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March 11, 2025 19:15
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "7a7ad55e-a696-4607-9354-1470e114328b", | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2025-03-11T19:14:34.664715Z", | |
"iopub.status.busy": "2025-03-11T19:14:34.664029Z", | |
"iopub.status.idle": "2025-03-11T19:14:34.680693Z", | |
"shell.execute_reply": "2025-03-11T19:14:34.680266Z", | |
"shell.execute_reply.started": "2025-03-11T19:14:34.664687Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"from astropy.modeling.models import Gaussian2D\n", | |
"from photutils.centroids import centroid_quadratic\n", | |
"from photutils.datasets import make_noise_image\n", | |
"from photutils.profiles import CurveOfGrowth, RadialProfile\n", | |
"\n", | |
"# create an artificial single source\n", | |
"gmodel = Gaussian2D(42.1, 47.8, 52.4, 4.7, 4.7, 0)\n", | |
"yy, xx = np.mgrid[0:100, 0:100]\n", | |
"data = gmodel(xx, yy)\n", | |
"bkg_sig = 2.4\n", | |
"noise = make_noise_image(data.shape, mean=0., stddev=bkg_sig, seed=123)\n", | |
"data += noise\n", | |
"\n", | |
"# NOTE: error is optional\n", | |
"error = np.zeros_like(data) + bkg_sig" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "87d98ce2-7b5a-478a-b60e-891706549afe", | |
"metadata": {}, | |
"source": [ | |
"### Radial Profile - No Background" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "67551f7d-3a95-44a2-b5be-c54136fc4ac5", | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2025-03-11T19:14:34.681365Z", | |
"iopub.status.busy": "2025-03-11T19:14:34.681257Z", | |
"iopub.status.idle": "2025-03-11T19:14:34.746661Z", | |
"shell.execute_reply": "2025-03-11T19:14:34.746414Z", | |
"shell.execute_reply.started": "2025-03-11T19:14:34.681352Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.collections.PathCollection at 0x110c652b0>" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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QERFRZmNgSp7cdHx/dC0vxJqKXbj/3UUxHzJAREREmYuBKXlSkp+De88cZFx+ZuZKzFm+NdlNIiIiojTBwJQ8G92nPc4Z1t24fNMrX2NXbUOym0RERERpgIEpReSWk/ZFp9ICrNiyExM/+N7bgzlLn4iIiCwwMKWIlBbk4u7TBxqXn/z0B3y16if3D1az9KfcyOCUiIiImjEwpYiN2bcjTh/aFY1B4MZXvkFNvcsufZmdH8gGgg0sIUVERETNGJhmshh0qf/x5P3QriQPSzdW4ZGpS909SGbnn/gAS0gRERFRCwxMM1kMCt+3Ls7DnaeGuvQf+3gZFqzZ5u6BLCFFREREJgxMM1mMCt+fMKgzThrUGQ2NQaNLv66hMWZNJCIioszBwDSTxTBrefvPBqB1US6+W1eJpz5bHpPmERERUWZhYEoxGY/avlU+xp+wr3H5rx8uRcXOWtePjfQ5iYiIKL0wMKWYjUc988Bu6NexFSqr6/HotKXRl4eKwRhYIiIiSh0MTCny8aimjGZ2VgA3n9jfuPzMjJVYvXVndOWhYjQGloiIiFJDIBgMBpHCKisrUVZWhm3btqG0tDTZzcksEpRKRlOCRxmrCkBOp/OenI0Zy7bgtP274KFzhobuK8GrBKUSZHImPhERUUapdBmvMWNKkdMzmk3Z08Dn/2wea/ravLW7y0e5mWjFMaVEREQZjYEpRU4PNrXxoIO6leHU/bsYd5nwzndGFtUVjiklIiLKaAxMKTZM40FvOLYf8rKz8NnSLfhkyeaItkFERESZhWNMKTIuxoze9da3eHL6cvTv1ApvXzPamBxFREREmafSD2NMH3vsMQwePNhogPyMGDEC77zzTvPt1dXVuPLKK9G2bVuUlJTgzDPPxIYNG+LZJIoVu253bZzoVUf1RmlBDhat347JX61JVkuJiIgoRcQ1MO3WrRvuvfdefPHFF/j8889x1FFH4dRTT8XChQuN28eNG4c333wTL7/8Mj7++GOsXbsWZ5xxRjybRLFi1+2uBazlRXm48sjextV/fn8xqusa3E164iQoIiKijBTXwPSUU07BiSeeiD59+qBv3764++67jczorFmzjFTupEmT8OCDDxoB64EHHoinnnoKM2bMMG6nFJn4JPQg0hSwXjiyF7qWF2Ldtmo89dkKd9lX/e9IglQGtkRERCkpYZOfGhoa8MILL2DHjh1Gl75kUevq6nD00Uc336d///7o0aMHZs6cabudmpoaY5yC/kNJZA4qTWWhCnKzcf2xfY3Lf5u2FFt3aEuV2mVf9b8jmanP2f1EREQpKe6B6fz5840saX5+Pi677DJMnjwZ++23H9avX4+8vDyUl5e3uH/Hjh2N2+xMmDDBGDyrfrp37x7vl0BRzqQ/bf+u2LdzKbbX1OOvHy7dM6tprnGq/x3JTH3O7iciIkpJcZ+VX1tbi1WrVhld96+88gqefPJJYzzpvHnzcPHFFxsZUN3BBx+MI488Evfdd5/l9uT++mMkYyrBKWfl+9unSzbh/ElzkJsdwNTrjkCPfx28x6pRRERElJ58MStfSFa0d+/exhhSyXYOGTIEf/nLX9CpUycjaK2oqGhxf5mVL7fZkcyrmuWvfiiGnMZnRjF2c3Sf9hjdpx3qGoJ44P3FzGoSERFR8gvsNzY2GhlPCVRzc3MxderU5tsWL15sZFdlDColidP4zCjHbt58Qn8EAsCbX6/F153ODL9EKREREWWUuAam48ePxyeffIIVK1YYY03l748++gjnnXeekc695JJLcN1112HatGnGZCjp2peg9JBDDolns8iJUyYzyizngC5lOH1oV+PyPVM8LFVKREREGSEnnhvfuHEjLrjgAqxbt84IRKXY/nvvvYdjjjnGuH3ixInIysoyCutLFvW4447D3/72t3g2icKRDKZdFtPpNpcrQ11/bD+89c06zF6+FdMWb8RR/TvGqOFERESU6rgkKcWHjEW1mdw0Ycp3eOKTH9CnQwneuXY0crITPqKEiIiIMnHyE2Uoh27/K47ojbLCXCzZWIX/fvljUppHRERE/sPAlOLDXJtUU1aUi6uPCi1V+uD/vsfO2vokNJCIiIj8hoEpJcX5udPQLWsrNlTW4J/Tlye7OUREROQDDEwpKfJnTsSN2c8Zlx//+Adsrmq50IIrqq7qK5dEXF+ViIiI/IOBKSXHqHE4pWgRBmavQlVNPR6ZusT7NlRd1YWTo6qvSkRERP7AwJSSY9glyCooxi1Z/zL+fHb2KizfvCOyCVYDTucqUkRERGkgrnVMiRyNGoeR0yfiCNTgow35eOC9RfjbeQe6f7yXuqpERETke8yYUtJn7t/8y6ONpUqnzF+Pr1b95DyelONIiYiI0hYDU0q6/p1KcdYB3YzLE6Yssl6qVI0n5ThSIiKitMXAlHzhumP7Ij8nC3NWbMUH323c8w7dhwOB7NBvIiIiSksMTMkXOpcV4pJRexmX733nO9Q3NLa8w+rZQLAh9JuIiIjSEgNT8o3LjtgHrYtysWzTDrz0+Y+ulzglIiKi9MDAlHyjtCAX14zpY1ye+MH32FFT72qJ04TjRCwiIqK4YGBKvnLe8J7o0aYIm7bX4MlPfbpUKSdiERERxQUDU0ou07KieV89hZuO72fc9MQny4wA1Xc4rICIiCguGJhSclksK3rSoM4Y0q0MO2sb8Jep3/uvK91PwwqIiIjSCANTSi6LZUUDgQDGn7ivcfPzc1Zj2aaqlo9hVzoREVFaYmBKiWXOdqrs41mTWmQhD9m7LY7etwMaGoO4/91FLbfBrnQiIqK0xMCUEstDtvN3x/dHVgB4b+EGfL5i6+4b2JVORESUlhiYUmJ5yHb26dgKZw/rbly+Z8p3oaVKkz2+lIiIiOKGgSkllsds59ij+6IwNxtfrqrAewvXc3wpERFRGmNgSr7WsbQAvxkdWqr0vncXo24kx5cSERGlKwam5HuXHr4P2hbnYfnmHXgheDTHlxIREaUpBqbkeyX5Obj6qN7G5UemLsGu2obdN7oZc8pxqURERCmBgSmlhF8O74FurQuxcXsNnp6xYvcNbsacqvt8eCcDVCIiIh9jYEopIT8nG+OO7mtcfuyjpdi2s879LH91nyA4cYqIiMjHGJhSyjhtaFf07ViCyup6PPHJMvez/NV9xtwKFLYGaqqYNSUiIvIhBqaUMrKzArjh2H7G5X9+thwbK6u9bUAC1LwSoPonZk2JiIh8iIEppZRj9uuIoT3KUV3XiEc+XOp9A1zOlIiIyLcYmFJKCQQCuOm4/sbl5+eswsotO7xtgMuZEhER+RYDU0o5I7a+hsPyFqO+MYiJ//s+2c0hIiKiGGFgSqln+kTchGeMi69/vRbfratMdouIiIgoBhiYUuoZNQ4DWzfgpG67EAwC//fe4j3vw6L6REREKYeBKflPuKCyaZzo9Wcfb8zUn7poIz5fsbXlfdwU3iciIiJfYWBK/uMyqNy7fQl+cVA34/L97y5GUNKnCmffExERpRwGpuQ/HoLKa8b0QV5OFuas2IqPvt+0+wbOviciIko5DEzJfzwElZ3LCnHhiJ7NWdPGRi1rSkRERCmFgSmlvCuO6I1W+TnG7Py35q9LdnOIiIgoQgxMKeW1Ls7Dbw7b27j85/cXo66hMdlNIiIioggwMKXkiWFJp0tG7YW2xXlYuWUnXvp8dUyaR0RERInFwJSSJ4YlnYrzc3DVUb2Nyw9PXYJdtQ0xaCARERElEgNTSp4Yl3Q6d3gPdC0vxIbKGjwzc0VMtklERESJw8CUkifGJZ3yc7Ix7pi+xuXHPlqGbbvqYrJdIiIiSgwGppRW41NPH9oVfTqUGEHp3z9ZFtW2iIiIKLEYmFJqj0+dcmOLgFKWKL3huH7G5X9O+w4bP33K/ba4fCkREVFSMTCl1CTjUgPZQLBhj4Dy2P06Yv/cVdiFPPz1w6XutsXlS4mIiJKOgSkln9uudP1+Mi71xAcsA8pAIICbDikxLj9fPQKrtuyM71hXDgUgIiKKCQamlHxuu9LN93MIKEeedD5G92mHumAAEz/4Pk4Nt2mXHQawREREjhiYUvK57Uq3up9DsHdT90XG79e++hGL1lfGL0h0236OZSUiInIUCAaDQaSwyspKlJWVYdu2bSgtLU12cyjRJLiUYE8CQ8memm67YtMZmNI4HEd3rsaT157p7nHxIkGwBKUSwMaoRBYREVE6xWvMmFJqc8pWjhqH63NfQTYa8MG6Anyxcqv14xLVxR7juq1ERETphhlTSm9zJ+F3b6/Ci9UH4+C92uDFSw8xJke1kIzsKRERUQapZMaUMopd1nPYJbh27M3Iy8nCnOVb8fH3m/Z8LMtFERER+QIDU0oPDhOLupQX4oJDehqXH3hvMRobg3uWnnLTxc5Z9URERHHFwJTSQ5is5xVH9kZJfg4Wrq3E2/PXRTZDnrPqiYiI4oqBKaUuD1nPNsV5+M3ovY3LD/7ve9SN9FZ6ysAufyIiorji5CdKXR4nLVXV1OPw+6dhy45a3HP6IJw7vEdU2yMiIiJ3OPmJ0p/HDKZ05V95ZG/j8l+mfo/quoaotkdERESxxYwpZZSaWZNw1Bv5WNPYGrec2B+XHrZPsptERESU9iqZMSXaU/7MiRib9aJx+W8fLUNldV2ym0RERERNGJhSZhk1Dme0WYE+repQsbMO//jkh923sRwUERFRUjEwpcwy7BJkXzcf1596iPHnpOnLsWl7Teg2loMiIiJKKgamlJGOG9ARQ7qXY2dtAx6dtjR0JSc/ERERJRUDU8pIgUAAvzuun3H52dkrsXrrTvcrQBEREVFcMDCljDWydzuM6t0OdQ1BTPzge/gKx7sSEVEGYmBKGe3Gpqzp5K/WYP6P2/wTjHK8KxERZSAGppTRZJzpz4Z0gVTzHffSvD2L7ofLZMYys6kHoxzvSkREGYiBKWUGhwDy9p8NQPtW+Vi6sQoPvLfYeTvmTGYsM5t6MMrxrkRElIHiGphOmDABw4YNQ6tWrdChQwecdtppWLy45Qd/dXU1rrzySrRt2xYlJSU488wzsWHDhng2izKRHkCqIPWVS4zfbb79N+47c1Bz+agZyzbbb8ecyYxlZpPBKBERZbi4Lkl6/PHH45xzzjGC0/r6etxyyy1YsGABvv32WxQXFxv3ufzyy/H222/j6aefNpaquuqqq5CVlYXPPvvM1XNwSVJyRY3blABSBamBbCDYEAosxy3A+Ffn4/k5q9ClrADvjjsMpQW5yW41ERFRWnAbr8U1MDXbtGmTkTn9+OOPcdhhhxmNa9++PZ577jmcddZZxn0WLVqEfffdFzNnzsQhh4SKoDthYEoRB6ndhwOrZzd3ne+oqccJf/kUq7buxJkHdMOffzEk2S0lIiJKC27jtYSOMZXGiDZt2hi/v/jiC9TV1eHoo49uvk///v3Ro0cPIzC1UlNTY7w4/Ycooi7zsya16Dovzs/Bg78YgqwA8N8vf8S7C9ZH/hyRTIpiiSgiIspwCQtMGxsbMXbsWBx66KEYOHCgcd369euRl5eH8vLyFvft2LGjcZvduFWJuNVP9+7dE9J+ygwH9WqD3x6+j3H5lsnzdy9XmohyTywRRUREGS5hgalMcJLxpS+88EJU2xk/fryReVU/q1evjlkbKc25zEiOPboP+ndqha07ajH+1W/gerRLtOWeWCKKiIgyXEICU5nQ9NZbb2HatGno1q1b8/WdOnVCbW0tKioqWtxfZuXLbVby8/ONsQn6D1HMMpJzJyH/kSF4qM1k5KEeH3y3ES99vtpdoBttuSfOyiciogwX18BUMk0SlE6ePBkffvgh9tprrxa3H3jggcjNzcXUqVObr5NyUqtWrcKIESPi2TTKRG4ykk3Ba//lz+D6nJeMq/705rdYvXWn7X0x5cZQcKoHlhwvSkRE5FlcZ+VfccUVxoz7119/Hf36hZZ+FDI2tLCwsLlc1JQpU4xyUZL9vPrqq43rZ8yY4eo5OCufYlpKSjTN2G9YNQe/bPwT5mzOw8G92uD5Sw9BtsyM0h8nQalWcqqZBKUStJqvJyIiykCVfpiV/9hjjxkNOOKII9C5c+fmnxdffLH5PhMnTsTJJ59sFNaXElLShf/qq6/Gs1lE9l38KuvZcySyA0H834HbUJyXjTkrtmLS9B9aPk7ue+ID1llYjhclIiLyLKF1TOOBGVOKacZUje/UMp4vHDoFN786H3nZWXjj6kPRv1NpbJ+LiIgozVX6IWNKlDDRjOmUAFGtCGUxkensYd1x9L4dUNvQiHEvfo2a+obI28mSUERERLYYmFJ6iDbgMz9em8gUCAQw4YzBaFOch+/WVeIvHyyJvJ3s4iciIrLFwJTSQ7QBX5jHt2+Vj3tODy0M8fjHy/DFyq2RPQ9LQhEREdniGFMiD657aR5e/XINerYtwpRrRhvLmBIREZEzjjElinTcqcPjbv/ZAHQpK8DKLTtx95TvYtdWIiIiYmBKGTzu1C4AdXhcaUEu/u/nQ4zLz81ehWlv/Dv6Qvosxk9ERGRgYEqZO+7ULgAN87iRvdvhV4eGVjG7aVYOfqr4KbpZ9pypT0REZGBgSukr3EQjuwDUxQSlm47vh94dSrCpsRR/aLwMweqqyDOenKlPRERk4OQnogjN/3EbTv/bZ6hvDOIvuX/FqW1Wc/lRIiIiC5z8RBRrprGgg7qV4ZoxfYzLt9b/CusOuD7JDSQiIkptDEyJohgLesUR+2BI93JUBotw45L90NiY0h0QREREScXAlMhqVrzVdRZjQXOys/DgL4agIDcL05duxr9nrUxw44mIiNIHA1Miq1nxVtfpk6K0wHWf9iUYf8K+xl0mvPMdlm2qcv/cLBVFRETUjIEpkdWseLlc2BqosZltP/XOUOAqvwGcf0hPjO7TDtV1jbjuxXmob2h099ym7RAREWUyBqZEVuWh5HJeCVBtqlGqMpwNNaG/A6FfWVkB3H/WYJQW5ODrH7fh0WnL3D13wPSbiIgogzEwJfKSSVVd/Nn5oduOurX5ps5lhbjztIHG5Yc/XIJvfqwI/xzyeNN2iIiIMhXrmBJ5IRlTCU4lWLUowC9vp6ue/wpvf7MO+7QvxtvXjEZBbrarxxIREaUr1jEliocwq0IFPv8n7lp3GToUNGDZph24791Fe2Zbp9zIyU5EREQWGJgSRUufWT99IlpvX4z7Cp4xbnrqsxWYsXRz6H7GkIAAEGwA3r6ewSkREZEJA1OiaOmlpZrGpR455kScN7yHcfMNL3+Nyuq6UJa1oLzpQcGWk6oUlo8iIqIMxsCUKJaTpLSu/ltO3Bc92xZh7bZqPPDu4tB9x9waKkNV0LrlpCqn+qlEREQZgpOfiOJIuvHPfXI2AgHglctG4MCebZwfwAlSRESUhjj5iSieXHa5j+zdDj8/sBvk69/N/52PmvqGqCZXERERpTMGpkSR8NDl/vuT9kW7kjws2ViFxz/6wX1gy/GmRESUYRiYEsWq+L6N8qI8/PGUAcblR6ctxdKN290FthxvSkREGYaBKVEkPHa5nzK4M47s1x61DY0Y/+p8NB7qIrD1EPwSERGlAwamRAkQCARw1+mDUJSXjbkrfsLzwaPtA1vVhS843pSIiDIIA1OiBOlaXogbju1nXL53yiJsqKy2viO78ImIKEMxMCVKoAtH9sKQ7uXYXlOP215faH2n7sOBQHboNxERUQZhYEoUT6aZ9dlZAdx7xiDkZAXw7sL1eG/h+j0fs3p2aNlS+U1ERJRBGJgSxYsEo1Nu3KNbft/OpfjNYXsbl//4+oLQcqVuJz2xhBQREaUxBqZEkXATIEowKplP6ZY3BZnXjumDXm2LsKGyBve/u8j9jH+OPyUiojTGwJTIi1cuAe5oA7z3h/ABosp8nvjAHkFmwbyncU/jQ8bl/8xahc9XbHX3/HbZVGZSiYgoDTAwJfJi4eRQFrR+l3ON0XBr3k+fiJG7PsLPC+Yaf978qovlSs3ZVD0YZSaViIjSAANTIi8GnB7qmh94pnON0XCBYlPm8/fH9DCWK10qy5VOuM5dxlMFpO83ZW0/vJPF+ImIKC0EgsFgECmssrISZWVl2LZtG0pLS5PdHCJ3GVPNG1+vxTXPf4U81GFK24fR+8YPnbctQakEpAgACAIFrYGbV8S2/UREREmI15gxJUrykqXGcqWdqlGLXIzH1WhsDDqPH1XZUcnayu8xt8bpRRARESUWM6ZEPsicrqnYhWMe+AA7G7Jw99BtOO/sc/fMkEoQKsEuERFRimHGlChRnGbEu5yUZCxXWvSWcfneefktlyvl+FEiIsoQDEyJouUUfHoIKi885mAMyVmF7cGClsuVehgWQERElMoYmBJFyyn49BBUZh98Ce698jzn5UqJiIjSGANTomjFMKMpy5Ve6rRcKRERURpjYErkM9c4LVcaTrgVoNTtsoIVV4oiIiKfYWBKlEgulg4tyM3GPWcMcrdcqXl74SZbqdtlBSuuFEVERD7DwJQokcyBo02gOnKfdvjFQd3CL1dq3l64yVbqdlnBijP9iYjIZxiYEiWSOXB0yHDecuK+zcuVPvbRMnfbczse9qxJ0Y+LdZH9JSIi8oIF9on8UIC/+3Bg9ew9CvG/+fVaXC3LlWZnYcq1o9C7Qyvn7SWyGD8L/xMRkUsssE+UClQGU4JSi8zpyYM746j+HVDb0Iib/zt/z+VKzSIpxh9p5pOF/4mIKMYYmBIlmlUgaBPkBQIB3HnaQBTlZePzlT/huTmr7Ldht/xpuMDT5epUe2DhfyIiijEGpkSJZhUIOgR5xnKlx/YzLt/3ziKs31a9exsf3rk76LQLMMMFnsx8EhGRTzAwJUq0CALBC0f2wpDu5dheU4/bHvxLaEyqbEN69lXQabfdcM/HzCcREfkEJz8RpYjv1lXilL98hHpk4/Gyf+H48S/ad98TERH5CCc/EaUZY7nSTkuNy3/c+fPQcqXMdhIRURphYErkNw6Tla5p/Bd6BdZjY10h7rvvDtYQJSKitMLAlMhvHCYrFYy+GveUv25cfnbXCMz9cHISGkhERBQfDEyJ/MZpstKwSzDyd2/gF712Gn+Or/8NqutslivVcZUmIiJKAQxMiVLQLRecinYl+Vi6PQf/997i8A+ItFYpERFRAjEwJfIbuyBSy3qWF+Xh/rMGGVc/OX05Zrz9b+ttqccUtwMC2aEyU0RERD7FwJQoVbryTQHrUf074tzCWcbl6z/LwrZddXtuSz1m3TdAsCG09Gm0YjUsgMMLiIjIhIEpkd/YlYCyCFh/f+xe6JW9Gesay3Hb6wv23JZ6TOfBscuYxmpYAIcXEBGRCQNTohQOWItH/AoP/vZnyAoAr81bize/Xmv9mB2bw2dM3WYwY7WEKZdCJSIiE678RBQvCVyV6cH3F+PhD5eirDAX7409DJ3KCry3RYJSyWAWtgbySriaFBERxQxXfiJKtgR2VV89pg8Gdyszxpne+MrXaGwMhh8eYM6QqgymPJRd7ERElAQMTIniJYFd1bnZWZh49v4oyM3Cp0s2418zV3gPnFXwOubWPdvNiUpERJQADEyJ4sXLOvYxCPz2aV+CW07c17g84Z1FWLpxe2SBs1W7OVGJiIgSgIEpkR/EKPA7/5CeOKxve9TUN2Lsi/NQW98Ym8CZE5WIiCgBGJgS+UGMAr9AIIAHzhqM8qJcLFhTiYenLolN+7wEsW5xeAAREZkwMCXyg1gEfk2BXsfFz+Ke00OrQv3to6X44t1/xTYAjDSgND+OwwOIiCiRgeknn3yCU045BV26dDEyOa+99lqL26VS1R//+Ed07twZhYWFOProo7FkSYwyPETpzCo41AK9Ewd1xhlDu0Im54/7FNhRsTF2AWCkAaX5cRweQEREiQxMd+zYgSFDhuDRRx+1vP3+++/Hww8/jMcffxyzZ89GcXExjjvuOFRXV8ezWUSpzyo4NAV6t586AF3LC7GqoS3uyrosdgFgpAGl+XHxGB5AREQpLWEF9iVjOnnyZJx22mnG3/K0kkm9/vrrccMNNxjXSdHVjh074umnn8Y555xjuZ2amhrjRy/Y2r17dxbYp8zisnj/zGVbcO6TsyDv8n9ccBCO2a8jMn0xAiIiSjzfF9hfvnw51q9fb3TfK9Lg4cOHY+bMmbaPmzBhgnE/9SNBKVHGcZltHLFPW/xm9N7G5Zv/+w02f/qUPycccbwpERElMzCVoFRIhlQnf6vbrIwfP96IttXP6tWr495WIl8LMxnp+mP7on+nVtiyoxY3f7AJwYrVwJQb3QWniZo53304EMgO/SYiooyVcrPy8/PzjRSw/kPke9EEeOEeGybbmJ+TbawKlZedhQ9qBuClxqOAYIO77GSiMpmrZ4faJL+JiChjJS0w7dSpk/F7w4YNLa6Xv9VtRGkjmgDP7rEqYJUsY5jJSPt2LjUyp+KOxl9hZfEQd5OXrCY6xSOLyhn6RESUzMB0r732MgLQqVOnthgYK7PzR4wYkaxmEcVHNIGX3WNVwCpZRhfjTX89em8M36sNdjZkYVzxBNQfcHHoBgkw7+sF3Ntrz2AzUcuTcoY+ERHFOzCtqqrCvHnzjB814Ukur1q1ypilP3bsWNx111144403MH/+fFxwwQXGTH01c58obUQTeNk91i5gtcloZmcF8OdfDEFJfg6+XFWBJz75IXSDBJi7fgKqf3IXbMYyu8nVn4iIKFGB6eeff46hQ4caP+K6664zLktRfXHTTTfh6quvxqWXXophw4YZgey7776LgoKCeDaLKPU5lVdyyGh2a12EO342wLg88f1FWHD3aGDHFiC3CCho7RxsqiBSxCq7ydn4RESUqMD0iCOOMOqVmn+kTqmQrOmf/vQnYxa+FNX/4IMP0LdvaBwcEdlkFOWyzKq3C+jCZDTPOKArThjYCfXBAMZW/T9U19UBRW2Bm1eE7mD1fHLdh3d6CyLdZEM5tpSIiFJ5Vj5RRrHKKMplmcEu5ZWsArowwwbkC+E9pw9Ch4IGLA12w73Bi3Zvx+755DpZisPLRCg32VCOLSUiIg0DUyI/s8ooqutOfCDigK51cR7u/+UhxuWna4/Ep+U/C/98Y271NhEqFtlQjkElIsooCVuSNNlLXBFl3LhTF8t83vraAvx71kp0LM3He2MPQ3lRXvjtur0tFiQolcBXAlwJiomIKCX5fklSIooxc/bS/LdF9vGWE/fF3u2KsaGyBre+vtDddu264lnflIiIosTAlCgdSDBYW9VyZr05qLMIMAvzQqtCSSmpN79ei9fnrYk8OJzaNDnq7etjF5xyDCoRUUZhYEqUDlQt0vyS3UGcOaiTwLKwNVBT1SJwHNK9HNcc1ce4/IfXFmBtxa7IgsOAuhBMfPknjkUlIkoLDEyJ0oGbrKYElnklloX0rzxyHyNA3V5djxte/hqNjREMPT/q1lDgG64eajywHioRUVpgYEqUDqyymlZZRAkYJXCUbn+5vuk+OV8+hYfO3h+FudmYsWwLnpqxIrI2SHAqWdtE41hUIqK0wFn5ROnKbka7fr3Q7vPs7JX4/eQFyMvJwltXj0Lfjq3st281I5+z6ImIyAJn5RNlOrsson696T7nHtwDR/Zrj9r6Rlz2ny/ww6Yqb93n3YeHCv/Lb7/ieFQiIt9ixpSIWmRANx50PU7+pDs2bq9BcV427j1zME4Z0sVdxvTeXqExrDJcQC1x6uZxicSsLhFRwjFjSkTeNGVAO8y4A2/k/xEHt6vFjtoGXP38V/jDa/NRXdfQ8v4SVEpwKY9T2ceAeYa+idxvyo3JnaikssSS1WXmlIjIVxiYElHLgC0IdKpaiOeybsMVR+xj3PSfWatw5mMzsHLLDufufJn8JNuQ31bkfsGGUHe/l4lKVt3vkXbJq4liq2dzJn+icRgFEYXBwJSIWgZsY0LBZc7oa3HT8f3x9MXD0LooFwvXVuLkh6fj7W/W7Q4wJOuoj2MNV/NUBb8nPrD7Pm6CFavxrFbXeQl8OJM/8VjWi4jC4BhTIgpr3bZduPq5r/D5yp+Mvy8onIHfNz6O/PLOkY/TVGNNpeC/jEt1GvNpNS41XFUANcwgWWNZyX/ji4nI9/EaA1MicqWuoRF/fv97PP7xMuPvQTk/4tEx+ehx5EWRBR0qiJSi/FL4PxbBit4GlZ3jJCcioqTj5Cciiqnc7CzcfEJ//POig1BelIv59d1w0sed8e6CdZF106qudBmP6mbJUzf0oQTsqidKPo4rJo8YmBKlozh+GBzVvyOmXDMaB/QILWF62X++xO1vLETNCI+BYLjxqIq8hvt6hUpRaatVOb42dhlnHgZA/tzfHFdMHjEwJUpHcf4w6FJeiBd/OwK/PWxv4++nZ6zALz7vh9UXzgkFgl6DBP3+5sfKa9j1U2gcqlx289oS/WGYzkFRqrw2BkD+3N/suSCPGJgSpWNw4PXDIILgQ7r2x5+4L5684CCUFebi6x+34aSHP8V7C9d7DxL0+5sfK69BxqFK0X6L1ap88WGYzkFRqrw2BkCx/3Lh9Di3+9ttzwhRE05+IkoF8V6tSG1f6ovqpZzsyAfV1DtDhfSPuhU/9v4lrnruK8xbXWHcfEnvHfhd5d3IG33N7gyqU9e6frtwe1+/fNj5sU2xfG0f3mnUtzVKiaXb68uE8yPS/x9cJY1iiJOfiNJJvLNBsl0JSqX4vZvMmNxHutali336RHRrXYSXfjsCvx61l3HzpKXF+EX+34yA1VXWTc+qhMuw+DGDl85ZIXlNUjVBDaUg72JxzkYzpCLS/x9eHpcqQz7I9xiYEqWCWAc+5g8R2a5kSt1+CMl9pGs9twiorTK2k5eThT+cvB/+fv6BKC3IMbKnJz08HR98uyG2gXUsthXLD9FM+EBmN3ny9180wW2k/z+8PM6PXxgpJf9HMTAlykRWHyJePoTkPjevAIraNmdNlWMHdMLb14zGkO7l2LarDr/+1+e4+5tWqAvG6N/NyhlA5drQ70jF8kM0Ez6Q0zkjnCr7z+9fDqJtX4oFTyllemr9j2JgSpSJIvkQsfrgsNlO9zZFePm3I3Dxob2Mv/+xpBi/2PQrrPn4qeg/gBZODg05kN9u2xmrD1EP+yCqbWYa7oPIg1u/7Ltog+8UC55Syiiff6kx4eQnokwSzSSMCCdCvLtgPW58cS6212WhPK8RDxY9g6Oq/xf5hIpXLgkFpQNOB86alNgJG/HYtpdtmo9fsifVxAon2UQuXfZdupzLfvdKmP+fccTJT0QU26xEhN+6jx/YCW+PHYNBXctQUZuFX1VcjAlZl6J2ZITf3uWf6W1b7f+pxjIbGqttO7Hapl1bzMcvXbJM4farX7KCfpRi2TBbHC6SGAvD9Dj5AANTokwSzYdYFB8cPdoW4ZXLR+CikaGu/Sd2HoGff94fq7bsdLcBL4FJpF2eboI8q21HGzRZbdOuLebjZ3c8w7XJb4GenysxJGNfxeJ897odygwDTg9VYJHfPsXAlCiTRBJcRrOKkyY/Jxu3/2wAHv9/Bxiz9r9eXYETH/4Ur89bE36bsQhMwm0j0qDdbrvxKO9jPn52xzPca021TGsys4LJ2Fexek4/HWer90O6BM7SflkyWZZO9vtrOStMj5MPMDAloth8uKkPGSm873D/4wd2xpRrR+Ogks2oqqnHtS/Mw40vf42dtfXxDUxUiaum8lYt2iy/I80I27UtGeV9wrXJ7e1+K8OVzG7eZATF6jm7D49uf/qpm9/q/eCnwDkaprrOFB1OfiKi2EywUZMwZPlQKcge5v71t7fDw3Wn4pGG0xBEFvZuX4xHfjkUA7qUxa7t4SaKOE0ciXYyRiZO5ojlRJx0mdQTjXien4lm1d5Uew0uV8JL6dfig3iNgSkRRRcQqA8Xye6snu3+Q6ZpduiM7r/BuPXHYENlDfKys/D7gRW4YN3dCIwOsx2rD7VwbbcKuu2W22Rg5F0sA41UClri1Van7Wb6+ZlK5wcZGJgSUWL+4cvYKunGkm5yKbrvdXtzJ2HrJ0/gxtpLMXVbZ+Oqo7M+xwNt30br6+fYP6/VB3MkH1Z2H/D6tgQ/BFM3qIj38yUjSMz0wCwW+zzT92GCsVwUEUU2HtDreL6A6bdZuHFkH96JNtsX48nqG3BbzjPIQx0+aDwIJ1T9AbN+2OJtHF4kYxGdJhrJddJuyarGeyxcukwEcUOdE7JfY/2arfZjvMcyJmIsp9UywplcXinZy7wmwtwM+p+gYWBKlKli9U9ZxlTJuNK6mj1npcrlmqrQ7eoDxPzPtqnPJpBbiIvbfotXx2zDXu2KsX5XNs79xyxM/N/3qG9o3PN51QezDB+Q1zHlxsj+gTt9wKt9JG2MdeBh3g9+/5CMR1Ah+zXWr9lqP8Y7cExEkJgK50ciA6lY7HP5Uiulk+S3H4PA6R6OuV37/fi6wmBgSpSpzLPUI619KR8MMtmpfuees1LVbFW5XY3plABS/2crYzslaDjuLuODZuAxF+Ktq0fhzAO6oTEI/GXqEpz7j9lYW7HL/nXIh4sUjY7lh7a0VfaN7CNpo9sPQbWfZAyt0weFOQvrpxnU8f5QU0GFOvbxXrAgXBCTzA9vt8/tx/Mj3Dkd7fbifTzkS63835Dffgz8R3k45nbt9+PrCoOBKVGmkg/p/JLdwWQ0tS9VkKtnRq3+scpj5YNAAkl1nUXQUJyfgz//YggeOnt/FOdlY86KrTjhL5/ivYXrrV/HiQ9EvtqTXf1BaavsG9lHXrIyaj8t+G/ot8zWdZOF1YcO+CG7YfUlItaBQzwyjZEssJDMD2+3zx2LfRWvepux7FnQz7tIe0Hc0ocDqS+hiQj83b5/hnk45nZBrJ+/0NhgYEqUyfR/WtHUvpR/nDLx6XcrWv4TNf9jVduQQNLFP9vThnbF29eMxuBuZdi2qw6//fcXuPW1Baiua9jz+fXncfuPX68/aB7v6GWpUJ16XG6h9dhbdbtVFtZP2Q2rLxF+bKdbepvNxzGaD+9og/RYBg7h2hJtvU277Tud0163bVTJaHp/u+0F0dsVyapZkjGN5EtopJzeP3NjnC2O9H9jEnFWPhEll9PM2KbbakeOwwObR+Afny43ru7fqRX+eu5Q9O7Qynpbkv2QD5pwM3b1+oPyn7A6zGO8zASOZMavn2qnujguzSXCvJYKSwb99ajAIN3qrYarVCGiqbcZyWt1UZWjxXtWspYSIHo5p/QaytWVoYBWbcfN4+3amEplwCa6qC4iz5XE85XloojIf7zWHjXdNm3xRtzw0tfYsqMWBblZuH3QTzj7h1tCSUnJ1qiAw8uHkmqXmw9sP5aXiVXAFU2pLTXGVy2ukMxA1c3riLT2bqTPF8l9Y9WWWJZVimR/mZ/fLlCS96z6gmiuKey2fTLRUr5cyvlYUOruy6mXtseS22B4rstzxu5+4fZ/ArFcFBElj113kVUXlj4zNkw355H9OuCda0djVO92qK5rxM1fluHqyv+Hyl3Vu//ZRtKlaJ6kZfda4jGJJtquNX2fRtMtHEn3vHq+zoNDx7C+JrSNhZP9PWbTXNHBqnvfLS/jANVyveZxx+GY22bVVruAI5ZllWR/uT3/1WV5X5vHmVtN+pP3rLz/5H3o9bzRJ9NJgCtB6T5jYrOMcbzGZ6r9YB5HO8x0PkU7Btn8GlKgzBgDUyKKPbt/plb/6PWZsWYW/0Q7lBbgX786GDcd3w/ZgSDeahyBk+ruw1f73RT5BCJzu/QPWC8Bm9v7Rrr9cG2P5kMnkjG16vl2bA4dw+z80DYGnJ68CRdeggn9vokYNxuu5q8dc9us2hrP9rvdp3ob7IJZ2YZk1iW7KZUr9GA62kBQn9AZLoh2u714BXFuq4mMsqjXnOZjTBmYElHs6R8w4TKObj6MTP9Ms774J66YfTReLv4/dCuqx+rGdvj5x+3w2EfL0PjpQ94/oJ2yFJEGOvHOcqp9ImLx4Wl1bNwEO9KOnbIQQgDoPSa0jbMm7d6Wmw/CWH5Yegkm9PsmYvayDBOR55DfbjOhVqXdrNpq9+VKZWmjmWjjdp/qvR92+1OVl5PMqKpcIROe7J7H67mRKrPQ3VYTGWaR3Y9GCkxc5BhTIgovmnFJsRinZd6G+lvqs6MVbmn3EN7+MTQLfmibWtxU+zeMyFmy51g1t69DMjnSHS2ZPwmyYi0W47wSMYnBTTu1Y+FmnHDMJpWZxzsmeuyc20k9bvad+byOdD9a3V+N+41moo3bfet1ezu2hOofq+WM4zVGNlJ+GlM+18PY6WjvEyccY0pEsRPNt+xYZDDM21DdgQigDNvx19rbce8Zg1CYm42vtubhl1VjcX7lb/HNtJciex1OwwtiIZouQruxe14e6zb75Kad6ljY1YDUu27tntfLOaKOoRrHqsp8OWUGE11+yny7l/Pabj84DTex+ltlL2Wspd0xjCTD78Sc2Q2X5ZdFNdT4Urvn8fr/I5bZd6//98I9d7y70aeGGcPsp0DbATOmRJQ6M4/NmUzTc22orMYjHy7BC7NXoj4YGsh3/IBOuOG4vqHSUm5nF8ciGxav2eCRZLmEPmvZbfYp2vaaZ0vHIutlbpPKuuUWAUVtvbUxmnM1XDWEeL4PZNsyaUa+PNllW/W/VRsjbYs8n1Ff1MWMeb1Sg7lecbhz1289CV7bE+65o2nbRIfHqnbKkJq6naEvglJTOpbPHwMsF0VEyRHPf353tNld9P22rbZ3W7VlJx764HtMnrcG8h8uKwCcPrQbxh7dB93bFEXfRqcPX7eP04MKr0Gxm9JW+msU4bp1I22vU7vddCdHS1Yxkskudh/GTpqHIQSAgnLvZYqSlYmyOv/M54XwWkbM6dzy8oXIHDSH23Ys92m0w3Bi9WXFagiR/gVPuC0LNTfMFwO95JZTmbwkZ0zZlU9EyRHBZCbX5MNGPozlt8N2erQtwoNn7493rz0Mx+7XEY1B4L9f/oij7v8fbvvHS9h40PXWbXTbLrczaq0eJwFUTj6QU9Syy9Nusoq5TfrMY6fntpqIIgGBlxm66nGyv/UuWrdd13bP68TLuSH3kQ9r2acqGPNCHUfZSCRlipREl+BR+1X/UqSfF29fHwpkvM52V2XTrM4tL13qcn5LBCoZPHUcnUqyRdKNrs4TCUT188XrMBzz+WZ+Xrfno1XQZ35P65UC3FRaUOQ6p5Wp3JbJS4FSUYKBKVEmsvtna3V9PMYlup3tba6J2HNkKFOqMiF2tQCb7t9v9Uv4+wUHYfKRW3Bo1gLUIQfPLCvG4e93xv37voJtAy4I3y6r1+92Rq3VvpEPZulua6hpGQCo55aMklPdx3C1XxU3H9BO4yT1D1rZ33ow7BSE6mVtvH4Qqmybl/JcboIdu3NYHUenMbKxEqvxheYASN+uHmjry+wKN7Pd1RhR2R/msaxW27AibZPzW9ogv9VxdApsrYLMcIGweayxm+dx2o7+eP1LmNtxpub3kmTy5QuC1Xvaqp3Ge9kUzLstGRWLagY+wsCUKBPZ/bO1uj4e5UXsJnLoH0z689q1wS5zabr/0G/vx7N59+DZvAkY0roWu+oa8LePlmH0/R/i0WlLsbO23rpdTq9ffRiISMrZqFqf6sNGTWYyZxet2uQUdFpNjlKvQQUqKtiXD18VkIXL4OjtsGqTm7I24T4s5TFqnXSnoNu8L/V2eJ2IJO2WIQAyKzzaTJLT67Nrg9cAItxxkuLyko2X4FKyyU5ZOPOXOnn9sh9kfzgVeJf739srFHzp7Zb377Yfgazc3W1Q57ewC57e/0PoOVT5KHmucF9qVO+D1M5VgXQkXdXmc8jcI+E20NXvpzKccgDk/5NVj4H59RnvZS2Y18+LSEpGxeP/doIwMCXKRHb/bK2uj8Wserd1Q/Xshz6b224Gul3m0mq2c0FrHFr8I147civ+fv6B6NuxBJXV9XjgvcU47E+v4+lbz0bN8lne6qxaZfjCBRrqtatan+rDxq4guFWBbNknelZLp/alvj31GuqaVmaSrkVz96DdDHHZ9xKAyGPUB75T0OC0v1TbZFt29TqNjJ/6oI5R7dVws8XdCndsnWZF2+0XrwGE3XHSAyLJxstsfCGTwqwqIuhf6sw9DuHarXf561925P0rwVWwEfjDulCA6xRMqddetyv0d06h+/81qvdBJr7Jb6EylF5W1tLPIasvdV6y/rKfVU1WIQG62zHoera6+/Dd/1f0Y+P2i1gsz/kk4OQnIko+u9nfsZxIZdpWQ2MQb369Fg/+73us2ipdj0DXwCaMPXMMzjigG7JlxlQkk1DCTfix6oqNduavvg1htz19opAELk6TRNQ25YPNyP7Aud6k1WsLt81IJn+FY/f4WNfTVYGgfhwlMJLAzMtErFhOSNEnHqmgUy1Ar46d3f2dJqiZ2/j3I4C1XwHZuUBuU7F89SXGfE6Fm9Rj9b53u0/0+6kg1xAATvpz/CpeOD1WZ56k6eb98eGdwK6K0DFT9PPN7n+keSKcXg0jnpMPPeDkJyJKHeYsolM3tlvmTIJpWxJ4nja0Kz647nDc1eMrdMBPWBNsjxtf+QbH3foU3nntPwj7vd1qEoq6zq4b1ZwhczMkwDyO0Gm4gVOGR7oUVRfv0qnOY1DVNo1d0BSkB8JkPsNl/1TbVDusMnnh9ofbjLT59dsNH3HKJqmxgtJtbd73Vl3qetdttNy2zzwxTvUgqKEiuYX2y6Dq93fT7a9uW/dN6HdjY2jCjdon8v7Vx4Cr57A7H+3e9+bnsxv7rgd5KkOoAnE9k+t2/9r9v3E6FnqWVWU8uwxtOUnTbj9a7edd2hCAgWfteb5Zjak1D2cyj1d3OrY+xIwpEcUvoxPLbJDX53FbM7EpA7HrkHH4V+0ReOzdL1ARLDbuMqhrGW48rh9G92mHQMDik91NNsgpqyhUGRjZvJ5F1NsnY++cMnFe9rPbEk52WVg3bfbSDq81H2OVRTeX2CluFwq49Gyf06pWdsfRa8kpu9JjsVoxy+o4WmUonUo5mbchY0Kl+33gmZGvjOaU5TefR1aZarvauOZsoV0JJS/nkdcVubz2KOjv9WVTrc8j/T7ypVI/VuF6YayeN1H/mzXMmBJRbDh9y3czmSXSlVO8TAqxGtsXLttqykAUzpqI3x6+Dz45pQrXFH+AouxGzF+zDRf8cw7O+fssfLFy656TPiKZYKBnkFSGRD5Agzaz8Re8srtbzy6NsHIGULk29DsctyWc9HZatVk+7NXa704TT+yyXeZxsmEy3LaPi5TavnzAy36WrmnJOhnjJLX72M3Yt9onNZXe2qAmoEkjzBP43PQWuKnOoLKJsm31PjFn3eR6dQ46ZTbVa5UJOmXdWnbXe50Brr939IlYMoHKfB5ZZaplHK3+2lUbhLRVZXLV8TW/R8PtX6deCv02q2MgX1LUZEO7/Wi1L+TLwu/CTMSTyiTmcnHm7Yb727z/fYYZUyJy5vRtO9yKPl4zilZF4d1kNCIpsm43vq3J5qoaPPbRMvx71krU1jca1/XLWYcRwa8xIutbHFJeibLDLrN/fW6zWXaZNmPM4nW7/1a1Oq2yKDITWqUwb5fxaXHkdQyn1bHxkgGLJDvlJRuk7muVMXVLginjC4RM4CkCil2uQKVej0xQqq+xXdEs6hW1zFlydc6r31XrgYa6UDuOvcvdc7vpnXD7/hdqrKsibfn9Ovev3W78rwq8JZCVGfxuM9pWr0kV75c6rUZwrv2fUhlvod63ci7IJLBw/2/cnK8TPazkZX6uSJ8zxrjyExHFTyxW9IlkEk+kk26isLZiFx6eugQvf/GjMWFKCSCI/XLWYuRe5Rhx6OEY1qsNWhXktmxTpN27blexMU+4kFnAf9zsbRuRcjuJSzLMqktVMkFGEPff0NhHFQS5PZfcBkVeu/ujPX9aHAdtspG5C9luSV09yJL76xOYrGZ1u3n/6a9JMulW54C+8pXeZq9DJeyeS83It9uWvj8kE2j+kiUTmNx+sbWaCKX2nz4xyvzl1e59anVOqJXnpG2SMTYH1XqgKvRlcvU2hVtF7RWL96ybL2DmyYXquczPaX4PMjCNLQamREkQi0AwTMYy7muuuwmENVt31GLWD1swc9kWzFi