{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Fees & Trade Costs\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/MiniXC/simple-back/blob/master/docs/intro/fees.ipynb)\n", "\n", "Some strategies can fall apart when broker commissions are taken into account. The `FlatPerFee` and `FlatPerShare` fees come with simple-back, but you can define your own fees by extending the `Fee` class." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "!pip install --upgrade simple_back" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from simple_back.backtester import BacktesterBuilder\n", "\n", "builder = (\n", " BacktesterBuilder()\n", " .name('AAPL without Fees')\n", " .balance(10_000)\n", " .calendar('NYSE')\n", " .compare(['AAPL'])\n", " .live_progress()\n", " .live_plot()\n", ")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "bt = builder.build()\n", "for day, event, b in bt['2015-1-1':'2020-1-1']:\n", " b.pf.liquidate()\n", " b.long('AAPL', percent=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flat Fees" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, selling & buying AAPL at every open and close results in the same as simply buying it once and holding it. But for many brokers, this is not realistic. Let's assume we have to pay a flat commission of 1 dollar per trade. We can do this using `FlatPerTrade`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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396677mLo0KGMGzfOpa4nnniCZcuW0b17dyZPnsxnn33G9ddfz9VXX83QoUNJT0/n8ssvp2fPnnTt2pU5c+YUnvvSSy/RoUMHrrjiCnbu3OnyeQ4fPpxevXoxcODAwh77mjVrEhcXx5o1a3z6DIUQQggh7M6pUSzsnvt+G9uPpvq1zk5No3n26s4lHvPtt98yfPhw2rdvT0xMDOvXr6dnz56A6T0eO3YsAwcOZOfOnSQmJtKwYUOX85OTk1m1ahXPPPMMSUlJXtu0YsUKxowZA8CECRNYvnw5I0aMYMyYMcyfP5/du3ezZs0atNZcc801LF26lAYNGvDVV1+xYsUKQkNDuffee5k2bVqRoBYgOjqaNWvW8Pnnn/PQQw8xd+5cHnzwQR5++GEGDBjAwYMHGTZsGDt27ABg3bp1LF++vEjv9SuvvMKkSZOYO3cuAJ999hkrV65k8+bNxMTEkJeXx+zZs4mOjubkyZP079+fa665hvXr1zNjxgw2bNhAXl4ePXv2pFevXgDcddddfPDBB7Rr147Vq1dz7733snDhQgB69+7NsmXL6Nu3r9fPUAghhBDC7pwNkANl+vTpPPTQQwDceOONTJ8+vTBAnjFjBrNnzyYoKIjrrruOr7/+mvvuuw8wucM9evQgKCiIJ554gs6dO7N48WKv1zt27BgNGjTwuG/+/PnMnz+fHj16AKZ3e/fu3WzevJl169bRp08fADIzM4sE6g5jx44tXD788MMA/Prrr2zfvr3wmNTUVNLS0gC45pprfE7tGDJkCDExMYAZhu2pp55i6dKlBAUFceTIEU6cOMGyZcsYNWoUNWvWLKzf8V5+++03rr/++sL6srOzC9cbNmzoMQdcCCGEEAKA/cuK3XXOBsjeenorQnJyMgsXLmTr1q0opcjPz0cpxauvvsqWLVvYvXs3Q4YMASAnJ4fWrVsXBsgDBw4s7F0tjRo1ahQ7dJnWmieffJK7777bpfydd97h1ltv5eWXX/Zav33kB8d6QUEBK1eu9BgIR0ZG+tx2+7HTpk0jKSmJdevWERoaSlxcXOH78jT6REFBAXXq1GHjxo0e687KygpoDrYQQgghqqiE5fDZVSUeIjnIfjRr1izGjRvHgQMHSEhI4NChQ7Rq1Yrly5czffp0Jk6cSEJCAgkJCRw9epQjR45w4MCBcl2zY8eOhbnB7oYNG8ann35Keno6AEeOHCExMZHLL7+cWbNmkZiYCJgH/Yprx1dffVW4vOiiiwAYOnQo7777buExxQWpdrVq1SrsZfYkJSWFhg0bEhoayqJFiwrbM2jQIGbPnk1mZiZpaWl8//33gEn9aNWqFV9//TVg/hjYtGlTYX27du2iS5cuXtslhBBCiPPMnPu9HiIBsh9Nnz6dUaNGuZSNHj2aL7/8khkzZhTZN2rUKI8jXdgtWLCA2NjYwtfKlStd9l911VXFpmIMHTqUm266iYsuuoiuXbsyZswY0tLS6NSpEy+++CJDhw6lW7duDBkyhGPHjnmsIzs7m379+vHWW28xefJkAN5++23i4+Pp1q0bnTp14oMPPijxPQB069aNkJAQLrzwwsJ67G6++Wbi4+Pp3bs306ZN44ILLgCgZ8+e3HDDDXTv3p3Ro0czcODAwnOmTZvGJ598woUXXkjnzp1dHuxbsWIFV1xxhdd2CSGEEOI8ExTs9RClta6Elvhf7969dXx8vEvZjh076NixY4BaFDgDBgxg7ty51KlTx6/1xsXFER8fT/369f1ab0XbsGEDb7zxBl988UWRfefrd0QIIYQQlpm3wvY5cM07qF7j1mmte7sfIj3I54DXX3+dgwcPBroZVcbJkyd54YUXAt0MIYQQQlRFBXnQqDP0vKXYQ87Zh/TOJ/369auQehMSEiqk3ormeBBSCCGEEKKIgjyvaRbSgyyEEEIIIc4fBXkQFFriIRIgCyGEEEKI88PpA7DnVwgqOYlCAmQhhBBCCHF++GiwWba8qMTDJEAWQgghhBDnhzrNzfLyZ0s8TALkCjB79myUUh6nOp48eTIRERGkpKQUli1evJjatWvTo0cPOnbsyHPPPVdYPmLECK/Xe+ihh1i6dCkAl112GR06dKB79+507NiRDz/80E/vCj766CM6dOhA586dee+994o9buLEiUyaNMmlLC4ujpMnT5ZYf1RUlMfy8ePHM2vWLMBM37179+5StlwIIYQQ571FL8PRDdDqUvAwS6+dBMgVYPr06QwYMMDjJCDTp0+nT58+zJ4926V84MCBbNiwgfj4eKZOncq6det8utapU6dYtWoVgwYNKiybNm0aGzduZMWKFTz++OPk5OSU7w0BeXl5PP3006xdu5atW7dy5ZVXlrvOsrjnnnt49dVXA3JtIYQQQlRTWsOSV8x6cJjXwyVA9rP09HRWrFjBJ598UiRA3rt3L+np6bz44otMnz7d4/mRkZH06tWLvXv3+nS9WbNmMXz48GLbEhkZSXCwGcrE3kM7a9Ysxo8fT1paGq1atSI3NxeA1NRU4uLiCrft8vLySE5ORilFXFycT+3z5I033qBLly506dKFN998s8h+rTX3338/nTp14qqrriqcEhvMHxK//voreXl5Zb6+EEIIIc4zC55zrvsQIJ+74yDPewKOb/FvnY27wh9fKfGQb7/9luHDh9O+fXtiYmJYv349PXv2BEzv8dixYxk4cCA7d+4kMTGRhg0bupyfnJzMqlWreOaZZ0hKSvLapBUrVjBmzBiXsptvvpnw8HB2797Nm2++WRgge1KrVi0uu+wyfvjhB0aOHMmMGTMYPXo0oaGuw5/k5eXRrVs3Ro4cyaJFi4iJiSmxXZMnT2bq1KmF20ePHgVg3bp1TJkyhdWrV6O1pl+/flx66aX06NGj8NjZs2ezc+dOtmzZwokTJ+jUqRO33347AEFBQbRt25ZNmzbRq1cvr5+PEEIIIc5zib/D8snO7fbDvJ4iPch+Nn36dG688UbA5Mvae4pnzJjBjTfeSFBQENdddx1ff/114b5ly5bRo0cPhg4dyhNPPEHnzp19ut6xY8do0KCBS9m0adPYvHkzBw8eZNKkSRw4cKDEOiZMmMCUKVMAmDJlCrfddluRY5588kluueUWHn30Ua6++moyMjKYOXMmf/vb3zzW+fDDD7Nx48bCV9OmTQFYvnw5o0aNIjIykqioKK677jqWLVvmcu7SpUsZO3YswcHBNG3alMGDB7vsb9iwYWHALYQQQghRotMJzvUOV0HPcV5POXd7kL309FaE5ORkFi5cyNatW1FKkZ+fj1KKV199lS1btrB79+7CWd5ycnJo3bo19913H2BSB+bOnVvqa9aoUYOsrCyP+xo0aEDPnj1ZvXo1LVu2RNkS0u3nXHLJJSQkJLBkyRLy8/Pp0qVLkbp+/vlnHnzwQeLi4khMTOT6668nMjKy2AC5OFprn45TJSTPZ2VlUaNGjVJdVwghhBDnqQIrbfQvy002gA+kB9mPZs2axbhx4zhw4AAJCQkcOnSIVq1asXz5cqZPn87EiRNJSEggISGBo0ePcuTIEa+9u9507NiRPXv2eNyXkZHBhg0baNOmDQCNGjVix44dFBQUFHlIcNy4cYwdO9Zj7zFAjx49+PzzzwF45JFHSEtLY9u2baVOcxg0aBDffvstGRkZnD17ltmzZzNw4MAix8yYMYP8/HyOHTvGokWLXPbv2rXL5x52IYQQQpzncjLMMjjc51MkQPaj6dOnM2rUKJey0aNH8+WXXzJjxowi+0aNGuVxpAu7BQsWEBsbW/hauXKly/6rrrqKxYsXu5TdfPPNdO/enV69ejF+/PjCIPaVV15hxIgRDB48mCZNmhQ55/Tp04wdO9ZjO9588002btxI586d6du3L8OGDaNPnz48/PDDJbbfXc+ePRk/fjx9+/alX79+TJgwwSX/GMzn0q5dO7p27co999zDpZdeWrjvxIkT1KhRo0j7hRBCCCE82jYbasQ4x0D2gfL1lndV07t3bx0fH+9StmPHDjp27BigFgXOgAEDmDt3LnXq1ClzHbNmzWLOnDl88cUXfmyZ/02ePJno6GjuuOOOMp1/vn5HhBBCiPNS0k74d1+47Em47Ikiu5VS67TWvd3Lz90c5PPI66+/zsGDB8scID/wwAPMmzePH3/80c8t8786depwyy23BLoZQgghhKgOjm0yy86jSj7OjQTI54B+/fqV6/x33nnHTy2peMXlSAshhBBCFJGXbZahpXu4X3KQhRBCCCHEuSnfmk3Yh8lB7M65ALm65lSLiiffDSGEEOI8c2yjWZYyQD6nUiwiIiJITk6mXr16JY6jK84/WmuSk5OJiIgIdFOEEEIIUdHWfw4165slQFhUqU4/pwLk2NhYDh8+7NMUzeL8ExERQWxsbKCbIYQQQoiK9t0Drtsh53EPcmhoKK1atQp0M4QQQgghRCCF1YKctDKffs7lIAshhBBCiPPEnl8hN9OsH1oD+Xl+qfac6kEWQgghhBDnib0LYepouOwp6DgCPhliyvtMgLxM53GRDUpdtQTIQgghhBCi+jmy3ixz0uD9i53laz92Pe7/Npa6agmQhRBCCCFE9bL9O1j4gllPL2ZwhpHvQ6drISyy1NVLDrIQQgghhKg+Cgpg3mPO7ZRDzvUBDzvX68aVKTgGCZCFEEIIIUR1cnAlpB0z6w06woEVzn1NLnSul3LsYzsJkIUQQgghRPWhbOFr0g7nercbIKK2c7tmvTJfQgJkIYQQQghRfUwZbpZBIWbECodmvSCkhnO7VpMyX0ICZCGEEEIIUf2M/QouecisN+luguXQCOf+oLKHuTKKhRBCCCGEqB7Wf+Fcb94XIqLhmWQItkJaew9yOUgPshBCCCGEqPoSf4fv7jfrAx81wTE4g2Nw9iAHh5XrUl4DZKVUc6XUIqXUDqXUNqXUg1b5RKXUEaXURut1pe2cJ5VSe5RSO5VSw2zlw62yPUqpJ2zlrZRSq5VSu5VSXymlyveuhBBCCCHEuWXRS871pJ2ej3EExvaH9crAlx7kPOBRrXVHoD9wn1Kqk7Vvsta6u/X6EcDadyPQGRgOvKeUClZKBQP/Bv4IdALG2ur5l1VXO+A0cEe53pUQQgghhDi31GnhXO90redjIuqY5WVPlutSXnOQtdbHgGPWeppSagfQrIRTrgVmaK2zgf1KqT1AX2vfHq31PgCl1AzgWqu+wcBN1jH/BSYC75f+7QghhBBCiHNO4u+w8l2IjoWHt4JSno8LqwkTU8p9uVLlICul4oAewGqr6H6l1Gal1KdKqbpWWTPANqUJh62y4srrAWe01nlu5UIIIYQQ4nxXkA+fWhm7qYeLD479yOcAWSkVBfwPeEhrnYrp4W0DdMf0ML/uONTD6boM5Z7acJdSKl4pFZ+UVMy820IIIYQQ4tyxeSZknTH5xTdOr5RL+jTMm1IqFBMcT9NafwOgtT5h2/8RMNfaPAw0t50eCxy11j2VnwTqKKVCrF5k+/EutNYfAh8C9O7d22MQLYQQQgghziHHNpppo5+snN5j8G0UCwV8AuzQWr9hK7dPTzIK2GqtfwfcqJQKV0q1AtoBa4C1QDtrxIowzIN832mtNbAIGGOdfyswp3xvSwghhBBCnBMK8k3vcSUFx+BbD/IlwC3AFqXURqvsKcwoFN0x6RAJwN0AWuttSqmZwHbMCBj3aa3zAZRS9wM/A8HAp1rrbVZ9jwMzlFIvAhswAbkQQgghhDjfFeRBUHClXtKXUSyW4zlP+McSznkJeMlD+Y+ezrNGtujrXi6EEEIIIc5zOh+CKnfyZ5lJTwghhBBCVF0F+aAqtwdZAmQhhBBCCFF1FeRXeoqFBMhCCCGEEKJq0rpq5iALIYQQQghR6bSGt7rBmYPQvH+lXlp6kIUQQgghRNWTc9YExwBNe1TqpSVAFkIIIYQQVc+Wr53rEbUr9dISIAshhBBCiKol8wz88KhzOyK6Ui8vAbIQQgghhKhastPM+McO4RIgCyGEEEKI89mGqa7buRmVenkJkIUQQgghRNWy5BXX7bzsSr28BMhCCCGEEKJqazekUi8n4yALIYQQQoiqpXZzaNwVxk4PyOWlB1kIIYQQQlQdu36GlEMQHBqwJnU4k18AACAASURBVEiALIQQQgghqo6fnzLL7PSANUECZCGEEEIIUXW0uMgsr34zYE2QAFkIIYQQQlQdQcEQ2RDqtAhcEwJ2ZSGEEEIIIdylHYeQiIA2QUaxEEIIIYQQgaM17PgOMpLhcDzs+gkGPBLQJkmALIQQQgghAufUPpg5zrkdEgF/eLrCLpeUls0HS/by7YYjxR4jAbIQQgghhAicnLOu23lZEFxxIep9X65nzf5TJR4jOchCCCGEECJw8nNct9tcXqGXO5Ga5fUYCZCFEEIIIUTg5GWbpWPUijGfVOjlOjWJBuC5azoXe4ykWAghhBBCiMDJTjPLUR9CZH2oUbdCL5ebr+nUJJpbL45jfDHHSIAshBBCCCECJ+OkWUY3gbpxFX65vIICQoNVicdIioUQQgghhAics1aAXLNehV9q46EzLN6ZRHCQBMhCCCGEEKKqyjoDQSEQFlXhl/rzx6sBGN0rtsTjJEAWQgghRMUrKID5f4fTCYFuiahqcjMhNBJUyb265bVoZyIRocF0bVabm/u1LPFYCZCFEEIIUfFO74ff3oEvbwh0S0RVk50GYTUr9BJaa26bspaT6dnERIZ5PV4e0hNCCCFExcvPNcuTuwPbDlF1LHwRlr5m1tteUWGXyc0voN3T8wq3w0O89w9LD7IQQgghyk5r39Imzhwwy9AaFdocUY1sn+Ncj25WYZeJTzjtsn1j3+Zez5EAWQghhBBl98Oj8NaFkLy35OOObTbL+u0qvk2iajixDY5v9bxvyWtwclelNCM9Ow+AxtERfHFHXwZf0MjrOZJiIYQQQojS0xpm3Q7bvjHbGaegXhvPx+bnwaIXzfrRDWY7WEKQc977F5vlxBTX8rxs5/fBobjvjh+kZZn0nqkT+tK2YS2fzpEeZCGEEEKUXtpxExzXb2+2c9JMnvGhNUWP3f2z6/as8bBhWoU3UQRQQYHres5Z53bKYed6lzFwzbvQ/74Kaobms98SaBQdTmxd3x8ElABZCCGEEKV35qBZDvwrqCATGG+cBp8MgW3fuh677jMIqQGXPGi2d3wPc+6t1OaKSlaQ51xfMRn+2RSyrJ7kvGznvvBa0POWCrujsHR3EpsPp/D48AuICA32+TwJkIUQQghReo4AuWl3M4ZtVgqs/tCUHVjhPC4rBXbPhwtvhDoljz0rziH2AHmnNYLE6v9A6jHIzXDuq+CHNk+m5wDQJy6mVOdJApAQQgghSi8j2SwjG0BImOkVTNxmyuzB0f5lZlk7FkLCK7eNInDs3wFHz/Gil8zLLji0QpuRnZcP+Da0m50EyEIIIYQovdQjZhkWBSERcDbJue/wWud61hmz7Hq9a9DkLuOUCZbCfXuISlRx9p91SaNVBFfMH005eQWEBCl+2nocgDAJkIUQQghR4Q6tgQYXmN7jmjGQcsi57/gW2LcEWl8KS141ZTXqQkS0ax2//wg7voM/PAXT/mTqeOqIqfvkLujx58p7P8K/CvJ9O05VTLbvDR+uZMPBM4Xb0RGl66mWHGQhhBBClF5uBtSNM+sNO5vh2xxUEOxfaoIkxwQhjp7h2+c7j5sxFjZNh63/g6QdkJNuyj8ZAnMqZlQDUUlKulsAMOyfZlnH+6QdZWEPjgGCglSpzpcAWQghhBCll5ftzCnuOsZ1X3AYLJsEz9sejFJWgNKiH3R36xk+sa3i2ikCI/WoWTbr7boEuO0nuOg+uHcVdLuxzJdIycxl3Kdr+P14KvkFmtd+/p0dx1LJys2nVnj5kiQkxUIIIYQQpaM1ZJx09gq3G2KC3o1T4arX4dfnIC+r+POVW2/elq+d6+5DxInqKXmPWY5839xpCAoBXWC+F+FRZl/DjuW6xNfxh1i6K4lW9WoSHhrMh0v38e9Fe4kMC+ZsjjPF44LGpc9rlx5kIYQQQpRO0k4zikXzfs4y+zi22amux9+50HW7pLzTr28tf/uEfxxaAxNrw+mE0p/reDgzItrkqQcFme+IIzgup4W/n+DFH3aYS+UW8OHSfYX7HMFx/ahwHhjclrkPDCh1/RIgCyGEEMK7pa/BS00gYQUcWG7K4myBR60mZqk8TMbgPv6xrw9wicBa/7lZ7ltcuvPSjsO8x8x6cJhfmwSQnp3H7Z/FF27vT3bO0jdhQKvC9bdv7M6jQzsQElz6cFdSLIQQQghRsrQTsPBFs77gechOM8O71XUGI1zykCnrdC2kHYMNU51DwbmPdVtS+oVdQT4E+T77mfAzra2VYh5w0xpO74eY1s6y/Dx4vYNzuwImAtlyOMVle83+U4XrPVvWheX7AYiuUfYxlqUHWQghhBAls898dmiVmRCk/72uucShEXDx/WbItz88BY9sh+GvQMsBJnC2y7emGh78TMnXzc/1T/tF2ThGopj3uOf9z9WBt3tA8l5nWdIO5/qYTyskQP7brE2F63VrOoPgOwa0orYtKG5SO6LM15AAWQghhBAl8xSo/uEp7+f1vwdu+6FoL3DN+mYZFgnXfQRXTPR8foEEyIFl9SDnZZZ8mD1HOf2EWY6bA11GV0irDp827fnnqK785xbn6Bhj+zanRpjzu1YvquyTkEiKhRBCCCFK5h6odrym6EgUpdG4i1nm50C3P5n1Jt0h/hPYs8DZYy09yIHVuBts/gq6jCm6L9cWNGeedq6ftaYgj471e3PyCzTX/nt54fY13ZsSFR7Cd/dfQrM6NagXFc7O42l+uZb0IAshhBCiZGcOmmXvO8zyqjfKV1/P8TD8X9D3LmdZmz/ADVNd0znO9wA5aSd8e2/gPgdHrrh7DjnAdw841zNOwZH1MPseZw9yZD2/N+fjZfvYesSMkDL+4jiirLGOu8XWKewtrmn1IAeXcmIQd9KDLIQQQoiSHdtslpc/AyPKGRyDGe6r/1+8H5efU/5rVWf/7muWfe+Epj0q//qFsyPags2zyZC4HTJtM9VlJMMnQ82dhu5/NmMeR9Txe3MSbKNVhId67uMNCzHlzeuWL/dZAmQhhBBClCw7FUIjoUbdyr3u+RwgnznkXHekLVSWzTNN3vjvc822tg3LN/U6OLbRDOvXZTTs+B5yzzrTcA6uNDnm5UnB8WDJriSmrzlEWEgQ39xzMXH1Iz0e17CWGfv4up7lS/HwmmKhlGqulFqklNqhlNqmlHrQKo9RSv2ilNptLeta5Uop9bZSao9SarNSqqetrlut43crpW61lfdSSm2xznlbKT9/qkIIIYQouxPboHazyrlWT9tEIVln4Ju7nSke55McZ28pKYeKP87fTu6Bb+6EWbc7y+wpHid3m2XaMWjWy/QW//aOc/+pvRDZwK9NOnImk1s/XQNA6/qRdGlWuzC9wp1SikeHdqBVMQG0r3zJQc4DHtVadwT6A/cppToBTwALtNbtgAXWNsAfgXbW6y7gfavBMcCzQD+gL/CsI6i2jrnLdt7wcr0rIYQQQvjHjrmwbxFkpXg/1h9GTIZh/zTrq/8Dm2fA2o8r59pViX2s6LkPmXzkynDcOYQaweFmoo9s24Nv9mHbmvXyPDFM8m6/NmnqqgOEBCnevKE7H43r7f0EP/AaIGutj2mt11vracAOoBlwLfBf67D/AiOt9WuBz7WxCqijlGoCDAN+0Vqf0lqfBn4Bhlv7orXWK7XWGvjcVpcQQgghAuH4Fpj7CHx1s9mObFg51w0Khpg2Zt0RmAWVfcKHaqWgAKZcBfP/XnQyldLOZldWpw8412+fZ2ZLzHROxEFoTed6vXau04ZfdL9Z+joRjI8ysvOIighhZI9mNI+p6f0EPyhVDrJSKg7oAawGGmmtj4EJopVSjt+cZoD9XsBhq6yk8sMeyj1d/y5MTzMtWrQoTdOFEEII4avsNPhggGvZn2dV3vXdR03I9s/QXVVeXqaZxvvAcjPsnZ19KLWKkLwXlr0OG6eZ7cf2m0lfatR1HefY3oMcFgnZtjsLkfXh0sehaU/8KbdAE1LOUSlKy+cAWSkVBfwPeEhrnVpCmrCnHboM5UULtf4Q+BCgd+/eHo8RQgghRDmkJ8Kkdq5lTx6G8FqV14YQawa0DKvnMie98q4dSHnZznXHNN0O/kxxyc2EQ6tNikR4LdNz/Y4tqFXBJjgGqBHj/DkAhNl6cEPcJuKoURcGPOy/dlry8zUhQZU7MrFPV1NKhWKC42la62+s4hNWegTWMtEqPww0t50eCxz1Uh7roVwIIYQQlW3Ofa7bf3ytcoNjgCbdzMNfh1aZ7crKfw40+8N4v/zDdZ89eC6v9V/A59fCy7GQnwd7fnHdHxzmXK8ZYz7//DzTyxxim77Z3lk68FEzgUwFyCvQ5R7XuLR8GcVCAZ8AO7TW9sEPvwMcj5reCsyxlY+zRrPoD6RYqRg/A0OVUnWth/OGAj9b+9KUUv2ta42z1SWEEEKIyuQ+fm2nigl6ShReC1pc5Nyu6PSCquDHx+B/E4qWd7vRLD1N1lEWqcdg3t+c2680hy//5HpMTCvnenQzQMOKyaaX+cS2onVGNYLL/+HsdfajMxk5ZOTkERJcxQJk4BLgFmCwUmqj9boSeAUYopTaDQyxtgF+BPYBe4CPgHsBtNangBeAtdbreasM4B7gY+ucvcA8P7w3IYQQQpRWZH0Ij4Y7F0Gv8ZX3cJ67tpc7193TDc41qcdgzX/g5C6z/ahtxIrLnzHL1R/451q73EIsx8yF130MbYdY6x8599ezHpjct8Qss1Ndz390Jzywzj9tc5NfoOn7zwXM23qchrXCvZ/gR15zkLXWy/GcJwxwuXuBNRLFfR6ORWv9KfCph/J4oIu3tgghhBCighXkmZEJmvU0r0CJ7eNcP33A5M2Glm92tCor1cosbdYLYlqbHlkVbCboCLG9Z63LPwFH2nGzDKsFaGd+d9wA6DzKBMD2nmDHiCL2KcDDo+H/Npr1Wo3L154SHDqVQU5eAQDdm/t/Zr6SVG7GsxBCCCGqtoJ8M9RaoNmHE0ND8p6ANaXCpB6D7d85Zwwc/AyM/tgEwY5AODTCSnOgbKN55GaZST+S98LuX2HJv0z5+O+htvUI2Kj/QHQTMwW4e5pErcZmFkX7OMyNukBkvdK3pRSy8/IZ+9Gqwu26kWElHO1/EiALIYQQwknne578obLZHwaDypsoo7Kc3ANvXAAzb3HmWNsfjus8yioLhwuuMuubvyr9dWbcBFv/B98/CNNGm7KWl0DTHhDdtOh13SllerUdPc3974UrJpa+HaWUnJ7DsRTneMp1akiALIQQQohAWfcZnE30eliFq93MBGYjPzApH4783HPFmv8412ffbZb2PwqufQ8e+d306va4xZSVJcVk7wKzTFjmLHM88DfIelivcbeS66jX2ixjWsPwl6FFv9K3o5Semr3FZTsrN7/Cr2lXqolChBBCCCEqRURt+L8NZn3Jv869HuTIBs51x4Nvjbs6y0LCTNoDOEeVyEgu+/Ui6kDWGbNer61ZtrwYJvowhF6MFSCHRZb9+qW0eGeSy3aVG+ZNCCGEECKgYlrBmYOBboX/FBSYhw4Bhv8LBj0GD6w3QbEnYVHmYb30MvTsN7jALK9521k25PnS1eF4UPD4lpKP86MG1qgVr19/IQ1qhXNDn+ZezvAv6UEWQgghhFNIBPS7O9CtcBUcDgW5gW6F/6x8B5ZbU0v0/4v345WCqAZwNsn7se7yc6DLaOdseN3/XPqeYEfPcyVZsOMESWnZXNW1CaN7xTK6V6z3k/xMepCFEEIIYWhtZmwLrtwxZ70KDjEzuVVHWSmQbgtstYblk826fSg7byIb+t6DnHkafnkWTmw350Q1cuYZl2Xil8zKDZBf+9mk00SEBu5hUQmQhRBCCGHk5wK6+Fv9gRIUWn17kF9pYaZ1dji40gSwNevBhF99ryeqoe89yGs+hhVvwvsXmdEnohpCbC946ii0H1a69oNzlI0rJ5X+3DLo1bIuAM9d27lSrueJBMhCCCGEMPKzzdJ9iLVACwoxE5hUV4m26Zk3TTfLPneWro7IBqXoQT7luh3VyCzL+pCd47NvVDkB65nMXJrUjiAqPHCZwJKDLIQQQpzvCgrg0CrnMGIVkGKRlpVL14nzmXT9hYwpbU5pcCicToBt30Kna8s/m1wgrf/cLDuOKN15UQ0h46RvE7m4j3bhGIWirK5+E+I/heb9y1dPMXLzC/jXvN85mZ5NUno2K/Yk86felZ93bCc9yEIIIUR1lrAcUo6Ur45N02HKH+HDy8x2BaRYJKaZ3umJ323zcqQHjoD461thaeXc5veLgoKiZS0vMcuGpeyNjWwAusD7UG9aQ+IO5/bl/4AW5Qxsa8eaeoIqJmzcf/IsHy/fz7cbj7Jij3l/L47s6uWsiiUBshBCCFFdHVkHn10FPz1RvnqOb3bdLkWKxcn0bF6fv5O8fA/BoE2SFSCXacKHnLPO9dUflP78QLGnhUysbXrAD6ww26UNNh3jJk9qB4v/Vfxxu38xP8/Bf4c+E8zMd1Wcp+9EWEhgQ1RJsRBCCCGqqw1TzfLUPti/1IxX27wUIyM47LEeFqtZ39zGL2nqYZufth7nL1PXATCkUyO6xdYp9tj5204A0Kp+GfJg67d3rmecLP35geKeN/31rWbp6EUujaiGzvXF/4TLHvd83NqPoXZzuOQh54x5VVx2nusfV5/f3jdALXGSAFkIIYSojrSGBKs38sRW+O/VZv3ZM95zdNOOw6YZ8OuzruWO4DPEew7ymYwc7vtyfeF2Zk6+1SyNcrt+alYun67YD8DuxHTy8gsIDlJFjivWoL+Z2fQcUo6YqairurysomV9JsBVr5e+rsiGrtvpSWZsZHdZKWZilWoSHAOkZJgRSqbc1oeM7HwGtffwviqZpFgIIYQQ1dHGL+Gkh+mXj64vWuagNSz6J7zeoWhwbOdDgLzv5FnyCzTPXWNyaTccOsPahFO0evJHth9NdTn2i5UHXLbbPj2Px//nltZREvdg79hG388NpIRlRcu6/qlsdbkHw9u/9Xxcfo7PdwCqihNp5g+Jjo2juapbkwC3xpAAWQghhKiKstOds595svBFiO0Lf9sHt8513rY/uqH4cw6vde2JdajfHq62TUUcVstr8xJOmrzgAe3qExUeQmJqNg/NMIHrzPhDhcflF2he+3knA9rWLwymzTGHvV6jWDkZZT+3suTnwcxxZr33Hc7yZr3KVl+EW/rK8c1mUpci182tdgFyYqp5H/Wjqk67JUAWQgghqqJ/xcGrrZyzrgHsXQjHNpme4LSj0PoyiKwHrQbCbT9CaCTsnAenD3iu89Bq53qv28yyeX+4fy30uhWu/wx63w6xvb0272S6CWoa1AonIjSIzNw8jpzJBFxzSpfvMWkbHZvU8t+DV/keAsOqJtvWi96sp1nG9jWzApaFezrK+s/h85FFj8vLrHYBclpWHlHhIYQEV52wVHKQhRBCiKrIMXPcrxMhKxWWv+Hc1+Jis3SMW+zQqJN54O6tbjAxxVmek2GC46WvOcsuedCMb2vXeZR5+WDN/lPUCA0mKiyEiNBgjqU4821/2X6cZ6/uRERoMCdSTflN/Vpy6qyfAltPPadVSW6WMycczB8h0c1g6Iv+qb9eW0jeAwd/cy3PyzHjRXcsw3TSAZCYlsWhUxnM3Xw0oJOCeFJ1QnUhhBBCGFq7btuDY3AGRjXqupaPmeJc3z7Huf7xFfDFSPMAV7uhpqx283I18URqNr3j6hIUpGjTIIqNh84U7juZnsOMNQfRWvPYLJNr