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Количественные методы анализа экономики
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Количественные методы анализа экономики\n", | |
"\n", | |
"Гончаров Владимир, гр. 145 ФКН ПМИ.\n", | |
"\n", | |
"В качестве данных возьмем замеры CO2 над вулканом Мауна-Лоа, Гавайи.\n", | |
"\n", | |
"Источники:\n", | |
"\n", | |
"* [datamarket.com/...](https://datamarket.com/data/set/22qs/monthly-measurements-of-carbon-dioxide-above-mauna-loa-hawaii-jan-1959-dec-1990-units-parts-per-million-ppm-missing-values-have-been-filled-in-by-linear-interpolation-the-data-were-collected-by-scripps-institute-of-oceanography-la-jolla-california#!ds=22qs&display=line)\n", | |
"* [https://scripps.ucsd.edu/programs/keelingcurve/](https://scripps.ucsd.edu/programs/keelingcurve/)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": false, | |
"slideshow": { | |
"slide_type": "-" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np, pandas as pd, seasonal\n", | |
"import sklearn.model_selection\n", | |
"import sklearn.metrics\n", | |
"import scipy.optimize\n", | |
"from matplotlib import pyplot as plt, rcParams as mplRcParams\n", | |
"from datetime import datetime\n", | |
"%matplotlib inline\n", | |
"mplRcParams['axes.grid'] = True\n", | |
"mplRcParams['figure.figsize'] = (15, 6)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Первым делом загрузим данные за 30 лет и построим график:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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Gi+7J2KT7MjbpvoxNui9jj+7J2KT7MjYdj/dl06ZN5ZZlJfaX75gO/DIzM9m4sbflxca/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\nCfyEEEIIIYQQYp77//jtnhd1Ayf+AAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f4b011f3c88>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"source = pd.read_csv('mauna-loa.csv', sep=';', parse_dates=[0], index_col='Date')\n", | |
"data = source[(source.index >= datetime(1960, 1, 1)) & (source.index < datetime(1990, 1, 1))]['CO2, ppm']\n", | |
"\n", | |
"rolling = data.rolling(window=12,center=False)\n", | |
"\n", | |
"plt.title('Monthly measurements of carbon dioxide above Mauna Loa, Hawaii')\n", | |
"plt.plot(data, '-', label='CO2 level')\n", | |
"plt.plot(rolling.mean(), '--', label='Rolling mean')\n", | |
"plt.ylabel('CO2, ppm')\n", | |
"\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Мы видим положительный тренд и аддитивную сезонность с длинной сезона в 12 месяцев.\n", | |
"\n", | |
"Попробуем подобрать значения для сезонных отклонений и тренда:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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KrPTubR3VvVGE05HgEF+Xj/om1FGf1rW1bOdxvTUvVaN/3KZxP6Xq6rZ1NLR7vJrUCnU6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\ngAihBAIAAABAhPx/CH5/WuDf1WAAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f4b48118c50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"seasons, trend = seasonal.fit_seasons(data)\n", | |
"\n", | |
"plt.title('Seasonal shift')\n", | |
"plt.plot(range(1, len(seasons) + 1), seasons)\n", | |
"plt.ylabel('CO2, $\\Delta$ppm');\n", | |
"plt.xlabel('#Month')\n", | |
"plt.xticks(range(1, 14));" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Получили график сезонных отклонений $\\mathrm{{\\Delta}ppm}(i)$, где $i$ — номер месяца.\n", | |
"\n", | |
"Теперь уберем сезонность из исходных данных и посмотрим, что получится:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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W1WqIGZQHm54u1n+8HK9OcIzxKdx/Fpz3G3yfv8GpG15jS2kDN+79CwvLQlw3\n7jpmj5jd3m9DCFFkEk7GryLklzl+QrQRCfzEIadr166t3g3zmmuuabJ2oxDFKuzMrSkL+pIXYg3N\n5vmZ1RsZ+advcH73b9J1m93hllevBaA+2IcjVz3KzJIQJ0+8nPNHX9V+gxdCFC3DcgM/H5G4dAYW\noi1I4CeEECIpNePnLqgcbtZoIfb5m5SiGV/7N9i8236wS3+2DjuDOXoIV1Wv5KTwJzDlpnYduxCi\neLkVBhUhPzXhcAePRojOSQI/IYQQSQ0xA59HEfR58HlU8rEmNi7DwkOpUQMbFsNxl7HmhGv43sLv\nEU28z4hjn2TAxKEAfLS1hjXbapk18Qi8zv6EEKI5t8KgS8huKqW1TjZME0K0DunqKYQQIqkhZlAW\n9KGUwuf1EPJ7m2b8LIvA1uV83vM09pXZZZ7/6Nqby/9yOUFvkCsG34/SJcnN9zbE2B9JSNAnhMjK\nSMn4mZZOZgCFEK1HMn5CCCGS6qIGZUFv8t8lfk/T1ur/fAJfZDfrj/gaVT0uJ67/ws83v8TAyoHM\nOW0OH6w32VUbbbK/8pCcaoQQ2aVm/MBexD3gk/yEEK1JzsatrLq6OtkpcseOHXi9Xnr16gXA+++/\nTyAQaLVj9e/fn1WrVtG1a9dW26cQ4tBlWppddTGO7VeRfCzk99od9iwTnp0JG5awt9/JrO99OqO8\nX/JF5WDGUsfD0x+mS6ALQd/OxgXcgYaYSXlKICmEEOm4Gb4uJX7AXsuv0vlaCNE6JPBrZT169OCj\njz4C4I477qC8vJyf/OQnTbZx19LweOROlhCifViWJpwwWyzLkGpnbZS4YXFk99LkY8lSz03LYcMS\nOP77fND7coz9e1FKcd2460hYCQJe+6ZW0OclZljJ+Tn1sQS9Ksrb+u0JIYpcaldPgEhclnQQorVJ\n5NFO1q1bx/Dhw7nkkksYMWIE27dv54033mDKlCkcd9xxzJo1i4aGBsDO5N1xxx2MGzeO0aNHJ5ce\n2L17NzNmzGDEiBF897vfxV6vUQghcluzvZanlm8kHDcybrN1bxil4PCuqYGfU+q56iUIlGNMu4ln\ntv4PL375E+rMOpRSyaAPIOj3YFoaw9KYliYczx5sCiEEpHb1bCz1FEK0rk5/Nr78L5e3eOxr/b/G\n7JGzD+r5R0545KDH8umnn/L0008zYcIEdu3axX333ceiRYsoLS3l7rvv5uGHH+aWW24BoE+fPvzf\n//0fjzyPdfyBAAAgAElEQVTyCA8++CBz5szh9ttv55RTTuGWW27h1VdfZe7cuQc9FiHEoWVnbRTD\n0myriXB074q02+yojdKjLEBJIGWOn0owYt1jUDWf2LBzuPGdX/BRzZtM7/Ntyj0tM3lBZ05OzLAw\nLY3WjRdyQgiRiZGygDtI4CdEW5CzcTsaPHgwEyZMAOCdd95hzZo1TJ06FYB4PM6JJ56Y3HbmzJkA\njB8/nj//+c8ALF26NPn1eeedR0VF+os3IYRobl84AcCXNdGMgV9t1EjOr0FrePNXTH3/t/hj+6gf\nejbXl8Z5f+ubnNjtSs4bcBFqx9oW+wj57aAxmjCJO3P9JOMnhMilsbmLM8dPSj2FaHWd/mz81JlP\nterzdXV1Bz2WsrKy5Ndaa84880yeeeaZtNsGg0EAvF4vhpG5NEsIIfKxryEOwLaaSMZtGmIGh3cN\n2f9YOR+W/SfhI07jr5X/yqp+n7Ni/cvcNfVuNmwaRmnARzTNPkI+O/CLxM3kHfsyCfyEEDlIqacQ\nbU/m+HWQqVOn8tZbb7FhwwYAGhoa+OKLL7K+5uSTT+b5558H4LXXXvtKQagQ4tARTZjUxwwCPg+7\namPJkqpUCdMiULuZng3rYOs/4bUfwpFT2HbmE3xZOZ4rh/+Ax2Y8xrTDzwIyZ/FCAbfU06Quat+0\nklJPIUQuLZq7SOAnRKuTwK+D9OnThyeffJJZs2YxZswYpk6dmmzikskvf/lLFi5cyMiRI3n99dc5\n7LDD2mm0QohiVuOUefbvVoKl7e6ezTXEDC76+HJGv3Y2/OEyqOjL/m/8N8+sexTDiuH3lDK532Tq\nYva+MgVzjaWeFvUxA79XJef9CSFEJs2Xc5CunkK0PrkN24buuOOO5NdHH310cpkH14wZM5gxY0aL\n11VVVSW/Pv7441m4cCEAvXr1Sn4thBD52he2yzwP61rCht0NRONmch6Nqy4c5Qijxv5H7Zfs/87/\nctXbN7OuZh2ndx9DNDEIgPqYncXLmPFzSz0TJvVRg/KgD6VUW7wtIUQnkjCbZvyikvETotVJ4CeE\nEJ1cgxOs9Sy35w6nK6EydqwGwCrrQ93YC7lqzWOsr1nPPVP/k7UbDk/efa93yjfLM2T8/F6Fz6OI\nJkwaYgblIVmAWQiRm2FqPArKAlLqKURbkfobIYTo5MJxE59H0SXL3BlP1T8B2H3xi1wZ/Yz1Net5\nePrDTDvyZACihv2aOmeuYNDnbbEPAKUUIb+XSNykLmZQHky/nRBCpEpYFn6vJ1kuHom3nIsshPhq\n2izwU0qFlFLvK6U+VkqtVkr90nl8nlJqo1LqI+fPWOdxpZR6RCm1Tim1Uil1XFuNTQghDiXhuElp\n0Jdcny/d3JngjhWE/T2oDvrZFd7Fw9Mf5sTDTyTg9aBUY9lVfdTI2awlFPAScTN+Qcn4CSFySxga\nv9eD16MI+DyS8ROiDbRlqWcMmK61rldK+YHlSqk3nOd+qrVe0Gz7s4Ahzp/JwP84fx8wrbXMKRGH\nLK11Rw9BFJhIwqA04CXk86JU+oyff/eH7Ok2muE9R/DGzDco9ZcC4PEogj4vsYR9970+lkfg5/Ow\nryGOaemMJaGikVLqt8A5wC6t9cg0zyvgYeBsIAzM1lp/2L6jFKJtGZaFz2tfu5X4vTLHT4g20GYZ\nP22rd/7pd/5kuyI9D3jaed27QFelVL8DPW4oFKK6uloufsUhSWtNdXU1oVCoo4ci2sGW6nBy/l42\nDTGT0oA3GcQ1v6Cqr9nM9yrjvFBprzXqBn2uEn/j3Xe7YUv2LF5JwJtcMF4Wb8/LPODMLM+n3hi9\nGvvGqBCdSsLU+Dz2ZWmJUy4uhGhdbXpGVkp5gRXA0cB/a63fU0p9D7hbKXUbsAi4SWsdAw4Htqa8\nvMp5bPuBHLN///5UVVWxe/fuVnkPzUWj0aK8qJZxt7+OGnsoFKJ///7tflzRvmKGycv/9yWjj6jk\nlKG9s24biZv0rrAbu5T4PUQTjXNnokaUf3/zOr4I+Dmt29i0ry8JeAnHTUxL0xA3cgZzoZT5f7KG\nX25a66VKqQFZNkneGAXeVUp1VUr101of0PlRiEKWMC0CTsYv6PcQMyTwE6K1tekZWWttAmOVUl2B\nl5VSI4GbgR1AAJgL/Ay4M999KqWuxr7jSZ8+fViyZElrDzur+vp6ysvL2/WYrUHG3f46cuybN28+\n6NfW19e3++9VazjUxr0nYrGhymDfdoXanjkDp7VmzfoE8a5eArs/ZXNVgi8VlFZ/hqlNntz1OKsi\nG7h79z62lgxPO5aN2w3CCU3J3i/YuClB14atxLZ6M47982qTTXvti7YP1ZeU+KT0/ivK+8ZoR54j\ni/V3EIp37J1p3F9ui5KIWyxZsoRELELV9ljBvbdi/X5D8Y5dxt262uVWrNa6Rim1GDhTa/2A83BM\nKfUU8BPn318CR6S8rL/zWPN9zcUOGJkwYYKeNm1am407nSVLltDex2wNMu72V6xjl3G3r4Md94rN\n+9jq243XozjxpMH4vOkr96MJk4+M9UwZ2ovjjuzG/o++pC5q8LXJR3Lr27fySXQ1t1Tv5ejSE+k3\neQoTBnRvsY/Emp1s2tPA2NH9+JytTBt3OAN6lmUce2D9HmIb9tKzIsiZk4+UOdftqCPPkcX6OwjF\nO/bONO4/bPuQCqOWadOm0W3lMrpWhpg2bWLHDDCDYv1+Q/GOXcbdutqyq2cvJ9OHUqoEmAF86s7b\ncyarfwNY5bzkj8ClTnfP44H9UsYihBDp7aqNAmBamj318YzbhZ15MqVOR0+3aYJSikHB7nx/Xy3n\nH3MxfxlyJ6WB9PcCS/ze5ILskHkNP9eR3UvpWurnX0b3k6CvdeR1Y1SIYpYwLALODayAz0PMkOUc\nhGhtbbmOXz9gsVJqJfBP4O9a69eB55RSnwCfAD2Bu5zt/wxsANYBjwPXtuHYhBCiqO2sjdK7iz1v\nb4cTBKbjNn8p9dvBWsjvZW+kGm0aXLHxY66prWffmKtBKcoyrLlXEvBgWprq+hiQu2FL/26lXH7C\nQLqWBg74fYm05Mao6PQMSye7ega8HuIS+Iki9drH23j4w8zn5Y7UZqWeWuuVwLg0j0/PsL0Gvt9W\n4xFCiM5Ca01t1GDckV3Z1xCnNpLIuK3bjdNdw+/d3X9k/o65fOPlYRyz5lU47ZfUBfsC2ynLENCV\nOEHj7voYAV/jAsuidSilXgCmAT2VUlXA7didsNFaz8G+MXo29o3RMHB5x4xUiLaTMK1kV8+Az0N9\nHh2LhShEH22t4ZPdhdmcSNqtCSFEkYkZFqalKQ14KQn4kuWc6dRF7aCwIuTjTxv+xLPrHmYE/Ri0\n6hX42k1w4g9p2LIPgLJMpZ5O0LirNiZdOtuA1vpbOZ6XG6Oi0zNMjd/t6unzsLdBMn6iOBmmhVmg\nq8q1ZamnEEKINuCuw1fi9znz7zLfGd8fSRDye3l/59vcuvxWRnYfx+01XnS3o2HaTYA9D9CjFCF/\n+lNCiZPhq4/lXspBCCEORsK08KfM8ZNST1GsEpZGA5ZVeNGfBH5CCFEg4obFvobMjVpcboavJOCl\n1FljL5P9kQRhNvGjJTcwxFfBw/RmQN0nNPQZD07jlYaYQVnQm7ERi5vxA1mQXQjRNhKWTnYnDng9\nxE0J/ERxMpyfXUMCPyGEEJm8u6Ga59/fgpnjZOHO27NLPb1EsgV+4QSDKgfyjcBh/M+6T+i1Yi4h\no5aaHo2LtdfHjIzz+6Ax4wdQWZJ5zUAhhDhYkbhBiV8yfqL4uQFfrnN5R5DATwghCkTVvghxw0p2\nz8zEDfRCfq9d6hk3saeBNbW1too94Vp6lZZx69Yv6DF4RvK5PZVjkl/XRY2sc/fceTcAY47omvf7\nEUKIfDXEzOQNKAn8RDEznAl+CavwfoalZkcIIQpA3LDYXWcHfDtrY/TuEsq4bWrGrzTgxbA0cdMi\n6GvMzO1s2MkVf7sCj9GHmZXfgrrtcMY9MPpCti/6DbtDRwF2h9C6aIIBPcsyHk8pxYUTj6BriV86\negoh2kR9zKDCDfy8Xgn8RNEynIDPLMAOLxL4CSFEAdixP4rlZO121EYZRWXGbcNxE79X4fd6kvPv\novHGwG9/bD/XLLyGmmgNM7pdT6+qv4KvBI45EwKlLItORsXtY0UTFglT5+zWeXjXktZ4m0II0YLW\n2plr3Jjxi8kcP1GkEk7AJ3P8hBBCpOUuwt6vMsTOLAuyg13qWeIsvVDq/B12OntGjAg/WPQDNtdu\n5oohd9IvdDTlm/4KR58KgVL7NcHGhjDucg9dZJkGIUQHiRkWhqVblHqmK2EXotA1NncpvJsXEvgJ\nIUQB2Ntgr5F3WNcS9jXEs17wRBJGsuGK+7cbyN317l18vPtj7p1yO+O+eJvx5keo2m0w9Ozk68uC\nvuTiyLVR+++KkDRtEUJ0DPfzyK08CPrsy9NEAZbKCZGLm+kzCvDnV27xCiFEAdgXTtCtNJCcs5cw\nNQFf+uUVInGLUqfE0y31dBu+XDHyCib1ncRJn75L6brfoNd7IVgJQ89Kvr4s4CNuWCRMq8kC70II\n0REanMCvLODO8bMDv7hpEfBJjkIUFzfgk66eQgghWtBasy8cp1uZv0Ugl044biSbrLgZv492fYBe\n+gCDVIDzSo+i5MO5VJcMRGkTzrwXSrsnX+++JpIwqYsa+DyqyZINQgjRnuqcyoPUUk9AGryIouSW\neBZiqafc4hVCiA4WSZjEEhbdSgNNgrJKWpZfmpamIWYmM3R+r+Kz8N/47crH6LprD+fUbIZ1b5Io\n6c0fRjzG7KlHEerat8k+UoPL+phBeciXcfF2IYRoa27Gr1wCP9EJFHJzFwn8hBCig+1tiAPQrTRA\n0FnA2F2yobm6aAJL6+RC6m9ueZN3ah7nuMAAzmzYAh8+DcCqU3+PZfZoEfQByTLRSNy0O+kF5FQg\nhOg4DXEn8As1K/WUwE8UoWTGrwDn+EmppxBCtBHL0iz7Yjc14XjW7WrC9jy7Jhm/DKWe+yP2tl1L\n/azYuYIbl95I39AQfmYObLyTd9hxbK0YTZcMDVtSG8KE442LJgshREdwSz3Lg/ZnUzLjZ2YueRei\nUBkFnPGTwE8IIdrI5r1hPti0j9XbarNuVxtNoJTdYCWUUuqZjhskKlXPdX+9isM9QWb3vY7u+7+A\n8r7gDcDx11IbSdClJEPg52b8EgYNcYPSoMzvE0J0nIaY/XnXfI5fTDJ+nVY4brBuV31e2857eyMr\nNu9t4xG1HjfgMwtwjp8EfkII0UbWbrcDvu3781iXz+/F41EEfR68HpUx41cTSeD3Kg778HF+sXM7\nczZ+xtdX/Ji+u9+BwdPhp+vQo/6V2qiRcW0+9xi1UYNYwpJSTyFEh8o0x08Cv87r+899yGkPvpVc\n8y6bhxZ9wUsfftkOo2odyXX8pNRTCCEODaal2bC7HqVgZ20UK0vJRzhuJufdKWV32MyU8dtRt4+w\ntRb19sOcOfAsDvvWAirq1ttP9p8AoUqiCYu4YWXM+LnHqK63S1DdYwshREeoa7acQ1Dm+HV676yv\nBuwlO3IxTZ1XgFgoCrm5iwR+QgjRBiIJk4Sp6VcZIm5Y7M0yzy8SNylJybqFAukDv7gZ55n1v+LF\nbb9kr07AqAth8Cm8e+5bzB//PIyfDZBcmy9Txg/scs899TEAmeMnRBt55t3NfLCpeErUOkpDzKA0\nYFc9gHT1PBT4nP/rWCKPwE/rgsyeZdK4nEPhjVkCPyGEaANuqeaAHmWAnfXLpCFuNMm6lfi9RJuV\nepqWyU1Lb2Zz5COuDY6kuwaOPB4A1eUwtoWGYDkf6e7d84oMzV3AzvK5YyyTjJ8QbeLhhZ+zYEVV\nRw+j4DXEjCY3oCTw6/y8buCXx/+xaem8MoOFwpQ5fkIIcWiJOhm7Pl1CQGPXunTCcTPZcAXsoCwc\nb9xea809//glf9/yNyZ2uYxv7d8JfUdDSVcAQv6m82Hqo03ny6STumB7qWT8RIF5e92e5DInxSxu\nWMmLQJFZXcygIl3gV0QX++LA+L3ueSt351bTKq6Mn1vqmSjAMUvgJ4QQbcAt1Sx3OnWmBnKpTEsT\nN5o2WLHn+DVe8Px5/Wu8uO5lLmuwuHrvdkq2/QOOOTP5vNsJ1A0262MGHqWyzt1LDfZK/ZLxE4XD\ntDSX/fZ9fv/PLR09lK8sYWoJ/PLQIuMnc/w6vQPK+GlNoohuArjzEQvxd19u8wohRBtwyyhL/F7K\ngt5ku/Lm3IdTg7SQ30vMMLEsjcejOGPPNozd1Zwd0fjNJ2DQNDjpx022B4g6d07rogZlQS9KqYzj\nG3tEVz7fUUcoZV6NEIXAsCwMSxPNY+5PoTMsC1MX3sVfoamNJKgISannoSTfOX6W1mhdXNnfhFW4\nzV0k8BNCiDbgZvxCfi+lAV/GjF/M1AR0Pd32VMHh0wG78YrW8PfNb3Jc9yH0WvYA5/U6jt8Puoee\nnjpOmzoFPI0FG0HnIsm9UG6IGU0uotKpLPFz5UkDKcDzkjjEudNisnXCLQZaaxKmLsiLv0JTE05w\nbL+S5L+TyzkU0cW+ODBer5vxy17q6f76FFOpZ+NyDoX38yuBnxBCtIFIwiTot9fLKw96+bImkXa7\nmAlTquZy+HsvQPge8Pgo7306W6Mf8rul93BOOMZdDbsx/vV37Fgf4siBhzUJ+qAx4+eeQOtjBj3K\nAznHqJTCK8k+UWDcDFmxZ8rc+T3FHsC2h33hOF1LG5tRBb32Z5pk/Dovnye/tRrdX59iKfW0LN0Y\nrBbg774EfkII0QaizqLsgJ3xixlorVuUX0YNTffIRvsff70FgP2V/8mS7qUcE4txU6IURl/Erm7H\nofVWeleEWhzLbe4SiZtoramPGRzVo7QN350QbcfsJAFTIbd0LySWpdkfSdCttPFmlZR6dn7uDIN8\nM36JIvk9Sv19L8QspTR3EUKIA7CyqoZlX+zOuV0k0Rj4lQV9GJZOe2ezIQHdIlvQPYfCST9h7XkP\n8++Vfg5LRHnI6EX599+HmY+xq85ec693l2CLfZT4vfg8irqoQcywF2/PVeopRKFKZvyK5EIvk4TR\nOd5HW6uLGliaJhk/CfyKX8wwuefPa5PryjaXzPjlnONn/50okp8FI2UJB1nOQQghityabbV8uLkm\n2UEzk0iicYmGsqD9d0Os5Ty/RKyeytg21JhZ6Om3cte2v1PmK+HBaov9pz4OXvtiaFdtlJKAt0nL\nc5dSispSP/sjieQxZFF2UazcQKnY46V4AXf2KyT7wvayHakZP69H4fUo4mbuVv+iML34z63MXbqB\n/3pzXdrn8+3q2Vg2WXhBVDqpSzgUYrZfrgyEECJPWmuqG+JYWrNhdwPDD+uScdtI3KRnuZ2dc5dq\nCMdNejTbrqJ+k/1F39EopXhw2oM0xMO89n6Y4/29k9vtbYjTszyYsVNnl5Ad+IWTi7LLx7soTpbW\nTf4uVu6FqgR+2SUDvzJ/k8cDXo9k/IqYG9Bl+vn3HWBzl0JYE2/R2p2cOKQnQV/mJZBSG7pIqacQ\nQhSxupiRvBBZv7s+43ZaayJN5vg5Gb80nT2PbPiYXT4fj+z9ENMy6VPWh0HdBuILBJOdQcFu2JJt\nQfbKEifjF5eMnyhu7l3yYg+YpNQzPzVhuxSwa2nThlQBnwR+xcwN1HwZlgvy5Z3xcxdD79ifha17\nw1zxuw/4+5qdWbdL/X0vxIyfBH5CCJGnvfX2nemKkI/dzpy7dKIJex0yN/hKdt1Mncuw5wuMl7/P\n+PpXuOrwo3h23UtsrtucfLo04E2uBai1Jhw3swZ+XUr8xA0rOcZsi7cL0RH+a9EXfHPOOzm3c5u6\nFHtXTyn1zE+6Uk9wAr8i6eQoWnLnt2VaJzbvOX7O3x0d+Lk3Yt2qmkxSm9CYlsWrH33JU29vbNOx\nHQgJ/IQQIk/VDfYFyhHdS2lwunSm384OCnuU2Rcy7jp7yTubkX3w7EyiK5/j+317stVr8ej0RxlU\nOSi5jxK/N3miiSYsTEsn5wqmU1lil0lt2x/F61HJYwpRKDZVh9m4J5xzu+QcvyIPmBq7ekrwks0+\nJ+PXrbRpqadXKQmai5gbp2XK+DXO8cseSLn76eiySff4uX4mU0s9E6bm1Y+2Mf+fW9t0bAdCrgyE\nECJP+xrilAS89CwPZuzSCVDtZN26O2vp+bwefB7V2BBm9StE9m/l6qGTWRMIcvuEu5nUb1KTfZQE\nGgO/+jwatriB3/aaCKUBb8a5gEJ0FNOy8gqCzE4yxy9Z6lncb6PN1YTjKAUVoWaBn0chCb/i5Wb8\nfJ70oYZKLueQ/T/Z/fXp6OyvG/DlWpQ9dS6iaWkMS3d4tjKVBH5CCJGncMKkLOhLllym69IJdiOW\ngM/TpANnyO9tPMGtX8TqbofzaXwPw81vc86ws1vsI+RvLPXMp1Nn11I/StGkxFSIQmJYOq+79mZy\njl9bj6htNZZ6FvkbaWP7wnEqS/zJDJDL4yn+4P9Q5s5v82aINNzf82JZwN29aZWryUzqzS3D0piW\nVRCNaVwS+AkhRJ7cRdkbl2dIX6Kypz5Gj1IfatEv4fO/AdBF1xJLGGgjARuWMmHAdK4f9luG+I9r\nccEDTqmnsyC727ClPEunTr/XQ3entFTm94lCZOn87nw3LudQOBdLB8PNDHR0iVqh2xdOtJjfB3ap\nZ7H/DBzK3My9N0PGLxn45Vgayf316ejfIzPPplOp4zRMC8PUObOE7UluCwshRJ4iCZMe5YFkxq8+\nQ8avuiHOqOBOWP5r4NfQbSCz9m3kyx4T+OHmXpzlS3Dm4FOJV1dQGUy/GHxpwOuUiOhkgFmaZY4f\nQK/yINX1cVnKQRQkw9R5dbnL9wKr0Ll3+SV4ya42kqBLib/F4x6Z41fUzGZdPbXW7I8kkt1bjQPM\n+BmWRmvdYdMY3PEmcmTwUz/jDLfUs4B+jiXjJ4QQeYom7IxfqRNYpVueIRw3iMRNDm9YbT9w7LnQ\n+1jWDPo2d/s28+a+1dR6vYT7n0h9zKAykP4k5nYCjSRMGmIGQb8Hf6aaGUevCnvdwAw3WIXoUKal\nMZ2Lt2zcQKnYu3q62c1CbOleSAxTE/C2/Bz0eCTjV8zcn3u3q+ez721h7J1/Ty6F5Ab1uZbsSP0Z\n6MiSycY5fvk3d5E5fkIIUWC01mzdG855Maq1JpqwKPF7Cfg8BHyetBk/t7FLj30rIdgFvvk7ot98\nitsqwiwrLeG2PdVc2OVY9hilAFQG0wd+JU65ZjRh0hDPvoafy22OEM3RHluIjuBeCOYKhNznc/1O\nFjr3Yq/Yu5O2NcOy0jYAka6exc39v3Mzfm99tguA9bvswO9AM37QsfP8kp9fB9DcxbAsu6lVAZV7\nS+AnhDikbd0bYcGKKjZVZ28zHzMsLK0JOpm48qCvZXMXy6S6PobSBqW7VsDh44npBD9Y9AM+r13B\nt9VEvlnXAEefRm3UbmFe5s8Q+LkZv7id8SvNo3xzUK8yhvWtYOrgHjm3FaK95XvH3OpkpZ6S8csu\nYWp8GTN+HTAg0Soam7uoJn8nM/pOyWSu5RxSfwY6MoAyrfwy+E2au5h2Q6uO7kiaSiaCCCEOaVU1\ndsC3qzbKwJ5lGbdzl2JwA7KydIHf49M5wipjdu1WvJEtMPxcAp4AAysHMrziVEr3D0Z761GjL6Ru\nn4FSEMowbc89TjhuUh8zObxryzkwzfm9Hs4a1S/ndkJ0hGRXPMuihMzzVTtLV8+ELOCeF8Oy0pax\ne5RkS4uZ+3/nTslzAz+j2Y2dA8n4dWQAle+NnNTn3fJ2ae4ihBAFYltNFIA9TolmJu6aeiG/fYFS\nGvCyszbRuEF0P2z/iB6A4Qmx9+z/oGHwKRyhFD8//ues2LyXpQ17iM96gaDPS/2OnZQGvHis7KWe\nkYRJOGbIEg2i6OWb8es06/hJ4JcXw9RpF/n2elTRz/M8lLkBkPvj73b3bN68KZZjakKTjF8HLo3i\njjdXuWnq51vCCfwsbb8+XQfv9ialnkKIQ5ZpaXbsjwD2EgzZuPPm3ICsJOBF1++Ghj32BrvWArC9\nciyLj7+Py7f9mWuX/hjDsrOCQZ/9OvfuZn0sQXkwcxYv6PPgUYqacBzD0nmVegpRyPJdALmzdfUs\n9vfR1hJmpoyfzPHLZW9DnN112c9dHcUtjXQzf25wn/wcSGb88i/1TBgd9/Ng5HnjqmlzFyvZBbRQ\nGrzIlYQQ4pBVXR8jYWq6lwXYF45jmBa+DJ0z3cXUk6WeAR9nffJDrB298Fz2KuxcBcC8gdfwxt7H\nSVgRHpn+CD6P/TEb9Nn7jSUsCEF91KCyNACR9GNTSlES8CQD0nyauwhRyJJ3zHNczHeWdfySGb8i\nfx9tzciQCfF6FPKty+4Xr66iNpLgmSsmd/RQWnDjIyu5nt/BlXqmxlkdWeqZ7xw/9/PNp+ybP2aB\nzfWVjJ8Q4pBV3WCXdw7tW4HW9t3TTBpLPe3ArzK2jX71q1FffgCWBTvX8G55d/5Q+xAeBb8763dM\n7Dsx+Xr3de5cwbqYQUWOYK7E702WoJblWMNPiEKXb1c8q7OVehZQR79CZGRq7qIkW5pLbSRBTTiR\ne8MOkMz4uaWeKlPGL//lHDqy1NPN9OX6/HKf93sbl3MASOR4n+1FAj8hxCFrb0Mcj1IM6GE3dXE7\nbaYTS5go1Zi561H1dwBUvB7+/gv02tf4dfdulHl78MxZz3BMt2OavD6Z8TMs4oZFLGFRHsoe+IX8\n3uQaR7Iouyh2jXNkcpVKdY4SSenqmR/DsvCnWc7Bo2SOXy6W1gX78+X+Hrulnl5vhoxfojhKPZsH\nrJm4zwe8CsOZ4we5F35vL3IlIYQ4ZFU3xOla6qdLif1RWB/LfAIKx+3F25VSsGst3T56jJi3jKDZ\ngPGPR/F16c9V3S5mY+8zOaLL4S1e3zjHz0x2Ay0P+mjIMr7UeX3S3EUUu8Z1/PLM+BXGddJBk1LP\n/FShzKcAACAASURBVGTK+Hk9Kufi3oc609IF2/m0ecm2O8fPapb5P6B1/Doy43eAzV0CHvs9Gnne\n8GovkvETQnQ6n1Tt59MdtTm329cQp3tZgBK/F69HUR9tuSC7a1ddjB7lQajfDc9egNImC4Y/xP/r\n3pUf9umFceHv2NhjJkd27Zn29UF/Y8avPiXwy2ZAz9Lk1wGffFyL4pZ3V0/nuqrYAyZDunrmJVNz\nF69HFX25b1uzdMeWP2bTsqtn+oxf9IAyfh3f1TPX77P7/+H32u/V/RwolCUd5EpCCNGpGKbF0i92\n8/7GvVm3My1NTThB97IASilKA95kQNZcwrTYXRejb5cQ/OUmCFdT86/zeCbxGs9WdqF/woC+Y4gk\nzIwlmQFvY3OXsNMopjSQfd7esL5dcr1dIYqGkWdzhM6ynEM8pWRVF8F7iSZMqnN0N24LhpV+OQel\nFAWSJClYWuuCXeS+ecavcY5f08+BSMLM+vuRGi51ZFmrm+nLlblLJDN+qukcvwIJ/KR2SAjRqWzZ\nGyZuWOxtiBMzzGSJZXP7IwksrelWGgCgIpRmQXbH7roYltYc7tsPa15h4/hvc91H97E9VsWl/b7D\nT//lX4nhwbR0cp2/5jweRdDvIWqYhOP2cXIt0eD1KL45oX/BlIgI8VW4iYncyzk0bQNfrFIv9CwN\naaoZC8p3nnyPf27ax6b7vt6ux7VLPdNk/GQB95wKOeOXDPyazfFzfy0srfEo+z1EE1ZyqaTmUt9e\nx3b1zF6qblmaqGEmP98CXvuzLt+5ze1FMn5CiE5l3a56ALSGXbWZ717XRuxGLu78vrKgj4Z4+sBv\nR629yPvhm14iYRl8r2EVtfFaLjjsLkYd9h3oPii5zp/bvTOdoM9LLGERiduNYjIFian6dytlYM+y\nnNsJUegMK7875p2t1BMK9+I81T837euQ4yYsK/MC7hL4ZWXP8evoUaRnNiv1dP+P3RsihqWpLLHX\nss1UbQPNMn4dGDw1L1Ft7tcLP2f4bX9NNokLeBQJU5Pv+n/tRQI/IUSnsqsuRt/KkPN1NON27omm\nImSfeMqCPuoyzPHbH04Q8Cn8W5bi7zeWu7/2H/z+679nSOWoZNlmrNlyD+kEfR5ihtm0UYwQh4hc\nd8xdVvICq82H1KbiKRd6hXpx3tEsS6M1GZZzkDl+uWitC/amgtuIpfkNnLhhJf/f3cAvU7UNNC35\n7shySTNHyearH20DYFuNfd3h9zbdtiOzlakk8BNCdCq10QR9u4ToUuJnZ7aMXzSBUo0NVsqDPuLO\nUgvNVYfrWbbvEebVfgqHjWN8n/H0K+9HyO9JdiRrXOcv88eqHfhZRBJmzvl9QnQ2+d75Ts7xK/Js\nT6LIMn6u9vy+J5KNMNIv5yCBX3aWLtwbJO7vuTt/zx1nIqXTZT4Zv9SPi44M/HJ9frnVQ3vqY3gU\n+DwQNRob10hzFyGEaGXRhEksYdGlxE+XkC9rl866qEFZwJfsNOY2ZWl+53Fr7Vb+5/MbWF23BNOI\nQb8xyecC3sZ19txSz5JsGT+/1w784iYlsi6fOMS4C5nnbIferClEsUq90CumksX2zEy4F9FS6nlw\nLK2Tc2ILjXtutJo1a4oZjfPeuuSR8dNNAr+OXMfPKVXP8DNZEbTfy8Y9Dfa1hWq8LgCZ4yeEEK1u\nvzNvr7LER0nA2+RuW3P1UYOKUOo6eXbAFk5pLb1oyyJmvT6LutiX/PeOXVy5v7Zp4OfzpAR+uUs9\nQz4PsYTd3EUyfuJQ07iOX/YLoGSpZ5EHfqkXesUUwHRI4Jcu4+dRBduxslCYKQuEF5rkOpbunF1n\nnHHTSmbAk4Ffhvn10Gw5hwLI+GUKtN3riap9EfpWhvAq1WRx+kJZwF0CPyFEp9HYsMVPid9LJJ45\n8KuLJpLz+yBlgXXng3pDzQZuWHwD/SuO4Ik9mpMjznzB3sOTrwn4PMmLpEg+c/ycjF84YWbsYCZE\nZ5Vrjkzz7Yq91DNepBm/9lwrrbHUM03GTxV/1retaV24P1vuz39jqacT+KVk/BpLPTOfq1MTZR1Z\nLulWLGQq9Uy9nuhbGcKjIJryu1QozV2k1kgI0Wm4Gb8uISfwc9YHat5ERWtNXdRgYK/Gj8Cgs0B6\nXSwClDOo6yAeOuUhjikdSZ//G4lR2gffhMvAH0q+JuD1JCeqRxMmAZ8nWTqaTjAlQ1iaJUAUojMy\nm10AZuJe7Bd7xq9pV8/Cfi9GBzWhaCz1TD/Hr1CDmgNxygNLGHdEVx6cNbbV921pXbC/J40Zv6al\nnunm+GVv7tL4dbwAunrmk3XsVxliV4QmPQMKZR0/yfgJIQqeYVp8sbMu5yLItdEEIb/X/hPwojXJ\n5iupwnETw9J0SSn1DP5/9t47zo7qPht/zrRbtqqtOkhCdESx6WC8gB1jjI3tJLzEjktwix3bceL8\nHMckfhOnuAS3vC4BE/cY927AuLACWSAEQkioF9RW0vZy69Tz+2PmzJyZO3OL9u7dXTjP56OPdvfO\nvffM3Lkz5znP832+qoTj+ja879HbsGVgCwDghsWXI/Pk/0B1dORe/mnghjtDr6N5ZNGwHZRNp6ra\nBwTkEqjdw0/ghQNCyE2EkD2EkP2EkA/HPP5WQsgQIWSr9+/tMzHOqYDSwJJWa+Xbr/GbHfOkU8Zc\nsnry4RpxAVfTBTYZjqvxkyQy51VfwK35+vHT/dPy2g6dzVbPcDuHaopfvcRvJhU/K9J4Pq9b+HLf\nAX9fdK60ZElXBlH3siB+AgICAnXimWMT+OW2E3i2f7LqdhMl07+RpD3rZpzdc7RgIGuM4Pyf3Qwc\nfgwOdfCtXV/Fr0f+FWm5Dd2pbsAoAN96HRY8/gmU5Q5oa19S8TqpEPGza/bl45vJC6unAAAQQmQA\nXwTwSgDnAfgzQsh5MZt+j1J6sffv3pYOsgngJ6e1al2iCsFcxVyyek6Wgol3Kyeo7LjEtXOQCZm1\nalY96B8v4fBIYVrfw5nFVk8zIdzFsALFj9XFVe3jN8vaObCFq4d2nMQnH9yN7f0TAMILJss8qyeP\n2RLuIpacBQQEZj3GiwYAYOuxcVywvDOx/91E0cTCjhSAgFjFBbyMFgycO3g/tJGdmHzw/8Od3W3o\nKx/HJWQ13nTep7Gmew3w6zuBY5ux88q7sEG+HO9o76p4HV/xszzip1QnczwxnN+m1bHnAi8AXA5g\nP6X0IAAQQr4L4FYAO2d0VE0Gb3WspfgFffxmx0TpVBFK9ZzlBIY1nQbiXRLTBaaiPB/DXa75xO+n\n/T0cSuFQxJY0zDTYwocTrfGzHf87nlJkpFWpbsVvJskTu26xc/bYWAkAMFZw5yf8Qs+SrjTUCPMT\n7RwEBAQE6sRQzu3HN5zTMVY0Y7ehlGKybPmKH2urEK/46Th/6FegSgbfLx7GhlI/Pjw6gW8cXI+1\nz94NDO0BNt0NXPLn2N3zSrR3zou9qWpyQPxKdQS2sF5VmiIJ4ifAsBzAUe73Y97fovhjQsg2QsgP\nCSErWzO05iGk+NUKd6HPD8VvLlk9WTAW0NrJNXuv6CQZACQy9wN+phtRUjWbYFYQP/fvvOKnSATt\nKaVquAvbNUJml+J3bKwIwF1IBgCda92wtCsDZZZaPYXiJyAgMKvhOBTDeR0LO1IYzuko6FYsaSrb\n7oSxMx0hfmblDSW9/34o5edAbv4M3kodXF0exHkb78Zg90VYtfte4OB9QKoDuOEfMbq1iBXzMrFj\nY4qfbjnIly2csaj6JXVRRwqrF7bhJWcubOgYCLzg8QsA91FKdULIuwB8A8ANcRsSQt4J4J0AsHjx\nYvT19bVskPl8PvH9CmYwMd27bz/67COJr3PgOXciVdaNlo2/2thPFWMTRf/nxzc9geOdzbd3N2vc\nT54MFJdNm5/C+IHptaKzcR+acK/Pu3ftQGZkT2ibkyd0lA2rpedwLUzleE/HfhSLbtr0w+vXx5Jn\nHtNxjifBdqhP2I71H0df3wiOn3THOjw6jsce3wQA2LN7FyTHxHNH+9HXNxL7WmXdAECgSsDBQ0fQ\n13eyFbtQATb+kndd2n7QVfw2b9uFBbn9GBot+dvu3/4kHNMdN8OuPfvQpx9q5ZBjIYifgIDArMZo\n0YBpU6xakMVwTo8lcoA3sVSCYvG05pKycmR7U8/joSN34R9XrMAPzn0V5rf14DwAuObvsX7TPlzw\n3NdxrtIP3PBPMDI9yJX3Y142Xp1jxG+8aLhhMRk1djuGtCrjtZfEiTkCL2D