{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "9acc2a43", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "sns.set_theme()" ] }, { "cell_type": "code", "execution_count": 2, "id": "561f9b82", "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>x</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>-6.00</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>-5.99</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>-5.98</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>-5.97</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>-5.96</td>\n", " </tr>\n", " <tr>\n", " <th>...</th>\n", " <td>...</td>\n", " </tr>\n", " <tr>\n", " <th>1196</th>\n", " <td>5.96</td>\n", " </tr>\n", " <tr>\n", " <th>1197</th>\n", " <td>5.97</td>\n", " </tr>\n", " <tr>\n", " <th>1198</th>\n", " <td>5.98</td>\n", " </tr>\n", " <tr>\n", " <th>1199</th>\n", " <td>5.99</td>\n", " </tr>\n", " <tr>\n", " <th>1200</th>\n", " <td>6.00</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "<p>1201 rows × 1 columns</p>\n", "</div>" ], "text/plain": [ " x\n", "0 -6.00\n", "1 -5.99\n", "2 -5.98\n", "3 -5.97\n", "4 -5.96\n", "... ...\n", "1196 5.96\n", "1197 5.97\n", "1198 5.98\n", "1199 5.99\n", "1200 6.00\n", "\n", "[1201 rows x 1 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame({'x': np.arange(-6, 6.01, 0.01)})\n", "df" ] }, { "cell_type": "code", "execution_count": 3, "id": "fce8c5b5", "metadata": {}, "outputs": [], "source": [ "def linear(x):\n", " return x" ] }, { "cell_type": "code", "execution_count": 45, "id": "8f0042be", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='x'>" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df['linear'] = linear(df['x'])\n", "df.plot(x='x', y='linear')" ] }, { "cell_type": "code", "execution_count": 5, "id": "390c01a0", "metadata": {}, "outputs": [], "source": [ "def binary(x):\n", " if x < 0:\n", " return 0\n", " else:\n", " return 1" ] }, { "cell_type": "code", "execution_count": 6, "id": "74a20dd1", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='x'>" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAG1CAYAAADN1D82AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAsgElEQVR4nO3de3RU5b3/8c+eSSYJSQYSfkAiEbRRjNESZCVcNBGrh7bLW9HSX4sHSgtEWytRELAqFsSgHIlNixoVDVrlx6WCBcVYRT09bTmrFJBaK4W2Cgg2FyoxI7nMkJn5/ZFm2hhC9oSEeZh5v9Zykex5Zs93vk7Ih/08e28rGAwGBQAAYABHpAsAAABoRzABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIwRF+kCwhUMBhUI9M3Fah0Oq8/2HW3olX30yj56FR76ZR+9sq8veuVwWLIsy9bYMy6YBAJBHT3a2Ov7jYtzKC0tWR5Pk1pbA72+/2hCr+yjV/bRq/DQL/volX191av09GQ5nfaCCVM5AADAGAQTAABgDIIJAAAwBsEEAAAY44xb/GpXIBCQ398axnhLLS1O+Xxe+f2s3D6ZrnrldMbJ4SDrAgB6LuqCSTAYlMdzVM3Nx8J+7j/+4VAgwIptO7rqVVJSitzudNunhQEA8O+iLpi0h5KUlDS5XAlh/YJ0Oi2Oltj0+V4Fg0H5fF4dO1YvSerff2CkSgMAnMGiKpgEAv5QKElJcYf9/Lg4B+e423SiXrlcCZKkY8fqlZqaxrQOACBsUfWbw+/3S/rXL0icfu29D2d9DwAA7U4pmFRUVGjatGknHVNfX68777xTBQUFKigo0H333aempqZTedlusb4hcug9AOBU9DiYPPfcc1qxYkW340pKSnTo0KHQ+G3btun+++/v6csCAIAoFvYak9raWt17773atWuXzj333JOO3b17t37/+9+rqqpK2dnZkqQlS5Zo1qxZmjt3roYMGdKzqgEAQFQK+4jJ+++/r/79++vll19WXl7eScfu3LlTgwYNCoUSSRozZowsy9KuXbvCrzaGFBbmq6rqlS4fr6x8SpMnX3caKwIAoO+FfcTkyiuv1JVXXmlrbG1trTIzMztsc7lcGjBggKqrq8N96ZC4uBPnqUCg5+sb2pdGWJYUPAPOGJ4yZZpuvPH/RuS17fTK6bS6/P8US5xOR4c/0TWHw9Km//mbDnzcoOCZ8EMYYZZlyeWKk8/XSr+6Qa/ssyxLhZdkacTQ8M9s7S19erpwc3OzXC5Xp+0JCQnyer092qfDYSktLfmEj7W0OPWPfzhO6ZeiSb9AHI6u34fbnSIp5fQW9Dkn6lUgYMnhcKh//35KTEyMQFVmcruTIl2C8fb/vUGVL78f6TKAmPeXw5+qYsFVEXv9Pg0miYmJ8vl8nbZ7vV7169evR/sMBILyeE58Vo/P5/3npeiDHa6xEQwG5Tt+8uuTWFbbL1q/P9DrR0xc8Y4ena2yf/9+FRd/V/v2/VlDh2appGSuCgrGSWqbynnttS3asOEVVVf/Xd/4xvVasmSZ1q59QR988FcNHDhI06fP0LXXfk2S5PP5tGrVSr399lbV1dWqX79kFRSM1dy5C9S//4DQPmbN+p5eeulFuVwuFRVdoW3bfq2f/3xzqKZjx47p+uu/otLSZbrssqJOvfL7gwoEAmpoaFJzs7/nTYsSTqdDbneSPJ5m+f1cI+dkPqlv+7lOTozTV8YMi3A15rMclhIS4uX1HlcwwFGAk6FX9lkOS5fmDe31v7Pc7iTb//Dv02CSkZGhN998s8M2n8+nTz/99JQWvnZ1EbQTXbU1GAzqodXv6G8fN/T49U7VeVn9dfd/jg47nLz44lqVlNypu+/+kV5/vUpz587W008/r5ycC084/rHHyjV37gKdffZwrVu3Wg8/vFSjR+frrLOGqqJihX7zm1/p3nsX66yzhurDDz/Q0qWL9LOfVaqk5M7QPt544zX99KdPyOttUXy8Sy++uFbvvvsH5eWNkiS99dYbSk5O1qWXXnbSAPf5cBjr/P4A/ehG4J9/CaYkxevaS8+JbDFngLg4h9LSklVf38hnqxv0yj4TetWn8xYFBQWqqanRwYMHQ9u2b98uSRo9enRfvnRHZ+ilNSZN+romTfq6hg0bruLi7+vii7+on/98TZfjv/Wt/1Rh4QQNH36OfvCDOxQIBPT+++9Jki68MFcLF96v0aPzlZGRqUsvLdSYMeP1wQd/67CPG274hs499wvKyclVdvZ5uuCCC/X666+GHv/lL7foK1+5WnFxUXXRYBiAf8cCkHr5iInf79fRo0eVmpqqxMRE5eXlafTo0ZozZ44WL16spqYmLVq0SJMmTTptpwpblqW7/3N0t1M5Ut9dkr6nUzl5eZd0+D4392Lt2rWzy/HDh//r9O2UlLb1J62tbVdg/cpXrtbOnb/XU089rkOHPtKBA/v10UcHNHLkqA77yMo6u8P311xzvVaurNAdd8xXXV2t3nvvj5o//56w3wsAAHb06hGT6upqFRYWqqqqSlJbKHjssceUlZWl6dOn64477tDll1+uxYsX9+bLdsuyLCW4nBH7r6dXQ/38vWb8/oDi4+O7HH+ix9pXoJeVLdN99/1QXm+LLr20UIsWPaD/+I+vdBqfkNDxcv4TJ35VPp9P//u/v9Hrr1fpwgtz9YUvnNeTtwPYw9WDgZh2SkdMli1b1uH7rKws7du3r8O2gQMH2rpCLDrbt2+vioquCH3/3nvv6rzzzg97Pw0Nn2rTpg26//4HddVVXw5tP3Bgf7eLkFNTU3X55VfoV796W/v3f6BJkyaH/foAANjFQgGDrV///zR0aJYuuuhibdq0UR9++DctWlQa9n6Sk1OUkpKi3/zmf3TBBRfK6/Vqw4b1+stf9io39+Jun3/NNdfrhz+cq2BQJzzKAvQGLi8BQIqyuwtHm+98Z5ZefHGdpk+fot27d+nhh3+iYcOGh72fuLg4PfDAMu3f/4G+/e1v6c47Z8vrbdEtt/xA+/d/qObm5pM+Pz9/jPr3H6CioglKTU3t6dsBAKBbVvAMuwye3x/Q0aONJ3zs+HGfPvmkWgMHZio+vvOF3brTV4tfz3TNzc362te+qqVLH1ZBwVhJXffqVP8fRBsTTr07U3zwd4+WPr9TGen99ODN4yJdjvH4bNlHr+zrq16lpyebcR0TnNk8Ho/eeWeH3n77TQ0ZMkT5+WMiXRKi2hn1byQAfYRggi75/a1atuwBDRiQpiVLHurx2UUAANhFMEGX0tLS9ctf/irSZSDGkH+B2MbiVwAAYIyoDCZn2HreqELv0VN8dABIURZMHA6nJCkQ4K62kdLe+/b/FwAAhCPKgolDDodTLS1NkS4lZrW0NMnhcHa6nD4AAHZE1eJXy7KUkjJAHs8nOnYsXi5XYlhnkgQClvx+jifb8fleBYNB+XwtamlplNs9kDN4AAA9ElXBRJKSkpJ1/LhXx441SPo0rOc6HA4FAlx8x44T98pSUlKKkpKSI1ITAODMF3XBxLIs9e8/UKmpA+T3219r4nRa6t+/nxoamjhq0o2ueuV0OllbglPG0TYgtkVdMGnXts7B/i/JuDiHEhMT1dzs55LF3aBXAIC+wgpFAEbgVHMAEsEEAAAYhGACwCisMAFiG8EEgBGYyAEgEUwAAIBBCCYAzMJcDhDTCCYAAMAYBBMAZmCRCQARTAAAgEEIJgCMwhITILYRTAAYgZkcABLBBAAAGIRgAsAo3F0YiG0EEwAAYAyCCQAjcHdhABLBBAAAGIRgAgAAjEEwAQAAxiCYAAAAYxBMABiFs4WB2EYwAQAAxiCYADACZwsDkAgmAADAIAQTAABgDIIJACMwkwNAIpgAAACDEEwAGIW7CwOxjWACAACMQTABYAhWmQAgmAAAAIMQTAAYhRUmQGwjmAAwAld+BSARTAAAgEEIJgDMwlwOENMIJgAAwBgEEwAAYAyCCQAAMAbBBIBRLBaZADGNYALACJwuDEAimAAAAIMQTAAYhZsLA7GNYAIAAIwRdjAJBAJasWKFioqKlJeXpxkzZujgwYNdjj9y5Ijmzp2rsWPHauzYsbr99ttVU1NzSkUDiD5B7i4MQD0IJhUVFVq3bp1KS0u1fv16WZal4uJi+Xy+E46fM2eOqqur9eyzz+rZZ59VTU2Nbr311lMuHAAARJ+wgonP59OqVas0e/ZsTZgwQTk5OSovL1dtba22bt3aabzH49GOHTtUXFys3Nxc5ebm6uabb9b777+v+vr6XnsTAAAgOoQVTPbu3avGxkaNGzcutM3tdis3N1c7duzoND4hIUH9+vXTpk2bdOzYMR07dkybN2/WOeeco/79+5969QCiBzM5ACTFhTO4fW1IZmZmh+2DBw9WdXV1p/EJCQlaunSplixZovz8fFmWpUGDBmn16tVyOHq+7jYurvfX7Dqdjg5/omv0yj56ZZ/D0XY6jmX1zc94tOGzZR+9ss+EXoUVTJqbmyVJLperw/aEhAQ1NDR0Gh8MBrVv3z5dcsklmjVrlvx+v8rLy/WDH/xAa9euVUpKStgFOxyW0tKSw36eXW53Up/tO9rQK/voVff69ftMkhTndPbpz3i04bNlH72yL5K9CiuYJCYmSmpba9L+tSR5vV4lJXV+E6+++qrWrFmj//7v/w6FkCeffFJf+tKXtHHjRk2fPj3sggOBoDyeprCf1x2n0yG3O0keT7P8/kCv7z+a0Cv76JV9TU1eSVKrP6D6+sYIV2M+Plv20Sv7+qpXbneS7aMwYQWT9imcuro6DRs2LLS9rq5OOTk5ncbv2rVL5557bocjI/3799e5556rAwcOhPPSHbS29t0Hy+8P9On+owm9so9edc8faF9kEqRXYeCzZR+9si+SvQprEiknJ0cpKSnavn17aJvH49GePXuUn5/faXxmZqYOHjwor9cb2tbc3KzDhw9r+PDhp1A2AACIRmEFE5fLpalTp6qsrExvvfWW9u7dqzlz5igjI0MTJ06U3+/XkSNH1NLSIkmaNGmSJOmOO+7Q3r17Q+NdLpduvPHGXn8zAKIB16QHYlnYy25LSko0efJkLVy4UFOmTJHT6VRlZaVcLpeqq6tVWFioqqoqSW1n66xZs0bBYFDTp0/Xd7/7XcXHx2vt2rVyu929/mYAnLmC3F4YgMJcYyJJTqdT8+fP1/z58zs9lpWVpX379nXYlp2drSeffLLnFQIAgJjBSd0AjMLdhYHYRjABAADGIJgAAABjEEwAAIAxCCYAjMISEyC2EUwAGIGzhQFIBBMAAGAQggkAADAGwQQAABiDYALACCwxASARTAAAgEEIJgCMYnFNeiCmEUwAmIHzhQGIYAIAAAxCMAFgFCZygNhGMAEAAMYgmAAwAitMAEgEEwAAYBCCCQCzsMgEiGkEEwBmYC4HgAgmAADAIAQTAEZhJgeIbQQTAABgDIIJACOwxASARDABAAAGIZgAMAp3FwZiG8EEgBGC3F0YgAgmAADAIAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABYBTOFgZiG8EEgBE4WxiARDABAAAGIZgAMAxzOUAsI5gAAABjEEwAGIElJgAkggkAADAIwQSAUThdGIhtBBMAZuB8YQAimAAAAIMQTAAYhZkcILYRTAAAgDEIJgCMwAoTABLBBAAAGIRgAsAsLDIBYhrBBIAZmMsBIIIJAAAwCMEEgFEs5nKAmEYwAQAAxiCYADBCkEUmAEQwAQAABiGYADAKdxcGYhvBBIARuLkwAKkHwSQQCGjFihUqKipSXl6eZsyYoYMHD3Y5/vjx43rkkUdUVFSkUaNGaerUqfrzn/98SkUDAIDoFHYwqaio0Lp161RaWqr169fLsiwVFxfL5/OdcPzixYu1YcMGPfDAA9q4caMGDBig4uJiffbZZ6dcPAAAiC5hBROfz6dVq1Zp9uzZmjBhgnJyclReXq7a2lpt3bq10/hDhw5pw4YNeuihh3TFFVcoOztbDz74oFwul/70pz/12psAAADRIaxgsnfvXjU2NmrcuHGhbW63W7m5udqxY0en8b/97W/ldrt1+eWXdxj/9ttva/z48adQNgAAiEZx4QyuqamRJGVmZnbYPnjwYFVXV3caf+DAAZ199tl64403tHLlStXW1io3N1c//OEPlZ2d3fOi43p/za7T6ejwJ7pGr+yjV/ZZjrbTcSzL6pOf8WjDZ8s+emWfCb0KK5g0NzdLklwuV4ftCQkJamho6DT+2LFj+uijj1RRUaEFCxbI7XbriSee0E033aSqqioNHDgw7IIdDktpaclhP88utzupz/YdbeiVffSqe0mJbX+vxMc7+/RnPNrw2bKPXtkXyV6FFUwSExMlta01af9akrxer5KSOr+J+Ph4ffbZZyovLw8dISkvL9eECRP0i1/8QrNmzQq74EAgKI+nKezndcfpdMjtTpLH0yy/P9Dr+48m9Mo+emVfc3PbAvrWVr/q6xsjXI35+GzZR6/s66teud1Jto/ChBVM2qdw6urqNGzYsND2uro65eTkdBqfkZGhuLi4DtM2iYmJOvvss3X48OFwXrqD1ta++2D5/YE+3X80oVf20avuBQJtFzIJBoP0Kgx8tuyjV/ZFsldhTSLl5OQoJSVF27dvD23zeDzas2eP8vPzO43Pz89Xa2ur3nvvvdC2lpYWHTp0SMOHDz+FsgFELy79CsSysI6YuFwuTZ06VWVlZUpPT9fQoUO1fPlyZWRkaOLEifL7/Tp69KhSU1OVmJio/Px8XXrppbrrrru0ZMkSDRgwQCtWrJDT6dTXvva1vnpPAADgDBX2stuSkhJNnjxZCxcu1JQpU+R0OlVZWSmXy6Xq6moVFhaqqqoqNP7RRx/VmDFjdNttt2ny5Mk6duyYnn/+eaWnp/fqGwFwZuPuwgAkyQoGz6w7VPj9AR092vsL4+LiHEpLS1Z9fSNzkN2gV/bRK/u2/alalVv+rLzz/o9unzwy0uUYj8+WffTKvr7qVXp6su3Fr5zUDcAo3F0YiG0EEwBmOKOO3QLoKwQTAABgDIIJAKMwkwPENoIJACMwkwNAIpgAAACDEEwAAIAxCCYAzMIiEyCmEUwAGOHMutQjgL5CMAEAAMYgmAAwisVcDhDTCCYADMFcDgCCCQAAMAjBBAAAGINgAsAo3F0YiG0EEwBG4HRhABLBBAAAGIRgAgAAjEEwAQAAxiCYAAAAYxBMABiFs3KA2EYwAQAAxiCYADACZwsDkAgmAADAIAQTAEbh7sJAbCOYADBCkEu/AhDBBAAAGIRgAsAszOQAMY1gAgAAjEEwAQAAxiCYAAAAYxBMABiFJSZAbCOYADACZwsDkAgmAADAIAQTAGbh9sJATCOYAAAAYxBMABghyP2FAYhgAgAADEIwAWAUVpgAsY1gAsAMzOQAEMEEAAAYhGACwChM5QCxjWACAACMQTABYASWmACQCCYAAMAgBBMAZmGRCRDTCCYAjMDdhQFIBBMAAGAQggkAo1jM5QAxjWACAACMQTABYAgWmQAgmAAAAIMQTAAYxWKJCRDTCCYAjMDpwgAkggkAADBI2MEkEAhoxYoVKioqUl5enmbMmKGDBw/aeu4rr7yiCy64QIcPHw67UAAAEP3CDiYVFRVat26dSktLtX79elmWpeLiYvl8vpM+7+OPP9b999/f40IBAED0CyuY+Hw+rVq1SrNnz9aECROUk5Oj8vJy1dbWauvWrV0+LxAIaP78+broootOuWAAABC9wgome/fuVWNjo8aNGxfa5na7lZubqx07dnT5vCeffFLHjx/XLbfc0vNKAQBA1IsLZ3BNTY0kKTMzs8P2wYMHq7q6+oTP+eMf/6hVq1Zpw4YNqq2t7WGZHcXF9f6aXafT0eFPdI1e2Uev7LP+eZ6ww2H1yc94tOGzZR+9ss+EXoUVTJqbmyVJLperw/aEhAQ1NDR0Gt/U1KR58+Zp3rx5Ouecc3olmDgcltLSkk95P11xu5P6bN/Rhl7ZR6+6l5AQL0mKj3f26c94tOGzZR+9si+SvQormCQmJkpqW2vS/rUkeb1eJSV1fhOlpaU655xz9K1vfesUy/yXQCAoj6ep1/bXzul0yO1OksfTLL8/0Ov7jyb0yj56ZZ/Xe1ySdPy4X/X1jRGuxnx8tuyjV/b1Va/c7iTbR2HCCibtUzh1dXUaNmxYaHtdXZ1ycnI6jd+4caNcLpcuueQSSZLf75ckXXvttbr++uu1ZMmScF4+pLW17z5Yfn+gT/cfTeiVffSqe4FA2xXWgsG+/RmPNny27KNX9kWyV2EFk5ycHKWkpGj79u2hYOLxeLRnzx5NnTq10/g33nijw/fvvvuu5s+fr5UrVyo7O/sUygYAANEorGDicrk0depUlZWVKT09XUOHDtXy5cuVkZGhiRMnyu/36+jRo0pNTVViYqKGDx/e4fnti2fPOussDRw4sPfeBYAzXpC7CwNQDy6wVlJSosmTJ2vhwoWaMmWKnE6nKisr5XK5VF1drcLCQlVVVfVFrQAAIMqFdcREkpxOp+bPn6/58+d3eiwrK0v79u3r8rljx4496eMAwN2FgdjGSd0AzMBMDgARTAAAgEEIJgCMwkwOENsIJgAAwBgEEwBGYIkJAIlgAgAADEIwAWAWFpkAMY1gAsAIQeZyAIhgAgAADEIwAWAUi7kcIKYRTAAAgDEIJgAMwSITAAQTAABgEIIJAKNwd2EgthFMABiB04UBSAQTAABgEIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAMIrF+cJATCOYADBCkPOFAYhgAgAADEIwAWAUJnKA2EYwAQAAxiCYADACK0wASAQTAABgEIIJALOwyASIaQQTAGZgLgeACCYAAMAgBBMARmEmB4htBBMAAGAMggkAI7DEBIBEMAEAAAYhmAAwC3cXBmIawQSAEbi7MACJYAIAAAxCMAFgFCZygNhGMAEAAMYgmAAAAGMQTAAAgDEIJgCMwtnCQGwjmAAwAmcLA5AIJgAAwCAEEwAAYAyCCQAAMAbBBIARWGICQCKYAAAAgxBMABjF4nxhIKYRTACYgfOFAYhgAgAADEIwAWAUJnKA2EYwAQAAxiCYADACK0wASAQTAABgkLCDSSAQ0IoVK1RUVKS8vDzNmDFDBw8e7HL8X//6V918880aO3asxo8fr5KSEv39738/paIBRDEWmQAxLexgUlFRoXXr1qm0tFTr16+XZVkqLi6Wz+frNLa+vl7f/e53lZycrNWrV+vpp59WfX29Zs2aJa/X2ytvAECUYC4HgMIMJj6fT6tWrdLs2bM1YcIE5eTkqLy8XLW1tdq6dWun8W+++aaam5u1bNkynX/++br44ou1fPlyffDBB3rnnXd67U0AAIDoEFYw2bt3rxobGzVu3LjQNrfbrdzcXO3YsaPT+PHjx+vxxx9XQkJCp8caGhp6UC6AaMdMDhDb4sIZXFNTI0nKzMzssH3w4MGqrq7uND4rK0tZWVkdtj311FNKSEhQQUFBuLWGxMX1/ppdp9PR4U90jV7ZR6/ssxxtkcSyrD75GY82fLbso1f2mdCrsIJJc3OzJMnlcnXYnpCQYOsIyPPPP681a9bo7rvv1sCBA8N56RCHw1JaWnKPnmuH253UZ/uONvTKPnrVPZer7a8jV0Jcn/6MRxs+W/bRK/si2auwgkliYqKktrUm7V9LktfrVVJS128iGAzqpz/9qZ544gndcsst+s53vtOzaiUFAkF5PE09fn5XnE6H3O4keTzN8vsDvb7/aEKv7KNX9nm9rZIkn7dV9fWNEa7GfHy27KNX9vVVr9zuJNtHYcIKJu1TOHV1dRo2bFhoe11dnXJyck74nOPHj+vuu+/Wli1btGDBAs2cOTOclzyh1ta++2D5/YE+3X80oVf20avuBf95E7+g+vZnPNrw2bKPXtkXyV6FNYmUk5OjlJQUbd++PbTN4/Foz549ys/PP+FzFixYoF/+8pd65JFHeiWUAIhOQc4XBqAwj5i4XC5NnTpVZWVlSk9P19ChQ7V8+XJlZGRo4sSJ8vv9Onr0qFJTU5WYmKiXXnpJVVVVWrBggcaMGaMjR46E9tU+BgAAoF3Yy25LSko0efJkLVy4UFOmTJHT6VRlZaVcLpeqq6tVWFioqqoqSdKWLVskSQ8//LAKCws7/Nc+BgD+HacLA7EtrCMmkuR0OjV//nzNnz+/02NZWVnat29f6PtVq1adWnUAACCmcFI3ADOwxASACCYAAMAgBBMARrFYZALENIIJACMwkwNAIpgAAACDEEwAGIa5HCCWEUwAAIAxCCYAjBBkkQkAEUwAAIBBCCYAjMLpwkBsI5gAMARzOQAIJgAAwCAEEwBGYSYHiG0EEwAAYAyCCQAjcLowAIlgAgAADEIwAWAWFpkAMY1gAsAIzOQAkAgmAADAIAQTAEaxmMsBYhrBBAAAGINgAsAMnC8MQAQTAABgEIIJAKOwwgSIbQQTAEZgIgeARDABAAAGIZgAMAtzOUBMI5gAAABjEEwAmIFFJgBEMAEAAAYhmAAwCktMgNhGMAFgBGZyAEgEEwAAYBCCCQCzWEzmALGMYALACEFu4gdABBMAAGAQggkAADAGwQSAUVhhAsQ2ggkAADAGwQQAABiDYALAKJwtDMQ2ggkAI3C2MACJYAIAAAxCMAEAAMYgmAAAAGMQTAAYgSUmACSCCQAAMAjBBIBRLM4XBmIawQSAGThfGIAIJgAAwCAEEwBGYSIHiG0EEwAAYAyCCQAjsMIEgEQwAQAABiGYADALi0yAmBZ2MAkEAlqxYoWKioqUl5enGTNm6ODBg12Or6+v15133qmCggIVFBTovvvuU1NT0ykVDSAKMZcDQD0IJhUVFVq3bp1KS0u1fv16WZal4uJi+Xy+E44vKSnRoUOH9Nxzz2nFihXatm2b7r///lMuHAAARJ+wgonP59OqVas0e/ZsTZgwQTk5OSovL1dtba22bt3aafzu3bv1+9//Xg899JAuuugijR8/XkuWLNHmzZtVW1vba28CQPRgJgeIbWEFk71796qxsVHjxo0LbXO73crNzdWOHTs6jd+5c6cGDRqk7Ozs0LYxY8bIsizt2rXrFMoGAADRKC6cwTU1NZKkzMzMDtsHDx6s6urqTuNra2s7jXW5XBowYMAJx9sVF9f7a3a376nVh9WfyedrVZBLY5+UZVlyueLolQ30yr59hz6VJFkOR5/8jEcbp9PR4U90jV7ZZ0Kvwgomzc3NktrCxb9LSEhQQ0PDCcd/fmz7eK/XG85LhzgcltLSknv03K4EAkE9W/VnNbW09up+AYRv4ICkXv8Zj2Zud1KkSzhj0Cv7ItmrsIJJYmKipLa1Ju1fS5LX61VSUuc3kZiYeMJFsV6vV/369Qu3VkltIcLj6f2zem7/Rp4O1jXK6z2uYIB/2Z6M5bCUkBBPr2ygV/ZZDkvpA5JUcMEg1dc3Rroc4zmdDrndSfJ4muX3ByJdjtHolX191Su3O8n2UZiwgkn7tExdXZ2GDRsW2l5XV6ecnJxO4zMyMvTmm2922Obz+fTpp59qyJAh4bx0B62tvf/BunB4mi4dlaX6+sY+2X80iYtzKC0tmV7ZQK/so1c94/cH6JdN9Mq+SPYqrEmknJwcpaSkaPv27aFtHo9He/bsUX5+fqfxBQUFqqmp6XCdk/bnjh49uqc1AwCAKBXWEROXy6WpU6eqrKxM6enpGjp0qJYvX66MjAxNnDhRfr9fR48eVWpqqhITE5WXl6fRo0drzpw5Wrx4sZqamrRo0SJNmjTplI6YAACA6BT2stuSkhJNnjxZCxcu1JQpU+R0OlVZWSmXy6Xq6moVFhaqqqpKUtsZCY899piysrI0ffp03XHHHbr88su1ePHi3n4fAAAgCljBM+wcRr8/oKNHe39hHPPb9tEr++iVffQqPPTLPnplX1/1Kj092fbiV07qBgAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGOOOu/BoMBhXoo9vHO50OboltE72yj17ZR6/CQ7/so1f29UWvHA5LlmXZGnvGBRMAABC9mMoBAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGAMggkAADAGwQQAABiDYAIAAIxBMAEAAMYgmAAAAGMQTAAAgDEIJgAAwBgEEwAAYAyCyQlUVlbqqquu0siRI3XjjTfqd7/7XaRLMt7OnTt14YUXavv27ZEuxUjV1dWaO3euLrvsMhUUFGjmzJn661//GumyjBEIBLRixQoVFRUpLy9PM2bM0MGDByNdlpE+/fRT/ehHP9Lll1+u0aNHa8qUKdq5c2ekyzLe/v37dckll+ill16KdCnG2rRpk66++mp98Ytf1DXXXKPXXnstInUQTD6noqJCjz76qG6//Xa9/PLLGjlypL7//e/r0KFDkS7NWJ999pkWLFigQCAQ6VKM5PP5dPPNN+uTTz7RU089pTVr1ig1NVXTp0/X0aNHI12eESoqKrRu3TqVlpZq/fr1sixLxcXF8vl8kS7NOHPnztW7776rH//4x9qwYYMuuugizZw5Ux988EGkSzPW8ePHNW/ePDU1NUW6FGNt3rxZ99xzj775zW9qy5YtuvrqqzV37lzt3r379BcTREhjY2Nw1KhRwdWrV4e2tba2Bq+77rrgL37xi8gVZri5c+cGv/3tbwdHjBgR/N3vfhfpcoyzbdu24IgRI4I1NTWhbV6vN5iXlxd88cUXI1iZGbxeb/CSSy4JrlmzJrStoaEhOHLkyOCWLVsiWJl5Dhw4EBwxYkRw165doW2BQCA4ceLE4E9+8pMIVma2Rx55JDht2rTgiBEjghs3box0OcYJBALBL33pS8Fly5Z12D5jxozgk08+edrriTv9UchcO3fuVHNzs6655prQNqfTqZdffjmCVZlt8+bN2r17t5544gldf/31kS7HSOeff75WrlypIUOGdNgeDAbV0NAQoarMsXfvXjU2NmrcuHGhbW63W7m5udqxY0eHn8dYl5aWppUrV+riiy8ObbMsi8/SSezYsUPr16/Xpk2bdMUVV0S6HCN9+OGH+vjjj3Xdddd12F5ZWRmRepjK+TcHDhxQ//79tW/fPk2ZMkXjx4/XtGnT9M4770S6NCMdPnxYS5cu1cMPP6zk5ORIl2OsQYMGacKECR22Pf/88/J6vbrssssiVJU5ampqJEmZmZkdtg8ePFjV1dWRKMlYbrdbEyZMkMvlCm177bXX9NFHH6mwsDCClZnJ4/FowYIFWrhwYafPF/7lwIEDkqSmpibNnDlT48eP1ze+8Q29/fbbEaknpo6YHD58WFdddVWXj99+++1qaWnRj370I915550666yztH79ek2fPl2bNm1Sdnb2aaw2srrr1a9//WstWLBA3/zmN5Wfn6/Dhw+fxurM0l2vfvvb32rQoEGh79944w2Vl5dr2rRpysnJOR0lGq25uVmSOvyylaSEhASOAnRj165duueee3TVVVfpyiuvjHQ5xlm8eLFGjRrV6UgAOjp27Jgk6a677tJtt92mefPm6fXXX9ett96qZ599VuPHjz+t9cRUMBkyZIiqqqq6fPytt95SS0uL7rnnntC/cC+66CLt3r1bq1ev1qJFi05XqRHXXa9efPFFNTU1afbs2aexKjN116v09PTQ12vXrtUDDzygq6++WnfffffpKM94iYmJktoWCbd/LUler1dJSUmRKst4b775pubNm6e8vDz9+Mc/jnQ5xtm0aZN27typV155JdKlGC8+Pl6SNHPmTN1www2SpAsvvFB79uwhmPS1+Pj4kx712LNnjyTpggsuCG2zLEvZ2dkxd0Sgu1699NJLqqur09ixYyW1rZeQpOLiYo0ZM0bPPPPMaanTBN31ql1ZWZmefvppTZs2Tffee68syzoN1Zmv/RB7XV2dhg0bFtpeV1fHEaUurF69WkuXLtXEiRNVVlbW6WgTpI0bN+qTTz7ptK5k0aJFqqys1KuvvhqZwgyUkZEhSRoxYkSH7eedd55+9atfnfZ6YiqYdCc/P1+WZekPf/iDvvrVr0pq+4X7t7/97bQnRtO98MILam1tDX1fW1uradOmqbS0NBRW8C/Lly/XM888owULFmjmzJmRLscoOTk5SklJ0fbt20PBxOPxaM+ePZo6dWqEqzPPmjVr9MADD2jatGm655575HCwVPBEysrK1NLS0mHbl7/8ZZWUlOjqq6+OUFVmys3NVXJyst59913l5+eHtv/lL3/p8I+F04Vg8m8yMzP19a9/XaWlpUpKStLw4cP1wgsv6PDhw7rpppsiXZ5Rhg4d2uF7p9MpqW1a4/Nnn8S67du365lnntG0adN0/fXX68iRI6HH+vXrF/MLh10ul6ZOnaqysjKlp6dr6NChWr58uTIyMjRx4sRIl2eU/fv368EHH9TEiRN1yy236JNPPgk9lpiYqNTU1AhWZ5au/h4aOHBgp7+/Yl1iYqJmzZqlxx9/XEOGDNHIkSP16quvatu2bXruuedOez0Ek89ZvHixHnvsMS1cuFANDQ3Kzc3VqlWr9IUvfCHSpeEMtWXLFkltR5leeOGFDo/ddtttrNORVFJSotbWVi1cuFAtLS0qKChQZWUlUxSf8/rrr+v48ePaunWrtm7d2uGxG264QcuWLYtQZTjT3XrrrUpKSlJ5eblqa2uVnZ2tRx99NCJHwK1g++IAAACACGNyEgAAGINgAgAAjEEwAQAAxiCYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABEDFvvfWWLrjgAj366KOhbfv379eoUaN01113RbAyAJHCvXIARNRdd92lV199VZs3b9Y555yjm266SUeOHNHLL7+slJSUSJcH4DQjmACIKI/Ho2uvvVbDhw9XUVGRfvKTn+j5559Xfn5+pEsDEAEEEwAR9+tf/1rFxcVyOBy6+eabNWfOnEiXBCBCWGMCIOLGjx+vzMxMBQIBXXnllZEuB0AEEUwARNzjjz+uf/zjH8rOztbChQvl8/kiXRKACCGYAIio9957T08//bS+973v6ZFHHtGHH37Y4SwdALGFNSYAIsbn8+mGG26QZVl66aWX5HK59F//9V/62c9+prVr1yovLy/SJQI4zQgmACLm4Ycf1rPPPqu1a9dq1KhRkqTm5mZde+21io+P1+bNm5WQkBDZIgGcVgQTAABgDNaYAAAAYxBMAACAMQgmAADAGAQTAABgDIIJAAAwBsEEAAAYg2ACAACMQTABAADGIJgAAABjEEwAAIAxCCYAAMAYBBMAAGCM/w9J05rM0DNo4gAAAABJRU5ErkJggg==", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df['binary'] = df['x'].apply(binary)\n", "df.plot(x='x', y='binary')" ] }, { "cell_type": "code", "execution_count": 7, "id": "c05c4d3d", "metadata": {}, "outputs": [], "source": [ "def sigmoid(x):\n", " return 1 / (1 + np.exp(-x))" ] }, { "cell_type": "code", "execution_count": 8, "id": "9384b5b3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='x'>" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df['sigmoid'] = df['x'].apply(sigmoid)\n", "df.plot(x='x', y='sigmoid')" ] }, { "cell_type": "code", "execution_count": 9, "id": "799aecd2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='x'>" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df['sigmoid_grad'] = df['sigmoid'] * (1 - df['sigmoid'])\n", "df.plot(x='x', y=['sigmoid', 'sigmoid_grad'])" ] }, { "cell_type": "code", "execution_count": 15, "id": "98f0507f", "metadata": {}, "outputs": [], "source": [ "def sigmoid_grad(x):\n", " return sigmoid(x) * (1 - sigmoid(x))" ] }, { "cell_type": "code", "execution_count": 28, "id": "5dd98e1d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='x', ylabel='sigmoid_grad'>" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "index = np.arange(-20, 21, 1)\n", "pd.Series(data=sigmoid_grad(index), index=index).plot(logy=True, ylim=(1E-10, 1), xlabel='x', ylabel='sigmoid_grad')" ] }, { "cell_type": "code", "execution_count": 22, "id": "35d04d76", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([2.06115361e-09, 5.60279637e-09, 1.52299793e-08, 4.13993738e-08,\n", " 1.12535149e-07, 3.05902133e-07, 8.31527336e-07, 2.26031919e-06,\n", " 6.14413685e-06, 1.67011429e-05, 4.53958077e-05, 1.23379350e-04,\n", " 3.35237671e-04, 9.10221180e-04, 2.46650929e-03, 6.64805667e-03,\n", " 1.76627062e-02, 4.51766597e-02, 1.04993585e-01, 1.96611933e-01,\n", " 2.50000000e-01, 1.96611933e-01, 1.04993585e-01, 4.51766597e-02,\n", " 1.76627062e-02, 6.64805667e-03, 2.46650929e-03, 9.10221180e-04,\n", " 3.35237671e-04, 1.23379350e-04, 4.53958077e-05, 1.67011429e-05,\n", " 6.14413685e-06, 2.26031919e-06, 8.31527336e-07, 3.05902133e-07,\n", " 1.12535149e-07, 4.13993739e-08, 1.52299793e-08, 5.60279642e-09,\n", " 2.06115369e-09])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sigmoid_grad(index)" ] }, { "cell_type": "code", "execution_count": 29, "id": "dbc8ea6b", "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2023-07-24 11:07:18.321966: I tensorflow/core/platform/cpu_feature_guard.cc:182] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n", "To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n" ] } ], "source": [ "import tensorflow as tf" ] }, { "cell_type": "code", "execution_count": 42, "id": "c3140ff2", "metadata": {}, "outputs": [], "source": [ "def my_show(df, tf_func):\n", " name = tf_func.__name__.split('.')[-1]\n", " grad_name = name+'_grad'\n", " x = tf.constant(df['x'])\n", " with tf.GradientTape() as tape:\n", " tape.watch(x)\n", " y = tf_func(x)\n", " dy_dx = tape.gradient(y, x)\n", "\n", " df[name] = y.numpy()\n", " df[grad_name] = dy_dx.numpy()\n", " df.plot(x='x', y=[name, grad_name]) " ] }, { "cell_type": "code", "execution_count": 40, "id": "b7ea6ebe", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_show(df, tf.keras.activations.tanh)" ] }, { "cell_type": "code", "execution_count": 36, "id": "0037a98c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='x'>" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = tf.constant(df['x'])\n", "with tf.GradientTape() as tape:\n", " tape.watch(x)\n", " y = tf.keras.activations.tanh(x)\n", "dy_dx = tape.gradient(y, x)\n", "\n", "df['tanh'] = y.numpy()\n", "df['tanh_grad'] = dy_dx.numpy()\n", "df.plot(x='x', y=['tanh', 'tanh_grad'])" ] }, { "cell_type": "code", "execution_count": 43, "id": "1466bdc0", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_show(df, tf.keras.activations.relu)" ] }, { "cell_type": "code", "execution_count": 52, "id": "d8744be6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.] [0.]\n" ] } ], "source": [ "x = tf.constant([0.0])\n", "with tf.GradientTape() as tape:\n", " tape.watch(x)\n", " y = tf.keras.activations.relu(x)\n", "dy_dx = tape.gradient(y, x)\n", "print(y.numpy(), dy_dx.numpy())" ] }, { "cell_type": "code", "execution_count": 54, "id": "edbfb710", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def leaky_relu(x):\n", " return tf.keras.activations.relu(x, alpha=0.01)\n", "my_show(df, leaky_relu)" ] }, { "cell_type": "code", "execution_count": 55, "id": "08e9229d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_show(df, tf.keras.activations.elu)" ] }, { "cell_type": "code", "execution_count": 56, "id": "dff991f0", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_show(df, tf.keras.activations.selu)" ] }, { "cell_type": "code", "execution_count": 61, "id": "a423c400", "metadata": {}, "outputs": [], "source": [ "from scipy.stats import norm" ] }, { "cell_type": "code", "execution_count": 62, "id": "24ce71df", "metadata": {}, "outputs": [], "source": [ "x = np.linspace(norm.ppf(0.01),\n", " norm.ppf(0.99), 100)" ] }, { "cell_type": "code", "execution_count": 69, "id": "90fcfd39", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='X'>" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiYAAAG1CAYAAADN1D82AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABstElEQVR4nO3dd3wUdf7H8dds3zRSSCMQAgESauhFQJpYsCueotg40TtP0bOeyokFzwKKh4oiP1Gxd0VFRIpUpfdOIIT0kEqS7TO/PwLxEEsCSWaz+TwfDx7A7OzOJ/PNbt6Z+RZF0zQNIYQQQgg/YNC7ACGEEEKIEySYCCGEEMJvSDARQgghhN+QYCKEEEIIvyHBRAghhBB+Q4KJEEIIIfyGBBMhhBBC+A0JJkIIIYTwGxJMhBBCCOE3THoXUFeapqGqgTlZrcGgBOzX1lRIG+hLzr/+pA30F4htYDAoKIpSq32bXDBRVY3i4kq9y6h3JpOBiIhgysur8HpVvctplqQN9CXnX3/SBvoL1DaIjAzGaKxdMJFbOUIIIYTwGxJMhBBCCOE3JJgIIYQQwm9IMBFCCCGE32hynV9rS1VVfD6v3mXUmqoqOJ1G3G4XPl9g9cZuSEajCYNB8rUQQgSKgAsmmqZRXl6Mw1Ghdyl1dvSoAVUNnF7YjcVuDyEsLLLWQ9GEEEL4rzMKJrNmzeKnn37inXfe+d19SkpKmDp1KitWrADg/PPP56GHHiIoKOhMDv27ToSSkJAILBZrk/phZTQqcrWkDjRNw+12UVFRAkCLFlE6VySEEOJMnXYweeutt5g5cyb9+vX7w/0mTZqEy+Xirbfeory8nEceeYTHH3+cZ5999nQP/btU1VcTSkJCwur99RuayWQIqHHrjcFisQJQUVFCaGiE3NYRQogmrs7BJD8/n0ceeYSNGzfSrl27P9x38+bNrFu3jgULFpCcnAzAE088wS233MI999xDbGzs6VX9O3w+H/DLDyvRPJxob5/Pi8Fg0bkaIYQQZ6LOv17u3LmTFi1aMH/+fNLS0v5w3w0bNhAdHV0TSgD69++Poihs3Lix7tXWUlO6fSPOnLS3EEIEjjpfMRk5ciQjR46s1b75+fnEx8eftM1isRAeHk5ubm5dD13DZPrtPKWqTfcH1ImfrYoCmnQzOS1Go/K73xu1e77hpL9F45Lzrz9pA/1JGzTwqByHw4HFcuqldavVisvlOq3XNBgUIiKCf/Mxp9PI0aOGM/4Bpafm/M14ulRVwWAw0KJFEDab7YxfLyzMXg9VidMl519/0gb6a85t0KDBxGaz4Xa7T9nucrlOe1SOqmqUl1f95mNut+v4/CVak+tEqijVocTnU5v1FZOxYy/mggsu4q9/vQ2Ad999iw8/fBeHw8GUKU9x9tnDT3mOz6ehqiplZVU4HL7TPrbRaCAszE55uQOfr2l9/wQCOf/6kzbQX6C2QViYvda/eDdoMImLi2Px4sUnbXO73ZSWlp5Rx9ffCx1NeajtiTDSnEPJrx07dozZs19h/PibuPTSKwgPj/jD/esrkPp8apMLtoFEzr/+pA301xhtoLkdqJUlaFWlaFWlqJWlaI4yTK27YmrTo0GP/UcaNJj069eP6dOnc/jwYdq2bQvA2rVrAejdu3dDHloEgMrKCjRNo1+/AcTFxf/5E4QQQgCgqSpaVQnqsaNoFUXH/z6KWlGMVlmMWlECHsdvPtd3ZFvgBBOfz0dxcTGhoaHYbDbS0tLo3bs3//znP3nssceoqqpiypQpXHbZZfU+VPiPaJqG26Nf+reYDXUeOVJSUsKLLz7H2rU/YTQaufDCS9mzZxdpab2YMOFWPvjgHb79dj45OdlYLBbS0npx993306pVAgBDhvTl4YenMGbMxTWv+b+3SXw+H7Nnv8Lixd9TUlJMfHwr/vKXcVx22djjxy/m+eefZfPmDTgcTlJSUrj11n/Qq1efWtW/YMHXzJnzKrfc8jfeeGM2x44do2/f/tx774O0bBkNQEVFBS++OI1Vq5ZjMpm54Yaba56/adMGJk36GwCTJv2NuLh4Pv306zqdQyGECGSaqlaHjdJc1LI81LIC1GOFqOUFaMeOglqLZVksdgxBEShBLVCCwlGCwjG379vwxf+Beg0mubm5jBo1iqeffporrrgCRVF4+eWXefzxx7nxxhuxWq01M782Fk3TePrdTRzILmu0Y/5ah9YteOi63rUOJ6qq8sADd+Pz+Zg+fSZms4WXXnqBrVs3k5bWi48/fp95895k8uTH6dChIzk52Tz33FO89NIMnn56eq2O8cUXn7Bs2RIef/w/REfHsHr1CqZPf4Z27TqQltaT6dOfxu1289JLr2OxWJg3by4PPXQvX3zxHXZ77TpllZQU88EH7zJlylNYLGamT3+Ge+65g7lz38NkMvHoo/8iPz+PZ5+dQVBQEC+//CJ5edWjtbp3T2POnLeZOPFGnnrqOXr06FWrYwohRKDRfB7U0jzUkuzjf3Kqw0h5wR+HD4MRJTgSQ2hLDKEtUUJaYgiJRAmORAmJwBAciWI+8wED9e2Mgskzzzxz0v9bt27N3r17T9oWFRXFzJkzz+QwZ66JjSLesmUTu3fv5P33PyUxMQmAJ598hiuvrL76kZDQhsmTH2PIkLMBiIuLZ8SIc1iyZFGtj5GdnY3dbqNVqwSiolpy5ZVXk5iYRGJiYs3jycnJJCS0xmq1ctdd9zJ69Pl1mlnV6/Xy738/QUpKKgCPPvok1103lo0b1xMfH8+6dT/z4ouzSEurDh1Tpkxl7Njqr9FsNtf0KQkNDSMi4o/7lwghRCBQq8qoKt6HM2MfnsJM1OJM1NI80H7nqr/RjKFFLIYWcRjCYlDCYjAc/6MER6I0wdmwA24Rv19TFIWHruvdpG7l7N27h9DQsJpQAhAREUliYnU/nSFDzmbnzh288cZsjhzJ5PDhQxw8mE50dEytj3HFFVexYsUyLr98DCkpnenffyAjR44mIiISgJtvnsiTT/6b5cuXkZbWmwEDBjJy5LlYrbWfVTcoKLgmlAC0bZtESEgo6ekHqKqqBKBz5y41j0dGRtXcihJCiECnOo+hFhzEdzQDtTAD39EMtMoSfvP6vsWOISIBY0QChohWGCISMLSIQwmJRFGaXvj4IwEfTKA6nFgtRr3LqDWj0Yj2e+kYeO+9t3njjdcZM+ZievXqw9ix17Bq1XIWL/7+pP20Xw3x8Xp/ueTXpk0iH330JZs3b2D9+rWsXPkj8+bN5eGHp3DBBRcxbNgI+vRZyNq1a9iwYR3vvTePOXNeY/bsN2nfPpnaMJl+69tLO2nImKqeXKPR2Cy+JYUQzYymqqglWfjyD+DLT8dXcACtLP839lQwR8VDeGuUyDYYo9pgiExECY5oNrNcy08BP9ShQ0cqKio4fDiDtm2TACgvLyMrKxOAt9+ey4QJExk//qaa53zwwbyTgojJZKKysqLm/5WVFZSUFNf8/5NPPiQiIoJzzjmPfv0Gcvvtd3H33bezZMkiRo06l9mzX+a888YwatS5jBp1Lk6nk0svPY+fflpV62BSXl5GdnYWCQmtATh4MJ2Kigo6dUolJqa68/P27Vs566whQPXw4OzsI3U/YUII4Wc01YtamIE3dx++vL348vaD+9Q5uJQWcRij22GMTsLQMglrbBKRsS0pKalstkO2JZj4od69+9K1a3eefPJR7r77fqxWK6+99jJOpxNFUYiJiWX9+rUMHnw2RqOBhQsXsHz5MiIjo2peo3v3NL766nPS0npjNpuYM+fVk65gFBcX8dZbc7DZbHTo0ImMjEPs37+Xq64ah8ViYdeuHWzduoW7776fqKgo1qxZRVVVFd261W0IWfXXcB8+n8rzzz9Nt2496NmzuiPwiBHnMGPGc5jNZqKionjttVfweDz1dh6FEKKxaJpWfUUkexfe7F34cveCx3nyTmYbxphkjLEdqv+OaY9iCzlpF6WJzlpenySY+KmnnnqO559/lrvv/jtWq5XLL7+KjIyDmM1m/v3vJ3jhhWe55ZbrCQoKpmvXbtx330M8//wz5ObmEB/fqub/f//7BMLDI7jmmuuoqvplzPqJIcMvvPAcJSXFREZGcfnlV3H99dVDdp988llmznyBf/3rHiorK0hMTGLKlKk1HVVra/To87jvvrvwej0MHnw2d911X83lyMmTH+OVV/7LlCkPo6oql156BaWlJfV3EoUQogFprkq8WTvwHtmG78gONMfJvUMUawjG+BSMcZ0wxqdgiGqDYmg63Qr0omi/7ojg53w+leLiyt98zONxU1SUS1RUPGbzqWv0+DuTyYDXq1JaWsrOndsZMGBQzVUOj8fDmDGjuPfeBzn//At1rvTPLVjwNf/5z+OsWrWhwY9VX+1uMhmIiAhu1pdQ9STnX3/SBn/OV5qDN2MT3sNbUAvST56u22TBGJ+CqVUXjAldqoNIHTumBmobREYG+8eU9OL0GI1Gpkx5iEsvvZLLLx+Lx+Phgw/ewWIxM3DgYL3LE0KIZkPTVNSCg3gzNuHJ2IRWlnfS44aIBIxtumNq0wNjXEcUo1mnSgOHBBM/FBoaynPPvcicObOYP/8LFEWhR480Zs6cTXh4uK61HT1ayLhxV/zhPp06pXLhhZc0UkVCCFG/NE1DLUjHc3A93oPr0Sp/GTiAwYQxoTOmtr0wJaZhCIn6/RcSp0Vu5fiRE7dy/JnP5yM3N+cP97FYLDWjbhqD3MoJDHL+9dfc28BXnIV3/xo86WvRKop+ecBsw5TYE1NSb0xtuqNYajf79ekI1DaQWzmiwRiNRlq3bqN3GUIIUS/UqjK8B37Gs38NatHhXx4wWauviiT3x9S6G4qp6f2y21RJMBFCCNGsaKoP35HtePYsx5u59Zfp3hUjpsQemDqehSkxTcKITiSYCCGEaBbUY0fx7F2BZ+9KtMpfpiYwxLTH3PEsTMkDMNhCdaxQgAQTIYQQAUzTNHw5u/HsXIz38Oaa4b2KNQRTp8GYU8/GGCFrdPkTCSZCCCECjuZx4dm3Cs/OJailv3TYN7bqjDl1GKZ2fWRor5+SYCKEECJgqFVleHYuxr1rKbiOj+A0WTF3Goy56zkYI1rpW6D4UxJMhBBCNHlqaS7ubd/h2b8GfNUrqSthMVi6jcbcaTCKJUjnCkVtSTARfuOOO24lPr4VjzzyGADfffcNs2e/Qnl5GX//+ySuuuoafQsUQvgdX9ER3Jvn4z24AajuP2KIScaSdgGmtr1RDLIoXlMjwUT4rf/+93mGDDmbW275GyEh0lNeCPELX2FGdSDJ2FSzzdS2F+a0CzDGdqxZLFQ0PRJMhN+qqDhGr159iIuL17sUIYSf8BUdwbX+M3yZW45vUTC174el18UYo2Tyx0DQLIKJpmngdetXgMlS5/ReUlLCiy8+x9q1P2E0GrnwwkvZs2cXaWm9mDDhVj744B2+/XY+OTnZWCwW0tJ6cffd99OqVfWwtyFD+vLww1MYM+bimtccO/ZiLrjgIv7619vw+XzMnv0Kixd/T0lJMfHxrfjLX8Zx2WVjjx+/mOeff5bNmzfgcDhJSUnh1lv/Qa9efWr9NezZs5vXXnuJnTu3Y7PZGTp0GHfeeQ92ux23281rr73EokUL8Xo9XHbZWE6sjpCbm8NVV1WvtfP000/w9NNPNMoqxUII/6WW5eHa8CXe9LWABoqCKXlgdSCRDq0BJeCDiaZpVM1/CjX/gG41GGM7Yr/k4VqHE1VVeeCBu/H5fEyfPhOz2cJLL73A1q2bSUvrxccfv8+8eW8yefLjdOjQkZycbJ577ileemkGTz89vVbH+OKLT1i2bAmPP/4foqNjWL16BdOnP0O7dh1IS+vJ9OlP43a7eeml17FYLMybN5eHHrqXL774Drv9z9eJyM3N4c47b2XIkGHMnv0mlZWVPPXU40yb9h8effRJXnxxGqtXr+SRR6YQGxvPvHlz2bp1M61aJRATE8tXXy3k0kvPZ9Kkexk1anStviYhROBRK0twb/wSz96VNTO0mtr3x9r3cgzhcjU1EAV8MAFQaFr3Grds2cTu3Tt5//1PSUxMAuDJJ5/hyiurr34kJLRh8uTHGDLkbADi4uIZMeIclixZVOtjZGdnY7fbaNUqgaiollx55dUkJiaRmJhY83hycjIJCa2xWq3cdde9jB59PoZadiSbP/8LQkPDeOSRxzCZqr/N/vWvyWzZsomqqkq+++4b7r33QQYNGgLAQw89yubN1VdFjEYjUVEtAQgJCan5txCi+dA8LtzbvsO9dUHNFW9jYhrWvldgbNlW5+pEQwr4YKIoCvZLHm5St3L27t1DaGhYTSgBiIiIJDGx+s04ZMjZ7Ny5gzfemM2RI5kcPnyIgwfTiY6OqfUxrrjiKlasWMbll48hJaUz/fsPZOTI0URERAJw880TefLJf7N8+TLS0nozYMBARo48F6vVWqvXT0/fT0pK55pQAtCzZ2969uzNnj278Hg8pKZ2rXnMarXSsWNKresXQgQmTVXx7luFa8PnaFWlABhiO2AdcDWmuI76FicaRcAHE6gOJ5hr9wPVHxiNRjTt95e7fu+9t3njjdcZM+ZievXqw9ix17Bq1XIWL/7+pP1O9Nk4wev11vy7TZtEPvroSzZv3sD69WtZufJH5s2by8MPT+GCCy5i2LAR9OmzkLVr17Bhwzree28ec+a8xuzZb9K+fXItvgbTn4axX9f3vyFGCNH8+PL241z9bs0qv0poNNYBV2Fq109G2TQjMsDbD3Xo0JGKigoOH86o2VZeXkZWViYAb789lwkTJnLfff/i0kuvoFu37hw5cvikH/Qmk4nKyoqa/1dWVlBSUlzz/08++ZAff1xCv34Duf32u5g37yP69OnHkiWLjvcteYGcnCxGjTqXBx+czEcffYnBoPDTT6tq9TUkJbVj3749+Hy+mm3Ll1dfoWnbth0Wi5Vt27bUPOb1etm/f19dT5UQIgCoVaU4ls2p7g9YdBgsdqwDryb4L//B3L6/hJJmRn5F9UO9e/ela9fuPPnko9x99/1YrVZee+1lnE4niqIQExPL+vVrGTz4bIxGAwsXLmD58mVERkbVvEb37ml89dXnpKX1xmw2MWfOqyddkSguLuKtt+Zgs9no0KETGRmH2L9/L1ddNQ6LxcKuXTvYunULd999P1FRUaxZs4qqqiq6detRq6/hyiv/wqeffsT06U9z9dXXUVZWyquvvkS/fgOw2+2MHfsX5s6dTcuWLUlKas8HH7zD0aOF9X4uhRD+S1N9eHYsxrXxC/A4ATCnnI2l/1gM9jCdqxN6kWDip5566jmef/5Z7r7771itVi6//CoyMg5iNpv597+f4IUXnuWWW64nKCiYrl27cd99D/H888+Qm5tDfHyrmv///e8TCA+P4JprrqOqylHz+ieGDL/wwnOUlBQTGRnF5ZdfxfXX3wzAk08+y8yZL/Cvf91DZWUFiYlJTJkylbS0XrWqv2XLaGbMeJlXX32JCRPGExoawqhR53Lbbf8A4Lbb7sBisfLCC89SVVXFyJGjGTz47Po/kUIIv+QrPIRzxZuoRdVXgg3R7bANvh5jTHudKxN6U7Rf3+j3cz6fSnFx5W8+5vG4KSrKJSoqHrPZ0siVnTmTyYDXq1JaWsrOndsZMGBQzVUOj8fDmDGjuPfeBzn//At1rtS/1Fe7m0wGIiKCKSmpxOv9/T4+omHI+ddfY7SB5nHiWv85np0/gKaBNRhr/6swp56NokjvgkB9H0RGBmM01q595YqJHzIajUyZ8hCXXnoll18+Fo/HwwcfvIPFYmbgwMF6lyeEEKfFm7kV58q30Sqr+7uZOgzEOuhauW0jTiLBxA+Fhoby3HMvMmfOLObP/wJFUejRI42ZM2cTHh6ua21HjxYybtwVf7hPp06pvPLKnEaqSAjh7zRXJc6f3se7bzVQPdrGNuQGTG2661yZ8EcSTPxU7959efXVuXqXcYqIiEjefPP9P9zHYml6t9GEEA3Dm7kV54o3j89JomDufi7WvlegNKEpHETjkmAi6sRoNNK6tSyUJYT4Y5q7CueaD/DuWwmA0iIW+7BbMMokaeJPBGQwaWL9ecUZkvYWwr948/bhXDobraKImqsk/a5AMclVEvHnAiqYGI1GANxuFxaLvAGaC7fbBVTPNiuE0I+menFv/Ar3lm9A06r7koyYiCmuk96liSYkoD7JDQYjdnsIFRUlAFgs1iY1Y6CqKvh88tt/bWmahtvtoqKiBLs9pNYLDAoh6p9alodj6WzUwkMAmDoNxnbWeBTLn69GLsT/CqhgAhAWVr0I3Ylw0pQYDAZUNXDGrTcWuz2kpt2FEI3Ps38NzpVvg9cF1mBsQ2/E3L6/3mWJJirggomiKLRoEUVoaAQ+n/fPn+AnjEaFFi2CKCurkqsmdWA0muRKiRA60bwuXKvfw7N3BQDG+FRsI27FECK/KIjTF3DB5ASDwYDB0HSGrZpMBmw2Gw6HL6Bm+xNCBCZfSQ7OxbNQS7IABUvvS7D0vhRFflEQZyhgg4kQQoiG4TnwE84Vb4LXjWIPwzbyb5gSuuhdlggQEkyEEELUiqZ6cf38EZ4dPwBgTOhSfesmKFzfwkRAkWAihBDiT6lVpTgXz8KXtw8AS6+LsfS5XG7diHonwUQIIcQf8uXtx7H4lepp5c127CNuxZTUS++yRICSYCKEEOJ3ufcsx7VqHqg+DBEJ2EffiSE8Tu+yRACTYCKEEOIUmurD9fOHNf1JTO36Yht+C4rZpnNlItBJMBFCCHES1VWJ4/tX8GXtAMDS93IsvS5pUjNpi6ZLgokQQoganuIcjn32FGppHpgs2IZPxNy+n95liWZEgokQQggAPDl7yf7+v6iOCpTgSOzn3YWxZVu9yxLNjAQTIYQQeA78jPPH/wPVizGmPbZzJ8n8JEIXEkyEEKIZ0zQN99Zvca/7FICglAFYzr4Fn2LWuTLRXEkwEUKIZkpTfbhWzcOzZzkA1rTziB3zV0rLnCBrdgmdSDARQohmSPO6cCyehS9zKygK1kHXEdTzXBSDUe/SRDMnwUQIIZoZzVmB4/v/4svfD0Yz9lG3y0yuwm9IMBFCiGZErSjG8d101JIcsARhP/9uTHGd9C5LiBoSTIQQopnwleTgWDAdrbIYJSgc+5j7MEa21rssIU4iwUQIIZoB39EMHAueR3Mew9AiDvuY+zCEttS7LCFOIcFECCECnDdvP47vXgCPA0N0O+wX3IPBFqp3WUL8JkNdn6CqKjNnzmTo0KGkpaUxYcIEDh8+/Lv7FxYWcs899zBgwAAGDBjAXXfdRV5e3hkVLYQQona8WTtwLJgGHgfGuE4EXfiAhBLh1+ocTGbNmsWHH37I1KlT+eijj1AUhYkTJ+J2u39z/3/+85/k5uby5ptv8uabb5KXl8ftt99+xoULIYT4Y56MjTgWvgheN8bW3bCPuRfFYte7LCH+UJ2CidvtZu7cudx5550MGzaM1NRUZsyYQX5+Pj/88MMp+5eXl7N+/XomTpxIly5d6NKlC7feeis7d+6kpKSk3r4IIYQQJ/Okr8X5wyugejG164v9vLtQTFa9yxLiT9UpmOzZs4fKykoGDhxYsy0sLIwuXbqwfv36U/a3Wq0EBQXx5ZdfUlFRQUVFBV999RVJSUm0aNHizKsXQghxCs+Bn3AufQ00FVPHs7CN+juKUaaYF01DnTq/nugbEh8ff9L2mJgYcnNzT9nfarXy1FNP8cQTT9C3b18URSE6Opp3330Xg6HOd5GEEEL8Cc++1TiX/x9oGuaUoViH3owin7eiCalTMHE4HABYLJaTtlutVsrKyk7ZX9M09u7dS69evbjlllvw+XzMmDGDf/zjH3zwwQeEhIScXtGmwHuTGY2Gk/4WjU/aQF9y/s+ca8/K6hWC0bB0GU7QsJtQlNqfT2kD/Ukb1DGY2Gw2oLqvyYl/A7hcLuz2UztUffvtt7z//vssW7asJoS89tprjBgxgs8++4wbb7yxzgUbDAoREcF1fl5TERYmHdP0Jm2gLzn/p6d8yxKqllaHktDe59Ly/Il1CiX/S9pAf825DeoUTE7cwikoKCAxMbFme0FBAampqafsv3HjRtq1a3fSlZEWLVrQrl07MjIyTqtgVdUoL686ref6M6PRQFiYnfJyBz6frOqpB2kDfcn5P32uPStrQom12zkYB1xHaamjzq8jbaC/QG2DsDB7ra8C1SmYpKamEhISwtq1a2uCSXl5Obt27WL8+PGn7B8fH8+CBQtwuVxYrdW9wR0OB1lZWVx88cV1OfRJvAG8HLfPpwb019cUSBvoS85/3XgO/IxzWXUoMXcZiXnQdfh8GqCd9mtKG+ivObdBna7zWSwWxo8fz/Tp01myZAl79uzhn//8J3FxcYwePRqfz0dhYSFOpxOAyy67DIC7776bPXv21OxvsVi44oor6v2LEUKI5sRzcD3OZa9Xd3RNHYZ18HgURdG7LCHOSJ1vQE6aNImxY8cyefJkxo0bh9Fo5I033sBisZCbm8uQIUNYsGABUD1a5/3330fTNG688UZuvvlmzGYzH3zwAWFhYfX+xQghRHPhzdiMc8nxIcGdhmAdeuNp9ykRwp8omqad/vU+Hfh8KsXFlXqXUe9MJgMREcGUlFQ228t3epM20Jec/9rzHtmO4/sXQfVh6jAQ2/Bb62VIsLSB/gK1DSIjg2vdx0TitRBCNCHe3L04Fr1UHUra9cU2fKLMUyICinw3CyFEE+E7mlG99o3PjbFND2wj/4ZiMOpdlhD1SoKJEEI0Ab6SHBwLnq9eJTg+BfvoO1CMdRpYKUSTIMFECCH8nHqsEMeCaWjOYxii22E/724Uk+XPnyhEEyTBRAgh/JhaVUbVt9PQKkswRLQi6IJ7USzNd1ZQEfgkmAghhJ/S3A4c372AVl6AEhqNfcz9KLbTW2NMiKZCgokQQvghzefBsWgmatFhFFsoQWPuwxAcoXdZQjQ4CSZCCOFnNFXFuex1fDm7wWzDfsG9GFrE6l2WEI1CgokQQvgRTdNwrXkP78H1YDBhP3cSxugkvcsSotFIMBFCCD/i3vw1nl1LAAXbiFsxJXTRuyQhGpUEEyGE8BOefatxb/gcAOtZ12FO7q9zRUI0PgkmQgjhB7xZO3EunwuAJW0Mlm7n6FyREPqQYCKEEDrzFWXi+OEl0HyYkgdi6T9W75KE0I0EEyGE0JFaUYTjuxfA48QYn4pt+F9RFPloFs2XfPcLIYRONHcVju9moFWVYohohf3cO1GMZr3LEkJXEkyEEEIHmurDsXgWakkWSlA49gvuRbEG612WELqTYCKEEI1M0zRcq9/Fl7UDTBbs592NISRK77KE8AsSTIQQopF5ti/Cs3sZoGAb+TeZQE2I/yHBRAghGpEnYxOunz8EwDrwasxJvXWuSAj/IsFECCEaie9oBs6lrwEa5s4jMHc/T++ShPA7EkyEEKIRqJUlOBa+CF43xtbdsA6+DkVR9C5LCL8jwUQIIRqY5nXjWDSzelhweCvs59yOYjDpXZYQfkmCiRBCNCBN03AufwO18BBYg7GffzeKJUjvsoTwWxJMhBCiAbk3f403fS0oRuyj78AQFqN3SUL4NQkmQgjRQDyHNvyyWvCQ6zG16qxzRUL4PwkmQgjRAHxFmTiXvQ6Aues5WDoP17cgIZoICSZCCFHPVOcxHN//t3oETkJXrIPG6V2SEE2GBBMhhKhHmurFuXgWWkURSljM8RE4Rr3LEqLJkGAihBD1yPXTh/hydoPZhv3cu2RhPiHqSIKJEELUE8/elXh2LgbANmIixsgEnSsSoumRYCKEEPXAl38A58q3AbD0uQxzUh+dKxKiaZJgIoQQZ0itKsXxw8ugejEl9cbS+xK9SxKiyZJgIoQQZ6Cms2tVKYaIVtiGT0RR5KNViNMl7x4hhDgDrp8+xJe3D8x27KMnoVjsepckRJMmwUQIIU6TZ9/qms6u9hG3YgiP07kiIZo+CSZCCHEafEcP41z5FgCW3pdgSuqlb0FCBAgJJkIIUUeaswLHDy+Bz4OxTQ8sfS7TuyQhAoYEEyGEqANNU3Esm4127Gj1zK4jb5POrkLUI3k3CSFEHbg3zcd3ZDsYLdhH3ykzuwpRzySYCCFELXmPbMO98SsAbENvxBjVRueKhAg8EkyEEKIW1GOFOJbOBjTMnUdg7jRY75KECEgSTIQQ4k9oXjeOH14BVyWG6HZYz7pW75KECFgSTIQQ4k+41ryPejQDxRqCffQdKEaz3iUJEbAkmAghxB/w7FuNZ8+PgIJt5G0YQqL0LkmIgCbBRAghfoevOBvnquMrBve+BFOb7jpXJETgk2AihBC/QfM4cS5+BbxujAldsfS+VO+ShGgWJJgIIcSvaJqGc+XbqKU5KEHh2EbehmKQj0shGoO804QQ4lc8u3/Ee+AnUAzYzrkdgz1M75KEaDYkmAghxP/wHT2M66f3ALD2H4sprpPOFQnRvEgwEUKI4zS3A8fiV8DnxZjYE3OP8/UuSYhmR4KJEEJwvF/JijfRygtQQqKwD79FFucTQgfyrhNCCMCzexneg+tAMWIf9XcUW4jeJQnRLEkwEUI0e9X9St4HwDpgLMbYDjpXJETzJcFECNGsaW4HjiWzjvcrScPcXfqVCKEnCSZCiGbrxHwlWlk+SnAk9uETURRF77KEaNYkmAghmi3P3hV4038GxSD9SoTwExJMhBDNkq84G9fq6vlKLP2uxBjXUeeKhBBwGsFEVVVmzpzJ0KFDSUtLY8KECRw+fPh39/d4PDz//PMMHTqUnj17Mn78eHbv3n1GRQshxJnQvC6cS2aBz42xdTcsaRfoXZIQ4rg6B5NZs2bx4YcfMnXqVD766CMURWHixIm43e7f3P+xxx7j008/5cknn+Szzz4jPDyciRMncuzYsTMuXgghTodrzfuoJdko9hbYhk+U+UqE8CN1eje63W7mzp3LnXfeybBhw0hNTWXGjBnk5+fzww8/nLL/kSNH+PTTT3n66acZPnw4ycnJ/Oc//8FisbBjx456+yKEEKK2POlr8exZDijYRt6GIaiF3iUJIf5HnYLJnj17qKysZODAgTXbwsLC6NKlC+vXrz9l/1WrVhEWFsbZZ5990v5Lly5l0KBBZ1C2EELUnVpegHPFmwBYel2EKaGLzhUJIX7NVJed8/LyAIiPjz9pe0xMDLm5uafsn5GRQZs2bVi0aBGvv/46+fn5dOnShX/9618kJyefftGmwLvsajQaTvpbND5pA3019PnXfF6qlr4GHifGuI4EDbgCxSBt/b/kPaA/aYM6BhOHwwGAxWI5abvVaqWsrOyU/SsqKsjMzGTWrFk88MADhIWF8eqrr3LttdeyYMECoqKi6lywwaAQERFc5+c1FWFhdr1LaPakDfTVUOe/aOk7+AoOYrCFkDD2XkwtwhrkOIFA3gP6a85tUKdgYrPZgOq+Jif+DeByubDbTz2JZrOZY8eOMWPGjJorJDNmzGDYsGF88cUX3HLLLXUuWFU1ysur6vw8f2c0GggLs1Ne7sDnU/Uup1mSNtBXQ55/T+Z2Kn76EgD78AkcU4OgpLJejxEI5D2gv0Btg7Awe62vAtUpmJy4hVNQUEBiYmLN9oKCAlJTU0/ZPy4uDpPJdNJtG5vNRps2bcjKyqrLoU/i9QZOY/2az6cG9NfXFEgb6Ku+z79aVUbVktkAmLuMxJDYW9r3T8h7QH/NuQ3qdBMrNTWVkJAQ1q5dW7OtvLycXbt20bdv31P279u3L16vl+3bt9dsczqdHDlyhLZt255B2UII8ec0TcX54xw0RzmGiNZYB16jd0lCiD9RpysmFouF8ePHM336dCIjI0lISGDatGnExcUxevRofD4fxcXFhIaGYrPZ6Nu3L2eddRYPPvggTzzxBOHh4cycOROj0cill17aUF+TEEIA4Nn+Pb6sHWA0Yxv1dxST5c+fJITQVZ27/U6aNImxY8cyefJkxo0bh9Fo5I033sBisZCbm8uQIUNYsGBBzf4vvfQS/fv354477mDs2LFUVFQwb948IiMj6/ULEUKI/+UrzMC17lMArIOuxRiZoHNFQojaUDRN0/Quoi58PpXi4sDrtGYyGYiICKakpLLZ3lfUm7SBvurz/GseJ5WfT0Ery8eU1Afb6Dtk1eBakPeA/gK1DSIjg2vd+bX5DpQWQgQs5+r30MryUYIjsZ19s4QSIZoQCSZCiIDiSV+Ld99KTkw5r9hC9C5JCFEHEkyEEAFDPVaIc8VbwPEp5+NT9C1ICFFnEkyEEAFBU304ls4GjwNDbAcsfS7TuyQhxGmQYCKECAjuTfNR8w+A2Y595