diff --git a/notebooks/train-dataset-size-analysis.ipynb b/notebooks/train-dataset-size-analysis.ipynb index 6679e23..30ee336 100644 --- a/notebooks/train-dataset-size-analysis.ipynb +++ b/notebooks/train-dataset-size-analysis.ipynb @@ -4,12 +4,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The following code trains and tests models on the Cat Recognition dataset with varying Train Dataset Sizes, and then plots a graph of Test Prediction Accuracy against Train Dataset Size." + "The following code trains and tests models on the Cat Recognition dataset with varying Train Dataset Sizes, and then plots graphs of Test Prediction Accuracy against Train Dataset Size and Training Time against Train Dataset Size." ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -25,14 +25,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "Regression Line Gradient: 0.18\n" + "Test Prediction Accuracies Regression Line Gradient: 0.18\n", + "Training Times Regression Line Gradient: 0.08\n" ] }, { "data": { - "image/png": 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", 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18Ean+qLFwkexRNWct0yKLePbwaeGFPfTshGvyIGHky1uJGXg3uNs+LraY8v4dvCWScUOlYjIJP0QeQeRt1IgtbbE4iGBsLQQr08yEzsigtxFimGtfbTvH6arcD/t36RO7sKkjoioOLceZeDzf7qvzHrJD3VFnm6RiR0R4VK8AssPFp2DdOmwQCZ1REQlyFdrMHVbDHLyNOjQ0A2vtq0jdkhM7IiquwxVPt7ZdA65+RrYWes2CVPCYxCfll3CnkRE1dvav2/hXFwanGytsGhwICxEfARbiIkdUTUmCAI+2nkBt5IzYWkhQU6eBr6u9tg+IQS+rvaIS83C8LVRTO6IiJ5yJUGJpf/MzDPnFX/UMpGnG0zsiEzQ0+PKPSlBkQ1lTp5BPmfbmfvYFR0PAFBrBG2fulZ1XLFlfDud5K6keIiIqpvcfA1Ct8YgTy2gW1NPDDahmXmY2BGZmMJx5YatKXqnLD4tG8PWRGHMupMVTu5uJKVjzj/T3njL7IoUSshdpNrkzs3RBg62HB2JiAgAvj54A1cSlKhhb43PBprWzDxsqYlMzJPjyg1fG6VNtuLTsjF8bRTiUrO025V3XLnsXDUmbjqLnDwNOjWqia9HBCM7T11kSBO5ixThb7aDg60Vx7AjIgIQfS8N3xy+CQBY0L8FPJzsRI5IF+/YEZmYwnHlnnwMeuZuqjapM8S4cvP2XML1pAy4O9liydAguNjblHg8b5mUSR0REYCcPDVCt0ZDrRHQN1COPgHeYodUBBM7IhP05GPQuNQsDFoVqZPUVWQIkt3RD7Dl1D1IJMBXw4Lg7mRrwMiJiMzXF39cw61HmXB3ssX8fs3EDqdYTOyITJTcRYqlwwJ1llV0XLnbyZn4YMcFAMA7LzZC+4Y1KxQjEVF1EXUrBeuO3QYALBoUABd7G5EjKh4TOyITFZ+WjSnhMTrLnjWuXGnVtHdSMjDhxzPIzFWjbT1XvNe1kUHjJSIyVxmqfEzbFgNBAIa39sELfh5ih1QiJnZEJujJQomyjiv3rGral5cfw9XEdNSwt8ZXw4NFncuQiKgq+fTXK7j/OBu1XKT4sE9TscMpFRM7IhOToMguUihRlnHlnq6mLUzu4tOy0XfFUWSo8gEAs1/2h5fMtKq4iIhM1aFrD7H5ZBwA4MshgXAy8WIyJnZEJsbB1gpujjZ6jytXUjXt4FXHkZyRCwAY1dYXA1uazkCaRESmLC0rFzN/Pg8AeL1DXYQ0cBM5omeTCIIgiB2EMSmVSshkMigUCjg7O4sdDlGZKHPykKnKL3YIkgRFdqnjyj093l2hZnJn7JrYAdaWVfd6jt/nsuPPiqjiJm85h13R8ahf0wG/vtsJUhtLUeLQ5/tcdVt4IjPmbGdd7nHliqumdbCxxJr/tKrSSR0RUWX6/UICdkXHw0ICLB4aKFpSpy+28kRmprhqWqmNJSxMaMobIiJT9ihdhQ93FUy5OKFLAwT71hA5orJjYkdkRp58DFtY9Opoa4XkjNwSq2mJiOhfgiDgw50XkJqZCz8vJ7zXtbHYIemFiR2RmXiymtbWygIaAWheyxl73+lYajUtERH9a8fZB/jzchKsLSVYMjQINlZVK1WqWtESUYkKq2md7aygytfA0dYKK0a0RN2aDqVW0xIRUYH4tGzM3XMJADC5W2P4y6te4RFbeCIz4WxnjQmdG+DN/50BAHw2sAXq1nQAUFBQEf5mu1KraYmIqjNBEDBz+3mk5+QjyMcFbz5fX+yQyoWJHZGZeJiegw92XoQAYEQbX/QNlOusL6nKloiIgB9PxOHvG8mwtbLA4qGBsKqiowhUzaiJSIdaI2BKeDSSM1Ro4umEj1/xr5TPLW1u2gRFNpQ5eZUSBxFRRdxNycRnv14BAMzs5YcG7o4iR1R+TOyIzMCqw7E4FpsCqbUlVo4Khp218cdbetbctMPWRGHMupNM7ojIpKk1AqZujUF2nhrt6rvitfZ1xQ6pQpjYEVVxJ2+nYsn+6wCAT/o3R0MPp0r53NLmpi2szk3JyEXmP3PUEhGZou+P3sLpu4/haGuFLwYHwsKiao/5ycSOqApLzczFu5vPQSMAA1vWwuBWlTcPbElz0xYmdYVz3bJvHxGZqutJ6fjyj4IL49kvN4WPq73IEVUcEzuiKkqjETBtWwwSlTmo7+6AT/o1r/QY5C66yd2gVZE6SZ3chUkdEZmmPLUGoVujkavW4IUm7hj6nI/YIRkEEzsiIzNWgcH3R2/j4NWHsLGywMqRLUUbn664uWmXDgtkUkdEJm3loVhcfKCETGqNzwcFQGIm0y4ysSMyImMVGJyLe4yF+64CAD5+xR9NvcUbRLO4uWmnhMdw+jIiMlkX7iuw4mAsgIK+yZ7OdiJHZDhM7IiMyBgFBoqsPEzadA75GgF9Arwxso2vscJ/pifPw9fVHtsnhOj0uWNyR0SmJidPjdCt0QVtaAtvvBLgLXZIBsXEjsiIDF1gUDgy+oO0bPi62iNsYAvRHh88OTdt4Xm0quNa5Hw5Ny0RmZIl+6/jxsMM1HS0xSf9m5vNI9hCTOyIjMyQBQb/i7qLfZcSYW0pwYqRwaJOD1Y4N+3T5/Hk+XJuWiIyJafupOLbv28BAMIGtoCrg43IERkeEzuiSmCIAoOLDxRYsLdgZPRZvZsioLaLIUPUm7OdNTaObYPwN4smp4Vz024c28bs56YNCwtD69at4eTkBA8PD/Tv3x/Xrl3T2SYnJwcTJ06Em5sbHB0dMWjQICQlJZV6XEEQMGfOHHh7e0MqlaJbt264ceOGMU+FyKxlqvIxdWsMBAEY3Ko2uvt7ih2SUTCxI6oEFS0wyFDlY9Kms8hVa9CtqSde71DXCFHqz9nOusTHyN4yqdkndQBw5MgRTJw4EVFRUdi/fz/y8vLQo0cPZGZmareZMmUK9uzZg23btuHIkSOIj4/HwIEDSz3uokWLsHz5cqxevRonTpyAg4MDevbsiZycHGOfEpFZCvv9CuJSsyCX2WFOJU27KAaJIAiC2EEYk1KphEwmg0KhgLOzeJWDVH09XWCwdFggpoTHlPlxrCAIeG9LNH6JiYdcZoff3usEF3vze3xQFlXh+/zo0SN4eHjgyJEjeP7556FQKODu7o5NmzZh8ODBAICrV6+iadOmiIyMRLt27YocQxAEyOVyTJ06FdOmTQMAKBQKeHp6YsOGDRg+fPgz46gKPyuiyvLX9UcYve4kAOCn/7ZFh4Y1RY5IP/p8n3nHjsiIDFFgsPX0PfwSEw9LCwm+HhlcbZO6qkKhUAAAXF1dAQBnzpxBXl4eunXrpt3Gz88Pvr6+iIyMLPYYt2/fRmJios4+MpkMbdu2LXEfIiqeIjsPM34+DwAYE1KnyiV1+hI1satbty4kEkmR18SJEwGUr18KkSmpaIHBtcR0fPzLJQDA1B6N0aqOa6XFTvrTaDSYPHkyOnTogObNC2YCSUxMhI2NDVxcXHS29fT0RGJiYrHHKVzu6anbB6i0fVQqFZRKpc6LiIB5ey4hUZmDum72mNnbT+xwjE7UcrVTp05BrVZr31+8eBHdu3fHkCFDABT0S/n111+xbds2yGQyTJo0CQMHDsSxY8fECplIL4UFBpmq/CJ90QoLDBxsrYrti5aVW9CvLidPg+cbu+Ot5xtUVthUThMnTsTFixdx9OjRSv/ssLAwzJs3r9I/l8iU/XEpETvOPoCFBFg8NBD2NuZfpS/qHTt3d3d4eXlpX3v37kWDBg3QuXNnKBQKfP/991iyZAlefPFFtGrVCuvXr8fx48cRFRUlZthEeilvgcHcXy7hxsMMeDjZYsnQQFhYmNdYS+Zm0qRJ2Lt3Lw4dOoTatWtrl3t5eSE3NxdpaWk62yclJcHLy6vYYxUuf/oJRWn7zJo1CwqFQvu6d+9eBc6GqOpLyVDhgx0XAADjn29QbZ54mEwfu9zcXPz4448YO3YsJBJJufqlAHwcQeZh57n72Hr6PiwkwFfDg1HT0VbskKgEgiBg0qRJ2LlzJw4ePIh69erprG/VqhWsra0RERGhXXbt2jXExcUhJCSk2GPWq1cPXl5eOvsolUqcOHGixH1sbW3h7Oys8yKqrgRBwIc7LyIlMxdNPJ0wpXsjsUOqNCaT2O3atQtpaWl47bXXAJSvXwpQ8DhCJpNpXz4+PkaMmsjwbj3KwIc7LwIA3u3aCCEN3ESOiEozceJE/Pjjj9i0aROcnJyQmJiIxMREZGcXFMTIZDKMGzcOoaGhOHToEM6cOYPXX38dISEhOhWxfn5+2LlzJwBAIpFg8uTJWLBgAX755RdcuHABo0ePhlwuR//+/cU4TaIqZXd0PPZdSoSVhQSLhwbC1spS7JAqjck8bP7+++/Ru3dvyOXyCh1n1qxZCA0N1b5XKpVM7qjKyMlTY+Kmc8jKVaNdfVe882L1ucqsqlatWgUA6NKli87y9evXay9Uly5dCgsLCwwaNAgqlQo9e/bEN998o7P9tWvXtBW1ADBjxgxkZmZi/PjxSEtLQ8eOHbFv3z7Y2ZnPZOVExpCoyMGc3f9eHDevJRM5osplEond3bt3ceDAAezYsUO77Ml+KU/etSutjwlQ8DjC1paPrahq+vTXK7iSoISbgw2+Gh4MS/arM3llGQrUzs4OK1euxMqVK8t8HIlEgvnz52P+/PkVjpGouiicT1uZk4+A2jJM6FL9is5M4lHs+vXr4eHhgT59+miXladfClFV9tuFBPwv6i4AYMmwIHg6884MEZE+Np+8hyPXH8HGygJLhgbC2tIk0pxKJfodO41Gg/Xr12PMmDGwsvo3nCf7pbi6usLZ2RnvvPNOkX4pROYgLiULM/8ZQHNClwbo3Nhd5IiIiKqWuJQsLPj1MgBgRs8maOjhJHJE4hA9sTtw4ADi4uIwduzYIuvK0i+FqKrLzdfgnc1nka7KR6s6NRDavbHYIRERVSkajYBp22KQlatGm