{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to recover a known planet in Kepler data?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial demonstrates the basic steps required to recover a transiting planet candidate in the Kepler data.\n", "\n", "We will show how you can recover the signal of [Kepler-10b](https://en.wikipedia.org/wiki/Kepler-10b), the first rocky planet that was discovered by Kepler! Kepler-10 is a Sun-like (G-type) star approximately 600 light years away in the constellation of Cygnus. In this tutorial, we will download the pixel data of Kepler-10, extract a lightcurve, and recover the planet." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kepler pixel data is distributed in \"Target Pixel Files\". You can read more about them in our tutorial [here](http://lightkurve.keplerscience.org/tutorials/target-pixel-files.html). The `lightkurve` package provides a `KeplerTargetPixelFile` class, which enables you to load and interact with data in this format.\n", "\n", "The class can take a path (local or url), or you can load data straight from the [MAST archive](https://archive.stsci.edu/kepler/), which holds all of the Kepler and K2 data archive. We'll download the Kepler-10 light curve using the `from_archive` function, as shown below. *(Note: we're adding the keyword `quarter=3` to download only the data from the third Kepler quarter. There were 17 quarters during the Kepler mission.)*" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from lightkurve import search_targetpixelfile\n", "tpf = search_targetpixelfile(\"Kepler-10\", quarter=3).download()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use the `plot` method and pass along an aperture mask and a few plotting arguments." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(scale='log');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The target pixel file contains one bright star with approximately 50,000 counts." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we will use the ``to_lightcurve`` method to create a simple aperture photometry lightcurve using the\n", "mask defined by the pipeline which is stored in `tpf.pipeline_mask`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "lc = tpf.to_lightcurve(aperture_mask=tpf.pipeline_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the output lightcurve." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's use the `flatten` method, which applies a Savitzky-Golay filter, to remove long-term variability that we are not interested in. We'll use the `return_trend` keyword so that it returns both the corrected `KeplerLightCurve` object and a new `KeplerLightCurve` object called 'trend'. This contains only the long term variability." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "flat, trend = lc.flatten(window_length=301, return_trend=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the trend estimated by the Savitzky-Golay filter:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = lc.errorbar() # plot() returns a matplotlib axis \n", "trend.plot(ax=ax, color='red'); # which we can pass to the next plot() to use the same plotting window" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and the flat lightcurve:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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5jP9/8MEHRtDw3HPPGa8fj2abREREZK+oqKi9k+BINMGN02UZMFEiuYId6c0bFJP6+npMnDgRy5Yt40BoIiKiDqC6uhqLFi3CzJkzjVl4iNqD3bUYTRmyU7Y0HK9mzpwZ9lbD8ePHY/z48e2UIiIiIiLqDBg0dCKLFi1iSwMREVEHIJV4LS0t7ZwSOt7JNahXLEcrvrWJiIiIKIzM42/2dmGitiTXoP5uiWixpYGIiIgowbKysjBixAhjytAzzjiDsyBSm2ppacGOHTvw5ptvYsSIEXH3RmHQQERERJQEMvd+W7x4i8jKiBEjHL0HIhIGDURERERJ4Ha7MXHiRFxxxRU4cOAAAoFAeyeJjiNutxs9evRI2HhXBg1ERERESZSVlcWJSuiYx4HQRERERERki0EDERERERHZYvekToQvdyMiIiKiZGDQ0Inw5W5ERERElAzsnkRERERERLYYNBARERERkS0GDUREREREZItBAxERERER2WLQQEREREREthg0EBERERGRLQYNRERERERki+9p6ET4cjciIiIiSgYGDZ0IX+5GRERERMnA7klERERERGSLQQMREREREdnqlN2TGhoaUFZWhjVr1qCurg75+fm49tprMXr06ISum4xlt2/fjqVLl6KyshKHDx9Gbm4uxowZg6uuugqZmZmxHxQiIiIiohh1yqBh/vz5qKysxJQpU9C7d2+sWrUKCxcuRCAQwMUXX5ywdRO97O7du3HXXXehd+/euOmmm9CtWzds2bIFL730ErZv34777rsvcQeJiIiIiMihThc0rF+/Hh9//DFmz56NMWPGAAAGDx4Mn8+HkpISjBo1CikpKXGvm4xlV61ahaamJvz3f/83TjnlFADAeeedh/3798Pr9eLw4cM44YQTknfwiIiIiIhMdLoxDevWrUOXLl0wcuTIkM/HjRuH/fv3Y+vWrQlZNxnLpqa2xnD6DEgnnHAC3G638b2V+vp6R3+OHj1qux0iIiIiIlWna2moqqpCfn5+WGtCQUGB8f3ZZ58d97rJWPaSSy7B66+/jmeeeQZTp05Ft27dsHnzZng8Hlx22WURxzRMmzbN9ntRXFyMyZMnO1qWiIiIiKjTBQ11dXXo1atX2OfZ2dnG94lYNxnLnnzyyVi4cCHmz5+P6dOnG8tdccUVIf+3UlJS4ug9DWlpaRGXISIiIiISnS5oOJbt2bMHDz74IE488UTcc8896N69O7Zu3Yply5ahsbERt912m+36WVlZfLkbERERESVcpwsasrOzTVsT5DOp3Y933WQs+/zzz6OhoQFPPPGE0RXp3HPPRbdu3bB48WL84Ac/wKBBgyzTT0RERESUDJ1uIHRBQQFqamrQ0tIS8nlVVRUAoG/fvglZNxnL7tixA3369Akbu9C/f38ArVOyEhERERG1tU4XNIwYMQINDQ1Yu3ZtyOfl5eXIycnBWWedlZB1k7HsSSedhN27d6OhoSFkuc8//9z4noiIiIiorXW67knDhw/HkCFDsGTJEtTX1+OUU07B6tWrsXHjRsyaNcuYwaiiogL33XcfJk2ahOLi4qjWTdayP/7xjzFv3jz8+te/xk9+8hN069YNX3zxBV555RX06dMHw4YNa8MjSURERETUyhUMBoPtnYhEa2hoQGlpKdasWYO6ujrk5+djwoQJGD16tLFMRUUF5syZEzb9qJN1k7nsJ598gldeeQW7du3CkSNHkJubi/PPPx8TJkxAt27dTH9vfX09Jk6ciGXLlnEgNBERERE5Ek0ZslMGDccbBg1EREREFK1oypCdrnvS8WzmzJlwu0OHqYwfPx7jx49vpxQRERERUWfAoKETWbRoEVsaiIiIiCjhOt3sSURERERElFgxBQ179uxxvOxHH30Uyy6IiIiIiKiDiClomDFjBlauXGm7TFNTE5YsWYJ58+bFlDAiIiIiIuoYYgoajh49isWLF+N3v/sdDh8+HPb9tm3bMGPGDHg8Hpx88slxJ5KIiIiIiNpPTEHD448/joKCAqxZswa/+tWv8MknnxjfLV++HHfddRe+/PJLjBs3Dk888UTCEktERERERG0vptmT+vTpg0WLFqG0tBQrVqzAr3/9a1x++eXYvn07Pv30U2RnZ+OXv/wlLrzwwkSnl4iIiIiI2ljMU66mpKRg6tSpGDZsGObNm4e///3vAIDzzjsPM2fORI8ePRKWSCIiIiIiaj9xvaehvr4e77zzDurr643PampqsHv3bgYN7YAvdyMiIiKiZIg5aNi8eTMee+wx1NbW4owzzsDtt9+O1atX429/+xt+85vf4IorrsCUKVOQlpaWyPSSDb7cjYiIiIiSIaag4fnnn8eKFSsQDAZx9dVX42c/+xlSU1NRUFCAYcOGYdGiRXjzzTexadMmzJo1CwUFBQlONhERERERtZWYZk/629/+hh49euChhx7C1KlTkZr6XewxcOBAPPnkkxg9ejSqqqowa9ashCWWiIiIiIjaXkxBw8iRI/Hkk09i0KBBpt9nZWVh1qxZmD17NtLT0+NKIBERERERta+YuifdddddjpYbPXo0zjnnnFh2QRTC4/GgqKiovZNBREREdFyKqaUhGj179kz2Lug44PV62zsJRERERMetmFoafD5fVMvn5eXFshsiIiIiIuoAYgoabrrpJrhcLsfLv/7667HshoiIiIiIOoCYgoaBAweaBg2BQAB79+5FbW0tgsEgvve974XMrETJxZe7EREREVEyxFSif/jhh22/r6mpwRNPPAGXy4W5c+fGsguKAV/uRkRERETJkJSB0Pn5+bj33nuxe/duvPjii8nYBRERERERtZGk9R3q3r07BgwYgNWrV2Pq1KnJ2o2phoYGlJWVYc2aNairq0N+fj6uvfZajB49OqHrJmvZLVu2YPny5fj8889x9OhRnHTSSbjkkkswadKk2A4IEREREVEckj7g4Ntvv032LsLMnz8flZWVmDJlCnr37o1Vq1Zh4cKFCAQCuPjiixO2bjKWfe+99/DYY49h5MiRmDlzJjIzM/H1119j//79iTk4RERERERRSlrQsH37dlRUVLT5dKvr16/Hxx9/jNmzZ2PMmDEAgMGDB8Pn86GkpASjRo1CSkpK3OsmY9l9+/bh6aefRmFhIW699VYjXYMHD07OwSIiIiIiciCmoGHp0qWW3zU2NuLLL7/Ehg0bEAgE2vwtvuvWrUOXLl0wcuTIkM/HjRuHRx99FFu3bsXZZ58d97rJWPadd95BY2Mjrr322riOARERERFRIsUcNLhcLgSDQctlMjIycNVVV+HKK6+MOXGxqKqqQn5+flhrQkFBgfG9VdAQzbrJWHbz5s3Izs5GTU0NHnroIVRVVSE7OxsXXnghpk2bFnFmpPr6etvvRVpaGtLS0hwtS0REREQUU9AwY8YM6w2mpiInJwf9+/dHZmZmzAmLVV1dHXr16hX2eXZ2tvF9ItZNxrL79u2D3+/HI488ggkTJmD69OmorKzECy+8gKqqKixYsMD2pXrTpk2z/E5VXFyMyZMnO1qWiIiIiCimoGHs2LGJTgcBCAaDaGpqwg033IAJEyYAAAYNGoTU1FQ8++yz2LRpE4YMGWK5fklJiaP3NByLrQyFhYXtnQQiIiKi41ZS3tPQnrKzs01bE+Qzqd2Pd91kLCt/Dx06NGS5YcOGAWgdXG4nKyvL0Z9jMWho67ExRERERPSdThc0FBQUoKamBi0tLSGfV1VVAQD69u2bkHWTsayMcdDJ2BG7rklERERERMniqHvSTTfdFPMOXC4Xnn322ZjXj9aIESPg9Xqxdu1ajBo1yvi8vLwcOTk5OOussxKybjKWveiii+D1erFhwwaceeaZxnLr168HAAwYMCCWQ0JEREREFBdHQYPP50t2OhJm+PDhGDJkCJYsWYL6+nqccsopWL16NTZu3IhZs2YZMxhVVFTgvvvuw6RJk1BcXBzVusladujQobjgggvw0ksvIRgMYsCAAaisrMRLL72E888/HwMHDmzDI0lERERE1MoVtJs39RjV0NCA0tJSrFmzBnV1dcjPz8eECRMwevRoY5mKigrMmTMnbCYhJ+smc1m/34+lS5di1apVOHDgAHJycnDxxRejuLjYcixCfX09Jk6ciGXLljkaCE1EREREFE0ZslMGDccbBg1EREREFK1oypCdbiA0EREREREllqMxDffeey+GDh2Ka665Juy7+vp6pKamIj09PeGJo+jMnDkTbndoHDh+/HiMHz++nVJERERERJ2Bo6ChoqICeXl5pt8VFxdj7NixuO222xKaMIreokWL2D2JiIiIiBIu7u5JwWAQHBZBRERERNR5cUwDERERERHZYtBARERERB2Kx+Np7ySQhkEDEREREXUoXq+3vZNAGgYNRERERERky9HsSQCwcuVKrFy5Muxzl8tl+Z14/fXXY0sdERERERG1O8dBA2dIIiIiIiI6PjkKGt54441kp4MSgC93IyIiIqJkcNzSQB0fX+5GRERERMnAgdBERERERGSLQQMREREREdli