{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Finding the best fit rotational broadening and radial velocity\n", "\n", "Often in astronomy we have a data spectrum and we want to answer the question: \n", "*What is the best fit $v\\sin{i}$ and RV for this data?*\n", "\n", "In this demo we will show some simple ways to use `gollum` to find the model with the best fit rotational broadening and radial velocity, assuming a fixed template." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from gollum.phoenix import PHOENIXSpectrum, PHOENIXGrid\n", "import numpy as np\n", "import astropy.units as u\n", "import matplotlib.pyplot as plt\n", "from tqdm.notebook import tqdm\n", "%config InlineBackend.figure_format='retina'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### For this demo we will need some real world example data\n", "\n", "Let's use data of an A0V star from [HPF](https://hpf.psu.edu) and our sibling package [muler](https://muler.readthedocs.io/en/latest/). \n", "\n", "You can get free example data from the [muler example data GitHub repository](https://github.com/OttoStruve/muler_example_data)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from muler.hpf import HPFSpectrumList, HPFSpectrum" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "local_file = '../../../muler_example_data/HPF/01_A0V_standards/Goldilocks_20210517T054403_v1.0_0060.spectra.fits'\n", "raw_data = HPFSpectrumList.read(local_file)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def data_clean(data):\n", " \"\"\"Clean the HPF data with standard post-processing techniques\"\"\"\n", " data = data.sky_subtract(method='vector')\n", " data = data.deblaze()\n", " data = data.trim_edges((4, 2042))\n", " data = data.normalize()\n", " data = data.stitch()\n", " return data" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "full_data = data_clean(raw_data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a final step, we will mask the telluric absorption lines. This step can sometimes benefit from hand-tuning." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "data = full_data.mask_tellurics(threshold=0.999, dilation=13)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will restrict our fits to the region with the highest density of H lines." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "data = data[8500*u.Angstrom:8950*u.Angstrom]\n", "data = data.normalize()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 280, "width": 621 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = data.plot(marker='.', linestyle='None');\n", "ax.set_xlim(8500, 8950);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK, that's our data spectrum against which we will compare models. You can see large voids in the spectrum due to our telluric masking-- that's fine, the data need not be contiguous or evenly sampled to estimate a best fit model. We will resample the model to the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can choose 3 dimensions in our grid: $T_{\\mathrm{eff}}, \\log{g}, \\left[\\frac{\\mathrm{Fe}}{\\mathrm{H}}\\right]$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "template = PHOENIXSpectrum(teff=9_600, logg=4.5, metallicity=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then want to rotationally broaden and RV shift the spectrum. We'll try some guesses first:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "guess_vsini = 150\n", "guess_RV = -50" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "spec = template.rotationally_broaden(guess_vsini)\\\n", " .rv_shift(guess_RV)\\\n", " .instrumental_broaden(resolving_power=55_000)\\\n", " .resample(data)\\\n", " .normalize()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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VH5yIn2g6pIiIiIiIiIh4adq0KZ988glDhw5l27ZtPPnkkx77ly5dyi233EKvXr1o0KABkZGRdOzYkTvuuINDhw559B06dChXXHEFAFdccYXHFMz4+HgAdu7cyaOPPsqgQYOIjY0lPDyc5s2bM3bsWFavXl0p37MEN40EExERERERERGfHA4HDz74IHPmzOHjjz9m0qRJGGMAePvtt/nqq6844YQTGDFiBE6nk2XLlvH8888zffp0Fi1aRHR0NACXX3459erV45tvvuGMM86gd+/eedeoV68eAPPmzePpp59m2LBhnHPOOdSpU4f169fzxRdf8O233/Lbb7/Rq1evyv4RSBBREkxEREREREREijR48GBCQ0PZu3cv8fHxtG3bFoD77ruPV199lZCQEI/+7777LldffTWvvfYa99xzD+BOggF88803nHnmmXnbBQ0fPpw9e/bkJc5yrVixgkGDBnHvvfcyffp0/3+DUmMoCSYiIiIiIiJSQNy9PwQ6hFKLf/qUCr9GREQEDRs2ZM+ePezbty8vCdamTRuf/a+88kpuv/12ZsyYkZcEK42i6o316tWL4cOHM3PmTLKysggLCyv7NyGCaoKJiIiIiIiISAmstQB5UyEBsrKyeOWVVxg8eDANGjQgJCQEYwwOh4OkpCR27NhR5uv88MMPnHbaaTRr1oywsLC8umHfffcdGRkZ7N+/32/fk9Q8GgkmIiIiIiIiIkVKT0/n4MGDADRu3Div/YILLuCrr76iXbt2nHHGGcTGxhIREQHACy+8QEZGRpmu89JLL3HLLbdQv359Ro4cSevWrYmKisIYw9dff82KFSvKfE6RgpQEExERERERESmgMqYYVicLFiwgOzubpk2bEhcXB8CSJUv46quvGDFiBD/++KPHFEWXy8UzzzxTpmtkZ2czfvx4YmNjWbZsGc2aNfPY//vvvx/x9yGi6ZAiIiIiIiIi4pPL5eKJJ54AYOzYsXntGzZsAOD000/3qtH1559/kpaW5nWu3AL6TqfTa9/+/ftJSEhg4MCBXgmww4cPs2zZsiP7RkRQEkxEREREREREfNi7dy8XXnghc+bMoXXr1tx///15+3JHhM2ZM8frmBtvvNHn+Ro2bAjA1q1bvfY1adKEqKgoli5dyuHDh/Pas7KyuOWWW1QLTPxC0yFFREREREREargJEyYA7pFfCQkJrFy5kgULFpCZmcmAAQOYOnUqjRo1yut/9NFHM2jQIKZNm8bAgQMZPHgwe/bsYfr06XTu3JnmzZt7XeO4444jKiqKF154gYMHD9K0aVMAbrrpJmJiYrj55pt5+umn6dmzJ2eccQaZmZnMnj2bgwcPMmzYMGbPnl0pPwsJXkqCiYiIiIiIiNRwjzzyCADh4eFER0fTpk0bLrvsMs455xxOOukkHA7PiWQhISF8++23PPjgg/z444+89NJLtGjRgquvvpoHH3yQbt26eV2jfv36fPnllzzyyCNMnjyZlJQUAC655BJiYmJ47LHHaNy4Me+88w5vvvkmMTExjBw5kscff5zx48dX/A9Bgp7JXeZU/MsYs7Rv3759ly5dGuhQREREREREpIDVq1cD0LVr1wBHIiK5Svt72a9fP5YtW7bMWtuvrNdQTTAREREREREREQl6SoKJiIiIiIiIiEjQUxJMRERERERERESCnpJgIiIiIiIiIiIS9JQEExERERERERGRoKckmIiIiIiIiIiIBD0lwUREREREREREJOgpCSYiIiIiIiIiIkFPSTAREREREREREQl6SoKJiIiIiIiIiEjQUxJMRERERERERESCnpJgIiIiIiIiIiIS9JQEExERERERERGRoKckmIiIiIiIiIiIH8XFxREXFxfoMMotPj4eYwyXX375EZ1nzpw5GGOYMGGCX+I6UkqCiYiIiIiIiNRQxhiPR0REBI0bN6Zv375cffXVTJ8+HafTWelxTZgwAWMMc+bMqfRrB0JcXFzev8Hs2bOL7HfFFVfk9asqiaXqJDTQAYiIiIiIiIhIYI0fPx4Ap9NJQkICK1eu5IMPPuDdd9+lf//+TJ06lU6dOgU4yuAXGhrK22+/zbBhw7z2JSUl8dlnnxEaGkp2dnYAoqv+lAQTERERERERqeF8jSras2cPN910E59//jkjRoxgyZIlNGnSpPKDq0FOPfVUpk2bxoEDB2jYsKHHvqlTp5KamspZZ53FV199FaAIqzdNhxQRERERERERL02bNuWTTz5h6NChbNu2jSeffNKrz/r167nsssto0aIF4eHhNG/enMsuu4z169f7PKfT6eSNN95g0KBBxMTEUKtWLTp06MDVV1+dd0xcXByPPPIIAMOGDfOYrlnQrl27uPHGG4mLiyM8PJzGjRtz9tlns3TpUq/rTpkyBWMMU6ZM4aeffmLo0KHExMR4nDM7O5vXXnuNY489lrp16xIVFUWfPn145ZVXcLlcXue01vLKK6/QvXt3IiMjadGiBf/3f/9HYmJi6X/IhVxzzTVkZGTwwQcfeO17++23adWqFaNGjSry+LL8TACSk5O5/fbbadmyJZGRkXTp0oXnn3/e5/ebKzU1laeeeorevXtTu3Zt6tSpw3HHHcfHH39c9m+4kmkkmIiIiIiIiIj45HA4ePDBB5kzZw4ff/wxkyZNykscLV68mBEjRpCcnMzpp59Ot27dWLNmDVOnTuWbb77hl19+oX///nnnyszM5JRTTmHWrFm0atWKsWPHUrduXeLj4/nqq68YPHgwHTt25NZbb+Xrr79m7ty5jBs3zmeB+c2bNzN48GB27tzJ8OHDueiii9i2bRuff/45P/zwA19++SWnnnqq13FffPEFP/30E6NHj+b6668nPj4egKysLE477TRmzJhB586dGTt2LJGRkcyePZubbrqJRYsWeSWmbr31Vl566SWaNWvGtddeS1hYGN988w2LFi0iMzOT8PDwMv+8R44cSVxcHO+88w633nprXvvSpUtZvnw548ePx+HwPZ6prD+TjIwMTjzxRBYvXkyvXr24+OKLSUhI4LHHHmPu3Lk+r5GQkMDw4cNZvnw5ffv25corr8TlcjFjxgzGjh3LypUrefzxx8v8fVcaa60eFfAAlvbt29eKiIiIiIhI1bJq1Sq7atWqQIdRJQDWnRooWnp6ug0NDbWA3bRpk7XWWpfLZbt06WIB++GHH3r0/+STTyxgO3fubJ1OZ177fffdZwF72mmn2fT0dK9r7N27N297/PjxFrCzZ8/2GdNJJ51kAfv44497tP/22282JCTENmjQwCYnJ+e1T5482QLWGGOnT5/udb7c6/3f//2fzc7OzmvPzs62V155pQXs119/7XEdwLZv394eOHAgrz0tLc0ee+yxFrBt2rTxGbsvbdq0sYDNysqyjz32mAXswoUL8/Zfd9111uFw2C1btti3337bAnb8+PFH9DN54oknLGDPPvtsj3+nTZs22fr161vAjhs3zuNc48aNs4D973//69GelpZmTz75ZGuMscuXL89rnz17ts9YfSnt72Xfvn0tsNSWI1ejkWAiIiIiIiIiBU2ICXQEpTeh/FPvSisiIoKGDRuyZ88e9u3bR9u2bVm4cCFr1qzhuOOO4+KLL/bof8EFF/DKK6+wYMECFixYwPHHH4/T6eS1116jVq1avPHGG0RERHhdo3HjxqWKZ/v27cycOZPWrVtz9913e+wbOHAgF110ER9++CHTpk3jsssu89h/xhlneE0ndLlcvPLKK8TGxjJp0iRCQkLy9oWEhPDcc88xefJkpk6dyhlnnAHA5MmTAXjggQdo0KBBXv/IyEieeuopn4XtS+vKK69kwoQJvP322xx33HGkpKTw0UcfcfLJJ9O6dWu//UwmT56Mw+HgmWee8Rhd1