{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Final cosmology results\n",
    "This notebook samples the posterior distribution and makes the plotting of the results. The notebook requires the cosmology sampling built in lenstronomy and an additional less mentained package 'myplot', available on the github repo of Simon Birrer (sibirrer).\n",
    "If you want to overplot the Planck chains, you have to download them from the Planck website."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import numpy.testing as npt\n",
    "import pickle\n",
    "import corner\n",
    "from lenstronomy.Cosmo.lens_cosmo import LCDM\n",
    "from lenstronomy.Cosmo.cosmography import MCMCSampler\n",
    "import lenstronomy.Util.prob_density as prob_density\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import rc\n",
    "import matplotlib.patches as mpatches\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ====================================\n",
    "# LENS REDSHIFTS AND DEFAULT COSMOLOGY\n",
    "# ====================================\n",
    "\n",
    "# redshifts of lens and source of SDSS J1206\n",
    "z_d = 0.745\n",
    "z_s = 1.789\n",
    "# we initialise a general cosmology class able to compute the cosmological quantities \n",
    "\n",
    "cosmoProp = LCDM(z_lens=z_d, z_source=z_s)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reading in the actual samples\n",
    "make sure that the files containing the posteriors are in the same folder as the notebook\n",
    "or otherwise add the relative path when you read in the particles.\n",
    "\n",
    "available samples are:\n",
    "\n",
    "- 'final': THE FINAL sample of the BIC criteria with stochasticity accounted for.\n",
    "\n",
    "- 'marginalize_all': just take all the 128 samples, uniformly weight them and see what happens. This is NOT the best way to do it. All it says is that the subset of the 'final'  sample is included there.\n",
    "\n",
    "- 'final_power_law': This are the posteriors of the 'final' sample, but only the power-law lens models. If you believe in power-law models: Take this one! (not recommended)\n",
    "\n",
    "- 'final_composite': This are the posteriors of the 'final' sample, but only the composite lens models. If you believe in composite models: Take this one! (not recommended neither)\n",
    "\n",
    "- 'test': This is a sample I generated to make you use this notebook before the other options are available. Just for fun!\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(67570,) (67570,)\n",
      "the number of posteriors in the sample is 67570\n"
     ]
    }
   ],
   "source": [
    "sample_name = 'final'\n",
    "\n",
    "# we import posterior samples from the analysis\n",
    "# _option_2\n",
    "D_dt_samples = np.load(sample_name+'_D_dt.npy')\n",
    "D_d_samples = np.load(sample_name+'_D_d.npy')\n",
    "D_d_uniform_samples = np.random.uniform(low=0, high=5000, size=len(D_d_samples))\n",
    "D_dt_uniform_samples = np.random.uniform(low=0, high=200000, size=len(D_d_samples))\n",
    "D_d_uncorrelated_samples = np.random.permutation(D_d_samples)\n",
    "\n",
    "print(np.shape(D_d_uncorrelated_samples), np.shape(D_d_samples))\n",
    "print(\"the number of posteriors in the sample is %s\" % len(D_d_samples))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The actual sample on default values\n",
    "Now it's time to read in the real posteriors! We read in the actual posterior sample, but wait, to test whether also on the real sample everything works fine, we first median subtract the posteriors and then put them on our default cosmology - just to see whether everything works as expected. So we set blinded=True and only afterwards we set blinded=True "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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CtwHXzPkOb8UJincfpinz3meBc6/ECfQP5L9Dt5uHBu4qyEmnRaSy4HMXArvney///CGc3jPAq4Dfzvkuz/ucOm5Q1Vfg/AxvPcz3PGIWvAu4u+ccrxrvQrbKoJlLVbcCB3ACwLxEpBz4T+CHOH++34ITtBY6/458Wma+xx3H0Nz/A7xVRCIi0gpcjhNYNwAZVd1VcO5jFARcEakC/gG4/hjuM593Aj/QxW2B9VIR2S4iDwCtwL8t8B6q+gdgIP/+6cB/iEiziHxyoWvlj98rIncDaVW9fxFtOiJW510ktsqgWUAvz8+pFvojIAD8n3yQ+qmILBgEVfW1S9w+1/3AdTi54DLg+zi/VF7Kc/lh1zhQ2Dv9FPAvqnpgEf/+F7rPQUSkHSel8u75LqKq75rz+k7gzjmnzfeee/5H5rzVD/z9Ia7VD1w837WWivW8i8wGL80crczJqc7RAvTM6V2e0AGU/KDqXTj53ShQjzMgdxMwyXP5YVcVMJH/7GacFMQXj/E+c10DPKiq+478G5UmC95FVtgDtyC+sonIi3CC94OHOK0PaJWDu6xrDnHNO+epyHAf8/YyF6E2f8+v5gfrhoF/BV4N7AL8InJqwflnA0/mn18EdADdItIPfBi4UkQePcL7zPUOnF75oohIU77C5zcico+IrJJDTKwRkYtE5O78sTfNuVa1iGzN/0zPWOj6i23bYlnwzivmYlSdnZ3eTvUiYoF8hRGRKhF5LfBj4GZV3XGI0x8GMsCHRCQgIlcAL17oZFW9vLAiY87j8kO0yS8iIZxURZmIhNxgpqpDwD7gffnzYjj55sdVdQqnp/wPIhIVkQuAN+Dk6AG+hVMDvTn/+L/Af+EMBM5t+4L3mdPW83F+6d1yiJ/bXEPAS1X15cAPcNIt806sEZEwcANwuaperKo/n3OtJPAa4KeHuf6SsuCddzwXo1osN4jPDeQWzE9at4vIBLAfuBH4Z+DaQ31AVdM4QeVdOOmVP8UJlkvtYzhld/8beHv++ccKjl8B/DEQx6nKmAX+On/s/UAYp/Lj34H3qeqT+fYnVbXffeCkWVIFMxzdvxb+bhH3cb0T+JmqTiz2y6lqVlVz+ZeVOH8ZLDSx5rz8979dnPr15jnXmi1s/yGuv6RkcQOzpU9ErsMZ+ADYCDyzxLeox/ltWyzFvP9Ku3e7qjYc/jSznOXz798EYsArgbOAP1bVvxSRzwFtqnq1iFwFfARnsPhS4PWq+t55rvc94POq+sR811fVJR2bWDHB+3gTkW2qumUl3n+l3tssb/ke8o/nOfTWfK/fPe9PcGZDvg/4PHAOTk85rao3iMjlwKtV9YMiEgR+nV/nZO79vkdB8J57/fkC/rGwUkFjlhkRWYMzvXo+p6lq94lsT6nKB+iL5jsmzizLdP7lOJDMV/DckD/+CeCe/PFHgBvyg8Sbgb2Hu/d81z/Kr7EgC97GLDP54FxR7Hac5DaLyOeBLJAC/izfU/93IAfc7U6sUdUhEfk58BtAC859n6r+PYCI/DdOYN8oIt8Enpp7/aX+ApY2WSIicp2qfmsl3n+l3tuYYrLgbYwxJchKBY0xpgRZ8DbGmBK0Igcs6+vr9UgnveRyObLZLGVlZQDec5/PN+85Pp/vea/NyWH79u1Dh6rzPpp/X8a4Dvfvy7Uig3dHRwfbtm07os/kcjmSySSRSATAez43eBe+P/e1OTmIyCEnWxzNvy9jXIf79+VakcH7aPh8PioqnqveKny+0DlzX5uTV+EM3jVrFlwnypglY91BY5aAqn5LVbeo6paGBps5b44/C97GGFOCLHgbY0wJsuBtjDElyIK3McaUoJIM3vmdpIPFbocxxhRLyQXv/LZPNwN3ishrRWRdsdtkjDEnWknVeYvIWuBzwNU4u+FcDrxQRG5T1d8f5rNWh2uMOWmUWs+7Cjigqo+o6s04O0n7gdeJyCF3D7Y6XGPMyaSkgreqPgaMicgH86+3AbcBbcALitk2Y4w5kZZ98BaRi0TkT0TkmvxbPwDaReStAKr6CPAw8H4RCRSrncacSB0dHYgItgDWyrWsc94icjHwb8AXgKtE5Bzg20Ar8CIRaVXVLwDTwCQgRWusMSdQV1cXqoqzraJZiZZtzzu/2eflwD+p6ueBC4BVwDuAX+cfF4rI3cDHcXZtTi90PWOMOZks2+Cd38n5UZwNPZtUNQW8G1gPvFdV71TVNwLvBS48XLWJMcacTJZd8BaRNhEJikgYJ5ddCZwlImFVTQLvAl4mIm8CUNVnVXW4eC02xpgTb1kFbxF5DXAn8BXgu0Aa+Hfgf+GkSFblA/jd+WPGrGjt7e02aLlCLZsBSxFpBW4CPgA8DbwT2Ar8EfAN4O3583qAtwHfKU5LjVk+Ojs7bdByhVoWwTufIhkCHgB2AYOq+k8ikgEewgngvwdeBJwNXKKqu4rVXmOKxXrZxlX04C0ibwBeCXweqAWuVdXPAKjqP+cXoPoM8D5VvRW4tWiNNabIuroWtb2hWQGKmvMWkZfjpEpuU9V9wEeA60Tk+oLT/h3IYDluYwAnz93efsjVIMwKUOye9wuB76jqL0RkDVABfAz4uoikcAYmzwPOBWLAaLEa6u4EHwqFSCaTwHObENsO8eZE6uzsLHYTzDJQ7OCdAcrzz38M9AJ7gB04qZSNwPk4qZSiBW5wAnQikWBycpKJiQkAL1gnEglg/h3ljTHmeCh28L4X+KmIbAG+rar/KiIbgBzwO1W9VURqih24ASKRCAChUMh77v537nNjTqT29nZEhPb2duuVryBFDd6qukNEPgx8GafKBFXdJSKNQHX+tLFita+Qz+fzetZVVVUHHbMetykmN2BbyeDKUuyeNziTcv4e+ISIuEPpZwOfBW+avDHGmAJFD96qmgF+ICJPAG8Ggjg57j3FbZkxxixfRQ/eLlV9FGchKmOMMYdhtW3GGFOCLHgvQi6XY3Jyklwu572XyWTo7e1lZGSERCJBLpeb9zxjloK7c45NzjGuZZM2Wc7cGm94rrJkaGiIvXv34vP5aGhosJpvc1y5O+cY47LgvQjz1XXX19eTy+UIhUL4/X6r+TZF5y4Pa7XeK4MF70UorPF2+f1+Wlpanneu9bhNsdjysCuL5byNWeY6Ojos122ex3reR8gdlASnl+3mugsXrkqlUrZQlVkylu8287HgfYSSySQDAwPAwemUwoWr3GoTS6GsHCJyHXAdwJo1a4rcGrMSWNdwAQuV/UUiERoaGohGo/j9fvr7+0mn0+RyOSoqKqivr6eqquqgQUsrITz5qeq3VHWLqm5paGgodnPMCmA97wXMVx4ITm/b73d+bD09PYyPjzM1NUU4HKaqqgq/3/+8HvdC1zLGmKNlwXsB85UHzj1WX19PNBqltraWdDq9YIngoa5ljDFHw4L3AuYrD5zvWHNzMwDl5eXznnu4axljzNGwnPccc/PT7utMJuO9r6oLvr+YqgDLgRtjjpX1vOeYm592XycSCcbHx/H7/axdu5ZUKsXIyAhjY2PEYrGDAnFhCeFi7uFyyw2tzNCAU9/d1dV1RDXetqvOymHBe465+Wn3v+l0mqeeegq/309lZSX19fWMjY0xPT1NNBolk8mwc+dOampqaGtrO2SaZKEcuA1smkJHU99tu+qsHBa855ibn3ZfJxIJWltb8fv91NfXk0qliMViRKNR2tvbGRwcJJPJPG+dk8Xcw2UDm8aYxSrJ4C0iESCrqjPH4/rzpS8qKipobW0FnOAbiUS8VInP56O+vp7p6Wna2tqOOuVhA5vGmMUqucSqiFwB3AzcKSKvFZF1x3rNuQOIbvoimUx65/h8Pnw+H5OTkySTyee9TqfTBINBRkZGvOtkMhn6+/vJZDLH2kRjjoi7wqA5eZVUz1tE1gKfA64GNgKXAy8UkdtU9feH+eyC05fn5poL0xduztGtMIlEImQyGcbGxrwgHQqFAJiZmfF67RUVFQwNDdHb2ws8V1JozIlgKwye/EoqeANVwAFVfQR4RER2Am8AXiciI6ratdAHVfVbwLcAtmzZctAo0Nxcs5u+yOVyTE1NUV5ezv79+ykrKyObzZJOpxkeHgagrq6OTCbD0NAQgUCAmpoa0uk0vb29xGIxpqamqK2tBayaxBizdEoqeKvqYyIyJiIfVNWvqOo2cboX1wEvABYM3oeyUK45mUwyNjbGyMgIU1NTTE9P09HRgd/v93rbPp+PJ554gj179nDqqadSV1dHd3c3iUSCqqoqwuEwqVSK8vJyqyYxxiyZZR+8ReQioBEIquoPgR8ALxWRt6rqj1X1ERE5E3i/iNyjqrNLde9IJMLk5CRVVVUkk0mi0Siqytq1a718eC6Xo6+vj9raWtrb22lsbCQSiRCPx0mn00xNTTE5OUlFRQWhUIjJyUkv8BtjzNFa1sFbRC4G/g34AnCViJwDfBtoBV4kIq2q+gVgGpgEljzJFwqFyOVynHXWWfT19dHa2uoNUrolg2eddRYbNmygsbGRXC7H8PAwbW1tpNNpbyC0MNinUinreRtjjsmyDN7y3EjL5cA/qeoXReSrwL8C7wC+B6wD3iMirwZWAVeranop25FMJonH44CTHgmHw4yNjdHf38/k5CTT09PeaoJuXnvPnj3s3r0bgPXr13uzNG2PS2PMUlqWwVvzJR4ish24SESaVHVARN6NE7jfq6p/jVMueCowoqrDx3rfubvhhEIhmpqaACfguiWBIkImkyEcDgPOolSJRIJcLkd1dTUdHR3U1NSQy+W8mvD5dt8xxpijteyCt4i8EBhV1b3AbuDVwFki8qCqJkXkXcADIvImVf25qj67VPeeuxtOYfAVEXw+HwcOHOCpp55idHSU0dFRb92J4eFhnn76aTZu3EgoFGLv3r00NzfT0tJCMpmkr6+P6elp1q1bR1VV1aLaY9UpxpiFLKvgLSKvAr4GXAmgqttF5H+ADziHZYeq9onI3cCSpkjguXSG2/POZDL09PTg8/loamqioqKCjo4OysrKePbZZ6mqqiKTyTA+Pk5PTw9DQ0MEg0FisRijo6P4fD5isRiRSITKysojbo9Vp6xctumwOZxlE7zzg5NfBf4iXxIYVdUpVf26iAwDb8+f1wO8DfjOUrehsGTQXc9kdHSURCLh9Zp9Ph/V1dWsWbOGxsZGZmZmOHDgALlcjnXr1lFZWUk6nWb16tWsWbPGWzK2sbHxedujHY6tdbJyLcWmw7bC4Mlt2QRv4JXAY8DvRGQN8HERSQOjwOeBB4EtwNnAJaq663g0ojBVEYlEWL16NaOjo6TTaa/eu6enh9raWi/Qqyqjo6OEw2EveAPeZJ750iWLSYnYWifmWNgKgye3ogdvEbkQqAU+AXwK+BLwMuCbQC9wJvAZ4HpVvRW49Xi2pzBVAc6U93g8zsDAAMPDw0QiEVKpFKlUirGxMXbs2EFZWRkHDhwgEAh4qw1ms1lyuRzhcJiJiQkSiYT3WXfw01IixpijVbTgLSI+IAL8XyAAhIGP4axd8g1V/VL+vD7gHcdrBcG53NUC3XVMmpqaqK6uZufOnczOzh5Uu93Z2UkgEKCjo4MLL7yQeDxOLpdjfHzcW8vE7/fj9/uZmJhgZmaGYDDo3afwvy4bpDTGLEbRgreq5oBJEfk+kAVeB0RU9XoRCRac2g60iEiFqk4e73a5qwW6veLC3eLHx8fZu3cva9as4cCBA8Tjcdra2ohEIlRXV7Nhwwbi8TiJRIJwOOwF4I6ODpLJ5EHrfR9qSr71yI0xh1P0tAmQAdYA3wX+QkROx6kk+VsR+SucSTnXnIjA7XKnsedyORKJBENDQ0xMTPDUU0+xe/duhoeHOe2005icnMTv9/PMM88QCARIJBKsX7+e6upqb3LPzMwMa9asIRQKMTw8THNz8yF71DZIaYxZjOXwd/mtQL+q3g08ArwPZ/VAcAYn36GqT57IBiWTSSYmJgAn7VFRUYGIUFtbSzAYpKysDBHhlFNOIRKJEA6H6e/v54EHHuAXv/gFU1NT3uDk5OQkw8PDdHd3MzAwwNDQ0PM2Lobn1hQHm8hjjDm85dDzngY2ishfAO/FyXm/RET+BHh3Pr1SFO4OOf39/QwPD5NIJDj99NNZu3aMBKIsAAAgAElEQVQttbW19PT0oKpeGeDg4CC1tbXU19cTiUSoqKhgdnaWVatWMTIyQjgcJhQKHTQRCA7e6Nh9bYwxh3LY4C0i5x7quKo+eiwNUNVeEdkPfBz4S1W9XUReATx7IgN34UBhYfBMJpOUlZURjUbZvHkzIyMj3uzKwcFB2tvbGR4e5plnnqG2tpbNmzfj9/tJpVLs3bvX26AhGAwyM+OMufp8Pmpra0mn0/NueGyDlmYpubvqWK33yWUxPe8v5P8bwqmzfgxn9b6zgG3AeUvQjm8Dt6rq9vzr+050j9vt+bpT4gGvJzw9Pc3MzAwDAwM8/vjj5HI5amtrqamp8YL0448/jt/vZ3p6mmw2y+joKKqKiNDY2Ijf78fn85FKpQCnBtz9JTE3WE9OTlov3CwZ21Xn5HTY4K2qFwOIyM+Ac1V1R/71GTi12cdMVfcD+0VE1HHCUyVuzzeTyTAwMEBDQwN+v5/x8XGmpqbYs2ePN9uysrKSyspKksmkl8dubm4ml8sxMjLC1q1byWQydHR0sH79em+6fWVlJfX19Qf1uOHQ27DNx3rmxpgjyXlvdAM3gKo+ISKblrIxeqzzgY+BW7rn9r7dDRTKy8sZGxtj1apVBAIBACorKxkcHMTv95PNZpmYmKCuru6g17Ozs/h8Pvr6+ti+fTs+n4+NGzcyOztLe3v7QUF3oW3YFmL5cWPMkQTvx0XkOzg7t4OzCfDjS9+k4nEHECsrKxkeHuapp56iqamJ7u5u+vv7ve3NVJXZ2VnKy8tpa2tjeHiYTCbD6Oio977by66trWVsbIxYLObtcxmNRg/akLgwWC+mV23lhOZIWd775HMkwftanDK+/5V/fT/wjSVvURElk0mvxz04OMjg4CBdXV309PTQ29vL0NAQU1NTRKNR/H4/dXV1pFIpksnkQfnu8vJypqamGB4epqWlxdvLsnC3eff53EC9mF61rXly8uro6KCrq2vJVxS0vPfJZ9HBW1VTwBfzj+cRkf9Q1SuXqmEnytyFqHK5HJlMxls5cHx8nP3799Pe3k4ul2N2dpZkMklTUxPj4+NUVVVRV1dHWVkZiUSCUChERUUFbW1t1NbWsmHDBgYHB2ltbSUUClFXV+cFe+CgQVK3DfDcRCH39cmU47ac/cKWYjVBszIsZZ33uiW81gkzt6fr8/no7u5mcHCQ+vp6fD4fa9euJZ1Ok0gk2L17N7lcjqGhIfr6+giFQpxyyimUlZXR1NREMpmkvLycWCzGmWeeSW1tLZWVldTV1Xk9evcXhBuYCxfCKgzW7qSdwnNOhh635eyNOXZLGbxLsrswt746l8uxevVqbyZlIpEgkUgwNTVFMpmkpqaGRCLB4OAgY2Nj1NfXk8vlvDVN3N5zNptldnaWPXv2AM66KJWVlXR1dREKhaiqqqKxsZGpqSlyuRyVlZXeQKmbupm7/vfJkuM+GXP2InIdcB3AmjVritwasxIshxmWReWmK5LJ5EFT1Kenp3nyySd56KGH6O3t9apH+vv7ERHGx8eZmZkhnU57td8i4m1G/Pvf/55du3Z5qZKzzz6bzZs3exsVB4PB500Imhu0C1MKJ1MP9WTM2avqt4BvAWzZsqUkOzKmtCxl8C7Z0RD3z/iKigoqKioYGxvzdoffv38/IyMjzM7OMjo6CkBZWRmjo6OkUinKysqYnZ31Pjs9PU0gECCdTjM4OMjExATr1q2jsbGRc889l+bmZvr7+6msrKSqqgqfz3dQaaIb1Ao3QrbcsDFmriMK3iLSAKCq8XkOf3RJWlQEhYODqVSK6elpKioqmJycZGRkhMnJSWZnZ72KkvLycqqrq5mdnSUYDHppkJGREXw+Hzt37iQWi3lrf+/evZv169czNDRENBolmUx6S8/Cc/ltN5gnEgn6+vrw+XxelYr7F4IFcWMMLGJVQXF8QkSGgGeAXSISF5H/r/A8Vf3l8Wrk8eZuNjw0NEQoFKKhoYFoNEptbS2hUMhLb4RCIW9dbnc3eXeDBnezBYCpqSkmJibIZrPMzMyQyWTIZDLs3LmTsbExWltbqa+v9/LpbvB3F61yc+zu+t/gDFgmk8li/piMMcvIYnrefw1cALxIVfcBiMg64Bsi8teqOm/pYCmJRCJMTk6STqcZGhoik8nw7LPPEo/HWbt2LeXl5agqBw4coK+vzwvIgUAAv99PeXk5ZWVlhEIhQqEQsViMXC5Hc3MzoVCIlpYW6urqGBoaYvXq1VRXV7Nnzx7i8TgNDQ20tbV5Pf2BgQEymQyVlZU0NDR4S8u6Pe9CVnJnzMq1mOB9DXCZqg65b6jqXhF5O/BLFqj7LiXu0q9dXV3kcjlmZmaYnp5mYGCA8vJycrkcu3fvpre315v67vf7mZ2dZXx83LtOOp2moaGB/v5+MpkM6XSaWCxGWVkZ6XSa6upqwuEwu3btoq+vj3Q6TVNT00HVF01NTV7PuzC1YrvuGGMKLSZ4BwoDt0tV4yISOA5tOuFyuRyDg4NevjubzRIOh6mqqiKRSLBr1y4mJiYIBoNUVlYSi8VQVRKJBFVVVczOzpLNZslms1RVVVFVVcXQ0BAbNmygra2NpqYmgsGgt4tOQ0MD1dXVTE9P09TU5AVon8/n9bSnp6cP2+75JvRYD9yYlWExwTt9lMdKRjKZZHx8nL6+PlSV3bt3U1NTQzweZ8+ePQwPDxMMBr3AGAgEvIk2ZWVlgFOBEgwGUVUmJiaorq5mYmKCsbEx0uk05eXljI6OEovFaG9v58UvfrE3UWdu4I1EIlRWVnrBeaH0iFtydyKWkLUUTelrb29HRGhvb7c1Tk4CiwneZ4tIYp73BWeN75LnbiCcy+Xo6upiZmaGvXv3MjExQTQa9Ur/RkZGvIWpwKnLVlX8fj+q6lWluJstTE5OMjY2RltbG2VlZd4My2g0yujoKNFolJGREW9ykJvXTqVS5HI5UqnUonbZORGTXixFU/rcgG1rnJwcFrOed9mJaMiREJEyAFXNLtU13YCkqkxPT9PZ2UlDQwM+n4/9+/d763G725q5C0s1NjYiImSzTlPcdb7Ly8uJRqP4fD5vIDMYDBKLxbxzAoEAFRUVpNNpr9a7cGu0xe6ycyImvZyMsyKNKWUlN8NSRN4EvBGIicg/Ak+q6sSxXDOZTDI2NsbMzAy1tbVeGaC7e048HqesrIyqqipmZmYIBAL09/d7y7u6C1YVVp5MT0+TyWTIZrPkcjnOOeccGhsbCYfDHDhwgN7eXtavX+8tbOVO0HEDeCwWOyg4zzcL9ET2gE/GWZErlS0Pe3IoqeAtIqcB/wT8ObAZ+DvgdhG5U1UPHOazz1t7wu3FhkIhZmZm6OnpYXR0lEcffZQdO3bQ09PjBdOxsTEmJiYYHx/nscceY3Z2lksvvZSdO3fi8/nIZDJMTU2hqmSzWZLJJMFgkEwm4/W6q6uraWxspKenh1gsRk1NDRUVFVRWVnqBe2JiYt58d+EszLlrnsxl+WlzKLY87MmhpII30ATsVtXfAL8RkZ3AnwAqIv8GTC+0G898a0+4eVx3Ek0ymWR2dpbJyUn8fj9lZWXexgruZJ3R0VGuv/561qxZw1/91V9x7rnn0t3d7aVVmpqamJmZYXBwkKqqKqampkgkEmzfvp0dO3awatUqGhsbqampoaysjJqaGhobG0kmk6RSKbq6utiwYYPXbvevArfn6658eCgnMj9tvyiWTkdHx5Kv421OXqUWvH8LTIrI61X1NlX9Rb4H8VfAH1R125FcrHBJ1ng8jt/vJ51OEwqF2LRpE7FYjO7ubm/p12g0SiwW46abbuK8887jjDPOIJvNsmrVKn70ox9x6aWXUlZWhs/n8wY1w+GwN/nHDdhVVVW0t7ejqmQyGXp7e9m/fz/PPPMMIkIkEqG+vt7LeycSCa+efDE77pzI/LQNZC4dW8vbHIllH7xF5AIgDKCqvxaRB4DzRSSuqg/nA/iZwAdF5Noj2bzY7c26O9u4094ff/xxNm7cSFVVFf39/UxOTlJfX09NTQ1jY2MAPPzwwwSDQdra2mhpaeG9730vgUDAm43p5r8Lp9O3tLR4dd3d3d2Ew2FUlXQ6zdatW4nH42zcuJEXvOAFBwXeTCbD/v37yeVyVFVVHbYC5UTmp20g05jiWNbBW0ReCXwH+DHw8vzrz+IsgvUGEVmtqrcAI0CSo1xT3F3Z7+mnn+axxx5jeHiY7du3k81m2b9/P2NjY1x00UV8//vf56abbmLt2rVs2rSJ/fv38+pXv5rdu3d7PeZUKkU4HGZ6ehoRIZlMkk6nqaioIJVKsW/fPjKZDJOTk5xxxhlEo1EqKyu56KKL2LlzJ5s2bfIWtIpEIgwNDXkbOJSXl89bgVJMNpBZmqzmu/Qt2+CdLwe8Gvikqv6LiESBXwMfwQngVwNX5Qci24C3Hu3u88lkks7OTp5++mkqKipYtWoV+/fv99bujkQi/OhHP+I973kPH/zgB70FqNavX89PfvITnnjiCVKpFL/85S/Zs2cPLS0t5HI5GhoamJqaYmBggOrqarLZLIlEglQqxdTUFA0NDVRWVjI0NERtbS2nnXYasViMiYkJJiYm8Pv9BAIBmpubaWlpobGx8YSWB5qTl9V8l75lF7xFRNSRFZGtQK2IhFR1SkQuA+4B/Kr6URH5NvBCoFtV+4/2npFIhNWrVzMwMMDMzAxPPPEE+/btY3Z21ttNB+Daa69lZmaGVCqFiCAivPzlL+eSSy5BRHjXu97FhRdeSG9vr7cuSSgUIhwOk0wm6e7uJhqNeps5dHV1cfrpp9Pc3Exvby/d3d1s2rSJ6upqr3olGAx6qZK5ue3Cahl3xcFDnWeDiscuX4dvP0RTdMsueAONwED++Q7gRuA24BlVnRSRS4E7ReQ8VX0Y2LoUN3WXdv3d737H9u3bvV53LpdjamqKD33oQ2zYsIFAIOANKvn9fnK5HIFAAJ/Px/r167nrrrt47Wtfy+rVq+np6fE+n0qlvE2I3cA8MjLCgQMHqK+vZ2Jiwsu9j46OetuuFSpc09tdj8VdNnZ8fJzp6WnWrVvn5cTdc5fDoOLJ8gsk/7/Jspu4ZlaeZRW8ReS1wI0i8gTQB3we+DnwAxF5J9ClqgkReYol7P24mx+UlZXR0NBALBZjbGzsoJH/K6+8klQqBTjrdRdO5HFnV4ZCIdatW8fmzZvZu3cvq1ev9qpJotEo0WiUpqYmb5/MWCzGyMgI4+PjjI6O0tjYCEB3dzd79uwhGAwCzqzNwtmXkUjEW0hrdnaWuro6wuGwtx+mW144OTlJY2PjssiPL4dfIEsh/zNcspm9xhytZRO8RWQ98GXgz3D+z3Ex8N/A63AGIv8Z+B8RyQGXAJ9bqntPTk4Sj8fp7++nt7eXdDpNNBoFoK+vj9raWs4880wymYxXBuimTdzeOeCtUXL22Wfzi1/8wltRMJPJoKqMj4/T2dlJOBwmGo0yMDBAWVkZdXV17s8AcKbo+3w+RIRgMMjg4KA3ycedrJPJZJidnWViYsLbwNjdpaexsdErexwcHKSxsZGKigrvs8Xo/S6HXyBLIf9zW3RFkzHHy7IJ3sAw8EtVvU+cKPYgkAFuBV4LPA68ANgCvEZV9yzVjUOhkLfbe1dXF/39/SQSCdLpND6fj8suu4xgMEgul+OJJ55g48aN+Hw+b3XBbDaLz+ejvLwcn8/Hxz72Maampvja177Gueeey5NPPumlV7LZLMFgkGg0SkVFBYFAwFvQKplMejvXr1q1inA4zPj4OIFAgHA4TE1NjTfLMhaLeQG5srLSG8zMZDKkUikaGxsZHBw8KIDP7ZGfyABuA6zGLK2iJx9F5HQReTnO7MlzReTD+QFLxeld3wv8Zb6m+1+BD6jq00vZhnQ6TX19PfX19axfv56mpiZU1asEedvb3sbU1BQf/vCHeelLX8pb3vIWRkdHue222zj11FOpr6/nlFNOYc+ePUxPT6OqfP7zn+fTn/40t956K+Xl5TQ0NBCJRIhGozQ3N1NZWcnU1BR79+5l9+7dXilgRUUFq1evZvXq1d7+mdXV1axZs4b6+npv8NKdJt/a2kpzczN+v5/6+nr8fj+hUAifz0djYyPl5eXe7NFIJILf7/dem+Who6PDK9szZrGK2vMWkcuBm4BOIA78b+ArIpJS1a+qak5EHsJZiAqAoy0HLFS4BCvg9VJ7e3u9WZCAtw73JZdcQjKZ5JFHHgHgvvvu42//9m+5//77GRpy9qmYmZkhEol4mzIAbNmypfC7MjMzg9/vJxKJeJUkk5OThMNh2traWL9+PbW1tdTW1tLU1ERFRQWJRMIboHTTOW56ZW5vdu5Ssm4ALxwoLHxtlodizqy0RapKV9GCt4hcBHwJeLuqbhWR24EJnG3XbhERH/AVYBWwQUQqj3X1QJe7cJQb+Px+P2vWrGFgYIC7776b3t5eEokEmzZtorGxkVAoxJ49e9izZw9XX301e/fu5ZZbbvGu19jYyJ133klzc7MXoMvKyti2zZmtPzs7SzweJ5VKHbQW+KZNm6ioqOC0007jlFNOIZvNesE9lUqxfv16du7cyfT0tFei2NPT4w2qLmZa/NwAb+kLU8gWqSpdxex5DwDvyQfuZpx67Y8DTwA/Aa4CzgAuBP5kqQI3OLveFAY4VSWXy/Hss8+SzWaprq4mHo/z6KOP8sUvfpF0Os0NN9yA3+/n2muvJRqNkkqlCAaDfPSjH+Wxxx7j4x//OA888AB/8zd/w5//+Z8fFFgrKiqora0lkUgQCAS8ChGAeDzO5OQkIyMj3o4+jz/+OC0tLUSjUaqqqohGo9TU1LBt2zYOHDjAhg0b2Lx580GDkO59CgPz8S7PO1nK/4wpRUX7f5yqPq2q9+Zfvhv4uqq+HtgLRIF3AB8CLlTVHUt578KNffNtobu7m8HBQfr6+g4695JLLmF6eprf/va3XHbZZdTW1jIxMeHlxK+66ipaW1t58MEHyWazfO5zn6O/vx9V5ZWvfCV+v99bHjYcDlNWVsbAwACRSIRYLObNuhwZGSGTyfDwww9zzz33cN999zE4OOiVBLprqpSXl9Pa2uptzOC2eWBggMnJyYNKCt3yvOOV3z7e1zfGLGxZVJuo6mcKnn9HRO4CqlQ1BaSOxz3dkjlw6qqfeeYZxsfHGR4exufzeXnvrVu3csYZZzA9Pc2GDRvIZrOMj4/j8/mIRqOsXbuWL33pS6gqqVSKN7/5zXzyk5/khz/8IevWrePd73433/nOd/D5fF6Oe3h4mIGBATo6Oqirq/PWMqmqqqKlpcXbnGHfvn3MzMwgIqxevRqA+vp6AoGAtxKiuyGEmxcv7IUf7/K85Vr+Z38RmJWg6MHbnQ5f8PpKoAHoOV73zOVy3oQRgF27dvHUU08xMDBAIpHwcswAX/7yl7nxxhsBOOOMM7yVBd36bHe3nHA4TEtLC9dccw3f/e53efrpp9m0aRPvf//7+eY3v0lnZyeBQMDbFT4ajaKq3lT4ffv24ff7qa2tJRQKEYvFvFrzqqoqOjo68Pl8pFIpIpEIe/fuZXBwkPXr1xOLxYjH40QikYM2apib317qoLZc8+cny4QgYw6l6MHbDdwiEgTeDlwP/OmxrFVyOD6f76Agt3nzZkZHR3nyySe9cr7h4WGam5v5yEc+wrPPPgs4KYuBgQEOHHA27ZmdnWVsbMwbZIxEIqxfvx6AiYkJvv3tb3P99dcD0NbW5k19n56eJhgMkkgkvA0ZhoaGCAaDpNNpAoEA69ev59RTTyUUCpFOp6mqqiKdThOLxQBnkNTdRGJkZISBgQGvx+7+cnIratzKk5US1JbrXwTGLKWiB+8COZwp8Veo6jPH+2aFwSsUClFRUUFrayt9fX0kEglmZ2f5+te/zkte8hLe8IY3sGrVKrLZLGNjY3zjG9+gv7+fM888kze+8Y3U1NR4k2NaWlrw+/185CMf4UUvepF3j5aWFnp7e70APTAw4A16ugtYjYyMsHHjRsrLyykvL/dmZBYuUjUwMEB7ezstLS3e1m1uieDw8DCxWIxkMsnAwABTU1NeSsVdt3xycpJQKHS8f7xFYymTo9fR0QFgZYMlYtn861bVWVX97xMRuOfKZDKMjY0xPDzM2NiYV7tdVlbG/v372bZtG295y1sIh8Ns3bqVrVu3Mjg4yH/913/R1dXl7UVZUVHB5s2bufHGG3n00UfZsmULPT093HTTTdx1113s2bOHiYkJEokEw8PDXkmiu0iVu7NOOBzm6aef5uGHH2bnzp309vZSWVnJ2NgYIyMjDA0N4fP5aGtrY9WqVZx11lk0NzcTCAS8wNXU1ERHRwdNTU1eD7SwDvxozN3hfjmyQdQj567tDU7NuSkNyyZ4F1MymWRkZAQRIRQKcd5551FfX8+WLVvYvn074Gxa3N/fzy9/+UsqKiq44YYbqKio4I477vDW/h4aGiIejzM1NQXA2rVrCQQCfOhDH2LVqlVeyaC7H2ZlZSXhcPiggOj3++nq6uKZZ57hmWee8ZamHR0dJRAIUFFRQTqd9oJ4OBwGnIFM97pu79Odhen2QCORiJdWOZoAXAqBcW7e3xxeZ2cnqmo97hKznNImJ5wb5NxNht0csruNmc/nY2LCKS+///77efzxx+nq6uLFL34x2WyWzZs38+CDD3LzzTdTVVXF+973Pqanp6mpqQHgpz/9KaeffjrgpE3ACYAi4u0y7/f7aW1t9db8dgdNGxoaWL16NX6/n7q6Oi8F4vf76e7uxufzUVdX522ODM/tCNTV1cXo6CgAzc3N3vd1SyTdWZtuIF9smqEUcsnLdRDVmKW2ooO325N067bLyspIpVLce++9TExMMD4+Tnl5OQC/+tWvSKVSXHbZZZx//vlUVFTw+te/ngcffJBf//rXAFxxxRU0Nzfzmte8hh07dvDNb36TD3zgA9TX13PFFVdw4403Ul9fTyqVIh6PU1VVRTAYpLe31+shx2IxMpkM4PT2V69ezdTUFLOzs16Nt7vIVXl5OaFQiL6+PmZmZqitrWVycpJ0Ok11dTX19fXP+85zA/CRDGJaYFxYfken68D5382Y421Fp03cP7Grq6u9Hm8oFGJ6epqrrrqK+vp67r//fmpra/H7/Zx11llccsklDA0N0dPjVDJed9113vU+8YlP8MADD9DX18c73vEOVJVbbrmFdDrNq171KsCpWAkGg8RiMaqrq0kmk/T29nqTcdwA7q6R4i4PGwwGqampYXBwkHg8zsjICNPT0ySTSXp6erx8fSgUwu/309TUhN/v/G4uzFUX9rj7+/spLy+nqqrKG8ycm04phTz3cqCq31LVLaq6paGhodjNMSvAig7e7s40vb299Pf3s2/fPuLxOGVlZdx0001ks1lGRkZYtWoVq1evpquri97eXkZGRhgdHfWC3+bNmwkGg3R2dvLrX/+a2dlZ2tra2LBhA3fccYe3nyU466qUlZV5y8kODw8zMTFBLBajqamJ/fv3Mzw87OWvM5kMoVCI+vp6uru76ezsZHJyksrKSm8n+oGBAXK5HGVlZfh8Pi+/7gbeyclJL1ftvucuxDUyMuJtjjxfPrsU8tylrKOjw1YTNEdlRQdvcIJTIBAgFAp5Aay2tpbm5maCwSBTU1PeetlTU1N0dHRQWVnp9W4DgQBXXnkln/70p7ngggvYtm0bgUCA2tpaLr74Yv7whz8wMzNDOBwmGAzyspe9jFQqxfj4OPF4nGQyyfT0NOXl5Zxyyin4fD4vpVJZWcns7KxXEphMJqmrq+O0006jrq6OyclJdu3axa5duxgYGGB2dnbBum53EM99LxKJ0Nzc7G29Nt9AnzuwWThb0yytrq4uGyg0R2XFBm83FRCJRKirq+Occ86hoaGBmpoa+vr66O7upr+/nx07dtDR0cFvf/tbWltb+dSnPsXtt9/OAw88wF133cXw8DB9fX309fVx/vnnk81m+cpXvkI8HucFL3gB2WyW+++/H4Drr7+eW265hUAgQE1NDZWVldTU1BCJRBgfHycSiVBfX09ZWRk9PT10d3fz4IMPcv/993PnnXd664X7fD6efPJJ7r33Xvx+P5s3b+bFL37xQVuegZOicX8xuNwg7T6SyeSCvepkMulNt3d77caY5WFFBu9sNktfXx9jY2McOHCAvr4+9u3bh6rS2trK2rVraWho4Mtf/jLpdNrbi3JmZobR0VHGx8fZtWsX9957L7/61a+Ix+NMT09TXV3tBf+ZmRkqKysBGBsbI5vNcsMNNwB4PWS3yiUWi3mTd2pra70dfdyBUxEhGo0SDoe93XIOHDhAT08P6XSa8847j8bGRsbHx9m3bx+ZTIZcLsf+/fsZHR2lp6eHsbExBgcHged2mC/sbc+XHnGPA5Y6WSHc9b3N8reiq02Gh4d56qmn2LFjB08++SSJRIIDBw5w5ZVXIiI88sgjNDU10dvbCzjLt9bW1nLGGWcwOztLT08PXV1djI+PU1NTQzKZJBaLsWvXLiYmJpidnQW8fQ+5/fbbAbzctLujjaqSTCbp6upieHiY2dlZpqamvF1yXvGKV6Cq1NXV/f/tnXmYXGWV8H+nu7qreqvq7lRXp5d0ujtkIQQSMYEssjhmMUpkE4ysA4gLMIrigp+OI6Iji5/KCOowyKLgwveNSoZP5MPwCA4QWSJmwwSySdLd6fSSXqu7uqrP/PHee6202dNV1dV5f8/TT+reulXn5NZ9zz33vOc9h9LSUvbs2YPP52PixIlUVlYSDofp7u5my5Yt+Hw+r5RsXl4eoVCIUChEZ2cnfr9/vzrmydkjh6oF7k502tDJ+MfW984eTkjPOzc3l6qqKiZPnsw73vEOli9fzpQpU+jt7WXevHmsW7eOvLw8Zs6cSTQaZevWrV4K34wZM9i2bRvxeNzzUFwPur6+ngULFtDX18emTZsoLy8HTOy4oGA9geIAACAASURBVKCA7373u5x22mkAdHR0eJ3jo9Eo8Xic3bt3s2vXLjo7O5kwYQKTJk3ipJNOYsuWLcTjcc/77e3txe/3U1dXh8/nY2BggIGBAa/pcDwe95bYV1RUeJOibg2WA5EcKz+a98CsUG1pafFSHC3jg/r6euuFj2FOaM/b5/NRW1vrdYQvLi5mw4YNJBIJYrEYf/3rXykuLmZoaMjrgNPa2up1bhcRfD4fTz75pFcV0K0E+Nprr3HBBRdQWFjIc889x9KlS71Qhts8uK+vj1gsRmFhISJCc3OzN9l5yimnMG/ePDZs2OCFZCorKz1jP3HiRMrKyrzl74FAgGnTpnnvd3R0eB6zG745lAE+Htra2rynk+RFQZbsxi6VH9uckJ63W3XPnaxraWnxGijk5+d7OdQ+n8/rTZn8Wbd4VW9vr+flbty40fscGG9cRIhEIrS1tfHKK69QVVVFbm4uw8PDiIiXx+12r3dXX1ZVVVFRUcEbb7zBG2+84aUS5uTkEI1GKS4upqyszFsd6dYrcQtWVVZW7uf1RyIRampqRn2BjZt2WF5eTnV19QEXBVmyD7fWiU1hHNuckJ73yJKwkUiEoqIiurq6vKJNPT09nH766TzzzDPepF1ubi65ubksXbqURCLBnj17ANOoGMxEqGu8ly1bRiQSobm5mRUrVnDllVdSWVlJe3s7BQUFxGIx+vv7KSgooKuri8rKSoaHhykrK6OxsZFoNMqWLVu8ErG7d+9m+vTpFBQUePndO3bsoKenx4ufDw4O4vf7vfBJX18fPT09DAwMEIlERt3rdic5g8Hgfh63reyX3SSnLtr499jlhBxZqrrfisPS0lImTpxISUkJ8+fPp6SkhIqKCjZu3EhJSQnFxcX09vYSiUR46623aG1tpa+vj+LiYiorK70a252dnV6dkTVr1vDcc88xODjIggULWL9+Peeddx5gGjGUlpZ6nxMRotEohYWFXtbJtm3b6OzspLCwkMbGRpqamli7di0tLS3e/kgkQkVFBYFAgJycHPLy8gCTGeLGu3NycrwbxZFwNCsqD1YEqre3l+bmZi/N0GKxjD4npPGOx+M0NTXR1tbmLUSZMGGCF8P2+XyICKWlpQwMDFBSUkIikWDmzJn4/X7WrVvnLVPfs2eP11mnsbGRlhbTQ6KystIzXieddBIlJSVecSrAm1AEvFBKIpGgp6eHnp4eQqEQEyZMwO/309ra6rVmGxoaIjc3l7a2Nvr6+hgYGPC8XPf7Wlpa6OjowOfzUVBQQH5+/hFnioxMGTyUMT/cRKZdWm+xpI6sM94iMkNEzhIRv4j4nH1H9WznptkFAgG6u7vZtm2bF6N+9tln6erqYmhoiPPPP5+hoSESiQRgYoEXXnghw8PDbNu2ja1bt9LQ0MCll17K1VdfzaxZs7yONitXrvQeOYuLi/H7/WzZsgWAvr4+9u3bR1dXF4ODg151wf7+fs94B4NBL2f81VdfZd++fV6t746ODi+rxF0BCSbUEwgECIVCXulZwDvuSBjpTR8o//twRrm4uJiqqiqvgqHNDz8w2bA03o1/26yTsUdWxbxF5CLgDmA70A68KiIPq2rHyF6YB/jsflXfgsGg1yqsq6uL1tZWKioqaGlpYcmSJfj9fhoaGgA847N27Vpef/31/b53+vTp3oTj7bffzrZt27wO808//TSNjY1UVVXx4osv8qMf/YhwOOyVee3t7aWjo4NAIEA8Hsfn85Gbm0t1dTX5+fmEQiGqq6u90EkwGKSjo8PTJxQKAX8rBdvX1+ctw+/o6KCwsJC2tjZ6e3u9G9bhGFk58ED534erRGjzw4+MnTt3cohLdkzgxr9t7HvskTXG2/GyLwauU9U/iMgFwHzg8yJyl6p2HOrzqno/cD/A3Llz1TUobvuy/v5+ysvLqaio8DrpuN1p3FiyWyMbTNhj9uzZlJWV4fP52LRpE9u3b2fq1KnMnj2boaEh/vKXv7BixQpEhLfeeguAmpoa2tvbGR4eJhaLeTHpRCJBZWUloVDIi18Hg0EmTZpEbm4uNTU1RCIRwMTM3WJSbvOFkfvdnOv6+nr6+/uPORPkQGVgj7Suty0ha7Gkjqwx3oAAIeBU4A+q+msR2QusAC4Tke+r6hEHV904MUBtbS39/f0MDg7S19fHCy+8wLPPPsv8+fOpra2lqanJM+pLliwhFovR0NDAtGnT2L17N1u3bmXNmjUsXryYK664gtLSUq/l2axZs7xsEMBrdRaLxbyGwvX19V56YHd3Nxs2bKCgoIDGxkamTJlCXV2dlyYIeF3rW1tbCYVCXh/MyspKr3tOcrZHaWmpF+o4lgyQkdkjo2WUbVaKxXLsjPkRIyL5IhJQ1SHgLmCZiCx23n4R+BNwFkfxf0nO887JySEUClFcXExTUxOJRIIZM2bwpS99ieLiYhYtWsTLL7/MJz7xCfLy8li9erW36OXFF19k48aNPPPMM8yZM4c777yTuro6Jk2axBNPPAHABz7wAQKBAHv37gWgqamJzs5Or0Gwz+fz8r7b2tqoqqqiurqaKVOmICLk5uZSUlLCwMAAqkpZWZkXz45EIpSVlXlhE8ArARsIBPYrJnWo0q6Hi2GnqiysLTdrsRw7Y9rzFpGLgQ8DQRH5HrAeWAVc6sS4nwF+ISLXA3OAV4/ke0fmeRcWFlJUVEQ4HCYWi9HV1QWY/O2VK1fy6KOPsn37dm699VYeeughnnzyScBMfMbjcaZOncp1111HV1cX7e3tPPXUUzzyyCNceeWVXsOFe++9l8WLF3vFpFyZbvu1jo4OrxvO7NmzqampYdeuXYgIQ0NDXjNhN1a/Y8cOryuPm/ExPDzs5Z673+umOB4q1HG4GHaq2p9lQ1s1i8EtWGXL144dxqzxFpFpwNeBa4F64HrgKWALMAx8WkRmAt1ADbDraL4/2Uj19/cTDAYpKiryJpDc8MC8efOYO3cuzz33HMuXL+eOO+7gvvvuIx6Pc/PNN7N3714CgQAFBQWUlZURjUZ54IEHWLhwIbfffjv5+fkMDQ2xb98+Nm/eTF5eHolEgkAgQDAY9FITZ8+eTWdnJ1VVVTQ2NhIOhxkcHGRoaIje3l5mzpxJKBRCRLz6JuFw2LsJucY7Ho/T3t5OaWmpl6HiFqM6WKjjcEY0VbFrGxPPHmzBqrHHmDXeQDmwR1VfAl4SkZ3APwIKPIEx4jcA/cBlqtpyLEKGh4eJRqPecnjXWIIJQZSWlnLjjTdyzTXXsHPnTlauXMltt93G8PAwVVVVdHV1eROMRUVF3H333XR2dvK1r32NiooKWltbueGGGwBTGjYnJ4fBwUH6+/spKipicHCQ2tpaamtrPQ/abclWVlbmVQbs7e31Mjfc7BPX8+7t7fU+G4vF6OnpYd++fUQikf1i+wfjYEbUxqQtlrHLmDPeIlKoqv3Ay8B2EbkU+KWqvujkc38Z2KmqT4nIGkCPZqJyJP39/fj9fioqKigvL6ehoYHi4mI2bdrEjBkz+NznPscnP/lJ7rnnHm6//XZmzJhBbm6u1/191apVPP/88+zcuZPu7m4GBwe55JJLOOOMMxgcHOSrX/0qq1evpra2llAoRFdXF/F43ItVh8NhZs6cyebNm2lra2PSpEnU1dXh9/spKCggNzeX/Px8enp6aGtr8zJOgsEgAwMDbNu2jYKCAmpqarwCVRMnTiQcDh+3Z3s0zYktR059fT07d+4c8zneB8PN+bYhlMwypoy3iCwDThORe4FB4DXgDKBVRF5Q1RdE5OfANSLyO2cS87hwVya6nnMwGKSlpcWLf3/lK19h6tSpPPTQQ5x77rnceuutrFy5kvXr1/Pb3/6W/v5+6uvrOeeccwiHwyxdupRFixYxODjIvffeyyOPPEIwGPSaJfT39xMKhWhoaKC6uhq/309RUZG3UtP1xktKSti9ezeFhYVUVVUBZnFPPB4nGAx6K0MLCgooKSnxGiq4ISC3+fDxnpvkfy2jQzbkdx+I5IJVtuJg5hkzxltElmMW4HxKVaPOvoeBW4DzgUnATzBhkwFM3Pu4cb3T2tpar8mv21eypKSEuro6brvtNtauXcs999zDRz7yEW677TYCgQAXXXQRV111FXPnzvWWog8NDfH4449zyy230NnZybJly1izZg0tLS309fWRSCSYNGkSc+fOZerUqezbt49wOMypp57qlZWtr6+nt7fXq08CeKGLtrY2zzC7KxldRtvY2pi0JRlbsGpsMSaMtzPx+H3gm6r6exGZAFQC/ap6m4hcAbxXRK4DJgBXqWpitOQXFxczefJkFi1aRDQapb+/nzfffJPCwkLa29vZtWsXM2bMYMGCBWzatIkNGzYwdepULz/crff9m9/8hgcffJDf/e53LFy4kK6uLpqbm/H5fAQCAUSEQCBASUkJ06dP58wzz/RytwcGBrwqgG6ZVb/fT3l5Oa2trUQiES+DJHmC0k0HdA3tsRpbG9+2HA3JXrgNn2SGMWG8gQJMJsmwiLwX+Cxm+XuFiLyiql8AHhWRUzGTmK2jKTwnJ8erddLV1eUVrWprayMnJ4czzzyTP/7xjyQSCUKhELt27WLLli2ceuqpnHnmmbz99tt89rOfZfXq1dTU1FBTU8PWrVsJhULs3bvXq4/i9/u9nO5du3ZRUVHhZYW4seXS0lIvl7ugoIDi4mLy8/O9OiU+n89bhLNnzx6Gh4cJhULH7W3b+LblaLDL5jNPRo23iExT1S2q+pqIBIAPAl8E7gb+HagFHhaRs1X1eVVdn0p9YrEYPp/P62aTSCTYt28fa9eu5dprr+XBBx+kqqpqv8UsNTU1NDc3EwgE8Pv9xONxr+RsNBr1YumlpaXk5+dTVFTE5MmTiUQiRKNRhoeHycvLo6KiwpuMDIVCRCIRBgYGCAQCnufutjFzs04qKyuB0emQY+PblmPB5n9njowZbxE5D3hcRFap6kpnMnIIeF5Vf+Uc9raIvA3EUq1Pf38/sViMqqoqTj/9dIaGhqioqGDv3r2ICC+99BInnXQSra2tNDQ0kJuby/bt25k9e7ZXPratrY1wOOyFMmbOnMng4CDt7e3k5uZy8sknM3nyZK8hcGVlJX6/n7y8PBobGz2D7Rpot474gTxid6FRMm7oIxAI7Pc9R4KNb6eHbKgkeDTY/O/MkRHjLSJFwE3AzcBCEfmpql6mqi+LSEHScRcDpwDNqdapsLCQ3t5eKisraWho4M033yQej1NZWcnAwADd3d309PSgqnR3d3ttzDZt2uTlbsdiMW95ekNDAwsXLmTz5s1eyCMcDrNo0SJ6enro7u6mqKiIhoYGgsEgwWDwuIpAwd9CH8lL3a1BHltka6bJoXDj3+5r1wu3KYWpJSPGW1X7RORazOrIXwI/FJHHVPXypEyTqzEG/hpVTXleUk5ODpFIhO7ubqqrqznttNPo7OwkkUh4GSjhcNjLz+7s7CQvL4/c3FzKysrw+/1Eo1GGhoYoLS0lGAx64ZAJEyYQiUTIy8ujubmZuro6SktLCQQC5Ofnex11DqbXkRpg18Ane94WS6o5WBaKTSdMLRkLm6hqk/OyV0Q+BtwvIo+q6hUicjJQBHxIVbelS6ecnBwGBgbo6urySr12d3d73Wt8Ph/RaNRrdxaNRonFYpSUlHhxahEhHo/T09NDa2urZ8Crq6sZGhryjHFjYyOdnZ3k5+fvVzzqeLI9kg299bgtmcDGwNPHmMg2UdV2x4DfLSKbMeVfz1HVlIdLRhIOh71a221tbTQ1NVFfX09JSQl5eXns3LkTn8/n9b1MJBJMmTKF2tpaRISioiK2b99OR0cHpaWl1NbWerW4d+7cSU1NDdXV1cRiMYaHh2lvb/fal9lsj/FLtq+qPFJ27NhBfX39ft3nDxRSsRw/Y8J4A6hqm4isA5YDSzJhuOFvE4GBQIBwOMyECRPYs2cP8XicaDTKwoUL2bhxI+Xl5RQXF3u9Ld0mwp2dnV4zhpqaGgKBADNnziQYDDJ58mQvM6S7u9trbpwc3rChjvGHG/sdb7Hug3EwA20nNkeXMWO8RaQMeB+wNNUpgYfCLbdaV1dHfn4+NTU1zJs3j9dff51oNEp9fT3d3d0kEglOPvlk+vr6mDx5Mlu2bGH37t0EAgFqamqYOHEi7e3t+Hw+2traKC8vp7a2FsBbVOPGpsFme4xnxuMk5bGQPLHpbltP/NgZM0vpVLUTWKGq6zKph1tutb29ne7ubmKxGLNmzWLWrFnU19d7ndjD4bAXB4/FYp4X3tTU5GWm9PX10dfX93cxbNdQu1ksthnB+KO+vt427R3Bjh07UFXvD4w3PrLBsRt2sefv0IwZzxtAVQcyrUMkEiEnJ4fy8nKvaUJOTg5z5szxyra63dkjkQjNzc3U1NQwMDDAtGnTaG9v9xbc7N69m7KyMvLz8w/a5MAtMOV645bxgRvfTo79WvYn2et2DTYYj1xV99s3EvecHiijZWS6ontM8mcO5PUnz0tkwxOBnIiPc07vy2PNY8oBcoEE+xfHCgNto/h9R8uxyh8NTjTZk1W1InmHiHwU+KizOR3YPMoyM3mOD8ZY1AnGpl5Ho9PfXV8H4oQ03qlARF5V1bknovwTVXY6GYv/z7GoE4xNvVKhk31Ot1gslizEGm+LxWLJQqzxHj3uP4Hln6iy08lY/H+ORZ1gbOo16jrZmLfFYrFkIdbztlgslizEGm+LxWLJQqzxtqQEyWAhi0zKtljShTXeKUBECkXEf6LKd9XYbyO9BjWTsk9IRCRXRHIzrUcyY2Qc/B2jpZc13qOMiFwEPAo8JSLniUjjiSTf0WEJ8ICIfFRElgOoqqbDiGZSdjoQkRkicpaI+EXE5+zL6P9NRC4EHgR+KSLzRaQkk/o4OmV8HByI0dTLZpuMIiLSADwNXI5ZIr0AaAVWqeqfxrt8R4d3AT8Fvg6UAe/G9CX91/EsOx04A/8OYDvQDrwKPKyqHSIimoHBLCIzgSeAjwBzgPcA/wU8paq70q2Po1PGx0E69BpThanGAUFgl6q+ArwiIn8BzgdWiEhHGtq5ZVo+QDHwM1W9X0QCwP/DeMKqqt8cx7JTiuNlXwxcp6p/EJELgPnA50XkLlXtyJBqlcBbqvoc8JxzzV0KqIj8FIhm4KYyFsZByvWyYZNRRFX/DOwTkX9ytl8FVgGTgBnjXb6rBnCOiOSr6oCqbsB4Ze8SkfeMY9mpRoAQcCqAqv4a4+ECXCYimRrLL2BaGX7A0etp4HHMjWZmJp4Gxsg4SLle1ngfJyJyrohcKiJXOrt+DEwWkZUAzl32JeAGEckbb/IdHdw4rM8ZvGuA1Y73C7AN84hfNZ5kpwMRyReRgKoOAXcBy0RksfP2i8CfgLNI41gWkUUislhEFqtqDPgDsFBEFoBnwFcD/5Sum8pYGAfp1ssa7+NARN4N/AyoA24WkW9jSoFuB+aJyC3OoVGglxFZENku39HhIoz38GXgMRG5EfgXjGFZLSKFqtqP8YrPEIdsl50ORORiTAx/lYisAP6K+f9eKiJL1PALYAIm3pwOnZZirrmlwDdE5C6MQVLgfBG5xDm0A3DPfap1yvg4yIRedsLyGHGMwJ1As6p+x/H0HgJ2AA8DjcDHgBKM13f5aE6WZFq+o4MPeAT4YVIcdhEwiJlYux2YC7wBLAber6pvZLvsdCAi0zATgdcC9cCHgaeALRhjcAlm8qsb+DzwblVtSbFOuZiskudV9UciUgT8DngWc84vxxj1EkwoYKWqvp5CfVxjl9FxcAjdUqtXclsi+3d0f8BK4IdApbNdiIn3fSfpmKnAhHEqPw94Erghad+7MI/31zvbizCP9VPGi+w0XVvzgd8nbS/EFDf6uDPYFwGPAf8BvCPFukjS6xuBzwEBZ7sYeBm409nOBc4AJqbxXH0I+EGmxsEh9Erp+Mz4RZptfxiPwg8UAJOdAbQEKEj6gV4DLhyP8h0Z+UmD92yMh7jY2RZnMP3f5EE/HmSn6foqdP7NwXhqlwI+Z98ijPe93NnOBXLSoFNl0uuzMR7/9KR9QczE5YI0nqd3Ao1Jrx9J9zg4iF5pG5825n0UiMj7MYPne5jHxxgmpvUp4CwRqVITY13tvDeu5Ds6HGkcthQzqMaF7HQgIsuAG0WkwNn1GsaLfZeI5KnqC8DPgWuc7YSqHk/rvCPR6Tzg1yLyHyLyNeB14FfAj53J4gJV7QY2kaY5NOc8/QITckBVXwP+CNxEmsbBQfRK6/i0ed5HiIjUYGJYN2HiqFdjHhfnYx7ZrnCO2w1cBjwwirIFqMXEFdMuP0mPaZgFMG4c9nr+FocdBj4tZtFGN1ADjNoijUzKTgdiVoPeAXxKVaPOvoeBWzC5wJOAn2AmAAc4vn6nR6rTFODfMOc8gVn09BtghaPHt4E/isgwZnHOHWnQ6d3AvZjQ2J9FpEhV+1T1+yLSThrGwUH0Srt9sMb7CHA8oTZMStQWoFVV7xKROCazYT4mZWseMBt4j6puGS35qqoi0oRJKXoz3fKTKAP2qOpLwEsishP4R8xAfgJzbm7AZBlcpqM7gVaeQdkpxbnpfB/4pqr+XkQmYBa/9KvqbSJyBfBeEbkOk1lylaom0qBaO/D/HZ0E+G8gjjnf5wHrMPnJczETwlvToNNS4M/AGhGpA/5ZRGJAJ/AtR8e5pHYc7Eem7IPNNjkMInI+5oL5FsazWKeq30h6/4uYSYdPqOpgCuRPxYQB/oJ5FPtvVb0nXfIPoM+PMROFv1TVuIgswqTq/ZuqPuVkJOhoPc676X5i8oV/hPG20yI7XYjIO4HrgLWYJ4bPYgxnBfCKqn7BOe5UzA2sNcX6nILpdt6C8fYfV9VvOe/lYNIxB9RZtSqS+qX5InIW5gb+W0wmUSkm/v7vQBNm8VIZ8Jl0jIMkvTJnH9IZzM+2P+AcjNFc5mzXATsxF4h7TD0mCyAVk3MXYLyMXwFfAf430MX+GRYpk+98/+mYLI4zne3rMY/L5wJ5zr6rMbPoeaMsexkms6EAE0+9CTNIUi47TdfXtKTXi4DvAFsxGSWCCZWsBs5Oo07LMR71KszN8h+AjcBNI36XH6RJnxxMRstGjFe7EjNp/W1MiMk97mzggTT/fhm1DzZscmjeibkgnnYe0Yoxnt73RWQAM7AWYAxcKebRbVRwHp0/BnxYVTeJyEcdfVYB33Qe1VZhBv2oy3d0OA/j5awHCkXkV5hZ/S8D7yeFcdixGAMeTZxz+7iIrFLVlar6gogMYXKof+Uc9raIvE2aJt1E5FzgHuAKVX1ZRP4L6AGuBP6P43V/D5OqOE1ESlS1J5U6qXmK6hWRRzBx9xWYjJzPyP5lVScD1SJSrKq9qdQpiYzZB7Ax78MRx9zlwczyN2E8o/WYR6XpmPzba1R1VH8YR3YxMBHYpKbY0vuADZi7/UxMvHFOKuSLyDuAfwWuVDMxdAlwlqo+JiJ3YxaNvCcVcdgxHAMeFZzFLTcBN2OWlf9UVS9zDGZB0nEXA6cAzWlSbQ/wMUePiRjj9M+Ya+5xzG8+C5M7f2mqDfcI4hjP9kHgeie0EwO+KCI3A1dhrtV0GW5Xp0zZBxs2Ocxj0amY5aw/d34AgGnAN4Hzne2yFMr/OKb275XANzA5ozcC30o6pjRFshcCH0/aPgkze17vbLvzJXOAyCjLfifGeH8EeC9mFd8vMCv57hzx+4yq7DReW9WYm3MYk5f+2Ij3rwZeAWZlSL8vAV92Xn8Ek3UyFQgA4QzoMwW41Xl9C2Zi+j5n+6FMnKdM2web530IVHU9ZvLoTKDB2bcFiGAqvAHsS6EKP8NM0L0bk+R/uareB8wUkVJHn1GV76TkoaovAv/p7MvFeBV7MDUrwAxkVPV1HaUJtCTZr2FuVKcA92GM20qMQZsrImc7x60fLdnpRlWbVLVXVdsw4bGAiDwKICInA0XAh9RURsyEft9Q1a87rx/AGKWgmmqNbRlQKQpMF5HrMU7NHUC9iFyKKZOb9vOUcfuQ7rtVtv1hQktXYarTXef8vUoal1yTtIrO0eVFoCgFcs7DeDQ/HykbM3H0FGY13ZWYePuoeRUHkX0GI1aiYepCzM/0dZGCcx/GeJCbMRNzVRnURUZsX4xZMJS2Je8H0etrmIVZK5ztfwAmZVinjNkHmyp4hIjI6cAHMUtfH1Zz1023Dtdi7vQfGm35Thz2P4FfYkImPlV1FxbkYoz3TzHZLnMwceZNKZKdr6qXOe8V6N8mLC8GbgU+qJkrqJ8yROTTwBeAJZm4vg6gjx+zuOQzZPApIEmfSZgw2WvOdo6OkbTQTNgHa7yzCBGZjEmJeytF31+NWaEYwBTUGXANuPP+rzGPzxeq6uYUyx5U1cuT3r8aM8l3TaaNSCoQkTLMpOAtqrou0/oAiKkvvQTYOtq/9/GQjrzybMAab8sBcTI87se0sbrCWSx0DfDoaHncRyH7ZEzc/7equi2VsjOJmKYLA5nWw5IdWONtOSgiEgbuxuSSg0kV3JNm2QsxC1bOUdV0pcxZLGMem21iOShqsgrWYSYpL06X4R4hO+TItobbYknCGm/LQXHisO8DlqZ7Ai2Tsi2WbMCGTSyHJJNxWBsDtlgOjjXeFovFkoXYsInFYrFkIdZ4WywWSxZijbfFYrFkIdZ4WywWSxZijbfFYrFkIdZ4WywWSxZijbfFYrFkIdZ4n0CISEJEXheRjSLyZxG5xelLeKSf/72IzHVe/6/UaWrJVkbzGrMcGmu8TyyiqjpHVU/BlPpcDvzLMX6XNd6WAzGa15jlEFjjfYKipn3YR4GbREQOdIyIFIjIz0XkDadzfIGz/w6gwPGwHkuf1pZs4niuMcvhsd3jT2BUdZvTJSeC6U85kk9gOrafLCKnAWudz90qIjep6pw0qmvJQo71GrMcHut5Ww7F2Zju9TjdXcZEhxfLuMJeY8eINd4nMCLS+vIndwAAAL5JREFUCCSArOzAbhn72GssdVjjfYIiIhWYXpH3HqIf4POA2wh4FnBa0ntDTo9Di+WAjMI1ZjkENuZ9YlEgIq8DeUAc+Anw7UMc/wPgIRF5A3gDeC3pvfuBdSKyNrlRsOWEZzSvMcshsPW8LRaLJQuxYROLxWLJQmzYxIKILAPuHLF7u6pemAl9LOMPe42NPjZsYrFYLFmIDZtYLBZLFmKNt8VisWQh1nhbLBZLFmKNt8VisWQh1nhbLBZLFvI/JqLBYb/anMQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 396x396 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "D_d_samples_run = D_d_samples\n",
    "D_dt_samples_run = D_dt_samples\n",
    "    \n",
    "samples_merged = np.zeros((len(D_dt_samples_run), 2))\n",
    "samples_merged[:, 0] = D_dt_samples_run\n",
    "samples_merged[:, 1] = D_d_uncorrelated_samples\n",
    "\n",
    "corner.corner(samples_merged, show_titles=True, labels=['D_dt', 'D_d'], bins=100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing the MCMC...\n",
      "Number of walkers =  200\n",
      "Burn-in itterations:  200\n",
      "Sampling itterations: 200\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sibirrer/Library/Python/3.6/lib/python/site-packages/emcee/ensemble.py:335: RuntimeWarning: invalid value encountered in subtract\n",
      "  lnpdiff = (self.dim - 1.) * np.log(zz) + newlnprob - lnprob0\n",
      "/Users/sibirrer/Library/Python/3.6/lib/python/site-packages/emcee/ensemble.py:336: RuntimeWarning: invalid value encountered in greater\n",
      "  accept = (lnpdiff > np.log(self._random.rand(len(lnpdiff))))\n",
      "/Users/sibirrer/Software/lenstronomy/lenstronomy/Cosmo/kde_likelihood.py:43: RuntimeWarning: divide by zero encountered in log\n",
      "  logL = np.log(density)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InMemoryStorageUtil does not support storeRandomState\n",
      "169.94275307655334 time taken for MCMC sampling\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 396x396 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sampling H0, Omega_m within [0.05, 0.5]\n",
    "lower_limit = [0, 0.05]\n",
    "upper_limit = [150, 0.5]\n",
    "\n",
    "bandwidth = 2\n",
    "kde_type = 'scipy_gaussian'  # 'gaussian', 'epanechnikov'\n",
    "mcmc_sampler = MCMCSampler(z_d, z_s, D_d_samples_run, D_dt_samples_run,\n",
    "                           sampling_option=\"H0_omega_m\", kde_type=kde_type,\n",
    "                           bandwidth=bandwidth, flat=True, lower_limit=lower_limit, upper_limit=upper_limit)\n",
    "walkerRatio = 100\n",
    "n_run = 200\n",
    "n_burn = 200\n",
    "mean_start = [70, 0.3]\n",
    "sigma_start = [10, 0.1]\n",
    "mcmc_samples_cosmo_narrow = mcmc_sampler.mcmc_CH(walkerRatio, n_run, n_burn, mean_start, sigma_start, threadCount=1, init_pos=None, mpi_monch=False)\n",
    "\n",
    "corner.corner(mcmc_samples_cosmo_narrow, show_titles=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing the MCMC...\n",
      "Number of walkers =  200\n",
      "Burn-in itterations:  400\n",
      "Sampling itterations: 400\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sibirrer/Software/lenstronomy/lenstronomy/Cosmo/kde_likelihood.py:43: RuntimeWarning: divide by zero encountered in log\n",
      "  logL = np.log(density)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InMemoryStorageUtil does not support storeRandomState\n",
      "345.4849500656128 time taken for MCMC sampling\n"
     ]
    },
    {
     "data": {