0EBERERERLYYNBARERERkS0GDUREREREZItBAxERERER2eKUq50I39NAREREnUFhYWF7J4E0DBo6Eb6ngYiIiDqDoqKi9k4CaRwFDUuXLo15By6XC5MmTYp5fSIiIiIial+OgwaXy4VgMBjyucvlMv4t3+mfMWggIiIiIjq2OQoaZsyYEfbZZ599hnfeeQe5ubm46KKLkJubCwCora3F2rVrUVtbix/96Ec4++yzE5tiBxoaGlBWVoY1a9agrq4O+fn5uPbaazF69OiErpusZYXX68VTTz2FzMxMLF++PLqDQERERESUII6ChrFjx4b8//PPP8fTTz+NiRMnYtKkSUhJSQn5furUqVi2bBleeeUVjBs3LnGpdWj+/PmorKzElClT0Lt3b6xatQoLFy5EIBDAxRdfnLB1k7UsAOzbtw8lJSXIyclBfX19fAeEiIiIiCgOMQ2EfuGFF9C7d29cd911pt+npKRg8uTJWLduHV544QU8+OCDcSUyGuvXr8fHH3+M2bNnY8yYMQCAwYMHw+fzoaSkBKNGjQoLcmJZN1nLiqeffhoDBw7ECSecgLVr1yb+QBERERERORTTexoqKyvRt2/fiMv17dsXlZWVsewiZuvWrUOXLl0wcuTIkM/HjRuH/fv3Y+vWrQlZN1nLAsC7776LzZs345ZbbnH2o4mIiIiIkijml7vV1NQkZJlEq6qqQn5+fljNfUFBgfF9ItZN1rLffvstnn32WUyZMgU9e/a0/qEm6uvrHf05evRoVNslIiIiouNbTN2Tzj77bGzcuBGvvvoqrr76atNlXn31VezYsQPDhg2LK4HRqqurQ69evcI+z87ONr5PxLrJWvaZZ55Bfn4+LrvsMst0Wpk2bZqj5YqLizF58uSot09EREREx6eYgoYbbrgBmzdvxvPPP49//vOfxuxJLpcLPp8Pa9euxZdffomMjAzccMMNiU5zp/XBBx/go48+wuLFi0OmrnWqpKTE0cvd0tLSYkkeERERER2nYgoaTj/9dDz00EN4/PHHUVNTg5dfftko5Mr7Gk499VTcfvvtOP300xOXWgeys7NNWxPkM6ndj3fdRC/b0NCAP/zhD7j88suRk5ODw4cPAwCam5sBAIcPH0ZqaioyMzMt05+VlcU3QhMRERFRwsUUNADAgAEDsGTJElRUVODTTz/F/v37EQwGkZOTg3POOQeDBw+OqbY8XgUFBVi9ejVaWlpCxhDIuAG7AdzRrJvoZQ8dOoRvv/0Wr732Gl577bWwtBUXF+P73/8+7rvvPmcHgoiIiIgoQWIOGoDWtz8PHjwYgwcPTlR64jZixAh4vV6sXbsWo0aNMj4vLy9HTk4OzjrrrISsm+hlW1paMH/+/LA0vfLKK9i8eTPmzp2Lbt26RX9AiIiIiIjiFFfQII4ePYq6ujqkpaXZdv9pC8OHD8eQIUOwZMkS1NfX45RTTsHq1auxceNGzJo1y6jpr6iowH333YdJkyahuLg4qnWTsWxKSgoGDRoU9nv++c9/wu12m35HRERERNQW4goa3nrrLXg8HqObzSWXXIIZM2YAAN5//328//77mDp1Kk499dT4UxrToqSVAAAgAElEQVSFOXPmoLS0FC+88ALq6uqQn5+PO++8E6NHjw5ZLhAIGGMwol03mcsSEREREXUkrqBeanagpaUF8+bNw4YNG5CamopTTz0VVVVVGDt2rBE07Nq1C7fddhuuu+46TJw4MeEJp+/U19dj4sSJWLZsGQdCH+M8Hg+KioraOxlE9P/jPUnUOfHebhVNGTKml7u98cYbWL9+Pc4//3z8+c9/xpNPPhm2TEFBAU4++WRs2LAhll0QHZe8Xm97J4GIFLwniTon3tvRi6l70sqVK9GjRw/ceeedyMjIsFyuV69eqK6ujjlxFJ2ZM2fC7Q6NA8ePH4/x48e3U4qIiIiIqDOIKWj46quvMGzYMNuAAQC6deuGQ4cOxZQwit6iRYvYPYmIiIiIEi6m7klpaWloaGiIuFxtbS26du0ayy6IiKiT8Xg87Z0EIiKKUUxBQ0FBASorK21bEXw+H7Zv345+/frFnDgiIuo82IeYiOjYFVPQ8MMf/hD19fX4/e9/j8OHD4d939DQgCeffBLNzc340Y9+FHciiYiIiIio/cQ0pmHs2LH497//jbVr1+Kmm27C2WefDQD47LPP8PDDD6OiogKHDx/GmDFjcOGFFyY0wURERERE1LZiamkAgLvvvhtTpkxBamqqMa3qV199hXXr1iEQCOC6667DzJkzE5ZQoo6K/bSJiIios4v5jdAulwvXXHMNrrzySuzYsQM+nw+BQAAnnXQS+vfvj7S0tESmk6jD8nq9fEEMERERdWoxBw0iJSUF/fv3R//+/RORHiIiIiIi6mBiChoWL16MlJQUXH311Tj11FMtl3vnnXfw2WefYcaMGTEnkJzjy92IiIiIKBliChrKy8vhcrmwdu1a3H333TjvvPNMl/v000/x7rvvMmhoI3y5GxERERElQ8wDoU8++WT4/X7MnTsXf//73xOZJqLjVmFhYXsngYgUvCfbByeYoGTjvR29mIOGgQMHYv78+cjOzsazzz6Lp556Ci0tLYlMG9FxhwOqiToW3pPtgy8CpGTjvR29mIMGABgwYAAWLVqEM844A//7v/+L++67z/Yt0UREREREdOyJK2gAgJ49e2LBggW46KKLsGXLFsyaNQtVVVWJSBsREREREXUAcQcNAJCeno67774bkydPhs/nw1133YV169YlYtNERNRJsA8xEdGxK+73NKgmTZqEvn374rHHHsMjjzyCE088MZGbJyKiYxj7EBMRHbsSGjQAwIUXXohevXrhoYceQm1tLVwuV6J3QRb4ngYiIiIiSoaYgoZ58+ahR48elt+ffvrpWLRoETweDwKBQMyJo+jwPQ1ERK08Hg9bNogoasw7rMU0pmHQoEHIz8+3XaZ79+6YOHEiiouLY0oYERFRrDhlJxHFgnmHtYQMhCY6nnFwJxEREXV2jronLV68GC6XC9dffz169OiBxYsXO96By+XCbbfdFnMCY9HQ0ICysjKsWbMGdXV1yM/Px7XXXovRo0cndN1EL7tp0ya89957+Oyzz7B371507doV/fv3x6RJk9CvX7/4DgolDZsxiYiIqLNzFDSUl5fD5XLhmmuuQY8ePVBeXu54B+0RNMyfPx+VlZWYMmUKevfujVWrVmHhwoUIBAK4+OKLE7Zuopd9++23UVdXhx//+Mfo06cPDh06hBUrVmD27Nl44IEHcN555yXuIBERERFRm+gMYyUcBQ3z5s0DAOTm5ob8vyNav349Pv74Y8yePRtjxowBAAwePBg+nw8lJSUYNWoUUlJS4l43Gcv+/Oc/D5umdujQobj55puxfPlyBg0Utc6QSVHb4LVCbUWuNV5zdDzxer3H/PXuaEzDoEGDMGjQIKSnp4f83+mftrRu3Tp06dIFI0eODPl83Lhx2L9/P7Zu3ZqQdZOxrNl7Lbp06YLTTjsNe/fujfDL6Xjh8XgcL8sBXeQUrxVqK3KtdaRrLpp8leh41ekGQldVVSE/Pz+sNaGgoMD4PhHrJmtZ3ZEjR7B9+3acdtpplsuI+vp6R3+OHj0acVvUfiI9vDrSg5aIKBnaeoIJ5qtEkSX85W7tra6uDr169Qr7PDs72/g+Eesma1ndH/7wBzQ2NuKnP/2p5TJi2rRpEZcBgOLiYkyePNnRsvFg03NsOmITJs8lEbUl5jdEHY+joOHee++NaycdeQxER1ZWVob33nsP//Vf/+Vo9qSSkhJHL3dLS0tLRPIikpobZv5tJ1mF+44YyBCpnF77yQyAGVxTLHjdJBePb+I46p5UUVER85/Nmzcn+zeEyM7ONq25l8+kdj/edZO1rFi6dCmWLVuG66+/HpdffrllmlVZWVmO/rRV0AC0fZOv036psfRfPRb6vMrxPhbSSpRITvOaROdJ6r3GLi4UC143yRXv8eXz9DuOWhqee+65ZKcjYQoKCrB69Wq0tLSEjCGQcQN9+/ZNyLrJWhZoDRhefPFFTJ482VG3JPqO0xrxWGrOj6Xadkmrz+dr76RYYu0PdQbHUr7Q3njP07Eokff4sX4POGppyMvLi+tPWxoxYgQaGhqwdu3akM/Ly8uRk5ODs846KyHrJmvZl156CS+++CImTpyI4uJi5z/8GKBH650heu/ov6G2tra9k2CJtWuUTB05YD5eHWv3fHvn7+29f0q8Y+0e0HW62ZOGDx+OIUOGYMmSJfB6vfjkk0/w1FNPYePGjZg2bZpR019RUYGf/OQnWLp0adTrJmvZFStW4IUXXsDQoUMxfPhwfP755yF/jiUejwfbtm0L+Uy/Wbxeb4fPFJM1k1Fb/u72OsYd/dxGcqymvz3S3RGPlcvlau8k2ErGMeuI5yGSjpzmZBfwIv320tLSpO6fzCV75q6OfM1H0umCBgCYM2cOfvCDH+CFF17A/fffjy+++AJ33nln2FuaA4EAgsFgTOsmY9mPPvoIALBx40bceeedYX+OBXIzeL1e490S6g0i//Z4PKitrY0rU26LG09PX6L2abVddfsLFiyIen9mtatOj3Gij2dHHc/idFvHQkBoxizdyU5TIs61WT4RD3kZaUeVjPujo9Zi2p1PJ2lu73sqkaIZA5OsluLOdDyTIdndhzrqfepEzFOuNjY24vXXX8eHH36Ir7/+Gg0NDZbLvv7667HuJiZdunTBzTffjJtvvtlymUGDBuHNN9+Mad1kLfvwww9H3E5HZ9b3T/1M/u31euHz+eJ6sEfTzzBR/QhLS0uTkqHIdtXM5K233sI333wTtj+7bhfykDFbJtIxiKXfZnv0z7TaZyL7ncaTqevp6Ah9WJ9++mkAHXsmM7N8ojOK5nroCNdOIqjnM9oCqwTwneE4AO17bcv1dCwdz0TfA+11T6nXvd0zvKPf8zG1NBw5cgR33nknXnzxRezatQstLS0IBoPGG42DwSCCwSB69uyJnj17JjTBdPyKp3bESVcoJ9tPVs2P2XabmppiToPZMoms3VBblBKtI77cLtZrTwo8ibj24lnH5/Ml7LiZtYpFm57jWTQ168dyjaSVaLvcdMZj0F7kWHb08T6RWmM8Ho+j/MZsufa6ntT92j3DO/r1HlPQ8Morr6CqqgqFhYVYtmwZLrroIrhcLjz//PNYvnw5br/9dvTo0QMDBgw4pmZeOtbNnDkTt956a8iff/zjH+2drIiFXKeFjXhvpkjrt/fNKsehow5ebqupJTtSl7V4C2+ynt36sXaFimadQCCA2trahBwfq98Uy2+wSk9HvQfi4bSgAyR3WthELh/tdmtra9v93Ca6G1y0+2zrbZit9+WXX8abnISKtmDv9Xod3SNOl7NLVyKvkbZ+y3kyxBQ0fPjhh8jJycHNN9+M9PT0kAFn6enpuOSSS/Dggw9i3bp1WLFiRcISS/YWLVqEJUuWhPwZP358eycrYq1GMgugZje8VU1pWzALDNSCqc/nszxesaQ3MzMzhlSaS2ShMFkSdS3JOXA6WD/eVrC2YNbaoKa7LR9okYKxZNaExlJotTu/TrcXbwEmHtGOzUrkOy/U/FbOq1xr7VGIUtPcVu+1ScR5j7fiQng8Hvj9/rjTkwhm+YDZuViwYEGbpUnl9XpRVlaWkPyoo7fuOBVT0ODz+XDmmWciNbV1SITb3bqZ5uZmY5nTTjsN5557LsrLyxOQTDrWyU0fT21nLDedWXOsk9rfRO3fLj1mGaZeAFFnoJLlopnGuLGx0XRbbSXRXaKsrp1E1+TV1taGBA6RtHcrlVN6sKqmO1I/Wv0Yy70cS81tsmrSra4Rp/2JrdaxSq9aEE60ZAarbfmyK7P8Vq61SNdcsguLcj94vd6IAUxbV4Aka39lZWVJ2W4szK5Ds8/asxzp8/nCnsuxtNypE79YdT0+FsQUNKSnp4e8VbhLly4AgAMHDoQsl52djT179sSRPDrW+Xw++P1+46b3+XzGoMxoOa3RMys4JKJJPN6MQ6fWYqs1PxkZGcbnMgOVKjc31/ZhavWd2baSIVkPO7ua2kTW5LVXN7G2KJRYBatO0qD3Ra+pqQk7J+3VGqUWTM1qVmOpUXYaLCar1rYjB6tmNcNmwaOT460GXfryyS4sqvs2G6itVnK19Wxq8Uy3ardP+c3HShBkd33E8xvasnVYX76jtPTEIqagoWfPniEnMj8/HwCwefNm47OWlhZUVlYiOzs7ziRSR2d28/l8PmRkZKC2thZNTU0hN4kUXtXPEpmBJaIfoxU1zYkqqPp8vpCaB7/fH3Hbdg/T8vJy+P1+43eoLQyx9m3u1auX4xpVedjFUgObqOsglu2otY7toS326/f7Q2oa9cDILg36sn6/P+SzioqKmNKU7Lnokx3URFNr6OSeiGU8gfw7mfec1XJqwKYXsCV/E2aFpUQUzBNJTUMiJhCIVLMvtdBWn0klWDSVGE66VVoF0sms9InE7Jml/u5EjKNyum57TezQ3mN+IokpaBg4cCCqqqpw5MgRAMAFF1yAlJQU/OlPf8Jbb72Fjz76CA8//DB8Ph/OPffchCaYOh6zm6+2thbBYNDoStPU1BTy8JBgQi+oJfNGdfpAtcpMmpqajKmFE1HDIb9dzST8fn/MtRAejyfkeEst6N69e+HxeBAIBGKuIfnmm28cD54z+12R0q3vT/8cgO14D317sTxMampqQv6fiCZkp8fCye9KRFcN9T5Uu2DFcj0HAoGQY3bw4MGY0qQf91iovyXRormWCgsL4x7/oBe0naRLCqZm23dSeHRy/p3k0VbPAtHU1BR2X9lVkiSrRtbuXlJb40Q8+X2kc1laWhryvig9/5JKsGivb6eFdLOCeKKfw9F0W6ytrXXcKu70GVNYWIhf/OIXIZ+ZnWc9LbpEHZdAIGD53c6dOxOyj2SJKWgYNWoUTj/9dOMtxSeddBJuuOEGHDlyBH/84x8xb948fPTRRzjxxBMxderURKaXjiFNTU3Izc01bhD1BpcMUM8I463V0ful6oGK1XJO+P1+47fEW8Ph9/tDCsGyXbOHqlmNolmB1uv1Gu+9yMjICFnO6/WipaXFdJtORfMA93g8jgvdak2cWojVa6CtZl4xm3kjlrEz+u+LtsBi1eKm/m3FSUDmtKuG08DKbJyP2XJW2w8EAsYxiqZ2TN9mU1NT3IMffT4fXC6Xo98ey7th7H5fenq68e+ioiKUlZVZds9xek2pgVS0XXzU4+Y0gI40EDXa7dlRW0GB1nFXcr/q50+vbEoUs3tJrdE3K0hHk45I50z9vqamJmQyGRl42xb93mPp7hnLs8PJ9uT8+3w+43lo97wDnFcEFhUVYePGjWFdz+LtZqRzemzsgoaO3nUp5paGRx99FMOGDTM+u/LKK7Fw4UJcddVV+OEPf4hp06bhqaeewkknnZSwxFLHtmDBAtPo3e4GEfog3Vgjen1gndnD3ufzoaioKGKGoxdaZMC/uh0gtrRKcFBbWxsSjJgdK3XwtPzbKmORNOlvOtfF0iVEz8jtOOnrLYGbWWAnBX8nzAa779y5M+4MvqWlxXQQXKR0REuugUSxS68e9EprsRWv1xtSQ7dgwQJj+3KNWdXyWx1fs2tPrcWW9d566y3L7ZgFFLm5uZZpUY9JXl5e1F1y9G2q60uALtT7VJ/kwKzwo1cK6Ms5LdALKRBHW8B30kXI7Du7GlsZ0yYkwFKvgUAgYBwzs1nl2qq7RqRurdGMaYt03NXv9cDI5/OhpqYmIXlCMrp7WtXAx7ovr9eLbdu2hZx/yaekQkk/FrEGkrHm0VaTj+iVA2bjqVQdveuREzEFDVYGDBiAqVOn4pe//CWuuuoqjmdoY+39noby8nJjcKRKChd5eXmmDxAgdJBuImqz7Hz55Ze2fUQlQ1JrozweT8jsYEBrBlBYWBhzWuVYyAxHtbW1CAQCaGlpMf4tD1T53o4UcP1+v/Egcrvdxhz9etrldzkVCATCzo1djX6kYNFu5pRYHgp6N69IrB5+ak26WSE0ngekmerqagQCAWzfvj3ubUUajKqfEye1mRs3bjT+LeNl1O1ZBapW94XdfScFN7mGrbaj1xSraZLt9+rVy/i/fg6dBs1mNcwejyemyRysrmn195WWltpe+067jsh9Gm0/eMB8OmjAPP3S+mcV2OgBkNSom42PAUJbnSJVkMRCvb/N7g89XXatUuq5MDsn0bQ2qJ+p175ZmqIRbcAZadwK8F2QqAcS8TyzrbojWd0LySh82+Xrubm5pt/JNRCpxUbydp/Ph8LCwoiVeh1ZQoMGal8d4T0NUgCWyFy/udUpQIHWWjonXZTiLaSpGXF9fb3t4DSzbkxerzekwCUtI4l43btsVy2sShOtWYFfbb41S7f8zl27doUFHkDkWiM7+vLxDBRcsGCB5UPXqlZW9ilkvUQUuAFnLRxWD8hYa78aGxtDzrPTa93qrd9Sk67Xdjc1NYU9rGJ5eKn3sFyHem17JGa102qXnKamJkctlOryKo/Hg2+++cbYl75vJ4UONVjXa/7NCjmRuvXohV+zLpI1NTU4cuSI5W/X7zf9npd8V4IdvXuc065O27dvN60gMFtWZ5cfmAUAbrfbSL86vkHy2Hi76ah5jHp/yzNALxDLvtUxYlbMWpTMap2tjlNhYWHIuS4tLTXyg0AggLFjxxrnUe/WFYle2RRtNzX994ja2lqUlZV1iEHrkQJKJ+88Us+X1W9SW8LMusNG2oc6IYzZLF3HkriChsbGRmzevBnvv/8+Vq5cafmHjk+5ublhza7qd42NjfD7/aipqQnJOM0GvNoNwnNy86kzOOmFaDtFRUWmrRKxzIKiNrdLK4ue6eldoMwKdfrxUqm/UQpe+jalJlfPONVCjFmtS7QFTLfbbVs4Ky8vN86rWRBnNbuWuk2pMU5EzZN6TO0KC1b7ks+jHS+jd02zC2j1ml+zaz83N9f0QRbvmA3R0tISsl99djQn9NpptQ+3z+dDenq60bIFRP+Atcovoulupi5XX1/veJ/6uvKdXvjdtGlT2Dak26LZ/W2XD8kEDbm5uSHjTNR/S6HZrisR8N2sWBJ4SF6gz5Yly8r4LJW6nLTQRuo2pwf+amAWz0vgzAr2gH0e7vP5TF/qZXU92o0POnLkiOV4uqKiopBzrbYwBwIB3H333cbnMrlFJHq3rki/M5JIFSROu5GZ7Us/507zEmlJ1yshdWqa1ONsNomAk+1I8GBVrlHpx62hoQGNjY3weDxwuVwdIuiKRUxBQzAYRFlZGW644Qbce++9ePTRR7F48eKwP48//jgWL16c6DRTByYFVJ+v9QWAorm5GX6/P6wAC4TXKuoDXiVTkloo+b/aCqAvayXawoc8aH0+H4LBIFJSUuDxeIxBoE77taq1dj5f63S0LS0tRkEiPT0dTU1NIcene/fupum2q3mTB7RaELU65mpm6fV6jQBJ/m+XqakFVruHhd1DSf0d+nL6g0NNi1qgr6mpMfYfzUvvdHJOhd4tQX9IWHX3AkJbn5qamlBYWOiotlRtcTKrCQPspxyM1JVE7Q4IfNdiYHcN6zXUcl7Ua0cKrE5ZTbsprRU1NTXGvyUojHSPWwXRep9oq643VvQ+1oCzLhNqLa90iVG7N3o8nrDujzrpyiCsAsEFCxaEpE/tI282NsJsO2qeq+bH6rs4Ghsbw1ou1LFZqurqauPfwWAQhYWFRgupfh2atajqY0YS0aJrR0+/VCyphUW10K5fj3Z5oJwDCb7kt/h8vrBB6yq9ksasxdiscqesrMxynFRhYSH8fj/S09ONsRORAgdp8dH3JeuZjSkzo0724PF4jPFRerdS9XgB5vm6BLBqxUIkdq13dtRAxiwfsTv3ZtfVkiVLTJ/JwLHR+hBT0PDSSy/h5ZdfRnNzM77//e/jyiuvxKRJk8L+FBcXY9KkSYlOMx0D9AGWwWAwpLYumqkBJVOSQo4EDmYPErN+uUDrg8ftdtsWhKUP9JEjR0IKz9u2bQvJgKU/s1nNj1VNlNl+1Uysa9euaGhoCPls0KBBputbdQVpampCc3MzAoFAyANHneVGFU3XAn1ZqSnJzc0NKSAAMGoeI3UvkTQdOXIkpHAjhWyr9dUCvVpAsivoA9aD0jweD8rKyhAMBi0fAOrsJvL7rArp6ufBYBBFRUURa8/cbnfIOVPPg1U3B/33lpaWGg/42trakFq87t27h103TmYC07s2yD2opiMQCITc71atgfK5HkBJOqQgo35vNh2rGrBI4cOq0GxWeDbbjpVIg6rNahzVaZN9Ph9KS0tRW9s6BXUgEAgbB2XWxU9a6awKy+qxLC8vDxmUbtal0W4b+u9QC/HqcVODWgmG9MoeoR9vuQdaWlos8y+zmmCzICNWkWrcJf16ARFovQ4bGhqM+96uZcGMVHjprVHqufN6vTh06JDlNmSsm7pfs8qd6upqVFdXm848VVRUhKamJuTn5xvnV8b4WZEWH3Vffr/f8RTcsm11unKv1xvywlegtdVBZvhTn9WSz+nPVgkm7O5jWUb9fdG8cwgIDWTMAmTAuuueuh8JFGpra41/mwV8HV1MQcM777yDrKwsLF68GHPmzMG0adNQXFxs+YeOH83NzdiwYUPIwDZhVnOizhxkdcPotRFA5IxafYB7PB6ju4PQC3EejwcVFRVYsGCBEQxIBrF3717jdwQCAezduzfst8jNb9ZPVk2P2b71An4k8hDVMxx5KOvbUFs09OXNtqMzq0mTjDwvLy+sZkiOm9M+6XqTtBSUolnfjF7gtDonXq/XmBtb1pHv5KGjBypm25NBnGrXGKldtiv4uN1uy4eIkM/V36TXwNXU1IR06VDP2aBBg6KeatTs+goEAkYApQZSTU1Nxv/N7k2v14vS0lLLVgIpaO/atSvkt5l1P1CDVLXwAbQGoNLlMRK7goPH48GhQ4dsC3FAaO2pXMMNDQ2WhYxAIICioqKwrkNO6AVGM2bBem1tLfLy8sJmqNPzWzWPc7vdYX3ihfxmfZyXWZCuBpPq9lWS/+lju8yWjYc8RzIzM43P1ABGCtrquZNzVF9fbwRSXq8Xu3btiqpLpHqv2JH8wq4raKSpiNXfIC14aqDT3NyM66+/HsB3957agq9Wpqj7UsdWSNdi9TtZR0+jVLyplRR6QJqeno49e/YYy6g18XrFhdfrRXp6upGf2d3Hubm56NWrV0hrSEVFhWUhXx9XVlhYGJZ3S94iz0WzSgo13Xb0FqtYx8W1pZiChkOHDuHcc89Fnz59Ep0eOsbpLQqRaljtuqhIxuPz+VBdXR3WpGfWNKt/b9V3sKmpKaQWQrogSQFEWhfMbmK1m4F8H+ktyGp/96amprDaNr3rlt5/2OfzhRUSo50ZQ0gNtFnh16r1we/3hzz4rAbhCtl2LHPiq+QakP1J/2D196q1uoWFhWGDQ83ox0sdiAnAKCyqDya7Yyx9yfUWAqt3EKjU866fU/n9UsDTAzSz3yD/1gtceXl5jgsvkhb1/jUrwFsVbszSV1tbGzZrkXS/kYKOft2YFRrtzqv8bqtl/H6/UZC1y5u8Xi+am5vDuhSppJ+/+kJFPc1qq4PL5TLOtRRQzdIhLRLCrEASDZ/Ph9zcXOzduzckH5LgSx8XEQwGjXTqs2Opv0etMTWjXz9S+KqrqzNdPtIUvokg/eDV+7y2tjZkjJ1Kgr5gMBhyrVu9P8LqXpffbjaQFohufJHT97Wo2/Z6vUZhV1o/ARiVTD6fz2hBVytT3n77bWM7EnTJPaZ2DZIpYiX/Uqf9BcJnR5LgQ46LdNcFQitY5Bncs2dPIw2yvBX9+MqECLK+z+czrQyoqakxjpE6bqFbt24hE7bIuZJl1O6ZVoGCtJip94vZuM2O/o4GIMag4dRTT426HysR0Hqz6ze8dM1QC+nS7A581zyYnp4eclNazeCgZnrS5cGuv7vZNvbu3WtaYNEfHtKn3mmtk2TWaubgcrnQ2NiI5uZmuN1uuFyukIeSBBAysNzv94cV1qymkDR7qNulVWoR1SnigPCCmtTKmD04W1pajN9nN7+11TSjaqb/1ltvGTUwUhjUp/WVB9iXX35p+v4NCS6lD7HH0/riOLOCpZxz9aEi8//btW7J79Rrc4HW6zTSmAar93PIuwrUt4RK+s32JdQWPPUYu1wu49zYFfiEXeFb1le3YzbOSCXXlxwvq+43Zl2AnATGZkGM5B0AjPtMn9bSbv9C7Zoh/1drPM3SqAcwcqzUAEz9Xn0Bo9UMdFaDO4HWoNqu5VKOpXRTUd+7YXYNWk3Rm5mZCZ/PZ3sNqfehWvNsla+q7Lo6xUpv9Th06BBcLhdqamqQl5dn5CM6s1ZieV5F0wJeUVEBn8+HJUuWhOWr6ngR/e3Q6n7jIfuScXlCWlDUgr2kRSoA9dafYDCIlpYW4/dKwG9WEJZ1gO/e5WRHDdQlzd27d7cNJtUKRCddfPTp02VfagWU5PmHDh1Cenq60QoKhAYtkVrDJF3SRVqWN7uvE3WtJ1NMQW/6RsgAACAASURBVMNll12GL774IqwvM5FOb9oLBoPo3bu36bJqU75ewxkIBMKmZ62urjYK7GomeOjQIeOmNsvYXS6Xo/cf6LPa6LW0GRkZRkZpl6nbFXbUzEceFm632zhuEkAIyVj0tKjdgVJSUozPrR7qVrOz6F0m9AKF2fE323akjLS0tNRy8KP64G1sbDRq7I8cOQK32x1yTgOBgFHQ0s+BPBgkuKytrcXbb79t1LqZVXwEAoGQLlcqq1pC1d69e0PGFQDWU+Tq+5VlVZJGNT0y0NFs2k+z/ag1bWptrtm1oQ68Vc/Ntm3bQsZdyKB9tfYciDwFsTrLDwDjxXH6NbNz586QtAKR360gy6kPZvnNcp9JLbrVw1lt3ZR7TAqbekFPlpFjJoMchd7nXyU1vOoyZoPxrQZIW5G0SZrV7ZmlRa21DgaDpl1f9PFpgUDACHrMJlqora0Nq+ApLy831rHreqM/L1JSUhJSYPZ4Qt9QHwgE0NzcbBT+1c9Vbrfb+P16XqwW9FVqNxfR1NSEgwcPGnmXfC/3g9U4lEcffdRYXzg5HnJOzK5zGS9gVqEjv0dq3OV4qAVmq0AUCH+WyneyTnl5eUjXPLP0qV2rpGutdI3Kzc0NqSyR36mOt9ArGczOB9AalFsNGDcLWu3OgdU5OXLkCLxeb0jLndXkJE6eEx1BTEHDpZdeih/96Ef4zW9+g5UrV2Lfvn2JThfFoL1e7mY3HV5GRkZIAbexsdHoT+l2u00jfiB08K5eoKioqACAkMxELWjW1dUZmbPc6PpsHmbN/7KsfkNbFYLlASe1LFYDQM1qn9QHsdqnXTIUvTVGf3CraZT9ShrV4EP9Wy/g6AVVq2kqJfN2u93Gw6SpqSmktlRdJyUlxTbz08dIqAMB1f7G6m/Sa8f1h5HZmADZrtkAVb37jlqQUa+P2tpa1NTUoKmpCdXV1WFduczOuRTmY+mbrT6crdbTH+gqfbCkFEQlLXJtWRU81UK/uszevXvDrkmpOQNaj5nM9mW1bbX1Q2zcuNE43motu16YMGvNU2vJZb+S10ghzG78kJny8vKwc3r06FEACBv4WVtbi4aGBmPWMb3gp9/3arcfSaM6LsBqLIgdPa9SC4v6b7cKTNWXbqpBhLRo6oVtPRBRu5TJLEkZGRmmwUYkeg1uol6Cpdc+y7Wm5gN6vilpkN9nNiZP7+pm1gKrBj7q/tR/W1XuHDx4ELm5ucb3Mp7AjpyjjIyMsIBIHbdg1nVUxkDo72KRljmzwrFVfuTxeEK6RAHfjTmSikChb9ftdhsvvZTATroUq5UldhUA0n1IzoceIAaDQfh8vrDrW5gFVer3TlrD9C6L+t8qs/yxI0qNdcWioiJs2rTJ0ZSqr7/+eqy7oSgsWrQIWVlZbb5fq9rFwsJCbNmyJeQzGQgo/SclM5GHfV5eXkhXFPUB3tTUFDZmwow6pZy6LmA/5kAekmpBSK2xkxpM/eHR0NBgOTOTPqcz0BpsyG8wy4TN3uGg9n/WH9yyX0lXS0uLUQMcCASMQrzb7UZRUREeeOAB4zdt374dBw8eDMkg9elNJeCSDFr6caqFvCVLlhhT7Mp+rR6EetciNS3qw0qtMQ4EAsjMzDT6mVvV7Hi9XtvZpcxIzZUcJ7XVRh4q6u9RA4qysrKQgdt6LbdaU+mE3+9H165dQz6T66d///5Yv369cX3rDxg1zfJvKSzJYFhJ39GjR5GRkWEE7TJzmJVAIHwWm+zs7JAH3aBBg0IK8vpD12nTu10XETU/UAu4brcbubm5OHDgQMg6sk8ZDCrb18+TbNvv9xstGnI/yd8yqYKaRrXAr1dGqNQKECfcbje2bduGfv36WR63wsJCrFmzJiT9brcbLS0tCAaDxr0k3euEBD+SFrMZ0ADzMSxy7CQvBr47Pvr5lnFQ6nLq/634/X6jj7vaahoPu4korO6jSCSgUiundu3aZdy/cszVSjM171a7mZrllXKs1EHsTU1NRr5rVvBXW6vS09NDWlPVIFVq7c32bXV8rAq1TU1NpmN/ZJpefdvqMTBrEXG73UhNTTU+kxkBgfB3ieiBkU697qWlSJ4PX375JXr37o2DBw8axy0QCBitbep9Y3YPWlUKmc3sqFaCAuEtah6PxzhWTrqNtqeYUvf5559j9uzZRkaTnZ2Nnj17Wv6h45ta0y2kYCZdhYRkZGrts7Drh6zfwOqAR6E3mZutr9cMqA9HtduQui+zGjy7JlupoXW5XEbhz6x/uJrhSq2IHC+z2SUikVp8vbbErjCXm5trfK8O5lMDBqumdSfUa0AeAkDrMVJbHaTmTB4geuCongd1PIJZdwv13KgzVqjdb6SAow76U/elbkvvH6w/WKUrjx19ELxKjm16enrIcdep+5WCo9ksQnJfqNey2oVJJedDD4SA1hY9KaQKKcib9deVgNusP7DTGcSs3lVg1lVK357av9rsPEk3OKuZl6TQJf82K6xYpV3uZfWY64Vn9brMzMw0alTVYEVVVFRk1J6aTfgg+YRUxMi2ZHtqWs0Cbf3cyPGVLoJ6gVBt8VX7/utcLpflWCep5VaPbaIKUZKWxsZGIxgxO19qy6/ObHk14FJbXcwqqGR9GUMBWM+spLaq2gXSQm3V1oNatSuuGnTIOTWr6ZexUJHGyKgVaU1NTSHdhKzyK3WbeuDjdrtDJtmRMUlqK6p0DTOrPNGp+Z16XiUgU4OpYDCIt99+2whK1PtGbylUqedVvQ/1wfNCvd8WLFiAsrIyYxtdunSx/T3tLaaWhpKSEjQ2NqK4uBg/+clP2qV2mzqe/v3741//+pfxf5kNQC9YAK21B5JZtrS0IDU1/FK0ygzMHkR6/3Gp/VAf0nqTuZpZRap9knRK7arZcrW1tcb2pWY30kw+GRkZxnR+QGthQWpD5LOMjAwcPXrU6CusB0NmYyr0IETt8iS1xpIm9SGi/q0GKQDQp08fVFZWhv0Gs1aFaB70qampRhcQ+R1y3syCAzn/UpCSNLpcLqN2WWqS33jjjbCaeynAut3ukMxaP+fp6em2BTtJr1nLiVl6rWRkZITUCOrXitnAd50aHKkPJPW62LZtm3He1WXsJgpIT09HdnY2vv7667AuYvpgfp20XqgD2YHWSibguwKMWvustgCYdXMzC04lsKupqTECe7Xms6WlJeReFNKH/+677zaOn+QdZoVoNQ+z6xYhlQGynGwXCG3xAEK7VKnpU7uISCum3+9Hnz59wloFZDm5rlNSUozuhLIPvV+23fgQuxm29AKk2sqgXkeRWpV+9rOfGf+W9Mog/UAgdMyE05p/p1paWpCWlhYyPbVacSATUgg1aDKrIDGb0Uy93szyx9zcXHzxxRch+1CPmRTm9e6GTgNqCSZlv9K6JAGxTDoSDAaNihi9W9aePXvC9iEvOFWfGWqrgdOZhFR5eXnYs2cPvv32W+MY6612+rNbnWxDr+WXv9WKwK5du4btV88Dhd/vR3NzM3bu3GmsZ/U8k4ot+T7SbIGSv6mTM+izYakvde2IYgrhd+7ciQEDBqC4uLhDBgwNDQ149tlnMWXKFFx99dW47bbbsHr16oSvm4xl40l7e5J3Iahkejv1c6ubTx5U8uDRWyCs6A+nmpqakAxHfUOyvETM5XIZtV1SWFC3Y1ZYVGuhhVkGoW5HZsuw6l9s1rqQkZGB9PR0ozVCLUSpBTv92Oi1fuq21RoWyVTVgrRsq6amBoFAIOSdBdXV1cYDQmaO0guYkkb9IRFrjYm0OOgDUHXyQjZJm5oGyZfUcQwqOf524w5OP/104zzIfuShK+feqj+s7NvqO1V+fr7p52qtmp52nfqSKKvmeulrrkpPT7d8SZMcfxms3NjYGHJN6jV3+puvP/nkEwDhrQN6LR4QWlCVfci21RYn6ec8duxY4zMpWOovR1QdPHgwZH+ybXlgy99mNaN6IVpq7+3OqRxns/xOf8FXMBgMmwlL7QoieVhTU5PR8qcXJKUl0ixfkbEX6vsQZL9mhXurANWq+5XL5TKmHAZCx1/JsVOnnQVCu7RKK5G0Qpl18YuHemz1618dbO9yuZCZmRnxuWPWlSsjIyNs3ITkEfo1pXfrkmXkGKWkpCA1NTUk39ffZaGymtBDbeGUbZsNQFbPq9U4QnXfer4urbL6b7XKh8wqAtQuwXJ9Wp0H2UdDQwMaGxsRDH73Uk71XQ5WQYt+LPQ0yP2k9zpQyXcHDx408iqzabylIku2Y1bhom4PMO8W2JHEdDdmZmaiR48eiU5LwsyfPx/l5eWYNGkS5s6di/79+2PhwoV47733ErpuMpaNJ+3tSW5WtQ+q3PiSUUumLMyagWtqakIK43bdXsy6CKg3upoZBgIB4+GblZVlZMJmc16b1TJKP0uV3TSuQGuGAlhnnvLb9Uy4T58+Ri2R2+02atvV46IfN6lplz8AMHToUOP4y3EoKysLqSXVu8Wox1QGeAspaKjpUPvJq111WlpaIr7JVa+FVWv91K5okbqUmVH3bTalpT7wWSXnVWpD1YeGWpMmx0kKJeqx1GdrsaMOdJTt1NbWGoUT2b9ac6nWIsbK7/fj9NNPtxwjJOlXx2zIPSXXldxTMl5GfxBbzTYlAzx1ag25/K0+RKVV7rzzzgtpKZNrUGZbUVvW1Ae3dDEwGzck9EKCfn00NzejX79+ITXtVrXPsr1I52rv3r3w+/1ISUkJGzOgB+Tp6emorq52NAWtWT6hFuyspk7v2bOno0HI+iQXQOvxUfehzjqktxLq6VSva3VQezxkYgzZvlkQKNRgzyr/0vvfA9+9zVw9Znl5ecbvtDv/Vq208rvt8n3gu2tPD2YkLfLMdfKOFrWFTj//Zu9RUOmtNpHGEco6+mBkdf96mtVgWg1s1BmS1OeX5OVm4wPlb9mHHFuzZ4T+G+X5pLaI6UGjOhOhlIvk2KWnpxtpO3LkyDH1CoOYnjrDhw9HZWWl0aWgI1m/fj0+/vhj3HLLLbj00ksxePBg/OpXv8KQIUNQUlJi2yc4mnWTsWw8ae8IzObtllo5IHTqQ6A1M1MzXaD1Ru7Vq1fIzDdqX0K9CRVozVStBpua3fj5+flGwcwpPZBISUkxnVdbpfYVDQQCRncNdVu5ublhmbD6kNDHBEmzpn6cpRVA/VwGm6u/Qc6RLCsPicLCwpDrS1o7VFLjpT4E9N+udveR7VrJzMyEy+Uy9ivrmQU0aqCj10oDsB0wqaYnmgJIUVERjhw5Era+2+02ZlRqbm4Om/o0GAyazhVuVcjTj5HVg1Q97lLr7zQwkeBOnYq4oaEBubm5RqHU6QsC1WvSrGuAyqp/r9/vDwm6pbZZ3a5a46cWOoPBIEpLS237vcu9J/eWXnMtx0GdYECfXtjsOtO3BZjPPa8W+OWaMeuGpOYPMqGCy+Uy0qcWCN1uN7766itjqmf12KrXv/rCLL2blE6vYZZt9evXz3R5/TdKN5rCwsKQbiqR7jM17eosXCqppIk3aFC7Yqr0wiLw3fWQk5MTcvyEWTrVijGg9ffoNd/yG9R7wGz/kl6zPF5dVh+r9Ytf/AKNjY0hNebS/Uoqr6QrkqQnmjE5OrMARG3ZUlmNEVKDArXQbBfc6OdRPUYSNElLnB4omAU7eqBnRdYNBoPG+ZEARo6zPgW5PGfV8RBS9sjIyDCe87IdSUe8L0RNtpiChilTpiAtLQ2LFy+OOJNNW1u3bh26dOmCkSNHhnw+btw47N+/H1u3bk3IuslYNp60dwRmTYput9tylga93z7QmmlJtwZ1ijSp+VG3r/andVJ4ktp4Kayog5xUVjVJ6oNBCo7qttU0yTLqtr755hssWLAg5Dep0x2aka4hwmx2HZXUKskxVwtNal9JvRtAUVFRSI2o2QNTtqlmjDU1NWF9Q9Xgw27e/m7duplm2EeOHDEKuWpfd/WNtXIs1MGZKrNuQ3pQIvsSahc5YTaeQM6rmtH36tUr5No06ypiNX2mHCPZv3pfyLqSFvn9coy3bNniqLCvPqDkGASDQSNg0actVqnbd7lc6NevX8i1IWMP1Bc9yb70bkgAwu4/q7QKOQfqfSJd6YRZ66CMAQAizxDT2NgYUlOrf6+2BkqFg11rpV2hSn53SkqK0W1Iggv5I8dXrbUNBAIhU/Lq89XraT569KhprbpZ2vQASQ1kZapmsyDKanCo+lmXLl2MvNdsWSmEye/U0xNv0KAzy3P0GmlpSdKZtdyo6wGtEzHoU646oY+/U1vlXS6X0QoFtL70Urqq5eXlYePGjUZlg9rPPhAIfbmg3s0p3tZKfbtA+PTg+kQaap5u1pqknx+rwfSyDXU/6ng8+dsuKJAgy678EAwGjS6kUvEpebQ+0Flt8VC7Fco9nZeXZwTDZpWWaiVrRxXTFfPXv/4Vffv2xfvvv48bb7wRv/71r/H4449j8eLFYX+eeOKJRKfZVlVVFfLz88Nu1IKCAuP7RKybjGXjSTvQ2nTv5E8yW4jk5td/Q0pKSsiDVwrvamahzpAgmYJ6M8uNa1cTYVZ4UDMxvQCp7kMyIL0bkgQ++ttf1QFzkVqB1Mxe9if7kf+npKSEFZjUQvf27dsjPkDz8/Phcrlw6623wuPxhNRomM1SYUedR1ynnh+rPvmRMj+9n7OQ2mT9XOppiZTRR9qvXgPppPle1tPTZjb7kFn/cjtqgFpXVxf2vVlfV30gtnDyW1JTU1FUVGQMQDUbKJyZmRkypa9sVw1c9a4cks76+nrjIaoWgPTg0+0OnSihW7duIWmUmlwJGlNSUoxrUw+Oge/eOt/Y2GjMpKUXDPRJAPTClX5tyfmWljqzgEc95ur1J7XGqampYRUPeuFNvcbNzqG6vAxUleMv3bLU7hd6twcp6KiFXL1gJV3NVEVFRSHXp9otTQJG9RpXtyfjBOwKRBkZGcb7DNTCWKIKtZGoXQTl7+bm5rD8wWpMhMqsNlx9Wae+rtoypE41qu9LHW8hwUJlZWVYvt69e3fj+Wt3/KTgK8GIVV4v21LzfLfbHfaM1ytl9ArB008/3XS7avrVZ6J6rOwq1tTl7F44rAcvKrvtA989y9RKUMk71C7BwHcz6undq+Q4pKWlGWnVp7puq+s9HjGlsLy8HP/6178QDLbOY79p0yasXLkS5eXlpn/aUl1dnTE7h0o+M3sYx7JuMpaNJ+0AMG3aNEycODHin+XLl9tuJx7p6ekhtfkZGRkoLCxEZmYmevfuHTJ9oN6XW51mTWXWv9Sq24tZhqA+4NRt6vtITU1Fz549w75LSUkxfk9eXh5SUlLQs2dP077KKSkp8Hg8YYOW1Zo0eVjoD4VItQxqS04gEAg7Bi6XC9dffz2CwSCKioqMwt71119v2r0iLS0trI+xPpAtUpCifi+ZqWSUds2saiadmpoaNn97TU1NSL9zq3TIw06+l+5EVuNSVGqfd2l5cVIraNYKo45rkEK42+2OasppSZ8erJkFuiqzAqzdwEmVPNzUt9uqLQtWA+x1ahCh9gmW86xuRw9O1MKaWiAPBFrfzaF3X1ODepk0Qf3NMuOTOhZAuv+o27GbbEHyHL0CQW9NVV/cpXaVc7lcxr67du1qzFCjXvd6AGFFH4As17hae2/VF18PQuT/+vnQ5/PXj4W8A0JdRn0XzPbt2yO2OLjdbvTr1y9sObUl2mzfiWI11at6PaitlupxzMrKMmbF0rsOmb2R/siRIyH3pfpGcj1N6nWgBsy6SBMmCBmcq44PAr47lnZjOgKBgOlEF+rfwWAQXbp0sTw3wWAQY8eOjTgGQu0pAHx33wD2rf86NeDWX0on1LEEejlDb93T6S1sgwcPDtu/2rXI7/eHTNKhk65NTU1NxntW9ACyI4tpytV58+YlOh2UACUlJY5ms5JINxm6du2K1NRU9OvXD1u2bEF6ejqKiopQWlqKvLw87NixI6RmVH1Q5P5/7J15fFTV3f8/WQgJMSyBGbYEgiCKEMSIlVpAEXTCUnEBITyJS3FFax8VS4v4VFCCPLRYLCAULcoqRSsPuCSWWEC2IrKr7EJBgWGTBLKSzO+P/L6XM2fOvXPv5E5mMvm+Xy9ewJ27nHvvued89+NwYO/evT41kcVkQ7JCZWZmYsKECYiLi/OpPCIiTmyiRVMc8MQylNRusX0yLVu2RMeOHb1i2cVkv0WLFsHhcODAgQPK8CuqDCRbScWBUVwfQUVVVZUy9CczMxMvv/yyzzZa0A3w9aRERUUpY/DlZEYRepbkEgeulBn0FyNK8fr+YlfFuHN6jjTgym1RhR5RaUA5D0MWTDweDxITE72UcjPKg3ieM2fO+LjKSUg6ceKE7oJzKqj/x8XFoaKiwut5iuUOqQ3iglJRUVGaZ01vZW7RWi3HXAPVcdjUt8R2q56JnuAgvjtROQOqLWxiWVK90BW9iVwVCihWnpEXM5Pvj7wX4ngg99mqqip07NgRx44d8wnBVZVeFZ8TKY2Uh0CLzlEIEe2rJyCQ8eD8+fPafVVWViIhIUGzfqsEb+q/8nfldDpRVFQEj+dKuUy6f/LoiWE2KoPKwoULtf6oCg2RyzWL15a/V1EozcvLQ05ODqZPn64teqkqv10TVOE5oreE7p3KvsrCZkVFBW666SZs3rwZhYWFmlfEyPNJoTKqRFwV1I+oT4hraxA0f4ptJuVE9CCpFH16ppcuXUJsbKx276S0lJSUwOl04uTJk17lYMVvXvxeqMKg0+nEuXPntP3o93HjxvkYJ+X7kUutU7lxue1yGKIcKUHfFV07Pj7ey9BE90jnFu9P/L5SUlK8yuDSuWREr7IcRkfvSL5X+Zuidy3vZ2WeCBUBqfHp6emW/tQmSUlJSos8bVNZ8gM5Nhj71qTtQLU1xMyfYCoNgNoiYiZOjyznYrgOUP3ByQM80bBhQ59EVMA3PEAlFIjnANR150UrNrVxzJgx2uQoWpKp5COFZMgxjwC06i4AvLwx9IdwOp1eQoU4UVO8vxVEoSAxMdGnFKk8eF1zzTWWw2uAK6FgRgoBlVQ1k4BGiJZfWXgl66DsRpeFGllIM5rI5YpWopCrKp9rJJwDgVmQZCukqEjHxMQgMTHRqz8RpJCJ9y8q1lVVVYbhdOJKtnrJxqK7XoWY4Csn2ZaXl3sJ4mZix2X0PATx8fFehRfk/ei5iddQLQBIYX3yt0r9W+4DZP0X+z0JBuLYp4rZF/9NVmxVSV8xqVkOa6JztGjRwqdtetV3KCxFVLhIQRfXQAGufLPieWQLdVVVlU94CCVUix4QMclapaDKHtyaehvEcEQKfSVvoWxFprw5lSGKFA29pFoVYtlkul7Dhg21sBS6t4SEBE0YbtGiBRwOh9d7k2P/6fuVw+zo/YneSTJUqTxbsbGxuknX1C4ZumZqaqqXl0h1DnkMkZHDCmXonP4UbfmaqjFR/JsMB+J+oteSoPcmJpgD3t8UhdOqPMKklIvfGR0r566pwpPDkYC+xt/85jd4/fXX7W6LLaSlpeH48eM+kyLlA7Rv396WY4Oxb03aHk6oFARSCPQ0aafTqZs0S7GcohUsLy9Pd/AXEV33BA3k9IFSboUqZlwWOjIzM5GZmakJ2eKkKL43VU14QlX2z+l0om3btl6JqYQYukMChVEogOo3lSVeBbVLrroiTx5iLCxwRUkrLy/32q5H48aNdRUH8dnExMRoSYGJiYk+VlayRouTluzqlcMSSMGQlWc6j1h1R4Tc2vIzJMsthdOQ4CH2B3+TgV6cbY8ePXy26yV/070R9M4bNWqEM2fOaJYwf+9GXOhKvKaIv/sR45rF5yWvMC0KLeIzaNmypW44hXi8fF76m963ngAq9ruPPvrI5/xiW+Li4rTyu6SQiQuv0XYKTRNDhahimer8KsUrMTHR69mq+oV8P5cvX/Yaj1T3SMjPTbSkxsfHa0YQ0fOoSkyXhTnq/3o15uPj47XvRxVaarQGjR0hStHR0V4hdA6HAx06dPD6jsS5ggxRcky6WKzAyBsZHR3tkxCdnJysWf3JWk3PXyzyQXOK0+lE06ZNvby3ZisoqizbsgFAXq9A9JZSvyNDpTiHUt8VPbhGYZCihR/wfaYicuinKmdJRg5HlfNh5NBXeSVpPWWHSExMhNvt9nrfomFCrzQtnUeOJJANgkR0dDRycnJ07zNcCOhr/OGHH0xXBKhtevXqhZKSEmzcuNFre0FBAZKTk9G5c2dbjg3GvjVpe6jIy8vTrFLioCRPDKQQyB8LTVIOh8MrljomJsYrQYzct/SBL1y40Mvd7/FUr+5KQishWmYJstjSh09lJ2VEi7VR6VDxOoQ/dzTdG53X4XAgJydHe06quG+Vd4SOFS3LsktVVV1HHMwA/8pE27Ztfdojlswl6NkaTfROp1MTLmRrusPh8LLaJCQkKJOiRfRifSk+2OPxKIVc2XIke3oI6gfyug0qoaxhw4aaB0DEn6dNVH5VHgrR0mgUgii+EzpPamqqNkmSwqlKPge8+4rqHepN3vLzVdUdl0NhgOp3lJiYiOjoaK9Y444dO3opquL59QQUvYpF4vdA71h8P2JtejpGJDEx0cegIedXUJ8XlUZSmKjKWosWLbTri8qBfL2OHTv6tNcIlRdVNT8b5XAA1f2EKqyJimPHjh29xjNZoRL/X1lZqWyzWJBBZRzSU0Kt5ASZge6je/fu2rdA/YxCH8X3ERcXp0zYBXzHD/EYoLpfkQGC5irRaw5UPxcjI1t6erqylDkhJ7VTu0RFiAxuokInhuvI1QJdLpdWfIXOnZaW5iPMnz592itnSPydxhHaRnmBoqFIb3xJTEzUnlnHjh19vmH5O1cZEERjAZWaJcMEec1ISTTr1dLzKKvaRB7J2NhYLyOUP+OpUbXBcCEgpaFNmzZ+k3JDRc+ePdGjRw/Mnj0b+fn52LVrF2bOnIlt27bhkUce0QaA3bt3Y+jQoVi6dKnlY4O1r5Vz7/HOgwAAIABJREFUhgv5+flepRYdDgdcLpfPQk+EOFG6XC7NqiKWfBQ/eDHuWRSsZHehx+NBQUGBNjDLFQ1UoRUieoIuXV/1MdMAonovchiC/CzI6pWZmam1R7yGmPNA1xAHZnGApuNpmyhEO51On8om1B7R5Su3TxVPSxOE0+lEfHy8LfGXNJDTOxMtxNQ26lc0+MphDGIVLvE9yguNiQKjaAGnBHJCFHBIGaPcHFX7Vf+2Ql5eHhwOB1JSUnxKt6rK8tF9qAQtqgNOkFVQlXSvIj8/H5cuXdIt46p653QNVVvF8riEnkJFSpnKuihboik+X0+ZF4Ve2UpKyM9AVrrp3HrjBeC78jN9e/QOS0pKvPJbxOv7WyfGTCiGvA/dd3x8vHLtBvlYcQ0Mh8PhUyqU7ktW8kVlgQRM+VoxMTFecf1GhheVZzYjI8PUehFmkD2tYly6aJwSDVNygrvcD0QPN/1GFbLE68n9T4y1dzqdPotlAlfmAnpm8fHx2r/pvcrhvIQ8JsnCrqzoic+Hri3eqziGUAibjPyd0VyelpameWCBKxWURCOXSikSS86KRiYVRp51McxP9kjQuG40JqiMFarQNTpOXmCO5hn6ZoyUArsV5GAR0Cx35513Ys+ePYblrULJ+PHj0a9fPyxevBh/+MMfsG/fPrz44ou4/fbbvfZTxZybPTZY+1o5Z7ggDvhimJFqcKHBqGXLltp+0dHeC62RcEwfmxiTqlePXT6WzmsW2pcGYhI+5XABkaqq6gpGemEicg1nPUjRIlwuF8rLy5WuSqpGJeJyubys8eKAr7Jmys9Qte6D+D6oTju9Z4fD4RXPqueqNxLoqHqEaBGLjY3VPYbW4mjcuLHWD2SrjximJL8zVSI0KZjR0b4lJsV2JCQk+JQYpRAz1X2L13a5XNo+ekJifn4+nE4nnE6nz7ocRgl14nu+dOmSVxljehayQAdAWSFMjsWnSV9VilW8z4YNG2oeArfbrU188vkvX76sfFYqC7TZOuX+vm+yrMuCPVmY9RJZydpO7VHlBMjXpuvIbadrqBIq/eX0UO6Rqvw0IRoIyIoKVHsNVN+8KhSHriF/e7SPrMjS+cTxhjyMonc2Pj7ey8unEpjE/Bk6joS5WbNmweVy2VZRRgwFAqq/TT0lWA6rI4zGUcDbuykjGzFonBKfu6rkNn1nVB6Z2iCu1C62Xfxb/I2Oo+9VbL/8fuWxXj6Hy+XSxixA3b+B6sp9VVVV2jnIKy4+E3oW/fv39zqW2icqjuJ8RufRu7ZROKboWaa/xfcgK4ridVXhhqICJCdHy/ejh10KcrAJSGn45S9/if79+2P8+PFYsWIFfvzxx7BaHTohIQGPP/44FixYgI8++gh/+ctf0LdvX6990tPTsWrVKowaNcryscHc18o5wwUa+FXxiXoC95gxY7R/qz56cVIysqTQ75RwJSYeJSQkmLawyh4F0SVK4QLyoEb7i9Vh5MGahBN/A4ZeJSSxfeJkIQonKuHGCDGWNSoqSnmcXNNabp/D4fCpDCILl0ZWFTnGlp6PP/dsWVkZHA6HFtJCREdHawIUWcbEhXRExIlX9Ew4nU5N6BX7gUpo0av5LT4XsW2i0qXC5XJpHjo9JVQOKTMiLS3NKylYbKve5KRaVZ0WLBLbRPeRk5PjFe9vdG7RK0SIlXUC9Vrl5+drVVxUz6aq6sqihqLlUvWMSdDTs2rKuTqycKD3buTvX8ylAvQ9KqQoi2EW8mJq8r3IXhvqe+KCX2L/ly3MMnFxcT5WedEzIStUYuhJSkqKXwVQFE7pOPFbtjNcg94rWbszMzN9wkaAakVMLwyFFCnZCwzoe4boGYheHfGbIsVAFd4jHk/XN/ISUD+Ty4rS+6fxnr6XuLg4tGjRwssDAlwpvkKeEHo+4nxA718MMZXDdDIzM33CQ8V7EOf2cePGed2v3HfE0udU8pWS00VkeYHuXVTqxfGC9hfn8oSEBG3uoLlEpYgZobfwIZ1TpZTm5eX5DYUONQEpDUOHDsXnn3+OCxcuYP78+XjqqacwbNgwDB06VPmHiWyovJw8mKWkpOgm9oiTgV5cpypsBvAW/EWFo7S0VBu0EhISEBcXp00+5B6UB/j+/fvD7XZrg4UYiykLMjSoUTiJ2E5CZbVXDfRGAr4cTtSkSRMvBUq+PuA9oIrIgz2dQ/yb3pF4zbKyMsTExCAlJUU7Vi8Bm7hw4YL2b6vWQXl/0Vsg/6ZKII2Li9OEWDF8R6x7rqoEJJ7D4XCgU6dOuhWDAO9cGxKQKNFOFoqB6neZkZFhKPy43W4twV68ppjP0LJlSwBXvpWqqitrEFDJWPGeKJxAVOSMVhIHrnzHdF+iuzw6unrNCafTiePHj2sKjsPh8Lo31YQneoVES6OoYKnC7qhN4juQBXexqEFaWhqcTqfPgknUb+XvWQwvkf8W2y6GiNCzUAkOqjKZgK+QobqG+I0B1c+R/i0bVcRFJYErVVdEA4Dcl5KSknxyEcSwPhnVuNu/f3906NBB+020NNM5aT/6XcZIIBJDE1U5RYEi3rcs8Ku8IHK75bGW5jVx++nTp3XXGcrOzlYK9nFxcdrzyMnJ8QnvUT0rUaFSIVfoka8pettoe6dOnZCYmOil+JaWlnp5FUSPh6pNgDUPobzQm5wvQX/EZyCO+3FxcWjZsiVSU1N9hO+SkhIvY5D4vGWjTllZmVf+FbVj4MCB2txBz0ocP+VQMUA/v0Q1F1K4rYxYTSxcCUhpaNGihVYWjP5t9IepHZ5//nmMGTPG688nn3wS9OuWlJQo3bFmBApxXxV6EwbFt1+4cMGrDB0JmzQp0seZkpLiNdjSQDJu3Dj88MMP2nYKy0hJSVF6FmgfGnj0Yr/pGnL1FsLfACseQ2WLKaFNtQKwHnI5Qwp5EEO4aB8SyMRSt06nUxssnU6n1yApxyGLg6DRxCZDwoccb5qTk+NlmZMRFQRy38uTmlhGTxRA5So+4nuUJyFROKJ20nmMyi/SdWfNmmV4/3rhP+JETwmBwJXEffmZqDx2cuigiBh7DlRPepS063a7fRaa6tSpkyacUp+RjQKqkAnV/2NiYuB2u5UCGXAl/IFCyOg+xKpKtF0Mk0lPT9cs4yrjgvhNi9VwCHnVZjEOWbRC0nctWsjF9SFkL5iI6r5lgTMzM9MnaZIs5VVVVT7VzPQ8LcCV8YoSTOm7EY0A4vhNsf2ygD1u3DhDYwf1F9V+VOjCSCCSre1ETcOTGjdurI1l8jxFFl95HBffWceOHX1CiERvr/gtqqoUyfcs5lDQb3IOg7iNrim2Wa+t8jo1Mv5C+sSKcvRtyN+6XnUr2ahkpOzJ90P9XxxnSVkhyItJHtSOHTsiOzvbx1ijqookG4foGmKuDhETE6Pb1+X5RSw8ER0d7bV4q1hpi+YNuZ8ZeSPClYBa+84771j6w9QO06dPx+zZs73+DB48OOjXJcuQv/AYGgBkYUc8jlznopVZz0pOk5ssmMsuekqk1RPUVZVenE6n5lnQIzq6enEslXJRVVWFxMREL6tqoG5H8TijCdTf+cX8C1EAEr0rooVGhWgd05sUGjZsaLp0HIW3qAQGSqYnC7hc3Uguz6dCnsjESiliG0RFTLyOXDOdQl1oco2Li9OUKjNtMYNsdVZ5RVTXUuW76F0/Li4OgwYNgtvt9lrdlQSeH374QVeZEa+tEnYAb8FCFYIUHR2tPL+YCEp9QozVHzNmjJZDQ2EJogVQDKURnxcpI+I3TZW6ZEShT88DSuencU/+ZoyUBsD328nOzvZJcFUpwXJJ5EDGFHpeNB6ocoOAamurP+OGeH16bnl5eV4VoIArBRlUx4nbVJZssxZsPQoLC7XKYaqQENEQI1vkCT1lRxwv3W43kpKSlDHtZgVDvesYPQO9c1OxClFJEeP3VeORWOBG9QzIYGGlLf6UB4fD4VUEwahPu1wupKSkeBVcIXlBVJIo+VvMUTRqs7iis+g5kWUVqiKYn5+vhWVRVINq/SB65tnZ2boGv4SEBERFRfl4SMOVuqXiMGGNKplOhSwsiAIm5RKIlmdxIhEneRpIaVl7Qk4qFv8thq4YJd2aga45btw4xMXFebkn5ZVmKUFcdFeanfDlUC4V8fHxhlY8MUGdIHc0DWSqBDmZ1NRUrxwKlScxJSXFlIuVLJ7yvmIegiigilZommzkd0XPX05qo+1ygqhYBlN1zaefftrrXDSJ0CQhWojpPK1atVKucGy2X6kS2sV2iSUR5fPrWScJ0Xo9btw4LayQYt0JUtbk8+j1WRIoAN8JWi/0SI7fV0GTrhwGo5f8KB+rd37yRIr/F79NsozrWXjFfVWLbhoVYxCVldjYWO29UYUcOZcJuGJMEQUL2Yoth/OpQixVQnNV1ZVF6USFychoorIEE3JoDeXriPjL4TJKDraKfM968wOgDpPRg5QuElrLysrQqVMnn/LU4rkDzd2RiYmJ0Yw99P7kEDxSGESjBq0FRJ4SvcR9Ol5G9Z2q8gbFOV5PYI+Li9OUS/Hd078XLlwIwNf7QvKC3If0vBx6Y4uqapPssRPvQ55vxKgGuaIYAK38cllZmbJvi8oc4G3wCGdsUxqKi4uVFlsm8qEJkGKzrSBPPKIwUFZW5vPBywmFYmlOgs5H8YFi8hYN6KKAJcaQnz592iux02jSEENw9OJZZShPgNozdepUU8oDJTyq2pOXl+f1XFQLxKmOky1G2dnZ2sQin0vcR0TOAdC7lgpVmwFoFZLkfVRVduRriUlt8nYxJEP2HMhtIMRcAxnxPOIkpQqPMYu8Ei/gO7mIoRHifvK7UU2WepXNSGgmqqqqUFFRoQns4jcktlN1Pfo7JibGq32qkBXVv/UExoYNG3pZhP0937Zt23qNC6rEezpHYmKiVkSBxh3ZKignc9J3LBtBxNhvGs9IISBBjZ5R48aNtfOKCrke4sJftF4H3SOdk64th2TSb3R98f7EcDsjJZH+n52dretlAnyFQL37UoUCiiFhdiCPcyoBVUXHjh29viGV4kOCopjYauSBFfujXvir0XxA3sTo6GhNqBYNVP68nbJhgcYMVXw9ncsodAuo/s7ICEfGFLfbDY/Hg7y8PK/9XS6XZmhSKSV07y6XS/uu5H5mVIWLIJlk0aJFPoUHxHPRfYrvTP5m9Eovi4Um6JuXlTYV1H66Tk09abVNjZSGr7/+Gq+88gpGjBiBrKwsjBw5Eg888AAmTpyIr7/+2q42MhEETZyEPABQyBEhaveqj0vPVSpOfKJA78+iSYqPUY121TXExDJVMpRooRbPWVBQYGqCdDgcSEhIULZHFm7ofP4SCKOjr5S5o4maKp5QxRdVpaapU6cCqB6oXS5XQImK8oBKlmqaoGQLvnzfetZCOQ5bL7SL7lFUrKwKKmL1DZoYVTW8rUDx56K3RfSOGfVHVfv1FDgxmZWuIYaqkHtfVFjEZ6mXp5GXl+cVe+zxeLQ4X1UCOyEKC6KQQIqh2+32CkNSCTmysCXm44j9VNxP5bEoLy/XDZ8Rv1+9d5GTk6N5SundNW7c2MsbI583Ly/PR+kT70MOTXM4HBg4cCAAfeFEVqpJIBfDQQjRU6san+n6JCjLgnegcdkqg4Nd1nhCb46QFyDT8ywYCasNG14pOUznkctuiojPVs+TYzQOic+e8o9kSCjXU0pU1zJaZZ7mF6rso7LOi+OI6B0TVxan69H4QO1TjcGqan3+iknIClNcXJyu4Uz23otJ3/J3refR0PNkxsTEaMUJ9KDrxMbG6ubyhCsBKw1vv/02Jk2ahG3btqGkpAQJCQlISEhAaWkpvv76a0yaNAlvv/22nW1lwhx/qyAD0J04RURhDLiSICdWVfCH+BGb2V9erNCqAElhA06nU0sIpCSpqqoqbYBXeSSMkqlFxIHFjHdC777pPAkJCdrERVYPMdmN9pMFjIKCAgBXPEvygOevbeL7lKEJSo6/l/eVhRb6vXHjxj5Cj164jEqY0Gu7XlUgoLrfk/BJ/aimyW2y4CQK0CJyWBFQLTT4U3plQUlM6gS8wwBlix8AnDlzRnlesn6qqhWJbZa9TCphQU7AFC2GcgK67LFU9RfyoBmF+4k5FXRe8RwUnyz+RseIwqXD4fCyWOp9iyQM6VVNIQFfFOpJEdITOvXeuZ7Q5K8iD+CtXKneq5V1WkSsjh01RbyenMdAyp5RKFVGRoayOpd4HqA67EylOMj9QK+0qhnkdW7I80lrvcglTI0wk88me+4Jel7y82zUqJGX0C4beqh9/hY5NHsPlPBOGHky5H1EpVjc16h6o+zBoHGJnqMZAw/1EX+V7cKJgGa2L7/8EitXrkTjxo3x+OOPY+nSpXj//fe1P0888QSaNGmCVatW4csvv7S7zUyYIruajerSG0FWTVU4AVVNANRlzwg9t7repKQKhaL99ayOIidPntRKHpIlpbS0VJtsxVKp8jmtVEMiAgkDA65Y8mTrhiwsiV4I+VqqgVRM+PPXNnGQFa1hqsmDYoXF0ppG51TV2BcVIDnZktZ9IPTanpmZ6TXBi89ArEYjxrIHaj0iq5kolIreL8LhcCA+Pt5nLYpOnTr53IfYt1u1auWzarj4DMTviaz8ZpGrB8nfJlnryUoO+D5zPSXaKBRAdb+y1VDP+iuWKqW/qQ3yefv37++j4FB7ZK+cntVa9Eb5E4bo3cfFedfR1xvf5Osaxe8TcuEJekciqjBB1e/i+zYzRqk8jnaHa/gTJOWwx8zMTM1aLz+zWbNmecWeU1vFb0Q1b8m5X3RNcezX8zSJ7aDj6HwUAuh0OrVwGXmsMBsuarbSpeqdEeK7M9rPzvAz4Mo8QRUAZeVHDO0Uj1GFwYptlNeAINxut1fBFcqzEysTEnplcPWuG+4EpDR88sknaNCgAV5//XUMGTLES0tq1KgRBg8ejClTpiA2NhaffvqpbY1lwpdDhw75bDNjQdBD5Z6UBX+yIqusmvLx4oSgpwioBm29eFzVNnGwEMutEZQgaBTjGyzEPADxbz2io6N1LZl64RuAWoEzQryGqk1kvaFJ2ShMSW+bKNTLSabl5eWGeTMi+fn5mmVeVJAppEs+j9k8FxXUVtGzphKMRW+HjPi90MQGVCu4ZgUzqwKc2I7+/fv7KE9krTdKspWVaJVSbUYhk72aeuVnW7du7XOfeoo8tZvOS8+UlDCVwC7fv56Xxh96C7GJiox4Xdn7YkYgJ+XHqO+qzkHewPj4+ICNRURNE59VGPUX1f2Q4cffOE1zhjjXiSuL03U7derkV4HVu5b4HsnrJi+i2KlTJ6USTdeUjSPAFe849RfVwoxGnh/VPKp6d9HR0UH1IFHIoBj+qOddBtQ5CqIRRWwrfXNy++l9q+Zz2SBD/UHvuwm2d81uAlIajhw5gu7du+tWCQCqk2O6d++O77//PuDGMdYIxToN1OFroiCI5zKKExYFf9mtqBKa9CYvldBuR/IdKc+nT5/WtW6ZvYZeeEogmBGsrQ5c8n1Q+IRZy4nKTS+6e+U8BbPtELfROeQa4PSbnku4rKzM0NpNE7eogMn3Q6VkA8Eoj0fvPamq4ojfi5GiKk/+lFgpYrbviSGFJGCLZR5rgj9voWpfPcR3M2bMGMttk6u+qIQlVZiSXYj9U1bAZE+IXAFGRK+ilVHSuh5OpxMpKSm2zAV2UlVV5TMGWAlDNELvm2rYsCHS09OVeW+0oKiMmTBV1bwF6JdQJWNbVFSUTxls8pgYzUn0myqMShxTjJSHqqoqpVJrBX/J4fLaJ7KSIM4p/nK/9OYUeZyUlXIR8tqYyVcwE7IdTgSkNFRUVJgqeRcfH4+KiopALsEEQCjWacjMzPSpHU4EIuRmZ2drx6kqIhHiREw1uGWrppXJKxA3od5AJpdyC6TUnhi+AdRsYDHjKdGbjESMBm7a34yApFKAyLLrdru1yixyoqJ8fVFQVrVNFOicTqdXiJM/q6tRyJiRoEiYLTsL+H4nVpKdA/nGZIGFJn9a70QV12xFAXK5XJpQrfqGKSTNqnApCsP07PXyqPw9ezGEg+7fTosonYfi5PX2of38WefNekJU7Tc6txzmpdenza67Yqdhw07k8DO5f6jydmrSJrmilci4ceOUSr7eOzUaiwYNGqSFhOqF11J4myrEkRDfO4274jbKVZK3E7LnS7T8y3NJIGOYfIye5Z+gPl1eXo7MzEyval+BQuMEKQR60QbHjx/X8krMYvb7CgcCUhpat26NPXv2KOOHidLSUuzZswetW7cOuHFM+CNaIGTB2IqQ63K5tEQrObFMNdDJlgyns3q1YpVwriecmE1A1sNo8JPzBfTK1+nhb2E5GSuTtZn3ohfj6e98Zs6dmZmJVq1aKd/r6dOnteuoqkKJxxw4cEDZNtUzFmPz5cTaQIQD8f3SecXz1DQuW7SqG7VPFobkdqjQ+x5IaRBDzIysc3ptFqF+JIZjUN92u90+x5j9PsTnq6oSQ+cxen6yIt6yZUtlomcgyNZ+vX1U3gARMZbdTHK96npG6xQA/kO9jCyqhJFiZISeEF/TsVl1HqO2yIqVmXuWkav+yYh90UzREH9UVVVh3Lhxhv1CNnDo3ZP4/qiCm7jNyhwqh/CJc4m8v56HRA+9XCN6nvI6G7TdznDgp59+Wvf9ydUfXS6XUkGUyczMDDsPnR4BKQ29e/fGhQsXMGXKFOWCFCdOnMCUKVNQWFiIPn361LiRTPiSn5+vXFXUCNXHYcZFqoe4zoJKgNCztAWSgGyEaP0Uy4TSdrfbbfs15WubwZ9AK3oCzEzeFJ6jqjyix8mTJwMayM0c4+8Z+/OymEGcCI2slGYSUVX9Uw4t8oe4Am+gE6ScbEvnMhuqoqfsAfrVpOS2Wv0+9PIj6Dz+np/4LdAzbNiwoeUJPFiWcrHt5AnR+371xrmysjKv9omKih1WXgA+FaX0jpXRs477Wz3aLKKF3Mp3Ecg3JK8krnoWdF6Voib2OX/37Ha7lWsU6WHmPQeSPC2XVFUhnkuvPLhZVOODmGOWmpqquzimHlbmOqC6zf4UATF/UQ/5Hbvd7hrnA9UGASkN9957Lzp27Ijt27fjySefxG9/+1v88Y9/xJ/+9Cf89re/xVNPPYXt27ejY8eOuOeee+xuMxNmWFUarHwY/gZPcVGq1NRUyxZ6FVasXCrhQozrFsP4zAoiRvG2/izPVs5vJPw5HNVrJpgV4pxOJ9LT02216NiN6n6tWJVV1kjVvwG1pdmMp8Ys4vWM7sFKXxFXjhWRJ99AXOlmwllV+Gu/ntBpFfmbtzp5q2K7RW+HiOp96VkuaU0UOo5CLVQUFhYqt+vla1EooAqjZ2gU7mjH92+HUk/UhvVWT5EzCnVSeXKtrBkjeu7sqsAjt9fMd2Q0JhJ2V8OSEccjqzlETqdT+wZUc50VuUbGTIikTCBrHtU2ASkNDRs2RG5uLgYPHozY2Fjs3bsX69atw9q1a7F3717ExsZi8ODBmDx5cp0sKcVYIzExscZ16fUwSt4EvCvUpKenK/f1J5TJ4TX+BGVxYBTr2aswCuHTQ++ejRJarQhKdLy/wdzfc5Cf665du0y3wQpiBaGaoLpfVQic3nMRF1OSSxvWRLAJZFIVr201UVwPh8OB2NhY7XxxcXFKBdpKqBJ5oIxKXRpB11Idr0pAtxpWQu0U+7rR+9BTBOT2iueU26O6Fz3LJa2J4nJdKRWsd396SoOZ/mHVQ2AVWhgsFMgrEtcUVU4QhY+5XC6vijh2jA8q9L6dmt5fXFycFiIaLE+wjKryYqDXFMOdzDwLf7kOekqD3hoQVH5ZhayIicU/CH/yRDgQsKSXkJCAJ554AosWLcKUKVPw4osv4sUXX8SUKVOwaNEiPPHEE14L0jCRCSX9WlEaaiIAyoOwWJ1AFSoH+BfKxNAOM4iDjOrclGNh5tp2YXawVg2kgU408r0Fw6pHbavpc/RnORafn17/FEvN+osRtiMm2985jBIbzSIfL06SDRs2DDicTlRM/a2tYQaVJV6vRLLec1OdQ/X+jMYnPUVAhVGfM/PexPtQhYnJmImd1rME2yHU0rlVXiW9xeuCDS28aCS868XV6/Ujo5ygzMxMrWyt3vWCSU2vN2jQIL9jZaBjjtXnGQiiXODvWYgGBr170pNrVN7CzMzqojB6a5zIihjljhAOh6NO5DXU2DwcHx+Prl27ok+fPujTpw+6du0asCuaqXtQJxcFZX+YdcH5q9JA6Gn2qoV3VIgDRk0+WrIkVFVVaQJNKEup+csdCZYVzAxmwz+sJojp9UG73L5mrex25K7oncOqMGmEeD/yc64thdcKqth8Gb3nZkaormmbRIz6bSC5OeL7sBI+Jd63PyVJ716slANVeVdDFatdWlrqJcSrsNqP9AiWt93f9WpS0EHGTHivmb4rr5oNWH+eqvxEM3OBy+VCTk4O8vLyDEM35dBRVR+1+k5V5zAbAhuO462K2u3lTMRCZU/NoDeBiAumAObDBPT2o/b4G2j8eQ7E6/k7j1ULk9XwPVU7VAM04N/VKbbRimW8JnGeRLAsKnp90A5rt1n0JiAzmJn45eTDQHIM/F0nJiZGuXAVYSUXxGqFFKNnVxMF10yVINXf/rASrmUXVr4fvXwJK++kpkqwv+pQwcLsvGTH86RxsbaEPzLO0vdv5GXzh/ge5PsL5B2dPHmyxu9WpcDojQ3yWkiZmZnIz8/3yW/Iy8urFY9HJBNrZqcPP/ywRhe5//77a3Q8Y47nn3/eRzMePHhw0NdqcDgcOHfuXI3PQwOCLMyqJmVyd9PgUJPrAerSlarrBYrT6VQOeI0bN7Z0HlU7Ag3LMjqvFWu5XZZ1oHatLXa2mzCrqOphpj+rYqqt3oe/vky13/Pz85X9Vi/ZULUood61/BkPRPQWubOinPlT0EWFf/r06Za+d71xSj63HlYVcTtKdqoWOrMyzk18tGtlAAAgAElEQVSdOlUp2FlpW214OQMtB6uHP49VbXmX6RuUQ15qmosg3x99D/5Q5cXs3LlTd34i7ChxrHcOvfVNgtHvRGUkkhUQU0rDe++9Z9q9T9ZNcX9WGmqH6dOno1GjRrV+XafTiX379pne38qkEsxYWDmx1S5kxY2EU5WAE64uSSNBlHKVxPAmO4Rvq0K8qh+pzuFyuTB79myf3BU72p2Xl+f1DmtjkZ5ghdkAVyZfud65jN59tm3b1uv/Rp43KxOr3AY6nx0W4ppCVcZqM8zPzj7gr916ltmCggKl0hDM/mkngb4vO8OQREHb6nOr7bnDn5Klep7jxo3Dc889Z3icXcVyguG1stK2/Px8LS/BrDEjVMUBaoIppWHkyJGWYoLPnz+PL774AuXl5XWihBQTOEar8up9EGYHx2BYgvXa4e/j9SeciMfTpELtp8H0m2++8XtsuHHw4EGfbSRQ2i0k6QnxepOjqh+pzpGZmYmJEycqE94DffZi1R1RoLUzoVQPlfBrxeJuJGzQJClOlv7KSZo9t4yeEK/yKtgxDujNRTUtsRzI2hIyeoKolTHKClbuOZhjcF1E5RVyuVzYvHmz5XOJ31GwlNr6gtmx12g9Exk9j6reOOd0On3GCCPPUyjyCWuKKZV51KhRyMrK8vtn8ODBKC0txZo1a1BeXo74+Hjce++9wb4HJoTQhxYVFeXzAdT0gwikdGKwrmWl+o5qW2Zmpu5AY/Y+QxGLeebMGZ9tdtXGN4vD4aiVxbMIvWvJcbPBIpBzW1mx1UoJ4mCiZzzQ8yrUFL0QBr0Fo1TYkdDbpEkT0/uKgoydfS6YioAZ66xdKz6boTaMMqoCE0bUdil6vbw3KwTaZ8LNKKY3VqrGI6s5cirCNZogUEx5GvxRVFSEf/zjH/jkk09QVlaGuLg43HvvvbjvvvssDZB2UFJSgkWLFmH9+vUoKipCSkoKhg0bhr59+9p+vN377ty5E2vWrMF3332HM2fOIDExEddccw1GjhyJTp06Bf5QaoHYWFu6kg9mBWKVhdnOwcqK61hvQqhpDWa9Qbu2K5PoVbUyE/eqRyCu72Chdy2V0Ol2u8NiUtBrQyBhMzk5OQG/y1atWvmNYa4LBPOd2qGUWRE69VYfVrXDjrHETIx6bYZzhbLsqV6ui8qqrffcrAj8evOl6pu0Q5EwQ6DPX/XszHonQ0ldKZ0aKDWS9C5evKgpCyUlJYiLi8Pdd9+NYcOG1bqyQOTm5uLAgQN46KGH0LZtW6xduxbTpk1DVVUVbr/9dluPt3vfzz77DEVFRbj77ruRmpqKwsJCfPTRRxg7diwmTpyIG264wZ6HFKYEOomZWWipplhxHesN/sePHw/54KY3iYV6+XpVvWx/ioRV4SuQBfBEVIrj6dOnQ/5OAXsEUUrWr4kCaEVhsMPaWtvPPljx+lafhZXkUb3Vh1V9JtKEHbOGmmD1Iz3lyGihSRkr35SVcVzvvKq+FYoxTvXsrH5/ofByyCFK4eZpqSkBKQ0XL17EihUr8PHHH6OkpASxsbG4++67cf/996NZs2Z2t9E0W7duxY4dOzB27FjcdtttAIDu3bvD7XZj/vz56NOnD2JiYmw5Phj7Pvnkk2jatKlXmzIyMvD4449j+fLlYak02FH5gAh0YPKnHOidt7ZdxOLiYHbgr2KLCr1JrLaFBTOhWv7uLSkpydI1a6pE6imOdi+wFmz0rudwODShozZClOwYO4K1Mq4ewYo7t3MclQnlWjGBEqz3pzdm2vGM9Dw6Kuy4XrA8Bap5MTs721IYnx7Beq96ymGwvExG9+FyubyUN7NtcLlcunmP4YSlMgCXLl3C4sWL8eijj2L58uWoqKjAkCFD8Pbbb+PRRx8NqcIAAJs2bUJCQgJ69+7ttX3AgAE4d+4c9u/fb9vxwdhXVhiA6ko17dq1U8aWhwO1LXgHgt7AFqyJ2kj5Cde4ZD1hKFjPyI5JM1S132VqM3fHKv4W+JOxYyXzmjx/u95dOCQYhktiq90lR2sDu96fnPxe27kcx44dM328lTHR5XLVahig3vuwWi2upu/VbGnVQLAiy/grrxxIewI9rrYxpTQUFxdj6dKlGD16NJYtW4aKigoMGjQI8+bNw2OPPRZyZYE4evQoUlJSfLwJaWlp2u92HR+sfWUuXbqEQ4cOoV27doZtB6rfk5k/FRUVfs9llkuXLgGwJlwG06pWU9xud40nU70VVoOlYNkRMqE6h8vlstTmcBnwgiUwhnO/1cNq2Jkdq8vKz99K0msohP3Tp0+brvxmBSuVA/UExhYtWpg+h5V9gZo/67pQWjXU1RutPCMr42c4KMVA7bcjmEZK1fhekxXSA6EueAVNhSeNHj0axcXFiI2NxeDBgzF8+HAkJycHu22WKSoqUrrsKIyhqKjItuODta/MnDlzUFpaigceeMCw7QDwyCOP+N0HALKysjBq1ChT+/qDQm6suNWC9eHbMdGfPn26xlWb9FyTwRI6g2XRtBrbTisIRyp65fciCXHtDfp/Ta2zCxcurLFwEUyr+LFjx0y3L1jGET2B0UoBjKefftr0vnYQTE9KIKGXKmpafEKF3vwVLIGvtvPN7DD+WAl37d+/f42vFyz0+qAdifyqMS2cvX+EKaXh0qVLiIqKQmVlJT7//HN8/vnnpi8QFRWFDz74wHLDdu/ejfHjx5vad8aMGbj66qstXyPcWbRoEdasWYMnnnjC1OQxf/58U4u7NWjQwI7mAbiycmxNKucQNR0c7ZhkrA6YqmuG2roVCFZXpFURivhRs9ihsIXbYkrBuJ6qbHJNlQY78mXsKL+sJ9SprMF6QkFtet6sKmzBtPrWdGy2+izsqq5kdiE2VR/V60fBDJFRUdv5ZnYoP1b6i2qBwPqAvzLt4YrpRGiPxwOPx2OLcGGGtm3b4plnnjG1L3XypKQkpdWetvlLnLRyfLD2JZYuXYply5YhJycHQ4YMMWw30ahRo1pfETqQ1TH1Blc7BkeVhcqK8GXHgBkuLkYr911b3zVR00pGVqnt3Bs7BAgrpV9rWzAPZ+xYeM4OajoOGClsVu6ltkOtVG0LlRcyPj7e1H4qj4TV76EuWIlrC1XfD5eCD3rYMW/Xhz5gSmlYuXJlsNvhQ3JysuUXkJaWhnXr1qGystIrf4ByBtq3b2/b8cHaF6hWGJYsWYJRo0aZCksKB6xMYnofpx0TocpCZYcwFC7x7MEStgNR/mpCpAioegRTcdQroRks6sNEWNew0r+sfGt6Y7CV6+mt4xIK5G9FT7m2MvfUdJHOYFLbgq9eGJmVVeStUNO8D5fLZUsfsHLNSKN2JYUg06tXL5SUlGDjxo1e2wsKCpCcnIzOnTvbdnyw9n3//fexZMkSjBgxAllZWeZuPAwIloVe77yRkoBlVSBT3bcdCo0VpaG2hcjaXD3WLux4Rnr3XduerGB9a3aUSw0XhSbcrahmsdK39MYdO9oWLCXYjvOGiydZRW0LvsGsRqXCDu9dsN5fuIxFwSY4y/iGiJ49e6JHjx6YPXs2iouL0bp1a6xbtw7btm3DCy+84GXl3717NyZMmICRI0dqwrmV44Ox70cffYTFixcjIyMDPXv2xN69e73u77rrrgvm46sRwZrogxlSoDp3bceP1sXQm9pW2KwskKRHXRS09e7bapnDcMUOi60duQ41RZULEsg5rFCb36BeboVeYQA72hbOi8wFsx/VlFAv0lmfEft9JCsQEaU0AMD48eOxcOFCLF68GEVFRUhJScGLL76Ivn37+uxbVVXlE8to5Xi7992yZQsAYNu2bdi2bZvPOVatWmX5edQWwZrog4kqzlZv0A1n61IwsSKY21XxxCxW3kmwBO1QlJkN1uJUtU24rKdRU0+dHbHveucIB+FDL7ciXEos1zbBGuPCXdmy0hfro9Inzn/hIuMEg4hTGhISEvD444/j8ccfN9wvPT1dKYSbPT4Y+06ZMsXvecKNUMX62yGg2hHrGw4EU2C0ksBoV8WTYFDbITa1jR2x6LWNHe/EjnHAiqfOjucZDgaWcO4X9YG6GM5mpS+Gs8cjWAp6OM9/dhJxSkN95vnnn/eJTR88eDAGDx4ctGsGOzRG70NetGhRrbvoa0pNJ2q9NgRToakPg2BNCAdLsBHhrOzaQW1P1JHyPEN9H+H+3QSbYBmsrIT8hfs7qO11DHiuMwcrDRHE9OnTa73karDR+5Br25Jhx4BS0xAZO9pgtfY4cwUrYSX1lXAXRJhq9N5Tbb0/+m6CHdIYao+KHeNqTStX6RHuY1ddXccg0omo6klM5GGlck64V9mxe8ALZILXa0NtJ1PXRXjC8k+kP6NIUYr03lMoihwEE9nyXttKRGpqatDOHSl90Q74WdQerDQwYY2VSaW2y7+FmkgX0PzBEwVT29T3b66uU9thWcFc1I774hX4WdQerDQwNSLUsbF2E2p3diDYITzXxffIE4V/wkGxqot9yw7C4dkHk7pwf6FuI49RkUmo+1UoYaWBqRHp6emhboKt2CHg+BtQ7A6jsmNiqovKEuOfcBBa7OhbwQw9DJZSEw7PPpgE8/7seieR8A7qooAa6fNJJPSrQGGlgakRJ0+etO1cdXFwVOFvQAnHMKpIefZM+GFH3wrmN6MKIeHvwZvafh6RLnRaoS4KqPXVu1gfYKWBCRvq4uAYKfCzr9uEs5Ab7n2Lq7T4x+7nEW5FK8L5+2GYcIKVBiai4MGfqY+wkMvUJfLz80OiOOjND/z9BAbPt4ETboqzWXidhggiFIu7hRs8+Ece9XViqq/3zdQPjELOgtX3eX6wF36egVNXV5BmpSGCiMTF3WobFtTCj7o4sNpBfb1vhuG+zzDhCYcnMYwAT1aBwwqXvdRV9zXDmOH06dM4ffp0qJsRUdgxBtsx7vBcELmw0sDUSbi6RvjBCpe9hGOVLYaxC7fbDbfbHepmRBR2jMF2jDv1cS6oL4oSKw1MnSQnJyfUTQgb2CLN1Ffqy0TNMEx4U18UJVYamDpJfflAzcAWaaa+wuNA3aWsrIw9xgxTx2ClgQlr2JLIMAwTeZSXl/MiYAxTx2ClgQlrrFgSWcFgGIZhGIYJDqw0MBEDhyowDMPUDaqqqkLdBIZhLMLrNEQQoVjcja371uFnxjDW4G8msnC73aw0MEwdhJWGCCIUi7uxdd86/MwYxhr8zUQWvD4Dw9RNODyJYRiGYZhaxePxhLoJDMNYhJUGhmEYhmFqDa6axNR36mrIZcSFJ5WUlGDRokVYv349ioqKkJKSgmHDhqFv3762Hx+sfYn8/HzMnDkT8fHxWL58ufmHwDAMwzBhisPhwN69e0PdDIYJGXU15DLilIbc3FwcOHAADz30ENq2bYu1a9di2rRpqKqqwu23327r8cHaFwDOnj2L+fPnIzk5GcXFxYE/ECZiycvLq7MDD8MwDMMwdYuIUhq2bt2KHTt2YOzYsbjtttsAAN27d4fb7cb8+fPRp08fxMTE2HJ8sPYlZs2aha5du+Kqq67Cxo0b7X1QTESwaNGiUDeBCSJ11X3NMAzDRCYRldOwadMmJCQkoHfv3l7bBwwYgHPnzmH//v22HR+sfQHgX//6F/bs2YOnnnrK/00LFBcXm/pTUVFh6bxMeOJ2u1lxiGDYi8REOqwYhx+R9E7y8vJC3YSII6I8DUePHkVKSoqP1T4tLU37vUuXLrYcH6x9f/rpJ8ybNw8PPfQQWrRoYe7G/z+PPPKIqf2ysrIwatQoS+dmwhO3243s7OxQN4NhGIaJACLJWJGfnx9R9xMORJTSUFRUhFatWvlsT0pK0n636/hg7fvWW28hJSUFgwYNMmyrivnz55tap6FBgwaWz82EJ2VlZTwoMgxTJ2GhjmHqFmGrNOzevRvjx483te+MGTNw9dVXB7lFwWfDhg3YsmULZsyYgaioKMvHN2rUqNYXd2NCS2lpaaibwDAMwzBMPSBslYa2bdvimWeeMbWvw+EAUG25V3kTaBtZ9vWwcrzd+5aUlGDOnDkYMmQIkpOTcfHiRQDA5cuXAQAXL15EbGws4uPjDe+BqT+UlZWhqqoq1M1gGIZhGKYeELZKQ3JysuWEnLS0NKxbtw6VlZVe+QNHjx4FALRv39624+3et7CwED/99BNWrFiBFStW+LQtKysLt9xyCyZMmOD/QTD1gvLy8lA3gWEYhmGYekJEVU/q1asXSkpKfEqUFhQUIDk5GZ07d7bteLv3bdasGXJzc33+ZGRkIC4uDrm5ucjJybH0PJjIhr0MDMPURVwuV0AhuAzDhJaw9TQEQs+ePdGjRw/Mnj0bxcXFaN26NdatW4dt27bhhRde8LLy7969GxMmTMDIkSORlZVl+Xi7942JiUF6errPPa1evRrR0dHK35j6TVVVFTweT6ibwTAMY4nMzEy8/PLLoW4GwzAWiSilAQDGjx+PhQsXYvHixSgqKkJKSgpefPFF9O3b12dfldBl5fhg7cswDMMwDMMw4USUh02VdZ7i4mKMGDECy5Yt4+pJ9Yibb74ZHo8HW7duDXVTGIZhLHHLLbfg1ltvxRtvvBHqpjARynPPPcf9ywRWZMiI8zTUZ55//nlER3unqQwePBiDBw8OUYsYhmEYxheuBMgwdQ9WGiKI6dOns6eBYRiGCXsaNmwY6iYwDGORiKqexDAMwzAMwzCM/bDSwDB1FDkUjWEYhmGYaqyu9cX4h6UOhqmjsNLAMExdxel0slDHBJXMzMxQNyHiYKmDYRiGYZhaxeFwsFDHMHUMVhoYpg4jLiLIMAxTV2AvA8PUPVhpYJg6SlxcHIcoMQxTJ2EvA8PUPVjiYJg6CpcsZBiGYRimtuB1GiIIXtytfuF0OlFUVBTqZjAMwzAMUw9gpSGC4MXd6hcOhwOHDh0KdTMYhmEYhqkHcHgSw9Rh4uLiQt0EhmEYhmHqAaw0MEwdJjU1NdRNYBiGYRimHsBKA8PUYbKzs0PdBIZhGIZh6gGsNDBMHcXlcnHZQoZhGIZhagVWGhimjsIKA8MwDMMwtQUrDQzDMAzDMAzDGMJKA2OZiooKLFmyBBUVFaFuChNGcL9gVHC/YFRwv2BUcL8Ib1hpiCCef/55jBkzxuvPJ598Yvt1KioqsHTpUv6oGS+4XzAquF8wKrhfMCq4X4Q3vLhbBMGLuzEMwzAMwzDBgD0NDMMwDMMwDMMYEnGehpKSEixatAjr169HUVERUlJSMGzYMPTt29f244O17zfffIPly5dj7969qKioQPPmzXHHHXdg5MiR1h8IwzAMwzAMw9SQiPM05ObmoqCgACNHjsQrr7yCa665BtOmTcOaNWtsPz4Y+65Zswbjx49HYmIinn/+efzhD3/A/fffD4/HY/1h1AOCkbNRF9sAhE87woFweBbh0AYgfNoRDoTDs+A2hBfh8izCoR3h0IZwIVyeRbi0g4gopWHr1q3YsWMHnnrqKQwcOBDdu3fHr3/9a/To0QPz589HZWWlbccHY9+zZ89i1qxZcLlcePHFF/Gzn/0M3bt3h8vlQlZWVnAeWh0nHD6ocGgDED7tCAfC4VmEQxuA8GlHOBAOz4LbEF6Ey7MIh3aEQxvChXB5FuHSDiKilIZNmzYhISEBvXv39to+YMAAnDt3Dvv377ft+GDs+/nnn6O0tBTDhg0zf9MMwzAMwzAME2QiSmk4evQoUlJSEBMT47U9LS1N+92u44Ox7549e5CUlITjx4/j2WefxdChQ5GdnY1Zs2ahuLjYsO0AUFxcbOoPlzJjGIZhGIZhrBBRidBFRUVo1aqVz/akpCTtd7uOD8a+Z8+eRVlZGV5//XUMHz4cjz32GA4cOIDFixfj6NGjmDp1KqKionTb/8gjjxjeH5GVlYVRo0aZ2pdhGIZhGIZhwlZp2L17N8aPH29q3xkzZuDqq68OcouCj8fjQXl5OR588EEMHz4cAJCeno7Y2FjMmzcPO3fuRI8ePZTHAcDs2bORkJDg9zoNGjQw5bnQg46tyTnsoqqqKuTtCIc2hEM7uF+EXxvCoR3cL7gNKsKlX4TDswiXdoRDG7hf1H476PxmCu6ErdLQtm1bPPPMM6b2dTgcAKot9ypvAm0jy74eVo4Pxr70d0ZGhtd+N910E+bNm4dDhw4plYaSkhIAwJgxYwzuzn7MejaCzYgRI0LdhLBoAxAe7eB+EV5tAMKjHdwvuA0qwqFfhMuzCId2hEMbAO4XIrXVjpKSEiQmJhruE7ZKQ3JyMlwul6Vj0tLSsG7dOlRWVnrlD1DOQPv27W07Phj7pqWlYd++fT7tIu1PLzQpOTkZ8+fPR0JCgmH4EsMwDMMwDMMQHo8HJSUlSE5O9rtv2CoNgdCrVy/k5+dj48aN6NOnj7a9oKAAycnJ6Ny5s23HB2PfW2+9Ffn5+fj666/RsWNHbb+tW7cCAK699lplu6Ojo9GiRQvDe2MYhmEYhmEYGX8eBiLmlVdeeSW4Tak92rRpg++++w75+flISkpCcXExli9fjvXr12PMmDFeeQ+7d+/G448/DqA6b8Dq8cHYt3Xr1jh06BBWr14NALh8+TK+/PJLLFmyBBkZGVqeA8MwDMMwDMPUJlGeCFtquKSkBAsXLsT69etRVFSElJQUDB8+HH379vXajxKt5UpCZo8P1r5lZWVYunQp1q5di/PnzyM5ORm33347srKy0KBBA5ueEsMwDMMwDMOYJ+KUBoZhGIZhGIZh7CWichoY6+zcuRNr1qzBd999hzNnziAxMRHXXHMNRo4ciU6dOvns/80332D58uXYu3cvKioq0Lx5c9xxxx0YOXKk134lJSVYtGiRl2dl2LBhSi8ME35Y6ReHDh3C0qVLceDAAVy8eBEOhwO33XYb7r33XsTHx3vty/2ibnP48GEsXLgQR44cQWFhIeLi4tC2bVsMHjwY/fr189rXyrvmflG3MdsvrM433C/qNlbGC5H8/HzMnDkT8fHxWL58uc/v3C9CR0TlNDDWeffdd3H+/HnceeeduPvuu9GtWzfs2LED77//Prp06eK1KN2aNWswefJkdOrUCVlZWRgwYABSU1NRUlKi5YUQkyZNwtatW5GdnY27774bRUVFWLhwIdq0aaOthM2EL2b7xX/+8x+MHTsWMTExyMnJwV133YVGjRph2bJlOHr0qM8gzv2ibnP8+HGcPn0aAwYMwMCBA3HzzTfjzJkzeP/99xETE4Nu3bpp+1p519wv6jZm+4WV+QbgflHXsTJeEGfPnsXkyZORlJSEiooKPPDAAz77cL8IIR6mXnP+/HmfbcXFxZ7s7GzPSy+9pG07c+aMZ9iwYZ5Zs2b5PedXX33lGTJkiGfNmjVe2ydMmOB58MEHPZcvX655w5mgYrZfLFiwwDNkyBDPjz/+6LXvX/7yF8+QIUM8RUVF2jbuF5HLCy+84Hn44Ye1/1t519wvIhe5X5gdVzwe7heRjNwvRCZOnOiZNGmSZ/r06Z5hw4b5/M79IrREh1ppYUJL06ZNfbYlJCSgXbt2OHPmjLbt888/R2lpKYYNG+b3nJs2bUJCQgJ69+7ttX3AgAE4d+4c9u/fX/OGM0HFbL+Ija2OcGzUqJHXvldddRWio6O13wHuF5FMUlKS1xo0Vt4194vIRe4XZscVgPtFJCP3C+Jf//oX9uzZg6eeekr3WO4XoYWVBsaHS5cu4dChQ2jXrp22bc+ePUhKSsLx48fx7LPPYujQocjOzsasWbN8ljg/evQoUlJSfAYFchvSonZM3ULVL+644w4kJibirbfewsmTJ1FcXIwtW7YgLy8PgwYN8spp4H4ROVRVVaGyshIXLlzAJ598gu3bt+P+++/XfrfyrrlfRA7++oUK1bgCcL+IJMz0i59++gnz5s3DQw89ZLjuFPeL0MKJ0IwPc+bMQWlpqVcs4dmzZ1FWVobXX38dw4cPx2OPPYYDBw5g8eLFOHr0KKZOnaqtRl1UVOQTmwpUWxfod6buoeoXLVu2xLRp05Cbm4vHHntM2/7LX/7S6/8A94tI4q233kJeXh6Aam/T448/joEDB2q/W3nX3C8iB3/9QoVqXAG4X0QSZvrFW2+9hZSUFAwaNMjwXNwvQgsrDYwXixYtwpo1a/DEE094VbPweDwoLy/Hgw8+qC0yl56ejtjYWMybNw87d+5Ejx49QtVsJsjo9YtTp07h1VdfRdOmTfG73/0OTZo0wf79+7Fs2TKUlpbi2WefDWGrmWAxfPhw3HXXXbhw4QK2bNmCuXPnorS0FPfdd1+om8aEEKv9Qm9cYSILf/1iw4YN2LJlC2bMmKEZH5nwhJUGRmPp0qVYtmwZcnJyMGTIEK/fSIvPyMjw2n7TTTdh3rx5OHTokKY0JCUlKbV92kbnYuoGRv3ivffeQ0lJCd58800tFKlbt25o3LgxZsyYgX79+mmVtbhfRA5OpxNOpxMA0LNnTwDAggUL0L9/fzRp0sTSu+Z+ETn46xciRuMKwP0ikjDqF3FxcZgzZw6GDBmC5ORkXLx4EQBw+fJlAMDFixcRGxurzS/cL0IL5zQwAKoH8CVLlmDUqFHKEmd6Zcw8/39tQNE6kJaWhuPHj6OystJrX4o1bN++vU2tZoKNv35x+PBhpKam+qzHcM011wCoLslKcL+IXDp37ozKykqcPHkSgLV3zf0icpH7BeFvXAG4X0QyYr8oLCzETz/9hBUrViArK0v7s27dOpSWliIrKwt//OMftWO5X4QWVhoYvP/++1iyZAlGjBiBrKws5T633norAODrr7/22r5161YAwLXXXqtt69WrF0pKSrBx40avfQsKCpCcnIzOnTvb2XwmSJjpF82bN8d//vMflJSUeG3fu3ev9jvB/SJy2bVrF6Kjo7VYYyvvmvtF5CL3C8DcuAJwv4hkxH7RrFkz5Obm+vzJyMhAXFwccnNzkZOTox3L/SK0cHhSPeejjz7C4sWLkZGRgZ49e2rCHkdrrBkAABkBSURBVHHdddcBqA5L+tnPfob3338fHo8H1157LQ4cOID3338fN998M7p27aod07NnT/To0QOzZ89GcXExWrdujXXr1mHbtm144YUXlKXWmPDCbL+4++67MXnyZLz88ssYOnQoGjdujH379uGDDz5AamoqbrrpJu0Y7hd1n5kzZyIhIQGdO3dG06ZNUVhYiA0bNuDLL7/Efffdp4WgWHnX3C/qPmb7hdlxBeB+EQmY7Rfy4rAAsHr1akRHR/v8xv0itER5KL6EqZf8/ve/x549e3R/X7VqlfbvsrIyLF26FGvXrsX58+eRnJyM22+/HVlZWWjQoIHXcSUlJVi4cKHXMu/Dhw/nZd7rCFb6xa5du/DBBx/gyJEjuHTpEhwOB26++WYMHz4cjRs39jqO+0XdZvXq1Vi9ejWOHTuGS5cuIT4+Hh06dMBdd92Ffv36ee1r5V1zv6jbmO0XVsYVgPtFXcfKeCHzxhtvYOPGjVi+fLnPb9wvQgcrDQzDMAzDMAzDGMI5DQzDMAzDMAzDGMJKA8MwDMMwDMMwhrDSwDAMwzAMwzCMIaw0MAzDMAzDMAxjCCsNDMMwDMMwDMMYwkoDwzAMwzAMwzCGsNLAMAzDMAzDMIwhrDQwDMMwDMMwDGNIbKgbwDAMo8cvf/lLS/s7nU688847OHXqFB599FF069YNU6ZMCVLrwodjx47h3//+N7Zv344ff/wRP/30E6666ip06dIFQ4cORdeuXU2dZ8+ePRg/fjw8Hg8yMzPx9NNP++zjb1XfV155BTfddJPfa02YMAE7d+4EACxYsADNmjXz2ae8vBwrVqzAl19+iRMnTqCqqgotWrTATTfdhAceeMDnGLfbjVWrVuHAgQM4efIkCgsLERMTgzZt2uDWW2/F0KFDER8f73VMZWUlli1bhgMHDuDYsWMoLCzE5cuX0aJFC9x44424//774XQ6/d4PsWTJEixdulT7f4cOHfDmm29q/6e+KRMbG4vmzZujR48eGD58OFq2bOmzz+jRo+F2u/H2228rf583bx5WrlyJpk2b4rXXXkP79u2xe/dujB8/3udboO0icXFxaNSoEVq2bInOnTujb9++uO6660zfuxnounfccQeee+45W89tJ//3f/+Ht99+W/s/jS0MU59hpYFhmLDljjvu8Nn23Xff4cSJE+jQoQM6dOjg9Vvjxo1rq2lhxcsvv4yzZ8+iUaNG6Ny5M6677jocO3YMmzZtwubNmzF69GgMHTrU8BwVFRWYOXOm6WveeuutPgI4ADRv3tzvsatXr8bOnTsRFRUFj8ej3Ke8vBy///3vsX//fiQlJSE9PR0NGjTA/v378fHHH2PDhg2YNm2al/B85MgRrFixAs2aNUNKSgq6du2KixcvYt++fVi0aBHWr1+PKVOm4KqrrvK6ztKlS5GQkIC0tDR06tQJly9fxuHDh/Hpp59i7dq1eO2119CpUyfTzwYAunTpgtatW8PhcCh/j4+Px6233qr9v7CwEAcPHkR+fj7Wr1+PqVOnon379qav99e//hWrVq1C06ZNMXnyZLRr187UcU2bNkVGRgYAoKqqCkVFRfj++++xb98+rFq1CjfeeCOee+45pVIXyaSmpmrjzxdffBHi1jBMeMBKA8MwYYvKEvnGG2/gxIkT6NWrF0aNGqU8rnnz5pg9ezYaNmwY7CaGBampqXjkkUdw6623okGDBtr2zz77DLNnz8bf/vY33HjjjYaC5LJly/Djjz/izjvvxOeff+73mr/61a+U1m5/XLhwQWvPDz/8ALfbrdwvLy8P+/fvx7XXXotJkyahUaNGAKqVmz/96U/YsGEDlixZ4tVHOnXqhJkzZ/oI28XFxcjNzcXOnTvxwQcf4OGHH9Z+i4uLw9SpU3HttdciJiZG215ZWYnFixdj+fLlmDNnDv74xz9aus+77roLAwYM0P29cePGPv27tLQUr732Gnbu3IkFCxbg5ZdfNnWtuXPn4uOPP0azZs0wefJkpKammm5nSkqK8jv75ptv8Ne//hXbt2/H+PHj8ac//Ul7B/WBjIwMTZlipYFhquGcBoZhIo7Y2FikpqZaCiupy7z66qu47bbbvBQGABg4cCBuvPFGVFVVYcOGDbrH/+c//8GHH36IO++8E126dAlqW+fNm4eysjI89dRThvt98803AIChQ4d6CasNGjTAAw88AAA4cOCA1zHJyclK63yjRo00BXPXrl1ev8XExOD666/3Uhho+3/9138hLi4O+/btQ2lpqck7DJz4+HgMHz4cwJX7N8Lj8eCtt97Cxx9/jOTkZOTm5lpSGIzo2rUrpk6dirS0NBw/fhxLliyx5bwMw9Rd2NPAMEzEoZfTsHr1asyYMQNZWVno168f3nvvPezatQuXL19Gly5dMHr0aLRr1w6VlZX48MMPUVBQgNOnT6NFixYYOnQoBg8erHu95cuXY/v27Th37hwaNWqEbt26YeTIkT4hVLVNhw4dsH37dpw9e1b5u8fjwcyZM5GYmIiHH34Y//73v4PWlm3btmHt2rXIzs5G69atDfeVFSAVYpiRP6Kjq21ksbHWpr2oqChER0f7KBXBomnTpgCqPR1GkMLw2WefoXnz5sjNzUWbNm1sbUt8fDweffRRTJgwAfn5+XjwwQcRFxdn6thTp05hwYIF2L59OyoqKpCWloYHHnhAGdIGAOfOncO//vUvfPXVVzhx4gQKCwu1vJxhw4ahc+fO2r4VFRV46KGHUFZWhgULFiAxMdHnfJQ7ccMNN+C1114DUP3MvvzyS3z66af44YcfcOnSJTRp0gRt27bFz3/+c93vm2GYatjTwDBMvePUqVN44YUXcOjQIXTr1g0tW7bEtm3bMH78eJw/fx5TpkzBBx98gJYtWyI9PR2nT5/GnDlzkJ+f73Oub775Bs8++yzy8/MRHx+PW265BW3atMGmTZswduxYH8t2bXPy5EkA0I1J//TTT/Hdd9/hV7/6FZKSkkyf95///Cdmz56NOXPmYOXKlbphRkRpaSlmzZqFlJQU3HfffX7P36NHDwDVCanFxcXa9oqKCvz9738HAPTv399UW0tLS7VjzCRpA9UC5gcffICysjJ0797dlBJjB4cOHQJQHTZk1LbZs2fjs88+Q4sWLTBlyhTbFQbihhtuQJMmTVBaWurj2dHjxIkTGDt2LNatW4fGjRvjZz/7GTweD1599VV8+eWXymP+/e9/491338W5c+eQlpaGW265BcnJydi0aRPGjRuHbdu2afs2aNAA/fv3R3l5OdasWaM8H4XYuVwubdt7772HadOm4fDhw+jYsSN+/vOfo3Xr1vj+++/xj3/8w+QTYZj6C3saGIapd3zxxRe455578MgjjyA6OhoejwczZsxAQUEBXnrpJURHR2P27Nlo0aIFAGDnzp2YMGEC/v73v3sJIcXFxZg6dSrKy8vxu9/9Dr/4xS+033bs2IGJEydi+vTpmDdvXq0JnSInTpzAV199BQC45ZZbfH4/e/YsFixYgO7duyuTzo1YtmyZ1//nz5+PESNGYOTIkcr9Fy9eDLfbjdzcXFPPol+/fti6dSs2bNiARx99FNdddx1iY2Oxf/9+lJSUICcnx+tdiFy8eBHz5s0DUJ1gvG/fPhQVFeGWW27BPffco3vNd999F+fPn0dJSQmOHDmCEydOICUlRVlFym4KCwuxZ88ezJ8/H1FRURg2bJjuvnPnzsXWrVvhcDiQm5uLVq1aBbVtHTp0wI4dO3Ds2DFTlbjeeust/PTTTxg0aBCeeOIJzcuTn5+vm2zfpUsXvPnmmz6euW3btuHVV1/FnDlzMHfuXERFRQEAMjMzsWLFCnz++ec+HoKLFy9i48aNSEpKQq9evQBUJ7yvXLkSTqcTf/7zn70U5MrKSnz33XfmHwjD1FNYaWAYpt7RunVrPPzww5owExUVhXvuuQcFBQU4duwYJk+erCkMQLW19eqrr8bhw4dx6tQpLQH4n//8J86fP4/hw4d7KQxAtaV80KBBWLlyJb766iuvSjm1QWVlJf785z+joqICffr0UVb/mTNnDsrLy/3mF4h07doVd911F7p06YJmzZrhzJkz2LBhA5YtW4bFixejUaNGuPvuu72OOXjwIFauXIk77rgD6enppq4TExODF198EU6nEx999JGm/FAbrr/+et1jS0tLfZJXf/GLX+DJJ580TI7fuHEjTpw4of2/ffv2eOGFF4IilLvdbmVJ4datW+O5557TknBVbN26FQAwZsyYoCsMwJWqZBcvXvS774kTJ7B9+3ZcddVVmlJOuFwuFBQUKAX0tLQ05fkyMjLQu3dvrFmzBkePHtX2a9u2Lbp3745du3bh4MGDXv17zZo1KC8vx6BBgzQFtbi4GBUVFejQoYOPRy0mJgbdunXze28MU9/h8CSGYeod3bp184lRJ+ErNjZWKUBQDP758+e1bTt27AAAzZopQ4Kt2bAOO5k7dy6+/fZbtGrVSqkUbNy4EZs3b8awYcMMQ2FksrOz0a9fP7Rq1QoNGzZE27Zt8cADD+Cll14CUL1OQVlZmbZ/ZWWlljPxq1/9yvR1Ll68iAkTJuDTTz/FY489hnfffRdLly7FSy+9hFOnTmHChAnYtGmT8tgWLVpg1apVWLlyJf72t7/h2Wefxbfffotf//rXOHjwoO41qWzpokWLMHHiRDRo0ADPPfccCgoKTLfbLPHx8bjjjju0P71790bHjh1x4sQJvP322zh69KjusZSs/pe//EULPwsmVBaXrPxGkELQs2dPZf5Cnz59dI+tqKjA5s2bsWDBAsycORNvvPEG3njjDRw5cgQA8OOPP3rtn5mZCQA+YYP0/7vuukvb1rRpU7Ro0QJbt27FP/7xD90cH4Zh9GFPA8Mw9Q7VWgIk4DRr1szLOkqQhbqiokLbdurUKQDACy+8YHi9wsJCv23Kz8/Ht99+67WtcePGGD16tN9jZZYuXYrPPvsMTZs2xcSJE30sq8XFxZg7dy7atGmjVeupKRkZGejUqRMOHjyIffv2oXv37gCAlStX4tChQ3j22WfRpEkT0+ebN28e9uzZg8cee8zLc9GrVy80b94cY8eOxbx58/Czn/1MN0k5KioKDocDd955J9LS0jB27FjMmDEDb775pqEA3KRJE2RkZODaa6/Fr3/9a8yePRvdu3fXXXMhEFQlV4HqcJxJkybhpZdewty5c5VJvr/5zW8wb948fP3113jppZfwv//7v6bWxwgU6r9mEs9JGNd7Vnrbjxw5gldffdUwN6akpMTr/z//+c/RtGlTrF27FqNHj0Z8fDz279+PI0eO4Prrr/epJPXf//3fmDZtGubPn4/58+ejZcuW6Nq1K2677TZDzw7DMNWw0sAwTL3DSGA0Y00lqqqqAFSHvhiFvYiVX/T49ttvfUJqnE6nZaXhk08+wZIlS5CYmIiJEycqE2QPHTqEc+fOwel04g9/+IPXb+RJ2bJlC44fP47WrVvj2WefNXXtNm3a4ODBgzh37py2bcuWLYiKikJBQYHP/dG1cnNzERsbi+zsbHTt2hWVlZVYt24dAPiEfQHANddcg5YtW+LEiRM4efIk2rZt67dt11xzDdq2bYsjR47g1KlTpsJ6EhMTcfPNN+PTTz/Fjh07cOedd/o9pqZkZGSgV69e2LBhA7744gtlCFNsbCx+//vf45VXXsGePXswYcIEvP7665aUMit8//33AGB6wTireDweTJ06FW63GwMHDsTAgQPRsmVLJCQkICoqCgsWLMDy5ct9FgKMjY3FgAED8MEHH2D9+vUYMGCAMgGauOGGG/DXv/4VW7ZswbZt27Bnzx588cUX+OKLL9C7d2+MGzcuKPfHMJECKw0MwzAB0qJFC/zwww8YMWJEjUurPvfcc0rLsxXWrFmDuXPnomHDhvif//kfXH311Yb7u91uXcvuuXPncO7cOVy6dMn09SnmPSEhwWu7x+MxXHdg7969AK5YtC9cuIDLly8rz0XQ9qKiItPto9j8CxcumM4FEI+pLShn5ocfftDdp2HDhnj55Zfx8ssvY//+/fif//kf5ObmKj0TNWHHjh0oLCxEQkKCqVWxk5OTAQCnT59W/q7afvz4cRw/fhydOnXCmDFjfH43CsFyuVz48MMPkZ+fj1/84hdYt24dEhMTlcomUL1mx+23347bb78dQHXfmzp1KtavX4/+/fujZ8+e/m6RYeotrDQwDMMEyA033ICdO3di8+bNIV+PYevWrfjzn/+MmJgYjB8/3jBROD09HatWrVL+RmtZZGZmWqoadOHCBS28qmPHjtp2cZ0MmdGjR8PtdmPBggVeJWGTkpIQGxuLy5cv4+DBg1qoE1FcXKwJ1GYX8CsuLsbhw4cRFRVlaSXrPXv2AIDfdSXshIRkvTUNiEaNGuGVV17B+PHjcfjwYUycOBGTJk3ye5xZSktL8c477wCoXijQTNUryrfYunUrSktLfdqiKrlKyqZYfED8jXKHVLRq1Qo33ngjtm3bhkWLFqGkpASDBw82vRr8ddddh379+mH58uU4evQoKw0MYwAnQjMMwwTIwIED0aRJEyxfvhyrV6/2CZ+gKj5nzpwJaju+/fZbTTj/7W9/G7T47L1792LXrl0+93nq1ClMnjwZpaWluOWWW5TCnxUaNGigrafwzjvveIU7lZeX46233kJZWRm6dOmiWbaB6tAsCqUROXv2LKZNm4aSkhL07NlTW0ANqF4fYOvWrcp3t2DBAuzZswfNmjWrtZj3bdu2YfPmzQDMrSmRlJSESZMmoU2bNvjuu+8wefJkr7ybQPnmm28wbtw4HDlyBO3atcOIESNMHdemTRvccMMNuHjxIt577z0thA+oVkhVlZNat26N6Oho7Nq1yyvZuby8HLNmzfLrTaKE6JUrVwLwToAm3G43Vq9e7bOyd0VFhbaWip05KwwTibCngWEYJkCuuuoqjB8/Hq+99hpmzJiBpUuXol27dmjQoAFOnz6N48ePo7S0FDNmzKixIG3EpEmTUF5ejpYtW2Lz5s2a0Cly/fXX665rYJbjx49jxowZSE5ORps2bbSSq4cOHUJ5eTnatWuHZ555pkbXIEaPHo19+/bh8OHDePLJJ3HdddchLi4OBw4cwLlz55CUlOTjCVm/fj3mzJmD1NRUpKSkIDY2FmfOnMHBgwdRUVGhbN+hQ4ewdOlSJCcn4+qrr0ZiYiLOnz+P77//HkVFRUhMTMS4ceN0w6QCpbCwEG+88Yb2//Lycpw4cUJb3G3QoEGmy9M2a/b/2rt7kGTXMA7g//NaZk8EfZhmNCh9GBURgoESLX2YWUsELQZRLQVRLWE01hI0VC6OttQUBH1RuNQmlInyoFkQ5CQUfRlKg73D4Q16K0+d13Oi+v9mP+6b51n+3Nd1X7mYmpqCzWaD1+vFzMwMJiYmnjSIv9TcD/z9TH+tI5FIIBqN4vT09LGhWafTYXR0FIIgvHlvQ0NDGB8fx/r6Og4PD1FSUoJIJIJQKASz2Yytra0nn8/JyUFzczO2t7cxPDyMmpoaZGRkQBRFJBIJNDY2Jr3Bqq6uDvn5+bi4uEBZWdmLZXnRaBTz8/NwOBwoLS2FXC5HPB5HMBjE9fU1ysvLYTAY3rxHou+IoYGI6A9UVlbCbrdjdXUV+/v78Pl8kEgkyMvLg16vh8FgeHaLS6r96juIRCKPNzq95E9Dg1arhdlsRigUQjgcRiAQgEwmg0ajQX19Pcxm85vLQv6JSqXCwsICVlZWcHBwAFEU8fDwALlcDovFgq6urmdBrLOzEyqVCsFgEH6/H7FYDIIgQKvVwmg0wmQyQSqVPvmOwWBALBaDKIo4OTnB7e0tpFIpVCoVWltb0d7e/uQ0I1V+nyXx48cPZGdnQ6fTwWQyvXuuh0KhwPT0NGw2G9xuN+bm5jA2Nob7+3sAePW5XF1dPa4jPT0dWVlZUCqVMBqNaGhoQEVFxbv3VlRUhNnZWSwuLsLr9cLtdkOtVmNychKCIDwLDQAwODiI4uJi7OzswOfzQRAE1NbWoqenBy6XK+n/SSQSVFVVYW9v79V3vLCwEH19ffD5fDg7O8Px8TFkMhmUSiW6u7vR0tLyIQMYiT6Tvx5+P5MlIiKif2VpaQnLy8sYGRlBU1PTRy8HGxsbcDgcaGtre9cQv88kHo+jt7cXiUQCTqfzXacib9HR0QGFQvHY30H0XfGkgYiIKMV2dnbg9/tRUFAAq9X6IWuIxWKPZT1vLXX6jDY3N3F3dweLxZKywODxeLC7u5uS3yL6KhgaiIiIUiwQCCAQCECj0fzvoUEURaytreHo6Ajn5+fQaDSvTi3/rG5ubuB0OnF5eQmPx4PMzMyUDSoEgHA4/GyuCNF3x/IkIiKiL8TlcsFutyM3Nxd6vR5Wq/U/G/z2USKRCAYGBpCWlga1Wo3+/n5UV1d/9LKIvjSGBiIiIiIiSopzGoiIiIiIKCmGBiIiIiIiSoqhgYiIiIiIkmJoICIiIiKipBgaiIiIiIgoKYYGIiIiIiJKiqGBiIiIiIiSYmggIiIiIqKkfgImiXeiDKdlDgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "flat.errorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's run a period search function using the Box-Least Squares algorithm (http://adsabs.harvard.edu/abs/2002A%26A...391..369K). We will shortly have a built in BLS implementation, but until then you can download and install it separately from lightkurve using" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`pip install git+https://github.com/mirca/transit-periodogram.git`" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "from transit_periodogram import transit_periodogram\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "periods = np.arange(0.3, 1.5, 0.0001)\n", "durations = np.arange(0.005, 0.15, 0.001)\n", "power, _, _, _, _, _, _ = transit_periodogram(time=flat.time, \n", " flux=flat.flux,\n", " flux_err=flat.flux_err,\n", " periods=periods, \n", " durations=durations)\n", "best_fit = periods[np.argmax(power)]" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best Fit Period: 0.8374999999999408 days\n" ] } ], "source": [ "print('Best Fit Period: {} days'.format(best_fit))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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