{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Encircled Energy" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:33:43.727585Z", "iopub.status.busy": "2026-03-24T11:33:43.726790Z", "iopub.status.idle": "2026-03-24T11:33:55.398109Z", "shell.execute_reply": "2026-03-24T11:33:55.397163Z" } }, "outputs": [], "source": [ "from optiland.analysis import EncircledEnergy\n", "from optiland.samples.objectives import CookeTriplet" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:33:55.401915Z", "iopub.status.busy": "2026-03-24T11:33:55.401235Z", "iopub.status.idle": "2026-03-24T11:33:55.480214Z", "shell.execute_reply": "2026-03-24T11:33:55.478780Z" } }, "outputs": [], "source": [ "lens = CookeTriplet()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:33:55.483744Z", "iopub.status.busy": "2026-03-24T11:33:55.483441Z", "iopub.status.idle": "2026-03-24T11:33:56.180472Z", "shell.execute_reply": "2026-03-24T11:33:56.175024Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, )" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens.draw()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T11:33:56.195012Z", "iopub.status.busy": "2026-03-24T11:33:56.192666Z", "iopub.status.idle": "2026-03-24T11:34:00.529090Z", "shell.execute_reply": "2026-03-24T11:34:00.527977Z" }, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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QJTBDQ0MdfTtORdZUX7FihXmpTzJhuxSObVM4tk3p20XKsUkiQf99TUSOwQDVjvRuffnFV7FiRUffjtP9wxEQEKDahf+g/oftUji2TeHYNmVvFw7DInIsDrAhIiIiIqfCAJWIiIiInAoDVCIiIiJyKgxQiYiIiMipMEAlIiIiIqfCAJWIiIiInAoDVCIiIiJyKgxQiYiIiMipMEAlIiIiIqfCAJWIiIiInIpDA9S///4bN998M6pWraqWlfv5559zva9pGl599VVUqVIF/v7+6N27Nw4fPpzrmNjYWAwePFgtXRcSEoKRI0ciOTk51zG7du1C165d4efnp9ZYnjJlSr57+eGHH9CoUSN1TPPmzbFkyZIS3wsRERERuXiAmpKSgpYtW2L69OkFvi+B5EcffYTPPvsMGzduRGBgIPr164f09HTzMRKc7t27FytXrsTixYtV0PvQQw+Z309MTETfvn1Rq1YtbN26FVOnTsXEiRPxxRdfmI9Zv3497r33XhXcbt++HQMHDlSPPXv2lOheiIiIiMgKNCcht7Jo0SLzc6PRqEVFRWlTp041vxYfH6/5+vpq3333nXq+b98+9bnNmzebj1m6dKnm4eGhnT17Vj3/9NNPtUqVKmkZGRnmY55//nmtYcOG5ud33XWXNmDAgFz307FjR+3hhx8u9r0UR0JCgrrfS5cuFfsz5UVmZqb2888/qy39h+1SOLZN4dg2pW8X/fe0bInIcbzgpI4fP47o6GjVla4LDg5Gx44dsWHDBtxzzz1qK9367dq1Mx8jx3t6eqos52233aaO6datG3x8fMzHSObznXfeQVxcHCpVqqSOefrpp3NdX47RhxwU514KkpGRoR6W2VyRlZWlHq4gx6jh+Z/24GB0kk2vo0FDUpIBnx5bBw94oLzSkAPNIxMaMmD0kEc6UtLi8f7pz82va+p101Y9kA145Kit5pEDyFad58q+xWvuxmg0YuLcT1AeGGCEp+VDy/McRnhAUw/5SfLQNMyY8+qV5zBv3V2o5ovZIzYU+J7+e7eo37+u8ruZyN05bYAqAaGIjIzM9bo819+TbURERK73vby8EBoamuuYOnXq5DuH/p4EqLK92nWudi8FmTx5Ml577bV8r69evRoBAQFwBaeTgV922+vHxANITUF54VVhF3zC1sDDkAp4ZsLDMwMentn5DwwG0hxxgy7CiPKhgJ8MKkBOVnq+OQR5yZCwwqSmptrgrojIbQJUdzB+/PhcmVnJoMokrZ49eyIsLAyuYOmeaGD3LjSICMSLNzSy2XVysrOxdds2tG3TBgYv9/+xXHHuOyw+M7/Q9z3hCV9DAHw9/WDM8kBwQIjpucFfveZnCICPpz98DX7w8vSGl4c3DB5eMHh4w8tTtl4Wr3nBcOU1d8pOG3NycPDwITRscA08DQY4A4+cTPhkxMJbPeKubOPhnSn78abXMuPhqZUu3Mwx+CHHKwjZ3gHI8Qqw2A9U+0aDD4yeXjBqnjgfcwmRVaoDXj7QPAzQPL0AD/cv3OLvE4Qbu95YaHZUgtM+ffrA29u7wGP0ni4iciynjQSioqLU9sKFC2rmvE6et2rVynxMTExMrs9lZ2ermf3652Urn7GkP7/aMZbvX+1eCuLr66seeckvxsJ+OTqb84mZatu4SjB6Nja1gy3IPxwpxzR0bxTpMm1TWkfijuD3TbPV/tAmQ9G3dl8EeAUgwDsAgV6Bauvt6a0qW0i7SDboxhtvdPt2KSnVNhezcGP7woMNq8rOABLOAHEnTNuk80DiWSBRtueApHNAWlzxzxcQDlSoAlSIAoIiAf8Q08NPtpX+2+qv+QUDhuL9yubPTdGK+h3M9iJyDk4boEq3vASGq1atMgeB8petjC0dPXq0et65c2fEx8er2flt27ZVr/35559qXJqMD9WPeemll9QvbP0Xj/wF3bBhQ9W9rx8j1xk7dqz5+nKMvF7ce3FXp+NM3V3VK/k7+lbcxic7PlFjbnvX7I1x7cc5+nZIJ3M1U2OB2KPA5aNA7DEg/hQQfxKIO2kKSIszjtM7AKhY1fSoINsq/wWialvFFJB6/TcunoiInChAlXqlR44cMT+XyUg7duxQY0hr1qypAsZJkyahQYMGKkh85ZVXVM1UKQElGjdujP79+2PUqFGq/JMEoWPGjFGTluQ4cd9996lxoFJC6vnnn1eloz788EN88MEH5us++eST6N69O9577z0MGDAA33//PbZs2WIuRSWZrKvdi7s6HWsa/Vgj1DXGzDq7vZf2YtWpVaqrfUzrMY6+nfIpJxuIOw5cOmR6XLyyvXwYSE+4evAZUgsIqWERgF4JQitWMwWfkun0cJ+hFERE5S5AlSBQxmPq9PGaw4YNw5w5c/Dcc8+pWqlS11QypV26dMGyZctUMX3dvHnzVFDaq1cvNXt/0KBBql6p5Wz7FStW4LHHHlNZ1vDwcFVw37JW6rXXXov58+fj5ZdfxosvvqiCUJnB36xZM/MxxbkXd86g1qjEANUaPt7+sdreVPcm1Aup5+jbcX/picCFPUD0biB6l2kbsx/IMQ1dKZAEmqF1TY9KtYGQmle2tYDAcAafRETuHqD26NFDrdBUGMlcvv766+pRGMm2SnBZlBYtWmDt2rVFHnPnnXeqR1nuxd3I9+ZsnJ5BZRd/WW2J3oJ159bBy8MLo1u599AQu5PfI9Idr4LRPcAFCUj3mDKlhWVCwxsA4Q2B8Guu7DcwBaXe/FknInI0px2DSo53MSkDGdlGeHoAVUP4j3ZZg309e3p7g9tRo0INR9+S68pKA2L2wePsTjQ//TsMcz81ZUUzCumer1gdiGoOVGlh2kY2M2VDPd1/RjsRkatigEpX7d6vEuwPbwP/MS8LyZxui9kGX4MvHmrx3/ASuoqkC8D5nf9lRCVDevkIoBnVL6+6lsd6egOVGwFRzUxBqGyjWgABoY67fyIiKhUGqHTVCVKcwV/27OlH20zjou9ueDciA3Mv+EBXJF8Ezu8Azslju+khpZsKEhAOY2RTHEsJQO1ON8OraktTVz1nxhMRuQUGqFSos/F6gMoJUmXxx6k/sD92v6p1OrL5SEffjnNIuQyc3/5fMCpZ0oTTBRzoYQo8pWteZUavbIMi1eIOe5csQa3mN0rxSgd8EUREZCsMUKlQiemmNakrBfAf/9LKMebgk+2mteKHNBmCUL/Q8jmTXjKjZ7cB57YBZ7cDCacKPjasAVC1NVC1lWkrXfS+Qfa+YyIicjAGqFSo9MwctfX3cY5lJF3RkuNLcCzhGCr6VMSwpsNQLmQkA6c2AMf+Ao6tMY0bLajAfWg9UyBapRVQrY0pGPWr6Ig7JiIiJ8MAlQqVlmUKUP28GaCWRlZOFqbvmK72H2j2ACr4VIBbyskCzm79LyA9sxkwmrLvZsE1gWqSGW1jyoxWaWlawpOIiKgADFCpUGlZRrX1Z4BaKouOLMLZ5LMI8wvDvY3uhdswGlWZJxxfYwpKT64HMpPzB6R1uwN1ewC1uwIVODGMiIiKjwEqFSotM1tt2cVfcmnZafhs52dqf1SLUQiQwvCuTJYA3f8bcPRP4PjfQMrF3O/7h5oC0joSlHYHKtXhiktERFRqDFDpql38zKCW3Pz983Ex7SKqBVXDndcUvkKZ02dKT/4DbP8W2PcrkG2q6qBIwF3rWlOGVIJSqTvKwvdERGQlDFCpUGlXJklxDGrJJGQkYOaemWr/sVaPwcfgYrU5ZcnQHd8BO7417eukCH7jW0xBafX2rDlKREQ2wwCVrj4GlV38JTJn7xwkZSahfkh93FjnRrjM8