{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Flux contamination 1\n",
"## Black body model \n",
"\n",
"*Hannu Parviainen* \n",
"*Edited: 1.1.2020*\n",
"\n",
"### Introduction\n",
"\n",
"The contamination model is aimed for simulating exoplanet transit light curves where the planet host star flux is \"contaminated\" by flux from nearby stars (also called blending). Contamination leads to a decrease in the observed transit depth (the planet appears to be smaller than it truly is), and this effect is achromatic if the host and the contaminant(s) are of different spectral type.\n",
"\n",
"\n",
"The black body contamination model `pytransit.contamination.BBContamination` approximates the host and the contaminant star(s) as black bodies defined by their effective temperature $T_\\mathrm{Eff}$. This simplification can be useful, but `pytransit.contamination.SMContamination` offers a more physically accurate model."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Import"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from pytransit.contamination import BBContamination, Instrument, sdss_griz"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Initialisation\n",
"\n",
"The model is initialised with a `pytransit.contamination.Instrument` that defines the passbands (filters). We'll set up a simple instrument with approzimate sloan *g'*, *r'*, *i'*, and *z* filters available as a set as `pytransit.contamination.sdss_griz`. The initialisation of `BBContamination`also requires the name of the reference passband, `ref_pb`, that has to correspond to one of the filter names in the instrument."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"cn = BBContamination(Instrument('example', sdss_griz), ref_pb=\"r'\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Usage\n",
"\n",
"After the initialisation, the contamination ratio can be calculated using `BBContamination.contamination`, that takes the contamination in the reference passband (`cref`), the effective temperature of the host (`teff1`), and the effective temperature of the contaminant (`teff2`)."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.34872418, 0.25 , 0.20918592, 0.18660291])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cn.contamination(0.25, 4400, 6200)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model can also be plotted as a function of wavelength using `BBContamination.plot`."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig = cn.plot(3500, 5800, 0.25, nwl=1000, figsize=(13,8));"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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jc5JDmJMcQlOrmdVZh/hgSzGvr8/j5bW5DAvy4PzUCOanRhAdINccCyG6TwpYIcSAUF7XwoqdJXyyrYSNeVWAtcPl7aclMCc5xGHO1gsh7E9rzYdbi3n40z1UNbTwi8kx/H5OIr7uLvYObUhyczFyzphwzhkTzuGGVpbvLOHDrcU8sWofT6zax/gYPy4ZH8m8MWHS9VsIcUJSwPaD6upqPv/8cxYsWNDjYzzyyCNceumlxMXF9SqWrVu30traysSJE3t1HCH6Qk1TGyt3lvDxthLWZ1dg0dbrWe+ck8g5Y8OJkyY5QoiTlFNez5/+t4MNOVWMjfLl9esmkBLhY++wRAc/DxeunBTDlZNiKKpu4qOtxby3uZB73t/B3z7ezdmjw1iQHsnEOH85aSlEHxiMdYgUsP2gurqapUuX9up/nHvuuadPYtm6dSv19fVSwAq7MVs03x6oYFlGAZ/vPkRru4XYAHd+PWs454wJJynUy94hCiEckMWieX19Ho99loWL0cDfL0jhsgnRcp3rABbh68atM4fxy1Pj2VpQzdKMQj7eZi1oYwPcuSQ9iovGRRLqY7J3qEI4rMFYhwyuAnbFPVC6o3fHCB0NZz1y3Je01tx2221s374dg8HAQw89xL333ovWmnnz5nHffffxwAMPsH//fqqqqmhoaGDlypW88MILfP3118ycOZP//Oc/vPzyy2RkZNDY2MhLL71EamoqM2fOZOzYsWzYsIHzzjuPQ4cOsXHjRi666CLuvvturr32Wu666y4qKip45JFHcHV1JS8vjzfffJPRo0dz1113HfeYqampbN68mZSUFJ5//nleeOEFqqqq+PTTT1mxYkXv/lZiQEhLS7N3CN1yoKye9zYX8v7mQg7VtuDr7szlE6K4cFwkYyJ95Ey7EKLHCqoaufvdbWzIqeK0EcH888LRhHhL0eMolFKkRfuRFu3HX84ZycqdpSzNKOD/PtvLE5/vZUZiEAvSozh9ZAguTv3b/8BRcqyws76oQUDqkG4aXAWsjX300Uc4OTmxdu1aAM4++2xeeeUVRowYwZw5c7jyyisBSEpK4v777+e+++7jiy++4NZbbyU7O5t3330XgAcffBB3d3e2b9/Oo48+yuLFiwFYsGABTz31FHFxcXzwwQf861//Yty4cdx9990/iqOtrY2VK1eyatUqXnvtNZ588smfPeaFF17IU089xbRp06ipqeHWW2+lvr6e2267rb/+bGIIa24z8/G2Yt7aeJAtB6sxGhQzE4N44NxIThsZjKuTNFIRoqeUUnOBpwEj8IrW+pFjXo8G3gB8O/a5R2u9vN8DtSGtNcsyC/nbR7tQSvHYRWO4JD1STog5MHcXJy4cF8mF4yLJr2zg3cxC3s0s5FeLNxPo6cqlEyK5bEI0Uf7S+EkMLVKHHDW4CtifOWPRV7Kyspg+ffqR7fLyckaOHAlAeno62dnZwNGzdVFRURw+fPgnx3niiSf47LPPMBgMP1oge8yYMSilCA0NZezYsSilcHb+aTOD1NTUnxz/5475QyyRkZFUV1f36vcXA9PBgwcBiI6OtnMkR2WX17N4w0HezSygtrmdYUEe/OnsEZyfGkGwjIoI0WtKKSPwHDAHKAQ2KaU+0lrv7rTbn4GlWusXlFLJwHIgtt+DtZGGlnb+/MFO/reliMnx/jx+yVgi/aSoGUxiAjy484wkfnd6It/sK2fx9wd54atsnv8qm1MTg7hyUgyzkoJwsmFX+oGYY8UAZOMaBKQO6UzWoTgJI0eOZN26dUe2g4OD2bNnD1prMjIyGDZsGMCPzvxqrXF2dsZsNgNQWVnJJ598wtq1a3n22WfRWh/Zt/P7ujp7fOzxu3vMY2MRg0NlZSWVlZX2DoM2s4XlO0q44uUNzH7iaxZtyGNGYhBLbprMF3ecys0zhknxKkTfmQgc0FrnaK1bgbeB+cfsowHvjsc+QHE/xmdTWaW1nPvst3y4tYjfn57I4hsnS/E6iBkNilkjgnnlmnS+/eNp/Oa0BPaU1HLTwgymP7aGp7/YT2lNs01+9kDJsUJIHXLU4BqBtbFzzz2XFStWMG3aNFxcXPjrX//KjTfeiMVi4ZxzziE2Nva47wsLC6OpqYmLL76Yxx57jJCQEGbNmsXUqVP7JC4/P79uH3PKlClcffXVZGRksGjRoj75+WJoq25sZfH3B1n4XR6HaluI8HXj7jOTWJAeRZCXq73DE2KwigAKOm0XApOO2ecB4HOl1G8AD+D0/gnNtpZuKuAvH+7E282ZN2+cxNRhgfYOSfSjcF837piTyO2nDWd1VhmLvz/Iv77YxzNf7uf0kcFcOSmGacMDMUjzLjHISB1ylOpcJTuC9PR0nZGRcWR7z549R4bPRe/I39IxbdmyBej/RhM55fW8ui6XdzMLaW6zMD0hkGunxjIzKVi6foohQymVqbVOt8PPvQQ4U2t9Y8f2L4CJWuvfdNrnDqx5/gml1BTgv0CK1tpyzLFuBm4GiI6OHp+fn99fv8ZJaTNbeOiT3Sz8Lp9pwwP516WpcpJMAJBf2cCSjQUsyyigsqGVmAB3fjE5hkvSo/Bx6926svbKscIxyHfnvnPs37Kr/CojsEKIbtNa811OJf9dm8vqrDJcnAxckBrB9dPiZPkbIfpXIRDVaTuSn04RvgGYC6C1/k4pZQICgbLOO2mtXwJeAutJYlsF3BtVDa38anEmG3KquHlGPH+cO0JOlIkjYgI8uOesEfx+TgKf7TrEou/yePjTPTzx+T4uGBfBNVNiJUcJMYhIASuEg+t8sbytWCyaz3aV8txXB9hZVEuAhwu/Oz2BqybHEOgpIyBC2MEmIEEpFQcUAZcBVxyzz0FgNvC6UmokYALK+zXKPpBVWsuNb2RQVtfCkwvGcuG4SHuHJAYoVycj540N57yx4ewqruGN9Xm8l1nIW98fZEp8ANdMjeX0kcEn1fSpP3KsEOLkDIoCVmstLfN7ydGmkoujxowZY7Njt5ktfLi1mBe+OkB2eQPxgR48etFo5qdGYHKWpC6EvWit25VStwGfYV0i51Wt9S6l1INAhtb6I+BO4GWl1O+xNnS6VjvYP/Zf7S3jV4s34+nqxNJbppAa5WvvkISDGBXuw2MXj+Xes0by9qYC3tyQzy/fzCTC142rJsdw2YQo/DxcTngcW+ZYMThIHdJ7J5uaHL6ANZlMVFZWEhAQIP/z9EJzc/NxW2WLoam5zczSjAL+83UORdVNjAzz5tkr0jgrJUym7QkxQHSs6br8mOfu7/R4N3BKf8fVV5ZmFHDv+ztICvHitesmECJdzEUP+Hm4cOvMYdw0PY4v9pTxxvo8Hl2ZxVNf7GN+ajjXTI1lVLiPvcMUDkrqkN77oZOxydT9f+NtWsD2xyLrkZGRFBYWUl7ucLOiBpywsDB7hyB6IC8vD+Bnu8+djOY2M4u+y+c/3+RQUd/C+Bg/Hj4/hZlJQfIPsxCiX2it+feXB3hy1T6mJwTy/JXj8DLJCVbRO05GA3NTQpmbEkpWaS1vrM/nf1sKWZpRyIRYP66ZGsuZo0JxPmZ6cV/mWDH4SB3SN0wmE5GR3b88xGYFbH8tsu7s7ExcXFwfRS2E4/lhEeneJNeWdjNvbyzg2TUHKK9r4ZThATx7WhqT4vylcBVC9Jt2s4W/fLiLJRsPcuG4CB65cAwuTrJkvehbI0K9+eeFo7ln7giWZhSwcEMet721hTAfE1dPieWKidH4uFtPmvRFjhWDl9Qh9mHLEdgji6wDKKV+WGS9cwE7aBdZF8IRtJktLMso5Nkv91Nc08zEOH/+fXkak+MD7B2aEGKIaW238Lt3trB8Rym/njWMu85IkhNowqZ83J25aUY810+L48usMl79NpdHV2bxzOr9XDw+kutOibV3iEKI47BlAdtni6wfs0ZdnwcqxFBjtmj+t6WIp1fvo6CqibRoXx67eCynDJdrOIQQ/a+5zcyvFm/my6wy/nJOMjdMkxEN0X+MBsWc5BDmJIewu7iWV9fl8s6mAhZtyOeRmV6EeZukUY8QA4gt5+Uc71N+bIupy4HXtdaRwNnAIqXUT2LSWr+ktU7XWqcHBQXZIFQhhgatNV9mHeKsp7/hrmXb8HFz5rVrJ/D+rVOZlhAoyVkI0e8aW9u58Y0M1uwt4+8XpEjxKuwqOdybxy8Zy7f3zOL22QnUN7ezp7SOs55ey9KMAprbzPYOUYghz5YjsH22yLoQ4ud1t3v09sJq/rF8DxtyqogNcOe5K8Zx9uhQKVqFEHZT19zG9a9vIjP/ME9cImu8ioEj2MvEHXMS2b6jheLqZnR+E394dzuPrcziykkxXDU5hiAvWQddCHuwZQE7ZBZZF8KeUlJSunz9YGUj//f5Xj7eVkyAhwsPzh/F5ROjf9JpUQgh+lN9SzvXvLqR7YU1/PvyccwbI53wxcAzZvRoxgBnTtOsO1DJq+tyeXr1fl74KpvzUsO5YVocI8O8T3gcIUTfsVkBO1QWWRdioKppauOZ1ftZ+F0eTgYDvzltODfPiJflKIQQdtfY2s71r29iW2ENz10xjrkpofYOSYguKaWYlhDItIRAssvreW1dLu9lFvFuZiFThwVww7Q4ZiUFY5C10oWwOeVo9WJ6errOyMiwdxhCDBg5OTkAxMfHA9YGTe9sKuDxz/dS3djKgvQofj8nkRDv7i8QLYToHqVUptY63d5x9JX+yLHNbWauf30TG3IqeebyNM4ZE27TnydEbxybYzurbmxlycYC3lifR2ltM3GBHlx3SiwXjYvEw9WWkxyFGPy6yq/y6RLCwdXU1Bx5vDG3ir99vItdxbVMjPPnr+cmMyrcx47RCSHEUS3tZm5ZlMl3OZU8uWCsFK9iwOucY4/l6+7CrTOHceP0OJbvKOHVb3O5/8NdPP7ZXi6fGM01U2MJ93Xrx2iFGBqkgBViEGhtt/CbJVv4eFsx4T4mnr0ijXmjw6RBkxBiwGg3W7jtrS18va+cxy4awwVp0rBJDA7ORgPzUyM4b2w4mw8e5r/f5vLy2hxe+TaXs1JCuWFaHGnRfvYOU4hBQwpYIRxYc5uZouomiqub+HxXK7+dncAvTx2Gm4vR3qEJIcQRWmvufX8Hq3Yf4sH5o1gwIerEbxLCwSilGB/jz/gYfwqqGln4XR5vbyzgk+0ljIv25fppccwdFYqTNFEUolekgBXCQX29r5y/fLCTK4Zb8PdwYfWdU4j0c7d3WEII8ROPrtzLssxCfjs7gaunxNo7HCFsLsrfnfvmJfPb0xNZllHAa+vyuO2tLUT4unHN1BgunRCNj5s0VRSiJ6SAFcLBHKpt5sFPdvPp9hLigzxIjvQn0NNVilchxID08jc5vPh1NldNjuZ3pyfYOxwhToqra+/WevV0deK6U+K4ekosq/cc4r/f5vKP5Vk89cV+LhkfyXWnxBEb6NFH0QoxNEgBK4SDMFs0b27I5/HP9tJitnDHnERuOTUeVyeZLiyEGJjeyyzk78v3MG90GH87L0WuyxcOJzk5uU+OYzQozhgVyhmjQtlZVMOr63J5a+NBFm7IZ/aIEG6YFsfkeH/5jAjRDVLACuEAdhTW8Kf/7WBHUQ3TEwJ5aH6KnLEVQgxo3+6v4A/vbeeU4QE8eelYjLI+phAApET48OSCVO6ZO4JFG/JZ/P1Bvnj5EMlh3lw/LY5zx4bJyWkhuiAFrBADWH1LO49/tpeF3+Xh7+HKM5ence6YH3cX3r9/PwAJCTI1TwgxMOw/VMetizMZHuTJC1eNly/jwmHZMscGe5u484wkfj1rOB9sKeK/3+Zy17JtPLoyi19MjuHKSdEEePZuCrMQg5EUsEIMUN/sK+fe93dQXNPEVZNiuOvMpOM2fKivr7dDdEIIcXzldS1c9/omTM5GXr1uAt4maVQjHFd/5FiTs5HLJkZz6YQo1u6v4NV1uTy5ah/PrjnABakRXD8tjqRQL5vHIYSjkAJWiAGmprGNhz/dzbLMQuKDPFh2yxTSY/3tHZYQQpxQc5uZmxZmUFHfwtJbphDh62bvkIRwGEopZiQGMSMxiANldby6Lo/3NxfyTkYB0xMCuf6UOE5NDMIg0/HFECcFrBADyOe7SvnzBzupbGjl1pnD+O3sBEzOMnOsHgUAACAASURBVPVOCDHwWSyaO5ZuZVthNS9eNZ4xkb72DkkIhzU82It/XDCau89I4q2NB3ljfR7Xvb6JYUEeXHdKHBeNi5Q138WQJQWsEANAZX0LD3y8m4+3FTMi1Iv/XjOB0ZE+9g5LCCG67bHP9rJ8Ryl/njeSM0eF2jscIQYFPw8Xfj1rODdNj2f5jhL++20uf/5gJ49/vpcrJkZz9ZRYQn1M9g5TiH4lBawQdvbJ9mLu/3AXdc1t3DEnkV+eOgwXJ0O33+/uLuu/CiHs64MtRbz4dTZXTormhmlx9g5HiD4zUHKsi5OB89MimJ8azqa8w7z6bS4vfp3NS9/kMG9MGDdMi5NZD2LIkAJWCDupbmzl/g938dG2YsZG+vDYxZN71KQhKSnJBtEJIUT37Cis4Y/vbWdSnD8PnDdK1rEUg8pAy7FKKSbG+TMxzp+CqkZeW5fH0owCPtxazIRYP64/JY4zRoXKslViUJMCVgg7+HpfOX94dxuV9a3cOSeRW2cOw8nY/VFXIYQYCMrrWrh5UQaBnq48f+U4nOXfMSH6TZS/O/efm8zv5ySwNKOQ19fncuvizUT6uXHt1FgunRCFl3QBF4OQFLBC9KPG1nb+uTyLRRvyGR7syStX9/5a17179wID7yyxEGJwa2238OvFmznc2Mq7v5wq61WKQckRcqyXyZkbpsVx7dRYVu0u5dVv83j40z089cV+Lh4fyTVTY4kL9LB3mEL0GSlghegnmw8e5s6l28itaOCGaXHcfWZSn3QYbmxs7IPohBDi5Dz0yW425lXx9GWppERI0zkxODlSjjUaFHNTwpibEsaOwhr++20Oi7/P5/X1eZyaGMS1U2NlGR4xKEgBK4SNtbZbeGb1fp7/6gBhPm68ddMkpg4LtHdYQgjRY29vPMiiDfncMiOe+akR9g5HCHGM0ZE+PHVZGn+aN5Il3xew+Pt8rnt9E7EB7vxiSiyXpEfiLdOLhYOSAlYIG8our+e3b29hZ1EtF4+P5P5zkyVhCCEc2raCav7y4U6mJwTyh7kj7B2OEKILwV4mfnt6ArfOHMbKXaW8sT6Phz7ZzROf7+WCtAiunRpLQsjJN5AUwp5OWMAqpUxa6+ZjngvUWlfYLiwhHJvWmqUZBTzw0W5MzgZevGo8c1NkXUQhxI/1JscqpeYCTwNG4BWt9SPH2WcB8ACggW1a6yt6E+/hhlZ+tXgzwV4mnrksTTqdCuEgXJwMnDc2nPPGhrOzqIbX1+exLLOQxd8fZOqwAK6ZGsvpI0PkMy0cQnfaBW5SSk3+YUMpdRGw3nYhCeHYaprauG3JFv743g7Son1Z8dsZNi1ePT098fT0tNnxhRA21aMcq5QyAs8BZwHJwOVKqeRj9kkA7gVO0VqPAn7Xm0AtFs0dS7dSVtfM81eOw8/DpTeHE8IhDMYcmxLhw+OXjGXDvbP5w9wk8ioauGVRJjMeW8OLX2dzuKHV3iEK0aXuTCG+AnhVKfUVEA4EAKfZMighHFVmfhW3L9lKaW0zf5ibxC0zhtn8bGZCQoJNjy+EsKme5tiJwAGtdQ6AUuptYD6wu9M+NwHPaa0PA2ity3oT6AtfZ7NmbzkPzh/F2Cjf3hxKCIcxmHOsv4cLv5o5nJunx/PFnkO8vj6PR1Zk8a9V+zg/NYJrpsaSHO5t7zCF+IkTFrBa6x1Kqb8Di4A6YIbWutDmkQnhQMwWzXNrDvD06v2E+5p495dTSIv2s3dYQogBrhc5NgIo6LRdCEw6Zp9EAKXUOqzTjB/QWq/sSZzrsyt44vO9nDs2nF9MjunJIYQQA5ST0XCke3FWaS1vrM/ngy1FvJNRwMRYf66aEsPcUaG4OMk6z2Jg6M41sP8FhgFjsCbDj5VSz2qtn7N1cEI4guLqJn7/zla+z63i/NRwHjo/pV8XDt+92zrgkpycfII9hRADTS9y7PGmduhjtp2ABGAmEAmsVUqlaK2rj4nhZuBmgOjo6J8c9FBtM7cv2UJcoAf/vHA0Ssk1cmLoGGo5dkSoN/+8cDT3zB3BsswCFn6Xz+1LthDo6cKlE6K4fGI0kX7u9g5TDHHdmUK8E7hRa62B3I5rdZ60bVhCOIZVuw9x17JttJstPLlgLBeOi+z3GFpaWvr9Zwoh+kxPc2whENVpOxIoPs4+G7TWbR3H3ou1oN3UeSet9UvASwDp6ek/KoLbzRZ+s2QLDS1m3rppMp6usniBGFqGao71cXfmxunxXH9KHF/vL2fxhnxe+Cqb57/K5rSkYK6aHMOMxCBp+iTsojtTiP91zHYNcIPNIhLCAbSZLTy6IotXvs1ldIQP/748jdhAD3uHJYRwML3IsZuABKVUHFAEXIb1etrOPgAuB15XSgViHeHNOZn4nlm9n425VTy5YCyJstSGEEOOwaCYlRTMrKRgiqqbWPL9Qd7eVMDq1zcR6efGFZOiWZAeRaCnq71DFUNId6YQ5/LTaUloreO78d5+b/EvhK0VVzdx21ub2XywmmumxPCneSNxdTLaOywhhAPqaY7VWrcrpW4DPsOaY1/VWu9SSj0IZGitP+p47Qyl1G7ADNytta7sbmzfZVfy7zUHuGhcpF1mlwghBpYIXzfuOjOJ22cn8PnuUt7ckM9jK/fyr1X7OCsljCsnRTMxzl8uMxA21525QOmdHpuASwD/E72pU4v/OVinMW1SSn2ktd7daZ/OLf4PK6WCTyZ4Ifrbmr1l3PHOVtrMmueuGMe8MWH2DkkI4dh6lGMBtNbLgeXHPHd/p8cauKPjdlION7Ty+3e2EhvgwYPzR53s24UQg5iLk4FzxoRzzphwDpTV8eaGg7y3uZCPthWTGOLJlZNiuGBcBN792A9EDC0nbCemta7sdCvSWj/FSbb411q3Aj+0+O+sT1v8C2Er7WYL//dZFte9tolQHzc+/s20AVO8+vj44OPjY+8whBA90Isca8uYuPvd7VQ2tPDvy9PwkOtexRAmObZrw4O9eOC8UXz/p9k8etFoXJ2M/PWjXUz+x2rufX87O4tq7B2iGIS6M4V4XKdNA9azxd25EKZfW/wLYSs/dOD8PreKyydG8ddzR2FyHjhThuPjTzibXwgxQPUix9rMwu/y+WLPIf5yTjIpEfLFXQxtkmO7x93FiUsnRHPphGi2FVTz5oZ83t9cxJKNBaREeHPZhGjmp4b36yoNYvDqzmnVJzo9bgfygAXdeF+/tfgXwlbWHajgt29bO3Daq8uwEGJQ62mOtYnmNjN/X76HWUlBXH9KrL3CEEI4sLFRvoyN8uXP85L5YGsRSzYe5M8f7OTvn+7hnDFhXDYxinHRfnKtrOix7nQhntXDY/dLi38hbMFi0fz7ywM8tXofw4I8WXLTOBIGaAfOnTt3ApCSkmLnSIQQJ6sXOdYmDlY1MsLNmccvGStfLoVAcmxv+Lg7c83UWK6eEsO2whre3niQj7YVsyyzkMQQTy6dEM2FaRH4ebjYO1ThYH62gFVKddn0QWt9onXq+qXFvxB9raapjTve2crqrDIuSIvg7xek4O4ycK8Ba2trs3cIQoiT1Ac51iZa2i3869JUAmRJDCEAybF9QSlFapQvqVG+/PmcZD7ZVsySTQU89MluHl2RxdyUUC6bEMXk+AAMsq6s6IauvpX3aripP1r8C9HXskpruWVRJkWHm3hw/ih+MTlGRiGEELYwIKd0BHm5csrwQHuHIYQYpDxdnbhsYjSXTYxmT0ktb288yP+2FPHRtmJiAty5dEIUF4+PJNjLZO9QxQDWVQHrrrX+o1LqEq31sp4c3JYt/oXoax9uLeKe93bgZXLi7Zsnkx7brZUshBCiJ3qdY20hxFu+NAoh+sfIMG/+Nj+Fe88eyYqdJSzZWMBjK/fy5Of7mD0ymEvGR3FqUhDOxhMumiKGmK4K2LOVUn/Guk7rgEmuQvS1NrOFfy7P4tV1uUyI9eO5K8YRLF/ihBC2NSBzrMw3EUL0N5OzkQvSIrkgLZLs8nre2VTAe5mFfLbrEIGerlyQFs7F46NICh2QE1eEHXRVwK4EKgAPpVRtp+cV1sFTb5tGJkQ/KKtr5ra3trAxt4prp8Zy37yRDnemz8/Pz94hCCFOnuRYIRyA5Nj+NSzIkz+dPZK7z0ziq73lvJtZwGvr8nh5bS5jIn24eHwk540Nx9ddGj8NZco6i7eLHZT6UGs9v5/iOaH09HSdkZFh7zDEIJCZf5hfLc6kpqmNRy4cw/lpEfYOSQjhYJRSmVrr9F68X3KsEEJ0obK+hQ+3WrsX7ympxcVoYE5yCBePj2R6QiBODjbwILqnq/zanWV0BkxiFaIvaK158/uDPPjxLsJ83Hj/1okkh8tghxCi/0mOFUKIrgV4unL9tDiunxbHruIa3s0s5MOtxXy6o4RgL1cuHBfJxeMjGR7sae9QRT8ZuGuDCGEDLe1m/vy/nSzLLGRmUhBPX5qGj7uzvcPqle3btwMwZswYO0cihBBCDC6SYweWUeE+jAr34d6zRvJlVhnvZhbw8tocXvw6m7RoXy4eH8k5o8Md/rud6JoUsGLIKKtr5peLMtl8sJrbTxvO705PHBTrjZnNZnuHIIQQQgxKkmMHJhcnA3NTQpmbEkp5XQsfbCliWWYB9/1vJ3/7aDenjQjm/LQIZo0IwtXJaO9wRR/rVgGrlHIDorXWe20cjxA2sbOohpsXZlDV2MrzV47j7NFh9g5JCCEAybFCCNEbQV6u3DQjnhunx7GzqJYPthbx4dZiVu4qxdvkxLwx4VyQFkF6jN+gGLgQ3ShglVLnAo8DLkCcUioVeFBrfZ6tgxOiLyzfUcKdS7fh5+7Mu7+cSkqEj71DEkIIQHKsEEL0FaUUoyN9GB3pw71njWBddiUfbCnigy1FLNl4kAhfN85PC+f81AgSQmRJHkfWnRHYB4CJwFcAWuutSqlYm0UkRB+xWDTPfLmfp77Yz7hoX178xXiCvWR9VyHEgPIAkmOFEKJPORkNnJoYxKmJQTx8fjurdh/if1uKeOGrbJ5bk82ocG8uSIvgvLHhBHvLd0NH050Ctl1rXaOUDLkLx9HY2s5dy7axfEcpF42L5B8XpgzaayACAgLsHYIQouckxwoxgEmOdXwerk6cnxbB+WkRlNU188m2Ej7YWsTDn+7hH8v3cMrwQOanRnDGqBC8TdL8yRF0p4DdqZS6AjAqpRKA24H1tg1LiJ4rrm7ipoUZ7C6p5b6zR3Lj9DgG85fD6Ohoe4cghOg5ybFCDGCSYweXYC/TkSV5DpTV8+HWIv63pYi7lm