbj0aP7tDGEhkL/859h7OhNBIZ01MpiCeEMXonRdhlkOiR1PVzN8KtFTJ7Ow16c5YE4S2MM7SkhHZNQZRP+k9cz3b4T8Yo/Y7AG0FQjnQ/9N+NHbsM5vI3CzpsoatcbKRYj8mHNh9uWojq8HGXetfKMXEDB0A4ucGbj73RMRyqWFJ5CQGO9YYgGyc8hyyBOj45qmxC5wuCiLFFLU3A7S4p7CQj6ePAO7b95S+8Bbn85REmBHvT1KBbkmP771oHreNOxz+KNllIU9dEUqmPaUoZizyIksts7h8oYUhYcsUoMcg/D1j66XVnUQoqFCfli/HXHBPt3DiLPk9CYyE8gn1MtN+HUUeK0wYl5fZzZUguzp4/QatO32WceIWjIIivrVQvhUC5qJqkKF3YcIyHIPF1q4JbnHmXt8adQA160p9wggChbcM42ccnewwtqom7Yn70B/hJdViHkcRN2deQ4MgCyM49WlvFKy0P8q+zfzsz/QYvOJgn645hKjy34bbp9J/VT47gi2ZBzu/OX3OX/IZcMnyLeluWPOPonGB818aK6mor2FK9OVtMbySeYtvLnwZWoGjwx0szRmXLaQz6GYjoSMR/qNE2OUBPqwTbUxZDRzAtL11O0CNIZFsycMFWTV7CFvfaL2a+uJ5h+F0l1DbJWwVT6i3y39K2MmLNVQEWJJH3uJexecwHFM2bkwdyqiuOh1SjJw7y40kBLvYOrXtvNprYzLB0PUbDHSr78YcgI7clRiZIXDmIoaMI1knVoBAHc7gnWmTay1XvdXFrE7F28P03ta09Tmx7gtCk7SI/sK8pZJm4voXYqiAAYliSwSrnifcakF+/A5YiqPgFburPHI2+R0awQu1zhm/K1c9+v7g0wXGohViCzyzMvahf0pmzLA1upHMym6iRgjc1As6OYQksFaFEM4VkADOFZjGIFDQl9EDGrIJdkkZ0ZDiNFO/EERlDnwcvH/VE+672W3zgvy+7HvA5HSXbAcUgzvCHvK3NIkW2erHnVpIwmiDxj3MU7ArrAlyOqUDyZonA6RdVwHFtUBkHgZFEF1z/1B1pLXMStWcRwrNjCaImVvXXFdDQ4CDkNVI3EMaazg3SxKcrygTBrvaN4TDqSY05pzMrvIKbsJBD7DpOpb88t7zXqf6tqktF5Ym+vZ1X21ajkMZn6Jiktl4j4cobjtWH2CG45zOnAvrnf3IZfU5sOYUuoqJpAWNZVfkuskznbsARz03zFrXfOdVI3x2dYzAoMfYykdJ6Tzb4fvy1bkqyme1GSRwGNY9O5iI97ai1FHW+moPfanP1q0/UIGYciac8+A6FaHU1LRPNY1ncrIiKVysJ0s73nNOaxfmaDWfQg1LELUTGBoJE2hUiFS5jt3s7YmD6uWDEiiA4k81Iks+7QJYNmps54sRUkkUzZe2wtSCAqZroerSYyupqZ9ssxu0eRTDFshVmOymzvhcTbr8bbfwXiPImJCzHiHbyQ6ZiTgXNUpn2dt9A4eSGVDv25PpsCW+LtolacZrlhnF5jF12GMSbys2PhEsXLDwNvYHZmDfdO68hOeWyS7bzIVuOLDIcjrHCNYxY03OfoFbmTBVx95v2smVlNbbiW2cLcSVwzGOeIusZ0EcWbO3igoYWDxcfod+iyDkI8gqjIPLZmmrAxQadBo2VJAC3z30tr/RwtyI5FpqkxZuMqEZMFTZOw5HlZEpBYGlrJQbu+XJ8nV534Jv8utHnuSG9BCVe1naF5fJDlI71YZye47tUXGXNBJ0ECmV56ppQHS7wQz99oQzBWtImgfT2SrN+nhC2XV2VLebjnaIpWlqO5+l93O/9o+3ea6f+gjXTqqEt18Ss53zunBLZP3ocogaIZkOZVIFwx/SqaBkMxz4LtdY266OzWB48/lb6RN0w8xWMFF7E7cgGbM11Vnx7VJ6dkfjGpAj1im4pLVE9lH86VHSf55P1/JLJkKxPuhVCmXwzSoJTQK/mxytuIqVkkRNFKGE3YuXLNT7lj8hhvPKMTv64Zb6MktIJr3TdQZbmR0/FL59AZTY1hcr2VuMMFmkbJtD4p1I8MIRWvwqA4MIcrSboGcLZqmP0K0pomitrXIIyup73sKUpKO3G7J3CO6EhLsbGUVuK47XrEJRBHY54aqJygfLSfyHr9kZ44rpf8zreOiuVYnRKO6RkqbjqJ3D+FM1fGJ8fKet9Ki3AKZ12uF3h1qo2uEjuz5QZWtIYJufQUUURcTuXBmxnc9BVAJ2kKCKxYeRlrMOBPq/iM2fih0FLHZGIIQ2gGazqFlIihlVxAfjobEW2dkCk2iRTbRJ6e0SfMhikrN1d8mseGm6nOi/GVNXfS3riKGx/XRQCHKpdxrbGB+46s432NB+e2VWxqJ+b/EACWvAEmS4NsWv1NljgmWaWdxxb2QQaOPjfl8v9j772j5LqqtO/fTZVz5xykVquVsyzJluWcE46YZMCACUMeBjMwAwwMMIQhG2MTTTLY4JyDJMvKObZaanXO1ZVz3fD9cUtdXeo2M9/7Au/MWuy1vKyuuqnuPfecZ+/97Gf7o3lSTpkyOYg3EUEtpSJMmVapmVOqarB3mZe200XvUTPcTOb+FZu0G4/8e/OeqdeS0i6b9Vh/GkoTGP4GGclgUoigrvkSUsZD5evXonjMKpMUaSQkrOeE6LN6aVVLV8HzrcmYAOB45HWGRJ2N3k7qpOexF3DBcWsznuxK/IaAU54gqoZRfZuJxpbg1+fQ8tp/YLU+S0Xmdcb1XnzKsyhiH1bR5OI8E/40QbWZ9a5fMNe+A0XMktJNT35pbpRq5V/pk7zsjF6Oni8CylOx/ThlH+3emW0Y7JE2Mr5uMMDefePU58rgOtJ1z2N3JPDPLRQZhIsRok35hfxS3IysunFH5tOQ/gPihj5O7ZKJhqug0Ng8PdGOomfI2seJ+U5QPr4eQZBJZVtByaGNLZtaKBTHBSgOU2XYMHQcFSbgHB5rQj0kstR2DekaEXdqMcMFcVyr7xQ/5MPU+KuZ35skl3gMyTKfo6GVuJw6VYrI4dAWVOsGEjokNPN9mlQNGt0RlJyv5H60hFbRbzlBcGAp0clGquuPcou3m7H07L55pn8NuUQbA54dCE1lwGpax1RoBlftQd5Z+2Ek0aDVasUZneksKYaMUy2UV8saGDJoGkiSCWYKHEV/VSedo7XcrJnP4PWq13m59mUycoayCgFVKoKzzjlu7KksnU2T5BSDfrmfjJjiogPVWGIJ1iTzeGoWM2DJMNg/H0SQDZnNjiNIFiupfBwMcOfdXDd0NftEkzM3V6tmvlpPX9zJscxWdAEWjPSwLJdn72ozNauLImdazffHmrbhSg4jq2Z0zbbm/eScw+ivFsX4Ij7zngi6BabJJ4qaFVdsLgtEH1ihN7uAeun/RF7xL2N/j8z8BW2gcwSdDN5AMbyo52wsOT15VvOMqFrDi5GPoOoCqm4i6cmsg7SmIJwj3mWkiqBnRfQgT1RdQ5+jCfWc1LwB5CqLOjJHteqSkGHjcA91E2P4+09QrwUQDYE7pnk9ESFFrR5AMkTWqTM72rZZcmQ0FzccXzf12XtONnH9YAZJWEhGX8Zix3N4pREUEsjWDkSpjAtPWJnf140BqJKJ6uVyE3x5C1EY+24ZwVmJaPcjqAoTsQCRQpfWam+xwsrtaaVKrkQWLWi5BJ7s56e+yxwydV3UvI7Vm8fQYfRAGdbmome6Kj/E4twxJstqmbBIjJysZXTu5uI94ww/IIOOwae0EMPoyCgMnrlpxv3Iryynv9VOzKNwutWJXlAGzPh7GFxRrAI6Wz4rF5aC6UAGoNbRiAxYBA13VkfAicNrRsDOxu+WJHUWOyQqEFgvdxR+p8hTgy1EcyKHxlycal2AqKnUjZkT2ovnXczLleNkNAu/7yt2ilSEHJJ1gly8AkE0aF59HxaXCTTXUYxUgAlmEqKDhGQnKdrp18zJbwkHkezt2PyzVy0IUmEMKyJJp8yxRjfjGTPVltbWkzPmE1dvxjBENMNCRL1n1uNMOvczmrQyaEkxZM0R7fWQ1s+QqNnP2NJfockJ4lV7OOE7wrOBrbMeA0AXs5xMHUIzDAxFwJ83x5SBQVpbwqHUWgTB5PUAvFK5lj6Hl7zRDIBVPIJX/D3jc3+HQAJL2ktFaj8WhtH17+CSn8MqmsTccM5Gf6aduFaFXYyQ10U0Q8ApRkkbViQMau1R1lX0I6gnZlzr0fA29HMk/AHkfpOUa0000JgopmhfzfUwPNxR+ntHa8lpOVJalmgmhKP3DJ7wAmTNwYjlHbgXxAkoMTLD9WRjVWQidWQijSg5MwoTQ0RVu1GlFJpiptmUzOzIVRBEdM2snunf28boYDmn+sexZku7kw4mdF5nI6/U1KOmt2FoY6jpLRhGnp1JjU8sltghTDKQNwhPyy2N5w06xzo5Ei6tBq3VzTRQVlBJpN2cPrWOtDG76B3AuKrxjBDHVv9rVEcLsqZSNSCQzFpBMJAKk3ObVaM2VpoCNzDITeuELhvmu2wJjSGmSwm0eecQhlaMsG8Y20DUGiUrZRmuKF3k8/okJ5t04s7CHC/AuDNIr38IEVjvOp9moZDiF4sR0HmxeYiiC1eqhup0FecHzyNLcZ2o0f1UG14a4jH0QgWSM5dFQSfuKabHtEIqu2Z0iPKgGe0RKxei1C4ns0wnMy2wGfaZa4InXqpxZk/WYc2WUS2ZjkRtystBRxP/r+zvkZm/oMWEe8jWbCLuMm/rsV8v4HxXBpu/WEER1uo4nF/Pvv5j1OqTvK3lAN2FXgaNzgh9Sf+sx/bmowSt5uJclx4u+U4/R7b6PQMvMTrtb1U0yEoizol+BsVJltJFnWjlrsxd/Mq6lZygkkfjndmLSo4TzAxQbmvg2t4bubZXZbogVUTP8rR1B0u1Zi7SF2CX9vKW8g/y6+D3iWomd6cipnHf1z7HUM0GTrbfyaJjD9Jcbr4YvoFL8Q5diO7vRU2Y0YO0/xQjyQzRQvhYco+hKQmkvAupop05hTLWeLyH1GthED8AggiaOekOlduBDNlxK1fs7eXrzYN84CQ4shqNG4KkYxJHByaQ5LnE+t5PZ3+STj2DlvwDC+pP8Fs+zaPkyEkyG1GpxcINxoV08XMAbNEWMt4ekhVHp27FWEUxImCIKoZYnFjsodJUx3QTSLDI808s9iTI6AsJ5e+lO9WHEjwDrvmccAosShpUTbvnbqU4NsK54jP/6E/+jUeufjuKmidpczLpr+SBQBU3jI5Cz3F+Ki1hf9s1fL/zK7zL+hmeU01A2WCdvZM7wE1NP2RDyM3Li3yM+SWcQpwf8B4CyiiBtz8GgK4KjO6/g9o1v33D4yQVK7/qWYirLMXNPpM7YuAkqy8imP/3WffRU0Gyz/4E5jcSsxcWB8PAdhIy6yHZdobTcz4Cgo5LMFg1shZClwKQt4RRcuZ9yisxei78OAgaDd2fJeKvxN6VJS8rxOf/A7VDQMcB1AkoCBtzWN+FzbaYZbElWMQerOJhnKk4HekD1NruKLnOBkdpefZA0seFjnvZkv42L4bfSzL6MNX2OOfV76XXFqBjehNJW5yhtAkg3tpykEeGbyST7eWR3m+w8I5BFu767tS27nQNRx75Ehd6ig5LTjeIC3akSGkqdXBgE73ZLKJoA/w47e9kOh0jHWoiY7kXTwJ6nl8DCGCIWArRD7eYI1w/BIWKRSnvRDQU8kYfijBzodLz5Xw8/B0utcRodVUTBCznkLd/dMFtLDq5n6s2/6mkP3c28j0s7rey/JnfYxWaSyX/MQH9GWElmcgPWehbj1joTebEitVQyArF6GEsM7t0vyTn0FQLKdteFKMWT87KzfueYcjZxz+PS9zsk7mg0Gm6VZJIJpoB+O2yL5G0RHjLkU+Q8J6eedxUHF2xoE/jKfYPL8Iul/Ksppc1nzUDGcHIEXOajkRZxMJkoYHmkfkLuCmziDpHGzF9JkCrTRU5jDcOX8WEGC9pf1Kj+zl10Qc4MzAfBhfOek/OmiseZ+mRokJ6NjAPJ3DyUIAydwe1nCBj95Gxm+BRFkRuyq7hT1ZTw+vsmFGq90NwFStDGiH3HqZ3Zv9b2t8jM38hG+g6gCtho8p2GATIRCykxGo6PMWBrBsiXYkOdM9LKOksE1kXhyI1nE6aIKXBEeGiqm6qlZl9Qsrzk9yYf5Vl+RM0pE1w5EtmMASBbEWxjHX17t2sOHQY1dXOZHkltsILH3LZcaZSrE72co1xkqj6bmSkKbnqEdH0WDPkGBUijLQ9xEi69w1/b7c0hiHAaWmUM/oK9kxewrPxtxPWC32MhDyaHCNr8XCy3cxTn1x0N6LX1MQQEBB1C3L5POQGU7gs5zzGkDBBPm9HKjSpjDpMr1vyN1NlM4FQrzbMiNdJVjRAyyGViYwH5hKeY4anhTMyIvBPj6i4MyqiYWApV9lY0YtgGFhc1xWehxNdkDBsF5IOZWnL95zVLeRAYdoVEKg88RZskbnUHfgIYt5e2rH7bLdltTTN4R5dw3ikCGyMaQJpupjHJu5DEkJkNIOxzOWAQIXsptJu3h8xOsq5VmVvptk1H5fsJ2Cpod7RjkW0IRo6tz39cwAGCmJdAI9fcSedcxbx/Hk38GLALI038LJ45I2rbgAaB1IMCLVYyrppGDfIiwoRYaZ3nhyr+7NABsDiUnHWpSir9pDQl099PqmV9jzaGyhyEdK77sPnasIqOqiyNyMgIukGtq5ps7aoTT2HVOV+EmWHCTU/Q2fNfVObbGl+0gSXgsGlzpdpHO4171FNC0vGBEDH3/4q0YL2jY7IYSXPrwK/JWaYC4FLfg4BqJ2YGT4XzmFMDqS8nElWo2Elmk2Q0RV6kwHkXHyqhcJZa3BGAOjwjFFpjbPad7ZtgsHIYTvDVU8xketDN3QUQWCdq7Qp5s6khiXrJZXyMTFugoyJ7vXoeW8ByICujmPopfpIfS9N63VlyGBIaNnjkAmi6zNLyJSc6c1LzhOUdcyscktFG6kfHKI1PLOCB2B7u42sReSqzX+a9ftc/Fcoag4934VhzF49qdgv5kwqXPIO1ennOn0CCgIVhpPKqm4czjCLFr84pYcFUJduYelAF4qu05xooDnSxpahJnIJc/4ti7ciGTIJJUrUNoFFV0h4i5o5Z0+vYyDn3FgnhqaAoie8gMbgecg5N4KmoGR9YAhUp0vBpmml5csX7S9GkFPS68SqNF5z7ycvZnHoBYFIZpY8T0ilQMYpSLzi2EHvsdWEQzOlDc61wGSMpKP43HocZRyPDzAUOsIZ+Sai7ibGls3jTMOLBB2D9NRvJmC4aNOqadbLcPsHKF/4OOlKM7KzJpQjkfvzrS/+mvZ3MPMXstDW/yBwfBzZapY3R2K15GprsIqmZsdY9tsMZv7IlWU/Q6VILHx5dC6jSZP70eCMsiIwzFV6F96UOXn69DROKYdk6DQMdnLB4GZkNGRVY93pIapkL5rL9PCWHjhI6xlT+C1dvpD0hjk06yZImSxU+SwTbmI8V5S+PhfMbFaO85R1H32+Y2T9Mys0XqswvaPhwvYJIcPj1j6eLlvCbk+AmM9syxD3niJadohTc1dO7VsmCwiCQNQSRaSYQpIL0RptsAdNFEDTsOwzSWap9CPoySCCIKFIJhFyJDfIgeZq9rSYgOfY8rexr7kaW4N5z+znRPAnXQpjmguHnCd4xbKZD0+w0xmt5MrB56Y+2j9t8vAPXEbT7s+STKgIkzPbQpjbXDr1b3uonertt7Cv/zEe6zM9bGHaynfq4nuQLaYOyWMDC8jpZsTCYynDJjlR9Tyn437iWqlHB7C24gauaXgvl9W9nQ1VN3JexfUl3zePlAqWPXnZHWyRLyWqmDn/ydy9aBNfLNkmPmiCDMEwuGRrkLaeFO/Z/DOe72uhLlS8D95zeDTp0OxNGs+1udf2s1S8DYniRGfoxXD+YE5nVai42IvuGhwXfIobm/6BTdW3s8h/PhXxFNau2acrQ8oztPJbTMz7PU9X9nBVxwe4vPnL7FaLIf8msY+GYTOSMlLdRFg1sHrN6EPYZ4KZEa2ZtCgSVmLcNueX/63fNt0GU14Gkua7qKtF1evfjX2Qw12lkYMGRxRZ0Li6rgtBgAXuovc/caKMWzpu4qlEJ8Mp83OLWPwt22MhwppR4JIIdHZu5LWtb2PsQDElqmshcvFfkY39pgQEnGtNl36ZymU/J5/4A05tYsb3SqGqz6Ycp2LxY8y/7T3Mv+09tN/6HnRbClGTaBueCYI0Af7t9gAvL3MgnSMW90amq0X9qqRU5BNJ1vkcy3sZmsYlqy7oS023OkeGiwI67e3bqclXcXjHu+l2Hp/6viKZxTetX9rK8BJuOvYRel74V+JZJ4/s+hAAg4XmvpcNlXK5pGxBi8YQsLnvQPC/k4rxjVSMbsRa6L/kDy2nfGIdvvASXPFW7hm7ccZ1nls1dLo+yZ2v3Tz197/XP8i/1z/IZ5q+R0Y11xNb5A16tk2zpKER1Az6Yo0kChzM5p5SIVAhm8FpmGMp5lrP3hX/SF42370h1xJOadVYfO8mZ61j38pPcUq6Dmu0iUeWfp09gT0AXJhfyFqfStNF32J+5eOk/KaO15JInk/O//PRoL+m/R3M/IVM7TvN5vE5lNWbnlBjtopbLVWoRhU5w8ZWKY8mwEn+k+r0zAduld0M2f6FMfXdnJyYy4reMRomY6wdGZry4qZbIJlhrLqK7rnFRaFyvMhmtdkOsSFyAH84S52jDaVmKYKjDEMqbUInDJms+FExQg6VYdEkmQ6enEta2UL2ZKk3dkIa5tfSHqLi7N593hrFEDTUgmZNX7NJHnOIsNZppt9iKUgapSV8SSPNYxaz6kNT89hOmkMz22agBU+ii1nG5/2OofkPkBTNqEXMYWXrogsZyi9Htvdj9Zh8mcDx0skz6vSxw3cJx1KXcceJmcqtouRDsprEyzeNPEaVEeZq6Tnc8v1A8VhxNUhmpKhhI2V8AMgZP97BTVOfW884ONX5U7JSmuy5oeKy7yIIKrLtdbKaSIX9OpxKaZPQYHaITPwhXht/nnB2lKHUafJvoPlT42iZqqhp86xk2bIcN43NHi1588IfkDMWIGfLaDw5HyWn03RCYmTPO4icvoDl+5PE82aE6V3W58lLUdbHH6KpK0T5/iFcr5eWfpa3mS0T8skAkyeuQlcLEY68wOQJL+lgcQFOVJkT4bkLq4ZKTD1H1n/V3SV/L/CtY8FQiEH3ZaQzZlhfjNaxfXgmWfZ0VkJXnaT67+aFvosYDJuAt9o7RsuQObGv7h7G1/HvtFxhgrrBGhudxhq2TF5OY6EXWpI/3+YiUbhPuiGwI7yBl0fbSKhWkqqOmtmPni+CGTX1AsNpD9vGm9gVNMFwnSPGHc0H0YEkMi4lj99SeKc8VgRF4PWl8xjP9Jec90z8EAOTD5BPbYHsOPbgKA55AjmbQNJMsGjoaXKx35g7GCnIbMZXe4BzrXzRnwj5c2ybczGaKGJMlI5Ve0pADHWSULZzaOMC1GmshLygcKrCXATrE8X0U0YRmHSLHLigqFlVO1a8FwmHi61rLiVpnylZkE/8iVziaTKxnzKpPkpSfb1kvBzShtjRbFZEzdfqWKw2skAtOhdleiVfd2m8OLCJyMBy+n0nsaSqSIumk9OUaKImUbrk5SxhDNXG6SMrWBB6lrR0ENnZz2VDl03xYwCc0bn4o/Mxcm4qJ03wb1PfuCu1ef/qOKamWDK8CX+qhnXRTbRH2pEKelMNY3aaRhwcnBdlV3vnjP29qgt7fw9KZALLxAj2gVMI+RzV53bFeQOwKuXBEe+gejjDmp27sIV7iaQO4x0PUZZ2IKsN5IUshxubOLTgLowCN0fLHieXeBJdHUbLn6Iq0YyoS0wqEZ71beMl707Gc6Mkw42kexpISxNkxQiiocBL+2a9lr+F/R3M/IVsf48fyaoh+c3Fr2HozbjjSxjPfY8eoZZj8jAKMq5sG5fZ1plludNsQ9VN1GQ7yKs3UebbhD2vsnhwAmkS6qwza6r9qSxbNm0q+cwbieBvM0lpazsPsW7yIO6wjfWVN7Ki7laEhtIu0cekAcoPv4KSy5ETVE5Ig1OksVisiuyRU+ROPM7DPV8DICIkESNHSSsze0xNt0D4d5xt85J2mIvwBldxYhjNOnkh+nYs4venPntRPoQhmduMePxYCt2a1TqDbPIIE+0PE25+jkTj6zRdXOQMZb2r0NUhXLVmmiI9biOkOElYixL2cd956MMb2Rz7ANvipQvlWVMcFyDKDdRlRvh6didfUH6BV36SettN6IY5Gc5zPsNEn3ldUtY7FY1xTC5CSVcgx33mNew4ycGyov/Vlyh6h56oj9aeFM5MltHMxXT4SrVhAMbT/RhakHjmEC8M/4JtY4/SGd35xvfbaqacVpRdSnvizaw+up2KadVsZ+1darH7sLf/GjbuDDFnfAy7lmZ0/9t5+sRlaEahs7uY4zuWH3Cn/WG+PPhFFg/IvJz8D+TvFdspiDZzrI0fupWJI28i1GV6sqJiEDzuZ+JIMTWV8RQ8YsFAm9bLxVCSLHD8eeAAEKreSPecm7CNLzPPObqAnxx9Gx/f/G8l2w3nBTJDd4BuR9UVgnvuRc8LKDYVlysKgkDrgpeoWFz0WB+N3sTTEx9hZPI4Fx0ox56R6Oh1c/QcPkpnY5EfsSNoqsyOqHN4zHYNh+Nrp75T05vBOLezssCuyUZ2xG4gr1uQBIMqW4ptq8q4n2sBaHYWxBjlLu7teZCullYmpoGZeD7EnqAZPdSy+8gnHkGeGGRO9essXnQKQTCfXT71PFON3oBs5gCS98mSq2m/9T2UL3iGzwtf4RHnnexccWFJD7Dz1v4WzfMcenY/D1y7kUccd/JHbp36/h/5LqcrzWivvdAB/PUOG19/k58fXu3jTf21fGO/+U42DZncrIHqJu57+6fZtWITP7vtw8xmev4kaBEqIzak+C50tXfqu5hu5x/alnPAryMislZtY5U6x2wXYAi0Rxbzb6cu4GljN6erXSwe2cjagRtoGLlk1nMB5C1RDMNA2BdE0QdIVMTwajY8+WIUccw2RlzMIRoylaHlKIXKJuG/sXwGgitZ33cTtx76RzZMdLAovIi2aBvWnMhF+yvYdKAcR0aiu/IYeUvRMRUNgX/qfztiPodtpA9RzSEnorhOH8Y1OYE8rUu8dXxwtlMjq5VMVK5BEy9HyTdxoGwPL60YIBg/SjKuISCipjcz5s4y6jYJ/bo6Rj71HHr+FLn47xDyXci6haoCl+h7Nb/lm7W/5LWBM3w5GOYz5WkGnq1jJGZG1QIZ76zX8rewvxOA/wL2xI+/QSpnYUnZKIYgYEu6kKeVE+Zz9+BQSnUo3J65vNLQxeJTduZ5VlFhqZn6zla9nODxJ/DYUuSTMuWpIp/AQCBb08h4damGxC1df6LtyjGyMZnwaYkWx7UYybW4FuxHLExy1rmlYdNQbpTGVIqKiQmG6+o4LE6TabfambQ52NVaS7qmmT9GH8anSlA3LVdtGDOJA0BvazEPq8lp5jtUHNM7NBc88Z8Kb+FOw0AUBIJK8Tfm5HqkpIA8JKDWGUyc10O+JjL1vaexuG0+8RjuBidNF5mLtzqyAIRRdreUUR9OcHj+BgLClXBOJHyp41FC6RxjlvXksgWBLfetNOW+ztHMDehRJ0vsIAlJrMq/M9lQQd3wK4yfuQD7y6tJJ3TQa6jKvRP3+EoEBGp23kXM2s0WSylhcG/weTxKGX5rFTH17VT2jYD0GlF9GYHCnKTqGnLBMzrXGwdY6f8hDvkoUfUuDEo9wrFlN7Bk3AR4tkQDc1O38N1T+3kgLZDLWfG3RlnIEapDS4r32OggnP8gsjBCneUYXZkLiVrehSocAXrxKRk2YubCL5UOcKnvNp5U30z0xhPYVRGxwJg1DIHo2GJEYOTMYiJ1LzDXq+KqTWHruRZHcBep8mOk/V0YgsbIwgdwj6/CPb6KrGMEa6qG/471L7mYVk2k7fSdxONzeWDELL2O5rz0bjmfhW3HqOh7K9d5NH6dKpbXJl2nyE8EsNZO4qpNkYl4CcwrdQ667c3c4/0cJzIO+pJ+/OlLqJk8yMuTc6iyx6iwmhGLXtVLYqmEaBiIF4TZ21XOt5FpqrwPp7GMeF/JYZFtNtRMkWsjSNXI9gvZav8tl2RDPOAzO2H7lvYwNGZlg9ZHuTVFh3ecBcNx+s+8lfsvv47zj+dxGgrjrtk7rgd7K/CUmaTuo40Kcw/NjD7Gh1zYNjzEy6PvpsY6gPGHB3hhuYPUPJNTcqp5AfO6j3GssoElx3fT/UQDr3Wcz4F7bpw6xuPCLRhpg27bPIJCJUZl6UtVFddwZDNc2HWQ8lgty3U/XzmQoue0CeZ1sbj4p+1Ofnv9u1lxopN54wGEaCnYQrCjOC4hLxlTMTJH3svn/hDhqRYL+1pE7urVsBgy12ZWkHL3EZ5/P5bOt9GUreGlud/hAyNmg1HBOAcs6yLWbDlZ+zh5SxRdN9NrZ7tbl5gBu6pHWJvNUTWLiG9nxS6QUjTG2nCkZk9BA+jpfQS7tmEpr2Wh1I464UI0zPNWT9o4U5ck4Xsz95w4QpYYxxynyaSKqaVG/wrUbIzh1GnGMn2IwRyBeSrpzjxSKIKYSaE5PRiOVvIOc7wq0/grXW23sXZwLSuPP4JkCKiJ0xj2ZVSv3IWagYnD3eS0EBilz1SXajDyvdSMK3SMvY1+/zFOl++n2z3K2mMBNNEgOu6k336cZD5KVXOE2eVZ//r298jMX8BOdR6mbTKFo9ycJB2h0vI+n76A5WpzyWdl9gD72saJ+WSWl5V6DoLFxbGyFkaqTMAiT0KgsNir3gB5XwX9/uLxLmEbi+b1YvWqOCpzyLUrkKtMT1GpLaqWykrRs8zpWcTJw0AxPZWVpoUrBYG8y8tIUzOqr5xQVTnD9lISmn3gFMospL2cpbSxn2QrLh6Tqk6ucBr3pIsJ1SA+raxSUFVWn65kxxWLsRYIn9uWNmOIpakjW1lR0G7O1Xun/h2JbcSwtWIRyvjm297PqXk3zLg+gHb7dq6v+j37FpZe/6jr3XgkiZ7sFaT0a4lrt+MXx/CwBUGADu9a+k4nGB9NcWD8VTwD65HyLvRMDLu+hEPdpVGrCoeIJuTZOVGcrEP5f8IwQKIohrY7ZZDVDVK6SjhbGlVZ5B2l0pbAJT+DSAQwiaLjbb8DYK7moylXBLetjhW0xTbyPt+T3Jr+DXfwaxZzeKpU3DSZpHYVUfVd1MpFns0T4X+Z9X4BXCf/FqeiTgEZgGy0DjFvppPkZDO2Y2YqylWbYl3FetKeHsS8E13OkPZ0k6jeS6LSDEVr50Qcy5QvvOG5WwU/i+0SkurAN7SJg9N6JS3LneC806eoTO/jTUNFHo8gJfh9/U+Rg61T1ySIWrF8HNBzAu/vfICF1jPc0mi2EJgzKlEZtqEaEn/qX0ReFxnPOBkf8xL1KoR9FhAEou2wqjHMxf401csOzrhmxRMib52W1vVeQcQe4nWXef5lmSwPRQyavEM83/dxrJLGEv8oiqjjVpM0hLI0RWt4odYEr3vmZTHEmVN2eswxJYY46J9d5yM+WElXnYPNK5y0Hq8i6BHZPa9Ijg35ytm5chN7Olby5IU3EE14ObD4xhnHecJ+K8cEE0hOukXyQrFEf+5gnk2dR2gKjfK8xRQOXTeewZUwHTl3svTdGKxt4YlLruK3l61EkEpTmIp9I5JlHjaxtBwYYElPjicDCl9rMSON1YYPuf1pElX7CTe8zJLUPOonSxdlZ6x4HHdsHu5oGxgCupRDNUyQqM7WX0mAK4bbMfSZhHwAzTZJGRJpxzDGuR5TwQw9hZoxu3Zbg8NIaYOLIsXxWz1pxUChPt/KXeOXc9fEDSxNtjOeNp2aVvdS1vkuY1Hdm6b2sQZHsA+eQQ5FTBHQVBzrxBCO0RQ2KQu6iCVbSikwoo8hFcRK5ewYsu33VC6doHbtBKJlDD1/Gl0t5diIchWC0szCiYuYF1zFpafeAQaMlmVpGnPQOmKmC0cywxyN7OSkq3HWe/C3sL9HZv4C1nJikJahEcbnmZOULbR+xjYdmonaE/kILsVHqziXR05+E6ffPmNbQbFz0fpPEMmGoPez9IzXMdq6iCte2szRlV6m+12rjWNsEIqLuWzVEWua3/BaNUPjmcEfYxgGcwQz/+yVSjVDpEQUzeUlW9001TMIIOMrtAUYG0RORJByGcTTJ7i14YOogkaGPE9Yi9dSr5UxKE2y2XIMMSfQbiRosH6P9cICtsffCcDepEbWchzsJpDxB1ciChLp7D38YuF2buFnLLfv42zZgJqxIdsyzL/lAY7/dg6Nm0rL1NPBucTd45x/4hHy/g0Yltn1UMrkXk49VsVHMt9mcN4yumrfA0A2F6Bmw/dYeqwoqT+eu5+K4Q8SzL+NRf7VNLoWcvrkz+l2aTw5eD81WQtBMcm6+juJ5Iq8paV9Y8yzTlJ2QYwfnSpNJyW1NtyyWXGwLRblPzdW4dahytbNpfYg6tACVjgvQUBnX/BxepN3YuBHkUy/R0BAl82Fa+2kBpbSiQvAGZlPYL6p0RHYdxvWpDkG09Yj2KdpgXjl93ODD+Kawea4n52hNvbl/gOAS73/Sbu9qONy4fYQW9YHQBD4Np8kMNTI2eSlIMjMC72LhhfmkvZ0k/acwRnuAAwSVfsZXPktDFElVrMDQbVOydifNZu4j2rrO9kdfw/frD/CRcOXcbPldTT9bbRKpbyA90p/5E5pK7fl72W+pRcAS3YLB6S7zGuRYzhavoMgGDzkOMFdgK81jq+1oLRqGKw6GEVLSASMIvH1rta9TGQ6eVozgV9ctfHzMyvJ6RJ6uUAdpSqLi+3mAuaomFlG+/DiTWT1pymPOQm5Qhjy91DFHFWFCpulmSyujM78rTEM/ZmSfRUxS4XSzTWnmvnjQh+/2eCgx3UJG8/3sGLwMMqZ4qKjxXTSYi2CAHndBMJpm52f3fZhbtp3nJpjT2Jo4zT87v38c4G431tZ6nBossKpFjOFOF5Ww3ffVarqfdZEXedNB7ZQnogyakkgUBrtXd5Vjy7UAAKPa3myYh+SroHgolK/EXs6SdrupLm/i/76NhbENG4ZzqO6biYbNSvRJOtKJGspr1DXIoiSb+rvxgmVLtcODGMjrwV/T6XnFAKQCnTyttiVVI9lyIRNzSeL5x0EHXW0WXtIDi1HzGbJxn+Cs7qRJA5i9UmkVPuUgroSHDH7KxWizq7xBIGJLnT7fES5FHRdnVzOXsspdDlDqHwfOwQrydqniVvDXNv5Hqpj89DV0jSQkI6RiUenIk7VIRt2TeKR7eYYOm7vZnGqjfGMOZdWFhpnajkVBAsUHMhY/3TwpQB59Owh7KdULMpGJKXIWTMMjXPD047KIk/HVZsi2uOm9SoT2J15thGMApHduhhrJkEm+yAW1828a8/X+O2Sf0EXDMSz4Mi6Asm2msEDszep/VvY3yMzfwHr6BkhWWZBrTMnXHvYnAj96idmbPtq6nXiuhllceqlQGZ/UiWoFr1enzWAVDEffxpWHTiGPa8yVFsaylyiS4jTxPYeaLoBo2ImwfgskS6UHSalxkhrcY6qZoh/wnMeSs58QSx5AyVikvemAxkARBF0A0t4DDlnvniimudUaDt2TabC8GAv9C2yGQodWrE88BXLUQz5FVxKL0scxYk7j0bQaXpuloSMRDHnKvctRTcElEJlUajbT7S3SPpsvWoUV01xEYn0rMfQrIxXLEOVbJy3/3cll68LZh+eJfYnGD/kQs2Y00ld10Hc8eLiUNt/zYz7F8r+Kxn9PERBwmepoLraFDLLaEl65DBxMccLwz8vXrvFgS9jIxwtQzQUNlYOcGyahP5E9qOIgkgiH+VAwENflcLRGgW/Yz+hzgCx+Cg+SxmV9kYurns3srQaRTIjfrqhoVqiGMk/T0B0j65BOtuv+HhB2M/VT7R1z+zbSwLlssD+9CenPnsp+jFSmpe8bsUwIOysQTAUXBEPg+l5LOgxUARzsrQI0FDI+9tjc0iWH8Ezeh6OwvtgFMBXPu3DN9JE3h5CEEbJWQdxSX9ER0AWJihTXue8kZU0ZoP4smZjUmFamvI/CfNx5RGqxXGeUD6Lw8iST0oo1ij9SfM5Kv4UPtVGdU4km1PQ86Xp0IpgDm9cJWCUgt0ya5r53glccvHzWN5GRlOIL5qLKzF7V2BBgvJFISSbisWdwxbI4PWPk7Sn6KuaIO7USFjDZJQkfbLMhChhAX41PEodOS61H+If2z5BRrCQL/iY7bbNrLQGWd6dZcSu0pQe4tjcNlCXYvHnMISzi5UxVQlUHuwFIDnHR9LhZvecpSCZ3KW8PkTIKRK3CfRNAzOibs4NmlRYDgRhBqm0MprHkU3TNj5AeTyKqFlpH1uLbJTOEaJuRdYcyAUejVVvQrfWIMp1yIqTZV1DlEWSzOnrQhcFjvpk5sQ1NJsdvNdjCA4Ux4Uz7m8281TJ362jGSYZZKvyOpm6g1PRtoznDNp4I/nToyDYAJlcZgupltdoWPIIUt5GPvEUGAnyE5Gp401vBWMNjiDmMqBrCGoeJTSOqObJabvQxCyT5btRpTRZa5B+uSjtnzRELgouwZUNoEo5tjU/iiZm0dTStLElPI6UPTtvCXhSCg0xhQHLCCEjSJd8hiWxViI589hnwcxoVkRxXjvj3gBYPG8u/EtFzYKR2Iqo5+n03MfJ8t0YWikIF2UdX2sxUuaqTWEvy+BpSOJpSOKuM50vPT+AYRiomQOgx9ByJ7BoNmoTHUz4sqSs5vsgKg0IgoScndnY+G9lf4/M/F/a/R+6m6UeD/tun898tmFJ1CHnPKTyMeJPxxHdn8d5yecBOOQT+eJlt3Gwa4TPnZNfP5TOMpAX8ckG5dOeimPdhzEMnabXvkHSaiVrKQVAT5Z/mC8u+fTU3668wZUnTSKfNtmNVGamMqLqOD6laip0edZUQWJSWYs9tZu8xcBIZ0uIgOealI4jGAZ1k3EGy8ycbGd0N53R3dzW/ClqdD9npDEqFIOabKkWxI/EFlq5jvoLtsIj5mfjlScRC6Hz7fMacOdsbOg0F735PU5yc+ux+U1vIR2+HPJuwIw22HzFJHY2rPDL1NVcDuSsfl5f92+c/3rxvpypkvn1Jg8//vKnKR/s40DzQpoxH4IAtHY/SNel7yAdnEcsVknFOVQgjVKPrKpsGSQ2z3qPHFKOk83vQS7k4LdNgkMMsb31OMaZ11nk34AiFbRBclH6mopEWeXZInF0IjNAvXMeVrEUtJwRtqJt+gUA5YNXo+hm+jDj7sU2rbeMM7SI2kMfpL/5u3gL5f9pTxepspmVE2etTBYYV0t/688mfk6F8xjXOF4mO/4J5plFTHxMj7Fa8qC44aXJo5Q7SpVfK7rNctPMNK6HnrcyfuB2lA3FXkuCYVB2MMrucT/r7EHa7Vv4hPEa0REbvXt9OC8dQ3SZZNz0vp/ytZWPTe3rE5MEj7mYOGKOxdvE/2Tzpo+zOtHIGt7K7eWmQ3Gw2sNkoKgF5Eq9QVvugtU7onSlVqOr5hj5zU0f5V7LV1h+IInFyBM2rGzfWI5tWpqlfsMY9RvGiJxx42uNY+v18HCmhhFnMW0YqvkqdTGJEf1fqaCTMr3ovHz91DdZvO6PfHXLs1xjeYDFzueA54jE3sWqzm6uC5ppla/L/8mSeQZ/SH2UuSefRssdRc8PMFneRuOwCebE5DIAumptHGyfy7Lju9ndPMGrG0qLAO56OUZfhcyrS84Bxme5cBmN6pTBXZuHiJQdBMCRaMKZ/O8rvTocbyanHsRVv59LO9dwSWeGo42bpr4/HteQcvD4+qXcvHPurMdIzGkkwVakvJPA5EpaxrLQBIdq/8QV86ctoKLO9vz3QKhAcd5EPvEbyPXS/EIvEyscKI6vkI2YqREpfS5Ju/DTDR0pGccVCWNki3Ohpg0SrzQFPsMVpkNwFg54wgupKKR1rum8hx+v/ThBxyjD1VsoO9WNCEiWRWi5o0hpc97SrHYQRKRMkhW9bShWC9sGHsY5KHLGa447RfJjl833O6jqSEozuN5EPlGsBrX6PoqjohspniNtFMf43PaP8ECFTN7opOFUIyICojIHxXkVjZs+ibOqmJJ01ybJxYrA1FUbIz4ogZE0SdiGeR/OSg5UJVp4dt1BBB2u295ArWjyJBd/qJgK+1vb3yMz/5fmGR3jlUsuxuM3Q9W2kJm7Nl77Nqdr5xMycpzMmWHGrzenMUSRx+fX8dtGhVMu8/afsgwxkBXRSXMyo5PQihPcfr9En1PCsuBGJioKwlmilXqtjI25BawK6ywNq9zel+P2vhyXjubNFER6lPSe+8nmxilTvsRE/gXG0r10x0sblA1U1qBLVkRtKXLWgxLsRdRKvU8lUwQlZ4FOdTTJ3NFSUnNaS7BEbaRK99JcOUR4/m9ZLhRDnQgCZ2gmFvQQrvoRY47diGKxhPNY83y2d9gKIVHTznIBALITi0gMrSATLq0EAwg/3cKuRUVpd0120Nt8NUrOnG76KhXcyQRzhkwwd3jJEsbP3k8g5vXS6TC/OxlzkdYNUr6TpH3HOdfyySCKaGWh7/wZ3wHEbG7aJkrz7yk9wKBnZUl1Cphk6LMh/1XD+0rKWGcjAgNM1r4w9e+h1d8o/N4Uw0u/T7D1MeJVxciLK7iU8qNtWFo3ARBx95C3jxNqfIFk+WtTGhFnbZ5NojAsqVcEGi1mzUYyvZBwvjTSeLHowS0J2ESBuUoP5fJMMjiANVGM0IlKlrppQAbAEAR6Gx0cGmkioYhMlFkQBJ3RvT4A1GBRc0QLniQxZCOfEgl1OUmOWaaADICk61x/5nVq0mdY4Xxk6nPfNI0cSdVpGCxNC/UlS6swLqzqxedeh2RZzETVajRJpXq4jyMVLkYSDv4wtIIuwYw4qYbE4KSZOnq5z0l8yFwsm5oO06EG0AUTKGiiF02uZe74IL3MThZ9Zv8HqdRLeQuW+j3MTxY/k+u7+J7rTTy/3EnWUUhBZPexvWWMsog5DwUSRY2o/lrz32eBzlkT9Rw57TDN48X33XJOc0f3/nGuOdA1BWSkvPP/F5A5a4KtBSXWjCFmERCYP5RD0gwkzUCMm/281p0s5fv0BfKkhAkigeKcpclJdCGPIFiYOzaHS9rMOSg92UoyaF6XqzaFpMwp6X0FMLa/gsRwsSRcSsaQEqW8LVfUnN+s0VAJkAGQsmnk2OwNRc+2gzhr1x3/EDXxOdhCScRCFFuyrS3ZRpAroFD4YRsfYvvEE6S1OEk1ypHJJwDQpQZe0YboMkJEC7pTotyI4jLBg2zfhCCIZH2n8YdKo4xRq51lOZFVx32IBXUbUW5AccZxVk0b/4aAzZ+jbl0xeuOoPI0gm9emprcXN1VHMYw8tVETdBoidDd7QZBIyTEe3/kfs96fv4X9rwEzP/zhD2lpacFms7Fy5Upee+21/3qnv4EFKxvIWa14fSZBLBtpILnlq5x0e+mqyLOzfSGdqSoe6b2foFycNL7ZYePNG5zcVP5HHoj50QBL6hhycpSX4xqfK/sVPU6Re1bb+YdVDrC4GKsyPeZKoZIr88uYp9dQmzH4ye40/9iZ5R87s3z2uDmgs45yXFf+Bz1yDLu0kwrxBJtHHyatxZGFM1RGTe/gWEFoTsl78E5UImUTZiVB1geAnHfhjSxEKNRaS8k4GAb+ZJp5Y2GuPjqA32KCgrFUD2W6i+tyq6hOthJpfJmU54/I0dLQ44lXl6EKCxA9pZNXyu6kcmKQbOQHxc/GzAUjn/KRi1dh6ApbD3yBXNo3tc3n+CqfeNtXADMCc9b6mq4kbzEXuqwQ4tJ9ryMaBlGPh7TDQf+mO6e2DZWXESuk1fIGvJbMsv3Ea/w6M8JZaXeA1Ov/idZlpslk+3kI0kyFz63LZicdB9I++gsE3rM2qXsYLDOv+e2bf4k4Lbw/kZlZvRLHQPAUw8NZby8nL7+L0xd/gLwjyOTcxxhe+gN0sUhsrswUI1Rl+T4QYGL+bxhc8RMGVn+Vk5ffRfcFxdTSJR6FBVKWlU6Z5Q6ZhXaRTe4/H8RtyripKICZmFi6CAiI5JJv0JmyYElZIq3Z2L/Iw+GFHgariuRUbcJclPTEGEY6TGpSof/Vcsb2e+l/dWZn6ObEGELiSZxCEQz6YkUwc8GOEIpmMCaZacajkUqeHS5tPeGSs1xf9jVygcv5+U038KNv/DNl31dwfNdO5Ckfx9ztHMOMRJ2gnftCc/jogIPnNYHYmDnmBMHg+kV7yDjNxox52wIAaiNBepkJyAEasiOstr009XeXo4kbln+fC9Y8hF5YkOqF02xrW0fcIfLAtcVS+StfNYX+BKkC27RO1AN1JpipnBzFlinqQ0nZk7w4/35k/xNQSG9PBxRCIs/NiW4UudDt2hAITBZFMKebxT2TIJsziuqViuolHK1EKCjaKhrUhlTqgypiAT/VhkujZU0hhSfPryJvmQY4BKb+Xjh5HrJkkE8G6Hv5XgZe+SyGJuGqTSLINRja7MBj2qFwDJSKTC7BFPAUMrNHbexDZxBTM7/r950gZiuCgUHvSa47+CbcIwUAKQcQpVLAYzHmYysIZgpannxyZtdbUWkgHq/kRNTNWbk9QRCRlDux+T+ObDMLPHbH+/EnS+fT+LiTirIslryIUaAiPLryN+xaVyT555NWrPGZY9FR0YWomPw8Q5veJVtDV0coS9VizZsg3ak3AzDgP0Gf9MY9sv7a9r8izfTwww/z0Y9+lB/+8Ids2LCB+++/n6uuuorjx4/T2Pj/jj39sy/+EHlJlFppEqfTfMEmwj7KIn2M1J8PDKKrQ6iZfSQsWYKByhnHCOuXsCiZBklhzsAp4u40KUc1lmQVO6okdEFgxC7QX1NPT6U5KS0uLOTH3SI/m2PhjFNkVUjjYyez2AoTwxlrHwszcyhLGfTb/gFfRYTG8jPYKzKk+pcROtMM+mEkvYl8ehuiVEM+aXZKFeV6PJH5pFyD2JN1CIi4ox1k868hpRP4DAdWVx2C4mC8tQOvJUY4B7snnyXvsBNX4ywZWU6Z8yZOnTiJJMRRvUWCaq5sZjluLJ1mXt8Yl27+NaCSSzxBwFhGgsWMH76JTKiFsy/zo+vdVLKQZbxOGju9FCsV/nSei48/HilR2RS1LJ/d9R1iYfPlm6g0wVet7mfrxjnIcZXBOXNYkW+ZkshLaxLBpjZApV9KUKMadKVVytJxejweTml5vBmwuK5HzexHlOvpdR1goHYul3bOLiW+vitLUpPYNvZHOnzncSaTx9m0nw8P6lw6uYM9KQ8IBnPWDJE3bLyaW4B9ybdojYuAwXj/xXw73Mwna2cX0LNF5lLWcw1J8SkssXtRXd+csU1l/0ZCla+TPav7UjDVHiz5u81drHxrtf7XOjC2svMRJBHDMBiOGSj1exAzVSTjNRzNCCQ2f4I51/zzG+6fdku0XGmQL4CmrnYXgcU62Tad3N5eBmKnmSf+Ci7SkHZa0dJvPHUtDJ5BsAVQjCgJvxWxwiA9ZkHd58CRVcmOWxjb7+H3ayQqmlO8aqljvtrM4zGDUM0y3pn8MQBlSj9N3gd59XsHIVoasbDpMo9xFU6SbBM2EpRDUKbgmfwq+2qtTGetvXXvOJlwO/sXL6TfkcSVyxDCxxNcylrHLsaaoHkgjWcWPo5dy1CbGWfYVknLBc/zj70/46axl6ZkERKumfLxomwuTne/EOXBy72k7C6C/krKw+M0jPRyqsUEVXKuB8EQaBqey8d6hslZnbgzBq8ttKOLAmIoi81aHBdKfua5LJ5hXDWH8c3ZgpbxEBlcRvjUJRi5MbTEc+TKfVi02cvvbz+Uxj458zdH7SJBj8icMZWlfWMzvs9bIliz5QT0RrScg96XiuMqHW7GUXEG2VVPZvysrpLEueRXxXkDWq4TQ5vANZgjVe1Al1XmWuZyTJDQjTdOQ5ZPxni61YEje4b5k/MpCy3mVO2LiIljOPNrQKpCju0jl5sGLkQTyFjcbyGf3owo1yNZFjJdlHM2E+XSCJ7sCKKmSgF8Tn2F5V1HaJw0yEkS4z6BqN1PYtjOyvM19jTFUSbt1G4a5p7aFFVK0WGy9Z5Pft52Sg9oRbKkmevbzclp2MSaV8kqMqrah1VpZPnwpahinvqIGT0f9pzGr/2/i4/8r4jMfOtb3+Ld7343d999Nx0dHXz729+moaGB++6777/e+a9o9sxh2ubtpHmOWYaYSPjp05JgaKSnvFMDNb2FwZpmsyniOSZ4nPgFk8/gj3ThD5teUG1sLi9UFD2AHQEDvYA9a3QfYUXgn5faebVKoc8l8WijhfvnFlM6X6l/kISYosLVhpi7gq41LxNYfxJL0zgTk3eTdxaa/mkRtMzuKSADoAiViIYFV7wVqeBJWbNleJMeBKAusBznxf/CwfZ5OMuWUGYppncODPyReLSbUHYEf/c1pGMi8jklmYbFWvK3bbiHy1/bzA3Pfg9nIZ9sSxxnzb6v4Y2cIdR5Nalx8xwPXO4hYRc5WCDQHWEpulBcbNMWuP+K0knXGz1DoN+Ld8wMwY9VFrpyqx7O2z3Ec2scGKLIoqQX77R1+6xOQ6eY4Vha43QO9i/5EOMNb8dbeLyC6EZxXIhkmcMj176HuuxqLIVu6H3ekRm6DVZlBUOpU7w8/gr7q51cmHuST/X9jJZQLwnVir8lhntZnLr5oyxfe5Aq+2GSlQdJVh7iATEFnl6scp5szkl51y1Tx/X3XEXT7s/imlhO1djniO4rRxj4Xsm5BeNF8upyGvd8mtksVrVr1s//OyYo5hiOajA6OYz66AMYz3ye7dEMYc0gn6ykf/PHprZPT7aQGClGFRDBXddVcszQ+1WSl+p0vU/mq14XsTf1ErtVI1X7X09bCwZDBA97GNhSxn1dq/lN73KO7m1i8qUAfS+XkwlbuP55id8ZPprzF6A5vYxoGs823cKkXlTKuF18io4lg0jndE+sjsTICjYeFt7KkNBItnUZK4+PsuqED2xeJieLgLbBN0ZlOMOVW1+kZVoacT+L2T6vlokKK/uXzi421pAd4+fHPgNAVrTypdZ7uK/hjhJ9p2NtS0v2OQtmasIaV+8255CzqaZVh7YhqSYYtqb3M29iDdnUPFyag0DKQNGhecwEGGVjpe+tPC3dfNbK5j9L5dJHsbiC2MvPULHwKXa3TKBlDyBgICT6p6IC59psQAbgp5d5+M0mD7oAtedEda0jveQKkRk562d079vRssX3PTm0DDXtR09ngBwIVqy+DyNZi/dItp+PZJmDxXUNVu9d2OVLQcniyAtYBAsOeWZl4JyKYkrZmtNYeHiEfU0dBIIrUFQ3GbqpHB8mn3yWZPYxOvockCum9RTFnG9FuQqr+3YU+wYEQUAQLAjizPMBINgRxFKl5LKOZ0u30VNcue1RLjtgIAAvb7iSH9wQRxcMrN48ZbLBxfNjNF48TKApWQJkXhwvR1v4MrpSRCy20UasJ02AZb3mBEKhnbyBQMgbASAlmBG3ZcOXsGrwSiqTZkBh2H2Kq5cV2zL8re1/fGQml8uxb98+Pv3p0gn48ssvZ/v27bPuk81myWanVSPE/rxi7f+pvbxgAdu4lev5E5fzLNFoFVEpy56ld6Pxasm2/YVQry3+Cuu6nHS2rGQkIBNv9/M8aUZ8UDbop6PPDHv603Uc9xd5F/+5wAXcCMCFrydxqBoDztJJ/aEWk/x1xCcymvHxonMPV8bXYRXBkMwJLB00BcUEqQIEK5xTzQFgoWzKX8jGHkIQ7AhSgAX2SWzOjZyIHiGUHWMk3c0qyzK87vnsCz0/tf94qpcySzUCpocj5jUcvScwBJF0U/uM88nJGOcC+ousFzBx1WLmb/8xYVcjYbeHb7z5Vkb95pD1bVfZXXsxP11aWt5riCJhl85vNrq4c6s5kSu5MOrIUc7ezbORGWd4nHQmw1d7OvmVfynVuo9Kp8RLiQyaLuNINmJPNjDkOUU+kwHRSt4yixYFcLjJQiCucapW4XiDhev2JKke2ErzyBD+lMCB5eZCLlmWIAhORLmWRUdeJtTuZPvIIrRCiWNlY8R8TnaJVopdrRN5B0eCC7m6xeTLyOF5OEILpr53nNOhWyqbS/zoLlyFCHI8PUKr509M5C9D1KBpxxcY9+7HLbiQM2UML/8uYwt/hpKsxp6YnRORIs22qExAyhPWFapkaDl4H86V70S0Fno/qToxdxNa0kLcXocmF9MdqfEF9G/5KH7vUUb7rsLQJRyVJ3HVHsbX8vqs5wRo8ffx7cuK73+u1eDcht8/WHITl7r2M39XD8Y5g2ll7xh5SWTU46LtHJ7XLYfaGW6RqPAkaT1/lL4xuHH5t3ni6Hvwa8X0xrw3jdH1WBVaoQKuvb93xnU2D3ZjzdjIuyo42VnH0iXP4nTHaFl9GlZD5wsLOK/fTJmJYhZBEHC7zevRJIFdK3wkotUM5Fu5q79Y8bckcapEoPLB+ltKznt00dUsONOHoEXMYxdK/rPxh1l4MIWenk9rj1mSXjfazzt//31iLh8Njhoi6ZmE238Y+wOpVJD80PVo2Y0zvh/2nmTDhp+hDtdR9ososTk3cXpxhgVLn0VWcnS3ehn1LOG94hbQDmPxbiMbacRedoaxA28mG5kZTY+5RTxxHacIDTmDE3Z4aJObC08lcKqAbzF6MMOVzvV0Wg8TEZLoupP4YGnaa/Lklag5xxRR1VmVpWrljxh6/T0IUgWCoCAqM+egcP1OYoNOBkIN5FweCI9jIJBqamfMU8btiQ2oeo6+yd3E8kGqJw38mZsxwg+R0aNU2TOAE4wslkxpNEkQ/XglkSVOke3JYoRPFHTarCLHpZsxkqcKz64KszptnIRPJmftxJFoRNbMqLKj+girq4eIZ5wo2QC2bd8qOdfBeQsZr1vJWNkfqKsznTeLYmBpmKn4d1FiKVS+XPJZ1al3EZ74MtnFOqIEgWVBJvdVkqlI8dyCLDdvAWsmgWHNIwhFwrCUD/LVn07w+qpfw0VvmXGuv4X9j4/MBINBNE2jqqqUm1BVVcXo6OxCRl/5ylfwer1T/zU0zJ6f/r810ZUmLJRxvBBUzoYbMAQYL5uJEQdqTDBTEwpy/uk2btpRjLrsbLfTV2Xn4x/9HN9eci2aPcS4V0YXLTOOA/DJ5Xa+3/DUrN891GLhoF8mVvFxDjpPsl8+Q8ZbnPmT4+aLLAjCjBAmgNWRY/4ZE/1b8ycxtAl0tR8texD3sVPI7u2sr7yRsXQPDUIlTHRikWxYxGKVlYHOaK6f8UwxlSGlk8ipOOK0nD2AmE7gjyWIOIv7r+mP4mrZRIu1DGegmvqhLSzufJKbXzQreDbu+gkfeLKTax7cgXOyAMamcU0aMgLdNRY66xRUEY42lnqGeUVhsdqIViCWGqMaZYYLCzKCqBJ2mxOLkvdgyXvxRhaiCrPj/pRjiAlvhMfPczEakNk318bhFis9FQKGNkLUJ+GPnqa595mp+y5Z5iKIDtq7trOrv4m+pJ/BQmM4R83sOWeLlEdb5GK+37y2mtAChHgjSrIKOePDESmdoOXydoxsDHXiJEY+TZf0DKpRBDy2eBONgzfhH7gM18RyLPF6dDnD+IJfTG0zXhpAI7j0fjJCniFVIaVDMNgH40dhWrflSCaJIcpEva1E/PNm3q+xhXT21qFlPeh5J4mhFVO8qP+u5eaZC8LRjjtN/pPVxqv1K3i2ei2150VmbF8VS1EfTrB0YGzGhNc0YobYmrxWXNlmbhjKc8pXxRfm3jPjOJVLi05Ry8ggvui0xoyGgS86iS/pwqW6UDWZgZ2l71f7ZUUOSbwKPJ4JBMEgnXZz4vhGEi6Zt9Tfz6db/om9no6SfZsypXpK062/yslY823kBZkxVzOCaENN78RQh0APsyrjQ86a7okA+GMhmobPIJ4eoHoWvkTo5JUIPeeVRDym2/D8h7G6Jik/2ktgbISWo4eom1xJOFxDFC9nyhqxzssTmBsj0L4bV3UnZfNfwFFxmvoNP+B3F7hKjjfulXhlofn+1ysi39hvvgP9lQqnq2sQDYG7RsvYmG+gwmKn8vz78MdOzriusxbt2YieN4sufK2juGsPYPVMYPM20nLl4wiSjrthN5VLfw9AzZqfYAn0E6i6kXrbXNLOcgxBQHV70R0uXlu8lidrZVa5N2EVHeiGhkcp4/ydT2PoJuCdM+x8w+sx9DDrvNVUKBLNluII3OSyMMcu8ei6amTbcmTbckS51ixjty0Hm0jWPk40cATEHI6KTsKawTOe/bRTQYus406U8mxONTSjKXX0NSzAVTOLZHHBXGMr8DlntsnJeUexjxXBZsMqMzJ2sDJF3KGSsKmIBuhq6XisDJ6iIgZx5c9XCf417X98ZOasCefI5huGMeOzs3bvvffy8Y8XRc9isdhfBdCoJ3VYAydYiI6AMzQfiJCoDGPPejFUB0pmhJTNwUS5mTe+LmFecyChzzieLkk8e/f1TA8kzgnG6S4vjQYMOUTibnOQebJp7ji5jR8vKRWv0uUApx39LK7YQ/liE31P7riH8IDpyVjcI+QLC+h0a1yX4ljWIB+5j4xRSijzTA5xxt7BVlsnLa4ars08RlJYQ5bLqbI1MpAqTjCh1CChlDmh1DnaGEqZi3B53RDjk214lByW011k0jm0Sh+ui0/Qroxj/7adaltxYbZYy6a6zFy37WXWHD+EPxYBQNE0Hvj3e7n9S98l5TAnE1k3uL0vx1cX2vnTeS6sqsHaI6Vh3NtGanGUzyETNAFGZNJFbaF7+KgYISdFSraXNPuMVrcZReCByz3E7H7aRmZyWF6fGya1+P2kfG5++KV/4VPvu4ZJn5+yaJaYw4IvqfHVN32fD/72PpSC0J7syGN4SoFXNmlHsKlYpDw/r33X1OeO8HyshkzTrn8FDETNRu7MZgakIHOabkGuXoJ93UdI7/wez19zHWsc/WRyFwHQawzTLBRTKQICTbv/GUPQOL3pw+hSGlGz4ycEmMRdA4NMWScOdzfJaEFHKXIKRAVs5vg0DANj/ChUribsayPpNMf8Cu03RPqcnGk1idGP2ebxtmm3bHrF2uj+O4meOZ+513wSyT57M9PsQoPgh/OMH67i5IJLEXUdAYFdegeehgza6gije3zFZ7VAJ/Q+lUxcwOI2UEKgVUE+bSPwhSAYBruDXgiuYcPAC7z0D48TqnPDutLz+lrS7G9ZzlbWcsHWrfzp0x/mNxvX44uOYSAgYJAvcMOCTg+eU6XvuCAYXLDxIUZH5/DU5AYWFYoGIpEqgsEmXttzG2cVCG9d8m0qciEeOnov7aleruj5JK9oH+H04pm9vAAeuqyR2x6vp2mkl4zwYzCKC1l08BWGl9Vx48rn6H2hjli/m8ScRTj6+hAlk3/RdMmX6Xt5GvdkcvYSaYDb682oh+WkAmQwYoOsTFUyHlzLC35zLM+la9Z9FWeIU06FjJzEpprv7M8vksharfRWKNy/N8o1G4tgZ9LppdLwIiPRhk7/6q8gxqBs9DST7hWzngNAcd1INvIDeifX0rvXhuo+joBI+MxihNrN5FIRDjvLqN74GdqrJpibE/lc2wK21Uj0eK7FkdpEzmLl7Y/8kIkLfPz7QoFHymXumGwgGz+JRbLRONLzhuc/1xyyCQwX20XmWkUkAWyiQO/AM3zzmZfZvfbLGKKMP3SEcMAklquWGA7DwoV6B52rv0xtXZDnE/BC4GXmTS5j/URuRhr7M8cyXDqW459aKnBUlM7fhgGGISPqIv7eqxle/h0A9nQvQqg+wSqnRipwAkfDYpgWFW6/+wS/HrYDAqNlGeYOucgnHgXXjdRveBVHZSfi/WYab6F/pmLz38r+x0dmysvLkSRpRhRmfHx8RrTmrFmtVjweT8l/fw2z9x1BzudICB6CI1dB3ENKsTLm9hNqWcBg+SA9NUmOzzE9tIqoSvyUqQ4sAJccmn2ynm4tgxLrOmey5xO+2wDI517jT75f4og+PmObcacFb/NuQvEyJqMVTAwUQ7J1G36AvbIKwWrDUpNEsek0XTJIbFQjpVnRjDQUct1uSw5/Tsa7DPpzC8jq0Gr0EVMayNj60dFZEtj0hr9hoe98ArYqfC0J6ppOYrEkqa3ppnLhOBZnlto1QVw1aezlWQKBJErrRVP7Gk11aE6DfJWBYTGoDgWxqsVc+0+uv20KyDQlddZOalw1olKZ0VFlgaRN5Mic9pKsvRLsIR8b4qQ1gwE4h1LYLeYzighDONJhZrPUtEDZry90E3FJ6JJAT5UyY9tojZ+J8hqSsot3fP5bTPpMsDTptZJXBCZ8MnlF4Ue3v3dqH1dNYTxMWwO9Ezonw6ULi5RzYymUO0uqA6mwKGjBkxwJFCc3uWohiXkbUG0umowBsro5SR6WhzjXRM2OpLqo7LqDcONL5BwjJMrNklgDnWT5IQw5g0crLlL2dB9qx2WIggSGSr5vG+6QWeod9rcT8ZopzZbyAzSMvoo73keb+CrDLh+POrMkBYMcedS0n2jfGrITDWSPt2PoCgNb/4FsysrR7DQq7bQWBrn5BtmqCKqikLNa6ZDGyWNBN8DbnMJengW7+dTD71VBAVvAQFRMIAOg2DNMXGXHoRaR6usNInlJoKJvkslRN+lI6bO9mO14iLN/4ypyisKqM2cQ0WnVJ3FlskTKTZA4GKhhy8orGeybGZ2qru5mzc5d+B1m5DIaqiAiBem3Fx2utGSj317L0+VmmueCaAxH4nGa+837XzlhesZluQh1hbTG72+4m+HKenJSlrPvbldzB7Z8lgubdyBKBoH5pjduHzqD4DA1qCzeQexlvdRf8J0Z13quVSx+FEUC8mAfKgImPXgaX2gRZ1Jt1EyM0cEbK8GeN3qI5+f9hJQS47l5P0EzzPEYd4h8ZlmpjtaIt4yagqOhOcdJ+boQDpbjC08DS4b5wuj6tEosQUSwtpARyslk3Ki6Qnm+jEzGTVq1oPaNsb2hnh16HEGAJouBVdDp8ZhjLOVwoUoyL95+A6KgkxcFjtUoDNSZi3UsN1Mc7myT3nPNJRe5RqIg4CzIGQCU7X0cZzZB3fA2nMlhOk4+jDvWh6R1Y4h5qnUf+wM7qW8aRpnMke4Gf8JJIuwn37PZvFa7m5jLw9ff+XFuHNFx6TJ3aQkEEXStOLYFAURRBTnHwNovoVniCJqF/tMx9qfMuEbK34lcVRoptUvQajXv8Uh5ETJo2cfwNO5CcUTwVu02f49z9uKHv4X9j4/MWCwWVq5cyYsvvshNN9009fmLL77IDTfMXgL7t7Lv//A3PP7MQ6As5skzVSwef5ZfX/1pNFHCnstw3cDveVXRUR3mA24eV6nPmi/rH5xZekfT1LWFGHK8cYOyxok8ZakRlo514nSGeHj5egal+eiKOSMrGVMHxRl9hLyllby9KFyWt3YwtPmd+NPVM45r9Yyxa+332FMYxJ+qSuO3GJzYV1Gy3Tz3BBHnO4k55/E4QAjKgd2sYzeQtg/T7uhjOS1cUfcunh/66Yxz2SQHl9XcBYC2J4Hrog+ZXzRD2TnOlb5+HnKsoN9hidB/8QMYN5ghcvtuEf/Pi0P2hze/lcc2XQHA0rDKA7vTU+j8mS1JYmKOyy8JMBEo44G73smKo4dZtXcfuc4n+fkcC7/4zJf49G/v44rXXmdRVAAF5r70BK3RQfatmk/UVeplvLLEwYE5Npy7OzF0GTBBck6Z6RNEpk1gf84yVttUlNFVa4KZA+m1LHHsQRJ05kUneEJfz+LyYorCHmqftWNvKnyGkw1vIhvJYy0o/9a0v5k7chBQnmeSMlQ0vq21cz46AURG1Bgvph8jV1HHnKTCRf2XE2p+hp7z78U5vgzf4CZ2tX4Uf5uZYglExhmRQTA0RtauZz4msXFQGsR2/GH8oulVxzxmWlUQc4R8Bp6yOKv3/QfptQ5yG97E6Z0T/FDJcF4ywwV5P6EtN7N+5+do5stsX/clMtG5vPr6t/n1xQKbTj7If/SZY+b0pg+hWUxw76joJFboXr1QHmOhPEa/VkuzNEzTxZPcf2gtG7v6MWbP1gJgu3AUx4leUhPNU5+9cMXlLD9wgIerNzCv8ySnbfX8i+3HU99/nAcJ4eV7N78TA4FrYs+x2nOC4V0+fiSZ4ZxhXzkDrQtxH7TQ1jfCeeseRlGK4Sh3YwKHvyCetn+ChlSEly4tFbQDeN23nI/3/5LzkjmuOC3CoUL5tejFwgS3tR7DbtNZv+ZXTFjK+PWb7qHj1CGuffkPRF0+hmqaaB85SqAiApwFzAZSJoUsBEACSekpfHcUvW4b4lCR7Fq7/nt46g/PuC5Lj4A4TfBPmziJre5Wrv/h7/nQ+B+Y+FpmRjTzrN041MU3K7v55SqzZYKSW4xaiMb2emwl28btTmSlHFRzoY2c3oR3q4gztQ0lFydvcWNPTRBw2+gO/xzFdSOSYnK+8vZ6Hm39GQDf7fk01nCSxIRZ9v6t93weW+xhJjWBsGbDL2WYRydHWDZ17vPZwvv5Ho9xM3/AlHHY3jaHqzohq890RCPOPM6MhFUtrf6rspdyhDQxg6EriJkiGJx3+g9T/16939Rq2XLhRsqqa6hb/geUXoGK/1D4EHCoxYdm/wbqsJnm9LffiKX5Ar44zQdrsnQSBrKSFTuz9+sCsIfncbjjbaRzX0M3suSdY8jpAIKmMGmoBGQToM2xaiCA2n4hHDJ1rFw1cQSxoB49J4t2RCLmeRn47Bue769p/+MjMwAf//jHefDBB/npT3/KiRMn+NjHPkZ/fz/33DMzr/23toYh8xb217Xy6ror0Aqdj9MWG9urP4/VfRvhcrORZNO4uShrGAzJOm+a+yTXnTwFaZU7jF9iM0r5Equ7MlRFksS9phciaFbkWGmESskWUzvu0INYU3uZmzZTOm79klmBTDbxGJ2PNU4BGYDtSRkhA9mIBZtkXudIIMPTLR5eqOpkV8OThOwjHK/cTl4skobt6Vr2yWd4pizJzxfVUWVrLjnX8sAlbB37PXnd3EfKu2bVNZi6tjaVaM12xuf9lr7zvjglgQ+QXqNjiEXvx13gZJRldX4yDcicNaeapzVq3tOXO1YRndYV9xfXmiTKr775/Qzc8l4ExYaRS6BHTS9x5fCPabHuot5ycGqfsxLwt6jH8HhnTmYLJ4Js1DbjMt5YQXk2O7hkI2WxNEor7GcloZEG/jR8E94hKI/muGCwl2i2eO2O8HyOGmZ0Sit44Nljf+Soq5y0DY5YZvKpJvNfBOAIBjng46R4jTwfk0W6nHOJ61bO2DIMJrtwhEy+RrLyIPvq/2UKyABYtWp8kb006p1cSDE91COmObB8OaPVHgy9uP1gIM/di76AXmO+F/ZdKd73p9/w1lMv4Mkm2Wu3ose7aev+I3nZiQD4Iub4bYlC+dgfWZYsgsr6ff849W9P2QAYYEsVx/ifpKvoGmnkqd4LKM/B0TUzx/+51tHxGk3NB7BYzGeadjjYvmEDAF3z2xFyWR7lypJ9AkS5k8fo4BRNHjO1oi62IUoiOgITIxJSX4I90VqCuoMjhy9DVYvvW8tlQwgiZCIW8ilzXA0FTAdlcfrI1HapmBVVF3ArOea5g7S6Jml0hKlxZKlyWKlUEri1FBvD+6b2OdG2lJTFxh+vfhuNQz34FqSnip9km4YtYL6LomK+h9FecxWc6G/Gc/IUqmB2f1Mqj6AnZ49qW7tE8tUGmdXmtYdih/hmo0pbbw+pO9JIgk7E8LGVTURGbmMvqzmMmYpoWPkwG4ImcPPHDa5+7WHae05x92O/5e7HfsunHvoV6450URENcfW2Vxi0F6IGgU7GDrwFf8Tsw9TS8yTVo7uoCB5E0XoAjXyymKQ3lKJj9ljgFeqd8xhpaOaVtQsQ1H4c8ecAASLNAHyEr/NW46dcaTyJZOR5P2Y14I08ylyji/XGa4zXzKQHTI2JhIVs2UzuTEWhHcH4wCsMjW7mgOUMTzj2cTK04w2PBbD84BGafOa75Hq5OLst7ellxfEiX0sun0loTvvNdWEzl3CauezQZxK5AZ5zLeR001zi1g4Gc+Y5Mr7TdEVu4cFYsfv8AofIm/055vmDHFhQgezI07ipqGydXqsT/FgebeSvkwX579j/+MgMwO23387k5CRf/OIXGRkZYdGiRTzzzDM0Nf3/V6L8S1vbRIgzc+F0y4IZ3w06W8BZVOJsKihtRqxpfnTFRwAo7/IjvbyL9dc8znU8DgYcerAdq+eT6FqMcFUnCOYLJI6s4bxsNb3TxqWom17qZe481/gGySV/zKu7v8HpiyHmasCgVHNlf90LLMu/zOBoaaP28bxILmoFBFb4h3k1Xsvz551l5ZsA6kC96dWMus9wcXexikjS7Awnd/KbFdfzq7vu5tOvvkpENMPZar6avR11RF7/Nm2eFawouwx7aD5Z90xBOIB02UnSZW9M7ss3Glh6zV/03olKPvB8nOjMLA8AhqjgjvaDfz7jngDPL1vHJVs2E3GVcpDefvFG9j4fRw12cTY8X1kxSIf/qwxklzCYW0bUIRJyiXhSCS5Y9iTPKTObiX6o/BN4SPB9PsoOLpjx/Q3GozwuzCxdfGnDFazu7yJnG+CbwmegDe7e/Djd2iJWyZu5lj38qLMM71Lzd38nUYVVyLMImaNoDO++j/OHj3C04wq+Ef4WXjHJo0ol5+U3zDjX/kKfq9Po3IsJ9AbFRdhyee6wHWRH8E/c4vxHMAQQDNwLz3lOVRtYoYH7nC7HI2KYWEszfS3NeEbGsBaiVseryjjjcHDXZV/lvv2mJ37HSybYWlzeyb0b7mHx8Z9SmY5wcO6NLDv9GM7YGahag6HLXH9oJUtcRU/XFm/iSOftLJ7/MF7vGFJeNrsgx+YRDLxMUrCjbVGZSzeP33A9gTm9lDFzrLmelUhcVUzJNTYepdLby55DN83YVvMEOEKAcsJcSLF8vY1e2uid+rvSEUJExxOOQSaLQpYcIk+xkKbJxbz5lVs56f8lrH5lap/EsFmlkrVYmfCZi+/Fgzv49NzPE4+XcbD3aob0SprEMa6rn67WfJQtY8W55eLJnTxadfnU3xFfOXlJZsvibZznK/XMXbUpMuEAolSGYRjo6iCvv3wzq7ZspSW4l+6K0/TM/xR6pBnfpu9O7RdWBYYyDha5kuS73KTvjqLW5imLyri7QmRH9pG4UiezwnyHLCcF7u/4ByhMNR3GUZZgpi7ftGA3p7qb+NTvumkMavBUabf2q7Y/zbMXXMRVr73K3hUbON12EbrnNJZsFGfK5ChlbQEWdP6SiG8enZVnCwFSZCL3Y/O9D5dag0W1k5PTjCmTDFrHeabtAJIewz9WBD2NYyuIl3ViJ8NVPA3A4skxmEa1+wL3AhATPPQ5V6IlzTlx7+LVrDpSVNz2jJn3Ou5IUx5VyCoytZYG9HQY+77fYQfub76AlcN3MBZ78A10oE3z5iXiPtORlcJvEOYCBGdpNF2TU2Q8vQBsy13Hr6zvYkFC40Kjl5y3VFV8s82UR8hbOzid3UWjVScV6GQ0/D4G7a/yxWEb/1KboUZRkTBYwFECF1Qzb34fsr2Ur6NVQlXl7X/mF/117X8FmAH4wAc+wAc+8IH/15cxw25vL+d5VQf5vw5y2XI6IJCVxggeLqd8SZB04AQXlxtTgcDTTzVgaCL59DZSrjF0uThQlZyXOcNprt4r0lMps871TfqGN7F86FLsi/9A5chc+nMadZMqsmqQtIsE3SIVcRMMDXlOsbf+OZJZlWNzSiM8PTmRwX5zAYoIF6A3TgDndKR2XYwh2OjimRIwEwiuZrJiJ+997QkO1s+dAjIAW13jeBOjpGtbOCzF0bJ7GRzNsqCAQ6WoF80bRVBtiJoVzTqTYT/dgp9SObzlLRzzzuMdqRgtCR/eWXSn8uRRsHD3RCP7ms3P9sxfwg9ufxv25MyKoS+uHeC9h17CuRuG6mvZ3X4e7+CPTJTleLrVQW+lDIJAa3CQuxt/PmP/K6PP4/GYwLIpOciOAofxLuPHHI2vZJ17M2vYgceI0EQvJ+lgbKSBrbUm6Hn00ivpEoqe0N7WDjq1Wm7r34wAvDWaYfPBW5irHKQ7bqGfPGViitc0ha8ETbJeqsKGTzBD13ZxF6/L5axS67BSJFQeOEc87KxlUMgZIlJzPS8OPkSjLkw17ztrTTu+AJRhk0rD6JuVY8RE857GlBghX4j2qPlbemvNHE9XQwvn2rJgN+WVOarSETRR4AvzV7PeY8fn8DKnsE1NvJX5oshOpYu93kNkLCmSozEWzhOw2ZLY9W4MbRktfc/hCY8z/7QZVcg16Kw672kEr3ldY31zKOuLkJ70M7HQS8u2SfxjA0TuKt4PmzdBXf0xhgZnNmqtGR5GG1Mxls4qF2XuT45qxrFE0vzBauGTyz30BhS+fDjNpkmdo16Rx+reyjXsxIEZBYqOunl+4w0cXmA2UPXFw0i9eZgLbvckzS376elppomZ4nErA2YU0TCgtqeSe49PkLQqPL7WyWTFQt71coxRz61UbHwQAF0XEEWDQLuNxJAZ1Ta0CTAyiKk05QnzmsoTWfokL97K/SXn80gGNnuWnKrg7EiQqTXHx/gqmYYunQ///heMfqV4P2t3xbg0vo2X1phpq9MU+UOSNcUHNjfTGDynxn6abdxr8jDqe0/ybzeW8dFkwCSdAwlXPRPly5jT8ySeWDextFhMaxlJND2EJAaoic2hL3CUY45u3jf/EaT8TJkOf3ApcX5T8tmysmdnbAfgIcbgmutZt2c7TtnDiar1PFrXzs3P/apku6EqnasODBGrbEFpcZPrK0oPfPDRHWxbmGBl5wEAjrVVUr90GLXKwDjgQ0lsxHv4WYxUkLCxAzkDSu/sg+7ZOz9LrUPm/GDxvv9yyRnWCwZKsoq5CR+91dDpFqjb+jHitdvYVZlG8J7EQoZFHOIkC8jbOjgVkbgYlWj9Vm453kxVwOA5VSJIOeWY4okN9DOna4DcvNn5QSPHDsPFd8763V/b/lekmf4n29U3vxl3KFLy2bWvPjpjO6k3wYBsgoqq7kMYfWZoMOXrwlZjksmcfeeTGDIXnpx+mNy03kFy3oloyIiCzMruLLfsSNLR38T6vpuwq2448C7c/RehnbkYWYf6giBV3zRy6nPzH0AXNY7ZiySC1Sd8OAWDvCHQEzM/786/iSPuUvl5XfSQCLyTpP/NqHI1KSVM0tU79b07av6eZYOnS/ZL62nmJUZQvWWoLi+HvFFODtchpEFMgO8VMw3gCi6eSm/8V7ZqxdO8tKSNDfl3z/p9jzjKaAFQ1aZKw8KPbLqah66ZGR15wreAVzY6yNfovHLeBfSITexiGVevvJ/9c22EPCbuP9g4s4x4/fBBbpbNDt3Hj12IeLQMSdeoMMZYk97Fm45PoqRERAyu5Bk6OM6NPMpVWjEd1FXRVnLMg43z2Naymi3+VQAo5Fgae4H5k4f4qfgfaMDDlU9gxEbw5lJkJIX6sqJaa7MwwEm5n1ZrqebD8TcAMwBjupuQtRpf+SBDO0q9vVNdayFei41SIDMkhjgtFYGxJ+8h50yjoxG1i4z5zO11SWLHouUzznlVnxnp6ApUk5GtvNK4EmtFM5ZpjughxjgqD2BLBnjZtwvfeIhEzByffs8g3Y6v0dr/MqsOHcGVNMFc8JPqFJABMI652MHVHCxbR//IQraXz8OxW4IzpRyN1tb9WG3npAkNg41bX6Pm5Ajh7j/fqbyZQVrO9LDVG+ZktRVDEjg/ZI7Bb7dbeazOy5NGkeu3tfLGKSAD0DEaROoeIZ8y71tDwzHG7LOH7l0FDs5IvoP9iduQNQlvSuftr8ZZMtaBK++lLbIIRTKf+fBe812zeiamor1YzKiVa3QQd8b0CjzpNHI+SUNtaUWSJIBdUrHIeZJXFUn46fnmtRqCgTGtnN/aKfLPP/sBSt68zqWnu4hEikUbLeKLf/ZenhXQrA4FmRQuITq+EF/EvKawr40qbwUZWULUNTznCHPGZJMHVJG5GuOsHkr+BLPZMSmInPH92WspMc8gayuuYZH/Aj7fLXGmqZ3++iUlmzjc1YyWqbSIZlhKHSqmAR15lcsPHpj6W1uXInmxTnahgXBVGfWtNyH6Cn2mxrNYzggIOowGyvnJdbdO7ffg9bfxHxcs5KMrHTwYMPWnJi0CkXIzsu0Iz+fazj7qkiq1abBk/fh7r2Gu60Va6aaeIU5iZhRUpZHufNHpGVvwS+YFxvhwZZLjmNEbMetGiFICZHJxmeDx4r0rd85syfC3sv81kZn/ydacGORIpTm5BradYV9iHtfv3UrabmOvWo/FgMi4wVMO8OoCP87lGEkvRMwdRLckidZtA8AbWcLygMiB0MslLekBHMMJOEf3I9l1RcnfYdVsXAjQPJ6nt0rh2ZVOMpmXGSjfQl6aKZBXPWknOJ6hpyLDE0snYekkUFRqrY2vojnm5pW2Ilktb1vAk4u+i6xbuPboR7Fqdiy5UsKrKorIuo47n6Hf0kxOknlu4VoCyRhHL5zDI5iclQfOfIn23fdiTdQTrX+UeEH5vG/fcppO9eFv+SfcRhJdSTG40myqmHNH2LrlMeovfJa39Gp8pCtLXoBO8TT9YowJMcZ82vjAWicj9v8+Xv+WcC/f+hdYu3MfnvoMN9T/+eqODuMoN/IISz3H0RwahgHRaBUeNcWb9m8hUifydc+nmet7lk/ueiu7ytZgPb6TfKCPxouGaaw5zVfu+wr3vv/eNzzHHUu+ya2jz/GH6itpS/byzIH305gb508vfgZbMseox5y41HIZpc1KdcsWzosc4teHP8W9xvcRBI1qy93kjDmsrfxHUg1l3HB8G5G0lf68kwGKi0tEt9AgwRHHClzHDpGNWtBrAmTkciKRGkbFMM16aXppAo0jlU3khlQShoWYYccnNDM2d4QT7QsxRAFrOkXW7uDL7/wgKzuPAvDJXz2AO53kzhfMhnoHA8U07YWGh3JPhp1RELAyGK3g/N2/Q5OTdOyCPr+DSMyJxzeJVDfEe39ZnFxPt95A/tY+vMrukutc+dpRWhlm13lrae3vpmncrCSquk8juNKPdkeRPel193Jhpo+cbvBr4wpuf6bY2HNsn4+xfT6ObFrAAl8XC639DO/wkRLtzF07gssZY/u8RSRde3lp79c44WxhpHIcdAefGARnX5p9zg5Gj3XwiRu/BKWNxgkVgIeWlVAc5r8rV+6HbbOPj6whcjI7s1+SjTyNl34de8D8nfmUj0Tfv6It/yiSJYXVO0g20khaTCMB8xJFB0cANr7+KYLXvYEy7TnmKEuhW2XUSgOjgA0rviwjRU1E+sKH30FnYwM/u9rBieMXsmTJCzhdEXJtOvbDxfczabVwqspHY1gjEC+tFvrt5z7CUKCcupAJ2F/t6KFi/DtYXXZqIwnO6x7mqeXlCLoXARj2nsIfXsmqvjryXMmh2idpDi3moq4raT7zM75z7QQhj3l936j9BUt72liQakbQBdpX/37qvOOHb8JZ2YmzugiEGsSjRGtihBtfpPbwB5mTcLCq9hpq880cHDPHc5vYztMremmKLkE4/jja+FF0xSD8XhVlSMDzWHHpLT+vKOSYLTvNwIpvYAuGsW2jpODhQPtCDrYvhCdNsvChecV35hLL7wge28vemyrYkDwMTnCEOlihweIzJ/nSsMnbyfi6eEq6ir2swUGKo4LJY7qXf+MBy1xgZpVWD61sZDPSaBLnq1JJNLPrsWbUtEw+KZv/r/l7afb/alvVN4iSz7FoeIhU0krYEqA+ZjAnOEzrxDDRMQPBgJQIC2QJ/9K30Cw34gibXv5ZdV57eD7zvKuwSU50Z1HefE1mMUJ2BOOsWm9BIE4zSh9fb04nXZjXGyaKefJXN1xP02CWcysHXSkJf0yhauyNvc2Tc96FXWogoF089Vne2kHYFmLCMcqh2tem5MoFvfji7W9sJzQNkPWWVTPsr+BoXelg//c3vx1Ll46UUVEnxxDyTrLRZXxm1WfZp61mj6MOe6wVx+QClGRx4c3LSynPqZwXND3E+1stvGofYUgKkxc0Hmqx/HkgY8weJgXYu3QxL9bP5Juca3dlf84ijqA5zZc7n7eRU21kRQFXOs6LNZvocbaxo7oNiyazeExjieNqoj0egkfNSpJl+YO4ZmlcN93+UG2ST085m/lF7Q2MnPGjpPKkLVYCKdMjra+Z5Kst7wFgp28p2/3LEDHICBYkRvmBWkuw1Y3qtTFQVcN8YwydUrJRr25GYwzFgur0EB3x0R9awC/HLgUERsRIyfYqGg/qOvvCNRzRaunRy5k0nJw2KjjS2kCkwHW57ZmfY82mSTqc7OzwcrTmdR65uJRQe7jcTCz5EJiPxC7rCZp7i577UN1NNAwMsqRHpSIrEI2YUYYmdxYDA0MyyFlsjCxYirepFMg4tokYUQlfNMoFW1+j7UQ3lqg5bqSkQNXWJP77i2P3wsBOFnKK5eJp5oX6cCZTaGKp3zd35xmGbE3EIzZi/Q7UXoFcXGZx9hTfu/Md/Gv4fhYlT3Pr+Iusix5iXXwHl4V2sD56kH8Y/i2fu2p2ADtYaXryA68Vicu6KDBSaUUTIXcOdaJfr6MvPxPMuOsOTAEZKCh/GxLpCTMC6KjsRJCyKIo5fuSQyaXQC0xhzWWQ84zwX5mOgCgY5OYaZBea79TQmI3fzC+9X/P7B2gZHMDISPQPmAguW/DwUxYBVZLY21zFsN9N57Qmo8Y0xt9ZIAMQtEcAmHQVt73o+CT9VSlyss6x2iL4WNd3KaIusmzoEqxGPZJyAW97RceaM7DkDaJygvru66D7coyey4j1r5raNzm2kJE970TLFefIJtsJRpueJuvtJVb7Gu87neOiCZ12RwcupYIm90KW5FoZrs5jd1SQ6zJ5ONkO8x4lLtHRbeZvj94ys6VDqvwoycUzQcWhtg46m+bQX1XLQGU1LT0vIWoql2nPUP4jGeupXlb9cSdepxlZtIfm4VCr+PBI0dGM+0/xG+EddAkdHBSK42Yhh+mwpnkkPJOAaM+ba0m+QSezrDhvRrasQE0pYAiM7a9g8oSf86wzG7/+rezvYOYvYB//wNu5a+sTtHcVSxjrCuC1eloHYZ8h8DnM0myHq34KzABYEnXIhV5A1zd+EMltLiyX55ayxAhwyaFd6HkzR15tEUsenJYzeQLDeXOg6eoQA1KpzHX7QA13vtBAWbYIkm7aWoeIQG3sjQWyMjY3gx4/Q2XFFFDO1jGl27K//mn2NJqs/L31xZLOEW8ZUXuR2T/sm32Q99Q1kt7xXf4YfIar13+R90k/5h6PKV3/rdvv5tCEudALiDRv/xLWmBl+7d3wz/yn5U5WpMYYswr8fK6VX264mkdWbOJIXSu7mv7PPQTN/mdqeYGPGl/jud1vY02oNGztTmV5cOklPDbndR6bu3NK0CopXcpFl/mJBn5Bha2eNzV9lCXaHYCpZts0UuQmve0HD/3Zc3+p9R5Wve9P3PrV+7j6Oz/niu89RMTl5nR7c8l2e7yL+XTbx+jY8ASPH1hPy64RDIe5wORzBrc88ig39prtQNYVQvIhw0HWKFTjNbRR12LwG30dIcPJU7k5jIjF6MUfLbv4mWUbo0IO4kVPzRAgu7GahN+cQO/+zbeonhjmA7/8Gv/w0y/xoYd+y7sfD2ETSifxE4FmDIvIO00dZiaECGWhIhE84aqns93MxXs1kVisAl0X0H2QbzYY+1KeyQ8ZOCqL+xh5kepPKHh/V0yNOdIz+VKe5hRL54yx6Ji5sIe9ytT4njfUS3fr9Ww9/5vEzvaGAOyZDDuMlTyUuH7qs2DQg1tL0ffa5fxXtjBzpuTvjz5sPveky0N+wydIjjg59USxpPdEu4ut68q4b3kld/guIlJozrF3+MMkc80AXBb4Mmm7mfKzBXpLjp+NmiDprEBh1bI/0H7zh1hy3Z/wN2XxJ8zIq1Jp8oVybeYdUIIeGr9/A9WfUKb+8/y+eD/3YIr4hT6oEr/eHAd7LBpPrxbYt6HUYbjnqRQ3P/Ioyilz9lLrDHZespzPvK+WV65ZTNJmvndRhxW1AB4nykv7Tp01W9YMU4dcRV0aZ9Zg87JxHr5kkJMLS5usVhofozJh3s+wr40NJwwe+qbGr76hsf4Y+FPFiOPZe6Tl7GQjDfz7lS18RP0WX+82nSmXewA85jubCnRy8XhxLF9T/y4qrjxA/oIv8LHlYcYW3zvl7J1VrkaC3ByDxCUayYuKafBcrggAc3NnOlsDNdWosszd//wV9H8eYU2+i28MfoB3qGb5uVphMPnx4ruoWWOF3150Kr8QuG3GcQXD7Me+2jrJtoTMC+dUVNym/AYxDoiQWWZeb83he/COrZ1xrK3PbZnx2d/K/g5m/gJWUV1PTVKjnCwNjLN88gRLBbNioUqMIxQG81cEO/I0T2N6Px1bXxE9R4QkGSGPZIjU6QEQZCyyjbk9L+ASoc0qEpDN4xiGipp+reR69PwAK7oM1u8p9t1IN1VRW6nRnLwOX6qKy07ehdV2GZO+agaa3kRtbOak4TFMT3932xJUWQTDQNQ1DMmLJherofbXPUzCEiYQU9jZ0sHp8lpGPQGUaY0y+z0FDsYsqs3bFy3l399hisfFJRs5UQHDQDod5YBaZPcahowzWBqX71v8AJ9fXMy/hdw+ts8tzV83JTU6oudwRQrX0ToexJedXSRvujmMJCuMPSw39qKNqixJ9UOsdEE+FGrCbjyJrI4g5weRc73mdbsV0DViWgMPkkERrTgiy5hM15CdZ/DJX/2Y5uEB7n32P7l4cDfeE8NURSZoCb+xZxz2FEHp1uVr2dNYel9+XHsLD9VeT1qy8/jayxlsKIpZHWudR06WufbgZlrFIO1yEI+QxkBgUPcyiMSIY5hfOxqRXMcR5DDNFQ9z1NnFMbmfI7YIB3063Y5Rxi1pBMt4YbsYYtkgFuMwGGa00R8zQ+iypmLLZZAKrQ+kxBjHGs1reqp9GarvNEZlmP8ky9PuPNZkGk+8F2+0SBAdqVmPLsjMPX0aWzyLOmw+9+CnVHQvGHPjVC55ZGr7yJM3o+dkBP2NK0EA0hMWJIuBP6SDDlmbxClhKV0swyNq9DdejiHK7F/xMVSpGAlwx+NY40VwNBL676VlADZEipyJW196mhs2P0PjyBB14yPsq3Iz178UPT4PJWg6EYYgoKg6yybdbAh2cDDRwcRkLSGl6Ii0KftYKG0GKAF1+ZSPcLcpRJkan1nGW39xP65sHgNItl+E7rGRuNx8TpYjCdTjzyKmhan/HNtFksM+nuY69rNqxvGOCatAEHj4PBH1HEVrAbjguR3II4AI4oooa8c3Ys1P4zcJAn0NtUQ9LXS13UbcUcrf+/atN1EVNp990qIw7C86SnNGXETL3gyChcfXFJ2p6/c0Ihb4XklXHSF/ce796BMqQrY4V8UHVpIMNTHZeSVH5wnABLceOoQWy5GNVSNMC3Gnvd3o06Qq4pV7UAPFMZtvMUhu0sks1oleWAQu6dUa8Ss00pPm7xjdX8apZ5qL98AOiUuKc9bWZat5d9N3aTD6eLf8IxQlT+uVg1Q1TmI9Y15P4uJpc5xuAq3p1ukW2e8v5bwBzO87w6PchkNx45ZWsyexmImUp0RCQz+nJZ1zYimV5+jnANjE2ZuH/i3s72DmL2Qubw2CAHNqM+y481Ju3PRZBF3GIugEhCQ/wsHicyhK0pDB2cCN9Hon6V0/BJjygKt0L1LhEUnl7bSGB7jEoxCQRcoKYEYQZPpbFpUcV9dGkTSBDfteZfkRM2oizAvw2wvu4rllV7B+6F+YE1pOrDbP8dWbeGZdHYcWfZKrTv+Ae3Z8h2u6/5WJxofobjJrwHNSIVIhCASS5gXnbaVk3d8t+zJt4wkONrbz0sI12MjwVNWlLKjfx0UvvEjKWZxYGkaH+N2/foSKuPk7//kD/8gMEwQMn5URDEYKkri/J4ctWhpxeci/hj1lb1CbDSzvPsHd3Tke2pli1/Mz9V9ingARq5/1h/bOuv83f/MvvPr+N/PQ3rv4BF/l48ZXefnI5YgCPGcUF7afjyzhR8o4jnixQaCSnRa5ESU+vPbz/EzI8Qg5fjjXxYcd3yffaNA0OcjP/u1TXP7EbhoiQe559Qe8/Xff4ftbitUk604UCYTn2smWFnb4l5m/t9ecwDLTGjyOllVwcFp+PWexcKLZXAQvwVz0zkYQX8vPYXv1DrZX76K/fjOOhl/iavsaJwN97KjewWfbnuKdFzawvXYXh2q24Gz9Nq453yps9++4Kr6Pd+JbOMMPUxt9Y5D4SmOOL7xljJ2NVVx78iBrtJ/jdX8FvTrDv64PEJIciIbOygOlEcaYpwlFVbnuyacIHJ7ZRkKyFPr6vPpJgtpGHr3lFibK/3zoO5+S0HXYE30LqYKM/x77RZxZlWDyfTGkgoeri1ZevPRexipNL75ibIylp4rPWBxR/1z2ssTWRw4iaSqvvv/NfOBRsxLmF1/8JL/8/CfosmY42p7ii299P18TP2/uYBis2Jegc9eXEYOXEXguzOEjxdYGNjGMIBhc5HgGyRLD5jNbiVT9k0LTJ1NseuFTAGQijWhqaeRRsqgYGMTslv+Pvb+Oruu81r7h31qbGcTMlmWZmSF2nDgMDTXUNknTJIU057Q9hVNIypA2xaRNGmyYmR0z25ItW2gxw9ZmXmu9fyxZWztS+pxvjNM+7/uNzDE8rL3oXjjvCde8Jh/63qT/azYSJRPl1S3Tp4ikrOeLBQ/xpPC5SXDoVBGEr7I6EqdTL/LRsgLeP1O6eGb9lOM6s4Zwjc0lNKhGWDQG1ThqyzFyeNF/EDc4OLAkVQXVkutiVstxzDEtkiiCIPDegiq6s9RnfOUOExH7NgCOlxnwC2rZtPix51K34Cv4banJuKQ31RjYmLSx+PCPWDd4Md8d0rNnu5mLh3PI9RgJekrTDyRKRJxq0UPY1Uz/wj9Nux/+KyU8tyXRTrEjIssVgmEjdS/VcPM7v6PrSCGJIR0P7UtVAvkvl+j/c5xNf3mKHVcuIJdBfs5drCM9+mFoVu+llJm6SM2oSjJ4RoYMUa5bbSEpphv2207sY0NXAy8rV/Bw9B7urd/CiNzEz0YFMo59c9q1TB5fMuHU56AXVd1s0aipqNqNGz9xn3+1fGrM/C/JystVYrwC7yiCopAzOkjSoBovF4phaie8gh3CGG/ojtIpnaKx72USL+cxsn0Owb5M9hcZOKppp1dUvdnciJbEQB0ApmW3YN169+R48eF3kGV1Ahq0d/Lm7L8iaUIqb0QiFcIu6ldTCB+4V1DvVL2y1nx18o9rwuT7Unno9xeYOVam52Cl6i2I8seiGUBYr64z6paySlyPpFEjLklNAjk5wuxu1UuJiGqO+Z7Cr3DDD9InpKKhAdqKSjEmUpORMAOjppxnRsoyci9RXiDOX4nx5MhsOkbVMH4jc3hDuGTafmfkwuhztDryODLhjQTzd3FX5O84FPX+2hIyo0b1EzhZVjVtf70SZe6B07xQsR7nMxoM+zT8Y981/F33KwB26Ry859nAA/0F1CXbpu/vT1G6i8kxTP43UOwCR3UST0x0OP+l5rvEdVO6zwILuocQFAW9WM0j+4IsPtnGfz34F+76x9/QSNM9n/0LFnPQrkajzjmwc9r6U+VVHJ2tTjruCQOjrlpNJ0hxmQ+rFxMsi6OxHQcxgsY0MwcQQJQG7MP3oovN3HvnjJiD77Ks42W6Z7mpr5UJGlPn3WfIY8Q9hi6psKhPrX5Y2qrgCCp8te5JrnvzRWa3q/dz9/wlxOOpiaZ+3m3E9Go61jDDRHtGPP5yJMWINmFj36pVdJSW0p6fmrz0Veeiq5xIBykC7+zdRl34kskUg2vW++jMXkRdDHO2OimYMlvIymlj/5wF9OeuwhKai6TLobVsGwGTC1MoRtyfcljeH1nKC84tfLfyq9xbfAP3Ft/AUKt67uu9R3hsx4PoarRq64UJMZgTfHfvvWj7Ja7pf51ReRj94dtJdJXjDVeSnKgCOD7vVjzuVAn5UscfATCKAeZnPACAdgA0ATUuLNtsLDnyK/L690N0usXl/4yEx2LEWelDzEu1uzC0pia/kYoi9i9Zz5e/8SMAqtpPsmh3OvHbX+o/zzfrogzJq9EnROKjJuK66XUmZ56dSRdDGxNAVvMYWuNSBFFBikkosg8p3k7cP8LBsjy6Muy0ZzknjxE025AFkazxYfxGdYyF3YNc+8ojk9vsWriMqSJM6WU0kJNiXA5MGDYiMnmOdAxbKOHjo8FnqOmyMcubqsgTo2p01JdVz/srnqRn2c+mXec/k3ifgXbNHBRBpM+oVj4IHQr7+1bzCDfxAWfzY9R7Pcv5ye0hFL2CIipEJ1SYvkXAcFgkHBpGmXAEPc7UN22ORdnQepRLuj/gFs8zGIlyVdso32yMMh7soXDIxJp6O+NBP9mNKQoO8+g8NFEnRQe/A4BGGOPsvGaWuHtxl2p4f+0FPBb45OaW/2r5tJrpf0kqa2vQvaaDeIJf/fY7LGnt5OTmq2jIgkIxiCAJyCi0GuoAGLAAi2thouN20+YzR0o1L3Puf5qENh9d3kJ1gah62+3CMUqOvU73mrVIgsxG3Sj9PitfzbqOt8e/wSlNDoqk8lKM2Y4An6XLlEozdGbrGBN8uOUkQiDF69KfoaU/w8qqtg6gCFmcHpIMG1QPatQ2l1dtczHGR7ENqtVP3c52morTPbURQ/a0Y6ytP8wLa8+mx50C9GoS/SQN07E7icUZ7P1wgH0TILTHSZIcuYoLvRfwUlV6H5DzlZcnjZulygGuNjyNYNBwJHwJoYwjDM59iCVAOzZe5goCU9oQ+Kakbc5ITaiJBkclD869kAt695HxeII/n3U/5mzVCGvJvI2T8V3opZkjELpkC5oOL1KZE8fIr9Am+ohmD3JATBFL1QuLeX7d+Vz7Tqq3Vp4vRNATw1mWja31BL/ZpxKXXbj7Qy7c/SHX3v07+rNy+HrXo9xXfD0esxMAl9/H1o+288HcFRyqTaUNY3oDw24DoiRx5ftvcP/l17F9UQ03vgH3n3sFskYDFGO3/QpN1/855WaIHvs/bgOw1/3hmT6VnM4ycNlHuURd2bzoPger8W4qe8AgqRPrnG6F8kGJ2b2ngFOTx3jynItpLK9iTf1ezmqajaQ10VB7M0uO3Yu+Y+b00QhZdGWYqe5PoIs7iFgD7FmyjYZBmZ/3P4Dfmk1B7WUAJDp3IEtJ2ivVNGd4uBrmvIHBnio3N2c3E+hdQuHaP6HRh2nS30UTamRyMFfFDUQyK5h/6I+EhvUYHEkunP8HvvHLB3i7YA2vFajg+aWn6tl25D0ySwNodAqbNU8xQYpL4zN5oAgUbRhDs7ueeZ5G8kfHebXkHD6knEvbK+mLpyZin6Ni8u+F9b+nZk3dZLWjydpIBA32IQmNQUKKaRACARwEcDR34t8hETwfuiglgI25nCB0lkzcEKd0Tcq5UeIghtV77KwI0Vfq43uXfQlJFPja0/ej96rRH1+RFUdJkLauVRweWsS25Di1R/uIz5oSHXRYyPWlJjr9hJGkMYQRNGp0UNDk0pdpo8CUIDaoR5EbSIRUMPeo3cyYuwIlmUq9nqhZijaZYOWxnQSmdKO++e13qJu9gJPVizha5eL8Y6l3uqzjNdrLLwFgb+l6DEO7KAkMMe5ULQEZkaKkHTTgRcaJyI4htbrJlNTj9M5mTNYgIJDRtY2R6qcZKdxB0ccqRd1/1oIMni+nOx+KBMKEWi3qC/CNw88TKoE+YwHl4S7WDB/l1dC11AnpXEdzaOCTJLhNRkgICHoFOaol4z4BMUtglfU4bdYOjMEKNLm7ALV3zFWHPuCq5PssFNTIr4sA7d21LJBMbA/3sOWIqrNFzXFc2m2M246QKGzE5K2k6Oh/TI7rsZxknnGU2fZR9hnMHJu7EqXpkyPI/2r51Jj5XxJRFCkrLaOlpYW2JStoW5ICRw2KHnZpG2nW9v+TI6SLJpnE7fEgaaZbutmafdy+4Sv89OifSGjNtBuCNJTM5XCgkLMcf2Qk/iPGQgMIGicbemZzJDJI1JSqjujP0PLQCis3NzgRrQHOObGPneWLiFhU5dPvM00bs0xpRUChXZilVgJNYE6i+kyKNAJeSWFXdRNw0bR9kWV0kkRCp+Mz779BXXkmXbaHyOweJWy/hLDz8hkNmcnd3Xo0Q1GSpVYUnYjYH8ZpSzc+fqh8mzJO41S8hLBwPmqJ5DL286r+El7LPckZn+oiXiQ45uLDwAqKNGEKgwPsqVk4bdxyfzf3LruSZWIzGdl+gj0mQsN6zNlxrs7PIagJY4ueSNtnZaMCjkXsy25B0IZxxO4hfnoJWp3q7ep1BxkrSufHefjCz1DR28XKk3XIwK+v+yKr+n0IgoBvuIEzSYE3lgmMW+DXv/sx769ZRYVlgCyXlyG7ajEsaDmFAHzv73/gmbMvwO33Ul9Vw65F6rs4u+s0q04c4/7Lr6Mnt4pRh2vCkFElYazBmvPM5O/4+Ap0zkMIQirXXzKkcPkemeZCgRs/kNk+X+CBbSLyx8LXNd0KW4/KtOcKXL9d5s2lEhkxPSs+2kdg0xE2PZigODVvUjoDPUXYYKSlRCXbG7DsBlScg89RQU/BRnKGj9D1wc3Yio4Q7FtIf95elOwGXqec7GwN1f0JrMFyopoYFbZ6Nua3MrTCTdjyRQqA00jkmDIICCnMVWSsAlnSImpSk5A5q5kjq4aZPdHuoFrXTYD0NOuoRf3d2lHE0QWLqa7rpq+4kK8/9jfO3/kBL2/cyp1PPAQIaY1Ez4jRmSDq1aE1ykQ9aqQuNKSnvKQHBZH52hd5OX73tP0EJYnD106w34QgKBicSQKz1Gfq8sfR58v4OtIp9m1vaXh50TZeyr+Ea2JPTBpBtjXpXC0tL5QRzI2wOquLzOoAPr2Gd47eTFbcw5vhMjyo0dfuD/PJmJOL1Hsl35AM7BA7WBDQs/lIypFprHEy2mPCSYTCvhBCSEfMm4XB2Y/R+SaWHAlTSZj6YJgR3xJqBk+QCKZXpSnJQUImyyT/THd+GUmNjpXHduIzp/MF3fLKc3z9PxegiCL7yge4ckcj7vFG3J5T7CupJUdTRUlSQ/uS7xPt301CnwKFbA/IgIzg6MUaHCWimY02eYhzC25CG3dQePQueoMt1I10UVANxo8ZMtpeMDaoxpXrIQ1P37SV7FiMwsa9ZC1MVZnGKxU8Nye4uKuNMeMFxNlLyKylvmo2ZiXEHeH7OGGez0XyizgmeLPu33U9S8RmzvvoKGPnaJCXqmOfAV+bmiQERQejCoOH7USz/8r4pkqU7D18O+rFf7SES6S9zBNSmKoa2qjRfZlR5TuMxVQ9leMN4vLXQfE2XP5lDNPIWOVLGEL57BkyURvUEXPu4wxt1eJYBxo5QUXsn5Oe/ivl0zTT/6KUlpZOX6goJAXl/ydDBiBzdBSNLJNVM0TSkm6VV4ofMep08HJBNZmek5jbFGpdbSylF70Y4Tz3H9GZ16M1zEeDnvk9zmnHj5VYaRVUkqTDhbOJWIwIE43jelzToykdQhXL2K/++BiId1OmGqKNG2YmvcvweUnodNiDAT7/+nMcqjiGRhpFAMz+lye73p4RbbwTq+eRyd9SvhlFL5KsdiCV2xBEgaOm1DlcrLxAFS1okTiP17iCpycZVjMYRRyPYjal0iIG4pxudKFv9jN0KklvjwFtc/pHKCgyN3teocLQj6QXseaoSiM8bOBRSx4NBiu28UfS9ikfULjrZYm7Hj2MIKngOY1hGJPurSnHjYOS7q1JGi0/+fwdKBPtIw/WLuD3552DAkhjqtIJGuGxzSJt+QJ5nlGuff11GpOV5HtTFsHCVjWiYQ+HuOWVZ7h8+zuTvC4AC1tOUTTUjyE2jqzR8/TWC9POI6FPpdoifdcQG7yUud2XoygiUiQficv5wZMSK5sVbvxAfWabjiusbBJZM6iWsseN84hozuZH/5BY06hw/XZ1u/MOK6xoUvElN26PpxkynyQny2chabSgyPgMHQT0KQ+7teoKDi36HJGxSobrrmKProenLXU8E0oSCp2g35FKtWb6alCScLbmKBtKm5htV0nk/65E0ZeuZ9yZwmQokp7oWDouy2AfIrNg/+RvR2Y6sHLynhnc2D0BhoLZWMUkC48fRwCqO9u59r3XMEyA2VtOTe8sbCuOYHQlCA+rLUUAwkMGihjgBl4kqegYjE8H77qkTjRygtCQntFGK+0H3CQm/JYcOToZRZwqgixQ8mYIr+BmtHXmPmmd7+cT8Rs5nePink03I2phtuxhbqiNnISHC0ubcITVY0txDSO9G1Ek1SpaIaezPTvOClJ+RTfdmQ66TU4UYMxdM5nSsxWFKN4wSFZpF7doGgmIn9TfR0GbTBDVGwmZLAxmFxKwOtQ0mijQWFQ6ueWCjg7mnla/+YqeOqpOv0CG5xRNeRk85k5vItCfv5aZRPEVEpAWojWtpNyxAYtOdaAirUnqmlsYGx1HngHvGt+dwmjdX3ULjwk382vjHQwMpjcSjc9WiC5WyFpTT6E5DhoBUZHJHennMzzNQvMRrufhSUMGoKywlxdGzkfXJ2LpmD74mfSdIguMt1nR7B0n4NoDAiyrb+C/Ew8zj5nbxWTqf4qkJEFRWNI1hOxVS/unVt32L/gT39u6klDiL5TLqdS6gTCXDDRzdtV0UtF/l3wamflflLKy6ZTtM1Xv/E/EnghgcMbx9xjp+vyfMIRUpVPT0ok2Hua48Yv8rPAaaIS57d0seeA03SY3Mb+WrAWjaQR7JcMJDk6EfLVJheQEePi9jYtRzCm8hiKqH4JcPqFMpkRgAJ4RblD/+Fj7huf1X8NTnGKMdYzv57LDswgI+3h+y/mMudTIQdZYI5+7S0KbSPUHEQBR8iJrUxULjuFfIMhBZI2LsONi5CwjsU15k+vjq7M5HlcnyeyxHi5zq9GE+47eSpe/EI1BwiDH+PGan+HAx29dd5KpVXkbHj55Da3jFQxNKcUcUuxoOoPIRg26XC3zO+rZNLydJUob55r289PFX+Oe3Nu45fBThIcN5Lwvk7whD10ydR0/fCJJ0ZQJ+prICZ4yTC/xFkiijZ0maazmRycbqfIV82yxjpcLrYzlFJM51MXz376DmBZuvyWLH4bVg76yKg9FGKG2a6JPl6JwtD+DBocbJqAgi5pPTRtvdntq2cKJyI022kjMsJoXzlKBkm7fGB5HBkl9Bd//hwhCgrldjwOP05+Xh9Zn5O5V59G0cRnW6DPTxijoWMbfhQsRQyuQFDumrPZp2/wzCRrAOp3Pkf4s9RnljdaTVIK8OO833Hjkx5PrY+aU4uzMyUQSHWhkVfHHYr8Efje5fnT4CipsF/MZoY+vIDKGzMnEEInCxYyLarrEOXqEn1+7kRHnzzhfeYVrwk+h9ShIhUk2CSnOG1NmKwgSKOlpWK+zCtPQAa587jmUj333hX0pHIrOPR2LZsmOM1Lv4GDbeXSuPI+Dpf28smEDAOtHDnHn715Bmq9HH/Ox5Nhv2LdSjdLYdWrDwdCAEUUWiC9S3w9tH5hECW3uDDcWWNfYyJPP7iRv+7PEKrWM3TUF07Q3G+/plEHRF7IT1JiwSqmKo0xNiOXtvQSMBoby8jlQkqTYD4nwR0ix9DYIfyj4BveavorRFcOLkcNrthIWtmIaOo6rajuZNd7JbaWyp/icFCFaKKIzJ2l7vRgpmpqmJI2Wxy77EqZoBEmjJWy24nFmkeEd4d5rbuCPv/0ZhoRqNF772hP8110/ZkGLakR3ZDo4WFAOAsRQMHysrbfL08i4e2aHzGleqI6PwrctLhozbgPg/qFvIBbEEKJqakk7ICDH1cjR4+dewqvrt0weo2l2OfPZCb0aKEy9A2J2DOuiX+HMyEUZTvJT03+iZ+aqoHPKtnOZ/UP6L5l5XjG0TF+e9596EnkyiXyFjo5MjM4EecvTnbehOjuhQQOWsgST/Y4nnEx9KI+ivgizTodIijB/aQPr8zvRx5MoiMSkuRg1x7ms/wAtLW44/7wZz+1fLZ9GZv4XJScnh6wpLQg+SfzDI4ixCJIkE1c0+GUDigK7E6W4u4fQJhJU1bcQ8+qJjetJdMqMabqIuFsIZaTYIs92HCcxkSaI+XSEBo0kw1oG9jlZYH5pcruyoQTOoETZYIKrdqfi+VMNmRnl44ZYTIJIEm2rXzVoZBXv4BHSr1kTfpqweIj80fTcwaBtZo/AOvzU5N/2kd8hykEEwBR4e+bzAJSJHHmkRcETdtLoqeL4aC3FksBwRjEDoTwax1SP+4whA7C7b2WaIXNGHHo/mf19xAxGDlfNZ7wrjqzAJv0xLh9/nbdLUyR6JV0irnDq3t3ylsScHrBNoTC5um2GcOsE7lIfa0QnJ7jKcw+zAjJLPapiq6tKVRwZkrB13yjHyhUiOi2N5aphVNudAm+u66snu38Yi9/D3LYmiob6SWjgqQ0ijy2rJCEK/H2zB32kBV1sgIKhZg5VCQjJ9MjCV559nCzPGIhaYuZZzO1KjZE/MEB22M9Xj7xOZUsHM8mC7gnCtXg2QsLIusPeGbebSVrz4L5LUyXNfzpf5O3FAhE9bF9Qics7TI5HpTkI64N8UPHEtGPIgkRL6Ur81hRzNYJCXV6KmsAqayhJiphRHY46JcmcQCOD8WHGXdWEDAJj5h5GnOpzfUO4mKGes2kdVbfXo06Qiiyi0cUwOppYcuRXCHJyElQ6krUQSdQS19lBESaBygBJjYGkxkBCa8bsSY+WyBJ0f5RBUmOgafb1BCwZk4YMwM6sZeybq1YWurwtmKJjzJZfQKfxs9L1JKJWRkYluotNcJkY+8HXZURnkjE4E4h6GY1e4kzUR4yMk7f9LwAY2kT6R9RoRTRpZPSkCxAmKSUKBzo5ZUlhdM6I2ZTAHYpS2ttPRDNMWJfEq20jYLETsNhRgPaiWQxZCvijcifWfHWS9yQtSFoTvqHpHaaTRg96SwR7UQhTRoyMOV4QFLQmdXIfzCokYHcznF1A7ri67PD8NYy4sukoruLOu1INK8s9w6w8soNZ3apx3ZHlpM+kXuerlukRK9FzDH3MO205QF9SYRiZpug4zRMpKZ2UxDTxPZr3iBjaRDQhAV1CQhYEnttyPuW0Th7jQOESohh5r2fT9LHdMUoXdlG2tQ+97Z+XN4cyZjZktH0C2oGZ1+kGREx1IlGPHm+7hZhfQ1hahzdxC7IEniYrMa+OWWNeSsOeKcf8LQIw67T67LQy/Knxp+gnosujOjdRWY04zQufIKSZzuP075JPIzP/iyKKInfccQcAcVlm2eu7uf8n3+SdbSrbqaXtBDo5xtEvbOOgZg3aZi/azhQmptx6GNfQPs7em+5NFd2nsLeyAK/FiOwcoDBPDe+5NeOMZpjRDU+vBLpF2EjEGeGcsI75cS1feUOdXDtcjVzYtJ3XZl/9P76uauUUrSNl6I9Necm7Q8gWLfG1OdO210hjfFj1BPIsM/D5yeX6qaXKwFM/l9j2xT+iGYpgbtuLpVRVroqsJd7xdRbM+Tl7491I+ul8BgBiTOIDv5PnHleNk6/wF5z6bK6UruO/gSZPFTUZqfRSPKBTDYqPfe8Lsk7w1UV/A+DLkQeQgo/z6rrTXHraxuLoGD9vfYDv7XyEPk0mygRg1ZgcJaiHL70hcdbxCQZkjYK2QCbRrcHaq+VAZg8rStWI2i+GR/GLIj/JdHPW4D94sO63ADiNF2DzbwJ+yN7qKrbsTqWkttQpHK4UGM7KZMgRRJ9QqJqSrdzWdUDtbTSxy+vLBB7bohq34a4tPFXwJXRz7Hzvpcf4w9r93HkrgAZdLD2Cs6C1kYWtp3hvxTrqZs1JS02dkbzQGIuP1acta3IVM3u8mwpvH+ZEhLDOxNq+eu469GLadvXZhSwYVqMfTYUwW/2TK7+tqp95A/P5cONn6HKeZEfNX9kxH/5+DsCD6HwCfSb1/oacV5I3YiFga8MWSGGsnl75E+L636EZzCHY9g2slWq12f7SV3HEKykbU0uDC5IiiyYqaxxjH7Ig2EmDcytdWVoe32RDEb6Qdt51/VfgK3pwckKKxgwI/XkYyjrJtuzBEehk086v0Vqxmp6iaxnNnM/OtfeiiBoEWUIRNVQ3P0Te4HEOLv0OUVMmgiKRGTjJlfyAbvJ4mCu5ad9jJJNa9q5Woy09mdPV8q+u2coNH/qpbm5BcipoLn+LpcFXyTjhJ5Tlpn+lltBmedI91egkHCUqPqP83JHJ4wQja+h5ZbpR6nnOwrCmhrNzWzm/eg+dnS7eGp9F2Kgnf7CbpqoSlvvV9+KUUsocoRNLdgxvUIspGuWiXW9z3T3bgFQ571m73+TDtaqXXtLv56GCO7j45FPI8T4UXZjC5mdhepu0NLHmlHLy+jzONr1K2+vFjLmzKO3zcP1u2DXHyKBLy/E5Szk+Ry3pbi2u4PPf+yUP//ibZI4HuPz9l9AoCiG9jqheS13RRggnyA/sIeqrQ2NYhM6sGhcfLLmCs/b8gYWjp0lqjOxclyLe60lKPD1cx8/2/pUbqs7ikdrzuOvo0yg3q0bRxyvr2guKyfbrmVMn8JVVX+Lr4v0M6vK5S/kjlkQPs/xNlNh7//nFT5EjO+eyZP3MIOC8L+smuZQcpWF8nSamKTlAkFLL2t/Mwbuyk70RiGsu5xLUqrRaUz85i/z0Ki4M9iRZFR8AH6QdpyqQUkLDeju/KV/O35sfJFNpZEXRDJjJf5N8Gpn5F4leFJldXIDHbKP89Gnyu3qwBcMUa4LMEdUyOzkzBVozkmCRFOXZdSLhCYXrNaVyRdUDY4iyTPNAIb64urxc6Kc8J7379Rm5nHfICY/hGk8voT2V+QI+y/Zp22v7PgHTE5fYMhZz3csAAQAASURBVPIq+hOe9OWKwvLTx6dtbhu7f/JvUQlj9qkRIkNwF5pE6uO9SsyitfwSMvpVhStHClBk1SuWIsUscndQaZTQxVKejS0UwuhLpXZs4QT7hlJVQADe+DBLpQSzEGkaTwcVd7ybjlWwI3AhOr6afwR9MJ/B8XwK4k9giBxFFmWemqgSEkSQsgSGs9T7HtXBuMELQG23jKBRvWFTRpxwrhpBCQ8bMMkKX+wOcpY/giZQRXdQ9WAOmIwcNhrY6zLxB2c2fzDkIIRi7F6wlLrKdONwaZvCq2t0+PRertkho5Mg/AkExSdLUsoqbq8mWWYlaLPSm5fPt5+RqO5V2FQvYo2YKBhTn/dV776GK+Bn4USK6tgUPpqpYktE+GLDawA0ukrozszj9Kpi+iyZaFBY03+CJUNNfOvwPyb36c92cyyril+s28QHCwTeXixw76UaThbDfRelVE+BV00XGZImcgKlaeMqUwjKBDnEaYeNqGmQmE69/625jxE1nw+A6ImxPJGNeTxVUben5OHJv1fGdAhSkLCscFLTzphNfR7vLDJPSwuBWvWnGdiIrExU9DTGsTWojoMts4HobBl/jokT81MEkspEBeCZ/5urb2LfvIVETZkT16OhJW8hv7J8hfcjS6lqbqUzuID3Vl2K36J6/F1ZM0dMP1ikx+Vtxbc5G0knMO7S01xhIbJIInR2ypBBAf9skTHX9ONYTXtS5TQT0uOyYTXGmOccYL5L1SfHNHmEjXoU1AjEo+Zz2e1cxJ8MV5KcACibc9SJPKbT8cMvfp2Py4drz2N2zzA1bSe4+tBrFIyp37oij2GQPYxZTZPfpD6YP21/AEvmKVaIKq+Kdr7C/kUbcHpUUrqS4ekRjLkdXno1LpIGEUGGPK9aZu2xmhGslxKIq/sURNT3X4o1QKKLfGuCDJeRExNtNbRSlKLut8gcPY6gSJgVkZtb1AZZV7V+yEZxP4sXHkbKAWTQt6W/PyfLqygdTlLT58ajpCLXPsHFiD6Xv524gTFvAbFxK58kclIgOGji9BtFCM0y20+tm7aN/XlNGimkzpJE75hCNPqJRwfjEdBIMiWRATJqVPB3zqKJ9ihrxrHkRv/J3qqc0LkojR1BUqyIQhRh7J9TNvwr5dPIzL9Q1ris1FXP4bKPUo3qZLNCQFZUQhGHFkWAnOgwFztHSCgGunITfDRBMpXpD7O8Qy1F1EsSRaMRagc62O6vZNu6JgwaCVPm9HApwEWJj7h6304ScRd7V/0EgNX7vsuiQ16+cXs2QiKIorOSPd4I/p+hCAr++h8SW6B+zGI4jmzWY6vr56Hx66cdf1vnfr5a/wJXn7eAoQlsQ2b/s9z3px3ceWvqtbL4XsTiS3nqy7suYGh8A66Inv4iuCUAv3JEVJbjaD4JcxdSuJzq7FZKDDK6UCtR1Lp1w9iXMAJRh0r9bhzspzecnro6YZvDmmgvD1mquNSTl7YuHtQhWmXkCc6fezCxBC3UfxWP1sfPq74NpEoLT+t0EFehQ4+2LyaZo8FliWCWB5A0Apk+hWJNAm2mTGjIiCUnRl62l9PkEPHo8Lab2XLIyIUZcRrP0vPnyE1Yk/cgaMN8Pm+q0bKXQs88eorW8sPr8zAHR3nyV6mc+rH8fs45qnD+IVU1HakSWHdyuppqLJpghUYksSBVvdaTmcs5407ueXwckFjfpadhnlopctVLKgbmDHi4qbSCiN6AKR7D43bh9kwv1f7L/EtYkjvMPcLveCprAwWhUe469uy07X5yuY/2gW+hd7/PA+dpKAoU4bX28KNrU++HoAjkBSoY14/z8rz7uLjhq7wy9/fTjgVg8b9Or7EKxPm8MP83+PV+bn9dz9Mb7gTgbE+Su7HA4O18xv4fhDQRgoZxnlj8Q647+kMAugMWBoQETxVWsCngAD9E9ekTkS4RJ6HT05Wt5fpXP8RQCIkylejN0Oph5EKQqiN4qqE/YCJxbDqFwVSJuVPRSQW4/1wHSa3aaPWvP7+XJy/8Bi+utjK7J84Ve4N05qj354KDQVxBmcfPUtNVSYeP7K0/ZmDO/URRMTi9BSaYjidGMQqctDpYNuTFpP/YpK8kmOrHhg1abqpMJ43sDatg1zN3xj48ymeW/o47nnsMR4MHzgJzdoyDOdXs3LyOting26ly8QEt8ugzHKOYtfEy4qIbWfbgFobpNOmhw0Dxm/+FojXQtPC7WLJH0vbXmEOcSdYZixNYPX4WtdQBFRR4phszp4ot/Hr7vbiyQwR6TGSGVP3YVbGA7RUV4A+hQSI7fmacBBscDi7Zmk1QJ7CytwImsrBV7WpX+2Pzv8y4u4akpRBGT5HMVrh+y5OcYaPR9ajMyG1lRVR2qHwup8qqKBlOYFAEfKOFVGefollQHYWcSgdPHtXxWP1mMrI6qXFN54YCGD3pIu7XEei1IqLg2jWK32rBXhxCN6qQ9X3DDPvYEXWpgop/htg0JiTm9Qyzfks7Op2ExpheiGHOSqT9PpBcw1LdHjQTqmfPchcZb/v5vvsBYsosNEILFYFu/m/Jp5GZf6Gsdlqpm5XOFyCGBUr6+nAo48haLYnFGQwbMskdk6hNFnJ311cYn5WFZDQwajPRkakqFWs0QYnHC4BW8RGXVQVqzo6TvdDHjrL5PFe1kVfLVGyH6YiIJiBgjHmZ3fwPZjf/A2PMiysEdz84zPf+/gPKOt9CCv4OU0zm6h0SJdqfTYK+hNE4mXtbSYynvyJ2IUC2aYTPdKre0r2//wmlfeoLvO5wM/keuPZ9EXMkA3s0k6xgEXMGU3iTAn8V50bSPcY7/EauT45QOLaU+Nha4p61zHa3UqSXsYX2Yva+iGPoF5MfpnPwh2g6AhR2ptD0YzoXr+acR6+xgOFoNwICcxH4Y91NHBpcyAut52OeG+Xr2fv4AyYuRccStCRI8lD2i1xbNb3xX6dL5oQ3G1/CSHIC7OkzGzlZrJ7JnG4FkyNB9iI/7uogrlkh9FYJnSUJisDgIScAkTE9KztO8gXNm2Qys7czp7WNJfUPoI82kNQKjEyhD6/pUbh0b0rRnCwW+N3FDoYd6SX0hvFZ2P0WNh6vYUHbCSo71bTeW/NW8fxFFxMxGhnJyqRhXqr1wQebz6K1sgLJoCN7bARJo+Vz3/oFP1z7OX5y2U385HO3c9+Vn+OuO7/HqVLV0M3KTFAtdKNDoihr5vz+g1tFRpwC1lk/wpCpRgKzI9mc0/pZlvSeM9kLJzNUhEEyMSoqKIqGUUsvF578MhmhdE/dFVKNM0FupUM/jmuiz85by9R7UDLSw7d0YxyynOQ11w4uGU01Rg0a0g2yhCJQ5VlLNKOaQ5UGfJZ0Y6R2ogqmL0ND8eBxHM9qsLwnYtkjou0XEEOpbyLfNogukkHMPx3Lc0Za8nQcqVAnnnGLOAnABzj8JSe9taph0pEvsG+Wgd5M9fuY3TVIRWiICxXVGRgSc/hjVhsh+/SI6FSJDRVwuLuIv41fyIv5y6atz16YjudySj5CQ3rigdR1xeV0P3dT3Udc99ZLXPLRu4z6zewaKkHRC9jWxHlj3ea0bV1e7+TfvZlaBDGDMGFkRULQqc+tM/gRCAI2nRuT1kYoEKLz/UpGTrjofa8cR/tWDN50nE4ug/zQ8l1qXHV0zzFQahD58l4vTmWcK5V/YFN81La3EvEJGCecPP0EGDgW6sKrU9+DpElPQ9UiEG1oBD0PLCgkqFOfyf7L1vHs5nQAq8urRofj1onO03PSJ/2T4izeq17Et7/4X3zjK9/m4fMvp66smrWHX8TlOcXZf9/FDz78+WRz294sAw9kdaAICtGRWRwNr+EP3MVu1tPrK+bxQ5+hqyGPZFRDweqhtLG6tuczcsKF875P7h8nJ/7n03qeL0RD7Hxe9txNvKRwxm0UBTzNFqQPI4yE1e8tYhSJGjVorDFGMvT47VFi8iwGP7ES7V8vn0Zm/oWywGamfoZSNWOLQE3RSfazFjnTSLLMTudBH7ea10ISllIDefD22Ms0Cs1kBsLYYgmsMXUiLBmRaem3saRkDEEArVFmfd1xbtz6XUDhoo49aMdSCjN/YG/a+PnjkD/ez1l1j/H5OzXc/I7MmkaF5c0hvvC9ZhLGGsTRGMFAejftSm8vf/jodwD4zGp4NH90mId//C2u+Mlv2FCnhqid/XMY6ryOr3qNGBDwG8Zoyt6HXjKRGSpC+Ji/YFYEzMFi4toIx4PLyDaNkG0aRRAgFqzEwktp2+vip9G1DTFiVcO3beZy3so5B4BLA0lGonUArBBt/GJ4AceGVWayroxiHhhROVcWTXSMfj7jPZ7PeH/G55fQyTwZLuWiRCqVJ4sCRyv1QJK5XQq/K76EXzgfxbgoxdFhzo7j60j/tAYPO/lc3nPE+928UjxdETn9ezhaqT5fQVbIDMDxEpjfBXO7FAxTnKSGEoExe5jGkrlc9VEdZx1X2Ftj5+JjSSATCFLW+wyNlfNpK1WrM15duI6igX78blfauGt37cYQVxX/opZTvLNqA8P5OVRtcHO0ML0b8x3f+jF//e43maUbo5RefpC4kdXuRcAv07Y7WuTg3SUqFkzQpCKHZWMLyPQuoAzQxoY4UDFMsVc9P4e2i/zAhXS4TzBvcANXHP8WO8qfpjFnHzVDq7DEHRy2vI07lM/y7otJCgkeWfZthp2q4q7OOI4oV/P9MpVOvsRTy9nNn+e9ajXNdNpdR4Vn4eS5LNQa+cvy6SH+DUf2M6ejlfpZc5A0IifLZ7G4+ST6LnUc0VGMOeggaElF8CKmYYzSMInQO+gs56QdLynCC6utJLUC+Z4kg850w6nZUcLpCWbBmEbH+4vU99IRiXHeh/9N7z1mqvByVFlGn1DEo0sWk69UMpd0fqOp0tl+IX+2FhFbMpv3gKt2nMVprYGKRBStIOOuijBy3IkykZ6ozfFiyUk9p2Ai5WzM7xrieEkOspTkGx0P4ZFt7CotJuLREZL0LClITyt854/fRrFt4Y31azleZqAzW0dRRxFyAkRBg6ItQorVTW6fbVQNhF4ZEgEffXtzubDodsxtNuor/47ReTrt+C6DF9cmmPfWdrIMG6jZ/hDFC9opMPdRxmmW/X2ADL+XQ+tWUEoTAtCdnUdUp2Vb3bP8teg6hIjE+7XnsNaZpD22luemfo+CwF8+cz3LT9VTOqAamS6veo1eZxUKAvGK9KhobjLBV1d/noTTzajTzeE58/nOX35PWfc+6Faj8tZuiT9kfZWvzP8DAI8sXsyXdnRTKCf5U/QyWi2l7GcN+uYRRG8cLALXr3iORk8V3cZCiqNqil6Kaunbm0tpuAcHcWYEAX5MZARaXEXMHp8eNRlz13I8qEYOX4z/gjtyL522TWjIwNAxBy4GGX/FRe7VEcZc6j0rqRrleIkdCLP8SB/eoulR/H+XfGrM/AtFJwr4rXZu/8bdrD78C9a3LKG4byf6VpGyze3sR+U3kDONPJ61jlun7Cuj0GKKk+NXO8PaYqnZTCuDdp+evgEnGp2Mt8OMANyz70E8hvSOYGGLDo8mg0L/zNiamh6FNY0TVQtjcPWbf+LlVfOIj1yAxtSBPusD1u0t4+uH30rbzxFOp/y+fPt2FgyouJrjmSpPx2O2GFUJDWDH0HEL9qQZjfLJIfmMpIHPV71EZf5JBAG6D+aS1Oeit7ZO21Zrbmc4WMu4w8EO91punf8wYxE3y839JHpHkPxBlibMQOo8T45NL7s8Yk0Hw84LVZGwbKHeuA9DtI7D1eO8ngkZvgG2HsghqdXTla12mc0UrLjy6ojoBEzxKX1RCpJTiZwnJfRaJlfkykTny7yzJN17+nBxKmKjT0LYZKI3fzHzu/awoUHEHFPTTv+18UsMZjyDKAcYt7Ty960ibfk28gcciB9jYyvqT5VIh4xmnl6/je6MXDY2H2X2YDfL93XSOPuWyahdTWcb76xSq2j2FE736AF+/uWv0J5XxO7TVVS/exJNZDr+aiDXDxOpPEvMyWUnvo4l4Uzb5uwTZSzUjCENng3AZw1Pktdfyp9mt/JR+VNsbL+GNZ2XkeevpNwzH62sZ2nvNvrs6sSiVXTkBMvoc7RgH7mPOTY9nULKs8wNlFPhWYjYdBOncvbyUcWTDNrbWdS3BXPCTvfHcClzO0bJHt3NXU++yoDbQKHnfHoy3dTNmsPi5hSVfOuC2yjw74aclDGTlXmCJBCPN6KTJOzeVoznB8kYHOdtfjcZiYk7tzO+zAWkKpUOsYKwMN2o0glBxm9KosnwAmAl1Vesmdksbm7Asl1DeI1EbJ767jkf1dBUfBE7lSXE1qSoDr5QvAzRL/J9bzfl9CJoIHaZhQs23Y8hGefdulvIiqS+E6suwXn1p9EtjJO/1EfbmIuwrCdWIpJl9PLqijsxxKJw8D12FqT6Q9343B+xJu1EjIsoHU5wvMxAV7aWs8ypKJmoVZ/R3sUb8dtcfO+UakQNJIYBBWMCzFpVhw35MjjT1SmGHgMpg8uz7WGS977D2FIfBWbVcJ5PPYYlGtiuYZ+xklx9O8Z4nFzPCPsq5mML+1jt2c9e90qEYIKfz7+C4vAMDIbAsVm1lA704TNbsQW60EgxEjorjbesxrlIfeeN9QJRXRaXjh7kywVq5O2G/ldY5zmMq31k2jHn/mWUWf/VTkuJqh8/qF7EKWGM1oxSAC5+5Q3eMS4EYLZb1XlNnirey97ILd0Pp5ksY1YTjmgMUaMgJz/ZmHmw9nzqs8q4xvoB+aPjjCRtJA5r0ZqSjGvKOD7/9rTtQ5ITi8abtiwyku58PShsosjdiJYkvfkp3OfBJS58J14EvvqJ5/OvlE/TTP9iuXd2EY3lVTx71gL2LlyFz16GoVVgpbxnchvZrEUBniFVxXT9KgsHa5cS0+noyJnJ5hTwd5oZb7WiJNXHWBIYYtFoeo+gR1dt5b1lXyOom87qC2pPnKnyhffGyBzfj4CEPvNDdObWaYbMTLKy4dgk2Kw+UwXeejUKh4xJDhmTDMfLaJNzGNGnxnvqY+QiuriDLClGrkUt6W7qm0XcmyKaUmQ98XH1t8ulVtYcLVnE8sKjLM89xrayD8jIaSR3yShhVxN5iNN8lvEpE76CQq8p3Vv5Qe+XOHd8EQmjmt8enOibM+aIE194msYyGwIyCG7mHg+w4KkRhrPT2Ue/6brlE++TflDk+g9kMnwKGX6Fu16czjly+xsyR5Ys4e8XqU3nzhgyR7NmcXTOPBKGM9G+KHGdAFIx4gx+iTUcJH84BdzuzlBTNR9VL6aitZWxjHV43HPoy1/P7xZfxuq6mZttTpX2PLU6q6GiltdnreXrN91MZm1qoo1r4P2FKbWyvv3KaYYMQHn3bj7T34URiXzdSap1bYTbI9R02mjK2c+ArR0ZmebsA2jllDIt8KcI7vJ96ntmiBwmY8xPvTkVJcgLqBNG2fh8trZ8Ab1k5ETeDnaUqxihzuz0+6UkDtJteR5LNEJ5v5ez69WWDWcA0QoCRxfeSZdoJ969EkFKnVN+lvoOHXAuY+PRNwiUB3HXdKJs8hHWpe7p8WWFk40Zv678HFGRZjRkAD5nuJ/oktS7eiVPTv7dzBwMLSKm4yLuv2kRx0EcB+VUNj2RCvasSmfH3uNchDtUw15SkbbbVv2QhKgjqLdwx+zvTRtfY5RI1OkxZSQosnoB6I04ODG7irraFRxYvIGAxc7RDDVlueT4XrLHBgm6VZDqGXBuv1tLfMqtFkQTIXs+e5adxYmaJYzkVxOL+AnHVaxJlt9Pj3c3UeL0BkxEoxZiMTOPer807RzDVw6g25rOkO6/QkLRKixsaSShUQfWJ5PkB9TveInvGJZkCKnAQkgn0OiY2bnaWaPeq51VS3h2y3nY/Z1o9IFJQwYg51mFs0ZO8XRyI7LbgEZJ8r32B9jasYeM4MxMuD//4y8m/27NLWFnjtpiIHNskLHIGW2lsMimVi41e6qIaYz4i4rSnBWPxUTWPD8J6ZPjEY/WnMsLVZuQLSI3WT/AURqhsnIYnSVJwSovxxffNm2f/vj0xqHhjxkze1oWE6xT08RJXboJoej+OX7sXymfRmb+xXJNrhtvQuKXgRoCBg918+9AI8Wp7v0Gvy2+ja8LfwGjhtg5BfxWVnguIBHRiwyZRLAvoKegmMLT/8nGiQDC4UqBpW2qQSAJIm/VVGOTgugliVVt6RVJMgIVgydJapp46LIvcHOggtuSo5iEES4e2cN5R0+x/oTAxzHvc/riBGu+C0DhdAdjUt5buIr2ZBa3NrxKyWAfAjBmtJMQtfxx+718edNd0/YZUySy0DIiyvRqZd4uOkFNe4QS3XJ0cTu+wUpaWy7FUbqPV43LUeJmkuFStOZOBDGObgIvoDGroY+ERsc8y/RKrLC7CdvwUnIRGJhyfRcS5BGzn8pwIcf1A/gENeJ1xb5SLsu4DYtsYolHIlEzPYrzQrYeqAPAqsmi6xcDtLxchuZAIYdKVjAUySWphVZNGZ8zv0du2EPr3DJKKhvRv5wyePQS/PJh1UDRfMyWufltiVVNCi9dmolJTtKeX0R5v6ro67MqqPK00F46B0NE7QYsiy7yh4NMDTW3lM/Fa3OyvH43V7z1Is9ccAODGekKqcNoIEOrhvjHnVUYck/wiw2/5GuvDHPfxdN5eHLHkwy60tWF7DIQkEUyawPYS+Psczr5vkvPuE09l4V1P6UkMp1LZH3HD9GGRhCHArxTeponrCpA/SvV+whHb6SwSyFib6HfdnoyEjOTlHiqOVSsdikfDmponjBmNLKFV1YtxBaVMY/9FI+5H2PcijOUTUvxUpqqnQRN6Up40PQKoiLQm6FGKDd99Bp/37yZhsrZbPrLU8zrCHDJQfVdOTzmRvPGT1jhjOJZ/9+4s3zYrlNY0vYE4g4Ra36YDzibvwtfgikFKHWCWj6sVRLMp55SuYt2jWp0LVYOclRQDfU7lN+yiBTxnC5QyNlHv0Bs/T38UvxvTgrzuXbzg7BJ4Lx9H/HFn/6DsDGT/956Ex2Si4Q5fUIJua7mydXwut/PPaZbKIwN0m5OMf8es89hzupXKIoM0mop5v5TdzMnq4lAj4mmZ/Ix5sqQA/tGyzmUn2rTcv/1qTLsMw1tRZ16XGdYJksZZkTMpidTR8VggrBe4G9bTQT0t6olgsAL+iZGAwbkpPqOZwQjOHc+yeEFLcjVJRw7ej6gUJMc56DhMrZYjfhrVcMuWThzrU7WZ8cQnlWQo6lnPCfUywG7WlFWEO3jq0++TvFQP7d/8x4iRhOumEyIGBe99zRLG1tZ0a5ez4X1O1SHcsG55Fzy67RxEuN6Vlc9Tqc7H8WkZW6gCf1ojPZ3ptNVnBFX0D+NjBRgvqmOSy58ka4j+fx83T0ASEmB4KgLtLDc1M7WWQfRa2TCSS0Pti3nmUQlZynpCvq623PRtH4Bs5RkA4VcFoSIfSBtm7yL/BiScWIjKaPXGugmaCvmXd9/oACO5uN4mtINbYMzQcyr44LRfVxWdZydCTc9dZ8nPFxNyeafojUGCXlmJh38d8inkZl/sQiCwDV5bpLGGg4Wv46kNRE3OAiOziGbYXKU1IuWFAU6HVrVkJmQkMXFYG4Vu+YIdGYYeWpjat2+3FqOZM4lZNQzbjHRmp1NPMWkzYDNjlZSrfmqprcJ6k2MmF0EXVmUXtQJgHYC8Bs2pJDxtVNI0+Z0zawwAN5cv5F3y5cjTUHBHM+sYG3/cYaLLVTGU+d6xqs4ZEiQJMExg+q5hcQxxHgTshxGQINteC1S1ImnaRuCqMVMBK0hZawIE63mQ2IAxDCeqJvcjOkdq8MutSTh+5hwIDA1+fY34wABZxN/tKkTRjJUgcEr0jK4i4QYwi1FKIjNUCIyRSpMMjqbhKMsQNRvoHWsmK5oLvKQHnfEx+GquUSMRtqKZjFSYURjTrdabBH1nzkOG+vVe5znUVjWqqejtJS4wUC+b5S6WSnlcDyzgmVdB0gYUrT2RkpoWTZ/8rcCvLfuAurnqGkifaSH2u7pLLBtlZsmS3T99hLeOesGzjuWwB7VsqpRJb4SZYVMn0RVX5z1DdPJsGx2mXNPHKAlXIXOEueIPTZpyER6r2blDIZMlXEHxbmq0dE4VIQ5PMhYTMdQ1IInbmKN/hRlMmRJIhWyj7tHx6gvfGXacQDckWKsMRfmuJ3WuMygEkUQijCYrmTYpeV0np4+l5+4NoLfPMK4ZRS/e3OaIWMPRTEGdyAqasn1GXB3wWg68PJEmY3wRNVTwCgQkF0cGsolHlRxWzqLH2lBkugcmYKSUdWQ+QRxM4aeOOVTgLJnRfYwV6mnWjnFCtIxbo7BFZhjWSwLpKJsAYudgM3GM1svRAmLvF+xmiYli7A5FYE9057kjPjtdnw6Gyet0zvEe3RO6u2zCWvM3DDv55hyU++rzXvmb4me/PJp+6LI1I40kmkyIIjql1bd9wTzgiqu50wU7FRZBL/FmOa9t+fkEZbDiHE1DZ7UmfBbTXy4SMW5yQkjyaTqCMRiFo6MOtEFU5V6Z0Q/pbt3MFdD3gIf4hQnJqPLOwkGLo/1s77uEKUDfVz5/hugKHglmbigZzArh6XDano2maWgaBUMiQSZtW+mjef6q3pNtz//OIpJ/XuN9xiDR1MGwlTNKU/pHF46MJ1fZr7pOHGzke+vSeHP4n4DS5JGaujkXPEA+gkKCLM2yZKMPopG1euJa0TiGpHDpbnEHaPEjS7y9PlkyxoqkhpWKD1pY1mUKF2JVMTb7TlFWWfq+t7z/cc0QwYge76KC1ww2kZYcmEadODrXEUilEWoaz6RYQPDOedM2+/fJZ9GZv4N4tJpqXZWMGCJ8/ji73P90bsZja2igJOUc5oh8v7p/gnDHP5w8UkgCQgM2gzkBmIcz6pg0JgDExHNQ8WF/HrzjXzn/ocp8Y1SEPBR0OhjR3URIaOem2QfiFoIwBxpgESuHd2gqgTenL+B5ZV7KX4qmGbMzJ1guHxs4SLm9fnwZiRZ39yDRlEoGB3hZE4Bp50FzJrooHs8swIro9xdeitnOuplJwVuCJp51DHKoNZKgx7qDaqCbPetoL1gBdf6ouQr5jRw8Ge1pxm2dLNdE0dQhEnOEb2kJ66Jo7OcZiwwD90UkOkZGdH5KQPmoeUNbLxFnJ9MVBJ19Nv5YaSHjrk96AApXM6gIYg2eIIM/es4Fm9h2fg1bBdMiEqEpDYfbTI9+nO6ZS0sr8daEGb0pJu8yCBfO/EK88ZURfi3iz7LqzV5FHV3U/AbkEgp8DOdjM9ITXc+X3qzBxHYtXYl/YWF6MaHyXNkUDerlss+epeIRs+g1cHZfSO4/CKyaEeU/bhjGXxU4uG1JT9OO7+w0YKstSImg5Achglzbk5fO6cKypFMFXCmskrQ8NXXU2HxLccjbDmebrxEdannMr/xMMdrlqJ1JKh6fzuvk8ssZymHCtWo2ayB5Sz8GBlOW/hpCmP9FOU38aj7HM7mIBleP0WmGM92pzp8r83q4CuZB1I7BuFSHoHcR3hu7JcMJ6pIihA0ijjDTJZcA3Rkazlem15NcUFGLW8NfwRAUp/ebqR0KMG1HwX566oHJ5f5LVYggADkjQwykJWaOLuytZQMJ7n/XAfmuMLtb/oID1ejt6a8Y8+XkwSZPhEYlQhRQTU0ypjCk5IBGklB++aNfOP8r6M1Bqftq/Goxofu8ACus8YYFzLS1rcVlbFHX4giC8hu9b4Lnhj6Q6PEzvnnRnltsHVG44YiM6jBP/qLLgShGZkIPXml0zbNHh3kK8W7eNnzI4JxWG9/gHm5bzPSHuLDBZsZN/Zy1kff51DRrUB6lVp/TgGbDv+AgFHLu7Pn8If1l7BU10t+2AtAlZSX1tduUAiQdfAmXLW/QpkALTsf1WA+oCFxfpSR80XGnTrKyvzE/VrMOTF6dmSALLDlVDfvzi2lLJ4yCj/3xguMGu28L9ViNES5fuVTjFYkcDylxfPlJObdIs4nteBMYdoGDt1Axqk3AT9Z3tSxNoweIRlOfdc6c5JkWIuok9FdaGNoew7u8SbWv/w+nbenyvUBouj5T+GPnCu+xvU8AkB8vJof2/4Lp2Z6I7M1WV0ci6r4o+a8DHoy1Pf+C+/WoLelF26UTPAkvcA6LmcXvbG5vOVVqzczg6eYf/xPJLTpMARJ1KGRp+A0zUlMWXEQFEJxJ0+O/DfxkdR7bm8uxZWxn1jRS0B6z7d/l3wamfk3yVqXjYSxhpDBR2zRMKVVF5Gbezlfz+gi/2OWM4DYr3qKYleAuDG9IuqRRcvYnT+PDwuX0GUqpt+iKixnwkfx3tMkDOnlsoUeFdOwYWwXKAplQj9eh46IIzXhaDK1tITVPHHxKHzhHYkrdkmsaFYNiObaJn6z8nyyfRE0EyWGV73/OoXxUY5npkooGzLK2JNbg9ZxhDMtVfMkEQGB7ITqtfhEhaVRLdlTgGsnjdO9eLO/kjq36t1lRVLEU8LEx2mzq8DM5vFKRsIZnBiq5eW2bYyP1vK7Y7dyD2Eesu5nVOtlMzpqJl73fmMeB1zL0JhVw0MKVdBrLMAuZeBqSBB2N5E/FMOvv4u4cT7+rDsJuG6cHD82uokBbzWjETfWvDCgsGr8ICXBXvrzVtNVdDZnH6vDMWZl1d5Ug0JnRQhrQYTxSh1dmaryacp1YzBK5C3y4a4NMpqjXmfxeAerDu9lNGbivdkreGjuBeTF1GiBxEmCrmuImleQEZQxhA+gjaWDpKv6E2hFNeSv8zeyvDnIsuaj1DaqGI6SYVVRRfSfDB6cKsaEwln1YRY1tbP6sMoIOpyZS8SgKsGGYJhTejW6d6PvFBmelOGQGPmAwpg6Ib3ZP5v9mln0WzLQKDI5o51p4+wemaG/2YRsddxLnCEe22SnawrmJaIX2F1j5IlN08tCe4VyrpDKWe+tIWFLxzIVjyQREUlY1InFFq/hrGMpY+KiD3+DOZky7F9faqTH0UXUIOKxaRhyaggPT2/+2EQ68eDtyu/4Dj9AUCSKoiFuavSiP+pi8Xu9LGyPsvl4GJ0EPTvvRNtfie/IOvw9ixlrOofxto10t+uJNjyH5UP4bttPp433+LoLqF86n2SBGdmtPgPRE1P7cJ2YzhN0Rp6tv4sFgZlbjPS5bezYcD33X/5FDszfAhonO1ecTdxgRJdIUjScmujmdbaSlLWTjTAL9CreY11EjXw2F5cTNhg5Vp1OU2ENB0no9Hy4bA2nquZh9cs0SHloe33gidKaXUihXMDahl7KTrdPRpoGxw5jbExFjvQtIhqDRIldjRyMO/WMunRkLwhgyYojiKlnmBuNc+6xQ2nn8Z8vPMyywUYWmk5iNYSRMlSjFCC8VkbRKiRK1WME/MX4u1ZyrFZlDS4cGmBJ43GuP/ISC483kAip76W1IELBKg/2kjDZC/wU61sIFajvZ9VYKhpvjsqsPRlhV89toCi8LVxIK7NAUag8rZnRkAGQk2AKqPdgzGoEwYior0Fr3jht22S0iKbwBk7p1SjvgeC1k+tyUPELumSEitMvTy7320sn/xY0CsKaYrwUYXQn8LhriH/MYG+ObqIg4qTbN73txb9LPjVm/k2y1mUlMdFV+kTJO6y/spbaOb9k7bwf8yvu5B/K5Zw//vzk9roT4xjf6UPf5CcpFaMIqTTQzuyN/GT5jYT0JmaN9/BC9kX4JyoAFvnr8VjSrWxhotSyNtjEIn89i90n8fZmYG9WFVLQoEPjH2TW0VT1y7lHFa7YnVIC7QVxIlXPE5VTYdSi4UG+8/LfqMtSPbthkxNTIoa3ajum/OfQZ6mTXtEEQLl4gv+gRyuzKarDakxFA7q106sKDAk7S7tVKz83kss5PWoIMz4RiVFMalfXJk8VHYPzOdpZyrfar2Ll0W/wZKCWRa5DPF/0GP9V9Hv0CPwiacIgqPuK+mFEbQhF1iFFChmwLqNqKIl2BCJSJ3/1+NHU2fCb7+T1PTbO9y9jPPB7Ao0/Jz5yzuS4WqOE0a2mcXbPLqJx1mc5XXEJ7RV3oE8sprcgVbkiJ0SG5pjZrS3jZEEWby6ooD3HRaVtFHd1CGmekbjOgJ4Yny3fx8H8Cjp8bu6dfQVvlK2mINqHbu0YknyCmGUtYceVxDRdCEg4h+7GKKteYoZf4urdwcnKEfdID9sah9i4/RWK2hswxGXyxlVFuL86Hbw8k8R8DyIleljTFGXbIQ+2UAD3+DAIIr15ar3JkDuKIoA9pKVr6HoURa2mKT/9EpI2vQ3Cwt6DkwawNj6ddyf6CaBGqzxERdtj9GVq6cxOVSO9tNLC9vnmGfc5oZnL6tIGusvOJmRJj1IUjyT48zngzTgLo/7nPPSbExToY3RN2M2Djn4u3v4j7CP3qedl0PHsWQsn9+/K1k52fp4qZ0C+W5S3+YdyOWvYRQWneYIr+fmuPnpOrKK16QfEddlceCjMihb1/amNl1PR8D1e7r+G/n23MXL8MwwdvZaXTHlsm7MJ7TgsubefX/z+Z2nj7Vm7ikS1k+RcF3Keeh80HvWY2v4wxnf6cA+np80WtTSw3nuE1d66Ge/bDtdSfnj1eTyzZROPbLFzZMEmDi1UAUClwzI3bk+Bvue1j9LjrUHCgEkcx6VRo7SFsWEKfQPIGg3vrVjLUEZ6D7flJ9X34lc33MoPv/h1nBYdF7Tv4fLdb6NJxvmgZinfmq+loGEPyw8dorq5GWMkwlnbt2NsUo1wzTBoxwUK145jV5LoEqoeqZ/nIGwSETTgKElFGee39aOPp5PBAdyz/yFujrww470Ir5ZRDBBQbLzQfg+KrENbmo3elkSjKPz69z/jCw8+S/9+lfZAb0tQtG4cc5YKtHVVhtGTwL1ml3q/Rk9T7lM5oK7cHWRTQ4TL9oWY16Xqph8KP0N59yLmG9+ddi59DeoYkTE9iiwQ1WoI63XoLOeht2xD1GRO26cluoEP/HeSM7wQgJicMkQKLalKvZ7kIDlDqqE37pyFkisx/psIrkssvJP4Lk+P3Yc5O4bXkc6sfkZe8PyC2nmfds3+/3vZkmHn9uqNPL7/YepH6nnwxIM4DA56Aj2cCbJf7XiKrqESWjpL06pwhKRIwjALffQEkpSJZMxEDKqeQ9WcZr5Q+TDHnquFpKpgRm0mThZkUj48jikhkR/w0qzYUASBxaE67CYb3o9mAaoyac12oQn6yR34hJYGgKQR0GhGKPGno/TLfP0cya7mL/Mups1ZSH9RL1qrimHRu3dyntbKAk82wb4c8mItYFnCgFZhpzFBdzI1AXk0Cm+ZY2xKhjiRvY9lvSpFfYVnIe8BWdEsLEkLpqSJiFZVTkndOGhCNHuq2DDuZsXAAkatMplakUZjB3/KVStX+oyD3Ot6mwwxiTVhQ2c7jmA/0ydKwpDzBr1DF/BBRg5XjGr5Tf3Nk+d18fEgWTEty09KvKGkp14ah2pYW3CA2Vd0cPLxShJhHYrsBdGJFD2EoLHTWnUF9kAXkmMMn87KKW966Xyeyc+aLNUo60Q1PkroQ4PCm5pVadvW5gXZMH47hd4Q3xefJZlspM+icmFkKzoqaWA/66keVN8DUatGZnL9A2zO