{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c2278aa9",
   "metadata": {},
   "source": [
    "# Masking and flattening a spectrum\n",
    "\n",
    "Often in high resolution spectroscopy we wish to designate the *continuum*---regions in the spectrum devoid of spectral lines.  The continuum is conspicuous in hot stars, but becomes ill-defined in cool M-dwarfs.  In this tutorial we show how to define the continuum using `muler` and `specutils`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5602eb97",
   "metadata": {},
   "outputs": [],
   "source": [
    "from muler.hpf import HPFSpectrum\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cfc94c58",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%config InlineBackend.figure_format='retina'\n",
    "plt.rcParams['axes.facecolor']='white'\n",
    "plt.rcParams['savefig.facecolor']='white'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "937c3490",
   "metadata": {},
   "outputs": [],
   "source": [
    "path = 'https://github.com/OttoStruve/muler_example_data/raw/main/HPF/01_A0V_standards/'\n",
    "filename = 'Goldilocks_20210801T083618_v1.0_0036.spectra.fits'\n",
    "raw_spectrum = HPFSpectrum(file = path+filename, order=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6a167a8d",
   "metadata": {},
   "outputs": [],
   "source": [
    "spectrum = raw_spectrum.sky_subtract(method='vector').remove_nans().deblaze().normalize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "af28999a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABNUAAAIwCAYAAAChj10ZAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAABYlAAAWJQFJUiTwAACCI0lEQVR4nOzdZ3gc1f328funbnVLllzk3itu4IJt3MCYXgIJJUAgEAiEGnoJhhQIyZNQEkJCQoCEBBJC4B+qKaYYYxtsAzbuvfciW5asdp4Xu5J3pV1Jo77S93Nde83uzJkzR/J4pb11ijnnBAAAAAAAAKDmopq6AQAAAAAAAECkIVQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAEcvMnjUzZ2Yf1qWsmc3wH6v4OGRmy8zsSTPrF6beUOeFeqTX4us718xeNbNNZnbEzHLNbKWZvWtm95vZRDMzr/U2J/7v/YzafH8AAACaUkxTNwAAAKAZKZW0K+B1O0n9/Y8rzOy7zrmXw5ybKym/mrprxMwSJb0s6ZSA3YWSiiX1ktRH0on+/W0l7a9p3c3Q/f7ts4rsrwMAALQy9FQDAAA4apNzrkPZQ1KipDMkbZYUL+l5M+sU5twbA88N8cj10I7fyheoFUn6haTukhKccxmSkiVNkPQrSTtq9VUCAACgzgjVAAAAwnDOFTrnXpd0sX9XG0mXNeQ1zSxV0vf8L+92zt3jnNvgnHP+NuU752Y7526X1FW+HnIAAABoZIRqAAAA1XDOfSxpi//lyAa+XD9Jcf7nr1dV0B/6BQ0rNbPvBc4dZ2aXmdlc/3xsB8zsfTObXl0jzOwMM3vNzLabWaGZ7TSz/5nZydWcF2tmP/BfZ5d/LrgNZjbTvz/JX+5ZM3MBp66rMAfdswF1ls2HN8PM4s3sHjP72swOBs5XZ2br/a8nVdG+svq7V9gfeI04M7vXP5/eYTPbaGaPm1nbgPIjzewV//cn38w+N7Ozq/u+AgCAloM51QAAAGpmi6QcSamNeM0cSctre7KZ/VbSTfLN55YrKU3SFElTzOw259yvQ5wTK+mvOto7T/5zsySdLul0M/uVv6dcxXNz5AsCh/l3lV23i3y96k6StFLSh5IOyDd8tb2/7G5JJQHVHQjxJSVI+ljSKPmGxh6u4suvrThJ78k3xLbAv6+LpOsljTWzCZJOlvSSv2yuv13HSnrFzC5wzv2rAdoFAACaGXqqAQAA1ExX/3Z/A1/nGx1d8OBXFXtUeTBMvkDtl5IynHNt5QvpXvAff8TMxoc47xH5ArX1ki6SlOKcS5OUIulq+UKk28zswsCTzCxe0v/5r7tbvmGyqf7rJkk6TtKjZV+bc+5G/7x1ZY6rMAfdjSHadp2kvpIukJTsnEuXb765vJp8Q2roWvkWgjjd3+5kSWdLOihfcHa/pOfk+z528rchW9JrkkzSo2bGH64BAGgF+IEPAABaguPNbHs1ZdJqW7mZnSapLACaF6bYY2b2cJhj33POvV2TaznnDpvZryT9RNJwSavNbJ6kOZLmS5rrnNtUg6rSJP3ZOXdnQN3bzOwSSZ0kTZY0Q0dXEZWZ9ZF0g3zB4VTn3NqAcw9J+pOZ7Zevl9Y9kv4ZcL3vSxoh6Yj/3K8Dzs2X9IX/URfJkk52zs0MqHtDHeusKE3SWc65jwL2veb/N3lQ0p2SZjnnvh/Qhl1mdrGkbZI6Sjpevh51AACgBaOnGgAAaAli5RtGWNUjwWulZtbJzL4v6Xn/rtyA5xWl1uO1Z0i6W9IhSdHyhTS3SvqXpI1m9o2Z/cg/VLMqv6i4w7/gwUP+l1PMLCPg8KXy/X74amCgVsEr8gVng8ysY4VzJemvgYFaPfs6MFBrIJ9VCNTKvBfw/KGKB51zeZLm+l8OboiGAQCA5oVQDQAAtAQfOeesqod8Q/aq0y1wsnz55lH7s6QM+eb4Ot85tyvMuZdXcf1XvXwxzuch+YZrXibfHGff6OicYwMlPSHpAzNLDFPNRufcujDHZvvrMh2d/0zyhXeSdJ5/Av5KD0mb5QsxJd9cY2XzsJUt4PCmhy/Vq88asO4yi8Ps3xnwfEmYMjv827ZhjgMAgBaE4Z8AAABHlUoqC82cfPN/bZRvYv0/Oee2NmZjnHNlPeOelyT/KpfTJd0raZCk8ZJ+LunmEKdvCbGvrN58M9snqZ18CxCUKet5lux/VKcs0MvQ0d8rN9bgvNoKF2jWp21h9pcvouCcq65MdT0IAQBAC0CoBgAAcNQm51z3pm5EOM65/ZJeNLNX5ZufbJCky8zsx865Uo/VWYh9ZaMYbnTOPV7HuhpCSfVFAAAAGgfDPwEAACKMc65AR1fxbKvg3mZlOoU738wSJKX7Xwb2/iobvjjQY5P2SCr2P+/m8dz6VNaGkHPYmVmtF6sAAACoiFANAAAgMuUFPC8McbybmXUPc+54+RZAcJK+DNhfNmfZGTVYBKGcc65I0gL/y1Nrel7Z6f5tffR22+/fdg5z/Lh6uAYAAIAkQjUAAIBmxczamdmwaspESfqO/+UG59y+MEXvCnGuSbrT//J959zegMPPyTevXKdQ51aop+Jk/GWron7PzI6p6twKcv3bdA/nhFO2yMBZFQ/4v+476uEaAAAAkgjVAAAAmpsOkhaZ2btm9j0zKx9OaWYJZjZJ0kwdXakz3NxnuZJ+YGa/KBv2aGYd5AvOpsrXQ+yBwBOcc8skPep/+YCZ/d7MegZcP9nMTjKzv0n6d4Xr/UW+Xm/xkt43s0vKViY1szZmNsrMnjaz0RXO+8a/vdTMosN+V2rmX/7taWZ2h5kl+a/fXdI/JR1bx/oBAADKEaoBAAA0L8XyBV4nSvqrpPVmVmBme+VbjXSWfKGYJD2poyFYRYv8x+6StMd//lZJl/iP3+6cmx3ivNsl/cH//FpJa8ws179aaK58gd535Rs+Ws45d0TSmZKWyLeq6POScv3XzZM0T9KVktpUuN6f/dubJB0ysw1mtt7Mfh3m6wrLOfeWpFfkG0r6sP/6+yStk6/32neqOB0AAMATQjUAAIBmxDm3XL7J/q+T9JKkZZKKJKVKOijfEMc/SRrrnLuuqlU/nXM3S/qefPOdxUg6JF8od4pzLmRo5Zwrcc5dK9+8a3+XtEFSnHxh2EZJ/5V0maSzQ5y7Sb7eYDdImu1vb6L/vHckXSVpfoVz/hqwv1hSF//X3y7c11WNCyXdI2mFv74iSf+RNNo5N7OWdQIAAFRizrnqSwEAACAimNn35Ovh9pFzblLTtgYAAKDloqcaAAAAAAAA4BGhGgAAAAAAAOARoRoAAAAAAADgEaEaAAAAAAAA4BELFQAAAAAAAAAe0VMNAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPAopqkb0FKZ2TpJqZLWN3FTAAAAAAAAWoruknKdcz2auiGEag0ntU2bNhkDBgzIaOqGAAAAAAAAtATLli1Tfn5+UzdDEqFaQ1o/YMCAjAULFjR1OwAAAAAAAFqEkSNHauHCheubuh0Sc6oBAAAAAAAAnhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHkVcqGZm55nZE2b2iZnlmpkzs7/XQ72X+OtyZnZlfbQVAAAAAAAALVNMUzegFu6VNFTSIUmbJfWva4Vm1kXSE/46k+taHwAAAAAAAFq2iOupJulmSX0lpUr6YV0rMzOT9FdJeyQ9Vdf6AAAAAAAA0PJFXE8159yssue+PKzObpA0RdIk/xYAAAAAAACoUsSFavXJzAZIeljSY865j83Mc6hmZgvCHKrzsFQAAAAAAAA0T5E4/LNemFmMpL9J2ijp7iZuDgAAAAAAACJIa+6p9hNJwyWNd87l17YS59zIUPv9PdhG1LZeAAAAAAAANF+tsqeamY2Sr3fa/3POfdbU7QEAAAAAAEBkaXWhWsCwz5WS7mvi5gAAAAAAACACtbpQTVKypL6SBkgqMDNX9pB0v7/M0/59jzZVIwEAAAAAANB8tcY51Y5I+kuYYyPkm2dttqQVkhgaCgAAAAAAgEpadKhmZrGSekkqcs6tkST/ogRXhik/Q75Q7Tnn3J8bq50AAAAAAACILBEXqpnZ2ZLO9r/s4N+ONbNn/c93O+du9T/PkbRM0gZJ3RunhQAAAAAAAGjpIi5UkzRM0mUV9vX0PyRfgHarAAAAAAAAgAYScQsVOOdmOOesikf3gLLrK+6rYd0M/QQAAAAAAEBYEReqAQAAAAAAAE2NUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8IhQDQAAAAAAAPCIUA0AAAAAAADwiFANAAAAAAAA8CjiQjUzO8/MnjCzT8ws18ycmf3dYx2ZZnalmf3XzFabWb6ZHTCz2Wb2fTOLuO8LAAAAAAAAGk9MUzegFu6VNFTSIUmbJfWvRR3nS/qDpG2SZknaKKm9pHMl/VnSKWZ2vnPO1UuLAQAAAAAA0KJEYqh2s3xh2mpJE+ULxbxaKelMSW8450rLdprZ3ZLmS/qWfAHbf+rcWgAAAAAAALQ4ETfM0Tk3yzm3qi69yJxzHzjn/hcYqPn3b5f0lP/lpDo0EwAAAAAAAC1YxIVqjaDIvy1u0lYAAAAAAACg2YrE4Z8NxsxiJF3qf/l2Dc9ZEOZQbeZ6AwAAAAAAQASgp1qwhyUNlvSmc+6dpm4MAAAAAAAAmid6qvmZ2Q2SfixpuaRLanqec25kmPoWSBpRP60DAAAAAABAc0JPNUlmdp2kxyQtlTTZObe3iZsEAAAAAACAZqzVh2pmdpOk30laIl+gtr1pWwQAAAAAAIDmrlWHamZ2h6TfSvpSvkBtZ9O2CAAAAAAAAJGgRYdqZhZrZv3NrFeIY/fJtzDBAklTnXO7G72BAAAAAAAAiEgRt1CBmZ0t6Wz/yw7+7Vgze9b/fLdz7lb/8xxJyyRtkNQ9oI7LJD0oqUTSJ5JuMLOKl1rvnHu24k4AAAAAAAAg4kI1ScMkXVZhX0//Q/IFaLeqaj3822hJN4Up85GkZz23DgAAAAAAAC1exA3/dM7NcM5ZFY/uAWXXV9xXwzrMOTepkb80AAAAAAAARIiIC9UAAAAAAACApkaoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHgU09QNAND87Tp4RHHRUUpLjK1Reeecikqc4mKidKS4RP9ZsEWb9h3W+SM7q2dWsiSpuKRUh4tKlJrgq3PnwQJlJsVryZYDykiKU5eMRBWXlOrlBZu1YsdBnTu8s4Z0Tmuwr7EqhcWlKi4tVWIcb5mRLr+wRLNX71b/DinKSolXbHSU1u0+pCiz8nuztNTp5QWb9fWW/RrTM1OHj5TohL5Z6pCW0MStBwAAANCc8AkRaKacc5q3bq+OFJdqfO92io6yer9GaanT5+v3KjEuJiiwOlJcoq82HdCgTql66fNN+tkbSxUTHaVHvzNMUwdkKy46Smamf3+xSX/+ZJ12HCzQz88eol0HC/TfRVv01eYDkqS4mChN7Z+tt5ZslyT94cM1+snpAzWmZ6ZOffwTSdKFo7pqZ26B3l++M6htt0/vp0feXlH++q+frte3j+2sqyf2Ui9/+NEY5q7do2tfWKhDR4p172kDdOnY7o127cbmnNPSbblKTYhVl4xEz+cXl5SquNQpITY6aP/BgiI9/fFa7cg9osuO764e7ZIUE22KjT7aWfpAfpGS4qIVE123DtSlpU5OUnSUqbTU6VBhsf722Qa9v2yHjuueoZcXbNaevMKQ5944tY/mrt2jeev2lu/7+9yN5c/vOqW/CopKtT+/UN87vru6ZSbVqa0AAAAAIps555q6DS2SmS0YMWLEiAULFjR1U9AMbN53WCnxsWF7em3Zn6/Fm/drfJ8sJcf7su4/fLhGv3x7uSTpe8d314wzB2nBhr3avC9ffdunaEDHVB0uLNbLCzbrwOEinT08R4+8s0LFJaWaPriDzhqWE7Y9Bw4Xafn2XH3nT3PL9z1w5iAlx8doxv++0cGC4nr86uvfa9eN09Au6eWvDxYUafuBAvXKSlZeYbE+W7NHw7u2VVZKfNB5xSWlyissUVqbyv8Ozjkt2rRfc1bvVo92yZo6IFuHC0s04qfvBpVb//BpkqRtB/K1eV++UhJi1K99iswqh55ldabEx6hP+5QafW07DxYoN79YiXHRWro1V+N6t9OR4hLNWrFTQzunl/em8qqwuFT/+2qrdh06onOH5yg7NUG7Dh7RnDW71bltG939yhKt2HGwvPw1E3vp++N76O0l29S/Y6qO7dZWZqbiklKVOmnm0u363QertXz7wUrX+unZg3XJmG46cLhIT364Wn/8eG3INkWZNKhTmhZvORC0PzslXh/eNilsz8D3lu7Qyws269CRYk0b1F4/ee2bSmV6Zydr9c5DXr5Fnj13xShN7JulgqISfbP1gAZ1SqsUKD754Wq9v2ynerZLUse0BKUkxGpMz0x1Sk/Q4i0H9MK8jZq/bq+O7dZWN53Yt8l6YwIAAACRYuTIkVq4cOFC59zIpm4LoVoDIVSD5Os18+0/fqYvNuyTJJ04IFtje7XThyt26pNVu0Oe89aNE9QrK1l9732ryrpvOrGPHn1vVdjj103upW+25mpYl3R97/juSk+MkyR9sHyHrnj2i1p+Rc1Ln+xkFRSXaNPe/ErH4mKiNPv2yTp4pFi/fmeFPl65S3mFJeXHLx/XXbef3F9t4nwhyJMfrg7qGefVzSf21Zeb9mneur3qk52ss4bl6MHXl5Yfv+WkvrpkTDe1TYoLef763Xk644nZOngkONBMiY8J2nfm0E7qnZ2snllJmjawg+JiQvfsWr49V1f/bYE27Dkc8vg/rhytq/+2oNL1qvK947vr2Tnrqy1nJn1822RNeGRWjesOda0ZZw6qtP9gQZGGP/iuikub78+u7pmJWh/m+16dtDaxmtCnna6c0FPDAoLjxvTW4m36eNUuTR/cURP7ZjVJGwAAAIBwCNVaAUK1lq+01Omavy/QB8t3amyvTP3m28MUE2U69w9zdKSoREM6p2npttyQgU9TmHHGQF12fHdd/bcFmrl0R1M3p1k47ZiOeuKC4brg6bmaHzDkryGdP7KzHjp3SNAwx3eX7tBVz3sPOtslx+n5K0ZrYKdUFRaX6oPlOxQXE6WXPt+kd76J/H/jT26fXGkY6kNvLdMfPwrd862lWXTfSWqbFKeCohKZSfExwb3giktKte9wUaUemV5t2Z+vVxZsVnGp09hembogoAfrf689XsO7tq10TmmpU1SUadPew4qNjgqab67s94pQvTcBAACAuiJUawUI1equtNTp0zW7VVBUqkn9soLmX2pqf5m9Tj8N6IUUKY7t1ra811x9GdszU+mJsRrWJV2Pvb9KJaVOk/pl6SdnDFLekWI9N2e9khNi9NqirdqeW1B+XtvEWM04c5D+MW+jerRL0oufbwpZ/9nDOqljehv94cM19druMr+/aISu+8fCBqm7Kr/9zlCdM7yzSkudet79Zp3qeuHK0Xr962365/yN1ReOID3bJemNGyaU9ybcsj9f4x7+oFZ1Dc5J1YwzBum9ZTvVuW0bdclI1GXPzK/ynEGdUtWjXZJe/3pbra5ZX5LiopVXWKK/Xn6cJvfLluQbfnza47O11z8/XEp8jLq1S9QrPxwXsvfiroNH9OL8jWoTF63RPTK1ZtchxcVEae7aPXr+sw1VXv+lH4zR6J6ZkqSVOw5q2m8/rlTGTLr3tIF655vt5QH1T88apEsqzEG4bneePlyxUyf0zQqaG7G01On1xdu0YnuuzhneWT3bJWl7boE6pbep+TcKAAAArQKhWitAqBastNSpsKRUcdFR2rD3sLpmJCra38vhJ68t0Zb9+brguK66YnyP8nN+9c5y/X6WL0g5a1gnPXbB8Bpdyzmn4lIXMoQrLXX6cvN+dc1IVLvk8L07Dhwu0sKN+1TiXwUwp20bfee4LurbPkVz1+4J6slRV+2S47X70JEale2akaheWUmatWJXvVx7RNd0dctM0n8XbalR+dOO6aiOqQn68+x1kqTbTu6n6yb3rtG5zjkdKS5VQmy0CopKKs09JUmb9h7W6p2HlNomVrNX7daEvu00wt9LpqTU6cMVOzV/3d6wc3RVZ1zvTG3elx80JHJ0j4ygielDmTawvb59bBct2rRPr3+9TSO6tlX3zCRlJMXqsfdXafeh0BPfV+ej2yZp9urduue/S2p1fn3qmZWk+04fqKv/tkCFxaU1OichNkpXjOuhEV3b6o3F28LeR2t+caqio0x78wr1rT/M0brdeUHHh3ZJ149P6qsS53T5Xz8POpbWJlbv3TJRWSnxWrBhn771hzlh2zOia7rOGpajEV3bykxatGm/fvnWcmUmx+kPF4/UwE6p5WWdc/pg+U4t3LhPpx/TSQM6poass7TUac6aPTp0pEjHdc9Qm7ho/WPeRv3sjWU1+h5V5dzhOXqlhv/3yvzr6rEa1SNDx/7svbDvG8t/Oj3o/1dxSamGPjAzaPizF4NzUvX69RMkSd3vfMPTueseOlX/XrBZR4pKNLJbRvkCJZIvkJ9x5iD165Cin72+tPx9JZyMpDj1bZ+snlnJWrhhn5ZvP6gLR3XVvacN0IH8Iv3m3ZVasuWAJvbL0tnDctS3fUqDLPACAACApkWo1gq01lDtn/M36o8frdGx3TP0w0m+VRpX7zyky5+dHzQMsltmot66cYLGPfyB9h0uKt8/fVAHPXXJSP1+1mr96p3K81tdPbGnumcmaXSPDPVol1RpeNHW/fm6/K+fa+3uQ7pyQk/dMb1/0PHLnpmvj1b6AqmxPTP1+4tHKCNgjqvSUqfHP1gVdq6yy8Z20z/nb1JhSc1Ch0BtE2O173CRHjp3iGZ+s11t4qJ1/sgumtw/W8UlpfrWU5/pq037q6zjsQuG6cyhndTjrqM9m24+sa8uGNVFy7cfVE56G/197ga9MG+DzKzacGThfScpIylO//p8k27/z9fl+zOS4pQYF63N+/JlJl02Nnh+q9U7DyolIVbtUxNCVdvgygK2tklxWrYtVztzj2jVzoN6c/H2Ks9775aJ6p2dXGUwcOGorlq2LVdf+v8tFtx7ojKrCGAl6ZnZ6/TTN5bKOalHu6RKodFlY7vpuRC9gUZ0TdfCjfurrLuupg/qoLe/Ofp9uWpCDz39yTrFRUcpOzVePz9niE7o0678/9LOgwVasH6fPl61S8u3H9Rx3TNUWFwaNJfaExcO1xlDO1W61vEPva+tBwqC9s25c0pQbyPnnPKLSkIuQlBQVKL+971daf85w3P0m28P1bl/mKNFAd+vvu2TNbFvlr7ZmquLR3fTacd0rHRuSalTlNXvUMTC4lLN+N83emfJ9qCVRM8f2VnLtx8sX3jBTBrRta0GdUrVgg379M3W3PKyw7um67/XjtO8tXv0yardmtw/Wxv35unml76q8tq9s5P13i0Tqw23yhbUmLViZ6WgsjbK6hv4k7d12EM4N6pHRqMNrQ7lvVtOUGqbWBUUlqprZvUr2hYUlWj/4SJlp8QrikAOAACgWSJUawVaSqi2fnee9uQVqkvbNsquIkB5Yd4G/WX2Oq3dFRwmpCfGan9AaBbolMEd9NaSqkOQ6pw4oL0Wb9mvwuJS/XBSL5U66eG3lpcfP3VIB912cn/1aJekw4XFGviTdyrVMaV/tn5wQk+N6Zmpy/86v956gZW5+cS+uvHEPtWWc85p16EjykqOl5lp/+FCfbF+nzqkJejdpTvUMytJpw3pqJjoKK3ccVDPzVmvdsnxumJ8j0qrWTrnZGb6cMVOfbB8p3Lzi/Tql1uDyvTJTta7t0wMOsc5BX2QLCop1cGC4qDgsTkrW22zoKhEm/fm64V5G/TV5gNKiI3S9VP6lPeq+/YfPwv5Qf9nZw/Wd8d0q9W1tx8oUHSUKSslXsu25er5z9arfWqCvj++h1ISYrUvr1CvL96m+1492iutf4eUSqtn/vycwbrwuK4qKC7R/5u5Un+ZvU5RJv3inCE6b2RnfbZ2j1ZsP6hFG/frjcVVD0uc2DdLz10xSpJ06Ehx+cqytfHe0h36bO0enTqkg0Z2ywhZZl9eoR5+a7kWbdqnvXlFeuOG8Z6D1+KSUvW+p/IiHa9ce7zOfTK4l9rr14/X4JymXS3zcGGxFm3crxFd26pNXLScc1q6LVed0tpUWpSiuKRUM5fu0Ka9h3X28JyQ35viklLNX79XFz09L+w1Q30vKnrvlhPULTNJfUJ8L0P5yekDgxbWCJQUF62Xf3i8rnthodZWCIwj0ZT+2Xr43CGVfqa99uUW3fXK4vLQsCwkzUqJ10kD22vJlgPqkpGoYzqnaXiXtnp32Q7tOFCg43tnyjlpYMdUgjgAAIBGQKjWCrSUUO3Wf3+llxdsliRN7Z+tSf2zNalvVtDk4c/NWa/7/++bpmpijaz9xan6cOXOKle9/MU5Q3T3fxd7rjs9MVYnD+ygl77wzQnWr32KVuzwBSUJsVGad9eJSkuMraqKRjH0gZk6kH804Dyue1v9+5rjm7BFTeecJz8N6vFUZumDJ4fsQVWf5q3do++EGT685IGTKwVfW/f7egt2TAueW+pIcYmO+9l7yi0IXr1zxhkDlRQfowP5RTp7eE6Vw5ybq+0HCjTmoffLX7dNjNWvzhuqKwMWc7hjen/9cFKvpmheo9iwJ08Tf/VhyGNDO6fpq80Hyl+P6ZmhrhmJ+tcXm8v3PX3psbr/tSWVeg5KvvnXxvbK1OzVuzWudzvdclJfDehYttjFTmUmx6m4xOnCp6se5t6vfYrapcTp0rG+BVAi2bnDc7R+T16deo7275Cit286wfN5BwuKtDevUN0yk1RQVKJdB49UWqADAAAARzWnUK1hPz0i4i0NGK70/vKden/5TklSm9hoLfrJSXprybZmH6hJ0gm/mqXN+6pehbOqQK1TWkLID6d//d5xGtsrUwmx0fr5OYPlJMVGR2nO6t36bO0enTSwfbMI1CQFBWqSVFzaegP1i0Z1DRmqxUQ1/GIYVfVkCdWTLNxE7fEx0XruilE6p0KPpe+N6xGyfCTpkJaghfedpBE/