G0oBqPeJQkhToMEEyFEk+fN24d783wAbENvxBAarXNFQojTJcFECNGkaa5KnEtng6Zh6jgYc4eBepckhDgDEkyEEE2Wpmk4V72DVlGEEhqNbfB4vUsSQpwhCSZCiCbLu38N3vSfQTFgH/U3FEvzXSpeiEAhwUQI0SSp5QU4V78DgKXPZRhjkv/kGUKIpkCCiRCiydFUL46lr4HHiTE+BUvPi/QuSQhRTySYCCGaHPem+agFB8EShG3ErSgG+SgTIlDIu1kI0aRUDw3+Gjg+NDgkSueKhBD1SYKJEKLJOGlocKfBmJMH6F2SEKKeSTARQjQZztX/MzT4LBkaLEQgkmAihGgSPPvX4D1wfGjwyNtkaLAQAUqCiRDC76nlhThXzQPA0udSjLEddK5ICNFQJJgIIfyapvpwLJtdPTQ4tqMMDRYiwEkwEUL4Nffmb2pWDa4eGiyrBgsRyCSYCCH8li//AO5NXwFgG3I9hjBZNViIQCfBRAjhlzS3A8fS2aCpmJIHYu54lt4lCSEagQQTIYRfcq55H+1YIUpIFLYh1+tdjhCikUgwEUL4Hc/BdXj3rQSU6n4l1mC9SxJCNBIJJkIIv6JWFONc+TYAlp4XYopP0bkiIURjkmAihPAbmqZSueR1cFViiG6Hpe9lepckhGhkEkyEEH6jbO3XeLN3gcmCfcRtKAaT3iUJIRqZvOuFEH7BW5jBsWXvA2AddC2G8DidKxJC6EGCiRBCd5rXRdXi10D1Ym7XB3PqML1LEkLoRG7lCCF05/r5Y9SSHIwhEQQNn4CiKHqXJITQiQQTIYSuvJlb8OxaAkD0xXdgsIfqXJEQQk8STIQQulGrynAunwuAtcd5BLXvqW9BQgjdSTARQuhC0zScy99Ac5RjiGyNfeBVepckhPADEkyEELrw7FqK78g2MJqwjfwbismid0lCCD8gwUQI0eh8Jdm4fv4QAOuAqzFGtta5IiGEv5BgIoRoVJrPg3Ppa+DzYGzTHXPXc/QuSQjhRySYCCEalWv9Z6hFR1BsodiG/VWGBgshTiLBRAjRaLzZu/BsWwiA7ewJGILC9S1ICOF3JJgIIRqF5qzAuex1AMydh2NK6qVzRUIIfyTBRAjR4DRNw7niTbSqUgwt4rAOHKd3SUIIPyXBRAjR4Dx7V+DN2AgGI7ZRf0MxW/UuSQjhpySYCCEalFqah2vNewBY+12JsWWSvgUJIfyaBBMhRIPRVC+OZbPB68bYqjPmHufrXZIQws9JMBFCNBj3hi9RCw+BNRjb8IkoinzkCCH+mHxKCCEahDdnN+4t3wJgG3oThpBInSsSQjQFEkyEEPWuemjwHEDDnDIUc/t+epckhGgiJJgIIeqVpmk4V76FVlmM0iIW61nX6V2SEKIJkWAihKhXnr0r8B7aAIoR+8i/oZhtepckhGhCJJgIIerN/w4NtvS7AmN0O50rEkI0NRJMhBD1QvN5cSx9rWZosCXtAr1LEkI0QRJMhBD1wr3hc9SjGTI0WAhxRuSTQwhxxrxZO3FvXQAcXzVYhgYLIU6TBBMhxBlRHeU4f5wDVK8abG7XR+eKhBBNmQQTIcRp0zQN5/K51asGh7fCOkhWDRZCnBkJJkKI0+bZtQRf5hYwmKpXDTbJqsFCiDMjwUQIcVp8xUdw/fwhANaBV2OMStS5IiFEIJBgIoSoM83rxrnkNfB5MbbpgbnrOXqXJIQIEBJMhBB15vrpA9SSbBR7GLbht6Aoit4lCSECRJ2DiaqqzJw5k6FDh5KWlsaECRM4fPhwrZ779ddfk5KSQlZWVp0LFUL4B8+hDXh2LwPANuJWDPYwnSsSQgSSOgeTWbNm8eGHHzJ16lQ++ugjFEVh4sSJuN3uP3xednY2jz/++GkXKoTQn1pRhHP5XAAsaWMwte6mc0VCiEBTp2DidruZO3cud955J8OGDSM1NZUZM2aQn5/PDz/88LvPU1WV+++/n65du55xwUIIfWiqD+fS2eCuwhDdHku/K/QuSQgRgOoUTPbs2UNlZSUDBw6s2RYWFkaXLl1Yv3797z7vtddew+PxcNttt51+pUIIXbk3zceXtw/MNuyj/oZiMOldkhAiANXpkyUvLw+A+Pj4k7bHxMSQm5v7m8/Ztm0bc+fO5dNPPyU/P/80yzyZyRR4fXaNRsNJf4vGJ23w+zw5e3Bvng9A8PCbsUTG1ep5mqZR6fRSUOKgsLT6z9FSB8ccHiodXqqcHiqdXtweHwCKQUFTNQCsFiPBNjPBNhNBdjOhdjPR4XaiI+zEhNuJDrcTZJNwVJ/kPaA/aYM6BhOHwwGAxWI5abvVaqWsrOyU/auqqrjvvvu47777SEpKqpdgYjAoREQEn/Hr+KuwMLveJTR70gYn81WVk7XkNdA0QnqMIKb/bw8N1jSNghIHB7JKSc8qJT2rjPTsUsoq/rj/2e+qBHD84S5RLWwkJ4ST3LoFHVpX/x3VQtrvTMl7QH/NuQ3qFExsNhtQ3dfkxL8BXC4XdvupJ3Hq1KkkJSVxzTXXnGGZv1BVjfLyqnp7PX9hNBoIC7NTXu7A51P1LqdZkjY4laZpVC74L75jxRjC4zENGEdJSWXN4yXHXOw6VMyujGJ2ZZRQVO78zdcJD7FUX+04/ic02Hz8akj1FRGrxYjRaCA42EplpQufT8Xh8h2/olJ9VaW80l1z1aWgxMGxKg9FZU6KyvJYtyuv5lixkUF0TYqgS1IknZMiCA2y/GZN4lTyHtBfoLZBWJi91leB6hRMTtzCKSgoIDHxl1keCwoKSE1NPWX/zz77DIvFQq9evQDw+aov11500UVccsklPPHEE3U5fA2vN3Aa69d8PjWgv76mQNrgF+7t3+M5vAWMJmyj/o4XM0eyy9i4t5BN+wrJPlp50v5Gg0Lr6BDaxoXQNi6MpLhQWrUMxmo2/umxTCYDERHBlJRU1ur8O1xesgoryMg7RmbeMTLyj5FztJL84iryi6tYuikbgKS4UPqkRNMnJYa4yKDTOg/NjbwH9Nec26BOwSQ1NZWQkBDWrl1bE0zKy8vZtWsX48ePP2X/RYsWnfT/rVu3cv/99/P666+TnJx8BmULIRqar/AQrrUfA1DV9XK+2+Zm496fKCz95aqIArSNC6Vz2wg6J0XQsXV4rUJIfbBbTXRsHU7H1uE126qcXvYeKWF3Rgm7M0vILqwkI+8YGXnH+Gz5QRKig+nTKZpBXeOIlZAihF+qUzCxWCyMHz+e6dOnExkZSUJCAtOmTSMuLo7Ro0fj8/koLi4mNDQUm81G27ZtT3r+ic6zrVq1Iioqqv6+CiFEvdLcDqoWzwLVxz4lmVd+tAGZAJhNBrq1i6RPSjQ9klsSYjfrW+z/CLKZ6NUxml4dowEorXCx5cBRNu4tZM/h6qCSXVjJ/NUZdGrdgiE9WtE3NRqbRTrRCuEv6vxunDRpEl6vl8mTJ+N0OunXrx9vvPEGFouFrKwsRo0axdNPP80VV8gcB0I0RenZpVQteY0kZyFFvmDmlvfFaDDQq2NL+neOpXv7KKyWxrkqcqbCQ6wM75nA8J4JVDo9bD1wlLW7CthxqIh9WWXsyyrjvcX7GNA5lnP6tqZ1dIjeJQvR7Cmapml6F1EXPp9KcXHln+/YxNT1/rqof825Dbw+lU37Cvlh/RFiijZwTfDP+DSFD02Xk5zWi4FdYhu8E2ljnv+SYy7W7Mhl5bZcCkp+GfnTNSmC0f3a0K19FIZmuP5Pc34P+ItAbYPIyOCG6fwqhAgsLo+P5Zuz+X79EUqOuWhlLOHKsOrJEl1dLuZvQy/RucKGERFq5cJBSYwZ2JZ9R0pZsjGLjfsK2ZlRws6MEuIigzh/QCJndYvD1IznkxBCDxJMhGiGXG4fyzZns3DtYcqrPABEBcEdYWswu30Y2/QgZshl+hbZCBRFISUxgpTECI6WOli8MYuV23LIK67ire/28M2aDMYMasuQ7vESUIRoJBJMhGhGXB4fSzdm8d3aTCoc1YGkZQsbFw5MpG/xN6jpRSjBEdhGTERRmtcP4pbhdq4Z1ZFLh7Rj+ZYcFq7L5GiZk3kL9/LNmgwuHJTE0B4SUIRoaBJMhGgGVFVj9fZcvlh5kNLjM7HGhNu58Ky2DOoah7p/Ja70n0ExYBv1dwy2UJ0r1o/dauL8AYmM6J3Aii05LFh7mOJyF+98v5dF6zK5clgyfVKiUZphHxQhGoMEEyECmKZpbEsv4tMf02smQ4sKs3HZ0HYM7BqL0WDAV3wE1+p3AbD0uwJTXCc9S/YbVrOR0f3aMKxnK1ZszeGbNRnklziY9eUOkhPCuGp4Bzq1Cde7TCECjgQTIQJU9tFK3v9hH7sPlwAQbDNx0VlJjOzdGvPxhTA1twPnD6+Az4OxTXcsaWP0LNkvWcxGzunbhsHd41m4NpPv12eSnl3OM+9tok9KNFeP7EBLWZ9HiHojwUSIAONweflq1SGWbMzCp2qYjAZG923NmEFtCbb9Mhmapmk4V76FWpZX3a9kePPrV1IXdquJy89uz4jeCXy16hArtuawcW8h29OLuHBQW84fkIjZ1DTmdxHCn0kwESJAaJrGTzvz+HhZOuWV1f1IenVsyTWjOhIdfupv9J7dy/Cmrz3er+R2DPawxi65SQoPsXLj+amM7N2a937Yx74jpXyx8hCrtucy7pxO9OzQUu8ShWjSJJgIEQDyi6t4e+Ee9mSWAhAbYefa0Z3o3v63l37wFR7CteZ9AKwDrsIU17GxSg0YbWJCePDaXqzdnc/HSw9QWOpk5qfb6JMSzXWjOxEeYtW7RCGaJAkmQjRhXp/K9+symb86A49XxWIycPHgJM7tl1jTj+TXNFcljsWvgOrFlNQbc/fzG7nqwKEoCgO7xNGzQ0u+Xp3BovVH2Li3kF0ZJfxlRDJD01o1yxlkhTgTEkyEaKIO5Zbz1nd7OFJQAVRPp379+anE/MZtmxM0TcP54/+hHTuKEhqNbdhfZdhrPbBZTFw1ogMDusTy9sI9HMo9xtsL9/LTznxuuiCVOFnJWIhak2AiRBPj9anMX32IBT9lomoawTYT14zqyFnd4v40ZLi3fof38GYwmLCf8w8Ua3AjVd08JMaG8sj1fVm8MYvPV6Sz70gpU+auY+ywZEb1bS1XT4SoBQkmQjQhmfnHeOPb3TVXSfp3juHaczoRFvznC+x5c3bjXv8JANazrsUYndSQpTZbBoPCuf3a0LtjS95euIedGSV8sGQ/m/YVMuHCzr/ZEVkI8QsJJkI0AT5VZcHPmcxfdQifqhFiN3PDeSn0TY2p1fPVyhKcS14FTcPUcTDmziMauGLRMtzOPVf3ZPmWHD5aeoC9R0p59I11XD2yA8N6tpJbaEL8DgkmQvi5wlIHc77exYHsMqB6CPAN56fSohZXSQA01Ytz8Sw0RzmGyDbYht4gPxQbiaIoDO+VQJd2kcz9Zhf7ssqY9/1eth44ys0XdiYsqHZtKERzIrMpCeHHft6Zx2NvruNAdhl2q5G/XtiZO67oXutQAuD6+WN8+fvBbMc++g4UkwxjbWwx4XYeuK43V4/sgMmosDW9iEffWMeOg0V6lyaE35ErJkL4IYfLy7uLqkd1AHRo3YJbL+pCyzr2T/Ckr8OzYxEAthETMbSIrfdaRe0YFIXz+ifSJSmS2fN3knO0khc+3srovm0YOzz5d4d3C9HcSDARws8cyi3nta92UFjqRFHgksHtuOisthgNdfvB5SvOxrn8DQAsaWMwJ/VuiHJFHbWJCeHRG/vy8bIDLN2UzQ8bjrAns4S/X9ZNhhULgQQTIfyGpmks3pDFx8sO4FM1WrawcevFXenQukXdX8tVieOHmeB1YWzVGUu/KxugYnG6LGYj489NoVv7KOYeH2X1+FvrufH8FAZ2idO7PCF0JdcOhfADlU4PL3++nQ+W7MenavTpFM1jN/c7vVCiqTiWzUEry0cJicI26u8oBllczh/17NCSxyf0J6VNOC63j9fn7+Kt7/bg9vj0Lk0I3cgVEyF0djCnnFe/3EFRuROTUeHqkR0Z2TvhtEfOuDd9jS9zCxhN2EffIYvz+bmIUCv3jevJ/FUZfLMmgxVbcziYU8bfL+tGfJRMgCeaH7liIoRONE1j2aYsnn53I0XlTqLDbTx8fR9G9Wl92qHEm7kF98YvAbANuRFjdLt6rFg0FKPBwOVnt+eea3oSFmQmq7CSJ9/ewMa9BXqXJkSjk2AihA5cHh//981u3lm0D5+q0btTNFNu6k9S3Olf3VDL8nEsfR3QMHcZiTllaP0VLBpF16RIHpvQn05twnG6fbzyxQ4+XnoAn6rqXZoQjUaCiRCNLL+kiqfmbeSnnXkoClw1Ipl/XN6NINvp31nV3A4ci/4L7ioMsR2wDrq2HisWjSk8xMp91/Tk/P6JACxcl8m0D7ZQVuHSuTIhGocEEyEa0dYDR3nirQ1kFVYQFmTm/mt6ccGAtmc0E6umqTiXvY5akoMSFF49iZpRuo81ZSajgb+M7MDtl3XDZjGy70gpj721vmb2XyECmXx6CdEIVE3jmzUZfLXyEBrQIaEFf7+sGxGhZz4Lq3vjV7+sGHzunRiCws/4NYV/6JsaQ0J0MK98sYOco5U8+94mrju3E8N7JuhdmhANRq6YCNHAHC4vr3y+nS+Ph5IRvRJ44Npe9RJKPIc24t70FQC2oTdijEk+49cU/iU+KphHru9Dn5RofKrGvIV7eXvhHjxe6XciApMEEyEaUF5xFVPnbWDz/qOYjAo3XZDK9eelYDKe+VvPV5yF88c5AJi7jZbOrgHMbjVx+2XduOLs9ijA8i05PPfBJkql34kIQBJMhGgg2w8W8eTbG8gtqiI8xMKD1/Xm7LRW9fLamrMCx/f/BY8TY6vOWAdeUy+vK/yXoihcdFYSd12VRpDVRHp2OU+8tZ5DueV6lyZEvZJgIkQ90zSNhWszefGTrThcXjoktGDKTf1IblX3WVx/8/V9Xhw/vIx2rBAlNBrbObfLzK7NSI/kKP59U19atQymtMLN0+9u4qedeXqXJUS9kWAiRD3yeH3M/XY3Hy87gKbBkB7x3D+uFy1Czrw/CVSHHtfqd/Hl7gGzDft5d2OwhdbLa4umIzYiiEeu70NachRen8qcr3fxyY8HUFVN79KEOGMSTISoJ2UVLp57fzOrd+RhUBTGndORmy9Irdfl7D07F+PZ8yOgYB/5N4yRMjqjubJbTdx5ZQ8uHNQWgO9+zmTmZ9twuLw6VybEmZFgIkQ9OJx3jCfe3kB6TjnBNhP/vDqN0X3bnNH8JL/mzdqB66f3AbAO+Aumtj3r7bVF02QwKFw5LJlbL+mC2WRgW3oR/3lnIwWlDr1LE+K0STAR4gxt3FvA0+9tpOSYi7jIICbf0JeuSZH1egxfaQ6Oxa+ApmHqNARzj/Pr9fVF0zawSxz/uq434SEWso9WMvXtDew7Uqp3WUKcFgkmQpwmTdP4ek0Gr3yxA7dHpWu7SCbf0IfYyKB6PY7qPIbjuxngdmCM7Yht6I31eiVGBIZ28WH8+8Z+JMWFUuHwMO2DzazcmqN3WULUmQQTIU6Dx+vj/77ZxRcrDgIwqk9r7r6qB0E2c70eR/O6cX4/85cROOfeiWKs32OIwBERauXB63rTNzUGn6rx5nd7+HipdIoVTYsEEyHqqLzKzbQPtvDTznwMisL153biutGdMBrq9+2kaRrOFXPx5e8Hix37+f/EYD/91YdF82A1G/nbpV25ZHASUL0I4Mufb8fplk6xommQYCJEHZy4f38guwy7tbqT64jerRvkWO6NX+I98DMoRuyj78QYUT+Ts4nAZ1AULhvantsu6YrJaGDLgaM88+4misudepcmxJ+SYCJELe04WMR/3tnA0TIn0eE2Jt/Qp947uZ7g2b+mZg0c69AbMCV0aZDjiMA2oEssD17bi7AgM5kFFTw5b4PMFCv8ngQTIWph2aYsXvxkGw6Xj46tWzD5hr7ERwU3yLG8ObtxLp8LgCVtDJbUYQ1yHNE8JCdUf78mtAymrMLNs+9tYuPeAr3LEuJ3STAR4g+oqsaHS/bzzqJ9qJrGoK5x3HdNL0KDLA1yPF9xNo5FM0H1YmrXF0v/sQ1yHNG8tAy38/D1fejWPhK3V+WVL3bw3c+H0TTpFCv8jwQTIX6H0+3l5c+3s2j9EQAuP7s9t1zUuV5ncv1famUJju+e/2VY8IhbURR5i4r6YbeauGtsD0b2rp4t+JMf03l74R68PlXnyoQ4mUnvAoTwRyXHXPz3061k5ldgMhq45aLO9O8c22DH09wOHAtnoFUWY2gRh/28u1BMDXNVRjRfRoOB8eemEBsZxIdL9rNiay6FpU7+cXm3eh/qLsTpkl/HhPiVjLxyps7bQGZ+BaFBZh68tlfDhhLVi2PxK6hFmSj2MOwX3ItiC2mw4wkxum8b7ryyB1azkd2HS3hKprEXfkSCiRD/Y93OPJ56u3p6+VYtg5l8Q1+SE1o02PGq5yp5C1/WDjBZqucqCYtusOMJcULPDi15aHxvIkKt5BZV8dS8DezPKtW7LCEkmAhxwqJ1mTz15lpcHh9dkyJ4eHxvosPtDXpM97pP8O5bBYoB+6jbMUa3a9DjCfG/EmNDmXxDX9rGhnKsysMz72xi5eZsvcsSzZwEE9Hs+VSV9xbt491F+1A1GNErgbuuSmvwe+7ubQtxb10AgO3sm2W1YKGLiFAr/7quNz07tMTjU3nu3Q3MX3VIRuwI3UgwEc2aw+Xlpc+2s2RTFgpw80VduWlMKiZjw741PPvX4Pr5QwAs/cdiThnaoMcT4o9YLUbuuKI75w1IBODTH9OZu2C3jNgRupBgIpqt4nInT7+7iW3pRVhMBu4Y24MrRnRo8JV7vZnbcP74BgDmbudiSbuwQY8nRG0YDArXje7E367ogaLA6u15vPDRFiocHr1LE82MBBPRLGXklfPkvA1kFVYQFmzhwet60y81psGP68vbj2Pxy6D5MHUYiHXQNQ0ehISoiwsHt+Oeq3titRjZk1nKU+9sJL+kSu+yRDMiwUQ0O5v3FfLMe5soq3CTEB3M5Bv60C6+4Vft9RVlUrXwBfC6Mbbuhm3YLTKBmvBLaR1a8vD4PkSGWckvruKpeRvZd6RU77JEMyGfiqLZ0DSNhWurl4B3e1S6tYvk4fF9aNmiYUfeAKileTgWTK+Z1dU++k4Uo8xvKPxXm5gQJt/Ql6S4UCocHqZ/uJmfduTpXZZoBiSYiGbB61N5e+FePl52AA0Y3iuBu67qgd3a8OFArSii6tvn0BzlGKLaYr/gnyhma4MfV4gzFR5i5cFre9O7UzRen8acb3bx5cqDMmJHNCgJJiLgVTk9zPh4Kyu25qAA14zqyPXndsJoaPhvf7WqrDqUnJhqfsy9KJagBj+uEPXFajFy++XduOD4iJ35qzN4/etdeLw+nSsTgUquJYuAVlDq4L+fbCW3qAqr2chtl3SlZ8eWjXJszVmBY8E0tLJ8lJAo7Bc+gMHe8H1ZhKhvBkXhqhEdiI0M4p3v97J2Vz5HyxzceUUPwoJlTSdRv+SKiQhY+46UMvXtDeQWVRERauWh8b0bL5S4Kqn6dhpqcRaKvQVBF96PISSyUY4tREM5O60V9/wljSCrifTs6jWlsgsr9C5LBJg6BxNVVZk5cyZDhw4lLS2NCRMmcPjw4d/df//+/dx6660MGDCAQYMGMWnSJHJycs6oaCH+zOrtuUz/cDMVDg9t46qn3U6MDW2UY2vuKqoWTEctOoxiC8V+0YMYWsQ1yrGFaGidkyJ55IY+xITbOVrm5Kl3NrL9YJHeZYkAUudgMmvWLD788EOmTp3KRx99hKIoTJw4Ebfbfcq+JSUl3HzzzQQHB/Puu+8yZ84cSkpKuOWWW3C5XPXyBQjxv1RN47Pl6bzx7W68Po0+KdH867rqhcoag+Z2UPXdC6iFh1CsIdgvegBjRKtGObYQjSU+KpjJN/alU5twnG4fL36ylcUbjuhdlggQdQombrebuXPncueddzJs2DBSU1OZMWMG+fn5/PDDD6fsv3jxYhwOB8888wwdO3akW7duTJs2jfT0dDZt2lRvX4QQAC63j1e/3MG3P1VfwbtwUFv+flk3rGZjoxxf87hwfP8iav4BsARhv/B+jJFtGuXYQjS2ELuZ+67pyZDu8WgavL94P+8s2ivT2IszVqdgsmfPHiorKxk4cGDNtrCwMLp06cL69etP2X/QoEG88sorWK2n/rZaVlZ2GuUK8duKy508/d5GNu4txGRUuOWizlw5LBlDI82qqnmcOBa+gC93L5jtBI25D2PLto1ybCH0YjIauHlMKlcNT0YBlm3KZsbHW6l0yjT24vTVaVROXl715Drx8fEnbY+JiSE3N/eU/Vu3bk3r1q1P2jZ79mysViv9+vWra601TKbA67NrPL5onLGBF48LROnZZbz4yVbKKtyEBpmZNDaNlMTwOr/O6baB5nZQsfAFfLn7wGIn9KL7McV1qPPxmzt5D+jvdNvg4iHtaBUdzGtf7mT34RKmztvIPVenER8V3BBlBjR5H9QxmDgcDgAslpOHh1mt1lpdAZk3bx7vv/8+Dz30EFFRUXU5dA2DQSEiInC/2cPCGn4W0kDy46YsZn60GY9XJSk+jMkTBhAbeWbzhNSlDVRXFbnzX8Cbuw+DNYi4cY9iS+h4Rsdv7uQ9oL/TaYNzBrYjOTGSJ+euJb+4iife2sCD1/elV0rDr0EViJrz+6BOwcRmswHVfU1O/BvA5XJht//+SdQ0jf/+97+8+uqr3Hbbbdx0002nVy2gqhrl5YG3oJTRaCAszE55uQOf3KP9U6qm8dmydL5ekwFAr04t+dul3bAoGiUllaf1mnVtA81VxbFvpuHLT0exBhF88QM4glrhOM3jN3fyHtDfmbZBuN3Eozf2Zean29ifVcZjc37m2tEdGd2vjSxWWUuB+j4IC7PX+ipQnYLJiVs4BQUFJCYm1mwvKCggNTX1N5/j8Xh46KGH+Oabb3jggQf461//WpdD/iavN3Aa69d8PjWgv7764HB5eX3+TramVw9RvGBgYk1/kvo4d7VpA81ZQdV3z6MWHgJrMPYL74fIJGm7eiDvAf2dSRsE28zcd00v5i3cw+odeby7aB+H844x/twUzAF4G76hNOf3QZ2+S1JTUwkJCWHt2rU128rLy9m1axd9+/b9zec88MADLFy4kOeff75eQolo3vJLqpg6bwNb04swGQ1MvKgLVw3v0GidXAHUqlKqvn6mekiwLZSgix7E2DKp0Y4vhL8zmwxMuLAzV4/sgKLAym25TPtgM2WVp04rIcSv1emKicViYfz48UyfPp3IyEgSEhKYNm0acXFxjB49Gp/PR3FxMaGhodhsNj7//HMWLFjAAw88QP/+/SksLKx5rRP7CFFbOw8V89pXO6h0egkPsXDnlT1oF9+4U7yrx45S9e00tPJ8lKDw6iHBEQmNWoMQTYGiKJzXP5GElsG8+tVODmSX8cRb67nzyu4kxcnSDOL3KVodl4n0+Xy88MILfP755zidTvr168ejjz5K69atycrKYtSoUTz99NNcccUVTJgwgdWrV//m65zYp658PpXi4sC7h28yGYiICKakpLLZXr77PZqmsWj9keqVgTVo3yqMO67oTnhI/U6a9mdtoJbm1SzIp4RGV08zHyYd++qLvAf011BtkFdcxcxPt5FXXIXZZOCmC1IZ1FVmQ/4tgfo+iIwMrnUfkzoHE71JMGleXB4fby/cw8878wEY3C2OG85PwWyq/0nT/qgNfEWZOBZMR3OUYwiPr16QLzii3mtozuQ9oL+GbIMqp5fXv97JtuN9w87t14arRiQ3yirfTUmgvg/qEkzkO0L4raNlDp5+ZyM/78zHoCiMO6cjEy7s3CCh5I94c3ZTNf/p6lASlYj94ocklAhRR0E2E5Ou7MGFg6onHly0/ggvfLSVY1XS70ScTIKJ8Eu7M4p54q0NZBZUEBpk5v5xPRndt/GHHHoOrsex4HnwODDGpxB00YMY7HJ/XIjTYTAoXDksmduPLxWx+3AJT7y1gcN5x/QuTfiROnV+FaKhaZrGwrWZfLo8HU2DtnGh3HF5d6JaNH5HafeupbhWvQNomJL6YBt5G4rJ8qfPE0L8sb6pMcRHBfHS59spKHHwn3c3csN5KQzuHv/nTxYBT66YCL/hcHmZ9cUOPvmxOpQM7hbHQ9f1bvRQomkarg1f4Fo1D9Awpw7Hds4/JJQIUY8SokP494196ZEchcer8sa3u5n3/V48AdSvQpweuWIi/EJ2YQUvf7GD/OIqjAaF60Z3YljPVo1+60bzeahaOgf33lUAWHpfiqXPZTJrpRANINhmZtLYHnyzOoOvVh3ix83ZHM47xj8u70ZkmEwn0VxJMBG6+3lXHm9/txeXx0dEqJXbL+9GcqsWjV6H6qok98NpuDO2g2LAOvh6LF1GNHodQjQnBkXhkiHtSIoPY87XOzmUW85jb67ntku60rVdpN7lCR3IrRyhG4/Xxzvf7+X1+btweXx0bhvBlJv76RNKjh3l2OdTcWZsB7MN+3l3SygRohH1SI7i0Zv6kRgbQoXDwwsfbeHLlQdR1SY1o4WoB3LFROiioNTBq1/s4HD+MRTgorOSuHRIOwyGxr9l4is4iOP7/6I5yjCGRBI05p8Q3qbR6xCiuYsOt/PI9X34YPF+ftySw/zVGRzILuPWi7sSFix9vJoLCSai0W3aV8gb3+7G4fISYjcz8eIudG8fpUstngM/41z+Bvg8GKPakHDtvznmswXUxEZCNCVmk5Ebzk+lY+tw3v5+D7sySpjy5jr+fmk3OrUJ17s80QgkmIhG4/H6+HhZOks2ZgHQIaEFf7u0qy6d3DRNxb3hC9ybvwbAmJhG6Lm3YwqLgpLAm1lYiKZmULc4EuNCefXLHeQcreTZ9zdx2ZB2XDgoSZcrq6LxSDARjSKvuIrXvtxBZkEFAOf1b8OVw5Ix1XKK4vqkeZw4l83Bm7ERAEvaGCz9xqJY5O0ghD9JaBnMv2/oyzuL9rJmRx5frDzEnsxSJl7cpd7XyhL+Qz6JRYP7aUce876vHnUTYjdzy0Wd6ZHcUpda1PICHIteQi0+AgYTtrNvxtxpsC61CCH+nNVi5JaLutC5bQTvLtrH7sMlTJm7jlsu0u8WsGhYEkxEg3G4vLy7aB8/7cwDIDUxnIkXdyUiVJ/fdLyZW3EsnQ3uKhR7GPZzJ2GM7aBLLUKIuhncPZ72rcJ47audHCmoYMbHWzm3X/WVV7NJBpgGEgkmokEcyCrj9a93crTMiaLAJYPbcfFZ+twb1jQV96avcW/8EtAwxCRjP+cfGEJkjgQhmpL4qGAm39CHj5YeYOmmbBatP8KujBJuu6QLCdEhepcn6okEE1GvfKrK16sz+HpNBpoGLVvYmHhxFzq2DtelHs1ViWPZ6/gytwJg7jIS66BxKEazLvUIIc6M2WRk/LkpdGsXxdwFu8kqrOCJtzfwlxEdGNk7QWZpDgASTES9yS+u4v++2UV6TjkAg7rGct3oFIJs+nyb+QoO4ljyKtqxQjCasA25EXPKUF1qEULUr54dW/LkX/vzxre72XGomPd+2Me29CJuHpMqHWObOAkm4oypmsayTdl88uMB3B4Vu9XI9eemMLBrnC71aJqGZ8ciXGs/BtWHEhqNffQ/MLZM0qUeIUTDaBFi5e6/pLFkYxafLEtn+8Ei/v1/a7n+vBT6d47VuzxxmiSYiDNSXO7kzQW72ZlRAkDnthFMGNO50VcEPkFzVeL88f/wHt4MgKldX2xn34xiDdalHiFEwzIoCqP7tqFL2wj+75vdHM4/xmtf7WTTvkLGn5tCiF1u2zY1EkzEadE0jTU78nh/8X4cLi9mk4Grhiczsk9rDDrd4/Xm7sW57HW0iiIwmLAOugZzl1Fyz1mIZiAhOoRHbujDN2sy+GbNYdbtLmDvkVJuPD+Vnh30mZ5AnB4JJqLOisudvL1wL9sPFgHQLj6MWy7qTHyUPlclNNWLe8OXuLd+C5pWfevmnH9gjE7SpR4hhD5MRgOXDW1PWoeW/N83u8gtqmLmp9sY1DWWced0kqsnTYQEE1FrmqaxfGsOHy89gNPtw2Q0cOmQJM4fkIjRoM88AmppHo5ls1ELDwFg6jQY21njUSx2XeoRQuivXXwYU27qx5crD/H9+kx+2pnPzkPFjD83hb6pMXqXJ/6EBBNRK/klVcxbuJfdh6v7kiS3CuPmMZ1p1VKnqySahmf3j7h+/gC8brAGYxt6I+b2/XWpRwjhXyxmI38Z2YE+qdG8uWAPOUcrmfXlDvqmRHPt6E4ycsePSTARf8jrU1m4NpOv12Tg8apYTAauGJbMOX1a67aQlnrsKM4Vb+LL3gmAsVVnbMMnyoRpQohTJLdqwZSb+vH1mkMs+CmTDXsL2ZlRwtjhyQzr2Uq3PnHi90kwEb/rQFYZb3+/h+zC6tV2uyRFcMN5KcREBOlSj6ZpePYsx/Xzh+BxgtGMtd9YzN1HoygyJbUQ4reZTQauODuZvikxvPXdHjLyjvHO93v5aUceN56fIrPG+hlF0zRN7yLqwudTKS4OvGXpTSYDERHBlJRU4vWqutZS4fDw+fJ0lm/JQQNC7GbGjerIwK6xuo1wUY8V4lz5Nr6sHQAYYjtgH3YLhvD6myvFn9qgOZLzr7/m0AaqqrFkUxafrziIy+3DaFA4r38iF5+VhNVi1Lu8gG2DyMhgjLVcTV6umIgaqqaxcmsOny0/SIXDA8CQ7vH8ZWQH3Xqza6qverK0DV9U9yUxmrH2uxJzt3NRdOpwK4RougyG6nlP+nSK5r0f9rF5/1EW/HyYn3flcc3IjvRJiZYpBnQmwUQAcCi3nHcX7eNQbvV08q2jg7ludCdSEiN0q8lXmIFzxZuoRYcBMManYBt6E4bweN1qEkIEhsgwG3de2YPN+wv5YPF+jpY5mfXlDromRXDt6E66TX8gJJg0e6UVLj5fcZDV23LRAJvFyOVD2zOyT4JuQ4A1dxWuDV/g2bkYNK16xM2AqzGlDJXfZIQQ9apXx2i6JkWy4OfDLPg5k50ZJTz6xjpG9WnNJYOTCLLJ3CeNTYJJM+Xx+li0/gjf/HQYl9sHVC+6d9WIDroNo9M0Fe++1bjWfYLmqL5yY+owEOugazHYw3SpSQgR+CxmI5cNbc9Z3eJ4f/F+tqUXsWj9EdbsyOPyoe04u2cr3X5Ra44kmDQzqqaxYU8BnyxLp6jcCUD7VmGMG9WR5IQWutXlK8zAufod1IJ0AAzh8VjPug5T62661SSEaF5iIoK4+6o0th8s4sMl+8ktquKdRftYuimbv4zsQLd2kXLVthFIMGlGdmcU88mP6WTkHQMgItTK2OHJDOgSq9tYfrWyBNf6z/HuWwVoYLZh7X0p5m6jUYzy7SmEaHzd20fRJSmCHzfn8OXKg2QfrWTGx1vp3DaCq0YkkxQnV3AbknzyNwOZ+cf49Md0dhwqBsBqMXLBgETO65eo2/A4zePEvfU73Nu+qx5tw/HbNgOuxhCsX4dbIYQAMBoMjOrTmoFdY/l6dQZLN2Wx+3AJT7y1gf6dY7ji7Pa6zekU6CSYBLDcokq+WnWI9bsL0ACjQWF4rwQuPiuJsGCLLjVpqg/PvlW4N3yBVlUKVM9JYht4DcbYDrrUJIQQvyfYZuaaUR05p09rvlh5iJ935rFudwEb9xYypEc8F5+VRGSYTe8yA4oEkwBUUFLFV6sy+HlXHiemz9M74WuaivfgelwbPkcrywdACY3GOuAvmNr1lfu2Qgi/1jLczsSLu3Be/zZ8ujydHQeLWb4lh9XbcxnWM4ELB7WV9XfqiQSTAJJfUsWCnw6zense6vFE0qtjSy4d0o7E2FBdatI0DV/mVlwbPkMtOgKAYgvF0vMizF1HohhlKJ4QoulIjA3lnr/0ZN+RUr5YcZC9R0pZsjGLFVtzGNErgfP6JxIRKgHlTEgwCQBZhRV8+9Nh1u3Or7lC0q19JJcPbU+7eH06aWmahu/wFlyb56MWHqreaLZjSbsAS7fRKBa7LnUJIUR96NQmnAeu7cXuwyV8sfIg6dnlLFp/hKWbshjSPZ4LBrYlOlw+506HBJMmLD27jAU/H2bz/qM123okR3HRoCQ6tNZn6K+mqXgPbcC96WvU4uorJJgsWLqegyVtDIpNFssSQgQGRVHokhRJ57YR7DxUzNdrMtifVcaPW3JYsTWXgV1juWBAoiwSWEcSTJoYVdXYcuAoC9dlciCrDAAF6JMSzYWDkmgbp9MtG68bz4Gf8GxbiFqaW73RbMPS9RzM3c+VCdKEEAFLURS6tY+iW/so9maW8M2aDHZmlLBmRx5rduTRvX0U5/dvQ2rbCOlPVwsSTJoIp9vLTzvzWbQuk/wSB1A9ymZgl1jOH9iWhJb6rOuguSpx71qKZ8cPNbO1YrFj6XZu9S0buUIihGhGUhIjSEmM4GBOOd+tPcymvYVsP1jE9oNFJMaGcF6/RPqmxmA2yUyyv0fRtBO9EpoGn0+luLhS7zLq3e8tdZ1fUsXSjdms2p6Lw+UFwG41MaJXAqP6tNatk5WvJAfPziV49q0CrwsAJTgSS/fRmFOHN8k+JIG63HhTIedff9IG9S+/pIof1h9h1bZc3MfPaViQmWE9ExjeK+GUz/BAbYPIyGCMxtqFMQkmfuJ/vxndbh/bDhbx4+ZstqcXcaKBYiLsjOrdmiE94rFbG/9il6aqeDO34Nm5GF/2rprthqg2WHpcgCm5P4qh6V6EC9QPhKZCzr/+pA0aToXDw7JNWSzbnE1pRfWkkkaDQu9O0YzolUBKYjiKogRsG0gwaYJMJgMeFL5efoDlW3IoOeaqeax7+yhG9UmgW/soXaaOVyuK8exbiWfPCrSKouqNioKpbS/MXc/B2KpzQNw3DdQPhKZCzr/+pA0antensmlfIUs2ZrH/eD9BgNgIO2f3bMWwngm0bR0RcG0gwaQJ8Xh9bN5/lJ925rE9vQj1eGuE2M2c1S2OEb0SiI1s/EnRNNWLN3Mbnj3L8R3ZRs04ZGswltRhmLuMwBAa3eh1NST5UNaXnH/9SRs0rsz8YyzbnM3Pu/JrVnk3GhQGdounf+dourSNCJhVjSWY+DlN00jPKWfN9lzW7S6g6njfEYDObSMYmhZPn07RmE2Nu46NpmmoRYfx7FuN98DPaM5jNY8Z41Mwpw6rnqXVpM909g1NPpT1Jedff9IG+nC6vazbXcDyLdkcyv3lczcsyMzArnGc1S1Ot0ky64sEEz+kaRpZhZWs253Put35FJY6ax6LDLMyuHs8Fw1Nxm5SGv0DQS0vxHNwLd79a1BLcmq2K/YwTB0HY0kdhiE8rlFr0oN8KOtLzr/+pA30l1NUybq9hSzbcIRjVZ6a7QnRwfTvHEv/zjHENsHFAyWY+AlN08g+WsmmvYWs3Z1PblFVzWNWs5E+KdEM7hZHStsILGZjo34gqBVFeNPX4Tm47peZWQGMJkxte2PudBbG1t2adGfWupIPZX3J+deftIH+TrRB4dFjbNl3lDU7ctly4Che3y8/qpPiQunXOYY+naKbzArHdQkmzeenTiNRNY2M3GNs3FfApr2FNXOOAJiMBnokR9G/cwxpyS2xWhrvVo2maailOXgzNuHN2HRyGFEUjK06Y0oegLl9PxRL0/hGF0KIQGUyGujZsSU9O7akyulh076jrNudz66MEjLyjpGRd4xPlqXTOjqEPinR9OkUTUJ0cGAMRNC7gEDgcHnZlVHCtvSjbDtYRNnxoWBQ/c3VNSmCvqkx9OoYTZCt8U65pnrx5e3Hm7kVb8ZmtPL8/3lUwRifgim5P6akPhiC9JnCXgghxB8LspkZ0iOeIT3iKa9ys3FPARv2FrI3s5SswgqyCiv4atUhWrawkZbckh4dokhNDG/0for1RYLJadA0jezCSnYcKmbnoSL2Hik96TKb1WIkLTmK3p2i6d4+qlHnHFErivBm7cCXuQ1v9k7w/NKXBYMJY0IXTEm9MbXtiSEovNHqEkIIcebCgiyM6N2aEb1bU+HwsGX/UTbtK2THoWKOljlZsimLJZuysJgNdGkbSdd2kXRrF0lMhL3JXE2RYFJLRWVO9mSWsCujhF0ZxZRVuk96PCbcTo/kKNI6tKRTm/BGm25Yc1bgzdmNL2c33uxdaGV5Jz2u2EIxtumOqW0vTK27NckZWYUQQpwqxP7LlRSX28euw8VsSy9i64GjlFa42XLgKFsOVC/yGhVmo2u7SLokRZDSJpwWIfrMGl4bEkx+g6ZpFJY62J9Vxt7MUvZklnC0zHnSPhaTgZTECLomRdA9OYq4yKBGSaNqVSm+vH34cvfiy9uHWpQF/E//ZUXBEN0eU5semBJ7YGjZFkUJjHHwQgghfpvVYqRXx2h6dYxG0zSOFFSw/WAROw8VcyC7jKJyJyu25rBia/XIy/iooOp1fdqE07F1CyLDbDp/Bb+QYHJcYamDjXsLSc8uY392GeW/uiJiUBSS4kNJTYyga7tIOiS0aPCrIprqQy0+gi8/HV9BOr789F/1EzleW0QrjK26YEroirFVinReFUKIZkxRFBJjQ0mMDeXCQUm43D72Hill56Fi9maWcKSggtyiKnKLqvhxczYAUWFWkhNa0LF1OH1TonW9oiLBhOorJE+8tZ5K5y8TnRkNCklxoXRKDCc1MYIOCS0atK+Ipqq4j2bhOrALT/5B1MIMfEWHwev+1Z4KhqjWGONSMManYIzrKH1FhBBC/C6rxUiP5Ch6JEcB1ev27D9Syp7MUvYeqQ4qReUuisoLWLe7gBVbc3h8Qn/d6pVgctzwXgnkHK0kOaEFHRJa0C4+tMF6NGvuKnzF2ahFmahFR/AVZ6IWZ1F6SggBLHaMMcnVf2Kr/1aswQ1SlxBCiMAXYjfTq1M0vTpVLyvidHs5mFPOgewyDuWU07lthK71STCh+rLXlcOS6/U1NU1Dc5ShluWjluailuSglmSjluagVZb8dh1mK8aWbVGi2mKMboehZRKG8DjpIyKEEKLB2CwmuiRF0iUpUu9SAAkmZ0TTVLSqMtTyArTyAtTyAtTyQtTyfNTSPPA4fve5SnAEhsg2GKMSMUS1wRLTlqik9pSWOWXGRSGEEM2WBJM/oLkdqJUlaJXFaBXF1f+uKEKtOIp6rAitoghU7x+8goIS2hJDi1gMEQnVnVSP//3rDqpGkwHF0DQnwxFCCCHqS52DiaqqvPzyy3zyySeUl5fTp08fpkyZQtu2bX9z/5KSEqZOncqKFSsAOP/883nooYcICvKvkSOe/WvwZm5DqypBrSpDqyo9eXKy36MYUEKiMITFYAiLxhAWgxIWg6FFPIaw6IBdiVcIIYRoCHUOJrNmzeLDDz/k6aefJjY2lmnTpjFx4kS++eYbLJZTfwhPmjQJl8vFW2+9RXl5OY888giPP/44zz77bL18AfVB01Scq+b9dhCx2DEER6GERGAIjkAJjsIQ2rI6jIS2RAmOkCsdQgghRD2pUzBxu93MnTuX+++/n2HDhgEwY8YMhg4dyg8//MCFF1540v6bN29m3bp1LFiwgOTk6s6lTzzxBLfccgv33HMPsbGx9fRlnBlFMWA/dxJqUSZKUDhKUDiG4Oq/FbP/TDojhBBCBLo6DffYs2cPlZWVDBw4sGZbWFgYXbp0Yf369afsv2HDBqKjo2tCCUD//v1RFIWNGzeeQdn1z5TQBUuP8zF3GIipVSqGFnESSoQQQohGVqcrJnl51euwxMfHn7Q9JiaG3NzcU/bPz88/ZV+LxUJ4ePhv7l9bpkZah6YxGY2Gk/4WjU/aQF9y/vUnbaA/aYM6BhOHo3r466/7klitVsrKyn5z/9/qd2K1WnG5XHU5dA2DQSEiInAnGAsLk0X29CZtoC85//qTNtBfc26DOgUTm6361obb7a75N4DL5cJuP/Uk2mw23O5TZzN1uVynPSpHVTXKy6tO67n+zGg0EBZmp7zcgc8n85joQdpAX3L+9SdtoL9AbYOwMHutrwLVKZicuC1TUFBAYmJizfaCggJSU1NP2T8uLo7FixeftM3tdlNaWnpGHV8DeQIyn08N6K+vKZA20Jecf/1JG+ivObdBnW5ipaamEhISwtq1a2u2lZeXs2vXLvr27XvK/v369SMvL4/Dhw/XbDvx3N69e59uzUIIIYQIUHW6YmKxWBg/fjzTp08nMjKShIQEpk2bRlxcHKNHj8bn81FcXExoaCg2m420tDR69+7NP//5Tx577DGqqqqYMmUKl112md8MFRZCCCGE/6hzt99JkyYxduxYJk+ezLhx4zAajbzxxhtYLBZyc3MZMmQICxYsAKoXx3v55Zdp3bo1N954I3fffTdnn302jz32WH1/HUIIIYQIAIqmaZreRdSFz6dSXFypdxn1zmQyEBERTElJZbO9r6g3aQN9yfnXn7SB/gK1DSIjg2vd+bX5DpQWQgghhN+RYCKEEEIIvyHBRAghhBB+Q4KJEEIIIfyGBBMhhBBC+I0mNypH0zRUtUmVXGtGoyGgpiBuiqQN9CXnX3/SBvoLxDYwGBQURanVvk0umAghhBAicMmtHCGEEEL4DQkmQgghhPAbEkyEEEII4TckmAghhBDCb0gwEUIIIYTfkGAihBBCCL8hwUQIIYQQfkOCiRBCCCH8hgQTIYQQQvgNCSZCCCGE8BsSTIQQQgjhNySYCCGEEMJvSDARQgghhN+QYOJncnNzueeeexg8eDD9+vXjr3/9K/v379e7rGbrkUce4V//+pfeZQQ8VVWZOXMmQ4cOJS0tjQkTJnD48GG9y2q2Zs2axfXXX693Gc1KaWkpjz76KGeffTa9e/dm3LhxbNiwQe+ydCHBxI+43W5uvfVWioqKmD17Nu+//z6hoaHceOONFBcX611es+Lz+Xj22Wf59NNP9S6lWZg1axYffvghU6dO5aOPPkJRFCZOnIjb7da7tGbnrbfeYubMmXqX0ezcc889bN26lRdeeIFPP/2Url278te//pX09HS9S2t0Ekz8yIYNG9i3bx/PPfcc3bp1o2PHjjz33HNUVVWxdOlSvctrNtLT0xk3bhxffvklrVq10rucgOd2u5k7dy533nknw4YNIzU1lRkzZpCfn88PP/ygd3nNRn5+Prfccgv//e9/adeund7lNCuHDx9m9erVTJkyhb59+9K+fXseeeQRYmNj+eabb/Qur9FJMPEjHTt25PXXXyc2Nvak7ZqmUVZWplNVzc+6devo3Lkz33zzDa1bt9a7nIC3Z88eKisrGThwYM22sLAwunTpwvr163WsrHnZuXMnLVq0YP78+aSlpeldTrMSERHB66+/Trdu3Wq2KYrSbD/7TXoXIH4RHR3NsGHDTto2b948XC4XgwcP1qmq5mfcuHF6l9Cs5OXlARAfH3/S9piYGHJzc/UoqVkaOXIkI0eO1LuMZiksLOyUz/7vvvuOzMxMhgwZolNV+pFg0oiysrIYNWrU7z6+atUqoqOja/6/aNEiZsyYwfXXX09qampjlBjw6toGouE5HA4ALBbLSdutVmuz/G1RiI0bN/Lwww8zatSoZhkWJZg0otjYWBYsWPC7j0dGRtb8+4MPPuDJJ59kzJgxPPTQQ41RXrNQlzYQjcNmswHVfU1O/BvA5XJht9v1KksIXSxevJj77ruPtLQ0XnjhBb3L0YUEk0ZkNptJTk7+0/2mT5/OnDlzuP7663nkkUdQFKURqmseatsGovGcuIVTUFBAYmJizfaCggK5UiialXfffZennnqK0aNHM3369FOuIjYX0vnVz0ybNo05c+bwwAMPMHnyZAklIuClpqYSEhLC2rVra7aVl5eza9cu+vbtq2NlQjSe999/nyeffJLrrruOF198sdmGEpArJn5l7dq1/N///R/XX389l1xyCYWFhTWPBQUFERwcrGN1QjQMi8XC+PHjmT59OpGRkSQkJDBt2jTi4uIYPXq03uUJ0eAOHTrEf/7zH0aPHs1tt91GUVFRzWM2m43Q0FAdq2t8Ekz8yInx6u+88w7vvPPOSY/dcccd3HnnnXqUJUSDmzRpEl6vl8mTJ+N0OunXrx9vvPFGs/6tUTQf33//PR6Phx9++OGUuXsuv/xynnnmGZ0q04eiaZqmdxFCCCGEECB9TIQQQgjhRySYCCGEEMJvSDARQgghhN+QYCKEEEIIvyHBRAghhBB+Q4KJEEIIIfyGBBMhhBBC+A0JJkIIXRQUFDBgwAAuvvhi3G73KY+/9957pKSknDLhlBAisEkwEULoIiYmhqlTp7Jv3z6ef/75kx7buXMnzzzzDOPHj5dp6YVoZmTmVyGErh555BE+++wz3nzzTQYNGsSxY8e4/PLLCQ0N5aOPPpJp6YVoZiSYCCF0VVVVxWWXXYbT6eSbb75hypQpLF++nM8//5ykpCS9yxNCNDIJJkII3W3bto1x48bRqVMndu3axbRp07jkkkv0LksIoQPpYyKE0F2PHj246aab2LVrFyNGjJBQIkQzJsFECKE7p9PJ8uXLURSFtWvXkpGRoXdJQgidSDARQuhu6tSpHDp0iJdeegmA++67D4/Ho3NVQgg9SDARQuhqwYIFfPLJJ0yaNInRo0fz8MMPs3379pqQIoRoXqTzqxBCN0eOHOGyyy6jS5cuvP322xgM1b8r3X777Sxbtox58+bRr18/nasUQjQmCSZCCF14PB7GjRtHZmYm8+fPJy4uruax4uJiLr74YiwWC1999RVhYWE6ViqEaExyK0cIoYvp06ezfft2nnzyyZNCCUBkZCT/+c9/yMnJYcqUKTpVKITQg1wxEUIIIYTfkCsmQgghhPAbEkyEEEII4TckmAghhBDCb0gwEUIIIYTfkGAihBBCCL8hwUQIIYQQfkOCiRBCCCH8hgQTIYQQQvgNCSZCCCGE8BsSTIQQQgjhNySYCCGEEMJvSDARQgghhN/4f+h7lQhv6IMSAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pd.DataFrame({'X': x, 'gauss_pdf': norm.pdf(x), 'gauss_cdf': norm.cdf(x)}).plot(x='X')" ] }, { "cell_type": "code", "execution_count": 67, "id": "690cdbe0", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_show(df, tf.keras.activations.gelu)" ] }, { "cell_type": "code", "execution_count": 70, "id": "eeb380e6", "metadata": {}, "outputs": [], "source": [ "from scipy.stats import logistic" ] }, { "cell_type": "code", "execution_count": 71, "id": "3ac84069", "metadata": {}, "outputs": [], "source": [ "x = np.linspace(logistic.ppf(0.01),\n", " logistic.ppf(0.99), 100)" ] }, { "cell_type": "code", "execution_count": 75, "id": "831f295f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='X'>" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pd.DataFrame({'X': x, 'logistic_pdf': logistic.pdf(x), 'logistic_cdf': logistic.cdf(x), 'gauss_pdf': norm.pdf(x), 'gauss_cdf': norm.cdf(x)}).plot(x='X')" ] }, { "cell_type": "code", "execution_count": 76, "id": "1842f758", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_show(df, tf.keras.activations.swish)" ] }, { "cell_type": "code", "execution_count": 89, "id": "2f2012d5", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='x'>" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi8AAAG1CAYAAAAxwRT8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABrqElEQVR4nO3deXwU9f3H8dfsbjb3nZCTG5RTLAJSRVSQar3qVSveFW8Blar9KbZarTcFRcR61qto1XoXL7TVqhUBFVHuG3Lfd3azM/P7IxCNEEnCJpNN3s/HYx+7mf3u5LPfhOyb73znO4Zt2zYiIiIiIcLldAEiIiIibaHwIiIiIiFF4UVERERCisKLiIiIhBSFFxEREQkpCi8iIiISUhReREREJKQovIiIiEhIUXgRERGRkOJxuoCOYNs2ltUxCwe7XEaH7bsnUT8Gh/oxONSPwaF+DJ6e2Jcul4FhGK1q2y3Di2XZlJbWBH2/Ho+LxMRoKitrCQSsoO+/p1A/Bof6MTjUj8GhfgyentqXSUnRuN2tCy86bCQiIiIhReFFREREQorCi4iIiIQUhRcREREJKd1ywm5rWZaFaQba0N6gvt6N3+/DNHvWLPBgam0/ut0eXC7laxERaa5HhhfbtqmsLKWurrrNry0udmFZPWf2d0dpbT9GRsYQF5fU6tPnRESk++uR4WV3cImJScTrDW/TB6PbbWjUJQj21Y+2beP3+6iuLgMgPj65s0oTEZEurseFF8sym4JLTExcm1/v8bh61Hn3HaU1/ej1hgNQXV1GbGyiDiGJiAjQARN2y8vL+eMf/8jEiRMZPXo0U6dOZfny5S22f/XVVznwwAP3uG3bti3YpQFgmibw/QejdG27f05tmZskIiLdW9BHXmbNmkVJSQlz584lKSmJRYsWMW3aNF555RUGDhy4R/t169Yxbtw45s6d22x7UlJSsEtrRnMoQoN+TiIi8mNBHXnZtm0bn376KbfccgtjxoxhwIABzJ49m7S0NN566629vmb9+vUMGTKE1NTUZje32x3M0kRERKSbCGp4SUxM5NFHH2XEiBFN2wzDwLZtKioq9vqadevWMWjQoGCWISIiIt1YUA8bxcXFceSRRzbb9vbbb7N9+3YmTJiwR/vS0lKKi4tZtmwZzz77LOXl5YwaNYrrrruO/v3771ctHs/ec5lltf8wxO4jGIYBdhc44WjChDHcdNMtHH/8SXt9/oknHuHtt9/i5Zff7OTKflp7+tHtNlr8mfZUbrer2b20j/oxONSPwaO+3LcOPdtoxYoV3HTTTUyePJlJkybt8fz69esBcLvd3HPPPdTW1rJw4ULOPvts3nzzTVJSUtr1fV0ug8TE6L0+V1/vprjYtV8fhl3pF8rlavl9nHfeBZx55lld9kO/Nf1oWQYul4v4+CgiIiI6oarQExcX6XQJ3YL6MTjUj8HTFfvSamgg981/ET98GLEHHuBYHR0WXpYsWcJ1113HqFGj9piMu9v48eP54osviI+Pb9r20EMPcfTRR/PKK69w6aWXtut7W5ZNZWXtXp/z+327Vta123zKs2E0fuCaptUlRl6g8b229D683gi83ogud2p3W/rRNG0sy6Kiopa6OrNzCgwRbreLuLhIKivrMM2u9TMOJerH4FA/Bk9X7Uvbtsl99BEq/vcZ0SMPou/vrgvq/uPiIls9ONAh4eW5557jjjvuYMqUKcyZMwev19ti2x8GF4CoqCiys7MpKCjYrxpa+sBuaWE027bxN+z7l8TjaXvoaQ1vmKtdZ9Zs27aVK66Yxrp1a8jKymbmzFmMHTseaH7YKC8vl1//+mRuu+1unn/+WTZt2kBycioXXHARJ574KwD8fj9PPvkoH374PoWFBURFRTN27KHMmnUD8fEJTfu4+OLLeeWVl/B6vRxxxFF8+unHvPji6001VVdXc/LJx3LbbXcyYcKRe9S8O7C0JQC2J2z2FKZpqW+CQP0YHOrH4OlqfVny5utU/O8zcLlI/MVxjtYW9PCyaNEibr/9ds477zxuuummn1xYbNGiRTzwwAN89NFHTYcEqqur2bp1K2eccUawS2uRbdvc9dyXbMzZ+6TizjAoO54bzxnd5gDz0kvPM3Pm77jxxj/y7ruLmTVrBo899gxDhgzda/sFC+Yxa9YN9O7dlxdeeI57772D0aPHkJmZxcKF8/nvf//D7Nm3kpmZxebNm7jjjlt4+uknmDnzd037eO+9t3nggYfx+eoJC/Py0kvPs3Ll14wadTAAH3zwHtHR0Ywff3g7e0NERLqSyqX/o+T1VwHode75RA0d5mg9QZ0MsWXLFu68806mTJnCZZddRklJCUVFRRQVFVFVVYVpmhQVFVFfXw/A0UcfjW3b3HDDDWzYsIFVq1YxY8YMkpKSOPXUU4NZ2r6F6HIip5xyOqeccjp9+vTlkkuuYMSIkbz44qIW25911jlMmHAkffv246qrrsGyLL77bhUAQ4cO4+ab/8To0WNIT8/gsMMmMG7cz9m0aWOzfZx66q/p338AQ4YMY+DAQRx44FDeffdfTc+/885bHHvs8Xg8PW4BZxGRbqduwwYK/vYEAInHHkfCxKOcLYggj7y8++67NDQ08P777/P+++83e+7UU09l+vTpTJ48mbvuuovTTjuNjIwMnn76aebMmcPUqVOxbZvDDz+cZ555plMnZxqGwY3njG7lYaOOuTxAew8bjRr1s2ZfDxs2ghUrWl7RuG/f78/iiomJASAQaFy99thjj2f58i945JGH2LFjO1u3bmH79q0cdNDBzfaRnd272dcnnHAyjz66kGuuuZ7CwgJWrfqG66+/qc3vRUREuhZ/USG5D83HDgSI/tloUk4/0+mSgCCHl8svv5zLL7/8J9usW7eu2ddDhw7liSeeCGYZ7WIYBuHefS+M5/G4cLu6zjDNjw/LmaZFWFhYi+339py9a/LJnDl388EH7/HLX57AYYdN4IILLuL555+jsLD5/KPw8OaXVpgy5TgWLLifzz77L5s2bWTo0GEMGKC1e0REQplZW0PuA/Mwq6sI79uPjIsvw+gi15jTuH6IW7duLUcccVTT16tWrWTQoMFt3k9FRTmvvfYyf/rTnUye/Ium7Vu3biEqKuonXxsbG8vEiUfxn/98yJYtmzjllM6bryQiIsFnBwLkPfwQ/vw8PIlJZM24Gld417kmoMJLiPvHP/5OVlY2w4eP4LXX/snmzRu55ZY/t3k/0dExxMTE8N//fsSBBw7F5/Px8sv/YP36tQwbNmKfrz/hhJP5v/+bhW3DMccc2563IiIiXYBt2xQ89wy1a1ZjhEeQNfMaPAmJTpfVTNcY/5F2u/DCi3nppRe44IKpfPXVCu6993769Onb5v14PB5uv/1utmzZxPnnn8XvfjcDn6+eyy67ii1bNlNXV/eTrx8zZhzx8QkcccSRxMbGtvftiIiIw8refZvKTz4GwyDjsssJ793H6ZL2YNh2V1luLXhM06K0tGavzzU0+CkpySM5OYOwsJbXn2lJR03YDXV1dXX86lfHcccd9zJ27KH7bN/aftzfn1d35vG4SEyMpqysRr+T+0H9GBzqx+Bxsi+rViwn768PgW2TetY5JB4zpdO+d1JStLOL1EnPUVlZyZdfLuPDD5eQlpbGmDHjnC5JRETaoX7rFvKfeBRsm/ijJ5Mw+RinS2qRwovsF9MMcPfdt5OQkMhtt93VrtO9RUTEWQ2lJeQ8eD+230/UiJH0OuvsLv33XOFF9ktiYhLvvPMfp8sQEZF2surryJl/P2ZFBd6sbDIuuxLDve+lQ5ykCbsiIiI9lG2a5D3yMP6dO3DHxZE18xrckV3vatY/pvAiIiLSQxW9+AI1q77BCAsjc/o1hCWnOF1Sqyi8iIiI9EBlHy6h/IPGS/mkT7uUyAEDHK6o9RReREREepjqb1ZS9PzfAUg5/dfEjhnrcEVto/AiIiLSg/h27CDvkYfBtombcASJxx3vdEltpvAiIiLSQwTKy8l5cB62r57IIUNJO/eCLn1KdEsUXrqhL79czoQJY8jLy3Wshry8XCZMGMOXXy5vsc306Zdyxx23dl5RIiI9mOXzkbPgAQKlpYSlp5N5xXQMT2iumBKaVctPGjlyFK+//g4JDl5Iq1evNF5//R3i4uIdq0FERBrZlkX+E4/i27oFV0wMWTOuxR0d7XRZ7abw0g2FhYWR7PDpbm632/EaRESkUfErL1P95QoMj4fMK2fgTUtzuqT9ovASwv73v095/PG/snXrZiIjo/j5zw9nxoxZbNy4npkzL+ell94gIyOT+vp6FiyYx7//vYSGhgCTJh2Dz+fD4/Ewe/atLF78Jk8//QSXXnolf/3rAkpKSjj44NHceOMfWLToWd5++y3CwsI488ypnHfeb5u+/9tvv8ULL/ydHTu2k5SUxMknn8q5516Iy+UiLy+XX//6ZObP/yujR4/B7/fz178+yHvvvUMg0MBpp/2abnhNUBGRLqfivx9R9s5iANIuuIioAw50uKL9pzkvu9i2jd3gc+7Wxg/y8vJyZs++nhNOOJm///1l7rzzPr7++isWLnxgj7Z//vMtfPHF59x665389a9PUFNTw5Il7zZrU1CQz6uvvsydd87h/vsfYs2a77jggql4PB4effQpTjnldB555CE2b94IwIsvLuK+++7k5JNP5emnn+fSS69i0aJneeihPb8/wP3338cHH7zP7Nm3sHDhE+Tn57Fy5Vdtes8iItI2tWtWU/DcMwAknfQr4n5+mMMVBYdGXmgMLrVv3IFVsNGxGtxpg4k8+aZWz/ouKirA7/eTlpZOenoG6ekZ3HPPXEzTpKqqsqldbm4O//nPB/zlLw8yduyhANx8859YtWpls/0FAgFmzbqBAQMGATBmzDi++24VV145E8MwOPfcC/nb3x5j8+ZN9O8/kOeee5rTTjuT008/E4DevftQWVnOggX389vfXtJs37W1Nbz99lv87ne/5+c/nwDA7Nm3sGLFsvZ1loiI7JM/L5fchxeAaRI7bjzJJ5/idElBo/Cyi0FonSo2ePCBHHPMsfz+99fSq1caY8ceymGHTeDwwyfyzTdfN7Vbv34tACNGjGzaFh4eztChw/bYZ58+/ZoeR0REkJGR2RSmwsPDAfD7/ZSXl1FaWsJBBx3c7PWjRo0mEAiwbdtWkpKSmrZv376NhoYGhgwZ3qyGwYNDf+hSRKQrMquqyJk/D6u2loiBg0j77UUheUp0SxReAMMwiDz5Jgj499nW43ERCFjBL8LjbfMv1q233sFFF13C559/xrJlS7n11tmMHDmKCy+8uKmNe9eVQS1r34elPD86Za6lenYf4vrx05Zl7XU/P35dS99PRET2n9XQQM5D82koKiIsJZXM6TNxhXmdLiuoNOdlF8MwMMLCnbu1Mbh8++0q5s//C3369OPMM8/mvvse4MYb/8iXXy6nrKysqd3AgYMxDIPvvlvVtC0QCLBu3dp291ViYhKJiUmsXPl1s+0rV35FWFgYWVnZzbb37dsfrze82YhQIBBgw4b17a5BRET2ZNs2BU89Sf3GDbgiI8mceS2e2Dinywo6/dc3REVHR/PKKy/h8YRx8smn4vP5WLLkXbKz+5CQkNDULjMzi0mTjmHevHu5/vqbSElJ5e9/f5rCwoJ2DyEahsHUqefy+ON/JTMzi3HjxrN69Xc8+eSjnHzyqcTExDSbdxMZGckZZ5zJk08+QkpKCv36DeCFF56juLhof7tBRER+oPStN6ha+j9wu8m8cgbhmZlOl9QhFF5CVP/+A7jjjvv4298e49VXX8LlcjF69Fj+8pf5FBTkN2t7ww2zuf/+Odx88w3Yts2UKccxfPjI/Tpsc/bZ5xMW5uXFFxcxf/5f6NUrjXPOuYCzzz5vr+0vu2w6Xm84c+feQ21tLccc8wsOP3xiu7+/iIg0V7n0f5S8/ioAvc45j6i9zG3sLgy7Gy62YZoWpaU1e32uocFPSUkeyckZhLXjGGCHzXnpID6fj6VL/8eYMWOJivp+NcWpU0/j2GOPbzY/pjO1th/39+fVnXk8LhIToykrqwmp38muRv0YHOrH4GlPX9Zt2MDOv9yDHQiQeOwvSf31bzq4yuBLSorG7W7dbBaNvHRzXq+XefPu5eCDR3PBBdNwu9289dbrFBTkc/TRxzhdnoiI7Cd/YSG5D83HDgSI/tloUk7/tdMldTiFl27OMAzuvXceCxfO5/LLf4tpmhxwwBDmzl1A3779nC5PRET2g1lTQ+78eZjVVYT37UfGxZdhuLr/uTgKLz3A4MEHMm/eQ06XISIiQWQHAuQ+vAB/fh6exCSyZlyNa9eaXN1d949nIiIi3Yxt2xQ89wx1a9dghEeQNfMaPAmJTpfVaRReREREQkzZu29T+cnHYBhkXHY54b37OF1Sp1J4ERERCSFVK5ZT/M+XAEj9zdnE/OhSLT2BwouIiEiIqN+6hfwnHgXbJv7oySRM7plnjSq8iIiIhICG0hJyHrwf2+8nasRIep11dre62GJbKLyIiIh0cVZ9HTnz78esqMCblU3GZVdi7Lrwbk+k8CIiItKF2aZJ3iMP49+5A3dcHFkzr8UdGel0WY5SeAlh+fn5LFnybtD2d8YZJ/HEE48EbX8iIrL/iv7xPDWrvsHwesmacQ1hyclOl+Q4hZcQdscdt7B06f+cLkNERDpI2QfvU/7hEgDSp11CRP8BDlfUNQQ9vJSXl/PHP/6RiRMnMnr0aKZOncry5ctbbF9WVsbvfvc7xo4dy9ixY/nDH/5AbW1tsMvqlrrhNTVFRGSXqpUrKXphEQApp/+a2EPGOlxR1xH0ywPMmjWLkpIS5s6dS1JSEosWLWLatGm88sorDBw4cI/2M2fOxOfz8dRTT1FZWcns2bP505/+xD333BPs0n6Sbdv4rYZ9tjMxCJjBDw1eV1ibZo1Pn34pX3/9JV9//SVffbWChQsf569/XcCyZUuprKwgOTmFY489nksuuQKXy8XixW/y5JOPMm3aZTz11OMUFhYwcOBgrrnmOkaMOKhpv6WlJcyefT1Ll/6P8PBwjjvuBK688mrcPXhimIhIZ6vZupWchx8C2yZuwhEkHne80yV1KUENL9u2bePTTz/l+eefZ/To0QDMnj2bjz/+mLfeeourr766WfuvvvqKL774gsWLFzcFm9tuu42LL76YWbNmkZaWFszyWmTbNnO/XMjmim2d8v32ZkB8P2aNvqLVAebOO+/jhhuupVevNK699gauvfYqEhMTmTv3QaKiovnf/z7h/vvnMGzYcI444igAiouLeO21f/KHP9xOWFgYc+bcxZ//fAvPP/9K0/d9663Xueqqa7jqqmv48svl3H337fTvP5ATT/xVR711ERH5gYbycjb++S6s+noihwwl7dwLeuwp0S0J6mGjxMREHn30UUaMGNG0zTAMbNumoqJij/bLly8nNTW12YjMuHHjMAyDFStWBLO0VgitX4y4uHg8Hg/h4eFERUVy7LHH8/vf38zgwQeSlZXNGWecRUpKKps2bWx6TSAQ4Lrr/o8RI0Zy4IFDOP/837Jz5w5KSkqa2kyceDRnnjmVzMwsTjzxVwwcOJi1a9c48RZFRHocy+djxwPz8BcX403PIPOK6RgeXUP5x4LaI3FxcRx55JHNtr399tts376dCRMm7NG+oKCAjIyMZtu8Xi8JCQnk5eXtVy0ez95zmWXtGVIMw2DW6Cv2edjIMMDtMjAtm2BPN2nrYaMfCg+P4PTTz+Q///mAF19cxM6dO9i4cQPFxUWYptmsbd++/ZseR0fHABAIfP+++/Tp26x9bGwsfr+vXXW1ZPfbNAxa3Y9ut9Hiz7Sncrtdze6lfdSPwaF+3H+2ZZH35GPUb9mCJzaWftf9Dk98rNNldUkdGudWrFjBTTfdxOTJk5k0adIez9fV1eH1evfYHh4ejs/X/g9Ml8sgMTF6r8/V17spLnbt9cMwjNCa12EYBoZhEAj4uPLKi6mrq+OYY6Zw/PEnMmzYCC6/fBouV+P7dLkaE0NUVETT63f/kdndBsDjcTfrl92BqiOCQ2v+yFmWgcvlIj4+ioiIiH2274ni4nr2eg/Bon4MDvVj+219+lmqVizH8HgYcuMNxA/uv+8X9VAdFl6WLFnCddddx6hRo5g7d+5e20REROD3+/fY7vP5iIqKavf3tiybysq9n7Hk9/uwLAvTtAkErDbt1zAaP3BN0wr6yEt72bbNp59+ytq1a3jjjXdJSmo8/7+ysoLS0hIsq/F9WlZjwT98z6ZpNd3v3r67/Q/3b9tt76uf0pZ+NE0by7KoqKilrs786cY9jNvtIi4uksrKuqafpbSd+jE41I/7p+yjj8h75TUAsi6+mPjhw3pcX8bFRbZ65K5Dwstzzz3HHXfcwZQpU5gzZ85eR1cA0tPTWbJkSbNtfr+f8vLy/Z6s29KHrbkfZwrt/qDtKsElMjKKvLxc4uMTAHj33bc5+ujJFBQU8MgjCwgEAnsNh05rTz+2J2z2FD8Mn9J+6sfgUD+2Xe2a1eQ98xQASSf9irjxhwHqy58S9GMBixYt4vbbb+ecc87h/vvvbzG4AIwdO5b8/Hy2bfv+LJ+lS5cCNJ2tJC075ZTT2bJlEzfeeB1XXXUNL730PGeffQZ33nkrBx88mmOOOZbVq791ukwREWmBPy+X3IcXgGkSO248ySef4nRJIcGwg7jS2ZYtWzjppJM46qijuOWWW5o9FxERQVRUFKWlpcTGxhIREYFt25x99tn4fD5uvfVWamtruemmmzj00EO566672l2HaVqUltbs9bmGBj8lJXkkJ2cQFtZysGqJx+NSEg6C1vbj/v68ujOPx0ViYjRlZTX6ndwP6sfgUD+2nVlVxfY7b6OhqIiIgYPIvu4GXGHeHtuXSUnRrT5sFNSRl3fffZeGhgbef/99JkyY0Ox2xx13kJeXx4QJE1i8eDHQOBl0wYIFZGdnc8EFF3DNNdcwceJEbr311mCWJSIi0qVYDX5yHppPQ1ERYSmpZE6fiUv/QWu1oI68dBUaeen6NPKy/3rq/86CTf0YHOrH1rNtm/zHH6Fq6ee4IiPpfeMfCM/MbHq+p/alYyMvIiIi8tNK33ydqqWfg9tN5pUzmgUXaR2FFxERkU5S+flnlLzxGgC9zjmPqKHDnC0oRCm8iIiIdIK6DRsoeOpJABKP/SUJE49ytqAQpvAiIiLSwfyFheQ+NB87ECD6Z6NJOf3XTpcU0hReREREOpBZU0Pu/HmY1VWE9+1HxsWXYbj08bs/1HsiIiIdxA4EyH14Af78PDyJSWTNuBpXeLjTZYU8hRcREZEOYNs2Bc89Q93aNRjhEWTNvAZPQqLTZXULCi8iIiIdoOzdt6n85GMwDDIuu5zw3n2cLqnbUHjpYRYvfpMJE8Y4XYaISLdWtWI5xf98CYDUs84m5qCDnS2om1F4ERERCaL6rVvIf+JRsG0SJk0mcfIUp0vqdhReREREgqShpIScB+/H9vuJGnEQqb852+mSuiWP0wV0FbZtY/v9+2xnmS6sDrjWhOH1YhhGm14zYcIYzj//It59dzENDQ0sWPAIGRlZPPbYw7z33tvU1FTTv/9ALr74csaNG7/XfZxxxkn88pcnMm3aZU3bpk+/lIyMTGbPvnV/3pKISI9i1tWRM38eZkUF3qxsMi67AsPtdrqsbknhhcbgsuPuO6jftNGxGiIGDab3729qc4B5441XmDNnPoGASZ8+/bj11tls2bKZP/7xdlJTe/Hppx9zww3XcOedczjssAkdVL2ISM9mmyZ5jzyMP2cn7rg4smZeizsy0umyui2Fl93aGBq6imOPPZ4hQxqvjbFz5w6WLHmXxx9/pmnbWWedy8aNG1i06BmFFxGRDlL0j+ep/fYbDK+XrBnXEJac7HRJ3ZrCC2AYBr1/f1OrDht5PK4OuUR5ew4bAWRnf3/q3fr16wCYMeOyZm0CgQAxMbH7V6CIiOxV2QfvU/7hEgDSp11CRP8BDlfU/Sm87GIYBkYrVj10eVy43MEPL+0V/oOabbuxroceeoyoqOhm7VxtWIraNAPBKU5EpJur/mYlRS8sAiDl9F8Te8hYhyvqGXS2UTfSv/9AAIqLi8nO7t10+9e/3uBf/3pjr6/xeMKorq5u+tqyLHJzczqlXhGRUObbsYO8Rx4G2yZuwhEkHne80yX1GAov3ciAAQM57LAjmDPnLj755CNycnayaNGzPPfcU2RmZu31NQcdNIoPPniPr7/+ku3btzFnzl3NwoyIiOwpUF5OzoPzsH31RA4ZStq5F7Tr0L+0jw4bdTO33XYXjz76EPfddxdVVZVkZmZxww2zOeGEk/fa/tJLr6KqqpLrrptJREQkJ510CpMn/wLbtju5chGR0GD5fOQseIBAaSlh6elkXjEdw6OP085k2N3wU8o0LUpLa/b6XEODn5KSPJKTMwgL87Z53x01YbenaW0/7u/PqzvzeFwkJkZTVlaj38n9oH4Mjp7Sj7ZlkffXh6j+cgWumBj63PRHvL16BfV79JS+/LGkpGjc7tYdENJhIxERkVYqfuVlqr9cgeHxkHXVzKAHF2kdhRcREZFWqPj4I8reWQxA2oUXETn4AIcr6rkUXkRERPahds1qCv7+DABJJ/2KuPGHOVxRz6bwIiIi8hN8ubnkLnwQTJPYceNJPvkUp0vq8XpseOmG85S7Jf2cRMRJgapKch+ch1VXR8TAQaT99iKdEt0F9Ljw4t51hU+/3+dwJdIau39ObrdOQxSRzmU1+Ml96EEaiooIS0klc/pMXDrrsUvocZ8ILpebyMgYqqvLAPB6w9uUoi3LwDQ1GrC/9tWPtm3j9/uori4jMjKmTZc3EBHZX7ZtU/DUk9Rv3IArMpLMmdfiiY1zuizZpceFF4C4uCSApgDTFi6XC8vqOefdd5TW9mNkZEzTz0tEpLOUvvk6VUs/B7ebzCtnEJ6Z6XRJ8gM9MrwYhkF8fDKxsYltugih220QHx9FRUWtRl/2Q2v70e32aMRFRDpd5eefUfLGawD0Ouc8ooYOc7Yg2UOPDC+7uVwuXK7WH7/0eFxERERQV2f2qFUPg039KCJdVd2GDRQ89SQAicf+koSJRzlbkOyV/lsrIiIC+AsLyX1oPnYgQMzPDiHl9F87XZK0QOFFRER6PLOmhtz58zCrqwjv15/0iy/F0GHrLks/GRER6dHsQIDchxfgz8/Dk5hE1vSrcYWHO12W/ASFFxER6bFs26bguWeoW7sGIzyCrJnX4ElIcLos2QeFFxER6bHK3nmbyk8+BsMg47LLCe/dx+mSpBUUXkREpEeqWrGc4n++CEDqWWcTc9DBzhYkrdbh4WXhwoWcd955P9nm1Vdf5cADD9zjtm3bto4uT0REeqD6LZvJf+JRABImTSZx8hSHK5K26NB1Xp566inmz5/P2LFjf7LdunXrGDduHHPnzm22PSlJK6uKiEhwNZSUkLPgAWy/n6gRB5H6m7OdLknaqEPCS0FBAbNnz2bFihX0799/n+3Xr1/PkCFDSE1N7YhyREREADDr6siZPw+zogJvVjYZl12BseuCvRI6OuSw0XfffUd8fDxvvPEGo0aN2mf7devWMWjQoI4oRUREBADbNMl75GH8OTtxx8WRNfNa3JGRTpcl7dAhIy+TJk1i0qRJrWpbWlpKcXExy5Yt49lnn6W8vJxRo0Zx3XXXtWrUpiUeT/BzmdvtanYv7aN+DA71Y3CoH4MjFPox/4W/U/vtNxheL32umUVkWtcc7Q+FvnSa49c2Wr9+PQBut5t77rmH2tpaFi5cyNlnn82bb75JSkpKm/fpchkkJkYHu9QmcXFK6sGgfgwO9WNwqB+Do6v2Y+5biyld8j4AB1w7k5RDRjpc0b511b7sChwPL+PHj+eLL74gPj6+adtDDz3E0UcfzSuvvMKll17a5n1alk1lZW0wywQaU3BcXCSVlXWYpi4o2F7qx+BQPwaH+jE4unI/Vq1cyY7HGy+22OvXZ+IeehBlZTUOV9WyrtyXHSkuLrLVo02OhxegWXABiIqKIjs7m4KCgnbvsyOvVmyalq6GHATqx+BQPwaH+jE4ulo/+nbsYOfCh8C2iZswkfhf/LJL1fdTulpfdiWOH1BbtGgRhx56KPX19U3bqqur2bp1qybxiohIuwXKy8l5cB62r57IIUNJO/d8DMNwuiwJgk4PL6ZpUlRU1BRWjj76aGzb5oYbbmDDhg2sWrWKGTNmkJSUxKmnntrZ5YmISDdg+XzkLHiAQGkpYenpZF4xHcPTJQ42SBB0enjJy8tjwoQJLF68GICMjAyefvppampqmDp1KhdeeCGxsbE888wzREREdHZ5IiIS4mzLIv/xR/Ft3YIrJoasmbNwR3fcSRzS+Qzbtm2niwg207QoLQ3+ZCyPx0ViYjRlZTU6Drkf1I/BoX4MDvVjcHSlfix6+UXK3lmM4fGQ/bsbiBx8gKP1tFVX6svOlJQU3eoJu47PeREREQmWio8/ouydxpH9tAsvCrngIq2j8CIiIt1C7ZrVFPz9GQCSTvoVceMPc7gi6SgKLyIiEvJ8ubnkLnwQTJPYceNJPvkUp0uSDqTwIiIiIS1QVUnug/Ow6uqIGDiItN9epFOiuzmFFxERCVlWg5/chx6koaiIsJRUMqfPxBXmdbos6WAKLyIiEpJs26bgqSep37gBV2QkmTOvxRMb53RZ0gkUXkREJCSVvvk6VUs/B7ebzCtnEJ6Z6XRJ0kkUXkREJORUfv4ZJW+8BkDaOecTNXSYswVJp1J4ERGRkFK3YT0FTzVeJTrxuOOJn3ikwxVJZ1N4ERGRkOEvLCTnofnYgQAxow8h5bQznC5JHKDwIiIiIcGsqSFn/lys6mrC+/UnfdqlGC59jPVE+qmLiEiXZwcC5D68gIb8fDyJSWRNvxpXeLjTZYlDFF5ERKRLs22bgueeoW7tGozwCLJmXoMnIcHpssRBCi8iItKllb3zNpWffAyGQcZllxPeu4/TJYnDFF5ERKTLqlqxnOJ/vghA6llnE3PQwc4WJF2CwouIiHRJ9Vs2k//EowAkTJpM4uQpDlckXYXCi4iIdDkNJSXkLHgA2+8nasRBpP7mbKdLki5E4UVERLoUs66OnPnzMCsq8GZlk3HZFRhut9NlSRei8CIiIl2GbZrkPfIw/pyduOPjyZp5Le7ISKfLki5G4UVERLqMon88T+2332B4vWRNv5qw5GSnS5IuSOFFRES6hLIP3qf8wyUApE+7lIj+AxyuSLoqhRcREXFc9TdfU/TCIgBSTj+T2EPGOFyRdGUKLyIi4ijfju3kPfJXsG3iJkwk8bhfOl2SdHEKLyIi4phAeTk58+/H9tUTOWQoaeeej2EYTpclXZzCi4iIOMLy+ch58H4CZaWEpaeTecV0DI/H6bIkBCi8iIhIp7Mti/zHH8W3bSuumBiyZs7CHR3tdFkSIhReRESk0xW/8jLVX63A8HjIumom3l69nC5JQojCi4iIdKqKjz+i7J3FAKRdeBGRgw9wuCIJNQovIiLSaWrXrKbg788AkHTSr4gbf5jDFUkoUngREZFO4cvNJXfhg2CaxB46nuSTT3G6JAlRCi8iItLhAlWV5D44D6uujohBg0m78CKdEi3tpvAiIiIdymrwk/vQgzQUFRGWmkrmVTNwhXmdLktCmMKLiIh0GNu2KXjqSeo3bsAVGUnWzGvxxMY5XZaEOIUXERHpMCVvvEbV0s/B7Sbzyhl4MzKdLkm6AYUXERHpEJWff0bpm68DkHbO+UQNHeZwRdJdKLyIiEjQ1W1YT8FTTwKQeNzxxE880uGKpDvp8PCycOFCzjvvvJ9sU1ZWxu9+9zvGjh3L2LFj+cMf/kBtbW1HlyYiIh3AX1hIzkPzsQMBYkYfQsppZzhdknQzHRpennrqKebPn7/PdjNnzmTHjh1N7T/99FP+9Kc/dWRpIiLSAcyaGnLmz8Wqria8X3/Sp12K4dIgvwRXh1y+s6CggNmzZ7NixQr69+//k22/+uorvvjiCxYvXszAgQMBuO2227j44ouZNWsWaWlpHVGiiIgEmdXQwI4F82nIz8eTmETW9KtxhYc7XZZ0Qx0Sh7/77jvi4+N54403GDVq1E+2Xb58OampqU3BBWDcuHEYhsGKFSs6ojwREQky27bZ9NfHqF2zBiM8gqyZ1+BJSHC6LOmmOmTkZdKkSUyaNKlVbQsKCsjIyGi2zev1kpCQQF5eXrtr8HiCn8vcbleze2kf9WNwqB+Dw+12sfCfK/loxU6nSwlpo4u/YULBciwM3ko7gq0vbwW2OlxV6DIMsG2nq9g7w4ATDuvHiYf1c6yGDgkvbVFXV4fXu+dKi+Hh4fh8vnbt0+UySEyM3t/SWhQXF9lh++5J1I/BoX7cfx8s24G/wXS6jJB1QPU2JhQsB+CDlDGs9maAL+BwVdIyGwwL3CaGywSXCS7rB493b2+hjWGxuRISE4c79g4cDy8RERH4/f49tvt8PqKiotq1T8uyqawM/tlKbreLuLhIKivrME0r6PvvKdSPwaF+DA6324VlNf4X96bzDiEhVnM02iKwfSuVDz0PQNykKZx98hn8xuqiQwYhwu0yiImJoLq6HvNHfWnbNj7LR12gjtpALXWBOurNenymD9/ue8u36+sf3H60zWY/f0bJMZSV1ezfPn4kLi6y1SPJjoeX9PR0lixZ0myb3++nvLx8vybrBgId98fcNK0O3X9PoX4MDvXj/rN3jc8nx0WQqPDSag0lJWz/28PQ0EDMQaMYMf0Syivr9fvYBqZlUtVQTaW/iip/NZW+KmrMGhoq/JRWVVDlr6GmoZbahlpqGmqpCdRi2cHrX4/hJsztxesKw+sOw7vrcbNtLi9edxhh7rBd27wcnDrS0Z+z4+Fl7NixzJkzh23bttG3b18Ali5dCsDo0aOdLE1Eeojd4cWlixy3mllXR878eZgVFXizssm64koMt9vpsroM27apCdRSVl9OaX05ZfXllPnKqfBVUeWvonLXraahtl2jIGEuD9Fh0UR5Ion0RBLpiSDCE06EJ4JI967H7u+3RbjDG9u4wwn3hBPuDsfrCsPtCs2fWaeHF9M0KS0tJTY2loiICEaNGsXo0aO59tprufXWW6mtreWWW27hlFNO0WnSItIpdo/MG4bSS2vYpkneIw/jz9mJOz6erJnX4o7seXOvahpqKaorpqi2hKK64u+Diq/xvsFqaNV+XIaL2LBo4ryxxIbHEh8eS0psAm4zjEh3JFFhUcSERRHliSI6LIrosGi87rAOfnddW6eHl7y8PCZPnsxdd93FaaedhmEYLFiwgD/96U9ccMEFhIeHc9xxx3HjjTd2dmki0gPZPzilQ9mldYr+sYjab7/B8HrJmn41YcnJTpfUYXymn/yaAvJrCimqK2kWVmoDdft8faw3hqTwRBIj4kkMTyA+PI44b2zjLbzxPjosCpfx/VwPj8dFYmI0ZWU1OgTXgg4PL3fffXezr7Ozs1m3bl2zbcnJya1aiVdEJNisZuFF6WVfyj54n/IPPwAgfdqlRPQf4HBFwdFgNpBfW0ReTT55NQWN99UFlNSX/eRhnXhvHL2iUkiJTCY5IpHEiASSIhJICE8gMTyesBAeIbEtE7uusvFWW4Fdv+uxrxZP/zG4U/s5Vpvjc15ERJz0w7U0NOflp1V/8zVFLywCIOX0M4k9ZIzDFbVPg9lATk0e2ytz2FG1k+1VOeTW5Lc4ETYmLJqM6DR6RaWQGplCalQKqZHJpEQmE+7ec6mPrsy2LWxfTWMYqa3Armu8WU1fVzZuq63Arq+GFoKbWbKNqF/+rnOL/wGFFxHp0TTy0jq+HdvJe+SvYNvETZhI4nG/dLqkVrFtm8LaIjZVbGNLxVa2Ve0kr6Zgr0ElyhNJRnQ6GTFpZESnkRmdTkZ0GrHeGAcqbzu7wYddU4ZVW4ZdXYpVU4ZdU9q4raYMu7Ycu64K7DasaWQYGJHxGJFxjbeIWIzIOMIOmNBxb6QVFF5EpEdrPvKi8LI3gfJycubfj+2rJ3LIUNLOPb/LBr2AFWBHVQ6bKrayqXwrmyu2Ut2w53okMWHR9I7Nok9sNn1is+gdm01SREKXfV92gw+ruhi7umRXKGkMJlZNGXZ1Y2DB1/p1V4zwGIyo+MZbZBxGZDyuqPjGoPLD+/CYLnlhTYUXEenRNGH3p1k+HzkP3k+grJSw9HQyr5iO4ek6Hx22bZNbk8+60g2sKdvAxrLN+H90lk+Yy0Of2N4MTOhHv7je9InNJiE8vksFFdtf1xhOqooJ1JZS4q+gtigPs6pxm11f1bodhUXgik7E2HVzRSc13kft2rZ7BMXddX6G7RHa1YuI7Kcfjrx0pQ+zrsC2LPIffxTftq24YmLImjkLd3THXXqltSr9VawuWcfa0g2sLdtAlb+62fMxYdEMiO/HwIR+DIzvR+/YLDwuZz/ubCuAXVWMVVGIVVmAtSuUWFXFWNXFe4ya7PU8pvDoxjASk9QYRmK+DydNQcXbM05ZV3gRkR7NsjTy0pLiV16m+qsVGB4PWVfNxNurlyN12LZNQW0h3xSt5pvi1Wyt3N7sDKAwVxiDEwZwYNIghiYdQEZ0WrNTjzutzoAfq7IIu3JXQKksxKpovLerS2AfK+Ma4TEYsSm441KISs3AHxYP0ckYMSm4YpMxvO27ZE53pPAiIj3aDyfsas7L9yo+/oiydxYDkPbbaUQOPqBTv79t22yr2sGXBd/wTfF3FNWVNHu+d2wWw5IOZEjSYPrH9yWsk0ZWbMvCri7GKs/7/rY7oNSU/vSLPV5ccWm44nphxKXiik3BFZuCEZPaGE7CIhqbaZ2XfVJ4EZEerflhI+fq6Epq16ym4O/PAJB88inEHfrzTvm+tm2TU53HisKVrChYSUn992HAY7g5IGkQB6UMY0TyUBIjEjq2lgYfVkX+roCS+4Ogkg/mT1wx2xvZFFBc8buCyu77yK41zyaUKbyISI+2e8Kugea8APhyc8ld+CCYJrGHjifppF91+Pcsqy/n87zlLCv4moLawqbtXlcYB6UO5+DUkQxNOoAIT/Avmmn767DKcjDLcrBKdzaFFLu6pOUXuT244tNxJWQ03uLTdwWVNAiP1u9RJ1B4EZEezdZ1jZoEqirJnT8Pq66OiEGDSbvwog7rlwYrwKri1XyW+wVrSzc0zWHxuDwMTx7CIb1GMSJlaNAWgbPNQONISulOrNKdmKU7scpysKuKWnyNERH7fUD5wc2ISemSpw/3JAovItKj7Z7z0tOzi9XgJ3fBfBqKiwhLTSXzqhm4woK/emx+TQGf5C7li/wvqWmobdo+OGEAh2aM4eDU4UR62n/GjG3bjeuflGxvDCilO7FKc7Aq8sDa++JsRlQCrsQsXEnZuBIzcSdkNoaUiNBYnK4nUngRkR5t98lGPXmyrm3bFPztSeo3bcQVGUnWzGvxxMYFbf+WbbG6ZB3/3vEJa8s2NG2P98YxPmMM4zPG0CsqpR11W9gVBZjF2xrDyq77FtdECYvElZSFOzG7MagkZeNOylZICUEKLyLSo9kaeaHkjdeo+uJzcLvJvHIG3ozMoOy3LlDP53nL+Wjnp01nCxkYjEwZxuGZ4xiadABul7tV+7LNAFZZDlbxNsySbVjF2zFLtkPAt2djw4UrIRNXcu/GsJKUjSupN0Z0kg4PdhMKLyLSo+0OL64eelXGys8/o/TN1wFIO+d8ooYO2+99Vviq+HDHx3yS8zn1ZmO4iPREcFjGOCZmH0ZKZNJPvt62TKyyXMyizViFWzCLtmCV7dz7YR+3F1dyNu7kvrhS+uJO7oMrKRvDE1oXTJS2UXgRkR7t+wm7ztbhhLoN6yl46kkAEo87nviJR+7X/gprSnhpzWI+zfmCgNV4OnFaVC+Oyj6ccemj93q2kG3b2FXFmEWbMQs3YxVtwSzeCgH/nt8gPLoxnOwOKSl9ccWnY7Ry9Ea6D4UXEenRvp+w27PSi7+wkJyH5mMHAsSMPoSU085o976Kakt4d/sHfJH3JeauVWT7x/Xh2H6TGJ48pNlqt1ZdZWNAKdzcOKJStGXvc1TCInCn9sfdawCu1P64U/phxCT3uJ+T7J3Ci4j0aFYPPFXarKkhZ/5crOpqwvv1J33ape069bfcV8HbW5bwWd4yrF2hZWjSYH7RdxKDEwaAbWOV5eDP34hZsBGzYAN2ZeGeO3K5cSX3wZ06oCmsuBLSMRxY4l9Cg8KLiPRoTXNeekh2sQMBch9eQEN+Pp6kJLKmX40rvG2Lv1X7a3hv27/5OOczGnYdHhqRMoTfDDuWxKIK/Ju/pa7gVcyCTdCw5yUGXQkZuFIH4O7VH3fqAFzJvTHcYUF5f9IzKLyISI9m96BTpW3bpuC5Z6hbuwYjPIKsGdfiSUho9esbzAb+veMT3t32YdNE3AHeZH5pxdFv41bMpX+g+scXH/SE404biDttUOOt10CMcOevTC2hTeFFRHq0nnSqdNk7i6n85GMwDDIuu4Lw3r1b9TrbtvmqcBWvbXiDEn8lAJkNNscWVXBAbSEGsPs8IFdsCq7dQSVtcOOZP5pQK0Gm8CIiPVpPmbBbtXwZxf98CYDUqecQc9Con2xv2xZWaQ7btn/Bq6Vfs9loHGmJC5j8sriaUdU+XC43rl4DcKcNxpt5AMkHHkRVIFxXQpYOp/AiIj2atetztjtnl7rNm8l/4lEAEiYdQ+KkY/ZoY1smVskOzLy1mHnrqC5Yz7sxBp/HR2IbBh7L5siKeiaFZxF5wATcmUNw9xqAsev0Z4/HhSc2GspqOvW9Sc+k8CIiPdr3E3a7Z3ppKCkhd8H92A0NRI88iNTfTAV2jayUbMfMWU0gdy1m/npoqMcGVkWH82Z6DFWexsM9PwtL5eR+k0nNHKmJtdIlKLyISI/Wna8qbdbVkTN/HmZlJd6sbNJ+cxoNa/+DmbuGQO4a8DUfJSmNjOKNjGTWuhoPEaVGJnPWgacxJGmwE+WLtEjhRUR6tO56qrRtmuQtnI8/ZyeuiDAS+lRR98atzRuFReDOOBBXxlA+C2/gjfzPabB8eAw3v+g3iV/0OYowjbRIF6TwIiI9WndapM6uryaQuwYzdw0lH3xO7Y5acEHigAbcZgW4PLjTB+POHIonaxiu1H6U+Cp4bs1LbMjdDMABCQM568BTSYvu5fC7EWmZwouI9GihfKq0bQYwCzZg7vyWwM5vsYq3AzY1+VCzo7FN0sG9iBkzFnfmMNzpg5suWGjZFv/NWcqrm/6F3/TjdXs5bdAJTMgc3y2CnHRvCi8i0qNZITRh17Zt7IoCAjtXEdj5LWbuWgj4mrXxB5Ko3FEKQPIpp5B84il77KfcV8Gzq19kbdkGAAYnDODcob8mJTK5w9+DSDAovIhIj9bVrypt+2oaDwXt+JbAzlXY1SXNnjci43Bnj8CTPYIA8eTf/yDYEDdhIkkn/GqP/a0qXs2za16kpqGWMFcYvxr4S47MPqzZxRNFujqFFxHp0Zom7HaRGbu2ZWEVbSaw+1BQ4Wb44ZL7u+etZI/Ekz288bpAhotAeTl5d9yG7asncshQ0s49v9nhnwazgdc2LeY/Oz8FoHdMJr8dfrbmtkhIUngRkR6tK0zYtapLGg8D7VhFIGc1+GubPe9KyGgaXXFnDMEIa34hRcvnI+fB+wmUleJNzyDziukYnu//vOfXFPLkd38npzoPgEm9j+Dkgb8kzKWPAAlN+s0VkR7NiQm7uyfaBravxNzxDVZZbvMG3ig8WcOaAosrNqXlfVkWeY8/gm/bVtwxsWTOvBZ39PcXPlxe8DV/X/syftNPTFg05w09kxEpQzvqrYl0CoUXEenROmvCrlVT1jiysn0lgZzvoKH++ycNA1evgXh2h5XU/q2+mGHxP1+i5qsvMTweMq+aibdX42Eg0zJ5ddO/+PeOTwA4IHEQFw47i/jwuKC/N5HOpvAiIj1aR03YtS0Lq3ATgR3fENj+DVbJtmbPG5FxuHuPxNN7FJ7s4Rjh0S3sqWXlH/+HsnffBiDtt9OIHNy4Em6Fr5Invn2OTRVbAfhF36M5acCxmpQr3YbCi4j0aHYQrypt1VU2rrmy/RsCO1f9aPl9A1dqfzx9DsLTZxSulL4Y+xEmalZ/R+HfnwUg+eRTiDv05wBsLN/CE98+R6W/igh3BOcP+w2jUofvz9sS6XIUXkSkR9s9Ybc9h41s28Iq3tYYVnasxCrcAtjfNwiPbjwU1Psg3L1H4ooMziEbX24ueQ8vANMk9tDxJJ3UeEr0p7lLeWHdq1i2RWZ0OpeMPI9eUalB+Z4iXUmHhBfLsliwYAEvvfQSlZWVHHLIIdxyyy307dt3r+1fffVV/u///m+P7e+9916LrxERCYa2Tti1fTUEdn5HYMdKzB2rsOsqmz3vSu7TGFb6jMLda0Cr5660VqCqktz587Dq6ogYNJi0Cy/CxuaVDW/x4Y7/AnBIr1GcM/TXhLu9Qf3eIl1Fh4SXhQsX8sILL3DXXXeRlpbGfffdxyWXXMJbb72F17vnP6Z169Yxbtw45s6d22x7UlJSR5QnItLE3sfIi23bWGU7CWz/BnPHN5j5G5qvuxIWgSdrOO4+B+HpfRCu6MQOq9Vq8JO7YD4NxUWEpaaSedUMfIbF3755iu9K1gJwYv9fcFy/yVriX7q1oIcXv9/Pk08+yfXXX8+RRx4JwLx58zjiiCN4//33OeGEE/Z4zfr16xkyZAipqRreFJHOZVl7jrzYDfUEclZjbv+GwI5vsGtKm73GlZDZGFb6jMKdNhjD3fFH4G3bpuBvT1K/aSOuyEiyZl5LuaeBh1c8Rn5NAWGuMM4f9htG9zqow2sRcVrQ/8WtXbuWmpoaxo8f37QtLi6OYcOGsWzZsr2Gl3Xr1nHssccGuxQRkX3afdgowSrHv+rdxhGWvHVgBb5v5PbizhqKp/eu0ZW4zv+PVskbr1H1xefgdpN55QxyowM8vPwxqhtqiPfGcdlBF9A3rnen1yXihKCHl/z8fAAyMjKabe/Vqxd5eXl7tC8tLaW4uJhly5bx7LPPUl5ezqhRo7juuuvo379/u+vweIJ/SqDb7Wp2L+2jfgwO9eP+sc0GArnrSNv8GTfHryS1ugrf/75/3hXXi7C+owjrOwpP5pCmqzE7oeKzzyh983UAMs6/kG3pLh798hH8VgN9YrO48mcXkRgR71h9oN/HYFJf7lvQw0tdXR3AHnNbwsPDqaio2KP9+vXrAXC73dxzzz3U1taycOFCzj77bN58801SUlpeWbIlLpdBYmLb10xorbi4yA7bd0+ifgwO9WPrBSpLqN30JbUbV1C3ZRV2Qz1JAG4wcRHTbziRgw4hatBowpIyu8S8kcrVa8h98nEAsk47hU0j43hsxVNYtsXB6cOYddglRIRFOFzl9/T7GDzqy5YFPbxERDT+I/L7/U2PAXw+H5GRe/4gxo8fzxdffEF8/Pf/a3jooYc4+uijeeWVV7j00kvbXINl2VRW1u67YRu53S7i4iKprKzDNK19v0D2Sv0YHOrHfbMtC7NgIw3bVtKwbSVmyfZmzxtRCZTGDuaVjdF4+45g5vHjsIEagPLg/w1pK39BAVvuuBs7ECD2kDF8PDSKt5b/HYCfZ47hvGG/pq7apI6afeyp4+n3MXh6al/GxUW2erQp6OFl9+GiwsJC+vTp07S9sLCQIUOG7PU1PwwuAFFRUWRnZ1NQUNDuOgKBjvuBm6bVofvvKdSPwaF+bM6ur25c1XbHNwR27GWhuLSBjXNX+ozCldyHr7/N55s1a/iZ4e1S/WjW1LB97l8wq6sJ79uPjyak8t8tSwA4rt9kTuz/C2zLIGB1nZpBv4/BpL5sWdDDy5AhQ4iJiWHp0qVN4aWyspLVq1dz7rnn7tF+0aJFPPDAA3z00UdNIzXV1dVs3bqVM844I9jliUg3Y9s2Vsn2xmsG7fgGq3DT9+c/w/cLxfUZ1bhQXETsHq8HZ68q/WN2IEDuwwtoKMjHnZjER7/ozdKiFRgY/ObAUzgi6+dOlyjiqKCHF6/Xy7nnnsucOXNISkoiKyuL++67j/T0dKZMmYJpmpSWlhIbG0tERARHH300999/PzfccAMzZsygvr6euXPnkpSUxKmnnhrs8kSkG2g8lfk7zO0rCWz/Bru2vNnzrqTeePrsXihu4E8uFNdR1zZqL9u2KXjuaerWrsEID+fT4/qxtGYdbsPNb4efzc96jXS6RBHHdcjiBDNnziQQCHDzzTdTX1/P2LFjeeKJJ/B6vezcuZPJkydz1113cdppp5GRkcHTTz/NnDlzmDp1KrZtc/jhh/PMM880mzMjIj2bVZHfOLqyt1OZPd5dC8WNwtN7JK6Y5Nbvd/dVpV1dI72UvbOYyk/+C4bBF8f0Y6mxkzBXGJeMPJ/hyQc6XZ5Il9Ah4cXtdnP99ddz/fXX7/FcdnY269ata7Zt6NChPPHEEx1RioiEKDvgw8xdR2DnqsbRlcrmc+CMuF54+oxqPByUfkC7T2X+fuTF+fBStXwZxf98CYCVh2XzWXwZEe5wrhh1EYMS2r90hEh3owszikiXYNs2Vnke5o5VBHauwsxbC+YPRldcbtwZB+Lp3RhYjPi0oASO3XNenF5Ro27zZvKfeBSADcOT+U9fH9FhUVw1apoWnxP5EYUXEXGM7a9rXIZ/V2Cxq0uaPW/EJOPpPRJ39kg8WcMwvMFf98LqAhN2G0pKyF1wP3ZDA7m9Y3h7pIt4bywzfnYpGdFpjtUl0lUpvIhIp2k6M2jnKswdqzDzN4Jtft/A7cGdMQRP9sjGM4MSMjo8VDg9YdesqyNn/jzMykrKE8N5bXwECZGJXP2zy0iNav3cHZGeROFFRDqUXV9NYOe3uwLLt9h1zVfaNuLT8GSPxNP7INyZB2J4wju1PidHXmzTJO+Rh/Hn7KQu0sMrE2OIiUnimtGXkRKp4CLSEoUXEQkq2wxgFm7CzPmOwM5vsQq3AD9Yd8XjxZ05DE/vkY1nBsX1cqxW+H7kxeXApJeifyyi9ttvCLgNXpsYiycpWcFFpBUUXkRkv9i2jVWW2xhWcr7DzF0LAV+zNq7EbNy9RzSOrqQPxnCHOVTtnpom7HbyyEvZkvcp//ADbOCdw+JoyExVcBFpJYUXEWkzq7Ycc+d3jZNtc77bY5E4IyIWd+ZQ3NnD8WSPxBWT5EyhrWBZnX/YqHrl1xT9YxEAnxwcTemgNAUXkTZQeBGRfbIb6jHz1hHY+R1mzndYZTnNG7jDcKcfgCd7OO6s4biSe2MYTp983DqdPWHXt2M7eY8uBNvm24ERbDk4U8FFpI0UXkRkD7YZwCzajJm7BjNnNWbBRrB+cFYQBq6UvniyhuHOHoE7bVC7F4lzWmdO2A2Ul7Fz/jxsn58daWGsODyTa0ZfruAi0kYKLyKCbQWwirYSyF2DmbsWs2ADBPzN2hixKY1L8GcPx505dI8LHIaqpgm7HZxdLJ+PnfPvxywrozTOzb+PTmf6ITodWqQ9FF5EeiDbMrGKt+0KK2sw8zfsMcm2cd7KENyZQ/Fkj3D8rKCO0hkTdm3LIvexv+Lfvo3acIN3J/Xi0kMv0wJ0Iu2k8CLSA9iWhVWyDTN3bWNgyV8PDfXN2hjhMbgzDmycaJs5FFdiZpe43k9H64w5L0Uvv0jt118RcMG7RyZz7oTL6BOb3XHfUKSbU3gR6YbsgB+zaAtm/vpdt43QUNe8UXg0nowDcWc0jq64krJCZpJtMHX0nJeyj/5N+XvvAPDh+AROPuZSBib065DvJdJTKLyIdAN2fTVmwUbM/PUE8tdjFW0FK9C8kTcSd/qBeDJ3h5XeGE6szNbFWB14Vema776l8O/PYABLR8ZwxEmXMDTpgKB/H5GeRuFFJARZ1SX4CjdQVLqZmq2rsUp37tHGiIzHnXEA7vTGm8LK3n0/5yW4+/Xl5rJ94QO4LZu1fSMYcuZFjEodHtxvItJDKbyIdHF2wI9Vsh2zYFPjsvsFG7FrSvdo54pPbwwquwKLEZvaI+as7K+OmLAbqKpk07y78PgayE0NI/7csxmbMTpo+xfp6RReRLoQ27axq4obQ0rhJsyCTVgl2360xgpguHCn9iOm/3ACif0hdRCuyDhnig5xwZ6wazX42XD/3XjKqiiPcVF7zkkc339icHYuIoDCi4ijbH8dZvHWxpCyK7DYdZV7tDMi43D3Goir10DcvQbg7jWQsMhIEhOjKSurIRCwHKi+ewjmhF3bttn4yHzc23KpDzPYccZETht+0n7vV0SaU3gR6SR2gw+zZDtW8VbMoi1YxVuxyvO+/6//bi43ruS+uNMG4u7VeDNiU3QIqINYQRx52frys/D1t5gGrDnxIM447Dz93EQ6gMKLSAewAz6s4u2NoypFW3cFldw9gwpgxCQ3hRR32kBcyX1Cdqn9UBSsOS+5H79Hw7sfAvDtkf059bjpuF3u/a5PRPak8CKyn2x/HWbpjqawYhVtxSrP2XtQiUrAldIPd2rjzZXSD1dUQucXLU2aLg+wH6cblaxeScVzz+MG1oxK5YTfXI/XHRacAkVkDwovIq1k21bjZNqS7VglO7BKd2CW7MCuKtpreyMyHldqP9wpPwgq0YmdXLXsi90056V9r6/O20nuwvmEWzbb+sZwxLQbiQqLCmKFIvJjCi8ie2E31GOV7mwKKmbpjsa1VH60pP5uRnQSrqRs3Kn9caf0w5XaDyMqQfMdQsD+TNhtqK5iw1/uILrepCjZy4jpvycpKinYJYrIjyi8SI9mN9RjleViledileViluVgleViVxUDex72we3BlZiFK6k37uTeuJL74E7qjRER0+m1S3BYu07Uamt2sQMBVs29jZjyOqqi3KRPn0FGYu/gFygie1B4kR7B9tftEVCsshzs6pIWX2NEJeBK7o07qTeu5N64kvrgSkjDcOmfTXfSngm7tm3z9SP3ErO9CL/HwDXtLAb2HtlRJYrIj+ivsHQbtmVhVxdjVeRjVRRglec3Pi7P2+uKtLsZkXGNoykJmbgSd9+ytOhbD9GeRerW/PMpor9aj2VA6RlHM3HUlI4pTkT2SuFFQopt