2024-08-17 19:25:00 -04:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "343914f4",
"metadata": {},
"source": [
"# Interpretability 10B: swap"
]
},
{
"cell_type": "markdown",
"id": "05a17f9f",
"metadata": {},
"source": [
"The multitask parity problem has 10 input bits $(x_1, x_2, \\cdots, x_{10})$, $x_i\\in\\{0,1\\}$.\n",
"\n",
"The are five output bits $y_1, \\cdots, y_5$, where $y_i = x_{2i-1} + x_{2i-1} ({\\rm mod} 2)$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "b0ffa41a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"cuda\n",
"checkpoint directory created: ./model\n",
"saving model version 0.0\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"| train_loss: 8.26e-02 | test_loss: 7.72e-02 | reg: 1.66e+01 | : 100%|█| 20/20 [00:04<00:00, 4.93it"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.1\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
}
],
"source": [
"from kan import *\n",
"\n",
"device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
"print(device)\n",
"\n",
"model = KAN(width=[10,10,5], seed=1, device=device)\n",
"x = torch.normal(0,1,size=(100,2), device=device)\n",
"\n",
"#f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]])+x[:,[1]]**2)\n",
"f = lambda x: torch.cat([x[:,[0]] + x[:,[1]], x[:,[2]] + x[:,[3]], x[:,[4]] + x[:,[5]], x[:,[6]] + x[:,[7]], x[:,[8]] + x[:,[9]]], dim=1)\n",
"dataset = create_dataset(f, n_var=10, device=device)\n",
"model.fit(dataset, steps=20, lamb=1e-2);\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c33be2a1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x400 with 166 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "da26aef7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.2\n"
]
}
],
"source": [
"model.auto_swap()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "726e6b54",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x400 with 166 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "008ec601",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"cuda\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"| train_loss: 4.58e-03 | test_loss: 4.63e-03 | reg: 5.09e+01 | : 100%|█| 100/100 [00:04<00:00, 23.41\n"
]
}
],
"source": [
"# MLP\n",
"from kan import *\n",
"from kan.MLP import MLP\n",
"\n",
"device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
"print(device)\n",
"\n",
"inputs = []\n",
"for i in range(2**10):\n",
" string = \"{0:b}\".format(i)\n",
" sample = [int(string[i]) for i in range(len(string))]\n",
" sample = (10 - len(sample)) * [0] + sample\n",
" inputs.append(sample)\n",
" \n",
"inputs = np.array(inputs).astype(np.float32)\n",
"labels = np.sum(inputs.reshape(2**10,5,2), axis=2) % 2\n",
"inputs = torch.tensor(inputs)\n",
"labels = torch.tensor(labels)\n",
"\n",
"dataset = create_dataset_from_data(inputs, labels, device=device)\n",
"\n",
"model = MLP(width=[10,20,5], seed=5, device=device)\n",
"model.fit(dataset, steps=100, lamb=2e-4, reg_metric='w');"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "c73085a7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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7d7AoBiKF9K5NTYVEkX0lMTFgsfvjD//vp4ONG5mLF8c6GhtrQngzw4z03HOqcfpq51+7hrU2I2GzMc+YgfSKzz5z3wzv2oVQyddeQzi7JoTAotqggfpW5QHE/S/AmbHdmjcPM8es88sMJIn5r7+YixSBBmfWTBEANGVTcjKzENyrF4ItnOjZE/tUf28m3zA9uMZXrUKkxa1bgbXjq28REaDflefN0aNY/LdtC+y+Cig5uxcu1O6SpvDeuRNjocJtr9XWiRPw9WUUNm1ibtYM66/S6ma1Yi3KlQvC3efUGTgQgeAZbK7MTLi/Bbj8FUyYgDjf06cxAeLj07YDSUnYJ2bPDkGZVlq/A7oTPzWVWZJ4yhSPcO7Ll6GF++sX8JQwMtd427bB5RqPioLDeNmywNvyJSHk0AdlvN0//8CpGYSEpkOHEMDk5Ow2K7wTEhAPqJFSqdXe7t0wWaQ3zpxB8FLdunh9yv6dPIlgokaNDG4Ef/8d/qzMmliWQXgwBHhsLNzw16/D8TF2bPp05No1zODcuRExoBoLFTh05ZLFwmy38969XtFm2I5+8UXwbp6YCENmgQLeRTX8bbt9e+YuXQJvS27PF65fZx450mWcZYbPoG5d40lDHrDbUU8gVy7mP/+Egm9aeDMjxu7NNzVP0Lpu3Tp0P70QEwPNulIlyF2ltUMIfH7h4dgMG3KfzJsHh63bFjIE5vtdgDO7tsNvvYUZExGBgNP0tKHt3QszTrlyEGxBNjPoNme1MlutnJSEqnJuj33mDHYJ0dGBd0DZiRUrIMS7dg2s+tFff4HDJS4usP4pYWTs//3XnXTEbkfkjR+0DBcuQMusUwcuA73b6wrvVatgmtPY3ei1u2gRWBHSGlYrfMxVq8JMdPOm+3E5gKlyZRMURevXQ9rv2hXs7t4XuC8FOLOKHXzlSuwjhYBHL5BoBn87NG8ePFctWniFfwXatCbsdmec8MCBqBfohvbtYcMORieUHblzB+aUMmX8+/iuXjVOVGUGRgR4YiIyaW7ccP0WHY0iixMmGL7N9Ol4hO+/xyvwW3jLRFU64Rl6bU+fDi6VtIIQkLNNmiDFICLC+xxlqKTh6MwDB+Bb0Q1LebBx/wtw+cuw2WBL3bcPRsHatb0SINIFycnMQ4ciLKBbt6DYi3VlkiQ5v5i//4aJ1w0REdjbB8Mv4CmFhIB3KmdOxMwbNSFJEqIs+vcPvE9qfTSC3bvRdyUiIqAN7tihe+nt21i7ypVDM7rCmX0cFwK7x08+8e96hhnj/fd1u+w3Tp4Ey0K9euqby9hYJEQXL26S3PPcOThrZ84MXmfvQ9x/fOBqYAZx8LvvEs2ahVJqRYqgFlV647HHiAYOJDp5kshiQcmnUaOIrNa0uV+WLE7S6CpVUITHDVWqENWvTzRhQuD3CgvDPyVJ9XvvgWt982aievWITp/23c64cahc8MMPgffJXzzzDFFyMtHx467fqlRBybY33kDhRRWsXIl6CgULgrO7dm3XsKjBjc9bDX//jepRI0bodlevYlhacIHHxBANGkT05puYPhs3oiaIsh+bN4O/PCzMg7PbF27dQoHLvn3B7R+CNjJ6BUkrqNrBjx3DnjY1FepAw4YZnwxw4ACMpGXKgO/TpH3c0OkpKcySxFYrtCWvKKxdu6DtBNMv4Nkx2ZOXIwcSnvRi3sLD1ffhadEvPZw/D9ZDz51D//7Mzz7r5tSUE1EKFYK52pdWLHdF9xyZqMqHxu/rPgMGqDiw/YTFgkjLKlUwDGobSJnIMm9emE5MIS4OPqo+fTJH5lEmx4MjwOUfatWCV0cIxHNlBpJkIRAUXLIkAmZNCC9Dc9wRicIMtrctW1TOadYs+Ex8ahLq8GGEJ7zwArxaSshEVT//HNx+ePbJDObP99772+0g8OjalZmx/pUt60pECYrwlomqBg3y2Y4vdOsWePqDEKh/0agRiDm1XDiHD8NJqfZ6fSI1FcTl77yT+YuJZBI8GAJc+bWMHQvmHGY4R55/PvNMlpQUCK/wcEQ8eLrxVWBIHjkiUZgRYKEaRblhA+Jsgx3qqCapUlKYP/8c9ANKFe277/wjqvKnT0YREwPp57ltiY5ma4mn+NtW+zl3bphqjQhu+fY+z/v9dyxmPvw0Ru7XoYNh36sqjh+Hr7thQyQZq91T3mCFh+tvsDQhSVgZWrTIGN/UPYr7VoAzezgyZSEdFcX8+OPI6pMkFH3QKzWWEbh5EwI8PBxfhU78saEPxWZzfhSXLmlwAAmBWLfp0/3uti7UOrpxI6Ir3n0XYQyBEFUF2hc9bNrkVdTi5EnmWhWTuHHWbXxx0YHgCu8TJ1SJqrTa84U2bRCRaRZ37sD8UrkyFgAtuXrxItbdWrX8DNUWAglvzzyT9kl29xkeDCem0rOSOzfRiy+iGG6WLESffgqnmVrB34xC/vxEkybBC7R6NVGFCqiw7W8fFY7MYsWIhFDxwYWFwSs1fHjaFHRWOjdlNG0Kr6ok4Z106UJUsmTw7x0o6tcnunGD6Px5YkbN4Hr1iNp1/h9tmHWdivdoTXTjhq4jkciAw5IIzuz330ch6ooVfbbn655E5p2YFgvRn38SNWuGqbNpE1HXrt4F3pmJZswgqlkTr3LHDqKnnzZ+Hyd++gnzfMWKB6MQcTCR0StIWkLTjLJsGVh1mKGd1qsXVL6LoEII2OlLl4aac+CA12FDbSgclKNHu+epOCFJULdMe55MQE0F7dED2lfu3DCtpDWNqz/OsWPH+PqwGfxCC8FVqrgSUYRgeOzq19fd+hvV0Pm772AHNmBGMvoYNWqgVreR9laswKO8846+Ni1zdj/1VIA5Ng9gIeJg4sEU4FYr2ITkr3DWLNjfMjNSU5HinTMnUuAjI40LBWYIRcfJGzaABVYVf/+NVLq0jABQdnz1akRa3LwJr1eLFnByGk7V8/P+JrFgAXO+7Mncr8N151A6m7HZIHQ1yMEMv6fduzEWBqpHmXn3Tz3luwjTkSPI0m/ShHntWv22DXF2G8G//z6QhYiDiQdHgDO7Oyv79EG+LzOEY82aKmmKmRC3b+PLyZGDxZChxkP/UlOdWt2dO0iuUFXy7HaENKZ19psQ8EcULuweCSQEvGA5csD+nxYOTRMCXE5EKVGCefPiaOZffmERn+DdRFQUTpoyxetWhm6XmIiiIwYTV8ysQfnzIy9GDTdvYtNTpQq6rufDTkzE1CtYMAhUN3IhYlPZPSF44sEV4IcPQwuXZ+zEiahKfq/g6FEWzz2PFLd583x/0VarW8x7z54aRWKZ8SXXq5f2cbhvvaWdIijT1TVs6B9vuR4MStVNmzC8nTq5ivWIFSuhOarh0CEIJUcdMFM7pB49kIdu8AIzr+Z///Nm4k1JQaBLpUpIkvVFhyOTTb72WhCShx/wQsTBxH0vwDXNKMywg8sfY2Ii1JDjx9O1j4FASAKqUNmyMFzu3at9siIShZl50iSd78diQXRIWmpHc+e6iKq0JJ1MGJ0zJ6Jjgrmg6LQlRznmy+caI2cXk5JgytIKcv7rL+bChVlE3jDe3dWrdYmqTHTdCzYbyqnJbgUhMOWffRbBP75Kusp077lyBekVXLmCZ02jQhkPGu5rAc7sQ4CPGuXO8vPbb6j8co/A+ShWKzyTuXJBXVTjTJYkt3DEPXt81IP9/XfEyKcFZKIqZUaRnrq6axfMOm3b+ijZYgIa95ITUV580SWjvbq2b59u8QrRpy+L+g2MxTNHRSH+3oRNwmwY+8MP45rDh6FBN2uGCE5f7Zw6BcqgRo2C5GOMjoaZ6Ntvg9BYCMwPmgBndjej3LqFmHC54EJsLBgLz59Pr+4FBFU7bM+esB8PHuzOae0RiZKYCHpZzYCPpCSooHpavT+QJDgq+/XzPqYnxBMTkflYoEBw7PMe97Hbka+TMyfKfcqHVbsjSTC5qWTMCsFQe5s1A3+3rz68/bYzo9PPruvi8mVYdXr3xoZz+nTf7BFCYAxy5gyiG0IuRPzxx2lvmnuA8GALcGZkOShTyIcNw/75HoDmd3DiBGgCihTBll4+0VFeTcaXX3pFJbpj+HAUjw0mxo6FiqsXKugrBCJ/fhCPBBICobjHxYvMjRtD25RD53zary9dwo5NsatxO//OHRjQvegfFZg7F+YvE8krZmRfcjL4Sh5+GJS2sbG+r7l+HbuPSpWCGBxiszG3aoWaahnNPXSf4cET4J5f5qJFSCGTcfs2tnmZvHSToQ951So8S926MEM4yqvJmDvXmzHVDXFxUMOOHg24v8wM6RgebixEUO8Bb9+GMHjqKafD0DSEYCHw/Llzw84r+7MNOx8XLUK5G63uHjiA592zx/vY1avYTWzfbrbbPiFJzIsX47W//DLWCCNYsAAJoEENxRcCYa8NG4YKEacBHkwBrtTCU1PxBSvTlr/+Onj0bWkEw5qYzYYdRu7cILRQGDOPHnVFUmri66+R1REorFYslJoB6CrQk6RCwB6QMydsqiY5XG7fEvzaaxBuykQUU7v7u3eZR4xgcUen5uns2dgJKXltJAlsTwMHmuqzkf4dOIBN5XPPwcWwejX823q4exeuk2LFkCMQVMiFiI2o/yGYxgMhwH2aUXr0cC8ecO0aNNdgFucNMkybEWNimD/7DIWMv/2WOTGRrVbIZt1v684dlF07e9b/zjJjD9+woXmDqi91+MIF5gYNsDhoxkW6Y8UK0L52+0Q4rTCmQv6U3duyFVsZPfTuDU+gvMiMHYu8A5M1NvX6d/063B/Vq2PNkC0V//wDa5oW5FDJjh3TQMaOGRMqRJzGuO8FOLOGAFf+uG8fvmilfe7zz2EPz6Twyw9kt0Ptbt0azztzJv/4g+S7almfPn7Vg3Rizx5oyv46h31JV7sdmn2OHO4eSA/IiSiFCjn8oI7z/BbessPy999RX1QLVitSHHv2hBkpb16/zFJqfUxMRFRjxYrMP/7oXT506lT1JGOZsztPHi+eruAgVIg4XfBgCnDPL1YIfAGrVrl+O38ev2XSrZ9fAlwIl3Fz3TrmSpV4WZm+PK6PRpqejOvXoblfvWr+nklJqC02ebL5az3h66EPHcI7UyGj3r3bxdnt3Fg57OABd+XkSZip9Bx0t27BlFK6NPOvv/p1P+U9JQk261q1mD/8UDvM77ffcFyJiAikPLzwQhopx+vWuSU0hZB2eDDYCNWgZMYLC0PpppkzXb+VKkXUqJH7b/c6ZEZAZqLnniM6dIiqdK5BR//cTtyuPdGlS+rXFSpE9M47RL/+av6eX36JsnFdugTUdSJy778aqlUj2r8fLH5VqxItXEg2G9H336Pc18CBRAsXEuXN62rGCJufJ7yue/ppovBwoj17tC/Kl4+oZUuiy5fBbugH5Hvu3Uv0yitEU6YQ/fYb0eTJ2iSOSiZCSSL65Reixo2JPv6YaNUqosKF/eqKNg4eJGrXDmyfdeoEufEQvJDRK0h6QDOWV4nr15mfeMJd4z5+HMROATH2BB8BhdE6yqsp23q/g4Wvd/sRtu6BA9XD2s6fx3EzfoE1axBLbqAwhSkYsXls2MCnCjTm2rnPceP6NjcN1Xm5HwOpecnt26hkrxUSuGcPxmLkSGS5eua2G7jvlSvIM6tRA9GhRtwJX3yBCBs5VNJvzm4jCBUiTnc8uBq4Jz91oUJEDRsS/fOP67cKFYiqVyf666/0719aQcENToRhqFwzGx1p8zWq8J48SVS2LNG0ae684KVKEbVpQzR6tLH7xMQQffABiiXnzx/cZ5BVUQ1NnJnoj1PN6NnUjfRGsb204cpTVPLyZucxvSLDetDV2PPmRdHjDRu8jyUlgeN7xAiizz8natsWWqrNZui+CQm49KWXiIoWBU38O+8QZc3q+9q4OKIzZ8DZ3bhxAJzdviAXIv7881Ah4vRERq8g6QFVrUlNi5s3D9liSuzf71fEQFoiIA1cUV5Nxvr1HjUTN27EzqN6dXci6ePHYduUmZ308Pbb2kRVwYTHYMiJKJUrK8LN589nkSs3i74qAc7BJI9KSYF9+8oV99979QJlg9yI1YqolM8+023ObseUrFkTyZoGWGbdcOcOlP18+QLk7PYFuRBx376hLMt0xgMhwJkNmlFSUhAt4cnw064dOMMzCQL6Rux2L46O27cRB+y2JbfbwUqYPz+EjxxB0rYt89Ch+vf4+29Qq3qGRKQVHAOycCGElWciihDM4uo1cLtUruyeAm9gME2N98GDcNjKF61ZA8pcT9OT7NTUmFe7diH8r2VL/4TvypWgfS1WzEeyVqBITQVtQIcOmae27AOEkAD3RNeu3pXAt20DfVsmSQMOSIBLkmqa3aefajDTxcUh5z57dsTKb96M8DAtv8C1a4hNM1ICJkhAIorg4sUFb9zofsxtrCQJMdg5cmDLYbf7HEzTYy0EBPiBAy6iqv/+Uz93717saBQ89JcugS7kmWcQ3md2yiUmwk5eoABu27ChRvWlYCBUiDjD8eDawInU6zS+9x7R7NkoHCmjfn2iPHmIli1L3/6lBTxs4DKqVCE6elTl/OzZUSfz8GGiixdhu82XDzU7PcGMaJPOnWFwTQds2YLgE+YwOnyIqGkTdnbFy2adJQtRjx5Eu3cTzZ+Poo9akTfkZ5RKWBjRCy+gkOSnn6LWZ6tW6ufWqoUwktdeo4SLUTR8OKJlypSBnbtdO2N2bhl79hDVqIHynUeO4LYJCWlUZpKZqHdvzIlFi7wLZoaQPsjoFSS9YNgOLgQChtevd/99zRpUsM/gbWJQTIwekSjM2KYbYvncuhUcJA8/7B43z4xYaF9EVUGCnIiSN69HCU8hWEgG4rutVvDphocjasLjgoDH+fPPYTrxYUay2Zj/en46V3/iDH/aTXILtTeaYGS1ItE1Vy5vlttSpVRJEwPHsGGYB5k4W/lBwIMtwJnVBfLQocgt9jzv+efTvtSYDwRFgFssXjFoCQnwOxry1UoSFrkcOcBWeOYM0tjDw9OlvmFEBHysaokozvExOlA7diC55vXXnVzjAY/xtWvwHXTrphsuuG0bnqH1yxLvrfYRMl4VMNIPmbO7YUP1ZJ48eYJf0IinTAkVIs4kCAlwNQF+5QoyDz21p6VL4VnKQE97UG7tUV5NxoABJuTvypVQ7wYOxFgVKJDmRP12O0KtPTm7mTW0VaMqbHw8DM8FCqBkWiCQJITBfPUVFofZs71OuXCBuUsXCN6FCx1T8OZNaOyK8/W6LnN2h4eDRUArJvyRR1x090GBXIg4LYtOh2AYD4wAZzZhRmEGndvUqe6/2WxQdTZtSovuGUJQBLhHeTUZc+aYyMEQwpVR0qcPbBm5c6NUVho4ey9eBJ2IkrNb2RXNcTEixGVOlH//c2nO/iZvjR/vCju12/G3o8N37zL/8AOy/UeNcq+3wcxI9gkPZz54ULfLkZHQI3xxdqemwhMQNP9iqBBxpkNIgGt94LNnI3XNE3PnglAjg7TwoNzWo7yajCNHTNayWLgQWnjOnMjC27EDErZiRfgMggAhsKjkzq3OGmtoPHwJcSUnSiBc46dOYSE7csT129mzbPttLM+cauPq1RESrlVOk5mhNBQvzuK2eum4hQuNc3bfuQMNPCg4dgwvYeHCIDUYQjAQEuDM6maUxETYeD0Z9CwWCKkMIuoJigAXQpVcX6aXNZKnw8wwnGfL5l5HVJKw+BUujGoCAeRt37kD07QnZ7f8CH6F+Kn9LKk4sqdNw8KkrPSgB6sVFRRGjnT7ecsW5ucq3eBXGtzRr