3D5X0DM5OCOHdsOLNHBuPuIr1uB6ru/Jf5DXAf0AK8BXwGPGzLoIToqcz8w9yyKJOWNjOvXjOBWSOC7R2SEEJ0RXKsEELYwfBgT+48I4k75iSy+WA1n2wv5tPtJXy++xBuzkZmjwzm3LHhnJoYhMl5cM7ic1RKa931Dkqlaa239FM8J5Senq4zMjLsHYYYgN7NLORP7+8gzNfEK1enD5kL9LdssX4809LS7ByJEEOPUipTa53ei/dLjhViAJMcO7SYLZpNeVV8vK2YFTtLqWpoxcvViTNGhXLO2DCmDQ/E2Wiwd5hDQlf5tTsjsE8qpcKAZcDbWutdfRqdEL1ktmgeXZnFS9/kMHVYAM9dMQ4/Dxd7hyWEEN0hOVYIIQYIo0ExOT6AyfEBPHDeKNZnV/LJNuuSPO9tLsTP3Zm5KWGcOzaMSXEBGGVZHrs4YQGrtZ6llAoFFgAvKaW8gXe01jLFSdhdXXMbty/Zwpq95Vw9JYa/nJMsZ8aEEA5DcqwQQgxMzp07GV+Qwtp9FXy8vZgPt1qX5QnycmXuqFDOSgllYpw/TvL9s9906+pkrXUp8IxSag3wB+B+5BodYWd5FQ3cuDCDvIoGHj4/hasmx9g7JCGEOGmSY4UQYmBzdTJyenIIpyeH0NRq5susMj7ZXsyyzAIWbcjH38OFM5JDOGt0GFPiA3BxkmLWlk5YwCqlRgKXAhcDlcDbwJ02jkuILq0/UMGv3toMwMIbJjJ1WKCdIxJCiJMnOVYIIRyLm4uReWPCmDcmjMbWdr7eW86KnaV8sr2EtzcV4G1y4vTkEM5KCWN6QqA0gLKB7ozAvgYsAc7QWhfbOB4hTmjRd3k88PFuhgV58MrVE4gOcLd3SHYVHCydloVwYJJjhRjAJMeKrri7OHHW6DDOGh1Gc5uZb/dXsGJnKat2l/L+5iI8XIycNjKEs1JCmZkUJEvz9JHuXAM7uT8CEeJE2swW/vbxLt7ccJDZI4J56rJUvGTBaSIiIuwdghCihyTHCjGwSY4V3WVyPjrNuLV9NN/lVLJyZwmf7TrEx9uKMTkbmJkYzNyUUGYlBePjLt9he+pnC1il1FKt9QKl1A6g81o7CtBa6zE2j06IDocbWvnV4s18l1PJL08dxt1nJknntw5msxkAo1GmqAjhKCTHCuEYJMeKnnBxOtoA6qH5FjbmVbFyZykrdpayclcpTgbFpHh/5oy0FryRfkN7NuHJ+tl1YJVSYVrrEqXUcTvjaK3zbRrZz5A16oae/YfquOGNDEprm3n0otFckBZp75AGFFmjTgj76ek6sJJjhXAMkmNFX7JYNFsLq/l81yFW7S4lu7wBgOQwb+YkhzAnOYRR4d4oJYM0PVoHVmtd0vHwV1rrPx5zwEeBP/70XUL0rS+zDnH7kq24uRh55+bJpEX72TskIYTotb7IsUqpucDTgBF4RWv9yM/sdzHWdWYnaK2lOhVCCDsxGBTjov0YF+3HPWeNIKe8nlW7D7Fq9yGe+XI/T6/eT4SvG6ePDGZOciiT4v1lecjj6M6VxHP4aSI96zjPCdFntNa89E0Oj6zMYlS4Ny9fnU6Yj5u9wxJCiL7WoxyrlDICz3W8vxDYpJT6SGu9+5j9vIDbge/7LGIhhBB9Ij7Ik1tO9eSWU4dRUd/Cl3vK+Hz3Id7eVMAb3+XjZXJiVlIwc5JDmJEYhI+bXDcLXV8DeyvwKyBeKbW900tewDpbByaGruY2M396fwfvbyli3pgwHr94LG4ucu2JEGLw6IMcOxE4oLXO6Tje28B8YPcx+z0EPAbc1eughRBC2EygpysLJkSxYEIUTa1m1u4vZ9XuQ6zOKuOjbcU4GRTjY/w4bUQwp40IZniw55CdatzVCOxbwArgn8A9nZ6v01pX2TQqMWSV1TVzy6JMthys5s45idx22vAh++EUQgxqvc2xEUBBp+1CYFLnHZRSaUCU1voTpZQUsEII4SDcXIycMSqUM0aFYrZoNh88zJdZZazJKuOfK7L454osIv3cOG1EMLOSgpkyLGBIrTfb1TWwNUANcDmAUioYMAGeSilPrfXB/glRDBU7i2q4aWEG1Y1tvHjVOOamhNk7JIcQGhpq7xCEECepD3Ls8c7sHenKqJQyAP8Crj1RLEqpm4GbAaKjo7sTvhBDhuRYYW9Gg2JCrD8TYv3549wRFFc3sWavtZhdllHIwu/yMTkbmDoskFkdo7MRvoP7srsTXgOrlDoXeBIIB8qAGGAPMKob75UGE6JbPt1ewp3LthLg4cq7t05hVLiPvUNyGGFhUugL4ah6kWMLgahO25FAcadtLyAF+KpjFkso8JFS6rxj86zW+iXgJbB2Ie7xLyPEICQ5Vgw04b5uXDkphisnxdDcZub73CrWZJXxZcftL0BiiKe1mE0KZnyMH06DrBFUd5o4PQxMBr7QWqcppWbRcca4K9JgQnSHxaJ5avV+nlm9n/QYP178xXgCPV3tHZZDaW1tBcDFxcXOkQgheqBHORbYBCQopeKAIuAy4IofXuwY4Q38YVsp9RVwl5wkFuLkSI4VA5nJ2Xhkvdm/nptMdnkDX+21FrL/XZvLf77OwcvVianDA5ieYN0vyt/x15ztTgHbprWuVEoZlFIGrfWajhb/JyINJkSXGlvbuXPpNlbsLOWS8ZE8fEEKrk5DZ/5+X9m1axcga9QJ4aB6lGO11u1KqduAz7DOcnpVa71LKfUgkKG1/sjWgQsxFEiOFY5CKcXwYE+GB3ty4/R46prb+HZ/Bd/sL+ebfRV8tusQALEB7sxIDGJ6QhBThgXg6dqdcnBg6U7E1UopT+AbYLFSqgxo78b7pMGE+FlF1U3c9EYGWaW1/HneSG6YFifNmoQQQ1FPcyxa6+XA8mOeu/9n9p3ZyziFEEI4EC+TM2eNDuOs0WForcmpaGDtvnK+2V9x5NpZJ4NiXIwfpyYGMT0hkJRwHwyGgf99vDsF7HygGfg9cCXgAzzYjfdJgwlxXJn5VdyyKJOWNguvXjuBmUnB9g5JCCHspac5VgghhOgWpRTDgjwZFuTJtafE0dJuJjP/MGv3V/DNvnL+77O9/N9ne/Fzd2ZaQhAzEgKZnhBEqI/J3qEf1wkLWK11Q6fNN07i2NJgQvzEsowC7vvfTsJ9Tbx98wSGB3vaOyQhhLCbXuRYIYQQokdcnYxMHRbI1GGB/HHuCCrqW6zTjTtGaD/eZi3Z4oM8OGVYIFOHBTA5PgA/j4FxLfjPFrBKqTo6jZhiHVHVP9xrrb1PcGxpMCGOMFs0j6zYw8trc5k2PJBnr0jD131gfAiEEKK/9UGOFUIIIfpEoKcr56dFcH5aBFpr9pTUse5ABeuzK3h/cyGLNuSjFCSHeTN1WABThwcyMdYfDztdP9vVOrBevTmwNJgQP6htbuP2JVv4am85106N5c/zRg66dt72FBERYe8QhBAnqbc5VgjRPyTHiqFGKUVyuDfJ4d7cNCOeNrOF7YXVrD9QybrsCt5Yn8/La3NxMihSo3yPFLRp0b791oxVaX3iGblKqWlAgtb6NaVUIOCltc61eXTHkZ6erjMyZJDWUeRWNHDjG5vIr2zkwfkpXDFJrmEWQgweSqlMrXV6L48hOVYIIYRDaG4zk5F3mPXZFazPrmR7YTUWDSZnAxNi/ZkyLIBJcQGMjvDBxannA1Zd5dcTjvsqpf4KpANJwGuAC/AmcEqPIxJDwtr95fx68WaMBsWbN05icnyAvUMalJqbmwEwmQbmhfZCiJ8nOVaIgU1yrBA/ZnI2Mi0hkGkJ1itBa5vb2JhTxbrsCr7LruSxlXsBcHM2Mi7Gl4mxAUyM8yct2heTc9+M0HZn4vIFQBqwGUBrXayUkqlP4mdprXltXR4Pf7qbxBAvXr46fVAsmjxQ7dmzB5A16oRwUJJjhRjAJMcK0TVvkzOnJ4dwenIIAJX1LWzKq2JDThUbc6t4avU+tAYXo4GxUT5MjPNnUlwA42L8erwGbXfe1aq11kopDaCU8ujRTxJDQku7mb98sJOlGYWcOSqEJxek2u0CbyGEcACSY4UQQgwaAZ6uzE0JY25KGAA1TW1k5FmL2Q25Vbz4dQ7PrcnGaFCkhHszKT6AibH+TIj1x8fduVs/ozuVxVKl1H8AX6XUTcD1wCs9/aXE4FVe18Iv38wkM/8wt89O4HezExxiMWQhhLAjybFCCNFXtIb2Fmhv6rhvtt63NYG5FSztR2/m9h9vW8zHbHc8py09i0UpUEYwGMHg1OneCZTh6GODExg6bauO/ZxcwOgKTh03o+vR54zO1uM7AB83Z2aPDGH2SOsIbUNLO5n5h9mYW8X3uZW8vi6Pl77JQSkYEerNxFg/0mP9uzxmd9aBfVwpNQeoxXqNzv1a61V98PuIQWRnUQ03LcygurGN568cx9mjw+wdkhBCDHiSY4UQQ5LW0NYITdXQXAOt9dZbS8d9awO01HV6rgFa644+bmv8aaHa1gzmFnv/Zv3n54pbJxdwMoGzGzh7dNy7gYvHST7nbn3sZOrTYtnD1YkZiUHMSAwCrE2hthZU831OFRvzKlmaUcgb3+V3eYxuze3sSKarAJRSRqXUlVrrxb2MXwwSH28r5u53txHg4cq7t05hVLiPvUMSQgiHITlWCOHQ2lugoQIayq33jRXQdLjjVg3N1db7psNHHzdXW0dET0QZwdUTXLw67j3AxRPc/MDZZC2unFw77o/ZPvZ1oysYnY4Z+TSCwfmY7WNeVz3spKst1lvnkV1tPmakt9O2Nv94dNjcai3Mza3Wv/GR+xZob+24bzn+a+3N0NoIDZXQ1mAdgW5rtD5naTu530MZwdXLenPx7Hjs2fHYu9Pjjtd++G/1o/07Hrt4/KQYNjkbmRwf0NHsNYE2s4U9JbWMffTnQ/rZAlYp5Q38GogAPsKaXH8N3A1sBSS5DnEWi+bJVft4ds0B0mP8ePEX4wn0dLV3WENOVFSUvUMQQpwkybFCOIYhm2PbmqGuBOpKrfcN5Z1uFT9+3FL788dx9QE3X+vN5Ave4Ucfu/laC1GTz08L1B8KHidXh5kq6zDMbdZitnNR+8PjI7cm6/OdR8Zb6jpGweuguRZqi62PW+qtz3dnqrUygsnb+t/cteP+h1vHtrPJmzGmrgfDuhqBXQQcBr4DbsSaVF2A+Vrrrd39G4nBqb6lnd+/s5VVuw9xaXoUD52f0qu1nkTPBQYG2jsEIcTJkxwrhAMYdDlWa2isgtpCqC3pKFJLrMXIDwVrbTE0Vf30vcoA7oHg0XELTwOPoI7toKM394Cjhamhb5ZNEX3I6AzGjqKxr/wwJfyHKeAttZ2K3o77ljrr88011gL4h8dVudb7ltquT4Z00lUBG6+1Hg2glHoFqACitdZ1vf8thSM7WNnIjQs3kV3ewAPnJnPN1FiUnB2zm8bGRgDc3WWpIiEciORYIRyAw+VYra2jotUHoTofago6Hne6tTUe8yYFnsHgFQa+0RA1yfrYO8x67xUGniHWEVMpSMXxKNUxeu4BhPT8OBbz0UL3bzE/u1tXBeyRCdJaa7NSKlcSq1i7v5zfLNmC/n/27juuyvP+//jrAgRFAQHFgQIO3KLEERNNYmrSjCYxs7GZ3ywzmr1N2yTtN02a0TR7NcMm/TVpRvvNaGp20owmilFxLwQFBwiKAxdw/f64DlNUzmdNzAAAIABJREFURA73Ge/n43E/zjn3fYOfWzh8zue+loVXLx3L+P4hdmcyCC1d6haM1hp1IkFFOVYkCARkjq3aA5sKoGwllK6EsjzYlF9XoFbuaHh++86uME3uD/0mQefeEJ/quvPWFKeRWvJQAkBEZF2X8/3Y32/rCGNMTTuuATr4XhvAWmvjWydSCQbWWp7/Tx4PzVjCgG5xPH/hKNKTtVyhiEgLKceKyL5VVboW1LI8X5Far1jdvNpN+FMjJh4SM6DrAMg83hWrndMgobcrVluzq6hIANhnAWutVR+BULNnR8PZ4HZudn3QawZrV+7wDeKut1XvobKyktw1ZaSXV/DPpBiGdu1E1Azr/nha62Zpi2zXaOa2eq9rpuVuF+ubkjt27+fRnXyD+hPca3VJFpEQphwrIoCbMbZsJZQsgZKldY+lKxrO0hvdCZL6Qs+RMOwsSO4HSf3cvo5d9LlJwor6CwS7qj1ufMOWtW7g/bYNdY/bNsDWDW4g/o7NzVsby0S4AtK3ftQe2rF+6y7iKiEjvgOJnWIwW7e480yE+4PZePHnqj31Xu9xM9ntqQBs864pIso3I1nnupnJaorbDom+CQS61k0i0LGr2xcVfUj/lSIiIiJ+UbkbNi6D4sW+ItVXqJbl1WtNNZCYDl0HuZbULgNckZrcz33WUZEqAqiADQ47Nrs/eqUr3JiHmoH5mwpg69q9p62OjIZO3d2A/OR+EDum0XTl9aYzr2nxrGkhjWxX+wfy8yUbuOGNuURFGJ688DAyMw9hvKu1vkWmd/gWoN5Rty7V7go3/fbO8roFrXeW+1qIfc/LC33Hy1xh3JSYhIZFbceujSYh6A5xPSE2SUlARERE/GP7Rlg/HzYshA0LYP0CV7DWrL9pIt3ns5RBMGSyK1i7DoQume7zmIjslwrYQFJR5v7glSyFjUt9j8tcS2ot44qxxHTImODGOCSmu8H4cd19s8QlHlKBVl1teeqLFfzp02UM6RHPcxeMonfSIc6+Z0xdV+LYpJZ/H2tdIVuzUHbtemS+5zX7ylbB6v9CRene36OmwI+vKWrrzbKXkAoJvdz/Z2S7lsfZhtLT9z1Lm4iIiLTcfnNsdRVsXO4rUufXFavb1ted06k7dB8G/SdB9+GQMsRNpqReYyItpgLWC9a6br7r5sH6XPe4LhfKV9edExPvuo70P849dh0IyZluMH5UjN9C27JzDzf/fR6fLt7Amdmp3H/mcNq3C6ChWsbUm52s/4HPr9xV1626ppv11nrrnm1YBCs+dy3ADf8hX0Hby/2fJ/RykyEk1DzvdcAZ0tpKUtIh3BAQERGRfarNsdXVrrvv2h9h7Ry3rZtXtyRNRDvXktrvWOg2zBWt3Ya5XmEi0qpUwLaFyt2uUF39Paz5AdbMrHd3zrg7cb3HwNjLoXsWpAx2Lalt3M112YatXPXX2RSUVoTO+q5RMXWz8e3Prq2uuC0vdGOKywvdtnk1FP0Ii99vOJkCuJsMNcVs5zTonO5mAUzMcK3ibTTr39atrviOi4trk39PREJXRUUFc+bMabAvJSWF1NRUqqqqyM3N3etrunfvTo8ePdi9ezcLFy7c63hqaiopKSns3LmTxYsX73W8d+/edOnShYqKitolS+pLT08nKSmJrVu3smLFir2O9+3bl4SEBMrLy8nLy9vreP/+/YmLi6OsrIyCgoK9jg8cOJDY2Fg2btzImjVr9jo+ePBg2rdvT3FxMUVFRXsdHzp0KNHR0axbt47169fvdTwrK4vIyEiKioooLi7e63jN8iyrV6+mtLRhr6HIyEiysrIAyM/PZ9OmTQ2Ot2vXjmHDhgGQl5dHeXl5g+MxMTEMGTIEgOXLl7Nt27YGx2NjYxk4cCDgloupWfO0RqdOncjMzARg0aJF7NrVcC6NhIQE+vbtC8CCBQvYs2dPg+OJiYlkZGQAkJubS1VVVYPjycnJpKW5/Nz49w48/t2r3El6ZAntShdTsWkDa2MywfqGMJne0GMQfVOPIaFbBuXxg8jbbBt+biuH/l1jiAP97ul3b6/j+rvXvN+9fVEB6w+7tkHBd1DwrStW1/7oxn+CK276HgOpo6DHCHd3LqaTp+EC/HNOIXf9YwEdY6L4f5cfzri+yV6H1LZi4tzWJbPp49XVsL24YYG7uabQXe1uTOxs+MebDol7F7U1zxN6t1oX5Zo/bAG1Rp2IiEiw2LnFzcGxa4u7ob17mxuvWvAWK9LPpSq+N5Htot1MwNGd3AoKGOh7OiQkQHk5lO9dRIiIfxhrmzkzbIAYPXq0zcnJ8TqMhqr2QNFsyPsS8r6CwpluoqGIdm66896H+7axbsxlANm5p4rfvr+I12euZmyfJJ76RTYp8e29Dis47djkm2SrwC0ovinfva5ZXLy63t1BEwHxvXxFbTp0zqgrbpP6QGxys1vga+4cqoAVaXvGmNnW2tFex9FaAjLHirSm6mo3v0jhTNfIsGamm3cEXG5OGQKph0HPbOiZzZz1rmVVOVakbe0vv6oFtqU2r4FlM2D5J66ldfc2wLg/eEdeB30nuqI1gGeTKyjdzjX/70cWrt3CVcf049afDiAqMsLrsIJXh0S39Ry597HqKjfmtn5RuynfFbvLP2k0UReue3JSH7e+W+PNg+7lIiIiQWnnFijKqStWi3Lqekx1SIReY2D4OW4oV+oo1xurvg17dy8VEW8FXQHr2ficpCQq8nNYWrDWzRa8Z7s7mPBT0rOzSUofytauo1hR6OvnXQ6ULwECs5/6pordrCzZzulpcPNxhzFpSA+NkfDnGInKKhbmlQAdgSGQOAQS6/3ubd3E4sWLfEsN7axdcqj3uhl0WfQYFe27s3Tg1cBsN/2+b53e9Ij1EDOYqsj2zMn5HiIbTvAViL979Wl8Tgag8TnB/LsnIgFm+0bfMC7fUK4NC3zLDRo3x8jQM6DXWNcrLrm/bgiLBKGgK2DblLVuLdIf/gWLpkN1NAy8xrWOJfaBDkmuhTU9HZKSYOtWYO8PQoHEAmvKKlhXvpOOMZFkpsQxZmCK12FJzTq87WKhfqP96BMh8RXYkAf5a6FyR916unsqIO996B0FkR2gagcQAe3aQ1QH97hoAXTtCTE9cT99JWoREQkh5UV1xWrBd3XdgaM6QK/RcPRtkDbOta620eSKIuJfGgPbWNUeWPUVLPwnLP7AFbAx8W45m4EnucdDWcfUQ+vLd3Lt334kp2ATF45L59enDCYmKoCWyJGDV11F+bqVsGUtCdvz3Pq3ZfUeK3fUnRsR5SaVaqpbcuc0rUkn0gIaAyvShqx1ua1+C+tmXw+OmHhXqKYfCenjocfIVslrNb13EhJU/Iq0JY2BPZDqKlj1H1j4D7dcyo5NEB0Hg37mupr0O9ava6+2hU8XbeC2t+exq7Kax6eMZPLIVK9DktYQEUlC6gBIHQBMbHisZr3hsry9t9XfN1z71kS45YCaKm4TMwJ6LLdIuDLGnAg8DkQCL1pr/9Do+M3A5UAlUAJcaq3du7+2SCArL3INC3lfuc9qW9e6/bHJrlgdd7V77DYMIlr/prwKV5HAE94FbMlSmPs3yH3T/UGM7gQDT/YVrT9xXTCD3M49Vfzh30uY/l0+Q3rE8+R52fTr6v2yPdJ69nl32BiI7+G2jPENj1nrxgnVFLSbVtU9X/hPdxOnvrievoK2/sRSfVxX+vbxfrw6EWmKMSYSeBo4HigEZhlj3rPWLqp32hxgtLW2whhzNfAQcG7bRytyELaXQv5/XLGa9xWUrXT7Y5Ohz9GQcRRkTIAuA9pk/KpaYEUCT/gVsBVlMP9tmPe6W5/VRLpuwSfeDwNODKmWphXFW7n2b3NYsn4rl47vwx0nDVSX4RBUM0HOQU3xbwx06uq2tMP3Pl5R5itqV9XrlpwHyz5y6+HW17FroxbbPnUFbpB2txcJAmOBFdbaPABjzBvAZKC2gLXWflHv/O+BC9o0QpHm2LUVCv7rWllXfQXr57v90XHu5uuYy13hmjIEItp+pYQW5VgR8avwKGCrq2HVlzB7Oiz50K3H2W04nHC/mzq9U2hNYmSt5e+z1nDv+wuJjY7i5f8ZzU8GdfM6LAkmsUluSx2197FdW11RW7/VtmyVu1s+7/WG57bv3LDFtn6h27GrZn8UablUoP70zIVAE3ejal0G/LupA8aYqcBUoHbmaxG/qdoDa37wdQn+CopmQ3Wlm0U/7XD4ya+hz0S3LGFkeHxMFZGD49e/DJ6Pz9lWAnP/CrP/4j5sd0iCsVNh5C+g+/BW+2cCSfmOPdz1j/n8a/46xvdP5k8/H0lKfPB3hZYAEhMHPbLc1tieHW592/qttmV5UDjLjTG31XXnRneq64bceNxtXA9P7rSLBJGm7v40OSujMeYCYDRwTFPHrbUvAC+Am8SptQIUqVVeCCs+deue533l5mAwEdDzMBh/g2th7X14SPWCExH/8VsB69n4HGsh/2vIecVNyFS9x81Gd+yvYPCpITGudV9+yCvl5jfnsWHLTu44cRBXHt2XiAi1cEkbatfBrbOXMnjvY5W7oXzN3hNKFS+Cpf9279UaUe3d5FFNtd7G99JdeRGXV3vXe90LWNv4JGPMccCvgGOstbsaHxfxi8pdsPq/vqL1UyjxrTUd3wuGnwX9j4c+R2lZGxFpEX9+Cmzb8Tm7troJmWb+GUqXu66LY6+AUf8DXQe2+NsGg517qvjjx0t58ZtVpCXF8tZVR5Cdluh1WCINRUVDcj+3NVZd5e7QNyhufa24Kz93a9/WiIhyy/50TndFbmIGJPqed06HDonqmizhYBaQaYzpAxQBU4Dz6p9gjMkGngdOtNYG9iLlEvw2FcCKT2DFZ66Vdc92iIx2MwRnX+DmG+k6UH+fReSQ+bOAbZvxOZvy4YcXYM5rsGsLpI6GM56HIZPDoivKgqJybn5zLss2bOP8w9O46+TBdIxR61Q46d+/v9chHLqISF8Rmu6Wraqvuhq2NVoOaFO+2xa9CzvKGp4fkwCJaXUFbWKG66acmA4JvUO6F4aED2ttpTHmWuAj3DCdl621C40xvwNyrLXvAQ8DnYC3jCsaVltrT/MsaAkte3a6dVhrugaXLnf7O6e7oVr9j3ezBccE98oHIZFjRUKMPysd/43Psdb90fz+WVj6oRtHMeR0txZYr5BZT36/Kquqee6rlTz26XKSOkbzyiVjOHZgaE1GJc0TFxfndQj+FREB8T3dljFh7+M7t7iF7DfluxaATfnudclSWPYxVNXvNWnc+NrGrbY1rzt119hbCRrW2g+BDxvtu7ve8+PaPCgJbaUrXQvrik9g1ddQucMN+ciYAGMuc0Vrcr+QamUN+RwrEoT8WcD6Z3xORRk8dxRsmO8mZZpwk5tiPb5na8Ud8FZt3M7Nb85lzurN/CyrB/dNHkZix2ivwxKPlJW5FsikpDBdsqZ9vJuUramJ2aqrYduGuqK2fpG76j8w7w0a3FeLjHGFbE1R2zkNOveGhDT3vGOXkPpgJiKyX7srIP8bX9fgT10PGICkfjDqYtctOH08RMd6G6cfhX2OFQlA/ixg/TM+Z3MB2G5w6hOQ9fOw6CZco7Kqmle+zeePnywlOjKCJ36RzWkjwqdwl6YVFLiJu5VcmxARAfE93JZ+xN7HK3fB5jW+Aje/YYG7ZibsKm94flQHSOjlK2p7NyxuO/f2zZ6stZZFJEhZC6UrXJfgFZ9A/reuF0tUBzdT8LhroP8kN6FemFCOFQk8fitg/TY+J7k/XP1d2LWCLF63hTveySW3sJzjBnfjvtOH0T1BY/lEDklUDHTp77am7NjsZk7evMb3uNpt5WtgXS5UbGx4fkSU6w2S4CtoO6fVK3R7u+I3Ksb/1yUi0ly7trnVG2qK1s2r3f4uA10Pt8zjIO1IzR8gIgHDr7P9+GV8TkxcWBWvuyqrePrzFTzz5UoSOrTjqfOy+dnwHpgw+j8Q8UyHzm7b17rRuyvc7MmbV0P56nqF7hrXRXnLWhoO/TfQqVvD4jahl2+Mb6p7HpscVn/jRKSNWQslS3wF66duuZuq3W5t7j7HwPgbXdfgxHSvIxURaZKmqw1gswvKuOOd+awo3saZ2an85pQhGusqEkiiY6HrALc1pXI3bClq1Iq7xg2FKJoNi95ruP4tuHG48T19hW0qJKT6CtxevuepWipIRA7Ozi2w6itf0foZbCl0+1OGwOFXuYI17Qi33JmISIBTARuAynfs4dGPl/Lq9wX0TOjA9EvGMFEzDIsEn6hoSOrjtqZUV8P2EvdhsrzIFbtbiuqeF3zrWnFtVcOvaxfbsNW2wXNfwds+QUWuSLiyFjYs8C1x8yms+R6qKyEmHvoeA8fc7orWhFSvIxUROWgqYAOItZZ//FjEA/9eTNn23Vx8RAa3njCQTlrXVfZj4MCBXocgLRURAXHd3JY6qulzqqvcTMp7FbiFrrhd+YVbJ9dWN/y66E6ukI3rDnE1j74JreJ6uNeduqvFRSRU7NgMeV+4onXFZ7B1ndvffTgceZ1b4qb3WIhs522cQUY5ViTwqDIKEEvXb+U3/7eAmflljOzdmemXjGVYaoLXYUkQiI0N3eULBDercc06uIxp+pyqSlfE1hS2tcXuWti6Hgq+cx9mG3dXBojtUlfQ1i9u43rUbR27aHZlkUBTXQ3rc93ES8s/hcJZrrdG+wTo9xNXsPaf5N7P0mLKsSKBRwWsx7btquSxT5bxynf5xLWP4g9nDufno3sTEaGuf9I8Gze6mXC7dOnicSTimcgo1304oRdweNPnVFfDjjJXyG5dX1fc1rzeutZ9GN5WTMOJpwAT6StquzcscDt1820p7rFjVxeLiPhHRRms/LyulXW7bwXCHiPhqJtd0Zo6Su/DVqQcKxJ49BfOI1XVljdz1vDHj5excdsufjG2N7efMEiTNMlBW7NmDaDkKgcQEeFaUjt22fesyuBac7cXw5Z1vuJ2Xb0idx2U5UH+N7BzcxNfbNwsyvWL2k5d9y50O3XTRFQizVFV6SZ8W/EprPwMin4ELHRIcq2smcdDv0nufSZ+oRwrEnhUwHrgm+Ubue9fi1iyfiuj0hN58eLRjOzd2euwRERcy01tl+X92LPDtdZuK3ZjdLdtqHu+vcQ9rl4JWzdA1a69vz6ina+gTakrbjumNCp0U1zBHROvYlfCR3mRK1ZXfAp5X8LOcjAR0GsMTJzmJl/qOVLd+kUkbKmAbUMrirdy/4dL+HxJMb2TOvDM+Ydx0rDuWtNVRIJPuw5uncgDrRVpLeza0nShW/O4pQjWznGFb+PJqMAVux27Qsdk9xjbxffa16Jcu8+3RXdSwSvBY89OWP2d6xK84jMoWez2x/WEwae5cax9J7peCyIiogK2Lawr38ETn63gzZw1xLaL5K6TB3HxkRnEROnuqYiEOGPcpDLtE6BL5v7Pra6CitKGBW7FRthes5W416UrYHsp7Nne9PeJau8rapMbFrr7KnyjNUmLtCFroXRlXbfgVV9D5Q6IjIb0I2Hkea6VNWWwbsSIiDRBBawflWzdxbNfruSvPxRgreWCw9O4flImyZ1ivA5NRCTwRETWdStm2IHP313hK3BLXEG7vaSuyK1f9JYscY+VO5v+PlEdXLEbm+TbkhttSW7MYf197dq36qVLiNtWAqu+cl2CV30Fm1e7/Un94LCLXMGaMR6iO3oapohIMFAB6webK3bz/H/ymP5tPrurqjnrsFSun5RJr0Td5ZfWN3jwYK9DEPFGdCxEp0HntAOfay3s3u4rcjfWK3w3ulbfHZvcY0WpKy4qSt3Yw31p19EVsiJN2bXNLV9VU7BuWOD2xyRAn6PgyOtd0ZrUx9Mw5cCUY0UCjwrYVlS6bRfTv8tn+nf5bNtVyalZPbnxuEz6du3kdWgSwtq3V0uQyAEZAzGd3NbcoqGqsmFhW1HqliKqKHXLmVSUAgv8GrYEiao9UJhT18paOAuqKyEyBtIOh0l3Q5+JmnwpCCnHigQeFbCtoGjzDv78nzzemLWaXZXVnDCkOzcen8mg7vFehyZhoLjYrQOYkpLicSQiISYyyrcM0P6WKHm+zcKRAFJVCevmQcG3kP+1a23dvQ0wrkg98jrocwykjXMTnknQUo4VCTwqYA/BiuJtPPfVSv5vThEAp2enctUxfemfEudxZBJOiorc75+Sq4iIn1TucmuwFnzrtjUzfQUrkNwfRkxxBWvGBDdmWkKGcqxI4FEBe5Cqqy3/WV7Cq/8t4IulxcRERXDBuHSuOLovqZ11l1VERCTo7a6AohzI9xWshbPqJgFLGeIK1vTxbovr5m2sIiJhRgVsM23duYe3Zxfy2n8LyNu4nS6dYrj+J5lcdES