Files
bio-plots/binding.ipynb
2023-10-14 14:45:39 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.special import binom"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Independent binding sites"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"L = 10**(np.linspace(-5, -1, 100))\n",
"K = 1000\n",
"n = 5\n",
"\n",
"Q = (1 + K * L)**n\n",
"\n",
"P = np.zeros((n + 1, L.size))\n",
"P[0] = 1 / Q\n",
"for i in range(1, n+1):\n",
" P[i] = binom(n, i) * K**i * L**i / Q\n",
"\n",
"nu = np.zeros_like(L)\n",
"for i in range(1, n+1):\n",
" nu += i * binom(n, i) * K**i * L**i / Q\n",
"\n",
"\n",
"plt.title(\"Bound ligands\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale(\"log\")\n",
"plt.ylabel(\"$\\\\nu$\")\n",
"plt.plot(L, nu)\n",
"plt.show()\n",
"\n",
"plt.title(\"Scatchard Plot\")\n",
"plt.xlabel(\"$\\\\nu$\")\n",
"plt.ylabel(\"$\\\\nu$/[L]\")\n",
"plt.plot(nu, nu / L)\n",
"plt.show()\n",
"\n",
"\n",
"plt.title(\"Probability of single states\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale('log')\n",
"for i in range(0, n+1):\n",
" plt.plot(L, P[i], label=f\"{i}\")\n",
"plt.legend()\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Two kinds of independent binding sites"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"L = 10**(np.linspace(-5, -1, 100))\n",
"K_A = 1000\n",
"n_A = 5\n",
"K_B = 10000\n",
"n_B = 2\n",
"\n",
"\n",
"Q_A = (1 + K_A * L)**n_A\n",
"\n",
"P_A = np.zeros((n_A + 1, L.size))\n",
"P_A[0] = 1 / Q_A\n",
"for i in range(1, n_A+1):\n",
" P_A[i] = binom(n_A, i) * K_A**i * L**i / Q_A\n",
"\n",
"nu_A = np.zeros_like(L)\n",
"for i in range(1, n_A+1):\n",
" nu_A += i * binom(n_A, i) * K_A**i * L**i / Q_A\n",
"\n",
"Q_B = (1 + K_B * L)**n_B\n",
"\n",
"P_B = np.zeros((n_B + 1, L.size))\n",
"P_B[0] = 1 / Q_B\n",
"for i in range(1, n_B+1):\n",
" P_B[i] = binom(n_B, i) * K_B**i * L**i / Q_B\n",
"\n",
"nu_B = np.zeros_like(L)\n",
"for i in range(1, n_B+1):\n",
" nu_B += i * binom(n_B, i) * K_B**i * L**i / Q_B\n",
"\n",
"\n",
"nu = nu_A + nu_B\n",
"\n",
"P = np.zeros((n_A + n_B + 1, L.size))\n",
"for i in range(0, n_A + n_B + 1):\n",
" for j in range(0,i+1):\n",
" if j < n_A + 1 and i-j < n_B + 1:\n",
" P[i] += P_A[j] * P_B[i-j] \n",
" \n",
"\n",
"plt.title(\"Bound ligands\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale(\"log\")\n",
"plt.ylabel(\"$\\\\nu$\")\n",
"plt.plot(L, nu, label=\"$\\\\nu$\")\n",
"plt.plot(L, nu_A, label=\"$\\\\nu_A$\")\n",
"plt.plot(L, nu_B, label=\"$\\\\nu_B$\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"plt.title(\"Scatchard Plot\")\n",
"plt.xlabel(\"$\\\\nu$\")\n",
"plt.ylabel(\"$\\\\nu$/[L]\")\n",
"plt.plot(nu, nu / L, label=\"$\\\\nu / L$\")\n",
"plt.plot(nu_A, nu_A / L, label=\"$\\\\nu_A / L$\")\n",
"plt.plot(nu_B, nu_B / L, label=\"$\\\\nu_B / L$\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"\n",
"plt.title(\"Probability of single states\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale('log')\n",
"for i in range(0, n_A + n_B + 1):\n",
" plt.plot(L, P[i], label=f\"{i}\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Infinitely cooperative binding sites"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"L = 10**(np.linspace(-5, -1, 100))\n",
"K = 1000\n",
"n = 5\n",
"\n",
"Q = np.ones_like(L) + K**n * L**n\n",
"P = K**n * L**n / Q\n",
"\n",
"\n",
"plt.title(\"Probability for occupied binding sites\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale('log')\n",
"plt.plot(L, P)\n",
"plt.show()\n",
"\n",
"plt.title(\"Hill-Plot\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale('log')\n",
"plt.yscale('log')\n",
"plt.ylabel(\"$\\\\log\\\\left(\\\\frac{ P }{1-P}\\\\right) = n (\\\\log L + \\\\log K)$\")\n",
"plt.plot(L, P / (1-P))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hemoglobin"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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5GrzcxshbrOT2SpKgtqJlHjexZnJFRQUPP/ww1tbWeHh48N5779XbX1NTw7PPPouXlxdWVlb07duXyMjIesds27aNzp07Y2Zmhr+/f71rvPrqq3h6elJQUKDfNmHCBIYPH45Wq2XOnDlMnDix3vVUKhWurq6sX7++wTpv2rQJe3t7fv/9d8LCwrC2tuaOO+4gKyvrhu9bEAShvSvNz+Pnd1/nl/ffpLyoEAcPT+59+Q3uePzpZgmUAEy9vJBqa7EaOJDAX35u0UAJRMtS81NVwpueLVP2C5mgvLEpnUuWLGHfvn38/PPPuLq68sILL3Dq1CnCw8MBWLhwIZcuXeKbb77B09OTH3/8kTvuuIPz588THBxMVFQU9913HytXrmTatGkcPnyYxx9/HCcnJ2bNmsWLL77Izp07mTdvHj/++CNr1qzh8OHDnD17Frlczrx58xgyZAhZWVl4eOj6xLdv305lZSXTpk1rtN6VlZW8++67fPHFF8jlcmbMmMGzzz7Lli1bbvvlEwRBaMu0Wg1nfv+Vg998gaq6CrnChD6T76bvXdMwUSoNWramrIzqS9FY9e0DgPWggfht+RKLnj0N3t13I0SwJFyjvLyc9evX8+WXXzJy5EgANm/ejLe3NwCpqals3LiR1NRUPD11gd+zzz7Lzp072bhxI2+++Sbvv/8+I0eO5OWXXwYgJCSES5cu8c477zBr1iwUCgVffvkl4eHhLFu2jI8++ojPPvsMX19fAAYMGEBoaChffPEFzz33HAAbN27k3nvvxdrautG6q1Qq1q5dS1BQEKAL6l599VXDvFCCIAhtRG5yIrs+/Q/ZCZcB8AwJY/SChTj7+Bm0XEmSKPv9D3LeeANtZSWBO37F1M0NAMuICIOWfTNEsNTcTC11LTwtVfYNSEhIoLa2lr59++q3OTo6EhoaCsD58+fRaDSEhITUO6+mpgYnJycAoqOjmTx5cr39AwcOZNWqVWg0GhQKBYGBgbz77rs88sgjTJs2jQceeKDe8fPmzePTTz/lueeeIycnh99++40///zzunW3tLTUB0oAHh4e5Obm3tB9C4IgtDeqmmqOfP81J7f/iKTVYmZpxeAHZtJt5B3I5IYdqaPKzCT7tdcp37sXAKWfH5qCAn2w1JqIYKm5yWQ33BXWWpWXl6NQKIiKikKhqL844vVafRqyf/9+FAoFycnJqNVqTK7K1fHwww+zbNkyjhw5wuHDhwkICGDw4MHXvZ6pqWm95zKZDOkmxmoJgiC0F8lnT7H7szWU5OYAENJvEMNnLcDawdGg5UoaDUVffknuhx8hVVaCqSnO8+fh9MgjLZ4ioDEiWBKuERQUhKmpKceOHdN3ixUVFREXF8fQoUPp0aMHGo2G3NzcRoOXsLAwDh06VG/boUOHCAkJ0QdYW7du5YcffiAyMpL77ruP1157jVdeeUV/vJOTE1OmTGHjxo0cOXKE2bNnG+iOBUEQ2o/KkmL2bl5HzKF9ANg4uTBy7qMERfT9hzNvn6RWk/LgDKrO6rJ/W/TsiccrKzELDjZ42bdDBEvCNaytrZk7dy5LlizByckJV1dXXnzxReR1TbIhISE8+OCDPPzww7z33nv06NGDvLw89uzZQ7du3ZgwYQLPPPMMvXv35rXXXmPatGkcOXKE1atX89///heA9PR0HnvsMf71r38xaNAgNm7cyMSJExk3bhz9+vXT12XevHlMnDgRjUbDzJkzW+T1EARBaAskSeJC5C72f7GB6opyZDI5PcZNYuB9D6K0uLFhGrdLZmKCRUQENYmJuD77LPb33mPw7r6mIIIloUHvvPMO5eXlTJo0CRsbG5555hlKSkr0+zdu3Mjrr7/OM888Q0ZGBs7OzvTr108/3b9nz558++23LF++nNdeew0PDw9effVVZs2ahSRJzJo1iz59+rBw4UIAxo4dy2OPPcaMGTM4c+aMvjtv1KhReHh40LlzZ/1g8is2bdrE7NmzRTebIAjCPyjMTGfXutWkX7oAgIt/IGMWLMI9yPAtOuX792Pq4aFvPXJZ+ASOs2Zi6tqy6QBuhkwSnzS3pbS0FDs7O0pKSrC1rZ9/orq6mqSkJAICAjA3N2+hGhq38vJyvLy82LhxI1OnTq23b8WKFezbt++a/E6tjXgfCILQUtQqFSd+/p5jP25Fo1ZjYmbGwHsfpOf4ycj/Nua0ycvOzyfnzbco3bEDi/Bw/L7a0qpaka73+f13omVJaJW0Wi35+fm899572Nvbc+edd15zzG+//cbq1atboHaCIAitX3r0BXZ9uprCzHQAAsIjGDn3cexcDTvbTNJqKd62jdx33kVbWgpyORbh4UhqNTID52syFBEsCa1SamoqAQEBeHt7s2nTpnqz5K44fvx4C9RMEAShdasuL2f/Vxs5v+d3ACzt7Bk+awGh/QcbPMFjTWIi2ctXUHnyJADmnTrh/uqrWHTpbNByDU0ES0Kr5O/vL8YiCYIg3ARJkog9coC9mz6lsqQYgK4jxjDkwTmY32Ral1tRdeYMKQ89jKRS1a3n9iSOD81A1sCXXWNj/HcgCIIgCO1cSW4Oe9b/l6QzUQA4evkwev4TeId1abY6mHfpgllwMCYuLrgvfxlTL69mK9vQWs9IKwNLS0tj2LBhdOrUiW7duvHdd99dd7sgCIIgtHZajYaT//uBTc8+TtKZKBQmJgy490Ee+tdHBg+UNMXF5L7/AdqaGkCXFsB300a8137cpgIlaEctSyYmJqxatYrw8HCys7OJiIhg/PjxjW63sjLuLNuCIAhC25aTGM8fn/yH3OQEALzDujB6wUIcPb0NWq4kSZT+uoOct95CU1AACjmuTz0FgOIfZpUZq3YTLHl4eOhXr3d3d8fZ2ZnCwkJ8fHwa3C6CJUEQBKE1qq2u4tDWLzn92/+QJC3mVtYMeWgOXYaNNvgA7tr0dLJfeZWKAwcAUAYFYT1okEHLbA2Mphtu//79TJo0CU9PT2QyGT/99NM1x6xZswZ/f3/Mzc3p27dvo7OloqKi0Gg0+Pj43NB2QRAEQWgNEqKOsWnx45za8TOSpKXjwKHM/mAtXYePMWigJKnVFKxfT+LESVQcOIDM1BTnJxcR8OMPWEZEGKzc1sJoWpYqKiro3r07c+bMuSY5IejWGVu8eDFr166lb9++rFq1irFjxxIbG4vrVVlCCwsLefjhh1m3bl298xvb/nc1NTXU1PXPgi6plSAIgiAYUnlRIXs3fkLcMd2am3auboyc+zgB4c0TqOT8+98Uff4FAJZ9+uD+ykrMAgKapezWwGiCpXHjxjFu3LhG97///vvMnz9fv9jq2rVr+fXXX9mwYQPLli0DdIHOlClTWLZsGQMGDNCf29j2hrz11lv1FnsVBEEQBEORtFrO7dnJga82U1NZgUwup9fEu+h/z/2YmjXfigCOD8+k7I9duCxahN3Uuwze3dfaGE2wdD21tbVERUXx/PPP67fJ5XJGjRrFkSNHAPTrkY0YMYKHHnpIf1xj2xvz/PPPs3jxYv3z0tJS0W0nCIIgNLn8tBR2fbqazLhoANyDghm9YBGu/oEGL7vszz+pOnsO1/97GgCltxcddv2BzNTU4GW3Rm0iWMrPz0ej0eDmVj+Fu5ubGzExMQAcOnSIrVu30q1bN/14py+++IKSkpIGt3ft2rXBsszMzDAzMzPYvQiCIAjtm7q2lmM/buX4z9vQatSYmlswaNoMwu+YiFxu2PXcVDm55LzxBmV//AGA9eBBWPbqBdBuAyVoI8HSjRg0aBBarbbBfY1tNwRJkqhSVzVbeVezMLG44abTmpoalixZwjfffENpaSm9evXigw8+oGvXrkRERDBw4EA+/fRTABISEggPD+fDDz9k2rRpeHh4sGHDBu655x799X766ScefPBBsrOzsbGxuaa8YcOG0a1bN8zNzfnss89QKpU8+uijrFy5sknuXRAEwRikXjjH7s9WU5SVCUBQr76MmP0ots4uBi1X0mop3rqV3PfeR1teDgoFTnNmY97ZuJcpaSptIlhydnZGoVCQk5NTb3tOTg7u7u4tVKuGVamr6PtV3xYp+9gDx7A0tbyhY5977jm2bdvG5s2b8fPz49///jdjx44lPj6eLVu20LdvXyZMmMDEiROZMWMGo0ePZs6cOQBMnz6djRs31guWrjxvKFC6YvPmzSxevJhjx45x5MgRZs2axcCBAxk9evTt3bggCEIrV1VWyr4vNnBx324ArBwcGTn7UTr06W/w8UHVcXFkL19B1ZkzAJh364bHq69g3rGjQcs1Jm0iWFIqlURERLBnzx6mTJkC6FqL9uzZw8KFC1u2ckaooqKCjz/+mE2bNukH1a9bt45du3axfv16lixZwuuvv868efOYPn06KSkpbN++XX/+vHnzGDBgAFlZWXh4eJCbm8uOHTvYvXv3dcvt1q0bK1asACA4OJjVq1ezZ88eESwJgtBmSZJE9MFIIjevo6qsFGQyuo8ax+AHZmJmafh8f1JtLWnzF6DOyUFuaYnL4sU43D8dmcKw3X3GxmiCpfLycuLj4/XPk5KSOHPmDI6Ojvj6+rJ48WJmzpxJr1696NOnD6tWraKiokI/O661sDCx4NgDx1qs7BuRkJCASqVi4MCB+m2mpqb06dOH6GjdQMNnnnmGn376idWrV/Pbb7/h5OSkP7ZPnz507tyZzZs3s2zZMr788kv8/PwYMmTIdcvt1q1bvedXAi1BEIS2qDg7i93r/0vKudMAOPv4MXrBQjxDwpqtDjKlEtdnn6X09524v/QSpq2sN6a1MJpg6eTJkwwfPlz//MqMtJkzZ7Jp0yamTZtGXl4ey5cvJzs7m/DwcHbu3HnNoO+WJpPJbrgrrDXLzc0lLi4OhULB5cuXueOOO+rtnzdvHmvWrGHZsmVs3LiR2bNn/2NTsunfBg/KZLJmHU8mCILQHDRqNSe3/8jR779GrarFxFRJv7un02vSVBQmhv1YVhcVkfv2v7AaMhi7CRMAsJ04AbtJEw1arrEzmmBp2LBhSJJ03WMWLlwout2aQFBQEEqlkkOHDuHn5weASqXixIkTPP300wDMmTOHrl27MnfuXObPn8+oUaMIC/vr29CMGTN47rnn+Oijj7h06RIzZ85siVsRBEFoVTLjYti1bjX5qckA+Hbpzqj5T+Dg7mnQciVJouTnn8l9+19oioupOHwYm9GjkSuV7S5n0q0wmmBJaD5WVlY89thjLFmyRN/N+e9//5vKykrmzp3LmjVrOHLkCOfOncPHx4dff/2VBx98kKNHj6JUKgFwcHBg6tSpLFmyhDFjxuDtbdiFHQVBEFqzmspKDn6zmTN/7ABJwtzGluEPzyNs8HDDr+eWkkLWypVUHjkKgFlICB6vvYq87u+18M9EsCQ06O2330ar1fLQQw9RVlZGr169+P3338nJyWHJkiWsX79en4zzv//9L926dePll1/mX//6l/4ac+fO5auvvtLPkrvasGHD8Pf3Z9OmTc11S4IgCC3i8vHD/LnxE8oLCwDoPHQkQ2bMwdLWzqDlSrW1FGzYSP7HHyPV1CAzM8P5iSdwmj2rXedMuhUiWBIaZG5uzkcffcRHH310zb7Kysp6z+3t7UlNTb3muIyMDJycnJg8efI1+5KSkpg1a5b+eWRk5DXHNLRYsiAIgrEoK8hnz4a1JJzUtejYu3swat4T+HUNb5byq86fJ2/VKgCsBgzAfeUKlL6+zVJ2UyorrEZhIsfStuVawkSwJDS5yspKsrKyePvtt3nkkUf0XXNXXLx4ETs7Ox5++OEWqqEgCILhaLUazvy+g4PffI6qugq5QkHvO++h79T7MFUadgUISatFJpcDYBkRgeOsWZh3CsN20iSjG5uk1Uqc35vO0V8SCejqxJh5XVqsLiJYEprcv//9b9544w2GDBlSb72+Kzp37sy5c+daoGaCIAiGlZucyK51q8mOjwPAI6QjY+YvxNnX36DlSpJE2R+7yPvgA3w3rMfUUzdg3G3ZUoOWayh5qWVEbokhN6UMgPKiGlS1GkyVLZP/SQRLQpNbuXKlWKZEEIR2RVVTzZHvv+bk9h+RtFqUFpYMeXAW3UbeoW/pMVjZWVlkv/Y65X/+CUD+p5/iYaR/g1U1Go7/L5Gzf6YjaSWUFiYMmBpEp4GeyOQt1zImgiVBEARBuA3JZ0+x+7M1lOTqltwK6TuQ4bMWYO3o9A9n3h5Jo6FoyxbyVn2ItrISTE1xmjcX50cfNWi5hpJyoYB9X8dSVlANQIcIVwbdF4yVXcsvXi+CJUEQBEG4BZUlxezdvI6YQ/sAsHFyYeTcRwmKMPz6n9WXLpG1fAXVFy4AYNGzJx6vrMQsONjgZTe1ytJaDn4bx+WTuhUbrB3NGHp/KP5dnVu4Zn8RwZIgCIIg3ARJkrgQuYv9X2yguqIcmUxOj3GTGDhtBkrzG1tW6naV7vyd6gsXkNvY4PrMM9jfd6/Bu/uamqSViD6cxeEf4qmpVCOTQbeRPvSZGIDSvHWFJ62rNoIgCILQihVmprN73RrSLp0HwMU/kDELFuEeZPgWHW1lJXJL3XJZzo8/hrayEqcF8zF1dTV42U2tMKuCyC0xZMWXAODia8OwB0Nx9bNt4Zo1TARLgiAIgvAPNGoVx3/+nmM/bEWjVmOiNGPAvQ8QMWEKcoVhZ2ip8/PJeettalNS8N/6DTKFArm5Oe4vvWjQcg1Bo9IStTOZqN9T0KolTJRy+t4ZSLfh3sgVrbdlTARLgiAIgnAdGTGX2LVuNQXpuuS7/uERjJr7GHau7gYtV5IkSrZtI+edd9GWlIBcTtWpU1j27m3Qcg0l83IRkVtiKcrWJTb26+LEkOkh2Do3T9fl7RDBkiAIgiA0oLqinANbNnFuz04ALO3sGT5zPqEDhhg8wWNNYhLZK1ZQeeIEAGadwvB49TUsunQ2aLmGUF2h4sgP8Vw6lAWAha2SwfcF0yHC1WgSZYpgSWjQsGHDCA8PZ1VdqnxDnSMIgtDaSJJE3NGD7N30KRXFRQB0GT6GITNmY2FtY9iyVSryP/2UgrWfIKlUyCwscFm0CMeHH0JmYlwf2ZIkEX8ylwPfxlFVpgKg02BP+k8JwtzKuNamM65XXhBakEqlwlQsPikIbVppXi57NnxM4ildi46Dpzdj5i/Eu1MzLbUhl1O+bz+SSoXVkMG4L1+B0turecpuQqX5Vez7OpbUi4UAOLhbMmxGRzw72LdsxW5R6x1N1cZpKysbf9TU3Pix1dU3dOzNmDVrFvv27ePDDz9EJpMhk8lITk5m37599OnTBzMzMzw8PFi2bBlqtfq65zTE39+fN998kzlz5mBjY4Ovry+ffvppvWPOnz/PiBEjsLCwwMnJiQULFlBeXl6vjlOmTOHdd9/Fw8MDJycnnnjiCVQq3beXyMhIfT2ufly9eO/PP/9Mz549MTc3JzAwkFdeeUV/PwAymYyPP/6YO++8EysrK9544w0APv74Y4KCglAqlYSGhvLFF1/c1OsrCELro9VoOLn9RzY+8xiJp06gMDGh/z0P8PC//2PwQElTUqL/Wy5TKPB47VW83n8Pn08+MbpASavRcvqPVL5+5RipFwuRm8joMymAaS/2MdpACUTLUouJ7RnR6D6roUPw/eQT/fO4gYOQqqoaPNayd2/8vvhc/zx+5Cg0RUXXHBcWE33Ddfvwww+Ji4ujS5cuvPrqqwBoNBrGjx/PrFmz+Pzzz4mJiWH+/PmYm5uzcuXKBs9xcXFptIz33nuP1157jRdeeIHvv/+exx57jKFDhxIaGkpFRQVjx46lf//+nDhxgtzcXObNm8fChQvZtGmT/hp79+7Fw8ODvXv3Eh8fz7Rp0wgPD2f+/PkMGDCArKws/bHR0dGMHz+eIUOGAHDgwAEefvhhPvroIwYPHkxCQgILFiwAYMWKFfrzVq5cydtvv82qVaswMTHhxx9/5KmnnmLVqlWMGjWK7du3M3v2bLy9vRk+fPgNv8aCILQeOYnx/PHpf8hNSgDAO6wLo+Y/gZOXj0HLlSSJ0h07yHnrbezvugvXZxYDYB4ainloqEHLNoSc5FIit8SQn6b7YusVYs/QB0JxcLdq4ZrdPhEsCdews7NDqVRiaWmJu7tutseLL76Ij48Pq1evRiaT0bFjRzIzM1m6dCnLly9v8JzrGT9+PI8//jgAS5cu5YMPPmDv3r2Ehoby1VdfUV1dzeeff46Vle4/2erVq5k0aRL/+te/cHNzA8DBwYHVq1ejUCjo2LEjEyZMYM+ePcyfPx+lUqmvR0FBAfPmzWPOnDnMmTMHgFdeeYVly5Yxc+ZMAAIDA3nttdd47rnn6gVLDzzwALNnz9Y/v//++5k1a5a+7osXL+bo0aO8++67IlgSBCNTW13F4W+/5NSO/yFJWsysrBg6Yy5dho0yeILH2vQMsl99hYr9BwAo37cPl0ULkSmVBi3XEGqr1Rz7JZHze9ORJDCzMmHg3R3o2N/DaAZw/xMRLLWQ0FNRje/8W86OkEMHGz/2b/+hO+zZfTvValR0dDT9+/ev98YfOHAg5eXlpKen4+vre1PX69atm/53mUyGu7s7ubm5+rK6d++uD5SulKXVaomNjdUHS507d0Zx1Wvl4eHB+fPn65WjUqm4++678fPz48MPP9RvP3v2LIcOHdJ3rYGu9ay6uprKykos6xK/9erV65rX4UoL1NV1u/ragiC0fomnTrB7/X8py88DoOPAoQx7eB5W9g4GLVdSqync/Dl5q1cjVVUhMzXF6dFHcJo/3ygDpaSzeez/Jo7yIt3wkZA+bgy8JxhLW+O7l+sRwVILuZKFtSWPbUl/Hygtk8nQarVNfo3HHnuMtLQ0jh8/jslVM0nKy8t55ZVXmDp16jXXNTc31/9+dcAmCILxKy8qZO+mT4k7qvsSauvixqh5jxMQ3vjQiKZSEx9PxnPPUXNJNyzCsndv3F95BbPAAIOX3dQqims4sDWOhNO6YNPW2ZyhD4Ti28mwiwe3FBEsCQ1SKpVoNBr987CwMLZt24YkSfrWpUOHDmFjY4O3t3eD59yqsLAwNm3aREVFhT5YOXToEHK5nNCb6Md///33+fbbbzl8+DBOTvX/A/fs2ZPY2Fg6dOhw03U7dOiQvvvuSt06dep0U9cRBKF5SVot5/b8zoGvNlFTWYFMLidiwhQG3PMApld9QTIkuZUVquQU5HZ2uD23BLupU42um0rSSlw8kMGRHxOordYgk8voMdqXXhP8MVUaNpN5SxLBktAgf39/jh07RnJyMtbW1jz++OOsWrWKRYsWsXDhQmJjY1mxYgWLFy9GXtcV+PdzHB0d9ftuxoMPPsiKFSuYOXMmK1euJC8vj0WLFvHQQw/pu+D+ye7du3nuuedYs2YNzs7OZGdnA2BhYYGdnR3Lly9n4sSJ+Pr6cs899yCXyzl79iwXLlzg9ddfb/S6S5Ys4b777qNHjx6MGjWK//3vf/zwww/s3m2Y7k9BEG5ffloKu9atITP2EgBugcGMeWQRrv6BBi+7Ojoa87AwAEw9PPD68EPMO4Vh4mR8LTAFGeVEbokhO7EUALcAW4Y92BFnb+sWrpnhidQBQoOeffZZFAoFnTp1wsXFBZVKxY4dOzh+/Djdu3fn0UcfZe7cubz00kuNnpOaWrc0gL8/K1euvOGyLS0t+f333yksLKR3797cc889jBw5ktWrV9/wNQ4ePIhGo+HRRx/Fw8ND/3jqqacAGDt2LNu3b+ePP/6gd+/e9OvXjw8++AA/P7/rXnfKlCl8+OGHvPvuu3Tu3JlPPvmEjRs3MmzYsBuumyAIzUNdW8uhrV/wxdKnyIy9hKm5BcNnzueBN941eKCkyskl/amnSbprKhVHjui3Ww8eZHSBkrpWw9GfEvj2jRNkJ5Ziaq5g8LQQpi6JaBeBEoBMkiSppSthzEpLS7Gzs6OkpARb2/qrJVdXV5OUlERAQEC9cTDtSWVlJU5OTvz222/tNqAQ7wNBaH6pF86x+7M1FGVlABDUqy8jZj+KrXPjKU2agqTVUrx1K7nvvY+2vBwUClyXPIvTVTnejElaTCH7tsRSkqdLXxMY7sLgacFYOxj/37LrfX7/neiGEwxq7969jBgxot0GSoIgNK+qslL2fbGBi/t0XeNWDo6MnP0oHfr0N/j4oOq4OLJXrKTq9GkAzLt2xeO1VzHv2NGg5RpCVXkth76PJ/aobgiDlb0ZQ6aHEBhu2GCztRLBkmBQEyZMYMKECS1dDUEQ2jhJkog+GEnk5nVUlZWCTEb30eMZfP/DmFkaflZrwcZN5L73HqjVyC0tcfm//8PhgfuRKYxr0LMkScQezebQ9/FUV6hABl2HetNvciBKi/YbMrTfOxcEQRDahOLsLHav/y8p53QtOk7evox5ZBGeIWHNVgdTD3dQq7EeMQL3l1/C1MOj2cpuKsU5lez7Opb0GN0qEE5eVgyb0RH3ALsWrlnLE8GSIAiCYJQ0ajUnt//I0e+/Rq2qRWFqSv+776fXpLtQmBh20Wt1URG1SUlY9uwJgM3Ysfh9+QUWERFGlw5Ao9ZyelcqJ39NRqPWojCV03uCP+GjfVEoxDwwEMGSIAiCYISyLsfyx6f/IT81GQDfLt0YNe8JHDwMu/CsJEmU/vILOW//C4DAHb9i4uCATCbD8m8Z/41BdmIJe7+MoTCzAgCfMAeGPhCKnYtxJDhuLiJYEgRBEIxGTWUlB7/ZzJk/doAkYW5jy7CH5tJpyAiDt+jUpqaSvXIlFYd1qQDMgoPRFBVh4mDYJVIMoaZKzdEfE7hwIAMkMLc2ZdC9wYT0cTO6lrHmIIIlQRAEwShcPnGEPzespbywAIBOg4cz9OF5WNoadkyNpFJRsGEj+f/9L1JNDTIzM5wffxyn2bOMbj03SZJIPJ3H/q1xVJbUAtCxvzsD7w7G3NqwXZfGrF0FS3fddReRkZGMHDmS77//Xr/d398fW1tb5HI5Dg4O7N27twVrKQiCIFytrDCfPzd8QvwJXYuOvZsHo+Y9gV+3cIOXra2uJnnadGpiYwGwGtAf95UrUd7k4uGtQVlhNfu/iSP5XD4Adq4WDHsgFO+Oji1cs9avXQVLTz31FHPmzGHz5s3X7Dt8+DDW1u0jE6kgCIIx0Go1nP1jBwe/+ZzaqirkCgW977ybvlOnYao0a5Y6yM3NsejWDXVuLm7LlmJ7551G102l1Uqc35vOsV8SUdVokCtk9BzrR8Q4P0xMjSu1QUtpV8HSsGHDiIyMbOlqCIIgCP8gLyWJXZ+uJite16LjERzK6AWLcPH1N3jZpbt2YR4WhrJukXDXJc/isvj/jHJsUl5aGZFfxpCbUgaAe6Adw2aE4uQpGgduhtHMCdy/fz+TJk3C09MTmUzGTz/9dM0xa9aswd/fH3Nzc/r27cvx48dv6NoymYyhQ4fSu3dvtmzZ0sQ1N0438noLgiA0NVVNNfu/2sSXzz9NVnwsSgtLRs59nPtffcfggZIqO5u0JxaSsehJsle+wpXVwBS2tkYXKKlqNBzeFs93b50kN6UMpYUJQx8IZeqzPUWgdAuMpmWpoqKC7t27M2fOHKZOnXrN/q1bt7J48WLWrl1L3759WbVqFWPHjiU2NhZXV9frXvvgwYN4eXmRlZXFqFGj6Nq1K926dWvw2JqaGmpqavTPS0tLb+/GWql/er3bitraWpRGNkBTENqq5HOn2f3ZGkpydEtsBPcdwIhZj2DtaNiFZyWNhqItX5G3ahXaykowMcG8S2fQaMDEaD4m9VIuFrDvq1jKCqoB6BDhyqD7grGya56uy7bIaFqWxo0bx+uvv85dd93V4P7333+f+fPnM3v2bDp16sTatWuxtLRkw4YN/3htLy9dXg4PDw/Gjx/PqVOnGj32rbfews7OTv/w8fG5qfuQJAlVjaZFHjezZvI/vd5/t3LlSsLDw/niiy/w9/fHzs6O6dOnU1ZWpj+mpqaGJ598EldXV8zNzRk0aBAnTpzQ74+MjEQmk7Fnzx569eqFpaUlAwYMILZuYCXoBuPLZLJrHlekpaVx3333YW9vj6OjI5MnTyY5OVm/f9asWUyZMoU33ngDT09PQkNDATh//jwjRozAwsICJycnFixYQHl5+Q2/XoIg3LrK0hJ2rH6PbW+8TElONtZOzkxe8jJ3Ln7B4IFSdUwMydPvJ+fNN9FWVmLRoweBP/6A69NPIzOyQKmytJY/1l9k+3/OUlZQjbWjGRMe78bY+V1EoHSbjOud0Ija2lqioqJ4/vnn9dvkcjmjRo3iyJEj1z23oqICrVaLjY0N5eXl/Pnnn9x3332NHv/888+zePFi/fPS0tKbCpjUtVo+fWrfDR/flBZ8OBRTM8MN5ktISOCnn35i+/btFBUVcd999/H222/zxhtvAPDcc8+xbds2Nm/ejJ+fH//+978ZO3Ys8fHxODr+NRvjxRdf5L333sPFxYVHH32UOXPmcOjQIQBOnDiBRqMBQKPRcM8992BqqpvuqlKpGDt2LP379+fAgQOYmJjw+uuvc8cdd3Du3Dl9C9KePXuwtbVl165dgO49cOW8EydOkJuby7x581i4cCGbNm0y2OslCO2dJElcjNzNvi83UF1eBjIZPe+YxMBpM1BaGD4pYvmhQ6QteAQ0GuTW1rg++wz2992HTG407QhA3bp4h7M4vC2emko1Mhl0G+FDn0kBKM3bxMd8i2sTr2J+fj4ajQY3N7d6293c3IiJidE/HzVqFGfPnqWiogJvb2++++473Nzc9K0nGo2G+fPn07t370bLMjMzw8xMROgN0Wq1bNq0CRsbGwAeeugh9uzZwxtvvEFFRQUff/wxmzZtYty4cQCsW7eOXbt2sX79epYsWaK/zhtvvMHQoUMBWLZsGRMmTKC6uhpzc3NcXP5a8fqpp54iKytL3zq1detWtFotn332mb61aePGjdjb2xMZGcmYMWMAsLKy4rPPPtMHT+vWraO6uprPP/8cKyvdgpurV69m0qRJ/Otf/7rmfSUIwu0rzMxg97rVpF06D4CLXwBjFizCvUNIs9XBslcvlD4+mIWG4vbCC5i6XX/IRmtUlF1B5JZYMi8XA+DsY83wGR1x9bNt2Yq1MW0iWLpRu3fvbnD72bNnm60OJko5Cz4c2mzl/b1sQ/L399cHSqDr1szNzQV0rU4qlYqBAwfq95uamtKnTx+io6PrXefq8WIedYtR5ubm4ntVXpNPP/2U9evXc/jwYX0AdfbsWeLj4+vVAaC6upqEhAT9865du9YbpxQdHU337t31gRLAwIED0Wq1xMbGimBJEJqQRq3i+M/fc+zHb9GoVJgozRhw7wP0HD8ZhYG7vdQFBRR+/gUuixYiMzFBbmaG/9ZvUNgZ30KxGpWWqJ3JRP2eglYtYaKU0/fOQLoN90Yu1nNrcm0iWHJ2dkahUJCTk1Nve05ODu7u7i1Uq4bJZDKDdoW1pCvdYVfIZDK0Wu1tXedKC9HV19m7dy+LFi3i66+/rhdYlZeXExER0eCMxqtbpK4OigRBaD4ZMZfYtW41BempAPiHRzBq7mPYuRr277QkSZRs20bOO++iLSlBYWeH05zZAEYZKGVeLiJySyxF2ZUA+HVxYsj0EGydLVq4Zm1XmwiWlEolERER7NmzhylTpgC6D9c9e/awcOHClq2cAEBQUBBKpZJDhw7h5+cH6MYYnThxgqeffvqGrxMfH88999zDCy+8cM0svZ49e7J161ZcXV2xtb3xJuiwsDA2bdpERUWFPpA6dOgQcrlcPwBcEIRbV11RzoEtmzi3ZycAlnb2DJs5n44Dhhg8wWNNYhLZK1ZQWdddb9YpDMvrDLVozaorVBz5IZ5Lh7IAsLBVMvi+YDpEuBpdokxjYzTBUnl5OfHx8frnSUlJnDlzBkdHR3x9fVm8eDEzZ86kV69e9OnTh1WrVlFRUcHs2bNbsNbG659e75tlZWXFY489xpIlS/TX+Pe//01lZSVz5869oWtUVVUxadIkevTowYIFC8jOztbvc3d358EHH+Sdd95h8uTJvPrqq3h7e5OSksIPP/zAc889h3ddgrm/e/DBB1mxYgUzZ85k5cqV5OXlsWjRIh566CHRBScIt0GSJOKOHmTvpk+pKC4CoOuIMQx+cDYW1jb/cPbt0dbWUrBuHQVrP0FSqZBZWOCyaBGODz9kdLPcJEki/mQuB76No6pMBUCnwZ70nxKEuZVYz605GM075uTJkwwfPlz//MqMtJkzZ7Jp0yamTZtGXl4ey5cvJzs7m/DwcHbu3Ck+7G7RP73eK1euZNOmTfWm5f+Tt99+G61Wy0MPPURZWRm9evXi999/x+EGk73l5OQQExNDTEwMnp6e9fZJkoSlpSX79+9n6dKlTJ06lbKyMry8vBg5cuR1W5osLS35/fffeeqpp+jduzeWlpbcfffdvP/++zd8b4Ig1Feal8ueDR+TeErXouPg6c2Y+Qvx7tSlWcrPXr6CkrpkulZDBuO+fAVKb69mKbspleZXse/rWFIvFgLg4G7JsBkd8exg37IVa2dk0s0k3xGuUVpaip2dHSUlJdd8IFdXV5OUlERAQADm5uYtVEPDmDlzJjKZTEytvwFt+X0gCH+n1Wg49dsvHPr2S9Q1NShMTOgz5T76TLkXE9PmawWpuXyZ1PkLcF3yLLbjxxtdN5VWo+XMnjRO/C8JtUqL3ERGr3H+9Bzjh8JUDOBuCtf7/P47o2lZEloPSZKIjIzk4MGDLV0VQRBakZzEeP749D/kJulmn3qHdWHU/Cdw8rq55L03S5Ikyn77jdrUNJwffQQAs+BgOuz6A1kzBmhNJSe5lL1fxlCQrkuM6xViz9AHQnFwF5NTWooIloSbJpPJSElJaelqCILQStRWV3Fo65ec/u1/SJIWMysrhs6YS5dhowye4FGVkUHWq69SsW8/yOVYDx2CeVgYgNEFSrXVao79nMi5yHSQwMzKhIF3d6Bjfw+jaxlra0SwJAiCINyyhKjj7NnwMWX5eQB0HDiUYQ/Pw8resAvPSmo1hV98Sd5HHyFVVSEzNcXpkUdQBgUZtFxDSTqbx/5v4igv0q09GtLHjYH3BGNpK9aubA1EsCQIgiDctPKiQvZu+pS4o7rueFsXN0bNe5yA8AiDl1114SLZy5dTfekSoMvE7f7qK5gFBhq87KZWXlTDgW/jSDytCzZtnc0Z+kAovp0MuyaecHNEsCQIgiDcMEmr5dyenRz4ajM1lRXI5HIiJkxhwD0PYNoMExi0lZWkzp2LtqQEuZ0dbkuexW7qVONbz00rcWF/Bkd/SqC2WoNcLiN8tC+9JvhjqmybiYuNmQiWBEEQhBuSn5bCrk9XkxmnW6LIPSiY0QsW4erffC06cktLXJ56kqpTp3FbthQTZ+dmK7upFGSUs/fLGHKSSgFwC7Bl2IMdcfa2buGaCY0RwZIgCIJwXeraWo7+sJUTv2xDq1Fjam7BoOkPET52AnK5YVtBVLm55Lz5FvZ3T8V68GAAHO6/H8cHHjBouYagrtVwYkcyZ/5IRauVMDVX0H9KEJ2HeCGXiwHcrZkIlgRBEIRGpV44y651qynO1i2xEdSrLyNmP4qts8s/nHl7JK2W4m+/Jfe999GWlVETHY3Vjl+RKRRGOTMsLbqQyK9iKc2rAiAw3IXB00KwdjBr4ZoJN0IES4IgCMI1KktL2P/lBi7u2wOAtYMjI2Y/Soc+/Q2/ntvly2QtX0HV6dMAmHftiserryBTGN9YnqqyWg5+f5m4Y7qF3q3szRgyPYTAcMMGm0LTEsGSIAiCoCdJEpf2/0nkF+upLisFmYzwMeMZNP1hzCwNmxRRW1ND/tq1FHy2HlQq3fikp5/G4cEHjC5QkiSJmCPZHNp2mZoKNcig6zBv+t0ZiNJCfPQaG/EvJjTorbfe4ocffiAmJgYLCwsGDBjAv/71L0JDQ1u6aoIgGEhRdia7160h9cJZAJx9/Bi9YBGeIR2bpfyKI0co+HgtANYjRuD+8kuYeng0S9lNqTinksivYsiILQbAydua4Q92xC3g+ktqCK2XCJaEBu3bt48nnniC3r17o1areeGFFxgzZgyXLl3Cyqptpdyvra1FqRSJ34T2S6NWcfJ/P3J02zeoVbWYmCrpd/d0ek2aisLEsB8Tklarn/ZvM2wY9tOnYTVgADajRxvd2CSNWsvpP1I4uSMFjVqLiamc3hMD6D7KB4XCuFIbCPWJf71mJkkSqurqFnnczJrJO3fuZNasWXTu3Jnu3buzadMmUlNTiYqKavScWbNmMWXKFN599108PDxwcnLiiSeeQKVS6Y8pKiri4YcfxsHBAUtLS8aNG8fly5f1+zdt2oS9vT2///47YWFhWFtbc8cdd5CVlaU/RiaTXfPw9/fX779w4QLjxo3D2toaNzc3HnroIfLz8/X7hw0bxsKFC3n66adxdnZm7NixgC5A7NOnD2ZmZnh4eLBs2TLUavUNv2aCYIwy46L5ctnTHPzmc9SqWny7hjPz3TX0ves+gwZKkiRR8vPPJE6YiLqwUL/dY+VKbMeMMbpAKSu+mK1vnODYL0lo1Fp8OzkyfXlfeo71E4FSGyBalpqZuqaGj2be0yJlP7n5+1tOGldSUgKAo6PjdY/bu3cvHh4e7N27l/j4eKZNm0Z4eDjz588HdAHV5cuX+eWXX7C1tWXp0qWMHz+eS5cuYVq3jlNlZSXvvvsuX3zxBXK5nBkzZvDss8+yZcsWgHqBU0VFBXfccQf9+/cHoLi4mBEjRjBv3jw++OADqqqqWLp0Kffddx9//vmn/rzNmzfz2GOPcejQIQAyMjIYP348s2bN4vPPPycmJob58+djbm7OypUrb+k1E4TWrKayggNfbebs7t9AkrCwsWXYzPmEDRpm8EClNjWV7JUrqTh8BIDCjZtwfWaxQcs0lJpKFYd/TODSgUwALGxMGXRfMMG93Iwu4BMaJ4Il4R9ptVqefvppBg4cSJcuXa57rIODA6tXr0ahUNCxY0cmTJjAnj17mD9/vj5IOnToEAMGDABgy5Yt+Pj48NNPP3HvvfcCoFKpWLt2LUF1azwtXLiQV199VV+Gu7s7oPtmevfdd2NnZ8cnn3wCwOrVq+nRowdvvvmm/vgNGzbg4+NDXFwcISEhAAQHB/Pvf/9bf8yLL76Ij48Pq1evRiaT0bFjRzIzM1m6dCnLly9HbmTZgQWhMZIkcfnYIf7c9CkVRboWnc5DRzH0oTlY2Bh2TI2kUlGwcRP5a9Yg1dQgMzPD+fHHcZoz26DlGoIkScRH5XLg28tUldYCEDbQgwFTO2BuZVwL+Ar/TARLzczEzIwnN3/fYmXfiieeeIILFy5w8ODBfzy2c+fOKK6ateLh4cH58+cBiI6OxsTEhL59++r3Ozk5ERoaSnR0tH6bpaWlPlC6co3c3NxrynrhhRc4cuQIJ0+exMLCAoCzZ8+yd+9erK2vzYSbkJCgD5YiIuqvXxUdHU3//vWnRA8cOJDy8nLS09Px9fX9x3sXhNauND+XPRvWkhh1HAAHD09GzVuIb5duBi+76swZspavoCYuDgDL/v3wWLkSpZ+fwctuaqUFVez/Oo6UCwUA2LtZMnxGKJ7Bhl08WGg5IlhqZjKZrFnWT2oqCxcuZPv27ezfvx9vb+9/PP5KV9oVMpkMrVZ7U2U2dI2/j7f68ssv+eCDD4iMjMTLy0u/vby8nEmTJvGvf/3rmut6XDWrpq0NUheE69FqNZz+bTuHtn6BqqYaucKEPlPuoe+U+zBppskNxT//TE1cHAoHB9yWLcX2zjuNrptKq9Fy9s90jv8vEXWtFrmJjIg7/IkY64fCVLQ+t2UiWBIaJEkSixYt4scffyQyMpKAgIDbvmZYWBhqtZpjx47pu+EKCgqIjY2lU6dON3ydI0eOMG/ePD755BP69etXb1/Pnj3Ztm0b/v7+mNzE4NSwsDC2bduGJEn6P+CHDh3CxsbmhoJEQWitchLj2bVuNTmJ8QB4dezE6PkLcfI2fGuptrISuaUlAK6LFyMzMcX58ccwcTC+FpjclFL2fhlDflo5AJ7B9gx7MBQHd/HFqz0QobDQoCeeeIIvv/ySr776ChsbG7Kzs8nOzqaqquqWrxkcHMzkyZOZP38+Bw8e5OzZs8yYMQMvLy8mT558Q9fIzs7mrrvuYvr06YwdO1Zfr7y8PH29CwsLuf/++zlx4gQJCQn8/vvvzJ49G41G0+h1H3/8cdLS0li0aBExMTH8/PPPrFixgsWLF4vxSoJRqq2uIvLzz9jywmJyEuMxs7Ji9IKFTFvxtsEDJVV2NmlPLCTt8Sf0rcIKGxvcX3zB6AKl2mo1B7+9zPdvnyQ/rRwzSxOGP9SRKf/XQwRK7YhoWRIa9PHHHwO6afZX27hxI7NmzQJ0M9uSk5OJjIy84etu3LiRp556iokTJ1JbW8uQIUPYsWPHNV1vjYmJiSEnJ4fNmzezefNm/XY/Pz+Sk5Px9PTk0KFDLF26lDFjxlBTU4Ofnx933HHHdYMeLy8vduzYwZIlS+jevTuOjo7MnTuXl1566YbvTRBai8RTJ9i9/r+U5eu+RIT2H8zwWQuwsjdsoCJpNBR99TV5H3yAtrISTEyoiYnBPCzMoOUaStLZPPZ/E0d5UQ0Awb3dGHRvMJa2Ii9beyOTbib5jnCN0tJS7OzsKCkpwda2/kyS6upqkpKSCAgIwNyIxindqKFDhzJ8+HAxtf4ftPX3gdB6lBcVsnfTp8Qd1U3GsHVxZeTcxwjs0dvgZVfHxJC1fAXV584BYNGjBx6vvoJZcLDBy25q5UU1HPg2jsTTumDT1tmcofeH4tvZqYVrJjSl631+/51oWRJuSUlJCQkJCfz6668tXRVBaPckrZZze3Zy4KvN1FRWIJPLiZgwhQH3PGDwCSXamhryPvqIwk2bQaNBbm2N67PPYH/fffrM3MZCq5W4uD+Doz8lUFutQSaX0WO0D70mBGCqNK616YSmJYIl4ZbY2dmRnp7e0tUQhHYvPzWZXevWkBmnS7/hHhTM6AWLcPUPbJbyZTIZ5fv2gUaDzdixuL3wAqZurs1SdlPKTy8ncksMOUmlALgF2DLswY44e1+bhkRof0SwJAiCYIRUtTUc+2ErJ37ZhlajwdTcgkHTHyJ87ATkcsO2gqgLClDY2iIzNUWmVOL5xhuoCwuxGT7coOUagqpWw8lfkzizKw2tVsLUXEH/KUF0HuKFXG5cqQ0EwxHBkiAIgpFJOXeG3Z+toThHt/RPh979GDH7UWycnA1ariRJlGzbRs477+I0dy7OC3TLGFl0727Qcg0l9VIB+76KpTS/GoDAHi4Mvi8Ea4dbS+ArtF0iWGoGN5uUUWhbxL+/0FQqS0uI/Pwzog/sBcDa0YkRcx4luHd/g5ddk5hI9vIVVJ48CUD53r04zZtrdOOSACpLazn43WUun8gBwNrBjCHTQwjo7tLCNRNaKxEsGZBSqUQul5OZmYmLiwtKpdLoMtYKt06SJGpra8nLy0Mul6NspkzJQtsjSRIXI3ez78sNVJeXgUxGj7ETGTjtIczqkj4aira2loJP11HwySdIKhUyCwtcnnwSx4dmGF2gJGklog9ncfiHeGoq1chk0G24D33uDEBpLj4OhcaJd4cByeVyAgICyMrKIjMzs6WrI7QQS0tLfH19RXJL4ZYUZqaze90a0i7p1lh08Qtg9IKFeHQINXjZVRcukvncc9QmJgJgNXQI7i8vR+nt9Q9ntj6FWRVEbokhK74EAGcfa4bP6Iirn2EXDxbaBhEsGZhSqcTX1xe1Wn3dDNJC26RQKDAxMREtisJNU6tUHP/pO47/9C0atRoTpRkD7n2AnuMno7iJpXxuh9zSElVaGgpnZ9xfeB6bceOM7r2sVmmI+i2FU7+noNVImCjl9L0zkG7DvZErxBcY4caIYKkZyGQyTE1NbzhLtSAI7VvapfPsWreGokxdeo6A8AhGzn0cO1c