29h1FY3hpCIfqzwfe3dYqSzc82KEP2BEJTQGk4Rd4WR3UImI7cR3IF1NW0detv73XTzvfATAjqOHc8zk8zqsNhHZO4UX6XJsswG7qgSrqhCrqhirshC7qhirsgirsqDFSbNA45yUuHRc8Wm4EtJxxadjxKfjTszECI/uvDchIWP32sStmbBbuHYltc+9gAfYNjKDSWfN0qRsEQcovEins22bQFUZgbxtNJQXNIaSqiLsqiKsyiLsmjL2Oll2N8PAiElpCieu+LRd9+kYMUkYhq6cLK3X2lOlqwtzyX/oQSJMm9zesRx+xc1ahE7EIQovEnS2vw6ruhS7pqTxvnrXfU1p03252fDTO/GE44pNxRWXirHr3hWbihHXq3GbFgCTILGsfR82aqipZt1f/kxsXYDSRC8jZt5IlFcjeSJOUXiRVrNtGxrqsWrLsGsrsKtLsWpKG++rS3aFkxLw1+17Z4YLV0xSYzCJTcWITcG1O5jEpmJExGo4XjrFvibsWoEAX99/G/EltdREuEifPpOUxMzOK1BE9qDwIrtCSR1WTTl27fe3H35t1VZg15ZBwN+6nYZH44pOwohJwhWT3LiIW0wSRkwyYfEpJGdnU17p09WQxXE/NWHXtm2+enwO8VsKaXCDe9rZ9Os7orNLFJEfUXjppmzLxK6vxq6vxK6rwq6rxK7fdb/rZu3+ura89aEEwBuJKyqhcQXZmOSmUNIYVnZ9HRbR4svdHheG2wP49vt9iuyv768qvWd4+e71Z4ldvhYbqDh9Eof97JjOLU5E9krhJQTsHhmx62uwfTXYvurGYOKrabyvq9wVUnYHlCrs+mp+ctLr3ngjcUUlYkTFNwaTqARc0QkYu7a5onc95wnvkPcp4oSWJuxu/t8SPP9qvEp0zpHDOHqKTokW6SoUXjqRbTZg++vAX4vtr/s+fPhqfvS48Z4fPIfdnsMrBkZEDEZkLEZEHEZkXONcksi4xm2RjdsaR1EUSqRnsvZy2Khgwyrqnv47YTbsHJbOxLN1SrRIV6Lw0gZ2wE9DaSWBomICdbXY/lrw12HvDiM/DCZN279vg9nyAmqt4g5rDCPh0btuMbvCyY+Dya7HETEYOpVT5Cf9eMJuVVEeeQvmExWwKcyM4edX/QGPW38qRbqSDvkXaVkWCxYs4KWXXqKyspJDDjmEW265hb59++61fVlZGX/+85/5+OOPATjuuOO48cYbiYrqOpeVtxvqqXjh95TXVez/zsIiMLyRPwohjfeERzcPKBExjc+HR2N4vPv/vUWkGfsHV5VuqKtl7dw/E1/TQHl8GEOvuYlILW4o0uV0SHhZuHAhL7zwAnfddRdpaWncd999XHLJJbz11lt4vXt+AM+cOROfz8dTTz1FZWUls2fP5k9/+hP33HNPR5TXPoYLV1Q8lumDsEgMbyR4oxpDSFgkhjcKvI3bDW8URnhU8za7thMWieHSImoiXUXTyAsWXz7wJxKLaqgLd5E2fQbJSTolWqQrCnp48fv9PPnkk1x//fUceeSRAMybN48jjjiC999/nxNOOKFZ+6+++oovvviCxYsXM3DgQABuu+02Lr74YmbNmkVaWlqwS2wXw+Ml7jd/JjExmrKyGp3iK9JN7J7zUrnkSbI3FmC6wPPbqfTtf5DDlYlIS4I+BLB27VpqamoYP35807a4uDiGDRvGsmXL9mi/fPlyUlNTm4ILwLhx4zAMgxUrVgS7PBGRZmwbfhZYRvbX6wGoPHUSw8foKtEiXVnQR17y8/MByMjIaLa9V69e5OXl7dG+oKBgj7Zer5eEhIS9tnfSsn/8C39eLoGA1XScXNrOMAw8Hpf6cT+pH4NjYGkhI/I3ApA/YSgTf3m+wxWJyL4EPbzU1TUuDf/juS3h4eFUVOw52bWurm6v82DCw8Px+dq/iJnHE9xBpfLCEqLf/geauifSvfTadb9zUCqTL7oBt+aktYvb7Wp2L+2nvty3oIeXiIjGlVX9fn/TYwCfz0dkZORe2/v9e67u6vP52n22kctlkJgY3JiRmBjNluPPpHrb9qDuV0ScYdkB8q2NBGwfgbgEpl1zJ7ExcU6XFfLi4vb8Oy/to75sWdDDy+5DQIWFhfTp06dpe2FhIUOGDNmjfXp6OkuWLGm2ze/3U15e3u7JupZlU1lZ267X/pQxU08mLi6Syso6TFMTdtvL7XapH4NA/dh+DVaA+SseZX2Zl6SIXtz1i//DbgijrKzG6dJCln4fg6en9mVcXGSrR5uCHl6GDBlCTEwMS5cubQovlZWVrF69mnPPPXeP9mPHjmXOnDls27ataR2YpUuXAjB69Oh219GRZwOZpqWzjYJA/Rgc6se2sW2bZ9a8yPqyzUS4w5n+s2kkRsZTVq+zCINBv4/Bo75sWdDDi9fr5dxzz2XOnDkkJSWRlZXFfffdR3p6OlOmTME0TUpLS4mNjSUiIoJRo0YxevRorr32Wm699VZqa2u55ZZbOOWUU7rMadIi0n28vXUJX+R/ictwcfGI88iKzdj3i0SkS+mQ2UAzZ87kjDPO4Oabb2bq1Km43W6eeOIJvF4veXl5TJgwgcWLFwONZ0wsWLCA7OxsLrjgAq655homTpzIrbfe2hGliUgP9kX+l/xry/sAnHXAqQxNPsDhikSkPQy7G55jaZoWpaXBP3bt8bi0SF0QqB+DQ/3YNhvKNvPg149h2iZT+hzFKYOOB9SPwaJ+DJ6e2pdJSdGtnvOi87BEpNsrqCnk0VVPY9omP0sdyckDj3O6JBHZDwovItKtVfmrWbjySWoDdfSP68P5w87CZehPn0go079gEem2/GYDf/3mKYrrS0mJSOKygy7E6w5zuiwR2U8KLyLSLVm2xdOrX2Br5XaiPJFcOeoiYr0xTpclIkGg8CIi3dJrmxbzddEqPIabS0deQFp0r32/SERCgsKLiHQ7H+/8jA+2fwzAuUPPZHDiAIcrEpFgUngRkW7l2+I1vLj+dQBOGnAsY9N/5nBFIhJsCi8i0m3sqMrhie/+jo3NzzPGcmzfSU6XJCIdQOFFRLqFsvpyHl75JH7Tz5DEwUw98DQMw3C6LBHpAAovIhLy6gL1LFz5JBX+KjKj07l45Lm4XW6nyxKRDqLwIiIhLWAFeGzVM+TW5BPnjeWKUb8l0hPpdFki0oEUXkQkZFm2xbNrXmRd2UbC3V6uGPVbkiISnS5LRDqYwouIhKzXNi5mecHXuAwXl4w8nz6x2U6XJCKdQOFFRELSB9s/5oMdjWu5nDf0TIYmHeBwRSLSWRReRCTkLM//ilc2vgXAKQOPZ1z6aIcrEpHOpPAiIiFlbekGnlnzIgBHZ0/gmD5HOlyRiHQ2hRcRCRk7qnJ4bNUzmLbJ6F4HcdrgE7WWi0gPpPAiIiGhuK6Uh1Y+Qb3p44CEgZw/7Cxchv6EifRE+pcvIl1epb+Kh75+nCp/NVkxGVx60PmEuTxOlyUiDlF4EZEurbahlgVfP05hXTFJEYlcOeoiLUIn0sMpvIhIl+Uz/Sxc+TdyqvOI9cYw4+BLSAiPd7osEXGYwouIdEkNVoBHv3maLZXbiPREMuPgS+gVleJ0WSLSBSi8iEiXY1omT323iLVlG/C6vVw16iKyYjKcLktEugiFFxHpUizbYtHaf/J10bd4DDeXjbyA/vF9nS5LRLoQhRcR6TJs2+aVDW/xef5yXIaL3444hyFJg50uS0S6GIUXEeky3tryHv/e+QkA5w75NQenjnC4IhHpihReRKRLWLzlfd7Z+gEAvx78Kw7NOMThikSkq1J4ERHHvbP1A/615X0ATh10Akf1PtzhikSkK1N4ERFHvbf137y5+V0AfjXwl7rQoojsk8KLiDhmyfaPeH3z2wCcNOA4ftH3aIcrEpFQoPAiIo74cMd/eXXjvwA4of8Ujus3yeGKRCRU6MpmItLpPtj+Ma9sfAuAX/abzPH9pzhckYiEEoUXEek0tm3zztYPeWtL4xyXY/tO4oT+v3C4KhEJNQovItIpbNvmjc3v8N62fwNw0oBjOa7fZIerEpFQpPAiIh3Otm3+ueHNpgXoTht0IpP7THS4KhEJVQovItKhLNvihXWv8mnuUgB+c8CpTMz+ucNViUgoU3gRkQ5jWibPrnmJZQVfYmBwztBf8/OMMU6XJSIhLujhxefzcffdd/POO+9QX1/PEUccwS233EJycnKLr1mwYAEPPvjgHtu/++47PB7lK5FQ5DP9PPHtc3xXshaX4eLCYWdxSNrBTpclIt1A0JPBrbfeyooVK3jwwQfxer3ccsstXH311Tz33HMtvmbdunX86le/4vrrr29enIKLSEiqbqjh4ZV/Y2vldsJcYUwbcQ4jU4Y5XZaIdBNBTQcFBQW89tprPPLII4wZ0zg0PHfuXI477ji+/vprDj744L2+bv369UydOpXU1NRgliMiDiitL2PB109QUFtIlCeSK0ZdxID4vk6XJSLdSFBX2F2xYgUAhx56aNO2/v37k5aWxrJly/b6mrq6OrZv386gQYOCWYqIOCC3Op+/rFhIQW0hCeHxzDrkSgUXEQm6oI+8JCYmEh4e3mx7r169yMvL2+trNmzYgGVZvPPOO9x22234/X7GjRvHddddR69evdpdi8cT/CsfuN2uZvfSPurH4Ohq/bimZD2PrHyGukA9GdFpXH3IJSRGJDhd1j51tX4MVerH4FFf7lubwsvOnTuZPLnlRaWuvvpqvF7vHtvDw8Px+Xx7fc2GDRsAiI2NZf78+RQXFzN37lzOP/98Xn31VSIjI9tSIgAul0FiYnSbX9dacXFtr0n2pH4Mjq7Qj0s2fcLjXz6PZVsMSRnIDROuICa84/4NdoSu0I/dgfoxeNSXLWtTeElLS2Px4sUtPv/RRx/h9/v32O7z+VoMIaeffjrHHHMM8fHxTdsGDx7MkUceyb///W+OP/74tpQIgGXZVFbWtvl1++J2u4iLi6Sysg7TtIK+/55C/RgcXaEfLdvi1Q2LeW/rfwAYlzGa84efSUMtlNXWOFJTW3WFfuwO1I/B01P7Mi4ustWjTW0KL2FhYQwcOLDF59etW0d5eTl+v7/ZCExhYSHp6ektvu6HwQUaQ1JCQgL5+fltKa+ZQKDjfuCmaXXo/nsK9WNwONWPftPPU6tfYGXRt0DjlaF/2e8YDMsgYIXez1W/j8Ghfgwe9WXLgnpA7ZBDDsGyrKaJuwCbN2+moKCg6eyjH/vLX/7C8ccfj23bTdt27txJWVmZJvGKdFGl9WXM/fJhVhZ9i8dwc+GwqRzffwqGYThdmoj0AEENL2lpaZxwwgncfPPNLF26lG+++Ybf/e53jBs3ruk0ab/fT1FRUdPhpeOOO44dO3Zw++23s2XLFpYtW8aMGTMYPXo0RxxxRDDLE5EgWF+2iXuWzWdHVQ4xYdHM/NlljE3/mdNliUgPEvSpzLfffjs///nPmT59OtOmTWPAgAHMnz+/6fmvvvqKCRMm8NVXXwEwfPhwHn/8cdasWcNpp53G9OnTGTp0KH/961/1vziRLsS2bf694xMe/Poxqhtq6B2bxQ1jZjIwoZ/TpYlID2PYPzxe002YpkVpafAnC3o8LhIToykrq9FxyP2gfgyOzuxHv9nA8+v+yRf5XwIwNm00Zw85Ha87rEO/b2fQ72NwqB+Dp6f2ZVJSdMdM2BWRnqegtognvn2OnOo8XIaL0wadyFHZh2tkVEQco/AiIi1alv8Vz6/7Jz7TT0xYNNNGnMMBiZpILyLOUngRkT34TT8vrX+dz/IaL+sxOGEAFw6fSkJ4/D5eKSLS8RReRKSZvJoCnvz27+TW5GNgcFy/yRzf/xhchpYqF5GuQeFFRIDG1XL/s/NTXt/0NgErQKw3hguHTWVI0mCnSxMRaUbhRUQorS/j2TUvsb5sIwBDkw7gvKG/IT481uHKRET2pPAi0oPZts0X+V/y4vrXqTfr8brCOHXQiRyRNV5nE4lIl6XwItJDlfsq+Me61/im+DsA+sX14YJhv6FXVKrDlYmI/DSFF5EexrItPs1dymsb36berMdluDi+3xR+0fco3C630+WJiOyTwotID5JfU8Citf9kU8VWoHG05ewhp5MVk+FsYSIibaDwItID+E0/7277N0u2/YeAbeJ1ezl5wHEcmX2YToEWkZCj8CLSjdm2zZeF3/Dqxn9R5isHYHjyEM468FSSIhKdLU5EpJ0UXkS6qZzqPF5a/zobyjcDkBSRyGmDTuTg1BE6k0hEQprCi0g3U+GrZPGW9/ksbxmWbRHm8jClz1FM6XsUXrfX6fJERPabwotIN1EXqGPJto/4cMd/8VsNABycOoLTBp1IcmSSw9WJiASPwotIiGswG/j3js94Z+sH1DTUAtA/ri+nDDqeQQn9Ha5ORCT4FF5EQpTfbGDx+g95dfW7VPgqAUiL6sWvBh7HQSnDNa9FRLothReREOMz/XyS8zlLtn9Epb8KgMTwBH7ZbzLjM8ZooTkR6fYUXkRCRLW/ho9zPuOjnZ9R3VADQGp0Msf2PZqxvUbjcemfs4j0DPprJ9LFFdQU8uGO/7I0fwUNVgCAlIgkjh94DMcNm0hVRT2BgOVwlSIinUfhRaQLsmyLNaUb+G/OZ6wqXtO0vU9sNpP7TORnqSMJ94bh0SEiEemBFF5EupBKfxX/y13Gp7lfUFJfCoCBwYiUoUzuPZFBCf01EVdEejyFFxGHWbbF+rJNfJq7lJVF32HaJgCRnkjGpx/CEVnjSYvu5XCVIiJdh8KLiENyqvP4Iv9Llhd8Tbmvoml7/7g+TMgaz+heB2lFXBGRvVB4EelEpfVlrChYybKCr8ipzmvaHuWJ5JC0g5mQeSjZsZkOVigi0vUpvIh0sILaIlYWfsvXRd+yrWpH03aP4WZEylDGpo9mePIQwnSqs4hIq+ivpUiQWbbF9qqdfFu8lq+LVpFXU9D0nIHBgPh+jEv/GT/rdRDRYVEOVioiEpoUXkSCoNJfxZqS9awuXcea0vVN1xgCcBkuDkwcxMGpIzgodThx3lgHKxURCX0KLyLtUB+oZ3PFNjaUb2ZN6Xp2VOU0ez7CHcGQpEEclDKckSlDidIIi4hI0Ci8iLRCbUMdmyq2sKF8MxvLtrCjOgfLbr6qbe/YLIYlHciw5APpH9dH1xgSEekgCi8iP2JaJjk1eWyr3MHWyh1sq9xBfk0hNnazdskRSQxK6M+BiYMYknQA8eE6HCQi0hkUXqRHa7ACFNQUklOdx/aqnWyr3MGO6lwCu64h9EO9olIYnDCAQQkDGJwwgMSIhM4vWEREFF6kZ7Bsi3JfBbnV+eRU55Fb03hfUFu0x+EfaFx3pW9cb/rG9abfrntNtBUR6RoUXqRbqW2oo6C2iMLaIgrripseF9UW47ca9vqaKE8kmTHpZMdk0i+uD33jepMamaxrCImIdFEKLxJS6gM+SuvLmm4lTY/LKa4robqhpsXXugwX6VG9yIxJJysmg8zoxvuE8HgFFRGREKLwIl2CaZlUNVRT6auiwl9Jha+SCn8VFb5KKv2VlPsqKa0royZQu899xXvjSItKpVdUCr2iUpseJ0ck6QwgEZFuoEPDy+zZszFNk7vvvvsn2+3cuZPbb7+dZcuWERERwamnnsqsWbNwu/VBE6oazAaqG2qobqilpqGGmh88rjXr8FNPWU0lVb5qKvxVVPmr9zibpyVRnkiSIhJJjkgkKSKRpMjEpq9TI1OI8IR38LsTEREndUh4MU2TOXPm8PLLL3Pqqaf+ZNuGhgamTZtG//79eeGFF9i+fTuzZ88mPDycmTNndkR58hNMy8Rv+fGbDfhMP/VmPfUBH3WBeuoD9dTtutWb9c227f66LlBPbUNti/NLforLcBEbFkN8eCzx4XHEeeOI9zY+jg+PawwqEYlEeiI64J2LiEioCHp42bRpEzfeeCM7duwgM3PfV8d99913yc3N5aWXXiIuLo4DDjiAkpIS7r33Xi6//HK8Xm+wS+zyLNsiYJkErAABO9B4bwX22Naw++tdN9M2m7Vt2NXOZ/ppMP34rYZdjxvvG0NKY1DZHVhM2wza+3AZLmLCookOi9p13/g4LjyG1PhE3IEwIlwRTUEl1huNy3AF7fuLiEj3FPTw8sUXXzB06FAefvhhrrnmmn22X758OcOHDycuLq5p2/jx46murmbt2rUcdNBBwS6x3f69/ROKNhZTV++jwTSxbBPLtrBsC3PXfeNj8wfbzB8994PHVvN2ux+39vBJRzIwCHd7CXeHE+mJINITQcSuW6Q7Ys9tu7ZHeMKJ8kQR440iwh2x14mwHo+LxMRoyspqCAT2PE1ZRETkpwQ9vEydOrVN7fPz80lPT2+2rVevXgDk5ua2O7x4PMH9H3y1v4YX1r4W1H22lsflwePyEGa4mx57XD98vOtmuAn78TaXh3C3F6/bi9cd1vQ43O3F6wrbtX3X1+7vv/YY7g47A8ftdjW7l/ZRPwaH+jE41I/Bo77ctzaFl507dzJ58uQWn//kk09ITU1tUwH19fXNRl0AwsMbJ1z6fL427Ws3l8sgMTG6Xa9tSSLRzDrsEnKrCnAZLtyGG7fLhctw4XG5cRlu3IZr17bG59xG4+PG5127tu1+3Nje5XLhMdy4dn3duK0xhIS5PLhdHRcinBYXF+l0Cd2C+jE41I/BoX4MHvVly9oUXtLS0li8eHGLzyclJbW5gIiICPx+f7Ntu0NLVFT7rsRrWTaVlfs+pbathsUPZXzv0VRW1mGaQTjcYQPm3jeZmNT/+Mluwu12ERcXGbx+7KHUj8GhfgwO9WPw9NS+jIuLbPVoU5vCS1hYGAMHDmxXUS1JT09n/fr1zbYVFhYCjWGpvTpyLoVpWpqrEQTqx+BQPwaH+jE41I/Bo75smeMH1MaOHcvq1auprq5u2va///2P6OhohgwZ4mBlIiIi0hV1enjx+/0UFRU1HSo65phjSE1N5ZprrmHt2rUsWbKEefPmcdFFF/XI06RFRETkp3V6ePnqq6+YMGECX331FdA4Offxxx/HsizOPPNM/vSnP3H22Wdz5ZVXdnZpIiIiEgIM27adX1QkyEzTorS05Qv0tZfWJwkO9WNwqB+DQ/0YHOrH4OmpfZmUFN3qCbuOz3kRERERaQuFFxEREQkpCi8iIiISUhReREREJKQovIiIiEhIUXgRERGRkKLwIiIiIiFF4UVERERCSrdcpM62bSyrY96W2+3qUVf57Cjqx+BQPwaH+jE41I/B0xP70uUyMAyjVW27ZXgRERGR7kuHjURERCSkKLyIiIhISFF4ERERkZCi8CIiIiIhReFFREREQorCi4iIiIQUhRcREREJKQovIiIiElIUXkRERCSkKLyIiIhISFF4ERERkZCi8CIiIiIhReFFREREQorCSzts376dK664gjFjxjBmzBiuvfZa8vPznS4r5OTl5TFr1iwOP/xwxo4dy7Rp09iwYYPTZYW02bNn83//939OlxEyLMti/vz5HHHEEYwaNYqLLrqIbdu2OV1WSFu4cCHnnXee02WEpPLycv74xz8yceJERo8ezdSpU1m+fLnTZXVJCi9t5PP5uPDCCwF4/vnnefbZZykqKuKyyy7Dtm1niwshfr+fSy+9lJKSEh555BEWLVpEbGwsF1xwAaWlpU6XF3JM0+See+7h5ZdfdrqUkLJw4UJeeOEF/vznP/OPf/wDwzC45JJL8Pv9TpcWkp566inmz5/vdBkha9asWaxcuZK5c+fy8ssvM3z4cKZNm8amTZucLq3LUXhpo9zcXEaOHMkdd9zB4MGDGTp0KBdeeCFr166lrKzM6fJCxvLly1m/fj333nsvI0aMYPDgwdx7773U1tby4YcfOl1eSNm0aRNTp07ltddeIzMz0+lyQobf7+fJJ59kxowZHHnkkQwZMoR58+ZRUFDA+++/73R5IaWgoICLL76YBx54gP79+ztdTkjatm0bn376KbfccgtjxoxhwIABzJ49m7S0NN566y2ny+tyFF7aqH///jzwwAMkJSUBsHPnThYtWsTw4cNJTEx0uLrQMXjwYB599FHS0tKabbdtm4qKCoeqCk1ffPEFQ4cO5a233iI7O9vpckLG2rVrqampYfz48U3b4uLiGDZsGMuWLXOwstDz3XffER8fzxtvvMGoUaOcLickJSYm8uijjzJixIimbYZh6G9iCzxOFxDKLrroIj799FPi4+N5+umnMQzD6ZJCRmpqKkceeWSzbc888ww+n4/DDz/coapC09SpU50uISTtnqeWkZHRbHuvXr3Iy8tzoqSQNWnSJCZNmuR0GSEtLi5uj7+Jb7/9Ntu3b2fChAkOVdV1Kbz8yM6dO5k8eXKLz3/yySekpqYCcP3113P11Vfz8MMPc+GFF/Laa6/t8Yewp2pLPwK89957zJs3j/POO48hQ4Z0Rokhoa39KK1XV1cHgNfrbbY9PDxc/9MVx61YsYKbbrqJyZMnKxjuhcLLj6SlpbF48eIWn999uAhg6NChAMybN4+jjjqKf/7zn0yfPr3DawwFbenH559/nttvv53jjz+eG2+8sTPKCxlt6Udpm4iICKBx7svux9A4KT8yMtKpskRYsmQJ1113HaNGjWLu3LlOl9MlKbz8SFhYGAMHDmzx+ZycHL799luOPfbYpm2RkZFkZ2dTWFjYGSWGhH31425z5szhscce47zzzmP27Nk69PYjre1Habvdo6SFhYX06dOnaXthYaFG/8Qxzz33HHfccQdTpkxhzpw5e4wMSiNN2G2jNWvWMHPmTLZv3960rbKyki1btuhDpo3uu+8+HnvsMW644QZuvvlmBRfpVEOGDCEmJoalS5c2bausrGT16tWMGTPGwcqkp1q0aBG3334755xzDvfff7+Cy0/QyEsbTZw4kQMPPJAbbriBP/zhD9i2zX333UdiYiKnn3660+WFjKVLl/L4449z3nnncfLJJ1NUVNT0XFRUFNHR0Q5WJz2B1+vl3HPPZc6cOSQlJZGVlcV9991Heno6U6ZMcbo86WG2bNnCnXfeyZQpU7jssssoKSlpei4iIoLY2FgHq+t6FF7ayOv18vjjj3PPPfcwbdo0/H4/EyZM4O677yYmJsbp8kLG7nULnn32WZ599tlmz02fPp0ZM2Y4UZb0MDNnziQQCHDzzTdTX1/P2LFjeeKJJ/Q/Xul07777Lg0NDbz//vt7rDN06qmncvfddztUWddk2FoWVkREREKI5ryIiIhISFF4ERERkZCi8CIiIiIhReFFREREQorCi4iIiIQUhRcREREJKQovIiIiElIUXkRERCSkKLyIiIhISFF4ERERkZCi8CIiXdoHH3zAgQceyIMPPti0bcuWLRx88MH8/ve/d7AyEXGKrm0kIl3e73//e/71r3/x+uuv069fP84++2yKiop44403dEFUkR5I4UVEurzKykpOPPFE+vbtyxFHHMH999/PM888w5gxY5wuTUQcoPAiIiHh448/5pJLLsHlcnHppZdy7bXXOl2SiDhEc15EJCT8/Oc/JyMjA8uymDRpktPliIiDFF5EJCQ89NBDFBcXM3DgQG6++Wb8fr/TJYmIQxReRKTLW7VqFY899hiXX345f/nLX9i8eXOzs49EpGfRnBcR6dL8fj+nnnoqhmHwyiuv4PV6ueeee3j66ad5/vnnGTVqlNMlikgnU3gRkS7t3nvv5W9/+xvPP/88Bx98MAB1dXWceOKJhIWF8frrrxMeHu5skSLSqRReREREJKRozouIiIiEFIUXERERCSkKLyIiIhJSFF5EREQkpCi8iIiISEhReBEREZGQovAiIiIiIUXhRUREREKKwouIiIiEFIUXERERCSkKLyIiIhJSFF5EREQkpPw/HahbPYrxcI8AAAAASUVORK5CYII=", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df[300:850].plot(x='x', y=['binary', 'sigmoid', 'tanh', 'relu'])" ] }, { "cell_type": "code", "execution_count": 87, "id": "aa0ca15b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Axes: xlabel='x'>" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df[400:750].plot(x='x', y=['relu', 'elu', 'selu', 'gelu', 'swish'])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 5 }