rZtW26++ea8Kam5Dhw4wIcffkj//v29rhEZGcl///tfZsyYwUcffUTv3r3L/f1XJCXBRERERERERKRY1j3jKW8q5LJlywAYPny4z/7Dhw9nwYIFLF++nOOPP541a9aQmJjIMcccQ/PmzY8oluXLlwMwZMgQwsLCfF77ww8/ZPny5V5JsAEDBnj1X7duHQcOHKBjx45FTuWrVasWq1evztvO/f5POOEEr75DhgwhNLT86ZbmzZszZswYPvvsM1544QU+//xzkpOTueaaa4o8pqw/k+TkZDZs2ECrVq1o3769V/+hQ4d6JcEWL16M0+nEGONzIYWsrCwAj59TVaMkmIiIiIiIiIgUKT09nYMHDwLkjdbKLf7erFkzn8fktickJHh8bdGixRHHU9ZrFxQbG+vVduDAAcBd5L9w4qegw4cPe8XQtGlTr34hISFeKzuW1TXXXMN3333Hxx9/zOTJk4mNjeW0004rsn9ZfybFxQ/F/5wWL17M4sWLi4yl4M+pqlESTERERERERKSgSphiWJ0sWLCA7OxsmjZtmlekPibGPWV09+7dPo/ZtWuXR7969eoBsGPHjiOOp6zXLqjwCpMF+5111llMmzatTDHs2bOHdu3aeexzOp0cOHDgiBJ+Y8aMoUWLFjz++ONs376d++67r9jRZWX9mRSM3xdf58k95rbbbuP5558v5XdStfheUkBEREREREREajyXy8UTTzwBwNixY/Pa+/TpA8CcOXN8Hpfb3rdvXwC6dOlCvXr1+Pvvv9m5c2eJ182ty+V0Or325V47NzlX2OzZsz2uXZLc2P7444+8KX0lyT23r1UU58+f7zOusggJCeHKK69k+/btGGO46qqriu1f1p9JdHQ0HTp0YMeOHWzcuNGrv69/1wEDBuBwOJg/f35Zv50qQ0kwEREREREREfGyd+9eLrzwQubMmUPr1q25//778/YNGjSIzp07s2DBAr744guP47744gvmzZtHp06dGDx4MOBO6txwww2kpaVx/fXXk5GR4XFMZmYm+/bty9vOnU64detWr7hatmzJyJEjiY+P54UXXvDYt2jRIj766CPq16/PWWedVarvMzQ0lJtuuoldu3Zx8803k5aW5tVn165drFq1Km/78ssvB+CJJ57ImyoK7qmj9913X6muW5Kbb76Zr776ihkzZvis21VQeX4mV1xxBS6Xi3vuuQeXy5XXvnnzZl566SWvazRp0oSLL76YJUuW8Nhjj/lMtm3cuJHNmzeX8TutPJoOKSIiIiIiIlLD5RY6d7lcJCQksHLlShYsWEBmZiYDBgxg6tSpNGrUKK+/MYb//e9/jBw5kgsuuIAzzjiDLl26sHbtWr7++muio6N5//33PVYdHD9+PIsWLeK7776jU6dOnHrqqURHR7Nt2zZmzpzJxIkT85JLw4YNw+FwcN999/Hvv/9Sv359AB588EEA3njjDQYNGsRdd93FzJkz6d+/P9u2bePzzz/H4XAwefJkoqOjS/39P/TQQ6xYsYI33niD7777juHDh9OiRQv27t3L+vXr+e2333jiiSfo1q0b4E4C3nTTTbz88sv06NGDc889l7CwML755hvq169fZG2usmjUqBFnnnlmqfuX9Wdyxx138PXXX/Pll1/St29fTj75ZBITE/n00085/vjj+fbbb72u8corr7B+/XoefvhhPvjgAwYPHkzTpk3ZuXMnq1evZvHixXz88ce0bdv2iL//CmGt1aMCHsDSvn37WhEREREREalaVq1aZVetWhXoMKoEwOMRHh5uGzZsaPv27WuvvvpqO336dOt0Oos8fs2aNfaSSy6xsbGxNjQ01MbGxtqLL77Yrlmzxmf/rKws+/LLL9ujjz7a1q5d20ZFRdkOHTrYa665xq5fv96j7wcffGB79eplIyMj8+IraPv27fb666+3rVu3tmFhYbZhw4b2jDPOsH/++afXdSdPnmwBO3ny5CK/F5fLZd9//307fPhwW79+fRsWFmabN29uBw0aZJ944gm7detWr/4vv/yy7dKliw0PD7fNmjWzN9xwg01ISLBt2rSxbdq0KfJahbVp08YCNisrq8S+b7/9tgXs+PHjvfaV5WdirbWJiYn2tttus82bN7cRERG2c+fO9tlnn7UbN260gB03bpzXMRkZGfbll1+2xx13nK1bt64NDw+3rVq1ssOHD7eTJk2y+/fvz+s7e/bsImMtrLS/l3379rXAUluOXI2xOcucin8ZY5b27du379KlSwMdioiIiIiIiBSwevVqALp27RrgSEQkV2l/L/v168eyZcuWWWv7lfUaqgkmIiIiIiIiIiJBT0kwEREREREREREJekqCiYiIiIiIiIhI0Kt2STBjzLnGmJeNMfONMUnGGGuM+TBQ5xERERERERERkaovNNABlMODQC/gMLAd6BLg84iIiIiIiIiISBVX7UaCAbcBnYC6wH+qwHlERERERERERKSKq3Yjway1s3OfG2MCfh4RERERERERESk/a22lXKc6jgQTERERERERKbfcgRAulyvAkYgI5CfBKnqQUrUbCVbVGGOWFrFLNcZERERERESqoIiICNLT00lJSSE6OjrQ4YjUeCkpKYD7d7MiaSSYiIiIiIiI1Ci5ia/du3eTnJyMy+WqtOlYIuJmrcXlcpGcnMzu3bsBKjwprZFgR8ha289Xe84Isb6VHI6IiIiIiIiUoEGDBqSkpJCamsr27dsDHY6IAFFRUTRo0KBCr6EkmIiIiIiIiNQoDoeDVq1acfDgQZKTk8nIyNBIMJEAMMYQERFBdHQ0DRo0wOGo2AmLSoKJiIiIiIhIjeNwOGjUqBGNGjUKdCgiUklUE0xERERERERERIJeUI8EM8aEAe2BLGvtxkDHIyIiIiIiIiIigVHtkmDGmDOBM3M2Y3O+HmeMmZLzfL+19s6c5y2A1cAWIO4IziMiIiIiIiIiItVYtUuCAb2BcYXa2uU8wJ3wKk3yyl/nERERERERERGRKq7a1QSz1k6w1ppiHnEF+sYXbivPeUREREREREREpHqrdkkwERERERERERGRslISTEREREREREREgp6SYCIiIiIiIiIiEvSUBBMRERERERERkaCnJJiIiIiIiIiIiAQ9JcFERERERERERCToKQkmIiIiIiIiIiJBT0kwEREREREREREJekqCiYiIiIiIiIhI0FMSTEREREREREREgp6SYCIiIiIiIiIiEvSUBBMRERERERERkaCnJJiIiIiIiIiIiAQ9JcFERERERERERCTohQY6ABERERGpJM4sSD0Ah/fCoXiIiIZGnSCmRaAjE6m5MlMgcbv7qzPT/QiLguZ9wBES6OhERIKKkmAiIiIiwWrrIvj5Ydj2R8l9B1wLA66DOk3AONwfwh2aNCDid+tmwLyJsH1x8f2OuR5G/7dyYhIRqSGUBBMREREJFlnp8Oeb7sRXWf35lvuRq34cjP0cGnfyW3giNdamufD5OEg7VPpjNv5acfGIiNRQSoKJiIiIVFfWwpaF8O3/wcFNpT+uVgNIO1h8n0PxsPgdOPlJCNFbRpEysRb+/RK+vKpsxzXtCXv+cT/PSofd/0CdWKjT2P8xiojUQHpHIyIiIlLd7FkJrw8sff/YnnDSE9DyaAiPym+3FlZ+BdPvhoxkyE73PO7PN92JMOuEoy6Es94AY/zzPYgEk8xUWDrZ/bu5ZSEc2lzyMW0Gw6gnoUk3CAlzt+1bB68e7X6euBXeGJzff3zCkf/+LZ0CP4+H9ET3tOeCj8ad4Ky3oEmXI7uGiEgVpiSYiIiISHWQlQb/fOEe9VUafcfBieOhdkOfu10uS3J6NjE9zoYeZ+fv+Osj+Po/+dvW6f769yfuB8B9291F9QvZdjCVpVsOMaJbU+pE6G2m1CBLp8CM+0vu12kUnPYiRMf63h/VAExI/u9dQY/Ug/5XQrczwBHqfpgQaNQBatUvXZxzn4H0BPdz6/S8zq4VsORdGDOxdOcSEamG9O5ERESkjNIynUxdtIXwUAcXHt2aOWv3cu0HS2nVoBan92rO7xsPcNGA1pzXv1WgQ5VgMamne1RIcWJ7whmvQrNePnc7XZYHvvqH9XsPc8fITjzw9b9s3p9Cr5YxvHlpfz74I56Ne1O4c+gwOnQ+Bbb8lv9hubCnWrq//mchNO0OQEpGNmNenE9yRjYjuzXl7cv6l/ObFalG9q6GfWtg3fSi+xx9DYyYABF1Sj5f7UYw5hlY/iFkZ8DeVZ77l7znfhQUFgWX/wAt+pZ8/ozDxe8/uAl2LofajSGmZcnnExGpZpQEExGRmmvvalj5dc4UMOueGoZ177MFv1p3n4hoaNGfRat3smPZv4wN+ZU1fx3Niu3hwBlsO5jGq7M3ArBsawJJ6dlcNbht5X9fEjySdsLzXYve37gLXPMrhNfmYEomDWqH++yWkpHNnLX7+GTxNgDGvrMob9+K7Ykc+9QvedsZ2U4mX/ERAMu2HuLbNx9mQtj7vq+fOyXz3q38uSWD5IxsAH5etae036FI9WMtfHElrJzme3/vS6DTSdC8D9RrXfbzH321+wHuaYtPl3COrFRY/V3pkmAF3bURIuq6R3h+e5O7bcMs9yPXoFtg5KNlO6+ISBWmJJiIiNRMWekweUzJxcF9GAoMzSnfwp4dHBUGd4V9xixnH67Ouiuv32Pfr6JH87oc0873dDSRYv3yKMx/zrvdOKDlALjiR3CEAHDvl3/zyeJt9GpVj+fP70X7xnVYEn+Qeev2sWDDfv7aloDLlu6ys9fuy3v+7oLN/OAcxRTnKFqbPcyLuM33QU+3ZnBYNPBmGb9JkWrEWnh7mHukVHF6j4W4Qf65ZmQMTEiE316C7Yvdtftc2eByQuI29wPcK0lmpbrbrTP/69qfIHU/1GkKzkzISMw/tyMUQsOhfjE3a3570f04+x2+tYN49dcNdG9el+cv6O2f709EpJIpCSYiIkEvPcvJvzsS6dO6PiGOnKLCSTvKlQArzoiQ5cSHjOWMjEdZYTsAcMFbf3DPqC5cf0I7jAqKS2lY667948tNy6Bhe4+mjGxn3givFdsSOPG5uTx8ajcmzlhLWpaPukKllOV08cPfu/K2t9qmLL1iM2t3HuT8GUcTisujf1hWMn9HXMVRGe+W+5oiVZK18O5JsP3Povu0P9Fd5ytuCLQpw6IVJV7a8vRPa/h8SVdGdh3KU5f0zN/524s4fhnvfr7rL/ejKIcLjc50hEFIzsjRNoNg2IPuRJozE3Ys8T5+2tWcDjyT8QLT9jTh1hGdaN0wyrufiEgVZ6wt5W1BKRNjzNK+ffv2Xbp0aaBDERGpGayFBZNg02z3HXBnFriyyczKJHzfv+y19XCZMGLrRoB1gSsLUnJGvNSqDwNvBmNYv+cwXyzbgQXCQ0O48+QuZB/YTOaq6eyNao/LhLJqTxrZOKhNBiNDfL/Or3W15OTMZzza7hnVhdiYCA4czuS8fq2IiQrzeazUYAc2wstFTGmakMg78zfx0Z9bOalbLPeM6owxhvQsJ10e+smvYSx+YAQRYQ6OmjCzyD4RZLI28nKf+4ZmPMecp672a0wiFW7zfPe0Qmdm/mirTbMheVfRx5w72XNhiUL2JWcQHuogplb5Xu/Peu03lm9N8LlvqGM5U8LLUcQ+JAIG3wbD7vPa9e+ORE59eQEXhvzK02HvFHmKPy5ey7EdiyjuLyJSwfr168eyZcuWWWv7lfVYjQQTkWrlwOEM1uxO5th2DfNH9IiAu4j3L494NedWSGpiEtxPknwcG90MhtwOwILfNvOmM6cQsRPuHHgKE39czZuHToRDPo7NgrMc85kU/rpHc2fHduIjx9Ih/X2yc/7c/venNXn7/9h0kHfGqXC4FPDrEzDvGe/2U1+A/leQ5XTx+A+rAXhj7kbO7tuCf7Yn8mnOKDB/2nowlY5Niy/inUE4cekf8VHY4wwM8SzePSfiDphwh7teWexREKKEr1RxyXvggzPdya/SuOZXaFH8Z6+P/9zKfdP+AeC0Xs25dkg7eraM4aNFW/l7ewLXHN+O9o2L/z0rKgEGMMfVh8sz76Kz2c6gjk05vnNT9xRp48hZPTLEvXokFurHuWsIhtWC0Mi8qdSF/bnZPUL6E+dwPnEO55HQyYwL/dmr37FTO0PrgXBlMQsCiIhUQUqCiUi1kZSexbFP/UKW0z2C9adbh9Altm6Ao5IqI3F7uQ7LJIxNbS6iSzF9lm9LKPYcX7mG8FX6EJZGXEdDk+yxb0PkZYzJeJJVNs6jfdbqPTz+/SoePLVbueKWIDMhxnf7PVugVj1mrtzNg1//67Hr0ncXsScpo0LCWbUzkcS0zFL1HZv1ICOdS3g7/HnvnW8Pz39+5wao09hPEYr42YH1pUqAXRv+FCsdXZgc2olOxfRLSM3MS4ABfLdiJ9+t2MlH1xzD/V+52z9ZvI0XL+zNqUc1L/ONPWPcA6DnuPowhz7QpB3HH1fMIhrlND77CsZnX87fEVdT16R57ty6ECbEkHbSM9QaeJ3fry0iUhGUBBORamPGv7vzEmAAT09fw5QrBgQwIqmqEpsPZmfvW7EmhLumrcJJCBZIoRbWggsHFvfXw9SiY3ws3xRxrrnr9pGYmpW3fXqv5ny7YqfPvv0y3uQ4x0o+Dn/Co/3HiPv5wTmAl7PPZo1tBbg/7LyzYDNtG9cmxBjO699KoxtropT9MLG9d3udpnDnurzNOz5bkbfyYq6KSoABPPTNyjL1/9nVn7j0qayOuIJapojk2bPuOnlMSPS9X6SqaNDOvSqiIzSneHwEtOjPNd/uyVn5NI1nZ6zlrcuKHs17xqu/+Wwf+/Yij+1bPvmLiFAHo3o0y2t7dfYGPl28jSynq/DhADx5Vk/GHtOaN+Zu5Onpa3z28S/DURnvUpfD/B15rdfeWjPvhpl3u1+3TEjOz83hfh4eBUdfA/3GVUKcIiIlUxJMRKq85PQsDhzOJCPb883gnAIrmIkkp2cRnfP8l21w+6bcD+LFrHqVIzG16BEv497zLIQ89pjWRSbBAH53dadd+odsirzEo/2UkD85JeRPPs0eyj3Z+R8iHvjKPbrnldkbmH/3MBXPr0l2/wNvDPZuH/MsDLgmb3PijDVeCbCqydA1YwoRZDIz/G5amP2EGh8f4ifEkHb/QWqF+56OJRJw0c2g3+V5m2/N28isBdvzpgoCzFzlLjTvdFmvGxjWWrYcSC315a7/cBkA028ZQsM64Tw7cy3FlW12unwnx8rLWstrczayYP1+lm31Ne/fLYk6xKV/RD+zli8jvMsPeBXfz/XjXe66aRHRvveLiFQiR6ADEBEpzq7ENHpOmMnQZ+fw4R9bAh0Oa3YnMWvVHrKLuDsrgbNuz+FS9Vv64AiWPjiCr27IX70ry2nZuO8wG/cdZldierHHt6hXq8RruHAQl/4R2db7z+xpIb/7PGb7oTQ+X7KdlTs1SqZGsNZ3AuyuTR4JMIBXZ2+spKD8I4NwTsh8gQ4ZH9Iu/UOffWo92YDPKqCWmYi/bT2QypM/rvFIgOWaOGMN3cf/xMPfeE5VLu+6Y6NfnM+aXcklHr//cOmmKpfWH5sOMnHGWn7fdMDrhqMvS21n4tI/4sXsohcE8ODMgIzkkvuJiFQCjQQTkSrLWstxT/2at71mdzKNSOT3iP9jg21ObdLhhXvd7zatBQp9tS7fbeG13UXQjy7bymXr9iQz6oX5ANw6oiO3jiiuGohUNleBTw0RoQ76N68PwJItnne1G9aJACApPX9kzY6ENE58bq7P8x7brgFhIQ5CHIYxPZvRqkEU7RrXZtO+lBJj6pDxIeeHzOZkxxJODFkOQAhFf8C4+8u/Abh3dBeuP8HHFDkJHo/U82oa3+c3fn7pL966rD89WhRRI6yayU0IfxX+MH0cGzz2nf9DD1a33EZMrTCalyK5LOJXe1dDwtb87T2+pwDvTEzz2Q75Cer3f9/CbSM6Ub+2eymWq/63uNxhXT75z5I7lYLTZUlIzeTzpdvp3DSavm3qF7lC5a5ivsfiTMo+l0nZ51KXFMLJZsn9w8A63atqWie8e1L+KswiIlWEkmAiUmUVTl7MCb+NOId7qH1XkzOCIKEcJ05PgJ/HQ9/LIaT0L4Mvzlqf9/yFWeuVBKvCmkZH8MV/3CO9PvlzK/cWKE6cK6ZWGCEOg9NV/C33KVcMIDLMc9pW39b1S5UEA/jMOYxvnINYG3I5ABEmi8/CH+HZrPP50/ouYvz09DVKggWzqed5Nd131AI+/t092vXUlxcw765hfPPXDmKiKnZVxWuGtGXW6r1s3l+6/8/ldVbmozwX9jrnhMz3aO/6Zivi0j8CYEzPWB45vQeNoyMqNBapBjb8Ais+Aad/RzzlWfX1EZ+icXQE+5Lz6/Jd9PYfrNmdTLdmdVm1y9cyxKVT8E9SbvH7wsJDi5/M88xPa3htjvcI0smXH03bRrX5+M+tJKW7a112ia3rcb7BHRqxYMP+MsWcRG33k7rNPHc49FFTRKoevTKJSJX1yZ/uRFcHs51ZEXf79+SZh92rQJUhCfbDP7v8G4MEVIPa4Tx4Slc++dOz+PCmQsmAwgkwgJuHd+TXNXs5mFK6D2gWz3oxAxxr+SziMc7JGM9S27kc0Uu1tWEWrJ/p2fafhXw8Kd6j6Zw3Fnp8wK4INw5rz10nd+Hk7rGc+4b3NN2o8BA6NqnDiu3+maJ7R9Z/OGDrcm3oDx7t8ZFjiUv/iB//2U1CahYfXXOsX64n1VRGMnx6KWRVbGK2WPXalNilcNH6Nbvd0/2OJAFWWlcMiityX0Jqps8EGMAVUxbTt3U9lm1N8GgfENcg73nj6AiuPb4db83bVOa4rLWqaykiVZ6SYCJSZVlrWRBxMy2N7zuSQzOe49nz+4JxAAab98bLgHG4Ew/G5Gy7ExH9vhxEqHXf/Rw6cTaZJrxSvhc5MtZadiSksXl/Cu0a16HFnrmwcxmE5P/7Ndu9yOexdSKL/lN3xaC2XDHIs3B+QmomRz8xiyynpV3j2j6Pa90wit/vG86Ls9Z7fdh4+aI+PPj1vySm5a8omUkYc5y9GBqywqPvlxGP0Df9DQ5St8gYJYgc3gsfnuPZ1vJoaNodiPdorugEGMDxHRsDeBX1/v4md62y1g2jqBsZxsKN+z1WtItrGMU5fVvy3M/rKKsnsy8mjQhuCZ3m0Z6bCFu48QDfrtjJ6b2al/ncEiQO763cBFirYyGywGtw3Rbukgk5Zq70Xew9ocCqwZXp3H4tiQov+u/aF0u3F3t84QQYwLq9/qnX9efmg4SG5L+e9HS6KOu7rEMpmURFhBARqoUzRKRiKAkmIlXL4X2wYBIc3MTz66aDjxuKwzOeZZN1f0A699Oyjc5aGwGhOefclZRORjH1maRqSM9yctKkeWw96F5pKz5yrM9+LYs4fmS3prSoV4sdCWncNLxDiderFxXOaxf3Y9aqPVx8bOsi+0WEhnD3qC5eSbDTejVnTM9mDHz6F/Yk5Scyrsy6iwHONXwS/rhH/2WR19M2/UNsobVqVu5MpHvz4KgLJYAzC57t6N1+9awKuVz7xrXJyHax/ZDvWj+xdSPp28ZdN69ni5i835HTejX3qkc2sH0j1j4+ii+X7uD3TQd46JSuTP93d7ljm5R9Li5ruC3sS4/23ETYzR8vZ/w3/zLx3F6M6Na03NeRIFC7MYx+pmLObQx0PQMcxU8tfO+3zaU6XXREKA+e2pXoyDBumLrMHxF6uWdUFy48ulWxfcqTnEvPcnps70goX42wC976w2P7j4hMYosZGLZqZxJLthykVYMojmvXkF9W7+XWT5dTNzKMH28ZQtO6keWKQ0SkOEqCiUjVsvAl+ONVn7u2uhpzfOaLlRxQ0Was3M2JXZoQGqKFdivKwZRMHvrm37wE2IUhv5ZwhNv2yE70z3keERrCr3eewI5DabRrXKdUx4/s1pSRpfzwfVy7hvy+6QAA3Zu7RxOEOAzPnNuLce/lFzh24aD7wFOIW9DNK5G3OfKSvLpIuU55aQEbnxzjNUpHqiFr4bFG3u0TElm5M5F35pfuQ3ZpxT99Ss5lLb9vPEBKppO1u5Po0SKGIR0bszj+ID1axBCW89oVGuLg59uPZ9XOJPq0ru/znBGhIYw9pjVjj3Enhs/s04LnZq71WGCiLF50nkO4yeLG0G89Y89JhB1KzeLq95dwQf9W/Pfco8p1DQkC4XWgRylXIAyw2JhILjja/fvRqE64X1Zw7N2qHstzRm6Fhzq4/oR2JU43bN0wqszXSc/yvCGYWcQKkVcPbss7C8r3enXgcCYNCwy4O5SSyVmv/Za3GmXbRrU5lJpJltNyICWTY578hYX3DteiGSLid0qCSbWX5XSxNzmDFvojGRS2blqNr7E3XzqHcEfWf7za2zWqTWxM6e8Umh35z3+9cyiElu7YQymZnPryAo+26z5YSvvGtfnljqGlvr6U3uGMbE6YOJvknA/ZUaTzdNg7Hn2cjnBCBv4fAGv3JDNr9R42uZpj6p/JmQX6RYSGlDoBVlb3jO7C+W/+jrWWB0/pltd+fMdGjD2mNR8tcq8+dsmxrXno1G68u2AzcekfeSXCpoffy+jMpz3a7v7ib547v1eFxC2VyMdKkIxPAOD+r/5lxbaEcp968QMjqB0RwptzNzFj5W5uGJY/2tEYw8AO7uRbwaTuse0aep0nKjyU/gXqApUkplYYC+87kZs/Xs6va/Z67IuODM37vS3OxOwLiSKDK0JneLT/FXENvTPeBuDTJdt46uyeOJQMliquYI2wV8f29RoVVRan9GxGozrhXDW4HbPX7uW7FTu5anDbUtXbqltMCYDS6NasLhnZTn5e5TkN9JJjW3P90PYM69KEce/9SXaBCv5HtYwh1NfvaIFTOAtV+J+/YX9eAgzwuTjHf6Yu45sbB5XzOxER8U1JMKnW0rOcnPjcXHYkpHHPqC78Z6hWU6vu9h/OzEuCvZF9KstdHfjF1ZfsIl6ufr1zaNku8JgDckb9t4ipBWGlS4JFFLES08Z9KWzcd5j2FZRgqclmrtzt8UF6VeSVXn1uav8Tr43oB8DKZduZ+I+75tZZjsqr9da7VT3+uO9EnC7rsaqdMYYnz+rJk2f19Hlc5/QprI28PG+7q2Mr5zjm8aXr+Ly2L5dtVxKsulvvY7rjg3tz6hVyRAkwIO//3G0jO3HbyMpdsbZORCgvX9SH7uPzk1jPn9+L3q3qMfy5uaU6xyPZ42hj9jA85K+8tnomhTfDnue6LHddJpe1OHzNjRepQuIPpOY9P6ZdQ1Y8fBK9HvVcBCM8xEGbhlGs33u4yPO8dFEfj5p44wbGMW5gnN/jBXjm3KNYvye/Hli7xnU4q08LMrJd/Lx6L7sS0njhgt55yXSARh0iWHjfcBzGUC9nleWiknN7J+S3N/jyPAjN/9t8QnoWc8ITiXPsoUP6+z7f5x3p66OIiC9Kgkm19t2KnXl1C/770xr8faO4c2w0x3dsrDvQlSr/TuHfrnbMcA0osudFA4qu11SZXvl1A5Mu6B3oMIJOwTvEvuqAxaV/BP+Uvy6RPzWoXfakWwbhnJrxON9HPJjX9lz4G/yUfjQp5I9svf3Tv8p87rq1wrjsuDYVNvpNSsmZDVMLFcK/+S8IdSeubKGREdVR7YhQHjq1G+/M38T5/Vtxdt+WOF1l+76uzLqbxY7raWzyV9U7OWQJt7i+5EXnOcUcKVJ1xUSFsWL8SUxdtIVnflpLeIiDZ8/vlZfgeuz7VbybM7VwQFwDzu7bgsiwEMb0iK20GE/uHsv5/b1rjEWGhfDNjYNwuazP98BNokt3AzGb/OL2oQfXe+yLAWJy7i9uiLyMgekvsRMf08ZFxL+S94ArG2JaBDqSgFESTKq1PUnpHttPTV/j92sUviMnfpC8G5ZOgZR9XrtaZaz37l+E/5xQeSP/ikuDfrV8h9f/kbAQB0e3ra/VjfxgtMN71cd26R8GIBL/+9e2453s0VwdOj2vbWXkVR71waYt3+Hr0JLPvSORL/4z8IhjlCPwmPe0Qxrkr0aaXcZkUVV11eC2XDU4//sKcRheu7ivV3HwSRf0Yl9yBk/+6P23+uiMN7yS3beFfclBooHReW3J6VlER4b59xsQqSAxtcK4YWgHrhnSjpSMbOpF5d8wue74dizZcoiktCwePq2b14IUZTV10Va+/3sXaYWK3B+JI70J/INjGNe4PitV34WRN3N55l3McfXxaN+RkKaSJyL+kLIfJuZ8dqrVAO7xbz3S6kRJMKkWDmdks3mfd62Ar8r54bAslm05pCSYv02/G1Z943NX4zKcpjzFX8urpJE+V0xZ7NXWvnFtfr7tBI0kLKe/tycAltfDPRdDuDTzXlw5KynmFqKvTjo2qeMxFebx7Es9kmAAr4a9wI1Ztx7RdTb5qK8ilWiCjw+0ExIB2JuUzoTvVhK/P9W7Txl0bVZ1//+P6dmMeXcN4/iJswE4oVNjzurTEmstG/Ye5rMl272O8VUr77GwKTiX98X2u4wrpyxm9tp9dImN5oFTujK4Q6NS1UgSqQw3Div6xlxYiMMjAQbQpG7kEde7Ci+wMM/hjGwOZ3jX4jMG3rq0P9e8v8SjvUW9WtSJqNiPgu+EXsB7SUOIMSl8eNUAGtXJLxlw+ou/8m3EQx79p4RP5MXss5iUfV5e26Cnf6V3q3p8rdpgIuVXMAEGkHYwcLFUAUqCSZW3elcS576+kJTMku9sXXt8O79c85/tiXmrvUkF2Lu6xC7Z1kH9ToOJ2WJITCv7ct/+Zowh1GHKNHJj474UNh9IUb2wcvhneyIf/7mN+MiLvfbNd+WvFLd2dzIXv+MuPrw3KaPS4jsSz57XizNe/c2jLS59qsf3ekrInzydvYdttil3j+pM01JOPTmckc34b1f6NV4ph2d91OZ6IL9C9FvzNvHjEUzlfeGC3izdcihvpcaqqnXDKKbfMoQ/Nx/k1KOaAe7X0mfO7cV9o7vS57GfvY7xlQgL+f5m4uv0ZPZa9+jhNbuTufTdP3nv8v4M71K6VVxFKtKUK47mhE5luY3nH6N6xPLWvE3sLjQzoqB+retzYpcmvHih+3UDoFZYCGf3bVkpqw/voiG7bEPO+CLR43pbbXufv++3hH7FUMcKzsh8PK/tr20JJKa63wt+uGgLTaIjOKdvS91kFCmN31+FGfcHOooqRUkwqfJmrNxdqgRYvagw7h/T1S/XfG/BZiXBKlBqppPcMVzvmHPYT728fRnZLrJc8JurB3f2PYpHL4tl9IvzWLfHs4jsRQO8a1iU2bZFebV5SuO4sPXszoxkvW3pte+ETo1z61yzaNPBvOkIwVDzJxCu+2AJV4RM92ovOE0Q3NPJftvg/btalQeH9GpVj3P6tuTLZQVHwhjOy3iYzyMezWuZH3EbcekfcVK3WDo0KV0i9cDhDCXBAm33v3DYc1U1blgEYZGs3e1ewfSdBeWfgjDnzqHENarNmX2qRy2Prs3q+hyx5ijml9TXB+O4T4bRxjzPFptfL+mZn9YqCSZ+tf1QKnPW7sNVxr/dx7ZrGJBRic3r1WLBPcPYleiZBFscf5DbP1tBRKiD+8Z0weEwnNG7BWf0rtzXjbACI9Vya/gW5uv3vZdjE/GRYz3+5u9NTuezJdt4e7779bNJ3ciAJB5FqgKXyzJj5W52J6XTLKbAdGFr6dWiNs3qhIAzE/4b5/sEOStU11RKgkmVV7DAbpPoCJrUzU9a/Lsjv4jukI76Q1hdHEzJzEuCfZx+LBut7zdlkWEOQhyGh0/tziXvetaFevjU7kceyPunl6n7BwbI+e8Xlz6VgpXCJl9+dN4dyROfm8NGH9N3pXRSM7PZmZjG+MgPPNr7p79equONcRf7rcr+M7S9RxLMYWCx7cJGVzPaO3bltX8ZPh5z+BOoVbokmEnJpDGHSCMCqLwVMiWHtfBGoSk7wx6AJl1YtTOJMS/NL/WpHMY9DTsiNCTvw+OHVx1DXKPa/oy4yvL1wXhuxO0eq8it2Z3s61CRcklKz+KkSfNILcWN18JCAzgiKTTEQasGnuUhWjWIYniXJgBe0zAr08XHtOHZmWtLXCzD1+874JEIGzlpnse+d+ZvUhJMaqyvlu/gjs9XeLS1Mnt4O+x5mjm2FX/w+ISqfbe4EigJJtXKJce24eYTO+Ztx937AwAOXFhnNrj8UwzUWCcOXLgwbD+Uyq9r9pR8UCkkp2fz86o9HN+xMef0q5xh6FWRsxR3WHu0qMugnCW5B3f0XC3opG5NqRVezoLzdZvDoSMvBBkfebHHHcoa/rfEr5ZtSfA5DXI/njWWJp57lOfdrxxtGkZ5fSCoajo0qcP0W4awdMsh9ial0y+uAePe+5MTM5/z+CDQz7Ee3u9X6vM2ABZHQqYN4TXXWGCk/4OXoj1Sz7vthLsBeHPexlKf5rx+LXny7J6EhThIy3Qybfl2GtWJYFAHH4X2q6k6kaE0i4lkV2I6jaMj2JfsPZ3Z1wfjDZGXebz2FrV6nUhZrdqZVK4EGLgTUVVNIJNfuf4ztD0XHN2K5HTvshYnTZrnsQp0aRJhBc1fv5835m7k+kpcJEmkqiicAAM427GALiUlwHJqk9Z0SoJJtRBOFs3MAWLSasGB/Dca49ol88jO69wbG4BHfR9fVlcAV0TCOlcLrl1zO1eu3uufE+f4/m/3SI/zj/bDlL5q7oULetOsQy+PNoN7BETBqQU3De/Ay79uoG5kKM+e34tyO+1FWPgyZCSV3LewbZ6j0QY7/mGBq6c7ZmXBjtj6Pcks3XKIVin/eu3z9QZ4eJcmNKxT+umsVU3haWLHtWvI75sOcHrGY17Fgssq3Di50P54pCFKWRz0kVwv8GYzIbX0tQ0nnpf/GlcrPISLj2lzRKFVRSEOw+QrjubHf3YzpmcsTaMjWbrlEDd/stwjEeHrg/G4kBn8z3kyAJlOF5EOrcIr/tUkOsJjRHFyehajezajd6t6NK3r/r960dt/0Kp+Lb67aXAAI636GtQO97m40MsX9eHaD5Z6tMWlf8T7YU9xfMg/Hu1FJcKenr6G645vp/dgUuPE1AojMS2LKNJpafYRYbLoHrkfcv58Ok0oIRG1IbwOpB2C6xdAQyWMcykJJlVeg9R4FkbcRCOTBEtwP3I8UsHX7uTYwbkh83g2+wK/n/vuL/9WEgyoGxnqsVpQUW4f2YlRPWJp07D2ka1m1O4E96Mcli75nX7fj8rb/jD8KZ9vyqTsElOzOO2VBaRnubw+8A7OeCEwQVWyh07txpiX5vO3bc8n2UO5MHQOe209mkSXPtHncjpxpO0HIILALyhRo7zU23P7+t98diuJvxZ4qQ66xNalS2x+InhEt6Yse2gkXR76yaNft/T3WBV5Zd72I2H/43/OkwDD/PX7mbN2LzcN70hsTOkWkBApSVyj2jx2Zo8i9/drU591j4+uxIiCT69W9Xy2X5Z1H3fYz7gp9GuP9vjIsXRLf49UPH/P9yRl6Hdfqr4/34YVn7jrdGHd5ROszX/u86vLRxuAZYXdBoX/2xcYyLq43Y0ce6nn6JCdCWm8t2Az7ZvU4cKjW9Xo5LGSYFLldTrwizsBVhrGT8PRbf7w7M71DcMa+KfmQO7KVlJ2xhi6N48puWMF6tf/OPjesy0+ciwdsz4OTEBBZN76faRnuZgW/rDXvu22iVdb20a1qV8Fpnr4U7fmdVl473AGPv0r92Zfy73Z1wIQ/8gppT5Hwt4dNHitW0WFKEXJzvRuiy36A3RxOjeNPsJgqrfwEEfeNMlcqUSSZsOpZfJ/zrlT0q95331nbOqirWx4YnSVnJYmImXzXPb5rHe14KXwVz3aV0VeSdv0D7Hk/56XdREDkUqXtBN+vIucDFalSInwfO/sdFlGPj83b7G59o3rMKBtg0qLp6pREkyqPIfNH82QHlqXyGgfNVGcWXDbv/4rzPTH6/DTvQCM7BbLyNED/HLa3BpmUn3NuWg9Qz/u6NH27JjqsUpbVbZ5fwpg6evY4NHuXoDA06NndGdU99igrAPUvJ53jTOpBh4vdKPkgd0emz/8vYu560q+CRLqMAwpVAOxpnE4DG9e2o/TX/EcSdc1Y4rXKNFuJp5VNi5ve0dCGm0a1oyFA2qK1EwnC1buLrljOTSsE07f1vVr9GiIQIqpFVbkvjE9Y1m6bQRnJjbl6wjPm2ObIy/xGIV/4nNzcRjo2DSaFy/srdcAqXoO76UyEmA7a3dlb3ImS12dsI2Ge+z7avmOvAQYwPlv/k7806W/yRpslASTamV5i7Ecd8V/Ax2G1GBDOzeBK6bD5PxpEGf8fDzsvzRv+470XRwIhW+dA4HjAxBl9fPK7A1exfAnZ59M7gqcjepEMKxzYy45tk2RUyiCxbXHt+OteZsAd5F/qeKy0rzbwmox/Z9d/GfqsjKdaurVx9Ckrqb1HNWyHq9d3JcbCv38hmU8x+yIO/K2f4y43+PD8DmvL+Sb/xtMCyWTqzWXJW+cz97kDK+6Uf50Zu/mvHBhnwo7vxQtMiyEB0/pyuM/rPba99rF7gVh9iQNpO2T7dgceYnH/oI1wtKy3B/s/9qWwCeLt3HPqC4VHLlI+aXWbcfaQS8ABozBYnKeAxiscRTaR84gj5xtY5i2bAdz1x/AYthPDFk5KZ1rB+S/f7wvJILp/+zivz+t4dh2DflkcQkF82sYJcGkSkhIzeSX1XsZ2KGhz9XegtWGvYdL1S8sxNC6QVS1vVuZlun0+F6jq/vQ9TYDvduWf5D3dAxAKJwVsoA9mWOBmj29qTRCs1O9/iI9kj0OgHcu68+Ibk0DEFVg3HJiRxbHH2THoTSeOqtnoMORkjwR67l96z9kZrvKnADb/NSYavsaXxFO6taU8ad145HvVuW1bbbNvPr9FXENvTPeBmD/4Uxenb2BJ/V7U63tSkyjssZXf/3XTq47ob3HIiVSea4e0o6rh7Rj64FURjw/l0yni0dO7563v2ndSCwOr7qAAHPDb+WEzBc82pLS8meP7E1KZ+XOJAZ3bESYpklLAGW7bN5b3E0JLs76qnSf/4pmgJJHjd877R8S07KIP5B6hNcLPkqCSZVwzftLWBx/iGYxkcy/e1iNqekx4vm5pe57bLsGfHzNsdXuQ9L2Q6mc8tICEgu8MZkVXuA2b3X18EF4tPi59HVMOgcO7wK8P7gJPD9zLd+s2MnYAa293tyOyngagF4tY2pUAgygdkQoX90wCJfLBuWUz6ByYKN3W73WHP/kL2U+VXV7ba9ooSEOrhjUliVbDvFDzorK4L1aZD2TQhjZeXfCP1q0FWvhogGtOKplvcoOW/yg4H0yY2BEV//+DUjNzGbhxgN526NfnM+z5/Vi474j/WAq5dW6YRQL7xvO/sMZHotl5EolklMynuSHiPvz2to49jLE8TcnjL7AazTZoZRMBhR4Hd705Bj9PZWA2XIwhUCsy1jws5d4UhJMqoTF8YcA2JWYrpoeRfhj00E27U+hfeM6gQ6lTH5ZvbfYF+HiakJUaY4QuH8nrPwKXE6PXQe/f5gGNiEwcVUTe5LSeelXd/2vz376hesKLYC4xrYG4N7RXSs7tCpDb9irgZf7em7f655usDsp3UdnKY/RPWI9kmAAj2ZdysNh+aNv10de5jEt8uM/t/Lbhv3Mu3tYpcUpFSPEYXhnXH+/nnPz/hSGPTvHo+3Oz1f49RpSdo3qRBS7WvhKG8fn2cdzXui8vLYPwp8mY+6rnBfhZJ1tydyMx5j8Wx2PEaQAt3z6Fy9fpGmvEhgFE/sOA4M6+KhvXQZ7kjJKnE2U7arms24qmJJgEnBvzfNxJz1IDe7QiAUb9udtR4WHlLis8/aDaWQ63atVZjldxfYNqNSDkOn9glzv0N/ER17KLtsAYwwhDkMD18H8/dV5hb/w2tDnEq/m5B+eURKsBAUTo79E3OWxr0v65LznR8fVr7SYRMrkjze82yLLN6Xq8TPLt5JkTTCqe6xX23vO0R5JMIATHCuY6+qVt731YCpOlyVEyWQph+p2wzGY3TaiE5NmrQPgruzrPZJgABHZyUQYONqs45+1n/DIX+d5neO7FTu5cVh7n6PMRCpTeGgIU68+9ojOsScpnWMKjTj/7zk92bgvJW974cb9hQ+TApQEk4B78sc1HtvnvvE7bRrkF4M+ZX8Sx1V2UBXkoVO7cfIL+X+8B7ZvyDvjji72mJMnzWPtnuSKDu3IzJ0Ic54C6/TadUbO12YmJ/FVOI8XUo2TYHLEjnd4331Px30n+Lx+LWvM1Giphn66x3N7fEK5TxUdqbdjRSn8GtC9eV1W7kzyqhH0v/D/eowGA3js+1VMKFBfSMSX2uEhnNwjP9naPKYW4wbGBS4g8XDLiI5cdlwb3pi3kTfnbvKaEl1QeFZSkeeZ9PM63rzUv6MKRaqK3q3qeyTBfttwoJjeonddElCvzt7g1bYvOYN9yRl528eHZuf9T63uN3Sb1i16mHe1tvhtnwmwEnU+BRq09X88VdyGvYdp1aAWEaEhgQ4lYA6lZALwfrjnaq9x6VPznt9xUudKjUmk1J5q7bkd2zNn9abSu2l4B17+dQPNYyI52cdoJ8k3pGMj5q9339V+dWxfhj47h1S8R1FPD7+H0Zn5rylTFsYrCSYleu78XozqodqdVVn92uHcN7or9+WUSHC5EsjKTCXCZpL8+2Si5z1S4jlW76riN5RFjlC3Mizw8a6fp5lXN0qCSUBNnLG2TP01PL1qcmZlkJvOSQxrjC1Q9f5wppMwsmlqEpjUYxq3jcxJbDjCILpmFTwHeOrH1bw5bxNNoiOYd/cwIsNqZiLsgrf+4DTHQh973ImES45tXeJUYZGAcGZBRqJn2/ULynSK609ozx0ndebsvi1pUa8W4aEa8Vic587vxedLttOnVT3iGuXXDC08IqSrYxsGl8ffoP2HM4qtMyQ1T+EbkhnZVbjUhPjkcBgiImsDtYmOzv/gP6pHMx78y/cxjepo5oEEr/BQB6ce5U7mr9zpfo/y9vzNPvv2b1OfE/284Eh1oySYVEmfX58/AbLFsoXwt/t5sL2RXbM7OO5KpWVmk5uePD75CRLxnaw88XBdiGlZeYFVMdZa3py3CYC9yRl0eegn/rz/RJrUrVnJnuVb3QthvBz+ikd7wVFgj56uGklSRT1WaFnyc94t0+Gn92rO1UPcI2DbNtIiMKXRJDqSG4d18Lnv+axzuT3si7ztzZGXeEyL7P/4LGbdfgIdmugmmrhFhXt+/Nl6IDVAkYi/NaoTzoC2Dfhz80GvfaoTLsEsrmEUxhjO7NOCM/u0AIpOgj1/fu9KjKxqqna3Ho0x5xpjXjbGzDfGJBljrDHmw3Keq6Ux5j1jzE5jTIYxJt4Y84IxRpWYK5jLZZnym+9fTICj4xrkPZrXq1WJkVWu7YfSAh2CXzht6d5ZPHd+r5I7BbFlWxO82h74+l+P6b81wV1f/M1oxyIfe/Knk2llRKmS9qzybut5rsdmelbRU8Pjnz6Fly7qE3Q3dALpJefZXm0xeC7SMuL5uZUVjlRDbZSMDirPnHOUz/a/tiVwMKcUg0gw+f2+4ZhSlmQ4qVtTWjeMKrljkKuOI8EeBHoBh4HtQJfynMQY0x5YCDQBvgHWAAOAW4BRxphB1lpVlKsgc9fvY8J3Pj5MBLmYWmGBDqHC3XJiR0JqN/BocxgY2rlJ9V4J0g9eyFndqKCfV+3h51V7OOWoZrw6tm8AoqpcKRnZbNh7mFmRL3q0Fxy5cU7fmjtaUKq41wst03K3982c//toeSUFU3P1bV3P46bCwPSXWBh5c972ishrvYrkixT02sV9efibf+nePIbRPVSTL5jENarNOX1b8uWy7V77+j72M/FPnxKAqET8p3GdCFo3iGLrwVS6xEYTW8oZJcO7NOGhU7tVcHTVQ3VMgt2GO/m1ATgBmF3O87yGOwF2s7X25dxGY8zzOdd4Arj+yEKVonz4+5ZAhxAQpc3SV2fn9G1BTMOaPc+8KLmFnX354e9djD81PainRmY7XXQfP4PjHCuL7XfLiR0rKSKRMkhL8G6L8kz4J6ZmMWv1Hp+HP36mpvj6ywOndOX2z1YQWzeSp87uyfDnvEd6dTDb2WCVUBffxvRsxugesTXifVlN9MgZ3X0mwUSCgcNhmHbDQBas388JnRqX+nXsvcuPruDIqo9qlwSz1uYlvcr7h8sY0w44CYgHXi20ezxwLXCpMeYOa20K4neuUk6fqxKSdkB82YoeF+fy5jv4ZGcj0tF0GPEU7MV5f9/kHlz7cfgTHu2FR2xomLZUSc928twen+DVZVeS7ynu1wxpyyXHtqmAoGqmfm0aMPeuYQDsTU4HoFP6/1gXOS6vz6yIuzUaTIqlBFgQ2vALfHYZdVIOcFOdLrx8eHigIxKpEI3qROTV/pKyq3ZJMD/JfUWcaa31+NRprU02xvyGO0l2LPBLZQcXzD5dvJXfNx5g9tp9gQ6l9FZ/5374yQRgQiSMyXiSgYOG+e28IlVdaqaTtmZXsX00FVKqLGeh2n0+PkAXdX/n1hGdfO+QI1Y/KpzG0RHs87HOzLGOVfzhck/9eHPuRsb0bEarBkqyiwSXAq/FCVvcD+AOFpAVcpg3nKcHKC4RqapqahKsc85X7wI9butxJ8E6UUISzBiztIhd5apVFsxW7kzkni//CXQYpVO34jPrP0bcz6Fh1SgZKFIGuxPTeez7VWzYm1+geu2eZOIj7/DoF5c+lRcu6M2izQc5mJLBrSM0FVKqoNXfe26f/4HPbm/O3ejV9sPNg6kdUVPfblW8sBAH7185gNEvzicufSrxkRfn7fsk/PG80WBPTV/D+79vYd7dwwjRwhsiwaPdUDAhYL0XJbk37BPedJ6KrX5rwUmAffznVpZtOcR1J7SjQ5PoQIdTLl2b1WX1riQAusRWz++hotTUd2UxOV8Ti9if216v4kOpOfaWYgW8eiQTigsO781vzAzAjNTOo2HIHbD1D/+ed8tvHpv1/3oD2g4p9pAOzg0Yk8Fa1TaRauST+f/SbtXrnOTYmdcWEZblo6dhdM9YDemWqu3Tiz23u+WPLFgSf5Bpy3dw6lHN+PqvnRSmkUcVr2uzulx8TGumLtrqtW+YYzmzXX0A2JGQxoGUDJpEB2/tRZEap2F7uO1f2Jaz6vTnl3vs3hx5icfU6OdmrvU6RWRYCKcd1VzlGASANbuTuG+ae+DGrsR0Prz6mABHVD73j+nCuPf+xAL3j+ka6HCqlJqaBCtJ7i3CEgtXWWv7+TyBe4RY8C/15icRZLI28vL8hmcDFopbSBic+LD/z2stPFIvf/vnh0o85FWACPjL1R5sedeBkECZ/u9uzB7v0SHBrtO2zxgT9kXxfdL/R8v6tYgIDamkqETK4WChFSDDaufvSsnk3Dd+B+AjHwmYS49tQ93I4F8VuCp48JRuTF201Ws02OTwiR4fgAc88Qs3DG3P3aM0YF8kaNRtDt3Pcj/vfhZMiPHYfbZjHtNcxwPw8q8bfJ7i08XbmHPnUBwaKVojuVyWqYu28NA3nos3Ldiwn1mrfC94U1qHdyTR4YjOUD5DOjZm3t3u0jst6yvBW1BNTYLljvSKKWJ/3UL9pIJ5JMCKU6t+hcZR4YyBkAjv2jKl0NuxkU0JG6CZz7yrVFGfL93Oxuq0EISfNMrYVmKfTMK486TOJfYTCaiXentu378DgMxsF/0e/7nYQx/TipAB4P0BdqhjOXNyRoMBvDZnI9cMaUf92uGVGZiIVJa7NsHEdnmbz4e/wbT0Ifh6fci19WAqiWlZel2ogdKznJw0aR5bD6Z6tEeTSi0yuP/94v/Wl6SLYytnBui/lZJfvtXUJFjuONiiKtXmFqUpqmaYHKFQhyHb5U4MXBPyvXeH2o2921r0gx7nVHBkleDBPfDeyZCZCo6SaxRk7lpFOO5pZMaVXdHRiR9EhDogs3R9o8JDSM30rmMRTDa2Oof2R49m/vp9fL50O9tsE5Zb98vsqUc1C3B0IsXYMMu7Lacg/o//7CqyEL5UvsgwB92a1WXVriR62s/4x5yft29KodFg4F6tdkxPvf6IBKXaDb2a4iMv5szGPzK8SxOP9ldnbwj61bmleNOW7SiUALMeI4r9KTxUIw2rgpqaBMudU3aSMcZRcIVIY0w0MAhIA/xcEEpyRYWHkJTuTug8EOb5xvR/w/5g3AlBPG/ZGLhqZqm773j0KNq6tlRgQOJvjetEwEH38/P7t+RArbZ5+96atynvecPa4USGhZCamVbZIVaqA/WOov1R53F0VyeXLv4pr338ad0IDVGxWqnCPix04+WhA3lPX/p1fSUHI8UxxjD16mOYs24vgzs0huc89/c3a1hi86dA3jB1GfFPn1LJUYpIpZmQ6DUt8u3+O2jc1jNBNmfBTvY6HWy3nskxqTl2JXq+D6+oBBhA4ya6+VIVBHUSzBgTBrQHsqy1eUV5rLUbjTEzca8AeSPwcoHDHgFqA29aawNQkb1m6NWqHvPX7yc+cqzXvsuOV50Oqd4Krjx23fHtoXH+lL8pC+PJzLnjePExrfly2Q6PY7ccSCE6MowGQTgcPzIshH5t6rN0yyEABrRtEOCIRIqxeZ53W0j+26aGtcPZtE9vE6qS+rXDOatPziIy4xM8anB+EfGo12gwEQlyNyyC1/KLmjeefo1Xl2kAEfCt8zhgZKWFJlWTr8+mtk5sMRNpyyC6KbVOvM8fZ5IjVO2SYMaYM4EzczZjc74eZ4yZkvN8v7X2zpznLYDVwBYgrtCpbgAWAi8ZY07M6XcMMAz3NMgH/B+95HIYw4bbOsDrhXZMSPTPi4xIFfXEmT24d9o/1I8K4/JBbT2SYN/8tYNnZ64jPNTBjzcPoUOTOgGMtGI8dkYPXpuzgf5t6tO9eVFlGUWqgP+d5rk9wbNMaEwtFbyv0oz3u4k2ZjdbbKyPziISlJqU/sb66SG/cygjCWo3qsCApCrzlQA7Kv0t/p5wQQCikYpU7ZJgQG9gXKG2djkPcCe87qQEOaPB+gOPAqOAMcAu4CXgEWvtQX8FXJOt25PMmBfnAzCs0Bz80NcHeGzb6xcoASZB77z+rRjauQl1a4V6rYr47Ex3GcLMbBcv/7qeFy/s4+sU1Vq35nV5ZawWzpUq7vC+YnenZzmZtXpvJQUj5VZoNNjciNs9RoMdOJxBcno2cY1qex8rIsFhfAI8EQvRse7FqQpx7l9HCO4Cj6q9WzPtTkznntCPvdrPzphAEsF3Q1qqYRLMWjsBmFDKvvEUswyItXYbcIU/4hJvhzOyOWlS/nSSWat28XzYG4x0LCV6q3cNJBPbszLDEwmYxtHeb8IK23IgtcQ+IlJBni20mPnDh/KeJqVncdSE0td1lADyMRqsFumkEQlAv8fdCx+8eGFvzujdolJDE5FKYox7UaoiJE9oQT0OV2JAEigrdyYy/puV7EjI/xy6KzGdFuxjYuR3Hn2nZp/IMlvUGnpS3akisVSYxfGeg+n6mA2cHbKAaOOjCPj4hMoJSqSa+GtbQqBDEKmZnFnebQVW8v140dZSnaZuZLW7zxicHvD88Ls68kqvLrd88lclBSMiIoHyxtxNLNlyiF2J6XkPsPwWeYtX3weyr6r8AKXS6B2a+FVKRjYfLdrKpv2Hmb3GczpJXVPEyJaz3vR5t1ZERKTSPVaoHszdmz0240s5SvOxM3v4KyI5EmGRPhotxUwUEBGRIBSVuJ7JYa/QwuzPa+vk2OHVr+C0+bP6aJRwMFISTPxqysJ4Js5YW2K/fyP70uO27yC8thJgEtwWvgxRBZbjtk5oP9z9KMG6Pcl0ahpdgcGJiAdrvduiPFcxTc9ylupUml5Xhdz6D7yQX3JhVcSVdMuYHMCARESksp2W9AmDQ1YU2ycufWre86Pj6nPLiR0rOiwJACXBxK827C3dnHprQiBChQalBlj+gXfbwpfdIyB7XUjHpnU8ahMU9NzMtbx5af8KDlBE8jze1HP7+gUem9Zavlrufde4sHP7tfRnVHKk6rX22IwyGV5drLUY3ZQTEQlaMc5Dxe7vnf4muaOEF947nOb1alVCVBIIqgkmAdEsxtf0BJEg0aIUiauvrgPg8TN78J+h7YkKD/HqMmNl0YVcRaQCOAslRwot2LLvsHfyJNeJXZrw5/0nMuv2E5h47lEVEZ0ciTNf99gc6VjisX3Tx8srMxoREQmgdQMehxv+4I9RP3BCxvPEpU8lgfzZF0qABTeNBJMK0ywmMqfgoLdGdUpeHU+k2hozEeIGweG9nu2/POK5nZ1Jy/pR3DOqCy5reXPuJq9TpWZmExWul2qRCvdSH8/tiz7x6rJwwwGfh/718EjqRYUD0KSu3yMTf+g9Fr7+T97m2+HPe9R9+f7vXZzTby/DOjcJRHQiIlKJMmq3gCZdGdDIsuXrRI99D57SNUBRSWXRSDCpMAPbu4sL1yWFy0JmcLzj7wBHJFJJIupAn0tgyO2ej4cLDcN+On+KzgX9W/k81eWTF1dkpCIC7lpgBwsloTuP9up2MCXTq23hvcPzEmBSvThweWxfoddbEZEaxeHwngZfJ0I3n4OdkmBSYQa2b8hoxyL+jryGR8P+x5WhPwU6JJHAchR6yc3OrwXWrnEdwkO8X5L/3HywoqMSkUfqeW6f8ZrPbo//sMqrTVMmqpGH9ntsboq8JECBiIhIVdG9uYZw1zRKgolf1c/cxVthzzEr/E5O/nU0r4e/6Ltjo86VG5hIVXHmG57bq7+H5N0APKM6QiJVQ5+LfTa7Ci0e2a5x7UoIRvwmJCzQEYhINfPm3I0c++Qv3Dh1Gc7CfwQkKHz5n4GBDkEqmZJg4ldDDk3jpJCldHDspE7KVu8OvS+BoffD8XdWfnAiVUHvizy3P70YnusMn43jlKOaBSYmkZrs7RM9t6+c4dVl/+EM7vzce1n1k7vHVlRUUlHOm+KxeY5jXmDiEJEqLyUjm6emr2F3Ujo//LOLyyf/GeiQpAJEhnkvTiXBTRNexa+is4tZenZCYtH7JOA27TvMtGU7SM10FtmnYZ1wzuvfkibRWt3T71Z9Tdjo/wY6CpGaZ4fnKoG0PjbvaWJaFp8t3sYTP66u5KCkwnQ/Cz6/PG/zufA3+DL9+LztM179jSsHxXFG7xYBCE5EqpKtB1M9tuev389/f1rDrSM6EhGqxIlIdaUkmFSYf7veSo/hY6FOE6hVP9DhSDGstVw9ZTFhB9cQRYbPPj0cm2lgtvDv8hiGd/FcPatWEcdIEe7fCS/1dU/NSdoJNifxmJ3BkI6NmL9+f/HHi4h/LJ/quT3KMxE96ed1TFkYX3nxSOVwhIIrO28zgkwycC9usGJbArd88hcD2jagWYzqvYnUZFMXbfFqe33ORppER3DFoLYBiEhE/EFJMDkiKRnZLNt6iGPaNiQ81HN2bVpkU2is2l/VQUa2i9uTnuLUiEUld04CCo0G17poZRReG+5c634+qSck5k8dvmdUF+avXxCgwERqmG9u8Nw+9nqPTSXAgtSD++DR/JtzayMvJy79I48uE75dyZuX9q/syESkCvnwDx+lXYBHvlulJJhINaYkmJSby2U57eUFnJHwP4aEToPIevROPxzosKQ8sjMY4zjyOgfrXC1oElnvyOOpwXq0iPFqO2nSXI/tge0b8dCp3QjxsayziJRS4g7P7fqeH2hen7OxEoORSlV4pV4fZqzcUwmBiEh1lZiaRUyUFtsQqY6UBJNy23Yolfj9ydwSOc3dkJ7g8R/KGRIRkLikPCwOU2DFmxaed78zsl2s2pVEY5PAIlcX1pgOHvsznZZ0wpnh7M8co8SMv63bc9hre1iXJpzQqXGAIhIJApO6eW7fvNxj878/rSnxFF2baVn1auvKmfDeSXmbt4d+xvPZ53t0+WX1Hk7s2rSyIxORamDos7P5/b4TVVS9KnO5ICslbzOEouseS82iJJiUm7XwYtgrPvf944pjT5MhlRyR+EOGDSPiml882hKT0jnryV+KOCJfiMMQFqJFZ49Ul9ho1uxOLrbPvuSqUYdtwfr9XPKuexrtsodG0qC2JsdKNeByebeVIYHfpmEUPZrHMKaHVoestlof47F5c+jXXkmwq/63hPinT6nMqESkmjiUmsWctfsYpb8DVdPcZ2D2Ex5N3YroKjWPkmBSvHUzYM9KwLqzXljIGTAUk5rBaSF/eHR/oNN3fPf3LpKozfOhUZUerlSMJnUjuWhAKz5dvA2X9d0n1GG4cnBbakfoZeVI3TemK+Pec09PvevkzozIGYkwccYaZq3eG8jQvOQmwABOmDibfyacHMBoRErp6Vae23dt8tg8/43fiz187l3D/B2RBELsUbD777zN2qSRgorhi9RU479dSXbEzlL3z3L6uKEigWetVwKssOwwjeSuyfRpVYq38itY8bHPXYXXe1wTM5jUkLokUfwIFqmenjr7KMaf1h1nEVmwEIfRkHA/OaFTY2bdfjwuC52aRue1161VdWpPfLl0O58t2ZazZelqtlIv8zBsigSgbvaBwAUnUpLMQvUrazfMe7p+TzJ/xh8s8tBz+rasqKiksl03Dx6pl7e5MvIqrwL5d3+xgkdO70GtcP19Ewl2c9ftI4H0QIchR6rA63quVCKxFpwYZrqOpknDo4o8XDV3g5+SYFKC0r8IvBr7uP5DBTkluSpPhybRJXcKkITUTO6d9jdZTndCND7y4vyd77u/dAlAXCKlMm+i5/aFnkmPLQdSiz38nlFa9TholGIK7GdLttO9eQzjBsZVfDwiUunCHA4o54Cumz5ezuAOjaivUhBVR4r3TdjCNzcAPg71/ExzVp8WfLV8B5FhDk7qpimuwU45CynW7qZDcHWvAxgwhkNp2Ww/lE5oiIMdh9JISM+iFpm8mH02A7OchGoqnEjQO5CSmZcAq1eKkZ+ptfRmQqqQXx/33O7iWfOpiBnfAIzpGUuTupH+j0kC5/IfYcqYvM3zQubwuXOoR5dpy7YrCSYSpKIiQiDN/fy/5/QkK8JzrsvOhDSenbmOzGzfmbI3523i3tG69VdlTGznsTky4xmvLl2b1aV/nOe/8xNn9eCETo05qmWMVv2sAZSxkGI9u6M7XyyNKVXfmav2UE8vGiI1yl+R13ls/x12FA5jSMtykpXtYqGrO60aHRug6EQK2VKo1leHkQCs3JnIW/M20SymFm/M3Vjk4feN7lqR0UkgxA3y2JwY9pZXEkxEglfB8aAnd28GUQ28+lx7fHue/3kdL/2y3mvfG3M3KglWBcxes5cDv3/AuYXa19uWhDgMs24/AQCHgdYNojCFRgJHhYdyZp8WlRStBJqSYOJXCalZec81n1okeI0P/R8Xh8zyaj89+V6vtokOTaOVKmLyKI/N7Is+Y39iOqe8tKBUh1elunziRyER4Cy44q6l4EfjFdsTKz0kEalaLh8Y5zMJJoF3MCWT6z5YyrqwRz3a26d/ALhXdG7bqHYgQpMqSkkwKVbbRrUZEOd5RyQpPYs2DaMY1rkJ9077x+dxjeqEc0KnxpURoohUspDDu7gidIZX+/WZt3q1RUeEckJnvRZIgBzYCHtXuZ+v+sZr95BnZrMrsXRFkG8b0YkYJcGC033b4fH816kvwh/h3MwJgYtHRAJj118Q6WMGTJPuNKhd9FT4XYlpNIvRyrKBsn5PMh+HPOTV7kQ3YcU3JcGkWDcO68CNwzoUuX/Z1kN8tmR73van1x5LrfAQOsdGExGqFx6RMpnzNDTuDAOugfCqe8fKkZXi1bbZ1ZSfXAP45FrPqY89W8RQW7UCJRA2/gofnFXk7lePX8KumetKdar4p08puZNUX6GeRa37O0r3/0JEgkwxfzO4+heuP6G9zynzxz31q/5OBFg/h+covYLF8I9p6z3FVWo2R6ADkOrtikFtPbb7tqnPUS3rKQEmUh4rPoJZ4+HJ5oGOpNS2muZcFTeLM0NeYdIFvTi2XUOPhxJgEjDrvafr5ontyY5SjgCTGuKY/3hs1uVwgAIRkUoV3ax0/d45kauHtC1y95TfNuN0Fbe0ilSUY973LIY/NftEj+07TtKqzuJJSTA5Il1iozm9l/sDe7829QkL0X8pkTJpXb2Lxhvg3cuPZvlDIzmrT8tAhyOSJ9vlzHu+O7Idq2KGsLruYDZ2vhaum1/q89x1st481wijn/bY/DvyWo/trQdSsVYfcEWCzuhnoN0waN7H+1FIo4ztTL78aJ+nmfDdKqb/u6uio5XCfLwuP5B9Vd7zyDAHjepEVGZEUg3oFr0cEWMML13Uh0kX9FYhfJHyOP0l6HgSJGyBXx/Lb1/xKfS6IHBxlZFDv/9B4dc1e5j+z24uHNCKfm2q9/SBjXsPk5u+ejt5IO8mjHFv7IWTspby+8YDpTpPcSUBpOY4fuJshnVuzOQrBgQ6FBHxp7ZD3A9frIVH6uVvv9yXYRMSefHC3tzyyV9e3SfOWMupR1Wf0fxBoeC/D/B/mTd5bF8+sOjRe1JzKQkmfqEEmEg5hdWCo85zPy+YBPvq2mqVBJPqLzk9iyunLAHg86Xb2fzUGK8lxKuTQwVWKy5s5qo9lRiJVBsXfgyfXJS32clsY51tlbc9e+0+diemExtTdIFsEQkivv4GOrM57ajmPpNgWw6kVnxMNc3m+bDlN9/7rMur6XvXcR7b9aO0oI14UxJMREREOHA402N7/d7DdGoaHaBo/KtLbDS9TAwrtieW6bjLB8ZVTEBSNXUZ47E5M+Ie4tI/ItRhyM6p9ZPl9P7QJSJB7P6dnrVaH2uIY0LRf0ustdX6BlKVsvMv+N+ppe5+RsajFReLBBUVcBIRqSpu/cdze9eKwMQhAnz/d/DUNmnVIIp2jeuU+bjrT2hfAdFIdbLykZM9Rn6t35vMvuSMAEYkIpWqjKt1J6VlV1AgNY/dubxM/VdY7/IFjaNVD0y8aSSYiEhVUa+15/abx0MxdxtFKlQNLwK+5rFRRIZppeMa5z+/w+v502lqb51DwXvGV05ZQliIYcatx5crsSoi1dDVv8A7BVYcnHoe9aKuIaGYafdy5OIPpJBb0etfVxy/uPr67Jdko/if8ySv9vaNa3PKUaVc/VNqFCXBRESkVJwuS/yBFFRdQYLZhUe34v+Gd1ACrKZq2s1ze+o5UOsrj6Ysp+W1ORt59rxelRiYiARMy/6e2+tnMv6MSdz2qfeI/U37D9Ondf1KCiy47U3KyEuC/e1qy6Tsc0t97NIHR1A/KlwLN4lPSoKJiFQll0yDD8/O3047BLUC/2Zqy4EUTpg4B4B2Zie/anR50Hvp1w1cd0J7akfUnLcKb1zSl5O7x6qei5Ro7e7kQIcgIpVp0K3w2wt5m2dG/cMzMZHsSkz36HbWawuJf/qUyo2tBmgSHcnTw3p6tL3/+xZW7UryaKsVFsL/De9Awzp6oypFU00wEZGqpMOJntuTq8YbqRumLgt0CBIAH/+5NdAh+M3m/SnF7p91+/GM6tFMCTCB21d7bI7Inu/V5Z8dmqouUqOMfMRj03x8IR9efQwt6tXy6upy1exyAhWhbq1QLhzQ2uPRt009r37/TDiJG4d51wYTKUhJMBGRqmzvSlg+FZZP5eiE6ZwbMpeWZl+lh7FyZxJguTrkB+4L/bjSry+B8fT0NYEOwW+6xBa90uXgDo3o0CQ4VsIUP6jb3GNzQtbztKDyX3dFpGprXy+UeXcP82pfsuVQAKKpef5vWEevttAQpTekZDVnjoOISHVx/F0wb2L+9jc3AHARcFEYZFsHM1N/AlpWalj/DX2bC0LneDZq1ExQyw6iu9mrC02ZKOj03s2L3CcC8FvkLfzs7Ms1WXfmte0/nEGjmjrlxlo4sAGcmX4/dVjCRr+fU8QvHj4IjzbI336iKSE+FjBavvUQA9o28GoX/6oXpSq1Uj5KgomIVDVD7/dMghUSalw0PrAYOKbyYgLvBBhwoMmxtKrUKKSibD2YGugQKlRxy6RHhasIvhRy5wZ41nNKzciQZTTNOsge3B9u+z8+i69uGFjzimBbC483BWdGhZy+aYWcVcQPHL7/Vlx3QjvenLspb/v3TQc4nJENQEytMM7s06LmJswr0a0jvEeGifii8YIiIlWNwwHXzYNeYz0e+8MCN1rFgctje4dtyM5T3qf3NW8FKCLxtyynq+RO1diIrr4/WrdtVJvBHRpVcjRS5dVpDEPvg9qNcRZ4uxxmsj26PfTNv5UdWeAtnVxhCbDCDpoalmCUqu+K6Z7b85/jvtFdaVo3P8k1Z+0+Xv51Ay//uoHHf1jNHZ95ryIpR85RaDbClYPbFtFTxJNGgomIVEXNesFZr3s0bY4/n0aJOwMSzsSwNzy2H4r7hPeOHhCQWKR0rLV8vmRbqfsXXmEJoHYQjZA6s08L7p32j0fbqkdPplZYiIrhi29D74Wh95I5sTu1Urb77PLvjqKn2Qat72/z3G7Sza+nz8x2sWl/CgdsXaZGXsprfj27yBFqM9Bz+5dHYcgd3D6yE/d8+Y/PQ7SQRsUID3Vww9D2vLtgMxcNaE3dSE2PlNJREkxEpBraejCV3SvcCbHEtCw+X7qdY9o24OYTO1Inwv8v7eeELPDYdgZPqaigZYG7vvj7iM7RqkGUf4KpAiLDvBN6UeF6GyQlqxWmiRN5sguNABvxCAy+1a+X2Lk/hVHPzgGgTUjwvAZJEIk9