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@santiago-salas-v
Created December 21, 2016 12:35
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 90,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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am/LbzqZNzc4MvLIjJ9fJ/JeB5A8rV65k8eLFPPTQQynTDhw4wL59+9i7dy9R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\nYsLMzMxScTFhZmZmqbiYMDMzs1T+B43RS8QT1gyxAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1877cfd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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8++yzeHl54efnR//+/R3j161bR7ly5UifPj3e3t4UKFCAYcOGhZnH0qVLefbZ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21f1e278>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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brURxv+I7yFtQUNAd0wLvcR0qPtscN24cU6dOZebMmWzbtg0vLy8aNmzIzZvR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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21f1e898>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cuSj1BAYGYsyYMXBwcIC5uTmKFCmCNWvW6OcfOnQIn376KWxsbPD1118jODhY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\nEQmKwoSIiIgERWFCREREgvJ/YpLQWI2LyWAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2a865198>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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62i663fE8xyu+xT1fVKfTy2u4dMnp6DKumxkxNT3UOWjQIIoVK0bOnDlp1qyZ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\nIvmiMCEiIiL58v98mO5ZsmGdSwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc3b66d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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q1WPixIn06tULDw8P0qZNyzfffMOhQ4dwcDBusnbv3p327dtTvXr1GM9z9OhR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\nwq5NrT2VlK4pabOiDaE69KXHlYJRo8z9+X36mFnxQsSFH3/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cvQsTJ8JXX5mrFX36gK8v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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x189a1320>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MGcJPTtgHXSlFqVKlwss7ODiQJUsWSpYsGb7trbeMFcDv378PGMlG3bp1KVmyJK1bt2be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\nUzhN9L1o+q7pS50idfAr7PfYNlevmksUmTObja9Sp3ZySCG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q8qEAAAAASUVO\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2dd94d30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XEhAQwMiRI03WE5cePXrQrl07atSoEee2v//+OwEBAfj6+jJs2DBcXV3p1asX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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x2f5c9b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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GJ5/EvBBhzpw5o9yePXt209c3btzgypUrfPrpp9HWE6bPip9//plJkyYBULJkSQ4fPkyB\nAgUAuH79OmA06cd2jsDAQCZNmoSrqytp06YFMF2buPDz88Pd3d30vaOjI+nTp+fChQtUq1aNFy9e\nMGvWLNzc3NizZw/9+vXj7bffjra+jz76iLVr14bb9uuvv/LHH39w+vRpatasyZ07d/D19WXu3Llk\nz56d0aNHA1CtWrU4xx1XMV3bqER3j2K7TtGVA9vfI3NEdX8g9nvUunVrWrdubda5EoO5c+fSq1cv\n1q9fH6d9GTJkiNSt+vz5c86fP0/u3LnjfS/Diu6+nj9/3qJ7bu5nr2LFipw9e9ai2G3B3J81kHTv\nlyWfw/z584cedkBrfcrc+O0x5kEDv0bY9itQSBkKKaVWKqX+Uko9AkKHhHpEqONixIqvXLlCq1at\nKFiwIG5ubqaLE/oDXilFyZKmdbdwcHAgc+bMlChRwrQtW7ZsgPHYERjJRs2aNSlRogQtWrRg3rx5\nPHz4MNo3lylTJgoUKBDjKy798EOHDqVDh0hjSiM5ffo048ePp3z58uGSp3fffdf09YQJE/Dy8qJU\nqVKxnqNTp064urrSs2dPPv74Y27dim1ur/D+/fdfUqdOHW5b6tSpTdesRIkSdO7cmVatWtGqVSua\nNm0a2ppkorWmbt26HDp0iPz583PkyBFq1aoFwJMnT7hy5Qrt27fn/fffx9vbm06dOpE2bVrSpElj\nVqyWisu1DSuqexTbdYquHNj+HsUmpvsDieMe2YKvry8ffvghLi6RB6VHt69GjRp4eHiYRrYfPHiQ\n4OBgHj16BMT/XoYV0329f/9+nO55Yv/smSMuP2siSkr3y96fQ3u1PET3PKnCGONwDeiM8XinI8ZS\n3RE/sS8iFm7YsCH58+dn3rx55MqVi6CgIIoXLx4uk3R2dg5/QqXCbQt91DU4OBgwEoydO3dy+PBh\nduzYwfTp0xk6dChHjx4lX758kd7AuHHjGD9+fEzvnYsXL5I7d+5o9/v7+7Nv3z7y5s0bYz0AZcqU\noUyZMsydO5cqVaqwd+9e0qVLZ9o/f/58cuXKxcSJE2M9x8WLF1m7di116tRh2bJlBAYG0r9/f9N+\nHx+fsI/3RFK1alUyZswY6QP69OlTsmTJAhgjsp2cjP92BQoU4NKlS5w7dy5cUqeUwtfXl5kzZ7Jt\n2zZy5szJli1bAHBycjINeDp27BhNmzbFwcGBVatWxXqtovLgwQO+++67cDEfOnSIly//P2+Ku7t7\nuOsQKrprG1FU98jNzS3G6xRduevXr0d7j+Jyf5o0aRKnc8ckpvsD1r1HltyfuF4Hc9y6dYuHDx+a\nWjABU0wx7XN0dGT37t2sXLmSjBkzUqhQIdKkSUOOHDli/byZ+/6ju69Zs2bF398/Tvc8qXz24uKT\nTz4x/aEW3c+aiOJzv8x9P9H9rIzr/UrIz2GUzOnjsMYLY7zC+QjbxmMkCO5AMFApzL73Q7Y1CrNt\nL7AM0CdPntRaa/3vv/9qpZQ+dOiQqU/n4MGDWimlN23apLU2Bmh5eXmF6/fJly+fnjZtWrhtYctE\nFBQUpHPnzq29vb2j3P/gwQP9119/xfgKDAyMsmyohQsX6jJlysR4zJEjR3SOHDm0n5+f1lrrixcv\naqWUXrdunekYX19fPXfuXK21MQAn9NjozrFq1Spdrly5GM8bmz179oSr9+XLl9rJyUlfv35dHzly\nRLu6upr6uH/77TetlNIXL16MVM/YsWN1jx49dL9+/XTPnj31qFGjIh1TunRpff78ea21ttqAT63j\n1lca07UNFdM9iu06RVfO1vcorJj6leNyf7S2zT2yx5iHhQsX6vHjx+sJEyboCRMm6Fy5cumuXbvq\nrVu3RrmvS5cupoHXwcHBpnr8/f21u7u7fvXqlcX3Mrr3H9N9jes91zrxf/a0jv1+xfVnTVT1WPN+\nxfR+rHG/4vM5PHnypGnApLbgd7m9HtX0UEpNVkoVVkq1Ar4EpmE8YXEf6KqUelMpVQNjYGVEigit\nF5kyZSJz5szMnj2bP//8kz179kR6/FD/P/mIs6NHjzJu3DhOnjzJ9evXWbduHffu3Yv2GWZrdFtc\nuHDB1J8W1q5du/jtt98AowWlWLFipvETV69excXFhdKlSwOwf/9+/P39adiwIf7+/mzdupXbt2/H\neI7ChQuTKlUq0/fBwcHMnz8/Dlfp/ypXrszdu3e5efOmKY7y5cuTJ08e8uTJw4ABA0xNu7/88