{ "cells": [ { "cell_type": "code", "execution_count": null, "id": "757919c7", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAHFCAYAAAAOmtghAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB6i0lEQVR4nO3dd1gUV9sG8HvpHaRIEZGmiAiKYgEr1thijS22RI0tJrbXqImJJZ/GxJ5YExQ1GjWiJrFFomJvKFixI1hAFAQEpM/3x8jqCihlYWD3/l3XXLBnz8w8u6vwcKpMEAQBRERERCpCQ+oAiIiIiJSJyQ0RERGpFCY3REREpFKY3BAREZFKYXJDREREKoXJDREREakUJjdERESkUpjcEBERkUphckNEREQqhckNkZJcvnwZw4cPh4uLC/T19aGvr4+aNWti1KhRCA0NlTo8SYSEhEAmk8kPHR0dWFlZoVmzZvj6668RFRWV75zAwEDIZDLcv3+/WPeaN28edu/eXaxzCrpX69atUbdu3WJd53327duHWbNmFfico6Mjhg0bptT7FcXbn82bR58+fQAAMplMIe7r169j1qxZxf5siMqbltQBEKmCNWvW4PPPP4ebmxu+/PJLeHh4QCaTISIiAn/88QcaNWqEO3fuwMXFRepQJTFv3jz4+/sjJycH8fHxOHv2LNatW4clS5bg119/xccffyyv26VLF5w+fRq2trbFvkefPn3Qo0ePIp9T0nsV1759+7BixYoCE5xdu3bBxMSkTO//LnmfzZssLCwAAKdPn4a9vb28/Pr165g9ezZat24NR0fH8gyTqFiY3BCV0smTJzF27Fh06dIFO3bsgI6Ojvy5Nm3aYNy4cfjzzz+hr68vYZTSqlmzJpo2bSp//OGHH2Ly5Mlo164dhg0bBi8vL3h6egIArKysYGVlVabxvHz5Enp6euVyr/fx9vaW9P5vfzZvKqycqKJjtxRRKc2bNw+amppYs2aNQmLzpo8++gh2dnbyx6Ghoejfvz8cHR2hr68PR0dHDBgwIF83TV63yeHDhzFy5EhYWFjAxMQEQ4YMQWpqKmJjY9G3b1+YmZnB1tYWU6ZMQVZWlvz8+/fvQyaT4aeffsKCBQvk92vdujVu3bqFrKwsTJs2DXZ2djA1NUXPnj0RFxenEMO2bdvQoUMH2NraQl9fH+7u7pg2bRpSU1NL9b6Zm5tjzZo1yM7OxpIlS/K95je7PsLCwtC1a1dUrVoVurq6sLOzQ5cuXfDw4UMAYvdJamoqNmzYIO9aad26tcL1Dh48iE8//RRWVlYwMDBARkbGO7vAjh8/jqZNm0JfXx/VqlXDzJkzkZOTI38+r1snJCRE4by89zwwMBAAMGzYMKxYsUIeZ96Rd8+CuqWio6MxaNAg+et1d3fHokWLkJubm+8+CxcuxOLFi+Hk5AQjIyP4+vrizJkzxfgkCvdmt1RgYCA++ugjAIC/v7/8deS9zvd9RkTliS03RKWQk5ODI0eOwMfHp1hdG/fv34ebmxv69+8Pc3NzxMTEYNWqVWjUqBGuX78OS0tLhfojRoxAr169sHXrVoSFhWHGjBnIzs7GzZs30atXL3z22Wf477//sGDBAtjZ2WHSpEkK569YsQJeXl5YsWIFEhMTMXnyZHTr1g1NmjSBtrY21q1bh6ioKEyZMgUjRozA33//LT/39u3b6Ny5MyZMmABDQ0PcuHEDCxYswLlz53D48OFSvX+NGjWCra0tjh07Vmid1NRUtG/fHk5OTlixYgWsra0RGxuLI0eO4MWLFwDE7pM2bdrA398fM2fOBIB8XT2ffvopunTpgk2bNiE1NRXa2tqF3jM2Nhb9+/fHtGnTMGfOHOzduxfff/89nj9/jl9++aVYr3HmzJlITU3Fjh07cPr0aXl5Yf9enj59Cj8/P2RmZmLu3LlwdHTEnj17MGXKFNy9excrV65UqL9ixQrUrl0bS5culd+vc+fOiIyMhKmp6Xvjy83NRXZ2tkKZllb+Xw1dunTBvHnzMGPGDKxYsQINGjQAALi4uBTpMyIqVwIRlVhsbKwAQOjfv3++57Kzs4WsrCz5kZubW+h1srOzhZSUFMHQ0FBYtmyZvHz9+vUCAGH8+PEK9Xv06CEAEBYvXqxQXr9+faFBgwbyx5GRkQIAoV69ekJOTo68fOnSpQIA4cMPP1Q4f8KECQIAISkpqcA4c3NzhaysLOHo0aMCAOHSpUuFviZBEIQjR44IAIQ///yz0DpNmjQR9PX1873myMhIQRAEITQ0VAAg7N69+533MjQ0FIYOHZqvPO96Q4YMKfS5vHsJgiC0atVKACD89ddfCnVHjhwpaGhoCFFRUQqv7ciRIwr18t7z9evXy8vGjRsnFPbjtkaNGgpxT5s2TQAgnD17VqHemDFjBJlMJty8eVPhPp6enkJ2dra83rlz5wQAwh9//FHg/fLkxV/Qcfv2bUEQBAGA8N1338nP+fPPPwt8zUX9jIjKC7uliMpIw4YNoa2tLT8WLVokfy4lJQVfffUVXF1doaWlBS0tLRgZGSE1NRURERH5rtW1a1eFx+7u7gDEv6bfLi9oBlLnzp2hoaGhUK+w8wGxWyTPvXv3MHDgQNjY2EBTUxPa2tpo1aoVABQYa3EJgvDO511dXVGlShV89dVXWL16Na5fv16i+/Tu3bvIdY2NjfHhhx8qlA0cOBC5ubnvbGVShsOHD6NOnTpo3LixQvmwYcMgCEK+1rIuXbpAU1NT/tjLywsACvx3UJAFCxbg/PnzCkf16tWLFbOyPiMiZWG3FFEpWFpaQl9fv8BfJFu2bEFaWhpiYmIK/EV56NAhzJw5E40aNYKJiQlkMhk6d+6Mly9f5ruWubm5wuO8sT0Flaenp5fqfADya6SkpKBFixbQ09PD999/j1q1asHAwAAPHjxAr169Coy1uKKjoxXGI73N1NQUR48exf/93/9hxowZeP78OWxtbTFy5Eh888037+xeelNxug2tra3zldnY2AAA4uPji3ydkoiPjy9wJlLee/T2/fNmNuXR1dUFgCJ/Ns7OzvDx8SlBpK8p6zMiUhYmN0SloKmpiTZt2uDgwYOIiYlR+AVap04dAMg3WDUpKQl79uzBd999h2nTpsnLMzIykJCQUC5xF9Xhw4fx+PFjhISEyFtrACAxMVEp1z937hxiY2MxfPjwd9bz9PTE1q1bIQgCLl++jMDAQMyZMwf6+voK7+G7yGSyIsf15MmTfGWxsbEAXicTenp6AMTP7U3Pnj0r8n0KYmFhgZiYmHzljx8/BoB847EqCmV8RkTKwm4polKaPn06cnJyMHr0aIWZSoWRyWQQBEH+F3ae3377TWE2TkWQlxC8HeuaNWtKfe2EhASMHj0a2tramDhxYpHjqVevHpYsWQIzMzNcvHhR/pyurq5SWpIA4MWLFwqDqgGxJU5DQwMtW7YEAHnryuXLlxXqvX1eXmxA0VpT2rZti+vXryu8NgDYuHEjZDJZvjVpylNRXse7PiOi8sKWG6JSatasGVasWIHx48ejQYMG+Oyzz+Dh4QENDQ3ExMQgKCgIwOvZOyYmJmjZsiV++uknWFpawtHREUePHkVAQADMzMwkfCX5+fn5oUqVKhg9ejS+++47aGtrY/Pmzbh06VKxrnP79m2cOXMGubm58kX8AgICkJycjI0bN8LDw6PQc/fs2YOVK1eiR48ecHZ2hiAI2LlzJxITE9G+fXt5PU9PT4SEhOCff/6Bra0tjI2N4ebmVqLXbWFhgTFjxiA6Ohq1atXCvn378Ouvv2LMmDFwcHAAIHZTtWvXDvPnz0eVKlVQo0YNHDp0CDt37sx3vbw1fBYsWIBOnTpBU1MTXl5eBS4dMHHiRGzcuBFdunTBnDlzUKNGDezduxcrV67EmDFjUKtWrRK9JmXIW7l57dq1MDY2hp6eHpycnHD69OkifUZE5YXJDZESjB49Gr6+vli2bBmWLFmCx48fQyaTwd7eHn5+fjh06BDatGkjr79lyxZ8+eWXmDp1KrKzs9GsWTMEBwfnG+ArNQsLC+zduxeTJ0/GoEGDYGhoiO7du2Pbtm3yqcBFMWPGDADiFGNTU1PUqlULn376KT777DPUqFHjnefWrFkTZmZm+PHHH/H48WPo6OjAzc0NgYGBGDp0qLzesmXLMG7cOPTv3x9paWlo1apVvjVoisrGxgYrVqzAlClTcOXKFZibm2PGjBmYPXu2Qr1NmzZh/Pjx+Oqrr5CTk4Nu3brhjz/+yDeGZeDAgTh58iRWrlyJOXPmQBAEREZGFji2xsrKCqdOncL06dMxffp0JCcnw9nZGT/++GO+Kf7lzcnJCUuXLsWyZcvQunVr5OTkYP369fD19S3SZ0RUXmTC+6YqEBEREVUiHHNDREREKoXJDREREakUJjdERESkUpjcEBERkUphckNEREQqhckNERERqRS1W+cmNzcXjx8/hrGxcbGWYyciIiLpCIKAFy9ewM7OTmEj4IKoXXLz+PHjYu94S0RERBXDgwcPYG9v/846apfcGBsbAxDfnLzl8ImIiKhiS05ORvXq1eW/x99F0uRm/vz52LlzJ27cuAF9fX34+flhwYIF79wPJiQkpMCN4yIiIlC7du333jOvK8rExITJDRERUSVTlCElkg4oPnr0KMaNG4czZ84gODgY2dnZ6NChA1JTU9977s2bNxETEyM/atasWQ4RExERUUUnacvNgQMHFB6vX78eVatWxYULF9CyZct3nlu1atUKt4MyERERSa9CTQVPSkoCAJibm7+3rre3N2xtbdG2bVscOXKk0HoZGRlITk5WOIiIiEh1VZgBxYIgYNKkSWjevDnq1q1baD1bW1usXbsWDRs2REZGBjZt2oS2bdsiJCSkwNae+fPnY/bs2WUZOhERAcjJyUFWVpbUYVAlpqOj895p3kUhEwRBUEI8pTZu3Djs3bsXJ06ceO8Ur7d169YNMpkMf//9d77nMjIykJGRIX+cN9o6KSmJA4qJiJRAEATExsYiMTFR6lCoktPQ0ICTkxN0dHTyPZecnAxTU9Mi/f6uEC0348ePx99//41jx44VO7EBgKZNm+L3338v8DldXV3o6uqWNkQiIipEXmJTtWpVGBgYcIFUKpG8RXZjYmLg4OBQqn9HkiY3giBg/Pjx2LVrF0JCQuDk5FSi64SFhcHW1lbJ0RER0fvk5OTIExsLCwupw6FKzsrKCo8fP0Z2dja0tbVLfB1Jk5tx48Zhy5Yt+Ouvv2BsbIzY2FgAgKmpKfT19QEA06dPx6NHj7Bx40YAwNKlS+Ho6AgPDw9kZmbi999/R1BQEIKCgiR7HURE6ipvjI2BgYHEkZAqyOuOysnJqbzJzapVqwAArVu3Vihfv349hg0bBgCIiYlBdHS0/LnMzExMmTIFjx49gr6+Pjw8PLB371507ty5vMImIqK3sCuKlEFZ/44qzIDi8lKcAUlERPRu6enpiIyMhJOTE/T09KQOhyq5d/17Ks7v7wq1zg0REZEqun//PmQyGcLDw6UORS1UiNlSRESkepYE3yrX+01sX6tE5506dQotWrRA+/bt862cf//+/UInu5w+fRpNmzYt0T2LYtiwYUhMTMTu3bvL7B6qiskNERGptXXr1mH8+PH47bffEB0dDQcHh3x1/vvvP3h4eCiUcXZYxcVuKSIiUlupqanYvn07xowZg65duyIwMLDAehYWFrCxsVE43jWb59y5c/D29oaenh58fHwQFham8HxOTg6GDx8OJycn6Ovrw83NDcuWLZM/P2vWLGzYsAF//fUXZDIZZDIZQkJCAABfffUVatWqBQMDAzg7O2PmzJlcGfotbLkhIiK1tW3bNri5ucHNzQ2DBg3C+PHjMXPmzFLN2klNTUXXrl3Rpk0b/P7774iMjMSXX36pUCc3Nxf29vbYvn07LC0tcerUKXz22WewtbVF3759MWXKFERERCA5ORnr168H8HrfRWNjYwQGBsLOzg5XrlzByJEjYWxsjKlTp5b8jVAxTG6IqNJR1liOko7RINUREBCAQYMGAQA++OADpKSk4NChQ2jXrp1CPT8/v3x7HiUlJUFTUzPfNTdv3oycnBysW7cOBgYG8PDwwMOHDzFmzBh5HW1tbYV9D52cnHDq1Cls374dffv2hZGREfT19ZGRkQEbGxuF63/zzTfy7x0dHTF58mRs27aNyc0bmNwQEZFaunnzJs6dO4edO3cCALS0tNCvXz+sW7cuX3Kzbds2uLu7K5QVlNgAQEREBOrVq6ewsKGvr2++eqtXr8Zvv/2GqKgovHz5EpmZmahfv/57496xYweWLl2KO3fuICUlBdnZ2Vza5C1MboiISC0FBAQgOzsb1apVk5cJggBtbW08f/4cVapUkZdXr14drq6uRbpuUZaP2759OyZOnIhFixbB19cXxsbG+Omnn3D27Nl3nnfmzBn0798fs2fPRseOHWFqaoqtW7di0aJFRYpNXTC5ISIitZOdnY2NGzdi0aJF6NChg8JzvXv3xubNm/H555+X6Np16tTBpk2b8PLlS/lWQmfOnFGoc/z4cfj5+WHs2LHysrt37yrU0dHRQU5OjkLZyZMnUaNGDXz99dfysqioqBLFqco4W4qIiNTOnj178Pz5cwwfPhx169ZVOPr06YOAgACF+vHx8YiNjVU40tPTC7z2wIEDoaGhgeHDh+P69evYt28fFi5cqFDH1dUVoaGh+Pfff3Hr1i3MnDkT58+fV6jj6OiIy5cv4+bNm3j27BmysrLg6uqK6OhobN26FXfv3sXy5cuxa9cu5b45KoDJDRERqZ2AgAC0a9cOpqam+Z7r3bs3wsPDcfHiRXlZu3btYGtrq3AUtriekZER/vnnH1y/fh3e3t74+uuvsWDBAoU6o0ePRq9evdCvXz80adIE8fHxCq04ADBy5Ei4ubnBx8cHVlZWOHnyJLp3746JEyfi888/R/369XHq1CnMnDmz9G+IiuHeUkRU6XC2VMXBvaVImbi3FBEREVEBmNwQERGRSmFyQ0RERCqFyQ0RERGpFCY3REREpFKY3BAREZFKYXJDREREKoXJDREREakUJjdERESkUpjcEBERlZOQkBDIZDIkJiZKHYpK467gRERUNo7ML9/7+U8vVvVhw4Zhw4YNmD9/PqZNmyYv3717N3r27Ik3dycSBAG//vorAgICcO3aNWhpacHV1RWDBg3CZ599BgMDA6W9jLe1bt0a9evXx9KlS8vsHqqGLTdERKS29PT0sGDBAjx//vyd9QYPHowJEyage/fuOHLkCMLDwzFz5kz89ddfOHjwYDlFS0XF5IaIiNRWu3btYGNjg/nzC29l2r59OzZv3ow//vgDM2bMQKNGjeDo6Iju3bvj8OHD8Pf3L/Tcffv2oVatWtDX14e/vz/u37+v8Hx8fDwGDBgAe3t7GBgYwNPTE3/88Yf8+WHDhuHo0aNYtmwZZDIZZDIZ7t+/j5ycHAwfPhxOTk7Q19eHm5sbli1bVur3Q1UwuSEiIrWlqamJefPm4eeff8bDhw8LrLN582a4ubmhe/fu+Z6TyWQwNTUt8LwHDx6gV69e6Ny5M8LDwzFixAiF7i9A3AW7YcOG2LNnD65evYrPPvsMgwcPxtmzZwEAy5Ytg6+vL0aOHImYmBjExMSgevXqyM3Nhb29PbZv347r16/j22+/xYwZM7B9+/ZSviOqgWNuiIhIrfXs2RP169fHd999h4CAgHzP3759G25ubsW+7qpVq+Ds7IwlS5ZAJpPBzc0NV65cwYIFC+R1qlWrhilTpsgfjx8/HgcOHMCff/6JJk2awNTUFDo6OjAwMICNjY28nqamJmbPni1/7OTkhFOnTmH79u3o27dvsWNVNUxuiIhI7S1YsABt2rTB5MmT8z0nCAJkMlmxrxkREYGmTZsqnOvr66tQJycnBz/88AO2bduGR48eISMjAxkZGTA0NHzv9VevXo3ffvsNUVFRePnyJTIzM1G/fv1ix6mK2C1FRERqr2XLlujYsSNmzJiR77latWohIiKi2Nd8c7ZVYRYtWoQlS5Zg6tSpOHz4MMLDw9GxY0dkZma+87zt27dj4sSJ+PTTT3Hw4EGEh4fjk08+ee956oItN0RERAB++OEH1K9fH7Vq1VIoHzhwIPr374+//vor37gbQRCQnJxc4LibOnXqYPfu3QplZ86cUXh8/PhxdO/eHYMGDQIA5Obm4vbt23B3d5fX0dHRQU5OTr7z/Pz8MHbsWHnZ3bt3i/5iVRxbboiIiAB4enri448/xs8//6xQ3rdvX/Tr1w8DBgzA/PnzERoaiqioKOzZswft2rXDkSNHCrze6NGjcffuXUyaNAk3b97Eli1bEBgYqFDH1dUVwcHBOHXqFCIiIjBq1CjExsYq1HF0dMTZs2dx//59PHv2DLm5uXB1dUVoaCj+/fdf3Lp1CzNnzsT58+eV+n5UZkxuiIiIXpk7d26+7iSZTIYtW7Zg8eLF2LVrF1q1agUvLy/MmjUL3bt3R8eOHQu8loODA4KCgvDPP/+gXr16WL16NebNm6dQZ+bMmWjQoAE6duyI1q1bw8bGBj169FCoM2XKFGhqaqJOnTqwsrJCdHQ0Ro8ejV69eqFfv35o0qQJ4uPjFVpx1J1MKEqnoArJaz5MSkqCiYmJ1OEQUQksCb6llOtMbF/r/ZXondLT0xEZGQknJyfo6elJHQ5Vcu/691Sc399suSEiIiKVwuSGiIiIVAqTGyIiIlIpTG6IiIhIpTC5ISIiIpXC5IaIiIhUCpMbIiIiUilMboiIiEilMLkhIiIilcLkhoiISA3s3r0brq6u0NTUxIQJExAYGAgzMzOpwyoTTG6IiEhtxcbG4ssvv4Srqyv09PRgbW2N5s2bY/Xq1UhLS5M6PKUaNWoU+vTpgwcPHmDu3Lno168fbt16vZXJrFmzUL9+/SJf7+HDh9DR0UHt2rULfF4mkxV4bN26tbQv5b20yvwOREREFdC9e/fQrFkzmJmZYd68efD09ER2djZu3bqFdevWwc7ODh9++KHUYSpFSkoK4uLi0LFjR9jZ2cnL9fX1S3zNwMBA9O3bF8eOHcPJkyfRrFmzfHXWr1+PDz74QKGsPFqL2HJDRERqaezYsdDS0kJoaCj69u0Ld3d3eHp6onfv3ti7dy+6desmr7t48WJ4enrC0NAQ1atXx9ixY5GSkiJ/Pq+LZ8+ePXBzc4OBgQH69OmD1NRUbNiwAY6OjqhSpQrGjx+PnJwc+XmOjo74/vvvMWTIEBgZGaFGjRr466+/8PTpU3Tv3h1GRkbw9PREaGio/Jz4+HgMGDAA9vb2MDAwgKenJ/74449CX2dISAiMjY0BAG3atIFMJkNISIhCt1RgYCBmz56NS5cuyVtYAgMDC72mIAhYv349Bg8ejIEDByIgIKDAemZmZrCxsVE4ymODVSY3RESkXIIApKZKcwhCkUKMj4/HwYMHMW7cOBgaGhZYRyaTyb/X0NDA8uXLcfXqVWzYsAGHDx/G1KlTFeqnpaVh+fLl2Lp1Kw4cOICQkBD06tUL+/btw759+7Bp0yasXbsWO3bsUDhvyZIlaNasGcLCwtClSxcMHjwYQ4YMwaBBg3Dx4kW4urpiyJAhEF69tvT0dDRs2BB79uzB1atX8dlnn2Hw4ME4e/Zsga/Dz88PN2/eBAAEBQUhJiYGfn5+CnX69euHyZMnw8PDAzExMYiJiUG/fv0Kff+OHDmCtLQ0tGvXDoMHD8b27dvx4sWLQuuXN3ZLERGRcqWlAUZG0tw7JQUoJFl50507dyAIAtzc3BTKLS0tkZ6eDgAYN24cFixYAACYMGGCvI6TkxPmzp2LMWPGYOXKlfLyrKwsrFq1Ci4uLgCAPn36YNOmTXjy5AmMjIxQp04d+Pv748iRIwqJQ+fOnTFq1CgAwLfffotVq1ahUaNG+OijjwAAX331FXx9ffHkyRPY2NigWrVqmDJlivz88ePH48CBA/jzzz/RpEmTfK9VR0cHVatWBQCYm5vDxsYmXx19fX0YGRlBS0urwOffFhAQgP79+0NTUxMeHh5wdXXFtm3bMGLECIV6AwYMgKampkLZ5cuX4ezs/N57lAaTGyIiUltvts4AwLlz55Cbm4uPP/4YGRkZ8vIjR45g3rx5uH79OpKTk5GdnY309HSkpqbKW34MDAzkiQ0AWFtbw9HREUZvJHrW1taIi4tTuKeXl5fC8wDg6emZrywuLg42NjbIycnBDz/8gG3btuHRo0fIyMhARkZGoS1QypaYmIidO3fixIkT8rJBgwZh3bp1+ZKbJUuWoF27dgpl1atXL/MYmdwQEZFyGRiILShS3bsIXF1dIZPJcOPGDYXyvBaFNwfaRkVFoXPnzhg9ejTmzp0Lc3NznDhxAsOHD0dWVpa8nra2tsK1ZDJZgWW5ubkKZW/WyUu2CirLO2/RokVYsmQJli5dKh8HNGHCBGRmZhbptZfWli1bkJ6ertBKJAgCcnNzcf36ddSpU0debmNjA1dX13KJ601MboiISLlksiJ1DUnJwsIC7du3xy+//ILx48e/s9UjNDQU2dnZWLRoETQ0xKGq27dvL69Q8zl+/Di6d++OQYMGARCTntu3b8Pd3b1U19XR0VEY7FyYgIAATJ48GcOGDVMo/+KLL7Bu3TosXLiwVHEoAwcUExGRWlq5ciWys7Ph4+ODbdu2ISIiAjdv3sTvv/+OGzduyMeKuLi4IDs7Gz///DPu3buHTZs2YfXq1ZLF7erqiuDgYJw6dQoREREYNWoUYmNjS31dR0dHREZGIjw8HM+ePVPolssTHh6OixcvYsSIEahbt67CMWDAAGzcuFGhNSsxMRGxsbEKR2pqaqljfR8mN0REpJZcXFwQFhaGdu3aYfr06ahXrx58fHzw888/Y8qUKZg7dy4AoH79+li8eDEWLFiAunXrYvPmzZg/f75kcc+cORMNGjRAx44d0bp1a9jY2KBHjx6lvm7v3r3xwQcfwN/fH1ZWVgVOLw8ICECdOnUKXLivR48eSEhIwD///CMv++STT2Bra6tw/Pzzz6WO9X1kglDEeXMqIjk5GaampkhKSoKJiYnU4RBRCSwJvvX+SkUwsX0tpVxHnaWnpyMyMhJOTk7lsn4JqbZ3/Xsqzu9vttwQERGRSmFyQ0RERCqFyQ0RERGpFCY3REREpFKY3BAREZFKYXJDREREKoXJDREREakUJjdERESkUiRNbubPn49GjRrB2NgYVatWRY8ePXDz5s33nnf06FE0bNgQenp6cHZ2lnQZbCIiIqpYJE1ujh49inHjxuHMmTMIDg5GdnY2OnTo8M59JyIjI9G5c2e0aNECYWFhmDFjBr744gsEBQWVY+RERESVy+7du+Hq6gpNTU1MmDABgYGBMDMzkzqsMiFpcnPgwAEMGzYMHh4eqFevHtavX4/o6GhcuHCh0HNWr14NBwcHLF26FO7u7hgxYgQ+/fTTCrELKRERVS6xsbH48ssv4erqCj09PVhbW6N58+ZYvXo10tLSpA5PqUaNGoU+ffrgwYMHmDt3Lvr164dbt15vZTJr1izUr1//vdeZNWsWZDIZRo8erVAeHh4OmUyG+/fvK5QHBQWhdevWMDU1hZGREby8vDBnzhwkJCQo42UVqEKNuUlKSgIAmJubF1rn9OnT6NChg0JZx44dERoaqrATaZ6MjAwkJycrHERERPfu3YO3tzcOHjyIefPmISwsDP/99x8mTpyIf/75B//995/UISpNSkoK4uLi0LFjR9jZ2cHY2Bj6+vqoWrVqia6np6eHgIAAheSoIF9//TX69euHRo0aYf/+/bh69SoWLVqES5cuYdOmTSW6d1FUmORGEARMmjQJzZs3R926dQutFxsbC2tra4Uya2trZGdn49mzZ/nqz58/H6ampvKjevXqSo+diIgqn7Fjx0JLSwuhoaHo27cv3N3d4enpid69e2Pv3r3o1q2bvO7ixYvh6ekJQ0NDVK9eHWPHjkVKSor8+bwunj179sDNzQ0GBgbo06cPUlNTsWHDBjg6OqJKlSoYP348cnJy5Oc5Ojri+++/x5AhQ2BkZIQaNWrgr7/+wtOnT9G9e3cYGRnB09MToaGh8nPi4+MxYMAA2Nvbw8DAAJ6engXu4J0nJCQExsbGAIA2bdpAJpMhJCREoVsqMDAQs2fPxqVLlyCTySCTyRAYGFjoNd3c3ODv749vvvmm0Drnzp3DvHnzsGjRIvz000/w8/ODo6Mj2rdvj6CgIAwdOrTQc0urwiQ3n3/+OS5fvvzODyiPTCZTeJy3sfnb5QAwffp0JCUlyY8HDx4oJ2AiIiqQIACpqdIcr34dvFd8fDwOHjyIcePGwdDQsMA6b/5O0dDQwPLly3H16lVs2LABhw8fxtSpUxXqp6WlYfny5di6dSsOHDiAkJAQ9OrVC/v27cO+ffuwadMmrF27Fjt27FA4b8mSJWjWrBnCwsLQpUsXDB48GEOGDMGgQYNw8eJFuLq6YsiQIfLfdenp6WjYsCH27NmDq1ev4rPPPsPgwYNx9uzZAl+Hn5+ffLJOUFAQYmJi4Ofnp1CnX79+mDx5Mjw8PBATE4OYmBj069fvne/hDz/8gKCgIJw/f77A5zdv3gwjIyOMHTu2wOfLcryPVplduRjGjx+Pv//+G8eOHYO9vf0769rY2CA2NlahLC4uDlpaWrCwsMhXX1dXF7q6ukqNl4iICpeWBhgZSXPvlBSgkFxFwZ07dyAIAtzc3BTKLS0tkZ6eDgAYN24cFixYAACYMGGCvI6TkxPmzp2LMWPGYOXKlfLyrKwsrFq1Ci4uLgCAPn36YNOmTXjy5AmMjIxQp04d+Pv748iRIwqJQ+fOnTFq1CgAwLfffotVq1ahUaNG+OijjwAAX331FXx9ffHkyRPY2NigWrVqmDJlivz88ePH48CBA/jzzz/RpEmTfK9VR0dH3v1kbm4OGxubfHX09fVhZGQELS2tAp8vSIMGDdC3b19MmzYNhw4dyvf87du34ezsDG1t7SJdT5kkTW4EQcD48eOxa9cuhISEwMnJ6b3n+Pr64p9//lEoO3jwIHx8fCR5A4mIqPJ6u8X/3LlzyM3Nxccff4yMjAx5+ZEjRzBv3jxcv34dycnJyM7ORnp6OlJTU+UtPwYGBvLEBhCHTDg6OsLojUzP2toacXFxCvf08vJSeB4APD0985XFxcXBxsYGOTk5+OGHH7Bt2zY8evQIGRkZyMjIKLQFqix9//33cHd3x8GDB/ON3xEEocAelfIgabfUuHHj8Pvvv2PLli0wNjZGbGwsYmNj8fLlS3md6dOnY8iQIfLHo0ePRlRUFCZNmoSIiAisW7cOAQEBClksERFJx8BAbEGR4jAwKFqMrq6ukMlkuHHjhkK5s7MzXF1doa+vLy+LiopC586dUbduXQQFBeHChQtYsWIFAChMZHn7D2yZTFZgWW5urkLZm3XykoGCyvLOW7RoEZYsWYKpU6fi8OHDCA8PR8eOHZGZmVm0F69ELi4uGDlyJKZNmybvNstTq1Yt3L17t8DJPmVN0uRm1apVSEpKQuvWrWFrays/tm3bJq8TExOD6Oho+WMnJyfs27cPISEhqF+/PubOnYvly5ejd+/eUrwEIiJ6i0wmdg1JcRS1ocDCwgLt27fHL7/88s611QAgNDQU2dnZWLRoEZo2bYpatWrh8ePHSninSub48ePo3r07Bg0ahHr16sHZ2Rm3b98u9XV1dHQUBjsX1bfffotbt25h69atCuUDBw5ESkqKQtfdmxITE0sSZpFI3i31PgWN1m7VqhUuXrxYBhEREZG6WLlyJZo1awYfHx/MmjULXl5e0NDQwPnz53Hjxg00bNgQgNg6kZ2djZ9//hndunXDyZMnJV0Z39XVFUFBQTh16hSqVKmCxYsXIzY2Fu7u7qW6rqOjIyIjIxEeHg57e3sYGxsXacyqtbU1Jk2ahJ9++kmhvEmTJpg6dSomT56MR48eoWfPnrCzs8OdO3ewevVqNG/eHF9++WWpYi5MhZktRUREVJ5cXFwQFhaGdu3aYfr06ahXrx58fHzw888/Y8qUKZg7dy4AoH79+li8eDEWLFiAunXrYvPmzZg/f75kcc+cORMNGjRAx44d0bp1a9jY2KBHjx6lvm7v3r3xwQcfwN/fH1ZWVkWavZznf//7n8LYojwLFizAli1bcPbsWXTs2BEeHh6YNGkSvLy8ynQquEwoSvOJCklOToapqSmSkpJgYmIidThEVAJLgt+9cFhRTWxfSynXUWfp6emIjIyEk5MT9PT0pA6HKrl3/Xsqzu9vttwQERGRSmFyQ0RERCqFyQ0RERGpFCY3REREpFKY3BARUamp2dwUKiPK+nfE5IaIiEosbyXdtLQ0iSMhVZC3yrKmpmaprlMhNs4kIqLKSVNTE2ZmZvL9kgwMDCTbT4gqt9zcXDx9+hQGBgbQ0ipdesLkhoiISiVvF+m3N4QkKi4NDQ04ODiUOkFmckNERKUik8lga2uLqlWrSrJJIqkOHR0daGiUfsQMkxsiIlIKTU3NUo+VIFIGDigmIiIilcLkhoiIiFQKkxsiIiJSKUxuiIiISKUwuSEiIiKVwuSGiIiIVAqTGyIiIlIpXOeGqKwdmV/29/CfXvb3ICKqJNhyQ0RERCqFyQ0RERGpFCY3REREpFKY3BAREZFKYXJDREREKoXJDREREakUJjdERESkUpjcEBERkUphckNEREQqhckNERERqRQmN0RERKRSmNwQERGRSmFyQ0RERCqFyQ0RERGpFCY3REREpFKY3BAREZFKYXJDREREKoXJDREREakUJjdERESkUpjcEBERkUphckNEREQqhckNERERqRQmN0RERKRStKQOgKjSOTJf6gjyK25M/tPLJg4iogqALTdERESkUthyQ1QOHj8zws+7GuJMRDXo62Sjc5O7GNElHHo6OVKHRkSkcpjcEJWxPadd8fG8bkhO1ZOX7T/ngl92N8SeeX/CtdpzCaMjIlI97JYiKkP/nndCz297ITlVD41rP8a6/+3BwtGHYGOegpsPLND8i0GIijWROkwiIpXC5IaojEQ/McGA77sjO0cT/f2v48TyTfik0xVM7nsOYWvXwdM5Dk+eG+HDb/ogI1NT6nCJiFQGkxuiMiAIwJilHfH8hT4a136MwK/2QFsrV/68jXkq9s7bDiuzVFy+Z43vAltIGC0RkWphckNUBvafdcG+s67Q0c5G4Fd7oFvAwOHqVV/g18n7AQCL/myMG9Hm5R0mEZFKYnJDpGS5ucCMgFYAgC96hsK9Rnyhdbs3u41uvreRnaOJqWvalFeIREQqjckNkZLtO+uKS3etYWyQgWkDzry3/k+jDkMmE/DP6Zq4cs+qHCIkIlJtTG6IlGzh9sYAgNHdwmBh+vK99d0cEtCn5Q0AwA9/+JZpbERE6oDJDZESRURZ4OilGtDUyMWXvc4X+bzpA08DALYecce9x2ZlFB0RkXpgckOkRBv+9QQAdG5yF9WsUop8nnfNJ+jY6B5yczWwbKdPWYVHRKQWmNwQKUl2jgwbg+sCAD754HKxz5/QW2zp+f2/ulz3hoioFJjcECnJwfPOiIk3hqVpGro0vVPs89s3jIS9VTISkvXx16maZRAhEZF6YHJDpCQbDoqtNh+3vQYd7dz31M5PU1PAsI5XAADr9tdTamxEROqEyQ2REqRnamLvGVcAwKD2V0t8nWEdxe6sg6FOeBBnrJTYiIjUDZMbIiU4dNERqek6sLdKRsNasSW+jku1RLSuHwVBkGHLIQ8lRkhEpD4kTW6OHTuGbt26wc7ODjKZDLt3735n/ZCQEMhksnzHjRs3yidgokLsPlELAPCh323IZKW7Vn//6wCAoGNupQ2LiEgtSZrcpKamol69evjll1+Kdd7NmzcRExMjP2rW5OBLkk5uLvDPabFLqrvf7VJfr0ezW9DQyMX5m3aIijUp9fWIiNSNlpQ379SpEzp16lTs86pWrQozMzPlB0RUAmcjquHJcyOYGKajdf2oUl/P2jwNLb0eICS8BoKOu2HSR0VfDJCIiCrpmBtvb2/Y2tqibdu2OHLkiNThkJr7+5TYatOp8b0SzZIqSN52DDuO1lbK9YiI1EmlSm5sbW2xdu1aBAUFYefOnXBzc0Pbtm1x7NixQs/JyMhAcnKywkGkTMEXnAAAXZrcVdo1eza/BZlMwOnr9nj01Ehp1yUiUgeSdksVl5ubG9zcXg+y9PX1xYMHD7Bw4UK0bNmywHPmz5+P2bNnl1eIpGYSkvVw8bYNAKBtg/tKu66dZQqauj/C6ev22HvWFZ91DVfatYmIVF2larkpSNOmTXH7duGDOKdPn46kpCT58eDBg3KMjlRdSLgDBEEG9xrPYGdZ9L2kiqJLU7ElaN9ZF6Vel4hI1VX65CYsLAy2traFPq+rqwsTExOFg0hZ/rsodkm19b6v9Gt3ftXN9d8FR+41RURUDJJ2S6WkpODOndd78ERGRiI8PBzm5uZwcHDA9OnT8ejRI2zcuBEAsHTpUjg6OsLDwwOZmZn4/fffERQUhKCgIKleAqm5QxdrAADaNbyv9GvXd30CW4sXiIk3xrHL1dHeR/n3ICJSRZK23ISGhsLb2xve3t4AgEmTJsHb2xvffvstACAmJgbR0dHy+pmZmZgyZQq8vLzQokULnDhxAnv37kWvXr0kiZ/U24M4Y9x6aAENjVy0qhf9/hOKSSZ73XrDrikioqKTtOWmdevWEASh0OcDAwMVHk+dOhVTp04t46iIiuZwmCMAwKdWLMyMMsrkHp0b30XAvvrYe9YVS8YdKpN7EBGpmko/5oZIKieu2ANAmbTa5GnX8D40NXJx+6E57sealtl9iIhUCZMbohI6eU1MbprXLbsZeCaGmWhc+zEA4EiYQ5ndh4hIlTC5ISqBhGQ9RERZAgD86j4q03u1bSBu6XDoVTcYERG9G5MbohI49arVxq16PCxNX5bpvdq8mmZ+OKwG3jFEjYiIXilRchMZGansOIgqlbzxNs3qPizze/l6PIKeThZi4o1xI9qizO9HRFTZlSi5cXV1hb+/P37//Xekp6crOyaiCq88xtvk0dPJkSdRh8NqlPn9iIgquxIlN5cuXYK3tzcmT54MGxsbjBo1CufOnVN2bEQVUkamJs7fEFfFblbG423ytPEWx90wuSEier8SJTd169bF4sWL8ejRI6xfvx6xsbFo3rw5PDw8sHjxYjx9+lTZcRJVGGF3rJGRpQVL0zTUtE8ol3vmJTdHwmsgJ0dWLvckIqqsSjWgWEtLCz179sT27duxYMEC3L17F1OmTIG9vT2GDBmCmJgYZcVJVGGcu2EHAGji/hiycsozfNxiYGyQgecv9HHpbtXyuSkRUSVVquQmNDQUY8eOha2tLRYvXowpU6bg7t27OHz4MB49eoTu3bsrK06iCiOvSypv/ZnyoKUpoJWXuFggu6aIiN6tRMnN4sWL4enpCT8/Pzx+/BgbN25EVFQUvv/+ezg5OaFZs2ZYs2YNLl68qOx4iSR37lVy08itfFsmX4+7cSzX+xIRVTYl2ltq1apV+PTTT/HJJ5/AxsamwDoODg4ICAgoVXBEFU1iInDroTgdu1Ht8k1u8rZ5OHWtGnJyZNDU5KI3REQFKVFyExwcDAcHB2hoKDb8CIKABw8ewMHBATo6Ohg6dKhSgiSqKEJDxa9Ots/LfPG+t3m5xMFIPwNJqXq4dt8SXi4cuE9EVJASdUu5uLjg2bNn+coTEhLg5ORU6qCIKqrz58Wvjcu51QYQx9341hHH+Zy4Wr3c709EVFmUKLkRClkDPiUlBXp6eqUKiKgiy1vOqbzH2+Rp7ikuGpi3QjIREeVXrG6pSZMmAQBkMhm+/fZbGBgYyJ/LycnB2bNnUb9+faUGSFSRvG65Kb+ZUm9q/mql4hNXmdwQERWmWMlNWFgYALHl5sqVK9DR0ZE/p6Ojg3r16mHKlCnKjZCognjyBHj0CJDJBHjXfCJJDE3cH0NTIxcP4kwR/cQEDtbJksRBRFSRFSu5OXLkCADgk08+wbJly2BiYlImQRFVROHh4tda9gkw0s+SJAZD/Sw0qBmL8zftcOKqPQZaX5ckDiKiiqxEY27Wr1/PxIbUTl5y4+0qTatNnuaer7qmrnBQMRFRQYrcctOrVy8EBgbCxMQEvXr1emfdnTt3ljowoormVa8s6kud3NR9gCU7GnPcDRFRIYqc3JiamkL2aiMdU1PTMguIqKLKa7mROrlp9mpQ8dVIKzx/oYcqxumSxkNEVNEUOblZv359gd8TqYOUFODWLfH7+i7SJjfW5mmoZR+PWw8tcOpaNXRpelfSeIiIKpoSjbl5+fIl0tLS5I+joqKwdOlSHDx4UGmBEVUkV64AggDY2orJhdTyWm9OX6smcSRERBVPiZKb7t27Y+PGjQCAxMRENG7cGIsWLUL37t2xatUqpQZIVBHIu6TqSxnFa01frVR8JsJO4kiIiCqeEiU3Fy9eRIsWLQAAO3bsgI2NDaKiorBx40YsX75cqQESVQR5g4m9vaWNI09T90cAgHM37JCTI5M4GiKiiqVEyU1aWhqMjY0BAAcPHkSvXr2goaGBpk2bIioqSqkBElUEFa3lxsPxGQz1MvEiTRc3oi2kDoeIqEIpUXLj6uqK3bt348GDB/j333/RoUMHAEBcXBzXvyGVk50tjrkBKk5yo6kpoNGrzTvZNUVEpKhEyc23336LKVOmwNHREU2aNIGvry8AsRXHu6K02xMpyc2bQHo6YGQEuLhIHc1reV1TZ65zUDER0ZuKtf1Cnj59+qB58+aIiYlBvXr15OVt27ZFz549lRYcUUWQ1yVVrx6gUaI/B8oGBxUTERWsRMkNANjY2MDGxkahrHHjxqUOiKiiqWjjbfI0cReTm2v3rfAiTQfGBpkSR0REVDGUKLlJTU3FDz/8gEOHDiEuLg65ubkKz9+7d08pwRFVBBU1ubExT4WjTSLux5rh/A1btGnAwfxEREAJk5sRI0bg6NGjGDx4MGxtbeXbMhCpouuvNt6uW1faOArSxP0x7sea4UyEHZMbIqJXSpTc7N+/H3v37kWzZs2UHQ9RhZKYCDwWe3/g7i5pKAVq6v4Y247U4aBiIqI3lGh4ZJUqVWBubq7sWIgqnIgI8Wu1akBF3C+2aZ1XM6Yi7CAIEgdDRFRBlCi5mTt3Lr799luF/aWIVFFel1SdOtLGURhv1yfQ0c7G00RDRMaYSR0OEVGFUKJuqUWLFuHu3buwtraGo6MjtLW1FZ6/ePGiUoIjklpecuPhIW0chdHVyYG36xOcjaiGsxF2cLZLlDokIiLJlSi56dGjh5LDIKqYKnrLDSCOuzkbUQ1nIuwwoO31MrnHkuBbSrnOxPa1lHIdZVHV10VUUqryf6JEyc13332n7DiIKqTKkNzkrXfDQcVERKISr7eamJiI3377DdOnT0dCQgIAsTvq0aNHSguOSEovXgDR0eL3FXGmVJ68QcVhd6yRnqkpcTRERNIrUXJz+fJl1KpVCwsWLMDChQuRmJgIANi1axemT5+uzPiIJHPjhvjVxgaoyJMDHW2SYGWWiqxsTVy6ay11OEREkitRcjNp0iQMGzYMt2/fhp6enry8U6dOOHbsmNKCI5JSZeiSAgCZDGj8aofwcxG2EkdDRCS9EiU358+fx6hRo/KVV6tWDbGxsaUOiqgiqCzJDfB63M3ZG9xEk4ioRMmNnp4ekpOT85XfvHkTVlZWpQ6KqCKoTMlN49picnOOyQ0RUcmSm+7du2POnDnIysoCAMhkMkRHR2PatGno3bu3UgMkkkplSm4auYndUrcfmiMhWe89tYmIVFuJkpuFCxfi6dOnqFq1Kl6+fIlWrVrB1dUVxsbG+L//+z9lx0hU7tLSgMhI8fvKkNyYm6TDtZo4azH0JsfdEJF6K9E6NyYmJjhx4gSOHDmCCxcuIDc3Fw0aNEC7du2UHR+RJG7cAAQBsLQEKktPa+PaMbjzyBxnb9ihQ6NIqcMhIpJMsZOb3NxcBAYGYufOnbh//z5kMhmcnJxgY2MDQRAgk8nKIk6iclWZuqTyNHF/jC2HPDhjiojUXrG6pQRBwIcffogRI0bg0aNH8PT0hIeHB6KiojBs2DD07NmzrOIkKleVMbmRDyq+yR3CiUi9FavlJjAwEMeOHcOhQ4fg7++v8Nzhw4fRo0cPbNy4EUOGDFFqkETlrTImN/Vdn0BLMwdxzw0R/cQENWzyz2gkIlIHxWq5+eOPPzBjxox8iQ0AtGnTBtOmTcPmzZuVFhyRVCpjcqOnk4N6LnEAOCWciNRbsZKby5cv44MPPij0+U6dOuHSpUulDopISunpwN274veVKbkB3ljML4LJDRGpr2IlNwkJCbC2LnzvGmtrazx//rzUQRFJ6dYtIDcXMDMT95WqTOTbMNzgoGIiUl/FSm5ycnKgpVX4MB1NTU1kZ2eXOigiKb3ZJVXZJv/lDSq+cNsG2TmVLHgiIiUp1oBiQRAwbNgw6OrqFvh8RkaGUoIiklJlHG+Tx616PIwNMvAiTRfX71vCy+Wp1CEREZW7YiU3Q4cOfW8dzpSiyq4yJzcaGuJWDIfDHHE2wo7JDRGppWIlN+vXry+rOIgqjMqc3ADioOLDYY44d8MOI7tygD8RqZ8S7S1FpKoyM4Hbt8XvK2ty83qHcA4qJiL1xOSG6A137gDZ2YCxMWBvL3U0JZM3Y+rqfSukvtSWOBoiovLH5IboDZV5plQeO8sUVLNMRm6uBi7cqmRz2YmIlIDJDdEbKvt4mzx5i/mxa4qI1BGTG6I3qEpy83oxP65UTETqh8kN0RtUJ7lhyw0RqS9Jk5tjx46hW7dusLOzg0wmw+7du997ztGjR9GwYUPo6enB2dkZq1evLvtASS1kZwM3b4rfV/bkpmGtWMhkAqKemOFJgoHU4RARlStJk5vU1FTUq1cPv/zyS5HqR0ZGonPnzmjRogXCwsIwY8YMfPHFFwgKCirjSEkd3L0rTgU3MAAcHKSOpnRMDDNRp8YzAOyaIiL1U6xF/JStU6dO6NSpU5Hrr169Gg4ODli6dCkAwN3dHaGhoVi4cCF69+5dRlGSusjrknJ3F1f6rewa136Ma/etcO6GHbr53ZE6HCKiclOpfoSfPn0aHTp0UCjr2LEjQkNDkZWVVeA5GRkZSE5OVjiICqIq423ycIdwIlJXlSq5iY2NhbW1tUKZtbU1srOz8ezZswLPmT9/PkxNTeVH9erVyyNUqoRUL7l5Pag4N1fiYIiIylGlSm4AQPbWymqCIBRYnmf69OlISkqSHw8ePCjzGKlyUrXkxtP5KfR0spCYoo87j8ylDoeIqNxUquTGxsYGsbGxCmVxcXHQ0tKChYVFgefo6urCxMRE4SB6W04OcOOG+L2qJDfaWrloUPMJAHZNEZF6qVTJja+vL4KDgxXKDh48CB8fH2hrcw8dKrn794H0dEBXF3Bykjoa5XndNcUZU0SkPiRNblJSUhAeHo7w8HAA4lTv8PBwREdHAxC7lIYMGSKvP3r0aERFRWHSpEmIiIjAunXrEBAQgClTpkgRPqmQvC6p2rUBTU1pY1EmDiomInUk6VTw0NBQ+Pv7yx9PmjQJADB06FAEBgYiJiZGnugAgJOTE/bt24eJEydixYoVsLOzw/LlyzkNnEpN1cbb5MlruQm7Y42MTE3o6uRIHBERUdmTNLlp3bq1fEBwQQIDA/OVtWrVChcvXizDqEgdqWpy42yXCAuTNMQnG+Dyvapo9Kolh4hIlVWqMTdEZUVVkxuZjF1TRKR+mNyQ2svNBSIixO9VLbkBOKiYiNQPkxtSew8eAKmpgLY24OIidTTKl9dyczaCyQ0RqQcmN6T28rqkatUSExxV0+hVy83NBxZITNGVOBoiorLH5IbUnqqOt8ljZfYSzrbPAQChNznuhohUH5MbUnvXrolfPTykjaMscVAxEakTJjek9lS95QZ4PaiY426ISB0wuSG1Jghqkty4v05u3rG0FBGRSmByQ2rt0SPgxQtxy4WaNaWOpuw0qPkEmhq5ePLcCA+fGksdDhFRmWJyQ2otr9WmZk1AR0faWMqSvm42vJzjAHC9GyJSfUxuSK2pQ5dUnje7poiIVBmTG1JrapXccMYUEakJJjek1tQruRFbbkJv2iKHm4MTkQpjckNqS11mSuVxd4iHkX4GUtN15HtpERGpIiY3pLaePAGePwc0NMStF1SdpqYAH7dYAMDZsxIHQ0RUhpjckNrKa7Vxdgb09aWNpbzIdwg/J3EgRERliMkNqS116pLKIx9UzOSGiFQYkxtSW+qY3DR5NR38yhUgLU3iYIiIyoiW1AEQKdWR+UWuev3UQAA11Cq5qWb5ArYWLxATb4ywMKBZM6kjIiJSPrbckNq6HmUJQL1abmSy111THFRMRKqKyQ2ppaeJ+niaaAgAqF1b4mDKGQcVE5GqY3JDainiVauNo00iDA0lDqaccVAxEak6Jjeklq7df9UlVeOZxJGUv0ZuYnITGQk8fSpxMEREZYDJDakl+XgbNUxuTI0y5F1xbL0hIlXE5IbUkjonNwDQuLH4lckNEakiJjekluTJjWO8xJFIg8kNEakyJjekdhKS9RCbYAQAcHdQz5abJk3Er+fOiRuIEhGpEiY3pHYioi0AANWrJsHEMFPiaKTh5QXo6AAJCcDdu1JHQ0SkXExuSO1cl8+UUs8uKUBMbLy9xe/ZNUVEqobJDamda/etAKhvl1SevHE3Z85IGwcRkbIxuSG1c+3VYOK6Tuq9yIufn/j11Clp4yAiUjYmN6R2rkaKLTcejurdctO8ufg1LAx48ULaWIiIlInJDamVN2dKqesaN3ns7YEaNYDcXG6iSUSqhckNqZW8bRcc1Him1JvyWm+OH5c2DiIiZWJyQ2olbzCxundJ5WnRQvx64oS0cRARKROTG1IreS03Ho7qPZg4T17LzZkzQFaWtLEQESkLkxtSK1dftdzUdWLLDQC4uwNVqgBpaUB4uNTREBEpB5MbUitsuVGkoQE0ayZ+z64pIlIVTG5IbTxN1MfTREMAgLuD+q5O/La8rikmN0SkKpjckNrIG0zsZPschvocYJLnzeSGm2gSkSpgckNqI69Lqi5nSinw8QF0dYG4OODOHamjISIqPSY3pDZer0zM8TZv0tV9vc8Uu6aISBUwuSG18XowMVtu3sZxN0SkSpjckFoQBOBaFBfwKwxXKiYiVcLkhtTCk+eGSEjWh4ZGLmpzplQ+vr6ATAbcvg08eSJ1NEREpcPkhtRC3ngbF7tE6OtmSxxNxVOlCuDpKX5/7Ji0sRARlRaTG1IL8vE2NTiYuDCtW4tfjxyRNAwiolJjckNqQT4NnNsuFMrfX/zK5IaIKjsmN6QWXu8GzpabwrRsKY67uXEDiI2VOhoiopJjckMqTxA4DbwozM2BevXE70NCJA2FiKhUmNyQynv41BhJqXrQ1MhFLfsEqcOp0Ng1RUSqgMkNqbzL96oCANxrPIOuTo7E0VRsTG6ISBUwuSGVd+mumNx4OXO8zfu0aAFoaIjr3Tx6JHU0REQlw+SGVF5eclPPhavTvY+ZGeDtLX7PcTdEVFkxuSGVd+muNQCgnkucxJFUDuyaIqLKjskNqbS0dC3cflQFAJObospLbg4fljYOIqKSYnJDKu3afSvk5mrAyiwV1lVSpQ6nUmjRAtDSAiIjgbt3pY6GiKj4mNyQSns93iYOMpnEwVQSxsaAn5/4fXCwtLEQEZUEkxtSafLkxpldUsXRvr34lckNEVVGTG5IpeWtccPxNsXToYP49dAhIJubqBNRJaMldQBEZUUQ3ljjhslNsTRsCFSpAjx/Dpw/L3U0JaP7IgkmTx7B+GkMjJ/GwjjuMQyex0MnLQW6qS+gm/oCOmmpkOXmQCYI4j8YAIKmJjL1DcXDwBBZ+oZIM7NAqkVVpFhURapFVbywskGSjT1ytXUkfpVEVBAmN6Syop+YIClVD9paOXB34J5SxaGpCbRrB/z5J3DwIGDiJ3VEhZPlZMMy8haq3r4Gy/u3YXH/NiyjbsMwoWwXbczV0ESSjT2e2zsC+7wBT0+gQQOgTh1Ah0kPkZQkT25WrlyJn376CTExMfDw8MDSpUvRokWLAuuGhITAP2+e6hsiIiJQu3btsg6VKpm8Vht3h2fQ0c6VOJrKp317MbkJDgZ6V6TkJj0dDhdPwe7qBdhduwjbG+HQeZlWYNVUMwu8qGqLF1a2eFHVFqnmVsg0NEaGoTEyDYyQaWCEHK28H4MyCDIZNHOyoP0yDTppqdBJS4FOWgoMEhNgGB8Ho/g4GMbHweTJI+ikp6HK4yhUeRwFnDv6+qY6OmKi07Ah0Ly5uN16jRpl/74QkZykyc22bdswYcIErFy5Es2aNcOaNWvQqVMnXL9+HQ4ODoWed/PmTZiYmMgfW1lZlUe4VMlcusfF+0ojb1DxmTNA51QN6BtKmCBGRQH79wN79wKHD6N3mmIyk2FghCdunnjq5IZ4x5p45lgLCTVckKVvWDbxCAIME+JQ5eF9VHkQiXYaz4FLl4CLF4GkJODCBfFYu1as7+AgzrFv2VJsEnN2Lpu4iAiAxMnN4sWLMXz4cIwYMQIAsHTpUvz7779YtWoV5s+fX+h5VatWhZmZWTlFSZXV5bti0uvFmVIl4ugI1KoF3LoF3AnXh2ezcl4nKCoK2LpVPMLDFZ5KsaiKB16N8bhuQzz2aID4GjUhaGqWX2wyGVItrJFqYY2H9ZqgXftaYrkgiAsEhYWJWeHx40BoKBAdDWzeLB6A+MZ27gx06iQmPHp65Rc7kRqQLLnJzMzEhQsXMG3aNIXyDh064NSpU+8819vbG+np6ahTpw6++eabAruq8mRkZCAjI0P+ODk5uXSBU6URdscGAFtuSqNDBzG5uXnBsHySm4QEYMsW8Th9+nW5hoa4+E7nzkDnzvj1iR4q5MJFMpnYKuPsDPTuLZalpLxOdEJCgFOnxDf11i1g6VLAwEBszenVC/jwQ3EkNxGVimTJzbNnz5CTkwNra2uFcmtra8TGxhZ4jq2tLdauXYuGDRsiIyMDmzZtQtu2bRESEoKWLVsWeM78+fMxe/ZspcdPFVtiii7uPhZ/STSoyQ0zS+qDD4BffgGunzWEIJRRPiEIYiKzejWwfTuQ98eITAa0bg0MGCD+4reweH1O8K0yCKSMGBmJyUu7duLjpCTgv//Ebrb9+4HHj4G//xYPLS2gbVugTx+gRw/A0lLS0IkqK8kHFMve+mkpCEK+sjxubm5wc3OTP/b19cWDBw+wcOHCQpOb6dOnY9KkSfLHycnJqF69uhIip4rs4i2x1cbJ9jksTF9KHE3l1aYNoK8PJD7VRkykDuycM5V38ZcvgQ0bgBUrgKtXX5fXqwcMGwb07QvY2SnvfhWFqanYqtO7t5jYXb4M7N4N7Nghvg///iseo0eLA58GDxYTHQMDqSMnqjQkW8TP0tISmpqa+Vpp4uLi8rXmvEvTpk1x+/btQp/X1dWFiYmJwkGqL/RVctOwZsGtgFQ0+vpiQwIgtt4oxbNnwOzZ4iDbMWPEX+j6+sAnnwBnz4rjVSZMUM3E5m0ymZjMffcdcOUKcOMG8H//J04pz8kBDhwAPv4YsLYW358jR4Bczvwjeh/JkhsdHR00bNgQwW+t7x4cHAw/v6LPOw0LC4Otra2yw6NK7kJeclOLyU1pde0qfr1+1qhU1zGOewx8/rmY1MyaJSY5jo7iuJPHj4F164DGjSvmWJry4uYGzJghzrS6dQv49lvAyUkctxMYKDalOToC33wD3L8vcbBEFZek3VKTJk3C4MGD4ePjA19fX6xduxbR0dEYPXo0ALFL6dGjR9i4cSMAcTaVo6MjPDw8kJmZid9//x1BQUEICgqS8mVQBXThlpjwMrkpvS5dxK9REXpISdKAkWnxWg4Mnz1B461rUHf/diArSyxs0ACYOlXsmtGSvHe8YqpZU2zhmjULOHkS2LhRHJP04IHYujNvHtCxIzBqlJiB8n0kkpP0f0O/fv0QHx+POXPmICYmBnXr1sW+fftQ49WCVzExMYiOjpbXz8zMxJQpU/Do0SPo6+vDw8MDe/fuRefOnaV6CVQBPX+hJx9MzOSm9OztgWou6Xh0Vw83zhvCp92LIp1n8PwZGm1dC689f0Ar69VYHX9/sdXB31+9W2iKQyYTFwNs3hxYvhz46y/g11/Fjb8OHBAPOztg+HBgxAixZYxIzUme6o8dOxZjx44t8LnAwECFx1OnTsXUqVPLISqqzC7eFsdsOdk+h7lJusTRqIY6TVLx6K4erp81em9yo5mRjoY71qHRtl+hky4utvfIowFODf0SH/1vSHmEq7r09IB+/cTj9m0xyVm/XuzWmztXbNHp3Bn44gtxdhYTSFJT3BWcVM4FDiZWujpNxDVubpw3QE5hu4Tn5qL2ob8x7NMP0GzDMuikpyHWzRNB8wKwffEWPKzftPwCVgc1awI//gg8fCgudOjvLw423rNHXKCobl1gzRogreCtKYhUGZMbUjkcTKx81d3SYWSajfQ0Tdy9op/vebtrF9D/y37otOB/MHkag+Sqdtg3fRH+WP4non2aswWhLOnqii05hw+Ls63GjxfX1rl+XZxObm8PfPWVuEoykZpgckMqJ28wsY8bkxtl0dAA6jQVW2+unDSWl+s/j0fHH6ei38SBsL15GZn6BjjxySQEBuzHTf+uTGrKm5ubOC7n4UNgyRJxpeTnz8UWHmdn4KOPxMHJgiB1pERliskNqZQ3BxM3YLeUUnm1SAEAXDlhhNzsXHju3YZhwz9Anf/+giCT4Uqnj7B+/UGcHzAKObrcK0lSpqbiWkG3bokLBPr7i+vm7NghDkxu1kws55o5pKKY3JBK4WDislOrfhr0DHOQnKAF1zE/oN2yb6GXkow4F3f8sWw7/pv4PdLMraQOk96kqQl07y52WV26JM6o0tUVt7vo2RNwdxcHJafz/wqpFiY3pFI4mLjs6Aov4W9xDgAQElUPmfoGCBkzA1t+2YEntb0kjo7ey8sL+O03cfG/GTMAMzOxZeezz8SFAefPF7uwiFQAkxtSKWeuVwMANK4dI3EkqsX2ehgGjemBUdE/AAC26X6M9b8dQFjPoRA0JV9RgorDxkacMh4dDSxeLA44fvJETHgcHIDJk8WFAokqMSY3pDIEATj9Krnx9XgkcTQq4uVL4H//Q99JA2H+MBJ+VcKgp5OFmIyqiIivIXV0VBrGxsDEicC9e+Lqx56e4jYPixeLg4+HDBFnXBFVQkxuSGU8eADEJhhBSzOHg4mV4fRpwNsbWLgQGrm5uN6uB/78LQi1fcXxGZePl26vKaogtLXFnccvXQL27xcHH2dnA5s2AR4eQK9ewPnzUkdJVCxMbkhlnD4tfq3nEgcDvcJWmqP3Sk8H/vc/cUbNzZuAnR12z1mNf6cuQIaxKbxaiCsUXz5hxBnFqkQmAz74QBx8fO6cmNQAwK5d4oamHToAISGcRk6VApMbUhlnzohffeuwS6rErl4Vf5EtXCj+Ehs6FLh6FZFN/eVV3BulQls3F/ExOoi+ySnfKqlRIyAoCLh2Teye0tQEgoPFVp3mzYG9e5nkUIXG5IZURl5y07TOY2kDqYwEAfj5Z8DHB7hyBahaFfjnHyAwEKhSRaGqrr6Aun7imjcXDhkXcDFSGXXqABs2AHfuAGPHitPIT50SdyGvXx/Ytk1cP4eogmFyQyohIwO4eFH8ni03xRQb+3qzxYwM8fvLl8VfYIXwaZsMAAgLMS58rylSHY6OwIoV4jTyqVPF7R0uXwb69wdq1wYCAoDMTKmjJJJjckMqISxM/NlqZZYKJ9tEqcOpPP75R5wlc+CAuOP0L7+IGy9aW7/ztFoN02Bklo3UJC3cCDUsp2BJcjY2wIIF4jTyOXMAc3OxVWfECMDFBVi2DEhNlTpKIiY3pBpOnBC/+nk84nZGRZGWBowZA3z4IfDsGVCvHnDhAjBuXJH2g9LUBLz9xYHF7JpSQ1WqADNnAlFR4tRxOztxP6sJE8RWnv/7PyAxUeIgSZ0xuSGVcOyY+LWFJxcfe6/oOKBJE2D1avHx5MnA2bPi+IpiyOuaunraCC9T+aNELRkZvV4rZ80acX2cZ8+Ab74RFwScPl1cIJConPEnElV6ubmvW25aejG5eaeDYcDoleKsKGtr4OBBcWaUrm6xL2VfMwPWDhnIztTAlRNc80at6eqK2zjcvAls3gzUrQu8eAH88IPYkjN+vDheh6icMLmhSu/aNXFLHENDwJuL9xUsPRP4KQj44U/x+zZtgPBwoH37El9SJgMathW7ps4dNFFSoFSpaWkBAweKCwL+9Ze4rEB6ujiWy9VVXCzw6lWpoyQ1wE1hqGI7Mv+9VY7tbgCgI/xqR0JLswRrbxThHpXa/SfAnD+A+3FiRjK0DfDbv+LAmVLyaZeM/RsscO+KAZ5Ea8PaIUsJAVOlp6Ehjufq1g04ckRswQkOBn7/XTy6dgWmTRMXiiQqA2y5oUrv2OXqAICWXtESR1IBHbwIjF0pJjbmxsDCT4EhbZWS2ACAmVU26jQWZ8ec2WemlGuSCpHJxFbCgweB0FDgo4/Esj17xMUAW7TggoBUJpjcUKUmCMDxK3nJDcfbyL3MBBbsAH7YAaRnAQ1dgbWfA94uSr+Vb9ckAMC5YBNkZnCqGhWiYUNg+3bgxg1g5EhAR0ccLNe1qzhbb/NmcU8rIiVgckOV2u2H5oiJN4aOdjYau3NlYgBA5BOxtebfi4CGDPikHfDDMLHlpgzUbpiKKlWz8PKFJjfTpPerVQtYuxaIjBT3MDMyElfFHjQIqFlTXCwwLU3qKKmSY3JDldqhizUAAM08HkJPh8vA48AFMbGJigMsjIFFw4HBbQDNsvuvrqEJNO0ktt6c2mNWZvchFWNnB/z4o7gg4P/9H2BlJc6o+vzz12vlPH8udZRUSTG5oUrtv4uOAIB2De9LGofkXmaKM6F+DAIy8rqhxgP1nMvl9o0/SIKGhoD71/URE6lTLvckFVGlCjBjhrgg4IoVYmLz9OnrtXImTRKfIyoGJjdUaeXkyHA4TGy5adfgvrTBSCkyFhi7QlzDRkMGDO8ALBgGVCm/LiJTixx4vNpM8/hus3K7L6kQfX1xc87bt8XxN56eQEoKsGSJuDhgv37iYpNERcDkhiqtC7dskJiiD1PDdDSspabr2xy4AIxdBUQ9BSxMgEUjgI9bi1Nxy1mrnokAgND/TPDiuXJmY5EaenOtnP37xbWYcnPFwchNm4qzrHbu5G7k9E5MbqjSyuuSauMdBc2SrG9TmeXNhsrrhvKpKc6GquckWUhOdV/Cwe0lsrM0cOJvM8niIBUhkwEffCBOI790CRg2DNDWBk6eBHr3FgcfL18utu4QvYXJDVVa/11wBKCG423uvzUb6tP2wA9Dy7UbqiAyGeD/kTgA9OTfZsh4yWnhpCReXsD69eLYm2++EXcjj4wEvvwSsLcHvvpK3LiT6BUmN1QpvUjTwclr9gDUbLzNvxfzz4Ya5C9JN1RBPJulwMI2E2kvNHE+mFsykJLZ2gJz5wIPHgCrVonTypOSxFlXTk7iuJzjx7koIDG5ocopONQRmVlacK2WgJr2CVKHU/bSM8UuqAVvLspXfrOhikpDE2jVW2y9ORpUBbkcFkFlwcAAGD0aiIgA/vkHaN1aXABw+3agZUtxUcC1a4HUVKkjJYkwuaFKac8ZVwBA16Z3IFP13o+oOLG15sAFxUX5JO6GKkyj9skwNMlBfIwOLh4pm4UDiQCILZZdu4r7V4WHiysf6+uLiwKOGgVUqyZOJb9zR+pIqZwxuaFKJzcX2HtWTG66+ar4D62DYcCYFa/3hvrp0zJflK+0dPUFtO4jtqb9+7sFcriiPpWHvNaaR4+AxYsBFxexy2rJEnHwcadO4p5WnGWlFiruT0iiQpy/aYe454YwMUxHc08V3U/q5atuqB/+FLuhGriU2d5QZaF590QYmWUj/rEOx95Q+apSBZg4Ebh1C9i3D+jSRRztfuCAuEt5zZrAvHlATIzUkVIZYnJDlc6e02KrTUefSOho50ocTRm49QgY9YvYDSWTAcPaAgs+KbO9ocqCrr6Atv3F1puDv1sgO1PV+w6pwtHQeN1ac/s2MHkyYGYmzrL6+mugenWgRw/xeW7YqXKY3FCls+tELQBAV1XrksrNBf48AXy+Gnj4DLA0EWdDDWlbobuhCuPXNQmmlllIfKqN0/tNpQ6H1JmLC7BwodhltX490KyZ2D31119ia46jI/Dtt+LeVqQSKt9PTFJr1yItce2+FbS1clRrvE3CC2D6BmDVPiA7B2hWB/j1C6B+xZoNVRzaOgLaDRBbb4I3m+NlKn/ckMQMDMTFAE+cAK5dE7uvLCzEpGfuXHGbh44dgR07gIwMqaOlUuBPG6pU/jxaGwDQ0eceqhinSxyNkpy7BYxcDpy/DehoARO7A3M+BkwNpI6s1Jp8kAQr+0ykJGrh4O/mUodD9FqdOuLA40ePgK1bgbZtxfVxDh4EPvpIXFNnzBjg9Gmum1MJMbmhSkMQgO1H3QEAfVvfkDgaJcjMAlbuBaYFAs9TAWcbYPU4oFsTqMr8di1toMeYOADA8d1VEBEhcUBEb9PVFRf/++8/4O5dcYdyOzvg+XNg9WrAz09cLHDOHODePamjpSJickOVxrX7loiIsoSOdjY+9LstdTilc/OhOGh4x0nxcU9fYOUYwNFa2rjKgHujNHj4piA3R4YvvuAfwVSBOTsD//d/QHQ0EBwMDB4MGBqK6+R89504dqdFC3HKeWKi1NHSOzC5oUrjj8N1AAAfNLoHU6NK2h+enQME/geMWy3u5G1uDMwbAozvBuhoSx1dmekx+im0tHPx33/ihs5EFZqmJtCuHbBxIxAbK35t105sUT1xQlwg0MZGnG31xx/cvLMCYnJDlUJOjgwb/vUEAHzc7prE0ZTQ/SfiTKiNh8WZUa09gYAvgaa1pY6szFnYZsk31Rw3DoiPlzggoqIyMhJbcIKDxRadBQsADw9xwPFffwEDBwJWVkCfPuL2D9zyoUJgckOVwsFQJzx6ZgILkzR0r2xdUjm5wLbjwKgV4ho2JvrAzP7AtwNUYtBwUbUbmIA6dYAnT4DPP5c6GqISsLcHpk4Vt3cIDxfH57i4AOnpQFCQOHanalXxa1AQkJYmdcRqS0vqAIiKImB/PQDAoHbXoKtTiZZPvxcLLNwJ3HgoPm7iBkzpCVhUvlV7m0avLVb9Mw6fKTzW1hGwYQPQtKk4OaVXL3FSiso5Mr949f2nl00cVHZkMnG7h3r1gO+/B8LCxFabbdvEtXK2bxcPfX2gQwex+6prV8DSUurI1QZbbqjCe5qoj79P1QQAfNrpksTRFFFmFhBwUBw0fOMhYKgLTO4pjq+phImNsvj4iH/sAuIsW66AT5WeTAY0aAD88IM4m+rcOWDKFKBGDeDlS7Hr6pNPAGtrcffyJUs466ocMLmhCu+3ffWRla0JH7cYeLk8lTqc9wu/B4xYDmwOEbukmtcB1k0AujRSmSnepfHNN0D9+uK4m379gKwsqSMiUhKZDGjUCPjpJ3Gbh7AwcZZV/friOLujR8Vdyl1cxFafr78WByhz+welY3JDFVpmlgZ+3tUQADC+Z6jE0bzH8xRxs8tJvwEP4wELY2DWQGDOIMCK2w/k0dERW+9NTIDjx8UhDEQqRyYTk5pZs8QkJzISWLoU8PcXZ2Ndvixu4NmihTgguW9fcWsINmcqBZMbqtC2HamDmHhj2Fq8QH//61KHU7DsHCDoJDBksbjZJQB0awysnwC0rCtpaBVVrVri7FpA/Hm/dauk4RCVPUdH4MsvgcOHxVH1GzcC/fsD5ubimjl//gl8+qm4gKC3t9h/e/Qot4EoIQ4opgpLEIBFfzYGAIzveaFi7gB+8S7wyz/AfXEVXtS0E9esqVtD2rgqge7dxZ/f8+aJP9MdHMTFYIlUnoWFOL188GBxA89z54D9+8UjNFSciRUeDsyfLw5Kbt4caNNGPBo0ALT4q/t9+A5RhbV3L3DprjUM9DIxqmuY1OEoehQP/PovcOyq+NjEABjRAejkUyl38JbKnDnApUviZ921q9hN5eEhdVRE5UhTE/D1FY85c4C4OODff8VEJ6+VJzhYPACxP7dVq9fJTt26gAZ/5ryNyQ1VSLm54lg7APi8xwWYm1SQTTKfpwCbDgP/nBMHC2vIgA+bAJ+0B4z1pY6u0tHUFGfMtmsn7k/YsSNw8qQ40YRILVWt+rpVRxCA69fFJOfwYSAkROzC+ucf8QDEbi0/P6BZM7GFx8cH0NOT8hVUCExuqELatk0cb2dimI6v+p+ROhzgZQbw5wlxMb6XmWJZ41rAyI6Ai620sVVyBgbAnj3iuMrr18XZsv/9J04oIVJrMpnYlOnhAYwfL3ZhhYe/TnaOHQMSEsT/QHv2iOfo6AANG75Odvz8xAHLaobJDVU46enidGEA+F/fs9K22qSmA3+dAbafAJJfrTbqVg0Y+QHQgL99lcXcXGyJ9/cX9yhs3hw4eBDw9JQ6MqIKRFNTTFwaNgT+9z9xHYWwMLG58+RJcVr5kydiM+jp08DCheJ5rq7iFHUfH/FrgwbihqAqjMkNVTjz5olrXNnaAhP6nJcmiJSXwK7T4q7dL16KZfYWwKcdgFZ1uV5NGbC3F8fcdOggrm7fqhWwezfQsqXUkRFVUNraQOPG4jFxotiNde/e60Tn5EmxOfTOHfH44w/xPA0NwN1dTHTyDi8vQFdX2tejRExuqEK5cUNc6BMAli8HjPTLeYW3J4liUrP3vNhqAwAOVsAgf8DfU/zLicqMjY04+7VzZ+DMGaBtW2DRIrFFnvkk0XvIZGJ/rosLMGSIWJaQIM7AOn9ePEJDgUePgGvXxCMwUKynqQnUro0PqjrhmbMbnjrXxjNnN6SaV62U//mY3FCFkZUlTgnOygK6dAF69wYQUk43vx4tttIcuyaOZgYAx6rA4DbiWjWcAVVuqlQBDh0CRo4EtmwRlwY5fx5YsUKcKEJExWBuLjaHdujwuuzx49cJT97X+Hjg2jW4X7sGHNkjr5pmWgXPnGvjqZMbnjnVQoKDCxIcXJBpaCzBiyk6JjdUYcyYIXYTm5qKv8jK/I+FtAzg8GWxlebmw9fl3s7AR83FAcOcYikJAwPg99/F1vIpU8Tvjx0DAgLEmVVEVAp2dsCHH4oHIHZnPXwIXL6ME0GHYHXvJizv3UCVR/dhkPQcDmGn4RB2WuESqeZWiK/uLE92EhxckFDdGakWFaOlh8kNVQi7dr0e+7Z+fRlOBRYEcSPLvefFxCb91cwnLU2gbT2gTzPOfqogZDJgwgRxDOTQoeJQgvbtXy3410ETJuaVaHd4oopMJgOqVweqV8d5nZryYs2MdFhG3YblvZuwuncDFlF3YB59F0bxcTBMeArDhKdwuHRW4VIZBkZ4Xt0JaFQP2LBBsj8QmdyQ5I4dAwYOFL//8kugZ08l30AQgMgnwJHLYkITk/D6ueqWQOdGQAdvoIqRkm9MytC8ubgswLRpwC+/AOvWAbp/OKFNvwS07PkcuvqC1CESqaQcXT08qeWJJ7UUpy3qpKagyoN7sIi+C/MHd2EefRdVHtyD2eMH0E1Lgc3NK0BaoqQt30xuSFJnzgDduonTvz/88HXrTanl5gI3HwFnbwJHrwJRca+f09MGWtQFuvgAno4VogmV3s3QEPj5Z2DAAHFSyLlzGtgfaIljO6ugRY/naN49EQbGFXB7DiIVlGlohCe1vfCktpdCuWZmJsweR8Hs4X18WNtcouhETG5IMjt3Ah9/LCY2LVuKmyeWasuU5DQg/B5w5qaY1DxPef2ctibQ2A1o4wU0rQ3o65Q6fip/fn7iuKyh38Rgf6AF4mN0cGCjJQ5vN0f9Vi/QtHMSatROZ75KJIEcHR3EO9ZEvGNNoH0tSWNhckPl7uVLYPp0YNky8XHXrmJio1/c3QuepwBXo4BL94DwSOBerOLzBrqAT03ArzbgVwcw4pLkqkBDA2jg/wL1Wr7A5WPG+G+bOWLu6eLcv6Y4968prOwz4dksBZ5+Kajuls4x4URqSPLkZuXKlfjpp58QExMDDw8PLF26FC1atCi0/tGjRzFp0iRcu3YNdnZ2mDp1KkaPHl2OEVNJCYLYWjN9OnD7tlj25ZdiV9R7W2yS0oDbj4Bbj8TuppuPgLjE/PUcrIBGtQBfN7HLSVvyf+JURjQ1AW//F6jf+gUir+nh7H5ThB8zxtOHOji8zRyHt5nDxCIbtbzT4OyZBmfPl7CqlsVWHSI1IOlP/m3btmHChAlYuXIlmjVrhjVr1qBTp064fv06HBwc8tWPjIxE586dMXLkSPz+++84efIkxo4dCysrK/Tu3VuCV0BFkZAA7NghTu++fFkss7ERB4Z26vRGxfR04MEDcVpMRIS4ot/pf4EHT4HnqfkvLJOJyUx9J6CeM+DlCJhX7LUXSPlkMsC5bjqc66aj59iniDhvgCsnjRBx3hDJ8VoI/c8Eof+JC+QYmmajmnMG7FwyYOecAWuHTFjaZUHfiON1iFSJpMnN4sWLMXz4cIwYMQIAsHTpUvz7779YtWoV5s+fn6/+6tWr4eDggKVLlwIA3N3dERoaioULFzK5qUBiY8W93S5cAA7sF3DqNJCbK/65bKCbjcntLmGK92GYHHgIBDwCoqKA6GggLu7dF65mAdSqJu7t5FYNcLUDDNnVRK/pGebCu3UKvFunIDtThrtX9HHvij7uXtFH9A09pCZp4VaYFm6FKe6rY2CcAwu7LFjYZMHYPBvGZtkwMc+BUZUcmFTJhr5RDvQMc6FnmMtFqokqAcmSm8zMTFy4cAHTpk1TKO/QoQNOnTpV4DmnT59GhzdXWQTQsWNHBAQEICsrC9ra2mUW7/ukJ6Zj37xwQBAgAIAgdsNAfATh1R+GgpD3Ne+bN8teV1Aoe/WNYpkAQZAp1hcECJAVeo1C71lIjBAECNk5QE4OhKxs8Wt2DjIygJR0LaSmayI1UwtJ6Xp4nGaKx2lmeJRugeTcN1tPxKSmLq7gU6zDsIxAVNmbCOwt5I00MAAcHYHatcW9T3Jvia0z1a3EMTRERaSlI8CtYRrcGoobnmZlyhATqYNHd/Xw+J4uHt/TwbNHOnjxXAtpLzSRdlMTD26+P1nW0RWTHD2DXOjo50JbR8BeG0BPTzx0Ez+Enk62/NDWzIWmZi40NYRXRy40NQVoyF59Hy52sb195HWfSfWV1NPlS8pZEmNflriNilQkS26ePXuGnJwcWFtbK5RbW1sjNja2wHNiY2MLrJ+dnY1nz57B1jb/4msZGRnIyMiQP05KSgIAJCcnl/YlKHhy/Sl6/1RHqdesnAQAiXDFHXjiCprhJDriXzgYJQKWloClK5ItLV99bynujlm9urhrYvXq4tr7b/50Pbbo1WWF13s9UekV899/emoKUl9mvL/iW+fkv61y/t8VdO2iqGovHt6tXpdlpMuQEKuF+FgdJD7VQkqiJlISNfHiuRZSkjSR8lwLL1M1kJ0pjkzOzBCP5DeWS4q89uYeaNWLGZVyfxYRlY5ykpv91sm4dUspl5LL+/kh/0P9HSQfbSl7688EQRDylb2vfkHleebPn4/Zs2fnK69evbg/gKg47rw6dgGYAgApAFJSgPv3JYyKXptTDvf4JV/JjHK4KxFJ78kTcSudsvDixQuYvufikiU3lpaW0NTUzNdKExcXl691Jo+NjU2B9bW0tGBhYVHgOdOnT8ekSZPkj3Nzc5GQkAALC4t3JlElkZycjOrVq+PBgwcw4Q5/lQI/s8qFn1flw8+scqnIn5cgCHjx4gXs7OzeW1ey5EZHRwcNGzZEcHAwer6x3n5wcDC6d+9e4Dm+vr74559/FMoOHjwIHx+fQsfb6OrqQldXcayGmZlZ6YJ/DxMTkwr3j4LejZ9Z5cLPq/LhZ1a5VNTP630tNnkkXd5q0qRJ+O2337Bu3TpERERg4sSJiI6Olq9bM336dAwZMkRef/To0YiKisKkSZMQERGBdevWISAgAFOmTJHqJRAREVEFI+mYm379+iE+Ph5z5sxBTEwM6tati3379qHGqy2hY2JiEB0dLa/v5OSEffv2YeLEiVixYgXs7OywfPlyTgMnIiIiOckHFI8dOxZjx44t8LnAwMB8Za1atcLFixfLOKqS0dXVxXfffZevG4wqLn5mlQs/r8qHn1nloiqfl0woypwqIiIiokqCW8oRERGRSmFyQ0RERCqFyQ0RERGpFCY3REREpFKY3CjJypUr4eTkBD09PTRs2BDHjx+XOiR6h2PHjqFbt26ws7ODTCbD7t27pQ6J3mH+/Plo1KgRjI2NUbVqVfTo0QM3b96UOiwqxKpVq+Dl5SVfCM7X1xf79++XOiwqhvnz50Mmk2HChAlSh1IiTG6UYNu2bZgwYQK+/vprhIWFoUWLFujUqZPCGj1UsaSmpqJevXr45Zf8+x9RxXP06FGMGzcOZ86cQXBwMLKzs9GhQwekpqZKHRoVwN7eHj/88ANCQ0MRGhqKNm3aoHv37rh27ZrUoVERnD9/HmvXroWXl5fUoZQYp4IrQZMmTdCgQQOsWrVKXubu7o4ePXpg/vz5EkZGRSGTybBr1y706NFD6lCoiJ4+fYqqVavi6NGjaNmypdThUBGYm5vjp59+wvDhw6UOhd4hJSUFDRo0wMqVK/H999+jfv36WLp0qdRhFRtbbkopMzMTFy5cQIcOHRTKO3TogFOnTkkUFZFqS0pKAiD+wqSKLScnB1u3bkVqaip8fX2lDofeY9y4cejSpQvatWsndSilIvkKxZXds2fPkJOTk28nc2tr63w7mBNR6QmCgEmTJqF58+aoW7eu1OFQIa5cuQJfX1+kp6fDyMgIu3btQp06daQOi95h69atuHjxIs6fPy91KKXG5EZJZDKZwmNBEPKVEVHpff7557h8+TJOnDghdSj0Dm5ubggPD0diYiKCgoIwdOhQHD16lAlOBfXgwQN8+eWXOHjwIPT09KQOp9SY3JSSpaUlNDU187XSxMXF5WvNIaLSGT9+PP7++28cO3YM9vb2UodD76CjowNXV1cAgI+PD86fP49ly5ZhzZo1EkdGBblw4QLi4uLQsGFDeVlOTg6OHTuGX375BRkZGdDU1JQwwuLhmJtS0tHRQcOGDREcHKxQHhwcDD8/P4miIlItgiDg888/x86dO3H48GE4OTlJHRIVkyAIyMjIkDoMKkTbtm1x5coVhIeHyw8fHx98/PHHCA8Pr1SJDcCWG6WYNGkSBg8eDB8fH/j6+mLt2rWIjo7G6NGjpQ6NCpGSkoI7d+7IH0dGRiI8PBzm5uZwcHCQMDIqyLhx47Blyxb89ddfMDY2lreUmpqaQl9fX+Lo6G0zZsxAp06dUL16dbx48QJbt25FSEgIDhw4IHVoVAhjY+N8Y9gMDQ1hYWFRKce2MblRgn79+iE+Ph5z5sxBTEwM6tati3379qFGjRpSh0aFCA0Nhb+/v/zxpEmTAABDhw5FYGCgRFFRYfKWWWjdurVC+fr16zFs2LDyD4je6cmTJxg8eDBiYmJgamoKLy8vHDhwAO3bt5c6NFITXOeGiIiIVArH3BAREZFKYXJDREREKoXJDREREakUJjdERESkUpjcEBERkUphckNEREQqhckNERERqRQmN0RUobRs2RJbtmyROowy1bp1a0yYMEH+2NHREUuXLpUsnjx79uyBt7c3cnNzpQ6FqFSY3BBVIHFxcRg1ahQcHBygq6sLGxsbdOzYEadPn5bXkclk2L17d75zJ0yYIF/Bt1u3bmjXrl2B9zh9+jRkMhkuXrxYFi+hVPbs2YPY2Fj0799f6lCUIiQkBDKZDImJiQrlO3fuxNy5c5V6r4sXL6J9+/YwMzODhYUFPvvsM6SkpBRYNz4+Hvb29vli69q1K2Qymconl6T6mNwQVSC9e/fGpUuXsGHDBty6dQt///03WrdujYSEhGJdZ/jw4Th8+DCioqLyPbdu3TrUr18fDRo0UFbYSrN8+XJ88skn0NAo2x9NmZmZZXr99zE3N4exsbHSrvf48WO0a9cOrq6uOHv2LA4cOIBr164VujXF8OHD4eXlVeBzn3zyCX7++WelxUYkCYGIKoTnz58LAISQkJB31gMg7Nq1K1/5l19+KbRq1UoQBEHIysoSrK2thVmzZinUSU1NFYyNjYWff/5ZEARBOHLkiABAOHDggFC/fn1BT09P8Pf3F548eSLs27dPqF27tmBsbCz0799fSE1NlV9n//79QrNmzQRTU1PB3Nxc6NKli3Dnzh358xs2bBAMDQ2FW7duycs+//xzoWbNmkJKSkqBr+vp06eCTCYTrl69mu/1rly5Uvjggw8EPT09wdHRUdi+fbtCnYcPHwp9+/YVzMzMBHNzc+HDDz8UIiMj5c8PHTpU6N69uzBv3jzB1tZWqFGjhiAIgvDgwQOhX79+QpUqVQQDAwOhYcOGwpkzZ+Tn/f3330KDBg0EXV1dwcnJSZg1a5aQlZWlENuvv/4q9OjRQ9DX1xdcXV2Fv/76SxAEQYiMjBQAKBxDhw4VBEEQWrVqJXz55Zfy69SoUUNYsmSJ/HFiYqIwcuRIwcrKSjA2Nhb8/f2F8PDwAt83QRCENWvWCFWrVhVycnLkZWFhYQIA4fbt2wp1V65cKbRq1Uo4dOiQAEB4/vy5wvP3798XAAh3794t9H5EFR1bbogqCCMjIxgZGWH37t3IyMgo1bW0tLQwZMgQBAYGQnhj+7g///wTmZmZ+PjjjxXqz5o1C7/88gtOnTqFBw8eoG/fvli6dCm2bNmCvXv3Ijg4WOGv+dTUVEyaNAnnz5/HoUOHoKGhgZ49e8rHagwZMgSdO3fGxx9/jOzsbBw4cABr1qzB5s2bYWhoWGDMJ06cgIGBAdzd3fM9N3PmTHmr1qBBgzBgwABEREQAANLS0uDv7w8jIyMcO3YMJ06cgJGRET744AOFFppDhw4hIiICwcHB2LNnD1JSUtCqVSs8fvwYf//9Ny5duoSpU6fKX8O///6LQYMG4YsvvsD169exZs0aBAYG4v/+7/8UYps9ezb69u2Ly5cvy19zQkICqlevjqCgIADAzZs3ERMTg2XLlr33sxMEAV26dEFsbCz27duHCxcuoEGDBmjbtm2hLXgZGRnQ0dFRaPHK2y39xIkT8rLr169jzpw52LhxY6GtYzVq1EDVqlVx/Pjx98ZKVGFJnV0R0Ws7duwQqlSpIujp6Ql+fn7C9OnThUuXLinUQRFabgRBECIiIgQAwuHDh+VlLVu2FAYMGCB/nNdy899//8nL5s+fn+8v91GjRgkdO3YsNO64uDgBgHDlyhV5WUJCgmBvby+MGTNGsLa2Fr7//vt3vvYlS5YIzs7O+coBCKNHj1Yoa9KkiTBmzBhBEAQhICBAcHNzE3Jzc+XPZ2RkCPr6+sK///4rCILYcmNtbS1kZGTI66xZs0YwNjYW4uPjC4ynRYsWwrx58xTKNm3aJNja2irE9s0338gfp6SkCDKZTNi/f78gCK/f37dbR97VcnPo0CHBxMRESE9PVzjHxcVFWLNmTYGxXr16VdDS0hJ+/PFHISMjQ0hISBB69eolAJC/hvT0dMHLy0vYtGnTO2MTBEHw9vbO1+pHVJmw5YaoAundu7e8JaFjx44ICQlBgwYNEBgYWOxr1a5dG35+fli3bh0A4O7duzh+/Dg+/fTTfHXfHH9hbW0NAwMDODs7K5TFxcXJH9+9excDBw6Es7MzTExM4OTkBACIjo6W16lSpQoCAgKwatUquLi4YNq0ae+M9+XLl9DT0yvwOV9f33yP81puLly4gDt37sDY2Fje+mVubo709HTcvXtXfo6npyd0dHTkj8PDw+Ht7Q1zc/MC73nhwgXMmTNHfk0jIyOMHDkSMTExSEtLk9d7870zNDSEsbGxwntVXBcuXEBKSgosLCwU7h0ZGanwet7k4eGBDRs2YNGiRTAwMICNjQ2cnZ1hbW0NTU1NAMD06dPh7u6OQYMGvTcGfX19hddIVNloSR0AESnS09ND+/bt0b59e3z77bcYMWIEvvvuO/ngUGNjYyQlJeU7LzExEaampgplw4cPx+eff44VK1Zg/fr1qFGjBtq2bZvvXG1tbfn3MplM4XFe2ZvTg7t164bq1avj119/hZ2dHXJzc1G3bt18A3WPHTsGTU1NPH78GKmpqTAxMSn0dVtaWuL58+eFvzFvkclkAIDc3Fw0bNgQmzdvzlfHyspK/v3b3WF53TaFyc3NxezZs9GrV698z72ZhL3vvSqu3Nxc2NraIiQkJN9zZmZmhZ43cOBADBw4EE+ePIGhoSFkMhkWL14sTzwPHz6MK1euYMeOHQAg7660tLTE119/jdmzZ8uvlZCQoPDeEVU2bLkhquDq1KmD1NRU+ePatWvj/PnzCnUEQcCFCxfg5uamUN63b19oampiy5Yt2LBhAz755BN5UlBS8fHxiIiIwDfffIO2bdvC3d29wKTk1KlT+PHHH/HPP//AxMQE48ePf+d1vb29ERsbW+C1zpw5k+9x7dq1AQANGjTA7du3UbVqVbi6uiocbyd7b/Ly8kJ4eHih41gaNGiAmzdv5rumq6trkWdz5bUU5eTkFKl+3n1jY2OhpaWV776WlpbvPd/a2hpGRkbYtm2bPFEGgKCgIFy6dAnh4eEIDw/Hb7/9BgA4fvw4xo0bJz8/r8XL29u7yDETVTRsuSGqIOLj4/HRRx/h008/hZeXF4yNjREaGooff/wR3bt3l9ebMmUKhg4ditq1a6NDhw54+fIl1q5di7t37yr8kgLEQcr9+vXDjBkzkJSUVOjU4OKoUqUKLCwssHbtWtja2iI6Ojpfl9OLFy8wePBgjB8/Hp06dYKDgwN8fHzQtWtXfPTRRwVe19vbG1ZWVjh58iS6du2q8Nyff/4JHx8fNG/eHJs3b8a5c+cQEBAAAPj444/x008/oXv37pgzZw7s7e0RHR2NnTt34n//+x/s7e0LvN+AAQMwb9489OjRA/Pnz4etrS3CwsJgZ2cHX19ffPvtt+jatSuqV6+Ojz76CBoaGrh8+TKuXLmC77//vkjvVY0aNSCTybBnzx507twZ+vr6MDIyeuc57dq1g6+vL3r06IEFCxbAzc0Njx8/xr59+9CjRw/4+PgUeN4vv/wCPz8/GBkZITg4GP/73//www8/yFt7XFxcFOo/e/YMAODu7q7QInTmzBno6urm6wokqlSkHvRDRKL09HRh2rRpQoMGDQRTU1PBwMBAcHNzE7755hshLS1Noe7WrVsFHx8fwcTERKhatarQsWNHITQ0tMDrnjp1SgAgdOjQId9zBQ0qXb9+vWBqaqpQ77vvvhPq1asnfxwcHCy4u7sLurq6gpeXlxASEqIw0PmTTz4RPD09FQbFLlu2TDA3NxcePnxY6Hswbdo0oX///gplAIQVK1YI7du3F3R1dYUaNWoIf/zxh0KdmJgYYciQIYKlpaWgq6srODs7CyNHjhSSkpIEQXg9Ffxt9+/fF3r37i2YmJgIBgYGgo+Pj3D27Fn58wcOHBD8/PwEfX19wcTERGjcuLGwdu1ahdjeHtxtamoqrF+/Xv54zpw5go2NjSCTyYo8FTw5OVkYP368YGdnJ2hrawvVq1cXPv74YyE6OrrQ927w4MGCubm5oKOjI3h5eQkbN24stK4gFD6g+LPPPhNGjRr1znOJKjqZILwxT5SISEJPnjyBh4cHLly4gBo1agAQx7Ds2rULPXr0kDY4NfD06VPUrl0boaGh8rE6RJURx9wQUYVhbW2NgIAAhVlXVH4iIyOxcuVKJjZU6bHlhogqNLbcEFFxcUAxEVVo/PuLiIqL3VJERESkUpjcEBERkUphckNEREQqhckNERERqRQmN0RERKRSmNwQERGRSmFyQ0RERCqFyQ0RERGpFCY3REREpFL+H4Q6ukCB4G3GAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy import io \n", "from scipy.io import loadmat\n", "from scipy.stats import gamma\n", "\n", "\n", "# Load .mat files\n", "suv_file = \"../data/suv_percentilesSLOthenUWM.mat\"\n", "flags_file = \"../data/flags_combined.mat\"\n", "\n", "suv_data = loadmat(suv_file)\n", "flags_data = loadmat(flags_file)\n", "\n", "# Extract data\n", "suv = suv_data['lung_SUVperc_COMBINED'][0:58, :, :] # SUV shape: (58, patients, percentiles)\n", "flags = flags_data['flags'][0:58, 3] # Binary adverse effect (0 or 1)\n", "\n", "p = 94 # Use 94th percentile (0-indexed)\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1) # Shape (58, 1)\n", "y = flags.astype(int) \n", "\n", "X_ae = X[y == 1].ravel()\n", "X_nc = X[y == 0].ravel()\n", "\n", "\n", "p_ae = len(X_ae) / len(X)\n", "p_nc = len(X_nc) / len(X)\n", "\n", "\n", "# === Fit Gamma Distributions ===\n", "a_ae, loc_ae, scale_ae = gamma.fit(X_ae, floc=0)\n", "a_nc, loc_nc, scale_nc = gamma.fit(X_nc, floc=0)\n", "\n", "# === Plot PDFs ===\n", "x_vals = np.linspace(0, np.max(X), 500)\n", "pdf_ae = gamma.pdf(x_vals, a_ae, loc=0, scale=scale_ae)\n", "pdf_nc = gamma.pdf(x_vals, a_nc, loc=0, scale=scale_nc)\n", "\n", "plt.hist(X_ae, bins=15, density=True, alpha=0.5, label=\"AE data\")\n", "plt.hist(X_nc, bins=15, density=True, alpha=0.5, label=\"NC data\")\n", "plt.plot(x_vals, pdf_ae, 'r-', label=\"Gamma fit AE\")\n", "plt.plot(x_vals, pdf_nc, 'b-', label=\"Gamma fit NC\")\n", "plt.xlabel(f\"SUVmax (percentile {p})\")\n", "plt.ylabel(\"Density\")\n", "plt.title(\"Gamma Distribution Fits\")\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 21, "id": "d3bb617d", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.optimize import minimize\n", "from scipy.special import expit \n", "\n", "p = 94 \n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1, 1) \n", "y = flags.flatten().astype(int) \n", "\n", "from scipy.optimize import minimize\n", "from scipy.special import expit # sigmoid\n", "\n", "x = X.flatten()\n", "\n", "def neg_log_likelihood(params):\n", " beta0, beta1 = params\n", " probs = expit(beta0 + beta1 * x)\n", " # Add epsilon to avoid log(0)\n", " eps = 1e-8\n", " return -np.sum(y * np.log(probs + eps) + (1 - y) * np.log(1 - probs + eps))\n", "\n", "res = minimize(neg_log_likelihood, [0, 0], method='BFGS')\n", "beta_hat = res.x\n", "\n", "hess_inv = res.hess_inv\n", "cov_matrix = hess_inv if isinstance(hess_inv, np.ndarray) else hess_inv.todense()\n", "\n", "import matplotlib.pyplot as plt\n", "beta_samples = np.random.multivariate_normal(beta_hat, cov_matrix, size=1000)\n", "\n", "x_vals = np.linspace(x.min(), x.max(), 300)\n", "prob_samples = [expit(b[0] + b[1] * x_vals) for b in beta_samples]\n", "mean_curve = expit(beta_hat[0] + beta_hat[1] * x_vals)\n", "lower = np.percentile(prob_samples, 2.5, axis=0)\n", "upper = np.percentile(prob_samples, 97.5, axis=0)\n", "\n", "plt.plot(x_vals, mean_curve, label='MLE Sigmoid Fit')\n", "plt.fill_between(x_vals, lower, upper, alpha=0.3, label='95% CI')\n", "plt.scatter(x, y, color='black', alpha=0.6, label='Observed')\n", "plt.xlabel(\"SUV (94th Percentile Max)\")\n", "plt.ylabel(\"P(Adverse Effect)\")\n", "plt.title(\"Sigmoid Curve (MLE) with 95% Confidence Band\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "db1a7d63", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import norm\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "x = X.flatten()\n", "x1 = x[y == 1]\n", "x0 = x[y == 0]\n", "\n", "mu1, std1 = x1.mean(), x1.std(ddof=1)\n", "mu0, std0 = x0.mean(), x0.std(ddof=1)\n", "\n", "\n", "# I am not sure we should do this or not????? I just read about the thory of Bayesian inference and I am trying to apply it here.\n", "p1 = len(x1) / len(x)\n", "p0 = 1 - p1\n", "\n", "se_mu1 = std1 / np.sqrt(len(x1))\n", "se_mu0 = std0 / np.sqrt(len(x0))\n", "\n", "x_vals = np.linspace(x.min(), x.max(), 300)\n", "\n", "#FREQUENTISTIC approach\n", "n_samples = 1000\n", "mu1_samples = np.random.normal(mu1, se_mu1, size=n_samples)\n", "mu0_samples = np.random.normal(mu0, se_mu0, size=n_samples)\n", "\n", "# Assume std1 and std0 are fixed (optional: sample these too)\n", "curve_samples = []\n", "\n", "for m1, m0 in zip(mu1_samples, mu0_samples):\n", " p_x_y1 = norm.pdf(x_vals, loc=m1, scale=std1)\n", " p_x_y0 = norm.pdf(x_vals, loc=m0, scale=std0)\n", " posterior = (p_x_y1 * p1) / (p_x_y1 * p1 + p_x_y0 * p0)\n", " curve_samples.append(posterior)\n", "\n", "curve_samples = np.array(curve_samples)\n", "\n", "# Compute confidence bands\n", "lower = np.percentile(curve_samples, 2.5, axis=0)\n", "upper = np.percentile(curve_samples, 97.5, axis=0)\n", "mean_curve = (norm.pdf(x_vals, mu1, std1) * p1) / (\n", " norm.pdf(x_vals, mu1, std1) * p1 + norm.pdf(x_vals, mu0, std0) * p0\n", ")\n", "\n", "plt.plot(x_vals, mean_curve, label='Bayes Posterior', color='navy')\n", "plt.fill_between(x_vals, lower, upper, alpha=0.3, color='skyblue', label='95% CI')\n", "plt.scatter(x, y, color='black', alpha=0.4, label='Observed')\n", "plt.xlabel(\"SUV (94th Percentile Max)\")\n", "plt.ylabel(\"P(Adverse Effect | SUV)\")\n", "plt.title(\"Bayesian Posterior Curve with Confidence Bands\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "cd0a8ff6", "metadata": {}, "outputs": [], "source": [ "#LOAD DATA\n", "\n", "import numpy as np\n", "from scipy import io\n", "from scipy.stats import gamma\n", "data_path = \"../data/\"\n", "suv = io.loadmat(data_path + \"suv_percentilesSLOthenUWM.mat\")['lung_SUVperc_COMBINED'][0:58, :, :]\n", "flags = io.loadmat(data_path + \"flags_combined.mat\")['flags'][0:58, 3]\n", "\n", "p = 94 # Choose slice index\n", "X = np.nanmax(suv[:, :, p], axis=1).reshape(-1)\n", "y = flags.astype(int) # 1 = AE, 0 = NC\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 21, "id": "ccb6fc6d", "metadata": {}, "outputs": [], "source": [ "#DISTRIBUTION FITTING\n", "def fit_gamma(data):\n", " shape, loc, scale = gamma.fit(data, floc=0)\n", " return gamma(a=shape, loc=loc, scale=scale)\n", "\n", "gamma_AE = fit_gamma(X[y == 1])\n", "gamma_NC = fit_gamma(X[y == 0])\n" ] }, { "cell_type": "code", "execution_count": 24, "id": "c163d4e2", "metadata": {}, "outputs": [], "source": [ "def compute_nllf(X, y, class_prob_AE, class_prob_NC, gamma_AE, gamma_NC):\n", " log_P_yi = np.where(y == 1, np.log(class_prob_AE), np.log(class_prob_NC))\n", " log_P_x_given_y = np.where(y == 1, gamma_AE.logpdf(X), gamma_NC.logpdf(X))\n", " return -np.sum(log_P_yi + log_P_x_given_y)\n", "\n", "\n", "class_prob_AE = np.mean(y == 1)\n", "class_prob_NC = np.mean(y == 0)" ] }, { "cell_type": "code", "execution_count": 25, "id": "ddc5b207", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Negative Log-Likelihood (NLLF): 23.357515051342666\n" ] } ], "source": [ "nllf_value = compute_nllf(X, y, class_prob_AE, class_prob_NC, gamma_AE, gamma_NC)\n", "print(\"Negative Log-Likelihood (NLLF):\", nllf_value)\n" ] }, { "cell_type": "code", "execution_count": 26, "id": "4cda8eb5", "metadata": {}, "outputs": [], "source": [ "from scipy.stats import gamma\n", "import numpy as np\n", "\n", "def gamma_nllf(params, data):\n", " shape, scale = params\n", " if shape <= 0 or scale <= 0:\n", " return np.inf # reject invalid parameter values\n", " return -np.sum(gamma.logpdf(data, a=shape, scale=scale))\n" ] }, { "cell_type": "code", "execution_count": null, "id": "a6ad10b7", "metadata": {}, "outputs": [], "source": [ "from scipy.optimize import minimize\n", "\n", "def estimate_gamma_params_mle(data):\n", " initial_guess = [1.0, 1.0]\n", " bounds = [(1e-6, 100), (1e-6, 100)] # prevent zero or negative values\n", " result = minimize(gamma_nllf, initial_guess, args=(data,), method='L-BFGS-B', bounds=bounds)\n", " if result.success:\n", " return result.x # shape, scale\n", " else:\n", " raise RuntimeError(\"Optimization failed:\", result.message)\n" ] }, { "cell_type": "code", "execution_count": 28, "id": "610afc86", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AE parameters: shape = 9.848637357041952 scale = 0.24888715600334088\n", "NC parameters: shape = 27.827268202559804 scale = 0.04699025997243377\n" ] } ], "source": [ "X_AE = X[y == 1]\n", "X_NC = X[y == 0]\n", "\n", "shape_ae, scale_ae = estimate_gamma_params_mle(X_AE)\n", "shape_nc, scale_nc = estimate_gamma_params_mle(X_NC)\n", "\n", "print(\"AE parameters: shape =\", shape_ae, \"scale =\", scale_ae)\n", "print(\"NC parameters: shape =\", shape_nc, \"scale =\", scale_nc)\n" ] }, { "cell_type": "code", "execution_count": null, "id": "5aceec14", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjMAAAHECAYAAADMLav+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAACQRklEQVR4nO3dd3gUVdsG8Ht2N7vppPdOIBBK6EiNgqKiiIoF5VVEFFGaKKLgqygqoKIiHwiiFLEgKOILigXpRRSQTgiEkAKkkkB6ts33RzZjlrSZzCZnJ/v8risXm93ZmSc3M5uTmTPncDzP8yCEEEIIUSgV6wIIIYQQQuSgxgwhhBBCFI0aM4QQQghRNGrMEEIIIUTRqDFDCCGEEEWjxgwhhBBCFI0aM4QQQghRNGrMEEIIIUTRqDFDCCGEEEWjxgwhpMWsWbMGHMdhzZo1NltnSkoKRo0aheDgYKhUKnh5edls3Y4kLS0NHMfhiSeeYF0KIZJRY4Y4rKSkJEybNg3dunWDt7c3nJyc4Ovri/79+2P27Nk4c+YM6xIVY9euXeA4rsGvtLS0et8fFRWFqKgoyds1m82477778NNPP+Guu+7C66+/jldeeaXpP0gTVTfSOI7DzJkz61ymOqP//Oc/db5uNpvx/fffY9SoUQgPD4ezszPc3NzQsWNHTJgwAfv375dc19mzZzFlyhR07twZbdq0gVarRUhICO666y6sXLkSFRUVktdJiD3SsC6AkJbG8zxef/11vPPOO+B5Hn369MGYMWPQpk0bXL9+HUePHsV7772HBQsWYP369XjwwQdZl6wYkZGR9f5l7+Xlhfvuuw833XQTgoODbbK91NRUnDp1Ck8//TRWrFhhk3XKtXjxYkyaNAmRkZGi35OdnY0HHngA+/fvh4eHB2677Ta0bdsWPM8jJSUF69evx2effYbFixdjypQpotY5d+5cvPnmmzCbzbjpppswduxYeHh4ICcnB3v27MFTTz2FZcuW4fDhw039UQmxG9SYIQ7njTfewNtvv43o6GisX78evXv3rrVMZmYmFixYgGvXrrV8gQoWFRWFN954o8Fl2rRpY7PtXblyBQAQEhJis3XKERsbi5SUFMyePRtff/21qPeUlZXhjjvuwPHjxzF69Gh88skn8Pb2tlqmpKQEH3zwAYqKikSt85133sGcOXMQHh6O7777Dn379q21zK+//or33ntP1PoIsXs8IQ4kJSWF12g0vE6n48+ePdvo8gaDwer7w4cP81OnTuW7du3Ke3t78zqdjo+NjeWnT5/OX716tdb7V69ezQPgV69ezf/+++/8wIEDeTc3N97Pz49/4okn+MLCQp7nef7QoUP8nXfeyXt5efFubm78Pffcw6elpdVaX2JiIg+A1+v1/JtvvsnHxMTwOp2Ob9++Pb9ixQphuSVLlvCdOnXinZ2d+dDQUH7OnDm8yWSqs77777+fj46O5p2dnXkPDw++f//+/BdffNFoNjXt3LmTB8AnJiY2uFzNPGq+r66vsWPHNriu+t43Z84cYZnCwkL+5Zdf5tu1a8frdDrey8uLv+222/jff/+93p9hzpw5/J9//snfcccdvJeXFw+Av3jxoqifa/bs2Xz37t15juP4Q4cO1bn+MWPGWD3/1ltv8QD4AQMG1Pl/VFNFRUWDr/M8z1+8eJF3cnLinZyc+JMnT4pe38WLF+vMPTk5mX/55Zf5nj178n5+frxWq+UjIiL4p556ik9PT6+1TrPZzK9cuZK/6aabeD8/P16n0/HBwcH80KFD+XXr1lkt+88///APPfQQHxERwWu1Wt7Hx4fv0qULP3XqVF6v1zf6sxJSjc7MEIeyZs0aGI1GjB49GnFxcY0ur9FYHyKfffYZNm3ahMTERNx6660wmUw4fPgwPvroI2zduhWHDh2Ch4dHrfVs3rwZP/30E+6++25MnDgRBw4cwJo1a5CWloa33noLt912GxITEzF+/HicOnUKmzdvRkpKCk6ePAmVqnbXttGjR+Ovv/7C8OHD4eTkhO+//x4TJkyAVqvF4cOH8c033+Duu+/Grbfeii1btuDNN9+Ei4sLXn75Zav1PPvss4iPj8fgwYMRHByM/Px8/Pzzzxg7dizOnj2LefPmSUxYmqioKMyZMweLFi0CADz//PPCa926dWvwvXPmzEFaWhq++OILJCYm4uabbwYA4d/CwkL0798fZ8+eRZ8+fXD//fcjPz8fGzZswO23344lS5bgueeeq7XeAwcOYN68eRg0aBDGjx+P3NxcaLVaUT8Px3FYuHAhhg4dihkzZmDXrl2Nvuezzz4DALz22mt1/l/XpNPpGl3f6tWrYTAYMHr0aHTu3Fn2+n744QcsX74ct9xyC/r37w+tVotTp05h5cqV2Lx5M44cOYKwsDBh+VdeeQXvvfceoqOj8dBDD6FNmzbIysrCoUOH8P3332P06NEAgGPHjqFfv35QqVS45557EB0djaKiIqSkpGDZsmV455134OTk1Gh9hACgMzPEsdxyyy08AH7lypVNen9aWhpvNBprPb98+XIeAD9//nyr56v/Yler1fzu3buF500mE3/rrbfyAPg2bdrwX331ldX7nn76aR4A/+OPP1o9X31mplevXsJZHZ7n+QsXLvBOTk58mzZt+KioKP7SpUvCa9euXeP9/Px4Pz+/WmeaUlJSav0sFRUV/M0338xrNBo+MzOz8VD4f886REZG8nPmzKn1tXPnTqs8qs/MVIuMjOQjIyNFbauu7dY8G1OtOsNnn33W6vmzZ8/yHh4evJOTE5+amlprXQD45cuXS6qj+ud69dVXeZ7n+bvuuosHwP/vf/+rtf6aZ2bS09N5ALxGo+HLy8slbbM+1fv4Z599Jul99Z2ZuXTpUp1nhLZu3cqrVCr+mWeesXre29ubDwkJ4UtKSmq9Jy8vT3g8ffp0HgC/adOmWssVFBQ0epaKkJrobibiULKzswHU3cfi7NmzeOONN6y+Vq1aZbVMZGQk1Gp1rfdOmDABnp6e+P333+vc7qOPPorBgwcL36tUKjz22GMAgK5du2LMmDFWy1ff8XLs2LE61/fuu+9a3YIcExODgQMH4vr163jttdcQGhoqvNamTRuMGDEC+fn5uHz5stV62rZtW2vdOp0OkydPhtFoxI4dO+rcfn3S09Px5ptv1voSc4bClvR6Pb766iu4u7vjnXfesXotLi4OU6ZMgcFgwJdfflnrvQkJCXjmmWdkbf+9996DWq3Gyy+/DKPRWO9y1fujr68vnJ2dZW3zxnXWPFsiR2hoaJ1ncO68807Ex8fX2uc5joNWq611VhMA/Pz8rJYDAFdX11rLeXt7N3qWipCaaG8hDoXneQD/fpDWdPbs2Vq/hG9szBgMBixZsgQDBw6Ej48P1Go1OI6DSqVCUVFRrcZCtZ49e9Z6rrpB1dBrly5datb1ZWRkYNKkSejQoQNcXV2F24sfeOABAKj356lPYmIieJ6v9dVYp2BbS05ORnl5uXDb/Y1uvfVWAMA///xT67W6OstKFR8fj/Hjx+Ps2bMN3mXV0P7YVLZeJ8/z+Oqrr3DrrbfC398fGo1G2E9OnTpVax8ZM2YM0tLS0KlTJ8yePRu//vorrl+/Xmu9o0ePhlqtxr333ouxY8di7dq1uHDhgk1qJo6H+swQhxIUFISzZ8/W+Uv63nvvFX4RpKWlITo6utYyDz/8MDZt2oSYmBiMHDkSQUFBwl+tixYtQmVlZZ3bresOnuq/XBt6zWAwNNv6UlNT0adPHxQWFmLQoEEYNmwY2rRpA7VaLfRFqe/nsXfVvzyDgoLqfL361vC6fsnW9x6p5s6di2+++QZvvvmmcBbuRtWNzPz8fFRUVNjk7ExISAjOnj1bb0NYqhdeeAGLFi1CcHAwbr/9doSGhsLFxQVAVR+09PR0q+U/+ugjtG3bFqtWrcL8+fMxf/58aDQa3HXXXfjwww8RExMDAOjduzf27t2Ld955B9999x3Wrl0LAOjQoQPeeOMNPPzwwzapnzgGaswQhzJgwADs2rULO3bswJNPPinpvYcPH8amTZswdOhQ/PLLL1adE81ms+Juc/3www9x9epVrF69utbYMOvWrcMXX3zBpjAbqG7QVV9yuVFWVpbVcjXZ6oxGYGAgXnrpJcyZMwcLFizAbbfdVmuZ8PBwREREICMjA3v27MGwYcNkb3fgwIHYsWMHtm/fjvHjx8taV25uLhYvXozOnTvjwIEDtTq3r1u3rtZ71Go1pk2bhmnTpiE3Nxf79u3Dt99+i++++w5nzpzBqVOnhA7V/fr1w08//YTKykocOXIEv/76K/7v//4PjzzyCPz9/TFkyBBZ9RPHQZeZiEN54oknoFar8f333yM5OVnSe1NSUgAAI0eOrHWXxd9//43y8nKb1dkSqn+eUaNG1Xpt9+7dLVqLWq2GyWSy2fri4uLg6uqKY8eOobCwsNbrO3fuBAD06NHDZtusy4wZMxASEoKPPvqo3jMlEyZMAAC8/fbbMJvNDa5PzJmycePGwcnJCRs3bmx0FOvG1peamgqz2Yxhw4bVashcunQJqampDb4/ICAA999/PzZs2IAhQ4bg/PnzOHXqVK3ldDod+vfvj7lz52Lx4sXgeR4//vhjg+smpCZqzBCHEhsbi9mzZ6OyshJ33nknDh06VOdydQ2WVz3c/o2dWXNzczFp0iQbV9r8qn+e6l/s1X777Td8/vnnLVqLr68v8vLybDa8vlarxZgxY1BSUoLXX3/d6rULFy5g8eLFcHJyqvfyj624urrirbfeQnl5Od588806l5k+fToSEhKwd+9ePP7443XueyUlJZg7dy4WLlzY6DarBy7U6/W466676h3h99dff8Wdd97Z6LoAYN++fVaNzZKSEjz99NO1OjdXVlZi+/btwuXaagaDAQUFBQAgXErbu3dvnZf5cnJyrJYjRAy6zEQcTvUQ7/PmzUOfPn3Qp08f9O7dG15eXigoKEBKSgp27NgBjuMwcOBA4X29e/fGgAED8MMPP6B///4YOHAgcnJy8MsvvyAuLs5uRqEV67nnnsPq1avx0EMPYdSoUQgNDcWpU6fw66+/4qGHHsL69etbrJahQ4fi0KFDuPPOOzFo0CBotVokJCRgxIgRTV7nggULsHfvXixZsgSHDh3CLbfcIowzU1xcjCVLltTZL8rWnnjiCSxatAgnT56s83VXV1f8+uuveOCBB/D1119jy5YtuO222xAbGwuz2YyUlBRs374dRUVFWLJkiahtzp49G0ajEW+++SZ69+6N/v37o1evXnB3dxemMzh//jx69erV4HqCgoIwevRofPvtt+jWrRuGDRuG69evY9u2bXB2dka3bt2s7rgrLy/HrbfeiqioKPTt2xeRkZGoqKjAtm3bkJSUhLvvvhvx8fEAgA8++AC///47br75ZsTExMDd3R2nT5/GL7/8Ai8vL+GMFSFiUGOGOByO4/D222/j0UcfxfLly7Fr1y58+eWXKCsrg6enJ9q3b48ZM2bg8ccfFz54gapLIZs3b8Z///tfbN26FYsXL0ZoaCieeuop/Pe//7VaVgm6du2KnTt3Cj+P0WhEQkICfvjhB3h5ebVoY+a///0vrl27hi1btmDv3r0wmUwYO3asrMaMj48P/vzzT8yfPx8//PADPvzwQ7i4uKBPnz546aWXbNI/RQyVSoX3338fd9xxR73LBAUFYc+ePdi4cSPWrVuHgwcP4qeffoJKpUJERAQefPBBPPnkk+jfv7/o7b7++ut48MEH8cknn2Dnzp1YvXo1Kioq4Ovri27duuHll1+ud9LLmlauXImYmBisX78eS5cuhb+/P+655x7MnTu31iVKNzc3vPvuu9i5cycOHDiAH3/8ER4eHmjbti2WLVtm1U/tueeeg7e3N/766y/s378fRqMRYWFheO655/Diiy9KmtuKEI6/8XwgIYQQQoiCUJ8ZQgghhCgaNWYIIYQQomjUmCGEEEKIolFjhhBCCCGKRo0ZQgghhCgaNWYIIYQQomgOMc6M2WyGXq8XZjgmhBBCiP3jeR4mkwlarRYqVf3nXxyiMaPX67F//37WZRBCCCGkCQYMGNDgFBcO0ZhRq9UAgM6dOwuPbeXs2bPo0KGDTdfZmlFe0lBe4lFW0lBe0lBe4tkyK5PJhFOnTjX6u9shGjPVl5bUarXNGzNBQUE2X2drRnlJQ3mJR1lJQ3lJQ3mJ1xxZNdZFhDoAE0IIIUTRqDEjU/V09UQcyksayks8ykoayksayks8FllRY4YQQgghikaNGZliY2NZl6AolJc0lJd4lJU0lJc0lJd4LLJyiA7Azeny5cuIjo5mXYZiUF7SUF7iOVpWer0excXF4Hm+SeNnlZeXw8XFpRkqa50oL/HEZlW973p4eECr1craJjVmZCovL2ddgqJQXtJQXuI5UlZ6vR5FRUXw8fFpcCCxhtAvZ2koL/GkZGU2m1FQUABPT09ZDRq6zCRTQ4P4kNooL2koL/EcKavi4mJZDRkAst7riCgv8aRkpVKp4OPjg+LiYnnblPVugoiICNYlKArlJQ3lJZ4jZcXzvOxfrnJP6zsayks8qVmpVCrwPC9rm9SYkencuXOsS1AUyksayks8R8rKFnPMVVRU2KASx0F5ideUrOTu09SYIYQQQoiiUWNGJn9/f9YlKArlJQ3lJR5lJY1GQ/d/VEtISMCyZcvqfT0jIwOhoaE4efJkC1alXCz2LdqbZaIPBGkoL2koL/EoK2DHjh2ilzWbzbL73QwZMkTS8pMmTcK6desAVP1/eXt7Iz4+HqNGjcKjjz4qqZ5vvvkGs2fPRlpamqQamqK6IRMYGNjoshkZGejWrRt2796NLl26NHtt9sgWl0GlojMzMmVlZbEuQVEoL2koL/EoK2nMZjOT7Q4dOhRJSUk4duwYNmzYgEGDBmH27NkYPXo0jEYjk5oao1ar4ePjY3cNZp7n7TIzg8HQ4tukxgwhhJAWo9PpEBgYiJCQECQkJOCFF17AV199hT/++APffPONsNzSpUsxYMAAhIWFoXPnzpgxYwZKSkoAAPv27cPkyZOFsXZ8fHywYMECAMCGDRswZMgQREREoEOHDnj66aeRl5fXaF3l5eWYPHkyIiIi0KVLF6xZs0Z47cbLTNeuXcOECRPQrl07hISEoFevXvj6668BAN26dQMAJCYmwsfHByNGjABQ1Xh877330KlTJwQFBWHw4MH4448/rGr466+/MHjwYAQHB2PIkCH4+eef4ePjI2x337598PHxwfbt2zFkyBAEBQXhzz//xMWLFzFmzBjExcUhPDwcQ4cOxa5du6zWnZCQgIULF+LZZ59FeHg4unbtiq1btyI/Px9jxoxBeHg4BgwYgKNHj4r8n7Qv1JiRKSYmhnUJikJ5SUN5iUdZSaNWq1mXIBg8eDA6d+6Mn376SXhOpVJhwYIF2L9/Pz755BPs3bsXb7zxBgCgT58+mDdvHjw8PJCUlISkpCRMnjwZQNWAgrNmzcKePXvw5ZdfIj09HZMmTWq0hqVLl6J79+7YtWsXxo8fjxkzZtR7h9y8efOQnJyMDRs24ODBg1i4cCF8fX0BQGigbNq0CUlJSVi7di0AYPny5Vi6dCnmzp2LvXv3YsiQIRgzZgwuXLgAoGrsoEcffRTx8fHYuXMnZs2ahTfffLPO7b/xxht47bXXcPDgQXTq1AmlpaW47bbbsGnTJuzatQtDhgzBo48+ikuXLlm9b9myZejbty927dqFYcOGYeLEiXj22Wfx4IMPYufOnYiJicGzzz4r+zZpnU4n6/1NYV/nzBQoJycHkZGRrMtQDMpLGlZ5Sel7UU1q/wlbb4f2LWnMZrNdNWjatWuH06dPC98/++yzwuPIyEjMmjULM2bMwMKFC6HVauHp6QmO42r1Y/nPf/4jPI6KisKCBQtw6623oqSkBO7u7vVu/7bbbsP48eMBANOmTcOyZcuwf/9+tG/fvtayly5dQpcuXdC9e3cA1mMc+fn5AQB8fHysalu6dCmmTZuGUaNGAahqkOzbtw/Lly/H+++/j++//x4cx2HRokVwdnZGhw4dkJWVheeff77W9mfNmoVbbrlF+N7HxwedO3cWvn/11Vfx008/4ZdffsHTTz9t9TM+8cQTAICXXnoJq1atQvfu3XHvvfcCAKZOnYrbb78dubm5ovoH1cdgMLR4g4YaMzKVlpayLkFRKC9pKC/xKCtp5P71bWs3zjG1d+9efPjhhzh37hyKi4thNBpRUVGB0tJSuLm51bueEydO4N1338XJkydx7do1oW/QpUuX0KFDh3rfFx8fLzzmOA4BAQH1Xp4aN24cnnjiCZw4cQK33HILhg8fjr59+9a77qKiImRlZdVapk+fPkID7vz58+jUqZPVSNY9e/asc33Vl7KqlZaW4r333sNvv/2G7OxsmEwmlJeX1zozU/NnDAgIqPe5/Px8WY0ZFv2x6DKTTDQqpDSUlzSUl3iUlbKdO3dOOLOWmZmJhx9+GB07dsSaNWuwY8cOvPfeewDQYIfX0tJSjBo1Cm5ubvj000/xxx9/CJd5GuuU6uTkZPU9x3H1/lK+7bbbcPz4cUycOBHZ2dm477778NprrzX6M954l0/NBlxdE4bW1+C8sTE3Z84cbNmyBf/973+xdetW7N69G/Hx8dDr9fX+jNXbqus5uY0RuptJgeg6vTSUlzSUl3iUlTT2dIlpz549OHPmjNBZ9ujRozAajXj77bfRu3dvxMbGIjs72+o9Wq221i/d8+fP4+rVq3j99dfRr18/tG/fHvn5+c1Ss5+fHx599FF8+umnmDdvHr744gsA/zYOTCaTsKynpyeCg4Nx8OBBq3UcOnRIuIzVvn17nD59GpWVlcLrYjvj/vnnn3jkkUdw9913Iz4+HgEBAcjIyJD188nBos8MNWZkOnv2LOsSFIXykobyEo+ykqbmL9uWVFlZiZycHFy5cgXHjx/Hhx9+iP/85z+4/fbbMXr0aABAdHQ0jEYjVqxYgbS0NKxfvx6rV6+2Wk94eDhKSkqwe/duXL16FWVlZQgLC4NWq8Vnn32GtLQ0/PLLL1i4cKHNf4Z58+Zh69atSE1NRVJSEn777TehUeLv7w8XFxds374dubm5KCoqAgBMnjwZH3/8MX744QecP38eb775Jk6ePIlnnnkGADBq1CiYzWZMnz4dycnJ2L59O5YsWQKg8TMdMTEx+Omnn3Dy5EmcOnUKEyZMYHbrPcBm6gfqM0MIIa2ElE7Y5eXlcHFxacZq6rZ9+3Z07NgRGo0GXl5e6NSpE+bPn49HHnlEGDSvS5cuePvtt7F48WK89dZb6NevH15//XWrTsF9+/bFuHHjMH78eBQUFGDmzJl45ZVXsHTpUrz11ltYsWIFunbtirlz5+LRRx+16c+g1Woxd+5cZGZmwtnZGf369cPKlSsBVA0GOH/+fLz//vuYP38++vXrhy1btuCZZ55BcXExXnvtNeTn5yMuLg5ff/012rZtC6Dq7M0333yDGTNmIDExEfHx8Zg5cyaefvrpRs90vPPOO5gyZQruuOMO+Pj4YNq0abJnoVYajre3XmDNwGg0Yvfu3UhISLD5qdWcnBxZHaUcDeUlDau8lHo3k6PsW1evXhVuBW4qg8FQq58IqR+LvL777jtMnjwZaWlpTBqeTdWUrOrbp00mE44fP47ExMQGBy2kMzMysbg2qGSUlzSUl3iUlTQsOmkqWUvk9e233yIqKgrBwcE4deoU3njjDdx7772KasgAbPYtaszIdOXKFXh5ebEuQzEoL2koL/EoK2kMBoPdDc9vz1oir9zcXMyfP18Y52XkyJH473//26zbbA4s9i3akwkhhBA7MHXqVEydOpV1GYpEdzPJFB0dzboERaG8pKG8xKOspKHLctJQXuLRrdkK1FxjGLRWlJc0lJd4lJU09jjbsj2jvMRjkRU1ZmRytNvf5KK8pKG8xKOspGE1zoxSUV7isciKGjMyUQc6aSgvaSgv8SgraehuJmkoL/FoOgMFqmtGVVI/yksayks8ykqamhMaksZRXuKxyIoaMzKdOXOGdQmKQnlJQ3mJR1lJU15ezroERaG8xGORFTVmCCGEMDdixAjMmjWrxbb3zTffICoqqsW2R5oXNWZk8vHxYV2ColBe0lBe4lFW0rDoYzRp0iT4+PjU+kpNTcXatWsxe/ZsYdmEhAQsW7bM6v0sGiB79+7F6NGj0bVrVwQHB6NHjx548sknceDAgRato7nV/L8JCAhA9+7d8dprr6G0tBQAkJGRYfV/FhERgX79+uGll17ChQsXrNb1/fff1/n/vHbt2marn3rMyeTq6sq6BEWhvKShvMSjrKSpntSxpQ0dOlSYDbqan5+fzefNs4WVK1di5syZePjhh/HZZ58hOjoa2dnZOHr0KF599VXs3LmTdYk2Vf1/YzAYcPDgQUybNg1lZWX44IMPhGU2bdqEDh06oLy8HGfOnMGnn36KwYMH45tvvkFiYiKAqg7AHh4e+Pvvv63W7+np2Wy105kZmS5dusS6BEWhvKShvMSjrKTR6/VMtqvT6RAYGGj1pVarrS4zjRgxApmZmXj11VeFv+r37duHyZMno6ioSHhuwYIFws8yZ84cdOrUCWFhYbj11luxb98+q+1+88036NKlC0JDQ/HYY4+hoKCgwTovXbqE2bNnY+LEifjkk0/Qt29fREZGom/fvpg4caLVJKkFBQV46qmn0KlTJ4SGhmLAgAHYuHGj1fpGjBiBl19+GbNmzUJ0dDTi4uKwZs0alJaWYtKkSYiIiECPHj2wbds24T379u2Dj48Ptm/fjsTERISEhGDkyJHIy8vDtm3b0LdvX0REROCpp55CWVmZ8L4//vgDd955J6KiotC2bVuMHj0aFy9eFP1/ExYWhgceeAAPPPAAtm7darWMj48PAgMDERUVheHDh2PTpk3o2bMnpk6dKtySbTQawXFcrf/n5pxjihozhBBC7MratWsREhKCWbNmISkpCUlJSejTpw/mzZsHDw8P4bnJkycDACZPnoy//voLn3/+Ofbu3YuRI0fiwQcfFC5/HD58GFOmTMH48eOxe/duDBw40OpsQ102b94Mg8FQ7/QCNW8/rqioQEJCAr799lvs378fY8eOxcSJE3H48GGr96xbtw6+vr74448/8PTTT2PGjBkYN24c+vTpg507d2LIkCF49tlnrRomAPDuu+/i3Xffxa+//orLly/jySefxPLly/HZZ59h/fr12LVrFz777DNh+bKyMjz33HPYvn07fvzxR6hUKjz22GMwm83i/xMAuLi4wGAwNLiMSqXCM888g8zMTBw7dkzS+m2JLjPJFBkZyboERaG8pKG8xHP0rDyGDIEqJ0f08p4AbDEaiDkwEMU1zlI05rfffkN4eLjw/dChQ7FmzRqrZby9vaFWq+Hu7o7AwEDheU9PT+Ev/moXL17Exo0bcerUKQQHBwMApkyZgh07duCbb77Ba6+9hk8//RRDhgzB888/DwCIjY3F33//je3bt9db54ULF+Dh4SFsS6vVYvPmzZg0aZLVzxIfH4+QkBBMmTJFeH7ChAnYvn07/ve//6FXr17C8507d8aMGTMAANOnT8fHH38MX19fjB07FgDw0ksvYdWqVTh9+jR69+4tvO/VV1/FTTfdBAD4z3/+g7lz5+Kff/4R+g/dc8892Lt3L6ZNmyZ8X9PixYvRvn17nD17FvHx8fX+zDUdOXIE33//PQYPHtzosu3atQNQ1a+mZ8+e0Gg0KCoqsvp/dnNzw9mzZ0VtuymoMSNTYWEh3NzcWJehGJSXNJSXeI6elSonB6qsLNZlNOrGsyJy+zodP34cPM+jT58+Vs9XVlbC29sbAHDu3DncddddVq/37t27wcYMYH32xWQyYciQIdi9ezeysrIwYsQI4bKKyWTCokWLsGnTJmRlZUGv16OysrLWz9apUyfhsVqthre3Nzp27Cg8FxAQAKD21Bw13+fv7w9XV1erjtD+/v74559/hO8vXryIefPm4fDhw7h69Sp4ngcAXL58ucHGTHVD02g0wmAwYPjw4Xj33XcbzAiAsP7qvMxmM9zd3bFr1y5hmebuo0WNGZmKiopYl6AolJc0lJd4jp6VucbZCjF4nrfJSK1St+vm5oaYmBjZ2xW2bzZDrVZjx44dtToRVzduq3/ZShETE4OioiLk5OQgMDAQJpMJ7u7ucHd3r3Un2NKlS7Fs2TLMmzcP8fHxcHV1xezZs2tdornxfRzHwcnJyer76p+pphuXqWs9Nd/zyCOPIDQ0FIsWLUJQUBDMZjMGDBjQaD+p6oamk5MTgoKCrLbbkHPnzgH49+yo2WyGSqWy6f9zY6gxI5M99sC3Z5SXNJSXeI6elZRLPUBVPw97HtVWq9XWmuNHq9XW+kXftWtXmEwm5Ofno1+/fnWuKy4urlb/lRu/v9HIkSMxd+5cfPzxx5g3b16DDb8///wTd955Jx566CEAVb/MU1NTmYxKXVBQgHPnzuGjjz4S8jh48KCo9zaloWk2m7FixQpERkaia9euANhMZ0CNGZni4uJYl6AolJc0lJd4lJU09tyQAYDw8HD8+eefuP/++6HT6eDr64vw8HCUlJRg9+7d6Ny5M1xcXBAbG4sHH3wQzz77LN566y107doVV69exd69exEfH4/bbrsNEyZMwB133IHFixdj+PDh2LlzZ6OXmMLCwvDWW29h1qxZuHbtGh555BFERkaisLAQGzZsAPBvAzo6OhpbtmzBX3/9BS8vL3zyySfIyclh0pjx8vKCj48PvvjiCwQGBuLSpUuYO3euzdZfUFCAnJwclJeXIykpCcuXL8c///yDb7/9VshD7BkdW6K7mWRKSkpiXYKiUF7SUF7iUVbS2Pvw/LNmzRI6lFZ3MO3bty/GjRuH8ePHo127dli8eDEAYMmSJXj44Yfx2muvoU+fPhgzZgyOHDmC0NBQAFX9Yz7++GOsWLECiYmJ2LlzJ1588cVGa5gwYQI2btyI/Px8jB07Fr169cLDDz+MjIwMfPfdd0L/k5deegkJCQl48MEHcc899yAgIKBWH52WolKp8Pnnn+PYsWMYMGAAXn31Vbz55ps2W/99992Hjh07YuDAgXjzzTfRvn177N27F4MGDRKWYXHbP8c35WKiwhiNRuzevRsJCQk2PxV95swZ0b3DCeUlFau8dki8ZAEAQ4YMYbodR9q3rl69Cl9fX1nrKC8vb9ZxP1obyku8pmRV3z5tMplw/PhxJCYmNjhqNZ2ZkcnLy4t1CYpCeUlDeYlHWUnj6H2MpKK8xGORFfPGzPz589G7d294eHggICAA9957L5KTkxt93+7du9GzZ084OzsjJiYGy5cvb4Fqa2vO4ZlbI8pLGspLPMpKGvrlLA3lJZ5DNmZ2796NSZMm4eDBg9i2bRuMRiOGDRsmTG5Vl4sXL2L48OEYNGgQjh49itmzZ2Pq1Km1ho9uCRkZGS2+TSWjvKShvMSjrKRhNZ2BUlFe4rHIivndTL/++qvV96tXr0ZAQACOHDlS78iDy5cvR0REBBYtWgQA6NixIw4fPoyFCxdi1KhRzV0yIYQQQuwI8zMzN7p+/TqAqsms6vPnn39i2LBhVs/dfvvtOHz4cIPzSBQXF6OoqEj4qqyslF1vzeGaSeMoL2koL/EcKStb3Leh1WptUInjoLzEa0pWcvdp5mdmauJ5Hi+88AIGDhyIzp0717tcdna21dwcABAYGAij0Yj8/Hxhfo4bde7c2WoCr3HjxmHKlCkIDg4WJiQLDAwEz/PIzc0FUDXnxKVLl1BeXg5nZ2eEh4fj/PnzAKqGnr527RoyMzMBAG3btkV2djZKS0uh0+kQFRUl9P/x8/ODVqvFlStXAFSNS5CXl4eSkhI4OTkhNjZWuLXUx8cHLi4uuHz5MgAgKioKBQUFKCoqglqtRlxcHJKSksDzPLy8vODh4SHUEBERgaKiIly7dg0cx6Fjx45ITk6GyWSCp6cnvL29kZ6eDqBqHIWysjJh9tj4+HicO3cORqMRHh4e8PPzE2ZaDQkJQWVlJa5evQoA6NChA1JTU6HX6+Hm5obAwECkpqYCAIKDg2E0GpGXlwcAaN++PTIyMlBRUQGTyYS4uDikpKQIeQNAjmVOmdjYWFy+fFnIOyIiQhhd0t/fHxqNBlmWIdtjYmKQk5OD0tJSaLVaxMTECHN/+Pr6QqfTWeWdn5+P4uJiaDQatG/fHmfOnBHydnV1FWZdrh5Lor68PT09hUsa4eHhKC4urjdvHx8fpKWlAQBCQ0NRXl4u5N2xY0ekpKTAYDDA3d0d/v7+Vnnr9XpcunQJzs7OiIuLQ1paGiorK+Hm5oagoCBhn60e4bPmPpuZmYmKigq4uLggLCzMap/lOE7Iu23btsjKykJZWRl0Oh0iIyNx7tw5aDQamM1m8DwvXP82Go1QqVRQqVTgeR4mk0m4u8BsNuP69et17rM35u3t7Q13d3dkZmZCo9HAZDKB4zir9arVamFU05o1mEwmZGVlobCwsNY+W73dmnlXVFTUuc+6u7sjICCgwX02PT1dGJJezmeESqVCdna2kLctPiPatGkDvV4vDCpXPcBcdZbOzs7CrddqtRpqtVo49V+9rMFggEqlgouLCyoqKoScb1zWbDYL+d64rEajEf4odHJyAs/zwrLOzs6orKwEz/NQqVRwcnJqcFm9Xi+MHHvjsgCEP1R1Oh0MBoOwrFarRUVFBYCqEXY5jqtzWY7joNPpGlzWaDTWmWH18XBjhlLyrv6/aihvuRmKXfbGDGsuKzdDg8EAo9EItVrd4LI1c6kejbquzwixjRy7ujV70qRJ+Pnnn7Fv3z6EhYXVu1z79u0xbtw4Ybp4ANi/fz8GDhyIrKwsBAUFWS1ffWt2TEyM1fwQOp0OOp1OVs2OdDuoLVBe0tCt2eK340j7ll6vR1FREXx8fJo85w3daiwN5SWelKzMZjMKCgrg6elZ5xkdsbdm282ZmSlTpmDz5s3Ys2dPgw0ZoOov0eq/dKrl5uZCo9E0OPaCh4eHzXtZsxi2WckoL2koL/EcKSutVgtPT08UFhY2eY6lkpISuLu7N0N1rRPlJZ7YrKr33foaMlIwb8zwPI8pU6Zg06ZN2LVrF6Kjoxt9T79+/bBlyxar537//Xf06tWrxYdRrjnjKWkc5SUN5SWeo2Wl1WplDZwnd9A9R0N5icciK+YdgCdNmoSvvvoK33zzDTw8PJCdnY3s7GyrobZnzZqFxx9/XPh+4sSJSE9PxwsvvICkpCSsWrUKK1euxIwZM1q8fjFj4pB/UV7SUF7iUVbSUF7SUF7isciKeWNm2bJluH79Om6++WYEBwcLX+vXrxeWycrKshpDIjo6Glu3bsWuXbvQrVs3vPXWW1i8eDGT27JvnNWVNIzykobyEo+ykobykobyEo9FVnZxmakxa9asqfVcYmIi/vnnn2aoSBoadVQayksayks8ykoayksayks8FlkxPzOjdA2Nh0Nqo7ykobzEo6ykobykobzEY5EVNWZkqh7TgohDeUlDeYlHWUlDeUlDeYnHIitqzBBCCCFE0agxI1NoaCjrEhSF8pKG8hKPspKG8pKG8hKPRVbUmJGp5i3kpHGUlzSUl3iUlTSUlzSUl3gssqLGjEzV8+wQcSgvaSgv8SgraSgvaSgv8VhkRY0ZQgghhCgaNWZkcrQh1OWivKShvMSjrKShvKShvMRjkRU1ZmRKSUlhXYKiUF7SUF7iUVbSUF7SUF7isciKGjMyGQwG1iUoCuUlDeUlHmUlDeUlDeUlHousqDEjE00JLw3lJQ3lJR5lJQ3lJQ3lJR6LrKgxI5O/vz/rEhSF8pKG8hKPspKG8pKG8hKPRVbUmJHp4sWLrEtQFMpLGspLPMpKGspLGspLPBZZUWOGEEIIIYpGjRmZQkJCWJegKJSXNJSXeJSVNJSXNJSXeCyyosaMTHq9nnUJikJ5SUN5iUdZSUN5SUN5icciK2rMyJSfn8+6BEWhvKShvMSjrKShvKShvMRjkRU1ZgghhBCiaNSYkSkuLo51CYpCeUlDeYlHWUlDeUlDeYnHIitqzMiUlpbGugRFobykobzEo6ykobykobzEY5EVNWZkqqysZF2ColBe0lBe4lFW0lBe0lBe4rHIihozMrm5ubEuQVEoL2koL/EoK2koL2koL/FYZEWNGZmCgoJYl6AolJc0lJd4lJU0lJc0lJd4LLKixoxMFy5cYF2ColBe0lBe4lFW0lBe0lBe4rHIihozhBBCCFE0aszIRKcepaG8pKG8xKOspKG8pKG8xKPLTApkNptZl6AolJc0lJd4lJU0lJc0lJd4LLKixoxMubm5rEtQFMpLGspLPMpKGspLGspLPBZZUWOGEEIIIYpGjRmZ2rVrx7oERaG8pKG8xKOspKG8pKG8xGORlabFt9jKZGZmIiYmhnUZikF5SUN51bZjx446n1er1TCZTHW+NmTIkOYsSZFo35KG8hKPRVZ0ZkamiooK1iUoCuUlDeUlHsdxrEtQFNq3pKG8xGORFTVmZHJxcWFdgqJQXtJQXuLxPM+6BEWhfUsayks8FllRY0amsLAw1iUoCuUlDeUlXn2XmEjdaN+ShvISj0VW1JiR6fz586xLUBTKSxrKSzyNhroASkH7ljSUl3gssqLGDCGEEEIUjRozMgUEBLAuQVEoL2koL/HoMpM0tG9JQ3mJxyIraszIRHdQSEN5SUN5keZC+5Y0lJd4LLKixoxMOTk5rEtQFMpLGspLPLVazboERaF9SxrKSzwWWVFjhhBCCCGKRo0Zmdq2bcu6BEWhvKShvMQzGo2sS1AU2rekobzEY5EVNWZkysrKYl2ColBe0lBe4tFlJmlo35KG8hKPRVbUmJGprKyMdQmKQnlJQ3mJRx00paF9SxrKSzwWWVFjRiadTse6BEWhvKShvMSj6QykoX1LGspLPBZZUWNGpsjISNYlKArlJQ3lJR6NMyMN7VvSUF7isciKGjMynTt3jnUJikJ5SUN5iUfTGUhD+5Y0lJd4LLKixgwhhBBCFI0aMzL5+/uzLkFRKC9pKC/xzGYz6xIUhfYtaSgv8VhkRY0ZmejUtjSUlzSUl3jUAVga2rekobzEY5EVNWZkorEHpKG8pLHXvFQGA7TFxYAdNSBonBlp7HXfsleUl3gssqKmJiFEHJ6HT3IyInfvRtiBA9CWlqIwJgZnHnoI2T17sq6OEOLAqDEjU0xMDOsSFIXyksYe8lIZDGi3ZQuiduyAe3a21WveqakYsGABCmNi4PTOOzAMGwYwGryOpjOQxh72LSWhvMRjkRVdZpIpNzeXdQmKQnlJwzwvnkev//s/dP7mG6uGjFGnQ3FIiPC9d2oq3B95BB7Dh4MrLGRRKVQq+jiTgvm+pTCUl3gssqIzMzKVlJSwLkFRKC9pWOfVbvNmhB84AADgOQ55nTsjPTERl/v2hcnZGSGHDqHjhg3wSksDAGj++guuzz6L0m++AVq4caFSqeiOJglY71tKQ3mJxyIraszIpNVqWZegKJSXNCzzCjhxAl2+/lr4/uBLL+FKnz5Wy1zp0wdXevdG8KFDuOnzz6EqKID2999h+vhjVEyf3qL10t1M0tCxKA3lJR6LrOi8rEx0HVUayksaVnm55uaiz0cfgbOc6Uh64IFaDRkBxyGrTx+UfvopeEt/Ged33oFm796WKhcATWcgFR2L0lBe4lGfGQU6e/Ys6xIUhfKShkle5eW46f33oSsuBgBk9eiBMw891OjbjEOHouKllwAAnNkMt6eeAteCt2jSOCDS0LEoDeUlHousqDFDCLHiOmMGvC9eBACUBAXh0LRpovu/VLz0Egy33AIAUOXlwe2ppwCDodlqJYQQgBozsvn6+rIuQVEoL2laOi/1oUPQrVsHADA6O+PPmTNhcHOTsAI1Sj/9FGbLnU5Of/4J5wULmqPUWqjzrzR0LEpDeYnHIitqzMjk7OzMugRFobykaem8nBcvFh6fePxxFEVESF4H7+eHklWrwFsu+zgvXQru8mWb1VjvdqkDsCR0LEpDeYnHIitqzMh0uQU+pFsTykualsxLlZwM7c8/AwDKfHyQbrlc1BSmPn1QOWkSAIDT660aSc2FpjOQho5FaSgv8VhkRY0ZQggA67MyKSNGwOzkJGt9FZMng7dcotKtXduinYEJIY6FGjMyRUVFsS5BUSgvaVoqL+7SJWi/+w4AYPbywsVbb5W9Tt7XF5VPPlm1/spKOH/8sex1NoSmM5CGjkVpKC/xWGRFjRmZCgoKWJegKJSXNC2Vl/Mnn4CzNAYqn3oKRhcXm6y3YvJk8K6uACxnZ26Y28mWaDoDaehYlIbyEo9FVnT0y1RUVMS6BEWhvKRpiby4ggLo1q4FAPAuLqicMMFm6+b9/VE5blzVdioqmrXvDDVmpKFjURrKSzwWWdEoUzLRQF3SUF7S2CKvHTt2NPh6xw0b4FVWBgC4cPPNOH7ihOxt1lQxZQp0q1aBKy+Hbs0aVEybBj4w0KbbAOhuJqnoWJSG8hKPRVb0p4xM7du3Z12ColBe0jR3XuqKCrTduhUAYFapcP6ee2y+DT4gAJVPPAHAcnZmyRKbbwOg6QykomNRGspLPBZZUWNGpjNnzrAuQVEoL2maO6+o7duhs8xwmzlwIMr8/ZtlOxVTp4K3jD2hW7UKXF6ezbdBfzlLQ8eiNJSXeCyyYt6Y2bNnD0aMGIGQkBBwHIcff/yxweV37doFjuNqfdG8GYRIF7Vzp/D43L33Ntt2+MBAVI4dCwBVl5tWr262bRFCHA/zxkxpaSkSEhKwROKp5+TkZGRlZQlf7dq1a6YKG+bt7c1ku0pFeUnTnHm5X74Mr7Q0AMDVdu2aNNqvFBWTJgmzamvXrQNsPP0ATWcgDR2L0lBe4rHIivl52TvvvBN33nmn5PcFBATAy8vL9gVJ5O7uzroERaG8pGnOvMIOHBAeX+7fv9m2U40PC4Px5pvhtHMn1Onp0NTYvk3WTx2AJaFjURrKSzwWWTE/M9NU3bt3R3BwMIYOHYqdNU6Vt7TMzExm21Yiykua5swrfP9+4fGlfv2abTs1VY4ZIzzWfv21TddN0xlIQ8eiNJSXeCyyUlxjJjg4GCtWrMDGjRvxww8/IC4uDkOHDsWePXsafW9xcTGKioqEr8rKyhaomBD745GZCc9LlwAA+R06oNzPr0W2axg+HOY2bQAA2s2bobHcEk4IIXIwv8wkVVxcHOLi4oTv+/Xrh8zMTCxcuBCDBw9u8L2dO3dGWY0Pz3HjxmHKlCkIDg7GhQsXAACBgYHgeR65ubkAgHbt2uHSpUsoLy+Hs7MzwsPDcf78eQBVl7ratGkj9Nxu27YtsrOzUVpaCp1Oh6ioKCQnJwMA/Pz8oNVqceXKFQBAdHQ08vLyUFJSAicnJ8TGxiIpKQkA4OPjAxcXF2GyrqioKBQUFKCoqAhqtRpxcXFISkoCz/Pw8vKCh4eH0BKOiIhAUVERrl27Bo7j0LFjRyQnJ8NkMsHT0xPe3t5IT08HAISFhaGsrEwYrTE+Ph7nzp2D0WiEh4cH/Pz8cPHiRQBASEgIKisrcfXqVQBAhw4dkJqaCr1eDzc3NwQGBiI1NRVAVYPTaDQiz3LHSvv27ZGRkYGKigpoNBro9XqkpKQIeQNATk4OACA2NhaXL18W8o6IiMC5c+cAAP7+/tBoNMiyzPETExODnJwclJaWQqvVIiYmRugI7uvrC51OZ5V3fn4+iouLodFo0L59e+H/zcfHB66urrhk+eUeGRmJwsLCevP29PRERkYGACA8PBzFxcX15u3j44M0S7+U0NBQlJeXC3l37NgRKSkpMBgMcHd3h7+/v1Xeer0eRqMRZ86cQVxcHNLS0lBZWQk3NzcEBQUJ+2xQUBDMZrPVPpuZmYmKigq4WEbyrb7Tp/r25cg//xSOgysDB0Kj0YDneZhMJmFZs9kMnueFMx5GoxEqlQoqlarOZa9fv17nPntj3h2HD4fPunXgyssRefAgUocOBcdxVutVq9XgOK5WDSaTSVi2uqbqZasvM9X8WauXPXPmjNU+6+7ujoCAgAb32fT0dFRWVsLV1VXWZ4RKpUK2ZeRje/qMMBqNSEpKsrvPCBcXF4SGhtrdZ4Svr6/wvT19RuTn5wOArM+IsLAwq32W4zgh77Zt2yIrKwtlZWXQ6XSIjIxsMO/c3FwYjUakpKTUytvZ2VnUZ4S3tzfc3d2RmZkp+vIxx9vRhWaO47Bp0ybcK/GuinfeeQdfffWVcKDfyGg0Yvfu3YiJibEaJVSn00Gn08kpGZcvX0ZoaKisdTgSyksaW+RVa9A8nsewadPgceUKeI7D1hUrUGGDDntDhgwRtZz62DF4Wpa92r49ds2bJ3vbQNUIwPV1AhZbmyOhY1Eayks8W2ZlMplw/PhxJCYmNjj8guIuM9Xl6NGjCA4ObnQ5Dw8PeHp6Cl9yGzIAcP36ddnrcCSUlzTNkVebtDR4WP4aze/Y0SYNGSlMCQkwduoEAPA9dw4eljNictF0BtLQsSgN5SUei6yYH/0lJSU4duwYjh07BgC4ePEijh07JpyimzVrFh5//HFh+UWLFuHHH3/E+fPncfr0acyaNQsbN27E5MmTWZRPH6ASUV7SNEdeNe9iujRggM3X3yiOg75GR+BIG3Xgt6OTzIpAx6I0lJd4LLJi/r9z+PBhdO/eHd27dwcAvPDCC+jevTtef/11AEBWVpbQsAEAvV6PGTNmoGvXrhg0aBD27duHn3/+Gffffz+T+jt06MBku0pFeUlj87x4XmjM8CoVLt90k23XL5L+wQfBOzkBACJ37xZm7JaDpjOQho5FaSgv8Vhkxbwxc/PNN4Pn+Vpfa9asAQCsWbMGu3btEpafOXMmUlJShE5Se/fuxfDhw9kUD9DIwxJRXtLYOi+vCxfgbunYl9u5Myotdxa1NN7XF4Y77gAAOF+7hiDLmVk56NZsaehYlIbyEo9FVswbM0pHo45KQ3lJY+u8wmteYmqhsWXqU3PMmchGZvYWg7OMLkzEoWNRGspLPBZZUWNGpjaM/rJVKspLGpvmxfMItTRmzGo1rjC6xFTNOGQIyi2dj4OPHIFTaams9dEvG2noWJSG8hKPRVbUmJGJdnBpKC9pbJmX14ULcLOMSZHbpQv0Hh42W3eTaDS4ZJlGQWUyIfjwYVmrow7A0tCxKA3lJR41ZhSoZudk0jjKSxpb5hV4/Ljw+EqfPjZbrxw1OyCHHjwoa13UZ0YaOhalobzEY5EVNWYIcRA1GzM5CQkMK/nX1fbtUWGZMDbw+HGoy8vZFkQIUSRqzMgUHh7OugRFobyksVVemvJy+FqGzS8ODkaZZYh45tRq4SyRWq9H0NGjTV4V3ZotDR2L0lBe4rHIihozMpWUlLAuQVEoL2lslZf/6dNQWX7Z59rJWZlqVpea/vqryeuhu5mkoWNRGspLPBZZUWNGpsLCQtYlKArlJY2t8gqww0tM1fLi46F3dwcABB05ApVe36T10Ait0tCxKA3lJR6LrOjoJ8QBVPeXMavVyLPMi2QveI0GV3r3BgA4VVQg4MQJxhURQpSGGjMyxcfHsy5BUSgvaWyRl2tenjCxZEG7djC6uspep61d6dtXeNzUS01GG0yJ4EjoWJSG8hKPRVbUmJHp3LlzrEtQFMpLGlvkZc+XmKrldO0Kg7MzACDk0KEmzdVEt2ZLQ8eiNJSXeCyyosaMTPTXoDSUlzS2yMseb8m+kVmrRXaPHgAAbUkJ/M+ckbwO6gAsDR2L0lBe4rHIihozMnl6erIuQVEoL2lk52UyIeDkSQCA3s0NhW3b2qCq5iF3AD2azkAaOhalobzEY5EVNWZk8vHxYV2ColBe0sjNS33sGLSW2yRzu3QB7PhSTHb37jBptQCAkL//BiSOG0ONGWnoWJSG8hKPRVbUmJEpLS2NdQmKQnlJIzcvp507hcf2eompmsnFRajR+do1+Eq87q7RaJqjrFaLjkVpKC/xWGRFjRlCWjFNjcaMvQ2WV5eal5pC/v6bYSWEECWhxoxMoaGhrEtQFMpLGll5FRdDc+hQ1cOQEJQFBNioquaT1aMHeMvgd0H//CPpvTSdgTR0LEpDeYnHIitqzMhUUVHBugRFobykkZOX0/79wi3OuV272qqkZmXw8MDV9u0BAJ6XL8MtJ0f0e+luJmnoWJSG8hKPRVbUmJHp6tWrrEtQFMpLGjl5aRTUX6am7O7dhceBEs7O0HQG0tCxKA3lJR6LrJp89OubOH8KIaRlOO3ZAwAwq1R2N4VBQ7J79hQey5lFmxDiOJrcmAkNDcWsWbOQkZFhy3oUp0OHDqxLUBTKS5qm5sUVFECdnAwAuBYTY5dTGNTnemQkyi23dgacOgVVZaWo99GgZtLQsSgN5SUei6yafC/jiBEjsHjxYixcuBB33303Jk+ejKFDh9qyNkVITU1FbGws6zIUg/L6144dOxpdRq1WW3VsHTJkiKh1a2rMb5TfsaP04ljiOGR3747o7duh1uvhf/o0ciyjAzfkxqxIw+hYlIbyEo9FVk0+M7Nq1SpcunQJ77zzDo4fP45hw4ahY8eOWLJkCYqLi21Zo12jy23SUF7SNLVTq+bPP4XHV5XWmAGEqQ0A8ZeaqAOwNHQsSkN5icciK1k95ry9vTFz5kxcuHABmzZtQnh4OKZNm4bQ0FBMnjwZZ8+etVWddsvd3Z11CYpCeUnT1FFtNTWmA8iPi7NVOS0mt0sXmC2D4AUfOQLwfKPvoRGApaFjURrKSzwWWdmk+z/Hcbjnnnvw7rvvIjExESUlJfjkk0/QqVMnjBo1Crm5ubbYjF0KUMDYHfaE8pKmSb+gy8qgtkwuaWrXDvo2bWxcVfMzuroi33Ld3S03Fx5XrjT6HmrMSEPHojSUl3gsspLdmDEajVi3bh0GDhyIXr16ITU1Fe+++y7S0tKwaNEi7N27F48//rgtarVLqamprEtQFMpLmqYM0a/55x9wBgMAwFhjRF2lsbrUJOIWbZrOQBo6FqWhvMRjkVWTGzOXL1/G66+/jvDwcIwZMwZqtRobNmxAamoqXnrpJURERGDKlClYvnw59lhuESWENL+al5gcqTFDCHFcTf5TJioqChqNBqNHj8a0adPQrVu3OpeLiYlBYGBgUzdj94KDg1mXoCiUlzRNuTvHqjHTrx+g0L8oi0NDURoQALfcXPglJUFTXg6ji0u9y9OdTNLQsSgN5SUei6yafGZmzpw5yMjIwOrVq+ttyABAt27dcPHixaZuxu7R2BbSUF7SSL5Dx2SCxjJBozkoCObIyGaoqoVwnHB2RmU0IuDkyUYWp7uZpKBjURrKSzwWWTW5MRMREVHv8OEFBQVYu3Ztk4tSkry8PNYlKArlJY3UIfrVp0+DKykBABj79gUU/gve6lLTkSMNLkvTGUhDx6I0lJd4LLJq8tE/btw4XLhwoc7XLl68iHHjxjW5KEJI09S6xKRweZ06waTVArCMNyPiFm1CiONpcmOGb+BDpaKiAmq1uqmrVpT2lhl+iTiUlzRST9fWHCxPyZ1/q5l0OmFeKZeCAnimp9e7LF0GkIaORWkoL/FYZCWpA3BGRgbS0tKE748ePVprqu/y8nKsWLECERERNinQ3qWnp6Nt27asy1AMyksaSUP087wwjQHv7g6TgiaXbEhOt27CKMCBJ06gKCqqzuVoOgNp6FiUhvISj0VWkhozq1evxptvvgmO48BxHJ577rlay1Sfsfn4449tU6GdqxQ5CR6pQnlJI6VTqyo9HarsbACAsU8foJWcHc1JSBAeB5w4gfP33FPnctQBWBo6FqWhvMRjkZWkxsxDDz2Ezp07g+d5PPTQQ5g3bx7atWtntYxOp0Pnzp0RVc9fT62Nq4JmI7YHlJc0DV3OvVFru8RUrTg0FGU+PnAtKID/mTNQ6fUwW/rR1CQlK0LHolSUl3gsspLUmOnYsSM6WiatW716Ne6++274+vo2S2FKQWMPSEN5SSPlsklrGSyvFo5DbkIConbuhFqvh+/Zs8jr2rXWYnSJSRo6FqWhvMRT1DgzY8eOdfiGDIB67+gidaO8pJEyRH91Y4Z3coKxxi3NrUHNS02BlnmnbkTTGUhDx6I0lJd4LLKSdPTPnTsXTz31FEJCQjB37twGl+U4Dq+99pqs4ggh4nD5+VCfPw8AMCUkAK3slHhuly7C48Djx3HqsccYVkMIsTeSGjNvvPEG7rjjDoSEhOCNN95ocFlHacy05qkamgPlJY3YSyfVo/4CrewSk4W+TRsUxsTAOzUVXmlp0F2/jsobZgOny0zS0LEoDeUlHousJF1mMpvN6NOnj/C4oS9H+WChTofSUF7NQ334sPDYaDlGW5vcGv1kAk6cYFhJ60DHojSUl3gssqLxv2XKzc1lXYKiUF7SiB18UlNjqH9jz57NVQ5TVrdo19FvxlEG6rQVOhalobzEY5FVkxszFRUVKCoqsnpuw4YNeOWVV/DHH3/ILowQIpLJBI1lUDlzSAj4VnrXxdUOHWC03JIdeOIETW1ACBE0uTHz2GOPYerUqcL3ixcvxujRo/Hee+/h9ttvx9atW21SoL27cZwd0jDKSxoxQ/SrkpP/nVyylZ6VAQCzkxPy4+MBVE1t4HHpktXrNJ2BNHQsSkN5icciqyY3Zv7++2/ccccdwveLFy/Gf/7zH1y7dg33338/Fi5caJMC7d2lGz5QScMoL2nEXDrR1Owv04obM8ANt2gfO2b1Gl1mkoaORWkoL/FYZNXkxkxeXh5CQ0MBVM2SnZqaiilTpsDT0xPjx4/HqVOnbFakPSsvL2ddgqJQXtKIGaK/Zn8ZU69ezVkOczndugmPA2/oBEzTGUhDx6I0lJd4LLJqcmPG1dUV169fBwDs3bsX7u7u6GX5IHV2dkaJ5bR3a+fs7My6BEWhvKQRc1eA2tKY4dVqGGucuWiNisPCUO7jAwDwO30aKoNBeI3uNpGGjkVpKC/xWGTV5MZMly5dsHTpUpw8eRKffPIJbrnlFuEvo4yMDAQFBdmsSHsWHh7OugRFobykaXSIg5ISqM+erVq2Y0fAza0FqmKI45BjuUVbo9fDNzlZeMlRhoOwFToWpaG8xGORVZMbM6+99hp2796Nbt264fjx45g5c6bw2s8//4werWw49fqct4y6SsShvKRpbIh+zbFj4MxmAICplfeXqZZbT78Zms5AGjoWpaG8xGORVZOP/iFDhiApKQlHjhxBt27dEBMTY/VatxrXtgkhzUPtAOPL3Kjm4Hn+J08yrIQQYi9k/SkTGRmJyMjIWs8/88wzclarKAEBAaxLUBTKS5rGLp04wmB5N6ps0wbXIiPhlZ4O79RUOBUXw+DhQZeZJKJjURrKSzwWWck+L5ubm4v09PQ6ey8PHjxY7urtnkpFgyhLQXnZVnVjhvfwgDkujnE1LSe3a1d4paeD43n4nz6NK61wPqrmRseiNJSXeCyyanJjJisrC4899hh27txZ6zWe58FxnEP8pZSdnQ0fy90VpHGUlzRqtbreweC4y5ehysoCABh79AAc6MM2r0sXtN+yBQAQcPIkrtx0U4NZkdroWJSG8hKPRVZNbsxMnjwZR48exbvvvouuXbtCp9PZsi5CSCMc8RJTtbyOHWFWq6EymWjSSUJI0xszu3fvxsKFCzFu3Dhb1qM4bdu2ZV2ColBe0jR0psFqsDwHa8yYXFxwtX17+CclwSMrCy55eSj392ddlqLQsSgN5SUei6yafF6a4zi67x5Vp9OIeJSXNA0N0e+IdzLVVPOupoCTJ2k6A4noWJSG8hKPRVZNbsw8+OCD+Omnn2xZiyKVlpayLkFRKC9p6h2i32iExjLGiik8HLwD3mmR16WL8DjgxAmazkAiOhalobzEY5FVky8zPfTQQ3j66adhNpsxYsQI+Pr61lrGEQbOo75C0lBe0tQ3RL/67FlwZWUAHO8SU7WC2FgYnJ3hVFGBgFOnwFsGDyTi0LEoDeUlHousZA2aBwBLlizB0qVLrV5zpLuZoqKiWJegKJSXNPUdQ2o7nCl7x44dLbo9XqNBfqdOCD5yBM7XrsEtLQ1FEREtWoOS0bEoDeUlHousmtyYWb16tS3rUKzk5GTEx8ezLkMxKC9pNBpNnZ2AHflOpppyu3RBsCWLoFOnqDEjAR2L0lBe4rHIqsmNmbFjx9qyDkKIBMJgeRoNTK18puyGWE1tcOIEzg0fzrAaQggrNhllKzk5Gfv373fIDlJ+fn6sS1AUyksac139QEpKoLLMFm2KjwdcXFq4KvtRFB6OCi8vAIDvqVPgaNA80ehYlIbyEo9FVrIaM2vXrkVYWBji4+MxePBgJFs+YB966CF89tlnNinQ3mm1WtYlKArlJU1dHYA1J06Aszxv6t69pUuyLxyH3M6dAQBOFRXwSUlhXJBy0LEoDeUlHousmtyY+e677/DEE0+gR48eWLJkidWHbo8ePbBhwwabFGjvrly5wroERaG8pKlr7BT10aPCY6OjN2Zww3gzNBqwaHQsSkN5icciqyY3ZubPn49x48Zh8+bNmDBhgtVrHTt2xJkzZ2QXRwipTVOjMePwZ2ZQ1Qm4mv/JkwwrIYSw0uTGTFJSEkaPHl3naz4+Prh69WqTi1KS6Oho1iUoCuUlTV13Mqktg+Xxzs4wdejQwhXZn3J/fxSHhAAAfM+dg7q8nHFFykDHojSUl3gssmpyY8bV1RXXr1+v87XLly/D29u7yUUpSV5eHusSFIXykkZ1w0zY3LVrUKemAgBMnTsDTk4syrI71WdnVCYT/JOSGFejDHQsSkN5icciqyY3ZgYMGFCrr0y1NWvW4Oabb5ZTl2KUlJSwLkFRKC9pbmzMVJ+VAQCjA4ywLRZdapKOjkVpKC/xWGTV5HFmXn/9dQwcOBB9+vTBo48+Co7j8MMPP2DOnDnYs2cP/v77b1vWabec6C9jSSgvaW78Y8Gqv0y3bi1cjf3K69wZPMeB43nqBCwSHYvSUF7isciqyWdmevXqhV9++QUlJSV48cUXwfM85s2bh3PnzmHr1q3obLldsrWLjY1lXYKiUF7S3DidAd3JVDeDuzsKY2IAAF7p6dDVcwmc/IuORWkoL/FYZCVrnJlbbrkFSUlJOH/+PPbt24ezZ88iOTlZ0iWmPXv2YMSIEQgJCQHHcfjxxx8bfc/u3bvRs2dPODs7IyYmBsuXL2/6DyFTEl2fl4TykkajsT55Wn1mhnd3h5k+XK3k1zhTRZeaGkfHojSUl3gssmpSYyYvLw9vv/02hg0bhs6dO2PkyJF44403sHHjRsl3MZWWliIhIQFLliwRtfzFixcxfPhwDBo0CEePHsXs2bMxdepUbNy4sSk/CiGKobt2DarLlwEAxoQEoI4xaBxZfs3xZqgxQ4hDkdxnZvv27Rg1ahSKioqgVqvh5+cHnueRnJyMP/74AwsXLsSmTZswePBgUeu78847ceedd4re/vLlyxEREYFFixYBqBrT5vDhw1i4cCFGjRol9ceRzcfHp8W3qWSUlzQ1pzPwvnBBeEzjy9SW1749TE5OUBsMVf1meB7gONZl2S06FqWhvMRjkZWkMzN5eXl4+OGH0aZNG2zYsAHXr19HVlYWsrOzcf36dXz77bdwc3PDAw880GzjzPz5558YNmyY1XO33347Dh8+DIPB0OB7i4uLUVRUJHxVVlbKrsfFgefFaQrKS5qaHYBrNmaM1Pm3FpNWi6uWcXfc8vLglpPDuCL7RseiNJSXeCyyknRmZuXKlTCZTNi/fz/CwsKsXnN1dcVDDz2Em266CQkJCVi5ciVmzpxp02IBIDs7G4GBgVbPBQYGwmg0Ij8/H8HBwfW+t3PnzigrKxO+HzduHKZMmYLg4GBcsPyiCAwMBM/zyM3NBQC0a9cOly5dQnl5OZydnREeHo7z588DAAICAnDp0iVhHoq2bdsiOzsbpaWl0Ol0iIqKEuar8vPzg1arFYZ5jo6ORl5eHkpKSuDk5ITY2FjhOqOPjw9cXFxw2XJJISoqCgUFBcLZsLi4OCQlJYHneXh5ecHDwwOZmZkAgIiICBQVFeHatWvgOA4dO3ZEcnIyTCYTPD094e3tjfT0dABAWFgYysrKUFBQAACIj4/HuXPnYDQa4eHhAT8/P1y8eBEAEBISgsrKSqGR2qFDB6SmpkKv18PNzQ2BgYFItYx/EhwcDKPRKIw10L59e2RkZKCiogJlZWXo2rUrUixz6FT/X+ZYfvHExsbi8uXLQt4RERE4d+4cAMDf3x8ajQZZWVkAgJiYGOTk5KC0tBRarRYxMTE4e/YsAMDX1xc6nc4q7/z8fBQXF0Oj0aB9+/bCKNU+Pj5wdXXFpUuXAACRkZEoLCysN29PT09kZGQAAMLDw1FcXFxv3j4+PkhLSwMAhIaGory8XMgbqJqugOM4mM1mmM1moY+MyWQCx3FQq9XgeR5GoxE+NRoz5Z0745yl/qCgIJjNZqt9NjMzExUVFcKHSs31Vm8XqBqUr7oGnudhMpmEZc1mM3iet1pWpVJBpVLZdNnqn7XmsjVzqW/ZG+sHqm7Rrr7EFHjyJNJCQqBSqXDmzBmrfdbd3R0BAQEN7rPp6emorKyEq6urrM8IlUqF7OxsAPb1GZGZmQlPT0+7+4xwcXFBaGio3X1G5OTkCHfptNRnRMeOHZGSkgKDwQB3d3f4+/tb5a3X65Gfnw8AiIuLQ1paGiorK+Hm5oagoCBhn23sMyIsLMxqn+U4Tsi7bdu2yMrKQllZGXQ6HSIjIxvMOzc3F1lZWfD19a2Vt7Ozc5377I15e3t7w93dHZmZmXUO/1IXjhe7JIAhQ4age/fu+OCDDxpc7oUXXsCxY8ewY8cOsauuKobjsGnTJtx77731LtO+fXuMGzcOs2bNEp7bv38/Bg4ciKysLAQFBdV6j9FoxO7duxETE2M1bodOp4NOp5NU443OnDmD+Ph4WetwJJTXv8QcHxqNpmoUYJ7HXU8/Dedr12D29sb1lBTRl1CkHodKpdFo4HH2LIa88goA4NJNN+GvGTMAVH12EWt0LEpDeYlny6xMJhOOHz+OxMTEWjdE1CTpMlNSUhIGDhzY6HKDBg1qtt7MQUFBwl851XJzc6HRaODr69vgez08PODp6Sl8yW3IAFWtSyIe5SVN9XQGLlevwvnaNQCW8WWoL0gtRqMRhdHR0Lu5AQD8T50CavQ5ItboWJSG8hKPRVaSGjPXrl1DQEBAo8sFBATgmuWD19b69euHbdu2WT33+++/o1evXkwG6ql5yYA0jvKSpvpMolV/Ger8WyeVSgWo1cjr1AkAoCspgZfl9D2pjY5FaSgv8VhkJakxU1lZKarBoNFooNfrRa2zpKQEx44dwzHLMO0XL17EsWPHhOuNs2bNwuOPPy4sP3HiRKSnp+OFF15AUlISVq1ahZUrV2KG5XRySysqKmKyXaWivKQRGjOW/gMA3clUn+qscmveok2jAdeLjkVpKC/xWGQl+dbs5OTkBq9bARA6/Ihx+PBh3HLLLcL3L7zwAgBg7NixWLNmDbKysoSGDVDVSWvr1q2YPn06li5dipCQECxevJjJbdnAvx0piTiUlzTVXdroTqbGVWeVe8N4M+ca6IPnyOhYlIbyEo9FVpIbM0888USjy/A8L9xd0Jibb765wd7Ka9asqfVcYmIi/vnnH1Hrb25xcXGsS1AUyksak8kE8Dy8LXeBmAMDwYeEMK7KPlXfqVUSHIwyX1+4Xr0K36QkqESeJXY0dCxKQ3mJxyIrSY2Z1atXN1cdipWUlISOHTuyLkMxKC9pNBoNdJcuQWuZhdZInX/rJdz5xXHI7doVUTt3QqPXw/fcOeCOO1iXZ3foWJSG8hKPRVaSGjNjx45trjoUS8Kd7QSUV1NQfxnpcrt0QdTOnQBonqb60LEoDeUlHousZE00SQAvLy/WJSgK5SWN2WymO5lEqjn1Q26XLsLjwOPHWZRj9+hYlIbyEo9FVtSYkcnDw4N1CYpCeUnD87z1nEzU+bdeNf8arPT2xvXwcACAd2oquGYaKkLJ6FiUhvISj0VW1JiRqXqIcCIO5SWNmuPgZen8W+rnB97fn3FF9uvGOyhyExIAAJzZDM2ePSxKsmt0LEpDeYnHIitqzBBix9wvX4ZTRQUA4FrbtoyrUZacGrdoO+3axa4QQkizo8aMTBEREaxLUBTKSxpPy4RuAFBIjZkGVd+aXS0/Ph4my5hYGktnYPIvOhalobzEY5EVNWZkolEhpaG8pKkeXwYACmNjGVZi/24c28rk7IyrlvEu1OnpUFlmGyZV6FiUhvISj0VW1JiRqbnmoGqtKC9panb+LYyJYViJ/auezqCm6n4zAKChS01W6FiUhvISj0VW1JiRSexIx6QK5SUeZzKhjeXMTElQEAzu7owrUh6rfjN0qckKHYvSUF7isciKGjMy0YiQ0lBe4nlcugSNZSh+OivTOKPRWOu5a9HRqLQ0AjV79wJ1LOOo6FiUhvISj0VW1JiRKTk5mXUJikJ5iVdz5F/q/Nu4Oie3U6uRZxlAT3X9OtRHj7ZwVfaLjkVpKC/xWGRFjRmZbryDgjSM8hLPqvMvNWYaVd+p7Zwa/WboFu1/0bEoDeUlHousqDEjk6enJ+sSFIXyEq+68y/PcbhGl5kaVXM6g5qoE3Dd6FiUhvISj0VW1JiRydvbm3UJikJ5icMZDGiTlgYAKA4JgdHVlW1BClDf5HZl/v4wWc5saQ4dAoqLW7Isu0XHojSUl3gssqLGjEzp6emsS1AUykucNpmZUFs6q9IlJnHq7DNjYbj5ZgAAZzTCaf/+FqrIvtGxKA3lJR6LrKgxQ4gdqjm+DE1jIJ/xlluEx3SpiZDWhxozMoWFhbEuQVEoL3HoTibpGup0aBg4ELzlzA2NN1OFjkVpKC/xWGRFjRmZysrKWJegKJSXOELnX5UK16Ki2BajEA0O1OXpCVPPngAA9fnz4C5fbqGq7Bcdi9JQXuKxyIoaMzIVFBSwLkFRKK/GqSor4ZmZCQAoCg+HydmZcUXKUNd0BjUZalxqctqxo7nLsXt0LEpDeYnHIitqzBBiZ9qkp0NluWRyjSaXtBnDkCHCY6ft2xlWQgixNWrMyBQfH8+6BEWhvBpXs/NvQXQ0w0qUpa7pDGoy9egBs+WWUc2uXQ4/tQEdi9JQXuKxyIoaMzKdO3eOdQmKQnk1rmZj5nq7dgwrUZaGbs22LCDc1aQqKoL68OEWqMp+0bEoDeUlHousqDEjU2N/DRJrlFfjqhszZrUaxXRmRjQxM/Uahg4VHjv6pSY6FqWhvMRjkRU1ZmTy8PBgXYKiUF4NU5eXw9Nyp831iAgYNRrGFSlHfdMZ1ET9Zv5Fx6I0lJd4LLKixoxMfn5+rEtQFMqrYd4XL4Kz/FIujI0V9QuaVBGTFR8YCGPXrgAAzbFj4HJzm7ssu0XHojSUl3gssqLGjEwXL15kXYKiUF4N8z5/XnhcGBsLDZ2ZEU1sVlaXmhx4AD06FqWhvMRjkRU1ZgixIz41Rv4toNuym4WxRmNG4+CXmghpLagxI1NISAjrEhSF8mpY9TQGRmdnFIWFNThEP7EmNitj797gLdf0nXbsABw0YzoWpaG8xGORFTVmZKqsrGRdgqJQXvXTXb8Ot7w8AEBhTAygVou6Q4dUEZ2VkxMMiYkAAFVBAdTHjjVfUXaMjkVpKC/xWGRFjRmZrl69yroERaG86mc1uaTlElNjQ/STf0nJyqrfzB9/NEc5do+ORWkoL/FYZEWflITYCW/qL9NiaLwZQloXaszI1KFDB9YlKArlVT+fG+5kAmigLimkZMWHhcFk2RfV//wDzgEnEaRjURrKSzwWWVFjRqbU1FTWJSgK5VUPnhfOzFR4eqLM3x+AiCH6iUBqVtVnZzizGRoHvEWbjkVpKC/xWGRFjRmZ9Ho96xIUhfKqm1tuLnQlJQAsZ2UsnVmpA7B4UrMy3Hqr8Nhpxw5bl2P36FiUhvISj0VW1JiRyc3NjXUJikJ51e3GwfKq8TzPohxFkpqV8aabwLu6ArB0Anaw0ZbpWJSG8hKPRVbUmJEpMDCQdQmKQnnVrb7B8micGfEkZ6XT/XuLdl4e1P/80wxV2S86FqWhvMRjkRU1ZmSi66jSUF51q+u2bED8EP2kaVkZbr9deOz022+2LMfu0bEoDeUlHvWZIcQBcSYTvCwHf0lgIPSenowrchyGYcOEx06//sqwEkKIHNSYkSk4OJh1CYpCedXmmZkJjaXDXOEN48vQZSbxmpIVHxQEY48eAADN6dNQZWbauiy7RceiNJSXeCyyosaMTDQOiDSUV231df4F6G4mKZqalaNeaqJjURrKSzwWWVFjRqY8y1w6RBzKq7aGZsqm6QzEa2pWhjvuEB470qUmOhalobzEY5EVfVISwlh151+zSoVr0dGMq3E8ps6dYQ4NBQBo9u0DiosZV0QIkYoaMzK1b9+edQmKQnlZU1dUoI2ln0ZRRARMzs5Wr9OpbfGanBXHQW+51MTp9XDatct2RdkxOhalobzEY5EVNWZkysjIYF2ColBe1rwuXgRnGaztxv4yAE1nIIWcrKz6zTjIpSY6FqWhvMRjkRU1ZmSqqKhgXYKiUF7WrPrLtG1b63XqACyenKyMgwaBt4xa6rRtG+AAd5HRsSgN5SUei6yoMSOTi4sL6xIUhfKy5nPunPC4sF27Wq/TdAbiycrK2RmGm28GAKjy86E+csQ2RdkxOhalobzEY5EVNWZkCrV0HCTiUF7WfJKTAQAGZ2dcDw+v9TqNMyOe3Kwc7RZtOhalobzEY5EVNWZkSqlxmYA0jvL6l0t+PlwLCgBYzsrU0eeDpjMQT25WhmHDwFsuVWkdoN8MHYvSUF7isciKGjOEMOJrOSsDAFfpTgnm+IAAmCyjAauTkqCiDp+EKAY1ZmSimVSlobz+VbO/zNW4uDqXoctM4tkiK6sB9LZulb0+e0bHojSUl3g0azYhDqTmmZkCOjNjF/TDhwuPnbZsYVgJIUQKaszIlJOTw7oERaG8LMrL4XXxIgCgKDQUBnf3OhejcWbEs0VW5g4dYLLcVaY5eBBcK95f6ViUhvISj0VW1JghhAH18eNQWS6L1HeJiTDAcdDfc0/VQ55v9ZeaCGktqDEjU2wdo7aS+lFeVTR//y08bugSE01nIJ6tsjKMGCE81m7ebJN12iM6FqWhvMRjkRU1ZmS6fPky6xIUhfKqojl0SHjc0JkZuswknq2yMnXpAlNkJICqiSc5y+3zrQ0di9JQXuKxyIoaMzKVl5ezLkFRKC8APC80ZvRubihuYIApms5APJtlxXEwVF9qMpla7aUmOhalobzEY5EVNWZkcr5hlmPSMMoLUKWnQ5WbCwAoaNcOUNV/GNJ0BuLZMiu9A1xqomNRGspLPBZZUWNGpoiICNYlKArlJf4SE0DjzEhhy6xMPXrAHBICANDs3g3u+nWbrdte0LEoDeUlHousqDEj07kaA5+RxlFegFpk51+ApjOQwqZZqVTC2RnOYGiVczXRsSgN5SUei6yoMUNIC6s+M8NzXNVlJmKXqvvNADSAHiH2jhozMvn7+7MuQVEcPq+SEqhPnQIAFIWHw+jq2uDiZrO5JapqFWydlbFPH5gDAgAATtu3AyUlNl0/aw5/LEpEeYnHIitqzMhElwGkcfS8NEePgrP80hUzWB51ABbP5lmp1dDffTcAgKuogNO2bbZdP2OOfixKRXmJxyIraszIlJWVxboERXH0vKR0/gVonBkpmiMrqwH0WtmlJkc/FqWivMRjkRU1ZghpQVI6/xL2jAMGwOzjAwBw+v13oLSUcUWEkLpQY0ammJgY1iUoikPnVWOwPLOPD0qCgxt9C01nIF6zZKXRwFB9qamsDE6//GL7bTDi0MdiE1Be4rHIihozMtFMqtI4cl6qc+egKiwEABh79wZEjFhLl5nEa66s9A89JDzWbdjQLNtgwZGPxaagvMSjWbMVqJROO0viyHlpDhwQHhv79RP1HprOQLzmysp4000wW6ac0OzcCS4vr1m209Ic+VhsCspLPBZZUWNGJq1Wy7oERXHkvJz27RMeGwcMEPUeuptJvGbLSqVC5YMPAqiaq0m7aVPzbKeFOfKx2BSUl3gssrKLxswnn3yC6OhoODs7o2fPnti7d2+9y+7atQscx9X6Onv2bAtW/C+6jiqNw+bF88KZGd7dHaaEBFFvo+kMxGvOrPQPPCA81n73XbNtpyU57LHYRJSXeA7ZZ2b9+vV4/vnn8eqrr+Lo0aMYNGgQ7rzzTmRkZDT4vuTkZGRlZQlf7RiNpMqqEaVUjpqXKiUFKst1ZONNNwEix2GgsS3Ea86szPHxMHbuXLWdI0egunCh2bbVUhz1WGwqyks8Flkxb8x8+OGHGD9+PJ566il07NgRixYtQnh4OJYtW9bg+wICAhAUFCR8UUdJYs80+/cLjw0iLzER+6K3XGoCAO333zOshBByI6aNGb1ejyNHjmDYsGFWzw8bNgwHanSWrEv37t0RHByMoUOHYufOnaK2V1xcjKKiIuGrsrKyybVX8/X1lb0OR+KoeTnVaMyI7S8D0HQGUjR3VvpRo8BbOhlrv/sOUHh/Jkc9FpuK8hKPRVZMz2Hn5+fDZDIhMDDQ6vnAwEBkZ2fX+Z7g4GCsWLECPXv2RGVlJb788ksMHToUu3btwuDBgxvcXufOnVFWViZ8P27cOEyZMgXBwcG4YDltHBgYCJ7nkZubCwBo164dLl26hPLycjg7OyM8PBznz58HUHV2SK/X48yZMwCAtm3bIjs7G6WlpdDpdIiKikJycjIAwM/PD1qtFleuXAEAREdHIy8vDyUlJXByckJsbCySkpIAAD4+PnBxccHly5cBAFFRUSgoKEBRURHUajXi4uKQlJQEnufh5eUFDw8PZGZmAqiaer2oqAjXrl0Dx3Ho2LEjkpOTYTKZ4OnpCW9vb6SnpwMAwsLCUFZWhoKCAgBAfHw8zp07B6PRCA8PD/j5+eHixYsAgJCQEFRWVuLq1asAgA4dOiA1NRV6vR5ubm4IDAxEamqq8H9kNBqRZ7nro3379sjIyEBFRQVUKhW8vb2RkpIi5A38eytfbGwsLl++LOQdEREhzMDq7+8PjUYjjC4ZExODnJwclJaWQqvVIiYmRji96evrC51OZ5V3fn4+iouLodFo0L59e+H/zcfHB66urrh06RIAIDIyEoWFhfXm7enpKVwGDQ8PR3Fxcb15+/j4IO3iRfTetQsAYHZxwSmtFrxl22q1GhzHwWw2w2w2C5dKTCYTOI6DSqWCSqWC0WiEWq3GmTNn4ObmhqCgIGGfDQoKgtlsttpnMzMzUVFRARcXFwCwWm/1dgEI6+U4DjzPw2QyCcuazWbwPG+1bHU9tly25s9avWzNXOpbtq76b/xZq5c9c+aM1T7r7u6OgICABvfZ9PR0VFZWwtXVteoz4to1dOrRA15HjkCdmoqMjRtREh/f6GeESqUSPs/s6TMiLy8PBQUFdvcZ4eLigtDQULv7jDCbzcL3Nv+MSEsDAISGhqK8vFzIu2PHjkhJSYHBYIC7uzv8/f2t8tbr9cjPzwcAxMXFIS0tDZWVlZI/I8LCwqz2WY7jhLzbtm2LrKwslJWVQafTITIyssG8c3NzUVhYiOLi4lp5Ozs717nP3pi3t7c33N3dkZmZKbpjP8czvF3iypUrCA0NxYEDB9Cvxq2q77zzDr788kvR191GjBgBjuOwefPmOl83Go3YvXs3YmJihA9BANDpdNDpdLJ+hjNnziA+Pl7WOhyJI+alunABbXr3BgAYhgxBieUSxY4dOxp9r0ajsRoMbsiQIZK3L2Y7rcGNWdXUlNzqov3qK7hNnQoAqJgwAeULFthkvSw44rEoB+Ulni2zMplMOH78OBITExvsF8f0MpOfnx/UanWtszC5ubm1ztY05KabbhJalQ3x8PCAp6en8CW3IUOIGJom3JJN7JP+nnvAWz43tD/8ABgMjCsihACMGzNarRY9e/bEthtmo922bRv69+8vej1Hjx5FsIih4ZtDdHQ0k+0qlSPmVXOwPKmdf2k6A/FaJCtPTxhuvx0AoMrPh8Zy+VCJHPFYlIPyEo9FVszvZnrhhRfw+eefY9WqVUhKSsL06dORkZGBiRMnAgBmzZqFxx9/XFh+0aJF+PHHH3H+/HmcPn0as2bNwsaNGzF58mQm9VdfryTiOFxePC8Mlse7usLUvbukt9e8LEoa1lJZWU1v8M03LbLN5uBwx6JMlJd4LLJiPojFww8/jKtXr2Lu3LnIyspC586dsXXrVkRGRgKomkq85pgzer0eM2bMwOXLl+Hi4oJOnTrh559/xvDhw5nUX1xczGS7SuVoeanS0qCydI4z9ukDODlJe79KRXc0idRSWRluvRVmf3+o8vLgtHUruLw88P7+zb5dW3O0Y1Euyks8Flkxb8wAwHPPPYfnnnuuztfWrFlj9f3MmTMxc+bMFqhKHBrUTBpHy0tufxmazkC8FstKq4X+0Ufh/PHH4AwGaNetQ6WlU7CSONqxKBflJR6LrOgctkzt27dnXYKiOFpecgfLo+kMxGvJrCofe0x4rFu7VpFjzjjasSgX5SUei6yoMSNT9X3xRByHyovnhcHyeBcXmHr0kLwK+mtQvJbMyhwTA0NiIgBAnZpqdQZOKRzqWLQByks8FlnRJyUhzUSVng6VZYAoY58+AM26y4zUsXbEjEtT+fjjcNq9GwCg++ILGAcNalJthBD56MyMTD4+PqxLUBRHykvTxCkMaqLOv+K1dFaGu+6C2c8PAOD000/gFHa3iyMdi7ZAeYnHIitqzMjk6urKugRFcaS8bDFYHnUAFq/Fs9JqoX/kEQAAp9dD++23Lbt9mRzpWLQFyks8FllRY0am6vl8iDgOk5fZDCfLpQ3ezQ3GJvSXAUCzwUvAIisldwR2mGPRRigv8VhkRY0ZQpqB+sQJqCyT6BkGDQJo6oxWyRwbC8PAgQAAdUqK1WjPhJCWQ40ZmaoH9yPiOEpeTn/8ITw23Hprk9dDt2aLxyqryrFjhcfaL75gUkNTOMqxaCuUl3gssqLGjEyFhYWsS1AUR8mrZmPGKKMxw3GcLcpxCKyyMtx1F8yWDo/aLVvAWc7I2TtHORZthfISj0VW1JiRqaioiHUJiuIIeXGFhVAfPgwAMLVrB3NERJPXRXMziccsK2dn6B99FADAVVZCt3IlmzokcoRj0ZYoL/FYZEWflDJRB01pHCEvzc6d4Cy3Ccu5xATQ3UxSsMyqYsIE8JZ9W7dyJVBezqwWsRzhWLQlyks8FllRY0amuLg41iUoiiPk5bR9u/DYMHSorHVRnxnxWGbFh4XBMHIkAEB19Sq069czq0UsRzgWbYnyEo9FVtSYkSkpKYl1CYrS6vOqeUu2qyuM/fvLWh1NZyAe66wqJk0SHjsvWwbY+YCHrf5YtDHKSzwWWVFjRia6DCBNa89LfeoUVDk5AFB1y66zM+OKSEsxde8Og6Xxqj5/Hk7btjGuqGGt/Vi0NcpLPBZZUWNGJi8vL9YlKEprz8tWdzFVo+kMxLOHrCprnJ3RLV3KsJLGtfZj0dYoL/FYZEWNGZk8PT1Zl6AorT0vjY3Gl6lGfw2KZw9ZGW6/HabYWACA0759UB8/zrii+rX2Y9HWKC/xWGRFjRmZMjIyWJegKK05L+76dWgOHQIAmGJjYY6Kkr1OuoNCPLvISqVCxbPPCt/a89mZ1nwsNgfKSzwWWVFjhhAb0ezaBc5yR41hyBDG1RBW9A8//O8geps2gaM5fQhpdtSYkSk8PJx1CYrSmvOy1RQGNdGt2eLZTVaurqh88kkAAGcyVd3ZZIda87HYHCgv8VhkRY0ZmYqLi1mXoCitNi+e//eWbGdnGAcMsMlqaToD8ewpq8qnngJvuZNNt3o1uOxsxhXV1mqPxWZCeYnHIitqzMh07do11iUoSmvNS33yJFRZWQAA48CBgIuLTdZL0xmIZ09Z8QEBqBw3DgDAVVTAedEitgXVobUei82F8hKPRVb2c/QrlD39NagErTUvp//9T3hsuP12hpUQe1Hx/PPgXV0BALo1a+yu70xrPRabC+UlHousqDEjU8eOHVmXoCitMi+eh3bTpqqHKhX0I0bYbNVGo9Fm62rt7C0r3t8fFRMmAAA4vR4uH3zAuCJrrfJYbEaUl3gssqLGjEzJycmsS1CU1piX+tgxqNPSAADGQYPABwTYbt32cLuxQthjVpWTJ4N3dwcAaL/+GirLfmIPWuOx2JwoL/FYZEWNGZns5g4KhWiNeWl//FF4rLdMNmgrdGpbPHvMivfxEcad4YxGOL//PuOK/tUaj8XmRHmJxyIraszIRKNCStPq8uJ5OFkaM7xaDYMNLzEB9jFEv1LYa1aVzz0Hc5s2AADt+vVQpaQwrqhKqzsWmxnlJR6NAKxAPpbBsYg4rS0v9ZEjUGdmAgCMiYngfX1tun57/QVtj+w1K75NG1ROngwA4MxmOL/3HuOKqrS2Y7G5UV7isciKGjMypdnRNXAlaG15VXf8BQD9vffafP0ajcbm62yt7DmrigkTYLY0dLUbN0J94gTjilrfsdjcKC/xWGRFjRlCmspsFvrL8E5OMNx9N9t6iP3y8EDF888DADieh+vMmYAdTIxJSGtBjRmZQkNDWZegKK0pL/Xff/87UN7NN4NvhmnvqdOhePaeVeXTTwszamv+/hvaDRuY1tOajsWWQHmJxyIraszIVF5ezroERWlNeVndxXTffc2yDXu8Q8de2X1WWi3K5s8XvnV54w2gqIhZOa3pWGwJlJd4LLKixoxMBQUFrEtQlFaTl8kE7ebNAABeq4V++PBm2Yw9DdFv75SQlXHoUOjvugsAoMrJgQvDW7VbzbHYQigv8VhkZf9HPyF2SHPwIFSWyQMNQ4cCdNsmEan87bf/nYTy00+hosHYCJGNGjMy0RDX0rSWvJxq3sXUTJeYAPsbot+eKSUrc2QkKqZOBVA1kJ7rK68w6QzcWo7FlkJ5iUfTGShQip0MgKUUrSKv0lJov/8eAMA7OzfrxJL2OES/vVJSVhXTpsEUHg4AcNq9G05btrR4Da3iWGxBlJd4LLKixoxMBoOBdQmK0hry0n7/PVSWjpv6++4DPDyabVt236nVjigqKxcXlL/9tvCt68svg2vhfgat4VhsSZSXeCyyosaMTO6WSeSIOIrPi+ehW7lS+LbyqaeadXP2OqqtPVJaVoa774bhttsAVHUGdn3xxRa93KT4Y7GFUV7iscjKfofMVAh/f3/WJSiKEvLasWNHva/5nj2Lm0+dAgAUxMZiZ2Eh0MDyct34C