+znvhL9BMLqbs9+vR1RKGLOKnCjRs+lE6roaazsobrZRMDKKKEt4xTYU/CSjB9HoihB1xWTJqykbMeJxQeOsZRyev4aIPgDRvzC/Zx6iXlVoSRH+du58insUigY6J8fQKBL+bDvJHoG4oPJknAlrD2blc1nWPdzW8gTnZZwilLyYoHQJohDH4PsbVb2dfOvRv3B0/UqghPpSPafz0lNaBaNJlpwe461lLka0WQwpeRyypUrN8/vfoXi8nNP2NyDQiGD7DYtaTqGgMDDfxAlfBjvnjbJvtoAinkYXm7ni6FRBhJUtLnLqbmMkAYO6USx5DTS4l4Ie1jfXYnEtZFw3TpuxhwMhLetDqvEY0VqIuFMRnFK9SOFEKm+vo4mk00tRqIBifzklSZEVMTOj7loyx06xrPE4dz71EHGtjj9fccP0E5MUBF8q9VoseNj81hvU1y6nsL+T7pxSKiJRnhe2cdHwe3h0DmzjJg7Z59Eu1rC/ys5PytMxPx8uS01SBWNJBODz7/vpc2uwsok3pVIA7ObWNGzr6rE6nnXk8Y9zLgGgpqOVpZZ9rHj7FB1iBR8uSxFq7lq4jO89/Ccayqv408R1tefkkBQ1aGWJwtZ2OowqON14QsD+nAZ9h1rAYM5Sr1cjKZyhyfE49ZgjUcxz4oRH9cT96eX4u+ZWsq4hhbczlIaYbuaA72rV8A8POEg6BwE3gj8Lc1aMeECdQoOWfPry11Le8Rp8jCJhWJNJ0/gl1MTfo8VVREvlZ7mj/hRvr+6maCz1XtZ2xzlRqjqtFaZ9acdQJOhryOaofBUtzSeojanUAEGXHgQBja40bfueDC3Z9kOYOuYiT3BqJaJ5HA5+hnFJ1TO5mR/yW9dZ4I3Tbc2m3VHA7Z2qcTPunEUmZlqP3MqxsUWTx23JvoR+Ye0Md0mVho9OsPWs/0PDrX+RfBqZ+TeJIAh8Y9YiskxZJOQE9x29j7v33c3DDQ/zhk992UQBvlf3ALZgemhY2xkkZlJfqJhjMfE1OSgG9dEtKqkn0+zBUK5MHYyuTAfba0oIaw0YpQT2iOqpGZMJxrxFZA+nOlrrJRlHOIo+Ob1MGOCFVSmbdzgzvamlBoVlQ028WrGOU1k5iMWvTq4TSbKt5mmKN/yeePAfWMIHMUqqujhgTJJEi0kKs9yrlqk36GVanJ2cyPsobQxLzIE5XIaAkJZuAtCZTzMazcA3qnoLh0PqNdxV9qu07d7LfZWns98kXvDMFEMGBFFG796HzrWPx2dv5s8LLuWUlMIQRANxJBR+oEwHwLYOl50h9aRki2pUyMle5GQPyehuEqE3UZQkRxb/J++t2cbbS88jJKVPvJcXNaCdCIN3ohofpfQyrDjTtjPLMuvk88kIl7I8VMuPmgvRxduIaNTnujUwjyWCquDmjo5PXJsDRWNCI8vog8NskR7EbrmEpePqhBDUBfBZNASM6uxzRcZ/8Mexu8iNdLC4/g8sPPFnVp1UCQWVZDeKHEUQtAQyVlIyqr5/zeXV9OaXMZY5n5Dr88wdTzUwPVFqYO/iZby3bnoO3aXJYtxiRBEETPEEFx5rIu7M4sPV53N03mqeyL+IE+OL8Us3I5NJUsknZP8BAFePvMVj3XeStPp4dUW6oZHhl/jCB35qm5spHFbTt7vkjWnbxJP/4LTtbtqyjiAqYazjj7Kg5RTGdTH2eUsRFRvD1gwUcaLDtBxEk0ivCAHoyzDh1Co4h1dQNb6CZNtWmvf9B316tZplbq+Twro72ds1j7+OGqmPaInMQGsiAvNNIoIg8AZxzLKFE6XPY4gfQkHBJYusiuk4Pu+OSYq0i3e+z6aMN6cfDBB9cYSJcVbGGjh3/EOskSBrDn9ISX87K+p2YSNGA7M5YZjFTb0v42m/jIq6KuZ2/LNuPqrM6le/4cKxJCta1XQWkpoefC1cMdnLCmB9WE1rjrhVnM/ipgY+s/c15hzoZGFLOsdTZ546yX7lG3enLW+e4GXRJyQME4a6oAhYt2vQd4oYHKm0en5XyhzxOlS9FWgxkr3Zz1QRnQoFn21DMqvXK5sUEkX//Npn7Rzg9p57ABmfVAA5KWfs6KKv01ewgZaqqxBCk0TqJLQCR4RtnAifz77gjdQt+A/Cljy8A5s4ty69rNwVTOlfi5jeC8/TauFw8jp68s7ilONr9I2retBbnYHOemXatn59lEe22FlueI1sXTrp4JkUk1k3wB2bP8NLhVt5o2w1J7IqCelN/K1CNa789lI6uJFg/6K0/Y8Ll6X99plEds1JRXcT0X+O0fpXyqeRmX+jCILAstxlvNmRroTe92u5dckPORIS+O3iDO557NecusyJoocyRxdjvnwaopX0uTdz1HwFALEVWQgxme86fwfAPcu/xUnfMpRkArsmztMLt/HNyAP4xnIx93UxaziENjFKXXEO0WiYrOEUaLG2fxTflKaWAM05LmI6LZIIC9v8vL1UxmdVaCgRicQqeXrWZobMLkr9Q+QmO6kKSAwuT6d0V0T46OVSyi3JSSpvgxwmqkmlqgoi/ZSE+jnoVH93a+LEtXGeXHgPV9d9FxGR64/eTbfoJzfupCq6n+4p1X/GwifZMtCNGNkAWIgp8HV55jzzjDIxOxhzX0dOuHm7dCU69w601lYUycR+ZC7VjWIzDREduAw54aCi8Hk6Om5iLJ7LSCSTbPMo1ryJCqDIR/iqyikvCzJ+SEt294vkjI9yIKxH1ijEJ1IoZ+WdpsjkpT+xmHrfhbxqNNKpNbJW14GZAMtjf047TXtsnFwxhSdZEZzH5R2XcyjzEAl3J8tqd6MArpgPff/nSABhsw9B1CF4IrzQM4+K8/tgj4w0AfZzj7cARTy82cbjO75La7CWl/g5PmPKcDMkZQRFQRFAkXoRRNVoLBme7sOqBneAriwt7y40kxB8gIUxdw52l8z5OSe5dNZvKetsYtnxvZzKVyd9d1AdT9FbGMxRy8U9JYvoag+R+bHskXH1nbTZE5y7oIwhZ7rivGj/s5QPqSR8crKH3N4kHbkVvKxR+yBplQS/PfYf+HKiHO7UsqdIBWvqI3W4xlw8YynmnTUDrD6RQe5YevrNMfxTPAV/mPwtyGEUjYUx5Sn8wmJ+tGAeOq8O54h6X7J8SSLhJA8Zkhy3qNVblpgDbWJ6lOekLUm9kERCYRdJovE8ru87D1NkCI+YIENJGcANK+9A9IWo7n+Y+MaZ4giQH/OwSXeUOfUNtFSUM2R3Uzye+t71SoJELIJsNHNKU0ZeIjWJ53hndmjOyN33/5olc4awYmKoLMyJuu+krbf5TnOW49fcIL7LZ7UfsiZQl7Z+YUsj9ib1GygYSSfybC8opi9relnzl795Nw/89NvM6ulka/fBaevNOapBH5X1vDx0JVpDL3NKjzKSYWD/Ei2h9RrAhrtNxnhCNcIrNgwRe9WNZgKoHq9UQATNELge0ZLMURASMH5LOjZHiESwu7rwx8t40fBncmfvZzA3RRw4lLMMwRjjg2E1eiEKCTQG1ZAaiKdjqbztatrujIGaGZC5qns7+7Jmky0PE/NpaX9LdTyGilfQV56q899b/RuKzO/jLtxJfMzLYCJFGBk1g0GOsdx7nA/FLdPuF8Bhg6qD5WwT0Skg8bFjHuRgCFG0MOZcMOO+Z8Rj3MPjW84jYBQRFBWUf2G475/u86+UTyMz/2ZZnrt82jIFgeaEmUVFF9GTlckrq7extf4oq/MPkWcZZm5+HVdnPs9tlg9AnFCyJi2KM6XkHjDcTknRKC63CY3DQYYlRumsehI1KqAxy+fFFY5R2zdKxuAAumQyrXTQMRG5mVymMdHntmGOS1SMxLhql+r9nCwRqM+spCGzghGzg0O5s8mWBtEUzkys1++M4+9OpVY2je5IW18Y7SM7PoaoqNTcfSbVI/GbRjmelyKoKpbtSNoiNta5+bjszt2NNqGOISMxZE6FjhVZP237M2KKW3FEU5Eec9FjICQw5ryF1tKGzn4Cnf0kCZOKNzDmvUhJxk4GxABZbrXiprm/Wr1psgadJYkvt4CkxsZosJKSzX3oQicQY6cRY360YdWrLDaPs8jZT6YhTE98Ho2JWj4UC2mXM/HKBu5NpIdpBUXmaw3TvXC9omXZ6DIqJyrDBKA8MkpCsqukh1KUnMqUcul4N2+S3wNg4cn3MUfCzOo5wVLrfo7HbiAZ02CR7HgcFZPvwpmonp0UWNQaU9An0j1ZRdAS08LjG20MurWMuVJVN7YaE8+UXEhXfjkfrT4PSRQJGVVjIiOo4mZEVzXSRDSkLTubDMv0MmBd9hwOzFo6zZD56vFOauvrsQR6UOQIcqKT4v50GubzeBX3oj7K8iXuyEtFP0UlRleGho9q4ow54pwq9WMParHGVFB6djLJtUdrsY/cC4Bl/Cl0MfVeHFqq4aP8o+zI0fF+tZHmQvV9Kx1Ociwp8bBmnHZjLyhQ6JuOr/Fqw7yuSfA2Cd4jOdm5Kxa1EMsrJSalR4RGjHMYyllGWC5F9MJXFZX7ZE3rcaoHuhAUhcUDLVT2d7G85TiffedVMvxeAOLuHOJWdRKLJWKEtHpGxsz0TiFKExVY1JS6b3d/mHrv1tYdYszhJqi3UG3aQZl4gnF3OuapuKKZTiWPl+W17JdryIuPUh5WI2QaJUltRzNntIwAXP3Oq4gTwF5FFHl823Q6fYDvT3TlPlN8EBW1ICiAQrJEjWzvEpfjw8FIdw0JSYusEQhZUv665zZVhxWuH0NrkskcVH8rKMRmq+dgaBHRd4mYD2ow1osIE3hw7QBoB8HQLFIYb5g85lRDZnKZI5WGkRUdiaj6HST5WGPICTb08dIOBifaclzXsp/1nkMkZQ09+zORBRFZEDlZPj2d2FO0hdnKYBpjr0iSWVlvstjfiB6JpdbnEEmgE9Ijy626mR2+xCI3A7qZmxdPlcq257mm5XECJgFFFNg+30xbTpSC+dPvx79LPjVm/s2yLHdmmviDAweptqiGSt2sORhahWnbmAnzkHIt9ym3TlvXK5Qwd94H9GtUxPy5DUfwe7OQ56aHMrMDYTYdUNMR4znTJ3r/bPXjr+7vZ9vxdqoHVeNizkSJdms+nMgqRjR2Y5393zjdH9JeW05f/tjkMRY3OVlxUgWqDX5M2RVF+7ho8PXJ3wXRfh6ZvQpzzQ/Q5+8lXqh6a7Hhc5h9YnpMXtBW8rf75MmKpomlvFHzNwZsp/nrqrsYL3sMgIR/PsHmHxDp/ey049x46Md89tgPqD59U9py2+z/nrbtVBmdqIBi4v/OXZVknthG9fsPcWn2d9BkqZ63z5eN0ZXgdI6LA5XpE2+RRcUd+bDykdVFqyNVzfZqYj675FQjyPt0f+Cg/kesW3YHAHJwCCmiTsSVflUZlk8Bh5+prlnl/htfzbiNspwUp4Uip1MAnMzXcPOTv+EHPb9FBG7LvYJrM7+Mkhxkf6lIfakahXFPpO7i3tTEKiU6yQhMCYtHZRAEfnm5ezI9M1WOZs6nyZKKLN37xbsnK6EyghE0uQvwlqQM/YhW4DOXLMKjF9g99CLd4VQFSqstXW19qTVG0dH3SCoC8eBLnNbEQYmQP5ReJVh9ph0y4DeaufadIgxxDaDw5NZe+t3qzHW6MMQ/zu0jO5rDXV2zeaN3gMvb38EQOUZG722YAm+hi6rHerf089w9N4WxOlEy0bNmOIGYFNCaVMNgdv/ZbDqthvgP2wb4gz3Co/Yof7Oo9+o/5/2er0T+jDPuBeDZ+BKIBrC40r/fMzLurMJVJ7OCffzc8y2WtTXwxx9/l1fvuoklB3cTDA7y9oIKdlYXYRlXjfGk2YYy0VNtqfcg5yR3E1SctMfTe3Bt3v0Wj79xG627t7FUeJ2bdr3BjXvfZP5oF6VrxnAXqNfu8iYwDj42uZ9ejuMaVEvZG5Ry6hX1/TkDMp4fbmLxpZ0YM1IRpZtfeZqnnrqJi3eoYNf3VqqGwJYDu/nrT1LNX4cys9OcL3G5QPVnBqi6ZIjCDFX3nEnTioh0+4qYSSouHyApnWnSqxrpvmskQpsmDCqNQmjdhHMgC+R8V0fON3UYn9ODFrRBKLQ1zXjs/6m4x9PTaxe8/w/OSrwGQDBcyhXH+nlg+HneWfAXPtrwBz7a8IeZDqOee6xikrX3Ytd/84XsG5nDITYP7gYgU9fJ57I/x83Z17HBfv/kfmPlf1WBODNIU2U6j89vLnbyi8tSPd1qeJOi3u0ogwr3n/rR5PJX/nQrkQPpkbp/p3xqzPybpchWxLaybSzOXsy8zHlUONSqjsNDhxEFge+V5zGUkcXBvA0YRqaXmhqJkskoF8ovTVv3TusWAsEUz8GJ4+cgFM/cpRlgyGilNSe98WBw48xtD/I84AooJLUCY9kKxtxXEQQZKec9DhelojLapEBNl20yTN+fFWXcmrL0x+xxREsLBeJuyiMnkcxDSBmNCIKCxn4MjaTmeO3jLta0foAhmp47HndW4QjL2GNT8g+CwoD9NK/N+VPatsnAHECD1l8JCSu2aAYZoXxWdl2EIkjoZD3zI3asw58MaDsjGaEC9EnjJNdNwDCEoAlQnzUb7aCKCekUR4gl1OuWJD1D4/mEi6bfT7veQDd57FeWIosyPZqZy6PNxNkqHkEjXZS6puEGpEGVz2VxXwxtIoF5eA7KhHEXHlGBmov07yAqsKZtFGeRH1FbhNaYYm9NhN4DwJCIcbIvg76Ilb16E6ctHuzyO4DMkE2DAlgSOvLCYfxaP1K8DSneSjKynwsPhnAHJC7dG5wx7TRVdjkWs9u8OG1ZW/lcJIONjjnrMS3/Ekfc07Pe7+doGQifpt2fqrSbul1uRObctn5Go6rhImhc5GJHa9iAVkqy4qgaCSyOt1NLqtt0wKEhLDjI9MxcBSWLMu2OdkakEoyKQkapRL5vFqIcREBBFz01435n0K8lw0kMisCcCRzaxu4LJjfps7cQFWFYE0c0dQMyNXlt5JcMUxJJtdfYFy6izRzEquvAoEmvRhrOnIXtQw1KSCCiyFT3nUArS1ijEYKkvPCofso9NZtImlWd0he2U54YIQMFb1w1MhXRg05pRUgO4PcI2KQwpWIvOjmBKRFH1mkZ6XOQlFQDyxqWKJJ7cfU9gTEywoKet1hhn0eOFCFDCPJocisANw68Qmmkl1sbn8PfYyQ6php8pswoiZok4rLAJH5GniBy3Dqym8reTpafrJs8/YHMbEacbvqysllQ2oWoUZvsTq4nxVwd9E1nsQYYlM0ETqvfqDknjiIqhNeljhGdoxC4IDXJiwkBTVAgOVdCsoExI06Z+TAWYWzasd3RYzOO+XEp8u3BGpiIViUjGHoHyRxRcXxNkbM4HLryE/fNHKlL+90QPpeI7ERDjDx9EwYxTE2wnWuHUxG1uDaBKMiUm7YzaGulIWcXcX0Ax/CvmEmOzjIRmsBKv73ITNgoEtcJ7Kw1kqVtY6X7aQRRIRnWsunYfla2HOPHf/k1GRkBuuWZjch/h3xqzPybRRAEfrn+lzy67VGePP9Jnjz/SbSClr5gH33BPr5cksPgpoXc8tBfWXtV6uMI9KUmgpUr3uNvm3/E4KaF7PivL1HdqRoAxXsTfHnnM2njNRzdQsyUjuI/I6MGM635boay1Q9fNil4TXNm3FYAaieiMzZLJ4JmOrkXwLXvFqGTRJxBHeYJXN4r6wcIGpMMZER4be0AHywfxl/9OiOLH+eNNYPoHHUAaIVeFWwpa7iqfS/GZIjV+9MjJSFrAXGdhZKxj4VsAVlM9zSksJqm2CL+EXRBNpy+miuOfwu/YYyubJX/RZu0cFX3OdjitmnHOyMF3llccfybbG5ND/VqzacZ11t4SH+ULnGED/TpnYz/3vhZ/q69AW9eulHaaFjG37mafYIKrhuUZx77CkM9JiFOUkmlwsR4O9KoisHQuatYfuAgw4PV9O5az/rdHsLDs7BpUuBuEaiOVaO3XYFGr3rKifBHSPHUuY7GLHxPKOfWgiw+l59Dfa7qeUpikmG7mYZ8PQNmddJPhF4lEXoNRRrEHQhzx5s+5vbEyfPM7OVVdPcgyDIdliLGrOmGc6xoGfvOuY07vnQLu3L0nLKr6mhNf8r4PWUXkZEZjarpskGjQK9ZRFQUPno/wOs7Q+zpegh5ooJE1OZhVQS05iUYnXdy45Hn+cb93+Oqv/8dHSmgaExr4InCa+hietp3qvQbkgQxM+DMxTa8BTmupjmFwCeH4ouVToZldaxzBldSOjY/bf1QhhplMmS9i6Xsz1jdKuOvJTdCdjyFbWk2V/FhZB4/sOTyM2v6O+RxVRD0Gtjz7CZ+cfhO9k+wQs/cNlGVzZr9yEYzOlEiJlt4Z+we8J+PhB4dfmJjjxDwvgYo5JtUnIcbHw5S4FlnPILBIBOwqEbHZaUnGSs2svrAD7H17salKWC9Psj5hiYKNUGqo48wL9jK7p3XU/1QC3171PunsyQp3eLBdb6feJnCvM5043BN8BgCcN+T9zC/S53oj8yeyxe/81Nu/MG9jOjS3yUpIWDxBycB+WIg9U3t2X01Q0OqLhiQLIRH9Sgy6C0SrZenFxQoTpBtcPIH6cSEyTkSsXIFS3YcrRDnUumOyXWrbI9yYeNNzD/2NxwluyeXR8fvTZ1fPBXNydc34PKqvFBObxsCCspRNSJ9pvJoJskLHubFz9p45OIY5zrVHk+9cRXXkqdvQiOo75xRieNSUhG95mEVh3Rao+HluX9kd7lKAaKPnSSr+zqeG72IwR0bmOdTU6dRg8i9l7m55yo3h2alsGM75prJr3wSsz6Aya2+/3173Pzst79kzfEjyFYDS+emHK9/t3xqzPxfFrPOTG2mSiZ1aPDQtPWLFj5GXu7lVJb+FG34ZsrL7sIyBUtQ8ugjLGxVFcFPv/Bl7r/wKoJyKjoTTGaw/9ZKemblcuTydEKjgFFP0O7iwMoVdBcVMnCxm8GjGtpWrP5YtyY4mlXFmKBypozkfYCo90471y0tnyOqcdNjLERAQB9JfZhNpSHeWTE8bZ+ZJCvoRKMp5FD1SgacVjqdreQM7sWcUPf3Oqq440UP+uQnc6TM699ItRLk2/Vvo+i2sKntsxRONCnUijHcyVTERJews6Z/PaYJg6YwVMza4dVsPX0VtSMLWNqpgq5LvLWUjy2kengZOYFSrBb14x+Q7byvSxkHGk2cuCLSHipAQaQ/p4CKoXFKR7zoo1Ze0taiKCom+ngyj4BiRPjYHf8xRsrkLA5JvyGuqGFkg3gEo7IDaVQdV+MsplxbjiDLdFLM/tgGpLiNYu3+tGPVJ65J+32mD85UOVzjnfz73epUxVpDoWrojtnjnM5XDdihgnG2L+9l0KamUGKaMMtaguSOp4yFswb3MK/lJBcf0lI4kpoMq7o7cMXUKbcpL5ejOeo9/8MsA5IokBuMsGGfD9dE2c8BqxplkJQEh0bf5nWjWsY+2y9jlWDH4LOpizBmk9QvnPxpDfYyq3GUGvsQm3PbaH21BE+zA9+QlT/W3YwsaIh4NyLGUtwceiH9OYwYR+ikkE6KGJTtRHo+hytcwnnkYmg5Bop6zSZ/yhOu4SQVUya1c1tSqcydZc8iW3oQNEG0NvW7LcjZQX9fNeacCJc6dlAcTm9+CiAJ8KYpTretiZgmjE428uLau3g4/xIAnslWgc8+83QjH+Dy/BOs5iirhSMUmb2IukJkUmnmaHwqLYOCZVYQaWJ2uIln0JHAahtFW9XHQK4Rr0P9thupwpORSUKrhUSYtuAR3Bo1DXqN5kOuFXeTVERCg+nnpbep9620J0LeaJRsq4fSiR5kFaFO4jvUwS3ZMVYOqRQSL5y1Da/NgaTRcMPcnxIRU+f/fkMlFadOYurxsC9Rwvh4Lke7ltPashJZ1uHzqhN6bJZCcKXCySIbfqsG8+p0ndQ4PJvh4VKaO1ZzcNkyFAH8FyRJ5kDfGgO6PDUCaXYl2Cj9msrE+5S538bvNSDGBObL/8Beshd7iQrgjwdfIhk7TiL0LsnIHko1z1Myt4eSoXfJGTpEeaeactclp1dLThV3tI2z8//EHT1PsdpbR77+ZNp6o2X6N31GDnsKOenN5pWIyr4sKLCwy40jqAUEHgiaqDfoqe14etq+Cw/XI8gyt7z0FHO62vny7O/yQvYWDlXOn7btDs/17N7zySSN/2r51Jj5f4GcwdHMZMy43WuYM+eXzF1XxYYLvk1Z2R1p642zZ7Pl7E2Tv99btYEnNl2INIWp5sGsL3HD13/Lf275MXvmqIaTz6jyE9RVLiJiNLFvzRrauz9HzBfEeO0OemoWTu7vtxaxeKSVC+tTof6Py+yhlVSOLWJ3ztXsc6nXU96fYvVtKPf+j+9H/qAGg+0q4tnXUl82h+fXz+XbN63DblCVv9dZhSMk89lj35+2ryXm5Ev77mNN16UslEMkSy5lzvAaqkfUFIssJKkKliAKApKYSsG5IgWc17eVZ5t+wx+672Jl7wWUD69mRfdlZCVSqYitLZ9n0+nruLTh64jmTkCNrChTJkGnqGVYtqFMfF4dySrygxbm9I/x1zlXsDtRzqBso1d2cDSpViFkCCFyJ0B6n0HPRvRsScwnL6F63IoYJFP3A0ylEZSYHzmgenLGhddR4VPH2RM/D4DaaKo8PiZPT1Uq0gg2bZQbHE24DXGS4sdNV5Anriem06CgsH3xCLsWjuGb18VbC/x0ZSbodahGVcnoSbLG27npvZTRcv3zL+OOZGJJGijwpiay1ceP8uKuAKKiMGASiU2k2DqsqgG+vH0PovNx5B1daKQkI04HRT51AmkP1LPHrj6zpZ4k/tirDEZUg2qobBHRglxm96ZaIbi8rWgikF0wxkLXAOdo2+n+KJ/nmy6i1TtB/KXo8LV/fXKfLfb0dNmIcYQOimhXihiSrcjxbG7MC3Je1W4uEo5ifHcI4zt9GPsOoomrRkjWQIiC4gN8XBp0SU441Siq1nEMUa+mKvqkBC1tS9m963o2Z7TzkfO/MErT08MnDRIvFxyj364C3LOFMhbFU46Lz2QiUqr+zvEG0crqM5zdN0pmSH23trKLQrNvklDxjMiJFLbKURpgZJ6GoUz1udkJ8m3+yKJFb5GTp57/uFM1ZvIYQRFFRrLUCMeA5xAx0UcBg1wjvsn39Q/ypHTWtM7LtoLU9c1pCeJ2RFjaqDoEiw6nJmpzdpy1E0zCXXmpcz5mn8OPym8H4LXe2TQYcznt0JEcitEsZfNobDnHW+czOKjSLHi9Kg4kUa7g+6zEUIWBQ4tdiBNs6cmkej2xvlKam9aRiJvpqCjn0J0ZBM+TQQCP14FlIiKhM8nUFuzhnKI/4YpFseSq+Jv8+iDLC//MO+JEpCzRQTL8PpAkGT1A02g3951eQ9Xm09Q2PoItmLrvOYOpSq38/l1c5bmea7Ov5Y7cS7mm9BvYzF6yEh7Wjx7CJAbI0HZObj+UE+dztektTQBO+bKJSDreHqgmNKZGm2o6bCw8aeP8A6qBVy/quS4/lw/cbSyaatBEkjSNZfKLn/6Iz777Kstf2cX4ngR3zP4ejy29ZNpYzvF+ZM/MxvS/Qz4tzf5/gSzLXcaDJx7k0OAhFEVBEGbGUHySrFs8H46mGxrPLtvMNYdUjpB87yi9btXD/vEt/8F3/vpz4oL68XUXlOMcHaDEM0RvnpGaTAOiVuHk+VHC/nXM7tuFMTrAjvXnMKv5aNoYOf4yarpBo8iUhi4BYF4owgsuVbHNbbczZo/TlZfOTTPXmKQhmv7q6ZJGElpVwbnjKcCuqCui/K2j9BTNIpzoBw30Fm4kVixgTFo4/9RtyIl63p63F0VU+zadkaLx6d4DgqqYMoeHCVgOYfevBUHA4a0lYG+lKaIlQysSnKhk0cedn3jf7QkLofynGey/ZLIRbmmkhuFhN4tkDZMMDd5KDi65jaJTfyWgTGCJZAfJKQZnPhq+rdj5SOfj3IyTMJhOmCdrEggCOFwxOjZbkW1mzhS4bzRtZn5Q5mBIIk8HGtNFeBMaxpMX86E/FS0p1LZA/F0szn6WZvTh1Edx9mRx0jK9lUQyw49+VB0hYE4SnMgZfpglc8YHOpG3g4p4hGttH+Drt+O3VLHs6AAt3YXkDfTTUpNkdbyFkuGF7J8o5FmdvQ3buMRsv8wph2bauLVHmtl88BCbOcSXq37EyYpZvLj5YkatRs7a8wbdBSq+o8L8HskTb7Bi3MDBDSXYBYmEXo8u2clBQ4K4ANqKDPbP+ym3VT/M0uYdFJj8nDaXsjf28YoLDeHOLzEv5wBbi/bg0ijkdkf4jdXJgGWA5x2zsI3nk0CLQYxRbFMnoAvK38Y0YCISN/FOuBz72F9I6Mt5O7mTY3GYW/MosxpTbTAU0yiFYQcDxkGMOW9MLhc0UQ4LCq8p96FNyCCCVTeGUPQaos5LpPvziIYRjAVPIQgSIyEbZRPvdlVCw7GJarYDVdUkBbVizm6VmFU6QqQlji1g4oXQr9AMCSywvsnhxOfQGtONizPRurmOQTJmj+JDw1C2gfxhVU+IQPZwjOFsdbIad+hQgCw8WAkxnJNN/sAAi47VEbDZKM1PVdHdoH2f08OqTtCak2TMDuKsTNcJ5pwYN77+PNn+EbbtTFU8vp21Cb0YQyfFSWjSz/mRgktJDoR5d+smEjodd27/Pb5VNqLz80EQWHz6Tb7e+wRxdDwdu5Bo1ILRODOguq11OSAQCKTSTh2SC6JzKUQFvss+KzrTzIm8slUeBg12wsN69F0iw8ECvlT1ACjwXP98xsKqQ5Rn8rMp5zRh0UrRxjH6uu0kTSLmAYnq1qcxxsYRFIla+VUyFgaRPzYX1IQ6yAmplUg5uk7GkqWIQozNylscbz4/bVtfwsAhSybuai/W/BDlRonugJOlo3pkQB/TsqTJyZFqL2dUUYn9NRqSl5LQGjB5wijAgYxalvW1cGPj23TZcjngz+JQ7ULeW7+Ss3emosC5vmNoXdMr9v5d8n8tMtPZ2clNN91EWVkZJpOJiooKfvCDHxCPp+eiBUGY9u/+++//hKP+f1MWZi1EK2oZCA3QO8VS/5+K02Fn8UB6mNFnttJtVvPT+d5UHj5qNPGTW/+LmE5LxGBiMLuQfqcaZu/NDiEn1Mli58BWxgvOAqCjopzBfCfHFy5iSUeKynpZ7zZWta7g1tdPs+jE4wDkKUZkQcOQoQRREVhXn557dkbtfO2gxAZruge8pfUGdEkD1piT8kDx5HJRW0hBtI+4J8luVyodMCKrKa+5UpjiE0EWn1aVzBzvP/+YgrZ21u7cxeYPtzOn6QhzTz00uc7mr6I/ASdmYjabQfL9legcdcStnfgUI3bZRG8wA4s8fZIWBAcfzU+lewZlG6NTaMVvVTIowsR5lgdJZB2ftv9QdcpjWpjVQkc4vf+WWyuy2KxhgUVHWLycoHQJLVGZ6ETQpUgnsM4+xMX5H7Al7zROvWo4LnH3MZih/l3Wb6ZoSE2/KQUjaAV1kpxakeYzplSGLEpcYngJp2WUkqp25lnfYV5bE8veqSNZm+Brwq8pX/xX5nii2BMKGTGZuT71mEs+AWNzJmUKsLBF9dA/WrqahtmLeXvjpfjsbkRFotD8FNo+mYxQlG1vNpM9qr7j/Q6RHaYk+4xJdpmrSaDn9/W3Up/IQidKvJmzbcZxpUgp4WEVP7PMIrHCmjq/o+4WeieAqTXW04gTUSutKPPl3MfI14YhVII20YsptBMBGBZhp/MIw5ZUymjbivtZL6faAEyVYbMXrZB677LznkZr7kTUeTEV/x1T4RMIE8/jdEaqPYRDTk1272emeEEWVPWy3NLMQtcgTbNvIGgrwqcUsjPwxbT0EoAseVHkcWbZRjgnv5VElnp9Pkc6fmNeU2CSL6qtbxFDqBN/Cb0MZ6cAt+t37qKElDGTiIjEAzpAofzcEdyzwnzcXzO5E9iSIa54922sUTWKNJSdRYOuhqhRy5JAIzPJE0uvZTgrn3FnFs+cfSN/XXDdJAj7FxW30GPIQU+CG3iRIU/+jMeQklpGRsoYmdIX7GTYye5EOXF/JtGkAU/EhWGG73qq5C72E/NpcUdDPGH4BRZtAosuwWcLj2HSxBGRuaTwFHmmIJkGL9bcGPkFfkrLPZRuGUUvRqjoeJWK7tcpXj6EIIJGmB41dRNAlgVyk2pKp0x/hALfKFtGjjAQnzW53TOd88laMk7xxgHcs/zYi0MsLBmCcMqRnNfuwBlMPef+hEJpRI38rRtX7/mJKb33vn/wEfSD6vPxaxzobSk9rgmH2bryk3ur/avl/1pkpqmpCVmWeeCBB6isrKShoYFbbrmFUCjEr3/967RtH374Yc4999zJ3w6H4+OH+/+0mHVm5mXO49jwMQ4PHuaZpmeoG6nj/i33Y9XPTKX+cXls62qO9Q3jQ8N/DI4T0xvYOW8p1x14l+yAF62UJKlRH3fMYGJ9Uzc9OflIGu2kMZPjH+Pxko18cWw3m/uqiZjUD+mMovK6XFx6MEFu5GxMCSuZ4UKs0bcBcHnbQJExaMycqzmJv6QMScmjN2kDUl2J1w6t5x2Llg2GV3nrxBeREll8rexF9N5aPnPiG2hkHeKUDtOitpDCsMoQPJbtZAoWEQBHsIUlPUdZPiLwyraV6AzZ9ORup2gwlXprd9cj6z1kxJ0ktX6yRtSJr7y9HVmcuXrr4xIx9yOJMazB1Me6oH8TtYNr2eXqYFC2MS5lsFz6ZP9gQJfJGY6NEUV9roLWS1nRI7R71zLStY6PCu8kU/9d3qm5fXK/FVoj1+R66IqaKOlVFckF7htodV+AqT9FO5+tSx97fEqTRIdWIBRZSHCPm8Pzirkssw6AYosPKWMM0JI3ZiShUejJidDplDnb5Kc77CKQNX0C/vK4l42hCNWJdKO0dwLgGauWKdKqE/mi2td4fN//w95/R9dVXev/8GeX06uOeu9yk3tv2AYMNjUQWkiBQAIkISFc0kN674UaSAKEFEIPvRljg3vvlixZvUtHp/e99++PfayjY8kk93tvkpv3ZY7hMax91l67r/WsOZ/5zKuQNDCdUqbt386j1WcBML/9GHuqplEy2E/BaCZ7bU7zMf40TnekuVbnDlXTirsljqBlBuHqc9+mNj/J66b1Y1Xkx9vzPbN52xSHcbzRH6z4Noom0uKr4eEj19IcqeZrb32V3kQhF1a+BtY3x9oeNsUwuZ/Fm3OEuAqaasIsxzlRb8Ol9vPZxFHuO+2YKQT+NuNXfMVYisPhxegYYJZT46/jwq/mcDExWx9LHS9D2lnxiNNBlzOzABEN2RfktwzyxPS7ufLorbhVkU8dfYZ7pl/GIedMTGqCpaM7qTDp99FaEGc0cGaAP9zwNJs6FvHZOYNYp42wgcyCQZEEtizKYfnODA9CGrKyr385fl8hbXgpYogreQnNDcfHVcRWHovTU+miZIkfg0XFXRdGMipIxslVdgURrHkJwv2659Kck6B0+Sjf5BckoyLtvjK2u2fjTgZ4Ze/NLFn8lwl9HLVPrBm0cMnjbN15LTXRHtaG99E8SUXzs3YPspZf8huupZ9CjMO9zBo5xK7KekYSOWzbcwn9KRc3m7JrNwUVIw4pe/FtyU0y8rqdRFiiQNdqxCipfKx2F5KoMdpioe+Em4rVIxisKo7StL6Xpj+rUI+FUauJu4bP5baiN8b6HTzgYPOMuVwhbwZgj9zAlbZ13LXlfirjx1DWCpztupvX/beRCFrwBXcQTAU59lgdIFBoCxJxwbTlgzRFskFq0YgJXxqUdCREzh94iJmpiygIjrKZMjod2UKGv7/vDnpLipnW3oJrdgRHcZze7W5io0baXnySeVdcMeEe/yvs3+aZWbduHQ899BDnnXceNTU1XHLJJXzuc5/j6aefntDW7XZTVFQ09s9i+ccmoP8kO8WbebHtRR45+ggHhg5MUAp+N8vLy2Xt7GlcMbuBBb06nyJkthIwWxHRmNrTjjvox5hIcNXrL2CPJ5nW2cEq30aG7W7ikoxJSdHr0ji+59PEDCkQBE7UrKO/aJzugDREuX8qeZEyivvepnBE9yIYUmHEdAZHVdJIkRjCIaeYZh6lYXAZAEsHlmJSTWiiRFPzYgyRKkqjIfJHdElfZywP+2lhHUG0kqdIWJQIx/3VOBufzfrd2dWOBgyWVHHuVj1DwIzEgLN5rM2eslcxSgkU2U9ZTzfG9AQsKwrGZAhB/fuqlQmjj6itG0XOuKltSTeueD4X9S+iXfGwWzlzRhRAoTIxU8Hg2seQuZ+/5r5GSNVw++HVSDZA2JGK4VMEWmpspNIck5hJpHPGDuK2yc9d0zQCambiKDOICCYP/ZZZmNaP0CzqXJphUeSwUwe5FQMGitMp9busRgqcQ0SNCm3pujdielVuVVVu8AWYkkwyhDv7evKSKG6N+NS0MJoq4/RNoTSqURTLnM9Z4d9RMjTAjNZmbnj8z0hKivXbsgUVZ5xsZjKbzmGMzSIhg5lUWgTQPJJCiECPdfKFznHDFE5WZSbb9wU2UGAdpkLrZ1XRNspEPfW5N6EP3C92nMe17sz5Gly7MXq2MyoEORKTuHv/R4mkgdmUKVupqW1jqS3bWwagSClsRccwOvT+bZLAvPQEaFVVvulrB2CP2URYEIgIAj/NzZnQT5b1rGVAlOi363yhSEXmvdrtnk9jzhBR1UVSMxIx5p+pFzaZkzw0uJ6Tllx+H5tcrC5mljhZmeGMWVpcxH05yGKKEVuGHyGI4KrL5vkYHcqYB6Z4gZ+CWZNnQJ4ya2EGGOQ0hKk36WDYoKlcOvQmFiXGVQOvUBXr5bMdfzhTNxPss1O+RAqJwuE4UgJiSQuONA9ranMQc0JFAK7gZUQ1iXu0kxxCXNr/PCeUPOS4GW0kxmwpW4TxdCADOiBJRiWcZafdC0lFEjS8hx0kQzLtr2cXhEypIu5qfaHSkePiaLKcZlXXp1IV8Hda2KtmPCTvlOlexLumraFTzWFvby0hJKab36A3OQu/Nr5CucZA2E6w1073OxMVlhf3GzAnrIiqSH7MSv7wQgpCPuSki59LD4Ag8Hh9ZnGYEw8xo+0EoqYR9xowuVJjz65o5Mz1/f7Z9n+KM+P3+/F4Jiq83nrrrXzsYx+jurqaG2+8kZtuuglRPDMOi8fjxOPxsb8DgcAZ2/5fsYVFC3ng4APs6MsQB497/9/EmabMaGRLWF9N97rzcPZ3sqLtMEv+uJWy7u6xSann0wIfd93N9amHeNz1CSq9A1y+bzMJMyTMEA3NZ2hR9uSwb/4MFm7/KT1lpRydUUBFt76C/NKqz5FrEpmf0MM1oBGz6qBqZriYGW2XkT84wkjaGy20zufTioX2aIDR5BxEIGEawZTOLNmee4xCfwPVKQnRoIeaWqR6vt+1huusXTgiup7BxgXLmCPto7+4iIHCQtA08k+eIFCczl6QInitvVgGl6CJ0F1ayp8vvYxr/6br9GjAaO4xbKPFGMZh+3KDgNfaSTgtvvX7s5bwQ8MtuIQ/0vbKt0iGsoWlhjUz9SndozQgqTxqj+MWopxtOMH26ByuDZkoT4kImkZuzM+wxQ2A1dKCAvgNAULONmbO+xEbBidmabXERRbICpuW57Jw7yi75uUAGu3L7mT0xBqWtK8HMhNXQIWkBkkxTtOqL7C27TbwTaFkzuc4evhV9kkpZsRf5Otpr7QnoPG+XT2owJsLJEIWgVvnmYBuQEDWNM4NR3jFbmNKTOQrtbfw14LLSBhMmPr83B57nM92/Qn56jADtcLYMqlk/6exp1OTO8vu4sPd16EBVw6ewx++cTsCOkh69TPXwUVhen8p4f6zhHWnhCWR+YbHWz1NdHeX8bmLPsvZwR381xtPk/drA5qo0XJOA4yjAE0JNtPkaOCd3OVjHpurmzbwBctfcG+KIAqgaDAj1Ua3mD3Q/2bbj5DtR7CUPzpWPBWgIy7SbT7I13os3F4Yo8yoYbDGWSKKbAtPHFLb4iLTxnEtPpqT4re7+sfetu+qZYREkSVV767RUdlvZeW+fEStCW3pEZpctRSFqkkYx2UpatAl3cFDQ9mT5YiokqvqR+yQFZ6wJbLy54ai2e2TwwYMefqE31ZhQROgtj3CotRhFnKE1jIrBV3Z4K14vpdkIJfIoA5yTM6J4A4Y45eNtz7ycRf4OOWPshVkA4UpkQ5a3lmPmE4+/2L77zhpKeO5Aj0UPjtwnANOXWPpzpP3UxXp4WON3wFgp2sWX6u7lR+0/IpXhz/Io8WX8ELrJ1kTasoq6JvHKF/mXgz1+jF2zjzG1r0jJI9FOc/qw+ie/Ho29NfS4Byg3BrC0xDB0xCZtB1Aw2UDRAaNdLyZh6qAmHZCi6qGoyxG6wo7PUEnC+KHsUaiYIfYiBFrbnIs7AuwzTwTDWj2VHDzuV/UNybg7uTden9yKZMFcsN9+scxt7SLajHM011TEUYL+dDumxHFJKJmIuA6DvIgxoSLvtBt3IEGJZczPLSbPF+2l/bUs/bUh7i/6hKu/PhEQdd/lf2fyWZqbW3lrrvu4pZbsqu1fuc73+GJJ57gjTfe4JprruGOO+7g+9///rv29YMf/ACXyzX2r7z83yfk84/a7PyJdTAmy276R+xTU0sRfPpgIAxmUv62L1/GEU81b5XN5a3SOWyzz+L4SD1O41QKelon9JOy75m0/11LFtFXUkzKaKCzvIKOygpCHom4MeOOdgQaMEULENOEXEk1YPBXYIoWYIoW4E4Xc6yyzEJMOtDQCDlbiJtGCNvbqTUMMWJIn7ullqliPxYSrDC2Ebd3kTD6CDpaQID98+bSX1yMJoogCISNMp7RQ2haD8cLNlEzupK23DT4EEVEk0TIrHv3fDlukiYjR1yd9EsqHYYwLgnyrWF6TF0kTSNsazARssj8XPoSoqhiyc1eoQGsjSssT5OaDTJMEUSulr04pDil9i4SaFg0gWIVvnHklMctRZGiUj+0AHPSxnDFm7TEJ/8kW+KZ0JsOZNImaOQ0vInRmOFRIO5ki1n/u8/ZyjsxOJqbeZem+ReSSpp53JMJP1QO6rlXMlA0SXalOQE3+gNMi8EKXz22VgtTRztAEBBzjTyVexlRZTY+twFjpIScgSLEhA37cOa9fjA4EwVdC+WvuecQW2kZA9aSqtJX7uTYwRn4LlGJ16qMfjjFHdr3qdFOsFrTRf5maAeZxX4ezz0PRZN43b6M1ysWsKF8Hodzaumz6ZNyiepl6cghpoQnenfmDJ3AXpRAEnTeo6JKFEUmX1GmIrUTtjXHJUTnYRQE9kVkjkZFkhq8GJjoeQPYMpitAJ0yQ5+Yz+NcwousYV5sctCWG1zMB2P6+2BICiw8moOsgYjAuj7oceqeSEeqmnXBjbgVgXkJibiSN6GvXlOQZ61xeiWV1yxJNEFBdh5Edu1Cdu2hX0nwVtcyuoK69+rEG+W8s3MBkaSFiCbwgtXKbrNJB59oFHhjuLTs8xYEKF7oGyszcKqS9ekmCPBKaiFvqgsAdIIul9DsKsdZGSGnLozBNnEqllDHwIcAfLP1Xhb6D3H3se+y0pcZq84a3c1a7zamBTMA9KHSyzlor+eZgnNJiTLPFaxBBE7DVBjEDOisbk1SZYvR6OznrIKJ3/wpG02YyTVHswpsnrJ4YCLPxlqQQDYrdL6l8wk1FURZ/w56oy4ENOIRmfhmieiIgZFjdtQCiTpxiN+l1rPRMJ+9geoJ5w7wNeN1zLM9hSiXIcpVZzznemmUttRlgAxaFCHVgRZrJRU/SkrTvwVD2ksuIuCSh2gryI6IHM+pYJ+tnhfiC3jNvIBHzefx5qEzp4j/s03QNE37+83+cfvmN7/Jt771rXdts2vXLhYsWDD2d29vL6tWrWLVqlX89re/fZc94Wc/+xnf/va38fsnCYynbTLPTHl5OX6/H6dzYqrq/xWb9cgstNP0RjZcuYEC6+Rqlu9mVV/SsyXKYkOc624f2/5wbAGnf8JfXT3M6J9fIFIzgzOZ06ASSL479hVUmbx0SOmUpeQwo3l7sI42YotP9LqdsqQcxJeXraApJxzkeOeiCklGCrZNHHnOYPZQjKVb38bj9fLC8gK2TF/PYPlMzjuamdCXvbOF8u5umqY08GDjxRxRdKl/QYO7YlZijpMclruoVgr44tmZa5qqHeHWljcZ2PvBMx5/sU2iyCByROpim0GfTMPDy6hKyRyxBKl3NHFlYil7pC66R3SQ1W9vo2PKXUScCZpiEpe5E6xypOj6k4GfnWUgL6lyZ82Z1ZydvcsoPnwTktDL3bl3Eh/5FNWjs9he8Rz7SzcA8KcTP8CTcuEVQjxt2sH2gu30pMNUM7wz+EiijeqHAvxxtchzS7Of9cojCncZR+lL6bouj5jeIi4rPLDifTQOt/Clwyamxt0MTL+XwqM63ydH/hWjqdsASKHwQbGHHtWd1e9jL30dV0Jfyf5qzhW8UrWEq9UXWXv+qxNW76dMGoE73/ka3ZbJQygNo53cMPgmcUcuvYl+flP18azfn3rri1RfPIAnqU+2x4P5vDDUyN0lertzTU28Ec8APce0L53xvp+yFfYkJ8JmBiaRiHfEcrm1JEahLcODOXJ4DV5vGbNsewlKeyeEluJDa7nAGeXiutc49HA9Sjzb49Po6mNxcRd/GPwjkvb3Heybah5jV2gZ97b+BuONg9x5bBkh+/6sNpGOj6NEavlYx0N0Wcp4tWAti/P3QNljHI3pk/Jv+gdZFp34HiY1AwYhEx6Njhiw5CZRUxAeMI1xQ8bbg3yAHjIezlNj0x73DeTGzvyuT2YbcxbygVk/xZkMcmzrJUioHPPns+aSJydtPydwjFf23TLpb/+IdXa6qajwARlP07DmJE/IjgI0v1RA/frBCe9yzzY3gQ4r7powqbhI+cpRIkEDL3inktJE6vb5cMQz93PjBasZdGY8h8cNRWwPTlykG0jRbPoIggD39T+OoknEfb+c0G5VuZsdoRtIBJ9CTXVM+D1YP4+84ZUIaf5ilWETySOvk/pQnBk/1r/X69d+mQFbLvXuFmyGCPuHZtFo9vPCNyeWj/mfWCAQwOVy/d35+3/dM3Prrbdy7Nixd/3X2JgpbNbb28uaNWtYunQpDzzwwN/tf8mSJQQCAQYGBs7YxmQy4XQ6s/79J9hjFz1GfU49V0+5mvoc3XNx46s3Ek5Onk74bvbELXpqb7c5n2B/ZoBdaTiJfNpTf+lkDWL8zKJNVqODy69dRGPDuw8wmpgi4GzK2ianbKjB6ncFMgBJk2/CtpQhhCqkEDUDDv8U+Adhd9JqZ++8eTQ1NPDyvBSyvIeTeSWc9GQGg4OzZnGiro5j06YxM6aRl75FmgC/NsSYkapkWqqUBalafvbnp0FRkVoCtI5U8qdQHTs8vahojJonvoc56cVYiZqZoGwmPb1zRtRB7mgdG0OxMSADUBSq5qAs0JSeNOrT6baNe3UX9LBBxDcqsDcicf+QiSNRkTe6JR4aNjKSEggU7cBgfZoc+W6ez7NQEtDJkL3p1TvAXysf5q+5r+DQzBg0iSGzPrl6Yh7q/fVIc3yMXpvk7MYKlvpnY02ZsSU15qQULitT6Yl8b6yvdYk5GFIiF7dtoMR+kpqE/o3ltGWKZJ4CMgDPGvYwqE4kX35l+c3EJN2j8UqVnjL9V/FCfr335jEvgaZmXthQzMaed1bRbT0zF2TWUCuzjx1GGmqmdNYAHw6fNqHVJTgy006/ZmXQY6Rltg2bM8iHws/xwfBzlPdljxfhtk/iFgycZU+SL0+e6fZOyDApkAEImbz87eDFdPVMYWRY10pxuQaIaTK1chsLJ5m450tRVtp04rujYiLX5LC/mMdaZjNonzgRnW5tOYc4XrADW9W9GBuGaImJE4AM6No3AErMSa9BP8/9QzPGgAzAzUUFfDk/l5HTwvzjgQyAKUf/OzpspG9HDiPeHNooo3sceJmODvRL6Ccv1T4mHNl3mrrvP2KrRndzR/tD/LrpB0jpUFRXxEXd5sm9ywcdDQQkPeQSwkIfZ36f/lp4Pq95sqUSQtstvBqaRX/UPgZUxgMZTYP+fU6UgEzMJ6NpoCQyiEau0Aica2d0gYucKfr4HhswUG7y0TDkzQIyBbMD5DmzF+9Tk/2UCV4Wj+5k/cAruJK6OzWJzG5Fjx2/P/cLGHLfoSHficM6Bc05D9VgJFpaw7aY/p0Kp+kNnTJPZBDJlPGydAX8uEIxhrtCvL20jkdmnsd8QdcFOumvYnrucWblHaYu598X7PlfP3JeXh5Tp059139ms84J6OnpYfXq1cybN4+HHnroXXkwp2zfvn2YzWbcbvf/9qn/22167nSevuRp7lxyJ8uKdW9Ae6CdH+784X+7r4VVHr56gU6sfcq9hC5F577USl4+Myvb9ekNp5i6dCViRB80d1VOzfr9w5++harqi3AGS5AD2bWSTre4dQDRlQ2MCsN/P8xXVLeZ2bNfyd4oaKQM+gBhjhVijhZNsmfGjIM9iJpAXEwxkpfLjgXTGbIFGDYPUZeK8drMzIAUcjrYu2A+cbOZsnAN1wUzPJVmWeVZYHlqKi7NSlxbSOVWL4bWINIeP/sGZ7FZzWG7KYWsTgwtDKRD627Nhph2PcumTJXaYNJNIDXR/VwYrAJ0DkmRQUPuEbBFBWp06hFHXzfyhxETx2MSDw6beUEzcSAqc/+QCUSFSNlfCBoP44mUYFKsJKQYQ/ZMqv9zxiYeLniOJ3NfxyCrJKQEkiqxqm8VVlMM2ZAiukJjSvdX+HrvzTx14uf83F3J9dVxCo2XIRrrM+equZmXqqa0M8gH+w9g1PRv1xidSDC8kwhvqk6SyNgTEa5szmQJnXSV8rsZFzFizgYQB0dm8K1tXyDUm0tstHJs+93m2/nZipveFdjOHtbDC/Pb+iibO8glyhaW9OmVji9v2US0SiBhFzmyysqhRieWshANl7eTM9iDZ7CH0uGtWf2psQo+n5/k8pwkU1PvnrZvTVqpDOkTxLlBlfJkEk3QcMudtLcuYmioCgCXu59+1UFZcpApiYl1ra6duplYn85HcJRmOBixooxsQThlIqFOVAsGeLv6ibH/vzrld2iCiiBFeahe5u6hyZWzJaOuhjtsKKLHrAPJpHliDaIX7Da+WDAxlDXeTg3l4UETSkJk08CHeYQr2UamLEtRmiFzE3/hVvkZrpE2AvBiavGE/k7Zo7blkx8Pjc93PMy6kS0kVBFVg86wm6mdRzivbdOE9qogscOlF3R9k2VEyNyTEJlwSrO1ktumfoWPz/gWYVFvExk28HbRbG6Wv4hmnugVi2oGBAGSQf234JCZZFii+eliujbrQK2w1M/ivGami53Y0/ygyICJor4IttYMKDY6kuROC1HFRMmOC0LvsMi3h7pIG58YfJRGQQ+FPaDp4pleg0ilcS8X573ITZW/JekpIFw3i5TTQ9yoc18EYfJ3IZXo5jez7x77O5jo55mlKvdUGRm+pInKokPUDBzDlgqhaDJF1kFum/cAn1r2348i/G/Zv40A3Nvby+rVq6moqOCnP/0pQ0MZF2xROnvm+eefp7+/n6VLl2KxWNi4cSNf/epXuemmmzCZ/n1Kg/8KW1C0gEeOPgLACydf4DvLv/Pf7uPGFdWcGAzy+O5ufJqF8jQDskgMMJ4l2TESofGzH+dPv/gzpoifOXEfT85bTeVIP905BSyMJbnQAX9oTjFsmcMSJg6grsI2ckeCnLQaOZLfTv2+1chyxYR2W01JLEqcaqMPo6BiDVeApjL9uV0oU2NorreQ5wfp6Z7GwEAdKTmCMV0Px5BwE7P2s8OfR8Ti4qre7eQONDNaUITPJGLwj+DMyWXYoH+gOSNDOPI1vBYv33coPNbeRwgB+/iZcCAHAQEBmJIQaTLqk9XTSoLSoEKnFmSjy8ZAZKKb/ETeMEt7ini9/mHc0UIaRubiihbhU8NU4EBAQEJk1OBlY8Xf+PjOuRP6GG8lgXp6XS1IKfA8JGE6oc8Idf0uWkoCPL50cp2LoZRIVIU7RA8nKiRm9eqgo8/RiiVlJsdso0fJfF/Ped7CJ+uDWZVRY0rDNpSUCKpI2b7bs/rOPXkJWvs6bCONnG6zlSpSgsqMpnPe9br2oeBX9MmxMdDKx/ufo8NZxM4ivQ7YCzXLGbROXI1riNx2+BtcXP0ya+zD/PDtOxlULUg5+rkrJRZUt4lafxOdPRkQNd3bPvZ/Y6uAqVngjoHH2FbUyOrufcRDZgyxCPZXJcRkOjtsuorJHqeuNYAmDvGzSA8bFq8iP6+b0tImooFctirr6AmFwP4OZzKTKnK5M8XmgflcEO7BldtCl8FAytHEzdKL7JD1UiQOh5ePrPoVo10iuR3wgdEpiEXdSKJKvtOL1agx6C8EvDirIpSt9+LzFqEqMvRnjlcwMMTp2cYb6h7lRP5uAqZhwkZ/msOi24FkNvhOjC6i2NjHiK0LydwNQpznazKAQTpVJf4022Ex87n8XMpHZ3KuuIW7ctx8wTtKTTKtqKuJyILKUbmCnlnn4stZDWzmCA3k4WUN26mlk2/yi7E+P6a+xNXb3uBXM67kj+Vn8aG4noYckg0YhBSmpMbZyuFJz6dHzSVHC2KVEnSGXezzliJWx1hX+g7ndf6Z2+wCL+frUgDTwyc4aqvnwZwr6PRWMIqLi9gw1pedKMMGF59r+DzxdMmEuGhit6uRlYN7aDpQwq8WXQUI3Je6hG8bsjOrRFGBU6nWvWb6o1aa1FzySJJUzqxVExk0ElVNGMfVEKtYo4PJ2ngzRv8UpHgExWxDioayvOnhhIGzRzdz2F2NnGaO7NemMl/I6DZdbPoDz/dNQzVaSNjysESgwfgCR6MZ8KaJEoKqoA1BTa+JXQX3Mbs1lyHXMBvn6SDreFLi2vO7aX6qmrJYD032Kfx8760AXGTZwd0Lzz7jNf4z7d/mE3rttddoaWnhzTffpKysjOLi4rF/p8xgMHDvvfeydOlSZs2axa9+9Su+/e1v87Of/ezfddr/MltQmOEUKapC9O/U7pjMRFHg25c2Uug0MWrJpKX29/dz65psTYb7t3SzTajmLXEOzm2buSDYx56qqQy4PGwZDXGirYd3DFPoVt2kNJEhxYq5V18JGAe7qXXvxrH4AE/lHmGTfQ+7xlXSPmWbzUm2WFIsaXoGRyyfuGkEDRVTbBRrWxLHyxLTHhsgp9tPbd1OjMYIiiszmMpJO8bhPlb2baRD9TA6kqDHaSISG8U12IcABHyZleSUk4N8cKOKJmiY8qJcUVKIHY2YJo2dtyOUmRlWjaslFRI0Asj8NsdCq2Hy1XgkIRObtRNJldlT/grH83ROjrT4XlRRBz8rk9PYUrQFRUrRlL9zQh8h0zCF8/XBsMSvP5NPvahi3S0h+dNeHePf1234k9fIibSw21iIyXWCtXYLB4qzZc5PARmAqbYYRUUnsTv82IZnYRuZmdXW5p2OfXgOwhl4GfNTNZNuP2X7SOEfBx7rpjRT2BDk8wf+nNXuFLCZzJ5vW89v9l3PoKoPutKovpJV3EaUchtDMyr58tKfIwoKZXl9JC/NhGXN+0XkHgF7Msbart1oooa9PYHzBXkMyACYj4rM6RqkciRA1VCAocYiCoQEM0sOUutux+cvYpO8mp1TrkUVbTgVJ2f1V0041+lHGyhzdVEVqqJXK2dBml8SkvsoDgU5J5CZjDVRoKPSis8hU1IxzMKCIebljVCe1mJxWRQ0FQymJHkVA9TNOUBj45sUzM54+YRkP4qUud5uVxMn8ncD0JVzHK+tjzvFAIYzUCMFKUJ756fw+AUQVSRrdthKtuqJAUvbL6UgmL04edVu47flJ7mxqJgtVgt3jPPWyIJKUhXZJ7jpqtDHninJQUBgE6crMOtWnhjENJDky9sfZXNw7ljRSElKcmyKLntQGpvIlUxoEq+3zuOoqHufC8wRItUqlWv6ya0bxqrF+U7PT3Bofgq0fm7p1Hlfx1x1dFFKFMuEifC71bfwSt5KNnoyXqIt7rkMH7exY+5iIukFU4UwxOlm0vTxwpL2uEhtEtbB9HuQP7msiJoCJS5hTGaATHlaiwYg1xQlx9eBHPJjGu5FDgcQU9kePW00gi0VYomoA5g2yskn40lvFJuojp/EPNhNUh6h0rQD/+kitWrGK7T8UC7m4RRqqpu+3EwotCUuYbAqlK/qozSaTZxPqWfO5Ppn27/NM3P99ddz/fXXv2ubdevWZYnl/f+T2Y12Nl61kXVPrSOuxDkwdIAlxZMPAu9mZoPEi59ZCYASXsx9992H1+vl04sKuWxeKY/v6uI3m0/y2K5MfPS+4g9y3SuPsaKxh3cWncsLR4/jf30jOJYR0kw8HW+kzGPji1efz2M/+g5iIkYyZODkODXIwxXNLOxPIGsZtdEuWUXUNIK1H8KoCjh909FQkJTsDyr3tyJ9P1GYO08nMSu9m+jY+TVkxYqLq1FsnZw79CZbK6ZwzrDORTEnFaImkMLBsQzlgsFBGvwaPbkqe6Qnuezug7gXfYR8YzF3Gx+kdkRAEBOoqT4Swb9gAj6Yupw/5RYSFeHXrnfnCIWSdvJLX6S+u4JmoNfVQm/kAPcnOmDK7fy4/XYao3VEZR2Ibq5+nIPFb2X1cVtlD+aUvrQuCdbxmW3fJmT4K5DJTnphyWwYR5uQFDi1wJvhncmilmvZUP8o5BzlvKYbqBrVAcm66iMUF3QxzEtsOcM11JlUTIEK5u39HMI/sLbZNO1eek828oH4WRN+20KS5RjoQeWThCmWEpw8TVunvqEZw4hGYa6ZTdHPsMry66zfr295igVdHXx21WdIiZnhqSlQz+n2wQMR4oN9HK9X+aXjK2grDMQMCmFRRQwqOF6TsG4TETQBTdDwWyy4I2d+prl9mfdw1Qs78bmbsG71MXwHTMvZT5/rdpYdOshNTyXZddEccmd0sNIYxSVpDKYEwqOlvBWfSX7sTQJWH/ePnsOTol4n66jJyJUlRTzW248hoZA0ZlbordJMyt0Ts0BylmSHFn536IO0BUpwVd2HZDbwxQ4jc+wbeb0szA8NIWTVQFzKTCZrLEaWu/3kyTLfUKLc2Ws9/RDI1pOASu5wDl6XF8naihLWORfFoQGCVn3BsnzfEaaWfoLZ+T/m++VDDMqZZxNOX0qL0ci8sims9gn8PHScnogTFZE3BAst7ig3ahK38hB2IsQ0I2Yh+7s3OhTqLh6g9cUCvig9NsZFscShrjVEppBGtilIXFW3mXcKpvB2jcL8Az5qZ/SjJWDldi8IkLSn+CH/RZ43xhSf/j0OOXK4f9X7ALiH9/P59t9zR8cj3FN2DY8VXzDhOFtdc7iq8xnKGwf5NQ9yibBx7LfH1HVcIbyKPM4LNpSTR8JowBhLYtmXzkprPIPWzmkE4dLlXuxFcX7bsoBLyo5RYA7ziYYd/K5lAb7kmXXWymK9LLEeoYdCPin8CRfZx7u07CgqAn+I5yFKLrwJM5+o30ZClTkeyGdLOgx6ympCEorJwKyTAnNa3MRzi9g1dQRKD2IrilIWz9a5Wr/yvDOe2z/b/s+kZr9nEy3PksfaSr0a7s6+nXQFulDUyUmG79qP3USe3URhYeGY56uro50cKcGS2txJ99ngWcHMo/oKb9CVR7MxEwuNYOJH1yyibFojBQUFCEDfrnxaYpnXSRFTBMbF2xU0Img0JmSM6S83JaiIGIjYCombMoJzQlgi914JozGG0Rij7NleNC0z8EmGCqZHBpk1bpVrQEbWXEjROKZggIKBAVzpjLcPb1TZ2bkFJWmgztqIS85luqDzgjTVSyKYURP1BJ6mLI3JEqcNMIIGBg0uCarUpTPEmkbrmFmqExkH7Z08X//QWPvvV9xLhzFDwFWkJCO2nrF/l8oeqvpXY7BnKvcmcGExFbBzbQlhs4UffuQWfI4cVh3SJw9LTOLSt0uwRSWmtjuY27Mck2Jl2sAyCoKV1HgzqdBFefoq+0r+wnTfEmQ1e+3iTHioTeVQePR65KQTKZmJV7QtvZPTLZJzDGfJYVTrMJ2lb2f9dpAUDxDHj8qzJBhB47BiIAKYpHS5BGc7JfZ+ThSVsDtvDpU5w3xGylZVdSuDVEd6+MLcbJAzmVX4B5nWZuaswe1E4xZcUhzBD4lmI5El+nciKPpDFDThXYHMZOb2+TF2CphOCCRzk6yLv861R5+iNBqm8vAADbZm8g0aRhHKjBr1uYP051Qw0N7I0aGFeBU3rnHk5eMmIxusFqa0ZhP6R9MEX1WD/qRAf1JgNJV5+YIKRFXYPTiHEEF6VJXO3BbaTHUIxgSO/FbW5XtRLV4caS9ijqRyQa6PvHTKr12CC5wTU6UFOYJoGkRJp6CXsnvstxtP/g5BiqMpZtz9AYqGu8gPOlgfPvPqO2mI8nq+XtOnP+pgyJhLi5SHYBjhSXUpIdXEhuQS/hD44qT7G2wKlrwEbYnirO32qEpKztyTpJDhWFmEBFYhzrnDB0mYRAYKTFj9IsW9mdBwj8tBfsKLKxDDo07kAQH8pOoGNOA7tZ+Y9PfdrkYGqgu5UHgrC8gAeMRQFpABaBMqxgpwCoqAJmkEGjNtTpaYOWg0omm63owhLbooGVUcZTGGceJPWugKZ7S+luVne85Uo4lIWcbLPjdxGDdRShkYAzIpLfMOWuQUNjnJFaYNDBgHaXCOYJVTuI0xluR1jZGwT5kUjyHFI4hpAU7TSD+zR2bxt75cwkh4bKOUJnTvdoEQJM/QPum9+1fYe2Dm/7gtKtKVHh889CAXPHMBDx568H/UX3W1Lsf/7LPP8utf/xpnbPKssG5LGfstM8kb0V/UjlJ9sPvhWW7af3ghcytyECWJ63+ml7qP+00cOY1YODxOnVZC4OMhM+dHM56al6c+wI6K50EQ2TPvmqx9uxKFlHzSSMknjZiaRaTTVgCiXE5+IuNu95kE5neGMFrPYc72LazZ+FbWYscou3GuzWTj1CWq0KTJFXtLw5PXgVkUl7ltNEXl8EOUGfWVdJO3niLnKFLCjSaoWdWzfWKct6p/DMCMdpVfGTKTwOXuBCt6LyL/xFXUvvYQlnGVq3MKaym7rJ3tPy/l1aWrKB9JcdW2eh7/QYqr3yzDGTFw5cYylhzNxRrSwzzVozO5/PB/jfUhSAmEcX3Oi9m5tONS5OC0sW1/bf0u9Vt+hiWQHSo6ueJzJBzdpIzZLv24owurFGHBwueITP8dYU8GTH6SCDUVGzi44gv8hcykaZLi/HrNl/jdeZ/hziU/RxQ0jrlK+f00nZfxX4anqDJnwJxi0Bi5XqG2sJ3fnfcZbp6VAYcA5pQ+QRVFhkgEHyMV82Lb1MIdf/sRO3dcw32vfZeqX0Pht7PrD53J9lyziGevvOhd2xhb9GHySttDuD9wgoGfJKkWJ3JJenfcwNXePFpPfp6Lg8XcGDSjGjWmxDP3447CfI5Fs3kTglvPRNkUkvlhv4Uf9lv4Vp+FjrhIQIHv9Vm4Z9DMZ2f+hqmOTKhyn0Xk+pJC7oxYmW9N8f3SKF8v8/PL8gjfKIlhGPcBhBV4KTD5PTHbj9Oj6WFtrydEVUD3xuxo0MGtEqnmUF49cw/8GsOLJ5kWnFw/Zry1GAx48pM8VnoVsuMg9rqfEM3byerEL3gkfCvJ6Dzu6X+GbZ3v59hjJYQHMudmLYizWphYnyxqzty335ZewvTY77N+FzVA0zhZZWO0BEZUnWunAil7irO2e5nTOYwxBTODk6tLv+E5QwgsqnuA3/+Je2k3T6zxlItvwrZ2yvGXZ7xhgQp4/PjlY2Tjmt4YsxKJMQ+UNR2WshbEEQTooYTgtAWkZmeu22XIBuSKyYricBMp1wFNvn+A9kC20Ok2fy0Pn5yXtS1fDjBHO06hOdtzk3+GQpzjTYyF8Zy4gB07L8VXvIS1zi6uN+/iAtNx3nrnjb+7/z/L3gMz/8dtQdGCrL/v2X/P/6i/qqqqrL9fffF5vrhO91JctaCM6pwMsXqfew4VvfqgHS7IQSkys3jRRG7D+77wdTzzpuO36qvhORZ9hTH74kIM9snBUqtnPwOOtjHhr4ClnnjZOG5F83BW+1mH/4CgZD480XAqpdCAaJhKwmAiqfUgqSK54Rh7pszgt5d+jN483aN0UUsZUVWjN6GiaRqN4myM0kSCMkBpNDu9fIFvDzXRYRbFZZREC5CgT9D33TM4h3teuZ7YJOJqAH9NEwhndGq4n5e5Wkwwx5JioRn2xu30o3KfFsNUkAFQQ6FGwoP1TOE4Z2uvcd7AQZrrryZmymFJSwbUyZYViExOhK+p+hnSW5mB1OXWn4OxdTW1vny+3nVmpc6kVb/33fN+Rtx6hCO+rfREWhiu+dtYG0GA/hkP4Xc38U2THg6Z6jlBvmWYRVIGnNgMYeS0EJnhpD5qu4rb6DV5+HPRubxZWkdD3XFKxX4+bPkLtpIIybkZjtK8goMs0PQU0P/a+xg/fOd+5gw2862tD2GLx6mT7meRq53rcrfS7ndj3/L3B+PcaUFshTHK1ozQRQlxyUbHSn0FHV6uEHZkh8Ycr0jIvdluuvj12ZOAmjIS6pmftc2mCexQ38d3/NkZgJ/Oz2d/h4Z1IJtU/jdfNth4PSBzPCYR0wS6kyJJRxvHczKq4AcKdtNsNBLVBO4fNLE7LKGeRo2RFH3D8dhE4qmcFrR0uQ8xbKjEFjKjigLdxfqEeazs1HPQ2FmZkVaoe8nKhYEw1/sCVKRLg9THsw/89bxcfp/SvcpOqw7AZKf+HCtSmWnH2697hvt2use25TeGkM36sVOawGZFD5uaEgojOQb2NTqxew5Ql5cRxTtl9rCCPZTC7Uti8PgZdcp059vJCWUDsPuPfQt7auK78pOqj479/zOdf+Ss0d08u//TTAtnwOvjhedn7bOzuogaYWKKfDfFSPMznLz2ajjqPo5/kvpQg+RimKJhLYwzusjKCap4HT2Ua5cDBKy6V7XEGuT84ibOLTxBlc3L4iL921MsmYVZrpSt0tvvNzESnxhinGs5yUx39vhcWphgqnMQIZ3eLqAhCdnRADmi929WLZhMQWQ5jhgJIUbD2Ex/H+j+s+z/VDmD92yildnLKLQWMhDJvHTemBeP+d11W85kFRXZE3gqleKWVTV8YrU+GSsphdo7MynSuf39MBOUchtKuY2v9Y7yx7zszJPa+Ys4njMEb79Mjc3N9Z5eIEF1/ihtF9xFbLSC9te/lrXP61P0FfewrYuEGMOo2tj38SKmnOwh55GJr6UnNMiat79IT9EymqZ+EFHW070F6wqMprkko1vYW6VA7CXaC4v53Gf1MMmzq5bzwn99lOruKHuNCsMpjUU2CZsoIMgVkDgydgxRdKCqQYrGeauu6H2a4vgAgtiEyXUjo2ofFqCrrAYG9I98rzgPOaJhcOuaFqlQPZpFxSBlVJUboiqosLQ0xVLguLeON8UYT6nQLEq8mbTzydgGouZz0BDoeuvzFC98iBurf0P70JeImXP48ZpvsCJmwJDsQE0cRzYvnPQZ1xgepPJ3+iAXDEoEL1Zwu/rZ3zOfr215kroNIewXTFScBog6M+ccd3bSvuInlL4Gr7ZNY1o0gWncfJuyjHB05v288fa3ENBoyGlFEKDMNcSh4QKiIswt0CewnPtlEGH0phRGY4yvRr5J0gNano+zdr3F1edOLm5WcavEd9Cz+pqKPAwWWPnBVl2Pquw4zJijExAfPTmXwZiNC9TJs29OmaFSoWC2Phj3UEg8DQa3l57N6DfeoaCwjc7l1Sz5cfbKveC7BnrvTkxY/jU1LWNwoJYhycVkFObm7g8QXBTl/tAGbrFnCLIPizaO+0WuKVBBEIhNwjHvG64iqEng0CfK3w5nA9fhcWn3PSmJP3olwqoutgiwZNcofYUmOiqstMYmflON/SvZX7qBuKEfUFGEKuA4c+xbaQ8X4vfoIEx2HKdt0XESG0WMqoo6YuS6ezTqLhngDquPEa+dL5VdwInC7WN9HzYbaS0YQOhJYTafIImAZBpEkIIUBJvBsgIAx6ju3TtadDXbh6byofxPjfWhadBsKOEjoS/TLl2LOaGhiQpej5ES+rht3gP0HTdRPJgBhZ7RBPVt2WGwvStN1J/MBi610W5atmR4Mb+o+DA/qv4YBx36wu76jU/wFTHjBT9gbeC1PN2beMyuj5Xt5RZaq22Y4nFy2oKowD4amc9h4hjQ1CiHA6uoMr6OKZFgX4VAUkpyghqKyV6sHWQq77gXcdGaN3iBc7N+m9Hup7vIhCmsYhJUGt36YmG2p5+2CgudndW0SRVo6OCj1JrtUe2NOgGBkYSFXOPkiSS/KP8wt3c9ytnWI2CFfFOYt4eq0BBQNAnQSOYVYBge0nmJuXoYsKSkmY7W6dg6dJC97PLJQ3T/CnvPM/N/3ARBwG1yZ23b3b978saT2Kvtr/K+Z9/HU81PkVAS3Hcku7avqqq8+dab3HPPPdx9990cOnyIO2oHKRD0Ab9h6hLQNKqGe5nT2cwbw35SqRQvv/wyDzzwAH19uvv1VOmF+fmZbJi29rsAMOd0MveiMIuuK2Fn+Ys8NfOnrLHMZGlY5mMFEfqd+gTUcWw+vrxsTZqgBb5ztcjBaivPrrmCWF0ZmqYhiDYktZCoWU8ZlgxVY/ucLMxhzZYXMccihC1mRh1OcvoGGUmmxbQSKm8FU4jGqTitKyg0V3JeyfWcVaiHuiRULup/idXDm2iyNaAhoKl+UrGdWOLHCVtsePOyNW+UcMYzo0RqUCPZeiuvrLiQk9dl0uG7gqUcVYw0p+PZSlTGHz0ybg8B27GrGD5yAbERve/KtAKzqgwimTL3WRMzg7er/C0c7kwowtisexTyCzq4YO5DOD7dSazKT3TXg4RM7WPtQs5OIqJCy8DE1e7AeTDtmhZyY40YQ9lchmafHqLKVwKIO10c3LMWZyRCcp6bJYFj3PTaS9ifkjliXMAB96Kx/dzWEfLzdO5C8cLsgf2U5X8/MwEfqaqhqbYIZ05mMBaBDW017PWWMBi344ideVUYWaAQOydJ9Xx9IvBj50F0pdJ8Ww91RfuQ0nw0V84gOy+chf+K7Fo8tlO3RgXHCxL535eRmnQvzmJfxlNjzmnP2q9v5w1UDhVzdihbv2m7xYLlTQNPdDn4Uk9m5VyQ0BHjiL2bDsfkonjyGYR2nvEZaUuXxPh15CIe8hXjb5rL8VHdQ+kJF7Pu+A0sbX8fC7suxKCYSAoKZ9c9yZp8XXJhxDaIVvkXOK2Q4pfWXsrrFQu4+ezPsaF8PuEBHVzlekLcuOEgt3TH+IzXN9Y+6jpOafIYQWvGq3Vj568wx3TALKgKOQE9XDtsd+BXst8tTYGAVb8Xl8a/zXZlBpaYijmW8RQ01dloK7fQXayHbk4HMgDnvD1CRc/kfCk1CYmgxOzBbN2cxgNNdG7y0N5dSLDHyHlPbOSsZr1u3jbXbFQEukdqSbXk4TySFvtLWtkw2MAWfz33ht9PQjSQStrZtmwpe5ZV8VKRSH4sn00sztLbAT0kBUwAMjfzRwDK+uNZpRZOWXVnlKt5jk/xCA11Iu8rO4pFShFXZbYny3m2azqpdPbm7wtW0FZu4blkw4R+mqPZ4nmL8rrxmDL3LN8UxuHU5wQpEtJrMAC9vVMRQ5lvUn4hO/T3r7T3wMx/gH14+oez/v5HazZFU1E+t+lztPpb+ea2b/L9Hd/n94d/T7Mze9X59qa3GRoaYnh4mGeffZaRng4uMOlI22sqwRROsu7ITpa0HaVsdIhXtmxjx44d9Pb28uCDD2ad0/KK9RPOIzd3DcsuupiFS6fin9HKsL2baxs/ztzjOUy3qNjd+vkI0Qba9txJQs5M+l+6XuJQjcjW+Vfj1NbQIa9CSAeZq8L5uDV9MhGkIk45Gg3xIAsObeO8zXpYZH/9DISoD3NMnzT7knrRCEEQqHEtYXXxNeSYCik0e5ji1L0d1dEOapQoh1yNDKQrD6eiur5IV4nOOzKUZj4fLeVGiRWhaQKpUAPKOF0WJVLBxs6zue/ADWPbdg/MJYqBU2kMqmhAJYVDzEygOaoLmi4/dQTK0ylMkqEehMw9EtJ1i0Q5SuHiPxFfA4pdH2CNHZmJxOaKkirVGPlsilTPLlprvkXMoU9gEkmsqsRMy/n0bZg42JntAsUHP0n11h9gCGeAWpNXj9Uv6D1GzZ+85O/XB7xzmrfyjTd/h/O4QuJAPq119XQU1RKNTnSxT2a/V25CTU+WCdnA7f/1De694nNMdw9hK84MskO9DjYO6GDPEzqzfEF4tYL3/Ropu34/HifDk7F4BiluOIwtR38/HI5htJlRwmerRBZkJs74n0tYvsOL+YCA4yUJQ7fIWa9so442bGktpKKFD1G19nssnfXlrOP/rf/HzO4/m5xINgj+hTGXLeNKAp7jTbKhpwVrcmJY4JTNsaSoNJ1ZvO9Xg2Z6eufw55p9PJeT5IFUEq9pBDSBS45+GpvRT32gFkmTKErzpUrztzNH0L+lYaOfhHVidlVLaYqfz7uGTmcRP51/Ld6RTGhj3swTfGzYy/X+bDn/fGt2Ht2IJ8D0nqNoagh7sB1ZUUhIIqPaZlKxPbTEMsKWkSEjw2a9rtUBrY6i5A/ZlDqPHF8ma1KRRU5W2+gr/H/THet6O5fWFwsp2R7CHNffKzmVYsbJE4T7zAwcczPa7CDWbeLut7+NLRXBZ3Cy1z6VzZFVbOtdj6lNH3d6Ax6kkSG2DpbjtxUjpbkxA0VFHK1pYF04Sn40HwWZV1nFL7hx7Dx6mSg2dymvUkwm9VucHL9iJkk+Xi4xbKLWoXvTuuNuDkTyaQ3pYbwXCtZxT/9H2Zg7hb3WOjYPVo3t/5y6khO9E8UuZ7kzadcVNh9r5f1IphSCpjKlTBe+jMdtuqcmbYP9/76q2e+Bmf8Au6T2Eu479z6+vvTrwN8HM7FUjOtevo5Ff1qUtf2pE3rmyGHPYbYVbOOo++hku4+ZmSTP7OshZzQT87/o0FZ2b8wITKmqSrevm85gJ6Igsqh0NQsXPDP2+xNcwzrvrdx6tANV07j7nLt5eN3DLJ62msiAlZbnKlB79BW6K61jsXvBFznWcC2PrT2XIbc++VR7s/VPAHoqMmmAgiAhyvrAJ1vPQ7acTcNJ/fp2NupaEe7RiaS/vHSGxFfL7yKQGCGm6Cu7txedy70fuZHY+aU8esNn2Dk7IyTWmQYzSasRQVNZNbyZCwZeZv1OJ0V968kNGFGiNUQ6biLWdznR7o8A0Oqv5vmT5/H6xnW0+LJJt37Zzt8KL6RYjmFLf5XDKQ2PNL60nm6i5EaUdJJfIvgkMW8rovwwqdjDDB/SeQrRRemYdyqb63HKUoVgKRbpnvcz2kp2YwlkPEurla8w5bWHmfLawxQfvAU0AYuvDjENHJM7VqCms3SOj+op0wu7da9SwaDu+bhgdybbKeTIAK+7ol+Y9HxOt0PSbI5U63131+TzBfm7mE0xBl355C3zkyjUR/Zy6yhzbj7GnJuPkR/XQwknCnPYXVVE03wXR2tz6LpOhDT/450lHmImkR4yXoDcfJ2HZDJFiMWsiKJKeYV+Pe3r8xnO04GKNRSh7ZEiPA9mc2qWbtjKYFx/nm63vgjw1w1RtvJX41qJRIemcNHRT3JBuBGDqj+X41XZ/IZEbz6v9tZjmkQhGsAlqVzjSYyVuzAIGh/ovIKvDmfzch6KZKqF9qQ9n2KsiIj7KAgQtncQNw9Skk55f9ZnZOuhtdgTjjPWQJNt2SG8nUoG9BrtCiZXCgPwm2cyIZ3OSt2zVN+jP6835onc/vEYh1z34Rx4ku1TBL7+IQmrx49Za+FN/60caF1B51sejhxfRCA6mzsX/5QH8k4gI2BQGwh5JwLioOMfY0z42yx0bMglFRXpDN9PZFgHjWrLGzS26uODElC47MLvs/59P+Xqld/g6+U3oCJgzU8wx68/3wfc15CDHzshCt369XaGXaiykXD9xBCuMZVDZOBqPOnijUOqFT9OHuAD3M11qMbs57eK7czh3cfndzNf1Eh4QE/h3uRZQZtNH7O+vf0LbIotZ/dIGc91T+XZ8HJ+mrqKTnUibaF8XLiq3OqnWhwhV6wCoPcNN/amvQiJOFKaQ2MvDVO7eO3/8zn/T+09MPMfYIIgsKJ0BWsr1iIg0OpvZTg6uWse9NDS3sG9Z/xdEzR6bb0MWM5c3wqgSNRf0vKOd0fbmw7rcuHTPdNxGB04nbMoLf0QYaw8K1wJwJMDoxwPxyhzlDGvcB6CIDBv/SWE+x185JYvkJBiGFR9dRUz59JXshzBqJOfZcWAQf37g5UolyFIBcimRmTzHETRgSER50C9XjQwx3ciq70mpHBIKkeN7ey1H+Oo6QTD8R5iRjPb563Ovsal61HSGu3dpbrXRfFBbbydWcEj1EbaKQnFWb//CKUx/X4pkRqSvkVoSmbwfbblIl6KrJj0/DutFexUNaanszaGUyq5ZxYMRdM0RKM+oUSGvCSCUQb2uYkHbXQtdhJP67S4H53YSfhiG5qsABpVvfMn/H7KnP1LMAUqsXozWVCOwHQCXg/emJvBSAECKjNH9AyY/MEh0DTyhjLvZ2BlgqDJgs9i46BnGsffmVwgb2hId7V3UsEghWxYqANIaYGP6RxhJW/hLS5hpNJA8Erdg+UcSq/SVcgN6yvrQYeVQZeN1lQewhVhpMUxksbMUPe76WvG/m8yhbHZfIBOak4ms1f4Ld0LOVGic8TskclTkhNDMi5/GzZxiKpm/dmrsoC9+DD2kv1ZbW1JF+tydzKnZfJMupJ+O4cDhazsrh7bVjC4grJgGTJws1vE9GAZsywKEhrTRDOunpU09J3LRaEMiBg2TRRzi0VqOX5K+VvQCDnaxgQWATbVPElebKJUQ6RTJ8VKljYY50V6vGEdUW82sIt5DeQcN3HBLh08JtICgFe8k+1J2trYTU5wkKeWi5ws0dhUbiYUGyahmjmUvJRwvxmzd5BATyPVzk4agjpYHDZ0sH9fKXJSxeVPMvOI7gnSBIHg3+ERxpV6Bg4XEhky0d1yJao3BOnQopCKc84u3Ysk9Wd7+N4qm0tLYSn7S2sx+vT2B1xTGCCffEZwG6KoGvREnUSLJ691BOBTSwERv2oipejvby9FDONBKm4hli7dYiXCWexAAIZyjZysOLOuzJnswGgxmiKCSeOgM1u9uy1ZTbephKZwEduMC+lV3aQQeTxdBiGZFt/MN4XJNYaxy3HKrH4kVALxDLlfUFXMfe1IiRigUXVuN/15/z35g/9Ne48A/B9kbrObhpwGmkabWPP4Gp5733NUu6ontDs6ko3oq5xVtAfaJ7R79OpH+f0v9RhnXWMdBc4Ctm7N1KUpEgO0qx6KEz6YZFLtd1goCkZ5bvdzkAM9ro8ye8thNiycirnsC9zUe1lW+62+ENPtmQ/zrA/dwOLLrsLqchMvOIyxT18t9zhPUBqoJz9SzlP5n+b157LViiHF+Fe3RVaoS0nIlsXIloxipyiX89nf62Ug1v3y91T39fHhHQqx9MVc/vkZ7H7qTzTtfQdXgYG29k2IKnRVZXMbTllPUSXPn3sNEas+IXzx+EtUijmc7u8pivWDa3KCLUDAkF2HyC2m8KXBWpclzNFgCsghqMK2SPYkoKkhBFEHR4IgoAlOZPNSUrFtACjxwxz/60w0xc/flp/LMm+MmL2H8HYLzoCf+e4dRBYFCc/RV11W79R0MQdQRtuRcqomnG/Vjm9m/V1ireVk/0q+1KuDgopQH7aUPoiZ43Gu/uvjY21fWXc+BZat5O3egUFN8bm9m2gpqiD6jI1EcQX5+e3U1O4hmTQxOlpCfn4XFXRSxUleWr6G4pJBzq7S6wxN5zBb3AuYqW4hUaahiRqyV8DQKZD/Q31STYkiAWsGkFg8mcE1Hreyc0emEKbF4mfuvJcQ0un0akLAbs94NAAkKYVW4yd5VMKQys7qSMoyhpQ+Kbn8rXjdQd5saaBmcabcR6r/94jKT1ElnfshmX1IwwJ5IxYgE5L5YmEUhypgvrYFNDjZMpOP7P4OKik+4LqTwGg5r4W/gaqEOKvydraqOXyrJMpA+3SSwPbQh8jrLaPe8ToniicPtynRCralKvmWdC99PgvbhyswWrMrHLc72yfsd2UqxKuKkZSUwDHtq2iagCBoNAensOvhOhYubcGSq4PK8KB+ndM7NF5K89PNCWidcwnwYla/o84YHYX6e9/p0aCskeX+AQLOKhTRgDEZwjyk0vXMXUyxOzhAjM/Gr2KZuJ2i9iFWDHQiqTBnVxibEseUyP5WkiIkVCsGOYKcAn/wPJSw7jVODHnxK3vG8op+sOBD7PE0YNrYB4mJIbwtZXNxhgzkoAPGjrxiXpi5lIsOwTe5nWXJrSRVmZR5oprwKauVdIDfrzqZx0HC47yD84t6kcvaUWMyFuJIe/RzCFsldhVXsLbklywNHOCPR/UK7sPkkEfmXQ1iw5E+tyci0xhN6B4nZ2lIr557mr1SuhZSAknFRCo9Hn4h/iHeLJjPC7NX88fDX2T16G6urd7P3carUWP7EAWFHNMQfdFM6vepzCaLM45sVkm8/RK878dnuAP/XHvPM/MfZvMLM6vo/3rrv4ilJiLhnf0ZAqjD6OD+tfcjpdG22+Sm1F7K91d8nwp3BaGyED6jj2OeYyxZtgTZLROSdTJjsakblxClRNIH3ZCcWfkdKq3heLHu8ciLFaOKNk6k8hlIpHh12M+nj0/05jzaO8I2X4hgelKQZBmry81QIklwqpuOfJmgWWBn1RG6KgIkRbKAjMkqI1u8lJ/1a3KnvgSAOSfGFltqwrGAsYwngLq2YxyvqqHcEcYqwmJXK2azxondmxFVlfN2F3OKX9dTMnma9e5ZK8aAjKBqrDYtoduv62FYxlW5rYp24k7oA01FpBNHMkBVpH3SPmu1KOt7MiGZY6LEsDY6aVsAJdmWvSHVg2iaw/jYgKboQGVWYBPBkjy8nlx6Y/kMmoqRtKsB8CacjERzsI5mPC7RPb9DDQ0QRKOd7In7dHuhP6MAPHOoNftHQUR0V4JsIa88wehxF27NhFXQB9iy/k4YCoGiMDRURSTsoqd7GkODNcTTKaQf5iEQBK5Rnx67tJpEG/vNDYy6DGhmSFbpIMT5RAZpD+UWoKU5VaJBGRMiA+jrzeYC5eZ2IUnpWkIpCdGojWl+AHR2NFJS2kTVeb2ErNkclq6yarafleF35IyeIJIYJRCykgjrE3QiKLPLJjDj8D2YYqOYYqOULrsfw9MW8n0mCrw66FpzUqHYqGE3q8gmFdms8mpyIe5gAnvSQ/vo2QwPT8cU91AitDB0wEFNTxhjwsrIUAVx0wgxkw/z4AClfbas8yxME9FdMQdTgzKXiluoE3pYmdOCbIwipnqY33VmlfV5w/NwClHcyQwAPwX+BEcT31h8NX0DmezGyKB+TdO7NIR0PYLafgnFaGbBULbMxI+uzDy3kGWILlM1o2o/QUnC79K/QfdoM3mifu9fNI6iInHUMQ1DSYLOMgsjEQsvd5xNqseImhCI+fR7nwyLbOi5jaHYDIwpfaKLDGZS8ZTBI0jtOqHXb7SyuWwOYaMVIaFOGmXbWDSHbjUHZygTFuz2FBI26ryYrcZlKE4ngqRfvypOLB4qpjvuVx0sF/dTp6W9mfltmEwRFEVGEWVSNo2TFRZCVomuUgtbImsJm6y8kbeEk3Ipz3M2J8nOSv0j7yOOgUE8FIiZOcGTH2S2qZ0cIYJTyIBcj83HzQsfxm4KYBIzRO/eUSfmRILPN3yOFks536u7hXLjIAPpMGqNbfKxqQQfppBCMuddKsD+k+09z8x/mM3ImzH2/xZfCz/Z9RO+tjST9uyNeWnx6WkXm67eNJbCPSN3BgeHD/LBaR/kltm3jLWfungqv9r7K+iCfFc+bdPa2Nezj0s6L8GlmLjMpKdOxsQYr5a9AgJoCIyU3YcjnRHpieegGGejpYeBO5qyyYPvL8zhqYFRmsIxLtvXwgV5Ln4/U/coaZrGJXtP0FZQCmP1yW7gMDC3NcZFuzOu/YblCskcXTm0qcjGz2Z7ON/UhLKtAPwTPyLRkAEzJYNdHJk6j52mLq6X5mDQXuGh2zO6KbZoZgjrKdMnvfP2bebCQ+10L7yKn0wz01o1ZazNlM4hNvc8RDQdvljY1kfb3HPoip7AoKX4cM9jE85ne85CdrkzA/qn2zKZZdd2D/Lnsqvp1Uy0GvpwoFA5jjfhFvbR792IKJeBaSaapiIIIqJcjChaMLpuI+H/ZdbxUlYz0dxujqYK2ZWqYL7cxbKIGZImvr3t8yiaxB9Hj0I64qGFBgi/8TW+suwm9hU08PHBjVxXcGlWn3ElikmyMKIaIK1F0Tik8yJijSrmwyLGhvWYpun7rRmCzfEnWFJ6MSoKz3feh4pC4exhShYf4+3NH2bPnkvG+t+54/0sW/5n3JI+aEq2MGBG06DpwGpWxQ7hW+TApIUJFVvwnIxjas2syXrqc/nJh+/kY9seocK7D2Hcci0SzfaIORwZJVhZngjeKiozooBKjjTmSHnxgq9giZSCCtsWrWHpzm/jDLQRi7gRDDMI9fbiqQ8Q6rMRNBo5XBhn+S6d79bfWYQ/bkXUBK7Z7GHFsS5Ug0b/quxjN4/WUeB0MTsBh5Qrxpad5dbDxLxGTM+CdWExcezEc44gB0fRAv0sEqO8le7j7M6zyFHyma00cZn0EpiPZB3jqGseRtHJwu5Z9Lma6HVmA+VpQ3OpDlWzjK3sirsZNk8MbXeVxLnD+Sme4RsomsCFi37EjzbeR5W/n6oBaCuCcp8DHFAZquSC7UGOuY/yxEqJkGUcABc0pjv28MfUWkzEmeKqwzN6nBzfCUyyXsh0X5pn5DV6iMoWjvXnUP2cn/nso4tMiKnsrBF6t+dSpL2Cf+0SMO8iqVaQHM4elywxfdJ/o3FZ1vZZxLiXAnYkdiJtfZXPrr6NIYOLVxIuysVRDKkkSVn3BPa482gY1FPkI6UNY0BIVNPht9xWUiOVyOOm2hHVxkLDCZYJOv9mw7Q8NA3271tPMmnmgpq/0lZlo61KB6ZNsfSCQxD4luszVI/0M51mFqVLnmjAoJbHDwS92KMgxbGjSyJUDYnMNQ0xNx12fDimu8tqXO005h3nr3nf4Hux69g0oi+SA4qFD+54jd+seh8rFumZVJ8ZeIlZSg7QRIXNx5ZJGA6LXP0UbA3TcsHTE3/8F9l7npn/MFtfvX5MFRjg8ebH0cYVkTuVtl3nrsvSovns/M+yvmo9V0+5Oqu/8X397vDv2Nm/k6SUxFOQHX+OybGxFbKAhl3UCJithEwWJE1jmnI2Df2dMO5cBE1jrbeHz7lkZvScJDfkY0p/By8N+fhCUxd3nujmmUEfbdHJU2r31ZrHElBFZz9PuV7mCa6hnSp+JujZIq/GpxCwCzxjzWhN7DOm0AQQRAeiYQqioY7ydFHMu89ZyS/rfBzUsvlCXcVVtJXXEzVZ6PXovIGiSJDBWBfzvRMnuq/87jtjQAbAFk8yL38d5baprCm6lhKL7lFqqZzKlgVns23uKjoXT6Mq0o6oKVzW97es/jxJLxYlSlI08LK9npetSYbTriJBStCtHceYTKGmekjF9hBWdU0P0VDK9tInQNSQjLOy+kzk6W7sDkVfOXcqOfRoYf5w4GMEkw4iKSu3UcGzI8fo369rt7xRPp99BTqY22qfzXHfjrH+mnyP8tDoBt4hyYk0kKlN9LOi7xBhk0zHahPxWnUMyJyy5YWXY5TMmCUbi0vWUrp0gJLFQ3i9JXg8XeTkZE8ygUA+tmCCn7R8kxGPLvfe3jqXaNSJqIF3pJTBcCnt8Q9m7aeaNVovdyMpGudGvERm6uAlEnWTNxhnyFc51raw6AS5eRMzdgAiTMwkCl+ZpKOygrdWrcISKaXEINBoERFtBcSNLiQthTPUgygXM7A3D99JBwN7c5ndnseUPi9GRcWoqITEFD6rCTQNsx2C61MIKbC8nT0UR1JWuuSJ4Y4S42HMhQliAyaqyJz/AmMTU5yDvD+/mSu7NNb3aVSmFbkvk16a9DrnW9v5hPVBQo5W5vim4Uzo98set1LtraCxzYBppI/Z6mGmj07HpEzMGJKsJ+mkiN+kLuS7qQ8xz9jFjmVLGLG6+OBGlQUtRqzjQr/Hp06lZiBbKdyYFu/bXbidlGWQmGcbL5a52Vg2l15CdIdPMoRKXyrzXI6dnE71HyYWnQTo3pyLmgBTMkjfaA5hZTX+1A0kR/ZMaDtkdvFwRTZp1S2M0pVQaTFDpCJbU6tLzeEDezP3s92VnZ12uvVbzQxZx2ncpBQ+EjpEi/Jxdqc+QUyZi2VPAQcPnkc8bkdVZYSWPHZ0LGagvxr7cZWTpqqx3V9tXMKO6ukckzMJBKEeE+eFM0KfmsFEPL+UhsoBDhn1kLkVfVH4fnayfGg/V4dfpqwnyshIKRWRJB6jTz9f1QEanHck890/MX0JSYPO8yuyBPGWnFJAzoz1fQkHslkluu2P73o//pn2nmfmP8wMooHfnvdbZv0hM3F1BDqoclUBmUyn8SAFYGHRQhYWTRRZm547kYzpMrloKGxg+2BGBKvbll307vryCu7q8tLjzmPKQBezm3UFW00QOFGoe0Rmd7VQ23aERw7tYuVpx/jDmD//zERmgGGHSH5QZff5J3hR1OP7z3JlVpuw20SLMcxPxglC5QUFyhUJo/1C/e/An7CFA4RtTv5YW87G3C9zbYfuGUnIRh679GMAfO74CwAUhX1YU0likkLuSB/uYAE+hz7YP/r121HVDHhyhWMYSuZjlqwsS3sy9o68hmScQXfdZeyqzwzei0b7+dSOByZcpwCURntosesgKChqPOQcrxD7Pr7f+mP6PDKp6CY2nBVi3Z45mBQrPZ5Ofl/5Bb4TfoimzR2g6oO8JsmkNJFhTV/hDWs2XtSC7PVWjfXa5Sjgp8D7Qy6KnVdzd03mHQlKLvraf88B11sAREUzf6y8FNDvc74Gn275G5KmMmy3ozxlYEtFHtlQhrEQJ0CFaTZm5yJ6o1s4cviczPPKP8nwkD5AD/iqGOrSs2xsef3ER21092ZIjIFAPifjFeypb+TuPRKipqAKMPDdJLXWJkqHUiRC1eSW6AD2EcuHOaujGTEFqggrl/0R8Qx5rl/mZ0zhKNfzu6ztcrWPd5ZehJQy0+ATWGjTh84Ko0i7u56iwd3khqL486LEfSbaX9eJoA0Do5T4M5PZ9G6dQKkhYHDMxrGrC81q5IRgxdkVxlkeJtVRiS0VoVPOBlUGvDilIaIldpItElX0YyROAhPzTM0UlOqepq+nuiAFJ4wbeUB5/wS+25ahSpbnd3CL8UV+yQ1E5R4sioW1PWuJ9vRTEDj1rQ8CGgGTAYPdwLqudfytSgfhsYH1mAtfRrK1MqJdysPqxZxvbKLY0g+ijTcu0UNXp+CjogkENRNuOcaJOeuA58fOp8HfwGHPYVJSHFuNXpNrs/EsXs/LgNVbkyEYxzXu2FoP7Jv0GY63UOAwb6lXMDPxKEI4jipoxBocWJv0UPqXV94yxhk5ZbnyMLt9Fdgjc2meHsQZjxLQMly/x0cXMH/zLvactZA2dxHl9NLFxBIHAFtLr6JU6KK4M82jkiVCefBX9P4Gkh9jVzhb26mXYmLtDTQLDYRGSghOy87e2lfRwLDdxW1Hfo9bDeNvs2IwnoRFmZBxIq+YFtd8AhE3JGE5u3mds3CaNb5b/isOdBdgGDbSYa9A0iQuFFr4M/OIYcCvmanv76Ki8yS/Xf8B+qwefjDHwX2HzTgNMSINhbw5+xy+te0nuI1R3h6spivsZr6nl4Locf5d9h6Y+Q80QRD48wV/5tqX9Mn94mcvBvQU7v2D+4GJYOZMJosyD53/EB99NSPjbZJMVFVVsX27DmZKa0pJViW5rvQ6zLIZu8HOgqJyrLKRFwd0MHPKzjm+h7mdzbzSuIRzA/2n1WzVrWq4j6aiykl+mWgD07oxuHfzonj9Gduo+WaSM9yII3FEbxwhodIlq2O6LKDzZz756I85XtPIy2sup8ddys7ZK3ifFOe70zPZRX+oXoY4EMXTGWaN9g7+CgvDg83Mbh5m0/wl5IVjlA71s79C14WQFJVAwRSabeuIh70oVgdaai/DVg1rqpJzDkQYzfPTkqNzFw7OWMiFezcQSmZ7e47WziRusp/CCZOaoe4qBO8rWExT8AxGSEhRTIqV9x+6g6OL/0Zn8G2QyxEUO4qYRDVbGVTsqGkHrIbA3tOEyU7Zjty5dNuzV5k9RhFLTCHllnjHswxFyB705wsGFkz/PNqUJNNFEQEBQcj2MLSKA7xjOMYMpRwNDZtmorOrku7O/Kx2vaVOtICIKa6OARmAgwfW4XBkZ+b4fMVENAdTU4cZzvNQMDREV4GIZIESerlOvode7RxKRX2VeNxbT8xWwAKaGXS5zghkjKFibmgr5P76Ml4cdFM4CkMzm1gvvoCkmHi/uZgc33TGq9EbBAElNxcGITcUpSe1nVmJdlrtHtQRmSn93kmPNadrkFSRnhIuRBLEdxfQ0eoit8HHOSErH9Je5zfipTzvjnKxT5/4VFX3YLrz4nhx0PWqh4tnvYpQLFHAxOKJ9fZWGge8kJYQ2Rss50HjZdg9fpbzCEkkfGTX8XnBtYbF6m6CgpurT7xKR6GD0YSZW3iUbdp8XH0V/EY5CyVSDYUvI5kGMea/QtCzhWcH1uIbXUU+fj5ofIfVwh6+mLqFWnGE/UopftXM+00HESUjlxxt5ISnjxym4Ew6OTyuzheAIWc78cGMQu/DYgwwUx4coMtRyFF31dhvPSUllPZOnnFZ0ttL2P8I4W79XvsK7GyZvZpKYwdbbQ302DLv4YVhA1FHCy4pRtjRRjxdM+w8YzMHkyU0q5m2hxOloGpoVplmYwmWSZzL02ds5GDgIm5ri7NR6pzYANhlmChSeUypZ1vDTCp9XroK9G/BHQnis2Yy4Lo8hXyt9NN8df8DRIo/ybZqEchO8/f7izjlPYnN7cO9fxSflsPrrETMVZBHm2nXykCAQmGYAjFIn+ri2cRMPqu+xBrrIX7LBwDYUGTgWFcdiyOH+cXArzlmrcdcFsQS0kf41lAuu0eqEUvqKZ30Sv/59l6Y6T/UZubP5JOzP5m17bnW5+gMdiIgZBGF/54tKFrADY0ZQbfb5t1GZaUONiRJ4voPXM/3zvoeF9dezNrKtSwtWYpBFLi9qohfrppYmM0TCfLBpt2o0clnZndkIsR5ck4tby3SOSnVFiM35+irw56qAHflXP/uFyAIKGU2krM9xFfoI3fnaS76Uxo0U08eZsk+PZV809J1bJw1lRF7Jh110JiD4aiPk14IqwKLjEeJRjpYflB3Ua8eEZGLZjGSzsqaYV2NoeYS2pM2hpIOFiOjWlzEiquRTTUYFPj1vozeiCpLBJVsIJOQDby49mpa5mW8bblCmBlke8MGXVOpsE9HMa9kZfsVOBKZ887vyGEwMkLcNYpkmo6Qo4PZkVT2ZHUmOx3IACiCQEDwsN85i0PORo46pmX9Pi+9ohUkA6IgTQAyKiobjYdJCgr75XYOyB1sNTTTrU1McZ4WamVW9cYJ2wGCwWzgk0hYKUgqFEphekv1FfFwYS19mv7/qTlvY5++CVHQGIjkEdoNuQF9oG93leAlO4R6yvL3foWL+lJ852Cc2u1TsTdNpbVbn1DzTlyhA5lJLJKjE4HdkRjz+k/iOaYwf/8Qi0/2Tdr+lMn9mazD3FAUJSZjPylQYnqb223PIaLS1mjgWFk6U0tJktKMmIxJjM4UsVEj8qYotZG2Mx2CGfLLALQEPVxu+BEva0t4KqmHVXrIfuadipuwbOfN/NXsypvDLs98ykaD+JMWihjmMl7l87F3uDIygKbYUGL6/qa8txDEJErxSyDGGcLNLxMXMZsmWpVcXkpOp1d1EcbEhqQ+ORssU5geXU1xtJg11n04TmfdCgp61qJuIUn3bl7T9AaCptLtKMBrcjDi8fDOWStpO63m3CnLGfVR1p2pZ9bvqSAi2tg1fQ5/K8oQuHMVgelJiYZ03aiYtQ9N1L9Tu5BgmbGdlYaMzo6gaAgBneS725X5LsxpLaZqpYAOexm/3hulOjl5Gv6Z7GBRHYfKatlYP4tmj+4NrhnqpSKcDdieqFlPT83tWEuXcElC5+KZBroQ1PEJEQIWix8cCcyFuhd8LzPZLcyh2zODmGDGSIIl7BuT4gB4XZ7BAjEbYD5akeG2TYucoFrpp2BcocpNg2UUXvkp/l32Hpj5D7bTi1CesoacBtxm93+rr1vn3so959zDw+se5uKai7FYLHz605/mU5/6FAaD4Yz7TS/Mn3S75h8lcgZdjpxoiPuq85hhz4Rf5jttTLVZeHPhFJ6dW8/6Sp0RuVNYNmkfAH+cWTX2/2ma/uFZZf2YfaeDGUMZp0g/xYMZkPCceUpWOyGUQkinZv4w9gGuGLqTeFs75+58h3ufeIM56i6eWuUmYZABkahrHnXDesw/BWwOKcT95UiKBU0zomkKu9tUvvJGOqQlGkmUZSbTsNnKr27UyaGaTcaQHkCLxAAFcjYY3EsKt7kEQcweHNXx2QieOh7KK+Wk2cLhVCF7NH3CmXbap36x8Qh1VWFySifyga7uPMKaLh28nXBXkUpMPhjPncSxu1Vu4rfmDTzteomHLBsm2SvbxHTWVGvLYjo75rxrW3dZE07nYNa25oYG3jx7Da1T5xDwZTJ57DW6WnOTt46lcjvVIzqwGOkW+Wb7nfyUL2HvX0DVlu8RCTbScexu7DH9Ouf6VKaa9ftV7FV5o/secrqyZeYBFFEPA9bMaiVl0/k8zh79ek5PZnn8nI+967UVRVTWl36MuXl6lphZjPL55HZieS6eW2TnnTlhPlV2G7KgP+ui8yIUXhqkbMUIZvPEzJlUmiy7IFefyDsiGe7HKU9dW1pCP6waeCNRz9vJbJmHp+tWcVfDR+mU9HbPJZdwVezrrFUW8xNaKfFmE6oBHFO+iSDrTOlt8XpSyHjw81vjDxBRGVQz71JUFfAlFc4J7eYzJ7PLCQiCgmPanTCuVIeoqSzuP0qtX5/Ut5U38vZZegB7z4L5bDjnbA7W6hyRpM1N2DqR+zRUkE9ANfFkPFs64eqQCdl2mLB5ciXhUqGZGnGEVVImLC6O6s+/w1nGw7GFPBxbyNz4Qi6Oz2dlchrO1/WMLBGRq+PLWBubwdmJxkn7X5ys5+qknWJlgF63fi/CJhNtad5biW+IRw58lfUbswm2F845ixGjgITImkQjUshPMYeR5UxG06kisy53f9a++9GTSSrooZaOLDBzRK1EM2i8teV+jOlipVtdcyect3gaCP31M69Oen3/CnsPzPwH2+z82ZMWnJyMG/P3zCAaOKvsLOYXzh8rF5Cbm4vH8+5CVKIoIs+eh4qAwXxmcSe73T7WL0BdcJTfN1Zjl0SuKMzBIumv4nS7hUKTgXku24Q+bi7L5xu1JQjA47NrWe1xMcVqoIR+brbvwCSorGATH5jyJCkBmsxRkmk3qyCYECQ9NFTVfRJSk8vBi94MT6VTKqTbUcD3Fn4EAVgg5HLOue/jgKrHhUW5FK8iMpLMhC38ikYoacQWrAIgJY4STMokW3o4q0/XgumtqRujzr29+HzG8oEFgSrDKCIqNeIIJVIAu5oZzPejkGepRtOSaJo+aWqaStzoJ5mu8bQxUYtPsvCSlMfuVCZ983Yyz6ZOGiJXjFAdHWS5PwfbuFthT0WYlZCYPaynW+8umMoJd3YaqFFJMnO0m+LTho8QMY7KOlD0xk1o2rsPL2YtxQd5duzvaDTbi2TQBIxaBjCJEduEAVkTRYYKCtBEkZeaM6U0DJI+wZ8YrmeKnAlTDYcshJtlDifnUXrwVkzhUkr338Z5Xdm8hClmCRGo6Vf41NGJ72LM3snADF2jyRyuxJwzuTYRgKFyBa8uX8lDF74fRRCzynWcMncogsOQg0HIgOtaaRdxk4mEQeBy5WECso2YoANnmxzGYwliKxXRBNt43j3AhCrJe1PZWk23K7fQjs7rOaCU0K26SZ4GTpOSgW5HAV+z69mPL2kLiakNNFDCUuZyRXKiVxbAmKt72N4Ude9gvdDDSuEY7xc2k0SiJeUhqko8l5jFq8oS2lOlHE3OItpzzYS+TDkZ3l6drxtbKs6s9Lu5uWY+UYMFNFBkmeH8fPorS1EFkd6qOoby9YVWVDISMphJyDIDeflsTVVlHePSsBGbJjBkUjAaJylUqoFfcGBXY1SJHeSkF0WnxopQnhlNFtAE+CUKhZobIzIzzZnJ36FZqKSIGrWQOqUIg5bxnuSqDhqVclxKPYXe/jEwA5CSZERVZaovTqESp7FpL2s3ZScP3F9nRAVq1UIKYjJ5FRZKSppIiSKKIOBy6WDG7cokPYiagJT+Pqvoxk2AWqEPExlgvLO4iPxIFZd369t6zQVsO00/q8eUzxtrMkklNl/29/mvtPc4M//BZpSMvHHlG6TUFOFkmDWP6yJmjXmTo/9/ln3l0ouIXLAOq0EmlUrxyCOP0NOjrwjPPvtsli5diiRJKIrCm2++ybZt22hra+OSmTM5sqIRWTjdxwxGMXsiXONx8I06Hch8tDQPcxr8vLFwOqpaj0E8l/XxIXZuewihQmNV2VZcjhn4/E3seO3b5IdzMC39OJF3voeIRvHLR+hbNwMMej8vf+Y6PnfbV2kOTFRAHba60YA9163hke8/wkqvvroMG0sxnqFEjjGuD0hJU2Bsyq/ubWVz8VKenHoJnzQH+Wr7g2wqzpCZbbEIy2hjkakDRYljEAzU1cfYXVmDvLGfEU0jKDuJxR5FTBmQzQtJhp5lp+sD7IzP5zxDE2EmX1n+6BwPR1cs5fs//BFiOhOp1DdC3kCcA9bYmF7GdV1/YBiNmUM+AE7klE/o68kX7kREIyiIIIhEp1p5oXEdqjA5F0USkyhqtnfvutgqnNILuAw9k+6TUux8LKlnwbxlOEKL1I/XW8boaDbnp1txYhBUCsUQqbCTr2/9It9e9qOx3/3+IhAyA6yWlgh8YmOIU2u5gujknke3JGAMWhlPK3nBl8SS10TZkp8jpcMH5mAFcefkTAFD1VmYZl+LaBP5w4Xv58UVF/L1NyLM2vQ5SMXQBAlFNCCnYqj+LgR3JZpmQBCS5NkyXoC/FZ7Dp6d/jYX+Qzy/X0/BjavTGUroAmVu+V7scibLpsCcXSV6l6iHyM4Vd/OWOofnkiuwi3uRBI1+daKH5XRLaBIDpsPcMmwGj+41XRWbxT3p35VIBZJV54UYDAPEgc2qHjZdJBzjnMRP6db0xcQ7qVOZOAJ3YKYldRHbtWpSgXLmxcyEPNtoztGzc1aYBmnz9XDSXcqsoVZOeiqYNdTC03WrOGitIhmuYQ0DRJztCKrMaEEer599J77cZqY2JWjxlfLpNbcDMF/qJIIx63o/ldqLNbkcTVBIGYIwTg7BGMvF6ZuKhoY/dx/ukXkIlkGeMdlJAYFRuEDTwCwRP6cEIZyk451B2sVBqtQCKlR9DPB7j+LyZEKUVwp3seeki9dqzwMNAkIEFQ0BD/ZiZxY3BmCWP8xVsQUYDFu4svIAcpOJ+uJ13Nugf+vPlBspiWp8tC3BHPss+gqeI5Ky8peStdjiUZaaHsccToEt4+k9Pzkbj+rgKdN2RmYH6PSaqe3u5GrTAV5J1jKo5tD0h1lUz5vFNH/Ge3vF7J9jVFO0vXM+AK2WSvZNmUlHQRGaIPCTkv9eSO1/097zzPyHm0E0YJEt5FnyuLHxRpaVLOPsirP//o7/iyaKInaTEVEUMRqN1NRk0garqqowGAyIoojBYKAqHdtub28HwCSKCJpGa2sriUQ2i+4vs/R+ROCHDWWIgoAgCGNABsAgCphkI6Io47IUU15yDYIA5SUXMXfO3RgNMeRcfbXV3hykx6zzKspivdQ06+S7T217BnMywdWvP488MjnPJ/aJ27n96SOs9GYUkl92FRJLT+DiaRP5KVXduDlIl7mUpCCT05mZuO+t+iCqKHLIoadB5yZGWd67H0EAr9PFOzP1eP7M3pNU+PrBpa879qNQWfs+3EaZWOo1Rl0emkR9tb7rNCGtU3a+y4qrOYzVYmJarhNTJAaqBoJGVNzHWaEDFKQUrg3upMITxWDTiNgmhp/qfN18YfefMGgKkqYgkAAlQW1NGypnLnyoqBJO5wC5uV1YjBEWJuswIBNVLgI1n3kcnLCPQQyTJMWoEGJuKhP+0LRsEnKBGCKS9t6UiT5sEZm+3noSCTMdfQ2UpDLv1KsJ3etRi0jZGYa+znjmOqZbRGZaMsc7GFVQAHPhcRBVFJOfuE1/psaqVQhpMqnozEjaSwUzEASRBaOqzu2ymljuMGJddhuisxTr8tsJuHWviTLcDBiJKLPoM+YRt1sRtRRV4W7eyNXDrfsdGQ+QL3lz5v+pTxIIWDgkG3ne7EEQ9EcM8NZANSm3C5cQZbF4gmJGmSn3IQkaYc2ACz377cfyb7jf8AumC+0T7ssLYgMuv4rbmvHwOFQrl4+cw4LQDGZ134CkpEGhtQdQaU6HsYo09xiQ0U3gVMj3Z8SoUC+gWdPbFgsRGgIZAniTtRWjuZuq6FHO7TnE1jlX4R7Htj1mVDFGyjFF8zHGdS9y2NUHokZrTS0PzMnk1u1RKjimZHhC1QwxzbyfhNFHxNYF477hHHzYA7XoARyZnJGFCEhYosW8YdiPGYECZdxNBjSbgZBd5oiYTcZuV9pIRnRgKjLEbkHirerVY7ciKSgMCD4AWuwfB0BWMp6bpaOtiIgEk1dRYk4x13M2V3UlMCmZY9+TBjatdcXssdfzpOv9hE0WBp0eNg58BlNQD3k1NGyhgDADrgKSspEpFgGbaxSftYA6VR/HSgz6uRyuP5ddsgVpIEzZ8AB1g900hDpY2nyEJ7iAUa2U71bdBoA3J59Rdx5C11v8u+w9z8z/D9ln53/2330KAFRXV/P2229jMBgoKclOWaysrEQQBLxeL4FAAKfTyc6dO3nllVeYO3cul16aGXzW5DrpXzPnv3XsqVO/y9Sp3x37e8Xy7bR3f4pY53xKkiJbzWWUx3oojfZQvWmU59++HW9nMSlg/kdvQnsrgCUZo8HXzYH8zMB9ZPH5mJ/anXWsPlMhL0oJ3h82odkGIXR65VmNo7KRrcWXMDNwiBX+bJ2Lv+WfTVSy4En4OLTtMp7jXPbTSK87j16XvqqTNI3zju5ip1bBUQrZR4pvR9w8U15NRMzjjdr5+I/oE/NocmKY7xIMhMvtVJ2IEvbHmWGowxecRUA8RtwyRLggjAGRXyQeZqp9N3dxAxYtSlPsMLmJEUaMuqdqVfc+vrT7T/ozPGcYa36CeECiZ4sHly2KUUuSwDjh+IbRYZI5eQR9+Whpb9thuZPZSiUg05/4LftMb45NJA5V1xYKiTHaxSG2GJqQERG0SVXZMQoq1ZIPgArRT4Xkp6VlCS0tegik1KBnE+1IltOXXpFPxvUB2BlO0ZfUGFU0ZlslcuUM4DkRU2hLA52YY4DDw1PxxV0U5BzHFC5FMFqxr/0eAEqgh8ib3wIE5DwdrM73KjxWCb/Yq4NlyVOL7exvAGAt2AkjkBpqwli3lr7kBXxgTiNdFn3ibbdlwFFSNBARTVjVOKqWvQq+fPn9/OSXX+Zn6z/NOu1ODIIOSOcWDDBL8DMLPz3UcY7cPrZPUJN523R7Vj/rpF3cEbuJp1g9tm3T0Bz2WtaQb8z2jH18cFx5iNZFrKrdjSDFEc29qLEyliDRo10AxDmTbTlF9NU0zCigmvh8yyf4Rc2D+A1B/HOfQVAMnIj/mDwpwP4lC2Cc8HmvrFLpn0bU0k/cMkjSqHN2kiYjPZ7C8XIoWSYlCwmbzfg9E8H0jfyVTYZi2uMTQ/b9SpLfmnU+mGN4DcHCjOtO9ZjY25viwnHtW5wKjnw/NYE8ekQfrwuXTyjmOagmKRHggEf/hqb2d3K8qIKUJLPStwWoRaWU/sQfqXEAKdi0IcSS8zLvwOuFMl+eMxeYm9X/oxWLWbCnkRLbVygqaCXctIybFlk5pz/Jd58TOblIw9b2OcyJKjzGXVSqBvYDz+WU8BwRUGHm/j7mGzJcwyNM4YgwhURUHfNcusNBepsm3st/lb3nmXnP/tetqqqKs846i0svvRRZzp44zGYzxcX6gHjKO/PqqzppbN++fTz22GM8/vjj9PW9eybIP2omUz5T6nxEBQ0jAtG0AFVZrJeDuTXs7Cljl9OO12Vn6/ZNLPduZeZIK1/Y/SfWtW9nrVNfBX7t2cOUxDLZBK/kn4sqSJw0qBw3pNhWsIlXGn7H3pLXCaUFqDySgFfRV6Rt9hqSJQ18/FAm3v3zyusAWNW7m33MoD29ku115xExZQuLVWr6pLybJC/Ke9mimhlSbTQ0T8xkqRK95AgR5qPwKczsc4uUj6R45Itvs+WAzqUwpKv3nrLXjbO4Cz2jLSpYoKSEdcF3KI77WNB/jE8d0ImHbflOLHn6PTE5FcKrPOxQF2TzLVQF42AP5t42qvuOUNtygnM2bWChti/df7YHLi89KU9JlbAuOZdiVSer7pPbSAkKMSGJpHjIVUqYGXgXN/YZqj0D5I/zHC0e591pSWU4AiMpfdZryZ2Y5jycysyIDytrebDrBh5ruoxd48gqo+VvACA6SjDOuJzUuY2M1m/Wj+mNUhBMMdM/0YPlKdRJrMpIE5qqEBemsWLAw1xvihta4+TEs/e5eO49/CX/ahQKsrbfejyPv5S/jw90+Xk5sZa9zOAvXMLdfJQz2YXGTZNu/4bpUeaGDvIpbzsrkdkuL6FScmFBwI9KIo0QDqiZbJaUMgshpHsHJavOazmIwr3vAmQA/kj6fRJSHKafsNHHsuQUpsaqxtpoUpIRWw+GpBNTtIArY5l3qEtW8Ykq+3GRGod4j6UK8GoT+UmnrMWg0KTpXj8xGsJg3ImNMGsNb9I2VaJhym9hEo+jIZEBL5ccO0jOUOb6VI+JLs3ALvkwcS3CX6RmnrbM4t5QgCeFdjbJgxP6AxhJiGzPlXimXAcz5d4BVjft48bWpzgr8Pyk+2higNtSmUzJb800T9oO4MlyE/bhmcjRYvbW6lBra56MUtbA9n2XcEyqB0QaVDsr1Inf2KEzSDqc17qdtSNbqQ12cvPhJzHYJ5Ku/1X2Hph5z/7XTRRFzj77bBobJ+funAo1tbW1oShKloLx8ePHOXr0KL/5zW/+184nL3cJXnO6TL2QB7IBixqjUOvhaGk+fW4726sKSRzbzjz/AebHD+OJB7lt/5N8aHkmZFaWBjOzz7uQNmemzs/ztiRHHW2sO3sZOytfoMutp9y6DQrdmv5xh0Qba7XzuLn3bD7RplfnPWktB02jsCPE86xNa35o9Ll0b0i3K0O+zhPCSCgEEHgdE9tTVWxO1uiKnadZrTzMxeZj/Ag7oxYRh9GAMQXauM/9dDBzuoVcpRhKSzjfdYIvHfoLjmQUv8XIsZJ8htPk0jgGnrJewMviSrRxadmupBfTSB8G/whTi/pZ63ub3AEvsYCJ9bwJ6Pozp6xEzcGiGVmZmoZLs1KSBjMBMRPyM2PgsuQ06k2Tp0f/PZuTzopZFo8wLx2W2hRM8UdBBzPdqkJCg/3VRg6sODxhf28azHhFlZZgNYGYg2jKyq97FpNAI4HKcN3TDFe9gCAIdM5bhcM+jL/yr6hSFGvKwJePZMKMqZiP7nTWnOgqB4MVUnFUfxcunNzRFOfBXVE+2ZLghwd0N8QS334AjtjreTlHD0c0OUSeN+iejQVBDXfFOZyI5eGNLec5zqOJWpLCRI/ZKVuWOowyCQh0ClG+EHuRa3Ia+S4W4uaCsVT8vSgcTGehyfLbFBpvAiChTqUgpEs6yDY9tDs+n/G2M/C5utOAocbSSVPNFt4oeQtFVKgJ12S3cx1DQMTpn0pVzMX5ET2s1SmrbLQkeccETUmduzSs2tiROqVlpZEvZHOIANxCFFWQSWoixo4THIr7WGl+hOTCLgYLTHROVTl/yu0T9rOOE9DLDbn43MYwv9uu96/mmOgTHVwmf4l44lbuUYroUD1sV2v5peY5TWxBN4fPzmjSyq0LMkCgyD/C0sGDfK/718hCFEWbKGex3XKERdJm1ms62IlJZ0bzA2YB2/BUKnd8jd0e/f2PygJP1JZw17zr+OIcMypQrtqpwEbNJNAgcVqIF2BFag+PHv4yb+/5MJe//Byr1t4yoc2/yt4LM71n/3Krqqpi69attLe3099/ZvZ7OBzGZjvzyuofNbdrAdNqXydw+DJWxk24Klcz0Po68/z7J21v1PxEjDLHqoo5qzAzAJdG9cmoYsZMXrl4Duf+PLOqHen4DKn6OoLHqngBOFhyGMm1g1BfpirxPlKUYqRo5ixOqQl6wpnKyQBFapz1bz7JUG4RF/U9h9NqYLO4FEnQKBBD9KkuDqX08ENQM5NICwPmyBqjKQEDEK6ahiGkYo4a2OOR8RzZB2QTeSXlzKu4023v3Pn0lpVQ0D+EK8/JPfICzmMT+ROE2jRAoELroT29pdzqw1aZZLTFhjaosNB1gEHyeMcgkZOw4tEcFKs5BIVM3OCUZ2a8OdLenD7xzEU4383Cop/r3YeYHyjCqAokNQ2/ojE3aOBRa5zimD54d+QbOCheSvMyhRu2BxlQU2zVUiStkKcIHDApiMNAGtz40LiDCAow++B6Ck4eZHq1jW2BEEflMuaprURymrEPz2alXwenSQG+OTPEr9qfIpS8Udfnya2B/sOMjuwkL125PHHiVdToKPNmXsXP9+3iv+bMpzao8MXNB6l74ScE0SgBRiuXEBPNiLZ81tSdzS/tdqaazsxhOmWXGZ8nN+GfNAyjKpDXVoOQJyKhawqdCs/tJYUWgz7zSW6S70MUVERGUMVcLvLN5felbyBb2gGF8fLDl2OkCJFCRE6g4EXjN2mvjQBcaIzwGyAlKByxtlAYmQK8NrZ/j7uJub3njf1dntaE6ZdTyIIKmsyAaGQG0D+uJIVFFbggoXLQ3o0BhanSUBbHbdjk47n1JynwmviKO5evyhmvT8fsCIvUH9CbaCTqCjBy8INIMQ/l0w7xZmQFuSNFuDToGGjBkJpB0ijTd/ZUSrtf4trjz3J6vdbhRBEVUQtB1wlqfcdRvPMI2mbRXpgNOPOH6znbtoFTkdvm+HGmmTNSHJtGDhOK11AATOMwL3Px2G/n9yUpjqosGVFot4r8cIaZEw6RWGg6QclIly0DVB6u1g/gNYm02kXqQsXYkHCNj+Ol7a/x2TRK/UQFA52La/ja8QepD53gpuTtBM1Getbkcv7Dv+GrP56ocP6vsPc8M+/Zv9wqKioQBIHR0VEOHDhwxnanwlD/U/N4VuApyRzH750JgKxNXhlaEzT2VhUxYDHytx9+jfNnFGJWouQl9VBP2fSZ1BXY+flV2WmKv3gjo+bZGamle5ybHGAfCu731XHVrPkI6dTMMm+2um2hOoXKkSZW7Xyd5fIxzha386HUEwBjOhDxcbrucQwIaHw5ZUYEliDz02Ybi0K6K3yPR6KsKzuOrSROgroXS3hyCfbTrbdMbzdYlE+3rIO711hFE9nVxXPxIqKwQD6GUUyRY4yQZ4ogOvSJo3Sgn1aqWM9GkoLCRsOR9DW7KVP1if6Q1MGIGMShZoOtQdFPCoXeNJiZVhQk1+tnQk4yIExCrlEEFWIx9hjbSZDCm9LG5nBnRCScnvvbC/QJu8Uh8Y0ifbI9JCgcNyq8uchBQNYQUlpWRGtf2lOxfaAOQyBFYegpfptaxU9SV1PQqhHJyZZ4/+7/x957h8dRnuv/n5ntTbur3rtkW7bce7exjcF0TO+hJUAIgdByICGFEAgkOZSQhBoChF5Nx2Ab996bbEuyet2q7Tvz+2PWGq1XhuT8cuCc89V9Xbq0M/POuzOzM/M+7/Pcz/2MNPJJ+Qi+GiDR1JEwml29dQDIkT7Ce94keuQL4r2Hmd05HFNc4I9bg1QtewhhgAUysnE90foVhHe/jiMaZpElG0n39aGdGg6SpR9cNfcYNFmq93EyWmoThskeKU5hWMO46BY0ooQgQF+ihMaoSCGGmBkSvJljOBUdGgRmoaMaDUvQs3DAfVyFSJ2lrn95p7mO5cE89AM0jjqsR5EGWAcOScCh8xNHJJzwtrVJNiRZwD0gvH1ut5vsgJUx2jZqtJ0pZP3WgHKenelhnKbUe8c77gjWKe+ROWwlGr0POW7AYpVYnT2+v36WJxahoE0N+cYLLbxiPzmlr+5ILoZwFlZfCYWNAfzWsQiCSEO2ei3m7QxgCGfRG1SI0LIsUNdbx3q/8s445N1Gr2wnFkwn2FvCcPYiyMpx5Ack7t8Z4qa6CBN74yxtjlLmjyMLAjucJrakJ3tXPAPqy21J1yCgR4uGSxKmQbnYw0yN4mmOo2FHvICDsWy8QQOvVJ3MfdEr+FSaxLrAGI6GCgl9sw3934YhY2YI3zqMRmM/MXjjxo0ALFq0iGuuuYarr76aigplkPx3GTN6fTrzF/8j+Rict6K3njdoe1mS8JqUwSUSDDJj70tce/R5ADKLSjCnKYbC2eMKuP3kYYP2ARB1KRkoUxMz2m3E0Jel4TSYGZemzByrfMkDyhtZH/PWxMOcVOkjy6g46eVAEEvTEfIGiFoNRCUi0zHwIhbuTejJjPQqb5XN6RoKOo4Qcv+VsPdlwt6XifZ9SMDaTETnJSsapLonH0fPWBw9Y8nonMQV0psnPKeB2CInG3Nn8wk38jdKtO1cUb6VC0t2IghgNMYoP7WD2vI6XB/bqXtF8Sy5hD6CRNChoTqu3A9topsVuj2EEuEfZDDJeuKCxPPGFTRqFOMv35fD2J46lvpqqY4p8XwxYcTIxw1WBfFkraQO0UOfNIg7AvBaBpTA6E02CKRMA5JD9dSlW/yEp2cTK1U0ajxGI0VmD+skNRS2r3s4ub5k4vfmxIBybe0tHMp+jCz9rewscACQ0dlCXIoS6z7Y3z741e+I9xzm/a5ecvsGL8p6DKaeQ8xGQ4foBmB1tJRl4RG8HhrNh0Ufsqx4Gbbm1bg7gmz3FrBo/F+4edhdbLUNZ8zUN3kzewGxkMh91TfSPUwt87EIHQYEfEKY+T49JlmgQK+E4/YEFnIwpJCUs7Ua8rzK82spe4K7TR38KSITLHyOO4v/QGyAMZKLSFpU8UyORcMOs3rOH5r3s0MW6W38IZYDt6KL64hqInQnasTVWN9gb/46ph2XCReV9LwQnsihgHI8t9S/xPkbf8+0jQ+c8Jq1x1VPYJVROT5/0JrSThBkjJnKhKVnxQ+5+/B7/NH2I8xiL2mxCmzRZOE/2al4PUpiMFFUOIBHtXFkZIzBAvbkKSn2X40wsnqk8txOOhhi+n7FK9IcUnRquuOFBMOttEdjfOGNsk8ahahVnqGmVT/GQoASFENqsKK4ExPrfltj4GejE++H0IGUdg+PMPJGkWJUZYleztLv4kz9JhYL61Pa6rf2sCVWzZpoMpVgUtk/V6bmvwNDxswQvhOUHic/XlZWRmFhIUVFRUycqLhTT2TMxGIxvF7voNtOBJO5gKLxyTNkUVeEz1DKG3lnERW0fJkxC/vI1OyFriPqjLGwprb/syAIfG9GGUbd1z9GZ4sxtEAnMlsCrXQHu7k4105aNExGtxKqiYtxPDoPu9P2E9XL7LOrbueWYDoL005lfLpdcacDmgHExAmJGW4xGszHsWBz6rehi0VB9iPH25Hj7UCEkN5Amr6ZSbp1nGT7K7poGrpoGmlaDfFwHvpQJkJcx9fhmANEkLQUSJ1kyy4yEmm+abowZm2033FiSItjzQ+TIbUS1OgZs34LcQT2HeeHb8dLVIiTG08DWUACYlIqqbCkZwo55Qtx6HOY6MtAkAVyJUdKu8p4LiVS8iDTJro4FE6dQm429TF3rSL/L7jCCKGEMKFeJJ5jBL0GKV39XSa7bJT2yTgylXWdsQxyHQHWDzBm1kkjMXX3EE4MwlHDXjpM6v1y4bifEhOb6LVlENbr0cViNPVsoNejDuwAwc1Pkd7pJNaSnFF3PKLNG/FILuKChCkmYvQb6JatSOlfEtMEEGJRjqR14+uN8ikz2Gkbzmu5p3Bx7UN0GDK5ccS9bI9U8VbmUvLDGmRZRpYV8jxAM0FssoBIlFy9Ulx2Z+A0umLKdqdGoNCjZgE+VfwEHPwdm2272WmpY79pN3FfG3IsxPaeLxjl24Mox9HoeujRufuF3IKmZgR9F3IsjXYpG2MiLOpKX4dV18YMy+s8Iv2RefKur70eJ+3chi4WoD1nCoWNqds9kpFu2Qx9xdhjZsaYlN+8a9dSPC1jUtprbCrrRW5ahEOCGsubmMQ2xu1LvqekdAOyXqQ2pmemqwCtDAEROrUyvRaRXotIUC+wYrR6f08+EORY6bAeqQJfPINtwQkEqh3Ish+flExJliIWmlffyHz5c/RymHkRtdq1nChrMEJWPKA9BvW+qz7oxiopkyPNAMP+tzVGfFo4KHiwChEu5x1OETcNem11W7rp0yRnUC6sLR+07beBIc7MEL4TFBYWJi3n5KhpzcfqQnV1deH3+7Fak2dJH374Idu2beOqq66iuHhwbZXBMO5UK672bfhbVWXOoGEEbcY8/lx6Lf954VhKu3by+Z7BH16AnLLk0IpJr2HfLxdTdrciWHbVjFLSnV08skwlHGZk+ajpcLCTOFe++wB65yb0cT0XHz0dEIgKUd4vfj/Jo/ChLcAFCfbkuJm/wrfLypk2ByttAb6q6+Zks5FPAxFiqDWSAAKEMSeIlu5IF4tXvk2WN0BXWrJBMNmwj8UomTbooSDjJVp6LiEY17FLqMGeqEPUlau00UatxHQK0aci3s5hjTIz1JltPNU7nAWByRA9hWtzLgXgA9dPaQhPYpr1BcZb3+7/Xkt2hBvzf8z+9FIIgwWR8QOOa05fB67Y2VRv+T37iPOjWTcwVtvCWNxJxy8iYo4qe5qMWVy0Yg8HZp5Gq0YJQ+XHnZya2H5I8iRVXN4ndxPNasTcV4zFXwrAdn2ULw0iV+3Zxly9g9/2KPeV5NATmaLEg4Y3hTmQbuBYQb/TCp6gvHsqd/Q8zGLhAfbLJbQYC9kYVbVgPoosJN93OoXzb8ea6SZ0KIsd637LmGnqNTlCMQgCXVlZFLa0kLHmBY6HHOwlvHU1oa3PAdBYUsz6adPY5cng1x/9qb9drHkjMW0Ypg5n6tZdnHbkFb4sHMvCiWNYViQR/bQYXVwZ1A5mql5Ft07N0Dnt9L9ycqviGWsx94GkpTCsGBPvV2eTuzNItvlTdEKEQDyN3pjy7AYlGZMoUGWQWJ3oKyxGuPM8tdjmhuATlCSqXLRWFzLBZOAPjg/5j2njoAts/jimKLSlC1grHsF/+DbkSBZebR8C8HFlH69NH0m07jSuaX2LaaJa30pjOUC8Tz0nfTyKVobMUV7emrwNx5F7qd36BTUH32R3scA78xawwX0ysgAVB2/k+pN+hl6nPIN/DZZg3zaR27NuR6NXieiSTj0XCR0vditlSiZZXuGQwcrFb56C3aTjyVMdSOkGwnNz2dweZcQqP/mxMEd1Eu9Os9GRPzgZOmAUKew8SsBagCxoeaHraQDS+yCklzAOKLvUYxVxBCT8rWMpeH0sd9KHUHOIA4v+gPfoRPKe8BC74hDZxWnAs0nfM3a7jS1ZHvx5toTYpToJWjTXiumLTGZE23DqvbTGangk0spt+uSwtCArIpTHYBaDaPe8A7MvGvTc/rsx5JkZwneCqqoqqquVWPWSJUsQByj+ms3mfuPmeO9MU1MTW7duRZZlvvxy8MKEJ4LTMZWc8f9AY1C9OpK+FIDZ1VksHpVL0UjV85JbWZ20f0ZhMcNmzE7pVxAEfn/+GGZXZ/HD+VVcPWUaBYmibr88cyThSXoKE/Vq4oFyBFlgQrdaCDSsCScZMgXWAoaNXcIR8xxC6edgmqek7kYavNwwp5zJJU4uCem5QdjLfLTMEtZjEtdg1z7HCv0aZGRkWaLt6Mfk6tMZ2x6k3OJg1LyFFNWOJVpYzmJhVdI5tGhNiESIxwVa3WpBOXvvKDKDMebUzsTsL8YQzEb0q+bHHq/yUv7cHKVJI7LBdyEHg7PZG6vhoC5O03G1aNx5VsWQSeAlwhxKeGcydL9kRtrzDO/6C/GeOip76jkt7mKUwYSjVyX+LgmPT+pTEETM036YRBwe+Pmgz0R1tICSuGKURLV9IEDE0oKQtpl47CgHEkZQi7GAlztU74vkUD9f9847zDjaSZmjixs073KabzV39DwMwFRR8VI8EzsVH2YM8TCCLNGrkYn6NvG5RwnZ9NgN5ER6+UGTGvZ806QUfmzNTS322ZmlznRDG59U12cn0rLNWlaWT6BpwOTA3rCDzK4uso/sRkRmescBmtd8QOnfMrBF9Ly34AI2jp7B0fzUWbQtKnPe0Qg/PqCE2NZmmFmZq/JWNmTpcFXtY6nmbwD0amxM2PoYdvchAomaSTNdw5jvmZzSN8ABs8i2coEeGwyT2tFnNeIwHEbXo4Q93DYB/YDyIHqH4mmwBJT3gS58EOQY91T9iDpTMUViF1drPqTSshpTwSuIBjWh4IE1f1YuUXaEdc4OwpogHodSj2h4s8DMI0vITKRyRdOb0VvUe6wznMEhncSG1TfDER05e6Kk90aY17OBg7pUYc1NfRfyc80/qIhpyPBJWIMJ/4kg0JCnJ6gTKIqJyBrhhIbMtH1BVo80cbBg8KQHY0zkWH6YJMDrM61Ej8tg8ndVJ875AJ5aJ+EaGT/JCs9zdgVoz8znaJ5yz8iCyHxZrakU1QiE7Ga+lMbhkc3s14ykPVDB1Zo1xLOM6NMVw1Y2iMQzDThy/OQXdvJIziN8rT7CfzOGPDND+E6g1Wq5+OKLT7i9rKyMjo4OGhoa+lO8fT4fzzzzTH+bExWyPBEslirMdoGqM2+jJOtlPnmij2EGG/W/mYWQqJimzyvAmp6Bv7eHqedcQDQU4oNHfwfAFQ8/kVRfaiDOGV/IOePVAWXNj6/o/3zEI/GTnT+Go9cRD1RQ46ohP6DOctrN6gv4nTPfocKR8P4kivrKkoxo1iIFYozXGXhh4Qi6n95NrWENaYIqEAiQzqnUaYbzlXY/xpGlXBSeiWGCldG3KAbAQw89hGRLDbF0CxnkZ8lEBvCRT3b8jkrjWvhJHex9F2HjHnb4z8ANaCwu4tpgvxAdwAtWsEanY/EU8YU5wj59hFhgBGcO+J6dGck1gnzAlfRxu/YVbtRspK9TT3TbdgBEZO6WthM71E1gwwacd9zOS5+8RZ2pl7zcVL5TlpyGTtYQFeLkJwjFH7ijxBCoCFZToBd5kTWENAonISbE6TQHwFRPtmcaR4nTbMqnT6N6saQE7+H1u35AyGLiV39+h/ZrypmnW5303dPEvTwfX8wOWfntRrkbcGssHHYU0uc9wvbOcZxVsYx0RxdRWeTcjs95KncpMZ0Oya9B1MDq2olM3qLyazz2NL48aRLzP/eS1d2d9H3HjJk8jY/tteNoN/m44JVX+7eftPyL/s9mg43uWICaBh81dLN3eBNvnnRqyvUD+PXOIDO61dDfmmwLggyXNEbpMgg0mgV8GQEcnYrnRrPZj91bz4Ttf0BbPAOcV5AvlnJ765V8mbYxRehwV4nIrhLI7ZWpaJNYM1LEfzCLA5Ee0GopikRpzFHdaBqLolezsL2Yd6o8iHIAbaSBmKGSWZP/TtvKOdyre5HRJgv3aDKwlP+RU/bP4Kq31UzDvuwYjTqRdtsRDLEawno7hoiHNG89ZeYy2rUx8jPUUHKzqxRQwqjPxAqY+Jc8eirCzBm+B/BynuN+dnT9goGZWgCHQjMAZTgv7Qyzu0QNwRzN0lLcEUNypqY3gxLWXDdCaS9KhZy/JjUVG2Dk3lf4zaVL2FmlVOreX6hjbL3Kowq6KpBiOrRGH1yq8BH3RUZxLCve4fWwcGsn91xRldSvmSC5/ibarUrWo5RuQHRF2CQN5/kxExi5RiC9ZwH5tTYac3ToNnUTG2FHtupoRwnjbl1WyMzbfs/XB6f/+zDkmRnC/0gcX/YgFArx1FNPJbXp6OhgxYoV/To14XCYd955h5deegmPx5PSpyAIOJ2KMmxIfBuNLkI4EGPbuseREvFlQRA45cZbmXnh5ZSPm8SwabOYedEVLP2PX5/QkPkmlKWVoTEdBSFGrgTDPQOKElrBPEIZPDOMGZTbU2fLgihgKFfCAF1P7qD7aYV42V5wB2/FZ/JFfCxbBMWjVEoTW7X1ZAldTBe+oFfoJtrehxyN4/P6CAQCFKOSjiNSNQcjdyEj0BtKVsHIT2Qb0bAa1j3RT/gEsHmqKawYT4OUTK59SpfOJkOUeq0yINbpZZZ5b2KH4xpiopGNmuSCjOfWreCio+tYmKOct685OYvJ+8EHBDYos3Pn3HmccuOtjL70jP4JYNSoDvIaRKYdCTC8O41ufw+b+mLHtGXZG4pzIBJCjg+iuSIIVOraGKHpoNFSSq+geCLOPPwVP/7kBf7j2ceImoxsHVHF4Sw7E/zbUrqo9R9GGMBmGN+6v78g4rNjT6fZV0Bf1IRJF+Zu0+Uc9aczYvVWTut+E1EjIgNfisPYPE71OvUlZAk8juQCnFsmjKfdqmgRpQsBshJev88XnJR6boDs76DIpZLHL/j8g/7PYky9fgvXrUoyZAC2OzSsydLweJWee2uNIAiscYztz6UKdKrXM96dzEl7+MORScu2gOpxaU8XWDNSGX5erjbRpdWii8u8sr+TzJgaSxENHUCcF6NnEwso94gutK9/+wZrOZ4GE2N2AbLMpJYZ3NKuGjKFM3vx6DQgCOzMWwmCgMuhDOTjd/wnJ7UeoNJ+hAtHqNWo/3PH95KO+92Kmfy09Lr+5ZmaPZyZcTf5uj3IGlWeYIt/af/ncwKvJPXx2iwb07LfRkof3CujO+BFv7ELwR8lqFOz5ffpYvzdGmJ/QktoX/l0Rh1u5uLljVz79htsKGunPkvLP2ZZ2VRpQBPTEexRJwx1VPM3g1qx3Z1m56uaZG2qaXva8O6swrVR21+A99hx/iLtKpYL49iRp6UhW0uTEEPT6FcKa1qTzZbHTvsPfv7yZ4Oe37eBIWNmCP8jcYw3093djc/n46OPPhqU9LtixQqOHlUK3H3yySds376duro6Xn311ZS2oISaADo6XseYqbx8D+/cTWur+vIpHjWGKWefjyCKCKLIlLPOo2T02P/yuQiCwNziGWiMjZysT84iuPPGO1lQvgCAGQUzTmgwGcodKeuyRpdya/QGvhe9gyfDiv5GKc34hRCn8CWz2IRB+x4A4UYfB5ZvT7RpAqAvtoDOyO8xSkrWVcSgutmNQgizJmEQ1q+CkId8/R6O0Q+tugy8OcOQj3MrRxFZYYqRkG2hVSuzyaZjZ8ZYYrERrIsni94trVvB5bs+IrPwEgLxOYRcg8/rBIMBfVkpNbPnM2rBAvRlygDfXflWUruePic9sbEcihbROiBc0S1t4Ku0NYT1gxPHjZZGpuiOYtHEkRHIiHj5/q53OW3tChZsWktbXh5yNERPmYk0kgXY1hjG4PnIRNymDlQam9hvzMSjAjIiB12K18bn0PDJ0fHorH4WSIqAoksyEeuVWF45GU+a4u2qL1PUaZuKVI2g3nQnh6qq6Iim45UMiAJodMpv0JOZybZxYwc9v4EwhUMIkvI76oNbGVGveCWWbk3ODPLp/PTpBGRB4PlyA5szFEd+lz6DQyaFUxTxqs59OdCDFFAH9+K6Jm5YphhHw3tjjGw8QV2BBKqbZTzb7DzcqfYhCFJ/infcUwpATpeaXbPTPI7W9U6CG+zcvvpKbnF5EHsUr4ajsg9bYYjn05TBu8VxALexE7dDDR/P2PUkd0/5Y//yr9ffRu9xgpIfl06lhSyCsmq4FerqWJzxK3qydtOgVXg0Pknxli2yP8Ip3tRB/SdTLwKnco/odvWiX6l6ZAVvBNEVQb+hi8tW+BCAoCCzzBKlXSvzviVKGJmurBps8mQqum2Mas3kinfvw9bn41C+nqNZym8R6FTP7z4hNYvrk0lqOHNYc4T5u/VsbHcgRCX06xTXrGTXI4twqHwYcrqRr6oN/H2ODf22XnT7PQgnyAZs1KRmgX1bGDJmhvA/EiaTidwEh6ChoYG9e1Wi35gxY5IIw59//jnPP/88W7du7V/X2trKhx9+yAsvvMCePXv61zudU/o/m7MUwyLQNYym5ufZvOUCvN6vz474r0CSJGb2zuQyuTdp/fuRGpq8MZZWL+UPc//AHZPuOGEfhork2XlIklm1uo1hEcVtvVEahiQLZOLie7xCCYrAn1VUzj18xE1Do5LOUSEr28KJqsZi4jUQ1wZwp2+nz3aYWVYTfXGlCjtbnoNgLwYxQFZOotJ0ppHV6xSj6McLk13WA+FHxC2bqG9o4oLIlbSQhZYYf9e8x1+1FuxSDKIBOu4+k5ZVOoJdyss+Z7w7qR85HKbxwouQ+hRDwn5yLj15z+LNX8vhUY/QdmQ5Xe636cxK5tNkdW1A71mGicmIg3lljkO2qAyEk1r3Jq3XRaNo+nwUmZXjOhrL6K8x+GHRHO664Y7+TCdZK/DH665n/aLxSXp0jd2KgX5+9buccdkbfK/iLfbvUzhY1fm7MGpCuCQTK+fOYdXsWTQXFWHNrWdDfhkr5s5h6/hxfDVL4U9NTGvBkqZ6VYyJ0Fk/lwZYNWEGoj2VIG8NBvjbL27DEAlz0WdHuGSbm9VfNjGhUgmNysSJ5D5H57R7+ZH8EKIc5/F9v+blnbczw6U8Y7Mm/51Jk1/hhjt+RcBgZMVCeGahSLxbeaakvi4QYszZJfOfbV08fNBFefvXGzOZHsXTMz4YZvnRZub1KWFkbSLUFA8oxmCUo1QeVQywL2U1+3DS6mfIObAa10ErMRHum53GmQW5vGdTOSitaXX9nhmAeFryMTX6khMTBuLkyIOEZdXY9vRakBFIsyTLK/S4svm87QbMG9p4Y8ct/eu9ehvxNGV/sTeCGIqjX9+Ffk1Hf41LISbziCPE4zUiT01K9lIe1Ulk+CSyvYqB2J05GqPtUWZvfpUvf3ARU/Yo16TDq3g/PcdxZY5Hbm+UUzf6ecauShAIgRimmB80ApJDj5zw0MTtehAFQicXEDq5gOiEzEH7nGaODrr+28CQMTOE/7EoS8xM6+rqiA1wPZ9yyiksXry4f7mpqWnQNO6NGzdy5MgRXn/99f51ZrOajWTOPmbMVNPnb8Dj2cyOndel9PP/Fy0tLezfk+yC3xPLoUeycONLWxEFkQUlC7Ab7CfoAbTZZrQZ6sutxaCl+ZCHs7TKi9qLlWZZecEU04aYGEazaEAiSviIh2ZvGwbC5KLMCMNSLRmXKZ6S2VElBh/Ve5mqc2LWaJOqMgNQNJXKGcr1c3QH2BVUXoIZlsFd58fQLTmoj5jZgULArRRamapZQ01MQ69NrYgd61AMCEGUcVYFyJ3oTuonuGMHrteU39L14tNIq5QK5u2eQramTSQzNxOE5FfaqD1/Z+a2jxDk5Jo6AGKMFBwTJqxNeFWOoXb3bnThECVpijHV2Gujy+cgIBr5LH06G2rHEc8xIQPxXBMIAu9OW4Kcpg5+U9bWJfW5e9fC/s/Z6U3MK/qKw1ImQbOZtvx8bOktjKtezflTnmND1gjqqqsJmRK8isZZDMtW07cdzi6ysurxOG2EswW8aWYeuuR7PHbepf1t9DVn48pXBrqiznYWbliNI1LG+DwB4wBvRHflO9SPXknM6GIyG5gT/Yri+Czm9m5mRJvqTWgy5bGvrIp3TzqJd2pEPpkoYj9H8Xxqs2Jos4chaiXmh4IUOkPMPhTD+DUyOadvlJBiIiGXjuy4xOSQcn+VWhRPjBTOQYqZiejh3M+UkPOW4lFIA7yZvQcVz8DOMoG1OQJH9HoYsH1f9nr6TBm0JgzPSJUaGlzdMgVpgGT/TzcmZ5UdlXP4fUwNJVEfQx8WkAweSIjWmfvaCe6PEQnXMO1QE909pv4yFACIAra+EPPiyrtH9EQQ/ak3YrC1jz5/8sU6YBncGNxbcyUA53+s1GnaYrSg6Yb9fSr5ftH6VZz6RTLPa/HWIA3EcA9IPji55AvGapQwajz/n6yzlAjzW0ISS85b/A2N//vwnRozpaWlCIKQ9HfXXXcltTl69Cinn346FouFzMxMbr75ZiKRrxeOGsL/DRzjzezevVvRutDrueOOOzAajZSVlXHJJZek7HN8Yctj8PuVGbcgCGi1DgCMjqPojAJS1EzYrbjyI5HOpFpR/3/R2NiYRFoGaJdsbI4pM8C6Tj+3v35iFeRjEASB7JvHkXv7RHJvn4gnQxnUJG+UT6+fwarb55FdXJ2yn1GIUGC4AKHtHLRSE3fzJwRBJiblEScLQ5UDgKp4HheEp3PdvIuZ9YuzMQ5PR+Y4l7GzlHELirn41nG49TJRIBOBOe80MgctZ43L5y+XqVlalRHl9dIbd9IlqX0VCN3oxCZy9ZcSMjsxOiMMW9pG+jDlN5JlZfxxVASoOK0DRHXACe9XjMJwXR2Hpas49P6DdO8+k5jWzHvtU5MOV4xH+pVyTcEu1ZhJ/Lxl9XWc+fY7SfvkiD4EpP4Q0UBc7dhChVmpKWU6HOPQxnx+w41M2bOPa1a9Rz4e8uf0ERvh6N/nGPcgv6+b8dtUhVhJSn71ptk7KbC24ZcN/CM0ljfCtYyuWQGAURthVM0XhAcMtKKspXf9Df3L6Tl1VA9by+jqzfTeGcb30z4eN17N7vEi1933OC/84Hfoq04mW6fOqH/42t849asXsTQnq1AHj1MsXtSwjU17ajm/+CWeH76Q4/HqnBJazSJWwUJwjx60AaR4HlqLieFLFeNHo5eZOquTn+w+k6s3PMSlm+/jynU387O3zuGxJ2P89dEYxYnDCHQq12xiQPE29ejdhGdmIGeZiAcU4/fZhW1kHb2MPr2L037/DNf89AGiGuX6bC8X+O35A4i2A1jIPmMPf5/wc+66UvFuhKuVm0Hcomfmow3YwmoIcWxXsvH55rK7Wbxmbf9yoNOANpqOLMaJaxTDqytTxhw6wPR193DnmkdxfOSmdIWOoi7VYxFwxbELIZYadrBYt48TQduaSHCwKu+0o9oTy+uGDA6MET8WXxN3P/Nrsn6jo2GHwqObu3kdt730FNb9zRia1aQJvzfMRwM8KQ5zjHOr3qMGhRsn5X2zMaP/qgPzDuWZ6DOK/PyrQcR8viV8556ZX/7yl7S1tfX/3XPPPf3b4vE4S5Ysoa+vj9WrV/PKK6/w5ptvctttt32HRzyEbwslJSUIgoCUiO8PGzYMs1l9wI4pBQ9EWVkZ5557bsr6w4cP09GhPHSja/+EXp/J6DFPUFClEFh7D52EHNcgxfQc2PYZnq5/LVPqRHjnnXdS1q2OliYVfXx9SzMHOwZX9x0I0aBFm2FCcBhoO6ISnHu2d1PkNGE845Gk9tHE4KcRImQJ3VyAWn03LNeQftFwRL0Gy7Q8BAScmenkTa9E0Gkwj1G8KB7rnWqH8+5GEAXiXX28lah0PA4NAgL3Y2ZJZhonlWUwK9/OOFnDpHDiJSybkrKe7tYpacla0U2supDieT2IWpmccQk+iyzgOmRGEEBvjWPOGjAQbNlCpLkF76btdORMJhZMh+MK4AlSFF3ER1n9sv51Rc1fYjd5MJk8JBLX6MnIxBgOM2z/fmwJPpZOkFji3YpBJ3Gk4jT2DFcGT40xTqjQTAQtMTQE/Ha+nDMfrSSR0edFK0ss2LuZpZrXGC1s7//eeIEZIxHOOrQKQRYwfqzwN9rbVZJmTs4hdLoIEy07cYS8jOisx2jsQxxgxI3L2c1auYCYpMPmVrRUNJIBQzAbAyIORztRfza+I/OQTSCkRdET4V5+RnO2iX/UFCAIIvphS/r71MeiaKUY8hpV8yZkayBoP5J0PTPtncQdXWwtsxMTUzlNPvMITFoH9zZcixyMQcwMYUivUg0DSbYQ1+rxBiahkwxYo06MVNBnryLHDY4+kATlfvF0WAlJNnIOabEGZSI60GibyRdc/aGmY7B3/Z6gXuRwUSl7y5Tw0cPnHDesJTwPoqQhpOtDK+kJGQR+d45IKMFHd2yUyPe5eP6z31DpbmZR4wZs0SA/X/8s5miI87yfEDJoMHZE6GvX42810GichhBWvitgaSEuhomY29hVW4sx7EInx8nxu1mrc1LerE7Axd4wX0QrMRLDJ6veVt0JbJVwrfKO6ovFCSXOxWdUDbQuUeJQyUJkBMbufByPxUanOYvt5QoBe/aOrWwsG8XykolQ50HjjzJpdx/LLJGkTOqaiJawq5gaEmH5Yw9KZPCyL2J7EDEQI94jIbjCEI5j0393CdLfeWq2zWbr50Ycj08//ZS9e/fS1NTUL3//yCOPcOWVV3L//feTlvb1McEh/O+G0WgkLy+P1lYlJn0s7HQMoihiMpkIBlXdh7y8PGpra/F6vXz2mUrCe/tt5YV9/vnnU1MzhVkzlQyZgmFHadjVg7dhOlqDl1jIzsFGLbCeC382mYz8/3+ENp9PNVKuv/56HlzZjn97ak2cRX9Yxcrb51KS8c2FNTsbfMQi6ptv6ydHMacZGHPSCJovXUPhi0qK6EfSNM7QqK7lLFTOjuXUBZAwWJxnVuI8Mzll+lj2lK9nFraf34FoVF8VD6w5wopEntD4Aa+QEZ+14m4K8VhFPv7WFj6WI+hk6BNE+mTlvF5eNBLjZ+lgUHg7i3P+mPS9WlOccMhA2p8P4bujFlt2D5bsMHLBNII7dhBtbubwggW4MwavyA4gizo8hfXsLxyHtEFPWeNHFLauIi36Bf5JEmtWXQDocTsdhPV6ihpDjN3+EatnzqClsJDMbJkPT12Co3csl931c5oeuYfQ0Q28zMmMYzd6KcKGheNTvtcUizD88EHGDtvGJSglISbX7+a37zwEwKGyfJrcd7LrvQZyHMo9kJVVT/Wwdcgy6OwRHi+8l4yndQTkOO5Zyf1fbejE1zQtaV2aZzjZZa+i0cTxdg4j0JVaXuNG/sjD2p8CIJozsJ76B/wfqtWg5bCPqNbDkXm39A/8AJ1dY8nO2o45+yAjF/2UWxjFb/hFUt+CJCNpM3m87gHyQ8keTZ1O9fh4Y+dxRD+JiCY5k+a0yrtp3l6AIeKhJX8GRS0r6esy8eWBsyjd8R41+TIbhwnoQnuZ0iLxnjU5208T78HqegF/xrXsqBpB7aH9RHSpJHpnIBdT1EarvQ5Dz0x8he/SOUxCylIkdfWHlH3MsTCPrfgjAEcz0ujNCXOmt5uCqV669tlJ7wtxdEUmnZlj2T18EWLvG5AxjpCllVCCO9Nrc/R/70FHIZ1amZ6AB1CeAbE3jE82siFSQVxQQ0xREcLTshBdEXT71cmKnKZDsmgR+2I0aWJUxXS8Od1KU5aO0evdHPQEmVg+g2sDvRQ1L+cHdz5IfUFx4veR+GT4ZDbMmETa4Q6EQzF0azrZnayTB8DaGHg2Xc35c5/EaezBJSgZc+iVyYIYj2P5op2oBI8N/wv6wn38UHiYSEyLYWM3sgg/vHJ0yrX/tvCde2YefPBBMjIyGDt2LPfff39SCGndunWMGjWq35ABOPnkkwmHw2wZoMcwhP+7GFj24PgSCACXX345w4YNY8GCBdTW1jJjhjKQT548mTFjxjByZHJ66AcffJC0XFCtiqv1HliMt1EdLN58cAuhvv86oW3t2rX9XJ+KghrSHZnce1oNp4zK5e9XT+ala6YktX9/Ryst7iBvbmlmZ7ObBz/ez9rDyfoiob4onz+nzJyMFnWWvPp1xSVeUF7DuoKreTR2FodLzh/8wLJrYOJVX3vscYuOD61wRI5z/+MbeH3TUWRZZt3hbt7sVQ208cfNh0L7ewkdUIymHK1IQUx9xaTJcba9doTlnh+e8Hv7aoYTuPJnHNnnx3D6jQBYigQKfv8IplGqATOQxHk8QoZO+oR2fFI3rgGZK2nvaxH/lMPsL9Zg83hBENg+ei4bJ8+h1+kko2vAtRYgbOih5aCLzCtO5uNRStHAbYxig5hqyBxD+hsGPA1p3OL6PTO3b+K2lxRuR9ispWn6VDRp3eQ6VGPW7lC8hcdoHeFxMv5ZMfzzldmwVK+GhayZivtfEwvicKl8GXOWEhYKdA0jHk6d4I1jCwY5yC2jFS+AoE81mAMNrxF164jF9PyDy1jHDP4i30wkqD4fI9mNRfYxUt7JBfKLlMj1WMISJrmPraUriQph6rJb+HvtDh6s0PGJpZwXneezzziJPuk0vB6FnGzrO0qpuJ4zMn5NU/4tBA3ptGdP4kjZGUS1ZrTxMKU7lCy8mkQGlD68nwmHD1DUGSfSkyxcaepbhS64kxXjKnnmFHWsiLrVkGe+t5ICj3LPpJn3UtA2jcvtyr2paxIgmDwUysDm4dW0WytoMhXxTP2pLM8f2799y4ThNJn3kqdLreLeZ7fhsWTw5Zhp/GLRtQDkBlyMOXqQ9EMdCIlSGnWyg/aEx9KQmByIvRHihRaMRmWCFhmneGWO6R3tzA6iiW2iOZFZ1pTYr04X51DlOfzt7F9R2p2J47AfIhLpHhebc4chdgQJ5NuZGFf4MIPUYgVgj2hntzimP9Q0EFpJ4scbX+IMaTnm4j1oRYk8QR2vBQnWLvsgZb9vC9+pZ+ZHP/oR48ePx+l0snHjRu6++27q6+t5+mlFwrm9vT0pawXA6XSi1+tpb28frEtA0RsJh1WG9r9ax2cI/3NQXl7O2rVrcTgcOJ3OlO15eXlcdFGqfLZOp+Pss88mGAwmZTPFYjFkWe5Pgc4oPLHnJRqO8/lzezntptQaLd+EgwcP8umnnwJg1afj3ZLJKu1BFl41kicvVV+y9ywZwa8/UOLmu1u8vL5lPY09aojryRWH2fQfC8hKpP1+9swevN0Kl2DMgiI2vKuGBGKROFq9hmnX/p5pQDwWg1/fnHRcPsxYrvsK8QTcomN45LMD/MWfeG66gTfd9ASi/PajZD7FR9MzmL+2m/IBAmKxTuVFXHl2JcXv7KUh4T8viSgvZL+UxUtdj3NJ1k0p36sr0LGmPgOe2cOiCxdRxS8xOUKQbsM8ZQrBRJX1gem1x8OX4HzENUF8mclhidzdyuCT3dmJz55GQ6UT8PDZyYuYX1UFdSpPIqp303LAzZcdnwInJmcPRLcxh77X+igobOHM1b/vX79+zhQ64zpyyj9C7Ckmnqh7Zbd3JHcggPci1esWyxTo/OomCmc9ji1jJ21ARu8+Ru59hi/nPoGo92N0KvpAgU7FK+NvHY01PznN+qq92ynplGgbtZ683dchFA9DPqrKBIibN/H0hFtZPVbNDsrRx9gnj2QMqnfvhzxCLUrG3xm8zXXCq1zP41QVb+SgdIje0v1MppOf8wCvVyoE8kpfjLc27SZYMgG2d5HVsZXSTZ/hB4w8jRGoTx9GXGvE7agiq1vlkGX0ZQIudOED1ByJMFZXwrv2U1m43s7KJWrY1NH1O/zAZ2MT181fRajtPERTExpDJ4WeavwoY0KbrZWn0zfRlabcj/qDAtkjPXTvUQ3BPq2BOwqWsVEewSXRRRCzsDJ3KjdqPqY+q5CHzjoTcyjMqcs+Jk4DhylVf0IB3l98B88sULwjhk9byBe9jKzvYIxFz2uo75MAekQkajRdbIvnIfaGMdt9BLU2BGL9oR4p3QDNAZoFDd8v/A1PRifQoc8gEIwiAB6NjEeQKHalU+wKMUKU+GswSk+JDeMhxUMWmZjJ6lNPQ7uzF21bqorxMRwKVlOr38ka5mCMSIQSlbVn7DrMnJ6tDFusTvD0YW1MyrDCAAB2qElEQVRSqZCPm+CG4zv8lvBv98zcd999KaTe4/82b1aKpf34xz9mzpw5jB49mmuuuYY///nPPPPMM/T0DNQZSDUhBw5Gg+GBBx7Abrf3/xUN0GkYwv8uVFRUsGTJEpYuXfpfEq0zmZILoYXD4aT7SxQFzr5t3PG79aNxd88Jt30dDh5UZ85Rj2I4HNzQQd3m5MHrqhllnFqrhFnXHelJMmSOYUO9cgyyLHN0rxoqKhuTyZIbVLfuaw9sJjogvq3Rankn+xbeYwEeQRmM18eHc2AQPlCbJ8g5f1rDhX9dx+ubm/jLyiMpbY43ZG6YW8Hzaxu5nQC9pclGoTbTROGYLIpiqpFTNMBL444n13npSzsFgJHmz7ky63uUGjby6StddBumgBSFv8zGPEE516jWhM86+DMtZixXFwTotjeydurZKe2yOztT1h3sS9aPiel9dDb/HZc8uCFTdPQo85Z/Qe3OnVTUKdWUO7OzyfH0MXG16n2pLy2l3a4Qvjs6K/oNmerqNZjNXz/R0tu6yIpsBAnE9D6Gn38t2ZUvIADj9/yWipMVjqHkdWDoWUvloTdp3fg9unadifis6pWcVfMwuSVvEUhXfkPLqB+gH3Em2jz13p++M9nb3eHUstmc7Nk8Zsgcw+mGfzAJRWlWW7qKbJTrOoodVMn7uVL+K83WKHX6F/AFnwfA6U4m1gJYPQrh2pNWmrS+PWs0kmhDkCM0ZcX6s8x2ZFby09eyTnjd4qF8nHEItV5AqP10lkerGCXuQhvXEdT1sTNXzcAz1InYCkNk1nppGZ7DQ5deS9RkIO4RmSAeRI8yeFfrWyic2cuhxYqBHDAa2DdcoMuxihbzeroMDehDmfTpDf2GDEB4UQHe6kxkYJOrEM1x+QVZgp8CjfJca7pCCId0CIkMJ7FbMcCOEcnDfSIPxC/i/PVvof+qA2FAuHmdMcbnpggRZDIkkWmNUXSHVS+qfnM3xk+bkwwZWScQzzGSpVfv/aN1uUyTv+IS+Xl+3P0C13e/ztVty1i8pZdIZfLBa/qSyeOzB2eMfCv4txszN910E/v27fvav1GjBo93T52qZCMcOqS8GHJzc1M8MC6Xi2g0muKxGYi7774bj8fT/9fU1PRvOrshfNsQBIFJkyalFKb8VzB9+vSk5ePTuPOrnIxbpL58CicvB0E1CrzdJ57FnAhtbW39n40B9Qn/9Ok9xOPqC0gjCvznheMw6zV4goOHtNYd7kk5Do1WJD3PQunoTKonK8+Cq62PLR8ln1vJtLPYSi29WUpIa7k0vr+/gbjp5W1sPepm/ZFebn9jZ8r24zEeDX9aoQwsHcjkXVKD8zzVW2KosGNLN1JhM2KVQCtDSWwgUVfgYDARLjjtj1hu+Gv/FovGxRLnA4DMm80Jsn/PISwBRaLfba8EQUA8TjZmpu0ZKsTtSetieh9NpXoOVSZ7aI43ZjSaCM2tqVymeu3gGR01u/cwfe06sru6qNm7j+KEcGNXdhb5XnVgiGk0bJw6JWV/u70dYzgLf9uJuT8ArsM22nsa0A043NjiPsJ5Mv7T69GYlO8q8rcRCW8lp20lWn8c1+6FpO9ow/E39ZrryxqIGXuJ6bwIejOGYUvQVy3q317RfDTl+3cy9muP73TeGXR9Dbu5j/9gIZ9wNU8SmtFIxph3MJoasflSv8fqV659d4ZqnPst+eyoriFqUFi6e0oEJctMlmlKy6Gk2celywcnp8Z8o5kW0iGFCoi6ZuDSCDwZO5uSPsUAOhRSr4uxQcZgj5E10s/fLj2fj2bM57WTltDZYccoRBkrKOPRNHEv1rwwWysSv5kc409pUZ5zWlif08Kq/C1IMSNfDJ+Qcjw7iqo4kplPu2RjTlDH7KDqGS2Qo1i1argm0qtGFcTeME5fBAwaJIsWAfhL9HSeCi1BDCaf+y5DnG2GOGsT1Sjn+rVktIaT2hwfX4pMzkKutbNYs49xWsXD19NrodWXy6m8z6i895md8Qrzc58jnJ5JaJhqzOzZWMtRS7IC+Hk3Xply7t8W/u1hpszMTDIzBxfU+SZs26bE8/Ly8gCYNm0a999/P21tbf3rPv30UwwGAxMmpN4wx2AwGDAYvl77Ygj/72D+/PlUVFTQ2NjIqlWrWLZsGQaDgdpatahkwTAn2z5VXrIF1Q70Wf9B46f3E49q+Ps967jkl1Npdz1AJNzFqFGPIQ6S1XEM4XC4n7Rsc49AH3UkbX/nka0YLDpOua4WjU5EpxGZWJrOqoNdg/QG2w5288aDm4knpMb1Rg0X3Du531OVVWzj4EbF49M+IMsJYOzYsTgcDvKzHLz32ce8ssHGoiM9fG9mMpl6S2Nq7P9EOA0d9SS/SLNsBmLlqgfjGIH4/DsnUbmzg3BcYteqz/GEQiDEsbtqWeH9Po5Tv0/2hFOTtECO4cbcc2gMj+NP7W8go2HYZ6s5MPeJ/u2SHAO0TEv7G1mawxTqd+NuNxMNhImf72LrltPVazhuHO05uYiyxJjqavrynsbc4SYQcAAQ/wZBPSdutO6xdDkagGRjSBZlMnp60CATMpnos1hI8yoz4o1LUg0ZAIejnbhUjUaopjj/Ujq2r6PY+xJ1laqHy9sl0LQyjzgSmlAnA03dfbfGyB6gO2LoBb9oRBIFxm99BEnUoY/6EQ+KcNxvFdf1oY0qIRVNegW/+96Puf3ZP1DZ3IC1z8/Uvnrqsiw0CuV0C9ncJT/CpTzHqASPQoiA8y9aokUyvrMGNyaq5QP9BNPprOlfn5G2FlFOTdvxORU+S49xP9+753dc9GUjX46vZV1NGkZfH4bgJj4bK/LKnCg27gbgUsOPuG/9UxwrvngMgaNXYwgXItq3Yi5cQbDlEuRoOn2Y6AuWQlorb7r1mESZU38nYrWHEESIoWG9XTGmvpqwiCr3TOYHHuXnRkVvJl3wISGw2q54s7SRVO9ln+Y9Wpy/HPSadKY5mdtnYVRUS5tGggTfJYZMhyPj+NMAQPRFuWi5jw5TCx/iTMqCPAZZLyZ5aJq1cY7FfqqjGo4Qp0+QOSmoIw5KOrYAWlEiZNGS5+pEI8vUBpyURvS8Z4ngCduB5PImmpP+RH39OYRXFuIKp3GgL5PAcdo3aze3UDI3Ncv028B3RgBet24df/jDH9i+fTv19fW89tprXH/99ZxxxhkUFyuz5EWLFlFTU8Nll13Gtm3bWL58OT/5yU+49tprhzKZhvBPQ6vVUlFRQXm5mgnx5ptv9n+ORqPkJTwJGYVWiipr0Vt6yBqxsb/Nypd30dLyMl3dn+Hxbh/0e2LROLIkc/SoQpYVY0aMIWUmaDCr84b2I14ad/VwdJ8aMppanjzDseg1vH/TTASgqCVKR72X7iZFh2X0/CLSMtTwWdUk1UvZ3eQnHlVebPGohCwrWWAGq5OiCYsBgQ31vUgD5Mg7vaFBz8dhVl6I91fmMXfAvOdS9BwYUIfojsUKV0PrNKIvS0O06jBUKvwmq9PA7DnFLJxfSmFNGhFjNxG9C4MdTBlO0qctVg2ZU36Xcgwlhm0U6nehIcKBwMykbXJUmV2X6zdQZNiNIMikZQYwX34Ei8VNXp7KCZE0GlqKCpGnT2fiXXdRvegh7I7BeXeZmRkp62x92cihAjRRM5qonsxE4ce+mXH65ktoJImMiBIy6shO/B4FBbRpalL6ArBZPCw4/YecceH3qCg7g5k9ayluDZHfpv4WGwMC0biIENXh25L8vss+bhDxNykepJ1FWZhD3VgDimdQ6xLQHU5+zbcPf7H/8z/SRT6aMAmPNQdRlpm2ey8z94S4AlUbaWHsY0bFVUKobrcW4z4R6+ciwiC3jiQL6ISoUvniOGejOXcPkl5OqhIP4C1SJqcPX3wO9QWF/OmsiayrUc45alSuYY892eA15r/KB7lnUdAFuhjIso6Ybzjxvip8+SZ2FnyOxtSCzrG5f5/DQZWv8mKvAW2ngDFbIioZ2GapwadVjMnWdANBvcBn/psZKTYyUmwkT+hll2U4Pp0VZAl9KFklGmC/zQ1SpF9EbyA6rPmMimqJiZAlCaTHBQSgQ9DT6sgkMiaZE3jsCnVKcVrD2YMaMpAQaRz4PRqZCDJxZDYaY3RrZApiIhVRDcOiGoyJjjV2pWZVvrsbIa4jJ5BJZUxDYUzknUOphUiLjD24Di4i0FGDwV3I6KgRswRViXstOtLBDs3gxu23ge+MAGwwGHj11Vf5xS9+QTgcpqSkhGuvvZY77lAl3TUaDR988AE33HADM2bMwGQycfHFF/Pwww9/V4c9hP/FKCgoSFoOBAJ4PB6efvppJk+ezMW/WICAQFx2A6BN28Sx0tW9bT6sCQ+427Uep2NSUl+9rX28/sAmhk/LI5ypCEfpEyJttXMKmHlBNVs/bmTDe+psrv2wh7LRihdzWrk6gH5+6xzyHUbMei2n6ywMiyS/GAuqHUnLFruBa34/i2d/sppwIMaff7iCC++dzFsPb6W4Jp2Tr1Xc4rUFdiyJcNa+di8j85XjW3dECTtVZVup61QMpllVmTx/1WT6IjE63SFsf3RzJyb0wGJ8/QUcL55SzPdnqzOxrKtrQZYRdKnVgbOzs5WyFALYxnVz7rnnoh3YbvK1yLXnIb9zE+JBVSPmjHQlHfjV7kfojqkGqYCAVvRh17RB5UJo2oAGL/PW9LBqWjoVlZuY9Pfd6FwyxupqCl9+CZ1OMdDy8s5hwvg8lrV+knSM06a/gijGWbQbXnarooytOgPFhdsI9eTjtx/is5N+ysgJ25l30T20f/QX/J8/R2ZzM53ldrqysxje28uhH99CLMEP1IXTkC1uYjERrVbL4lPexmpz0PG739H7wt8Zca5yzzjdUVrzjIiSzLqIjomOMHm9RvZ0F6D7aw6mogDlp7QkHfPc1d185lFCfKGaCu4++RIeeFJ5R66sLmTq4y30/EEJN2gjsGPV99kdDwMiRg/cfjSM31aF3d/BJcu3c6TqTKpiR3haewkEBEp/FSOWpaXn1hgH332Eyj0fAl8hSAL6wwKvjzyTFor4AY8RQccOYRyT2IjtPQ3Wz0W6fxIjWqqMoJphHbT/EYxrtKS/pBgnXlsxvcZSIgNGI7dV9azHtfnIMQuCNpnTJBo62JA3GnpquGbFe2zIH8Gu9ESo0xbEJSjeyonWT1jbpYTTpGByuLo+M5sv7D+HTljrVDVfZFHg4bOdWIISZ28upkg6SmtkBI+kKde1JNSGO5TMIQM4VOQis/la4qbFnLvPgiwI9GkyeWX6NDrsZtocMV6Yn4YuLtOnF0CGkRusbLRLSGlmhcS/L8GjEgAZllm+PqNSezT5ukgC/Kcj2co8pJf4T33yOn+uYizu6kzHEDQyJ7G+KCay2lfEvWvu5lcz1NpOge5U0n1RTMPo9j3cVl2IoUFmxskFKW2+LXxnnpnx48ezfv163G43wWCQ/fv3c9999yWJogEUFxezbNkyAoEAPT09PPbYY0MhpCH8l6DT6Zg9W03rXLVqFbt37yYej7Njxw5c7l68fg96fTpWyzDMOftIy1YMiaAX4lEjgYCN5ubNtLa24vf7adrfy+Ftnbz/2HZiUYndq1r6OTm6hET8pNPKEEWBsjHJ4deWg2pop7bAzskjczhnXAEVWRbMCfGpYV2pM7x6OZbkWTnc5aczFMU2oNzBR3/ZRSQY49CWTg5uasfV3odWIzKpTPEADeTNrE8YM3Oqs3jo3NEMz7Xxm7Nr0YgCaUYdf/7qCA8SogOJhwgRBYbn2hhTaOfWhdWIojpjFrTioIYMKOnyx7Bv/17cnuNCW4KAYHYiLnkQBgnjneH8Odm6AzDAK5SrO6g4dsrnIjlVUnDV4T7Ma8HUHcNoCJM5Lg1TsC1JIXr06AlkZakk0urqNaRFguR3Bqh2dzKGAVlweh9i5l78doU/4cmoA/lc2tpcOEqqiOg1GHsUTlNndjYR0cjGzapHQNKFicVEMjMzGT16NNGYTFdXF8HPX8NoUwcjZ7QYu19L9n49d64tJGBSeVJRWYuvOZloHQstQCNBU0AxTOfLm9g4cixrRo/nYF4uOX1+0kwRxu30YA7EGLvHTYXxSyRZICaDKIMhBi6nMlAVtqwmvXM/cocNEyGc+0NoPAKGQyLutQuQwmk4XKo6srgjnf2tS9jCJPYzgg84k52MAxnMG0QEScC0WcR7IAvDHqH/pwvNiOGxKJozIWMGYshDh03hjVgCfUzbuYXKJkUxueRwHwY5lfAtCDKC1guylqdHncOu9BGABkGQqAp81d9un0HLRdp/kBs9AGiId8/r3/bgORXsz9dwMF/HpmplXNHG1GerzyTybNbF/KHwCn6nf4gN1YoXpEUTRR9W7o+ovpyoQR3oBSS0wQ/RyHF0UpyCAxtx+ILIosDTJ9uJ6AT6jKKSqaQR+HC6ne40xSsTK7ASzzAQK7ZwnPMqBSmbTf/acH6MVBz3SqRFVP2fshiUiT209uWxumUKdS5lAnEsW24gimMiRk0XdYefRtO7DU+04V86hn8nBPnfqd3+PxRerxe73Y7H4xkKTw2BZcuW9WfUHQ+dTsedd97J4SP309z8AgUFl7Lp7yfj7Q6RO/1xdh1RCYpOWxbauhFJ+0tCjN6cdcjIZPZM5fpHFqJLiE7Jksyfbviyv60gClzz+1nojYM7SP2uMH+7e03K+t85gvz89BqumlFGjz/M7Ie+xGLQ8pvCfA6sO7FkwVUPzeTv25p44KP9LBiRw9NXTARg3sMrqO/u45krJnLSiFRi/UV/Xd/vvTmG1XfOo9D5T9ZuGYBoNMr999/fv3zHHXekTGD60bEHnlTJ2zv6TmO17+qkJpOtLzPJ+jqRq94huukJLLtVocTOnTZ69lkZfl6bWrLpp60wiM5KKNTK5i+nM3NDsoH1AD8gjDGlPUC2NIpOcTe17MPdZaUpqwgxHkfSaMhtTqO9UM1UqqmpSSqWCpCOi5t5vn+5m1y6XlEONO+BBzCPH8f6c89mU4Wa+ZWeX0jhqZ8hakCus1HwhzBSrsTHOVWISFxXupUzl65kt18xgj7bfDW1fYdSjr0z/DDvuiuIJN7+uoiHWWt/2r89ZtPQ+WAQ+6saLCuV+3fvsEvpyRjFrLVqyRm/rYTdk+7g7vMUI1mMy+SIrfyh42ZyfpHKQ/KeHsN/ioQQhOzbjWgk1TCtK6nlurt+ygNPPMjU3dsB+PsZ/8GC8+exve0xnutVNEw+2vcnflR2JweNPoItFxLzju3vwxCL8OOmtzmYu4XPxg8yuO+6DZ82C0POe+jTldIEfseFBNNUZeRp+4KsG2FK3TcBMdZFRuutAEiijZ6CJ0AQcLbdjTaq8kwu3vozDJ1vI0tePp5zNrtGnJjnCWCIhAnrFQOjtD1C1/YO4sfVGjNmGAn1KB4WbaaRWLfqbVnSp+ODb/DiHIOsFwnPzYW4jHF5G1d5DWQmSmzISHRnr+XLWBmNkvK7PrPoZuo/+RlhT7JR2SvGMfY82l8LrmJGPmfd/Ff+nfhnx+/vXDRvCEP4tnG8kvBARKNRWltbcTqVzDqXaz1peQqZt3HLhUltXb4uPI7dhA2q2FpU70FGRhMz4sjy0975Un+tJ0EUWHz9KMbML8LqNCBLMh//ZVc/sfd4DPTcfGqKsFMf40Wr8vL6xft72dXsYd2RHvoicTp9YdKmZSVxc47Hxi/+xEjTQ8wt/IoN9d3EJZl2T4j67j5EQaY2V+nb59tDc8vLyLJMOBZHF/mICns9c6qzuHPxcO5ZMuK/ZMiAYiwOTLFvbPyaWi7ZNTBPST3ujJanGDIZ2nrGWd4FoDm2k01pW/o1MQCyR/swF5mSa09+cg80rIYdr6jr4lGM296mNpgqhjdp2McnPLxOUeGR7GIETVnKS15K1AfqylGzU0oOa8ju7U3ZfxjJBNIDFPQXTez6/e/RFReT6Q9S3ulCG4uzaOFpnHXnz6h7p5Se/XZ2r83Fa9TTkhDKyzX5sJiCPLXpA5bmODnHKg1qyACk6x/kJNtm7OEO8mNdxI4z8LS+OIZ/ZKM/qP5WNQdepLru1aR2Fl8ji82/43ufeRh7JExpR5Q2oYC9+5LDsMeQ9r5yf+oPC0mGDEBV4y4WbPiq35ABuOy9+8k52sg5G8Ms3Cpxz6sS0eZNjOpSBPgMFjXNW9R3YHCuZtbOTewtVo7b4U+eqxdmP8oIVx21DSq3w+p+BV2PGjKaXDc4hwxAkII4On7Tvyxp7P2cr5guOcTSmlaHLCkGbVFrKln4eBwzZAAW7ttCuaSEEwVZRi/DaX06ZrWr1yynM8iMtm39y2vMCoPY0B8EVjAuJKI/zmWh0YogCDy57T7MEv2GTJ8gIyByOFjJKE0bQsKV9sf1t/QbMkcFF5HgRmRk0iUNWv1wRJ1C4C6pncx3hSFjZgj/z6GkpORrtzc0NOB0TAYEAoFDxM1vAYqI2vGIGHvxOvcSF8OJNko2kS7iQOtYw8GDv6C9/Z3+9hXjspl5fhVFI5QZT9M+F5s/bBj0OI4ZM2MXFvPa7xbyiTlKm1Z9K53++OqkcNGmFg+X/HJqSj/9/dX1EvZ/zmU1rzPMvom9rd7+EFOx7ShtTYrHZOOmMzhw4F46Ot5j84FPuaLmRX465Q88d+UEfjC3gmtmlZ/wO/4ZTJmiZvgMVu28H4IAc27nAcNdvN7zSMrm8zLuQCtE8Fo11Dc+Slwrsn6iI6lNyT0XJ++05Vl46Xx4+3poTnjnVj0Mn/wU+87lSU33DLMi5Pg455yT/pXTAyCuUwZEi6+MkqOHMD77XEqbQtqSluspwu1Qjl9KiH5apk5leFsvF4yZTu0138cSijB2XQ9NK/OJh7SsHlZEr1UxLPN0ijdG9/ajPOhp5RopVc/lGLRCF+Xm+/nzUjMnX+tntPkDOjPHJrXJ+MqNri15iMjp2pa0LADhDfu5Qf4pp2/qo6pd8Qxkbj6xnMHLkcsxHBx86PmP5/+Usi768H8gffY+134iMfqIRGjzU1StV3ScSi3rWSAo+jjmsseQCz/l1VkiLZkCgixzxvpkg6k5J0qt7inuXJns8XT03Q+SRF5vjLTgiYMV1t7n0MTVyUvEPEP9bEo2hptt24knYkXFrfUcD7unl+zuVDmACzd+hkbsYIZF8bLKgsBVrjgjolqqAyJiIjx4z8pHuWP3B0xIpJm7BSU0O1HbxFl6VQ/oe3s/5t13f8JH7/wEa+LUskx6Xth9N2cHVnKfrPDGOkWJI7qEkRfJ4OPocJYalH5C3Uq5E5coURDxIYVWI8eUjD695RT01tMRxHQqR/w/WjV7CEP4LmC1WrnssstOuH3v3r288MJbrF93IX6/E3OWkhUT0XtOuE/eOA3zLx/Rb/DoIg7M2cp+vb2rU9rnVqhpzAc3daRsB2g5qPRVUO3AoNXw5g+mceX00qQ2L21QNTvWH+nBZNWTUaDMsnMqJXInvIDJoZB6B8a8R6QfZPvhFXywWSHaDk+vw+Vax85dP+hvs2fvrYQ6VJXeQGDwWf6/igULFvSXpqivP8L2Hdfw5YoaXK4NSe1kWWb1mwfRdSW7tkebl3Fu+l1oEnVtdoxUXc9xrUjsstfVxl/8OvUAogmOypEVyv/dbyZvzx5J8OSfopvwfcaMfprq6mQvw8QJJy5ncDx0ETtOdx1pKSrkMqXHpb4epYDPTl6E32pB8no5evkV5D/0ILk//xnZdyqJEX2bNmEPJmuHdKYpxkyOTvF6OCv6MH52AeM/ui6pXfeeVLXrv1mb0W18k2m2F+kdM4/6ktTBqM+U/bXnGOwyEvi4C0uwlQmHwtzyxt8YWX9iQyp+xNLv8YnbvpnlYOhtJ+xO5lCNaJIRJDiq02EqfJGL5TcRROV+eHuGMqyVdsDkg6n9rxgtYA3BvS8nZ96U7DvCr/QOpi1O52XdTnJb/4guuAtt6AD29l9h63oUY2Bdf/uqjkJi5pP7l8PmaXgzrkfUK8Tx7owm2soMbK10EaObpcueZ+TuzVR9sZkJm1dx4Sd/4cyPX8Lmcycdhz2ocqiuNG5ivLaJlgRP1CCGmS22Mlxw0VJTiBwNUBHwJ+2fK3pxiCFO0h3kJtdrFLWrz9XpgQ5ODui49LBEWnMez3U+Q5fvLAA25a9kzYTb+PO0HxFPX4tR0qD31HAmTcyUlXdfmy5MUF+E1jSb44s7GexXUr/6X9fk+ndhyJgZwv+TqKioYOzYsQBccMEFWK3qi769vZ2mpiaiUS27di5EZ3ajddQT1/WdoDfQZwcpGCkS0yovFl3EjilDIUr6/KkpnCWj1OylkD+aROgF8PWG8HYFEUSB/EoHABNK0rnvjJGcO35wAcHNDS4iMYnysQlSq/0lHBVfUTj3PwCJiC+PWFAxokrtR8mP38r2VoUPMsx5iHg8QFfXpyc8R5dr/Qm3/SvQarUsXboUgM7OLtrb1yBJYbZuS/aidDf72fFZM6aAyhnJMG1nVtoz5OoVQzF2xdtEDCrh2OmcjrZiEYxODgky96ekoOErkCQ4TsWUqz/FNO1OqqvvJTNzHkaDgTJR8aJcP6+Mqc5/XpPH6u3FGHYhAOWHVeJsNj1YUF/8hykmgsIxWbdwIQCBTZvoW70G50UXISYGs8CGjYgy5LrVASyq1SBqNBSepFSLt+RG0EjJhncELa7DFhqWJ6edl3dsRGheh0aIMb26hfqy09k87idJbXoyRtKdnqwEfDziQQ1j9z2JIeLjzOUfI8oyIHOwsBSAzybP4JMpSuXMYTuOomtShh735bH+0NpA5Ix3ozWfOM3XHIbCHuWZWWE1gGNVSpu0YDbZHijpSH62IlqIaqC2UWbBNtVz0+vfRazQxPizxvKwbzfx2BYcXQ9h8byOPnIQY3BTUj93v9TMrS8q/JDKhgCmkEzYMpPs8DA0aHBr/QxPm8DOai91xX7Kmg+Rubedpmge1bE6rs36kub8MnwDClPWtBw5vv4jo7XtHDApukWdjn2UGlqYbDxEc0kx28aNo9p7gGN0YAthrIl6SRcIn3Nbzjto46qAzfgjaxgd0SIisMVzKYEEJyaiCdFU9E5/u12lb3FaJEh+KI1qdzWOqDJBCuq8NGnjaI0TEbWpRm5fiz9l3beF77xq9hCG8F3h1FNPZerUqeTm5lJQUEA8Huepp54iEFAf/ljMQChopc2oqEhr4xbSemsQZA2G7D0IBRtoaamhvv4Q4cjvQZiHQR+k+tR7MZmzCIfb6Os7yIaNS5g08Z1+sT2L3cAlv5jKSz9fTyQY4x+/2IDeqMHvDhPwRPozk7KKbehNyY/pr84aybrD3bR61Nh+ukVPb1+E6ns+YuNdM3FLdyBalZCARh/A4Ggi7C4h3XA/Xm6i2NZCT9BJVzATUYhT5fzmmL7LvYGioiu+tk37EQ9vPqS4/c++bRz5VU6kuMSyJ3ai1Ymc8v1aBEHAarWSpa2E5nwOv61kmOnTWjEbz8TuGEZNzUPsXJfsCQobesC2I2mdtiVZrbh21OPKh9xa2DmAFyMPMjAeWQG/TK33heE4D0bXAc6X3saPmSz3aaC3cBOv0BorwyZJ9FYtRXDV4+zezN/0ySGpsVePIHfJL2j/2c8Zc2ArhdN2Mr+zoX+7N304vtkPEO8OwmplsOw1GHj1wgsYvWMHzj174BylHEPbfffhXaZ40uadcjarOhpoOaJ4QPKqhmE75WrkXfcjHJfnsvezAv7j3t/x8IbHCdY3cPjDLLTWOF0/jOOxryZ/tJlh+/3EmrycOdtH5+vL0daMILZXqRnmSSunvnQJc1arRs6OWbdyUvR+uterRFmDt5fZa+4a8M0C1c0NNGXnkh8OEUk8V6euWYEgQzhLIDxS5vGfLeVz2yJOW72c695RfjNLToTegxIhQwbGsBuAHucIMlz7+ntP98k0ZSlD/8c5qSRtq5wNtHHvP+IEjND7oyj3hU3ENQK3XaPBHoA7Xo/jtsDmapHS+Fq2/dbIAeObNM1XvV+68IGkfmVBT17gGqzhRyl2FXDzW/uYuucD/nzWDayqNRPW5pLrzafF0sRX2Rp68x5kl/hbZsbHsjGi6NyUt7opzAgzzt/EHT9Qasvdcss9TOo8zGDQ6Lw8azNzus6XtL6xrBSIkh4O0CtbGNdxkMuy3kBrlsiPtbP/rXw0A8R+ao5spLPoEo5Hmy31e1ePeAJDzMRpe2/EEEt4e02NCOZ6PBErcTFEeu/EpH1KTy5O6efbwpBnZgj/z0Kv15Obq5QaSEtLw+l0DlrH68ABVUAqL6sATdyEKOnJqVpJcclOQMLt9tHRoXBJnOlN6MwuykpvRBSVGbXfvz9FbM+RY6akVpkpuzsCdDb6CHiUWZUvkbFQOMyRcjxmvZZnr1JDH788cyTji9V2z6z8HI1tW5Ko7rGQl7+jjIhYgztsZ39vgrRna8KkTSY99gRTB3mXawOxmI9QqI34gNneQHz6tJrO/NGfFYJsw64emvb2Ur+jG1f7gP2ak+szRbz5dBwRaWt/E69vNzvXJhszQXMLR8TjdCw+/znDy34KiIwb+wI6XSJ8N/oCtc3Ea+DAh4MebxIEEU4doGHl7wQpDg1fYSJMFi6FPNy4hkzcjNZuo0y/gwlLL2D81T+hJK2e05zvJHXZ7u3Bcc45GEsziY2MMOI4nkxfrpaCsfMpnjmJjIxk4cSdY8bQt3kzca+XaEcn7ldU8m3u969nwtnn9S8X1dSCOR0MtqQ+XC1mNuWNYUZ5LeZzzgVRJBq20pupw2NXDOvWPCNer4G+NRvw/fIuTPu2Edu7D1kjIwO96TXEtSa2jP0xsqDhYOVSqsdqyCr1oNF/s0haUWc7I3dsoaBLCafqY8rgeqhaedZycprBHOeLeVMIOQ2YMiLoHBqifh2aHJWY3Jo3Hbe9AtmsnOMlX6pelahGudnFhIdTF9cSG6U8j2lBsEyO48iWmeRSjrc9XeBAocDeYoElm5R9PJltVPQs58X5yWG84z0lIcsMxh1qJ6o10Zo/E3s0h27HWCoTfKGjmQZyXIrQ30brLmTBSMR2EVJsFJIooDPEKcroxiuZWLhMFeb81V9+T0ZvL87eXhZ9nKx/lCd6CWginAjVmi5EWeL0utX4tmooDLbhO5Js4MkI7BueasgAdOalhsK9xm66rE3syltJXIgT0HowaELoxQgRYy9xfYCQsRNJiBIVYnRromxs2jhI798OhjwzQxjCAGRnZ3PggDLwV1VVUVdXh9erZhkUlRZStzeGIAqccu5b7D94EzZbLz5fJj3dCrHY7lBe2k7nVGy2kXg8WwFwuzakiO0VVDlp3HXiYpb51YN4DoDhuWk0/FZNJ23zhPh8n0LI29Gwi8mJSg1paWPwendgzj6A6+AiDu/u4de7vp/cV3odDscU3G4ltn7XV/fSFVRCVVPL03n5moms+mo8sZiblavGAmC1DmfypGVJmUmyLOPrVY2iUF+Uo3t6+OjPKhmx5YCL9DwLob7BU0iD3ZXY8neyYcPZaMOPJ22bseg1HOk1LO/O4KSv1GtW8LdbKbizEUwOtbE1C+7zgCzDE1OgO3l2PShkCdY+CuMuU4yWl86F2Xck7+saQOT8SR1YVVe7fPtBvKvGscTzLNbtmbzKGTQ0NCDsf5eyqTsRrJmYQsmDf7uhG6NrA1u3XcrJJ1/Oyy8nH1JXWxuRyaklEUSjkcKaWoUkLcsUjVQkA4Tc0dCoDEz7XslnzYzptI4qQnr5WV6x27lpx3a83vVs33FlUn/deiNxlxo+C1dL9NwSw/KZyOy3b2P19AfwOCr5cs6jAEw5dQI0dFDNb9n/Wh6y9M1FYLPdvbSnZ5LbqxBoN1WPYRGHmMVKZrESdLDxrjFcv205cv4kEFqxeusJJ8JvbkcVXdnjKcvwUvbm3ZR2wmNPxvjhD9Rh7MnH4zj7oHHRowTG/ZXWP0WwfiASaygAmigpj7PJpYYlv5o1l5uf/xJtTCZoFPjdZYPz1wYipitGq6vF5TjAsVS5ruzx5Lni6KMyIYOIKV4NfIIhtBND648IWubyafUMrBoDPUVZ3Bj/FW/e+QPsqGEZWzDA4o8/4Yu5T7Bt7FlktYMvYzshnZcc0UeueOKipMO1Xdyw4hWyEsrUdc3JFR+PFs7jUOXSQfcNuX5Pq03h3v3EU03E7+LRAjX0urnoI7YWfIosyMxpm01GWA1V+hzJwoGrV1s5c+Ep33gN/zsw5JkZwhAGYPr06ZSXl7NkyZJ+kuoxOJ1OZi+YQsW4LCaeWoreqMXhnJIii19VNYaCgkswmUqpGfFQ/3qXO5ngClAwiOdlIPIGEIW/DtfPLueYdt2B3ipkGQ70VrI3dB+2zOvJqRoBAoRdYawDEjwKYiKjnVZqRz1GSDiDtdsvojugivtNKctAFHU47MnuZL9/Py2t/0had8ybNBDvP5YcFjqWodVa5x70PHr3n0LnvoX01E9DlHXISAj2RjJHvUNG1gRKS75Pmn08oYV3J++4+03Y/JzyN3B22F2XbIwUfkPqqPsoNG+C93+kLK96CPYq6d/oB3g9MoclGTIAGo2ZtLTR+GxairVdgEx3dze+NxQSdam/G5tfTZvtzNTTa40muEISTc3Pc+GFyVyfzuxUXkLRU08BYLLamHLWeQybNouC4QlOyxmPEs8YTdPKdKJaLc1FRf0Sg8eK7h448LOUPl0ZWkK1EpJB8VIEJyTEIidKgIwlkHyPZxfboEzhwBTP++cry2tHqoU1hXQdkpw8BFXadrDfWoFwzl8wjhhB2K3DVKilq2o20cT1b28Os6esin1TzyLbDZke5ZgLumUyrBWI007Bk3YYS8IbKTn0OPZ2ENlXSWl9sue1WbuLIxUXo/tmB5Ny/PEschrHYPFoeG/s1ciJkF67RqJXkKhoVe5vn7UqaT9T3wq2lFTTU6RMEoY1HsHel8ovqSs/C4tfVXgOigGaTS3ohAhz9EooWBu1oo3YECTFiJOQCIR2YXOf+HdwD0vHp4tiPM67E+l7nbBWol1UzqPWPYf5kdTCzJIYRxYk9jj3pGwbiNDgepnfCoaMmSEMYQBMJhOXX345kyZNStKjMZvN3HzzzRjNBhZfX8vk05RtTsdk7HZ1NpeZmcnECb9n+LBfIggCZnMZU6YoWiUezxYkKdmFnVmUHBYAGD5NnVWdSFDveDjMenbftxCNEMMVdrCubRIPbb6Zny9r4terpvPi4aW0icoAVZSoXp0dE7jIr6d71Vz0+gx2rjmP9IPz+UGBKpw3oUTxDDmcqSnfBw7cS3fPiv7l5gPKizy33H5CI63loBtZlvuNmmhaPV25q+jJUg293l3n07PlSgBkaxvDTv41mTUf4HRMxeGYyKSJb2CccReMvVTt+INbYdktyt8zC6EzMWNsUJVgyRoBV30E+gGcmJm3pR5kw1cQ9h23UoDxl6uLiYH8eDgdU5EFASkzjVyU2W0jKmFbI0FEJ7B8Vga7atJSCmwWFWm57777mD9/PgCdOcnGTP4jD2Odpdaomnnh5Zx2y51ojikbZ1Sg+eFXOH/5At2DFPxtaGggFlcH0dKjStjPO1mg9wcx3Jcqo3q4WrlXJCfEMyE3X80m0hNB1IhQMBFZa8ScFUFnTdY2GQxFzzzN6NOUbCl9WRm/DX6I0xtOaXfW+EcIOcowT5kCCASbYwyfP4Jr/zAbQYSjOTncdMcvueGKC9g4ejIjG5WBeFSHnfBFZTRf9i6Z8x9Aa/JAXEtO/Je0PxFBP+IQBaOSU6TbHG6WjxUJGr7Bs9SleFTDYRMdLRGeSgvzpjXCbn0cvyDzsjXMP6xhpm5T0vubsi0gJ4/s2khD/+exB9WkgEOFqlRE1ZF3mLL5N2hiITRCnB1Zm9mQu57d6WptLLO/BGfvOEx9Ssh1v2M/H404yLKzstEOULQ+hqvOe4idCy4AxyGaMpNJ/HIsSGd6CFmALK2ENSRQKKX2cQxhTervNRDXLv7XZQz+XRgyZoYwhBMgNze3v3RGaWlpUkjlGGy2kYwffyVCQk/ieG8OgMVciV6fiSSF8XiTCauiKLD4+mqqZrUy9dwMTrpiBLMvGsbYhcWcd/fElL6+DrHwAcrtDQA8s1tNPd/Z7OGDnW00aZWBqiimPPZlMQ0CAulxkV+/tguxXfGsZHnjPFBdzB1jSgisaGfFS/uxmgev/tze9nb/59ZjqeTDHGQWJSuoTjqtDK1eJOSP0tva1592rrErs0DpBC9JY7pKTHQ6jzuGxQ9A2glqwfxpCvx1nmLkHMPFr4JGC8VKvS2sOTD3LqhckLzvjlcgfFwaviBCxXx1ufQExkzC6Ou1RPpTr+tJ9ga4HDoQBPT61EFj/YaT2X/gZxQX5wHQlZVFXWUlrXnKsjxyJJ9//jl+/9dnjVhmzsR/2pKU9YcPHyAaVQT8ystuxZD7Q3btPInGxlpkGUITJHqesBMfKAT90ykUXeumKLyHNM8Rxm18kIZLLqXhsqtoWWGiY1saUb8GMS2NjpxsDlRX47n3HtrmzKH+vKXIP/8Zlh/fwrpAAM2cuWRcfz15v/wFXPomNsuIlGNczDLWbb2UhknL6ZsdRwaePNTEyr4+1o83srFa5YLcf/m1nF9Xw6l7HFwcv4H647ICTZ5K9KFsNGHFwykIcE16jLLoMDL6NMgirKx4hcGQkfD4WIIy1QeV6y+amkFQ79XNhhhN2jhxAUIiZDR1IHYGOSxF6c37BVG9qslk7FuF2f06ghTsN2bigkCGu5c+k1nRx0nQpnyatbxd8ziH7cr9f8iu8sd0iZpv5r4iNPps/NmKQbpzvBNNQqcIoCUdXp0lclpGnJy6VYQ0XSCA26m+g0RdEW0ZynNf5rJwBA8RqYKHjpo4taOIX3QmZ+55dV4+jxVyKOLA5tvH0UgmX0XK8EhGLK58WvefWIH8vxtDxswQhnACiKJIRYVSRLGysvKE7SrKr6akpOyE7QRBwOFQBuLB0ptF57to8n6ONvtxhk/LQ6fXMOPcSrJL/rXSGy73eoann1jf46hWmW2XxTWcPa6A4pj6+O9Z28qxyXWgOUDvxi7klZ0c3trFnq9a2fmxKk0/bNiv+j8Hgg0ASd6WgmFOMso6+9sY0lxMPq2sP2R2eFsXPc3KYJxVooqwhQ3HpUgDY2epdXTM5orkjcY0uG7lCc+X1q3q56s+AmdiBnzMeKlcAFo9XPxa8n7uQVSJZ90GxVMUr47GAKUzU9sAdvt4BEFHR1qYUhRDrYHkVHqPRvFyVFT8JGV/gJaWlwgEX0Sn1RI2Gtk6cQJfzZmNbLfz1hdfsHr16qSq74NBEAQ67Kkhyra2TuJxLWlp4ygru5HnNsVxu/M52jiWjnbl3g0Lyb9Dp3E1TW1/YvidHiZuewRLoJ3gli0Et2/H12yi94AVEIh7vayYN4/t48fxcV0dq/Jy2ajR8NqBA2zPy2PNmjWsWruG7B/fgnnSJEgvJ2vizwHQaKzUWxRC8+m8g+TbgJ9DeC6Ms/Hk4Ty59DIu21XPpxVmtlaoxozPYmX9DRn8UPwNPqmAQDhZmdrcqxhLZpeqsbTTciEbK+6hLXsGX4dTNivPy7T9MpOaO5EiTgRBQmNu6G8TEuT+5wqgAzv6bb3o9rqRAnm4c3/B0lWK18zkX47F+x7jdtzHqMOK6F9bZjamYIg3F1Ty5kyR5xcqz+QL09+lNS05wzAqROmTdbiMSkp/0NxCKNpCc1ThuxzwHUYzUT3/n12m4c2ZIpvF5+kNqL9p1ODGZVXucVFbRFuGYpxpukv4FBMhaSqnxA/wYGAN5/T5mBUYoB0jQLuhh9VSFasCY/lCKuOwlMlu/xj0Hj9du5Mna98mhgjAQxjC12DJkiWMHDmSESNSZ5ADcfbZZ9Pa2sqwYanF2ECZsXd2fkB9/R8xGfMxm8s5fOQRhlXfh8ulCHG53BuRpBii+F97LF2uDQxPb+b9E2RZt2glECAtLlDVGKNDUt3gM0OphR0H4si2bi48+0OiUTdO5xREQce+/Xfh8+1m585b2fn2XPwuK4IYR2vbgk67jcLZqwm7C0gr3kQkMo/8aidN+1xsWqa4+vVprVSPTKOg5CSWL1+Oz36QaNCL1acaLeOmzsDrewGDIWdQzxjW47wbw0+D/ctS2xUMqIsz6RqwZKqeFlEDP1gLgV5461rwJTKOpt8MjmLQGmHMRYpX54r3QYop+w8CjcaEPW0sbnkT1kkFsEmmh3S2l2QxtlEZUDIKbyNj7BQy0mdiNOTj8+1Gb8hm71415NXW9iKO9KV0daoertdOWQxHlYGrvj5VUXYgQqEQra2Kuuwll1yCVqvl7bffxuv14vVmUVY2hXfffZd4XCWLeDzZGIx9NDfVUFW9HrM5iiSpHIse90ocX/OdnkGMp2M4VpfqwIHNnHqqmh2Ynj6dMWOewWwqpcpXx/49r6fs6x5lYIa8kimspZtsdER4luuQBeX+/b3h+9RN2kK3M8BNJBt5Zlc5LSaBX9i+x8kEGcUutqJ4PEPGUej7UvVpACatnMOSTctJ98cZf1imw3CIeKAcUb8FjfkI8T7lOfeLcGAA4eajsmn9nw0buoiVWdlqXASo2XRNGa1ccRuAll/8vQNT2gh25yoGw/5CgXbH4NfwvdL3yGm5ktvOzmP7B5vwmltYVvJ+/3YZmdNK97BsrosMq4TPrLjXDtsPkx5Op7hvQNq0vhcoIWJMx5Uo8FnRfRbWWB6vi1FKzHPxeCrItNi4X3iC9eY+ngqVUlfsJ828h96+Ueywj0bnXIPG1EjmkYuI46H8pFRv4LeFIc/MEIbwNbBYLIwcORJR/PpHxW63M2LEiMEHXBQuxTHs3XcHW7ddklDc/X5/tlM87sfn/3qC3YkgSTHc7k1U2OtJ1LWkLNPCA+fU9rf5/kmVOHOUmVvHEe/A4tPfiGgkjslQ1R/qyc8/D7NZ8UYd3tqCp03hoRjsTew98H1c7vVYc/eQMfxTdGYXbvdGCoclZ2aZsw7gdE5l5syZZGdnYzDruOiHJ+NK346MjLkgglanJT19BhbLiT1jzE2QgZc+C+c9D4bjBtVR54JWzUhDo4XapUoq8zHkjFR4MAPDR5ULYPK1MP4yZR+AgvFQ9PUkYkfiGrWZ9mG1KiGdg7pioloBOXsEGUtuJSNd8eykp0+npOQ6crJPRaNJ1rexmPfxdfD5juf1qDh69CiyLON0OqmqqqKsrKyfA+Zx5yBJtWzbllyawOfPYPeuBbjd+dTVTWXMmGeTtofDneT8/J4TfudgZOVjCIWUUIbHI9HbezRpW2bGXMzmUrLTBw9lmoqD3MCjTGAzJ/Mh8/mcKg5y9lo11PZ++gRu4o9J+8naXDJrxvDLUUa2WrN4QLgPCRFPwiSLGNUJSlRXgi/9KgD8jkvZW3Aah+2FzNwrYw5Dmbeds7Yr3gytJXm2EB7wavDrksOr2no/O2yDe/EAfn6Zlh5nJc1OhfQb1gu8N+XE75rSURuYMXY4YVMX+5x7U/PGgedGmdiTnlyyZVO2omGUrR9Gj2QmpvMjCTHa7c0ggKPPiTWWCGVKOuq9l+LSnEZdaA6dgWmc0hegPJEFJpiOGdIxDNkfo7PvJM28m1dzxzF5wb8WGv93YsgzM4QhfAs4NvAfwzEicCCQPMN2udZjTxvzL/fv9+8lHvdjMqSx/u759AZiZNmMuPrUmfXU8gx69geTtF6KR6ZzdI9aBNGYZSTUlZyVJGoFpJjMs7d/RSSRWlw6OpOK+VPpOGSjdf31/W21ZiWjwutVspgyM0+iu3s5u3bfSM2IxwHVqDBl1ON0nIkgCFx11VXE43GsVis333UNvR0+cgoG936kYNZPYPT5kJ7gJ/xoe7Kqr+NfEPIqnQm7XgON/huNlhPB6ZxKQ4OSVm53tOP3Z7D30Gz2Mhs64fr2dvISHJhjEEU9M6avJBzuZOOm05HlWH+K/4nQ0NBAbW1tyvoDBw7wj38omWYDOVz5+TZ27ICmplreenNryn7BgKP/s9uVz5bNfsQBHNZYzM8LHSuRr7kKWRYozMrizFmz0NjtNF55ZQpZ+UR49NFnmTjpHRYu/ByDXv2NdTo1rBrExDNcz038kUrd7pQ+hrOP8g6VKJ8pdyZt/z7PclNBLvMnlrN7rbr/ZYLq+ZE1DmLafLSxVkYbvKyyzCNiGImkzWYCPdw943pM0TC/Wv80Zd52luxp54O5WjSmJgoqHiSj4RJ2xpUQYk5cxquJEkSPseDviIYuAvU3gmwARJAEpaDSILjngo+Slr8co1go0/dKLJLK6MicwpO5Sih0g2sfM96eAcfVyrWH0vEYlef4TZuVN22pmYWfF32CTbOT8sOTQJSJ6ry0Jrg4+b6apLYurZN/WIOMDWvRea5nlfc6vpf5Sz4BIhY3lvKHCbWfjSAqEgvrMw4y2jEPnea7848MeWaGMIRvAYIgUFE+SOZM//aElsZ/sWTAsVCVwzGZdKuJymwbdpOOkgwzJw3PZmyRgwmlTmYsTU4ZLa3NZOQsRbwuoIMzbhhNWpaJ3HI7RquOk64Y0V8eITJAI6VhZzfBrum0rP5hUn/Zo99OWs7NPbv/8959N5E+TBEDE/V+0or2k5am6KOYTKb+khJpaWmUVhVgMhv4p6DRqoYMKB6XrGHq33Gz5a/F8CWQUQnjr/jX9hsAe9o49bM91SD58MMPkWWZzs5OpAGVo3U6B1ZrNU6nEqqw2XpIs3dgNieTMI1G5bps3LiRxsZGYrEYsViM7oTGyDFDBqCgII1YzI8sS+j1asZYOKwauVdddRU5OQMZvwrWrFlDzYj/RKt1EApZ8PvTcbvz8fgDePv62NvQQIsg0BWNYrjgAroSfVitVjIzM3A6bVgsquidIKj3T2PDGNpaU0NKI4Y/SEiw8wA/Yz0n5rTMc23HHJEZ1aBMCkagejTfYik+wc4qr4Y98ShhzYkzlYK2BZhEDWdqgkzvjiPpchjvijPP5yegM9FjdrAzU/EKZsVUPopX7yLNqHhq7GE/lZE2For1lAYOoEvbg8bQicaiktfFIxdgDcqMaP7mWlTxxPHO3SUzcu9R5rpGf+M+xtazBl0vxdTr79H6aRbqmKBVnsGo3k1rmsKxy/cmvxf26uMERNhuiOESTLgxs7X3R+r5GLox5qrPuuzcxfiSE5d7+TYw5JkZwhC+JZSW3oDff4COzlROR37++bS0vIjbsxlJivaXPfhncYxY7DwuhVoQBJ65UhXqM+RbuOzX0/j7PYrxk1/toHZuIXMvGd7f5rJfTUvqIxaVOLQ5eeYLsPalZIXRitNuR2d29y9bLNWJ6uMqsse8QfaYNwBId85EFPX8j4IlE3645f9XFxqNel3s9tTr5vV62bRpEx9++CEnn3wy06YlX2+btYbe3q8QBJkxYz5Fq7UjCFqiUcXr5XYPZ9fOSTQ1NfHcc88xaZLy+27atImLLrooqa/OrpvZs3caDvsEel3PAskFVq+++mqKioooLS2loyPV8JLl8dSM+Jgnn3wCaZCw5AsvvKAu6HTo9Xp+/OMf09j4GPUNf6K66nc8++w2ZFlDZlYjXZ2K0RkOW/D3HUzpLz9/Kf8Iz+Rwg5IV0yebsZCqNp3tqKNXjHH2hj7qc3TUGBXvy3uczZuCcg3WuP0s3Jz6HQBLc5y80eEiZFvIUdtCgk2reHSvwlsJ6PtoWfc7NHPuJC5q2JlZwZlHVqPLzyNfF6U1qnCR4pZGtL7J/HHlf5IbUAzOr0YKPDZBcWdpzYeJ+xWPhyc6loef+piYpZu7r9QwukHD4VIzXo0aKssN5NJuVs5bkGB4k4wcjWLWvMEyHuf8ipsJ6FN/BN++3+BDhH2/wVr1awSter2CjdehtW/HkPll/zpBc4T7YtvYY6nmRYviwSnwVCJLPsKepzA6b6UpQWoOiPCkPYQ9LnC9L53RoTA7E8a0aFCrh8uaEH9vvZkbohsw6FQD6tvEkGdmCEP4FlFVfS9mszLTO5bhBFBUeBk6nZN4PIDPpyrm9vauxevdhSzHaWt/h3CkO6XP3t419PQqRMaB3JwTwZZhZMLiEsYuKCI975tfPAXVjm9sUzxxPzqzm7KyH6HXZ6LVplE76nH0+gzKy3486D4O538tjPO/AePHvURGxlyqKr9PbW1yJWGPx8OHHyqE0E8++SRl39LSH5CVtZiyslvISJ/NuHEvJKWlW63JdXQ2bdrEpk0KJ2KgV6aoaBcGQ4Du7uUcOqyINw4fkUx4zc9XvHIDNZWqq6v7P7/zzjusW7duUENmMBQXF9PXt4f6hscAOFh3O2VlW8nJOcSsmbk40xPlOnwZtLUtw+1JNRy/X5RFrl4x5n/DfcQRiYadWD8UMW0Q0YgWECJkDP+Q0ukr+VnnP5jNCgBmFM7l3Bwndm2yxkulL44hrnhFRttM/LIynxuLs8kIS5zSGsXRq3Ky/jq+jufPPJ+cqGKgHCyoAkEgcugwp3nm9LfbnbGThYY/s3aMG1/CibenWPUCFRr3UGjaR2ba+whaF612K3dfqSGuEdhWIXHVsCvRJrRobP4MztpThjGeqMkWSMOYEMkOHtxMdOfr2PpSlf3CXSehsSgGm8ZShzxAhDDSO5XimIZ4oDxpn+U5DvYU27i1WDFKHIFcTDEbMoqx3Od/hzZN8g/u0cjs1mk5qS3ZgzMQUVng003PnXD7fzeGPDNDGMK3CIM+k2lTlQGsp2cV290bMBhyMZsrcDgm09X1CS7XBuz28QSDzWzfcSUajYWiou9RX/9H0tLGMWniG/39BYMtbNuuiLmJogmrdfBsqoEQBIGpZ1V8Y7tjcOSo7vXF141CluGTp1QeQlqmkdOvuQG4AYDyspuT9i8ruwm/fz+dXcncAIc9ubTD/yU4nVP7vWTl5XCuUtCaxx9/vD8cdAzhcLhfzwhAq7UxuvaJ4/qbRmfnh4ntg5eCGIj09GZKy7anrM/KaiTNNoGNG7dgs9nQaJTBtKSkBFEUkSSJU045hdLSUj799FM6Ozvp7Ez1Lp0IpaVFbNp8dtK6gsL92O3jGT36IWprZR555GH8/j683ky2bDmf2bO2JfFlLFoNG6aNYPhXu2iQKric11kZaUJadgfGkSPxnZZDV9fHZI1SMnkGJr6fUz6P87UWvr+ngXc63f3rL2yMclaLct3yf1mLqNdwb0U+133cSbSpD1DEK49O/C3L026gbVoB2jov2iM+ptaWYdg3jPD+/di2NjCvbB5fFiiejtWVLVCpYU+JxL2vSOwpUY2ZTosbLH8DwBzZx1umYH8ICeA/Dz3OG2e8Qc6qfbQ9cDfQwYrKQvY720mP5gEqly16ZDlT9ou8N03AFpB55j/jvF0+k39coIj0hdrPwJj7Xn97OW4gr2s21406wsNHJjDwjtmuMfITeSytWiVMFu9TjJ2yMYVsPTqC3nYv8UEicx9aonwYuoFfH72fB4tV8nlhh4nmHMVg/3Lvp5w+/abUnb8FDBkzQxjCd4T09FlUV/0Mm20kgiDgdEyhq+sTDh95GJttFKFwK7IcJxbzUl//RwC83m00t7xMYcHFALjdKsdGFPUIwr/f2SoIAmf/ZDzdTT7Kxyn8mRlLK2nc3YPBrGXa2V+TaZSA0zm135iprroXUTTg/D/smTkRbDZbijHT1NT0tTpGoHjcurqKCQb+ufIWsjw4T2TM6Kex22disaQxapRaWsBkMnHeeecRi8VwOp2Dij8eQ1X1WrTaCMFAGi53Hh63Smbu7vkJtlRRa5wJL6QgCJSWlrF792487lwcjk7c7o1kZSULFxpEkUl2C6tcfipMBvRFI9h5zdWYy8F36ENOlAWu1Sqexsl2S78xc36ukzM+UTOoIke9GCudyHGZaJM6KEcFicfsi2gTFCHGWJmVqU4rdy8cgVg/kfD+/WS0tZJflZqdtKtMpDtNosMpIEoyGV7ocqi/gajv5Uhhym6sb1vPxZMX9i+fvlpD5/TJGNwjEB+4AunuO/q3nf+VhDkiM2W/zDtTBaK6tRwLrgw0ZAACR68kV/RSXlbJuP1eVjRdiaDxYcxZhqAJ0iQ39SdCdYbLeMLmwXTYR60umxV5cwGwRz14dKkXerN7Eb8y/ZWPLBZCByfhi5RhsC3HGDIzqXbwjLRvA0PGzBCG8B1BEASKiq7oXx7Id9m+40pycs4YdL8DB+4lK3MBBkM2LpdK6iwvv+W/7VjzKx3kVzr6l8cuKGbsgn8+Syg9fSaCoMVgyKOw8IoTprD/X8fkyZNTNGIaGhq+0ZgxGIrZv29O0jpRjCFJg7/CXa4C+vwOLFZ3/7q8vPPIzFRECOfMmZOyz0AtpWPV5I9HVpZIbq4a5ioq3kMoZGbTxnMBCavVNeh+x0jNoGRY7d69G49HIQy73BtSjBmAhRl2Vrn8LMhI428vKvWo2Alm82gmTEwVNiwt+UH/5/kZaVDXglEU+OPwYryz4/hXJdKfj3gwVjqJtiWrKO906PhSO4frCrPY5g2wydvHXYuqKLCb2JCWRhqQ3dFJsLScGc4ZrGldk7T/Z2MVw6K8HcrbZT4d/833+NaOrVwx8go0mZnEu7uJuW00dp5DI/CQJ5uyitmce1gJDerjcM5amf0F8PK8ry+CpNF5yZcgb0eY4Zv2sHzMOQDE03ajtR5goC5DPFBGQKMnoMlgBWoRyXGeHazInJ3S90ZhCn/0/4HTfQEqDJcoCYpHJ4GsYe7lqe2/LQiyLH8zvfp/ObxeL3a7HY/HQ1rav6aqOoQhfFuQZZkvvlQHNY3GQjx+4gwBk7GYSLSXeNxPcdHVVFbe/T/aSPB6d6LTOTCZ/oVU6f+DqK+vx+v1EgqF+Oij5NDbpZdemmTYxGIxXnzxRRoaGlL60ekCRKNqCFBv8BMJq1o18+aNYfLkiQQCDUSjLrKyFqLR/PMZWj09PTz2mMJ9EQSByy+/nMxMJ4HAGuLxYMILKLB330/w+51oNDFMJsXTYbdPJCN9Fkfq/4Ag6Jgze1v/dw/sNy2tE683mwULFjBzZrLHIyZJ/G3bH3CtrMfvHZimLzNr9ov9SwZDHlVVPyUrc2EScX6HL4Bdq6HUZECOSfT+Yz/BPQovxDIpl75NydL7wuhM9p1cwCynFVc0TmMwzBSHcj1ffeYZan/3MAIQqa4icrSOrZXKs/bsGWYCslri4EJPKdkrDvPomakGhyEm8M75H/JR/Uc8uu1R0vRpfHXhV8Tb2vnkshu4adK1/W31WZ+iNTThiHjxZSjk7O99Eiek/2ZjBuDUrpnceDDOvq0HuH6B4uHRpa/EmKPec31HbkYK5w+6/+VNLyIJGjxltbwfVb14ogyPhHZSmfYqp0fvRzQ2YylTpAimCZfy18vv/MZj+1fwz47fQwTgIQzhfwgEQaCo8Mr+ZcWQ+Zq00tBR4nE/gqClrOxH/6MNGYC0tNH/zxsyoJBtx4wZM6ha9Isvvtifrh2Px6mrqxvUkAGoHrYWnU4xdkUxlmTIALS1hTEYCsjImEVu7hn/kiEDkJGRweLFSmHIpUuXUlZWhs3mICdnCfn5S8nLO4e8vLMZVv0LrFZXvyEDMGrkH8jJWYIomsjKWpT03enp6dgSsSivV9Gm+fzzz5PUiAGCfYex1799nCEDINDcrHqRxo/7OznZp6ZkAI6xmSk1KVwkQStiP1UlOR9vyKAVyJ5fzIKMNAyiSK5Bx6Q0M/F4nHg8TrPbjdvpAEB/sA5rCGbvllkQLOeqMdckdTX7jNsY32XF7pepbJW5YZl6XuNbqim0FXLlqCsxa814I14Oug6iyc3jl9O+p3YihjFkfoHGVtdvyAA8e7KGXaWDP+fZ0XSuaTmvf/nDrNWE9+2nyN9JpbuZ9LCHi3JUwnUGE/nRrLmD9pUV7iIt5mPYsDIyNEGmZ0X6jQVJgDXxiSyPKanzpkI1o607/N35RobCTEMYwv8gVFbejSzHaW75OwAOxyQCgXoikS4qK+5Ao7Vx4MC9SfukpY3u5woM4X8PHAOKAg7E008/zeLFi3nuuec4keN85swQgtiG09lOZ2fFoOGm/fv38/LLL3PppZcO0sM/hylTpjB69GjMZvMJ2xQUXEJ29imAcqyiaESrVQyrWTPXIYrJekEKb6aUXbt2Ja1va2ujsFAhlrS0tPDMMy8hSanhJ4D6I+NpbhpJYWEZ5vllg7Y5Hpp046Drs28cizbLhHhchfoXX3yRI0dUtd/O7GycLndSG31xMRNyJiStG18wCdOnK3ls8nhECTwDHs2OvmokSUYn6hifM57VLavZ2LaRxz4K0BlTvS0aU8MJz2NXWbIP4vnfxxBqTsdeejIeMcDTqPo9wd4udMDDqx5HEkS+OP8iOPgSABXOEn44v5JLphYTj0WZ9ZvPiCSkEpa2vU1+1TCmX/o9Dv/tb9RGD/LY3Tfzvfu/YocY5ahWYlvkNNDFEXXe/u+7Z/ZQOYMhDGEIgChqycpSCYFOx1RKiq/FahlGTs4Z/197dx4XZbn+D/wzA8wwM8DIvg+LWyEogqIQ7qbmkuZycl+yzJOUpnUs61vkSe18s+V7Tpk/PYR1ymNZLkjlFmKRCi6oBCoubLKICAw7DDP3749pHnmYYREGhsnr/XrN6zj3cz/P3HPjict7u+Du9hRksn68e+x7mW7RHemcpnmKdAoKCvDll1/qBTIikQh+fn7o27cvHnvsZdjYPAovL/1TkpsOxd+4caPNDNutEQgErQYyujoikSNEIqc/tuXfHyGytLQ1eJZQ063gOjdvXkF5+TmoVErEx3+rtx3cweE27OyUUCi84OrqDpVKgry8EqhUbe/u0rWz1zT+NmVxbzmsPG30ApmKigpeIAMASoX+qKLra+sR7BKMwS7agxIXBSyCzEoGoUQCv+hNEKkB5wpgZJoGvfPESEco/p10C1eLKjDUTbub73jWKfyQ9kc+MEEjfNRJkDr92ub38S9keOo3DaT1gCT1EMRMBBd1L4RZ3l9Yf+OPtdm2Ci/4b3oHX/wRyACAxioflaoKFNReg4tchk+e9IOdSompRT/Ckqkx6YW18PL2hpWVFerrapF76ypmjPODwLIMl2yKkSUrhIXk/tql/uWeCJa172fRFWhkhpAeRpt5WQTGGmBvPwz29sOhUCznrg8f9hM0mnqcSNQeyGXXgfQHpGcICwtDWJj2l89HH30EpVIJQLtWpqmXX34Z8mZbeIaFxaOsrAwXLvwfV/b6669DLBbj3Xff5Z6RnZ3N27nUEzTdLeXpmYH8/ACkXtyLRrV2q3FZ2XQA94OyF198EY6O9xenMsbwwQcfoKqqCvn5+a3uvmrK5jFPNBRWo+acdurG+TnDp+samtqzCQsDjh0HAPjs/hrSkBDu2pdPfKlXv9esmeg1S7vw9lMASz5PQWPmXWz+8So2/3gVHy3WTpVdKD4PYAoAIcTOh1HqmKT3rOpbayBy+AVWvbRpKOwb7fBJ6buo+uUFro7bqwGwdHREDEbg+eghOOVXj3QfAYYNmgzPD7YipyIHaHJA97niM4jco12ntClyE56MfBKXI4MBzOd9tkKhwM2bN3Hw4EGMmjYdMv+PILBoQNMQ1V3ZB9+VJQC5pwCvEJgCjcwQ0sNYWEjQv380FIrn0KuX4e3LQqEYjz76Dyi8l8PJaWw3t5B0hdamg5oHMjr29vYYN24cAGDq1KnceTXPPHN//UVLa25MycHBAePGjcOYMRFwddXujiov80BJiTcKCvqhrs5Or35TuqkqANizZw8KCgrwww8/4MCBA7h48WKrn91rsh+kIS5wXmE4kCktLcW+fft4ZQqFApNmzoTrW/8Dx+efh2TwYIP3tmaoLz/R6vFUSzC1NQQWdZD6boOl3QWImgUy09LEeCpJAE29K+ruTEVjtT+sG+ywOfclCISWsA5ZxtUt/34fyvbsAVOrMXK8tvzbkRbYOU2M9JJ0rE5YjZa8kfQGbpbfNHhNoVCAgeGW7S28nbYaAosGvTqP2wDwHg7YtC8/V1eg3UyEENJDZGVl4YsvvuCV9enTp0PrXq5cuYJvvvkGTk5OiIoyzUFm7XH859449du8FreZ+/j4YNmyZXrl586dQ3y8fmoQAFiwYAH69m35tNrWbN26lZuamzdvnsGF2h1xPqcMsz47xSuTeO2Cpe3VFu/5dot2dG3O5I2oEmmn+/7ftEAMOHT/3BxL219Q9p/7u7tc1q+HcuZITD8w3eAzVwxcgR2Xd+iVWwgscHHxRb3ynJwcvPPtO1zmbUM+n/g5N21mbLSbiRBCzIyXlxd3Km9oaCgmTpyImTNnduhZPj4+AICSkhLs27ePl9SyJxk+7CcIBPr/prZ3YBg3bhjmzJlj4C60OrXUdL1LamoqDh8+3K7vr1KpeGuMdH1oDKE+9vjXvMEY5nd/lEndwrbo8aka/G/M/anGL3pXYrajCltnB2FChAKOCx+FLMwNLi8OhjSMP3pbeeQI/OxaXhQ93H04vpr8lV65mqlRVqc9J6haVY3/+e1/8Fv+b/Dx8YFF39a3gg90bjsZZlejYIYQQnoIKysrbkQhKCgI4eHhbS7AbYlUKuXWmVy+fBk3bxqeRjA1G5t+iBzhq1c++YmFGDHiCS6benOOjo7cFu/mbt++DUC79uiHH37AmTNn9Bb0GpKXl8f9WaFQwNra8A6ojpo2yAN7Vtw/HLNRqb/ebWaxD1Yc1sC3SRaJ4AUzsfXVGZg9RAGBQABJoBPsZ/aFyNMGsqH8ERFVoXYx8cy+hoPggc4DMch5EFYFr9K7dv6Oduv29kvbceDGAaw8vhIAcE94r8XvNMJzBMQW7cxw34VoATAhhPQg06dPx6hRo+Du7t525TbY2Njg3j3tL6Lbt293eOqlq40auRyqhr04deoKAGDGjBlttlUgEGDFihX44IMPuLKpU6ciPj4e+fn5aGhoQGFhIW8hdNMDCVUqFXbv3o1evXph+vTpXB0AcHV1xdy5c435FXnt7iW1QnmNCpoGV/x77DfIrk7Du8nvAgAip/8V3hG9uPoihQIWLWzjB6B3rfHOHdwYNRp/++EAJvpOxPPHnueuHZl1hAs8ng16FsPdh8NP7ocXE15EanEqtp7bipcT+YlhH//ucRRVa8/lCSsOQ2TfSIwdOxbWFtb4MfFHVGdVo66uzuiB34OikRlCCOlBJBKJUQIZAJg4cSL35564EFhHKBRizJiZcHBwgIeHBwYOvD9tUV9fr7f9Wq1Wo7a2Fra2tnjqKW1iy7/85S8IDQ2FnZ0dNBoNcnJykJmZyd2TmZmJqqoqLrhJT09HVlYWUlNTUVlZCZVKxdUfNmxYh0fE2uP/5g6GQAD8fUYghnkH4C/9/4IQlxB42ngiwm80bB57jHuJvL3bfJ7rhg1Ak0MzG4uL0RB/GBEeEfjyiS9hIbDAmpA18LC5P61lKbREsEsw5GI5FgUsAgDkV+XrPVsXyHhLvOFd7Y2qvCr42PnA3soeeefzUJJfwutnU6EFwIQQ8idWXFyMbdu2wcLCAq+99hqsrKzavslEdOtahELtv7Nra2vxySefQC6X47nnnuNOuT58+DCSk5PxzDPPwNvbG2q1mltrtH//fly6dKnFz/Dz88OQIUOwd+/9w+VmzZqFEydOoLRUm6n6pZde0ttBZWyNag0shALuO2mYBowxWAjbTlXQHGMMUKuR/8qrqDx8mCv3eP99yKdNRaOmERYCixZPCS+rK8PIb1rPqzSnzxxojml/PmvXrsXdu3fxn/9oD/cMCQnBk08aziXXWbQAmBBCCJydnWFjYwO1Wo2TJ0+2eKpwTyAUCrlARqPR4PDhw6iurkZBQQE3XcYYw5kzZ8AYQ0xMDGpqarhABmh9YTCg3THWNJABgJSUFC6QAbRb3ruapYWQF1wIBcIOBTKAdupKYGkJ1/V/45UXvPqq9rOElq2mO7G31v++zdfcRHhFcAlI4+Pjcfz4ce5a8+SppmCyYCYxMVH7AzDwOnv2/hYwQ9e3b99uqmYTQohZEQgE3Im7SUlJOH/+fBt39AxJSUm8ERbdNNndu3d59ZoHJu09QK+ppgt/XV1de3yes5ZYubujzy8neWWs2QGMLRnurl2Y7G3rjbQlaXgn4h0cnH6Qux7qGsr9PcrMzEThHwuNAaCsrIw78NFUTBbMREREoLCwkPd69tln4evriyFDhvDqxsbG8uotWbLERK0mhBDz03SLcXx8PAoKCkzYmpaVlZUhMTER9fX1SEhI4F2Lj4/HrVu3EBsbyyvPysriklSqVCpcvny53Z83bJh+KpB58+Z1oOU9h5WLC9yi3+be12VktOu+LSO24On+T2P7+PuDBf69/LF+6HpsjNgIe2t7g4GiburH1GuyTBbMiEQiuLm5cS9HR0fExcXhmWee0YuKe/XqxasrkTxY9ldCCHmYNc+FtGOH/qFpPcGRI0eQmJiI3377zeD1L7/8ErW1tXrluuAsISEBJ06caNdnubu76yW7XL58eYsJQM2J/dy5sPnjZOjq5OR23eMkccKbw9+Ewo6fg2phwEI81Ve7yNrQuTtBQUEAHuJgprm4uDiUlJRg6dKleteioqLg5OSEoUOHYvv27W0eflRfX4+KigreixBCHlaOjo5YsGABr6ympsZErdGXnJyM/fv3c2fhpKSkcNcWL15s8J4ZM2Zwf46JicHHH3+MM2fO6NVraaSlsLCQ1wdWVlbw8DB8iJ05koVpz5+5+8GHqPjpJ6M809raGsuXL8fo0aMxevRorFq1ihutMfW6mR4TzMTExGDixInwbrYN7e9//zv27t2L48ePY+7cuVi3bh02b97c6rO2bNkCuVzOvZo/kxBCHjZ9+/blJZw09b+kdVQqFX766SdcunSJ24JdV1cHAAgICIC/vz8GDBjAu8fKygpBQUGYNGkSV1ZeXq63uNnR0RH9+vXDyJGt79QBgP79+/MWEps7aZMptPyX1xrtud7e3lww4+zsDIVCe5BfeXk5ysvLjfY5D8rowUx0dHSLC3t1r3PnzvHuuX37No4cOYLly5frPe/NN99EeHg4goODsW7dOmzcuBHvv/9+q214/fXXoVQquVfTxV2EEPKwevLJJ7nD6B4kmDl+/Dg++ugjo/+yqqqqwqZNm1q8rpsemz59OpdEEwDWrFkDCwsLvemz5p599lleUsrWNF+rae7E/frx3qvy9c+QMcrniMXw9PQEYNoA2ejBTFRUFK5cudLqq3k6+tjYWDg6OrZrn/rw4cNRUVGBO3futFhHLBbDzs6O9yKEkIedSCRCcHAwACAjI6NdU00ajQZJSUlQKpX44YcfoFaroVKpOhzYKJVKqFQqaDQaHDt2TO+6bms2cH9nkkgkwuLFiyEWizF58mTIZDIA2m3nul+kTYlEIsyePZtbX6lQKODu7g5/f3+sXLmSV1d37o4uBcKfhUAohOPz90//rU5pOVFkZ+l+Trrt86Zg8kPzGGPo3bs3Zs6cia1bt7ZZ/5NPPsGrr76K8vJyXqTeGjo0jxBCtKqrq7nRbSsrK6xfvx6Wli1ntsnPz8fOnTu59yNGjEB1dTUuXLiAZcuWPVAyxoKCAuzcuRMBAQFwc3PDzz//rFcnJCQEFy5cgEwmwyuvvNLubdLR0dEAtP/gbTr91JbTp0/jyJEjHc5O3tMVf/gR7u3YAfmMGfB4b0uXfEZVVRWEQmGXnJrc3t/fJs/NlJCQgKysLINTTIcOHUJRURHCw8MhkUhw4sQJvPHGG1ixYkW7AxlCCCH36UY1AO16lb179yIkJAT9+/c3WL/51MGvv/7K/Tk2Nhbr1q2DUChEVlYWAgICeCMrTVVXV3O7qNLT05Gens5dk0gkCAoKgkajwfjx41FTU4P+/fs/0Hkvs2bNQlpaWrvWxzSlG1XIzc2FWq1GTk4ObGxs4OLi8kDP6amkYWG4t2MHqlOSwRjr1Bk6ddcyoS4rg2w4f0t7S8lAu5PJg5mYmBhERETg0Ucf1btmZWWFbdu2Ye3atdBoNPD398fGjRuxapV+tk9CCCHt07dvX1y/fh0AcO3aNVy7dg3z589Hv2brLIC210H897//haWlJXJzczFhwgREREQYrPfdd9+1+Ix169bxRoc6kuQxKCiI2yb8IFxdXSGRSFBbW4tLly4hLi4OdnZ2WLNmTYuBmTmRhgwGLC3RWFAIVX4+RF5eHXoOU6uR++xyqO+Vwj8+HmL/1tcrdTeT/6R2797d4pkCkyZN4pKAVVdXIy0tDatXr251SJQQQkjrZsyYofff0QwDh6vpRioAYPz48QafVVBQgNzcXADA0aNHsXPnTr01jRqNpsWtu/PmzTPpf9OFQiE3VZaYmAhAO7XR/KRhcyWUSiH5I8gr/fxzZM2ajTv/+N92nwysU3f1KtR3SwCNBtWnT3VFUzvF5MEMIYSQ7iWTyfB8k8WhgDYhZXOFhYVoaGiAtbU1IiIiWhx1aSo/Px8xMTG8spYCg6FDh7Y4vdWddFNNTc8k6ylb141BOiwMAFC2+7+oS09HaWwsypulgWhLTZMFxDXJKbxrrKHB5Dm/KJghhJCHkLOzM3cAGqANXHTnu+jofqH7+PhAKBTytkI//fTTLT67oaEBcXFxqKiowPvvv4/PPvsMgHbpQNPD+zqSR6krGNribepD4IxJZiBtQ+3Fi+2+XxkXh+J//IN7X3P2LFiTw2vvxcTgxshRKP3yP51qZ2dQMEMIIQ8p3QFoDg4OYIxxU0o6umBG98teoVDA1tYWTk5O6N+/P+bMmcPVbb6+5MKFC9i7dy+qq6u5spEjR6JPnz5wd3eHVCpt85yY7uLs7KyXJicnJ6fN0+bNheSP7fhN1V5O06/YgoK/ree9V5eVof76De59dXIKGu/eBSxNd+ggLT4hhJCHnK+vL0pLS5GdnY3c3Fy9dYy6ERSxWIxVq1ZBIBBAKBRiwIABUCgUYIxBKpWiuroaH330EXdf8wNLfX19IRAIsGzZMmg0GlhbW3f5d2sPoVAIX19fXLlyBb1790ZeXh5qa2tRXFwMNzc3Uzev04QG8hk2ZGVBdacYrK4WWTNnwcLJEaoc7donKx8F1PdK4bfvewia7RyWhg9HzekzyJo+Hb57/os7W95D7R/ZzQ2NAHUXGpkhhJCHnC5YSU1N1QtkJBIJb5uytbU172gMW1tb2NnZwdLSEnK53GB+PUA7CqTLfSQSiXpMIKMTFhYGOzs7DB8+HAqFNtliVlYWVCoVCgsLTdy6zvP8+GNYerjD99tvYB0QAACoSUnBvX//G5rqai6QAQBVTi40VVXIf+VVVDfZiu8UFQXZ8HDuffbceVwgAwAif/9u+CaG0cgMIYQ85HTTPc3XzAD318u0l6+vL+bPn4/du3dzZW+//XanzjfpDn5+fli7VpvD6M6dO7hx4ways7NRWlqKs2fPYvbs2Xqn15sTu0kTYTdpIgDt2TN1GRmoSUlBQysnH9ddvozCy5cBAA7Ln4Fz1CrUNEtHpGPp5mbSnzGNzBBCyEPO1ta2xWsdWaTbp08fhIaGAgBmz57d4wOZ5nTf+dq1azh7VruL57vvvkNJSQkAbVLLw4cPIzU11eS7eDpCt7up+tQp1F681EZtLVmY9h5JSAjks2fpXVfs3GG8BnYABTOEEEK4BJSAdsu0TkeCGaFQiGnTpiE6OtosRzPc3d0NlutOMP7iiy9w5swZHDx4kHeSsbmQDhkCCIVQ5eeD1dZy5VYeHrBs4btLQrWJOAVCITzefRdokmHce+dOiJv8/TEFmmYihBCCp556ComJiZBIJIiMjERAQACqq6v/FAtgH5SFheFdOQ0NDYiPj0dZWRlXlpmZaXYBm4WtLawDAlD3++8AAJtx4yALGwqbceMAxlCVkADrgADkLFp8/x4bGe8Zfvv3ofTzWEiHDoXNiMhubb8hFMwQQgiBVCrF5MmTufc9Zdu0qTzxxBP46aef9MrPNVsz0vy0Y3MhHRbGBTOyxyLgMH8+d81hyRIA2gW/JZ98AqcX/qp3v3W/fl2WuLIjKJghhBBCmgkLC4OzszM0Gg3c3d25TOM6YrEY9fX1uHPnDmpqarokY3RXkoWFoTTmc+7PhjitfB7SoUMhDQ3pzqZ1CK2ZIYQQQpoRCATw9/dHnz59IJPJsGzZMt718ePHw9nZGYB2obBOY2MjamtroVKpurW9D0o6ZAisPD1hHRQEUe/eBusILC0hGxYGgRnkQ+z5LSSEEEJMzMfHB8uXL+fyTvn6+qK4uBh3797FwYMHIRQKMWjQIMTGxiI/Px9SqRRr167tsYmRhTIZeh/+CRAIzG63mSE0MkMIIYS0g6enJwIDAzFo0CA4OTnxdnrt378fZWVlyM/PBwDU1NRwf+6pBFZWZjHq0h5/jm9BCCGEdDGhUIjZs2dz75tvW79x4wbvfXZ2Nnx8fLqjaQ89GpkhhBBCOkAmk2Hq1Knc+9OnT/Ou6xJ1kq5HwQwhhBDSQUOGDEHAH7mOSktLAWi3dQPaRJuNjY0ma9vDhIIZQgghpBOaTjcJhUIMHjwYMpkMjY2NuN1K7qOsrCzs2bMHlZWV3dDKPzcKZgghhJBOaBrMeHl5QSQScWWtTTUlJCTg6tWrSElJ6doGPgQomCGEEEI6wdnZGTKZ9rh/XRCjO0E5MTER0dHRSE1N5d3T0NDA7XaitTWdR8EMIYQQ0gkCgQChoaGwtrZGUFAQAP2dTgcPHkRdXR0qKyuhUqmQl5cHjUYDAMjPz0dlZSVqamq6u+kdolaroVQqTd0MHgEzx/zlD6iiogJyuRxKpRJ2dnambg4hhJA/OcYY3nnnHb1ygUCARx55BI6OjkhKSuJdk0qliIqK6vGpEY4ePYpTp05h4cKF6NOnT5d+Vnt/f9PIDCGEEGJkAoEA06dP1ytnjOHKlStcICMWi7lrNTU1uHnzZre1sSMYY0hPTwcA7n97AgpmCCGEkC4wePBgREdH6005NTV8+HDe+9zc3C5uVeeUlZVxU0xZWVkmbs19FMwQQgghXajpqcHNBQcH89739MXATdtXXl6O8vJyk7WlKQpmCCGEkC5kY2ODlStX6pUPGDAA9vb2EIlEXNndu3dRVVXVnc17IM2DrezsbKjVaph6+S3lZiKEEEK6mJubG5YuXQqZTMYFLAMHDgQArFy5EuXl5Thy5Aju3LmD7OxsBAYGdllb7t27h7i4OIwaNQr+/v7tvo8xxk0teXh4oKCgAFlZWaioqMD58+fx2GOPISwsrKua3SoamSGEEEK6ga+vL5ydnREQEICwsDBYW1sDABwcHODv79+ug/aMITk5GTk5Ofjll18e6L7S0lJUVlbCwsICI0aMAKBta3Z2tsm3atPIDCGEENID+Pr6Ijk5uVPBjEajwfbt21FcXAwAcHJyglKpxNixYxEeHg7gfrB0+/ZtqFQqWFlZtevZuvu8vLzg7+8PoVAIpVLJpWNobaFzV6ORGUIIIaQH0AUDJSUlHc7XVFRUxAUyumepVCocOXIEAFBdXc1db2xs1DuZuDW6YMbX1xdisRgeHh4AtAGUVCqFs7Nzh9psDBTMEEIIIT2ARCKBm5sbgI5PNbV2X1VVld71H3/8sV3nxTRdL9M8ZYOuTCAQPHB7jYWCGUIIIaSHaGvdjG6NSlPV1dU4ceIELly40OrZL7t27cK+ffsAaAMnnbi4OKSmpqKiosLgfYwxnDx5ElVVVbCwsICXlxevrQA/sDEFCmYIIYSQHkIXFBgKSmpqarBr1y7s2rWLl8fp22+/xcmTJxEXF4fr168DAJ577jk88cQTvPtLSkqgVqsBABEREVx5fX09Dh48iK+//tpgmzIyMpCYmAgA8Pb25tbYeHt7w9LSktduU6EFwIQQQkgPoVAoIBAIUFpaiujoaEgkEowfPx6hoaHIycnh6n366acYO3Ysfv75Z70ElWKxGO7u7nB3d4dGo0FDQwNOnDjBqxMaGgpbW1scOHCAK7tz5w7UajUsLCy4sqKiIuzdu5d733RdjEgkwty5c1FTUwMnJydjdUGHdOnIzKZNmxAREQGpVIpevXoZrJObm4tp06ZBJpPByckJL730EhoaGnh10tLSMGrUKEgkEnh6emLjxo0mP6CHEEIIMTaJRMILGGpra3Ho0CHU1NTwRmuqq6u58uZ8fHwgFAohFAoRHh6ud/aLi4sLpFIpgoOD9XYgFRYW8t7Hxsby3uvOxtHp06ePXpkpdOnITENDA+bMmYPw8HDExMToXVer1ZgyZQqcnZ2RlJSEe/fuYcmSJWCM4V//+hcAbcbMxx9/HGPGjMHZs2eRmZnJHTy0bt26rmw+IYQQ0u1sbGx4O5IA4KuvvkJBQUG77nd0dOS9l0gkWLVqFfdMhULBXZPL5by62dnZ3JoYtVqN+vp67tq8efPg7e3d/i/Sjbo0mNGlP9+1a5fB60ePHkVGRgby8vK4LV4ffPABli5dik2bNsHOzg5ff/016urqsGvXLojFYgQGBiIzMxMffvgh1q5da9LV04QQQoixjR8/Hjt27OCVtRXITJ8+HTdv3kRmZiaGDh2qd93Z2dng1unIyEikp6ejsbERAHDz5k2Eh4dDo9HwRmn8/PzQv3//jnydbiFg3TBfs2vXLqxZs0YvIdVbb72FgwcP4tKlS1xZWVkZHBwckJCQgDFjxmDx4sVQKpU4ePAgVyc1NRUhISG4deuWwUVH9fX1vGiyoqIC3t7eUCqVsLOzM/4XJIQQQoyovr4eGo0GGRkZOHToEO/ahg0bsHnzZgBASEgIHn/8cVhbW0Oj0UCtVvNyPbVHQ0MDSkpKuADKysqKexYA9O7dG/Pnz+etpekuFRUVkMvlbf7+NulupqKiIri6uvLKdEm3ioqKWqyje6+r09yWLVsgl8u5V08dFiOEEEIMEYvFkEgkeqMhM2bMgEgkwoQJE+Dh4YGxY8dCIpFAIBDAwsLigQMZQLuQV3e+DQCoVCoukAGAvn37miSQeRAPHMxER0dDIBC0+jp37ly7n2domogxxitvXkc3mNTSFNPrr78OpVLJvfLy8trdHkIIIaSnsLGx4f4cGRmJ4OBgANqt1StWrOBd7wyhUNjis0y97bo9HnjNTFRUFObOndtqnfbmZ3Bzc0NycjKvrKysDCqViht9cXNz0xuB0S1iaj5ioyMWiyEWi9vVBkIIIaQnW7x4MdLT0zFy5Mgu/5xt27bplZsyTUF7PXAw4+TkZLT95OHh4di0aRMKCwvh7u4OQLsoWCwWIzQ0lKuzYcMGNDQ0cMNnR48ehYeHh0mTWhFCCCHdwd/fH/7+/l3+OS4uLpg/fz52797NlXl6ekIo7Pnn63bpbqbc3FyUlpYiNzcXarUaFy9eBKDdl25jY4MJEyYgICAAixYtwvvvv4/S0lK88soreO6557iFPvPnz8c777yDpUuXYsOGDbh+/To2b96Mt956i3YyEUIIIUbUr18/zJo1C46OjigoKOjRO5ia6tLdTEuXLsUXX3yhV37ixAmMHj0agDbgeeGFF5CQkACJRIL58+dj69atvGmitLQ0rFq1CikpKbC3t8fKlSsfKJhp72poQgghhPQc7f393S1bs02NghlCCCHE/JjF1mxCCCGEkM6iYIYQQgghZo2CGUIIIYSYNQpmCCGEEGLWKJghhBBCiFmjYIYQQgghZo2CGUIIIYSYNQpmCCGEEGLWKJghhBBCiFmjYIYQQgghZo2CGUIIIYSYNQpmCCGEEGLWLE3dgO6gy6VZUVFh4pYQQgghpL10v7fbyon9UAQzlZWVAABvb28Tt4QQQgghD6qyshJyubzF6wLWVrjzJ6DRaFBQUABbW1sIBAKjPruiogLe3t7Iy8trNT056Rzq5+5B/dw9qJ+7B/Vz9+jKfmaMobKyEh4eHhAKW14Z81CMzAiFQnh5eXXpZ9jZ2dH/WboB9XP3oH7uHtTP3YP6uXt0VT+3NiKjQwuACSGEEGLWKJghhBBCiFmjYKaTxGIx3n77bYjFYlM35U+N+rl7UD93D+rn7kH93D16Qj8/FAuACSGEEPLnRSMzhBBCCDFrFMwQQgghxKxRMEMIIYQQs0bBDCGEEELMGgUznbBt2zb4+fnB2toaoaGh+PXXX03dJLOxZcsWDB06FLa2tnBxccGMGTNw7do1Xh3GGKKjo+Hh4QGJRILRo0cjPT2dV6e+vh4vvvginJycIJPJ8OSTT+L27dvd+VXMypYtWyAQCLBmzRqujPrZePLz87Fw4UI4OjpCKpUiODgY58+f565TX3deY2Mj3nzzTfj5+UEikcDf3x8bN26ERqPh6lA/P7hffvkF06ZNg4eHBwQCAQ4cOMC7bqw+LSsrw6JFiyCXyyGXy7Fo0SKUl5d3/gsw0iF79uxhVlZWbOfOnSwjI4OtXr2ayWQylpOTY+qmmYWJEyey2NhY9vvvv7OLFy+yKVOmMIVCwaqqqrg67733HrO1tWXff/89S0tLY08//TRzd3dnFRUVXJ2VK1cyT09PduzYMXbhwgU2ZswYNmjQINbY2GiKr9WjpaSkMF9fXzZw4EC2evVqrpz62ThKS0uZj48PW7p0KUtOTmZZWVns+PHj7MaNG1wd6uvOe/fdd5mjoyOLj49nWVlZbO/evczGxoZ9/PHHXB3q5wf3448/sjfeeIN9//33DADbv38/77qx+nTSpEksMDCQnTp1ip06dYoFBgayqVOndrr9FMx0UFhYGFu5ciWv7JFHHmGvvfaaiVpk3oqLixkAdvLkScYYYxqNhrm5ubH33nuPq1NXV8fkcjnbvn07Y4yx8vJyZmVlxfbs2cPVyc/PZ0KhkB0+fLh7v0APV1lZyfr27cuOHTvGRo0axQUz1M/Gs379ehYZGdnidepr45gyZQp75plneGUzZ85kCxcuZIxRPxtD82DGWH2akZHBALAzZ85wdU6fPs0AsKtXr3aqzTTN1AENDQ04f/48JkyYwCufMGECTp06ZaJWmTelUgkAcHBwAABkZWWhqKiI18disRijRo3i+vj8+fNQqVS8Oh4eHggMDKSfQzOrVq3ClClTMH78eF459bPxxMXFYciQIZgzZw5cXFwwePBg7Ny5k7tOfW0ckZGR+Pnnn5GZmQkAuHTpEpKSkjB58mQA1M9dwVh9evr0acjlcgwbNoyrM3z4cMjl8k73+0ORaNLYSkpKoFar4erqyit3dXVFUVGRiVplvhhjWLt2LSIjIxEYGAgAXD8a6uOcnByujkgkgr29vV4d+jnct2fPHly4cAFnz57Vu0b9bDy3bt3CZ599hrVr12LDhg1ISUnBSy+9BLFYjMWLF1NfG8n69euhVCrxyCOPwMLCAmq1Gps2bcK8efMA0N/prmCsPi0qKoKLi4ve811cXDrd7xTMdIJAIOC9Z4zplZG2RUVF4fLly0hKStK71pE+pp/DfXl5eVi9ejWOHj0Ka2vrFutRP3eeRqPBkCFDsHnzZgDA4MGDkZ6ejs8++wyLFy/m6lFfd84333yDr776Crt378aAAQNw8eJFrFmzBh4eHliyZAlXj/rZ+IzRp4bqG6PfaZqpA5ycnGBhYaEXSRYXF+tFrqR1L774IuLi4nDixAl4eXlx5W5ubgDQah+7ubmhoaEBZWVlLdZ52J0/fx7FxcUIDQ2FpaUlLC0tcfLkSfzzn/+EpaUl10/Uz53n7u6OgIAAXtmjjz6K3NxcAPR32lheffVVvPbaa5g7dy6CgoKwaNEivPzyy9iyZQsA6ueuYKw+dXNzw507d/Sef/fu3U73OwUzHSASiRAaGopjx47xyo8dO4aIiAgTtcq8MMYQFRWFffv2ISEhAX5+frzrfn5+cHNz4/VxQ0MDTp48yfVxaGgorKyseHUKCwvx+++/08/hD+PGjUNaWhouXrzIvYYMGYIFCxbg4sWL8Pf3p342kscee0zveIHMzEz4+PgAoL/TxlJTUwOhkP+ry8LCgtuaTf1sfMbq0/DwcCiVSqSkpHB1kpOToVQqO9/vnVo+/BDTbc2OiYlhGRkZbM2aNUwmk7Hs7GxTN80s/PWvf2VyuZwlJiaywsJC7lVTU8PVee+995hcLmf79u1jaWlpbN68eQa3Anp5ebHjx4+zCxcusLFjxz7U2yvbo+luJsaon40lJSWFWVpask2bNrHr16+zr7/+mkmlUvbVV19xdaivO2/JkiXM09OT25q9b98+5uTkxP72t79xdaifH1xlZSVLTU1lqampDAD78MMPWWpqKnfciLH6dNKkSWzgwIHs9OnT7PTp0ywoKIi2Zpvap59+ynx8fJhIJGIhISHctmLSNgAGX7GxsVwdjUbD3n77bebm5sbEYjEbOXIkS0tL4z2ntraWRUVFMQcHByaRSNjUqVNZbm5uN38b89I8mKF+Np5Dhw6xwMBAJhaL2SOPPMJ27NjBu0593XkVFRVs9erVTKFQMGtra+bv78/eeOMNVl9fz9Whfn5wJ06cMPjf5CVLljDGjNen9+7dYwsWLGC2trbM1taWLViwgJWVlXW6/QLGGOvc2A4hhBBCiOnQmhlCCCGEmDUKZgghhBBi1iiYIYQQQohZo2CGEEIIIWaNghlCCCGEmDUKZgghhBBi1iiYIYQQQohZo2CGEEIIIWaNghlCCCGEmDUKZgghhBBi1iiYIYQQQohZo2CGEEIIIWbt/wPqmjeMHhzkEQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for run in range(500):\n", " x=[0]\n", " for j in range(1000):\n", " n=random.randint(0,1)\n", " if n==1:\n", " x.append(x[j]+1)\n", " else:\n", " x.append(x[j]-1)\n", " plt.plot(x)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "To investigate the average distance & displacement, we create a number of subloops. We end with two lists of the averages of many loops of different lengths" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "displacements=[]\n", "distances=[]\n", "for m in range(100):\n", " rundistances = []\n", " rundisplacements = []\n", " for run in range(1000): # do 1000 runs, each m steps long\n", " d=0\n", " for j in range(m):\n", " n=random.randint(0,1)\n", " if n==1:\n", " d+=1\n", " else:\n", " d-=1\n", " rundisplacements.append(d)\n", " rundistances.append(abs(d))\n", " displacements.append(sum(rundisplacements)/len(rundisplacements))\n", " distances.append(sum(rundistances)/len(rundistances))\n", "plt.plot(distances,'rx',label='distance')\n", "plt.plot(displacements,'bx',label='displacement')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "source": [ "The average displacement remains at zero, as expected. However, the average distance from the origin increases. This appears to be a square-root relationship." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "distancesSqd = [i**2 for i in distances]\n", "x=np.arange(0,100)\n", "y=distancesSqd\n", "fit = np.polyfit(x,y,1)\n", "fit_fn = np.poly1d(fit)\n", "plt.plot(x,y, 'rx', x, fit_fn(x), '--k')\n", "plt.xlabel('n')\n", "plt.ylabel('distance squared')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "array([ 0.6492571 , -0.11660461])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fit" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 4 }