6ZhUWEREJVtZCeaErUgtnudbVdfOgeg+YCOg+HEZf6orVtCPcesQiIuIZFbAHsHBtOX+ftYZ3ZheyfXcV2WmdeXzKSE4a1oPoqAivwxMREZGDsWenK1ALZ7pitXAWbF3njkW1h56HwRHXQPoENwFT+wRv4xURkQZUwDahbPtu3p1bxFs5hSxat4XoyAhOGdGD/zkyg6xenb0OT0RERJqjqhI2LoW1c2HdXDeOtaZ1FdwSTOnjofdY6DXGtbZGtvM2ZhER2S8VsD67K6v5enkJb88u5NPFG9hTZRmemsDvJg/ltBE96Rwb7XWIIk0aOnSo1yGIiHivqhJKlrhCtaZgXb8AKne44+06Qo8RrnW1l69g1fhVOQDlWJHAE9YF7O7Kar5ZUcK/ctfzyaL1bNlZSXLHaC46IoNzRvfSMjgSFKKjdXNFRMLMthIoXggbFtV7XFQ30VJ0J+ieBaMvgR4j3dI2yf21BqscNOVYkcATdgXsjt1VfLdyIx/Oryta49pHcfyQbvxseA+Oyuyqsa0SVNatc2O3evTo4XEkIiKtbMdmKF3pitTixbBhoStUt5fUnRPbBboNgdGXuUK1R02xqlwuh045ViTwhEUBu2rjdr5YUsyXy0r4Pq+U3ZXVxLWP4qdDuvOzrO6M79+FmCjdlZXgtH79ekDJVUSCVOUuKFsFpSt823JXtJauaFiotouFroNgwAmQMhRSBkO3odBJ63OK/yjHigSekCxgS7buYuaqMn5YVcp/lpWQX1oBQN+uHblwXDoTB3ZlbJ8kFa0iIiL+Vl3lZvndvAY2r/ZtBe5xUz6UrwFbXXd+xxTXgjrgROiS6Z53HQSJfdSqKiIiwV/AWmsp2ryD2QWb+D7PFa15JdsBiI2O5PA+SVw6oQ8TB6SQlhzrcbQiIiIhZM9O2LYettbbal5vKXJFankhVFc2/LpO3SChN6SOghFTXJGa3M89atkaERHZj6ArYCurLJ8u2kBu4WZyi8qZX1hO6fbdAMTFRDGmTxI/H92bw/skMSw1gXaRulsrIiKhxxhzIvA4EAm8aK39Q6PjMcCrwCigFDjXWpu/329qq1x33h1lUOHbdpRBRanvdal7va3YFak7N+/9PSKioFN3iO/hCtShZ7jlajqnQed0SOgF7Tq0yv+BiIiEn6ArYBev38Llr+YQYSAzJY6fDEohq1cC2WmJDO4RT2SE8TpEERERvzLGRAJPA8cDhcAsY8x71tpF9U67DNhkre1vjJkCPAicu99vvC4XnhjZ1L8IHRIhNgk6JLmW0owJENfdFatxPdySNHE93HF19RURET/xawHrj7vDPRLa8/ZVRzCkZzyx0UFXf4u0uqysLK9DEJG2NxZYYa3NAzDGvAFMBuoXsJOBe33P3waeMsYYa63d53eNT4XJ90NssitEY5Nd0do+QUvQSFhSjhUJPH6rAP11d7hLpxhGZyT5K2yRoBMZqQ+VImEoFVhT73UhcPi+zrHWVhpjyoFkYGP9k4wxU4GpAGlpaZB9gb9iFgk6yrEigceffXxq7w5ba3cDNXeH65sM/MX3/G1gkjFGfYBFDkJRURFFRUVehyEibaupXNm4ZbU552CtfcFaO9paO7pr166tEpxIqFCOFQk8/ixgm7o7nLqvc6y1lUDN3WERaabi4mKKi4u9DkNE2lYh0Lve617A2n2dY4yJAhKAsjaJTiREKMeKBB5/FrCtdnfYGDPVGJNjjMkpKSlp4ktERETCyiwg0xjTxxgTDUwB3mt0znvAxb7nZwOf73f8q4iISBDwZwHbaneH1b1JRESkjq/X0rXAR8Bi4E1r7UJjzO+MMaf5TnsJSDbGrABuBu70JloREZHW489pfGvvDgNFuLvD5zU6p+bu8H/R3WEREZFms9Z+CHzYaN/d9Z7vBM5p67hERET8yW8FrG/Gw5q7w5HAyzV3h4Eca+17uLvDr/nuDpfhilwRERERERGRvZhga/A0xpQABV7H0Qa60GipgzCgaw4PuubwEC7XnG6tDZmxLcqxIU3XHPrC7XpB1xzK9plfg66ADRfGmBxr7Wiv42hLuubwoGsOD+F4zRI8wvH3U9cc+sLtekHXHK78OYmTiIiIiIiISKtRASsiIiIiIiJBQQVs4HrB6wA8oGsOD7rm8BCO1yzBIxx/P3XNoS/crhd0zWFJY2BFREREREQkKKgFVkRERERERIKCClgPGWMijTFzjDEf+F73Mcb8YIxZboz5uzEm2rc/xvd6he94hpdxt5QxJt8YM98YM9cYk+Pbl2SM+cR3zZ8YYxJ9+40x5gnfNecaYw7zNvqWMcZ0Nsa8bYxZYoxZbIw5IpSv2Rgz0Pfzrdm2GGNuDOVrBjDG3GSMWWiMWWCMed0Y0z4M3s83+K53oTHmRt++kP45S3BRjg3996RyrHJsKL6flV8PTAWst24AFtd7/SDwJ2ttJrAJuMy3/zJgk7W2P/An33nB6lhr7ch603/fCXzmu+bPfK8BTgIyfdtU4Nk2j7R1PA7MsNYOAkbgft4he83W2qW+n+9IYBRQAfyTEL5mY0wqcD0w2lo7DIgEphDC72djzDDgCmAs7vf6FGMqJ9dLAAAgAElEQVRMJiH8c5agpBwb+u9J5Vjl2JB6Pyu/NpO1VpsHG9AL9wv4E+ADwOAWJY7yHT8C+Mj3/CPgCN/zKN95xutraME15wNdGu1bCvTwPe8BLPU9fx74RVPnBcsGxAOrGv+sQvmaG13nT4FvQ/2agVRgDZDke39+AJwQyu9n4BzgxXqvfwPcHso/Z23BtSnH1u4L2fekcqxybCi+n5Vfm7epBdY7j+F+Iat9r5OBzdbaSt/rQtybFurevPiOl/vODzYW+NgYM9sYM9W3r5u1dh2A7zHFt7/2mn3q/38Ei75ACfCKrxvbi8aYjoT2Ndc3BXjd9zxkr9laWwQ8AqwG1uHen7MJ7ffzAuBoY0yyMSYWOBnoTQj/nCXoKMc6ofyeVI5Vjg3F97PyazOogPWAMeYUoNhaO7v+7iZOtc04FkzGW2sPw3V3+KUx5uj9nBsK1xwFHAY8a63NBrZT1+WjKaFwzQD4xqKcBrx1oFOb2BdU1+wbhzIZ6AP0BDrifscbC5n3s7V2Ma5b1ifADGAeULmfLwn6a5bgoRyrHLsPoXDNgHIsIZxjlV+bRwWsN8YDpxlj8oE3cF2cHgM6G2OifOf0Atb6nhfi7r7gO54AlLVlwK3BWrvW91iMG7MxFthgjOkB4Hss9p1ee80+9f8/gkUhUGit/cH3+m1csg3la65xEvCjtXaD73UoX/NxwCprbYm1dg/wD+BIQv/9/JK19jBr7dG4+JcT2j9nCR7KscqxoXrNNZRjQ/j9rPx6YCpgPWCtnWat7WWtzcB1AfncWns+8AVwtu+0i4F3fc/f873Gd/xz6+voHiyMMR2NMXE1z3FjNxbQ8NoaX/NFvtnVxgHlNV0ngoW1dj2wxhgz0LdrErCIEL7men5BXdcmCO1rXg2MM8bEGmMMdT/nkH0/AxhjUnyPacCZuJ93KP+cJUgoxyrHEqLXXI9ybGi/n5VfD8TrQbjhvgETgQ98z/sCM4EVuG4hMb797X2vV/iO9/U67hZcZ19cN4h5wELgV779ybiJNpb7HpN8+w3wNLASmI+bfc7z62jBdY8EcoBc4P+AxDC45ligFEioty/Ur/m3wBLcB8bXgJhQfj/7ruNr3IeIecCkcPg5awu+TTk2tN+TyrG1+0L9msMqxyq/HngzvosXERERERERCWjqQiwiIiIiIiJBQQWsiIiIiIiIBAUVsCIiIiIiIhIUVMCKiIiIiIhIUFABKyIiIiIiIkFBBayIiIiIiIgEBRWwIiIiIiIiEhRUwIqIiIiIiEhQUAErIiIiIiIiQUEFrIiIiIiIiAQFFbAiIiIiIiISFKK8DuBgdenSxWZkZHgdhkjAsNYCYIzxOBKR8DN79uyN1tquXsfRWpRjRRpSjhXxxv7ya9AVsBkZGeTk5HgdhoiICMaYAq9jaE3KsSIiEgj2l1/VhVgkyBUXF1NcXOx1GCIiIiFHOVYk8ARdC6yINFRUVARASkqKx5GIiIiEFuVYkcCjFlgREREREREJCn4rYI0xLxtjio0xC/Zx3BhjnjDGrDDG5BpjDvNXLCIiIqFEOVZERMKVP1tgpwMn7uf4SUCmb5sKPOvHWERERELJdJRjRUQkDPmtgLXW/gco288pk4FXrfM90NkY08Nf8YiIiIQK5VgREQlXXk7ilAqsqfe60LdvnTfhiASnoUOHeh2CiAQe5ViRVqAcKxJ4vJzEqakVoW2TJxoz1RiTY4zJKSkp8XNYIsElOjqa6Ohor8MQkcCiHCvSCpRjRQKPlwVsIdC73utewNqmTrTWvmCtHW2tHd21a9c2CU4kWKxbt45169SoIiINKMeKtALlWJHA42UB+x5wkW+mxHFAubVWfyFEDtL69etZv36912GISGBRjhVpBcqxIoHHb2NgjTGvAxOBLsaYQuAeoB2AtfY54EPgZGAFUAFc4q9YREREQolyrIiIhCu/FbDW2l8c4LgFfumvf19ERCRUKceKiEi48rILsYiIiIiIiEizqYAVERERERGRoODlOrAi0gqysrK8DkFERCQkKceKBB4VsCJBLjIy0usQREREQpJyrEjgURdikSBXVFREUVGR12GIiIiEHOVYkcCjAlYkyBUXF1NcXOx1GCIiIiFHOVYk8KiAFRERERERkaCgAlZERERERESCggpYERERERERCQoqYEVERERERCQoaBkdkSCXnZ3tdQgiIiIhSTlWJPAEXQtsZWWl1yGIiIiIiIiIB4KugJ0/fz4PPvggO3fu9DoUkYCwevVqVq9e7XUYIiIiIUc5ViTwBF0BGxcXx5133smgQYP4+9//jrXW65BEPFVaWkppaanXYYiIiIQc5ViRwBN0BWz//v359NNP6dy5M1OmTGH8+PH88MMPXoclIiIiIiIifhZ0BSzApEmTmD17Ni+99BKrVq1i3LhxXHDBBaxfv97r0ERERERERMRPgrKABYiMjOTSSy9l+fLl/OpXv+Ktt95i4MCBPPnkk5roSUREREREJAQFbQFbo1OnTtx3330sWLCAcePGcf311zN27Fi+//57r0MTaRORkZFERkZ6HYaIiEjIUY4VCTxBX8DWyMzMZMaMGbz11lsUFxdzxBFHMHXqVA28l5CXlZVFVlaW12GIiIiEHOVYkcATMgUsgDGGs88+m8WLF3PLLbfw8ssvM3jwYN58803NViwiIiIiIhLkQqqArREXF8cjjzzCjz/+SFpaGueeey5nnnkm69at8zo0kVaXn59Pfn6+12GIiIiEHOVYkcATkgVsjaysLL7//nseeughZsyYweDBg3n55ZfVGishZdOmTWzatMnrMEREREKOcqxI4AnpAhYgKiqK2267jdzcXEaMGMFll13GT3/6U1atWuV1aCIiIiIiInIQQr6ArZGZmckXX3zBs88+yw8//MCwYcN45pln1BorIiIiIiISJPxawBpjTjTGLDXGrDDG3NnE8TRjzBfGmDnGmFxjzMn+jCciIoKrrrqKhQsXctRRR/HLX/6SE088kaKiIn/+syIiIq0u0HKsiIhIW/BbAWuMiQSeBk4ChgC/MMYMaXTar4E3rbXZwBTgGX/FU1/v3r3597//zTPPPMM333zDsGHDeP3119vinxZpde3ataNdu3ZehyEibSiQc6xIKFGOFQk8/myBHQussNbmWWt3A28AkxudY4F43/MEYK0f42nAGMPVV1/N3LlzGTRoEOeddx5TpkyhrKysrUIQaRXDhg1j2LBhXochIm0roHOsSKhQjhUJPP4sYFOBNfVeF/r21XcvcIExphD4ELjOj/E0KTMzk6+//prf//73vPPOOwwbNowZM2a0dRgiIiIHIyhyrIiISGvzZwFrmtjXeMakXwDTrbW9gJOB14wxe8VkjJlqjMkxxuSUlJS0eqBRUVHcddddzJw5k6SkJE466SSuvvpqKioqWv3fEmlteXl55OXleR2GiLStoMmxIsFMOVYk8PizgC0Eetd73Yu9uy9dBrwJYK39L9Ae6NL4G1lrX7DWjrbWju7ataufwoXs7GxycnK45ZZbeO655xg9ejTz5s3z278n0hrKy8spLy/3OgwRaVtBl2NFgpFyrEjg8WcBOwvINMb0McZE4yaQeK/ROauBSQDGmMG45Orp7d/27dvzyCOP8PHHH7Np0yYOP/xwnnjiCS23IyIigSQoc6yIiMih8lsBa62tBK4FPgIW42ZCXGiM+Z0x5jTfabcAVxhj5gGvA/9jA6RSPP7448nNzeW4447jhhtu4NRTT0Vdq0REJBAEe44VERFpqSh/fnNr7Ye4iSPq77u73vNFwHh/xnAounbtyvvvv89TTz3FbbfdRlZWFq+++irHH3+816GJiEiYC/YcKyIi0hL+7EIcEowxXHfddbUTPP30pz/l9ttvZ/fu3V6HJgJATEwMMTExXochIiIScpRjRQKPCthmysrKYtasWVx11VU8/PDDHHnkkSxfvtzrsEQYMmQIQ4YM8ToMERGRkKMcKxJ4VMAehNjYWJ599ln++c9/smrVKrKzs3nttde8DktERERERCQsqIBtgdNPP5158+YxatQoLrroIi699FK2b9/udVgSppYvX67eACIiIn6gHCsSeFTAtlCvXr347LPPuPvuu5k+fTpjxoxhwYIFXoclYWjbtm1s27bN6zBERERCjnKsSOBRAXsIoqKi+O1vf8snn3xCWVkZY8aM4cUXX9SasSIiIiIiIn6gArYVTJo0iXnz5jFhwgSuuOIKLrjgArZu3ep1WCIiIiIiIiFFBWwr6datGzNmzOC+++7jjTfe4LDDDmPOnDlehyUiIiIiIhIyVMC2osjISH71q1/x5ZdfsmPHDsaNG8fTTz+tLsXiV7GxscTGxnodhoiISMhRjhUJPCpg/eCoo45i7ty5HHfccVx77bWcc845bN682euwJEQNHDiQgQMHeh2GiIhIyFGOFQk8KmD9pEuXLrz//vs8/PDDvPvuu2RnZzNz5kyvwxIREREREQlaUc05yRgTA5wFZNT/Gmvt7/wTVmiIiIjg1ltvZcKECUyZMoXx48fz4IMPctNNN2GM8To8CRFLly4F0B1ikSCk/CoS2JRjRQJPc1tg3wUmA5XA9nqbNMO4ceOYM2cOp5xyCrfccgunnXYapaWlXoclIaKiooKKigqvwxCRllF+FQlgyrEigadZLbBAL2vtiX6NJMQlJibyj3/8g6eeeopbb72VkSNH8vrrrzNhwgSvQxMREe8ov4qIiByE5rbAfmeMGe7XSMKAMYbrrruO7777jpiYGCZOnMgDDzxAdXW116GJiIg3lF9FREQOQnML2AnAbGPMUmNMrjFmvjEm15+BhbJRo0bx448/cvbZZ3PXXXdxwgknsH79eq/DEhGRtqf8KiIichCa24X4JL9GEYbi4+N5/fXXOe6447j++usZMWIEr776KieccILXoUmQ6dSpk9chiEjLKb+KBDDlWJHA06wWWGttAdAZONW3dfbtk0NgjOHyyy8nJyeHlJQUTjzxRG6//XZ2797tdWgSRDIzM8nMzPQ6DBFpAeVXkcCmHCsSeJpVwBpjbgD+H5Di2/5qjLnOn4GFkyFDhjBz5kyuuuoqHn74YY466ijy8vK8DktERPxM+VVEROTgNHcM7GXA4dbau621dwPjgCv8F1b46dChA88++yxvv/02y5YtIzs7m7///e9ehyVBYNGiRSxatMjrMESkZZRfRQKYcqxI4GluAWuAqnqvq3z7pJWdddZZzJ07l6FDhzJlyhSuuOIKrT8m+7Vr1y527drldRgi0jLKryIBTDlWJPA0t4B9BfjBGHOvMeZe4HvgJb9FFebS09P56quvuOuuu3jppZcYPXo08+fP9zosERFpfcqvIiIiB6G5kzg9ClwClAGbgEustY/5M7Bw165dO37/+9/zySefsGnTJsaOHctzzz2Htdbr0EREpJUov4qIiByc/Rawxph432MSkA/8FXgNKPDtEz+bNGkS8+bNY+LEiVx99dWcc845bNq0yeuwRETkECi/ioiItMyBWmD/5nucDeTU22pe75cx5kTf4uwrjDF37uOcnxtjFhljFhpj/tbUOeEuJSWFf/3rXzzyyCO8++67jBw5km+//dbrsCRAJCQkkJCQ4HUYInJwDim/gnKsSFtQjhUJPMZfXVKNMZHAMuB4oBCYBfzCWruo3jmZwJvAT6y1m4wxKdba4v1939GjR9ucnGbl9pA0a9YspkyZQn5+PnfddRd333037dq18zosEZGwZIyZba0d7cG/qxwrIiIha3/5tbnrwH7WnH2NjAVWWGvzrLW7gTeAyY3OuQJ42lq7CeBAiVVgzJgxzJ07l4svvpj77ruP8ePHs2zZMq/DEhGRFmhhfgXlWBERCVMHGgPb3jcWp4sxJtEYk+TbMoCeB/jeqcCaeq8LffvqGwAMMMZ8a4z53hhz4sGFH57i4uJ4+eWXefvtt1m5ciXZ2dm88MILmuApTC1YsIAFCxZ4HYaIHIRDzK+gHCvSJpRjRQLPgVpgr8SNxxnke6zZ3gWePsDXNrWOXeMKKwrIBCYCvwBeNMZ03usbGTPVGJNjjMkpKSk5wD8bPs466yzmz5/P+PHjufLKK5k8eTLFxbrBHm727NnDnj17vA5DRA7OoeRXUI4VaRPKsSKBZ78FrLX2cWttH+BWa21fa20f3zbCWvvUAb53IdC73utewNomznnXWrvHWrsKWIpLto3jeMFaO9paO7pr164HvKhw0rNnT2bMmMFjjz3Gxx9/zPDhw/nXv/7ldVgiIrIfh5hfQTlWRETCVHPXgX3SGDPMN5vhRTXbAb5sFpBpjOljjIkGpgDvNTrn/4BjAYwxXXDdnfIO7hIkIiKCG264gZycHLp3784pp5zCNddcQ0VFhdehiYjIfrQwv4JyrIiIhKnmTuJ0D/CkbzsWeAg4bX9fY62tBK4FPgIWA29aaxcaY35njKn52o+AUmPMIuAL4DZrbWmLrkQYNmwYM2fO5NZbb+XZZ58lOzub77//3uuwRERkH1qSX0E5VkREwlezltExxswHRgBzrLUjjDHdgBettaf6O8DGNMV/83z++edccsklFBYWcuutt/Lb3/6W9u3bex2W+EF+fj4AGRkZnsYhEo4OdRmdQMqvoBwr0phyrIg3DnkZHWCHtbYaqDTGxAPFQN/WClBa309+8hPmz5/PZZddxkMPPcSoUaPQh5LQlJGRocQqEryUX0UCmHKsSOBpbgGb45u58M+4WRJ/BGb6LSppFfHx8bzwwgvMmDGD8vJyxo0bx69//Wt27drldWgiIuIov4qIiByEZnUhbvAFbo26eGttrj8COhB1b2qZzZs3c9NNNzF9+nSGDx/OX/7yF7Kzs70OS1pBbq57K2ZlZXkciUj4OdQuxI2+VwYe5ldQjhVpTDlWxBut0YUYY0yqMeZIIA3obIw5urUCFP/r3Lkzr7zyCu+//z4lJSWMHTuW3/72t+zevdvr0OQQVVVVUVVV5XUYItJCyq8igUs5ViTwRDXnJGPMg8C5wCKg5l1sgf/4KS7xk1NOOYWFCxdy/fXXc++99/LOO+/w4osvMnbsWK9DExEJO8qvIiIiB6e5LbCnAwOttSdba0/1bQec5l8CU1JSEn/961959913KSsrY9y4cdx0001s27bN69BERMKN8quIiMhBaG4Bmwe082cg0vZOO+00Fi1axNVXX81jjz3GsGHD+Oijj7wOS0QknCi/ioiIHITmFrAVwFxjzPPGmCdqNn8GJm0jPj6ep59+mq+//poOHTpw4oknctFFF7Fx40avQ5NmSk5OJjk52eswRKRllF9FAphyrEjgadYYWOA93yYhasKECcyZM4f777+fBx54gH//+9/86U9/4vzzz8cY43V4sh9paWlehyAiLaf8KhLAlGNFAs9BL6PjNU3x73/z58/niiuu4IcffmDixIk888wzDB482OuwREQCTmsuoxMIlGNFRCQQtHgZHWPMm77H+caY3MabP4IV7w0fPpxvv/2W5557jrlz5zJixAimTZvG9u3bvQ5NmjBnzhzmzJnjdRgichCUX0WCg3KsSOA5UBfiG3yPp/g7EAkskZGRXHnllZxxxhnccccd/OEPf+Bvf/sbjz/+OJMnT1a3YhGRQ6P8KiIi0gL7bYG11q7zPRZYawuATcDWepuEuJSUFF555RW+/vpr4uPjOeOMMzj11FPJy8vzOjQRkaCl/CoiItK0Ay3t2axJnIwxVwK/A3bgFljH99j3UIKT4DFhwgR+/PFHnnzySe655x6GDh3K7bffzu23307Hjh29Dk9EJCgpv4qISDix1rJ582ZWrVpFfn4++fn5FBQUsHr1agoKCigoKKCsrGy/36O5sxDfCgy11mptlTDWrl07br75Zs4991xuvfVWfve73/HSSy/x4IMPct5556lbsYjIwVN+FRGRkLJ58+ba4rR+oVqzbdmypcH5nTp1Ij09nbS0NA4//HDS09OZNm3aPr9/cwvYlbi16kRITU3l9ddf55e//CU33ngjF1xwAU899RSPP/44Y8eO9Tq8sJOSkuJ1CCLScsqvIgFMOVZkb+Xl5XsVpfUL1fLy8gbnd+rUiT59+pCRkcExxxxDRkYGGRkZ9OnTh/T0dBITE/dqCGuNAnYa8J0x5gdgV81Oa+31zb1QCT0TJkxg5syZ/OUvf+Guu+7i8MMP58ILL+SBBx4gNTXV6/DChv6vRYKa8qtIAFOOlXC0Z88eCgoKWLlyJXl5ebWPNQXqpk2bGpzfsWPH2qL0qKOOqn1esyUlJbVqT83mFrDPA58D84HqVvvXJehFRERwySWXcPbZZ3P//ffz6KOP8s4773DnnXdy8803a3xsG6iqqgLczNEiEnSUX0UCmHKshKotW7bUFqc1W83r1atX1/7uA8TExNC3b1/69OnDEUcc0aAFNSMjg+Tk5DYdSmistQc+yZjvrLVHtkE8B6RF1gNbXl4et912G//4xz/o0aMH9957L5deeilRUc29VyIHq2Z9uuzsbI8jEQk/+1tovZlfHzD5FZRjRRpTjpVgZa1l3bp1exWnNdvGjQ2nXkhOTqZfv361W9++fWuf9+jRg4iI/S5e0+r2l1+bW1V8YYyZCrxPwy5O+58iSsJO3759eeedd/jmm2+44447uPLKK3n00Ue5//77OeOMMzTRk4hIQ8qvIiLSIjVF6vLly1m2bFnt44oVK8jLy2PHjh2150ZERJCWlka/fv0488wzGxSoffv2JSEhwcMrOTjNLWDP8z3WH02raf5lnyZMmMA333zDe++9x5133slZZ53FuHHjeOihhzjqqKO8Dk9EJFAov4qIyH6VlpY2KFDrP27fvr32vJiYGPr160dmZiYnnHBCgxbVtLQ0oqOjPbyK1tOsAtZa28ffgUjoMcYwefJkfvaznzF9+nTuuecejj76aE499VR+//vfM3z4cK9DFBHxlPKriIiAG5O6fPnyJovU+pMmRUZG0qdPHzIzMznmmGPIzMxkwIABZGZm0rt377AYr93sgYnGmGHAEKB9zT5r7av+CEpCS1RUFJdffjnnnXceTzzxBH/4wx/Iysri5z//Offccw9DhgzxOkQREc8ov4qIhIfq6mpWr17NkiVLarfFixezdOlSNmzY0ODc3r17M2DAAM4999zaAnXAgAFkZGSETEtqSzWrgDXG3ANMxCXYD4GTgG8AJVhpttjYWO68806mTp3Ko48+yuOPP85bb73FlClTuPvuuxk0aJDXIQal7t27ex2CiLSQ8qtIYFOOlZbYsWMHy5cvb1CkLlmyhKVLlzYYl5qYmMjgwYM5+eSTGTBgQG2h2q9fP2JjYz28gsDW3FmI5wMjgDnW2hHGmG7Ai9baU/0dYGOaITF0bNy4kT/+8Y888cQT7Ny5k/PPP5/f/OY3ZGZmeh2aiEiztMIsxAGTX0E5VkTkYGzcuHGvInXJkiWsWrWKmhrLGEN6ejqDBw9m0KBBDBo0qPZ5ly5dNMHpPrTGLMQ7rLXVxphKY0w8UEwzJpgwxpwIPA5E4hLyH/Zx3tnAW8AYa60yZ5jo0qULDzzwADfddBMPP/wwTz/9NH/729+48MILmTZtGgMGDPA6xKCwe/dugLDvTiISpFqUX0E5VqQtKMeKtZb169ezcOHC2m3x4sUsXryY0tLS2vPat2/PwIEDGTNmDBdeeGFtkZqZmanW1FbW3AI2xxjTGfgzMBvYBszc3xcYYyKBp4HjgUJgljHmPWvtokbnxQHXAz8cZOwSIlJSUnj44Ye55ZZbeOihh3j22Wf5y1/+wllnncW0adM47LDDvA4xoC1cuBDQGnUiQeqg8ysox4q0FeXY8FJcXFxbpC5YsKD2ef1JlJKTkxk8eDBnnnlmg1bV9PT0Nl8rNVw1dxbia3xPnzPGzADirbW5B/iyscAKa20egDHmDWAysKjRef8LPATc2uyoJSR1796dRx99lDvuuIPHH3+cp59+mrfffpsTTjiBadOmcfTRR6ubhYiElBbmV1COFRFpsdLS0gYtqjXF6saNG2vP6dy5M0OHDuWcc85h2LBhDB06lKFDh5KSkqLPox5r7iROn1lrJwFYa/Mb79uHVGBNvdeFwOGNvm820Nta+4ExZp/J1bfI+1SAtLS05oQsQaxbt27cf//93HHHHTzzzDP86U9/YuLEiRxxxBFMmzaNU045RX84RCQktDC/gnKsiMgBbdu2jQULFpCbm9ugUK0/429cXBxDhw5l8uTJDB06tLZY7dGjhz5vBqj9FrDGmPZALNDFGJMI1PwU44GeB/jeTf3Ea2eMMsZEAH8C/udAQVprXwBeADfBxIHOl9CQkJDAtGnTuPHGG3n55Zd5+OGHOe200xg6dCg33ngj559/Ph06dPA6TBGRg3aI+RWUY0VEalVXV7Nq1Spyc3PJzc1l3rx55ObmsnLlytpzOnbsyJAhQzjppJNqW1OHDRtGr169VKgGmQO1wF4J3IhLprOpS5hbcGNv9qcQ6F3vdS9gbb3XccAw4EvfL0134D1jzGmaZELq69ChA7/85S+ZOnUqr7/+Oo8++ihXXHEF06ZN45prruGaa66hW7duXocpInIwDiW/gnKsiISp8vJy5s+f36BQnT9/Ptu3bwfcrL+ZmZlkZ2dz8cUXk5WVxfDhw8nIyNAY1RDR3GV0rrPWPnlQ39iYKGAZMAkoAmYB51lrF+7j/C+BWw+UWDXFv1hr+fLLL3n00Uf54IMPiI6O5rzzzuOmm24iKyvL6/DaXHFxMeAmwxKRttUKy+gcdH71fZ1yrEgbUI71TlVVFStWrGhQqObm5lJQUFB7TmJiIllZWWRlZTFixAiysrIYMmQIHTt29DByaQ2HvIyOtfZJY8yRQEb9r7HW7nOhdWttpTHmWuAj3BT/L1trFxpjfgfkWGvfO4hrEKlljOHYY4/l2GOPZdmyZTz++ONMn0YAuKsAACAASURBVD6d6dOnM2nSJK699lpOOeUUoqKaO8l2cFNSFQleLcmvvuPKsSJtQDm2bezYsYP58+czZ84cfvzxR+bMmcP8+fPZuXMnAJGRkQwaNIgjjzySq666qrZoTU1NVfffMNTcFtjXgH7AXKDKt9taa6/3Y2xN0t1haUpZWRl//vOfeeqppygsLKRXr15MnTqVyy+/nB49engdnl/V/HFv3769x5GIhJ9WaIENmPwKyrEijSnHtr7NmzczZ86cBtuSJUuoqnJ/Ajt37kx2djYjR46sbVUdPHiwfgZhZn/5tbkF7GJgiG3OyX6m5Cr7U1lZyQcffMCzzz7Lxx9/TFRUFGeccQZXX301EydODMm7dHPmzAG0Rp2IF1qhgA2Y/ArKsSKNKce2nLWWdevW7VWsrlq1qvac1NRUsrOzG2zp6ekh+XlNDs4hdyEGFuAmgFjXalGJ+EFUVBSnn346p59+OsuXL+f555/n5Zdf5q