qH7FwPbvzF14euz7n0rAs0GAa3vB6q1Zbc9ERHZBQNUKlQ6u/hL7GLqRXy771u1/0TrJ2DwdPK2S4oG1n8MbPsm91r2dboBrYcAjW4CfFx8/CwREbkcBqh01S5+BqjF9/muz5Gek46WlVuiR40ecFrxp4H1HwFbvwZyMv6bed/qPqDVvUCl2o6+QyIiKscYoNLVJ0n5cPJLcZxOPI0fD/2o9p9s8yQ8nLE7PPYY8M8HpjGmeq3S6h2AbuOA+r050YmIiJwCA1QqFAv1l8wnOz5BtpaN66pdh/ZR7eFUEs8Da94Bts0FNNP3VdUnlcBUuvOdMZgmIqJyiwEqFSjHqCEzm4X6i+tg7EEsPb5U7T/Z+kk4jbR4YN004N/P/isTJZlSCUxrdnL03RERERWIASoVOUFKcBb/1X28/WNo0NCvdj80Dmvs6NsBstKBTZ8Da98H0uNNr9XoCPSeaKpfSkRE5MQYoFKR3fvCz4sBalG2x2zHmjNrYPAwYEyrMY6+HeDsVmDRI8ClQ6bnlRsDvScA1/RnVz4REbkEBqh0lSL9nvD0ZFBTGE3TMG3rNLU/sP5A1A528Oz3Q8uBhUOB7HQgKBLo/RrQ4i7A2ctdERERWWCASgViDdTi+efsP9gWsw0+nj54pOUjjr2ZPT8CPz0EGLOBBv2A2z4DAkIde09ERESlwACVii4xxQC1UEbNiA+3faj272t8H6ICoxx3M1I26ufRphWgmt8JDJwBGLwddz9ERERlwKKHVHQXPydIFWr5ieU4GHcQQd5BGNlspGO79X95zBScth0O3PY5g1MiInJpzKBSgZhBLVqWMQufbP9E7Q9vOhwhfiGOuZHzu4Afhptqm7a8F7hpGidCERGRy2MGlQrEMahFW3R4EU4lnUKoXyiGNBnimJtIjgG+uxfISgXq9gBu+ZjBKRERuQUGqHSVZU4ZoOaVlp2Gz3d+rvYfavEQArwDHFPn9PvBQOIZIKw+cOccdusTEZHbYIBKBUrLNK0ixWVO8/vuwHeISYtB1cCquPOaO+1/A5oGLB4LnNkE+AUD9y4A/CvZ/z6IiIhshAEqFYhjUAuWmJmImbtnqv1HWz0KH4OP/W9i/UfAzu8AD4Mpcxpe3/73QEREZEMMUKlAHINasG/2faOC1HrB9XBT3ZvsfwNntgB/TDTt938bqHe9/e+BiIjIxhigUpFlpjgG9T9JmUmYt3+eOXtqsPfqTNkZpnJSmtFU67TDKPten4iIyE4YoFKRXfwcg/qfBQcXqCC1bnBd9K7V2/43sGYKcPEAEFgZuGEKZ+wTEZHbYoBKBeIY1NxSs1Ixd+9ctf9g8wfh6WHn/3WidwH/fGDaH/AelzAlIiK3xgCVCpRu7uLnj4j48fCPiMuIQ/Wg6rihzg12vbaHMRtevz1hKsbfZCDQ5Fa7Xp+IiMjeGH1QgZhB/U9GTgbm7Jmj9kc2HwkvT/suwNYgZjE8YvYA/qHAje/a9dpERESOwACVCsQxqP/55cgvqu5pZEAkbql3i30vfukwGkb/Ytq/cSoQVNm+1yciInIABqhUIM7iN8kyZmHWnllqf0SzEfate6ppMKx4AZ5aDoz1+wDNBtnv2kRERA7EAJUKxDqoJkuOLcHZ5LMI9QvFoAZ2DhD3/QLP42uQ4+GNnL6TOWufiIjKDQaoVCCOQQWMmhEz95hWjRraZCj8vPzsd/GMZGD5i2r3cOQAoFJt+12biIjIwRigUoGS07PVNsDXvhOCnMlfp//C8YTjqOBdAXc3vNu+F1/7LpB4FlpILRyOdMCKVURERA7EAJUKFJeapbaVArxRHmmaZh57elfDuxDkE2S/i186DKz/RO3m9JkEo6cdx70SERE5AQaoVOD4U72Lv1Jg+QyOtsVsw86LO+Hj6YP7m9xvvwtrGrBkHGDMAhr0g9agv/2uTURE5CQYoFI+camZauvl6YEK5bSLf+Zu09jTW+rfgnD/cPtd+NBy4NhqwOAL3PA2J0YREVG5xACV8olNMQWoIQE+8CiHAdKhuENYe3atWs50RNMR9ruwMQdY9Zppv9MjQGhd+12biIjIiTBApXziUkzjT0MDy+f409l7Zqtt75q9UbNiTftdeNdCIGYf4BcMdHnKftclIiJyMgxQqdAu/koB5W/86bnkc1h6fKnaf6D5A/a7cFY6sPpN036XpwH/Sva7NhERkZNhgEqFBqih5XCC1Df7vkGOloNOVTqhaVhT+114y0wg4TRQoSrQ8WH7XZeIiMgJMUClIsegliepWan4+cjPan940+H2u3BmCrD2PdN+jxcAb3/7XZuIiMgJMUClfOJTy+cY1MXHFiM5Kxk1K9RE56qd7XfhrV8DqZdNq0W1Gmy/6xIRETkpBqhUaAa1PI1BlcL8Cw4uUPuyapTM4LeL7Axg/Uem/evGAobyWdaLiIjIEgNUyqc8TpLaHrNdlZfyM/jh1vq32u/CO+YBSedNY09b3We/6xIRETkxBqiUT3mcJPX9ge/VdkDdAQj2DbbPRXOygX+mmfavewLw8rXPdYmIiJwcA1QqtA5qeVnm9FLaJaw8tdLcvW83e/4HxJ8EAsKBNsPsd10iIiInxwCVCh2DGlpOuvh/OfILso3ZaFG5BRqHNbbfhTd9Ydp2Gg34BNjvukRERE6OASrlkp6Vg7SsHLUfUg5m8cvkqF+P/qr2b69/u/0uHL0bOLsV8PRm9pSIiCgPBqhU4PhTL08PVPB1/xnley/vxbGEY2pyVN/afe1bWko0GgAEVbbfdYmIiFwAA1QqtEi/h4cH3J1emP/6mtejgk8F+1w0MxXYtdC039aOCwIQERG5CKcOUHNycvDKK6+gTp068Pf3R7169fDGG2+oblmd7L/66quoUqWKOqZ37944fPhwrvPExsZi8ODBqFixIkJCQjBy5EgkJyfnOmbXrl3o2rUr/Pz8UKNGDUyZMiXf/fzwww9o1KiROqZ58+ZYsmQJ3M3FpAy1rVzB/WeUZ+ZkYunxpWr/1np2LC2172cgIwEIqQXU6W6/6xIREbkIpw5Q33nnHcyYMQOffPIJ9u/fr55L4Pjxxx+bj5HnH330ET777DNs3LgRgYGB6NevH9LT083HSHC6d+9erFy5EosXL8bff/+Nhx56yPx+YmIi+vbti1q1amHr1q2YOnUqJk6ciC++uDKJBcD69etx7733quB2+/btGDhwoHrs2bMH7iTmSoAaUQ4C1DVn1iAxMxERARHoWKWj/S68dY5p23YY4OnU/wsSERE5hFP/6yhB4a233ooBAwagdu3auOOOO1QguWnTJnP2dNq0aXj55ZfVcS1atMDcuXNx7tw5/PyzqetWAttly5bhq6++QseOHdGlSxcV4H7//ffqODFv3jxkZmZi1qxZaNq0Ke655x488cQTeP/998338uGHH6J///4YN24cGjdurDK5bdq0UcGzO4lJNAX2kRXdP0D99YhpctTNdW+GwdNgn4vG7AdObwQ8DFzWlIiIyBUD1GuvvRarVq3CoUOH1POdO3fin3/+wQ033KCeHz9+HNHR0apbXxccHKwC0Q0bNqjnspVu/Xbt2pmPkeM9PT1VxlU/plu3bvDx+a+skmRhDx48iLi4OPMxltfRj9Gv4y4uJJoyqJEV/eDOEjISsPbsWrV/S/1b7D85quENQIUo+12XiIjIhTj1NO0XXnhBdb/LuE+DwaDGpL755puqy15IcCoiIyNzfU6e6+/JNiIiItf7Xl5eCA0NzXWMjHPNew79vUqVKqltUdcpSEZGhnro5GsRWVlZ6uGMohPS1DYswMuu96hfy17XXHNqDXK0HNQPro8aATXsc92sNHjt/A4y9Sy71RBoxbimvdvFlbBtCse2KX27sM2InINTB6gLFy5U3e/z589XXe87duzA2LFjUbVqVQwb5vy1IydPnozXXnst3+urV69GQIBzFmY/dFq6uj1w+vBeLLls//G1Mk7YHhammGbRV02varfJbtVj16FtejxSvcOw8kAacHCJ07WLK2LbFI5tU/J2SU1Nteu9EJELBqgy3lOyqDImVMjM+ZMnT6rATwLUqChTF+mFCxfULH6dPG/VqpXal2NiYmJynTc7O1vN7Nc/L1v5jCX9+dWO0d8vyPjx4/H000/nyqBKhYCePXsiLCwMzuidfX9LuX70794ZrWqE2O26krWQfzT69OkDb2/bLhAgq0ZN+clUpWFY12FoHdEa9mD4Zoba+nYehRu73uR07eJq2DaFY9uUvl30ni4iciynDlDlL1kZK2pJuvqNRqPal255CRBlnKoekMovFxlbOnr0aPW8c+fOiI+PV7Pz27Ztq177888/1TlkrKp+zEsvvaR+eem/tOSXWMOGDVX3vn6MXEcyuDo5Rl4vjK+vr3rkJddwxn80jEYNF5NNQxKqhQY55B7t0Ta7L+xWs/eDfYPRpkobeHna4X+Di4eAUxsAD08Y2g2DoYRfo7P+zDgDtk3h2DYlbxe2F5FzcOpJUjfffLMac/r777/jxIkTWLRokZpZf9ttt6n3pZC8BIyTJk3Cr7/+it27d2Po0KFqCICUgBIy415m348aNUrN/l+3bh3GjBmjsrJynLjvvvvUBCkpISXlqBYsWKBm7VtmP5988klVDeC9997DgQMHVBmqLVu2qHO50ypSWTmmGrPhQb5uXV5KdKnWxT7Bqdh2ZXJUg35ARdPPHREREblgBlXKQUmh/kcffVR100tA+fDDD6vC/LrnnnsOKSkpqq6pZEqljJQEklJMXyfjWCWQ7NWrl8rIDho0SNVOtZz5v2LFCjz22GMqyxoeHq6uYVkrVSoKyFhYKWn14osvokGDBqqUVbNmzeBuNVDDAn3g4+XUf7uUyd9nZBgD0K1aN/tcMDsD2DHftM+Vo4iIiFw7QK1QoYKqcyqPwkgW9fXXX1ePwsiMfQkuiyI1VNeuNZUdKsydd96pHu7qwpUaqBFuXGLqbPJZHIk/AoOHAddVu84+F93/G5AWC1SoCtTPXaqMiIiI8nPfNBmVWHlYRUrPnraKaKXGoNq1e7/NEMDg1H8TEhEROQUGqFSuVpFae8aUJe9W3U7d+5ePAsclKPYAWg+xzzWJiIhcHANUMovWu/gruGcXv1EzYkfMDrXfqUon+2ZPpWs/pIZ9rklEROTiGKCS2fl4U4BaNcQf7uho/FEkZSXB38sf11S6xvYXzM7k5CgiIqJSYIBKZmfjTcucVg1xzwzq9pjtatsivIV9ykvJSlEpF4GgKOCafra/HhERkZtggEpm564EqNXcNIO68+JOtW0Z0dI+F9w6x7RtPRgwsPg3ERFRcTFAJSU5IxuJ6dlqv4qbBqh6BtUuS5vGnQCOrTbttxlq++sRERG5EQaopJy/kj2t6OeFIF/3K4UUmx6L00mn1X7z8Oa2v+C2uaZtveuBSrVtfz0iIiI3wgCV8ow/dc/s6f7L+9W2dsXatq9/mpMFbJ9n2m8zzLbXIiIickMMUEk5n5Du1uNPD8QeUNuGoQ1tf7FDy4HkaCCwMtDwRttfj4iIyM0wQKVcE6SquOkMfj1AbRTayH6To1rdB3j52P56REREboYBKpWLLn67Bajxp4Ejf5j22b1PRERUKgxQye1LTKVmpeJk4kn7BKjbvwGgAXW6AWH1bHstIiIiN8UAlXKNQa0S7H4B6qG4Q9CgobJ/ZYT7h9vuQjnZwDYJUJk9JSIiKgsGqIQco/ZfBrWS+wWo+2P322eClHTtJ50D/EOBxjfb9lpERERujAEqIToxHVk5GrwNHoiq6H6TpLZf+G+JU/tNjvK17bWIiIjcGANUwqnLqWpbvVIADJ4ecCeapmHzhc1qv11UO9tdKPEccHi5aZ/d+0RERGXCAJVwOtYUoNYIDYC7kclRl9IuwcfTBy0q2zCDuv1bQDMCta4DKl9ju+sQERGVAwxQCaeuBKg1Q91v/KmePW1euTl8DTbqdjfm/Le0KbOnREREZcYAlXA67koGtZL7ZVC3RG9R2/ZR7W13kaOrgYTTgF8I0OQW212HiIionPAqzYdOnTqFkydPIjU1FZUrV0bTpk3h68tJIa6fQXWvANWoGbHx/Ea13z7ShgHq1tmmbct7AW/3y0ITERE5bYB64sQJzJgxA99//z3OnDmjJp/ofHx80LVrVzz00EMYNGgQPD2ZmHUl7joGVcpLXU6/jACvALSOaG2biyRFAweXmvbbsnufiIjIGooVST7xxBNo2bIljh8/jkmTJmHfvn1ISEhAZmYmoqOjsWTJEnTp0gWvvvoqWrRogc2bTeP+yPmlZGTjUnKm2q8Z5l4B6t9n/lbbzlU7w9vgbZuL7JgHaDlAjY5ARGPbXIOIiKicKVYGNTAwEMeOHUNYWFi+9yIiInD99derx4QJE7Bs2TKcPn0a7dvbsEuVrD7+NCTAGxX9bBTEOcg/Z/5R267VutrmAkYjsPVr037b4ba5BhERUTlUrAB18uTJxT5h//79y3I/ZGcnL7vn+NPY9FjsvrRb7Xep1sU2Fzm+Bog/CfgGA00G2uYaRERE5VCZBou+/fbbiI+Pt97dkN0dv5SitrXDAuFO1p1dBw0aGlZqiMjASNuuHNXiLsDHvQJ8IiIilw1Q33rrLcTGxlrvbsjuTlwJUOuEu1eAuvbsWrXtWt1G3fvJF4EDv5v2OTmKiIjIeQJUy5n85JqOXQlQ61Z2nwA1x5ijMqiiW/VutrnIzvmAMQuo1haIam6baxAREZVTrAdVzh13wwyqjD1NzExERZ+KaB5ug+BR/jDTu/c5OYqIiMg5CvXrpNxU1apVrXc3ZFdJ6Vm4mJSh9mu7UYC67pwpe3pt1Wvh5VmmH/GCnVgLxB4DfIKAprdb//xERETlnFdxu/I9PDzyvV6jRg1b3BPZeQZ/eJCPW5WY2hmz07bLm+qlpZrfAfgG2eYaRERE5VixuvhlKVNZQUoK8xfl8OHDGD16tJrdT64z/tSduvdleVO9vFSLyi2sf4HUWGD/r6b9NpwcRURE5LAM6scff4znn38ejz76KPr06YN27dqprn0/Pz/ExcWprv5//vkHe/fuxZgxY1SQSs7v+EX3C1CPJxxHclYy/L38UT+kvvUvsPN7ICfTNDGqqo2WTyUiIirnihWg9urVC1u2bFFB6IIFCzBv3jycPHkSaWlpCA8PR+vWrTF06FAMHjwYlSpVsv1dk1Ucu5TsduNPd13cpbZNw5paf/ypTI7a9vV/2dMChr0QERFR2ZXoX/AuXbqoB7mHwxdMAWqDiApwF7su7bJd9/7pTcDFA4CXv6k4PxEREdkEy0yVUzlGDUcv6gFqkNtlUFuE2yBA1bOnTW8D/IKtf34iIiJSGKCWU2fiUpGRbYSPlydqhLrHMp0pWSk4En9E7TevbOX6p+kJwJ6fTPusfUpERGRTDFDLefd+vcpBMHi6x1jKvZf2qln8VQKrICIgwron3/0DkJ0GVG4E1Ohg3XMTERFRLgxQy6nDMaYA9ZpIN+ret+X4U732KSdHERER2RwD1HLqcEyS2nL8aTGc2w5E7wIMPkDLe6x7biIiIip7gNq9e3fMnTtXlZgi13XkSga1vpvM4JfVzswBqrUzqHr2tPEtQECodc9NREREZQ9Qpebps88+i6ioKIwaNQr//vtvSU9BDmY0av+VmHKTLv5zKedwOf2yqn3aKLSR9U6ckQzs/p9pvy1XjiIiInLKAHXatGk4d+4cZs+ejZiYGHTr1g1NmjTBu+++iwsXLtjmLsmqzsanIS0rB94GD9Rykxn8O2J2qG2jSo3g5+VnvRPvXQRkJgGhdYHaXa13XiIiIrLuGFQvLy/cfvvt+OWXX3DmzBncd999eOWVV1CjRg0MHDgQf/75Z2lOS3bu3q8bHgQvg6dbBaitIlpZ98TmlaOGcnIUERGRnZQpOtm0aRMmTJiA9957DxERERg/frxa+vSmm25SwwDIySdIuUn3vthx0RSgto5obb2TXtgHnNkMyJKprQZb77xERERUpBIvVi7d+t98843q4j98+DBuvvlmfPfdd+jXrx88rmSYhg8fjv79+6tuf3I+7rbEqRToPxR3yPoZVD172vAGIMjKdVWJiIjIegFq9erVUa9ePTzwwAMqEK1cuXK+Y1q0aIH27duX9NRk5xqo7pJBldn7UqC/WlA16xXoz0oHdn5v2m/DlaOIiIicOkBdtWoVunYterJIxYoVsXr16rLcF9mwHJM+BtVdaqDq409bVm5pvZPu/xVIjweCawD1elrvvERERGT9MahXC07JuZ1PSEdyRja8PD1QKywQ7sAm40/12qethwCeBuudl4iIiKyfQZU6qPpYU0vymp+fH+rXr6+6/nv2ZNbJmbv3a4cHwsfL9Wfw5xhzsPPiTusGqJeOACf/ATw8gdb3W+ecREREVGwljlBk8tOxY8cQGBioglB5BAUF4ejRo2rc6fnz59G7d29Vgoqcz4HziWrbMNI9JkgdiT+iJkkFegeifkh9606Oqt8HCK5mnXMSERGR7TKoly5dwjPPPKPqnlqaNGkSTp48iRUrVqjSU2+88QZuvfXWkp6ebGzflQC1SdWKcKfxpy3CW8Bgja747Exgx3zTPleOIiIico0AdeHChdi6dWu+1++55x60bdsWX375Je699168//771rpHsqL9eoBaxT0C1O0Xt1u3vNTBJUDqJSAoCmjQzzrnJCIqRE5ODrKyshx9G0R24e3tDYPBYJsAVcaZrl+/Xo01tSSvyXvCaDSa98l5pGfl4OjFFLXf2E0CVKuvILVllmnbejBgKPH/HkRExa6oEh0djfj4eEffCpFdhYSEICoqqsD5TJZK/C/w448/jkceeURlUfVap5s3b8ZXX32FF198UT1fvnw5WrWy8pKTZJUC/TlGDaGBPois6AtXdzH1Is4mn4Wnh6fq4i/7CQ8Bx9eYJke1Ze1TIrIdPTiVVRgDAgKu+o81kTv8UZaamqoWfBJVqlSxboD68ssvo06dOvjkk0/UilKiYcOGqmv/vvvuU88lgB09enTpvgKymX3nE9S2cZUKbvHLcHuMqXu/QUgDBPlYoabr5q9M22v6AyE1y34+IqJCuvX14DQsLMzRt0NkN/7+/morQar8/BfV3V+iADU7OxtvvfWWWkVq8ODBV70Bci77zye51fhTvf6pVbr3M5KBnd+Z9ts/WPbzEREVQh9zKplTovIm4MrPvfx/UFSAWqIyU15eXpgyZYoKVO3l7NmzuP/++9VfmRL4Nm/eHFu2bMmVMn711VdVqljelxJXhw8fznWO2NhYFVDLClcy9mHkyJFITjbVA9Xt2rVLLUIgY2dr1Kihvs68fvjhBzRq1EgdI/exZMkSuJK95/QMqpsEqNYcf7prAZCRCITWA+qyhi8R2Z479GQR2ernvsR1UHv16oU1a9bAHuLi4nDdddepWV9Lly7Fvn378N5776FSpUrmYySQ/Oijj/DZZ59h48aNqj5rv379kJ6ebj5GgtO9e/di5cqVWLx4Mf7++2889NBD5vcTExPRt29f1KpVS42tnTp1KiZOnIgvvvgi1yQwqU4gwe327dsxcOBA9dizZw9cgdGoYd850wz+plWD4erSs9Ox//J+6xTo17T/uvcle+rp+gsYEBERubISj0G94YYb8MILL2D37t2qrJQEhJZuueUWq93cO++8o7KZs2fPNr8m418ts6fTpk1T42L1mqtz585FZGQkfv75Z1X6av/+/Vi2bJmayNWuXTt1zMcff4wbb7wR7777LqpWrYp58+YhMzMTs2bNgo+PD5o2bYodO3aoUll6IPvhhx+qRQrGjRunnkudVwl4ZSyuBMfO7mRsKlIyc+Dr5Yl6lV1/idM9l/YgW8tGhH8EqgZWLdvJTm0AYvYB3gFAK9M4aiIiInKcEqeKHn30UVy4cEEFb5KZ1DOJ8rjtttusenO//vqrCirvvPNONZhWllmVyVi648ePq5mQ0q2vCw4ORseOHbFhwwb1XLbSra8Hp0KO9/T0VBlX/Zhu3bqp4FQnWdiDBw+qLK5+jOV19GP06xQkIyNDZWctH/q4C3s/dp2KVdduGBkEzWiqu+dsj5K0zdZoUy1emb0vQ07Kcl3jJtPPlLHp7cjyCnTpdilvD7YN28YW7UKFk6XM5d/7vP766y/VdWvtslnFGaKXl/SgPvbYY2pooKx0OWjQIBW3WDp16hQGDBigxkNKfCHJp7zDF+VratOmDXx9fVVpzTlz5pT4/mvXrq0SaXlJL621qx3tKsZQxbys1Q7Tp09XX6tcW2KwTZs22T+DKjVO7UWWVJ0xYwaefvppVcJKsqBPPPGECiSHDRumglMhGVNL8lx/T7bS6HnH0oaGhuY6xjIza3lOeU+GFMi2qOsUZPLkyXjttdfyvb569Wq7D47/9aT8LeKJoOx4px47K1npYh2XbDrO56