fTfk8Y5pCS06UJOkbplJYY8FBmr92qfoxR+MlSSt3ZUXtBBJxfesyf2y9JtvD6vUg65MXEyUpg/uIEnlCyCEM6pHhv519djy1y/+YEz5XJMXje6qf8yrvGhG28RY5bRto2kDO+h3H6yuNIz+9evHKye9jRLjoxUfE62SUieTtGx7rq587gsVlZQqKyVBy7blVqpb8s2/V/F9rqa8zm0XyvLtB3Xuk58qMzle5wzP0alDKg9HDuSc019mryufn29c70x9szVX+w8X6dwROfp/5w/Vv77YpIUb9uvcETkqKC7VI28vV0pCjK6b3Ft7DhVqzprdOnFAe00b1KHO7QcAAIB3hGqoUnJC6Fskv6hED/zvG727dGeN6unfIUW7Dh4Jmn+oTLgPQu2S4/X8FaPUNTNRj767stpJrKtSXaAWSlxMlJxzeuDMwTqmc5pOf2J2pTKT+mWVz9UUE7AwwvG92+n43u1q3d6G8NvvDA2ar+m47qGH8LUG/TuEnpS+Kf2ohgs+BBreta2m9M/WB/6wOzDkaGkC53QbGGZRgZbmoXOH6MH/LVVSvC9g2hdiKH3gPHLpAQH+kx+uDio3966p6pBW86G4GUlxahMbrfyiyvOnPXnxCE0dkB20b0zPzPJ51ySFDNU+u2tq+QIKN0z1DYnfsCdPuw8d8S8uERw4ly0yMKhTmj67a2r5/oKiEuUdKQ4512FxSak27D2s/MKSkO/ZDa2sp9u7S3do0X0nVQowV+88pIMFRUpJiNXf524Iuq8/Xb2n/PkrC7fo2G4Z5X/sKesJXWbu2qMr1/7ri82V5i4EAAAIVNVifqgbQjVU6R9XjtZNL32pD5bvrDQ59VebDlRafe7ze07Uw28t138Wbg7a/5fvHacOqQn6eNUu/fKt5Sp1Tsf3aqeLRndVn+xknfzox1q541B5+cDV5iTp2sm99fzcDVVOvB8XHaXCklIlx8fowbMGadaKXfrfV1tDln343CFauHGfMpLi9dRHa0KW+fyeE+WcU3pinJZvr9wz4qPbJtXr5OcN7ayhOVqzM08fLN+pUT0ydPepA5q6SagHT196rOav26uumYnKaaEfqvcdLgpa/KG19LG8cFRXnTM8R9FRpmtfWKh3l+6oVGZ0j9DheMWemF4CtTIPf2uIbnzxy6B9SXHR1fbAkiovkNEuOS7kir/dMpOq7JUXSkJsdMi6JN8fN3plJau01Om47m31+fqjPffOHtap0tyS4fzzqjHam1eovYcLlZOeoLwjJXph3gbNXVvzRRdG/eI9fXbX1PIh2K99uaXS97MqXqYjeHPxNq3dnaevN+/XxL5ZunVaP23am69O6QlBf/ABAACtS2Fxqd5YvFW/fmeltuz3dTS5cFRXPXTukCZuWctBqIYqxURH6XcXjZAk3f7yV0Fz9iytMATnrRsnKCslXh0rfHgb3SNDndISZGaa3C9bk/sF93CQpF9+6xj96B+LtGV/vjqlJej+MwYFHc9IitNbN07QRyt2aVCnVN3w4iLtyD2iDqkJunh0Vw3slKrJ/bKDhtY5p5ChWse0BF0wqqsuGNVVkvSX2WtVVBL8Mf20YzoGTf7fJzulUj1ePwg2tago060n99OtJ/dr6qa0avU9j3l0lGlsr8z6rbQZKvslQJK+c1yXJmxJ4yoLj4rDrDg8uufRf/uLRnfVe8tq1nu4JkItApFXw5U/n7hoeNAiCT+e1rjvO1FRpn9dPVZbDxQo70ixerRLUmx0lB7+1jH6ZNVu9cpKUs+sZBWVlFZazGH2HZPVuW3lOc1G98jQva8u0dYD+bphSh+dNLC93vlmh37y2hLtPHikUvmiEqdjf/aeVvxsuuJjoj0Fal6VDSGVpCVbcvX7WUf/WPTYBcOUnhinAR1TlJ3SNCs2AwCAmispdVq186D6ZKcoOsq0eudBZSTFly8et3DjPj05a406piUot6BIrwX80XBc70ydO7yzxvdpp9SEWJ36+CdBf5yWpDe+3kqoVo8iLlQzs/MkTZQ0TNJQSSmSXnDOfbcWdXWW9KCk6ZIyJW2T9KqkB5xz+6o4tVV65LyhGte7XdgPBgP8Q7IuHdtNG/Ye1rrdh3TK4I66dlKvant0De/aVp/eOaXKMr2yktUrK1mSNPuOKdq6P19dMxLD1n3iwPaV9sXHRFX6cHfH9P5BH0gk6eLRXYNeR0eZzh2eUy/z7qDpdW8XehLwxuh42NSrVUaKqlYq7ZUVWYF2fZjSP7vSysRtKvTWChUESdKoehzqPaFPzYa1x0ZH6ePbJuulLzYqJz1R547Iqbc21JSZVeq9mRAbrZMCfjbERkdpwb0n6pWFW5SWGKszh3YK2wsuOzVBf7r02KB90wd30L7DhbrrlfC9yr7ZmqsPq1lVevqgDsovKtFHK+t39WlJQT+zR/XI0HOXj1KbuMpfY1FJqbbtL1B6UqxSE5rHXKAAALQ2gYuadctM1PG92umf833Tapx+TEfdclJf3fWfxeUL41X06eo9QVNKhFJxoTPUTcSFapLulS9MOyRps6T+tanEzHpJmiMpW9JrkpZLGiXpRknTzWycc67qu7EVOnNop5Ch2vkjO5c/z05N0BMXDm/QdsRGR1XbUyw5PkY56W3Ke7g8ct4xOmVwB6VU+LBwydhumrl0h+av8w3rObZbW43tWbnnzyVju+mjlbt0IL+ofD4gRKaUhFj1yU7Wqp2HgvY3xhwD8THRmtCnnT5ZtbvBrxXJ4mKiNDgnVUu2hJ6UvrWpS2/Eif2y6q0dU/tX7mkcTtfMRN12cq1+RDeqzOR4XXVCz1qf3yG16t5fhcWlevz9VSGPPXLeMTpvROfyXta5BUX6YNlO3fTSl+VlZt8xWZ+s2q25a/fo7OE5mtwvW69/vVU3v/RlpV7W1Zm/bq9G/PRdLfrJSUHh4eZ9h/WdP84t/3nZNSNRuw8d0cS+WXrgrEE6UlSqlIQYLd2Wqzax0RrUKU1xMQwrBQCgPhWVlJYHapK0Yc9hbdhzdJ7a17/epte/3tYUTUMVIjFUu1m+MG21fD3WZtWyniflC9RucM49UbbTzH7jv8bPJV1Tt6a2PGamqf2zy1cBLdMcJ0iOjjI9e/lxemXRFvXJTtaZQzuFnFsmPiZa/7p6rPILSxQTbWGDleFd2+qzu6aqoLiEv+K3AIM6pQaFardPb7zhaaF6wiRV0TOrtRrXux2hml9qm8rvOaWuYWeX65ZRuedbVavXtlYn9M3SdZN7ae7avdqXV6g/XXqsbnv5q/J57SqG998d01Wx0VEa0bWtTj+mY1Bv69SEWJ09PEfHdE7Tkq25mtI/W8nxMbpwVFddOOpoD+rTj+mkyf2yVVzqNGf1bs1cukP/rWFP6vyiEr29ZLvOHn609+Bv310VNMR6497DkqS3lmzXW0u2V6pD8k3L8PgFw3Vcj7aKNmPuNgAAasA5F/Szf19eoV7/eqve/mZ7tT3M6ssbN4xvlOu0FhH3Kc45Vx6i1XaSeDPrKWmapPWSfl/h8P2SfiDpEjP7sXMuT6jWxWO6Vl+oCfRpn6I7ptesp0So4TAVxcVE8dd5NIizhnVq6iagGQs1F9aRKhZuqQ8x0VE6pnOavt58oHzfhD711+utpYiOsqp75FUIP392dvVzmPTMSlZP/3QH4ZQF8acM6ahThnTUd8d01fX/WKStBwqqrf+ml74MCtUqLi5UE3vzCvXdv8wrf/3s5ccpITZas1bs1PvLdqpjWoJ+cc4QdfGHs845Pfb+Ks1asUtnDu2kAR1S9NHKXZo2qL1Gdmu9q1EDAFqWt5ds0yPvrFCXton6zbeHlq9W/tyc9Xr0vZXlq7n/7fujNHftnqB5UOviqe+O0A0vflnlwn456W103+kDNagT09HUp4gL1epJ2eRdM51zQXedc+6gmX0qX+g2RtL7jd24SETPLaD24mKimmVvz+Yq3NxhLd25I3L0ysKjvZHuPrXhh1b2zkoOCtV6tGt989nV1R8/Xlv+vGzu0YYwsluGZt8xRU6+oE+S5qzZrY9W7tIzs9dVGir6xfq9OrZ7hgqKarb4RHW+99fPg16v3nlIEx6ZpeU/na6E2Ggt3nJAj77nGwb71ab95eX+Ome95t89VemJcfXSDgAAGsvy7bm66vkvtGlvvgZ2TNXvLhqua/6+UJK0dleeRv7svbDnXvKX+fXShj9cPEInD+qgqCjT3LsytfvQEc1bu0f3vfZNeZmlD56sxLjWGv00vNb6nS0b57UyzPFV8oVqfVVNqGZmC8Icav4TyQBoFhhQV3PDu6aHnUi+tWmMOQAvH9dD89bt1f7DhbrntIENfr2WIj9gldSDjTgZcMXhucf3aqfje7XTt0Z01imPfaKS0qPB2k0vfanZd0zRW0uC52b59M4pmvyrD1UYZsVZrxZu2KdDR4r1g7+F/nWpsLhUizbtD7kyeFVmr9qtT1bt0rRBHTSyW1tJ0vrdeZq3bo8m98tWdjVz3QEAEEpJqdPevEJtO5CvITlpYUfHHSwo0vRHPyl/vXRbrqb8v4/qrR3v/3iiNu45rMKSUk3pn62fvr5Uz3+2ofz4pWO76YEzBwW1LyMpThlJcerbPkWnH9NJc9fu0fG92xGoNbDW+t0t6+94IMzxsv3pDd8UAE3hcGFw74w45gNqdrqHWIykVzVD4lqy/Ar3bEyFAKUhegwP6ZymT26frBLnGiXEaymumtBTP/73V5KkA/lFTdwaqW/7FC17cLr63vtW+b7N+3xzqG3emx9UNie9jVb8bLp63PVmpXrOGZ6ji0d31btLd+j1r7cFzcMWzkV/nqcuGVX3xL38r5/rnZtOUL8OKSopdfpy035FmW8u04Ub9+mCP81VlPlW6758XA9t2ntYlzwzT875egJecFwXDeuSrjv9q7BmJsVpzl1TFB9DAA8Ard2ybbnKO1KsjultlJEYV2nKn10Hj2jWip0a2DFV1/x9QfnPxzLv3HSCOqUn6G9zN+jlLzbLyRdeLdiwr17b+a+rx2pUD18P8rI/IAf+3vuT0wdqYt8spbaJ1bHd2lY7FVbbpDidMqRjvbYRobXWUK06ZXdotbNAO+dGhqzA14NtRH02qrkI9f+34oc7oLnzzVe0o/z19MEdmq4xCOmc4Tm6y/8hGao0fG/qgPZBrzukNUzPnKgoUxT9KT1pH6aXVG4TBmxxMVH60yUjy3uMRYf4uf3DSb0k+easndQvSx+u2FV+rGe7JP32O8MkScd2z9Bdpw6QJJWWOv3izWV6d9kObdhzWCcNbK93l+4IqnfT3urDt5Mf/bjaMg/8b6k6t01UdFTwVHUvfr5JL36+qfz1nrxC/evzTXr0vVVKbROr20/up1OGdFRxSSkLKgBAhCssLtW7S3coyqR+HVK0PbdAY3tmhgyZ/rtos25+6augfTPOGKjxfbL0xAer9NqXW6u9XqifT+t21++068O7pmtUD9/8ouFGZMRER1X63Q/NQ2sN1cp6ooWboS+1QjkEOG9kF7237Ojqn90zE/klFRHnqgk9VFBUojW7DumWk/o26jxdgUOwEB7DPIN9+9jOen/5DjknXTiqS8h5+M4e1kmv1uAXRDSNy8d1b9LrBy40UVLqNPah97UtYGGD6IAPJFP6ZweFan+7cnTIOqOiTPeePlD3nn50eHBhcWlQr7j6dNXzX9SoXNlcMnvyCvXDFxaqX/sUrdhxUJI069ZJzA8IABHq1zNX6E8B85WWef6KUcovKtHVYaYbKDPjf0sbqmnVev368UpJiNHEX30YtP/FH4xpmgahXrTWUG2Ff9s3zPE+/m24OddatTE9g1fpumZiryZqCVB7mcnxmnHmoCa59qgeGfpg+c7qCwIBpg3qoE9un6z9h4s0qFPDTXiPhtPcgpxtFVYKTU88OoS4Yk+2RA8hd1xMlE4d0kFvLt5e6dgFx3XRgfwiXT+lj5Lioyt9sGgoZYGaJE3+9Ye6cFRX3XlKf63acVDDu7at9PU657Rw436t3nlQ0wd1VFoiCzIBQFObv25vyEBNki59pn4m/q8vb94wQTtyC7Rix0G99uVWTe6XpUGdUstX/yzz4g/GMF1BhGutodos/3aamUUFrgBqZimSxknKlzS3KRrX3KUnxum2k/vpuTnrNSQnTacew1htwItTBnfQw28tb+pmIAJ1bpuozm29nTO8S3qDtAWRJ6qaTuVnD88pfz65X7ZS4mN08EixTuibpbZJ3lbnPHtYTqVQbUr/bD38rWOC9qUmxCi3ERdzKPPP+Rv1z/kbJUntkuP1+T1Tg4YOzVu3Vxf8aa6/7Ca9et24Rm8jALQmn6zapZtf+lK7DxXqvJGddbiwWGt25qlz2zYa0zNTz89dX6PpBBrb/340Xm3ionXib44uUvDGDeM1sFOqBnZK1eT+2UGdUDKS4vSDE3rq+c/Wa3zvLB3XPSNUtYggLTpUM7NYSb0kFTnn1pTtd86tMbOZ8q3weZ2kJwJOe0BSkqQ/Oufqd7B0C3Ld5N66bnLvpm4GAKAaY3tlNnUT0ExU95fwtolHg7NO6W009+6pWr8nTwM7NlzPyF+fPzRoZdDZd0xW3pES/WPeBr23bKd+cEJPXTiqq/708Rr9emblAQQnD2qvmOgozfxme6V5B2tq96EjQQszXDWhh3LzjwZ9X27arx25Bfpm6wG1S46vcjU4AIC0ZX++Xv5is7q3S1Sf7BT165ASci7PMkUlpbrkL0d7mr28YHP58xU7Dur9Bh7h0aNdkib1y9KIrm01pX+21u3OU5e2iRr64MygcpP6ZenZy0cpt6BI7y/boaGd0/3zNEsL7j1Rby7ZrkGdUjWoU7hZpnzuPnWA7vbPTYrIF3GhmpmdLels/8uymcXHmtmz/ue7nXO3+p/nSFomaYOk7hWqulbSHEmPm9lUf7nRkibLN+zznvpvPQBUxgxrNRcfw/yNXiTHx/Dhvwn0zGpewzwDXTOxl576aE31BSUlxcdU+8EgnG4hVu8N9YFq2qAOuvvU/npv2U6dcUzH8vktHzhrsB4462i5H03po+sm99b/m7lSr321RSUlTtdN6a1zhucoMe7or7Prd+fpZ28sDZr71aunP1lXad/oX7xf/vzcETn6zbeH1bp+AGjpLn56rtbvOVz+un+HFL1xw4SQPwcKiko0ZMY7DdKOnu2S9LNzBmvtrjxN6pelzm0T9cjby/WHj9Yoykwf3TYp5LzKg3N8P/vWPXSqhsyYqUNHipWSEKPHLhguybfi+jnDOwedk5kcr0vGdGuQrwPNW8SFapKGSbqswr6e/ofkC9BuVTX8vdWOlfSgpOmSTpW0TdLjkh5wzu2trwYDQFUKi0urLwRJ0vnHdmnqJgDVCrWIRGvTr0NKpX1XjOsRsuwPTuilH5xQ/fysZqZbT+6nW0/uF7ZM93ZJ+vNlx5W/fm/pDl1Zw8UNauqVhVvUPTNJ543szL81AEjasCdPc9bs0chubfXLt5YHBWqStHz7QS3bllseVgV6/P1Vte5pfO9pA3T+yC5KS4zVb99dqQ9X7NTJgzvoyvE9FRfwh9jje7Urf3779P66YnwPpbWJVWw1i+2ZmRbed5K+WL9XgzunKTWB+TVRWcSFas65GZJm1LDseklh/0TvnNsk6fL6aBcA1FRSfPBb74wzBoYpiYq6tOUDLCLD6B4Zmreu+f19zrnwH1zqu09jZlKc9uQVlr9Ojm/8XztPHNhe6x8+TQVFJXrnm+36z8ItWrE9Vztyj9Sp3t+8u1KzV+/WExcO1y/eXKaduUf0oym9Na53u+pPBoAIt3LHQR3IL9LIrm1128tf6z8LN1d7TnFp6J8/f55duXdwONdN7qXiEqf9h4t0+/R+ykyOLz9280l9dfNJ4dYhDNYu4LzqxMVE6Xje21GFiAvVACDStUuO148m99bf5m7QsC7p+vZx9L4C0Dhyqgimo6qY76Y2JvRpp1e/3Fr+uk/75Hqt34uE2GidNSxHZw3zLcawZX++Xpq/UX/9dL0OHqndQgnz1+0NGhb62do9mto/W6cd01GnDO6oNnGs5gag5Xlz8TZd+8JCz+ct3LBPwyosnlRcUho0YqNv+2T98lvHaNfBI/rL7HXqmJagR84bGtTrDGhuCNUAoAlUN4QJQMvjdQXNhvCtEZ21ZX++Pl29W0u25Jbvf/by46o4q3buOW2gemYla/GWA7p1Wj8lxDafkCknvY1umdZPt0zrp417DiutTawOFRZr3to9mr9ur178fFOt6n1/+U69v3ynbvnXVxrZra2euHA4Q0QBtCjPzVlfq/MefH2prhgfPA3Aut3B6wI+873jyuc4mzaog4BIQKgGAGi2UhNilFtwtBdJc/pQ3hyxKEHzNrzCX+ibQlJ8jO46xbfi2N68Qr2xeJt6tUtqkFVis1LidcPUPvVeb33rmun7AJeWGKtzR3TWuSM66+FvHSPJ16Pt1UVb1CsrSdMGdlBhSan63/d2jepdsGGfjn/4A904tY8uGdvN03AjAGhuCopKdNbvPtWKHQerLRsXHaU3bxyv5z/boOc/21C+/9tPfaafnj24fN7NigNCQy0aADR3hGoAgGbrkzum6NJn5mvb/nx9f3yPSvPRIdgZQzvqv4u2NHUzEMLQLunNLvTMSIpjpbJq5KS30XWTe5e/ToiK1vje7TR79e4a1/HY+6v02PurtOSBk8vnlSsuKdUnq3Zr18Ejyi0o0vLtBzV/3V7tPnREV4zroe+P79EsejYCgCS98812Xf23BTUqO//uqcpOTZDkWxQgMFSbv36vTn70Yz36nWE6e3iOlm492mO6T3bTTREA1AWfTgAAzVZam1i9dt24pm5GxBjQMbWpmwC0eH+/crT+u2izbn7pK0nS3af21xuLt+urTfurPG/w/e/ovVsmqme7JPW+562w5X43a7V+N2u1Prl9srpk0GsDQP3YmVugVxZtUbeMRE0b1EHRUaYjxSV6c/E2FRU7nTG0U8i5IEtLXbWB2pXje+j0oZ00tHNa0B+QkuNjdMFxXSoNqb/ppS919vCcoD9Q7A1Y2AaIJIRqAAC0UIdqOQE76i78GptoCc4Z3lnnDO9c/vr743tq8ZYD6paRqHOe/FTr9xwOed6Jv/lI10zsVaNrnP37TzX37qmKjWaCbgChvfH1Nv3izWXasj9fUSZN7JulO07pr/4djv6Rbev+fF3wp7nauPfo+9JT3x2pEd3Sdcqjn5Sv0rxix0Hdd3rlFel3HCwIee3Lx3XX6cd00rAu6YquYqGbu04dEHKeytU7DwW9v43s1rb6LxhohvgpDQBAC3XKYCb5bSpxBCGtSnSUaViXdLVNitPbN52gf1w5WkseOFlnDO1UqexTH62pUZ178grV55631P3ON/Tqoi1yjqgWwFFb9+frun8s1Jb9+ZKkUifNWrFL0x/9RJv8AdrizQd0/MMfBAVqkvTCvA0a9fP3ywM1SfrL7HX6evP+Ste5rsJKn3ExUeqS0UaXH99DI7u1rTJQk3zz4/b3z6EW6NUK01VM7JdVZT1Ac8VvfAAAtFANMfk8auZHU3pXXwgtUkJstI7v3U7J8TF64sLh+u13hlZZfmjnNKUkVD145KaXvtRlf/1ckjRr+U7d8q8v9dqXzJ8ItESlpU5frN+rrfvzte2Ab7GUZdtytWDDPu05dEQvL9isa19YoIuenhu2jgmPzNK8tXt0xu9mhzz+yarQ80I+Oaty6L9w4/7y57HRpi9/cpI+vHVy+SIv1TEz/euasXr0O8OC9pc4pw178kKfBEQQhn8CAADUs6hmtigBms45wzvrjx+t1fLtlVfMe/fmE9Sn/dEeHCt3HNS0334csp6PV+7SF+v36qrnv1BxqdMrC7foxhe/LD9+1YQeOv/YLurbvnKPEACRwTmn05+YraXbcqsvXI27Xlns+Zy3v9le5fGfnz1EiXHeI4TUhFidPTxHW/bn61fvrJDk60U3Z80ez3UBzQ091QAAaCGiKwQ5BDtA83D9lD4h97dLjg963bd9ir66f5rG9c4MOaTqvKc+U3Fp6GGgT3+yTtN++7G63/mGbnpxkT5euYsho0AzV1xSqh//6yud8MgsPTN7ne7+75JaB2r9KgTqa3fXrhfYml2Hyp9/s/VA0LEzh1Ue0l5bFVdRZk41RCpCNQAAWoislHiN6p4hybfi1uT+2U3cIpTJY9GIVi0xvvKKepLUNimu0r60NrF64coxWvOLU7X+4dM0omu65+u9+uVWXfrMfPW4601d8KfPtGjjPs91AGg4a3Yd0v7DhZq9erf+s3CzNu49rAdfX6p/zt9Yq/r+ceVovXPzCbrzlP5hy4Sa10yS3rnphKDXb369rfz5V5uCQ7X4mLrFB6N7ZIQ9Fri4AhBJGP4JAEALYWZ68QdjtHjLAfXKTlZyPD/mm4sT+jABM4JNH1SzhUSe+u5IjfrF+7W+zty1e3XOk3P0/BWjdEJf7kOgKRUUlei7f56nLzbUPeh+6rsjlJIQq+Fd08uHZJ4zPEcPv7W8Utk3bhivQZ3StOfQEY382Xvl+398Ul/165CinPQ25QseLAnonTZv3dHhmRP6tJPVsQf88K6he6OxuA8iGXcvAAAtSFSUaWiXdAK1ZmYSq5qhlrJTE/TuzSdU2j+0S7okaViXdL18zdhq67n0mfn13TQAVTiQX6T/+2qrNu09rFkrduq6Fxaq/31v1zlQu3piT31x74maPrijxvVuFzTHWfvUhJDnDPD3AstMjtei+07S1RN76tHvDNMPJvaUJH1rZOfysu98s6P8+ccrd5U/z04JXbcX0VEWtsccEKn4jRsAAABoxvq0T9HHt03Wdf9YqDax0bp9ej8d2z1DeUeKleQP0F+/frwef3+VZi7dEbae7ne+od7ZyTpvZGf1yU5WSanT4cISndA3SxkhhqIC8C63oEhfbdqvS/5S+yB71c9PUay/99buQ0f0l9nrtGrHQd0wtY+O6Zxe5bmjemRo/rq95a+T4qIVFTBHY9ukON11yoCgcwKHmacE/FGuXXK89h0u8tdbP3Oeje6REXLhFiBSEaoBAADUs4yk2AqvCSxas1A9M4pLSz3V0TUzUf+7fnzQvqSAD7+Dc9L0p0uPVWmp0xcb9ik7JV55hcU67fHZQees3nko5PAwSYoy6f9+NF6Dc9I8tQ2Az8sLNuvWf3/l6ZzoKFOJfwGS7pmJevW6ceWBmuQLtu6YHn6utIpOHtQhKFSbVoOh5oHDMg8eKdahI8WVeryHG7rp1Xkju+i5zzbUS11Ac0CoBgAAUM96Z6foh5N66c3F23TigPYa1IkJmFuzjmltKu07Y2j9raIXKCrKNCpgMvDvjumqv8+t2eTnpU668E9zteC+kxRXxwnJgZZu3e48vb1ku47vlVk+HPvB/33jqY7LxnbTA2cNliTlF5YoITaqzvOWXTy6q3bkFuhPH6/V2J6ZuunE0KsPB6q4AMGs5Tsb7D2qT/vkBqkXaCqEagAAAA3gjun9PfUuQMs2JCdNi7ccnQC8T3bjzCt072kDaxyqSb5eKtMf/Vg/P2eIHn9/ldbsOqQnLx6hY7uHX7UPaG0Kikp0/lNztPtQoSRfkDW8a1vlFlS90vN7t0zU3+du0Gdr9uis4Z107aTe5cfaxIVeJdirhNho3X3qAN196oDqCwecE6igqKRe2hLuWl0zErVx7+HyfV577gLNCaEaAAAA0EIlxEbryvE99OfZ6yRJV03wPXcu/Dlrd+fpwqfnlr8+76nP1DEtQRP7Zum+0wcGDTsFWosNe/LUMa2N/r1gk+7575KgYy/M26gX5lUOry8c1VV3TO+nUielt4lVVJRpxpmDGqvJnnxrRGf9Z+HmoH2rdh5qkGt1TEsICtVKq3g/Apo7fiICAAAADWzpttyg19FRdRvi5cW9pw/UzSf1VWJctMxMl47trn2HC3Xlc19o58EjNapj24ECvfj5Jr34+SaN6JquX5w7RP07MKwZrcP1/1yk/3211dM5T148QqcO6dhALWp4G/ccDnpdn+9YFXvCXTWhRz3WDjQuJksAAAAAGtiJA7KDXvfJbtx5hZLiY8rnauqSkahjOqdr1q2T9Ozlx2nJAydr3UOnamr/7Gpq8Vm4cb9Oe3y2vty0X66qLm9AC/Dm4m2eA7XlP50e0YGaJG3Ymxf0umdW/b1ndc5IDHpd13nkgKZEqAYAAAA0sHtPG6iLR3fVlP7ZmnvXVEU1Yk+1cJLiYzSpX7aS/YHbRaO71vjcklKns3//qYY9+K5KGbuFFiC3oEjPfrpOL87fWN6TasmWA7r2hYWe6jm+V2alOcoiTcW54YZ1Sa/X3rVnHBPZgSMQiFANAAAAaGBdMhL183OG6JnvHacOaQlN3ZyQJvbNUsUOI6O6Z2j+PVN1T5hJzw/kF6nn3W/q/zz25AGa0r68Qr325RbtyC3QoSPF+u27K3XMjJma8b+luvOVxfrun+epqKRUX23eX+ncDqlH///eOq2vVv7slPIVnhPjovXLbx3TWF9GvXI6Go7/4cPVQceSmUcRCIv/HQAAAAAUEx2lpy85Vlc+/0X5vr9fOVpxMVG66oSe6tM+Wd/76+chz73hn4sUF22aPpgeKGjeikpKNf2xj7UjN/x8gl9s2Kc+97ylW6f1Ddq/eMY0pSTEVir/+vXjtWRLrrq1S1RqiOORoE1A77rslIYN/gd1Sgt63S0zMUxJoPmjpxoAAAAASdKkflm65aS+OnFAez13xSjFxUQFHMvWip9N1/G9MkOee83fF1aagBxoLpxz+s3MFepzz1tVBmqBfj1zZfnzC0d1DRmoSb45wYZ0TovYQE2Svn1sl0a7VpeMRL123TjdMKW3Hjp3iC48ruZDz4Hmhp5qAAAAACT5eqvdMLVP2OPxMdH6x1VjlFtQpJISp+E/fTfo+J68QuWktyl//cX6vbrxxS+VGBetb43srPG922lwTlrFaoEGtWnvYU14ZFad6kiOj+x50qpTcc603PziMCXrx9Au6RraJb1BrwE0BkI1AAAAAJ6E65GzfFuuctLbaMOePE381YdBxx5+a7kk6bQhHXX91N7q3yG1oZsJ6I2vt+m6f3hbbCCUK8b3qIfWRI6/zV1f/jxwvjUAwRj+CQAAAKBWbjkpeM6pd5fu0Kerd1cK1AK9sXibpj/6iV5dtKWBWweoRoHaDyf10vqHT9N7t5ygX5wzJGSZjmltQu5vqRLjjva/KSwubcKWAM0bPdUAAAAA1MoNU/vo3ws2adPefEnSi59vqvG5N730pc4a1klWcclRoI4OFxZr+qOfaOPew5WOfXTbJLVPTdD/fbVVH6/cpYtGddVY/zyBvbNT1Ds7RR8s36n3lu0oP2dK/+xGa3tzdNWEnk3dBKDZIlQDAAAAUGv3nz4oaMXQvMKaL1bQ4643denYbrp+Sh9lpcQ3RPPQSjjntGRLri56eq4OHgk9H9jSB08u74H17WO7hJ2cv6XPn+ZVxfnWABxFqAYAAACg1ib1ywp6HVPhA/hLPxij6CjTeU99FvL85z/boOc/26AF956ozGSCNXi3N69QIyosmlHRA2cOChrSCAD1gXcVAAAAALUWEx2ljKQ47c0rlCT9N2CutHtPG6DRPX1D69Y/fJpW7Tion7+5TB+u2FWpnpE/e0+PXzhcpw3pSM8YVKuk1GnbgXyt3HFQVzz7Rdhyt07rq0vGdldam9CLa4Sy69CRoNdHimve+xJA60KoBgAAAKBBxMUEr4vWp32Knr18lBZs2Ktv/aFyz7Ub/rlID7+5TG/deILSEmsegqB12XPoiEb+7L0qy/zzqjHlc6V5NaZHpj5dvaf89b2nDaxVPZFq6bZcdUhLaOpmABGhXkM1M7vIOfePasrESPqVc+7m+rw2AAAAgObl5EEdQu4f2S1D6x8+TV9t2q+zfv9p0LGtBwo09MGZ+vX5QzW1f7baJsU1RlMRAZZuzdXZT35a5WqU10/presm91ZCbO3nRbt8fA/FxURpxfaD+vHJ/ZST3rpW/pSk7QcKmroJQESo755qfzezKZKud87lVzxoZj0lvShppCRCNQAAAKCFio02tU+turfL0C7p+udVY3Th03MrHbv1319JkrpnJur6KX10zvAcRTEstFX7+ZtLqwzUxvdupx9P61fn6yTHx+jqib3qXE8k6dM+Oej1hj15TdQSILJEVV/Ek48lXSFpvpkF9ZE1s29LWijpWEmP1vN1AQAAADSRsvnUAkVZzQKwsb0yte6hU8MeX7/nsH7876/U8+43df9rS/TB8h3atPdwrduKyFRUUho0JDOUaye3riCsPsXHRKtvhWANQPXqu6faZEkzJN0j6XMzu0HS3yU9Ien7kvZKOsM590Y9XxcAAABAE7lmYi899dGaWp9vZvrk9sma8MisKss999kGPffZBknSuSNy9JtvD6v1NRFZ7n5lcdDroZ3T9Ovzh2rj3sPq2z5FWSnxdRryCSk9kaHWgFf1Gqo555yk+83sQ/nCtD9JekhSpqRPJF3knNtan9cEAAAA0LSyUuIr7SspdZ7q6JKRqPUPn6bcgiK9tmiL7nvtmyrLv7Jwi84alqOJfbM8XQfN25HiEu0/XKR2yfGKjjI552Rmeueb7UHlXr1unMxMfdqnNFFLAaCBVv90zs0ys8flC9TaSdol6WICNQAAAKB1KPYYqpVJTYjVJWO76+LR3XTibz/S2l3h53a67Jn5+u6YrrpmYi91bptY26aiCRWXlGrhxv0qKCrRp2t2648fra1U5jvHdlFuQXH561+dd4yshsOLAaAh1XuoZmbJkv4o6QJJW+WbZ+0CSV+Y2WXOuZn1fU0AAAAAzcstJ/Wt0/lRUab3bp6ouev2qKTU6ZK/zA9Z7u9zN+qFeRv1228P09nDc+p0TTSuVTsO6qTfflxtuZe+2BT0ekr/7IZqEgB4Uq8LFZjZcPkWI7hQ0juShjnnLpJ0kaQkSW+a2SNmxmB3AAAAoAWrj35EUVGm43u104Q+WfrmgZM1rndmyHLOSTe99KXW72bFwkhw6EixHnprWY0CtYoSYqOUmVx5uDEANIX6Xv3zM0ndJd3hnDvVObdbkpxzL0oaLulLSbdK+rQuFzGzzmb2jJltNbMjZrbezB41s7Ye6znNzGaa2WYzyzeztWb2bzMbW5f2AQAAAK1Jr6ykBr9GUnyMXrhyTJUrhU769Yf631dbVVrLoadoHPf+d3HIYZ41EWr+PgBoKvU9/HObpO845yr1zXbOrfGHVb+SdH1tL2BmvSTNkZQt6TVJyyWNknSjpOlmNs45V/Vay756finpdkl7JL0qabek3pLOkvQtM7vUOff32rYTAAAAaC1O6NN4iwWYmb66f5qGPhB6Vpnr/7lI1/9zkWKiTC//8HgN65LeaG1DaIXFpfrFm8v07Jz1VZZLiovWkM5p+u13hqljWhsN+snbyissaZxGAkAt1HeoNtw5tz/cQedckaSbzOy9OlzjSfkCtRucc0+U7TSz30i6WdLPJV1TVQVm1kG+HnM7JB3jnNsZcGyypA8kPSjfCqYAAAAAqhAVZWoTG638osYJQNLaxOrNGybovWU79Jt3V4YsU1zqdPbvP1WUSfeeNlBXjO/RKG1DsAOHizT0waqn1R7dI0MzzhykAR1Tg/bfeeoA3ffqkqB9hcWl9d5GAKiteh3+WVWgVqHc67Wp38x6Spomab2k31c4fL+kPEmXmFl1/c+7yfe1zwsM1PxtmyXpoCTW5gYAAACaqYGdUnXD1D5aPGNaleVKnfTg60u1bFtuI7UMZZxzOvXxT6osc+cp/fXS1WMrBWqSFMUCn02GHoJAzdT3nGoNbYp/O9M5F/QnCufcQfnmakuUNKaaelZJKpQ0yszaBR4wsxMkpUiqS286AAAAoFWLaqREJCUhVn+57Nhqy53y2Cfqfucbuue/i/Xlpv0N37BWbN7aPfrzJ2vV4643tWV/fthyN0zto2sm9vJU948m965r8+BRUnx9D3ADWo56/d9hZjWdbdI557y9e/r0829D9/H2hWXTJPWV9H4VF99rZndI+o2kpWb2qnxzq/WSdKakdyVdXZMGmdmCMIf61+R8AAAAoCWa3C+70a41qV+2bjqxj77ctF+9spL18oLNOpBfFLLsC/M26oV5G/X8FaN0Ql8Gp9S32/79lf69YHPIY2cO7aTHLhim/KISxcdEK7qa4DUzKa7Svt7ZKfXSTtTccd0zmroJQLNV35FzlKRQS+2kSUr3P98qKfRPuOql+bcHwhwv258e5ng559yjZrZe0jOSrgo4tFrSsxWHhQIAAACouQEdGy/8iI4y3XRi3/LXt53cT3f852u99uXWsOdc+sx8rfnFqdUGO6i5b7YeCBuonTs8Rz8/Z4jMTIlxNfsYOqV/+0r7xvQk4GlM3TIT+T8CVKG+51Tr7pzrEeKRIV/vsbclrZE0oD6vG6Dsf3u1a2ib2e2SXpb0rHw91JIkjZS0VtILZvZITS7onBsZ6iHfqqQAAABAq1Diqv0VvNEkxEbrsQuGa+XPTtHxvTLDlnvkbX5lr093/OfrkPtPG9JRv/nOMLWJi/ZUX1xMlFIChh4mx8fIjIAHQPPRaHOqOedWSzpXUo58iwrURllPtLQwx1MrlAvJzCZJ+qWk/3PO3eKcW+ucO+ycWyjpHElbJP3YvzACAAAAgGo0x1UZ42Ki9I+rxujNGyYEhTNl/vhxTWevQZm8I8U6WFB54NHrX2/Vki2VF4M4Z3iOfvOdobW+3uXjuivKpITYKN10Yp9a1wMADaFRZxx0zhWY2buSLpR0Vy2qWOHf9g1zvOxdNtyca2VO929nVTzgnDtsZvPlC9eGy9dzDQAAAEAV/vPDsfrWHz6TJI3tmdmsehQN7JSqxQ+cLOecfj1zhX4/a40kMaytgm0H8jVr+S51zUjU8b0yFRVlKi11uv0/X+vlgGGdcTFR+n/nD9UZQzuV73v6k3VBdX3w44nqmZVc5zbdMq2frp3cW9FRptjoSFtnD0BL1xTLeBRL6lDLc8tCsGlmFhW4AqiZpUgaJylf0txq6on3b8PNTFq2v7CW7QQAAABalZHdMvTeLSdo9c5DmtSIixR4YWa6+cS+5aFaVZx/OOuhI8UtctjhvrxCvb98p2Z+s10zl+4IWeb26f30yNsrKu0vLC7V9f9cpPG926ltUpycc/oqYEXVTmkJ9RKolUmI9TZsFAAaS6OGambWTr4eYJtqc75zbo2ZzZRvhc/rJD0RcPgB+eZF+6NzLs9/vVj55ksrcs4F/uT8RNKPJP3AzP7onNsS0MZT5AvnCiTNqU07AQAAgNaod3ZKRK3OWFLqVFrqFFWhx9qW/fma8MsPVOqfJi41IUZz7pqq5BBDSCPRX2av009fX1ptuVCBWqBTHvtEc++eqkUBgZok/eOqMXVpHprIkWY4hBto7ur1p4KZ/aSK63SRdJZ886HVZuhnmWvlC7seN7OpkpZJGi1psnzDPu8JKJvjP75BUveA/S9Lek/SiZKWmdl/JW2XbwGF0+Vb8OBO59yeOrQTAAAAQDP30cpdmtw/uGfduIc/CHqdW1Cswfe/o8cuGKazhuVUqmPOmt267d9f63Bhse48pb/2HS5Sl7aJOqZzmjqkJSg2OkoFRSVasf2gBuekqaCoRH/8eK22H8jX98f3VL8ODRdErtudp/v/7xt1TE3QKUM6aN66vfrDh9X31KuJ7bkFOpBfpC/W7w3a371dUr3Uj8aVlRzX1E0AIk59/6llRjXHcyX9zDlXo5U1Q/H3VjtW0oOSpks6VdI2SY9LesA5t7eq8/11lJrZqfL1drtAvt5ziZL2SnpT0uPOuZm1bSMAAACA5immwrxcK3ccDArVQk3CX+bGF79USkKMpvRvX75vb16hLnp6XvnrO/6z2FN7/vXFZv3yW0MUExWlsb0yNfOb7ereLkkn9Mmq1IMu0PLtuXr4reX6bM2eGvcweumLWg0YkiRdO6mXLh/XQwVFJZrwyNGpqf/vq63631fbyl+P7pFR62ugaZ03soveW7azqZsBRJT6DtUmh9lfKmmfpOXOueK6XsQ5t0nS5TUot16+XmehjhVJetT/AAAAANBKXDS6q/4xb2PIY28u3hZyf5krnv1C6x46VWam9bvzNOnXH9a5PaGCuNtO7qdfvXN0+OUfLxmpfXmFmj64g1ITYjX90U/qfF1JGtAxVVEmLd9+UG1io3XoSPDHtSiT5t9zotolx4c8f8nmA0pJOPqxsk/7+ptLDQCau3oN1ZxzH9VnfQAAAABQ36qaG23Lvvyg18t/Ol3973s7aN+aXYfUOztFf/y4foZRhhIYqEnS1X9bIEm68xVvPeGqcubQTnr8wuFB+/bmFaqk1OneVxerY1obnTG0U6VA7btjuurvc32hZMXedKcM7lhv7QOA5q5lzLQJAAAAALXw9eYDQa8f/2B1+fMfnNBTCbHRWvfQqepx15vl+w8XlkiSPl65u3EaWU8eOneIThncQQs37lPHtDbqH2Iut4wk37xaf7zk2LD1DOiYWv78n/M36vhemfXfWACIAHUK1cysa23Pdc6F7m8NAAAAAA3IOVf+/I3F2/T7gGNpbWJ1IN83r1rHtARJkplpSE6aFm854D9fKiwu1Zb9wb3aFt13kopKSvXw28v1ysItkqSp/bN168n99MQHq/Tm4u31/rU8e/lxGtQpTbsPHdHVf1ugjXsPKyE2SpP7ZWtI5zRdOrZ7pZ55gXPC1UZCTHTQ6zlrWN8NQOtU155q6yW56gqF4Orh2gAAAADg2XHdM/T0J+skSWbSUx+tUUmp04WjusoCRjOedkzooYz/mLdR10/tHbTvo9smqa2/l9dvvj1Ml43tro17D+vEAe3VJi5aT148Uut35+nZOev1wrwN6pCWoL7ZKZq9ercm9MnS7y4ars/W7NHlz35eo6/hmom9dOPUPmoT5wu4slLi9fHt4aa4rl8nDgwfylU1tBYAWpq6vuM9r9qFagAAAADQJEYFrFDpnPTwW8slSZsrzKcWG3V0pdC9eYXlz/fnF+q1L7cGle2WmRT0emiXdA3tkh60r3u7JM04c5BuO7mf2sRGV5qPbHL/bK1/+LRK7c0tKNJri7bo680HlJUSr28f20Xd2yVVKtdY0trEKikuWnn+YbCBjumc1gQtAoCmUadQzTn3vXpqBwAAAAA0qX/ODz9DzZUTeuiB/y2VJEWZafehI7W+TpLH3lypCbG6ZGz3Wl+vIZhZpX2DOqWG3A8ALVVU9UUAAAAAoHVrn5pQ/nzd7rygY7ed3K+xmwMAaAbqHKqZ2aVmdkx9NAYAAAAAmov0xNiQ+5dvP6jC4tLy1wmx0SHLAQBatvroqfaspLMDd5jZZWb2QT3UDQAAAACN7sQB2UFDGQd3Cp4r7IV54YeKAgBah4Ya/tld0sQGqhsAAAAAGlRWSnzQ666ZiWHLJsfTUw0AWiPmVAMAAACAGugeJlibPrhjI7ek6R06UtzUTQCAJkeoBgAAAKBVqc850OJjopTWJvTcay3ZOcNzmroJANDkCNUAAAAAtCosLFB3PdolVdq351BhE7QEAJpOfYVqrp7qAQAAAIAGd+Gork3dhBbn0uO7NXUTAKBRxdRTPTPMbEbFnWZWEqa8c87V17UBAAAAAE0sJ71NUzcBABpVfQVbVn2ROpUHAAAAAACNaF8eQ3qBqtQ5VHPOMS8bAAAAAAAtTP+OqU3dBKBZIxADAAAAgAqioxhcA5w6uENTNwFo1gjVAAAAALRCVa+1ds7wzpX2bTtQUGlfqWPNNgBorQjVAAAAALQ6Jw+qugdOdkp8pX3XTe5daV9RSesM1WKi6ckHAIRqAAAAAFqdXlnJns9pn1o5aLt+SuWgrTWYNpBhgQBAqAYAAACg1clOjVdGUlyd62mtc691yWjT1E0AgCZX59U/AQAAACDSxMdE6+/fH63Xv96qw4UlenbO+qZuEtCk2sRFN3UTgIhDTzUAAAAArdLATqm6fXp/Teyb1dRNAZrc2J6ZTd0EIOIQqgEAAAAA6iwxjoFQkSwuJkqd0hKauhlARCFUAwAAAADU2YQ+7Zq6CQDQqAjVAAAAAAB10jEtQQmxzMkFoHUhVAMAAACACmKiW+eqngCAmiNUAwAAAIAKOqa1aeomRJTc/KKmbgIANDpCNQAAAACt2rAu6UGve2YlNU1DIki0BffkyyssaaKWAEDTIVQDAAAA0Kq1TYoLes3Az+rFRPNREgB4JwQAAACAGmifmtDUTWhWnvruyPLn5w7PacKWAEDTiGnqBgAAAABAJJjQJ6vSvpio1tuv7eRB7fXqdeO0/UCBpvTPburmAECjI1QDAAAA0Or1a5+iFTsOSpKG5KSFLBMdZcpMitOevMLyfdMGdWiU9jVHZuabj65LU7cEAJoGwz8BAAAAtHozzhykgR1TNapHhn40pU+Nz+uWmdiArQIANGf0VAMAAADQ6o3tlak3b5zQ1M0AAEQQeqoBAAAAAAAAHhGqAQAAAAAAAB4RqgEAAAAAAAAeEaoBAAAAAAAAHkVkqGZmnc3sGTPbamZHzGy9mT1qZm1rUdcEM/uPmW3z17XNzGaa2akN0XYAAAAAAABEvohb/dPMekmaIylb0muSlksaJelGSdPNbJxzbk8N67pX0k8l7Zb0uqRtktpJGi5pkqQ367v9AAAAAAAAiHwRF6pJelK+QO0G59wTZTvN7DeSbpb0c0nXVFeJmZ0vX6D2nqRznXMHKxyPrc9GAwAAAIh8e/IKm7oJAIBmIqKGf5pZT0nTJK2X9PsKh++XlCfpEjNLqqaeKEm/lHRY0kUVAzVJcs4V1UebAQAAALQc54/sHPTaZE3UEgBAU4uoUE3SFP92pnOuNPCAPxj7VFKipDHV1HO8pB7yDe/cZ2anmdkdZnajmY2t70YDAAAAaBl+NKW3EuOiJUmnDumguJhI+0gFhFfiXNDrrpmJTdQSIDJE2vDPfv7tyjDHV8nXk62vpPerqOc4/3aHpIWShgQeNLOPJZ3nnNtVXYPMbEGYQ/2rOxcAAABAZOmWmaR5d0/Vxr2HNbBjalM3B2hQE/tmN3UTgGYt0v6skubfHghzvGx/ejX1lL0zXCOpjaQTJaVIGizpHUknSPp3rVsJAAAAoMVKSYjVoE5pMmPoJ1q26CjucaAqkdZTrTpl/+NdlaWk6IDy5znnvvK//sbMzpGvJ9xEMxvrnPusqoqccyNDNsTXg21EzZoNAAAAAACASBJpPdXKeqKlhTmeWqFcOPv827UBgZokyTmXL19vNUka5bmFAAAAAABEIFdd9xQAQSItVFvh3/YNc7yPfxtuzrWK9ewPc7wsdGtTs2YBAAAAABDZdh480tRNACJKpIVqs/zbaWYW1HYzS5E0TlK+pLnV1POxpGJJfcwsLsTxwf7t+to3FQAAAACAyHHzieH6rwAIJaJCNefcGkkzJXWXdF2Fww9ISpL0vHMuT5LMLNbM+ptZrwr17Jb0knzDSH8SeMzMTpJ0snxDSN9ugC8DAAAAAIBmJyE2oiICoMlF4kIF10qaI+lxM5sqaZmk0ZImyzfs856Asjn+4xvkC+IC3eI/7x4zO0HSfEndJJ0jqUTSVc65/Q32VQAAAAAAACBiRVwM7e+tdqykZ+ULxX4sqZekxyWNdc7tqWE9O/3n/1ZSF0k3SJoi6Q1JE5xz/673xgMAAAAAAKBFiMSeanLObZJ0eQ3KrZdkVRzfK1+PtVvqrXEAAAAAAABo8SKupxoAAAAAAADQ1AjVAAAAAACA0hNjm7oJQESJyOGfAAAAAACgfp06pKPeXbpDy7Yd1I1T+zR1c4Bmj1ANAAAAAAAoJSFWf77suKZuBhAxGP4JAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4RKgGAAAAAAAAeESoBgAAAAAAAHhEqAYAAAAAAAB4FJGhmpl1NrNnzGyrmR0xs/Vm9qiZta1DnZeYmfM/rqzP9gIAAAAAAKBliWnqBnhlZr0kzZGULek1ScsljZJ0o6TpZjbOObfHY51dJD0h6ZCk5PptMQAAAAAAAFqaSOyp9qR8gdoNzrmznXN3OuemSPqtpH6Sfu6lMjMzSX+VtEfSU/XdWAAAAAAAALQ8ERWqmVlPSdMkrZf0+wqH75eUJ+kSM0vyUO0NkqZIutx/PgAAAAAAAFCliArV5Au/JGmmc6408IBz7qCkTyUlShpTk8rMbICkhyU95pz7uD4bCgAAAAAAgJYr0uZU6+ffrgxzfJV8Pdn6Snq/qorMLEbS3yRtlHR3bRtkZgvCHOpf2zoBAAAAAADQvEVaqJbm3x4Ic7xsf3oN6vqJpOGSxjvn8uvYLgAAAAAAALQikRaqVcf8W1dlIbNR8vVO+3/Ouc/qckHn3Mgw11ggaURd6gYAAAAAAEDzFGlzqpX1REsLczy1QrlKAoZ9rpR0X/01DQAAAAAAAK1FpIVqK/zbvmGO9/Fvw825JknJ/vMHSCowM1f2kG8FUUl62r/v0bo2GAAAAAAAAC1PpA3/nOXfTjOzqMAVQM0sRdI4SfmS5lZRxxFJfwlzbIR886zNli/Aq9PQUAAAAAAAALRMERWqOefWmNlM+Vb4vE7SEwGHH5CUJOmPzrk8STKzWEm9JBU559b468iXdGWo+s1shnyh2nPOuT831NcBAAAAAACAyBZRoZrftZLmSHrczKZKWiZptKTJ8g37vCegbI7/+AZJ3Ru3mQAAAAAAAGipIm1ONfl7nB0r6Vn5wrQfy9cb7XFJY51ze5qudQAAAAAAAGgNIrGnmpxzmyRdXoNy6yWZh3pnSJpR23YBAAAAAACgdYi4nmoAAAAAAABAUyNUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPCJUAwAAAAAAADwiVAMAAAAAAAA8IlQDAAAAAAAAPIrIUM3MOpvZM2a21cyOmNl6M3vUzNrW8PxMM7vSzP5rZqvNLN/MDpjZbDP7vplF5PcFAAAAAAAAjSOmqRvglZn1kjRHUrak1yQtlzRK0o2SppvZOOfcnmqqOV/SHyRtkzRL0kZJ7SWdK+nPkk4xs/Odc65hvgoAAAAAAABEsogL1SQ9KV+gdoNz7omynWb2G0k3S/q5pGuqqWOlpDMlveGcKw2o425J8yV9S76A7T/123QAAAAAAAC0BBE1zNHMekqaJmm9pN9XOHy/pDxJl5hZUlX1OOc+cM79LzBQ8+/fLukp/8tJ9dFmAAAAAAAAtDwRFapJmuLfzgwRiB2U9KmkRElj6nCNIv+2uA51AAAAAAAAoAWLtOGf/fzblWGOr5KvJ1tfSe97rdzMYiRd6n/5dg3PWRDmUH+v1wcAAAAAAEBkiLSeamn+7YEwx8v2p9ey/oclDZb0pnPunVrWAQAAAAAAgBYu0nqqVcf8W8+rdprZDZJ+LN9qopfU9Dzn3Mgw9S2QNMJrOwAAAAAAAND8RVpPtbKeaGlhjqdWKFcjZnadpMckLZU02Tm3t3bNAwAAAAAAQGsQaaHaCv+2b5jjffzbcHOuVWJmN0n6naQl8gVq22vdOgAAAAAAALQKkRaqzfJvp5lZUNvNLEXSOEn5kubWpDIzu0PSbyV9KV+gtrP+mgoAAAAAAICWKqJCNefcGkkzJXWXdF2Fww9ISpL0vHMuT5LMLNbM+ptZr4p1mdl98i1MsEDSVOfc7oZsOwAAAAAAAFqOSFyo4FpJcyQ9bmZTJS2TNFrSZPmGfd4TUDbHf3yDfEGcJMnMLpP0oKQSSZ9IusHMVMF659yzDfIVAAAAAAAAIKJFXKjmnFtjZsfKF4pNl3SqpG2SHpf0QA0XGejh30ZLuilMmY8kPVunxgIAAAAAAKBFirhQTZKcc5skXV6DcuslVeqC5pybIWlGfbcLAAAAAAAArUNEzakGAAAAAAAANAeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEeEagAAAAAAAIBHhGoAAAAAAACAR4RqAAAAAAAAgEcRGaqZWWcze8bMtprZETNbb2aPmlnbpqgHAAAAAAAArUtMUzfAKzPrJWmOpGxJr0laLmmUpBslTTezcc65PY1VDwAAAAAAAFqfSOyp9qR8QdgNzrmznXN3OuemSPqtpH6Sft7I9QAAAAAAAKCViahQzcx6Spomab2k31c4fL+kPEmXmFlSY9QDAAAAAACA1imiQjVJU/zbmc650sADzrmDkj6VlChpTCPVAwAAAAAAgFYo0uZU6+ffrgxzfJV8PdD6Snq/EeqRmS0Ic2josmXLNHLkyKpOBwAAAAAAQA0tW7ZMkro3cTMkRV6olubfHghzvGx/eiPVU5WS/Pz8AwsXLlxfhzrqQ3//dnmTtgKoO+5ltCTcz2gpuJfRknA/o6XgXkZLEup+7i4pt/GbUlmkhWrVMf/WNVY9zrlm3RWtrCddc28nUB3uZbQk3M9oKbiX0ZJwP6Ol4F5GS9Lc7+dIm1OtrAdZWpjjqRXKNXQ9AAAAAAAAaIUiLVRb4d/2DXO8j38bbq60+q4HAAAAAAAArVCkhWqz/NtpZhbUdjNLkTROUr6kuY1UDwAAAAAAAFqhiArVnHNrJM2Ub1K66yocfkBSkqTnnXN5kmRmsWbW38x61aUeAAAAAAAAIFAkLlRwraQ5kh43s6mSlkkaLWmyfMM17wkom+M/vkGVl1v1Ug8AAAAAAABQzpyr60KZjc/Mukh6UNJ0SZmStkl6VdIDzrm9AeW6S1onaYNzrntt6wEAAAAAAAACRWSoBgAAAAAAADSliJpTDQAAAAAAAGgOCNUAAAAAAAAAjwjVAAAAAAAAAI8I1QAAAAAAAACPCNUAAAAAAAAAjwjVAAAAAAAAAI8I1ZoRMzvNzGaa2WYzyzeztWb2bzMbW6Hcs2bmqnm8H6L+bDN7xMyWmNlBM9tjZgvM7DYzSwnTpjZm9oCZrTCzAjPbaWb/MrMBDfV9QOSr6b3sLxtvZteZ2Xwz221mh8xsmZk9bmbdqrjGZf5zDpnZATP70MxOr6I89zJqpSHvZzMb539f/tzMdpnZETNbZ2Z/NrPeVbSJ+xmeNcZ7c4Xzl/h/J9lcRTnuZdRKI/2ukWxm95nZV/5zDprZN2b2JzOLDVGe+xmeNfS9bHwGRCPyeD8nm9lP/fdwgZntN7P3zezUaq7RrD4HmnOuPupBHZnZLyXdLmmPpFcl7ZbUW9KZkmIkXeqc+7u/7NmShoWp6hJJPSXd5pz7dUD93SXNk5Qt6UNJX0hKkDRNUl9JX0sa45zLDzgnXtL7ksb