guV\nKlWKsh+yXLlyzJgxg4cPH+Lj40PFisbK7L6+vkydOpW//vqLK1euUKxYMYKDg1myZIlZccZHTNc2\nrvcopuvk5OQUbTlb36OIovu8RHd/IHHcI0tEfK9h72X79u0ZNGgQAwcOZODAgbi4uNC6dWs++OCD\nGPdprcmZM6fpcb9Zs2YxbNgwXFxcrHIvw4rpvppzzxPzZy+smO6XOT9rwtaT1O6XPT+H9ui20MBi\nIA3GzFaBwFSt9VwApdQngA9wDvgD6I3RWhGxjnD/c0KbY3r16kWJEiV4++23mTZtWrjBJUopU7dE\nXLm5uXHw4EGmTZvG48ePyZcvH1OmTKFu3bpm1WPuOQsXjvzI7Q8//ED58uUpWbIkZcuWpUOHDsyY\nMQMHBwcOHTrE5s2bKVCgAFevXqVhw4Y8ffrUVFYpZeq3i+4cpUuXpnnz5vj4+ODu7s6zZ88iDUKN\njZOTE4sXL2bs2LG8++677N+/n+XLjcVP33jjDcqUKcPkyZMJCgriypUrbNiwIcp6ateuDfx/CtXQ\n7+/fv8/Vq1fZsWMHQ4cOxcfHBycnp9AFXmwutmsb13sERHud3nnnnRjL2fIeAaxatYoDBw6glGLQ\noEFUqVKFbt26hasjuvsD9r9H5ojpvYa9l6Fu3rzJtGnT8Pf3Z/LkyTx79ox69epF2jdlyhSeP39O\nvXr16NevHzt27GDNmjWkS5cOLy8vwDqft7Biuq+x3fOwEutnD+J+v2L7WRNdPUqpJHW/7Po5tKS5\nIj4vjC6HKVaox5Mw3RZCWMvEiRPtHYKIQUq/P8n5/Se395aY3098uy2UNrMZP76UUvuA01prr3jW\n4wmcPHnypKyQJoQQQpjh1KlTlC1bFqCsTkKPaiZsxiKEEEIIq0nwMQ9a6+oJfU4hhBBCWE+yWBhL\nCCGEEAlHkgchhBBCmEWSByGEEEKYRZIHIYQQQphFkgchorFv376wK8/Rvn17Ro0alWDnS4hzCiGE\nJSR5ECKOLJmhNDGcc8SIEeTKlYu0adNSu3Zt09S7MVmzZg1vv/02adKkoWTJkmzdujXaYydMmICD\ng4NpJr5Qjx8/plu3buTOnZu0adNSrFgxZs+eHe6Yly9f0qNHD7JkyUL69On56KOPTCvaRvTq1StK\nly6Ng4ODaRriUA4ODpFeq1evNu338/OL8phjx46Zjmnfvn2UxxQvXtx0zM6dO3nrrbdwc3Ojbdu2\nBAQEmPY9evSIwoULc+PGjRiurBDJgyQPQpghvpOqBQYGRtoWdtVXa59z4sSJTJ8+ndmzZ3P06FHS\npUtH3bp1efXqVbRlDh8+TOvWrfn88885c+YMTZo0oUmTJly4cCHSscePH2fOnDmULFkyUpLTp08f\ndu3axYoVK/jjjz/w8vLiyy+/xNfX13SMl5cXmzdvZu3atezfv59bt25FO+XvgAEDeOONN6KNe9Gi\nRfj7+5tejRs3jnTM7t27wx0TdoI5Hx+fcPtu3LiBu7s7LVq0AIy1DFq3bk337t05cuQIJ06cYM6c\nOabygwYNolu3blGuFyFEciPJgxDxsGnTJjw9PUmTJg0FCxZk9OjRBAUFmfY7ODgwa9YsGjVqhKur\nK2PHjmXkyJGUKVOGefPmkT9//igXQbMGrTVTp05l+PDhNGzYkBIlSrBkyRJu3brFxo0boy03bdo0\n05oMhQsXZvTo0Xh6ejJjxoxwxz19+pQ2bdowb948MmXKFKme48eP0759e6pUqYKHhwedO3emVKlS\nHD9+HDD+Ul+wYAHe3t5Uq1YNT09PFi5cyOHDhzl69Gi4urZu3cquXbv47rvvoo3bzc2NbNmymV5h\nFzEK5e7uHu6Y0OXhATJkyBBu3/Hjx/nvv//o0KEDAP/++y/379+ne/fuFC1alEaNGnHx4kXASLhO\nnDhB7969o41PiOREkgchLHTw4EHatWuHl5cXFy9eZPbs2SxatIixY8eGO27kyJE0b96c8+fP07Fj\nR5RS/Pnnn2zYsIGNGzdy5swZs87p6upK+vTpo32tXLkSgGvXrnHnzh1q1aplKp8hQwYqVKjAkSNH\noj3Hr7/+Gq4MQN26dSOV6dGjBw0aNKBGjRpRto7Uq1ePTZs2cevWLbTW7N27l8uXL1OnTh0ATp48\nSUBAQLhzFS5cGA8Pj3DnunPnDl26dGHp0qWkSZMm2rh79OhB1qxZqVChAgsXLozymEaNGpE9e3Yq\nV64crgUkKvPnz6d27dqmloSsWbOSM2dOtm/fzvPnzzlw4AClSpUiICCA7t27M2fOnATv1hLCXuyx\nqqYQycKoUaMYPHgwn332GQD58uVj9OjRDBw4kBEjRpiO+/TTT2nXrp3pe601r1+/ZsmSJWTOnNms\nc5YrVy5Sf39E2bJlA8Df3x+A7Nmzh9ufPXt2076o+Pv7RyqTLVu2cGVWrVrFmTNnTK0IUf3SnDhx\nIm3atCF37tw4OTnh4ODAvHnzeP/9903ncXFxIUOGDJHiu3PnDmBcq/bt29OtWzc8PT3x8/OLMubR\no0dTs2ZN0qZNy/bt2+nevTtPnz6lZ8+eAKRPn54pU6ZQqVIlHBwcWLt2LU2aNGHjxo00bNgwUn23\nbt1i27ZtpkQs9D2uXr0aLy8vevfuTf369enQoQPjx4+nRo0auLi4UKlSJe7fv0/Pnj3p0aNHtNdY\niKROkgchLHT27FkOHz7MmDFjTNuCgoJ49eoVL1++JHXq1ICxxHZEefPmNTtxAEidOrVpaW5Laa1x\ncLC80fHGjRv07t2bXbt24eLiYqozYutDv379OHHiBL6+vuTNm5f9+/fTvXt3cubMSc2aNeN0runT\np/P06VMGDRoU6T2ENWzYMNPXpUqV4vnz50yaNMmUPGTOnJk+ffqYjilbtiy3b99m0qRJUSYPixcv\nJlOmTDRp0iTc9kqVKoUbZHn58mWWLl3K6dOnqVy5Ml5eXnzwwQcUL16cKlWqUKJEiTi9TyGSGum2\nEMJCz549Y/To0Zw9e9b0On/+PFeuXAnX354uXbpIZaPaFhfmdFvkyJEDwPRXfKg7d+6Y9kUlR44c\nUZbJmTMnYHQ33Lt3D09PT5ydnXF2dubAgQP4+Pjg7OyM1ppnz57h4+ODt7c39evXp3jx4vTo0YOW\nLVuaxi3kyJGD169f8/jx42jj27t3L0eOHCFVqlQ4OztTqFAhwEjIQsciRKVcuXL8888/4Z6GiOqY\nqJ480VqzYMECPvvss3BjIqLStWtXpkyZQlBQEGfOnOHjjz8ma9asVK1alf3798dYVoikTFoehLCQ\np6cnf/zxR7xbAsxhTrdF/vz5yZEjB7t27aJkyZKA8fjksWPHYmxSr1ixIrt27aJXr16mbTt37qRi\nxYoA1KpVi/Pnz5v2aa3p0KEDRYoUYeDAgSilTC0Rjo6O4ep2cHAwtRqULVsWZ2dndu3aZXrC4tKl\nS1y/ft10Lh8fn3BjSG7evEndunVZvXo1FSpUiPY9nDlzBnd3d5ydnWM8JleuXJG279+/n7/++otO\nnTpFWxaMMRFZsmShQYMG/PfffwAEBASQOnVqXr9+TXBwcIzlhUjKJHkQwkIjRoygQYMGeHh40Lx5\ncxwcHDh79iwXLlzgm2++sck5zem2UErRp08fxowZQ6FChciXLx/Dhw/njTfeCNcc37ZtW3Lnzs24\nceMA6N27N1WrVmXKlCl8+OGHrFq1ilOnTjFv3jwAXF1dKVq0aLhzpU2bFnd3d9N2V1dXatasyVdf\nfUXq1Knx8PBg//79LF26FG9vb8B4OqJTp0707dsXd3d30qdPT8+ePXnvvfcoX748QKTHHkOfTClY\nsKDpF//mzZvx9/fn3XffJXXq1OzcuZPx48fTv39/U7nFixeTKlUqSpcuDcD69etZuHAh8+fPj3Td\n5s+fz7vOQzUQAAAgAElEQVTvvhvpPYZ19+5dxo4dy+HDhwHIlCkTRYoUwdvbm9q1a7Nnzx6GDx8e\n4/0RIimT5EEIC9WpU4fNmzczevRoJk6ciLOzM0WKFKFz584xlkvIyaYGDBjAs2fP6NKlCw8fPqRy\n5cps27bNNFYBjDEMYZvnK1asyIoVKxg2bBhDhgzhrbfeYuPGjTH+Mo3qPS1fvpzBgwfTpk0b7t+/\nT758+Rg3bhxdu3Y1HePt7Y2DgwPNmzfn1atXfPDBB/zwww8xvqeI53F2duaHH36gb9++aK0pVKgQ\n3t7e4e6DUopvvvmGv//+GycnJ4oUKcLq1asjzSnx6NEj1q9fj4+PT4wx9OnTh6+++ipc98+iRYto\n164dPj4+DBgwgLJly8ZYhxBJmYrvpDf2opTyBE6ePHky3EQvQljLvn376NChA9euXQOgQ4cO5MuX\nj6+//jpBzpcQ5xRCpEynTp0KTXDLaq1PmVteBkwKIYQQwiySPAgRg4hN5Lbuboiqfpl4SAiR2Ei3\nhRBCCJHCSLeFEEIIIRKUJA9CCCGEMIskD0IIIYQwiyQPQgghhDCLJA9CCCGEMIskD0IIIYQwiyQP\nQgghhDCLJA9CCCGEMIskD0IIIYQwi82SB6VUFaWUr1LqplIqWCnVOJbjq4UcF/YVpJTKZqsYhRBC\nCGE+W7Y8pAVOAz1Cvo/rPNiFgBwhr5zAPeuHJoQQQghLOdmqYq31NmAbmL2wz79a60c2CUoIIYSw\ngtWr4ckT6NTJ3pHYR2Ic83BGKXVLKbVDKfWevYMRQgghwgoOhqFDYccOe0diP4kpebgFdAWaAc2B\nG8A+pVSZmArduJEAkQkhhBAhNm+GP/+Evn3tHYn9JMiS3EqpYKCJ1vonM8vtA65rrdtGsc8TOJkr\nVxXKlnULt69Vq1a0atUqHhELIYQQUataFYKC4NAhe0cSNytXrmTlypXhtj169IgDBw6AhUtyJ/bk\nYRJQSWsdqfsiNHlInfokN2964u5upWCFEEKIaJw4AeXKwbp10KyZvaOx3KlTpyhbtixYmDwkpm6L\nqJTG6M6IVlAQzJqVQNEIIYRI0aZMgQIFoHGMkw8kf7ac5yGdUqq0Uqp0yKYCId/nCdk/Xim1OMzx\nfZRSjZRSbyqliiulpgLVgO9jOk/DhjB9Orx6Zat3IoQQQhhj7Favhj59wNHR3tHYly1bHsoBp0Je\nGpgS8vWokP05gDxhjncGJgO/AfuAEkAtrfXemE7SujX4+8OKFVaNXQghhAhn+nRInx46dLB3JPZn\ny3ke9hFDcqK17hDh+0nAJHPPkz+/0foweTK0bw/mTSkhhBBCxO7JE5gzB774Alxd7R2N/SX2MQ9x\n0q8fXLgA27fbOxIhhBDJ0YIF8OwZfPmlvSNJHJJF8lClCrzzjtH6IIQQQlhTYCB4e0PLlpA7t72j\nSRySRfKglNH6sGsXnDlj72iEEEIkJ2vWwN9/Q//+9o4k8UgWyQPARx+Bh4fxGI0QQghhDVrDt99C\n3bpQqpS9o0k8kk3y4ORkPD6zciX884+9oxFCCJEc7N5ttGhLq0N4ySZ5AOjcGdKlMx6nEUIIIeLr\n22/B0xNq1LB3JIlLskoe0qeHLl1g9mzjsRohhBDCUmfOwM6dRquDTAMQXrJKHgB69TIep5k3z96R\nCCGESMomTYJ8+YwxdSK8ZJc85M4NrVoZj9W8fm3vaIQQQiRFf/8NP/5oLLvtZLPpFJOuZJc8AAwY\nYMxBHmEFUiGEECJOvL3BzQ06drR3JIlTskweiheHBg2MgS7BwfaORgghRFLy4IHR9d2jhzEIX0SW\nLJMHgEGD4PffYfNme0cihBAiKZk5E4KCZCrqmCTb5KFSJXj/fZgwwZjkQwghhIjNy5fg42MstJgt\nm72jSbySbfIAMHAgHDkChw7ZOxIhhBBJwZIlcO+eMVBSRC9ZJw8ffmiMf5gwwd6RCCGESOyCgowF\nFps1g0KF7B1N4paskwcHB6P14eef4bff7B2NEEKIxOynn+DyZZmKOi6SdfIAxhKqHh7GkxdCCCFE\nVLQ2WqmrVIEKFewdTeKX7JMHZ2f46itYtQr8/OwdjRBCiMRo7144dgwGD7Z3JElDsk8ewJjkI2NG\noy9LCCGEiGjcOChTxlh6W8QuRSQP6dIZa17Mn2+MohVCCCFCHT1qLL09ZIgsgBVXKSJ5AGOmMAcH\nWa5bCCFEeOPHQ+HC0LSpvSNJOlJM8pA5M3z+OcyYAU+f2jsaIYQQicGFC7BpkzErsaOjvaNJOlJM\n8gDGpB9PnsCcOfaORAghRGIwYQLkyQOtW9s7kqQlRSUPefLAZ5/Bd98ZU5AKIYRIua5eNVZf7t8f\nXFzsHU3SkqKSBzCapu7cgYUL7R2JEEIIe5o0CdzdoVMne0eS9KS45OGtt4yJoyZMgIAAe0cjhBDC\nHm7fNv6I9PKCtGntHU3Sk+KSBzAex7l+HZYts3ckQggh7MHbG1Klgu7d7R1J0pQik4fixY1HcsaN\nMxZCEUIIkXI8eAAzZxqP8Lu52TuapClFJg8AQ4fCn3/C6tX2jkQIIURCmjEDAgOhTx97R5J0pdjk\noWxZqFcPxo6F4GB7RyOEECIhPH0K06YZ8/5ky2bvaJKuFJs8AAwb9v8JQoQQQiR/c+bA48fGgonC\ncik6eXjvPaheHcaMMZZjFUIIkXy9eGE8ntm2LXh42DuapC1FJw9gtD6cOgXbttk7EiGEELY0d66x\nOOKQIfaOJOlL8clD9epQsSJ88420PgghRHL18iVMnAht2kDBgvaOJulL8cmDUkbrw5EjsG+fvaMR\nQghhCwsWgL+/tDpYS4pPHsB46qJMGWPsgxBCiOTl1Stj2e1WrYxZhkX8SfLA/1sf9uyBw4ftHY0Q\nQghrWrwYbt405vcR1iHJQ4gmTaBYMRg92t6RCCGEsJaAAGM24RYtoEgRe0eTfEjyEMLBAUaMgO3b\njfEPQgghkr4lS+Dvv43WZWE9kjyE8dFHRuvDyJH2jkQIIUR8BQQYswg3b26saSSsx2bJg1KqilLK\nVyl1UykVrJRqHIcy1ZRSp5RSL5VSV5RS7WwVX1QcHODrr2HHDhn7IIQQSd2KFXDtmrQ62IItWx7S\nAqeBHiHfxziLglIqP7AF2A2UAqYC85RSdWwYYyShGaq0PgghRNIVGGi0OjRuDKVL2zua5MfJVhVr\nrbcB2wCUUnEp8gXwl9a6f8j3l5RS7wNewA6bBBmF0NaHjz+GX36BSpUS6sxCCCGs5ccf4coVWLnS\n3pEkT4lpzENFYFeEbTtCtieoZs2gRAlpfRBCiKQoKMiYt6d+fWMFZWF9iSl5yA7cibDtDpBBKZUq\nIQMJbX3YtQsOHUrIMwshhIiv1avhjz9g+HB7R5J82azbIqE0XtmYTEczkSVtFnJnyE3uDLkpmKkg\nJbOXpHi24qRxTmNRvU2bQsmSRuvDrojtIUIIIRKlwEDj53b9+lChguX1PHv9jN/u/Ma5u+e49t81\nrj++zo1HN3j06hHPXj/j6eunvJv7XTZ+stFqsScliSl58AdyRNiWHXistX4Vbant8CTNE+4H3edM\n4BleBr7kZZGX6OIaB+VAsazFqJavGtXzVadavmpkSpMpTsGEtj40bw4HD0Llyha/LyGEEAlk+XK4\nfNn8sQ73n99nr99edl3dxYG/D3Dp/iWCdTCOypHcGXLj4eZBHrc8lExdElcXV9I5p6Oge9JYYWvl\nypWsjHBBHj16FK86lU6ApSSVUsFAE631TzEcMwH4UGtdMsy2FUBGrfWHURzvCZw8efIknp6e4fY9\nD3jOhbsXOHvnLEduHGGv316uPbyGo3Kkev7qNC/SnKZvNyW7a/YY4w4ONta8yJIFdu827z0LIYRI\nWAEB8PbbRqvxhg2xH3/7yW3WXVzHjxd+5Jfrv6DRFM5cmOr5qvNOrncok7MMxbIWI5VTgvacJ4hT\np05R1hgQUlZrfcrc8jZLHpRS6YBCId+eAvoC+4D7WusbSqnxQC6tdbuQ4/MB54HvgYVADWAaRkKx\nM4r6o00eouL30I+tV7ay7uI69vntA6DBWw3oUrYLdQvWxdHBMcpyGzYYAyj374cqVeL67oUQQiS0\nuXOhSxc4e9ZIIKISGByI7yVfZp6Yya6ru3B0cKROwTo0L9Kc2gVqk8ctT8IGbSeJOXmoBuwJ+VYD\noc9rLtJad1RKLQTyaq1rhClTFfAGigI3gG+01kuiqd+s5CGsf5//y+oLq5lzcg5n75zFw82D3hV6\n06VsF1xdXMMdGxwMnp7g7m4snCWEECLxefUKChWCihWNxzQjevDiAT8c/4FZJ2Zx88lNKuauSKcy\nnWhapCnuadwTPmA7S7TJg63FJ3kIpbXmxK0TfH/8e5afW06GVBnoWb4nvSr0CvefaeNGYwDl3r1Q\nrZp14hdCCGE9338PvXrB+fPhF8C6++wu3ke8+f749wQGB/JZyc/oVq4bpXOk7JmjJHmIR/IQ1vVH\n15l8eDJzT83FxdGFIZWH0LN8T9I4p0FrKFcOUqUyHt2M25xXQgghEsKLF1CwINSsCUuXGtuevHrC\nxF8m4v2rNw7KgR7letC3Yl+ypctm32ATifgmD4lpnge78nDzYFq9afj18eOzkp8xdM9QCs8ozNKz\nSwHNmDHGehdbt9o7UiGEEGHNng137xpPyAUFBzHv1DwKTS/E5COT6V2hN369/ZhQa4IkDlYkyUME\n2dJlY/qH0/m9++9UyF2BthvbUnVRVfJ4/k7lyjB0qDEOQgghhP09ewbjx0O7dvAw7QnemfsOn/t+\nTq0Ctbj05SXG1RxH5rSZ7R1msiPJQzQKZS7Emo/XsLvtbu48u0Pp2aXI23EIZ86/YN06e0cnhBAC\njLEO9588g7p9qTDPmBXq106/sqzZMjzcPOwcXfIlyUMsauSvwdkvzjKs8jBW/zOZdP086T/lJIGB\n9o5MCCFStidPYOzyvaTpV4wVV2YyoeYEjn9+nAq54zG1pIgTSR7iILVTar6u9jWnu54mT460/F37\nXVrMGENgsGQQQghhD6+DXlPfexCPm9akeO58nO92nv6V+uPkkJgmTk6+JHkwQ9GsRTnb8whv3x/I\nhv++pvKCKlx/dN3eYQkhRIpy+f5lKsx5j4OBk3nv+XgOfb47yUwVnVxI8mAmF0cX1vUYAwsPcun2\nTTxne7L9z+32DksIIVKE1RdW4znbk+v+T0i9/FfW9xsY7QzBwnYkebBA0aLwWbX3cJ5/irI5ylNv\neT1G7htJUHCQvUMTQohkKTA4kP47+tNybUtqeTTkmfdJvmpdluwxL1EkbESSBwuNHAkPbmam+u3N\njK4+mtH7R9NwZUMev3ps79CEECJZuffsHnWW1sH7V2+863qT45cVpHN25auv7B1ZyiXJg4UKFIDO\nnWHStw70LDWMbW22cfjGYSotqITfQz97hyeEEMnC7/d+p9zccly4d4HdbXdTP3Mf5s1VDB4Mbm72\nji7lkuQhHoYNg+fPwdsb6hSsw+FOh3ke8Jzyc8tz5MYRe4cnhBBJ2p5re3hv/ntkSJWB458fp2q+\nqowYATlyQI8e9o4uZZPkIR7eeMP4Dzx5sjE1atGsRTna+SiFsxSm+uLqrLmwxt4hCiFEkrT4zGLq\nLqtLhdwVONTxEB5uHpw+DatWGd3GadLYO8KUTZKHeBo8GBwcYMwY4/ssabOw67NdNC/anJZrWzLz\n+Ez7BiiEEEmI1ppR+0bRflN72pdqz+ZWm8mQKgMAQ4bAW29B+/b2jVGAzKYRT5kzw6BBxoIsvXsb\nK7ulckrF0qZLyZImC91/7s695/cYXmU4SpbjFEKIaAXrYLy2eeFzzIcx1ccwpPIQ08/Nfftg2zZY\nswac5DeX3UnLgxX07g3ZshljIEI5KAemfjCVb6p/w9f7vqbX1l4Ea1lRSwghohIUHETnnzoz/dh0\nfvjwB4ZWGWpKHLQ2WnnLloXmze0cqACk5cEq0qaFUaOMpy/69YN33jG2K6UYVmUYWdJmofuW7jwN\neMq8hvNkQhMhhAjjddBrPl3/KRsubmBJ0yW0Kdkm3H5fX/j1V9i5E6QBN3GQlgcradcOihSBgQON\nLDmsL975gqVNl7Lk7BI6/dRJJpMSQogQrwJf0fTHpvx06SfWtVgXKXEICjLGOtSoAbVq2SlIEYm0\nPFiJkxNMmACNG8OOHVC3bvj9n5b8FAflQJsNbQjWwSxsvFBaIIQQKdrroNc0X92c3Vd349vKlzoF\n60Q6ZtkyuHABFiywQ4AiWpI8WFHDhvD++0brQ+3axlMYYbUq0QoH5cCn6z8lWAezuMliSSCEEClS\nQFAALda0YOfVnfz0yU9RJg4vXsDw4cY4h/Ll7RCkiJYkD1akFHz7Lbz3HixfDp99FvmYlsVbopSi\n9brWODk4saDxAhyU9B4JIVKOgKAAWq1rxc9XfmZDyw3UfbNulMdNmwa3b8P48QkcoIiVJA9WVrEi\nNG1qPHnx8ceQOnXkY1oUa0FQcBCfrv+UDKkyMO2DafIYpxAiRQgKDuKzDZ+x6dIm1rVYR/236kd5\n3L17MG4cdOsGhQolcJAiVvInrw2MHw83b8IPP0R/TKsSrZhZfybTj03n631fJ1xwQghhJ1prum/p\nzprf17Cq+SoaFW4U7bGjRxutuSNGJGCAIs6k5cEGChc2HtscOxY6doSMGaM+rus7XXn06hEDdw3E\nLZUb/d7rl7CBCiFEAhqxdwRzTs1hQaMFNC8a/YQNly/DrFnGzL1ZsiRggCLOpOXBRr7+Gl6+NJ7A\niMmASgMY8v4Qvtr5FfNPzU+Y4IQQIoH5HPVhzMExTKw1kQ5lOsR47ODBkDMn9OqVQMEJs0nyYCM5\nc8JXX8HUqeDnF/OxY2qMods73ei6uStbLm9JkPiEECKhrDi3gt7bevNVxa8YUGlAjMf+8gusX2+0\n3MriV4mXJA821L8/uLsbWXRMlFJMrzedBm81oMXaFpy4dSJhAhRCCBvb8dcO2m1sR7tS7ZhYe2KM\nx2pt/NwsUwY+/TSBAhQWkeTBhlxdjex51So4ciTmYx0dHFnRfAUlspWg/or6XPvvWsIEKYQQNnLu\nzjk+Wv0RdQrWYW7DubE+lr5unfGzctKkyPPkiMRFbo+NtW0LpUtD376Rp62OKK1zWnxb+ZLeJT31\nltfj/vP7CROkEEJY2e0nt6m/oj4F3Qvy40c/4uzoHOPxr18bKxTXqwc1ayZQkMJikjzYmKMjTJli\nLOqyenXsx2dNl5VtbbZx/8V9Gq9qzMvAl7YPUgghrOjZ62c0WtWIIB2EbytfXF1cYy0zcyZcu2ZM\ntCcSP0keEkD16saaFwMHGk9gxOZN9zfxbeXLydsn6eLbBR1bk4UQQiQSoZNAXbx3kc2tNpM7Q+5Y\ny/z3nzGvQ4cOULx4AgQp4k2ShwTy7bfGxFFTp8bt+Hdzv8uCRgtY+ttSJh2eZNvghBDCSgbuGsim\nS5tY9dEqyuQsE6cyo0YZ3RZjxtg4OGE1kjwkkLfegh49jOlW79yJW5lWJVoxtPJQBu0ahO8lX9sG\nKIQQ8TT/1HwmH5nM1LpTafBWgziV+eMP+P57GDoUcuSwcYDCaiR5SEAjRhhLd39txmzUo6uPpvHb\njWm9vjXn7563XXBCCBEPR24coduWbnxR9gt6VugZ53L9+kGePNCnjw2DE1YnyUMCcnc3Eoi5c+F8\nHPMAB+XA0qZLKZCpAI1WNuLf5//aNkghhDDTrSe3aLa6GRVyV2BavWlxLrdtG/z8s/FoZlSLCIrE\nS5KHBNa9OxQsaMw+GVeuLq789MlPPH39lI9Wf0RAUIDtAhRCCDO8DHxJsx+b4agcWfvxWlwcXeJU\nLiAAvLygalVo1szGQQqrk+Qhgbm4GFn29u2wxYyZqPNmzMv6luv55cYvDNw10HYBCiFEHGmt6bGl\nB2f8z7Ch5Qayu2aPc9lZs+DSJfD2NlbPFEmLJA920KiRMQmKlxe8ehX3cu97vM+UOlPw/tWbH8//\naLsAhRAiDn44/gMLzixgTsM5lHujXJzL3b9vjP3q1MmYilokPZI82IFS4OMDV6/CtLh3DwLwZfkv\naV2iNZ1+6sSFuxdsE6AQQsTiwN8H6LO9D70r9KZtqbZmlR05EgID5dHMpEySBzspWhR69oRvvoFb\nt+JeTinFnAZzKJCpAM1WN+PRy0e2C1IIIaLg/9SflmtbUilPJSbVNm8emgsXjNkkhw+H7HHv5RCJ\njCQPdvT118aSswPNHMKQziUd61uu587TO7Tf1J5gHWybAIUQIoKg4CBar2sNwKqPVsW6ZkVYWhvr\n/OTLB7162ShAkSBsmjwopXoopfyUUi+UUr8qpaLtFFNKVVNKBUd4BSmlstkyRnvKmBHGj4dly4w1\n7M3xpvubLG26lI1/bOTbX2QyeCFEwvh639fs/3s/K5uvJIerebM6bdkCO3bAd99BqlQ2ClAkCJsl\nD0qplsBk4GugDHAW2K6UyhpL0UJAjpBXTuCerWJMDDp0gHfeMbLwoCDzyjYs3JBhlYcxdM9Q9vnt\ns0l8QggRauuVrYw9OJYx1cdQLV81s8q+fAm9e0OtWsZaPyJps2XLQ19gjtZ6sdb6D+AL4DnQMZZy\n/2qt74Z5JetVoRwcYPp0OHUKFiwwv/zIaiOpmrcqrde15u6zu9YPUAghgOuPrtNmQxvqF6rPwPfN\nf1z822/hxg3j5508mpn02SR5UEq5AJ7ArtBtIUnALqBiLMXPKKVuKaV2KKXes0V8ic2770K7djBk\niLG6nDkcHRxZ3mw5gcGBtN3QVsY/CCGs7nXQa1qsaUF6l/QsaboEB2Xerw4/P6OL1ssL3n7bNjGK\nhGWrlocsgCMQcQmouxjdEVG5BXQFmgHNgRvAPqVUingKePx4Y84Hc9a9CJUzfU6WNVvG9r+2y/gH\nIYTV9d/Rn1O3T7H649W4p3E3u7yXF2TObDxhIZIHJ3sHEEprfRm4HGbTEaVUQcALiPYhYi8vL9zc\n3MJta9WqFa1atbJJnLaSM6ex7sWgQfD551CihHnl6xSsw+D3BzNszzAqe1Smkkcl2wQqhEhRfrr0\nEz7HfJhebzrl3yhvdvlt22DjRli1ClxdbRCgiNXKlStZuXJluG2PHsXvMX9liyEFId0Wz4DmWuuf\nwmxfDGTQWjeNYz2TgEpa60jdF0opT+DkyZMn8fT0tFLk9vX6NZQsaSxLu3ev+f2CgcGBVFtUjeuP\nrnO662kyp81sm0CFECnCzcc3KTmrJJU9KrOh5QaUmT+UXr2C4sWNVTN375axDonJqVOnKFu2LEBZ\nrfUpc8vbpNtCa/0aOAnUCt2mlHIAagJHzKiqNEZ3Rorg4mIMJtq/33h801xODk6sbL6SZwHP6LCp\nA8l8rKkQwoaCgoNos6ENaZzSML/RfLMTB4ApU4zxDjJIMvmx5dMWU4DPlVJtlVJFgJlAGmAhgFJq\nfEhLBCHf91FKNVJKvamUKq6UmgpUA763YYyJTu3a0LKlseqmuYMnAfK45WFxk8X4XvZl6q9TrR+g\nECJFmPjLRPb77WdZs2UWtWJev25MP92rFxQrZoMAhV3ZLHnQWq8GvgJGA6eBksAHWuvQeRtyAHnC\nFHHGmBfiN2AfUAKopbXea6sYE6spU+DFCxg61LLyDd5qgNe7XgzaPYiz/metG5wQItk7cuMII/aO\nYGjloWbP5xCqXz/IkMGyQeAi8bPJmIeEkBzHPIQ1bZoxQvnoUSgX98XqTF4FvqL8vPIEBgdy4vMT\npHFOY/0ghRDJzqOXjyg9uzQ5XXNyoMMBnBzMH1e/a5fRirpsGXz6qQ2CFPGWKMc8iPjr0QNKlYJu\n3cyfeRIglVMqVjRbwdX/rjJg5wDrByiESHa01nTd3JUHLx6wovkKixKHly+he3eoXBlat7ZBkCJR\nkOQhkXJyglmzjJknZ82yrI5i2YrxXe3vmHF8Bj9f+dm6AQohkp1FZxbx44UfmdNgDvky5rOojgkT\njEGSs2bJIMnkTJKHRKxCBWPOhyFDwN/fsjq6l+vOh4U+pMOmDjJ9tRAiWn8++JOeW3vSsXRHWhZv\naVEdly4ZE9717w9Fi1o5QJGoSPKQyI0fbzzC+dVXlpVXSrGgkbFoRsdNHeXxTSFEJKHT2+dwzcG0\netMsqkNro7sid24YNszKAYpER5KHRM7dHSZNguXLYc8ey+rI7pqdhY0XsuXKFmaemGndAIUQSd7E\nQxM5evMoS5suxdXFsmkgly0zfkb98AOkkfHZyZ4kD0lAu3bG4KPu3Y0Z2yzxYaEP+bLcl/Tb0Y/f\n7/1u3QCFEEnWqdunGLl/JIPfH0zFPLGtWxi1Bw+MRzNbtoS6da0coEiUJHlIApSCmTPh6lWjG8NS\n39b+lgKZCtBmfRteB722XoBCiCTpRcAL2qxvQ4lsJRhRdYTF9QwcaEyv7+1txeBEoibJQxJRrJix\naNa4cXDhgmV1pHFOw9KmSzl39xxjDoyxboBCiCRnyO4hXP3vKsuaLcPF0cWiOg4dgnnzjD9scua0\ncoAi0ZLkIQkZMgQKFIAuXSA42LI6PHN6MrzKcMYdHMfxm8etG6AQIsnYfXU3U49OZUKtCRTNatmj\nEa9fwxdfGE+Gde1q5QBFoibJQxKSOjXMnQuHD1s+9wPA4PcHUyZnGdpubMuLgBfWC1AIkSQ8fPmQ\n9pvaUyN/DXpV6GVxPVOmwB9/wOzZ4CC/TVIUud1JTOXKRoY/aBD8849ldTg7OrOkyRKu/XeNoXss\nXEBDCJFkffnzlzx59YRFjRfhoCz7NXD5MowaZUyjX6qUlQMUiZ4kD0nQxIng6mo8fWHptA1FshZh\nXM1xTP11Kvv99ls3QCFEorX6wmqWn1vO9x9+Tx63PLEXiEJwsDGB3RtvGAmESHkkeUiC3Nxgxgzw\n9YW1ay2vp8+7faictzLtN7Xnyasn1gtQCJEo3Xl6h25buvFx0Y9pXcLyhSfmzIEDB4xu1LRprRig\nSPRtQaYAACAASURBVDIkeUiimjWDpk2hZ0/47z/L6nBQDixqvIh/n/9L3+19rRugECLR6bm1Jw7K\nge8//B5l4cITN27AgAHGwO3q1a0coEgyJHlIwmbMgBcvjA+ypfJnys+UOlOYd3qeLJ4lRDK24eIG\n1vy+hun1ppM1XVaL6tDaWOk3fXr49lsrByiSFEkekrBcuYzxD/PmWT51NUBnz87Ue7MenX/qzIMX\nD6wXoBAiUfjvxX90/7k7jQo3omUxyxa9Ali5ErZsMZ72cnOzYoAiyZHkIYnr0gWqVoVOneDpU8vq\nUEoxr9E8Xga+pOfWntYNUAhhd3139OVFwAtm1p9pcXfFvXvQqxd88gk0bGjlAEWSI8lDEufgAPPn\nw927xhSxlsqVPhfTPpjGinMr+OnST9YLUAhhV9v/3M6iM4uYXGcyudLnsrie3r2Nf6dZtuimSGYk\neUgGChaECROM1ez27rW8njYl21C/UH2+2PwF/72wcBSmECLRePLqCV02d6Fm/pp0LNPR4np8fY0u\ni2nTIFs2KwYokixJHpKJHj2gShXo2DF+3RezG8zmecBzvLZ7WTdAIUSCG7J7CP8+/5e5Deda3F3x\n33/GFNQffgitLX+6UyQzkjwkEw4OsGCB0X0xaJDl9byR4Q2m1J3C4rOL5ekLIZKwQ9cPMeP4DMbV\nGEf+TPktrqdXL3j+3JjbwcL8QyRDkjwkI6HdF99/H7/uiw6lO1C3YF26+Hbh0ctH1gtQCJEgXgS8\noNNPnaiYuyJflv/S4no2bIBly8DHx5hNUohQkjwkM9bqvpjbcC6PXz2m345+1g1QCGFzo/aPwu+h\nH/MbzcfRwdGiOu7dM9bRadwY2rSxcoAiyZPkIZkJ7b64cyd+3Rd53PLwXZ3vmH96Pjv+2mG9AIUQ\nNnXy1km+O/wdX1f9miJZi1hUR+hkUMHBxoqZ0l0hIpLkIRmyVvfF556fUzN/TT73/VzWvhAiCXgd\n9JqOP3WkRPYS9H+vv8X1rFoF69bBzJmQPbsVAxTJhiQPydSXXxqTR7VrB48sHLYQOnnU/ef3GbAz\nHnNgCyESxLe/fMuFuxdY0GgBzo7OFtVx+7bR/dmyJXz8sZUDFMmGJA/JlIMDLF5sJA5fWj5einwZ\n8zGx1kRmnZzFnmvxmANbCGFTv9/7nW8OfMPASgMpk7OMRXVobcxa6+JitFwKER1JHpKxvHmNxbOW\nLYPVqy2vp1u5blTNW5XOP3Xm6WsLR2EKIWwmKDiIjps6UiBTAYZXHW5xPYsWwebNxlLbmTNbLz6R\n/EjykMy1aQMffWRM8nLzpmV1OCgH5jWah/9Tf4bsHmLdAIUQ8eZz1Idj/2vvvqOjKto4jn8nISSE\n3qQqSBeV3hFEeg0oSBHpvUSkqTQBC0gJvSi9CJGmoUhTqoSeCPgiTUTpvQSBkJDM+8csGhFIdtnN\nTbLP55w9wO6dm1+WTfbZuVPO7WW232x8kvk4dI5Tp8wS1G3ayN4VInZSPCRxSpkd8Hx8oF07M3ra\nEfky5GNEtRFM2TuF4NPBzg0phHDYyesnGbR5EP5l/KnwfAWHzvHggfmgkSmTWdNBiNhI8eAGMmaE\nuXPhhx+e7Tqmfxl/yuQoQ8fVHQl/EO68gEIIh2it6bS6E1lSZeHzap87fJ6RI2H3bli4ENKkcWJA\nkWRJ8eAmatUyAyc/+ACOHHHsHJ4enszym8XJ6yf5fLvjv6iEEM4xM3QmW/7YwswGM0mVPJVD59iz\nB4YPh0GDoGJFJwcUSZYUD25k1CjIndt0T0ZEOHaOV557hYGVBvJF8BccunTIqfmEEHF3Nuws/Tb2\no0PxDlTPU92hc9y+DS1bQqlSMMTxcZbCDUnx4EZ8fU235KFDMHSo4+cZ8NoACmQsQMdVHYmKjnJe\nQCFEnGit6bqmK6m9UzO25liHz/P++3DxopmR5eXYshDCTUnx4GZKlYJPPzW9EJs2OXYO72TezGow\ni/3n9zNxz0TnBhRCxCrwf4F8f+J7ptebTjqfdA6d49tvzVL2kyZBvnxODiiSPCke3NAHH0C1auby\nxeXLjp2j/PPl8S/jz+DNg/n9xu/ODSiEeKLLdy7z3rr3aPZyM/wK+jl0jnPnoFMneOstMwtLCHtJ\n8eCGPDxgwQKIioK2bR2fvvl5tc95LuVzdFrdCa21UzMKIR7vvXXvATC5zmSH2kdFQevWZvr2jBmy\n6ZVwjBQPbipbNrN89bp1MGGCY+dIlTwVX9X/is2nNjP3wFznBhRC/MfKoytZcngJk+pMInPKzA6d\nY+RIs2HewoWyiqRwnBQPbqxOHejTx2zdHRLi2Dlq5atF66Kt6buxLxduX3BuQCHE326G36Tb992o\nX6A+LV5p4dA5tm83g6WHDIGqVZ0cULgVKR7c3MiRUKQING9upm05YlzNcXh5eOG/zt+54YQQf+u7\noS93Iu/wZb0vUQ5ca7hyBVq0gEqV4OOPXRBQuBUpHtxc8uTwzTdmulb37o6dI6NvRibXmcyKIyv4\n7sh3zg0ohODH339kzoE5jK0xlhxpctjdPjra7FkREQGLFoGnpwtCCrfi0uJBKdVDKfWHUuqeUmq3\nUqp0LMdXUUqFKqXClVInlFJtXJlPGPnywfTpZq73vHmOnaPpy01pUKABPdb24Gb4TafmE8Kd/RXx\nF51Wd6Lqi1XpWKKjQ+cYN86Mb1qwAHLYX3sI8R8uKx6UUs2AAGAoUBw4CGxQSj12lI9S6kXge2AT\nUBSYAMxSStV0VUbxj3ffNVO2uneHX36xv71Simn1pnEn8g79N/Z3fkAh3NSgTYO4fOcyMxvMdOhy\nxe7dMGAA9O9vxjkJ4Qyu7HnoA8zQWs/XWh8FugJ3gfZPOL4rcFJr3V9rfUxrPRVYDvR2YUYRw5Qp\nkD8/NG4MYWH2t8+ZJiejq49m1s+z2Hxqs/MDCuFmgk8HM3nvZD6v+jl50uexu/2NG2Y8U6lS8Lls\nRyOcyCXFg1IqOVAC+PHhfdosBPAjUP4JzcrHPN5m41OOF07m6wvLl5vxDx07giNLN3Qq2YnKuSrT\naXUn7kbedX5IIdxE+INwOqzqQNmcZfEvY/9g5Oho05t46xYEBsry08K5XNXzkAnwBC49cv9lIOsT\n2mR5zPGXgDRKKW/nxhNPkj+/2b572TKY7MAaNB7Kg5kNZnIu7BxDtzzDBhpCuLlPtn3CqZunmO03\nG08P+0c4jh4NK1ea9Vxy53Z+PuHeklkd4Fn17t2btGnT/uu+Fi1a0KKFY/Oghbls0bs39OsHZcpA\nuXL2tS+QsQDDqgxj0OZBNHulGaWyl3JNUCGSqNALoYwOHs2wKsMonLmw3e03bTJbbA8cCH6OrWAt\nkpDAwEACAwP/dd+tW7ee6ZzKFcsK2y5b3AEaa61Xxbh/PpBGa/3mY9psA0K11r1j3NcOGK+1/s/O\nL0qpEkBISEgIJUqUcPr34O4iI6FKFThzBkJDIVMmO9tHRVJ2VlmidBT7O+3Hy1P6TIWIi8ioSMrM\nKoPWmn2d9tn9s3P2LJQoAUWLwvr1Mi1TPF5oaCglS5YEKKm1DrW3vUsuW2itI4AQ4O9N5pVSHkA1\nYNcTmu2yPR5TDWCnKzKKp/PygiVL4N49MxPD3v0vvDy9mO03m8OXDzNm5xjXhBQiCRqzcwy/XPqF\nOQ3n2F04RETA22+bfSsWL5bCQbiOK2dbjAM6KaVaK6VeAqYDKYC5AEqpkbaeiIe+BPIopUYppQop\npboDbwPjXZhRPEXOnOYX0MaNZklbexXPVpx+FfrxybZPOHr1qPMDCpHEHLlyhOHbhtO/Qn9KZLO/\nR7VPH7PU/LJlkNmxrS+EiBOXFQ9a66VAP+AT4GegCFBba33FdkhW4PkYx/8B1MP0NhzATNHsoLX+\nwVUZRexq1IARI+Czz+Dbb+1vP/T1obyQ9gU6rupItHZw+04h3EBUdBQdVnXgxXQvMrSK/dX6okUw\ndSpMnAhly7ogoBAxuHSFSa31VK11bq21j9a6vNZ6X4zH2mmtqz5y/DatdQnb8fm11gtcmU/EzYcf\nmq7Q1q3h8GH72qbwSsEsv1kEnwlm2r5prgkoRBIwZe8Udp/dzWy/2fgk87Gr7aFD0KmT+Rnt2tVF\nAYWIQfa2ELFSCubMgTx5oFEjs/CMPSrnqky3Ut346MeP+PPmn64JKUQi9vuN3xm4eSA9Sveg4gsV\n7Wp79So0bAgFC5pl5h1YhFIIu0nxIOIkVSoICoJr1+CddyAqyr72X1T/ggwpMtBlTRdcMcNHiMRK\na03n1Z3J7JuZkdVH2tU2MtL0Ct65Y9Z08PV1UUghHiHFg4izPHnMDIyNG2HwYPvapvFOw5f1v2TD\nyQ0sOChXo4R4aPbPs9l0ahMzGswgVfJUdrV9/30IDoYVK+CFF1wUUIjHkOJB2KVGDRg1Cr74ApYu\nta9t3fx1ebfIu/Te0JuLf110TUAhEpFzYefou7Ev7Yq1o2Ze+/YAnDEDpk0ze9JUquSigEI8gRQP\nwm59+0KLFtC2rZkWZo8JtSaQzCMZPdf2dEk2IRILrTXd13bH18uXgJoBdrX96Sfo0cPcOnd2UUAh\nnkKKB2E3pWD2bHj1VbP07blzcW+b0TcjU+pOYcWRFaz4dYXrQgqRwC05vIRVx1Yxvd500qdIH+d2\nf/5plpCvVAnGyyo4wiJSPAiHpEhhBmh5ekKDBmbAVly9XfhtGhVqRI+1Pbhxz86pG0IkAVfuXMF/\nnT9NX25Ko0KN4tzur7/MjKeUKc1lQ9kpU1hFigfhsKxZYfVqOHHCviWslVJMrTuV8Afh9NnYx7Uh\nhUiAeq3vRbSOZnKduG9dGxUFzZvDyZOwapX9+80I4UxSPIhnUrQoBAaaX2YDBsS9XfbU2QmoGcC8\nA/PYeHKj6wIKkcCsPraawP8FMrH2RJ5L+Vyc2/XubTa6WrbMXDIUwkpSPIhnVr8+BATA6NFmLERc\ntS/enmovVqPz6s78FfGX6wIKkUDcDL9JlzVdqF+gPi1fbRnndpMmweTJZnZFrVouDChEHEnxIJyi\nVy/o0sUsjbtlS9zaKKWY2WAmV+5eYeCmga4NKEQC0GdDH+5E3uHLel+i4rgU5KpVZj2H/v1lZoVI\nOKR4EE6hlPlk9MYb8NZbcd8D48X0LzKi6gim7J1C8Olg14YUwkIbftvA3ANzGVdzHDnS5IhTm5AQ\nMy36rbfM2ipCJBRSPAin8fKC5cshVy6oXRvOnIlbu55lelI2Z1k6rOpA+INw14YUwgJh98PotLoT\n1fNUp33x9nFqc+aMmcn0yiuwYAF4yG9rkYDIy1E4VZo0sHatmcJZpw7cvBl7G08PT2b7zebUzVN8\nuu1T14cUIp59+MOHXL93nZkNZsbpcsX166YAT57cXLaQPStEQiPFg3C67NnNqPALF8xuf+Fx6Ewo\nnLkwQyoPYVTwKH6+8LPrQwoRT7ac2sKXIV8yqvoocqfLHevxd++aHodLl2DDBsiSxfUZhbCXFA/C\nJQoVMmtA7N0LrVrFbQ2IDyt+yMvPvUz7Ve2JjIp0fUghXOxOxB06ru5otqUv3S3W4x88gGbN4MAB\n04NXsGA8hBTCAVI8CJepUMGsAfHtt2aOemw7cXt5ejHHbw6HLh0iYJd9a/0LkRAN3jyYC7cvMNtv\nNh7q6b9utTazKdavN7tklikTTyGFcIAUD8KlGjWCqVPNPPWRI2M/vmT2kvQr349hW4dx9OpR1wcU\nwkWCTwczcc9EPqv6Gfky5Iv1+EGDYO5cc6tdOx4CCvEMpHgQLte1Kwwfbn45TpkS+/HDqgwjV7pc\ntA1qS1R0lOsDCuFk9yLv0X5Ve8rkKEOvsr1iPX7iRFNcBwSYpd6FSOikeBDxYsgQ6NMH/P1h/vyn\nH5vCKwXzGs5j3/l9cvlCJErDtw3nj5t/MKfhHDw9PJ967Ny5ZhGofv3Mz4gQiYEUDyJeKAVjx0LH\njtC+vRkH8TTlny9P3/J9GbJlCL9e+TV+QgrhBPvO7WPMzjEMfX0ohTMXfuqxS5aYn4nOnc3y7kIk\nFlI8iHijFHz5Jbz9ttkdcGMs+2F98sYn5EmfhzZBbXgQ/SB+QgrxDO4/uE/7Ve0plrUY/Sv0f+qx\nq1aZSxTvvAPTp5ufDyESCykeRLzy9ISFC6FmTTOYcseOJx/rk8yH+Y3mE3ohlNHB8rFMJHzDtg7j\n2NVjzG04Fy9Prycet3GjKaIbNjSXLWT1SJHYyEtWxDsvL7OtcNmyULcu7N795GPL5CjDhxU/ZNjW\nYfxy6Zf4CymEnXaf3c3onaMZVmUYRbIUeeJx27ebwrl6dVi8GJIli8eQQjiJFA/CEilSmG7bokXN\nFsNPKyCGvj6UAhkL0CaojSweJRKku5F3aRPUhlLZS/FBxQ+eeNyePWYL+/LlzT4wyZPHY0ghnEiK\nB2GZ1KnNKnpFipgCYs+exx/nncyb+Y3mc+jSIUbuiMNiEULEs4GbBnL61mnmN5pPMo/HdyXs2gU1\napjX+8qVpoAWIrGS4kFY6mEB8eqrZhzEkwqIktlLMuC1AXy6/VMOXDwQvyGFeIqtf2xl4p6JjKg6\ngkKZCj32mB07zOu7eHGzgmSqVPEcUggnk+JBWC51ali3LvYCYsjrQyicuTBtgtoQERURvyGFeIzb\n92/TbmU7KueqTK9yj18Mavt2s2JkqVKmUJbCQSQFUjyIBOHRAmLXrv8ek9wzOfMazuPXK7/y2fbP\n4j+kEI/ot7EfV+5cYW7DuY/du2LrVrM1fbly8P33kDJl/GcUwhWkeBAJxsMComhRc234xx//e0zx\nbMUZXGkwI34awb5z++I/pBA2639bz4zQGYytOZY86fP85/FNm8xsotdeMzvM+vpaEFIIF5HiQSQo\nqVOba8KVKkG9emZg2aMGVhpIsazFaPVdK+5G3o3/kMLt3bh3g46rOlIjTw26lOzyn8dXrjSv39df\nl8GRImmS4kEkOL6+5heunx80bgyLFv37cS9PL75+62v+vPUn/Tc+fRU/IVyh1/pe/BXxF7P9ZqMe\nWRpy/nzzuvXzg6Ag8PGxKKQQLiTFg0iQkieHwEBo3RpatTLLWsdUKFMhxtQYw7T901h3Yp01IYVb\nWnZ4GQsPLWRi7Yk8n/b5fz02YQK0bWv2bwkMBG9vazIK4WpSPIgEK1kymDXL7MTZrZvZsljrfx7v\nUboHtfLWov2q9ly9e9W6oMJtnA07S5c1XWhSuAmti7b++36t4eOPoXdv+PBD+OorsxS7EEmVFA8i\nQfPwMJ/mhg6FgQOhZ0+IijKPKaWY03AOEVERdF7dGR2zshDCyaJ1NG2D2pLCKwVf1f/q78sVUVGm\nwP30Uxg1Cr74Qja5EkmfFA8iwVMKhg2DGTPMJ7rGjeGubZxk9tTZmVF/Bt8d/Y55B+ZZGVMkcRN2\nT2DTqU3MbzSfDCkyAOZ12Lix2RVzxgz44MkrUwuRpEjxIBKNTp3MQMoffoBq1eCq7UpF48KNaVO0\nDe+tf4/fb/xubUiRJB28eJABmwbQp1wfquepDsDly/DGG+b1uHKleX0K4S6keBCJSr16ZuGdkyeh\nQgX43VYrTKoziUy+mWj9XWuioqMszSiSlnuR92j5bUsKZizIiGojADh2zGxu9eefsG2b2exKCHci\nxYNIdEqXNitQam1W7gsOhjTeaVjQaAE7z+xkVPAoqyOKJGTApgH8dv03FjdejHcyb3bsMIWrt7fZ\nDbZUKasTChH/pHgQiVLevKaAKFQIqlaFefOgUq5KfPTaRwzdOpQ9Z5+wQYYQdth4ciMT90xkVPVR\nvPLcKyxcCNWrm2XUg4Mhd26rEwphDZcUD0qpDEqpRUqpW0qpG0qpWUqpp67qrpSap5SKfuS21hX5\nRNKQKZNZwrpVK2jXDvr3h48rDadktpI0X9GcW+G3rI4oErGrd6/SNqgtNfPWpHspf/r1M+uOtGgB\nGzZA+vRWJxTCOq7qeVgEvARUB+oDlYEZsbTRwDoga4xbCxflE0lE8uQwc6aZzjluHDR5y4sZtQK5\nfu86XdZ0kembwiHROpo2QW2IjI5kQpW5+DXwYPx4GD8e5syRxZ+EcHrxoJR6CagFdNRa79NaBwP+\nQHOlVNanNQUitNaXY9zko6OIlVLQq5fZ7njHDmhR+0WGl5zBksNLmPPzHKvjiURo/K7xrD2xlhGl\nFtCoWnb27DG9De+/L2s4CAGu6XkoD9zUWofGuG8TEA2UfUo7DVRRSl1SSh1VSk1TSmVwQT6RRNWq\nZQawPXgAHzduRvX0HfFf58+vV361OppIRPae28tHmz6iUeZ+9GtUh2TJYO9eM9ZBCGG4onjIClyO\neYfW+gFw3fbYk6wHWgFVgQ+B14F1SikZ1CnirFAh2LfPFBI/9ptIiojcNFvenHuR96yOJhKBW+G3\naL68OZkiSxD03udUq2YG5ubLZ3UyIRKWOL8xK6W+eMyAxkdvBR0NorVeorVeo7U+rLVeiRkrURqo\n4ug5hXtKkwaWLoVxo3y5OXMJhy8cp3tQP6tjiQROa827Sztx+sp1rkz/hoDRyVmxwryehBD/lsyO\nY8cCsV1APgVcBJ6LeadSKhmQwfZYnGitTymlrgJ5gc1POq53796kTZv2X/e1aNGCFi1krKU7U8ps\nUlS69KvUGzaeeZ7dyb20GkObvmV1NJFA9V40gzWnlpFh2zJWBb1IxYpWJxLCOQIDAwkMDPzXfbdu\nPduQQuXs0ei2AZOHgVIPxz0opWpiZlLk0FrHqYBQSuUE/gQaaq3XPObxEkBISEgIJUqUcFp+kfRc\nuKApOqIJV1JuposKYdLwPCRPbnUqkVBERED34b8wW5Uh57W2hH4yncyZrU4lhGuFhoZSsmRJgJKP\njFGME6ePJ9BaH8GMX5iplCqtlKoITAECYxYOtkGRjWx/T6mUGqOUKquUyq2UqgasBE4AG5ydUbiX\nbNkUR0fNJqNvRr660YRyr4Vz/LjVqURCcOwYlK10m9lhb5PFKz9Hxo+TwkGIOHDVYMSWwFHMLIvv\nge1A50eOKQA8vJoYBbwKrAKOAbOAfUAlrXWkizIKN5LBNx0/dl6Od44jnCzoT4kSZr6+LAPhnrQ2\nu2AWL6H57eX2pMx6nm09lpHKJ4XV0YRIFOwZ8xBnWusbmALiacd4xPh7OFDbFVmEeKhY1mJMqz+V\nDqs6UKlDBTp0aMeqVWY75WzZrE4n4sulS9Cli9kJs1zvCexOu5zlby6nYCaHx3sL4XZkGqRwK+2L\nt6dD8Q7se647AYsOsHs3vPwyfP219EIkdVrDokVQuLDZl+Lzr39iX7r+9Cvfj8aFG1sdT4hERYoH\n4XYm15lMoUyFmHa1CTtDb1K3rtkfw88Pzp+3Op1whXPnzP/vu+9CzZqwZd8FJl9sSsUXKjKy+kir\n4wmR6EjxINxOCq8UrGi6gqt3r9L3p3YsXKgJCoL9+00vxIwZEB1tdUrhDNHRMGuW6W0ICYGgIFjw\ndSTdtzRDoVjSZAnJPFxy9VaIJE2KB+GW8qTPw4I3FxB0NIiRO0bSsCEcPgyNGpnr4RUqwM8/W51S\nPIuDB6FyZejUCZo0Mf+/DRvCgE0D2HV2F0vfXkrWVE9b9FYI8SRSPAi35VfQj48rf8zgzYNZfWw1\nGTLA3LmwfTvcuQOlSpmNkMLCrE4q7HHzJrz3HpQoAdevw+bNMHu22UJ78S+LCdgVwJgaY3jthdes\njipEoiXFg3BrQ6sMpVGhRrT8tuXfG2hVqgShoTBqlOnyLlQI5s2DqChrs4qni46G+fOhYEFTBI4a\nZXof3njDPL7v3D46rOpA66Kt6VW2l7VhhUjkpHgQbs1DeTC/0XxypcuFX6Af1+9dB8DLC/r1gyNH\nTNd3u3ZQsiT8+KPFgcVjbdpkeoratjXFwtGj5v/Py8s8fuH2BRotaUTRLEX5qv5XKNlXW4hnIsWD\ncHupvVOzsvlKboTfoPny5jyIfvD3Y88/D998Y3ZW9PWFGjWgXj1z/VxY73//g7p1zXbZ3t7w00/m\n/ytHjn+OCX8QzptL3gTgu2bf4ZPMx6K0QiQdUjwIgRlAueztZWw+tZkPfvjgP4+XK2fWBli2zHyq\nLVIEWreGEycsCCv4/Xdo3x6KFoXjx83/y86d8Nojwxi01nRe3ZmDlw6ysvlKsqWW1cCEcAYpHoSw\nqfpiVcbXGs/43eOZHTr7P48rZUbt//orTJhgLmG89JK5pHHypAWB3dDJk6ZoKFAA1q6F8ePN/0eT\nJub/51EBuwJYeGghc/zmUCp7qfgPLEQSJcWDEDH0LNOTriW70mVNFzae3PjYY7y9wd/fvJEFBMD6\n9WaQXvv25o1MON/x46ZIK1gQ1q2DsWNN78N77/HEHVJX/LqCD374gAGvDaDFqy3iN7AQSZwUD0LE\noJRict3J1MxbkyZLm/DLpV+eeGyKFNCrl3kTGzMGNmwwi0zVrw9bt8py189Ka9i2zazNUKiQeX4D\nAszz/f77ZgzKk+w6s4t3v3uXZq8047Oqn8VfaCHchBQPQjwimUcyljRZQt4Meam7uC7nbz99zeoU\nKaB3bzh1ykwVPH3ajPgvXdrspRAeHk/Bk4iICPO8lSoFVaqYHp5Zs0zR0KuXeb6f5rfrv+H3jR+l\nspdibsO5eCj5NSeEs8lPlRCPkdo7NWtarEFrTb3F9bh9/3asbZInN4MoDx40n5IzZDB7KeTMCX37\nmoGW4smOHTPTK3PkMM9bpkzmefzlF3NJyCcOkySu3r1K3UV1yZAiA0HNgmRmhRAuIsWDEE+QI00O\n1rZcy8nrJ2m+ojmRUZFxaqeU2Xxp40bzhti2remReOkl80l6/nxZtfKh27dh4UJ4/XVzaWLuXFM4\nHD5sCoeaNR8/EPJxwh+E0+ibRtwMv8m6luvI6JvRteGFcGNSPAjxFEWyFGF50+VsPLmRDqs6EK3t\n2zGrQAEzuO/sWVi82LwRtmsHzz1nZgisWOF+lzXu3TPf99tvm+ehdWvw9DTPz7lzZgZF4cL2vE20\n8AAAD0tJREFUnfNB9AOaL29O6IVQVrdYTZ70eVwTXggBgGwnJ0QsauatycI3F/LOindI75OeCbUn\n2L1CoY8PtGhhbmfPwpIl5s2ySRNInRpq14YGDaBOHdNdn9Rcu2ZmpXz/PaxZY3ocSpSATz6Bpk0h\nVy7Hzx2to+m4qiPfn/ielc1XUjZnWecFF0I8lhQPQsRB81eaczP8Jt2+70ZG34x8/PrHDp/r4RiI\nvn3NZY2lS2H1avMJ3MMDypc3qya+8YYZNPhwieXEJDLS7A+yaZMpGHbvNntPlChhxjU0b256ZZ6V\n1po+G/qw4OACFr21iLr56z77SYUQsZLiQYg46lqqK9fuXmPwlsFkSJGBnmV6PvM5CxaEIUPM7eJF\n80a7ejWMHAmDBkHKlFCxohkTUK6cefNNl84J34yThYWZLcx37DDTK3fuNDuTpkxplvSeMcP0qmTP\n7tyv++n2T5m4ZyLT6k6TtRyEiEdSPAhhh4GVBnL93nX81/mT1jstrYq2ctq5s2aFDh3M7cED82a8\ndau5ffGF6eoHyJvX9EgUL26Kj4IFIU8es3iVq0VEmCmTJ06YBbFCQ83tt9/M42nSmCWihwwxBU/J\nkq7rOZm0ZxJDtw7l86qf0610N9d8ESHEY0nxIIQdlFKMrTmWsPthtF3ZFg/lQcsiLZ3+dZIlM+tE\nlC4N/fub7cCPH4f9+yEkxNzWrv2noPDwgBdfhNy5zaf7h7esWSFtWjOu4uHNx+efGQxKmcWY7t6F\nv/7653b9Oly4YHpDLl6E8+dNgfDnn+byA0CqVKaAqVfP9IgUL24GOnp6Ov3p+I+pe6fSa30v+pXv\nx4DXBrj+Cwoh/kWKByHspJTiqwZfEa2jaR3UGsAlBURMnp5mqudLL0ErW2eH1nDpkhk3cfy4+fPM\nGbNYVXCwecN/lpkcPj6QLZu5Zc0KjRubcQr585tb9uxxn0bpTFP3TqXnup70Lteb0TVGy/baQlhA\nigchHOChPJjpNxONpnVQa5RSvPPqO/GaQSnzpp41q7lE8CitzViEsDDTQ3H7tvn7/fv/LJ398M+U\nKU1PwsNbunTmEkRCe1+OWTgE1AyQwkEIi0jxIISDPJQHs/xmAdDqu1ZorV3eA2EPpcwli7RprU7i\nHFP2TsF/nb8UDkIkAFI8CPEMHi0gwu6HyeA9J9NaM3LHSAZtHiSFgxAJhBQPQjyjhwVEWu+0dF/b\nnWv3rjGo0iB5g3MCrTX9NvZj3O5xDHt9GB+//rE8r0IkAFI8COEEHsqDcbXGkdE3I0O2DOHa3WsE\n1AqQHR2fwYPoB3Re3Zm5B+YyqfYk/Mv6Wx1JCGEjxYMQTqKUYnBl2wJSa3ty7d41ZvnNIrlncquj\nJTp3Iu7Q8tuWrDm+hq/f/DpBjSURQkjxIITTdS/dnQwpMtAmqA2nb51mRdMVssOjHc7fPo9foB9H\nrx5lZfOV1CtQz+pIQohHSJ+qEC7Q/JXmbG69mcNXDlN+dnmOXztudaRE4eDFg5SdVZaLf11kR/sd\nUjgIkUBJ8SCEi1R8oSJ7Ou7B08OTcrPKseXUFqsjJWirj62m4pyKZEmZhb2d9lIsazGrIwkhnkCK\nByFcKE/6POzqsIuS2UtSY2ENxgSPQT9cmUkAEBUdxZDNQ/D7xo+aeWuyre02sqd28g5aQginkuJB\nCBdL55OOdS3X0b9Cfz748QMaL23MrfBbVsdKEK7evUqdRXUYsWMEI6uNZHnT5aRMntLqWEKIWEjx\nIEQ8SOaRjJHVRxLULIjNpzZTemZpDlw8YHUsS+08s5MSX5XgwMUDbHx3Ix+99pFMbRUikZCfVCHi\nUcNCDQnpHELK5CkpM7MMo3aMIio6yupY8SoyKpIhm4dQaW4lnk/7PKFdQqmWp5rVsYQQdpDiQYh4\nljdDXnZ32E3vcr0ZsGkAb8x/gz9u/mF1rHhx7OoxKsypwBfBXzC8ynC2td1GzjQ5rY4lhLCTFA9C\nWMA7mTejaoxia9utnL51mlenv8qkPZOSbC9ERFQEI38aSbGvihF2P4yd7XcyuPJgknnIUjNCJEZS\nPAhhocq5KnOw60HeffVd3l//PmVnlSXkfIjVsZxq55mdlJxRkiFbhtCzdE9CO4dSOkdpq2MJIZ6B\nFA9CWCytT1qm15/Ozg47iYyOpMysMvT4vgeX71y2OtozORt2lrZBbak4pyIpkqVgf+f9jKk5RmZT\nCJEESPEgRAJRLmc59nfaz5gaY1j0yyLyTsrLZ9s/407EHauj2SXsfhiDNw8m/+T8rD2xlml1p7Gr\nwy5Z9EmIJESKhyQgMDDQ6ggJRmJ/Lrw8vehTvg8n3ztJ5xKd+XT7p+SbnI8xwWMIux8W5/NY8Txc\nv3ed4VuHk3tCbgJ2BdC3fF9+e+83upXuhqeHZ7zngcT/enAmeS4MeR6cwyXFg1JqkFJqp1LqrlLq\nhh3tPlFKnbe1+0Eplc8V+ZIa+WH4R1J5LjL6ZiSgVgDHeh6jXv56DNo8iFwTcjF482DO3z4fa/v4\nfB5O3ThF/439yTUhF6OCR9GqSCtO+J/gs6qfkcY7TbzleJyk8npwBnkuDHkenMNVPQ9ewBJgWlwb\nKKU+BPyBLkBZ4A6wQSnl7ZKEQiQCudPlZpbfLH7v9Tvti7Vnwu4JvDD+Bd5c8iZrT6y1bHZGRFQE\nK4+upM6iOuSdlJeZoTPxL+PPH+//wcQ6E2X6pRBJnEvmSWmthwEopdrG5XillALeBz7VWq+23dca\nuAQ0whQiQritnGlyElArgCGvD2HxL4uZETKDeovrkSVlFt4s9CZvvfQWVXJXwcvTy2UZ7j+4z+ZT\nm1n26zKCjgZxI/wGZXKUYbbfbJq90gxfL1+XfW0hRMKSUCZZvwhkAX58eIfWOkwptQcojxQPQgBm\nn4zupbvTrVQ3Qi6E8M3/vmHFkRV8GfIlabzTUOmFSlTJXYUb925wJ+LOM81sCLsfxqFLhwg+Hcym\nU5vYcXoH9x7co0DGAnQv3Z2mLzelSJYiTvzuhBCJRUIpHrLa/rz0yP2XYjz2KB+AI0eOuCpTonHr\n1i1CQ0OtjpEguNNz4YEH72R6hxavteDo1aPsPLOTkJMhDAkeQvjxcFL5pyJn2pzkTZ+XrKmy8pzv\nc2RKmQlfL1+SeyYnuUdyIqIjCH8Qzt3Iu1y7e41Lf13i4p2LnLpxirNhZwHwSeZDiWwl6JKjC+Vy\nliNfhnwopXhw7gGh5xL2c+1Or4fYyHNhyPNgxHjv9HGkvYrr9sBKqS+AD2I5rJDW+niMNm2B8Vrr\n9LGcuwKwA8imtb4U4/6lQJTWusVj2rwDLIpTeCGEEEI8Tkut9WJ7G9nT8zAWmBPLMafsDWBz0fZn\nFv7d+5AFeFKJuAFoCfwBhDv4dYUQQgh35APkxryX2i3OxYPW+ipw1ZEvEgenMAVEdeAQgFIqDVAG\nmPqEPNcAu6slIYQQQgCw09GGrlrn4QWlVDHgBcBTKVVUKVVMKZUyxjFHlVKNALS5djIBGKyUaqCU\nehVYAJwDglyRUQghhBCOcdWAyU+A1ra/a+Bn259vANtt9xcA/l5BRms92lZczADSAT8BtbXWES7K\nKIQQQggHxHnApBBCCCEEyN4WQgghhLCTFA9CCCGEsEuiLB6UUj2UUn8ope4ppXYrpUpbnSm+KaUq\nK6VWK6XOKaWilVINrc5kBaXUAKXUPqVUmFLqklLqO6VUAatzWUEp1U0pdVApdct226mUqm11Lqsp\npT6y/YyMtzpLfFNKDbN97zFvv1qdywpKqRxKqa+VUldtmy8eUkqVtDpXfLO9dz76mohWSk2x5zyJ\nrnhQSjUDAoChQHHgIGYDrcyWBot/vpiBqD1s/3bXwSuVgcmYzdRqYDZl26iUcseNFs4AHwIlgJLA\nZmCVUuplS1NZyPbBojNmCri7/oz8D7NS78Pba9bGiX9KqfRAMHAfqA28BPQB4rzrcxJSkn+/HmrY\n7l9qz0kS3YBJ234Xe7TW79n+rTC/NCdrrUdZGs4iSqlooJHWepXVWaymlMoEXAYqa613WJ3Hakqp\na0A/rfVcq7PEN6VUKiAE6AYMAX7WWvexNlX8UkoNAxpqrYtbncVKthWSy2utX7c6S0KjlJoA1NVa\n29Vjm6h6HpRSyTGfqmJuoKVt/y5vVS6RoKSz/Xnd0hQWU0p5KqWaA96Yac/uaCqwRmu9GVBWh7FQ\nftvlzZO2bvvnrQ5kAT8gRCm1zHZ5M1Qp1dHqUFazvae+S+yrR/9HoioegEyAJ//dQOsyT95AS7gJ\npZQHZrGxHVprd72u+6pS6i/Mku0zgKZa698sjhXvbIVTMWCA7a7E1cXqPLuBNkAtTA/Mi8BPtl4Z\nd5IH8/0fA2oC04FJSqnWT22V9DUC0gLz7G2YUHbVFMIZpgKFccNrujEcBYpgfiG8DXyjlKqitXab\nbQRtn6wnAtVjLDKncMPeB631+hj//J/tsu+fQFMc+LSZiHkAe7XWg23/PqiUegXoilnN2F11ANZq\nrS/GeuQjElvxcBWIwmyYFVMW4EL8xxEJhW2kcF3MWIfzVuexitY6Evjd9s+fbQMGuwGdrEsV70oC\nmYFQMyQKMD2WlZRSPQBvndgGezmJ1vqWUuo4kNfqLPHsPPBob+RRoLEFWRIEpVQuoBrwpiPtE9Vl\nC9uniBDMBlrA313V1YBdVuUS1lHGFKAhUFVr/afVmRIYTxLZz7kT/Ai8AhS13YoB+4GvgWLuWjjA\n34NI8+N+H7aCgUKP3FcAsyuzu2qHGQLwvSONE1vPA8A4YL5Saj+wD3gfSAG41Why2z4g+WPclce2\nGdk1rfUZi2JZYSrQAlM83FFKPRz7clNr7VZbtSulRgJrMbOPUgPvYKayfmZlrvimtf6LRz5lKqXu\nAtfdbSyMUmossAo4DWQHhgMRQKCVuSwwHtiplBoALMPs2NwJ9+qR+5vtQ3c7YL7WOtqRcyS64kFr\nvdS2psMnmEGSP2M20LpibbJ4Vxozjx/MYLBxtr/PA9pbEcgiXTHf/9ZH7m+L+13LzIz5nrMBtzBr\noNSyzTZwdxr3HDSZA1MoZASuYGbelNNaX7M0VTzTWu9XSr0JjAQ+xlza66W1drci6qHqQE6eYdxL\nolvnQQghhBDWcrdroUIIIYR4RlI8CCGEEMIuUjwIIYQQwi5SPAghhBDCLlI8CCGEEMIuUjwIIYQQ\nwi5SPAghhBDCLlI8CCGEEMIuUjwIIYQQwi5SPAghhBDCLlI8CCGEEMIu/wd4C1tpOGLAxQAAAABJ\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xc6b2fd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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HB7N27Vr8/f3DTWgXGy8vL0qXLk2OHDlMy+rXr8+TJ0/CtZZE9OjRI1xcXMLt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\nhLCJJA9CCCGEsMn/AT5HGJIXTZtWAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x18d39be0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cAChXrhxPnjzh8OHD3L17l/3791O1alXu3bvHqFGjmDVrlsU6hchIbD3baKry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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21209588>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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fn8mTJ7N3b8R5f8SBEwJG5fHjx3To0AFjDNOmTbOtz507N4sWLaJv375MnjwZ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\nMeZgqscxT8eX2V1KKvr3t0fStm2bvh+q+wvez6Dqg3jzhzd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XzVQtUpUnP3+SqPeiWLnb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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x214eab38>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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iRAlcXV3p2LEjEydOpHbt2qRJk4aqVatStGhRZs+ebdbYhEgOkn2TB0C1apAh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"text/plain": [
"<matplotlib.figure.Figure at 0x21e65198>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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jgJubGw8ePMAvhrrQmTNnUqJECapXrx62bPv27VHOu379+mHnnSdPHvLnz8+f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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a66c9b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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58hFWhBUiKbPG1NvJvoYCoGFDOHoU7tyxdSQiNdm7dy+dOnWib9++nDlzhl9+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\ncOj8IT5e9rFnglT/uH7drn+pXh2KFLHltKtVi+dYN67TbFY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s/iUNizSk8YzGzN87/5bn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\ngT/MqOc7AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x19e62f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy import optimize\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"#from ipywidgets import interact\n",
"#from IPython.html.widgets import interact\n",
"#from jupyter_client import interact\n",
"#from ipywidgets import interact\n",
"%matplotlib inline\n",
"\n",
"def f(x, c0, c1, c2, c3):\n",
" return c0*x**3 + c1*x**2 + c2*x**1 + c3**x**0\n",
"\n",
"def g(N=1, frac=50):\n",
" xdata = np.arange(0,+np.pi/2*N,np.pi/2/frac)\n",
" ydata = np.cos(xdata)\n",
"\n",
" popt, pcov = optimize.curve_fit(f, xdata, ydata)\n",
" perr = np.sqrt(np.diag(pcov))\n",
" \n",
" text_y = np.max(ydata)\n",
" text_x = np.mean(xdata) * 0\n",
" \n",
" fig1 = plt.figure()\n",
" plt.plot(xdata, f(xdata, *popt), xdata, ydata)\n",
" plt.suptitle('N = ' + str(N) + '\\n' + \n",
" 'points = ' + str(frac) + '\\n' +\n",
" 'params = ' + \n",
" '$'+ '+'.join([ '%1.3e' % x + '*x^' + str(item) for item, x in enumerate(popt)]) + '$' +\n",
" '\\n||err||=' + '%1.8f' % (perr.T.dot(perr)*100.0) + \n",
" '%'\n",
" )\n",
" return popt, pcov\n",
" \n",
" \n",
"#interact(g, N=[0,100], frac=[0,100], kernel='linear')\n",
"for item_i in range(2,8,2):\n",
" for item_j in [1 + 10**x for x in range(0,5,1)]:\n",
" g(item_i, item_j)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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