JPmb4en6xE9NtnWpb377QGSHDStiluu5RHbJvCsW1K3i5SBoechwSnsoS6fM/kj4cRI0aons3586+s+FeAp556Cr///ruaNyJJqzFjxuD222/HunXrzFUUJCiTWpwyfE/OP3ToUDWcUCaC6wkwOUaqEkkv66pVq/Dggw+q+S6SnHI2iVeGKkoiTXp1pZdbJrRLUG85pNGStdphwYIFKk6T60pwKgG5nuTLG3+VRJkqkctfKbYsyC/BsGQ+9YaSDKqM+ZRGkADV2Y0fP1590yx/gOSvmp49e9q9tMgPX0vG8TL6d2yKG9vXgLORXzzyC6hPnz7qf46iGDUjpv44Ve3f0+0eNAtvVurreq7/CJ5aDoxVWuO6Ox6DK7dLecO2KRzbpvTtovd0UdlIcCQTmiWxJJk3GUYnwYtMMJaheMVRnCF6eSUkJGDmzJkqgL3++uvVazJMsHHjxvj333/RqVMntSS7zGn5448/VKJJMpkybO/5559XmU1JgkmcIYkrmfci5PP//PMPPvjgA6sHqDIvRub3nD59WgWLurFjx6p5MWvXrr3qOYozVDEva7WDXGPUqFHqjwchn5E/EOReZEio3QJUibglYJQbkJT5oUOHULduXbzyyisqvSvpd2uRCL1Jkya5XpPG+fHHH9W+/o2U+7As+CrP9dS5HKMXhdVJ+lq6DfTPyzZv+l9/frVjLH+Y8pL/KeWRl/xitOc/GjJWVy8x1aJGqFP/g1WctjmWcAwJmQnwM/ihWWQzeHuW8uuR3oDtX6tdzw4PwtPF26W8YtsUjm1T8nZxVHvJ7+m0rBy7X9ff22CTagIyeblly5YqQJFg5qWXXlLd/zJvQ9ejRw8VNxTWdX61IXoFDSuUgE7+ELEckifVd2rWrKnOJwGqbCVQtuwVlWBL6rfLhGpJhhU2rE+CRmuTIYYSR0lteX2eS1ZWlgo69W56+R5JoC1DLApS2FBFmcsjQxUtJ5dbfqas7SBBsbS5JOR08v2RzxQ1BNImAeqbb76Jr7/+WjWaRMy6Zs2aqbSuNQNUmcEvKWJLEhDLbHshUb0EiJJy1gNS+etXfnD1hQI6d+6s/qeQBpRJXeLPP/9U2Vn5a04/Rv7nkR8I/ZeT/JUtCxDo31Q5Rq5j+cMpx8jrzu5CYgYup2TC4OmBRlEV4C7lpSRzWurgVBz7E4g/CfgGA01vt94NEhGVkASnTV5dbvfr7nu9HwJ8ShYKSDUcGduZN3llSd7/9ttv0b17d1SoUEHFBzK8TcaS6iRoLGo1oeIM0SvoMxKkSWBb1NC/gobs6e8VdYzEGGlpaSWq9y4ZSZnMbUkCO8sEnMROEoDqAepvv/2meqnvuusu9VziERmuUJjiDFUs6DNlbQcJfuV7X9AxBw4cgF0nSUlqXsovybgQywKr8pdSWW+moHEkkpKXjO2RI0dUyl6uLYOf9b8oJGCcNGmSmlAlYy5k/ISk/fVB3JJxldn3EkzLoF0ZgyLjUWSGv949ICtgyQ+0/IDIXw0ynkJm7Vt2zz/55JOqq0HS3PJ1Svpbui/kXK5S/1Rm7/t5F14U19VWkCpz/dPNs0zbVvcCPiyYTURUHDJMTbqPLR+y3HleksB59tlnVbfxM888gy5duuSLJ2SuhruToDNve8mYTkuSGZU4R2IeMWfOHBWc6pWSJO6w9kR0Z+dVmsL5MosrL8lIWnv2Y/v27bFo0SKVOn799dfVXwfyV5jlKlbPPfccUlJS1BgLyZTK/wASSFqOjZU0uQSSMsZDUs8yo0+6H3TyV4mMxZDAV7Ks4eHhqvi/5biNa6+9VgXI8leQTNhq0KCBKmUlmWNnt9eN6p9aZlDLVP804SxwaKlpv90DVrozIqLSd7VLNtMR1y0pCZryxgFnzpwpMC6QpJAksyT4KqniDNEr6DOSnZR4wDKLajkkT7Z5Z5kXd1ifZIBLulqmxBR520uywJYkU3zzzTerLKrEOkuXLlWz54urOEMVC/pMWdtBvrfyKOkQSJsEqJKSlgG7eje77n//+58ar2BtN910k3oURrKoErzKozDyg1DUjD/RokWLqw5ElnJX8nA1ega1aVXXX0EqLj0OJxJPqP2WlVuW/kTb5gKaEajVBajc0Ho3SERUCvJvWUm72p2dLHojmT9Z3EfGLUrwpU+kKY7iDNHLS46ToXoyJE+SUUKGCko5JX1InmxluKK+Hrw+ZE+CLr3bXY7JWyHG1sP6ZHa8LAhUvXp11KtXTw1zLK7iDFUs6DNlbQfpfZY2l/bWe67l+yPPy9rDXOIufsksykVl4K3cxE8//aS6z+WLlPfI+ew56z4ZVD17Wje4LoJl7Ghp5GQB20yTo9Cu+L8siYioeGTFRYkJpOtfAi2Z6S1D5aR8pE6G5FlOrsmrOEP0pFdXJkHpmUDpEZXhejJET8a8SnArQbEEVDJBSkg5JgnAhgwZgp07d2L58uWqd1R6UfWJzdIFL/cqvbQSZH/66adYuHChGnpoKxLES3AowxZH5Ank5WuUHuXCFGeoonxezqOzVjvINaRGvcxPksoLMgdIerZL8seIVQJUWbFJBu9KWQJJ88sPoNyQvCalO8i5xKdm4mx8mtpv4gYZ1B0XrdC9f2gZkHQeCAgHGltv5TMiIjKVoLz//vvVuErpthYyZE7GrkowpE+okqym1N4sigzRk6BKhuhJeSkZxme5DLlkDCVDalm/VqoGSM+rZFBlZrt0NUsyTSdd0jLRS7YSuMq9SrBs2RMr3exSKkmyhTLHRuafSLBtWWJKxolaswKCDEGUNpP2GTp0aK735GuUElqF0YcqSt1SyWjKmN+8QxXl85YTz63VDnfffbcq+yXXkwnrMsZWhlrmnThVUh6a1LYgu5BZb/JDdOnSJbvVQV1/5BLu+2ojaoT6Y+1zpppwzkh+yUg3gvwCKqrMy7Clw7AtZhtev/Z13NaglAPGv7kNOPon0OUpoPdEOLPitkt5xLYpHNum9O2i/56Wf8wtZ5xbO4CTQEL+8bdlLXGyrQkTJqjhCyUZK3o1kgG9ePGimvjtror781/qAS8yCFnGLeRdWUrKRpDzOHTBVP+0UZTrZ0+zcrKw59Kess3gv3zUFJzCA2hbcD05IiKiq5GJTJZ1XctC/iCSSkQyX8adg9OSKHGAevjwYbVChCyLZUkSsZLqzlsLjRzrdJype79WqOuXUdofux+ZxkyE+IagdsXapTvJ1isFoev3BiqV8hxERFTuWWO9ecvhk3I+GfPJ4ZKlDFBlfIQUypVxC1Jg1xYrUJD1nI41jcup4QYB6s6LO82z90v1c5edAWz/1rTP0lJEROQkrDlMoNwGqDL4VWbFWc4EI+fPoNZ0gwBVn8Ff6u79fb8AabFAxWpAg77WvTkiIiKymhLP4peSBDLJh5yfDLs4Y86glqywsLNnUEtly5WVo2TsqcG96g0SERGV6wBV6p9KPSxJR1++fFnNeLR8kPNISMtCUka22q9eybUzqNEp0biQegEGDwOahjUt+Qku7ANObQA8DEDrIba4RSIiIrKSEqeRevfurbZSk8wSJ0k5n1NXsqeVK/jCrxTL2Tlj937D0IYI8A4offa00Y1AxSpWvjsiIiJyaIAqKzOQazgdaxp/WqNSOe/ez0gGdn5v2m830sp3RkRERA4PULt37271myDbOB3nPjP4zROkKpdigtSeH4HMJCC0LlCHP79ERERuMwZ1ypQpSEszZeSErImbkZFhfp6UlIRHH33U+ndIZS8x5eLjT9Oz03Eg9kDpZvDLQmlbZpr2246QteRscIdERERkTcX+13r8+PEqCNXdcMMNOHv2rPm5rIP7+eefW/XmyDolplx9Bv/ey3uRrWWjsn9lVAks4fjRc9uA8zsBgy/QarCtbpGIqFyQWugDBw7M97pMnJZ5KPHx8Va9XmxsLAYPHqyWnQ0JCVFLgSYnJ191Kc3HHntMLSkeFBSEQYMG4cKFC7mOOXXqFAYMGICAgABERERg3LhxyM7Ozvc1tWnTBr6+vqhfvz7mzLmy0EsJ1K5dG9OmTcv3+sSJE9W69da0a9cudO3aVS0fWqNGDZVYLIp8PfI9K+ghK4WWpB2mT5+uvla5dseOHa2yiEGxA1SZBFXUc3I+/5WYCnCb+qclLtCvT45qOhAIDLPB3RERka1IcLp3716sXLlSLRD0999/46GHHiryM0899RR+++03/PDDD1izZg3OnTuH22+/3fy+TOaW4FSWbJdVMb/++msVdL366qvmY2SteDmmZ8+eqv772LFj8eCDD2L58uVwRomJiejbty9q1aqlatVPnTpVBcFffPFFoZ+5++67cf78+VyPfv36qaGcErQXtx0WLFiAp59+GhMmTMC2bdvQsmVLdR7LILc02N/ppoxGDWf0DKqLd/GXeoJUWjyw+0fTPleOIiKyG1kSvUWLFuahgBIMtm7dGkOHDi32Ofbv349ly5bhq6++Ulm5Ll264OOPP8b333+vgs7C1rSfOXMm3n//fVx//fVo27YtZs+erQLRf//9Vx2zYsUK7Nu3D99++63KYkqP8BtvvKGygHKf4rPPPkOdOnXw3nvvoXHjxhgzZgzuuOMOfPDBB7A2Cbq9vb0RHR2d6/WxY8eqjGhxzJs3T937rFmz0LRpU9xzzz144oknVDsUxt/fH1FRUeaHwWDAn3/+qbLUuuK0g1xj1KhRGDFihKqVL5+RzLTcS1kwQHVTMUkZyMwxwuDpgSrBfnBVkqkvdYC6awGQnQZENAFqdLTNDRIRWYP0Smam2P9ho97Qjz76CCkpKXjhhRfU85deekl1/3/yySfmY3r06KGGDBRmw4YNqlu/Xbt2uUpdenp6YuPGjQV+RrKHWVlZ5pKYQla+rFmzpjqfft7mzZsjMjLSfIxk/CQLKdla/RjLc+jH6Oewpm7duqFu3br45ptvzK9lZWWpoFMCfSG9h0UNMZD7kvP4+Pjkut+DBw8iLi6uWPcxd+5cFVhKAGp53qLaQYJiaXPLY+T7I8/L2lYlmsUvf8XIeA4hYzWkscLDw9Vzy/Gp5Dwz+KuG+MHL4Lp/h5xJOoPY9Fh4e3qjSViTEk6OmvVf9rSkQwOIiOwpKxV4q6r9r/viOcAnsEQfka52PRbQ5a2BLu9LhlK6iytUqKDGYUqZShlLqpOgsUqVwucVSEZR72rWeXl5ITQ0NF+20fIzEqRJYGtJglH9M7K1DE719/