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JCgvjP9u3b79+/X2h3tjGxfv169VdiZmYWFBQ0adIk8umcPn2abH6+fv2ak5NjbW1doUKFOnXqeHp69uzZEzMsAOgtPexqUNqCQikpKVJ1rY2NTY8ePXx9fUnJi6sO9Ie5ufkeEU0nYnDkyBHy9cvKyhL/OWrUqDVr1hgbG2s2K40rXbr0aBFNJwIAukxbuhqUtkDPxMTEy8uLlBTdu3e3sLDQdDqgp1auXDl9+nTx3Qxkz2rx4sVTp07VdFIAACAsKG1BIUNDw2bNmvn5+fXr169MmTKaTgf0FylnJ02atGbNGvGfVlZWERERv/76q2az0nmsDFmAwRAAgGcobUGhypUr37hxQ9NZgL7LzMz08fGR3ORboUKF48eP4yJvAACQC6UtAAhXYmJi165d79y5I/7T1dX1n3/+ITtdms0KAAAEC6UtAAjUmzdvOnXq9O7dO/GfHh4eR48eLV26tEaTAgAAQUNpCwBCdOvWrW7dun379k38Z9++fXfs2GFmZqbZrAAAQOBQ2gKAELVr1y4zM1Py5z4RFtePO5kAAHQSSlsAEKLidS0AAABDKG0BAAAAQEegtAUAEJz8/Px79+49F3nx4sXHjx/T/ic3N9fKysra2trBwaFatWo1a9Zs3rx5ixYt7O3tNZ01AGgZnexqUNoC6Kns7Oz79+/fvXv34cOHHz58ID1aUlJSZmYmWW5iYmJhYWEuYmtrW16E9G6urq4NGjSoV6+e1O1c6enpI0aMkFwLGxwcHBAQoIn/k9Yjn8LJkyf//fffCxcukHdVUZh4wxMfH//gwQPJwsaNG/fr169///4VKlTgI1cA0Fq63dWgtAXQL1+/ft2/fz/p1C5fvkyqWLkxuSLix3FxcY8fPy7+LCl8f/rpp+7du/fs2bNOnTpPnjzp06fPy5cvJQHkWe7y10lFRUXkE1m3bh3Z0qh8f9ttkcDAQLLJ8ff3Jx8Nu0kCgLbTk64GpS2AXiA92rFjxzZs2HDmzJmCggJ1ViU+gUXMmTOnZs2aZO8/JyeneAArpa2ejGBA/ptbt25duHDhhw8fWFlhXl7ejh07du/ePWbMmAULFmh8GGA9+RwBBE7nu5riUNoC6DhSyG7ZsmXJkiVv3rxhfeWvX7+WWmJra1uxYkXWG9JJp06d+uOPP54+fcr6msmHvmbNmoMHD5INT5s2bVhfPwBoEX3ralDaAuiyw4cPBwYGvnr1ircW3dzceGtLe3379m3UqFFHjhyhjaxdu3bXrl1btmxJ3tgyZcqULFkyMzPz06dPz549O3/+/IEDBxITExW9Nj4+vkOHDsHBwf7+/mxmDwBaQj+7GpS2ALopNjZ23LhxJ0+epIgxMTHx9PT85ZdfSHdWuXJl0p3Z2trm5+dnZGSQrur169dRUVHHjx9Xal8fF9rSOnr0KNnYUGwnxH777bcpU6a0atVKarmNjY2LSM+ePVeuXLl9+/bZs2cnJCTIXUlhYWFAQABpa8mSJexkDwBaQm+7GpS2ADooIiJi7NixaWlpigIqVKgwevRo0us5ODhIPWUmQmpcV1fXX3/9leyIX7lyZdWqVYcOHSoqKqJtGkdtKZA30N/ff9myZdRhZPcgLCxMdksjy9TUdMSIEd27d/fz8ztz5oyiMNIiiSQfpdIZA4AW0vOuBqUtgE7JyckZN27c1q1bFQWYmJhMmjRp7ty51tbWDNfZSuTu3btjxowh/1IH46itIpmZmb6+vkePHqUOmzhx4tKlS8nmgfma7e3tT5w44ePjQ3Y/FMUsWrSoRo0aw4YNY75aANBG6GpQ2gLojsTERLJXffPmTUUBpMc5cOCAatVno0aNoqKiSpYsmZWVpSjG0NAQR23lSklJ6dChA/WOgZmZ2Y4dO/r27avC+skey+7duz08PO7cuaMoZsKECc2bN3d1dVVh/QCgFdDVGKC0BdAZMTEx7dq1e//+vaIALy+vPXv2qDNES2xsLEVdS1SrVs3Kykrl9euqjIyMzp07U29srK2tDx06RLZJKrdibm6+a9eu+vXrS43FJpGdnT1w4MBbt24ZGxur3AoACBa6GjGUtgC64O3bt23btiWlp6IAPz+/bdu2GRkZqdNK8Qlp5MLVCLJIL+/t7U16eYoYU1PTY8eOqT90Tq1ataZMmbJo0SJFAffu3du4ceOYMWPUbAgAhAZdjQRKW4D/XJn06tUrUh2+f/8+Li7u8+fPiYmJ3759+/HjR1paGukv8vPzCwoKTExMxHPPWlhY2Nvbly1blvxbpUqVmiJ169a1s7PTSP6fPn2irmvJDjSpaw0NDdVs6OHDh9QBKG1ljRgx4vLly9QxmzdvZmtIyOnTp4eFhZGvtKKA+fPnDxo0CAfXAQy0v/MvDl2NBEpb0F8LFiwge5akXPvw4QOTe//zRMTTbZNqUjagRo0azZo1a9WqFdl1lh15gCOpqamdO3emqGu7dOnCSl1rwKC0xYW2UlatWhUREUEdM2PGDD8/P7ZaJJvY3r1779ixQ1FAfHw82bxNnDiRrRYBtI5udP7FoaspDqUt6K+goCB2V/hGZNeuXaSOdHd3J50I2WctVaoUu61IIa08efJE0bMuLi579uxhpa41wFFbJUVFRU2fPp06hnxP/vrrL3bb9fX1pdjeEGvXrkVpC/pMNzp/CXQ1UlDaArCvqKjotkhgYCDp42bPns3R3LPLli2jmJTBysrqyJEjNjY2rLSVlpYWExNDEWBtbV29enVW2tIBOTk5gwcPzsvLo4ixsLCIiIgwMWG5H/b09CSfRUZGhqKAly9fXr161cPDg912AYC3zl8CXY0slLYAHMrMzNywYQPZr/3999/nzJnD7lVH0dHRM2fOpAgIDg6uVasWW809fPiQ+sxd3bp12To8rAPmzZv3+vVr6hh/f/8aNWqw3rSZmVnjxo0vXbpEEXP48GGUtgDc4bTzLw5djSyUtgCcy87OXrx4MfmF79q1i3QErKwzJSWlX79+FHvqpDchXSorbYnhagTmHj9+vHTpUuqYKlWqBAQEcJSAu7s79fbm6NGjy5cv56h1ABDjovMvDl2NXChtAf4zU3aDBg3c3NyqVavm7OxMOoKyZctaWlqS/Wzyb2FhYW5ubk5OTnp6ekJCQmJiYkxMzHORqKgo8Y0FTJAd65YtW65Zs2bkyJHq5zxlypQPHz4oetbIyGj16tXqt1IcSlvm/P398/PzqWMWLFhgYWHBUQIuLi7UAe/fv4+Nja1UqRJHCQBoBW3s/ItDVyMXSlvQF8OHD5daYmpqSvY4W7RoQf3jJGWiiYkJ6elsbW2lfp8FBQV37949dOjQ7t275d42K4X0QaNHjyZd5KxZs1T4L0iQRqkv3h8yZAjrgxVgeASGrl+//u+//1LHkO3ogAEDuMuByUXP0dHRKG1BH+hS518cuhpFUNqCvti4cSPr6zQ2Nm4iEhISsm/fPrJz/OzZM9pX/fnnn6VKlZowYYLK7U6aNInisleyg04yUXnlchUWFlKMwyCGo7Zi5POljQkMDFRz+gxq5cuXp40hG+ZevXpxlwOAQOhS5y+1NtoY/exqUNoCsMDQ0LBfv359+vQh3dz8+fOpb1Y1EF1OULNmTS8vLxXaioyMvHHjBkXAoEGDKlSooMKaKbx69Yp6il0nJydbW1t2G9VG0dHR1FeeGYjGg2RxdEm57O3taWPevXvHaQ4A+oDPzr84dDUUUNoCsIbsHM+aNatVq1a//vpramoqRWRBQcHQoUOfP3+u7MCHOTk51DcEkBxoBzhUAS60ZSg8PJw2ZuDAgebm5pymweR27I8fP3KaA4D+4KHzl4KuhgJKWwCWeXh4nD9/nvRxFDMQGohmapk2bdqmTZuUWvnWrVupu4muXbtyMcgLSlsmyCZt7969tGGjRo3iOhMm27PPnz9znQaAXuG08y8OXQ01lLYA7GvYsOGWLVt8fHyow0idSjo4V1dXhqstLCykHedl6NChDNemlAcPHlAHoLQldu3aRX3ZBlG/fn3mn7jKmAwwzPz+bgBgiKPOXwq6GmoobQE40bdv3z179hw9epQipqioKDg4eOfOnQzXeezYMeqLluzt7b29vZXIkjEMj8DEwYMHaWN69uzJQya0mz0D0ZDyPGQCoG+46PyloKuhhtIWgCvLli07fvx4YWEhRUxkZOTSpUuZ3GRqwOA+X9Klsj6VIvHt27cvX75QBJiZmdGObqjzUlJSrl27RhvGz/YmOzubNiY3N5eHTAD0EOudf3HoamihtAXgSrVq1X799dcjR45QxBQUFOzbt2/ixIm0a4uLi6MdwrBbt25KZcgQ7SFbUtdyUVJrl5MnT9KOne7s7Fy3bl0ekmGyvbG0tOQhEwA9xG7nLwVdDS193xoBcMrX15e6dyP27t3LpHcjnSD1MQBra+s2bdoolR5DuNCWiTNnztDGtGrViodMiOTkZNoY8oXhIRMA/cRi5y8FXQ0tlLYAHPLy8jI1NaUe6TA6OjozM5N2CJUDBw5QB5C61szMTOkUGcDwCExERUXRxnh6evKQiQGzW5JR2gJwh8XOXwq6GloobQE4VKJECTc3t3v37lHE5Ofnkw6udevWFDFfv369desWdVvc7aajtKWVkpLy5s0b2jAPDw8ekiGor40WK126NPeJAOgptjp/KehqmEBpC8CtRo0aUfduBClbqXu3c+fOUcysK9aiRQtlc2MiLy/vxYsX1DEYHuH27du0H5C1tTUXQw7LxeRQSpUqVXjIBEBvsdL5S0FXwwRKWwBuMRk6gHYvnJS21AFmZmbu7u5KpMXY06dPqc+p2dvbsz6vr9Yh7xJtDA9jTErQ7o0YiG404T4RAP3FSucvBV0NEyhtAbhVrVo12piYmBjqgOvXr1MH1KpVS1MX2uKQrQGDT5Dg54ZlsSdPntDGoLQF4BQrnb8K8ehqUNoCcKtixYq0MdRz56amptLu2depU0e5tBjDhbZMMNne1K5dm/tE/qOoqOj58+e0YXxu/wD0kPqdvyx0NUygtAXgVpkyZWhjfvz4QfHs3bt3adeA0lazPnz4QBvj6OjIQyYGolOEtINNGhoaNm7cmJ98APST+p2/LHQ1TKC0BeCWra0tbQz1PIRMLmZicuZLNShtmUhJSaGNcXBw4D6R/7h06RJtjIuLS8mSJbnPBUB/qd/5y0JXwwRKWwBumZub08ZQT8P9+vVr2jVwdCNXXFxcUlISRYCRkRHOaxMZGRm0MYLa3jRt2pT7RAD0mvqdvyx0NUygtAXgFpO7u0iBSPHs+/fvadfAUWlLe8i2Ro0aFhYWXDStXZgcemFydpIVly9fpo3x8vLiIRMAfaZ+5y8LXQ0TKG0BuFVQUEAbQz0bTXx8PO0a7O3tlciJMVyNwBCTidT52QeIiopKSEigjjE1Ne3cuTMPyQDoM/U7f1noaphAaQvArbS0NNoY6t6Ntvsw4KwvQ2nLEOnBc3JyqGP42d7QTshMtG7dGhfaAnBN/c5fFroaJlDaAnArPT2dNqZs2bIUz6amptKugaO+7MGDB9QBKG3FyPZJi7Y3vXr14iETAD2nfucvC10NEyhtAbjFpHejHtGayRkoLuZryMzMfPv2LXUMSlsxa2vr5ORk6hhlL6pTwdWrV2mHySSp9u/fn+tMAED9zl8WuhomUNoCcItJ70Y9xTbtPro4hsnduEp5/PhxYWEhRYCNjQ1mtBJzdHSMi4ujjsnNzWX9M5ISHh5OG0M2NuSD4zQNADBgo/OXha6GCZS2oOPMzMzy8/PFjwcMGLBr1y6eE3j37h1tDPVctYaGhrRryMjIYL0vo73Qtl69euy2qL0qV64cHR1NHZOVlcXp9ub79+8HDx6kDRs9ejR3OQAIhw50/rLQ1TCB0hZ0nJWVlWS6l2vXrvGfAJMJF6hH/rO0tKTd+//69audnZ1ymdHBhbbMMZky49u3b6VLl+YuhzVr1uTm5lLHtGvXrlGjRtzlACAcOtD5y0JXwwRKW9BxxXu3jx8/fvr0ycnJic8EaKfYtrGxoZ71gPwXaEvb2NhYV1dXpZOjhOERmGPSiSckJNSoUYOjBMiXfOXKlbRhCxYs4CgBAKHRgc5fFroaJlDago6TGlrl6tWrPj4+fCbw8uVL6gAvLy/qSw7Kly9PO/7X06dPO3bsqHRylB4/fkwdgNJWwt3dnTbm3bt3LVq04CiBsLAw2hk4O3fu3KxZM44SABAaHej8ZaGrYQKlLeg4qd7t2rVrfPZuaWlpz549o47p2bMndYCTkxNtlXnz5s0pU6YolxwlkjbtoWJlrxLTYVWrVq1UqVJsbCxFDO12TmVfvnxZsmQJdYypqWloaChHCQAIkA50/rLQ1TCB0hZ0nGzvxmfrFy5ckNzHIJe1tXXXrl2pV1KzZs3Tp0/TNlRQUGBsbKx0ivKQnf5ff/2VOqZy5coY9r848o6tWbOGIuD27dscNT19+nTaweH9/f1x2x/oFR3o/OVCV0MLpS3oOKne7cmTJz9+/OCtJtuzZw91wJAhQ2iHR6lfvz5tQ0lJSWfOnGFlSsNHjx516tSJdnZfXI0gpUePHtTbm6ioKBZ3PyTOnz9P+zWrVavW7Nmz2W0XQOB0oPOXC10NLZS2oOOkerfCwsIbN26Q0o2HphMSEo4cOUIRYGhoOGnSJNr1NG7cmElzpLNTv7S9fv26t7c3k/nPUNpKadu2bfXq1SkmuSCb1WvXrnl6erLY6Ldv3wYNGkQdY2pqum3bNq7HuQQQGh3o/OVCV0MLpS3oONkZuslvnp/ebeHChdQjpAwdOpTJfaxubm4ODg60h1H/+eefe/fuNWzYULksi4mIiBg5cmRWVhaTYJS2ssaNGzdt2jSKAPIOs7u9IV+hL1++UMcsX74cd4+BHtKBzl8RdDXUUNqCjpPbu/HQ7rNnz9avX08RUKpUqZCQEIZr69Kly5YtW6hjioqKJkyYQP53KsyySHrhqVOnrl27lvlLUNrKIjsGixYtSkxMVBQQGRm5ZMkStk6Jzpgx4+TJk9Qxvr6+48ePZ6U5AO2iG52/XOhqqKG0BR0n27vdvn07Ly/P1NSUu0ZzcnL69+9PWqGIITu4ZcuWZbjCQYMG0Za2BqJLrGbPnh0cHMxwtWK3bt0aNmxY8SEYHR0dP3/+TPESCwuLWrVqKdWKPihRosScOXMmTpyoKCAtLW3lypUkRv22Vq9evWzZMuoYT0/PjRs3qt8WgDbSjc5fLnQ11FDago6T7d2ysrLu3r3L3XmTwsJC0rVRD9dFStWhQ4cyX2erVq1cXFyYzG1DduVtbGwCAwOZrDY+Pn7u3LmbNm0iOUsW/vTTT6Q+7tu3L8ULXV1dVTg2rA9Gjx69efNmioncFi9eTD59Z2dndVr5+++/p06dSh1DvuEnTpwgOyHqNASgvXSj81cEXQ0FlLb/1aVLF7Jfwvp8TqBxsr2bgei0FEe9G+k6SW9CfQNBkyZN1q1bp+yaSbU6ePBgJpGzZs26c+dOWFgYxdQ7r1+/Dg8PX79+fWZmplRup0+f3rlzJ3UTuBpBERMTkx07dri7uyu60o684X5+fhcvXlT50BGTA/MkgX/++cfa2lq1JgB0gM50/nKhq6GA0va/yOb87NmzZDdo3rx5ZcqU0XQ6wBq5vdvq1asrVarUt29fZWeCoUZ21gcOHPjo0SOKmAYNGpAvm6WlpbIr9/X1XbJkyZMnT5gEHz58+NSpU2SHrUePHqTrcXR0NDc3T0hIiImJuXz58pkzZ65fv15UVCT1KhIfGRlZokQJTLGrjnr16pH9ijFjxigKuHHjxtChQ8lmSdkj34mJieQLRj4+6rDu3bvv3r1bhe8YgC7Rmc5fEXQ1iqC0/T8FBQVr164ln9PcuXMnTpyI8626QW7v9vHjx/79+5Nd0vHjx5P9Wnt7ezVb+fLlS2ho6Jo1a8i3iCKsZcuWZJ++dOnSKjRBvpDh4eEeHh6yJalcOTk5h0UYrp9851esWCH+2lOc5BJDaUtt1KhRb968Wbp0qaKAiIiI9PR0sslhfp/H9u3bAwICvn79Sh02ffp08lVkd7MNoI10pvOngK5GLiGWtrGxseQbcOnSpefPn5MvDflULCwsypcv7+bm1rlzZ7KzxfqXo7jU1NQpU6bs2rVrw4YNP//8M3cNAT/k9m5ib9++nTp1qr+/f/v27b29vb28vKpXr67UynNzc8+dOxcZGblv3z7qoV6IESNGkO5PnTsYWrRoMWvWrIULF6q8BrnMzc1Xrlw5evRo8Z+kg3769Cn1S1Da0lq8eDH5SoSFhSkKOHbsGOnTFi1a1K9fP4od6by8PNIfkrXdvXuXusVy5cqtX7/+t99+Uz1pAB2iS50/BXQ1soRV2sbFxU2bNu3QoUNSez8ZGRnvRI4ePTpjxozJkyfPnDlTtWGBk5OTybdZ/LhUqVKK9nXIR9ukSZNJkybNnz+f4uehn7Kzs8n+XHx8vKJ/mazExsbGQYTstEj+Lf4nW8M+0358+fn5p0XIY7LX1PB/qlat6uTkRJaQNRQVFZH/dVZWVlJS0qdPn8je15MnT8iX5Pbt22TXizYH8t8h/U6fPn3U/+/MmzeP1J3Mj8XSqlWr1t69e4tPePby5cucnBzqVzVu3PiXX37x8PAg/9atW5etZHQM2WEoW7ZsUFBQ8bv0iiNfJF9f38DAQLLJadOmTZ06dUi8mZkZ+ZolJCSQL9i1a9dIp0cxxI9Ejx49yMZG/UNQADpDxzp/CuhqpAiotF2xYsWcOXNIFUsdlpaWtmDBgoiIiHXr1pH9LWVbIS/cvHmz+HHxb1vlypU/fvxYPJKU18uXLye7O7t27SJlrrIN6YCYmJjz58/LFq8/fvxQf+Xkg34roiiA7HjI1rudOnVydHRUqiGlLm9PSUm5IKJUExTIbvrw4cODg4PZOtVgaGgYGRlJvrrkm6n+qkaOHEm+5FIbANqrEQxEJ/UiRMhjW1vbFi1akDK3e/fuGBFMyqxZs5o2bern50e2H4piyJu5RES1JurVqxcaGsrKHMsAukTHOn9q6GqKE0RpS/aKyDdg27ZtzF9CSiIvL69p06aFhIQoNVHy1q1bJY+7desmeUz2wwICAki5LHUh45s3b3755ZfZIvp29S2pa0npo6nWU0VevXpVfOH+/ft79eql1Ho0ddCd7BAPHjyYdDdkr4ndNZMe8/Dhw+TrunTpUobX3cpyc3MLDw9v3ry57FO095BJSU5OPilibm6O0lYW2QN/9uwZ+SZs3LhR0TEV1Tg7O//5559DhgwR5uVuAJqle50/NXQ1EpovbckH4Ovru3fvXmVfSDbqZNN+/fp1Uu4wPJJ38+bNe/fuiR+TL1/Xrl0lT5UoUWL16tX9+/cfMWLEy5cvi78qPz9/7ty5p0+fjoyM5PmbCupr1aoV+ewuX7585cqV27dv014Upb4GDRoMHTqUfKvt7Ow4aoL0L+K95zFjxkhV/7SqV68uHkdM0T6hsqWtBNmnV+2FOo98E8hu8/jx48mnRvo60qWoszayj92pU6exY8d26dJFW7Y0APzTyc6fGroaMc2XtsHBwSrUtRKkWm3UqNGBAwdatmxJHUlK4YCAAMmf3bp1s7W1lYohK7l79y75apJyWeqpqKgod3d3Ut22bdtW5WyBf+bm5h1FDERXCZPP8c6dO0+fPn0ukpaWxkor5Lvk4eHhJVKtWjVW1kmrdevWZB999+7dq1atIv8p6mDSSZGvLtnt7tevH/WJDpVLW1x0S42U/jt37ly0aNGePXtIp0d7r4YUGxubNm3akC+Yt7d3pUqVOEoSQGfocOdPDV2Nhkvb6Ojo+fPnq7mSr1+/km02+RSnTJlCERYSEnL16lXJn8OGDZMbZmVlRb4KpFyeNWuW1N1s3759Ix82Wc/06dPVzFkrDBfRdBZssrCwaC0iWRIXF/fixYtPnz59FUlISCD/JiYmZmZm5uTkkN4wR4Ts7pNy0ELE0tKybNmyjiKVK1d2c3OrX7++pn7/pGAdKPLq1at///33xo0b5L8TGxtLem3yVJkyZRwcHMiXuXnz5mTnmzxmss4vX75wnbY+c3Jymi5CvmbXr1+/desW+ezevXsXHx+fkZGRlZVlampq8z/kC+bq6uri4lKnTp2GDRuamGj+YASANtK9zp+WPnc1msxefImtmgfMxfLy8qZNm3bx4sVNmzaVK1dO6tnCwsLg4ODikynXrFmTFKkUK/T392/QoEHPnj2l5moixS556sGDB9u2bdP2zx6IiiKazoIFtUQophQHoSHbyO4imk4EQB/pTOdPSw+7Gk0WZ5GRkVLDZzZt2nTEiBFkv8rBwcHQ0JDsYRw+fHjt2rXfv39nssITJ07Url173LhxvXv3JjsfpHT+8uXLhQsXwsPD79+/XzwyKCiI9p6wjh07khV6e3tLVbcGomEWvn37dujQIYwLBgAAACAcGittSd1Z/FIEUsguXbpU6oqCBiKTJk0aP348w+txU1NTQ0QoYurWrdu/f38mayNF9smTJ7t27Spb3Z45c6Zt27anTp3S1NXiAAAAACBFY6Xt2bNniw9EsHLlSkXnUkntuGfPnjZt2kyePDk7O1vNdk1MTLZs2cL8Xj9PT88DBw54e3vLDqURHR1Nnr1y5Yrs7WgAAAAAwD+NlbbFx5ft0KED7TWCo0aNcnd379mzp9TECsqaP39+48aNlXpJp06dFi5cOHPmTNmnnj592qVLl3Pnzik1NDQAAAAAcEEzpW1qauqRI0ckf/71119MXtWwYcM7d+74+PioPF+Ir6/vH3/8ocILAwIC7t27d+DAAdmnbt261aNHj5MnT3I0PTQAAAAAMKSZ0vbUqVOSSeobN27s7u7O8IX29vZnz54NCgoKDg5WdrKNYcOGbdy4UeVhh7ds2RIdHS33mPG5c+eGDh26a9cu1dYMAAAAAKzQTGl74sQJyeNBgwYp9VpSm86fP79Dhw4jR45kOA9TiRIlyEsmT56sVEOyKwkPD+/SpYvcZyMiIpo0afL777+r0wQAAAAAqEMzpS0pE3v16iV+7OPjo8IaPDw8Hj16FBISsnz5coo5RYyNjUlDy5Ytc3JyUjHXYjp16uTn56fo6Oz06dMbNWpEOykaAAAAAHBEM6Xt+vXr1V+JmZlZUFDQpEmT9u7de/r0aVLpfv36NScnx9raukKFCnXq1PH09OzZsye7YzKvXLny+PHjqampsk/l5+f36dPn4cOHZcuWZbFFAAAAAGBI6+fTKl269GgRfpqzs7MLCAgIDAyU+2x8fPyECRMYDsELAAAAAOzS+tKWf5MmTVq9evWnT5/kPrt///7+/fvr1Yx2AAAAAAKB0lZpFhYWQUFBo0aNUhQwbty41q1bly5dmsekAAAAAAClrUoGDRo0e/bshIQEuc/Gx8eTZ1evXs1zVgAAAAB6DqWtKszMzMaNGzd37lxFARs2bJgyZUr16tV5TAoAAABA36G0VdHYsWNDQkIkE09Iyc/PnzlzJu4nAwAAAOATSlsVlS1btkePHpGRkYoC9u/fP2PGDOYTrQEAAACAmlDaqq5///4UpS0RHBx86NAh3vIBAAAA0HMobVXXuXNnOzu7pKQkRQHHjh2LiYlxdnbmMSkAAAAA/YXSVnUmJia9e/fesGGDooDCwsJVq1YtW7aMz6wAAAAA9Ja2lraxsbGnT5++devWkydPPnz4kJqaWlBQULp0aTs7u0qVKjVv3rxFixZt27Y1NTXlNI0uXbpQlLbEli1b5s+fb21tzWkaAAAAAGCgdaVtdnb2vn37wsPDo6KiZJ9NFHn58uW5c+fInw4ODuPGjRs/frytrS1H+Yir57y8PEUBpOY+ePDgoEGDOEoAAAAAACRYLm1v377dtGlTFV547Ngxb29vioD09PTQ0NC1a9cmJyczXGd8fPycOXPWr1+/d+/eFi1aqJAVrRIlSjRv3vzKlSsUMZGRkShtAQAAAHjAcmn79OlT1V5Ys2ZNRU8VFhZu3LgxKChI0exf1D59+tS6desdO3b4+Piolhu1Dh06UJe2586dS0pKsrOz46J1AADQUrGxsWFhYZrOgifGxsaLFi3SdBagF1gubZ88eaLCq4yMjKpVqyb3qTdv3gwYMODOnTvqZJWfnz9s2LBatWo1bNhQnfXI1axZM9rWDxw4MGrUKNabBgAA7fX582f9uc8YpS3whuXS1s/Pz9bW9saNG1FRUcyvHKhcubLc+722bNkyadKkjIwM9RPLzs7u1avXq1evWL+xrEmTJqQ0LywspIg5fPgwSlsAAAAArrFc2jYQET9+8eIFqXFv3rxJ/iWPi4qKFL2qRo0aUkvy8/NJLbht2zYWc/vw4QNZ4ciRI1lcJ2FjY+Pi4vLs2TOKmKtXr+bl5XE9XAMAAACAnuNwhAQXkWHDhpHHtWrVevPmjaJIqQtt09PTe/XqdfbsWdZTCg0NHTFihKGhIburdXd3py5tMzMzSYnfqlUrdtsFAAAAgOL4GPwrKyvr3bt3FAHFj9omJCR4eXk9fPhQUeRvv/3WunXrevXqlStXzsTE5Pv37w8ePDh06ND27dspBuESI2mQ4J9//lmF/wUFUsHTxpw/fx6lLQAAAACn+Chtnz59Sn0pquSobXJycocOHR4/fiwb065du9mzZ3t6ekotd3Bw6CQyfvz4Ll26fPnyhTqZS5cuaaq0nTdvHrvtAgAAAEBxfJS2ckvV4sSlbVpampeXl2ywh4fHX3/99csvv1CvpH79+gcOHGjVqlVBQQFF2OXLl6dMmcIgayUwKW3v3btHEjM2Nma3aQAAAACQ0HxpKx75Kzc319vbW2qQr5IlSy5dunTEiBEMG2revHnv3r337t1LEfPx40eGa2OuRo0ahoaGFPfJGYiGaHjx4kXdunVZbx0AAAAAxPgobR89ekTxrHjkryFDhly9erX48vbt22/dutXJyUmptgYMGEBd2iYlJSm1QiZMTEzs7e0TExOpw+7fv4/SFgAAxBo1akR7EZ3OYP0GbgBFNH/UtkaNGkuXLt2xY0fxhVOnTl28eLGRkZGybbm7u1MHfP/+Xdl1MkFKcNrS9sGDB35+fly0DgAAWsfExKR8+fKazgJA13Be2iYkJFDXfB8/fgwICJD8aWZmFh4ePmTIENWas7e3pw7IyclRbc3UHB0dSeVKHUMbAAAAAADq4Ly0pb2H7NWrV5LHpK49ePBg165dVW6O+oJXws7OTuWVU3BwcKCNef36NRdNAwAAAICY5ktbCfXrWuLbt2/UARUrVlRn/YqULFmSNubTp0/5+fkmJnxcBAIAAACgh4RS2hoZGUVGRqpZ1xqIykfqgGrVqqnZhFylSpWijSksLPz48SNHCQAAAAAA56Ut9fAIEiEhId27d1e/uQ8fPlAH1K5dW/1WZDEpbYmYmBiUtgAAAAAc4ba0LSoqevbsGW3YoEGDZsyYwUqLb968oQ6oU6cOKw1JYXJBAvH+/XsuWgcAAAAAA65LW1JoZmVlUcfUrVt3/fr1bLX44sUL6gBXV1e22iqO4VHbz58/c9E6AAAAABhwXdrSXmhrZma2a9cuc3Nztlp8/vw5xbOGhoYcXZDA8KgtFxNGAAAAAICYhkvbmTNn1q9fn8UWX758SfFslSpVLC0tWWxOguFRW5S2AAAAANzRcGnbuXNnFpuLi4v78eMHRQBHF9oa4KgtAAAAgABwW9pSD49gaGhYt25dFpujraTZba44U1NTJmHJyckcJQAAAAAAHJa2WVlZ7969owioWrWqlZUViy0+ffqUOkDjpS2O2gIAAABwh8PSlhSahYWFFAFubm7stij8o7a040UAAAAAgMo4LG1pC8169erx2aKRkRF319oyLG1zc3M5SgAAAAAANFnasnvUtrCwkHpQ26pVq3I0PIKB9pe2hoaGmk4BAIBlRUVFmk4B1IXNk85j/XeqO0dtX79+nZ2dzVtzUkxMGL2Twixt0XEAgE4inRuqW62GzZM+YP13qrHS1szMjN3ZE/i//qE4hkdt8/LyuMsBAACkoLoFED52f6dclbYJIhQBpK41NjZmsUWer3+Qou0XJAAAAADoAK5KW/4LzSdPnlAHcHrUliGcWwEAAADgjsZKW56HRzA1Na1Vqxa7LRZXUFDAJMzMzIy7HAAAQAquRgAQPu241pbno7a000PUrl2b4Z1eqmFY2jK8boFn5CuFw8kAoHtQ12o7bJ70gdaMkMDzUVva6SG4vhpB24/aYgMAAAAChM0TKIuT0pZ8EannvLWxsalSpQqLLWr8QlttL20BAIBn+fn5379/13QWPDE0NCxXrpymswC9wElp++bNG+oZZVmf8FazI38ZoLQFAAAl3b17t3nz5prOgifGxsYY/hL4wUlpy//wCBovbalLeQlra2tO0wAAAADQZ5opbVkvNKkvSLCysqpWrRq7LUphWNra2dlxmgYAAACAPtOFo7bfv3+Pj4+nCKhTpw6LzcmF0hYAAABA4zgpbR89ekQdwO5RW41fjUBkZmYyCUNpCwAAAMAd9ktb2iFmy5cvb29vz2KLQihtcdQWAAAAQOPYL235H2JW4yN/Eenp6UzCUNoCAAAAcIf90lYPh0cwEF3vyySsYsWKXGcCAAAAoLc0UNryfNTW1tbW0dGR3RZlJSUlMQmrWrUq15kAAIBWqFat2rp16zSdBU+MjIw0nQLoC60/ahsTE0N9MQAPh2wNGJe2zs7OHCcCAADaoWzZsqNHj9Z0FgC6hu/S1tDQkN2pyIRwoa0BswsSTE1NnZyceEgGAAAAQD+xXNomiFAEVK1a1crKisUWhXChrQGzo7aVKlUilT0PyQAAAADoJ5ZLW/4LTYGUtrGxsbQxLi4uPGQCAAAAoLf4Lm11cngE4uPHj7QxDRo04D4RAAAAAP2l3Udt8/PzX716RRFQoUIFW1tbFluUq6Cg4PPnz7RhP//8M9eZAAAAAOgz7T5q++LFi7y8PIoAfg7Zfvr0iVS3tGE4agsAAADAKTZL26KioqdPn1IEmJqa1qpVi8UWtehqBBsbm+rVq/OQDAAAAIDeYrO0ffPmTVZWFkWAi4uLiQmbLQpk5K8XL17QxjRr1oyHTAAAAAD0GZuFpt4Oj0CbBtGuXTseMgEAAADQZ7yWtjwPj8D69BCKPHr0iDYGpS0AAAAA17T4qG16evqHDx8oApydndmdHkIR2v+4ra1tw4YNecgEAAAAQJ9p8VFbgVxo+/nzZ9qpyNq0aYN5yAAAAAC4xlppm5WV9fbtW4oAGxubKlWqsNWcgWAutL1z5w5tTO/evXnIBAAAAEDPsVbaPn36tLCwkCKA9cteaUvbFStWnD9/vmHDho1ESKXL7vgMYhcuXKAOsLKy6tatG+vtAui5+Pj4+/fvP3jw4P3797Ei379///Hjh3isa5v/cXR0JL99Nzc30gmwfrm/fsI7DwBCxlqpJ8DhEbKzs6NFxH+amZmJO1lS7A4YMKBEiRKspEFb2nbt2tXa2pqVtgBgw4YNl0WopwBMFjEQ7XWfPXtWvLBGjRo+Pj6DBw/GINMqwDsPAFqBv9KW9b122mttpeTm5t4VMWDvCoFv375Rz1JB9OvXj5W2AIAYM2aMyq998+bNwoULQ0NDJ0yYEBQUVLJkSRYT03l45wFAK2jrUdv4+Pjv37+r9tqyZcva2dmxksbFixeLioooAsqXL4+rEQA4ZWRk9Msvv3h6ejZr1qxGjRr29vakckpNTU1KSnr48OHVq1cjIiLIXqgkPi8vb8WKFWThoUOHmjdvrsHMtR3eeQAQIG0tbZnMkqBInTp12Erj9OnT1AFjx441NTVlqzkAKI7sOk6dOnXgwIEODg5ST9mJkHqrV69eISEhpKKaM2dO8fsBvn792qFDh7Nnz6LGUgHeeQAQLNZK2/j4eLZWxQTpGanvWuNBTk7OwYMHKQLMzMzUOYUHABRIdfX+/XsLCwvaSEtLy5kzZ7q5ufXo0aN4v5GZmUnKL7KfXKZMGS4z1TV45wFAyNgfMUB/HD9+/MePHxQBPj4+5cqV4y0fAL3i7u7OpLqS6Nat2/Tp0xcvXlx8Idknnz179rp169jOTpfhnQcAIUNpq7pdu3ZRPGtsbBwQEMBbMgD6hhRYyr6E1FJr1qzJyMgovnDLli0LFiywt7dnLzUdh3ceAIQMpa2KkpOT//nnH4qAIUOGuLi48JYPgL5p1KiRsi8pUaJE7969t2/fXnxhXl7ewYMHR48ezV5qOg7vPAAIGUpbFW3atEk8PrlclpaW8+bN4zMfAH2jwrFDolWrVlIFFnHp0iUUWMzhnQcAIUNpq4rs7Oxly5ZRBEyaNMnR0ZG3fAD0Dfl9yd6bz8TPP/8su5B2dGqQwDsPAAKH0lYV69evT0hIUPSss7Pz7Nmz+cwHQN+oduCQqFChguzCuLg49dLRI3jnAUDgUNoqLTc3d8mSJRQBGzdutLKy4i0fAL2i5qh/cufBSk9PV2edegLvPABoBZS2SiOVK8UU6sOHD2/Xrh2f+QAAc3KnUFFqKCtQDd55AOAHSlvlfP/+PSgoSNGzzs7OS5cu5TMfAFCK3LGoMXEAD/DOAwA/UNoqJyAgICkpSe5TFhYWBw8eLFWqFM8pAQBzcn+/VapU4T8TfYN3HgD4gdJWCf/+++/mzZsVPbtmzRq5twADgHA8fvxYdmHLli35z0Tf4J0HAH6gtGUqOTl5+PDhip4dPXr00KFD+cwHAFRw+/Zt2YUdO3bkPxN9g3ceQLN69+596NAhJpH+/v6LFi3iOh/uoLRlpKioyNfXV9HdY7/++uuaNWt4TgkAlEV+yJGRkVIL69at6+npqZF89AfeeQCNYz6M9IoVK4YOHVq7dm1O8+EOSltG5syZc/r0ablPka557969RkZGPKcEAMo6cuRITEyM1MJZs2ZpIhf9gnceQOOY3wuUl5c3fvz4c+fOcZoPd1Da0tu+fftff/0l96mGDRseO3bM3Nyc55QAWKQnZ6mSkpJIZy210EdEI/noD7zzAEJw8eLFgQMHMuztL1y4sHfv3n79+nGdFRdQ2tI4ffr0yJEj5T7l4eFx/PhxGxsbnlMCYJc+nKX69OlT586d4+Pjiy/09PTcsGGDplLSE3jnAQTC0tLywIEDM2fOZHiEYtq0aV27di1RogTXibEOpS0VUtf27NkzPz9f9qlu3bqRHRqMNw46QLfPUv348SM8PDw0NDQ5Obn4ch8fn61bt+KUC3fwzoMGactVgmpO8qeC4OBgV1fXkSNH5ubmUkd+/vx57ty52jhaP0pbhY4cOUK6YLmf/dChQzds2GBsbMx/VgCs04GzVOR3mpKSkpqamiJCHnz58uXjx4/37t27du0aqciLB1erVu3vv//u2rWrprJVSmxsLOmLLl269Pz5c/KfSk9PJ3vU5cuXd3Nz69y5c9++fUuXLq3B9HT4nQfQVaTDJz/GHj16fPv2jToyLCyMFDx169blJzG2oLSVj+ymBAQEyO5OmZiYkKd+//13jWSlpdLS0l6+fPlBhGzzyL9kXzAjIyMrKyszMzNLhLzV5iJks21nZ1dOpHLlyi4uLrVr165Xr57cCeiBFTpwlorJ+RMbG5uOHTsOGzbMy8tLK47oxMXFkbea7HIUFBQUX05+O+9Ejh49OmPGjMmTJ5PPTrWDoMnJyf7+/uLHpUqVUuHwjE6+8wA6r2XLltHR0d7e3s+ePaMIy8/PHz9+PNm15isvdqC0lUY2G2PHjt21a5fsU6TY2rdvX6tWrfjPSruQTfKdO3ceijx69Oj9+/dFRUW0r8oUIQ++fPkidfUn2RzWqVOH/BTbt2/fuXNnKysrrlLnDKnvQ0NDV6xYQep48RL+z0NR0+GzVI6OjoMGDerTp0/dunXNzMw0nQ4j5KsyZ84c0h1Rh5Hv1YIFCyIiItatW0d+Hcq2Ql4omYaGvD+qJEpJG995AD3h7Ox88+bNfv36KRoASuzKlSu7d+/29fXlLTH1obT9/9y9e7d///5v3ryRfYrUVZGRkU5OTvxnpRXIt//WrVtRUVHkX0UDAKuMVIFPRNavX29padmpU6dRo0Z5eXmx2wpHyF4vSXv+/PmJiYmazoWGrp6lIl/IRSKkumrbtm13EbKnqum85CP7gcOHD9+2bRvzl7x9+5b8HKZNmxYSEqLUhVJbt26VPO7WrRvzFzKkXe88gL6xsbE5ceLElClTVq1aRRE2Y8YM0j9o0blTlLb/lZmZGRQU9Pfff8veNGZiYkKeCgwMxKk0Cq1bt+anoaysrMMitWvXJr83UmAZGhry07QKDh06RL45r1+/1nQiTGnpWars7OzU//nx4wf5Nz4+/suXL+R/cfPmTcm+Vm5u7mmRyZMnk72jgIAABwcHzWYuhezF+fr67t27V9kXkoJ46dKl169f379/v6OjI5OXkHfm3r174sek9FTtElideecB+Ne8eXNNp/Cfk6Kk8nF1df3999/l3jRPkB/1nDlzVq5cyW9qqkNp+19169b98OGD7PKaNWvu3r3b3d2d/5SA2suXL0eMGBEWFkZ+lgKc0+jGjRuk8iZbd00nojRtPEtFKrOyInKfffTo0aZNm7Zu3So5v08KMvLN2SQiqNFVg4ODVahrJcgH16hRowMHDpBdFOpIUgqT+lLyZ7du3WxtbVVoUWfeeQD+BQYGajqF/xozZkyNGjX69u2bkpIiN2DNmjXDhg376aef+M1LRSht/0u2rjU2Np48efL8+fMtLS01kpJOIjuILi4uTZs2bdasGXlQuXJlskG1trYmG9qsrKzU1NTY2Ng3b97cvXv38uXLDx8+pF0h2Xa2bduWFJELFy40MRHE9/n169ekaDh8+LCmE1Gdjp2lIt0xKaemTp06fPjwixcvSpZnZmYOGDCAfM1CQkI0mJ5EdHQ06XDUXMnXr1/JL2LRokXk46MII//lq1evSv4kGy0125VLW955AP65ubl5e3trOov/0759e7JvTFJ6+/at7LMFBQXjx48v3mkImSBKAQFq1KjRxo0bGzRooOlEdISFhUWnTp18fHw6d+6saJILG5GKFSs2b9584MCBZMnHjx83bNiwfv3679+/U6yclMWLFy++fv06qcaYD9HKhcTExLlz55JvjqLTOlpE985SOTs7nzlzplevXseOHSu+PDQ0tEqVKmPGjNFUYmLiS2xZ+ebk5eVNmzaNlJKbNm2SvbC1sLAwODiYfHCSJTVr1uT0ynWBv/MAGiGcQ7YStWvXvnXrFvmpXr58WfZZspHdvn374MGD+U9MWShtpZHaKCgoiGzOcWUtK8iO6aRJk/r06aPCtG2VK1deuHDhjBkz/vzzzzVr1lAPs0B+da1atSJb0PLly6uRr4qysrKWL19OKuy0tDT+W+eOjp2lMjY23rdvX+PGjR8/flx8OfmK/vLLL/Xq1dNUYkRkZKTUwCBNmzYdMWJE69atHRwcDA0NX716dfjw4bVr11Lv6UmQPT2yoRo3blzv3r1dXFzIz+fLly8XLlwIDw+/f/9+8UjS43Hd3Qn5nQfgX/Xq1Um/quks5LCzszt79izp+bds2SL7rL+/f/fu3TV7CIkJlLb/h3S+o0aNmjdvnr29vaZz0QXkF7Jp0ybyM1BzPeRXFBYW1q5duwEDBkhGzpKLbDW7du165coVPkcHKyws3Lp1KykOWB8XQiB06SyVgeja0CVLlnTq1Kn4wry8vAULFqhzkauaSN1Z/FIEUsguXbpU6oqCBiKkFiRvOMNUU1NTQ0QoYurWrdu/f3/V0laKMN950B9eXl7//PMP/+2SuoJsCqUWkhpRsIfPTExMSMJkf1h2dP/ExMRZs2atXr1aU7kxhNL2v8iXftmyZXXq1NF0IrqDFKPq17USv/3225EjR0iBJTW/kZR79+75+vrydp3rqVOn/vjjD6mDbbpHZ85SiXXs2LFp06bkf1R84cGDB9+/f1+1alWNpHT27NmXL19K/ly5cuXEiRPlRpI9xj179rRp02by5MnZ2dlqtku2YVu2bOFtjBEBvvOgP8h3j/9GP378SLpHqYWOjo5DhgzhPxmlTJ8+nfT8ZHuanp5efHl4ePjw4cN//vlnTSXGBErb/9LIzpxua9KkCbsr7NChQ2ho6NSpU6nDjh49SrbWHN0WI3H37t0ZM2YIZ/QrrunGWSoJUqZLFViFhYX//vuvpq77LD6+LPmeK6prJUaNGuXu7t6zZ0+y4VSn3fnz5zdu3FidNShLaO886A+NlLbBwcGyh2PIVszU1JT/ZJTVrVu3a9eukX9jY2MlC8kPdty4cQIf/AelLXCFi03m5MmTDxw4cOPGDeqwadOmeXt7czQyfExMzKxZsyIjI5lMsaZLdOAslYTcjdzFixc1UmClpqYeOXJE8udff/3F5FUNGza8c+eOj4/PhQsXVGvX19f3jz/+UO21KhPUOw96hfWjLbRIRSg794qdnd3o0aN5zkRlP/30U3R0dPfu3YvvkcbFxWkwJSZQ2gInjIyMGjVqxMWaly9f3qxZM+oYUissWrSIRLLbdHJyMik7SAFHMRUt2Rfv1KnT8ePH2W1aOLT6LJVE9erVZRc+f/6c/0wMRJe15OTkiB+THULmo2jb29ufPXs2KCgoODhY2Xmbhw0btnHjRv6nOxHUOw/6g3zxypQpw3OjISEhshuL33//3dramudM1FG+fPlLly4NGTJEck28i4uLZlOihdIWOOHq6srRr5fsebdq1erKlSvUYaTSCggIYOvALemewsLCSAGhaKAAokWLFn5+fn379iU75YK9P4AV2nuWSoJ8RrILaacX5siJEyckjwcNGqTUa0ltOn/+/A4dOowcOfLVq1dMXlKiRAnyksmTJyvVEFsE9c6D/uD/aoS4uDjZy7fIr4/2ciMBMjc33yOi6USYQmkLnOD01M/w4cNpS9vs7Ozdu3dTj1rPUERExKxZs+ROVmcg2n/1FXF2dla/LW2hpWepJMzMzGQXJiUl8Z+JgWhr16tXL/Fj1Sbo8vDwePToUUhIyPLlyymGnzM2NiYNLVu2zMnJScVc1Saodx70B/+l7aJFi2QP2Y4ePVq1af9AKShtgROclrakojI1NaUeKoHYuXOnmqVtampqu3bt7t27J/uUg4MDqUL8/PwaNmyoThPaSxvPUklI5n0tTlPH2tevX6/+SkjJGBQUNGnSJPJxnD59mlS6X79+zcnJsba2rlChQp06dTw9PXv27FmxYkX121KHoN550B88l7afP3/evHmz1EJzc3Pa26CBFShtgROc3nZtY2PTqFGjqKgo6rAHDx6Qrbs6MzikpKRI1bWk6R49evj6+pKSF9tjrTtLJSF1obCYFo3woEjp0qVHi2g6EYV09Z0HISM7fjzPLRoaGiq5gF5i8ODBZD+TzzT0FkpbYB+peLienqply5a0pS1x5cqVPn36qN+ciYmJl5cXqWi7d+9uYWGh/gpBBWT7lJ+f36VLl+IXp6omPj5edqFeXVKiFLzzoNVIXSv3ShiOkC/5xo0bpRYaGxv7+/vzloOeQ2kL7CP9CKkFOW2C4eQat27dUqe0NTQ0bNasmZ+fX79+/fi/uxakWFpapqWlMdmloSX3lnxtmS6Yf3jnQavxPOxXaGio7HQqffv2rVatGp9p6DOUtsA+HvqRWrVqMQl78+aNOq1UrlyZdgxd4I2VlRUpsJKSkl68eKHmdb2PHj2SXdimTRt11qnD8M6D1lF2ODy2fP36dcOGDVILDQ0NAwMDNZKPfkJpC+zguR9heAXt27dvuc4EeGNpaSl+QPY31Cywik+RIGZtbd2tWzd11qnD8M4DMLR48eKsrCyphd7e3vXq1dNIPvoJpS1opbJlyzIJw3iZusTKykr8gBRY6kykfP/+fdkhYAcNGqRd46jzCe88ABOJiYnh4eGyy3HIlmcobUErMbyXS+5IQ6ClJMcOr1+/rs56ZIeEI6XVrFmz1FmnbsM7D8DEkiVLZA/Ztm7dmnYGTWAXSlvQSgxvd83MzOQ6E+CN5Njhq1evkpKS5M5rRWvFihWy832EhoY6Ojqqm5/uwjsPQOvbt2/r1q2TXT5z5kz+k9FzKG1BK+Xn5zMJ43PAF+CapMAqKio6e/Zsv379lF1DcHDw7NmzpRYOHjx43LhxLOSnu/DOA9BaunSp7HlCd3f39u3bayQfWtnZ2ffv37979+7Dhw8/fPjw8eNHsuOamZlJlpuYmFhYWJiL2NralhdxcHBwdXVt0KBBvXr1pLat6enpI0aM2Ldvn/hP8nsPCAjQxP/pv1DaglaSncBQLsmJVNABxT9NX1/f/fv3k9qIbDaYfMo3btwgXe21a9eklpP1bNq0ieVEdQ7eeQBq379/X7NmjexyAV5l+/XrV/ITPnny5OXLl2UHKRPLFRE/jouLe/z4cfFnSeH7008/de/evWfPnnXq1Hny5EmfPn1evnwpCdD4cH4obUErMSxtbWxsuM4EeCM5dmggGpHjkIiFhUWrVq3c3d1JZ+ri4lK2bNkyZcoYGxtnZWXFx8e/e/fu9u3bJ06cuHXrltTaTE1N//rrr+nTp/P7n1Bafn7+vXv3nou8ePHi48ePaf9DfgXkPbG2tnZwcKhWrVrNmjWbN2/eokULe3t7dnPQz3cegLlly5bJHrJ1dXXt0aOHRvKRVVRUdOzYsQ0bNpw5c6agoECdVYk7JWLOnDmk2yGdktTUayhtAVSRkpLCJAyX8alAsGep5B4jJFmdEWG+HkNDQ29v7yVLljAcHVkjyNt+8uTJf//998KFC3InpxUT17iklHzw4IFkYePGjfv169e/f3+2ZvXUq3ceQFnJycmrV6+WXf7HH3/wn4wsUshu2bKF/O7UHOhdrtevX0stIZuGihUrst6QUlDaglb6/v07kzAnJyeuM9EZwj9LNXbs2HLlyt28efP27duqjX1BSr2+ffuOHDmS4Wx2/CsqKiIfwbp160hRq/JY0bdFAgMDSXXr7++v/n9WH955AJUtX75cdv+zSpUqvr6+GsmnuMOHD5OuQHbQPe64ubnx1pYiKG1BKzEcsLZ27dpcZ6LttOgsVUMRcc4xMTHic/Tv37+Pj4//8uULKc3J1iVbJC8vz9TU1MrKqmzZso6OjuRrQJr28PAQQp+rCClkt27dunDhwg8fPrCyQvIm7NixY/fu3WPGjFmwYEHp0qVVXpVuv/MA6khJSVm1apXs8unTpxsbG/Ofj0RsbOy4cePIrjJFjImJiaen5y+//NKyZcvKlSuXKVPG1taW9ORkD5b8ul+/fh0VFXX8+PGnT58yb1fjVyMYoLQFLcVw81+/fn2uM9Fe2nuWytDQsKpIly5dWFmhxp06deqPP/5QavvBEPmU16xZc/DgQVLjqj+fre698wBqWrFixY8fP6QWlitXbvjw4RrJRywiImLs2LFpaWmKAipUqDB69OhRo0Y5ODhIPWUmQnpsV1fXX3/9NTg4+MqVK6R8P3ToENm5pW1aCPuxKG1BK71//55JmPhQE8jSz7NUAvTt2zeydZGdflZW7dq1u3bt2rJlS/JOlilTpmTJkpmZmZ8+fXr27Nn58+cPHDiQmJio6LXx8fEdOnQgmyh/f382swfQb6mpqWFhYbLLp0yZwnBeIdbl5OSMGzdu69atigJMTEwmTZo0d+5c5rMAthK5e/fumDFjyL/UwThqC6Ai2YOCsipVqlS9enUektEu+nyWSmiOHj1K6lqKklTst99+I1tKsmmRWm5jY+Mi0rNnz5UrV27fvn327NkJCQlyV1JYWBgQEEDaWrJkCTvZA+g98rsj1a3UwlKlSmlqwGbyA+/evfvNmzcVBdSoUYPsBqvWGzdq1Ij0/GSnWnbGNQlDQ0MhHMVAaQta6f79+7QxHTp04CET7aLnZ6mEg7xj/v7+y5Ytow4jW6CwsDDZolaWqanpiBEjyFbNz8+PYtQC0iKJJJ+d0hkDwP/vx48ff//9t+zy8ePHa2TcyZiYmHbt2lGc0vTy8tqzZ486l93HxsZS1LVEtWrVio8VqCkobUH7pKSkkN8wbZhwBhQUApylEo7MzExfX9+jR49Sh02cOHHp0qWkEmW+Znt7+xMnTvj4+JD9DUUxixYtqlGjxrBhw5ivFgBkkbpWdhhKS0vLyZMn85/M27dv27ZtS0pPRQFkp3fbtm1GRkbqtFJ8kEG5BNLPo7QF7XP9+nXaGDs7O7KHykMyWgFnqYSDbAs7dOhAvSdgZma2Y8eOvn37qrB+souye/duDw+PO3fuKIqZMGFC8+bNXV1dVVg/ABiIhpReuXKl7PIRI0awPmcKrU+fPlHXtQMHDiR1LemH1Wzo4cOH1AEobQFUdOHCBdqY/v37k208D8kIH85SCUdGRkbnzp2p61pra+tDhw6pczmNubn5rl276tevLzX4mkR2djbZ1N26dUuzgxMBaK9Vq1YlJydLLTQ1NZ0xYwbPmaSmppJehaKu7dKlCyt1rQGD0lYghzCw7Qftw2QCpAkTJvCQifDhLJVwkILS29tbduLZ4sim8dixY+qP0lWrVq0pU6YsWrRIUcC9e/c2btw4ZswYNRsC0EPp6enLly+XXU66U/4n4iKNPnnyRNGzLi4ue/bsYaWuNcBRWwCOvH79mvbG/I4dO2KyBgOcpRKYESNGXL58mTpm8+bN6te1YtOnTw8LC8vMzFQUMH/+/EGDBuFoOoCyVq9enZSUJLXQyMiI/5l1ly1bRjHcDfl1HzlyhK172tLS0qjvcrG2thbIqEQobUHL7N+/nzYmKCiIh0wEDmepBGXVqlURERHUMTNmzPDz82OrRTs7u969e+/YsUNRQHx8PKmkJ06cyFaLAPogIyND7tgmPXv2rFWrFp+ZREdHz5w5kyIgODiYxZRIP089GE7dunXZOjysJpS2oGUo7vEX8/Lyat68OT/JCBnOUglHVFTU9OnTqWPc3d3/+usvdtv19fWlKG2JtWvXorQFUMqaNWu+f/8uuzwwMJDPNFJSUvr165eXl6cowMPD4/fff2exRS3q51HagjY5f/7827dvKQJMTEyWLl3KWz6ChbNUwpGTkzN48GCKLRBhYWERERHB+o2Pnp6e5M3PyMhQFPDy5curV6+STSC77QLoqszMTLmHbL28vH7++Wc+M5kyZQrFhPNGRkarV69mt0WUtgCckHvlfnFjx46tW7cuP8kIFs5SCcq8efNoJ8/z9/evUaMG602bmZk1btz40qVLFDGHDx9GaQvA0Lp16+ROH0jd5bLu7t271CdkhgwZwvplYFp04RlKW9Aa9+/f/+effygCKlWqtHDhQt7yESacpRKUx48f055GqFKlSkBAAEcJuLu7U5e2R48epd1jBAAiKytL7jzVLVq04Hn/cNKkSRQHFCwsLBYsWMBui4WFhRRXuIkJp6tHaQtaY86cOdQBmzZt0sj0hoKCs1SC4u/vn5+fTx1DNkJkU8RRAi4uLtQB79+/j42NJbuFHCUAoDPCw8MTEhJkl/N8yDYyMvLGjRsUAYMGDapQoQK7jb569Yp68HInJydbW1t2G1UZSlvQDufPn6e4eNRANJCtOqPc6wacpRKU69ev//vvv9Qx1apVGzBgAHc5MLnKOTo6GqUtALXs7Gy5h2zr16/fpUsX3tLIycmhPsljZGREe9OqCrTrEAZKW9ACeXl51LNy//zzz7h7zABnqQTmzz//pI0JDAxUc74MauXLl6eNIXtEvXr14i4HAB2wfv36+Ph42eXcXU0k19atWz9+/EgR0LVrVy4u3EdpC8CykJAQimkabG1t9+/fb2ZmxmdKAoSzVIISHR1NfZGrgWjoWRYHspWLyXT279694zQHAG2Xk5OzePFi2eWkiOzTpw9vaRQWFtIexBk6dCgXTWvXlJMobUHoHj9+HBwcrOhZY2Pjffv2VatWjc+UBAhnqYQmPDycNmbgwIHm5uacpsFksjHqg0AAsHHjxi9fvsgu/+OPPzg96yLl2LFj1DuiZFfW29ubi6a168IzlLYgaFlZWT4+Prm5uYoC/v7773bt2vGZkjDhLJWgpKam7t27lzZs1KhRXGfCpHT+/Pkz12kAaC+yAQoNDZVd7uTkNGjQID4zIRU2dUDfvn1ZHx6b+Pbtm9zKXsLMzIz2jlU+obQFQZswYcLz588VPRsYGDhu3Dg+8xEmnKUSml27dlFfp2EguvvE1dWV60yYjCicnp7OdRoA2mvTpk2fPn2SXT5t2jRTU1Pe0oiLi6O9LbVbt25cNE17CIPUtVyU1CoTUCoAUlavXk0xre6wYcNYn5hUS+EsldAcPHiQNqZnz548ZEJbYRuIJljiIRMAbZSXl7do0SLZ5WXKlOHhrEtx+/btKywspAiwtrZu06YNF01r3SEMlLYgUOfPn586daqiZ/v37097akZ/4CyVoKSkpFy7do02jJ/SNjs7mzaG4oIfAD23efPmuLg42eW///47kwvZWXTgwAHqAFLXcnQ7tdZdeIbSFoTo0aNHvXr1UjTWPXlqx44d+jx3a3E4SyU0J0+epJ2mwdnZmZ8ZoZmUtpaWljxkAqB18vLyQkJCZJfb2NhMnDiRz0y+fv1669Yt6phWrVpx1DpKWwB1ffz4sUuXLj9+/JD7bO/evffs2WNsbMxzVoKFs1RCc+bMGdoY7jZCUpKTk2ljyDeEh0wAtM7WrVtjY2Nll48ZM6Z06dJ8ZnLu3DmKMcvFWrRowUXTpL5/8eIFdYzQLjxDaQvCQvZN27dvr+iW7b59++7evRt1bXE4SyU0UVFRtDGenp48ZGLAbPQDlLYAsvLz8+UesjU3N6e4WI4jpLSlDiCdvLu7OxdNP336lFS3FAH29vasj5iuJpS2ICDJyckdO3Z88+aN3GeHDBmyadMmPgcRFD6cpRKalJQURV/g4jw8PHhIhqC+GFqM5+NPAFph+/btHz58kF0+dOhQJpP8sev69evUAbVq1dLUIQyhHbI1QGkLwkFqgvbt2z9+/FjusxMmTAgLC+M5JeHDWSqhuX37Nu0nYm1tzcUYw3IxOWpbpUoVHjIB0CIFBQVypwoyNjb29/fnOZnU1FTaHeY6depw1Lo2HsJAaQuCQH66HTt2vH//vtxn58yZM3fuXH4z0g44SyU0FDNCS/AwnK0E7e6HgeieNu4TAdAmO3bseP/+vexyHx8f/n8vd+/epY1BaVscSlvQvKSkpA4dOsita42MjFatWjV27Fj+s9IKOEslNDExMbQx/IyNIPbkyRPaGJS2AMUVFBTIHTTd0NAwMDCQ/3yY7KByN9s8SlsApSUkJLRv317uBtjCwmLnzp29evXiPyutgLNUAsSktK1duzb3ifxHUVERxWR+EnyW2gDCt2vXLrmT4HTr1o27HpXC69evaWM4OkUWFxeXlJREEWBkZCTADgSlLWhSbGwsqWvl/m7t7OyOHj3asmVL/rPSFjhLJUBy7zuR4ujoyEMmBqKDPbTj2hoaGjZu3JiffACEr7CwUNE8lzNnzuQ5GTG5l0ZI4ai0pe3na9SoYWFhwUXT6kBpCxpDKlpS18odNdDZ2fmff/7h7eCWlsJZKgFKSUmhjXFwcOA+kf+4dOkSbYyLi0vJkiW5zwVAO0RERMg9G9a2bdsmTZrwnw8RHx9PG2Nvb89F01raz6O0Bc148OBBp06dEhISZJ9q2LDhyZMn+R9dRevgLJUAZWRk0MYIqrRt2rQp94kAaIfCwsKFCxfKfUojV9mKyd1QSuHo0ClKWwCmLl++/Ntvv8mdb4zUu/v378cY8kzgLJUAZWZm0saUKVOGh0wMRD802hgvLy8eMgHQCpGRka9evZJd3qRJk3bt2vGfj1hqaiptDEf9rZZOOYnSFvh25MiRAQMGyL0EcMyYMatWrcJkYwzhLJUA0V7basDZRkhKVFQU7cEeU1PTzp0785AMgPAVFRUJ8JCtAbNehYuRcMiO+tu3b6ljhNnVo7QFXm3YsGH8+PEFBQVSy42MjBYvXsz/7IVaDWepBIgUizk5OdQx/JS2tDMwE61bt8aFtgBie/fulXsDQ506dX777Tf+85Gg7VLEMebm5uy2+/jx48LCQooAGxsbYQ4diNIW+DN//ny5My9YWVnt3r1bs32HNsJZKgEiX2YtKm0xsh6AGMUh24CAAJ6TkWJoaEgbk5GRwXppS3sIo169euy2yBaUtsAHsuc3ZsyYTZs2yT5VoUKF48ePN2zYkP+stB3OUgmQtbV1cnIydYyRkRHXaVy9evXjx4/UMSTV/v37c50JgFYgu4LPnj2TXe7s7Kzxn4mlpWV6ejp1zNevX+3s7NhtV3sPYaC0Bc6RSqhfv34nT56UfcrNzY0sr1ixIv9Z6QCcpRIgR0fHuLg46pjc3FzWPxQp4eHhtDFkg00+KU7TANAWCxYskLt8xowZGr/9w8rKira0jY2NZX0Gb+298AylLXArMTHR29v79u3bsk917tx57969JUqU4D8r3YCzVAJUuXLl6Oho6pisrCxOS9vv378fPHiQNmz06NHc5QCgRcjvRe6MmA4ODsOGDeM/Hynly5envbPi6dOnHTt2ZLfdx48fUwegtAV99ObNm06dOsmdsXDChAkrV67k4cysDsNZKgFiMkfGt2/fSpcuzV0Oa9asyc3NpY5p165do0aNuMsBQIvMnz9f7vIpU6ZwfYKFCScnJ9oq8+bNmyRbFht99uwZ7fbFzc2NxRZZhNIWuHLr1q1u3bqRrbjUclLOrlixYuLEiRrJSpfgLJUAMakXExISatSowVECP378IDuNtGGKTr8C6JvDhw/LLRzJ/ufYsWP5z0dWzZo1T58+TR1z4cKFgoICtq6dePfu3a+//kodU7lyZcGOr4LSFjhx8uTJfv36yQ5fT6qxPXv2kJJXI1npGJylEiB3d3faGLLZaNGiBUcJhIWF0U7227lz52bNmnGUAIB2UXTIdsKECQK5Xq5+/fq0MUlJSWfOnGFlmOpHjx516tSJdtx0IffzKG2BfVu2