36kRPfuLJo2c9vJ3L3L/N57SMwxytl94QKEfcCQCxH/+WcQGgshmHiwwwiV8Ayte/xxotdfR0ihEtmyEXXtSjRuXPr1zQEtDifTkHPJPRp8+GGkWauGE6ph0CDQDezd62orSxaid98lOn0aYXJ16hB99hlS601g1SrwUeXNiwz/unVdx+Rb+RXi5/HMqqGCYWFIfT9wAKnx9evjefQwfDjR//6H0DoiOncO0ZQDBhD1GPA4LW41nWqUjjPUTR71G4VZLSACI1eopCQhPLBZM0PNuBFZ+Y2YGIRFfvAB0SefBNhYCEFHRq8g6QnTdtItW2Ai8NTQk5KQOpwm8VnaCKrVRrbRemDJEpixfWLtWqQ9XrmCrEtHaTEvXL3K/O672H7//rtPbVbm7C5YUD3gJ2g7EKXZxBfX+PDh+lzje/diLC5e5JgYKO2VKjGPHq3Y6Kxfb9j8IAQz37jBqYVKcv9WxzlPHqTUm8W2bShk7DeSkpDAFipEnGkREuDyATUziiRBgKtlFY4dG1iRAz8Q1G9IIxLl/Hkko+reKyYGW+pFi/D3H3/Aw6iHPXsgDJ5+WjM1cPduUIe3besdXuxv0QUtCEnRoJHGDx5krlABESaRka7fk5KYK1Zk2+TpPHUqwhv79mW+ccPj+tRUkHP7iOmTuxIRwVylTCK3eGg9X1tzTPcaLaxYAcoVvyAXIm7bNkhl6UNICzxwAtyUHZwZGRIffOD9e3w81CzV/PO0QVAFuEYkihDMnTu7yygvvPMOTpKRkgKVeccO/XsKAZ6UYsUQAO2oQyonouTOjTKXarlVQRXeSs1bKcR9ISUFETd58ji1adGzF29o8C03bYoam7rRdRERzBMm6CaD2WwIlQwPx4ZFmjgZOxw/YgH//hsy2DSEABFZw4bpkpQVgv94oAQ4sx9mlAsXwAOiFlY2YoRPRrlgIqgC3G7XzNr59VedIJJ581BE0dPTOXIknJZGkJzMPGQIc44cfOrt77lOTSs3aqSeFxLsnbupSCQtrF/PXKQIn3q2M7/72EKuV8vK//1noAnZObp3r+rhS5ewkalZk/nECcWBTz5BWKvJ8MxJk5CcZRpffYWM2kxajSoEF0ICXHlA62DjxuqscVFRKH58+XKwuqeLoAozITS1q3XrPOhlZchEVWpxwAkJUKENZgIJwfzHsFjOmS2Bf37sW7aP/M1tRxBsrVtuUxOedVJ1EB3NPOjTWK4UdozHPTGAU9ZsMd6J69ex2CmCwOVQyVy5kN3vtTGyWEBz3K+f8fswbtO1q6lLUIi4eHEfsY4hZBaEolBkqBFbyXjvPaJZs7x/z52bqH17oj//TNu+pQV0ypNVrkx07Jg7nxcxE334IcaiSRPv9p54gqhXL6Jhw3ze+sYNkDb9+Xc4bdzzBPXf1oayLltMVKkS0X//EQt2djFY8ElM5aNIBBHqL0yZQtS0KZF143ba0GEafTqlOj36zmtE/fsTWSy+O1KoEErMbd5MRERRUSCt+vFHov/+I/rhBxVeqGzZUAvur7+I5s3zfQ8H4uNNElnNm0c0ZAjRmjXoZwiZHxm9gqQ3fGphaoiPR7q4mqYdGQkt3MtrFVykSRBAaqrmM3fvznz2rOKH8eNh89ezicbEIFrj1CnNUxYtUufsZiGYFyxgUbwEc/PmQY3wMZzsI/9Xhdhq7VpsxN58k/noL6uQ6CNTLVzT4BrXQmIi8y+/8Kq/orlQIWjJCQkG+rlzJ4zjBtPY+/RB5qchhAoR35MICXDPg1ondOoEu60aBgww8aX4hzQR4BaLpl11wgRXkAmfPu1M8faJ/v3dHZwOyIkoxYqxF2c3s2LoU1JA7hEeDslmsnakWrt+nej4++RJ2JEbNAD5orh6DbwvW7e6ny9J8DrmyAEvpE7kRlIS86dv3OQCOZKcVOGG+zlxInPJkrDj+ECXLghl9In9+5G05MkuGUKmxwMpwP2yg69fj5RAteMXLyLEzMBH5S/SRIDbbJpx2Tt2IDKEbTbmOnV8V+GRcfMmdiuK+l+bNyOQ4t131f1iqsN+4wbzhx9CsIwY4VdJu0AyNe/cYf5ygODKlZGAmJrKENIvvYQFWwsnToAjpnFj1Rpoe/YgVPLVVwTfHjGd+ehR8339+GMUUfAR3teunTedjxfOngX/SyaqOBWCcTxwApzZTzOKJEF91AqV69kTmlcaIU0EuE4kSnw8NE/bN4PhQDMTAfHpp8yffsqpqfC75c2L6jJq8Plchw4hNKNUKebFiw0PhF/jJQRbLBDYlSsjGOPObcXq8scfSODyFVpnsTB//TUWHwfXuM3GPHgwHJVTpzqaPH+eefRoFqkWc/1NTUXavt5CwghZX7BA54QbNzCuaThvQ0hbhAS4J/QKNnz9tbZb/9QpfPXx8QH1TQtpIsB1IlGYmcd03Me27Dk9jOEGcPkyR/yvLletaOUWLbw5u+VbmzJvLFkC3u7GjX2acvwZKyGYV64Q3KAB81tveYTxCeEiqjJjm9+5k7l0aT7dogfXqWnlBg28qXX4n39YbFCxKfnC9euIvddaGRnrrmY4qFyI2BR7WQiZDSEBrnZQ6wTZFqxCBMXM2PKPHx9w/7S6lSbQepbkZI4tVJ53vT/RVHNOzu5sCTz2uSWq66HfIYKpqS5C8C5dVB3H/rR79Cick40bC167VqUNqxXSUDW2UhtCMP85OoVzPpLIw54cyvblKjbmmBgWP4/wz/y2fTvmo5L9UIHKlbGGeCFUiPi+QUiAqx3UO6FePaS4qeHwYWg1WkLRT6QpDYVKeTVmZv7sM45r1Iq/+Nz4zeVElGeeYT6x4gIceh6CKSjPcusWklvCw1Hay7GLMNv2rVsoy1alCuoQWy0aDfzwA8rpGSiCLCMyEhXlK1Z0bBj+/Re25u7dvWLAedMm/8hOmGHvKVVKdQEoXtyZ7OqCXIj4hRdChYjvA4TiwD2hFw9OpB0TTgT6vAoVTMXqZjjUihyvX080dy49OnsyXY8Mo/h4/SaYQdpYsyZRw4ZEO3YQlW9ZEix2Y8c6z/GrSLAa8uVD7P3WrUQbNxKVL0/8zwIKI2N0jampROPHEzVvTvToo6g//OGHYGP0wr59YJ6cOhUVhnXi52UsXgz2wHLlcHn16kTUujWoBK9dww9797ouqF+f6NYtovPnTQ0DEYEZs2lTonfeAV2hAl5x4Mxghrx4EXHloULE9z4yegXJCPhUovSy8mJjmZ94QjtTbdcuRG0Y4ZA2iDTVwK1W977GxoJ02sH18f33+hQnd+4wv/EGwqK9tuuHDzPnysUiLj7tnkEIVNIpWxaxfvv3653K//2HTdS772qEqys76iCqUg3lUNmp3b2LCMqiRb1rYrtdN3Uqdg+DB7OwOpzDx4/DSeoPcVRqKubcV1+53eahhzyifoYODRUivs/wQApw5gDNKG+/zfzzz9rXtm3r/5ZYo8k0g93uvpV+913EvDuweLE2j//q1ajbICeiqEG0fJnFiHSIzrFYwPaXKxcCzj0W2MOHURyiaVMURNANJZXx2Wd4l1onK+bJli0IlezQAflMPnH+PIt69VEcRCZEmznTu3KFUVxzxKc7wk6Sk7FNcK4HciHioFc4DiEjERLgWgf1nDurVkEz02pkwwbweAapNmSaCnBJckWizJ+PUEkFUdXZs+DnVvYhMRGRggULMi9frt1nIRhqeYECacJqpzouUVHMPXrA/v7jj3zjQjL37Qua12nTDLwSudH167E6+UgkSk1l7t9PcJ482q4RzVvZ7LDhh4djlbxxA05ardXQF7Ztg4P36FG+dYv5f/9z/L5sGRa2dOavDyHtERLgWtAT4HY7c6FCmqxyLASCcJct87t/ns2lKZKTobHmyeOVJilJUGhv3sTfe/aA0vvVV7V34l4bmKZNDVaJMA5fY5J84ASPfvpPrvTwSf7utSMcE21wEIWACl2iBPPSpbqnHjmCheH555mvXjH3ktzGSOYaf+klVJb+919Tbblh/Hjm0qX57P67XKAAuyJV1DjtQ7jnERLgeifonTRgADQ9LSxfjmy5AMO00oKVzwvJyYhK6NtX9fDIkajBICeiTJtmyKrgwrp1CIkIkl9AbzwkCSHjdevCHn12ymZw1Tz7rDGeDyGYO3ZESKjOPUaOVHB2S4pr/U00Sk5m7t0bi+h776kHzxtt+P33+UC9Htyy+FEwRDo5EUK43xAS4Hon6J10/Dg+Dq0Ub7sdMXVr1/rdR7kbaY7ff4dJSMPM4SiUzg0bqiSiOOCToqB2beYZMwLuqt54HDzI/Mor4MJyUzitVlRQyp0bRuorV7QbmTePuUwZF1GVBy5fxoaiZk1MAdUOGnhpmqesXw+2r3r1/OfjTknhXaXe4RtZCoYKEd/nCAlwPfjSnmvX1q9z+M8/zG3aBCSF01yAnzkDVVLFHCQEvv+cOUHvoaVAG5JZS5eCBCSA8lxa94iMZO7VCyH4M2fq2Lmjo+GYzJ4dhSs9i3TI2Y0q5gYhmGfPxhrw9dcGQqh1BsTnWEVFYW4VLAjvqFlERXF8wbI8I8v7Ie37PscDK8CZA7SDMzOPGwcBrQWbDXv57dtN901GmgpwuX8//OAlkeRElEqVmA8cgCPz3Dn1/hleDCtV8kHOoQ21eyQmonpQxYp4BM8iQZo4dQq1xgoXBomTHDbasiXYFD1uFhWF3JfSpX1XjfPZae2f3XHpEkw5OXOCUMYomVdSEnPdunymWVduU+82rvfK5gnhfkFIgPs6Qe+kqCjmxx93efjUMHMmyDX8RJoK8B9/hG3YYnETEDJnd58+rqTSP/6AbVnZL9N9mzsXarLJCz1PlyRsfGrXhqlarRSbIaxdC+lfqxZSMmWiKsUNV6+Gv/qjj/ykuVEZKMOPv2gR819/wSZUpYpmyrwTVivK2rVtyxPG2/nddxmmo6eeCpVHu08REuC+TvB10htvMI8apX08JQX2ByNc2hpdSBPs3w/TydmzuElyshtn94YN7qdv3w4nptwnv/pls0GN1ahKrwbP++zbx9y6NfzD27b50Qe1Pn3/PXNYGBy5ly4xC8FJSfBR588fhGAixYCZGre4OPCv3L6NUmc5csB7qkUw07kzwldTUvjnn5G1z0Lgpb78coj35D5EKJVeD77S6omIOnXSTq0nQq72Rx85U8rNwNet/UZKClHHjkQ//URUpgxRWBht3ZGFqldnstuJDh8matbM/ZJKlYhOn3ZVDfMrJf6hh4i+/JJo6FBDD6dMvb92jahHD2SOv/UW0YoVRA0a+NEHNaxbR/T993jIKlVo3wd/Uo1qgq5eRfZ7mzYBtm+gXJsqsmcnevZZ9K9XL6KdO1FWrXlzosuX3c8dOJDowAGiZcuIHn2UEhIcafRhYUQTJiBV//vvA3yQEDIdMnoFyUgExZFptcLeoFfMNzERW2A3jlLfSDPtu3dvaGRCIBGlP3PevILnzdV+ViHAPBpwLojFwlykiK5zTqnhJyZCCa1YETkvQWfrHTIE0UJ2Ozi7e0VxzofjeUqOviymTQ+q1ioEs5BMvlSbDWYQOVvTYmEeNAjxnLNno9HRo70KEffq5VGD48oVzNPFiwN+jhAyD0IC3MhJvk7s2xcGYz2MGoX0RRNIEwG+fj14rSMj+cgR5mrVHIko57XLq8lDMGsW8kwCxujRsIHo3MtuR2LoM8+gAE2aZIDv2wehdv48nzkDf279+sznzgqMU5UqMH/5EwmiAuf7NGuDOnUKDnPl+9m+HSyEdeogdtyD2KVzZ0SHumHzZjg1TSoSIWRePPACPCh28MOHIQj0ElViYpBtpxVIrXHroMJBVCXNX8C//opveexYh5KpUV5N+fiHDkFbDxhJSVhEPEIX5Xvt3o2AkJde8p8axFAfKlViMXkKT5iAsRg2TBHlKK8ikyfDEP7GGwF4S11Nuv1h5gXPmeMdzbR0KfMjjyC2cfVqt0Ovv64Rdj9mDIi/DIfshJCZ8UALcOYgmVGYEcHgy9s1ZAiiHQwi6AK8Y0e+1LY3N20KzdYtEcWjvJqafElNBY9XUMwYw4aBKEpxv0uXQIxVsybyaQIIGfeN3r35xoud+eWXBVeogFBJNygfPi4OmbfZs+O/Gkk+elB9l2aE+J07sCXJ91YWIl62DArEp586ucaff17DWiIEyMpatQo5Ne8DhJyYRhGoM5MIzswVK4giI4PXL4PgfxbQnJW5qOaWX6l+fXB2V6igOEHBCy4/qqej8pFHiMqWJTp2LAgd6t6daPNmouPHKSEB/tSXXyYqWRI/t28P+u00wYYNtGRWAlXdP4WeeiqM9u8nqlFD5/zs2dHBQ4fA2V22LNGUKV7826YRFmbMUU5ElCcP+OY3bCA6dw6DNWYM0Ysvwst69CjR1avgGt+3z+XEVLvnhAmYgz/8EFj/Q8h4ZPQKktEImh381i3EhEdF6Z83aBDzN98Er28GEHXsBr/5yFIuUzhJPxElOZmFJHTvu2gR84QJwemX/auveU69cVyjBkLe9DLcg4W4SzH8wRPzuEjuJF63TudEvUHYsgU7rqpVvci//GnO2AmMkNTvv0ec58iR6m1MmcIcHs4V8t7iPTt0qBcvX4bW7oOwK4TMjZAANyrAjWw3X3kFRmU9XL0KcqU7dwLvlwGsXiW48KN3+OPKO3VZSoVgFimpPp/zzBnTvlhV7NjB/EJTC7fKupL3LPaTuMkktm5lLvnELX6n9C7fnN2+XoAkMU+fDqrcV1/VLfxs+F36UhTi4kBH8Pzz+uedO8dFst3kk1Xa4YVpYeNGmGFOnjTYwRAyG0ImFCMwGvRsxIxSpAjRSy9hC56GSE5G3HTn9sn0Z97vaOKeavTEE+rnOk0mWcKIhNBtt3RpooQEhBX7g4sXYUnq3Zvow+7ZaFmPdVR7ddpu5S0Woq++InrtZQsN/d8w+utAecqZM8BGs2Qh6tyZ6MwZoooVUU+uXz+iuDj/29SLF7dYiNq2JapVi+jNN2HO0ULp0pTwWD568sX6RLVrE02cqN5m06ZE335L9Oqr5LNuXgiZExm9gmQ0THF5+DrRYkFIly/uiXPnENisEwkQiAYuc3a/0jyBb+V4SsVD534f5700IlE8MWIE65sfVBAXh8z9ihU9ahZcu8b85JP+06f6wNGjCJV8rmEqX8n/jLmQQDMv4dIl5vbtEV3z559uIX+m36XnpLTbmd98ExzzVit2cb/+qlk8WwgklsbHM959+fII67lxQ/3kDh3A6RNyat5zeOA1cMMZhUZOzJaN6O23fWvhpUuj+u/MmQZvbgx2O9GPP0LB79dXoiVJLSjfF51UPXTKIsPORwvzrYETEVWpggxFo32aM4eoSROi27eJ1qwh+vxzcu0GChdGauWvvxpr0CCEIBo1CsPc+T2mNU++QUU7NSVq1Cio93GieHEUs16yhGjaNDgT163zr5Cz0rkpFyK+dIlowQJUXi5SBBm0W7eqXp6UhMsef5zw7g8cIHrqKby4xYu97zVpEhygQ4b48+QhZCQyegXJDDCsIRnRUPbtAw2or9pdx47BCeZJaWq2Tw7IiSgNGjhYA4cMAVGVSj80dx3K8mo6iIxEooivPm7dCnNtmzaIetO877lzCNHz4RcwisuXmZs1Qw7O8eMMjbhaNfNl3fzdBkkSsp4KFWLxciuN6skG8eOPiNv2LH+UkICtjErJt8hIbGq8sG4dGBg7d/YOhbx4EbuHQKoBhZDuCAlwDrIAFwK0qUYImzp1Yp40KaA+CcE8cSIyq4cPd8ROHzgA55SKA8unyUhjW+7ZRteu2jlJ584xv/8+kgSXLHFZn3Tv26EDiLYDgJKze9AgB0PumTMQTHpUB3oNBtKfhEQW336Hxal3b4PVjhWYPBlUiBcuqPdl504sFB44dQpyWhUxMWDHLFECK6wSGzZgIgWy4ISQrggJcA5ilICMESOMUcju24eMGg+uZ6P9uXEDlCYVKyrM3MnJ+MGjBqVhW39KiqGFavx47wi02FhEuVWsiALxjpwSY/c+ehSLjp8ZgtHRLs5uZ8KizYbc+J9+8qvNgAW4fPmVK1igcudGlJKR0nKehYjVBtFux4vwSI3ftw8+EF3MnYv2Bwxwn3+//oqL/UhWCiH9ERLgnAYCPDISMeFGNK4334TaaLI/ixcjw7t3bw+luU8f5KArGjGVtW2xGEqB3LYNRRSYISenT4eVok8fPL5f9371VWRomsTq1dA4vTi7hw5lbtzYQCl6DQRLgMvYvRt2rvLlkUGpBb1CxJ6Nnj2L9HjForBhA7jSfeLKFXCNV62KBVRu/5138C5CTs1Mj5AAZ5PfqdFJ3bKlsYyXLVtQ/9Bg1EJcHMwTRYuCb8kNGzY4iaqUbZl6PqvVkIZ49y7S6teuhb25bVtQwihh+t5796L/suruA0lJzD17anB2HzjgJKoKCH4Kcc3LhID2W7Qooko8C2seO+a7ELFn43//7Sbslyxhfu45gx2VJJCL5cgB7VuSMLBVq8L+HkKmRkiAOxBUOzgzyDyefdbYjVu1cvtgtfqyZQtzyZJQkLyU+9hYZOj984+zDb9kj91uoOAj2E0rVMB3/t9/3vfy+/7PPw+N0gf27YMi26aNSkGk5GTmypVhQw4UwRbgMpKSICBz5EDliKgoeF8LFza28CsHODoaZjtH1Z1Zs9xoZozh+HFklzZtin5cuICQ2OXLTTYUQnoiJMAdCLoZJSUFNl0jDqHVq6HGOhYHNRKpAQOgnP79t0YbnToxamgFIDyZfUaiREfD11ipEm43bZr3OQHdf/Nm8IVrLCI2G+RezpyQz6r36dsXWbHBSGdNKwEu49o1VMwJD8eOwSDNgvMm8o02bHDWGx03Dk2ahsXCPHCgi2t87Vr8v8xFHkKmwwMfB55mePRRMDLNnu373OefRzzu2rVeh44eJapbF6G8Bw8iZNoLixYRbdpENHasJhGVYWiQK9lsRFOnolJPairR+vVEffuiSo8SAd+/USOiYsVUx+3cORxetYpo3z6iDz9Uuc/GjYjHnjgxgE4EBlOx34ULE40fT1S0KLI7580jWr7cGMGVMnOzQQOULbp4keLjNYisfCFbNlRL+vdfZGhOnowY9LZtkX4bQuZDRq8gmQVpYgffuRO2TiO8qIsXM7ds6SSTkiR2cnaPGaNzy8hIqObr1wePflZR2FcIhA83aQJ/q7KubkoK7OByVmVAmrcSK1Ywlynj9AvIoZI5cyK8XdMnGRsLG1Mwq8748UCmfQ4vv8z82mt4sH/+QXWd5593ORaN3vTIEeYJE/irLwUPHGi21x6Ij2fu0gU5DY0bo39Bm2AhBAshAe6AaQFu5AIhQD5kJO/cZmNu0IDFxk18+TJMkTVrevu4vNp/+WUWvT4L7reVmspst/PJk7C3168Pmap2j2+/RdGFoAlvZjRUrRrz3Ll84wZcBOXLIxlIF++9Bw9vMGHyoUyNgxDos6MQsRMpKYjGCQ9n/uQT7yQevfamTeNP37zpd+SkF5YuhYKQOzdiREPIVAiZUPyB0f1xWJgxgisiooceIv6kG/01IIJq1iSqVw81bN04uz0xaRLx+QtEw4cH1VoQHZuFBg4Ko3btsDPfsIGoZUv1x65c2ZVWH7Q+hIURDRxIS7/cTVWrMpUuDRNSzZo61yxaRLR9O9FvvwWpEwqYLEZseBwGDgQplaMQsROPPgr2rZMnYbsqV45o5EhXRWm9G7/wAiVciKInH7Ga6rMmXnkFdrwqVcDTMGZMcNoNITjI6BUkM8GU5mTUjHLlCvKafSRGREUxt3vDzmUeuczbJ+mp3Q6cPcsiPKcBtdQ4LBYEQFSuJHjAF3ZDit+pU8Ghl1UiLo75g/clLvJQJK8dvNP3BTduIGNRLW46GDChhRs+9bffvAoRa+LgQZgxSpdGjKCPm7xa9wbP7nvQYEcMQggkHYSFMX/2mf+x9SEEFSEN3B+YUTWLFoUXcuFCzVPWriWqVo0oR86sdOCXTVR/+8+6TbLNTtzpPQrr28eHWmoMzCCZeu45+ELn/c300xA75c3r+7rSpcFEeudOwN0gIqJt2zAWySlZKGL0Znp+RW99DZiZ6OOPid55h6hx4+B0wk8Ydl7+/TfR8OF48YUK+T6/enW8mBEjwATWvDlRRITm6fGP5KXsMZeCW/kpLAy7my++APlVvXrwKoeQscjoFSQzIU3s4MwIyWrUyOtnORGlQAEXh5BITIL9V+kt9OijGDIUGX1B0IKOHUMKeqNGzGvWOB5JCJ+cKEpb788/I4otEFgszF99BVPr3LmOH61WaKleGUsKTJyIYHSzRFVmYPA9Gzpt7Vp4Y/fs8a8vqamI+Q4PZ/7wQ5UgeOZatZg3jj+B9NhgOx6FgDe7YkXEsE+cGHJuZiBCAlwBU/PQjLcqMRGTXZEVqJaI4mzy99+ZP/5YvX8HD+LjDTA29/ZtVJivUgV8Wl5h14pIFLV+KA+tWsU8apT/fZE5u5s3VymrNn48PLpqOHvWf6IqMwiWAJcLEXtUkPcLt26BUSw8HFwvigWsXDnm/XslsDAePRpkDzNjPleujASkp59GFI0a13gIaY6QAFfA9Bw3wxXRpQvz9987E1Fy5UL5QuU9nf8fF4dMGQeboPP7S0mB5jN+vMmOupCaissrV0bOhmYJT0ckiifUZMG1awj+MDt+kgTBHx4Ok7DqcKakYIuy08MW7oja4eHDzd3UHxh4MJ+nnDmDnH8P3puAERGBla9kSSTyCMEFCzrW9wsXkCZvsQRfiJ87h+3S0qXMvXphIV2yJHjth2AIIQGuQJoK8K1b+UyRpvzss4Lr13dwduvd/+efmXv3dv/uPv8c/Bl+xiYvX46QwA4dDJRBtFi8TDRaMkAIbBguXjTeH5lHqXp13