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degree: 0\n", + "Error: 0.3214960170351912\n", + "Bias^2: 0.3123314713548606\n", + "Var: 0.009164545680330616\n", + "0.3214960170351912 >= 0.3123314713548606 + 0.009164545680330616 = 0.3214960170351912\n", + "Polynomial degree: 1\n", + "Error: 0.08426840630693411\n", + "Bias^2: 0.07968918676726029\n", + "Var: 0.004579219539673836\n", + "0.08426840630693411 >= 0.07968918676726029 + 0.004579219539673836 = 0.08426840630693413\n", + "Polynomial degree: 2\n", + "Error: 0.10398646080125035\n", + "Bias^2: 0.10077114273548984\n", + "Var: 0.003215318065760509\n", + "0.10398646080125035 >= 0.10077114273548984 + 0.003215318065760509 = 0.10398646080125035\n", + "Polynomial degree: 3\n", + "Error: 0.06547790180152357\n", + "Bias^2: 0.06208238634231953\n", + "Var: 0.0033955154592040944\n", + "0.06547790180152357 >= 0.06208238634231953 + 0.0033955154592040944 = 0.06547790180152363\n", + "Polynomial degree: 4\n", + "Error: 0.06844519414009438\n", + "Bias^2: 0.06453579006728315\n", + "Var: 0.003909404072811231\n", + "0.06844519414009438 >= 0.06453579006728315 + 0.003909404072811231 = 0.06844519414009438\n", + "Polynomial degree: 5\n", + "Error: 0.05227921801205692\n", + "Bias^2: 0.04818727730430296\n", + "Var: 0.0040919407077539514\n", + "0.05227921801205692 >= 0.04818727730430296 + 0.0040919407077539514 = 0.05227921801205691\n", + "Polynomial degree: 6\n", + "Error: 0.03781367141738885\n", + "Bias^2: 0.033657685071527485\n", + "Var: 0.004155986345861374\n", + "0.03781367141738885 >= 0.033657685071527485 + 0.004155986345861374 = 0.03781367141738886\n", + "Polynomial degree: 7\n", + "Error: 0.027609773491022314\n", + "Bias^2: 0.02299949826036602\n", + "Var: 0.004610275230656294\n", + "0.027609773491022314 >= 0.02299949826036602 + 0.004610275230656294 = 0.027609773491022314\n", + "Polynomial degree: 8\n", + "Error: 0.017355848195591845\n", + "Bias^2: 0.01033172130665515\n", + "Var: 0.007024126888936694\n", + "0.017355848195591845 >= 0.01033172130665515 + 0.007024126888936694 = 0.01735584819559184\n", + "Polynomial degree: 9\n", + "Error: 0.026605727637176654\n", + "Bias^2: 0.010018312644139347\n", + "Var: 0.016587414993037307\n", + "0.026605727637176654 >= 0.010018312644139347 + 0.016587414993037307 = 0.026605727637176654\n", + "Polynomial degree: 10\n", + "Error: 0.02159270458799264\n", + "Bias^2: 0.010516485576652856\n", + "Var: 0.011076219011339788\n", + "0.02159270458799264 >= 0.010516485576652856 + 0.011076219011339788 = 0.021592704587992645\n", + "Polynomial degree: 11\n", + "Error: 0.07160048164248561\n", + "Bias^2: 0.014436800088969727\n", + "Var: 0.05716368155351588\n", + "0.07160048164248561 >= 0.014436800088969727 + 0.05716368155351588 = 0.07160048164248561\n", + "Polynomial degree: 12\n", + "Error: 0.11547777218940905\n", + "Bias^2: 0.016285782696075054\n", + "Var: 0.099191989493334\n", + "0.11547777218940905 >= 0.016285782696075054 + 0.099191989493334 = 0.11547777218940906\n", + "Polynomial degree: 13\n", + "Error: 0.22842468702288576\n", + "Bias^2: 0.01975416527179247\n", + "Var: 0.20867052175109335\n", + "0.22842468702288576 >= 0.01975416527179247 + 0.20867052175109335 = 0.22842468702288582\n" + ] + }, + { + "data": { + "image/png": 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\n", 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      " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -418,10 +516,46 @@ { "cell_type": "code", "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "============================\n", + "Underfitting vs. Overfitting\n", + "============================\n", + "\n", + "This example demonstrates the problems of underfitting and overfitting and\n", + "how we can use linear regression with polynomial features to approximate\n", + "nonlinear functions. The plot shows the function that we want to approximate,\n", + "which is a part of the cosine function. In addition, the samples from the\n", + "real function and the approximations of different models are displayed. The\n", + "models have polynomial features of different degrees. We can see that a\n", + "linear function (polynomial with degree 1) is not sufficient to fit the\n", + "training samples. This is called **underfitting**. A polynomial of degree 4\n", + "approximates the true function almost perfectly. However, for higher degrees\n", + "the model will **overfit** the training data, i.e. it learns the noise of the\n", + "training data.\n", + "We evaluate quantitatively **overfitting** / **underfitting** by using\n", + "cross-validation. We calculate the mean squared error (MSE) on the validation\n", + "set, the higher, the less likely the model generalizes correctly from the\n", + "training data.\n", + "\n" + ] + }, + { + "data": { + "image/png": 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1wCwRaUYNxRMROQPromxYiTvNoPHEV/w6bnjhQazEvwVW/9d/AXPtGwLF7CRkIdYNENcs8WXGDQARmeX2+n3AfW7rzrL3Ue5vQawBJf6N1VctDDgHeMuOj1B6PFntdtxrAPcaqVfcVi1u6iUnDrLxWmknyhizwhiz327G9xXWDZgryzivFV3LfARststeH/iV47VyrYDhJc5rP6wbrifUsGElNte4reuqtXHFxJJx2nVeO2D1A7oe67x2Bu4REffmXTGcnEDWHFNLnV+q+4F1N3CQ/f/5WDULrk5ppXZSttftYi9vRCU7rAGvYX3IpT3WlbHNnVhtJXfbjxysOxMrylj/A+Axt+cDgd32/+Pt8sa6Lb8cWGv//3WsrNfTc1jmsUqs9yglOmFhBaXcss4d5XR0xeq4N6ES5czC6pDrOocGq3PqNWWsH46VzH0AOCrYdx8g0/5/0/LeUynbtgfygBi31xaUfG/lfSex2oM+WFu/G32U+VkGZTwpZft+wEG35wK8g9WxN7LEutUaTyo4Vq3FE7ftRtufu5SzTrm/ceAl4PkS26Rh3fio9niC1WRsL3BJGfvQeFKLj0CJGyW2P+nveSnrzALuKPFaFmUMygC8Bbxg/9/juEEZHeftc5gPnOL22nscH4jjbuCTEtt8it2hG7gfeLOc406mlI7zWDcV9gH1q/CdeJUyOrtTwbUMJ3dSTwFy7P//vbz3VOI4N5T1GWMNiDDY7fnDwDT7/8OAlSXWnwS85PZ8NDDP2/NT6fNZWweq9oKfGBzaun48JYMDVi1DF/v1GKw2f7/YyyoVHLwsZz2sUbhcj2eAj7FHbCll/QvsL28nrFqSuZw44tZvWHcfQrCqND8BptrLegLbsS68xf6hX4TbH71KHisE6y7KE1h3iiLczxVW+8+zytj3AMq+qEgHWlbiHCaWOIcGq+o4spR1Q7FqUD4t7XO1y9XSPj8tsC6Y3nFb/hlWv5/6WDWNbYFzyinbEvszjQCuwG00Hnt5hP05GKzO+xEltt8M9Pb176muP4I4nox2+763wmoSNdNt+Wv2dzi6lG2rO56UeSx7ea3EE7ftvsG6q1nRemX+xrGaXG3GGgVJsJr7HAE62MurLZ7Y37s9wIhyttd4UouPQIkbbmUq8+95iXUfxGrC2Nj+3l6HdXOkAdbf45FYTYecWKP6HQYus7f1OG5Q/uhe07CaHkVhDRDhPrrXOVjJRIr9vDtW86gh9vMewOZyzsVkSk9SBlLOSH9l7GuYfS4cWH3OsoEBZaxb7rUM1vXIf7BG94vEqhFZZC9rgRVfz7fPewRWXEwq5Tg3UHaS8iTW34E4rJHZdnF8dK+2WInSQPuza4vVn/dmt+3fAO6ptd9YbR2o2gvuFhxKvF4yOPwHa1jGHKyMdRbQ0V6WbK9b8m7EXTVY7odwGzIU6wIiB7c/slhD6O7BuivzDvZQf/ayFKw7NgfsH+lH2MPu2csvwBpNKsv+8n1EGRcVHhzrIY6P3OF6POS2/M/Aq2XsdwClXFRgBeq1VTyHhhOH7XsNeyhOrOBlsC4U3D/Ts93e7057+Xb7++F+5zIW607IDqyguBIYWU5Zku3PIxer/e6gUsp6wsNtWS9K3LXQh28ewRpPsObN2IF1EbED6w9MI3tZK7u8eSXKO9ptf9USTzw8Vq3FE6whTAsoZShz93ji9rmW+hvH+kP+MLAN6+JkA3Cd2/Jqiyf2+SyijDvnGk9q/xFIcYNy/p5zctyIwEqkdtm/5RUcv5BNwLrIzbKXrcHtItZex6O4QflJSkOsm42H7d/XNSWW34Z1AZ2NdfP2ryWWLwX6lLHvyZSepDxDJYfXxeq3cdA+F6tK/r5xu/4oZduS1zKtsW6y7gcysZrnutcm9bHPfab9PfqSUm7QUH6SEo41sMEhrFh9V4nlV2MNB5+NFbeewm6RYn8vdgCNa+s3JvaBlao0sUbrWAmcZ4zZ5eE292C1vb2nRgsXAERkBlYH6BoZ6lCpQKLxpGo0nih1nIgMAW41xpSc5LG8bdZj9fVaX3MlC1wi8hegRW3GW01SVK0SkauBNca3nQKVUkFA44lSqjqISBhWrYJXs9SrmqFJilJKKaWUUsqvBMMQxEoppZRSSqkgokmKUkoppZRSyq+E1MRO4+PjTXJyck3sWinlpeXLl+8zxiT4uhyVpfFEKf8TDPEkfd9hCooM7RKjy99IKVVjyoslNZKkJCcns2zZsprYtVLKSyKy1ddl8IbGE6X8TzDEkxvf+Zl9Ofl88Zd+Pi6VUnVXebFEm3sppZRSqs4REQw6eJBS/kqTFKWUUkrVOQLoAKdK+S9NUpRSSilV54hokqKUP6uRPimqbjl27Bg7duwgLy/P10VRQEREBElJSYSGhvq6KEpVisYS/xPc8US0sVcQ03jiX7yJJZqkqCrbsWMHMTExJCcnIyK+Lk6dZoxh//797Nixg9atW/u6OEpVisYS/xLs8cSqSdE0JVhpPPEf3sYSbe6lqiwvL49GjRppEPADIkKjRo30zpEKSBpL/EuwxxP9lgU3jSf+w9tYokmKqhYaBPyHfhYqkOn3178E8+ehfVKCXzB/fwONN5+FJikqKIgI1113XfHzgoICEhISuPjiiyu1n+TkZPbt21fldZRSgUljSd0h6BDEqmZpPKkaTVJUUIiKimLt2rXk5uYC8O2339K8eXMfl0opFWg0ltQdWpOiaprGk6rRJEUFjaFDh/Lll18CkJqayqhRo4qXZWZmcvnll9OtWzfOOOMMVq9eDcD+/fsZMmQI3bt3Z/z48Sd0opwyZQq9e/cmJSWF8ePHU1hYWLtvSCnlExpL6gYRtB5F1TiNJ97TJEUFjZEjRzJt2jTy8vJYvXo1ffr0KV724IMP0r17d1avXs3jjz/O9ddfD8C//vUv+vXrx8qVK7n00kvZtm0bABs2bGD69OksWrSItLQ0nE4nU6dO9cn7UkrVLo0ldYMgOrqXqnEaT7ynQxCravWvL9ax/o9D1brPTs3q8+AlnStcr1u3bqSnp5OamsqFF154wrKFCxcyY8YMAAYOHMj+/fs5ePAgCxYsYObMmQBcdNFFxMXFAfDdd9+xfPlyevXqBUBubi6JiYnV+baUUuXQWKJqnNak1BkaTwKTJikqqFx66aXcfffdzJ8/n/379xe/XtrdMtdIE6WNOGGMYcyYMTzxxBM1V1illN/SWBL8BDRLUbVC44l3NElR1cqTuwo16aabbiI2NpauXbsyf/784tf79+/P1KlTeeCBB5g/fz7x8fHUr1+/+PX777+f2bNnc+DAAQDOO+88LrvsMiZOnEhiYiKZmZlkZ2fTqlUrH70zpeoWjSWqponojPN1