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@dmasad
Created March 5, 2017 18:53
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Face generation
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Face Completion\n",
"\n",
"Riffing off of:\n",
"http://scikit-learn.org/stable/auto_examples/plot_multioutput_face_completion.html"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"from sklearn.ensemble import RandomForestRegressor, ExtraTreesRegressor\n",
"from sklearn.datasets import fetch_olivetti_faces"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"data = fetch_olivetti_faces()\n",
"targets = data.target"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x113dd1048>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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L9bOKoaoOvztaP787qgaVVAK9F34WpTwUuk/r4HaoOjnYHiWN10iKgpmtB3ArgG8AmKz+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\nB3+S9JT/B+CG1Wy0MnkoAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e4dca90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"img = data.images[-1]\n",
"plt.imshow(img, cmap=plt.cm.gray)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"400"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(data.images)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = data.images.reshape((len(data.images), -1))\n",
"train = data[targets<30]\n",
"test = data[targets>=30]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"face_ids = np.random.randint(test.shape[0], size=(5, ))\n",
"test = test[face_ids, :]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([61, 44, 33, 60, 40])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"face_ids"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"n_pixels = data.shape[1]\n",
"cutoff = int(np.ceil(0.5*n_pixels))\n",
"\n",
"X_train = train[:, :cutoff]\n",
"y_train = train[:, cutoff:]\n",
"\n",
"X_test = test[:, :cutoff]\n",
"y_test = test[:, cutoff:]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rf = RandomForestRegressor(n_estimators=10, max_features=32)\n",
"et = ExtraTreesRegressor(n_estimators=10, max_features=32)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"RandomForestRegressor(bootstrap=True, criterion='mse', max_depth=None,\n",
" max_features=32, max_leaf_nodes=None, min_impurity_split=1e-07,\n",
" min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, n_estimators=10, n_jobs=1,\n",
" oob_score=False, random_state=None, verbose=0, warm_start=False)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rf.fit(X_train, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"predicted_bottoms = rf.predict(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(5, 2048)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"predicted_bottoms.shape"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"image_shape = (64, 64)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Kh8MaouJw29rams4Bw1MwcDeHlLzCPbyx3SFqfAe6l+InsreeLLS9IEf43ng+rmUlRcQ5\n1LEvGAKpWq0aYwvvns/njeKM8WO9OQ+MwfkZ/opzLidNUJCSyaQqUVNTU0ZBR5iFhSTDm0CWNBoN\n3Q/ValVTOrhCPRKJKAgv710vhZGf12g0jPIFeVSv1/WZeJdgMKj7jA8GzlnkZwGtoFqtKhQPw321\n222TJwflsVwuazgK46zVavqMxcVFvZblW6/XUxilnxXuO0ji9A9+bxgX/F4st/mQZNg0NjTZqOaz\ngfezG4LJrVhwOgHvO66Wd0MIsWLAcHVu2cD5tvxM93ecx++GhHHfOxqN6tqzsdBut3Vf1Go1c55C\nqZg08Xxw8wh2DHD6lxcEG58DXmevyN4cu9faLdOZb1j5dp817FzAPTjdhXOhmW84nYnPe5H9wOnM\npxhHt9v1PJNwfrChyKlCXFPAoPXD4XCf4+7/osm7p3zyySeffPLJJ598+oWkAzVFoeV2Oh316HGB\nDXsj3aDP0L5RoSmyp12zVc1VeuFwWK1+bpmGa1utlkmy5iR8r8TYRqOhHkl4STqdjno4dnd3jfbP\n3j9YL/COJBIJk3DLFiV+x/PBWILsYWQLzAtPzF1VygUIkyIvr2gwGFSP5NTUlFpV3LqSPXaYi0Kh\noF6cbDar1vbs7Kx63RKJhPIBhyO8PJKMScqh7VAoZEIQXnhf+K7X6xkr2OvZ2AvValVTPmq1mmmh\nx8VY8EDs7OzoPMGiBtA0COPc2dkxFq7XmCdNXD3s5RFJpVIGmB1rxcUSmD9OgeG9HQqF1NqenZ1V\nz2epVNqHH8jr7E6K5xQRJuxpeM+CwaA+j4uc2PPF6RHshYZ3cjSyjRog97johL21ePbU1JQ+b2dn\nx7RyxHtxgdq9POoHTZyGwF4crD17ZbkAIRKJGE+liLOPOGLB+MGcTgRyp7OIWD5wI0OA3K1S3QWh\nXnh+Inb/8T7nlsAYH3ubOPLGXk1GOWDPKb+3VyEbh2ndczJJwlrEYjFdc7dXkD1wmL9qteoZ0maP\nNPOZV+MPnmOO7PCzGNcY5F5r9xnHRZd8xnul7TExXzHfdDodjYBw2ouI7CukTCQSxvuK+3S7XRMe\nZwzs+/VIHqgiyQICAvNe+Qm8UVqtlvYGhkBNJBJGAYCCx8QAwJ1OR5kLwKvucBUYJpFImA2Je3B/\nUxD3OV5bW9PD0K3E4jMWjp/hrr7Gte6Dxw0zMjMzoyFPdutzCK3b7Zq5PAygs175FywccrmcvmOx\nWDRCFXOFOd/Z2TG5PVCyFhYW5PTp0yLigF2z8eCG6WChxFXPDIngBod3h57YIKpWq1p52Gw2Ddgy\n7gflg3NTgsGgrs/p06fNwcmKCUPBiDgKND5vbm56KrH8volE4tDkQ2Gdy+Wy6TjDaQ6Yh1qtpoYC\n5xMif7TT6agc6Ha7prIa87CysmJQGxikW0Q05IuxMUQM7s352Zymw6F2CPN2u20q/znUiWfj95VK\nxaTMMNAy+K9UKsnJkyd1Dtzz6IYewpxyhXo0GvXMA5skMbQZG2ycxoE9k0wmjUKHdcbcdTodlTHl\nctmkQGFOk8mkp8GI79LptOlZjnmKxWK6R/n8YaWCFRdOceBUJ7xvpVLRdWQoFkZpYKWDc0lxfbvd\nVpkAw8KthIFYzvK5EI1GjZyaJOEdc7mc7kt2lHBqw2g0UkO6Uqnsy0fmd08kEno+s+OCczFZYWXF\nn1PIvJBB+FlsALGjivUfVuy80u/4LOeKa071AL9zzjYbv/g3FovpPWq1mt7DDZDO8sYPbfvkk08+\n+eSTTz75dCB0oB5JeM84sXN7e1uOHz8uIjaBNBgMyp07d0TEeng4DAQtvFKpqCbP92bw3mQyqRo6\nenbGYrF9loOIYxHBeufK1/F4LHfv3hWRPfy7Wq1mCnMQ5maPJFsPCMPNz88brxaHrTk0AouHK93Z\nOuJQO4fbYcnVajW1zpLJ5KHwQNyrIoxDVLD65+fnTVtEzAG8UFtbW2Z9GEge15ZKJXnooYdExCZn\nsxXH2G/8PeMBulMvRMSsPay4H/3oR3Lr1i0RcfgU13BFLd4pmUyqlVwsFtUjNjMz4xnWYW8XJ0fj\nGcViUflqY2NDx8T9WNPp9H0Dzv68COvMVerca5vDcqFQSL0P6+vr+0LD/X5fvTvsZer1ema9eP/A\nu8hhIsgplg+BQMDIDcboY++BiJVBlUpF/95qtTx7SkNO1Ot14+3AfpiZmTGFE5in4XCo785pO5Al\n7XbbeNh+FjD+pInTLrhXOOSwu00h1n51dVXniXGA+Vqu9McaNZtNz4IdeEDn5uZkYWFBx8ZpJliv\nmZkZgyLBBW/4F3uVzzYuzNnY2NDoCnjQvW5ccIL7MYA/h/rBu4VCYV9RoYiNaHCvdo68TZoYd5Xl\nANag0WgYbzzPsVsuc6SRUwZExDRu4MYIkMfs2edmGe7KcNybsUHdqDTuQkEeH8sPTm0ScXiB5Qp4\njL3QjFbC7wLiIk8O73PRDxf1xGKxfeHy/4sOVJHEoJvNplGyvOjWrVuyvr4uIvYwwSKnUilTlcST\nCuVqY2NDOyMkk0kNp6+uroqI4+rmfEOG7GChhHvH43G9BzMFV1RCYcxkMrp49XpdvwdT3Lx504RT\nGLwcgjEajapCyAIfz6tUKrqJWHkMBALGXc4ApPfLIAdJmOeZmRkTogFxGgQUec63bTabyhOsvG9t\nben8LS0t6T05jMDdc7z6rNdqtXtC/Yg4fPDWW2+JiAPsCz7Z2NjQ+T9x4oTMz8+LiJgwKQQah9Ld\nBgArlcyzmAPwDOcWx2IxPaRYgUkkEp7V7ZMgGGYPP/ywrlexWFT5UCqVdO+zrGg2m/tyh/hg7Pf7\nZs9BKYhEIro2nEuE/ddsNpUPM5mMyptcLqdrFgqF9DPn14E4PSIQCOgasJLEv8FhydA3wWBQZdeR\nI0f0XXK5nMmJdTc64P3N6T/T09PGIGN+PwxdjrjrEmQXK7zcqWU8Huuc9vt9lRWc+4UUiPF4r7NQ\nNBo1SjsbWW5eWltbk5WVFRFx5BEMnmAwaHoVw7hotVr7+HQ4HBpFiHNp8Xl5eXlfaL5er5vKe1ZM\nucqac+7cXZ7A4yLWUHan5fBZc7+QLz8v4upnTt0CjzCiBTfzyGQyJp9axJlrOHf4cygUks3NTRHZ\nj5SCnt7Y+/l83qQ/8fVesDr8DhyC91IY+dpms6m6Cdax2WwaxZDXkWsKWOa7w+NcY+JGCeBxc13F\n/aK7TN495ZNPPvnkk08++eTTLyQdqEcSlhpje2WzWeOCh8W4urqqFuFgMDCtfHAtaDze67HJnpZ8\nPq8WI4MwoxXUysqKWgyZTMb0AmfXM75nXEd4MzjcKrJnVX7oQx9Si+D69esmzIZ3Yq8ALNR4PG6s\nWFguHH7hAhxYY/V6Xa0tBvR246wdBo8kW77sgcH6MGh4o9EwSfFYL8wXW4rs8eGq2G63q3MaCoWU\nl9jLh8/BYNBUNXoByXKoFFSr1ZR3u92umXM87+zZswYsHPfEutVqNf0ci8WMpc39hLn61j2n3HIt\nHA7L3NyciDiePcx1KpUyBSOTJA47ojCk3+8rKDGvwXg8lqWlJRFx9jbeB95B9qzFYjH10DOA8dzc\nnKYP7O7umnA6nsEVnPB8nzlzxqAHcCgZa8qFAZADiURCv+fqSS4IYcK6jMdjOXLkiL6rl9d1OBwa\nvFgRR55iH21sbCg/bW1tqZdqfn5e5yAajR6Kal1u5cgA816oFO12Wz02sVhMPbTsbUK61LFjxwyK\nB1Ji7t69a4qc3KlTnU5HeSMYDKp36uLFi3oubW1tqSd4a2vLpG6J2OJA5gnGQGVsYsYoxhrPzc0p\nD7q9hlywh+s5WoV5icfjcu7cOb0HY6Zi7Q9Ly1Q3eckpLkpMp9MGX5jxQ0WcNedCKKxpp9MxxTQc\nHl9bWxMRUXm0uLioHm72Dkaj0X1g+LgH86qI9QRyuJ2LLUulkqbzgQ/H47GeH4lEwsgH9q5zuJ31\nFffYOIISi8V07tzA6jyn74R8j6RPPvnkk08++eSTTw9EB+qRhEXMqPvhcNh4U1599VUREXn55Zfl\n7NmzIuJAobBVJmKtcfYOcfusbrerxS1Xr15VrRsegkgkohZKKpVSC+7NN9+U9773vXotY83BamT8\nO07Ux7tcvXrVQBEwphfeG96ifD6vz5iamjLtn9jb6U6irVarBnoIlsa5c+eMFw/v69WOa9LEBSwM\n88O5fbiG15PhE7hjEizLVCplLE7knnDuGaxatsw4R4s9fvyZcyS9OqJEo1EDRwVrlqGd8O/u7q6B\nj8FaMXxHNps1Xi3cjz1JDGnDBGu22+0aWAh8P2nC3mEMzStXrqgHNhwOK05osVhUj2Sr1TIQSyKO\nl4G9uOCVQqGg9/7xj39scqsZEkfEWc/r16+LiMjJkycNdiTj2LFnCNewN4QjJJBd3N2iUCh4tnND\nBGV1dVXX6MyZM+pJG41GyqvsBcc9FhYWlL+ffvpplW8rKyu6p65fv65zk0ql5JFHHrnX8hwYYV64\nfWO1WjUylL1tWE+v4omjR4/q/uv1esaLA746d+6cySMEH2Kef/3Xf13hw+7evavwc6FQSOe33+8r\nD/b7fQPNIuKcHQxBhWtPnz6tPHPt2jXdl5z/f/HiRREROXXqlOEvhkZi/seZx4U0XLjKRUFcCMKQ\nOoehw5HI3n5ir9hwONR5zWQyOtZoNGq6U2ENMO/tdls/cw49t4zl9rfsIeR8VPwumUwaeDiOPLFM\ncHeXcbdbZQg37Mvd3V0dP/g+nU6b2hKsOfN9PB5XHkokEvtgyhKJhM4X45YyrFEkEjEFy+Dxd0oH\nyjmcVMohSLz4Cy+8IC+99JKIiJw/f14effRREXHCE+5K23q9bsK37h6VIlbBnJqa0o3F2HFYkEwm\no6Gk8XisguOjH/2o3iMajaoABoNks1ktsrhz544eBNvb2yYshrAG3iObzaoik8lk9EBjV/xgMNDN\nxGDi+F0kEtH7vvbaa6oIv/HGGyqIGDMwlUodihCG14bj3rC1Wk3DR1xlXSqVNOyAA2FmZkbfjysj\na7WaSYeAMFlbW9NDA2s1NzdnDBReCxADuzebzX1YXSJ7BQ8zMzMqjIrFojEAIPC5cISriLlIg5VO\nKMJ8kCE8ycKGe65j/vAMvE+n09GwzaQJQjSdTsvHPvYxEXH4A0U4gUBAD/dQKKTGV7vd3rfn4/G4\nvu/Ozo6uV6VSUbkxNTWlPFQqlUyhk4iztx577DEREXnrrbfkhz/8oYg4PIJ7czGNu6+ziC2uq1Qq\nploeMiGZTKoMRNJ/MpnUta3X6/Jnf/ZnOgfg629+85uqTHO49/bt2yLiKKCQE9Fo1BwIXJB47do1\nEXGUyps3b4qIyO///u/LpIjxfrG32bgIBoMmzQR7ezAY6L5DkQQb5lygF4vFPMOEkUjEyGIRkQ9/\n+MM6d08++aR86UtfEhFnvrBerOjw+QIe5QLPN954Qw2i9fV1fQ4XckCR5AKiS5cu6X1brZY+ezQa\nKS/l8/l91crZbFaLVXd3d81nDtkzoP1hSHEQ2Zu/qakpkwrEZz9oPB7rmdZoNExzEBFnzhgJgVNB\nGMcZeyYej+9Lk3MX7mG9stmscfq4e2jzPUajkUGXAF+zcjsajfYVUnK75k6nY4p0sHbpdFqfvbGx\nYSq4RRz+YMcBF/y5C0/x+X7RHPzQtk8++eSTTz755JNPD0QH6pFk9zC8Apxkf/XqVQNzceLECRGx\nhRjwJq2vr6sHbnd317RG42RneC2i0ahq6hgHF3LkcjnV2o8fP65W/9GjR9XKYRc3txpEqDGVSqn1\nw2FYDhvAEm02m56FLzzO4XBoIAhgQXEYFeMUEblx44aIiPzkJz9Rq/748eOm1eT9JtH+PIitHa9w\nCuMB1ut1vWZtbU2tafy9Wq16ts3jrhK1Ws00q4eHC7zGliBbmRyu4C5D4/HYhKzwbBCHP7itX61W\n03Hjd5zov7q6ql6QYDBoLErcP5FIqFWN383NzSmfcDI9eyE51JVIJA4N1Af2w+zsrHqIv/e975mQ\nN+NIolBuampK1wPvOzs7q56ITqdjCh1472Bed3d3dT/DCzIejzWlZn5+Xr74xS+KiFMohWuYl0T2\n40Gur6+NunKDAAAgAElEQVSr9ykUCqm3azQaqYeKC3aYx5Dac/XqVfmLv/gLERF57LHH5Otf/7qI\nON5u8B6H5K5cuSIijgzgzkacYgGv9tLSkr5DPB6XH/3oR+5lOXBiSB32/GOvLiwsmLQcyN+dnR0T\nkhNxeAZrwjBR/PvBYGAKn/BMrBXmSsSRF/CQs4coGAyalCR8xt7nSEI+nzeFk9j/DFnDodbXX39d\nRBy+BGQYQ4JxKz/GJwU/T01N6Rxdu3ZN5cPy8rJ68LiIjzu/TZpY7oE4PM84kixTV1ZWdB74bOWo\nEWMy4n3j8bjpbMWFmfg91s6dFoQ1T6VSZt8x7I+I7TDX7Xb3hbB5bCJ76TqlUsmcMYyRjXfM5XIm\n6sXzJOLwIT6n02lTwMQFvzxP9+uRPFBFEgcF41etrKyY1mIAcl5aWtLF3d3d1fALQt/Xrl3TyXv9\n9ddVmWu1WiYHiqvZ2BUsYgFe+/2+Ctd0Oi0f+MAHRETkC1/4goYF8vm8yZURcRYaylw8Htcwdzwe\nN7kKYBKEoKCcYj4QssjlcqoshcNhVbJnZ2c1lInnzc/P6ziy2aw+bzwe64E0Pz+vCu3u7u6hCGl6\ngWEzmCyHpriSmbEhsVYnTpzQA35jY0MPag5zFAoF/T6dTqugwL1WV1cNzqA7DxbELRW5l6+II0g4\n3wifWch3Op19WKa1Wk039mg0MvyFte31eqrcLi4u6hqCT2q1mrbNy2azphIen5PJpMkNPiz5UFCc\n3//+95uQC9ao1WqZCkfIit3dXdPyUcQajuPxWNMjlpeXzSGP6+fn51UZZwBg3OPYsWOmHR727vr6\nunzwgx8UEWeOf/zjH4uINRIhMx577DFjPHj1esZabG5uGkPon//5n0VE5Mtf/rIqL/l8XiuSI5GI\nnD9/XkT2DqQjR44Y4GtWdDhv8MKFCyLiVBsfhtZ4nFoCRTmfz2sI/ty5c3oN46AyRh721vr6uvJS\nu91WJbBSqRhcQsbhwzxxZT5SnRqNhsG2xPjm5+d1THfu3FHHB/Ziv99X/o7H4/LZz35Wx4HncfUw\nDJFGo6FOkpdffnnf2EScfQM5MD09re8FWTMajfTZvV5P5yaTyaisw3UitiXkpAlyih0zjGJRr9d1\nv5bLZd2XfPaD3KgqrMwxBiRfw4gGIhbDUkSMUQ+dIpvNGkWc11LEWWcOV3MOJXir2+0aWSdiMR15\nnJ1Oxyir3DccMg2yK5lM6lnI7UXd6R2MVnG/jgY/tO2TTz755JNPPvnk0wPRgboljh07JiKOlfCH\nf/iHIiLyH//xH/L5z39eRCxOYDweV6vsP//zP+X5558XESfkI+JUvv3e7/2eiIi8/fbbJiGfPZLQ\nypeXl9U6gGWQz+fVm5XJZNS6OHHihLz44osiIvL9739fvTpTU1PqOeSKYLaOMX72DG1ubhpkeRHH\nMoDFGw6HTaUfwhrFYtG4qVFNinEuLS1pUc3s7KxaQa1WS44ePSoiIq+++qpatI1GQ62tw0JeLeHc\nScuwpur1us4pvLLwDInsL455//vfLyIi//u//6v33N3d1fnD9dvb2ya05tXtiCt12WPGXki24jBm\n9kJ1u11NP8CaPProo/ouP/3pT+WVV14RESelAuGoN99803Q6gLeLq1Th4RwMBup5Ys8vd9Dh0Nqk\niTH0sLez2azBwMO7r6ysyK/8yq+IiDOv8Kxgv6+vr+s8fPSjH1XPxh/90R/pXHLxmcgeVhwqdGdn\nZ00YHN6l8XisY0qn0/LGG2+IiMND2K/YW1x9nc1mVe6EQiH1IKZSKfWkoEgEskjEiVyAT9n7yrh5\njH8H/l1YWFCP2e7urvJvMBiUhx9+WEQcPsPc3blzR+XQJAnrwB78UCik3pU7d+7IM888IyLO3kLq\nQDwe1/eFbN7c3FRZeOTIETP/p06dEhFHluPe73nPe1Tew2O1vb2tMntmZka9e+12WyMZa2truhaV\nSmVfQSWnkNy6dUs/FwoFU0DDHW8wTniMb926pR7Vp556StMQyuWyQQPA+HicWPtisajjfO973yvv\nfve7RUTkueee01SRYrF4KNrnioiRrZyO4NVi2Y3JCE80IpRzc3Mqizky0e12VSbgeSLOnoK8AXFB\nFGNEJhIJ1S+y2azZa1wUI+KsLXss+Yzja/E9/p2bm1NZvbOzo3zDZ10ymTQIJNCFkD44NTVlMGnx\n3oVCQaMzfE4xXvY7pYlUbdfrdRWSL774oub/PPHEEzrZ8/Pz8sILL4iIo0iCGaAgLSwsaBh8bm5O\nhbGImJwYzmV095edn5/X+y0uLpoem1/5yldExAk1495LS0sqiCDIut2ugogy+O2JEyf0fbe2tlSw\nsbscwrxer8ulS5dExEISZbNZVWoY7ggCcGdnR0MWp06dUkHEbRtfffVV+cu//EsRcfKo/uZv/sZr\naQ6UmElZUWPFhyvPOGyDAxrhvdnZWZ0Phggpl8uqVMzPz+thUygUTJU3fof1cbdl8+pFy4okhzmY\noHSMx2Plx+3tbRX073rXu0TE4RM8Y2trS/m1XC6rkfD9739flc1isajvhQOGlaper2cUXoQuYrGY\njvmwhLBERPcw55NVq1XdA7/7u78rX/jCF0TEUQoAVdNsNnW/citVzF+r1dL5WVhYMMoap9hAycD6\ncc5xuVw2+ZS818AjJ06c0M8AUWe4DUal4PBWLBZT2YPUE67wD4fDKvzffvttPWzG47H+LplM6p6H\nPGIQ9VKppH9fWlrSuR6NRibkdhj6bWMOWQacOXNG5X4+n5dPfvKTIuI4H6D4Xb58WdOekBbS6/V0\nzllJ3tzcVJ4ol8uaV5rL5fQ6rAX3dk6lUrpnyuWyyvV8Pq/zm06nVXmBsVgul/VsqFQq8qEPfUh/\nB6Xz7t27pnGCiCPTYNiUy2Xl7zt37uh7pVIpPTNeffVVfS8o05cuXVLehWIh4vABzl6GLOIc/EkT\n9qfInnxloz6fz+tczc/PqxyPxWL6PshzZr7vdrt6VrDjiGHFrl+/rsor7hWJRExfbswrpwuxgTca\njfadD9VqVccfi8X0Hcvlsml1C7mHZxSLRRMSh7HKtQFTU1NqhHKuI6fw4NwpFov6bG7Ewa1EH8TJ\ncDhMEJ988sknn3zyySeffuHoQD2SsPZqtZoWg2SzWfUs1Go11ZxPnTqlbvcrV64YAHMQLMaHH37Y\nYLzB2uMKu3w+b6qwRByLAhYet8bb3NyU7373uyIi8slPflI+8YlPiIhjPcC6QyXd7u6u/OAHP9Ax\nw4vkblUEjxcsb/YwBoNBTdTmqjDGrBLZ86TCcuDE2nq9rlZQPB7XcTJeVqVSMRhch4HYo8eWFKyp\nYrFovIJc2CTieJ5gjb311lvqrel0OmpRFotFeeihh0TESdqHBxyWbCaTMQUK/DzG2eLqOTdWVzwe\n1+8Y244Tq2OxmGKjYsyFQsG0hsQ4X3jhBfnmN78pIk5bNliRFy9eVC8HwuBsyS4uLppkdYQ82LMb\nDofvO3Tx8yJ4CkOhkMqHer1uikfglVpcXFT5kEgk9J05jIlUh1qtpu/4gQ98wLQx5Cpw7C/sHa6G\nTSQSGh7iZzOKRCQSUW8h1vy3f/u35a/+6q9ExAk14l0ajYbKDYTGRcSERBkPDvflyk4OvReLRf18\n5swZfW/ICa7Y5mLCRCKhsvXZZ59VL9YkCftPZE/OHTt2zCAQcLU6PvP8Q25mMhnDJ/DuLSwsmHaJ\nuKZUKplCNBFnLbhYEmsUj8d1725ubspPfvITEXHWHGkLuEe73VaZcePGDVPhy3KPmw2AmOe5MAcy\n7eLFiwZLl6vMRRz+wX7f3t427XNx7nD7X/caTJIg62KxmGd0hQtPT506pXLjxRdf3FeMGY/H9UwI\nBoO6dryn5ufnVQ41Gg2VKxxWx7Pn5+c1+pPP542nkteP0+tEbDEL41dzuLterysvYG0ZUL9YLCqv\nZzIZvUcymTStGqFPYZxHjhwx2Ka85nhHng+Oor1TOlBFEi8Yj8flueeeExGRP/3TP1XQ3y996Uvy\n1FNPiYhVrrhvNSPWQ6Hq9Xqm6pLL8PG9u5sOxsOhb2ykl156SRf4d37nd5RBarWagdIRcVznyKN6\n/fXXNQ80EAiYyl4IRy+4mH6/r+/H4KgszKLRqKnMwt+xcQKBgAqya9euyb//+7+LiMj73vc+FXYv\nvfTSoeixjPUZj8cm1A9KJpP6jnNzc55GBHhpMBjo53PnzmmY6/Lly7rJB4OBbqpkMqmfUdU7MzOj\nhxCPIxwO6zM5/MfdFLCZucd1oVDQ78vlsv52aWnJ8CbuhTU+fvy4HhRPPfWUUUARyociIrK3FxqN\nhgrCI0eO6HxkMhmj6DK472EIZ4qI5jw2Gg0j1CAHfvVXf1U+/elPi4iz5tijsVjMwImJ2O49g8FA\n353zlVOplKmodIex+v2++Tt45IMf/KB87WtfExEbHm82m3pvHECPPfaYSSlgAwlKzRe/+EXPTlVe\njRXG47E5kMB729vb+/hwbm7OVGpDdo3HY82RfOWVV0z6xuXLl/c986CJG1Rg3+ZyOV3bN954Q/7+\n7/9eRJw9gD0zGo00jOkF7M+GKIco+ZrRaLQvNYXTJBgQng2e5eVlNdQeeughc5aIOHP7xBNPiIjI\nv/3bv+nvMpmMzj+HLrmimLtr4f1E9nhsenpa7zczMyNPP/20iOwpoI1GQ40ghox68cUX1QBl4PPx\neHxo8qahJDKEDyuS6XTaALpjDRqNhuYdc04jZCN3uGq1WioDWTZevHhR54GhlpC2sLS0ZDqj4TmR\nSETvMRgMTO94EVshHQgETIciborC/bhxLcazsLBg1ohlDHfhgQ7CRjID7nPOPsMa4d6j0ei+82X9\n0LZPPvnkk08++eSTTw9EB+qRhGXQbrcNJh+08HQ6rRZco9FQC3N6eloTZtkrxd5JBqBl0HB4nzKZ\njMH8w3i4igvhgZdfflnbtS0tLalXgrEOOXEWXpW/+7u/01DzhQsXDDA6ii+4JzIsEe7v2e129b1S\nqZSxTGE9Yh7ZwhbZs+SGw6GG5k+fPq1J6KVSyYC8TooYQw+WT7vdVu+D20qDVbezs6NhGe51jjB+\nLpfT0HcgENCiAwaLHY1G6hXCGs7Pz5tKbnzPraLG47Fpd+X2IkQiEV3DRCKh67K0tGR6/XIqgoiD\nJwlr99SpU8ofGxsbpmAD49vY2FB+hKcimUxqlefCwoKOjUNo/F79fv/QVGhifuv1ulrSzWZTv19f\nX9e5hMddxOEX8AU8BLdv31aPRDweN/udC+3gxe/3++rhwbMjkYgBi3/Pe94jIo4MwnOeeuopHd/M\nzIx6M8GH//Iv/2IqI+E9abfbWnWbSqVM+z985xV2Z1y3Xq+nMoGruSETMpmM8j3j9bKns1wuy7PP\nPisiIv/1X/+lkZ9JEvcWZpBknkd4qBYXF03rWITtuJEDvIMcHeCUhHq9bjzCuMZdDStiG0rcvn3b\nVFlD9nOFNkefUMTz5JNPmuexrIN84CJAL1xTrrgNh8PqReUe07gXA/KfPXtWi7Gq1aopSgKvuKuK\nJ0nsCfQqzByPx/qeHB1iWQsaDAYmpQ18UygUTGMP7MF8Pm+KafAMyN+pqSlT5c1hYo7ygBe4F7dX\n610ebzqd1r3N3mnQeDw2MoHv43U2cdTB/Z17nO6UrkNdtY1JK5VKKrwSiYS6448dO6aHPOfBNBoN\nXQRcy0zgBtnmCkAsOruWWQnAJu33+1od1+/35eMf/7iIOEIXm5TzHvHdaDRSQXbhwgUFJH/sscdM\n3hWDqWIOWKmE4ONcPN4knU5HGQcgvRwqnZ6eViacnp5W5aTf76uCORgMDgX8DzMzGJlTD2ZnZ5Wp\nC4WCyf/DO2LNB4OByV/Cvaenp/Xg4XySVCq1L6SYzWbNJufxcRjei7hzDJR07p5y8uRJFUKVSmUf\n+DDzF4cg5ubmTPcezAd3yACCwIkTJ3Q+UqmUCceDX3n8hyWsLSKadvGxj31M1+ijH/2o5od+/vOf\nl0996lN6PfZ/q9XSPcPClo1LNgiwpxqNhllfpAogj4o7A7VaLZ3X559/XuFnMpmMrh83FkC4+403\n3jBV9HheNptVZfPEiRO67gztBD6MRqMGZoSVTk6Pwbpy9y3u0sJ51fjdsWPHPPvdT5IYMJ5DbFjD\nI0eO6D7PZrOmWxDLOhFnPjGP7XZbFT/Of02lUgZM2t1lKBqN6p5rt9vqCOh0Oppmcvv2bTVAGCkD\nxPnpjzzyiFGQMb5UKqXzj/3OubK1Ws2cGZyTB2o2myoj2biCrB+NRiY0j30WCAR0Hsfj8aEAphcR\nEwJmaD2s3WAwUB7htLFAIKDzwzKBUxuwzmxYczpFKpVSuQK+4pxGbvKA/4s4885pS26EmHA4bAwT\nvh87s9z6jRuEnMPuDJ3HjhLwFp7H0ES4D+7NaXIsE+513t2LDodbwieffPLJJ5988smnXzg6UI8k\nNOGdnR1N/M7n82qJ/dIv/ZJae51ORy3GRqPhGZJlbZo9Q9CsuZiGQ49cxMBWBLwFv/Ebv6EeBXcv\nZ9ybe3bi2U8++aR873vf03eE15XbMcFiTKfTagFWKhXj2cC1sVjMVJVzP2hch2e3Wi1T6QerZGFh\nQcOp7F6fJHmFKxj7jSuZh8OhWla5XE69C+zBYCwvxh3jKk7mHySpwxvFViGH3RkQdzQaGSsYawTe\nCIVCBgicMc/gecpms8bTgN8xdiDum0wmNYw1Ozur7zU3Nyfnzp0zY52ZmTH9YXE/BknnMBEne0+a\ngL1Yq9W0kvlTn/qUfOYznxER530RPuT+6a1Wa9+eEtlLW+F3DIVCOn+tVssATYMH4AVhj1+z2dT1\n5zArY57W63Wzd0X2qrAxNk45YdnjDnXVajUDtI3340pzJncveLwfnsEeTi68mp6eVtxBxkicJHEz\nAka7wFpNTU3pvN64cUPTDPi33G8e8xUMBk0bWQ5bctqKF44lt+6FDD1y5IjyzI0bN5Tf2u22qfjG\nu+DMOX78uCKVTE9P6xolk0kTjhZxZCH29sLCgnrG2u22wQrG+IbDoYao8a5TU1NGtuJsY/zElZUV\n4506LDIBa8tnK8tl9sCFQiFdg7m5OeUReJD5vfge3HKR75HNZnW+ObSNe7B3l8+HQCBgIj3gAS8v\n9Hg8Vl7J5XJGZmE/45yrVqv6vHq9rroSe2VZ/+G2yjgXuTCRPZyDwcBU6v//pDv5HkmffPLJJ598\n8sknnx6IDtQjybAa0Mh7vZ7mHn3jG9/QfKhGo6HaPLc1g5Y9Go2MV4gTcWGhxmIxvYa7ZTAkCqyI\nWq2mcAmf/vSnTUN0bh3kTqLlnCQudFhfX1fLinP34L1gHLNisWisBLY0OUeEoQZAnAfByPR43pUr\nV+Rb3/qWPtMLXuSgiXPXeJ7ZKsS7hMNhXXNOMIYlxW2eGCOLk9jZ+hwOh6YtlIi1fDk3ivG0GHaB\nrU+24phfua0m1nZ7e1u9GXgnXg93oQ94KRqN6vOnp6f3QRLFYrF90FCYU/bsuqElDgNxdwlANz33\n3HPqqXzooYdM9wUQQ1fAAo/FYmY/4z3ZaxgOh7UwJZvNmrUWcdYTudJHjx6Vl19+WUSc1nLgoXK5\nrOu3vb1t9quI41F58803RcTJY8bawMsAAm/BY5nNZnU/VyoVHf/m5qYnzAivOygej5tcJ+7YhPEz\ntmmz2dQ1mCSxlwfvxC1zU6mUFq6srq7q593dXeUD5KoXi0XTLhZ7cTweG2xOnkc3jUYj9W5tbGxo\nnuKVK1e0WGVxcdHkc7qh4UKhkFkLyLdGo2Hy5cB74KlSqaQeNb5fOp3W33G+HMPcsReNeYNzPOFx\nu3v3rsnPvV/swJ8X4R2KxaKnnOV8SRFRb+zU1JQp6BVx5ho81Ol0DKwOnsNe+UwmY/IJvZ4Hcs/X\nO/XoRSIRfV40GtVxhMPhfRiwWCsRZ52ZfzmvF7wQCoX0fOPIFH5Xr9dVDvB56vZGc47pO6EDVSQx\nOAZv7vV62i7us5/9rIZcGO8oHA4bwHEQ40AxNhKe02q19PtOp2OAht3fvfnmm/L444/rsyFEOFme\nDypeOAaURtjxjTfeMO0c3b03e72e6c3JIWd3+FzEhlMxd5yMHIlEtIr35s2bJoyFz5lMZl8f0UkQ\n5iIajep6MmZcq9XyDF0nk0k9jCEYGXeTi2rcShkf5pzcLGLx1LgVFx8EboMCPAHBxBWPrOhzqzsO\nMeC9GWWAk/NZ2WODiA0oPgg5xO5VcMLC5jBVbcOYYuPhc5/7nMFHZCUDc8VYZwj3cb/YRqOhe5jb\nFLKxx+uBOR0MBrpHuJ8xF7axYGZDEvdIpVI61+VyWcHCRcQYNHgvrtTE2CA78AzwQ6/XM7zGMhWE\nvzebTVVednd3jREOHmE0i0kSo2FgXfng7/f7ajBsb2/r+0YiEaMciFgMSK9QNZ7jlc7CMhf3rdVq\nigYRjUa1oHJxcXFfu1Umd6iT+3IzWDx+y4UyXIwHmcf4r4zYwc/B2ne7XWN8ILWnVquZinGM311k\nOEli0HguWmGnilfRTCKRUF6GAjYcDnV+eN+6sRLxmZ1F/GwObd/LMGTDHrKMZQbGz46lSCRi1s9t\njHCBkIgYjGkeE58XHE4Xcc4Br3d1V+n//6Q2HA7O8cknn3zyySeffPLpF44O1CPphWvEED3ve9/7\n5MUXXxQRp5MELMZ8Pq9WO8NgcDiPrXto9Zx4HggEDM6YiGMtIJx969Yt+YM/+AO9B4i9ICJ7bneE\nyqLRqFoD0WhUu0QsLy9reI7x4dhy8EoC5hDUYDAwoV83pACHULko5dq1awqjxB5ILvefJLFbH1bd\ncDg0kB7w0HKIl70nCBFzmDkajXp6Idl6Y6uLQ0Mc2uaQAIeGYalyyNsLygjPx7W4H3sa2OPGVit3\n5+D58hofJ/dzgj+o2+3qfdjSPkzFNqBaraZhqbt37xq8Py9rulAo7Gvpxp47jmgUi0Vd63A4rPuZ\n9wJ47OrVq+rh7Ha7iiMZi8WMB4LXzD2Xg8FAiwl/+MMfqndkfn5en7Ozs7MvrMRRi16v55nI7/Yc\ngcfd3TgwRi4y4vZq3/72t0VE5F3veteh4gWG6GFPKcPrBINBgzuJz/BAc1SBi224mI0L7NzQJ3ge\n+IvTIZB+IeKsl1fhIHu38Q7RaFQ9qqVSSW7cuCEiTicVrxApvI2JROKe68PnH58T+Jdh5NAGE8Ws\nGCc804lE4lAUXYnspapwyJ4xFEX23jMcDhtPM9aU0yN4H/GeY/nP17if4e52xuc2PnNnIMZ95bOJ\n7+HVrtZrnfnZ7m5MIOZlLgbCv+122+BUs87AkRWeU8jAd0oHqkhyNTVeIBKJqIB+5pln5Mtf/rKI\nOK3ToBj1+/19VbI8eY1GQxeBQz+8uBymxKTGYjHtkz07O6tV1q1Wy4SaEUaNRqN6KKCKj1sLhcNh\n0wMUm5erOJlhuVqXK0zB7J1Ox4Czch6XiM0dLRaLWo28srIiv/Zrv6ZjZ8F8GPqpMrYhhyK8Wkxx\nCIoVKsbd/L+qL7mFJgsWzAXnU/JBzfzjDm17kVcYA//HWMFXjGvJgpDzXryEBh+GTF5KUTabVV53\nh7MPi/KAVJaNjQ0Fyf7c5z6ngnZ5edlUTnsZChz+BJZjv9834V4G+GVeQEoD7x0O+0KBELHtTbkH\nNHgNwjcajWoF8czMjFy/fl3vjXe8V3Uwg0xjvdiQjUajJj3CjX/ovi+3gESYvlwuqxzjPvOHgVgx\nv1dObCAQUL6+cuWKNqvAOcL9iVl+cKU2338wGHhiQGJdjh49qvL+xo0bhh85vw3EuIbcsAA8vbCw\nIM8//7xec+XKFX13EZuTx2lPw+HQKAxeSqwXwPTKyorKBEaviEQi5pw7DIgeIntymc9CxoINhULK\n98y7nGbCZzLzE6fAcV0FiI1vJp5rlr+YMw6b8/0Ys5qB7LnlM3i51+upTMM6sQxjRAn3GcDpcJwK\nIeLIFU7383o/xqQNhUKmPeU7IT+07ZNPPvnkk08++eTTA9GBeiTZA8TteEC5XE5bJP7TP/2T/Mmf\n/ImI2LAiJ87CSuh2uyZcDY270WiYzg7urgDPP/+8eraeeeYZfQZ3GGFvUSgUMu2W+HsRxwOEkOuF\nCxf0fW/cuKHJ8xhPMpk0VgSHILmbDRcLgWAF5fN5gxv23HPPiYjI008/rZ4WxrCs1WqHIqGaQ3kY\nW7FYNFhyHNqG5TgcDk1XBvzL4T0OIWDO2u22sRLdxQXuAhsQVzqz99QrhO1OPWD+ALFHjQu02GPM\n3lUOc7sLOtzjYOLEcb7+MHmeQMCOfPvtt+WRRx4RESfF5b//+79FxPFYMo4rrzvjsok4+4+talzb\n7XY99xHPDwooqtWqRhAuX75s2texBwvf9/t9g+EmYlNqotGookXcuXPHtOeEl8CraIK9J+xN7nQ6\n5r25lR7eG8Te9UQiobJudXVVPa2HodBGRDwjCW5PPd4xGo2qh7DVasnJkydFZM8zzS022SvIXrrx\neGy8yhwKx7/w2vZ6Pbl69aqIOPPLnVf4d/xMEesNi0Qiup7pdFqjXz/4wQ80iuXVqpJ5gnEG3V5L\nt2zK5/P67Ndee029npzmEw6HNdTN6SSTJnjD1tbW1LPP+IehUEj3cTweN+lrvGfcf2dMSXfYHPdj\ntAfeOyD2cPM1jKyBMYpYNAK8VyAQ8Oxkt7m5qVFM8Nji4qLxTuL8Y08lo7RwxIVD2xzChseS5SJH\n3yKRyOGu2saClEolDR9xJW44HNbDJJ/Py1e/+lURcRgLE8+9RjkvDJPAuS3uwxhhNIRC3v3ud2ul\nNrdB4krAWCymz6lUKnrIIEeSc0tYETh+/LiO6fbt2/psfg8OkXBIAuMfjUamotedO7S7u6vj2d3d\nVYZ7+OGHNczGIfROp3Mo8mAYBBcbolgsGqZmAc1zg3VBSMmtsHEuKldzckgAvIdrGbg+FAqZTcRj\ncrBvquIAACAASURBVD/DTV5QFe7qQBDntLGSyKEZvoaf6c7d4UPRDZwO4jQJzr+bNGH9f/jDH2p1\n8zPPPKOy4vOf/7xnazQO8TN/g9zpBdhTjUZD9/lwONScN6x5LpdT3uPWq1xdyeDCDKnFyh6Ux0Ag\noPJtenpaXnjhBRERefTRR3V8yNMOh8Mm7cYLVJsFPu9lvB/vh36/r9XB09PTCkrNYVaGvpokYQzx\neNxUEuN94vG4yVnEmv/P//yPyj30m89kMrqfRfbWheFVWOaKiFHy8Jvt7W0REfnWt76lPDM3N2cq\na70qZ91Kqch+JRBKaiAQUHi2X/7lXxYRkdOnT5sKe06HYvnmNX5O28D4z5w5o+dmrVYzCgb4YHp6\n+lA4GURE/vqv/1pEnAYfUIDd4VhOPwJ5QRhxrh/nD3J6SrPZ1EYAjUZD02MAJ5VMJvU57Xbbs8qa\n9ZH/KzTOjiqG9QsEAjpe1Fdsbm6qc6pQKOh+5p70brQPd45kr9dTecRnKMtTzutk6Kt3SoeDc3zy\nySeffPLJJ598+oWjAzVFWXtny5m9PrA0L1y4oLiIa2trsrKyIiIir7/+uog4HkH2vLAXiUMZ+Nzp\ndNSL+OEPf1hERD7ykY+YKi5o9fV6Xa05tvzcQLHuZ6+tran3YWlpSdssTk9PqxcUIbv19XWDZ8fW\nDCfOM+YTLBBueQjLdm5uTj0oHN7nsBhX9x0GYo9kJpMxLSx5zGx1uq1mbocmYi1yEFuQ3W5XQwyY\n/2KxaNrfsSeQQwbspXZ7Qtnryb9zj5dDr3hXDt2zF43fi70gbs80h0fY0mb+ZzpM7dAYM+7ixYsi\nIvLSSy/p5z/+4z/WcI/IHlBvIpHY50njUE273Vbe6vV6yluj0Uit893dXYOAIOJ4bFBxncvlTLiH\n8ergUajX68pzfA94AxYWFlQOXL16Ve/31ltvqccDRTCtVsu0wIMsdCfWc4jPXcHPPJTL5VQ+lMtl\n5ftIJKLj4/ZvkyROLeF0Euw5Dt8x3iZX5//4xz8WEduAYDwe6+dEIqGRjHw+b6JVuB+KrhqNhoLK\nDwYDOX/+vI4PvMRVr8xvXviU7XZb57/ZbKrH8fTp0+oN+/73vy8iDuoG9gV7r5LJpMFfxrO73a6p\nyhVxZNpDDz0kItbTxUVLg8FAz8RkMmm8uJMkzMPs7KxGKBl3uVqtmqpnrsoHv3C0j2Uj5onXo1Qq\nyZ07d0TE4RF4AMErsVhM78vRSk5DY2xsjhqAODWKi4Xc6UeQR9AjNjc3lSdnZ2f1jI/H43pmuRFs\nGB9ZxIa72+22idhyJBfU7XbvG93lQBVJBhXHpms0GgbSh4U/FmZ+fl4FIoOBIiTU7XY1bLOxsaGT\nwKEuMJ6IaB5mLpczrm+4c7e2tjT8KSLGhYzvWVFhuB6Mo9frybFjx0TE2dTYpOi3evPmTT0UmdlZ\nMS0UCqZTAa4HAxUKBc2vmZubMxsN96vX6/o5k8kcikMD1Gq1FJCa8564wt6dG+PuNMOhH+6Uw8oV\nhzTK5fK+3LRUKmXCX14dA/gefFhzzi6Hl1hBAt/zmFjB44p9r9xKd9jB/Tvumcq/bzQa5noO63g9\nZ5IUiURUyB85csSA1gPCqtvtyurqqog4ewp5fnjH6elpAwHDBy3mitNBOAcZYfUnnnjC5CThd+l0\nWuVRu902nXI4Dw7P5v7w+P6JJ56Qa9euiYiTpwhZglDawsKCyVkD8SE6HA41/5nD99zhilMBlpeX\n9V05LMoK6GGQCbznsD8ZUF1ETCoDp6JwqFbEvh8flpVKRY2IWq1mDnDuu4zx4HcnT540XYG4yh7y\nXkRMugPGgTHVajXlOzaUL126ZO4nYhtpsMLD3d64EUYgEFAFA7yRzWb3VTCLWAWUFWERm8oxSWLU\nEpbnPwu2y/09G94MHYj3rVQquoe3trb07Emn00ZuYDxectRNnDfN/bFF9p/J4MNoNKrOqZ2dHb2e\n8zex/v1+X3+Xy+V0/Bzm5jlwg6KLOLzFucbY+8zvD3I++KFtn3zyySeffPLJJ58eiCbSa5tBVrkS\n043FxGCuXJkJglXK+EvsembcvjNnzuyrwqpWqxoy39ra0h67W1tbeg3CXLgf7o13icfj6g148803\n1eNQKBTk0qVLIuJgSsLzBrd5s9lUzwdXAobDYRMi4bZL3BpRxKnogqeWPSatVsv0UMX109PT+o6T\nJA6rofVYt9tVa6tQKBgMRcbSdLePZMucsTaZut2uhgo4RYC9vV4VeuwN5RZdg8FgX7iR0wb6/b6G\nI2KxmFr64XB4H4A0eyEZGJ2T80Vsuy5+LxGLD8phCa50DQQCxtLmqr9JElvx7AFgwHnGYkOVdzAY\nVO8kV/5j/drttvJTvV43VduYk9u3b6uXH5W/CwsLJuSJa7mpQKvV0vXlvtW4F+/nfD5voh6PPfaY\niIj867/+q9y+fVufI+KEsXCPpaUl8174vt1um6INd7vPRqNhMOBYnjKQMnveDkOTAk4B4XQkrxBg\nPB430QTML4ciMV/j8Vj3HMsKRlAQ2V/Advv2beO1hdeo3W4b7zbPO3sicS+uBuZoFniaI004I7iF\nHnuL3YV0XsUdnA7BzR64EQI+Y67wzMNQdCWyt47cXISjB+xJc1f2MwYl7oH5qVaryivlclk9eryO\n8XhcvZPYw4VCwcw1e3Q5NMznLz9TxHrDuZBOZC+dolKp6LkN3YbPlVarZYpjuIc46wZugHOOpnFB\nH6dj8ZnW7/dNRPad0ER6bSeTSdMHl/MbvXquMuNwrN8dEhBxFDVMMIe/sElFRA8gEZHvfOc7IuJU\njbILHPklDz30kAEJZte4iHN4YMP+x3/8h4bbU6mUKm2XLl3S+7322mt6X87L46pMhnLAocB5Wdj8\nrVbLCEzMTaVS0TEx9A0D2k6SMM9LS0s6fj78YrGYORx+VuiXc0B5cyUSiX1rJeIIB2wShu7hClgO\nn0O4soLmBsbGs0EMWVSpVPTdstmsvi93XgBxFSjfm4lDPJiLZrNpQht8D69OPr1e757QQQdNWDtU\nKYo4Y4bQDQaDuk9SqZTCaLkhdvA7EBuXIns8UCqVNP95Y2ND0084P4xDlBDsDONTr9f1e+Y/7ocN\nHo9EInqY7OzsaN/1dDqtYVHIiampKQOWD367fv26jm96etooLAwn5p6XeDxuei8z4sG9cnEnTe41\n49QSXl+GC8K7Y79znqXIXr5ZLpcz4XHOacb3yFd866231EivVqt62FerVWO0YS92u11dIzw7lUoZ\nxwPy8KrVqukw486b5jlgRZjhzzi9hvM2vdAlmB8ZxqrVaqlCnk6nD40iyaglOAfi8biB9uF0M3zP\naBT4OytfnCe8u7trYPYYwg/XvP322yLirCPmiZ1dnU7HQAqywwOGB+5Vr9c9+2EPBgN9R0btAE8z\nkDmeyb8XsQ0LwuGwmT98xwojp8B5yQE2gN4p+aFtn3zyySeffPLJJ58eiA7UBGF8LXhm1tfX1UtW\nKpU0DJjL5dSyazQaahHCSuDKajemEqz+xcVFrYjkxHl4J5rNpmr7MzMzmnCfy+XUC8KJsyIW8w3P\nw5guX76sHhMGPC2VSlpRCEslHo+rpekGHueqRU48h+WCcLDInveEx9jpdPS9+v2+Ca0dhsR6zN3M\nzIxZe7bE8d7uCmMv4HA3iLiIDZXW63X15jK+JIcIOQzAnkqQG4TcDajP1aE8Zga75TEhRYNb/bkL\nH7w8kowz6tUqj8NYHArjueEw96QJ89poNJQXNjY2tNLZXVzkBRgNSqfT+o6cQF+v19X7t7q6aqpu\n4VnE39fW1kw1NYM6436rq6smkd1doV+pVJQXbt++rXuRK783Nzf34V9WKhUT0mLvGca8tbWlMi0a\njap3nQu6QOyVZU8EFyiIyKHwRLnbgOJf9r7zfuViFHzGnPMe5vQgN4IChzMhE8AH5XLZVMJC7l+9\netV4qSFXEomEogswEgDeZWdnR/7xH/9Rx/ebv/mbImJTDnD2jUYjsyZeIPtc3MeNE0BcvdtoNFRm\nNJtNT0QJLhqbNOH8fvbZZ3U/c7U5zw2f615FItwesNls6r7lM3I8HuvcT09P69kP7/RPfvIT05cd\nxKgq3HpyOBzqcxirEnuYvZOpVEqfl8lk9mGQMvZppVLR+zFaRCqVMqDs4H0uquGxcYqIF2YrR1He\nKfkeSZ988sknn3zyySefHogO1BTlog9YxZwjwEU1rVZLLcyNjQ158cUXRWTPAxeJRNRy2djYUA1/\naWnJYIixdu5uwxWLxeTy5cv6PHgDbt68qdZKr9fTZ7IlDAvv1VdfVUspk8moRzKfz2veF3e6QE5W\nJpMx2G9MnM/ASdmcayUicu7cOU9vXDKZ1HdtNpvqzXW3EJwUYY2npqZMgQqsOvbEct4LexMZS5Hz\najkJ26uFZqPR2Ic1yYnS7Xbb5CHhWsZvZLpXpwzwx9bWlv4ukUiYnCoRhxfx7EwmYyA72Arm93bD\nU3DuDefEujE4sc8YLmjSxIUQ8K6trq4qrJW7JRnep9ls7ms3yR6Jra0tjTxsb29rflqn0zH5t9hL\n3/72t0XEgdF65ZVXRETkXe96l8qS7e1tk5yPNeCcRMiJfr8v169fFxHHi4DxFQoFLe7rdruaB8V8\nCLnDye+RSMR4u3G/TCZj5gPEstWrtepgMNA55ZyvSRL2/mAwUG89Y971ej0zz4yniPnjrmeYA+4c\n4s5H5qgS71ERJ1qC9XbzH8sb8Oza2pq+A7faxRr/4Ac/MB2T4NXM5XL6vuw5vVc0xMtTye008S97\nvSqVimeOpIiYaIjbUz0pQl3Dxz72MXnppZdExGkv6tVWmXPrWa5x9xb2SHKBCjx2xWJRc1aXlpaU\nj7AujCmKc1zEiYBAZ8B6grCW4I/hcGhyIZFbOTMzo9HZYDBo9q6IzeVtt9vKixxN5e5pnEcL4u5V\nDJfH7V1F9jz6Ozs7Ji/zndCBKpIcygV2WrfbVUUnl8uZCQG98MILerBAebx586aCfEciEQ33Mngo\nAxFvb2/r4mEi4/G4hsfr9boBbQVD1mo1DWusra3pAoPJKpWKhsLW19f1HnzYsLDA+Bm3yd3XksMX\nuCadTmsoD+/905/+VEHbU6mUAaXFZqtWq8rM/X5fBdskCQzLobl2u20KovhA5dAg5peTnzncwHyD\ntd3d3dUNX6lUVHnAmszMzJhKUWxWd9EKhwTc4bJer2eURIyZn83tQLn1m1eLTU54jkajnpV7rIRz\ndSMD9IKP3VV+h4UwvkQioQpcJpMxyh6u4cIr7hnrbgso4sw7hPv29rbejxP1s9ms8iL21tLSkknO\n53Aj0lLq9bpR7Nwg/7u7u8pjHJYulUp60J89e1Y/cxgJ78o87X4GF58xrq6IDe/H43EDmOzu5Y17\n3W+F5s+DOJzNa8wYkbimXC4bpwC/r4jFm2WDifElU6mUfmZjBelNMzMzqjy8/vrrKitOnDih+5n3\nUavV0qIpllG4dmlpSR599FERcdaIQfbZgBbZ32KV54OVKAZoZ7QHEJQeDomyoZxMJk2az2EoxBQR\nLUyNx+O6/1ZXV9Uw5IYPTFx06JUaxRiaDCA/PT2t+gMD1WNdHnnkEb3H2tqawaEFf8ViMd3nbixi\n/It3YZB5Tn9wt0IVcWQbxpnNZk04nt+FlUfGXQZxxbvXvbkCfXd3977TXfzQtk8++eSTTz755JNP\nD0QTgf+pVqsa4r1x44b+vdlsqmXQarU0NNxsNtVS/MY3viEiTrI6vHv5fF616VKppOGJu3fvmtCI\nGy6o1+upN7TX62mCv8ietccWO3+GhXr+/Hm1QNPptHoLL126pO87Ozu7D6uNMa9E9lz0XDjR6/XU\nW8HJ5o8//riIOK3k8PdYLKZjSyQSxuqAd6TVah0KqA+GquF2XYx1he8Zn41xQdmDwZ5d7p6EtV1f\nXzehfoQXQfl8Xj3ewWDQeMW90gzYi8gtFLlzAea82+1qqCaTyahXC1ZtIpEwViEoFouZEBrIq30V\nd2xw412C2u22wbc7DHwgYiEq4AF69tln9R05tcRdKOWGueD2l4wjyVBho9FIvfJzc3Ny6tQp/Szi\n7GvuisGhJDxneXlZx8EFP+zJxDPc+Ijwup87d07/BjzJra0t431imB/mBXglOE2FC0147uC5Z7xI\ndzjwMPAC41pCnvJ+YE8ld35hD5IX5BLz/cLCgnqCOLTN3W8wp7lcTuUsR66Gw6Hem/ehV2s6hm9j\n+SGyhzmaz+cNdBPGzykfjI0Inu52uxqCZa8bd4XhOWDsZBBjyXIxy6TpAx/4gIg47SMhJwGbJ2Kx\nId2eeva04++ctsRd9DBXCwsLhhcYR1bEtmrkrkqVSsWsOfSKWCym92M5ABnjPj84xc3dvWc4HJr2\njFyEw6kqDIXGeLEi1tsciUQ8W+uyF79er993msOBKpKoiLt8+bJxvzI2EhS0WCymVVMLCwva6gvK\nwZEjR1T43L17V+83NTVlqmSx2UqlkgpVVgy5Whqbvlgsam5GJpPRyUa1pMgeFuXFixf174uLixpO\ni0QiJlcGoQwIglarZcCTwSy1Ws0oSdx/Gu8FhffSpUuqiE9PT+uBdOLECdMyj4WPVyXwQZOXkOSw\nSrPZ1O8rlYoyNV/DoS1uh8a9ebHOvV5Pbt68qfcDD2Fug8GgpghEo1ED6gu+qtVqOo9euaYsPFgg\nHz16VJXUWCy2r5Uhh6X5sOfqOs4T5TwZrmL1yoXjvDIWuJxzOWliwYi2gBzuCYfDui/T6bQnLiYb\nI5zGwSDM3H8a6/H444+r4cp4dfjMaRMcxgoEAgY8HzzCeUX4XTqdNlXgkEfT09MGABjPxvgrlYr5\nnkGGGSOPFTD8y8ojh95AfJhwSsYkCWNgPi4UCp6tDtmojsVi+u6Yu1arpWuRTCZ1byeTSeWrwWCg\n/MFtD3luoewdP35c/16r1XR/zc3NmdxrNkbdVKvVVBmdnZ3V9UilUqaxAMYJORCNRk0aBZ69vb2t\n74hxiuzxUqPRMHyM70ulksFoZSDr+82L+3kR6iGGw6EqkmxABwKBfcgVILdxyTnAvJ+DwaAqhO4q\na8wDN6fAGhw/flyNRw5zc02HW+HDd+wQ8AJa5/xbfh82lDkMzu1bMTdsHLgxNTF3XnUVPJc4H++H\n/NC2Tz755JNPPvnkk08PRAfqkWSsJhSwTE1NqSZcLBbVeuDWY8FgUF3y0M5rtZr+bnNzU0PfnU5H\ntezz588b3Ch3CGR3d1dbsZXLZbXkt7e31VrN5XLqZTx79qxaf/CWbm5uqvWxtram1m+j0VArsNvt\nquUCK2hra0vvxYm6g8FAn8ce0OFwqHMDiyGbzaolcufOHfWS1et1tVzu3LljKrYOQ2s8DuVyFw5G\n3OfWYpwc7m6NlUwmDV4WV/1zlxvM02uvvWYKrEQcix5rOD09bar6wT83b97UZHpucQZ+5O4HS0tL\ncuLECRFxLFgufsGacyoGE2PXMZ4le6TcXZ7c3Qk4dQPkRgY4LMS8CZkQCAQM/iE8BIyXxl4p9tyy\ndQ8eikQi6gk8efKkVmieOnVKQ088v2zJc6U79mWr1TLFGYgEMLYk7ru4uKgRBO6swjiAkAmJREJ5\ndm1tTT1HHG4bDAbGe8bFNO754vthzjC/+Mxe8kkSF8dgPvL5vOla5tWxx40zKuJUnWK9c7mc6ViG\n67lwjwviwHfLy8v6XSQSMZ3Y4GHOZDJ6pnGkAGktXKkbj8eVvxuNhvLE9va2Pgdrtbq6qt+lUind\nIxwtmZ2dVfxikT2PM/iBq7a5Q0yj0TBtZiGzotHoofBMi+y9w61bt1Q+uosSOTrl5a1n4o5BXMyG\nNeX0Oq7452dwEQzOklarZSr/Qf1+X+/BXmFEZN1V+V7vzjwLymazJjUDMiaVSpmud4wfKmK7nXHX\nNY4IiuydJ4yI8U7pQBVJ5IqVy2VdpNXVVd1UvV7P5O9AOHY6HQ1NQrj2+31lBAadXV9fl4sXL4qI\nc0hzq0DkVCKExr2IMRYRR5HhTY0K83g8rvfDmOv1usm95IMOY2IIHgiIZrOpB1Yul9P3CoVCOjdc\nTZlKpXTRodDwobK8vKzMxODOd+/eNRViPL+TIg5FeoFxs4LJcAucT+TV8omVLN7kyWRSeYmVSigG\nN2/e1Lktl8uq7KVSKZ2varUqV65cERFH2eR2WCJWAE1PTxuFkWFcuFc87ot37PV6pqKdQWYZiYAP\nQxFHAHiF/bvd7r7qQXw+LC0SvUCQ19fXVdnjsH6n0zGIBm44r0AgoH/nSsb5+Xk1yo4fP64hyHQ6\nrfOAv3c6HZOnhLUplUpqzA4GA4N+wMaoiG2Xd/r0aeUFTncZj8fKW5wCA77m9qGc11av1837MjC3\nF4FvmIc4H+qwwL5ArnLeIedCcigvlUpp2NHdQ17E9rTf2trStCKWraPRSOcsm83qPaDsbWxsqJLI\n5wSDnafTaZ27drutY8c8FwoFVR4WFhaUlzh9SUT25dO2Wi01dqPRqCrF+Xxe5UMmk1E+3t7e1txb\n5lcGr2YUDE79YsXqMOTKijiwWyLOmLAvx+OxnqEMncXzzikbbJhgrjnPudVq6f1eeeUV3bu5XE4N\nBcwv9y0PBoPKZ7FYzLRWxf0CgYAq6CAGQOfzqNFo6LXtdtsgjYg4ex/rf/z4cZUJXEdQKBT0jGdF\n0aslIzuTGBao0+kYZ9e95Mm9yA9t++STTz755JNPPvn0QDQRHMlGo2FAk9kDAC/caDRSDb5SqagF\nCs16a2tLLZFOp6PFOMPhUK2LQqFgvARuy48LekT2LP9qtWoSuGF19Ho9dVVzBSQnvHMrKnifGP+L\nk8phiaysrBgLld3heG8Oy8Ba4QKbXq9nGr7jGk42jsfjanVMkjBHrVbLeHY4ZAde2d3dNQUqmAOu\nZMP6cGiGK7g5afro0aOmCEPE8SThczKZ1HWZmprSNVxYWFB8s3w+v8+Lw+FCJvZgcBI+Y4PBM1Wv\n19WLwAn3fG9OnOdWf/g7e2P4+2g06olPOmnCOMbjsY57ZWVF16BSqZi96OXdY55gzyyS4vP5vH5O\nJBIGOJrX3f27nZ0dM9f47MZ4BH9xkROHDJn/QOPxWHkIfNtutz3TIERsMRCDFbuLvjqdjt63Xq/r\nWKPRqM51IpEwlcCHgRcYEByysFQqqbc3nU6rLI9EIsb76A7rTk9Pq3eI5WY8Hte1iMViOr+hUMi0\n08Q4eL0xj41GQz1EHDJkFAH2eoIParWawVEGcsT8/LxWJIPvuEECA/Xv7u6aqnLIvY2NDX1fRiHh\nAk6cB9xyj/dQuVw2qVSTJEQU6/W6ztOtW7dM6gh4JJFI6Jzwu4EY0SISiZiIJhfbYH05VQ0ygVsS\nF4tFlbuZTEZ5KBqNaqSzXC7L6dOn9XsRZ/9C18jn88b7Cx5hbzF+d+rUKUW44WYr/X5f3zWXyxnU\nBi7exHxx206vtrnsvZyfn7/vyOVEmqzyy9ZqNZN3yJWKCOHOzs5qyAHESid3IYjFYqosDQYDDWsE\ng0HNKYHgKZVKKpy4nL5UKummymQyRvlzg4jzRs9mszr+zc1NFTj1el0Zh3Pg8OydnR19HlcQ8uFV\nKBTMYSLibC6GyuBe4pxzybA6h6GvLivb2KyhUMjkxPIByXAnnO8iYsOBfCgGAgFVArPZrArMo0eP\nmkpsEXvYiFiFFuGtYrGoY2XFgA8NPuC5OpDD4O6KznQ6rSkfd+7c0QNtamrKPIeVJi94H84TYvgo\nzvdz51IeJuIDYGdnx+Qm8juwAcFhT/c9otGoMQi4OxV4h8Ne+I5hdzgXi0Gr+cBiUF/82263jRLo\nhvQQcWQQFFrcl7sudTodE7rn9AgGW8a42dhlg4HH4AbuxvWHAcmB85IZvoi72XCqEMOduCuud3Z2\n9EAeDoe6bxuNhkHg4BCvexx8UHOKA68hQ7Ow0cbKIyu5kEes5DWbTeV1hqnBuyQSCf3M+Y3RaFTT\nPzjM6dXJand31zhUuJKYq7wPg0Eh4vS2FnHOYegAvKbHjh0zfaG5kplTmEScPYK14/cV2QMcz+fz\neu/l5WVVCLn7EEP8sW6Ate52u5pewE4GjC2dThtHB9aUO9T0ej0dE4yK6elpAxvEsp/rBEDcvADP\nZn7i84F1hmazqbzNXffeKfmhbZ988sknn3zyySefHogO1D3FFdRsRUIj5yRkxvGqVqsmjA2CZ4vb\nTS0sLBhQYq7+hSaOQhluZbe4uChPP/203g8ApMPhUC5cuCAijgfwO9