5y38gqYuk8yUVSprinJtXt68cLY3HezlGvvtxnKTlkt6TdETScZJOkHRA0vHOuaUVrvFrST+WtFnSy5LiJF0gKUPS9c6531Uoz72MWmno+9nMtkvKkjRH0gJJxZLGSjpeUp6kk5xzn1VoE/czPGuM9+YK1/t/kn4gKVnSFudc5xBluJdRK430u0Z3Se/66/1Evt+jTVJ3SVMkdXXOHQooz/0Mzxrh94zu4jMgGonH+zldvvfWwZK+ke+eS/KXzZJ0o3Pu8RDXaH6fA51zPJr4IamDpBJJ2yVlVzg2WZKTtLYG9aRLOizfm2u7Csd+76/n/gr7o/03mZPvJg88dpd//78lRQXsP8u//5vA/Tx4eL2X/W9mTr5fCqIqlH/Af+yZCvuP9+9fLaltwP7u8r2BF0jqXuEc7mUenh+NdD/fIalTiGvf7S+/OMQx7mcenh6NcS9XKDNJUqmka/xlN4cpx73Mw/Ojkd6bYyUtku8D15kh2hAtf+eEgH3czzw8PRrpXuYzII9GedTifn7Uv+8/kmIC9mdJWud//+1ToZ5m+TmQ4Z/NQzf5huLOc87tDDzgnJsl6aB8N1d1LpHURtIrzrndFY719G//r0L9JZLe8L8sv4aZmXy/DEvS7c650oBzXpMvVR4oaWIN2oXWw+u9XHZfvhF4j/m95t9WvPfL7sufO+f2BdS/Xr5fHOIlXV62n3sZddDg97Nz7pfOua0hrv1LSfmSBptZZtlO7mfUUmO8N0uSzCxV0rOS3nfOPRWuQdzLqIPGuJ8vkW9UyGPOuf+rcEzOuRLn/1QmcT+j1hrjXuYzIBqL1/v5XP/2J8654oCyuyT9P/n+uHGNgjXLz4GEas3DKvmS2FFm1i7wgJmdIClFvr9IVOcq//ZPIY5949+eVqH+KEmnyPcX5Q8CDvWS1FXSSufcuhD1veXfTqlBu9B6eL2Xy+7LU/z3YqCycfEV7/2ye+7tENcPdV9yL6O2GuN+DsfJNxRU8v3Vrwz3M2qjMe/lxyW1lfT9atrEvYzaaoz7+SL/9lkz625mPzSzu8zs4sA/dATgfkZtNMa9zGdANBav93MH/3ZtiLrK9k2tsL9Zfg6MqcvJqB/Oub1mdoek30haamavytd9sZd8Y4rflXR1VXX4J/4bIt8NMytEkUfke7P9qZlNlrRQvvHH0+S7oa90zi0KKN/Pv10Z5pKr/Nu+VX91aE1qcS+/IekV+f5SsdjM3pPvzXikpPGSnpBUPi7ezJIk5Ug65JzbFqIJoe5L7mXUSkPfz9U4X75fPuY65/YH7Od+hmeNdS+b2TmSLpPvd4qN1TSLexm10kj383HyDSM6RdJDCv7MlGdmNzjnngnYx/0MzxrpXuYzIBpFLe7n3ZI6SuohqeIcrWU9LPuX7WjOnwMJ1ZoJ59yjZrZe0jM62uNM8o0XfrZiF8oQfuDfPh2m/p1mNsZf/zk6msY6/zkV/6qR5t8eCHO9sv3p1bQLrYyXe9k558zsPEk/kXSffN1vy7wv6R/+7ullanNfci+j1hr4fg7JzHrI94txsXwTsQbifkatNPS9bGbtJf1R0lvOub/UoEncy6i1hryf/ZNap8rXS/hX/sfvJB2Sbw6exyX92czWO+fKevhwP6NWGvq9mc+AaEweM43X/WVmmNmFZfeuvzfwLf4y8WbWxvkW0mi2nwMZ/tlMmNnt8q1e8ax8aW6SfH91WCvpBTN7pIpz0yR9W76/VDwbpkx3SR/L15vtVPlusI6SfijpYkmf+z/I1bjJ/q2rshRaHS/3spklSHpJ0q2SrpPvnkyT7x7tJuljMzurFs3wcl9yLyOsxr6fzSxbvq7oZasezfHaZP+W+xlBGuFeflq++U+uUv3gXkZYDXw/Rwds/+Ocu905t9E5t9c591f5FpIx+RaaqXGT/VvuZwRp6PdmPgOiMXnMNH4iaYN8ozO+NLNHzexP8vVaK5VvAUYpeBqUmmj8z4F1WeWAR72tlDHJ/w/5SohjifItF1siqWeY86/zn//PKq7xob/MMSGO3eg/9mzAvtP8+/4Xpr7z/MdfaurvH4/m8/B6L0ua4S9/Q4jyQ/3H1gfsS/LvOxjm+u38x3cE7ONe5lGrR0PfzyHKZEtaEq4OfxnuZx6eH43w3nypQqwg5z/mFGL1T+5lHrV9NMZ7s6Qj/v0Xhzins//YvoB93M88PD8a6V7+UHwG5NEID6/3s39/lqTH5AvdCiXtkPQX+VbzLJW0P6Bss/0cSE+15qFsYslZFQ845w5Lmi9fr8LhYc4v+6vwH0MdNLMU+Va02Ouc+zpEkbLrjgzYt8K/DTe+uI9/G258Mlonr/dyVeW/krRXUreySYGdc3mStkhKNrOOIa4f6r7kXkZtNej9HMh/P38o31CO65xzj4dpE/czaqOh7+UR/u1zZuYCH/79OQH70v37uJdRW43x3lx2f+4Pcf19/m2bEOW5n+FFg97LfAZEI/OcaTjndjnnbnTO9XTOxTnn2v//9u411q6iCuD4fxVa2lAqpkQxJViJlmrkITTaoBKQUihqJNHET2IQAxrCQwQNH1CQhJpGJBiDRiUa0MRHCBofAREVjbwNiJaKQCCgLfIQQRqw0Cw/zFw5Hvc5vXML59zT/n/JZPfOnpk9bVZOz1539p7MPInynrUAbutpO2vvA02qzQ671WPn9vQ99Vv6T0TE2yi/mfhLZv56QP959bgoIuZ1nO8a/37gIWDZgCXBa+rxlx3ntPNqjeWB7XveadLbHl6MuWM7xu+KS2NZMzWKeCYi9gFuoLyM9WOZedmQORnPmomXO5ZvovxmuatAeYRj6ud/1zpjWTM1is/m6+vxzR3jT9U92FNnPGsmXu5Y9h5QozTjnEaHqUVD3+mrn533geNeJmhJKO9DS+ARYEnfuamtjp8FFnf0vbz2/eQ2rnF3bXdhX/18SjY5gXV9586t9T8A5vTUv6/Wr++tt1haYxm4rLb/BbBbX/u19dytffWH1fr7gFf21C+l7DDzHLC0r4+xbGkuI4rnfSn/4W8FTpzmvIxnS1MZRSwPuXbn45/1nLFsaS4j+mxeDjxfr7FPT/38Ok4C5/f1MZ4tTWVEsew9oGUkZQbxPAdY2DHOR+s4dwBz+87NyvvAqANqjCJiDnAtsAr4F3A1JRjfSFlGGcCZmXlpX79FwEbKi4GXZObjQ66xirIN8zzgFuBGyrL1NZQXW94HrMzMJ3r67EbJ2h4G3E75rd2+lJcJbgHelZm3bOdfXzuQ1liOiCXAzZT3kzwIXEP5sH078Nb656My86a+61xM2RXmr5SXYc4DPggsBk7LzC/3tTeW1WwU8RwRD1C+CPyesgtSl29l5oM9fYxnNRnVZ/OAayfwt8zcp+OcsaxmI/yucRZwMeWRuh8Cm4FjKI8R3QIcmWVHuqn2xrOajOh7hveAGokZxPNCyjvUrqPEIcA7KbF8P7Cq9/tvz3Vm333guDOalv9mSucCZ1I+KJ8GXgAepdxkrR7Q5+NsY4OCvvYHAldSlkBuoXzwrgcuAvYc0GcBcAFwL+WRjccoWd43jfvfzDI7S2ssU5YCfwHYQPntwhbKTjDfBJYPuc6HKc/Zb6Z8cN8AvGdIe2PZ0lxe7niun+HbKkd09DOeLU1lVJ/NHeMMXKlWzxvLluYywu8a76bcjD1V+90NnAcsGNDeeLY0lVHEMt4DWkZUWuK5tr2c8t6zzbXcRdkV9P9WsPX1nVX3ga5UkyRJkiRJkhq5UYEkSZIkSZLUyKSaJEmSJEmS1MikmiRJkiRJktTIpJokSZIkSZLUyKSaJEmSJEmS1MikmiRJkiRJktTIpJokSZIkSZLUyKSaJEmSJEmS1MikmiRJkiRJktTIpJokSZIkSZLUyKSaJEmSJEmS1MikmiRJkiRJktTIpJokSZIkSZLUaNdxT0CSJEmTISKOAg4Cbs7MG8c9H0mSpHGKzBz3HCRJkjTLRcQ64JyeqjMz89JxzUeSJGncfPxTkiRJQ0XEYuBs4FPAHsCFwNqImDvWiUmSJI2RK9UkSZI0VEQsBzYACzNzc0TsBTwGvDYzHxrv7CRJksbDlWqSJEkTKCJOjoiMiMcj4pKImPH3uoi4IiIejYjdBzS5B7gVODUiFgKnAo8AG/vGObTO6aSZzkWSJGlSuFJNkiRpAkXE0cBq4GRgEXBsZl47g3FWUBJmZ2fmF4e0Ow74af3xGeD4zLy+o93VwErgDZn5TOt8JEmSJoUr1SRJkiZQZl6XmecAn69VK2c41EXA08BXBjWIiAAumLo08ExXQq1aC+wNnD7D+UiSJE0Ek2qSJEmT7eZ6PKi1Y0QsA1YB38/MZ4c0PRFYAVwD3AXsHRGv6WqYmbcCfwZOiYhdWuckSZI0KUyqSZIkTbYH6vHAGfT9CBDA9wY1iIhFlNVsLwBnUZJqAG8ZMu53gX0pCTtJkqQdkkk1SZKkyXZePe5XNxFosQrYyour3QaN/2rgsszcAPyx1g9Lqv2uHo9unI8kSdLEMKkmSZI0oSJiNWW1GZQVZwc09N0dOBjYkJmbB7RZRnk32hPA+bV6OivVbqvHw6c7H0mSpEljUk2SJGkCRcQewNeBfwLfrtUtj4AuAXYBNg1pcwkwD/hsZj5Z66ZWqh0yqFNmPgU8R3kEVJIkaYdkUk2SJGkyraMkrc4AflbrWjYrWFyPT3adjIg1wHHAeuCrU/WZuZGycu11EbHnkPH/AezVMB9JkqSJYlJNkiRpwkTEkcApwE8y8wrgD/VUy0q1qd0+53eMP5eySg3gE5m5ta/J1Gq1g4eMv6DnGpIkSTsck2qSJEkTpL4L7RvAU5TEGsA9lATWARER0xzq0Xpc3HHudGD/+uefR0T2FuCIeq7zvWoRMQfYs+cakiRJO5xdxz0BSZIkNVkL7AecUB/FJDO3RsR6YAWwFHhgGuNsAh7jxeQZABHxKuAzwPPAlUB29F0KHMXg96rtT9k44c5pzEOSJGkimVSTJEmaEBHxDuBU4MeZeWXf6TspSbUDmUZSLTMzIn4DvD8iXp+Z99VTFwGLgHWZ+ekB81hB2eFz0A6gK+vxV9uahyRJ0qTy8U9JkqQJEBELgMv538c+e029V61ls4Kr6vGYeo1DgROBh4HPDen3J2ArsLzOq9/qev5HDXORJEmaKCbVJEmSJsOFwDLgjMzc1HH+znps2azgKuDvwAn150sp3w/PyMzNgzpl5nPAvcAu/deLiFcAx1M2UXi4YS6SJEkTJTK7XpMhSZKknUFEnEt55POQzLzjJRjvNOBLwOGZ+dvtHU+SJGm2MqkmSZK0E4uI+ZTdQ+/KzPdu51gLgPuBGzPzAy/F/CRJkmYrH/+UJEnaidVHOT8E3B4Ru2/ncEuBrwFnb++8JEmSZjtXqkmSJEmSJEmNXKkmSZIkSZIkNTKpJkmSJEmSJDUyqSZJkiRJkiQ1MqkmSZIkSZIkNTKpJkmSJEmSJDUyqSZJkiRJkiQ1MqkmSZIkSZIkNTKpJkmSJEmSJDUyqSZJkiRJkiQ1MqkmSZIkSZIkNTKpJkmSJEmSJDUyqSZJkiRJkiQ1MqkmSZIkSZIkNTKpJkmSJEmSJDX6DyEwHQVoBBInAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 280,
       "width": 618
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spectrum.plot(ylo=0);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46036758",
   "metadata": {},
   "source": [
    "Look at those conspicuous sharp spectral lines and the smooth dip near 10940 Angstroms.  Let's divide the spectrum by a tuned model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "04f445f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "from gollum.phoenix import PHOENIXSpectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "90bea2f1",
   "metadata": {},
   "outputs": [],
   "source": [