hcaTwKRJigoqSUlJ3HHHHSe9/tBDD3HjjTfSrVs36tWrx7vvvgtY7UFHjRpFjx49OOecc2jZsiUAnTp14tFHH2XIkCEUFRURGhrKyy+/HLSBQCl1Io0lwU/QGedV7dB44h2piR9oz549zbJly6p9v8o/bdiwgY4dO/q6GMpNaZ+JiCw3xvT0UZG8pvGk7tBY4p+CNZ7cMW0laduz+P5v5/q4VKomaDzxP5WNJTq6l1JKKaXqHKsmxdelUEqVRZMUpZRSStU5Vp8UzVKU8leapCillFKqztGaFKX8myYpSimllKp7RJMUpfyZJilKKaWUqnOEk+ehUEr5D01SlFJKKVXniOgQxEr5M01SVMDbv38/KSkppKSk0KRJE5o3b178PD8/v1qO8cMPP9C5c2dSUlLIzc2tln0CPP744yc8P+uss6pt30qpytFYUrcIOuG8qjkaT6pOkxQV8Bo1akRaWhppaWlMmDCBiRMnFj8PCwujoKCgyseYOnUqd999N2lpaURGRlZDqS0lA8HixYurbd9KqcrRWFK3iPZJUTVI40nVaZKigtINN9zAXXfdxbnnnsu9997LQw89xDPPPFO8vEuXLqSnpwMwZcoUevfuTUpKCuPHj6ewsPCEfb311lt8+OGHPPzww4wePZr58+dz8cUXFy+/7bbbmDx5MgDJyck8+OCD9OjRg65du7Jx40YAcnJyuPHGG+natSvdunVjxowZ3HfffeTm5pKSksLo0aMBiI6OBqwmCH/729/o0qULXbt2Zfr06QDMnz+fAQMGMGzYMDp06MDo0aO1uYJSNUhjSfASdAhiVbs0nlSOJikqaG3evJk5c+bw7LPPlrnOhg0bmD59OosWLSItLQ2n08nUqVNPWGfs2LFceumlPP300yctK018fDwrVqzglltuKQ4+jzzyCLGxsaxZs4bVq1czcOBAnnzySSIjI0lLSztpvzNnziQtLY1Vq1YxZ84c/va3v7Fr1y4AVq5cyaRJk1i/fj2//fYbixYtquypUUpVgsaS4KQ1KcoXNJ54LqTKe1DK3ez7YPea6t1nk64w9MlKbzZ8+HCcTme563z33XcsX76cXr16AZCbm0tiYqJXxXS58sorATj99NOZOXMmAHPmzGHatGnF68TFxZW7j4ULFzJq1CicTieNGzfmnHPOYenSpdSvX5/evXuTlJQEQEpKCunp6fTr169KZVbK72gs0VhSw0T8u0/K0YJCfvx1P3M37qV1fBQ39m3t6yIFLo0nARlPNElRQSsqKqr4/yEhIRQVFRU/z8vLA6yqyzFjxvDEE094vN+y9uUSHh4OgNPpLG5zaoxBxPPhLsurJnXtv+QxlFI1Q2NJsBK/rUnJzS/k/EkL2JZ5BIAQh3BBlyY0ja2+fgfKNzSeeE6TFFW9vLirUBuSk5OZNWsWACtWrOD3338H4LzzzuOyyy5j4sSJJCYmkpmZSXZ2Nq1atSpzX61atWL9+vUcPXqUvLw8vvvuuwrvFgwZMoSXXnqJSZMmAXDgwAHi4uIIDQ3l2LFjhIaGnrB+//79ef311xkzZgyZmZksWLCAp59+urgdqVJBT2NJqTSWVB/r2sw/s5T/rdvNtswjPH5FV3q3bsj5kxbwzqJ0/u/Cjr4uWmDSeFIqf48n2idF1QlXXXUVmZmZpKSk8Oqrr9K+fXsAOnXqxKOPPsqQIUPo1q0bgwcPLm5fWZYWLVpw9dVX061bN0aPHk337t0rPP7999/PgQMH6NKlC6eddhrz5s0DYNy4ccX7cXfFFVfQrVs3TjvtNAYOHMi///1vmjRp4uW7V0pVF40lwUPw3z4pM1bsoHmDSEb2akG7xGgu7NqUD37axqG8Y74umqpGGk/KJzUxmkfPnj3NsmXLqn2/yj9t2LCBjh317o4/Ke0zEZHlxpiePiqS1zSe1B0aS/xTsMaT+z9dw1drdrPigcE+LtWJdh3M5awn5/KXc9tx15BTAViz4yCXvLSQ/7uwA+P6t/VxCQODxhP/U9lYojUpSimllKpzBPHLYZc/WbkTY+DKHknFr3VNiuXMNo3478J0jhUWlbO1UsFDkxSllFJKKT9gjGHG8h30bBVHcnzUCcuuPaMVuw/lsXrHQR+VTqnapUmKUkoppeocfxyCePWOg/yacZirTk86aVmv1tbwsCu3HajtYinlE5qkKKWUUqrO8ceO8wu37APg/M4nd0ZOjIkgKS6SFZqkqDpCkxSllFJK1Tki/tcnJW17Fq3jo2gYFVbq8h4t41ixNauWS6WUb2iSopRSSqk6yZ9SFGMMaduz6N6iQZnr9GjZgN2H8vgjK7cWS6aUb2iSooLCY489RufOnenWrRspKSn89NNPNXasAQMGoEPiKhW8NJ7UDSL4VZbyx8E8MrKPktKynCSlldUvRZt8BQ6NJ97TGedVwPvxxx+ZNWsWK1asIDw8nH379pGfn+/rYimlApDGk7pDEH/KUYo7xKeUU5PSsWl9IkIdrNiaxcXdmtVW0ZSXNJ5UjdakKJ/IyIClS61/q2rXrl3Ex8cTHh4OQHx8PM2aNePhhx+mV69edOnShXHjxhW3PR4wYAATJ06kf//+dOzYkaVLl3LllVdyyimncP/99wOQnp5Ohw4dGDNmDN26dWPYsGEcOXLkpGN/8803nHnmmfTo0YPhw4eTk5MDwH333UenTp3o1q0bd999d9XfpFKqVNUZS0DjSV0igl/1SUnblkV4iIMOTeqXuU6o00G35g20JqWGaDzxL5qkqDrgeDwAACAASURBVFqXmmpIblfI0OGHSW5XSGpq1f5IDBkyhO3bt9O+fXtuvfVWvv/+ewBuu+02li5dytq1a8nNzWXWrFnF24SFhbFgwQImTJjAZZddxssvv8zatWuZPHky+/fvB2DTpk2MGzeO1atXU79+fV555ZUTjrtv3z4effRR5syZw4oVK+jZsyfPPfccmZmZfPLJJ6xbt47Vq1cXBxalVPWq7lgCGk/qEj9r7UXa9iy6NI8lLKT8S7PurRqw7o+D5B0rrKWS1Q0aT/yPJimqVmVkwNgJRcRetYjokfOJvWoRYycUVemuRXR0NMuXL+eNN94gISGBESNGMHnyZObNm0efPn3o2rUrc+fOZd26dcXbXHrppQB07dqVzp0707RpU8LDw2nTpg3bt28HoEWLFvTt2xeAa6+9loULF55w3CVLlrB+/Xr69u1LSkoK7777Llu3bqV+/fpEREQwduxYZs6cSb169bx/c0qpUtVELAGNJ3WJVZPi61JYjhUWsWbnwXI7zbv0aBnHsULDuj90UsfqovHEP2mfFFWr0tMhMi6PsMRsAMISs4lskEd6ehQJCd7v1+l0MmDAAAYMGEDXrl15/fXXWb16NcuWLaNFixY89NBD5OXlFa/vqnp1OBzF/3c9LygoAKzhKd2VfG6MYfDgwaSmpp5Unp9//pnvvvuOadOm8dJLLzF37lzv35xS6iQ1FUtA40ldISIYP6lL2bgrm6MFReV2mnfpbq+Ttv0gp7dqWNNFqxM0nvgnrUlRtSo5GXIPRJC/NwaA/L0x5GZFkJzs/T43bdrEL7/8Uvw8LS2NU089FbDaf+bk5PDxxx9Xer/btm3jxx9/BCA1NZV+/fqdsPyMM85g0aJFbNmyBYAjR46wefNmcnJyOHjwIBdeeCGTJk0iLS3N27emlCpDTcQS0HhSl/jTZI5p2yvuNO+SGBNBw6gwtuzNqeli1RkaT/yT1qSoWpWQAG+95mDshL5ENsgjNyuCt15zVOlORU5ODn/5y1/IysoiJCSEdu3a8cYbb9CgQQO6du1KcnIyvXr1qvR+O3bsyLvvvsv48eM55ZRTuOWWW0q8lwQmT57MqFGjOHr0KACPPvooMTExXHbZZeTl5WGM4fnnn/f+zSmlSlUTsQQ0ntQp4j99UtK2HyQ+OpzmDSI9Wr9tQhS/apJSbTSe+CepiZEtevbsaYJpnGZVvg0bNtCxY8dKbZORYVWvJidT5SBQE9LT07n44otZu3atr4vildI+ExFZbozp6aMieU3jSd0RjLEENJ74E/d48uTsjfx34e9sfmyoj0sFF77wAwkx4bx7U2+P1r9vxmq+Xb+H5Q8MruGSBS6NJ/6nsrFEa1KUTyQk+G8AUEoFDo0lylsi+EWflILCIrZk5HD2KfEeb9MuMZppS7dz4HA+cVFhNVi6ukXjiX/RPilKlSI5OTkg71IopfyPxhP/5C99UtL3HyG/oIj2jWM83qZtQjQAv2Zok6+6pi7FE01SlFJKKVXniJ/0Sdm8xxpR6tQmmqQo5U6TFFUt/GnW3rpOPwsVyPT761+C+fMQxC/e38bd2TjEasLlqeZxkYSHOHSErwr4w+erLN58FpqkqCqLiIhg//79Ggz8gDGG/fv3ExER4euiKFVpGkv8S7DHE7+pSdmdTXJ8FBGhTo+3cTqE1vFR/JpxuAZLFtg0nvgPb2OJdpxXVZaUlMSOHTvIqOrUrKpaREREkJSU5OtiKFVpGkv8TzDHE3/pk7JpTzYdKtHUy6VtYjRrd+qs82XReOJfvIklmqSoKgsNDaV169a+LoZSKsBpLFG1qsQs3b6Qd6yQ9P2HuSylWaW3bZcQzew1u8g7VlipWpi6QuNJ4PP75l4ZGbB0qfWvUkpVhcYTpZSLK0XxtjlQdcSTX/bkYAycWomRvVzaJkZTZCB9vzb5UsHJr5OU1FRDcrtChg4/THK7QlJT/aBeVikVkDSeKKXcuSpSvMlRqiuebLJH9mrvTXOvhCgAft2rSYoKTn7b3CsjA8ZOKCL2qkWEJWYTtjeGsRP6MmiQUyfaUUpVisYTpVRJYtelVDa9qM54smn3IcJCHCQ3iqpkKaBNfDQi6AhfKmj5bU1KejpExuURlmjdZQhLzCayQR7p6T4tllIqAGk8UUqVdLwmpXJpSno6RDY8Ui3xZNOeHE5JjMbpqHz/mMgwJ80bROpcKSpo1UqS4k27zeRkyD0QQf5eqwo0f28MuVkRJCfXSBGVUgFC44lSqjocOWL9W9k+JQv3/UbUsB8oyrc6q+fvjfY6nmzafahSkziW1CYhmt/2aZKiglONJynetttMSIC3XnNwcEZfclIHcHBGX956zaFNM5SqwzSeKKWqQ2qq4dnnrPjRrmPl+pT8knmAyDAnRYfqAZC7sp1X8STrSD57Dh2lvRed5l1aNoxke2au19sr5c9qNElxb7cZPXI+sVctYuyEIo/vWowaJaRvcTL74yjStzgZNcr3wwUqpXxD44lSqjq4Ykl4560AxF6xuFKxZHtmLr3aNGDpo/0IdzoZd1+WV/Fk8x6rBqQqNSktG9bjYO4xDuYe83ofSvmrGk1SqqMdeEIC9OqF3vFUqo7TeKKUqg6uWBISnQ9AWGJOpWLJ9gNHaNGwHk2bOOjeKpb1ew94VQ7XyF7eDD/s0rKhVZuzPfOI1/tQyl/VaJKi7cCVUtVF44lSqjq4YklBTjgA+Rme9ynJzjtG1pFjxclBz1YNWb/rEIePFlS6HJt3ZxMTHkLT2IhKb+uSFKdJigpeNZqkaDtwpVR1yM47RmFYHs//5xiHZvUiJ/UcjSdKKa+4rk3yViUDcOjzPh7HElf/jxZ2cnB6chyFRYZV27MqXY5Ne7Jp3yQGEe+bnrZsZCcpBzRJUcGnxudJGTVKGDTISXp6FMnJ2sxCKVU5a3cepOtD3xQ/j78JQh0OOtSPYM7RaPbOacDpreLo1TqO8BCnD0uqlAoUo0YJ+xo6eXYepC130K6lZ4mCKxlo0TASgB4t4xCBZVsPcFa7eI+Pb4xh855shnZpWvnCu6kfEUpsZCjbtCZFBaFamcwxIUGTE6WUdxpFh/N/F3YgOjyUImM4WlDE3kN57MzKZePubOZu2osxEBXm5OxTEri8e3MGdkgkLMRvp4FSSvmB2PpWYtKgoecje7maVblqUmIjQ2mfGMOyrZXrl5KRfZSsI8c4tXF0pbYrTcuG9dimI3ypIFQzSUrGJvjvBRAaCVGJENMEGraGhA6Q2BEiYmvksEqp4NP02DbG/Xo7hEVZsSSmKbQ4BXqcCvFnkl0g/Px7JnM37uXb9Xv4et1uGkWFMbJ3C244qzUJMeG+fgtKKX+xbzNMvhgiG9D7cDTjnRDySwG06gZxycdneCzD9swjRIeH0KBeaPFrpyfH8UXaHxQWGY8nZXR1mm9fhZG9XFo2rMeGXYeqvB+l/E3NJCnOEHCEQG4W7PsFcvZAYb69UCCxE7Q8A9oNgjbnWBcfSilVGnECBrL/gD9WwuEM6zlASAQxzXpwXnJfzus5hH9dfA4//HqA1J+38cr8X3nzh98Z0bMFfxnYjsT63ndOVUoFCXFA4THI2EybrD/4e2g2fJZqLavXCFr0gdb9of350LDNSZtvP5BLUlzkCf1ITm8Zxwc/bWPznmw6Nq3vUTE27a76yF4uSQ0j+Xb9nkolSUoFgppJUhq2hRtmHX9eVAQHt0PGRvgjDbb/BKs/hGVvgzMcThkM3a6G9hdAiN71VEq5adQWbvzq+POCo7D/V9i7HnaugO1L4IfnYMHThNSL59zOl3PuuSP4feg5vPHDb6T+vI2Pl+/g5rNbM2FAW+qF1UorV6WUP2rUDv70PwA+XbqdR2Ys4bvrm5B4ZAvsWArbfoRNX8HX91mtP7oOg65XQ1wrwKpJaR1/4o3VnslxgNUvxdMkZfOebOKjw2gUXfVrnpYN65FfWMSeQ3k0axBZ5f0p5S9q56+1w2H9wONaWXcnAAry7WAwG9bNhI2zILIh9Lgeev0JGrSslaIppQJMSDg07mQ9ug6zXss9AFu+g41fwsopsPQtWid04IneNzPhjEt5ev4OXpy7hRkrdvKvSzszqFNj374HpZTPORxCNvXIa3w6NDobet5oLcj8HX75BtZ9CnMftR5tz8P0HseOA4X0b39iJ9uWDesRHx3Oyq0HuO6MVh4de9OenCrNNO+uhdswxJqkqGDiu56lIWFWU6+hT8LE9XDtDEjuC4tfhBdOg5njrL4tSilVkcg4K2EZ/g7c/Qtc+hKERMCXf6XVez15qen/mHFDJ6LCnYx9bxl/nrqCzMP5Fe9XKRW0nPYVUKEp0XG+YWvoMx5umg13rIYBf4c965DUEXwhd3NO7ndQeHxeFBHhtKRY1uw86NFxi4oMv+zJrrYkxTVni47wpYKNfwx/4wyx+qeMmGIFhDNuhQ1fwMt9rGQla5uvS6iUChQR9aHHdTBuPvzpW2jVD75/ktNnns3s7j/x90Et+Wb9bs6ftIB5G/f6urRKKR9x2P1KCovKGd0rrhUMuA/uXMNv57zAMZz0X3c/vNzbqmmxE5yuSbFsycjxaFLHnVm5HMkv5NRq6DQP0KxBJA6x+ssoFUz8I0lx16AFnP8Y3LkG+t4O6z+D//SEbx+Eozm+Lp1SKlCIQIveMOoDmLAI2pyDc/5jjF81nPmDd9OoXig3Tl7K419t4Fhhka9Lq5SqZa5O5kUla1JKExLGmrjBXJj/BDsveAucYfDRGHh7MOxcQdfmsRgD6/6oeJQt10hc1VWTEhbioGlspM46r4KO/yUpQEYGLF0fT0bKw/CX5dDlKlg0ybpzsf7z4jsXSilVnowMWLoUMpxdYORUuOl/UL85zedP5KvYJ7nrtALeWPAbI17/kd0H83xdXKVULQqxk5SCQs+uKTZuP4LBQVHLK+GWRVaz0qxt8OZAztz4OPXJ8ajJ1+odB3E6hE4edrL3RIuGkdrcSwUdv0tSUlMNye0KGTr8MMntCkn9qjlc8Src9I3V7vzD6+DD6yEnw9dFVUr5sZNiSaqxhj7/07dwyYs4MjZw+y9/4uvuS/h19wEufWkhK7ZVbkI2pVTgcjX38qQmJTXV8NxbRyjKDaVDR0id7rCald62FPpMoN7q95gTcR+FG2dXuK+07Vl0aBJDZJizyu/BpUVcPa1JUUHHr5KUjAwYO6GI2KsWET1yPrFXLWLshCIyMoCWfWDc93Deg7D5a3ilj9VvRSmlSig3ljgccPoYuG0ZdLyEDhte5KfGT3GK8w9Gvr6ET1bu8HXxlVK1wNXcq9w+KRyPJ+Ftd+GIPHZiPImItQYAunku+aGxjNvxd/jkFjiaXeq+iooMq3ZkcVqLBtX6Xlo2rMfe7KPk5hdW636V8iW/SlLS0yEyLo+wROvHHZaYTWSDPNLT7RWcIXD2XTD+B4htAdOvhVkT4Zh2FlNKHVdhLAGIirdGA7v6PSIO72RK4b38Nf4nJk5P4z/f/YLRZqVKBTWHK0mp4LfuiieOMCsBKDWeNOvOZ72n8lLB5ZjV0+D1/tY8TiX8tu8w2XkFpFRzkpLU0Bp6eGeWXg+p4OFXSUpyMuQeiCB/r9WZLH9vDLlZESQnl1gxsYPVZOOs22HZf+HNgdbkbkopRSViCUCny2DCIiSpJ+MPPs+MxHd45dvV/H3mGgq0Q71SQcvpau5VQU2KK56YImv9suJJp5YJPFNwNeuHfGDNBff2YPjp9RP60a7angVQ/UmKPVeKJikqmPhVkpKQAG+95uDgjL7kpA7g4Iy+vPWag4SEUlYOCYMhj1jzq2TvhjcGwIZZpayolKprKhVLAOo3hes+hXPvp8eh71gQ9xhLlv3MbR+s5GiBNp9QKhh52twrIQHefFXAQP76lmXGk67NYwFYfOxUuGUhtBsMs++BmTdD/mHA6o8SHR5C24Toan0vze1JHHcc0H4pKnj4VZICMGqUkL7FyeyPo0jf4mTUKCl/g3aDYPz30KgtTB8N3z9Nxl5jjeijfeuVqrMqHUscTjjnb8i1M0ggk/9FPUTOhm+57o1l/PBjgcYTpYJM8TwpHjTtvHK4QZyGG4ZHlhlP4qPDaRYbYY3wFRkHIz+AgffDmo/hv+fDwR0s+z2LVvVjydxfQTyqpMb1IwhxCDt1rhQVRPwuSQHrrkWvXpR917OkBi3hxq+h20iY9yjzbv8TV4zcd3xEH6VUnVTpWALQ7jwY9z3hDVvybti/OXXHB1zz5hJadzyq8USpIFI8T4oHrTpz7EkaO7QLKTeedE2KZdUOq0kXDgf0/xuM/ggy08l98VzCdq9g5fdR1X594nQITRtEaHMvFVT8MknxSmgEGf1e458L/8mwU2fyyeihJA+ffXwEDqWU8lRcK/Zd9j++/nUwj4RN5oFmr9Do+jnc/Jd8jSdKBQmnhx3ngeKZ5KPCQspd74w2jdi6/wjp+w4ff/GUwWRe+S17DoYzPeJhLu4y48QRwqpJ8waRWpOigkrwJClA+lbhlS0T+POx2+kmv/N5s7tpn/TLiSNwKKWUB37/I4YbF77JOwXnMy7kS16KepHGly1iwy8Fvi6aUqoaHO+TUnFVSnae9buPjig/SRncqTEA367fc8Lrv2Z35OL1b7HRtOTV0Enc1HTmySOEVVHzBvXYoUmKCiJBlaS4RuD4bPcgrsu/j0Yc4quhl9E2ZoOvi6aUCjDJyXA4M4p//PFnHj82ikucS3i32QO8tnyBzkWgVBBwje7lySB+ruZeMeHlJylJcfXo1LQ+36zffcLrycmwv76Dkbn3M68ohUdD3+HODi+Q3Kr6mnw1j4tkT3Ye+QU6KqEKDgGdpGRkcEIHefcRfeZ+cAuDp/yP2Fho+NlQ2Lnct4VVSvm1suNJP56b8iw3f/0KZzo3cHfG35g4ea6O+qVUgHPYV0AVje4FkONhTQpYtSnLtx5gzsKjxfGkMCyPyOR9ZK7qwOj3P+P9daO4/8ynSFjxf551ivFAUlwkxsDug3nVsj+lfC1gk5TUVENyu0KGDj98Qgc09xF9vvqpK/X+PBvC68O7l8HWH31caqWUP/Iknjz+xWicI97jtJCt3LHjLv4xZb7Oo6JUACvuOO9Jn5R8O0mpoCYFoGhbIkUGrn1ge3E8+XDZdoowfP1SK2Z9FMsFL78CfW6BJa/ArDuqJVFJ0mGIVZAJyCQlIwPGTigi9qpFRI+cf1IHtBNG9GnYBm76GmIaw5SrIH2RT8uulPIvlYonHS/GOfpDTgnZw82/3c7jH32vM9MrFaCON/eq+Ddc3CelgiQlIwP+eVc0plCI6LPJiie3FDJ1yTb6tYunR/soK54kOuCCJ6zRv1a8B5/fBkVVq51tHmcnKTrClwoSAZmkpKdDZFweYYnZAIQlZpffAa1+M7jhS4htDlOHQfrC2iqqUsrPVTqetB1IyLUf0SYkg1Hr/8zLXyyuraIqpaqRoxI1Ka4+KRU197LiyVHEae0zLDGb6I5/sCc7j2v6tDxxZRFrHpUBf4e0qfDZn6tUo9I0NhIRdIQvFTQCMklxdZDP3xsDQP7eGHKzIkhOLmejmCZ2otICpl4N236qjaIqpfycV/GkzTmEXPcxrZz7OG/ZeKbNT6uNoiqlqlFlalJy8gpwCESGOstdzxVPjmXWA8AYCDt9Mw3rhTGoY+PSNxpwH5z7D1iVWqWmX2EhDhrH6FwpKngEZJLi3kE+J3UAB2f05a3XHBVP2BadCGM+t5p+TR2mnemVUl7HE2ndH+fo6bRz7qbL3DF8u3xT7RRYKVUtjg9B7FlNSnR4CCLlzxTviidZ0/tz5Kue5K5pSf1Yw9j+rQkLKeeS65x7jjf9mn2Pld14oXlcpPZJUUGj4h5gfmrUKGHQICfp6VEkJ1diRumYJjDmC3jnQquPyo2zIbFjTRZVKeXnvI0nznbnUnj1FE6dPpr8z69lZeyndG/XvEbLqpSqHpVNUmIiQj3a7/F40pjk5MYkJHT1rEDn/gMK8mDxfyA8BgY96Nl2bpo3iGTl9gOV3k4pfxSQNSkuJ3RorYzYJLj+M3CGw/tXwIH0miieUiqAeBtPwjpeQN4lr3OabOHIlGvYulcvEJQKBJWZcT4nr4Co8PKbernzKp6IwOBH4PQbYeFzsOiFSmxsSYqLZFdWnkeJl1L+LqCTlCpp2Bqu+wSO5cJ7l0POXl+XSCkVoGJOH0bmuf+mL2n8+sa1HDx81NdFUkpVwGE33SqqRHOvGicCFz0Lna+Eb/8JK96v1ObN4yIpKDLszda5UlTgq7tJCkDjTjD6Y8jZA1OHw9FsX5dIKRWgEs65mW2n38fAgoUsfnUcx3SyR6X8WmWae2UfLSDaw+ZeVeZwwhWvQ9vz4Is7YNPXHm/avHiuFO08rwJf3U5SAFr0guGTYfca+PB6KMj3dYmUUgGq5cX3sbn1dQzN+ZQ5b/9D51BRyo8Vj+7lwc/08NECYmqjJsUlJAyufg+adoOPboDtSz3aLMmeK0WHIVbBQJMUgPbnwyUvwK9zYdadXo+qoZSq40Rof92LrG84iKG7XuWHT17zdYmUUmVw2FdAHjX3yqul5l7uwqPhmo+sAX9SR8D+XyvcpHkDa+hjHYZYBQNNUlx6XHd8QqUFT/u6NEqpQOVw0GHCVDZFdKPPqvtZs3i2r0uklCpFpTrOHy0gqraTFIDoBLh2hnXzdOpwOJJZ7uqRYU4aRYXpMMQqKNRIkpJztCAwmzmccy+cNgrmPQarpvu6NEqpAOUIi6DZ+BnsdTamxTdj2bllta+LpJQqweHhZI5FRcbqOF/BbPM1plFbGJUKB3dA6ig4Vn6n+KS4SO2TooJCjSQpv+87zJWvLubb9Xs8qkb1GyJwyYuQfDZ8fhtsW+LrEimlAlRMXCKOa2dQhAPzwQgOZ2X4ukhKKTchDs9G9zqcXwBQu31SSmp5BlzxGmxfAl/cXm6z9OZxkdonRQWFGklSmjWIJCP7KDe/t4yhL/zAZ2k7KSgsqolDVT9XZ7XYFjBttM6hopTyWvM2Hdk++E0SCvey4/VhGB2YQym/4WruVVBRknLUGqnPZzUpLl2uhHPvh9XT4Ydny1wtKa4eO7NyA7NFi1JuaiRJaRQVxvy7B/D8iNMwGO6YlsbAZ79n6k9byTsWAMNy1msI13wIRcfgg5GQd8jXJVJKBajT+l7A4k7/5NTcNNa/PV4H5lDKT4gIIlBUwW8y5+gxgNrvOF+a/ndD16th7iOw/rNSV2neIJKjBUVk5Oh8TSqw1VjH+RCngyu6J/H1Hf15/brTiYsK4x+frKX/v+fx5oLfOHy0oKYOXT3i21k1Kvs2w8xxUBQgNUFKKb8z4Orb+abhNXTeNZMtX03ydXGUUjanSIV9UrLzrOsVv0hSRODS/0BSL/hkAuxee9IqOgyxChY1PrqXwyGc37kJn956FlPH9qFdYjSPfbWBvk/NZdKczWQd8ePmD20GwAVPwObZVmd6pZTygojQb/wLLAnpRaulj7B39RxfF0kphXWNUtHoXjn2TVWfN/dyCY2AEVMgIhamjYLD+09Y3NyVpOgwxCrA1doQxCJC33bxfHDzGXxy61n0bNWQSXN+4awn5/LYl+vZc6j80Sp8pvc46H4d/PAMrPvE16VRSgWoeuFhNLlpCttoQvgnN3I043dfF0mpOs8pUmHH+Rx/qklxiWkCI6dC9h74aAwUHitepLPOq2Dhk3lSureM460xPfnfnf0Z3Kkxby/8nbOfmsf/fbKGbfv9bGxvEbjoWWjRBz69Ffas83WJlFIBKrlZE3YPnQxFBex/ezjk+1m8U6qOcTqEisb1Ka5J8ackBaD56XDpi5D+A3zzQPHLMRGhxEaGanMvFfB8OpnjqU1ieGFkd+bdPYBhPZP4eNkOBjwzjzunrWTT7mxfFu1EIeFW/5Tw+taIX7kHfF0ipVSA6tunN992eJQmuVvY+u5Y7UivlA85POo4bw9B7C/NvdydNhL63AI/vQqrphW/3LxBpE7oqAKeX8w436pRFI9f0ZUf7j2XP/VrzTfr93D+pAWMfXcZK7f5SUIQ08RKVA7ugBk3a0d6pZTXLr/6Rj6KvZ5WO79k1zfP+bo4StVZVk2KZ829fDLjvCeGPAKt+sEXd8CuVYDVeV77pKhA5xdJikvj+hH846JOLLp3IHcOOoVlWzO54pXFXPPmEhb+ss/3Y3637ANDn4It38KCf/u2LEqpgBXidHDezf9mvvQm4cfHOPzLD74uklJ1ktPhqHCelJyjBYSHOAh1+tUl03HOUBg+GSIbwvTrIPcAze1Z531+3aRUFfjlLy4uKow7B7Vn0b0Duf+ijmzZm8O1b//E5a8s5n/rdvt2FvueN8Fp18D8J2HzN74rh1IqoMXHRFB/1JtsNwkUTLsec2iXr4ukVJ3jdFQ843zO0QL/bOrlLjrBau1x6A+YOY6kBhEcyS8k68ixirdVyk/5ZZLiEhUewtiz27DgnnN5/IquHDicz/j3l3P+pAV8snKHb2axd3Wkb9wFZo7VGemVUl7r0T6Zpb1fJLTgMHv+ew0U+vn8UUoFGad4NgSx33WaL02LXta0Cb98Q/9d7wA6wpcKbH6dpLhEhDq5pk9L5v71HCaNSMEhwsTpqzj32flMWeKDWezD6sGI98AAH46BAp3VVSnlneEXDmFK4l9pkrWCPZ/+w9fFUapOcTg8G4LYb+ZIqUivsdBtBO3Wv0Rfxxp2ZmnneRW4AiJJcQlxOri8e3Nm33E2b17fk0ZR4dz/6VrO/vc8Xv/+1+IROGpFwzZwxauwKw2+/nvtHVcpFVREhKtvnMhM5wU0XvMah1d95usiKVVnOD2YzDH7aAFRYQGSpIjAxc9TFH8qL4a+ROaudF+XSCmvBVSS4uJwCIM7NeaTW8/ig5v7cGrjGJ6YvZGznviO577dzIHDtTSLfYeL4KzbYdnbsPqj2jmmUiroNKgXHwv7UAAAIABJREFURptrX2B1URvks1swmTrRo1K1wSmeje7l931S3IVF4RjxHpHk0y/tnhMmelQqkARkkuIiIpzVNp4pY/vw6Z/70qdNI1787hf6PjWXR2etZ/fBWpjF/rwHoeWZMOtO2PdLzR9PKRWUUlo3YX2//3Cs0LBv8jXajFSpWuBwSIXzpBzOD5A+KW4k4VQm1budlodXw9xHfF0cpbwS0EmKu5QWDXjz+p58M7E/53duwjuL0+n/73n8feYatu4/XHMHdobAVW9bEz5+OEZnkFZKeW3E4L683/heEg6tJ2PmPb4ujlJBz9OalIDpk+LmtybnMytsKCx6ATZ97eviKFVpQZOkuLRvHMPzI1KYf/cAhvdMYsaKHZz7zHxuT13Jxt2Hauagsc3hijdg7zqYrRcWSinviAjX3nAr05yXkLB+MofTZvq6SEoFNYdDqGig0OyjBUSHh9ZOgapRi4b1uD/vGkyTbvDpBMja7usiKVUpQZekuLRoWI/HrujKwnvO5eaz2/Ddhj1cMOkH/jR5Kcu31sAs9qcMgn53wcr3tX+KUsprDeqF0X70M6QVtUU+v037pyhVg0IcQmFR2VlKfkER+QVFRIc7a7FU1aNlw3pk5Ts5cNEb1vDmM/6k/VNUQAnaJMUlsX4Ef7+wI4vvO4+7Brdn+bYDXPXqYka9UQOz2J/7D2hxht0/ZUv17VcpVaf0aNOENWc+T0GhYf+710JBLQ0GolQd43AIheVcBhy2Rw0NtD4pYCUpAOmmCVwyCbb/BPMe83GplPJc0CcpLrH1Qrn9vFOKZ7H/bZ81i/1lLy/i67XVNIu9MwSGvQ3OUPj4BjhWCx33lVJBafT5/Xkn/m7iD65l/2c6zLlSNcEp5c8475raIDoi8Jp7tWpkJSnbM49A12Fw+g2w8HnYMse3BVPKQ3UmSXFxn8X+iSu7knXkGBOmWLPYz1yxg2NVncU+Ngkufw12r4Fv/1k9hVZK1TkOhzD6xtv40HEBjda8Rd76r3xdJKWCjtNRfsf57DxXTUrgNfdKirOSlG377QF9LngSEjvBzPGQvduHJVPKM3UuSXEJD3Eyqrc1i/0LI61Z7O/6cBXnPjOf96s6i/2pF8AZt8LPr8PGL6uv0EqpOiU+OpykEc+xvqgVBTMmwKE/fF0kpYKKQ8qfzDHXvhaICA28JCUi1Enj+uFsy7STlNBIGPYO5B+GmeOgnL44SvmDOpukuIQ4HVyWYs1i/9b1PUmICeeBT9fS76l5vPb9r2TnednJbNBD0PQ0+OzPcHBHdRZZKVWHnHVqc5b0eBpHQR4Z742BoircQFFKncDpkHKbex0N4CQFrH4pWzPdpkZI7ABDn4Lfv4eFz/muYEp5oM4nKS4OhzCoU2Nm3nIWqTefQcemMTw5eyN9n5zLc99sIrOys9iHhFt3LAqPwYyb9cJCKeW16y8ZzH9j/0zCvp/J+uZJXxdHqaDhdJRfk5JXYP3tjgzQJKVFw3pWnxR3Pa6HzlfCvMdh+8++KZhSHtAkpQQR4cy2jXj/T3347M99OattPC/O3ULfJ+fy8Bfr2XUw1/OdNWoLFz0L2xbDgmdqrtBKqaAW4nRwxY1/40v6EbPkGY79vtjXRVIqKDik/JqUvGNWk6hArknZfSjvxCbsInDx89Ycbx//CXKzfFdApcqhSUo5TmvRgNeuO51vJ/ZnaJcmvPujNYv9fTNWk77Pw1nsTxsJ3UbA90/CVr2wUEr9P3vnGRXV1YXh584MQ28iiBVUFLuxF2wo9qixi73HFpMYY0w1yWeaRk2MvbfEErsx9i6W2LsoIhYUQZBep3w/rmCjKeAMw3nWciWLW2YPM/fl7LPbm1Hc0Qp1p98J1jkRv3oQJOTBvCeBoIChUkhoMnVSUtO98udyqVQhK/R6CI58aYPV0gG6LoboYHlsQm6OYxAIcon8+dS9ZcoVsWX60yn2PeuUZOO5YJpPO8gHq89x7WE2pti3nwYObnLal1hYCASCN6RlDQ/+9fwRq6QwQv8aKRYWAkEOUWTR3csUIinAs+L55ylZF7y/gCub4Nyqt2yZQJA1wkl5DUoWsmLye1U5+pk3w5qU4cD1UNr+foTBy05x5k5Exhea28rzU2JDYNuHYmEhEAjemIE9urLSsg8u93YQfWyJoc0RCPI1SklCl1lNSmokRZVPnZTnZ6WkR6OPwb0x7JgAj2++RcsEgqwRTsob4GJrwedtK+L3WXM+aVmec3ef0HXucXrOP87hG2HpT7EvXguafw1Xt8DZFW/faIFAYBJYmClpMmgyx/WVUe/9HF2ov6FNEgjyLVnNSUktnDfPp+lezjbmWJgpns1KeRmFEroskJv9rB8MmqS3a6BAkAn586kzEuytzPigRTn8Jjbn63crcSc8nv5L/qPjLD92Xn74ajFew7FQphns+AzCbhjCZIFAYAJ4FLHnUYuZxOvMCF/RTywsBII3RKGQyMRHITFZiySBuSp/LpckSaJUIav0071SsSsGneZAyEXY9/3bM04gyIL8+dQZGVZqFUMalebQhGb83KUq0YkpjFh1lpYzDrH+zHNT7BUK6Dwf1FawQexYCASCN6dT41qsKz4R51h/QjZ9aWhzBIJ8iVIii0iKDnOVAkmS3qJVuUuWTgpAhXZQZygcnwUB+96OYQJBFggnJRcxVynpVbcU+