3Cg6nF4tY1zqmLflGC/9sJ3EtCz++vUmHpxh0kNSMnM5dMotjWLgX2GE1Zuen1Outle4U/vMg5Ngco7rt4VHtkOLfuWr9+Ht8OguaNTF8/4DK8zIGXXjynedSvLMt1sZ/f5KEtOyaR5Tw/sJlUgCZCGEEKKqOWKGTqP7n4vuu/V7Zw9hrNuQbnWaO3uXHfmvK99znep46Eumd7mst/otWbn5hb1+l7ZvwBlrJAIwY9jO2XSUF+Y6J6yoGWaOnffgwMKye6at56Nl+5m9/giz1h1mzsajAAybvJSBry5yveDlz0C3G8y6ew/yrvlmVIeqInG7WY7/AUZ/5L96azeDWo2K/mHk8IWVclHWKaX9bM7GI8zZ6HkSm5lrD/GzNfQfQNuG3vPeK5MEyEIIIURVc3CVWQ58BIKsERyu/Td0GWMe8rrhC/jrHmjsoSfRftt95zz4+UnX/aG+TwJSnNz8Ao6nZBETaXJdx18cxx86NChcDwsOYsPBM4VDu9l1bBLN9W5TTTvylMEME3c81cPwaOCcAtveg5x5Gr68Hr4eX/Y35G+//MMsG1fQbHBxA5zr7ncbAMKiKua6pfTgjI08OKPoiCNZufk85jaKSdPa5f9e+lPVSvgQQgghzncFBTD/aTObXUxrePo4BAWbh7R62HqUPY2BC2bEhPhPzPr0G133hUZCVOMyNWvToTPM3nCEv1zahr1J6aRl53GpNV5tUJCiSR1zizyuXk3Ss10nyHhhpGsgHxzk+sDZst3OAPneaSUMUxccAirItQf55B6zTC3HqBj+lmr1mkbUrpj6u44xueabpkN2GkREm/LQSMg9ax7aDDD7zIpbj6Twv/WHeeaqTgQFqcKHOQFGdGvCBY1rMWFg60A0s1gSIAshhBBVyap/m2WrS01QXNpUiKtehz88Df/uW3TWuTGfQEjpRzg4fTaHa/9tJiXJzS8gJ89M9DGgXf3CY/rGxfDl6oM0rVM0l/TKLq5BuadOT4d5W4+X3JjgcOcoFj8+Bmv+Y9ajGnl/I5Uhr5Lyo1teYgLkrDPOALl5H/NAZhVIscgrcP6QX563gxV7kunarDbX9YwlO9cZPMdEhnH/4HaBaGKJJEAWQgghqorsNPj1ObhgBNwwtWx1KGWGfrv4fjMCRsNO0PNWOHMA2g8vU5VpWc4e4WmrDwIw+IKGhXnFACN7NKNbbG1a1ovkgz/3YvX+ZKasSAAoMrxbVl6+T9f1NCsfIWHOINQRHAPUcH0AMGCSrR7tnrdW7HUcQfGKt5wz82WnO8sDLNfWg+yYOOaRmZt4ZOYml+MiQoMrtV2+kgBZCCGEKA+t4acnzW1vH8YPLlF2mhnerd0Q79NFe+NIpeg1HvrdXa6qcmzBjsO/b+pZpKx1A5P7OrxLY4Z3aczonrGs2pdMrQjXmfAcwdP4i+P47LeEYq+bm68JC3H7HILDPU/hnHvWy7uoJCnWJCk9PDxg6U91W5nl2o/N+MoX3gA5Z6FW2VJo/C0v39mDfNr2AKe7cH+Nje1nEiALIYQQ5ZG0E1a/b6YVvmdF+eoqsHpqg/zw33PX682t9gtGlLuqjBzXnOK7BrWmRpj3nr8uzWrTpVnRPNzG0SYNo0GtcN4e24MTKVm89OOOIsfl5BcUnVzkbCKs/y9c/ZZreWWlNnjjGN6tfgWnDTTpBm2vMJPHzL7LTDFehaaZzi0o+keVJyWl2wRS1QzbhRBCiOri1D6zLPAtbaBE/gyQg0Og0zUQVP7/6pfsNEOovXVjd+69rA1PDL+gXPVdfWETALo3r8M1FzblzkGt+e7+S7j3sjbUsN1yz80rIcjKPO26XVB8L2WlSjkMNesVPxSbP/35f3DDNLO++gPzGfg5QM7zcPfAF0lpxU/mUj8qnDn3XUKtiBAGd2xY1qZVKOlBFkIIIcoqcQd8/6BZTyraA1pqjiDbHwGyH6VbPcjXdm/ml/p6tKjL7y8Md8k/7RZbh26xdXhv8d7CMk+pHYUK8s1wZjnpZju/igTIeTlmBJLKEul8UJKcjHKPb223YMcJ7vhvPPMeHEjHJqXLbd55PA2Anx4aSFpWHpFhIWTk5LHjeBpj+zQnJDiILROH+a2t/la1fgOFEEKIypB5Gk7th2ZF82hLlJ4Ek9qa9YkpcHSjueVfuD8RosrRI+bPHmQ/0Vrz3cajtKrv35ERfHk4K6ekHuS8LAitaXK/M5IheW/xx1aGU/sgrFblpzk07uZczzjpnzsZlp+3mRFFNh46U+oA2fGAZr3IcC5o7Dy3d1wVeZjSC0mxEEIIcf6ZOQ4++oMzPcJX+5c41/ctgQ3WSBMX3mSW3z3gW1JlymF4fwAc+M213DEBRlDVeLI/J6+AJ/63hWMpWew/WTkPwXVu6gymsvMKWPj7CbLto144ZgpMOQS5maa3NqSGeUAtEPJyYO0n8G5f+O5+E7hXZoAcGgG3fOvcPrnbb1U7RmpbtS/Z4/49iem8MX8n2vad11rT+skf2HIkBcCnXPWqSAJkIYQQ55eDq2D/UrM+7/HS9bjZb+N/fg0cWA4qGK54FmLawK6fYMWb3utJ3AEntsCc+13LTx8wy2j/pDKUVX6B5rLXFtH+7/P4Kt6MyvDA4LaVcu0v7ujHsM5mTOPZGw5z+2fxTF110HnATTNMD/v2OZCTZnrsazU2k3P4sfe0UEl/8Jw+AC82gB8egeBQ80fTvsXQoL1fLp2encf8bV7GhQZofRn0tUYq8WPuc1au+TwdU4C7u+KNJby9cE9hMAwmaHYE1ld2bUykBMhCCCFEgHl7cn7zTPjUNhbw7vnwfAxknPKtfscMaXa1GpvX/fFQvwMcXO29niwroHB/sGzmLWbZoINv7akAKRm5XPzKAhKSMwrLXhzZhUeHVk6bYiLD+FPv5gDsOGbyWJPTbQ98RdQ2022v/sBsRzWC2rEmPeXza/3foB//Ch9eVrQ84xS8ZUtvGPI85GVCdip0GumXSw95Ywl3fbGOvUnpJR+oFHS82qyXd6hBm67WCCRDOxWdhKXANhHIsRTnsHuHT5tZ8j68pRfv3dyr6DjW1YQEyEIIIaqWsyfLNvbTV7fAC/VKPub3HwCr7nq2YbjST3iv/+BqWPTPouXZJogjKMj03u2aZx6WKo7WsPUbs16zvudjAjgT2pOzN3Mi1RmQXnNhU/7cv2WltsExtJtjRuqzblNXu6QwhEc7e9wTNMXZJwAAIABJREFUlvm/MWs/hqMbzCQcdguec93uer1zvYwTstgdPZNZGHg6gs4StRoIt8yGQX8r97UdHDngURFFc+Jf/2Vn4XpSWjYpGbks2HGC46mmzZ09DO9XnUiALIQQoupIOwGvtYHn6rgGyes/h6/+DIteLv42+o7vQBfA2z1c81G1hk0zzEN5R9eb4KXnrXDlq3DjdHNMXvFDUhVKWAo6H26e5Vre7U/O9Rb9nG0pzoybYOcPZj3XLfCpWQ86XOm9LRUoIsTcEq9dw0zu8cyITpXehro1TQC8O9EEpalZbgGyPRDOy4LophXTEPt3MOWQ+eOtIB/2LoJ1n5m0mvvWwD2/QY06zmPDo8p9afvshVNW7HfJ8y1Wm8F+yV8/kHyWE6lZvP7LriL7thxO4bWff2fVPuddl5Pp2YybsoY7/hvPrhNpKAUNa4WXux2BVHUekxVCCCGOrHOuL3wRBv/d3LL+7gFTtuN7E4j0v8f1vENrneun9sGSV2GI1cN3ej/Mts0k1+s2GPiIWd/9q1lu/BKadvfcpoIC0zucetRMZ+xIfwiLgjsXQb02zmMvesBM/ZudBt/cDZ2uhQtsAW/iDtj5I9RuYa53eK3btfKgdvPiP59KULtmKLUiQvj+/gHM336cBgEIdDo3jaZZnRocsNI8Tme4TQLSaSRstx5MyzkLtZo49/38NFz6uH+mXD570rn+Xn/nejMrjSH9hF/TYbTWvD5/F52bRtOkTo3C8sU7k1iwI5ErPKQ6+Nvh0xlc+tpilzL7rHg3fLiSjJx8woKDGNu3Bf9bf5ijZzLZdOgMAAt2JFIvMpzQ4OrdB1u9Wy+EEOLcoDX8OhFmjHWWLZtkgslU6wGhgY+a5ZH1Rc//5R8Q2cC57ZjNDMzQa3ZtL3euN+pslo40CXdH1sHzdeHbeyH+U9ND7ZjCOSjYPIxl77ELtqZUPp0Am2fA1+PN9uaZJsh3BFlXvgZ1WkDmGdfr5WRAWE3Pbakk+QWakCBFi3o1mTCwdUDaoJTiyq7OKZOPp7hNLT1mCtz2k1lvNch1euWV78IrzSHXw3TUpXXmoOfyI/Fmeeei8l/DJiu3gHcX7eGeaes5kerafkdvekVbm1A0Hz/dluISYuW95OQXcHGbeoQEKWbGHy7cf/BUBjGRoUXqqG4kQBZCCBF4madh+WTn9h1Wz+7JXc6h0C4YAQ06muDzt3dNHm/maZhYGw7+Bi0vMWMT978X9i8zPYv5ufCpNRnB5c+aZT3baAzRTcwoFMXNNnfcCrQ3WrOVZZ2BkDC4cpIzQLNz5MaeTjDLKKvH75s7TZqIQ4v+JqDPy4SsVFOWn2se2gsNbICcV6AJ9sPse+V1WQfneNJ7k9Jdx0QOCoKWF5mfd7025iG1Hre4VpC4rfyNyCsh9/eSB4uOVnHnQpiwsMyXc4waAWY0CLtTZ31IAyqndQdOM3fTscLt+Q8PYlD7Bi4PSUaFO5MPesfVJTjI+RBe24YmtWTXicoJ5iuSpFgIIYQIvHzbLfQ+E5xP4u9fZh4+AnMru04L2P0zHF4DKLhzgfO8rmPMsv0wWPUe/P4j1I0zZfXbm7QKR2qFnc434xlf864JtOwcwWqna82wYo5b633v9Pw+HAGyY5QKTw/wd73epIk4HixLO2bSARz5yAEOkL9cXUyvaSWLjnD2Qubma3YnptG5aQkPfrlPrpLmw4OX3ti/l837w4CHoeXF5jsTUqPo8c16lflSvx9PZcEO592O137e6bI/I8d/Q9idzc7jl+0nuLhtPRrWikBrzeVvLGFfkjN3f//LV6KUon5kGHttwXpNW4Bct2aYS670yO5NmTR/F4MvqJrTR5eGBMhCCCECL9ca9aFWU+h9uzNQ3bvAvMBMCHF6v/OcBh0gfopZ73ePc5grx0QS30yAlgPM+tVveW/DhqnQ060XMt/qORvyArS4CLrdUHIdwSEQ09o1xcNdCyvNIspKCTmbZN6L4zMI9RB4nYccE0wEKTNhxbajqSUHyCFuudKZPg7dVxLHuNcTFkJs2YNfb85m5zH8TeeDhxe3qcdve83kHM9e3Ynnvt9e8qyCpfT3b7cye4MZsnDlk4OZFX/YJTgOCwkqHJ6tfq1wTqZno7VGKUWkLUAOD3G901AvKpxtzw0rHIWkOqv+70AIIUT15xiH+I+vOPOC3QUFu+aVJv0OG74w6/YH4ULCnGkUB5abZc0Shn97cDM06gILni+6zzG0V1ikeTCwpg/T5Ma0NqkfgMcuZEfQ7uhtdgRhhQFyYHuQAepHVeJMcMVoXT+Sx4Z3YNnjg6kZFsz2o6kln9C4q+t2fo7n43yVm+lMrQmu2JxaezpF24ZR/D97Zx0exfm14Xt2N+5CHJKgAYIHl+LeQpGWOpS6/FqqtKVfhQql7tRoKVVoqeHu7u6QIEHins3uzvfHu5psPECA976uvXbmnXcky4acOXPO88wc39F6jzi0pVDomL3ttLNdK83G46nW4Big89vLS6hV1Au0fQfD/dwpNJjYcDyVtpOXkJ5r+1ztNY6fHdCEIS3D8XLTXfUNeiADZIlEIpHUBr41N865ONH/7fkCjFsgltvc4Xz/4rrB9y0FN3O2sdekspUGAqKhySCRyS0upZVzTjy696hAYGw9XqxtOSMREjfY1qM6QEicWNaYgy6T+RG1RTv5Cjfp6TQKt7a/skoaABqNwiM9GxLp70FcmA8HkssJkGO6Oa5nnhZybFXR1Ab4+2FRVhNYH0KaVu0YZWAyqXy45DBP/b6TfHPt8c/3dWTpUzeg1ShozcGnvVWzg+V2FdmWmG5dtq8f/n5se+7vHkuglyvf3G0zG2kS6gPA+4sPk5arJynNUeP7gR71eWdkCx7t1dChLOZqRwbIEolEIrmy2GsQ25cXPLoFxvwCPSeKuk8Qy/+XBqN/sM0bPQPC2zge0yMAHt0Ej2yEGypgnODiAaiw4XPHgCrngmi0q0zTWmRbx/Xv7Uwj7vzTtqw1P6pOPynOWQtqkA1GEwaTatVCri0EeLo6KCk4nxTjuL7mfZg5HFKPVe2kFkfE+1dckgzyzI2JfLzsCHN2nGHdUSEnZ1+aMNrsJujhomVslxgAFu2rfF31hawCYibOY1tiOov3nbPWNr89ogWhZgm/SH8Pbmhch5eGNGPbpL7EBttuOJuEiQC5uFnL3492BeDFwU25tX29Sl9XbUcGyBKJRCK5sthrzdpnT+s0hrghJedrtCITC9DpUWg+3HkA6xte8cyfuznbvPglSNpoGy/MFk5tlUFbSnlCRBtHbV5LU9n8Z+DoMigy14BewQC5wFzn6uZSu8IDF62GImMFanAtqiH2Vs9Fuc7nlkVRPmSfhV4vORqA1CAXs203hp8uPwpAhJ328eRhzdn1Sn+0GoVR7aIAyClumFIBOr0tavjvmb6ZB2YKnfH2MQHc1qEe9esI1YmJg+LQmLPJxa2hg7zdCPZ24+A5mxTiTa0iaF330nwutYXa9RsgkUgkkuuPC/ttyxUNRv0i4bGtNjOQ6mKfNc6zC9hNBlumt7LH8gwWAdboGWK9uNayzt22PHeCcPoDR03fcig0GHn+j90s3neuctdYjFNpebR4ZRE/bUwEwN2ldmWQdVrFwayiVB7bAo9vh1tm2MaMlQ8qrdn8yt4cVZDcQgNHLti+D41DvXntpuZE2gXIOq3G6mZokU+zl1urKCbzx+aoZSzCv4mD4ojwcychJqDMYzQNF1lkX3cdP43vyKShNV9yUtuQAbJEIpFIriyZ5uYjjwBHR7TyCG5Uc4++7a2K7Y1FDi+0NepVlj4vww3P2Wpj/aMdtwc1hIFTxHJmEiTvBK2bqHmtIDM3JPL71lNMW1XFMgIz/+w8Q3ahgSkLDgLUuhILV62GizmFGMrLIrv72ZwNOz4k3k1VCJAtZT/FlTFqiHcXHbKWS5ycMoTFE27gHnMZhTPcXbQEebmSnFV58xN389OAZ/rbNJsf7SWaWOMj/Vj/Qh/C/cpWTrHUIUcGeNKtUTAhPu5lzr8WkAGyRCKRSCrOoYVwemvNHtNg/qP/+PYr16DWZDAMmiqWTeZGKEOhcM6zl5arCPEj4O5/oO09Yt0rGO6cA6O+c5ynKEIZw8usGbvtB1ELXVyLuQwWmTPH25My6Pz2Mm6ZtqGcPZzz7y7hVmipga1tJRauOg3ZBQYavrSAxNQKlkw0MSubVClANn8nddUPBO+evpn//brDup6SU8gP608C8ESfRhU+Tpife0lHwYrs5+vO0JbhVsvwEW0j6dYouFLHsEi7ldsoeQ1Ru34DJBKJRFJ7SU+EX28VihO7Z9XccfXmgKcGgpEqoyg2jePCTKE8kXa8asfSaKF+T8dAt2EfkSF3Rq5dxroSGcu/dpxmy0mbIkFyZgGbT6ZxqpjKgDMW7Elm3PebiZk4j5iJ86zOZxat3dpWYmFvknHfjAreoFlqvKsi92bNIFdf7m714YvWGxCA79aKG66OsYFM6Ne4tN1KEO7nTnIFA+TNJ9KImTiPZ2bv4mxmAZH+HsRHijr7m9tEVuLqBel51ZTMuwqRRiESiUQiqRifd7Atz7lfuIb5Rgi5ssrW6Vq4cADWfSLKCq5kgAy2gGr5G+K9jrnOsnhpRE0z5AOYZ3b4U2x5q2mrjnH8Yg4P9GhgrUG15425B2gXHcDUUS35dVMS35oDr00n0qgb6DwTn5JTSIc3l1rrUkujuAHElaZuoK0E4MiFCpa8WMpmkndBg16VO2ENZpCL8+VKUQ7z0pDK1fGG+bk7SLSVhaUm/Q+zdnKEvwfNI/w49tZgB2m3ipKaIwLkQK8rr499uahdvwESiUQiqR1knILT2xzHLMHCkPfF+6dt4c0w+HlU1c9zcK7I2N71V+Wk1C4Fxa2Kg81mI6OmX9rzth8Pz50Qbn/Dv7AOT1lwkFlbT9P3g1VsPpHGzI2JxEycR8IbS7mQVUBqrp7ujYJpUMebSUObceLtwbjpNHy/7kSpj8I3Hk91Ghzf3rEeM8fbboCCvS9N7W1V+V+xUoQzGfnl7xQYC67eQt+6sliyztWsQTbafdiT/t7jUENdpiugE8L9PEjPK6KgqHwt5Iz8Iof1qABxg1GV4BjEjRXAp7e1KWfmtUO5/xspijJdUZQLiqLstRt7VVGUM4qi7DS/Bttte0FRlKOKohxSFGWA3fhA89hRRVEm2o3HKoqySVGUI4qi/K4oyvVzeyKRSCS1lY/i4dvetvX8DCjIgJBm0KC349zjK6p+HouL3KXO0laE4gGypTnP0vR1KfEMhHZjrZ+tWszc4pavNvDy3+LPcEpOIR3eEtJdXq62a1YUhc4Ngth3NotBH69x2D9Pb2D9sRRrEx7Abw904paEKL6+qx1v3dyC7o3qMP9/3fno1tY0j7g06g1Vxa1Y0+DuUxkV21HraiuXMBrgh6Gw6euyzUPsNamrmUG2l6b7aWMS99qVh1Q2WA3zFddy/49by6wFLjQY2XrSZrM9vHVEpWuOi/PasOb0jguhXXTZahfXEhW5Xf8BGOhk/ENVVVubX/MBFEVpBowBmpv3+UJRFK2iKFrgc2AQ0Ay4zTwX4B3zsRoB6cD46vxAEolEIqkiqgrznnbMHGecEs1jP40Q6xf2i3KIfpMd9z22QpRLlIdBD7+Mgd2zxbpRL4KYSjSmXTI0WiHNZsES+GsuvzvY5hMiwBlt1r+157mBNlfABiGODoKf3W4zKZk81yafN+STtdz+zSZOp+dbbYTb1PNn6qhW9G9uk5VrFuHL8DaRJbRwaxsFFXWU07qCsVCYsUwOgpNrYMGzsLVYw+TZHTD/OfE78MNQ+PEmMV7NALnQ4Ki6sfqwyGZPu7Ots+llEu4nrmXNkZQSN0D2fL3qOCdT8/h4TGse7tmAqaNalbjBqCxxYb5MH9u+1tWmX0rKDZBVVV0NpJU3z8ww4DdVVQtVVT0BHAU6mF9HVVU9rqqqHvgNGKaI38DewB/m/WcAw50cVyKRSCSXmrM7YMu3jpnj7T/Cf0/AGXPQHGm2oA1v5bjvzOHwRSebXXJpbPkWDi+AOfeJdWNR6cYalxtFgX6vlxy/Atc3b08yGgWeGdCE+nVEEPzi4Di6Ngzizk7RHJw8kPdGt6Jn4xCH/bzddFYt3e/WnqDIaOKGd1dwIsWm/PDdPQns/L9+1Q6ariQFRRUwDQFxA7b9R/i42Pf15FrH9ZkjYPNX8NvtkGi3rZr/9jPMahX2TB+bwMD4SsgZmgnzcwzWL2Q7b9hbczSF1nX9GdY6kucHxjm480kqTnU+tccURdltLsGw5NwjgVN2c06bx0obDwIyVFU1FBuXSCQSyeVi9yxY9zH86eQB3l47a+THt8N9S8VyafrDJ0vPbAE2sww/YaNLQeYVdY4rQevbHdcj29WIkkFl2Hsmkx83JBLm606orzvLn+7JySlDeKBHA36+rxO+7i64u2gZ1S7K6n5mj8VcAqDlq4tJTHW8afHzdMHfs5bclFSCJqE+DG0pAsvCCtThAuAd4tzsQy0WYAeba5wPzXcc11T9JqKgyMgHSw4DMK5rjHW8W8M6VTpeca3if3eedTqv0GDC1+PyP/W41qhqgPwl0ABoDSQD5o4NnD2TUasw7hRFUR5QFGWroihbL16sQtG9RCKRSEoy535Y8n+OsmbhrcV7mtmA4vlEUYtrefQe3gpajhFBs0cg6Mx/vM/tKf08qmpzzdPniPWMJPCvV7M/T3UoXlrQ4YFyd1FVlW9WH+fohexy55ZHocHIvT9sAeCtES2qdIwZ93bgjeHxAOQXCyT7NQu9ak0eFk3owdRRLQGbJbaFvWcyHZzirMR0F7XlwWY5tUb9xXu2nfOgoRBObTJni4v9+xsdm90qiqqqVjk3gIToQACGtgyvckbXw9UxWH9r/gG2nCz5gF9vMOGqlVnj6lKlT1BV1fOqqhpVVTUB3yBKKEBkgOvaTY0CzpYxngL4K4qiKzZe2nm/VlU1QVXVhDp1qnYHJpFIJJJScLGrZ73xI8fGOQ9/x7muXjDiKxE0P30IJp0TOr/Zyc6PbTLBjBth/99iPT8dXvOHE6uE+1ltpfnN5U45djGHN+cf4IU5ZdwcVJD03CIuZBfyxvB4ejYJKX8HJ9TxcePOTtE83NPWXGgpu/jo1tbVvsYriaUspNCuxCKroIihn67luT92ldxBoxXGL74RENXB5lwYN0Q04q1+z2bxbdRjzdGFtgDvMFtmuZKcTM3j3UWHrOt9mobwxvB43hnZskrHc4ZJhdFOjGEy8/R4u1295TO1hSoJVyqKEq6qquV/wZsBi8LFv8AviqJ8AEQAjYDNiFuyRoqixAJnEI18t6uqqiqKsgIYhahLvgf4p6o/jEQikVzVqCqc3iKkpUJbXH7ZsyI7h7LQeHhyN2SfB1M5WTRLCYKbj2iGssdkguQdMOcBSD0qxjo9Chs/t82JH1HtS79klCPzpaoqa46kALAjqYLKCmVgUT2oCR3ilmZjiKkjW3JL+7rlzL460GoUXLSKtUkvLVfPPzvPALD/rBNlB41OOOmpJnMTZpB53AWmRIsGvj3mhtHek2wa2BGtYNjnJY9XQdYeFd+JZwc04cEe9dFpNdzZqfpKLbMe7IxOqzBt5TEW7z9fYvuZjHzOZhbQrJapkFyNlBsgK4ryK9ATCFYU5TTwCtBTUZTWiFutk8CDAKqq7lMUZRawHzAAj6qqajQf5zFgEaAFpququs98iueB3xRFeQPYARRrLZVIJJLrhNNb4bt+YrnFLTDyG8ftp7ZARqKoq7x4CBLG12wQ7e4naoLBVmPsE1rx/aPaCzULe1a9A6um2Nbv+gvqxMH5PdDmLvCqU3kThxpg2YHzrD58kf+7sbkTuS0FUMX1FSNfb2T8jC30aFyHh25owMrDF3ntP1E2YijPfaMCWI6h01ZfRWJgfBhzHulCm7r+5U++inDTaa0Z5AEfreZitpBxK16jC4igWDWKGzVFY/tem4pEcAxw0Sx91+IWoVqxeJLNprqKfL1alCaN6xqDrgbLHTrEilKNoFJ0qgeb1S2u1jKa2kS5AbKqqrc5GS41iFVV9U3gTSfj84H5TsaPYyvRkEgkkuuXbLsKs+RdcGQp/PUA/G+HCF7/fRwu2kmphTSDmK7VP69/tAi8H1rrqAFbWXwjhAPZ+f3wZWfHbQ+sggi7x/v3/Ff1660meXoD4816tPGRfoxOKJZdffaoqJEOiCmx76rDF1h/LJX1x1IZ1jrCKsfm664jq8DA/D3JDG5ReYUCCxYjCV0N3PgoikLbeteebq27i8aaQbYExwBuLk4+M0XrmEG2SPYZ9cIO/PhK21z/etDlcUi4V5QQVRFVVTmVJn6HPF0vjWHxqHaR/Lo5CRDfGUsQnmk2CPF2k0bJ1UVWcUskEkltwGSCnb+IP+CNB0HKIfh5JOSlwpR68Gk7x+AYbIoQVUFVYfW7cHiRUJFoeqMIEAKiISSuasd08YSiPDjgJPiNqHjt64HkLAcHsoqSnJnPwXOlGygAbEtMo+e7K63rz/6xm0Yvzcdkfz6vYKfBMUCe3tb01vu9VVbb4Fdvag7AM7N3sSOpfDvgMxn59P9wFevNj+ItWDLILjWQQb5WScnR88umpBJmKnmFTpQtdG4iQC7MdswgGw2ifCjCzhnO0qBZjeAY4Gymc/m1mqRddCCv3ijsJOxd8ywKJtU1BpHIAFkikUhqBzt+hMMLxaNfZ41BlvpdzyDRmQ/i0XFVOblW1Fsuekk8atbWgLWwt7mpzCL1NuR9eHA1PLq5wodIzsxn0MdraPDifIcAaNG+c7z67z5mbT1VIjCyMPCjNQz8qGyZuR/WJ3LBnHX0cRdZtiKjynE7neDSMJlUtiXagl+LQkSwtxsj2kax4InuuLto+WrV8dIOYeXwuWwOn8/hxb8cG/vOmi2UA71ql9VzbSSzmJ2y3uhEGzmmm3g/v0dkkBVF1CUb8sXvVOwNQpHFo+Yy7UfOixvX3x/oVGPHdEagucxi4V6bIkdcmA8dYgOvK0OPS4XMwUskEklt4MgS8R57gy0zHNsDhk8TChIn1oha3lt/ErbP07qKzFhlUVXIPAUzhop1/3qinrkmzDDczGoUJ9cIy+T291Vq93OZBbz89z7reuwL8znw+kAMJhMPzrS5+6mqyq3tHaXhsgqKrAFTzMR5zH28G/HmJjW9wcRLf+0hOsiTBXuS6dWkDi5aDTebHeMe+mkbBRXQ1Z23J5mfNyURFeDB6XRbGYpl36bhvsQEebLq8EUhtVVGo50lIC/uWGcp/ZBNVuWjN5jwcdORbZZ3K3IWINfrLNQocs6JDDKI35t1H4vl4MbQ/ekaNYPZeSoDjSLc5y4lkf6iznjS33vxcdcxrHUkWQUG67ikesgMskQikdQGivKhTlO4daatUa7V7eAXKR75NhkID6wEvyiRAYOqBcjznoaP7PR1FUXUY9aEGUazYbblwPqV2rWgyEint5ex9IBjZ/6f209z+HwOAGO7xACw9WTJEoYX/nTMxH6x8qh1+URKLrO3nea9xYcxmFR6Ngnh67sTGNQi3KotO3vrKcpjf3IWOo3C57c72gQ/07+xdTk+0o/8IiML9pYidwfM3JhotYG2ZLGLI2tIyye70ICLTsMdHesxuEWY8wBZo4XGA8SyMzlB3whw9wWXmgsqz2cVEujlhp/npTXraFsvgGbhIgh/4redPDVrJ4VFRpk9riFkgCyRSCS1AaNePOZ19xMNYlC6Bqs1QK6g3a4FVYWtxXqsT66D3As1U2Khc4U7zc57ofGV2jW7wBbsNw335cDrAwEh47XrlJBPG9c1hlZ1/Zm97TSP/rKdr1YdIyNPT8zEeczbk0y/ZqFsm9SXhOgANh5Psza8vbPwoMO5etnpC8ebM7WlKVCcSsuj65TlLNybzJcrj+Hv6UK9QJvz34m3BzO2a6x1/X99xL9Zeq6etpOXlLAaPpGSy8t/C2VUT1ct6Xl6h+3B3q7c1qEWGafUQn65vyMAyw9cIDO/CH9PF3zdXUjL1TvfIddsLNa8mJzg4PdEo14NkVVQRL7eiN5gwt1Zw2ANoygK85/ozg/j2gMwZ/sZ9EZpElJTyFtUiUQiqQ0Yi2yau4OmQt2OENHW+VyN3aPiipKVDL/Z2Sh3elRkjzd8Jtar0/BnT8O+8MhGm3NZBcm3a357ok9Da2b3gyWHaRct6kPD/Nyx9K7N253Mkn3n6VQ/yLrfqHZRBHm7cV/3+jz00zaWHjhPbLA3yw9eAGDrpL4s3X+eekG2ANcil7V4/3nevLmkc926oymcycjnoZ+2A6JBzN+cGXyqX+MSJRKWsor9yVmk5ep5Z+FB7ukSwweLD7HuWKq1hnnane3YdCKV2VtPO+yfpzdKk4dy6NIgmKbhvrw5XzSthvt54OmqIyVH71xF5IbnRaa4ySDH8YR7SzonVoFTaXnM3Z3Mp8uP0KdpKCZVrREd64oSHWRrKjydnk+3hjJArglkgCyRSCRXmg2fw6mNIrgECIyFHs+UPt/drGubXarxaEl2zISzIsjjvuUQ1Q4KsoS99KH5Yr2mCGla6V2OXhQB+pd3tGVgvGOAYwkqXbUaBzthvdHEsM/XAfD8wDgGNA8DoGcT4bT60E/b6WjWjf36rnYEe7sxppTs7MXsQpJS8xyCZ7DZ+yZEB7A1MZ3Wdf1RFIWTU4Y4PY4le5eaI7KZAZ6idOWT5Ucd5nVrFMyJlFxyCg3kFBrwdtNhMqnk6Y2XTBrsWsLTznY50MvVetPyyM/bS/7bRLR2rqKiqdiNyJL95zmQnGV9OmDP16uP8dZ88YTCx03Hwr3JaDUK3RpePhWJ2GAv7u0ay/R1whHwZGr5DaeS8pG3GRKJRHIlybkA234Qywn3Vmwfz0BRwrDsdfikjcg+63NFycWePyA3teQ+x5aDzgMm7LcFw+6+ounv/hXCdOT54fyyAAAgAElEQVQKcu8PojnN00ntbasoP14f1hxFUagX6FyCq209mxmGu4uWPnGijGKTWae4cahPqee+vaMImifM2llim8WQ4qMxrXnz5nhmjCtbtt9NpyHA04VjF0WZjLME5WO9GuLtpqNuoDC2OJWWB0CeudlP1h+Xj4OaiN5I3QDPMmZXj/t/3MoHSw6XaOT8b9dZa3AM8P4trSgyqhQUmRjT/vKWyTzZr5G19MdFlljUCPJTlEgkkiuFQQ/vNYKUw9BsOMQ5z0o6pUFv8Z52HDZ/A29FwFc94M/xsH1GyfnZ50Sjn1+k47hGC5Fta+RRc1XJLrDJdXnZZQYXPNGdj8e05p/HunF35xgA3h3Vkr8e6eKQzesQE0ijYgHwV3e1Y0Bz4QL48ZjWxASXrm371s0teOiGBuw6lVFCQi4115YJvqNjdLmNV4qi0CzCl5Opeeb1knPiI0Xdc5BZyi3dfI48c3bcU5ZYlMv7o1tZl7Uahbp2deF3fruJ0+l5NXIe++/DqbQ8klLzKCgycvRCNo//uoNgc4lObLAXveJste2WpxiXC193Fz68VXwmnRsElTNbUhHkbapEIpFcKc7bKS94VvKPWsM+sP4Tsbz5a8fjLXtNBNCWx8oH/oP0E6J0oxZyMsUWzHjZZU+bhvvSNNxRKivAy5UAL1eCvd34ZNkRxrSvy5SRLUscU6fV8MUd7VAATQkr6ZL4uOswmFR+2ZzE7R3qWWuLz2bk4+/p4nBd5RET5MW6oyKLfyotn+12xiGuWg39molSEFedOEeRuUHQUj4iM8jlM7JdFENahvPzpiRubBWBVqMQ7O1GSk4ha4+m0O2dFWyb1LdUS+aKcibDJufX78PV1uXm5ubOPL3BablNTdpLV5R20YHMeaQLraOuLWvxK4XMIEskEsmlID+9fJUJ+1KIfq9X7vh17UwI8tJKbv/6Bvh+CORchN/vFGOtbqvcOZywLTGdoxdyqn0cew7Yud/V8alYQFM30JM/H+7MKzc2L3WOVqNUKDgG8DU7kL30116HgDYtV0+QV+Uk8NoUs3ce8cV66/LKZ3uiNV+TxU46Xy8CY4tLn6xBrhjuLlrGd4u1fp79moU4bD92sZRa3MYDhYRiBUguxRVv31nxnf3n0Rqweq9B2tYLqPB3XlI