2Gcs27Whxu0ymkjGpI/Zpi5H1c3HQ9w+isLapmz7cUoHRtl+tF28189rlMq6un8tq3J/bjLCeTVLtCRc4u80e6h/OXr8QRDtuVX/ONr1CmVc9q6a2aXcs9DGesg05ZxS7ygXhXqOb3ger96CI5r2tv0YVFNpty2p/6OdDuMDWTQZbBfuqYoL5PWI1jtju/4JdgK8fj95jQmNAJUNrlMEKOs+qtzoGU27cc784fSnbIwAPAIXlocobVhnT5gDb5vyKEwamROQvXruAw2WIRLTBcaRDBwBs/OQpzJz+AWa2OQ0zt7fDyi2hklNKLuqxf84KjMhfgRGBBRha9xUKyjvF50PAKXhTpX1kpvClH0X+HOauRDfrnpsnGOmlp2TGsXy4RzoJyk07w93fSze+02Qwq4BdVT/Q95FTEG7X3W53fttNmgrX3mi+GLn5QuolQ6/u23kwsGOzc7Bm7iFR558KvpwCNqd9r7KHUkP1uKbsodX/hXAZfbsgUe/it9p3d3duWimrSZn2nPoXWrU9cw+THsTKa5PXaM7Imie3SYDNjGn8MDAlShGRjENzuk+03bXmLIfdbFiX1nz8FGZ+Ng0zW/8MszblYc3OpkLxTfJQhwPbN2Lk/oOMrOrgbuXIy0nA/NNYzWK3yuqFO5bmrkWrzLGXjKiI5Fyxu91L96rdlxj9sjnbZhVMRDs0wqrepXm/hptlH8l+1feBPJ86DyJ5v5gzvub95PbLirA6dlavza63xfxcVll+u8fbjZO1Ggdq95puL989dEEND5hiGm/rNK5UD05lG1k5QGM90GX/3cG+PpQhgRlSMwamROQvsR4H6nV75g8Gr9nScONbtaLxwbHzjaL90u0/s6n7f+P2mhabK8zNxrC92mDE3m2NQHVgl1LkZHsMVCMN6iMVbmxjNF8+zPcTsZhk41Tc36571Wqb5rapCTVCn1Tj9BrsxglaBZFOr9VcFN+8YIFTmSurYyXcBNDmfahv38t5psYd2wVddmNW1ThUvWTSPjZfKtU2ZO15yUjq4z2dxqe7OcfUcTXvd6d94JSxNV//StN1pV1CY27DZTZbBKdK0zcHNWnS6hxL8AQoBqZElHqi+UcZyVhELxmjcHU1HcaRyr9ZGZM688M3MOu7lZgZHIittS2D0FY5jRjepxNG7NMOI6s/Qb/Pb0eWfLBYZaTiNebW6jkizW5Gcnu4YMkqiFNDFYSbjKfb8b7mSVvm9ttlobzWvLQLIsMNfbFa6Uedy5Lxk+Vnc/PdZ0zdPMZpjKuXmqoqWDSv0GT1nlSToeT1GoGay9q2VhO7zOOvvQwviOZcivYxIlzFEXVM1DGUKg+yj2VCpCwR6zR8JEFZVAamRJR6ovlHGUnJKC/sxr15CaabXl9jaQ98f+5noYzq+y9hVs1eqESoqL/SBpWhslTF6zDy0oewd7vi3UX+9Q/dgvLIu1PdBonasaisrsOidduxcO02rNtWbbRrQJcy9P3xFeTPDDOD2kt5MeFmTPLtZc4ltdy+XvN9rZYX1Z9bLXxgzmZ5KZGkxreunddyO2634eG47cE8tjJcd6+bLx3hCu+bgzO9oLxMGtO/YAhzKS09YxpuApHav+HG6tplTJ2GCOjbVBldp0BWf6xVltVu2MVc7TyUO8h+dfta1OvXq3ac9KBztjjOGJgSUeqJ5h+lVYYrHu3RA2D5IHHq3rfqsjXXU5w7CQ1T78K39d0ws/wkzNiYizn1vbGzMadFUzqW5mPkPu1Cs/6rPkC3j68PPy7S7axli8cH50zC+k/+iW/7Xo6FxcPx7dpKfLuu0hiiYCUHDegd+BH75W/GgKPPx4Aupdi3cynKCnNbZn6ktqOaZOJ2nzvdrjKmkhlqrAsfVIlwqxzZlWuKdPyoFacAKJrx08LNe0ifma3GjOoZU/N+Mr9ec5BmBOpN55RdPV27INBMJsbp3fPm12RXak4f4+n2mFiNMbULaK2eV9+Pal+a///o2zQPOzAPaxi3wPl8lN9uVrNS5+j29aH3hXFYbCbKJQgDUyLKLPEYBmD1QaQHwHY1H526Fp0Ckabb6kp74pszP8KMpVKaagu+WPVTc5F/pXtRPUY2fomRg/pixDFnokNpQfhxsFblYk56EPUHXIwfNu9oDj4lGyqXf9rZ9IFm0gWbjRquXYadgqVfTMXC2k7YhhLL+3ZvU4gBBT9hwMY3sF9gJQZkr0bH25ZaL/Fqt+/cHDOn4281REBYZcOax082ldyJRQbWqeu13qLwu3liXrgMfSQ9DXrGVIJRPYunfwGzGwfaHFA1dZWr81q4KdRvV2bLXCZKnwxkVbGgeeWqpolgbnoRnJb3DLe/ZHKRWvVMn+0fyAoFgNJGGfeqj4s1B5YtivFrGVE1rGGuzQQsVT1ClSLTA1Shn09quWBVHULtH05+ij8GpkQZxO24x2gnRrl9PuElYxpuoo1Nt2N1XQO+XPVTUw3VLfh6dQXqtWL/oneHEozc/j5G1s/G8PJKtL5+juXr23HFPCx6fjy+XbYC35YdjoUN3bBYVtOEtjiAVpu1d/sS7Nel1MiA7te5FPu+fDha1/zYYlKFtGTtiNuwsN0JWNgU3Epgu6ZC6jjuqW1xHvYr3o79qmZiwMD9MWD0qejVtth4Psuxj1azv8MFY3bHSThNNjKXtoqmSH+4AMg8NECfBGP3RcZpRaJIFlGw60rWA099HKiiAlc1qcicDVQZ1kiydHaVE/JL9xwKYs66yvELN+7aHFS7Gfdpzow6/a/QA1E1LlaeS74E1Gu1TYXVPppoM+7YvM/VOSrvxerKPbOqehZcgmV9wli42tFxwMCUiNKH0xhFP6z8k+CxWlU19Zi7YmtzsX8JBvX/5LIq1b6dyzBSylJ1L8fqbz7Bt0t/wHe5A7B8R06L+yrF2IV9s9diPyzDgOJK7HfBQ+jTsQQFudn2gYx86OmF/U3jDH864bFQkPrCrVi4sxwLA32wrLEjTDG1oSgvG/07tTLGqw6o/Qb9V/wLezWsRFnN2tAdzMfSKRiLpFvXblWmaL7cmINL8+uwC2akqLq6rbgdGtbOx4+9z0PVUXeidNof0GrJaygZcBxyfv6k/XO7eb2SATQiSewO0tRQCxHFRDYZCrJryh9QFcxFfmkHlF43t2WW3M3+NY+DtSpw32LpXofVovQspAR0kt2U4R+tOu2ejKXGE1u1zTwpyukLpl4XV42LNZdMU2OLpUGqpq9VW8dYfFnQ32/6/0VVy1S1yzxuWLgtj5bpgemjjz6KBx54AOvXr8eQIUPwyCOP4OCDD3b1WAamRBnAqUxRLDKmTtxMRNGXANQ/GNxONIhy2dCKnbWYvXx3oPr9hirH+8t4Vcl+GpnQnZ9jv6/uRI/ABmTJBBw367zr4+KE+kA315e0WLWmev+LsGj9diycMQULF32HbwsPwKLtBaiuazlUQSlHFXoGNqBH9mb0al+GHju+Qc+hY9Br4WNov/1bBMod6od6ydZFO4QgXCY8XLbqlUvQsOA1rOp9HpYMvQVLNlZhyYbtWLJgLpbWt0cN8vZoSmF2I1oFq1CSF0Cr+p9Q2qYjSjr0RKuCHGN5XPldkp+DUnVZu77Vo4OMxxagFipelGhAMudV+Z1QldsWVfv/ClV1Aez45g1U9Tkd27uOwo6aeuOL0fbq+ubLzT9N122vCf3Wv4DkZWehbUke2pXko538XjkF7erWol1hFtqdfGvT9aHbWhflIUuy5+aVoeyOkXkRCafhDqGTs+XEtj+12x2oypK+Xhb9CFcE3+680TOwbs/TVzyUnLJaiIAZU3defPFFXHDBBXj88ccxfPhwPPTQQ3j55ZexePFidOjQIezjGZgSZYBIA02vj/M6fk//cKoxdaW5GXeqnk8viRPNsqFNNm6vxqwfJFDdjO/WbUePNkVGEKqCUQkAWmgeT2ga52a379T9s2XCkVaKRs/CmbNADuobGrH8o3/h29kfYGHHn2FhRQ4Wb67G5qA2495CIarRI2szenZqh54Vc9Cjdil6ljSi1/BT0eWrB5Ez+lr3k6zcnitO9XBdrkxVX7EGq0qGYMmJL2DJlx9hybKl+D5/IJbtyN9jLLGSlxVEaVEBqnZVo7rBZnxuBHJQj1Y5DQjW10HC1Hq0nHQXLcneB41oyL1sNKBNAdAusB3talajXXkZ2g04HO1++hrtfpiMdlnb0Xb4OWg//Gy0L8lH1l8GhT8mejZfCtlXrt193upF7mXSlptzwWqWvdzf7cIGesbUTT3XYfpkMdP4Z7sJXHaTNiUYj/LLcFoHphKMDhs2DH/961+NvxsbG9G9e3dcffXVuPnmm8M+noEpEdnyUlvRLuPhdrxouPI0TkGvdJ/KbH2nkjPR1gh1uq9elkZ1EzrtO3MXottxmW4nKMlj72iDHY05WBXsiJU5e2NlsD1WlgzBqp9qsKKxPdY2tkEj7BckyMkKoGvrQvRsW4yebYrQc8d89Fz1KnoefDI6H3ou8v92EHK3rdidcXW7D632nU3x8vpP/4KV+1+HJR2Ow5INVfhesqArVuKHbUCtxZhekZ+Thd5YjT6Ny9GnaDv6DDoEfb//B7r36o3sH0PnVd0BFxvZye1znsP2uc9i+8Dzsb3XcaiqqTMymfIjZb2M+xg/daEs54/fYnt9DrYHilGFIsshFUpJoBrF+bkoyQ2iZNc6lLTugJIOPVC8fQVabfoSJT2GoHivA9EqPwfF+aHMrGRkjd/y8+gglAR3oBA1RhZ2c6v+2DzoUmz+6k1s3vt0bGl/MDZ9Mgmba7KxObsDNrcegs0Vlagw1fcNRwL27sUN6FXzPXr26Ime+x2Mnls+Ra/5D6NrYAtyj/79nu8385dH9YXKqpC900Q0YQ7wLN43sv+ltJqMuV73ys3YIOVFC1ohd/TVyFs7F3lL3kFuoB55qEduXSXyisqQd/rDyH3tMuTuXIu8/ELk5eYht6gUeRvnN923DnmlHZF71UzkzXsGOZ9NRGB0U7usKofs2NJy2I05G50AKRGY1tbWoqioCK+88gpOO+205usvvPBCVFRU4PXXX9/jMTU1NcaP/kIlkGVgSkR7cBNoWJVYsZrYpAejVutRu3nOcFk6r8XZdW7KWDltS63ZLVnQkk7h6z/qr0eN0ZMA22kogFPW2Px8+ge+GqenfXmoLWiHNY1tsLKhPVb2Pj8UtM59GyvqSo1g1i7wM8sLNCAfdcjPy0Ve3XbkBauRlwXkdeqL/Jxsowtalo5VP/lNP/r1+XMeQ17NZuQVlmD78BuwZNHXWLJmM5YHO9m2oyA3y5iw1jd7A3pv/Qh9Bx2CPqNOR7dlLyD7Qy3QNZYe1SbquCnC7+J8Cx70K+yobWgKXuuM7vyS/FwU52ejOC8n1JVutS23k8KsCtXblZzSzv+6irXYGijHpkNvw+YeJ2BzVS02fzcdW374CpvbDcPm6ixs2roFmxtKsDVY4vjlRDKvXbMr0HPvfujVsBI9172Dnlmb0avXPui+6SMU9Dhwd/e2eZld