      "image/png": 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tSSQSuFyu92277cmTJ4Or1cFWVFRo2fwgbtaN/n3dyK0E2F8B9mmtvzT/9b8kG2j/o9b6iFLKtuA4iRXt2bNHnzhx4obPNzIywtDQEHV1ddTU1Nzw/tbPlUgkePvtt3nttdd46623ePTRR3nmmWeIRCIcOXKEI0eOoJTijTfe4MKFCySTyUWB8Nd//dcZHR3lO9/5DqdOnaKioiLn883MzLB9e7YX8he+8AUymQzf/OY3zfVEIrEo4FZXV1NfX09paSl+v59EIsG+fftoaWmhpKQEm83G7t27aWtrw+l0kks0GuXcuXPs3LkTj8djfqb29nZKSkro7++nvLyckpKSZQEvnU4TDAapqKhY8UVjtd9rLtevX6erq4vW1lZaWlrW/Ji3Qil1crX627X++xIilxv9+7qRW0kRHAeeVEpt0Vp3aK3/03wO9j8rpT6itZ6+hcdexgpsKwW4lQwMDBCLxZiYmCAej5PJZEyge/PNN821O8HhcODxePD5fGYmOz09zenTpxkZGaG/v58XXngBm82Gw+GgpaVlUbB1u93s37/ffH3s2DEOHz7M5OQkra2tXLlyhYceeojS0lJzH601c3NzZDIZMpkMsVgMn893yz9LMpkkkUjQ2NhIIBAAsrNka4Z9u2bJQtxLbiXAjgAp4FmlVFBrHdRaf1UptRn4EvCV2zLCeQ6HY00zV0sqlWJ0dBSA2tpafvM3f5Nvf/vbvPjii4yPjxMOhwmFQszNzREOhwGYnp5e9lY7FotRUFCwrrGWlJRw8WKupkdZs7OzpFIpk7rw+Xy43W7cbjdTU1OMjY0Rj8c5duwYSilcLhelpaW4XC42btyY8zEzmQzbtm0jGo1SUFBAYWEhXq8Xj8ez6H5zc3PMzs7i8/nw+/14vd51/Wy5RKNRXn31Vex2Ozt37jTvAKznAm5LEBfiXrOuacV8GzIAtNZjZA80ew74lFJqx/yla8C68g6ZTIZwOEwms3JGIdd9UqkUIyMjpFLLO6FNTEzQ0dHBuXPnmJqaIp1O88wzzzA2Nsa1a9cAKC0txev1UlSU7WGcqwnM5OTkohngWjz88MMMDQ0xODiY8/r169eB99oC2mw2PB4PHo+HUCiE2+2murqakpIS/H4/Bw4c4JFHHjEzw4WSySTXr19nZmaGTCZDeXk54+PjRCIR9u/fT11dHVprIpEIWmu8Xu9tC6yQTTW88cYb9PX1kU6nF43xdj+XEPeaNc1glVJtWutOrXVaKWWf/6/SWp9WSv022RnrY0opTbaq4OfWM4i1zHRy3ScYDDI0NASwbHZbXl7Oli1bGB0dJRQKEQqFCAQCDA8P89Zbb1FUVERnZydKKSoqKujs7OT69esmj2qZnJxkx44drMfOnTsB6OzspL6+ftl1K8AXFBTg8/moqqpCKYXdbqepqYny8nJ27drFpUuXaG1tpbGxkaqqKux28/pmcqgzMzP09PSwceNGamtr2blzJ16vl7a2Nlwul0kHWLP0wsJCCgsLCYVCjI6OUl1djd+/tK/z2gWDQYqLi9m8eTNPP/30ovy1zWaTmat4oN0wwCqlfgb4G6XU97XWn14SZG3zQfbfkj3idy/wZa1193oGYc1wvF7vskUUa5a38D6QzSUuzMsu/b5MJkM8HmfTpk2cOnXKLF719PSQTCYZHx+nsLCQgoICSktL6ezs5Nq1a4yOjppAprVmamoKp9PJ0NAQQ0NDJsgvlUgkzEzYGvO5c+fMYo9SiqqqKgAuX76MUort27dTXFxMc3MzJ06coKuri4mJCerq6hgbG2Pz5s34fD6Ghoaw2WxUV1eb57NeXCoqKmhtbSUQCOBwOMhkMlRVVeFwOPKSDrBYudyysjJaW1upqKhY9AIghLhBgJ0/2fI3gH8BHFBKfVtr/dn54OpY0KU8Nd91/eqKD7YCKw+aq8xooVyzIbvdvijoLDQwMEBXVxfj4+N4vV4cDgeJRIKf+ZmfIZVKcenSJSKRCIWFhWQyGTZu3EhfXx81NTUmUMzMzJi3vTU1NdTW1lJZmbtiY2Jiwsyiq6ur8fl8hEIhc1s6nTYzxf7+fgKBACMjI4sC86VLlwiFQiYV0tbWRltbG8XFxcsW9xa+uCwMbMFgkIGBASKRiGks7vV6TdC3Zr5lZWXU1tauO+hajxOJRJidncXv968rNy7Eg2TVAKu1jiilvkD28LXvAX+8IMimwHQ9f0Ip9SdAXK+z7iscDnPs2DGefvrpFe+z1tXoZDJpgpeVC6ytrWV2dpZEIsHFixex2+00NzczPDyM3W6nqKiITCbD+Pi4WRSzTE5mu7OtNwerlKK+vp6BgYGc161SpubmZlKpFC6Xi2QySSgUory8nGeeeQan08nmzZspKCigurp62exQKYXP58Nms5nZpLVQVlxcjNPpJBaLLXvhWppWSaVSjI2Nrbtca+k7CiHEcjf8i9JaD81/GlZKfQn4hhVklVI7gVbgb7TWsZsZgM/nY9++faveZ62r0f39/XR1dQGwYcMGs+Lu8XiYmZnBZrMxMzNDXV0dZWVljI6OEovFiMViFBcXc+7cOZLJpAlmU1NTQDafu14NDQ1mLAtprbl27RrpdJqqqir6+/uJRqPMzMzgcDhoamri53/+58lkMhQWFjI+Pk4ikSCTySx6cYlGo8zOzpoXn1gsxuzsLCUlJVRXV2Oz2XIGv6XlbqvlsVcj+VUhbmxdVQTzW2G/BCSVUlfIti97Z76i4KYUFRXdMD2w1tXoQCBg8pEWa5eWz+dj8+bNpNNpk5KYnZ1laGiI3t5egsGgmclaksnshrSbqeFsbm42b9UXSqVSxONxZmZm6O/vJ5VKEYvF0FqbqobTp08D2bRDX18f7777LqFQiHQ6zfDwMFNTU4TDYbq6uujt7TXBNRaLkUwm8fl8Ji2wsIIAsmkVv9/PiRMnmJubo6Kigrq6unXXFwshbmzdkUNrHQTOke1w/pLWevi2j2oJa7a0UqCLx+OcP3/e5FKtYvx0Ok1PTw/BYJBgMIjD4aC6utqssu/atYtAIGAK/SFb92rZsGED8F5Z1Xrs3buXdDrNyZMnF93udDp59tlnSaVSJvBZATKRSADZ6oKBgQH6+vrw+Xz4fD7m5uYIBoNcv36djo4Ojh8/zsmTJzl//jzpdJotW7ZQV1dHQUHBolI2a/Y/Nzdnbjt37hwnT57k3LlzN/zdCiFu3rr/qpRSpcALwIe11udv/5DWr7OzkwsXLtDZ2bno9mAwyOTkpFlM8vl8NDY2orVmfHycsrIyioqKaGxsNG+PFwbYyspK/H4/V6+ue+2OXbt24Xa7OXLkyLJrL730EkNDQ2azgVXxkEgkGB8fJxQK8eqrr/K9732Py5cv4/F4SCQSJge9ceNG9u/fzxNPPMGBAwdoamoyfQ3GxsYIBrNHY2mtyWQyZkZr2blzJw8//DA7d+7MGYCFELfHundyaa2nlFIfvdmcaz60tbUB0NraSiQSMbuXysvLiUQi2O12XC4XRUVFOBwOzpw5QyaTYcOGDaZBidPp5MiRIwwPD5tyKsi+1b98+TKjo6OrlmnNzc0t6xmwdetWDh06xEsvvYTD4TCP+8gjj+B2u8lkMmzevJmGhgYymQwej4fi4mIuXrzIzMwMsViMqakpzp07RygUwufzMT4+TmVlJc3NzWQyGSoqKsxC19L8ajgcpru7m/HxcQ4cOGCa0bjdbvbt20cikaCzs5OGhobbsliVSqVuqr9BPp0/f37FxjNNTU1ywrDIq5v6K7ibgitk31Jv2bKFjo4O/H4/FRUVpjSrubmZaDSKx+Mhk8nw+uuvmzrU5uZmamtreeWVV8zs1+fz0dDQYB67vb2dH/7wh9TX1zM0NERZWVnOMQwNDS0KzAAHDhzg61//OplMhuLiYhP4PR4PH/7wh3nnnXcYHx8nk8kwMzNDZWUlTqeTDRs24PF4mJycpKamhra2NkpLS/F4PCZ/Ozw8bGaqVqna0rK1TCbD2bNnGRkZwefzLepbANmZ/6VLl7DZbLclB3uzC2b5lEgkVmxQYx37nosEX3E73HOJt4VbZqPRKG+88QavvvoqHR0dXL9+nZMnT+bMJ2YyGXp6epiammJ6etrkNd966y0uX77M2Fh2nW5higCys+NwOMzw8PpTzXv37gXg+PHjy6797M/+LMFgkFAoRDQaJR6Po5SipaWF7du3k06n6e3t5dKlS2bmPDs7S0FBAcFgkGg0ahanli5kRaNRjh49SiwWY/fu3Tz00ENmd9nSn629vd28A7hV99qCWU9Pj2kLufQDsqVwuT6k/aFYq3suwFo5Q6tV3w9+8ANefvllBgcHSafTzMzMcOTIEdLpNPBeOdPExITJd9bV1VFUVEQ0GqWpqYmqqirq6uqA3AEWWJbfXYvGxkYqKyvJ1S7vQx/6EIWFhYyMjOByucxmgtLSUhwOB08++STbt2+nvb2d5uZm/H4/mUyGlpYWM8MtLy/HbrcvyqNavQGOHTtGV1cXVVVVPPXUU8uavkA2VbBz506TOrhVVkOeuyU9cCsk+Irb4Z77S7ByhR6PxyzSRKNRdu3axeTkJNevXzeLWLW1tSawFBQU4PV6+chHPsL58+c5ffo0Ho/HlEoVFxcD2d1bC7W2tgLZALt79+51jVUpxd69e/npT39qKgQsHo+H559/ntdffx2fz4fT6eTatWtcvnyZqakp9u7dy7Zt2+jv7ycej2Oz2QiFQmQyGTMLd7lcpirC+t2MjY1RXFxMS0sLbW1tpgzsRqVwYu1WSx28X43Gxb3hrpzBTk1N8e1vf9sU+i+0sKzI4/Hw9NNP88ILL+Dz+SgoKGD37t2Ul5eboGOz2SgsLMThcFBUVITL5eLo0aMcOnSIt99+m8HBQZLJJOl0mrKysmUzVWsraK5NA2vx5JNPEolEOHbs2LJrH/3oR5mamiISiaCUoqenh8HBQd5++21+8IMfcPLkSbq7uzl79iwej4dUKsW1a9eYnJxEa51zA4S1BfZDH/oQbrfblKB1dnbS399vZvb3M6XUF5VSJ5RS0mlb3FF3ZYB95ZVX+Md//EdeeeWVNX9PYWEhtbW11NXV0drais/nMz1h4/E4w8PDZnEoGo1it9uJx+Mkk0mze2v37t1cvnx52WNv2rTppgPsww8/TGlpKa+//vqya0899RSFhYWcP38eh8OBw+HA5/NRV1fHyMgISil27NjBpk2biMfj5mSCwsJCNm7caHLNC1MEc3NzhEIhgsEg4XAYm83G4OAgp06d4vTp02ZhzLKWVpH3Gq31N7TWe26lE70Qt8NdmSJ48cUXF/13LWw2Gy6Xi97eXgKBADabjbGxMYaGhhgZGWF8fJySkhKCwSAej4eWlhbi8TgDAwOmC9XAwADd3d0kk8lFJVetra0cPXr0poKQ3W7nqaee4kc/+pFpjmLxeDw8++yzHD58mIaGBtra2kz51eTkJMXFxSY9YNW09vT0mJ/V7Xbj9XqZnZ3F6/Xi9XoZGRkhHA5TUVFhdr/V19ezefNmSkpKcLvdaK3NW1krOFtbcXP1e7hdJxPICQfiQXNXBtjS0lI++9nPrnqfXKU3/f39ptdqU1MTZWVlRCIRioqKSCQSjIyMcP36ddLpNI2NjcRiMWpqahgcHCQajRIOh0kmk5w+fZpNmzaZx62vryeRSHDu3LlFJVwLWQ2vc9m0aRPJZJK/+qu/4mMf+9iia4899hjf//73icfjBAIBKisrCQaDpszM7XbT0dFBdXU127Zto6ysDJfLRWFhIeFwmHA4zMjICFVVVcRiMcrKykzZldVTIZVKUVNTg81mMwc3WjlZK5WSyWRMjW9hYaFpIOP1ehf1gigsLLzpPONagrkQ95O7IsDezB/s0vZ7FRUVBAIBMpkMpaWlxGIxjh8/TiAQwO1243Q6mZ2dZevWrcTjcbNQdO7cOZqbm/F6vaZ71vj4+KLuXlb9aDKZpLGxMed4uru7qa2tzXmtpqaG6upq/v7v/55Pf/rTi64999xz/Lt/9+/o6OggFArR0tKC3W5nZGSESCRCTU0Nc3NzdHZ2MjIyQmlpKUVFRcTjcbxer2kaA5ga1Orq6kUvQNZCn9vtJhaLma8TiYTpPmadXmsF3IVB9XZq2IUBAAAgAElEQVR1zsoVzO+3hjFNTU03/QIktbf3n3t++mAVtweDQZxOJ9XV1UxMTHD06FEuXbpEZ2cnx48fx+12mzytteg0Nzdn3oI3NTWZt9kXLlxY9BxWqdZK7QdvRCnFY489xpEjR0y9rcXj8fDkk09it9uZnZ0lHo/z0Y9+lA0bNpDJZOjr66Ovr4+qqiq2bdtGe3s7ZWVl9PX1cfLkSaampkx51NIaVOs4mUgkwvXr10mlUhQWFppZo9V9rL+/f1lPgoUNdqy8762ukFvPkY8G4HeL1cq7bvTR29t7p4cvbrN7PsBaxe0lJSUMDw8zPT1NJpNh+/bt7Nmzh3Q6zeHDh+nr62PHjh3Mzc1x9epVk3ttampCa82PfvQjLly4wNatW5cFWK/XS2Nj44pnbK3F448/TiaT4e/+7u+WXXvuuedMvwSPx8PAwABPPPEE+/fvx+v1Eg6H8fv97Nmzh927d1NRUWFOwvV6vSYdUFFRQTAYNJUCVgA9fPgwFy9epLOz03QXy2QyObuPWawFwlznnd0qaTAjHhR3RYrgVtjtdkpKSnjnnXfIZDKUlZWZmVx1dbXp+bpr1y4qKyvNiQF1dXW0t7czMzPDd7/7XRKJBA6Hg1AoxMjIyKKFIMh21rqVt28NDQ00Nzdz6NAhfumXfmnRtcceewzIpjtGRkY4duwYNpuNDRs24Pf7KS8vZ+vWrdhsNqLRKG632/R93bJli8m1LtyqWlZWZo7Rrq6u5syZM2zcuJFoNMr09DThcJiqqipzpM1S/f39dHZ2EolEaG9vl/pOIW7CfTGF6OzspK+vj8HBQUpLS00DFMh2xHr66acZGRkxpwYUFRVRV1dHc3Mzp06doru7m6mpKZqamqivrzd9Yhdqampa1Cv2ZjzxxBMcPXqUeDy+6PaSkhLa29vZvn07sViMcDiMUopEIoHf7+ehhx5ibm6OQ4cOMTAwwIULF0wPWasmFrJBtbi4mLKyMvr7++nr68PlcpFIJEwFRVdXl+nitVoHrUAgQH19PX6/XzptCXGTbjnAKqUOKKU+oZR69nYM6Ga0tbVRWVmJy+Xi2rVriwKCzWZjaGiIy5cv09HRYdIJJSUlDAwMsHXrVmpra2lsbMRms5nzsZbWwzY1NZka05v1+OOPE4vFlvWIta69++67lJeXU1payvT0NKFQyATcs2fPcuHCBU6dOmUqFgoLC0kkEoyNjZmuYB6Ph3A4bGavgUDApFGCwSCnT59mcnKSkpKSVXOgTqeT9vZ20zhHCLF+t5QiUEp9GPivwH8H/uV8G8NDa/i+LwJfBFZclV+JVUvp8XjM21aXy8Wzzz7LpUuXTP3qwiNWrEWquro6JiYmePTRR4lEIpSUlHDhwgU2btzI5OQkyWTSdM86e/bsoqNsrJX606dP58xZDg8Pm8A+OjrKoUOHeP75503A9nq9bNu2DYfDwY9//ONFj2Gz2di7dy9//Md/bMqpUqmUyatCtoer1pqtW7fy3e9+l/r6enw+n5kNW78Tayx9fX20traa30d1dTUOh4Pp6elFpWZLy92sBcB9+/aZI75vF6mDFQ+amw6wSqlK4HeBf6G1flUpFQFsSqlN8yfMrkhr/Q3gGwB79uxZ1yGJS2syLVYNanl5OeFweNFJqgUFBezYsYNkMsnU1BSlpaXY7XZOnz7NG2+8QTgcpqamhpKSEjweDw0NDWbl3mJ1o3K5XGzevHnZuCYnJykvL2d0dJRvfetb5kTZn/u5n7N+ZhoaGti9ezenT59etM01k8lw8OBBAK5du0ZNTY3poOX3+/H5fPT29nLw4EHeeustrl69SjKZJBAIUF5eTlFREW63m2g0isvloqCggObmZgKBwKLcaVlZGY888siymldrfHNzcxw5coSjR48CrHoQ5XpYgdXaNQb3X3mWELncyjRiGjgOJJRS7cCXgV8BfqqU+qe3Y3C5rHQ+l9Xb9NKlS4yMjOTcEtrf38/ExAQ9PT2MjY2Z/quAqSe1zrXKlSIAGBkZWXFswWCQr33tawC0tLTwzjvvLGvycuDAAa5cuWKqACw1NTW0tLTQ0dGBzWajtLSU4uJiCgsLmZmZoa+vj2PHjrFlyxZ27drFhz/8YSoqKvB4PIRCIdPOsL+/n2AwSHFxMS6Xa9FzrFYmZb1wNTc3Y7PZKCgoMGeS3aqFL4r3a3nW7WDV0EqXrvvHTQdYrXUSCAOfAv4G+C9a688BHwN+Xyn1+O0Z4mI2mw23283Y2NiixiVWb9N9+/Ytqge1ypIikciiYDo8PIzWmqeffpqdO3fS0tJi+r7a7XauXr26KDgWFhaaUrAVfh98/etfJ5FI8Bu/8Ru8+OKLzM3NcebMmUX3O3DgAADvvvvussd47LHHSKVSzM7OmiYt1pHaDz/8MCUlJfh8Pj784Q/T0tJCfX09yWSSrq4uc35XfX29Weha7Xe4tK7VeuHq6elhYmKCw4cP09/fj9aaUChEKBRasXH1jViPbQV3SQ/ktloNrdTI3ptuKkWglLJprTNa699SSrnInjR7EUBrfUIp9e2bfWzLavm6heVIVgd/61QDa2eSzWYjmUyaUw7KyspMH4D+/n6Ki4vNDLGxsZEzZ86YIOz1ekmlUoyMjCzKEZeVleXs8DX/czM7O8uePXuor683p8kuPVW2ra0Nu91Od3f3ssfYtGkTU1NTxONx3G43NpuN2dlZhoeHqaur48KFC/j9fj7+8Y9TVFREJpOhoKCA6upqSkpKTO7W6XTS399PU1PTir1Z4/E4nZ2dtLW1UVBQgFIKr9dLe3s7yWSSuro6AoEAc3NzjI6OAu8F5vWyUgPWzyTEg2LNQVAptRkoA04AmfnblNY6obJToV9RSg0ATwDPAP/5Vga28G3l0nzd0rOnLFZhPWTrVvv7+83mgEAgwOjoKB0dHcTjcerq6giFQqb/qnX+VUtLC6WlpUB2sWphgPX7/SueyWUdRmidQGtVG1iLXBbrWJdcM+GFPWm11rS2trJ161b8fj9Hjhyhp6eHEydOUF9fT3t7O319fSilCAQC+P1+s8hl5ZoLCwvN5oOl52RZB0UC7Nixw/zOM5kMjz32GDabzXT4sl7Ebvat/d14lMy9ZrUtuLLF9u61pgCrlHoJ+ANgcP7jhFLqm1rrWQCt9f+rlPor4LeATcAntNbLp2jrsNr+94V/9JZ0Oo3T6TSLO4DpTVBeXk4ymWRkZIT+/n5mZmZMa8CxsTFisRilpaUUFBTQ1NTE1NQUx48fNzM3S1FR0bL62IVaW1t5+eWXCYfDKwZYgNra2py53JKSEgBmZ2cpKysjk8kwOjpq2g4WFxeTSCR