CnYX+Puansg5fVsSUyuMdXsOA5Ca6eSNuapvV9HuHtWF20d2UkF8KRO9+xMRqYYWbjjAl+uWe7St2JZA4zoRXHN8uwq99gJnd7o1r1uh15DyifbzXdBgrpXVsHZ4oEMQqX4KjwIbeFNg4hAJpOvmwSP18refbk3ohERG9WjGqB7upgOHM5QEqyRKgElZKQkmIlJNlGaE13M/r/VrEuyX1XtI/u0tzizQdmXW3czsr3L4VVFYgTeCEaEOzulethVEV+1K8lhFMSI0hOT0LL8n1wJl8uVHc8WUxQBMu2FgCb1FSic9y+lzpGFQ+muq53YRhcJFgpqm0ItUa0qCiYhUE+2b1IG97ue9WsWQHtOM1TuT2LQ/Ja9Pepb/ipvvTU7nug+WsiH8WY/24d1bEdeott+uIxWjTkQoz53fq8zHzVm7l8snuxNFv286QK9HZnL1kHbcP6arv0P0P2shy73KpcNme+0e1qUJ8U+fUtlRSZDr8tBPrHlsVPAnwlIOeG6fOikwcYhUBVf/Au+cmL+9+B04+urAxSMipaaxgyIi1UR4gVE+lx0Xx6tj+3LryE4Vdr1VO5PIdnkW/0qz4dTXNLKgFlPLc9SXy8J7CzaTmV3FV488sNE9PeXJ5vBkcwbs+zLQEUkN8tqcGjDtaWKhUcb9rwxMHCJVQcv+nts/3BGYOESkzJQEExGRIvUwmzy2h2c8x+m9mgcoGqkMvVvV46IBrWlUJz/Zme2yuGwVXw3h5b5F7soMrVOJgUhN9O1fOwIdgohUtrotPLed3iOQRaTq0XRIERHxadqyHXwf8aBH2y4aclz7hgGKSMok43C57kybeq15aszlPHV2Tzo/OJ2Mqj4CrAiZjkiynZYlrk5sbnIixwc6IAlq8QdSAx1CxTroeUOECz8OTBwiVcmt/8Kj9fO3J7aHe7cELh4RKRUlwUSC3c7lcCi+2C6OzIxi90vN9O2KnbwU6dl2Zm+NAqs2nBnuGiXlMe85uG+rf+OpSNuXeG7fsY6n5xzgvd82A/BgaHQAgpJg9NHVx/D5xhBe/nVDoEOpXC/18dzuMiYwcYhUJY5Ck6rSEwIShoiUjV+TYMaYsdbaj0roEwpMtNbeVlw/EfGDxe/CD7eX2E0VnqqvilyfqC6HPbbHZd5DYrCPdqjuohpCo06wf92RnScj0T/xVJaCxYkBopsCB3x2FTkSrRtEcWmTWJ9JsLfnbfLr6rwiUg2c/gp8+3/527v/hdgegYtHRErk75FgHxpjhgM3WWvTCu80xrQDPgH6AUqCiVS0jb+W+ZB4YulcAaFIxRjSsVGFnNday7TwCR5tc129OEurQlZtxsCVM2DND5CdXrZjs1Lh54fzt7cu8tg96oV5ZLssj5/Zg6Gdm/ghWJFq6K1hNKgTi+F+bKHSuk/8uJqLjmlNnYggmmixdw0s/8Czbdz3uHIWTXE4KvJWjEg10PdSzyTYG4NgQjW7kSRSw/j7r/Q84ErgGGPMBdbaVbk7jDHnA28BdQGtqSxSGQoWsm45AOo289nN6bL8tHI3yTaKjzmZbyopPDly9aLCefCUrjz+w2q/nnfOun0Mc+z0av+/4R38eh2pAFEN3G/Ky6NgEuzjC4HX8jZzax7d+fkKljw48ggC9LPMFM/tS6YFJg4JXqEF5oWnHSQ07SCTwl7j1qz/8+r65tyN3HFSkNxK2rMKXj/Oq3lfowGc//xcNu9P4cmzetK+sX9vjuxOKmMCX0REpAz8nQQbBkwAHgAWG2NuBj4EXgauAg4Cp1lrf/DzdUVqhLCkeNhXD4yj6IcjBCKiIayW58GDboGup/o8b1aWkxv/+gmA8FAtGlvdHNsuv1B9t2Z1j/h8SelZXDl5EZsLfO57JfsMANo31ip7NUbaQRrWDmdnoucH0v2HMwMUUBG+vsFzu8OJvvuJlNeAa2HG/eDM/79/ZshCn0mwr5bvCJ4k2JbffDb/96c1bN7vTj7f/9U/lRmRSNV020qY1D1/e0IM9Ws1YklEJom2Nq/bi4EqdPNIpIbzaxLMWmuB8caYObiTX28BTwENgfnAWGut99ACESmVljOuhRllOCAypsJikaopNTObf3ck0r15XYwp3zSVyQviuT/Us7zjc9nn+SM8qerOeRe+vCpv8+FTu/DqnM38s6MKT+1Y9XWgI5BgN+AaOOoC+GQsxM8vsMNSuDLj9kNe1UCCx7AHYNAtfPHgrEq7ZLOYyJI7iQRaTEuvJkfafhoZaGSS+D/XR8BDlR+XiPhUIUULrLWzjTEv4U6ANQL2ARcrASZSdocc9WnrKudyy+kFPrgajfCqCeIPpHLqywsY0zOW1y7uV65zTJq1jvjIHz3aCte+kSDV/WyPJNiow98w6qYbiLu3ig7gLjjlG6D3JYGJQ4JfZF249Gt4LH/k7eUhM5jiHBW4mCpT/6vghLt97hoQ16BCLtmwTjg3DtMUfKkmzv8APvNdiiCm0EJDIhJYfk+CGWPqAG8CFwI7cdcJuxBYYowZZ62d6e9rigSzKRGXkpKRTWOTSNuGkUQ4AOsq8LA5X53gckLKXu+TRMRAm4GVHrtUjibREYQ4DE5XfkJg+r+7yXa6CA058uTVP664Iz6HVBOFl3ufcR8kbqezacVa2zowMRWn8OIfpz4fmDikZgjxfNs8Iex9n0mwhRv3M7B9xSxaEmi50yAL+ux677phIjVOt9Phof2QlgBAwv5d1JsyJLAxiYhPfk2CGWP6AJ8CHYCfgMustfuNMd/inhr5ozHmeeA+a63Tn9cWCVZrQztxadb9APx0wRC6xJai5tPufyFpR86GgdbHuu9iS1BqUjeSp87uydfLd7Bw4wEgJzdazvOd6FjqsX1hpnsIf72osCMJU6qLRp1h/9r87T9e5a2wJgzNfD5vRODKnYl0b14Fplt/eLbndmhEYOKQmiMiBjKKnx489u1FxD99SiUFVLlu/+yvQIcgUnWFhEGdxgC4UqtY/UwRyePv+S2/A3HAPdbaMdba/QDW2k+APsBfwJ2A70qbIuIfsT2g08k5j5OUAKsBzu/fio+uOZZQPyxX/274cx7bKbgXWXjsjB5HfG6pBi7zXh+2jWMv4WTnbZ/y0gL2aAU3qYn+s8Bjs73ZUUTH4LR2d3KgQxCpdqy1PPnj6rzHzJW7sYWn84tIpfH3dMhdwAXW2j8L77DWbjTGHAdMBG7y83VFRKQC/XbvcFrUq1VyR6n+6jaDW/+Fjb/AD3eAK9tnt/d/j+euk7tUcnAFZKZ6bvtI3on4XT3PacG/RNxFXPpHXt2cLkuIH25KVBVZLhfzVu8hNVMTOUTKygJvzduUt/1WztdgHTEqUtX5eyRYH18JsFzW2ixr7a3AGUdyEWNMS2PMe8aYncaYDGNMvDHmBWNM/TKcwxhjrjTG/GGMSTbGpBpjlhtjbjbGhBxJfCKBZK0lQUOwpawSd8CCSaR8fIVH80kZ/2XlIycrAVbT1GsF/S4HR9H3yg6lZlVePL7MuM9zu93QgIQh4svyrYcCHYJfTf9nN1f9b4lXe9O6moIs4ku9WuEl9lm5swqvvCwSxPyaBLPWJpSy3/flvYYxpj2wFLgC+BOYBGwCbgF+N8Y0LObwgv4HvAu0xV3H7G0gHHgR+NQYEzy376TGsNZy4Vt/0Oexn3nmpzWBDkeqk0/GwqwJ1F47zaN5nW1F7YgKWUhYqrn0QI8IWTolsNeXmuv0Vzw2o0K9pzV9+Ec5V3WuohLTfCe9p90wqJIjEakeHAVGgkaFh3DfaO+R0ws3HKjMkEQkR3Vc8/41oAlws7X2TGvtvdba4biTYZ2BJ0o6gTHmTOBSYDPQ3Vp7tbX2FqA38DVwDjCuQqIXqUArdyaxaPNBrIXX5mwMdDhSnez6y6tpratl5cch1ca05VWoFlKn0YGOQGqSvpd6bP7U4WuvLl//tbOSggksjRIWKVmtsBCuO6G9V/vrc/VeXSQQ/JoEM8ZsKuWjXL/xxph2wElAPPBqod3jgRTgUmNM7RJOlbuc1HO5xfvBPV0TeChnU3XLpNpRrQ4pKD3LSWa2q8zHPZd1Lv+XeROnZD7Jmb2bV0BkIkdo3zqPzazTXua9BZu5/bO/VLhbKl3r+M99ticGesrwkTi8F1Z/F+goRILawZRM/tx8MNBhiNQ4/h4J5gCMj0c93KtGxuGeclje6w7P+TrTWuvxyc5am4x71cko4NgSzhOb83WTj325bX2NMfXKGaeISMD1nDCTTg9OL3NtmpedZ/G96ziy/b52ioiffOFZu+7RX/bw6PermLZsBye/MI/Vu5ICFJjUGM37lthlwJOz2LD3cCUE42fb/oRnO8LmucV2m3RBr0oKSCQ4PHlWT6+289/8nb+2JeQ9th1M9XGkiPiTv2uCxVlr2/p4NAA6AT8BG4Gu5bxE55yv64rYvz7na6cSzpM7+qutj33tCjwvcdkrY8xSX4/SHCsi4m91Ir0TV5e9W+R6JSLV055/PTY/KFR/afSL89lyIKUyI5Ka5tKvPDZ7mQ1eXTKyXUz6uai3rFXM6u/h3ZPh9UHw7kiv3fG2qVfbWX00ZV6kLC4a0Mpn+5mv/pb3GPLMbF5XSRORClVpt/mttRuMMWcD/+KeunhfCYf4EpPztailNHLb65Vwnu+Bi4DbjTGfWGsPAhhjQoFHCvQr9WqTIiJVwR0jOzFp1noOpuSvEJqckV3u89WtFeaPsCRI7UpMo1lMgGsCjZjg/qteyC9r9lZ6KFKD1KrnsflNxMPEpX/k1e2Hf3Z51e+okr6/DVJ8/84kDbiNT+d192i7arCv+8giUpzSrrv2zV87+M9Q7xpiQcflhC+vgtQDuCePeeqyN7gWGJGqo1Lnulhr040xP+NOQJUnCVaS3N8e72V6PH0CXAKMBlYZY74FUoERQHvcI8o6AiUWWLLW9vMZiHs0WMlj5UXKYGdCGpGhIUXuj9fIhxrv0uPiuPS4OOLu/cEv59MHHSnOmt3JlZ8EW/uTx2bWMf8H388s9pA2DUsqFSpScfYmpdOkbmSgwyheEQkw7ttBUqqDw/NmezSP6hHru7+IlFmbhlFEhoawdo+7pmW2q6SPskFiYntIK7pkR0yB57ZarucnVVUgCr5kk1+Tq6xyR3rFFLG/bqF+PllrXcaY04FbcK8SeSmQBSzEvSrkK7iTYLqNLFXKlVOWBDoEqaYysp1EFJNA9eXsvi2UPJA8X90wkDGveb4GhZTyrrZffXqJx+YP/3r/qQ4PdTC0U2MA+sfVZ1jnxpUSmtQw5072qE93+4ntef4X72lM2w6lVf0kWEHXLwDjgMZdwBHCirW7vLr0b6PJEiLlcd3x7XhznmdZ6ntGdaFjkzqMnDQvQFEFSDEJsIKc1rCq7mCOqeBwpOao1CSYMaYRcBawrZynWJvztaiaXx1zvpZYgMFamw08l/MoGGMtoDeQBqwsV5QiftSgdnigQ5AgMOCJX3jt4r4cTMlk/vp9jBsYR/fmvu8nzLljKNsT0hnYvmElRylVWbdmdakdHkJKgVVoA3Kv2lVgxb2QcG799C+vLsseGkmdCC3sIBWsx9keSbCbs97leYZ6dcvIrmYrN8d6Fu9+6Zf1Xl1KO61LRDwdKFCuIleNGflV0JaFntvH/Ac6nezR9Muavbz322Y2uZoztG7vyotNgp5f3yEaYx4u5jqtgDNwj+Iq71TI3LHYJxljHAVXiDTGRAODcCev/ijn+cE9KiwS+J+1thqvbS3B4o6TOvH09DXsO5xRYt8tBzxXlNl/OIN/diSWuEx7ptNV7H6p/hLTsnhh1jqWbDmEtfDZku20bVSbbJeLB8Z0ZVSBvm0aRhHXuE7AYpWq6+fbT2Dg07/mbb8zfxMndKrEUVbOQvXtzn8fJnu/fikBJgHx51vgIwlmfNS6qQ6stfy8ak/eFC0ROXJXDmrLF0u3e7Q1rIk3vCeP9twe/bRXlz37t/KbS+9Hxf/8/S5xQgn7k4DHrbXPlOfk1tqNxpiZwEnAjcDLBXY/AtQG3rTWpgAYY8Jw1/jKstZ6jE83xtS11iYVajsaeBo4DDxanhhF/K1/XAO++M/AUvVNycim+/gZ+cc+PquiwpIq7s1L+3HdB0s92hbHew4737zfXUPuga/+9UiCiRSleT3P+l/z1+8vomcFWfyO53anUcCPlRuDSEFNe8Kef/I2HzuzBw99/W8xB1QfS7cc4tpCf0dE5Mh0a17Xq61j0zol3rAWEf/xdxJsWBHtLuAQsCZnGuKRuAF37a6XjDEnAquBY3KuvQ54oEDfFjn7twBxhc7zszEmDfdqlclAd2AMkAGcba3dhEg144/ZCe0aqQZUtbBpDmQWWAihTlPoPAZC3C/rJ3ePZf0To/ll9V6u/7D4DzEHUjLd419FymHD3sN0aFJJd2p/usdj8/NCd9MBLjm2deXEIgJw6TR4tmP+ZsdsVh/Tmo8Wbc1re3fBJo6rhtPLV+9K8tneJTa6kiMRCS7XDGnL2/M35203iAqvWUmwBS94bt+5ISBhSM3l1ySYtXauP89XxDU2GmP64x6pNQp34moX8BLwiLX2YClP9QVwIe5VImsBO4F3gKettfH+jlukMtQKC6F949ps3JefHImpFUZiWhan9WqOo4QkWXRkKJcc26aCoxS/+PtT96OwCfnrgoSFOPySGBUpztPTV/POuKMr/8KNOnPXF397NT94SrfKj0VqrjpNPLcnj6Fp7+89mmatDq51ll6/xOfC6CJSSg+c0o2hnZvw65q9nNarOaEhNWzlw1njPTb/TQyHRO917XYmpFVWRFLDVMuiGdbabcAVpegXD74LMVhrJwIT/RuZSGAZY/j42mP5cukOWjeI4pSjmgU6JPGnJl1L7pNxGCJUP0EqT6V9wM/0rHnIWW/Ay96r1kWGlW0VVBG/OrybwR0bMilIqxE0iY6grUaMixyxQR0aMahDo0CHUfms5yIAB20dTn15QYCCkZrqiJJgxphyzzmw1m4tuZeIlFWT6Ej+M7R9oMOQinD0NRAaCfsLLIBrLSx5N3/7qRYw+hnodiZENy32dPVJ4sWwV8mqnvdDpKZZ8LzH5oawTrgHgosE2PCH4NfH8jb7ta7v1cVaW+1XVBzWuTE3DusQ6DBEpDr77maPzWMzXi3VYY2jVbdD/OdIP/nEU74V0q0fri0iUrOER8Ex13m3F0yCAUy/G/6aCtfOJaSYD13LI6/3anPZ6rqOmVSWKwe15b3fNpfc0d/meQ7enjRrnVeXu07uXFnRiOQbfLtHEozF7xDiaIHTlf8W+a4v/ubZ83oFIDj/uOTY1jx+Zs9AhyEi1d2y9z02MwnLe96tmfeiAeBeOOCSY1TvU/znSBNR7/9/e/cdJ1V573H8+9vC7tKW3pWVDtIURUSxYjexJzGReI01EsWW6o29xCQaNdEbNZZoNDH2grGAXWyALYoIIiiC0tvCsu25f5yz5czMltmdmTMz+3m/Xud19innOT9y7+Ps/uY5z1HLkmAAgEQ58zXptinBupUfSNWVmjiom7q2z9f6iA1XB9vXMYd61SZo3wxfrYDkmjF1aDhJsPp2nKyZH0avAvvpvqyCRQhyIvbzeeYiPXzWUh1z65zaqofnLc/oJBgAtFrEo5DvVNd9cdW3uFDPzJgSeQWQFK1Kgjnn/idBcQAAWqrvWOm0F6WPH5XevEX