/5joiIPPnkkyLiWAPwgK6t\nrWmoORKJmKIYWKP4O3syW62WWjndble9q9FoVN3hXBiAeVleXtbxh8NhtZry+bxJ7IUlxC2xJklY\n43q9ru8dDoeNNc2tsRgolb1J+BcWIHuBUqmU8WrCQl1YWDAg0yIOXzLYOPgkkUiYdAj2Frmrtrno\nh8Fu2YvKPXHx91wuZ6w/9taC3C3T3BQKhdQSbzabxvLl0CaIvVOTJi4AwZzcvHlTrl69KiIOXiyH\nX9iaZoxHEHgom80arw5799ibiN9yJSO3Z8TncDisEQYO+3AEgduZcv9c7EW3t9Md3UilUp6FaOFw\n2KRHcMK92yvLnjFGNMC7izheNYyDAf8nSfCMjMdjnQ8uLGu1WqapABe2wOMEr1s8HjeyhPmHcYV5\nnzCmLJ7HaUVcMc78xv2TMY+MC8k9vzH/mUzGhFgZJxAEnuFzgivNeQ/ncrl9LSHb7bZeW6/XzZjw\nrvF43CBbHIaiKxGR7373uyJisT4ZaJ8LUET2ZJtXGlE2mzVRQFAsFtN7TE1NqWfx+PHj+wqvWHdg\nr3AqlTIoIVwtDX5hTzEXWzEqBea9UCjoeYPv0um0kU28V73ODW6+wP8y6gPzGcsBLsy831bKvkfS\nJ5988sknn3zyyacHool4JFutlmrcgUDAoMpDWx4Oh5pofffu3X0J1e4iEvZGsScCkD/JZFKvq9k7\ngQAAIABJREFUwXflclnzIUqlkuYijEYj9Tim02m5fPmyiDhWAryfTz31lIg4Vgm+i8VimuPGng98\nx3PA7a64BRe3Q+N34aIgJN/Ozs4qvIT7M2PrsRfvMHiiGC+SrWPON4E3IJVKqWXd7/d1/hiuhQtK\n4JlLJpN6LXsDGDrEy8PI3S/YY8WFVgzfAIuUE8DdSd9YT85HYzgGfI7H44pDurKyouPn/DD2tOA7\nhnNhrE33OHDNcDg8FF4oEZuvB2q1WvKZz3xGREQ+9alP6ZxwFxZeJ6xtq9Uy3gcvvEWRvQgGe+PA\nh6FQSCMC9Xrd8B7mb2ZmRq9vtVr7sN8ymYxnO0J+DuM9crGQV9szETHeMYyZ5w7fTU1Nmd+xjGGo\nGngc3Jh8kyIuqGPvJLwk6+vrmj/WbDZ1nVutlkaEuKCAMRQhf+fn53X+OVewVquZCA4Ia8fQZFwU\nxt2upqenjVcY48HzEomEPoNl8Gg00vuB73K5nF7D7zc3N2egziDvk8mkgbkTsdBx7CHjwgsmLj6Z\nNHHOKNcWYJ80m00D/8SRIK/zDecK4zsy7m8kEjG4quCdkydP6t+5CxK3IOQONgylhHfAuc3yg2V4\nPp9XzyjnKmNP8tnFNQ6DwcDkQjPupDvqyFByrGMxnF673Vb4w3g8ft/wcBOp2r5165bpNcpueW4d\nhI1SKBRU+ONaZiCe4HA4bComEZY+efKkSXzFtXBfr66u6kQ+/vjj+nlubk6uX78uIs6injt3TseH\n8WARo9GoMl8gEFAGOH/+/D6w2nK5bJLfIbT6/b4uLvcZZgxLLroBxiVXL1YqFYNFifk4LNW6vN5c\nJMUufhDPP1csYzNyqIkr80X2NjH3L+cDlQGH8XcOibORw4oIF9YwcQibC144lI5rGAcT65NIJPS+\n+Xxe+crdp5crtN3PZqHIRgTP2f9j701iJEurs+ET8zxkRmTlUFlzV1dTVT1BQ2MMzdRgy8KWBUIC\n2ZZsI3nhJRs23ln2zt5a8gIJzzIsbCxjsPnkCRBjN00PVdTQNecUkRmRMc/xLe7/nHzOzZtNdX0/\nGYn0PpuKirxx73vf4bzvmZ7DAvoogd3+ePdvf/vbmlSQSqV040bog4hlYcDvptOpIb7HvVutlulX\nrC+M89bWlgranZ0dnW883ry2OTOaM4mRPRuNRnVO+pUL5khFG9DmbDarY8Q8oblczmQhY15w/XpO\nAONEJbSTS8PmcrkjMReCiJ39WcWsEPPhC/3LvI9ApVJRl3exWNRDGSc2MDMA5kEmkzGudDZaoM+5\npjqXGOSyu5z0w8wdvHb9SuLGxobOS2bZqFQqOrapVEqTQebn5/XZkKfb29vmGX4eWbSJlc6jwDEs\nIuZAFqQsc4GPcrlslEu/S5n7IJPJGIMCk3hzqUOMAxsOcI7IZrP75peIp1Qw2wo+Qw7s7u6a+YF7\ncIncSCRiQqzwPF7bnJHNdcVZpnG4kIgNqRoOh/q7+fl5vd/q6qr21fr6emCZz7eCc207ODg4ODg4\nODg8Eg7VIgnzMHPkRSIR1RhTqZQJEIa2x0HlzDvHPElcBYRNyEwjAhMy03RwRQDc49KlS6rxhsNh\nw/+E6+E64HJ+kUhErWnj8dgkgeB7dmPid71eTylg6vW6sVRy4gcsaOxKg/u/Wq2aBBB+R2biPwou\nTW4Pxp7LW2WzWe2DUqmk5QZbrZZacTCXVlZWTNICNPJut6tW7LW1NbU8JxIJ7RvMwXA4rM/O5XJK\nvcDWPHZt1+v1fZQpyWTS0APh3lyWK4iuh2kj+PtwOKwas5+ihS1fQb9jOhymIeLAek7mmSV4PbPF\nDu928+ZNXWulUskEqaO/oeknEgljteCkLoxBo9EwiRWYfzdu3BARr6+xvphPlrlgOdyC3YZAv983\nSRi4BwfOZzIZY7nCtRycz5YqWKiYwiQajRo6JBEr/7gyCCdksbzkpJ9Zgucp+pmrl41GI7X+MJ3J\nZDJRSyQnDmC86/W63mN7e1s/s2WG5x2SIvv9vpEPTCWF9ToajUx5Q4wd3qXRaOh3nU5HZTXzf7I1\nlClamAOS3ZxsAcX1PKexVjgJKRaL6fcsE5gejMNCZg1OLkE/+Ku0oF/r9bru62ypZv5XeD9TqZTh\n58R+yVRcnU7HyG4Rz+rI9D/MP8mhKmzd5c94Boc4sVcB48iVcvAvW2IZ7K7mBDuWUxxqwd4N/H1x\ncVHfq9fr6T47mUx0rT0sDvVUwbEHEOBsdk0mk0ao4SUzmcy+8lOcwcluhXA4bEg94aKOxWL6PQTB\n3NycmvMTiYR2NvM+8iGWM6+wmddqNZ1M7FZMp9M6aePx+D73F7veotGoyTJDmxYWFnRAp9Op4aUU\nsSUZK5WKiRVB+3O5nHH34cA6S7B7lzdOxKvyu0ajUTlx4oSIeO/1+uuvi8hehubS0pIhr8Y8aTQa\n2nf37983/JMcTyjixSRxzBgETD6fNzEp6EeutQ1wTVz/YZ0FN3PT4RloZzgcVgHCtWW5hvh0Ot3n\nHmdXCYPnNF/DG9WsERSfxyUct7e35c6dOyLixf5yXKBfWDNBNMcocybwzs6OKob9fl/DZ8Axm06n\nAw9iuVxOw1J2d3f1fuzaRl8Ph0NtJ7dje3vbHAow1phLfGD0u+SAZDJpNsMg/kCeC5jXk8kkMJZs\nPB4HEqYfNlgW8mEgiCtPZE+OLiws6HhhLLl+cLPZ1HvXarXAMqy8doPi1TisZWFhQQ+EmUzGHEZ4\nnaP9kFPb29u6T3C4iz+mGW3gsAfI+0gkYtYz1nC/31elmUnRObwC/cUZ7f748qMQ4sBgLk8Gl8vk\nOOeg2thcmCKTyRjjFMtUXMNKPcYgm81qv3LJzX6/H1jDejqd6nkkSDGMRCImO5vXM4db+dvGZyU2\nLgyHQyPP+dAoYrlUuR2Li4saHsExtadOnXrbc8G5th0cHBwcHBwcHB4Jh2qRZHcDcy7BlcgVRtrt\ntkmAwMkZJ+tMJqP3e/DggZYxarfbqsG3Wi0TMAvg9L20tGSqUsAEPh6PDdcStIrNzU21SrBbmjMO\nWaOFhjIYDLTUExCJRIylga2v3E5YRJrN5r6EI5E9zYWtXcx6z5UiuGzjLMFWZ9aUob13u11NIiqX\ny8Y6CRcEtEXmFCsWi0a754QudvlAe+MQAS6DhblWqVSMZYKtJv7SUlwZgi1LDA6+h9VlZWXFVEmC\n1SKbzeq7FgoF49L1V+TgpCyet5yswKEgo9HoSGTqigTzYjJyuZxcvXpVREReeOEFk/ka5JINqgDT\n7/fNfEGYw87Ojn7PWj+zB7ALGPNsOp2aMWCLP8CZotxmXMMVcbAm2bXI3LOcWOgPlYAFgxOpOEGI\nrSC4JhwOm+D7oMz5wwb6k7k02YrKpWhTqZS2eTAYaH/Ak8PsDVxykZMNk8mksRpD3mCf4GpCYPMQ\n8dYrximVShl2CT/H7Wg0UhnE+1W32zWWNswP7gsuJwyZwHOJ2T3YlY93Yi5b5hJtNBr6bLbEspV0\n1mCZxfKXeQ7R7l6vp+/31FNPqVUac53DIOLxuAk/4pAUDjnh/hGx7CLc12w9Z48PM3Fg/NnlzMnB\nbJFkvlj2OgVVpWGvAst8rraEfkwkEiY5DYw0nDjGc473jYfFTA6S7XZbD0jD4VBN8JFIRAexVCqZ\nzdpP5ByNRjUe7ty5c9rZ3W7XdAJn3uEQiM0DBwYRr9Mx6EzpwXFIoVBIn8m1PnkBclxNEHk6Z9zi\noLC7u6sDOhqN1HVy9+5d4y4DuAZsUAwGbxrs3mR6oqMCjFuz2dR+ZDqO7e1t7ScG3rXRaOiGWygU\njOsYfcpuQh4T/L1QKGicVTqd1kMn07+Mx2NzCIdA4vrF7C7kzYZjgyGccK9SqWRIl4NqavM4c+Ye\n01AA7LLxu7uPIv3PQeB+hRLGfdnv903dWRFLzcJZqK1WS93Z6+vrutmcOXNGXnjhBb1exB6+BoOB\nkRlcoxifz5w5o3OK24Zx5tKfHH8psjeHuLQpPnNWOoeAxONxc0Dguup4hn8zErExdZzNzSE/swTH\n+CKOMZPJmEMxK/1c2pYPiiL2oF8ul7WPtra2TFlKrluN9chZvQAf9Hq9XmAs4+7u7r41xXF4xWJR\nr81kMoaOhbPs8S/X3WYXtj8mVsQWL2BqIl7vrCxg7BuNhpw9e1bbf1RiJNHWTqezL4xHxCpC8Xhc\n9+Tf/M3flFdeeUVE9kjNmbg9FArpuHJsIq8ZLknJmdPYv3d2dvTgxofH6XQaGIcIBLnogaASpbie\nwxL4+/F4bPYm3hPYiCTi7TV8nnniiSf0fkwlxrIzaM99KzjXtoODg4ODg4ODwyPhUM0SbLHBaTke\nj2uSRTKZ1PKFIpYkGNo7rEWciMIn+sFgYALuQd7Nlk/8/fTp02qpCIVCeiLvdrsmGw8nf9bYoAXB\neojv4OpgbaXb7Wq7oeXs7u6qO2VtbU2fcfLkSf3MvINslYVWms1m9Z24bZFIxJBtc/A5NN1ZgpMg\n2B0fpH3u7u4afi4A/cgZspw0E4lETPYa5tjS0pKOHbSuhYUF87tjx46JiDdu6N/hcGg4O2HBYK4u\n9Pnm5qYprYgAbib8Za5TvEuhUDBuLM4uZ7cpu0jwf84YRT9xxh9nax6UnHOUwBo8PAdXr17VEASe\n17DOdLtdU6YOv9vd3dXP9Xpdk7c+97nPqWcElsd+v28sjFxuFfNGxPINoq14Ri6XC0yC4czYwWCg\n8wH3Yq8Jl3dlyxxn2uL/DLbUilhLK5efBbjs3iyB+VipVNQzFI/HjbWULbec2IB+Z6YKjMnS0pIZ\nK7Y4ok/Z08DJM2xJBqrVqlpDB4OBPpNLayIEgsNbstmsSfTBs9k7ALnHSZupVErlx61bt1TGMEk6\ne6CCPE7Me8v7YygU0jYOh0NjhZ0luDwktzXItc1llUulkvYVzhEPHjwwbmmcGaLRqAltYOut3zIb\niUR03jC/K3uNmE+aE3S58ApnUXPiFVvd/Qlb7H7n0Jher6dzgb2VvV5P34v5iRHOs7i4aOYl9hJm\n0gmHw2873OVQD5IQEO12WydLuVw2tC/o+O3tbV3g1WpVhf+VK1dExOsATJpr166piZ7jG3u9nhHy\nHB8j4k0yHgTO/IZ7pdVq6aGg3W6r8OfMaQxMNpvVA8vq6qq+b6VS0WdjAvHBIxwOq7v9/v37xn2P\nCXD+/Hm5du2afi/ibRocY8hxEOgbph8RsQS3swIvKM6QxaJh1xv+j3/9sRvdblcFu/8gifvNz8+b\nuuZMvSGyv7pK0OGW45Om0+m+TYhdCsViUV2T8Xg8sFY0HyR5I8H86nQ6Kry4nxgcN8nu7KD+ZcoJ\n7tNZIygMhT9zvNFrr72mrANcgYJdivhcq9XMgZAzaeHa8cfjiXibEW886GOutsT0WpzlzYfEIMLp\nZDKp9/Arif73rlQqZmPiijcAKwq8oWGucw1mPkTxoZLja2cJZuXgPueQJnYH46DAmccAxy5GIhE9\nSK6srJgDFeRzt9vV/sM+0263DXUc1iXPUVYsmM6NiaLx7FKpFJiRj7aI7M1BdplzDGAqlTIufcyf\nXq+n7wKWEs4+5jYzg4jI3uHVX8d5lmA2FsBPg8NFQM6dOyci3hyHTOfQEOzJjUZD98tQKKSyhBVr\nzingdcF/Z3cwx50DfFDkdcbx1pg7nU5Hr2UmAYD3ldFopHOSFU1GIpHQPRDrqNfrqUHk4sWLJhSE\n3fgsH97u/nC0zRIODg4ODg4ODg5HFoeqguA0za6farVqgtihBTAh+fz8vFp+8Lt0Oq1B+FyvlE3+\nIqIcdJwUA22mVqvpyXt+ft5oM3h2o9FQraPZbKq2z1ljnK0L9Pt91Ua59CN+H4/H9TNr1FtbW+pC\nZS2xWq2a0okiNhNMRIzrhDUoXNNut01N8lkjFAoZNzcHRbObh7UjTs4R2V8ejLn5MFfYgnHjxo19\n7sCdnR0dq2g0qveLxWJ6LSdaiezNZfydOcpSqdS+ursi3pxF+5hFgN10uF8ikTCJWWw5gAYL6z2P\nNwd9491FrOWPLa2zBlseeR1xn2DdXrlyRT7+8Y/r9egrfhe2/jIpMT7ncjktczqZTNTCg2ewdSeV\nSumYVyoVlU3dblfdl1xPmctwsjziusmYWywTOHgfv1taWjJjzgke/D1bsUSs9ZJdgEzuzHKFvTZH\nAUwkzxnokUhExzudTpsESM5UFvE8Q1zrGGvNn0EPq91gMJDV1VUREZNox5nynOwG9Ho9U/OZ5Q1+\nxxyXCMtg+ROPx9VaBNlQr9eNC5OLLLB3DGEZXEIT/1YqFZM8wfsm7seFCdhzMmsEhWNw9jJfk8vl\n1CIpspdIiz5eWFjQfZ335Lt375pytGxx9lufuYQuJ6/yvGBCcrb4Ym3H43ETzsCZ5EHuavzb7XZN\nEh/vO5yYyV5RzAHsD6+++qo+7/jx48YTwv3IBU3erkw41IMku9mYOBoTPp1O60To9Xo6IPV6XV2B\noGKYn59Xgc8m3mq1qgJie3vbVI1g4k8A33U6HVP4HM9jOqFer7cv1jEWi2mcZKVSMTV94ZbmmAts\nXLlcTice0zOk02kVFrVaTfuJGfzZFYYJ1Ov1TBwH+i4ej2sMEVPAzBIc9xJEc3DQRA46UFarVZ0T\nzWZTBUWhUFCBUKlUdIxWVla0ikkQrQJn7HNMI2ficRUbrnXspwQSsRQbPLZ8GOD+CHIv8SGL28EH\nL3b/A1zBhN0mnMk4a/hrWPO//s/Xrl0z74m/cWUbFrpYq7xxr6ys6HzhbE2mVeE1wtQ+EO6sXPb7\n/X2KSSgUMgcdpgoKCrHAffP5fOAc57gnXuf9ft/Uhcd3HOuE+cmhI9wmVlJmCY73wsbKFYQ4fIPr\niXc6Hf0tu7uZbDwom5bjyHnfgaxcWlrSuZRMJs085Y2f49v8tGJM1dRut03cNBPTM9WPiCfrud40\n0+YhrptDltLptMb+QWatr6+bAy27WLFvcjw1hwPMGkHKpX8/QKx/uVzWcAQO38E+e+rUKe2zVqtl\naPtgZOKxY9nNeRJBtbGbzaZhzOD4Vb+C1+/3DQMLK4+8diGH2IWN71qtls4R3js5ZIZd75i/1WpV\n3vve94qIZcNhNpBcLmcO7X6Z9rMw+1OFg4ODg4ODg4PDLyQO1SLJriG4qlmLCIVCJogWQGY1g02+\njz32mHE5w/o0nU619Bmbp3HyLpfLRgPhDE2YwzkDMJfLqaYDzabf76vlsVqtGm0Arvfl5WW9Hppv\nPp83JMl4drlc1ndhS1q1WlUtBa6JY8eOGcJhDsrGu+7s7BiN/CgkWXCAMluhgupF+0lY/e1nbr7B\nYKDjUywWTbITxnllZUU1OfAJiuxZf9gaxdx17F5kDjfmeuS/w4rNZOIcyM28f7BU+PnH2ArCHHn+\nUAoOFud6s5zZPBqNjNvkKHAHitgaywf9HWtqZ2fHJF/4LWkc5M4Jfd1uV8fsxIkTZp6hT/ha3CMU\nCumaY/LyZrNpLJlMKI9/MS/i8bjJkua6upCH7D1gKyT+zi5x//ijP5iLkOcFZ/+ylYHDiY4CITn6\nMJFIqPxjK2okEtE+WFlZ0XXO7k/mFWXCcu5TrA0OqWK2DQ5TwO9qtZrpX87wvX79uoh4LlR/gkWj\n0VCrVrfb1YzqyWSia77VaumzsY80Gg1972Qyqda3mzdvGiYHDv/AmGNvYO5DJm1PpVIm6ZW9WEeF\nkJwtujz+eIdcLqdsLLlcTs6cOSMidt/AHGJ+6EKhYGpL494PHjwwfYXvuZzwQUmB/HcOKeKQLRFr\nkeRwOG5Hq9VSGcMWSS7ewvMCcyGXywUmciHJKJPJaDjPcDjUOcnzkH/nD496GDiLpIODg4ODg4OD\nwyNhJjGS9Xpd41n6/b5qapwswZUpLl26pKdynMh3dnZMhQrEiLRaLXn66af1OYhhSCaTqjFC4+Ey\nWNFo1MRtAqFQSDVFrl7C1BzMT8m8XLh3q9XaV5lnY2NDNYqdnR1NsKlUKhrTkc/nVQvnAHK0s9Vq\n6T0WFhbUAspxHMlk0sRrHAVLFFuEWNNj2h1YDvw0QPg/x3NA+8xms6qRs3U4Ho+rhXlxcVGDsxFL\ny6Xw2BLOcWzJZNJobf6qOel0Wq/lxBvmZmNrI5fKYysVW7dwb47RYY2ZeVl5HnOlKF43mD9MOTFr\n/Cztni3VqVRK1tfXRcSz8jN1lIi1vHA84mAwUMv+uXPnTAlE3AP9xFbNcDis669Wq5n4Zo51xPWw\n6LTbbZP8gu9DoZBal9iiwFWyeL5z2UuOFePECT9dCJdO4yodHGMWi8XM3DoKMgHt83scmK4HMeJM\nYROJRDTpBHsHv0+v1zOJmthrtra2TMUvjsUUsWXnDkpEiUajGlPZaDRM5R0RW8ZwMpkYLlPMg2g0\nqrIEf+90OobGCvdjb1U2m9X3ffPNN5X7FlaoXC5n+hLzOBQKGWsdW+XebjWTnxeC9gS2BJdKJTl9\n+rSIePMdMZLM78v0OlhHqVRK+50r1AwGA6VNGgwG+xIpE4mEKaEa1E7+G1tPgW63a+irOPYan7mS\nGlspMZ+5QlE2m1U5xmUWuaIezkfPPvusWmU5OW08Hmv/8t7DiUMPi0M9SKJW9OrqqiFexoJg9yxn\nH3IiA8C/43q3zWbTCBxMslqtZgLPRbwFCE45PtixGXowGBhicRwWMOC1Ws2U6OPJGZR9xnW+MXn5\ngMKu2kwmYzZJTBws+LW1NVOn99KlSyIi8t3vfte4ZDnj8CiUweL35bAG/ntQBpyIBG6MmDOVSkUF\n6tramvYBZ/h2Oh09VPD8YhchB/JzHVROrOGFC+A7f9lMP2E+g3/v53I76Hd8gBSxigNn9TKnaqfT\nMdynrCzNEpwA4ueNw985qQCuxHK5bJL38C/GvNls6rtns1ld56dPnzZhKQC72P3rUcSOf7vdVsWE\nyaVZUWVFDvfO5XImsZCz7vEM7g+un8xJAgBvBHzQ5A2NkwQAv+vqKCRZ8DrgTRufh8OhuhpZJofD\nYZWL+JcLHeTzebM3YA2wohGUwJZMJlXOtttt/Z7lJ/OMsoxHm+v1uj6DUa1WdTz8NZ/RHk7MgGLI\nSmkul9P5ls/n1diBAwNzBHLCJR80OHRgNBodGUJy3jc58QYy9YknntAMeA4jCoVCpuww7sEKPmdO\nQwZOJhOVBZVKxYQd4Hf4jtcXnwdisZh+z4l57MLmxN8gwvHd3V29Byf/YS4XCgVT2533I87EfvPN\nN0Vkj0vz0qVL2ne5XM6E4LDhi88aLC8eBs617eDg4ODg4ODg8Eg4VIsktIVoNGpKBMFqyIHW+Xxe\nT9S3b9/W3966dUtERD760Y/q5+l0qtrDxYsX9d7z8/OGV4otiyKe1gnNhUudpdNpk/TDrmHmChSx\n1BzM58eaK7tA4IZpt9uqoayurhrOKljVRERdeeVy2VCboI+guYxGI+3HVCplqvQw1cdRSLZhsMs/\nqLQfUxb5q4uIWMtko9EwFlqMPZcQ89OLiHj9hfsxRQ9rehz6wDyHnPjA9EVcOpETh1hrRfuZCijI\nEs50DKzB+ktj4e9cTo/pJDDXW63WkaCBEtmzPvjnpd9tLeKNFyyS73znO02FJxGvLyEH2HJ34sQJ\ndYVxGMBoNDJWKRFv/TGHLHMachITW6K4YoWITXZjV1I8HlcvCruXOVCex5FlUJCVlC1KcNmNRiNj\nqWAaIiCVSul7x2IxDcSfJYIsexyawdbXTqej78W8iKA4ef31100iCuZEOBzWMUomk+YebPkUEePm\nHQ6HRiZgX+LSkmy1hNzxW1RZpnE1E3xmais8fzQaqSfv1KlThsIuKGkGYKvmdDo1c5ctfmwle7vu\nzJ8Xgkq5cmjD+fPnlfczlUqZhE3IfyTocjW6eDyu/cpW606no2u03W7vC6Or1+t6Xw674WRMdlFz\nv3LFKU7M5Hfl8Ac/jVsqldK5l8vlDF8oJ3dyWzFffumXfklEbIUrxludBd4uz/ChHiQ5loXLA168\neFFEPPJwLifGdWd58ovYbGSOGyqXy6ZMFDaeZDKpC5zJO4PKnhWLRX02u9uLxaIRRPg7l8nD95ub\nm6aWLi8OEU/YMAcVb3w44GxsbOizR6ORyd5DezgjFAIzm80alwrHAuGaWeKgjDB207Fw4AMmZ/Hh\nX74fXDyRSEQP77xR7OzsqIss6HDJWdSTyUR/x9xgQSXtmBuO42M5JIOFF2fbs3uJD6sQTP6wDs5S\nx7UcUsGlATEPWq2WmStYi7PGQcKM3bN4fybT73Q6JvsQ4IM/xvHEiRMm5pZ51DieEL9nHkZ8H4/H\n9X7ZbFaFNZO7M4k+C2I+SDKJsJ8bjzPus9msWfvMAwj4WQ/wLFZAOLyDibs5CxluwlkCY9jtdk3J\nSVaamXUAhwousoC/N5tNE5KCuVSv1035Oz6kYJ1DNnAGbblc1nhqjnPl/g2HwyZ0RMRbY0xejXVZ\nLBaNgYOzeUUsiX04HNb9heUKZ4QzmNcSc6bVauk96vW69m8ymTT72VEiphfZX58aY3r27Fk9zIfD\nYdNuHBTBFbu+vq6f2VjBpU3Zhc5riseA+a39oUUi+wsq+EOYeI/iECbOE+ACAhxvi88cBuEfK/w/\nGo2aYgN++HmGg/ZiZix4WBwNs4SDg4ODg4ODg8MvHA7VIgmNvtlsqjZVLpfVNTEej9VdwMHyc3Nz\n+8pIbW9vG4Z5uIPX19dVW02lUsZqAWscMsYZlUpFzeVra2vG+sFB9NBc8DxOtul2u2qp8Jc3PHv2\nrF4v4mnPsApxMflMJmNcpNC8KpWKKcuG94OmxNaVcrmsz2HtnLXmo4aDqtmwe44TIVizYvc4NLZK\npWLcPVwhCIkSHJLA1kRY7qLRqOEe5XJtP0t795e/w73ZuiqyP/mGs7nZVYJncyUVtkLi751Ox6wh\ntk7C6pLP55UlYNYI4mfjcU4mk/LMM8+IiBc0DmsQWwU5mYyZDbB2uLpJt9s1Fnq/BUBewUXAAAAg\nAElEQVRkT5Ofm5sziTyQX2xZ5EQnv9cE13L5RbaY+qsYcdC/f05yqTUG3heybX5+3jyD78H9hGuK\nxaLhy5sVMCa8ZlOplHqXRGylEU6qgvy9ffu2iFi+PU6u6na7arEaj8fal51OR8OCEC7VaDRU3rIF\nd2FhQRlCYrGY9v9wONQ9g+cG7yNoZ6PRMHLb70qdTCa655RKJR1bdrGHw2HjsmfGAAB/Z08UczOy\nB+2oZGyLBHusMpmMJkmWy2VjUQcmk4n2MbycL730kjz11FMiYuVKPB5Xecicm5lMxiQuBrUH/2d2\nBg4vYPc35DIn4xwUxhP0HT97PB4HXuu3drK8Oei+Qfc4qKLYw+BQD5JcFogPhOyuxEK5d++eoVHw\nxx5ub2/r/crlsgrGnZ0dQ8yNDbPf75sYTbQDnX3mzBnjdmLCdDybXQT43dLSkqmLiUPK6dOn1c16\n8uRJQ/EiYrPNBoOBIUHGwTqfzxtyW9ybY/ywsXKpyXA4rPcrFArav8Ph0LjTZwW/e1rEmvj9pOD8\nf38MSTKZNAc/3LvT6WicTLFYNMIdLm+mTwiq1yxi49FYEPhN/+zOYHc1L37+zHFR7L7B73q9ntls\nmOWA42JxLeYju7BbrZaZK5i78/PzgW6xWQBr8tSpU0oyfOrUKd3YmSiZ400zmYyuByYw5sxZ3pjR\nJ/1+Xzd3v6Ig4o0L+oaf54/h5bgrf/wql0jke3MsblAWvogYMm4Ot2AKEMy9bDa7b8Pp9/umtjRc\n8353O/oUZM6zBh/kOb6Y1yiHZrAShbmC+cAk6ywTRPbGiEM7jh07to+ebW5uTtdLPp83MYtoB7cH\nSouImMIR+J73keFwqPerVCr7YhPH47Ee/KLRqL7LvXv3dIPPZrMqH5aWlkxMvMj+YgToU44z51j0\nTqeje8mswWOOkIJ3vvOdcvnyZRGx4Uzj8djIZcx9HB5feukl3U95jBKJhFl3zNSBPmFWhSCFl8nE\n+eD1MHkI/vkGcLie//34wHhQeFg0GjXxsPiXjSYAh4357+Fc2w4ODg4ODg4ODoeCQ7VIIoFleXlZ\nP7fbbWMl41J1uIa1aWgr6+vrqq3w70T2TuLr6+vGvAttBW7fc+fOaeH2WCxmsj9xUt/c3DSaJ7Qb\nWDW2t7dNAC9c3p1OR7WGXC6n2ddoPwfvb29vm8xNWMxOnTql11+9elU1XSY4xu+YF5CJlpk7kolu\nZwlOZmAr8M/KJA6yWrK1mjV71rxKpZIh74W2DwtGLpdT7Z2tlzwv+d7RaNRYH/FOTGDL1iTOnGUX\nNdrPJdyYDJuTC/h3mI+Y2xwGwslUk8lE3XPFYlHnUjabPRJ8oiIif/qnfyoilvOQNWIOdGdS38lk\noiEqIGEej8fGfct8kTxOrIWjH9C/nJ3vt0xzJuZB2eb4u584X8Rbt3jOdDrdx9XW7/fNvOZwBR5/\nZgxA+9HWdrttEraYGxDyg5OIFhcXA8m2DxtMOo8+YOtQLBYzYQZshcZ7wbXNTBXtdttk08MqlU6n\nDbceyJvx98lkokkauVxO5yBkNq5B3xUKBbUmoz1sTWTGD+YGzGQyumbZ8s5Z57xW8V6JREItpsxl\nindNp9PGIsXtRv+mUinj/j4KpTJFRD73uc+JiNen8Cj6Xe/snmcPFyfkiNjQgFKpZMI+OGHzoCQW\ngL1GQddweUa+z9thxzioOAN//lnXsPue5R8n3R3kHg/iaH5YzORU0Ww2TUwCXnx9fV03/EQiYYQq\nMguxSJeWlnSh37x5UydarVZToXD+/HkTz4IDJGKC4vG4LsC1tTXddKvVqokr5IxrCBTesLHQ2ZXI\nJuZbt25pfAcmbDqdNvV4MeinT5/W2K9Wq6WxHjdu3FBBhc3hwYMHumA4lqjf76uQ4Q0a7zNroI84\n486/SDCp/YqG36TPhweu1BCLxeQd73iHiHjuOxw6NjY2VEHhWsdM+cIE+Vxth5+D+cFCnrP2ONaN\nhZQ/bsUf88iu+aBqK1x3mSu3sMufSWsxp3O5nInxOyrAuuXawf5YHR5zrJlWq6VjgHfkGsVMq8EU\nS/7qQf5Yq263qzKGYyF7vZ72N68pViD4YMjhDBxzxQTGPNYiNsOYN0jOvmd3O8d7BhEjD4dDdVfy\noScWi6k7+GHifQ8DPA5c9IHjZpmlAHL9zJkzRvny309kb1wKhYIpTADaozt37pjDFX4PY0EymVRl\nhbN9V1dXdR9ADD/fIxqN6lziEI0nnnhCrly5sq+dQDab1QNUtVpVmVEoFHSsNjc35dlnnxWR/Zn8\naAPW1sbGhqG34nAIrt19VOh/3ve+9+37jtvnP1wxfRrADAtsIPLfMwhBeyRfy2s/KOzqILARhOU1\nf+93bfuzrA8CrxM2HInYOH2/0hh0T39xiIfB7E8VDg4ODg4ODg4Ov5A4VIsktB+uPS1iNQDmzoM2\nffbsWT1VQ8NbXl5WLTCVSun3yWRSf1etVtUKmc/n1brHHJZ3794VEc96ifb1ej3VCGu1muHj8lsA\nMpmMPrter6s1K5fLqbbKGgGCvNlNx9nUw+FQ3ePdblf7g10VsK5961vfUkunyF5WY7VaNe/IVtCj\nVFdXxPIF+jPURPYnwvj/7k+Swfu9+93vlve85z0i4rk0MF6DwUCtymzFYW4wzEc/yTj6kQP/2WUE\ncJlCHkPW9NhtjfnT7/cNFx6X3mM3BeZKUB9ls1m1RCQSCfMZlt2DgqxnAS5bin5ni18kEjEE2wgt\n4UIBCHHJZDJqOcpkMqY8JN+PXZ1+N1Cv1zPB+1x7GfdLpVJmfXEJPhHrHmeLKifm9Hq9fdbQTqej\n48jl0tiiOhgMDAcpfov2cNhFqVRS63sikVALW7FYNGwWR8FCzTyZWFu8Ljnpjq0qc3NzhnRfxPID\n93o9Q9yNNTU/P6/9f/PmTTl16pSI7M2ldrttXNXMnsF1stHX9Xpdy3DCxc77UiwWU8t5r9czrmh/\nMkUmkzE8mJz5i7H3Z1/7y/qxl4LHl8MyYrGYrqfFxcUjEfb0VmDPIIdvBFnVMP75fF7HgK87KEP5\nYTx2QbLzZ/3urayJ3I63uo69b2+VeOPP2ubzB1/LFlDG2020ETnkgyS7cjHx/QcbCL5yuayLlytW\nnD9/XkQ8QQsBwQfTQqGgbg+On/vABz6gWbzcsYhdfO6550y2FsfgsCvWH0fCmzyTCKfTaT3k3b59\nOzCdn10Jjz32mIh4Lna8Y7/fl6tXr+p74dALYVcoFDSeEu1Dm7A4OLMsm80eCWHBMY0cFxQEXuS8\nmbB7AeBx/chHPiKPP/64iNi4sXA4rH0GARuJRExlEL4fBBITBzebTZPJL2IrlTDpNbuu2S3JAh8H\n206nY2K7ONOcScg5Y13EG1cmsMW6SKfTGgbBWcd8CJs10FY+SLLLiGN8Q6GQcUtz2IGI5+ZEdZOv\nfvWrhpwZnxOJhP6u2+3uo17xk82j3zudjonR46xLHDhwLR/8RPZCUThGlseU6/8CfN/RaBRYoYtJ\npFlG8TxlQJ5ydm6xWHykjeP/b2A/4Io++XzeVIBhOhbIwK2tLf0tx45ziACTeGM9M3Ua12jHYa/Z\nbOrfY7GYqUnMFVE4Xhn9zbHXQQrK9vZ2YMECPvBxKAuTzWO98Hzs9/tqVIGhgunxmKR+Z2dH+2k0\nGgWS+h9VBLlbDzpIsmsbfcNk4yL2wMTxgf41xc8OCr/C97x3PGpsZBBzCcDtOWi8mNrLX7jire7D\n9/O77B/qHd7W1Q4ODg4ODg4ODg7/H0IPY3J1cHBwcHBwcHBw8MNZJB0cHBwcHBwcHB4J7iDp4ODg\n4ODg4ODwSHAHSQcHBwcHBwcHh0eCO0g6ODg4ODg4ODg8EtxB0sHBwcHBwcHB4ZHgDpIODg4ODg4O\nDg6PBHeQdHBwcHBwcHBweCS4g6SDg4ODg4ODg8MjwR0kHRwcHBwcHBwcHgnuIOng4ODg4ODg4PBI\ncAdJBwcHBwcHBweHR4I7SDo4ODg4ODg4ODwS3EHSwcHBwcHBwcHhkeAOkg4ODg4ODg4ODo8Ed5B0\ncHBwcHBwcHB4JLiDpIODg4ODg4ODwyPBHSQdHBwcHBwcHBweCe4g6eDg4ODg4ODg8EhwB0kHBwcH\nBwcHB4dHQvQwH/bJT35yKiJSr9flC1/4goiInD9/XlqtloiIxONxGQwGen0qlfIaGd1r5ng8FhGR\nUCgko9FIREQikYh+Px6PZTgc6uder7fvc6fTERGRyWSi9202mxIOh/V5+NtkMpFYLCYiIoPBQNuE\nv3N7p9Optmk0GmmbJpOJhEIhERF9xng8lmQyqX/H95PJRNsfjUb13f3vi+cBw+FQn8fP+ed//mf5\n+te/LiIily9flp2dHRERefDgQUhmBMyD6XSqbR6NRlKr1UREZGNjQz71qU+JiMjZs2clkUiIiEg+\nn9fP+LdQKEg8HheRvX4REe1bEW8eoR/H47H+lscEfRsKhbRN4XBYP0ciEb1HLBbTvucxyGQy+gwg\nEolou3i+8e9w/WAwkH6/r3/H3Gq1WtJoNLR9+XxerxcRabfbOq6bm5vy05/+VK/d3t4WEZFLly5J\nLpcTEZGXX35Zbt68KSIiX/va12Y2D0REnnzyyamI19eXLl0SEZHV1VV933w+r++bSqUknU6LiEg2\nm9X3wbhMp1Md016vp5+73a4+L5FIyO7urojY+YI1LiJm/HEPvlZkb36xXME14XBYxzoajer8TKfT\nem2/39d17n+uv02dTsfMHazt3d1dlUeY09PpVH/Xbre1nVtbW3Ly5EkR8WQd2tpqtWRpaUlERD79\n6U/PbC78yq/8ylREZG1tTU6fPi0iIs8//7yOPd5ZRCSXy+k8wLoVEZmbmxMRKyeGw6HpR4xnOp3W\n9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FmU7LZh+hksonK5rO/NbnC+J2frisiRIJ0NykrkA1yhUNBxKZVKRqjivTAPmM5AZC+D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\nkUgkEolz4f8BBaB3jnpzhtsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113df0908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(2.26 * 5, 4))\n",
"\n",
"for i in range(5):\n",
" true_face = np.hstack((X_test[i], y_test[i]))\n",
" \n",
" ax = fig.add_subplot(2, 5, i+1)\n",
" ax.axis('off')\n",
" ax.imshow(true_face.reshape(image_shape), cmap=plt.cm.gray)\n",
" \n",
" predicted_face = np.hstack((X_test[i], predicted_bottoms[i]))\n",
" ax = fig.add_subplot(2, 5, i + 6)\n",
" ax.axis('off')\n",
" ax.imshow(predicted_face.reshape(image_shape), cmap=plt.cm.gray)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Recursively generated faces"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"RandomForestRegressor(bootstrap=True, criterion='mse', max_depth=None,\n",
" max_features=32, max_leaf_nodes=None, min_impurity_split=1e-07,\n",
" min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, n_estimators=10, n_jobs=1,\n",
" oob_score=False, random_state=None, verbose=0, warm_start=False)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Train bottom-to-top predictor\n",
"rf2 = RandomForestRegressor(n_estimators=10, max_features=32)\n",
"rf2.fit(y_train, X_train)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"predicted_tops = rf2.predict(y_test)\n",
"generated_tops = rf2.predict(predicted_bottoms)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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4ZTwew/goFAqmalt/u7W1BWWEP3PoPZfL4UyYtZQFkek8sqHMeZ2ckqL7ut1u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pt2xONxcxpQrb/b7RoXJ78DnxKDTrdBZnN9H76e35WtFPyZTfl6imdr1TygVqsZd6Ca3A8ODjA2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bC0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\nJ9R9k8/n3T3FKVgaQkVjlueLjj0rh8xmM5NTw+HQ9nW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PJhMnT7QMS7TUV9yB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\nPvfWFk8YjHkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119eb7e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(2.26 * 5, 8))\n",
"\n",
"for i in range(5):\n",
" true_face = np.hstack((X_test[i], y_test[i]))\n",
" \n",
" ax = fig.add_subplot(4, 5, i+1)\n",
" ax.axis('off')\n",
" ax.imshow(true_face.reshape(image_shape), cmap=plt.cm.gray)\n",
" \n",
" predicted_face = np.hstack((X_test[i], predicted_bottoms[i]))\n",
" ax = fig.add_subplot(4, 5, i + 6)\n",
" ax.axis('off')\n",
" ax.imshow(predicted_face.reshape(image_shape), cmap=plt.cm.gray)\n",
" \n",
" predicted_top = np.hstack((predicted_tops[i], y_test[i]))\n",
" ax = fig.add_subplot(4, 5, i+11)\n",
" ax.axis('off')\n",
" ax.imshow(predicted_top.reshape(image_shape), cmap=plt.cm.gray)\n",
" \n",
" generated_face = np.hstack((generated_tops[i], predicted_bottoms[i]))\n",
" ax = fig.add_subplot(4, 5, i+16)\n",
" ax.axis('off')\n",