X3ijpGgliZMC7Zx+J6/vnn8fLLL+d6TQI7yTbqJGspmV4ZCyt+++03NZb2rrvuUs8bNmyI4ODgQq8h9yuZzsK+pkqVKl31PiXzfN999+X62q7WDhL8yve+oGMOHDBNbrZ5gCo/SF9++aX5uaSDLaN9/RhyDqcuu8cM/h0XTeNPJTj1Mfz3l+FVyapRFw8AUtS/hel/cCIiKjsZjzhjxoxcr0lG8/7778/1WufOnfHss8+q7nMJ0qSLPm/GrjyQoDNvplgyzNK1r5P3JYiVYQidOnVSCUAJTgMDTX88lDXYuxrJdsqQirxxnSMVO0A9ceKEbe+EbFMD1dUD1NLWP9Wzp83vAPwK/6uTiMgpyB/Tks10xHVLSIImmc1t6cyZM/mOMxqNqiSljG08cuRIia8jibC8E22k91Zm9st7hX1GspMynMAyiyqz+PXPyDbvLHN9lr/lMXln/stzyQCXJHsqpKc5b3tJFtiSZIpvvvlmlUWVTOjSpUvV7PniKux+Lb+mq/WQy3hcGbNbnPPq7SDfW3kUdExxrlsU1+37peKtIuXiJabM408jSjD+NOUSsO8X0z4nRxGRK5BhSNLVbu+HDYc/yUxyyfzJTHqZ7CTBV0lIBlYCTRnjqJNJPBL4yqSpgkiAJROOVq1aZX5NxmFKWSk5n37e3bt35wp+pUqABF16t7scY3kO/Rj9HLYgs+NlRrzMvK9Xrx6uu+66Yn9W7ksysjJ21fJ+ZWjA1br3pWzXwoULc02OsjxvUe0gwymkzS2Pke+PPC9rWzFAdVPusIpUalYqDscfLvkEqR3zgJxMoGpr04OIiOxq+/btqmyTZOYk0JKZ3k8++SSOHTtmPkZm9EuN9cLIrPH+/furGeKS8ZRsrMwilxnqVauaxutKPXaZBKVnRGWcpgRaUvZIxrxKcCuzyyVYkq5zIeWYJBAdMmQIdu7cqUomSfe61E6VWp/ikUceUff63HPPqSD7008/VUGclLCyFZl8JEHypEmT1D1bkq9x0aJFhX5Wxo5KsChfu0z0kkD3ww8/VO2gk8/LefKSYyUznXeIRnHbQa4hQ0ClXJcMExg9erSaIJf3aygpBqhuyh1qoB6KOwSjZkSEfwQiAnIPlC+U0QhsvTLTkdlTIiK7k8k9EuzIuErpthZSu1TGrkpQqE+okqym1N4sisxkl6CqV69euPHGG9U4VsvanpIxlAypLBakkxJIN910kyrQLzPbpav5p59+Mr8vXdIy0Uu2ErjKvUqw/Prrr5uPkW7233//XWULpa6nlFmSYFuCyLyF7q1FZr9Lm0n7DM1Tjku+RimhVRgJzKV8ltQtlYzmM888o/5AsKwZK5+X8xQ0OUrqxOadWFbcdpB6qu+++666ngwTkHqpkjHPO3GqpDw0Vty3G5n1Jj9Ely5dUitc2EpmthENX1mqJrJvfqk3Klcw/UXozOSXzJIlS9QvIOmeEd8d+A5vbXwL3ap3w/Re04t3oqOrgW8GAr4VgWcOlHh2qiu0C5mwbQrHtil9u+i/p+Ufc8sZ59YO4CSQkH/8ZeUdck1SmF6GL5RkrOjVSAb04sWL+PXXX+GuivvzX6IyU+QazsWnqeDU39uA8KASzHx3MgdiTbMWG1ZqWPLJUS3udvnglIiInJdMZLKs61oW8geRjIudP3++WwenJVGsAFX+oiwuW/3FSSUff1q9kr9Vux/sbf/l/WrbOKxx8T6QeB448Ltpv13Zxr4QEREVxRrrzetuvfVWdT4Z89mnTx+rndftA1QZl1DcQCdvsV5y5Ax+1x1/mmXMwpF4U1mSRqH5B3UXaPu3gJYD1OgERDa17Q0SERFZiTWHCZSrAFVmwlnWQ5Wly2Qgr15CQAq8yuytyZMn2+5OqdhO6ROkKrluialj8cdUkFrBuwKqB1W/+geMOZwcRUREVJ4CVFmqTCez3KRcxL333mt+7ZZbblHr2srMumHDhtnmTqlclZg6GGeaaXhN6DXFy94fXgkkngH8KwFNbrX9DRIREZHNlLjMlGRL27Vrl+91ec2a4zGofJeY0rv3G4Q0KNnkqFaDAW/OiiUiIipXAWqNGjVUQda8pC6WvEeOdzouzeWXOT0ef1xt64bUvfrB8aeAwytM+205OYqIiMjVlbjMlBTAleK3Ul5BX2pMMqeHDx/Gjz/+aIt7pBJIychGbEqmyy9zeizBtNpI3eBiBKjb5gLQgDrdgPDc6x0TERFROcigSoHjQ4cOqdUhYmNj1UP25TV5j5xj/GlIgDcq+Llmge6MnAycST5TvAA1J+tKgMrJUURERO6iVEudSlf+W2+9pZYOk8ebb77J7n1nKzHlwt37JxNPqiVOZQZ/uH940QcfXAIkXwACI4CGA+x1i0RE5ZJU8Bk4cGCBZZJkQmt8fLxVrydJsMGDB6sa61LyUlZaSk5OvupKRY899phasTEoKEj1+l64cCHXMbLM6oABAxAQEICIiAiMGzdOrUef92tq06YNfH19Ub9+fbW0aUnVrl0b06ZNy/f6xIkT1bKg1pKenq6+NzJh3cvLq8DvUWnbd9euXejatata9UlivSlTpuQ7zw8//KCWpJVj5B5kxTaHBKhr165Va9dee+21OHv2rHrtm2++wT///FPmG6KyOW2eIOX63ft1QupcfQa/PjmqzRDAy3VXzSIiovwkeNq7d69aC37x4sX4+++/c60vX5CnnnoKv/32mwqaZCnSc+fOqbXmLeu1S3CamZmJ9evXqzKZEnzKWvI6WYpTjunZs6daW37s2LF48MEHsXz5cjijnJwc+Pv744knnkDv3r2t1r6yUFPfvn1Rq1YtbN26FVOnTlXBtVRt0kkbSmUnCW63b9+ugmN57Nmzx74Bqowz7devn2qIbdu2ISMjw7xMl2RVybFOXk5R21phgS5dA1XUC65X9IGXjwLHpLixB9CG5c2IiJzFAw88gBYtWphjBAkGW7dujaFDhxb7HPv378eyZcvUJGyZ89KlSxd8/PHH+P7771XQWRCJRWbOnKnKYV5//fVo27YtZs+erYKof//9Vx2zYsUK7Nu3D99++63KYt5www144403MH36dHWf4rPPPlNrxb/33nto3LgxxowZgzvuuEPNw7E2CQq9vb0RHR2d6/WxY8eqzGVxBAYGYsaMGRg1ahSioqKs1r7z5s1TbTJr1iw0bdoU99xzjwqCpX11H374Ifr376+y0NJW0paSeS7rMrAlDlAnTZqkvnEyk18aVHfdddepgJUc68RlUwa1dliA+0+Q2jrbtG3QB6hUyw53RkRExfHRRx8hJSVFLewjXnrpJdX9bxm09OjRQ3VLF1XWUrqdLUtbSnbQ09MTGzduLPAzkuXLysrKlUWUrueaNWuq8+nnlW7oyMhI8zGSeJNsoWQT9WPyZiLlGP0c1tStWzfUrVtX9UTrsrKyVHAogb6Q3sTSDDEoSnHaV46R+/Px8cnVDgcPHkRcXJxN26rEs/jlpuRm8woODrb62BMqfQa1ZqjrZlAPxR1S23ohRWRQs9KB7fNM+5wcRUQuTtM0pGWb5hDYk7+Xf7GXMtdJV7CM7SxqmXN5XzKUstBPhQoV1DhMWZVSxjrqJGisUqVKodeRjKKMD7Uk4ytDQ0PzZRstPyPBlAReliQY1T8jW8vgVH9ff6+oYySITUtLU73IxfX888/j5ZdfzvWaZCWbNGlifi7d45LplSyk+O2339S40rvuuks9b9iwoYqzrKk47StbySQX1laVKlUqtK0K+x7ZLECV1PGRI0fUwF9LMv5U/gIgx8nOMeLMlRqotcNdM4OakpWCEwkn1H7jsMaFH7j/VyAtFqhYHWjQ1343SERkAxKcdpxvKt1oTxvv24gA75L9eyHjMqU7Odd5Nm5Uc1MsyXLozz77rOrylSBNupAtzZ17pQKLm5OgM2+mWDLM0rWvk/cliJVhCJ06dVLZUglOpeteHDhwAOVNiQNUGd/w5JNPqvEI8leXjFOQNK78EL7yyiu2uUsqlnPx6cg2avD18kRkBddcTelA3AFo0BAZEFn0DP4tV7r32wwFPA12uz8iovJOgiaZ1W7pzBlTaUBLRqMR69atg8FgUImt0iTEYmJicr0mM+1l5nlh4yzldclOSo+uZRZVZvHrn5Ft3pUv9Vn+lsfknfkvzyUDXJLsqQgPD8/XXpKltCSZTCnZKVlUyVguXbpUVRGwpeK0b2HtoL9X1DHFHQtrtQBVxpPID12vXr2QmpqquvulBIMEqI8//niZbobK5oR5glQAPD1L1mXjLPbH7lfbJmH/dX3kE7MfOLUe8DCYZu8TEbk46WqXbKYjrmsrMuNbMn8yk17GJErwNWJE8Vf7kwysBJoyrlQmO4k///xTxSD6QkF5yXEyP2bVqlWqvJQ+NFHKSsn59PNKeUwJzvQubpnFLsGn3u0ux+QtlSTH6OewBakSILPhq1evjnr16qm5PbZUnPaVY2T8sIyJ1ecdSTvIkAPp3tePkfaWSV3WbKsST5KSrKncrETYUkJA0tEXL15UKXxyLHeYwV+sAFUvLdXwBqBiVTvdGRGR7ci/rdLVbu9HScefFpeUG5KyTTJDXAItmfUtva/HjpkmwQqZ0T9+/PhCzyEzwmV2uPTcSsZTsrEym15mkletavrdL6UuZRKUnhGVcZoynvPpp59WY14l+JKgWIIl6ToXUjZJAtEhQ4Zg586dqnSUdK9L7VRJuIlHHnlE3etzzz2nguxPP/0UCxcuVCWsbEWCeAmSZTL6iDyBvHyNixYtKvLzUplASmJJfCbVDGRfHjppIzmPXh60OO173333qTG90qYygWzBggVq1r60r06+r1INQCoeSFtJGaotW7aoc9m9DqqQG5ZvcIcOHfINlibHzuCvFeqa40+LFaBmJAM7vzftc3IUEZHTkck9Mh5VxlVKt7WQ2poydlWCQn1ClWQ1z58/X+S5ZCa7BFXSayurVco4VssanJLZkwyp9OjqpBTUTTfdpDKo0ssrXc2yqJBOhhzIRC/ZSuAq9yrB8uuvv24+RrrZf//9d5UJbNmypQq+JNiWIFIn40StGeDL7HlpM2mfoXnKccnXKEFnUaR9pJSXTLCS4QGyLw+dtJGcR9qsuO0rAb+U5ZK6sJJlfeaZZ9QfHpa1UqUm/vz589XnpK3+97//4eeff0azZs3K1B4emkwdvArLArdXY/lDQLnJ7D/5Zl+6dEmtcGFtD369