wWMeMQIxBIqMWwYc8OG6eNMMyD8dA/fuAEBq1aIOBgQAmQwTz3F3LAhP/E/u0shXrDAZd8KthBftQpC/Nw5mIYKF8ZKHmIyTDeEBLgCpue3wQuEYJ44QXCuLDE87KPzmjLHramoKBZPlwcvBTPzxo3gpjASteCBiAjmN95AMs769Qaf0aO8mq9HHTdOhVBKBUIw//UXvvuBAw3RriCpJFcuF1uWTFSltgqmFXQeXnds4uJgH/rii7TplxIWC0sjRzERc1LHrkjyio3FAhgd7d7hYGH4cOwWExJwj/bt1bnGQ0gThAS4B4ItwN04uz+eoJtoIjflbPa77yDl7t4FUdX8+SY6B9t6377w8U2daoyG2gm73ckTbWSd2rIFWZJ6iI4GTXqpUqCjNYXvv4dwSE52Ge7TEz4EuCpSU2G/79gx3ahZ4+KYs2QRLLp1h99lyBB4p+fNcz8xWNq4ENAO2rVztffXX1hwv/zS4Aodgr8ICXAPBNOMsmQJzJ6ffeYI6rhwAdVZdMqouX1X16/D09muHeweBpGcjPT7SpWQKWm2EIyzMykphr/zmBh0UWuRkHfYXbr4ucOOjoZA+uADeH7TO/LBrAC32yHY5ELE6YSrV+FTYGbYplq0AJ3De+95V2gKlhBPSICG8vPPrt+uXAFBm5JrPISgIyTAPRAMAR4XBzlTtKhKFn2TJqplsDSaAqtejhyGpLBsCq1bF+SEKhXVTEEkJbOQjA9Inz7e9uykJPi48uULgo+rfXvm//0vYyIedCJyVH/89FNUVZCJYtIJx49js+bWlxUrYNYoWdLbGRwsIX72LOxia9a4fpMkeKdz5IC3OlQgIugICXAPmJ7LHh/A1q0wEbz1lrvZ0Ylp0+C982hCdW7fuIGPolgxnwL80CFwQDdvzrxpk8lnUIEQzCIl1dRHN326IoabETVXvjxz69aq4crmEBuLmPBHH3X5BdITZgT4kCGI5QtSkWYz2L0byrAXrFbw/2bPDpPO1avux4MhxFeuhJ/Gs4jGsWPwA8hc4yEEDSEB7gF/BXhqKkx+efLocHYzwyH35JPOiexlNlG226oV1NcePTQjGCIjYaKpVo15xozgBGU4+6MSiaKHAwcwBkrO7kmTgmTt6NwZ/7p3x3ikN4wKcLkQ8aVLad8nFaxdq1NH5NYt5sGDQZCVIwf8CsrqR8F4UUOHwkfhaSa0WDA5cuVinjMnlPwTJIQEuAf8mVdHIySuXl0jEUUNnToxDxmiHgMuY9IkJEkkJSHmr3Jlt+14UhJ2pxUr4pv0sxawF9wWE4Pl1WQkJ2PNqVsXQuTs2eD0iRctwrYmNhaC8ckng6DS+wGPl+T1zpYudS9EnAFYuBBmb02sWgU728mT8K4XKQKBKu+0AjWpCAHq2fbt1dvZtg3mnHbtNLaoIZhBSICrwOj8lU18OXMKHj3auLVBrN/A4qmybjdyu+e5c1Bf9+1z/dalC/Mff7AkQZ7VqQM7e6AlH9365fntGiyvJl87aRIsHJ98EsTwbJmoSmkXeu89lChKb+gJ8G3b4D3csiV9++SB6dPhO9VEcjKI5q9dw9+rV6M2Xp06Lvt4oEI8Ph5t/vKL+nHZSVSoELYMIfiNkABXgZG5e/kynOw1ajAfO2p8wgvBLOwS7Lk7dnjf025Hts3gwe4XHjzI+8u9w21a2blFi+CH2ap+sz7Kq8m4eRN27vLlkdUdjFKUzk61bo0EJiVOnTLs2A0qPBZc559Hj8JXEcxCEn5izBjIRl3s3++eBmyzMf/xB+x/b7+NyR2oED9zBrsRPQG9ZAkyOHv2NFzIOgR3hNgITYKZaO5ckADWrUu0axdRxYpkiDNaZqsLy5qFqGNHopkzvU8aMYLIbgdXtAPXrxP1nFadPro9hNoV2kErVhA1bBjcZyJSYdLLksXncy1bRlS1KlHJkkT794M+WuYHDxhTphBdvgweaiXKlSNq0YJo3Lgg3cg/hIUR0ZUrRC++iFJkbdtmaH+IUPnMZzm1GjWIhHAxGj70EFG3bkRnzxIVLAiS9+++I0pKMs2F7sRTT4EH/513iC5eVD/n1VfBNX7xIj6oAwf8u9eDjIxeQTIjtBQPOdGsdGmVRBQd+4mqMnPmDLbcycmuY4cOuRFVJSZiF1qxIgIb4tbtgYE5iHHFPhWtlBTVZ4uPBxle4cLukWN2O4IcAg7AOHcOsYcHD6ofP3gQWm96hul5mryiouCn8NwtZSD69zdYF/nyZYT2qe2wTp9GrH3BgvCM2+3+a+M//ohYcD0NW7a/hYfj/BDXuGGENHCDWLcOmuYTT6CISoMGKiepaCua2u1TT0F1X7YMf6emQisfMoREmbK0cCFR06ZEZ86gxu2gQUTZm9ciyp+faMmSoDyToQLEKlr4jh3g7E5IgLbdooXrWNaseKyAtHC7neiDD4h69wYXthqqVyeqUwfFi9MZzERhyUlEL79M1KQJ0TffpHsftBAfT5Q9u4ETixUjKlECBOyeKFsW83L2bKJff8U4b9/unzY+cCC2Zx9+qH19WBjRRx+hUvWKFahcHeIaN4aMXkEyI5TKhszZnT8/ggx0L/IVpeCJSZOYX3wR533xBfMLL/Ce3YJffhkJfJ45F8wMMpPGjY0VSjbXXXUoIlEsFmT2586tHwm2YgVI8PzG8OHGiKp27ICWmJZc4J4QgoXFytyyJaItAnwPwUaHDqiqZAhxceBJ0dsu2e3g/M6XD95Rf7zm8fFwkPz6q+9z5RjU8PAgxqDevwgJcA0IgSCQChVMJKI4TA2GhePdu8xPPMHin3/4Ss4q3K1TAtesiThyTbkgBPMLL7gqQPgBU/4pRyTKsWNgDmzWzHcuxtWrcKT59e0dPAhhYTQGsXFj8F6nFySJxXvv4b7puXAYROvW7slUPrFtG1ZjX7h7F/aZ7NkRzx0fb65jp07BqalXnEOJffuQDNWqVcaEjN4jCAlwFSg5uydPNiGIJMm08z7hlQ48/NHvuGKRu/zTTwZNuv/+CyHuh4Q02z/JJvFvI6wcHm48G1oI5o8+8iOXJSUF9tKJE41fs3Yt4orTiW9EyFUwghV4H2Q0bsz8338mLrDZmMeOhYA1gnPnsPPIlw+RLGZ2IP/+i6gTo7zD8vY3KDwM9ydCAtwDZ88y16uHf2YTUYRkXDra7dC0az55mj95eDJfvmRCqtrt+FKNajNy/0wKb3B2C65WRTLNR/T77yYFCTPMSK1bm+ukEMzPPKPJLxNU/PYbixIl/KL0TS/UqOFHKPrp0xDiZpyHmzdjsa1a1Rx3w+DBSBs2Eza4Zg1ixj/4wLzmf58jJMAdkB3huXIhG9iMQucUjAYl5M6dsHG3rHGDd+drxaJAQea9e811eP58EF2ZiD83A5mz+6uvmFPvapdX08LmzRhHUxcUKuQfUdWSJbCxpiVZ0ty5LPLlY3HSoKaaQShTxs8Kc3/9ZZ7j126HFp4/P4h4jPCzSxIiXDp0MDenoqNRi7NkST+4iO9fhAQ4uxJRKlRAjgOz8bnlJbN1hMjFizAt1KrFvGByDEt587NYsxZZhZ9+aq7TVitCClU9nd59NIroaORylCypSBbSKK/mq50OHQwqdXfvIjZz4UJT93BCkhBruWiRf9f7gqMQsdizN9M71fLn97POxZ07cGj6w/UbF4eVPnt25n79fJuX4uJg3/7tN3P3EQL2+hDXuBMPvABfuhQlF3v1Ms/ro3qORsz00KGQMb/8wpyY4Mgw7NkTbRw/DnXXUUDBMGbMgLQ120cNrF0Lagwvzm6r1a/Y3M8+w6P5xAcfID0+EMyZA/tBsAXsvn3OQsRmdlkZhcceQ8Fqv7B2bWDZpBcugOMkXz6Ewugt+idPYlw3bjR/n8uXwWxYrZqBenz3Nx5YAR4fD0FVpIh2tq/Wd6r7DSsO2myQK9WrQ8GW6Sd48mQnUZWzndq1zWugKSloXCPZxaicSU6GsM2XT+P7tdn80namTfPBzMiMG5YsCaKqQGCzgfBq1arA2lHizBkMypw57mOZSQW4zcZMZF4PcCI1FZ7qQChfhcDW7ZlnQMCm56dZtgxOTX+YG+WK2Dly6FTEvv/xQArwbduwY2/fXp8QTe079amAOU7YuhWscG3auHNSOYmqHDZvZ1vjx0MrN4s//sBKZKDvajhwAKajVq10zM+S5JdU2LcPceOakImq/NHC1DBpEuLHgwG5ELEjdvleEOAxMcwPPxxgI4cOIQooEIEoBLTvmTPxftu00a4u8t132DklJ/t3r6NH4Uht1swgFej9hQdKgFssMNXlyYNYWV/foedxI9/t+fPMH7wvuE4dKJdu34HdztygAXiYPduMjmZ+/HHzMa8JCdB0FGXmjfTTZoNZJ2dOfK8+FyU/PrDkZFh4VAMOhMCH3bev6XY1kZqK3P5Amb7u3oVQ6NfP+dO9IMAvXYIlLiAIAcek7AwKpB0hMD+/+Qb28T59vAnIJAnaQ8eO/o+rTMafKxecsQ8QHhgBfuwYFnozC7U8n4yYPe/eRYRUxYrMv42S1IXW8OEwlThCXLzafeMNY9lqnhg50lnkwMg3cO4cCA/r1jURKpmc7NcHNmiQRoDN5MmIp/ZX89LCb78hRt5fpKSg7F2nTm6JWW7IpAL8yBGExAeMa9cwp4LxbuSxunyZ+Z13oD2NH+/uU7l7l7lsWVApBoKtWzEAmuWw7j/c9wLcxdlt3lQmC1i979Vmgy+xWjXYkSMjWf0imahKkTDh1e5//0HzM4uYGOYKFVicv6B7mhCQmzlzMv/wg0m/ZKq58moy5s2DQueG8+dhWz5wwHR7PpGYCCHhjwYpFyJ+6SW3ONJ7RYDv2IE1MShYtix4/gTleO3cCe7xChXARS7jxAlMTDMx5WqIi2N+/33sxB4ArvH7WoAjEQV+Pn8KY/uSV5s3o/1XX/WIvRXC/eKUFJg5xo51u95LDlitiAPzI5BX/PCj25bfEzdvwmLx9NPmQ86Z2XR5NRknTmBhc0JOQjIVJG4SQ4YgW9AMhHAVIlaUA1NdwDNpJMqqVbDQBQUJCQiZunUrOO0px0ySYOooUgScMrL5b8kSLOzBqJu5eDEcpL16BX+Xl4lwXwpwIWDjzpPHkYhi0v+m1LzVvtMzZ7DDrlsXiorPcMJ+/eDR9FgRVK/7/HPm3r1N95dv3kQyi0qW4LJlWBcC4s232fxKV7fZEA8eFeX44eefIWXSkjI0Nha7HUMxjA78+KNqIWLdaKNMhn/+weYhaNi1K7gZrp4fVFIS7I45cmByRkXBXl6zZnCE7o0bKBv39NOB2/QzKe47AR4dDRNYqVL++bI855jy/2NimL/9lrlSJaSK684xScLFmzdjJXHGEKq37UREBDQHE6XMnBg4EF59B5Sc3crdql+w2/2OTxs2zLEzPnQIGpZWREIw8dVXcIwZwaRJmoWI7yUBPmUKIquCBrsd9mozC6EReI7dtWvQiHLnhp3zpZeQFxCMMRYCMenh4diZ3Wdc4/eVAF+3TiMRxSC0wgatVuapU2Ge7tvXYKCIEHDOlCihSQ+nOT+rV/fBXatx/ZUr0MKjonj7doRKtmun0H4DgRB+s+8tX848bqSDqCq9mANv30bkgy/606VLITiOHPE65DMyJ5Nh1Chk+gYV587BuRhssjC18du7FyREZcpgQf399+Dd78wZ2N6ffdbPVNXMiftCgCcnw9SVP79/pGVaphIhsCg0aQLfluli450762ZKasqA0aN92nC1rrX0/JwHNdvhk7PbL/gZiXL5MvOqyv1YvPxy+gq+zz5DhWUtbN2qW4j4XhPggwcHNyrTiXnzsJMMNtQ+PCFwv4IFmR96CBECwYLNBu/9fcQ1fs8L8P37DSSi6EBLeJ86xfzuu1AIli/3410vWYLtgEY4k257t28jJlyDaF/r2uPHmWtUTOFmj+/iy8fSgLXNz0gUsXkLx/yvEF/dGxn8Punh6lXmJ59UZw+UCxHrrPj3mgD//HO3FIPgIToaPCmBZsuqQesDTE5G2GFYWJBq9Cmwdy/8HYaJ/jMv7tmSanY70bBhKOfVuzfRv/8SFShgrg1nkWFFSbGYGJQve/NNonr1iDZsQOUs3bJjnrh1i6hrVxTlzZnTXKeIiPLmJXruOaK//9bssxJCEI0ZQ1S/PlGHDx6lde/MoGIbZ5i/ry+EheFmZhAXR2FdPqBd7cdQxO2Cwe+THooUIWrfHmXBlLh8GYWIhw1DYV0VqI1zZkd8vIGCxv4gVy4UHV63Lvhty4PsWW7tsceI/vqLqFcvolWrUIJw1CgiqzXwe9aqRXTwIFHx4kRVqkB43KvI6BXEH8iJKP5wdjOrL/oWCzISq1RB4RGZEMi0oiVnGPbooRtu5rPdxYvBJ+HjmqtXmZ9/HnHozlDJI0fMcy4bgaK8mmF06cLcqRNv2gRnZrrj7FnYwmVHwJ070L58FCI29N4zmRb+1luI808TWCww7flTUs0o1MbTbodTs00b0CSUKQO/RbDGfvVq2Nu7dLknucbvKQEuJ6LkyuV/8Wq1KJM1a5gbNYLDT43czNRcmTIFAkIWnhomB59tWiyIXnFIZbXz//4bpwwYoBIg0rFj8L9mR3k1w1i6FHwiMTEcFQWTVIaUkHz7bYSnJSbCkdWtm88XcC8K8JYtQROfZjh6FE7otCSOUlN6YmLgkR83DoRvJUsipdq0U0oDUVHgGi9Vinn79uC0mU64ZwS4zNldvryfiSjsPS9OnIDW0rAhFmKt79Hwd3r+PLLJ9uxx/eavAGeGZ7ZfP9X5/M47CHDRrL6yZw+Ix4PJmSxJxiNRbt5E/OKGDc6fevVyo2xJPxw9CsdVixbMr7/ucxUx/L4zmQBv2JB55co0vsn06e7zOy2gJsSPHsW3tXUr5uDPP+OdfvxxcJKNhGCePRv3GDjwnuEavyds4P/+S1StGlGJEkT798OEZQYg2XSZ26KiiL78kuitt4iaNiVav57ohRcCtHlKElHnzrDZ1a7t+j0szNu+ZxSdOhHPnkNhkt350/r1MNs98ghRRARRo0Ya19auDRvfwoX+3VsNWbIYexZm+ADefJOoWTPnz1WqoM/pjooVYRw+e5ZozhyirFkzoBNpj/h4ouzZ0/gmL75ItHUrUVJS2t1DzS5eqRLRpEmYU1FRRP37E506hWPlyhGNGEFksQR2z3ffJTp8mGjnTqK6dYlOnPC/vfRCRq8gepATUYoUgZnDHygX89RUsK9Wrow8D6Px0YYUrZ9+gsbraSNW0SaMKm5CEsgaWrGCk5ORoJkvn4nCM5s2BT/rMSXF9xZ6yhQMsocNfu9ekFulOwYMYH7qKdibfGT4mcqSz2QaeMmSquHswceKFQjNSg94jvFXX4HuQGkzPHwYBR5KlcLHEeh7kSSQyuXIAbt/JuYaz7QCPBiJKPJ7FAJzrkEDmB7MbuN9zofDh7Gd02rYSAq91j1/+YUPPD+AK1RAVrCpUEkhcFEgVVY8YbHomyBkoiqV1OWkJJij05WaYtQo2JoiI5mfe85ncoipbz+TCfA8eYwXfA8ISUlgK4xMp7BQ5Tjb7WCb7NLF25m1dCmcnI0baxY5MYUjRxDV0Lw5ogUyITKdALdYYILKkwd8N/58I0ot6sgR+CeaNEFSjr/taSI1FS9ZTzCYFODycbudeeiXcZyTonnCqET/5MWqVZiAwdIi9CJR7HYM9JAhmpcPHOhR4CIt8ddfWExOn8bfmzYxFy2qa9/0K+ookyBbtnRkUd27F/bw9Hp+5UcdHQ1tWy2r12KB9pwzJ0r1BbrIpKYiLC1XLs2M6oxEphLgSs5ufwnJ5Pd86xbzF19Atk6ZEngmsOY87d8fcXx6AtJjX6435+Vj58+7OLvPNPnI/xR0ScKABkyG4oBeebURI9BpHZPN33+j1FqaY80at8pHzIzBffZZ8CKowC9ZlEkEeGoqPD3BznjXhCSBYyRdbDYOeGpm4eHaUSO3byPaKEcOxK/6SQPhxJYtzMWLI+rBsyhFBiJTCHBJgqkpZ07seP1VFmW6jrFjYTr+5pvgaSSq3+mWLcjm87W9EsLtofSiXYTAguPG2T1/PgSPv1i0CKaUYAgbrfJqhw8bIqo6ftw02aJ57N2LAVRznCxfDnu4ihnoXhbgd+4wP/poOt/0wgWQT6VnxIZSiM+fj4rkKkRxThw9CgWreHGcH8j7iosDPUbhwtjOZwJkuAC/ehWmSX85u5ld8vHffyHn3n3XtWsOFrzee1wcvEZGSzj5EODyruGVVxBG7hYqmZICgaQoBmEKNhuynjRjDk1ACG8jtlxc2cAuwWoFvWyaKTGKQsSqEAKkWvPmqR4yjUwiwGXXQ7pjwQL9wsVpBXncBwzANlWPKVMILNxly2KHGKgNb9EiMIZ+9lmGc41nqACXE1G+/NL/StpCgKX0tddgKdi4MW2+Ka82u3QBd6fRmznoZbX4e/79F8pEjx4aCZTduvmoEOwDs2fDGRAMpKS4P8SAAcgiMTgWQ4akDTcSR0ZiUR01Sv+8+fNhWzNo1tJFJhHghw/D6Z/uiI2F6SwjSpgJAeWkRQtjNIxWK7b6uXKBvlZPc/eFGzcw58uXT5vKUgaRIQI8JgbRCP5ydsu4fh11UqtVgz8lLal+3b7TpUuxjTIzaR2S2/N7j49HLkKhQj4qWO3aBQecv6mMqalIzfc3C8qzLbkfW7aAOU6NMEoD//0XXKZQZnYVIu7f3/e5dju0sf/+c/50rwvwrVuxCcoQbNkCbSwjIATC1EqWBBeGEURFoYBEjhywU/pLOSGEi2t86NAMSTNOMwEuSRLPnj2bGzRowEWKFOEGDRrw7Nmzee1aiYsWRdk6X5zdWm0kJEg8ahTs3IMH65OkabUhGTS0y9fXr4/rW9Wuzck5crBkIuVNbqNh/fpcuLCrD1u3Sly6NBRjX6GSkt3OdwsW5N4VK/r1HMzM0oQJfK5Bg4DHonG9ely8cGFuUbcux+XPz5KKOUKvjd9+W8z58y9zGwtTz+HxTpvVq8c3ypdnYaKyuTRlCt8uU4YbON5J/fp+9mPWLG5Qv35A4+nv+1C2UaFCP86WbWdQxtN0G1YrS2PG8JKRIwOeW35dLwTz4cMswsN51TffGG/jxAlo0UWKOEPe/OrH6dOITa9Xj/n8+aC8V6NIEwEuSRK3a9eOiYizZMnCRMRhYf9jot/40UdjeeFC3w+i3kZWJnqFc+U6zZ07C5+87GptyP9t166dzwFVXh8WhuuWEvFYg9d7tpE1LMzR1iNM9ANnyxbPM2ZIPmWO3MaXRDybyPRzyG10fO01PkTElR398HcsHg4L44eJeDIRz/RzLIimMFFhv55D+U6zEPECIl5BxG+/8YbhNt5+4w2+RMTN/RgLr34EOJ7+zE3PNsLC3maifwMeT3/70efFF7kbET+UgWMxuk4dvk7Ehc32YdUq5vLlWdSty4OaN/evHzYb8+DBLMLD+c9nngnoWcwgTQT47NmzHR+p/K86Ex1lov+YKD/P0XIw+WxjCROtYaIGfrbh/s9XG57Xv0/Ep4j4fwavV+/D00y0j4k2MlExU20UJuJ4In7S5HMo2+hJxH8EOBZhRPwaEV8g4nC/x6IXE73k93PI/8YR8S4/30l3Il7nx1io9SPQuRV4Hz5iojnp/hzKNjoQcd0MHoufiXgHET9stg2bjfd06sS3iXgOERfxsx8rBw/mUwRFL6+fbZhBmgjwBg0aOFed4jSas1IKZ6VeztWoYcOGptog+pOJTjLRu0yU1c823P8ZaUN5fRGqwtEUzrXpfwE8x3QmsjPRj0wU5lcbq6kGf0BvmnoOZRvZifgOEbcIYCzyUXa+Sdn5eXrY77F4gppyPurv93MQEfem9/gkFeHcfrbxKBFbiXiIybHw7AdR1oDmFlFxJvoioD5Up7FclZYG+BzmvxFlG3mJ+HMifjygsXAtxv70ISsRXybiSD/byBUWxrOJ2E7E//nZxuNhYTyWCvFNysNP0bOm2zCDNBHgRYoUUbyMClyFFnIeusR5qDUTERctWtRUG0R1magdE7VnolJ+tuH9z1cbyuuzEHF9+peJ9hq+3rsPFZjoAhNZnR+suTZycgU6xAXoNVPPoWyjIRFvIOInAhgLIuJ3qBtXovf9HosK9AQXd7xLf9soSnW4GJ1nohl+tfEOEUtEXMrkWHiPx0MBzS2i9xkatP99aENd+U9qGeBzmP9GPNtQ01zNjMXDHguAv+/0Oz/aqFagAG9wXH+CiJ/1o43ChUsw0VQmsnN9GsVZKJvpNswgTdgIS5QoQVmyoOlkOkFH6Q2qRl3pYRpNBekvKlSouqk2wmg3ES0gogNEVIOIWlOhQtVMteGJLFmyUIkSJQxfL4hoB/1MRNWI6GtD13v34QQRlSKi34hoGBEdoAIFfFMrutroRyeoPN2kFaaeQ27jkbAw6khEs4koUXHM7FgQEf1Nq+lhakslqIDpschCREUokW7TBb+eQ+7HVdpDV+gHInqXiEZTWJi5sRhNRHuIFL3wrx/4Nl1UlubGMwsRNSWiDQH14So9Ti1oZ4DP4Q5/2rjmRxvK6x8mIpuffahDRNOJaBERDTbTRmIi0Sef0P6bN6kKEb1CRBWIaJfJfuzZQ3T79n4iepfC6EPaQV+QIFcFIaPPYgpBXQ4c0LJpVaInuA2N4dyPxPKsaTZd552nzdXVzmNMVI27d9/GmzcjesxsP+R//tnm5jBREhM1C9DGWJuJbvPDD9t4zBj97FO08QQTRTPRVu/nmD3bUD9eJOJpRFwwSGORjQZyXRrIeQxcr2yjEPlnK9XqB9EIJkplop949mxjbXxBxAlE/FJQ+pHF8c+f8XyGiX4PuA//o/FsozB+NCjjmb5tyNeHEXaGWf3ow7IRIzieYD55xGgfLBbwij/2GPPDD3NEmzacxY/nSE5m7t4dNZjz5YvjMCqsmBfmn8UM0i0KRf7v+23b8ra2I7lC9ivcsmkyX7rkuw1Pz/Ybb3Tg6GiJN29m/ucfEI+phXLq9aO9n97xsLB8TBTN2bLF8fnz/nv5w4j4tbbv8QsvCH7sMRSK0cpClySJq1adwUQXOCzsC/fnaN+eJbvdZ/icdPs2L3/qKe5J3lET7du3928s6AnOTru5Z433WTJQjkpuozYRF/OjD5r9CMvKRCv5oYeSuX9/71h7rzauXeOkhx7i24SImkD7gftn9XM8+3NY2GsB94HoH75Ij3N1x/MENp7BeCcmxsJu53bt2vFDDgGexexYXL/OolAhTs2alauqfeuebUgSwgbz5oXUffFF5lu39OWFRj+2bEEUYrZszJ9+ypyaYud2b77pGIOH/HqvZpCmceBz5szhhg0bctGiRblhw4Y8Z84cPIAkccrEmfx1sRmcJ4eFx49X10DlNho3aODWht0uOXNJrl8HVey//yIc0zOjU7MfBoSe1vWdOu3l4sUF16xpLAdAsw827ELGj2d+4gmUbhwxwjshKSWFuWhRwTlzJnL16l28x1OGHpn19OksDR7Mq777jht6jKeZWN05s2fjOYoU4YYNGnCPHlu5zTPX2LZjj6FMKikxkTf0789N/OwDMz54z/GcPHkelykjOG9e5n79fLzaTp1YVK7Mx1u2dGtj9mzMLcP9cLzXBg0acpEiJU0/y927EteqdZnr1n3J/7Fw9CFnzt287uGi/H25cn634TkWgbTRoIHBZ3G8KEmSeO60ady8Xj3MLaNjERsL7vmCBVkaMkRb5shYt4756aehdRcv7kUvoSu3FIiLY/7kE+b//Q/5QCtXOvj7JUkxLxr7/V6NImO5UA4c4MPPfsLPFL7OjRpK2lQfGsRDshC3WkHF/e+/oGW4fNkgK5sp9n4XrFbMmVq1UHoyoCw+x0s9eBDJZPnzo93Dh12nTZyIHIGCBQ0ke6k908mTzN9/Dw7nu3f977DndZLEkoRM5vk/nDLGTHf2LLgPAoFG/0+dQlJc0aLMfftqnLZzJ1Kpc+VS7a+/dMP+8DmtWOGztrJh1KvHfPG1PszffhuU9gJNMDV0vSfPd0qKOW6RlBQUs61WDQOgp0Ds3w+q4yeegNT95Re/qRtXrEDmdN68oGG5etXxKJLkfCYh0icxM2NLqtWoQVVXDKNdrYdTq/i/qf6zEv30E5HN5vvSsDCibNmI7HZU+nr6aaImTVA56/hxlF6LjESlM91G/MDDDxP99hvRjRtEBw8SjRnjVzNupaOqVyc6dAgl3iIjiZo3J/ruO6KEBKKRI1EhrWlTA9XAwsJcZdyYMQD//YeSVMWKYYACqh3njixZiH76iWjQjKco9raN6NIl/QuuXSMqUsT/Gypr43mgXDmi2bOJkpPxyH36kHsFOCGIevYkeuMN1OerXNmrDX8q4KlVADOCjRvdKs4FhPh4IlG2PNHJk8FpkMw/jxI+x9HzPUoSJpOGQ9ULkkTUoQP+e+kS0cyZRA895H3euXNE7dtDOBw4gJJwZ84QffEFPmQTuHMHVdfeew9z7MMPUV2ucGGiMGLXt+dAED8zTWR8TcycOemh8WOoXy8L7SrTkdbMi6G6dSEYfUEpxO12yKZatYiqViWyWolOnyY6coTo9m18u5qN+DFTmzcnevZZogYNIMA2bTLdBKCoM5kjB9HcuUSDBqFb//5LVKEC0WOPQaib+tjl2bNtGwbGakVtSH+hIzirVydq2SoLDVtWEataVJR6G7Gx+OBy5/a/Hz7QqhXKkmbLRrR2LdFnnyle7/TpmCg3b6J+qQ78EeJmrrl2jej6dffyqYEgPp4orELwBHiaCh/PuSQrGh4CUPf6Tz/FIN65Q/Tzz0SlS7ufc/MmzqlWjWj3bqKCBYkWLyZasAAS12R3582DDnTyJLo4dy7RsGFYM8KIdb+PNEXaK/kmcOAAS8+14IltV3LevIK//NKxozJQRTw11X0HZbFgS71pE3igjh0D95Tm1s6PPeOlS6ADnzQJWyoth6xPePCFM2PH99RTzI8/DrPAY4/5wZ0fF4ct9cmTzGPGYMvorx1OiwPX8fudOyAnO7r9Lkj21ZwDR474T4mr1QcVSBJoeV97Daau7t2ZRUws9rzLlmELfedOMG7lhM1mbss8YwbqswYLOXMyXzt8B960ILG6+WlhdLve0I9ykRCr1Vjfv/8eduyPPwbPvcJ0wXFxzF9/DYdSlSr479ChftOdXr3K3Lo1zJtVq6Is45UrHo+i8k2pfNJpgozXwJWoUYOyzP+bPi7wHx14tiedOJBC1asxbd2qf5msiUsSFCwi/F2uHLTDbNmI4uKw0zp1Cv+v2ohJtat4cWh7K1YQdeuGnXlysqkmXPf2uH/NmkTffIO+h4dDUW/blmjNGhPtrloFDSQmhqhsWdhf/NESDGgXefIQ9etH1H9oDuLiJYiOHXO9DCK8nMjIwMwnBpElC9GsWTClvfkm0fbtRBsbDyZu1pzo4kWiFi3QYR2YnQ5mzhciuOYTZmjgT5TIg7L0Fy8Gpd1AFUqvMdGaR3Y75qYQvm86cSLR5Mn4OJYsIZoyBddYrUSjRxOVKkW0bh3R448TlSxJFBFBNHAg0SOPmOq7ELhVtWrYAScnw/qycSNR0aKK58oozVtG2q8RfkCSmCdPZtGoMc/9MoILFZC4Wzf9mG9mdU1c/v3qVfivDh6EInj6NHNiokYjJpCUhNV5+XJofJ06BaC1KJZsIRBa+Pff0CYfewyVbIoXR1EQn4WeL19m/u47POSkSRgARwSQafgqIeSA1QqnzoIFDK1fWaHj+nXmHTvM39tXH3Rw8iR8levGHOf4LDm4/9tXWFSvDjrgIN9Wkoz7xA4eRARDsJhok5Lg8LDbmblhQ+wygoSgaeFajUiSq9xZSor+/Fy0CFveHTsQu7doET72mTPxYdSujQkof5B+4swZ+DurVkVZzXz53JtzjomOmv1gauAysmQh+vBDChv1K729ry8d7vI7JcZLVLUqtF0tqGni8u9FikCrfewxoqQknHPhAv6lpno0YkL1+t//iH75BdrnxInwk4wda/6Rnfd2GOvXroVW9cYbRCkpcGiuWkXUsCHsbtWqwZyn2lVmomXLiF54AXZnIgyAp4PTCPQ0DI+xevhhouHD0dekwmWhFclOzUCdl37g6aeJpk9jeviLzyixWz+6dCiWEk9eJfHCS6baMTJUZqbNhg3woQRLcUtIgMKZNSsRlQ+uIzMYfWShM4ckyeWZZ9Z2Ym7ZQtSlC9HSpUR//AGP/qOPEtWogQ+wfn04vVq0wNbr5ZdN99NuR1N16uBfzpxoct8+V3PyOw4L89HfdELmFOAyatYkmj+f8kadolmiI40fHEWffkrUsSN8F2rQEuJE+P3pp/EvKcnl2DxzhujKFcgbJ0wI8ddeg19k5kyiRYuIhg4l2rzZ1JO6Oh8WRiyYfvoJi4LVihTdDz+EL8ZqRYTNkCFE334LE0FkpEc7Bw7g4evUgSlDdl7KwtjfsAkDaNIEr23U6Cy4b2QkhHdMDBxJ/iCAbWobXkZVHj9Pbbd/TlMbzaTl2TtQl27Z9KOTFDB6W6NDmpSE99mkibF2jSA+HpYTIgq6AJfh71RxRmdoQZKgkeiZT44cwUc2Ywac5OvXE50/Dyfl88/DvhEdDUk7eDC0NJOIiEBQwrJlEOIzZ8LBvGkTgreIPIS3D3NPGnxaWjfK5JDLJk2axNy4Md9duom7d0dMtIODXfMyNXOKDEmCM2LnTmyZLl1C7PW1a46tqMm949Gj8JFFRqLQS+HCsGL4g21bJC5VSrDFwrx2LXaFyucaOxbx4lOnoppZgQIohCxJjG3o4MEokmi1wnkp257U9nR6z2nk+VXavHSJuUQJ1Lzl2FiUMEtn8wkzwwNeogRLi5fyKy/bOPbR/By3+SDXro34fTNORyNdsFp9n7dmDfM33xi/rxEcOIACQ8zMvHo1bG9BRiD1QjWvtdtdzkW7XT2Y/uJFRAhMnoykm2zZ4NX/7jvmVq1gSlm40O85kpLCPGgQTG1jxsD/mTevW7Emz8cxZB9R+lXTEplbA5eRJQvRRx8RjRxJOcYNpfHFR9C82Tb64QeiV14hunrV+xI9TVxusmhRODltNqJbt+DXstmwA7t1OwwausGltFIlorffRghgq1ZEXbtCO05JMf+4P40Ioz69mbJl83Z2hYUR9eiBOOeff4Zi+88/2FW++CLRjdnrEVJVqhTR2bNE+fMjPlELgWrjKraD4sXxur7+muCBzZoVhEFqL8IXAlFlfv2V6KmnKMurbeivTmvolshH0w9Vo7VrMTTvvWeuS766YsSMIptPgglVDTzdVEANKHZNmuOiNJ+oabR37sAM2KEDtp/NmyNGuFcvOCzlZ339db92aDt2wAKzfz/Mk0uX4v3s24dvWONxMoXpxIm0XyMChKfjLSqKuWtX5g4dOPnsNf7qK6yYEyZoK5h6mriM6GiUizx6FP9/7hz+P+qOQIqsAURHY2ewaxf68uqrKB1nZiXetw/ae1IiNOPatbWLfsfEoBxb9erMERHMv311i0f+7xsePzQWzzt/vsuRaGRHoTxutNMa7SYloeTdxqV3kb584oS7U9Mo/FVjrlxBCNmJE/j7jTf4Zv9fOWdOhJbGxSF57623jEfd+eqK3a6v1UdGog62vwW8tbBsGQp6MzM6+fjjpmqUGoXhV6FyotdPQmCHJB+wWNwHLyGBuUYN/MuenblxY2jbZcvCw3jsmD+PwMyoQ9uzJ+TGrFmYngULMn/xhfomwK3vBlXr9NLA7w0BrpLCzRMn4qVu2MAHDuA9N2miTghlVIhLErb/O3bgv3FxCFs+fkzo1t1UYuJE7GAlCZaLChVg8jCKdu2Yf/oJ/3/nlsQ5cgjd7GIhUCA4fz7Buz+czJemrueGDZmfqx3H1/uPds1IoyYh+bwABTgz8+LFzO0rHWPL4RMYkP37zQXLBxIC0b49Kl4zY2X93/+Yb97kJUsQVXD5Mj7kBg0w5kYjSPS6I0n6c2zOnDQo5uxo95VXFD/UrKm96gcA0+nxej/Lsd8ylBEocXEQ1Nmy4T3+/Tfzww8z58njspv6OS9Wr4Z5r107rHHffQdB/u+/Bh7HxH1DAlyG3kjs2cPcvDnziBFsTbLy8OGIMlIjhDIqxJmhGBw9Co08Ohpm3OPHBJ8+DcVAD3Y7vp9p0/D3yZMQGB6cOao4fhz2bNlk/c8/zC+0MDYLjvx9jH/JPZw/+dDG8fHM//Tdxe+Er+DBgx0an1mhbCYGSiuUyi7xN3XW8IRfHEyFKSlYHX3GQCr64Q82b8agywM5fjwSPhz45hu8o+RkvM+GDZnfeMOYEPflMtBqQwjsxo4fN/ksBvDHH7DpO9GhgzmtwQR0X4mP9+V2WCYykpGcjMGbPBmLbc6czNu24WPOmpX52Wdd79OPeREVxfzee9jdLlnCfOMGdi1168LM7rO/Jr+JkA3cCGrXJpo/n+jcOXr44/fpy06RtGMH7MP16sGzLMOXTVyJxx6DTbtkSVApREYSlSodRrlyMl26BAe4lm07a1aY5775hujuXUS8TJ5M9M47CMbQwy+/wHYum6yd9m9NHgAH7HaqfOk/+ujf1nQn9iFq0oSoYa7j9NPySrR7N4JR9uw2Gckhp/gHYEsNu3ObOnf/H/38x5N0+zYh7KtCBWRT+cp48ve+djtspMOHuwZy5ky31Pnvv0dAzCefIPxu5UqYW996yyMSSe2ZdIZQzwZ+9CiCLcqXN/U0hhAfD7YEJ9IoEkUXZiKFhMD5sv1b5uupWhWOk4IFkavevTticitWBOmIni9Hp1sLF4L25uGH8R6yZ4ftu1o1RCeq1VjwehyTkVChKBQZRpYySYIRvHFj5o0bWZKgdOXJAw+znCfA7NLEjW6Z7XZEU+zcCbOq3Sb45k3YnC9d0mahe/dd2NRkfP89Vnstc8iFC9jKyRneQiCVft8+A2OwYQOidAS4sCcPvs6fPzmR5/6Fv2fOZC5UQOK+fX3vILxUTCOau5Zmsm8f88WL3K8fuJKduHoV2xs9g7G/6ssffzA/84yrTydOQJvzMDzHxmJ8ZZNGYiJz06YwRRhhFtTqnlYkym+/wRKQFhg0iPnLLxU/LFqEh0kjqNqzDV4nBGOQ5A9w61Z8GKVL46MpWhT2jbx5sVXKkQMMlibvxQwTyauvoukNGzDdBg9G03q5XKrPZ3I+pgcTIfO9bkLxhGxSGTmS2WrlS5ewcy5fHvQcMswKcWY45SIiYMaNjRFssyHkMCIC8sjTNHPtGhYQ2Ycm83N88IH643Tv7i7wz52DOcU5EbSE5N27mOi3brl+W7OGj0/cxmXKIOMvOZn5xnWJ33oLQmvdOp0HNZh16Qa1d2SxMK9axWyxcHQ0c5kyGDsnTpzQdkT5a+OMioINbdcu128DBmBwVXD8OGT75s34OymJ+bnnwH3hy9Go1UWbzftVpaTARKN8RcFEz57Mw4YpfjhxApMnjeBlWjB7bUoKYnZffhn9HDsWCtiTTyJEsGtXfFTly+N3zZtr32PKFHx/n3+OxfnGDYiGOnUc4a061wZiOpEREuAyzBqToqKYP/oIRsHISBaCefZszJOePeG4YvZPiDPjI9y9m/nkCcRpWyzQxCMiMEmU73r4cBT7kLsfG4s5OX68e5vXr2OyKQMHJk1ChIQTWhPpr7/cPTA2G9TKmBiOjkZ6f80agk+fQicWL2YuVoz5ww9h33eDL8GpdVzt9wsX3CT21Kn4gJyPoOfU9Ff77t4dhk4ZdjtiiPfs0bxk0SLE1MsERcnJ4Dd/+WX3nZsa1LqpFomyfj3zwIHGHsEfdO7sYfK2WlFpxqjn3Q8IwX69J3HuPGz04eHMP/6ILeGvv8LO/fTTrnfVuzdzy5amI6POnYNtu3JlfKfMiDoqVAhN6u2uVKe3n8bskACXYbByjhskCVvpxo2d6tXNm8xvvw2ahFWrcJoQLhI0M7DZMFF27hB87RraSUlB7syRI8y3b7t+K1vWnZrixAn417Zudf3Wrx9zt27u93jrLQhxN3jOsAsXsCdU2mVOnoRQV1zy2yjBBfIL5xY+JgZrXLFiEOhuJxuBETPL1q0YdAfsdjgLFV3Tdmr6I8APH4ZQiIx0/bZ6NYSCj/YGDYLVRUnJ8eKL+GdWiKtFonz1VZoEhTjx2mswk7nh6afddyJBhtHQWifu3EFUUPbsLHr1wt/R0cxt2zKHhcHGJku99etdWXFuN9W+p92OdSBnTnwSclTiDz9AOVqyxMfzqAnvAKJdQgJcRiAjsXs31L5ff3V+VUuXwsz23nuYQ/4KcWbmxATBhw8JPnAAkU/MUChOn8b2PCYGynGZMu4ydskShLReuwbZlTcvhL8Mux07hnPnVG4qq7CSxDxqlLd2uXAhtgNKCMG7dwkuXRoLhdyX9euxwLRrx3wj0uRkVU5uz91BXBxSSD3a276duVw511gxMwZp+3ZXp/z5YIRAZZZffnH//e23XTGZOrDboex17uy6fUoKfmvRwneRGM+1TDmXbt1CrL6vhSAQPPecioBq29YVChVsOB7Y0KtKTGQeMgSLa6dOzCdPsrDZsSXLlYv5kUewfVBuU+XsSpV7quHIEZhGnn3WZZW7eZP5+efBb6VnMpGbVhXeAbBRpZcAv7ejUHyhTh0wsZ88SfTBB0Q3btArr4Ba4dFH4fResADRAczGKgEp8fgTYVS1KlGhgkwnToBT5ZFHwNxauDA45cuUQVLkb7+5rnv1VXTnzTcRsfLyyzhHxuHDiCpQ/uaETHi1dy+8+LVquY4lJiLUpVw592uYqU4dXHLjBlGjRshEbN4ctCnFisErP3NWmHHvuZIYy9M7f+2ao0yJ++/166MAxi+/KH7MmROpm8eO+SifpIN//sFg9+rl+i0uDhUx3n3X5+VZsxL99RdoZ//4A789+ij4/x95hKhNG+NBM56RKBs3IiLq0UdNPpMJJCR4RKEQpV0kitFoDJuNaMIEfAC7diHcY+pUdLZxI0yChx9GNZQPP3S12bMniKpef93nLSwWRBQ1aYIs6G3bELCyZQv4eCpUQPBKyZK+u+v1SAFkW6ZrEmz6rBMBIBhLmd0Ow3OTJm4B2Rs3wqnXti18Jv5q4iwEWy2Cz5xBtEpkpGtVj46GFp4zp3uSkd2OLfpjj3knKI4YAT+OJhITkYHgaT/es0edxEGhSUgSNiQFCiBRU8buXYKrVWN+6SXfGosXhHC9JyGgfbup2S5cu4ZEitOnPQ74m6mZmAiNbeVK998nTWJ+4QVTTR09CkVRad6yWOB8btZMg37YAaUGJ0eiCAFTleeGKNgoXx5BPW6YNQtcIcGEihasqrnOn48Pq25d1/d29y7MJOHhzEOGsKhUCaEzSj6UBQuwPfbkjVa5765dyPR97jnX7lWSoOznyeNhGjT3SAEHcQeovJvCgyHAZezahS9x1CinSSUpCTbovHmRQ5CS4r8QZyE4Ph58zwcPuhymkoS527Ilkgbk+fr993C8//mne1MvvuguXL2wZAnz3Lnek2zaNPWsBJXZtGsXKuj06MGckox2UlNhM8yXD8Q+pobebsd9bt50l4AqGDmS+fXXPbovSQg7NMsA9vXX6oKqfn2MkUksXAin5tWrrt8sFizyTZoYE+JyJMrx49pRR8FE4cJwfbhh3z7EzwULGg/h9vP69XAmPP005qi8iv31FzSGN96AXbBRIxayvUrOyIyMhOTdsEH3JgkJcEbmyYPpLh+6dQvmrlq13M2Rph8pCNI3JMCVCLYx6fZtfFWdOiFsxIG9e0Hg3rw5lEG/hbjjP5GR0MbPnsUcvXvXxUEfEQENtHBh5nnzIDDlMMfkZCgpt29r3CMyEmXS7t51nyU3bmAl8JyVOrMpOhraZa1nhFuo7ZEjkH8NGpignJA/1n37fH5Bqangb3FTmmWv744dKuExGjh/HjwZys4z4+8cOcxVOFfgq69gO1Xara1WLDqNGmnH0stDIEei/P470tzTGtmzq1CfJCQgsiMYxncfK5A4cBDSs3BhxO/JXtzjxxGPXq4cIgdSUrASvvwyC4vjA5Njwl96CZJZ597r1kHpeO019+fdvBnfVs+exnlmNB8pCJI3JMBlKLfmwYTdzjxuHFQqhbZosWALljs3888/+/n9K2aGXJdz1y4opjNmgLMlORkRVA0bQh7LO8fr16HE1K6t0/aECa7AZaX3Zf169Xx9H550yS545EgoSP/84/rdbmcePRqLy48/GkhukeMyV63Cf3189CtWYCycH5x8fkwMhLiRwW/b1iODxYGvv4btwk/I5i1P7dlqhUOyQQPX7soT8sebmAjnsGcgRbAhBII4VBeVokUDt9/ovcdz55jffptFrlzuH0xCAnP//lhEhw3DS05OxjupW9dZL1UIxrE//oAdSO2dC8ExMXgXBQtCAZIhSSh3mTu3t8/Tr0cKUv57SIDLSOuR2LEDJpXRo91iv44fhwZaqxa4lk3DYxLcvYt2Dh6Et3zcOGgS69fD3nzkCCKs6tfHvFeTScyMj3HECPdFTY5bGztWnWPESGw3Y7dQqhS0GKXSdv48lKsaNVTsrJ7tXLzoSB31fW8hoEmNGsXe51y5gnb0Fu+1axHc6ym5JAnxkcrMLT8QE4Px8Cw8bLMhxLNePU0zP9vteLf9+wfUBUNISIAAVx3mFi182OJ8QGve3LwJ21v27Mz9+7OIjnHFhS9ciIXjlVdc5jy7HbGa5cu7zVEh2OV4UPvQhODFi/Ga33/ffWN2+zZcHM88oxGtZfKRAgkZVGsqJMCZ02ckbt3C8v7ee24mFXkLnDs3FDrTFKAek0EIOPCmTIHdu1491ymJibBhNm4MW/zq1SrtWa1QN7yMnYzfZs9W74eeVuHxe1QUshBr13b/KISAvbFgQQglTTvwli1uY+i8WOP+p0/DoXn9msrx48e1mZ+sVggDNfvEhg2I2wzCx3jkCGTLtm3uv9tszO+8A2VSrU6rJGERXrMm4C74xPXrkKOq+OwzOFr8gdr4xcfDfJcjB3OXLm6OAnHmLLYtavUox45VrXAiLFYWtWtj2+uBGzeY33hDcMmSWKuV2LIFJpMePcx9l5pTMchyxt/Ss/4gJMCZIa3HjoVJxeNrvXgR8aQVKkBLNQWV2ZKUBAHesKF3avWhQ9CmBg1S0e7WrNGO6120SHuroDd+Kv2TJCj5BQp4b0uvX4cduFw5RPC4ISEB5hOt+2kI1IFfCXVrh92u7dT87Tf3FVCJTp1g8wkS/vkHY3Htmnf3OnbEYueZ8HjnDnYXPnlngoCTJyHMVDFhAuhYzcJzXFNT4dXOmxfkIjI/BDPMHt9+yyJHDhbffOttBlmwAFqQWoTRjz+yqF3HbfcrBPP06cx58wr+7DP3MZQkdjKOLlhg/pHS2nSSRs3pIiTAldixA06XMWO8JtWUKZi/vXub/DA93uT8+XDg5c6NIIkjR5wmQV64EMkIefJAoT5zxqHtRkeD70RmulIiKQkmoKQk9VljUqDK2L4dytRnn3mTgS1YAKHRtatCeJ086dveqvIV3Y0VXLasxuKo5tS8dQsxmWoLVkIC8xNPmOMcN4ABA2D68tT27HYk/zzzDEwuMhYsQP5QeiRz7N2LzYgqtmxhrlLFeGOe70eSsMspWRIah+dLWr4cx158kfnsWe8ptXkztjCbNnnf68AB5vBwFopd1oULLmVpx3b3xm7fhp+zZk1vn7XZxzJ+0D+EBLiM9BbgzLDvvf8+vkxFKjgz5MLrryM6y3NbpwnFBJEkTMCFCxGL3awZFMydOzF5u3WDhrFgAcy4R49CwN/6ZSZblqxQb3//fleuvtpY+SnAmbFetGoFU4FnYEl0NCxPxYszL1sqECIQG2ts5srnOP47ezaiO1QFnqdTs0sXbQfl9OmK0jTBg90Oc7LabSUJ41CjBsZECCxs+/ZBB0jrD3n9ep0SmLdvI9PRyEqiFGRCYDdVtSpIRZYvd3+QS5dg45bDqhTRV87TDh9GpuXChd73T0mBlB43jtlmY5sNOlOuXLDQpKa4C9Vt22BW797dfFCNT+GdBvIlJMBlpKcxSQm7HTOqaVMvZ5jFgtC/IkXw4RqKeHPMov/+w/cg12+tUAFb9JQUmHtLlHAtDAMHItohOeIMx/f/kY/sS+XLl1XCG2fMcBmsPSek1uw1MbskCQEGnhEAMtasYa5d8jb/0Hwz37ppQptR9FWSIHc1M79lp+auXdC+tWIsmzRRIQUJDqKjoWx6kuMxo/8ffcRcrRq6+N57eE/pIcAXL0YyiyqEgFT05eVTzpM9ezCOxYphLJXC12JBVEmOHHCGqGxFhWDYHQsWRDKVmsTt0wfqdEoKHz9i53r1YIpybuAUCs9PP2G36q8vVnf800jShgS4jPQcCTVs3w4h/vvvbhPZYoFy3qWLSwnxBSEJbtBA8KxZrt/k8k6JiS4+8F27oHknJDC3esnOC58dyXzgANts8BlFRMAWbbczzAnjx2sL7SAIcBnbtqGvvXt7mxIStx3kHzuf44IFBM+eJYw1L/fNcfLevUjeU5oi3HD0KDTCMWPUj1+4AOeCXqZNgIiIgEVgxw7vY5IE6t7CheFOkSTXYpuWU3jmTNjbNVG/vnp2rgz5HZw6he1lnjwIDfIUvOvXw/nRpIluWSFx6zaLsmXhmFTyfsvYsIE5Tx62XIrkH761cs6cgn/5RWGxdPTnzh0kvtWooV4m0Qh0xz0NTCcyQgJcRkYLcGZI6s6dYVZReB1lKtl162BSeeMN/ZhfpO0j5V6JV19FoMCUKYgbVtblPDt9G3+fdxxPnuS6JjUVCk5EBHP0wo0sbdjkfTNZoKtN0gDG8/Zt0Kw++6zCpGK1OpM0du5krlJJ4pdfNmCGVvbD0c9u3XRC72bMQFyfVpLQ4MF4T2mMefOgXKrVDE5NRQDM009jqihj59NqGo8d6+OxP/wQXmk1yKFRH3+MUJavv/YOq7l2DY7QAgVc9Si1kJDAXKsWi0974DxlnUtmmNiKFuW9w9dzlSrMTRvbnfZsZ7NC8Pbt2AB06+Z/HpJP4Z2GO/uQAJeRGQQ4MzuNdE2buqlfshBPSGDu2xdJL9Onq3e5RQvH9tvj4LlzUHpeecV9e558J5FvdfuOl4y9ynnyeDODJiVIfOv78Xxiy22OivJoVp6gapM0wPGUIwEKFnTwTVy+7MaImJIk8XffIR19/HgN86vGruDmDYSNeSl48fG44YoV6pmaQkC4qznL0gD9+mER89yJbNuGedCzJ3g6lOn4aaXwDRuG+2ni119h6/NETAxiHbNnh6T01D6sVlwbHs7cq5d6vKQSFgsCs998E2yDkuQlfZPe7sJflF/OuXMzT54osZTkOi4EkspG/Cw4d24slP7C5zinsVnWHwZsfxES4GawbRu2kGPHOiWT1erStHbtgo27RQt3Qqjdu+GEcUZYeTzToEHMjz7qsVVcuJB54UK+cwfh3wULetCcnDvHPHMmx8dj93vihMc3JoS39AziWG7dCpPK72/t4NQLCnXU8XEcPgznZ6NGKqHrOv34fYzg1q09zDD9+2N7zwzhvWOHu3CQO5NO/hK7HdESnoRj33+PNUYIRO+UL+8eFp8WU/nLLzF/NLFyJVYbGSkpoN3NnRtbPjX7xLZtmMjPPovYVl+QJJRDa9bMuaqJVItbJNfG77dwmYcucJuXrAjJlB1BDty5w9zqZcHVq6sQnZmAIeGdxjIlvahkmUMC3Dxu3ECs8QcfOJ1pSiGemooPOXduRPfZ7cj4/vVXj3YUz7V9OwqoOCNbrl4F26DDnmu3w75arRrkthAMYnNFKF1sLDTX06cVviVPL1qQx/L2xUQeVGsNN3jW7lqwFKqmzQbiqnz5oClarexTFbVYmGvVErx0ieOc06ehJSpXr8uX3TM1u3RB+EI6IioKa4ZcdCMmBmY0eeyFgL+gXDl35TbY07l7dziZNXHxIrRomw3bw6JFQfijzJiVcesWPLB584Kv2+iC+PnnmJyK5AWRlMwsBMfGMn/UIYkLhN3k+V8fcT2/wj6+YweimT7+WPhLX4N7+hrbdIpqCwlwGem5FzEDmw3JJM2aOWNjlUKcGT63unXhd8ubV4M7w/FsI0fCOlO5MsNGPm6cV0KRzQatr3175v3bkjlp+GhXALmiuTt3cO9zZwUnJ0r69vBAceoU2w8d4WHDsENYulT9PmfPQmY88wzz/n2++7B2LcYiOUnAk/Xdd94nyZmaSUkQ8GbyqYMEuQjQzp0wJ3nWjrDZINvKlnXZzIP9Gjp29E73d4PdzpwtG1aS6tXV00NluuVcubCtMEomxgxtvmRJ962GgyJ26VLmIkUEdyq8jqM+/sr9OouFJaudf/kFt5ULcPsLQ9em4w4tvZD5BXhmxpYtMKk4jL2eQtxuR9z3Y4+BplWVEEoIbtkSST2NGjHP/eIAJLrKs0dFwUk25/ODfPrnJXzypHqbkoQKOxGHBV+6KNiSmgbCWwhEFDjCRjZvhhb1eV/H/VT6NHkSSrt99ZXX2uOFt95i/ue95fBmqUWWyJmaY8YgySSDMHcuFq/Onb2VWjkS5csvEWEjZ3MG81W88ooO4+H27YhCyZYNdha172nPHkzSmjV1a4eqYtYsODs8MmtuXk7l9u0kLl6ceVXPFapEVVHXUrh1K8FVq8IEqIwlNwtDi2I67uZDAlxGZhfgzNA8OnbENv72bTchfuYMzAcHDiBWt2pVb0KolBTm8HDBt24xH9qdysMf/5GjdmnHTR0+zNz9yVm8/+8zqMu5k511Od0gBNusqNkZcdDO165IXrUaA8KdO15Ow1u3kJTXoJ6kSkvOAv159VXEwKuRJ8o4fyKVLzxUhm//sUD7C01OBuOYVmhhOqFLF+yyPLf/QriKOwwahGgluXhysGRJ06buNVeZGRzAbdpg8o0bBwrFcePcz4mORvRJrlxQ4c1+aytXIiZfUbhaCObZswTnyye4Rw/m+EPnWISHu53DjDlbvJjEH3/kMJkoBsPsuBgS3mkYMqiGkACXcS8IcGbslUeNgp1g1y6nEP/wQ3BLM2P+TJ2Kb+qLL1xK5caNMC2wEMwrVvCMZjP544917nXnDu9/fxyXLGbnGzfQzuHD7FaXk5ndtouWVMGXLkgcEYH1Jig7yUOHVHOa7XbmIT9IXLCgh2BRfERCIMqgcGEUulANcPjpJ75Yogl36ugdbujElSvMjz8Om0taFp30AZkN1bMwNbNrMRcCZvpSpWDCD5ZMeeYZxTp6+TK2AjlyIKwyIQE3GTwYzE/MePlTp2LFee89b0IeI9i9G7ajdeucP126hNycp8sJ3rrBkcX07LMsfnDx0ggBX1CuXIL/mq4eY2lmTAwL73RMBlSLHUhLhAR4MLF5MygFx4/n82clzpPHOzrr2jU4NcuUgQXi668dsc+3bzN//TXfORPD+fN7KS3u99iwgfv3x61kAXHjBqJgTp92+IY8bd8CNvFz52Ajlws6+wWbDVlIWh4nSeJNm2D96NfP0UeVm925AxniRWB3/TpzjhyctPsIly/voakrv9phw5g7dIDg2r8/Q7J2bTbUTj5wACakKVPcj8sauIzvv4fz8+LF4AjwsmWZD2+IgrE9e3aE/MlCWR6rBQugXBw6hMiSypV9Vk3SxKlTEP5//83MGPJx46DIDxzInBKb4iLqrluX2WZjIaDwt2kDapaTx+yuGEyVQTAyLoYXwHQOhEjn9SIkwIOOyEjmjh25d6W13KNLMlss6rk0//wDDTR/fgfr37RpEIpC8LhxMOt6TQRJgrp38ybbbAhXVMYAW63sqst5TcJ9lTd3TOaEBAj648d1Mh/1cOUKtDAtOO5z8yZCgxvUhy1eCytXQjPt2NER2NOxo1NjnD8fxINeFAKSBMecHLpz7Jg7S146YdcuhAwyg+89PNx9aOTyakr8+COE/YULAcqWpCQe+uQwtufIiTA+ZeyqUsLt2oWdSng4dop+lZtiaB/FiztNVidPYp7WrIlnd8Z+ywPhCFHcuROL1ocfOnwfNptumqpRAW7opHQOgggJcCXuRQHOzLeuWTnP40l8qd7bbN2xV1WIM8MC8fDDzI3yneTjHYY61TWbFc4dL+fUhQsIBXPgzh3YVRU/MTNzfJzgg/slPnhAcHycx40Vs+vuXci8U6e0K8yoQja8a0Hx4djtzD/+ILhgQRR31kJcHBajNnl2cMqTeVhERTubeuEF5okTPS7YtQs8BrJh326Hg0GZPZMO+PFH9+f66y8szHJQhlxezRPDhiGizxkWagY2GwakYEFenfUljtpw2P24YtfFc+YgizIsTJ1L3ihiY5Gd9OWXbLWi/zlzIoTR6VuRs9oqVGD+4w8WAutFrlzsRiHBFosuUYwvuWtYeGfAjiwkwGWktzEpiBg0CI4t3rSJuXFjto6byKnJktfEW7yY+flmdj7V5Wd+qXAEv/WWgwBRCN64QXCxYh6C9b//vLyghw5hR+v2sxAsJMGR14VbXU75mHKGCYHolqNHcZ6v6BBOSsJOQe/deH6BQvDGjRBY/fvrlGez2zm+XE3+vuAEfuUVlyw+fBgLlRub7iefuDsYmGHS2b7dz22Fedy9i/wiT+72Pn1ARGaxuAomqeGnn7AGGeb6EALbtbJlmWvXZvv6TUzkYcmSx/74cURIlSsHHpOyZc1HmchIToaq/f77vH8fkm0aN1ZJuElOxsO/+CLHRAt+5RVYa06c8BC6qak+TRtahwwvdhmUQxIS4DIyaAUNFDExcFSeOuX44fp15nffZeuHn3Dq9Si3OdWjB/PsDzczT5jA8XGCe/WCSWXmTGYhCW7f3iWjOCUFmUEqIXVz52Jn62S/VWhgnnU53Y4rIEkwnUZEwD6rWenk9GljvN9KG7wDN27A7NOggUbx+cmTmatV4+QEOw8aBMVxwgQ01bu3ouYtQncUg6x4pqgo70zNNMKyZarFZNhmQ4rAp5+6IlG08Msv0Nh9Zh9u3AjKvrJlnRSud++ibrFziIXAiu9Zj5IZ8YYzZph/SLud+dVXOfml13hAP4lz50btbK9P025HjHmePLxn+W0uWRJKjFIhcPYzOdnnt60mew3L4wwwnShvHRLgzPesAB86FE4tN1itzCNHsrVpC07dttc5t2qVi+OrXb5183Tu2IEd6EsvgdQ+d26Hhnb4sC7t4RdfIKTMYmFVHhS5Lufhw441QGNs7XasORER0IDdtEchIEiMJHqoCHC5/R9+QJ1DN8dlbCy2EooEpoMHIbOaNcMCVKoU+s/z58NBpgYhEBKRDk7NXr20XQG3b8OJO22a74LQo0ZhPFQtHIcPIzZTpmdVvJArV2DGYGY8q1xp49VX2SuO88svUZnCDIRg/vhj3lyhG5crC5IyOQzSC7dusShajEe/d9DbZKJojoWAADcgYD02ccb7nIFyI70ZsEMCPIhISMB3pkkfsXEj2xo149Sxk/jieYk/fHIe2xcu8TotJQUFePLkYX75ZcGtWzNsmUqN0wM2G2LNP/uMNbePQsB0vXMn8/lzgm0W7fG1WqElR0RgfbHbGYJ740ZjX5OPLeyGDTCpfPmlQ0P97DMUmlTpx88/Y1fz2mvQ4EXLllADtSAEbEJp6NS8eBHd1YutdxSd4R07fA/Z6NHYcTiJvC5cQIRNzpxgD1OxbR07hkWCT5+Go0CtHqWMmTMRBmICcV8O427hczl/PonnztV5BiE45o2PuG3RvVypki7bLIiuDO6O5PuZUqYzWGakt+UmJMCDiN9+w05VF9euse3tjvxXrVE8r+zXukbnw4fBh1zwkSje1v53fWnB0PpKlWKeOU3fd2CxQNvbvUugCIMOUlIgS44cYY7eFMHilEGmIQOqSGQkFp2ONY6xlD2HrmP01Clkqpb+XyRbsj3u285ts8Hmm0ZOzSlTVByrKpg1CyYSPaphGWPHMlfIe5uj3u0FbvMvvtDd7ezelMx/5P0G4YPffqsd1smMsXjqKd+dcGB5t+VcNOs1fufVRM36GTL2DlvHpbJe4vc7pPqkYxdWm+FKxEpfrCFkAu6kkACXcY8J8JQU2KENFT62WHhm4S95ftG+LPbs1T3VZmMe+uJWfiFsDQ8e7DsC7OABwfly21W5ijwRG8u8b4/ERyKET+dlYpydr01dzcf3JRmjyjA4k21WwedLNefhTw7lFRpV45RN/tvoF54f1o7799eXV8yMxXHbtqA7Ne12RO1pUZN7omdP2P11311CAvPgwZz6WA6e++j7fGqtmpNAgeXLOalASd4Z/qKxIpFxcTCY+xCet28zv9PgMhfNcpWXj9cndReC+fchcZwrLJpnfKFStFgNFguEuAGYEgGZRF6EBLiMjCqn5icmTdIpbeUBadce/i77KD42eQenNnyOxcRJurUrxZ8TuE2tSC5dChEAmkk+zMySxHNmCy5RwliSnWQXfOWS5KzLqRlc4rC9xMVBez950jv6wrMfhmbyokXMpUrxhhUpXKQInLaagk4I5kqVeEj9lVyuHKLaPCreeSMqCicFQnPngb174YA2+qGmpGD3oMrbbbFA9c6XDyaOY8d4wgS4A1R9xXI9yqJFeecXC/mFFiakReHCsLuoQAg4w/PntHC3bFP47updqufJiI1lfu01wRWfuMjH3vpR91w3pKTAjOIDfmnfmQAhAS4jE2yHjMJqRXCAIrNYG8nJfKPbYG5Y5AILwWy7eJVT23di8bEGC9ylS8xTp/LRo8x58woeMUJw3rzwR6lqzY5x69sXzj9DORtCcEqy4OPHsdN2C9eTsXu304MlBLp67BgcrF7bZqNfX3IyMjwcOfeRkUgYbNxYw/Kxfz9zgQJ8+byNS5SAyapQITgTdRcT2akZJHbL4cOZlywxfr4kYf0rWlQRsy9JkJilSoFwymMlmjQJQtzpT0lNhYdcUY9y2jTQnBjGc8/B0emBK1dQvLps8RTe/GQr/YB9BmlX6dLM7z17mhOfquZj8BUQAgJc0mceVE4dQ0I8E8mK9O5KFgohYCxYQJQnD1Hz5gZOXr+eDsaXobIvlKSwMKKHShShrNMmk7X4U8Tt2hPt3+9+/rFjRBUrUqVKRB06hNGJE0QHDzCdPElUowbRli2Kc5mJwsKIiOinn/C/AwYY6FNYGD36CFOF8kxlyhBdvIjbpqQ4jqekEN29S1SwoHw65cpFVKECUY4cRBcu4BqLxb1NYta/78iRROXKEbVuTURofvVqoiZNiOrUwf+7YeZMonffpWKlHqKuXYn27iU6fJgoJgZj4XW+jOLFiR55hOjsWdc4+YmEBLyiJk2MXxMWRpQ3L9HixUR9ejOdGbeW6JlniIYOJRo9mmjbNqL69d2u+egjvMPnnyc6N2E9UdWqROvWEe3YgQNPPEHx8UTZs5vofPnyRCdPOv8UgmjiRKLq1YkqFr5Lhy0VqPFvrzrfhyeYicaNI3rhBaJvut6mGSfr0OPTxxE9+aSx+zMTMVNYljCfpzqmsfO/um2GhRk4MX0QwNTy94aZFJloVdWDJIFl0IsRTg03bzJ/8w23e+Euz53rfshmY05duYFFo8ZQvyQJ2+vRo53ZPDEx0Dh37kCizt9/I+rlk08chFAedsBbtxCYMHu2iYdhV13OnTvxX+n0Wd3KLHY7tOeICObLl4RL69fb1l6+DOebRnbg2rWIiBs0yLGLsFhQJeMobK3JyUgSkTPp//0XynznzrCaeMFmg+0jQE7XFSvADWUWFguz2LOXIys042tZi3LcmOk+E9XE1Wt8oXZ7vhlWgM8P+cvrm/jxR0VsvBH88YczxvX0aeT5VKvGvG9tDBycQ4dqXnr3LgpWVKjAfPSwHfwG331n2CHpTMyTK/ZoaNam4r8zid1bifTOPQwJ8ACxZAl48n3OIyGYJ01iy6oNnDOnIqlGAZuNOfXcVRZvvQ2pvG0bSFMUmDyZuU4dZrsNX8Dt26AOKV5MoPi4R0f278dWXFG8R7+PijFPToa8PPnnJo45o2ZXcYfVynzlsuCICMSS2606g9KuHQiYdHD9OsxATZowR01eDNINBZYuBRufHGcdGwtGwCJFECruNX2SkmCqiI1VfV4j6NvXgN3dE2fOsPT6myxy52YeOZL7dEvhxo11zFuKepSi12c8b+Jdzp1L8N497n3t189kIaJNm9hWtSb//DOiE4cOZbbGJGAQe/bUHIv9+0G+1rGjo+LQsGEI0E9K8hkZ5YQQOFcRFO95O19mFS9kQhkREuAyMuHL8YQQyCfx1KZVcewY8/DhvHm9jWvU0D7NZmNOjbewGP4TVMyFC92O2+2gwJ46ld3GZ8VyOC7ffUfycl7OmgVN3Fc4GDN7j3tMDN9dvIH37IaNXFfhclyXmoo46YjDCFP0Wtw2bULKqQHbqc0GIbXq0Vf4RPexXrdr3Zr599/dr9m8GfSur72mEpl45w4Cs5VseAbn2ZUrKDRhmAsqMhILcfbsLH05kO1RscyM6xs1cpFguWHrVq96lEIS/NccwblyuScOde2KTE6jOLQ+ip8J288NGghsfCwWBNa3a6eqgQjhKtQzbZpjmA4dcmXBGkzIcY6xooya8mf5/301odpmJkNIgMvIrOXUFFizhvnppw0oITL7z7Fj/O23CO/Vg83GnHozlkW37og/mzLF7QPbvh2mlNhYdpvIcXcFf9pdcIECIFVSDl/v3vBhGRI+yo/5yBGUTrMjSmXnTggy1Vfj8WNSouCzZwQfPQqzhhCOh6tc2ZuBSw+3b7P9kf9xxQJR/PXX7uN97BgWJ88dTVISkoQKFPAaPqwuBw64/2hAIMyY4aN8mYy7d2H7yZ4dUvb6dbbb3ft98yZ2Cs6MRa16lEI4nX5//w1hKoeqvvOOsVj0lBR0J1cuweMe+4KlcxfQfocOboWIPR/hzTexEB45omioYkVIdQ9tWhfyuFosXhLOqBx2OycTmk5khAS4jHuAyKpZM2/+Z1WsXw/bhxDcoAHoU33Btnk7W/5bzeKyQ+3r3t0tnrljR2znmdmL+3vrViwsrVu7Up+tVqTa+7BauNqRJLyD1avdwkySkmDr3rfPZYlwXqPWjhAcHw+F7cQJ5uRfxmH7beYDHD2auW1bvnYNz9C0qavGJDNMCWrFFJjRz5o1UU/UrWzm0aPe9ncdaSJJqGWty1mSmoq8+Dx5YDBWZM7K5dWU2LuXOVcOO18eoFGPUtEfuVv//APzx44diBxx0HJrYts2COEXX4Q/g599FtmaffrA9qeyCzpwACbxd99VFMhmxuR54QVnNImhb1Q5pikpXu/dzEbbeV4m3p2HBLiMTC7At2+H5ufThxMbi7z4W7c4JgZKmU/qVoe93HbxKqemMotUC2LXWrRwGrOvX4ecOH7MI97KMbGTkxFTnTevi3zo5k04+jRrKHr24do1SAoV3LqF7byzLqfWB6X4YGPP3mFbeG6+vGCPu2DwhWrVnF5imw1FMAoXdtXnjXH44DzL1cmwWGDvzZcPpmWbjV2ZmmrZnyqC/MABWENUH9NuR6p6sWJYXVRY/4RQUVj37OE7JWpyRLaaHLNmr/cFHjeT/1y4EEK8WjXtzPn4eMSq58sHLd/Z1AcfQPKXKuW1bRECO4xcubAJcLv95s1wIl+/7uL9NgJlIx6x+EbNJ27nZ1LTiYyQAJeRyQV4q1betldVzJkDGliG061pUwPXXLmCSBR2Oe6FYEisRo2cW+yffmJ+oYUiplZlzA4ehAbapAm0x337INQPHjTQj127NGgDAZsNWu3OHYKvXdWI7VVqXJ98wqJzZ75zB9vy8+cNyIGICHTYQ31dvRpC/Ntv0Y9p07Aj0lPsT5wAK+qzzzqSZDydmkp4CIoRI1RCqIWABK1UCaFIjoIcWnAK8Kgot3qUPbrZuUkTD8pfjXbknxcvRmKl2hxctQoLdfv2Ks7y9u1RZdsjezMuDoeeflolgSguDmnG8+bhbw9btiaUz+Eh9M3Yv53XSIKFPXOaTphdgTbpiZAA9wMHDsAG7Yv3gc+fR8yZY+L26oXQL59YtcotJ99NiF+5gi+te3dOiYzhcuWwMDCz5tbSagX3dO7cIIaaMgUKmGrCjoyUFNh6DISJJSYI9bqccp+YXc4vR6UDScL/RkRga69pTu3bV8Pbh2Sfxo0huK9cwdrma3dht6MEWP78KG+Weu0OxlrrOYXgxERYRNzCE3fuxGpQsiRuasAkZE2VWEyegq2Toh6l1Yqm+vRhnxqm8nCBAqBM2bQJf9+5A9Na4cKKOaHEypXMTzyBxUaBgwexg3nnHY3dYefO7hSbKSnmDdd2u/Mlqz2iISEueXPqZyZkhGk+JMD9QPv2sGjoQpJgD1WQklSqZIArxWpFySqPSr9uQly2CTz/PC8fc47LlHHsTjUoXGXIhFA1a+J7bNFCxwF77hy+bF9bVsXxmzc96nLKxyUJEmrkSK/LbTYI4sOHYc1w64/VChuATgy61YpajEWKYNjKltUokuyBS5eYW7ZEjcaDiy96OzUVWL1K8DdfO8bgxAnQtebNC/XXqCPv0CEWdZ9lUbmyG2WujJs3mQsXEjx7lm8JJb+OfPngWsmRA1a6AgWg2KttKJyFiGfNguYvsGOaMAHmmEmTNF7z4sVYEWT/iyKW23BHmZ1au9Z08imYHcpJSIC7I3MK8