7qh2hwd68ZMU/5vhn78MTwHDICqsBDa//0Phu+/h/7BB5uhutqUcCzaUlP+f4YMGSI8drS85GCRFZ2ZkenixYusS1AUpecV8+uvwuMLd9zR7Nuz5yH67Y0Ss+KDglD2wQfC9y4vvQTu8uUW2bbSj8WWRnmJxyIraswQIpLu2jWEHTwIAKj09MSl/v0ZV0RaA8O996LygQcAAKqiIrhNngwo7JIZIaxRY0amkJAQ1iUoipLzitq+HSrL7b9pQ4bArNU2+zbtfYh+e6LkrMrfew/m4GAAVXc36T7/vNm3qeRjkQXKSzwWWVFjRia9Xs+6BEVRal6cyYSY338HAPAch1RLx81m366S7tBhTMlZ8V5eKF26VPje5Y03oD59ulm3qdRjkRXKSzwWWVFjRqb8/HzWJSiKUvMKPnwYrlevAgCye/RAWWBgi2xXCUP02wulZ2W8+WZUTJgAAOAqKuA2Zgw4yz7XHJR6LLJCeYnHIitlH/2EtJC2Ldzxlzim8jlzYOzeHQCgzsiA25NPAjS+CSGNosaMTHFxcaxLUBQl5uWRmYmAkycBACVBQchJSGixbStliH570CqycnFBydq1MAcEAACc9u6Fy2uvNcumlHgsskR5icciK2rMyJSWlsa6BEVRYl7x69cLj1Nvvx1owcsZShqin7XWkhUfGoqSL74A7+QEAHBesQLaL7+0+XaUeCyyRHmJxyIraszIVFlZyboERVFaXt7nzwu3Y5d7ebVYx99qSu7U2tJaU1amvn1RtnCh8L3rjBlQ//WXTbehtGORNcpLPBZZUWNGJjc3N9YlKIqi8uJ5dP76a+Hbsw8+CJOzcwuX0PKzKStVa8tK/9hjqHj6aQAAZzDA/ZFHbHqHk6KORTtAeYnHIitqzMgUFBTEugRFUVJegcePI8AydUFJUBAuDh3a4jUoeeyUltYasyp/+20YBg8GAKiuXYP7ffdBlZxsk3Ur6Vi0B5SXeCyyosaMTBcuXGBdgqIoJi+zGZ2/+kr49vQjj4BnMFy+EofoZ6VVZuXkhJIvv4SxVy8AgCo/Hx733QeVDY4jxRyLdoLyEo9FVtSYIaQOYQcOwMvSia0wJgaX+vVjWxBxXB4eKPnuOxgtd9GpsrPhMXIkVOnpjAsjxH5QY0YmOvUojRLy4gwGdFq3Tvj+1JgxLXoHU02t8dJJc2nNWfFt2qBk40YY4+MBAKorV+B+771QyZjQTwnHoj2hvMSjy0wKZKYJ4SRRQl7Rf/wB95wcAEBuly7IbcFxZQipD+/jg5JNm2Bq1w4AoE5Ph8ewYVD//XeT1qeEY9GeUF7isciKGjMy5ebmsi5BUew9L+7SJXT69lvh+5NjxjCspvWMndISHCEr3t8fxT/+CFP79gAA1dWr8Bg5Ek4//ih5XfZ+LNobyks8FllRY4aQaiYT3CZOhLa0FACQMWgQrsXGMi6KEGt8cDCKf/0VhkGDAABcZSXcn3wSuo8/BlrZ7emEiEWNGZnaWU75EnHsOS/njz+G04EDAIAyPz8cGz+ecUWtZIj+FuJIWfFeXij57jtUPvKI8Jzrm2/CdfJkoKRE1Drs+Vi0R5SXeCyyosaMTJmZmaxLUBR7zUt95AicFywAAPAqFQ5NnQqDuzvjqhzj0omtOFxWWi3KlixB+ezZwlO6devgefPNUP/zT6Nvt9dj0V5RXuKxyIoaMzJVVFSwLkFR7DKv4mK4TZgAzvKX/dn77kO+5a4R1lrTEP3NzSGz4jhUzJiBks8+A28ZdVWdmgqPO+6A84cfAg3c4WWXx6Ido7zEY5EVNWZkcnFxYV2CothjXq6zZkFtucXV2LMnkh58kHFF/2ptQ/Q3J0fOyjBqFIp274axRw8AAGc0wuXtt+E+ciRU58/X+R57PBbtGeUlHousqDEjU1hYGOsSFMXe8tKtWAHdN98AAHh3d5SuWMFkpN/6tOaxU2zN0bMyx8Sg+JdfUP7ii+At4yI5HTgAzwED4PLaa0BRkdXy9nYs2jvKSzwWWVFjRqbz9fzVQ+pmT3npPvsMrq+8Inxf9u67MEdHM6yotlY5RH8zoawAODmh4tVXUbJlC0zh4QCqztI4L12KNr17Q/vVV4BlDBB7OhaVgPISj0VW1JghDkn3+edwffll4fvyF1+EvsadIYQombFfPxT9+SfKX3oJvGWmd1VeHtymToVHYiKcNm5ssD8NIUpDjRmZAgICWJegKPaQl+7zz+E6c6bwffmLL6Kixh0h9sTRL51IQVndwNUVFbNmoejgQejvuUd4WnP6NNyffhq9H3sM2i++ACorGRapHPbw2aUULLKixoxMDnkHhQxM8+J56JYsqbshQ/+PpJUyR0SgdM0aFP/vf0IHYQDQZmTAbfp0tOneHc7vvCNrnidHQJ/14rHIihozMuVY5vAh4rDKi7t8Ge4PPADX118Xnit/4QW7b8g43NgpMlBWDTMOGoTibdtQ/OOPMCQmCs+rsrPh8sEHaNOzJ9zvuQfa9esByyjY5F/0WS8ei6yoMUNaN56H9rvv4DlwIJx27hSeLp8xAxWvvmrXDRlCbI7jYBw8GCWbNuH4Z59Bf/fd4Gs0Ap327YPbs8/Cq107uD36KLRr14KjOYmIAlD3f5natm3LugRFacm8VCkpcHn7bWg3bxaeMwcHo3TxYhiHDm2xOuRwpCH65aKspAm8+26UjhoFLjsb2g0boPv6a6gtd6FwFRXQ/vortL/+Cp7jYOrRA4bERBj79YOxTx/Aw4Nx9S2PPuvFY5EVNWZkysrKQlRUFOsyFKPZ8+J5aA4cgO6TT+D066/gagykVvnAAyh/7z3wXl7Nt30bU6vV1LFVJMpKmupjkQ8KQuXUqaicMgXqv/+G7ttv4fTrr1BZLhVwPA/NkSPQHDkCAODVapgSEmDs0wemrl1h7NoV5vbtgVZ+azx91ovHIiu7uMz0ySefIDo6Gs7OzujZsyf27t3b4PK7d+9Gz5494ezsjJiYGCxfvryFKrVWWVmJ//u//0Ml3Q0gSnPmpUpPh3b1angMHQqPESOg/eUXoSFj9vFByapVKFuxQlENGYPBgG+//RYGg4F1KXaPspKmzmOR42Dq2xdlH32E66dPo2jbNpS/+CJMHTtavZczmaD55x84L18Ot+eeQ5uBA+EVEQGPW2+F63PPwfnDD+H0v/9BdeYMUFbWwj9Z86DPevFYZcXxjMcAX79+PR577DF88sknGDBgAD799FN8/vnnOHPmDCIiImotf/HiRXTu3BlPP/00nnnmGezfvx/PPfcc1q1bh1GjRtW5DaPRiN27dyMhIcGmnQSLiooQFRWFtLQ0eHp62my9rZXN8jKbocrIgPrMGWh274bTjh1QX7hQe7HgYFQ88wz0Y8eCb9NG9Op37NjR9NpsqKysDI8//jjWrl0LV1dX1uXYNVtnNWTIEMnvacp+05Tt2ILUY5HLyoLmzz+hOXAATgcOQH32rOhtmf38YA4Lq/oKDYU5OBi8vz/M/v7gAwNh9vMD7+0NWMbDaS5y/n/os148W2dlMplw/PhxJCYmNjgwJvPzgh9++CHGjx+Pp556CgCwaNEi/Pbbb1i2bBnmz59fa/nly5cjIiICixYtAgB07NgRhw8fxsKFC+ttzBAF4HmgvBxcWRm40lKgtBSqvDxw+flQ5eaCy8+HOiMDqnPnoE5JAVdeXu+qjAkJqJg0CYaRIwEnpxb8IQhpnfjgYBjuvx+G++9HOQCuoADq48ehPnECmhMnoD5xos4/KABAlZ8PVX4+cOxYw9twcQHv5QWztzd4T0/AwwO8hwd4d/eqL1dX8K6ugOVf3sUF0OnA63SAs3PVv1oteK226rjXaqumJtFoACcnaMrKwKvVMKtUVdM9qFR0A0ArwrQxo9frceTIEbxSY0h5ABg2bBgOHDhQ53v+/PNPDBs2zOq522+/HStXroTBYIBTC/3y0hw4gKCXX8YRAEF33eUYt4XeeBKvrpN6PA/wfNUlnuovsxngebgbjUgBEDpgAFRmM6DXAwYDOIMBqKiw6t8iqSyNBsY+fWC85RYYhg6FKSGBPqQIaUa8jw+Mt9wC4y23QLiYUFYGdWoqVOfPQ33hAlQpKVCnp0N16RK4rCxwlmkU6sOVl4MrL4cqK6tZah5Zx3PVDZvqxg2vUoHnOPAcB6hUcNLpAJUKHgAyAQT16wdOra76fGnoC6j9GXTj83Usx9f33rrUtUxzfe6JXG/FSy8BgwY1Tw2NYNqYyc/Ph8lkQmBgoNXzgYGByM7OrvM92dnZdS5vNBqRn5+P4ODgWu+pvpJ2/fp1qFT/dhPSarXQ6XRNqp0rLob64kV0dXUFaLCpWupqlnAAIl1dgcJCWH2scRwgcpZVXq2GOTISptjYqq/u3WHs18/67opGPjSVguM4uLq60mBdItg6q5bqSMyqw7LZbIarqyvMZrPtatDpqvrX3NDHBgBgNEKVnV3VqMnNhSo/H1xeXtW/BQXgrl+HqrAQ3LVrVV+M+qZwwL9/iJnNMNe4Qy7I1RW4fr3OzzZSxXTtms33rep1NNYjhvllJqD2aIE8zzf4oVTX8nU9X606jLS0NBlV3sDfH6hxyy9hKDXVpqvzspNOwl5eXthM+5gots7q+PHjTaqhJbZjK5s3b0aqjY+dRmm1QFhY1RdpnVJTm2XfMplMDV55YdqY8fPzg1qtrnUWJjc3t9bZl2pBQUF1Lq/RaODr61vne7RaLXr16gWTyWTV4JFzZoYQQgghzYvneZhMJmi12gaXY9qY0Wq16NmzJ7Zt24b77rtPeH7btm0YObKuK5xAv379sGXLFqvnfv/9d/Tq1aveVptKpUIbCXezEEIIIcQ+iOkLy3ycmRdeeAGff/45Vq1ahaSkJEyfPh0ZGRmYOHEiAGDWrFl4/PHHheUnTpyI9PR0vPDCC0hKSsKqVauwcuVKzJgxg9WPQAghhBCGmPeZefjhh3H16lXMnTsXWVlZ6Ny5M7Zu3YrIyEgAVSMJZmRkCMtHR0dj69atmD59OpYuXYqQkBAsXryYbssmhBBCHBTzQfMIIYQQQuRgfpnJ3il1qgVWpOS1a9cucBxX6+ushNFFlWrPnj0YMWIEQkJCwHEcfvzxx0bf48j7ltS8HHnfmj9/Pnr37g0PDw8EBATg3nvvRXJycqPvc9T9qyl5Oer+tWzZMnTt2hWenp7w9PREv3798MsvvzT4npbar6gx04D169fj+eefx6uvvoqjR49i0KBBuPPOO60ue9V08eJFDB8+HIMGDcLRo0cxe/ZsTJ06FRs3bmzhytmQmle15ORkZGVlCV/t2rVroYrZKS0tRUJCApYsWSJqeUfft6TmVc0R963du3dj0qRJOHjwILZt2waj0Yhhw4ahtLS03vc48v7VlLyqOdr+FRYWhgULFuDw4cM4fPgwhgwZgpEjR+L06dN1Lt+i+xVP6tWnTx9+4sSJVs916NCBf+WVV+pcfubMmXyHDh2snnvmmWf4m266qdlqtCdS89q5cycPgC8sLGyB6uwXAH7Tpk0NLuPo+1ZNYvKifetfubm5PAB+9+7d9S5D+9e/xORF+9e/vL29+c8//7zO11pyv6IzM/WonmrhxqkTmjLVwuHDh1v9bL5Nyata9+7dERwcjKFDh2Lnzp3NWaZiOfK+JQftW1UjnwOAj49PvcvQ/vUvMXlVc+T9y2Qy4dtvv0VpaSn69etX5zItuV9RY6YezTHVQmvWlLyCg4OxYsUKbNy4ET/88APi4uIwdOhQ7NmzpyVKVhRH3reagvatKjzP44UXXsDAgQPRuXPnepej/auK2Lwcef86efIk3N3dodPpMHHiRGzatAnx8fF1LtuS+xXzW7PtXXNPtdDaSMkrLi4OcXFxwvf9+vVDZmYmFi5ciMGDBzdrnUrk6PuWFLRvVZk8eTJOnDiBffv2Nbos7V/i83Lk/SsuLg7Hjh3DtWvXsHHjRowdOxa7d++ut0HTUvsVnZmpR0tNtdBaNCWvutx00004f/68rctTPEfet2zF0fatKVOmYPPmzdi5cyfCGpkLifYvaXnVxVH2L61Wi9jYWPTq1Qvz589HQkICPv744zqXbcn9ihoz9ag51UJN27ZtQ//+/et8T79+/Wot39hUC61FU/Kqy9GjR+uc+dzROfK+ZSuOsm/xPI/Jkyfjhx9+wI4dOxAdHd3oexx5/2pKXnVxlP3rRjzPo7KeWc5bdL+yeZfiVuTbb7/lnZyc+JUrV/Jnzpzhn3/+ed7NzY1PS0vjeZ7nX3nlFf6xxx4Tlk9NTeVdXV356dOn82fOnOFXrlzJOzk58d9//z2rH6FFSc3ro48+4jdt2sSfO3eOP3XqFP/KK6/wAPiNGzey+hFaTHFxMX/06FH+6NGjPAD+ww8/5I8ePcqnp6fzPE/71o2k5uXI+9azzz7Lt2nTht+1axeflZUlfJWVlQnL0P71r6bk5aj716xZs/g9e/bwFy9e5E+cOMHPnj2bV6lU/O+//87zPNv9ihozjVi6dCkfGRnJa7VavkePHla3640dO5ZPTEy0Wn7Xrl189+7dea1Wy0dFRfHLli1r4YrZkpLXu+++y7dt25Z3dnbmvb29+YEDB/I///wzg6pbXvWtnTd+jR07lud52rduJDUvR9636soJAL969WphGdq//tWUvBx1/3ryySeFz3d/f39+6NChQkOG59nuVzSdASGEEEIUjfrMEEIIIUTRqDFDCCGEEEWjxgwhhBBCFI0aM4QQQghRNGrMEEIIIUTRqDFDCCGEEEWjxgwhhBBCFI0aM4S0In/99Rfuu+8+REREQKfTITAwEP369cOLL75otVxUVBTuvvvuOtdx+PBhcByHNWvWAAC6d++O0NBQmEymerc7YMAA+Pn5Qa/X2+xnaQ3S0tKssiSENA9qzBDSSvz888/o378/ioqK8N577+H333/Hxx9/jAEDBmD9+vVNXu/48eNx5coV/Pbbb3W+fu7cORw4cACPPfYYtFptk7dDCCFNRY0ZQlqJ9957D9HR0fjtt98wevRoJCYmYvTo0Vi4cCEyMjKavN4xY8bA2dkZq1atqvP16ueffPLJJm+DEELkoMYMIa3E1atX4efnB41GU+s1larph7q3tzfuu+8+bNmyBVevXrV6zWQy4csvv0Tv3r3RpUuXBtfDcRwmT56M1atXIy4uDi4uLujVqxcOHjwInufx/vvvIzo6Gu7u7hgyZAhSUlKs3r9t2zaMHDkSYWFhcHZ2RmxsLJ555hnk5+cLy1RUVKB79+6IjY3F9evXheezs7MRFBSEm2++ud7LZcePHwfHcVi5cmWt13755RdwHIfNmzcDAFJSUjBu3Di0a9cOrq6uCA0NxYgRI3Dy5MmGwwTwxBNPICoqqtbzb7zxBjiOs3qO53l88skn6NatG1xcXODt7Y0HHngAqampjW6HEEdCjRlCWol+/frhr7/+wtSpU/HXX3/BYDDYbN3jx4+HXq/HV199ZfX8b7/9hitXrmD8+PGi1vPTTz/h888/x4IFC7Bu3ToUFxfjrrvuwosvvoj9+/djyZIlWLFiBc6cOYNRo0ah5tRxFy5cQL9+/bBs2TL8/vvveP311/HXX39h4MCBws/q7OyMDRs2IDc3VzhTZDabMWbMGPA8j3Xr1kGtVtdZW0JCArp3747Vq1fXem3NmjUICAjA8OHDAQBXrlyBr68vFixYgF9//RVLly6FRqNB3759kZycLCoLMZ555hk8//zzuPXWW/Hjjz/ik08+wenTp9G/f3/k5OTYbDuEKF6zTF9JCGlx+fn5/MCBA4VZf52cnPj+/fvz8+fP54uLi62WjYyM5O+6664613Po0KFaswabzWY+Ojqa79q1q9Wyo0aN4l1dXfnr1683Wh8APigoiC8pKRGe+/HHH3kAfLdu3Xiz2Sw8v2jRIh4Af+LEiTrXZTabeYPBwKenp/MA+P/9739Wr69fv54HwC9atIh//fXXeZVKZTW7b30WL17MA+CTk5OF5woKCnidTse/+OKL9b7PaDTyer2eb9euHT99+nTh+YsXL9Y5A3NkZGStdcyZM4ev+ZH8559/8gD4Dz74wGq5zMxM3sXFhZ85c2ajPw8hjoLOzBDSSvj6+mLv3r04dOgQFixYgJEjR+LcuXOYNWsWunTpYnU5RiqO4zBu3DicOHECR44cAVB1WWvLli0YNWoUPD09Ra3nlltugZubm/B9x44dAQB33nmn1SWW6ufT09OF53JzczFx4kSEh4dDo9HAyckJkZGRAICkpCSr7Tz00EN49tln8dJLL+Htt9/G7NmzcdtttzVa35gxY6DT6azuPlq3bh0qKysxbtw44Tmj0Yh58+YhPj4eWq0WGo0GWq0W58+fr1VLU/3000/gOA7/+c9/YDQaha+goCAkJCRg165dNtkOIa0BNWYIaWV69eqFl19+Gd999x2uXLmC6dOnIy0tDe+9956wjEajqbfviNFoBAA4OTlZPT9u3DioVCrhMszXX38NvV4v+hITAPj4+Fh9X333U33PV1RUAKi6VDRs2DD88MMPmDlzJrZv346///4bBw8eBACUl5fX2taTTz4Jg8EAjUaDqVOniq7vnnvuwdq1a4V81qxZgz59+qBTp07Cci+88AJee+013HvvvdiyZQv++usvHDp0CAkJCXXW0hQ5OTngeR6BgYFwcnKy+jp48KCsxikhrU3tnoKEkFbDyckJc+bMwUcffYRTp04JzwcGBuLy5ct1vqf6+cDAQKvnw8LCMGzYMHzzzTf44IMPsHr1asTGxmLw4MHN9wNYnDp1CsePH8eaNWswduxY4fkbOwlXKy0txWOPPYb27dsjJycHTz31FP73v/+J2ta4cePw3XffYdu2bYiIiMChQ4ewbNkyq2W++uorPP7445g3b57V8/n5+fDy8mpw/c7OzqisrKz1/I2NEz8/P3Ach71790Kn09Vavq7nCHFUdGaGkFYiKyurzuerL3uEhIQIz9166604deoUzpw5U2v5DRs2wN3dHX379q312vjx41FYWIjXX38dx44dw7hx42rdgdMcqrdx4y/wTz/9tM7lJ06ciIyMDPzwww9YuXIlNm/ejI8++kjUtoYNG4bQ0FCsXr0aq1evhrOzMx555JFa9dxYy88//1xvA7GmqKgo5ObmWnXg1ev1tcbxufvuu8HzPC5fvoxevXrV+mrs7jFCHAmdmSGklbj99tsRFhaGESNGoEOHDjCbzTh27Bg++OADuLu7Y9q0acKy06ZNw9q1a3HzzTdj9uzZ6NKlCwoLC7F+/Xp8//33+PDDD+Hh4VFrG/fccw/8/Pzw/vvvQ61WW50laU4dOnRA27Zt8corr4Dnefj4+GDLli3Ytm1brWU///xzfPXVV1i9ejU6deqETp06YfLkyXj55ZcxYMAA9OnTp8FtqdVqPP744/jwww/h6emJ+++/H23atLFa5u6778aaNWvQoUMHdO3aFUeOHMH777+PsLCwRn+Whx9+GK+//jpGjx6Nl156CRUVFVi8eHGty34DBgzAhAkTMG7cOBw+fBiDBw+Gm5sbsrKysG/fPnTp0gXPPvusiPQIcQCMOyATQmxk/fr1/KOPPsq3a9eOd3d3552cnPiIiAj+scce48+cOVNr+ezsbP7ZZ5/lIyIieI1Gw3t4ePADBw7kv/vuuwa3M336dB4AP3z4cEn1AeAnTZpk9Vz13T7vv/++1fM7d+7kAVjVcubMGf62227jPTw8eG9vb/7BBx/kMzIyeAD8nDlzeJ7n+RMnTvAuLi782LFjrdZXUVHB9+zZk4+KiuILCwsbrfXcuXPCXWHbtm2r9XphYSE/fvx4PiAggHd1deUHDhzI7927l09MTOQTExNr/Xw172bieZ7funUr361bN97FxYWPiYnhlyxZUutupmqrVq3i+/bty7u5ufEuLi5827Zt+ccff5w/fPhwoz8HIY6C4/kaAzkQQgghhCgM9ZkhhBBCiKJRY4YQQgghikaNGUIIIYQoGjVmCCGEEKJo1JghhBBCiKJRY4YQQgghikaNGUIIIYQoGjVmCCGEEKJo1JghhBBCiKJRY4YQQgghikaNGUIIIYQoGjVmCCGEEKJo/w8kC4iGYqIflwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy.stats import gamma\n", "\n", "def plot_gamma_fit(data, shape, scale, label):\n", " x_vals = np.linspace(0, np.max(data)*1.2, 100)\n", " pdf_vals = gamma.pdf(x_vals, a=shape, scale=scale)\n", "\n", " plt.hist(data, bins=20, density=True, alpha=0.6, color='gray', label='Data histogram')\n", " plt.plot(x_vals, pdf_vals, 'r-', lw=2, label='Fitted Gamma PDF')\n", " plt.title(f'Gamma Fit for {label} Class')\n", " plt.xlabel('SUV max value')\n", " plt.ylabel('Density')\n", " plt.legend()\n", " plt.show()\n", "\n", "# Plot for AE\n", "plot_gamma_fit(X_AE.flatten(), shape_ae, scale_ae, label='AE')\n", "\n", "# Plot for NC\n", "plot_gamma_fit(X_NC.flatten(), shape_nc, scale_nc, label='NC')\n" ] }, { "cell_type": "code", "execution_count": 32, "id": "c2e38af1", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\zahra\\AppData\\Local\\Temp\\ipykernel_22160\\3361191614.py:5: RuntimeWarning: invalid value encountered in divide\n", " odds_ratio = (prob_NC / prob_AE) * (p_x_given_nc / p_x_given_ae)\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def compute_p_ae_given_x(x_vals, gamma_AE, gamma_NC, prob_AE, prob_NC):\n", " p_x_given_ae = gamma_AE.pdf(x_vals)\n", " p_x_given_nc = gamma_NC.pdf(x_vals)\n", "\n", " odds_ratio = (prob_NC / prob_AE) * (p_x_given_nc / p_x_given_ae)\n", " p_ae_given_x = 1 / (1 + odds_ratio)\n", "\n", " return p_ae_given_x\n", "\n", "# Create a range of SUV values to plot over\n", "x_vals = np.linspace(0, np.max(X)*1.2, 500)\n", "\n", "# Class probabilities (estimated from data)\n", "prob_AE = np.mean(y == 1)\n", "prob_NC = np.mean(y == 0)\n", "\n", "# Use the fitted gamma distributions from MLE\n", "gamma_AE_mle = gamma(a=shape_ae, scale=scale_ae)\n", "gamma_NC_mle = gamma(a=shape_nc, scale=scale_nc)\n", "\n", "# Compute probability curve\n", "p_ae_curve = compute_p_ae_given_x(x_vals, gamma_AE_mle, gamma_NC_mle, prob_AE, prob_NC)\n", "\n", "# Plotting\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(x_vals, p_ae_curve, color='blue', lw=2)\n", "plt.xlabel('SUV max')\n", "plt.ylabel('P(AE | X)')\n", "plt.title('Posterior Probability of AE vs. SUV')\n", "plt.grid(True)\n", "plt.ylim(0, 1.05)\n", "plt.axhline(0.5, color='gray', linestyle='--', lw=1)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 33, "id": "3ca531ef", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "x_vals = np.linspace(0.01, 5, 300)\n", "\n", "plt.plot(x_vals, gamma_AE.pdf(x_vals), label='P(X | AE)', color='blue')\n", "plt.plot(x_vals, gamma_NC.pdf(x_vals), label='P(X | NC)', color='red')\n", "plt.title('Gamma PDFs of AE and NC')\n", "plt.xlabel('SUV max')\n", "plt.ylabel('Probability Density')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 5 }