    "native_template = PHOENIXSpectrum(teff=9600, logg=5.0, download=True).normalize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "85fed9b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "doctored_template = native_template\\\n",
    "                        .rotationally_broaden(105.0)\\\n",
    "                        .rv_shift(-40.0)\\\n",
    "                        .resample(spectrum)\\\n",
    "                        .normalize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3a9d5b00",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 280,
       "width": 618
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = spectrum.plot(ylo=0, label='A0V Star');\n",
    "doctored_template.plot(ax=ax, label='Doctored A0V Template'); ax.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "479f7f32",
   "metadata": {},
   "outputs": [],
   "source": [
    "telluric_response = spectrum / doctored_template"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "787a982d",
   "metadata": {},
   "source": [
    "Normalize by the top 10th percentile, rather than the median..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "eab18091",
   "metadata": {},
   "outputs": [],
   "source": [
    "spectrum_peak = np.percentile(telluric_response.flux, 65)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ab227c02",
   "metadata": {},
   "outputs": [],
   "source": [
    "telluric_response = telluric_response.divide(spectrum_peak)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "eb430177",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 280,
       "width": 618
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = telluric_response.plot(ylo=0);\n",
    "ax.axhline(1.0, color='k', linestyle='dotted');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "278ffede",
   "metadata": {},
   "source": [
    "The continuum should all hover near $1.0$.  You can see that the spectrum has a slight downward curvature to it, with the blue-most values about $5\\%$ lower than $1.0$, and some red-end values exceeding $1.0$ by 2 percentage points.  \n",
    "\n",
    "Let's mask all the lines, fit a smooth function to the continuum, and then flatten by that function, evaluated at all wavelength points.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ba3fc67",
   "metadata": {},
   "source": [
    "## Masking the lines and fitting the continuum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "11b79f54",
   "metadata": {},
   "outputs": [],
   "source": [
    "import astropy.units as u\n",
    "from specutils import SpectralRegion\n",
    "from specutils.manipulation import extract_region\n",
    "from specutils.fitting import find_lines_derivative, fit_continuum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "418f0c79",
   "metadata": {},
   "outputs": [],
   "source": [
    "continuum_subtracted = telluric_response-1.0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7546799",
   "metadata": {},
   "source": [
    "Here we find all the absorption lines above some threshold."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ab812160",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lines = find_lines_derivative(continuum_subtracted, flux_threshold=0.05)\n",
    "lines = lines[lines['line_type'] == 'absorption']\n",
    "len(lines)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b7777e5e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 280,
       "width": 618
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = telluric_response.plot(ylo=0);\n",
    "ax.axhline(1.0, color='k', linestyle='dashed');\n",
    "\n",
    "for line in lines:\n",
    "    ax.axvline(line['line_center'].value, linestyle='dotted', color='k', alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d09b983",
   "metadata": {},
   "source": [
    "Neat, we see that we have found the most conspicuous lines.  Let's mask these lines with a $\\pm1\\;$A width. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "e671e482",
   "metadata": {},
   "outputs": [],
   "source": [
    "line_regions = SpectralRegion.from_line_list(lines, width=2.0*u.Angstrom)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "508c62b0",
   "metadata": {},
   "source": [
    "Fit the continuum while excluding the spectral lines."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "77eb206c",
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "continuum_model = fit_continuum(telluric_response, exclude_regions=line_regions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "dbee3c71",
   "metadata": {},
   "outputs": [],
   "source": [
    "continuum_fit = continuum_model(telluric_response.wavelength)\n",
    "continuum_spectrum = HPFSpectrum(flux=continuum_fit, \n",
    "                                 spectral_axis = telluric_response.wavelength)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "22c58143",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 280,
       "width": 618
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax=telluric_response.plot(ylo=0, label='Telluric response')\n",
    "ax.axhline(1.0, color='k', linestyle='dashed');\n",
    "continuum_spectrum.plot(ax=ax, label='Continuum fit');\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3177096e",
   "metadata": {},
   "source": [
    "Nice!  That looks OK.  You can see that we are fitting to weak telluric lines at 10910 A, which pulls down the fit from 10890.  So it's not perfect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "c082e229",
   "metadata": {},
   "outputs": [],
   "source": [
    "flattened_telluric = telluric_response/continuum_spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "3e52e9d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 280,
       "width": 618
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax=flattened_telluric.plot(ylo=0)\n",
    "ax.axhline(1.0, color='k', linestyle='dashed');"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a42698a",
   "metadata": {},
   "source": [
    "Hooray! We have flattened the continuum! :)  In practice this process takes some more fine-tuning of the model complexity, etc, and one may prefer a strategy of iteratively fitting and masking.  Ideally we would use the GP smoothing technique, which is possible."
   ]
  }
 ],
 "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": "3.8.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}