1X41A15Y9IbUPjgEGyp2YE3xvlh37GNYu2A61v6wAGvLhmJtsD3WbttlfDlIhLymc/Lixsm4Pvv53e9Hq2FQzJhaW7t2Lbp27YoZM2ZgxIgRzdffdNNN+PjjjzF79uw9HnP77bfjjjvu2ON6BqZEFBG3paLM2Ra7cWFOwZfKMNot6ek2qBXmLJ1TGSs34yKNkjs2AVCsFjdwyho7zYy2+/Jgs48aDx2HDf3OxcotO7Fyy47Q76ULsGr9FqwIdsD2hj3Ha8aLjAPt3am1MZGsT4dW6Nv0u1vrQmR98U/noSNyvcpk60G/sJsMaNcD4LTfrNh9adKL43sdpxhuwppdgX6b91TDpw9hbccjsHL1aqzY6xdY1WooVmxuOt6bKx2HPEgg3jlQgR5Yg16BDeiZvRW9sAY9eg9Ez7PvR8m9HYwe3C0oxdq8XljX0Bpr2g7H2i2VWNd6GNZkdcK6il3YtL3a1VCFssBOdM7aiq7BjeiQX4eswT83hm3UNTSibuUc1GzbgLpAHura9EVtUSfj+pr136GuIWhcXys50qx81DY0ojaYY3zhsXveKwrew014ZveXVKuJVAmesJnWgSkzpkSUEFbBnPHBudO5SLxT8KUC0miXErUqJ+NUxspqDJqRidNqG6rAxetKOXbXOe1XPag216GMdNWhcJnupr+DDw5Ezbb1qC3thRr5gN++EbXIR+3om1HT/1QjWJCfmn+dhZpgdui20/4euu6Du1C7awdq89uidviVqJk1CbU1u1CT1xq1+56JmvoGo4pB75rvjJWw+hxyMroeduGe2UfzcQwXWNqWE9LGGgq7YxpuYo7V/rSrHaomckVSF9NNj4BVkXovQ0Ca7h/84E5sRBlWDLkeK3fkYMWCWVjZ2A4riwdj5a5CY4KWk9Y5NdhRn+Uq8y7d6l2KA+iyazE6YzO6Zm1Fl5/9EZ3LC9G1vACdJx2E4pr19suDmicNnmix1KzFF5eGQ8eh9sN7UVtTg9pGoK7fz1B33H0o+e5FtJ37oHNPjNXStj4JTGM7ytmjdu3aITs7Gxs2bGhxvfzdqVMny8fk5+cbP0REMWH3oSeXzX/Lh7WQ8aBe/pE7TWqIhMpw1lWFJk5JJko+6MxtkucwP7+6XhVPlw8m1S43gagKcOS3ur/dY63I49SMfrksH5TqOtUWM/P2zftPBVHyu6A09NpU+0ztlXF4BdMnomDU5bvbYLy2C1tuP3/x7uzdgd1C12cN1+7fD2jdb3eQvVdPrY1DAJwTfl/oXwYkULA6Dlbnpl5eSoJGFXyoYyoNki53oQeATuecOSBWM8alJJjaruo5UMdPjpdqu9PYarWPWvcKna8y3lGuN78mlR0OWJx36n2jP5f8ltcpgaz+uqZPRKDmJ3TET+i4+H4MN9q6GigOZXuDR43D1v3+H1ZuDWXUV7z1f0awulLGM2f3wNb6fPxUn988eatDViW6lBeiS9ee6FJegC6VX6PzitfQ9cAT0Xn+39C2chECea2BrJrd58zBPXa3R64XagUmabv5PFBfKoINocv6eaDex/K39l7OHnYJCg++BIUyXjTQACx5Djj3r8CoX4V+zOeZvo/0c0h/L/uALyY/SWkoKRElJHXeo0cPXHXVVZz8RETx52VWtZtxWZHUlIy0W81pAkO4yUvm7j23QxqirZDgZm34cFlZPZOoAlHFPCQgzOIFUS9v66WUmV1mV70euyEe4bal/lbHVK3646WGq75ErR60mNtkznjrx8KpGoWwqucaZiyxY11Y83PaLWig9rXd+FjTubWtYgvWFA9Eq1+/jk5PH4LcypUt94PVEAnzREDzeWC3zK3ehuZVoLC7qoWb/ydW43kjrUKS6V35qlyUTHZ64oknjABVykW99NJLWLRoETp27Bj28QxMiShidoWso92mm67ucNUA3Gw73Jg9Nx86VrVY7daHdzse1orTkqxeF1LQAye3Yx6txqnaPSbcmFmrANM8fthqkpzl0qhNKwLJ6jxqAo5V8OI0ztYcfHsd/2laotYxiNYvuwn89Rnv/U7cc614uy9XVueXqleq9p/dalORVIWwu49dEXsJfBu05WSthqSoTKg+o9+8n8zbbxYIlbXyciwj+VKcQCkTmAopFaUK7O+///54+OGHjUyqGwxMiShibiftRCvc6lRuJ6Z4+eDxWpfTXIs13LizSFfXcgqe9LGT5vXOnTKEduvJ25XzUgGjXZAcLiizyrzZBRj6uujm9c9VcC3MAbdVm1Sm0jyD3Lwsp9fAJFxPgFVA7aFuq+P9vcwO14NY2af6sZDzVwJFq8lTXp7L6YuYfmzUfhB7HIem81dlrq3uo/42V8Moblo1SgJeKe/kZZlkq/M9gZObYhWveSsYFifSbb9y5UpjUpNMeHIblBIReabGqclv9bU86HCfSLetkw8HFXhYXScfHPLhY9W9p2/PajtW95cPYPkQVWMrnahtSrAkH/YqWHP7OKu2WO0H9RolIJDf8gFqbp9sS55fDohkQc1jfPV9JL8lMykBmnRD69tSmTMJQvTxsOp5VTAoXZ8S0EhwY9VW+S3BoGxDfqvtyvlifu1q/J8xz6lpspMe4Ktxvep1yY/cJl+K9DGSsh58ofa32pfGbSVNWW3T8zfvN23MsN1xsCLHRLKVdsGafqzDnYNOjw333Hp7rdouAaXKWJqPhbFErpR1Cu45hlNRX0jkt05/Ln1MspkMG5GJj3K+SBBoPnbqtUpQKueltM3uPmpsripF1VAfOucu/Si0P2RypdV+s2qfOkcli6vOW6fX4XO+yJhGgxlTIvLETaYy0i6xcLOsw40bDLc9t/cPV9IqHsMb9MfV17Qs5m13/3BDBES42fhWY/dUW2TijnSRmwrft8h86WMDzW3Vx/051Yc1D4fQhxd4WQbSamyrmy58u30Vq/HBXkXSZW5ur3DbLa+CM71r3ep57TKm5n1szmzrx1Zxu2iH3es3L5Fql+V18/70unJbkqRUxpSIKCHkn7U+i9cuU+k1K+T0OKfMhZ6Ns8oQmbfntC39tckHrzwukjIweibSS7ZFZQTlcfW7Qtc5lXe02/f69eGyPirrqL9W9YFsBMg7gepK+8c0Zzht2mo8b9NSsSq4tWqzOXsnAYNsW4Ig2R+yX1RQKvc1ZzDVsZfAytwWCW7V7Hfz85sqDrS4TbYpQbeefZWARu4vv2PBLiOrt0tuk8BJgm79fuZja35vms9983Ppr1dej+xnKYYvAb35S4N6nF121tx7oYZK6FlyowyXlgnX2yWvTV6jyvSqbnX9WFv1fqjtyfhbOT/c9NAMs3h/yrmpehrki5S0R1idqymAgSkRZQ5zd6odvSyLl+58q8DFKcjVgyKrIMy8Padt6a9NdZdH+qEUSWAu91XdlpL9kcerGdFuhRu64DREQAWlagiD7FO7YQn6Y6SNdm1Vr0m611fO2PO59fJFKiDVg2pjyIDUGm0KtqyOsd5myfaZ26KGHlh1T4c7HyR4UeWkhN3QFb0tEmDd1Xl3oOVEvR4J4PQueD0g1r+wmIdtmL90mYc62AXhZk6vyyoAlrZKTWIVpKvnEuYvCPrwEpmkpoYSqHaphSlUiTKrYSRW7ZDHS5e/kHGxVm2ca/MFRp1v8luCUHkNMixF7QQ3XyojHa6UAAxMiSg9OWUg1fgup3/KsRqjZZdlE3pQ5CYYdNpWpFles2i6ACUIkuBMD4y9fABafXjrAYPKMEsgZ7U9uV0Fg7JP9cxoJPtUz06ZAw29vXKbeX+p4yFdqzKxTn3Zscqoq6EIemBr3o7Va7Bqu9rfMolGZVoV2b5sSyaL6cdEPUYtfyqZZvmt72er8Z8qQJIATu0bPSAWkgXNLdqz1qjVly4JZiWotXpOp/2gXpfqetfZ9TpIMGgOZvXMt+w7qbsq10nQJ38bE89MXxKas9uBUH1WWZ5X77WwG1sqr0m1W32RU7dN1XpS9OOk2ifPr8ZLq6BYSrDpjdKPuxX9OXyGY0yJKD1Fs+68iMUYrXiN84rn+LFYjq/Vr3cz3tXudem1QqVr3q7clLnKQqT7yaq2ZrgZ/l73V7gyS17or1MFL05luWyX280KrUzUHG1pKzs5jf+0G+sarnyTmdMywG6GpeiVC/RxxW6rQpjHCpvrpTrVqtWrMTjVo3WqBGKuiVtrqv5g3s/6OGoZ121MpNKWFDaPl9XbkqiKJBqOMSWizOaUYYk2O6lzyghGk3WN13bD8ZJVdrNPVVeom5n+4cb86llQq/aZu+WtunH18YB2VLCpis7L8+tBjJ65cpOVtWLOfkXzBUN/nWpfmTN2TsdK/W0EpSK4O4tnvo/V+E/9uOmX9fu5yZxbtcvtuaP2g96tbrWPZDKakC8cejZe2qXars4jtQ/ltwRwEvxJAKpTj5HATzKlcj8JBK2GbBiz8JuGCVilBPXzfJzWDqv9rIY+FLcNBZayWIU5+yoZb6thFMJpCEuSMWNKRBQNt7Om7WaV293ulLmMRWF9L68r2mLdkc7SjrZ95iyZntWyq8ogj5Hxh6qMj1OGMJpspz67WrrW9ZWKzNm4cNuP1TFXBeyFl+Nu9fzm6yI9n7xUiXCTMVVZSJWVtFrMwan9bvaNU8UBFbjKcsJSIkqfje/lOM4Ncw461QROEmZMiYjizTyT2Gsm024yjD5+zyrjZax20xD67Wab4Wqeuq29qj/WTebRbfZZnwDkdt+Fa5+q/anXTJWARWW19OOlj6WU6yQolfuo7esz4/XXY1WLVX9+p32jz/6WlZGsMn1uj6V5Apg+FtRqRrwdqaEpS2Gax6aGe21W7TRfF+kYaPMsdKd9K/eVWfmqrJfVfaRsl5EdbvqyYa4J69R+vSap03vAaRKkMYNe6pbWhdKmek1Vp3Gfc22qEtidg/oYZ3OlAp9jYEpEFCnzTGK7iRZ2gYXdZJhwXbzmWchuJ4mY2241e9hNZQKnLlMzp0BC3aYmLamAyM0QAqdg1y4okqBAPqT1yUiqq1iycuoLgcpqqSyU3cx4u33tNqDUy0JJ4XaZJKRP/rHbvtthHnYz4p22Y36t5vtYBfPSPvNCBU7d/eFeg5m+Lavnd9oH5utUdlF9SVHd5kIFmvJlTf/Cqdov540K8ry8B8yvX++nll4Pxa502Vzti5t5QpTdOeJ2KJIPMTAlIopUuA/fcEFiuPJSdh/e5lnI+gex2wDAzVhEuwBLBSJ6jUw7TkFa80SdpqyVjNfUM0ASIMgylPI7HKfg3O5DWv5WY0RVBk1lsPRgzuo4OnW7qvvLzPjby0PLTlrNNNfrT8pYwaK2LTODdtt3m2k3sp6BUMDr9viaxxir2qf6vlDBvAoOpX1qVSpzRQW7wMjpvDBnI83jVsONO7U6Xubg1lw2Tg805RyQ37JErx2r94D5vWaXVVXv35MebDkUR86HwqYvReaMtFqtTEpZqTJXqlfA7gtkiuIYUyKiVF6lKtx4s2jGisarMoEaC2i1Uo9+f31VJymMHs8xsSorJc+nVm5yM2bSaQa2WttdWM1uV+NV1bhIfXUopxntVrPgrcZKhtsnbsY42+0LffUsr6tKhRs3Gm48p93j3bZBjdGWMlA7Nu/ej+o4SJkofaytqr5gNabbqt3mYy2s9qNVmydavOf16g9qO/rx1sfNJmiGfSQ4xpSIyImXrsRI7h+LdrntwnQab2bOHtm9Dqsxp05ZL6vtWF1ntQ2VnZKxnBII6Lfp99fXRg+3z8xdr17p2VOreqJ2wwNUplWCGvN4TlX0PCvXena7el6VbdSHbzhl282zs/Xxs07d6XZjcM1jU/XHWu0LfV+Fy0pbscpYesnIm8ed2h2jcMMV1n3TsqdBDfOQYFVf4UkFhfp4UDfnoP469Fqv5n1hdV51b5pVb67+oI6HyrrK/cMtnJBimDEloszkNcMWy1nqkTyPVZbKzE3GyGo9dv15nepfhmun232kr0FvtUa9V17rXUbCrhKCeba3U3bUTiSzsa0qP1hlWZ1miOtZPKcMbSTtjvQ2t89htR+ssqjm1yoBn6qAIMGt3NZlaGjil922zcfeKmMthfXVpDmrGrpuX4eXczrczHwnThUM4oQZUyIiJ15nCbuZBe4mmxruvk6TGcLVzHSTtbKbYOFmzGm4drrdp9I+mS2sj5ONJpNt1JYMuK93GQm7CVB67Ut91rbVeE2rcab6NoTXFcnM4y/tJtNZZdH1LJ7d2GarTLrTts23yZcp82O9ZlftJueZlyy1ysKaX6sEmGplqsq1oftI5tQukywkGJWhJOoLid4mNZNelRcL2lSZ8DoZaZS2HG4sa+Gqcdvv/cHb5K0EYsaUiChaXrKpicq82onFuNF4tifSTLbdGL5YtEmv8amya172o93YQ/NrtBp/ajU+18vxc8qM2WX19BWHhDmTLvfXVx2yyrjpGf5wWXi3Y46dyo2FG3MqzNnFlTNaZkIjyXCrZVxlgplMXtOzz24y+NGsUDc3gvOjedxzU31TH2ZMGZgSEUUrFl2TmSraZUTjsT+tAgL1ga4mYnkJoN1061oFV07DOry8ZreT6KyCfKuATgVewssCB3bt1ScJWW0z3Ot1G+iHo45BvUWA7GWIh5eAMVZDHtwuNeq0OEecMTAlIsoE5oyYSKXA127Mazy4/aC3up/TOMNY7GerICrc+EMvAZfTOFSn1+11Vr1VltLN9qwypuYMrl0GMlzQ52UMppcVnvT7RzImO1JzHY5TIt9PHjEwJSLKBOYPUpHMoQJuRBK8RPs8dhnISALMaIPScF3M6jq77Ufz/PHM2Jsn6EV7LuoZXKkp6mZSntdgPJolUL1kIKMZljHXw3AX85ATH2FgSkSU6RlT/bLb7kOvzx3JduI9ztZqrKTdmM1I2hJtVkp/TuGluoEfhjrYMc8kF7EO4N0GcXqdT6fhC9GK5lyONNs61+GYmoec+Gj4EGflExF5neGdivT6i3LZqsal/Nb3hdNsai8i3Y7Xighej6Nql6RdwtXajKQt1RXWlQ3c0p/Ta3UDr/vc7f0jea/Y1T5V3e36/o6k2oIeTLmd1d488Ug79naPNbcpkn3g9fzx8ti5Te2RFcTUcr3Cab9a1f6N1fs9QZgxJaL0lewZ8Mlm1Z2pPrS81j0Mt/14ZmKiGVNpVYcyFm1xU18yHl3tsciYxipzHM9qFJFO/PLSPW6uC+yH/xdzbd6zdsMY4lHJIU6YMSUiiiabkQ7ZXnONS/UB56Xuodvt++k4mtvltHKP1/2sZwWF1WOjyVDZPdauxmYkx8iptqmX94pd7dNw9/W6bcWqPqiZl8yq6vI21531+v8ilj0z07X6r5IhDVdb2Nxmq2ObqPdpjDBjSkTkR7GaqKPzSeYk4W1yypi6LaXkNasX6ao6sZqJH8lzRCMR2cZIV/iymp1vrmHqld3kqmjHs8411X/1upKZ27qvSfg/wIwpEVEqs8reRDtWzE3mJNHjchMx/s28co/dfvbaFrsMm+xfqQMqE69khreX/Wl3jGKZ/VcZdDX2OBbs2md3Pnk5z9R9VQZRBWtut6GOqwSi6vjareTlln6uRHMOmQ1rWuFN9W7YZc7txsW6eY/LOSltlN8+xMCUiMiPYjFRJxKJniiR7OEW5uEO0QwZ0KltSZ9kLPZnrLtjY32c7YJdu+fx8vzqvuYhKOGGPZgnZeld4tGed/rjozmHnILTgtahyhJ2+9NpaINV0K6ukxW7hE/7y9mVT0SUSWI9uSZZEtlOv9YNTWT5JTft9zL8xMt23WxDfz1e6pbG4nXHy8Qw+1OfHGXu8rd6rLpOVoXKi9HyvR6wjikREe0pljUykynWYxqdXrsfZmvHQixm3jvN+vaywlKsRTNWONraoX78Ejk3zOx8keDXwzGmRES0p1jWyEwEu3GEsR4C4PTakz3cIFainXlvt5/sutoTya5rPRbbS9Z7Y1iY1+F0u1WtU2FV49hnmDElIko3kWZ3/JgxTVS20o+v3Y/CLaearvsuld9TE+NQ4SMC7MonIspU6dL17JcP9kwVbt+n03kWDaduc31p1GQX7e+e3C8Q7MonIspUqdz1HEn5m0i2m85i9VrDdfcm8zyL1WvUtxPpNp2GN+hLoybLsKb3kASlPu2+1zFjSkRE/hGvLFw6ZfcSlcn0c7Y6Vq9R346IZNa6j5cBbSHJbWJXPhERpZ54fXj6MVCIV1CWqNeazH0aq+e2GjPrh+73NMTAlIiIKB2DU7+8jlTJQnstk+SX/ZtmOMaUiIjcyZTxl9GWyPHLfor1KlCRksk0UtxdfqfKcXdzDiR6//rlvPIJBqZERJlOfVh7Xdc91UQ7WcdvtR+THdB4WW8+FpOMYnHcvZ4DiWirl/NqbvoHsezKJyLKdH4qbeNnfuviTXZXeqTLlYpUGAKQqH0c7bKvKYJd+URE5I7quhxza/JL2/iZX7rQ/VIWzMv+0NuaKkMAErWPI92PaZpVZcaUiIiIEieFs34pYaI/9y8zpkREROQ/yc70prtRqb1/mTElIiIiorhixpSIiIiIUgoDUyIiIiLyBQamRERElDpSfNY5OWNgSkRERKnDbwsdUEwxMCUiIqLUkeKzzskZA1MiIiJKHX5b6MDP5qbesAcGpkRERETpaHrqDXtgYEpERJRIKZjFohQ1KvWGPbDAPhERUSL5dMlIonhigX0iIiI/SsEsFlGi5CTsmYiIiCg0aYcTd4gsMWNKRERERL7AwJSIiCidcbIVpRAGpkREROksBUsGUeZiYEpERJTOONmKUggnPxEREaUzTraiFMKMKRERERH5AgNTIiIiIvIFBqZERERE5AsMTImIiIjIFxiYEhEREZEvMDAlIiIiIl9gYEpEREREvsDAlIiIiIh8gYEpEREREfkCA1MiIiIi8gUGpkRERESU3oHp3XffjZEjR6KoqAjl5eWW91m1ahVOOukk4z4dOnTAjTfeiPr6+ng1iYiIiIh8LCdeG66trcXPf/5zjBgxApMmTdrj9oaGBiMo7dSpE2bMmIF169bhggsuQG5uLu655554NYuIiIiIfCoQDAaD8XyCp59+GmPHjkVFRUWL69955x2cfPLJWLt2LTp27Ghc9/jjj+N3v/sdNm3ahLy8PFfbr6ysRFlZGbZt24bS0tK4vAYiIiIiipzbeC1pY0xnzpyJQYMGNQel4rjjjjMavnDhQtvH1dTUGPfRf4iIiIgo9SUtMF2/fn2LoFSov+U2OxMmTDAibvXTvXv3uLeViIiIiHwWmN58880IBAKOP4sWLYpfawGMHz/eSAOrn9WrV8f1+YiIiIjIh5Ofrr/+elx00UWO99l7771dbUsmPc2ZM6fFdRs2bGi+zU5+fr7xo6ghsuzSJyIiIvInFaeFm9rkKTBt37698RMLMltfSkpt3LjRKBUl/ve//xkDYvfbbz/X29m+fbvxm136RERERP4mcZsMxUx4uSipUbp161bjt5SGmjdvnnF97969UVJSgmOPPdYIQM8//3zcf//9xrjSP/zhD7jyyitbZETD6dKli9Gd36pVK2MoQbTRvAS4sj3O8E9tPJbpgccxffBYpgcex/RRmeBjKZlSCUolbnMSt8D0j3/8I5555pnmv4cOHWr8njZtGo444ghkZ2fjrbfewuWXX25kT4uLi3HhhRfiT3/6k6fnycrKQrdu3WLadjlAfMOlBx7L9MDjmD54LNMDj2P6KE3gsXTKlMY9MJX6pfLjpGfPnpgyZUq8mkBEREREKSRp5aKIiIiIiHQMTDUytvW2227zNMaV/InHMj3wOKYPHsv0wOOYPvJ9eizjviQpEREREZEbzJgSERERkS8wMCUiIiIiX2BgSkRERES+wMCUiIiIiHyBgSkRERER+QIDU82jjz6KXr16oaCgAMOHD8ecOXOS3STy4PbbbzeWpdV/+vfvn+xmkQuffPIJTjnlFGOpOjlur732WovbpXiIrCbXuXNnFBYW4uijj8aSJUuS1l6K/FhedNFFe7xPjz/++KS1l6xNmDABw4YNM5b77tChA0477TQsXry4xX2qq6uNZcTbtm1rLDV+5plnYsOGDUlrM0V2HGU1TvN78rLLLkOyMDBt8uKLL+K6664zanp9+eWXGDJkCI477jhs3Lgx2U0jDwYMGIB169Y1/0yfPj3ZTSIXduzYYbzn5Muhlfvvvx8PP/wwHn/8ccyePdtYwljen/LBSKl1LIUEovr79Pnnn09oGym8jz/+2Ag6Z82ahf/973+oq6vDscceaxxfZdy4cXjzzTfx8ssvG/dfu3YtzjjjjKS2m7wfR/Gb3/ymxXtS/ucmjdQxpWDw4IMPDl555ZXNfzc0NAS7dOkSnDBhQlLbRe7ddtttwSFDhiS7GRQl+bc0efLk5r8bGxuDnTp1Cj7wwAPN11VUVATz8/ODzz//fJJaSZEcS3HhhRcGTz311KS1iSKzceNG43h+/PHHze/B3Nzc4Msvv9x8n++++864z8yZM5PYUvJyHMXhhx8evPbaa4N+wYwpgNraWnzxxRdG96CSlZVl/D1z5sykto28ke5d6ULce++9cd5552HVqlXJbhJFafny5Vi/fn2L92dZWZkx3Ibvz9T00UcfGd2K/fr1w+WXX44tW7Yku0kUxrZt24zfbdq0MX7LZ6Zk3/T3pQyd6tGjB9+XKXQclWeffRbt2rXDwIEDMX78eOzcuRPJkpO0Z/aRzZs3o6GhAR07dmxxvfy9aNGipLWLvJFA5emnnzY+7KQr4o477sDo0aOxYMECY3wNpSYJSoXV+1PdRqlDuvGlu3evvfbCsmXLcMstt+CEE04wgpns7OxkN48sNDY2YuzYsTj00EONwEXIey8vLw/l5eUt7sv3ZWodR3HuueeiZ8+eRlLnm2++we9+9ztjHOqrr76KZGBgSmlDPtyUwYMHG4GqvNleeuklXHLJJUltGxGFnHPOOc2XBw0aZLxX99lnHyOLOmbMmKS2jazJGEX5gs8x++l5HC+99NIW70mZZCrvRfniKO/NRGNXPmCkr+Wbunk2ofzdqVOnpLWLoiPf5Pv27YulS5cmuykUBfUe5PszPcmwG/kfzPepP1111VV46623MG3aNHTr1q35ennvyTC4ioqKFvfn+zK1jqMVSeqIZL0nGZgCRnfEgQceiKlTp7ZIecvfI0aMSGrbKHJVVVXGNz759kepS7p85YNOf39WVlYas/P5/kx9P/74ozHGlO9Tf5G5axLMTJ48GR9++KHxPtTJZ2Zubm6L96V0/8q4fr4vU+c4Wpk3b57xO1nvSXblN5FSURdeeCEOOuggHHzwwXjooYeMcgoXX3xxsptGLt1www1G/UTpvpeyJVL6SzLhv/zlL5PdNHLxJUL/di4TnuSfowzQl8kUMi7qrrvuQp8+fYx/rLfeeqsxHkpq8lHqHEv5kbHfUu9SvmzIF8ebbroJvXv3Nsp/kb+6fZ977jm8/vrrxhh9NW5UJh5KLWH5LUOk5LNTjmtpaSmuvvpqIyg95JBDkt18cnkc5T0ot5944olGPVoZYyplwA477DBjmE1SJLssgJ888sgjwR49egTz8vKM8lGzZs1KdpPIg7PPPjvYuXNn4/h17drV+Hvp0qXJbha5MG3aNKOEiflHSgupklG33nprsGPHjkaZqDFjxgQXL16c7GaTx2O5c+fO4LHHHhts3769UWqoZ8+ewd/85jfB9evXJ7vZZGJ1DOXnqaeear7Prl27gldccUWwdevWwaKiouDpp58eXLduXVLbTd6O46pVq4KHHXZYsE2bNsb/1t69ewdvvPHG4LZt24LJEmhqOBERERFRUnGMKRERERH5AgNTIiIiIvIFBqZERERE5AsMTImIiIjIFxiYEhEREZEvMDAlIiIiIl9gYEpEREREvsDAlIiIiIh8gYEpEREREfkCA1MiIiIi8gUGpkREREQEP/j/BAhQjfa9H10AAAAASUVORK5CYII=", | |
"text/plain": [ | |
"<Figure size 800x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# find the source centroid\n", | |
"xycen = centroid_quadratic(data, xpeak=48, ypeak=52)\n", | |
"\n", | |
"# create the radial profile (error is optional)\n", | |
"edge_radii = np.arange(26)\n", | |
"rp = RadialProfile(data, xycen, edge_radii, error=error, mask=None)\n", | |
"\n", | |
"# plot the radial profile\n", | |
"fig, ax = plt.subplots(figsize=(8, 6))\n", | |
"ax.plot(rp.radius, rp.profile)\n", | |
"\n", | |
"# raw profile\n", | |
"ax.scatter(rp.data_radius, rp.data_profile, s=1, color='C1')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "a8e7d526-fb45-4fec-bc4b-cc6530f9c302", | |
"metadata": {}, | |
"source": [ | |
"### Radial Profile - with a Constant Background" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "8045e7b8-7d57-4838-a825-72ba288770c6", | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2025-03-11T19:14:34.747088Z", | |
"iopub.status.busy": "2025-03-11T19:14:34.747020Z", | |
"iopub.status.idle": "2025-03-11T19:14:34.786028Z", | |
"shell.execute_reply": "2025-03-11T19:14:34.785748Z", | |
"shell.execute_reply.started": "2025-03-11T19:14:34.747080Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.collections.PathCollection at 0x1114f7750>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"bkg = 7.1\n", | |
"data2 = data + bkg\n", | |
"\n", | |
"# create the radial profile (error is optional)\n", | |
"edge_radii = np.arange(26)\n", | |
"rp2 = RadialProfile(data2, xycen, edge_radii, error=error, mask=None)\n", | |
"\n", | |
"# plot the radial profile\n", | |
"fig, ax = plt.subplots(figsize=(8, 6))\n", | |
"ax.plot(rp.radius, rp.profile, lw=3) # no bkg profile\n", | |
"ax.plot(rp2.radius, rp2.profile - bkg, color='red')\n", | |
"\n", | |
"# raw profile\n", | |
"ax.scatter(rp2.data_radius, rp2.data_profile - bkg, s=1, color='C1')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "7d4303d8-d941-489a-9441-c9530236cbb0", | |
"metadata": {}, | |
"source": [ | |
"### Curve of Growth - No Background" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "6668d8fd-7eae-4d2c-8749-bbcbdf181e17", | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2025-03-11T19:14:34.786437Z", | |
"iopub.status.busy": "2025-03-11T19:14:34.786345Z", | |
"iopub.status.idle": "2025-03-11T19:14:34.823967Z", | |
"shell.execute_reply": "2025-03-11T19:14:34.823711Z", | |
"shell.execute_reply.started": "2025-03-11T19:14:34.786429Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x111585f90>]" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# create the curve of growth (error is optional)\n", | |
"radii = np.arange(1, 26)\n", | |
"cog = CurveOfGrowth(data, xycen, radii, error=error, mask=None)\n", | |
"\n", | |
"fig, ax = plt.subplots(figsize=(8, 6))\n", | |
"ax.plot(cog.radius, cog.profile)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "f8d9a659-de55-4790-ab39-4d72d27e79c9", | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2025-03-11T19:12:04.291633Z", | |
"iopub.status.busy": "2025-03-11T19:12:04.290612Z", | |
"iopub.status.idle": "2025-03-11T19:12:04.297602Z", | |
"shell.execute_reply": "2025-03-11T19:12:04.296506Z", | |
"shell.execute_reply.started": "2025-03-11T19:12:04.291591Z" | |
} | |
}, | |
"source": [ | |
"### Curve of Growth - with Constant Background" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "466b8c6d-99c4-4222-8ed6-3377a6e22c6f", | |
"metadata": { | |
"execution": { | |
"iopub.execute_input": "2025-03-11T19:14:34.824497Z", | |
"iopub.status.busy": "2025-03-11T19:14:34.824413Z", | |
"iopub.status.idle": "2025-03-11T19:14:34.859978Z", | |
"shell.execute_reply": "2025-03-11T19:14:34.859746Z", | |
"shell.execute_reply.started": "2025-03-11T19:14:34.824489Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x117f64550>]" | |
] | |
}, | |
"execution_count": 5, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 800x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# create the curve of growth (error is optional)\n", | |
"radii = np.arange(1, 26)\n", | |
"cog2 = CurveOfGrowth(data2, xycen, radii, error=error, mask=None)\n", | |
"\n", | |
"fig, ax = plt.subplots(figsize=(8, 6))\n", | |
"ax.plot(cog.radius, cog.profile, lw=3) # no bkg\n", | |
"ax.plot(cog2.radius, cog2.profile - cog2.radii**2 * np.pi * bkg, color='red')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "423212a6-a1ab-4fd2-a643-89fa8c7c95c8", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.13.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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