3quGNuh3rN3MlOiJ3Y9evQosY9KWfqlEFV1i/ZdRcx9BWRSaywfEVwtHx0QEVXEumO3cfJOKuxtLPHl4Oo97if/ghCJ6MDlJHx39DYA4MshgajlUvxAxkREVLzYh+lY9Mc1AMCHfZrC181e5IjExcSOSCTxadmY9nMMAGBsh3ro7u/5jD2IiOhJ+WoNQrfGIDe/YOrFkW18xQ5JdEzsiESQr9bg3c3nkJaVh4DaMrxfDSamJiIytG8O38T5+wo421lh0aAASCTV9xFsIb362KWlpWHnzp34+++/cffuXWRlZcHd3R3BwcHo2bMn2rdvb6w4iczK0gPXcfruYzjZWmHFiJawseI1FhGRPi4+UGB5xA0AwPx+zeEl4xBRQBnv2MXHx+O///0vvL29sWDBAmRnZyMoKAhdu3ZF7dq1cejQIXTv3h3+/v4IDw83dsxEolDm5CFBkV3sugRFNpQ5eWU6zl/XH+GbwzcBAJ8PCqj2/UGIiPSlyldj6tYY5GsE9GrmhX5BFZu1ypyU6Y5dcHAwxowZgzNnzsDf37/YbbKzs7Fr1y4sW7YM9+7dw7Rp0wwaKJGYlDl5GLPuJFIycrFlfDvInyhyiE/LxvC1UXBztMHGsW3gbGdd4nEeKnMQujUaggC82s4XfQK8KyN8IiKzsnT/DVxLSoebgw0+HdCcj2CfUKbE7vLly3BzK30icqlUihEjRmDEiBFISUkxSHBEpiJTlY+UjFzEpWZh+NoobXJXmNTFpWZptyspsVNrBLy3JRrJGbnw83LCR32Kv0giIqKSnbmbirV/FTz1+GxgC7g5chrRJ5XpUeyzkrqKbk9k6rxlUmwZ3w6+rvba5O7M3VRtUufrao8t49vBW1bycCUrDsYi8lYK7G0ssXJUS9hZW1biGRARVX1ZufmYujUGGgEYGFwLPZuVPHd8dVXuHtvp6emYPn06WrdujZYtW+Kdd95BcnKyIWMjMilyF93kbtCqSJ2kTl7KGHSRN1PwVcR1AMCC/s3RwN2xssImIjIbC3+/ijspWfBytsPHfZuJHY5JKndi98YbbyA5ORnz5s3Dxx9/jFu3bmHUqFGGjI3I5MhdpFg6LFBn2dJhgaUmdSkZKry35Rw0AjCkVW0MbFnb2GESEZmdY7HJ2Bh5FwCwaHAAZNKS+zNXZ2Ue7mTp0qWYPHmytoPiqVOncP36dVhaFjxOatKkCdq1a2ecKIlMRHxaNqaEx+gsmxIeU+IdO41GQOjWGDxMV6GhhyPm9eMVJhGRvpQ5eZi+raDtHdXWF883dhc5ItNV5jt2N2/eRNu2bXHu3DkAQPfu3dGnTx+sXr0aX3/9NUaPHo2ePXsaLVAisT1ZKOHrao/tE0J0+tzFpxUdCmXt37dw5Poj2FpZYOXIlrC3EX16ZiKiKueTPZcRr8iBr6s9PnipqdjhmLQyJ3YrVqzA8uXLMXbsWISGhiIsLAx9+vTB/v37ERERgSFDhmDDhg1GDJVIPAmK7CKFEq3quBYpqHhynLszd1PxxT/zF87t2wxNvJzECp+IqMo6cDkJ287ch0RSMKe2g63hLpANNT6pKdGrj127du1w6tQpuLm5ISQkBHXr1sX27duxa9cuTJ8+HVIpJzAn8+RgawU3R5sihRJPFlS4OdpoG5y0rFy8uzkaao2AVwLlGN7aR8zwiYiqpNTMXLy/4wIA4I1O9dGmnqvBjl04PumwNUWfuMSnZWPYmiiMWXeyyiV3ehdPWFlZ4cMPP8SePXuwbNkyDB48GImJicaIjchkONtZY+PYNgh/s2hfOrmLFOFvttMOTiwIAmb8fB4P0rJRx80en3HwTCKicpm9+yKSMwr6KId2b2zQYz89Pmlhcvdkt5uUjFxkqvIN+rnGVubELiYmBq1bt4aTkxM6dOgAjUaDiIgI9OnTB+3bt8eqVauMGSeR6JztrEscp85bJtUOTLzx+B38eTkJNpYF/eqcSpmJgoiIivdLTDx+PZ8ASwsJlgwNNPjYn4YYn9QUlTmxGzt2LDp16oRTp05hyJAheOuttwAAr7/+Ok6cOIFjx44hJCTEaIESVQUX7ivw2W9XAQAfvOSH5rVkIkdERFT1PFTmYPauiwCASS80REBtF6N8TkXGJzVVZU7srl+/jrfffht+fn545513cPv2be06d3d3/Pjjj5g3b55RgiSqCtJz8jBp81nkqjXo4e+JMe3rih0SEVGVIwgC3t9xAYrsPDSv5YxJLzZ85j4VKYIoz/ikpqzMiV2XLl0wfvx4rF27FqNGjUKHDh2KbNOjRw+DBkdUVQiCgFk7LuBuShZquUjxxeBA9qsjIiqHrafv4eDVh7CxtMCSoUGwtiw9ValoEURJ45MWN4RVVVDmxO6HH35Ay5YtsXv3btSvX5996oiesOXUPew9nwArCwm+HhkMmT371RER6eteahbm77kMAJjaozEaez57mKiKFEGUZ3xSUycRBEEQOwhjUiqVkMlkUCgUcHZ2FjscMkNXE5Xot+IYVPkazOrthzc7NxA7JLPF73PZ8WdFVY1GI2Dkd1GIupWKVnVqYOubIbC0KNuTj6cTtKXDAjElPKbU/nIJioK7eU9v8/Sxwt8Uv4BCn+9zme7YxcXF6RXAgwcP9NqeqKrKys3HxJ/OQpWvQZcm7nijU32xQyIiqpI2Rt5B1K1USK0tsXhIYJmTOqB8RRD6jk9aVZQpsWvdujXefPNNnDp1qsRtFAoFvv32WzRv3hzbt283WIBEpmzO7ku4+SgTns62WDwkEBZ6NERERFTg5qMMfP57wYgCE19ogLo1HYpsY+giCH3GJ61KypSGXr58GZ9++im6d+8OOzs7tGrVCnK5HHZ2dnj8+DEuX76MS5cuoWXLlli0aBFeeuklY8dNJLrtZ+7j5zP3YSEBvhoeDDdHW7FDIiKqcvLVGkzdGgNVvgZOdlYIP3UPA1vW1km2Ch+PujnalJhslVQEUdqwJc521iUmbmI/fi2vMt2xc3Nzw5IlS5CQkIAVK1agUaNGSE5Oxo0bNwAAo0aNwpkzZxAZGcmkjqqF2IcZmL27YIylyd0ao119N5EjIiKqmtb8dQvR99LgYGsJJ1sr3HuczSKICmDxBJGecvLU6L/yGK4mpqN9Azf8b1xbvfqCUPnx+1x2/FlRVXAlQYm+K44iTy3gyyGBaN/AzayLIMrL4MUTRPSvT/ZextXEdNR0tMGyYUFM6oiIyiE3X4PQrTHIUwvo7u+JQS1rsQjCAKrHWRIZyN7z8fjpRBwkEmDJ0CB4ONuJHRIRUZW0POIGriQo4epgg88GtNAO6l5YBDFoVaR227IUQWSq8ovckSssgnCwtapyRRDlxTt2RGV0NyUTs7ZfAAC83aUBnm/sLnJERERV07m4x/jmcCwAYEH/5nB3+rf4rDwzQTjbWZf4mNVbJq02SR3AxI6oTFT5akzadA7pqnw8V6cGpnRrLHZIRERVUnauGlO3xkAjAP2C5Hiphbd2HYsgKk7vxC4zM9MYcRCZtIW/X8OFBwq42Ftj+YhgWD1j7kIiIireF39cw63kgvE/5/dtrl2eoNBN6raMb4dWdVx1+twNXxuFBAWTu9Lo/dfJ09MTY8eOxdGjR40RD5HJ2X85CeuO3QYAfDm45H4eRERUusibKdr29PNBATrzarMIwjD0/un8+OOP2LBhA1588UXUrVsXY8eOxejRoyGXy40RH5GoHqRlY9q2gr4e/+1YD938PUWOiIioaspQ5Wvb0xFtfPBCEw+d9SyCMAy979j1798fu3btwoMHD/DWW29h06ZNqFOnDl5++WXs2LED+flFBw4kqory1Bq8u/kcFNl5CKwtw4xefmKHRERUZX3662U8SMtG7RpSfNjHv9htWARRceXuKOTu7o7Q0FCcP38eS5YswYEDBzB48GDI5XLMmTMHWVlZhoyTqNIt2X8dZ+4+hpOdFVaMbAkbK/aro6L++usvvPLKK5DL5ZBIJNi1a5fOeolEUuzriy++KPGYc+fOLbK9nx8vLKjqOnT1ITafvAeJBPhySCAc+TjVaMr9k01KSsLGjRuxYcMG3L17F4MHD8a4ceNw//59LFy4EFFRUfjzzz8NGStRpTly/RFWHb4JAFg4KAA+rvYiR0SmKjMzE4GBgRg7diwGDhxYZH1CQoLO+99//x3jxo3DoEGDSj1us2bNcODAAe17Kyv+IaSqKS0rFzO3nwcAjO1Qj1MwGpneLcWOHTuwfv16/PHHH/D398fbb7+NV199FS4uLtpt2rdvj6ZNmxoyTqJKk6TMQWh4NADgP+3q6JTiEz2td+/e6N27d4nrvby8dN7v3r0bL7zwAurXr1/qca2srIrsS1SVKHPykKnKR9hvV/EwXYX67g6Y3rMJgIIKWPaXMw69E7vXX38dw4cPx7Fjx9C6detit5HL5fjwww8rHBxRZVNrBLy35RxSMnPR1NsZH/bhBQoZTlJSEn799Vds3LjxmdveuHEDcrkcdnZ2CAkJQVhYGHx9fUvcXqVSQaVSad8rlUqDxExUmKAV1/etpARNmZOHMetO4l5qFpIzcmFpIcGSoUGws7bUjlXn5miDjWPbMLkzML0Tu4SEBNjbl/5YSiqV4uOPPy53UETGVFojFfbbFUTdSoW9jSVWjgyGnbWlCBGSudq4cSOcnJyKfWT7pLZt22LDhg1o0qQJEhISMG/ePHTq1AkXL16Ek5NTsfuEhYVh3rx5xgibqrHCBC0lI7fIXK2lJWiZqnw8VKqQnJELoODpR5CPi84AxIXbMbEzLL17gx8+fBh//PFHkeV//PEHfv/9d4MERWQshY3UsDVFRzDfExOP744WjK80+2V/1Hd3FCNEMmPr1q3DqFGjYGdX+hzDvXv3xpAhQxAQEICePXvit99+Q1paGrZu3VriPrNmzYJCodC+7t27Z+jwqRrKVOUjJSO3yMwPTyZoKRm5yFTpjojh5WyHejUdtO8jriThzN3UIgMQl1QBS+Wnd2L3/vvvQ61WF1kuCALef/99gwRFZCwlNVIXHygweUs0AMDBxhJdmnAeWDKsv//+G9euXcN///tfvfd1cXFB48aNERsbW+I2tra2cHZ21nkRVZS3TFpk5oeyJGjbzz7A0dhkWFlI4OVsh3uPszFoVaTOPhzs3Tj0Tuxu3LgBf/+i48/4+fmV2ugQmYLiGqlTd1IweNVxqAUB1pYS/DKpI68iyeC+//57tGrVCoGBgXrvm5GRgZs3b8Lbm4U8VPmenPkhLjXrmQnag7RszPvlEgAgtEdjrBwVrLN+6TDO4GNMeid2MpkMt27dKrI8NjYWDg4OxexBZFqebqSGrI5CTr4GEgDrX2uNBh58BEtll5GRgejoaERHRwMAbt++jejoaMTFxWm3USqV2LZtW4l367p27YoVK1Zo30+bNg1HjhzBnTt3cPz4cQwYMACWlpYYMWKEUc+FqCRyFymWDtO9KCkuQdNoBMz8+TzSVfkI9nXBywHemBIeo7PNlPCYIl1hyHD0Tuz69euHyZMn4+bNm9plsbGxmDp1Kvr27WvQ4IiMpbhG6q0u9dGxER/BVge3b9/GDz/8gE8++QSzZs3CkiVLcOjQIeTk5Oh9rNOnTyM4OBjBwQV3JUJDQxEcHIw5c+Zot9myZQsEQSgxMbt58yaSk5O17+/fv48RI0agSZMmGDp0KNzc3BAVFQV3d/5+kjji07LLlKD9eOIujsYmw87aAjN7+eHV705q7+5tnxCi87SEyZ1xSARBEPTZQaFQoFevXjh9+jRq164NoKAR6tSpE3bs2KEznp0pUCqVkMlkUCgU7HNCWvFp2RiyOhIPnmhYfGpIEf5mCB8RmLCKfp9/+uknfPXVVzh9+jQ8PT0hl8shlUqRmpqKmzdvws7ODqNGjcLMmTNRp04dI5xB5WHbR4byZKGEr6s9lg4LxJTwmCKPY28nZ+Klr/5Gdp4aod0b4eczD4ps8/Sxwt9kAUVZ6PN91nu4E5lMhuPHj2P//v2IiYmBVCpFQEAAnn/++XIHTFSZ4tOyMWzNv0mdt8wOlhYS3Htc0OCwU695Cg4Oho2NDV577TVs374dPj4+OutVKhUiIyOxZcsWPPfcc/jmm28wZMgQkaIlMg0JiuwihRKF3VkKlw9fG4VNb7TFtG0xyM5To30DN4wOqYtD1x4BgE6b+uS+bo42cODUYgan9x27qoZXrfSkBEU2hq35dwwla0sJdk3sgBr2NryKrAIq8n3+448/0LNnzzJtm5KSgjt37qBVq1blCdMksO0jQyjrOHadG7tj2YEbcLS1wr7JnVC7hn25Bjam4hn1jh1QMDfikSNHEBcXh9zcXJ117777bnkOSVQpHGytYGf9b9fS2S/7o5lcBgC8ijRzZU3qAMDNzQ1ubpzPksjZzhobx7YpNkGTu0gR/mY7xKdlY8TaEwCAOS/7o3YNe+2+JSVuvHA2Hr3/ep07dw4vvfQSsrKykJmZCVdXVyQnJ8Pe3h4eHh5M7MjkZaoKxmHs1cwL/2n3bz+qwkaKV5Hm7+zZs7C2tkaLFi0AFMzfun79evj7+2Pu3LmwsbEROUIi01FagubmYIv/bjyNXLUGXf08MOS52pUcHT1N76rYKVOm4JVXXsHjx48hlUoRFRWFu3fvolWrVvjyyy+NESORQQiCgPe3n8eDtGzUriHFwsEBkEgkOtt4y6RM6qqBN998E9evXwcA3Lp1C8OHD4e9vT22bduGGTNmiBwdUdWx4lAsLsUr4WJvjbCBLYq0qVT59E7soqOjMXXqVFhYWMDS0hIqlQo+Pj5YtGgRPvjgA2PESGQQP52Iw28XEmFlIcHXI4IhkzKBq66uX7+OoKAgAMC2bdvw/PPPY9OmTdiwYQO2b98ubnBEVUTMvTSsPFQwMcGC/s3h4Vz6VHlUOfRO7KytrWFhUbCbh4eHdhBOmUzGuQnJZF2OV2L+3ssAgJm9/BDsW0PkiEhMgiBAo9EAAA4cOICXXnoJAODj46MznhwRFS8nT42p22Kg1gh4OcAbLwfIxQ6J/qF3H7vg4GCcOnUKjRo1QufOnTFnzhwkJyfjf//7H5o3b26MGIkqJFOVj0mbziI3X4MX/TwwrmM9sUMikT333HNYsGABunXrhiNHjmDVqlUACgYu9vT0FDk6ItO3+M9riH2YAXcnW3zSj3/7TYned+w+++wz7XyFn376KWrUqIEJEybg0aNHWLt2rcEDJKoIQRDw0a6LuJWcCS9nO3w5JBAWFuwDUt0tW7YMZ8+exaRJk/Dhhx+iYcOGAICff/4Z7du3Fzk6ItN24lYKvjt6GwDw+cAWqOHAYiNTotcdO0EQ4OHhob0z5+HhgX379hklMCJD+PnMfew89wAWEmD5iGC4sgEiAAEBAbhw4UKR5V988QUsLS1FiIioashU5WPazzEQBGDoc7XRtSnvcJsave7YCYKAhg0bsi8dVQk3ktIxZ/clAEBo98ZoU89V5IhITGUZi93Ozg7W1iyqISrJp79dwb3UbNRykWL2y/5ih0PF0Cuxs7CwQKNGjZCSkmKseIgMIjtXjUmbziE7T42ODWtiQpeGYodEImvWrBm2bNlSZFD1p924cQMTJkzA559/XkmREVUNR64/wqYTBQWTXwwJgBOHhjJJehdPfP7555g+fTpWrVrFYgkyWfP3XsK1pHTUdLTFkmGBsGS/umrv66+/xsyZM/H222+je/fueO655yCXy2FnZ4fHjx/j8uXLOHr0KC5duoRJkyZhwoQJYodMZDIUWXmY+fN5AMBr7euifYOaIkdEJdE7sRs9ejSysrIQGBgIGxsbSKW604KkpqYaLDii8tgd/QCbT96DRAIsGxYEDyeOrURA165dcfr0aRw9ehTh4eH46aefcPfuXWRnZ6NmzZoIDg7G6NGjMWrUKNSoweFwiJ40d88lJCpzUK+mA2b28hM7HCqF3ondsmXLjBAGkWHcTs7EBzsKOsVPeqEhOjbiVSXp6tixIzp27Ch2GERVxr6LCdoitMVDAyG1YYGRKdM7sRszZowx4iDSmzInT2dialW+GpM2nUVmrhpBPjK83qGuuAESEVVxyRkqfLjzIgDgrc4N0JKDu5s8vRO7wpkmSuLr61vuYIjKSpmThzHrTiIlIxdbxreD3EWKsN+u4lK8EjKpNR6mqzBu42lsHNuGc78SEZWDIAj4YMcFpGTmws/LCe91ayR2SFQGeid2devWLXWSX7VaXaGAiMoiU5WPlIxcxKVmYfjaKEzo3AAbjt8BANhYWiA+LQdWFhbIVOUzsSMiKodd0Q/w5+UkWFtKsHhoIGyt+Ai2KtA7sTt37pzO+7y8PJw7dw5LlizBp59+arDAiErjLZNiy/h2GL42CnGpWfhgV0G/Oic7KzzKUMHX1R5bxrfTPqYlIqKyS1Bka8cBfa9rIzSTy0SOiMpK78QuMDCwyLLCYQO++OILDBw40CCBET2L3EWKH8e1QbclfyFXXTChe3pOvjapk7swqSMi0pcgCJjx83mk5+QjsLYMb3VuIHZIpAe954otSZMmTXDq1ClDHY6oTH46EadN6gotHRbIpI6e6ebNm/joo48wYsQIPHz4EADw+++/49KlSyJHRiSuTSfj8PeNZNhaWWDx0CBYWRosVaBKoPf/llKp1HkpFApcvXoVH330ERo1YsdKqjyHrj7Emr9uFVk+JTwG8WnZIkREVcWRI0fQokULnDhxAjt27EBGRgYAICYmBh9//LHI0RGJ525KJj799QoAYEYvPzT0cBQ5ItKX3omdi4sLatSooX25urrC398fkZGRWLVqlTFiJCoiQZGNyeHR2ve+rvbYPiEEvq722oIKJndUkvfffx8LFizA/v37YWNjo13+4osvIioqSsTIiMSj1giYvu08snLVaFvPFa+3ryt2SFQOevexO3jwoE5VrIWFBdzd3dGwYUNYWel9OCK95as1mPDjGSiy8wAAPjWk2j51TxZUDF8bhfA3WUBBRV24cAGbNm0qstzDwwPJyckiREQkvnVHb+PknVQ42FjiyyGBsOBUjFWS3plYly5djBAGUdktj7iB6HsKWEgAT2c7hL8Zou1T92Ry5+ZoAwdbXmxQUS4uLkhISEC9evV0lp87dw61atUSKSoi8dxISscXf14DAHz0sj98XO1FjojKS+9HsWFhYVi3bl2R5evWrcPChQv1DuDBgwd49dVX4ebmBqlUihYtWuD06dPa9YIgYM6cOfD29oZUKkW3bt1w48YNvT+HzMOx2GR8fSgWABA2sAV2vN2+SKGE3EWK8DfbcXBiKtHw4cMxc+ZMJCYmQiKRQKPR4NixY5g2bRpGjx4tdnhElSpPrcHUbTHIzdegSxN3DG/tI3ZIVAF6J3Zr1qyBn1/RCYCbNWuG1atX63Wsx48fo0OHDrC2tsbvv/+Oy5cvY/HixToTcC9atAjLly/H6tWrceLECTg4OKBnz57IycnRN3Sq4h6lq/DelmgIAjCijQ+GtfYt8TGrt0zKpI5K9Nlnn8HPzw8+Pj7IyMiAv78/nn/+ebRv3x4fffSR2OERVapvDt3E+fsKyKTWWDgooNRJCMj06f2cKjExEd7e3kWWu7u7IyEhQa9jLVy4ED4+Pli/fr122ZOPRgRBwLJly/DRRx+hX79+AIAffvgBnp6e2LVrF4YPH65v+FRFaTQCpoRHIzlDhSaeTpjzcjOxQ6IqzMbGBt9++y1mz56NixcvIiMjA8HBwazsp2rn4gMFvj5Y8BRsfr9m8HS2Ezkiqii979j5+Pjg2LFjRZYfO3YMcrlcr2P98ssveO655zBkyBB4eHggODgY3377rXb97du3kZiYiG7dummXyWQytG3bFpGRkcUeU6VSFRmShaq+VUdu4mhsMqTWllgxMhhSG05tQxXn6+uLl156CUOHDmVSR9VOTp4aoVujka8R0Lu5F/oG6vc3nEyT3nfs3njjDUyePBl5eXl48cUXAQARERGYMWMGpk6dqtexbt26hVWrViE0NBQffPABTp06hXfffRc2NjYYM2YMEhMTAQCenp46+3l6emrXPS0sLAzz5s3T97TIhJ28nYrF/3Tqnd+vGRp5OokcEVV1giDg559/xqFDh/Dw4UNoNLqDXO/YsUOkyIgqz9ID13E9KQM1HW2woH9zPoI1E3ondtOnT0dKSgrefvtt5ObmAgDs7Owwc+ZMvP/++3odS6PR4LnnnsNnn30GAAgODsbFixexevVqjBkzRt/QAACzZs1CaGio9r1SqYSPDzuCVlWpmbl4d/M5aARgYHAtDG5VW+yQyAxMnjwZa9aswQsvvABPT0/+QaNq58zdVKz9Z4D3Twe0gJujrcgRkaHondhJJBIsXLgQs2fPxpUrVyCVStGoUSPY2ur/S+Ht7Q1/f3+dZU2bNsX27dsBAF5eXgCApKQknX59SUlJCAoKKvaYtra25YqF/qXMyUOmKr/YwoQERTYcbK0qpTBBEARM2xaDRGUO6td0wCe8oiQD+d///ocdO3bgpZdeEjsUokqXlZuPqVtjIAjAwJa10LOZl9ghkQHp3cdOoVAgNTUVjo6OaN26NZo3bw5bW1ukpqbq3Z+tQ4cOuHbtms6y69evo06dOgAKCim8vLwQERGhXa9UKnHixAmEhIToGzqVgTInD2PWncSwNUVnbohPy8awNVEYs+4klDl5Ro/l+6O3cfDqQ9hYWWDFyJYck44MRiaToX79+mKHQSSKz3+/ijspWfCW2eHjV1iIZm70TuyGDx+OLVu2FFm+detWvatUp0yZgqioKHz22WeIjY3Fpk2bsHbtWkycOBFAwd3ByZMnY8GCBfjll19w4cIFjB49GnK5HP3799c3dCqDTFU+UjJyi0zLFZ+WrZ3RISUjF5mqfKPGEX0vDZ//fhUAMOdlf/jLnY36eVS9zJ07F/PmzUN2Nqedo+rl6I1k/BB5FwCwaHAAZFIOC2Vu9E7sTpw4gRdeeKHI8i5duuDEiRN6Hat169bYuXMnNm/ejObNm+OTTz7BsmXLMGrUKO02M2bMwDvvvIPx48ejdevWyMjIwL59+2Bnx5JsY/CWFczc8OScq2fupmqTOl9Xe2wZb9xpuhTZeZi06SzyNQL6tPDGqLa+Rvssqp6GDh2Kx48fw8PDAy1atEDLli11XkTmSJmTh+k/xwAA/tOuDjo1chc5IjIGvZ9tqVQq5OcXvVuTl5dXrqvfl19+GS+//HKJ6yUSCebPn4/58+frfWwqn6fnXB20qmBomcKk7umZHgxJEAS8v/087j/Oho+rFGGDWrBfHRncmDFjcObMGbz66qssnqBqY/6ey0hQ5KCOmz3e7110ogEyD3ondm3atMHatWvx9ddf6yxfvXo1WrVqZbDASFxyFymWDgvUJnUAsHRYoFGTOgD4Meoufr+YCGtLCVaMaMnZI8gofv31V/zxxx/o2LGj2KEQVYr9l5Pw85n7kEiAL4cEss+yGdP7f3bBggXo1q0bYmJi0LVrVwAF49idOnUKf/75p8EDJHHEp2VjSniMzrIp4TFGvWN3KV6BT369AgB4v3dTBPq4GOVziHx8fODszH6bVD2kZuZi1o7zAIDxneqjdV1XkSMiY9K7j12HDh0QGRkJHx8fbN26FXv27EHDhg1x/vx5dOrUyRgxUiV7slDC19Ue2yeE6PS5e7pa1hAyVPmYtOkccvM16NbUA2M71DX4ZxAVWrx4MWbMmIE7d+5U+Fh//fUXXnnlFcjlckgkEuzatUtn/WuvvQaJRKLz6tWr1zOPu3LlStStWxd2dnZo27YtTp48WeFYqfoRBAEf7bqA5IxcNPZ0xJTujcUOiYysXPdig4KC8NNPP+ks02g02Lt3b6n95cj0JSiyixRKPN3nbvjaKIS/abgCCkEQ8OHOC7idnAm5zA5fDglknycyqldffRVZWVlo0KAB7O3tYW2t+8g/NTW1zMfKzMxEYGAgxo4di4EDBxa7Ta9evXTmxH7WWJvh4eEIDQ3F6tWr0bZtWyxbtgw9e/bEtWvX4OHhUebYiH6JicdvFxJhZSHB4iFBsLPmdIzmrsIP2WNjY7Fu3Tps2LABjx49Ql6e8cc3I+NxsLWCm6MNAOg8dn0yuXNztDFo/4xtp+9jd3Q8LC0kWD4iGC72NgY7NlFxli1bZrBj9e7dG7179y51G1tbW+2A62WxZMkSvPHGG3j99dcBFPRh/vXXX7Fu