1v5voXJivN351gN7/aoN+eMfbtfWzC34eGOI3hRfLteukKVO/k/GP7CBJ5t4tDZmq4p7DUn/v7ZuD5e/+WfrjwkDVfadOVE5Tb/8AkiUnX6qu+7JhlxiPRGaSrzdsC7xkBwBa7YHvBYrfL/9t7c8pe8s0IB5JBIDsMGCCd7z9V6m6MtDUvl2eJg+u23x1gi2MvFrX/OoXSQ8RGe65X3vHOfNTf+8XrwoUZ6/uFNVl537FqYoGiHb6bOm2ferK5dEJpI3bKlRclB9Vn27mf7lex9ZbxQaglaqrpA31tsPu3F/KaYMvcVn0fKDoVLeK9oKDQviCDW1Wq9/HamY/NrOxiQgGAJB8jxRcHij/ZvRLIUWCtBfrjaRPzUh9HG//NVA89e9zo7p069AuVdEA0fpGPOr43G+iutw0a1GKgmkdEmBAgpVtkG4cU3dc0U1atyTsqFKruipQfLpqUqCc6atnkVlanQSTdI+ko+tXmNnJZvZiAsYGACTI1JG9tbTwh1H1lpv+KxMQkuPu9Db9rm/pa+HEUmPwAeHeH2iOeffozpN3C1Td9cYX2l5Z1cAFALJKfpH3Ru+G3LxL6mJJB3//bqD4s4pzQgoESEwSLJYSSfsmaWwAQHN88C9p43Lv27dVn+pvXxwY1aWk7P4QAkPG6D5YmnqptN+vG+3mXBLfkVO2MVg+4obk3Qtojf4TAsX9h/eK6rJ2S3mqogEQpnYdpEOulroPlYp38I62bNnrERXs4YnwsCcYAGSrJ3/WaPNp5RdKMnXnMTI0ZdeTpZevrS0WarvKVFBb/mZTmfoWFyXn3rOvCJa77STpk+TcC2iN4++Sbqp7LDJn+8aoLlu2V0bVAchSu5/mHTXWfi79ede68prFUo8hqY8r1aqC/917uGqfQPnEiTumMhogaSvBAABh6DG86T6SqixPs6onqCg/V9P2LEluTMh8nfsGiofnvB0oV1YlcSXYu39L3thAInUtCZZf+G3MbpmoKL8NbuINJFr3wcHybfvE7pdtIt4KeVHFmbU/n7JXia49dkyqI0IbRxIMALLJ8XdJe/xUKm7gW7XuQ6X9L1bupWv17HlT9NavD1TPTgWx+wINmJ73RKB87r/eS82NBx+ojVsroqr/M2NKau4PxGP+vWFHkBD9igt13IQBYYcBZJ+K6LfIZqXPZ0dU1D0K+dsjRqU2FkCJexwyiV8BAwCardcI6bDfeYdz0qYVkquS2nf39qeoZ0SfziEFiYzUZcfaV7wPzlkZaHrvyw3JuWfEfmBVh/1R4654PqrbyL78/zLSxICJ0vJ3wo6iVfYa0l05Ztpjp26aNqlEHQvzlJvD/j1AQhx1i/TE9LpyVaWUm8U7FEXsGRr5Vsgc/tuCECRqJdhlZlZVc0i6RJLq10UcbIgAAMlmJhX395IXEQkwIG6Tzm60ed6ydYm/56t/CBTf2kCyC2numL8Git3bBVcuPjxvudZu2Z7KiOJ2/2mTdN+pe+hnBwxVcft8EmBAIu1yUrD8zEXhxJEqEf++cyrq9qs9b+rQVEcDSEpcEsziPHgMEwCATDL+R4FiN20KlK+euSDx95zz50Dx73OWRnXZZ1jPxN8XaKmIPX8u7/R4oHz7q0t0+M2vqaKqOoVBNeCDB6WHfyI9ekbYkQBt17y7w44guSL29XT10gDfGdcv1dEAkhKQjHLO5bTkSETwAAAgRQqDq7BOzH0xUDZL8mqRwQfq+U++jaq+fdqE5N4XaIUjSx+Lqvt203YtXRPyXkCLZ0mPnSH99xHpwwfDjQVoa3bcM+wIQvFx9cBAmRduICwkowAAQNzOyQv+cd+zY4JfsFAekSQ4/A8xuxXySzTSTc+RgWLX9vkhBdKIfxwXs/q1qtEpDgRog078V7B8eVft8NBheqrdb3R3/nUaXrUonLgSZcsq6aVrpCuDK7WPLb88UO7WoV0qowJqZfEufAAAIKF2nCx9OUeSVGjBvY6G9+mU2Hu9+sdguftgSZ8GqjoV8msM0tCxt0u31b2xdP7F+6va8nTIja9q8aotIQbWsPPLf6pSFeqV6nFaGHYwQLYr6hIsu2oVrvlIY/zlKcVlf5d0WqqjSpxZl0vv/yOqeruCSS++xEJYWAkGAACaZ/LPGmxK+NOQr98QKFZXR7+I+sKDhiX4pkAC9B0bKNo7t6fX5vLVVcHySY/oseoper5696g/UgEkydTLGmzq7tanLo5kWBOdSv9b5WEhBALExleoAACgeYYeEiiOtGVa4Lw9Plx0jipxBkzU219Ev33ye7vvkMSbAgny3G+kPaeHHUWdt/4vWB58oKRnQgkFaLP2Pl8af5K0abkkaeXST9X3+bNCDioJ9j5fR87urv+6QYHqHbu1DykggJVgAACguXKD352dljez9uebZidwD5OKsmD5iOv16PzlUd3at+O7PKSpguKwI2jY8xcHy8l+qQWA2Dr2lPrtIvXbReVds3Rl8/DDoxJgkvSrw0aEEAzgIQkGAABa5Ljc1wPl1Zu3J2bgiFeqb+k2Sg/Ni06CAWnrmL8Gy0ldKtkKeYVhRwCgDSrp3iHsENCGkQQDAADNt8u0Bpsqq6sTc4+IlSrrtpQnZlwgVYYdGiwveiFQ/GZTmSqrEjRf4hE5R3/4YOpjANBmuAa+ANipB0kwhIckGAAAaL7J5waK+apM7v36jNE7S6P3A5sytEdy7wu0Rk7Er9hPzQgUp935jg684RWVVURsUp9sc+8Mlgftl9r7A2hTzv3Xe1F1Xdvnq6gdb4ZEeEiCAQCA5usZ3LfksJy3Ezt+VURS7ZBrdNFDH0R1++Wh7CeCDLJ5RVTVsrVb9cxHK1MbxzMXpfZ+ANq0r9dvi6ob2bdzCJEAdUiCAQCAFjsr7+nan0u3V6qqOs69j6oqpDl/kf59sndc1SvYXjIl5mWj+6fxxuOAJO3/v012ef+rDcmPA0DGKquo0rebyprumEE6F+aHHQLaOF6rBAAA4tO+h7R1jSRpVM6y2uqpN7yqvsWF+utJEzRuhy7NG2vhM9Fvq6uPN9chU+05XXrpqtrihM6btHhV8PvnuUvXpy6eyP3Avv+P1N0bQLNVVlVr+gPztXrzdr3zhbcdwPUnjNNxEwaEHFliTN9/SNghoI1jJRgAAIjPvr9osGnlxjI9OPer5o+1bknDbQddEUdQQJpp1z5QvKTwQZ2858BA3ScrN6Uunk+fCpZHHJm6ewNoXL3ve6qdNPPDlbUJMEm6MMa2AJloz0HdNWYAK7kRLpJgAAAgPuN/FCj21IZAuay8hZt9Dz9cOv5u7/jpHGmvGTG7DenVsWXjAyHqsPgpXX7UaBXmh/Tr98OnBsussgTSxoCu7ZvulAX+ecaksEMASIIBAIA4FQSTUKflzUzMuD2GSqOP9Y7eO0uS1pWWR3W77rgxibkfkGxDD4mqeuD0kP4IrK4I574AmpRbLyndp7hQfz5xl6g+y9aWpjKkFqtysfcGHd/cbRKAJCMJBgAAWuXMRCXBYngo4tHK86cO04SB3ZJ2PyChDrk6WL73KJWsfDZQtWFrdKI36Q77Q+rvCaBZOhXk6Tvj+unnhwwP1L9d7/HIdLZiQ/QbISUph8WnSBMkwQAAQPwG7ZeS27y5ZG2gPGFg15TcF0iIHkOD5SUvq+vz56pYW2qrrn3m0+TH8fX8YHm3U5J/TwCt0rko+BbFtF8JVrldWjRLuWWxX/jxnXH9UhwQEBtJMAAAEL99fxUoXnfMqITfYvGqzXp54epAnVPsxyyAtDX4gEDRqsrV0zbUlh+c+5UqqiLe3JhoT54bLOfmx+4HIG1ELpz6+5xlMfulBeekq3pJ9x+nflUrYnY5ceKOKQ4KiI0kGAAAiN+OwX2Ndlz9csJvcfPsxVF1Jd07JPw+QFJNe0w66/VGuzzz0crkxvDtR8kdH0DCRb67Ysv2ynACaY73H4iqqnQ5Wu56SpIOGtVbhfm5qY4KiCkv7AAAAEAGivjtfPSCP0m6NqG3ePKD6G+Tc9hUBJmozxipx3BpzcKYzTP+9b6OGt8/NbFM4FFIAAn2xNmB4syqiZpZNUm3nHW4+ncpUr8uRSEFBkQjCQYAAFomv4NU4e1R0qk0sY9pbNzKm+yAhCgN7qunqZdKkj5esVEfLd+o0f2LQwgKQFOG9uoUVbe9skoFeem/omp6xXmSpFPNSIAh7ZAEAwAALXPoNdJTM5Iy9BF/fi0p4wJtzuzLg+Wirnpp4Sqdcve74cQDoFl2L4l+Ecyrn63RQaN6hxBNI7ZvCRR/2fUGKclPeAOtwZ5gAACgZcb9MFA8P+8h7WSJ+c13+frYr1gvLmJDb2S+yKd6j58wIHk3m//3qKqGEmC9OhUkLw4AcTEz/d+Pdg3UnX7v3JCiacQT0wPFz/JHhBQI0DwkwQAAQMvktQsUZ+Q9ppcKLtTYTS8n5XZ/PnEXdSxgETsy3/ETdgiUh/eOfuwpKfqMiVm9c7/OmrhTN117bOx2AOkjLTbI/3qe9NR50qNnSp88HnY0QFxIggEAgJbrt2tU1agtb7Z62GG9O0bVfWdcv1aPC6SD43YNboJ/9TML9NLCVYm/UXV1sHzkjZKko8bXzaXenQs089wp+veZe+rAkWn2mBWAKA+8ndg9OONWXSU9OE2ad7f04b+CbYP2DycmIA4kwQAAQMv9+HFpz59pQ+fhtVWm6ob7N9OKDWWtHgNIV907FKgwP/hr+Cl3vyvnXGJvtOCJYHnAbnLO6Yn36968etjovom9J4Ck+mTFpnADqNgqbfo6dtuJ/0xtLEALkAQDAAAtV1gsHXK1Fg06OWFDVlW79HjcA0iisoroZHGic2CaeVFU1X/++02gfM+cpQm+KYBE6dK+XVTd4++v0Not20OIJobcAunov0rH/k36xRdSPm+CRPojCQYAANLK4+9Ff8O8645dUh8IkOm2romqOvv++YHyMbv0j+oDID3ssVO3mPX3vRXyI5E1cvOl8SdKY0+Q2seOFUg3JMEAAEBaufTJjwPlzoV5+uMJ40KKBsgS+18cs/p/JpekNg4AzZYT+SpZ319f+TzFkQDZgyQYAABIK5GPQl7ynZ01qGf0RvlAJpt1wT7JvcHm4GOPmnR2zG6F+bnJjQNAwsV6nBpA85AEAwAAae3AEb3CDgFIuCG9OkXVbS5L4F54L/8uWC6InUju07kwcfcEkHCXHDkq7BCArEISDAAApLWuHaI3BgaywXfH9QuUT/37u4kbfN7dzepW3D4/cfcEkHA/2XsnHTk2/d/iuvCbzfrdfz7VV+u2hR0K0CiSYAAAIG316FgQdghA0lz23Z0D5bnL1ifnRn3HS1L6vFEOQFx+d9zYqLobZ30WQiSxVVZV68Q73tJfX/lca/jvDNIcSTAAAJA21pWWB8oHjeodUiRAEs28UFo2R92StcrRuWD5kKslSROumhWoPm7XAcm5P4CE6liQp5F9Owfqbpy1SBVV6bE32HXPfhr1+d2pIE8j+kQ/9g2EjSQYAABIuMue/Fg/vOMtzYtzZUvkSpX83NhvxgIy2rLXpbsPk8o2RjW98tnqBIz/RrC842RVVbuobgfvTJIZyBS/PXJkVF1lVfS8DsMdr30RKF9x1M56ZsYUdSjICykioGEkwQAAQEJ9uW6r7pmzVHM+X6vj/zonrmtfW7QmSVEBIdtpSnTdnL/ovd8eFKi6euYnrb/XrMuC5ZycmCtGDhpJEgxIO5XbpBXv+cf7UqW3wipd3+Q6b9m6qLof71miHbq1DyEaoGkkwQAAQEJNylmgu/Ov0zD7KuqprKZ0KEjPX/KBVjv0d9IP/hmse+NGdSwMrpT47Nstrb/X8ugN9r9/25uB8hFj+ionh5WWQNrZ8KV0+37+sa90VU9p6zr16pSee2Re88ynYYcAxIX1iQAAIAHq/pjub2vVP3et9s/9QCVlDwS7OSd99py0xtvQt/zz11SzK9JtryzRtZUfpSheIMVy86URh0vdBkvrPvfqqsqVn5vk76THnyRJ+mB58NHLP5wQvdE2gJB06CFZruSqYrc/8H31OeW51MbUTPFuewCEjSQYAABote5jpmr7e5eowCoC9QsLTpZU7xHHa/pLFaW1xfrbgsdaNNa5MD+hcQKh2/t86cmfJW/8quAc1L4/j9mtfTv+DADSRoce0hHXS+/fL1X5G8yv/KCuffk7ysvN0bRJA3XfW8vCiRHIEnz6AQCAVhs0eJjePeENLZr7gn649OLa+gKrkMpLpXYdpG3rAwmwSJ9UD4yqO2lSdB2Q0cacEEyCbV2nnp0KtHpz3UshlqzeokE9O7Zs/E+eCJa7lrRsHACptdsp3lFj1uXS6zcEuuw6sEsgCTbykmcD7eMGFOtvJ++unmn66CSQDtgTDAAAJMTuo4dr6nGn6SflFwUbruknVVdJ15UE60cfp/cHTNPtlUdoRvnZ6rvXD/T5NYdr8dWH6ZGfTta7F09Vn+LClMUPpER+xP9Pz71TP9lrp0DVAde/0vLxX7625dcCSB97nx8sb1mtDk2s4Pxg+UbN/HBFEoOKNrp/50B5Gl9eIc2RBAMAAAnTq1Oheu92dHTDFd2i646/S28OOV/XVP5IT1TvLeXkKTfHlJebowkDu/JNNtqG127QtvLKxI23dnFU1eJVmxM3PoDUKAwml/TyNc26rLS8gX3FkqR0e939+nQu1JVHj07p/YF4kQQDAAAJddHBwzS47L7GO10S/Up1oM3oNqju54qtybvPXudJkn79KC+cADLe3Lu0x6DugapZF+yrpb87QmfvNzikoKQRfTrV/vy93QaEFgfQXCTBAABAwlUpV2PL7ojd+IsvpJzc1AYEpJPJ5wSK/12xKTHjVmwLliedLUl6d2nw7W0j+0asMAGQnkqmBIrFRfk6fEwfSdKkQd00pFcL9w5MkhH8twUZICM3xjezAZKukHSopO6SVkp6XNLlzrlmv6PVzI6QNEPSqHrjzJN0g3PuzQSHDQBAm7JJHVRS9oCKtUX3/2AnjR45Uiro1PSFQLYb+33p6br9fnrlbonqsq60XN06tIuqb9SHDwbLnXrH7Hbcrv3jGxdAOA66Qrpj/7pydZVu/dEElVVUqTA/Pb5M+ujrjWGHAMQl41aCmdlgeYmqUyS9I+lPkpbIS2a9aWbdG7m8/jjXSXpa0q6SnpV0k6T5ko6S9IaZnZT46AEAaHs2qqPmlvYkAQbUaNchULyo66tRXf722pL4x33x6qiqbTH2BzpibN/4xwaQev13DZYX/keS0iYBJkmby+r2NCyvrA4xEqB5Mi4JJulWSb0kneucO9o59yvn3AHykmHDJUV/+kcwsz6SLpL0raRRzrnT/HGOl3SIJJO30gwAAMQpPy/614uVm8pCiATIDD3m3RRV98In38Y/UOmqup9zvAc+3lyyJqpb3+Ki+McGEL7nLw47goDyqmq1b1eXkOONzsgEGZUEM7NBkg6WtFTSLRHNl0oqlTTNzDqocQPl/dvfds6tqt/gnHtJ0mZJPRMRMwAAbU3nwvyoutteWSLnXAjRAGmqy451P7sq/WD3HQLN37Y2cXzAbyVJlz/1SevGARAyq/tx/dLQoqhR/7O8vLJaKzfW/beqfkIMSFcZlQSTdIB/ft45F1hr6ZzbLOkNSe0lTWpinEWSyiVNNLMe9RvMbB9JnSTNSkjEAAC0QaP7R2