28rdQIpFIagqTETZNE053X5nd7l5OBW2x/2qTNsKMm4SDHcBtv4Obd+XO5eIuXOq+6gGFZt3kh9YJAxELiWvhvYZi2dUbWt5S+Z/JjgPJWYz8UgR7U0e2ZHRCVAkVh6pgKS2YcW8H6yPritAuOrDa53bG2YwC2kWLZb3RhJuuciUPpUl8NY/wJcLfw7puqRV96KftDq5r9mUmkopTvPb2TEYe4OQ7cvvvFT6mpQbdntZ1/fF01TKybVSJ0h6L5Jrk6kcGyBKJRFJTLH8D1n7gODY5CIZ9Dm3MWVxVhaWv2oLjjg+J2uCq4B9tW67XBcLiYfQMmH2P47zgJnDvwkofXlVVhwB4yCc2G+fn/txNswhfIv09cHPRVCvraanz7RBzaQLeitC5vu3cGXbaxEv2n3dQTKgIGXmipnpg8zAe690QF62GAR+tJqvA0RrZw+64j/6ynecHxgEQ4ittpqtC8XKcfH0ldcKdoDeKrP4bw+PpHRdCuJ97mTeFPZuElLpNcnUhSywkEomkuqQeE+UUevMj3XbjHLeveFu8F+XD+00gaYNYj+4GfV+r+nk9/EXwCzB4qnhvPhxezRSvB1ZBeCvhzudZueDz6Vm7uOu7zQ5jJlVIar1nbpAa+ula2kxewm3fbKryj7D2SAqfrzhKq7r+l8VcoTQahviw/eV+gM00JK9Y6UNF6d8slIHNw3jz5njiI/2IDfaijo8bLw5ylL+LCfLk4zGiTjwlR8+/u87iptPQoE4lnyZIAKzKJRYOnsvi9y1JmEoxgSmPU2l5VnWV9jGBRPh71MgTE8nVgcwgSyQSSXU4sgR+HiWWGw8Erzpw40fiBSJbvPZDeCsK9GYzjjpN4ZENNaMccddfkJEEYSVNLohoLcowKoiqqnyw5DADmofx53ZhYJGZX8SFrAK2mmW10nL19Gsa6rCfxemuKmxPSsekwk/jO1zx4MPF7ELy+5ZTfLvmBMPbRFTpOCG+7ky7y6Yr7arTsOWlviXmKYrCsNaRPPGbkJdbcySFQC/XK/45XK2E+DraRf+4IREQdbnFSyEqwoMztwEwpEU4jUPlTcv1hswgSyQSSVUwGmD6IFtwDHB4YUnL5ibmDne9nVPd6O9rTlbNLxKiO1frEEaTisFoYtOJND5dfpShn661bvt35xn6fbiaF+bYFDf8PF347PY2DseY8PtOPl12pNxzqarKV6uOWRvh9AYTWo2Cj3vZ8mmXA0sN68Fz2ZzJyGetWYli8rDSGwFrgvp1Spegk1SOj25tzT2do5lqp2xS4KSOuDyKjCaOp+TQMTaQz25vI29arkNkBlkikUjKI+eiaHbzDoX294nX6S2QtL7kXG2xQK9ue3h8O2SdEXrHZ7ZDnbjLc90V5KbP1rI/OQvVyZPoGeYsHMCNrSJ4tr8o6SjeTPfXjjMADGkZTv0ySgR+23KKtxccxM/DhV2v9KfQYLRmbq80umLd/5ZmuRtbVS2TXFHmPNyFKQsOsuF4Km3qSomu6jC8TSTD2wit7+f+3A1AUXlqMk7IKzRSUGRiQPMwGRxfp8gAWSKRSMrjlLnGNuc8rHhTvCy0vx+yzkJIHKx5H1rfUXL/oAbiFdsDymhyN5lUVh2+iJtOQ/vYwMvmiGWRrLKnb9NQlh44b5V0W/lMTwezjZggsfz6sOb83z/7rONbT6aXGSCfzxKyWa468bPl6o14uNQO1QatRiEqwIPT6UL7dv0xkUG+1P8O/p6uTrWcJdXj5/s6cse3mygyVD5ALjCIunP3WvLdlFx+ZIAskUgkpaGqYDJAkdnIol5nW4MdCF3hIe/Z1js8WOlmOHu2JaUz7octAIxoG8kHt7R22H4qLY+0XD3h/u64aDQEVFKftzK8eXM8bi4a5u1Opmm4bwknujA/d068PRhFEUFlbLA3fd5fyf7kksG2hYw8PcsPXgCgQG+koMjI9sR0q0XulUZRFN4f3Ypbv95oN2YL5iVXF5YnAoVVCJDz9ZYAWf7bX6/IAFkikUhK4/0mImts4Y7Z4FZGs49PaOnbKoC9Pe6e05n8s/MMT/y2k80v9iHE153n/9xtzWoCLHv6hkumeBDq687nt7flkzFqCftlC5ZHz73jxM8d5utuzb7ao6oqP29KYtLfewGoH+zF8ZRc4l4W0nOd69cea9yOxa5lcHz4ZcvkS2oWy03d9qR0ejSunPWzJYNcW55uSC4/MkCWSCSS4lw8LOyb7YPjduPKDo6rSWJqLhN+3wXA6HZRzN522qpu0OGtZWgUIbNWfJ+aCJAtFr2/P9CJlBw9F7Nt7mHCpaxiNZgtovzYejLdYWzV4YvcM90mF5cQHcCItlG8+Jet6W/ioNpVk23P430aXulLkFSRUF93fNx1ZObb9KcPn88mwt+jXDtvWwZZBsjXKzJAlkgkEnv2/AF/jnccu385RLZzPr+G+HzFUeuyv2dJRQdLcBwd5Em4nzsbj6dhMFZN3xVEl/6jP2+ne+M6BHq5kBAdUCJ7WlligrxYeegie89kOihhAEzo25gRbSOtRgudGwQR4e+OVlHQ1eIMbVyYb/mTJLUWN52GQoMJk0llzo4zPDNb3IRufqkPIT7uTvfJKigiwxxUywD5+kUGyBKJRGLPzp/Fe8J4GPpB2XNrkPNZwlnvm7sTWLTvHACv3tiMsV1jATiTkc+PG07yRJ9GJKXlMfCjNVZDi6rw4ZLDLN5/npOpuRQaTLjVQK2ll5uOQoOJubuTS2x7om8jh/XY4NovbdY8QgbHVzsaRWH21lMsP3CBc1m2JyOT5x7g09tsUoVfrz7GW/MPsvzpGxg9bYPV3VHWIF+/yABZIpFILJiMkHkGGvS5rMExiIxu+5gA+jUL5ft1JwCItgsiI/09eMHsxGZpPqpKgLw9KZ3Plh+1NstFBXiy/2wWbjXQiGaRfpu26hgA349tT4S/x1XX5Lb5xT5k5heVqcYhuTpw0WrwctM5BMdACXe9L1eK72zv91c5jMsM8vXL1fW/lkQikVwqzu6A1wMh5RA0HXrZT5+nN1oDyaf7N6Z7o+BSm9e0GjHPWAV91xFfrLcGxyBqLbMLimokiG0fE2BdHt46gl5xITQJ87kqssX2hPi60yjUx1x/Lbma6dNU2E9bvoO9mohmvYx8vXWO0aSSnldUcmdwqg0uuT6QAbJEIpEALHtdvLcbBwn3XtZTPzN7FztPZVg75ttFBzJzfMdSs1cWY408cyNRRTiXWcAt02wSdfGRvjQN92XD8VRy9cZq1TNbaBTqY224qxd0dQXFkmsTnUaD0agS4e9Ou+gA3rxZWLL3ahLCsYs5jPpyPfvOZpa6f+AllFKU1G5kiYVEIpGkHYdjyyG0Bdz40WU99TsLD/LHttMAPG12qSuPCD8Pgr3dmLkhkcz8Ih7paVNaMJlUNE4ynzM2nGTzyTQAfry3A90bBXPkQg79P1wNUGOayuO7xaJVFEa1i6qR40kk1UGnVTCYVIwmFa2i4ONuC3v6mMspbvpsHQBP92vM+0sOAzCybRQTB8VRx8et5EEl1wUyg3wpyU+HopKaoBKJpJZxZKl47/bkZT3tqbQ8a+3j4BZhNA2vWFOYRqPQr1koB89lM3XhITYdT+W2rzfy86ZEGk9awMK9JZvk1h1NIcDThS0v9aVH4zooikLjUB/2vTaAycOa80SfRk7OVHlctBru71H/kpqYSCQVRadRMJhMmEyg0dhMXwoNphJ192O7xvDVXUKt5q7O0TI4vs6RAfKl5J0Y+HHY5T+vqoLRcPnPK5FcjaQdh6WvgEcgNB9RY4ddvO+c1Va5NE6k5FqX7+4cU6nj929uMyV5Yc4eNhxP5aW/9mIwqTz003YH7dfM/CJ2n86kQ2xgiT/6Xm467uocI5uRJNck7i5aiowq6Xl6tBoFF3P9fpHRRFyYo665j7sLA5qHcXLKEFrX9b8SlyupRcgAecPnsH1mzR+3yPyH8dSm0ucYi+C3O+CLLvD3IzXXDbBwIkwOgio08Egk1xUH/oNP2ggr6XqdRYqpGqw9kkLMxHncN2MLD8zcRse3lrFwbzK5hY43rJtPpBEzcR53mw00HuxRn06V1CDu0sA2/7hdoG2h1WuLeWfhQesygJ9HSX1lieRaxtKkd+RCDhpFQaNR0GkU8vRG9p3N4oEe9Qn2lk87JCWRAfKiF+Hfx2q+VfXM1grM2Q4H58KFfUJ7ddFLNXPuTdPEe1HJP5oSicSOHT/blm+t+o1ybqEBVVWt6hBLD9hUIh76aTsv2bnGFRQZmThnt3X9rk7RvDC4aaXP6abTsujJHg5j0+50NDP5cuUxYibOs65PHFT580gkVzPNI/xoU09kg7V28ohfrz6OwaTSKMSb2Q91YeMLfa7kZUpqITJAtnDxUI0ezrRRBKlrjPHOJ6Qeg+n9Hcc2fg6v+gknr6pSkGVb1udV/TgSyfVARGvx/nIKaKpWYrD5RBrNX1lEnw9WcSG7gABPFw68PpD3R7di8vB4PF21/L3zLNsS03nxrz3EvbyQ4xdz6dcslNHtonh5aLMqX350kKd1eUjLcAbGh/HFHW2dzl08oYfsyJdcl4T7Cce8hOiAEtsSYgKJDfYizM+5q57k+uX6VrGwCyb1v92F6/+21Mxxjy5Dc/A/AIKU7JLbjQZY8Hzp+/85Hhr2FQ1+noGgq0SjwJL/sy0bZIOgRFIm+hzQeYC27NIDVVXZcCyVhiHehPiKP6T5eiP9P1rFqTTxe3b8Yi7HL+YS5uuOh6uWkWYVB6PRxKv/7Wfkl+utx7uzUz3eGN6i2pfv7qLl+YFxfLLsCG8OFzfjg1uEc3LKEFRVZfOJNF79bz+fjGlNo1Cfco4mkVybjGgTxY6kDO7uEuMwvvvV/vi6y7IjiXOu3wBZn4dpWjdrCt017bDI3o6eAc2H2+apKmSfA9/wih97128A/GnsxkjtWviqB4S3hps+Eceb1hUuitrAIYVv0lA5Q5zmFLtChzPN+BpkJME70eJYXZ+Efq/Zjj17HDTqB61vL3neonzY+ycGtOgwoi8sQOaLJJIy0OeBq2e507YnZXD7t7Z+ghFtIjmZmmsNju0p7m53d+cYjlzIIS1Xz4K9wkL62QFx1bxwGw/3bMCDPeqXkHZTFIWO9YNY8ET3GjuXRHI10rdZKH2bhZYY93G7fkMgSflct98Oww9D0WUk8ouhF7frVtg2zL4HUl8WRgGegaLhbdM0uH0WNB5Q8kCqCuf3wfI3YMRXovFuzywADprqgRZI3iVevhHgHWINjjebmrBPjWWfGss/JuAMxPIWi0K/pHGm0GVk3UdQmAVbp0OL0bBvjng5C5DP7oDCLP429mCUdjWFBfkyQJZIykKfC67lG1okZzoGwnN2nLEufzymNUmpeQT7uPHCnD080aehw1yNRrGaExQUGckuMNR4s5wz3WOJRFI2iiJ/bySlc/0FyMdXwoKJ6C4eAGBPs+d4ZG8LmmkSaakcp4d2DyyfjJp2HGX4F7aGt19ugUHvQscHbMda8n+w/UehdwxwdBksn2zdnB/VFc7/Ypu/8m3r4ktF9/KbsRd9m4ay90ym1SdeRUP/849y0n2dbb+t08X7ntm2sfWfisx2v8m2zvsz28R0U2NGaVdTUJCHfKgqkZRBUS64lB4gj/1+M6sPX8SSFP7vsW74e7qwaN85/D1daRbuS7MIm3bxyLZRZVo2u7topZyaRCKRXAVcdwGy+uPNKJg4pwbwkH4CP4/swA/hIew+nYHXkQ/ogeg2Tz26heDiMmkLnoXItrDjJ7jheVj3seP2P8ZZFycX3UGzBvXhvPPrOGCqh5urK9/ek8CptDwy8opoEeXHt2uO88a8A7xbdAtNNYkM1drJxEV342C2K3Fpy2HxJDG24TNhjdvvdetYkipkber8NhheLd1CUyK5bpn7lLhZzjwFYY61wEaTyu9bTrHswHlWHrpoHe/eKJgWUX4A3Ne9vtPDlhUcSyQSieTq4foKkPV56FUNPxgH8V/ow0wd2QovNx2P9hKPRD/46xHYNY/9pmgics+hZidT/AGMadNXaPbMgm3fO4wXqjrcFKF1ek4N4DvjYGZHlNQ1PWkKJUZzHn1oGz7qJ+oQ6wZ6UjdQbL+ve30MJpUpC4aDET4wnOXueim8mtiCEV5RzDl0hlmuZ+igsVPd2PY9+NcDYI8phvohfpBh3pafAR5S8FwicWDrd7Zl85MXCx8vPcwny486jP31SBfa1CvZAS+RSK4+Fj3Zo4SLnkRSnOvqG5KbtB03xUBoi97Mfby7w6NRgIEdWxJT8AsH1Lr4q1nwRScA/qd/jKGFbwCI4LgYD+qfpEnhj6Sp3gC8UzSGSUOaEREmMrnvF40CIFv1oKf+Q2IKfuGpgU3p3zzM6XU+dEMD6/JxNYJXE1sCCnO2i7rHWcaeACzpPFM0/wEse408jwhG6F+nTZTdz3V4Uc1rPFcVVYUjS6T8nOTyknNBKMccXykacSeL30uCm4j3GyY6TN90Ig2Ad0e15OSUIZycMkQGxxLJNUSTMB9igsvvPZBc31xXGeSk06dpCtSLbuB0e7MIX05OGcKCaWvg3FqUQiEDlxbWlWENfKGYCtzvhp6sNcWzyNSBm9tE8uDOp3BRDCT6tueDbrGk5OiJLfgJFQ2/GXuRja1bvk3dsv/gTh+bQFJqHq/+tx8Qj267NAiioMjIH8d7sMLYmtQVWgaHP8IXiLrolzNvoggd9UO8bQf66wFY8x7ctxTc/Sr5idUwB+fB73dAdDcYN6/8+RJJdUncAN8PdBwzFor34V9AVIJ1ODOviA+XHmbnqQyGt45gdELdy3ihEolEIqlNXFcBclGeqMf19vEtc94Jv45w7ksAntA/wtS7e2EqyrMGyJOKxvGTsR8ADUO82fVwF/w8XOh9OoPjF3P55qbmKIqCt5sOFQ2j20Ux2/wUd+lTN+DhqiWgHMH+3nFCkuam1pEcu5hD+xhRg6GqKiO+XM+OJFH8sSnZCGZ980Um8cfeTSu2FaouuClFkHIY5jwIY36ptpVuldHnwnGzWkjiWvj7URj8boUktiSSKpGXVjI4BnhsK5zeApGOrnOv/LuXv3eexd/ThReHSMc5iUQiuZ65rgJkj3PbyFY9cA2OLXNer4QWcAh+MfQiP24kob7uZORpeET/PzLxYp2pBbd1qMeQFuFEBXhYJZu+H9seg0mlQR2RwfVw1bJtUl8CPF0ZnVCXEB+3Sj/WCfRyJdAr0LquKAq3JtRlR1IG08cm8NgvO6zbcvBk4ZPdychI54gpkmeKHmTqo7fR5NtGcHgB/Pc4DPu8UuevEQoyYUo927pGBzt/gvgR0FDae16zGIuEnXryTiFzGNsDwlrCrLvh7r/BL6pmzpN5Box60LrCgueg/xsQGAu/3Gqbc8cfQnGmzZ0Q3Ei87DiTkc/fO88CsPKZnvh7SoFEiUQiuZ65rgLk/IxzXFSCiKlTdnmDd1AELQu+IS46gll3i6xsoJcr802iJnnHy/2cZoCjg0oGv0HewgWvQ2xgiW1V5db2denRuA4R/h7893g3MMe8z/RvTFyYL+tz9PTTvwvAgM+2MLf/V8SvfhDSE4WZyF8PQd9XINB5J36NUpQvHnNbaNAHhrwHn7QRMnUAFw7An/fB+b3QqD/c9psIqg4IN0K6PikbDa9G5