3g5YrSRLVly5h0bkzAGaBAXj95yMse/RAYWdn0LINIT2mkMivYinJ1S3T5NfViSHTQ7B1smjhmgnGRgRLgiAIrURVWSn7vtzAxcjdAFja2TNi9iOE9Btk8Bad2vR0sl95lYqDB/Hf+g0W3boBYPO3JY+MQVV5LYe+jyf2aDYAlnZKBt8XQlBPF6NrGRNaBxEsAR988AGfffYZkiQxatQoPvzwQ/EfShCEZiNJEtEH9hL5+WdUlemSInYbdQeDH5iFuZVhkyJKKhWFn39O3n9WI1VXIzM1pebyZX2wZEwkSSLmSDaHt8VTXaECGXQZ7EW/u4IwsxAfd8Kta/fvnry8PFavXs3FixcxNTVlyJAhHD16lP79DT8VVxAEoSgrg92f/ZfUC2cBcPbxY9T8hXiFGn7x2apz58havoKamBgALPv0wf2VlZgFBBi87KZWlF3Bvq9iyYgrBsDJy5phD4biHmh83YdC69PugyUAtVpNdbUuKZlKpcLV1fhS9QuCYFzUKhUnfvmeYz9+i0alwsRUSb977qfXxLuaZQB37ocfUrD2E5AkFHZ2uC5dit1dU4yuVV2j0hL1ewpRO5PRqiVMTOX0nhRA95E+KMQAbqGJGP07af/+/UyaNAlPT09kMhk//fTTNcesWbMGf39/zM3N6du3L8ePH9fvc3Fx4dlnn8XX1xdPT09GjRpFUFBQM96BIAjtTfqlC3yx9EkOf7sFjUqFX7cezHx3DX2n3NtsM91MPTxAkrCbfCeBv+3AfupdRhcoZcQW8c3rxzmxPQmtWsK3syP3r+hLzzF+IlASmpTRtyxVVFTQvXt35syZw9SpU6/Zv3XrVhYvXszatWvp27cvq1atYuzYscTGxuLq6kpRURHbt28nOTkZCwsLxo0bx/79+xkyZEgL3I0gCG1ZVVkp+7ds4sLePwDdAO7hM+cTOmCIwQMVVU4O6uxs/dIk9vfcg1lwMJY9ehi0XEOoKq/l8LZ4Yo7UDeC2VTLovmA6RLgaXcAnGAejD5bGjRvHuHHjGt3//vvvM3/+fGbPng3A2rVr+fXXX9mwYQPLli1j9+7ddOjQAUdHRwAmTJjA0aNHGw2WampqqKmp0T8vLS1twrsRBKEtkiSJS/v/ZN8X6/8awD2ybgC3tYEHcGs0FH39DXkffIDc1pag7f9DbmWFTC43ukCpwQHcQ7zoNzkQM0uRmkUwHKMPlq6ntraWqKgonn/+ef02uVzOqFGjOHLkCAA+Pj4cPnyY6upqTE1NiYyMZMGCBY1e86233uKVV14xeN0FQWgbCjMz2LN+DakXzgHg5O3L6PkL8erYyeBlV8fGkrV8OdVndWWbdeiAprgYuZWVwctuakXZFURuiSXzcjEATl5WDHuwoxjALTSLNh0s5efno9FocHOrn8jNzc2NmLrZH/369WP8+PH06NEDuVzOyJEjufPOOxu95vPPP8/ixYv1z0tLS/Hx8THMDQiCYLTUtbUc//n7ehm4+909nV4Tp6AwMWwriLaqivw1ayjYuAk0GuTW1rgs/j8cpk83uvXcGsrA3XuiGMAtNK82HSzdqDfeeIM33njjho41MzPDzMzMwDUSBMGYpV44x+7P1lCUlQGAf3gEI+c8hr2bu8HL1hQXk3TPvajSddm/bcaMwe3FFzF1M75ZvmnRhez7KpaSvLoM3F3qMnA7iwzcQvNq08GSs7MzCoWCnJycettzcnJwdzf8Hy1BENqXytIS9n2xnkv7/wTAyt6BYTPnE9p/cLMNPFbY22PepQuSRoP7yy9jM2J4s5TblCpLazn0/WXijuv+dlvZKRkkMnALLahNB0tKpZKIiAj27NnDlClTANBqtezZs4eFCxe2bOUEQWgzJK2WC5G72b9lI9XlZSCT0X30eAbf/zBmloYdHyRptZT8+CPWQ4Zg4uICgPuK5chMlSisjWtskqSVuHQokyM/JlBTqQYZdB3mTb87A1GKDNxCCzL6d195eTnx8fH650lJSZw5cwZHR0d8fX1ZvHgxM2fOpFevXvTp04dVq1ZRUVGhnx0nCIJwO/JTk9n12X/JjL0EgItfAKPnL8QjONTgZdckJJC1YgVVJ6OwHT8Or/ffB8DEwcHgZTe1/PRy9n0VQ3aibrags481wx7siJu/bQvXTBDaQLB08uRJhg//q5n5yuDrmTNnsmnTJqZNm0ZeXh7Lly8nOzub8PBwdu7cec2gb0EQhJuhqq7myLavifr1J7QaDaZm5gycNoMed0xCrlAYtGxtTQ0Fn3xK/rp1oFIhs7DAvGs3JEkyum6q2mo1J35N5uyeNCSthKmZgr53BtJ1mBdyMYBbaCVkkiRJLV0JY1ZaWoqdnR0lJSXY2opvQILQHiREHePPjZ9QmpcLQIfe/Rk+awG2zi4GL7vi6DGyV66kNjkZAOuhQ3Ff/jKmXl4GL7upJZ7J48DWOMqLdLnrgnq4MOi+EKwdxCQawfBu5vPb6FuWBEEQmktpfi57N31K/ImjANg4uzByzqMERfRtlvJL/redzCVLADBxccHtxRexGTvG6FqTSguqOLD1Msnn8gGwcTJnyPQQ/Ls6t3DNhNZGq9WSXJyJTKEiwK7lFngWwZIgCMI/0KjVnPrtFw5/twV1TQ1yhYKIiXfRf+p0TM3Nm60e1sOHY+LpgfXQobguXozCxqbZym4KGo2Ws7vTOPFrEupaLXKFjPDRvvQa74+p0rBdl0LrVl5TTVZlGsmlySQWJ7I7/jyJJUnUyLKRyWvp69GXz8Z81mL1E8GSIAjCdaTHXGTPZ/8lPy0FAK+OnRg193Gcff0NXnZtcjJF332H6zPPIJPLUVhbEfjL/4xulhtA5uUiIr+KoyirAgDPYHuG3h+Ko6fx3Ytw69JLCjmcepGz2XFcLk4kqzKVUnUGGkUBMpm2/sEKkAFIcrSStqHLNZvbDpYuXbrEzz//jL29PZ07d6Zr1644GOFMDEEQhKtVlpawf8tGLkbuBsDcxpYhD86iy9BRBs+CLdXWUrB+Pfkfr0WqrcUsIAD7e+4BMLpAqbK0lsM/xBN7VLforbm1KQOmdqBjf3ej6z4Uboxao+FcTgrH02NQmueTUZFCYkkiF/PiqdIWX3uCiS4oMldYEuwQRIBdANZyT5RadyI8Q+ntHYyVsmXHsd12sHTnnXeyaNEiKioqWL9+PefPn6ekpISEhISmqJ8gCEKzkrRazu/9gwNbNlFdUQ5A1xFjGPzALCxsDD+JozIqiqwVK6iN1/0NtRo4EMs+fQxeblPTaiUuHczk6E9/5UzqPMiTflOCMLcSi962BTWaGk5lXGZf8kViC+JJK0+mSJVR13WmavQ8mdoeK7kHruY+BNgH0s0lmL4+YYS5eCFvpcvx3Haw5O7uzlNPPVVvm0ajud3LCoIgNLucxHj2rP+YrPhYQJczadS8x/EMCTN42ZqSEnLffZfi774HQOHkhNuyZdhOnGB0LTC5KaXs+yqW3JQyQJczaej9oWLRWyOVWpzH4dRozmVf5nJxAtbWheRUp5JRnnFt91hd15kkKTDRuNDVNZjeXh0JsAvAw9IXb2s/3G3sW+I2bsttB0sjR45k48aN9ZI8KgycY0QQBKEpVVeUc2jrF5z94zckSYvSwoIB986gxx0TDZ4z6YqM/1tMxeHDANjfew+uzzyDwt6+WcpuKtUVKo79nMiFAxkggdJcQZ87A+k6VORMau20kpasiiySSpI4khrNvqSL5NWkUillgaK8/sFVf/1qobBGW+uCk9IbXxt/wpw70MuzI728g7A0bTspIG47z9KECRO4cOECcrmc3r170717d7p168akSZOaqo6tmsizJAjGS9JquXRgL/u3bKSypBiAjgOHMnTGHKwdnZq1LlVnz5L10ku4r1iBZa9ezVr27ZK0EjFHszjyYwJVZbrul5A+bgy4uwNWdm3nA7MtKK6q4Fh6LKcy44gpiCe9IoUiVTqY5KGSaho9T6axx1rmiauFLwN9OzE0oDOB9oE4mTsZXcvnFTfz+X1TwVJKSgrnzp3Dzc2NPn/rQy8rK+PChQtcuHCBixcvsmrVqluqvLERwZIgGKfc5ET2bFirX6bE0dObkXMfw7dLd4OXLdXWUrBhIzITBU7z5v21Xas1+ODxppaXWsa+r2PJSdItU+LgYcXQ6SF4hYqJPi0ppSiXlNJk8mrSSCpJ4kxOLOdzL6ORFyKTNfyxbyo3xc/WD09LX4pKHAhxDKSHeygDfMNwsW57n28GCZa+/vprZs2ahUqlQiaT0aNHD3777TdcXAyfsbY1E8GSIBgXXZfbl5z9YweSpMXUzJx+d08nYsJkFCaGH3hceeoU2StWUHM5HplSSdBvO4wy+3Z1hYpjvyRycX8GkgQmZgp6T/Cn+0gfFKLLrVmoNRpOZyVxPD2ai3nxpJQlkVedThWZoKho/ESNBeZ46LvOOrkEM8gvjHCPIEzk7SejkEGCpY4dO9K/f3+ef/550tLSWLp0Kd27d2f9+vVNUmljJYIlQTAOklbLhX27OfDVZqpKSwAI6T+YYQ/NxcbJ8JmjNcXF5L73PsXffQeAwsEBt+eXYTtpklF1Y2i1EtGHMjn6cyLV5bout+Bergy4O1gsU2IgxVUVHEmL4XRWLJVSNjUy3diipJIkarW1jZ5nIXOih0cogXaB+Nn6U13pRD/vjoQ4e7baWWfNySDBklKpJC4uDn9/fwBiYmKIiIigouI60Ws7IIIlQWj9suJj+XPjJ2THxwG6LrcRcx7Fr2u4wcuWJInS7b+S8/bbaAoKALC7eyquzz6LiZHlpMtOKuHAN3H6WW4OHlYMmR6Ct+hyaxKF1YXE5Cfw88XTxBcnkl2VSrk2A428qNGuM0lSYKpxxd7UC08rP0IdO9DDPYT+vmE4WxlXhvfmZpC14dRqNZaWlvrnHTt2RKvVkp2djbu7+63XVhAEwUAqS4o58PXnXNj7BwBKCwv6330/PcZNapYuNwB1Tg5ZL72EVFODMigIj1dWGt0A7srSWo78lEDM4SygbpbbpEC6DPMSXW43qVat5nRmEicyormUH09yWRJqeQ5VZFFcU1z/YBl/ZbGu6zrztw1gQsdwAuwCCLQLxM3SA6VJ++k6ayk39Qpv3ryZgQMH0q1bN6ytrTExMaGystJQdRMEQbglGrWK0zu3c+T7r6mt0v2N6jRkBIMfmIW1g6PBy796oLapuzsuTz2FVFuD05w5yJRKg5ffVDRqLef+TOfEjiRU1br8eR37u9P/rg5Y2hrPfbSE8tpK0stTSSpJIqE4gR/On6ZIlYFKnoNMrm70PE8rT2qqnHAw9aaDQxBdXYPp7xNGkKNb++w6q62AgnjQqsErosWqccPB0uDBg3n99dcpKytDLpcTEBBAdXU169evZ9SoUfTq1QsbI1vUURCEtifp9En2fv4ZRZnpALgGBDFi9qN4hRo+sSRAxfHjZL/6Kh6vvoZlzx4AOM2Z/Q9ntS6SJJFyoYCD312mJFeXVMfVz4bB00JEYsmraLVaEgtzOJIWzbmcyySUJJJTlUqZJhNJUQR/7zqrW9ZD0ppgqtV1nXlb+dPZpQNTuvTEz9YPCxOLFrmXFiVJUJEH+XG6R17dz/zLUJKqO8Z/MMza3mJVvOk8S5cvXyYqKopTp07pH8XFxcjlcoKDg4mOjjZUXVslMWZJEFqHgow09n2xnqTTJwGwtLNn0P0PN8tabgDqoiJy//0OJT/+qCu/fz/8Nm40eLlNrTCzgkPbLpN6sRAAC1sl/acE0bGfOzK58QxEb0q1ajVRmfFE5ycgV+aRWJJIUkkSZ3PikOSN967YmdkRaBdIoF0gVRVOeFv70turIz09g9pn15lWA0XJfwVFVwdG1cWNn2fhCH4DYPqWJq2OQcYsXREcHExwcDDTp0/Xb0tKSuLkyZOcPn365msrCIJwG6rKSjn83Vec3bUDSatFrjCh5/g76Td1GmaWhl90VtJqKfnxR3L//Q6akhKQybCfdh+u//d/Bi+7KVWV13L8f0lcPJCJpJWQK2R0H+lDr3H+KC3axwd7paqSfUmXOJERQ1xhAhkVKRSrM1DJcpDJG1jGSw6SJEOuccRG4YmbuS8dHALp6hrMAN9OBDm5Nf9NtAa1FbpWofzLkB/7V1BUmACaxmbvycDBD5xDrn1YNW+C2AZrd7sZvNs70bIkCC1Do1Zx5vcdHNn2FTV1s3KDevVlyINzcPRsnrxFNZcvk/XKK1SdjALALDQU95UrsOzRo1nKbwoatZZze9M5uSOZ2irdWJqA7s4MmNoBezfLfzjb+Gi1WuILszmSGs353MtklKdgZ1dEUkkSmRWZjZ4naU1QSm4MD+xCkH0gAXYB2Cq86OQciIOldTPeQSshSVCee1Ur0ZXA6DKUpDV+nok5OAWDy5VgKBicQ8EpCEybtwvSoC1LgiAILUmSJC4fP8yBrzZRnK2bneXi68/Qh+c1SyqAq1VduEjVyShklpa4LFyI48MPITOS7hVJkoiPyuXoTwmU5lcDugVvB94T3CZSAai1ajLKM0gqSWJ79Bku5F2moCadarJAUVX/4Ksy4JjJbJCrXXE288HfNpBOLh3o6x1Gd3f/9tl1plFf23V25VFd0vh5ls51gVAIuIT+FRjZ+YIRDlRvh//ygiAYq4zYaPZ9uZ6suBhANy5p4LSH6DJ8FHJ58yx4q87Px8RZl8TSbspkVGmp2N9zD6aens1SflPIvFzMoW3x5CbrliixtFXSb0ogof08kBvZuKT8ilIOp0ZzOjuOy4UJpFekUKLOQGaaj0qrqn9w3VtEkmQoNI7YKLxwt/BlSucedHYNxt/WHwdz4w8Ub0lNORRcvmpwdV0rUUEC/P11vEImB/u6rjOXkLoWo7rAyNLws06b020FS3FxcQQGBmLSHqNtQRCaTUFGGoe++YLLxw8DYGJmRu9JU+k1aSpK8+ZpuldlZpL95ptUnz1H4G87UFhbI5PJcHnyyWYpvykUZlZw9OcEks7mA7olSnqO8SV8lC+mZs0TbN4KrVbL5YIsilUZpJQlk1iSyP6ki6RXJCMpiq89QQFowVxhrpthJvNApnIj1DGInh6hDPDriJ152+ti/Ef6rrPYv806i4PSjMbPM7EA5w667rIrgZFzCDgGgal589W/Bd1WlBMWFkZ0dDQhISFNVR9BEAS90vw8jnz/NRcjdyNJWmQyOV1GjGbAvQ82S74kAEmlovDzz8lb81+kykowMaHy+AlsRgxvlvKbQmlBFSe2JxF7NBtJAplcRqdBnvSe4I+VXetZoqRaVcvJjAROZEQTXZBASmkSBbXp1JB9bdcZ6FuK0FhjgQfOZt742wbQ2TWYMR26EeTojVxmfF0+t02j+qvrLK+uhejKuKKa63SdWbnUH0d0JTCy9TbKrrOmdFvBkhgbLgiCIVSWlnD8p+8488evaFS6LoCgXv0YNP0hnH38mq8eJ06Q/eqr1FyOB8AiIgL3FcsxN5IviFVltUT9lsL5/elo1bq/14HhLvSdHIijh+FnCjYmt7yEI6kxnM6OxdKqgKzKVBJLEkkuSUXL3xI2XtV15mrhSSfnDnWDqz2xlnvS3ycMf0fX5r+J1qCm7K8gKC/2r98LE6/fdebgf9VssyuBUXCb6zprSqL/TBCEVqOqvIyo7T9x6rdfUFXrWhK8O3Vh8P2z8Azp2Gz1kDQasl56WZ8zSeHggOuSJdhNmdwsOZtuV3W5itO7UjkXmY66Rjfl3SvUnn5TgnAPaJ6kkpIkkV+Vz+HUS+xLukhiSRI5VSlUSFkNd51dOU9rilLrjqPSG28rP0Kdgojw7Ehfn5D223VWlv233ER1rUVljc/ew9QSnDrUjSGqC4ZcQsExEExaT2uisRDBkiAILa66opyoX3/m1I6f9cuTuPoHMfj+h/Hr3hOZrHkHHcsUCiSVSpcz6d57cV38fyjs7Zu1DreiukLF2T1pnP0zTb88iYuvDf2nBOEd5mCQ17FKVcOJ9HiiMmO5lB9PalkyllYF5FSlUaYqq3/w1XGmxhpLmScRHqH09w0j0C4Qb2s/vKw9MFG03vFTBqNRQWFSA7POLkNNaePnWbnWBUTB9XMT2Xq1+66zpiSCJUEQWkxVWSmnfvuF07/9j5pK3fxtF19/+t/3IB169WvWIKnq3DlMXFww9fAAwG3pczjOeBCL8PBmq8Otqiqv5dyf6Zzbm67PleTkbU3fSQH4d3NuktexvLaclNIUEksSOZYezYHkS5SoM1Ar8pDJ/pawse6zXS6T42LuQU2lM+6WfgTbB9LVLZgBvmH4Objcdp2MUnXp32ad1T0KE3XrnzVE33UWelV+orouNIt2OnuvmYlgSRCEZldeVEjUrz9x9o8dqGp0OX6cvH0ZcO8DBPcZ0KxdXeqiIvI+WEXxd99hM2oU3v/5CAATFxdMXFr3B3pFcQ2nd6dycX8G6lotAE5eVvSeGEBgd5ebXp5Eq9USk5fB0fRoLuTGk1i31lmFlImkaGBgsH6tM1OUkjsOpl74WPsz2K8zQwI642frh1LRDhfc1XedxV47nuifus70LURXBUai66zFiWBJEIRmU5SVQdSvP3Mhcpd+4LaLfyD97rqPDn36N1uuJNCNSyr+fht577+vW6YEkFtaIqlUyExNm60et6I4p5Izu1OJPpKlH7jt4mtDxDi/GwqSrnSd5VanUqzWJW68mHeZhOIkkFfXP/iquNXJ3IkAuwC8rf0pKrans2sw/bzD6OrmK7rO6gVGl6G2rPHzrN2uHVztEgo2nqLrrJUSwZIgCAYlSRIZsZeI2v4j8SeP6b51A54hYfSdeh8B4b2afUxS1dmzZL/2OtUXLgBgFhyM+/KXsezdu1nrcTMkSSIrvpjTu9JIPp8PdZORPTrYETHOH99Ojte8jsVV5exLusip7BguFyaSUZewscGuM9CvdabQOGOr8MLd0pdgh0C6u4UwwK8TPnYtv0ZXi2hw1tmtdJ2F6vIVia4zo3NbwdLSpUtxcmqn/3kEQbgujVpF3NFDnP7tf2TFx+q3B/bsTa+Jd+HdqWuzB0kApbt2kbFIl0hSbm2Ny5NP4vDA/a12mRKNSkv8qVzO/ZlGbspfrRX+3ZzpMdoH9yA7YvMz2XRqD+dz46iRZVMrzyKpJImcypxrL3hV15mDqTcDfMMIsAsgwC4AudqNvt6h2DZTos9WpaFZZ1cSN16368yq/uBq0XXWJomFdG+TWEhXEOorK8jn3O7fOLfndypLigFQmJrSafBwIibchZO3T4vWT1tVReKEiVj26YPrs8/oly5pbcoKq7m4P4NLhzKpKtN1WcpNZFh31nLc7iKXtTHk16ZTQxYoqhu9jkxjgwUeuJj76BI21q111s3dr512nV291lnsVQOt/ylho+tVa5yFiK6zNkAspHsL7rrrLiIjIxk5ciTff/99S1dHEIyKVqMh+dwpzu/5g4SoY0ha3WBjKwdHuo28g+6jx2Fl3zJdD+WHDlHy4094/uttZAoFcgsLAn75GYV161spXqvRcul0Bsf3JlGZqEIm6VreKpVlRLsf4rzrAapNy+FKvsF6a505Y6PwpIN9IJM799C3FtmZNU9epVantuKqzNVxf3Wf/dNaZw4Bf1sAVnSdCSJY0nvqqaeYM2cOmzdvbumqCILRKMrO5GLkbi5G7qa8qFC/3btTF8LHTKRD734oWqh7qzY5mZx33qV8zx4ArPr3w/7uuwFaRaCUXZZPRmUKSSVJJKVkkHxEg19eEFYqGwBkyMiwvcwF9wOkOJxHK9dirjAnzC6MygpHnJQ+uoSNHh3p79tOu84AKgrqWohi6wdFJWmNnyMSNgo3SQRLdYYNG0ZkZGRLV0MQWr3K0hLijhwk+tA+MmMv6beb29jSadAwuo4Yg7Ovf4vVT1NaSv7Hayn88ktQqUChwOHBB7AZNarZ66LVarmQk8rRtEucz4sjqTSJvOo0KqVMzLUyggrCCc6PwL2sK53qzqkyKSfO6QzJLimYOFjhbxvBeLf7mdQpHA8rj/a51pkkQUn6X0HR1YFRVWHj51k6XTvAWqx1JtyCNhEs7d+/n3feeYeoqCiysrL48ccfmTJlSr1j1qxZwzvvvEN2djbdu3fnP//5D3369GmZCguCkamprCAh6jgxh/aRcu40Wk3dTCqZDP/uPekybDRBvfpi0oJT7iWtluJvvyXvw4/QFBUBYDV4MG5Ln8OsQweDll2rVhGVmcCFvDhkylwSixNJLEnkUn48kqxGf5xSbYFfUWeC80fgXRyKvK4fTZJJqN2rseliwZhBvengOqlFBr+3uCvjifJi/hYYXQZVRePn2fvWX/j1yu9WYgKS0DSaLFhKS0tjxYoVbNiwoakuecMqKiro3r07c+bMYerUqdfs37p1K4sXL2bt2rX07duXVatWMXbsWGJjY3F1bacLMArCP6gsLSH+xFHijx8m5fxZtJq/pki7BgQRNmgYoQMGY+PYSgZIy2SU/PQzmqIilIGBuC1bivWQIU1aRK2mluPpsRxJu8Sl/MuklSVTqEqjVp7T8FR8GZjX2hJY0J/g4u64lXggl/5q0XD1syG4txvBvdywsm9H3T/qGiiI1wVFeXF1P2OhMAE0tQ2fIzcFp6D6Y4lcQsApGJTtcM04oVk12Wy4s2fP0rNnTzSaBv5gNCOZTHZNy1Lfvn3p3bs3q1evBnRN4z4+PixatIhly5bpj4uMjGT16tXXHeBdU1NDTc1f3xRLS0vx8fERs+EEoydJEvmpySSePknS6RNkxsYgSVr9fkcvH0L6DaTjwKE4ebXsjLYrqs6fR+nvj8JGN86n6swZqs5fwGH6tNtKLFmtruZkZixH0y4RVxiPhVU+iSWJpJWloZEa/ht3ZQHYEYFdCZY64ZDjTXWiGeXptVz9V9bR04qgHi6E9HHH3q2Nf8irqupyE8X8FRDlxejyE1313qrnShZrl451gVFHXXDk4A+K1p0sVDAuBpkN98svv1x3f2Ji4o1eqlnV1tYSFRXF888/r98ml8sZNWoUR44cuenrvfXWW7zyyitNWUVBaDFV5WWkXTxHytnTJJ2Joqwgr95+14AggvsMILjPgBaf8n+1msQk8v7zEWW/7cRpwQJcF/8fABbh4Te1llutppakkiQOJF/gROYlkkoSKahNpVaWB7KrIpyrhsWYyixA5Y6z0gdfG3+6uIQS4RiCS7kdWbElpP5RQHlRDbpXUtdK4upnQ2APFwLDXXBwt7rt+291VNW69c5yo3WPvFjIi9Z1qTUWFJnZ6YIg/aMuKBLjiYRW6IaDpSlTpiCTybheQ1Rr7GPPz89Ho9Hg5uZWb7ubmxsxMTH656NGjeLs2bNUVFTg7e3Nd999R//+/a+53vPPP8/ixYv1z6+0LAmCMVBVV5MZF0PqxbOknDtDTlI8Vzd7mCjN8O3SjYAevQns0Qtbl9bVTa3KyCBvzX8p+ekn0GpBJkNTep3cOHXUWjWpZalczIvlcNpFYgriUCmySG+opajuc1rSWKDUeuJk5sNdnXsS7h5KB/sOuFi4oK7Vkp1QQnpsEWn7CjmXlgnSX4kLTUzleHd0wK+rM35dnLBxNG/CV6EFadS6VqHci3WB0SXdz+u1FFk4gEvYVQFRiO65jTu0ws8MQWjIDQdLHh4e/Pe//2Xy5MkN7j9z5gwRERFNVrHmtnv37hs6zszMDDOzdjS2QDBq1RXlZMXFkBZ9gfToC+QkXP5rcHYdJ29ffLt0JyA8Au/OXTFVtr73tyo7m4J1n1H07be6GW6A9YgRuDz1JOahofrjJEmioLqAuMI4YotiOZ0dzaWCWPKq09DScG4dG6UNDiY+VJQ742cTSFfXEAb4dKGntw/mpro/kTWVKrISSog/Wsz+y6nkpZSh1db/4ujoaYV3qAO+XZzwCrbHRGnECR8lCcpzIOcC5FyCnIu6ACkvDjQ1DZ9jbg+uYbqA6MpPl45g7SqCIsHo3XCwFBERQVRUVKPB0j+1OrUUZ2dnFAoFOTn10/7n5OTg7u7eQrUShKYnabUUZWeRdTmGzNhoMuOiyU9PrddyBGDj5IJ3py74dQ3Ht2v31jNA+zryP/mE4q+/AcBqQH9cnnoKk66dSCxOJC7hf8QUxhBbFEtcURxF1UUNXkPSmqKtccNM64W3dQD3h/dhVIfuuFi41GsVl7QSxbmVJJ3IIzuxhOzEEgozr52JZe1ghleIAz5hDnh3dDTeAdrqWt3Ms+wLuuAo+7zuZ2VBw8ebWoFrXUDk2qkuMBItRULbdsPB0pIlS6ioaHzqZocOHdi7d2+TVKopKZVKIiIi2LNnj37Qt1arZc+ePSxcuLBlKycIt6G8qJCcxMtkx8eRFR9HdkIcNQ38H7V388ArrDPeYV3w6dQFWxe3VtllfrWahARkCgVKf38ArGY+SGHseRIm9yDKp5bo1DeIPxePqoFMzHKZHF8bX5yV/hyNUeJvE0RPj04M9A8hws8RN9v6XWIVxTXkppSSk1xKbnIpuSll1FReuziqnYsFnsH2+oetsxEmgayt0AVDWecg+6zuZ15MwzPQZHJd4kbXTuDWBdw66X639xNjioR254aDpcGDB193v5WVFUOHDr3tCt2K8vJy4uPj9c+TkpI4c+YMjo6O+Pr6snjxYmbOnEmvXr3o06cPq1atoqKigtmzZ7dIfQXhZkiSREVRIbnJieQkxpOTFE9OwuV6GbOvMDFV4hoQhGdomO4R3LHFlhm5WZJWS8WhQ+Rv3kzVwUMU9evIr/M6cangEokliWjHaqE6Fi5fdZLWHHW1O9pqD7Q1HowKCuf9u+7AwsQCtUaLeoyEuWldLiNJoqK4luRz+eSmlpGXWkZuSimVJdcGCgpTOa6+NrgH2eEeqHtY2iqb6ZVoIqpqyD4HGacg6wxkntYlcmxobJGZHbh30QVFV366hoGpEQaEgmAANxwsLV++nMmTJ7fKcUknT55k+PDh+udXBmDPnDmTTZs2MW3aNPLy8li+fDnZ2dmEh4ezc+fOawZ9C0JL02o1FGVlkpeSRF5yIrl1jysL0tYjk+Ho6Y1Hh1DcO4Tg0SEEZ1//Flte5FZIkkRqVgzJ33+O+Y9/YptVCoAWiCuKZfvly2jlulYwZwtnguxCOZ9gTUGRM5pqTySVI7bmpgzv6MrIMDeGhrhgYWKKVitRmltFQXo5+ell5KWVk59Wpl+Q9moyGdi7W+EWYIubv+7h6GWFQmFErSeSpBtknXYMMqIg/aSuK017bQsZ1u7g0R08uoF7N91Pez/RhSYI13HDeZbmzJnD9u3bUSqVTJo0iTvvvJORI0eiVBrZt60mdjN5GgThalVlpeSnJpOXmqz7mZJEfloq6tprB9DKZHIcvbxxDQjCPbADroEdcPUPRGlk64GpNCouFlzkdO5pTueexvP7w4w9UIF5XQxTqYQ/u8s4OsAR95DudHLshIdFMIN8w3G1dEWSJEZ/sJ+MoirGdXHnrp5ehLvaUJJdRUFGue6RXk5BZgUa1bUtKDK5DAd3S1x8bHDxs8HV1wZnHxtMzYxsMLa6RtdSlHpUFyClHWt4jJGVC3hFgEc4ePYAz3Dd2CJBEG7q8/umklJqtVoOHTrE//73P37++WeysrIYPXo0kydPZuLEiTg6Ot525Y2NCJaEf6KqraEwPY38tBTdoy44aqgbDcDEzAwXH39c/AJwDQjE1T8IZ18/TM2Mb/p5raaWs3lnOZlzkqjsKHJiTpNrXkOlua4V446TWubs0pLvakb2mHBsp0yhi39vXMzd2Xkxh/UHk0jKK+fI8yMxk8kozKrg4qUCKFVRllNJQUZ5g91oACZmCpw8rXD2tsbZxwYXHxucvKyMc5aaqhrST0DKIUg+qPtdXV3/GIWZLhjy7q0LkLx7gZ2PaDEShEYYLFj6u+joaH3gdPLkSfr27cudd97J/fffj5eX161e1qiIYEm4Qq1SUZSVQUFaCgXpqeTX/SzOzq6XCftqti5uuPj541wXHLn4BWDv7o5cboQf6IBW0nK56DJHMo9wNOsoUTlROOVU0S9Gol+MFr88+GKSNRXjBtDDtQfhFh0ILFJiE9EbmUyGWqNl28k0vtiVgLqwFmeNDBdJTmdLC2pKaqGRv1a2zuY4eVnrH87e1ti5WCCTG2mgoNXqutES90JiJKQcAXVV/WMsncG3n+7h00/XnWZipDPyBKEFNFuwdLW8vDx94DR48GCeffbZprhsqyeCpfZHHxSlp1KQnkZBegoFaakUZWciaRsOisxtbHHx8cPZ1x9nHz+cfPxw9vHDzNL4l7soqy3jcOZhDqQf4GDGQYor8umWJBGeKNEjQcK9+KqDFQqc5s3D9f+eRqPSUpxbSWFWBfkZ5VyKLiA3oxxrlYSchoMcc2tTnLyscPS0xsnTCicvaxw9rVCaG884rUZVFUPCn3B5F8Tvgor62dSxdgf/QeA3QPfTOUS0GgnCbTDIcieNuXTpEj///DP29vZ07tyZTZs24eBgHLNvBOF6VDXVFGZmUJieSkFGui44ykij+DpBkdLCEicfX5x9/HD29tUHRZZ29q1+uv7NyCzPZE/qHvam7eV8xilsytTk2evuz1GyYOm2CuR1SRs1ZhZo+41B03UgVS6BJBVqKFpxlJLcyr+ngEL350oGpjJcvWxw9rHG0cMKJ09dgGR0M9L+SVEyRG+H2B268UdXZxNXWuuCosBhEDhclwG7Db2HBMGY3HbLUocOHVi0aBEqlYrz589z/vx5SkpKSEhIaKo6tmqiZcn41VRWUJCeRmFGGgUZdT/TUynJy70moeMVZpZWOHr74OTli7OPL07euoe1o1ObCoqullSSxO6U3Ry5uBPtxRiCMyVC0yWCMyDHw4xzK2fSQ9kX1xofMr/9nTK5HRUKR8qrZI12nyktTHD0sMLBw5LjBWXYullyz4gAXFwt2+zrSF4sRP8Cl37RTe2/mnMohIyB4LHg0xdM2lhwKAitSLN2ww0aNIiDBw/W26bRaFAojHPMxc0SwZJxkCSJypLia4OijDQqGhloDWBubVMXCPng5O2Lo5cPzt6+WDk4tt0P86tkV2SzM2knO5J2EPH9BXrHSjhW2lJh6U6lpTsVVrqfldae1JjaNHodcytTHD2tcPCwAhsTdqTk83tGAT8uHkKgi3Uz3lELKUmHC9vg3HeQc/6v7TI5+A2EsEkQMhYc/FusioLQ3jRrN9zIkSPZuHFjvQSP7SVQElofrVZDaV7eNQFRYUZag9mtr7B2cMTR66+AyMnLG0cvnzbXfdYYSZJQ5+ZRExNN2aXzpEQdoCS9iNVjHbGrcsO1KhxbxRgud3ZHbdr4OCsrOyUOHrqgyNHDCgd3SxzcrbC0VVJeo2b1n/FsOBhHrUaLTAZHEgvabrBUUwYXf4Sz3+hmsV0hN9F1q3W6E0LHg1XrX25GENq7225ZmjBhAhcuXEAul9O7d2+6d+9Ot27dmDRpUlPVsVUTLUstQ11bS1F2Zl2XmS4YKsxIoygrE7Wq4ankyGTYubrh5OVTFxDV/fT2wczSqnlvoJUo+HYbmTsPUpRVSZlkTaWlm66lyMIVraLhLiCZDGycLXCsC4QcPCx1AZK7FWYW137/0molfjqTwdu/xZBbpsshNTjYmRfGhxHm0cb+z0iSLufRqS90gZLqqgDdbyB0vRc6TQbL9pdmRRBaG4O1LKWkpHDu3Dnc3Nzo06cPAL/++isAZWVlXLhwgQsXLrBnz552EywJhlVdXq5rGcpMozAjvS4oSqckN6fR6fgKU1McPLxw9PLB0dNb30rk4OmFqbL9TK3W1tZSm5RMTfxlymKTKEjIpSi7CsXkhygpkyjKqqA03x6Uk8CvgQvINNi6muPq7aBrIaoLiOzdLDAxvbHWY0mSmLnxOAcu5wPg52TJyxM6MTLMtW212FUVw9mv4cR6KLhqPRanDtBjhi5IsvNuseoJgnB7bjhY+vrrr5k1axYqlQqZTEaPHj347bffcHFxAcDGxob+/fvTv39/g1VWaJskSaKsIF8XCGWmX9V1lt7wMh91zCytcKwLhBw9vXHy1rUU2bm6GW2eoluhra3VBR4KE8qLa0jbtous3ccorVZSaeFKhaU7KmUnoBO4AIfzrzpbhoZKypQ5FNjl4+xtT5+w7vTq2A1bZwvkt5mnSCaT0S/QiVMpRSwcEcycQf6YmbShf5vsC3BiHZz7FlSVum2mltB5KvR8SDdIuy0FhYLQTt1wN1zHjh3p378/zz//PGlpaSxdupTu3buzfv16Q9exVRPdcDdOo1ZRlJWpC4jS6wKjzHQKM9JR1VQ3ep61k3NdC5EuKLrSddZexhNdoa2qojYpicq4BApi0ylKLaa4QEVprTnqsD6UlMtQ12gaPd9SqUZhW0OSVQqX5BcotsihyCIHT2dXpodNZ2LgRKyVtzd+SKuV+PZkGkGu1vT213U1Vas0lFSpcLM1vgzkDdJqIW4nHFldfyySSxj0mQfdpoFZ44PdBUFoHQwyG06pVBIXF4e/vz8AMTExREREUHGdQbPtgQiWrlVTWUFhRnpd99lfXWfFOVmN5ieSKxTYu3noWom8rg6MvFFaGH/ixpuhKSujNiEBrZMHZSpzirIryT54ltzjMVRYulFt4Ywka7h1Ri6XYeuoxNaiFkd/J5yCXLB2NeVwZSRfxn9OUkkSAAqZghG+I7i/4/30cuvVJEHnhYwSXvrpAmfSigl1s2H7k4MwNabFaP+JqkrX1XZkDRTE67bJTaDjROgzXzcmqR0F74Jg7AwyZkmtVmN5Vbbhjh07otVqyc7Oxt1dLMzY3ui7zq4Khq78XlFc1Oh5SgsLXUB0ZUyRty4osnfzQGHSBrIw3wRNeTlV589TFJ1MYXw+RTmVlJRBucyOSks3as2uTmmgBOdu+mcmMjV2VlrsXc1xCnTGqYMrDu5W2LpYoKgLUMpqy/gm5hu+PPElhdW6a1mbWnNvyL08EPYA7lZN8/+2tFrF+3/E8fmRZLQSWJuZcG8v70ZycBuhqmI4vg6OffzXYrVmdtBrFvR5BOzax9JOgtCe3dSn0+bNmxk4cCDdunXD2toaExMTKisrDVU3oRXQqFUUZ2fpxxD9Na7oH7rO6qbi1xtT5OXTbvITXSFpNKjS06mMS6AwJo1qj1AqLd0oyq6kID6X4rxqNAo3wA1Mgb9NkrKyN8PB3RJ7V3Ps7eQ4Brrg6Kmbit/Y61hUXcQXl77gm5hvKFOVAeBh5cGMsBlMDZ56211t+nuTJH45m8nrv0aTVzfLbWI3D16e2KltdLlV5OtakU58BjWlum12vtD/cd2gbdHVJgjtxg0HS4MHD+b111+nrKwMuVxOQEAA1dXVrF+/nlGjRtGrVy9sbMQfD2NVXVFer3Xoys/inOzrdp3ZuXnoZpvVjSVy9PLG0dOnTax5divKU7JI+3o7helllBSpKVOZU2HuUtd15gMXK4Gkv05QmCFDi7VpDfYOJjh42eIU4o5TgBMObpYoG5iK35iCqgI2XtjIt3HfUlW36GqgXSDzus7jjoA7MJWbNum97r+cz1PfnAEgwNmKVyd3ZnCwS5OW0SLKcuDQKji58a/Fa13CYPAz0PkuULSvFlBBEG4hz9Lly5eJiori1KlT+kdxcTFyuZzg4GCio6MNVddWyZjGLF076+yvwOgfu848/2ohutJa1B67ztRFRdTEx1MUnUJBfC5F2ZXUeIRQZedNYXYlVaWN5HgCTFBhZ6/AuaOnPlmjg7tlva6zW1FUXcTGixv5JuYbfZAU5hjG/G7zGek7ErnMMOOGJEli7uaThPvYs2BIIOY3mE6g1arI1wVJxz/7K0jy7AGDn9Ulj5S3ofFXgiA073InAElJSZw8eZLTp0/z5ptv3u7ljEprDJbUKhXFdQkb9a1Ft9J15uGNo7c31g5td72zhkhaLdrKSjCzpDi3koKEXFI2bqO0QkGFqSOVlm5oFI3nazKX12BnrcXBzRLHIBecg91x9LLB0q7xrrNbUVJTwuaLm9kSvYVKta47vItTFx4Lf4zBXoOb/N/sUHw+H+25zLqZvbA117VSSZJk/O+NykI4/BEc+/SvJJJevWDY89BhpBi0LQhtVLMHS+1ZSwZL1eXlFGamXTOeqCSn8YSNf806qz+WyMHTu911nWmrq6lNSaEsOoH8uGyK0ksoLtJQVmNGlZM/lVg1to4uMkmLtbIGOzs5jn4OuHb1w76upUhpbtjWtkpVJV/FfMWG8xv0Y5LCHMN4IvwJhngPafLgJb+8hte3X+KnM5kAPDo0iGXjOjZpGS2iplw3aPvQR3+NSfLsAcNegODRIkgShDauWdeGEwxL0mopK8zX5yUquKoL7XoJG5UWlnXLeXjjUNd15uTlg52re/vsOktIoLxUTbVbMMXZlRRmlpG54yAVFq6olLaAv+5gq7pHXZCkNFfg4GGFtVSKg6c1zh09cfJzxMbZ/La6zm6FSqNi2+VtfHLuE/KrdIklO9h3YFGPRQz3Gd7kQZJWK7H1ZBpv7YimtFqNTAYP9fPj8eFBTVpOs1PXQtQm2P8OVOTqtrl1gREvQcgdIkgSBOEa7etT04hkXY5l9/r/UpiZjrqmptHjrJ2c9dPwnfQDrL3b3ayzK0oiD5B/MZXClEKK82oorVRQbuJApaUbWoUZcPavg+066H+1kFdja6XrOnMKctaNK/K0ue6ss+YiSRK/p/zOR6c+Iq0sDQAvay8W9ljIOP9xKAyQrTw2u4wXfzzPyRTdWLZOHra8ObUr4T72TV5Ws5EkuLAN9rwKxSm6bQ7+MOJlXcZtMSZJEIRGiGCplTIxMyM3KQEAucIEBw9PHD29cfD00i8A6+jp1e4SNmqrq6lNTqYsJpH82GxKa5SoO/ejKLuCouxKSnNrQOYBeIAZukcdGVrsPWxwdLfE3s0SOwcFjn6OzdJ1dqtO5ZzivZPvcS7/HABO5k480v0R7gm+B1NF085uu9qn+xM5mVKEpVLB4tEhzBrgj4kxJ5hMPgR/vASZp3TPrd1g6HPQ42EwaXjBYEEQhCta5yeEgIOHF5OXvIyjpzd2rm7trusMQNJKlBVWk7Lhe/ITcikthTLJhkpLN1RKG/RdZ5mpf50kk+tmnVmosHNS4uhrr+86s3U2R24kH/jJJcl8EPUBf6b9CYCFiQWzO89mZueZWJoaJkCuVWtRmuhen+fHd0QrSSwZG4qnvYVBymsWeXGwaznE/aZ7rrSGgf/f3p3HR1Xd/x9/TSb7TghJSAAjimwBIoEEsCpLFJBFRL7Vn9pS8Yu1tW5RFBRBBEWtC9SitFrFqt+qqNAKigiCoIBANAiUsG8GEggh+zoz9/fHtVELRoXczNzk/Xw88seZ7XzmELhv7j33nDug/60QGObd2kTENjTB+yz54t1wdmG43dQdPUrlzj2cyM2j6EARJwtrKHeHUXtBGiUFlbjqTj9RHSDEr4qocIO4tE60ahtOq/hQohNCfeLS2ZkqqSlh/pb5vJH7Bi7DhZ/Dj7GdxvL7Xr+nTag1axgdK6tm5pId1NS5+euv+1jSR5OrLILVs2HT38Bwg8MJab+BgZMhPM7b1YmID9AEb/Epnupq6g4fxmibTFF+BcX5lRx++0NOHq0wF2wMbv39S2cAX5cD4OfvIDLUQ0RQrTnBulMCrTvF0yohjIAgm6/r8x11njre2vkWz+U8R2mteWfWJe0uISsti/OirZlQ7fEY/GPTIR77IJeyahd+DnOuUucEGy8u66qFTS/AJ49DdYn52AXD4bKHoc0F3q1NRGxLYUkajevkSap3f7Ng495CTuZXUFoGZURQGRJPXeDh77z6HGj1bSuAWiJDXETHBhLToRVtUjrQKjHCVpfOztTar9fyxKYnOFB6ADDvcJvUdxIDEgdY1ufO/DLuX7SV7G8mcPdIimL22B72DUqGAbuXw7IpUGTO9SM+BYY+Ah0HerU0EbE/hSX5WQy3m7q8PCp27eXEjjzcfQZRUljDyfxKjuXspbw2CI8zBogBPyDq+++PiAk2V60O9xAdE0DrLonEJEYQEhFg20tnZ+pAyQGe2PQEa/PWAhATHMOtqbcyttNY/P2s+atZXefmTyt389c1+3B5DMICndwztDO/7p+M08+m4398F3w4BfasMNthbcw73C68ASy4U1BEWh6FJWlQ0bps8j/JoSivlJJi9zd7ncVRHRwDjkTYvvM7r44AJ/gZbiICa4iKdhLTLoLWnRKIOT+OVvHN69LZmSqrLeMvW/7C6ztex2W48Pfz54auN3Bzz5uJCLT2zI7nm81vXR6Dy7vF89Do7vadwF1VDJ88ARv/Ah4X+AWYm9xefA8Ea/6giDQehaUWzDAM3EVFVO/Zy8kdhzix9zgnCypxX3gppeUOTuZXUl1RB5xrvuG/NqsPwJxHZG76GkZ0QggxbcOIaB2Cn13PUljIY3j4555/MueLORRVFwHmvKRJfSaRHJVsWb9FFbVEhQTg9HMQGujPE1f3pKzGxdDuCZb1aSmPB3JegxUzoNJcnJPOV8Dls6C1zRfMFBGfpLDUAhhuNxgGLreD4oJKjqzcRP4nX1BWFUB5QAxVoXF4/L5z6WxL6ffeH+pXRVQEtEoIJeZcc8HGmKQIgsNb3qWzM7WtcBuzP59dv15ScmQy9/a9l4vbXWxZn4ZhsHDz1zzy/g7uufwCftU/GYAB58da1qflvs6G9+/5dr2k2Atg2Gw4P9O7dYlIs6aw1Ix4Kiup3rePstwD5l5nR8ooLnZTVhdCTbuuVFR858XBvSH426af4SIisJaoVk5iuyQS2ymB6G9uxQ8I1KWzM1VUXcSfvvgT7+5+FwODUP9Qftfrd1zf9XpLF5Xcc6yc+xdtZeN+8wzWkq+OckO/c+wbbsuPw8qH4MvXzHZghLkMQMZvwcJxFBEBhSXbMQwD94kTVO3eS01kAuXuMIryKzi2eTfHtx6gMjQeV0AY0NF8w38unX0TlILDA4iOCSCcUmKSY4jtkkTrDtGExwTr0lkjcnvcLNy1kGe/fLZ+KYBRHUdxV9pdlq2XBOYE7udW7+X51XuocxuEBJgrcN94UbI9g5LbBZtfglWzvl0KoNd1kPkQRMR7tTQRaTkUlnyYu7SUkg2bzQUbD56k+EQtpVUBVATEUBkah+H33VNFfhD1TUAyDEKd1URFmpfOWnds881dZ+GEhGtrB6ttOb6FRzY8wo6iHQB0ienC/Rn3c2HchZb2++Whk9z91hb2FZq/F4M6t+HhK1NoH2PTLXEObYCl90DBVrOd0BNGPAXt071bl4i0OApLwP79+5kwYQIFBQU4nU42bNhAWJh3t0I4sqeY5fNzqCgHSDJ/gvnepTOnn0F0YoS5cnVcMFHRfsSe14bouFD8demsyRVVFzEnew6L9iwCICIggj9c+Ad+2fmXli0F8F0BTj8OnKigTUQQ00d1Y0SPtvY8m1R+HFZMh5zXzXZwFAyZBmk3aikAEfEKhSXgN7/5DbNmzeLiiy+mqKiIoKCgH3+TxYJDA6goN7f6CKSGyFA3rdoE0eqcVsR2bUfr9lFExATj0KUzr3N73Lyz+x3mfjG3/pLbmPPHcGfvO2kd0tqyfg3DIDe/jK5tzdvkU5KieO763vQ/L5aoEBvO4/G4zUtuH8/89pLbhb8yL7mF2XhSuojYXosPS9u3bycgIICLLzbvSoqJifFyRaao+BDG3tObVglhBIfb8MDXQmw/sZ1Z62ex7cQ2ADq36szUflNJjUu1tN+DJyqYungbG/adYOntF3NBvLk+07CUtpb2a5m8bFiSBUdzzHZCTxjxNLTv69WyRETAvFHcp61Zs4ZRo0aRmJiIw+Fg8eLFp7xm3rx5JCcnExwcTEZGBhs3bvzJn797927Cw8MZNWoUvXv35tFHH23E6s+c0+lH2/OjFZR8VGltKbM2zOL/Lfl/bDuxjfCAcCanT+aNkW9YGpTq3B7mrdrD5c+sYe3uQhwOB/8+Uvrjb/RVVSdhyV3wwhAzKAVFwfA/ws2rFZRExGf4/JmliooKevXqxYQJExg7duwpz7/55ptkZWUxf/58MjIymDNnDkOHDmXnzp3ExZm7i6empuJyuU557/Lly3G5XKxdu5acnBzi4uIYNmwYffv25bLLLjttPTU1NdTU1NS3S0ttfKCSn80wDJbsW8KTm5+sX1hyRMcR3J12t6V3uQFkHzzJ/e9uZWdBGQAXnd+aR8b0IDnWu/PrzohhwJY3YPnUbxeW7HktXD4TwuO8W5uIyH/x+bA0fPhwhg8f/oPPP/3000ycOJEbb7wRgPnz57N06VJeeuklJk+eDEBOTs4Pvj8pKYk+ffrQvn17AK644gpycnJ+MCzNnj2bGTNmnOG3ETvbV7yPWZ/PYlP+JgA6RnVkar+p9E2w/gzI7Pd38Ne1+zAMiAkLZOqIrlx1YZI9J3Af22Fecju0zmy36WJecku+yLt1iYj8AJ+/DNeQ2tpasrOzycz8dvVePz8/MjMzWb9+/U/6jL59+3Ls2DFOnjyJx+NhzZo1dO3a9QdfP2XKFEpKSup/Dh8+fNbfQ3xblauKuV/M5er3rmZT/iaCncHc0fsO3h71dpMEJYDY8CAMA8altWNF1qWM7d3OfkGptgI+mg7zf2EGpYBQyJwBt3yqoCQiPs3nzyw1pLCwELfbTXz89xeni4+PJzc39yd9hr+/P48++iiXXHIJhmFw+eWXM3LkyB98fVBQkE/cLSdNY83Xa3j080fJK88DYGC7gUzOmExSeJKl/R4prqKoopaUpCgAbrwomd7nRJN2jm/cgPCz7fwA3r8XSg6Z7c4jYPjjEN3eu3WJiPwEtg5LjeXHLvVJy5Nfkc/jGx9nxaEVACSEJTAlfQqDOwy2tF+3x2DBugM8tXwnCZHBvH/HxQQHOPF3+tkzKBUfhmWTIXeJ2Y7qAFc8AZ31901E7MPWYSk2Nhan00lBQcH3Hi8oKCAhwaY7qotXuTwu/pH7D/785Z+pdFXidDj5dbdfc0uvWwgNsHYl7G15JUx5dytb88w1hmLCAimpqiM4wIYLMbrrYMPzsHo21FWCnz/0/wNcei8E2nBCuoi0aLYOS4GBgaSlpbFy5UrGjBkDgMfjYeXKlfzhD3/wbnFiO1uPb2Xmhpn125Sktkllar+pdI7pbGm/lbUunvloFy99dgC3xyAi2J8pw7tybd/29tyv7/AmWHInFJhrT9GhvzmBO76bV8sSETlTPh+WysvL2bNnT317//795OTkEBMTQ4cOHcjKymL8+PH06dOH9PR05syZQ0VFRf3dcSI/pqy2jLlfzOWtnW9hYBAZGElWWhZXdboKP4e190AcK63mqufWkVdcBcDInm2ZNqobcRHBP/JOH1R1ElY+DJtfBgwIaQWXzYTU68HP1veSiEgL5/NhafPmzQwaNKi+nZWVBcD48eNZsGAB11xzDcePH2fatGnk5+eTmprKsmXLTpn0LfLfDMNg2YFlPLHpCQqrzLV+Rp83mqy0LEu3KfmuNhFBdGxjXpaaNSaFQV1suMaQYcDWt+HDKVBx3Hws9XozKIU1zTiKiFjJYRiG4e0i7Ky0tJSoqChKSkqIjIz0djnyEx0uPcysz2ex7oi51k9yZDIP9nuQ9LbW7mjv8Ri8nf01Q7snEBVqrs5+rKya8CB/QgN9/v8upzqxF5Zmwb7VZjv2Ahj5DCT/wqtliYj8mJ9z/Lbhv84iZ67OXceC7Qv4y1d/ocZdQ6BfIP/b83+5KeUmAp2Blva951gZU97dyqYDJ/ny8Elmj+0JYM9Lbq4a+GwurHkS3DXgHwyX3AMDbgd/La0hIs2LwpK0GNkF2cxcP5O9JXsByGibwYP9HuScyHMs7be6zs1zq/bw/Cd7qXMbhAY66RQXYWmfljrwqbmfW+Eus33eYBjxFMR09G5dIiIWUViSZq+kpoRnsp/hnd3vABATHMM9fe5hZMeRlq+CvX7vCR5YtJV9hRUADOkSx8NjUkiKDrG0X0tUnICPpkHOa2Y7LA6GzYaUq8Fuq4mLiPwMCkvSbJ1u09urO13NXWl3ERUUZXn/b20+zL1vfwVAXEQQD43uzvCUBPttU2IYsOUf8OEDUGWOI2k3QuZ08443EZFmTmFJmqWDpQeZuWEmnx/9HIDzos5jWv9p9I7v3WQ1XNY1ntjwQIalJHDvsC5EBgc0Wd+NpnC3ecntwFqzHdcNRs6BDhleLUtEpCkpLEmzUuuu5eVtL/PXr/5KraeWIGcQt/S6hfHdxhPgtDasHDxRwaIv87hjSCccDgetwgJZefdAokJsGJJcNfDpM7D2KXDXgn8IDLzPXIXb4nEUEfE1CkvSbGQXZPPw+ofZV7IPgAGJA5iaMZX2kdZu1lrn9vDi2v3MWbGLGpeHTnERjOjZFsCeQenAp/DenXBit9k+PxOueBJizvVqWSIi3qKwJLZ3ugnc9/W9j+HnDrd8ftCXh04y5d2t5OaXATDgvNZ0S7TpeluVRbD8we9P4B7+GHQfqwncItKiKSyJbRmGwfv73+eJTU80+QTusuo6nvxwJ3/fcBDDgFahAUwd0Y2xvZPsOYH7q7fMFbgrT5iP9ZkAQ6ZDSLRXSxMR8QUKS2JL/70Cd1NP4J74981s2GcGtLG9k5g6ohsxYdYuammJE3vNCdz7PzHbbbrCqLmawC0i8h0KS2IrdZ46Xtn+CvO3zK9fgfvmnjczIWWC5RO4v+u2wZ3IL9nKI1f14KLzY5us30bjqoV1c+GTP367Avel90L/28DfhqFPRMRCCktiGznHcpixfgZ7ivcAkJGQwYP9rV+B2+0xeHX9AQL9nVyX0QGAi86P5aOsSwlw+lnatyUOrocld8LxXLPdcRCMfForcIuI/ACFJfF5pbWlzM2ey1u73gKgVVArJvWd1CQrcO84Wsrkd7ey5XAxYYFOhnSNIz7S3MvNdkGp6iR8NB2+eMVsh8bCsMegxzhN4BYRaYDCkvgswzD48OCHPL7xcQqrCgG48rwrubvP3bQKtnbl6KpaN3NX7uaFtftwewwigvy5b3gX2oTbcJNYw4Bt78CyKVBxzHzswl/BZQ9DaIx3axMRsQGFJfFJeeV5PPr5o6z5eg0AyZHJTOs/jb4JfS3ve82u4zyweCuHi6oAuKJHAtNHda8/o2QrJw/A0rthzwqzHXuBuQJ38kXerEpExFYUlsSnuDwuXt/xOvNy5lHlqiLAL4D/7fG/3NTjJoKc1p/VOVJcxYQFm3B5DNpGBfPwlSlc1i3e8n4bnbsO1s+D1Y+BqwqcgXDJJLjoDvC34dkxEREvUlgSn7G9cDsz1s9gR9EOAHrH9WZ6/+l0jG66iceJ0SH89tKOVNa6ufvyzoQH2fCvyNfZ8N7tULDNbCdfDCOfgdhO3q1LRMSmbHgkkOamoq6CP3/5Z/4v9//wGB4iAyO5u8/djDl/DH4OaydR7z1ezvR/buf+K7rWr7x9z+Wd7bewJEB1KXw8Eza+ABgQ0goufwRSr9MEbhGRs6CwJF616tAqHvn8EQoqCwC44twrmNR3ErEh1q5dVONyM3/1Puat2kOt28PMJf/mHzf3A7BnUNrxHrx/L5QdMds9r4Whj0CYDdeAEhHxMQpL4hUFFQU8tvExVhwyJx4nhSfxYL8HuSjJ+onHmw4UMeXdrew5Vg7ApRe0YdaYFMv7tURJHnxwL+QuMdutzjXXTDpvsHfrEhFpRhSWpEm5PW7e2vUWc7+YS0VdBU6Hk/Hdx3NLr1sI8Q+xtO+SyjoeW5bLPzYeAiA2PJBpo7ozqmdb+51N8rhh04uwcibUloGfvzl5+5JJEGDtOIqItDQKS9Jkdhbt5OH1D/NV4VcA9IztybT+0+gc07lJ+v/Xlrz6oHRt3/ZMHt6F6FAbbu1x9CtzBe68bLPdLt3czy2+m1fLEhFprhSWxHJVrirmb5nP37f/HZfhIiwgjDt638EvL/glTj+npX27PQZOP/Os0XUZ57D54EmuS+9ARsfWlvZridoKWD0b1j8HhhuCIiHzIUi7Efxstpq4iIiNKCyJpdblrWPmhpl8Xf41AJkdMpmcPpn4MGvXLnK5PSxYd4B3vshj0e8HEBzgxOnnYO61F1rar2V2r4Cld0GxeWaMbmNg+OMQkeDVskREWgKFJbHEiaoT/HHzH1m6bykA8aHxPJDxAIM6DLK8761flzBl0VdsyysF4O3sr7mhn7Wb7Vqm/Bgsm2xuVwIQ2Q5GPAWdh3m3LhGRFkRhSRqVYRgs3rOYp7KfoqSmBAcOrut6HbddeBthAWGW9l1R4+Lpj3bx8mf78RgQGezPAyO68j9p7S3t1xIeD3z5Knz0IFSXgMMPMn4Hg+6HoHBvVyci0qIoLEmj2V+yn5kbZrIpfxMAXWK6ML3/dFJirb8tf+WOAqb9czt5xeZ+bqN7JfLgyG60ibDh1h7Hd8KSu+DgZ2a7bS9zAneiTS8hiojYnMKSnLVady1/2/Y3XvjqBeo8dQQ7g7k19VZu6HYD/n5N8yv2+ueHyCuuol2rEGaNSWFg57gm6bdR1VXDp0/D2qfBUwcBoTB4KqT/Fpz6qyoi4i36F1jOSnZBNjPWz2B/yX4AfpH0C6b2m0pSeJKl/Xo8BjUuDyGB5t10M8ek0HnDQW4bfD6hgTb8tT7wKbx3J5zYbbY7DYURT0J0B6+WJSIiCktyhkpqSngm+xne2W1OPG4d3JrJ6ZMZmjzU8gUedxWUcf+7WzmndRhP/bIXAEnRIdw3rIul/Vqissicl/Tla2Y7PN68y63bGO3nJiLiIxSW5GcxDINlB5bx+MbHOVF9AoCrO13NXWl3ERUUZWnf1XVu5q3aw/xP9lLnNthxtJT7hnUmLjLY0n4tYRiwdSEsmwKVheZjaTea6yaFRHuzMhER+S8tKixdddVVrF69miFDhvD222/XP15cXExmZiYulwuXy8Udd9zBxIkTvVipb8orz2Pmhpl8lmdOPO4Y1ZFp/aeRFp9med/r9hbywKJt7C+sACCzazwPX9ndnkGpaD8szYK9H5vtNl3MCdwd+nm3LhEROS2HYRiGt4toKqtXr6asrIxXXnnle2HJ7XZTU1NDaGgoFRUVpKSksHnzZlq3/vFVnktLS4mKiqKkpITIyEgry/cal8fFa/9+jXk586h2VxPgF8DEnhO5KeUmAp3WbhdSUlnHzKX/5u1sc1HLuIggHr6yO0O7J9hvPzd3Haz/M6x+HFxV4AyCSyfBgDvA34bbroiI2NjPOX63qDNLAwcOZPXq1ac87nQ6CQ0NBaCmpgbDMGhBGbJB2wq3MWP9DHKLcgHoE9+Haf2ncW7UuU1Ww+qdx3E44IaMc5g0rDORwQFN1nej+XozvHcHFGwz28kXw8g5EHu+V8sSEZEf5zMbSq1Zs4ZRo0aRmJiIw+Fg8eLFp7xm3rx5JCcnExwcTEZGBhs3bmy0/ouLi+nVqxft2rVj0qRJxMbGNtpn21FFXQWPb3yc69+/ntyiXCIDI3l4wMO8NPQly4NSfkl1fViNCg3gj//Tk7dv6c/MMSn2C0rVpfD+JHgx0wxKITEw5nkY/56CkoiITfjMmaWKigp69erFhAkTGDt27CnPv/nmm2RlZTF//nwyMjKYM2cOQ4cOZefOncTFmWvqpKam4nK5Tnnv8uXLSUxMbLD/6OhotmzZQkFBAWPHjmXcuHHEx5+6f1lNTQ01NTX17dLS0p/7VX3eqkOreOTzRyioLABgRMcRTOozidYh1m4+W+f28OLa/cxZsYsnxvXkylRz+YFBdlwzCWDHEjMolR0x2z2vhaGPQFjLDuIiInbjM2Fp+PDhDB8+/Aeff/rpp5k4cSI33ngjAPPnz2fp0qW89NJLTJ48GYCcnJyzriM+Pp5evXqxdu1axo0bd8rzs2fPZsaMGWfdjy86VnmMxzY+xkcHPwIgKTyJaf2mMSBpgOV9f3noJFPe3UpufhkAK3Ycqw9LtlOSBx/cC7lLzHarc2HkM3Ce9fviiYhI4/OZy3ANqa2tJTs7m8zMzPrH/Pz8yMzMZP369Wf9+QUFBZSVmQfpkpIS1qxZQ+fOnU/72ilTplBSUlL/c/jw4bPu39s8hoc3c9/kysVX8tHBj3A6nExImcCiKxdZHpTKquuY9s9tjH1+Hbn5ZbQKDeCp/+nFn65NtbRfS3jc8PlfYV6GGZT8/OHiu+H36xWURERszGfOLDWksLAQt9t9ymWx+Ph4cnNzf/LnZGZmsmXLFioqKmjXrh0LFy6kf//+HDx4kJtvvrl+Yvdtt91Gjx49TvsZQUFBBAXZcL+xH7D75G5mrJ/BluNbAOgZ25Np/afROeb0YbExrd19nEkLvyK/tBqAsb2TmDqiGzFhNrwzLH+bOYE7b7PZbpduLgcQ3827dYmIyFmzRVhqLCtWrDjt4+np6Y1yCc9Oql3V/PWrv/LytpdxGS7CAsK4/cLbuabzNTj9nE1SQ4DTj/zSapJbh/LIVT246HwbzuWprYRPHjeXBPC4ICgShkyDPjeBny1O3IqIyI+wRViKjY3F6XRSUFDwvccLCgpISEjwUlX2teHoBmaun8mhskMADOkwhMnpk0kIs3Ys3R5z1e2UJHOl734dWzP/ht4M7BxHcEDTBLRGtfdjWHIXnDxgtruOhuFPQGRbr5YlIiKNyxZhKTAwkLS0NFauXMmYMWMA8Hg8rFy5kj/84Q/eLc5GTlaf5MnNT/Kvvf8CIC40jvsz7mdIhyGW973jaCmT393Krvwylt91Ce1jzHWthqXYMFiUH4cP74etb5ntyCS44knocoV36xIREUv4TFgqLy9nz5499e39+/eTk5NDTEwMHTp0ICsri/Hjx9OnTx/S09OZM2cOFRUV9XfHyQ8zDIN/7f0XT25+kuKaYhw4uLbLtdx+4e2EB4Zb2ndVrZu5K3fzwtp9uD0GEUH+7D5WVh+WbMUwIOd1WD4Vqk4CDsi4BQY/AEER3q5OREQs4jNhafPmzQwa9O0dQ1lZWQCMHz+eBQsWcM0113D8+HGmTZtGfn4+qampLFu27LRrIcm3DpYeZOaGmXx+9HMAOrXqxEP9H6Jnm56W971m13EeWLyVw0VVAAxPSeCh0d2Jt+N+boV7YMmdcGCt2Y7vAaPnQpL1++KJiIh3tai94azgq3vD1bnrWLB9AfO3zKfWU0uQM4jf9fodv+7+awL8rF0F2zAM7n37KxZ+s59b26hgHr4yhcu62TDYumrhszmw5klw14B/CAy6H/r9Hpw+838NERH5mbQ3XAuXcyyHGetnsKfYvKzZv21/Huz3IO0j2zdJ/w6Hg4SoYBwO+M2AZO6+vDPhQTb8VTu43lwOoHCn2T4/E0Y8Ba2SvVqWiIg0LRseweSHlNWWMfeLuby18y0MDGKCY5jUdxIjzh2Bw+GwtO99x8txeQwuiDfn7tw66Hwu75ZAj3ZRlvZriapiWDEdsheY7bA2MOwxSLkaLB5HERHxPQpLzYBhGKw4tILZn8/meNVxAMacP4a70+4mOjja0r5rXR7mf7KXP6/aQ+f4CBb9fgD+Tj+CA5z2C0qGAdsXwbLJUP7NMhUX/gouexhCY7xbm4iIeI3Cks3lV+TzyIZHWP31agCSI5OZ1n8afRP6Wt73pgNF3P/uVnYfKwegVVgg5TUuokNtuAJ38SFYeg/s/tBst+5krsCdfJF36xIREa9TWLIpt8fNP3L/wbNfPkulqxJ/P39uSrmJiT0nEuS0djuWkso6HluWyz82motaxoYH8uDIbozulWj55b5G53bB5/Nh1aNQVwHOQHM/t1/cBf7NZ1sbERE5cwpLNrTjxA5mrJ/B9hPbAbgw7kKm95/OedHnWd73gcIKxs1fT2F5DQDX9m3P5OFd7Hk26ciX5gTuo+a+eHQYYJ5NanOBd+sSERGforBkI5V1lTy/5Xle/feruA03EQER3NXnLq7udDV+jqbZh6xDTCjtY0KIDPFn9lU9yOjYukn6bVQ15eaZpM+fB8MDwVFw+SxIvUH7uYmIyCkUlmxi7ddrmbVhFkcqjgAwNHko9/W9jzahbSzt1+X28Mamw4ztnURooD9+fg6evz6NVmEBBPnbcD+3XR/C0ruh5LDZThkHw2ZDeJx36xIREZ+lsOTjCqsKeWLjE3xw4AMA2oa1ZWq/qVzS7hLL+96WV8Lkd79iW14ph4sqmXJFVwASomy4AndZPnxwH/x7sdmO7gAjnoFOmV4tS0REfJ/Cko/yGB7e3f0uT2c/TVltGX4OP27oegO3pt5KaIC1+6pV1Lh45qNdvPTZfjwGRAb7c14ba/eQs4zHA18sgI8egpoScDih/60wcDIEhnm7OhERsQGFJR/1zz3/ZMb6GQB0jenK9AHT6d66u+X9fpxbwIOLt5NXbO7nNrJnW6aN6kZchA3PJh3bAe/dCYc3mO3EC2HUn6Ct9fviiYhI86Gw5KNGdhzJ27veZmjyUK7reh3+ftb/Ub24dh+zlu4AICk6hFlXpTCosw3n8tRVw9on4dM54KmDwHAYPBXSbwY/G86zEhERr1JY8lEBzgBeveLVJrvLDWBEz7Y8+/EerunbnjszOxEaaMNfj/1rzLNJRXvNducr4Io/QlQ7r5YlIiL2ZcOjYcthdVDaXVDGRzsK+P3A8wFoGxXCmnsHERUSYGm/lqgsguUPQs5rZjs8wQxJXUdpPzcRETkrCkstUHWdm+dW7eH5T/ZS5zZISYzikgvMJQhsF5QMA756Cz6cApUnAAf0mQCZ0831k0RERM6SwlILs37vCR5YtJV9hRUAZHaN47w4m97pVrQPlmTBvlVmO66buQJ3+3Tv1iUiIs2KwlILcbKilkff38HC7K8BiIsI4qHR3RmekmDD/dzqYN2z8Mnj4KoGZxAMvA/63wb+Ntx2RUREfJrCUgtgGAbXv/g5/z5aCsAN/Tpw77AuRAbb7JIbwOFN5n5ux8x98Tj3Uhj5DLS2fl88ERFpmRSWWgCHw8Ftg8/nmRW7mD22B2nnxHi7pJ+vuhRWPgybXgQMCImBoY9Cr2s1gVtERCylsNQM1bk9vLh2P4nRwVyZmgTAsJQEMrvFE+C04UaxO5bA+5OgzNwXj17/Dy5/BMJsuImviIjYjsJSM/PloZNMeXcruflltAoN4NIL2hAdGojD4SDAabMzMCV58MG9kLvEbLc617zkdt4g79YlIiItisJSM1FWXceTH+7k7xsOYhjQKjSAB0Z0s99SAAAeN2z6m3nZrbYM/PzhojvgkkkQEOLt6kREpIVRWGoGPtyez/R/bie/tBqAsb2TeOCKrrQOD/JyZWcgf5s5gTtvs9lu19dcDiDe+n3xRERETkdhyeb2HCvjt69mA3BO61AeGdODX3SK9XJVZ6C20lwKYP2fweOCoEgYMg363AR+NpxnJSIizYbCks2dHxfB+P7nEB7sz22DOxEcYMONYvd+DEvugpMHzHbX0TD8CYhs69WyREREQGHJdnYcLWXGe9t5/OqenNM6DICHRne338KSABWF8OH98NWbZjsyCa54Erpc4d26REREvkNhySaq69zMXbmbF9bsw+UxePT9HfzlV30A7BeUDANyXoflU6HqJOCAjFtg8AMQFOHt6kRERL5HYckG1u4+zgOLtnGoqBKAYd0TeGi0TSc8F+6BJXfCgbVmO74HjJ4LSWleLUtEROSHKCz5sBPlNcxauoNFX+YB0DYqmBmju3N59wQvV3YGXLXw2RxY8yS4a8A/BAZNgX63glO/hiIi4rt0lPJhb2w6zKIv83A4YHz/ZO4Z2pnwIBv+kR3aYC4HcDzXbJ+fCSOeglbJXi1LRETkp7Dhkbfl+N+Lz+XfR0uZeHFHUttHe7ucn6+qGFZMh+wFZjusDQx7DFKu1n5uIiJiGy1mAZvDhw8zcOBAunXrRs+ePVm4cOH3nl+yZAmdO3emU6dOvPjii16q8vuC/J3Mu663/YKSYcC2d2Fe+rdB6cJfwa0bocc4BSUREbEVh2EYhreLaApHjx6loKCA1NRU8vPzSUtLY9euXYSFheFyuejWrRurVq0iKiqKtLQ01q1bR+vWP75Ra2lpKVFRUZSUlBAZGdkE38THFR+CpffA7g/NdutO5grcyRd5ty4REZHv+DnH7xZzZqlt27akpqYCkJCQQGxsLEVFRQBs3LiR7t27k5SURHh4OMOHD2f58uVerNaG3C5Y92eYl2EGJWcgDJwCv/tMQUlERGzNZ8LSmjVrGDVqFImJiTgcDhYvXnzKa+bNm0dycjLBwcFkZGSwcePGM+orOzsbt9tN+/btAThy5AhJSUn1zyclJZGXl3dGn90iHcmBFwfD8gegrhI6DIBbPoOBk8HfhvvTiYiIfIfPTPCuqKigV69eTJgwgbFjx57y/JtvvklWVhbz588nIyODOXPmMHToUHbu3ElcXBwAqampuFyuU967fPlyEhMTASgqKuLXv/41L7zwwhnVWVNTQ01NTX27tLT0jD6nWagph9WzYcNzYHggOAounwWpN2g/NxERaTZ8JiwNHz6c4cOH/+DzTz/9NBMnTuTGG28EYP78+SxdupSXXnqJyZMnA5CTk9NgHzU1NYwZM4bJkyczYMCA+scTExO/dyYpLy+P9PT0037G7NmzmTFjxk/9Ws3Xrg9h6d1Qcthsp4yDYbMhPM67dYmIiDQyW/z3v7a2luzsbDIzM+sf8/PzIzMzk/Xr1/+kzzAMg9/85jcMHjyYX/3qV997Lj09nW3btpGXl0d5eTkffPABQ4cOPe3nTJkyhZKSkvqfw4cPn/kXs6OyAlj4G/i/X5pBKboDXP82jPubgpKIiDRLPnNmqSGFhYW43W7i4+O/93h8fDy5ubk/6TM+++wz3nzzTXr27Fk/H+rVV1+lR48e+Pv789RTTzFo0CA8Hg/33nvvD94JFxQURFBQC5yH4/HAF6+Y6yZVl4DDCf1/b07iDgzzdnUiIiKWsUVYagy/+MUv8Hg8P/j86NGjGT16dBNWZCPHd5orcB/65ixe21QY/Sdo28urZYmIiDQFW4Sl2NhYnE4nBQUF33u8oKCAhAQb7pNmF3XV8OnTsPZp8NRBQBgMngoZvwU/p7erExERaRK2mLMUGBhIWloaK1eurH/M4/GwcuVK+vfv78XKmrH9a2H+RfDJ42ZQumAY3Pq5eelNQUlERFoQnzmzVF5ezp49e+rb+/fvJycnh5iYGDp06EBWVhbjx4+nT58+pKenM2fOHCoqKurvjpNGUlkEyx+EnNfMdngCDH8cul2pbUpERKRF8pmwtHnzZgYNGlTfzsrKAmD8+PEsWLCAa665huPHjzNt2jTy8/NJTU1l2bJlp0z6ljNkGLB1ISybApWF5mN9JsCQ6RAS7dXSREREvKnF7A1nlWaxN1zRfliaBXs/Ntttupr7uXXI8G5dIiIiFvk5x2+fObMkXuCug/V/htWPg6sKnEFw6SQYcAf4B3q7OhEREZ+gsNRSfZ0N790OBdvM9rmXwMg50Po8r5YlIiLiaxSWWprqUvh4Fmz8K2BASAwMfRR6XasJ3CIiIqehsNSS7FgC70+CsiNmu+e1ZlAKO/1q5SIiIqKw1DKUHjFDUu4Ss93qXBj5DJw3qOH3iYiIiMJSs+Zxw6a/wcqHobYM/PzhojvgkkkQEOLt6kRERGxBYam5yt9m7ueWt9lst+trLgcQ3927dYmIiNiMwlJzU1sJa56Adc+CxwVBkTBkGvS5CfxssbuNiIiIT1FYak72fgxL7oKTB8x211Ew/AmITPRqWSIiInamsNQcVBTCh/fDV2+a7YhEGPEkdBnh3bpERESaAYUlOzMMyPk/WP4AVJ0EHJDxWxg8FYIivF2diIhIs6CwZFeFe2DJnXBgrdmO72FO4G6X5tWyREREmhuFJbtx1cJnc2HNH8FdA/4hMHAy9L8VnAHerk5ERKTZUViyk0Ofm/u5Hc812+cNgRFPQcy53q1LRESkGVNYsoOqYlg5Aza/ZLZDY2H445BytfZzExERsZjCki8zDPj3YvjgPigvMB+78Aa4bCaExni1NBERkZZCYclXFR+CpffA7g/NdutOMGoOJP/Cq2WJiIi0NApLvupYrhmU/ALg4rvh4izwD/J2VSIiIi2OwpKvuuByc72krqOhTWdvVyMiItJiKSz5sksmebsCERGRFk87q4qIiIg0QGFJREREpAEKSyIiIiINUFgSERERaYDCkoiIiEgDFJZEREREGqCwJCIiItIAhSURERGRBigsiYiIiDRAYUlERESkAQpLIiIiIg1QWBIRERFpgMKSiIiISAP8vV2A3RmGAUBpaamXKxEREZGf6j/H7f8cxxuisHSWysrKAGjfvr2XKxEREZGfq6ysjKioqAZf4zB+SqSSH+TxeDhy5AgRERE4HA5vl9PkSktLad++PYcPHyYyMtLb5diWxrFxaBwbh8axcWgcG4dV42gYBmVlZSQmJuLn1/CsJJ1ZOkt+fn60a9fO22V4XWRkpP4xaAQax8ahcWwcGsfGoXFsHFaM44+dUfoPTfAWERERaYDCkoiIiEgDFJbkrAQFBTF9+nSCgoK8XYqtaRwbh8axcWgcG4fGsXH4wjhqgreIiIhIA3RmSURERKQBCksiIiIiDVBYEhEREWmAwpKIiIhIAxSWRERERBqgsCSWuuqqq2jVqhXjxo37Wc/JD3vyySfp3r07KSkpvPbaa94ux5Z27txJampq/U9ISAiLFy/2dlm2lJycTM+ePUlNTWXQoEHeLseWiouL6dOnD6mpqaSkpPDCCy94uyTbsuq4oqUDxFKrV6+mrKyMV155hbfffvsnPyent3XrVsaPH8+6deswDINBgwaxbNkyoqOjvV2abZWXl5OcnMzBgwcJCwvzdjm2k5yczLZt2wgPD/d2KbbldrupqakhNDSUiooKUlJS2Lx5M61bt/Z2abZj1XFFZ5bEUgMHDiQiIuJnPyent2PHDvr3709wcDAhISH06tWLZcuWebssW/vXv/7FkCFDFJTEa5xOJ6GhoQDU1NRgGAY6j3FmrDquKCy1YGvWrGHUqFEkJibicDhOexli3rx5JCcnExwcTEZGBhs3bmz6Qm3E6jFNSUlh9erVFBcXc/LkSVavXk1eXl4jfgPf0JS/m2+99RbXXHPNWVbsm5piHB0OB5deeil9+/bl9ddfb6TKfUtTjGNxcTG9evWiXbt2TJo0idjY2Eaq3nfY+Zjj7+0CxHsqKiro1asXEyZMYOzYsac8/+abb5KVlcX8+fPJyMhgzpw5DB06lJ07dxIXFwdAamoqLpfrlPcuX76cxMREy7+Dr7F6TLt168btt9/O4MGDiYqKol+/fjidTsu/V1Nrqt/N0tJS1q1bxxtvvGHtF/KSphjHTz/9lKSkJI4ePUpmZiY9evSgZ8+eln+3ptQU4xgdHc2WLVsoKChg7NixjBs3jvj4eMu/W1Oy9THHEDEMAzAWLVr0vcfS09ONW2+9tb7tdruNxMREY/bs2T/rs1etWmVcffXVP/s5u7NyTP/jpptuMpYsWXI2Zfo8K8fx73//u3H99dc3Rpk+ryl+H++55x7j5ZdfPosqfV9TjOPvfvc7Y+HChWdTps/z1jHnTOkynJxWbW0t2dnZZGZm1j/m5+dHZmYm69ev92Jl9tVYY3rs2DHAvKNr48aNDB06tNFr9WWN+bvZnC/B/ZjGGMeKigrKysoAc6L8xx9/TPfu3S2p11c1xjgWFBTUj2NJSQlr1qyhc+fOltTrq3z9mKPLcHJahYWFuN3uU04Dx8fHk5ub+5M/JzMzky1btlBRUUG7du1YuHAh/fv3/9HnmqPGGtMrr7ySkpISwsLCePnll/H3b1l/jRtrHEtKSti4cSPvvPNOY5doC40xjgUFBVx11VWAeUfXxIkT6du3b6PX6ssaYxwPHjzIzTffXD+x+7bbbqNHjx5WlOuzmuKYczZa1r+y0uRWrFhxRs/JD/OF/2U1B1FRURQUFHi7DFvr2LEjW7Zs8XYZtpeenk5OTo63y2gWrDqu6DKcnFZsbCxOp/OUg0lBQQEJCQleqsreNKaNQ+PYODSOjUPj2Dh8fRwVluS0AgMDSUtLY+XKlfWPeTweVq5c2awvlVlJY9o4NI6NQ+PYODSOjcPXx1GX4Vqw8vJy9uzZU9/ev38/OTk5xMTE0KFDB7Kyshg/fjx9+vQhPT2dOXPmUFFRwY033ujFqn2bxrRxaBwbh8axcWgcG4etx7FR760TW1m1apUBnPIzfvz4+tc8++yzRocOHYzAwEAjPT3d2LBhg/cKtgGNaePQODYOjWPj0Dg2DjuPo/aGExEREWmA5iyJiIiINEBhSURERKQBCksiIiIiDVBYEhEREWmAwpKIiIhIAxSWRERERBqgsCQiIiLSAIUlERERkQYoLImIiIg0QGFJRFq0gQMH4nA4cDgc5OTk/OjrFyxYUP/6O++80/L6RMT7FJZEpMWbOHEiR48eJSUlhQMHDjQYnK655hqOHj3qEzuhi0jT8Pd2ASIi3hYaGkpCQsJPem1ISAghISEEBgZaXJWI+AqdWRIRERFpgMKSiIiISAMUlkREREQaoLAkIiIi0gCFJREREZEGKCyJiIiINEBLB4iInMbOnTtPeax79+4EBAR4oRoR8SaFJRGR07j22mtPeezw4cO0a9fOC9WIiDcpLImIfEdycjKGYXi7DBHxIZqzJCIt3nPPPUd4eDhbt2790de+/vrrhIeHs3bt2iaoTER8gcPQf6FEpAXLy8ujqqoKgA4dOvzoNiZlZWUUFBQAEB0dTWxsrOU1ioh3KSyJiIiINECX4UREREQaoLAkIiIi0gCFJREREZEGKCyJiIiINEBhSURERKQBCksiIiIiDVBYEhEREWmAwpKIiIhIA/4/REGix6HKzd4AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"L = 10**(np.linspace(-12, -1, 100))\n",
"K0 = 10e-4\n",
"K1 = 10e5\n",
"K2 = 10e7\n",
"n = 4\n",
"\n",
"Q1 = (1 + L * K1)**n\n",
"Q2 = (1 + L * K2)**n\n",
"\n",
"Qtot = Q1 + K0 * Q2\n",
"\n",
"P1 = np.zeros((n + 1, L.size))\n",
"P1[0] = 1 / Qtot\n",
"for i in range(1, n+1):\n",
" P1[i] = binom(n, i) * K1**i * L**i / Qtot\n",
"P1_tot = np.sum(P1, axis=0)\n",
"\n",
"P2 = np.zeros((n + 1, L.size))\n",
"P2[0] = K0 / Qtot\n",
"for i in range(1, n+1):\n",
" P2[i] = K0 * binom(n, i) * K2**i * L**i / Qtot\n",
"P2_tot = np.sum(P2, axis=0)\n",
"\n",
"nu1 = np.zeros_like(L)\n",
"for i in range(1, n+1):\n",
" nu1 += i * binom(n, i) * K1**i * L**i / Qtot\n",
"\n",
"nu2 = np.zeros_like(L)\n",
"for i in range(1, n+1):\n",
" nu2 += i * binom(n, i) * K0 * K2**i * L**i / Qtot\n",
"\n",
"nu = nu1 + nu2\n",
"\n",
"plt.title(\"Bound oxygen\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale(\"log\")\n",
"plt.ylabel(\"$\\\\nu$\")\n",
"plt.plot(L, nu, label=\"$\\\\nu_{tot}$\")\n",
"plt.plot(L, nu1, label=\"$\\\\nu_1$\")\n",
"plt.plot(L, nu2, label=\"$\\\\nu_2$\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"plt.title(\"Scatchard Plot\")\n",
"plt.xlabel(\"$\\\\nu$\")\n",
"plt.ylabel(\"$\\\\nu$/[L]\")\n",
"plt.plot(nu, nu / L, label=\"$\\\\nu_{tot} / L$\")\n",
"plt.plot(nu1, nu1 / L, label=\"$\\\\nu_1 / L$\")\n",
"plt.plot(nu2, nu2 / L, label=\"$\\\\nu_2 / L$\")\n",
"plt.legend()\n",
"plt.show() \n",
"\n",
"plt.title(\"Hill Plot\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale('log')\n",
"plt.ylabel(\"$P_n / 1-P_n$\")\n",
"plt.yscale('log')\n",
"plt.plot(L, (P1[n] + P2[n]) / (1 - (P1[n] + P2[n])), linestyle=\"dashed\", label=\"tot,n\")\n",
"plt.plot(L, (Qtot / Q1) * P1[n] / (1 - (Qtot / Q1) * P1[n]), label=\"deoxy,n\")\n",
"plt.plot(L, (Qtot / (Q2 * K0)) * P2[n] / (1 - (Qtot / (Q2 * K0)) * P2[n]), label=\"oxy,n\")\n",
"plt.plot(L, (1 - (P1[0] + P2[0])) / (P1[0] + P2[0]), linestyle=\"dashed\", label=\"tot,nonzero\")\n",
"plt.plot(L, (1 - ((Qtot / Q1) * P1[0])) / ((Qtot / Q1) * P1[0]), label=\"1,nonzero\")\n",
"plt.plot(L, (1 - ((Qtot / (Q2 * K0)) * P2[0])) / ((Qtot / (Q2 * K0)) * P2[0]), label=\"2,nonzero\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"\n",
"plt.title(\"Probability of single states\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale('log')\n",
"for i in range(0, n+1):\n",
" plt.plot(L, P1[i], label=f\"Deoxy {i}\")\n",
"for i in range(0, n+1):\n",
" plt.plot(L, P2[i], label=f\"Oxy {i}\")\n",
"plt.legend()\n",
"plt.show()\n",
"\n",
"plt.title(\"Probability of Deoxy vs Oxy\")\n",
"plt.xlabel(\"[L]\")\n",
"plt.xscale('log')\n",
"plt.plot(L, P1_tot, label=f\"Deoxy\")\n",
"plt.plot(L, P2_tot, label=f\"Oxy\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "venv",
"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": "3.8.10"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}