3Tq9Z/ih6itJmYM5uy8BACa92BAtastEjogqQ7n+OmdnZ2Pbtm347rvvcOzYMXTq1Alz5szBgAEDDB0fVTJnO2tsHNum2Jkn5C5ShL/ZzqAzT1xPSsecXy4CAKb2aIzn2PeDKkF5pywsr8OHD8PDwwM1atTAiy++iAULFsDNza3YbXNzc3HmzBnMmjVLu8zCwgLdunVDZGRksfsABSMWqFQq7Xt9B4wn8yIIAmZuPw9Fdh5a1JJh4gsNxQ6JKoleid2pU6fw3XffYcuWLWjQoAFGjRqF48eP45tvvikyNRhVXc521iUmboYcvy47V42JP51FTp4GnRrVxFvPNzDYsYmeplQqtQUTz0p6DFlY0atXLwwcOBD16tXDzZs38cEHH6B3796IjIyEpWXRx2LJyclQq9Xw9PTUWe7p6YmrV6+W+DlhYWGYN2+eweKmqi381D0cvvYINlYWWDw0ENaWFiYzXSQZV5kTu4CAACiVSowcORLHjx9Hs2YF05DwsQCV19xfLuHGwwy4O9li6bAgWFiwXx0ZT40aNZCQkAAPDw+4uLgU249TEARIJBKo1WqDfe6TM/K0aNECAQEBaNCgAQ4fPqwdWcAQZs2ahdDQUO17pVIJHx8fgx2fqo57qVn4ZO9lAMC0Ho3R2NNJO11kSkZukdENCgvm3BxtsHFsGyZ3VVyZE7tr165h2LBheOGFF3h3jips17kHCD99DxIJ8NXwINR0LL0zOVFFHTx4EK6uBY/6Dx06JFoc9evXR82aNREbG1tsYlezZk1YWloiKSlJZ3lSUlKp/fRsbW2fWZRB5k+jETBtWwwyc9VoXbcGxnUsmBP56ekiC5O7J0dBKNyOiV3VVubE7tatW9iwYQMmTJiA7OxsjBgxAqNGjWL1Iunt1qMMfLjzAgDg3RcboX2DmiJHRNVB586dUb9+fZw6dQqdO3cWLY779+8jJSUF3t7exa63sbFBq1atEBERoZ0TW6PRICIiApMmTarESKkq2nD8Dk7cToW9jSW+HBIIy3+ehBROF/nk6AZLhwViSnhMpU0XSZWjzOPY1apVCx9++CFiY2Pxv//9D4mJiejQoQPy8/OxYcMGXL9+3ZhxkpnIyVNj0qZzyMxVo119V7zbtZHYIVE1cufOHYM+ZgWAjIwMREdHIzo6GgBw+/ZtREdHIy4uDhkZGZg+fTqioqJw584dREREoF+/fmjYsCF69uypPUbXrl2xYsUK7fvQ0FB8++232LhxI65cuYIJEyYgMzNTWyVLVJzYhxlYuK+gH+YHLzVFHTcHnfWFoxsUjks6aFVkkaGtqOrTe4BiAHjxxRfx448/IiEhAStWrMDBgwfh5+eHgIAAQ8dHZuaz367gcoISrg42+Gp4sPZqkqiqOn36NIKDgxEcHAygICkLDg7GnDlzYGlpifPnz6Nv375o3Lgxxo0bh1atWuHvv//WeWx68+ZNJCcna98PGzYMX375JebMmYOgoCBER0dj3759RQoqiArlqzWYui0GqvyCYrRRbX2L3a5wusgnVcZ0kVR5JIIgCIY4UHR0NNatW4fly5cb4nAGo1QqIZPJoFAoOIWQyH6/kIAJP50FAGx4vTW6NOFAq6Sfin6fLSwssHHjRshkpY/n1bdv3/KGaDLY9lUvKw7ewJd/XoeTnRX+nPJ8iY9Un+5TB4B37KoAfb7PBhtlNigoyOSSOjId91KzMGN7wVyFb3VuoJPUsQSfKtOzxrAzdFUskbFdilfgq4gbAIB5fZuVKanzdbXX6WP3ZEEFVW3lehRLpI/cfA0mbT6H9Jx8tPR1wdQe/85VWFiCP2xN0Tlo49OyMWxNFMasOwllDmc0IcNITEyERqMp8cWkjkydMicPCYqC9lKVr8bUrTHIUwvo4e+JdvVdi20vi5suslUdV50+d8PXRmmPS1UXEzsyui/+uIqYe2mQSa2xfEQwrC3//bV7ugS/MLl78soyJSMXmap8scInM8Iqfqrqnr4Y/urADVxNTIergw3e7doIw9eeKPZiuHC6yKcfuz5ZUGHo6SJJHPwfJKOKuJKEb/++DQD4YnAAatew11nPEnyqTAbqUkwkmicvhgd8cwyP0gumkZvWozHe/ulsiePRVfZ0kSQe3rEjo0lQZGPqthgAwOsd6qJHs+IHV2UJPlWWMWPGQCrl7xNVXYUXw7VrSJGkVEEjAM83qonVR24982LY2c66xItkb5mUSZ2ZKNcdu4iICERERODhw4fQaDQ669atW2eQwKhqy1dr8O7mc0jLKpiA+v3efqVuX1iCP2jVv5OcswSfDG39+vVih0BUYXIXKULqu2HbmfsAgL9uFAyVw4thAspxx27evHno0aMHIiIikJycjMePH+u8yHQ82cH2aQmKbKMWJCw7cAOn7jyGo60VVowMhq1V0cnOnxSflo0p4TE6y6aExxQpqCAiqu6O30zWJnVP4sUwAeW4Y7d69Wps2LAB//nPf4wRDxmImBM+/33jEVYejgUAhA1sUWT086exBJ+IqGzSc/IwfVvB0FGOtlbIeKKwbEp4DNtL0v+OXW5uLtq3b2+MWMiAxKo2fZiegynh0RAEYGRbX7wSKC91e5bgExGV3YK9V/AgLRuWFhJkqPLh62qP7RNCdNpLPumo3vRO7P773/9i06ZNxoiFDKiwg+2TX/Yzd1OLJFGGrDZVawRM3hKN5Ixc+Hk5Yc7L/s/chyX4RERlc/BqEsJP3wNQ0N7yYpiKo/dfy5ycHKxduxYHDhxAQEAArK11H+MtWbLEYMFRxRQmR4XJXGFhgrE62H5zKBbHb6ZAam2JFSNbws669H51AEvwSRwDBgwodkw7iUQCOzs7NGzYECNHjkSTJk1EiI6oqMeZuZi5/QIAwN3JFlJry2Ivhgu72fBiuPrS+3/+/PnzCAoKAgBcvHhRZx0H/zQ9lVVteuJWCpYeuA4AWNC/ORp6OJZ5X2c76xITN45fR8Ygk8mwa9cuuLi4oFWrVgCAs2fPIi0tDT169EB4eDgWLlyIiIgIdOjQQeRoyVzpM53inF8u4VG6Cg09HLH5jbbI1wi8GKZi6Z3YHTp0yBhxkJGUVG1qyDt2KRkqvLvlHDQCMKhlbQxqVdsgxyUyFi8vL4wcORIrVqyAhUVBjxSNRoP33nsPTk5O2LJlC9566y3MnDkTR48eFTlaMkf6FLj9df0R9sTEw9JCgsVDAuHuZFficXkxTBUaoPj+/fu4f79oyTWZhqerTY3RwVajETB1WwySlCo0cHfA/H7NDBA5kXF9//33mDx5sjapAwALCwu88847WLt2LSQSCSZNmlTkqQSRoZS1wC0uJROzdxX8Hk7s0gCBPi4iRk1Vgd6JnUajwfz58yGTyVCnTh3UqVMHLi4u+OSTT4oMVkziqaxq0++O3sLha49ga2WBFSNbsl8HVQn5+fm4evVqkeVXr16FWq0GANjZ2bF7CRlNWQrcNr/RFkv338DjrDw0kztj0ouNxA6bqgC9/wp/+OGH+P777/H5559r+54cPXoUc+fORU5ODj799FODB0n6K6w2BWC0DrZn4x5j0b5rAICPX2mGpt7OFQ+cqBL85z//wbhx4/DBBx+gdevWAIBTp07hs88+w+jRowEAR44cQbNmvANNxvOsArdjscmIuPoQNpYWWDI0CDZWnAWUnk0i6Dkrtlwux+rVq9G3b1+d5bt378bbb7+NBw8eGDTAilIqlZDJZFAoFHB2rl6Jhz4dc/WlyMrDS8v/xoO0bLwc4I2vRwQjXZVvtM8jAgz3fVar1fj888+xYsUKJCUlAQA8PT3xzjvvYObMmbC0tERcXBwsLCxQu3bV7DNandu+qubM3VSdArftE0LgJZOi19K/kK7Kx/u9/fBW5wYiRkhi0+f7rPftmtTUVPj5FZ3308/PD6mpqfoejozIWNWmgiBgxvYYPEjLRh03e4QNbIF0Vb5oM10Q6cvS0hIffvghPvzwQyiVSgAo0lj6+vqKERpVM8UVuE3eEg0PZzukq/LR0tcFb3SqL1J0VBXpfV83MDAQK1asKLJ8xYoVCAwMNEhQZNp+iLyLPy4lwdpSghUjWsLJzlq0mS6IKsrZ2Zl3tEgUJRW43XucjTN3H8PO2gKLhwbB0oJ9Pans9E7sFi1ahHXr1sHf3x/jxo3DuHHj4O/vjw0bNuCLL74wRoxkQi4+UODTX68AAD54qSla1JYBEGemC6LySkpKwn/+8x/I5XJYWVnB0tJS50VkbCUVuH0xOACFaZzU2hJ21uxXR/rR+1Fs586dcf36daxcuVJbVTZw4EC8/fbbkMtLnxeUqrb0nDxM2nQWuWoNuvt74rX2dXXWV/ZMF0Tl9dprryEuLg6zZ8+Gt7c3q1+pQsrTn7m4Aje1RsDCfVchALC1skAdN3uONEB607t4oqphB2LDEAQB726Jxp6YeNRykeLXdzvCxd6m2G2L6wjcqo5rZYVKZsxQ32cnJyf8/fff2ll0zBHbvsqhz0DDTyd3TyeEq4/cxOe/X4WTrRV+GNcGDTwc2SeZABiheOL8+fNo3rw5LCwscP78+VK3DQgIKHukVGWEn7qnHfl8+YjgEpO6ypjpgqiifHx8YObXtFRJnu5fXNjWPdl/rnC7p5O0JwvcriYqseTPgmkZ57zij2DfGpV7ImQ2yvTwPigoCMnJydp/BwcHIygoqMgrODjYqMGSOK4lpuPjXy4BAKb3bIJWdYpvcCpjpgsiQ1i2bBnef/993LlzR+xQqIozRP/i3HwNpm6NQa5ag25NPTCY0zJSBZTpUezdu3fh6+sLiUSCu3fvlrptnTp1DBacIfBxRMVk5eaj74pjiH2Ygc6N3bH+tdawKKZCK0GRjWFrdBuyp69afV3tEf4mCyio/Az1fa5RowaysrKQn58Pe3t7WFvr3kkxh6Gb2PZVrqfv0AFl71+85M9rWH4wFjXsrfHHlOfhUcpcsFQ9GfxR7JPJ2t27d9G+fXtYWenump+fj+PHj5tcYkcV8/HuS4h9mAFPZ1ssGRpYbFIHVM5MF0SGsmzZMrFDIBNUkUHd5S5SLB0WqNO/eOmwwGcmdTH30rDy8E0AwIL+LZjUUYXpXTxhaWmJhIQEeHh46CxPSUmBh4eHdp5FU2FqV63GnA3C0HacvY/QrTGwkAA//bcdQhq4lbp9VTo3qppM7ftsyviz0k9FiiCe3EafO3Y5eWq8/PVRxD7MQN9AOZaPYHcmKp4+32e9B8gRBKHYoQFSUlLg4OCg7+GqlcKGY9iaov3N4tMKHmWOWXcSypw8kSL8181HGfho10UAwHtdGz8zqQMKOgKX9JjVWyZlUkeiKpxhovDfpb2o+qnIIOvl7V/85R/XEPswA+5Otpjfj/MSk2GU+bnYwIEDAQASiQSvvfYabG1ttevUajXOnz+P9u3bGz5CM1KR6qnKlJOnxsSfziIrV42Q+m6Y9GJD0WIhMpQaNWponza4uLgUe4FaeOFqak8eyPgKiyAK2+Lha6OwdFggpoTHlFoEUdxAw0+P6Tl8bVSR/sUnbqXg+2O3AQCLBgWUONIAkb7KnNjJZAUzDAiCACcnJ0il//6C2tjYoF27dnjjjTcMH6EZKW/DUdkW/HoZVxPT4eZgg6+GczobMg8HDx6Eq2vBeIqHDh0SORoyReUZZL08/YszVPmY9nMMBAEY3toHL/h5FDkuUXnp3cdu3rx5mD59Ouzt7Y0Vk0GZYj+TilRPGduv5xMwcdNZAMAPY9vg+cbuosZD9CRT/D6bKv6syk/fQdb17V/8wc4L2HQiDrVcpNg3uROc2E2FnsHgVbFPGj16NB48eIBGjRrpLL9x4wasra1Rt25dfQ9Z7ZS3esrY4lKy8P72ggGo3+7SgEkdmbW0tDScPHkSDx8+hEaj0Vk3evRokaIisZVnkPUnBxp+2tPJ3uFrD7HpRBwA4IshAUzqyOD0Tuxee+01jB07tkhid+LECXz33Xc4fPiwoWIzW6Y4O0NuvgaTNp9Fuiofz9WpgdDujUWJg6gy7NmzB6NGjUJGRgacnZ11+ttJJBImdtXU00UQT3aVebJfdHkpsvIw85+L59c71EX7BjUNFTqRlt5VsefOnUOHDh