233mLw4MFceeWVXHDBBSQnJ3sdqogIKL+KSAiw1pKXl1fb/bemK3DNGGKAzMxMxowZw9SpU2uLVXXRlpZobgHbBVhkjJkJ7KrZaa09zS9RibSCzMxMHnnkEf73f/+XN998k2eeeYYbb7yR22+/ncmTJ3PppZdy/PHHExkZ6XWoIhK+lF9FJKhYa1mzZg2zZs0iJyendtu8eTPgGhOGDh3KySefTHZ2NocddhgjRowgLi7O48glVDS3gL3Xn0GI+FOHDh24+OKLufjii8nNzeWVV17htdde46233qJXr15cfPHFXHLJJfTr18/rUEUk/NzrdQAiIvuzbt26vYrVkpISwBWrWVlZnHvuuYwaNYpRo0YxdOhQYmJiPI5aQlmzxsACGGO6AWN8L2daa4v3d76/aHyOtIZdu3bxwQcf8PLLLzNjxgz+f3t3Hl3Ved57/PtISIAGJJAQSAoCg7AsgRBGQgqSEXbtqKTUduPZNCtey3bpHdLBaeuVe7tuk3bd3jbpdePedZNmqtNlr9hp6ja+YCeBNLYRRiCQmEFmtEED1sAgEKMk3vvH2dqWhAAZ63Cm32etvbSH92y9r87Zes6z97vffeXKFZYtW8bTTz/NQw89REpKSqirOGq6P0ckdD7tPbDePsIivoJirMhwsRZjOzs7hySqDQ0NtLUFHjEdFxfHvHnzKCsrY/HixZSVlVFcXKzBlSQoxmIQp8eAvwPeJfCw9aXAnznnXh/Deo6KgquMtdbWVl5++WVeeuklDh06RFJSEg8++CArV66kpqaGxMTEUFfxurq6ugDIzMwMcU1EYs8YDOIUNvEVFGNFhovmGNvd3X3VldWBZ6yaGQUFBZSVlfkJ68KFC0lKSgpxrSVWjEUCuxP43MBZYTObCvyHc65kTGs6CgquEizOOTZu3Mirr77KT3/6U06cOEFGRgaPPvooK1eupKqqiri4uFBXU0TCyBgksGETX0ExViRa9fX1sXv3burr6/2pqanJ3z5nzhw/WS0rK2PRokVMmjQphDWWWDcWoxDHDevSdALQN3mJKmbGXXfdxV133cWLL77Ir371K1599VVefvllvvvd75KXl8eTTz7JE088QUlJSdgM8X7+/HkAnRUViUyKryJhLBJjrHOOlpaWIclqQ0MDFy5cAAJXkysqKli5ciXl5eWUlZUxZcqUENdaZPRGm8D+0szWAq95y48DPw9OlURCLzExkRUrVrBixQp6enpYvXo1r776Ki+88ALf+MY3mDNnDg8//DAPP/wwixcvDmkyu3//fiB27s8RiTKKryJhLBJibE9PDw0NDUMS1oH7VhMTE7nzzjtZtWoVFRUVVFRUcNttt4XNSXiRm3HdBNbM8oFpzrk/M7OHgLsI3KOzCfjxLaifSMilpKSwcuVKVq5cSVdXF2+88Qavv/46f//3f883v/lN8vLyeOihh3jkkUdYsmSJuhmLyA0pvorIzejv76epqWlIsrpnzx6uXLkCBLoC33PPPX6yWlJSohGBJerc6Arsi8B/B3DO/Tvw7wBmVuZtuz+otRMJM5mZmTz77LM8++yznDp1itWrV/Nv//ZvfOc73+HFF18kOzubL3zhCzzwwAPcfffdChoici2KryJyQ6dPn6a+vp66ujrq6uqor6/n7NmzAKSnp1NRUcHv/M7vUFFRQXl5eVQONiUy3I0S2FnOuV3DVzrnGsxsVlBqJBIhJk+e7D9f9syZM7z11lu8/vrr/OhHP+I73/kOycnJ1NTUcP/997NixQqysrJCXWURCR+KryIyhHOOw4cPU1dXx8aNG6mrq2Pv3r0454iLi2PBggV88Ytf5LOf/SwVFRXMnTtXvb4kJt0ogb3eg50mjmVFRCLZpEmTePLJJ3nyySe5cOECb7/9NmvWrOHNN9/kZz/7GWZGeXk5999/P/fffz/FxcW6/0Qktim+isS4ixcv0tDQ4F9drauro7OzE4C0tDSWLFnCY489RmVlJeXl5aSmpoa4xiLh4bqP0TGz14C3nXM/GLb+GaDGOfd4kOt3FQ3xL5HEOceOHTtYs2YNa9asYeCzm5eXx/Lly6mpqeHee+8lPT39pn/HyZMnATSCoEgI3OxjdMIxvoJirMhwYxljjx8/PiRZbWxspLe3F4C5c+dSVVVFZWUllZWVFBYW6uqqxLSbfg6smU0DfgZcBhq91WVAIvAF59xHY1zXG1JwlUh2/Phx3nrrLd58803efvttzp49S1xcHBUVFdTU1FBTU0N5eTnjxo12gHARCaVPkcCGXXwFxViRsdLf38/u3buHJKwffPABABMmTGDx4sV+srpkyRKmTp0a4hqLhJebTmAH7eAeYL63uNc59/YY1u8TUXCVaNHb28vmzZtZt24d69atY+vWrTjnSEtL495776Wmpob77ruP2bNnX7e78cBgDupaJHLr3WwCO+j1YRNfQTFWZLjRxtjLly/T2NjI+vXrqa2tZePGjZw5cwaA7Oxs/+pqVVUVCxcuJDExMeh1F4lknzqBDScKrhKtTpw4wa9//WvWrVvH2rVraWlpAWDGjBncfffd/jT8+W3bt28HwvsZdSLR6tMmsOFGMVZkqGvF2AsXLlBfX09tbS3r169n06ZNXLhwAYCioiKqq6tZunQpVVVV5OXladwLkU/oevFV/RRFwkRGRgaPPfYYjz32GM453n//fd555x3effddfvnLX/LKK68AVye0IiIiElxnz56lrq6O2tpaamtr2bJlC5cvX8bMWLhwIatWrfKTVnUHFgmuiLsCW1RU5H7846HPeM/KyiI3N5f+/n527brqqQRMnz6d7OxsLl++zN69e6/anpubS1ZWFhcvXqSpqemq7TNmzCAzM5Pz58+zf//+q7bPnDmTKVOmcPbsWQ4dOnTV9tmzZ5OWlkZ3dzdHjhy5ant+fj6pqamcPHmSo0ePXrW9oKCApKQkurq6aG5uvmp7YWEhEyZMoKOjg9bW1qu2z5s3j8TERI4fP85HH119W9WCBQuIj4+ntbWVjo6Oq7YPnHU8duwYJ06cGLItPj6eBQsWAPDhhx9y6tSpIdsTEhKYPz/QO+7IkSN0d3cP2T5+/HiKiooAOHjwID09PUO2JyUlUVBQAMD+/fs5f/78kO0pKSnMnTsXgH379nHp0qUh29PS0pg9ezYAe/bs8QdLGDB58mRmzZoFwK5du+jv7x+yPSMjg7y8PODjs7CD3arP3rlz59ixYwenT5/2p97eXl555RWeffZZMjMzSUpKIi0tjeTkZP/1+uzps6f/e8H97EXbFVjF2PD9rOn/3K397PX19dHR0cHFixc5f/48J0+exDmHmZGamkpaWhpJSUksWbIEM9NnT5+9IfR/79N/9nQFViTCmRlJSUkkJSWRk5MDwPnz50lPTychIYEzZ874/2Di4+OZNGkSaWlpnDhxgvLy8lBWXUREJOz19vbS3d3tnyQ+d+4cr7zyCk899ZSf7KSnp5Oamkp8fDwwNIkQkVsn4q7A6v4ckaEGzhympaUNefj57t27/bPFxcXFVFVVsWTJEhYvXsztt9+u4flFxkC0XYFVjJVY0dzc7HcHXr9+vX8VLCkpiaqqKqqrq6muriY5OZm4uDiNMyFyi2kQJ5EoNnDmNy0tbcj6M2fOsHnzZn/4/s2bN/ujKU6aNInS0lIWL17sTxpkQuSTUwIrEv6ccxw5csQfIbi2ttZ/pE1aWhpLly71E9ZFixaRkJDgv/ZaMVZEgksJrIjQ39/Pvn372Lp1K1u3bqWhoYGdO3f6941MnTp1SEJbVlbGtGnTQlxrkfCmBFYk/DjnaGpqGpKwtrW1AZCZmeknq8uWLaO4uNjvEiwi4UP3wIpEsdGeHY6Pj6e4uJji4mKefvppAC5dusSuXbv8pHbr1q384he/YODE1vTp01m4cOGQKT8/X8FeRETCxsBAOwPdgTds2EBXVxcAOTk5LFu2zE9aCwsLP1FvI12BFQk/QU1gzWw58A9APPBD59zfDtv+FeBZoA/oBJ52zl09VJaIXNPA6HM3c3/O+PHj/SuuA3p6eti2bRvbtm1j586d7NixgxdeeMG/UpuUlERxcbGf0JaUlFBcXExKSsrYNEhERkUxVmJVb28vjY2N/tXV9957z080b7vtNlasWOEnrbNnz/5Ut8d8mhgrIsERtATWzOKBbwOfA1qArWa22jm3b1Cx7UCZc+68mf1n4JvA48Gqk4jcWEpKin+mesDly5dpampix44d/vTTn/6U733ve0BglOTZs2czb968IdMdd9zBhAkTQtUUkailGCux5OLFi2zZssXvElxXV+c/duWOO+7g8ccf9+PWjBkzQlxbEQm2YF6BLQcOOeeOAJjZT4AHAT+4OufeGVR+M/DFINZHRG5SYmIiJSUllJSU8NRTTwGBe4yam5v9hHb37t3s3buXn//85/T19QEQFxfHnDlzmDdvHkVFRX5iW1BQoMRW5NNRjJWo1dPTw6ZNm/wuwfX19Vy+fNkfVf+ZZ56hurqapUuXaqwGkRgUzAQ2Fxj8ZNwWoOI65Z8BfjHSBjNbBawC/IcOi0homRl5eXnk5eXxwAMP+OsvX77MgQMH2LdvH3v37vWnNWvW+A8Sj4uLIz8/n4KCAgoKCrj99tu5/fbbKSgoYNq0aRoNWeTGFGMlapw+fZr33nvP7xLc2NhIX18f8fHxLFq0iD/4gz9g2bJlVFVVMWXKlFBXV0RCLJgJ7EjfQEcc8tjMvgiUActG2u6c+z7wfQiMkDhWFRSRsZeYmMj8+fOZP3/+kPWXLl3iwIEDfkK7b98+Dhw4wLp167h06ZJfbtKkSX5CO5DUDszrPlsRn2KsRKzOzk4/Wa2trWXnzp0450hMTKS8vJznn3+e6upqKisrSU1NDXV1RSTMBDOBbQEG34jwGaBteCEzuw/4c2CZc+7S8O0icn35+fmhrsKojB8/3h8FebD+/n6am5s5cOAA+/fv58CBAxw4cICNGzfy2muvMfhRXzk5OcydO5fZs2dfNU2dOlVXbiWWKMZKxGhtbfW7A9fW1tLU1ATAxIkTqays5Otf/zrV1dVUVFQwceLEENd2qEiJsSKxJJgJ7FZgrpndBrQCTwArBxcwszuB7wHLnXMdQayLSNSK9LPT8fHxzJo1i1mzZlFTUzNk24ULFzh8+LCf2O7fv5/Dhw+zdu1a/5l+A1JSUkZMbGfPns2sWbMYP378rWyWSLApxkpYcs7xwQcf+FdX169f74/km5qayl133cWXvvQlli1bRmlpKYmJiSGu8fVFeowViUZBS2Cdc31m9mVgLYEh/l9yzu01s78CGpxzq4G/A1KAf/WunBxzzj1wzZ2KyFVOnjwJEJX3BU2cOHHE7sgQSG4/+OADjhw5MmQ6ePAga9eu5cKFC35ZMyMnJ4eZM2cyc+ZM/97dgWnmzJl6xp9EFMVYCRfOOd5///0hXYJbWlqAQFyqrq7my1/+MtXV1ZSUlDBuXFCf4DjmojnGikQqG9w9LxKUlZW5hoaGUFdDJGxs374d0DPqBnPO0d7ezpEjRzh8+LCf3DY3N3P06FGam5v959oOmDRp0pCEdniSm52dTUJCQohaJOHKzBqdc2WhrsdYUYyVG7ly5Qq7d+/2uwPX1tbS2dkJwPTp06murvafwVpUVERcXFyIa/zpKMaKhMb14mtknQYTERkFM2P69OlMnz6dysrKq7ZfuXKF9vZ2jh07xtGjRzl27NiQafPmzf5Z98H7zMrKIjc3l5ycHHJzc0ecnzJliu7FFZGo0dvby7Zt29iwYQPr16/nvffe4/Tp0wDMnDmT5cuX+0lrfn6+/v+JSNApgRWRmBMXF0d2djbZ2dlUVIz85JGenh6am5v9JLetrY3W1lZaW1tpbm5m8+bNdHV1XfW6CRMmkJOTM2KSO23aNKZNm8b06dOZPHmyvuiJSNi5cOEC9fX11NbWsmHDBurq6jh//jwAc+fO5ZFHHqG6uprq6mpmzpwZ4tqKSCxSAisiMoKUlBQKCwspLCy8ZplLly5x/PhxWltbhyS4A/ONjY2sXr16yP24AxISEvyEdiCpvdZ8enq6kl0RCYru7m42btzoJ6xbt26lt7cXM6O4uJinn36apUuXsnTpUrKzs0NdXRERJbAiIjdr/Pjx/gjK1+Kco7u7m7a2Ntrb2/noo49ob28fMv/RRx+xc+dO2tvb6evru2ofiYmJZGVlMX36dLKyspg6dSqZmZlkZmb684PXpaenR/x9ZyISHO3t7WzYsIENGzYMeQbruHHjKCsr47nnnmPp0qVUVVUxefLkUFdXROQqSmBFIlxBQUGoqyDXYWakp6eTnp5OUVHRdcteuXKFU6dOXTPRHZjfs2cPXV1dfre+4eLj48nIyLhhopuZmUlGRgaTJ08mNTVVV3lFooxzjqNHj/rJam1tLQcOHAACo7wvWbKEr33tayxdupSKigqSk5NDXOPwoxgrEn6UwIpEuKSkpFBXQcZIXFwcGRkZZGRk3DDZBTh//jxdXV10dXXR2dk54s+uri727dtHV1cXJ06c4MqVKyPuKz4+nilTpjB58mSmTJniT4OXR9o2efJkjc4sEiauXLlCU1MT7733nt8luLm5GYD09HTuuusunnnmGaqrq1m0aFHYP4M1HCjGioQfJbAiEW5gIKHMzMwQ10RutaSkJP8xP6PR39/P6dOnhyS5p06d4uTJk/7Pgfn29naampo4deqUP+LotaSmpg5JbtPS0vwpPT39ustpaWmMHz9+LP4cIjHn3LlzbNmyhY0bN1JXV8emTZv843XgkTbPP/881dXVzJ8/X7cW3ATFWJHwowRWJMINnF1XcJUbGehanJGR8YleN5D4jpTojjR/8OBBTp8+TXd3N2fPnr3h/idMmHDDJHdg3aRJk0hNTR1xio+Pv9k/jUhEaGlp8ZPVjRs3smPHDvr7+wGYN28ejz76KFVVVVRWVuqRNmNEMVYk/CiBFRGR67rZxBcCye/Zs2f9hHZgutFyc3OzP3+te32Hmzhx4pCE9nrJ7o2mpKQkffmXkOrr62PXrl1+slpXV8exY8eAwGe9oqKCr371q1RWVrJkyRINuCQiMUMJrIiIBE18fLw/iNXN6u3t9ZPZM2fOcPbs2VFPbW1tQ5ZHmwybGcnJyaSkpJCSknLNeZGx0tXVxZYtW9i8eTN1dXXU19fT09MDQG5uLlVVVXzlK1+hqqqKkpIS3XsuIjFLCayIiIS1hIQEf9TkT6u/v5+enp5RJb/nzp3j3Llz9PT00NPTw7lz5zh16hTNzc3+epGbcenSJbZv3059fT319fVs2bKFw4cPA4HB3EpKSnjqqaeoqqqiqqqKGTNmqEeAiIhHCayIiMSM+Ph4/77asaCkQm7EOcehQ4f8ZLW+vp4dO3bQ29sLBK6uVlRUsGrVKioqKigtLdXVfRGR61ACKxLhCgsLQ10FERHxHD9+nMbGRhoaGvyrqydPngQgOTmZsrIynnvuOSoqKqioqCA3NzfENZbrUYwVCT9KYEUi3IQJE0JdBRGRmOOco62tjcbGRhobG9m2bRuNjY0cP34cCHQFnjdvHg899JCfrBYVFWm07AijGCsSfpTAikS4jo4OALKyskJcExGR6OSco6Wl5apktb29HQgkq3fccQf33XcfpaWlLFq0iDvvvFNdgaOAYqxI+FECKxLhWltbAQVXEZGxcPnyZfbv38+uXbvYtWsXO3fuZNu2bXR2dgKBZLWoqIjly5ezaNEiSktLWbhwIcnJySGuuQSDYqxI+FECKyIiIjHHOUd7e7ufqA5M+/bt8wdYSkhIoKioiBUrVlBaWkppaSklJSUkJSWFuPYiIrFLCayIiIhEte7ubpqammhqamLPnj3+ldWBq6oAOTk5lJSUsHz5chYsWMCCBQsoKCjQ81ZFRMKMElgRERGJeM45Ojo6/ER13759/s+BgZUgMCjP/Pnzuf/++/1Etbi4eEyeMywiIsGnBFZEREQixvnz5zly5AiHDh3i0KFD7N+/309aBx5XA5CSkkJhYSE1NTUUFhb602233ca4cfr6IyISqfQfXCTCzZs3L9RVEBEZU+fOnePw4cMcOnSIgwcP+snqoUOHaGlpGVJ26tSpFBYW8uijj1JYWEhRURGFhYXk5uZiZiFqgUQLxViR8KMEViTCJSYmhroKIiKfyLlz5zh69ChHjx7lww8/9OcHlgd3+QWYNm0a+fn53HvvveTn5zN37lzy8/OZM2cO6enpIWqFxALFWJHwowRWJMINfNHLzs4OcU1ERALJaVtb25CppaVlSJJ64sSJIa9JSEggLy+PmTNn8vnPf578/Hx/mjNnDpMmTQpRayTWKcaKhB8lsCIR7qOPPgIUXEUkePr6+ujq6qKjo4POzk46Ozvp6Ojg+PHjtLa2DklWu7u7r3p9cnIyeXl5zJo1i/LycmbOnOlPs2bNYvr06cTFxYWgZSLXpxgrEn6CmsCa2XLgH4B44IfOub8dtn088DJQCpwAHnfOfRjMOomIiESDYMTYtrY2fv/3f39IktrZ2cmpU6dGLJ+QkEBOTg45OTkUFRXxuc99zl/OyckhNzeXnJwcUlNTdT+qiIiMiaAlsGYWD3wb+BzQAmw1s9XOuX2Dij0DnHLO5ZvZE8A3gMeDVScREZFoEKwYe/z4cd544w2mTp1KVlYWCxcuZOrUqf7ywPzAlJGRoSunIiJySwXzCmw5cMg5dwTAzH4CPAgMDq4PAl/35l8H/q+ZmXPOBbFeIiIikS4oMba0tJSGhobg1FhERGQMBPO0aS7QPGi5xVs3YhnnXB/QDWQEsU4iIiLRQDFWRERiUjCvwI50s8vws76jKYOZrQJWAeTl5X36molEkQULFoS6CiJy6ynGitwCirEi4SeYV2BbgBmDlj8DtF2rjJmNA9KAk8N35Jz7vnOuzDlXNnXq1CBVVyQyxcfHEx8fH+pqiMitpRgrcgsoxoqEn2AmsFuBuWZ2m5klAk8Aq4eVWQ085c0/Aryt+19FPpnW1lZaW1tDXQ0RubUUY0VuAcVYkfATtC7Ezrk+M/sysJbAEP8vOef2mtlfAQ3OudXAPwGvmNkhAmeFnwhWfUSiVUdHBwC5ucNvfxORaKUYK3JrKMaKhJ+gPgfWOfdz4OfD1v3FoPmLwKPBrIOIiEg0UowVEZFYpIe3iYiIiIiISERQAisiIiIiIiIRQQmsiIiIiIiIRASLtAEJzawTOBrqetwCmUBXqCtxi6nNsUFtjg2x0uaZzrmoefaMYmxUU5ujX6y1F9TmaHbN+BpxCWysMLMG51xZqOtxK6nNsUFtjg2x2GaJHLH4+VSbo1+stRfU5lilLsQiIiIiIiISEZTAioiIiIiISERQAhu+vh/qCoSA2hwb1ObYEIttlsgRi59PtTn6xVp7QW2OSboHVkRERERERCKCrsCKiIiIiIhIRFACG0JmFm9m283sTW/5NjOrN7ODZvYvZpborR/vLR/yts8KZb1vlpl9aGa7zWyHmTV466aY2a+8Nv/KzCZ7683M/o/X5l1mtii0tb85ZpZuZq+b2ftm1mRmS6K5zWZW4L2/A9MZM/vjaG4zgJk9Z2Z7zWyPmb1mZhNi4Hj+I6+9e83sj711Uf0+S2RRjI3+Y1IxVjE2Go9nxdcbUwIbWn8ENA1a/gbwLefcXOAU8Iy3/hnglHMuH/iWVy5S3eOcWzho+O+vAr/22vxrbxng88Bcb1oF/OMtr+nY+Afgl865O4ASAu931LbZObffe38XAqXAeeBnRHGbzSwX+EOgzDk3H4gHniCKj2czmw/8HlBO4HP922Y2lyh+nyUiKcZG/zGpGKsYG1XHs+LrKDnnNIVgAj5D4AP4G8CbgBF4KPE4b/sSYK03vxZY4s2P88pZqNtwE23+EMgctm4/kO3NZwP7vfnvAU+OVC5SJmAS8MHw9yqa2zysnTXAxmhvM5ALNANTvOPzTeA3o/l4Bh4Ffjho+X8Az0fz+6wpsibFWH9d1B6TirGKsdF4PCu+jm7SFdjQeZHAB/KKt5wBnHbO9XnLLQQOWvj44MXb3u2VjzQOWGdmjWa2yls3zTl3HMD7meWt99vsGfz3iBSzgU7gR143th+aWTLR3ebBngBe8+ajts3OuVbgfwPHgOMEjs9Govt43gNUm1mGmSUBvwXMIIrfZ4k4irEB0XxMKsYqxkbj8az4OgpKYEPAzH4b6HDONQ5ePUJRN4ptkaTKObeIQHeH/2pm1dcpGw1tHgcsAv7ROXcncI6Pu3yMJBraDIB3L8oDwL/eqOgI6yKqzd59KA8CtwE5QDKBz/hwUXM8O+eaCHTL+hXwS2An0Hedl0R8myVyKMYqxl5DNLQZUIwlimOs4uvoKIENjSrgATP7EPgJgS5OLwLpZjbOK/MZoM2bbyFw9gVvexpw8lZWeCw459q8nx0E7tkoB9rNLBvA+9nhFffb7Bn894gU817ubQAABcBJREFULUCLc67eW36dQLCN5jYP+DywzTnX7i1Hc5vvAz5wznU653qBfwcqif7j+Z+cc4ucc9UE6n+Q6H6fJXIoxirGRmubByjGRvHxrPh6Y0pgQ8A599+cc59xzs0i0AXkbefc7wLvAI94xZ4C/p83v9pbxtv+tvM6ukcKM0s2s9SBeQL3buxhaNuGt/lL3uhqnwW6B7pORArn3EdAs5kVeKvuBfYRxW0e5Ek+7toE0d3mY8BnzSzJzIyP3+eoPZ4BzCzL+5kHPETg/Y7m91kihGKsYixR2uZBFGOj+3hWfL2RUN+EG+sTcDfwpjc/G9gCHCLQLWS8t36Ct3zI2z471PW+iXbOJtANYiewF/hzb30GgYE2Dno/p3jrDfg2cBjYTWD0uZC34ybavRBoAHYBbwCTY6DNScAJIG3Qumhv818C7xP4wvgKMD6aj2evHRsIfInYCdwbC++zpsibFGOj+5hUjPXXRXubYyrGKr7eeDKv8SIiIiIiIiJhTV2IRUREREREJCIogRUREREREZGIoARWREREREREIoISWBEREREREYkISmBFREREREQkIiiBFRkjZvYtM/vjQctrzeyHg5ZfMLOvjPHv7BnL/Xn7XGhmvzVo+etm9qejeF2/me0ws5wxqsc7ZtZjZmVjsT8REYlMiq+KryKDKYEVGTt1QCWAmcUBmcC8QdsrgY0hqNcntRD4rRuWutoF59xC51zbWFTCOXcPgef7iYhIbFN8VXwV8SmBFRk7G/ECLIHAugc4a2aTzWw8UAhsN7MUM/u1mW0zs91m9iCAmX3DzP7LwM68M7N/4s3/mZltNbNdZvaXI/3ykcqY2SwzazKzH5jZXjNbZ2YTvW2LvbKbzOzvzGyPmSUCfwU87p3tfdzbfZGZvWtmR8zsD0fzx/DO7v61me00s81mNs1b/89m9o/eGeAjZrbMzF7y6vnPn+QPLiIiMUHxdWh9FF8lpimBFRkj3pnRPjPLIxBoNwH1wBKgDNjlnLsMXAS+4JxbBNwDvGBmBvwEeHzQLh8D/tXMaoC5QDmBs7elZlY9+HffoMxc4NvOuXnAaeBhb/2PgP/knFsC9HttuAz8BfAv3tnef/HK3gH8prf/r5lZwij+JMnAZudcCVAL/N6gbZOB3wCeA9YA3yLwpaTYzBaOYt8iIhIjFF+vovgqMU0JrMjYGjhLPBBgNw1arvPKGPC/zGwX8B9ALjDNObcdyDKzHDMrAU45544BNd60HdhGINjNHfZ7r1fmA+fcDm++EZhlZulAqnNuoE6v3qBdbznnLjnnuoAOYNoo/haXgTcH/95B29Y45xywG2h3zu12zl0B9g4rJyIiAoqvgym+SkwbF+oKiESZgft0igl0cWoG/gQ4A7zklfldYCpQ6pzrNbMPgQnetteBR4DpBM4YQyAg/41z7nvX+b0jljGzWcClQav6gYle+U9i+D5G87+j1wuiI71mYH9Xhu37yij3LSIisUXx9WOKrxLTdAVWZGxtBH4bOOmc63fOnQTSCXRz2uSVSQM6vOB6DzBz0Ot/AjxBIMi+7q1bCzxtZikAZpZrZlnDfu9oyvicc6cI3D/0WW/VE4M2nwVSP0mjRUREgkzxVUQAnYkRGWu7CYyO+OqwdSle9yCAHwNrzKwB2AG8P1DQObfXzFKBVufccW/dOjMrBDYFbuWhB/giga5G3KBM/3Xq+gzwAzM7B7wLdHvr3wG+amY7gL/5xH8BERGRsaf4KiIA2Mc9EEQklphZinOux5v/KpDtnPujT7G/HudcyphVMLDPd4E/dc5puH8REYkIiq8iwaUuxCKxa4U3lP8eYCnwPz/l/s7YGD9oHZgN9I7F/kRERG4RxVeRINIVWBEREREREYkIugIrIiIiIiIiEUEJrIiIiIiIiEQEJbAiIiIiIiISEZTAioiIiIiISERQAisiIiIiIiIRQQmsiIiIiIiIRIT/DzQebZlW72MOAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axs = subplots(2, 2, figsize=(13,6), constrained_layout=True)\n",
"cn.plot(3400, 6200, 0.25, wlref=630, axs=axs[:,0])\n",
"cn.plot(6200, 3400, 0.25, wlref=630, axs=axs[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Transit light curve example\n",
"\n",
"We use a `pytransit.UniformModel` so we don't need to think about the limb darkening.\n",
"\n",
"The transit model needs an array of mid-exposure times (`times`), light curve indices (`lcids`), and passband indices (`pbids`). The `lcids` and `pbids` indices are needed since PyTransit models heterogeneous light curves consisting of multiple passbands: `lcids` map each exposure to a single light curve, and `pbids` map each light curve to a single passband."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"from pytransit import UniformModel\n",
"from pytransit.contamination import contaminate_light_curve\n",
"\n",
"tm = UniformModel()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"npt = 500\n",
"npb = len(cn.instrument.filters)\n",
"times = tile(linspace(0.88, 1.12, npt), npb)\n",
"lcids = repeat(arange(npb), npt)\n",
"pbids = arange(npb)\n",
"\n",
"tm.set_data(times, lcids, pbids)\n",
"flux = tm.evaluate_ps(0.1, 1.0, 1.5, 4.0, 0.5*pi)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"c = cn.contamination(0.5, 4400, 6200)\n",
"cflux = contaminate_light_curve(flux, c, pbids[lcids])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = subplots(figsize=(13,6))\n",
"ax.plot(flux)\n",
"ax.plot(cflux)\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"