+Oe++byyRJa7ZsJyEG+EmqGtP2HBgob6r3iFGzbI144+rup2rxqi1atjb49sm+rNQAMssBabT6q6pCpWXbYzYV5udoYPem1qIA4cu0jfGH++fPGmhfJG+l2DBJsxsaxDm3zsx+KekGSZ+Y2eOS1koaLOm7kl6QdGZzAjKzeQ00jWjO9QAAZKMcs6i6S5/8WJ+v3qJ731ymKUN76N6fTAwhMiBNjDpaevT02mK37V+3brxX/xAsF3TSe19+FdXt+u+Na919AKTWxDOlF6+qK5eukTr0aLh/MlRVSn8cIm1br8j3UZ6yV4nyckyHjemr4qLoleBAusm0JFixf27oFRQ19V2aGsg5d6OZLZV0l6TT6zUtlnRP5GOSAACg+Yoa2LS3ZjXYa4vWaPn6bakMCUgvecE3Pxa/eZ2k77V8vLdubVa33Uu6tfweAFKvMGJl9ZybvbdGptILl0jb1kdVl6pIl35n59TGArRSpj0O2ZSar52bfMbCzH4h6WFJ98hbAdZB0gR5b5q838x+35wbOucmxDokfdqSfwAAANng7P2HNNmnvIq3SAE12n/2eFTdqpbuC9ZjmCRpxYbo66PXaALIKG9Ev0gj6d4Kbsdd4XK11nXSLe6E1McCtFKmJcFqVnoVN9DeOaJfTGa2n6TrJD3pnLvAObfEObfVOTdf0jGSvpZ0ob8RPwAAiNOUIT100KjeYYcBpLfBBzTa/Pri6Dc7xlQdkVA+9FpJ0oPvfhnVNS830379B6DeY8KOoFblwCkauv0+Tdh+mx7RgWGHA8Qt0z4FF/rnYQ20D/XPDe0ZVuNI//xSZINzbqukd+T9b7NLvAECAAApJ8d0xVE8IgE06uCrA8Xp+wY3x7/g3x80b5zFLwTLg70/TFdsDK4EO3Mfvt8FMtKBl4R376qKQLF86jUhBQIkRqbtCVaTtDrYzHLqvyHSzDpJ2kvSNklvNTFOgX/u2UB7TX15SwMFAKCti7U5PoB6eo8KFM/q8Jpu0Y7xj/Po6cGymdaXRv8ae9Ehw6PqAGSAIRErrr79WOqdxC+aFs2Slr3u/fzRw4Gm6l6jJEW/dAPIFBm1Esw597mk5yWVSJoe0Xy5vH297nXOlUqSmeWb2QgzGxzR9zX/fIaZ9a/fYGaHyUumlUmak9h/AQAAABBbpxd/FVVXVd3kVrdSWfROIF+sLY2qy+dRSCAz5US8bCbybbCJ9PU86f7jpNf/5B0bSXghu2TiJ+HZklZJutnMHjeza83sRUnny3sM8uJ6fftLWiBpdsQYD0uaJam3pAVm9nczu87MnpQ0U96eob9yzq1N8r8FAAAAbVluQaPNn6zYFN94Uy+TJL35Ob/GAlnr48eSN/bKRh7DnnR28u4LpEjGJcH81WC7yXur4x6SLpT3dsebJe3ZnMSV/xjl4fISZ5/I2wz/QkmTJD0j6RDnXAiv3QAAAECbcvydERXBlV/Xv7BQjVo+N1ieNF1frCnVH55r4joAmWX44am/Z79dvf3IDrxEOvFf0sFXpT4GIMEybU8wSZJz7itJpzSj31I18CZo51yFpBv9AwAAJFjX9u0abf9oeaMvcwbahhFHBorfz31ZD1btX1t+94t1jV9/3zHBcl47PTxvSYKCA5A29vm5tPCZurJzUrL33uw7VppyYURlZXLvCSRZxq0EAwAAmaFdXo6ePmfvBttveWlxCqMB0lTEH7HX5d8RKJeWVzV+/fboxyU/JMEMZJ/+uwbLX70TThxAhiMJBgAAkmZ0/2Ld8L1xMdvWxXh7HYA4uIhN8/39wLbGSJzd9IPxyY8HQOq8fkPYEQAZiSQYAABIqoN37hOzvl0ev4YAkqSTnwoUC9TMBPHcu4LlyTMkSe99uT6q6+Fj+rYoNABp6rNnw44AyEj89gkAAJKqY0HsLUi3V1brkfnLUxwNkIZ22idQ/Ev+zc27buYFwXKO96t9tYvump/Lr/1Axht9XNgRABmPT0MAAJB0u5d0japbV1quxau21JZzkr3BL5AhDsqdHyhf/NhHWvTt5pCiAZA29poRLFc3sWcggCgkwQAAQNLdNm23RtvNpP2G9UxRNEAaGnZog033v/2lfv7wh8HKlRHlc7zEmYvcJ0zS5MHdWx0egDTQZ2ywfNM46cGTdNRnv9T/5f9JZ+U+qZzqinBiAzJE7OcTAAAAEqhbh3aB8tHj+wX2KBrZt7N26NY+1WEB6eP790tX1iWrfp73L/2h8ge15aVrS4P9b5sSLHcfLEl654t1UUOXV1YnLk4A4YlcMb3xK2njVxouaXiudFjuu3puzThJI8OIDsgIrAQDAAApd9CoPjp457qDBBjavNzgd9PT857Ub48cFfcwj7+/IqquMtYmYQAy0+RzGm0u3sZem0BjWAkGAABSrnMRv4IAUboNltZ9Xls8dnxfXfn0J9H9Pvx3sHzGK7U//vOdL6O6D+vdMWEhAgjZwVdJo4+XNiyrrfrshbs0bP3L4cUEZBBWggEAgJT4+SHDlWPS+B26aPLgHmGHA6Sfn70bKHb9Y+/Y/R49PVjuN77RYadNKml5TADST7/x0qijao+1RQPDjgjIGHwNCwAAUmL6/kN00qSB6lyYJ+NNkEC0nNym+2xZHdeQN/1gvMYMKG5hQAAAZBdWggEAgJQpLsonAQY05vi7A8WlhT/UITnvKt/5b3z745Bg/0vWB4pd2+fX/jx5cHcdNb5/UsIEACATsRIMAAAASBejj5UePiVQdVu7P+kFN0matya6f07wO+31Wytqfz59yqCkhAgAQKZiJRgAAACQTg6+OqrqIL0lPXVusPLibwPFTWUVgfLXG7YlPDQAADIZK8EAAACAdDL5Z1JBJ1V88G/lf/l6w/3yC2t/XFdarl2vfCHQ/M3GsmRFCABARmIlGAAAAJBuJpysLcf9U9tdfuz2yzYGig+8vSyqS0Eev+oDSJzqahd2CECrsRIMAAAASEd5hbqg4qc6PvcV5ebmqEf3HlpQ3ls7nXCVdo3oumZLedTl+STBACTAhq3lmnjNbHXv0E7XHDsm7HCAViEJBgAAAKSpmdWTNLN6klQh6WuvbuyTH+vJn+1d2+erdVt1z5ylUde2yyUJBqD1zrhvnsorq7VyY5mumbkg7HCAVuGTEQAAAMggHy4PPgp5zj/fi9nvqPH9UhEOgCz3zhfran9etGpLiJEArUcSDAAAAMgw5ZXVkqSyiiq9/9WGmH26dyxIYUQAAKQ/HocEAAAAMsytLy/WjbMWNdi+z7CeKYwGQFu05+AeYYcAxI0kGAAAAJBhGkuASdLEkq4pigRAW/P748eqc2G+9h9Bsh2ZhyQYAAAAkIY6F+VrQNciLV+/Le5rp+1ZkviAALR5D5y2hyYPYQUYMhd7ggEAAABpKDfH9I9T99D5U4fFfW1xUX4SIgLQ1pRVVAXKI/t2DikSIDFIggEAAABpqqRHB82YOjTsMAC0UQ/NWx4ok2BHpiMJBgAAAAAAonRtH0x65eRYSJEAiUESDAAAAEhzE0u6Nbvvj/bYMYmRAGgr1pWW69XPVteWxw4oDjEaIDFIggEAAABp7trjxminHh2a1feCg+LfQwwAJGlzWWXtz8/+9xv9e27d45AbtlaEERKQUCTBAAAAgDQ3uGdHvXTRfk32u+/UieresSD5AQHISgu/2dxg25ShvBUSmS8v7AAAAAAANE+PjgVas2V7zLalvzsixdEAyDZVztX+3C4vRyN7em+DHN67o85nlSmyAEkwAAAAIENce+wY/f7ZT7Vo1ZawQwGQ5Xbo1l7/OXdK2GEACcXjkAAAAECGOGhUbz1//j5hhwEAQEYiCQYAAABkEDPTj/ccGHYYAABkHB6HBAAAADLMFUeNVv8uRbr2P5+GHQqATLd+qbRsjiSpx4YPwo0FSDKSYAAAAEAG2mdYz9ok2Oj+nUOOBkBG+nq+dMf+tcXBIYYCpAJJMAAAACADjezbWf97xEi9tWSdfnbAkLDDAZCJ6iXAIq0u4LFrZB+SYAAAAECGOm3KIJ02ZVDYYQDIEkv6f0fvfblBn1UP0Lbu39WRYQcEJBhJMAAAAAAA2prK8mD5J8/pzZV9dfHn/5UknZhTFEJQQHLxdkgAAAAAANqap88PlnecFE4cQAqxEgwAAAAAgCywdG2p5rzwWW15px7tdfiYvirIy43u/P4/UhgZkB5IggEAAAAAkAW+XLdVt85eFKibv2yDrjx6dOMXDtwriVEB6YPHIQEAAAAAyFC9OhU22v7vuV9FV370cLD8w38nMCIgfZEEAwAAAAAgQw3q0aH2572G9NB5U4dqTP/i2rrtldWqrnbBix45NVgu6JjMEIG0QRIMAAAAAIAMZVb3816Du+u8qcN0xVE7B/qcfu/cFEcFpCeSYAAAAAAAZJH+XYsC5dmfrqorPByxCuwXX6QgIiA9kAQDAAAAACCLmKzhxv9G7AfWvltygwHSCEkwAAAAAACyQcVWqXSNbOsaddMm5auytmlreaU0965g/zHfS3GAQLjywg4AAAAAAAAkwGvXS69drx6S5vsvjfy0egcdWn6dPlmxSbs9fX6w/3F3pDxEIEysBAMAAAAAIFMVdW20eUTOV/pV3j+12z07RVzHY5Boe0iCAQAAAACQqcb9QBp8oNS+e90RsSfYWXlPRV/3SzbER9vD45AAAAAAAGSqjr2kaY9G119W3PA1P52TvHiANMZKMAAAAAAAssxdU9/XG1U715bLXa73w5mvSb13buAqILuxEgwAAAAAgCxz4sQdNfLpi6UKp07apq0qUJVytbTv2LBDA0JDEgwAAAAAgCxT1M5f+SXTZrUPNRYgXfA4JAAAAAAAWWi/4T3DDgFIKyTBAAAAAADIQlcdPTqqbuma0hAiAdIDSTAAAAAAALLQgK7Rj0EedtNrIUQCpIeMTIKZ2QAzu8vMVpjZdjNbamY3mlnXZl7/P2bmmjiqkv3vAAAAAAAgmc45YEigvK2iSo+9t7y2vHbLdr306Sq9vHCVPvtmc6rDA1Iq4zbGN7PBkuZI6iXpCUmfSpooaYakQ81sL+fc2iaGeV/S5Q20TZF0gKT/JCRgAAAAAABCcua+g/XnFxcH6s5/8AOVdO+g8spqff/2t0K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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 280, "width": 608 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = data.plot(label='Data')\n", "spec.plot(ax=ax, label='Doctored Model')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see that our guess RV is off. Let's do a grid search for $v\\sin{i}$ and RV." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "n_vsinis = 20\n", "n_RVs = 20\n", "vsinis = np.linspace(1, 150.0, n_vsinis)\n", "RVs = np.linspace(-100.0, 100.0, n_RVs)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "loss_values = np.zeros((n_vsinis, n_RVs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will compute the sum-of-the-squares-of-the-residuals (\"chi-squared\") for each value of $v\\sin{i}$ and RV." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "868a4d56f42e40c98125ea9fed870845", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/20 [00:00" ] }, "metadata": { "image/png": { "height": 264, "width": 357 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "extent=[RVs.min(), RVs.max(), vsinis.min(), vsinis.max()]\n", "plt.imshow(loss_values, extent=extent, aspect=1, origin='lower')\n", "plt.scatter(best_RV,best_vsini, marker='*', c='w', ec='k', s=200)\n", "plt.xlabel('RV ($\\mathrm{km}\\;\\mathrm{s}^{-1}$)')\n", "plt.ylabel('$v\\sin{i}$ ($\\mathrm{km}\\;\\mathrm{s}^{-1}$)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Awesome, we have found the RV and $v\\sin{i}$ with the closest match to the data." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "best_spec_full = template.rotationally_broaden(best_vsini)\\\n", " .rv_shift(best_RV)\\\n", " .instrumental_broaden(resolving_power=55_000)\n", "best_spec = best_spec_full[data.wavelength.min():data.wavelength.max()].normalize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How does the best fit look by-eye?" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 281, "width": 608 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax=(data/data.flux.max()).plot(marker='.', linestyle='None')\n", "(best_spec/best_spec.flux.max()).plot(ax=ax)\n", "title1 = '$v\\sin{i} = $'+'{:0.0f}'.format(best_vsini)+' km/s, '\n", "title2 = 'RV = '+'{:0.1f}'.format(best_RV)+' km/s'\n", "title = title1 + title2\n", "ax.set_title(title);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Excellent! That's much better than our initial guess. \n", "It's still not *perfect* because the model template has imperfections." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 4 }