j8D236wre/82bZ8YrVzLe/KcG6POP6Wbx3HD86F+5bD6c1QJw7uXSS+P436lX6pu5MBeGdkCxkcSyQSieT6CJD1G77CZdHztERln7ZpuaL6dQM9+WjsDcRH2mp2FUXhyJuD0GmUKy4urigKEf4egHAC+sowBF/yuK1DPafzhy72YWNUJ8KMeji1Cfb/DXmpMHbupb3QQwvhV7ssXlgLTg35iQhPI1qA3AtifNM0ERwDHFkMrxe7mTi+Ch5YgeQqwz44Dm8tbnosKNXUAjboYVq30rd/21u8955U5s1Vvt7Ie4sP8d3aEwR7u3KLrDuWSCQSCde6isW5PVCYTf7SKSgIJYej3m0rtGvvuFBCfNwdxly0miseHBcnxNedtw138ILhfgLNWe26gaKud+KgOCb0bQzAvvOF5ORkgZvZOiRLPE6muNZzTZLqKJW1tfcvdJ+6gsmLk8DFE3LMGrNnd5bdQHh2uwiIJLWHBROFIsTqd0v/DtXrIt6fOQIProLHt4tSBxDNo9XBYuCj0UHfV6HlGLhzDjx7DDo/BpEJ4mlFkyFlHuadhQf5bu0JAO7sFF3rfr8lEolEcmW4tjPI5gyTJfTKV11xie545a7nEmP541430JMdL/fD39MFRVE4fCGbxP2hdMtYIZrlALUoH2Xe0+Lx9P+lgaaMjF56IhxdCk1vAu86wjmwIBMCYsq+INVoW9S4MP9QDgA/rD/JhIBA/DZ+Dj2eEZnFbhOEo1lIHATEwrSuYkdXb9DnwLndDooDkivMJtHEyvI3xGvMLxAaDz5hoHODuRMgaT3EjxT26gBBDRzrjk2mqjWNznkQdv8mll9MBl2xkogBb1b4UDrz06SXhzZjfLeyexMkEolEcv1wzWaQczfNcFh/2ONdXmy2hMbdRlyhK7p03JIQxYDmoQ5jAV6u1oD5s9vaYAxsgJtaCDNuBEDJPmur3dzu+FmV4OOWMO8p+KqHWP+sA3zcqvwLyzxjXcw1apm+7oR1fWa2WUFgoznQ8o+GG56FpjdCWLztGA16ife5E8o/n+TyEdLccX3ZZPE9mT4Qlrxis0cf9K7jPJ2bbfm9RrDz18qdV1VtwXH9XiWD40riotOg0yjc2zWmWseRSCQSybXFNZtBLlj0OpaWuRejf+PDO/vj7lLNusdaytRRZQeriqKAzqP0CRcOlr4tzRbUkn0W3q4HhWb7alWFMh5Jm87vs96BeSsFACREBzB1VEt6v69yn9c63FdPBWDRoQzWnN5Dn7hQesWFwPAvUZe/gaH787gc+E88SpfUHrLOQNxQ0RAHcPGAeD+7XbwAJuwHr5JukvxfmrgpmzsB9v4JrW9zcvxkWPUO+ISDuy+ENIX6PUVDJwh79d4vV/vHyC004OWmk6UVEolEInHgms0gB5lSAPjaNIw3xw68ZoPjiuLq7jxAzg4u1jxlT2EOzLpLLEd1MI9l2rYvnlT6CTPPoElcy3aTsPFeYmxLp/qB/PFwF+r4uAEKeTpb3fFf+zL4aWMS437YwndrT9B7aQSxF96l0SdJpET1A0NhRX9UyaVGnwsFGRDZFp4+BD1fcNweECOUSPwine+v0ULCvVCnKRxdIoLeNyPgtztsc3b9IizUV74FCyfCj8Pg/H5Y877YnjDOefBdSXIKDXi7yZsviUQikThyzQbISxG1xvUHPymzQ0BISAQAZ91sLoJ9Ct9l7rkAjKnmLPEnbUXjVeJ6MBlh9ljR6AjsqjO05EE3fAaF2bb13BShewuwYyYA0w2DaFnwDY8UPcmMe0WQ7e2mw91FQ6HqYt11sclWXzx57n6Op+Ra1+eeVODCPhFAXS2B8k+jxGdZVnb+aqVAOEziESBqjm94Hro9BTd/DS+chid2QZNB5R/HUj7zRScoyhXZ6MJsmFoflr0utsWPss3/qjvsNTf5BTeu9o9hMqnkFRrxcru+b54lEolEUpJyA2RFUaYrinJBUZS9dmOBiqIsURTliPk9wDyuKIryiaIoRxVF2a0oSlu7fe4xzz+iKMo9duPtFEXZY97nE6UGotmCg4vpyyYA+nRsU93DXRMYzQ11W/NCOGoSwfIxNZJMvFHz00GfB2nHxOTvB8GXXeDYMuv+n29KFwv+0SiMOsYAACAASURBVGzw7scWU5xY3zNblFps/xHebQDf9IK1H8EZYR0419SJLLxA64KbTgQiiqIQ6uvOtmwhv5WuenNrhxga1PEi0t+Dm1pFOFz7BwZzkHRwLrwRUtMfTc1gMoqg+MfhIog/ukSMl5adr40cXSZqh1OOlD3PYtWsNdcTK4rQ1W51q00lpSIMeKvkWNImIUEIkDAeRn0Hr2SIdZPBNs+ljJKhCtDhzaXUf3E+C/edo8ioVutYEolEIrn2qMizxR+Az4Af7cYmAstUVZ2iKMpE8/rzwCCgkfnVEfgS6KgoSiDwCpAAqMA2RVH+VVU13TznAWAjMB8YCCyoyMWnnj6C6/TenPVrS72x3+HhF0zByS24/zbaOkdmjwVGv2ju1L/ALlMDVCBCEUFIujYInVok6j3tueiY+VxuasPXhiHscLuDBecgXjnOXLdJorb574dhl12z1dJX7PYUn3/xIGRwi3AmrRxHL/cjzM9vTbMIX94e0cK6/d9dQoaud1wIyw/C7MbvM/rw09X7EC4VuSnw+52QZDZEWfeJbVtR/pW5popi0MOf4yG6Kyx83nHbuIUQ3dlubqH4eSxZfPuGu6pg/7vZbpwoqVj7gVi/+x9Rc2yZN+xzIe12bg8MeLtKp8vXG1ly4DyeLlouZNueRJywe1ohkUgkEglUIEBWVXW1oigxxYaHAT3NyzOAlYgAeRjwo6qqKrBRURR/RVHCzXOXqKqaBqAoyhJgoKIoKwFfVVU3mMd/BIZTgQA5LyuVM7/+j5amLJqkr2T3gs9oOeZVdi+eQYfydr4O8XbTsdZkC0APq548078x2kNH4Dyw7iMA8hsMwuOY48e/0Nie9vVDeev4HZAoxlJVc/3w3w+Ves4UJYAATxfS84pKbHu2fxP+2Haa+OyPUVF4v1iN+C0JUczaepr+zUJZfvACv54OwnrbU05z4GXn3QaO6yvesC1vmgbNhoFnzTkp1hhFBfD7HULC78C/Jbd/P1A01OWlinKadR+L8Vt/Eu8+4RU6jcFoIjEtD38PF4K83ThyPpuGId7i5vW+ZcIm2uKamLhOvHuHOR6kzZ3iVUlOpeXRfeoKeseFcDYjn4PnbCVBzw5owspDF5g8PL6MI0gkEonkeqSqNcihqqomA5jfLc+9I4FTdvNOm8fKGj/tZNwpiqI8oCjKVkVRtppyUsh3r2Pd1vLgh2LBWESuWs3M1jWIxXmvfYzNZvux3o3w9HY06JhxyPGeaYupMR8ZRjK8jWPZQ1Fp91ZDP4SuT7Jk8Go65X9MQkwgN7aK4NPbHEtdNBqFAE8XVDSAgoerY4D86k3NWTyhB2M61KN3XAh6j2DhigaibOHbviKwW/0eXDxU0Y+h5jHaPfa/0S5zXKepCCQvHoS1H17+66oIa94Tn6GFxoPgyb2ipKGF+Xbkw+Yw6x5bcAxwaIFwwqtb9q3ogj3JxEycR8OXFtDn/VXc9Nk6vlh5lH4frmbdUXMZRVQCRHcpaTvt4l7ygBVA3JsLLmQX0H2qcGBcfvCCNThuFx1A23r+jOsaw+yHuhAX5lulc0kkEonk2qWm27edpfXUKow7RVXVr4GvAZpH+aoaQ4HD9qTti/HITyZL8cGLq6SZ6zLRJNSHx3o1ZGS7KNJy9aw5IlzsvD0dazkLsDXOPaifwCJTewCCvcVNR3ykLxF+HqRleUGKeWKdpmR0fZEP15xnxfJYFk+4h90rjmJAx+vDmhPu57xe1FKTDDCguWPG0NNVR+NQUc/q465jzZFsDseH0Rhg+Ztwegv8NFJM3vItPH2Zm+FMZhOUC/vFe/83oO3doHMXwV3cjaCaHebWfwLdny7T8viyY9ALVQiApw6Ar+MNEDd9CsdWQHayeMV0h44PiYzz6S0YfaNIyTUS6utS8thmHvt1h8P6mYx8pi4UNzMZ+cWcEcNawMupMNmsTOEfXe6PYDKpZBcaeOWfvdQN9KRVlD/3z9zKt3cn0KdpKPf/uM06d1zXGDYcS2V8t1hGSztpiUQikZRDVQPk84qihKuqmmwuobhgHj8N2P/1iQLOmsd7FhtfaR6PcjK/XFxNBYRk7ydXdcNLEcHwxf2raJ61gS1ePQnPXVz5n+oaRqNReGZAEwBig71oFy0yyYG+Xg7zzqoiQJlmGGoNjgF6NgnhuYFNuK19PQK8XNl6Mo12075km/vDbA0ayqjftEAEkEfcywut+5UWHAM0C/dlz5lMgr1d0WpKL5kY1zWWf3ae5eHF+Sxzw9YAZyE7uQKfQA2RtEmUo5zZJmpxuz8lxsNbi7KPVrfaTbZ7QLN8Mgx5//JdZ1moKrxhfvrS4cGSwTGIJrjnjgk3ynN7hCqFuznTmnKY3dqW3PzWMtrW82fqqJbUD/ZGU+zfsEmoD/uTs/h4TGsGxocx6OM1uOm0HEjOYt7uZIa2LHZerQ5u/FgE4xUooXn+z93M3na6xPj4GVvp0iCIXacyaFXXn5/v6yil3CQSiURSKapaYvEvYFGiuAf4x278brOaRScg01yCsQjoryhKgFnxoj+wyLwtW1GUTmb1irvtjlUu0aZTHPZsx5yGohveI3kz7ugxNBzAvN6L+a3Dn1X88a4f/Lw9Hda1rW7lIf2TvGuwBXq3JESh1Sg80rMhAV7CuSzC34NU/GhS8AOjdrau0rlfG9ac3nEh3NGx7Gxh67r+vDg4jkK77DZDP4TbfretJ++GsztK7lzTTO8Ph+ZDznmhBbzk/8S4zrEkYFtiOh8uOUzBBLMixJZvYd/fl/76ykOf6/g5lVfX++AaeGwrdH4UwltheeiTrBc/7/akDPp+sJqPlx1h/p5kzmeJpzovzNnN/uQsBsWHMax1JG46Lcuf7skfD4mmvwV7zzk/X7uxwpK6HBbsSXYaHEeaS4nWHxMlHK/e2EwGxxKJRCKpNOX+5VAU5VdE9jdYUZTTCDWKKcAsRVHGA0lg7Z+aDwwGjgJ5wDgAVVXTFEWZDGwxz3vd0rAHPIxQyvBANOdVSMHCoIhgKT+oKX1vvA0+fJFmuZtJVX1p2vVGwkJCyzmCBEBTzKq3jr8vv5pEbWnDEG/6Nwvlzk4lA1gXrbi3KsRx/3qBniSl5TFpSFPhiFcG7i5apo9tX+YcC72ahDB1fiBzjN0Y8eBronYVhJXxgmeFRi7Aq5mlH6S6pCfall29QZ9jXVXdfPhy5VF83HTc2SmakV+uB6BJWFsG+0YK57nZ90CdTRASd+musTzeKpa1DW5U9nxFsc1x9wM3XyjMROvqTrinO8mZIiD+bu0JcgpFPbanq5Y8vShBKd4A52lXaz7+hy1M6NeY+EjHOvjyeHv+Ab5afRyAVc/2pF6gJ0cu5BDu5463m479yVlk5hcR5OVGk7BKyM5JJBKJRGKmIioWTnxgAejjZK4KPFrKcaYD052MbwUq3UbuouoBHW512+LpZWuy2RT/CoNlcFxhFA/H4ESntT1U+PHeDtbmvuL4ediyuaG+bjx8QwMCvd24qVUEJpNa4nF7dWkU6sOIhBie2voI3f1a8OeqYwxsHobWry2XtKLUWARa8896YpV4v+NPaNRXLBsKyTmyhucW5zB/73kAfO0+m5wCAzy6GTZ+KdQt5j8DY+deyiuuGHf/I9wRK6snXLc9HF1Kll7h5vaRnMsqYM72M9bgGLAGx7te6e/wPQEhu7jj5X68+NceFuw9h6IofHtPAs4oKDKWcMBUVdUaHLet5090kCgRstSrAzSPqFzALZFIJBJJca5aJ72iwMasrHMHbfrejk6nY2GLD5kV+CADRo6/0pd2deFVx2G1b1NxczHrwc6lBscArjoN2yaJIPGRng0Z2zXWavBR08GxhYQYIZX28bLDTFlwkLumb6L7D+fZ43GJhP2Sd8PkYPj7Ecg6K6TItG42BzgAnRvxMwqtwTHAq//usy6vOnIRo4sXdHxADDQscV95ZajfE1w9y5tVkjG/kjn4Sz4zDCPcz50PbmnN4gk9rJtHtIlk8vB49r8+oERwbCHAy5Uv72xH03Bflh44z4WsAl75Zy+zttiEblYcukDcywuJmTiPVq8t5pavNlBoMLLnTKb1PF/c0a7y1y+RSCQSSQW4aovz3Nw96PnoF9b1gSPvvYJXc/WitQuS1hub0Tnch5NThlRo3yBvNw6/MQgX7eXRJG5TV6hA/LQxCYBTacKEY3LGAGa5ba75E1qcBHf+LF4AgQ1AY8tq6g0m6/ILg+J4e8FB0vOK8HXXcWOrCH7elETvJiGMbGW+EbGoX1wJLBJoN0x0GE5MzSXU150X5+xhzo4zDG8dwfOD4pw3WOpcyWo4nER1hTW72zjUh62T+uLuoq1UvW+LSF8OJGfR8e1l1ku7pX1dluw/z9vzD1jnZeYXsflEGmsOp/DlKuH2+HDPBoT5VU0KTiKRSCSS8rhqA2RJzeDlpqNQdcFNKeI/U2e6VNKAw1V3+R5C2MvCje0Sg7uLlmmrjrFZbYqxXle0SeuEsoS9w1vSJuH05+EP9y4WSgkVQZ8LS18tOT70Q1RV5XhKLqoKeXpRWvDKjc0Y2yWG/CIjJpPKuK6xeLpp+XlTEk/P3sXw1oPQgs2FrixSjsJn7cA3Cvq8DK3GiPGCTFEHXFl2zxI10O3GinW7z2fRvnM8OHObw/S/d57l751neaZ/Yx7rbatRTs/Vk5FfhNEkolk3u/IHiwxgZZgyoiWztp7GTrqY7Unp3P/jVgDCfN2ZOb4DB85l879fd3CfeRygQR3vSp9PIpFIJJKKIgPk65wgb1fS8CGcNEy1vOImzM+dvk1DGNc1lq4NgzGZVHzcdfx/e3ceb9d8Ln7882SWgSQylAiJkAQ1hBhaNFQMVa1yr2q1iha3WvorrVtcpYaXoe31c1t6i4vqbbXVotelhlRbaiqJmgUhUTGTIPN0nvvHWueclVEkZ9rnfN6vl9fea+21d777sfb3PPu7v+v5/uD2Z7jg+U34t673wrO3wXVfgr3OLEqwvXgvzChGHZn9Gqy30ar/kXrPlaXk1t8MRuwF0+6BY+7kn/7r70x68Q8Nh21bjmpvscG6RATfHD9yhS936V+e5xudu8OS1UiQJ3y3uH1vOtz4LzB0Z7j1O/Dc7bDj0bDfBY3zoldl8QJ44vriCwI0LqhSVtz49YP/4JQbHl/qKd/aeySL65L/uPM5fnjHsxy43RCmz5zHD26fzMP/eAegYdGXDdZyBLc6FeegMUO48e8vc+GtRT3rg8cM4XsHbsW6Pbqy+eA+nHfL07z23vwVPleSpKZmgtzB9enehZezNxvEDOpWuG5L29GtSyf+64jGqhedOkVDPeeH6srKEJOuKW7vPKtY2KI6YjvhDPjn5a4TLTx5I3TtBSP3KbYXziluv3gD9CuqeCxeUsekF2cu9bRHXyqSxmUvJqt357fGsde/38VFE57l6+t2p/PqjCDXH/OJ78Ot/wrXf6WouwxFubhZr8Fn/xs6vc8Xmr/9tLEMHcCjvypuu3Rn4eI67plSrPTyky9sz8A+3RkztG/DRZpjNu7LkVc/1LASXZ/K1IlbHnuVbp07NUx5WRt/PGkci+vq+O3EomTb36YWxW2O22ME6/Zo/BLwp2+P45V35jP1rTnsNLwNLtstSWpX2vaQoZpdRPAuxc/VB+2wcSu35oPbeXh/xmzcl6eyLEVXP28Y4LZTYGIlIe68kmkAdUvgt0fCtYc07qtfpbFS3/gvzxSrD3551+FcctgYvr7nCE4cP5JuXTqx4UpGU0cM7N2wCErnhe+x5PEbVv2G6urgH/cXI8U7lRf21SfHvcqyeZNvhrP7rfj59d55qTE5PvSX8I1HoGexCEx26c7I02/l5sde5eDth7D/1huw47D+S1Uw2WPUIH559M4N27tuNoAry2oTf39pJpus33Op49fUZoN6M/pD63LkR4ctNU2j5zJzmXt268Jmg3qz95aDV3rxnyRJTcUEWczpXJTJi6i90yEiOOHjm7GQFSRND18Dc96AngOg94eKMm1vPgPzZhajsPVmN1ag4P6fwLWHwi3FCnmfufIxrrlvGpnJU6++B8C39hnJAdtsyMn7jub/jd+cyWfvx6B1Vz7d4IFT9+KQHYqpHZ3nvrHqechvPAmL5sKG2xc1iL/wO/j0JXDiU3DyczD+rMZjJ/8B/nweLCqT+frXvf3f4OJK5cQtDoD+w2FsUeHl7qcaF9j48q7DV9qUXTcbwNVlnepv7zuKweV7fP29BQztvwYVMFZhaP+ePHhaY4WPIauooCJJUnNzioWY33U9WAjdlsxt7aaskT1HDWLk4N5Qv0bIwNHw5uTGA+a+xTs9h9F39jS4tFIS7ti7YMEseOuZxn23n9pwd2avTXnktYU8ctOTnFmWbhvUpzu9lhndfL/5sAP7dOf0A7aE+upvC+csfSFhvQWz4fbTivubjituN9976WN2+yY8cyu89AD8uixR3nN96NwNbv4mdFkHFs+D4eNgq4Ng9AGNz/3YyZx156v87vHGleqq9YNXZM/RgxqqmtTVJd27dGLB4rqlFvxoKp06BTcdvyvDB/R6/4MlSWpGtTdkqCa3sGsxl7THondauSVrJiI4dMeNmZ4DmL3eKD7y2knLHfPi7BWc6pePg2sOKEaUAQZt2fDQnK9O5CNvf3e5pxz7sU3XqI3rVOcoT/kj/OaLMP+9xn0v/AXOHwJT7y5GiVd1MeFnfrL09twZxdxkKJJjKJbiHnsU9K7Uue7SjauXfIJZ9GTS6eOZev7+H6gKSadOwaB1i8S+axNMr1iRbTbqS58eTqGQJLUuE2SxpEcxn7V7jSbIUFxUttuCH3FC30t4dVFvPjr/RyzZq5iO8PWF32BurqLiwp/OhQEj4bj7Gnb9+Y1ezKc7Iwf35uPlktkPnrYXR+++Zgly187B8Yu+UWzccEyx6MglO8JTN8H0SfDzAxuOnb/zCXz+8ge48+nXV/xi648oltQ+olyR77Ffw+tPFCvjfeF6GHM49F95O4et35P1e3cnPmBJP4CLDx3DHqMGstcWq15GXJKkWuYUCzG9/y7w9k95sd9H2ay1G7OGPlwuL/zn8kK6VxjA92eNZc46C7ll/pZc2PXy4sBN9yhGa6s6d+cLi7/LkOsf4/tbfBpensTcBcWCHlcduSMb9Vv7+bYRwcROH6aOTnSiXFxk9mtw3eFLH3jyC5xz81Pc/8Lb3P/C2wA8cda+vPbufH43aTpfHbcpfXt2K44dvntxO3Nacbv3WbDJRxuXwS69PXsBM+cubFiW+Z+2X81Sdyuwwyb9+NlRzbRyoSRJbYQjyGLh+lswbP4veapn7SY+K5oqcNnd0/jFzK3o36s7D3baFoA5B/8CzpgBe/4b9BsGh9/I3H+dzr2vdea6idPhsz9n5rF/5915i4ClFydZW/O69OOyUVfCp/6jqGXcZ4OlD/jYydBrfd6avfRFfDc98grjL7qLn971PNudPYG7nn2z8cGDr2i8v9HS//+W1CX3TXmLHc79I+Mvupsr75kKrLwknSRJKjiCLPr36gYEM+YubO2mNIkdh/XjoWmN9YpnzFnIhet/ixPffod3z72b3TYbwKIlu3PN175FJjw49e2GY7c56w7em7+4YbspS4q9O28RFz7ana9+7ohiesMux8Fjv4Ubji4OGHM4mckDL8zg4O2HcP7BWzPq9Ns47calF/M44qoHufSw7fnkNhvANp+FAZvD7DeXWyXwv++fxvf+96mG7QvKRTh6dPV7sSRJq+JfSvGxkcWFXHuOqu15pf8yblNO3ncUV3xp7HKPdevRq6He8z1T3uJvU2cw+ru3scO5E3j+zTkNx1WT46/tMaJZltKes3BJ40aPosQeG+0E/Tbh2ddn8+68Rew4rD/du3TmO/uN5uAxQzjnMx9m6vn7s/vmAwD4+rUPs6QuyUzYcEzjAifAoiV13PLYqw3J8TkHbsW1xzTWNO7uCLIkSavkCLIYObhPQymvWnbqJ7ZouP/omfvwv4++wum/f4LLD9+hYXrBsuYuXMJV5WNXHTmWL/9sIgDPn7d/wwIfTW3OgsW8M3dhMbd5+LjiorqxRzFzzkK+/dtHARhXfmk5bo8RSz33x58fw3ZnF8tgjzitWPL65hN2Y8TA3lx931TGbzGYC2+dzJ2T3wCK5aAP/8gwoKh5fNW9U1mwuK5Z3pckSe2FCbLapfXW6coXdt6YLTdclzFD+3Libx4BYPSH+jD5tVlLHfvyO/O47PAd+PjowQ37miM5/uq4Efz0ruc59YbH+dPkN7js8B3Yd6sPwYGX8OM7n+PfJxSJ73kHbc2GK1koo2/Pblx5xFi+cs3Ehn13PPU6r7/7Ir+Z+BLfv62o6XzERzbhkLFDGTGwd8Nx/7rfKHr36MInt95gudeVJEmNIjNbuw1rZOzYsTlx4sT3P1ACTrruEW54+GWePGtf5i1awinXP84fn36d8VsM5qS9R7LlhsVUhxfenM0r78xnt3IqQ1N64uV3OeDH9yy3/6hdh3H1vdMA2Gaj9bjp+N1W+TqZyd+mzuC6iS9xw8Mvc8zuw7nir8UoeARkwuRz9vNiPEmS3kdETMrM5eZmmiCrQ1i0pI6Fi+uWWgVv3sIlrNMMK8KtTGZyzs1Pc/3D0xuqZCxr6vn7f6D6xMNOuaXh/jfHb84xu2/K1Lfm8OEh6611eyVJau9WliA7xUIdQtfOnZZb/a0lk2MoaiGf8aktOeNTWzJ/0RImvzaLiyY8y91l2baLPrvtB16847CdN+bav/0DgKN2HU6v7l1MjiVJWksmyFIr6NG1M9sN7cvndxzakCAfuN2QD/w65x20NTsP78+Lb89t0pJ0kiR1ZCbIUiuqH+0976Ct1/jCwDVJrCVJ0sqZIEutaGj/nkw+Zz+6N0O9ZUmStGZMkKVWZrUJSZLaFoetJEmSpAoTZEmSJKnCBFmSJEmqMEGWJEmSKkyQJUmSpAoTZEmSJKnCBFmSJEmqMEGWJEmSKkyQJUmSpAoTZEmSJKnCBFmSJEmqMEGWJEmSKkyQJUmSpAoTZEmSJKnCBFmSJEmqMEGWJEmSKkyQJUmSpAoTZEmSJKnCBFmSJEmqMEGWJEmSKkyQJUmSpAoTZEmSJKnCBFmSJEmqMEGWJEmSKkyQJUmSpAoTZEmSJKlirRLkiJgWEY9HxCMRMbHc1z8iJkTEc+Vtv3J/RMSPImJKRDwWEdtXXueI8vjnIuKItXtLkiRJ0pprihHkPTNzu8wcW26fAtyZmZsDd5bbAJ8ANi//Oxb4TygSauBMYGdgJ+DM+qRakiRJamnNMcXiQOCa8v41wGcq+3+ehQeAvhGxAbAvMCEzZ2TmTGACsF8ztEuSJEl6X2ubICdwR0RMiohjy32DM/NVgPJ2ULl/CPBS5bnTy30r2y9JkiS1uC5r+fxdM/OViBgETIiIyas4NlawL1exf/kXKJLwYwE23njjD9pWSZIk6X2t1QhyZr5S3r4B3Egxh/j1cuoE5e0b5eHTgaGVp28EvLKK/Sv69y7PzLGZOXbgwIFr03RJkiRphdY4QY6IXhHRp/4+sA/wBHATUF+J4gjgf8r7NwFfKqtZ7AK8W07BuB3YJyL6lRfn7VPukyRJklrc2kyxGAzcGBH1r3NtZt4WEQ8B10XEV4B/AIeUx/8B2B+YAswFjgLIzBkRcQ7wUHnc2Zk5Yy3aJUmSJK2xyFzhdN82b+zYsTlx4sTWboYkSZJqVERMqpQqbuBKepIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJUYYIsSZIkVZggS5IkSRUmyJIkSVKFCbIkSZJU0WYS5IjYLyKeiYgpEXFKa7dHkiRJHVObSJAjojNwKfAJYEvg8xGxZeu2SpIkSR1Rm0iQgZ2AKZn5QmYuBH4NHNjKbZIkSVIH1KW1G1AaArxU2Z4O7LzsQRFxLHBsuTk7Ip5pgba1ZQOAt1q7EW2AcSgYh0bGwhhUGQtjUGUsjEHVJiva2VYS5FjBvlxuR+blwOXN35zaEBETM3Nsa7ejtRmHgnFoZCyMQZWxMAZVxsIYrI62MsViOjC0sr0R8EortUWSJEkdWFtJkB8CNo+I4RHRDfgccFMrt0mSJEkdUJuYYpGZiyPieOB2oDNwVWY+2crNqgVONykYh4JxaGQsjEGVsTAGVcbCGLyvyFxuqq8kSZLUYbWVKRaSJElSm2CCLEmSJFWYIEuS2oWI6NB/0yLi0xExorXbIbUHHbozqQURcVhEbFveX1G9aHUgng+q8nxoSApPau12tKaIGB8R9wNXAhu0dnvUNtg/rB0T5Daq7PD+ClwMjAHIDnhFZUR8JiLOae12tDbPh0aeE54PABHRJSK+A/wI+GFEbJeZdRHRubXb1hKi0Dsi/hc4vfzvAcpVwTrqaLr9g/1DU2kTZd5UKL/h9QCuAQYB5wIHAj3Lxztn5pLWa2HLKOPQCTgKOAXYJCLuyMy/tm7LWpbnQyPPCc+HZZXlQZ8BRgNfBS4Ddu4oMSgTntkR8YvM/A1ARIymOCd+mZl1rdrAFmT/YP/QHDrkN8y2KgvzKDq3PTLzduA+4PDy8Q5xcpdxWAJMofj2+zWgUh4KZwAADDdJREFUw40IeD408pzwfACIiG9ExAUR8dly1y2ZOT8zLwYGRcRh5XFdW6+VzasSg0MAKslxZ+Ad4KWI6N6abWxp9g/2D83BBLkNKDu8KyLiGIDM/J9yf2dgKvBkRAxd1Wu0B5U4HF3uuiszZ2XmFUCviPhKeVy7Pm89Hxp5Tng+QMN0ghOBQ4GJwFkRcSTQr3LYScAPADJzUYs3spmtIAZnR8SRETEQGhKgqcAnM3NBKza1xdg/2D80p3Z70tSKspM/DLge+GJEnBYRm0JDh/cesC3FyEC7tUwcDo+IU4FNK4ecAZwUEf3a80+Hng+NPCc8H+qV0wn2BE7PzN8BJ1K8730rx9wIPBsR34ZiHmZrtLW5rCIG+1WOuQ+YHhGfbp1Wthz7B/uH5maC3Pr2Ai7MzNuAbwHdgC/WP5iZjwPzgM+1TvNazLJx6AF8of7BzLwVeBo4NiL61P+82A55PjTynOiA50M5l7K6Xf93aiKwO0AZj2eBrSJiVOXw44DvR8RrwJAWaG6zWIMYjC6PWxeYDLS7EfQVsH/ogP1DSzJBbiWVDu/vwAEAmTmR4irkDSNi1/K4AO4AeizbabYHq4jD/VTiUPoOcD7wHPChlmxnc/N8aOQ50eHPh3WqG5XRvylAn4jYuty+C1gP6AMQEdsBV1CMpm2fmde0THObxQeNQe/yuPeAjYDBLdTOFmf/0OH7hxZjgtxCIuJD5W0nWKrDuxfoFBEfK7efAF4FNiyPS4orUue0hzItEbFVRPSo317dOETEZsBPgN9T/PH7ccu1uumtaRza2/kAEBG7RmVxg454TqxpDNrT+RARu0TE9cClEbFPOYeSiKivtvQgsATYOyK6ZOZTFKPEY8vH3wa+lpmHZOYrLd3+ptAEMQD4XGb+rCXb3ZwqMQjosP3DGsWgPfUPrcEEuZlFxJiIuJPyitr6E7vyDfA54Eng0CjKsEyn+KY7rPIy387Mq1qu1U0vIraJiHsoSs+sX9m/unF4Fzg+Mw+u1T9+0CRxgHZwPgBExPYRcQfwJ4pRsPr9HeacaIIYQDs4HyJiD4pk5gbgGYqfiftFRKfMXAyQmVOAh4DNKEp5ASwAXiwff6n8SbkmrWUMptW/TmbOb7lWN5+I+EhEXAGcGBHr1id4lS8LHaF/WNsYQDvoH1qLCXIzicL/B34OXJOZx1Qe61T5BjgL+CvF3KEfRlGeqB/FaAgAmbmw5VrebE4HfpeZB2Xmy9BQl3G14pCZb2bmc63Q7qa2VnGA2j8fIqJrRFwGXE6xyMPtwB7lYx3inGiqGEDtnw+lbYCHMvOXwC+ArsDsyoDCuRFxJTCJIl47RcQkYAZF7NqDtYnBHa3U5mZRjoheQvHFcUPg1IjYB4r61+Vh7bZ/gKaJQXlse+gfWoUJcjMpv+n1Af6emT8HiIgR1eQ4itV+rqX4pnsGxYn913K7lufPNYiITuVPx7OzqFVKROwdEX2BKLfPxTh0iDiUugN3A7tn5s0UI2ZblD8ZLwGIiLNo37Ho0DEopxKMrOy6GzgkIs6kSAA3AH4SEYdGxEcpqhOcn5nTMnMyxZX7e2Xmv9RqhQJjsEpjgXsz81cUv7YNBj4fEYOhw/SVxqCVuZJeE4qIXYAZmflsuesk4KGIOIOiHNHrFCsfXQzMBkYAp5Y/mxERXwZ6Zeaslm9906nGIYulX98Ado+IA4CjKS5AeR14OiJ+RdHxG4d2GgdY7rMxpxwlq9cZWJLFymgBbA1sDpySmc+Xz6/5WBgDKL8Q/hL4GHBhRFycmbMz85GI2I9iRbyvZeb1UdSwHQ9ckpn1C4B0ysy6zJzdam9iLRmD5a3gb+czwLYRsWFmvhIRs4EBwIER8ReKvrK9fTY6fAzaGkeQm0BE9I2IW4AJwGcjohc0XFF8KXAwcCrweYoJ9IcAMzPzsMycEpUL92r55F5FHGYBVwNnA1dl5r7AfwG7ABsYh/YZB1hxLDIzyylI9f3PXcBBUdQrTeDxMhbPt4dYGIOl9KKYEnFCeX/3+gcy80FgIOWcYoqflvsCM2G5qWm1zBiUVvDZ6F0+9BxFDd+fRXHR4lCKig3rlgMO7eazYQzaLhPkprFsh1d/RSmZ+SNgz8y8O4vVjX5P8dPJXGh3Hd5K4wDcTHHhQP9yeyLwGjAfjAPtMw6wklhkoa7s3KeVx4yrfwzaVSw6dAwi4ksRMS6Ki4xepph3fR3FOb9zRNRXHehOsTTu18qn7kXxOZkPS125X3OMwUqt7LPxLEVd3/OB32bmQRQVGvasf2J7+GyUjEEbZYK8hla3wwPIzJmVp+4AvERRqqfmO7zViMMQgMx8DDgZ+HpEDKC4QntrGi+oMA7UfhzgAyUDUb7f+nJ39V8Sli1lVHM6egzK0fENIuLPwBEUCzj8Z0QMyMz5mTkX+CPFvMm9AMoBhJuA3hFxN8Uvbsdn5hut8y7WjjFYsff5bOxU/9nIzIWZ+efM/HX51B2AW+tfp1Y/G2AMaoUJ8gfwATu8j1ee1z0i9oiIiRRzkS/IGi7Fs6ZxyMwrgV8B3wP+CTg6M//R4m+giRiHRmsSi3KaQecs5lIGxVSThtHTWmMMCuX7qb