2KLG/Xrh2io6MNEZNZM9XZGRbuu4rz9xVwsbfG8hHBsLLU+1eDqMqYOnUqxo4di4yMDKSlpeHx48falzkMTkz6K64IolUd1yKzSiQoyt9Gz91zCUlKFerXdMCMnn4GjJ7oX3r/9ZZIJEhPTy+yXKFQsJLsGSqj4SiP/ZeT8P3RguqsLweL/0iYyNgePHiAd999t8r0FSbjKyyCeLq/c2ERhK+rfYUGWd93MQE7zz2AhQRYPDQQUhtLQ4ZPpKV3Yvf8888jLCxMJ4lTq9UICwtDx44dDRqcuTF2w1EeD9KyMW1bwWPhcR3roZu/Z6V9NpFYevbsidOnT4sdBpkQZztrbBzbBuFvFn3cKneRIvzNdiUOTvwsyRkqfLCzYFzQCV0aINi3+Pm2iQxB7wxi4cKFeP7559GkSRN06tQJAPD3339DqVTi4MGDBg/QnBQ2HMVVTxU2HJU5O0OeWoN3N5+DIjsPAbVlmNmLjwaoeujTpw+mT5+Oy5cvo0WLFkXmiu3bt69IkZGY9CmCKCtBEPDBjgtIzcyFn5cT3u3a6Nk7EVWA3sOdAEB8fDxWrFiBmJgYSKVSBAQEYNKkSdoxokwJS/5LtmjfVXxz+CacbK3w67ud4OvGx1Jk2gz1fbawKPlhhbkMUMy2zzQUTs1obSnB7okd4S/n/wXpz6hTigGAXC7HZ599hl9//RU///wz5syZY5JJHZXsyPVH+Oafiac/HxTApI6qFY1GU+JL36Tur7/+wiuvvAK5XA6JRIJdu3Zp1+Xl5WHmzJlo0aIFHBwcIJfLMXr0aMTHx5d6zLlz50Iikei8/Px4R72qiU/Lxse/XAIATO7WmEkdVYoyPYo9f/48mjdvDgsLC5w/f77UbQMCAgwSGBnPQ2UOQsOjAQCvtvNFnwBvcQMiqsIyMzMRGBiIsWPHaqdeLJSVlYWzZ89i9uzZCAwMxOPHj/Hee++hb9++z+zj16xZMxw4cED73sqq8vreUsUJgoCZ288jPScfQT4uePP5+mKHRNVEmVqKoKAgJCYmwsPDA0FBQZBIJCjuCa65PMIwZ2qNgPe2RCPln/4eH/XxFzskokqxfPlyjB8/HnZ2dli+fHmp27777rtlPm7v3r3Ru3fvYtfJZDLs379fZ9mKFSvQpk0bxMXFwdfXt8TjWllZwcvLq8xxkGn58UQc/r6RDFsrCyweGsghpKjSlCmxu337Ntzd3bX/pqprxcFYRN5Kgb2NJVaOagk7a5bcU/WwdOlSjBo1CnZ2dli6dGmJ20kkEr0SO30pFApIJBK4uLiUut2NGzcgl8thZ2eHkJAQhIWFlZoIqlQqqFQq7XulUmmokElPd1My8dmvVwAAM3v5oYG7o8gRUXVSpsSuTp06xf6bqpbImyn4KuI6AODTAc3Z2FC18uRFqVgXqDk5OZg5cyZGjBhRagfotm3bYsOGDWjSpAkSEhIwb948dOrUCRcvXoSTk1Ox+4SFhWHevHnGCp3KSK0RMG1bDLLz1GhX3xWvta8rdkhUzZQpsfvll1/KfEAOE2CaUjJUeG/LOWgEYEir2hgQXFvskIiqlby8PAwdOhSCIGDVqlWlbvvko92AgAC0bdsWderUwdatWzFu3Lhi95k1axZCQ0O175VKJXx8fAwTPJXZ90dv4dSdx3CwscQXgwNhYSF59k5EBlSmxK5///4675/uY/fkPIvsY2d6NBoBoVtj8DBdhYYejpjXr5nYIRGJ7v79+/jll18QFxeH3NxcnXVLliwx6GcVJnV3797FwYMH9R5+xMXFBY0bN0ZsbGyJ29ja2sLW1raioVIFXE9Kx5d/FDwVmf2yP3xcOdoAVb4y9eZ8ciiAP//8E0FBQfj999+RlpaGtLQ0/Pbbb2jZsiX27dtn7HipHNb+fQtHrj+CrZUFVo5sCXsbVtdR9RYREYEmTZpg1apVWLx4MQ4dOoT169dj3bp1Bp/zujCpu3HjBg4cOAA3Nze9j5GRkYGbN2/C25sV7KYqT61B6NZo5Ko1eKGJO4a15t1SEofeZTqTJ0/GV199hZ49e8LZ2RnOzs7o2bMnlixZYtQOx1Q+Z+6m4os/rgEA5vVthiZexffPIapOZs2ahWnTpuHChQuws7PD9u3bce/ePXTu3BlDhgzR61gZGRmIjo7WJoS3b99GdHQ04uLikJeXh8GDB+P06dP46aefoFarkZiYiMTERJ27hF27dsWKFSu076dNm4YjR47gzp07OH78OAYMGABLS0uMGDHCIOdPhrfyUCwuPlBCJrXG54MCdJ5kEVUmvW/d3Lx5s9hqLplMhjt37hggJDKUtKxcvLs5GmqNgL6Bcl5BEv3jypUr2Lx5M4CCYUWys7Ph6OiI+fPno1+/fpgwYUKZj3X69Gm88MIL2veF/dzGjBmDuXPnavsoBwUF6ex36NAhdOnSBUBBu5qcnKxdd//+fYwYMQIpKSlwd3dHx44dERUVpR2dgEzLhfsKrDhY8Jj8k/7N4elsJ3JEVJ3pndi1bt0aoaGh+N///gdPz4IJ45OSkjB9+nS0adPG4AFS+QiCgGnbzuNBWjbqutnj0wHNeQVJ9A8HBwftHTNvb2/cvHkTzZoV9D19MsEqiy5duhQ7rmehssza+PRF8ZYtW/SKgcSTk6dG6NZo5GsE9GnhjVc44DuJTO/Ebt26dRgwYAB8fX21FVf37t1Do0aNdKbSIXGtP3YHB64kwcbSAitGtoRTCRNbE1VH7dq1w9GjR9G0aVO89NJLmDp1Ki5cuIAdO3agXbt2YodHVcjS/ddx42EGajra4pP+vIAm8emd2DVs2BDnz5/H/v37cfXqVQBA06ZN0a1bN/5Cm4jz99MQ9nvB4Jgf9mmK5rVkIkdEZFqWLFmCjIwMAMC8efOQkZGB8PBwNGrUyOAVsWS+Tt1Jxdq/bwEAwga2gKuDjcgREZUjsQMKhjfp0aMHnn/+edja2jKhMyHKnDxM2nQOeWoBPZt5YnQIB5QmepJarcb9+/e181o7ODhg9erVIkdFVU2mKh9Tt8ZAEIDBrWqju7+n2CERAShHVaxGo8Enn3yCWrVqwdHRUTuC++zZs/H9998bPEAqO0EQMGvHBcSlZqGWixSLBgUy6SZ6iqWlJXr06IHHjx+LHQpVYZ//fhVxqVmQy+ww5xXOuU2mQ+/EbsGCBdiwYQMWLVoEG5t/bzs3b94c3333nUGDI/1sOhmHX88nwMpCgq9HBkNmz351RMVp3rw5bt26JXYYVEX9feMR/hd1FwCwaHAgnNmHmUyI3ondDz/8gLVr12LUqFGwtPx3AvnAwEBtnzuqfFcSlJi35zIAYEavJmjpW0PkiIhM14IFCzBt2jTs3bsXCQkJUCqVOi+ikiiy8zDj5/MAgNEhddCxUU2RIyLSpXcfuwcPHqBhw4ZFlms0GuTl5RkkKNJPpiofEzedRW5+wYjn/+1YX+yQiEzS/PnzMXXqVLz00ksACua2frK7giAIkEgknBqRSjRvzyUkKHJQ180e7/f2EzscoiL0Tuz8/f3x999/o04d3U75P//8M4KDg/U61ty5czFv3jydZU2aNNHe+cvJycHUqVOxZcsWqFQq9OzZE9988412/DwqMHv3Rdx6lAlPZ1ssHhrESaeJSjBv3jy89dZbOHTokNihUBX0x6VE7Dj7ABYSYPHQQE7PSCZJ79/KOXPmYMyYMXjw4AE0Gg127NiBa9eu4YcffsDevXv1DqBZs2Y4cODAvwFZ/RvSlClT8Ouvv2Lbtm2QyWSYNGkSBg4ciGPHjun9Oebq5zP3tQ3N8uHBLLcnKkXhYMGdO3cWORKqalIyVPhw5wUAwPjnG6BVHVeRIyIqnt6JXb9+/bBnzx7Mnz8fDg4OmDNnDlq2bIk9e/age/fu+gdgZQUvL68iyxUKBb7//nts2rQJL774IgBg/fr1aNq0KaKiojiIKIDYh+mYvesiAGBKt8ZoW1//ycWJqhtWipO+BEHAR7suIjkjF409HTGleyOxQyIqkV6JXX5+Pj777DOMHTsW+/fvN0gAN27cgFwuh52dHUJCQhAWFgZfX1+cOXMGeXl56Natm3ZbPz8/+Pr6IjIystondjl5akz86Ryy89To0NANb79QtN8jERXVuHHjZyZ3qamplRQNVQW/xMTj94uJsLKQYMnQINhaWT57JyKR6JXYWVlZYdGiRRg9erRBPrxt27bYsGEDmjRpgoSEBMybNw+dOnXCxYsXkZiYCBsbG7i4uOjs4+npicTExBKPqVKpoFKptO/NtcJt3p7LuJaUjpqONlg6LAiW7FdHVCbz5s2DTMbZWKhsEhU52icj73ZtxJl8yOTp/Si2a9euOHLkCOrWrVvhD+/du7f23wEBAWjbti3q1KmDrVu3QiqVluuYYWFhRQoyzM0vMfHYfDIOEgmwbFgwPJzsxA6JqMoYPnw4PDw8xA6DqgBBEDBz+3koc/IRUFuGCV0aiB0S0TPpndj17t0b77//Pi5cuIBWrVrBwcFBZ33fvn3LHYyLiwsaN26M2NhYdO/eHbm5uUhLS9O5a5eUlFRsn7xCs2bNQmhoqPa9UqmEj49PuWMyNXeSM/HBjoIOvBO7NOQYSkR6YP860seWU/dw5Poj2FhZYMnQQFhb6j30K1Gl0zuxe/vttwGg2ImyKzr+U0ZGBm7evIn//Oc/aNWqFaytrREREYFBgwYBAK5du4a4uDiEhISUeAxbW1vY2tqWOwZTpczJw+PMXEzafBYZqny0rlsDk7sVdOBNUGTDwdaKo58TPUNhVSzRs9xLzcKCvf8M+t6zCRp6OIkcEVHZ6J3YaTQag334tGnT8Morr6BOnTqIj4/Hxx9/DEtLS4wYMQIymQzjxo1DaGgoXF1d4ezsjHfeeQchISHVrnBCmZOHMetO4kZSBjJU+ahhb43lI4JhZWmB+LRsDF8bBTdHG2wc24bJHVEpDNl+kfnSaARM2xaDzFw12tR1xesd6okdElGZ6ZXY3blzB/v370deXh46d+6MZs2aVejD79+/jxEjRiAlJQXu7u7o2LEjoqKi4O7uDgBYunQpLCwsMGjQIJ0BiqubTFU+7qVmIUOVDwD44KWm8JZJtUldXGqWdjsmdkREFbPu2G2cuJ0KextLfDkkkMVpVKWUObE7dOgQXn75ZWRnZxfsaGWFdevW4dVXXy33h2/ZsqXU9XZ2dli5ciVWrlxZ7s8wB2qNAFXev3cavj4Yi/ruDpgSHoO41Cz4utpjy/h28JaVr+CEiIgKxD5Mx6I/rgEAPuzTFL5u9iJHRKSfMvcEnT17Nrp3744HDx4gJSUFb7zxBmbMmGHM2AhAnlqDdzafQ7oqH/7ezvCpIUVcahYGrYrUSerkLkzqiIgqIl+twdStMcjN1+D5xu4Y2cZX7JCI9FbmxO7ixYv47LPP4O3tjRo1auCLL77Aw4cPkZKSYsz4qr0v/7yGc3FpcLKzwpr/tMKy4UE665cOC2RSR0RkAKsO30TMfQWc7aywaFAAq6ipSipzYqdUKlGz5r9Da9jb20MqlUKhUBglMAIOXXuINUduAQAWDQqApYUEU8JjdLaZEh6D+LRsMcIjIjIbl+IV+CriBgBgXr9m8JJxfFCqmvQqnvjjjz90RmzXaDSIiIjAxYsXtcsqMo4d/StRkYOpWwuSuNEhdRDo46ItlPB1tcfSYYHaPnbD10bxcSwRUTmp8tUIDY9BvkZAr2Ze6B9US+yQiMpNr8RuzJgxRZa9+eab2n9XdBw7KpCv1uDdLeeQmpkLf29njO1YVyepK0zitoxvp10+fG0Uwt9kAQURkb6WHbiBa0npcHOwwacDmvMRLFVpZX4Uq9FonvliUmcYyw/G4uTtVDjYWGLFyGC4OtjCzdGmSKFEYXLn62oPN0cbONjqPSwhEVG1dubuY6w5chMA8NnAFnBzNL8B7ql6YSZgYo7HJuPrgwX9PD4b2AL13R0BABvHtkGmKr/IHTm5ixThb7bjzBNERHrKys3HtG0x0AjAwOBa6Nms5OkqiaoKJnYm5FG6Cu+FR0MQgGHP+aDfE/08nO2sS0zc+PiViEh/i/Zdw+3kTHg52+HjvhUbcJ/IVHBGYxOh0QgI3RqNR+kqNPJwxFw2MkRERnM8Nhkbjt8BACwaHACZlE88yDwwsTMRq47cxN83kmFnbYGVo1pCamMpdkhERGZJmZOH6T+fBwCMauuL5xu7ixwRkeEwsTMBp++kYsn+6wCA+X2bo7Gnk8gRERGZrwV7L+NBWjZ8Xe3xwUtNxQ6HyKD0Tuzq169f7GwTaWlpqF+/vkGCqk4eZ+bi3c3noNYI6B8kx5DnaosdEhGR2TpwOQlbT9+HRAJ8OSSQowmQ2dE7sbtz506xw5qoVCo8ePDAIEFVF4IgYPrPMYhX5KBeTQcsGNCC4ycRERnJ48xcvL/jAgDgvx3roU09V5EjIjK8Ml+q/PLLL9p/Pz0DhVqtRkREBOrWrWvQ4MzdumN3cODKQ9hYWWDFyGA48sqRiMhoZu++iOQMFRp6OGJqjyZih0NkFGXOJPr37w+gYHaJp2egsLa2Rt26dbF48WKDBmfOYu6l4fPfrwAAZvdpimZy2TP2ICKi8toTE4+95xNgaSHBkqGBsLNmgRqZpzIndhqNBgBQr149nDp1CjVr1jRaUOZOmZOHSZvPIk8toHdzL7zaro7YIRERma2HyhzM3l0wp/nEFxoioLaLuAERGZHez/5u375dZFlaWhpcXFwMEY/ZEwQB728/j3up2ahdQ4rPBwWwXx0RkZEIgoD3d1xAWlYemsmd8c6LDcUOicio9C6eWLhwIcLDw7XvhwwZAldXV9SqVQsxMTEGDc4c/XQiDr9dSISVhQQrRrbkoJhEREa07fR9HLz6EDaWFlgyNAjWlhzli8yb3r/hq1evho+PDwBg//79OHDgAPbt24fevXtj+vTpBg/QnFyKV2D+3ssAgPd7+yHIx0XcgIiIzNj9x1naNje0R2M08eIYoWT+9E7sEhMTtYnd3r17MXToUPTo0QMzZszAqVOnDB6guchQ5eOdTeeQm69BVz8PjOtYT+yQiMgA/vrrL7zyyiuQy+WQSCTYtWuXznpBEDBnzhx4e3tDKpWiW7duuHHjxjOPu3LlStStWxd2dnZo27YtTp48aaQzME8ajYDp284jQ5WPVnVq4I1OHGeVqge9E7saNWrg3r17AIB9+/ahW7duAAoar+LGt6OCn81HOy/gVnImvGV2+HJIIPvVEZmJzMxMBAYGYuXKlcWuX7RoEZYvX47Vq1fjxIkTcHBwQM+ePZGTk1PiMcPDwxEaGoqPP/4YZ8+eRWBgIHr27ImHDx8a6zTMzg+RdxB5KwVSa0ssHhIISwu2uVQ96J3YDRw4ECNHjkT37t2RkpKC3r17AwDOnTuHhg3ZKbU4287cx67oeFhaSLB8RDBqONiIHRIRGUjv3r2xYMECDBgwoMg6QRCwbNkyfPTRR+jXrx8CAgLwww8/ID4+vsidvSctWbIEb7zxBl5//XX4+/tj9erVsLe3x7p164x4Jubj1qMMfL7vKgDgg5f8ULemg8gREVUevRO7pUuXYtKkSfD398f+/fvh6OgIAEhISMDbb79t8ACruhtJ6ZjzT5l9aPfGaF2XI50TVRe3b99GYmKi9skGAMhkMrRt2xaRkZHF7pObm4szZ87o7GNhYYFu3bqVuA/9K1+twdRtMcjJ06Bjw5oY1ZbDSVH1ovdwJ9bW1pg2bVqR5VOmTDFIQOYkO1eNiZvOIidPg06NamJC5wZih0RElSgxMREA4OnpqbPc09NTu+5pycnJUKvVxe5z9erVEj9LpVJBpVJp3yuVyvKGXaWt/fsWzsWlwcnWCosGB8CCj2CpmilX3ff//vc/dOzYEXK5HHfv3gUALFu2DLt37zZocFXdvD2XcD0pAzUdbbFkaBAbGCIymrCwMMhkMu2rsMitOrmSoMTS/dcBAB/3bQa5i1TkiIgqn96J3apVqxAaGorevXsjLS1NWzDh4uKCZcuWGTq+Kmt39ANsOXUPEgnw1fAguDvZih0SEVUyLy8vAEBSUpLO8qSkJO26p9WsWROWlpZ67QMAs2bNgkKh0L4Ki9yqi9x8DUK3xiBPLaBbU08MallL7JCIRKF3Yvf111/j22+/xYcffghLy3/n2nvuuedw4cIFgwZXVd1OzsQHOwp+Fu+80BAdGnL6NaLqqF69evDy8kJERIR2mVKpxIkTJxASElLsPjY2NmjVqpXOPhqNBhERESXuAwC2trZwdnbWeVUnyyNu4EqCEjXsrRE2sAVHHqBqq1xTigUHBxdZbmtri8zMTIMEVZXl5Kkx8aezyMxVo009V7zbtZHYIRGREWVkZCA2Nlb7/vbt24iOjoarqyt8fX0xefJkLFiwAI0aNUK9evUwe/ZsyOVy9O/fX7tP165dMWDAAEyaNAkAEBoaijFjxuC5555DmzZtsGzZMmRmZuL111+v7NOrEs7FPcY3hwv+Dz4d0IJPSKha0zuxq1evHqKjo1Gnjm6l0b59+9C0aVODBVZVhf12BZf/uWpcPjwYVpy+hsisnT59Gi+88IL2fWhoKABgzJgx2LBhA2bMmIHMzEyMHz8eaWlp6NixI/bt2wc7OzvtPjdv3kRycrL2/bBhw/Do0SPMmTMHiYmJCAoKwr59+4oUVFDBxfTUbTHQCEC/IDleauEtdkhEoipzYjd//nxMmzYNoaGhmDhxInJyciAIAk6ePInNmzcjLCwM3333nTFjNXn7LiZgY2RBMcmSoUHwktk9Yw8iquq6dOkCQRBKXC+RSDB//nzMnz+/xG3u3LlTZNmkSZO0d/CoZIv2XcOtR5nwcLLFvL7NxA6HSHRlTuzmzZuHt956C//9738hlUrx0UcfISsrCyNHjoRcLsdXX32F4cOHGzNWk3YvNQvTfz4PAHjz+fp4wc9D5IiIiMxb5M0UrDt2GwCwcFAAXOw5+DtRmRO7J69IR40ahVGjRiErKwsZGRnw8KjeSUxuvgaTNp9Dek4+gn1dMK1nE7FDIiIyaxmqfEz/OQYAMKKNDy+mif6hVx+7p6uM7O3tYW9vb9CAqqIv/7yGmHtpcLazwvLhwbBmvzoiIqP69NfLuP84G7VrSPFhH3+xwyEyGXoldo0bN35mCXlqamqFAqpqDl5Nwtq/bgEAFg0OhI8rE10iImM6dO0hNp8sGKfvyyGBcLTVuw6QyGzp9W2YN28eZDKZsWKpchIU2Zi6teBRwJiQOujVvOTBQ4mIqOLSsnIx85/+zGM71EO7+m7FbqfMyUOmKh/esqKzTyQosuFgawVnO2ujxkokBr0Su+HDh1f7/nSF8tUavLc5Go+z8tC8ljM+6MOhXoiIjO3jXy7hYboK9d0dMKNX8f2ZlTl5GLPuJFIycrFlfDudqcXi07IxfG0U3BxtsHFsGyZ3ZHbK3BmMo3jr+iriBk7eSYWjrRVWjGgJWyvLZ+9ERETl9tuFBOyOjoeFpGBIKTvr4tvdTFU+UjJyEZeaheFroxCflg3g36QuLjULKRm5yFTlV2b4RJWizIldaeM0VTdHbyRjxaGCUc4/G9gCdWs6iBwREZF5e5Suwoc7C6ZqfLtLQwT5uJS4rbdMii3j28HX1V6b3J25m6pN6nxd7bFlfLtiH9MSVXVlTuw0Gg0fwwJ4mJ6DyeHREISCEvu+gXKxQyIiMmuCIGDWjgt4nJWHpt7OZZqqUe6im9wNWhWpk9Q9+XiWyJxwXA49qDUCpoRHIzlDhSaeTpjzMkc5JyIytu1nH+DAlSRYW0qwZGggbKzK9qdL7iLF0mGBOsuWDgtkUkdmjYmdHlYdjsWx2BRIrS2xYmQwpDbsV0dEZEzxadmY98slAMDkbo3R1NtZr32nhMfoLJsSHqPtc0dkjpjYldHJ26lYsv86AGB+v2Zo5OkkckREROZNEATM+Pk80lUFs/q8+Xz9Mu/7ZKGEr6s9tk8I0elzx+SOzBUTuzJIzczFu5vPQSMAA4NrYXCr2mKHRERk9n6Muoujscmws7bA4iGBsCrjrD4JiuwihRKt6rgWKahIUDC5I/PDxO4ZNBoB07bFIFGZg/o1HfBJ/+Yc+oWIyMjuJGfis9+uAgDe7+WH+u6OZd7XwdYKbo42RQolniyocHO0gQNnrCAzxN/qZ/j+6G0cvPoQNlYWWDGyJRsCIiIjU/9zQZ2dp0brujXQvZlnsduVNIOEs501No5tU+zME3IXKcLfbMeZJ8hs8Y5dKc7FPcbCfQVXjHNe9oe/vOyddomIqHy++/sWTt99DAcbS2TlqjFi7YkifeLi07IxbE0Uxqw7CWVOXpFjONtZlzhOnbdMyqSOzBYTuxIosvIwadM55GsE9GnhjVFtfcUOiYjI7F1PSsfiPwsK1d7r1gjpOfmcQYJID0zsiiEIAmZuP48HadnwcZUibFAL9qsjIjKyPLUGoVujkavW4EU/D7zRqT5nkCDSExO7Yvwv6i72XUqEtaUEK0a05C17IqIKUubklViFmqDIhjInDysOxuLiAyVc7K3x+cCCC2rOIEGkH1YCPOXiAwUW7L0CAHi/d1MEljIfIRERPZsyJw9j1p1ESkZukWSs8LGq1NoCsQ8zAQCf9GsOD2c77TaFM0gMWhWpXcYZJIiKxzt2T8hQ5WPSprPIVWvQraknxnaoK3ZIRERVXqYqHykZuaX2lbv5KBNqQcDLAd545ak5uDmDBFHZMbH7hyAI+HDnBdxJyYJcZocvhwSwXx0RkQF4y6Sl9pVzsrNCvkaAu5MtPunXXGdfziBBpB8mdv84G5eG3dHxsLSQYPmIYLjY24gdEhGR2Sipr5yHky0ycgqqWj8f2AI1HP5tezmDBJH+mNj9o1WdGlg1qiU+6tMUz9V1feb2ZekITERE/yrsK/ckiQQQAAx9rja6NtUdiJgzSBDpj9+GJ/Ru4V2m7crSEdjN0QYbx7ZhRS0R0T+K6yuXpFTB09kWs1/2L7I9Z5Ag0h/v2JVDWToCc9BMIqJ/Pd1XbvbLTbXrBAFIzym+veQMEkT6YWJXDs/qCMxBM4mI/vV0X7lvR7fCt3/dBgA42lrhYbqKfeWIDISJXTlx0EwiorJ5uq/cmiO3kKjMQb2aDvhlUgf2lSMyIH6LKoCDZhJRdaPMySu2zxtQcGeuuD5vT/aVO39fgR3nHsBCAiweGoj67o7sK0dkQLxjVwEcNJOIqpPCwrFha4qOHxeflo1ha6IwZt3JYkcFcLazho2lBT7YcQEA8GbnBmjpWwMA+8oRGRITu3LioJlEVN1UpHCsYBD4i0jJzIWflxMmd2tU2eETVQtM7MqBg2YSUXVUkcKx3dHx2HcpEdaWEiweGghbK0sRzoDI/DGxKwcOmklE1VV5CscSFTmYs/siAOC9ro3QTC6r7LCJqg1mHuXAQTOJqDrTp3BMEATM2H4eypx8BNaW4a3ODSozVKJqh3fsyomDZhJRdaVP4djmk/fw1/VHsLWywOKhQbCy5J8dImPiN4yIiMpMn8KxuJQsLPj1MgBgRi8/NPRwFCtsomqDiR0REZWJPoVjGo2AadtikJWrRtt6rni9fV2xwyeqFpjYERFRmehTOLbu2G2cvJMKBxtLfDkkEBYWEpGjJ6oemNgRERlR3bp1IZFIirwmTpxY7PYbNmwosq2dnV0lR128wsKx8DeLVr8WFo5tHNsGD5U5WPTHNQDARy/7w8fVXoxwiaolVsUSERnRqVOnoFarte8vXryI7t27Y8iQISXu4+zsjGvXrmnfSySmc7fL2c66xOIwb5kU+WoNQrfGIDdfgy5N3DG8tU8lR0hUvZnMHbvPP/8cEokEkydP1i7LycnBxIkT4ebmBkdHRwwaNAhJSUniBUlEpCd3d3d4eXlpX3v37kWDBg3QuXPnEveRSCQ6+3h6elZixBXzzeGbOH9fAZnUGgsHBZhUUkpUHZhEYnfq1CmsWbMGAQEBOsunTJmCPXv2YNu2bThy5Aji4+MxcOBAkaIkIqqY3Nxc/Pjjjxg7dmypCU9GRgbq1KkDHx8f9OvXD5cuXarEKMvv4gMFlkfcAADM79cMns6m8QiZqDoRPbHLyMjAqFGj8O2336JGjRra5QqFAt9//z2WLFmCF198Ea1atcL69etx/PhxREVFiRgxEVH57Nq1C2lpaXjttddK3KZJkyZYt24ddu/ejR9//BEajQbt27fH