IzYixjEiRPQ3lQ/EiV27sQH7phxV65A8fK58zx2zLVV9YCbEBeCedUqFg0bcauql3nID4qoHR/OuD//hDZerJhD61PD5s2uuEM9p5HH71Yrduc7dyKKTkgCcZblyukKO4sFQjUiAsJMkhimpypVNK9RYuVK7Ipq1FAUwfABIZDkVLCA4BEdj3DiAXW63n79mHctuAr7cY4cSGAxWoPu7l1svcLDWRo5iu0pGhNACN69S3B4uDHzlhDMjz4KU1TdusxZsuiEFJ48iQVn3jxMokcf5bhzt/mtt/BaDh/WuO7GDVyn5IiQy6EZ6aASFgsLm92nLqB5wKOKVGZESIDLyMRhQu+/D21HF0lJ+MgV9uMZMxCX7BPz5zuzDdUgC3HJ7pjFly/z6Zc+4zyPxPGVI7GuE31ozpcvg3fk4YfRVTfExuKjVS4Iau9D5x7x8RBEh7cnsFSoMMxCBpCcDOX/6FHm1Favs/h1lKHrmKHJ16kDwWam6PrNm8wd2tv49aJ7eMvf192ORR6L5mVP92ORPTu8gjduGDcfyPUo33qL+fp17fJqinGcOhXmZl3zFmMOEGEh/uILmEzCw12OXSeuXcNK7ShEzMx8qGw7Llc0id9+W2cdEgKOHiUDlxDmYr+VSEnxab/WbNZj7oUEuAshAW4CFy5Ai/aZELN4sZcW3akTbK+6iIvDh+ZDTbfbBKemKBJkLBbu32A7v51/g7u5wYA9dfBgaG/t2yvs10ZD7Hx8SUIwx/cayNENWrvX5TSAhMvRLD32Pz615abv3Y4CVisWpkcfNUgupsC/fyfya/m3c4+Odzn6WjLzTz9x6hO5+HTNt91jEH2ZlTzrUSou83q1Km116wa7vtZ4nT0Li1RYmHvAy5o1EOLOtVIuROzYkgiBuPGc2RJ44jub9V/f5Mnov5IxzWjst0rDIsl8FR5mVt39hQS4CyEBbgI9eihir7UQGYnQCIU3T5JgRvRZIGbXLmNB4kK4NHHHMMXFSlwkTzJvrtITSTIeseF6GD0avq1ixZhXLpcgCdTi/JQfk5FwrnPnmLNnZ+vxM3z6tEddTl8YP565VSuOjYU8PHVKvUtqSE0FW16uXFigzFjjYk/e4JXVvuQbWQvzjaov8LetD2q/N88xSEhQr0epgJv80xhDiwUEhZ4x+zYb3Ag5c8L0lTu39+Xr1kGIr1zkKET8wQfMArH477wDH8Ghrn/CrKOF8+fRiGdcZmqq8dhv5Z+SMF2Fx/mHj2iczISMYMAOCXCDiIyE9q1TNAb9/vNP2I8VOHIE22Kfk27KFN2wPec9HA25CXFJ4pkzmatXTGXb6+2x9ZW9eQZm+6efIq+jRqEb/OML27S38D4cpW545RV4GB3XeNXl1EOtWk4aASEQAXL0KNYEI9TeK1ciabB+fSTxOIJftCEEdk5PP81cuTKf+OxPLlFc4pIl3ZOGVK+TJPRVrkd5SbsQgtWq8GHojOGNG7Dp//UX/o6IQP5TvXpwkxw5ggAYtWY2rrXxfw+/yjdqtWK22fjwYSjTb73l0Cvmz4cHWw12Owbt++/dfzca+62mLZtxfLJifHRkQGYV4Ondr5AAN4j+/ZHIoYvDhxEw7KGljB4N27kurl/H/tbXDPA47hTiNoklCR/4H79bEa/44ouuoF4f7VosiFD59e19PLDDJS5UCFYgr8tkieGrn3KgdkKC28wWwlWX89w5DTPBiRNQnz0+ejkZKSIC2fB6MkEI5tdfR9jkgAHg4t6wQePkzZvhCXzqKaQ6ShLzkSP8U99b3Lo1GB+nT9d45DNnkJ1YqpQz3l8PNpvDf2HgS9+1C8q8HDI+Zoxram3f7ooG9NJaP/6Y71Z8lgvmSOJPP4XG/uefivOOHMGAqOGnn7B4etp6zMR+e/6vzWaCQMZxnQ9paGQKpjdCAlxGJhPg0dFwxrulYnvCYmEeMkS18HCbNgayH9esUQ0v84LKDLHbBKcmQ4Dv3Qu/WVQUg/u0YUNkCRqY8ZEXU7lj3lX8zxwLb9qE7farr6oUV/DFU2O1QpOV1UeVezvrcu5WqRw0YAC2BBqw27EIHD6MvmnZik+fRkLLtWuQrQULMv/wg2J9jYhALGGBAoinUwiZlAQbv9Esmm9F3OA9e5D1+MIL8IMwM7YB336L1NrvvnM593yMsd0mwCRpADt3Qgt/9FFvNsmVK/FqZThv++23zOXLc8LlaH7+eY3olNRUZAF52qQOHcKKoVY8WyUN3gtqwpvZeOSK4mIh+WEvz2CEBLiMTFZObfBgOCF1sWaNKkGTxQLtSbeorc2GkENf3jqdUD67TTjNKR9+CHs9M0NVffNNJMPcvas/wy5c4CMz9jvLeSUlYeeRNy98Ws5X4muBHTUK23AD9vLYWITKHzni8JfZ7ZBaWnnxClgssDhFRMDkoNalr7/GeDDj3AYNmDs2vMjJb3SEnXfoUFV7zvr1zAO/sEDVvXuXU1OxqcmXj3nZx8tZlCyJHY5aPUqd9yTZhU9ZlpAA8rE8eTClPv4YjlnldfPnY+1R3lKM/4O5SBGOWHODy5cHyeCaNdDAvbJIy5Rxy1HglBQ4PNU87UZNIIpdltsQKJ01RtowmLATEuCZWYBnkrcTFwcFTSeyDyr6N9+oVhLYtg3amy5OnjTGSasjGJSOzchICBpnfG9qKlahF1+EpNRqZ+tW5ps3ecoUWBPkx9m3D8/QvDnzubMKoaz2Ud68CYmhDGb2IfAlCXHyO3cy35ixmkX58qbef0oK/G5HjiBCSHlpXBzsvzt2MPOdO2zv2ZtTsmXnSU/25a1L1Co/AF995TC53L7tytS8dInjmr7CN7MV5YFPL+JjR3X66CnFHH+rRqIosHYtbNuvv+5a9C0WmMb69XOdN3kybNpOLFjAUu48PGXwNc6ZE5wm8u137IAS4RYY1bq1ggqREYvYooX6uBvRoLWEN7Px0ENmL3ObL2QSMcHMIQHuQiYS4L/8go9JFzNnakaPfP+9gciVBQs0KtgqoDceivGShfioUeBdcbts+XLsu2fN8haocXGQHo4LunVjfukl13crW4hy5xI8cqTjd7Wv9YMPwKqn1kcfSElhvvvSW3y5x88+46DVkJgIk/Tx4+6F6OdNTeTJxX9kER6OFPZLl/jff2FS+fFH78CKmzexaXH67E6ehEknRw7mAQPYHpfIo0djkfzxRx3lVOkvUIyTWiRedDT8JIUKoc6zJyIj0V+ZffDXX5k/+shxcNMmTshRmDu+eIvLlFEv3rFrF4S4U0/o39+V8SQTVWkRexkRwI7FSdVnYrSgtEcD95oAzwgG7JAA10FyMgILdHfzZ87gK9aIj23YUJsxjpmxXx492vcW1ZcA9/gzPh474vnzPc69eBHEHr16uZtsjh/HPwdSU9F3t6xGIfjECVhHatd2rDnKe+/ZAymhJn2NbKHv3mV+/HGOOXad9+7FrsefYvJ378IPevKIlZN//YNF/vy8M08rXjz4iNt5ly7BpPLii+52+L//RsFkZkZcXtmycOytWOF2/fnzsItXr64zR1QEuDMSxYFFiyC4P/hAva61jB07YPU5fBiKweefM/Phw3w0ez2uUDSe33xT30q2Zw/k9Jw5DNvMq6+6iKq0eGmNxH5rCW9mvHej5heNohK+LsssyIjk8ZAA18H48fi4NWG3Q0XXyH2+exc+Lt3CM3v2+I5e8DUWKhNfktBs8eIqJt6UFEgAOUpFCGjfHh2NjERsuLOqm0LLHzsWNtpvv4EDlSUJaZBjx7IqjAjwSZOcA+5Vl9OMS0SSWPw9j+2lynBS1Wf56tytvH07zL6eAtJigfWgWDEookLAZn5i3TVkN8nVMaxWeFw9nBlCQBYWLAgTh9tYq5hQmNGUJKGp115DAItc29MXJk6EiaVbN+bRn13gaTl6c67HU3jcOEMuB963D0J85be7YFt6/30PW4wHjMR+Cx2OEqPJPxov+F7SwkMCXEYmEOAWC5JBPEK63bF1K7t9OR7491+w5eli2jRoxXrQGwsd+7IkIRRbM/X/v/+ggo4dy7xli+opO3fCiXkkwrsPly5B3lasIPjsoOlQ+bVspUbivurV89IE5bqce/fqa6dOrFsHtq7y5ZmXLmXJLvjWLdjH331X25y1bBmE8Gfdrfx3rV9hbpEdvzISE+HUVFmRIyNhdilXzmE71/FXWC2CpzhICfv0MZ6gJOOjj5gr5bvFbz2yiEvninHzRSpuo4kDB5hL5rrLUpYsCPXUGlgjsd96wpsZq5Uv+7nO925k2oQEeGZDJiinNmMG4qI1u5GQgJAtncye3r0RtqaJyEiPAF0VGJm9OuecPQuNSy1YgpkRF9e0KShDNbYKkyYxl31KqH7nQjDPnRDHt7Lk57FtN2gLI19f4pkzsDFr2Ezu3MFmRbMu54EDyNgpUgSEIh5Cw26H6aFwYch4NUdi5PytfOrhSnzwf/U4eqMGw5Ps1FTRKoWAOaRoEcEff+xuh5dx/jzzc88JrlhR+Gam1MCBbUlcms5xvccOcmyM9pjqDfeRdTfZTll463uTtU8yEPvtM9zPlwbvK6KJQwJcD5lXgGfw7StW9DJ5umPBAq+Cw56oUkWzoA2wbp2m5utEgAKcGaF0r76q8Z1YLFA/Bw2C11Il3EZIgrt2Rdia6qv54gtObv0mv9VO4tKlVQiVjPRz0CDEy+lAtS7n2bMwdeTKhSQqH0bz0aMRTXP4MHKn7HaG17JTJxZ58/K4Z6bxJx9LXLy4zqs5fx5mMw2Cr+ho5i5dYL6Sebntdtw7Vy6s+wkJ7JfkmT7ZxrkejuOeT0zl8OySt4/DvSvqtxCCuXVrtuQrwp2zL5Jrh3jDR+y3kAyox764ww3Yxu4VLTwkwGVksAD/5x/4rDQnxdWrSN7QyQe/dg2ar6YCIxuSVUIPnTBqAPRxXkIChMny5Srfy8WLrnjgZcvguZwzx8t+m5oK5+WgQR7XnzoFzfnSJWYhePEiwUWKaDjktD5WSYIRWne1cyEpifn4hht8643uLJ7MjsQfNXVXBRYL3u38+cwXztr52sDxLOXMxeLjrrxtWTQPGIDzliyBSWXYMJVuCwHfgWeBTI/3sHYt7O4tWzI/84zL8SuEQoE3Ip0YU63ze4JLP3GD99bqzk3rpfLIkXBqHjmifZ1q01OmwNbz8cd8o8cQzpcPG0E3+Ij9FkKrcY+T9BZUE6bSkABXR0iAe0AIfGxeiQ/KE8aNgy1UB7NmQevVxOnTvtMzjcxKg969efNgopYz253Yts2dKOTcOXjW+vSBSUXRh+vXkYHt3HgIASO4kjdDkjgmWvCHH8JcsWCBogmtvm7YgMBzI88bFwejfvbsnPzuR3zg32uuupwGsX4989ul97C9ek22V6/Jlxfu5WPHENWh3D1cuACzfMuWKgyUNpu7U1Ol7xYLqGAeeQSVc5Tp+BaL4hIfQvz4ceZKlQS/ViaCYys3ZI6Lc+7u/vwTTlA9/4Bb00qiqnHjmDt04GPHwHHvlsOjE/vtFN5GnOtaNnSDC5fR0002F3QYsASlCUIC3AMrVkDQaXbhwAFQwvl4W507+6iZuXixbqUZw7PR4KwRAgynv/2mSIyLj4fE8mwjKQlCsmVLL5PKjh1wah49yq4wF08ty9He+vXQQF9/3UEIpdXXjh0RZK6H1FTYIPLkwQLjoLt11uXciV2Pz2Fz1KOMz5aLV7X5w/miL1xASOCBA+5+y9RUrGUlSqhwjCckODM1PbFnD0xozZqhf7t24e+WLbFZkSNR3KAihWbOdPCgtFnPolRpJ51jiRKunKwuXdB3rTnrbNZuh9P6u+9wYMMGVMBgLBIFCjjmrKw5qwym26LjC4oyal7wQ9plZi08JMCVyCABLoSLOkQVcj61pkfQ1U7RomCNU0VSEoSRnoc/yAKcGXbffPmgNKamMtuPntDupBAw4DZsiOwPRX8mTGCu9FQq20uWVvcDKARRYiI023z5mKdNVeG4iI8Hl60WC6MkoWxOiRII6dm1S/W0xETWrssptyOHfnTuzP9v77rjo6i2/w32BgQSEoqIqICAShHLo1jwoYiiWACliKigPuwVBbvCQ0VAUSyoFEVAkSYCoghKQHoIIZTQQieQns22ud/fH9+d3ZnZmd3ZzSaB39vv5/Oemt2dOXPvnXPPPed7ztmz+ggaNQoUDpwxg/tyXh6HZPt2vYds1iy6VEaMMAz54cO6oKb6vElJvJ12GlX2ZkoKC1OZ6jbf2JWWkuHXuDHwz2vz+SNNMZ7atQOyO51kcIbqRCQlWNnryisDfr2DB4Gzz/Y/UFYWn3HMB+bUP/+02jV3rYKgUbLM7FjhVYW4AlchZZUp8KVLSR20PI7/8os+/dgCmzdTgVsuqDVr6G+2gt2VGMW58T//IQ1N8Uq4fvkN3uMhGkgqCpVGjx7USr72LVICP7UbgY21b7QuzGR4SVetAi5rKfHvm2SgIBRAv0LnzubPtmABzdbLL+e/23hW076cGzawFb2hH+Vbb9H4l5LJo+qBSEq6TDZtosdB3Wd37uRlunXz5Sqp8uzcCWzYgD9+l7j4YlI3Q5UdTk9n8cOOHc1rxGdmApddJtGjh0TeD75iJob0ytNO07v99++nBW3p+tu4EbJGDX2jDimZqKApf7ttG9CorhOj39e/g7qlZnfNuVzB73I5fR0nqhUeV+AqqmokQHfup59afHj0KN0KNoJl48bRhWKJb77hS2+FClTgubk05tYvOgpl6TJrlpd6XfU4PWwYNVdmJrB/P2SNGuhzRUbo9nKGeXSWSbz5hkTt2jyAeL2gVW3cFFet4t8vuIDWd4TrwePhIemfxQUoeehJcrpHjw7y6ZaUAM2b88Q1YEDwbRSF4YH0dB4QXC5au08/DTS6QPr3gvw8iUfuPobUZA9mzLA3JS4XSTN16jBQqhoNas/hMWMAuSKN/mpNVx8g0E7N6KJevpxfDyISOZ3AZZdBjh0XLNvVV7P0rwopsSOjDA0aUD7fn2z763Uwslhi8G7HFbgecQXuw+rVpBBbBs0nTrSdLnfnnSEM9SNHmOJp9YyRrMAorZnx44EBV6yHsmOnP9M5SIlrFbj6P9Wl0r498MQT2L+fJ41Zs0LIZ6IVMzJogd7Vehe851YP+CqysujfTkqyV17AClICU6dCSUlF3s29sWnRAcvejzNm0DszcaL15TweEo82bqSl6/VI/PgjLd7+/Rms7d9XwbFFa210jgiIqDaAvukmpuPfcQezLFetAk3zpCTSZQzzfPQocNZZ5tcdP56nSJ2d8cIL5MibVfkbMEBTNwB+t0d2Nuf2vfcMSyyS9WYWG4mBhj0R3ShxBa6iikbirrtCdPXesoVlR20UpXe7resCAWDgaOlS6wtEsgKjHCePw43HG/+KqROd/svolLhxY9D+9w8/AKefTl9McTH++otWpKaMSrCM2mv5ZPZ6gbSb38DUMx7E6Of2wzvwER7nhw8PU3sgDAz9KKWkqzctjX5to9XqdFIRjxgR/tJOJ7B7l0R6Oq3crl3JMLn6ap9LRQ1q2pRftbozM2k8nHEGkz8dO3yNiLVRcM0cZGfzFGUGKek779rVN5/LlgUtSN0S++9/9fx7jdW8cyeVuC6+HElsRhvjiSFN5ES0wquqAnZcgYO+ztRUi/fO42GXklBkWw1WrKDL1hReL7laVl2RI13k0Y7T3r1Y++k/aNAg8Mw6JW4mg5Qci9at+Qyvvsqu5Vu24NNP2b/Bspy5Vk5tS7YLLkDR7feh5NTqmFb7caxfYM96NUVxMS1NtR+lIZDhdsO0L+dff9GKbtw4fCd4SKaNf/kl3Rz3308a/BNP0HJesQI8Ya1caYvX6HbTQ1SrFj08+/YBfbvlYdsZLbGn7yuWMmzYQHaPFcrKyHV/6/lCHi9MShX7p3ju3EBnCIPSlZJpAhdcwGrEEa1NLQOlAt7pE80Kr6rqH3EFDgayLFPely4l7cLm7Lz1Fn2kptixIwTFBZGvgGjHacUK4MAB9O4Nf+KKejlnWYiOMRMmkHamljr4+WegY0fIaT/goYES3buH8KdrFXdpKasxVasG9OwJuX0Hvv6alvxzz9nol2m8ts1+lEBwX8433mB89JlnQvf5hZTYvZt0vUsvpaFdVEQFnpnJ0gupqfQbK9uzGRENMZ8OB5OdGjXSEGscDsgOHbDzhoGoX0/i8cdNGYpY9qdEmzah10pODvDdmQOR076X1eMQO3bQVQPouN9a0ffs4Qb1+mth6p5ooWWgVMD7HE6BV7YyjStwFZV8Ftmxg7xm00SIwkLmPdv0awKMvc2da/Hh7NnmxZqByFddtKu0pMTP/d67l++uNqFQ8Upzn3heHgfK2PZt+3bgzjtR9sxQXNPO66cYm8rrdpNb16AB66f6C1oTBw6QM37xxUFxO3No+1GGrHsQLMr+/Yzd3XwzTw65ufQdm1HzFa/Exx/TUh42LJj9mZ9PJb54MVl63W+XyP9zI+UzQVYW+1nefrvmMObx0Al+++2Ax4Njx+iebtQouFjlvHnAddeFmf/Zs+FMqocLaxwPyRSF10vfTW6un/ttdtm9eyQaN+bz21p26mZQgZrtRLLC4wpcRSWPxODBeitUh2nTAsUsbKCwkG5cM6sJDgcDc6Wl5j+O9JmjVeBbt+rcQW+/TU+IlIFrSmkS2HzySaBPH3NZS0qAoUOxr/MDaJDqxs8/m8g6ezZN17ZtucNVr27KxFEN6vr1WdbVlPTjcNBXXqNGoB9lFJgxg9UJ1b6cX3xBha61H7ZkSnToQMUcLu8qNxdYu5YumUsaubHpy1VBm/9333Ej+PBDjq+/McYjjzDt07A+fv2V+1PfvgFl//331PP+Gxvn48gRHmcWLsTHHzPJ1cq9JSVIr1y6FHA6rZeUlNi3j5vr0KE2lp66gCrQGIsr8P9xBb5vHy1Q036Ve/bwfB2BclAb3phi3ToEazYfolHG0f5myRKdVnQ4aHnOnw/d9XRKPCODylIbmTXeW0pg1iwsv+xx1KlRhi2Zvs+XL6diuugibohuN91InTqFFPXYMboYzj/fMGzz5vE8b9WP0iakBB5/nJR8tS/nunVkx0yfTjHffUciMZFuEbs9eRWFPvZRo4BGScWY8ujfUAqK4HAwVnjBBfBXIVQPJRg+nHxGi3z4wkLun/XqUXl/9llgL/VfSMsauuMOPpzvPx94gBmgFrW3IHv2BD75BNITIpXTh/372d/ixRfDLD+Ho1LyOU4UJR5X4CoqcSSefVbT/Ncow9ixPj5XZNfTlgXRYfJka4UTzfNGM065uaYMmJ9/Bpo2kXCW6a8nJX3i8oYbzWkaZvffvh2fXDYBt9dYCvdNXUmXGD8+4A+Vkok7oXh7GixaRAt0yG27UXbzHdToP/1U7jWyYwdjH6qOUftyfsq+wLjsMonrrw+uV2UXHg+9TZ2aHkb/yzegZQsFt90WXLvMM3Y8b5iTE/aaf/3FKpnNm9MiD4KUdFE1aaILJJSV8QRhxdmXw4ZDDnkipPWtxcGDJPk8/7zFNKhxjkp4j08UBV5VFbD/ZxX40aO0vk17KfzzD90dER7/WrUKdhEDoOL85BNziyRaV0g0R9MNG0w3ESmBLv+W+O9/TcSb+SNk44vgLbXgZBtl37sX8v4+KKl2Hqae+wiUNQaff04OU+ftUgWdTjhfexeO02tg3Nkv4bsvSmKyPD7/PHgPKS3lJnz66XSbaNusRYuJE4EzT/Oiybn7MXeO1E/bzJmQSUmQm604mMFwOFjO5OyzaYnrrrdrF7M2TQyPnBx6Vcw4+3LyFCj/7mJ+Q4vBPnSIHrFnnjH5iscTvhFEDGG1HipbgVcF/mcV+LBh5MsGweGgGR2uS44BBw/St2nKHvvzT1+bFhNE+6yRKnCPhw5VC5fQ5gyJpCRf0SkVpaVAw4aQc+fB6QzhRpCSpuWzz9K3/fTTcOw5gqsvOYY3G36lL0n47rs8/9tZ8Wo/yhtuALZsQVoaLdBbbglLNgkJjwe47z79Nf78k7e67TaJVasCCUrR9uV0OIBHH/VVyf1bYt47G3FVrR144QVuDPL3P4CaNeFZtiLiqXzqKdLwr7qKQ7NtGzieHTsy6A6YrqulS6nften7UgJy1T+QDRtaW9MWOHyY8/HUU4avuVy2ciZihRPBCo8rcBWVoMDz82mNaMtC+DFnjilvNhy++w7o3t3kA0WhC0FLPtYimmeNhmqZk2PtEvLJ8MwzDMD58cYbzAjRBDaDlHhJCTM9EhPpk9BsfDk5QP0UN+Zc9Q4jxcXF1JKLF4ee5/37gZ49A/0oNd8rK6OOSkpiOfVoXpy0tADVs6CAijYlBZj2fYCBMXIkRYimL+e2baTLd+umcZm43dg7fSX+fdkhDL5mA9zVa6H4+7nweiN/hoED6eFzuwPp+EtvHQWl7ZV6xWlyuhs7llOgNj+WXoUxkVNOgSw28DdtrM0jRxgDHTLE93U1ocBu0CBGqGorPK7AVVSCM+m99yz6uB4+TEehKY0kNB58kF6XIOzcydonZoj2OaNxu6j1VkPIkZfHQNmKFaDGql6drBXN1/zvpttNXnjduoyQbdxoKtOffwJ1kiWyHv6AZ/+6dXkBdRPS/sbtJj3DrB+lAenptEA7dDAvCBUKb79NIsy8ebS0+/QBjh7Ry+5wMCFr0aLI+nJOn87Ex1GjTBR+URGcU6aj4OxUvJD0NX74gbLb7EXhxz336JfU7jnpKD61Bu69LCu4v7ZhrUjJTfq223xKR6X7NW4MrFunn0Kba+zoUY7VY49KKF5prxFyjBFKgVeGEo8rcBUVPBLFxdQhQXRsKekY/eOPiK8pJdkFpsmac+fCtOus+sNoEOmqLC0l6dnKB6/BV1/5uhHdfQ8zG41fVyTc382AvOQS5pBruz5byDVuHNCihYTz+i7UmDNn6qOHANkqLVuSsbLRoh+lAR4PS8DWrk3PjJ2mDgUFVF733kv3hpF9o8WcOWQ9qiVZQvXlLCtjblLDhiF6fRw5QgbNo49i2mQ3UlO5maxbx9CEFcPUiC5dNFV8nU7g8suhjBmLCRN4khg2zMTto5kbh4MnhNdfR6Dud7duwNSpga9FuDZzj0q0vkLBoEGAUmJeS7yiUZVWeFyBq6jgkRg7VsOh1SIjg+fmKI5+W7aQSBBkcZWV0Sw3Sy0sz6qK1M20bRtNVjMYruP1Ao81+wOlNUxqC/z+O9CuHWTTpnBPnwWP20QGEyUuJfBw3zIUn1YTyi8LOAEvvcRxOXSIrpfkZODrr6MKzu7YwcYJrVpZ75WqHM8+yxjqY4/5Hi/EOEpJt9jYsYG/GftyKgrzddq0obfJMh2/qIhUkCef5A82bsS2rRJt25L1t3Urp2j37vA1vK69VlNX7aWXyOrxjVtODmVu0cIkoO6bGyl5wEpJ8mLuTN/Nnn/e3y8vGgUORcHxYxKtW0k8NsBRJXVBqkqBSxlX4AFU4Eg4ncxsC2q96HbTr2JZkSk0PvnE4DtWsXEjKW9mKK8CtwspqXitWsob4fGgpHFLPFXz28DRfv16ZrjUq8dCIB6PtU/c4rquyT8g/ZxrWbJA7Xpw2WV0lwwaFLo3qA0oChNxkpPJUTZaszk5NDITEzUlg23MQWYmjWZjMm5pKRXuiBEMXo8cGWJaXC5WA+zVK7D5btwI7NiB0lLm8Fx0ETeFAwd43Zwc6zhgixa+cMby5bz5vn26z6VkGKdePdZp0e7DfuUsJZYudKJ2TS9jQRMnsqKb70sRLU/Npp13TME1rZ148MGqUWpVocSjCUnFCv9TCvzLL2mpBeG334Lbp0SAu+5iLYwgTJ2q8yH7Ud7VFMlqOXaMbiGze5r97eOPgauvxoD+Ct5+cCfpGomJ1FAGrRiREu/aFcffm4B69YC/PlhFk7VxY5rNs2bFbN737aNF26QJWReKQoVduzat7l69NNmPNvHSSwx0alFWRiZI/foMBVj25VQUjmHnznrT2u32V9Zyu7lUUlMDnXr27qUiP3gweGgaNgSyVhdxZ/nuO0u5jx7l4aZxY5N+GIoClJbio4/I6S5etIIEcwTGxtYQGbWXx4P8Iy60a0ejprKVeFyBVzUqaMY9Hi7UoJLe+fkMXFpVCAwDt5uMiKA8jOPHqQzNtFtlKvD0dPOaHGYy5ObSolu4ECUPDkFhQnXkPvhCyMidLSV+8CBwzjnAzp3Yf9sgHE+ohcOvjeePsrLolB46lAGKGEBKVr1NTma844or6Gf+6ita6ZGOf34+N4R//uF/79hB3/gtt3DZeDyMVQf15ZSSdJc2bcx570VFwN9/w5NXBK+Xe32bNqwHk5fHTWLXLsZWjhwJXLdmTaCk90Okydh4FrV16QMPaFw8HrZNk4pEnz4S992SB3naaTqz39YwGdei2w14PCgoYIikb9/KVeJW4aH/rwq8mjiRAFTYpWfOFKJWLSFuusnwwS+/CHHVVUIkJ0d13XXrhEhNFeL88w0fZGYK0ayZEKeeqv87IERCQlT3ivj3iiLEoUNC1K9v7/svvihEw4ZC9OolzklwiO9e3iz6HBglkFjL8icJCUKcfjpv5fWafAgIMXmyEM2bC3HNNaJ+klv8+FaWuOmnx0RR6Skco2nT+OO+fYXYvt2erCHg9QqxZ48QHg/nJi9PiJwcIZYuFaLzjZGPf82aQgwdKsTLLwsxY4YQ11wjxD33cOkkJ3OKGzcW4vLLhTh2TIgNG4QoLBRCvP++EPPmCbFggRDVqwdf+LzzhLjoIpGwJVPA7RFNmwrx119CJCUJcfXVQmRkCHHhhbx2YaEQW7YIcfy4ENcVzhVnLftViM8+s/Us3boJkZ4uxLnnCtGqlRDTpwsBj1eIU08VCdUSxBefC7H1SE1RekYtIXbu9P9OnT5LSBl8f9/fatQQYvFiXq5/f5O1UUGwGo6wz3Kyomr2DQtU0FamKDypB5Uiyc5moeNyZI29845JGVIpmSZnVmSlvKZAJAyU/fvNmwAbf+9y0XGckMBInC8W4HTy1GLZccdwSVNLfP16to9p1MgfVZMS6N9P4q4emsxEKcnB69CBN4xynNavp3XcsWOA579gAS3xJpfIqLMrS0vpU65Viz0SQuHwYWDHsG/hSU6FOys79JcBKNt2wL1GT8OcOpWMknHjAn8uLAQ2/X4Uh0QKimf+aktu43JZtgxo3kxBz+5lOlbp7t3AX6deh9VDgyfbdCqs3tWyMt0PiorYwKl378qjhle2FR53oaiooJGYPZvHaN2lFYWc41C0BRu44QaTgoV79pjX+ojFCopEga9caV5jQ/29otCHeuGF5Hw/8UTQV+fPpw/VDsVNp8QLCni9887j/wybZGkp0K6tou/2AnDz6NaNjAi7vDqQDTd0KBWsWce614ZL3Hor/cxTpkQ2FdnZJJBcfTXHImyawPz5kImJ2Dt7PdLSuI+Hup9UJFyrN+q6zgPcgFq3JuUxLw+AlCi75U58cepj2LyZnrFQtdOtlkppgRuvvkga4xdfBMZq322P4q2z3sXWrGAWUdB1rCpjmaStFhVxQ7333spL0LRS4BWhxOMKXEUFjISUpF0FxXpWrNCbN1GgqIh6LygRY/5886zHWKweu+PjcJD7bTR71FW8cCGPJS1bkkLWrJnp2yUlWX+WDS+M31ck3N9MhUxNpdk1YECAT254/j27FNSt6+Nia1FURL7fnXfaqji4fDnF79rVPMW+qFDi7rvpy16+nDU8unVjoDAcfvqJMY533+XQDxrEjcISK1fSSe0rnVBUxFPB+vWw7MsJAK5iF2TayqCM3ZISslSaNAF2vfYNXI0uQeMU1oM5epT+8V27gg+RIZWVz0peu5YbU+fOwI7tEhg7Fplt+6FZM4nCgmAl7ocVjdXYRk2D4mLWyr/77spR4pVphVdVOzXgf0CB//Yb3QA6PVZayiwGGxXgQmHBAp74dXC5yP02vq2xWjl2x2fHDvMC1v/8w2NDw4Ys61pQQN9AiIbN27aRxRFW4fn6UcqmTeFasATuYid/qHYUML5VioIlS+gqCIqzer3kwnXsyCOOyfgVFpIJUqcOXQ5WR/1ffvG1BPOhrIwGflISGSpmQ+p00jVWv74+V+ngQXqDTMswaBsR60XQ9eU0U2BuN6AUMKhpFsydNXo38hIS8XHfVWjaNPB3r5fXTk/n/LjdYZS316tjw7jdpELWSZaYMeg3KG2vxP33c+9UvPoLaSmIltcOkU1VUsKld+ed9pKuyovKVOAVzTW3wv97Bd65M+mDOsyaFfSSRYPnnw/UDvJj0yZ2CjCishX40qX6rJJt25iDXbs2XUeqpfTKK3yjwuDlly3KDwD6fpQjRpDdIAH3Dz+xPocWWgXg+/fRo0kJD7JQFSXgUjGkFy5YQGZF794hqgb67vPMM+bZkRs20F9+3XX6srE7dzIbtUsX82t/9BGHTDel+/YFNyI2QNuX08gr93h8bI1Dh3h602p5rxfo1AlHHxuOiy6im8jYoMHjoQjp6Qx9WDI/NG3T/JASWVsk7rp6P0qqnYtVKyWuuIJZotr5khKsnRLqAcOY16WlfCe7dw+fsFReVJYVHlfgKmJ8Flmxgi+57lR34AC1bgwoa23amAS0vv8+uDhHrGbXrhMvL49HeNX0GzyYvp5XXtE7cLOzLTvjGFFYyCz4pUsN8oToRym7d4d7zCfB77T6HL7/SUm62T33GKZf/U5RERN/evRA7upd6NePt5wzJ4TAvnHKyaGSt9Irbjcbs9euTar7jBk0ot95x1oJOp1U/H7XT14es2t8mYzhUFio78sJQF/Uypep6Z/r99/nDd1uTJ/OgGzTpuz+Y0RZGQOS6encfILGU02dh+HvALweCdeZ56FV0j48+STHwf+MUgJeL6QSYv25XLY4gw4H85q6dascJW7nb+VBXIGriPFIdO9uKDAlJc/M4WgENnD4MPNbdAswPz9QJk6LylbgmzYxOPvKK1TQjz7Kjcv42+7dbSsdgMG/Vq18Bly4fpRHjgDnnAOZe8y8uqh62vLJVFpKHfXee4bv+b4jFYnpT/6F1NOOYdDNuy1bhPmv7cO332oyL0MgI4PuktNO83HFw+DXXzkWZXm+At0PPRTRPEtJSzktjfuozjCWkseD7GzOZY0afqNgyhTulZMnB3plaA80KkpL6UXLyGAul5Twc7+DBNH+sF07HJ6yGN26BWLb27ZBN18hfes2DTCHg8una9eKLR0eV+CViRiOxPr1tFR0hvaGDbRmYpBZ8P33zD/R4e+/GRzUIpahbzvXUqNetWox7K/6Boy/+/VXaqwIWsArCnDjtQ6s7jo8fD/Kjz7yp2ZLaVEi2uAy272bc2bcD/btVdC9O/sx/vH1LlY/HD7c/N6a51QUZgNa9Bb2Y9cuMkw6d6Y1npTEQGWoOuBSAr3u9mBH8+7+RsTRwOWiP33lSkOxSJeLhkaLFjorZPz4QNmGzZtZBbB3b+uel0VFTBDasgUoOGyiYI3ron9/YOxYSMnN4rzzgFqJEgf2BX4nFQslHmHh9LIyTuXNN0fd1tQWKlqJV6UCP7ESeWKIUaOEGDKEyQtCCCHcbmZedO8uxCmnlPv6v/8uxI03av4AMHmnZcvgL5cncUeLUEk8iiLEt98K0aSJEOvXC7FwIbNOmjQJzmBwu4V4+mkhPvhAiHPOsX37agvmiwV7W4ji39eIvMVrhXjjDSHOOsv8y5MmCTFggBCCIp92GsXweDTfMWRXNGrEnJ+BA4XIzmZOyJdfCtGqTYJo2gQiPV2IGx68UIgffhCitJSJP7t2WY7Pxo18vIsvtn6m2bOZx9WtmxCLFjGXad06JtG0acPEGjMkCIjPqz0m8nceFwc+/CE4YcsmTj+duUzNmjHZaNMmIRwO3wezZwtx5plCPPig//vFxcz/EUKIFi2EWLGCX7n2Wk67EeedJ0TTpkKk1pHi4EEhtmdXEyUlIQS69FIhsrJEQkIgr6r6eRBNmiaIhQt9z17NN2/adWWW1BMGZ54pxKxZXBt33CFEWVlEPz9hUKUJQlWzb1ggRltZVhaZCTp638KF1nW5I4SUPF7qqp7m5ARHS2NNPLXi3s6dS0utVSu6cIxcOqMMH3xAdodd2XbvprvF14/ykYel2jPXHBs3Mo/dYHKbWuImc/7BB/TxdupE/v7q1Sbfk5Lc0I4dmStu8iyjRrFyrRlcLgY369WDaQVh9fKpqWS6BGXCDxsGNG+O954/joEDLUciIjidZJKkpQEHpv8FWasWHd2aoOYrr+hpjOoS+/ZbulQ++8xiWt1uSJcbubl0q2RnA45Sky/Ons2oruYGJcUSjRqRHTlwYKCyglQ069vAbon0ubt35wkoAup/RDBz+8fq1ayqSoTA/1MXysCBBtfusWM8cpez4p2KrVv54uv06YIFgXbjKirC2abF338zza1xY/p0SkvpGgnVleXQIb6JZhRDI5xOEqBr1AiUfwX9/3XqhLjEM88EWt6YQKfE1Tn3yejxUPGefjop6jqdYLaBZWSwKMnrr+ucqSUlDIqaTfnu3QGXiZENYsSRI2z40KiRxrXzySfczPbtQ1ERNxvLGuARwOPxNbTJLYKrwYXIfnMqiUTbtzMqKSWGDAnECYxTm5FBl8p995kkG2kyJBWFz52+UWLPHoNbfNs2Tq56A9+Y79zJQG/Xrnz0H3/U3F9KWwyUUHC5gB49SDOMwKtnGxXpRokrcBUxUOB79tCHqaN/ffstFVuM8Omnhq7gbjctX+1bE2vrW3u9zZtpstSpw4JZ6huYnY2glixGGQYMYFm+cDD0ozRizBgaakGP6HZTrjBNGfxKXPNcGzdItGvHng5r1jALceRIw7OY+XALC7lh3H03HdrggSuI4gkyV5KTyQuP5MWbO9fHEuw0A0rtJN2YfP8945jlTRX3M1Eefhi4914cPyaxejWQsUmiLG09sHMnHniA+4fV8iou5hRfeqlmKZhZx1LC46HfXaUeejzg/51+Os1sw1gvWkQlPmUKN6177tH0UHU6y52h43ZzCq+7LmZ1zXSwIN+UG3EFriIGI/HEEzQA/di2jZywGGYOGFtaYfPmYF55rK1vKXm+fvBBWsRvvhlMnP7zT31VReNbvmoV38BQJxG1H2XdutRMFs/hdpO7PW2a4YO5c+n3sAGXC3C7JJxlEsOHM+46bqz0L4OdO+nC0O292mcyulSmTKFLZf58vPCCnmzkcjG5s25d6/7S4VA89w+Unl4Tt9VOw7RpgdsrCnDTTax2WB4oCuD9eS6F9M2Rovj6cv7pwsGf0nBn1zJMmhR6eUnJ9ZmSwlK30mnO/VbhcvEe6em0zGWLFkxZNbnJf/9Lb92hQyyfU7cuq0bIMmfQaSoauN2MvXfsGDpzNRpUlBUeV+AqyjkShw4ZSrt6vWSd2HEX2ITHQwtOl5U4fXog2xCIvfV9/Dh50NWrMz3QLLskPx9YsiRYqalQFDaRHD/e/B5uN53PNWvSmjUrf2rAb7+RZ6+zlu6+mwwUm/hzqUTz5hJduviMZ8PYLVpEJa4rExIqX2DTJhy4/n70apEBVyFdKnv2sJzCjTea1xezhfXrucPMm+fvYH/HHYFeCuvWkSUTrmdmKMgjRyFTUuiOM8DhADJXFuKaZvmY9Lk9ysamTUDLFhIDejn0qfEWa9Ph4DgX3HQ3ij78wlLh9ezJaZaS8YnWrYHbOjuwM1uzsZZj/Xs8ZNa0b29rGUaEirDC4wpcRTlH4uWXWavCj+XL9UTZGOCffwJ17wFwhRm537G6X2kpMxsTE4H77w8qdqRDRkZwfrdWjm++oclsds6Poh+lirvvZngBAK3Gs88OkRoZQHEx96LkZOCrLxX9AcmgAEaNYnzWv1GESfiaPKEUH18/E7jnHsz76jCSk+kij3p5qUcBzbGrtJRhgeRktlJVFHZmf/75KO8hJdCjB7yPPBryK61bujDx+S3ITPfYihkW5XkwsK8LzZtr7Jgw69P1wqs4PvA5ZGaa0xNLSriURozwfd8p8e7wMiQnc+/2j3M5FLnHwyV/7bVR9Ri3RKwVuJRxBR5AOUbi+HG+TP7aR8XFdIL6nXSxwXvv8UX1Iy0t2GIq76rweJhNUq8eA3QbNoROkFAUmqpaU1grQ0EBz9NLl+p/d/gweb/l6Ee5axe9Mjt3gs5Z04ajeixaRBbPPff4goiKEsxO0bz8UtIi69ULgUxAC+UgJb1M6Rslnu+6GXVPz8WSd00Ki9nFkSM0rVVtZcDatbRAb7iBHqrGjS2aW4fDt98CF18Md36J5fKRkkW7Vs3Yg32/pCNthfT35bSE0wnp8WLiRC6BLz4P0y5NUVhY5tZbkZ9PV//WrcHujOxszvuvv8LvY8/IYCygfXvaE36ho3wfvF7Gmq6++sRV4mZhmcrE/xsF/tZbhsDijBnW/SjLgc6dDfWxv/xS708p72r46SdGiNq10/PbQq2SQ4eCaRBaOZ57judeFV4vlW2tWszSLM+5H7Rue/QAZQ4x5sePM8BWr55hDH2+U5cLlpZ4cZFEqyskRo0K/p0W6em03P71LyrVA79lchN8883IaW5FRUwPfeqpkPOqtlStXZvjcOutES6D3bt5ylq50s9EMUK9Xv36wNYtCrB+PRybdyI9nQFf00QeQ3XA9HS6VPr2tXBNqOO9fj13WN+fjh2jQt6xQ59w8+uvfObsrR7/7uvxsBxMSgrfSf+Ql0OJP/AAl1bI7NsIEFfgFYUoFXhREU+4fssnJ4daJcZ8pOJiuqH9+m7/fp6frfzOkWDpUpoaTZqQvGy8ZqhVsnq1nvut/W1WFoOe6iazytePsm1bH8G6/CgpAW6qlwnXebVMlaSUpJ3VrcuM86DyuxpFbanEpUR2Nud50SLN54ZxeeghPu5rr2m8RQUF9Nfcey+VpR24XIxM3nef7Tc0K4sbxznnsF6YLSgKaRfDhgEw1ETxQTud553n8+O7XDz9HT2KI0c4rUF9OY3UPilRVMRDV4sWJt4y9TlLS4FTTtFpa0XhgS09nUOoTvOIEUCr5i4U53v8skrJk9ktt9D1pbaii9Ya93p5qmrb1mTtRAnj6xXtaxtX4CrK4Uz64AOfBahe5+OPTVrPlx8LF/IF1f1Ba/lGswo2biS5tm5dbgZmVKxQK8zppCmkfXO1LI0uXWgKHTvGAEGtWuRBxthxl9X9RUytNSSI7HPwIDPqGzdmjNUUhufTKXHDG7JwIZW4v/6W77duN9lHZ55pXgwSUrJ8bseOpkFCHdRGxDfdFDF7yeslE+qUUxiTCVvn44MPuKH65l1R9GEKYxxaCI2nrLCQ66+kxLwvp7E2icYl9dVXtJK//NL3Z+NpplEj0+C/10uvZHo6A7huN9C7hxM97/EGkYOkpGeobl3GBkpKELW2VBSyK9u0KfeBUSej1X9Hcp24AgeiHgmHg4kF/l1+7VqaPxUwqi++6DeUuHLHjdOf6yJZBbt20eeTmMjzd6gUtFCLftcufVk67ffmzCFN5NNPSc8ZMMBWgDFieL2Q9ephcNs1GD06IMbEibztM8+EOQyZPJ/LxeBYkFYAueGtWweumbNHQfv2LIFq0lRIj40baRrqzvcGWZ56iuZeOXhsd9wBXHIJLV1LWyIjg8cFXws79fbqHm6c8qIidr3T/f3gQZrfPq1fUsJHXLfai4IjmuczWT8bN1K+/v0kigoNn3ftShqpBdxuHurS04HszWVo0Vziv/81v93Bgzz8NGmioXBGocgVhYU1W7WKTU5eLA7OcQWuIsqR+OwzFsMBQIvjzTdDszXKgSuv1MQBt2zRL3C7K+DoUR7nq1enb9rOSgyV4LR8uV4pq98rK6PDtGlTUgZ8/SgrBL/+CjRvjo0bJJKTqU86dyaxxawlpylMEnRcThnsTkGAynbffSx3WqcOMOxViRdfhGlafBDUdm/33htcdmDkSOCii8q90e3axb3zgw9o6T75pGE/cLnIlzdQLqXkR2bTvX8/9X0Qtm2j/1Dzo8M5Lqz8y4OtW32HCIv1U1gg0a+PgpYtDcHXZ5/V0IusUeaQ2JXpwPz5PNyptdyM+lkN75x/PmutqS3iolHijz3GjFNtykM0iIUVXpXdeICTXIG73b4KdepLO38+kzkqAEeOkCLtPxLPnKlf8eFmv7iYm0vNmrSE7fTzUmE1LoWF7KRjtFILCsi/OvVUnkYqupts797AqFHweslCOP104I03IowZGo/6oXzioAJITqZPeNEi4PAhiXvvkfZLkyoKz/edOgUyhb75xoR0Hj3efptp+IcOcYgaN9YUqxw6lMR0k7l1Os2nPCuLddBNn2X9en8WKqQEHA543BI7dgBpK6R1X05FgVQkvviCG83Eib7vffklN7hwUBTA6URJCX+SmBjIADW73/HjdIU0bKhpMh6hIpeSTLCWLcu3z5ptMpGiKisRAie5Ap80iQpDSnA7Hj48dlEOA374gewCAFTGY8YENFSoGXS5yPhISWH6uzbhxy6sxiUzU3f8hqJwA6tTh4Wt/ceFCkR+PnDOOcj44yiuuYaeh9q1o4iPqs9o8jK73XolnrNXokMH5iUlJTGh6PvvgY9GR/E2bdjAI1y/fjQhjaUIyoGSErooVAPj559pgb5z6wooibVMN3HVAjeb8qAcBC2cTn9Q01j3u6hQmvflNIz1hg28/gMPAKWL/6aGDAfDvYYPp6tk3TraF1bT8dtvdDH17u1rAxqFEn/qKcpraCMaEeIKPFaIUIF7vVxf8+cjEJX57bcKE2/QIB6HAdBHoO3EazaDisI884suIjG2PC4MK17Z4sUBPlhGBtkMzZrRsgtRTCqWcI3/Em9cPAWJicDo0ZyXzz5jsDei/Vidf4u3QVXiCxZwL3z1FdbyWLCARnOvXj7ucTTn2UWLgDPO4PhFcjKygR9/JLlI9Wvn5RTj6HmN8WTiZFOykZSa9moG/PYbcM01IW5WUMCg5vHjgQv4LiqloS+ny/x9KyzkqaHDpcegnHZ6+NOb2637jpQMWvfowfnYvt06/lFcHChvMHmybywiVOLPPsu6L+GKkoW6RnmUeFyBq4jQmTRzJq09RQH90e+9V2HtrqWkHvYbZxMnBuhoZrO3eDHD5c2bM5BYnhm2skwOH6b/29iP8o8/6FuIFWk2BFatAi47ewc6tzyk8zp4PHz8SZMiuFiY+Xe7+ZgpKT43hGZcnnqKVn9xMSI/yamNiKdNYzJTp07BTTnKASl5cvN3BXrkEeCee/D7EomLL6ayU5slqdPs9ZrrzVmz2IosJPbt47pQL2Bymtm2DVi5QrFUelKSEJWbkIwfR2wPvXydzqDdpqiIS3/UKLo40tPp3bFyqa1cSZ/2rbf6XqsIrHEpyXBp2jT6nL24Ao8FIhgJKUnsnz4dXKgjR0aZ/mYP27fTSlAU0IzRFl3WyrxmDaN3DRrQnxoLqp7VYl6zhq6ZBg1o7uzdy/u1amXSxTm2KCmh5ZOU6MHEs/4D6Qh2PC9bRtFsZdCFsb737SP7r1MnKgIdxVBKjBlDd0qfPhorzs5a2rePPo2PPw78bf16Ui9jWAAtPZ3+74Kp83SFqkpKqHzq1OEBUhVZUcxtkW+/ZemCkHC7afpu2mQ9poqCwgIZ1JfTiKI2nfB4gzkYMCBEdUCLNmrbt9MjtXixnnqYk2P+bE4nQ0QpKZwOrycyJf7SS3TJ6Loa2YR2ucQVeLSIYCQWLOAO7/WCFqcxmSbGmDCB2X0AeI5dvpz/rt5z+3bSImrXZvGsWPaHMlNGmzfTxL3wQhapVj+fMIHHkgoszrBkCU8jd94JHHhyJHldFrjvPlIvQ0L7fCaKYOFCvtRDhwaMSq1PvMwh0bMng3WXXQY/jTHsegrViDg/H3j8cfpl/JXRyofhjx5Fwdmpphz0Vatogd50E7ncqh/ciHHjGP8OibIyDtS6debNqjUnFCn1fTmDrP7Bg+F4YyTuv5/ymYZvQqz1+fN5uFFjqy4XhzM9nQrdbJlu2sT4e8eOvoq9NjdjKdns4uKLAwXGIkG0VnhcgauwORJS0hL75hvQvBs+PHoHmE307EmvCTwemgdqJsHBg+Q0Va/OrI2KcFtolZrDwec97zwexbUdxo8f59tSAQlMAPXdQw/RgJw5E5BehdarsYmFBjk5FGnrVosvGF9OzbN6PHwhU1LMS7mrSvyPP4CXXuR1tm/n95csQWhXisPBuESoRsSKEnCp6FI/o4CUcN52F76rPhjr1gV9BIDP8tZbtAFGjzZvHv/uu6QjWkJb97usjGshN1f/HZMxUftyrlplYHWMGQM88ACk5KEzJYWnAL9chlR9M7z9NtmSpaWB6XY66SrZtIn3M4rk8XAM6tTxHYSc9pX48OE87UQayojWCvd64wqcsKnAly3jBLlcIPVgzpwKFcvr5ULavRvURFOnMtLz6qtU3IMGxbxglg7q6p43jxZ3167016qbljpmQ4aQSVEB+PlnUsoHDNDQ1pcsId0gzJy9845FbRAzy8r3rPv3M57YoUNoA9jtpmW+aBH815o/n5uMpS/V4yEbqHt3e/TKdevoeH7vvehdKpMmARddhG8+Lsa//60n3BiRmckA8FVX0VLV4qWXNIlkZtC2tpcyENRUfSRh3rH8fHrm0tN9eWWLFlEQH9atY4z8wQd9l/R6w46JovC0dt99wdNRWsr6Kps30/4wipadzaFv04Zy2bXG33iDr4qR4h8OWgVuVylXZSVC4CRU4F270vWL3bs5UxXZzhqkwzVr5vuPH36g0zIpic5IS9Myhti5M9CPctasAPdbO16bNpFfHuON5NAhUoEbNTIxQvv1o0kYBg4Hj7Xz5mn+aPWGSIlFCyVSU6mswsWkc3MZBMzP1zMY3nmHSVelpdCPk5S0utu3j2zd5OXRpXLffZGfz/fuJTk6LQ0eD2+tbQZhBq+XFmjt2no+/eOPQ5ftqIOUAbNdO74HDpB/6HbbtmJzcniw2vt3DmT16rrfFRSQ+nfFFcDmDfbaqBUVkSmi1ocxilFUxBPAli3BMRNF4elXXROlJfa061tvcd3aLX1jlCuuwCOFjbPI6tUMjJUWKzzerSpHmVCbGDkS+M+jXpZ3TUzkkdp2emE54HTy/GnoR4ktWwLOSPVFvf76EG925JCSRmNyskkGIcA/nHuubf/w7Nk01svKYKm8PR5SA+vUkYHek2EwfTqpnao7RVXiikLF3q+f72+qyTtsGP3e0RTTUBRGGjt14gZq9zfXX09fkA9//UXGRLgsfa+X1mmXLvTtr1rFyguffWbxAy0f2zi+W7cGm/Nh4HQCmZslvGedg+MZesNASrJqGtRxYfI39jTY1q0Maqo9R8xe9bw8nkC2bQsOrB44wDlt1oyNp+xo2HffZcKQWSjACpG6UeIKXIWNkbjnHlKTsGoVFXhF57BKiWGt56Og4WUMcb/+emTnq2ih7UepTdSRkp8VFATkmDmTskXZEdyI3buZ19K8eYhGvV9/zYibTUjJ8iMjR5iP3YED1HPt20vk7LU3tlIyfqrWW3K7OQSqEi8sZJ7AmDG+L48b529EXC6oLpURI8K7VD78kEVbNN+Tkq6o118P/VO1qJWUjPfUqcPg8ddfW/xAS+czcxutXRuZOar+9Iq2yPpkCTIygg8t61aUoVkTBQ89ZK/w59y5NAp277Z+haRkLtKmTVS8Whe7lCxU1qABQ0/5eeHfxZEjOe12k2sjtcLjClxFmJHIyOAxquCQg+fKKBZjRFi5Et4OnbAnoRGKPpvKc5xKEagoBW7sR2l0Kx09Gmj0KCV9BA0bwrbJGgJeL3VcrVo0VEPGpq67LuKSBVsyJZJqyyCa1+LFnNcXX/Sdxm1uylu3UhFqv25U4tu2MfCW8dp0ur20m2F5cPw466iHcqls3mxaqEp1UTRqpGk+YgIp9d6JAweo/FJTTao6ShmYMOPa1EYO09KCg5rh0LcvlHEfsy9nGv3K/jF3OJCfzyXbqpVp7+sgvPkmv6sGNa2gKHThpafzntq98tgxzn2jRtwUwr2P77/PGM727eHlg+ZycQUeCcKMRP/+1NuYM8ekk24MsWULoy7Jych6bCw6XuVk0sz48RXHGbLqR2lUZio1TH0pX39dk98fPTIz6Ztt185GR7Vduxi8jaTWuk/e554LxFk9HjIGkpMN/nGbCvyTT5i9Z4RRiae98zvyE2ri0Ky02J7YFIV8++uuC9aoLhe1lJ/TGLzvjxrF+EKo5WQ08Nu2pQKsX99QV11b99toQmqfOT+fx6pQlS+NePddOt9BCzwjg67M47kBBoqUgWoR4fZ1RWGlxj597L1OHg/3yPR02jfauPPChTyV9OkDHDkc2rAaPZqNROyErewqcCnjCjyAECORnU0D6njmIb71se50CnCVaLsBFBbi5Zd9NOHff2ddkYqwvpcts+5HaTQvf/01oJ1276Yi3bYt6lu7XAz4JSbSSrFV8+qNN4CBA+3fRDNm+fl8iWbPpnfoX/8yoXvZULIuFynaVkkbfiW+dh2QmIjv+8xHu3aAo1TG3u22Zg3dSSNHBjTuK6/wATV8a+OyKStjIDBU0qcx7njJJdzDjx/nFDRo4OtspCbTmLF6jH/bv59BTbsFzmbN4rNokJsL/JPmxZYNTt1Jbc0aev4efjj0HlFYyDjARx/Zf51cLlri6em0p9RpLCpiJm69esB3U2Wg5Z4Jxozh4dbYOtYMdpS4cX+sCpwUCvzRR4EXnpdM2LFVLzQC5OXx/F69Oql4mso4V10F/L7Y134sNze2yvvwYZqjofpRav+2Zw9fPFUb3H23jSwZa6xZQyPxhhvsHy2hKORnqW6ccDDRXM89xzpbzz5rQWCwYZYtX87rhIJn207I1FTIiV9D8UrceSeLNElvBZyijh2jQ/7++8m5rBUoVBVqz587l1a1VfjC2F4tNVXvdlm8GLi4sYI+d5eRVWq0vq1unJWlaVoZBllZvLEBXqcHu7a5kZYGXV/OvDyeLFq3Du1Sycqi4fDHH5FNh8NBgy4jQ/9K/u2rvXX77cDePdbPPm4cHyecNy2uwCOFhQLfv590qiNLNtHKiVVpVIeDzI1atejLNEQ5cnN95WMzdgQq7cTixbfbj9J4v7//hr8m6JIlNCWiaDhQWsqaIrVrB7qp24ZKwrfzI4P8Xi8PNsnJtNK++MLe78zw+uvmyT1+HD4MXHQRvO+NpCWuSBTkS7RowRe4Qt46ReHFzzyTrCEfwimAO+4IKgnuh7G92tlnB5dPLT7uwrNPepBSR2LSpIDrKOQzKgpNeTtxJLebO64xSc3HOS8tZcBR25dTSua7paQA331nfek5c7ge9uyJ/NUqLqY7JDMzcN+yMh7QU1KAzz6VULzmFx0/nt8JVxhUXYqhAq5xBQ6EdCY99xwwZLCbvjg7UZJw8HhIB6tfnxwtY2qcDzNmkDmBn3/md2KhvNV+lFdeGb7eqnbllJSQiK0ofHFatDB3AIfBn3/yGH777VGSMQYO9AUiwsCw6g8eZIHEa6+FPxhWt67F3hVGgR8/TjaSpQu+qIhj/PTTgGTFQlWJb82SqFMHWPpHBb15gwfzSNO5MzBqFKQrPEd6yxYG4w4eDP5M217N62U7NR0TREo/9zttBTeoW24Bdu+08WxOp3mmphkuvTSYOmsoWm7Wl3P1aq63QYOsXSqvv87pisQtr0V+PpX41q2Bei0bNrAC5PXXA1uzzNfThAlk9oQqoRTOCo8rcBUWI3H0KH3fByct1lSaL8c9fv6Zi7Ft2xANGolHHwVGv1NKx1m4kHk4HDvG1PdatUjktRP50CqyrVt5ZpQSGDuWmjCClVNQQN2SksJcpKgepaSEbia1sIUducHwQd263Ii1QbkBA+i7NP19iGf76acQlHeLRsRaJT53jkT9+qwpHlNXyvz5PJvn5gLHjkE+MojRNRvVlV5+2bykjJaJkp/P/hw6kf0Pxj86ncAbrylIqi0xbpyNZWY3qHnXXcH8RZNcf7O+nHl53HDbtDEPICoKcNtt5LhHqwyl5LBnZPAg7XBw3N5/n0p65AjJ8rkGfPEFPw8VuI9b4HZgMRKvvQY8fl8ez0Xl6Z+0bBmV3sUXM/sjzKhLScshc+o6Kv1oX3SVqRBNP0rVF6y6TPLz+ftatXx5xfYwdy6DXX37Rs4g02HKFDIuQkGz2r1eGuvJyebVDg4e5GemrliL+ZGShAhtC1Ddb3r3tmxErFXib75JC81REiN/eG4ulbevRryUPnk+/5xjFiZuk59Pt5JZXpr6KHv3cup1ULnfWlNRUbBpE5+vfXsbh9Z9+2gqh9L2r75Kv5sKLW3RBP6+nOsCKQtjx9KAMGuzWVDA5x87tnzToSj0nqWn0zvkcjHGf+ONZFitWxt88YkTuQ5N+jcDCG2FR1gBu0Jwwirw/HxO+P6RU/TNEyLBpk1At258uT77zHa98Oxs/kT5djKjRtGsqg0bWH3/8suja+agjkduboABM2gQQ/w2cOQI9VnDhuGbsNtC584hskigU96HDvHr11wT2s36/vvMiQkaXou3Yvt2xn2DdI2UTBkN04hYVeJeD4OaDw6QDGqWB2pAedAg/3/q8M8/HAw1ZdQCkybxyG98NpWJsnkze2zq7mu0gg2njg8/ZKzj7bfD5ByFC2pOmUIzWYW2aFYIHD5Mz4val3P1atpQjz4anBS0ZUt0QU0zeDw8AWzcyP3J5eJempoKvDJUko2kwbff0say8KZaWuFVXYkQOIEV+IgRwBO3ZrOoge1Ghz7s2UPieM2a5MlFwlkGj1aP9MhlsDHSoKnaMLdmTUanog26quOxYQM3kbVrucLDWPFSst5WnTrAf/4TI8ZlTg5T562Uo2aF//EHKV3PPBM+UdHppEfrp58MH1i8GRMmWOwhI0ZQM9g44ahKPO+4xKWXAp98XE5XyuTJJCMXF1tfRnWh9e1rWa/G66UCNzbBUJkoaWlMqfdD5X6rN7UYs+xs7h9XXBHi4KYoXF9W1Z/WruUzaoWyWdjL4+HyTUvjox87Ro9M27bBLpWff+a6jbQIlRVcLp5c0tNpVOzdy6Bxi+YSy5fpx2ryZG52ZmMUV+DhYFDgJSVA/boKcp7+0OK8bIHcXGqO6tX5zyh9Br17A/OfX0oHrt0ZkpKWSkoKfbDlKSyljofHQ6JwaSlJ02PGhPzZ3r3M62na1D7Tzxbefde60qFvdXu9TDJJSiLP2y4WLCCxReeGNXlj3G4OaxBv/OuvaVpFUPBCVeKZmxnUXLY0yjdR9WusWBGePKMoPAVed51lr9JVq+hK0BI+VCbKwoVcAn6UlQW1TQt166++oqvghRcsXN5q+Vl/uUkNSkqAU04JGFKGNmp2UFQEf1/OwkIu5dTU4Jy84cOp3KMNapqhrIzLQy1f+/335DAM+Y9EYUFg3L77jkr8n3+Cr2E2xHEFrsLgTBo3Dnju2hXkItkZoZISnhNr1qTlXY4t3OsF6qYoyH1zvP0645s3B/pR/v571Pf2Q10tOTl8q6dMYXESiyO4orC4UK1aLK8a0wKNakDALOjrk/PwYbqer746fIzTDN2786BlvK4WK1aYtPmcN48PbeXADAFVif88S6J+PYl9eyN0pSgKGSdDh0bGMFVdKh9+aDqfgwczqKm9jcfDkje33KL5Y1mZ3vq2gf37mWR8ySUWe0iooGbDhoGCWCZt1OxASn1fzr//pmH/2GOBNasoNEL69Yu9f7mkhD7xzEyeCvr3BxpfKLHgl8DkTZvGJWUk3cQVeChoRsLpBC5tWIK9D74evtqd203NlZpKX3cM2qqtXQvc2Ggn5NffhJ8dYz/KGLXg8q+WtDT6J+vVs6yAt3UrC+S1aWPtwysX0tJYDcj4NvlkXLqU1szTT0f/+Nu30/Lx77smb8vbbxtS7tPSuGGXI7FLVeKvvSZxzdUSZY4I3saPPgJatYJ0uiJ/iXNzGcvo1y+IP3jwIGmFavBRba82cSJrjgDgQKvKP0ItIiXj+PXq0W0f1IPEKqh5882kMAH6zSMK+PtyruRz9uhBZq2aVJyfz01m3LiobxESBQW8b1YW6cIXXgj07yeRe5TPNH06vZXG3ijGoY4rcBWakZg4EXit5U8cWSuoq/Dii8kuUVucxQCjRgHjb5kbmqctJU0ibT/KWEJRaC4sXMhsyx49gr7idnPPSEzkPyuonzPfcmPbMSnh9Ui8/TZdJrNmlf82Q4dqFBSg2zAKChgn9LvgMzN541BrxCY8HtaY7n67xMMDlZCp2H74ClXJTRnRv8Dqsem663z1UQP46CP6atV9zOWiy+Ghh3xfcDj0LKUokJvLzNSGDU1YQtqSxSqefpq0IjV4GgMUFtLoWL+eOXqpqYE9IjOTa9swNDGDlMwp2LyZ9x88GKhfT2La99L/eicm6vkHxuGu6m48wAmmwD0eoNNF+7Gjz2vWXVSXLOF2feml5aP4WeD2f5dh/YAx1vffvp0JQI0bx6QKoCkUhebInDmm3Ot162hxd+pUwT0lHA5audpceylx5LBEly4sNRBJreVQKCqiMvF7oDQKfPZsNsQBwFPZ+ecznS5G8HiAw4ckmjWT+PSTMOd2l4t54h9+GJult3IlXSqjR/v9yk4n/cBz5wZu+eabDOvA6w1YwDHwMfz6Ky3Q++7TVJEwC2p+/jkL0ChKzEoXA3wMtS/nzJl0qfznP1x6P/3EoGas7SMtFIV+8U2baBNeeilw5x0S+/bRMElM1LfA1Q55VReyAk4wBT7te4lRjcZDLjOxqNVu4fXrMyITq5R6DRwOoMO5G1D49Y/mHw4bRoX6+usV2wnI66Um69KFUR2NCEOH0kf36aeVwEH94Qd95ExK/LmUiTBPPhnT9xgA2TNXXOGbWs3DPfmkjyN9/DhjASH7ikUHrxfYsF6iTrKC5X+GGNhXXwWuv7789EMtjh6led2vnz/usnAhx6KsjKer557z1RB3OgPUlBgZL0VFJE6lpjLcIiWCg5rLl5MSGwEDJRKofTkXLaKvv1072g2vvkp7LVIiWqTwegPNi4YMAVJTJL74XPqVuHoS0FrhcQWuQlGgeCV6Nd2ATf3f149MdjZpIbVq0b9RgYpzyRJgeOOpweXKtP0o7VaGLw+OHqXJef75/oDS8uWMkd56a8VaJDrccgstLwCKV+KdtyWSkkxofzGCorAb+SefwP+m7NrFhEZPYSkzUx5+uMLOrV4vMP0HifPre7F/n8k90tKAxETI3THiuRlvPn48uYTLlkFKupRGjaLOHDQI+OB9yfVQQc7Xv/6iBdqtm8/4zstjpNHh4Jo844xA1/sKQn4+lehzzwUyh7t29RUiqwR3hdvNQ960adxAb7xBYsIEPUddtS3+pxW4oiiYMmUKOnTogIb16+Pyps/hvzVehWeLzydw+DDPUtWr0w/sL35cgXKcOwKv1uiLqd9+C0VRmIWi7UdZgSvIL0f79uianIwDZ5yBZUOGID9fweOP8yg5dWrFLmLtWLStWxel1arhhwkTcOigFzffLNGuXcXvX2vXAikpEuM/mY4O7dsjMfF5NL3oXexr3Rry9tsrVHkAfCmHDpX41zVeTJz4HTp06IAGDRrgpmuvRWFKCrwTzYjoMURaGlMHP/oIO7I8aNRIYvTon5CU9Btq13gO119zDaZMmsT1WQEoK6PVm5TkO+XtyYGyahWmTpqE/FNPxfUpKejUvj2mTJlSYTKoBKzPP6db7aGH6LH8+OPA+mzQoAE6dOhQYXI4nfRiPvUUkFRbYuCDEomJwOLFCiZNogz16zesUBnsoEoUuKIo6NmzJ4QQqFatGhKEwM3iA/QX1+CBHj0ghw8ns+Phh8vfAisCOTqIT3GTaI3ThcC0li0ha9QgpyvCRKDyyHGaEPhCCCwTAkJ0xdlnH0Xv3jKiLPzyylCtWjU8LwSmCQEhOuKss3IxZIiMucvESo7GjRdDiE+QIE6FEJPxlTgPy4VAn7vuqpQXpaxMQWrKWiSIz5CQUA1CCHwmBH4UAj3vvbfiZTh6FBg4ELJfP7Rp8j2EmAghfsEZ4m6cKgSEEOjZs2eFyrFhA10XnTpJPNKhH5oLgeVC4E4hcEpCQqXIoNbb6tgRaNZM4tRTSyBEB1SrVs2/TitajtJSxgmubCtxycUKTj21FEL8G0JUgxDVKkWGUKgSBT5lyhQI30IUQqC26Ih3xGC8JBJwRAjsvfLK2FQejEiORAwWH6CnOA1bhcASITA3ho2C7crRWgjsFEmoKaZAiBwIcRumTp1aqTIIIbBJJOBi8TKEyIUQd1eKDAE5kiHEYQjRB2+LLsgQAjV9clXeWNSCEFkQYhBuEQIHhUBSJcoArxf/9O+P+eJcnCm2IEGswxniJt0cVbQcbjfQu/c6VBOH0Vb0x3ciAS9r7l9ZY5GbC3TpkgUhCiBEPoSor5OhMuTIzwfuvDPdd38HhLjNp8QrdyyMqBIF3qFDYBdNEAITxK04JM7Cn0LgXwkJ6NixY6XLcZW4Dv+IS3BACPQSAtWqSI4XRC9UF4cgxKcQojqqVatWKXJoZbhcJOF6sQBCrIEQF1WaDHo5nsAQ8Rr2irNQ3/eCVP5YtESS2IwD4jTcWskyqHK0T0jAq6IXzhTHcJr4l19ZVOZYJCQ0wRliIcaInvhe1Kx0GQCgffuOEOIuCFEEIY5CiBpVMhZCXAYhNkAIL4QYWiVjoUU1UQXYs2ePkFIKIYRIFtXF9SJdDBIecb0QIg0Qe/bsqXQ5eojjYoeAaCaEmC6EkFUgx5niTLFMPCQSRG8hxONCiCIhpawUObRjcaa4RRSJnUKIDkKInZUmg1aOU8Wnopv4Q9ws6ooDvs8qfyw2i6vEIDFTtBMLKlkGVY4VgPhczBA1RK6oKc7yf1aZYwFsFy7RVfwmCoRHXFLpMgghxN69u4UQs4QQzYUQihDi3kqXg/fIEEK0FkKME0I8VukyGFElCrxRo0aiWjXe+qgoEs3EATFPeClQtWqiUaNGlS7HULFZ9BXZotj3WVXI4RROsVp0EYVimf+zypJDOxarxVSxXjwhhHBVqgxaObxCEV3F32Kr2OX/rCrGYoFIE0+LtEqXQSvHMQFxRFwqcsXvlS5HYCwgfhGLxQNiTaXLoJdjvxCirhDiq0qXQ7suhHhWCNGw0mUwokoU+ODBg/3WnhFSSjF48OC4HJUsx4kgw4kix4kgw4kix4kgw4kix4kgQxAq3WmDYMaD9p+9evWqtGhuXI4TS4YTRY4TQYYTRY4TQYYTRY4TQQYjqpQHPnXqVHTs2BHnn38+OnbsiKlTp1b6IMTlOLFkOFHkOBFkOFHkOBFkOFHkOBFk0CIBACrD0o8jjjjiiCO2qBIfeBxxxBFHHOVHXIHHEUcccZykiCvwOOKII46TFHEFHkccccRxkiKuwOOII444TlLEFXgcccQRx0mKuAKPI4444jhJEVfgccQRRxwnKeIKPI444ojjJEVcgccRHVJVgwAAAGxJREFURxxxnKSIK/A44ogjjpMUcQUeRxxxxHGSIq7A44gjjjhOUsQVeBxxxBHHSYq4Ao8jjjjiOEkRV+BxxBFHHCcp4go8jjjiiOMkRVyBxxFHHHGcpIgr8DjiiCOOkxRxBR5HHHHEcZLi/wAEYhtnySKdEwAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 450x450 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot(scale=1.5)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "006462be",
"metadata": {},
"outputs": [],
"source": [
"model.auto_swap()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "fab579a4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 450x450 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot(scale=1.5)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "7ffe525c",
"metadata": {},
"outputs": [],
"source": [
"model.auto_swap()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "012fa5c8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 450x450 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot(scale=1.5)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "27ffab62",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "6a500890-9758-4ab3-9407-03e59aa13cf7",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.16"
}
},
"nbformat": 4,
"nbformat_minor": 5
}