0A+AVvBXe33xQSvkZ\n0b0APpX0YpTSewDcAwCXXnop7e3tbdpAa6Gvrw9J7zdaMIDf/QYAcNqq1ejtPTPxdZ4o7wYOHIAk\nK4mv12xUG/upQnuqD6lyCbrl4EUvvhQXLK+0i08VzRr34OajwNZtAIDz112Ea6d5cYqNe8uRMeCx\njbj4ogvRe3ZPeJvJHXhi8FjLzoF6UO14/8+G5/DrZ0/i+395lfuHB38Venw69kN77HdAuYxrrn1J\nzcCw6TjHk1AybOChBwEAS5YsRW/vhfjRiaeB48eRbmvHiy69CNjwKC684HysH9yPtq40ensvi32t\nH+19CBIx0ZnR0L1oMXp7L2zJPkTxg/4twIkTIJKM3t5efPSJhwEUMX/pSvT2noO7tj+K87PAu156\nBl510TKsP/YQgEBJX7VmDXqvO2NGxs5DWD0FBARmNQYnXZvnqgVtAOKtmwBQNMMpYZosQSIEJSOw\nVwwWB/EXP7kVP2yTcPn8a9CRmRe8gCRBSbdh69p3A7d9E1h4Jsa82sIF7dWJ30je3Y5vCC8gUCc2\nAziTELKaEKIBuB3Az/kNCCFLuV9fA2BXC8fXFIStntVtaczqOcednrBs6if9zvZ2DnyNXystaZZv\n9aycjsoSmVPnwP7BPHafdAPI4hKop6PGa7ZaPfl6Nz/chWuHwD532bd6Jtf42dTdbtWCNhwcmt6w\nnGpgtX2m4yapnpjwavy8eYJhOVg5L4vXXLQMAKBGykNmS7jLtBE/QkiaEPIEIeQZQsgOQsi/RB7/\nL0JInvs9RQj5nhdnvYkQsmq6xiYgIDB3MJgrQ5UJlna5/fOKCcSvYLo1AIx8EUKQ0SRf8dt8cjNu\n+9nrsbc0gL8rLsJbrvwUVCms0KUU2W/gDgTe/UTFz6vZGym45FQQP4FGQSm1ALwXwK/hErrvU0p3\nEEI+Rgh5jbfZ+7376DMA3g/grTMz2lMHPzGt2cePhbvMpVl/DMqm7VvOZ9vEPAq+xq+l4S4eQYjr\nfyqR2X/ceNiO4xOeuPtUoUod26ki2iphtsAMET/3/7h2DopM0JaSUTCqh7vIEsHannbsH8onbjfd\n8MNdbAeDubJP5Ng8wbAcfzEYwKyt8ZtOxU8HcAOl9CIAFwO4iRByJQAQQi4FMC+y/dsAjFFK1wL4\nLIBPTuPYBAQE5ggGczoWdaSgyBLSqoySGX+DKFoUbZoSSofjm7h/8ekvoqM0iW+N6jBW/otfC8gj\npUihSQ9rCN+VYOFkxG/YU/ziXlNAoBYopfdTSs+ilJ5BKf13728fpZT+3Pv5Hyil51NKL6KUXk8p\n3T2zI24cFtfCoVY7B6aOzbbJbCNwHIrRgoHF3oLVbN+XAkdUWtHA/deHTFz277/1P2s1pp2DJM2t\ndg6WQ30ywCuoDDk9PphsKpitCbgh4hdZyOHDXWRJQltKqUqKKaWQiUv8RguGT7RaDb+/KHV7MwLu\n4gQLnNMtJ9Sr9wVH/KgLRs1V7x/1ehb9J4APRZ5yK9yCdQD4IYAbyWzLphUQEGgpKKUYyuno6XAn\nT1lNDlk3eZQtWqG4SZKFiXIOhBDctfqPcd/RI0i/+B+RTy2OVedSigzdcnybTkG3kNXk2Khx9/UJ\nNEXyV/pS0Su9gIAAgPDEtN52DnM51XPMq/td2uleu6xZ3o2er502W6D43bfbwFBO9xfa4q6xMplb\nDdwdzwJoOzTUF5Ghmp3xlN9zllo9TSsYT9TqadhB03mZ1Gf1lCSCM3raAbiW2pkAf4w/95t9aNNk\nXHr6/KCdQ4XiF23nMDs+o2n1JXkk7ykAawF8kVK6iRDy1wB+Tik9EeF1fqQ1pdQihEwAWABgOPKa\nM5ZYBrQ2FamZEONuPebq2GfTuPMGxd7DJtpzMvpOyjh8zMQRAG2jeyq2HS/owPYf4fCz2zHZeQ6e\n6z4bXzn+Fcg0jeXFv8I5e76KbimDBwYX4cjkITyp9Fe0aNg7ZuPAsI3fkWNQJIInjlsoWRR9fUcr\n3o/hyCETZYuiM0Wwfv2xxvdxFh3vRjGXxy7QWoT7+NXXzmG2TWYbwVDetX8v8RS/Wc77UDZsqDKB\nadOWKH4MrD4qOkkGXHvfXCL/7Bw3bSdW8cuXp4P4uf/PNmXUiLN6+oqf7S+EyBJBR1rBZMlM7EXo\nwD0/1i4KiN/lq+dP7w7EgF+8eeLQKP7lNedjz0AOD+1wU0ZrWT1b+b2qhmklfpRSG8DFhJBuAD8h\nhFwH4E8B9E7hNWcssQxobSpSMyHG3XrM1bHPpnE/N1zAPtKPl1+2Esu6M8g9cxzjRQO9V60KbUcp\nxZZd/43bTv4HJMfAflXFF5ctQ06W8fLFf4frr7kCeOwJ4MI/xmlrLkFqsozrr1ld8X7zj42jsGsQ\nV16zBu0pBf2bDqNNU9BbJYlzJ/ZDNx2sWdSG3osbT+ycTce7UczlsQu0FqFwlxqEzuYsVbOxMXU9\nYKFUrDa5luJ3YqKETz6wG5/44wv9QJhWomjY6MqoGM4bLbGkEQAUQfNrNUbxI4TMqXPA5olfKc7q\nOX2K32xRkxgGc2X/5+hCTtlysPdkDoBb49fTkYZuOcjpVmy5BKvxW96dgSwR9I8XK7ZpBaILUVes\nmY/BXBljRROOQz2rZ/DdVSOn9Gz5jFriS6KUjgN4GMD1cNW//YSQQwCyhJD93mZ+pDUhRAHQBSC+\nqYeAgMALAizBM+s1Rs+ocmzRvG456J38GWytAxvfdB/edNoqGKC4dyiP09VLgN2/Aow8cNHtyJVN\ndCTU4rGLNgt4KegW2lLV18dYnd+lq1q/AikgMFfAT3qqKX4TJTPUCHmWCRl1YygXVvxqqZf/8OPt\n+OnW49h4YLjqdtOFkmn77WiMFlg9Gbdl9VpKTI2f7JG9uSL8BoofbZ3iNwtt0WMFA+/65lPoyqho\n02S/dMLhavz++Rc7AbiErqczBQAYnCzHvh4jfpJE3Lr9hHKP6UY0mXd+VsO8rOZae8smDLu64jdb\n7N7Tmeq5yFP6QAjJAHg5gKcopUsopasopasAFL0wF8CNr36L9/OfAPg9jcvDFRAQeMGA1Z2wFfCs\nFoS18MiVTKzRd2NsxTX4yJOfwtKu0/Cdyz+KS3KDuPTgl0Ef/xLQtRI47WpMlix0JqRvpr0lurKX\nOlY0bLSlqq++v/aS5XjzVadjeXd8k3cBAYHwxLTayvdNn3sEP346aGM42yxs9WIwxxQ/97pQi/ix\nljBdmfgE4elGybT9EKtWpHp6bVZ94hffzsH9f65YfsOKX6tq/Nz/Z1O7kH2DeeR0C5/9Pxdhxbys\nb3OO+xwViWBRByN+euzrOTRYBEirMspW89NR60F0/N1ZDQvb3bH3j7utHVJVavwMa3Z8RtNp9VwK\n4BtenZ8EN6L6l1W2/x8A3/IUwFG4vYwEBASepxjK6WhPKchoycSqbNqQCPEvphlNBqVA2XRCzysM\n7sfpzhgmVl6F/153J1a0r0C72oZ8z3/jsv5vgsoacPNdsEFQMKxExY8RzJJho2BYoBToSFVP6mQX\nfgEBgWRYdVo9T0ZW/W2HYgacjw0jakccyulo02Q/RKoWeRnOs0nvzEwOS4bt9ytthdVTlVyzp1/j\nl5DqCcwuNasa2DluWPFWz8I0Wj1nUwgO62932vw2EBIs3sQJXrJEsNgLQBrIJSt+7FxIqxLKCS2d\nphvRBStNkbByfhZAEDhTLdXTchy8/DPrcdbiDnzxjS+a3sFWwbQRP0rpNgCX1Nimnfu5DLf+T0BA\n4HkOx6H49uOHAQDvvWFtbH0H4BK/tCr5EypG9kqm7f9s2AY+seWjuKi7E29edRXOmX+O//yjt/4A\nTzy5Gbdeewm6F/QgXzJdMpeo+Mn++7KbdC3FT0BAoDZsbtaXZPW0HVph7Zwrk/5Xf2EDDMvBQ3/z\nUgBujdOijpS/6l9LuWSK30w1eS6ZttsORyItsXpqUatnbB+/uUX82DmeFO6SmwarJ21A8XMoxX1P\nHMGtFy9DVqs9/X/iuVHsG8zhjVec3tCYmPq1rDsNWSK+QyfuO6BIEnpqKn7UPz8yM6j4xVk1Vy1w\nid/eAbdmkbd68jV+ikRg2g72DeaxbzCPL07vUKtCdBsWEBBoOYYLwQV+y+ExXLFmQex2PMEDgLQS\nEDPkB1HY9xD++viD2FTahxdTFZnl60LPT6dSGM2uRknpQDcCq017Qt2eb/XkiF/StgICAvUjVOOX\nMEmNU5rmis3v2f7J0O+sDQ1rTF5rP1ji30z1+ioZNtKqDE2RWqT4uf+zHmhJ7RyAuXMOsHPctJPb\nOeR1CylFSlzsbBSNJOA+NWDji1u34+hoER+66Zya299292MA0DDxOzFeRndWRVZTIHkBPUljlCW3\nnUNGlX17dBRhxU/2a/9bDf66xRaP57dp6Egp2DsQp/gFixlpVZ6xRZ0oxIxGQECg5TgxHlg6mNUn\nDiXD9skeEFbkxn5/J94zvB67NA3/OjyOyex7ICnhSxq7CJe9sAhWXN+eoPhpsgRZIiibDvJeQ9la\n4S4CAgK1Ee7jF08s4gjhXJjzx01ERwsGzljU7hO/ehP9Zir5z11kcwlJS8JdPKvniGdxrWr1dICJ\noolsSm4aYZoOhGr8YhU/Exf831/jpWctwp9feTouWtGFHs/meKpopI9ff97xnjOlt6yJ4+Mlv7ZV\nInxKb3yNHyEEiztTGKgW7kI4xc+cmcUR26HQZAmG7fjpo4QQnLYgi30xip/CndJpVUYu5pyYCcze\nb5CAgMDzFicmSmhLyVjSlY5N6WQoWw7SvOLnLRPnc8P4i9EN2Kul8NkVtyB78VdxuPOyiuczoqh7\n1pBaih8hXmqYp/hJhPiJogICAqeOUB+/hJlnHCGMq106Pl7CB7//jP+9nmkcGAoaSjO1zHIoNEUK\nFL8qdkW+9mumen2VDBtZTYGmSC0ZA3uHSW8xLjbcxZs4O5Tioo89hA98d+u0j2sq8Gv8bAeFmPsa\nI9Tr9w7hHd98En/3w21Tej9KA2t0PSFIIyV3m6RSh2bh+EQZy7tdQitxvRhth2Ld8i689/q1/rbs\n+9HTkU5U/GwabJdSJT/0rdWwbIqUNwfhj+GqBW04NOK2mNDkYL7A1/ilVSlx/1oNQfwEBARajhMT\nZSztyvgpnUko6xYWFbyOLwfXo/PuF+O0scexfOO/4PaJSfz3iz6E61/2CRxJrUVWrVwxDqybnuKn\nW1BlErJjxD2nZNrIlS20peQ50T9KQGC2g636V7MSxhGOuAnt4wdH8KMtx3BoeGb6eUXBgh2AwMFg\n2g4UidRl9eQDbWZC8XMcipLpWT1lqSXpg9GAn2qKHzsHfrX9xLSPayrwFT/LccsRIoha/ewpxvvz\nX416FL8TBff9pqPWkEdY8QsTvyVdafzdK872t2Xfj0WdqZrtHACm+M1cqidbTOb7DZ7u1fkBYaun\nylk9M6qcWMPYaggPk4CAQEth2Q4mSibOXtKBfNny+11FQSnF4oH1uGrn3wBt9wBb/xcD+X6cceCD\nmK+buP3aDwDr/hyW7SCvW8gqlROHFF8TCNfq2Z5SqpK5tHdjMS1H1PcJCDQJbGKaVqREchP39zjF\njxHHmZoARsETv9GCgZ6ONGyHQq6X+E0EE96ZqPFj7RsyXo1fKxS/qJu0WrjLbGl8XQt8H7+4lhjR\nv61d1F6xTSPgF0VqET/HoTiWc98/zobaLBR0CxMlE8u89kYyIX6ap0Opb9lkYJ97V0ZNJKQODbbL\naDNH/HinQmcmrPgxJPXxW9qdwT7uOjGTELMaAQGBlmLCS9acl9XgOEDRsCui0AF39b+zdMT95Xcf\nw/HiCdyx6gwUbQcfP+tTuObqGwG4dROUAtmYrguyRKApkn/Dzesm2hNaOTCkVdlftZ+XnZmeWgIC\nzzewSVNalRPbOcRN8OMUP8PbbqYsX1EcGin4P4966ZyWQ6HIEhTPwlhtYh60cpgZ4seOY1ZzFT+z\nBTV+/FuwOq8oGGmeqcCbRsGneuqmDUUiIbIQJSxT7b3H18zVaudQMCyUvbdvVPGLuz8ngaXTst58\nhITrEOUIwWe/p5VkQseneqaV6i6h6YTtOL5dl28JdUZPbeJ3xqI2PLJ3aPoHWQeE1VNAQKClYClu\n87IaMpoM24lfHS2bDtr1QQBAf/EE7li6BJOygleu/DgmO87zt2Orl3GKH+BaL3zFT7drqnjMSpLX\nrcQQGAEBgcbAiE9KlRLDXcwY61vcfJYRk9mi+BW8pEYAGPHaE9iOO1llCke1ST5raQA0t53DiYlS\n4rHmUTRcIpBRZagKaYnix5P/KBnw/+4du5mqe2wU7Bw3bJcgRO8f7DgzxN33GgG/JlKLRPILD42G\njDRyTrJWCxnPEslbPfl0Tga2MJJWJZQTjkco3EWbuXAXy6H+ce7mVprP4JTbpD5+a3uCbdpmODdA\nED8BAYGWgqlpbtxz0DA9isHJMrrK/ehXZNyxZDFyWhZfecW9WNVxTqiPD4vNboup8QMC6yalFAXd\nqkn80qqMgm5DN4XVU0CgWWA9sFKK/LyzepZNB8s9axsjcabtuFZPmSVT1kv8mjOpLRoWrr+rD7/Y\ndrzmtuw4pjVW49daxS8pqZOJTHNH8QtSPctmeJHRrWd39+Ojt5yHNYvapkz8eDJXK9yFJ2+NKn5x\n/euSwM4lRoBkKdzOIVrKyb4fadVdBI77rPkav5kOd7nt0pV405Wn4wMvO8v/ezfnDOIVP4lTLUFh\nhwAAIABJREFUSXlymKmjh+J0QhA/AQGBlmKsYKAtJSOtyj7xK0Yv5LYJo+8uLCvswL2nnY98pgtf\neeU3cP6C892VQW7Fb6JkQiIESeJcVnP7/uiWA9uhyNZoyJ7Rgsti2wxfoAUEni/wa/xUKVbZA+rv\n4xcQv9lBCMqWjSVdborh6CkofiMFA5pHfppFcvK6hbLp+Na7aigZ7ntmVbddQmsUv+DnJGLhWz25\nsJlWkNJThcURPz1SI55RZZQ8xU9VJKQUGfoUCQxv9bRtikf2DuGpw2Ox2/Lfo8nSNCp+3gfLQlCi\nVk+m+C1oc8kSEwAzargeH3DTcg8NFyrCXQzLqWltnQ7YDkV7WsG/vvYCdGXiS0aSguN44hfX1qKV\nEMRPQECgKdhxfAJf+8NzODFRqrrdeNH0V8gyvuIXXoEs7fglzt/1ObTpQ/jwwivwrVu+g/MWng+g\nshZgsmyiI62EVtd48O0ZgNpkjt2wANG8XUCgWfBr/BQ5sd4tjhxVq/GbLYqfbjrIagq6s6pP/FiN\nXxDukkxYRvMGejrdmqhmWT3ZMa6njsy3empeuMs0kytKKSwnsL8lEXh27HgiWq3v60wjSPV0yxf4\nyP+0Kvuti1TJTZaequLHf7Q2pfj4A7vxpYf3x27LyDUhjSt+jSxG+Oqxl6gtEeKTND7c5Yfvvhof\nufkcZL37cTSBu2hYuPHT6/G6L/0hRPz8Xr4z0MrFcpzYECIgIHx8OwceC9s1fz7RihraaqhJ/Agh\n3YSQ9xNCPkMI+S/2rxWDExAQmBvQLRuP7hvGeNHET57ur7oaN1Ey/dUydtGP9vI7uu0+vK9nISYk\nCanMfKzpWuM/lo40cJ3kXi8Oaa9lBHuPWn35mGULSG70LiAg0BjYpDijySFi8dThUb/5cazNq4ri\nN9PhLo5DYTsUZctGSpUwv03Dc8MFUEp9xU/xiV/y64wWDCzxGnnXU5NXD5http6Y/5I/WffCXaZJ\n8Zssm1i/d8gnt+cv66y6PVvM48fDB+HMNvB9/KJWzwzXukiVJY/4Te38pZFUz6JhJaq17DyYl9Ua\nrvFrJFW1zJ1LQIzV0/s+rF7Yhnded4b/vFRE8fv6xkMA3PlCVPFzt2steXIcGhpHFDddsAQA/D5/\nURBCsHqhGwIz0zWr9Sh+9wNYBWA7gKe4fwICAgIAgL0n8ygZNs5f1gnddFAwEmKZHYqCYaHDuyGy\nizhP/I6O7sV79GexJdOGgWw3cPYrQ6+RUt0bJpsQTpRMdFYhfhlVhm46/ipnLeLXndXw1qtX4cZz\nezAvLipUQECgYbCJZ5umhIjfR378LD73u30AEohf1XCXmZ1A/dfv9+H1X94I3XSQVmQs7khjw/5h\n/P2PtvmTXKkOxW+koHOKX3P2yW8kX8ekvcynek6j4ve2r2/GW776hK+KnrW4o+r2ce0c+HrI2QZ2\njpdNG5ZDQwnSrtXTPc6KTJBSpx5SEqrxc6hf0hAHPpSkYNh1LQgwNHJOsvcPFD9w4S60ItyFIR0h\nfo8dGAEAnL+sCw6CcBf2uq1e9GHOgyTF71N/ciF++JdXYbG3gBOH/3jdOtx4Ts+M16zWQ/zSlNK/\npZR+jVL6DfZv2kcmICAwZzBWNKBIBGs8H3tBj78oF00blAJtHvGTJeIWa3s3xJOFk3j7g3egTIDb\n296Ole/fDyy7JPQaaVUGpe4NxrAcFA0bnVWUOUYu2YShrQ775rw2DReu6BbN2wUEmgQ20cxqcmhy\nWjJtlL3vf2w7h1mi+DkODfXbA4B9A24NUtm0kVYl/OtrXTv6gSG3vQObJCoSqRq+MVowML9NgyqT\nxFYXjYJN9OtpEs4W3qa7j9/mQ279GVPtaqUbsswXww4+53pqFmcKTK3Ne2UF0Ro/9pkEil8TrZ4O\nRcm0E0kF+x7N98os8g3YPRtpOxGEu7AaP+K/txvukkD8lLDVk+2HYTkwHeqHpjCCGBcIN51g+yBL\n8bQppci4dNX8qq+xbkUXLl7ZDYc2T9k/FdRD/L5FCHkHIWQpIWQ++zftIxMQEJgzmCy7qhu70SUp\nfuxmw1sos17tw1BxCG/79duQMybx+UkVdP5N/uoeD0bkSqbtW1a6qihzrI5wpKC7RDOh+FpAQGB6\n0D9ewm93DQAAsik5ZHGzbMcnGnEhH3FBCKzGb6rhGI3gN7sGcN2nHsY4V2M2UTJ9lSWlyFjb04Fr\n1y7klJ0g2TBp8mw7FOMlE/PbUlCb2EPPV/wasHpmNLmpY0gCW4TTFBmrFmQTt2OKn8GFuwzlZq/V\nk5ED5i4J1fhxJHe6rJ5l005Ua9n5wOrrazVx54lJQzV+3vszy6NMiN92Iq6PH0O0do/ZgXXLhmkH\nNXRRZbBVYN+jJMWvXqgKC3GauYCXegpYDAD/CeBOAGykFMCaxGcICAi8oDBZstCZUdDmJWayIJUo\n4lZCs6qMlbu+gnzb1ZBsE186cQLps/4abWk1VnHzW0CYtj/x60yrOJkwNkYUh/MGsposVDwBgRbj\nz+55HEdGiwBcq6dpU38SaNhBhHvcZGimFT9KKQ4M5TGU02HYrmWcnzwbtgPLcfxFKkUm/uSVTRJl\nicBOmOiNFQ1Q6qYcqrI05abeDLzKUguMqLJwF91y8MkHd+PAYB73vPnSpoyHJzkB8ZPw67+5Dkli\naFwD95OT5fiNZwHYZ+cvcEbucwyKTLxUz+YpfmXLhmnHt0MA+Bo/d5G0FvHj1ciGrJ6RGj9JQriP\nX5LiFyF0YcUveDwu/bMVYN/fJOJaL1jrEsN2kMHM9POrh/h9EMBaSunwdA9GQEBgbiJXNtHT0Y6s\npoCQgOBF4SdrcjfE7uIOrNv1aRC6Bz+hC6Egg58vfz3aE9KxfMXPsJD3LKVVa/w8ojhZMqv67wUE\nBKYHvEWSBToZloOMJsO0HZ/wxVo9Y1hBrT5+Bd1Crmz5LRamgm9sPIR//sVOvOrCpe54uNn2hBeL\n79BgYqpIkj+hl3nil8BuxjwSxKyezbJZ+se0EeKnypif1TBWNPDlvgNNGQfDQc/+CoSJH7MExsGv\n8XPmBvHzFT/dPS+i4S4Mmix5tepTrPHjzil2b01S/Nh5MM9ro1Ar2ZN/nVMKd+Gtnlw7h4SWjRWh\nLYHi51o9KxW/1lolWQsaNdqIsEFocuViRqtRj+dpP4DidA9EQEBgbsKvs8uokCWCjCqjmFDjl9ct\nSIT4q5/5R+/C/+z/ED49vxvY8wCUPb8CrnoPxmnWnyBGkfZbQDiYLJlQJFK1ViTDrbS21ejhJyAg\n0Hws6kj5PzPFnilAlu34k8w4qyetSvziJ093fH0zrvz472Kf2yi29U8AgJ88yk+2J7h+aEzxU2Xi\nT34VOSB+SZPn0RDxk5qY6umE/q8G3XJAiKtG9HSmYgN1poq93vEDOOKXxAI8sCAQvo/fwMTsJH5u\ni4qw1bM90s6BQZEI0oo8Zasnn3jLVMYkCyGf6smPMQk8KW2kgXtwLnnnPm/1rBruwmr84hW/VETx\na3m4S40av3qhNrlf56mgnj0oANhKCLlbtHMQEBCIgtXZdWbcm1xbSkmu8dMttKVkSBJBcXgf/mrn\n3dirUJxrtQHUBhadC1zz18jrVmIPvSx34WeJntXsm/wNlyeBAgICrcFCjvhlfOIXrOzzk7wo4uZH\nrOYrafK36blRAMDR0eo9ResBC6Ng4/V7kjk01AibKVeKLPnjUiRGBpMtnEWuvk6RSdNqf9j71aP4\nmY7jT0h7uM+qmRjmQllGPOKXFH3PwI49U0E1RZq1ih9/mP0av0i4C4OqNEfx49c1cp7il5jq6Z1X\n7D5dTLhHM/CklK+xrIWyaSOtBCUVoVTPauEuEQsnW7DQLSdU45fRwgSxVWhajR8jfg0c02ajHqvn\nT71/AgICLyDYDsV3njiCy1bNwzlLkvstTXo3uU4vuro9pSRaPSdLJpaax1AeV/D+h9+PrakUPqqc\njeEz3gmj5zC0s26EKaWgm05i+qYiS9AUCUXD8kJlql/GeE/+mkVtVbcVEBBoPvi2KGyCp5sOKKUw\nQuEujdX4JU3+1ixqw8GhAp45No7TqoSH1AN2/WD2TTbGgmGFJvu+4idxip/33Gq98RjZ1WTJDVZp\nluLXQI2fZVNffVvUMT12eD5dlNlbUzUVP/d/dkyWd2fQP1YCpXTW1WrzxzkfKWkgBH4qJQCokhvu\nYljOKe9LXrdCJDhQ/JKsnu7fO7z7dK1UTOMUFb+y6YRC2SQ+1ZMmh7uwRYAytyAEBKSfET+2wNJy\nxa9ZNX5KUOM3U6hJ/Cil3yCEaADOgRvqsodSOnvzdAUEBJqCkYKO4ZyOHf2TVYkfU/xYgllWk2OT\n1yzbwcBECX/16Kvx/t0L8UQ2i3/XUzj7lV/Hr7adwOS6XixsT6FYNP3XSYLbxN3GZMnC0jrqeNYt\n70JXVsXanup9owQEBJoPfhLJJnC6FfQS862esX38ToH4LXSJ3/b+Cbz6omVTGjvxFT/3vdiYeZsn\nwNX4yUHDajZJVGWSWHvF/p5SJKhSE4lfA6mepu34ttSo4tcsksWPg6/xq4ZoA/dl3Wk8N1zAaMHA\ngvbpUSYbhW7ZOD5exhKufjzP9YyViKv88rVhLNzFfb4TcqXUi888tBffevyQ/ztz2dSq8WMqZC3i\npE+hxo/fH0lyrZ6UUtB6wl2MsNWTgR0v3zHQcsXPHY/SYI3f52+/OFTjPBtq/GoSP0LIzQDuBnAA\nAAGwmhDyLkrpA9M9OAEBgZnD4KRL3vrHS9AtO7EIP69bIMRN6wPcVc6iYVdMGE5OltGV2wcC4I+K\nRbykVMarr/knHI305ckblYloUWQ1GeNFE2XT9pXGanjZeYtr77CAgMC0gCdoAfELQl1ONdUzqcaP\nPeWZo+OnPmgPTJRi78WIaJT4sf1SOBWLTRI1pQ7FT5GgKsm1gI2CHct6FD/Tpr4tdVGE+Jk2haZM\nnfgxxUSVCUYK7r2lFvELUj3d5y7rygAABib1WUP87l5/EJ/5zV6887og6J4thqYUtz2GLBHf4gcE\n7RwAV0k+FeI3nNdD35dcDcWPHX9Wd1ib+AWPN9rOIUT8iHsOBjVySX384lM9GZgimJ7xGr/Gvgu3\nXrw89Htcjd+WI2M4d0lnKABoOlFPjd9nAFxPKe2llL4UwPUAPju9wxIQEJhpDHg2EtuhODqanO9U\n0G13ZdO7IKZVGQ6lFbUGzsOfwJU73gIAePW6O3DbjXcBV/6lr+yxJsJxyZ9RZFQZAx4x7aqS6Ckg\nIDDzKHEEjYU0uGl9YcLXaB+/JMWPkamDw4XYxxuBnKD4TZbCdna2Xyo3MeRr/BKJH1e/pkjNaZ6+\ndyDn2w3rVfyYEpFW5dA1daoBJAxsHF0ZFWOeq6NexY99nsu6GfGbPXV+G/a7gff3PHLQ/1vBYC0N\nJGiyBEUiIaVIlYlPZE71+EaVPf7zdmI+c3b83ZZGgbKWhHA7h/oXI3TTDvXKlQiBQ6kfipREnFSZ\nQCJBHz/efgxwffy8/0tGaxWzZtX4aUqY+BUNC39+7yb8x/27pjbABlAP8ctRSvdzvx8EkEvaWEBA\n4PmBwZyO5d0ZEOL+nISCboVIWjSdCwConse3+r+J/7N8CQ72rAVe8e/AxX8GILBusGLzgPhVSerU\nZH9CWK2Vg4CAwMxDN21cs3YBfvHea0NWT9Yo3LSSFb9Yq6dVvY8fm0wn9RNtBGxBi82lHUqxdyCH\nf/nFjtB2aS7chSGweko+WY2CTQA12SUJU1X8dMvGq//fBvzvpsMAwrV1SbBsJzRuXvWbagAJA+vb\n2J5S6k71jPbxY7b+wdzsIH6OQ7HrxGTi4ynFDexRZdfGy+AqfuGQo0YRXSDIcymdcYsHbMFClSU3\nebsB4tdQjZ/l+IsggPv9cSjAXiLJ6kmImwjOlHXDdkJzAD48iZDGxtQMNDvVkwXm/GbnAIqGjVu8\ndjGtQD178CQh5H5CyFsJIW8B8AsAmwkhryeEvH6axycgIDADoJRiOKdjcVcaWU1GIaE9A4CKBM5o\nnx16Yjs+9d2b8N3ODrwsczFWvyGcFeUmgAWTuIJu+20hksA/Vo/VU0BAYOZQMm0s785g3YquWKun\n7rceiLN6Vr5eLasnU0OKhl2X1bEaoimEtgP8/Y+2YffJ8Pp3imvgzhAKd6lR46cpkpfqObUJrWE5\n0C0HI16KZj1E0nRoqAatZxqIn8WIH9fioLbiFzwXALq9kKBarQhahedGCsiVLZyeECCUUt3AHkUO\nK35ujV+84rfj+ATO+acHQnVhcYg+j1/kiCN+jCixe2tNq6d5aoqfm+rJK36IKH7Jz2W1++54aWhB\nORUJx2lW+m298BW/Kfbx4xu4A8DPtx7H0q40Lls1f2oDbAD1EL80gAEALwXQC2AIQAbAqwHcMm0j\nExAQmDGUTQeWQ9GRVryaveQbbUG3/Po+wCVlyya3IrXx06DFUXz6Z2/AtzGBP83beOWF/wnSvTL0\nfEki0JQg2jqvW54dJfkCy24Cqxe2hRLEBAQEZh9KXOCDr3SYDlfb56YbxpGeU0n15MlKUmuZehHt\nO2Y7NDZQiil+vLLDJomqkkzodL7GrwmpnkwIYYpOXVZPywnVoK3taQ/G16RaKttxvJ6rjRC/sNWT\nLfJVW4hsJVgN6eUJk/aU95m64S7BvmpcjV908eLISBFl08GJieqtSKJWzxxH/OIWGdgCgCpJSNdB\n/Hjy2EhvST0S7iIzq6f3/kmKH8CIn+PXBPILynzrD0UmTet3WS/Y+03Z6um3c3CQ1y08sm8Ir1q3\nNLG/4XSgnlTPv2jFQAQEBGYPClzASrX2DLZDUTLt0Mpc29huvHbnB5CyC3hg9734xvx23Db/Eizr\nfjM6s/EF+SlF9lcYi0ZyDz+G85d3Ia3KuGB516yL9RYQEAijbNq+Ss/XNjGSQ6l7LTEdx1MIgufG\np3rWqPHjJoX5shXrCvjaH57DuuVduLTGSnt0oupQiuVerRmPdKziF9T45RNUqnA7h6n38WPKDlus\nq4f4WQ4NjfsjN5+LC5Z14UM/2tZ0xa+DU/xScvUwC2b15OsgM6qMvO7WCA7mynj/fU/jC294ERbO\nQNjLgaE8ZIngvGWdwFOVj6dVGapMQIFIqqcUqnXlYTos8Kj65xZ9Xr6G4udbFWWCjCbX7IPHE/6G\nwl0i7RwIIXCcQPGrRpxSqoQyd10IlZBw4XKKROo6r5sJy7d6TrWdQ2Bf/sP+YZg2xY3ntjZ8ruZS\nOSFkDSHkF4SQIULIICHkZ4SQNbWeJyAgMHfBB6y0aUpirUzRsEApl8B5aAM6v3MzTCmDw9d+Ci8/\n/Y/wseV/hHf33oPJ7GloT8XbMlOKFKrLydYgfu0pBRet7J7yRVhAQGB6QSlF2QzqftiKN2/1BNzJ\nqmVTnyDevG4JgHjixya9lhOvEhqW4ysqSYtWn/vtPvzk6f6a449a0yyHhtQWxguZyqHG1PhpcnKz\nbsN2oMkSCCFNUfzYBJ8pfvXU+Jl2WPFLq7Jf59fMGj/Fq/FjqDvV0xuDJBG0pRTkPcXv2f4JPH5w\nFLtPzEzsxFBOx8J2LbH1EOvNqEjEXwQAXOKSTrB6BvWu1Y97VPHjvyZxzcH5cJKs1liNX0PhLpEE\ncDfcpb5UzLQiQzdtf6xJil8z+13WC9s/fk2q8bMdPLx7EB0pBZeumjfl8TWCevbgOwC+D2ApgGUA\nfgDgvukclICAwMzCb0Crycim3JtEXFIYs9xkWRH25ntBtXZ88Kw3YufyXiivvxuve9mn/ZQzvr6D\nR1oNFL+8bqO9SrCLgIDA3AGbQFYqfk5o8mZa1A8ZOfSJV+GDf3Q2gOpWTyBe9TMsB/PbNADJxM/0\niGYtVCh+TpBY/J13XIGsb2H1FD8pXMsFuE2bq7Vz0LhWEFNVMuwIUY7bx437h/GaL2zwVUHTdkIW\nVQCcFbF5qZ6yJIVUnEZr/GTiKobsM2UE0LBnxvo5lNOxqCMVux+aLEHy2jiosuQ37ga8cJckxc8+\nNeIXeizmeNhcjV9alVvWwF2W3MUbtoBTzdKYViWUzCD0KUT8eMVPbl7bk3rRLMXPt3raFBsPjODq\ntQtCiy6tQD3vlqWUfotSann/vg237k9AQOB5Ckbo2jyrJ6VAMWYCMJzXcfrYY1j9lXOAe64H3fFT\nfGrFGmws/gSPnnjQ344V4ydZOJniZ9kOyqYdqgMREBCYuyhx0fYAX+Nnhya3hu2EQkYY4Upq4J6J\nhEjxMGyO+CVYLC07Xi2MIkr8bE/xWzEvg6vPWIiMd60KGriHlR3AC3dJmKjyxC+p0ftjB0ZwzyMH\nao4VqCR6ccT5DfduwrZjEzg+XvafEw2t4Al6M2DbYcVPkWpPov0aPzsgLW0p2XegsP/1hJCf6cZg\nTkdPRzpEStjpwo6f6gW7sDYfEnH3g+/jx6NaT0se1T4Xo4bil1HrsHqeouJXtiIN3FmNH0fek8Bq\n/Fibl3CqJ/+9kvxtWgVGnKda48f38cuVTSzubD2dqof4PUAI+TAhZBUh5HRCyIcA3E8ImU8IaV0M\njYCAQMtQMCw/kYyt0MbZPfcNTOL88YchGTnQ41vw8fnd+F/jOF7UdSuuXfin/nZshbY68XN8ZbBa\nDz8BAYG5A9aXKxNRxqJWT1eBc3wrFZsgfnXDoYq+babtoDPjXiNqKX5x1y1KqU80a6GC+Hk9Stl+\nZDRGaIOJPkNQ45cc7mJYjq8CqJIUq678eMsx/Nfv9lf8PQ5RohdVEA+P8L0NWT2ZU6E68AS9GWA1\nfr1n9+D6sxfh3RfVrsmrsHoSlzgyMs/+bxY5bRRDOR2L2lMhUhI9z1m4C1sQYMc5KdWTtf2oFV5S\nlfhVq/GrM9WzfMo1fmHi59b4Be9fTfFjhJRdF9oSFD91JhQ/u0k1fnJQ48d/91uJet7xNgDvAvAw\ngD4A7wZwO9xS1ienbWQCAgIzBj6pk5G1qGVK3/8IXv7g9Tj7+E/gnHUz/u2Mi3BfVwfeetbteMXS\nd6DM3ZjyZQttKTnxoplSZZf41dG8XUBAYO4gUPzCE2LDckKTW/f3QHlizsPt/RO48yfb/e3c9E/q\nX5/iJrk88cvFED9Ghk4lGZBZPTVvIppVFa9BN7N6xvfxM203rfCrG57DENcX1bAdP/DBTf+snNDm\ndQt53aprAh61ekaJ4FOHx/yf2XEw7XA7ByBM0JsB23EgSwRXnbEAX/uLy/HixbWv8Yx0s/1WZJf4\n5XyrJyN+rbd62g7FSMGosHpefcYCAMCw106jO6uiK6MGtl9G/NQg3ZZhKKf7+xp3XvOots9x5wk7\nr1RZQlarTfwmyyY6UgokUl9LEMD9bvKLIoBr9TRsB3/zva3u7zUVP9v/XianesYvkEwn/Bq/KbZz\n0Ljrn2nTkAW4Vagn1XN1KwYiICAw/dg7kMOxsSJuOKd6ihTflJ0VrodWzh0beOBDaDeGAAATK1+E\nPwyO4Y7F1+MDV34EP9t6PFQ8ntPNxGAXwJ1kGJbjW0KrNW8XEBCYO2BWTEb8CAnat/CTW9O3enqK\nX8IiEZvAsrri6KTUcSgsh2JeNtnqyZ5Tj4UtajV1FT/bn9ymNTmkcET7tQFeA3fLwU+f7sfHfrkT\nA5Nl/MPN5wIIK36KFF8LyAjORMmsmV5ZS/Hjr+O2k6z4pRNq0E4Vlhfu0giYOsQ+J6b4Ra2e1erd\npgujBQO2Q9HTmQqpUW+88nQcGimiK+Pe7/79detAqZsACgSKT1TxOzFRwrWffBhXrnGNdLXOzao1\nft5j7/72U7jpgiW49eLl4Ro/rXaN32TJQmdGhW47ddsqDdsBpaiwegLAk96CQzXFjDl/4lI9w1bP\nqaffNgreKjsV8OEuRsz3rhUQy+oCAi8Q2A7FI3uHkCtbuHz1gqotE/K6jeXd7o0rdgKw536kRnZh\nW8/NOG+sD/POez2+d/k70al1ghCCtCphpGD4m08UTSzsSJ6wsIv6qPecWu0cBAQE5gaYssAHPgQ1\nveFUT9Ny/IkVrwws4frmsUlhVlVCv/OvA6Cq1ZNtU49qUEH8vBo/tnKfVeXQvoWtnsEk37QpvvPE\nEQDwEzMBhNRDLSEEhhG/8WJt4ldZ4xeN/Q8m/Owht51DfLhLs9Q027N6NgI5tsaPD3eZOasnU22j\nVk9NlvDQB67zzxtWw8UstkqF1dMd+3DOJZJHRosAqqvRTFmLgrUDYcfrd7sHsaBdw60XLw8F5GTq\nCHeZLJvozKgYLxp1K35skYc/HtF2S9WsnrJE3LYuNayeikxia1enE5Zf49ecVE92/FMzoPiJzscC\nAi8Q7B/M+4rasbFi4naUUhQ5xY/FUeuGDez6BaDngKe/jYlMDz6yIIV/fukdoPPXoCsV9NRLccXj\nlFJMli1/BTQO7KI+WjAgeTcmAQGBuQ9WI8Z/p1OKXJHqaVgOLCdYAecnjA4FTk6UQ03emeIXtcSx\nCXFWk5FSpNhUTzaprmdCG51g2k60xk8OT0pDsf1BXVfJtH2bJc8lDTsc7hI3JqZaTpSMiseiiBLV\n6OsVuYb2bDLrpnpGrZ6VVsSpwDoF4scOJfvMZULQnp4lxC/vEb+OVMiGKEsEEmf9ZfBr/LxjwBZU\nGQFgBJt91tVsvUlqF7vHmpYDx1ugCNp6UBC4xIvV+NGY4CSGiZKJzrQCpYHWCWw73voatXZWs3oy\nQmf6Vs/ge6Up4e9Vq9s5NKvGT5YIZIn4527UYt0KCOInIPACwbGxIlKqhJQq4ehoKXE703Fv0lkt\n7K9Xh3cA3/tz4MtXY+zA73DH0sU4XN6CCxauq1jVy6gyDMutacnrFmyHxjZR5l8fAEYLOtpSsmjK\nLiDwPEGg+IUT+nQzavWkoVozfoL19JFxXPnx3+HrGw/5z2E1flFiw2xuKUVCR1qJrfEz7cDiWAtx\nNXN8n8ClXWn0dAYqHD+RkyN1Xf77OzzhtZHirJ6WQysm5Lzix6NvzyB2joSVm6i1M/pgp/lJAAAg\nAElEQVQ7T4QZSYwNd2l2qqdTmRxaC3Kkxk+SgHZNgWG5wRiFGSR+g17gUE9HOhTQkWQF9AN8uNAX\nfmGC7QP73bTdJMxDw4WK10qq/1vWnfEfZ9uwBVjLoWCHP6PJcGj1OsLJkqv4MRWxHrCWT3wgUvRw\nVHM2Bopf+Dsuk/D1YCbCXZpV4we442fn7mwNdwmBELKUEFI7jklAQGBWYaJkojujYcW8LPqrKH6s\nJCbaQ6dt4CkAwNF8P960fAkOoojbT78Tt59ze8VrpP2odRuT3gtWU/zY9iMFQwS7CAg8D+A4FEXD\n8u1fGa7JdUqttHqatqv4MWWEnzDuOjEJAHjy0Jg/CWWvl2T11BQ3kTjO6llvrzS2H6HfvURQpkDc\n+apz8bW3XuY/zit+TN1h4S3++3Nx+7xtlP0fnWgzFShK/N76tc341OZw4mnU2hlVLMM1fu7/ce0c\n2IS0WVZP1sevETACwastrBdswQu8aeYYG8FY0VVf57WpflALG2Mc2PHliSG/MMH2gV+UePDZk3jZ\nZ9b7JRAMSUmrK+dn/ecywscrfuzwZyJqYxwmSya6MipUWao7BIktkvD7GLV2RlNyeciEwIqxeqqR\n00ZJSL+dTjSrjx/gkn7WMmsmwl1O5R2/BWA3IeSuZg9GQEBg+jDhXcgXtGmYKFmJNo+yf9HlJmoy\n0DGyFUZmPt6+5lyMpTvxmsUfwxU9vbGvkeGI34Q3WemsavV0L0WUBmEyAgICcxf/+dAenPfRX2O0\n4Fri0pwdUpOlSqun7abcsUljV0bF+25YG6ppy2qyH+3fpsVbPZnipylSKPqfB3vfepqlR+e8tgMv\n3MVL9dQUdHtBMkBYEWCTxOiqPj9p5Ukk23f+uDgORd6zZ46XwsSvnvFGJ8gFrsaPkcK4kAlJItBk\nKbZP4qnAmUK4C/tMWY0fwJJOPZvkDPTxmyxZkIi7QBrtMRcHNUb95c/PuH5+IwUdlkNx9/oDWPXh\nX/nHIUmpWznPJX6G5fifGyN+pu2EFD8AVZM9J8sWOtNuGmm9tkpG0HmyFyV61YiTLElwOMVPUyRo\nsoTolEBpQIVsFnzFb4o1foB7PSgYM6f4Nby0Til9GXF9WOdNw3gEBAQaxNHRIpZ3Z6oWTTsORa5s\n4cweFW0pBQ6lKBp2rLpWtiigcorfjp/g9b99PzRzEjjnFnz46rdjWdtK3L/FSSRzLOygZNqY8CYr\nnenkyw1/4xTBLgICcx8/3nIMADAw6RE/jQt3URNq/GzHt5gTQvDBPzob2/sn0LfHTQ9uSylcjV91\nq6cmy6EgEAa+NcSppnpW67+lypUkoMLqaUcUv0iPN36fiqbt1wROcMQvaTIeJXpRxS8fk+ppxbRz\nAIIQnmbA8to5NAK2vR/uQgg6OOI3k1bPXNlER1oFIQTh9gXx+6jKlecCX68Y3QfTpv65fPcjBwG4\n9ZmaoiUS3ZXzmdWT+p8bU/5s3upZQ/GzbAd53UJnRoEqSXX1uwSC74pcxepZbZ6iyK7ix85/ZodV\nSfj91Rlo59B8xc8jfnNE8QN1saPZgxEQEGgMg7kyfvjUMTxzbLzqdnnDrbPryqh+wXScBQoAyt69\nIKspwDPfA/3BW/HVjjR+1t4GLLsE1592PRamVgKA30Q5isDq6WCybKI9pVQUu/PgwxGE1VNAYO6D\nTXBzZZesVNb42aho4B5TB8ZfD7Ka7JOArJpg9YwqfpHr3Pq9Q9iwfxhAfX38osSJ9fFLRf1nHnhV\ni9X4RSd3UcLLh7sAYUWHVywnioHlb5DrBVhtvHHtHBhRYdY83mLLw7XkNrHG7xRTPf1wlwrFb+ba\nOeTKFjq8xcxQ8EhCDVjQwD14nCl+v9x2HMP58Odp2k6isncqip/lUF9984NlEhS/HFeeocikfqtn\nDDmqUPyqWD0l4tb4sf1TJLf1S6XVcyZq/IIxTRWawlk9Z5PiRwhZB+ArAJYDeADA31NKx7zHnqCU\nXt6aIQoICCTh5IRb37HrRA6XnDYvcTtmt+zKqP5NKq9b6InZtmxR12Ix8DTKP38P/u/qc3E/CrhM\nvhi3Xvke/7kA0JEQ2MLX+BX04AaZBE2RcO2ZC/HcUAGneXUKAgICcxc+8fOuFZkI8cuVww3JTdsN\n7Ihaqdq1MPEL+vgltXNwJ1SaIkGNiX0vm45vc6/L6pnUziFhwqaEFL/4cBcrtN+UI36e4sepGXk9\nUPl4qye79leMN5pCGpkgFwwbnRkVQzkdjhck44bqxBA/RW5qqmdabWzSzDgCbyFkNX75Ga7xmyyb\nfmAZfy4k1bCxek8lZPVU8fCeQTxxaLRie8uhFYTWt+YmEN24Gj+m6tl2oPixcookxW+yzFw6rMav\nPpIVS/wiRKmaYqZIBDYNFD9NcRU/2Qk/R20gabRZaK7iR2at1fPLAP4ZwOMA3g5gAyHkNZTSAwCS\ni3UEBARaBmajGpgsYySvY0FCjydmEerKqH6Bd1zMOeCGuyxVbAz8+O34wLKleBYF3Hra27DIvhlU\nzYAgqBNpS6jHY1ZPRvy6uBqYJFy2aj4uWzW/5nYCAgKzH2yCNFmyIEskRCzSqoxNB0ex9WjgVHDb\nOVBokSCUbCp8jQkS/5jiF56U6r7VU4IskQpyp1u2P3E+1XAXnVPpoojr4xe1URrcmPnXYqSAD3/J\ncYofH+7CUiWjqEfx6/KIn+U1uwdQ0c4BCEJ4moFTUvxirJ4s6XGiaPqf40xYPSc5xY9PoU7axzjF\nryOtJPajM7ielgxs26TPZFl32n8uOyYlk1f83O1YjV8xgfj55RkZFYosVU3/DI2Pxil+4W2qhrtE\nUj2Z4idFpirMEtpK8PbTqSKlyBj3vr+zLdylg1L6IKV0nFJ6F4D3AniQEHIlgNYecQEBgVgMTJb9\nOrsk6w/gJnRJhKAjraBNU0BIFeJnU6w+ei9uz+o4qKXx+es/j9eufjMcGkyyWC8ovuUDDzbpKpsO\n8rod6scjICDw/AebIE2UjIq+nO/uPQOnLwgr+4ZNYdkxih9n9TRs6oe7JKZ6clZPWZIqJtY6Nymu\nR8mI1vjpXpsa3p7Ogx9/XLhLR0oJKX6GZfuPMwLIT+zZdTqryWHFz5s4Ri+t0QlxXKonq7fmJ9lx\nE1DWb7EZsOzGUz3jrJ7sGI1xttcZIX5eu4Mokmv84sNdkmA5TsW5bfnEL35/U4oMiSQofo7jt1LI\n1iB+k6XA6qk2YKtk5xpP7qLHo3q4i/sYG7tb4yfHp3q22Opp+fs29dfKaLJPrmddOwdCSBf7mVL6\nMIA/hpvqefo0j0tAQKAGLNvBSN7AKm8ClXQRB9wVvI60AslrLtumKaF0NwbHcZu3X37wO7gttRTf\nvuU+3HDaDUEzX29CUjBs1w6asFpFCEFalZDXTZRN21+lFRAQeGGATXTHi6bvAGB40WnzcN1Zi0J/\nMy0v1bNKjZ/F1T2xa0p0cswmxSlFcq1jHPGhNGyfq6uPX2QTNimtpfjJEvGVIH6y35VVK9JMWc0d\nH1zCwGqxV8zLhGr8mNsjoxB89jd78dudAwAqFUozEoLhhna4hMWhQXR+nFLlhrvMXI0fswmyMbrK\nsfu3Ma7FgTEDVk++xo9HUo0fOwf4hYH2KiUQppVs9az2mWiK5NX4ecTPtN2kTE7xY98dtoAbRaD4\nKZ661liNH/85R3vyVvvOxRG/jCYjFTmmagNJo82C7bgKbDN6DGdU2SeSUYdDK1CN+H0SwLn8Hyil\n2wDcCODH0zkoAYEXMmyHJto/eEyUTDiUYll3BhIh/sUyaVu+j56bdheOBi+YBXxo/Z2QjSehWXm8\n++K/wpnzzgRQ2cy3qFs12y6kVRkj3s1ZBLYICLywwCZ/4yUzFOzCsKgjbEs3vD5+akQV4q8dptfy\nAQhUi6jVM6z4hYlfZXJiHVbPiOLHFJRUAvFT/Ak+13Ca2zalhFMS+XAXvn6NgVk9V8zLhhS/AU/x\nsynF/246jAd3nARQqfhRGpBBy3bVTnYvcBMUPcUvtsZPSuwZ1ygsx/HDbhqBRLjaMUJ8hWR0phU/\nrsaPR2IfP6b+chP9aopfXLhLUo3fl974Ivz8vdcAcD9Hw3ZCx0S3HNg2BXtrZp8u1FnjV2/rhPhw\nl/A2LOwpDuwYlUx2ThL80y3n4vVnho/zjFg9HdqU+j4AoYUwTW69GyqR+FFKv0MpfRwACCHthJB2\n7+9HKKXvaNUABQReaPjOE0fw7ccP19wuCFhRkNGkmopfmPjJfg8kANg5shO3/eI2PHTkl5hn/sb9\n42lX+Y+nlDDxKxi1Vby0KmMk796cRYsGAYEXFhgBmigmEL9IPbJpObGNxHmbuGkH1sTEcJeI4ser\nFdGgkvr6+IW3KdZQ/NjklSd+vJ1LlSXfrmrZDhwaPM6uk3ySJ7vOL+/OuIt93niGPGu/7YRruuIW\nDdl+MpcHIywO1yw7lvipzbN6noriB1QGhbDjzuodNUVqeR8/x6Guchqn+CXYWV0FOPx4tdAz06Ew\nrPBnmWT1XLe8Cxeu6Abgnve84ge4yh6f6ukrfgnlHpNcjV8jQSpskYQPdImmeFb7ylUofoqEF58+\nH6u6wtcPRWp9uIttn9r5Gwf+eqjOMsUPhJB3E0KOADgM4Agh5DAh5D2tGZqAwAsPhuVgOKdjtGAk\nNlhnYCvBHSkVGVVOjGbWLRtFw0ZXNiB+WU1B2bBBKcW3d34bb7z/jdDtMu4ZnMDfjT7jbtS51N/e\nt3p671E0rIrQhSjSquxPQoTiJyDw/IDjUPx+90DVlXsgIDOG7VTU+AFhxY94dUlFw67Yll9gchW/\nSLhLZBLMVBJNkSBVKH7ha2Q9dULRVM9yDcWPESiesPAqD69W8GMFAiLAB7owErh8XgaUBo+xybFF\nWc+3IMSjYh+8v7FG8KwNTyhII6GPXzUnSSM4VcWEkRX23KBNiLcvabXlqZ55wwKl8anWSftICIEq\nSSGCXW3x1LTqV/x4osWIWpnbpmjYbo1fpI9f0mJxruw2p2/T5IZaJ7DhKiHFz/15XlbFP91yHm46\nf0ni833i532eUfWfIWrhbgWaqfjx17hZVeNHCPlHAK8G0EspXUApnQ/gegCv9B4TEBBoMo6MFvyf\nk8JXoo+3pWRkNAWlBL8+X6jNwG7o393zXXxy8ydx7fJr8cPVb8CVhXGMasuAl/596DWClE5P8dPt\nmlZP/uLWJsJdBATmPCiluOMbm3HH15/ET57ur7otTySiNX5AmPhpsoSy5aBk2hWLRO2hGr+g7omt\nmkebSwcN3Ctr/CqsnnXULkVr5thkOVHxkytj+9Wo4ufNkHlbKuAu4gFBCwzAJRmaIvkK6XjJdVGw\n17Ad92e2b9HxAkF7CKbwMMXP5lI94yagWhNj86eq+MmReskC53ipN3WyWfBJZ0wf22r7qMgklOpZ\nrcbPcpyK2kX2OVYQP+4tNUVC2XRCFt2yaYdSPSWJIKvJiTV+ed3yQuDcNN56vif8+PhwF/Zje1rB\n265dXb2Bu/eYzlk9Y7droMVEs2A7tGov4kaQ4eZOs6qPH4A3AbiIUupnBlNKDxJCbgPwDIB/m+7B\nCQi80PDccNH/ebRgJPbJA9yV4KwmQ5ElZFQZQ7n4FXi+lQODLLs3gltWvwYZJYNbz7gV+OpNGEuv\nxHfXfg7vuf5lodcI4p8tWF5iWFKiJ8PpC7J4tn/CfX7Mir+AgMDcQsGw0bdnCED1MCkgbGmrVeOn\nyZLfazRqC88m1PhpihRLTKI1flYVxY9Sd0JXbSU/qiwwZ0Wi4ifF1PjxxE9KJn5sgYy3ehqWG/7S\n7Tk2xosmTl8QtISwqbsjbLJcVfFjxM+7F9i0uuLXzFoqVzFpfJLLPhv2VEYG+FKHpJ6G0wVmhWxE\n8QPcc4ZfMOio4oQxbAo5IaE1eh7zRGthewpDOT20yOEqfhQ8x8hqcmKNX0G3/AUYVSZ1W2kZP+SP\nga/U1vHZSxGrZ7WE1HrJaLMwbYrfLGvnQHnSx/2xBKD1lbQCAnMUBd3Cz7b2+yuU1TBWMLCg3e15\nN8KllsUhr1v+imFWk/3akyjGvSL4rowK27Hx5a1fxr8+/Q6YTgkSUnjt2teC9D8FcvRxPLPkT2Kb\n7KYUGSnVbbrM3qdWjd+ZPe3+DakZSVgCAs9XEEJuIoTsIYTsJ4R8OObxFCHke97jmwghq1o/SoSu\nYUlNpBnUkOJXSfzmcb09VUXywzoqFT+uxo9vPyC7DdpNy8HgZBk/3nLMHRdnn4wqfuWYCWwtRSs5\n3CWhnQNT/JKIn0J88sr3HHSfKyGryaHgLdYs3id+HumwIuNmZMCOmRAz8sZIKyPX4Z5pldPBZsbm\nn6rixwg2G5+rQgUNsNtTSsvDXXibaRTV9vE/XrcOb74qCMWvnurpVISqJFk9+dvr8u4M+sdLIYtu\nybRh2TSkDGY1JbHGr2BY/iLE+cu60D9ewrZj47HbhsYX28evMtk2CQpH/DRZSpw3KJLkL9q0Cm6r\nmebX+M0qqyeAfkLIjdE/EkJuAHBi+oYkIPD8wt6BHA4OFfCH/cM1t50sm+jpSCOjyRjNVyd+Od3y\nb+BpVYZuOrEXwpGCgfaUgnFjCG9/6O340jNfwprOswEAxugxYHgf8Oin4aQ68eziW5FJsFd0pFVM\nlk0UvYCAWjV+hBD8Ze8avO0lq2vut4DACxWEEBnAFwG8EsB5AP6MEHJeZLO3ARijlK4F8Fm4qdst\nB28/r1VXFW3YHkWoBk6W/AWqqC185fwsXnH+Yle942r8VJm4li+H4m+//wz+9vvP4OhoMUSmpArF\nr3HiVxnu4h6DWlZPPsGSVwddMuUpfpEaP8AlMnyNn2k7UGUJXRmXKLPjVKF0+tbPZMWPKTfsGPPt\nHOJi5ZsZm2/ZzikpJoxgh+yMsuTfh1ziZ+PAUH5K4zs5Ua67njFQ/CqJW7V9fOW6pVjb0+H/XquP\nX73tHPgAlWXdGZyYKIUU+ZJhu6mqIeKXrPjldRvtHqm9/fKV6EgruOeRg4ljDcYX9FtkYENLanMR\n2g+P3JdMu+r27LFWBry4Vs8mKX681XMGFL9qS/bvB/AzQsgGAE95f7sUwDUAbp3ugQkIPF/ALtKs\n4W4SHIeioNvoTCuY36ZhtJbiV7awvDsNIIg2L5l2xc1kJG8gP/pNvP6HP4Ulyfi3a/4NV58cx7Ed\nX0Tn9keB0jBgGxi74sMwlTakyVjs+3Wm3QkJW42uZlNhSCly4sq4gIAAAOByAPsppQcBgBDyXbj3\n2J3cNrcC+Gfv5x8C+AIhhNBaCVBNRpFLAq5l/+Inf5mYGj8eqkIwlmD1TCky7n7Tpbj584+GIu5d\nxc+NrmcT9sMjRV8hI4RAkUio5i2uNUEtRSv6cK12DszSxlvbojV+zKZpRBQ/wFWBchFlVeOsnsy6\nH1WDqlk92QS5HHFrWHbQziFW8Wui1bOWpTYJjBTzz1UVibN6qiibDm789Hr88n3X4oLlXbGvUw2U\nUtzy/x7FW65ahffdeGbN7XN6kHoZRSPulq6Y5zO450h8qmdljV/wnsvnZWDaFMfGgrKRkulZPbnt\n2lJKYo1fQbd8pb0jreLatQux+2Su5v4wHibHNHCvR/Fjm5RNp+r2zE3QypYOlkMTE1sbxUyHuyTO\n3CilOwghFwB4A4DzvT8/AuBdcRZQAQGBeLAb9UjewETRDKVr8sgbFhxK0ZFW0ZWxcHS0GLsd4N7I\ny6aNdi8MgK0glYww8XMcivzoUTwy/H2sti38x/AYTl/6NOgfPo9F1IGjpIGulYDWhmPnvR3YO4Z0\nQrxwR1rB8fGyvxpdzaYiICBQN5YDOMr9fgzAFUnbUEotQsgEgAUAKmwEhJB3AngnACxevBh9fX1N\nG+iukYA4HTxyFH19g6HH8/m8/34nTgbThJHBk+jrq1xQWpghKFkUjlHGiZw7idu781nIA7sqti0V\nSxgwC9hnuq+zccMjcCwDR48dh+JNAB/Y+DSGig4kOOjr68OxIwYsh+Lhhx8GIQTPDFVOdNdv2IDu\nlBQaO4+RkVLo97Gce13e/szTyB+KX9QiAMrlov96kwbrQweMjw5jouCO7+C4ezz37NqBzMgeAAA1\nSjhyvOw/t/9kGabuYOsTGwEAT+/Yi9P0Q8iXwtOw8VwBfX192PtcsGCoEDf1c+Njj6MnK2FLv3sv\n2rV9KwBg77790AfcieeO7dvgHA/vz8AJHSXdaso5ZFg2jvcf88+ZpOMdhVl2j7dtmf721Lage60O\nJoZP+tv+fuNmDC9q/L6kWxTDeQNP7T6IPrl6aFE+n8fTR9zz85knN+FwOjxxb/RY/fWLUth43MLm\nk+FFifGJSUSXdbY8vRXlIzL2P6eH/r5x4x/Q5pVojAy65/j2w8F3c8u2ZzE+aaFDsf3x6fkyxiwa\nO96BkSJ6spL/2PhoGRM5p+a+bRtw3/vpLU9iZL97Lu066f6tmJ+s+fw9J9xtTw6NgNrB+0XPlUOH\n3PO4b/2jaNdaU0ZyYqAMvVT7GPBIOscPHwus3H94dH3LS2ESvyGEkLUAFlNKvxr5+zWEkJOU0gPT\nPjoBgecBJoqm30h4pKAnEj/ePtKpq8jrbpBKXJLUWCGo2wOCFaQSZ93YdGITVqRW4eZdd+I15VEs\nfONPofzsPcCGz8JafgW+t/B9uPrMRVhz7osBx0bhcB6EAEkOTndl1cZY0YAiERHYIiAwC0EpvQfA\nPQBw6aWX0t7e3qa9trVzANj8JABgYc8S9PZeFHq8r68P7P1+cHwLcMKtClm76jT09p5b8XqPv8SV\nCN7wlU3oPzQKALj2ikuxbkWlavOFXRuhKRKWr5wH+eAB3HD99Wjf/DAW9sxDWpXx+IkjQOcSLOwE\n2oZPore3F9vsfcCBvbjupb2QJYLysyeAp7aEXvfyK67Csu5MaOw87tn3ODAy4v9OJQWAiauuuAzn\nLOmMPU7qbx9AZ3sbenuvA+At/v3+IaRUGcuWLMZI/wR6e3vd8Ty+BS+75jJfqbp3/yaUTBu9vVcD\nAP73yJPIkxJedsNL0L7+15i3eAV6e8+D9MhD0GTbV0BlNYXe3l7sxH5gj0siM5qrHr74sstxxqJ2\nHN90BNi+HdddfQXw2HqsXrMG5y7tBDY/gctefAkuXTU/tB9/KOzEhuNHYo9Lo6AP3Y/Vp5+G3t5z\nACDxeEcxb/sGHMtPIJ1K+du3P/57TOguIT/njFX47ZH9AIBLLr4ILzlzUcNjOzZWBH77MLr+f/a+\nO0ySq7723EodJ8/G2agNSrvSKme0SiCDQPAACTCILAwm2TwZgQU2YCPsBwZjMBgjhMgCmyAQIAHS\nCgQKSKu4q7hBO7s7G2YndayucN8fVbfqVnVVdc9MT9x7vm+/nemuqa7UVfd3z/md07MQmzefkrjs\nli1bsLprJbB9Oy684Hx05dxe1V/fDgDjPlabAYzetg1/PrA78Hoqk3Uy7wq+hPXEjSfhwvULcPfo\nk8ju3+vJOS+44Hyv33DJgQK+sPX3OFh24hhKNQsr16xH5vALSNGyt30/6H8YOweL2Lz5wrptovff\nhVV93di8eRMA4FeDj2Nn8VDDfSs9PgA8shVnnXkmjl3sSFqrTw4Aj25Fb3cXNm8+O/Hvy08MAI9t\nRTrfjpxd9T4vfK3037cbeHobzjrn3IBJ1FTi+/0PoYCy951uBnHX+Oij+4AnH4UmS7joootauJXN\nIYlj/AKAsYjXx9z3BAQEmsBoxcCyrgyA5IgG3yJaRXtGCWQ2hXHIDe9d1O7c9DKc1LNiVnDjAzfi\nHXe+A9//2auxbOwRpC/5HJSVZwNv+glw9XdhXPMLHM4fi7GO4wBZBdS0Z+Esxcw+sX6G/SNV5NOK\nMGwREGgN9gFYzv2+zH0tchlCiAKgA8ARTDNKtebNXXiJZSpmkkiRJSiyFJgMi4t+UWQnT8zpeWPy\nMRKQej53qIgy50jIZGbMZj6qxy9J6lnUzfoevwbmLgCgSiTQD8RkoS85cTEUmXjHrn/IKV6Wd2W9\nZZ0ev7C5i7OujozKxTnQQJ+1Z+5i1R93tg/VkLmLaVPv2ERNMDo9lJPvo6KUulK5Fkk9uWPL99mV\n9OZ69MJgbRXNGLAB/vHk+zgnY/yRiYhGMrjoEgab6/Hj45SCPX5pbxtZUVqpmTAsO2jukpJjj5dj\n7uIf15QqNfy+A7y5i//aeMxd2LK6YSUuz67VVlybzWKiUuUosEnzuLiKqUbSmVhEKX0i/KL72qop\n2yIBgXkEw7JR1E0s6chAIiRg0x2GJ6FMKR6TNxYTknxwrIqUKnnLsYfAtiNP4qrbXoPvPf09vFHu\nxV/3b8edaz+GzGmvc/6wayVw/BVIqc7f8c3svEtoFJh19eGCntiULiAgMC78GcA6QshqQogG4HUA\nbgstcxuAN7s/vwbAXdPd3wf4A+v2dGMnRb5gaqQO6OR6neLuLayfTzf9/h9VlmCYtter9NzBAoq6\nVVf4sfFhVF9inC387546iA3/cAf+7DKRDHoogiEKiizVxVnc++GL8C+vPgkaV0ztGSqjPa0ECt98\nWgk8JwzL9j6rM6t6sRc1y0ZW5Qu/+h4/lp/IilsWjM0iMmybouZKJqMGoarkOJBO9lJjmzSROIdU\nROEXMMPhnlkVo7nCLQxW+DXKzmVgx5jv47z7/27GzW89Y0KfH/X9MDgjo/DnhuOU+MnatrSKdveY\nsL5QL86BO8U5LbnHjy/8NLm5wo8Vpvx5ZldOM0UOK54bmruwCZ1pzPKb6MRFFFihPxNRDkCyuUtn\nwnuZVm+IgMB8BOvv68qpyKXkQNN+GGMVAxlNhqZIXtM4C18P41BBx8K2tMe6pRUZz5Xvwjcf+goW\nmDX89+EjOLu6B8+edB129bwKLw7NTssSgaZIgcFbSTfRkdWAmNZCfnAW5WYmICAwfrg9e+8FcAcA\nGcA33B77TwJ4iFJ6G4CbAHybEPI8gCE4xeG0gzEi3TltXIVfVIA7D08uh/o4B+5H7QgAACAASURB\nVAbVLZgMy/YMEVTX1ZMNiIfLBobLNc+YQgkwfrJX+PCIGzzet8MhVOP8I+LMXZztInWDxGUuq6fI\nfpxD/3AZy7uzgeXyqWhzF8AZyI9UDFA3fy/NsT5sYM7HT6TrGD9nGVZoWNRn/KIYFsasTNbRkH3+\nRNYRzfj5r/FF00QZv+Hy+Ao/j/Hjtml5d7buXDYLNnErEf96Myy77tpkrpkVwwrsd1h8s2ZhHo/s\nGUFWVZBSJJRrLMDdXzCbinb11E0LhkUDz/iUKjUVmcG+hzwDyfahGWMUdjyrhhWIewmDnf/pdvVs\nPeM3+wq/hwgh76SU/jf/IiHkHfBdPgUEBBLAWLyOjIq2tBIr3QScfCZWXOVdyWUU42fbFIMFHSct\n9+dmpKEdWJ49Di8ZTOOGkSraL7kRyPXisdImdCL6ZpVSpIDLXVG30NcVPzOfSylY0JZyGb94NzIB\nAYHxgVL6SwC/DL32ce7nKoDXTvd2hcEGxp1ZrWGcg0WbZ/yYcoEQBCRsPJzMPurFG3ivcVJPwLHl\nX7coD8AfSIbjDHjEDR4bDfISGT9JSgif9gPc9wyVceyitsD77WkFRd0EpRSEOPvHWK3OjIbbnx/A\n7U8MgNJglqppOw6dPOPHilNP6mpYSLnB9oQ4x8UfmEcHuLN1T8acOapQahasyOeLCXb+NVkKBZVP\nlPFznrPNFo5+9mFrc93aMypGyiynsV7qaXIFPD+ZEm7P2NjXgUf2jEBTHFXQaNmIZPxqpl3nI8CO\nQY77HmqyDNOmDYsfxvjxNZ43sdAEu+UXfnZTcQ7T6eppWHbLXD3TM1z4JX3qBwG8lRCyhRDyOfff\nPXDyhD4wPZsnIDC3wXo12tIq8ikVxRjpJgAMlXR0uzPfkkTQllY8wxcexZoJ06boyqi49elb8bHb\n3wz6pdNw9Y6v4l/7n0b72e8Bzng7cMKVGK1aXv5TGClFQtV9sLDBU6NQ9r5Oh+xv0fNOQEBgDqFc\nM5FRZWQ1uWGcQ5DxayD1dCVpOS2+d1iRJRi2E2qtus7DiitB4zPLDo5VI3r8WG9U/cA+rvBr1MOc\nxPgpMokduLLCz7Yp9g5X6hm/tNPfzdiYmkW9AeKLT1wEAPiXXz8NoL43rGbZkced7/Fjr8nEMRzj\n4zHqtlVqDbPi9RFOosdPCuU+svcGC77DZVzh9vU/7MQHf/BI7GcMlZx1jIfxIyS4TZMBmxhhBi0S\ncc6lHjru7DxWuPMI1BfUG12joP2jFXRlNQyXHXfbcI4fAJRDESeM1Q/3+AGN+3qjAtzZ36hNHCs+\nwD2xx09qLsePUuqpriaLqcjxS7qHTCViP5VSepBSei6ATwDY7f77BKX0HErpgbi/ExAQ8FGompAI\nQVaVnd4NdyY3jKphoaRb6Mn7RRpbPozRsoGKNYLPP/F3+KcH/gmH92+FTgiOOfArFLPLgNPfBsC5\nKRaqpjeoCiOlyh7j54XhNpBwnrDUcbFb2inU3gICRxtY/1xKkbyCIQ5RksM4MFlXHNsHOIN903IK\nFY1jfEybomJY3t+aNkVeCxZ+ccHXbPkoRI07swEWJEnqKcWyA4rkmNQcKuiomXaE1NO5X7NJw5pp\neZ915aY+vOqUPq8FIBc6XroRLvwY41fPFEkScaSeFuvxi87xA+ozA8eLyTB+zEQnwPi5hb+mSDh7\nTY/3ehzj90+3P4WfPro/9jN8xq/5Hj+1RewP4F9X7RnF/V2J7vGzGHMdLPzCh/WkZY4aaOfhkiMP\ndhk/fpNZYVcOFctszJEP9fgBjQs/M+I8e/2QzZi7uH+nm3bi8WXfrbDxUhj/fPtTOPkTd06YCeZh\nziOpZ8NPpZTeTSn9D/ffXdOxUQIC8wWFqoF8WvEYPMOikYOPI25zOa9rT6tyQMLEcE//vfjpoQ/i\n8SMP46PpNfjKvn6kX/o5jHRuwO83fhpIOdIhxhbGFn4c48cCaRuZtixqT+O9F6/Fqt5co10XEBCY\nZ2DBzimlMePH9yc16vHzJO4J9x9FcmSPhlkv9azULCxqT3vLZkM9fpZN8csnBvCrJ+vnrGOlnlyh\n8aL1C/DVN57muW+ygPikbY1jt1hf4qGCk8O3KGRHzwb/rLgzLBqQlaZVP7w8G1Jo1DF+btHEm7uw\ngkGRCCzXJdXZriipJzOHmSzjFy8nbYQoxo+Xep6xqhu7bnwpevNagPkdD1g8EjNBaYRW9nsB8Ho1\nGeOX1WRUDbsux48xalXDDvX4BbdlzQLn+SxLxGP8DMuOZPxKoaIoifFrJO/2zF0CPX5M6tk849do\n+WYnJL5+7y4A8e7o44HVSnMXdWbNXWbmUwUEjhKMVU2vSZoNaqJuQuzB05PzBwEZVfaa8RlG9VH8\n++M3oE8fwg/27sPrn7ob5EXXAWe8HQ+/5Mfoz27wlh1hhV+M1DOjyqi6D0pP19+EW+dMzVIJCAjM\nLEq6iaymuMZQDQaB4+nxY1LPpMJPlmC4hQobMPFSz4VcAZX3pJ4+M/Ce727F84eKdeuNM3fhC42c\nJuPyDYu91xpJtE5Y2o71i9si32MFFrvnhqMu2OTfiGs4UjPtQFGWUmSvOAkzqbphw7RttKcVnLKi\n02N+mNSyalheMSgTh/Hz+tUi7ussRsLgiqHbHtuPY2/4Fb5z/wuJx4CHz/hN3NVTiZF6Ak7hk9Hk\npgq/J/aO4uEXhgOvDZX90PtwIRQF02pdEQD43w/W6xr3PQhKPZNdZb/yl6fiF+87H105FcOM8Qv1\n+AEJjF+6nvFr1tApIPWcgLlLo+XViAkJy6b49v0vePclPtO4MsEJAR6mRSd0/UaBST1nY5yDgIDA\nJFGomp61sqepj3iwsFB0NtsLODO7pHQQtDyEQ/v/DDo2gA6tHR/JXITv7z+AdXoFOP3twOaPAHAe\nHhXD8qSkjPHj18kjqyne8lHyDgEBAQEepZqJvCv1HJ+rZ3NSz7gMP8ApQhz5Gw0wPkzqubjDZ/z8\nHj/n9yQTiLgsMJ61YAUfW1+jmfp/f90p+PDlx0W+x7adPQfCgz82+B92TT74Qhfw2Reg/njppgXL\nBjRFxk/ecx4uOs4JM7dipJ4254gayfhJ9QPsj//sSeimjacGomKeo9Fyxk/xzz9DTlOakmr+vzuf\nwT/eti3wGpt4BZqTe5q2HcjwmyyyIcYvbqKEj3OIyv7j8Rcbl+D4Je3ozGoYrdScwoV39Yxh/CKl\nnkpzhZ8d0ePHrrckl06GKOfWKLDr6EiphlXX345fPTGAHz3Uj4/99El8497dAID7d/kxpxNlgnm0\nkvFjkxmzMc5hUiCEpAH8HkDK/Zz/oZT+AyHkJgCnAyAAngXwFkppkRCSAvAtAKfBCaa9mlK6e6q2\nT0BgqmFTimLV9PLvspqCvH4QHXd+FuhdDJz7ASDn9CcUq05uDi/ZyEHH1Y9cg1/sUPFPOYK/Gy7i\n1RUD/8coYbRtHdLv+z2g+f0hGU0Gpa4MRJNR1M06u2seGc2ZOdZNGyXdhCKRGWs2FhAQmP0o6RZ6\n81pTgc48kdZokMrk6IlST1mCadmohQLcq4aFmmkHpJ65OsbP31ZNkTwWzWEQGzN+bMDM1jeZ+6Ti\nFX4sCD64LhZt4TF+nIsp4Ms3gfrjqps2LNv2Bqhhc5uqYXkMo+L2+HnmG030+FFKIw3HGoGFyk/O\n1bP+NV4OmG2S8SvpJo4U9cBrh4u61wvXXOFHW+bwCPiS3RU9WUgEWNaVwfaIwtqy/DiHVJM2q11Z\n1T1/FBLx/8aX8Qav/0ipp/tZE+nxu+r05SjpJt587qqG2xrMakySejrbzjI2v/PACzh1RVdgGwdG\nqt7ylYiWmfGilcU+IQRpVZq9PX6TgA7gYkrpyQA2AbicEHI2gL+hlJ5MKT0JwB4A73WXfzuAYUrp\nWgCfB/AvU7htAgJTDt1yir82jvHbePCn6HzmVuC+LwNfOQcY6QfghqeHBj1dT30VN7Zb+GibjOMs\ngvPWvRz0pKuwt+M09G98X6DoA/xBAJtJZiGscb0obMavUrOc3p10/LICAgICJd1ENqU4PX4NGT//\n/XSDQWpGlaHJUqLUU+WknmzApMiSV4j05DRPyhbO8eNb1NjAkLGQcVJP/lbIBqRs3DeZmXomn/QZ\nv1Dh5xbBTKrP5/gBIcYv1OOnm3bAhCJsglE1/d4wSXJcPQtVAxlVjnb1ZMUBlx/H58w1C8/VcwID\nZ1YY82eJFf4Bxi+leOxVUTfxx+cHI9dXqVk4Uqp5ypiqYWGkbGDtAicCpJl+MKvFUs81C3L41JUn\n4s3nrsJDN1yGs4/xDWv4cYHnTutO7jaDTo5p4w+/V9SHGO8iM3rT+MKvuR4/dp1JoeiNa1+0pqlC\nlS+mk6Wezvr7hyoAgMXtmTqFE8/kR3kljBetZPwA/543E5gyxo863yomqFfdf5RSOgYAxBlhZuB/\nn68E8I/uz/8D4EuEEEKjLBAFBOYASgYFFF++kVIkrB7+E0Z7T0XHq78A3Pwy4EdvAd7+G5iFQWwc\n+R1wcD8gq9i2+hxcd/gn2JfP4S2rXoMPbHoHlI4+FKoGfpTehYuOW1j3eVnV+Tqz2a1C1URbwkCK\nt3MuuEWigICAQByKuol8kz1+fF2Q1pIHOIQQHLMghxUJAdiqTGDYtlMIZf0A9zF3oJ5NKV4OWi7k\n6hkl58xqMgpVsylzF4kEGbTJFH6MrWA9fuGCiw0IWag4H1gPBIvosAvqW77xIEybYoHb71gXZ2FY\nSLenvP2zbIqxihnbDsAGuqw45l2m4wrmKEwqx0+pd3D0pL7cechqMg670Q4/2boXH79tGx79+IsD\nz0DLpqiaFnTTdp1gFRwYdZihtQvzeOiF4aay/Frp8Ag41/+bzlnl/JIKZt61ce7eNqVeBEejyRQG\nZpwEBJ1qVSma8TtUqEKTpWCAu9Kcq6c9CUlv3fYlSj2d9/qHygCABW0pHBxzziP77vP7xXr8DhWq\n2D1Yxpmru8e9bYbV2nOeUeX5J/UEAEKIDCfsfS2AL1NKH3BfvxnASwFsB/Ahd/E+AP0AQCk1CSGj\nAHoADIbWeS2AawFg0aJF2LJly1TuQh2KxeK0f2YrILa7tdgxYiGtEPTl47+4B0fK2F3cje3Yh90q\ngVobwXnF7bg383qYzwxj6co3YP1z/4UHf/UdLH3q19hQvB2mnAOhBnZv+y5qXW14dekSLC9dgHsf\neQ7AczhYsrF7v4nnjL0Y2RH87BHdxu49Ju7R96IvL+HRFwx0pAi2lHZEbh+//LZBC51pgi3FHbP2\nmDeC2O7px1zedoHxo1zz4xwMKznQ2R5Hjx8A/Pg95yYO9lRZcqXsfsYX35eWVWW0pRWMlA3f3IUE\n4xx4MOarmQB3tlmsAGxWZhe3H0A840cIcWSHJQOmZcOmwWV4xi/M+hTcAkHxGD+2/5y5C8vxkwgs\nGyjphjc5Gbet7BjxRRFv+MLC5uPQih4/fiDPXuOPS1bzGb+CboJSZ8DPn0fDsj1DsyPFGrLdCgbc\nwm+Ny/g1k+Vn2nZkT2SroHHrDjN+jL3KNJhMYWDSYQBIy/w1Hbw2GPqHyljWnQnmJjbZ4xcl9RwP\nePOUpOPL3nv+sMMt2ZwEmTGY/GQPyyq85U+78a0/vYAnPvGScW9bqxm/Yxe3edfcdGNKCz9KqQVg\nEyGkE8BPCCEbKKVPUkrf6haF/wHgagA3j2OdXwPwNQA4/fTT6ebNm6dgy+OxZcsWTPdntgJiu1uH\ncs3EI/fsxBiAv9y8Pna5x370W6xfuwp/sXmN81D84xcBALUTX42LN28GjiwHnvsvnLLAxMFn9mPP\nwpOx6+WfxIXaQrzsvy7AhQbwjVPfiZNPXoVjXYe4h18Yxn7tMK64cE3dQ7+om9j1+53YePxCbOzr\nwJN3P4+Nyzpx4foFkdtXqBrY9Ydd2HD8Qgw9e9hbdjYe82Ygtnv6MZe3XWB8oJSiVDORc+McAIcB\niJOcMev5lT1ZZJso/MLRBGEwaVqlZnmMCD/wz2iyW8BU/B6/GNt3TZaQYcxAjPELmSLGT/WkntE9\nfoBjhDFSqXnbHYhzSGD8GDxpKgu6NjlzF4Uv/GyMVQ20Z6ILP3bM2TEqBRg/GwOjjtTunBvvwn9f\nczouO2FR5Hom4+oZxfgxBjQVYvyYQyVjpqqGFZDs1izbizAaLtewvDuLA2POPqxdlK/bxzi0mvEL\ng5c58u6alkU9RU8zkymALx0GgJMW+H+jxnw39gyV65j3Znv8bOoE20+0ZSQQ55DE+MkhCbNhYazq\nS6OB4H6xYr9Ss1FtoFSIg2nTSOfbieLmt57ZsnWNF9PCM1JKRwDcDeBy7jULwA8AvNp9aR+A5QBA\nCFEAdMAxeREQmFXYvr85N7MxnaInpzk3wcow8IfP4eDC8zGQcYvF7mOAbA/sF+7HDmsX3pQr4iP3\nfhTFrhXAFZ+HevGnYEmpQGPykaKOrCZHDrbYDHa55khZDIt6vS5RYAOt4bLRcFkBAYGjG6ZNQakz\n2G5G+mXZFC8/eSnuue6ilgyYmDStbFicuUtU4ecbU7CBZLjHJ6VIfuB7rNTT/1kKFVKTMXfxGb9o\nqSfgxFsMl41I45UA46dGF8tsO9lzgj1DnBw/yVvGosBY1fCcRMNgBQhj/Hg2rGpYOOfGu3DOjU68\n853b6jMSGSbD+LGig2dwoqSefI8fO266aQd69gzT9mR/LDv3wKgjD2U9fs3EOTg9flM3fOalnvy5\n4Rm/Zgs/vsdvcY7roZPrC2oA2HOkvvBrlvGbLCvGs4xJ/aDhz6galpd7yc59QOrpHjMmlR0PqoaF\nVdffjsGi3lLGbyYxZVcuIWSBy/SBEJIBcBmAZwgha93XCIBXAHja/ZPbALzZ/fk1AO4S/X0CsxE7\nD5cAOM3/ScG2BYOiJ+9mS91xA6AXsOPk6/zcHEJg9J2OLw/cifcubEe72oZbLr8FeS0PnHoNlDPe\nAiA4aBkq1fx1hiBLBClVQsWwOEvm6Ac6vzzri0haVkBA4OgGz9o0E+hs2RStVMN5TJlu+a6OIakn\n61Xzc/xYZp4/mM9pMlKqX/jFuXryrIXcyh6/0DZFSdq6sipGyjXU3OfLRBk/P0LILfw4qadEHDnu\nWMWPHAqDbRsbRPPHsRRy0FzVm4tcB+DLCVvd4xeUejq5t8ypGnCuT75YNSzqMT7DXuFXQVta8foi\nmzF3mWrGj+/pvOr05fjC1ZsgEbdHcbyFn1s4XrlpaeB1dh3yUufRsoGxqhnB+LkTPVZjcxdpEgZx\nUVmNUQhPllQNu47x4ycKWOFn2RQ2BcZTWoyUfRfbqTzn04mpZPyWALibEPI4gD8D+A2A2wHcQgh5\nAsAT7jKfdJe/CUAPIeR5AH8L4Pop3DYBgQmD9WZQCozGWFtXahZ0E+jOacDeh4FHvwOc/0HYCzeg\nXHOy8ypmBW9WjuDmjja8dqyAr5/+z1jXtc5bhywRaIrk3bQopThSqqEnF5+Hk1Flz6UTSM7FApzB\nEiv8Gi0rICBw9IJnbZoJdLZsGpjBnywYQ8HHG4QZvzaP8fNDygGfxfmrC9fgnr+7CGlV9hm/mBw/\nvtDwXT1bwPgpPnMJRBeRXVnNVWK4hR8f4K4Gi50osAE0KxIrNROUUlQNm4tzkGDaNkYrSVLPoKsn\nK6K6smpdKHaScyIrHCfU4+dtA1f4KRGunppvbsYzfkWukCu6vX+AM4kKAAOjVSzpSCOlSFAkEpmz\nW7c/U9zjt26R3/u1uCONV57SB0WSYLnnEIjP+gtDkSVs/dhl+LerNoVeD8p4AaB/2DFLWR7H+BmN\nGb/JFEdys4wf915HRkXVsDwzJDZZ4uR9+vJwwN/X8ZB+/HU9Xxi/qXT1fBzAKRFvnRezfBXAa6dq\newQEWgXdtLGgLYXDBR2jFSOSgRupODehzqwKPPErgEjAue9H9jCF7d68M1oGp62+HG+67yb8xfAw\n9BX1X5eMKkN3bzy66TjaxT2kAWcgUKlZ3qxlWwMWL6spGC47PQ4ivF1AQCAOfBYbKx6SGD+bttYM\ngR/kxzE+7VxmKuAPEJkpyZoFOfTmU/j0qzaiK6vhjm0HYxk/m2MFGIsheYzfJMxdmGRVjzZ3ARyp\n5ygn9QwwfirP+CVLPSWJePl2uhdjIXnvsTiHeKlnsA+MHcfOrOYVSJ+88kTc+MunG04CsM8cL1IJ\nPX4BV0+32C/rZqDHj2cpC1V/opYVfgfHqljckQEhxMt4bITJFjiNcAzHnno5hu758hm/5icfuiMm\ni8OOr4DT3wcgVupZaxDhYdFJFn6hGIg48PeVVb05HCnVvILYl3o6E0Sy5PdFMsOp8Zw/Xvo7kR7V\n2Yj5sRcCAtMENmvKwoLjGD/2emdGBXbcDfSdBmQ6oSoW7h+9CY8d2gYA+NCZ1yF10a/x/TP+F1qq\n3so8rcreTYu5VnXEWG+z5ctuozMhwcbwKPDvizgHAQGBOJicXI8NxqsJDECr5XD8LD9jfHjWJaMp\nuOyERXjLuas4c5OggyYrml60fgFOWNoOIN7Vky/82BiUDUwnk7/FtplJJaPW1ZXVULNsj8WIC3Dn\n+/V48L9nNeeZwNga39wFGKuYsCkaunqGpZ4dGZ/x02QJaVVKZvxa4OppRLh6Bnr83CK4qJvehIRu\nBHv8+J+HSjUUdRNPHyhgzYKct75mCj9zinv8eJkx20dFIjA5c5dmGb84+HEO/v4y9c/CtuBkdrNx\nDpNm/OTmCr+OjIo3nLUCv3jf+UgrEva6TCXgqxBMt9+QqaAA33DKHofUs1ybf4yfKPwEBMaBmmXD\nphTdORWaInkhu2GMlA10mwfRMbgV2L8VOOYi9Bf68fEH343tpV/i/oH7vWUHKgTa4uMinbAymuQN\nrpiGPe4hDTgzwNWa0+icTykNb8K8nXDSjVZAQODoBp/FlmqCAbAn2e8TBn9/8lwducFvXlNwzpoe\n/OMrTvRe8/vp6h00ZYlAIvF5dPyu1Zm7jINtCYPJJ8s1E4pEIlkwJudn2WR8cch/tqZIkInTt8iD\nv+9nXBUI623z4xwkDLmFZWyOnycHDEo92zOqJ1VVZQlpVU4s/CaT4+czfhHmLtxx6XWVN4cKundd\n6qYdYPzGQozfndsOQDdtXHHSEm99Sde0blq4Y7cB3bSmvN9rQ58zMcFqFFl2XFjZeKDZHr84sHPL\nM6m6Gd0/2Iy5yz3PHsaeoXKAtRv3NgVcPePXQwjBp1+1ERv6OpDh8hsBXurpMH4ZbvKc7Wuck28U\n+OtnvvT4iSl+AQE4DN22/aM4e3VPohyF3XRTioz2jOqxcGHog7txw8EPQP6mBSgZ/K53GT7286tB\nAVzS9WFcsfKVAJwb0ZFiDaes6IxcT1qRMVwy3G30H7pxYDe5sWp8NhOPYxbEN+QLCAgIMLDZckUi\nntNiUs/PZGVfYagRbMAVG5egrJtY3JFGR7b+fscKTzZ4Cw9oFVnycr/CCDB+YalnCxi/sm7FTrb1\n5J3Cj2XMqTHmLqosQZHcAphjs3g2KqsqKNfMOomgTHyDk1jGTwqybSXdRFaTkVIkjwlRZGcioBH7\nG96uZtFsgHtfVwYAsG+4wvX4Bc1dwozfbY/tx7KuDE5d0eWtL6m4uX/nEL7/dA2E1HD+2t5x78t4\n8PVrzsA3/rgLaxc6k7MyITBtPs5hchO1SujcAj6jF+5hbaan933f24qxqumZ5EwEUpNSTx5pRQ70\n7PGunopMnImPUOE3HmdPwfgJCMxTPLhrCA/sHPICQeOgc45anRk1VurZveOnkGEBl/wD7nztl/HB\nRz6LFe0rcPOLv4eVmTO9h/CRog7Lpp50NIy0JnsztWNVAxpnpR6FjCZ5xWRbA5kn4NxcLzpuITYf\nG531JyAgIAD4zBgznQKA1//3/fjDc4cjl291HxQ/EGQ/d+U0vOvCNbhyU1/k3yghWWX43qm68rko\n8AH0bD+UFjB+bNtLNTOW1ejJOYPnA6PJjJ8qO4xfuBCVQoxfuWbhmQMFAAgEuDMpaWyPn5f1Znvb\nnEspUGXi9x+6jF+yw2urXT3rC/AlHc4zdP9IxStQqobthdoDfo9fPqVgqFzDMwcKOPuYHk9t00jq\nySSDlE59EbC4I42PvvT4QCaj4w/gj0GuOWcl1i2cWAi4x+ZyDKdu2pAI6uJXWP9j0jlm+YiTOS78\n3zYbARMugGsBqafkMd4AJ/WcIOM3XyAYPwEBONbWAPD0gQLWL2qLXc6XWUjoyKjYPVgCpTQo07RM\nLOv/Ofozx2H5BX+LCy0dH6gN45oTrgGoAuB5bwbq4Fi0pp4hrcjQDRu2TVGoOrbbSeGoLNepaliJ\nzCCPTcuj2UYBAQEBBjbwZgwPww/+3I8L1tVPHDlxDq139QSSZWA82KA53OPHkNGUwIw+DyvK3IW5\neraC8atZsZN4jPHbzwq/WMaPQJHqjwc/gM5qMp4aGMO1334YgF/kOYWEs0zDAHe3OChUnRYCnrlT\nZQkpVU5k/FhtkeTUGAdW3BkR5i4BJlSV0ZvXsI8r/HTTCrh6MsavrzODg4UqyrrlHWu23qTCjy98\nptvog/X48YXfJ6/cMKn1AUHZo27aHpsfRqpBUcyukcnIu/mJAa3Ja4X/TrellUCcgyqHevzcSR5r\ngj1+hXlSBArGT0AAfu/CrsOlBrNa/k23I6PCtKkvJRl+AfiP00G/sAFP0gG8e1EKxVoRKTmFd2x8\nBzRZcx/UxLsR7RupIKPJsTOuLIC3aloYS7DdZuAjGZph/AQEBASagen1aUmBWfaV3fWmVMAUMH78\noLDJOIW6Hr8QO9CeUby+r+1HLIy4DBgQzfixem8yOX58gHucZNRn/CqBvwnvg8P4EaiyhD9dfzHe\ndeExAII5ZVlNwWDR2a93b16Ds4/pCewTEC/19IouTuqZS8khox0JaaWRucvEGT/Wxxlw9WTmLqHj\n19eZwb6RSiDOgc9hY4Xf0s40RsoGapaN3pw/6aopjXr8/PemW/bn9Pj56aXQVgAAIABJREFUhd9k\nzV0IIZAlEogz0Q0rls1OJchgbTcfD5hcHxwhxJuEb1YWzBd+vfmUd/4cqacUMMhrxPg91j+CfSOV\nwGu8qyd/f5jLEIWfgAD8B4JNnUDbOPCzbZ1uT8loxXC0H9+7CmbpEL7QuwjvWbwQZSWDsdpY4O8J\n8TXnlFLsGSphZXc2lsVjAywWUNqob6+vM+P9LOIZBAQEWgWP8eN6/IB4KZRNW5vjx7M7zfb/1PX4\nhdiM9rTTp62bFj77UBU/fKjfe48fG7Ld8MxdJhHnwEsX1ZgCMqPJyGmy1+MXkHqGjoMsOf8v7cxg\ngWtwwvdt8Vl/r9zU50c9cM+cuEnCcI5fSbeQ0xSv98/ZBifeo9pEnMNkcvwa9fgBwNLODPbzhZ9h\n43BR956jrMhfyj0n+aiDxowfV/hNYY5fFJzcRYpKrTXmLs46g1Jnh/GLK/xkPL53BE8NjNW9x/fJ\nTrYgZgVf3Hejbrvcc0uIE5/FJu4Ny/ZcPavhOIcYxu/KL/8R533mrsBrZd2f0Ihr7ZlrEIWfgACc\nwm9hu/PQLCbQ+Z7UU5E8lm6kbABHduDw0LN455oT8A0MYX32Ulzb/TdYml9atw7mgDZYrKGkW1jR\nEz1j7nyOc3MfrRjQDTvWfY1BkSW8dOMSKBKZVJO1gICAAA82+JfcySuGuMGQZbc2xy/o+Nck4+fJ\nKp17ej3jp2KsakI3bdg0KOsKSD1DxdJkGL+s6t/Dk/ajO6/5PX6Kv++EOFJbiTiFqEL8QTI7L7xq\nhS/8OjkDnIAcNBVdRIRz/Iq6I/VUue3RZIfx05MYP64/dLyIOtZRrp6Az/ix/a+aFgaLOpZ2OIUe\nm9TlC7+A1LOBnLE2g4yfRJzvVNV0mOJWsOmKRJqWemqKhCf3jeEv/v0Pde/xxeNkJ3vYfqlNrocx\nn/mUgrQiB3v8ZCfHMsz4jcfcJcj4icJPQGBeoGbaqBqW93DgewLCqBqWI9eUJbSlVUiEOM6e/Q/g\nht4ebNMHce3xH8X5ne9GpxZdeLEZKJY9Ew5LDSzrPrSZrXczTp3HLm7Dey9ei7YmlhUQEBBoBjxr\n05tP4ad/fR6OW9yG0YqBqmHh3+58Bro7AKTUkX5NVZzDeHv8mLlLmPFrSysoVIyAEyBDlKunz/hN\nfOjEF81J7qA9uZQ3KNfk4HanFMk7HrLk90OxQXCN2w/+8/iWAp/5i9+Ouhw/19wl3OOXVmXsH6lg\n1fW3445tB/C13+8ISD/DURLjQdSxZoVwFONXNWyvd143bAwWdCzpdIxfmLkLr4xhMRBsfY3iHBim\nv8dPgmnbKOtm4JxOap2yFDJ3ie87TSo0+e/NZPt6vcKvaXMX51i0p9VA4e4wfpJnbgT497AYI99I\nlHULXVkVFx+3EJ+48sTGfzAHILRgAkc92MNgUXsahPi/R6FqWAFXtIwGHCmXgP4H8NGiBePq72Hv\n4U5sK40hjm9LqzIOFwwMl2tIq3JigcYGKofcnJpmDVuSDGAEBAQExgsvi80tMjYt70RvPoXRioFb\n/rQbX7zrebx2vYrcc4P44K2POsu2kBXhB6TNximwAqWsxzB+aYfxY66VvGQtusdv8oyfpkge05Ik\nZ+vlmCieYQOcZwirSxWJePvJ2D2emWKvpVUpUHixojyrxRuGyRIBIbzU03f1ZFBkgrQqYcydMH2X\nayJT1C387WXrAWBSfWlR5zpO6tmVU93PdralUDUwVjWxuD3j/l7P+I1L6mnMYI+fRGDZjsFIq/r3\nVTnE+Bl2bI8fm3yOAv+9mex33nPQbdbcxb0G2tJKII7DtChUmTgKq1DhZ0ZUfjRG/lmqmejKafjG\nW84Y347MYojCT+CoB3sYdGRV5FNKonNT1bS9ZvMjlSP4+cFPIT/Uhiv2PoiVS08Hutdj2559aM+o\nINXoG1dGk1AxnKbzzojsKR5pzbmpHRoH4ycgICDQakT1aXVkVOwfrWCw6Acof/y2J73fW1n4LeeU\nEc2yAezzWSEQlrExc5coxi8Q4M4YP+bqOYkeP8Bh4QpVM9G5sIczHQnvb0qVvAF7u0bQ68r6M5oz\npKsFpJ7Oa50ZLbAOdmwasXCqJIWknnLAYVWTpcjjwRthTKYvjUkH+ZD6Vb05nLmqGxuWdgSWzWnB\nIe1+1xxnKWP8dCPwOxAq/MZj7jLdPX5ugDtzVm0F5Mgev+hzVEhQQgUYv0n3+I0vK7OO8WPmLrbL\n+EUEuNsRRV5cqHu5ZtVdV3Md82tvBARc/PChfuwbruBF6xfgtJVdicsecUNsOzNO4Rcn9dw3UkH/\nUBnLujLYenArrrvnOgxVh/Eq+Qpg8FngzGsBAGMVAx1ZDYiZIGOZR0OlWkByEgVNliARgkLVdGev\nhDpbQEBg+uG7enJukBnHHKWoMyklweGCXwS2svDji4ZmjR/8OAdHoh/enva0ipppe4NaXvYWkHq2\nkPEDHBbOuacn9/gxhD+PxfwAwF+dnMIFFzi2/r7Us57xC08ysn3JNpANKjKBadkwLRtVw0YupQTY\nUEfqWb8fBrcNFWNyfWlffP0pOKnPL/La0yp++Ffn1C2XDzFh+4adwm8J1+MnS8TLzc2nlMB11ajH\nj5d6zgTjZ9oUVcNs2QSwIkkBtq5m2g0LrqjoKf5cT7bHj/19s99xdv7a0gpSMi/1pEirTo+faVMY\nls0FuNevJ86xtKSbDb8jcw1iFCkw72Db1LvhP/zCUMNG3oHRCjoyKnIpBW1pNdbc5cFdR6DJwH76\nK7ztjrchraTx3uO+iDce2A6S7gBOfj0opRitGLHxDIDzcKbUmUHraMD4OS6gzte0PaMKCaeAgMCM\nwGf8/GFDR0bFaMXw7pkSgsxAK3P8AHhh1c2ul88qi2IymHSeTf7xWXF2lLlLywo/peF6+GDu8GA8\npfo9fjmVeIVAktQz/ExiRVgj+SWTpbI+yXxKCfZbKkEJaZvLRvHOok6LxMSP2StOXopVvbmGy4WZ\nMGbNz/f4pd3+yPa0EjB2ARpn1fHFwUzk+Fk2RUE36grcCa/TjYhg0M34OAd+O8Lg2bLJu3qSca2H\nL/z4wt2yqZMx6X7vK4aVaO7C96TyhWy5ZiE3zxzSReEnMO/AXJiOWZBDSbew43AxdllKKfaPVDzp\nRz6toFA1IvXeR4o15HIlfHP7f+PiFRfjB1f8ABuULFYd+h1w2luBVB6lmgXDoomFX1dWi/w5DvmU\ns675JjcQEBCYO4hi/DoyKgyLYtBl+WqhMXMr4xwA4MzV3QCAot6cux6/rVGFR7s7gD7iSlN5xo8f\nHMp1Us/JDZ1YsZXE+L3kxMXez+Hl0oocWTRmIgo/Jv+sY/zcfWlkFKLKEgzL9iIxciklIPVkfVQM\nnW6fHX8s+d74qUR4gM6KT2bcZlN/f7tzWkDmCbg9fglSz9oMSj0l4hTgxRZKPccT5/DrD16A45e0\nRx4f/lxPv7mLPzHOSz1ZnAP7npgW9ZjqKKknX9SPcU7FpZpg/AQEZj3Y7POGvg5oiuSxf1EYq5oo\n6ZYnBcmnZBgWrbu5PT+0C2MVA2u6luGH2Y343N49aJM0rHzu26CEwDj9nQB8a/Okwo938WzU4wcA\nl52wCGsX5nH8kvaGywoICAhMBayIEG52/2LMStUMDqhaPTb++5cdj+teciwuOX5RU8vzg9BIxs9l\nyo64AedBV09uPe5IqXWMn7MtSbK6XErxCpOwRNJh/OoPrif15Bk/97W4Hr+GjJ/sFAd84cd/ttPj\n5+8Hm8zk2dOKYbXMiTIJcQXR4g6/p49dB2eu7sYZq7oDy6njyfGbZqmnIhPYNkWxpeYuUoDdSurx\nO25xO85a3R15fIxAnMPktmmirp5taSVgzsPiHNh6aqbtTV5FMX58HAkfUVPWRY+fgMCsB+vRa0sr\naE8ribl8Xg+Ay/ixm17VcG6AlFJ87+nv4bN//ixekroCy46cgb7HfuT88e0fwoIdP8OzPZeiL7MI\nKoBRN+elM6PihZjPlCSCU1d2YesLw00xfgvaUnj5yfV5gAICAgLTBVYUhc1dAGDPkBNNc7AcKvya\nHLw1i6ym4K8vWtv08pLrSklpvaMnAC8XdbDkMH4BqSf3MzN3Yfs+acaPFX4N1nP3hzbj+QjFSmdW\n8zJlebCCMirAfcI9fm4fGHuO5lMyhkKZiim+T86LgAgyfhNx9Bwvogq/nCZ7zC7gH/t/fc3Jdcs2\n7PEzZrLHT4JpWxirmi2TespSSOppxMc5APHmN2YgwH1y3w2/8Buv1FMFpbxRk2PuwtYT6PGLYPz4\n79NY1cShQhU5TXEYv5icy7kKUfgJzDswW+n2tIp8g8Kvf7iMjCZjgZvlw24iummhUKviH/74cfxm\nz29xHunER575Ejqe4m56j3wbMoBnFlyOnpqF9rTT70IIGs7IvWhdL85Y1TUt8hcBAQGBycKKkXry\n2F8MDgpb3eM3ESgSgWHF9Pi5jN9ggTF+nNQzwdxlsoUfK7YaDW47smqkOdnHXnZCwGiEwZN6Wnbd\na+F+csZephtKPRnj53xeTgtLPSXPUh/wi2SePa0YdqA4nCpkNdkr9BnWLmoDIQSq7FwHSQWopjhu\nqbZNI2XKM93jV6lZqJm210c56XXKUmCyQzfj4xwAp6jnJxUYjBYGuCsTlHq2pRVUDcs7f4blMH5s\ncqVm2Z7EM5LxM4OM31tuftALbBdSTwGBGcLuwRJ+/eRAbN4KQ1F3HDBTioR8So116aSUon+ojOVd\nWc80hT3Qtw8+hat//lrctee3+NCRYXxl5+Po4LNfXnQdAMDW8tjTeaYXEDpaMZAP9UBEgRDiNfgL\nCAgIzHawQiiK8WMYqoYKv1kwwvBjC+o3hmWoHmGMX0yAOytm2P/hQPXxgt37mx3chrG4I42VPfVm\nJ4xtu2Bdb91nhaWe7DxmG0o9neDwIif11BJ6/Bj7wxef1ZqFzDQ4UhNC6mR5Jyxpc7fT+fyk9gq+\nSIhCwNVzmnv8ZIlgpOJMUCRl/44HjmFMc1JPwDmGlk3rCqdgj9/ktol9x5r9bvR1ZnDsojacvKwz\ncP5M24YqSd61WjN5V8/GPX6s6APqvztzHWLkKTBn8NTAGJ4+UMC5a3sT7YxZ8zMhBPmUQ9VbNq3r\nkxguGyhUTZy52o9USKsyJNvA7kOPQi8N4uYDgzjl7L/BfbU16Oi/Cyfs+Y6z4KY3AM//DkbvibAk\nzcuJGWvg6CkgICAwFxHF+K1dmA/IxQq14N9Is4LxkwBEm1YwqafX4xcT4C55jJ/zeyPnw0ZoVuo5\nXhBC8PvrLkJvmz9QXdmTxUs3Lsa5a3oCy0pNmrswxrTkST0Vr+hRJAJCSODYsuKZH1xXTQs9uekZ\nPOdTQZXPCW5vPCt0OxPaK1iRoJt2pBpnJnv8ZEK8YqSV5i5GwNzFSrwmVcWXTcoSX+y3MMePXVtN\nVpBtaRV3/M2LAAD37zwCwDlPphXs8eOlnnZE4ce7eo64PX7vv2QdzlzVjU0rOie4N7MTs2A+TkCg\nORx0Q8wPjemJyxV1A3m3MMynFFDqO33y6Hf7UpjZStko48n+X+N1j78V1/zmI/j5wCGcsualwIV/\nh6cyp+KFTR8CiAQoGaBzJfD234Be8XkA8Aq/kUpNFH4CAgLzDn6Pnz9sSKsybnzVRu/38HBqulmR\nKLBxKHNH5pFRZcgSwVCpgblLKLh9shJ9xrI1G1I9HqzoyQbUJGlVxn/+5Wl1cQieuUuzrp61eldP\nNqjmjwczCwlIPWvT4+rpbF/wc05Y6hR+rKDpSmD8WAEb1+dXC0g9p7nwk4lXeLbS3IWxdUwemdjj\nxxXGPFpZ+DEJ7UTYcP78GZYNVZa8825Yth/n0MDVc9i9H2gywfnreltWaM8WzK+9EZi3qBoWht3Z\nrkOFKtZyGUdhFKomlnU5xRxrgi5W60NP9wyV0Z5R0ZFR8dzwc/jQPR/CwOhu/EI/DFgGsmYFOO5l\n0E0LoxUDG/p6gQXHA5Ls/AOQkigkQlCtWTAtGyXd8rKhBAQEBOYLPMYvVMxddcZynLG6G+///iN4\nYt9o4L1ZwfjJzO69frhDCEFakTBWdZ4tRmyPn/P/Kzf1YUlHetKTe1l3IDndxQMP9smNTFcYo1vk\nGD81ZMARlHo6xy0g9TSnx9yFbR+PYxc7hR+7FhMZv4ZSzxl09eQ+byrMXdg+J0k9+SKKh5kQgTHu\nbXJ3cyKTIkGpJ4Ui8a6eFIzQb5TjxyaCpruPc7ogCj+BOYHDbk4UIf7PUTAtpxeBPZjZQ6Com4Be\nAO74KHDGO2FnerDuT9eh9+R34afPP4pPP/Bp5CQNXxo4gB3L3gFbHcaS3T8D1l6KQVcG1JvXgJd/\nIfB5LGC9XLO85vdWzcYJCAgIzBawAX3UgHd1by4QUcAGkTNZ2DCwbYhrD8hoshfgzjMXUa6eHVkV\nL+by9SYKxkxEjD+nDewcNTKukCUCmzpST4k4vZJsMM0G2nz/JCsCeNlspWY3NJFpFVhR9NGXHoeU\nIntjgIrbh9/dRI+fEcP4BXv8prco4L9LbRHs9UTADG8AQDdY4deY8QszorxcNKqoGg+YomAiagGN\nY/ycOAcJmitPZX1/QOMcP1b4TXdxP10QI1SBOYFDBUfmuaonlyj1HK0YoNRv4GZFWKFqAFs+B2z9\nFrD7XlhaB9YdfAQfe2wrfp5VcebiM/Av/bvRq3bjGyv/EuXedix56fVAuh2HD48AcGIVsODMus/M\nuJa/Bb21+nsBAQGB2QJmAhHH4jHJYHtGxaAbiD4bBk5sE+Im5JzYHudnnrmwI1w9WwXGlLWSKRkv\n2OC9IeNHHFaopFvIub3zbFDOCkCeJWJFAC/1rBoW0glMUivBzF02Le/Cmav9nL6Cy1h2JfQaeuxQ\nHONnzA7Gr1WTy4okeYUaK2qT+lf5fjkegd7YSU5msO/aRI4vM12qmTZMy4bK9/iZNiyP8av/W1b4\nqTLx2L/ZMHE1FZifPKbAvMNwyUBGk7G8O4OibgZoeR4seJMVfilFcuQMgzuB+78CrDgXGN4N+dA2\n/HHl+5GxDPxVeiW+tvpq9O59GNj8EajpHKpUBrpWAgAGCzrSqhxb0OU0GeWaFZDCCAgICMwnJDF+\ngF9A8IPS2SD1ZPlcSYwfQ5C58JeZrEV9GIzVMGeQ8mMD3Ua9d5IE2LajmmHPNrWux49j/NwigC8O\nqoaFjDY9w022jXHMVTPmLnE9fvpM9vhNhdRTJjDc88X2rRmpZ/j4mC1k/GTJid4gE7h3sO2rGhZs\n6qyLl6f6cQ7155dlNOZSincsZkOP8lRAjFAF5gRGKgY6Myq6c07e3pFSDX2dmcjlAN9m3IlNkLF4\n29cASQZ9zTdw687bkMKx2H14Ka6vlKA+egsgLwKUNLDpDUhtPRAK8zTQmVVjb0RZTcFwueK5nuVE\n4ScgIDDPENfjxxBV+M2GGfOya0oSx5JEFS1AiPFrcQHLBpRmxAB0usAG743y9RRJQsWyUNJN79mm\nhHr8unMacpqMUs3yigBW1Bpuv9V09fixbYxzp0wyd2F/EzYvYZjpOAeGVk0uqxLxzpfH+CW5esYw\nooHe2JYUfhObJGDnj8VrqbIU2GbGsCcxfjlNEYyfgMBswEi5hs6shm53tm6oWItcbrRiQFOkwEOm\nUyqjb/ePMXLSVfjAQzfinx/7Eu4c+A1SqgT1zLcBtgls+zGweCMgq0ipUoBR5Gc6o5BLySjrJgpV\nE5oiTTrcV0BAQGC2wWrA+LEeLv5e2WqmbCJgLF6c6Rb/rDBjcvxaPQD0GL+IMOzpAhvoNjLRkCQC\n0zV38Qq/EOPXllbxyMdfjJQi1bl6Msfr6XL1ZGxYfOHXhLlLROFHKQ28rkx7gDuT1UotO5YyJ/Ws\nNtHjl/LYs1COn93KHj8yYRktu5bZZI8ikQCLyzYt0tXTsECIowDwGL9ZcP+aCghqQmDGYFo2frx1\nH05d2ZXo0mlYNgpVE51ZFe0ZBapMMFSOKfzKTo4ez86tHLkfWzUJ11eewNBYAdedfh3aahehpNvA\nwmOA3AKgdBhYegoA5wHFG8gUqiaWu5EPUchqCkyb4kix5uUHCggICMwnsMFdXBHECii+8JtNA6d4\nxo+TetrRzEWrJauMLQoPoKcTnotjg0xCmThGNyXdRD4VjKHgmRnNbatg+8TWX53uwq+B1DOpxy+V\n4Opp2hQ2ddxQKWYgx8/9vFU9uQZLNg/H3CUo9UzM8YuRwvK9qlFF1XggcfLM8YLJtplLrxKIc6DJ\nOX6mk/WpSH6P33QX99OF+blXAnMCA6NV7Bup4OeP7Y/t2QOCfXuEEHTlNAyVog1eHGYwOLPbf+jn\nePvihchobfjuS7+La068BsWqG7sgScBqJ/wTS08F4Dyg2E1QNy3UTBvtCZp6lht0qKALmaeAgMC8\nhM/4RQ8bfKmnf/9ttURyMojr8Us3wfi1eozPJJJRvUbThRqT9jVg/Jjlf0m3POMU39wleGBkQjz5\nKisGqrXmTGRaha6sBkJ8k5cwcgnuorw5SBhsTMBSQaZbBsgKzWMWtK7wU2TiTej4Us/xxznwExhR\nRdW4tkkiEy642DjtiKsI481daqbl5/hFbKNuWEgpMhQuL3G+9viJwk9gxrBvpOL9/PSBQuxyI25+\nX2fGmanrzmoYKhl1y9k2xVjVRJcG4A+fg/3CfYBRwWUHHsP/MRbi1it+iBN6TgClznJeMbfuxQAI\nsOwMAEBakVAzbVg2RaHKDFvi+wLYA6ZqWMLYRUBAYF6CDRDjxrtstj1g7jLXGL/AANZfptWD/M3r\nF2JFdxbvunBNS9c7HtSaYHgAh+20KUXFsLzoBzXk6slASL2r53RLPV95ylJ89+1nxTJ7SYocdiyO\nFHWsuv52/Hb7Qe89Zv6RceMBprsoYBMRaxbEq6PGC0XyA9w9c5dEV083GqEuwL11jJ8sEajKxI4t\nk3P7cQySt8084xcX4J5WJciS5J3r+drjJ0apAjOGfcMVLGhLYbhUw1ilvpBjGK04X2LG5OXTCiqH\nzbrlCroJy7Kx8Y9/jV8P3Y9vPL8INy+/Em36ME7seicIHGOYiuGweF4I78arHLavdy0A/wFVNSwU\nWeGXwPjxOUhRIcECAgICcx2WbUOW4t320rPU3IUhvscv2tyFHxy2uoDtymn4/d9d1NJ1jhdMztio\n8GOMn2VTL9CaMTLhv+XPN5PNMjXPdLl6ZjUF567trXtdIo2jBtj+/Hn3MADgpnt34dITFgHwC6Os\nSnCkSqddBsgmytcsbCHjJ/mMn2f2MyFzl9Yxficu7ZiwtJrde7zCj2f8LDtZ6ukyfqpERI+fgMB4\n8NTAGEbKBs5Z05O4nG1TDIxWcGJfBww3dD0OYdOUlCLDsChMyw6EqI5VDPQN3Y3PVh7FTxb24iS9\nguKDX4W17lXY23EayjULWU3BWMX5LG8gIEnAgvXeegKFXxMRDby8c20LZ+MEBAQEZgtMmyYWclE9\nfrOp8GuG8eOlnpQr/BoZoMxFvOqUZXhy33Ys64rvXwfcwo86hR8bCIdz/Bj4AftMMX5xePDvL411\n62Rghd/AqFNkded91tAr/NzLaLqLgt2DZQDA6t4WMn6yxEk9G8c5pGLMbwJxDpNk/N69eeIseEqR\nkVYlr/BTZd/chT/3cYwfi//yXT3n3/ceEFJPgRbjkT0j2LpnOPDQjEKxZsKwKHpzKeRTisesRS7r\numqymea4BuxHDzyJm0v/iZ/m83hn36X45v4DWGQYKJ57PQCgrDtfZtb4G9fzwdavm46pDCHJhR8/\nQ7agLZW43wICAgJzETY38I8CY3Ta0qq33Gzq8Ysb0GYCUs+gucuZq7vx6VdtxAlL2qd8+6Ybbztv\nFZ7/579Ad4LZCeAzfqZNPebTN3cJnl+eGWUFxWwp/HrzqcgIKB5sf/qHnSKrhzs2NY7xA6Z/UmO1\n29u3urfFjB+TehrNxzkkBbhHRSVMJ9rTqlf4yZIEyXUJ5X0konr8qoaFtBrq8ZtFE1ethCj8BFqG\nmmnjcEFHzbRRqsWbtQDwpJ1taQVtaQWFBMavWA3GKXjykns/D3zrlQCloJTipsf/ETUY+Nqq1+D9\nF94INdUBnPw6pBasBgCUDTPw2XGyTJ7xK1QN5DQl8SZPCMEZq7px5aalwtFTQEBgXqJpxi+teIzQ\nbGL84hBg/Hhbeuq894azVsyqXsVWgRASUMzEQSZO4WdTnvGTAv8zhA8TpdTvjZvhwq8ZpFxzl/4h\nh/Hjr19mfpKdoR6/f3n1SfjF+873W1RaAEUmsKkzqaM3IfWMi7topdRzsmjP+IWfKvnMdKWWXPjp\nnqun1NDBeK5DSD0FWoaDY1WvAXm4VEtkyZhpSntGRT6loqQXQSmNLJyKejBOgd2YtCd+gCOjO6Ht\nuQ9tXavxz4dH0FMsY/GbrgPUNPDue4HcAuTcy7zEMX5pVY6dAWaBvlXDkaAm9fcxnL+uvqdAQEBA\nYL7AasD4eT1+KQWqJKEKu+UxCFMBvvCzbOo9hyilmKemfuOCJBHYttNaIYeknmEJbJjhNW3qMX5z\novALGZvwxQIrjNpTzj5mY1xDpwr5lIINfR0tXSf7Pps2bcrsJ5bxa2Gcw2TRnlaw43AJgD8xoSlS\nQ8ZPN21kVDlwjxOMn4BAA/AuncMxOXsMPOOXTyuwbIpyBEtoU8dGuo0rIjteuAOv3PZ+PFDdi1f3\nLcFn/vQPwLdegWNHdqB/48cAzS0SO1cAasbTbbOb+FjFTDRh8Rg/02oY3i4gICBwNMDkzD2isG5R\nGxZnCdYvbvMKg9lgh95I3pcJDfYZe2HZdE4UrlMNmTg9fjb1e/hUKVrqGZ641U3bCwafaalnM0ir\nMk5e5hdX/JiEFQ4nL5DxzbeegeMWt0379rUarDAybdtrnQn3bfLQlPp+OefvZxfjxyLA+F7UClf4\nMYKiUDUw7LKDjrmLFLhnNcOIz0WIEa1AyzBcqqE9o6JSMz2qPQ5+R6pcAAAgAElEQVRjVRNZTYYq\nS15hVdTNuhw83XK+pDzrlrrnBnxXq+DWxQuxxpbw5p2PAIaBX278EtrWvaTuswghyGoySjVX6lk1\n0JVNDnElhEk9TaxICG8XEBAQOBpgWcmMX19nBp95URZ9nRlvwDQbCqe7/+9mUMQPRsMFiWnb0CA5\nhd88nfEfDySJwLKd4xIu6MNFQlgaVzNtb8J1LjB+AHD1GSvw2N4nAAQLP7YfaRnYfOzCGdm2VoNn\n/IwmGD/NY/yC3ydjVjF+vhSWTVBocrjHz/n/3M/chULVxO7PvAy6aUNTpMA9a75KPednOSvQUgwW\n9YZmLYBTuLWlFHTlNC97Lw6FquG5ajK3tUKEwUvVdD6XFYdPDW7DVZ0EP2zL400lC7e+7m6sP//D\nqF38CexoPwudMfr3rKagXDOdDL+KkaiTJ4QgpcgYq5iomXasG5yAgIDA0YJGPX48WG/NbBg4OY7Q\n8UVHJhTozQa1lM4uc5qZgiI5OX627RfyihRd+IVPt25avrnLNMU5TBYvP3kJlnSkASBQLLD90GYB\ni90qeIWfRVGzbBCSLG+MC3DnXT1Na6YZP3+85kmSFcljngGe8fPHnDXO1dP7+1lw/5oKzI1vosCM\noX+ojG/f9wKeGogPWGcouYxdZ0bDSBNST1ZQsRy8SoTUs1BzCz932XzhEFK2hfdIl+HSy+5AKtMN\nXHgdBk96FwDEFnRZTUa5ZqFcs2BYNDbTiSGtShgs6s5nJoS3CwgICBwNYDl+zWAuSaTCRSHrV7Io\nxTx1cx8XZNf50eLMXQghUGWS6OoJALphQzcsEDJ3IjHa0iru+8glOH9tL8o1vzBgRWBqbhCXTcGT\nelo2aqYNTZYSDepkiUAiEeYutu15IxyzoHWuoxNBgPGLkXpG9fgZlg1VDko9Z8PE1VRgbnwTBWYM\n2wfGAKCpiIZSzUIuJSObklE24l09KaUoVE3vC8r31IWxv2Cgc/Q2fPsH54L+77VYfssr8b/7DiDX\neTkqxO/dYJruzhgJZ1aTUdYtjLjLNXLGSimyX/gJxk9AQOAoh9nA3IUHGzxZ9gx7uzeBMOPH+pVs\n0eMHwGH5bIo66euHLz8OV27qq1uWh27aqBgWMqo85xyvM+5kMQObmJ6XjJ/r6pkk82TQFCmS8Vvc\nnsY333oGvvSGU6dkW5sFP6mveL2oQVdPM6Lwq7n7HzB3mUfnmocY0QrEwrBsPH+oiFxKxuGCjoNj\nOha7EogwdNNCzbSRTzlGLbphw4qRBo1WDJg29fKDVFmCKpM6xq9039fQefhGfLEzhw7Jxl9u/x8s\nzvZASneg1H6MZ68MACNlA4Q4jk5RcKSeltfI25VtzPixOleYuwgICBztsOl4pJ7RvUCzEWklbO7i\nDGptKgo/AJAlPzOXHxS/44Jj6petK/wsr/Cba8hqcoAlqrhSQW3u7UosfMbPkXomRTkwqLIUMHfZ\nebiIwaIORZZmRe8jz/h5vaiKhELVbz+ybRpgcwG/8ONrQiH1FDjqMFSqoWbaOGVFF4Bkp04WlZBL\nKd4MaiWG9WNMWk/eZ+fSqhzQ0+/Z8Vv81eOfxZe78rioXMFPSB8Wn/1e4G+fBt63FSlVgc5ptkcr\nTnxEnMQom5JhU4qDY1VIhMSGt/PbA6BheLuAgIDAREEI6SaE/IYQ8pz7f1fMchYh5FH3323TvZ2A\nMzhstvD76MuOR28+hZU9s98Yiz2v2K6xHiVrHIXufIYkEU/a1+h4hOvkmuvqORccPcPIqCHGj/X4\nzaNRM5NCGrYNw7QTHT0ZNNln/CiluPhz9+BPO47MmiIp0OPnTkClZCkwXrQoxWAhOJ6tWY7UVQ1I\nPefRyeYwP/dKoCUouqHqi9sdlq+UELLO3sunFK9nLzyjwjBYdL5wPbmU91pKlVF1Hy41q4a3/ukj\n2KGqeOPYSnzu0CC6Lv0UcNknAUUDXPMVftZprGImyjdzbubO/pEKOjJKQ7c2xvYtbk+Lh7+AgMBU\n4XoAv6OUrgPwO/f3KFQopZvcf6+Yvs3zYdm0aenThesX4KEbLp32rLOJgBUlrHfLdOWpvJnJ0Qx5\nHC6H4fdZjl9anXtDzYwmB1RI1TkqWU0CO1+W7TB+zUo92UQAC7oHkmMgphP8ONBn/EgwzsGmOOwS\nEIBTwLL9F+YuAkc1iq7jUVdOg6ZIXiEYuaz7nsP4OQ/7KLMWADhSrKEjo/o3GcvAKTv/C+1P/Qfs\nP34R2lcvwKf27cFNtWUYzr0X5G13ACvODqwjpUgBqWdRNxPdN1kxOlisoSsXH+XA0OlKQS85flHD\nZQUEBAQmiCsB3OL+fAuAV87gtiSiUY7fXEXGK/xc9sNl/Byp54xt1qwBP/ht5HIaLpQtm6Jas+r6\nKOcCspqMom5i1fW349dPDqAyR/cjCYrku3Qyc5dGUDnG78n9o/66Zkk/3NnH9ODS4xdhWVcGC9sc\nciHc42fZ1FOeAc69jVKHzRQ9fgJHNUq6CYkQZFUZOU325JxxywJALiWDfVWiAtkBR+rZ2+azffb9\nX8GTA7fg892d+ND9I7iqUMS5AB5e8GJkK3Jd0QcAKVVCqeR8JqXUcxSNQ5a7YTcydgGAs1Z3Y0Nf\nR1PLCggICEwQiyilA+7PBwDEzTSlCSEPATABfIZS+tO4FRJCrgVwLQAsWrQIW7ZsacmGDh6pQLeQ\nuL5isdiyz5sujOhu75ZkAyB44ME/42CHjEpVx8GDB7Bly/DMbmADTPUx37PHl8Tt3LkDW+w9scuW\nipXA71sfeRQDhw0YEdfNbL9WDuz19/vrv3kMaYWAWBaKRX1Wb3cSwsf82cPOGOq+Bx7C/oMGajpt\nuG+mXsHeAecY/PJZ/xiVCmNTdlzGe628cSWAlRIevv+PAICx4WqgleiF/n4YQ/u833979z0AgP49\nu8BHUD9w/33oTE18smu2XuOi8BOIhROoLkOSCHIpJVHqWdBNaIoETZZAXUKtrvCzTFQtp1fw2MVt\nAIBdh57AP277T2zt7cbK1Aac9+p3AwtOAB77Ph6vXYzcwQFEIaXInma7atgwbZpY+PHvdTfB+Cmy\nhI7M/JvdFhAQmF4QQn4LYHHEW3/P/0IppYSQODeUlZTSfYSQYwDcRQh5glK6I2pBSunXAHwNAE4/\n/XS6efPmiW88h68+ex9yNrB58zmxy2zZsgWt+rzpQqFqAHff6TB/FRu5vvV40anLoNz7OyzrW4TN\nmzfO9CYmYqqP+RPWc8DzzwIAjlu/DpvPXRW77L9v/yMwOuL9fsKGjbj78PPoSSnYvPmswLKz/VrZ\nqezC/z63HQBw7Ko+jFQMdNbGkM9jVm93EsLHPL97CP/28H1Yd+JJaB/aCUk3sXnzeYnr6HjsD+js\nzGDz5tNx044HAAwCAHq6urB5c/0k/VRs93jxo/1bsfWQP5ZcurQP3bkUsN25rk878xzgt7/DcevW\nOV4Wu54HALzo/PObGi9O1XZPFUThJxCLIsei5VMKBkarscseGquiN6+54eeOTjog9SweAm56MWpL\nzwftfD/6OjO49elb8a8P3oi0IuHaRa+HrbwGS1euAwiBedZfY/Tu55FVoqn2nGu1bNvUk5kmmbCk\nVRmvO3M5xirmjOfMCAgIHD2glF4a9x4h5CAhZAmldIAQsgTAoZh17HP/30kI2QLgFACRhd9UwbKp\nJw2bT8ioMhSJIOs+Pq77n8dRNSwh9XTB98M36o0PS0GdHj8bPfm5J5HkVUJdWQ0HRquu1DNe+TTX\n0Oaa3BWqhhPn0Iy5iyJ5Lq+7j5S812ezF0J4v8yQ1JONIZ04B3/Z2bxPk8H8u4sLtAy8fDKXUlCu\nmZFZfqZl4+CYjiUdTq4eIcQNTHcZQlMHbn0jMLwLbdu/i57KbixqT6M7040LaRo/K6o459h3waZ+\nf8VY1QSlQC5GaZlPK7ApRalmBoxlkrCkI4NjF7fNmiZkAQGBox63AXiz+/ObAfwsvAAhpIsQknJ/\n7gVwHoDt07aFLsZj7jKXoMgSvvX2M3HJCv9h0z9cceKI5pGRx0QxHrOLqB4/3bDmpqsnV/ilFGnO\nxlIkgfkiFKomjCbNXVKK5MkmmQ8EAJRizPxmA8KFX8208eCuIe93pk7TlGCAuzB3ETjqUNBNtHGF\nn2HRgJMmw8GCDsumWNrpB6pn+AycO/4e6H8AY5d/Gp/q6UF117uhfecVuGzLF/Fvu55C74bXIu0a\nwrAQ9zE3aD2nRn/xWJFX0q2AsYyAgIDAHMJnAFxGCHkOwKXu7yCEnE4I+bq7zPEAHiKEPAbgbjg9\nfjNS+M3XGfBz1/SiI+Xv24rurMP4zdP9HQ8Crp6NzF1CI0rm6pmZg66evCNtzbJRrs3NAjYJrPAr\nVs2mzV3ybtsPpY7aqs8d9xWqs7fwU0PKsR89vBfPHCzggnW9ADjGTw66es7X+50YKQtEwrBs6IYd\nkHoCDgvI3/zo2H4M3/tjkNRlWNrph7tnXSkmykOgW2/BLzdcjv/3wo8w1JbFVVgEWBZQKwDnfQA4\n/2+QHmH9ehba06o3e5SKmWFm21PUjaakngICAgKzDZTSIwAuiXj9IQDvcH/+E4AZbzQzbTpvZ8AB\nJ6icQZMl2LYIcAcwroFw+HiZlo3qHGX8eKmnbjr7sZAzpZsPyGkKCHGknizAvOHfuIWfbtowLIrl\n3RnsG6kEAtJnG6JUXks60nj5SUvxh+cGPdWYI/Wc/4yfGCnPUoyWDaRUqekbZqtvrmz2hhVTfjaf\nhR5+O+/8DDY8eQtqV5yKrHas93pGlTFcMvDC1pvwqQWdeKC0Hcd2noDz267H1aedByxqC3xeSikD\ngGfYwqj3uISGPCdRKOkmspo8b2dnBAQEBGYa85nxAwB+jtG0qQhwdzGewo+9r8oEhkU5xm/uFX78\neEo3LGc/5lmcgyQR5DUFY1Wz6Ry/fEpGUbe8Yml5Vxb3Y2hWM35RTGZbWvH2t8SknqE4h/n6/Z97\n/PtRgh893I8/PDfY1LK7Bkv4ypYd2DtcbrjsvpEKfvXEAB7rH0lcbqTseNp2uU12KVeqwWfnwbaR\n2fErAMCmyoP+65QioylQCv0Y2HoztqfTuOGsG/Dhk7+EHvUYLOEkoQzsJsu04+WaBVUmsTMumf/f\n3p1HR3ZXBx7//t5Sm7ZWq9X7Zrf3fQObAHbHgG1swGEJBswSCEOCIZDEhwxMBsKSnAFC5gwhJI5P\nhiXBZhmCWYKNjYHGxnjfGm9tt9u92mq1utVSlVTre7/54y31Sl2b2lJJVXU/5+hIqnqqulWqqvfu\nu7/f/dleopfJlyqa0AghhJh7pQ5t7hKIDmN0XBdXgxT8Khu6NDoQDhY3DyosJUeTK7ptWfGLLjqf\nL7lkC05FFbBT9CUs0rMY6tkT8yp+wUir9UtTQO3luxaDaglt0jbD12mQxNqWgelfZhkqfD13ms79\nFG9juaJDOldi/2TtLppRu/zOSg/vrp/MAdz97EGeGklzx9MH6i7PMB4kfimvlW05MYvM8dtzL/Hs\nKK4yMbbfBhP74OtXcNfXLuI3+7/P7z/5N5w/neHWi6/nqpOuYmSiyEDSrjokMziTFswLzBZKFWPs\nZ1JKhWPNJ7JF+mW9PSGEmDeO29lz3txI4zLH1bjS3AWYMcevYVdP73tYSfGPMdox8VOUH2u+5JJt\n0yGrjfQl7HCop93kUM9s0WHC78Owfig13yG+aNUqtcmYie2/YKcic/xs/zXeqdU+kMRvUTrkryB5\naKqA49Za1qksSNKeG5uqXEKhinSuyIr+BI7WdRPF8akiyZgZftAlrMqKHNnD8JOPUrD72b7hKth9\nD8/d+GY+lHuaP7XG+e2uG1g5+RD5l3yIvvXeuk/7J3OsGkhUvb+4/4ETJJZT+cZn13rj3hCFyWxR\nFloXQoh5VHLdjp3zArCuz+AzbzgV8Kqbrgz1BCrnPjY7xy+oHKX9A+p2bO5y8qo+PvOGUxnui5Mv\nOeTadMhqI30Ji0zeH+rZZHMXgNFJbzmE4d7FP++xp0oRIWmbYaI7lS939Qxe4538Wdd+78YuECR+\njqvDpK4WrTX7J/P0xi0cV3OozvZaazK5EmsHk2wYSvHcWKbmtuPTBQZT5WTKNhWGUuWung9/C8a2\n8csz/oFtJ7yLLy4b4k3JDA/29vOXOZObtv8OG0gfdyUArquZyjs1EzTbNLBNVR7q2cR4+t6ExVgm\nT9HR9NeaDCiEEOJFc93OPguulOKt560DgsSPjh3qNRtmdF2zhl09/cTPP6AO2v2349w4pRTv+b2N\nrOiPk8k7FB3dkYlfb2SoZ7zJih/AiD8irTdh8anXncJ/fvD35jXOF6PaVKBUzAoT3WDpsZhZXs6h\nkz/r5Gh5EYome2OZPMvqnFGZzJXIFhzOWDvA1r0TZOuspZIrupRcTW/CwjYN7j14sGYnp8PTxYoS\nvipMcebYj1mezsN9j3rdOoeOZ3vP2SxJHuDbvSmujK3gw2+4gWWH9+B8+2p2m2sopdYyjJfIuVrX\nnYuXsM0w8csWSqzqr14dDCzrjbNtJA0gFT8hhJhHnV7xg/JyBEX/BKcM9Zxtxc/73glDPQNxywyH\nNSZjZiet3w54Qz13jk013dylJ+79L4OpSL1xi/e94ph5jfHF6o2XX3+moXBcTSIyx6/aAu5WB6/3\nLInfInRoyqu2TeZKjKULsLL2tqP+m2/jsh627p0IS9bVpPPeh1d/wsJIKrSGA5l8uA5LIF/y1sYL\n5veRm4RvXMHmka0AaOA3yQS/23gBRUdz8tKTuOUtt7Kyxw+0Z5jMNY9w053beVWhcqHP3jqVubht\nkiu5uK5m2p9IXa/eGR02KnP8hBBi/nR6V08gPOgrOn7i17nHfk0zZjHH78ihnt4xR3snfgYHD2cB\n/3F0XOJnMT5dROvq3S9nCoZ6jkyUK36LXbTgYJte4peqNscvspxDJ3/WLf7/WBeayBYZ6o3jam+d\nunr2T+YxDcW6wRRKEa5/V015iQY7fLPun8wdkfhNTHv3uTRlwb6H4OlbYWQrd539JbYmLO4Z+Rce\nIssad5yL3Sy9cZuVPUsrbiMZs3ENO2zWEjyOemvtJSyDXNEhV3LQ2ju7Vi/xW9GfQCnQGvoTkvgJ\nIcR86fR1/KBcsSo43tx6Geo5y3X8Zgz1DI452nmIZNwyOBxU/GwTmuu51zb6ElZY0Wx2HT+A/Wlv\njl87rJ9cmfgZ5Iqu39xlxnIOXTLHb/H/x7pQJl9i3WCKTL4UJk617J/Msaw3TswySNom03UqftGq\nW2/c+wom6EYF8wRX7Pg+3PoXAOw89pV8qXQX20ceZDg2wCenLc69+D/48VP5qmd8YpZBzDLCFr8Z\nP656HxLJmMmhqUL4Nz1xi4k6jz1mGQz3xcnkSk19YAkhhDg6jqMr5nt1IqW8JYQKwVDPDj74a9Zs\nunoGFT/LUBiqc4Z6Hp6ODPXsMNGT5tUWOp8pOIbbP5HDUO2R1PfOSPzAi3vmkGTbVOH1ltm5731J\n/FpkIltk+2iGc9YvqXsWseS45IsuqZjpJXJ1unRqrdmfznGivxh6Km4xXSdRzORLGErR43949Sas\ncFJr1Hgmz2u2f47eA7fgrDgVM5/BvOCD7H/gi7xy6L3878uuIWEleGzfBLC/ZjKXsM2wy2gm5913\nvU6dCcub4xckqM2smXPO+sFwfLYQQoi588iew8Qtg5NX9VNydVcMfTQMVR7qKRW/Wa3jFxwrm4bC\nMoxw39wOyUEt8UhH0k5M/KLHb7Op+I1M5uiNW21RFY9W/Er+ezsVO3Idv7hpRip+nfthJ4lfizy4\n6xCP7plg9ZIEqwaOXMA8ECRuPXGLhG1ycKr2YMeJbJF80WWF3wQlZZtM10mC0rkivYnyGzVuGeGZ\nTbSG770LTrwC64CJMX4L1246lcLwifzTJdezDvhs6WyeGc2SsLz7Cz7UayV+qZhJtlgKt+2Jm3U/\nJLzmLm447KCZhi0nr+pvuI0QQojZu/Z7j3DSyn6+evU5FB23qYpAu4tW/NrgmHbeWbMZ6uk/YUop\nTEOFJ3ETbbicQyDa6bI/YZNewFjmQ19itomfl/xOZItHTBNarHoiCXuwRFoyZoav7ehQT+nqKeaE\n1podB7xF1reNpOsnfv6QyGTMJBkrd7msJminu7zf6/rZEzfZd7j2nMCRiRxDPbHw95hleGPwb/og\nuEX0kz/hgekX+Cc3zUNrVtGr8rxt2ak4roNpmKTiMfKlDFprlPI+1FMxs+YbJBUzw+Qwky9VfMBU\nk7ANHFczlsljGaotxo4LIUSn6k/aTOaKuK6m5OquGFJvRit+HXzw16yKil+TyzmY/pDZ4ER23Grf\nSlk09oFk5yV+g5FjwmaWc4gel/XE2+P/Gq34OdpP/GoM9Qy7enbwe1+OrF+Ep0YmWTWQbFiZOpDO\nk/bnoT2zP8NFJwzXrHwFzVl6YhZJ26RQcik5btXWsvsnvQRpqMdL/FIxi+l8KUzMKm63qBkvFjlz\n3ZLwsrhlUizk4NEbAbixv5fPG6Ms1Q7vtk7lT9/yNfpifRXbaw35kkvC9pK6eh2dkrbJAX8C8FS+\nxFBvrOa2UJ4HMDKZYyBlt8UQAiGE6FT9CZvD0wUKfiLUDYmfZajw8RqyD5rlHL/ydpapwqkqttW+\nz2M0GRpI2uxdwFjmw/ql5WW7munqmbRNDAWubo/GLlA5d7HklCt+0eUcDOUt4RC8xjv5pM+8fYor\npRJKqfuUUo8qpR5XSn3Gv/wGpdQ2pdRjSqmvKaVs/3KllPpHpdR2pdRWpdQ58xXbXCiUXG753QgP\n7x5vuO2eca8V8Nnrl5DJl+rOSQvmxKXiZjguvlaDl/2TOYb74uELtCduUnJ1uNOKGp32Ltsw1FO+\nUOV5+sAN3J/wEsdLCgZ/PXaIW/aMcOnZn6lI+qA8XCNf9G4rnS/VfeOnYhbTBcdbOL7BttHbH53M\ny7p8QgixwPoSFpO5Ujnx64KhnqZRngJhdPDBX7Nm09UzuF4p73nM+89jOw8Rjs7x68TjkrWD5RFo\nzZzYUUrRE/OO5XrbsJt6yR/qGV3OYbrghI89uKyTK37z+W7MAxdrrc8EzgIuU0pdANwAnAScDiSB\n9/vbvxY43v/6APAv8xjbi5bOeUMqD2bqLTjgGZ8qkIyZ4XjoYA5bNUHJOWWbJGPev6da4ue6mgPp\nfDi/DyBpe2/Gap09D+U0PXGTwZTNnvQe/v7+v+dT913JLdM/5NaeFFz4MYbf+i2uSk+xb+mFJIfW\nHXEbQUUuV3LCWBt16XRcTTpfolByGyZ+M4dUCCGEWDj9SZvJbDFMhLqh4mcaSHOXiNms4xeM0vGa\nu5S3bevEzz8uifudyjtN9Lir2f9T8DwMptr3OC26gLvj6vDnbqj4zVudVmutgYz/q+1/aa31zcE2\nSqn7gLX+r1cC/+7/3T1KqSVKqVVa6xfmK8YXY9KftHxw6sjlEGY6NF1gaSoWJjMT2SJrB6tvO110\niNsGlmmUE63CkRW88ekChZIbzu+DcsepbNFh5s1PFzXrUjE+ffenuemZmzCVyaszE7xjMs1Z+QJs\n/gQYJiNXfJ0t+5fx+ipncsIKZMGh6LhkC06Dip+3fbBkRKOFPqNthSXxE0KIhdWf8Ob4hYlfGx/A\nN8syDIr+cLAOPvZr2qwqfkHi5zd3CbTz6yYY6tnOS1I0q9nENmg6+OZz1jbYcvFKxayKRDf4P5fn\n+LXva7aReR2gq5QygQeB44Cvaq3vjVxnA+8CPupftAbYE/nzvf5lFYmfUuoDeBVBVqxYwZYtW+Ys\n3vGcy6GcZtOS2m/wTCbDli1beG7CYeeoV/m6tbibeJ01Px54rsCqHoOHMtvZtavIHZN7ODBU/T7u\nHykxmdds2bKXyYJm564id+T2srav8kW4e9Jh536HZ/U+Djytwvh37inx6/xeTs0/zLo9P+Q3p3yU\n+3NbmcicS+rZbeik5tKBS/l9+yQu3/GX4e1tueNOAHZM9PPYaJa1999Ncsa4/Iwfz525vQzGFTt3\nFVma3UN2d/XHMjrtsnNfiZ9P7mHnIYffFfcykqr/ZrInSjwz7rK9uJeJHUb4fLejdo1d4m6tdo0b\n2jt20Vh/0qLo6Fkt8NzuzEhXTxnqOSPxa9Tcxb9aKRUOmQMqfm435cSvc1/7w31xDqTzTb+/1yxJ\nsu9wllcev2yeI5s/QWNC01A4rg5PTgRdPWUdv6OktXaAs5RSS4CblFKnaa0f86/+Z+AOrfWds7zN\n64HrAc477zy9efPmOYv3+jueZcp0OOeCYyqqT1Fbtmxh8+bN2NvHOJw6BMApZ69lXWSCbFS24PBw\n8VkuPGEZ525YynP2c6xZkmDzaauqbj/6gJf7bj5vHdOFEs/+egennbScsyJNWQB+tW2UdN8kr7to\nU7hzmsgW2ffrx7mg92leePZWPht7ni0vfI4SLpdqxR8MrmbTJZ/1buCZn8P9sL/nZJIv+2M2v2Iz\nANYzY2R6x7ns4uOOaK6SKzo8s+VZTj1xmOHeOM+ovWw+Z03lvMHoY0nn2HfPbtYs7yU3muE1L9/I\nklT9Bi+b/cfR7y87ETzf7ahdY5e4W6td44b2jl00FuwHgykN7Txkr1nR5i4y1HN2Fb+wq6cxc75f\n+z6Pcb/S18kVv5X9CQ6k82i/42Ujt/z5KzGUausGfMEINtv0E7+w4tf5Qz1b8imutT4M/Aq4DEAp\n9TfAMPCXkc32AdGJZWv9y1pG4f2jg6UX6pnMFsMXSr219g5Ne9cN+gnPQNKuO8cvkyvPm0tY5aGV\nM41OZFmVdCrOSCZtk2N3/wPXPPUp/oQXeCAR551Fm/+48Ov8yfhtHPvb/w4HtkE+DaNPAvCfp36F\niVOuDm8jnSvWXJQzbhkYSpErOGH30bpz/OxgqKe37ERPkx2gBpLS0VMIIRZavz/kPpjS0A0VP6Oi\n4rfAwSwCs+vqGZ3jFzTLMNp6fx5W/Np4SYpGLjttJQC98exbbCEAAB25SURBVOam2PQn7Lbp6FlL\nMDUqOJk1c45fJzd3mbf/nFJqGChqrQ8rpZLAa4AvKKXeD1wKvEprHZ289mPgw0qp7wDnAxOtnt8X\nfDZtH80cUWGbKZ0rsbwvzv7JXN1EbtxPCpf2lBO/58YyVbctOi6TuWK4KLlhKH9R88rEz514ntf+\n4hL68yO4e97EvRf8EVOFNK86+AKbR27lZ8MD/Nn4BK8+7d3E7r0O57tvwSz43Ue/+lJYdz4s3YTT\ns5K8PUC+VL79dJ0lGpRSJGyD6YJDPF9eaL6WlN/5KZ0rVUykFUIIsfj1+/uCYFmebkj8ZDmHStHk\nt9HBcLnKV57jF2/z/X7Q/KSTh3pes3kTl522kk3DvQsdSssEhYlgiGe5q2eQAHbu/3s+U/ZVwDf9\neX4G8D2t9X8ppUrALuBu/yzQD7TWnwVuBi4HtgPTwHvnMbYjlBw3XGZhZCJbdS28qMlckbWDKaby\nJTK52sszBLcZnB3pjVtM5R1cVx8xf2B8uoDWVKx3l7SNI7p65u/9GoXiAb563IX8dOJu9vzyAU62\nB3n1048SVxZXn/Jlzh8uwilXwlnvwP3GH6BQ6E2vxnz257DnXhjfibvidO/2SuX8O50rsWZJglpS\nMZNs0SFZdDCUqrvgp2ko4rZBvug2bOwihBBicSlX/LwTmO3cpKNZpqHCfa4kfpVVvkZzHoOny4zM\n8bPb/GRBcIzTzovQN6KU6qqkD6JDPSsTP6n4vQha663A2VUur3qffjfPD81XPI2kcyW0hmV9ccbS\neQqOW/ONHiSJA0nbX5evdsUvnSvREzfDBdiDNWEKjkvCqLz9Q1ORYaFP/RT6V5OMDVUO9SwV+OYz\nN/Cv69dQcnZyrja5Rq3kNbu3wYmXc9Oav8LuXw6nrPG2X3Um9//+DWx74Fe89+pPwNg2+OcLILMf\n/aq/hbFy4ld0XDK5Us35jeCNc88WHaYLDslY4yEcwWKZ/ZL4CSFEWwn2BWNdVvEr+vvETp7n06zo\nUM+GFb/IUM/guWvnxi4Aph9/vIMrft3gvS/fyNfv2hn+HpzEsK3gdTpjjl+bv27rkVey77A/XHP1\ngFftqrYWXnRbrWGwx6YvYZGuW/ErVoybDs4e6d98Gb5yLkQm0x6aKqAUDJKG770HvvE6Vkxt43B2\nghtuuYaxH7wffvhBTpga5zzrXL516ff5xvLNvG7HfcRzE3DRX2H0Dh8xJ3CXsZZ9gy/1xmwMnwRL\nNkDvCszTrgQI5zOMTORwtWblQO2KXzLmDT3NFp3wjEk9QfXygmOHGm4rhBBi8ehPeifsxjJ+4tcF\nFT/DUBTC5Rw69+CvWbOp+AXPl1JUzPFrZ/mid3zUyc1dusHfvP5Udn7+iiMuD16f4XIOMxLATiRl\nGF8wT2/VQJKteyeYKpQY7KnegfJwpGHLoUyBTL5UdegmeM1aBiKdLIMqornjdji4HQ7tgKFNAIxl\nCgwkbaynfgRukadivdz6zCe4LeZQoETi8DRvHh/jjI2v59EV/4NTh4+D4y+Fh78FL/0TWH02yYMv\ncHi6XIF0Xc1YOs9ALOyzDG/8Vy8GO45tqrDit3c8i1Kw2l9ovpqkbXpz/KwSyVjjl8/rz1wNULeK\nKIQQYvEJK35+V89uqfgVSsFQzwUOZhGIJn6NDobDrp6ROX7tfrIg6IEgiV9n+MW1F7HrYLmBYzjH\nb2bFr4Pf/JL4+dK5IqahGO7zFkSfrtJJMzDuJ1ZLUjZ9CRutIVOoPkQynS+xdrC81EPCNkC7WPu3\nehfsfQCGNpHNl9h9YIJT1i4l+9vv8uF1G7nPckm6WV6bKfJ21c+pH3oAdt/N76Y2kDrkemcmTnod\nvPvHsPEV3u37c/ACh6YLlFzNskTkw3fDy8If45YZVvz2jk+zvC9R9wMuqPhNFwyW9zVO5iThE0KI\n9hS3DGKmwUG/4tfu1ZtmmIYKF3Dv5IO/ZkWrno0qoMHTZRoqXAet3V8z5x/jjVZ678s3LmwgYk5s\nGu6tmM8YvE6DY/8g8bM7uLlL5z6yWZrKO/TErbAJy1S+9vDN8akCPXGTuGWGTUuqNXjJl5wjGpsk\nCuOc8/yNGIW0d8HD/wFP/ZT0N69k0xPv58zeSZK772V4YCPXnv0Rfjpu8mfTSzjhddeBFYdjNzPp\nxMq3aRhw7EXgzxdM2V4iV/K7ko1OejvsgXj1D2yvS6cX+2g6z6o6wzzBq/hpDYeni6RicgZMCCE6\nlVKK/qTFmD//vF4zr05hGQZFRxZwD8xmHT8zHOqpygfQVns/hysHEuz8/BWcs35woUMR82B8yivk\nnLLa66ZvdsEcP6n4+aYLJXpiJgnbW6uuXsXv8HQxXIg8SBQzVRLFKX+eYHS9k4Hbr+Winbd4v9gp\nxnffxXcPP8q3+/uY7Df4+e0fAeDzr/pHGNzAY0Nv5edP7Od9w8cw4N9GOleir0azlGBtklzJpdc0\nGMvksQxFb439dX/SZjJXoui4FEqNu28mI8meDH0QQojO1pewu2qop2EoSq7M8QtUJH6NKn4VC7h3\nxhw/0dn2Hc4ChMuoBUuRdPIcP3lH+qbyJVL+wuU9cbN+xW+6wFI/8QsSsHSuBLlJ+NabYf8TQHne\nYJikuQ7WnrsBeD6W5G/PuoxLNqznq4NLWG2t4R8P5hna+VtY/3swuAGIJHKR4ZuZfKnm4plBMhZs\nP5EtMpCya+7A+pM2k9li2MymUcOWwch8Ran4CSFEZ4vuE7rhID56wNfuHSnnQrRhS7PNXcxIxa/d\n5/iJ7nDSyr7wZyvSlbYTScXPN1VwWL3EHy4Zs5gqVE/8Co5m2nUY7PHmrsUtr0KYKzqw407Yfjv0\nDMMbr+OFiSxrJh9m9bf/CN71Azj0HMXcYX5xwufIHn8yNz31ca447kreefK7uOUhGDz2SZTeDme+\nPby/YKcbdOosOi7ZglM78bOqJH5JG/LVH/dA0qZQcjk4lfcfe/1kbrg3Xo5NEj8hhOhoPfHy53w3\nVPyiB3zdMLS1kSCBa6YCEmyiVHmOXze8ZkT764v0o9gwlGL90lSdrdubJH6A42qyBYeU36WyJ27W\nXKJhqqjBJBzqqZQiGTO8xGzXb72NHv8hXPZ5RiZyvGTsh6jRx7nztmv52tSzDC9fzonLL+TYvtX8\n8q2/ZCA+wMR0EVc/B8dcBGveUHF/YeLnJ3JBJbLWkMyEv9ZMruiitWYiW2TNYBIOV3/sQfOVkYmc\n/9jrvyQMw1uYtejoppZzEEII0b6i3Zu7oXpjVSR+so8LqnzNDHs1Ix0Rwzl+XfCaEe3r5o+8kmyx\n8nj/tr+4aIGiaQ1J/CBsbhJU0ZK2GTZFmSlTBMzKIY9Jf1Fzdv0GBtbBxB70zz9FKrOerVN3c+2a\n1TyT2cqKUolXb9hMPjFAvuQwEPdm7QVDQgeSR3bADKpqQeIXJKR98erdMuORoZ65ojdvrz9hk67x\n2IP7fMFP/Jqp4q0f6uHZ0YycDRVCiA6Xqhjq2bnDnwLRip9Uq8rPRzMVP1WxgHswx6/zXzOifQVN\nXbqJJH6Um7Ck/CEtcdsM126ZKVPQqGRlkjbgHOLVN78V8gdg8ycgO4669zqeGFzC14f6OS65gr/r\nP4XX0oP9ms9xwwP7wrXzIJL4pY5M5uKWgVKQ84d6ZhpU/IJkLF9yKhLKRonfyKSX+KWaqOJdeuoK\ntg2lwva3QgghOlOwX4yZRnhg38kqEj+pVoUNXZrpcGqGQz2Rip8Qi5QkfhDO5+vxh7TELYOio3Fc\nfcQEz0xRsyxpV1x+xvbrUIVxfnHOW/hR4Tn+6Mz3sTq+EXs8yRc2aC479z0YqvzhF7dM8sXKxM80\nFL1VFkRXSpUrikQSvxpDMstzDl0mc+XEb2+Nxx6zDFIxb1H2mGV4awM2ELdMzli7pOF2Qggh2lsw\n77tbql8Vc/zs7njM9QTLmTU1xy+ygHs4x08SPyEWFUn8IOxoGVb8/B1coeQeMfQxXdAcn4qB1jg/\nvIYH+we5OXM7P9uwjqnx+1iaWMpofpzCxrdScg7ymrOPq0j6gts/PF0If5/IFulPWDXPqCUji7Jn\nciXitlFzJ6yUIm4b5EsOh/2F5vuT9f/Ny/vj7BybpkeatQghhIgI5r53S+JnScWvghkZvtmIoWSO\nnxCLnSR+QDpXRKloxc9LgPIlpyLxy5cKjBRHmHBjMF7AffRGPrJhLU5Pig2Jl/DRV7ybl61+GZZh\n8bPHXqAvYVX90ItbBrkZFb9qwzwDCdsMu3qm8yX6GjRgSfi3Xyjl6UtYDSeor1+aYufYNP7SRUII\nIQRQrvh1cnvzqGBuGnRPsluPOYvmLkZkAfdwjl+bL+AuRKeRxA9vftuy3rj3Aec69B64n6GpPPnS\nem548gYe2v8QOyZ2sHNiJyWrxN6dx/Ke2LuwgetGRkmd8Rf8NPYWXrJiE5bh7STHp4sVDWCiErZJ\nruigtUYpxUS2yMqB3prxJW0zrBBmcqWGi6wHt58tOgz1Vo8hat2g17Y2mBMohBBCQDnxc7rkzGD0\nXK109fSSOEM1N9QzeO4qh3rKcyjEYtL1id/28e3c8fwWVGyU+34xwnP77kIXpvjB84c5cPZd3PP8\nPeyY2MGxfes5Y+Bcdj4zzccLu+C2T4KV5KyP7eKJ0Tw8PkKu6JCwTbTWjE8XKhaEjOqJW5RcTa7o\neo1bik7Vjp6BpG3yQjjHr8hwX+0kEbzEL5MvMT5VYO26xnPxgiYtxy2vf7tCCCG6S7CcQ8lxG2zZ\nGaxIxU86UnpMQzXV3KXc1TPS3EUqfkIsKl2f+H314ev4xcFbMZXJBnuA4zOH2TB0Bkr/hlX//jK+\n3L8S46x3wj3/TNYeJDs1yVJnzPvj3pVgxUnGvIYr2aLDEv97vuiGa/3NNODPuUvnipHL6iR+MZNs\nwcVxNdN1Fm8PJGyD58a85SiGehpX/JRSfHDzpqbO6AkhhOgeQafnUtdU/Lz9oNdRW/aJ4A3hbKri\nFxnqGWwv8ySFWFy6PvG7Yv176M9dzp++/HxW3XQVsIKJ13+XO/Jf4iWlB+mf2gW/+jsYPon42HZM\nDHjbjfCdd8BZ7wDKi6YH8/DG/aYqtYZ6BoumT+aKaH9f2l8n8UvYJq7WHJzKozX0NRjqGR2e0sxQ\nz+A+hBBCiKgev+lZyemOxC9MWGR+X6jZil9QLK1cx0+eRyEWk65P/HRhOStSSVYkFOy5D17634jb\nJltXvYUlJ3yQc9cNQCEN8X5u/6/vMHLgEO8+6Qr4+G6wewBvKCYQNmwZn/Lm4w3WaNjS5yd+E9kS\n2s/8gmSwmuD29094Vbx61UEot6BWCpY2UfETQgghqgmHerrdMdTTiFT8hMdssuIXdvWMzPGTxE+I\nxaXrE789B6dYO5jC2HcfOHk45qJw0fR8yfFOYSUGyJccnkieS2LJHu8PEwPhbQTVsmDJhcPT3rp8\ntZK5hL8cQzpXxHE1CdusW3ELOovu9xdZr5ckQnmOwgXHDsnkdCGEEEctaO7SJSM9wwRH9p1lpqlm\n2dUzuoC7DJcVYjHp6sQvs+M+Lr3/Yxy+9Cuw7RYwLNjwMpRSxCyDfKl8hvNA2htmuSR+5IdYedH0\nYKhngSUpu+bQCKUU/QmLyVwJ19UN19kLKn4jkzkMpRoO9Txj7QBLUjbHS7MWIYQQL0Kqy9Z3NSVh\nOUK0gld3u2AB9+haiFI5FWJR6erE7+Do86yY2s7q728G7cDpfwhxrxNn3DLJR9baG037wyyrJH5K\nKZIxI5zjd3i6ULOxS6A/aTOZLaKB/gaJXJD4HUjn6U/WTigDCdvkhBXVO4oKIYQQzQoWcO8WQaWq\nmTlt3cIwVNi4pe52/iamoQi2lqGeQiwuXf2OXHLmFTz3pltQ2kvYuOCa8Lq4ZXhDPX2jk3l64xbJ\nGq2Jk7ZJtujguprD08Wa8/sC/QmbyVyRTK7UsIKXiJX/TY3m9wkhhBBzpfsqft7+Vrpcl5lKVVTx\naqlYwN1P+KSrpxCLS3edypthIGkzcOoZsOoReP4hWHNOeF3MMihEhnoenMqzrC8GE9VvK+Enfulc\niZKra3b0DO87ZYcVxd54/WQuZhr0JSzSuVLDpRyEEEKIudJ9iV/wXRKWgNelc3bNXYLNbRnqKcSi\nIu9IgKXHwGlvrrgoPmOOXzpXqt95M2aSKzocnPKGhA426Ka5NJIYNkrmlFJceMJwGJcQQgjRCt02\n1DNI+KRQVWYYNNfcJUyay/P8YjJXUohFpbs+0WchbpkcKHpJXNFxyRYc+hI20zW2T1gm2YLDQX8p\nh0YLpy+NrK/XaKgnwPHLe7n89FWsW5ps7gEIIYQQL1IzlZ5OYoUNSiTzC1iG0VRzl+hQT1nOQYjF\nSRK/GoIKHnjVPvAStFqJn7e9y1g6T1/Carggel/cwjYVRUc3NXxTKcWJK6VhixBCiNa66rx1XHzy\n8oUOoyWCRFfm+JUZqsmKX2SopyzgLsTiJIlfDamYSdHRFB2XdK4IeInf/hrbJ2wTV2uen8ixrDfe\n8PaVUgz2xLymMU1U/IQQQoiF8IW3nLHQIbRMuCRBE4lOtzCN5hZwjy7nYBtS8RNiMZJ3ZA3JyKLs\n5YpfnTl+/vaT2SJDvfWHeQaGemKkYqZ8MAohhBCLQLW16LpdzDKaOk4JcmWlInP8anRCF0IsDCk1\n1RAM1cwVvMRPqfpNWJKRzmfNVPwAXrZpGaevLb24QIUQQggxJyxJ/I7wyStOoaeJKSlBldQ0FBuX\n9dCfsFizJDXf4QkhZkESvxqCRM6r+BXpiVl1dwTJyJy+Y5b1NHUfA0lb1uUTQgghFglTFnA/wvnH\nDjW1nREZJnvCij62fvrS+QxLCHEUZIxhDTOHejbqvBlsvyRlN2zsIoQQQojFR5q7HL1oV08hxOIk\nFb8awsSv4FX8hvsSdbfvT1pcdOIwJ66QzptCCCFEO4oOVxSzEzxl8twJsXhJxa+GuGWgVJD4Na74\nKaU4Z/1gU+PghRBCCKXUHyqlHldKuUqp8+psd5lSaptSartS6uOtjLHbaP+7dPWcvbWDKdYOJjl2\nuLnpLkKI1pPErwbDUCRsk0PTBUqubmqRdSGEEGIWHgPeBNxRawOllAl8FXgtcArwdqXUKa0Jr/uU\nXC/1M5tYsFxUGu6L85v/fjGbhnsXOhQhRA2SzdSRipmMTuaB+ks5CCGEELOltX4SGs6JeimwXWu9\nw9/2O8CVwBPzHmAXcoPETyp+QogOJBW/OhK2yUS2vHi7EEII0WJrgD2R3/f6l4l5EFT8pLmLEKIT\nSTZTR3SJBkn8hBBCzJZS6nZgZZWr/lpr/aN5uL8PAB8AWLFiBVu2bJnru6gpk8m09P7mUhD743u9\nk70HRve3xWNp1+dc4m69do1d4p5bks3UsXGoh+2jGaAyCRRCCCGaobV+9Yu8iX3Ausjva/3Lat3f\n9cD1AOedd57evHnzi7z75m3ZsoVW3t9cCmJ//t7d8NjvWLN6FZs3n7HQYTXUrs+5xN167Rq7xD23\nZKhnHSeuLC/NIOvSCCGEWAD3A8crpY5RSsWAtwE/XuCYOpb2+3raphweCSE6j1T86ohZBpeeuhLH\n1Y03FkIIIWZBKfVG4CvAMPBTpdQjWutLlVKrgX/TWl+utS4ppT4M3AqYwNe01o8vYNgd7c3nrOWx\nfZNce8kJCx2KEELMOUn8Gjhldf9ChyCEEKIDaa1vAm6qcvnzwOWR328Gbm5haF0rYZv8rzedvtBh\nCCHEvJCxDEIIIYQQQgjR4STxE0IIIYQQQogOJ4mfEEIIIYQQQnQ4SfyEEEIIIYQQosNJ4ieEEEII\nIYQQHU4SPyGEEEIIIYTocJL4CSGEEEIIIUSHk8RPCCGEEEIIITqcJH5CCCGEEEII0eEk8RNCCCGE\nEEKIDieJnxBCCCGEEEJ0OEn8hBBCCCGEEKLDSeInhBBCCCGEEB1Oaa0XOoajppQ6AOxq8d0uA8Za\nfJ9zQeJuvXaNXeJurXaNG1of+wat9XAL76+tLcA+Ul7LrSdxt1a7xg3tG7vE3Zym9o9tnfgtBKXU\nA1rr8xY6jtmSuFuvXWOXuFurXeOG9o5dzL12fj20a+wSd2u1a9zQvrFL3HNLhnoKIYQQQgghRIeT\nxE8IIYQQQgghOpwkfrN3/UIHcJQk7tZr19gl7tZq17ihvWMXc6+dXw/tGrvE3VrtGje0b+wS9xyS\nOX5CCCGEEEII0eGk4ieEEEIIIYQQHa7rEz+l1NeUUqNKqccil52plLpbKfU7pdRPlFL9kevO8K97\n3L8+4V/+d0qpPUqpTBvGvkUptU0p9Yj/tbxN4r5KKbXVv/wL8xnzbONWSl0deT4fUUq5Sqmz/Ot+\nppR61I/7OqWUudjjVkr1zbh8TCn1f+Yz7qOI3VZKfdO//Eml1Cfq3U6bxL3Tv/wRpdQDbRT3R5VS\nj/mv8T+f77jF/JnDz+uW7iPnMG7ZP85D7LX2Nf51so+c+7hl/7i4Yl+4faTWuqu/gAuBc4DHIpfd\nD1zk//w+4HP+zxawFTjT/30IMP2fLwBWAZk2jH0LcF47xe1/3w0M+5d/E3jVYol7xt+dDjwb+b3f\n/66A/wTe1g5xz7juQeDCRfZaeQfwHf/nFLAT2Fjrdtok7p3AslbEPFdxA6cBj/mXWcDtwHGtegzy\ntaCviUWzj5zDuLcg+8c5j33G38k+cv5fK7J/XCSxs8D7yK6v+Gmt7wAOzbj4BOAO/+efA2/2f74E\n2Kq1ftT/24Naa8f/+R6t9QstCDk0V7G32hzFfSzwjNb6gL/d7ZG/WQxxR70d+E7kdib9Hy0gBszr\nRNu5ijuglDoBWA7cOYdhVjXL2DXQo5SygCRQACbr3M68mau4W22O4j4ZuFdrPa21LgG/Bt4037GL\n+dGu+0jZP7Z2/+jfv+wjad0+UvaPrdcJ+8iuT/xqeBy40v/5D4F1/s8nAFopdatS6iGl1F8tSHT1\nHW3sX/fL5Z9USqlWBRsx27i3AycqpTb6b6o/iPxNK9WKO+oq4NvRC5RStwKjQBr4/nwGWMNRxe17\nG/Bd7Z/GWgC1Yv8+MAW8gHe2+0ta65btzJpwNHFr4Dal1INKqQ+0MtiI2cb9GPBKpdSQUioFXM7C\nvDfF/GnXfaTsH1tP9pGtJfvH1murfaQkftW9D7hGKfUg0IeXpYN39ukVwNX+9zcqpV61MCHWdDSx\nX621Ph14pf/1rtaGDMwybq31OPBB4Lt4Z9V2AgtxhrZW3AAopc4HprXWFWPntdaX4g17igMXtyjW\nqKOK2/c2qu/sWqVW7C/Few2sBo4BrlVKHbswIVZ1NHG/Qmt9DvBa4ENKqQtbHDPMMm6t9ZPAF4Db\ngJ8Bj7Aw700xf9p1Hyn7x9aTfWRryf6x9dpqHymJXxVa66e01pdorc/Fe/M+61+1F7hDaz2mtZ4G\nbsYb67toHE3sWut9/vc0cCPei7Ud4v6J1vp8rfXLgG3A04so7kDNHYDWOgf8iPKZopY52riVUmcC\nltb6wRaEWVWd2N8B/ExrXdRajwJ3AectVJwzHU3ckffmKHATi+u9WS/u/6u1PldrfSEwzgK8N8X8\nadd9pOwfW0/2ka0l+8fWa7d9pCR+VSi/a5dSygD+J3Cdf9WtwOlKqZQ/fOIi4ImFibK62caulLKU\nUsv8v7GB1+GVoRd13DP+ZhC4Bvi3RRR3cNlbicwBUEr1KqVW+T9bwBXAU62M2b/vWcUd8XYWttpX\nL/bd+GeGlVI9eM0kWv7c1jLbuJVSPUqpvsjll7C43ps1n+/I36zHm7twY2ujFvOpXfeRsn9sPdlH\ntpbsH1uv7faRuoXdcBbjF94b9AWgiHf27I+Bj+Jl308DnwdvoXt/+3fijed9DPhi5PIv+n/v+t8/\n3Q6xAz143ae2+td9Gb+b2WKOO3I7T/hf89r16yjj3gzcM+M2VuB1gNrqP56v4J0dXNRxR67bAZw0\n38/10cQO9AL/z3+tPAF8rN7tLPa48Ro0POp/PQ78dRs933f6lz1KC7oJytfieE342y+KfeRcxI3s\nH+c79s3IPrIlcTf4vJb9Y+uf8wXbRwbBCSGEEEIIIYToUDLUUwghhBBCCCE6nCR+QgghhBBCCNHh\nJPETQgghhBBCiA4niZ8QQgghhBBCdDhJ/IQQQgghhBCiw0niJ4QQQgghhBAdThI/IYQQQgghhOhw\nkvgJIYQQQgghRIf7//ofyewAjndAAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f4af19c59e8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"adjusted = seasonal.adjust_seasons(data, seasons=seasons)\n", | |
"residual = adjusted - trend\n", | |
"\n", | |
"plt.subplot(1, 2, 1)\n", | |
"plt.plot(data, '-', label='CO2 level', alpha=0.5)\n", | |
"plt.plot(adjusted, '-', label='CO2 level, seasonality adjusted')\n", | |
"plt.plot(data.index, trend, '--', label='Trend')\n", | |
"plt.title('Adjusted seasonality')\n", | |
"plt.ylabel('CO2, ppm')\n", | |
"plt.legend()\n", | |
"\n", | |
"plt.subplot(1, 2, 2)\n", | |
"plt.title('Residual CO2 level')\n", | |
"plt.plot(residual, '-', label='Residual CO2 level');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Residual std = 0.3793427040015374\n" | |
] | |
} | |
], | |
"source": [ | |
"print(f'Residual std = {residual.std()}')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Итак, мы видим, что удалось полностью исключить сезонность из данных. Кроме того мы видим, что стандартное отклонение очищенных (без тренда и сезонности) данных невелико — $0.37\\mathrm{ppm}$. Этой величиной, помимо прочего, будет определяться необходимая точность предсказания ряда.\n", | |
"\n", | |
"Теперь будем расчитывать средний прирост CO2 $T_{mean} = \\sqrt[n]{\\frac{Y_n}{Y_0}}$:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Mean growth = 0.030%\n" | |
] | |
} | |
], | |
"source": [ | |
"mean_growth = (data.values[-1] / data.values[-0]) ** (1 / len(data)) - 1\n", | |
"print(f'Mean growth = {mean_growth:0.3%}')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Убедимся, что наш расчет верен. Для этого построим интерполяцию среднего прироста $x_i = s \\cdot (T_{mean} + 1)^i$, где $s = 315$ — уровень CO2 на 1960 год, $i$ — номер месяца с 1960 года:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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oZpzpZ5RD2f0P/DYdK+RkcQ13zg/qcQbZeE8nMktr+n2vs4k6m6dgTZ8+XXes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\nsKGLIbtyeb5vWGpUEIfLLNPed7CslSVJYUQGT94awh2Zzh56pc09Y34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O8mzr6WjZsSEU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5Oj3cS52i6GLDav9O8TQgghxNwmM35CCLftd+xj+9R16YQH+nLNggh25zeiqqp7A3TVw7Gn4Olb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\n3AtqxaQ0IsfQ/AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f4af19c5d68>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.title('CO2 level growth interpolation')\n", | |
"plt.ylabel('CO2, ppm')\n", | |
"plt.plot(data, '-', label='CO2 level, real')\n", | |
"plt.plot(data.index, [315 * (1 + mean_growth) ** i for i in range(len(data))], '-', label='CO2 level, interpolated by mean growth')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Действительно, средний прирост соответствует ожидаемому.\n", | |
"\n", | |
"Теперь займемся предсказанием.\n", | |
"\n", | |
"Для начала, разделим выборку на обучение и контроль. Так как у нас сильно больше, чем шесть лет, смысла отсекать лишь последний год мало, так что будем делить в соотношении $2/3$ к $1/3$." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Train length = 20 years, Test length = 10 years\n" | |
] | |
} | |
], | |
"source": [ | |
"train = data[data.index < datetime(1980, 1, 1)]\n", | |
"test = data[data.index >= datetime(1980, 1, 1)]\n", | |
"\n", | |
"print(f'Train length = {len(train) // 12} years, Test length = {len(test) // 12} years')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def holt_winters(data, alpha, beta, gamma, n_preds):\n", | |
" seasons, _ = seasonal.fit_seasons(data)\n", | |
" if seasons is None:\n", | |
" seasons = np.array([0])\n", | |
"\n", | |
" level = data[0]\n", | |
"\n", | |
" trend = 0.0\n", | |
" for j in range(len(seasons)):\n", | |
" trend += (data[j + len(seasons)] - data[j]) / len(seasons)\n", | |
" trend /= len(seasons)\n", | |
"\n", | |
" for i in range(len(data) + n_preds):\n", | |
" if i == 0:\n", | |
" yield data[0]\n", | |
" elif i >= len(data):\n", | |
" m = i - len(data) + 1\n", | |
" yield (level + m * trend) + seasons[i % len(seasons)]\n", | |
" else:\n", | |
" val = data[i]\n", | |
" last_level, level = level, alpha * (val - seasons[i % len(seasons)]) + (1 - alpha) * (level + trend)\n", | |
" trend = beta * (level - last_level) + (1 - beta) * trend\n", | |
" seasons[i % len(seasons)] = gamma * (val - level) + (1 - gamma) * seasons[i % len(seasons)]\n", | |
" yield level + trend + seasons[i % len(seasons)]\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Попробуем устроить предсказание, используя $\\alpha = \\beta = \\gamma = 0.5$:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": true | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"RMSE = 420.0569835156115\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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PVuDf3f8rIiIiIiLvkRM1rgIuq0ftx1uaGU/PgIPqtl7mp8T4Pd677gBt4yQq\nby7KiGNPSbP3cc+1Mi8xinlJk2vcPlJYaAgL0mIpcVf2PFHbQc+AI+As5Ww2bRk/6+IJz8Pdf3z9\n54HbgZ+7X/c2kGSMyZ6u+YmIiIiIXMxeO1lPRfPUmqp7c7ymnbjIMPJHBXfLslzLIQPd53ekqo2F\n6bEkxgS+ZHJZZjx1HX209wxecNxay4FzLUFZ5umxJCN+OOO3r8xdhVSBn3+MMaHGmMNAA/BHa+07\n7lN/517O+QNjTKT7WA5QOeLlVe5jIiIiIiIyQkVzD5/5+QG+8euioI99rKaDldkJhIxqtL44w13Z\ns97/fX7WWo5UtbMud3LtFpZlue55qu7CNhJVrb3Ud/QHZZmnx6KMOCpaeugbdHCgvJX5KdFkJUYF\nbfyZNp1LPbHWOoD1xpgk4AVjzGrgm0AdEAE8CvwV8B1/xzTGfBb4LEBmZiaFhYXBnvZFo6ur65J+\n/7ORnsnspOcyO+m5zE56LrOPnsnsNNPP5amT/Tgt7Clt5vEXX2NBYnAajDut5VhVD9fkhnl9f8mR\nhl1FJay4IF8zvpY+J42d/cT0NU7q82rtcwLw0q6D9Faczxi+Ve3KAJqmUgoLy4ePT+W5DDYN4bTw\nt0+/zs7iATZmeP8MLlbTGvh5WGvbjDFvADdZa//ZfbjfGPM48DX336uB+SNelus+NnqsR3EFjGze\nvNlu37592uY92xUWFnIpv//ZSM9kdtJzmZ30XGYnPZfZR89kdprJ59LeM8hfvP4aH1iZyd7SZg50\nJ/Op24NTF7GkoYv+P+zkA1tWsn3z/DHn15zdR3NXP9u3X+3XeL8/Vge8y0eu3TypPX7WWr697484\n4rPYvn3N8PGX/vsIyTH1fOJD112QmZzKc8ms7eDfj+ziFycHyEuJ4f9+dBPLsxImfuFFYjqreqa7\nM30YY6KBG4BTnn17xhgD3AEcc79kB/BJd3XPy4F2a23tdM1PRERERORi9Mz+CnoGHHz5+iV8/PJ8\nXj5ay7lm7y0PAnW8ph0YW9jFY2lGHCUNXTj8rOxZVNVGWIhhZfbkAihjDMuz4jk9YqmntZa9pU1c\nvjB1zHLUqViUHsfWBSl85uoF/P4rV8+poA+md49fNvCGMaYI2I9rj9//AE8ZY44CR4E04G/d1/8O\nOAuUAP8B/MU0zk1ERERE5KLjdFqe2F3OlYtSWTUvkfu3FRAWEsJjb5UFZfwTNR1EhIUM97UbbWlW\nPP1DTirL1HnJAAAgAElEQVRa/CsqU1TVzrKs+IAat4+2PCuB03Xn20hUtPRQ097HlYtSJz2mNxFh\nITz3uSv4m1tWEhPxniyMfE9N2zuy1hYBG7wcv26c6y3wl9M1HxERERGRi925lh7qOvr4XzcsASAj\nIYqrlqSx96z3lgeBKqpqZ1lmPOGh3vNDnszdsep2FqTF+hzLWktRVRu3rJ03pTkty4qne0QbiT2l\nrvd6xaK0KY17qZnWqp4iIiIiIhI8J2tdSx5XZp9firlqXgKljd30DTqmNHZ3/xDvnmtlq4+m5a7s\nXQiHKtomHK+8uYeOviHW5XpfNuqv5e7Knp73vre0mfT4SBal+w485UIK/ERERERELhKnajsIMbAk\n8/xSzBXZCTicluIA2ix4s7ukiQGHk+uWZ4x7TXhoCGtzkjhU2TrheEVVruBw7SRbOXgszXQFfqfr\nOrHWsqe0mSsXpeIqGSL+UuAnIiIiIhJEgw4nB8pbpmXsk3WdLEiLvWDP3Ar38ktPRmyy3jjdQFxk\nGJsnaFq+IS+J49Ud9A/5zjAeqWwnKjyEpZne9wv6KzYyjLyUGE7Vd1La2EVTV3/Q9/ddChT4iYiI\niIgE0Y9eL+HOn+xlT2lT0Mc+VdfB8lEVMvNTYoiJCOXEFAI/ay1vnGrk6iVpRIT5DhHWz09iwOHk\nRI3v+71T1sy63CTCxtkvGIjlWfG8XdrMfY/tJzTEsG2x9vcFSoGfiIiIiEiQtPUMDFfY/M9dwam0\n6dHZN0hlS++Y1gghIYZlWfFTyvidqO2grqOPa30s8/TY4O7Hd7hy/H1+rd0DnKjtCFqAtjonkebu\nAVJiI/jFp7eSmxwTlHEvJXOvTqmIiIiIyAz52a4yOvuHuGVNNr89WktJQ9e4rRECdbquEzhf7GSk\nldkJvHSkBmvtpPa+vXGqAYDty9InvDYrMYrsxCgOVbTxqW3er3mnrBlrYdvi4CzJ/PRVC9i6IIUt\nBSlB7d13KVHGT0REREQkCFq6B3h8dxm3rM3m27evIiIshP8MUn89cO3vA8Ys9QTXPr+OviGq23oD\nHrdnYIjnDlSybn4SGfFRfr1mQ57vAi+7S5qJiQidcmEXj9jIMLYGuWH7pUaBn4iIiIhIEDz9zjm6\nBxx85f1LSIuL5CMbc/j1wSqau/qDMv6p2g4SosKYlzg2ODtf4KUz4HH/8fenqWrt5W9uXuH3a9bP\nT6KypZfGTu/vbU9pE5ctSBm3H6C89/QkRERERESC4H+Katmcn8wSd/uBj2/Np3/IyZvFjUEZ/1Rd\nJ8uzE7wu5VyeFY8xgVf2fOdsM0/sKee+Kwq4zEf/vtF87fOr7+ijtLFblTdnGQV+IiIiIiJTdLax\ni1N1ndy8Jnv42LKseMJDDafqAs/CjeZ0Wk7XdbLCy/4+cC2FLEiNDTjw+9aLx8lLieHrNy0L6HWr\n5iVgDByrbh9zbm9pMwBXLlLlzdlEgZ+IiIiIyBT97mgtAB9ckzV8LDw0hEXpcZwJQuBX2dpDV/+Q\n1/19Hssy4zld7/+9Kpp7OF3fyae2FRATEVjNx5iIMBaME2juKW0iMTp8TPVRmVkK/EREREREpui3\nR+vYmJdEdmL0BceXZcUPV+Ocil3Frp6Am/KTx71mYXosFc09DDqcfo3pWYJ6zdKJK3l6syI7gZN1\nYwO/d8+1sqUgWYVYZhkFfiIiIiIiU1DW1M3J2o4Llnl6LMuKp6a9j/bewSnd448n6slPjWGJj9YQ\nC9PjGHJaqlr9q+y5q7iRnKRoFqbFTmpOK7LjqWzppbPv/Hvr6BuktLGbdUGq5inBo8BPRERERC4Z\nT+wu44VDVUEd07PM02vg5y70UhzAEszRuvqH2FvazA0rMn326FvgDuDONnZNOOaQw8mekmauXpI2\nqb5/cL6S6Mg9jMeqXHv+1s5X4DfbKPATERERkUvC8+9W8dBLJ/ibF47R2j0QtHH3lbWwPCueeUnR\nY84tcxdjmUqBl11nGhlwOLl+ZabP6xaluwK/sqbuCcc8XNlGZ//QpJd5wsgWEueXex5xB37rchMn\nPa5MDwV+IiIiIjLnHa1q569fOMrK7AR6Bhw8sac8KONaazle086qed4DnZykaOIiw6a0z++PJ+tJ\njA5ns4/9fQBJMREkx4RT2jhx4PdmcRMhhim1XMhOjCIxOvzCwK+yjfzUGJJiIiY9rkwPBX4iIiIi\nMud9/fkiUmMj+PmnL+MDKzN5Yk85Xf1DUx63obOfpq4BVs3zXsHSGMPSzLiAqm2ONORw8vqpBq5b\nnkGYH83QF6bHUdY08VLPXcWNrM1NmlKAZoxhRXY8J0Y0jS+qamOt9vfNSgr8RERERGRO6x1wcKqu\ng49umU9aXCR/ce1i2nsHefqdc1Me+3iNa2nj6pzxlzYuy0rgdF0n1tqAx3/tVANtPYPcuCpr4otx\n7fM7O0HGr6NvkCOVbVy9ZOp99lZkJ3C6rgOH09LQ2UdNe5+Wec5SCvxEREREZE4raejC2vOFVtbP\nT2Lb4lR+vjcIgV+1a5njimzvjdUBlmfF0947SH1Hf8DjP/rmWXKTo7l+RYZf1y9Ii6Whs99nNvPd\nc604LVy+cPLLPD1WZCfQN+ikvLmbokr3/j4VdpmVFPiJiIiIyJzmWWa5NOt8cHbd8kyqWntp6Oib\n0tjHatopSI0hPip83GvOF3gZ2/POl3fPtfDuuVYeuGqBX8s8YUSBFx9ZvwPlLYSGGDbkTT1AWzmi\nwEtRVRshhnGXvcrMUuAnIiIiInPamfpOIsJCyE+JGT62fr5rOeLhyrYpjX28poNVPpZ5wvlM45kA\n9/k9+uZZEqPDuWvzfL9fsyDN1efvrI99fvvLWlk9L4GYiLCA5uPN4ow4wkMN33npBP99oIqlmfFB\nGVeCT4GfiIiIiMxpp+s6WZwed0HWbNW8RMJCDEeqJh/4tfcMUtXaO2GGKzk2grS4CEoaJi664lHW\n1M0rJ+r5xOV5xEb6H0jlp8ZgDOPu8+sfcnC4qo0tBSl+j+lLVHgoP/rYRtbNT6Ktd4D3TaE9hEwv\nheMiIiIiMqedqe8cs58tKjyU5dnxHHHvS5sMT2GX8Vo5jLQ4I47iAAK//9p7jlBjuO+KgoDmFBUe\nSk5S9Li9/I5WtTMw5GRzkAI/gBtXZXHjqiwcTktoyOSawcv0U8ZPREREROas9t5Batv7WJo5tvjK\nutwkjlS24XQGXm0TXMs8wb89bUsy4t1FZia+V++Ag1+9W8mNq7PISIgKeF4L0+PGXeq5v7wVgC0F\nvnsCToaCvtlNgZ+IiIiIzFmefXXLsuLGnFs3P4nO/iHOjpMdm8g7Zc3MT4kmLS5ywmuXZMbR2TdE\nQ+fElT1fKqqho2+IP708f1LzWuhu6TDkcI45d6C8hYXpsaT6MWeZWxT4iYiIiMiMK2vq5tYfvhVw\n5cuJnK5zV/T0kvHb4G47MJkCLwMOy1slTVy3zL82C4szXIFncf3Eyz1/8fY5lmTEsXXB5JZjbl2Q\nQs+Ag4MVF74vp9Ny4FwrlwVxmadcPBT4iYiIiMiMe+rtcxytbucrzx6mf8gRtHHP1HcSFxlGTlL0\nmHML0+OIiwzjyCQCv1MtDvoGnVy73L/Ab0mGK/AsbvBd2bOoqo2iqnY+cXk+xkxu6eS2JWmEhRhe\nP9VwwfHSxi7aewfZlB/8ZZ4y+ynwExEREZEZNeRw8uKRGvJTYzhV18m//PFM0MY+XdfJ0sw4r0FU\naIhhTU7ipCp7Hm50EB0e6ncT9LS4CJJiwics8PLysTrCQgwf3pgT8Jw8EqLC2VyQTOHpCwO/I1Wu\nYjTr1WD9kqTAT0RERERm1O7SZho7+/nmB5dz72V5PPrm2Sn31wOw1nKmvnO4gbo3a3MTOVnb4XU/\nnK9xjzQ4uGpJGlHhoX69xhjDkow4SiZY6nmoopWV8xJI8NEQ3h/XLc/gVF0nNW29w8eOVrURGxHK\nwvSx+x1l7lPgJyIiIiIz6tcHq0iMDufa5Rn8zS0rCAsx/P5Y3ZTHPVbdQWvPIGtzx89wLUyPZdBh\nqWnr83vc0/WdNPdZ3u/nMk+PxRnxnGnoHLey55DDSVFV+/Dew6m41r33sPB04/Cxoup2VuUkqvrm\nJUqBn4iIiIjMmK7+If5wvI5b1mYTGRZKXGQYK7MTOFjROuWxnz9YRURoCB9cnTXuNfmpsQCUN/tf\n2dOzd87f/X0eSzLiaOsZpLl7wOv5M/Vd9Aw42JA39T14izPiyE2O5g33cs9Bh5MTNR2szZm456DM\nTQr8RERERGTGFJ5uoG/QyYc3nN/TtiEvmaKqtoCWX442MORkx5Earl+ZQVJMxLjXFbgDv3MBBH6/\nO1pLQUIImQH22FuS6buyp2d564a8qWf8jDFcuyyD3SVN9A06OFPfSf+Qk7Xa33fJUuAnIiIiIjPm\nVG0noSGGdSOWY27MT6Zv0MmpOt8VMH0pPN1AS/cAH9mY6/O6zIRIosJDKG/u8Wvcoqo2jlV3cHVu\nWMBz8lT2LBmnsuehilZSYiPIS4kJeGxvblqdRc+Ag5eP1XLUXdhFGb9LlwI/EREREZkxZ+o7KUiN\nISLs/NfSje6M11SWez5/sIq0uAiuWZru8zpjDAWpsX5n/J56u4KYiFCunBd44JeZEEl8VBin68cJ\n/Crb2DA/adJtHEa7clEqi9JjeXx3OUeq2kmICiM/NThBpVx8FPiJiIiIyIwpaegazoR55CRFkx4f\nycFzkwv8WrsHeP1UA7evzyE8dOKvu/mpMX5l/Np7B9lxpIbb188jOizw4MwYw4rsBI7XjG1S3947\nSElDV1BbLRhjuO/KAoqq2vltUQ1rc4MXVMrFR4GfiIiIiMyI/iEH5c3dLM28sL2AMYaNeUkcmmRL\nhx1Hahh02AmXeXoUpMZS0dyDw+m92qbHCwer6B108LHL8ic1L4BV8xI4Vds55l5Hhvf3Bbe5+p9s\nzCU+MoyOviHW5GqZ56VMgZ+IiIiI+FTa2DW8RyyYzjZ247SwOHNsn72Necmca+6hqas/4HGfP1jF\niuwEVs5L8Ov6/NRYBhxOatt7fV733IEq1uYmTimAWjUvkd5BB2VNFy4tPVTRhjGwdn5wg7O4yDDu\n3OwKgNcp8LukKfATERERkXENOZx8+on93Pf4PvqHHEEdu7jBVd1ydMYPXAVewBUQBTRmfSdFVe18\nZGPOxBe7Fbj3vZ3zsdyzpXuAk7Ud3OSjNYQ/Vma7gtHjNRcG0ocrW1mSETflxu3efO6aRdy1KZdt\ni9OCPrZcPBT4iYiIiMi4fn2wmvLmHlq6B3j1RENQxy6ud1X0XJAWO+bcmpxEwkIMhysD2+f3q4NV\nhIYYbl8fQOCXNnEvv/3lLQBcVpAS0HxGW5IZR0RoCCdG7POz1roLuwR3madHVmIU/3TXOuKnIaiU\ni4cCPxERERHxqn/Iwb+9Vsy63ETmJUbx7P6KoI5fXN9FfmoMkWGhY85FhYeyOCPOayGU8Ticlt8c\nqmb70nTS4yP9fl1WQhQRYSE+M377y1qICAuZ8j658NAQlmZd+L7Km3to6xkMSv8+kfEo8BMRERER\nr57bX0l1Wy9fu3EZd22ez1slTVS1+tfvzh/FDZ0syRi7zNNj5TzvFTDH88apBuo7+rlzk39FXTxC\nQgz5KTGUN/nO+K2fn+Q1SA3UquxETtR2YK2rwMshd9uK9Qr8ZBop8BMRERGRMay1/GxXGVsKkrlq\ncRp3uQuE/PJAVVDGd1X07GGpl8IuHqvmJdLY2U9DZ59fYz6+p4yshCiuX5kZ8HzyU2PHzfh19w9x\nrKaDLQXBWYq5cl4CLd0D1HW43tehijZiI0LHtLUQCSYFfiIiIiIyxqHKNipaerh7Sx7GGHKTY7h6\nSTq/PFA5nKmaivImV/uExT4yfqvmeQqhTJz1O13Xye6SZj55Zb5fvftGK0iN4VxLN04vLR0OVbTh\ncFq2THF/n8fw+6p2va/DlW2sm59EaIh67Mn0UeAnIiIiImO8eKiayLAQblx1Pnt206osatr7/Gp2\nPpEz9Z0APrNcnnYMJ/wI/B7fXUZUeAj3bsmb1Hzy02LpG3TS0Dm2fcS+8hZCDGzKD07Gb0V2Asa4\nAtreAQcnazu0v0+mnQI/EREREbnAoMPJ/xTVcv2KzAsqQXoCn3fPBVZp05uDFa2EhhgWpo+t6OmR\nEBVOXkrMmNYHo7V0D/DCoWo+vCGX5NiISc3H09JhdH89cBV2WZGdELSqmLGRYSxIi+XlY7XsPdvE\nkNNOW0VPEQ8FfiIiIiIXqfbeQb763GG/MmKBeKukiebuAW5fP++C40sy4oiPCpty4NfeM8h/76/k\n5jXZRIX7Lpayyo8CL6+eqKd/yMmfXp4/6TkVpLoC0HOjWjo4nJbDlW1BW+bp8Y2bllPS0MVfPHUQ\nUGEXmX4K/EREREQuQtZa/vqFo/z6UDX/8PtTQR37xUPVJEaHs31ZxgXHQ0IMG/OSOTjFwO/ne8vp\nHnDwF9sXTXjt6pxEzjX30NE3OO41Z+o7iQwLYVnW5IujzEuKJjzUjFnGWtbURe+ggzU5U2vjMNoH\nVmXx449vxOG05KXEkBbnf/sJkclQ4CciIiJyEfrlu1X8tqiWpZlx7DzTyKm64GT9Bh1OXj3ZwE2r\nsogIG/tVcVN+MmcaOmnvHT8Q86VnYIjHdpdx3fIMVmQnTHi9Z5/fSR9Zv5LGLhamx02pOEpoiGF+\nSsyYjN+J2s4L5hFMH1iVxa8+fyX/ds/6oI8tMpoCPxEREZGLTENnHw/tOM4VC1N59rNXEB0eyn+8\nWRaUsY9Wt9PVP8Q1S9O9nt+Un4y1rkqUk/Hrg9W09gz6le0D/yp7ljR0+awO6q+C1NgxGb8TNR1E\nhIawKH3q43uzbn4SG/K0v0+mnwI/ERERkYvMG6ca6Blw8K1bV5ISG8HdW+az40g1de3+9bvzZW9p\nMwCXL/S+p23d/CRCzOQLvBSebiA/NYbNfu6Zy4iPIj0+khO13gO/3gEH1W29LA5CYJaf6sr4jWxX\ncaK2g8UZcV6znyIXE/0Gi4iIiFxk3ixuIjMhkuXuPW2fvmoBDqflmX0VUx777bPNLMuMJ3WcPWdx\nkWEsz0qY1D6/QYeTt8+2sG1xWkCvK0iNobLFewuJ0sYurCVoGb+eAQeNXedbOpyo6ZiWZZ4i7zUF\nfiIiIiIXEYfTsrukiauXpGOMa0/b/JQYlmTEc7Tad9uDiQwMOTlQ3soVi1J9XrcpP5lDFa04vDQ7\n96Woqo2u/iGuCjDwm5cUTXVbr9dzpY1dACzJDE7GD+Cce7lnQ2cfTV39rPRjL6LIbKfAT0REROQi\ncrymnbaeQa5ecmHwtDQrfrgp+mQVVbXRO+gYd5mnx5qcRLoHHFS3eg/GxrO7pBlj4IqFvgPL0XKS\noqlr7/MaaJY0dBEaYobbMUzFgjTXGJ5efp42Gcr4yVygwE9ERETkIrKruAlgzHLJpRlxVLX20t0/\nNOmx3z7rCsy2LvAdmOV5MmMtY5ud+/JWSROr5iUE3GQ9JzmaIaeloXPsHsbi+i7yU2KCsgcvJyma\nsBAzXNnzpLuipz/VR0VmOwV+IiIiIheRXcWNrMxOGNP3bUmma79fcUPXpMfee7aZ5VkTB2ajl0T6\no7t/iEMVrQHv7wNXQAZ4zTCWNHaxKAj7+wDCQkPITY4erux5oraD3ORoEqPDgzK+yExS4CciIiIy\nDWraevnNoeoLKkROVXf/EO+ea+XqpWODp6XuPW6TXe7Z3jPIvrIWrlo88TLMzPgoIsJCqBin4Io3\n+8pbGHTYgPf3AeQmuwO/Ufv8Bh1Oypu6g1LYxSM/NXY443eipl37+2TOUOAnIiIiMg3+72+O8ZXn\nDvN/fnMMZ4BFUMbz9tlmBh2Wa5aM7bGXnxpLRFgIxZMM/F4+Vsugw3LbupwJrw0JMeR5aXbuy1vF\nTUSEhbDFzzYOI81zZ/yqRmX8zjX3MOS0QWnl4FGQGsO5ph6au/opa+rW/j6ZMxT4iYiIiARZeVM3\nr59uYElGHE+9U8HXfnkkKJm/1041EBsRyuaCsQ2/Q0MMi9PjOFM/uaWeO47UsCAtltU5/gU6+Skx\nfi/1dDotLx+tZduiVKLCQwOeW0xEGCmxEWMyfiXuZa3Bzvh19g/xkX/fQ1hoCO9fnhm0sUVmkgI/\nERERkSB7cm85YSGGpx7Yyp9vX8SvD1VzvMZ7A3J/WWt57WQ9Vy9JJzLMe/C0NDNuUhm/+o4+9p5t\n5rZ184ZbREwkLzWGipYevwLagxWt1LT3cdv6eQHPzWNeUtSYPX4najswhqDt8YPzlT2bugZ48lOX\nsSY3MWhji8wkBX4iIiIiQdTVP8QvD1Rxy5psMhKiuHNTLuAKUqbiWHUH9R39XL9y/AzUksx4atr7\n6OwbDGjsl47UYC0BBWb5KTH0DDho6hqY8NodR2qIDAvhhpVZAc1rpBwvvfz2ljaxJieRuMiwSY87\n2sb8ZD60NptnP3v5hP0MRS4mCvxEREREguhXByrp6h/iz7YtAKAgNZao8BBOTjHwe/VkPcbAtcvG\n7u/zWOqu7Bnocs8dR2pYnZPAogD2yuW7++ZVTNDSYcjh5HdHa3n/iowpBWg5STFUt/YOZxhdVULb\nuHJR4MVifEmMDudHH9vI6hxl+mRuUeAnIiIiEiROp+XJvedYPz+J9fOTANfeu2VZCUEJ/DblJZM6\nqo3DSMs8LR0CWO5Z09ZLUVU7H1ob2DLMPD9bOuw920xT1wC3rZv8Mk9w9fLrHXTQ1uPKZu4rb2HI\nadnmRxVSEZnGwM8YE2WM2WeMOWKMOW6M+fao8w8bY7pG/D3SGPOcMabEGPOOMaZguuYmIiIiMh12\nnmmkrKmbT20ruOD4yux4TtZ2TrrAS217L8drOnj/Ct+FRnKTo4kODw0o4/eWuyH8dh+ZxPHuZczE\ngd9LR2qIiwxj+7KMgMYfbbiXn3u55+7iJiJCQ9icH3iVUJFL0XRm/PqB66y164D1wE3GmMsBjDGb\ngdHlqD4NtFprFwM/AP5hGucmIiIiEnSP7yknIz6SD67OvuD4iuwE2nsHqW3vm9S4u864grPrlvsO\nnkJCDIsyYilt9D/w21XSRHp85HC20F+RYaHMS4z22cvPWkvh6Ua2L0ufVDXPkTy9/DwtHXaXNrMp\nP5noiKmNK3KpmLbAz7p4/l8n3P3HGmNCgX8Cvj7qJbcDT7p//hXwfuNvWSkRERGRGVbS0MWbZxr5\n08vziQi78CvWCncT8FN1k1vu+XZZMymxEcNN2n1ZkBZHWZN//fWcTsvukiauWpzmdzXPkSbq5VfR\n0kNDZz+XL5z6csyRGb/mrn5O1nZomadIAIJXAskLd5D3LrAYeMRa+44x5svADmtt7aj/g8kBKgGs\ntUPGmHYgFWgaNeZngc8CZGZmUlhYOJ1vYVbr6uq6pN//bKRnMjvpucxOei6zk57L5P3XiX7CDOQP\nVVFYWH3BuZ5B1xLP3+4+QkhdREDjdnV1sfNEDwsSQ9i5c+eE14d0DVDZMsgfX3+D8BDfwdy5Dgct\n3QOkDTVO6rmHD/RzvGFo3NfuqnLtxzONpRQWlgU8/kjWWiJC4Z2jZ2iuLAUgqqNizGf9XtG/ldlJ\nz2V80xr4WWsdwHpjTBLwgjHmGuAuYPsUxnwUeBRg8+bNdvv2SQ910SssLORSfv+zkZ7J7KTnMjvp\nucxOl8xzqToA8dmQmBO0Ib9zoJBrV6Ry242bvZ7PPfg6fdFJbN++MaBxf/Xy6zT39fKFG5ax3V0p\n1Je2xGpeLD3MgtWbWZzhe/nmT3aWAqd44NaryUyICmheACco4c3fn2bzFVd5rdj5218eITmmnntv\nuZaQCYJQf+Qd2snpLidFrU4SosL4s1uvJSx0ZmoVXjL/Vi4yei7je0/+pVhr24A3gGtxZf9KjDHl\nQIwxpsR9WTUwH8AYEwYkAs3vxfxERETkEtJcCv95A/zbOnjpK9DVMOUh+wYdlDd3syJr/EBrRfbk\nKnuebnEAsHWBf8saPQ3IzzZOvNzzreImlmbGTSroA8hPcd1rvOWe+8tb2FyQEpSgD2BhWiznmnvI\nT43hPz65ecaCPpGL0XRW9Ux3Z/owxkQDNwDvWmuzrLUF1toCoMddzAVgB3Cf++c7gdftZEtfiYiI\niIxn979BSDisvxcO/QJe/qspD1nW1I3TwmIfBVJWZCdQ3tRN74AjoLFPtThJjA5nuY+gcqQCT+A3\nwT6/vkEH+8pbuGpxYNU8R1qY7rpXqZcgs6Gjj/LmHi4rCF7Vzb/78Bpe/eo1PPe5K9gahH2DIpeS\n6VzqmQ086d7nFwL8t7X2f3xc/5/Af7kzgC3APdM4NxEREbkUddbBkWeoXXgnQ1f9A/P7O6H63SkP\ne8bdN89X8ZWV2fE4LZyu7xzu8eeP060OthRk+J01S4wOJy0ugrIJMn4Hz7UyMOTkqiWTD6AWpMUS\nYqDES9/AfeUtAFy2IHiBX3p8JOnx4/cxFJHxTVvgZ60tAjZMcE3ciJ/7cO3/ExEREZkeb/8Y6xzi\n7mNbqDu5k/9cmM3Vbeegtw2i/Q/GRiuu7yI0xAwvs/RmiTsbWNrQ5XfgV9feR0OP5fKFgQVPC9Ji\nJ6zsub+8FWNg0xT64EWFh5KfGktxw9j2EfvLWoiJCGXVvIRJjy8iwaOF0SIiInJpGOiGA49zIPZ9\ntEbmcOOqLH5W4l4+WX9sSkMXN3SSnxpDZNj4PeXyUmIICzEB9dh7p8xV7sDf/X0eC9JiJ1zqub+8\nheVZCSRGhwc09mhLMuK8Bn77ylvZmJesfXgis4T+JYqIiMiloWwX9Hfwry2Xc/+2Bfzw3g2kLtrk\nOldbNKWhi+u7WDpBBc3w0BDyUmP8Krri8VZxE7HhsDLArNmCtDiauvrp6Bv0en7I4eRgRStbCpID\nGtebJZlxlDd1MzDkHD7W1T/E6boONuVPfXwRCQ4FfiIiInJpKH2NfhPFyYjV3H+Vqy3C/LwFNNpE\nhmq136wAACAASURBVGomH/h5Knr601x9UXqc3xk/ay07zzSyKjWU0ACrYnqWnJaPk/U7UdtBz4CD\nzUEovLIkI54hp72gsmdRVRtOCxvyJr98VkSCS4GfiIiIXBIGz7zK7qHlfOLKJcPLG1fOS+C4s4DB\n6iOTHtefip4ei9LjKG/uZsjhnPDaU3WdNHT2syZt/OWj4/FU2xxvn9/+8laAoGT8Fme4At4z9ecD\n2sOVbQABFbERkemlwE9ERETmvtZywtvOssu5hrs2zx8+vDI7gRM2n8jWMzDUP6mh/ano6bEoPZZB\nh6WytXfCa3eeaQRg9SQCv7yUGIwZv5ff/rIWcpOjyU6MDnjs0Ralx2GMa5+jx6GKNhamxZIUEzHl\n8UUkOBT4iYiIyOxhravCZrCVvAZAffo25qfEDB/OTY7mbNhCQuwQNJ6a1ND+VPT0WOTOjpV6KYYy\n2s7TjSzPiic5KvCva1HhoeQkRXvN+FlrOXCuJWj99aIjQpmfHDNc4MVay6GKNtZrmafIrKLAT0RE\nRGYHpwNe/Ev4x4XwxnfB4b0wyWT0nHyFKpvGuvVbLjhujGEofbXrL3VHJzX26fqJK3p6LEpzB34T\n7PPr6h/iwLkW3rds8s3VF6TFer1PWVM3TV0DQdnf57E0M44S91LPqtZemrr62ZCnwi4is4kCPxER\nEZl5nqDv8FMwbwPs/B48diP0j20MHjDHIGHndvGmYw03r5035nRy7nJ6bCTO2sD3+f3heB2vnqzn\nykUj2i04ndBcCn3trgzmCIkxrubqE1X23FvazKDD8r6lkw/8lmbGU9LQhcN54RwOVbgyqsGsuLk4\nI56zTV0MOZzD+/s2aH+fyKyiwE9ERERm3js/gSPPwPa/xj7wKtz+CFS/C2f+MPWxqw8S4ejmXNIV\nFyzz9FiRk8RJm0d/ZWCB3+HKNr787CHW5ibxNzevdB20Fp69F364Eb6XBz/aPGbv4EI/KnvuPNNA\nTEQom6fQXH1ZZjz9Q84Lqm0CHK1uJzo8dLgoSzAsyYhj0GEpb+7hUEUbUeEhLMuauNiNiLx3FPiJ\niIjIzCt+BWfGSr7Z8kGW/9/f8+dHl+AIjYKqA1Meuq1kLwDz1rzP6/mV2Qn/j737jo/zqhI+/rsz\n0ox6l0a9d8m9xolLGolJSOhh6RDKwi6wLH1f9l1g2cICgaXDuwmwlIUshBRCeuISx73bsWz13nvX\nlPv+8Ui2ymg0TY7L+X4++sh+njtnriSXOXPvPYfzrizMvVULVugWo7Xm478+SnK0lQfft55wy/Q2\nz6M/hwtPw+aPw5ZPQG8NnHtizmOXaukw08ZhS0ESlhD/X6rNJF4zxWdmnG4dpCI9xucWEZ4UTRe2\n+cnuWvbV9LAyI45QadwuxBVlyb+RSqk4pdQnlVIPKKW+N/NxOSYnhBBCiOuA045uPsRzo4X8z6Fm\nthcnc6hxiCP2XEbr9gccfqD2MJ06ji2rK9zeL7JFUUMWlqlBGOnyKmZN1whtgxN84uYikqKsxsW+\nenjmy5C/A173L3Db1yA+F448NOexBcmR9I/Z6Rudchu7oXeM5r5xthcnefkVuldkM6ptVnVcSvwc\nThdn2wZZkRkbUOz5ytNiuGdVOn863sr5zmHp3yfEFSjEizF/AQ4Ap4Glm84IIYQQQvii/STKPsYT\nY3l8575VvGlNJv2jU/z+34pY3/O0sVUyxOp3+PCe01SpArYmu9/aaA0xMxpbBKNA16sQbVsy5qGG\nPgA25E1vxdQaHv8EmMzGNlXT9Hvr6z4Az/8TdJ2DlDJgVmXP7hESIhdu5dx93kg+txen+PJlLhBh\nCSE7IWLOil9t9ygTdhcrg5z4hZhNfO+v1vDlu8t4qaqLW0qX/h4KIS4vb9bgw7TWf6+1/rnW+pcz\nH8s+MyGEEEJcHxr3AaCzb+BNazIBiI+00BZVgVnbof2U/7EnR0iebGIgrgKTh62N1ozp1UAvWzoc\nru8jKcpKbuL0mcFXH4WGvXDbP0Fs5qWBa94NZsucVb/C6QS0ZpGWDrsvdJOXFEl24sLziL4qsUXP\nWfE71WIUXlmREdzEb0ZKdBj3bcgmOdr/RF0IsTy8Sfx+pZT6sFIqTSmVMPOx7DMTQgghxHVhsnYv\nta40VpQWz7luyjJaL+iWQ37HHmo4hgmNOXONx3HZmTn06mjGW894FfdwQz8b8+JRSsHUGDz7j2Bb\nYazwzRaZBOX3wsnfGeOAjLhwIixmzncsrFg6YXeyv643oGqes5WkRtPQM8qE3QkY5/siLWbykoJX\n2EUIcXXwJvGbAr4J7AeOTn8EftJaCCGEEFeXp/8BXvlBcGO6XKjmgxxylbK1aO6ZtoKCIlp0EuN1\nB/0O335uurBL6Q0ex5VnxFKtM5lqP7tkzNaBcVoHxrkhMwxqX4I//x0MNsPObxhbPeerfAtMDsF0\nuwiTSVGSGk1Vx9CCoYcb+piwu4Ka+Ln0pdXF062DVGTEBrWwixDi6uBN4vcZoFBrnau1zpv+yF/u\niQkhhBDiCtJXDwd+CM/9X+jwblXMK12vYrEPcc5SSVlqzJxba7LiOOEqhNbDfoe3txyjU8dRXlLs\ncZxR2TOTsP7qJSt7Hq7vw8oU9x25D371Rjj1e1h/P+Te6P4BtukG8V2XksrSVGMLpp73XLvPd2MJ\nMbEpPzibq0qnK3ue7xjG7nTxatsQK5dpm6cQ4srmTeJXA4wt90SEEEIIcQU79t+gTBAWY6xwuYJT\n783VYJzvM+fduOAMXmlqNKdVERFjbTDc4Vf8uP5XabQWExbqZiVu9rgIC11h+VidIzDU6nHsoYY+\n3mI9jGW4Ge7+LnyhAe5+YPEHxGaCNcYo8DKtNDWGgTE7XcNze/ztvtDNprwEIize1N9bWk5iJBaz\niQudw1R3jjDpcAW9oqcQ4urgTeI3CpxQSv1U2jkIIYQQ1yGnHY7/Gl10B/qOf4WWw3DsF0EJPXxh\nD606kYryFQvuhZhNjCZPn81rPepz7KmxIdIdzYwnrfRqvCu51PjFrATNncP1fXzI+jwkFcO690N4\nvOfAShkVPTtfvXhpZiXuXPul7Z6tA+NUd40EbZsnQKjZREFKFMebBnjw5Xpg+Qq7CCGubN4kfo8C\n/wK8wqUzfr7/6yuEEEKIq9P5p2C0i3/t2swnzpagszbDK98PSmhT21GOu4oWnO+bEZ+7CgBHp3fV\nNmc7s+9JTEoTmbfRq/HRWUbyafdwzm9gbIrI7hPkT52HjR8xkjpvpJQbWz2nt3aWTm9rnV3gZc+F\nboCgJn4AJbYoDjX08cjxFt69OZu8pMigxhdCXB2W3Eegtf6lUsoClAIaOK+1dt9xVAghhBDXnqO/\nYCIilQc7CnB1dPDxtTdQ3vwdGO9ferXLk5FuoifaaY24k7tjwtwOqcjLpOtIHKaWc/jSznzK4WL8\nwEP0qThWbX+jV4/Jz86i82Acoc2nWeyE3YnmAd4b8iyO0ChCVr3D+wnZKuDoz2G4HWLSiY0IJS02\nbE6rhd3nu0mLDaMwJbgVN9++IQuTUnxoaz7l6TFLP0AIcU1acsVPKfV6oBb4HvADoEYptXO5JyaE\nEEKIK4B9HOp384J5G4nR4azKiuP7VdOJSduJgEK7WqY3EGWuW3TMysxY6nQaru5qn2L/afchNjsO\nM1R6H6EW73rKVaTHcMGVifaw1bOqoYW7TAdwrXgHWKO9n9B08/bZ2z1LUqMvbvW0O13sq+lhe3Gy\n0SLCG8OdxtlHp8PjsC0FSTxw32pJ+oS4znmz1fMB4Gat9Q6t9XbgZuA7yzstIYQQQlwROs+Cy8Hj\nvRm8d3MO33zrSg5PZhv32o4HFHqg5gBOrUgqXHwrZlpsGE0qnajheu/jjk3Ru/dBzEqTc/vHvH5c\nZnw4TaZMoobrFq3sOVZ3EKtyYKl8g9dxAWOrJ8yr7BlDbfcIdqeL400DDE86vN/mef4peKAUvl0C\n/2KDqid9m48Q4rrjTeI3rLWumfX7OmBhx1EhhBBCXHumk7sqUwHv3JRNsS2a29eV0qxt6AATv8nG\nw1zQmawqSF90jFKK4ag8IpyDMNbnVdwnTjRzr36BkYytqIQ8r+ejlGIqNheraxzGehfc11oT1m30\n4iNttddxAYhIgOi0OYVjytKisTs1dd2j7L7Qhdmk2FLoxYbW0V54/JOQXAZ3fRui04N25lIIce3y\nJvE7opT6i1Lq/Uqp9wFPAIeVUm9WSr15mecnhBBCiNeQq/U4vTqGDStXkBhlbJnckJvASVce9pYA\nEj+tie07xaumIvKTPJ9pcyUUGr/o8W675+DZ58hQvURu+ZDP07IkGYmi7lu4wtg2OEGh/QKDkbkQ\nHudzbKOy56UVv5Lpyp4/2lXDw0daWJsdR2x4qOcYWsOTnzbOV775Z7DhQ7Dxw9C0f842UiGEmM+b\nxC8M6AS2AzuAbiAceANw97LNTAghhBCvuanmo5xy5bF11hbENdnxnHLlGX3sRheujHmlv54I5xCD\n8SsW9O+bLyKtBIDxjqUre2qtiWl/BYcKRRXf6fO0wlMKABjpqFlw72TzAKtMtThT1/gcFzC2e3af\nv3gmLz8pCkuIicdOtGGLsfLFnWVLxzj3BLz6GNz8JUidbgy/+l1gtsKRh/yblxDiuuBNVc8PXI6J\nCCGEEOIKMzWGpe8Cp/S9vCnrUvXO3MQI6i3FRq3v9uNQeJvPoScaDhMGWLI3LDnWll3C1EEzQ82v\nEr5EZ4aG3jHKHefoTygnOdR9pVBPEjKLABhqr2F+6Zba2gu8Xg3gKPCuPcQCtgpwTkJfHSQXYwkx\n8asPbiQs1MzKzNili7o4JuHZLxsJ5JZPXboemQgVb4STv4PbvgLW4FYFFUJcG7yp6pmvlHpCKdWt\nlOpSSj2mlMq/HJMTQgghxGuo4zQmXDRYislKCL94WSmFJWt61cvPc379VXsZ1xayStcuObYgNY4m\nbcPRdWHJsUdq2lih6gjJ3eLXvLJsSXTpOOw9dQvuTTYeASAka71fsZlpEN99aeVyU34iq7LivKvk\neehnMNAIr/s6mOe9d7/+fpgahjN/8G9uQohrnjdbPX8LPAykAenA/wL/s5yTEkIIIcQVYDqpM2Ws\nWZCYlOZkUutKw958zPe44/0k1j7CC661rM5JWXJ4Vnw4DaRjHVyYjM3XUbUfq3IQV3KT7/NiurKn\nTsE80DjnutOliek7hRMzpK7wKzZJxcbnnvM+PSxitAVO/BZ2fxMKb4fCWxcOytoIMZlQv8e/uQkh\nrnneJH4RWutfaa0d0x+/xjj3J4QQQogrgdYw2Br0sFPNR+nSceTnFy24tyY7ntM6D2er7yt+o3t+\niMU5yrNJ7yE2YoliJkCI2URfeA5xEy1L9qwLaTkEgMre7PO8AKwhZnpC0ogca5lzvbZ7hDJXDUMx\nxRAavsijlwoeZSRn3UuvXF60/4dsPPw38OjHIMQCd/yL+3FKGWf+pMCLEGIR3iR+TymlvqiUylVK\n5SilPg/8RSmVoJRKWO4JCiGEEMIDlxP+8ln4TjlceCaooe0txzjlymNN1sIKlquyYqnT6YSNtYN9\nwuuYrvFB9MGf8LxrPX9z371eP24qLp8QHDDYtOiY1oFxiibPMBCRC5FetEVYxFhkJrGObnBMXbx2\nsqmPlaY6TJlLb031KLlkzlZPzxPpg13/Tl/8avj4QfjMeePxi0kpg97qOfMWQogZ3iR+bwc+CrwE\n7AI+BrwDOAocWbaZCSGEEMIzpx3++CE4/F8QEgYvfzd4sSdHiBis5YzOY6WbxC86LBRHdJbxm8Fm\nr8Me+cO3iHINM3XjZy62M/BGqM1IeKY6F18tO1zXwzpTNTprk9dx3XHG5WLGNefraqk9Q6waIzo/\nsNgklxhtKVyupcfu/TZMjVBTeD+klILJ7Hl8SgW4HEbyJ4QQ8yyZ+Gmt8zx8SJEXIYQQ4rVy+n/h\n7CM0rP4c/2V9NzS9Aq1HgxO77TgKTW/sCqKs7ouAR6UarQ/ob3R7fz6tNba6P3LWuoqdr9vp03Ti\nssoB6Gs8u+iYmlePEa9GiC3273zfDGuy0ctvtLP24jXVbGwhNWUHmPglFYNjfOlkeaDJKOay6p2M\nRWZ7F9tmfI9ku6cQwh1vVvyEEEIIcSWqfZGp8GTuPLqW7/ZuZkxFoPf/MCihXS3Gph5LzuIVLKPT\njMbq4121i46Zrb6pkRzdylTOzd5VsZwlJyuLfh21aC8/rTWT9fsBMOX4V9FzRky6UYRloNVYXZyw\nO8kYPsF4SMylAi3+mtmq2bPEOb9Xvg8oo1+ftxKLwBQCXZL4CSEWksRPCCGEuBppjaN2N8+MFpOd\nEMkHb13Fr+03o88+CgPeb71czFj9QRpcNkry8hYdk5yWw6QOZbjDy8Tv6AsApK+82ef55CVFUqfT\nCOlz/1zn2oepnDrJuDUREgt8jj9baobxdc0ktOfah1hHFUPJ68EU4EsnNy0d3Kp5AQpuhthM72OH\nWIzkL5iJn2MS+uphaix4MYUQrwlJ/IQQQoirUXcVIWNd7HNV8Ov7N/GJWwp5KfaNmLQT5+k/Bhze\n3HaUE7qANdkLz/fNyE2OokUn4eht8Cqmo+EVpgjFVnqDz/OxhpjpsmQRPer+uXaf7+Qm02nIv8Wo\ncBmA7MQomnUy9BvPdb6mlnxTB+GFNwYUF4CIBIhIgm4PLR0GW6GvFvK2+R7fVh68rZ5TY/DTbfC9\n1fCvafDb+4ITVwjxmvA58VNKpSmlrMsxGSGEEOKaM9QOQ23Bj1u3G4DhtBtJiQkj1GziQ3dvp8mV\nTPur+wKLPdhK+EQX50zFFCRHLTosOyGCFp2MeWjxSpszJh1O0gaP0xZZDiH+vYwYj84jztkLE0ML\n7jWdeYVENUx42ev8ij1bhCWETnMqYSPGyulErfH9jC72IxFzJ7nE81bPhr3G59ytvsdOKTMqn7r5\nHvnsha8ZK5O3/hOseDtceBo6Fz9jKYS4svmz4vcroEop9a1gT0YIIYS4prhc8N/3wk+2Bj35m6x+\nkUZXChUVlRev3VKawjlTEZE9JwML3mqc75u0rcFkWnz1LMISQk9oKlHjS/cQPFHTRjn1uLJ8X+2b\noZKNfoKO7rlVK4cn7CR1vmz8Jt/3baTuDIVnkjDZCloT1XWYSWVFpa0OSmySio0VP63d36/fC+Hx\nYKt0f9+TlArjs7ctIxZTvwcO/hg2fgS2/j3s/AaYrXD4wcDiCiFeMz4nflrr24B84OfBn44QQghx\nDal9AXrOo8d64Q8fXLL5uNecDkyN+9jnqmB7cfLFy0opBhJWEm/vhOFOv8Pbmw4zqUOIz1+35Njx\nyCwinUNLrjA1nNpFiHKRumKH3/OKTC8DoGdeZc99Nb3cZDrFaEIFRCW7e6jPJmILiNBjjJ74I0WT\nZ+mOqTTO0AVDcilMDMBIl/v79Xsg9yb/zhNerOwZwMqcfQIe+xtIKIDbvmpci0iAyjfDqd/D5LD/\nsYUQrxm/zvhpg6z1CyGEEB649v+ILhL4kuuvoWk/vPT14ARuP0GoY4Qz1jWUp8XMuRWabVThHK47\n6Hf48fqDnNM5rMy1LTlWx023Ghjw3NLB2bAfF4qIAv8rbqblleHUipHWc3OuH6pqYK2qJqz0dr9j\nz9dV+DaOuIoxP/bXVKgGXFmbgxab5OnKoD1uzvn1NxhbNXP93FYamw2WqMAKvBz4kdFO4g3fBUvE\npevr74epEaONiBDiqrNo4qeUWqGUOqCUalZK/UwpFT/r3qHLMz0hhBDiKtV1DlPdi/zCfhtPsINn\nTVvRB34MLmfAoV21LwFgKdy+oC1CdsUWHNpEd9UrfsVWLjvh3ac47ipktZvG7fNZk42Wvp5aOoxN\nOcgZOUFPRCGExfo1L4D81ERadDKunrlbPXXdbkKVE3PRbX7Hnu9tm4s4ueUHjIUmEqJc2Cp3BC32\nxcqeXW62Y9bvMT77U9gFjFXC5BL/t3qOdMHeB6DkroVzyFwPqSvgyEP+xRZCvKY8rfj9GPgKsAK4\nALyslJqpjxy6zPMSQgghrmr6wE+YxMKB+Hv4zYc386K9AuWYuFgpMhBjZ57kpCufdeULe8pV5qZy\ngSyUn43ck7v3E+qaoCpqM/GRS29tjEs3zt0NttUsOuZsSz+rVQ2T6Rv9mtOMSGsIrSGZRAzVX7w2\nMukgf/gwU6ZwyAqwufosCZEW7r9zEwkfeQI2fBhrQZAKuwBEp0FYHHS52TzV8DJEplzq9+ePpBLo\nXqJP4HzjA1D9PDz+CaPB/O1fWzhGKah8C3SchvF+/+cnhHhNeEr8orXWT2utB7TW3wL+FnhaKbUZ\nWOQ0shBCCHGV0Bpajgbv3N1sLheOs4/xpHMjb9+2itVZcZSuNJKSqbbTgcUe6Say+wQvutZyU2HS\ngtthoWaaw8tJHn7VKC7jo/S2p2nBhiNvh3fjU9MY0uFMdNctOqbpwkki1SSxhYFvlxyKzCVpsvni\n13ayeYCN6hwjtg3BO4M3W3Ix3PUtCA0LXkyljMIt7s7hNR+CrI2BtaRILoaRDpgY9G78ULvRsuE3\nb4ELz8C2z0NSofuxthXG565z7u8LIa5YHs/4KaUu7sfQWr8EvAWjqmfOMs9LCCGEWF6n/wD/dQuc\n+E3wY/dWEzrZz+mQFbxxTQYAtoKVuLSivyHAipvVz6LQtNm2L7oiZ7etJkqPMDWv+uWSus4RN3iW\nX9lvYWvx0uf7AHKSImnRKdC/+Bm/iUajSmhM/gbf5uOGM76AMCZxDRqVRM/V1lNiaiGiKIgrcpeD\nrcJInmYn52N90F9vbKkMxMUm8V6u+u3+d5gcgXc+DF9sgh1fWHxsilFgR9o6CHH18ZT4fQMom31B\na30KuBV4ZDknJYQQQiyr4U546nMA6FcfC3p4R71xvi6hbDthoWYACjNsNOkU7O2BvWAeP/sk7TqB\nwhWLF0mJLTJaJrSdfdmn2JMHHmRKh3Au9R7uWZXu1WOiw0LpNNsIH21ZdEx4zykmVZjRxiBAYWlG\nUjNT2XO8xuixF1boR8+715KtwiiUMrsoTusx43PG0tVUPZr5Pntzzq+nGo79CtZ/EIrvgLAYz+Nj\n0o1zmoEUjxFCvCYWTfy01r/VWh8AUEpFKaWipq83aa0/fLkmKIQQQgSV1vDk3+OcHOUZ53p03W7j\nfFMQDVzYS4+Ooahs1cVruUmRVJNFWJ+bSo7eckwSUv8SLzrXcGt56qLDSlasZ1KHMtRw3PvYU6Po\nE7/lL65NfP7NN3rs3zffSHgGsVPtbvvSDU3YyZ6spje6FExm7+eziMQco0/dQPOraK2J7z6EXVkg\nfU3AsS+rmR59s1fOWo8CCgLtFxifa/Tcc1c1dL4X/xlCw2Hb57yLrZTRK1C2egpx1Vlqq+fHlFJN\nQCPQpJRqVEp9/PJMTQghhFgGzQeh6s/8iLfzU8fdmLQDqp8N6lOEthzkiKuEDXmJl66ZTXSFFxA/\n0QSOSf8CN+4j1DnGmagtFCRHLjosJTaSVmXDPNDgdejO0y8R5hqlLvFmKjN8q7w5FZNDmJ6EoYWN\n3M809RrtEILU/DwnO58RHYa9o4qG3jFWul6lL34VhFiDEv+ySSkF1MLEL7lk6VW3pZjMkFi49FbP\n7gvw6mNww9/61v8wpQw6X128Ab0Q4orkqZ3Dl4E3ADu01ola6wTgZmDn9D0hhBBiebQcgQM/Xp4X\nlg3G9sdfTGwno3IrnTqOsVOPBi/+cAexEy3UR6wgMWpuMjKVUIIZF/T4WHFx5vFn/8y4thBbfsuC\nNg7z9VnSiRpr9jp2+7l9uLQit6Bs6cHzOG3GyuZk05EF91qqTxCupogrCKyi54z4KCvHTJXktj3B\n0eNHqFANmPNuDErsy8oSCQn50HnG+L3WRuIX6DbPGcklS6/41b5gfF7zbt9i28phctBtou+3wRYY\n7ZVkUohl5GnF7z3Am7XWF8t0Tf/67cB7l3tiQgghrmPPfwWe/iKc/J+ghx688DLVrgzec8tqPr+z\nnOec6witewHs40GJ72w8AIDLTWsBS5qxTXGi9YzvgV0uXK8+wS7XKnZULl1jbTQqhxSH++2X7pjb\nj9NoyiA+avGVxMXYijdg12a6q/YvuDfZZJxbi8oLvLDLjNHt/0Soa5LVe/8as9LEl90ctNiXla3i\n0orfYDOM9UDG2uDETi4xCu54+nNdvxfi8yAuy7fYKcaf46Bt93zl+/CdCvhmPvxblmwjFWKZeEr8\ntNZ6ws3FccD3+tBCCCGEN4ba0A0vM4UF/eRnoWfx/nA+c7mwdhzlmC7iA1vyyEqIoD75VkJdE+ia\nF4LyFANVexjXFjLKFiZ+yXkVTGkzgw0nfA/ceoSwiS72htzA+pz4pcfH5xLOJGP9S6/KaJeL9NFX\n6Y6uWHIl0Z11hWmc19k4Wxb2DozoOcWECje2HgbJzh3b6FvxIQpNbTgxY84OXlJ5Wdkqoa8Opkan\nz/cRvBW/pGJAQ+8if39cTmP1O8+Pojgp01VDg1HZs/MsvPA1KLwN7vx3cNnh4E8DjyuEWMBT4teq\nlLp1/kWl1C1A+/JNSQghxHXt7J9QaN439TnGXGb4wweMF6nB0HOBMMcQnbGriY0IBaBo052M6DD6\nTj4VlKfQTfs57ipkff7CdgjFaQnU6nScnb5XRJw49ShT2kzMirsIMXs8og9AmM1orN7ZsHRlx8b6\nahIZxJTlXxuBKGsILZFlJA2dndOeoHt4knx7NX2x5WBaes6+SH3D/0VHp6My1xvbJq9GtgpAQ1eV\nkfiZrZdW0wI10wC+e5Htnh2njO2auX60wQiPh5iMwCt7OqbgTx81qoS+6aew+WNGg/hTD8PEUGCx\nhRALePpX+JPAT5VSv1BKfWL645fAzzCauQshhBBBN3XiYU67cmmL38BXJt5hvEBt92OFzI2JemMr\nYnjBpVYIO1dlc0yX4Gp8JfAnGGojYaiKc5YVZMZHLLidlRBBDVlEDPh4xk9r7GceY5+rkrs35QUq\nCQAAIABJREFUeXcGLz7TeOE/1Lp0Zcem03sASCsP4Kxc+joi9Rij7ZcSzSN1HZSpRkIylqHipjUK\n9cGnMb3toeDHvlxs00ne/h/AuScgbWXwmtAnFoIyLZ741Rs/c79W/ABSyo0CL4HY95/QcRre8J8Q\nmWRcW38/2Efh9MOBxRZCLOCpncNZoBLYA+ROf+wBKqfvCSGEEMHVW4ul8wSPO7fws/esZyjdeFE6\nUetbP7rF9FftoU9HUV556RxVbHgo7XGrSR6vMxpoB8B19JeApi3nXrf3zSZFX2QhcVMdRsNsb3Wc\nJnq8hZPR27yuuJmeW4xDm5jqrl1y7GTTUaYIIb3Y/22GtnIjmW48tffitfaz+whTdhLKt/sd16P4\nHIjNXJ7Yl0NcDkQmw9lHYGrM9yIrnoRYjfN7ixV4qd9rbAeNXrwtiEcpZUZsp8O/xw+1w8sPQNk9\nUHrXpesZayF1JRx+SAq9CBFknqp6FgLrtNYPaa0/M/3xILBOKVVw+aYohBDiunHmEQBOxNxMsS2K\n9925hUZXCsPn9wQlvKXtCMd1CetyE+ZcDyu4CYCBQJ7HaWfq0EPsca5kzerFV7h04vR/oX11i46Z\nr/fIH3BqRfL6N3n9mKiICDpVEiFLtHTQWhPff4q2sCJUaJjX8ecrq1zPqLYyUn/o4rXQppdxoQjJ\nv8qaq18uJhN87BX4bDV8rhrWvT+48ZNLjW2k8znt0PgK5PmxzXNGSjk4p6C/3r/Hv/h1cDng9q/O\nva4UbLgfus5C8yH3jxVC+MXTVs/vAu42WA9N3xNCCCGCynn+KY67ilhZUYlSirXZ8RyllMjOw4G/\n+z/aS+JkE11xqwgLndtIvHjNDiZ1CB2nX/I//vmnCBvv4knrTu6oWHwVJSLN2II51u59I/epc89w\nTBdz58ZKn6bUY8kketxzS4f6riFKXbVMpazyOG4pYVYLjdYSYnpPATA4Zqd47CjdUaXGmTDhXlSK\n8bEcbOVGcRf7vFp9bSeM7ZS5ASTkycXG58W2krrjckH7STjwEzjxG9j0UaOlxXwV029w1AfnDR8h\nhMFT4mfTWp+ef3H6Wu6yzUgIIcT1aWII1X6Cva4Kbi0zXgiHhZrpiFtLhGPQtxeYbgxVG9tFrXlb\nFtwrzUrmnKkQa9tBv+OP7vsZLTqJghvfQqiH4iu2nHIA+pq9Ox+lx/qwjZ2nJX7Tgr6ASxmLyiLJ\n3uZxzPmzx4hSE8QWbvYptjsTKavIc9TROzjMsdpW1qhqnDmy2veasVWAdi7c7tkyvZKWHcDPPGk6\n8VuqV+Bsf/4U/HQbPP0F4wzi1s+6HxcWa2yDDbR4jBBiDk+JX5yHe+HBnogQQojrXNN+TNrJiZCV\nbJi1FdOSb2zDnKgL7Jxf96nnmNChFKxemIgopehNWEfmxAWcEz6cvZsx2kN468s8prfzjk25HocW\nZqbQphOY7Kz2KnTbiWcxoYkqu83nabni84hjhOGB7kXHDNcZSUBK6Q0+x58vpexGrMrB4489TOeZ\nXViUk6QVtwccV/jJNr1CPL/tQutRiMn0/3wfgDXaqOzp7Rsy7afg2H/D2vfCJ4/D3x6GcA8vNVPK\nJfETIsg8JX5HlFIfnn9RKfUhYGGjHiGEECIAum43k4QSmb9lzopZSfkqunUsg1W7A4of0bybE6Zy\nKnMWtlkAiCjeSihO6k/u8jn21PnnMaGh+HXERXiuypgeG0YzaVgGvDvj13v6OUZ0GKs23+LzvMKS\njd55nQ2LN8QO7TrNhApDJRX5HH++zA33MmBJ5caab2O/8DwOQrDkB1ApVAQmIR9CwtwnfsFoFJ9U\n7H3i98JXISwObv9nY15L9Yu0lUNPNTgmA5+nEALwnPj9HfABpdQupdS3pz92A/cDn7o80xNCCHG9\nsNfs5qiziA1FaXOur8tN4LCrlLA2/ws9DHbUkWZvYjhzO2aT+xecpRtux6UVvWd3+Ry/5+ST9Opo\nVm68ecmxSikGwrOJnfB89m5GQtd+qqwrSImL9nle8VnGecLBRVo6DE/YyZy4QF90CZjMbsf4xBJB\nxL0PUGxq5R2uv9AeXXn19ti7FpjMRvXNzjOXro32Qn9DcBrFJ5cYydms3o1u1e+Bmudh62c8r/LN\nllI+vU3Vu5VxIcTSPLVz6NRabwG+CjRMf3xVa32D1rrj8kxPCCHEdWGsD0vPGV5xVbClIHHOrQhL\nCK2xa4id6oAB75Kl+c69/CgAuRvfsOiY+IQkms2ZWHp87FjkchHTsof9rGJTfrJXD7HH5RPjGkKP\n9noc19VSS6azlYks/87JpeUaPf+muty3dDjd3E+5asCVGlhhl9ksFXcxlPM6QpWT0MIdQYsr/GSr\nmLvi13bM+BysxM8+CkOtnsft+ZaxLXTjgo1ki5vpcSjbPYUIGk8rfgBorV/SWn9/+uPFyzEpIYQQ\n15kGo/fbubDVFCRHLbhtydkAwGTzcb/Cu2pepFslUlix3uO4vog8ksYbfIvdepwo5wA9qduwhCz5\n3yoAFptRGGOgxU2p/VmqDzwJQPa6O32a04zwyGi6SMA84L7kfv2FU0SqSRIKNvgVfzExb3oAsreQ\nuuWdQY0r/GCrhNFuGOkyft96FFCQvjrw2EnGirLH7Z5TY0briBVvhVAfSkQkFoIpdOE21UBMjRlv\nHsn2UXGd8u5/KCGEEGIZ6bo9jBFGdMEmlJuzPzll63BpRXeN70fMm3uGKR8/Ro/tRpTJ8397U/HF\npLvaGRsb9Tp+5/E/49KKpNU7vX5MYrZR2bOncYnVjLpd9BFLVqnnhNWTbms2MSPuE7/RBuP7GZET\nhPNes8VlwQefMlaExGtrZuVsZrtn61Gjv5/V963DC8z8fD1V9mw+AC475PrYM9Acapwh7Fr8fKpP\nxvrgBxvgu5Xw9RR4/JPBiSvEVUQSPyGEEK8trbFfeJ6DzhI2FbovvFKek0aDtmFvW9BlaEmnD79E\nnBoladXSq2bW9HLMStNc7f3z6OrnOK3zuHFlqdePycovxaFNjHro5Wd3usgbPUFb/HpUAOfvxuOK\nyXQ0MmV3zp231lh7zmJXFknQrmUpM4nfWaMXZutRyAzCNk+AyCQIT/C84le/B0wh/rWOsAWxsueT\nn4GRTrjjX6HoDjj+axhqD05sIa4Sy5b4KaXClFKHlFInlVJnlVJfnb7+4PS1U0qpPyiloqavW5VS\nv1dK1SilDiqlcpdrbkIIIa4grUexDDXwF9emBef7ZqREh1FvziN6wPPWSHfs020gvGkrkJy3AoC+\nxlPeBR/rwzZ8lgvRNxAf6bma55zniYumTSVj6nN/9g7gQvUF0lUvKmuj13HdCU0rJ0pN0Fg398V5\nc984BY4aBmOKjdUVcW2KTISoVCPxG2iEsd7gnO+bkVwCPRcWv1+/13g+68It3EtKKYfBZpgY9H9+\nAGf+CGcfgR1fgBv+Bu78N6NwzPFfBRZXiKvMcq74TQK3aK1XAauBO5VSm4FPa61Xaa1XAk3A306P\nvx/o11oXAt8BvrGMcxNCCOGvgWawTwQv3qnfY1ehnIjcSnZCxKLDhmJLSLK3wqRvffbi+07QFZqB\nikpZcmxqXiVOrbC3e7e9rPfY45hxYSr1fpsnGJU9e6zZRI02Ljqm/VUjYU0tD6wBemKeUbils/bE\nnOvHm/qoNDVgCsZZL3Fls1VA4z544Z+N3wcz8Usqhu4qYzVxvokhaDsOeT5u85yRYmyJpsv3N3wu\nGuszVvsy1sGNnzauJRZA/s1w9BfgdPgfW4irzLIlftow879z6PSH1loPASjjEEc4MPMvxb3AL6d/\n/QfgVuXuoIcQQojXTk81fH8d7PlmcOI57egzj/Ciay1ri3Pdnu+boVKNZtQTrd5vw+wemqDMUcVg\nonfJjdkaQac5lbAB70rI9x97hFadyOabbvV6TjMmonNItbegFymF72o6xBQhJBb6f74PIK1wjfF8\nbWfmXK+vqSJOjRKbH8QkQFyZMjfAQBOce9xIwmYSqmBILoXxfhjtWXivab+xspbr55sXtpnEL4AC\nLy9+3UhA7/kBmEMuXV//QaMaafWz/scW4ioTsvQQ/ymlzBjN3guBH2qtD05f/znweuBV4DPTwzOA\nZgCttUMpNQgkAj3zYn4E+AiAzWZj165dy/klXNFGRkau66//SiQ/kyuT/FyCRGsqT/wjSc5Jeg49\nzBlzYCtRIyMjnHr0P1k51sMf7O9lnanb48+p22H0gzvywp9wNHlXla+6uZUPq0HOmzNo9fLPQLQ5\ng8SxuqX/zDjG2dz3Cs+E3krsyUP42m1sWMcSoSZ58ok/Ehk7tw2E1prE/pM0hOTR9vJ+HyMvVEk8\nuv30nK+p//w+AE60OxmedV3+vlx5Av2ZKL2esI0/ZiIsBW0Kgb37gja3+L4JVgEnnvsdA/Er5twr\nqPktGSqUl+sncDXt8j241txkDqfj+PPUjOT7/PDIkXrWH/k5rRk7qTnXBee6Lt5Trkg2WxIYefZb\nnO5YfKeBJ/J35cokP5fFLWvip7V2AquVUnHAn5RSlVrrM1rrD0wnhd8H7gN+7kPMnwE/A1i/fr3e\nsWPHMsz86rBr1y6u56//SiQ/kyuT/FyCw3H8fwgZPM1ZVw4Vk43sWF1gVG/0065du1g5WcWIiqY6\nZjM/feMtmBZprg5QMjDG0Hc+Q7KpnxIvf56Dv/ouABvufBfWLO9W/Y7VPUp243GS1m0kNnrxF4QX\nXvoNYdiJ3/h2tvnx5+uCdQSeeZDUaBPr5j2+sWuAlF11NGS+LSh/dquPFJI+0kL59u0opZiwOzn/\nwoM4Q0JYt/M9EBp2caz8fbnyXNE/k+FSOPVVVqdbYNOOuffO/1/I2cy2W+/wP351GZnWUTJ9+fqH\nO6HlMFz4bwiPI/PdPyQzPH7huMn7sB79BTu2bTWa3fvoiv65XMfk57K4y1LVU2s9ALwE3DnrmhP4\nHfCW6UutQBaAUioEiAU8d7YVQghxedgnGP/zlzjhKuBH8Z8HYPzc0wGFVC47rvNP8aRjHfeuy/OY\n9AGkxoZTo3Kw9nhf5c/SfpRxwrCmV3r9mLC0ckKVk6baMx7HDZ94lAEdxfptd3kde7assk0AjDYu\n7E1YfeYw4WqKmKIb/Io9nyOxhDzdStvAGABn24ZYo84zHF85J+kTwmdRNohIvNQuYsbUKHScgaxN\ngcVPLoFuD8Vj5ms5At9dAb9/F3Schp3fAHdJHxhnHx3j0N8Q2ByFuEosZ1XP5OmVPpRS4cDtwHml\nVOH0NQXcA8yc2H0ceN/0r98KvKi1u5PCQgghLrfuuhNEO/upL/oA97/59bToJAZOPhlQzLiBM5im\nRnjWuY63rM1ccrxSit6oYlLGa2GRc3Gz2Z0uskbP0BFdMfdszxKS8lcC0New+FnC8fEJCgf2URN/\nExFh/iVO4XHJdKtEQtwksiO1rwCQFmBhl4vPlVlJhJqkvtp4rpMNnaxSdVjygpNYiuuYUkYCNb/R\nevsp43xfZmBnVEkqhuE245zeUrSGZ/8RwmLhg8/Cl5ph5dsXHz9zhjCYTeKFuIIt54pfGvCSUuoU\ncBh4DngS+KVS6jRwenrM16bHPwgkKqVqgL8HvriMcxNCCOGD3nqjvUFe5SZWZ8VzwLyOhM794PDu\nrJ07ST0HmcDKRNZWshO9O2PjTKkggnEme9w3JJ+tqrmTEhpxpPn2wjM511gddHQuXtnz9P6niVWj\nRK2616fY8/VEFpEyWs389zkjuo4zaIrDFJ8TUPwZtnxjm2vf9M+xt+YIVmUnomBLUOKL65yt0mi0\n7prVK7L1qPE5fW1gsS82ifdi1e/CM9D0itG2IXsThIYvEbsUUMFrEi/EFW45q3qe0lqv0Vqv1FpX\naq2/prV2aa1v1FqvmL72rpkqn1rrCa3127TWhVrrjVrruuWamxBCCN/Y288wqUPIyK/AZFKMZt+C\nVU8wNd0jz2daE99ziN3OFdxc6X1yE5NjJDBt5w8vObb5zD5ClZOE0ht9mpqyRtFlSsHav3i5lpHz\nu3FqRf4G39o4zOdIriBHt9LWe6lPWdfwBAWTVfTFrzJWU4IgPMNY2XB0Git+Ye3T379At+EJAcaK\nn31s7pbJ1qMQmwXRtsBiJ00nfp6axIORdL7wVUjIh7Xv8zx2hiUS4nMDqxoqxFXkspzxE0IIcXWz\n9F+gUaWTFGOszOVuuJNJHUrn0Sf8C9h+koipXp53reX2cu9fGGYVG6sHw82eWzporek9+yIACSW+\nJX4AfRF5JE8s3mMvvucQzdZCLFGLnB3yUnTuGkKVk4ZzRy9eO37mHAWmdsKCuRoXFstAaAqmniqe\nPtNO0eRZhsIzA39RLgQYiR/MPefXehQyAlztAyMxM1ugZ4nEr+pJ6HoVbvlHMId6H99WAZ3enxsW\n4momiZ8QQoglJYzW0WHNu9hnb3NJFscpwdzo54rf+b/gRFEXv5WcxEivH5ZhS6JFJ2Na4t3/I7Ud\n3DH2JB2JG1GRST5PbyounyzdxuDYwq2s7b0DlDnOM2zb6HPc+dKKjW2ogw2XCrz0nXkegJRVAVRC\ndCMyaxVbzOf4wm9fYZ3pAvb0wOcvBGBsmVSmS2flRntgoDE4jeLNIZBYuHSBl5rnwRoDZff4Fj+l\nHPpqwT7u/xznG2iC8QH3Te2FeA1J4ieEENeIQ/V9/N3vjjM66Qhu4Mlhkp2djMQUXbxkDTHTk7AW\n20QtenzA55DOc3/hmKuYDRXFPj3OZFK0W3KJGanxOK766R+TogaIv+MffJ4bQGhKCRFqkuaGhc9T\ndXQ3YcpOXNkOv2LPZrUVM4EV0/RKidaamPZ9jJhiMKetCjj+bKHbP0Oy7uP7od8jWQ0SU+T7SqgQ\nboWGQ0LBpcSv9ZjxORiJHxgFXrqrPI9p2As5W3wq5ARAShlol3dnCL3x7D8aVUW/kQPfLISh9uDE\nFSIIJPETQohrxEu7X6LizH/wD7/ZjdMVvHeax1qnX8yllM25Hll0E2ZctJze41vAgSbMXad5zrmW\n28tTfJ7PcEwhqfZmcLpPcJu7B9nW/Rtao1ZgLdrhc3yA2Czja+1rWrgFbKza+HozVt7iV+w5TGa6\nw/NJGLmA1pr67hFWO0/Rm7wRTEH+LzrnBtSNn2SbOgFAqFT0FMFkq7i01bP1qLECmOZd78wlJZcY\nK4j2Cff3B1uhrw7ytvke++I21SBs96zfC698DyreBLd9BcZ64NgvA48rRJBI4ieEENcArTWrGx/i\nwyF/4XONH+GXD/8haLFnKkFGZc3thVe+4TYc2kT32Zd8C3je6P/3imk9q7N8PyOnkkux4GC4zf07\n9Mf+/DMyVQ9ht37B7+IoM5U9JzrmrjJorUnsOUybJQ9TlO9bSN2ZTCqnSDfS0jfGqdPHyFC9RJXe\nGpTYC9z8fyClAsLipisaChEktkqjuMvksJH4JZeBNSo4sZOKjVW53kVW+hv2Gp9z/Wh/klBgnCEM\ntMDL5DA89nGIz4N7fwg3fRoKboWjv1z0TSohLjdJ/IQQ4hpQ29HPDa5jdCZsINIayrvO/TXVVZ4b\nkHtrou0M49pCas7cRMGWnEhtSMGlCpFeclU9SR0ZxKVkYV6iabs70dkrAOisO7HgXm1rFxsafkxL\nWDGJq+/2OfaM0LgMxggjpL92bvzOAVa4qhhNDd75uKic1cSrER54ZBcDZ54DIGHF64IWf44QK7zn\nEXjvY2AyL89ziOvTzMrZC1+D5oPBKewy42JLh0XO9tbvMZq02yrd3/fEHGJUDg20pcMLX4OBZnjT\nT4xqoQAb7jd6EF54OrDYQgSJJH5CCHENqDv6HDFqDNPmj+F81x+xKgddx/8clNghvVXU6HRykqMX\n3BtKXk/BZBXDIyPeBRsfgIaXecaxljUp/iUeaYXG2bfRlrmJrdaa07/7J9JVL5H3fiuwVghK0W3J\nImakYc7lc8deJlJNEl8ehG2e01KLjSRyTdMvyOjZR39oCiqxIGjxF4hOhfQgbcETYkb6alBmOPQz\no8hK5ZuDFzux0Ng6ulhRp/q9kHuT/9ujbeWBbfXsqoLDDxqJXvbmS9eL7oCYDDjyoP+xhQgiSfyE\nEOIaEFL9NJNYSFp1B0nZ5XSoZKzNflbcnCd2pJY2Sy7WkIWJWmzpNqzKztkjXp7zq3kek3awi/VU\nJPqX+KUnJ9KsUzDNe/d/1/6D7Bx6mNq0u4gv2+5X7NlGo/NIdTRjd7ouXhs/b2xrTaq4OeD4F2Vu\nhLXv473mZ7ndfAxnzrag9e8T4rKJSYdPnYAvNMDfn4WC4L05Qmg4xOW4L/DS3wCDTZDrx/m+GSll\nxsrcxODSY9157h/BEgU7vjT3ujnE6ClY+6JxBlGI15gkfkIIsZxajhhlxrvPL1tpb5fTRcngXmqi\n16OsUaAUzbHrKRw7jsvpDCz4+ADxjh4Gowrd3s5bexsA/VW7vQqnz/+FPmKJyN9EWIh/yY1SinZr\nLrHDc7dhhrz0NZwqlJz7vuVX3Pl0UhHp9NLS1QvAhN1JVv8BOsMLgtv/zmSCe74Hf/U7SKkg6UYv\nm08LcaWJyza2XC6Hxfrt1U+f7/OnsMuMi03ifajs6XQQPVQNe74J1c/Cts+Cu9YxK95qfG4Izhtx\nQgRCEj8hhFguk8Pw853w67fADzfCn/9uWZ6m9uwhMuhmsmBW37fcbcQxQv3ZQ/4Hbj2G/sMHAXAk\nV7gdEhqTQntoFnE9R93en8Npx3XhWZ51rOHW8nT/5wWMRheQ6rhU2bOppZVNUweozX4rIXGBxZ4R\nkVaKSWk66o0Xm4erW1mrzjOVsyMo8Rco2QkffyWwF7BCXKtslUa/vamxuddbDk8XKyrxP/ZSZwjn\n0xp+/y7WHfssvPh1SF8Lmz7qfmx8HoRGSJN4cUWQxE8IIZZL8yFwTtG39WuMlL4dffSXl/pcBdHQ\n0YdxaUXWpktnajLWGUlg7+ln/QvadBD+3y04W47yb/a/MqrTLaI/rpIcex2TjiVWF1uPYZ4a5iXX\nam4t872Nw2zKVoYFBwOtxgu1upd/j0U5SbnhnQHFnS1purLnSKtR9KHp2HNYlQPb6juD9hxCCC/Z\nKozKnvO3e7YeM/oFBrI9Oi7HqOy52BnC+WpfhAtP05T1Zvi70/DhF43CSe6YTEYF3UCrhgoRBJL4\nCSHEMnHW78OBiZuey+TGE7cxpiJwPv/PQX0Oe18j5Y2/5oD1BpLTsi9eT88qoFFlEN66z6+4U4ce\nYkxFsG7omzzEPazPS1h0rEopI131UtfS5jnodMn1YdsG0mLD/ZrXjOjslQB01R4HILbuz7SbUrGV\nBq83XXS6sQrgnN7+Fdq4GzuhWPJvCtpzCCG8dLHf3qwEamrUSKgCbRRvDoHEIu+auLtc8PxXIC6b\n+rx3Gttbl0o6beWBVw0VIggk8RNCiGUyVrOXM6483r2tnA/dvpYfTt2FufopHA37g/Ycnb//NFqD\nvuNfF9xriVtP/thJtGPKt6CTI6hzj/GYfSPv2LaC5z69nWLbwoqeM2JzjCqbnTUL2yvMZq/dS5Ur\niw3lxb7Nx430wpXYtZmQV/9ET2crKyaP05J+R3CLolgi6TElYx2oo6ZrhJWTx+hOWAuWiOA9hxDC\nOxe3TM5K/NpPGquAgSZ+AMnF3q34nX0EOk7BzV9Gm0K9i51SDqPdMNId2ByFCJAkfkIIsRzsE4R3\nneCQq5SPbsvnE7cWkX7Hp+nScdT/6WtBeQpH1dNkdr7A/0a+gy1r3ZTnz9tBJBM0n33Ft8DnniDU\nOc6JhJ18aWcZuUmRHoenFBjPPdbioW+g045qOcgBVxm3lAa2zRMgNTGB30e9m/zu5xn9xdsIUS4S\nN/1VwHHnG4zMJXWilvd/538pNTVjLVmmxupCCM9MJqP6Zuesf2dap88WB6NnYFKJUSHUPu553J5v\nGecNV7zN+9gp5cZn2e4pXmOS+AkhxHJoO0aInqIlejWJUcbZj3dvK+dc3A7SB4+hp4uS+M0+zsTj\nn6HGlU72XZ9DuVnpSisz+kn1uml07sn4kV/T4LJRuO42r8aHJOQwRjghPW5Krc9oO06Ic5wzlpWs\nyIj1aT7uKKXY+df/we6QLeSMn6VJpZNXsSnguPNlr30dZaYmdod9FoCEFXcs8QghxLKxVRgrfjMV\nkluPQmw2RAX+ZhLJxYCG3prFxwy2QPc5WP0u33oGzmxTDeZ2z/EBGO64WOBKCG9I4ieEEMvAWW+U\n7rbk3zjnujV3o7EKd96LKpgeOPY8QNRYC7+I+1t2lGe6HZOZW8y4tuDs8pCQzTfQTFjLPh5xbeXu\n1V5Wx1SKrvA8EkYXf8Hkuvj9uAmTKTjbMROjwyj6yK84YF5PTclHUf42b/YgdPtn4T1/wlz5Jije\niUpdGfTnEEJ4yVYJ431GwgNG4heM1T6Y1dLBw3bPi60jtvoWOzIZIhKDV9yr6xw8UA7fLoGvJ8P+\nHwUnrrjmSeInhLi+jXTDi/+y9PYeH41V7+WcK4uVxXlzrqevMBqLd57d63/wvjrY910ed97A6++9\nz+1qH4AlNIQWcwZhg7Vu77ujT/4OhaY+/W6fCrBMxBWT62qif9T9ecLRC7s478pkXVmR1zG9kZ6S\nxKYvP8/N930qqHEvMpmMRtRv+S945+98e5dfCBFcswu8jHTDQFNwzvcBJBaCMnku8NKwF8ITIMV9\ne5tFKWVs9+wKQksHpx3+9FEIDYPXfwtSV8Ir3zOuC7EE+R9MCHFd63n0i7DnP+jd/+vgBXU6sHYc\n4bCrlE3zqmFm5ZfTRwy0+NlfT2vsT3yWCZeZXTmfYkuBm4bBs/SH55I43uB17Kljv+Wgq5Qb1vn2\nYio0rYIkNURNff3Cm047YW2HOOgqY2ux5/n6Qym1aPIrhLiGzD4r13bM+HWwEr/QMIjPXXzFT2uo\n3wO5N/n3BpCtArqqjKqggdjzLaOozd3fhY0fhu1fgOF2OP9UYHHFdUESPyHE9avjNAlpMHwAAAAg\nAElEQVQ1fwRg/MDPgxj3FBbnGPWRq7DFhM25pUwmmiMrsQ2d8i921Z8JrX+B7zjeysfesHRbgcm4\nQmyubhwTI0vHbjmCdbCOR13b2VmZ6tO0EvKMyp699W7OE3acJtQ1TlvsGlKiwxbeF0IIb0QkQEwG\nnHsC9v/QWKFLWxW8+Ekli6/49TfAYDPkbfMvdkoZ2EdhoNHv6dF5FvZ8E1beB+X3GNeK74CYTDjy\nkP9xxXVDEj8hxHVr9Mn/w5CO4Mf6rWSOnWW0ybciKItxNRi988y5W9zet6etJ1u3097e4lvgqVGm\n/vx5zrmysa+7nyIPLRZmhKaWYlKa9joPFTdn5nXs14xjwVV2D/GRFp+mFpdrvPiaalt4hmWi8bAx\npih4PfaEENepzPXQctj4WP1OsEYFL3ZyMfRUuy+YUr/H+Ox34jdT4MXP7Z5awzP/ANZouPPfL103\nmWHd+6HuJej1flu/uD5J4ieEuD7V7SayeTc/cr2Zyrd8nkkdQtNzPw5K6JELe6h32SgrLnF7P7HU\nWKlrOLHbp7h69zexjLbxzZCP8Jk7Kr16TGyW8WKjv3GJogL2CfTpR3jauYG33lju07wAVJSNYVMM\nYf0Lt0n1VR+iT0exsnKFz3GFEGKOe38EnzwOX2qFe38Y3NjJpeCyQ7+bLesNeyHKBkl+9iFNKTU+\n+1vZs/pZqNsFO75krHzOtvY9YAqBo0HcuSKuSZL4CSGuSxPH/ochHcH46g+wdWUJB8NuJLP5CVyT\nY4EFdrmwtB7ksKuUm4rcn2fLrrwRhzYxUe9DI3fHFPaD/48nnJu56643ERvhXePgjMJKnFox2bHE\ni40LT2FxDHEw+nWsz4n3fl4zlKI3ooDk8VoczrlnWEI6T3BaF7AmO2GRBwshhJesUZCQvzyFlmYX\nj5lNa6OiZ+5Wo1CLP6zRxjZVT8Vj3Blqg1cfg6e/ZBSg2XD/wjHRqcbZw5lVSSEWIYmfEOL643Ki\nzz/Fi67VvG+rsSpnXv9+ohmlavfvAovdc54wxyDN0asXnO+bYQ6LosVaQFyv91tLdcPLWBwjnEm4\ngzevzfD6cTFR0bQpG6H9HnpTAf3HHqNbx1B+4xv8LpTiTC6jiGZqO4cuXZwaI3Gsjs6oMsItZr/i\nCiHEZZFUAsq8MPEbbIGRDsjeHGD8Ys/tIua78Ax8pwIefq+RAO78DzAv8qafrdKI7XIGNkdxTZPE\nTwhx/Wk+SLh9gKrYrRSmGOdDNuy4hx5imTz9WEChJ2uNNg3hRZ7PgQwlrKTAUcPohHcluAeOP8q4\ntlC4+S6fE7NuazZxo262Ls2imw9ynFLuXZvtU+zZovI2EqUmqK86dvHaVOsJzLhQ6Wv8jiuEEJdF\naJixqjY/8Wud7rsaaAXR5BLjDKE3lT2dDnj2y5BQAB96Eb7YCIW3Lj7eVgGOCaPdjxCLkMRPCHHd\nGTv1GJM6hLgVOy9es4SGUJuwneKhA4yOelEBcxH953bRrhNYWem50lxoxipi1Dg11V4c9NeakJpn\n2OtawdbyHJ/nNB5bQJqjFe2uYAHASDcJU230xq0kNty7LaTuJJcazerH6y+1qug4t3/6nhR2EUJc\nBWwV0DmvGFbrUTBbjFW1QCQVG5U9h1qXHnviN8a20Nu+ApnrIMTqefzFVhdB6BUorlmS+Akhrlgu\nl0ZrHdygWuM89yT7XRXcvKpwzq3YNW8iUk1was/jfseOaD/IMV3K+jzP59lSijcA0FNzZOm47SeJ\nnuzg7P9n777j5DrLQ4//3inbe5nZ3ntRs5rlIlfcwWATwCTkhpZAyE2BQMiFNAIBEi6QxCRwgymh\nGmyIMZaLbMmSZfW+qitt772Xaef+cWal1e7O7JSz3tXq+X4++9nVOWeec0ZHmp1n3vd9nvhbyUgM\nvh2CSi8jUjnpb194uufo5QMARBaGN43JlFbCuIoluvfqFNbJ5qP0aEnUli9c6EYIIVYUe7XecmFq\n1pT19qN6o3RLcNWO50n3FnjpW2S6p3MSdn8ZcjZDxUMBxi7X21t0S+InfJPETwixYj35nSf5l6/8\nLXVtQ8YF7TlH/EQrR6K3UWa/tgx42ZYHGScax5kQE7/+SyQ4++hL20iU1f96ttTCdbgx4Wo/uWjY\nqbrf4NYU1qoHFj12IXHZ+ifBPQ2nF9zfc3YvTs1Mfs0tIcW/wmSiJ76a/MmzOFz6VKb4gdNcspSS\nKv37hBDXg5lRvZnqm24XdBw3plF8uvcDsN5FCryc+DGMduijfYFO7bdG60Vvehap4CxuaJL4CSFW\npMPHT/Dhzr/nL6e+Scd3HufpNxZOWoI1feZ5AKyVD8xbK2eKiKI59VaqR/fRNxJ8dc+B43rCGF11\n/+IHR8TQbc0hfmjx0t7TZ37LUa2MrTWhjZplFOvTTsc7Fv4k2NRxmPPkU1NgDyn+bM7MDZTSSn1b\nN57JETKcrYylShsHIcR14kplT+90z74L4JwwJvGLTYPoFOg97/+4S6/qSVxBkB/G2apCbxexEI8H\nhlrAMW5cTLGsJPETQqw4HrcHXvgUmjIxtuXPuct0jJpX3s/ktI81akEYPfsKZzz53LJ+4WQkYd2j\npKkRjr/5ctCxp878lnOePG7eEFghk5HESgqcl5lw+HleIx0kDp/jTfMm1ueF0GYBSLdlMKTFoRZa\n9O92kTF6lo64GiIt4VfdTC69GYvy0HHuAO3n3sSERnT+xrDjCiHEWyIxByITrxZ4Maqwy4z0cv8t\nHTxuaNqnt44Ilq1KL+7inAz9+mZoGvzsCfhGLXwpC761DdyBFSMTK5ckfkKIFefYyz9kk/Mwl6r+\nhLgH/o6G9X9FlWrm3Nnj4QV2TpLUf5yjpjU+k6jsjQ8DYGl5M7jYk4PYh45zKmYruSkxAT3ElLWW\nLNXPxcZmn8d4Lr0KwFTenZhNobVZUErRackmZrRp3r7RttNEM4Un25jkLK1cL+Iy3XyQ0Ze/zLAW\nS9FNdxkSWwghlpxS3gIvsxK/qER9BM4I6eX+Wzp0noTpYSj0Xxl6QfYq0DyLjygG4uj34eIO2PJH\n+lfPGTj/2/DjimUliZ8QImgNnX38+5c+yYXWriWJbzv8zzSYCqh+12cAyNz4CABDdTvDC9x6EIvm\nZCTjZp9JlIpOol+lEDHSFFTo4dM79LYF5YGvw0st0T9B7r7ou8DL6JmX6dGSKKndEtT1zDUSk0ea\no3Xe9vZTesNfW1UIny4vQMXb6TXb2dz5U6qmjnO++s/Izsg0JLYQQrwlZhI/TdMTv6wNxjWMTyuH\nyQEY71t4/0wT9pBG/LzTVMOd7jnQCC/9Hyi6A+77J7jvS5CYC0eeCi+uWHaS+Akhgnbyl1/hE47/\novGlbxkeu7/lPHmeNjqK343ZorcWiM+qoFelEduxL6zYY+d34dJMJFRs93tcX2QOCZPzkyR/Bo8/\nR5+WwJotdwb8mJSiDQBMt/ko8OJxE9myh72eWm4tTQ/qeuZyJRVh0/pxTF7bqsLRfIB+LYHqqjVh\nxZ+tP6kWmxqiLbqCLY9/0rC4QgjxlrBXg2MUXv17vUqmUdM8AdLL9O++Rv2a9urJYXwIa65TCsES\nNb8PYTA0DX7zp2Aywzue1BNekxlu+n1ofB36Fq4OLa4PkvgJIYJyobmdO/p+AkBu+2/xeIxtt9B6\nWG+gblv/yNWNStGevJmyiRM4nKGv83Nc2s0prYj1Jbl+j5uMy8Pu6gi8lYTbSXrXXg5bN1KemRTw\n9ag4G4PmVGIGfJTf7jxJlHOIC3GbQ2rjMJslvRSA7uZrPwlOGTxFQ1QVURGWsOLPZq+5Cw8m7O/9\nd/0NgxBCXE9yvFPf3/i6vuav8mHjYqd5i3Qt1NLB7YTm/aFN8wT99Ta9PLxefhde0BO8u/9Gf+4z\n1n8ATBYZ9bvOSeInhAjKhV9/hWQ1RmPmA1Rrlzh9+pih8SMaXqOFDEoqrh2BUkW3k6xGuVx3ILTA\n06MkDpzmiKqlMjPe76FachE2NURvf39Aoccv7yNWG2Oi4N55lUIXMxhfQc70Jaac7nn7XPX61FZr\nSeCjiL4k5Oj9owZbriZ+Y0O95LjbmLQHVowmUMm3fxTT/z6GNX+ToXGFEOItkVELf3IM/qoF/uwU\nZBn4GpmYAxFx0LPAOrz2Y3qD98Iwpt6nV/pfQ+iPywEvf15PTm/6g2v3xduh4mG91YRzKvTrE8tK\nEj8hRMAuNjVzx8DTXEq9E/tjX8WjKQb2/8iw+JpjgqLxYzQk3Yxpzhq83Jv0tXODoa7zazmAGTeD\n9q1YzP5f+iLs+uhYT3NgC+Q7D/2Kac1C0dbgPxXWMmopUe2ca+2Zt2/i7Muc9hSwrrIs6LhzZRbq\naz+muq9Wk2s88ToAiaXbwo5/DbNVn3IkhBDXq9RivaiL0ZQCW+XCo3JN3vV9+beGHj+9HEbar21A\nvxjnJDS/CS9+BgYuw9v+EcwLzAKpfRymhqDLmPZK4q0niZ8Qq81gE7QeWpLQnfufJkFNkvrA54hJ\ny6M+Zi3FXS/gdnsMid924hWicKBK3zZvX0pmAS2mbOJCWeenaTgOfpdJLYLE0sX7IiVn61NxRtoD\n+9Q0vnknx0zVrC3yP4V0IUne9gfd5/dfu2NqhNjeY7yhrWFLUUrQceedJzmFXpIwDV5t6TB66U3c\nmqJkXYjTioQQQgTPXq33CZy7nKDtiD7aFpsaeuyZJvF99YEd75qGb2+H7z2gT+OseQxK7/Vx3TPN\n7aVJ/PVKEj8hVpPJQVxPPYjnqQf0PkAGi2rfT79KJrlYX+g+Xfk4eXRx5sguQ+IPn9rBlGalZMvC\nDdDbkzdTMnkSjyu4XkK2nr1EXNrB112PsaEke9Hj0wsqAXAHsIh9uusCdmcbvVl3zRulDERKuT7a\n5m6ek6w37cWsuelI3UZClDXouAvpsWYTN9Z05c+xPcdothQSGx/4ukQhhBBhstfA5CCMdl7dNlNB\nNCfM1jr+1hAu5PB39WMf+hp8qh4ef0oflVxIUj5YY/WCN+K6JImfEKuFpjH17CdgtIsOTxLTP/09\nGG4zLrzHQ9HYMZrj11/5pVByxxN4NMXo6R0GnEAjret1TljWkJ3mY4Qrcx0xTNPTFkRVsbFeSuq/\nQ721nJ+Y386anMWn7lijE+gnGctw06LHNh94FgDbTe8I/JpmUXE2ui1ZJA2cuGb79IWdjGuRpFQY\n02YBYCwmn3RHOwCT006Kps8zlLrWsPhCCCECYPe2XZhdfXO4FcZ7IXtDeLGTC8AcEdg6v6kR2Psv\nULgdNn0Y4mz+jzeZwFYRXvEYsawk8RNilXAd+SFR9c/zDc97+FLyP+KcmmD4B++bP5UkRF2NdaQz\niCPn6lTJmIRUOs0ZRAyE3yx28uJrZLg66My+z+cxcdl6gZL+prqA42q7vohyTfKxsQ/xj+9cS5Q1\nsCqTfRHZxE+0LHqcqf4l6rVcNqwJPYHqS1pDqeMcU46rFUudF15hv6eKO6oWH6EMlCu5iFSGmBwd\n5HzdYeLVJFGF4fUHFEIIESRblf69e9bvsvaj+vdwW0eYLZBSHFji9+a/wUQ/3PN3gce3VemJn0Hv\nLcRbSxI/IVaJ/l3/xglPEeXv+j985Y8e5ydxHyBx4BSTXSFW95qj+5ReVCWl+u5rzxtbin0i/L4+\nQzu/Rq+WSP4dH/B5jK2wFoDJzgATTU1j8sxvecl9E/fcvp1H1weeRI3G5mF3tvs9xjU+SP74KRpT\nbyfCEsbLae5mbGqIhkveipsDDcRNtHIycgNrc4ybhhlh04vWdDWdofecPhU4t9Z/T0MhhBAGi07S\nG6LPHvFrPwrmyKtN2MORXrb4VE/HOOx/EqrfGdwoo71aTxbH5hckEyufJH5CrAZTI6RNXKYl5VYe\nWZdDfJSVtbfpffDa6/YacgpLyxt0a8kUlV/bZsGVVkmO1kXfwEDowbvqyOzdx3ORj7C+MMPnYTZ7\nFkNaHPQHmGj2XyZmqoeLkbX85X3lQV2SJ6mQdAYZGRnyeUzjgeew4iau9qGgYs+VWq5XcOs//wYA\njgt6kh1Rdm9I6wZ9ScrV1y621Z/G3XyQURVHfHalYfGFEEIEyF49J/E7BplrwBIRfuy0cr3Qm7+2\nCy379dYR6383uNg27+8MI6d7TgzAWC94jCkUJ3yTxE+IVWDg4n7MeIgo3HplW1n1Rsa0KCYbD4Z/\nAk0je+goF2PWYbFcO1UyJm8tJqXRcuF4yOFHXvu/jGuRmDd/yG8fPKUUndYc4kYbfB4z2+CZVwBw\n29ZiDjKBirCVANDd5Ht0cfzi64xq0azZek9Qseeyl25gkkhMbYcBGDj1Im1aGhs3GNsHL7NQn15U\ncfJL3OfYyXjGFt+L+IUQQiwdWxX0XdSrarpd0HE8/GmeM9LLQfPorRl8adyrN2TPuzm42DMjkkYl\nfk374Gvl8C8l8I82OPULY+KKBUniJ8Qq0HtuDx5NkV1ztRBIcnw0Fy1lJPSd8PPIwEx3nSNZG2I8\nc/4viKwy/RfVcFOI52k7StzFX/O0504e2rL4FJfhmALSHa0BhR4+9xqdWgo5mcGvk0vwriccafed\n+KX0H+NiRCVx0ZFBx59Nma00RZaTPnwK3E6Suvdz0LSeTYXht3GYLS4unqOW9Yxa0xjc8kky3v9t\nQ+MLIYQIkL0aPC49+es9D84JYxM/0OP60rgHsjdCRGxwsePSITbdmMqe06Pw649BQhY88M+QlAf7\nvinrB5fQAt0ZhRDXG3P7YerJpaIg55rtA0lrWNP/UzTHOCrYF/dZ+g78lGwgvuKuefsSMsuYJBLV\nHUJfn+kxPM98mG6SOVH0Mf4gfvEEyplUTOrIizjGh4iI9bP+zeMhpecQ+63ryIgL/jMuW4Ge+Dl6\nF55W6hwbIMfZxKWs8Eb7ZgylrmNT+48Y//pGYj0TTOTdsWij+VCs/+tdhk4fFUIIEYKZnnjdZ/RR\nPzAu8UstART0Xlx4/9QwdJ6A2z4VWnxfDeiD9fLnYagF/mAH5N+sF6Z5/s+h7TDkbg4/vphHRvyE\nuN55PGSOnqYltgbrnETBkr8JC266L4Qx3fPCi2Sd/Dd+695MeWXt/P0mE52RhSSO+vgF489Ln0UN\nNvJn0x/jPbfXBPQQq70MgO4G/5U9pzrOkOAZYjL7Fr/TR32JS0ihjyQs/QsvkG8//TompRFZfGvQ\nsRcSUfUQU0RwdDieTzs/QsGtv2NI3Lkk6RNCiBUgtURvu3DyZ3DsBxCVCClFxsS2RkNyvu8CL837\n9amghSG2C7JV66OJ4azJa3gdjn4Ptn1CT/oAat8NEfF6I3mxJCTxE+I6N9FxhlhtAmfW/PVgmVX6\ni3rf+TdDC956CO2XH+SsVsBLJX9LWnzUgoeNJ5WT72pkYjqIxuqth+DYD/m+ehRT4a1sK04L6GGJ\nefp00KE2/582thx7EYDMdW8L/JrmXmJMNVkjpxbcN3xhD07NTNFaY/rs3XTr/Qz+aSNpH3uBD/7J\n33Bb2SL9lIQQQly/zBbIWg8Nu/TWCzf9L2PXXKeV+x7xa9yjVxDNCXFUzV6lT00dbAzt8W4X7PiM\n3hD+zs9d3R4ZD2t+B+qe1Qu+CMNJ4ifEda7j9G6ABRt9lxQV0aalQ/uR4IJ6PLDvX+F7DzBsSuBD\njk/y8fvW+DzcmllDihrjcqOfheRzvfF1Jq1JfHXyET75trKAH5ZVUIVLM+Hs9l+q2nXpdVo0O+tq\nFxilDNB01maytS76Opvn7YvtPsIFUxGZ6akhx58rNyWGqqwEKjISDIsphBBihXri5/CnJ+GvWuHe\nfzA2dno59NeDe4EPZJv26FMprQt/mLt4bG9lz0B6BS7kyHeh9xzc96X517DpQ+CehhM/CS228EsS\nPyGuc47GA/RpCVRWzW8gbjYpWmOqsI0E3vAcgH3fgFc+z3Txfdw/+Y9srK32m4ykFus9gLrrjwUW\nv+ccXHiB77vexqayXDYWBF7EJDE+lg5lwzLoJ8nUNDJHT9Eav5ZIS2AN2xeSUnUHAM0nXrt2h2ua\n3MlzdCetDzm2EEKIG1x0MiQXgGkJ3o7bq8HtgP45vysnBqCrDgpvDz12uvfDWn/FYxbSfxlOPQ27\nvghFd0DFAq2Q7NV6Ytn4eujXJ3ySxE+I65mmkdZ/hIvWShJjFu79M2Vbj83Ty8SA/2bk14Stf5m+\nxBpuafhf9Lli+LN7Sv0en1akJ0CO9tOBnWDfv+I0RfHtybv5i3sDH+2b0RuRR+J4k8/9Y73NJGvD\nuOzzk+FgFNbczKQWgbPh2qmyvRcPEIkT8rb6eKQQQgixjOzeKtndcz74bT8GaOH9/opKhPhMvSJp\noPY/Cf+2AZ79iN5G4v6v+J7amlFjTNVQMY8kfmJl0zQ6f/AH9B96eklPM+1yc6ZjeEnPsRQmW45j\nc3fRl3mHz2Pi8vSpjl2XAxz1c7twtR3nuf4citLjeeZj2yixxft9iIpNZcCUSvTgucXjD7ehnX6a\npz13srGymHW5fipz+jAWX4Dd1e5zYXn72QMAxBWF1wfPGhFJQ2QlaQNHr9neW7cLgMyaO8OKL4QQ\nQiyJtDI9wZpbcbv9KKD09YXhxg90qufEAOz+sj7K90f74JMXwVbh+3hbFYy06dVHhaEk8RMr2mDr\nWTIbn0V7+XMLz1M3yH8+8zK/evKzPH0oxIXKfkw7XTz9n19g35cepPPvS9n7zL8bFrv1jR/j0kxk\n3+y7AmRKrt60e6Q9gKQMoPccVs8Uo6lr+fkfbmVtgInZQFwpGVMNuNyLVPm6sAPlcfFf0/fw5yGM\n9gFoqaVE4WC8b/7aO4DxpiO4NUVeZfjloEdtGyl0NTA6fHWheXTza5zTCigtKgg7vhBCCGE4S6Se\nnC2U+KVX6IVUwpFero/4BdJzb+/XwDEG939ZH80zL9JNzqa/b6EnwPctImCS+IkV7fK+ZwBIc3Uz\ndPjnS3KOwdEJ7j37V3zO+mN6n/tbXqzrMjT+mSOv8ztd/0K56wKYzKw/9QV+uGNP+IE1jeTG5zli\nWsP6imKfh2XnlzCtWXD56Ec311TTIQDiircE1QbBbauimDYauof8HjfdeIAeLZmKqnVUZyUGHH+2\n6Ez9l0L35ZML7o/qPU2jKZf0lOSQ4s8WV3YbZqXReEJfb6BNDJA7fprLybfOa58hhBBCrBj26msT\nP03TEz8j+gWmlenJ3Mgiy0iGWuDQd2DdE3r/v0DYvYlfKP2BhV/yrkWsaBGNr9JIDhc8Obj2fD2w\nT5aCdPpX/0yVamIibS1/bPkfnv/Zt2kfmjQs/ug5vTBI9Cf2kv7xF7GYTZS++Rm+uzeICpgLGGk4\nTLqri76Ch/z2ZouKjKDDlEnEcGCjmUP1bzKgxVFaHlw1zPi8tUQoN631C7c/mOFs2s8RTyl/fJf/\ndYP+2Er0CqOjrQtPX7VPXKA7pjzk+LMVrtuOW1OM178BQNex32LBg7XyAUPiCyGEEEvCXq1PmZz0\nfiA71AITfZC9IfzY6d6pmotN99z3r4CCOz4beOzEXL2fn4z4GU4SP7FidfX2UjF9moGcO3kt9b2k\nTVzCc/FlQ88x1d/CTQ3f4lTUJmL+6BUmbev4svlbnDwXZKUqPxK6DtBiziM2JQtLagERD32Zm81n\n6X3tSaac7pDjtr3xExyamaLb3rPosQNROSRNtgQU19J5nFOeYjYEUWkTIL1E/0Uy0nzC90GjXcRN\ntnPOUkl1VugtC3KzcujVEhf8pTDZ30qqNojD5rv9RDBiE1JotBRh73wVze1i/PRv6dMSqN0s6/uE\nEEKsYPYa/XuPt1BKu3e9uhEjfuneD1cXK/ByaSeU3A2JOYHHVkofHewxsMCL2wVDreCcMi7mdUgS\nP7Fi1e35NRHKTdamR8m9/QN0aCkM7Pm2oefoeuYzmDU3zvu/CpZIrI/8X+LUFJMXjSkjPDk5Rdn0\naXpTr641M234AMP2LXzQ8wz/c6QhtMCaRnrLCxyzrKOyMG/x64gvwO7qRHO7/B84PUrKRAPtcdXE\nRS4yB38Oq60CF2bMvX5eqFsPAuDI3BjUNNK5LGYTbdZ84kbmT1+dKewSW2DALzavnpqPUORu5NIL\n3ySjZy/HIjaSlRxrWHwhhBDCcFcqe3qnTLYf1Ru3z2wPR2w6RCX5H/EbatWbvIfSOsJepV+3ETO9\n3E743gPwjRr4oh1+8MiSzCC7HkjiJ1Ys7eLLjKlYMmu2c29tDidNVai5ZYnD4Ok4SUHHC/wm+lE2\nrNWrW1my1jJFJNHdRxd5dGDqT+4hVk0TUTrrRU8pEt72WWxqiPbdT+HxBP/iM3zpAOnubgYLHw4o\ngVKpJUQqJwOd/qd7utqOY0IL7dNASwR9kfkkj15E8/GCOnH5TaY1K7ayLcHHn2MkrpgMR/O8F++x\npqN4NEVuZfjnmLHx4Y9yWK2h8OgXidPGGMu/x7DYQgghxJKIz9R7Bc68d2o/BplrwWwNP7ZS+qif\nv8Svaa/+veC24OPbqmFqCEYNqLuw9/9C2yG47ZOw9glo3AOth8KPex2SxE+sSH2jU6yZOkRX2s1g\nthJpMeNILiPV1Q3TY4aco/83n2dYiyHu7k9eTZ7MFrriqsgZP4M7hIRsrpGzetn/gpvuu2a7KrqD\nwaQa3jX5DHvOdwYdt+vNnzCtWcjf9nhAx8dm6VMyepv9T5voPqevY7NVbAv6mgAmUioo0lroHF54\nKsV0435OakWsL7KFFH82T1o5sUwy0XttZc+InpM0qWwy0lPDPseVmFYzHbd8AbemcGpmsjc8aFhs\nIYQQYkkopU/37D6jT3XsPGHMNM8Z6eXQ5yfxa9wL0SlXq3QGY6YQTE+YBV46jsOer0Ltu+Huv4EH\n/xkiE+DId8OLe52SxE+ExzG+JGEvnT+NXQ1hKr7r6kbvi8B0pwFzvpv2kd75Oj+yPs69G64tAjKV\ncROVNNHQ2Rv2aRK69tNoLiA+JePaHUoRf8+nKTB1c/n1HwcX1OMhvWUHh8zrqAsrCkcAACAASURB\nVCzMDegh6fn6tI7xDv+LsB3Nh2ny2FlbXhTcNXlFZNWSrfq52NQ6f6dzioTBM5ykjJoQq3nOFpOt\nr13oujxrTaGmkTF2jo6Y8rCmki7k/jtu4+uWD/FfPMr6snxDYwshhBBLYqay586/BeeEsYlfWjlM\n9MN4//x9mqaPrBXeBqYQ0o0r01TDeM/ndsGv/1iflvrgP+vbIuNgzXvgzK8Wvu5VThI/EbKuF7+G\n858KGLl0wPDYQ96Y9sqrI0/x3kbkfQ1+iocEaPSlL9ClJRN328ewzCnJn1ByM1blvrJWLFTTUxOU\nTp+hJ3XhXnKWqkfosWRR278jqLhTTQdIcffSk/dQwMlNRnYB41oknn7/LR2SBk5Rby3HFh8V1DXN\nSCvSp8z2Xj4+f2fHccyai6HUDURYwn/psZesBWC05fSVbSNNJ0jRBhnPDG3E0p9Ii5nbn/g0We/8\ngiHXL4QQQiy57I16wrf/SX3krWi7cbGvFHhZ4EPlwUa9omgo0zwBYlIgLiO8Ai/Hf6iPGD7wVX3K\n64xNHwK3A04E+cH7KiDvXkRIpttPk3LgS1g1B4M//zgel7HN1U1dJ5gmgticmivbcgsrmdKsTLSH\nuc6v+yzxnfv5qXqQx7bObyBur9JfpKabDoZ1mvOHdhKtHESU+HiRNZnoia8iw9nmc03cQvRpnlZy\ntrwz4MeYzSa6zFlEDTf5PEYbbifZ3cd4+rqA484VlaNX0nR2nJ63z9Gs/33GFt8ccvzZcrNz6dUS\n0WatL2g59GsAcjY/Ysg55tpWnMY71mUvSWwhhBDCcDWPwR8fgr/ugI/vh7jwl1pcMZP4LdR2odHb\nr7gwjETTVgG9IVZZnxqB174I+bdA5Zz3BLZKyNsGR5664Yq8SOIngudyMPjjDzKixfCLjL8g33mZ\nN3/6JUNPkTZylo6okmsWIBfYErhMNmZ/88kDMP7GfzClWVHrP7Bg5Upzgp1ucwbxfaGPLLrcHlx7\nvsYgCZRve9j3cUlFZNND/0iA6xY9HpKadvCGWs9NQU43HIzOI3l6gSmYXl1n9fV9cUVhFEVJyGLc\nFE/c0PwX6uHLh2nXUqkq9d1sPhhmk6Ldmk/8SP2VbVGNr3KOIipL5yf0QgghxA3HZNITtIgY42Nf\n6be3wKhc0xsQZ4e00Hv2klYOvReDS84c4yQNnobn/1zvWXjfF/W1jnPVPqaPSg77fl+0Gknit0qd\n/97HuPDjTy5J7LZXv0XGxEV2FHyGxz/6eepit7L+0pNcrA8vIZvROzxBuecyE2nX9mGzmk10RhSQ\nNBZG4/PJIaxnnuY3nm08dpvvPm89CbUUTZ3F5faEdJodv32Wm1wn6F7zMWLiknweZ7GVYlYaPc2B\nfaLlaj9GkquPrqx75k1RXcx0YgEZ7i7cTseC+wfrD+DQzJSsCWNETikG48vIc15mdOraUWBL9ylO\ne4rYkJ/s48HBm13Z0zE6QOFkHR222/w2tBdCCCGEAZS6uoZwrtZDkLd14aQrUOnl4ByH4bbAjp8c\ngn/byLqTn4O6X8KWj0HW+oWPtevLh260JvFLlvgppaKUUoeUUieVUmeUUn/v3f5jpdQFpVSdUuop\npZTVu10ppf5VKXVJKXVKKbVhqa5ttXNPj1PY/AuK6r+PY8iAMrhzTJ54lovk8ej7/hBlMpH3xDeJ\nVdN0vPHfhsRvOH+cWDVNVP7GefsmEktJcffC1HBIsZ3HfkSEZ4rzee8lN8X3p1+enE1kqAEaG+p9\nHuNLz8gk9qNfY8icQvnDf+r32IRsfZrE6CJFV2b0H3sOt6ZIXed7FNEXS1oJFuWhp3XhZqsRXceo\nVwXk24Nr3D6XO2MdlaqFC+2zFk1PDZM81UJXbDkJUQaUkfbypOuVPcf7Wrh84DnMSiO+9iHD4gsh\nhBDCj5nEb/ao3HgfDDWHX0jG3xrChez7Box2crbyk/CXDfDAl30fa6vQvy+UtK5iSzniNw3cpWna\nWmAdcL9SaivwY6ACqAWigQ97j38AKPV+fRT4jyW8tlWt5djLROLEiovml580NPbkUC+FE6dps91B\nvPcNfEJ2BQ2WYtLbXjXkHMOX9N4qGVXzR55Mdr0k8GR7CIt9PR6m3vw2Rzxl3HXn2/wemlyqn7v/\nwptBn+bw3hfZrM7iuPnPUBH+m3yn5evPx9UTWIJpqn+JY1opGyqCny4Zn62fq7dp/vo7PG6yJs7T\nm1ATdjXM+KJNRCoXXZeuFnhxt+vTZpWvT95CFOut7Dnw+n/iOvs8A1o8tZvuNPQcQgghhPDBXg3T\nI9dOmWw/pn8PN/FL8yZ+vQt/YH2NkQ448B+w5nfosd8OsYu0dIpK1KeqhlM85jq0ZImfpptZuGT1\nfmmapr3g3acBh4Ac7zHvAH7o3XUASFJKZS7V9S2r7rPgcS9Z+NG6F5nUIjhENekXfgyuhaf2heL8\nG89gUR7Sbnr0mu39OfdQ6TpHT2f4c6XN3SeYIIrYzMp5+xLy9aH53hAqe2qXdhI/3sJLsY+wrdj/\nC0Jm2U16z7YFipQsxnr2V0wTge22Dy16bExiOkPEYxlqWDzwSAfpY+c5EbUFW0LwVTezy/RB9MnW\n+c+pr/EUMUyhcuaPsgYruURfI+hoOXplW89FvbCLrdy4puoA+Wu3s1vbQG7dt6gdfIULcVuIjoow\n9BxCCCGE8MHuLcI3u+1C+1FQJsgMvVgcALFpejXOQEb8dn9Zf299518HHt9WFV67iOvQ/MoWBlJK\nmYGjQAnwpKZpB2ftswK/B8zMhcsGZmcNbd5t13S3Vkp9FH1EELvdzu7du5fq8peEpe8st9Z9lqbk\nW2iu/Qs0U+i3YGxsbMHnX9LxOidM1RxLup/Ng//EkZ9/mbHs28O46qsiTv6KHi2JvnGuOfdEdDkm\npbH/2SdJrL4/rHOkD5+h2VpI95698/Z1j7mY0CLpqNtLg3V+YuhPwZF/IkZLwpO1kddff33x41Um\nlu6TQf0b6x0cYfvY65yJXs/I/iMBPSZdZRA1dGnR89jbX6ISaIpdF/K/+xLNhrv92LzHT557kQeA\nPi0p/P9TmsZNxGLtvHqelLpduLU0JgZ6Df8/27/lc/z7hf3cMvRrGlO3M71AfF//V8TykvuyMsl9\nWXnknqxMcl/A7JrgNqDhwG9o6dQ/lK49/QqRMbkcCfB9kD/rIjLh0iFO+Pl7jpju5+Zj/0179oNc\nOtkU8H0pnI4jt/cCe1/bGdb78evJkj5LTdPcwDqlVBLwK6VUjaZpM7X4vwXs0TRt/rt7/zG/A3wH\nYOPGjdodd9xh5CUvubofPIdHUxQM7iO3Oxnzu78HltBGKHbv3s3c5z/dc5nI3Z3U5b6P+x7+GE1P\nPkVOz2tkvP9vwr72kbExTLtOciH9bdx1193X7NM8t9P5D/9E/vgJ1t3hZ071InqGRknY1UR91nvm\nPTcAt0fj7OFsbJ4eioK59/2X8ew+zn+Z382n33cfkRbzog85dqyC/JE6soI4z0+/+w1saojhLb/H\nhgAfd/BYEYWjR1i7yPHDT/07rZ50tm5/gDtCbClw9GAJOdOt5M051+HTTzGsxfKOx57AYgn/ZaHh\nWCVFIw1U3L4ds0nRs+/jnDUX89gDd4Ude0EP3g18Dl8TSRf6vyKWn9yXlUnuy8oj92RlkvviVZdP\nUcyE/r5M0+BgI1Q8aMzfzcgmOP+8/1gnfgJ4yHnks+Rk1AR+X1J6oOUZttdk6y0ebgBvSVVPTdOG\ngF3A/QBKqb8F0oG/mHVYO5A768853m2rSnz76xylgr9zfgDzhefhyHcNjd96+DcAJK19gBJ7Igfj\n7iJ9+GTIxVBmO7H3eeLUJEnr3zFvnzKZaEzbTsX4EaYnRkI+x6nDrxOlnMT7aClgNil6I/NJmGgK\nKm7frm/h1kxEbvlQQEkfgDOtiix6GBrsC/g8aT1vMEkkhVsfXfxgL0diITatH9fkqJ+LmSSmbS+v\netaztTgt4NhzTSZXkO1uwzk9cc32lKHTtESVG5L0AUzb1lJKC009A2iTQ9ic7Yyl1Cz+QCGEEEJc\nX+w1V4ukDDXD5ED46/tmpJfDRL9eMMaXxr0Qk6pP3QzGzPE3UIGXpazqme4d6UMpFQ3cC5xXSn0Y\nuA94n6Zps2vlPwd8wFvdcyswrGla57zA17HJgU7yHZcYyb4d58aP0qzZGDy329BzaPU7adFs1Nbo\nYx9RJbdjxsPIxX1hx3ad28EkkRRtemDB/dG1jxClnFw68HzoJznxU6aJIH+L7wbc0wkFpLl7wTkZ\nWEyPh8hzv+BVNvHO7YG/EEXnrgWg/fzhgI53OR1smDrI+fhtWKLjAz6PKb0EgL4WPy0dTvwEq2eK\n0wnbSY+PDDj2XJasGsxKo7P+6hpJp2OKXFcz4ynVIcedK7ZgIxHKTceFo/Re1P/+ovIN+iUghBBC\niJXDXg399eCc0tf3gXGJ35UCLz7W+Wma3iy+4Fa9Z2FQscvAZLmhWjos5YhfJrBLKXUKOAy8omna\n88B/AnZgv1LqhFJqZg7iC0ADcAn4f8DHl/DalkXDIT0hSq69n//zUCWntFLMHUcXeVQQnJPkDh3i\nXOxmYr0VN/PWbMepmemtey2s0B6PRv7IEVri1qJ8NAEt3qBXU5xoPRXSOXr6+9ky9iqX0+9GRfvu\n9WZK0ytaTnZfCijudOcZ4t3DTObfFVQrgYyyzQCMNQdWSObSoRdJVSN4qt4Z8DkAYjP0F7XhNh8v\nPG4n2htf54RWSkzp9qBiz5VapBd46W+4WnGzvf4kEcqNJas2rNiz2Sv0qqiTTUfoO6NXe82rvsWw\n+EIIIYRYIezVoHmg97xe0dMSFfzomy+LtXQYbISRNii4LfjYlghILbmhKnsu2Ro/TdNOwfwlN5qm\nLXhOb5XPP16q61kJHBdeYUCLp3rjbURaLfQm1pIwug+G2yExtDVbs/Wdepk0pnGUXB2RqynMpI5i\n0tr3hxW7obmZEto4nfOYz2MS4hPpJA3LYAAVKhdw7tUfsV1NknCL/2qYcVnlcB56ms6Sn7N4stJx\ncieFgK0muPVl6Zl5DBCPqbtu8YMBz4H/YFCLo+zW4BK/tDx9Xvm0r5YOJ3+GGm7lG86/5Imy9KBi\nz5VXUs2kFoG782plz/7LxygAUovDr+g5IzKtgGEVT03jU2TRy2FVw4aCfMPiCyGEEGKFmKnseeBb\n0HoQMteC2aCevYk5YI313dKh0VsqpDDED8ZtVVdHKW8Ab8kaPwGax03e4EHq4zYRadX/M2jZ+htt\nV2tgUwkX03/0WUa0aNbcerWBtdVsoi1hPZnj58Ax4efR/rWf2AlAes3dfo/rseYQP9Ec0jnSLv6c\nNlM2OWvv8XucLV+fkjjWGVhDT8flN+jQUqipWRvU9SiTibaIYpJHFz/PSPMJqkbfZFfsg8THJwR1\nnoz0VLq0ZEwDl+fvdLvQ9n6N86qYHtvt3FNpDyr2XJERETSb84kZvDqt1N1ximnNSk6pcSN+KEVP\nXBVZ9HIs5UHsf/Q/mE3h9QcUQgghxAqUUqi3XTj1c72mxNr3GRdbKUgr9T3i17gH4uz6MaGwV+nr\nEqf91FlYRSTxe4s0nT1MKkNQcnXUyVa6kWnNwtDF4JuEz+NxY+/azfGIjeTbrp0mqeVvw4Kb0Uuh\nn0dr1ouW2Cu2+j1uNDYfm6NVn3MdhBO7fkG16wzthY/r/8n9yM3KoE9LwNMXwFRPTcM+eJQLkWtI\njAm+eupoYgU5ziY0t9Pvcd0vfJkxLQpnqe+1ib5YzCY6zNnEjjbN39m0FzXYyDenH+avH6rCZEDy\nNBBXSubU5Sv3KHbwHM2WfKxWY/vfFT7xdRyP/4gNf/IT8uyhF6QRQgghxApmMsPH3oS/OAefboSN\nf2Bs/PQK6FmgDoKmQdNeKLx90feOvmN7q3n2BdAkfhWQxO8t0lu3C4C8Dfdd2Vabb+Oclo+nLfw+\nJ/0X3iTJM8RU8X3z9mWvuRO3pug+Hdo6P03TyBo6RktMDcriv7CIK6mIBMaZHu0NOP75kwcp2f0n\nNJgLqXn0LxY9PspqptOcRdRI06LHTndfJMkzyGRmaI3DVWYNUcpJV6Pvik/uvgaKul/itbiHsCcH\nN9o3oyemhKypS/MK1kw1e/9tFG3n1lJjkidXehXJjDA+0AGaRtb0ZQbjygyJPZsls5qImkdCfzEW\nQgghxPUhIUv/Worf+fYqGO2AiYFrt/fVw1h3aOv7ZsysIfQ1lXSVkcTvLWLuPEovyWTkllzZlp8a\nw1lTGUmDZ8DtCit+x8Ff4tTMlN36rnn7aopyOEch5tbQ1vm1tLdTorUwlX3zosdG2PWh9t6mwErj\ndna2k/Cr9zNliiLxg88SG58U0OOGo3NJnmpd9LjW468AkFJ9Z0Bx50oq1Jep9l3yPf+77eVv4tJM\nxG7/3yGdA6DPfjuRTOO4dG1j+aHLB2n02PngPb461AUvZqZa6YUjDPa0kswILptxFT2FEEIIIQxj\n975HmVuEpe2Q/j3P/2w0v5ILwWTVC9PcACTxe4tkjNbRElONmlVqVinFUMpaIrSpsCsKpbTu5LS1\nlsKc+UViIi1mWuLWkjVWF1KC2XJ8JyalkVq9eHGUhGx9yHykPbD/QJd3/hdZ9DL5zu+Tml0U8DU5\nE4tI0wbwTI35Pc5xeS+9WiJVtaGVFc4tW49LMzHd4SOR1TTiGnZw0LSW229aE9I5AHJvehsTWiS9\nx35zzfaY3tPUaUXUZieGHHuuzLKbcGsK59kX6Lygv2jG5a0zLL4QQgghhGFmisfM7bfXfhQiEyA1\nxPV9AGaLXtlTpnoKo4wNdJHt6WTSNn/UxpqvtwxwNIde4KW/uY5sdxvDeff6PMaUtYZIHEz3BtYC\nYTbnuReZIoLsAMrxZ+aX4dTMOLt9VKicI7nlFZrM+eSuuSOoa7La9JHT3hY/vVc0DdvAES5E1pIQ\nHdr6tfjYWNpUBhGDCz8fZ+dpUl3d9GTejdUc+n+nLaVZHNBqiGl+9er6yLFeEhxddMZWEmUNrOl8\nILIys3gt+l5K236J59wL+raKTYbFF0IIIYQwTJxdb9A+t8p6+1HIWh98/7650st89wlcZSTxewu0\n1OmlZuOK5w9F5xdXMazFMNR0LOT4Tft+ocfa9rjPY2Jz9NGo7vrgznOq7jS3jr9MY9YjKGvUosen\nJMTShg3L0OItHYb7uyh3nKE7I/hpmInZFQD0+0n8pvqaSfP0MZGxOej4s/VEFZA80bjgvq5Dz+LR\nFCkb3h7WOaKsZlrTbiHZ0Xn1U6dOvX+gK8PY0TilFOmP/B0eTVHT+QwdpJOeHl61UCGEEEKIJaGU\nPt1z9oifc1L/c44BrajSyvV+gK5p/8eN9Ya9NGu5SeL3Fpi4fBC3piionT9itjYvmRbNxnTvwolF\nIOKaXqbeVERhcbnPY7JK1+DWFOOtp30es5D+HV8CpSh4198GdLxSit6IHOLHF2/pcGnfr7AoD4kb\nHg3qmgAyi/T53hNdvofmW0/qxWwSK24POv5sEwnFZLg70FyOefss9Ts4qZWwqaYirHMAxFY/CMDA\ncX2651jjYTyaIqFwQ9ix51pXXc3uJH09aGdUySJHCyGEEEIsI3sN9JwDj1v/c9dp8LggO7SlPNdI\nL9cb0Pcv0FZrtuc+Af8vtJoRK4Ukfm+B6J7jNJgLSEpKnrfPnhBFtymDqNGWkGIPdLdSOn2O3uy7\nUX4qKeXZ02gmA1Nv4GsJz545xa1jL3Eh+zGi0wJvvj0am0+6sx08Hr/Hmet30EsypeuCT8xSU1Lo\nJQk14HtkcbJhP+NaJGW1oVX0vCK9AituhtvnTAMYbidz/DznE28jPir8RqWb163lnCeX6XM7AJhs\nPkKDlkl5/vx1m0Yoe+xv6NaSGLSFNyIqhBBCCLGk7NXgnIDBJv3PM03XjUj80ryVzf0VeHG7oPlN\nyDb+w/i3kiR+S83jIW/yLD0JNT4PGYnJIcnRtWiitJD6N57BpDTsmx7ze5zVbKIjooDE0cDX+A28\n+E+4lYnid34+qGtyJRcTzTSu4Xafx7gdU5SOHuRS0q2YzcGvX1NK0WPNJnasyecxiX1HOW8pJzk+\nJuj4s8XmVAHQ13TtaOnQiecAMFc9GFb8GXmpMRyN3IJt8Bg0vUF07ylOaUVUZobWImIxRXk59H3k\nKJve+7kliS+EEEIIYYiZyp4z6/zaj0JCNsRnhB87rRRQ/gu8dJ6E6RG9Z+B1TBK/JdbXXEc8E7iz\nfM9BdsXnYsUJo51Bx7fW76BLpVNUs/io1khCGemujnm94hYyOjzATSM7OZP2IDFpucFdU7peXWnA\nz/q7hsM7iGUKU+VDQcWebSw2n3RH24L7PJMj5DgaGEwJvw1CRqG+PnKi/drR0slT/0Ojx8769WGO\nKM7SXvVRmrUMPD99H3GOXtqjK4iLtBgWf67qnLSQGtsLIYQQQrxl0itAma6u82s/atzomzUakvL8\nF3hp2qN/D6dn4Aogid8S667T+7Kllm/zeYw5tRAAZ9/iBVFmmxgfo2ryKG32O69pE+GLslVixsNk\n++I99i7t+m+ilYOYLb8f1DUBJOZ4Wzq0+R4yHz/1HONaJBXbHg46/gxPWgWpDDPYM39ksfPcPsxo\nWAt9/70HKsuWSpuWhrl/1gvCeB+2/oPstd5KiT0+7HPMeO/tNXzU9WmmXHplT6fBhV2EEEIIIa47\n1mi97UL3Gb2R+0CDMdM8Z6RX+B/xa9yrHxNnM+6cy0ASv6WkaSTW/YBGLZPiSt8jTzEZenGNoY7A\nWiDMmGzYS5RyYtv2uwEdH5evN+7uaTix6LHx55+mkWzKNwS/iDUrr5AxLQp3l49CMh4POT27qYve\nSGJ86ElTfIH+SU/buQPz9g2c34NHU+StCX9I3mxSdFrziBu9mpiPHH8WMx7cVY/6XVsZrPzUWO65\n9WZ+f+LPed69lfhCA6pVCSGEEEJc7+zV0HYEdnoLDhqa+JVBX/3V4jGzuRzQsv+6n+YJkvgtqd4T\nvyVnup7ThR8kKsJ38Y+0rGI8mmK8e5FqQrNomkZp/2u0mnPJqw3sH2JOUQ3TmpWptlN+j5vsPE/J\nVB31We/AFEJvOntCDMeoILVn/4L7++oPkqYNMF7wtqBjz5ZbdTMA4wu0wojoOMIllUtBdmZY55gx\nHFuE3dFyZR3m6JGfc9mTye23GV/d6RN3ldAUt5ZPOP83lTnphscXQgghhLjuZG+EsS44/iPI2mBs\n4pdWDu7pq8VjZus4pheWuc6neYIkfktqYudX6dBS2fT2P/R7XJ4tiQ5S8fQH3tKh/uwJ1nCRnuLH\n9P4mAchLi+cS2Vj6/FQtAtp3fxeXZiJ12wcCvp7ZTCZFa/JW0qZbYah13v6uQ8/i1hR5W98ZUvwZ\niSlpdCg7Eb1zRhY9brLH6uiIX2PYaJwrpZQoHDgHmtFGu8gYOsaRuDsothk3zXNGXKSFv3m4iqzE\nKNbkJhoeXwghhBDiurPlD+HjB+GvO+CjuyAi1rjY6d62XAtV9mzcCygouNW48y0TSfyWyPD518kf\nP8mhzN8lM8X/m/f0uEjaNRvW0flJki/de57CpZkovefDAT/GbFJ0RhaRPO6nsqfHTerlZ9lvWse6\nqtB700WW3Q3A0JmX5+1LbN3JaVMlxfl5Icef0RVTjm382jnZw00niGMCd7ZxbQois7yVPRtP0bn/\nacx4iF7/bsPiz/XI2ize/OzdJBjQJkIIIYQQ4rpntoKtQl/vZzSb9z1v9wJtz5r2QEYNxKQYf963\nmCR+S2TwhS/QqyVQ+8gnFj3WZFIMRmYSP+m7/cFs0w4HZd3Pc9K6jgRbcBU3J5PKSHH36wtjF+C4\nuJNkVx+tee/EbAp9tKx63RZ6tCSGz+y89tp7G8h1NNCZeZcho3GO9BpytE6Gh/qvbGs7+gIAtrXh\nTSWdLaWgFoCog98k/tDXqddy2H7L9T/XWwghhBDihhcZD8kF0DOnAKLHDW1HIXfrslyW0STxWwI9\np3ZSMHKYfRm/R3F2YNV/JmNzSXL3B9Rq4cirv8TOAD2ZdwV9bcrbB2WsbeHCK/37vs+gFkf+zf77\nAi6mIjOBI6Y1pHS/eU1/wtYDzwKQvP4dYcWfEZOvF81pPXvoyjZL0+tcJoeq8tBHLOcqyM6hxZNO\nfN9xTkxn8VLRZ0mMkdE4IYQQQohVwV5ztV3EjN4L4ByHnNVRbE8SvyUwtOMf6NGS2PI7nwr4MZ7k\nAgC0wWa/x2mahvnY9xlQSUQXBP/pQ1KhXtmz//Lx+TsnB0lre4UX1W1sLg2vKIpSisGMW4h3D+Hp\nqru6vf5lGrQs1q0zZkFuVqX+dzDaeAQAj2OS/PGTtCZvCWvEcq7EGCsfj/kqd/JfNDzwY/7od58w\nLLYQQgghhFhm9mrov3TtIEz7Uf27kYVklpEkfga7cOC3lE2e5EzRh8lMDXwucGSa3stvpNPP+jvg\n1NmzbHIcoqPwMX2uc5Dy80sY1mJwdMzv5ec8+QusmpOe4sexhlDNc67E6nsB6Dn5or7BMUHuyDHO\nx20hymoOOz5AWkYefSRh7tZHMJtP7CIKB9bS4EdDF/Pdjz/I8595O7+/rQCLAX8/QgghhBBihbBX\ng+a5tsBL+1GITISU4uW7LgPJu1eDTez5d7pJYcu7/zyoxyVmlwIwvEgvv7ZXv41SUHz/H4d0fdnJ\nMdSTR+TA/KpFE4d+yDlPHms3GVOudmNtNRc8OWjnf6vHv7iLCJxM5hublHVEl5E2pj+fgdMv4dTM\nlG2539BzANgTokiMlumdQgghhBCrjr1G/z57umf7UcheD6bVkTKtjmexgpR//GeMvuvHxMTEBfW4\nzMxcJrRIHH0NPo9pHxhlQ/9vaEzcQrQttE8eTCZFT3QxqROXQdOu7uirJ3HgNM+b7mBbiTG94zIS\no9gTczeZwyeg5xwDJ3cwoUWStfZuQ+LPmEytIc/dStOlsyR17eOCtYL0FnfdPQAAC5pJREFU1DRD\nzyGEEEIIIVax5AKwxlxN/JyT+s+rZJonSOJnuJi4RErWbAv6cTkpsbRoNtRCjSO9zr7xHJlqgPht\nHwnjCmEquZxYbRxGrlYRdZ18Gg+K8dJ3EGEx7p+Fe837mdYsjL/5HWJbdnFAq2JdYYZh8QEyt72H\nKRVJ2n/fRaHjEkMZwf/9CyGEEEKIG5jJDLZK6PbWpug8BZpbEj9hvCirmQ5zNvFjvpu4aw2v48CC\nbcNDYZ3LmqUPZY80n/QG1pg6/jQH3ZXcvXltWLHnumdjNTs8m4k89WOSp9u4lLCV6Ahj1vfNyKva\nyuQH99AUWYpJaaSuf7uh8YUQQgghxA3AXg1ddfqsuFVW2AUk8VtRhmKLSHW0g2t63j5N08gaOkpb\ndGXYjStTvZU9B5u8iV/nSeLGmtgTuZ1txcZOkSyxxfFG0juwePTn5C6+19D4M9Lzyqj49C4a3r+f\nypukv54QQgghhAiSvQYmB2CsW0/8ErIh3tiZastJEr8VREsrw4wHT9/8yp6X27qo0BqYyr457PMU\n5ebQoaXg6tSHsseO/gyHZiZ+fXhN230puekeznlyueTJoqKy1vD4MywWC0WlVUsWXwghhBBCrGLe\nfte8/hVofH1VjfaBJH4rSmy2nrT0N9XN29d8/DUsykNadfgVMe0JkTSoPKIHL4LHjVb3LHs8a3h4\n69IkZY+sy+Yjzk/xEdcnuakgeUnOIYQQQgghRFjs1WCOhCNP6dM9a9+93FdkKMtyX4C4ylZUi+cN\nxUhrHelb33PNPlfjG7gwk14VfqsFpRR9MSVsmfgftGc+RPx0N6fSPsI9qTFhx15IdlI0OYXlTDk9\nJERJOwQhhBBCCLECRSfDJw7ry6ribMt9NYaTxG8FKcux0a6l4e65tseepmlkDB6hLaqcgsjg2kT4\n4kitwDrxSzjzK77kfB/V258wJK4v3/7djbg8niU9hxBCCCGEEGFJzl/uK1gyMtVzBYmLtNBqySNm\n5PI12xs6eqnSLjORtdWwc6n8W7jsyeRTzj9kavMnePvaLMNiLyQxxkpqXOSSnkMIIYQQQgixMEn8\nVpjRuCJs0y3gcV/Z1nh8F1blJsWA9X0z8orKudvxNRw17+PvHqlGKeOLugghhBBCCCFWBpnqucJ4\n0sqIGHHi6GsiwlYMgPvyLlyYsVcb16Zgc2EKP/zgZm4uTsW0BJU8hRBCCCGEECuHjPitMDOVPbsb\n9R57Ho9G7uABWmKqUVGJhp1HKcXtZelYzfJPQAghhBBCiNVO3vWvMBklawAYadFbOlxoaKSKRqby\nti/nZQkhhBBCCCGuY5L4rTAF2Tn0aEm4ey4A0HHsBQAyNjy0nJclhBBCCCGEuI5J4rfCRFhMdFhy\nSRi+qP+5eTcjKp6Uks3LfGVCCCGEEEKI65UkfitQa+otFDgu0rjr+5SPHaElcTOYzMt9WUIIIYQQ\nQojrlCR+K9DG932OU6qCrN2fwqYGocS4Ng5CCCGEEEKIG48kfitQZnI8ib/7PRzKCkDepoeX+YqE\nEEIIIYQQ1zPp47dC5RdX0fnwtxm4vJd8e8FyX44QQgghhBDiOiaJ3wqWufHtsPHty30ZQgghhBBC\niOucTPUUQgghhBBCiFVOEj8hhBBCCCGEWOUk8RNCCCGEEEKIVU4SPyGEEEIIIYRY5STxE0IIIYQQ\nQohVThI/IYQQQgghhFjlJPETQgghhBBCiFVOEj8hhBBCCCGEWOUk8RNCCCGEEEKIVU4SPyGEEEII\nIYRY5STxE0IIIYQQQohVThI/IYQQQgghhFjlJPETQgghhBBCiFVOaZq23NcQMqVUL9C83NexjNKA\nvuW+CHENuScrk9yXlUnuy8ok92XlkXuyMsl9WZluxPuSr2la+mIHXdeJ341OKXVE07SNy30d4iq5\nJyuT3JeVSe7LyiT3ZeWRe7IyyX1ZmeS++CZTPYUQQgghhBBilZPETwghhBBCCCFWOUn8rm/fWe4L\nEPPIPVmZ5L6sTHJfVia5LyuP3JOVSe7LyiT3xQdZ4yeEEEIIIYQQq5yM+AkhhBBCCCHEKieJ3wqi\nlHpKKdWjlKqbtW2tUmq/Uuq0Uuo3SqmEWfvWePed8e6P8m7/olKqVSk1thzPY7Ux8L7sVkpdUEqd\n8H7ZluP5rAYG3pP3KKVOebd/ZTmey2oSzH1RSr1/1v+FE0opj1JqnXffi0qpk9778p9KKfNyPafV\nwIj7opSKn7O9Tyn1jeV7Vte/IO+LVSn1A+/2c0qpz/qLI0Jj4D1p8m4/oZQ6shzPZTUx8L78qVKq\nzvu75c+W47ksO03T5GuFfAG3AxuAulnbDgPbvT9/EPiC92cLcApY6/1zKmD2/rwVyATGlvs5rYYv\nA+/LbmDjcj+f1fBlxD3xfm8B0r3bfwDcvdzP7Xr+Cua+zHlcLXB51p8TvN8V8Azw3uV+btfzl1H3\nZc6+o8Dty/3cruevIF/HngB+5v05BmgCC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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f4af1a43ba8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"predicted = list(holt_winters(train.values, 0.5, 0.5, 0.5, len(test)))\n", | |
"\n", | |
"plt.title('Real vs Predicted data (Holt-Winters)')\n", | |
"plt.plot(data, '-', label='Real data')\n", | |
"plt.plot_date(data.index, predicted, '-', label=\"Model (0.5)\")\n", | |
"plt.ylabel('CO2, ppm')\n", | |
"plt.legend()\n", | |
"\n", | |
"rmse = sklearn.metrics.mean_squared_error(predicted[len(train):], test)\n", | |
"print(f'RMSE = {rmse}')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"collapsed": true | |
}, | |
"source": [ | |
"Получилось не очень хорошо.\n", | |
"\n", | |
"Что ж, давайте обучить нашу модель. Для этого будем минимизировать RMSE с помощью алгоритма SLSQP." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def loss_function(x, data, splitter, history):\n", | |
" alpha, beta, gamma = x\n", | |
" split = len(data) * 2 // 3\n", | |
" train = data[:split]\n", | |
" test = data[split:]\n", | |
" predicted = list(holt_winters(train, alpha, beta, gamma, len(test)))[len(train):]\n", | |
" actual = test\n", | |
" error = sklearn.metrics.mean_squared_error(predicted, actual)\n", | |
" history.append(error)\n", | |
" return error" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": false | |
}, | |
"outputs": [], | |
"source": [ | |
"history = []\n", | |
"result = scipy.optimize.minimize(\n", | |
" loss_function,\n", | |
" [0, 0, 0],\n", | |
" args=(data, sklearn.model_selection.TimeSeriesSplit(3), history),\n", | |
" method=\"SLSQP\",\n", | |
" bounds=((0, 1), (0, 1), (0, 1))\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"RMSE = 0.23571761808371694\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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KWa5STo+wwcu+ono+FJWHwcKSG8fdr14dkVks8JZwrqPrfNmB4kZWk8+58IUQ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gAAAg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\nmZPETwghhBBCCCGWuf8LOQZX2EncwMAAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f4af16c6fd0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"predicted = list(holt_winters(train.values, *result.x, n_preds=len(test)))\n", | |
"\n", | |
"plt.title('Real vs Predicted data (optimized Holt-Winters)')\n", | |
"plt.plot(data, '-', label='Real data')\n", | |
"plt.plot_date(data.index, predicted, '-', label=\"Model\")\n", | |
"plt.ylabel('CO2, ppm')\n", | |
"plt.legend()\n", | |
"\n", | |
"rmse = sklearn.metrics.mean_squared_error(predicted[len(train):], test)\n", | |
"print(f'RMSE = {rmse}')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Ну вот, совсем другое дело!\n", | |
"\n", | |
"И теперь сделаем подсчет наивным методом:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"RMSE = 93.26053249999998\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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XLVx/8VI2r8sedn7F6fdpbO9h8+ZNXo332pFKYA+3X7WWtT60RbDW8uD7r+OK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\n9qC7jQAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f4af0693390>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"predicted = data.copy()\n", | |
"predicted[-len(test):] = predicted[-len(test) - 12:-len(test)].tolist() * (len(test) // 12)\n", | |
"\n", | |
"plt.title('Real vs Predicted data (naive method)')\n", | |
"plt.plot(data, '-', label='Real data')\n", | |
"plt.plot_date(data.index, predicted, '-', label=\"Model\")\n", | |
"plt.ylabel('CO2, ppm')\n", | |
"plt.legend()\n", | |
"\n", | |
"rmse = sklearn.metrics.mean_squared_error(predicted[len(train):], test)\n", | |
"print(f'RMSE = {rmse}')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"По итогам эксперимента побеждает Хольт-Винтерс с оптимизированными константами и $\\mathrm{RMSE}=0.2$ (что, в прочем, ожидаемо). Если вспомнить, что мы не так давно выяснили стандартное отклонение очищенных данных ($0.37\\mathrm{ppm}$), станет ясно, что Хольт-Винтерс с оптимизированными константами — единственный метод из опробованных, который подходит для предсказания результатов на подобных данных: остальные дают слишком большую ошибку. Более того, уменьшение периода предсказания с десяти лет до одного года не изменит ситуации." | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 - ml", | |
"language": "python", | |
"name": "ml" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.1" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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