" ax.imshow(generated_face.reshape(image_shape), cmap=plt.cm.gray)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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oCKYSR6VFfzN7t07n83lWb5bcbWbXjNY3N3Q+j3Mqqm3K7JyMWeGBRViHBwvv\nrX8JSdLRzn6iovqhUiCXIkWKFHkkcq8auoSUo263m5VzomlOp4LXqLxjRcITn44YmlqSWq2WJbeS\nI3Q8HtuLFy/MzELz2iyvUag2r9frLJG+5ODgYMey6Pf7WVgx6Xk8rXnis4SXv1bPN9uFahi1ehd8\nZY1f5EzSZ2pnhIMiuEbC70gtNMvr00bFJ/gdzWZqxhGcRXOclhfrskrrXq1WO/n7fblEFs4gxzrS\nROmsp3ZMTVORiKyBuVgsPjiJ0/sIM1AyipLf0+nJ8aG2bpbDrPye78p1TquOFinHlWt7X3oEP68I\nR9JBz3QZ5+fnqZ8ldL4Ph8OMtkznMT/7dBL7yvTRycoEcv437yMPsqGb5UR/4Vij0Sh1KvFvbg40\n3aOQdm/CETP1gTl+cWpDZ9g3D58IazV7x3jh5GSaAAYLEIYgdspNmoPLTdzDE9zMfOY7QQTj8Tht\nuMzCeJtCPNEXfFB7Ir48TdCImeDZJ1G/cIxZP5b+kog3zmfz+VzsnC8MgIpweC12ppPgIcQNysNn\n35eHhaY535sFh9mO2xS16+rqKuUoqdVqiRnCOcy5xQOcfhQPh+p+kXBDZDAf14n8XIStGGhGTJ5z\nSt/RN9LpdNImPh6PkxIkiJRQIecGWVSES6lUcb/xwUb6e7TO2U/vKwVyKVKkSJFHIveqoVOronYh\ns5UlybrdbnaqUrsx2+UU63uyWfiZTBJqR9Jqx+NxahNzo3uOuz916/V6ijC9vr5O9+PpT5OQRT6Y\nEZFc8X0MAGonvh+Xy2V69mg0ylITkB98F05RaqyK6D08PMxYEvt45v6z5817TU/PoXNa4yrNke/M\nUng+RiFyrBKSIdwV8Zzr9XqWIEr/cn5xXvo5rP7gNZKIV86UB9Ti9sGPP1V0T6YZGA6HaZ5NJpMM\nUlGbIzaHh1uiSNFoPMzycaW27llr+swx9pbXer1OViSdvWRfHR8fJ0aYUhicnp5mTB4KYwbYH5qX\nUeoQauV0phL+Y7LC95V73dCZyY6bE1kSmizffvttlsLSU/Y8JhcxP3hvLnyyXbTxTafTtDH3+/29\nGLk3bRmA0m6304bGtKBkmjCwSGYdg5qY28IHpfh0A3wn0uXM8hqKNPnu0jTnZjybzdL7DQaDLK8L\nA3Z8v3DT9Ti82u4XtsZQz+MBSmoa4RcG90T9wmd/Hz6tdmjc6RtRW8xilpLEz10ezkxr4dMT633J\nrLlNIXNw6wKiAAAgAElEQVREwXPM5OkZWRT1f8T68H3B9cjgPkEqohSORqOspq+eQZ8EA+wI03no\nRd+xSAYD9zSeqjrEtBEHBwchNdIrK9zo/bVUcnxgmObPer3+4HTXBXIpUqRIkUciD6Khm1l2suvU\nohODjgfW1qTDU8KTmE4kOiZolvIElznHEm4Un4jH85j598FgkBL3k4fO05pmKVMXUAjVRKYpNR06\n68iMiEw73vsuhGHqNDlZR9TsnZbS7/d3shySmURNzjvJCNnRSpGQLRWZ4Oy7iFHBfuLz6BxjRj1q\n6rIYWAKN4+OhJs+j53dm+ZwnK0uwAJ3Atyl6Dyaxevv2bXonlo5cLBZZwj06ys3yeA32G/uea3Q0\nGqUycAz4k/gUBBxjzhlvAdbr9awWa+SoJademvpXX32V5tmLFy8y8kYEJfv5pfbwM8eMVrT69+rq\n6oPjCx4ksIhUrO9LERlFk0aDxWsjrFOffY0/wh7Pnj3LJkgUqMTnEB/mhk56F3FfQhG6jyaFfwa9\n5hHVi23htfQXRF7zu9rMOTY8qFnQhN9r4+JBzQ06OrC8Kc1Dm+l7zXaLMEjYL1xMXgnwbWb0KllI\nbIf8QNyMmW9I1+vffRua2kbGDuetvudi95GStyVq+3Q6TZ9ns1mCXzabd2lwfcCOX4+EU3yeJvpA\n5EO7vLzc6ZfvY9VwnhDO9Tg2x5pzipGg7XY7g3PMtnCe5sx0Ok1r9/T0NIPYCNX6w55QIdcBlVrO\nOz9/3kcK5FKkSJEij0QepARdVVVZ8QBqVjRto8x9kcZGNgTNNq8xShtnWSnxTJmTZbVahTxZmkm8\nlpqCTu6vvvoq45nrmXTO6HdkuVDz8Ga6dzwxsx8ZEMwTQw2PPN7bFKZBYLEP9YXP40FN1McGUHP2\n2fcITeiZ19fXCXoglEOGBvsw4p5Tq2P2RPYhWRKy8AhlsXgLS+JFVhGDjKJ3p9bqg84kdJz6FAO3\nJWp7q9XKON+aqyyXyDm3WCx2MmAybxItm9lslmCNy8vLrG99jh7GHDCIh+ufRIHRaLSzXrmOvMbM\nOeqFFv5oNMq0aO1lzPNDxksUN8L5NRqNMsevf+8PkQcJLGIN0E6nkzp9PB5nkzvCFLXZMREWFzsX\nJweMORdYcUX3eP36dTbhOJlprrFNZrkpWavV0gExGAzS/a6vr0NvNScOJ6rER54xQs8sZ0Awv4SH\nWdS+p0+f3klgERksZAqxIC6LcTMtqn5LDDTajFerVfauopPd3NxktUTNtn3FA5QpUHVv5v+YTqc7\nOC37e7nMCzLw3r4e6Hg8DjfXfbg4YbUoQthHC+vejHJkMNNtyh//+Eczy+m4bKcvKsOx0hgzNTAD\nBVnUg3RBRo3req2dV69eJdYJU203m80EeXnml+5HuJfrSH9nGl2+K6nFCjY8ODjIfCP0jzEy2M+p\n1WqVUTD1eTwepw2d95hMJll1r/eRArkUKVKkyCORe9XQac5GbJX1eh2G+0ch695hSIcLw2/1TDIB\nqBXqNGcoNfnr1CyotUWc4YuLi6xoBaEF762mt51aOZkRhBwiLW0fzMI8H7RMfijM/MeKnkXHEq2L\nqqqSWc1rCImRheBNVb2z3vvm5ibT5LwDjg5icpR9eoEoBUTkWGYcASGjqqoy9o5ZzrPnvN3Hj6aD\nMLIIOBc9zBKlOrhNYb1UtZFh/cvluxTJnuXi4QsPI0U8f1+SMAq40riTdLBer1Nbh8Nhstgmk8kO\nfDGfz7O1Qe2ZAUDeCmm1WhmsozYtFovMgcr9wcObtA48USBK4cG8NO8rRUMvUqRIkUciDxL6z9zj\n5C4z77R3iPncwvqtvzdzJhND56nLKEomsZK2tVwu0z3IlTbLc0Tr/zrxz8/PMw2dWf7oLNTzqCGy\nP6i1RlGepG5Su6PGRk1A4rHg2xK902QySVGE1CapiTOBv8cfdS9Sv+gX0FhNJpNQE2JkHnFSzplI\n44m0ZGqUs9ksm4ucU5onmlM+nDyKYKTm/kOUXfpDqL1Rq7urSFFh13yPer2e4fjE/SN6LHPUcw1E\nYzyfzzMfmbc66B+7uLjIkq7pmVdXV1lMgx9vbzmzSAbz9KsdUWlItmPf+1JbjxzcHD86S2ltRZHp\nPyQPsqHP5/NsokdsAZ9K0wcF+ftyA9PCp1kW8dCZlfDy8jKZbdx0bm5usjBmDpiep98xqGQ+n2fp\nNiVR+/0EZ3BVBCURUqKpxg2I4eJs611s6OpjOgS5qXJMmBnP522R0NQmDEH4jBuJDmIyiPSeo9Eo\nHbK9Xi9LbyupqirNiaj9ZBcx8Imi+enbRrYHA8kiJ2aUDsOPMdvEefB96Ql+rBAmjOqXLpfL7J0i\nBz5hDL6zDxQ0y/uIgYUSwj2ETjynO0rBzWdwntAZqrE6PDzcyYooZ7+EKR2o3LF9fr1yQ+ea8OMq\nIaT1vlIglyJFihR5JHKvGjrpaOR5RyHRPO0Wi8UO5OK5pxE9cR9sQ1hE2vXbt2+TpkceOsU7Msy2\nWow+kwPPaD9qMqRDSqiZ6D58V4nnSlMT91o5tYbITL9N4diobXTuzmazrFQZHZr+HjRnfUEAOtqi\nGqyKMpzNZgn66fV6aV6RC02nG/uOPGGNw2QySZ8PDg4yKh6dpbov5znfj/UyGa0oofbGuU2aKmuX\nUiO+C8uLJdekofv0A4RZOD+Z0dAsjzGheCstKnhCbVh9SArg+fl5BrMyOlQOUuZAj2oEEz66vr5O\nz2cZSb4LLQvGD+yznvVvFC9DOFF/0/UfGl/wILlciMNxgnBickNnrgZij5H334cgM/8JixCYbTd2\nmdqz2SxtCJPJJOOkszKMD1QgPs4Fp7/pd1oQzO8SHUg0n4mbE7sltEKzM8LkfPDOXdSe1NgQWqqq\nKiuOS5glyqESbXZMV0xh31VVlXGMzczevHmTDufhcJjaRfOV9UXn8/lO+gD6X+jvWC6XiXuudzB7\nt6jb7XaaO9yMObfb7XY2Jp6H7uEztYl8+X2KxG0KcWI9l233MKDaw4A4MoLIguH6ioLHIqnVaime\nYTqdpjHjPTiuk8kktZt4e5RVtd/vZ2Ov+2ndcu1zLD3rh4fd9zHiPHtpH4TzoXEjBXIpUqRIkUci\n96qhk1+pU8jnFY7C9lut1k6EJq+lKefDuyX1el4OzGwbzSlNrlarJa2B/G79X+3Xb6ntRZke+T3D\npSOOuVmebY1aH09573mn9kaNjZ5ymorL5fKD8yt/iDBLHVkik8kks5oi59i+KMrIBPdpBTyDqFar\npayX5+fnScuiRsYI5c1mkyVNM8ujVOlc87nrJRxfsniokVFT+75c2Zx/LORAK4zaMdlOtylknLEw\nC9cd+fIce/5W3zEsXkJ2Cf9G5or6qt1upwyPJDTQiqZmTNiT1+oe3W43S+nARF2aM9TmyT1nxk0S\nJaLMilHULy1xHxlMYsiHaugPsqHvazQXOzcwbqRRSDs/e7ON33uztN/v28nJiZltF44mhTcro/Ss\nXGTcGBgSzPBnTRBi6TQ7I8iIpis3mAiq8eyDfeb7XWDontKlfzl5yXqgGew3dKZSYBY7blg8TA8O\nDtLmzSAQLbiLi4sUVs0+Z2oGXy/SbLuJEyunyU46qv+d9wNJuBmTacF3idgQHtYg5Y4bwl3kctHh\nz8AiHliE8ygMxCJMoffg+iKUyL2A2Lr+3u/3M4rzZ599ZmbblAGEHgkV+Q1dvzXL9w0WOO90Omm9\nCoPnQc415HMM7cPT9R7cA/f5H4jVfyiUViCXIkWKFHkk8iAaOk9LM8s0Up5q1HB8mDyT99DJYhYn\n1fdOCN1DJ/HJycnOiWq21dyjxFlRBj/mUWYwEgMcqB1IqOmMRqOkpfjAFG8peIiK2gGhmMjauE2h\nQ0dCdk273c7Gj+PgoQKyQSJLS8/R/brdboJfpFESqmk2m5n2ps+8NznSnIt8F0J9tCp8QBIzAtIy\noYaq+5jlSeaifuHv+NkHid2Fhu6hEf0bBfcRbmA4fJRKQdfre7Wdlgufw3XOGgnqZ2ro+3j70XrQ\nM82284jZUVkmkdepHWTSEEqTUAOPYJZ964BaPJ//vvIggUWRSWaWsyFoinLhcDOmGc+O5wLxnmY+\nk5AFs6nVarWdlKx6DgdEv4sKWXiM3D/bU5V80JPax0INHnbyDJbowOEzadrdptBkjtLTeuYO2+Vp\nf9wwV6tVdj++B8fVY608ZDudTvbOTG0bVVfi4aznMeudh0iELWvcaJoTJuPc1t/UNz7XDMfpfcb4\nrmiLhEUi/N9HL/txoHAN+3eI/ChUxnh9hFfzwGXuJUIgjOjlXIwok1550HuzX/R/Uik5L6lAsu+i\nsfTsl4jp975SIJciRYoUeSTyIIFFUSYys1xbYYi4D5nVPSL4gho62QsUsiGik7HX62UaVORp9hCK\nnk3HXBQcIel2uzthvnovesfpgPPiQ42j7/V/s5xbfZtCjnIU+DWdThOzgI6oKKOeTwURBWIwSx55\n9cwIqHYcHh6mZ08mkzRe3W43fSZHWho8NXufD4d9ztJsZtugFAZRRaXw+N4+hkJ9RCuFmhznNq3c\nu+ChSziWy+UywZv83js0vTWpNuse3jIzy7Oj0inK+cvcK9T4Cdt4aFW/9c/zlkeUM535d8jYIeTK\ndyQLyVsk3toiq4ntjIIu31eKhl6kSJEij0QexClKvGq9fpdtkc48YlMee9J3UdQoT2j/TO/g4AlN\n2iK1n8FgkGlTxPD1LzU4Ol+i6EhqINR0yHP2EaF8b7ZfbdK1kQOYeB8TR92mKH3CYDAINReOKy0h\naj20mnxSI/8e0+k0S6QmYdwCsXCmfFCb+v1+WHBYvONGo5FpWMRa6QTm/NF3pK5SKyXmzblBzVzX\nEqOllhY5Z70j7bYkohZPp9NE76Pjf7VaZY5Q7ywmBZXzU//XPejY9o5Vhvv79Ba6B9erx7TNclos\n+f5VVWVUUu8H4O+YMoAOf5ZgjBzgnmqqa2g5c7x/jF/kXjd0loPSi/s0mZyYUdh05ME2ywM7uDEz\n5aquIf+YDlIuSk4ibjYS/b2qqgzWISREuMTnZ+FmwIXPNAfsA18UQW1giD8XOCcOc5LchSg4a7FY\npIVbq9US1GH2buwHg0EGjUjIiOGYsL/o7I6gNEIdnBt0mNEJzkIn0f3orKRJr34mrKb78pDi9+v1\negd28feQ+NiGiOeve+rfu97QmZsl2nz8geWhPUKXdJKzyAzhpel0muZVxCpiH0+n02ztyoG92WzS\nnCeMQagjCkIysyxQSe3k/sHNPWLVETaT+M2arD+u14jV875SIJciRYoUeSTyIBq6P6l0qlE7Wy6X\nGTwh4e+igrJeM+DpT36w2sP7Ucvi6SrthPxmwhjSxEnH5PNYaDqCiQgzMNmU57jy5NZ3UeSZP/Hp\n4L0LYdup6crBWK/Xk6bkHdzMnqd3oyYnoQnc6XSS9j+dTrMUC2Z5Ggf932w7jronC1S32+1Mg9Pz\nNAeOjo4yLZm0N31mWgaOSUQ7pbVB3jr7zlPeJBGv/a409MjiI5GA/H3GOESZFT1VmXM1msNMU0Gr\nnFCa+rbT6WROWFoQmoNcO7SUOP9okfi4F9I190WH0rFKS2BfLIzej2vUQz0f6ux+kGyLTBfrvdmR\nx5jmjjpsuVyGA018i3AOF5GezXBszwvl82iaM9+LWZ4qtKqqDGOnueZxYY+nRawAsiQIqbCdUf4W\nTpDVapUORh+MclvC55KjTFhNk3cymaRFxrS6hNR4KDL8PGJ1dLvdHVYDg5N8gQDmcuFi9woBzX+2\nj5xn9r+Ev+MmwaAzz1Dxc4PwBA9+HyLOPrsL9lLEtOn1egnHHg6HGVuF4+1jMPiehDEJdTDsfblc\nJsiF6YP1u16vl/kqyDrjvuED/bgPcPP3uL9nxdDvx3c1y4OPoqyUnA/Mb8RUyJonDPenove+UiCX\nIkWKFHkkcq8aOs0KatRMUkWt6PvC1Hn6ei6v8pr7WqDeNJ9Op5lGzdOaCfF5SvvIQJ+QJ2KREGag\nlsKMkzT3aBJGfUOtPOLi0kSuqipp6NRCblOiiL52u500ucPDw/Q3lvTjGEZmK2E3X9JLn9vt9o42\nyGRb1Bap2VNDMrPMotG1UfSqd5iztJ7ZbgEFmv9sHx2/HnKhM9hrjhz7aB7fptBSYt8zHoDvRcvF\np2/wcRKMNyHswZoEZKDod7KqeE/Cm3RS1mq1NBYM69e439zcpOex/7jWdN9+v5/ehekDiB54Zle0\n5rl/RGw2Lx9qUd/rhq5wep92lJtxFFbMDZamlQaXHmMyHFjjkhuofldVVepgmoG+FilrVtI8VNs0\nKTxNiu33+WA4+NzEiQ2S2RJBLqzORDOQKQ0mk0kGudzFwo/wXk5oz1xSf3a73dT/Gl/2fa1WS3la\nuHmORqNscXGTM8sXGeGUTqeTbToaN2a75MbN96NZzfckvdVsC0Nwg4pgIFL4uOkT/ovSRHND95Dd\nXRzUhPv0XPoh6GfguBE24/xlelpCNWSoiTbabDZTPhVRVDVvdF+uBykPHvLyc5NVtUajUQaREL9n\noWmzbb4YBp/pc5TmwCxfg6QnsloaK49FaXxL6H+RIkWKfMRyrxq6TtjBYJBpZMxDThODgSKebN9o\nNNIpyUxpZDccHBxkHGydjhGvt6qqpA2u1+ukFei3eqaEPFVqCtSs6OBhW9UHYmowoRB5zD6hkw8V\n9pqv2kSTkAUSmCzqLoT3JoRFHjfLvY1Go6SdkbNOrjhrQuo9WIF9vV6neaW86KvVKmORRE5bhv6T\nTRRpuh4K1GdaVnSwRnCC3kffM5iOTj/1HeeRxtVbW3cdWKT7E8aYz+cZFMX5SQiRBAizfM2R9cV1\n3Ol00hpkuT3CchHDhs/xwT3sL7PtGiAKQHIGE7rJOtCzh8NhGj+2n4w4z7X3FupoNMosfEJ+++IL\nPlTudUOXVFWVFnBVVZlZxo6KPOHqpH6/ny0QfU/WDLHK09PT1IE03STcdJkxj5t0VCSDwUtsP2lO\npMjJND84OEifueg9Y0dClgA3RwkLHS+XyyznBTG8u5AoI6LvN+bj0PWXl5c7uVzYFz5Qg3RObn6s\nKmOWm9o+MCPKzdFqtXbwWrJjCG8wgrHVamXRvv6+Pp0w4R5uAn7T4SHEoiSTySSLfCZ8dhdpkQkX\nMZCO70SIimtQ3xMqJRwZMVTYR2TCsd+kaHGOV1WVQSo8LHhA6F6aL5xTVEbm8/lONOzh4WGYSZXv\n2ul0Uvs4HlJgCA9Op9MsWyxZTezfD5UCuRQpUqTII5F71dB14ozH43RKtlqtdHqu1+t0MlJjJmuD\nZg81CGpU+wIO6CjTv5eXl+nafV56Oktohuo7tZkJ+n2Yt0/W3+l0Mi2FWh1hJQnNapqdzB1DGEgw\nEZkddLjcpkRwBDn75NleXV3Z06dP0/Xqc9Z71XtPp9PM+UQHHJkM+l4WD+/r700NkJYhywVKyHqi\nBkV4zNep5bj74DH2EcfS1zMlXDWfz5PWxyAqbxXdhfVFooFPO6F2RgGCzJsUwTA+/0nkcKbVRFgu\nisFYr9eZ5RBZYWp/v99Plpy33pjnR2tTUBpzxDAYjE5t7wj1Vg01dMIzPl9PlPPnfeVBknM1Go20\n4RwdHWULh6ZalCOBxQOIVXJhMZgjggO0eGWOmW0HjjibhDALMS9u8lEqXbVFz+UkUxv2ba6caGrT\ndDrdqY+4WCxSP15fX2fMD/Y1TfMfg8t9iHBM9H7fffdd5jNhfg2Zo9xIuYlHfeTxWMIv+jeCe7hw\n/Abog86oAPiDkFRSXxTBp46NFiQ3YNIxiTdrro1GowwijAKSGFR2F8LNx7ed7002ji/awfXKzZgQ\niQ/6ISRmtu334+PjdD/NcfrKSCPexxLhZuwhP4nmq69cpN97n55ZTh/lO3JDjxhSvA/by/a9rxTI\npUiRIkUeiTxIgQufz0PaGdNIdrvdEF6hA4KQTMQfZqpPmoERLEAhf5jMGzrjKNS+I+cUCyFEAS96\npoTsBWrl3nHHQAXmEIm0Pr23tyJuQxhII6EpOhqNkqYzHA4zrcczjwhZrNfrpM3TcUS4hH3Lvid8\nwfGhRhXBFz7ARP9Sq4vSVki8NUnNloEwHCtfJpHOv+vr68zaotXK8PS71tBpuVATj+ANMnMEgxFa\nYmlF73CO8vHQsao+7Pf7WTAYxy0KxCJ8xGcQkuG7eHjWQ6EM8qNWrjZNp9MsX42updUXQZWeeVN4\n6EWKFCnykcqDOEU9phtlPOPpb5aH/5ptTztpp9S8SLGikMvuv1ebmMDHl6Ayy7V1OkfJASZnlm1i\nNJxZ7uSjlsJn05Lxyfj1nTRY8tB1H/Wp9z/ctkiT8pz8iL739OnThIOu12t79epVehezbUQerQr6\nBUhvo/OcSdDMchx7vX6XO52aPbnVPoe5v4fXyqnJeYyzVqtlc4COdvLhqZV73jELeHjet2+jfncX\ntMVoLNlvDP331l/UZlL2SEmkxca56tcxtWvi99R2PYnBp3TYR5P0GrrGMPLB+QhUZoWkRSDrU9Lr\n9TJrROLprSRcfKjc64bOwadEDA+mgKUw0T7Tou4Ll/XOLj7PBxPQ2848MTS1dE0UyMFN3LeZ92a7\nvPjKQ5HzjIEK3NzJUWbgSvT9bQrfKZqEhJe63W42qb1T6urqKmS2kE1EWIb347+8rzd9vXBjZmwD\n2xHNIw/nmOVzigFVfiyj78kEYmwDD/soRJyb/m0Kc8zw0IlyKDH1RKPRyGIC9HfCgPs43ZJoLXlG\nTJQNkuufz+QakHgYhbEEfp1wv6nX6xl8pI2bMQOLxcLevn1rZmZPnjwxsy2XXX8Xu07tlEQFTz5E\nCuRSpEiRIo9E7lVDJ4WJGkpUO5MRdGaWheXrdxKWeOM1dDCs1+tM45IwQpH0SQk1KH/6m+X0NprV\nZrYDs/DevngF3yuCXDzn3GyrodMhsy/To6Ap5g6/TYnGhBzler2etVna23K53BnXyWSSNBtqyWw3\nLahms5k57PQv+yLKV6926V+fb7/VaoUOdWqJfHZk+bDNdNCxej0deowopOYbQUOEJPZZHrcl1IbN\nLEuK5xNQqZ2koeparnMmoPP0RD6XQq2dDmeuJUbZsu/8vfU7T7bQtb6QjVlc2GQ8HmeFKmi5K/mb\nIEYSPQ4ODrL5EEE7P0YeJPR/vX6XobDRaKSXJGeaZqnZu0UZMWXodebmSQhgtVpl/GGzfJB9fg0G\nikQbb+SlZ5s4UXVPPttDQzTHiTVy0WrBawJxg+Kio8nGw3Mfr/unCv0K3FyYilbtfPXqVQosYntY\n9UlZOcmI8UFdZCGQtSBh3xLGiwoT+M1B/7I2JXnVEbechzrfnwwHfWY7OD4seMD78NAg/hv5TG5T\n1D/Efs1iPxE3JcaCcBPktfIReDiL8Ks/ZHkPCjdYrgNy0inRZh2lAda9+a/ar7V4dXWVBThJuG8w\nfoUQj+bXYDAIi3z4e76PFMilSJEiRR6JPEikKLWV0WiUNGeGbjNbIU2jKIH8fD7PmBPUvGgSem62\nh16oVUQRZNRuI6cbT2WvJUfacwQRkLnCyDMm/KdpLmHWOnr9WWF9uVzeiYZOx9O+bHh67sXFRbK2\nTk5Odsak1Wol7e3Vq1d2dHRkZlutkHnzmTKAzCH9SweWh4J0D37nndXsT29tkYXgNThqzoQNyUJi\nJkGOK+c4M05GUCHZO6wBcJtyenpqZvkcp6ZKy3gymWRz3zsjfRoLZjCNGB/Mu044a58Ddd94e4aX\nt1JpeTClg2ce0cpk/AdrLhCq4XiQ7RLtJ91uN8FYzWYzoRc/Js/9vW7oNI39gEtIR2OGRV0n7zAL\nF4zH4x2oxSzf2Mi04MLnZGHmPA4kWQj7QoXNdtOeEp/zDB9vgnKz1obG0H5uCEzmTxNVfcAQY5rF\nZAPcpnDSEc9mGgdl1xyNRgkj7/f7O7lODg8P7eTkxMzMXr9+naVQ1YFP6CEqNkCaocdX6VOJFleU\n9Y4QDw9IbnScz0x3y3Fl2mBSULU5eIqsf1duigzU2QcD/VThmHHNECYjfsyxZxCVWb4hsu89HMEx\n9FWPzHI2EdN9cB3vY3jpWs45Bg4R2mG7zfL+5hqdTqfZ+Gj/ur6+Tu9LJlqUTZL91O12E8z47bff\nZkrb+0iBXIoUKVLkkci9auh0skh8GTUJWQbU1nWiHx4eZpxwfU/Ygw4nco2pYdD5STOeAUzRyb3P\nORMFVFDL54nPbGwys6bTaZaYiQFV0vCo6XjHrt6PGlKUxe82hZplBPv48muvX782sy0LgDCb2XZu\nUDPU+L19+zZdS4eZ19b1bLYtSsa0j/NM52iUSZBzkRYP+cesG0mtXEm2fJ1XZiFUH0apBijkwKtf\nb1uYWkDtYSZCxkxQc/cBZvpO4mEEbw3pfry3riO8Flmbnl1Fbd1s10rzydXMcuiQOddljdzc3KTP\nUYoCXS8hbBolImP/knhxcHDwwQymB9nQh8NhZnLJxOBG3+v10vfn5+dpw5MwsnO9fldTsN1uZ9F5\nTN/phQV6ffZDTiIu7AiDlXBjIF7t2RX6ToN1c3OT5YDghr6PvaP2RHlDWKB537vfpkQBGd1uN8ND\nucg0zqPRKG1EpObpu+FwmOWtefPmzc6z6TOJDufVapWZ1WSJSCLIyGdmpL8mggJpXsscn0wmaRPn\n4cw8H2wLYR+2mawMQoH8/i7HuNfrpU2r1+tla0PtYfAc8fQI26efgfAL/Ue12rsCz5ovfEcPpUUM\np0iRoj+EY+wDvDhWZvmGPplM0j0Gg0Hap5jyl3sLN3TBicwE66m0XN8fGgFcIJciRYoUeSRyrxq6\nTtp+v58FydAMpplO08ifdj7ohvAFtRtdc3Nzs2MeU9ugZm9mmbeaLIQoiyEtAv6OGh7Dg/UduacM\nVJBWQLOa5mNkHdAjzlqk1GD3/fanisaVjh4fIi9n9nw+zzJcsnarWc5o6Ha7Ga9f/fXdd9+layIu\nf8/SEwsAACAASURBVK/XC5kRXvMl1Oc5z8xZQo2S8RHk3dPJeXV1ZWZb7S6KGfBwnH92u93OICVq\nnOQxU+4i9F8MI/YbISC2gdbUvsCcCLpkig9vIZPVZLa1oqO0EX4t0or2/UTLme0wsyw2gDnM9S8z\ng5IRwz2EFsvLly/NbOvc9P3YarXS3Oh0OplzOEqL8L7yIMm5CB8wJSaZGhwwwi9K5kQMjaZJVVXh\nc5iSlPTJyHvvoRVS8TRBowhGHix+w1D7NClYdUftNstNc5plzKFBodlG80zXslDIXSx6s3cT0Af5\naPz4TtzAarVaNqnVRo4fDynmLhH8woORB3WU98Vj65R9uVr0OwYIkb3ksdbJZJJt4sTbfc4ZPY9j\n5fuR77XZbLIDiYyKu4BcGIjHBGzsO33f6XRC+h6hrygnDRWf6+vrrFg454SupWIX4d+kQVIhihhN\nnt5LiqmfU4TJCC16No6g4aqq7JNPPjGzd4GAp6enqVKbP+ikFM3n8+wQ+dDcSwVyKVKkSJFHIrW7\n0tqKFClSpMj9StHQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQ\nixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQp\nUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSRSNnQixQpUuSR\nSNnQixQpUuSRyIeVlP6J8i//8i8bM7ODg4NU0fv09NSGw6GZbaueq5J5r9dLFc47nU6q8K0K241G\nI1XE5ud6vZ5VcNf1rEKvSt+r1Sp9V6vVskrfqmDOauFRZfXVapVVgVeN1kajkdq/WCxSO/RsVhbX\nffw95vO5jUYjM8urnOvaqqpShfD5fJ6qi9/c3Njr16/NzOzNmzfpmtFoZG/evDEzs//4j/+4tTLx\n//qv/7oxMzs+PrZnz56ZmVm/309j2Ww2U7Xzbrebxr7ZbKY+UiV2vaO+0/f1ej39jddEY8JK6az8\nvlwus4rwHHtez3/N3vW3v4aV7DUHptNp+rxardI8Wq1W2biqOjzHezabmdl2juge4/E4zYHLy8v0\nu/F4nO69WCzSeP/7v//7rY1rkZ+fFA29SJEiRR6J3KuGTm1GWhq1puVymTRYai6RdrpPS6vVaknr\nazab6Tpeo++kuel51Nh4ja6jRqZrvZYv6XQ6maVArVHf6Rnr9TppW+v1Or13vV7PtDd9Zh/pM39H\nrZR9ttlsdtpxGyJLo9lsZtqrhGNJS4lt1Gc/TlEf1mq17H787J9BTbvRaGR9J6F1xnHXtfzM53hL\nwCwfd7ajqqrsd5z/0sx1v/l8HloBq9UqXcPxrtVq1u/3rUiRe93QuSFxksq8rNVq4Qa1Wq3SgiN0\noXtw4/PQCk12D7k0Go1wE+TC56HgNwH9XcJnsB06YPg7vZdZfmA1Go3UH+v1Ov2WGwphHYnf0PW3\nZrOZbZZ8h9sSbp6Cd5rNZno/vn/0O7N8Q+cmHvU5r+Fvo/v6ayXr9Tq8B+eR71/+XRL9n9/pc7vd\nTvdYLBYJjprP5zuQzmKxCO/BdjQajXD+F/m4pUAuRYoUKfJI5F41dGpSdExSQyc8QJNX11DjplZC\nTZb3o/ZIk923ablcJu2fWjlhhGazmWnKuq+EGuV6vc40+8ghG1ksNO8JQVEIWVCzjayRXq+XOeC8\nNngboufO5/P0udvtJhip0+mEzki+C+8Vaetmls2HCEqLtPnoO90jss54vdf8/d/9u/i2meUQIaE0\nWi/U3HUtrZSov/xaiqyQIh+f3OuGHmGg3NC5ma1WqwxjJo5ttsUkdT8uCpq8PAi4GUeLlxs+GSq8\nzpvh/u98Ry6yzWaTMWHMtouX0ApZNfrsN3RdL/iJ78rNxcNH3v9w20L4jJuT2mv2rs9/aPPxPoRo\nY/Mbvd+8vQ+Bh2n0bN4vYizxsOR4RCwXjiXfmwe4P4Q0PuyvyOfTbDYT3s73jQ79Ih+nFMilSJEi\nRR6J3KuGTvaJhJqQ9+iTpy04REJNbrFYZDAFtTM9q9lspntEsE29Xk+aFWEW3VNt5fP9d/w/tXLf\nVr0fP1OzJb+Y1oTX8Hx72AcSQhi0dG5Tonvynb3WTXjJCzXWWq2Wxs9bF7Q6dA2fIfEwXiT7tH3O\nB8lyucy0eTrxzXInp4dL2HaOFee87rUPauPcZZsiy7HIxyf3uqGLWkVYgVg5hSaqfqPv9f+IEWOW\nU88YuKINnd9xM4gOgujZFC4mbpjL5TLbsHU4qc1VVWUbPhc4IRduHoSEeC/2md6LWGtExbtNIZTG\nDXEfvh3BGuo3smP4Tp4dxE3aM47q9XqiBfJ7jnFEQ2Q7echSyEBZLpdpXPVOs9ksg88inxD9PDzA\np9OpmW3nBu8brQPPerorOK3Iz0sK5FKkSJEij0TuVUOX9Hq9zHEk8cEw1EL0OeJ/U6v1Gn+UHkCa\nerfbDTnitVotaXjUcCPIxTvJqGmLkz2bzZL2JZlOp8nB1Wq1ksZGuIROPEJJZIHoHtTkaJrzvVqt\n1p1ALpH27WMNGHzE/vSceo5HVVWZRq0xpmPQzBKnmykFGCik7z38QdjMQxbL5TJ0qBMqW6/XNh6P\nzewdlDafz9O4U/v2gUrU8gmx6R7U0CNoju+zz8ot8vHJvW7o3HQjpgkXvsePvalJ3JwLnFF/i8Ui\nM70l+u7g4CDBQO12O2PNRDljogAOH+nKfDDaxEejUaIOSqqqSn+v1WoZDKH35gZMWIYYrdpGLNbD\nNhHd7y5ktVqlDZmbDA+39Xqd9adnHplZBk+REqlcNdzo2+229Xo9M7P0b7/fzw5t3Y+HhQ9c88FP\n0+k0DNxZrVapHev12i4vL1Ob1E5CJ/qe8Fmj0cjy3ERzips87+0PfLM4n02Rj1MK5FKkSJEij0Qe\nBHIZj8dJI6I2MpvNkgnr825QCzbL2QSz2SxzCkkjm81mmfYirU2a3MHBQcr02Ol0ktY0GAwyDY9a\nred0z2azTBOVdjYej5MmNx6PM83dbKsBSvOaTqeZtqVn02poNpsZnKFr9X7tdjtprewPz2WPoK6f\nKtRuCQvpudR2J5NJZgl5Z958Pk8W12w2yzR08u/5PF2jcR0Oh+nz4eFhet5gMAi57N7JamZ2fX2d\nacP6fjKZ2MXFhZlt+1IauuYtobSqqjLrUf3UbreTldjtdjNrwz/Prw/e7y7gsyI/b7nXDV2b4WKx\nyPC/6+trM7MdnDnCMCOYZTweZyZ9FOiyXC7Thq2FMxwOM8iFKV517XA4zDZYv6F7rFwL++bmJm3o\ns9ksY0GozdGGt16vM3OcbBVPo2u32xkUQDYHISqmZfX0z9sQsmh4gEapYwm5cGNWitjRaJSNMX0Z\nhOwk3PTPz8/NbNs/R0dHZraFX7ihe6aT2h9BLpqP7MPLy8v0nPF4nG3k+o4wi8a12WymcWUK4Var\nlfqPWL++I8zClMue5VVglyJmBXIpUqRIkUcjD6KhV1WVzFZm6KOziyHr5K1Tw6XJSeYBr6WW5YtM\nHBwc2MnJiZltTXNpOYRzWq1W5sSTUOOUJj6ZTJLzczQaZRCB2sR35WcJA298yljPoWbgFR2yFJ/1\ncV/mw58i1HqZApbwjsaNxUpopagP6WRerVbZPOG9yAoSbEYIReMwnU7TO08mk/S51+vZYDBIbeIz\ndS0hMUEr5+fn9urVKzPLYRnNMxa4aDabCfphzIParfeiI1ltYMoAwoxRSt/NZnMnlleRn58UDb1I\nkSJFHoncq4ZObUYaDeltxAGbzWYW9u2jNVutVuYQ9PRHs63mK9ySkZn6++XlZbpHv98PIy1brVbC\nNgeDQXqO2j+bzbJMj1dXV2a21T6pxUvbI8buQ771bG9JmG21de8EYztJd6yqKj2HGnGn07kTDZ2a\nJbFfYrzEvxnp6tvT6XSycaJ2qs+Xl5dJ4yc1Vfc6OjrK+O3UgNWO6+vrhLOfnp7uON2rqkrXnp+f\n29u3b81sO+7MvukjWT1PXM8eDodpLpKOGoXzk+vuU2OQz89nl9D/Imb3vKHTocMNk45L5kKh49EH\nk3Q6nZDnzEU7mUzC8HrW+tRCpcOTjBJy0pkSlzAMGTt6x9VqlTZVMjd4EEQbITduQi5RpaF9qQsa\njUYy9XlY3FXwid7t+Pg4O6Q0xoRImEaW/Hu1Xc5Rs9135rhyLjFdstl2w1fft1qt1Bfr9Tpt/uPx\nOIOB1G79rqqqdDh//fXX6fvNZpPGcLFY7OSlOTg4yKCaSNHodDrZu/lYiV6vlzGk9LvFYpE5uPW7\nqqpK6H8RMyuQS5EiRYo8GnmQ5FzL5TJpIN9XLkya183NTdKWpNlQO1oul6nqObnDVVUlrfTk5GSn\nJBpDxC8vLxNt8fLyMqOY6fvFYpF+S06xhLzx6XSa0TGleTK8m/Q8vTeds+TGR9S6Xq+3kyfebKsl\nkgLKmpV3oaXTIR1FftLyYgZC8r81vtfX16kPr6+vE0Xw8vIyaaSvX79O93jx4kUag+PjYzPLITjC\nOq1WK40lra2zs7PMUWu2nXNMq8Bwfo0rLSs9g+kYvvnmm9Q2zqler2cHBwdmtp1fpMWq7+j09TnX\n1Y/6f7fbzf5W5OOVB2G5HB4eZhzlKOx7NpulTfDq6monZwZDoieTiX377bdmtt08hY12u93ETjg7\nO0sHig4Thl0zB8fBwUFq63A4TBtJr9dLGwLNbm1AXJzk2tfr9R0MXdf797u8vExtqqoqvcvx8fEO\nk6HRaKT2HB0dZRit+qnX62Wwzb4Usrch5ML3+337f//v/6U2RJjw1dVVtvmZbftNDJUvv/wybejT\n6dSePHliZtuNXmNC/Pvrr782s+1Ya3MnpEeO//HxcXr2+fl5moNkKRHG06Y6Go2yykK6RnO13++n\nsfzmm28S3LNYLDLY5tNPPzWz7YGkMVY7u91uYu4wz4/n+esQoa+hyMctBXIpUqRIkUci96qhS8vp\n9/tJu6CW5hMRkbstTU3mbq/Xy/jF0n6Wy2XSlhqNhv3iF78wM7O/+7u/S1rPl19+mZ6n+52enmZO\nVmrl0urq9XoWXq52SgaDQRZhSlNf7yUt+/DwMIN4xG0ej8f24sULMzP77rvvksbY7/dTW6WNHR8f\nZ2Hv4lW32+0MVpK2StbPbQo51eofRuYSHlitVml8Xr9+bW/evDEzS85pOoU5lpPJJM2TwWBgZ2dn\nZmb22WefJatA92I+8bOzs8yykYbb7XYzNpT6S78bjUZpTtHBS4fzer3OEqypPWrH3/72tzSn6Oyl\no/Pm5iZZJ7qvmdnTp0/NzOzly5eZ053QFbNWFqdoEbMHyuWyXq+zYhfMc6LJSzaEYBOzdxj68+fP\n06I+Pj5O3xOPfvr0qf3+9783M7Pf/va3aYFq4TSbzYTdHh8fpzadnp6mzXYwGGTmr9qkzdObxNrE\nDg8Ps4OFTAWz7Ubz+eefm9l2Y9N9v/zyy/S7J0+epHb8/d//fYKK/vu//9vMtpuc2swF3ev1Mmqd\n+nQ6nd5JLheN33g8ToFaFxcXCUogO4OHKHPc6AB98uRJglbYb4RFnj59miCLX/3qVzv0z9Vqlfrl\n8PAwfd5sNul5vV4vo3NqLjFISX3FgCz6Yi4uLtJcevbsmZmZ/f73v7fnz5+b2XYs//rXv5pZXoT8\n9PTUfvOb36T7/fnPf07Xq22SXq+X2ubTFZApcxd01CI/PymQS5EiRYo8EnkQp6hZXIyAmjuZCpPJ\nZKeG54sXLxKU0O12k7YyGo2SJvfs2TP77W9/a2ZbTUfmsbSwer2eNO0nT56k7w8PDzPHKhkvvjYo\nhQm+fBi+2iQtm9kkv/jiiwTJdLvddO9ut5s5z2RNCJK5ublJ/UiYpdvtZhAB2xelB/ipIu3U88PV\nHvKsp9NpalOv10t/078nJydJy6/Vaqnv37x5k7FSPvvss3RP9ZfGstvt2unpqZltx1WaMYuE0PHY\n7XazZF5qp8bk/Pw8g880BzqdTnq2xn2z2aRn//GPf8wYO7Lknj59al988UXqg31jZZY768l6WiwW\nqa3MFV/k45YHwdA7nU5G1SILQaZ5u93O8GjhkhFmPBwOE+a4WCwyGpsWar1ez7Ipmm0Xn3KFPH36\nNJm6rVYry/NBahqzIprlEYzcJHz0ng4fLTzSFj/77LPU5uvr67SA+/1+Mrd5mPzhD39I76rNgGwc\nHnDNZjM9s91up/64TWEVKcFjhMEYGblarVI/TyaTtCFG2RG/+OKLRO+7ubnJ8G+NIQtHqO+ZRZOR\nt0yFTMYLWThRJDJhK2L8zWZz52Dnxvr555+ncb+8vEy/e/LkSZbjRW3V+O2rb8tiHlR4mIK3yMct\nZRYUKVKkyCORB4Fc6NAZDodh1sSjo6OMhSC4gQEzDHuPQue91iKtW0Kt6eTkJLMaaI6T3+0dcM1m\nMzn5ut1u0ijN3jEb5vN5erb+nc/nWb1TaXKsQ0lZr9dJi2UJNEIBdPKReaJ2DIfDOwksUnvIoOn3\n++n//X4/QTGDwSALs2c79U56j8FgkPULnefqo+l0mmnMZnmxj1arFXK6v/vuu9RWBjipf5gNk+kd\nGo1GskJYBlHPG4/HmSUh+IX5ZZjdkRkq5UxlqUCWvyOzhbn3ybUv8nHLg0AutVoty4Uik5MJuRqN\nRhZVqU0zKh6g6/UvEy1FhZNZnUZm7nA4TM8mVZFwAVkF2lw8ZKTNY7VahYWmicczKRkXOHO8eN+B\nnunbzPfm56urq4x2eRcLX31xfHyctUHjenZ2luXP0aF8fX2d+U/0dx5onCdMaMWiFYIhiMezj3Qo\nrFarpBjMZrOE1Z+enu5UlOKzCZ31er3soPZJsXwxDyoXjJDlhk32i96PbWCOHolovHpOKXBRxKxA\nLkWKFCnyaOReNXSapywCwFqf0raYRY8paqXd0am4XC4z7YXPoemta3SPg4ODnVwsujaq22mWl9GT\nSBO9vLxMgUytVit9zxwwzNdBTS6qn7pYLLLsk77QBhkSzNPCQJjRaJRgHoaf36ZQC2Ub6dTWuM5m\ns8zSYRpl/qtrmV1Q1k+j0cjKCUYFSOgIlYzH4+QEb7VayeHMQDf9ztd2VYAXHd90ltKio8VGa1GW\noQ90iixA3YNlCJlhlKQB/9siH68UDb1IkSJFHok8yLFOnNHMMg2FWDgdftJq9PflcpllpNP37XY7\nc1hSy9IzpaWSdsYER9TKfcGCKAkSnZHENum0JXau9kiI29ZqtZ2oUvWRz+xHat2+/PHMm80sl7cp\n5EazwHVEW2TfckzYB5wPopoyhzgdicx/H5XaIzX15uYmpVhQpKau8eNNHw4d7ZPJJEsyp/eVw5rP\npiOXRSs4p0hRpL9HQvor52un00kW4Gg02qkXUOTjlAeBXDjRq6rK+NOasDTfaV7qO8IUdD4RevCF\nBGQ2a/HNZrMMhuHmKPEVZbxTkVBPt9tNz/AOTXKGzXIznyyL+XweQjGNRmPnUPOwDTdF1lKV7GPQ\n/FTR+BHqoROQB26tVkvwS7fb/d5AJ7I6CD3QiczfE/6gU1iH2Gw2S/3MYhxRBsr1ep0VR2HqZ8KF\nmkuCYQaDQTbnmB00gl+Wy2U2j33feaZWxI5hAZEiH7cUyKVIkSJFHok8SE3R5XKZ8Yil/fj6nNSc\nyE32f/caOh2FrEkpjrggFyZ/opnLHO2kjfkIPrO8TudyuUzvcn5+npnBnm9Nah2hnMFgkGmd1NAJ\nW5jlFgOTklFbbzabWdbAu8jKp+d6bZtWBymh7E/CYxImO6OFsc+p7p2i9Xo9aeWj0Si1b7FYJKf1\nwcFBGot6vb5TSs7MwoInTFVBi4SWl9rDBF/r9TqzCOjA9lYfISBSb6uqyuAqD9UUKXKvG7oWWafT\nySAXfo6K3TLYhJtZFHDhueJaRL1eLz2H5ikDSqKFwQ1DbTezDBoihqzF2e/30zVXV1fZ4aM2M58N\nD5YfahODm7iJsYA1Oc/0DdxF+lzCB2wbD22mImBaXV8g3LOKJJ5rHRXt4OFNyInMEOXGabfbYYFt\n/iue+ps3bzKGiuaaL+as9jCTaFTNyRfN9hszr+W7eN+ThLz8Ih+3FMilSJEiRR6J3OuxzjJszBKo\n781y6IMmsTerCa2Qb75er7P7MRmTNDhq19TSIu45naJklei7+XyeVV9nfm+GrQv2EOOCDAlyzJnG\ngH2gZ5nlFgajXwXx8F1oNRAiuE1hOgZmtGSxCLJOyKOXRP29Xq9Tv1A7ZQqGzWaT3pvRnurv9Xqd\nHNXPnj1Lzks+U9fx31qtlsbv7OwslbfrdDoZLMOCLGZ5f9Mpzxq4fC+OL/9O5g4jhyNrqIT9F5E8\nSJFoFlBmClufoVATmVRE/p3YtRYAWQPE0Elvi+hjhGdovnrGi4d2uLnyd4RqTk9P03WCnb755pt0\n7+FwGOa54cZB2iJrokZ5UZhy1Rejvgs2hDbM4+PjFBZ/cnKSNtpGo5Hln4nC4T2kZpYfbtzYCEmQ\ndcJCG4TxdM9+vx8eFsSsCVWxqEVUZIX9z5qiZCPpHlQ6OEf1LLVJf+fGzaArzmEe4CXbYhGzArkU\nKVKkyKORe9XQqcFKg5xMJqme5GazybLaRXxrMjki1gA/+yAawQHSpqhxz+fzpOV4hxm1fA+5eOjH\nB4XofgwC0fsrUdRyuQyDcKiJ8t60RggjSWNbLpepfwk/7XOy/lSh5syEasxZTi2axRt8wjS9K9us\nf6nB0uqQNq7xJfR1c3OTQvw9Y4na+L53Msvrv15cXISsJj2bydCYJI3vxTkasXhoLdKpvVgsMqaY\nxvuunN1Ffn7yIIFFFAbdsHju4eFhWiSkBjJAh7S/yCw1e3eITKfTtJlqIZChsm9D4d+40Bjpyd+x\nHdowqqrKmBa6JzeoyNTfB0GR0sZ8N3qv2WyWNvKbm5usAPJdQC6ig1ZVlfp7MplklYf0XOLf3ND5\nL+mZPKjpQ+A99K7M86Oxpn8i8s9I1He6F4PfzN7REtfrdaYoeNpiVVUJnvHFmzluEv6dB3UErbAi\nFH1CLHhd5OOWArkUKVKkyCORByGvUiufzWZZdfWInUHNV8KgE97P83rFdphMJpmm4++xWq2S9sy6\nl41GI2lCVVWle0uTW6/XGeeZIem8VvAKGR5RhkEGueieah/Nbf1N7zIej9P7TafT1KbpdJr6gH19\nmyLYge8vDdlsN2gr6s8okIs8dWqt8/k809bpDDXbWiW09NQvdBzz3mbv5oT+JcecY8nncP7ICuh2\nu9l8oJVCIXeemrn+ZT4fMmg4Z+gwLjVFi5jd84bOup/EdlmggHADmSHE0822i0y/Y8Snjy5kUiwt\nKi24169fp2RNrVYrY2WwXqk+9/v9nYVZVVUWlUgKneiMrEhExgUhI+L3hFmIi3umDOmQ8/k8HRqs\n6HNycpL6Yzwe3wnFjRRUFpYgwyMqssxcOvod2SeMjm00Gpn/hBszMWuz3Icwm83SeH/33Xfp2b1e\nL2HrJycnWREQs210qPr54uLCvvnmGzPb9j0PZY2P+rvf76dCFT6vSwT9ECrjAcIiGtrQZ7NZor1O\nJpP0XgU/LyIpkEuRIkWKPBK5Vw1d2oVMdIk0FJrbdFgSRmGBiCglq3eCUatj4Qj9Ky2HHO3VapVp\neExZoOcTWpATbDqdZilX5Syk1cDUANIoN5tNasdiscgCbhgi7rVrz2emhkoznikS7jJE3ENODOCi\nRUbN3ddoNcu54ITgaK0QiqJma7aFXPQ85jyh5nt5eZmNMWEjs20uHrGvrq6u7PXr1+laWWy+3KHZ\n1mJTO1mQwueLYT9x3uk75oshQ4jwCxlCJZ9LEbOioRcpUqTIo5F71dCluZDnTacjtS1+b5Zj5/o7\nIzuZYVFCbJq/5b+MKGQBat2P5dPa7XbSLvlOinql063ZbKb7EXtne/gdnazkoUd85Eir9VprRG+7\nDy1O48diDJ7OGWWQ1HekNdbr9czSUB8xGRXpjKQtakw8vqxrxuNxinBlxk9y/anNyz9BZz19Hbwv\nLUBewzQAEb9ev2Pedp+Z1DtQ9bkUuChi9kAsl9FolJyEZnmWPMl8Ps9qKZLHbJZvfD7rYBRGTogm\nSjs6n8/tb3/7m5lts+sxXa+gk+FwmByAktVqlRb+mzdv0sJ/+vRpco4dHR3tVCrymQm5OdPclvig\nEv3LTTza/H3mvrsQbibcmOlkjtrDClXRuDKoi+/q2Un6LdvBA42HhqCTb775JhWnWK1W6dAmjKfN\ns6qq5HwmpMK5xuAfXRtV2tJ7Rakq6PyMspF6WJD1bQsPvYhZgVyKFClS5NHIvWro0laqqsqiHqXx\nkNJGjXqz2WTOUF3rc2mb5QmR6BA0y5Mq6Vrdd7FYJOfmX/7yl3TPs7OzZI4zlzehHfKfI7jk+vo6\nwQVPnjxJfUDYifQ9OtqihE2sgxolrCLkwmIQ3ol6WyJ4o1arZdoyLSVCCBLmOI8So/n0DlERDNIc\nSVHV3y8vLzOITW198+ZNGpPNZpNC+2kp6Hfn5+dpbqzX6zRnON6y4ubzeXKiE57rdDoZnENYxmvo\nvl6u2umLYVDLLxp6EbMHglx6vV5W0IEsBW7oFF/4wqe4lcnMICOzHLbQwhdsUq/X0+fDw0N7/vy5\nmW0XqvBVboKTySTLume23bi0kfR6vRRIcnJyktpMhgeDYJhmVRsC0xiY5ZkhoxqY3Ny54UfFFO5K\nhB/7DVfvyiAYj/v7rJXkm3MDo5/EZ9RkHhyzLUymQ/jNmzeJXXV9fZ3mydOnT1O/3NzcZMWXzfKA\nseVymTjr9LuYWQbHSTTerVYrm7fsAzJ2yG7R3zmuZLbQH7IPsivy8UqBXIoUKVLkkci9aujSNOgw\nY85y8pipvfmE//o7E3ZFiY/IqIgYKicnJ+l5x8fH9stf/jJde35+bmZbDZyFFXwWw8FgkExwqCBA\nJQAAER9JREFURkouFosscZNMeibnUn90u90MWolSAlComUWpATx3+a6FBRiiUH3CIoRfWLnel/bT\nfekIZa1RQm/M0Gm2HdeXL1+aWV7WkJCeTyugNkVMmna7nVkEnA9y7ktDJzOHNXL1W4mHz/jZtyeC\nXHwGy7tIulbk5yf3uqELxmB4O9PFLpfLcPFFlXZocrbb7dAUJYuCn3WvJ0+epM9sx8HBQUYVk+nt\n88eY5RkYuXm2Wq1k3ne73fSZIfCsxqNFuy8FLzdCQi/EWrmBeiqf2S4V9LYkgrh8/pOIlsjfRjRW\nX9SC1+oAYD/qHoPBwD755BMz2zKq1A5WUWJ/8vAlVOXrwEqY6kBBRkxdwNS+DGZjQFUEibE9DFTi\nhh5l14yCzop8nFIglyJFihR5JPIgkAvzXEeBNv771Wr1gyHrNEXJJaYjyt+jXq8nLjJNd28RiGc+\nnU534BAGklBL9s+JCmNEPGI60chz9kU81M4oBN6H/jNQ5y4kqn9JrdfX7iQTyPP6fRs1ZszMSLYR\nhVqvxvLJkydZERNquwxE8sFX7FvvkGeiuKhGKyFEBhzJUUtrkCkBIshsX5AR4zR8AFORj1fudUOP\nsOF9jBRfXccvHG4eNGGZ48Kb/H7RMj8ImSFkynS73YSP8pmMeuXzyNqIMPB9VWm4oct856bv3133\n4oYe4av3ER3KjZSHBzclUlC12bLPJb6mKsdV78Liy7o/xVeZIuWVmyCji1kcRO2gb4Tjxvf1MB7Z\nPRSydHjgMOKZGzrbw3kS5fahglTk45YCuRQpUqTII5EH0dC/7+8/pGnQMUbTnfdmGHaUT5saOsOq\no3wYs9ks0+p8PhVaAXTo0QymBrXPwUqnIZ1xhBl8H1Ar5z1oHRCCokZ/m8Ln0rkZMZZ8fh7P9vCW\nGLVT3a+qqqwoioez6HjlHKCF1Wg0Mqe1xl6pG8wsY7mQI04nPj+b5U70Wq2Whf5Tu+b7eQ2duVlo\nEfhAMkrR0IuYFQ29SJEiRR6N3KuGzohCamzEiantsRAzIwnNcuzazEKckYmUiIszpznDwhnh5zUv\nsxxzl1DLpOZIzZ73UZoARrqSv05tnu/Cd1cbfFk6tiOKKtX9b1uoXZOKGWHXpOkx/z2zbKrtxOT1\nN4nGbTKZ7OS5Pz4+zpytESZvZlm+fY697kUOOZ8d0SpZ/i9KN8Fn+9J7tLj0bM0TavD7qJSFtlhE\ncq8bugoGLBaLFCLP3BjeiRk52KIMiz7wKOIuTyaTxFYhj5iOJQYySQh10PylU4tOsKgW6Ww2S78T\nF79WqyXWQ7fbDZ1kPqPk9wUc+UIP7AO1yUNTtyXaDBmsQ3iHmyEPLBYu0TvzwGTAGA9ZphKgA1Tt\nuLm5yeIPOK8Iv0Sbvn43nU4z1hPhEkJwDOHXd4RZGHfAeaXfdbvdbLx1jyjjJtk4Pitl2dCLmBXI\npUiRIkUejdyrhk7Ygdqm8oZTe2S0I/nYhFaobRGmkHjKn/4mc3Y6nWaRqXSCRWYzoRFq83T+0RGq\n55AySQeetDdqkdRsCY+0Wq1MO9P7MDJTFgi1Vs/rvgtNjpkDoxB/FrLwBUi8sO2EpWazWZbkLOK4\n697qd7M8epfZHb014bM+8vPl5WXqW0Ik9Xo9y5AoIZwSwTO+b7yzvqqqnayUkRCqKcm5ipg9IA9d\nm0C73U6LpdvtZhsesVbP92XwD7nLhGqazWaWO4XFJczyPB8+m6EWJdPcev6wRKY7ixG0Wq0UFk5e\nuL5rNptZbcoIMmLVH8IMvmq82fZwYtUjVk6KNqnbFGK/6mMeQAzwImRBv0YUDMYNnQcWN+lms5lB\nI2Z5QQp/yKp93W43y5ypTVO4Og9q1o1l+yLmCnMTeQUlYmjV6/Vsjqr9UWqAfRk3eXAU+bilQC5F\nihQp8kjkXjV0OsDIZpE2dXR0lOWjllDzo0OKGr+0NJqzPhe4nJDMqOeZL/odnXS0Gph4Sdcyxzlh\ngajUHcPGyZAgi4caGx1l3nnG4geTySS7NtKC7ypqlFp0FOVKSIDRtN6aMssTt1EI28xms4zP7/Oh\ne22Yn8lq8lCHvjfb9qEKVVxcXCTrgFYafxuF8vuMjWS8aJ7TWmX+dQmzcvqxJDR31znvi/w85MEg\nF03SdrudbYLctBT4wXBqbhKa+KwGQwzam+a+/uN8Ps8y3XFR8BoeLp7O6AtNE2Yg1q1NgJCEUgp0\nOp1s84/C2ufzeUapM9tuAGLNsAqOh1iighG3KVEKA+Lpm80mgzJ4vU9pzPS0xLkJdTC7pu6vZ/rv\nPEYdpa0l5ZPpj6VoXFxcZKwT+gl8fiDCdWS2VFWVsbmYxkDXa0P3gUdRqoxarZZBO6VIdBGzArkU\nKVKkyKORe9XQpRV1u92MGULNkvVFGd5NZ6PZbh3RKCGXT+6lexOmYL5wcorJKInCz9U2meWSKFe5\n2Tu4h+9BbUvWCB2BDFunps0wdXLdmZYg4uvfFRtCmixD5L0zVt/3er3QiqH1xrGkdUGYgvCK17qn\n02l6Rrvdzlg4EfxFWEbjybmotug9+F6R5aV2drvdzKLclxmTDlC9n/+OfeS/LwUuikgehLbov2Nk\nJxeAvqeJyohCmbs+KpP5WRhJqc9atJPJJIu6ZKpTFpzg5sHAE92DaVEJLZDS5vHaZrOZYd4McmEw\nDQ8ZfR/BLIQNuEH5oJO7wFrpk+BBx4pSrM7ETVptJpyk/vR5ciTtdjsdImR48DAV5n1zc5PaxwLO\njUYj1QNlBST9jpBRp9PZSfPr26UD2Qcy7Qtw0viMx+OdQ5a4OTd8Yuj8/j6qUhX5eUiBXIoUKVLk\nkci9aujSlHq9XpjBsKqqxM0ml5qQijRj3sMHapB5QJPYB/eYWebg0rO73W7S1HgNsxiqPd1uN2nl\nnU4nY3mQMUFHmdmWj85cLmRqRKHx7D9pmXTIkm9Nbd0sdzTfhVOUYe/kv6ud7XY7yxfOMHs6fc1y\n52ev18vay/zl0ojN3vUpx5dBRryHxmc+n6dxYx/LOpAVZJY7LpmawTtI9Z3PC6N3YRCb5nFVVRn0\npveIMizyM68pcEsRyYPQFmezWTJhuUlOp9Ns8ekzzVVGj5IpwElP5kGULGpf3hQtjNPT07DIsmfC\nmOWbByl0PFiiNLg08z21jql2yRTRBslNkIEtfmPQsz3d8baF0aqEuCiszkQGCr9X24ltc86Q8kk8\nPfKNcJx0bafTyQ49Qlu+jwaDQdafPLSjVM0R/s0Uyox2XiwWqa087KMIYF8EZN9BXaSIWYFcihQp\nUuTRyL1q6AxAiYJHRqNRMkVZZsyn2DXb1V4JzxDKoGPOZ9Q7OjrKWCrkw1ProRbmtWQ+wywPHZdQ\nG4/YCz4NcMSHp6OW5cmojUeOUP8cvuNtiw9+inKyzOfzvc5Os5xdQjYLNdPJZJKsLQaPMcCLwTgS\nOmTplPaWjtkWeuGzmUFR4tMCm23ng9IEMOsj5yUdtXwmC13Q6ol46CyCcVdQWpGfnxQNvUiRIkUe\niTxIpCijPKm9TSaTVALs+Pg4w1p9iTJip3SQzWazpFlRy+dzJHRGkqbmtVpqu3oW+ev6zjvwiKHT\nmtC/TLpEPJ3aJVMNMOGU2sY+ZVQln0Pt+C5oi8Kox+NxFmtALDlKdsZrOK50kEr2vStzjmscvAVI\nJysjfem7IUVW/9LZqu+ZQ59OcM2Ho6OjbHw4/6LQflI92V+6luPF6NC7ym1f5OctD5bLhWwIhr1f\nX1+b2dbkZTEJHzi02WwyxxI3Y79gdL3f0Jk2tdVqhUEgnjtMB1skDMcmI4ZZHc32c4cJOZCPvFgs\nEvOCBxYXfJQOlu2/qwCUiAHCTZwZCJlnxjuU1XY6LungppOc7+fvwXwq7Atu6HwO2TmsCkVHvP5O\nB6regcLUvf1+P8vXwzHnAefHxB+80ZjxXtHcLvJxSoFcihQpUuSRyL1q6DSvGSHITIdyOt7c3CRe\nOLUVQheEamRue83GO7H4rw/jpsMsyk9OCIR1SSPTl84sOs8Iw1DjjBKGkWe+Wq2S9qd+abVaWZEM\ncvsZNco823chUTQk+4qZDTk++5yjdDRG1tZyuUx9QOuHmQ3pYJSwcAnnDx2kbBOtN8IokcYsi421\nSGlt+bKArInqE74xdYF3iNJZGrW5yMctD7KhcxES6jB75+m/urraGzate3luuu7HfDDkNJMTrPty\nw+Rij7LXRVn5PO+Yi5Ybwvf1AYNRJpNJ+kxoiu/JkHTejywepv/V/aqq2skOeBtCvnZUSWhfFkYe\nMGIHkYfvGTxRgQ9fa9Qsx9t5cPrDl6l7PdOEY1arvas/SjiH1xMa072qqspgQR5wup5YuK4djUbZ\nmuC7UIin+6yVRT5OKUd7kSJFijwSuVcNXWHV1OQIt5jFzqL1ep3xvnUPalURe4PmLLP8RVotS975\nRFfMd84UA/qXUAC1VWp1NO8ldGLS3KYmLs1rOp1mWrcXPoP1UZl07K6EWnkUhUuYgiHrZu+00shy\noFZLC2uxWKQ+iKw3wikcHzJKGP3JjJSMRI4ieT27xDNU6MimM3WxWGRaOSEVjr36xK8Lsxz6oZWw\nXC6Lhl7EzO55Q9ekq6oqXPhm+eYgPP3w8HCn6LFf4FxQzKtBBgbDxfUvMWhtKtxI1+t1Wvjdbndn\nAXNxe0zYm+38l7RFBolMp9PsPoQnfC6a7wsm4WHH/CV3EYASUQiJ6fuCx1HeHQaUse+j3/kDUBLl\n6OGGzkOPfgYexDyQ90EdpIESblN7mN0xKn5CGMgzmXx/8V0IC3pWSylwUeT/a+9udhOHYgAK3y74\nEcqC939KJCRQsoBZOTpxnSWt6jnfCs2UNk3B3Di+9himXCSpjV/ptsjGSHmlvR4YKj8ej8da1cBU\nSDWzkp0ZeeOUq+VqwwifdzweN3M9Y1XEoRtVHTmvCDgWb57nb6s9VrM8n8/1aoQ3/7jJhhU5rIqo\n5pbmIRnhfD5/pHc200lVqiNvTWfKKw/t2Nssw7p2pk74nGpgBVe7TOvkjUf5youP84Yx/g3Zd32M\nbcqMG5Z4szTPCc1yWoevnThPeViHPdE1xg8HdLYdZS8OBnfOCY034O1221RBjLGtTMhvcKZc4g3A\n7x0ljqw0yZewnF/JPC4/AMb43uK2OiamV9iPhYM4OPiC5ysCBtNUHPbBPH3I54L/94mUCz/wGFyr\nboY8ljxQeYzt34zVG/yA59ezooVVLhyEwo6NeyV+e7npOA6+dtnuOTbCxQcyg+48z5vUHO+B8PfO\nKZZcAVVV1eS2utIYplwkqY0fXaFXvajZ54SbYDjxfVmW9eYXB2AE1hezAoKra864ZC15rI4ul8vm\nSoHPqzYnVWPpePyslOGoOI6UqybJv16vshPf+/0e1+t1jDHWfjdMrZxOp83YPP6un96Awvp+XsFw\ngw2rWarjqFayudqI/ezz3oP4+vjZfB43lFUpFY5B5M1Kpu54PrkCjysorpLz0I74vfZSjtUKfa/b\nZ9XqgVe8+r/9ykzRaZrGNE3rv7GEi5UmLE2LXZKRYmDr2Jwzrl7oLFHkJTPb3Valc4fDocwL83K3\nOg5WOPAxc6q5jDIeM7ixfW4cKwNFpI/yEGJ+4MSx3u/3j24syj13ItAvy1JueuKxMHhW/XD4c/L3\nDgziPKdVq2aeF+a0GeQ5o5R57Fhc8D4Izz0/tHmc/Fqm7EK1KYuWZdlUs7C66NOlqfobTLlIUhNf\ntuCUpB5coUtSEwZ0SWrCgC5JTRjQJakJA7okNWFAl6QmDOiS1IQBXZKaMKBLUhMGdElqwoAuSU0Y\n0CWpCQO6JDVhQJekJgzoktSEAV2SmjCgS1ITBnRJasKALklNGNAlqQkDuiQ1YUCXpCYM6JLUxD9J\ntJpg8oYSnAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1202b1e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"generated_bottoms = rf.predict(generated_tops)\n",
"\n",
"fig = plt.figure(figsize=(6,4))\n",
"\n",
"for i in range(5):\n",
" generated_face = np.hstack((generated_tops[i], generated_bottoms[i]))\n",
" ax = fig.add_subplot(2, 3, i+1)\n",
" ax.axis('off')\n",
" ax.imshow(generated_face.reshape(image_shape), cmap=plt.cm.gray)\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Completely random face"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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E5uiPRAz8ylufbabj+u+JntrJpA1fa8J+r0+Du8b5W7yh4122QdGOS4+DlOez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\nEHZLXoZDCCGEEMJuyctwCCGEEELYLf8Pc3zda9ePyMgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12081ba20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 3, figsize=(12,4))\n",
"ax1, ax2, ax3 = axes\n",
"\n",
"noise = np.random.rand(2048).reshape(1, -1)\n",
"noise_bottom = rf.predict(noise)\n",
"gen_top = rf2.predict(noise_bottom)\n",
"gen_bottom = rf.predict(gen_top)\n",
"\n",
"noise_face = np.hstack((noise, noise_bottom))\n",
"gen_face = np.hstack((gen_top, noise_bottom))\n",
"gen_face2 = np.hstack((gen_top, gen_bottom))\n",
"\n",
"ax1.imshow(noise_face.reshape(image_shape))\n",
"ax2.imshow(gen_face.reshape(image_shape))\n",
"ax3.imshow(gen_face2.reshape(image_shape))\n",
"\n",
"for ax in axes:\n",
" ax.axis('off')"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda env:data-course]",
"language": "python",
"name": "conda-env-data-course-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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