/fv3Sz22SqWCUqnUeVUmVb4aU7fGIF8joHdzL/QNlFfq5xNRAdETu4kTJ6JPnz7o1q2bzvIzZ84gLy9PZ7mfnx98fX0RGRn59GGIiEze999/j969e0MuLznpCQkJwejRoxEUFITOnTtjx44dcHd3x5o1a0o9dlhYGGQymfbl41O5fduW7r+Ba0npqOlogwX9m/MRLJFIRC2e2LJlC86ePYtTp04VWZeYmAgbGxu4uLjoLPf09ERiYmKJx1SpVFCpVNr3lX3VSkRUnLt37+LAgQPYsWOHXvtZW1sjODgYsbGxpW43a9YshIaGat8rlcpKS+7O3E3F2r9uAgA+HdACbo62lfK5RFSUaHfs7t27h/feew8//fSTQUv5xb5qJSIqzvr16+Hh4YE+ffrotZ9arcaFCxfg7e1d6na2trZwdnbWeVWGrNx8TN0aA40ADGxZCz2beVXK5xJR8URL7M6cOYOHDx+iZcuWsLKygpWVFY4cOYLly5fDysoKnp6eyM3NRVpams5+SUlJ8PIqueGYNWsWFAqF9nXv3j0jnwkRUek0Gg3Wr1+PMWPGwMpK90HJ6NGjMWvWLO37+fPn488//8StW7dw9uxZvPrqq7h79y7++9//VnbYZbLw96u4k5IFb5kdPn6lmdjhEFV7oj2K7dq1Ky5cuKCz7PXXX4efnx9mzpwJHx8fWFtbIyIiAoMGDQIAXLt2DXFxcQgJCSnxuLa2trC15WMAIjIdBw4cQFxcHMaOHVtkXVxcHCws/r3Gfvz4Md544w0kJiaiRo0aaNWqFY4fPw5/f//KDLlMjsUmY2PkXQDAwkEBkEmLH9+OiCqPaImdk5MTmjdvrrPMwcEBbm5u2uXjxo1DaGgoXF1d4ezsjHfeeQchISFo166dGCETEZVLjx49IAhCsesOHz6s837p0qVYunRpJURVMcqcPEzfFgMAeLWdL55v7C5yREQEmPjME0uXLoWFhQUGDRoElUqFnj174ptvvhE7LCKiau+TPZcRr8iBr6s9ZvVuKnY4RPQPk0rsnr5ytbOzw8qVK7Fy5UpxAiIioiIOXE7CtjP3IZEAi4cGwsHWpP6UEFVroo9jR0REVUdqZi7e31HQP/qNTvXRuq6ryBER0ZOY2BERUZkIgoDZuy4iOUOFRh6OCO3eWOyQiOgpTOyIiKhM9pxPwK8XEmBlIcGSoUGws7YUOyQiegoTOyIieqaHyhzM3nURADDpxYZoUVsmckREVBwmdkREVCpBEDBz+3kosvPQvJYzJr7QUOyQiKgETOyIiKhUW0/fw6Frj2BjZYElQ4Ngbck/HUSmit9OIiIq0b3ULMzfcxkAMK1HYzT2dBI5IiIqDRM7IiIqlkYjYPrPMcjMVaN13RoY17G+2CER0TMwsSMiomJtjLyDqFupkFpb4sshgbC0kIgdEhE9AxM7IiIq4uajDHz++1UAwAd9mqKOm4PIERFRWTCxIyIiHflqDaZujYEqX4NOjWri1ba+YodERGXExI6IiHSs+esWou+lwcnOCgsHBUAi4SNYoqqCiR0REWldjldi2YHrAIC5rzSD3EUqckREpA8mdkREBABQ5asRujUaeWoBPfw9MbBlLbFDIiI9MbEjIiIAwPKIG7iamA5XBxt8NrAFH8ESVUFM7IiICOfiHmPV4ZsAgM8GNEdNR1uRIyKi8mBiR0RUzWXnqjF1aww0AtA/SI5ezb3FDomIyomJHRFRNbfoj6u4lZwJT2dbzOvbXOxwiKgCmNgREVVj15PSsf7YHQDAwkEBkNlbixsQEVWIldgBEBGReBp7OuGbUS1x/r4CXZp4iB0OEVUQEzsiomrupRbeeKkF+9URmQM+iiUiIiIyE0zsiIiIiMwEEzsiIiIiM8HEjoiIiMhMMLEjIiIiMhNM7IiIiIjMBBM7IiIiIjPBxI6IiIjITDCxIyIiIjITTOyIiIiIzAQTOyIiIiIzwcSOiIiIyEwwsSMiIiIyE0zsiIiIiMwEEzsiIiIiM8HEjojIiObOnQuJRKLz8vPzK3Wfbdu2wc/PD3Z2dmjRogV+++23SoqWiKq6ap/YKXPykKDILnZdgiIbypy8So6IiMxNs2bNkJCQoH0dPXq0xG2PHz+OESNGYNy4cTh37hz69++P/v374+LFiwaNiW0fkXmq1omdMicPY9adxLA1UYhP023g4tOyMWxNFMasO8kGjogqxMrKCl5eXtpXzZo1S9z2q6++Qq9evTB9+nQ0bdoUn3zyCVq2bIkVK1YYLB62fUTmq1ondpmqfKRk5CIuNQvD1/7bwMWnZWP42ijEpWYhJSMXmap8kSMloqrsxo0bkMvlqF+/PkaNGoW4uLgSt42MjES3bt10lvXs2RORkZEGi4dtH5H5qtaJnbdMii3j28HX1V7bwJ25m6pt2Hxd7bFlfDt4y6Rih0pEVVTbtm2xYcMG7Nu3D6tWrcLt27fRqVMnpKenF7t9YmIiPD09dZZ5enoiMTGx1M9RqVRQKpU6r5Kw7SMyX9U6sQMAuYtuAzdoVaROwyZ3YcNGROXXu3dvDBkyBAEBAejZsyd+++03pKWlYevWrQb9nLCwMMhkMu3Lx8en1O3Z9hGZp2qf2AEFDdzSYYE6y5YOC2TDRkQG5+LigsaNGyM2NrbY9V5eXkhKStJZlpSUBC8vr1KPO2vWLCgUCu3r3r17z4yFbR+R+WFih4J+JVPCY3SWTQmPKdKpmIioojIyMnDz5k14e3sXuz4kJAQRERE6y/bv34+QkJBSj2trawtnZ2ed17Ow7SMyP9U+sXuys7Cvqz22TwjR6XfCBo6IKmLatGk4cuQI7ty5g+PHj2PAgAGwtLTEiBEjAACjR4/GrFmztNu/99572LdvHxYvXoyrV69i7ty5OH36NCZNmmTQuNj2EZmnap3YJSiyi3QWblXHtUin4pLGeiIiepb79+9jxIgRaNKkCYYOHQo3NzdERUXB3d0dABAXF4eEhATt9u3bt8emTZuwdu1aBAYG4ueff8auXbvQvHlzg8XEto/IfFmJHYCYHGyt4OZoAwA6nYULOxUPXxsFN0cbONhW6x8TEVXAli1bSl1/+PDhIsuGDBmCIUOGGCkitn1E5kwiCIIgdhDGpFQqIZPJoFAoiu1zoszJQ6Yqv9iy/gRFNhxsreBsZ10ZoRLRMzzr+0z/YttHZD70afuq/eWYs511iY0Xx3AiInPFto/IPFXrPnZERERE5oSJHREREZGZYGJHREREZCaY2BERERGZCSZ2RERERGaCiR0RERGRmWBiR0RERGQmmNgRERERmQkmdkRERERmgokdERERkZlgYkdERERkJsx+rlhBEAAUTKBLRFVb4fe48HtNJWPbR2Q+9Gn7zD6xS09PBwD4+PiIHAkRGUp6ejpkMpnYYZg0tn1E5qcsbZ9EMPNLX41Gg/j4eDg5OUEikZS4nVKphI+PD+7duwdnZ+dKjNB4zPGcAPM8L55T2QiCgPT0dMjlclhYsCdJadj2mdc5AeZ5XjynstGn7TP7O3YWFhaoXbt2mbd3dnY2m1+uQuZ4ToB5nhfP6dl4p65s2PaZ5zkB5nlePKdnK2vbx0teIiIiIjPBxI6IiIjITDCx+4etrS0+/vhj2Nraih2KwZjjOQHmeV48JxKLOf4/meM5AeZ5XjwnwzP74gkiIiKi6oJ37IiIiIjMBBM7IiIiIjPBxI6IiIjITDCxA7By5UrUrVsXdnZ2aNu2LU6ePCl2SHqZO3cuJBKJzsvPz0+7PicnBxMnToSbmxscHR0xaNAgJCUliRhxUX/99RdeeeUVyOVySCQS7Nq1S2e9IAiYM2cOvL29IZVK0a1bN9y4cUNnm9TUVIwaNQrOzs5wcXHBuHHjkJGRUYlnoetZ5/Taa68V+X/r1auXzjamdk5hYWFo3bo1nJyc4OHhgf79++PatWs625Tl9y0uLg59+vSBvb09PDw8MH36dOTn51fmqRDY9pkCtn1s+wzd9lX7xC48PByhoaH4+OOPcfbsWQQGBqJnz554+PCh2KHppVmzZkhISNC+jh49ql03ZcoU7NmzB9u2bcORI0cQHx+PgQMHihhtUZmZmQgMDMTKlSuLXb9o0SIsX74cq1evxokTJ+Dg4ICePXsiJydHu82oUaNw6dIl7N+/H3v37sVff/2F8ePHV9YpFPGscwKAXr166fy/bd68WWe9qZ3TkSNHMHHiRERFRWH//v3Iy8tDjx49kJmZqd3mWb9varUaffr0QW5uLo4fP46NGzdiw4YNmDNnjhinVG2x7TMNbPvY9hm87ROquTZt2ggTJ07Uvler1YJcLhfCwsJEjEo/H3/8sRAYGFjsurS0NMHa2lrYtm2bdtmVK1cEAEJkZGQlRagfAMLOnTu17zUajeDl5SV88cUX2mVpaWmCra2tsHnzZkEQBOHy5csCAOHUqVPabX7//XdBIpEIDx48qLTYS/L0OQmCIIwZM0bo169fifuY+jkJgiA8fPhQACAcOXJEEISy/b799ttvgoWFhZCYmKjdZtWqVYKzs7OgUqkq9wSqMbZ9podtXwFTPydBMO22r1rfscvNzcWZM2fQrVs37TILCwt069YNkZGRIkamvxs3bkAul6N+/foYNWoU4uLiAABnzpxBXl6ezjn6+fnB19e3ypzj7du3kZiYqHMOMpkMbdu21Z5DZGQkXFxc8Nxzz2m36datGywsLHDixIlKj7msDh8+DA8PDzRp0gQTJkxASkqKdl1VOCeFQgEAcHV1BVC237fIyEi0aNECnp6e2m169uwJpVKJS5cuVWL01Rfbvqpxjmz7TPecTLntq9aJXXJyMtRqtc4PGQA8PT2RmJgoUlT6a9u2LTZs2IB9+/Zh1apVuH37Njp16oT09HQkJibCxsYGLi4uOvtUpXMsjLO0/6fExER4eHjorLeysoKrq6vJnmevXr3www8/ICIiAgsXLsSRI0fQu3dvqNVqAKZ/ThqNBpMnT0aHDh3QvHlzACjT71tiYmKx/5eF68j42PZVjXNk2/cvUzonU2/7rAx2JBJN7969tf8OCAhA27ZtUadOHWzduhVSqVTEyKg0w4cP1/67RYsWCAgIQIMGDXD48GF07dpVxMjKZuLEibh48aJOnyaiysS2r2pi22dc1fqOXc2aNWFpaVmkaiUpKQleXl4iRVVxLi4uaNy4MWJjY+Hl5YXc3FykpaXpbFOVzrEwztL+n7y8vIp0+s7Pz0dqamqVOc/69eujZs2aiI2NBWDa5zRp0iTs3bsXhw4dQu3atbXLy/L75uXlVez/ZeE6Mj62fVXjHNn2/ctUzqkqtH3VOrGzsbFBq1atEBERoV2m0WgQERGBkJAQESOrmIyMDNy8eRPe3t5o1aoVrK2tdc7x2rVriIuLqzLnWK9ePXh5eemcg1KpxIkTJ7TnEBISgrS0NJw5c0a7zcGDB6HRaNC2bdtKj7k87t+/j5SUFHh7ewMwzXMSBAGTJk3Czp07cfDgQdSrV09nfVl+30JCQnDhwgWdhnv//v1wdnaGv79/5ZxINce2r2qcI9s+0zmnKtX2GawMo4rasmWLYGtrK2zYsEG4fPmyMH78eMHFxUWnasXUTZ06VTh8+LBw+/Zt4dixY0K3bt2EmjVrCg8fPhQEQRDeeustwdfXVzh48KBw+vRpISQkRAgJCRE5al3p6enCuXPnhHPnzgkAhCVLlgjnzp0T7t69KwiCIHz++eeCi4uLsHv3buH8+fNCv379hHr16gnZ2dnaY/Tq1UsIDg4WTpw4IRw9elRo1KiRMGLECLFOqdRzSk9PF6ZNmyZERkYKt2/fFg4cOCC0bNlSaNSokZCTk2Oy5zRhwgRBJpMJhw8fFhISErSvrKws7TbP+n3Lz88XmjdvLvTo0UOIjo4W9u3bJ7i7uwuzZs0S45SqLbZ9poFtH9s+Q7d91T6xEwRB+PrrrwVfX1/BxsZGaNOmjRAVFSV2SHoZNmyY4O3tLdjY2Ai1atUShg0bJsTGxmrXZ2dnC2+//bZQo0YNwd7eXhgwYICQkJAgYsRFHTp0SABQ5DVmzBhBEArK/mfPni14enoKtra2QteuXYVr167pHCMlJUUYMWKE4OjoKDg7Owuvv/66kJ6eLsLZFCjtnLKysoQePXoI7u7ugrW1tVCnTh3hjTfeKPJH1dTOqbjzASCsX79eu01Zft/u3Lkj9O7dW5BKpULNmjWFqVOnCnl5eZV8NsS2T3xs+9j2Gbrtk/wTMBERERFVcdW6jx0RERGROWFiR0RERGQmmNgRERERmQkmdkRERERmgokdERERkZlgYkdERERkJpjYEREREZkJJnZEREREZoKJHZVJ3bp1sWzZMrHDMBt37tyBRCJBdHS02KEQUSnY9hkW2z7jY2JnZiQSSamvuXPnluu4p06dwvjx4ysUW5cuXbRx2NraolatWnjllVewY8cOvY81d+5cBAUFVSie8ujSpQsmT578zO1u376NkSNHQi6Xw87ODrVr10a/fv1w9epVAICPjw8SEhLQvHlzI0dMVD2w7TMutn1VBxM7M5OQkKB9LVu2DM7OzjrLpk2bpt1WEATk5+eX6bju7u6wt7evcHxvvPEGEhIScPPmTWzfvh3+/v4YPnx4hRtOU5KXl4fu3btDoVBgx44duHbtGsLDw9GiRQukpaUBACwtLeHl5QUrKytxgyUyE2z7xMe2z0QYdOZZMinr168XZDKZ9n3hxMy//fab0LJlS8Ha2lo4dOiQEBsbK/Tt21fw8PAQHBwchOeee07Yv3+/zrHq1KkjLF26VPsegPDtt98K/fv3F6RSqdCwYUNh9+7dpcbTuXNn4b333iuyfN26dQIAnc+cMWOG0KhRI0EqlQr16tUTPvroIyE3N1d7XihhIubFixcLzZs3F+zt7YXatWsLEyZM0Jk4+s6dO/9v315Douq6OID/VfRpdKYmRMlCnKhkzDQsqUQsTCgTTURSyiaLhAzNBO0iSnaxG5UyahBIkUVgeetDUtJFumk3m3GGFLNxRi2a1LQPg6gxrvdDvIfOq5P5vPQ8MLN+MOCec/Y+e+/BxdrnnE2xsbEkl8vJ3d2dli5dSg0NDcJxvV5P0dHR5OHhQd7e3rR9+3YaGBggIqLU1NRJ1zUajZPGo9FoCACZTCabc2E0GgkAaTQam20DoKamJiIiGh0dpZycHJo/fz65u7vTqlWrhGOMMTGOfRz7HBnfsXNAhw8fxpkzZ9DR0YHg4GBYLBbExMTg4cOH0Gg0iI6ORlxcHHp7e3/ZzrFjx5CUlASdToeYmBikpKRgaGhoxv1JTU3F3LlzRY8lZDIZrl69ivb2dqjValRUVKCkpAQAkJycjJycHAQGBgqr8eTkZACAs7MzSktL8e7dO1RWVuLRo0c4ePCg0G5GRgbGxsbw5MkT6PV6nD17FlKpFADw7ds3rF+/HiEhIXjz5g3u3buHL1++ICkpCQCgVqsRFhYmrLw/f/4MX1/fSePx8vKCs7MzampqYLVaf2sO1Gq16O7C/v374e3tDaVSCQDIzMxES0sLqqqqoNPpsGXLFkRHR6Orq2vG882Yo+LYx7HPIfzbmSX7c2ytWm/fvj1t3cDAQCorKxPKU61aCwoKhLLFYiEAdPfuXZtt2lq1EhGtXr2aNm3aZLPuuXPnaOXKlUK5sLCQli9fPu04qqurydPTUygHBQXR0aNHpzz3xIkTtGHDBtF3fX19BIA6OzunHcPPysvLyd3dnWQyGUVGRtLx48fJYDAIx/931fqz2tpamjVrFj179oyIiHp6esjFxYU+ffokOi8qKory8vKm7QtjjoZjH8c+R8Z37BxQaGioqGyxWJCbm4uAgADI5XJIpVJ0dHRMu2oNDg4W/vbw8MDs2bPR39//t/pERHBychLKN2/eRHh4OObNmwepVIqCgoJp+wMADx48QFRUFBYsWACZTAaVSoWvX79iZGQEAJCVlYWioiKEh4ejsLAQOp1OqNvW1oampiZIpVLh899Vo8FgmNF4MjIyYDabcePGDYSFhaG6uhqBgYG4f//+L+tpNBqoVCqUl5cjPDwcAKDX62G1WuHv7y/q2+PHj2fcL8YcGcc+jn2OgBM7B+Th4SEq5+bmor6+HqdOncLTp0+h1WoRFBSE8fHxX7bj6uoqKjs5OWFiYmLG/bFarejq6sLChQsBAC0tLUhJSUFMTAzu3LkDjUaD/Pz8aftjMpkQGxuL4OBg1NbWorW1FRcvXgQAoW5aWhq6u7uhUqmg1+sRGhqKsrIyAD+CfFxcHLRarejT1dWFtWvXznhcMpkMcXFxOHnyJNra2hAREYGioiKb55vNZmzevBlpaWnYvXu38L3FYoGLiwtaW1tF/ero6IBarZ5xvxhzVBz7OPY5At6WwvD8+XPs3LkTCQkJAH78M5lMpn/s+pWVlRgeHkZiYiIAoLm5GX5+fsjPzxfO6enpEdVxc3Ob9A5Ha2srJiYmcOHCBTg7/1iz3Lp1a9L1fH19kZ6ejvT0dOTl5aGiogL79u3DihUrUFtbC4VCYXPH1lTX/R1OTk5QKpVobm6e8vjo6Cji4+OhVCpRXFwsOhYSEgKr1Yr+/n5ERETM+NqMsalx7OPYZ4/4jh3DkiVLUFdXB61Wi7a2Nmzbtu1vrT5/x8jICMxmMz5+/IgXL17g0KFDSE9Px969exEZGSn0p7e3F1VVVTAYDCgtLUV9fb2oHYVCAaPRCK1Wi8HBQYyNjWHx4sX4/v07ysrK0N3djevXr+PSpUuietnZ2WhsbITRaMTbt2/R1NSEgIAAAD8eIQwNDWHr1q14/fo1DAYDGhsbsWvXLiGgKRQKvHz5EiaTCYODg1POk1arRXx8PGpqatDe3o4PHz7g8uXLuHLlCuLj46eclz179qCvrw+lpaUYGBiA2WyG2WzG+Pg4/P39kZKSgh07dqCurg5GoxGvXr3C6dOn0dDQ8H//Jow5Ko59HPvs0r/9kh/7c2y9QDw8PCw6z2g0UmRkJEkkEvL19aXy8vJJL8pO9QJxfX29qJ05c+YIW++nsm7dOmEru5ubG/n4+FBsbCzV1dVNOvfAgQPk6elJUqmUkpOTqaSkRDSW0dFRSkxMJLlcLtryX1xcTD4+PiSRSGjjxo107do10ZgzMzNp0aJF9Ndff5GXlxepVCoaHBwU2n3//j0lJCSQXC4niURCSqWSsrOzaWJigoiIOjs7ac2aNSSRSGxu+R8YGKCsrCxatmwZSaVSkslkFBQUROfPnyer1SrMOX56gdjPz++XW/7Hx8fpyJEjpFAoyNXVlXx8fCghIYF0Op3N+WbMUXHs49jnyJyIiP6pJJIxxhhjjP05/CiWMcYYY8xOcGLHGGOMMWYnOLFjjDHGGLMTnNgxxhhjjNkJTuwYY4wxxuwEJ3aMMcYYY3aCEzvGGGOMMTvBiR1jjDHGmJ3gxI4xxhhjzE5wYscYY4wxZic4sWOMMcYYsxOc2DHGGGOM2Yn/AJcbikHBF4kGAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, @@ -48,13 +49,15 @@ "\n", "from school_project.models.gpu.cat_recognition import CatRecognitionModel as Model\n", "\n", - "os.chdir(os.getcwd()) # Change to root directory of project\n", + "# Change to root directory of project\n", + "os.chdir(os.getcwd())\n", "\n", "\n", "# Generate list of train dataset sizes from 1 to 210, incremented by 13\n", "train_dataset_sizes = np.array(list(range(1, 210, 13))) \n", "\n", "test_prediction_accuracies = np.array([])\n", + "training_times = np.array([])\n", "\n", "for index, train_dataset_size in enumerate(train_dataset_sizes):\n", " clear_output(wait=True)\n", @@ -70,23 +73,41 @@ "\n", " test_prediction_accuracies = np.append(test_prediction_accuracies, \n", " model.test_prediction_accuracy)\n", + " training_times = np.append(training_times,\n", + " model.training_time)\n", " \n", "clear_output(wait=True)\n", "display(f\"Progress: Complete\")\n", "\n", - "# Determine gradient and y-intercept of regression line\n", + "figure, axis = plt.subplots(nrows=1, ncols=2)\n", + "\n", + "# Determine gradient and y-intercept of prediction accuracies regression line\n", "m, c = np.polyfit(train_dataset_sizes, test_prediction_accuracies, deg=1)\n", - "print(f\"Regression Line Gradient: {round(number=m, ndigits=2)}\")\n", + "print(f\"Test Prediction Accuracies Regression Line Gradient: {round(number=m, ndigits=2)}\")\n", "\n", - "plt.xlabel(\"Train Dataset Size\")\n", - "plt.ylabel(\"Test Prediction Accuracy\")\n", + "axis[0].set_xlabel(\"Train Dataset Size\")\n", + "axis[0].set_ylabel(\"Test Prediction Accuracy (%)\")\n", "\n", "# Plot scatter graph of train dataset sizes and prediction accuracies\n", - "plt.scatter(train_dataset_sizes, test_prediction_accuracies, marker='x')\n", + "axis[0].scatter(train_dataset_sizes, test_prediction_accuracies, marker='x')\n", + "\n", + "# Plot regression line\n", + "axis[0].plot(train_dataset_sizes, m * train_dataset_sizes + c)\n", + "\n", + "# Determine gradient and y-intercept of training times regression line\n", + "m, c = np.polyfit(train_dataset_sizes, training_times, deg=1)\n", + "print(f\"Training Times Regression Line Gradient: {round(number=m, ndigits=2)}\")\n", + "\n", + "axis[1].set_xlabel(\"Train Dataset Size\")\n", + "axis[1].set_ylabel(\"Training Time (s)\")\n", + "\n", + "# Plot scatter graph of train dataset sizes and training times\n", + "axis[1].scatter(train_dataset_sizes, training_times, marker='x')\n", "\n", "# Plot regression line\n", - "plt.plot(train_dataset_sizes, m * train_dataset_sizes + c)\n", + "axis[1].plot(train_dataset_sizes, m * train_dataset_sizes + c)\n", "\n", + "plt.tight_layout()\n", "plt.show()" ] }