9I+eXM3ItiRHQGRSIAQGbeSzFyPqr8mXmdzHySInZHZuZemfl0y7+DtWcMlramfWX53N2iqNaxO8UvcDXJGNQeE+TVtAYd3uiIWK/s8BYAC4FzM/NT2TgJv+asYce/XkT0KfdfBJyYmftmUeS+JhmHRmvx2eiZZcUG4MuZ+b2WbXnTMQZFbdaIOA84LyLGAaNo/KVsMfAN4CPlY/WuoFgFbgIwLSKGZOa8zHyhhZvfJIzB8tbis9GrfOgF4LtlXzmtRRvfRIxBbTJBfh9r2eH9kaLD2zAz78vM37dw85tME3T8Uyo/Gy1q0cY3IePQqAliMbXWY2EMCuX7m0Qx+jWFYmGkRcCeEbETNIyKn03xy0m9T1IkCo8AW5c/N9ckY7C0JvhsvBARG2XmK5n5hxZufpMwBrXNBHkVmrDDq8lVfOo1QRwexTi0mziAsQBjsIw64IeZeVxmXkFxMdFwivqs/wkNqwPeCLwZEcPK580HxmfmMVn782yNQakJPxvTW7DZTcoY1D4T5FWzwysYh4JxaGQsjEHVJOC6iOhcbt8LbJyZPwM6R8QJWVxQtBFFvedpAJn5P5l5d2s0uBkYg0Z+NoxBzTNBXjU7vIJxKBiHRsbCGDTIzLmZuSAb51PvDbxZ3j+KYpXAmykuTn0YGit1tBfGYCl+NoxBzTNBXgU7vIJxKBiHRsbCGKxIRHQuR8UGU5QrA5gFnAZcAOyRmT+A2q7UsSrGwM8GGIP2wKWmV0P5DTBZcYf3YWBqlhdWtNcOD4xDPePQyFgYg2XUAd2At4BtIuJiihrfJ2TmPa3aspZjDEp+NoxBLTNBXj12eAXjUDAOjYyFMWiQmRkRYyhqvA4Hrs6i7neHYQyW4mfDGNSs8AvL6omIXSiWAL2PDtzhGYeCcWhkLIxBVURsBBwOXJRFDfgOxxg08rNhDGqVCfJqssMrGIeCcWhkLIyBtDJ+NoxBrTJBliRJkiqsYiFJkiRVmCBLkiRJFSbIkiRJUoUJsiRJklRhgixJNSQilkTEIxHxZEQ8GhEnlSu3reo5wyLisJZqoyTVOhNkSaot8zJzu8zcimL52v2BM9/nOcMAE2RJWk2WeZOkGhIRszOzd2V7U+AhYACwCfDfQK/y4eMz876IeADYApgKXAP8CLgA2APoDlyamZe12JuQpDbOBFmSasiyCXK5byYwGpgF1GXm/IjYHPhVZo6NiD2Ab2fmAeXxxwKDMvPciOgO3AsckplTW/TNSFIb1aW1GyBJWmtR3nYFLomI7YAlwMiVHL8PsE1E/HO5vR6wOcUIsyR1eCbIklTDyikWS4A3KOYivw5sS3GNyfyVPQ04ITNvb5FGSlKN8SI9SapRETEQ+ClwSRbz5dYDXs3MOuBwoHN56CygT+WptwPHRUTX8nVGRkQvJEmAI8iSVGvWiYhHKKZTLKa4KO+i8rGfANdHxCHAn4E55f7HgMUR8SjwM+A/KCpbPBwRAbwJfKal3oAktXVepCdJkiRVOMVCkiRJqjBBliRJkipMkCVJkqQKE2RJkiSpwgRZkiRJqjBBliRJkipMkCVJkqQKE2RJkiSp4v8At+Q4hYCNKeMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from simple_back.fees import FlatPerTrade\n", "\n", "bt = (\n", " builder\n", " .name('AAPL (fee per trade)')\n", " .trade_cost(FlatPerTrade(1))\n", " .build()\n", ")\n", "\n", "for day, event, b in bt['2015-1-1':'2020-1-1']:\n", " b.pf.liquidate()\n", " b.long('AAPL', percent=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also assume a flat commission of 5 cents per share." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from simple_back.fees import FlatPerShare\n", "\n", "bt = (\n", " builder\n", " .name('AAPL (fee per share)')\n", " .trade_cost(FlatPerShare(.05))\n", " .build()\n", ")\n", "\n", "for day, event, b in bt['2015-1-1':'2020-1-1']:\n", " b.pf.liquidate()\n", " b.long('AAPL', percent=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Custom Fees\n", "Let's now build a custom `Fee` that charges a percentage of the total cost." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from simple_back.fees import Fee" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "class PercentageFee(Fee):\n", " \n", " def __init__(self, fee_percent):\n", " self.fee_percent = fee_percent\n", " \n", " def nshares(self, price, capital):\n", " return (capital * (1/(1 + self.fee_percent))) // price\n", "\n", " def cost(self, price, nshares):\n", " return price * nshares * (1 + self.fee_percent)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For testing we can treat our `Fee` object like a callable." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'nshares': 66.0, 'total': 990.0, 'fee': 330.0}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "PercentageFee(.5)(price=10,capital=1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above means that when we have a security with price 10 and our capital is 1000, we can buy 66 shares for a total of 990 and of that 990, 330 will be fees." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can use our `PercentageFee` in our backtest." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "bt = (\n", " builder\n", " .name('AAPL (fee per share)')\n", " .trade_cost(PercentageFee(.0005)) # 0.05 % \n", " .build()\n", ")\n", "\n", "for day, event, b in bt['2015-1-1':'2020-1-1']:\n", " b.pf.liquidate()\n", " b.long('AAPL', percent=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fees are saved in the trade history as well." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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dateend_dateend_eventeventfeeinitial_valuensharesorder_typepriceprofit_loss_absprofit_loss_pctstart_pricesymbolvaluevalue_pershare
02015-01-022015-01-02closeopen4.9896249984.23815098.0long99.945885-189.541449-0.018984101.829067AAPL9794.69670199.945885
12015-01-022015-01-05openclose4.8973489799.59404998.0long98.995143-98.070049-0.01000899.945885AAPL9701.52400198.995143
22015-01-052015-01-05closeopen4.8507629706.37476398.0long97.130241-187.611106-0.01932998.995143AAPL9518.76365797.130241
32015-01-052015-01-06openclose4.7593829523.52303898.0long97.39538521.2247190.00222997.130241AAPL9544.74775897.395385
42015-01-062015-01-06closeopen4.7236769452.07604997.0long97.139420-29.552352-0.00312797.395385AAPL9422.52369797.139420
................................................
25102019-12-272019-12-27closeopen3.9102307824.36950327.0long288.333313-39.370053-0.005032289.646640AAPL7784.999451288.333313
25112019-12-272019-12-30openclose3.8925007788.89195027.0long287.995045-13.025743-0.001672288.333313AAPL7775.866207287.995045
25122019-12-302019-12-30closeopen3.8879337779.75414027.0long290.04461751.4505100.006613287.995045AAPL7831.204651290.044617
25132019-12-302019-12-31openclose3.9156027835.12025327.0long288.462644-46.628859-0.005951290.044617AAPL7788.491394288.462644
25142019-12-312019-12-31closeopen3.8942467792.38564027.0long292.16381896.0374560.012325288.462644AAPL7888.423096292.163818
\n", "

2515 rows × 15 columns

\n", "
" ], "text/plain": [ " date end_date end_event event fee initial_value \\\n", "0 2015-01-02 2015-01-02 close open 4.989624 9984.238150 \n", "1 2015-01-02 2015-01-05 open close 4.897348 9799.594049 \n", "2 2015-01-05 2015-01-05 close open 4.850762 9706.374763 \n", "3 2015-01-05 2015-01-06 open close 4.759382 9523.523038 \n", "4 2015-01-06 2015-01-06 close open 4.723676 9452.076049 \n", "... ... ... ... ... ... ... \n", "2510 2019-12-27 2019-12-27 close open 3.910230 7824.369503 \n", "2511 2019-12-27 2019-12-30 open close 3.892500 7788.891950 \n", "2512 2019-12-30 2019-12-30 close open 3.887933 7779.754140 \n", "2513 2019-12-30 2019-12-31 open close 3.915602 7835.120253 \n", "2514 2019-12-31 2019-12-31 close open 3.894246 7792.385640 \n", "\n", " nshares order_type price profit_loss_abs profit_loss_pct \\\n", "0 98.0 long 99.945885 -189.541449 -0.018984 \n", "1 98.0 long 98.995143 -98.070049 -0.010008 \n", "2 98.0 long 97.130241 -187.611106 -0.019329 \n", "3 98.0 long 97.395385 21.224719 0.002229 \n", "4 97.0 long 97.139420 -29.552352 -0.003127 \n", "... ... ... ... ... ... \n", "2510 27.0 long 288.333313 -39.370053 -0.005032 \n", "2511 27.0 long 287.995045 -13.025743 -0.001672 \n", "2512 27.0 long 290.044617 51.450510 0.006613 \n", "2513 27.0 long 288.462644 -46.628859 -0.005951 \n", "2514 27.0 long 292.163818 96.037456 0.012325 \n", "\n", " start_price symbol value value_pershare \n", "0 101.829067 AAPL 9794.696701 99.945885 \n", "1 99.945885 AAPL 9701.524001 98.995143 \n", "2 98.995143 AAPL 9518.763657 97.130241 \n", "3 97.130241 AAPL 9544.747758 97.395385 \n", "4 97.395385 AAPL 9422.523697 97.139420 \n", "... ... ... ... ... \n", "2510 289.646640 AAPL 7784.999451 288.333313 \n", "2511 288.333313 AAPL 7775.866207 287.995045 \n", "2512 287.995045 AAPL 7831.204651 290.044617 \n", "2513 290.044617 AAPL 7788.491394 288.462644 \n", "2514 288.462644 AAPL 7888.423096 292.163818 \n", "\n", "[2515 rows x 15 columns]" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bt.trades.df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Profit and loss also includes the fees." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }