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@larrybradley
Created October 3, 2019 14:41
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from astropy.table import Table\n",
"from astropy.visualization import simple_norm\n",
"from photutils.datasets import make_gaussian_prf_sources_image\n",
"from photutils import extract_stars, EPSFStar, EPSFStars\n",
"from photutils import IntegratedGaussianPRF, EPSFModel"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-0.375, -0.375],\n",
" [-0.375, -0.125],\n",
" [-0.375, 0.125],\n",
" [-0.375, 0.375],\n",
" [-0.125, -0.375],\n",
" [-0.125, -0.125],\n",
" [-0.125, 0.125],\n",
" [-0.125, 0.375],\n",
" [ 0.125, -0.375],\n",
" [ 0.125, -0.125],\n",
" [ 0.125, 0.125],\n",
" [ 0.125, 0.375],\n",
" [ 0.375, -0.375],\n",
" [ 0.375, -0.125],\n",
" [ 0.375, 0.125],\n",
" [ 0.375, 0.375]])"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import itertools\n",
"offsets = np.arange(4) * 0.25 - 0.375\n",
"xydithers = np.array(list(itertools.product(offsets, offsets)))\n",
"xdithers = np.transpose(xydithers)[0]\n",
"ydithers = np.transpose(xydithers)[1]\n",
"xydithers"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<i>Table length=16</i>\n",
"<table id=\"table47849742480\" class=\"table-striped table-bordered table-condensed\">\n",
"<thead><tr><th>amplitude</th><th>x_0</th><th>y_0</th><th>sigma</th></tr></thead>\n",
"<thead><tr><th>float64</th><th>float64</th><th>float64</th><th>float64</th></tr></thead>\n",
"<tr><td>100.0</td><td>99.625</td><td>99.625</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>199.625</td><td>99.875</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>299.625</td><td>100.125</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>399.625</td><td>100.375</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>99.875</td><td>199.625</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>199.875</td><td>199.875</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>299.875</td><td>200.125</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>399.875</td><td>200.375</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>100.125</td><td>299.625</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>200.125</td><td>299.875</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>300.125</td><td>300.125</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>400.125</td><td>300.375</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>100.375</td><td>399.625</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>200.375</td><td>399.875</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>300.375</td><td>400.125</td><td>3.0</td></tr>\n",
"<tr><td>100.0</td><td>400.375</td><td>400.375</td><td>3.0</td></tr>\n",
"</table>"
],
"text/plain": [
"<Table length=16>\n",
"amplitude x_0 y_0 sigma \n",
" float64 float64 float64 float64\n",
"--------- ------- ------- -------\n",
" 100.0 99.625 99.625 3.0\n",
" 100.0 199.625 99.875 3.0\n",
" 100.0 299.625 100.125 3.0\n",
" 100.0 399.625 100.375 3.0\n",
" 100.0 99.875 199.625 3.0\n",
" 100.0 199.875 199.875 3.0\n",
" 100.0 299.875 200.125 3.0\n",
" 100.0 399.875 200.375 3.0\n",
" 100.0 100.125 299.625 3.0\n",
" 100.0 200.125 299.875 3.0\n",
" 100.0 300.125 300.125 3.0\n",
" 100.0 400.125 300.375 3.0\n",
" 100.0 100.375 399.625 3.0\n",
" 100.0 200.375 399.875 3.0\n",
" 100.0 300.375 400.125 3.0\n",
" 100.0 400.375 400.375 3.0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nstars = 16\n",
"sources = Table()\n",
"y, x = np.mgrid[0:4, 0:4] * 100. + 100.\n",
"sources['amplitude'] = np.full((16,), 100.0)\n",
"sources['x_0'] = x.ravel() + xdithers\n",
"sources['y_0'] = y.ravel() + ydithers\n",
"sources['sigma'] = np.full((16,), 3.0)\n",
"sources"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"data = make_gaussian_prf_sources_image((500, 500), sources)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0xb252e1d10>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x1080 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15, 15))\n",
"norm = simple_norm(data, 'sqrt', percent=99.)\n",
"plt.imshow(data)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"from astropy.nddata import NDData\n",
"nddata = NDData(data=data)\n",
"\n",
"from astropy.table import Table\n",
"stars_tbl = Table()\n",
"stars_tbl['x'] = sources['x_0']\n",
"stars_tbl['y'] = sources['y_0']\n",
"\n",
"from photutils.psf import extract_stars\n",
"stars = extract_stars(nddata, stars_tbl, size=25)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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5yZlvV14LPmv6mTbf0cdzvKPPw3TXb8/8hj6eW7t6OYiP7+isfWrrvn5dx2VNf83tYvn6+oGpjH/U1lnbbur3bBb6YluU+nw8mJqsjfR13zrR+e0c6tdFRDQP9HWVTvTzPqnlWq5BziKliNbT9y33zWfHbX0sJy5nO/5+v9jVObuxbXJmKur/s02dsx/uPJBjt5v6s+NFcjbO+lq639SfHbcat+RYI5mlbEzO7k31c2s6MOfR5Gy27ac/LfNZKbXNM20iPkeYnPETMQAAAACoGRMxAAAAAKgZEzEAAAAAqBkTMQAAAACoGRMxAAAAAKgZEzEAAAAAqFmt9fWRQlb95p6upJ1t6xrN6barp/QVpHl7Jsf2dgZy7ONburL3kxu6ZtRVkL7U1FW//SRqZyOiSL57duiqfpsncmyj0O/pTBb6kvrexJzHU12P3jLneHqhClJT9TsW21P6JRHWglkmItv6+iVztuVzVmzpnN3a0jn7oU2dsx/p6Sz9SEfXAL/UcPX1ejsr6+uzvg73F7pSu5v0ey7M98lGc32uhmNdrTszOZtumxrgLf26iIhO3+SsY6rvR8vXK6+FlGSVsX2mberrZbZpsrbpr8OGydrtTfNM6+usfaKrl4r4ZNtlTddqbxS6/vsiWbu5OJVj7aTfc5b19X060+fxdMssQ3DizrF+v9mm//54uaHzXSyTtfk1eKYVST6vc9flzB1nvd/zvv9c1eqbnPV1zj7W0/X17vPhJ9rms2NDX/NbZgmUKmOzRMpWoZedcRX1bjmlI/PZ5GhTL1Ew3NRf053/qRmLiOi6nJnPjtEQX9fkrPInYimlr6aU7qeUvvXEr/16SumdlNI3z/75maqvA8Aja8DqkTNg9cgZcD7n+aOJr0XE557y67+dc/7M2T9/drmbBbyQXguyBqzaa0HOgFV7LcgZUKlyIpZz/kZE6D+3AOBSkDVg9cgZsHrkDDifi5R1/FJK6a/Pfvx8Q/2mlNKXUkpvpJTemJbX/O8DAFejMmsfyFnWf34bgPTsz7TMMw14Rnx2BJ6w7ETsdyLikxHxmYi4FxG/qX5jzvkrOedXc86vtgv9l/EAPNW5svaBnCX9F1sBPNVyz7TEMw14Bnx2BD5kqYlYzvn9nPMi51xGxO9GxE9c7mYBiCBrQB3IGbB65Az4QUvV16eUXs453zv735+LiG+53//ECyNUrXZPV0XON0wFad9UkG74CtJOX1e039rQFaQvd3Ut78fbuur3Ey1XQTqUYxumXbaRfPXsoJzor1voMWdY6nN1MN2QY4829NjJpjv/pgZ4o6rqV9eMNlumgrRYj0rfpbKWIkItE9HR+zzv6WM516cuFhU5623onO119XX/Ukfn7KPtR3LsY0391xJuN/S2bKXl/6T2OOssdZOuEF6Evs5OSv1d4Ic9XYn/oNeXYwcbuurZnv+ez8Oip6+rllsmorEeS1le6JkmslbarOnjuTA/0C57Pmv9nr6+b3R01u609VImH2npyu1Xmno5iNumon6rWH7lnHHWeWqFrvKemor6w7a+wd3vbsmx983YqKdP5Lynt2XerXimdfSxa4hrMSIiic8KdT7pls5ZpIji6ccsd/SxXHT0sVyYH7KVXb+EwobLmXmm3Wzpz5W3m/p55yrq7zb0PWEj6c9VVZ8dh6VbzkXv4zjrpZj2W/q5da+9I8c2Ovp4D7rm+WqujXnX77/NmfnsuEzOKu+GKaU/iIifjohbKaW3I+LXIuKnU0qfiYgcEd+NiH9e9XUAeGQNWD1yBqweOQPOp3IilnP+wlN++fdWsC3AC42sAatHzoDVI2fA+azHnwsBAAAAgBcIEzEAAAAAqBkTMQAAAACoGRMxAAAAAKjZ8h2yS9FVv7mtN2XRNlW/uo05ym5FfX1b1+tut/RK7rdauur3TlOP3W6M5NheoefEm4XZyQobSVeQRujK7aGpS71l9vFGW9ea9k0F6Ulbn6vS7P6iU1FB2tb1pXHJFaRrI6VIqlK7Zap+Tc5K0/Sf277qt9MyOWvrTNxo6qrfm+b63C1MXb6pzd68wKKhw1K/5yLMdV/ovOyY+8VuS49ttHXmD1zOzHlctPyVn9vme3rm3mbHroOkK/hzS+9baY7nwmWt5Z9p7aapjG/p+7291sw1upX0++0Uujp7w4xV6Zj6+lnW+3FU6Gf6lhtr6rFeS2ctmXNVtnTW3L02wl9X0TTPO5W1ihrzteByZpbAKM0n3NIcqtz0OWs19DXYa+hrYquhr6Vte33q93MV9RfJWWHuzWOTs34yS8SY+0y/aZaAMfe11DRZsmNyKCIictOtG7XEM83k7Jo/BQEAAADg+mEiBgAAAAA1YyIGAAAAADVjIgYAAAAANWMiBgAAAAA1YyIGAAAAADWrt74+6VrwXJjqbLOV2U0lC1+r3W4uV0G6Yeqxu6Yuvpv09ria0VYyPasX0HeVqIWpEi30PnYKXTPaMZWvydTF2grSikOTm65m1NSTXueq3wi5nbmht99l6SI5azb0ue2Ya7CVlhtzKxp0UkU39JI6Sd+k2vaeoPPSNTXATXPcmoU+3qmhz5U9/1U5c7lwOXseqH03+53dIVl2LCIaJovNpK+LYskxt6rBqp5bhTkIDXMd+vuJzmFhnttuzN4XzXGz99qoyBo+wObsAuxHh3DXi6/FX4a75lfFvecq9tHmzI4t/5515oyfiAEAAABAzZiIAQAAAEDNmIgBAAAAQM2YiAEAAABAzZiIAQAAAEDNmIgBAAAAQM2YiAEAAABAzepdR2xJbpmAiyjN1y3NAgRl1UIfS1jk1ayFsOx7rmIfS7eohx1b/j2TO67PM7Xf5qK3OVt2LCIWpT63c3OduWvQjc3M9syyW0to+XWPSnMQXM5mZoGuWda3Z5clmzNzLtx5rFoa5oXNWYTMWlqYrJnjaY+1O38RMV/oXEzMoov+OtRjE3PaJ1mvn3eRrE2yXvNraq7DscnTOOt1POfmuM1LfbzzQp8re/71LerxuMua+1BzneWIrHJm9tksa3qhnE3n+poYLfRalcNSX2fjrF83Nvf0YalzVqj1UM/B5Xdgjvmw7Mixcan3cWIWDJ4s9PHOc72Pxdysd2buzxERaW4uEDt5EK8zueUnYgAAAABQMyZiAAAAAFAzJmIAAAAAUDMmYgAAAABQMyZiAAAAAFAzJmIAAAAAULPK+vqU0lcj4r+NiPs55//i7Nf2IuJ/i4hPRMR3I+K/yzkfVL5bjsiLp1c7JvHrEb6CtDBVr8nUWkZEzEwlpqsgPVl05dhxqcdOyoEc20i6KjRMi2Yj+ZpVV206NA2cA1Pne7Lo6dfNTXXpXF9u2dWM2rGqClIzbq65ZSpIL+rSsuZyNjM5M73vDXN5ppnP2dSc95OZvl6OzHV2WG7Isb08lGPdcirHShe0CmNTi39oKq79/cKMzfXYaKbvXdmcq2JmcubWBAh/XcXc3KRVzlbocp9pOfL86Q+oNNP73ZiaKmOXtam/309mOmvHU52ng3lfjj1abMqx3WIkx1pJZ21mMlplnPU1s28qsN09w95rZnpsONVZi6nJmjmPDZeliEjTJZ5bbmxFz7RLzVnkCJWzqf6A6HLWmOh3K8b+mTaZmpzN9L354WxLjt1v6rEtk7NG6CyNs3ldxWdHV1H/wFTUu/vFw7nex4Opzudgoj+P2pyZc9xwa29ERDE1z62ZvkmrZRbcu53nJ2KvRcTnPvRrX46I13POn4qI18/+H8DFvBZkDVi114KcAav2WpAzoFLlRCzn/I2I2P/QL38+Ir529t9fi4ifveTtAl44ZA1YPXIGrB45A85n2b8jdjfnfC8i4uzfd9RvTCl9KaX0RkrpjWmpf0wK4KnOlTVyBlzIks+0cW0bCDwHyBnwISsv68g5fyXn/GrO+dV2of+sNYDlkTOgHh/Mmv77IACWR87wolh2IvZ+SunliIizf9+/vE0C8ASyBqweOQNWj5wBH7LsROzrEfHFs//+YkT86eVsDoAPIWvA6pEzYPXIGfAh56mv/4OI+OmIuJVSejsifi0ifiMi/jCl9AsR8VZE/Pz53i5HlE+vhEwTU/U70ZWsDVMzWox9Ped4pCsxD8a6SvNRV1f9Pmhty7G+69KMUzmyVega4CrjrI/Bg4Xex/fmu3Ls/ZnexwNTkTw0FaRprJcScDWzzXFFBelEV9vmS64gvahLy1rWVb/FRO9zc2Sqfs1fOytG/vs5I5ezib4G70911e07zRtyrGuWgigbx3LsJJsa5IozP8j6VrpvcvbuXO/HvanO4IOxrggejE3OzLlqmnPcHPtKbZszcS1G6Jyt0qU+03LoWm2bNX08m0NzLxz6rI2H+tzvm2faexN9T99p3JRj7aSf27N8JMc2TEd/ddZ0dfa+qc7+3lTvxzsTncMHI5O1kd6WwpxHmzVzH46IaIzMc2tqxsSSJqtK4OXmLEfMRM5G+vNRc6ivz9bA3AuHFctEDHTOHg7158N7HZ2zrcYtOdZI+iyN86Ec65slJIrk7+nDJSvq35zq/fjeeLmcDYd6WxqnJmdmlYzWsOKZNjRZMp8dw9T+K5UTsZzzF8TQZ5/53QBIZA1YPXIGrB45A85n5WUdAAAAAIAPYiIGAAAAADVjIgYAAAAANWMiBgAAAAA1YyIGAAAAADWrbE28VGWW9apprDvKW6emgtRVVw6qKkhbcuzBQFeQfq+jKzh7DVNraQyaup5zuxgv9TUjIsZZ7+P9ua4Hf8tUkL4zNtX2Q/01h6euglR/T6Clm/2jba6NiIhiaKr/TdVvLNTXrb9u+5nlHHn69P0uRi5numbc5ax1WrFMxInJ2YbO2VutPTnWKfS2lllfS8etrhy7SM4GS1b9vjXRldpvDvX+3x/orzk60dvSsjnT13brtKrq1+RsYtafkDm7JnKOLGq1i6G+nlrH+t7TPtaP5daJz9rIZO1hT2ftTZO1lqm5nmV9Xzhs6br8DbOUS2V9fWkq+l19/Vjv43dPdQ7vn+qvOT3WWeuYc9U+1vvYPvGZSANzn3JZy+o8Xodnml4Gwz7Tls3Zsf8ZxWxT52zfLG/0VlNfg7aivjTv19LX55Zbd6aCe8+H5rOjq6h/89Q80471fiyOdOZ7x0vm7Fh/hojw9+/SLhMh8muWauEnYgAAAABQMyZiAAAAAFAzJmIAAAAAUDMmYgAAAABQMyZiAAAAAFAzJmIAAAAAULN66+tzjpiJ+vqBrtlsHetq5M6R3oXpka7WjYiYb+jXHnV19e5bTV3P6YwWug70ZmtHjm01dI1mYaqFIyKGpur34UxXkN4bb8uxt050BemDQ11BGkd6/9tHpoL0yNRqV1SQJltBqq+rXIr3vA5NvznLqt881DlrHuka4K45d9PDipz1dM5OOyZnhb62y9DXy2ChK6Xfb+nr2uWsiqv6fTTTdcbvjnTu3znVY/smZ8Wh3pbOoT5unUN9vNtHpp4+ItKpvq5s1a/K2TXhs6avp+axHuse6nv2dMs/shc9ncVRqyfH3i70eViY5SAOZ/pr3uvo63ezYWrWK0xKfQz2pzpr90Y6+++d6Gfh0YH+ms0DvS2dA5c1XVHfPvDHZulnmqzVtm+3FrJZJiKPzDPtcCjHugc6Z7NNv0zEoqszMW7p58+7SV+Ds1J/zaMNvezKvbbOWb+5mpwdTPVz+8FIP5tcRf3wkf6a7X19X+scyKHoHZilrw788z4P9LWjlgd6POg/kz8NPxEDAAAAgJoxEQMAAACAmjERAwAAAICaMREDAAAAgJoxEQMAAACAmjERAwAAAICa1Vpfn8NU/ZoK0uJwIMe6+6aCtO/nmYu2qSBt6grSB+ZrTue6ZvOor6t+b3R1VWavoeufi4ruWVeZfzzTlagPh7qyd/9Ij80O9HHrPtLHpruv96P3SFfUNw/0dRMRkU/1taOuxceDz15Buj5yhKoqHunK1saRydkjk7OePucREaXJ2aihv+5B1lW307m+dR2Odc62O3r/N5q+ot2ZLsxSGFOds8Oh3tbjYz2W903OHurj3X24bM70/SkiIg9N1a+onX48eJ1zFhGuVtsck+JIXxOdh/rcbvT8M81lLRf6Gh2Uujr6zam+bx9u6mv0HVNf33rZg7AAACAASURBVGvqZ1qVWam352Sij93xUB/zkTkfjX39DO0+1DXnNmsPzDP94FSORUTkwZLPtOssZ1m/n80zrTjWx8rlbGGWL4qIKJtmyZakczZZmOUepuYZYnK20dHPrW5TXw9F8p8dJwu9j4OJfm4Ph+a4HunXuYr67gOds94D/Qzp3tf1/cWhz1lplvqRn68iHi/T9Yz4iRgAAAAA1IyJGAAAAADUjIkYAAAAANSMiRgAAAAA1IyJGAAAAADUjIkYAAAAANTsQvX1KaXvRsRJRCwiYp5zftW+IIeuIB3rmsl0rGsm2w90HeZGp6Lqt+F2X792Mtf1nAdjXcF52tcVufd6W3Ks1dBVmYVu9YwIX6c/MXWpk4E+runY1Pnu6+PWu69rPTfumwrSB6ae9vBEjkVElKba1tdqP3sF6So9U9ZMzsqJqXM91sey5XLW8jnLpqI+Ql/Ak7l+3cDkbNjX+Wx3dW10s6mvwVRR9Ts3OZuZnC1O9VjjWI91912dr97W/vv6mu/c13Xr6SI5u+Sq31V65mdahKzgz1N9rWXzTGu29f11w9TTR0TkQl/7qTTLtcz0e85G+tp+aLK239PXWqNhli2oyFpparUXEz2WBnqsfayPTcdlzTzT+vd0rXj7ga5Vj6OKWu3nIGuXmzN9nPOJPpaNlr6/9poVOUu6Tt7lrDDX53SgXzfc1PkcdPU5T01zzitylufmGEz1WONU72PvWGepc6DfzlXU99/Vn2maD/RzKx/5Z5qbk9icLeEy1hH7hznnh5fwdQB4ZA1YPXIGrB45A4I/mggAAAAAtbvoRCxHxL9JKf2HlNKXLmODADwVWQNWj5wBq0fOgDMX/aOJP5VzfjeldCci/jyl9H/mnL/x5G84C9mXIiK6sXHBtwNeWDZr5Ay4FDzTgNUjZ8CZC/1ELOf87tm/70fEn0TETzzl93wl5/xqzvnVVui/2AtAq8oaOQMujmcasHrkDPhPlp6IpZT6KaWt7/93RPzjiPjWZW0YgMfIGrB65AxYPXIGfNBF/mji3Yj4k5TS97/O/5pz/t8rXyUqVPPcVImf6qrXomkqnhu6RvMx/ePuYmFqpU1153Soa0bnff01T7u62j6bWu1Kpa4LLcZ6P9pD/bqWqSDt7puK+ge68rP3nq7kbTw4kmPZVK5H+AppVYe7hp49aypnprI/D0dyrNjX56Cb/BoKKW/qr2tqs5sjs4SEqX2fb5oq+Y6uxJ+2lq93TguXM5MXk7P2sX4/l7PeA32Ou+/pivrioT7HpbkHR/gK6ec6ZxE6a6biuBya83Cgr/tWRdb6C70MSjHTP1WwWTvRY/O+Hlt0dUbLC3zySKY5ujPRx6epD3m0j3Weuvv6+u090M+Xzvu6Oj09OpRj5aAia9do2RWhvpyZqv/iUN/vqi7P/kIf58ZEf5ZrDvVXnp7oa3dmnmmLjh4rbX29HoqIKObmmaab3ZfOWe9An8fu/eUq6uPAPNPMPTii3qUglr4d5pz/PiL+y0vcFgBPQdaA1SNnwOqRM+CDqK8HAAAAgJoxEQMAAACAmjERAwAAAICaMREDAAAAgJoxEQMAAACAmjERAwAAAICaXWQdsUtlO/sneg2B0qwjVbWKWM+8Z2PSl2OtgT5skx09t51tujVX5FCUleuhacks4dMwa0G0BnqdhPax/qJdsxZE56Fep6rxUC+alM16H26dkIiIPHfriF2LNVcul1nTya0F5XKWKo5jp9Tv2RjrnLVP9Zpf412zVpj+krHo6gzatY0q11wxYy5nQ33sOiZnnX19XbceujWqdM7cOc4jnd2IetdcuTZKfUyyuy2ZNduqstaem2faWK/n1z7RD6DJjsuaeabpZcuibFUEykh2DSc95rLWPtbHrX2g74vNR3qtsDjSeSpP9OvsmnwR12ldvnqYTLjnf2mWaytKn7OGyVlvpNfya5305Nhs26wxZtYRm3d1li6yXl+xdM709dk+1g/K1oFb883kxeXMrBVm1+OLsPfvy8ZPxAAAAACgZkzEAAAAAKBmTMQAAAAAoGZMxAAAAACgZkzEAAAAAKBmTMQAAAAAoGZrU19vK0hdNbKpVS5NbXZERJrr+srOSFfIto51P3Z3W1duz0wF6aKzXK12vkCtdmOqj3lzqI9561hXwjYPdV1oOtZ9sdnU+bqKeltPH/HiVmcrS+Ysj3UHe3GBnLVG+us2TjbkWGdf123P+zowNmemUrsyZ67qd2xyNtLHpnGs70GNI5clPWbrfM0yIfYeHEHOnpWpRi5Ne3nKpnM7IgpTydww99Gueaa1t3TWFhv6eeeztvz3gF3Wiqm+FzUH+llRDPS1n05MZsxSA27Jh3Lq1i+oqKcna+e3bLW9X60jkrkfprHOWfvULIu0oXPWNTkrO/p5l5vumeYfammur8Niqve/GJqcDc1nuYHOWTnUJ8R9NrHPrRrr6avwEzEAAAAAqBkTMQAAAACoGRMxAAAAAKgZEzEAAAAAqBkTMQAAAACoGRMxAAAAAKjZ+tTXO8tW25s65oiIcBWk5rWNU12zWfR7cqzd7cix3NHV9rmx/Hw5lfrYpamuOk6mvj+ZynFb2etq6Kf6/ew5psr38rhjmZer246ISAu9NEEyNc7JVEO3ejpnza6u+o12Sw7lhqnzvUDVb5hK8TQx172r5TVZKl0NvdkWW5tNzupjapWzqWd//FLzTDP32GTu28WRfm412iZrLVerrZ93lcxyGcld3+Ze47K2bJ6uS3X2C2vJavsIf27dci3J3LeTyVJhnluNlh6LC3x2DPPZMWYmS2bMLdvgPgO6z+rPw+dDfiIGAAAAADVjIgYAAAAANWMiBgAAAAA1YyIGAAAAADVjIgYAAAAANWMiBgAAAAA1u1B9fUrpcxHxP0VEIyL+55zzb1zKVj0LW0FqqmzjAhWkpuo2TOV2MhWkqdB1vukCFaTZ1Xe642NqeUvzuqXrfKnOttYia0pFFXM25zYPTAZNztJQ122nprmtNUzOCl9Rb7mqX3Pdu7pxe/96zut8r8pa5yyi8vy5c5/dUibuWnOV2yZPNmsVy0E47plm99/lYsnjxnNrOdc9Z245F7fEhPt85JZMWjpLxUXq681+uONj8sJnwKdb+iyllBoR8S8j4p9ExKcj4gsppU9f1oYBeIysAatHzoDVI2fAB13kjyb+RET8Xc7573PO04j4VxHx+cvZLABPIGvA6pEzYPXIGfCEi0zEPhIR33vi/98++7UPSCl9KaX0RkrpjVmYH70CUCqzRs6AC+OZBqweOQOecJGJ2NP+YOoP/EHOnPNXcs6v5pxfbUXnAm8HvLAqs0bOgAvjmQasHjkDnnCRidjbEfGxJ/7/oxHx7sU2B8BTkDVg9cgZsHrkDHjCRSZi/z4iPpVS+uGUUjsi/mlEfP1yNgvAE8gasHrkDFg9cgY8IdkayqoXp/QzEfE/xuMK0q/mnP+Hit//ICLePPvfWxHxcOk3v3zrtD3rtC0R67U9V70tP5Rzvl33mz5L1j6Us4irP2ZPWqdtiViv7VmnbYm4+u2pPWs801ZmnbYlYr2256q35brlLOLqj9mT2BZtnbbnqrdF5uxCE7GLSCm9kXN+9Ure/CnWaXvWaVsi1mt71mlbrot1OmbrtC0R67U967QtEeu3Petu3Y7XOm3POm1LxHptzzpty3WxTseMbdHWaXvWaVs+7CJ/NBEAAAAAsAQmYgAAAABQs6uciH3lCt/7adZpe9ZpWyLWa3vWaVuui3U6Zuu0LRHrtT3rtC0R67c9627djtc6bc86bUvEem3POm3LdbFOx4xt0dZpe9ZpWz7gyv6OGAAAAAC8qPijiQAAAABQsyuZiKWUPpdS+r9SSn+XUvryVWzDh7bnuymlv0kpfTOl9EbN7/3VlNL9lNK3nvi1vZTSn6eUvnP27xtXvD2/nlJ65+z4fPOseraObflYSukvUkrfTin9bUrpl89+/cqOz3VCzn7g/dcma+Ts+bJOWSNnldtCzq6pdcrZ2fbw2dFvD1k7h9onYimlRkT8y4j4JxHx6Yj4Qkrp03Vvx1P8w5zzZ66g3vK1iPjch37tyxHxes75UxHx+tn/X+X2RET89tnx+UzO+c9q2pZ5RPxqzvnHIuInI+IXz66Vqzw+1wI5e6rXYn2y9rRtiSBn186aZo2c6W2JIGfXzprmLILPjm57Ishapav4idhPRMTf5Zz/Puc8jYh/FRGfv4LtWAs5529ExP6HfvnzEfG1s//+WkT87BVvz5XIOd/LOf/V2X+fRMS3I+IjcYXH5xohZx+yTlkjZ88VsvYEcvZ05OzCyNkT1ilnZnuuxHXL2lVMxD4SEd974v/fPvu1q5Qj4t+klP5DSulLV7wtERF3c873Ih5fUBFx54q3JyLil1JKf3324+faf5ybUvpERPx4RPxlrOfxWTfk7HzW7VoiZ9fPumWNnFUjZ9fPuuUsYv2yto7XElmrcBUTsfSUX7vq6safyjn/V/H4R96/mFL6b654e9bN70TEJyPiMxFxLyJ+s843TyltRsQfRcSv5JyP63zva4ycXT/k7Hpat6yRM4+cXU/rlrMIslaFrJ3DVUzE3o6Ijz3x/x+NiHevYDv+fznnd8/+fT8i/iQe/wj8Kr2fUno5IuLs3/evcmNyzu/nnBc55zIifjdqPD4ppVY8DtLv55z/+OyX1+r4rClydj5rcy2Rs2trrbJGzjxydm2tVc4i1jJra3UtkbXzuYqJ2L+PiE+llH44pdSOiH8aEV+/gu2IiIiUUj+ltPX9/46IfxwR3/KvWrmvR8QXz/77ixHxp1e4Ld+/YL/v56Km45NSShHxexHx7Zzzbz0xtFbHZ02Rs/NZm2uJnF1ba5M1claNnF1ba5OziLXN2lpdS2TtnHLOtf8TET8TEf93RPw/EfHfX8U2PLEtPxIR//Hsn7+te3si4g/i8Y9sZ/H4Oz6/EBE343Gjy3fO/r13xdvzv0TE30TEX8fjC/nlmrblv47Hf/TgryPim2f//MxVHp/r9A85+4FtWJuskbPn6591yRo5O9e2kLNr+s+65OxsW/jsWL09ZO0c/6SzjQYAAAAA1ORKFnQGAAAAgBcZEzEAAAAAqBkTMQAAAACoGRMxAAAAAKgZEzEAAAAAqBkTMQAAAACoGRMxAAAAAKgZEzEAAAAAqBkTMQAAAACoGRMxAAAAAKgZEzEAAAAAqBkTMQAAAACoGRMxAAAAAKgZEzEAAAAAqBkTMQAAAACoGRMxAAAAAKgZEzEAAAAAqBkTMQAAAACoGRMxAAAAAKhZs843a6dO7ka/zresX1pu0L/Mji4vZz3kX7jU0PNgHIOY5smKTsjleG5yVneWLnJWl73ul82ged3z4iQOHuacb1/1djjPT9ZWkacVZc1xsXCZsTl8vp93PNMu2bLPraWzdBU5WzITLmdL5vO6cDmrdSLWjX78g/TZOt9yefbi1j9ITIV5XaNh3s68rljRDy7LUg7lhR6L7F63WG5brknQ/jK/ftWbUOl5yVkyebEZbJi8uAy696tgHyImZ2Hy4jJoc2byeV1yFhHxb/O/fvOqt6HK2mVt2eeWzYXJU6u13OsukDXL5Wk2X+51c/26XLoPj9cjhzzTlrDsc8vlrKk/jqd2W39N9zqXwapv8LtJk8lEuLyYDNqcuew+BznjjyYCAAAAQM2YiAEAAABAzZiIAQAAAEDNmIgBAAAAQM1qLeuoXdVfRlz2Ly+33F+q1H95OTod/TrzFy6jeYG/2Oz+MrEr65jO9OsmE/O6qR5zfxnTlg+sz1+4xFNU5Mxmadm/oOyy1DGvM/nMF8hZMtdomptr2+Qsu5xNTM5cBp+Dv/T8QqvKWtOUZ7jnVq+rx7p6LEzWcteMNS9QIrAwWTPXd+GeaWOTtdFIj7nX8bxbb0sW20T4LBXm2RQuZxs9OZZ7+muWHfNMa5n9cMVyEZFszvT1myY6Z8VwLMeyHRvqMfcMdTkrlyyWWwF+IgYAAAAANWMiBgAAAAA1YyIGAAAAADVjIgYAAAAANWMiBgAAAAA1YyIGAAAAADW7/vX1poLU1WZH+HpsW+e7sSHH8qauIC039PuVHX0qXAVprqozdrXaU11X3RjpStA00DWjtp50MJBj5ci8btnK7QiqgC+Ly5mpzI6ISF1TNW8qe2OrL4dczuZ9nbNFV98TSpezim9ZJXMZFjZn+tpunOhq7OLU1Pme6pzloanidrX3rgY4gpxdpmK5pVMiIgr33NrclGN5W2dtvq2/5ryvsz/vmay19f0kV606Y7LWmOjB5khfw81TU7l9pLNWnJhnmsmhrcufm5r9CLL2LJb8fGiXTgn/3ErbW3JssWNytqOfk7NNnft5T+9j2VpRzqb6GmyO9Atbx/rabh6bz5VH+h6Uj0/lWOlq7ytiVme9PT8RAwAAAICaMREDAAAAgJoxEQMAAACAmjERAwAAAICaMREDAAAAgJoxEQMAAACAml2P+vplK0h7pho7IopNU4+9qytIZzd0ff10R9eezjb1vHfe1WOlaQevrNU2DZyNmasg1XWh7RO9/+0DU7l9oOtZiyNdQepq713ldkRF7TY1wB+0ZEV90fc5Szvbcqzc1ZXa05smZ7v61jXtm5yZTXVVv1FR9RtLV/3q49o51nlpH+odae3rseLwRI6Vx3osRrr2PoKcPTNTUV+09TWRzDMrIiJ2ddbmezprk1v6fj/Z0ds629TBcLXaC9cOfqH6er2tjZG+Z3RO9AZ1Dk0OH+jj1tjX5zEfHcux0rTeR1TU25O1D0r6WeAq6gtTQR8Rkfd25Nj0ts7o+KZ+z/GO3laXs4V5pi3cyjIXyFlhLsHmUGewfawz2D00GXyoM9g098viwCxJ45aXiIjSfbS85Gp7fiIGAAAAADVjIgYAAAAANWMiBgAAAAA1YyIGAAAAADVjIgYAAAAANWMiBgAAAAA1W5/6+hVU1BemNjsiorylK0gnd3R19uimPmyTXb0fvupXDkXZMpW0F6kgnep5eNO0VbeP9es6puq419c1o+2OqZJ9ZKr9XeV2ROSxrtOPfLkVpNfCCirq041d+5bz2zqH47v6645u6mtpcsPlzGxLT2cpN81Y4Wuh00Jvj6/61df2+ESPdU0tb69varrbeqxhrg1zG3nM1Nu/sNX2LmstfR5sRf2ez9rsrs7a8CV9jx3d1NfT1D7T9Plb9PRVY59pVd8edlmb6rHmUI9NTvRYZ0vfFzc2TA47+v7VLPTrqnbf1du/kNX2yy4FsaUfFPmmz9n4Zf3a4V39nqNbLmf6/VzOSpOz3DJ37solWcz9y+SsYZ5pLZOz6Za+J2709NfcaJv3c/fgijyk7JZNMsd1iZzxEzEAAAAAqFnlRCyl9LGU0l+klL6dUvrblNIvn/36Xkrpz1NK3zn7943Vby7wfCJnQD3IGrB65Aw4n/P8RGweEb+ac/6xiPjJiPjFlNKnI+LLEfF6zvlTEfH62f8DWA45A+pB1oDVI2fAOVROxHLO93LOf3X23ycR8e2I+EhEfD4ivnb2274WET+7qo0EnnfkDKgHWQNWj5wB5/NMf0cspfSJiPjxiPjLiLibc74X8ThwEXFHvOZLKaU3UkpvzMIUJwCICHIG1IWsAatHzgDt3BOxlNJmRPxRRPxKzvn4vK/LOX8l5/xqzvnVVnSW2UbghUHOgHqQNWD1yBngnWsillJqxeMg/X7O+Y/Pfvn9lNLLZ+MvR8T91Wwi8GIgZ0A9yBqweuQMqFa5jlhKKUXE70XEt3POv/XE0Ncj4osR8Rtn//7TC21J0nPC1NHfDSm2t+TY4nbFWhCv6LXCBnf1oRnfMuuR7Oo1BOabej2dbNaCSG4tiIr1jbJZcyXMOmLFUK/NMTVrQcw29evmXf1+/ab+ml05Ur0WRFGatWym5oVlvWuMXXrOxPoZdk2+rs5ZMmvyze/q9fgiIoav6LXCBnfNOlo3zZoju/q8Lrb0uUs9PdZsmdelipyVej9mU5OlkVlr6Mhkqa/fb97Rxy039D3P5axRkbPSrBW2bmv51ZY1ty5fzxztXZ01t05YRMTgIzrDNmu39Pmd7ZpztDWXQ82uXtOq214+a6VZ32g60cd8MtLP9NmxHpubtcIWHf26XOj73kap97FpnlkREWlhxkdmTam5PlersBbPtL6+38WeWUf2JbMYZUQMXtFr8g3v6utzfNN8Pryhz09jS2ep39MfZNpN8zUrPjvOF/q6n8zM5+OhWa/wROdz0dPnsTRrheVC3/P6Cz0/aM/9s6eY6WNnn3dqzBzu8yzo/FMR8c8i4m9SSt88+7V/EY9D9IcppV+IiLci4ufP8bUAPB05A+pB1oDVI2fAOVROxHLO/y70GtyfvdzNAV5M5AyoB1kDVo+cAefzTK2JAAAAAICLYyIGAAAAADVjIgYAAAAANWMiBgAAAAA1O09r4uVSFaQtvSlpQ1eQljd0ne/4JVNdGhGnL+v3dBWkk1umEn1X14z2tnSNc7+rK0h7Lf01i4qq37mp1R5OdZXoYKQrQSfHemzR1ce0bJkq/dCVp6nUVbIdUzEaEZGm+ti5GuCcxZg/3OtDLAeRmvr8FJt9ObbY0zkbveSKzyNOX9K1tKO7+nXTW7oitrihs7TbH8uxnZ4e6zb1tdIsfKX0bKH3cTDT1/bRSB+7QV+Pjbr6a5YN9/01c59d6Ptlb1qRs4k+H8lV/U7Ncb3uWXPPtE19T5vv6bHhS/q8R/iK+tFLpqL+pj6/3Rs6M7ubQzl2ozuSYxtN/byrytrUZk0/m/ZH+vo+2tBV82OzfE5umHOczfIwM1NtP6nImlsOYqbvYcvUaq8VlTO37MqWztJsTz/vhnf0Z6MI//lwdEcf0PK2vu63dnWWbm8O5NiNjn7dVktfK83kczYpdc6Op/r63R/rnD3s6WM+aumvmQuTM/MZtzD3g8bYL1HQGOn7Xprq85jN0hQKPxEDAAAAgJoxEQMAAACAmjERAwAAAICaMREDAAAAgJoxEQMAAACAmjERAwAAAICa1VtfnyJS4+mVmIWpiE1buvJyektXZY5u+90b3dYVpOM7utqzuKUrQW/vnsqxO309drurx7aaukazur5eV5AemgrdByNd7Xm/q8eOWqaeNJmK+oU+Fw1Ts98w2xkR0RqZWm1TuS2rfq+DFJEKsUyEqfrNLme39bUyvKmvsYiI8S09Nrmtq5o7t3T99Z0dnZdXNo/06zoncmyzoa+HVuGvh3Gpr1GbM1Oh+25nR449bOrXTULX3hcL/b235kSfx+bALwXSHuhrJ01M1W/F8hNrLyX5TEs9fR7ytj5ek1tm2YKb/nun41vLVdRv3tb12K9sH8uxj/YP5djdjn6dz5q/JiYma0dznbV7PZ2nt9u7cuy9xpYcm2adi2Jm8jRaPmudganVdpXbc3Fcr0N9vctZxyzlsa2P5WRPv25ckbPJnj5oi1v6fndjTz+3Pr6js/Tx/r4cu9PWz7Sdhn6GFhX19bOsr9GDub5/vTfRS9282dqTY28X+pgOSn0exzN9P2iO9Hlsn/hld7rH5pk20sdV5swcbn4iBgAAAAA1YyIGAAAAADVjIgYAAAAANWMiBgAAAAA1YyIGAAAAADVjIgYAAAAANau3vj5ShKggDVP1u9gxVb97urpyvKcr0R+/Vtdlpj1TUb+na3l/aPtAj23oCtKX27q6dKvQlbSt5Kt+x1lXtB4tdNXvO50bcqzXvCnH3jJ1+gcLXQM8MRX1zaE+j+0TvX8REc0jXXuaTnVlc5qKClrf+LoWUqRIzadHO/X0OV/smKrfXX2rmNzwOZve0AetdUPn7KVdXcv7ye2HcuyHN/TYnZbO7m5DXw+Nio5nV/X7aKGr5u+Z2uxuY7lq9/tz/f21yVgvX9Ac6Nd1jnQ+IyKaB0vmbKzPf1yDFSRSRKTG049b6upn2nxbj0129LU03fVZm+3qg9a9oZ8jrqL+U9sP5NiP9PTY3ZZeRuIiWZuarO2brN1oDuVYx1Tml1kf83fn5lyNzDl2WTv2H8va+/oeno50vkNW2/trah2klCK1nv2ZNt/S52C8q8/dRK90EBE+Z/0dnbOP7uhMfGrrvhz7RFc/0z7S0p85dwt9zV+kvt4903Ya+vNhy7znIutMvDnV2zIzS0FMTsyz0NxnIyLa5toplsnZXOeMn4gBAAAAQM2YiAEAAABAzZiIAQAAAEDNmIgBAAAAQM2YiAEAAABAzZiIAQAAAEDNaq2vT8nUand1HeRiW1eUT7b1XHK67bdnsa0ra3e3R3LsI5u6gvRH+7rO90e778uxV5q6gnTb1tf7judx1qf4sNSV064yv2E63KelrgQdm4r68dDUAG8vNxYR0e3r66phrrkYitpXU0G6NpJZJsLs83xTn5/Jlt7vmV6VICIiSpOzvS2ds49u6iUdPrlhKrU7ugb4FVv16675qvp6fR96ZHLWL0x9uzFe6FwPJvp+ebqjXzcztdnuPhsR0dnS11XrQI8lU2N+LaQU0RK56ejzMO/rrM02TdY2/XUYW+aZtqmrrD/a11lzFfU2a+aZtluI5UHiPPX1+lrcb5zKsW6aybHSVLgPFvo8npjlIA633Dk2n1v6PmuLvt6elrnm5DIL+rCsjxTys2PuupyZ+51eFSnmFTlLffNM65ucbeicfbyjlzf6ZNvlTH8e3TLLG7UqPspMzCHYLfRzu20+k7pK/MOZXobgcFOPPTSf8eYmS7OqnG3o66rRdjl7+j6mdIH6+pTSV1NK91NK33ri1349pfROSumbZ//8TNXXAeCRNWD1yBmweuQMOJ/z/NHE1yLic0/59d/OOX/m7J8/u9zNAl5IrwVZA1bttSBnwKq9FuQMqFQ5Ecs5fyMi9M9MAVwKsgasHjkDVo+cAedzkbKOX0op/fXZj59vqN+UUvpSSumNlNIb06z/DgYAqTJr5Ay4IZs2qQAAIABJREFUMJ5pwOo9e85Kcobn17ITsd+JiE9GxGci4l5E/Kb6jTnnr+ScX805v9pO3SXfDnhhnStr5Ay4EJ5pwOotl7OCnOH5tdRELOf8fs55kXMuI+J3I+InLnezAESQNaAO5AxYPXIG/KCl6utTSi/nnO+d/e/PRcS33O//Ty/U1Y7ZVf32TAXphq6EnG/4CtLGpqn63dD1nK/0dF3oxzuP5NgnWg/l2F1Tu7tb6Lr4hqnEjIiYZl0TvFUuVyE8zrqW93Cmq7r3N/TYqK+/4zXf0JWn7vxH+JroRluPLVNBugpLZS2lSC1R9Wv2ed7Tx3nRWz5nzZ6p+u3pqt+Xuzpnr7R1NfbHWjqDrzT0+20Veh9byX/PapL1Pm6Ux/a1yqDUtbwPupty7H5Prycw6OkaYJezuTn/ERELc49umWtOLrNQs+WfaUnWgttabZM1d6wXPf0siIhodnUX+Y2ufqbd7ehr9G7L5NBU1L/S0EszbBV6/1vhrwmXtW7S+V6Y7zsflzoXdzo6T+/19Bo5Rz39vHOfaeZ6UyIiYtE1x26ZrNX4TFs6Z2GWZDH7vOjoc77ompx1fM7aJmfbHf3HKPdaermOuy1dbf9SQ+fzdqHzsFOYpQ5SVc70PraS/uw4y/p+cdjSmbjX2ZFj75ixffP5YtHVOVuY1Ysej5tnvvh8FRFLPdMqJ2IppT+IiJ+OiFsppbcj4tci4qdTSp+JiBwR342If/7M7wzgA8gasHrkDFg9cgacT+VELOf8haf88u+tYFuAFxpZA1aPnAGrR86A87lIayIAAAAAYAlMxAAAAACgZkzEAAAAAKBmTMQAAAAAoGZL1dcvz1SQmjpIVzNqGp6j7Ppa7Xbb1H62dQXpTVNBetPU0O+Z6uzbDb2tO4Xusy3CV8+6qt9G6ArSsd0PM9bWx2aro+uMH3YWcmzR0cemqoK0bOvvNeRLriBdGynk9rt9tlW/Lmdtn7NeR9fg9lv6mthp6rptew0WOru7hd7HbbNoaKOivn6W9fUbobdnWOh7gruX7Lb0sem3zLIUbb2dpWm+XrT9fcbmrGmyZM7HteCy1tT7VprjudCN01G2fNa65vxuNPV1sWmq5ncb+p6+W5jlUUxFvXumVelkcw8LnYvdbO4LZh/dsek29b2t2dLnwuxClK2KrLWWy5pakqXiI8R6SBEhlhfJDfP50BzL0pyDXJGzZlPX27ucbTX0NbhtnlsbpqJ+q9A7smHq66u4evtZ1s+tjUJnYqPQWXI565mcNRr6XLhzvLKcqeUgzNtd86cgAAAAAFw/TMQAAAAAoGZMxAAAAACgZkzEAAAAAKBmTMQAAAAAoGZMxAAAAACgZvXW17sKUlf16+pJXQWpqYSPiGg2db1su6HrQrumnrNv6jn7yXzNpHfE1YhW2Ui6vtRV27tt7ZvK4o6pWW0V+ngXDVOrbXbfVdc+fq3rDNXX3DIVpNeCOR7ZfFvGjUVFzopCj7fNee+YnLWTyW7SdbYdk4eqinrHZbRjvm7LbGvL7KO7B7XMMU2Fqfp151Hct7/PXh8qS2Fy9jww+5bdbruxiks0JX0Om+bct8x9uxH6a7qxVqxmCRCX05YZW3o/zHPLHdMw5yKbe6K7bh6/1g6/eFaRs8q39M+8y+auz3WzbM6WVvO5WAUiDQAAAAA1YyIGAAAAADVjIgYAAAAANWMiBgAAAAA1YyIGAAAAADVjIgYAAAAANWMiBgAAAAA1q3cdMSfrtQDsMgEXWEIg20UmLt/iGi1C5bZ1JftR87l4Ya0iZ2Ypncdvqc/tvNTfC5qZRQKXvT5nodcEuohF1gdhZsYWZq0lux9mcT13TF3OUmkyWHGfNcuhvbgWJmtu+Sl3LBcV6yaaczhd6GtmUrb067J+3dQsauXWqexkne2q9fxmWWd4YnOo33Nm9nFsjs3MHNNscpjceazIkr0+zP09q7HrsAxTjojy6Rua5vqAFCaDZuk8f34iYj43mVjo68xdS4Oyo8fMtTs2eeiYsaLic5zL79jkbJDNfpRmXVvzvHfPu9Jk0CzFGclcGxH+2olS7/8yOeMnYgAAAABQMyZiAAAAAFAzJmIAAAAAUDMmYgAAAABQMyZiAAAAAFAzJmIAAAAAULN66+tdBamrGZ0tWUE6q6og1fPQ4VzXbJ4sunLsuNRjQ1PPeZJmcqyIqRxrJV3dGRExyfrrnpgK0qGpUnVjpws9Nprr6tbFQp+LhjnH7tp4PK73Mc11t2l53at+F0/fN1v1O9U719CXYBQVOZtO9TXqcuaupcNFX481TuTYRprIsYiRHGmZmvkIX/V7Iu55ERGH5n7h9tEdm7HJ2Xym96N5FTkT1+m14bI20we0MdHHqzHR56iYVmRtYuqxZ/qaOZr35Nj+YlOPNU7lWDcN5djCZa2ivt5V1B+aavdH5YYeM/t4ONPHZjDT96+Fue+19GM5GuY+HBFRTJfLWjaV2+svy5yFy9nYfHY0j4Ji7HM2m+rPckdTfU9/NNP39EdtfQ3eXOictUKPzbLOWSNV3EvMUgj75rOsvV+4sak+NicTfe9amPtlZ6L3sTG5QM7MNZeXeKZV/kQspfTVlNL9lNK3nvi1vZTSn6eUvnP27xvP/M4APoCsAatHzoDVI2fA+Zznjya+FhGf+9CvfTkiXs85fyoiXj/7fwAX81qQNWDVXgtyBqzaa0HOgEqVE7Gc8zciYv9Dv/z5iPja2X9/LSJ+9pK3C3jhkDVg9cgZsHrkDDifZcs67uac70VEnP37jvqNKaUvpZTeSCm9Mc3jJd8OeGGdK2sfzJn+c+EAnmrJZxpZA57Bcjkr+eyI59fKWxNzzl/JOb+ac361nfRfYgSwvA/mTP/lcgAXQ9aA1ftAzgo+O+L5texE7P2U0ssREWf/vn95mwTgCWQNWD1yBqweOQM+ZNn6+q9HxBcj4jfO/v2n53uZqSCd6j5XW/Vr6kkbproyImI61lW/xxP9HZh9U0H6/mxXjm0X+sfrRTqSY+Ps6uvlUEREuIbOw1JX77632JFj78/02MOJric9NRWk5Uhfim1TJVtVQequHVd7K6/T+j171nKOvHj6fhdjfS01R3qfmyNdEdsYVVT9mpwdjPVPFN6fbMuxWy1d2dt3vcRxIEd2Tc4a4a+Hadbf09o3tdnvznRp2P2Z3v/7ky05djTS965szmPTnMfmqCJnY3N8zL39Wucs4nHWxH2kMPvtstYw98Lm0GdtYl67P9LX4b2evqffaOoa+q5ZdmVhvs+7a/6aQqNijZBZ1vvoKuq/N7spx+5N9XP7wVg/05bOmjmPzZGvmW+MzHNrmayZmvIVWDJnuha8mLhnmj5WreHyORuf6tcebupn2rtdnbPtps5EO+n9mGZ9nR2Zz5yt5O+9Y5OzQ5ezqc7Z98Z7cuzeSD/vjoc6Z2ngciaHojX0131zYLJkcqau02xydp76+j+IiP8jIv7zlNLbKaVfiMch+kcppe9ExD86+38AF0DWgNUjZ8DqkTPgfCp/IpZz/oIY+uwlbwvwQiNrwOqRM2D1yBlwPisv6wAAAAAAfBATMQAAAACoGRMxAAAAAKgZEzEAAAAAqNmy9fXLyRF5Lqp+Xa32wFSQDnQ1dvO0olZ7YKp+B7qe8+2urrrtN3R1dpF0Le046/3YLXQHp/uaEREzU236aKFred9esoL0/ZGp1T7VFaSFqyAdyKFoDSqqfof6uspTM7ZEBenayDliJupVXdWvqWttnerrs3Xqv58zOzE1uH2Ts7bOWa9hqmWNQamXUNht6AutqlLbVQjvm5y9O9X19f/v8JZ+3amuQT4Z6Jw1TvR2mhUBol2Vs4HJkrnm1DIL10Y2S7KM9bOgeaqv386JXlZkclLxTDvWWTva0LXaLmudQj9/y9Dbc1zq97tI1pZ9prmK+r8fLJe1wYnOWvPIZO1EDkXnuCJrJ/q6yhMzJrJ2DZ5okXOWnx2zyVnjWN97OscmZ8f63EVEzLZ0zo5Nzt5p62upWejz7q75w7Z+hm7Z+nqzDEJEjLM+PkcLs48T/Uz77qn+XPneif7sODrSOWsf688f7WN9dbePfX1/MTBZMtecXpLlAvX1AAAAAIDLxUQMAAAAAGrGRAwAAAAAasZEDAAAAABqxkQMAAAAAGrGRAwAAAAAalZrfX3OOfJMVJCORvJ1jRNdwdk91BWb0x2/e/NNXQk66Oq6zLebuoK0MBWVk1Jvz0G7L8d2GvrYXKS+/mCu3/O9ybYce/NU19ffO9Kvmx3p6vDOkf6eQOdIH9POUUUFqbl2wlT9LlNBui5ymKrisT4ejWM91jHnbnJYUand1+d23NE5e7epryVntNBV+w87ut560yw90TIV3hERk1K/59FcV/3eG+t7ydunum77/pHej/JAn6vuocnZgan6PfT7n071PcrmLF/v+vocplbbPNOKI70kSefQ3Ce39HUWETHfcFnTX/e9hq6OLrPO92Chn793Ovpr+qz5e/rYZO1wprP2YGyWkTAV9Q8P9evSvt7/jrkvdg/0dd8+9EtzFKf62intUhHiuF6HJVnCLBMxMs+0I71MQmff3Cc3/c8o5j19bkdt/XUfFPqZtij1e57O9Ne839U522rqY1Mkf97npanMdzkb6bzcP9VjRwf682hjX2e+s29ytm9ydqCzEhGRTlzOTLV9KY6rOdz8RAwAAAAAasZEDAAAAABqxkQMAAAAAGrGRAwAAAAAasZEDAAAAABqxkQMAAAAAGpWa3195CwrVLOpXS2OTdXvvq6/rq4g1eNlU9fSHiZdwTk3FaQnpoL03Y6uz91q6arMZkV9/cRUkB5PdQXp/nhDjj080TWjowP9NVuP9OXWfSSHfAXpvqmnj4h0outry/HlVpCuDZczU/VbHJuq34f62u319bUSEbHo6GswN/U1cRr6Ontr7q5rva33uro+eKOp70HNwudsujBLYZjc74/0sTs60VmamYr6zkO9Ld1H+gLuPdK14e1H+h4cEREmZ3m6RKX2dZH1vSKb+0thjlf7gX6mbZh6+oiIRUfnKTf02DTr6/Bdk7WTsanE7+msdZu6or0qazObNf3cPhrp4zo40WO2ov6BPh/dByZrD/V139r3Wcuny2XtWi8VkfW9wlWJu5y1Hupz3uvpaywiYtE2OSv0NTEpTbX91NTXb+nXvW/q63stnbPq+nq9PcOprpMfjPS2To/1WPPAfD58qCvqe/dNzh6Y+8yjUzkWUZEzsQzX48Fnzxk/EQMAAACAmjERAwAAAICaMREDAAAAgJoxEQMAAACAmjERAwAAAICaMREDAAAAgJrVW1///7F3b6GSZfed538r7nHu51RmVqWksiXLYrAYaLkp1AY1jY3AyGJA9oMHa6DRg6HmQQYb/CK6H9o0DPjF9syDMZTHokTjtse0LawH02N1YRD9Ilw2al2otqXWyOVSpfJ+7nHfax7yyDpVyt9/n4o4sc+OzO8Hkqo8K+PEih37FztWRp7fkmy1Y1T1m498zWTrga/DXOvFFaRF29fSSr4uczjztzsaBZWfp36ud/q+Er/T8lWZzUZJBeksqFKd+Kd/eOofY3Hkq0s7D4Lq7KCCdO2Or/zs3/bnRvNBSQXpia8CztPLrSCtFZezoHY1H/tj2QwqnNeCymxJyk1/3kd/F5Sm/vuORr5u+/amn+v9nq/E73R8pXQqqfotCn9uj0c+L9OBf4yNw6DO92FQm33PDmn9tj+ve7cHfi77cc6KU3/bOGersB9ECZe14HEXQTVy84E/X/rBVhCSlBt+y4OU/TnTmPjvOw5q3/c3/VwP+j6jrXawbUFJ1nJQqz0bB1tlDPxY68CPdfd9tqOK+o3v+ee/e9tfl9L+kR2TSrIW1mqveNbM/MNr2qk/zo2H/tztteOcqeHP7VT41+3mJHg/NvDXreGR/56DfpD5dvA+puS9Y575815B1X7jNMjSkf+e3YdBzu75ua7f8ls2dG8H162DOGd5EOQs2nZljpwttBBLKX1H0pGkmaRpzvmFRb4fgMcja8DykTNg+cgZ8AOX8YnYz+Scg7+DBXBJyBqwfOQMWD5yBoifEQMAAACAyi26EMuS/jKl9DcppRcf9wdSSi+mlF5NKb06kf9ZHwChMGvkDLgUXNOA5SNnwJlF/2niR3LOb6aUbkj6Ykrpv+ecv3T+D+ScX5L0kiRtpb0V/2lR4MqEWSNnwKXgmgYsHzkDziz0iVjO+c2z/96R9HlJH76MSQF4K7IGLB85A5aPnAE/MPcnYimldUmNnPPR2f//rKR/X3pDV0Ea1EFGFeTpgX8I3Ua8zszJV8anma82bQTVneOBv91kw8/1pO8rvo+jCtKgYVSSFNRqp7Efa576xxhXkPqprN3zj2MtqKhv3/E1o/ng0N+hpGIUbItwyRWkyzJX1lzOphN7k2Lgn9fGvj/O7ZKcrWvLjqVgK4hmsBXE+MRX5E42gnrrvs/naTt4zsv+yiqo+m0EOeue+rF20K7bfejnunbfn9f97w3tWOuuf47LchZuPxLlrEaqvKYpOl7BsW6VZG2t8OdFY+JrrltBtfvoxN9nlLVp31/vcvDOI5fUaqcga23/8qbWnFnrPQy2Vrnnn+Ooor55d9+OFYcltdpjX9e9CtuuzJ0zJ3jMObj+R8e5meI3Vv3g/UFjEmzbEGxX0g7eV002fD6nfT9WRNe0kveOKWq+D65pLd/6rs6hn093P7hu3fXB7tz1W4Gk+0HOgm2xJKkYBy8mxeVe0xb5p4nPSvp8enTCtiT9x5zzf76UWQE4j6wBy0fOgOUjZ8A5cy/Ecs7flvTPLnEuAB6DrAHLR86A5SNnwFtRXw8AAAAAFWMhBgAAAAAVYyEGAAAAABVjIQYAAAAAFWMhBgAAAAAVW6S+/nIFvfxFsG1GI9gLoFGyF0Qv2AuiOVm3Y+2B3/toeBjtueLnMwv2gpi1/dhCe0GEe674sWgviF6wF0T3nt/To3Uv2Dvl4YEdivaYk6Q8mQaD9dkrrDLBY46OVT4O9uoouct24U/CjZHfy6990rNjo4NoHzE/o2k/2GPMx3qhnDX9aa/mINhX5Sjac8U/V527fiOX5oP59gorToLNYRTvT/dU5kyKsxbt5+ejVvo3p60ga2sjf860TvzeR91D/zZhvB7tI2aHVLSDQJVctxVlbeyPeWvgb9g99GOdff9ctR8Ee5zu+2tatIdVHpRkbUX2v6xMlLPoWAXHuWw3tkbwfXsjf760joOc7fsLULhfX8+PFX7bTOWSF5MUHLrmxB+hVnBN6xz5b9p56C+UjYfBnl8Hfqw48S+m4X58UqV78vGJGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVKw+9fWRoEYyqqCMKmIlKU2DCuih/77NQ19t393u2rHJhj/c076v7I2qfvMitdpzVv22D4N61sOhHWscBFWih0EF6amvCA7r6aVwWwS8zZxbSKRgCwlJagQ5a0U5Ow5ytuWr7afrvrN3GmwTUXSWlLNRVPXrj3nr2OescRDUZh/5nBXBNgR56OuDw3p66emszV7EEqrtJSnN/LmWgue3e+JftzsPfA/9bN1Xbs96Qdba/u+AS2u1oy1Zxn6wOfCvQ82joDr7OLj+BHkqTn09evS+Jaxcl8jaO7GEantJKoLbpuC5bR/779t66HNWrPmcFV3/vjJHOSvZJiIFxy6FOfOvXyl4nUmnfiwHNfTFILhduH1RST19hTnjEzEAAAAAqBgLMQAAAACoGAsxAAAAAKgYCzEAAAAAqBgLMQAAAACoGAsxAAAAAKjYitTXz1dBGtUxS1IKbtsYB9XRJ77OtrvvK0g7fV9tX3R95XZUQapGSQXpLKggnQQVrKOggjSqGQ3Gwhr64HiHNbPU01cjOM45qLKVpKKIanCD8yyoEG4d+Pr6VtdX/eZeMNYKclZS9aswZ75CN3r8iurkg2NThDX0fi5hzqjMrs6c1faSpGDbEU2irAW10gf+utUOstbuBNe0lq+2LxXVak+Dczi6xox8ZopRUDUf1dDPW51N1qoxb7W94veW4et9lLMjn5dG12ew2Qrexi+Ss+C6rSLaUip4jYpyFmXpCb9u8YkYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUbDXq6yNRPWUuqSANareLqBIzqOBMxyd+rOOrfhtBBWlqLlCrHVYhB/W6wVgR1LOGNaPU+T6ZSp6fqHI7qp4Na4CDLSTU9jXAUZZSc4Gq30jwGKMsRbcLcxbVDpOz1VaatflqnlN0LYgqt6NrU5CnRbKWo2taUKsd5mkW1HGH9djk6YlU9twF7y1zcE6EGQzq28MMRu8BG0v6rCWqrw+yFOWlbMsAf8PVz9lCz1JK6WMppb9LKX0rpfSZy5oUgLcia8DykTNg+cgZ8ANzL8RSSk1Jvyvp5yR9UNInU0ofvKyJAXiErAHLR86A5SNnwFst8onYhyV9K+f87ZzzWNIfS/rE5UwLwDlkDVg+cgYsHzkDzllkIfZuSf947vdvnH3tLVJKL6aUXk0pvTqR/9kqAFZp1sgZsDCuacDykTPgnEUWYo/7CcEf+qm5nPNLOecXcs4vtNVd4O6Ap1Zp1sgZsDCuacDykTPgnEUWYm9Iev7c798j6c3FpgPgMcgasHzkDFg+cgack6Iq2PCGKbUk/b2kj0r6rqS/lvS/5Zy/EdzmrqR/OPvtNUn35rrz5ajTfOo0F6le87nqufxozvl6lXf4TrP2tpxJV3/MzqvTXKR6zadOc5Gufj6VZo1r2lLVaS5SveZz1XNZtZxJV3/MzmMuXp3mc9VzsTmbex+xnPM0pfQrkv5fSU1Jn42CdHabf5pESunVnPML897/ZavTfOo0F6le86nTXKryTrP29rDX6ZjVaS5SveZTp7lI9ZvPsnFNW546zUWq13zqNJcqLJozqV7HjLl4dZpPnebydgtt6Jxz/gtJf3FJcwFgkDVg+cgZsHzkDPiBJW27DQAAAABwrnIh9tIV3vfj1Gk+dZqLVK/51Gkuq6JOx6xOc5HqNZ86zUWq33zqrm7Hq07zqdNcpHrNp05zWRV1OmbMxavTfOo0l7eYu6wDAAAAADAf/mkiAAAAAFSMhRgAAAAAVOxKFmIppY+llP4upfStlNJnrmIOb5vPd1JKX0spfSWl9GrF9/3ZlNKdlNLXz31tL6X0xZTSN8/+u3vF8/mNlNJ3z47PV1JKH69oLs+nlP4qpfRaSukbKaVfPfv6lR2fVULOfuj+a5M1cvZkqVPWyFnpXMjZiqpTzs7mw3vHeD5k7QIqX4illJqSflfSz0n6oKRPppQ+WPU8HuNncs4fuoJ9Bl6W9LG3fe0zkl7JOX9A0itnv7/K+UjS75wdnw+dVc9WYSrp13POPyHppyR9+uxcucrjsxLI2WO9rPpk7XFzkcjZyqlp1siZn4tEzlZOTXMm8d4xmo9E1kpdxSdiH5b0rZzzt3POY0l/LOkTVzCPWsg5f0nSg7d9+ROSPnf2/5+T9PNXPJ8rkXO+lXP+27P/P5L0mqR36wqPzwohZ29Tp6yRsycKWTuHnD0eOVsYOTunTjkL5nMlVi1rV7EQe7ekfzz3+zfOvnaVsqS/TCn9TUrpxSueiyQ9m3O+JT06oSTduOL5SNKvpJS+evbxc+Uf56aU3ivpJyV9WfU8PnVDzi6mbucSOVs9dcsaOStHzlZP3XIm1S9rdTyXyFqJq1iIpcd87ao79D+Sc/7nevSR96dTSv/qiudTN78n6f2SPiTplqTfqvLOU0obkv5U0q/lnA+rvO8VRs5WDzlbTXXLGjmLkbPVVLecSWStDFm7gKtYiL0h6flzv3+PpDevYB7/JOf85tl/70j6vB59BH6VbqeUbkrS2X/vXOVkcs63c86znHMh6fdV4fFJKbX1KEh/mHP+s7Mv1+r41BQ5u5janEvkbGXVKmvkLEbOVlatcibVMmu1OpfI2sVcxULsryV9IKX0vpRSR9IvSfrCFcxDkpRSWk8pbX7//yX9rKSvx7daui9I+tTZ/39K0p9f4Vy+f8J+3y+oouOTUkqS/kDSaznn3z43VKvjU1Pk7GJqcy6Rs5VVm6yRs3LkbGXVJmdSbbNWq3OJrF1QzrnyX5I+LunvJf0PSf/2KuZwbi4/Jum/nf36RtXzkfRHevSR7USP/sbnlyU9o0eNLt88++/eFc/nP0j6mqSv6tGJfLOiufxLPfqnB1+V9JWzXx+/yuOzSr/I2Q/NoTZZI2dP1q+6ZI2cXWgu5GxFf9UlZ2dz4b1j+XzI2gV+pbNJAwAAAAAqciUbOgMAAADA04yFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVKxV5Z11Ujf3tF7lXVYvzTcY3ywcnV/Ofii+4VxDT4KhTjTOoyU9IZfj6chZxVla5BmPMkEGrSM9vJdzvn7V84g8MVkLzu8UDs47Vj6lucyZtblzGH3PFcE1rULRdWsZWVrae8dobM6chVla/etdlLNKF2I9retfpI9WeZfzm/METs1mMOg/gEzN4MPJxpI+uCwKOxSGYjbztyuiwPj7W5UL2pfzK1c9hVJPTM7CvPichVmK8hnkLLxIlshBXsIszaK8BNmN7m9FciZJ/yX/p3+46jmUqV3W5s1TI3iD2AreJkQ5bM93u4XMm6fJZK7bxVlbjesd17Q5zJuzIBNRzsIsRbeLslt2TYsWTVGWplN/u/HYjwW3i3O9Gte7KGf800QAAAAAqBivsfXjAAAgAElEQVQLMQAAAACoGAsxAAAAAKgYCzEAAAAAqFilZR21EzXYRD+EHP1wZKfj76/bDW7X9reLyjqCH7IuNQ1+ADL6wcnRyN9uHPzQ8yT4Ic4n4Ieen1plP/Q77w8vB1lK3WjM50xBznIrKtqZP2eNIGeK8jLyP9gcZ3C+H4helR96fqqVnIdzX7d6wbWp3/d3GNwuR1kLizzmLxFIU3+taAyjPAWZGQ792CAYi653U597slYDjbhMJsxZcN6ntbVgrGfHcjTW9fdXtP08c1nOguK1NAlyNvLndmMQXLdOB34uQc6K6FoYZDB8XylVmkM+EQMAAACAirEQAwAAAICKsRADAAAAgIqxEAMAAACAirEQAwAAAICKsRADAAAAgIqtfn19VOcb1GZLcXV2o+/rQtP6uh0La0bX/di0H1T9dvzjyGV1xlHVb1hB6ms/G6e+6rdx7CtI8+mpH4tqgKM67qhyW6IK+LLMudWDVFJDv+arsdOGz1mx4WuAp5u+UnvW95kvopyV/JVVCppwG0HOmkN//jZP/HmfgpyloxM/magieBjUAEd12xI5u0xR1lrBNieKa+gbQZ7yph+bbQdZ2/Dzmfb968Ksu0DWglOtMfaDrYHPWuvEn9/NQ39tahz6rOXjYztWDPxzHFZuS1JRcs3DxQQV9dF7Q0lqRDX0Wxt2rNj2OZts+feHk60oZz4ws05wni2Ss0mUMz/WPvbnduvAX3+aBz5njcMjOxZV4kfvK6Vqt3PhEzEAAAAAqBgLMQAAAACoGAsxAAAAAKgYCzEAAAAAqBgLMQAAAACoGAsxAAAAAKjYatTXz1mdHdVmS3ENvbZ9Bels14+Nd3198HjTz3Xa949x1g4qSOPm8JJabT/WGvobto/9WOfA17q2Hvqq8sa+ryAtjoM67kFQx61qK0hX3rw56/vnVZIaW5t2LO/4sfGeP5fGO77Od7Tl/34pzFlQ9Vv6V1ZzV/3623VO/GtJZ98f8859X4Pc2PeV2vng0I4VQQSlknp7cvbD5qyob6zHWUvbW3ZstufHxtf99x3t+LcJo80gT1HW/KldWqsdZa0ZNFK3Bv41rH3sj3n3wE+2e8+PNR/49x+NfZ+1HF3vJBVR6zbV9m8VVNQ3Ov45j7ZOkSTtbtuhyTV/TRtd8+fLcMfPdbzlszT1l0kVwW4XC+UseLlvBte09rF/jL0DP9nefZ+l9t0gZw8O7FgR1N5LUg62c1G+3JzxiRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFRsRerr/XoxqqiParMlKT+zY8fG13196eB6UJ294+caVpAGrcRFx/eILlJB2pj4+cRVv/5Ou/v+dv2NoCK4G1Q2B9XpQTv/I0G9/VNZbb+EivpGUJktSbPrPmejZ3337uCan89w15+DkyD20zX/vBbtIGfN+HxIRXBcp/52rYG/XVT12w0q+vvrQUVw17/ktxr+e5a9zET19k9ttf0SKurTrs+SJE2f9bXag+f8tganz/hzZrTrH8fcWQuuaSrJWvSiH13TmmHW/Bk+2ve366/716+1IGvtIGvBJhqPxo+CLSjGwcF5UrMW5aztn4MUPHfai3M2uemveafP+or602vBebYb3N+mf+5ma/45z1HOGiXnQzCcJsG1YuDH2sf+uRoH7x0nfX9M19r+/nrRuVGSh0bhj+tlbyHBJ2IAAAAAULHShVhK6fmU0l+llF5LKX0jpfSrZ1/fSyl9MaX0zbP/But5ABFyBlSDrAHLR86Ai7nIJ2JTSb+ec/4JST8l6dMppQ9K+oykV3LOH5D0ytnvAcyHnAHVIGvA8pEz4AJKF2I551s55789+/8jSa9JerekT0j63Nkf+5ykn1/WJIEnHTkDqkHWgOUjZ8DFvKOfEUspvVfST0r6sqRnc863pEeBk3TD3ObFlNKrKaVXJxotNlvgKUDOgGqQNWD5yBngXXghllLakPSnkn4t53x40dvlnF/KOb+Qc36hLd98AoCcAVUha8DykTMgdqGFWEqprUdB+sOc85+dffl2Sunm2fhNSXeWM0Xg6UDOgGqQNWD5yBlQrnQfsZRSkvQHkl7LOf/2uaEvSPqUpN88+++fLzSTht9DoNHxe66kzQ07Fu0TJknDm/62Jzf9/mTDa35vgtGu35tgshnsS7AW7D3Q8bdLpXuu+LnmYC+IFOwF0Qr2XJls+rFp3z+PRdvv2xbtBdEs2QuiCPaCyIOhv2F+53tBLKKynC1hT75onzBJGr7L79dy/Jx/CRpeD3K245/36bZ/7lLfjzU7fqzRKNmxLgd7BE6C/VGC/frGR8Ht1qOcBfvutYN9jxrBvoJBjiQpzYLxQZDBcC+/8C7nVlXWwn35ev5v+FOwL9/0erxn3+m7/B5kx88F+/Jd899zvBtct7b8Jnmtvh/rd/3eco2S/Y1ykLXxOMjM0F9/Jkf+dSjK2qzr7y83/XO8Lv88tkuy1pj641oUwV6Ibj+/VcmZeR8Q5azRnS9n4xvxHrQnN/33PXnOny/Da/5gj/eC68+mz0t/zW9q1W0H+WzG59kseO84nvq8DAbBe+cjn8Fp33/PouOPaW76+0vZv8fvll3TgpylWbCXXzbfN8jZRTZ0/oikfy3paymlr5x97d/oUYj+JKX0y5Jel/SLF/heAB6PnAHVIGvA8pEz4AJKF2I55/8qv9n7Ry93OsDTiZwB1SBrwPKRM+Bi3lFrIgAAAABgcSzEAAAAAKBiLMQAAAAAoGIsxAAAAACgYhdpTbxcc1SQpr6v5NW2rxkdPeurK6W4ov70pq/ujCpIp7u+8rKz5XeHX+/7sbWOry5tldRqF0HV72Diq0RPhv7YDI58dessqKiftYMK0kZwKha+crs/iWvm09gfu6ieNI/feQVprbictf1xTms+Z3knypl/fqS4ov70uaCi/npQe77nK3s3Nv22BNt9P7be9t+z3YzPs2kRVBZPfSYOBj07drTpx4Z9n8GiHVRqp+B1tvD3tzaKa9ObQc6KiR/LQd32ynBZa82XtWLHX7eGzwbXQkknz/rzcPCsv93oun8tbO/6a9Pe5sCP9U/t2Hrbf8/OAlk7nfrr1sOhP3b76/41bNj1ucjBcxz9PXea+XlujOL3La2hf52KrnfhVhGrwGy9EuYseF5ne/44D56NN5A+vRHk7EawhVGQs/6uz9K1zRM7ttfzOdvq+O/ZbZTkLPvHeDTxx+fhyB/zu2t+m6Ljrr/dIKio930wUiN4j9sc+rlIUnvgX6PCnJ2885zxiRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFTsCurrTQVpVKu94WsmJ88EFaTXfXWlJA1uBNXu130FaXHd18fu7Pqa0Rsbx3bset+P7bR9BWmrpII0qq8/mvpa3rtDf1zv9P3Yg05QvdzwlacpqCRujv250RrE1endU19X3hj5etLCVf2uStu2y1nH18BGORvvBdWy13wluiQNr89XUZ9u+Ofu+o7Py7s2DvztevPlrNfwdbWSNCn8MTie+fP+zshvC/Bmb9vfruVzNkq+pjvNfJaaI/8YWqdxbXrvxJ87aeCPa7SFhFahbTv5rVeirGkzyNozQdaeKcnaMz5r42v+gHav+efouZ0jO/aejX07drPnc7jdimq1y7Lmz+Eoa7eDLRje6OzYsTdb/nbHCs77aZQ1f71rn/jrsiQ1j+fM2sRkrfDnTG0kKTXMNhE9/5znKGd7wfYge/FnFMNn/NjkGf+atv6Mr5p/z47P0o9uPLBjz3UP7dhuy78fbaey947+GBzM/PXgzthf015v7/mxYCumhzm43gVbVrQG/jF0jqNKfKl55F+H07E/rmlo3lcGOeMTMQAAAACoGAsxAAAAAKgYCzEAAAAAqBgLMQAAAACoGAsxAAAAAKgYCzEAAAAAqFi19fVRBWk3qiD1NZLjXV9BOdyLa1lHe76LfLbnK3R393wF9o9s+wrS927ct2Pv7j60Y9vNoFY7+Sp9SZpk/xQfFb6+9VbX1/luBBWkzaCC9E7ha4BHYz+X1sA/j53jeIuC1oGvr22c+CpZuWr76SpU/SZfqd31eSk2gpzt+OM83I3/Pme043OW9/z5G1XU/9i2z9KPrd+zYzc7Pp/PNP39lVX9zuTPi/2ZPwfvdHwm1pv+2DSSP6ZvzvzzMQ5qs1unfmx0FF8qOtv+3GkeBXX6rupXkuIW85pIdqsIRde0DX9Mxjv+WI9249ef8Y5//W3s+mN9Y9uf++/f8nl6/9pdO/aujr+m7QVZ6ywpa9fa/j77zflOttenfjuB0Sh4PT0JbncQb1HQ3QqulQd+LJnrXVqVnJlrWpSzYtMfj9F28BxsxzmbbPuctbd9zm5u+6r5H9/0Ofuxvs/Zezr+WrjINS2qr98v/Ln93dauHes2fLV/EeR6HGwFcTIMnsdjf7vhTknOHvhzp90Prmmnj3+/noL3jnwiBgAAAAAVYyEGAAAAABVjIQYAAAAAFWMhBgAAAAAVYyEGAAAAABVjIQYAAAAAFau2vj6oIE09X0E6W/dj4y1fQTneKqkg3fL1nf3toR17bvPIjr1/w9eMfqB/2449H1SQ7jR8zXov+TpQSZpkf3wOg/r6naa/z6j2dFr4tf1w7CvQ90/9qTg+8rcbbcV/l9Db8nXtzQf+vEqtx88njetfX58kpebjj0u0TcR0049Fx3myGc9nuu3Pl41Nn7N3bRzYsaii/sd7Qc7aQdVvkLN28nXFUkmldpCzrYbfmqIhX1E/KoI637E/5++d+ixNDv3tRpvxed/f8N+3Gby220rqFRFnzR/P6bofG68HWduI5zPb9FnbWZ8va+9bC2q1u3fsWJS1vYafS2eRrDX9tXm9EWyVEBjM/Ll9OPbn9u1N/xxPNqLnOM7adN3PpxWcc2qb241W4JoWbcnS8Y95thY8B0HOpn4XBElSse5ztrfhz+1n+/78fL73wI6FOWv52+00/BYo3ZKnfeIvP9rL0XtSvx9CVIl/MvNZ2h/6uvjTYH0w3fDXl0nJczxd99fYVs+fV+69Y/CyVf6JWErpsymlOymlr5/72m+klL6bUvrK2a+Pl30fADGyBiwfOQOWj5wBF3ORf5r4sqSPPebrv5Nz/tDZr7+43GkBT6WXRdaAZXtZ5AxYtpdFzoBSpQuxnPOXJPnPPgFcCrIGLB85A5aPnAEXs0hZx6+klL569vHzrvtDKaUXU0qvppRenWT/b2cBWKVZO5+zseb7WQjgKfeOr2lkDXjH3nnOeO+IJ9i8C7Hfk/R+SR+SdEvSb7k/mHN+Kef8Qs75hXbyP7QO4LEulLXzOesoKEcA8DhzXdPIGvCOzJcz3jviCTbXQiznfDvnPMs5F5J+X9KHL3daACSyBlSBnAHLR86AHzZXfX1K6WbO+dbZb39B0tejP3/udraCVB1fyRrVtU7WfCfkdC2eTw4qSLfW/EfhN/uHdiyqIH1vx9cAv6vl64P3Gr6ivpPiDtJZ9vWl+4X/ZzWdoKJ+nP1pczj1f3N1f833hR5t+HrS6Zq/v+j5l6Rp39+2HVT92vO04qbfubKW/DYRUc5mwbGa9qOcBT23klLfn0vbfZ+z671jO3azs2/Hotrs51s+uzvBX0t1U/x3VpPsH+Nm8o+jKV/VPcz+uXrY8y9ud/u+43y/7283XYvOjbKc+ZrgTnDOpXbFO6gY817T5s5azx+vqX8p1LS/nKzd6Ppa7Rttn5l3tR/6sWALlJ2Gz1M3BRXskibyj3EtRf9U1M/1pPCfbN7r+jzd6m3Zsfs9f72b9YP3O/34tSbKWo5qtc02Cyp5D3GZ5s6Z5HMWvIbMuv5YBm3pmvXinDX6/j3ZRtefg9e6/lrwbNu/B3yu6ceuN/17vL2GPzbd5M9BKb6m9Qp/n0XTv14ctv37w9ttn6WtbrDdRc/X5U+C93izXpyz6NyJXtv9liw+Z6VXwZTSH0n6aUnXUkpvSPp3kn46pfQhSVnSdyT972XfB0CMrAHLR86A5SNnwMWULsRyzp98zJf/YAlzAZ5qZA1YPnIGLB85Ay5mkdZEAAAAAMAcWIgBAAAAQMVYiAEAAABAxViIAQAAAEDFqu8ONtWOOaggLTpzVpB24wrSZjeonA4qSPc6J36s6etJo7HrQUX9dsNXcHZT/BQW8segnXwl6ES+eviZ4HE80/bHZrvj7+97Hf/4x0GVbNEtqe/vBeNRdfYcFaS1Yuqhc8tXH4c56/jHXbRLctbxOVtv+xrcnfbAjoXnYCOqzbZD2m34at128sdNkmbZ19A35c/7YfZj0evFdssfm/V2sC1F11f9Djr+8c/KchZU/Uav7XabiFWR/GMIs9b2x6to+2OdW3HWWu2gcrrln/uNpj9ndpr+NX2n4c/fzYZ/HFtB1polW0XEfC52gq1coscYHZu1lv+eneB17zR4zZzF7f0qgtfi3PLHri5bsswlPdr+6HGWkbOiJGfNpn+978+Zs7VGNOa/52aQl40gZ2Wia14RbLtylP17ua3o9aLpx6KctVp+LuMgZ0XJ6id8HW76seRe94Kc8YkYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUrNr6+qCC1NVtS1IRVEVGNZK5GVeQNpq+Xrbd8GPdoGp+veFrNteTv10vqCBdC+rry0Tl0L2gnjSa63pQs9oLalY7Tf89Wy1/vEfB81haQRqdH1HV7xwVpLUR5cx9XVKO/lomGCvNWcPXy7aDDEbnUjsF2U3+/rpBzsoq6iNR5Xa0xUQnBfXXwWPshjnzt2s0gucqeB7Dc6NsPMjg0yo8XsHhytHzJyklP96Kchhc75rBFijRWDvIxGIV9V47uOI1Nd9jbAfX++iYRs9F+FfgJXHJ0Xjw+o5LFD23c5o3Z3VT9VzDnIU3jIerzBmfiAEAAABAxViIAQAAAEDFWIgBAAAAQMVYiAEAAABAxViIAQAAAEDFWIgBAAAAQMVYiAEAAABAxardR6xuwo0C5jMLNieIxlSzfSLiuV6+PO9zUXLYwi0mcr2O+VULtt8Kj3Mq5t+QY1r4vwuaFH5PoHlzNsl+L6FZ9gdgkX2PJsH+RXM/jmADveiYhjmb8/mXnuKcZSmbx5eCxx1mLRhLszhrOcrTzOdpWLT97bK/3STYEG2U/f5bUQ7L9vOLchrd5ziY6zh4jKPg2IyDY1pEr4vB8xieG2Xjsyc0a1HOCn9AGsHxSOFYPJ0ieN6j69YoeN0+Kfx+sSfZ326Y/b6up4XfpzLa31KSiuBFfxjkN5rrSdH13zPMWXC9m/rjHb1eBtsDPhqPzo9pEMLC3G7ObQUBAAAAAEvAQgwAAAAAKsZCDAAAAAAqxkIMAAAAACrGQgwAAAAAKsZCDAAAAAAqVlpfn1L6rKT/RdKdnPP/fPa1PUn/j6T3SvqOpP815/yw9N6CCtLG1NdhNiZBPenEd0KW1VPOZn4dOpj6Ks3jma/gPA3qOU+Des6jxsCOtYuhHesm/z2luCb4qPAHKJrrYdHz33Pmx06nvp51OvXPRZosUEEanB9Rfe08FaSLurSsZSnPHv+8LyNnqeQ5mE6C2uw5c7Y/W/djwfm5mY7tWFNRzuKXyqii/qjwY/vB60X0GMPXoCBn47F/LhpBzpq+BfnRbcdzVv2a83SZLvWaJkmmPjtFWRsHWyUEx7IxiacyCZ7fk4k/L/YnfTt2f7bhx4o1O7ZWHNoxhVmL/354EtTXH7nXbUkPgrk+CB7jwdQfm5OJz+F45F/bGuMga76N/GzcP/40CV6MXdaWdE279JyZ+UePOcxZcJybo3ibiNHI5+xo5M+JB2P/mv6g68/B6PzsBV37M/kX7k6KX0xmwfYb+8E2GQ9mPmfha8nEH5uDsb+mT8b+2twYBu8dy3I2DIIxT86CoF3kE7GXJX3sbV/7jKRXcs4fkPTK2e8BLOZlkTVg2V4WOQOW7WWRM6BU6UIs5/wlSQ/e9uVPSPrc2f9/TtLPX/K8gKcOWQOWj5wBy0fOgIuZ92fEns0535Kks//euLwpATiHrAHLR86A5SNnwNuU/ozYolJKL0p6UZJ6yf8bUADzI2dANcgasHzkDE+LeT8Ru51SuilJZ/+94/5gzvmlnPMLOecXOsn/wB2Ax7pQ1sgZsBCuacDykTPgbeZdiH1B0qfO/v9Tkv78cqYD4G3IGrB85AxYPnIGvM1F6uv/SNJPS7qWUnpD0r+T9JuS/iSl9MuSXpf0ixe+R1ftGNRBRnWtYQVpUF0pSZOBf/jHQQXpvZGv4Lzd2bZjO81TO9YOKkgn2VeQdku6w4PWcR1l//i/N9uyY7cnO3bsQVBBejjyf6s1Hvqq31ZQJRtWjCo+dzQO6lvnqCBd1KVlLWc//+AxN4f+HGz53RXUGpTlzFf9Hgz8OXFntOnHOv783Aq2gmjKnw/D7Cu1Oynub5/JH4Ooov7N6a4duz3xryW3R/7xPxz6uu1pkLN28Dy2BvF53xr4cycN/bErZkE+l+RSr2nzZm3gX7dbg+C18DT+u9PxnFm7O/TXtFsd/3q/XtYBbZw2omthfE7M5B9jtHXFmxOftTfHfuzW0OfwwcBXdU+D9xfd0+CatkjWgnOucO+xgpryRVxmznLOdkuWKGetEz/WPvXbObSC50eSxif+HDw89efgrb5/3d5p79mxXlA1H117joKc9UrfOwaPMcpZcE17ffSMv93A52z/1F/TZsc+Z73geWyfluXMH580iq5p73ybiNKFWM75k2