bBk9erTs4LWkFDtx4gROg7IFZ6kEqGrVqpUqVYqNjaWIefnyJUetf/nyZcmSJdQxpqamoaGhHCUAoF2OHj0q9zSUlZXVpEmT+M9HrsaNGzMJW7Nmjfql7fXr1729vZmMLInSFvRIcHDw7NmzZZe7urqeOnWqSpUq/Kekq3CWSpjIW0S2MRQBcu+qZMX06dPT0tKoY/z9/fX5Pj+A4hRdmTNy5EjeJsSm5ebm5uDgQHsY9Z9//rl37546I2lGRESQ/3hWVhaTYJS2oC/Ibu6qVatkl3t4eJCdY05vndFDOEslTD169KAubaOioljc35A4f/78nj17qGNq1aold88TQA+dOHGC1IKyy01NTcleIv/5UOjSpcuWLVuoY4qKiiZMmHDt2jUV7s/Ozc2dOnXq2rVrmb9EyF09SltgR15e3qBBg/bu3Sv7VN++fXfs2MHF3AF6DmephKlt27bVq1enmNXix48fZPPj6enJYqPfvn0jP0DqGLLB3rZtmxDu+AYQAkVX2Q4cONDJyYnnZKiRXzdtaWsg2m0m+67BwcFKrfzWrVvDhg17/vy5ZImjo+Pnz58pXmJhYUH2k5VqhU8obYEFGRkZPXr0OHfunOxTU6ZMWbZsGf8p6QOcpRKscePGTZs2jSKAvKXslrZDhw798uULdczy5ctx9xiA2KlTp+7cuSO73MjISOMz68pq1aqVi4vLixcvaCMXLVpkY2MTGBjIZLVk8zF37txNmzYVn4WH9OGkPu7bty/FC11dXYU8didKW1BXUlJSly5dZIepNzQ0XLJkydSpUzWSlZ7AWSphInsCZAOTmJioKCAyMpL8Oti6KHnGjBlyZ/srztfXd/z48aw0B6AD5s2bJ3d57969uRubTx2kWh08eDCTyFmzZpGqPSwsjOLY8+vXr8PDw9evXy81kFGTJk1Onz69c+dO6iYE3s+jtAW1fPr0qWPHjsVPZIiZmZlt27bNx8dHI1npD5ylEqYSJUrMmTOHYvDmtLS0lStXkhj121q9ejXtiRFPT8+NGzeq3xaAbiDVm6K7ORke7+Qf2Tsl+8NyZ02Tdfjw4VOnTnXp0qVHjx7u7u6k6zY3N09ISIiJibl8+fKZM2euX79eVFQk9SoST/a6Sfel7YOXo7QFtbRs2fLjx4+yy3NzcweI8J+SXMXPtugSnKUSrNGjR2/evJli5rbFixeTPRNnZ2d1Wvn7779pT4w0a9bsxIkTZK9DnYYAdImiq2w7d+7M5PZcjSBda3h4uIeHh2xJKldOTs5hEYbrJ7viK1asEHfg2j7lJEpbUIvcuhb4hLNUwmRiYrJjxw53d3dFc96Sd9jPz+/ixYumpqaqNcHkSDxJ4J9//rG2tlatCQDdc/bs2aioKLlPzZw5k+dklNKiRQvSjS9cuJDd1Zqbm69cuZLsjYv/LCgoePr0KfVLBN7Vo7QF0G44SyVY9erVIzsSY8aMURRw48aNoUOHkgpY2UPdiYmJAwcOJJ8XdVj37t13795taWmp1MoBdJuiq2x/+eWXli1b8pyMskjypO5kfiyWVq1atfbu3Vv8WPXLly9zcnKoX9W4cWPydnl4eJB/69aty1YybEFpC6DdcJZKyEaNGvXmzZulS5cqCoiIiEhPTyfVLfNbyrZv3x4QEPD161fqsOnTp4eGhhoaGiqRLoCuO3/+PNmllPuUwA/ZipFfdGRkZJ8+fY4dO6b+qkaOHLl8+XIrK6viy2n7eQPRCdsIEfLY1ta2RYsWZBtE9qUFcq8FSlsArYezVEK2ePHi3NzcsLAwRQFkE+Xm5rZo0aJ+/fpRHL7Ny8s7cuQIWdvdu3epWyxXrtz69et/++031ZMG0FGKDtk2aNCgU6dOPCejGlNT08OHD5P9W7LPzPCIhizS54SHhzdv3lz2Kdqzc1KSk5NPipBNBkpbAG2VnZ399evX+Ph4Rf8yWYmNjY2DSPny5SX/Fv9TqaH1cZZKyMgeQtmyZYOCghTdzhgbG+vr6xsYGEiq2zZt2tSpU4fEm5mZJSUlJSQkkFr22rVrR48epRhNTKJHjx6krrW3t2f7PwGg9S5evEh+SnKfEuzACHIZGhqGhoZ27tx5zJgxr169Uuq11atXF9+hoWhCRGVLWwnhzOCN0hZAoZiYmPPnz8sWrz9+/FB/5RkZGW9FFAWUKlVKtt7t1KmTo6OjbDDOUgncrFmzmjZt6ufnR0pVRTHk3VsioloTZLsi3tqpmiOAjlN0yJZ0UL179+Y5GfW1bt362bNnu3fvXrVqldzpJ4ozMjJq27btkCFDyP4z9SzfKpe2wjmcgdIWQCFS15IiT1Otp4pI7ZHv37+/V69ecuNxlkrg2rdvT7ZDpMbduHEju6PROTs7//nnn2SjhStrAShcunRJ0ymwjBSsA0XIluLff/+9cePGixcvYmNj09LSyFNlypRxcHBo1KgR6dI7depEHjNZJ+28hsKH0hZAd+AslcDZ2dmtW7du/Pjx5GPau3dvfn6+Omsjmy6yuRo7dmyXLl1Q1ALos1oiFNPE6BWUtgC6BmepBI7U+jt37ly0aNGePXtIgUt7W5gUGxubNm3aeHl5eXt7V6pUiaMkAQC0FEpbUIuuzvIlNlxE01moAmephM/JyWm6SGJi4vXr12/dukU+rHfv3sXHx2dkZGRlZZmamtr8T+XKlV1dXV1cXOrUqdOwYUMTE3TdAADyoX8E0GU4SyV8ZcuW7S6i6UQAAHQBSlsAAAAA0BEobQEAAABAR6C0BQAAAAAdgdIWAAAAAHQESlsAAAAA0BEobQEAAABAR6C0BQAAAAAdgdIWAAAAAHQESlsAAAAA0BEobQEAAABAR6C0BQAAAAAdgdIWAAAAAHQESlsAAAAA0BEobQEAAABAR6C0BQAAAAAdgdIWAAAAAHQESlsAAAAA0BEobQEAAABAR6C0BQAAAAAdgdIWAAAAAHQESlsAAAAA0BEobQEAAABAR6C0BQAAAAAdgdIWAAAAAHQESlsAAAAA0BH/D5ZEqSVRGAf0AAAAAElFTkSuQmCC)
Үй жұмысы №5.
Тапсырма №1.Санды 3,4,5,8,9,125-ке бөлгендегі қалдықты табыңыз.
278456789
321792413
314297123
987654872
Практикалық сабақ №6.
Тақырыбы.Есептеңіз.
Тапсырма №1.
а) 17/10=1.7
б) 17/100=0.17
в) 17/1000=0.017
Тапсырма №2.
а) 0,11(7)=
б) 0,(37)=37/99
в) 0,18(0)=9/50
c) 0.14(9)=0.15
Үй жұмысы №6.
Тапсырма №1.
(-2)*3+(-4)-7*0+1=
(-6)/(-2)+(-8)/4-(-2)=
5*(-3)*(4-(-3)-7)=
(-1)*(-2)*(-3)*(-4)*(-5)=
Практикалық сабақ №7.
Тақырыбы. Жай бөлшек көрнісінде жазыңыз.
Тапсырма №1. Теңдікті дәлелдең
а) 1/2+1/6+1/12+1/20=0.8
Тапсырма №2.Жай бөлшек көрнісінде жазыңыз
А)2,5
Б)2,15
С)0,1212
Д)-17,12
Тапсырма №3.525 –ті жай сандарға ажыратып жазыңдар
525=3*5*5*7
Үй жұмысы №7.
Тапсырма №1.Әрқандай n-натурал сан үшін дәлелдеңіз.
1. 10n+8n-1 27-ге бөлінуін.
2. 32n+3+40n-27 64-ке бөлінуін.
Практикалық сабақ №8.
Тақырыбы.Сандардың ортақ бөлгішін табыңыз.
Тапсырма №1.
D(126.540.630) сандардың ең кіші ортақ бөлгіш табыңыз
D=2*3*3=18
K(270.300.315) сандардың ең үлкен ортақ бөлгішін табыңыз
К=2*2*3*3*3*5*5*7=18900
Үй жұмысы №8.
Тапсырма №1.Сандардың қайсыбірі үлкен.
1/ -1 немесе -4/5
Достарыңызбен бөлісу: |