GX/sj8EbA5thSCfXKrsk/8Ms+n0RJiVMUmNQV9+1uuAxqFvnAL89CVSqAzy+Tf6PhjuTdpFuJvnFYVnWjdg2RWHblL5d9N/TEgxYzji3dgAn/+BLECQr75BrmjBhghq+YM2xopKplF7pX3/9Fe6quD//xRqDau3SBmQbJ128Burp7NMqOK0SWKXg4FT+ltr8lWm//Ui3D06JiMh5yUSmshaj18kfRLt371aZSHcOTkuiWAGqDGwm52Y0ajh5ZZnT2i46BvVUzim1bRVRyPrEZ7YA0bsBgy/QarB9b46IiMhC3koAZXHrrbeq88nY1z59+ljtvK6sxLP4JS0rZQgaNGiQ6/XDhw+rLpO89VHJPqIT05GZbYS3wQNVgl2zy+hk9km1bR3x35iZXLbMNG2b3Q4E5C7RQURE5KpsXVLKFZW4j1QG8MqatnlJkd6iliwj+5SYqlEpAF4G1+v6zjHm4Ez2mcID1NRYYM+V8c3tH7Tz3REREZE9eZamdERBtbmkfINlOQNyzPjTmi46/vRowlFkIAOBXoFoEJI7O6/smA/kZABRLYBqpnptRERE5J5KVQc1KSmpwAG+edfiJftnUF11/OmOi6Y/bpqHN4ch78pQMjlq25Ul8doOlx9CB9whEZF1FaOIDlG5/bkvcYAqNcUmT56cKxiVfXkt7zq7ZD+n9BqoLppB3Xlxp9q2rNwy/5unNwKXDgKyXnTzO+1/c0REVqSXuLKs3UlUXqRe+bm/Wgm8Ek+Sevvtt9G9e3e1zFXXrl3Va2vXrlW142SJLHJskX6XzaBeMmVQW4YXEKBu/dq0bXo74GebuoRERPYiBeJlnXh9HfSAANut6ETkTJlTCU7l515+/uX/A6sGqE2bNsWuXbtU7S9ZIszf31+teCBLWoWGcma1o77p/y1z6noZ1AspF3A+5Tw84KG6+HNJiwf2Xlnere0wh9wfEZG1yepGQg9SicqLkJAQ88+/1QJUWYVD1m397LPP8NZbb5Xl/siKLiZnIDUzB54eQPVKAS47/jTKEIVA7zwZ4D3/A7LTgMqNgertHXODRERWJhnTKlWqICIiItfSk0TuzNvb+6qZ01IFqHJiyZ6Sc87grxriDx8v1ysxtSPGFKDWNNTM/YYMpNa79yV7yi4wInIz8o91cf/BJipPShzN3H///Zg580rBdHIKJy659gz+bTHb1LamV54A9ew2IHqXaeWoFnc75uaIiIjI+QNUWUVqxowZaNeuHR5++GE8/fTTuR62JBO0pFtk7Nix5tfS09Px2GOPISwsDEFBQRg0aBAuXLiQ63OnTp3CgAED1EB06U4ZN26c+jryruLQpk0b+Pr6on79+pgzZ06+60+fPl2tlOXn54eOHTtadZkza2RQXXH8aUJGAvZf3q/263jVyf3m5q9MW64cRUREVK6UeJLUnj17VCAnDh06lOs9W85C3Lx5Mz7//HO0aNEi1+tPPfUUfv/9d/zwww8IDg5Wk7Vuv/12rFu3zlwCS4JTGZArK2CdP39eTeqS4Qr6OFpZvlWOkTVw582bh1WrVuHBBx9U44P69eunjlmwYIEKwGX8rQSn06ZNU+8dPHhQBb2OdDLWdWfwb4reBA0a6gbXRUWPinlWjvrRtM+Vo4iIiMqVEgeoq1evhr0lJydj8ODB+PLLLzFp0qRciwPIcIP58+fj+uuvV6/Nnj0bjRs3xr///qtWt1qxYgX27duHP/74A5GRkWjVqhXeeOMNPP/885g4cSJ8fHxU0FmnTh2899576hzy+X/++QcffPCBOUB9//33MWrUKIwYMUI9l89IYDxr1iy88MILcCRXnsH/77l/1bZjZEfAcjLrjnlcOYqIiKiccokZNdKFLxnO3r1753p969atavaj5euNGjVCzZo1sWHDBvVcts2bN1fBqU6CTqnbunfvXvMxec8tx+jnyMzMVNeyPMbT01M9149xZImp41fGoNZywQzqv+dNAWqHqA55JkddGWLRfiQnRxEREZUzxcqgSpe5jMmsWLGi2i/KTz/9BGv6/vvvsW3bNtXFn1d0dLTKgEpNLUsSjMp7+jGWwan+vv5eUcdIEJuWloa4uDg1VKCgYw4cOFDovWdkZKiHTs4nJKi2VlmRuNRMJKWbxtNWqeDtUuVKzqWcw6mkUzB4GNAitAU2YIO6f4+T6+B1+Qg0n0BkN7xFGgzllf79dKXvq72wbQrHtil9u7DNiFwoQJWxnfr4Utm3l9OnT+PJJ5/EypUr1cQkVyPLv7722msFDpOQCVvWcCJJ/uuFYB8Nq/9YDleyOcP0R0c1z2rY8JcpEy3f6zYnZqCGDF2o0B47V6118F06B2kXKhjbpnBsm5K3C5cfJXKhAFXGdRa0b2vSrS6rbOiTsoRkMv/++2+1ktXy5ctV93t8fHyuLKrM4tdXKZBt3tn2+ix/y2PyzvyX55IxlpWy9Dp1BR1T1GoI48ePz1XZQDKoNWrUQM+ePVXVAWv4Zed5YM9uNKwaihtvdK1C9qvXrgZOAzc2uRF9GvVR/2j06dIW/rtMZaeq3/ISqlVtjfJMsjmqXfr0ueq6xeUN26ZwbJvSt4ve00VELjZJSma8S4mmBg0a5Hr98OHD6n94KcNkLb169cLu3btzvSaTlGScqUxykmBPrimz7qW8lJBZ9VJWqnPnzuq5bN98800V6Oqz7eUXlASfTZo0MR+zZMmSXNeRY/RzyDCCtm3bqusMHDhQvWY0GtVzqRpQGClZJY+85J6t9Y/Gmfh0ta0dHuhS/xBlG7Ox6YLpD4cuNbqY7933wCJ4XJkc5VWzPcef2uBnxt2wbQrHtil5u7C9iFw0QB0+fDgeeOCBfAHqxo0b8dVXX6l6otZSoUIFNGvWLNdrgYGBKvuovz5y5EiVpQwNDVVB5+OPP64CS5nBL/r27asC0SFDhmDKlClqvOnLL7+sJl7pwaOUl5KM7HPPPae+tj///BMLFy5Us/R1co1hw4ap+q8dOnRQZaZSUlLMs/odRZ8gVSc8CK5kz6U9SMpMQkWfimgW1gzGHKOaHOW5fa7pgLbDGZwSERGVUyUOULdv347rrrsu3+sSEBaVTbQVKQUlM+olgyoTkmT2/aeffmp+X7rmFy9ejNGjR6vAVQJcCTRff/118zFSYkqCUamp+uGHH6J69eoq2NZLTIm7774bFy9exKuvvqqCXClXtWzZsnwTpxwXoLrWDP7159arbacqnWDwNKgANTTlEDwuHQK8A4Dmdzr6FomIiMhVAlSZLJWUpGbm5CI1SWV8qK3lzdDK5ClZ4UkehalVq1a+Lvy8evTooYLvokgA7oggvMgSUxdNAWrdyq4ZoF5X7b8/dmpfuvK9bTYI8LMo2k9ERETlSonroHbr1k3NTrcMRmVfXuvSpYu174+KcCk5E0kZ2aonvGZogEstb7r7kmls8bVVrzW9mBaHqvFXJrO1deywCSIiInKxDOo777yjgtSGDRuia9eu6rW1a9eqmY8ydpPs371fvZI//LwNcBUbz2+EUTOq5U2jAk1VEDz3/ACDlgUtoik8qv1XtYGIiIjKnxJnUGXC0a5du3DXXXepmfHS3S9r20vB+rwTmsi2jl9KdskJUnr3vjl7qiZHfaN2ja2HcnIUERFROVfiDKqoWrUq3nrrLevfDZXIsSsZ1LouNEFKxs2uO7cud4B6ZjM8Lu5HtocPtGZ3wHVywUREROQ0AaoUxpfi95JBlXqgliSbSvahT5BypRn8B+MOIjolGn4GP7SPurKwwNY5anOuUkdU8bPfSmVERETkJgHqb7/9hsGDByM5OVnVHdWXQBWyzwDVflyxxNRfp00z9TtX7Qw/Lz8gNRbY86N67UR4D1Rx8P0RERGRC45BfeaZZ1QxewlQJZMaFxdnfsTGxtrmLimfHKOGk5dTXTZA7VGjh+mFHfOB7HRokc0RF1DfsTdHRERErhmgnj17Fk888QQCAlynrJE7OhefhswcI3y8PFE1xB+uICY1Bnsv74UHPNCtejdZLxbYMlO9lyOlpTg5ioiIiEoToMrqSlu2bLHN3VCJJ0jVDguAwdM1Ars1Z9aobfPw5gj3DweOrQZijwG+FaE1HeTo2yMiIiJXHYM6YMAAjBs3Dvv27UPz5s3h7e2d6/1bbrnFmvdHhTh+MdnluvfXnF6Tu3t/syl7ilb3AT6u83UQERGRkwWoo0aNUlvLtewtJ0nZY7lTspwg5Ro1UNOy0/Dv+X/Vfvca3YH408ChpaY32z3g2JsjIiIi1+7il7JShT0YnNqPq9VA/ffcv8jIyUC1oGpoENLAVFpKMwK1uwKVGzr69oiIiMiVA1RyDseu1ECtWznQpcafdq/eHR45WcC2r01vtH/QsTdGRERErhug3njjjUhISDA/f/vtt1WZKd3ly5fVMqhke+lZOTiXkOYyY1CNmjF3ean9vwIpF4GgKKDRAEffHhEREblqgLp8+XJkZGSYn8tSp5Z1T7Ozs3Hw4EHr3yHlI/VPNQ2o4OeF0EAfOLu9l/bicvplBHkHoV1ku/8mR7UdDhhyT7IjIiIi8izJGupFPSf7OXplBn+9ykG5VvJyVqtPr1bb66pdB+9Lh4BT6wEPA9B2mKNvjYiIiJwQx6C6oKMx/wWorjb+FFtmmV6Urv2KVR17Y0REROTaAapk6vJm61whe+fWGdQI5x9/eirxFA7FHYLBw4BuldsAO783vcHJUURERFTWOqjSpT98+HD4+vqq5+np6XjkkUcQGGgKkizHp5JtHbkSoNZ3gQzqypMr1bZDVAcEH1wKZCYDYQ2AOt0cfWtERETk6gHqsGG5xwvef//9+Y4ZOnSode6KCmU0ajgaYyoxVS/C+QPUP07+obZ9avUBVr3/X/aU2XciIiIqa4A6e/bs4h5KNhSdmI60rBx4eXqgZmgAnNm55HPYc3kPPD08cb1nBSBmH+AdALS8x9G3RkRERE6Mk6RcdPxprbAAeBs8XSJ72iaiDcJ2LjS92PxOwD/EsTdGRERETs25IxzK58iVGfz1I1xn/GmfqE7Avl9NL3JyFBEREV0FA1QXroHqzC6kXMCOizvUfq/YaMCYBVTvAFRp4ehbIyIiIifHANXFmCdIOXmAuurUKrVtGd4CkTuudO8ze0pERETFwADVRUtMOfsM/hUnV6htH/9qQOIZICAMaHKro2+LiIiIXAADVBeSkJaFi0mmerP1Kjtvkf6Y1Bhsu7BN7fc7tcv0YtvhgLefY2+MiIiIXAIDVBdy7Er2NLKiLyr4ecNZrTixAho0tAppiKgTGwAPT6DdA46+LSIiInIRDFBdyNGLrjH+dNmJZWrbP/PKC40GAMHVHXpPRERE5DoYoLpgiSlnDlDPJ5/Hzos74QEP9DmywfRih4ccfVtERETkQhigumCJKWeugbr8xHK1betfBREZyUDlxkDtro6+LSIiInIhDFBdiCvUQDV378deML3QYRTg4eHYmyIiIiKXwgDVRWTlGHHqcqrarxfhnDP4Tyedxt7Le+EJD/SOOQn4VgRa3O3o2yIiIiIXwwDVRZy8nIJso4ZAHwOiKjpnuabFRxerbQePAIQZjUCrwYCv82Z7iYiIyDkxQHURR/QVpCKC4OGEXeZGzYifj/ys9m+9cMr0IleOIiIiolJggOoinH386aboTTiXcg4VPLzQOzUVqN8bCK/v6NsiIiIiF8QA1UUcNZeYcs7xp3r29IbkVPhpGktLERERUakxQHURzlxiKjEzEX+c/EPt3xYfC1SqbcqgEhEREZUCA1QXoGmaU68itez4MmTkZKC+0RNNMzNNY089DY6+LSIiInJRDFBdQExSBpIzsmHw9EDNsAA4m0WHF6ntbXGX4eEdALS+39G3RERERC6MAaoLLXFaMzQAvl7OlZk8FHcIey7vgReAm5JTTHVP/Ss5+raIiIjIhTFAdQHOPINfnxzVIyUNoVL7lJOjiIiIqIwYoLrSDH4nW0EqKyfLXJz/tqQkoE43ILKJo2+LiIiIXBwDVBfgrBOk/j7zN+Iy4lA5x4hr09KBDg87+paIiIjIDTBAdaExqM4WoC46YpocdXNSEryCawINb3D0LREREZEbYIDq5GT2fnRiutqv70QBakxqDNaeXav2B8rkqA4sLUVERETWwQDVyR27MkEqPMgXwQHecBa/Hf0NRs2I1unpqKN5A62HOPqWiIiIyE0wQHWZ7v1Ap1o4QJ+9PzBJSkvdCQSEOvq2iIiIyE0wQHWVElNOtMTpzos7cSLxBPyNRvRLSeXkKCIiIrIqBqhO7mhMitONP9UnR/VNSUVgzeuAqGaOviUiIiJyIwxQnZyzZVBTs1Kx7Piy/yZHdWRhfiIiIrIuBqhOLDvHiBOXU5xqDOrKkyuRmp2KmllZaOtTGWg4wNG3RERERG6GAaoTOxWbiqwcDf7eBlQN9ocz0CdH3ZqUAo/2IwGDl6NviYiIiNwMA1QXWEGqbuVAeHp6OPp2cDrxNLZc2AIPTcMtaVlAm2GOviUiIiJyQwxQXWH8qZNMkPr5qCl7KsuaRjUZBASGOfqWiIiIyA0xQHVizrTEaY4xB78eNs3e5+QoIiIisiUGqC4xg9/xE6Q2nt+I6LSLqJiTg55hLYAqLR19S0REROSmnDpAnTx5Mtq3b48KFSogIiICAwcOxMGDB3Mdk56ejsceewxhYWEICgrCoEGDcOHChVzHnDp1CgMGDEBAQIA6z7hx45CdnZ3rmL/++gtt2rSBr68v6tevjzlz5uS7n+nTp6N27drw8/NDx44dsWnTJpuu1nTUiTKoPx/+UW1vTEmFLwvzExERUXkNUNesWaOCz3///RcrV65EVlYW+vbti5QU0+Qh8dRTT+G3337DDz/8oI4/d+4cbr/9dvP7OTk5KjjNzMzE+vXr8fXXX6vg89VXXzUfc/z4cXVMz549sWPHDowdOxYPPvggli9fbj5mwYIFePrppzFhwgRs27YNLVu2RL9+/RATE2OTrz0mKQOJ6dmQuVF1wh2bQU3ISMCqU6vU/m05/kDjmx16P0REROTenLpG0LJlpoLwOgksJQO6detWdOvWDQkJCZg5cybmz5+P66+/Xh0ze/ZsNG7cWAW1nTp1wooVK7Bv3z788ccfiIyMRKtWrfDGG2/g+eefx8SJE+Hj44PPPvsMderUwXvvvafOIZ//559/8MEHH6ggVLz//vsYNWoURowYoZ7LZ37//XfMmjULL7zwgtW/9kMXktS2dlgg/LwNcKSlx5YgU8vBNRmZaNxaSkt5O/R+iIiIyL05dYCalwSkIjQ0VG0lUJWsau/evc3HNGrUCDVr1sSGDRtUgCrb5s2bq+BUJ0Hn6NGjsXfvXrRu3VodY3kO/RjJpArJvsq1xo8fb37f09NTfUY+W5iMjAz10CUmJqqt3LM8irL/XIK5QP/VjrW1Rfvmqe3A1HRkt7xfvgCrX0P/Gh39tTobtkvh2DaFY9uUvl3YZkTOwWUCVKPRqALG6667Ds2amdZ+j46OVhnQkJCQXMdKMCrv6cdYBqf6+/p7RR0jAWVaWhri4uLUUIGCjjlw4ECRY2hfe+21fK+vXr1ajYctyuqjMvrCEx6J0ViyZAkcJTonGvuST8JL09DSqxmWrNls0+vJUA7Kj+1SOLZN4dg2JW+X1NRUu94LEbl4gCpjUffs2aO63l2FZFxl3KpOAt4aNWqosa4yqasoc77YKDlj9L+2JW5sUQWO8t76CUAS0CM1DY1vm4zGEY1tch3JWsg/Gn369IG3N4cQ6NguhWPbFI5tU/p20Xu6iMixXCJAHTNmDBYvXoy///4b1atXN78eFRWlut/j4+NzZVFlFr+8px+Td7a9Psvf8pi8M//lecWKFeHv7w+DwaAeBR2jn6MgUhFAHnnJL8ai/tGQGfxHrqwi1bhqiMP+gcnKycKSk6aJYrcF1oV3tRY2v+bV2qa8YrsUjm1TOLZNyduF7UXkHJx6Fr8EahKcLlq0CH/++aeayGSpbdu26pfJqlWmGeZCylBJWanOnTur57LdvXt3rtn28he0BJ9NmjQxH2N5Dv0Y/RwyjECuZXmMDDmQ5/ox1nQhMQNJ6dkweHqoZU4d5e/jyxCnZaJydjau7fyMw+6DiIiIyhcvZ+/Wlxn6v/zyi6qFqo8ZDQ4OVplN2Y4cOVJ1o8vEKQk6H3/8cRU0ygQpIWWpJBAdMmQIpkyZos7x8ssvq3Pr2c1HHnkEn3zyCZ577jk88MADKhheuHChmqWvk2sMGzYM7dq1Q4cOHTBt2jRV7kqf1W+LGfy1wgLg6+W4GfwLt89Q25tzfOFVv6/D7oOIiIjKF6cOUGfMMAVIPXr0yPW6lJIaPny42pdSUDKjXgr0y4x5mX3/6aefmo+VrnkZHiCz9iVwDQwMVIHm66+/bj5GMrMSjEpN1Q8//FANI/jqq6/MJabE3XffjYsXL6r6qRLkSrkqKYOVd+KUNQPUayIqwFFOxB/D+tTT8NA03Nl0qJQtcNi9EBERUfni1AGqdPFfjazqJCs8yaMwtWrVuupMeAmCt2/fXuQxMtxAHrZ2+IJpBalrIh23gtSCf99R224ZOaje/hGH3QcRERGVP0yLOaFDMaYMaoNIx2RQU7NS8XO0qb7rvdV6AD5Fl8QiIiIisiYGqE5GzeA3Z1AdE6Au3jYDyR4aamZlo3PXlxxyD0RERFR+MUB1MtGJ6UjKMM3grx0e4JAA+ftDC9T+3YH14Bn8X1kvIiIiIntggOpkDl3JntZ20Az+zUeX4rAxDf5GI2699gW7X5+IiIiIAaqTOazP4HdQ9/6sTVPV9haPigiu1cUh90BERETlGwNUJ6OXmHLEBKmDp9dhXdYleGoahrVnYX4iIiJyDAaoTtrF74gSU7PWv6G2/TR/1GgyyO7XJyIiIhIMUJ1tBn+MY2bwn72wC8vTzqj9Ea0fAzw87Hp9IiIiIh0DVCdyLiEdyRnZ8JIZ/GGBdr3213+/jBwPD3Q2eqNxy2F2vTYRERGRJQaoTjhBqnZ4IHy87PetiY09gkXJx9T+A80eYPaUiIiIHIoBqhNx1BKn3//1ItI9PdDEaEDHto/a9dpEREREeTFAdSLmGfwR9ht/mpp4FvMT9qr9B665Gx6e/JEgIiIix2I04kQOOWCC1KLV45Hg6YkaRk/07jTObtclIiIiKgwDVGeawW8u0m+fLv6slIv4+tJWtT+8zk0wGLzscl0iIiKiojBAdRJn49OQkpkDb4OHmiRlD8tWv4zzXp4I1Txwy7Uv2eWaRERERFfDANXJJkjVCQ+Et8H23xZjWhy+il6r9u+vdj38fAJsfk0iIiKi4mCA6iQOx9h3gtSK1S/jmLcBFTTgnq4T7XJNIiIiouJggOpkS5w2sMP4U2N6Aj4/t1rtD6nSHRX8Qmx+TSIiIqLiYoDqZEX67TGDf9Vfr+KItwFBGjC4+xs2vx4RERFRSTBAdQJGo4bD5hJTts2gGjOS8NmZlWp/cNR1qOhXyabXIyIiIiopBqhOMoM/9coM/lphtp3B/8dfr+KQtwGBGjCk25s2vRYRERFRaTBAdaIJUnXDg2w6gz8rLQHTzqxQ+0Mir0VwQJjNrkVERERUWgxQy9EEqYWrn8dpL0+EGYERPafY9FpEREREpcUA1QnoNVBtOUEqLuEkPr3wj9p/tFpvBPgF2+xaRERERGXBANWpaqDaLoP6yconkOjpgYY5HhjUc7LNrkNERERUVgxQnWEGv7mL3zYZ1P0n/8IPyUfV/gvNRsHg7WeT6xARERFZAwNUJ5jBn5aVAx+DJ2qHWX+5UU3T8Pbal6B5eKC/0R/t2o+x+jWIiIiIrIkBqoMdulKgv27lQHjZYAb/su1fYFtOIvyMRjzTdRLg4WH1axARERFZEwNUp5nBb/3u/dTMFLy7e4baf9C3OqLq97X6NYiIiIisjQGqsyxxaoMJUl+tfQUxyEG1rGwM7/OR1c9PREREZAsMUB3s4JUA1doZ1NMJJzDntGlJ03GVO8O3ckOrnp+IiIjIVhigOlB2jhGHY0xd/I2irBugTl01FlkeQKeMbFzfe6pVz01ERERkSwxQHejE5VRkZhvh721AzVDrzeBff+IPrE46CoOm4YVrBsMjkEuaEhERketggOpAB6IT1faaqArw9LTO7PosYxbeXveq2r830xP1ujxnlfMSERER2QsDVAc6GG0af9rYit37323/DMezkxCak4PRnV4CvHysdm4iIiIie2CA6kAHrgSoDa0UoF5Ku4QZe75S+096hKNi87uscl4iIiIie2KA6gRd/NYKUKf99TySYUSTjEwM7PcRi/ITERGRS2KA6iDJGdk4HZum9htFVSzz+daf+gu/xGxS++OjesKzaqsyn5OIiIjIERigOnj8aUQFX4QGlm2caEpWCib+/bzavy8tB636TrHKPRIRERE5AgNUBweo1ujef3/dRJzPSVUrRj3Z+VXAr+wZWSIiIiJHYYDqIAevjD9tXKVsweS/5zZg4cllav9175oIaHG3Ve6PiIiIyFEYoDrIfj2DWoYlTmXW/gurn1L7dyWlosNNn3JiFBEREbk8BqgOoGmauYu/UZXSBag5xhw89+eTuJydgvqZmXi2yQggrJ6V75SIiIjI/higOkBMcgYS0rJg8PRA/YigUp3j0x3TsfnSLgQYjXgfUfDvbpokRUREROTqGKA6wOELyWpbJzwQvl6GEn/+n7P/4IvdX6r9CfGpqDNoNmDwtvp9EhERETmCl0OuWs4djklR20almMEfnRKN8WvGqf27E5NwY8+3gNC6Vr9HIiIiIkdhBtUBjsQklypAzTJmYdxfTyM+KxmNMzIxLrI70PJeG90lERERkWMwQHVogFqyElMfbp2GHZd2o0KOEe+lecP35g85a5+IiIjcDgNUBzh+ObXERfp/Pforvt43V+2/cTkeNW77CvAPsdk9EhERETkKA1QHyMrREOTrheqV/It1/PaY7Zi47lW1/1BcAnr1eB2o2cnGd0lERETkGAxQHUSypx7F6J4/m3wWY1eNQZaWgz4pqXis7kCg/Ui73CMRERGRIzBAdZDidO+nZKVgzIqHEZuZqCZFTfKrB88b37XL/RERERE5CgNUB7naDH61UtSqJ3Ak6SQqZ2fjo5xKCLh3AeDlY7d7JCIiInIEBqgOcrUZ/B/8+xb+vrAJvkYjPkz3RdT9vwD+lex2f0RERESOwgDVQRpGFp5B/WnvN/j68EK1PykFaD74V6BCpB3vjoiIiMhxuJKUA0RW9EVwQMFLk27a/z+8sXkK4AGMTs5E/7t/A0Jq2v0eiYiIiByFGdQSmj59OmrXrg0/Pz907NgRmzZtKvE56kcEFfj6Hxum4tGNE5HtAfTLBB654yeg8jVWuGsiIiIi18EAtQQWLFiAp59+GhMmTMC2bdvQsmVL9OvXDzExMSU6T4OIwFzPEy8exOvzeuKpQ3OR4eGBHpofJt29HJ6RTa38FRARERE5PwaoJfD+++9j1KhRGDFiBJo0aYLPPvsMAQEBmDVrVonO06CyKYOaknAGX/8yBAN+ux0/ZF9Sr93vXxsf3LcGfhWr2uRrICIiInJ2HINaTJmZmdi6dSvGjx9vfs3T0xO9e/fGhg0bSnSuM8cnYOzJM1hvTEKapydg8ERdzQsvthuHjs3us8HdExEREbkOBqjFdOnSJeTk5CAyMvdsenl+4MCBAj+TkZGhHrqEhAS1nRO/GwZ/g9qvadRwb81+6N/hWXgZfHD58mWUR1lZWUhNTVVfv7d3wRPIyiO2S+HYNoVj25S+XZKSktRW0zQ73x0RWWKAakOTJ0/Ga6+9lu/1Q08fMu/vB7Ace2UAgZ3vjoiICiOBanBwsKNvg6jcYoBaTOHh4TAYDLhw4UKu1+V5VFRUgZ+R4QAyqUoXHx+PWrVq4dSpU/zFl0diYiJq1KiB06dPo2LFohcxKE/YLoVj2xSObVP6dpHMqQSnVatyHgCRIzFALSYfHx+0bdsWq1atwsCBA9VrRqNRPR8zZkyBn/H19VWPvCQ45T8aBZN2Ydvkx3YpHNumcGyb0rULEwhEjscAtQQkGzps2DC0a9cOHTp0wLRp05CSkqJm9RMRERGRdTBALYG7774bFy9exKuvvoro6Gi0atUKy5YtyzdxioiIiIhKjwFqCUl3fmFd+lcj3f1S5L+gbv/yjm1TMLZL4dg2hWPbFIztQuQ6PDTW0iAiIiIiJ8KVpIiIiIjIqTBAJSIiIiKnwgCViIiIiJwKA9QymD59OmrXrg0/Pz907NgRmzZtKvL4H374AY0aNVLHN2/eHEuWLMn1vgwHlgoBVapUgb+/P3r37o3Dhw/DFVm7bX766Sf07dsXYWFh8PDwwI4dO+CqrNk2snTj888/r14PDAxUxcWHDh2Kc+fOobz/zEycOFG9L+1SqVIl9f/Txo0b4Yqs3TaWHnnkEfX/lJTNc0XWbpvhw4er9rB89O/f38ZfBRHlI5OkqOS+//57zcfHR5s1a5a2d+9ebdSoUVpISIh24cKFAo9ft26dZjAYtClTpmj79u3TXn75Zc3b21vbvXu3+Zi3335bCw4O1n7++Wdt586d2i233KLVqVNHS0tL08p728ydO1d77bXXtC+//FIm9Wnbt2/XXJG12yY+Pl7r3bu3tmDBAu3AgQPahg0btA4dOmht27bVyvvPzLx587SVK1dqR48e1fbs2aONHDlSq1ixohYTE6OV97bR/fTTT1rLli21qlWrah988IHmamzRNsOGDdP69++vnT9/3vyIjY2141dFRIIBailJEPDYY4+Zn+fk5Khf8pMnTy7w+LvuuksbMGBArtc6duyoPfzww2rfaDRqUVFR2tSpU83vS/Dh6+urfffdd1p5bhtLx48fd+kA1ZZto9u0aZNqo5MnT2quwh7tkpCQoNrljz/+0FyJrdrmzJkzWrVq1VTwXqtWLZcMUG3RNhKg3nrrrTa8ayIqDnbxl0JmZia2bt2qugx1np6e6vmGDRsK/Iy8bnm86Nevn/n448ePq+L/lsfIcnvSZVXYOctL27gLe7VNQkKC6pYMCQmBK7BHu8g1vvjiC/X/VMuWLeEqbNU2skzzkCFDMG7cODRt2hSuyJY/N3/99RciIiLQsGFDjB49GpcvX7bRV0FEhWGAWgqXLl1CTk5OvhWk5LkEmQWR14s6Xt+W5JzlpW3chT3aJj09XY1Jvffee11mDXZbtsvixYsRFBSkxht+8MEHWLlyJcLDw+EqbNU277zzDry8vPDEE0/AVdmqbWS86dy5c7Fq1SrVTmvWrMENN9ygrkVE9sOVpIjchEyYuuuuu9RkuxkzZjj6dpxCz5491YQ6CWa+/PJL1T4yUUqyY+WVZB0//PBDbNu2TWXaKbd77rnHvC+TqFq0aIF69eqprGqvXr0cem9E5QkzqKUgGRiDwYALFy7kel2eR0VFFfgZeb2o4/VtSc5ZXtrGXdiybfTg9OTJkypL6CrZU1u3i8zgr1+/Pjp16oSZM2eqrKFsy3PbrF27FjExMahZs6ZqD3nIz80zzzyjZsO7Cnv9rqlbt6661pEjR6x050RUHAxQS8HHxwdt27ZVXUCWY7rkeefOnQv8jLxuebyQQEI/vk6dOuqXpOUxiYmJKttT2DnLS9u4C1u1jR6cSkmyP/74Q5XiciX2/JmR82ZkZKA8t42MPd21a5fKLOsPKU8m41GXL18OV2Gvn5szZ86oMahS/o+I7KhYU6mowPImMsN+zpw5qlzJQw89pMqbREdHq/eHDBmivfDCC7nKm3h5eWnvvvuutn//fm3ChAkFlpmSc/zyyy/arl271ExSVy0zZe22uXz5spq5//vvv6uZ2HINeS4lYMpz22RmZqpyZNWrV9d27NiRqzRORkaGVl7bJTk5WRs/frwqu3XixAlty5Yt2ogRI9Q1ZNZ6ef//KS9XncVv7bZJSkrSnn32WfVzIxVDpOJDmzZttAYNGmjp6ekO+zqJyiMGqGXw8ccfazVr1lR1+KTcyb///mt+r3v37qpciaWFCxdq11xzjTq+adOmKtiyJKWmXnnlFS0yMlL90u3Vq5d28OBBzRVZu21mz56tAtO8D/kHpjy3jV52q6DH6tWrtfLaLvJH3W233aZKDsn7VapUUYG8lOByRdb+/8ldAlRrt01qaqrWt29frXLlyipwlXaR2qp6wEtE9uMh/7FnxpaIiIiIqCgcg0pEREREToUBKhERERE5FQaoRERERORUGKASERERkVNhgEpEREREToUBKhERERE5FQaoRERERORUGKASERERkVNhgEpEREREToUBKlE506NHD4wdO9b8vHbt2pg2bZpNr3n58mVERETgxIkTsLd9+/ahevXqSElJsfu1iYiodBigEjmh4cOHw8PDQz28vb1Rp04dPPfcc0hPT7f6tTZv3oyHHnoItvTmm2/i1ltvVcGwvTVp0gSdOnXC+++/b/drExFR6TBAJXJS/fv3x/nz53Hs2DF88MEH+PzzzzFhwgSrX6dy5coICAiAraSmpmLmzJkYOXIkHGXEiBGYMWMGsrOzHXYPRERUfAxQiZyUr68voqKiUKNGDQwcOBC9e/fGypUrc3Wb33vvvahWrZoKMJs3b47vvvsu1zmkW3vo0KEICgpClSpV8N577+W7jmUXv3TBS9Z2x44d5vfj4+PVa3/99Zd6HhcXh8GDB6vA1t/fHw0aNMDs2bML/TqWLFmivhbJYurkXHLO5cuXo3Xr1uo8119/PWJiYrB06VI0btwYFStWxH333acCXMvhCY8//rgaolCpUiVERkbiyy+/VF+nBKEVKlRA/fr11Tks9enTB7GxsVizZk0JvwtEROQIDFCJXMCePXuwfv16+Pj4mF+T7v62bdvi999/V+9LN/2QIUOwadMm8zHjxo1TQdkvv/yCFStWqMBw27ZtZbqXV155RY3rlCBw//79KjMZHh5e6PFr165V91mQiRMn4pNPPlFf2+nTp3HXXXepYHn+/Pnq65J7/vjjj3N95uuvv1bXk69TgtXRo0fjzjvvxLXXXqu+tr59+6p2sAxspd1atWql7oWIiJyfl6NvgIgKtnjxYpX5lG7pjIwMeHp6qmBOJ5nTZ5991vxcgjXJSC5cuBAdOnRAcnKy6lr/9ttv0atXL3NwJxOGyuLUqVMq69muXTv1/GrjSk+ePImqVasW+N6kSZNw3XXXqX0ZAjB+/HgcPXoUdevWVa/dcccdWL16NZ5//nnzZ1q2bImXX35Z7cvxb7/9tgpYR40apV579dVXVdC8a9euXFlbuQe5FyIicn4MUImcVM+ePVWgJd3XMgbVy8sLgwYNMr+fk5ODt956SwWkZ8+eRWZmpgpk9fGkEujJax07djR/JjQ0FA0bNizTfUnGUu5Dz1bK8APJXhYmLS0Nfn5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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "encircled_energy = EncircledEnergy(lens)\n", "encircled_energy.view()" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": 2 }