boo2W3BXBxZA1YPnIGLB85Ay5m3n+aCAAAAACYEwsxAAAAAKgYCzEAAAAAqBgLMQAAAACoGAsxAAAAAKhYaWviZYoqSPPY10E2T/1Y+ySoIA0qRiWpEYwfHPt6ztt9X6sdVZBGFfXjoCr0mebxXN9Tkors19r7ha/e/W5Q9fv6yD/GN06DavsTf3/5xJ+KreOggvSkpIL0JKggjWq1p67qN7y7WsiSsqkFz0HtavPEj3VOfAV7+zjO2fjIjx9tBjW4PV9nu970c20ET9Iw+2rwvSBnnZKchfX1M7+lQ1RR/+3BdTv2xonP2f6xz5mOfM7aUc6O40rxqCZawTmnSXC7FRBnzVe7N4/8WPfQZ214FP/daevAZ+1kPcha15+HvWZcc23vL9i2YZFr2rxZuzPx1eH/3+k1O/bGsc/awZGv1W4cBlk7skPqHpVc046DzAyD7QRsrfYKXNTkt4nIwWNunPixzqHPQ+ewZEuWQ5/DwZr/vt/r+PeOnYY/72fBZyZHQZX8dtNv5dIr2ZJlEmxvFN3nrbHPyz+c+veO3z32r0GHhz5nzSBnnUM7pO5hfE1rHvrjE51z2bx3zEHO+EQMAAAAACrGQgwAAAAAKsZCDAAAAAAqxkIMAAAAACrGQgwAAAAAKsZCDAAAAAAqVml9fVRBqqDqt3E0tGPdA19r2T2I15mTTT8+6vvq3VsdX4PbTL4ScxJUyR/M/OPYbZ3YsUXq66P7vDP2NauvnwT19Qe+gvTkwFeetvd97XL3wA6ptx8//mZw7uSBr3bNk3deQVofWcrmPAxylo798ejsBznbKsnZuh8fBjm709qwY43kn4dR4V/WHvZ8tft2yz/+biOuWZ8E93k884/x9si/lkQV9W8e+tsNHwa1zPv+uejs+2PaPSjJ2WGQs2EwZqrfV0a0JUtQ2984PrVjUdZ6D+OsTYOsDXp+q5d7QdYiw5k/7+/2/PfcaQe12qVZ89eKKGt3Rv6a9mZQnX3nwD+OyUN/f9Fz1X0YZG0/3i6gceDPnfCa5mq1V2RPllw8fp7RNhGNoyBnD4OcbcZbskzX/HM76/gtUvab/lzK2VfmD6b+e97rz5ezVlCXL0lFMJ+jqb/G3B36+dw58WMP9oNj8yDI2QM/z96DIGcP4teZ5oF/350H/ppm1zhBzvhEDAAAAAAqxkIMAAAAACrGQgwAAAAAKsZCDAAAAAAqxkIMAAAAACrGQgwAAAAAKlZtfX1UQTqMKkh9jWTnwQIVpH0/XrT9oTlp+Ars1wtfpXk68fXBt3u+jnqrE9VqxxWk06C+/mjiK0EfjvxjvHu8bseO9/3tmvf84+9GFaT3fcV194GviJakxqGvry2CemlXSa1VqK/Pfv557B9zinJ239fV9tcXyZkfGyWf7Tdn/rw+Gfvz7G5Q9bve9q9BnWZJzgo/n9Opn8/DoX+M+8c+S1FFffu+f+3q3fM569/3j7F7L6jrlZQO/blTBFW/NmerxGwVEWUtHwdbkgTXtP56fMmedv3zWzSD7Vrkz6c70yBrI39u3+n7uvj1tj827QWyNgxqvg8G/jEenfixIqio797zr1+9e3ZIa0HWOnf99V6KX6eL4H2Ue++1Cu31knzOzFYzUpyz1n3/vPb7cc5mHX/e56bP4DD72+1PgmvIMLqm+fdjax1f0d5qxFuHRPX1g4nP2Ukw18GRP+aNff89e/f8senf9Sdw/64/N9r3/HtDScpRzoItE/x7R39ffCIGAAAAABVjIQYAAAAAFWMhBgAAAAAVYyEGAAAAABVjIQYAAAAAFWMhBgAAAAAVq7a+XvIVpNOggvTE10w2HxzbsX4vfnhF21fW5oZfo6bCf9/BxFdOf3fg6znvr/nbddv+2LSacQXpLKjTH0+DxzHwFaSzI/84Wg+D6uz7fi5rt32359qdoIL1ga8YlaR85M+PaMsEd56uDFOzH+VMp742ubHvj2OvW5Yzf27n5Ouf08x/3/HI5/PeqT8/9/t+Lp2uP88ajbjjOQdVv+Oxf4zToZ+rjvzj7+z7xx9V1K/f9uf12vd8pXj0OitJ+TjIWVAvvfI5k3zWolrtMGtHdqzbibOWm/78ji73jWA7iNHQV04fbwfbvPR9DX+z4+vbU69G6EwAACAASURBVEmttoKsTSc+a3ngx5pHQQ19lLX7/nUhylr/e35Lh+aDQzsmSUVQyR6+vq961lzOgi0w8sDnLB0EOQu2L5Kk3PDboEj+vVNj4s/d0dDf5+TYn58P14JtiDr+OU/Nkn0LgveOOajaTwM/1j72Y939YAuje1HO/Dnf+55fOzQeluTs1N82vqa98/0gFlqIpZS+I+lI0kzSNOf8wiLfD8DjkTVg+cgZsHzkDPiBy/hE7GdyzsHWhQAuCVkDlo+cActHzgDxM2IAAAAAULlFF2JZ0l+mlP4mpfTi4/5ASunFlNKrKaVXJwp+JgdAJMwaOQMuBdc0YPnIGXBm0X+a+JGc85sppRuSvphS+u855y+d/wM555ckvSRJW2nvnf8UGwCpJGvkDLgUXNOA5SNnwJmFPhHLOb959t87kj4v6cOXMSkAb0XWgOUjZ8DykTPgB+b+RCyltC6pkXM+Ovv/n5X070tvOEcFaTHyH0s3DnwFZbvlKz8lab3p6zJT4StBG2O/fm0OggrSTT+fwZqvPD3tBH8ZVFKrrWA4BRWkjaCCtHfsj1tn399f/15QnX3bV4d3vxdUZz848GOKtz6Izrl5KkiXZe6sPUb4mIM6/xzkrBVs9SBJa40oZ34LiebI56V16u9zcuizNF3zdfGDjp+LSqt+/VBUWdweBGNhzvx8+vf9cxxV1LdvB3W++yVVvwNfx52nPttPas4khXXheeyfh+LQ12o3kz8nJCk4g5Vmvtq+FWXtJMqav95N1/z3LIJdG4qSrKWgVrsVtEq3wqz523Ufzpe13m1fnd666/MUvdZK8bYrq3BNu/ScFcF7Rx8zNYKtbRoL5KwxXbdjrWC7kqjafbzlx6Z9P1YE7x1z2ccw0dvO4JrW8qe92sf+m3b3g+0e7vtgd+8EFfX3/PvD6HVWknKw7rjsrSAW+aeJz0r6fHp0wrYk/cec83++lFkBOI+sActHzoDlI2fAOXMvxHLO35b0zy5xLgAeg6wBy0fOgOUjZ8BbUV8PAAAAABVjIQYAAAAAFWMhBgAAAAAVYyEGAAAAABVjIQYAAAAAFVukvv5yBXtc5InfQyDaJyqV7AXRDu5zfbxpx1oDv8fY8MjvnTLe8vOZd8+VRfaCaAbb+zTn3Auid+D3V+jdD/Ywuntix1KwV1gR7AUiScU4eJDB/iNPrChnwX5PhX96Sv82p1UE+8eNtvztTvt2bHTkX7pGmz5ns34w1vVjC+Us2MumNfA3bB/749Y98Odu957f06v5IMhLsFdYPg5OAMWv0XXZv6hyUdai/Z4G/sW3bPeaZnCf/bF/jlonfo+x7oG/AI3C/Y2CrHWCa3Ow76Ckkv2N/GCUtc6JP7KdfX/cOveDPYz2fdaivcKKk+Diq9XZl68WlrCXnySlWXC+jPz3bZ1s2LHurn9fOQ72oA1z1g6uafE2u0rh3phBzob+htE1rXMQHLeHwfv8ff9cFcF1Kwevs1K1e/LxiRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSsPvX1kaBmvAiqoVNJtXkjqCBtB7XnzZN1O9Z52LNjky1fAzzt+zVxVPVbVqudllD12z4OapAPRnaseRBUiQZ1scWprxmNKmgf/YGywmf8kyVU20tx1W8zyFkvytm2r9vub0Q58529s64P00I5G0c5869trZPgNejQV9SnwyBnx/41sRj47xnW00tP51YQi1hCtb0kFcFt08i/NneCrLUeBtX2m75ye9b3by+KzgJZC2u1g9eaoT82zRN/HUnHwTE/8lkLr1tD/1yE9fQSFfXvxJw5i54fSUrBbRsTfy41B/779vb9e8fuuh+b9f31Lkc5K9neKQXHLgU5a4z8taJxOl/O8qmvrw+vW8H7w/B1Vqo0Z3wiBgAAAAAVYyEGAAAAABVjIQYAAAAAFWMhBgAAAAAVYyEGAAAAABVjIQYAAAAAFVuN+vpIUJucS1pgi2NfPZuC2st06usyOwe+ZrS95sdyN6ggbfvK7dyMK0hVzFtB6g9eCipYc1TZG9SMFkG1clidXVZPT9Xv5Ziz2l6SNPDPUTGJzjN/LjWP+n6s5yu1O50oZ8HLYVnOoqrfqX/8aRhsvzAKqneHQZbmrKEPn0dyVJ15q+0V125HldspONdScJ1sP/RZa0dZa/lrmkpqtSNpGhyfYKuMHDx+RdemqB57GmQteh7JWjWi45xLcjYOrmlRzqJ8HnX8WHe+nKkRfNbSmD9nCnIWnfdRlooon9F1K8xS8P6wRjnjEzEAAAAAqBgLMQAAAACoGAsxAAAAAKgYCzEAAAAAqBgLMQAAAACoGAsxAAAAAKjYQvX1KaWPSfq/JDUl/d8559+8lFldlqDaXpJyUG0ZVWKmoJ4znZ76saAeO7X8WCMYK636DauQg2rP4DEWc1b2Kjim1PnGap21kucnem5ztL1ClLOgBlhNX40dZjC43UKCx19EGQyq/aPsPgl1vlel1jmTyp+joHY7qtyO6qHDyu2mr7aPchjVaqcF6uuj6vD4+hPlYt6skSen9jkrM+cWE/O+r1SwJUlqRhX1S/qspQgyEZ33c74XeNKvW3M/SymlpqTflfRzkj4o6ZMppQ9e1sQAPELWgOUjZ8DykTPgrRZZLn9Y0rdyzt/OOY8l/bGkT1zOtACcQ9aA5SNnwPKRM+CcRRZi75b0j+d+/8bZ1wBcLrIGLB85A5aPnAHnLPIzYo/7h9w/9I81U0ovSnpRknpaW+DugKdWadbIGbAwrmnA8pEz4JxFPhF7Q9Lz537/Hklvvv0P5Zxfyjm/kHN+oa3uAncHPLVKs0bOgIVxTQOWj5wB5yyyEPtrSR9IKb0vpdSR9EuSvnA50wJwDlkDlo+cActHzoBzUlg1WXbjlD4u6f/UowrSz+ac/4+SP39X0j+c/faapHtz3/nlq9N86jQXqV7zueq5/GjO+XrVd/pOsva2nElXf8zOq9NcpHrNp05zka5+PpVnjWva0tRpLlK95nPVc1m1nElXf8zOYy5eneZz1XOxOVtoIbaIlNKrOecXruTOH6NO86nTXKR6zadOc1kVdTpmdZqLVK/51GkuUv3mU3d1O151mk+d5iLVaz51msuqqNMxYy5eneZTp7m83ZJ2ewMAAAAAOCzEAAAAAKBiV7kQe+kK7/tx6jSfOs1Fqtd86jSXVVGnY1anuUj1mk+d5iLVbz51V7fjVaf51GkuUr3mU6e5rIo6HTPm4tVpPnWay1tc2c+IAQAAAMDTin+aCAAAAAAVYyEGAAAAABW7koVYSuljKaW/Syl9K6X0mauYw9vm852U0tdSSl9JKb1a8X1/NqV0J6X09XNf20spfTGl9M2z/+5e8Xx+I6X03bPj85WzPUCqmMvzKaW/Sim9llL6RkrpV8++fmXHZ5WQsx+6/9pkjZw9WeqUNXJWOhdytqLqlLOz+fDeMZ4PWbuAyhdiKaWmpN+V9HOSPijpkymlD1Y9j8f4mZzzh65gn4GXJX3sbV/7jKRXcs4fkPTK2e+vcj6S9Dtnx+dDOee/qGguU0m/nnP+CUk/JenTZ+fKVR6flUDOHutl1Sdrj5uLRM5WTk2zRs78XCRytnJqmjOJ947RfCSyVuoqPhH7sKRv5Zy/nXMeS/pjSZ+4gnnUQs75S5IevO3Ln5D0ubP//5ykn7/i+VyJnPOtnPPfnv3/kaTXJL1bV3h8Vgg5e5s6ZY2cPVHI2jnk7PHI2cLI2Tl1ylkwnyuxalm7ioXYuyX947nfv3H2tauUJf1lSulvUkovXvFcJOnZnPMt6dEJJenGFc9Hkn4lpfTVs4+fK/84N6X0Xkk/KenLqufxqRtydjF1O5fI2eqpW9bIWTlytnrqljOpflmr47lE1kpcxUIsPeZrV92h/5Gc8z/Xo4+8P51S+ldXPJ+6+T1J75f0IUm3JP1WlXeeUtqQ9KeSfi3nfFjlfa8wcrZ6yNlqqlvWyFmMnK2muuVMImtlyNoFXMVC7A1Jz5/7/XskvXkF8/gnOec3z/57R9Ln9egj8Kt0O6V0U5LO/nvnKieTc76dc57lnAtJv68Kj09Kqa1HQfrDnPOfnX25VsenpsjZxdTmXCJnK6tWWSNnMXK2smqVM6mWWavVuUTWLuYqFmJ/LekDKaX3pZQ6kn5J0heuYB6SpJTSekpp8/v/L+lnJX09vtXSfUHSp87+/1OS/vwK5/L9E/b7fkEVHZ+UUpL0B5Jeyzn/9rmhWh2fmiJnF1Obc4mcrazaZI2clSNnK6s2OZNqm7VanUtk7YJyzpX/kvRxSX8v6X9I+rdXMYdzc/kxSf/t7Nc3qp6PpD/So49sJ3r0Nz6/LOkZPWp0+ebZf/eueD7/QdLXJH1Vj07kmxXN5V/q0T89+Kqkr5z9+vhVHp9V+kXOfmgOtckaOXuyftUla+TsQnMhZyv6qy45O5sL7x3L50PWLvArnU0aAAAAAFCRK9nQGQAAAACeZizEAAAAAKBiLMQAAAAAoGIsxAAAAACgYizEAAAAAKBiLMQAAAAAoGIsxAAAAACgYizEAAAAAKBiLMQAAAAAoGIsxAAAAACgYizEAAAAAKBiLMQAAAAAoGIsxAAAAACgYizEAAAAAKBiLMQAAAAAoGIsxAAAAACgYizEAAAAAKBiLMQAAAAAoGIsxAAAAACgYq0q76yTurmn9Srvsl5Smu9mS/iekqSc/VB8w7mGngRDnWicRwsc9OV7KnIWh8KPzJuXRZ7xOTORg3w+DRk80sN7OefrVz2PyBOTtWXkac7vubyszZeZMIdhRlcD17QKBXmZO0vhNa1mOSvmy1J+Aq53Uc4qXYj1tK5/kT5a5V0uRxgY/yFjajb97RpzBrSxwIeaRWGHwovPbOZvFwbN39+qXNC+nF+56imUWqmczZulIC8KchZmMLrdAn/hMXeWgrGnIYP/Jf+nf7jqOZR5UrI2dy5a/i3EvN8zuhaWis79KDPTqR+bBGNRRlcka1zT5rCE94CpHWQpyJmC2ynK5yLXtFlwbhdBzsYTf7uJHwvzGWZwNXLGP00EAAAAgIqxEAMAAACAirEQAwAAAICKsRADAAAAgIpVWtZRO8v44eVOJxhr+7G2H1M0tsgPNgc/cJmDH5xU8AOXeTz2Y3P+QPSq/NAzjMZ85RnhDy93u36s58cUZDBHP/S8QClOYxr8MHFUBBBkSaORv90wGHsCfuj5qVb2A/ZRUUBwfjeCPKnf898zyFru+mthVDCQWyVZC87FNAvO0+C61RgG163BwI+NgttFOYyyFpQdoCIlOQuvW9F7wChL/b4dy/0gZ31/f7kT5GyB944peO+YRv78TUEm0kmQsyiDy7jeSZVe8/hEDAAAAAAqxkIMAAAAACrGQgwAAAAAKsZCDAAAAAAqxkIMAAAAACrGQgwAAAAAKvZk19cHtdlSSQVpUMub1nzNaFpfs2PFmq8una35Wu2i4+dZVvWboqrfqR9rjHztZ+PUV/Y2Tod2LB+f+LFBcLuoLn8a1OxL1G5flqjON6jMlqRGtG1DUNmbNtbtWN70OZut++xO16Oc+cdRNOev+m1MfNVvcxSMRTk78nlpHAU5Ozm1Y0VUiR9tLyFRuX2Z5t1WRSXbOqz5zKRNn7XZdjC25auzp33/9mLW84+xLGspeElvTPxglLXWiT+/m1HWDn2e8tGxH4tyGOxa8ejGbOdyKaKctYItgyQ1ohr6zQ07lrd8liY7Pp+TLT+f6Zp/TZh1gpyVvPsPcxZcDqKctY/9daJ9GFzv9v01LR36nCl4zxltASNVu50Ln4gBAAAAQMVYiAEAAABAxViIAQAAAEDFWIgBAAAAQMVYiAEAAABAxViIAQAAAEDFVr++PqioT+344TWiOt/tTTtW7Ph60vGurzUdb/n5TNb8mnjWjap+7VCpqIK0NfT1nJ2wgtTXs7Ye+uPd2D+yY/nQjxUDO/TotlG9PVW/bzVnbXbq+AprKa7zVZCzyTNRzvx9jrf8XCdr/jHOfPO38kL19VGltr9d+8Q/xu6Br/3vPPBjzQe+6rdxcGjHorptqaRym2r7HzZv1oLtHiSpsRVct3a37Nj4mn9tHu356uzRlr9uRVkrgqyV1Wpr3lrt4JrWPvGPsbcf5PCBv963HgRbCTzwD7IR1N5LUh77sFVZub0S5qyob6zHOUs723Zsds3nbHTNf9/hrs/9eMs/jsn6nNe0BT6GaQSnWXPov3H72D/G7oHPRO+Bz2Dnrh9rtPz3LIL3lZKkgX9zedk54xMxAAAAAKgYCzEAAAAAqBgLMQAAAACoGAsxAAAAAKgYCzEAAAAAqBgLMQAAAACo2GrU189ZUd+IarMladdXkE6u+xrg4Q3fCTqYs4J06tuDS6p+S6oyw6pfP5/myI+1j/36vRNUkPY3g3rSvq+Sbbb8MW3sH9gxSSpO/BjV9m+T/PMaVdRHldmSlJ/ZsWOjZ31GB9f9OTHc8+fnvDmbdf1znpvznw9xpbafa+skqvr1z1Vv09+u3/MZbAc5S0ENtCSloHI7BzF7oqvtl1BR39j21diSNLvuszZ8zp/8g+v+vIiz5ucyXfOZKXrLyVqazHdNax0Hj3E7uG5t+Byu9YL8NvztGiVZi2q38zDYDyM/oVmbt6K+77ceiOrpJWn6nM/Z4Dn/fU+v+3Miytlky2diulbYsaLnx9RYIGfT4PwNr2lBzg6CbWfWg5x1g2th8DpbtvNTUQTHbuRzlqfBBd8o/UQspfR8SumvUkqvpZS+kVL61bOv76WUvphS+ubZf3ff8b0DkETOgKqQNWD5yBlwMRf5p4lTSb+ec/4JST8l6dMppQ9K+oykV3LOH5D0ytnvAcyHnAHVIGvA8pEz4AJKF2I551s55789+/8jSa9JerekT0j63Nkf+5ykn1/WJIEnHTkDqkHWgOUjZ8DFvKOyjpTSeyX9pKQvS3o253xLehQ4STfMbV5MKb2aUnp1ouDfLwOQRM6AqpA1YPnIGeBdeCGWUtqQ9KeSfi3nfHjR2+WcX8o5v5BzfqGtoHUCADkDKkLWgOUjZ0DsQguxlFJbj4L0hznnPzv78u2U0s2z8ZuS7ixnisDTgZwB1SBrwPKRM6DcRVoTk6Q/kPRazvm3zw19QdKnzv7/U5L+/PKnBzwdyBlQDbIGLB85Ay7mIvuIfUTSv5b0tZTSV86+9m8k/aakP0kp/bKk1yX94kIzmXPPlcZasDFQsE+YJE2e8+Mn7wr2Crvu16+joIh1HOwFMdsI9vjo+P0MUivY60CSsj+uOdhHLA2D/ReifcQ2oz2c/Ok26/rnca0Z7EthRx5pFMFeNqf+2OWZeT6Wt73Y1ecs2JMvra/bsWifMEka3vR7hZ3c9PuTDW74uY72/BMx2fJZyut+rNn1Y41myR48Qc5mM5+XySDYBzHYR2yy6b/ntO9vV7T9HjfrQc7aJfvqNWbBXjbHfjO/nIPXr5XP2pz78m34rBXX4mva8F3+dfT4pj/XBtfny9psy++Z09zwY52OH2u14qzlIGvTYH+j8dDvKTU58cdmuuHzNO37+yva/jnOyb8m9kqyloJ9ipK7bknKY5O1Jzpn/jlPwf6Xs+txzk5v+r3+Tp7z84mvacH7kS2/GWN3fezHgpx1SnIWvHXSZBbshzbw5/3oxD8f4fvDTpCzZvQu0L8e9oOsSHHOFOVsjveOpQuxnPN/leTOno+W3R5AOXIGVIOsActHzoCLeUetiQAAAACAxbEQAwAAAICKsRADAAAAgIqxEAMAAACAirEQAwAAAICKXaS+vhJRRX3q+Sr5tO0rSCfX/ZgUV9Sf3PRr1OF130M53gvqsbd9zejm2siOrXeDetKSWu0iqPodTv3TfzryFaSnx0G1/7qvJy26/jnOjaCCNvvK7bXplh2TpOYkqPoN6knz0D8fK8HU1IdbQfT9cda2r1seX/d121JcUX9605+fgyBnsz1f59vfHtqxrTU/ttn1z3m7UVJfHxhMfSaORz5LB8f++Rj1/e2KYBuCMGeF/57r4/i1tD32z0ca+9cvW/W7SubIWgqylnf8sR7dCLZrkXTybPCa/mxwLbgRbJGy53OxszXwY2t+bLvjc9hpBrXRJU6n/rXmcOSP+YMTf1xPev52Rcvfny8MlNLMvyY0J/HraWfo89QIclhUvyXL5XI5i7ZdCXJWBDkbXg+uhZJObwQV9WHO/Lnd3vU529v2W4BcW/NjW22fs37TnyuSVATn7yA4fx8OfZbunvhz+6Dnbzds+WtT9HlSY+bPjeYozll34HOWRv65su8rg5zxiRgAAAAAVIyFGAAAAABUjIUYAAAAAFSMhRgAAAAAVIyFGAAAAABUjIUYAAAAAFSs+vp6U0GqqOp3rW/Hih1fqz28EVVeSoPrc1bUX/cVpGvPnNqxG1vHdux634/tdvz37Dbmr/o9mfrj83Dsj/ntNV/7ercTPB/NoBI2+1OxMfXnRnPo5ylJ/aAuNQ19tWtytfeFr3RdBakVVP2u+2M12/XP6+C6r7KVpOG1oM73ms9Zcd3Xx+7u+bw8t3lkx272D+3YXsfXAC+Ss+OZz9m9kT+ut/s+Z7c6ftuGk4avAU5FkLOxfz1sDeLX0maUs9MgZ8EWElqVZvv0+OMW1mqv+edosuvHBs/El+woa6NrvqK+cc3XMV/f85l598aBHXtX34890/ZZ6zXiWu3I0SyoqA9q4d/o7fix1rYd20/B9W7mq+2jrLUHUSW+1Dz0j6Nx4t8ryFVuT1fkmuZyFl3TNvyxmuz69w6lOdsLcvaMf+Fq7/nXwncFOfuRzQd27GbP3+5a218L1xr++ipJRfbnaJSz+z1/zP+xu2vHXm/5sbt2RBoF72ObUc5O4ue4HeSseexzlszWRynIGZ+IAQAAAEDFWIgBAAAAQMVYiAEAAABAxViIAQAAAEDFWIgBAAAAQMVYiAEAAABAxa6gvt5UkHZ8ZWta93W+411foznY9bXnkjTybZka7/kK0qii/vndfTv2oxu+gvT53kM7dq3lK0gXq/oNKuonvh57u+MrWNsNX5H8Zg4qXyf+7wSaw6CC9Dh+jtsH/txpHwUVpIPHP8aogrQ2kpTMdhBRzvKaz9J411fEjnbiv88Z7fqK+umury/f2fUV1z+y7XP2/g1fdvt8z2dwr+kr8ddLqn5n8ufFaeGP3e2Or8beae/ZsWbyOXs92GJhMPF5aA785WB4FOes89CfO50DP5ZOg7rtVZCk1Hj88U4dv61D3vCvveNtn9HRTvz6M9oJtoPY8deK6zv+3P/RLX9t+vF1n7Uf6d63Y8+EWfNV+mUOC3+u3Z74ivr1pr/PhoLXryKo+B75sfHAnxvDw/j1tLvtX0+6+/68SsePfz1N4xW5ptmczXdNm2z517vxdnxMxtv+nND2fDl735bPy/vXgpx17tmxG9F7xzT/e8coZ3fb/r1jvznffY6DLYweDv3Y+NTnbLQd56y3FWw/sR5sm2RyphH19QAAAABQGyzEAAAAAKBiLMQAAAAAoGIsxAAAAACgYizEAAAAAKBiLMQAAAAAoGLV1tenFNRq+5rJIqrVjipIt0oqSLd8BWlz29dV39gKqn6Divr/ae22v11QQRpV/a6VVP0W2a+1T7Kv59xr+arfqDJ/FlTUD6f+ubo99GOTYz/Psud4suXPq1bf1wCnlpnPCjT9nnX9Pn6o6x9zXg9ythlUxJY9B5u+ar2z5c/fGxv+vH/vhq/6/UDf5+y9Qc7C+vrka/alsvp6fw7uNH19ezv5LTQmQa5PJz4v3w1qsyeLPMdBztrB63dqV7+DyuVKkrmmRVkr1vxzNNnwz+1kI34ephv+nOlvBllbD65pa/6a9uO9IGvtKGv+vF8sa/582mr4bVcawXYQo+B7Hk38c3x66scmG8H1ruQ5jm7bia5pruZ9sAoXtSBn4XvH4L3Dhn+9m2zEs5lt+PNlbcPn7Nk1Xyf/7p7fkuV9XV9f/962H7veHNixXgoq+EscFX5rmXm3nxjM/PN4ENTFHwfvW6brUc7iz6EmwfnR6UU5M4/DbL8gXeATsZTSZ1NKd1JKXz/3td9IKX03pfSVs18fL/s+AGJkDVg+cgYsHzkDLuYi/zTxZUkfe8zXfyfn/KGzX39xudMCnkovi6wBy/ayyBmwbC+LnAGlShdiOecvSfL/NgHApSBrwPKRM2D5yBlwMYuUdfxKSumrZx8/77o/lFJ6MaX0akrp1Un2/0YbgFWaNXIGLIxrGrB85Aw4Z96F2O9Jer+kD0m6Jem33B/MOb+Uc34h5/xCO/kfqgPwWBfKGjkDFsI1DVg+cga8zVwLsZzz7ZzzLOdcSPp9SR++3GkBkMgaUAVyBiwfOQN+2FzdwSmlmznnW2e//QVJX4/+/FuYCsfU9tWVs7WgcnnNryWna/FUZkHV7+aar+C83vdVv8/3HtqxqKL++bav474e1IGuB5WYkjTLvqL0NEfVpvNV1B/N/N9cPVhbt2P7QT3pJHr+1///9u4uRLL0vu/47zn12t3zsju7q7Usi/gFXUQEooRFGGyMTMDIIiD7wsa60oVhc2GDA7kR5MIhEPBN3i5MYBOLFcaWE0iEdRGCjQjoLngdFNlGji0r8u5oZ6dnpt+qu97rPLnolt076t//tKq6Tp2a+X5gmJl+trqeOuf8zqkz1ft74n9LmO/6CtK846ttba12qrfqd5msJUmpdfV2iZaJmO9EY/51z/2ukySVuz5nezvL5exDPZ+zD3d9ln6wfeyfr/C12X23HMDf8DkbFD5nUUX9NPtj93jhN/rD/h079mTXnxRHQdVzlCNJmu/47ZN7/riyy0TUbNlrWjp/7NVjwWsre35s3g+uaRVZyzu+Vnuv75dkeaXvs/bBrq/V/sG2z+GrwXIQr7R8Xvpp+WNiEFy3iuSzP87+GD3s+uvWu727dmx/rhxwPgAAHHJJREFUx3egnwU184udqqz5c3EZZK2wS7LUd01bS86C945xzvzrXvjdI0nKfX/e3u35nL3Y9deCVzsnduwH2j6DPxAsBXGv8OeS3cKf76X4veNukDPJ5/6s7TfsSx2fpRf7/jU+2LntZ9L370eDt6rn473omuYzmgo35o+3yjNeSumLkj4h6eWU0n1Jvy7pEymlj+n83ce3Jf2Tqu8DIEbWgPUjZ8D6kTPgeipvxHLOn7niy7+1hrkAzzWyBqwfOQPWj5wB17NKayIAAAAAYAnciAEAAABAzbgRAwAAAICacSMGAAAAADWrtTs4qiBVVEHa9VWRi15U5VoxoW5Q9RtWkPoqzZfbAzv2UlTnG1TUv9Lyu6mX/Harclr651zI16wOgtf4sOPH7nRetGO9rq8On/T9fooqRiVp0fXHR+767eqrp+utr19KSpKrrQ3qbHPXjy06Qc66vuZWUpiz3a6vwX2h44/Buy0/9kIR1fn64+xuUOdbVfUb6ZRjOzbL/jwTnS9ebJ/ZsTtBRXKv41//MNiPZcVpJsxZx5+/baX2toiy1g6Wzuj4rEXbuuzEWUsdn7Wdjs/a7bY/Rm8XfuxOMPZC4edyt/A9/J0U17dHCvk8jYOsReeM6Fxzu+Ovod22z9ppsJ8WQV4kqQzOxdFx5ZY02YZLWpgz97ok5XZw3QpOPWW7ImfBeD/Y73ttf7zcDo6zveSP3d1g/90q/JvgypxFx4U/fHW78HONzhe3W35sp+XPXZ2WX0ogt/1Ey1ZFzoLjIwfH3DI54xMxAAAAAKgZN2IAAAAAUDNuxAAAAACgZtyIAQAAAEDNuBEDAAAAgJpxIwYAAAAANau3Ozis1Q4qWdtB1W/QQFldQeqrLXtBJWYvqMDuF75mczeoqN8LXn9UUb9K1e9u4b9vP/u59lP0Gn11aVRB2m377a3C78dc8U8JYQVpsM3tMgvbUPUbiXLmXrOkHBxmVfsgtfz+awcV1+3CHxP9oM63n3w+u8Fr7KX1nA6j/PaCuXaSf/3RWC/Ybu1W0Du8Qs6i8dwKQhPsj2dZmLVoW1dtrmAfFmm5sc6Sx2greI3Fmk6k0fUwaH1XkXwuorF2MNYK9kX48is2TY7Gg/P785i1KGehqoctmaVlRcdglLN1WcdzhhlUtL1vfCqSKnJ2w/hEDAAAAABqxo0YAAAAANSMGzEAAAAAqBk3YgAAAABQM27EAAAAAKBm3IgBAAAAQM24EQMAAACAmtW7jtiSUl5yXYaqhwULBZRrWESgDBaIWSz7GlewjueMXmMZLM5Rrunlr2FJj2dWlLNgiY/qnJXL5Swam2V/6poFi54tsl9/rAxeyPKr9Umz7NdamgXbLsxSMDaPzjPBvgj3Y8U+DnMWhXsD573aBK87zFqwpGKYQ0l54ffvvAyOmWBBznHuBmM+h9Mga5Ps1ybbTf75qkyyX6tyEhxq0TkjGpsE222+CP6dO8hh1T6OxtPiGc1azlJpXniUs3mwNlW0dOk8fv+X537fThbR8eLzMi79epPDsmfHzkq/5utusObrKoal/77j4Lo9ztFr9LkfLfzjpvNoMeHlcxYsF6wUHHPZ5SyIH5+IAQAAAEDNuBEDAAAAgJpxIwYAAAAANeNGDAAAAABqxo0YAAAAANSMGzEAAAAAqFllfX1K6fOS/rGk/Zzz37v42j1J/1nSD0v6tqRfzDkfVj5bVEG68F2Sae57H6OKyeoK0qBmc+43zdncV4kOFjv+cUEN8DCP7NhpVE9a+FpPKa6oHwZVv4Oglvek7PvHLfxYVEE6CypfU1AVG1XQShUVpMExl93YGhuAbyxrUc7mfoOlWVD1G7TgFrOKnM38/hvN/DExmAfHWXAMRsfnUZClThrbsX5avsB+UPqDcBDUfx+Vu3bsODjPDGb+/DQNzmsp2E+tihbkIujhj44rm7M1qu2a5r4uKU39WCvYlsW04t9Og/Hh1GftaOaPp+hYi47R26Wvr29puWr7KoPst+tRUI/9ZHHLjh3O9+zYydRvm8ksyNrUnzOjc60ktaZR1vz5Pc/Ndl1Trf1N5iwrqAWf+Q1WTP32aAXrGRSTiuWLgpydTfxxdjj1eXk8v23HnrQHdmy38Nc0yY/tVbx5it87+sc9WvjXuB+8xsczP3Yy89f0ydTnrBgH17Ros6kiZ9PgHOVyFrx5vM4nYm9K+uRTX/ucpK/knD8i6SsXfwewmjdF1oB1e1PkDFi3N0XOgEqVN2I5569KOnjqy5+W9IWLP39B0s/d8LyA5w5ZA9aPnAHrR86A61n2/xF7Nef8QJIufv+A+w9TSq+nlN5KKb01DT4mBXCla2WNnAEr4ZoGrN9SOZtl/2PjwLZbe1lHzvmNnPNrOefXuvL/7wKA5ZEzoB5kDVi/yznrJP//CAHbbtkbsYcppQ9K0sXv+zc3JQCXkDVg/cgZsH7kDHjKsjdiX5b02Ys/f1bS79/MdAA8hawB60fOgPUjZ8BTrlNf/0VJn5D0ckrpvqRfl/Qbkv5LSumXJb0t6Reu82RRBWmOKkgnviqyPfaVkK2KCtI09pXUw7CC1FfWPpzdsWP32i/YsX7yr38hX23fz8v/PwpRRf17QZ3vo7l/jU9mvur3cOxrTccjv72Lsd+PrYofHW9NggrpSVDfWrqx9fXX31TWwpzZatWqnPnt2B7F1e5pFFT9jv1+fzT2x+CDns/SC62hHesmv89n8o/bS3Gl9kL+GB2Wvjb8vYXP0ndmL9qx/amv+j2c+JyNopwF+6nlT0GSpPYoqoIO+riD43FdbvyaZir489S/7tbIj7VH/sew2hX7oRj6LJ6N/I9RPhr5rH2n54/D24U/AbeCc+W4dWrHVsuaf43vLe7asfvTl/zjJj6jB9E1beiz1hr6rLX9aeh8fBRd05bI2pouaTeZM0lSucR7x6Ef6wyDa1qwfySpdRq8dxwul7N3uj5nu4Vf7iEyDHIW195LZQ6u28FSTO/N/bX57enLduzB2Ofs8dC/r5yc+bl0h/5c0TmLD/z2MFjqZxTsj9n3v0xE5Y1YzvkzZugfVT0WwPWRNWD9yBmwfuQMuJ61l3UAAAAAAN6PGzEAAAAAqBk3YgAAAABQM27EAAAAAKBm3IgBAAAAQM0qWxNvVpYWphIyqPothr4qsnvqKyY7p1UVpH58eOorSB/u+urou11f59svgor67Gs2B+2B/55B7X2Vk9LXJEcV9f9v8oode2fkK1gfnfkK0tmZr/junQUVpKdxBWknOD7S2Ne32uppU6HbLEHOJv41RznrnPqq36qctYPx0cDnbH/HV/3e6tzz8wkq6qfZn/Jeiiq1K6p+I1HOHs6Cqt+Jf41vn/mxR6c+Z4uBz1n/dJWc+crxNPLbrpwuV8vcHFnKJhtB1tKZv050B74SvXsSZ2068PtwchJkre+zttP21e4t+fPCOPtj7V6YtfiYWLa+/uHM19e/M/Z5+utTP/Z44LNWBlnrBfupe1KRtRN/zU9Df1yVS9RqN0bOyuaaFi0TUQTbo3sS5SxekmV24vff6JavU9/v+Zz1Wsst5TEs/fO9HL13DN6PVhksllvC6Tvj4Ho38Dk7OPY5Syc+Z51gP3VP/Lnr/LFBzqJr2hLLRPCJGAAAAADUjBsxAAAAAKgZN2IAAAAAUDNuxAAAAACgZtyIAQAAAEDNuBEDAAAAgJrVW1+fpWzqv3NQYxxVkHZOfK1l9zh+ed3bQQXpnq/EfNT1FaSdwldihhX1i6DiuuMrSHcrqn7L7O+1o+d8MvPbNaqof/vEjx0HdbGtI7+vusd+u/WOfVW5JHVO/PZJZyM7lmemunQrqn6jnAVVv6d+e3SP/b7rHVVU/d72x+Bix+fsIMhZK8jZvPTPdzL3x/xLnTM7tlrVr3/OgyBn94e+6vf+sa/iPj3y+6p9GOTsyA6pfxxX/baPg6UghkHOXNXvtsgKarWXu6Z1D/227N2tyNotP77o+31/3PHH4dvJn/OmpX++o5k/Du91fdZ6xfLHxOnC19c/nvjzycORX5LmwbGv4x4d+hrv7oHfNr1DO6T+UXxNa5/4YycHx5XLWt6Ga5pkl4mIcpbPhnasc+iPz5278XvH+Z4fX/T9fh+2/HO+EzzfZOGf73Dqv+eLXf/6V8nZ2dzn7HAaVNsPfc4eHfl8zg798/UP/PW+f+CP7f5hRc6O/LbLo+i94/efMz4RAwAAAICacSMGAAAAADXjRgwAAAAAasaNGAAAAADUjBsxAAAAAKgZN2IAAAAAULN66+slX0Ea1BjnU191244qSG9XVJDu+vGy5ytIxy1fR/1uUFE/nvvnO9j19cF3Or4SfqcV12qXCir6F746/HDst+ujMz/XqKJej30Fae9JUEH6JKggPYgrWIsjf+yEFaSu6ldbXvVrqlUlKQ99XWs7qGneueWPI0maBxX1i47f7+PCHy/7pa+UHk/98z0Jcna3G1SKt5av+h3Ou3bsZBJU25/5LJ0d+8e1Hvvn6z/x54Odx76ivv8kXiajdRzlzG9Xmer3Z0F4TTvz26sIqpp3gmVVJGne93kqO8G1IPlj5nDhK6ejrB3s+uP3ds9X9HeK5Y+J0dzP53Tit+vxqc/T7Ng/rvPEX9P7j/323g2y1nvst40kFUHWyuAcbs/9W1Nfb+YZnEOipTOKo1M71t+vyFkvyFk7+nzDHy/DRbBk0CS6pvmc7fX8ebvXinNWLvledjjx55Lhqc+Sjv1r7D/x78d39v3xu/vIv8beY39sSFI6CXIWXNPcciZRzvhEDAAAAABqxo0YAAAAANSMGzEAAAAAqBk3YgAAAABQM27EAAAAAKBm3IgBAAAAQM02UF9/dYVjWKsdVEUWRwM71g9qsyVp0fO1n7kI7lGz32yTmX/cw7F/3NGerwfvdf226barKkj92GwRVPSPfAXp7Mxv19aRf41RRX1YQbofvP5HvmJUknTiK2rz2NcE+wrS+Okaw+UsqvpdMme9XpyzsuNreXPhj5dU+uNlMvV100dD/z0Ht3zO3gty1q7IWQ6qfudz/zqmY7/t8pl/HZ0jn93eQVCb/TDI2UO/FEanImf5xB8f5WSJnG2TJbIW1R8Xx/6c1e3587Ik7bX9vpf8Y9PCP24SVNSPh/44HO35jD7u+W1TVNRqK8jaYhHUio98noqzIE/H0dIqdki7+76ifvehz0T7sc+SJOXomjYNlrMxS5psu/AcEl3jj/12bnfit8Z7regzDF/RXgTXglbw/nB66o/PwS2f60HX7/PUrjgegpzluR9LYz/X1ql//d1j/z37B9H7Q/86dt7z59nW4xM7Jkl5EOUsWM5liZytdCOWUvq2pIGkhaR5zvm1Vb4fgKuRNWD9yBmwfuQM+Fs38YnYT+ecH9/A9wEQI2vA+pEzYP3IGSD+HzEAAAAAqN2qN2JZ0h+klP44pfT6Vf9BSun1lNJbKaW3ZvI/rwsgFGaNnAE3gmsasH7kDLiw6o8m/kTO+d2U0gck/WFK6c9zzl+9/B/knN+Q9IYk3Un3tqXqAGiaMGvkDLgRXNOA9SNnwIWVPhHLOb978fu+pC9J+vhNTArA+5E1YP3IGbB+5Az4W0t/IpZS2pNU5JwHF3/+GUn/cumZBJWPUSVrVJvcavsaTUnabQUVnNlX7xbzoJ5z7O9tZ6dBJfyurwie9IM6zGL5fyhKQZVqMfbbpnfmx8IK0ifLVdT3HwztWPEkriAtT33tdp7753SV1Jtwo1kLc+YrWaPtWLTinPVTUKld+iUkWlN/emqP/PecDnyW5rtBRXDf7/NJa4Wczfxc25Ng7DTI4LF/vv6ToDZ7359Le+/5ut50EDyhpHI4smPR0iTPbM6k8LWFy7WcBVkLlgCRJH/VklJ5y461gor69jDI2h2f/fmuH1v0/LYp49NJqBUcat3gmtYOVmfoHfu59g+C6uygor6zH1TUH1ZlzV8Pwyr3hmSt1pxFS0gE27E4jHMWLdhya3HbjrUnvtq+HSyh0LkTLI8SXNNK/3Qq2xXHQzBcBPX1reCnSDv+EqNukLOdJ8H7w0dBRf0jn6V8VJGzYImRm87ZKj+a+KqkL6XzN1ltSb+bc/4fK3w/AFcja8D6kTNg/cgZcMnSN2I5529J+vs3OBcAVyBrwPqRM2D9yBnwftTXAwAAAEDNuBEDAAAAgJpxIwYAAAAANeNGDAAAAABqxo0YAAAAANRslfr6mxWtBTH3a9+UfvkaFRXrBEQvfnd+x461xjt2rHPq14KYBmtBzPb8PfGi58fyCrfSRbAUQssvoaDOqd9XvWP/TfsHfi2I7qNo7Ry/VlgZrCMnSXniF7UI14J4Vi255opGPmjBKneSpFbwnDsz/5ztkV9jrHsarLt3J1jLb9dnsOwFY1VnynDNFT/WGvsHds6C9YuO/HbrHfj14NoHwYJJwVph5SBYAEbxGnTR2nXPrWXX86s436Uga71g7bLWyK8x1h349S+jdcSirC2C9Y1ysL5nlWLmX39rEmXN74/omtY9CNYwOvCZycf+mpbP/PpWUsW6fOVzeE2LBNsj+7eVlee7YuGPl06Us2GQs2O/CuD0jr8AzXaj947BNW2F9fqKuc9SO7imdU/9/uic+O3WPvTvP4ojf06M1hmO1gmT4vuOm16Tj0/EAAAAAKBm3IgBAAAAQM24EQMAAACAmnEjBgAAAAA140YMAAAAAGrGjRgAAAAA1Kw59fWRZavtg6ZmSSrKoOo2qCDdOduzY51jX7k9u+Mrt+e7vkt00V2+VjstW6s9CepZwwpSX71cHAU75MTXxZan/nFRPb1UUcl+wxWkW28N1faSVJb+WEpTn9/e0NfLto99Bvt3fN32fMcHZtGPqn7jSu0wZ2Gltt827bOgBnngt01x4uuvc1DLHNVml8F+On9wUFFPzr7XklnL4/h8VyyZtc7If992cE3r7/ke+vmev96VXf9vwFVZixQz//qjrLWGwXUryFoaBNemKE/RsipRPb1ERf1NWbLaXorfk6S5338pqEzvnficdXZ9tX25G+XMv6/M7fhzmGgpjBTU1xcT//qLIGcpuN7nYHtHNfQ5OOeF9fRSrdctPhEDAAAAgJpxIwYAAAAANeNGDAAAAABqxo0YAAAAANSMGzEAAAAAqBk3YgAAAABQs+2or48sWW0vSeUwqPqNKkjHvi6zM/CVte0dX/Wbd3zldu763ZSL5at+0yJ4/RNf7ZqCCuV05qvMc1BzHtUy52BfhLXqEtXZN2XZantJOaiXjXJWBBXPRVAN3TrwOev0fM7UCXJWUfUbbZ+0CI7BoF43jX3Vb5SlchI8LspZtB+pzK5PdM7K8X4o/a6vON8H5/SgOrrV91lrdX2tdg6ypmL5fx9O82D7BLXweRpsuGDblOu4bnHN2ryK812OlusY+bHoOEtDf05PQZbaHT+maGyF944KziV5FrzvDq53ZbBtwixFyz1sybIqfCIGAAAAADXjRgwAAAAAasaNGAAAAADUjBsxAAAAAKgZN2IAAAAAUDNuxAAAAACgZivV16eUPinp30tqSfpPOeffuJFZ3ZSKesqoQjaqeU5BXWaKqrrbfnOnoM43fFxavoI0BxWkUX1rDipIo+pS6nyX1+isVe2foHI7T/0xWEbHRFS3HeWl1fLfMxhLq1T9lsH2CV5juWRlb5yl7ajz3ZRG5+w6ovN2sO+jYyZF1e5Dv4zE0llb4ZpWRsdwdL2PMhM9Lso2WbO2PmfhsklBnXp0LEXvK8dBloJrU5ilFZaJUBmcS5bN4HOcpaX3REqpJek3Jf2spI9K+kxK6aM3NTEA58gasH7kDFg/cga83yo/mvhxSd/MOX8r5zyV9HuSPn0z0wJwCVkD1o+cAetHzoBLVrkR+5Ckdy79/f7F194npfR6SumtlNJbM/kfJwJgVWaNnAEr45oGrB85Ay5Z5Ubsqh8+/Z4f1sw5v5Fzfi3n/FpHvRWeDnhuVWaNnAEr45oGrB85Ay5Z5UbsvqQPX/r7D0l6d7XpALgCWQPWj5wB60fOgEtWuRH7I0kfSSn9SEqpK+mXJH35ZqYF4BKyBqwfOQPWj5wBl6SwarLqwSl9StK/03kF6edzzv+q4r9/JOmvL/76sqTHSz/5zWvSfJo0F6lZ89n0XP5OzvmVup/0+8naUzmTNr/NLmvSXKRmzadJc5E2P5/as8Y1bW2aNBepWfPZ9Fy2LWfS5rfZZczFa9J8Nj0Xm7OVbsRWkVJ6K+f82kae/ApNmk+T5iI1az5Nmsu2aNI2a9JcpGbNp0lzkZo3n6Zr2vZq0nyaNBepWfNp0ly2RZO2GXPxmjSfJs3laav8aCIAAAAAYAnciAEAAABAzTZ5I/bGBp/7Kk2aT5PmIjVrPk2ay7Zo0jZr0lykZs2nSXORmjefpmva9mrSfJo0F6lZ82nSXLZFk7YZc/GaNJ8mzeV9Nvb/iAEAAADA84ofTQQAAACAmnEjBgAAAAA128iNWErpkyml/5tS+mZK6XObmMNT8/l2SulPUkpfSym9VfNzfz6ltJ9S+tNLX7uXUvrDlNJfXvz+4obn8y9SSt+52D5fu1gDpI65fDil9D9TSt9IKf1ZSunXLr6+se2zTcjZ9zx/Y7JGzp4tTcoaOaucCznbUk3K2cV8eO8Yz4esXUPtN2IppZak35T0s5I+KukzKaWP1j2PK/x0zvljG1hn4E1Jn3zqa5+T9JWc80ckfeXi75ucjyT924vt87Gc83+vaS5zSf8s5/x3Jf24pF+5OFY2uX22Ajm70ptqTtaumotEzrZOQ7NGzvxcJHK2dRqaM4n3jtF8JLJWaROfiH1c0jdzzt/KOU8l/Z6kT29gHo2Qc/6qpIOnvvxpSV+4+PMXJP3chuezETnnBznn/33x54Gkb0j6kDa4fbYIOXtKk7JGzp4pZO0ScnY1crYycnZJk3IWzGcjti1rm7gR+5Ckdy79/f7F1zYpS/qDlNIfp5Re3/BcJOnVnPMD6fyAkvSBDc9Hkn41pfT1i4+fa/84N6X0w5L+gaT/pWZun6YhZ9fTtGOJnG2fpmWNnFUjZ9unaTmTmpe1Jh5LZK3CJm7E0hVf23SH/k/knP+hzj/y/pWU0k9teD5N8x8k/Zikj0l6IOlf1/nkKaVbkv6rpH+acz6p87m3GDnbPuRsOzUta+QsRs62U9NyJpG1KmTtGjZxI3Zf0ocv/f2HJL27gXn8jZzzuxe/70v6ks4/At+khymlD0rSxe/7m5xMzvlhznmRcy4l/UfVuH1SSh2dB+l3cs7/7eLLjdo+DUXOrqcxxxI521qNyho5i5GzrdWonEmNzFqjjiWydj2buBH7I0kfSSn9SEqpK+mXJH15A/OQJKWU9lJKt7/7Z0k/I+lP40et3Zclffbiz5+V9PsbnMt3D9jv+nnVtH1SSknSb0n6Rs7531waatT2aShydj2NOZbI2dZqTNbIWTVytrUakzOpsVlr1LFE1q4p51z7L0mfkvQXkv5K0j/fxBwuzeVHJf2fi19/Vvd8JH1R5x/ZznT+Lz6/LOklnTe6/OXF7/c2PJ/flvQnkr6u8wP5gzXN5Sd1/qMHX5f0tYtfn9rk9tmmX+Tse+bQmKyRs2frV1OyRs6uNRdytqW/mpKzi7nw3rF6PmTtGr/SxaQBAAAAADXZyILOAAAAAPA840YMAAAAAGrGjRgAAAAA1IwbMQAAAACoGTdiAAAAAFAzbsQAAAAAoGbciAEAAABAzf4/1ibyq+NUkpYAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1080x1080 with 16 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from astropy.visualization import simple_norm\n",
"nrows = 4\n",
"ncols = 4\n",
"fig, ax = plt.subplots(nrows=nrows, ncols=ncols, figsize=(15, 15),\n",
" squeeze=True)\n",
"ax = ax.ravel()\n",
"for i in range(nrows*ncols):\n",
" norm = simple_norm(stars[i], 'log', percent=99.)\n",
" ax[i].imshow(stars[i], norm=norm, origin='lower', cmap='viridis')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"PROGRESS: iteration 10 (of max 10) [0.2 s/iter]\r"
]
}
],
"source": [
"from photutils import EPSFBuilder\n",
"epsf_builder = EPSFBuilder(oversampling=4, maxiters=10,\n",
" progress_bar=True)\n",
"epsf, fitted_stars = epsf_builder(stars)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x1327fac710>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from astropy.visualization import simple_norm\n",
"norm = simple_norm(epsf.data, 'log', percent=99.)\n",
"plt.imshow(epsf.data, norm=norm, origin='lower', cmap='viridis')\n",
"plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9999999999999998"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"epsf.data.sum()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1327fda910>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# should be \"truth\" ePSF\n",
"m = IntegratedGaussianPRF(sigma=12., x_0=50., y_0=50., flux=1)\n",
"yy, xx = np.mgrid[0:101, 0:101]\n",
"data2 = m(xx, yy)\n",
"plt.imshow(data2, norm=norm)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1328012290>]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(data2[50, :], color='red')\n",
"plt.plot(epsf.data[50, :])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0xb2712ae50>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(epsf.data - data2)\n",
"plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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