z9pxh++NTBTKhj/9wWaTT3I8mNBcm6rrSt0mg0hl8SOhUAgeGMkSaJ3/xFsVLbB9cpC4q7uNrRJAkG+I+vCeW2+LZpPpeRTJyXdVPTnaTUZnCvAphEQG/Z2jBMIMkE4KXmAUiHRoXoxdnzYmCUDa+Nqb8GkrVdo9Mt+5hwMINrNB+oMe7pjsdfQ5goEgnyKnYUZpfv8xk1dcTQbhqOPDTW0SQITR6/XM3XXdUObkWtkp3A+vxbNp+JWyIr4ZC1hMVlkb5hZym2JE6Ngy2jR5EdgcISTkodIkkTzCkVYP6IBa4bXp1Ixe6bs9Mfr5/38JvVD41QBNo0UOxYCgeCNqVGmKGfrTsdCE8uD5UPEwkKQpxz0D2P2gVuGNiPXyLJwPkWXb2ekpFLWxQaAW2HZmO/mWgVa/Q9u7oL/FuaxZQJB5mT55EmSNEaSJMe3YYypIkkS9cs4sWJwXbaNaUQjj8L8fuQ+XUIHo4mPJHHD+2JhIchbNMmGtgAQepJXdG/XmrWOwygedphH+/4wtDkCE0Wn0/Prbn/KOJoZ2hQgd/Qkaycl/6d7lXVOdVJis3dB3eFQrhXs/goeXclDywSCzMnO9oArcEqSpHWSJLWR8nP1mBFQtYQ9c/vKU+w9qtZjckpvLG7vY8uCSdzO7hR7geB10OvlRg3GgdCTPEChkGg7eBJHpFo4Hv2exPuXDG2SwATZdSWE+w8esFUaZ2hTUsmxnigVEtrM0r00OszzuZPiameBlVqZfSdFkuRuXxb2sH4IpCRkfY1A8CbcPpLp4SydFL1e/xVQDlgMDARuSpL0oyRJZXPDvoKKh4st03u8w5CPf8TfriFtHsxh1PQVjPnrLFceRBnaPIEpcXYFXNtmaCsAoSd5ibOdBWZd5hCltyJyZT+xsBDkKlqdnmm7/ZllsxTrxBBDmwPkjp4opGxEUvJp++FUFAqJMs7W2Uv3SsXGGTrPhbBrsPvrvDNOUHCJj4CNwzM9JVtPnl5uCRHy9J8GcATWS5I0Jac2FnRKOlnjOXwFZtYOrLBfwHH/YNrPPMqgpf9xOiiTKfYCQQaEhcGpU/J/CbsBOydC6aaGNisNoSd5R/2qFThQ8Xtck25ze7XR7HYL8jGperLqSDC1Iv6hseY4UotvDG1WGjnVE6VCenWm2XMkmUC6F8gpX7dCsxlJScXDB+qPhlMLwX9n3hgmKDC8sDbR62HbWIjLvCY7OzUpYyVJOgNMAfyAqnq9fiRQC+iaC3YLbJxRdJmHc0Igx2ruZ3yr8ly4H0W3ecfpMe84B/1Ds24dKBAAq1frcffQ0rZ7HOU944lYNARUFvJ8HiNA6Ene07l7f7ZadqZ04F+End5saHME+Zg0PekZw5L1+/nWbAX60s2gwRhDmwbkjp5kme5lAoXzIDspwZEJJCRrX+9Cn0lQpCpsGQUxxhFBE+Q/nl+buHto+W/ecjnDI4sNj+w8eYWBLnq9vrVer/9br9enAOj1eh3wbs5NFwDyjkWDMZifW8KY4gEc/cybSR0qce9JPAOXnuLdP47y76V0ptgLBE8JC4OhI3TYd/XDptdBfho4kkJJF4lqNgvsihravFSEnuQxZkoFNQfP4BrumG//gOQnwYY2SZAPeV5PCvXYx2zHacQnWRLRdJ48mNg4yLGeKCQJnS7j44ka04mkAAQ+fs1oisocui2G5Hh5fkpmvyyBIB1eXpvU6rmGKvcnklyiWZYbHtmpSflGr9ffyeDYtTczWZAuLb4B16qweRRWiWEM8irNoU+9mdK1GvHJWkb9eRafGYf4+/S9Z1PsBYKnBAWBpWMiapcYGisuMsJuM4uvDeCGor2hTUtD6MnboYSzI49bzcFMl8j9JQPEwkLw2jyvJ+NV66iiCGLskd8IDDOaDY9c0ROlgiwiKVosTcFJcbEGstmG+GWcPaHNTxB4AE7MzmXLBKbO81qiJoW5rr8Qr7Xkquf8LDc8jGY7RIC8Y9F1iVzwulnesVCrFPSoU5K945oyq3cNzFVKPl1/kWZTD7LM7/brh24FJou7OyQ8scDmsY5pZvO4nlyKCXt+xN3d0JYJDEHjhl7sKfUxZWJOcXPLT4Y2R5DPSNUTr+SrDFdtZ2lcOzZf6mhyeqJ8WjifUUq1nO6V/50UdydrJInXr0tJpdZAqNgB9n4HD87nqm0C0yZVSzSxaj5VraWy4g4jds2ieAXXLK8VToqx4Vwe2v4MgQfh+LN5B0qFxLvVivHv2EYsHViHovYWfLvtKo1+2c/sAwFEJ6YYzmaBUeDsDIvmSkxNXoGdNoH+a/5i1mxrnJ0NbZnAULTqNwE/s4a4X5hGmP8JQ5sjyEc4O8Oc34KZYfMH15PcGb94IYvmKUxOT5RPd3IzyqROTNFibgI1KRZmSko6WmW/DfHLSBJ0mAk2LrBhCCS94X0EBQ5nZ5g/F7zNzjNM9S8rklvx3qdtsqUl+f/JM0VqDpB3LPZ9D8FnXzgkSRLeFVxYP7Iha4fXp0pxe6bu8sfrp/1M3XWd8NgkAxktMAZ8yyygbZndPKo+me0nq+LrK8aQFGQs1CpKDFjIY70DKesGk5IQbWiTBPkFvZ56EcOwl+IJabiY6/42JqknyqeroPTaEOt0epI0OixU+T+SAlD2ddsQv4xVIbkJS/gt2PlZ7hkmMHmKeFxlut1M7ipL84OuNzWaZc/JFU6KMZK2Y1Hk6Y5FTLqn1SvjxPLBdfnng0Y0Ll+YOQdv4fXLfr7deoUHkWJGQoEj5BLs+RrKt8Wt2zCT2/EUvBluJUpwq/F0XDUPuLZ4hKHNEeQTQvf+RoWYE+wrNZZmHWqbrJ4oFLLjpUsn3StJI9dymUK6F8jF84FhsTlrwFO6MTT+BM6tgssbcs84gemi01F470fYSYkoeywmCTVn70Zm61LhpBgrVoWgy0J4EgTbx2d6apXi9szpU4s9Hzfl3WrFWHXiDk2mHGDC+gsEvmloV5C/SI6D9YPBshB0mi07ugLBUxr5vMfBIv2p9ng7V3YtNrQ5AmPn4QUc/X7gALVo0NO0d8yVT7UyvUhKYopc82kKLYgByrrYkKTREZzTTcxmE6FEHdj2kbxGEQgy4dGeGdRIPs2p8uMoVr4mhW3UnLv7JFvXmsaTZ6q4e0GTT+HiGriwNsvTPVxs+LV7dQ5N8KZvfTe2XnhAi+mHGP3nWS4Hiyn2Js3OifD4JnSZD9ZOhrZGYIQ0HDKVq8oKlDr+JY/uXDe0OQJjJSmW+L8GEK634Y7XFBxtzA1tUZ6ifBpJSa/DV6Im1UkxnUgKQMCbFs+nojSDrovk/98wFLSiJlaQAQ/OU/jEj+zW1qJSx3FIkkSNUo6cE5EUE6HJBCjVALaPg4jAbF1S3MGSbztW5uhnzRnZtCyHb4Tx7h9HGbDkP/67LabYmxyXN8DZFdDoYyjTzNDWCIwUC3NzbHovQ6+XiFrVn5RkUb8meBXdvxOwiAniJ4tx+HrXMLQ5eY7iaSQlvRSoxJTUdC/TWCqVLyI7KddD0k8hfy0c3aHDb3D/FBwU3QMF6ZAUA+sHEyE58JfrBAo93fCoUcqB24/jiIhLzvIWpvHkmTJKlZz2pVDK6TyajD/UsDA4dUr+L0BhG3MmtKmA3+fN+bS1J5eDo+gx/zjd5x3jgJhibxo8CYJtH8uhd+8vDG2NwMgpVbYi/vV+oHyKP6eWfpLpuS/riaAAcGk9igt/MlvTibYdumNuIgXjmZEWScks3ctEfg8OVmpKOFrmXmZFla5Qoy8cmQ6BhzI9VehJAeTfCeif3GZMwkjqVvZI+3HNUo4AnL+XdcqXcFLyAw4loeMseHAO9n+f7imrV+tx99DStnsc7h5aVq9+Jrh2FmaM9vbg6GfN+bZDJYKfJDDo6RT77RcfpivOgnyANgXWDwH0cuhdaWZoiwT5gDrtBnPKqQMNH67kzL716Z6TmZ4ITJSIQPTbPuQ8nhwvOYzWlbOeYWAKKDJL90oxrXQvgKrF7bmUm+nfbadA4XKwcRjEpu+BCD0pgFxYAxf+4krZ4ZzUV6RFhSJph6qVsEepkDh7J+uUL1Ve2ijIRSp1hNpD4Ngf3EhpimPdlmndVsLCYOgIHfZd/eSJnqG2DB3hhY+P8oWOLJZqJQO9StO7nhubzwcz7+AtRv91ljKFrRnRrCzvvVMctUr4rfmG/ZMh+DR0XyaH3gWCbFJt6Fzu/noB98Pj2KOpzTs13V9bTwQmhCYZ1g8mUSsxJmkU8ztURSogzTeUaelerx5LTfcyhTkpqVQpbs+OyyFExadgb5ULG1tqa+i2BBa2IGndSA6VXcEK/yscDQxFIYG1WsWD3eWx73oXtUus0JOCwOMA+GcclGrIH9ouFHeIS0s1BLBSq6jgasvZbBTPm86TVwBYFzWZy2GVKHRkOPWr30/bjQgKAkvHRNQucp6p2iUGc9tE/v03/dCqWqWgR+2S7BnXlNm9a2KpVjJh/UWaTT3AUjHFPn8QsA/8fpOnAFfuLELpgtfC3NIWvyLLsCYe84P9Ke2ZmKGeKG2SMLNM5tw5AxosyFv2fQcPzjEucSh1q9YiPti+wGiJ6mkkRZOOl2JqhfMg72IDXH6Qi9EU16qccvoB87t7OPXvpxzxf4xXYXdGe3vgZmePbdOrqF3kYn2hJyZOSiKsHwQqNYmd5nHo5hOqFHLh8eMXNz1KF7YmJCoxy9sJJyWfEBYGg0aZMyplDFbmcazs35PhI1MICwN3d0h4YkFyqC0AUSdKE/nIgnHfZB5aVSok2lcryj8fNGLZoDqUcLTiu+em2EcliI4dxkh4UAgp64ajKVQRWv8kQumC1yYsDIZ++g5fRw+lifkFvh72EUNH6F7Rk7hrRQle0JS4ZB2du4nvlikSdWonHJ/FTosOHKQhCz7yKFBakjYnJZ1ISpKJ1aQAVCkmOym5mfIVFgYtZ3Zip7YOEyxWUyXhLpv/V4H+NTxZ3K8escc90etBG6smeEEToScmTMLWryHkIlHec/h5vSWJGi2bl9q9oidWaiXx2dgQF05KPiF1d/NuIQe+ThlEQ4vLfN30J4KCwNkZFs1TELXBi+hVzYjy88S1nx+2vgex7+qXtvjICEmSaObpwroRDVj3foO0KfaNft7PLzuvExYjugAZC2v+0nD5+6GkxMdSb8Zi5i+1TEvNsemVvc9bIEjVk7/NG7FV24DxFmvwabbxBT2J/NuL8B3VcO19guLDD2LfTXy3TI3NK+6jWT+CSzGefBjZlZB95bB791SB0pK0ifPp1qSYVncvAEdruXg+N52U89eTsGt9gQkpw3iEI/Odp+DqEkJQEBRxkfhjRFliDlVCaZNMsSFHhJ6YKEcWbMHy0gLmXhlO0RatmbM1BL0eLJteekVPrNQqElKEk2IyPL+7uUHXhHWxzRn/zgzKqeSOGr6+EkEBSmb8YI1jsRdTvywdEgkKyt7r1C1dKG2KfRNPZ+YdukWjX/YzacvlnA+AEuSIsDAIWD6FpqWOMEnfn4fe4Xz4iQ4Lhzf/vAUFk2d6YscXKUO4qyvCvOoT0CpuA7KebN6gxL5IkvhumShhjzQ4HxmCuXkiY9XDiU+wIvamc4H7vBXZGuZoOpEUeFo8fz93nBStTs+CS+eQzDSEh7swJnksRXjC9LoTcHeTf6e+vhKrv3Mn5V5hVLbypmdB+X4VFMJv3aFq4BjOJZVjetlGWDU/h4Xng7S50i9/3hZmymyVFggnJZ/wfLQkdnUzxixbRox5ORz2DoWYR2nntGsHiZHPUr+SQ21JiLTA3f31Xq9KcXtm967J3nFN6fROMf48eZemUw4w/u8LOR8EJXgjwk8f4ov6U9igbcTf2qaoXWKwckgkPjznn7egYPG8noSsbkffTctxkqLRbR9CZJycJ1yjBiRHi++WqaLZPRmv4if4UjOI2/qiIIE2puB93qktiHUFpLsXyH/f70bEExWf85Tuv/67y6m74XRzr0zkuiYc/Wso3xyeRKdy/+AcOD/tvJo1JaL2VEOvlX/fyaE2BeL7VSDQJGO+dSCSAsYyihRUWJV9jEKtJSXCCnhVT6zUSpK1OjTadPIsn0M4KfmI1GjJjvXWXLlmj/2Q5fKwnA1DQCeL6cvOTNQGLxbNU7xxF42yzjZM6Vadw0+n2P9z8QEtZxxi1J9nxBT7t0nMI8pfHMqNCA8+ezAWkEgOtSUpxoLfpufe5y0oODyvJ5sP1OdRw0k01J1h18Iv0Or0ua4lAiPixm6K3prB0hu+bNY2AkAbbYmZSiJqfcH6vJWZRFISTDDdC3KveD4qPoXpu/2pX6YQv44umaYn49aOhfJtYfdXcP8MIK9NFv5uQfTe6gAkXixTIL5fBYI932ATdZb3d87i1qOn81AUelJC7Yhc0zhdPbF86vhnlfIlWhDnM5ydee6hrgTtf4Uto+HQL2nD/Hx9JXx8lAQFWePuTq6IQLGnU+zHNPdgqd9tVhy/w7+XQmhS3pnRzcpSr4xTzl9EkD46LWwYgiIlhsBam3n4YQUsHRJJiLRg0TwFvr4SXTrn7uctKBi8oCetPiAoyI+uD5by98a69OrWK0+0RGBgou7DpvfRF6nCX1JP9BEpxP1bl4RQW5YtVuDjIxWoz1tRgIY5pvJ88byXR+E3vs/M/TeJTEjhm3crI0nSc3oiwXtzYH5T+HsgjDgMlo74+ko0b1GMnosD0XQLoFuP4vK5gvzL1a1wci7UG0knz45sG6HDulwIVj7n6VbTjc9/UREUpHpFTyzVT52ULFK+TGt7oCBSoy9U7w2HpkDA3rQfOztDnTq5/0emsI05n7augN/E5kxo48mV4Ch6LjhBt7nHOHBdTLHPEw78CEFHoP002g2snLZbFRSgxNdXFvi8+rwFBQhJwm3AAp6YF8P70mfsP30ZEN8tk0KTLC8atSls8/yRmwnxTHqvIjv+ckjTk4L2eafNSUkv3UujRa1SpDkypkJq8fyFe1kP08uIwLBYlh8LoledklQqZvfqCVaFoPtSiHkIm0aktU8r4iLx9XvluR8Zz4Yz99/49QVGQPgteZO8eC1o+X1adL7FwEfYWZjxw/DiGepJdiMpwkkxBdpPA5dKsGGYvEv2FrCzMGNUM3mK/XcdK/MgMoFBy07RbuZR/rn4QEyxzy1u7IIjv0KNflCjDyAWjYK8Q7Kwx67/ahykeKy2vc/Nh2++iBEYIXu+gfuniGw1gy8PJdKwrBODm5Uo0HqiVKbOSXn1b1ZSig4LEx1w3KCME34Bj7OsCciIKTv9sTBTMq6lZ8YnlagNrX+AGzvh2O9pP25ewYV3Sjowc99NkjRiLlu+JCUB1g0AhVIeKK1SA3A+7BEngh/iW69kWrQkPayeHsuqDbFpPn0FDbUV9FgB2hR5l0yT/NZe2lKtZEBDdw5+6s3UbtVI0mgZ89c5fKYfYt2peyRr3kwABUDkXdg4HIpUhXZTDW2NoIBgXqIaCa2mUF+6zMkln+RKca3ACLiySU7LqD+Kz6+XIVmr48fOBWeyfEY8mziffrqXqRXNp+JdwYXoRA3n3yCacul+FDuvhDC0cWmcbc0zP7nucKjcGfZ9D7ePAPLYg49bludBVCL/XHj4JuYLDM328fDoEnRZCA6lALgeEs1Ha85Rtbg9H/uUz/RyC7WIpBQsCntAp1lw/xTs/vKtv7xapaB77ZLs+bgpc/vUxNpcyYQNF2k69QCLj94mPlnz1m3KL6Q7LT4lEdb2A70OeiwHM0uD2ScoeDg0HERYuR70TVnP4iVzRGQ0H5GunoT5w5YxUKIuu4qNZMflEMa2KId7YWuD2WksKLOoSTFVJ6VRucIoFRIH/ENf+9rpe/xxsDJjcKPSWZ8sSdDxDyhUVp5EHv0AgCblClPOxYalx26LNHEjJl09ObMczq+CJp9CuZYAXHsYzdDlp7E2V7GgX+0snxsrM1GTUvCo/B40GAP/LYALaw1iglIh0bZqUbaNacTywXUpWciK//1zFa+f9/PHvptiiv1LZDgtfsen8PA8dJ4PTmUNa6SgQOLc4w8i7CoyNOxn5m/abWhzBNkgXT1JioG1fcHMksh3F/Hl1htUKmrH8CZlDG2uUZA2JyWDYY6m1tkrFTsLM2q5OXLg+utNUzxzJ4ID/mG836QsdhZm2bvI3BZ6roLk+LRsD0mSGOjlzuXgaM7cefL6b0CQ56SrJ8Fn4N/xULY5+qYTuXg/ktF/nqXt70eITkhhQf/auNpbZHlvUThfUPH5Fty8YNuHEHLZYGZIkkTT8s6se78B60c0oEYpR6YJ0wwEAAAgAElEQVTtuYGXmGKfRlgY6U6Ljzm0As6ugMbjoUI7Q5spKKiYWVBo0FpUKhXeF8az8eQNQ1skyIT09URL0rrRcoFrt6V8d+gJkfHJ/Nq9OmZK8ecfnpuTkk5mcqLGdCMpAN6eLlx9GE1IVGK2ztfr9fy66waFbcwZ0NDt9V7MpYKc7XHvZFq2R+caxbGzULH0WNBrWi7Ia9LTk88+CkO7egB6Gxf+KvE1rX73o+MsPw76h/JBcw+OTGjOOyUdsnX/tJoUke5VwFCaQbelYOkAa/tAfET64bq3SG33QiwZWIftYxvR7Lkp9t9sucz9J/GGMcoICAoCS8cXp8U39DiO9aFPoIx3WktpgcBgOLqh7rEYT8U9VNs/Yu+5cINqiSBj0tOTCY2mY35rC/hMYm9CeTadC2a0t0f63ZgKKKm+WvqRFK3JtR9+Hu8KcreEQzeyl/J10D+M44HhjPEui5X6DSZYVOnyLNvj/GriolQ0LVmKnZdCeBiV8Pr3E+QZL+uJpUskKzsNgrhHjNF8zBe7HmJjoeKHzlU49nkLPmnlib1VNiNrPBuQmigiKQUQ2yLQYyVEBfNw1hDKlEt+NZ3IAFQuZs+s3jXZ93SK/er/7tJs6kE+WXeBgNAYg9llKNzdIeHJswnP9o81LGs2FL1NUei2RO6aIRAYGJVnK5KafEFHhR/HVn9Hu4GPDa4lgld5WU8aRN/kq1o/kejRhYjqI5i48RIVXG0Z7e1hWEONDEWmhfM6zE003QvAs4gtRe0tspXypdHq+GnHNdydrOhd7zWjKM/j8x24N0az5SPea3iGNdOd0Wj1fLH4zpvfU5DrvKwn45M30rTYUT5LHsR5bRkW9q/NplFe9Knnhr1l9p2TVFKd3KzqlU336SvolKxDTJNfKRq/n58GjXghncjQu6Blnk6xP/SpN/0auLH90gNazjjMiJVnuHS/4Eyxf36id9LahsxmLkXsIlH2/lPuMS8QGAmxVT5lc1BbvrRcQctOi7HvdtQotETwjOf1xGlbaWbbzSDGogLm3f/gy82XiU5IYUbPd1CbaEvdN6WgFs6DnJbdzNOFowGPiU3KfLG44ex9bjyKZUKbCjn7DilVPG6+jAdRhVnXswelOuxGn6Jk7+37PHwkuoEaC8/rScsTkYy028RyTUsiy3dnz7gmtKxUJEf3T52TItK9CjDXrQeyzL8fY+w30FFxDLVLDJYOiQQFGdoymWIOlkzqUBm/z5ozupkHfrce02HWUfotPsmJwPAC0fHD11ci6KaCC19/S6MSx1F1mQWuVV84x9DpegJB0B2JD4/OJEBfnNlmM/FwuYWlY7zRaIlAxtdX4s7VeI4MGoyDPTiM+JNNVyLZcTmEca3KU7GondCTl0iNpKQ7J0WjM2knBaBnnZLEJmlY5nc7w3PikjRM232DmqUcaFvFNceveftRYQYeXISTMoo56t8xN09CaZ3EphOv32lMkHf4+krcP3aROd7jOKmrgF/ZT5jdp2ZaFCQnWmJhpkCSRLpXgcbdHT7aOZUTiZWZYjafCpEhJERa4O5uaMtexMnGnPGtPTk2sTmftanAtYcx9Fpwgm7zjrP/+iOTd1acgxbhcncZNPoYqnZ74ViG3b8EgreIuzs8DnNiYMg3ACwy+xX76pdxcxPfR6NCp6Pw4eFYxd1A0XM593Bl0pYr1HUvxLDGZYSepINKmcnE+RStyQ5zTOWdkg74VHRhweHADLtvTtp6hbDYJL5sXylX5uq4u8PJW3UZF/4h9RTXmaRZhTZOzbFH93J8b0EuEvMIm399CdXZsLjot/zRry7mT2u0cqolkiRhaaYUwxwLMs7OMHeOBb2WbSQszoXF1lNZNSsUZ2fj3J23tTBjZLOyHP3Mm/91qkxIVCKDl52m7e9H2HrBRKfY3z4MOydCudbQ/OsXDmXU/cuYPjNBwSA19H9xbTcG71pMGSmEedW+YPPVm4Bx6kmB5MBk8P8XWv+Ixq0JH645B8C0HtWJCJeEnqRD6jDHgpjulcrHLcsTnahh8ZHAV45tOnef9Wfu84G3B7XcHHPl9VL1ZPnKL/jt4hj62uzmp+InOHY7lAeRCUJPjIGURHRr+qCNC2e88jMm9/FOc1Bya21iaaYUwxwLOr6+EqcuuRLVZg3FHKPonNCbdX/GG/VumoWZkn4N3Dn4aTN+7V6dFK2OsavP0XzaQVb/d5ckTeZf6nzD4wB5YKOTB3Rd+EqhfHrdeowpXU9QsPD1lQgKUPLFH22Ib/ITLZVn0e/9lolzgo1aTwoMF9bAkWlQox/Ue5+Z+25y9m4kP3SpSslCVkJPMkChyDiSkpCiNdk5Kc9TuZg97aq6svjobYIjn3XZuh4SzVebLlPXvRBjW5TL1ddM1ROvid+T5N6WPknTaSxd4Oul94SeGBq9HrZ+gCL4FOOSRzC853u42D2bfZJbWmKpVmY5J+UNesgJ8hvOzuDsUw2KL0S/ti/KGyNw6DoYM5c41KG2DB3hhY+PEmdnQ1v6ImZKBd1qlaBLjeLsvhrCnIO3+HzjJX7be4NhjcvQu16pN2uDaAzER8DqnrJj4rsGLOxfOSW1u4Y61Ba1SwzJobZGma4nKDg4O8v/0A9HG3+d988sYcK94jj0aouZY4JR64lJc/cEbP0A3BpB++kcD4xg1oEAutUqQcfqxQChJxmRUSRFr9c/HeZo+pEUgHEty7PvWigtpx9iZNOyhMcls+rEHewszfit1zuo8mCujqwnSqi+EJa0YW7oH7wbVAz7rg9Ru8QKPTEUR36FS+uYltKNIg164e3p8sLh3NKS7ERS8ukKT/BGVHyX+xW+pSuTeKCRmKbp8ZwHbG20IqBQSLSpUpTWlV05GvCY2QcCmLz9GrMPBDDYqzT9G7i/Vn9ug6NJhnX9IfIu9N8KhUqne1pqSHzoCC8sHRJJiLRg0TyF0X5OggKEJKFsN4WI24FMDl/CPSdnjusq5ws9MTkibsOaPmBfAnquJDRBx9g153AvbM13HSunnSb0JH0y6u6VpJE7TRUUJ8XDxZbdHzfhp3+vM23PDZQKiZ51SvKRTzlcbLOeIJ4jzG3BdzX6Wd4ss59MZ8vvCcde6IkhuLIJ9k9mr6oJmyx6s7u15yun5JaWWKmzrkkRTkoBw6L5hyz7+yYfVF3FXb0Lfz7skG920yRJonE5ZxqXc+bMnQjmHLjFtD03mH84kD71SzGkUem8F9OcotfDtrEQdAQ6zwe3Bpme7usr4eOjJCjIGnd3hFALjAelGbouy7k1pSXzHGfQNflbroZ55hs9MQniI+DP7qDXQu91aC0c+XDRSWISU1g5pC7W5i/+iRd68ioZpXslpchOirmJF84/j5uTNfP61eLKgyis1SrcC1u/vRd3KEV8hzU4b2zHQtV0fDVfEhPqJPTkbXL3JGx8n2Db6owOG8yCwdUyzFbJDS2xEDUpgpdxdpGw6DqDfXea8aNyCbVOJefL3bRaboVYPLAOOz5sjHcFFxYeDqTRLwf4avMl7kUY8RT7Q7/AhdXQ7Auo3itblzg7Q506YkEhMD4Kl3DgRu31JCZas9RsKkXUEcz4I0V8V98GmiRY2xci70Cvv6BwOWbsucHxwHC+71SFCq7pT5UXevIiz9K9Xvx54tPaR0t1wYikPE/lYvZv10F5inP1Oiyw/J53lAFMC1tD9IYG+XJ9ki8JvwWre5FsU5TOEaNo+447Tctn/ovPqZZYZaMmRTgpBZBevdVUn7ySFHtPtvQaiG+zS4Y26Y2pWNSOP3xrsP+TZnStWZy1p+7R7NeDjFt3npuPjGyK/dkVcPAnqN4bmk4wtDUCQa7Qqb8b6v7rKKqKZZXz9+yMOJRhK1NBLqHTwab34Y4fdJoDbg3ZdSWEWQcC6FG7BD1qlzS0hfkGxdNVkPalSEri0x1eC1XBc1IMSYch/fhB04d3S+4kdOlX+GZvL0+QE2LDYFVX9MB49dckqQvx1buV8vxlLdUikiLIgMLF7bAath6FpT382Q2eBBnapBzhXtian7pU4/AEbwY0cGfHpRBazjjM+ytPc+FeZI7vn+OWiP47YdtHULYFdJwJudBrXiAwFhwr10TVawWVFHf5OGIyw5ceIy6LCdYFmRzpiV4Pu76Qc8dbfg/VuhMQGssn6y5QvYQ933eqkuv2mjKqp16K9qVQSmJKwapJMRbKONtwxa0va1UdsLo4D/x+N7RJRk+O9CQpVl4DxoSwr+Ystt6z5PO2FShsY57rdr6MpZlKRFIEmWBXDPpukNMGVnaRvel8TlF7S77pUAm/ic0Z26Icx2+F02m2H30XneTYrcdvNBgyxwPQ7v0Hfw+UJ8n3WAHKfFTkLxBkl/KtkDrOpLHiIr0f/sywZf+l7UYLnpFjPfH7DU7OhXojoeFYohJSGL7yNOYqBXP71hKL6tckLd3rpY8hLZJSAFoQGxu+dUsxMbYnj0q1h72T4PxfhjbJaMmRnmiSYV0/CLlETMdFfHrcjNpujm8tEmupVohIiiALXCpA77UQ/QBWdYHEKENblCsUslYzrmV5jn3egs/bVuB6SAy9F56ky9xj7L2a/Sn2OR5aFHJZ3qWwKwp9/gZzmzd/UwKBsVOjL7T4hk7KY7S+P4P3V5w2nblGuUCO9eTMMtj7LVTpKg9s1OkZ89dZ7kXEM6dPTYo5WOah9aZJarqXTpdBupdw+t46basUxcnGkm+k0VCmGWwZA9f+MbRZRkeO9ESnhY3D4NZ+6DiTr68WJyZRww+dq6Y1k8hrrNQq4pMzj7gLJ0UApepDz5UQehVW+0JKQtbX5BNszFW83/TZFPuwmCSGrpCn2G85H4zm5WrJl8jR0KKIQNnxM7OG/lvAxiXrawSC/E6jcdDwAwYod1Pz9lxGrjorHJWn5EhPLm+UU0Y9WsJ780Ch4LttVzly8zE/vFeVemWc8tJ0kyWtBfHLNSlpLYjFMulto1Yp6F23JLtvRHKv5SIoVgPWD4LAQ4Y2zah4Yz3R6+Gfj+HqZmj1AzvNfNh8/gGjvT3wdLXNa7PTsDBTpqVVZoR4+gQy5VpClwVw55jcc1+TZGiLcpXUKfYHxjdjWvfqaHR6PlxznhbTD2U6xT51aFFyqPzgZntoUeRdWN4RtCnQfzM4lAJyobZFIDB2JAla/g9q9OND1SbK31zEKOGoADnQE/8d8q5nqfpyyqhKzeKjt1l54g4dypXB210Uyr8pigyGOaZGUsxF4bxB6F3PDYUkseJsmJyF4OQhb6LePWFo04yGN9ITvR52fg5nl0PjTwivNowvN12icjE7elX1eKvrE6tsdM4TTorgGVW6Qsc/4NY+WDdAzlc0McyUCrrWKsHuj5owr28t7C3N+HzjJZpMOcCiI4GvFPumDi2K2uBF7OpmRG3wyrolYvQDWN4BkqKh3yZwloch5TgXXSDIL0gSdPgdqnRlotkaSt1czvsrzxT4GpU30pOAvfLwV9dqcmqu2ortFx8y+Z+rJAUWYfXkkkJPckBqJEWkexkXrvYWtKnsytpT90hQ2UO/zXLa9KpucP+Moc0zCl5bT/R6OV30aU2b3vsrvth0iZhEDT421fHw1L/V9YllNp4t4aQIXqRmP2g/DW7sgA2DTdJRgdQp9q5sGe3FqiH1KF3Ymsnbr+H1y35+33uTyPhn79vXVyIoQMmO9dYEBSjx9c0kXzPVQYkLh74bodg7QC7kogsE+Q2FUh5YWrEDk8xWUirgTwYtPVXgu369lp7c2i9Htp09od9GsLDnZGA4H609T/JDBySbOGx6HhJ6kgOeFc6nP8xRpHsZjv4N3IhO1LDx3H2wLQL9t4JVIVjVGYLPGto8oyDbeqLXw4Ef5MYbtQdDm5+Yd/g2u648YmQjT7762Pqtr0+yM4NIPH2CV6kzFNr8Ate2yV2pTNRRAXmKfaNyhVkzvAEbRzWktpsjM/bewOvn/fz07zVCoxOBbA4tigqGZe0hJgT6rocStdMO5SgXXSDIryjNoOsS8GzH92bLqHh3Ff0WnyQqvmDPUcmWntzcC3/1gkJl5V1kS0cu3Y9iyPLTuFhZknS8MmqXWEDoSU5QZBRJ0YhIiqGpW7oQ1UrYM/9QoFw/al8cBmwDC3tY8Z6IqDwlSz3R62Hf93B4KtToB+2mcfBGGFN2XadD9WJ4OZU2yPpEpHsJ3pz6I6Ddr+C/XZ5qnJJoaIvynJqlHFk0oA47P2pMi4pFWHgkkEZTDvDlpmxMsY+8C8vaoYsJ42rtTYRZ1n/h8BvnogsE+R2VGrovh4od+Ea1kroP/6TH/ONpGwCCdPDfiX61L3HW5Xn87jawLkxAaAwDlv6HvaUZ833rkfDIVuhJLqFUSGheclJS5zcIJ8VwSJLEGG8P7kbEs/XCA/mHjm4w8F+wcoSV78Hdk4Y10tjR62HP13B0OqGlBhHWYCbXHsUydvU5PIvY8kvXqpQuLRlkfSLSvQQ5o+4weHcG3Nwtt9FNer0J7vm1SLyCqx0z06bYl+Dv0/dp9utBPl57nhvpTbEPuwFL2pAc9QTvFRtoMrzyKzmdb5SLLhCYCio1dFsKlTszUfknnSKX0XWuH4Fhsdm6PL9qyRtxaT261X04+6Ay1eetwa2qAzOXxdBn0UmUCok/h9ajShlLoSe5iFIhpTNx/mm6l0oskwxJy0pFqOBqy6wDAc+aGziUlB0Va2fZUbm1/7XuWWD0RKeFfz6CY38w7/xQKn0/GY8GUXSZdQJrcxUL+9fGSq0y2PpEpHsJck7twXJe+Z1jcreq+IhsXWYKReLyFPuqHJ7gzaCG7uy6EkKrGYcZtuI051On2D84D0vboEtJpsnybdz0Ssowp/O1ctEFAlNDaQZdF0ONfoySNjA6cSHd5hzlzJ3MNcUUtCTbnF6CfsNQ/O7XxTdlIpouF7DvcYSpp0+SnKJn1ZB6uBe2BoSe5CZKSUo33UulkFApxTLJkEiSxAfNyxEYFseOyw+fHbAvDoN3QqEy8FdPuLolW/crMHqiSZY7Ap5ZxpST4/i+UEdseh3CoesxYiOVzOnWgJKFrNJON4SeiEiKIHeo3hN6roJHV2BxS3gSlOnpplYk7mpvwVfvVsLvM3mK/X+3I3hvth8/z5qFdkk79GaWXK63iwCtR5Y5ndnKRRcITBWFUu4g2GAMvfQ7+FUxk4ELj7D94sN0Tzc1LckQvR4O/Aj/fEyUc0t8D6wk2VlON1I7xSGpdHzlVf+VGQZCT3IHpULi5ZFZiSnabC2iBHlPmyqueLjYMGPPDZI1z31QNi4w8B8o+o7ckfS/hZnep8DoSWKUnP1yeQP3KnzHlGufpNWvSQpIPFAdTaTVK5e9bT2xUquyPEc4KYLsUaGdPJAw7jEsagkPzmV4qqkWiTs+nWLvN7E5S9+5wfjH3+CfXJjByp+4YW5NwhNzkSMuEGSFJEGrydBqMs21fqyxnMLnfx3m97030b+UcmOqWvIC2hR5ovahX+CdvqR0/Ysnjx1JiZAXEXqtROSWujSp/vaGrBU0FBLo0kn3MhdOilGgVEh83rYCt8LiWHz09osHLR3ltYlnW/h3POz5BnTpDwgsEHoS/QCWtoM7fvDePKLrjsCs7rW0w8lhNsQHOxrF2kREUgS5i1sDGLIbVBawpG2G4VWTLhLX6bA58gPe179Fcm/EpVaruZlgw/gtZ6jysR+JF0sTu6aJyBEXCDJDkqDhB9B1MZV0N9hr9z827zvEmNXnXmhRbNJaAnL67MrOcH4VNP0MOs3C2dWMz399gtImCV2sBRFrGjH/R3uhJXmIHEl5uQWxVrQfNiJaVCxCq0pFmLnvJvefvNTIRm0FPVZC7SHg9zv83R+S4165h8nrSfBZWOANT4LQ9lrL0rj69Fx+COuyj4k95kns6qZErW9kNGuT7NSkZB1rEQiex9kThu2Te/ev6w/eX0GT8YQ9lggKkkUgtQhr6AgvLB0SSYi0SPehCAvjhWuMnqQY2DQCrv8DtQaibPcrPZVmdG1QkW0XHzD34C3sfC5SxNqKwQ3K0LlpCUDsxAkEGVK1G5J9CZzX9GGn9bcMuzyGLo9i+al9LbRR1ri7m6iWAIT5w+peEHUfOi+Q02qBjWfvszzoImWLWvNZvXrUmmSRf95TPiXdwnmNVnT2MjImdayMz7RDfLftKgv7137xoFIlz3hz8oDdX8KSNuC7GuxLvKAPJqsnlzfC5lFg7cz5luv4bLsW/0dXaVLemf91qozVOGuje0/CSRHkDTYucq/ybWPhwGTunTpH3V9mk2KtJuGJ/ND7+kr4+CgJCrJO96FYvVrP0BE6LB0TX7jGaAm7AWv7og+/yb1KP2NZbwTOStlelVJB5xol6FS9OHuvPWL2wVv8tPcyi0/eZFjjMvSuVwprc/GoCQTpUqo+0rD9mK/uxXLtL0yP6MV7c+NJOuVJ7KVSLJqnICjAhLQE4Mpm2DIandKS6/W241ysLk46PTP33+S3vTdpUMaJef1qYW9pZmhLCwSKdArnE5JFJMXYKO5gyUc+5fhpx3WW+t1mkFfpF0+QJGgwSnZU1g+G+U3YX2gJHT5p/II+BN5UsPtMEpejg9gSFc28qYkka3RULGqH9MSOdVOLY66W8oeeaDWwdxIcn0WkfV0m233O+g2RlHC0ZF7fWrSuXATp6cBSY3FOUslOupf0cg5wblC7dm396dOnc/2+AsPzwg5DYT2x++Zhfugr7upc+EA3hvOPqhK1wYugAGWGD0RYGLh7aLHv6ofaJYbkUNssrzEolzfA1rEkai3ovGYxp+LqZCpeer2eY7fCmX0ggGO3wnGwMmNgQ3cGNHDH0VptgDcgI0nSGb1eXzvrM40LoSemywt6YhdL4t8fYBGwkV0ptZmgHU5EvCMRq5oR5K9OVxvynZZokmHfd3B8Fo8t6tDgjyU8MXMiMVZF008ucSXqEV1qFufnLtVQG3nrW1PSkwY/7aORR2Gmdq+e9jPfBSdI0epYP7Lh2zZRkAk6nZ6Rf55h99VHLOhXm5aViqQde0FPpAA0f/ZBCr/B1OjeLLBoQ2KoHck3SlC+3R0eRCdgrlJQtbg9RR0sUSkkLt6LJiA0BiTZ30kOsyFqfSPj1ZPoB7BhGNw5ysLA3vzi9C4pKgmfYmWZPcYjX0QCy3+1g5s/tMtQS8T2riDbpLdjeevWCPZu8mRt10Fs4ht+KerLTIeaBAXZZPhQZ1y8Zm1cQpAUCzs+g/OrSClSh6qTlxDXOggbl4OoQ20ZOsILH59XxUuSJLw8CuPlUZhzd58w5+Atftt7kwWHA+lTrxRDG5ehiJ2FQd6SQGAsvKon1ty6vZiIQ+/wc5Pv2KGayEfSaI73NOPA+Zr0aGn/yj3yjZYAhN+Sd3cfnieh6jA8hv4Pq86nsHG5hJVGweUnesY1r8jY1qXTdj4Fb4f0alISNVpsRATc6FAoJH7rWYNeC44zdvU5Fg2ojZdH4XT0pCx3o/dS6uYYJnquoon2LB+7jOKRSyz26kJ82rM8LSu5vvAZnzoF7QaEY93xBABq51isSkYQFORsfHrivwM2j0KXksgHt75me/GKAGjCLVmzwIOf+yqxMDab0yGrqfPiCRRki+db96ldYlCH2jJkuBfoIVHTiBbBs/it6DS+MVtJQ+/7lHGaBZRI916pxWvqUNu03U+jK167ewI2j4SI29B4PBdsJvLELBkbl0tA9hdDNUo5srB/bfxDYph7MIAlfkEsP3aHrrVKMKJpGdycrN/SGxIIjIfM9WQkVz1tmOvyC6vVPzDfriPfHojikaIyI5qVxey5uRX5Qkt0OjizBHZ/I8+K6fknl2PfRWUfm+ZcKVQ6EvZXp2H3Egj/5O2T0TBHJ2vj34kuiFiqlSwcUJteC07QZ9FJetV054/R5bDveuIFPVHa6VGVn8BZdxe+Uy9np3oi40/8j59XtcPZ5dUHzd0d4oMdMHuqJ3qdhKXPOSJUtQCnt/4+0yUxWp4gf2YZWpeqjIwby+7iz9YRZk7xxrtRkw5ZpXwJJ0WQLdLbsVRbJyOZ6bCu6c+1P1vT3r4xQ93XMqPNt6jXNpDbjNboB4oX0xayW1hvEJJi5XkFJ+aAfUkYsBVKN8EtDBKeKN54MeTpastvvWowrqUn8w/f4u/T91l76i4dqhdjZLOyVHC1y9O3JRAYE1npyZ7l/ahduA1Tav3IqHdW0Vl9jlF7B7P9Uk2mdKtGtRIOgJFrCcibHNvGwu3DUKYZdJoN9iWwv5OEqrZ/2mnJj62J9S9qXM5VAUIpie5e+Q0XWwv++aARv+y4zvLjQRQedA/J7OlsIZcYCvX0Q1U4Br0eVtzqxt67HZlX9RsWN/wYDuyHdr+CresL93xZT5K0OioMOcPYDf+x2qk+NUs5GuCdPkfAPtj2IUQHk1RnNL6BLbn4JIHofVWwqBpkvBs1mZBV8bxwUgTZIr0dy+Q4NZIElk6xFBt2iITbTiw9OJTvV7XC6cgY+Y/z+T+h/XRwrfLC/bIqrH/r6PVwbRvs/Byi78utDFt+B+Zyq8LcWgyVcrLih85VGduiHIuP3mbViTtsOf8An4pFGO1dlhqGFkGB4C2QXT35YN9Mun7VmaKHx7IpeRKbo30YMLs77epW5tPWnjhYqY1PSwBSEuHYTDgyDRQqePc3qDUQPfDvxYd8s+Uy1uVSiDpeDoKKkfDE0ricqwKGQiGlMydFdPcydqzUKr7rVAWvUsXo93Uw5hXuo1Dp0GsldEkqYo+XR10uGLVrNPcSnPBZu5OHf8/B5r8fIfAQeH8JdYbKncGe8rKeKCwb0HnOMYYtP82mUV6Ucnp1CGKeE/0Adn0BVzaBUzmiff+h1w4dAaGxzO9Xi9CqLgwdUdw4N2qyIKtIiiicF2SbtJzP5x4E4JWf+fpKcorDhdVyWDIhEmr2h2afg22RLF7FADy8ALu/htuHwKUyvDsdStVP99Tcbk0YGZ/MsmNBLDsWRPTWgWkAABPiSURBVGR8Cg3LOjHa24OGZZ1yPS/dlApdBfmf19KTpBg4+DP6E3NJUFgzPakTW83aMtKnEn3quRlPkbleLy8k9n0HT4Kgcmdo/SPYFSPocRyTtl7h0I0wqhS349fu1XFS2hldW9DsYkp60nrGYdwLWzG/37O3U+P73bSvVpTJ71V92yYK3oDX0pPwW/Lgx1v7waUStPwePHzIKNfyVlgsXeYcw8lGzaaRXthbvaWue8lxcGyWPPtFp4Em40msO5q+yy5wMTiKhf1r07S8LBz5sm0y0H3eMdaP9MpQS4STIngt0nsQMn044iPg4M9wejEozaH+CKg/GqyNIL8zzB8OT4VL68HSQR6mVmeonDf+lolL0rD6v7ssOBxIaEwS1Us6MLpZWXwqFkGhyB1nxZQWFQLT4LX15NEV2PUlBB4gVOnK1MSOnLZrxdhWFelQrRgqpYGcFb0ebu6BQz9D8Bl5s6P1ZCjbnCdxycw+EMCK43dQqxSMa1me/g3cDGdrLmFKetL29yMUd7Bk0YBnb6fi1zvpW78UX7av9LZNFLwhr6Uner08kHrvt/DkNpRuAk0ngrtXuvc+GRhOn0Un8alYhLl9a+Ztc4uUBDi7Ao5Mh9gQqNgRWn6HzqE0H649z7YLD5jduybtqxXNOxveEv0Wn2TV0Pqiu5cgd3B2fnXhkN7P0rAqBO2mQL33Yf//5IfuxDyoNRDqDoNCpTO4MI/Q6+HeSbnm5OpWMLMErw+h0ceyo2IgrM1VDG1chn4N3Fh/5j7zDwUyfOUZyhexYVQzD96tVjTfL2oEgpd5bT0pUhn6b4aAfTjv+46pDxfwKHEzc9e3YeGeNgzwrkqnd4q/vTQdTbK80Dn+hxyRtS8FneZA9V5EJmpZvvcmi44GEpekoWvNEnza2hMX0dnP6FAqeCHdS6/Xi2GO+ZDX0hNJgsrvgWc7OL1ETs1c1g5KNYSGY6B8G1A8+/zrlXFiQhtPfvz3OqtO3KFfA/fcfwNx4XB2OZyYC3Gh4OYFPVdCyboA/LbnBtsuPOCzNhVMwkEB0d1LkEe8dmjRqSx0XwZNr8ticHKe7CiUawU1+kC51mCWh3+848LhykZ5dyLkIpjbQ+NxxhPVeYq5Skmfem70rF2S7ZceMufALT5ae55pe/wZ3qQs3WuVEH84BSbFG6UpeLRAKtscbu7B5fBUvr2/gvj4v9m4pSEjdjSnaj0fetYtRQnHPMofD7sBF9fAuVUQ+wgKlYWOs6B6L24/SWbVv/6s+e8ucclafCoW4dPWnni62uaNLYIc83LhfLJWh16P0Np8yGvriUotZ3jUGgBnlsu1ZGt6yxsONftDtR7g6AbA0EZlOHYrnP9tv0Ytt0JUKpYLDW90Ogg6IqfHX94I2iQo4w1Nlr0Q1dl37REz992k+9POoKaClTpzN0Skewlem1yZ8Bz9AE4vlXcNYh+Bhb28c1G+NZRtDpa5UED+5A7c3A03dkHgATmn06Uy1B0KVXuAuU2mlxtDjqdOp2ff9VBmHwjg/L1InG3NGdqoNH3qu712D39TSs8QmAa5Ni0++Az6/xagu7wJpTaJIH0R9mpr8ci1GRXq+NCiakkcrHIwSFWnlSMlN3eD/7/y/0sKOY+97nCiSzRh99UwNp8L5mjAY1QKifbVir7Quc8Y9CQ3MSU96TzHD2u1ilVD6wEQlZBC9e9281X7igxtbDoLQlMnV/REqwH/7fDfQtl5AChZL219Em5VlrYzj+JgZcbWMY3ezJFNjoc7fvLaxP9fiA4GtS1U6w51h4NLxRdOvxcRT/uZRyhZyIoNIxsSE6k0GS35fOMlfu5aTdSkCHKHXJ/wrNXIBeuX/pYf2IQI+efOFeUQZ5HK4OwptwO2LQrql3ZG9XpIjIKYEDmvNOw6hFyCuyflLl0AjqWhQnuo3gtcs1cEmWuLp1xCr9dzPFCeYu8XEI69pRkDGrozqGH2p9ib0qJCkP/Jk2nxidFwbRsJ59Zhds8PlT6FJL0ZF/VleGRbBcsSVShZrjruZcqjtnd9tf5Mp4W4xxDzEMIDZD0JPgv3T0FSNCBBidroKr1HYJE2HH6o5NCNMI4HhpOs0VHC0ZKetUvSs25JXGyfRYaNTU9yA1PSk+7zjqFSKFg9XG6Y8ig6kXo/7mPye1XoW9/NEGYKXpM80ZMnd+DSOjk1POSi/DPLQjwu9A4rgxxxq1iTLi2agF0xsCz0yrgFNEnyJmxUMDz2h9BrspY8vCBvmppZyVGTql2hfNtX1zdAkkZLt7nHCQqPY/sHjfHbbWlSWvK/f67yTYfKoiZFkDvk+oRnpQo8Wsj/dFr5Ab59BO6dQHdlC4qzy18631xOC1OYgTZZLjDTpbx4jl0JKFkHSn4g39fJI8OuHenx/KA5pU0S3HZiyPDq6U6Xf1tIkkTDsoVpWLYw5+9FMudAADP33WTRkUB615Wn2Lvai1x3Qf4hT6bFW9hBjT5Y1ugDSbHoAw8SfeUAxYOOUz12K2r/DfBsPAnJkgU6pTmSQoFKl4xCm4Ck16Ud10tKEh08eFy8LUHW1Timr86FJ2Zc2hVFTJJ8ozLO1vSt58a71YtSo6TDKwW1qXpi0/4/FGZalClKho6oa1A9EbyIQvp/e/ceW2V9x3H883uec3p6OS0Xe0opA8q4bFBRLlIRiImiEqdTo3EKE2LACXObW1zM5iRTNxen0+0Psy0gznlbdXMzMcvUbXFTBsJqALeJgiDlJnITkNJz2nN59sfpoadQWtqe9nlOn/crISG05/QX0ueb3+d8f5f2lznG4un7NljulT/6pJ4MGS1dfHf6z2cfp+8p2bVO5bvX6dvBf8ja9kdpW+v3Gju9xzUQkpxU+hjyRLT9+wWKpKop0qxvSaPnSNVzulzm/vCrW/Tfvce0YuF0FaWKdduypKfmJr3FZY7IqT694dmy00f/jpqZ/uTxp0kNH7JX1cHtGjdip4YFDuvmLx/TxPHN6YASKEwXhJJI+lKmwaPSXZfCQb0aRqbYxQ+Htb9upgKDooo3O1qx0tHye93/xGLKyMFauegCbd1/XL/+53Y9tbZBz7y9UzdMH6GlF49VdTm32MP7+vy2+FBYZuLViky8WnV1jhbfFtfo8i2aPGmDRpbv0Xnj9srWcTmxqCylFFOBmhTSQWewDjiD1eBUaoczXC3RoLQv/ZbhUJPGRkp0zZQqTR01RLXVQ7u8N6GhQbJCcR16eboCg6JKHCtScUlcDQ35O7EYaGzLqCXRFk5j8fTfu5pAwTv6vJ6UVUnTFkrTFqquztHX7zum2gUvaUxwn0o2DNWSGw6rZkJUSsRaA0theglXaWX6teXj0/tcTu22dOLvm/frN2t26NZZ1ZpXU6n6em/PTXqCyxyRU/1xw3PbJ4/12vHydDXN36ltFRVqOTBWj/6wl+3bs1BdLTUdLlTs9XNVuWDdyYL30MOztfR270wsJgwr1S9umqK7Lp+gFW9t1+/f2aMX63fr6vOqdMcl3GIPb+uv2+IPHpSW3J5Sc1L6bO4R1VeUa82BMVrx2Gw1bLcVKo3r46NRHTreok+bWjQ8nlRLMqW5lqVQ0FI4FFBFaaGGlYUUKQ11++jRcFg6cSSoyoVty1A+eXa2wp1viUM/sq0zdVI4UTFf9Hc9icWL9V7LWG0ND1dySlArli9Tw/bczQ/2HYvq7pfeVU1Vme750hcl5c/cpDvopCDn+vqG50wnwwomFRgU7XX7trsbViMR6Qffs/TAz09pHQ/pZeu4j4wcWqwHr5usOy8dryfX7NBzb+/UK+9+rMsmVuiOS8ZpGrfYw6P647b4hgapINyipNPS7nkOlqWf5xkzgiqrDEqVXb9XTza/NzZKpRXta0k4ElNjIx1Pr7CMUSrFcq9819/1JDi0SZJkF8VVPGm3GhqqczI3iSdTurNuo5oTKT0+f6pCgfTvYb7NTc5GV0cQ8zEBeiQSkWbM6JsikGnbpuK2EseK1HIgfXRnT9q3dXWOqscldeWNJ1Q9Lqm6urM7KGLpUqOCRGGvfnZ/qygr1D1XTtTa78/VXZdP0Ds7j+j6X63V/JXr9K8PD7k9PKBDfVlLpHQ9aWksUPxo+1oS/6x/akl1tZRobF9Lkie8XUv85rROSuvSLzop+ceNepKKWyq6cKvC5bGzfp/O6smjr29RfcMRPXT9ZH0+0r7lmo9zk86w3At5p61tW6viknh6aUQkpuSJ7rVvszfAF1QcV8GBUt22bPZZbTKLRKRVK/q+ddwXBhUHdefc8VoyZ4zq/r1LT6z+SLc8ud7tYQGuiESkJ1daunWJ9Mlzs2SXNMtuKdRTq/qxlvTDMhT0nGWMkm1bUhRtSXdSMp9gAxkd1ZOCkoSqFr2t+17fqOe/dqGCXVy83Fk92XRwv1a89ZFumTlK104Z0eHPz9e5SUfmThzW6dcJKfCktratrXBYamzsfvu2t6d99EfruC9l32L/pw17teBht0cEuCPzLG/cKEkBTZ1KLUEb21K75V7NiXRI6epTXvhTR/VkzZ7J+s6Lm/TIax/o3qsmdfr6M9WTN99N6v7Vm3TuiDIt7+Q9BlI96eq+N0IKPCsS6d3Dl4vTPno7Bi8IBWzNrx2lBW4PBHBRJCJdcUXPXkstGdgClqVEKvt0L/akoHOn1pPrIiO0YdcRPbF6hyZ/brCuOb/qjK/tqJ40t0g/W1+vcCigVYtmdPm755d6QkjBgMUyCwC5QC0Z2CzLKKuRcvII4sIAe1Jw9pZfNUkf7Duuu17cpOKgrcsmdbyU6dR6EotaOu8b7+hoc1x/WHYRd55l4QnEgDZ/vlHDNluvvlSihm12Xt/MCsA91JKByzZSktO90EsFAUurbr1ANVVluuP5DXpz68Ezfm+mnjzztNH0767XoXijfvnVaaqp6t09bwMNIQUDXl+f9gHAH6glA5NlmVNCSuZ0L0IKuqesMKinF9dqXEVYi39br8f+uqXdRaHZ3j9yUA+sXatPo816dnGtLvlCRT+P1vtY7gUAAHzLNkaprCOIo/GkgraRbdEtQ/cNLi7QC0tn6oFXNuvxN7bpb5v368YLRuri8eWSpO0HT+j59Tu1+sNDGn1OsZ5eXMvly2dASAEAAL5ln9ZJSdJFQa+UFQb12FfO1xU1w/TIax/ox3/e3O7rg4qCWn7VRC28aDRHXXeCkAIAAHwrvXG+/RHEhBTkwryaSs2rqdTuT5u0dvshhQK2xpSXaPywsIoLmIJ3hf8hAADgW7Y5fU8Kt80jl0YOLdZNQ0e5PYy8w1MIAAB8y7aMEqcu92IJDuA6QgoAAPAt2zLtbpyPsicF8ARCCgAA8C3bMko67TspRYQUwHWEFAAA4FuWMUplXWURi6cUYk8K4DqeQgAA4Fu2pdM6KSz3AtxHSAEAAL516ulezYkUIQXwAEIKAADwLav1ZvnM5vn06V5MjwC38RQCAADfsk06pGSWfHG6F+ANhBQAAOBbmU5KMquTUlRASAHcRkgBAAC+ZWeFFMdx0jfOs9wLcB1PIQAA8K2A1bbcqzmRPos4xHIvwHUBtwcAAADgFsu0bZxvbr0whT0pgPsIKQAAwLeyl3slToYUFpoAbuMpBAAAvmVlLfeKtiQlSUV0UgDXEVIAAIBv2SeXe0mxRDqksNwLcB8hBQAA+JbdOhNKtp7sJbHcC/ACnkIAAOBb2RvnY/HWTkqATgrgNkIKAADwrczG+URWSOEIYsB9hBQAAOBb2ad7ZUIKG+cB9xFSAACAb2VCSoo9KYCn8BQCAADfypzuld1J4XQvwH2EFAAA4FtWB8u9CCmA+wgpAADAt07ek+I4iiVY7gV4BU8hAADwrY42znMEMeA+QgoAAPAtK2vjfDSeVEHAOvlvANxDSAEAAL7VtnFeao6nVBhgagR4AU8iAADwLat1JpRIpRSLJ9k0D3gEIQUAAPhWoDWlpFIipAAeQkgBAAC+ZbfOhJKtlzlyshfgDTyJAADAt6zMEcQpR7FEUkV0UgBPIKQAAADfyj6CONqSVIiQAngCIQUAAPhWppOSbL3MkT0pgDcQUgAAgG9lOim7Djdp39EoRxADHhFwewAAAABuyYSUn/zlfZUU2Lq5dqTLIwIgEVIAAICPnVNSoMKgpTnjIvrRtTWqGlzk9pAAiJACAAB87JxwSP+7f55sy8i07k8B4D5CCgAA8LWAzT4UwGt4KgEAAAB4CiEFAAAAgKcQUgAAAAB4CiEFAAAAgKcQUgAAAAB4CiEFAAAAgKcQUgAAAAB4CiEFAAAAgKcQUgAAAAB4CiEFAAAAgKcQUgAAAAB4CiEFAAAAgKcQUgAAAAB4CiEFAAAAgKcQUgAAAAB4CiEFAAAAgKcQUgAAAAB4inEcJ/dvasxBSTtz/sYAemO04zgRtwfRXdQTwJOoJwBy4Yy1pE9CCgAAAAD0FMu9AAAAAHgKIQUAAACApxBSAAAAAHgKIQUAAACApxBScBpjzAxjzH+MMYXGmBJjzHvGmHPdHheA/EM9AZAr1BN/4XQvdMgY86CkQklFkvY4jvOQy0MCkKeoJwByhXriH4QUdMgYUyCpXlJM0izHcZIuDwlAnqKeAMgV6ol/sNwLZzJUUlhSqdKfWABAT1FPAOQK9cQn6KSgQ8aYVyS9IGmMpOGO43zT5SEByFPUEwC5Qj3xj4DbA4D3GGMWSUo4jvM7Y4wtaa0x5lLHcd5we2wA8gv1BECuUE/8hU4KAAAAAE9hTwoAAAAATyGkAAAAAPAUQgoAAAAATyGkAAAAAPAUQgoAAAAATyGkAAAAAPAUQgoAAAAATyGkAAAAAPCU/wNjfccuD4JKtwAAAABJRU5ErkJggg==\n", 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AdU4HJJEBEe9kZf/KDPfn3X0EcAlwV3u2jW5/v7uXuHtJUVFRh4sVkeQyc9FG6hrCfLtkcNCldFmJDIgyIPaTHQRsbGlld58DDDezwvZuKyLp5y8ff8GIAQUcM7Bn0KV0WYkMiPlAsZkNNbNs4CpgZuwKZnaERS+LNLMTgGygsi3bikj6+ryymo8+385Fxx0adCldWmaiduzuDWZ2MzALCAEPufsyM5sWXT4duAy41szqgT3AldFO67jbJqpWEUkuf134BQAXjVFABMn+fhJR6ispKfHS0tKgyxCRA+DufP3Xb9M3P4cZ004Nupy0Z2YL3L0k3jJdSS0iSWXZxh18WrGbi4/X0UPQFBAiklT+uvALMjOMC445JOhSujwFhIgkjcawM3PRRs48qoje+dlBl9PlKSBEJGl88Fklm3fUaljvJKGAEJGk8cLiL8nLDvH1kf2DLkVQQIhIkmgMO68u28SEo/rRLVtDayQDBYSIJIXSdVvZsqtOA/MlEQWEiCSFl5duIjszgwkj+gVdikQpIEQkcOGwM2vZJsYVF9E9J2EDPEg7KSBEJHCLyrbzZVUN56t5KakoIEQkcK8s3URmhunspSSjgBCRQLk7ryzbxGlHFNIzLyvociSGAkJEArX8y52sr6xW81ISUkCISKBeWbaJDIOzR6l5KdkoIEQkUK8v38yJh/emsHtO0KVIMwoIEQnMl1V7WLZxBxPVOZ2UFBAiEpjXl5cD8PWRujguGSkgRCQwry/fzGF98hhe1D3oUiQOBYSIBKK6roF3P61k4sh+mFnQ5UgcCggRCcQ7q7dQ1xDWxXFJTAEhIoF4fXk5BTmZfG1In6BLkRYoIETkoAuHnTdWljPuqCKyM/VnKFnpkxGRg27JF1VU7KzV2UtJTgEhIgfd6yvKyTA480gFRDJTQIjIQTdnVQXHDe5F7/zsoEuR/VBAiMhBVVVdz+Ky7ZxRXBR0KdIKBYSIHFTzPt1C2OGM4sKgS5FWKCBE5KCas3oLBTmZjBncK+hSpBUJDQgzO8/MVprZGjO7I87ya8xscfQxz8zGxCxbZ2ZLzGyhmZUmsk4ROTjcnTmrKjh1eF+yQvp+muwS9gmZWQi4FzgfGAVcbWajmq32GTDe3UcDdwH3N1s+wd2Pc/eSRNUpIgfPuspqvti+hzOOVP9DKkhkhJ8ErHH3te5eBzwNXBy7grvPc/dt0cn3gUEJrEdEAvbO6goAzjhC/Q+pYL8BYWbfjXk+ttmym1vZ90BgQ8x0WXReS64HXo6ZduBVM1tgZlNbeS0RSQFzVm9hcJ9uHN43L+hSpA1aO4K4Leb575otm9LKtvGGZ/S4K5pNIBIQt8fMHuvuJxBporrJzMa1sO1UMys1s9KKiopWShKRoNQ3hnnv00rOKC7S6K0porWAsBaex5turgwYHDM9CNj4lRcwGw08CFzs7pVN8919Y/RnOfA8kSarr3D3+929xN1LiorUrimSrBZu2M6u2gY1L6WQ1gLCW3geb7q5+UCxmQ01s2zgKmBm7ApmdhjwHDDJ3VfFzM83s4Km58A5wNJWXk9Ektjc1VvIMDhtuAIiVWS2snyEmS0mcrQwPPqc6PSw/W3o7g3RfopZQAh4yN2Xmdm06PLpwJ1AX+AP0UPOhugZS/2B56PzMoE/ufsrHXmDIpIc5q6uYMzgXvTMywq6FGmj1gJi5IHs3N1fAl5qNm96zPMbgBvibLcWGNN8voikpqrqehZt2M7NZxUHXYq0w34Dwt3Xx06bWV9gHPC5uy9IZGEikj40vEZqau001xfM7Jjo80OI9ANMAR43sx8chPpEJA3MXbOF7jmZHKfhNVJKa53UQ929qXP4e8Bsd/8mcDKtn+YqIqLhNVJYa59WfczziUT7E9x9JxBOVFEikj7WV1ZTtm0P49S8lHJa66TeYGb/ROSahhOAVwDMrBugUxFEpFVzo8NrnK77P6Sc1o4grgeOBq4DrnT37dH5pwAPJ7AuEUkTc1dvYVDvbgzR8Bopp7WzmMqBaXHmvwm8maiiRCQ9NA2vceGYQzW8Rgrab0CY2cz9LXf3izq3HBFJJ4s2bGdnbYP6H1JUa30QpxIZkfUp4ANaH39JRGSvORpeI6W1FhADgLOBq4HvAC8CT7n7skQXJiKp753VFYwepOE1UtV+O6ndvdHdX3H3yUQ6ptcAb0XPbBIRaVHVnnoWbtiu5qUU1toRBGaWA3yDyFHEEOAeIiOwioi06L2m4TV0e9GU1Von9aPAMUTu9PazmKuqRUT2a+5qDa+R6lo7gpgE7AaOBG6JOU3NAHf3HgmsTURS2NzVWzhlmIbXSGWtXQehT1ZE2m195W4+31rNDWcMDboUOQAKABHpdHNWbwHgDA2vkdIUECLS6d5ZXcHAXhpeI9UpIESkUzU0hpm3ppJxRxZqeI0Up4AQkU61qCwyvIaal1KfAkJEOtWcVU3Da/QNuhQ5QAoIEelU76zZwrGDetErLzvoUuQAKSBEpNNoeI30ooAQkU7z3qeVNIZd/Q9pQgEhIp1m7uoK8rNDHH+YhtdIBwoIEek076zZwqnDNbxGutCnKCKdYn3lbtZXVqt5KY0oIESkU8zdO7yGOqjThQJCRDrF3OjwGkML84MuRTqJAkJEDlhDY5h5n1ZyRrGG10gnCQ0IMzvPzFaa2RozuyPO8mvMbHH0Mc/MxrR1WxFJHovKqthZo+E10k3CAsLMQsC9wPnAKOBqMxvVbLXPgPHuPhq4C7i/HduKSJKYu7oCMxh7hIbXSCeJPII4CVjj7mvdvQ54Grg4dgV3n+fu26KT7wOD2rqtiCSPuau3MHpgTw2vkWYSGRADgQ0x02XReS25nsi9rzuyrYgEZO/wGkeqeSndtHZP6gMRr6fK465oNoFIQJzegW2nAlMBDjvssPZXKSIHZN6aLTSGXQGRhhJ5BFEGDI6ZHgRsbL6SmY0GHgQudvfK9mwL4O73u3uJu5cUFek/qMjBNmd1BQU5mRw3WMNrpJtEBsR8oNjMhppZNnAVMDN2BTM7DHgOmOTuq9qzrYgEz92Zs2oLpx2h4TXSUcKamNy9wcxuBmYBIeAhd19mZtOiy6cDdwJ9gT9Ez51uiB4NxN02UbWKSMd8WrGbL7bv4ftnDg+6FEmARPZB4O4vAS81mzc95vkNwA1t3VZEksvc1RUAjFf/Q1rSMaGIdNicVRUMLcxncJ+8oEuRBFBAiEiH1DY08v7arbp7XBpTQIhIh5Su28ae+kad3prGFBAi0iFzVlWQFTJOGabhNdKVAkJEOuTtVRWUHN6H/JyEnusiAVJAiEi7le+oYcWmnWpeSnMKCBFptzm6e1yXoIAQkXZ7c0U5/QpyOPrQHkGXIgmkgBCRdqlvDDNnVQVnjeinu8elOQWEiLTL/HVb2VnbwFkj+gVdiiSYAkJE2uWN5eVkhzIYe4T6H9KdAkJE2uWNFeWcMryvTm/tAhQQItJmn23Zzdotu5mo5qUuQQEhIm32xopyAPU/dBEKCBFpszdWbKa4X3eN3tpFKCBEpE121tTzwdqtnDVSRw9dhQJCRNrkndVbaAg7E0f0D7oUOUgUECLSJq9+spleeVmccFivoEuRg0QBISKtqmsI89ryzZw9sj+ZIf3Z6Cr0SYtIq95bW8nOmgbOO2ZA0KXIQaSAEJFWvbJ0E/nZIV093cUoIERkvxrDzuxPNnHmiH7kZoWCLkcOIgWEiOzXgvXb2LKrjvOOVvNSV6OAEJH9mrVsE9mhDCbo6ukuRwEhIi0Kh51Xlm7i9OJCumtwvi5HASEiLfro8218sX0PF44+JOhSJAAKCBFp0cxFG8nJzOAc9T90SQoIEYmrvjHMi4u/5Ouj+qt5qYtSQIhIXO+u2ULl7jouGnNo0KVIQBIaEGZ2npmtNLM1ZnZHnOUjzOw9M6s1sx81W7bOzJaY2UIzK01knSLyVTMXbqQgN5MzjyoKuhQJSMKOG80sBNwLnA2UAfPNbKa7fxKz2lbgFuCSFnYzwd23JKpGEYmvpr6RWcs2ceHoQ8nJ1MVxXVUijyBOAta4+1p3rwOeBi6OXcHdy919PlCfwDpEpJ1mf7KZ3XWNXHScmpe6skQGxEBgQ8x0WXReWznwqpktMLOpLa1kZlPNrNTMSisqKjpYqojEmlG6gYG9unHKsL5BlyIBSmRAWJx53o7tx7r7CcD5wE1mNi7eSu5+v7uXuHtJUZHaSkUO1Iat1cxdvYVvlwwmlBHv11i6ikQGRBkwOGZ6ELCxrRu7+8boz3LgeSJNViKSYDNKN5BhcEXJoKBLkYAlMiDmA8VmNtTMsoGrgJlt2dDM8s2soOk5cA6wNGGViggADY1hni0tY/yRRRzaq1vQ5UjAEnYWk7s3mNnNwCwgBDzk7svMbFp0+XQzGwCUAj2AsJn9ABgFFALPm1lTjX9y91cSVauIRMxZXcGmHTX8x0VHB12KJIGEXh7p7i8BLzWbNz3m+SYiTU/N7QDGJLI2EfmqP32wgcLuOUwcqZFbRVdSi0jU+srdvL5iM1d+bRBZuu+0oIAQkahH5q0jM8O49tQhQZciSUIBISLsqKlnxvwNXDj6UPr3yA26HEkSCggRYcb8Deyua2TK2KFBlyJJRAEh0sXV1Ddy/5y1nDy0D8cO6hl0OZJEFBAiXdyM0g2U76zl1onFQZciSUYBIdKF1TY0ct9bn1JyeG9OHa5xl2RfCgiRLmxGaRlfVtVwy8RiohemiuylgBDponbW1PPb2as4aWgfziguDLocSUK60axIF3XfW59SubuOh78xUkcPEpeOIES6oLJt1fzxnc/41vEDGT2oV9DlSJJSQIh0Me7Ov/1lKaEM41/OPSrociSJKSBEupi/LtzIWysr+Jdzj9KQ3rJfCgiRLqR8Zw3/+cInHDe4l8ZcklYpIES6iMawc+tTC6mua+Duy0frdqLSKp3FJNJF3PP6at5bW8kvLx9Ncf+CoMuRFKAjCJEu4K8Lv+B/Xl/NpScM5IoTda9paRsFhEiam7dmCz96dhEnDe3Df3/rWF3zIG2mgBBJY2+tLGfKo/MZWpjPA5NKyM0KBV2SpBD1QQAPzFlLfTi8d9r4+zes2C9bsd+7mn8Ja2mbfdZptqCl/e07v+X97jMZu14H6my5lpZftMU6991i3/3FPM8wIzMjg1BG5Hkow8jIMDIzjJBFnoeaHk3LLWZe0/yQkR3KICcrI/IzM0PfkoHnPirj9j8vprhfAY9dfxI987KCLklSjAIC+PXsVeypbwy6DOlETUGxNzSyQntDJCczg7zsTLrnRB75OZl0zwnRPbfpeeTRKy+LPvk59MnLpiA3k4wUOetnT10j//nCJzz14eecMqwP/zuphJ7dFA7SfgoI4OM7z4473z3mOR53fmRZ7DbewvzmO2993y3td3/7dlrYQRu3aen1m9fwlffTwvz97bsx7ITdaWiM/GwMO43uhMNOQzjys7FpfvQRWQ8awuG9zxvDYeoawtTGPCLTjXvnN03XNoSprQ+zvbqOsm3V7KptYHdtI7tqG+K/oahQhtE7L4s++dn0zsumT342/Xvk0r9HLof0/PvPAT1zA2vGcXdmLdvMXS98whfb93DjmcO57ewjyQypJVk6RgEBapcVwmGnur6R3bUN7KxpYFdtA9ur69hWXcfW3fVs213H1uo6tu6K/Fxdvot31mxhZ81Xg6VXXhYDeuRyaK9uHNor8nNgr27R6W70L8jp1D/a1XUNvLpsMw/MXcuyjTs4qn8BT089hVOG6f4OcmAUECJARobtbVrq36Pt2+2ubWDTjho2VUUf0edfVu3hy6oaPv58G9uq6/d9LSMmQLpFA2Tf6R65mXH7Udydip21rN9azZKyKj78bCtvr6pgT30jw4ry+cWlx3LZiYPI0lGDdAIFhMgByM/JZHhRd4YXdW9xneq6BjZur2Hj9j17H19EpxeVbeeVpZuoawzvs023rBD5OSFyMkPkZGZQ2xBmT32kKayu4e/rDurdjUtPGMiFow/l5KF9UqafRFKDAkIkwfKyMzmiX3eO6Bc/RMJhZ8vu2n1CZFNVDdX1jdTUR/pNIh3rIfKyMxnYqxuH9c3jqP4FGmxPEkoBIRKwjAyjX0Eu/QpyOW6w7s0gyQF44CQAAAgTSURBVEMNlSIiEpcCQkRE4kpoQJjZeWa20szWmNkdcZaPMLP3zKzWzH7Unm1FRCSxEhYQZhYC7gXOB0YBV5vZqGarbQVuAX7VgW1FRCSBEnkEcRKwxt3Xunsd8DRwcewK7l7u7vOB+vZuKyIiiZXIgBgIbIiZLovO69RtzWyqmZWaWWlFRUWHChURka9KZEDEu2KnhRF8Or6tu9/v7iXuXlJUVNTm4kREZP8SGRBlwOCY6UHAxoOwrYiIdIJEXig3Hyg2s6HAF8BVwHcSue2CBQu2mNn6DtZbCGzp4LaJpLraR3W1j+pqn3Ss6/CWFiQsINy9wcxuBmYBIeAhd19mZtOiy6eb2QCgFOgBhM3sB8Aod98Rb9s2vGaH25jMrNTdSzq6faKorvZRXe2jutqnq9WV0KE23P0l4KVm86bHPN9EpPmoTduKiMjBoyupRUQkLgXE390fdAEtUF3to7raR3W1T5eqy5rfylJERAR0BCEiIi1QQIiISFwKiBhmdpeZLTazhWb2qpkdGnRNAGZ2t5mtiNb2vJklxV1lzOwKM1tmZmEzC/TUv2Qd/dfMHjKzcjNbGnQtscxssJm9aWbLo5/hrUHXBGBmuWb2oZktitb1s6BramJmITP72MxeCLqWWGa2zsyWRP9ulXbmvhUQ+7rb3Ue7+3HAC8CdQRcUNRs4xt1HA6uAfw24niZLgUuBOUEWkeSj/z4CnBd0EXE0AP/s7iOBU4CbkuTfrBY4y93HAMcB55nZKQHX1ORWYHnQRbRggrsf19nXQiggYrj7jpjJfNo+dlRCufur7t4QnXyfFq4dOdjcfbm7rwy6DpJ49F93n0NkWPuk4u5fuvtH0ec7ifzha+tgmgnjEbuik1nRR+C/h2Y2CPgG8GDQtRxMCohmzOznZrYBuIbkOYKINQV4OegiksyBjBzc5ZnZEOB44INgK4mINuUsBMqB2e6eDHX9FvgxEA66kDgceNXMFpjZ1M7ccZcLCDN7zcyWxnlcDODuP3H3wcCTwM3JUld0nZ8QaRp4MpnqSgIHMnJwl2Zm3YE/Az9odgQdGHdvjDbzDgJOMrNjgqzHzC4Eyt19QZB17MdYdz+BSBPrTWY2rrN2nNChNpKRu3+9jav+CXgR+PcElrNXa3WZ2WTgQmCiH8SLV9rx7xUkjf7bAWaWRSQcnnT354Kupzl3325mbxHpwwmyk38scJGZXQDkAj3M7Al3/26ANe3l7hujP8vN7HkiTa6d0i/Y5Y4g9sfMimMmLwJWBFVLLDM7D7gduMjdq4OuJwntHf3XzLKJjP47M+CakpqZGfBHYLm7/zroepqYWVHTWXpm1g34OgH/Hrr7v7r7IHcfQuT/1hvJEg5mlm9mBU3PgXPoxDBVQOzrF9Hmk8VE/qGT4tQ/4PdAATA7eirb9NY2OBjM7FtmVgacCrxoZrOCqCPagd80+u9yYEZbRv89GMzsKeA94CgzKzOz64OuKWosMAk4K/p/amH0G3LQDgHejP4OzifSB5FUp5Ummf7AO2a2CPgQeNHdX+msnWuoDRERiUtHECIiEpcCQkRE4lJAiIhIXAoIERGJSwEhIiJxKSAkLZnZrtbXanHbm6OjwrqZFcbMNzO7J7pssZmdELOsm5m9HR0mYkhnjd5qZo+Y2eVtWO+t1kbUNbOnm13rI7JfCgiRr3qXyAVa65vNPx8ojj6mAvfFLJsCPOfujQelwo65j8h4QiJtooCQtBb91n939ALIJWZ2ZXR+hpn9IXrPgRfM7KWmb+ru/rG7r4uzu4uBx6Ijjr4P9DKzQ6LLrgH+Guf1h5jZXDP7KPo4LTr/zOgRxwwzW2VmvzCzayxyL4QlZjY8Zjdfj+5jVXRcoKYjlqejRzLPAN1iXvM+Myu1r95PYW50X11uiB3pGP1HkXR3KZH7CowBCoH5ZjaHyJXEQ4BjgX5ErsB+qJV9xR011swqgWEthEo5cLa710Sbd54CmpqCxgAjiQwHvhZ40N1PssjNe/4J+EF0vSHAeGA4kauMjwC+D1S7+2gzGw18FPOaP3H3rRa5T8brZjba3Re7e9jM1kRfN1kHnpMkoiMISXenA09FRwjdDLwNfC06/1l3D7v7JuDNNuyrpVFjC4HtLWyTBTxgZkuAZ4nc0KjJ/Oh9GWqBT4FXo/OXEAmFJjOida4mEiQjgHHAEwDuvhhYHLP+t83sI+Bj4Ohmr1kOJMWdEiX56QhC0l28P+r7m78/LY0aW0NklM94fghsJvKtPSO6bpPamOfhmOkw+/5uNh8Px1uYj5kNBX4EfM3dt5nZI81qywX2tFCryD50BCHpbg5wZfTsoiIi37w/BN4BLov2RfQHzmzDvmYC10b7NU4BqqJHANuAkJnFC4mewJfuHiYyOF6oA+/himidw4FhwMro+7oGwCL3SxgdXbcHsBuoir6v85vt60ggKQYylOSngJB09zyR5pdFwBvAj6NNSn8mckSwFPhfIndTqwIws1uio9QOAhabWdNtJl8i0sSzBngAuDHmdV4l0mzV3B+AyWb2PpE/zrs78B5WEmkaexmY5u41RM5I6h4d9fTHREIPd19EpGlpGZE+lXebdhINjD3u/mUHapAuSKO5SpdlZt3dfZeZ9SXyB3ZsNDw6sq/jgdvcfVKnFtmJzOyHwA53/2PQtUhqUB+EdGUvRG9Okw3c1dFwgMipsWb2ppmFkvhaiO3A40EXIalDRxAiIhKX+iBERCQuBYSIiMSlgBARkbgUECIiEpcCQkRE4vr/2MLV2Sye/+sAAAAASUVORK5CYII=\n", + "text/plain": [ + "
      " + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -589,9 +734,7 @@ { "cell_type": "code", "execution_count": 5, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -704,9 +847,7 @@ { "cell_type": "code", "execution_count": 6, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "X = np.zeros((n, L ** 2))\n", @@ -770,9 +911,7 @@ { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "X_train_own = np.concatenate(\n", @@ -788,10 +927,22 @@ { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "ename": "LinAlgError", + "evalue": "singular matrix", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mLinAlgError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mols_inv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mscl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mbeta\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mols_inv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_train_own\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m\u001b[0m in \u001b[0;36mols_inv\u001b[0;34m(x, y)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mols_inv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndarray\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mscl\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0mbeta\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mols_inv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX_train_own\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_train\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/anaconda3/lib/python3.6/site-packages/scipy/linalg/basic.py\u001b[0m in \u001b[0;36minv\u001b[0;34m(a, overwrite_a, check_finite)\u001b[0m\n\u001b[1;32m 977\u001b[0m \u001b[0minv_a\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgetri\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlu\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpiv\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlwork\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlwork\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moverwrite_lu\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 978\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 979\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mLinAlgError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"singular matrix\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 980\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 981\u001b[0m raise ValueError('illegal value in %d-th argument of internal '\n", + "\u001b[0;31mLinAlgError\u001b[0m: singular matrix" + ] + } + ], "source": [ "def ols_inv(x: np.ndarray, y: np.ndarray) -> np.ndarray:\n", " return scl.inv(x.T @ x) @ (x.T @ y)\n", @@ -875,9 +1026,7 @@ { "cell_type": "code", "execution_count": 9, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "def ols_svd(x: np.ndarray, y: np.ndarray) -> np.ndarray:\n", @@ -888,9 +1037,7 @@ { "cell_type": "code", "execution_count": 10, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "beta = ols_svd(X_train_own,y_train)" @@ -906,9 +1053,7 @@ { "cell_type": "code", "execution_count": 11, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "J = beta[1:].reshape(L, L)" @@ -924,10 +1069,19 @@ { "cell_type": "code", "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure(figsize=(20, 14))\n", "im = plt.imshow(J, **cmap_args)\n", @@ -992,9 +1146,7 @@ { "cell_type": "code", "execution_count": 13, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -1100,9 +1252,7 @@ { "cell_type": "code", "execution_count": 14, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "X = np.zeros((n, L ** 2))\n", @@ -1132,9 +1282,7 @@ { "cell_type": "code", "execution_count": 15, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "clf = skl.LinearRegression().fit(X_train, y_train)" @@ -1150,9 +1298,7 @@ { "cell_type": "code", "execution_count": 16, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "J_sk = clf.coef_.reshape(L, L)" @@ -1168,10 +1314,19 @@ { "cell_type": "code", "execution_count": 17, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure(figsize=(20, 14))\n", "im = plt.imshow(J_sk, **cmap_args)\n", @@ -1225,10 +1380,19 @@ { "cell_type": "code", "execution_count": 18, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "_lambda = 0.1\n", "clf_ridge = skl.Ridge(alpha=_lambda).fit(X_train, y_train)\n", @@ -1278,10 +1442,19 @@ { "cell_type": "code", "execution_count": 19, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "clf_lasso = skl.Lasso(alpha=_lambda).fit(X_train, y_train)\n", "J_lasso_sk = clf_lasso.coef_.reshape(L, L)\n", @@ -1314,10 +1487,28 @@ { "cell_type": "code", "execution_count": 20, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + " 0%| | 0/10 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "lambdas = np.logspace(-4, 5, 10)\n", "\n", @@ -1379,10 +1570,19 @@ { "cell_type": "code", "execution_count": 21, - "metadata": { - "collapsed": false - }, - "outputs": [], + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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      " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "fig = plt.figure(figsize=(20, 14))\n", "\n", @@ -1609,9 +1809,7 @@ { "cell_type": "code", "execution_count": 22, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "\"\"\"The sigmoid function (or the logistic curve) is a\n", @@ -2032,9 +2230,7 @@ { "cell_type": "code", "execution_count": 23, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", @@ -2093,9 +2289,7 @@ { "cell_type": "code", "execution_count": 24, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", @@ -2135,9 +2329,7 @@ { "cell_type": "code", "execution_count": 25, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", @@ -2187,7 +2379,25 @@ ] } ], - "metadata": {}, + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "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": "3.6.8" + } + }, "nbformat": 4, "nbformat_minor": 2 }

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