488036erqMi8UPp9vUe1vU1PTouCaK7i1trYyNzdnGopDtlfB9PQ0w8PDJlgXFhbm/BnWY6UXRLF20uT73nTDAKuUcgKfBH5Fa/22UurngUeA/10p9X9rrWcAtNafVkrZgEKt9c0Xi86zFmTWKhgMEgwGqaurM60KF+7m6uvrY2xsjPb2dlNb2tbWxpe+9CWuXLlCKpXiyJEjKKXYsGEDAL29vYvqXu12O9PT0zn/sY+Pj5ug9M4775gtptPT01y7dg2fz0dfXx+QDbqXLl0yX9vtdmpra83RLVVVVdTU1FBQUABkZ5v19fU0NjZSXFyMw+EgnU4TDoc5f/484XAYl8tldmVZ3bSCwaAJ2hUVFYTDYVOCBZhG4tZusGAwyNjYGOFwmPr6erxe76KuWpb1/kFbvRKEeNCsNUXgJzszfRv4WyAIvEh2geuPlVL7gbjW+gxwS8HVyr26XC4mJyfXfAR0SUkJY2Nj+Hw+Ll26ZOpDvV4vmUzGlGAVFxfzk5/8hFOnTjE5OcknPvEJ2traePfdd5mYmDDVB3a7nZmZGfO2HbIzYquAf+k5VlNTU1RVVfG9732PaDRKZWUlAB/4wAfw+/3E43HTbWvDhg0cPnyYqqoq7Ha7ObLb+p7BwUGUUtTX15sxOBwO2tra2Lp1q2moHYlESCaT+Hw+ysvLFwW+hTNXK9ieO3eOEydOkMlk2LdvH9PT0+Y+zc3NpFIpE9yrqqpQShGJRExaxO1233XHcgtxN7vhX4nWOqmU+k/AP1NKXdNaH1ZKvQXUAz+jlPoL4ADw17djQAsPNbTOx1rL7Gd6eppUKmXa+tXU1FBWVkYsFjMLQm63m+vXrxMKhUin00SjUU6ePEk8Hsfj8XDw4EHTxrC6unrZ23hrkWxmZibnQYFOp5ONGzfS2dlpFo5yzcJrampMm8WFqQ4rmNtsNux2O5OTk6YBt9Va8AMf+ADNzc2cP3/epAxqa2vNmV1Wtyzr7XhZWRnd3d0MDw+bmXlVVRXT09Nm95r1c1kvQlZpUDwep6uri4aGBnPel+RShVi7tU5DDgObgc/NL2wdAv5qfkdWndb6lha0FrLeilZUVJg84lpY95ubm6O3txePx2NSATabjY6ODvbs2cOWLVvw+Xy0tLQwNjbGuXPncDgcJojU1tZy9epVk1pYaGGAXZoDtrS1tfHKK69QXV29YkmSNZMdHh5e9DjW2/l0Ok06nTatCO12O16vl/PnzzM7O8vnP/9501rx0UcfZdu2bYyPj5PJZCguLqaystIE91gsRiqVwuFwUFlZSVFREQMDAySTSfx+Pw0NDUxMTJieufDe7i6rtthms1FeXk5FRYXpY2A9phBiZWv6C9Fax5RS/x3QwG8ppbYAcaCSbC3sbbMw95prlrSwSfTCY12s1fmlwc/v93Pu3Dk6Ojpwu91s3LiRK1euMDo6ytDQkGlyffnyZc6dO2felo+Pjy/bJGDNMFeqJABM+8Pe3t4VV92tyoSenp5FJ9VaR7qkUilKSkqYmppCKcXg4CBlZWWEQiHOnDnDxYsX0Vpz+PBhfuEXfoHS0lJcLhfhcJhUKkU0GjXj9Hq9FBcXU11djc1mo6SkhEgkQiAQIBaL0dPTQzAYpLCw0Pz+JiYmaGpqMluM29raSCaT9Pf343Q6CQaDklcVYg3WPAXRWk8ppf4bcIls3WsM+KzWenT177y9FpZibdy4cdl1v99Pe3s7gHm7vHv3blNG9cYbb3D8+HHKy8tpbm42BfrBYJBEIsHg4CDDw8Mkk8llu8Gs1fTVAqz14jA7O2tmpEvV19dTVFTExYsXzVZayL5I7NixA7vdjtPpxOl04na7KS0tpbW11RzUeOHCBVOfurBngrUTze12LzruJZPJEIvFiEQiFBYW4vF4TGMYazuwzWbj+PHjJjVj/b6sEq7r16/T1dVFc3Pzssbe4s6SEq6717re42mtE8AbSqlD2S/1+34U6cISrCVjM0GlqKhoUT9Xj8fD3r17iUQifOADHwCy//CsQBOLxZiZmaGsrAytNQ6Hg+LiYq5du7aoacxaAqxViB+NRlfcTaWUYuvWrVy6dGnZtQMHDvCHf/iHPPvssxQVFZna26tXr/LBD36QgoIChoaG2L9/Px6Ph+eee45jx45RW1tryrOshal4PI7T6TQHOlrpA5vNZno31NbWmln+5cuX2bRpE9u3bze/X+v3Wl1dzfj4OIFAQLa63mWkhOvudVNJNK11+sb3unW5tmZaC0lLry1tArP0eigUoru7m/Lycp544gnzVnr37t0mV2vNGAsKCkgkEnR2dpoes5ANrEop+vv7l21dHBsbM8dmW1KpFFevZvveWK0ULXV1dZw8eZLLly+bo2wAHnroIZLJpDkNtqKigq6uLpxOJ11dXRQVFTE1NUUwGOQjH/kIoVDIpBI2bdqE1pqCggLi8Th2ux2Xy8XIyAi9vb20tLRQVFRkmm7Pzc2Z8i273U5VVZU5ksb6/S9cdHS5XCbtIIS4sbt+lWLhzHTpq3EmkyEajeLxeEwNqvVfpRSxWIzz58+zadMmTp8+TSgUore3l02bNpHJZBgaGqKqqoqzZ8/S3d1tTo+dnZ01+d1YLGYWtzZu3EhRUREOh2PRqbOQLYuqra1d1B/B4/GYzltLc8MPP/ww3//+95mdnaW+vt6M++DBg9hsNk6fPm2O6R4dHaWyspKpqSnGx8fx+Xxs27aNqqoqkxeORqOLDl4sKCjA4XBQVVWFz+djcnKS9vZ2c7Chla8NBoOEQiEKCgrYu3cvJSUli37fN7voeCctbIcpxJ101wfY6elpOjo62LJli5lJWqLR6LK2e2+88YZpFH3+/HlOnTpFV1eXmdHG43FmZmZIJBJmS+nZs2cZGBjAbrebHV1WWmB8fHxRe8LVtstCNo9qvU23jnLJxXrMK1eusHXrVnN7UVERO3bsMD9PMplEKcUTTzyB0+lkYmKCoqIiqqurKS4uZnh4mJaWFq5evcrY2JhpxG0dA27NQH0+H9evX2fbtm1mtmod4R0KhWhubjbBdekR3dZYVqqcuNssbIeplLq5DjX3iRudcis52vy66wPsxMSEaS24NMAunLWm02m+853v8PLLL/PCCy/wyU9+0izQbNiwwfRg1VozMTFhzuDauHGj2YVVVlZmUgdWq7+lx8TcKMACJsCu1tiksrKSsrIyrly5suzagQMH+LM/+zM++MEP4nK58Pl82O12Kisr8Xq9DA8P89ZbbxGLxejs7GTHjh0UFxfT2dmJ3+9ncnLS5I49Hg9erxe32008HicYDJojZQKBAJOTk+YYnYUzVrfbTSQSyfnOQdw7bhQ85f9tft31Abapqcl0jUqn04tmhQu7O42OjtLT00MkEiGRSJDJZHA6nTQ1NZFIJIjH41y7do3du3dTW1vL5OQkfX19DA0NUVtby8TEBJOTk8zOzjIwMGBmvNZ2VktpaekNT5e16kNXC8RKKbZt28aZM2eW5YsPHjzIH/3RHzE0NMTWrVtxuVxcuXKFwcFB/H4/oVAIu91u0hlWvnh8fJzq6mrKyspwOBxmBjs3N0dbWxvT09OUlZVx6dIlrl+/TiaTMZsPrLf+Sincbje9vb0mTXI7TzUQ4kFy1/eOczqdFBcXm14DK6moqOBTn/oUn//853nxxRdN/wGra1V7ezt1dXVmZjo3N8fZs2c5fPiwCUwbNmygvLzcLAI1NDRw/vz5Rc9TV1fH0NCQWYVfyjqI0GazMTo6umL/WIBHH32U0dHRRYtfAE8++SRlZWWMjIzg8/lM60TrbLFYLGa6XWUyGV5++WWcTidbt27lAx/4AIFAgI0bN+J0OonFYoyMjDAyMsLY2JjJLzscDnN4olUjG4lE0FoTDAaZmpoyi21CiJtzVwdYrTWRSGTRUdwrsdvttLW18clPfpKSkhIz67WaZI+NjZleAw6Hgx07dvDcc8+xe/du7HY7IyMjFBcXm4CWTCaZnZ1dFmAbGhpIJBIrnjAbiUSIxWJ86EMfAljWcHuhAwcOoJTi7bffXnS7y+Xi4x//ODMzM6YqIR6Pk0gkcLvd1NTU4PF4GBgYoLu725xisHnzZpxO56Jm2iUlJaZx94ULFxgYGDBHyVy8eJFjx44B71VhWJUFDQ0NN8zfiXufnKKQX3d1isD6o/f7/TkXWFbqsF9YWEhxcTGxWIzLly9z/fp1s93T7/ebXGxdXR2NjY385Cc/MY1T2tvbuXr1KqFQyKzMh0IhHA4Ho6OjpsPVmTNn2L59u3nOkZERpqenzfZar9dLVVUV77zzjjmGJVe+1dr8sHRb7jPPPMOf/umfEo/H2bZtG0VFRRQUFJiZanl5OQMDA1RUVFBUVMSBAwfMi4e1eUBrzeDgIIlEgqqqKtxuN21tbbhcLp5++mkKCwvZt28fWutF7SFzzc5Xq+YQ9y6poc2vuzrArtYTdrX/+Uopqqqq6O7upqSkhLa2NhoaGpicnCQQCGC32xkbGzPNsWtqamhoaKClpYWjR49SUFBAZ2enOZ9ramqKjRs3snHjRrPQlslkFpVqdXd3U1FRwfT0NABbt24lmUzy4x//mPLyctOUZamDBw/y53/+50xOTi467XX//v1s2LDB9A0oLi5mw4YNeL1euru7F534WlFRgcvloqKiwrx4RKNRk4cuLS2loaFhUf7a6/WaQw2XtiTs7e01JzdYL2yrNUAXQuR2V6cIrBKhlYKplUJYaSbb1NREc3Mz+/btw+l0EolEGB4eJp1Ok0qlqKioQGvN+Pg4TqeTo0eP0tPTY3ZhWQHH2poL2dV/l8vFwMBAzuecnJwEsl2sduzYgdbanByQy/79+wH4h3/4h2U/+0svvcTRo0eJx+OEQiGGh4dJJBKMjIxw9epV03VrYV+ATCbD+Pi4CfRlZWVs2LBhUY516e8vHA4zPT1tesFaQXlhSmalwyaFECu7qwOsJZlMcv369WWnnC7MG+Zit9vx+/3Mzc1RWlpKbW0tlZWVnD59mqGhIfx+Pxs2bCAejzM6OorL5aKsrIwtW7aYrlvAokUom81GQ0MD/f39OZ/T6kzl9XoJBAKUlJQsy+MuZJ19tTTAAqZPgXWETCqVwuVyUVlZaU59feONNzh79ixf/epXee211+ju7jadrnw+n3mBsn5X4XCYmZkZhoaG6Ovro7Oz09zfahJeUlJittRalFK4XC66u7uXNcERQuR2V6cILEsbvFhvaa2erEs77y89LRWyM7uKigpzaqrH46G8vByHw8HBgwcZHh6mo6PDNNouLS1l8+bNdHV1LTvCOxAIrJi7snLG1hja29s5fvz4qiey7tmzhx/+8IfE43GT44XsgtrDDz+MzWZjbm6OqakpU8FgVQQopejs7KSrq4vu7m527dq1qK/rwt9DJpNhdnaWnp4eZmZmmJmZMaVY7e3tJBIJs8trdHSUubk5enp62LlzJx6Ph+7ubk6dOkUqlVq0+SKX1Q6tFOJBccv/8tX7kAkPBAK0traaBiSzs7N0dXURDocXzdAmJyfp7u5etF3VqusMh8N4vV7a2tqoq6ujqqrKnHpgvdUeHR01jVLGxsaw2+3s3buXI0eOLBqPdaZWrqBpdbCy1NfXm7f4K2lsbCSdTudMO2zYsIGhoSGcTic+n49kMsnFixdNbnbz5s0EAgEqKipobW3F4XDg8XiWBTWllEkTuN1uiouL8fv9pNNpZmdnmZycXJaOuXDhAidPnuTcuXMAZtOCtcFjNTd6d2GdNLtSuZu4uzU3N0v1wRrcjhlsMTB9Gx5nRVaDF8vc3BzhcJi5uTmzF9/r9TI6Osro6Cjj4+M89NBDZnY2MDDAkSNHeOSRR2hqamLDhg1mW+ng4CCHDh1idnbW7MAqLCw0gers2bNcvnzZ5FYhG2Dj8ThTU1PLOmb5/X4ikYjZFGEdA7Pw+5eyFpL6+vrMuVqWiooKxsbGaGhoMA20Q6EQxcXF7N27l6tXrxKNRmlvb+f555/H6/USjUaXbQ7QWpPJZKiurjbnfwWDQVwuF4lEYlG+1WoUXltbi8/nY+fOnQCmjnhpuZy1o6ytrW3Ru4qF/11KFs3ufjdqg7jSuzKpPnjPLc1glVLPAX+ilKq6TeNZk6qqKlpbW0050vxYaGpqwmazMTk5uShHap1PZW1UsJpL22w2+vr6SCaTbN++naamJrxeL6lUioKCAiorK01z7IWzWGtBKdfJsH6/H621mbFaAXZiYmLFn2dhgF3KOhG3uLgYrTUlJSWmGqC7uxu/34/T6WTfvn2Ulpaa9MBS1ouSw+EwDWtqa2spLy+ntrYWu91uct2pVMpUKVhtEbXWxGIxqqqqlp1kYB0B3tnZaW6zGqevlB6QRbO7X09PD1rrnB/Sv2BtbnoGq5R6Evj/gC9prcfW+b2m25EVwNbDOr0gnU4zOjpKRUUFdrsdu93OQw89xLVr10wzF7vdTklJCbW1tWYDgtVMu7KykvLycqqrq81GhXQ6TTKZNLPZTZs24XQ6eeedd3j88cfNDiqAy5cvm6baY2NjpgUgwMWLF6murjY9AQYGBujo6Mj58xQUFOB2u+no6FhWD2vlZB0Oh+lmZTV0KSwsZHh42BzCaM0olFJkMhmTOrGOl4H38tXhcPYgCo/HY84k6+/v5+rVq0QiEdO03LLajHPhyQdLrZSLXe+pwULci24lRbAZ+IrW+u+VUjXARsAxf17XqhZ2O9qzZ8+Kqz+rvdWwtnRah/BZs0CHw0EymWRoaAiXy0V1dbV5+z87O0soFOLixYtcvXqV1tZWc+LqkSNHCAaDhMNhSkpKaGhoYHh4mImJCR5++GGOHj3KZz/7Wex2u3mLnEqlzF7+QCBAWVkZbrebH/7wh5SVlZkuWZWVlUQikUV1rgul02kaGxsJBoOUl5cvuma9AA0MDNDY2Mjg4CDBYND0KIhGo/T29vLII4+gtWZ0dBSPx4Pdbl/WGauwsJB0Ok13dzczMzMUFRVRXFxs8qCBQIBIJILf7zdnmS1tW5hrxul2u00aYSlJBTx45ISF99xKgE0AjyulNgDfBd4CflYp9TWt9Vdvy+huwAp0C3OCc3Nzpn9reXk5J06cMCmA0tJSxsfHGRwcpKenh0AgYI68LiwsJJVKYbPZzD+QqakpqqurTaOVWCxGYWEhRUVF+Hy+nH0GFh6MaKmqqmJsbPVJfiAQyFn6ZQXcaDRKJBIhHo+bkwqqqqqIRqPmwEKrFaOVAslkMvh8vkVBMRgMMjw8jN1up66ujvLycjODTafTeDwe8zNMT08TDofNEd5WXtfqI7uW47tvlIsV9x/ZHfaeW8nBHgeiwGeAb2mt/znwAvAlpdRHbsfgbsRKFSzdoVRRUcH27dvp6OjgJz/5Ce+++y6RSASXy0VBQQFVVVXU1tZSVVVFUVERjY2NbN26lb1795ojZa5cuYLNZqO+vp6WlhaSyeSira61tbU5u2rlOhixpqaG8fFx/vqv/9rskFoqEAjQ19e3bFXdyuFOT0+bc8OstoXT09P4fD7S6TQjIyOcO3fONGiJRqNmFqqUQmtt+uDW19dTUFCAy+VaVGPc399Pd3c3U1NT+Hw+Uxu7tBJgaU7bkqsy4BLoZbgAACAASURBVEa5WPFgWa33wY0+7sXqhJuewWqtLyqlpoGPAW8qpXzzt30HuHEdT55YNaLDw8Ns3ryZ559/HpfLRVtbmzkSxqrxPHLkCIFAwJQfdXZ2mp1RZWVl5syuSCQCYHZHQbZGtbu7e9nzW3nQhQHlueeeY2hoiB/96Ee8+uqrPP7443zmM59Z9Ja5ra2NaDRKX1/fon9IpaWl7Nixw6zONzc309DQQF1dHZFIhN7eXlKpFOfPn8fpdJqttJs3b160iGTVtFq5166uLiKRCJFIhGAwaM4kCwQCphlMVVUVk5OTdHV1sWXLFpMPzvXOwXoOSQeI1dxKeuBenP2uKcAqpTYDZcAJIGOdyaW1/m2lVAJoBP65UioM/CLwJ7cyqFspUg8Ggxw6dIiRkRHsdjtPPPGEOVrG6XRy7do1enp6GBkZweFwmPKt2dlZzpw5Q0NDA7t27WLfvn0kk0kikYjZyWXVzUI2N/rWW28t61Fr7XKy2iJCNm3w0ksv8au/+qu8+uqrvPbaa/h8Pj7zmc+Y+1iNYy5evLgowCql+NznPse//tf/mv3795sqgJKSEoqKirDZbGbVPxqNMjk5ydTUFDabbVHJl9vtpqKigoqKChKJBMFgEJvNRnFxMYlEguvXr9Pb28uuXbvo6Oigra3NHLB46dIlbDabaWC+0pHdkg4QYrEbBlil1EvAHwCD8x8nlFLf1FrPAmitf08p9UGgBdgGvKC1vrbiA66BtWlgdHSUpqamG+b5FqqoqDA7s3bu3EkqlaKvrw+n00lZWRktLS1MTk7ykY98hIGBAfbt28f09DQej4eamhpT6rR161bC4TBXr141TV0WBtjm5maSySSDg4OLKiFyBVhLdXU1v/zLv8zY2BjHjx/n05/+tHlVbm1txel0cuHCBV588cVF3/eLv/iLfPnLX2ZgYICtW7f+/+y9eXCb+Xnn+Xlx3wRBkAB436R4iZIotqRuqbvVR+xO7IzbM2Unac/livePrWztpmYqNbU1Vbup3dnZ1CauTGqrppzZbDxJnGQqcbzT07ZbaqvVUuumKIkUKd43eAAkAOK+3/2D/f4MiJRapy2p8a3qUgsgwBcU8eD5Pc/3YHl5mWQyiUajoauriwMHDqDX6wUn1mKx4PF4WFtbE0YzBoMBlUqFzWYTUl6bzcba2hp2u53h4WG0Wi2hUEgIHnp7e4sYAoVquWw2K1IRlNdaYgaUUEIx7lu5JEnSAt8Avi3L8gVJkr4OHAF+T5KkP5BleRtAluUzwBlJkjSyLGcf96IU0UAwGMRsNhdFnCjigXtBrVbT1NQkukDFqNrtdmMwGDAYDJw4cQK9Xk9TUxPb29sMDw+j0Wh48803sdlsrK6uMjk5SSAQYGVlRYwIlPga+PnyaWhoCIPBwNraGn6/XwgKtra2ima2kUhEFF+3282tW7f46KOPqKqqwm63C5Ps4eHhXbPd7u5u3nzzTW7cuIFerycWi7GxsUFFRQVer5dMJiOYCmVlZRw8eJBEIsH29jaRSIRsNktZWRlWq1UU2srKStHVJxIJGhsb6ejowGKxUFZWJgqrXq8Xnev29jYLCws0NjaytbVVJF9W8Dwe40oo4WnhQVpDG9AGXAD+AdgEfhX4DeA/SpJ0GMjJsjwMPJE4b2WTr/A+FxcXH/rNnMvlhFLJarVSWVkpjvJms5lQKMTIyAiJRAKn00ksFkOr1Yrj88TEBNPT02xubor5p9FopKGhAUBs1oPBIA0NDbjdbkH6h50ZbeG13r59Wyysjhw5wqlTp/B6vXR3d6PRaKioqKC3t5dTp07hcDjEa8tkMmi1Wn7rt36Ln/70p5w5cwa73U55eTlqtRpJklhdXaW1tZWBgQGWl5eF81YmkxF+C+l0moWFBQwGAzqdTsydNzY2WFlZQaVSkc/nMRqNwgVMyeSCnwsVFAWdIltW/iyhhKeN55H+dd8BpyzLGeCPgHclSTouy3KeHTrWTeCEJElG4BVg9bOvf2IJnhqNRjAEFC8Cl8u1p6vWXlA23el0mtbWVqxWq7gvn8+zvLzM8PAw165dIxKJsLGxwaVLl5iZmSGXyxGNRnE4HILGBMUjAqPRSH19fZF6CRDXtteIQIHVaqWxsXGXy1ZXVxfhcHhPdsKv/Mqv4HA4RAetqLAUG8ZUKsWFCxf44Q9/yAcffEAmk8FisVBTU0NXVxcGg0HMWqempohEIkL91tPTQ1dX1y66m+IlEI/HxYKvubmZqqoqIV/O5/OMjo4W/WweB0o8juLsVUIJCu6nLFtcXPxlX96eeJAN0nngFPAtSZJOyLKck2X5B0A1UC3L8ndlWd6tGX2CUN7MGxsbzMzM3NMqUEEymWR1dRWHw0FVVRVms7loWRaNRkmn03R2dtLc3Ew4HGZiYoLFxUXq6uqw2Wwkk0lqa2uFOECj0eyiK3V0dOwqsMoY4PNGGb29vULIoKCrqwuA8fHxXV+v0+n4zd/8TaLRKHq9nng8zuzsLD/60Y9YWVkRKiwlBNFut4uvkySJpqYm6urqRKqu8lrUajU1NTXU1NTsortZLBby+TwGg0HMwW02W9HX7SWTfRDcy+zlXhSwEkp4HvG5BVaW5STwV8At4N9IkvQdSZL+GVAJRJ/y9RXhbletu6F0P+Pj40xOTopic+XKFRKJhJDWKrf39PQwODiIWq0Wb+pAIEA2myWZTGIymVCr1eTzeaqrq3d5D3R0dLC0tCRmtIAYJ9zLRarwsVDsNdvW1oZOp7tnjtd3vvMdcrkcfr+faDRKIpEglUqJNFyVSkVTUxMvv/yyGHUEg0H8fj/pdJpIJEJdXR3d3d3Cx0H5mRQ6kCnLLNj5MFI8COx2+y6GQHt7Oz09PfeUyd7LMUtxRLs7edfpdH5u/trn4bPf0SFJkoYe+UlKKOEJ4IE4ULIsB4E/Bf4AOAm8Drwny/LGfR/4hKF0svfqDpXux+Fw0N3dTXt7OyMjIwwPDzMyMiLuVyhMLpcLSZJwOBycPHmSgYEBKisrWVxcJJVKiVTadDrN9va2iJhR0N3djSzLRR2nsvy6n7kLIMQChXMjnU7H0aNH+eCDD0gkErseU19fz8svv0wul8NqtdLS0kJ1dTWVlZWCvuXxeLh48SKjo6MEAgERljg8PMylS5dYWVkp8qvd3NxkcXGRy5cvs7y8TC6XK2JxKD4Gilw2Ho8XuSgpS7BCH1sF97MsLHREKyzECgXsYZgjd0OW5e/Jsjwgy/LAIz9JCc8VntXwxgcmmcqynJZl+WN2lFv/UpblG0/vsh4NSvdTW1sr3vR9fX0cPHiQnp4eNBqNCD90uVzEYjHBEjh27Bi/+qu/Ko7EdXV11NbWiugYk8nE3NxcUadXyF1VYLFY0Ol0n1tglUXe3YP5f/Ev/gWBQIAf/ehHez7um9/8puj8XC4X77zzDrW1tTidTux2O01NTcIVTJZltFqt8GRQqVSCiuX3+5FlWcTmTE9Pc+bMGdbX1zGZTKRSKdbW1sSIAT7f4/Vu3M8xq9AR7WGft4QS7sazOp996DZBERk8C7h7p6ZWq7FYLJw7d47BwUFMJhMGg4HBwUHi8TgrKysiMkWv17O1tcXU1BSpVIr6+noqKyvZ3NzE7XaTTqex2WwsLi7S3t4uNPx37tyhpqZGfD8lgqarq0vMDW02G0tLS0Udb+HcU4HRaMTn8zE7OysYB+Xl5XR2dvKf/tN/YmBgQBiuKDh69Ch6vZ7l5WXMZrPIEJNlGY1GIzpAq9WK3+8nl8tht9tZXV2loaEBnU4nxAkKp/XgwYNks9mi43pFRQV+v1+MPABhXF542/3+TQr9C+4WjxSKFUoChRJeVDzTkTGf56a1F65evcqlS5cARGoqIKhJNpuNbDZLLpejoaGBzs5O5ufnCYfDtLW1CXrY9PQ0N2/eZHR0lGQyKbbakUikyBWrv7+fubk5vvrVr4piUltbi9/vL7L88/l8u9RPytHd7/cXzRy//e1v86//9b/m1q1bvPLKK7uK3Ntvv8358+dZWVlhY2ODyclJdDod5eXljI+PEwgEOHLkCOvr66TTabLZLNlsFrvdjtlsFt4ASqyMVqvlyJEj+Hw+0flqNBoxelCg/BwUoxdlTv0g3Nf7yWhLAoUSXlS8cA4cg4ODHD16lMHBwaLbNzc3hRBgbGyMubk51Go1vb29mM1m5ufn+Zu/+RtSqZRw5Nq3bx8ul4t9+/YJW8Lp6emi5+3t7WV2dpZkMiluUzrhz2OteTweVCrVLlbE0aNHaW5u5i/+4i/2fI53332XUCiE1+vFYrFgNBpxuVy0t7fjcDhQqVTMz89z69YtLl26hM/nw2Aw0N/fj8PhwGw2YzQaBV9WkftaLBb8fj+xWEyowQoLn8lkEgYwm5ub4lhfmO4ryzLBYJCZmRlSqZS4vWSwXcIXEc90B/soMJvNvP7660VEeWVBYzKZxBLH5/NRUVHBysoKbW1tXLt2Da/XSzqdFh2ZMgKIx+M0NjZSVVW1Z4GVZZmVlRWx4HI6nSKHS7H+2wtarRaXy7WrwKpUKt577z1+//d/n6tXr+7a0B8/fhyn08n29jb9/f1UVVUxMDBAXV0dmUwGlUollk/l5eWsra3h8XhIp9OCrhaLxRgfHyeVSrG5uSkoYgoKl1rKz1AxgFECJ5UOtrA7BZiYmMDn8wkRh/LvUupSS/hl4H4ChaeNZ6KDTafTIoXgSeHuxYnNZhP+p263G4fDwcLCAuPj4+Tzeb7xjW8wMDBAe3u7KMz5fJ6trS1mZ2eZmZmhr6+Pq1evFnWVSmEq9IZVLAvvF3SooLGxkeXl5V0UsDfffJPy8nI++uijXY9RZL2XL1/m9u3bYuSxtraGRqMRlozHjx8nm80SCATwer1cu3aN9fV1wVCwWq1CnaXMjycmJohGo4KqdXeXCjvFUq1Wi5DEwu7UYDBQW1vLvn37aG9vL3WtJfzScb8F2Of997h4JgqsEsv9eQKCh8FeR1KDwUAul8Pj8Qgnf6PRiNPpxGq1cuzYMSKRCC6Xi4qKCvR6PaFQiNXVVZaWlggGgywtLQnZLuz4CijLKgUKEb+QcXAv7N+/H4B/+Id/KLpdo9Fw9OhRhoaG9lQ1tbW1EQqFmJiYYHNzk5mZGSYmJvj0008pKysrWiDt27cPs9nMrVu3WFxcxGg0YjabMZlMVFVVYTAYyGazXL58maGhIT799FPRuSo/w3vxVuHnyyxJkgiHw6ysrFBZWYler9+VVFtCCV8kPBMF9vMEBI+Kwjd3PB7H7/cLGhbsLG2amprweDzi74o8tqqqisXFRRE0aDQaBTn/Zz/7mfgekiTR3NxcVGCVxdCDFNiysjI6Ojr4r//1v+6Sm7788stEo1GuX7++63Gtra3imrVaLYuLi3z44YdcunSJjz76SHSlZWVl9Pf3s2/fPlpbW8UsGXaYAnV1dSJxoaWlhePHj3PixAl0Op2Y3SrZXtFolHA4zMbGhrByvPtTXjHE+TyaWiEUHmw2mxV82FKsdwkvAp6JGaxOp9sVV/0koLz5s9ksi4uLxGIxmpubKSsrE9lTjY2NpFIpPvnkEzweD5lMhoWFBcLhMH19fRiNxiIa1Pz8PKdOneK9994T36euro4rV66IzlYJLlxcXBRFNhQKFS3CCtHe3s7ExAR/9md/xtGjR8XtBoMBtVrNBx98sOvno8x79Xo9drudSCRCX18fsViMwcFBwR5QEmZNJhODg4NEo1GGhoZoaWkRBbO5uZlUKkVdXR1NTU3k83lGRkbY2Nigt7eXmpoaqqqqUKlUJJNJRkZGaGhoEP4OhbNaJdl3rw/Lex25lFHE3QW1ZN5dwvOOZ6LAPgrudeyMx+OMjIyI4gg7I4hz584xMTHBP//n/xybzYbf76e+vh6r1cq5c+f4+OOPKS8vR6VSMTw8jNvtpru7m5WVFRobGykvL2drawuLxcKNGzcELQp2BAenTp2ipaUFjUYjimp1dbWQxG5sbNwz9DAUClFbW8u5c+d4++23xWuz2Wx0dnZy6dIlfv/3f7/oMUqO2MrKChcuXMDhcNDU1CT4q7lcjrKyMnp6esQoxGg0Mjo6ytTUFBqNBkmSmJiYIJlMotPpiEajonO9cuUKJpOJWCxGPp8XC7+JiQm2trZoa2vDYrEIebJSGC0Wy54flnsV11gsxtWrVxkYGBA+tcriTEFpflvC84xnYkTwJDEyMsL169cZGRkBdo7pWq2WXC5HLBZjYWGB5eVlZmdnhbH04cOHOXLkCO3t7fT29tLR0UF7eztDQ0NcvnyZ999/n6GhIXw+H42NjeRyOc6cOSO+Z2trq4iqAYpGEA8CSZJ46623WFxc3MVSOHDgANPT07vm05Ik0dLSQk9Pj/B99fl8jI6OMj09zZ07d1hZWRFeB+Pj4wSDQbGsUmJxLBaLmJ0uLS2JmbPiIass+kZHRwkGgyQSCeHREI/H2djYIBKJoNFoHqoYyrLMJ598woULFxgaGsJsNqPRaARHt5TlVcKLgBfut7evr49Dhw6JGOnNzU02Nzf5lV/5Fb72ta/xxhtvUFdXR3V1tZC/ZrNZPB4Pc3NzJJNJqqurkSRJBP/FYjGmp6dFQXY6nXz44Yfieyodm8IEUDrnvfwE7oWXX34Zk8nEqVOnim5XQhgLC7qC1tZWJicnaWlpEb4Gypy5srISh8PB5uYmZ86c4dKlS1y+fJlsNovNZiMcDmO32xkcHKS3txePxyM8Hpqbm+nq6mJwcBCNRsPMzAxjY2OsrKzQ2trK4cOHhWBD8T9Q/HEfFPF4nPb2dg4ePLiLs1xCCS8KntsRwb1gMpk4cuSIOJI6HA5isZhYpMFO99Td3c3c3Bxzc3OClmQ0GkXi6szMDLIsi+iYXC6HXq8nm80iSVKRl6sinVUSYx+2g1Uec+LECU6fPi3mmbDDUmhra+O//Jf/wj/9p/+0qIi1t7fzwx/+kN7eXpHLVVZWhtlsFq9Jo9Gg0+lIJpPo9Xrq6+tpaWmhoqJCJBuoVCpcLhcbGxskk0kuX75MZWWl6NhramowmUzU1tZitVopKysTz323kutBI71NJhMej4eWlpYSy6CEFxYvXAd7N9LptEiHhZ9r4mFHcVVVVUVlZSX79u2jr69PuEKp1Wpqa2t54403+MpXvsLrr7+Ox+OhuroanU5XdBxWZq4KPUv582E34IcPHyaXy4nxhoLf/u3fZmxsjLNnzxbdfvDgQWAnYlw5pmu1WsbGxpiYmBCpt2tra9TV1eF2u2lqasJoNLK4uCjSDxTer8fjERE7S0tLpFIpUZjdbjfJZFJ05Qo1K5/PF9kdPqifayG1q4QSXlQ8dgcrSdKbQBY4/ywZwShQjusGg0EsbJToaoXn6XA4uHPnDvPz87S2tuJ0OtHr9ZSXl7O0tMTY2Bh37tzB4/Hg8/mora0tSixQUgyUjk0pGg9bYNva2rDZbNy8eZMjR46I2//RP/pH/PEf/zF/8id/wmuvvSaeX3EMS6fT1NfX43K5BC/W6XSyubkpRAgK39Xn83Hjxg3W19dpbm7GarUSCASor69Ho9HQ3NzM9vY2zc3NaDQa8XPLZrPCTGZ8fJxEIkFPT4+Y2cJOqOO9Ir1LKOGLiMcqsJ+FIv4fQBr4V5IkXXsSoYdPAsqIoFDyGQ6HsVgsYmO9ubkpOrjl5WU2NzfRaDQ0NTVRVVUluJ6KJ6zNZkOj0RAKhWhoaBA0ImU04Pf7mZ6eFqOBjY0NsbTa2toShf1u6HQ67ty5A+wUqTt37oi/W61WqqqqePfdd/mTP/kT/u7v/o7+/n5gR2qrOGG1traSTCaxWq2Ul5fT0dEhnLTKy8upqKhgdHSU5uZmWltbxbZfpVIRjUbx+/1EIhFCoZBgTSgCAyWNVnHvOnfuHIlEAp1OR1dXlzCTyeVyuyK9C120HqZbfZzo9hJKeFbwuB1sFrgM9AH/M/B/AWclSZLul88lSdJ3gO8ARZHXTxLKmzmVSjE1NUVra2uRskuSJMEltdvt2Gw2QqEQt2/fZmlpiaNHj2I2m9nY2MDhcJBMJpmfn2dubo5EIoHdbhf8TGUkUFtbS1tbmzhGV1RUiMjvpaUlqqur97xWpYME2LdvH++//z6VlZUYjUaSySQWi4Wvf/3r/OAHP+Bv//ZveeWVV8RrOHbsGP/hP/wHDh06xOTkJGtrazidTtra2lCr1cRiMeEFq2SNVVVVodfrcTgcaDQaVlZWMJvNTE5Oolar0el0QlQRj8fJZrNis19XV8eJEydIJBK0t7ejVqvRaDSsrq7uKq7K4x+Fz/qojyuhhGcJj9UafFZEfwz8L8DfA/+TJEn/A/A/SpKkvs/jhOO8krT6tKBkRs3MzOya+SnBinq9Xshoa2pqaGtrI5fLMTY2Jro35Tar1UokEikKUbx7RPAwUtm7UV9fjyzLu2hZer2eb3zjGwwNDRXFzBw7doxMJiM8BAwGA01NTZSVleFyufB6vZw9e5b19XWqq6sxGo1ks1lhfrO2tkY4HGZhYQG1Wi0eNzIyQiAQEEbeio1hMpmkrq6OgwcPinn1/WJeHtVFq+S+VcKLgCd19vodWZb/X8ALfBcwPSvz2L0yo3K5HPPz81y8eFF0m1evXuWTTz7BYrFw6NAhNjc3UalUOBwOcrkcH330kegG7y6wygJNKbDKkfZRzCKUWPC9XNi/+tWvotPp+Lu/+ztxmzKrVVRjFRUVGI1GZFmmrKyMRCLB/Pw8169fJxQKMT4+ztjYGOFwWBRLRZWl1Woxm82cPn2ay5cvc/PmTZLJpPC59fl8rK2tsba2hs/nE69PrVaLBOC7Ja6Pymct8WBLeBHwyL+90s9bwdPAiCRJR4E3gP8HOClJ0rEncH2PDb1eT09PD9lsVhSEra0tPv30U86fPy/oVsoRWJIkhoeH+fjjj7l27Ro6nY6ZmRlByFfCEwuLp/L/yp/K8zxKlLWydLtbcAA7vgVvvfUWp06dEgYwDoeDrq4uWltbcTgclJeXk0wmhTT35MmTHDlyBLvdTjQaZWNjQ8yajUYjWq2WsrIytre3hXJL4QX39/eLDlIZFVitVoxGI6urq3savzyN+Jen4bZWQgm/CDxwgZUkqUOSpKOSJGklSVLLsix/NmvNAoeBC8C/kmX5O8APgZWndM0Pjbvf9BUVFbzyyiscP36c3t5eAE6cOME777wjjtCSJGG1WpmamhJpsyqVis3NTQ4cOMDFixfF8ys8WMXgRKVSUVNTw9LS0iNd74EDBxgbGytKq1Vw5MgR4vF4kaPXq6++yoULF4TFmqLSisViwrt1ZWWFlZUVamtrGRwcFMd5xfymubmZnp4eOjs7qaur4/jx41RUVIiRislkwm63i0BCxfzlbsOXp3G0fxpuayWU8IvAAxVYSZLeBf4/4H9jp0P97yVJshUssr4BHJZl+X0AWZb/b1mWH626PAXc/aZXq9U0NTVx7NgxjEajONYqxtlGo5Fjx44xMDDA4cOHUalUYhFmNpuJRCLiyA07ngMajabIUaupqYn5+flHGhMMDg6SzWa5cWN3rqTygVAodDh58qSQrSpdZUVFBU6nk0wmQ3V1NR6Ph0QiwczMDKurqyL2O5FIEAgEWFlZwWAwYLfbaWxsRKVS7ZmvpZhut7a2YjAYdlkYPo2j/dNyWyuhhKeNz30XfEbF+gbwbVmW32Cn0NYBvydJkh1AluWoLMvXP/v6Z25oVlgcMpkM8/PzYjEFO8bYs7OzIu67rq5OLHXW19d56623xDG8ra2NlpYW8vk8n3zyCbBTsJ1Op3DRgh0j7XA4LChcD4OGhgZcLhdXrlzZdZ/L5aKqqqqowB4/fhy1Ws329jbBYJCJiQlu3bpFNBpleXkZt9vNiRMnqKysxGAwEAwGiUajaDQawuEwq6urzM7OMjU1RTKZJBaL4ff7hTVhKpUqEhMoM9d0Oi2it58mFLe1Qu5xCSU8D3hQmpYNaGNnDPAPwCbwq8A3gf8oSdIAkJVl+aYsy8+0gadi9AI7RTCRSIijrlqt5sCBAxgMBjFnXF5eFnPcSCQiuuGLFy9y+vRp3n77bWBndrq8vCzUU8qG/fLly+zbt49AILDnzBJ2+KyFBRN2iuzVq1eZmJjAbrcX3dfU1MT169dZWlqiqakJSZI4cOAA+Xyempoawf29efMm29vbGI1GWltbOXLkCFtbWwSDQfx+PwsLC1itVgwGg/gAUZRvFouFcDjM5OSkoLMBRZ4DioXhg4gKHqSTf1KqrkIaYAkl/DLxuQVWluWMJEl/BPyOJEmzsiyflyTpU6AG+DVJkr4PHAf++ilf60PhXm9W5ZhZV1dHIpEQ89W6ujpUKhVqtRqDwUB9fT2pVAq1Ws3S0hI+nw+tVovJZGJychKtVsv58+cpKysTzlYff/wx3d3dSJJEW1sbf/Znf0Y2m6Wnp4epqSnuRUnb2NgQpt8KXnnlFa5evcrU1BS//uu/XnTfgQMHuHLlCqlUShi0vP766/zhH/6hMKnJ5XLU19cTDAYFxzUQCFBTU4PdbieTyTA5OSlECbW1teTzefx+P7DDDVaO+Vqtllu3btHY2Eg2m2V5eRmPx0M4HMbpdApa2qNie3ubjz76iDfffHPXh8mjQJbl7wHfA5Ak6fFzP0oo4RHxoMf588Ap4FuSJJ2QZTkny/IPgGqgWpbl78qyvH7/p3g2oNPpaG5uRqvVYjAYWF9fF1lW5eXlQlq7sbGB1+ulr68PrVYrPFaNRiPl5eU4nU5WV1eFTFTR6itzWb1eT11dXRFn9WGgpA3cvn17131KDpii9oKdpFnFWlCn0xGJREin0yKkUBk7jI+Pk8lk0Ol0lJWV0dLSgsFgQKfTCZqWInJQutjbt28zNjbGuXPnOH/+PMPDw9y8efOBPAc+D7Is8/7773PmzJk988dKKOF5xgONCGRZTkqS9FeADPwbSZI6gRRQ5fWfsAAAIABJREFUCeyt/3wOkEwmcbvdmEwmysvLWV1dxWAwCB9UJcnAaDTS0NBAa2srVqsVt9vNxsYGk5OTzMzMUFNTg8vlAnYKs2LE3dLSsmfcy4Ni//79/Lf/9t9YXl4uWvA0Nzej1+sZGxsTt3V0dDA4OEgwGMTpdCLLMtvb22xvb5PL5XA6ndTV1eFwONBqtVgsFmpqanA6nSwuLpJIJNDr9ciyTCgU4siRI9y4cYOpqSm6u7t5+eWXKSsrY3x8HKvVKjxwH9dzIB6Pc+jQIWAn6LGEEl4kPLBUVpbloCRJfwqMA/8dkATek2V54/6PfHJ40vp0k8mE0+mkvr6e9fV1sbApKyvDYrFgsVgIhUJ4vV6xsFpcXCQcDrO9vQ383JpQER4U+g1UV1dz5syZh/KFLYQis719+3ZRgdVoNHR1de1y3frmN7/J7/7u79LW1oYsy0SjUQ4cOMD6+jq3b98WHwKtra3C3/X27dtotVoSiQSdnZ2sr68TCASQZZnDhw8DiD/Hx8ex2Wz09/fjdDofeWaqJNYqarL6+no6Ozvv+2/6oDaIJZTwLOGhqpQsy2lZlj8Gfgv4l7Is7+YRPUU8aRK7JEnCYcrhcNDa2kpZWRnz8/Pk83mqq6upr6+nqamJ8vJyUbQikYgw11Zmp0qhLSymip6/kF3wMKioqMBgMDA5Obnrvv7+fubn58XMFHaUXhqNhomJCSRJIpfLcejQISRJYnV1lZ/97GcMDw/zySefoNVq8fl8bG5uCoaAXq/n1Vdfpbm5GafTiUql4rXXXsNsNmM0Gmlvb+fVV1+lra3tsRZShf+OD2pb+KA2iCWU8CzhkVqBX5YMVuGx3k1if5zOVnnjwg4Fan5+nunpadEp+f1+gsEgOp1OdKk+n49oNCroSrB3ioFyXyE/9mEgSRI1NTVMTEzsuk9x1Dp//jzvvvsusKPqeuONNxgdHSWdTrO0tMS///f/HovFQiqVwuFwYLPZxHz1a1/7GqFQiMrKSpaXl9m/fz8qlYrW1lZqamowGo1kMhkxoigrK6OsrOyRXksh7vXveD+UbBBLeB7xXJ21FBL73Xgc5yW73Y7P5xPb6+rqauLxOIlEgsnJSRYXFzGbzTidTlHA9+/fz9WrV2lqaiKdTpNOpwkEAsCOubWi4FKknZOTk6RSqXtyYiVJKlpYFaK8vJzr168zOjoqqF+ACDL88MMPefnll8Xtb731Fh9++CFWq1UcxfP5PI2NjajVatra2jh06BCyLFNXV4dOpyOfz1NVVcXKygqhUIhoNCrEAsPDw4RCIba3t2ltbRV5XMqM2mg0olKpSCQS3Lx5U/jp5vN5caS/m2WgdK0Pg72cukoo4VnHc1Vg74VH6YgUhEIhstksoVAIl8uFTqejo6ODsbExZmZmmJ6exuPxCKrV6uoqbrcblUpFd3e36Fy7u7uBHT6s8v+yLGMwGJAkSfiy7oXV1dV72jbG43GGhoZIJBK70lq7u7u5evWquAaAd955h3/7b/8tn3zyCVarlWQyic1mI5FI4HQ6CQQCjI2NYbVa2dzc5ODBg2g0GpaXl8UowmazYbVauXPnDjMzM0iSRG1tLRsbG8L6sNC43Gw2MzIywuXLl9na2uL1118nGo0WnQzgyfFcSyjhecELUWDv1dneC7lcDp/Ph8lkwuFwAMVHz2QySXl5OYODg8TjcXK5HKurqwSDQba3t8lkMiwsLPAbv/Eb4jFqtRq9Xl+UwyVJEm63m/X1dRobGx/ptSkz3qmpKXp6eoru6+np4c///M+FxwDsfMi89dZbnDt3DrvdLgIRDx48yPb2NrOzs2xvb1NZWYnJZMJgMOByuUSybCQSYXNzE7VaTXNzM8FgUIwRFB5voXG5Utz7+vrI5/Oiy1WpVCwsLGCz2R7pdZdQwouAZ07W+ovA+vo6165dY2pqikAgQFVVlTjGxmIxhoaGSKVS6HQ6GhsbCQaDrKysiFmmwm3dt29f0fMqblSFUArso8JoNOLxeJiamtp1n+JLUGg8A/Drv/7rhEIh1tbWMBqNNDc3s76+LhZZ8XgcnU5HJpMhmUwSiUTQ6/X09fXR39+Pw+EQHyZ6vZ5EIiEsGpWRgLLUK7zOo0ePUllZiSRJrK2tsb29zdra2iO/9hJKeN7xQnSwjwKDwYBGoyGbzRKPx8VMcGhoiE8//RSPx0MymSQQCBCNRgWPtJDFcHfh9Hg8u3xcXS7XLhnsw6K7u5uLFy+KXCwFtbW1aDQaIc9VoCzAcrkcwWCQ4eFhampq6O7uxuVyce3aNfx+P263W0hjFTZFVVUVHR0djIyMiHGIRqOhtbVVZJrl83kCgYDwfN1rnlqomCuhhC8qvpAdrNvtZv/+/XR1dYlgv0wmw8zMDC6Xi8rKSpLJpMi4amlpoaGhQaQeKPHXd6e8dnV1MT09XeRbWlVVRSwWeywv00OHDhGPx3fRtVQqFVVVVbtoYErBU6lUoktVaGdarZaamhoRwa3kkXm9Xra2tpienmZ2dpb5+Xm8Xi+ZTIa2tjai0SiBQIDl5WXW19ex2WxFI4JEIsGVK1cEi0Kr1QrFXAklfFHxhSmw2WyW9fV1stmsoFdls1ny+TzJZJLl5WVGRka4ffu2yNtqbm7mS1/6Ev39/cJxyuv1EggESCQSnDt3Thhfw87IIJPJFMljC7OtHhV9fX1oNJo9VWEul2tXJ63X61GpVBiNRvr6+jCbzWSzWT744APOnj2LJEk0NjZSX18vPjgU4+14PE4wGEStVuPxeNi/fz92u52KigrxITQ1NcXa2hpms1nQ4kZGRhgeHi4SP2QyGaamplheXn6k+JwSSnje8cKOCO52b1L4rtvb24yNjXHy5EnBa9VoNCSTSRKJBCMjI7z00ktCsWQ2m/F6vYRCIaqrq+nv78fr9ZLP57l8+TIjIyN0dXUJsQLsOGgpfFFlc15o97fXte41Y4Wdjf7CwgINDQ1cvHhRqKpgh5JWXl7O7OxskeAAECmuer2e7u5uZFlGrVYTj8fRarViDlteXo7FYmFtbY2rV6+Sy+U4efIkDQ0NQjJsMplE597Z2cni4iIul6voZ9zX1wfsLN5isRgmk4nl5WWGh4cxmUzodLoSzaqELxxe2AJ7NxSWwNmzZ8VS6Gtf+xp6vZ6zZ89y+vRpQqEQs7OzyLLM4OAgly5d4tVXXxV8USXe2ufzicI5NTXFkSNH6OjoQKfT4fF42NjYEAsw5ftqNBqam5v3vLbV1dVdFCwF0WhUpBD89V//NQaDQTynJEnU19dz5cqVIktB2Cm+Pp+Pc+fO8dWvfhWtVksgEGBhYQG73Y7dbqesrIzKyko0Gg3nzp1jampKULSU2anRaCSXyzExMUEqlRJxORsbG+L15HI5wuEwAwMDJJNJwUmuq6sjm81iNBofWyBQivEu4XnEC/+bKssysVhMzCtfeeUVTpw4wcmTJwFYWVnhRz/6EZOTk9jtdnp6evja175GeXk529vbfPzxxwQCAdra2sQ8UafT4XK5sNlsDA8PF32/3t5eRkdHRXdXUVGBRqPZM/7lYbB//34Abt26VXS7y+UiFosVeSDATgerkP0vXryIz+fD7/dTXl5OdXU1FosFl8slFn3t7e185Stf4Vvf+hYmk4nZ2Vmy2SyxWIyFhQXi8Th6vZ7e3t5d6QIrKyt8/PHHTE5OYjAYMJlMhMNhVCoVHR0d1NfXP7J/gMK3jUajTzzrq4QSnjZe+A62UOUFO4ufL33pS5jNZtLpNNeuXRPjgK9//euoVCra2toIBoPcuHFDLJDKy8upra0VC6GRkRH6+/t3Fdi+vj5OnTrFxsaGECQoi67Hgdvtpqqqilu3bvHGG2+I2wtdvAq5wGazGa1Wi81mIxAIMDs7S0dHB1qtlv3792O1WsUybGNjg8XFRQYGBrDb7SJWRkl+cDgc1NfX09zcLPixuVyOjY0NIV5YX1/H4XCILLJkMolKpXqksUChsYvSESu821KMdwnPE174Aqu8IXU6HZubm5hMJhFsePPmTbRaLYcPHxbJBIryanFxkWg0Kh7n8/k4ePAgTqeTq1evsrq6ytLSEuFwuGgW2dnZCcDMzIwoLuXl5UJK+6iQJIn+/n4+/vhjIVEFxDF9bGysaMygHMljsZjguMbjcaqrq4lEImg0Gm7fvo3H4yEUCuH3+/F4PEJ84fV6uXDhAolEgsbGRtra2tBoNOK1Fno4dHV1oVKpqK2tJR6Pk0qlikYZD4vC51aWhKXRQAnPI17431hF9650WclkEkmS2NraEkqr1157DaPRKLbiShCgSqXC5XIRjUbJ5XJIkkRnZycDAwPodDosFguxWEykycLPeZ+FCagGg6GIbfCoeOmll8hkMkVdc3d3NzabjQsXLhR9bVtbG5OTk+j1eg4cOEA2m2Vqaor5+Xnsdju3b9/mP//n/8wPfvADfD4farUar9fL4uIiqVQKl8slpL3pdHpXB+50OqmursbpdKLX69m/fz8VFRVUVVVRV1cnKHCPgsLnfhohiiWU8IvCY3WwkiT1ABlAJcvy3m4lzwgK3ZiUaGu9Xk9NTQ3xeJx0Oi1USEajkY6ODmF8kslkMBgM2Gw2tre38Xq9RcYrS0tLYulVVlaG1WrdVWCfBE2ppaWFiooKrly5Igxe1Go1R48eFbHdynW0tbWRTqdJpVL4/X6SySRer1fQvSKRiDAYz2QyQoZrNptJJBKUl5fT29uLVqsVrzUSiQjK1/z8vDgJFJq6PAlTlpKxSwkvCh65wEqS9A7wfwKXgF5Jkv5XWZZ/+sSu7Amj0FowFovh9XqJRqOk02mx6EkkEhgMBlQqFQ6HA6vVyuLiojA5icfjzM7O4vP5sFgsVFdXC2K+zWYTHZvb7WZmZkbwU2VZJpVKMTMzs+e15fP5onSCQlgslqKOtaGhgZs3b3Lx4kVqa2upr6+nq6uLDz/8kEuXLglPgkJjmUwmQ01NDWVlZdTX14vo7WPHjuFyuVCr1ajVakwmkwhDzOVyHDhwgMrKSsrKylCpVCI7bGNjgxs3boikh2g0Sj6fx+12/0INXT4Tb5SiZkt4ZvFIBfazFNk/Av4ZcBX4FvBlSZI+BKTPS5YtTP28l4vU4+J+b3Sj0UhdXR1bW1ui84rFYiSTSdbW1mhoaEClUtHU1ERlZSW5XI5IJML09DQrKytEo1EhWIAdyayS3QU7iQG3bt2iqakJQFCo7mX4Mj09fc9AxO3tbcGvBRgYGGB4eJj19XVhBP7666/z3e9+lzt37gh/AqUj3dzcJBaLsba2xoEDB2hvb+fy5cskEgmqqqqEjaIyJ15aWiIUCqHX68lmszQ2NorlmdKtJhIJuru7KSsrw2QysbKyIni3Cn4RCQSfnRIMn/d1JZTwy8KjDracwP8uy/IVeWfrMQf0sTMq+NzYblmWvyfL8oAsywP3KixPGgrdJ5/PI8sywWBQGJ/4/X6y2SzXrl3jxz/+sSD9ezwenE4nuVyOTCZDLpejoqKC7u5uOjo6OHz4MGVlZbv8B5QIGkUe+6AjglwuRywWu2/EdXV1NeXl5UVhiPX19Xg8Hq5cuSJuM5lMNDY2olKp0Ol0bG1tcevWLSYnJ5mbm+POnTucPn2ahYUFqqurqaysxG6343K56OrqoqenR1DRFIOXZDLJyMgI169fF14GShLE3a5Zv4gEgs/m3cnP+7oSSvhl4VETDX4qSVJhzvRNIKEkHUiS5H7WUmYL6VrRaFR0bfF4nNXVVcFVTSaTbGxsEIlEsNvtXLt2jfn5edra2qisrKSrq4uZmRlUKhWxWIyGhgZhsK2gvr6efD7PysoKzc3Nu5ZcStRLIpEgHo8TCoW4fPkyqVQKgJqaGt566609u3BJkujp6eHChQuC+ypJEi+99BJnzpwhl8uJzrqrq4vFxUWRMGswGITDViqVIhwOEwgExNZ/cnISWZZxOp3CI1ej0YgFk8Viob+/n4mJCeLxOMvLyzQ3N+9p9rJXAsGTFgvodDqARzd5KKGEp4yHLrCSJEnyDgp96DRArSRJanbGBf9EkqR/wk7RfSZy6QvpWtlsFrfbLRYpiUSCXC5HZWUldXV1yLLM3NwcbW1tvPzyyzQ1NaHT6djY2CAQCOB2u8UxfWFhYdcRWPFw9fl8IgFW6WBlWebs2bPk83mRdWUwGERUtt/vZ2VlhXA4fM94lra2Ns6fP8/Kyoq47eDBg/zoRz9ieXlZjCLa2to4e/YsarWabDZLeXk509PTlJWV0dfXRzQapbKyEo/Hw8jICEtLS9TW1iLLMn6/n+npaQwGA3V1dcJou6amBrfbLWJkFK/cRCIhfk6w96LqcZInHgaFI6gSSvhl4oEKrCRJHYADGALyQE6SpMJxQIKdMcHvAV8Fvi3L8jMluVHoPuvr6/h8Pqqrq0mn04yMjNDT08Pc3JzYnqvVaiwWi4jsPnLkiHCbymQy/OQnP2F0dFTEet8NhaOqjAh0Oh2yLJPP54XwIJVKiSyt6elpwWddX18Xc957FVjFizWTyYjblFm21+sVBVbp0GFnJhqJRAiFQsRiMY4ePYrD4aCqqopr166h0Wgwm810dHTg8XhwOByi687lckxOTrK9vU1NTQ0tLS1ivjw/P8/IyAjJZBKNRnNPyS/cO3kinU6Lgq0U6MeBLMvfA74HIEnSM/EBX8IXE59bYCVJehf4d4D3s/+GJEn6c1mWw0qRlWU5JUmSC3gP+PqzTNkqPLoODQ2JDf3Bgwcxm83U1NSIYqEkyCqF2GQyMTk5STAYJJFIoFKpUKvVu4qsUiSUdAPl70qBraur4+rVq8RisV3Ha6Wzu1v6WgilYy4cOyjsgcKuVinQ6XQas9lMV1cX2WyW6upqotEoKpVKeNWmUileffVVHA4HarUau92O0WgkFovx/vvv8/d///dUVVXR2dlJJpMRCQbpdJr29nY0Go3gAN9rFLBX8kQ+n2diYgKv1wtw3wJdQgnPG+5bYCVJ0gLfYKcjvSBJ0teBI8DvSZL0B7Isbxd8+fvAD2VZ3h2B+kuAUvSU4D9ly61WqwXfVXGAUuwAGxoaiiJflCXP3NwcgUBAxHbbbDZaWlrI5/PMzMwI2ahSTLa3d34sGxsb4vgMMDs7W+SPeuPGDaqrq0kkEoLCpXBZl5eXUavVGI3GXfQuhfQfDAZZWFgQj9PpdIyPj7OwsCCEELBTfD0eDxUVFbjdbtF5b29v09DQQDAYRKvVYjQaGR8fFybbChRf2IqKClwuF/X19aL4ajQaYRijzH4fZhQQj8fFgqxkzl3Ci4YHGRHYgDbgAvAPwCbwq8BvAP9RkqSXgKAsy//uqV3lY6Dwza50i5IkCSs/pavL5/Osr6/j9/upqKgQqbKDg4O0t7ejUqlYWVlhbW2NWCxGNptlbW1NdLIej0cUJaXQKB2xwpRobGzEZDIhyzJjY2OkUina2toYGxsrKi43btwQnW4ymRTyWwVKd2swGISUFHYYBsFgkKqqKlQqVdF4IJ/Ps7y8jMlkIp1Ok8vlqKqqIpvNYjKZmJ+fR61WEwqFaGho4NixY2LU8c1vfhOPx4PNZmNkZISamhqcTidzc3PU1taiUqmKCurDhFCaTCacTif19fUltVYJLxzu+xsty3KGHb7ru5IkHf9s5vopO6yBE5IkGYFjQOSpX+kjQgn2W1tbK5pZws5ya2Njg42NDeE3sLW1JYrp5cuX+dnPfsadO3fQarXCnLq+vp62tjZsNpugfRVCGQkorADl78qiS5Ik6urqWFlZ2ZO+ZTab7+satdeIAHYKrKLhh5+PCJRFltVqJRwO43A4OHToEJ2dnVRUVIgPDiXcMBKJiOtdWFjA7Xbz3nvv0dLSgsViIRKJcPnyZS5evMjS0hJms7ko3eBh5K0P87WFVLsSSnge8CAd7HmgA/jWZwyCc8APPtvUVsuy/N2neoWPCUmSCAaDzM3NoVKpxDJJUVZVV1cLiz2DwYDb7aayspKBgQFCoRAAV69eJZ1O43K5yOfzeL1e7Ha7sEG8G4q0VFlyKWOBwmJaX1/PxMTErrgX2Cmwe92u4F4Ftqamhps3b4qCb7fbgR02w759+9jY2CCVSmE2m/H5fGi1WuFFW1VVxYkTJ1heXubatWuMjY3hcrlEwW5ubqa1tZXp6WlGR0fFNSrKt72oWk8avygWQgklPCl8boGVZTkpSdJfATLwbyRJ6gRSQCVw703MM4S7A/hkWebmzZsi2qW1tRVJkigrK8NmsyFJEpWVlfT19bGwsCAs+xobG5mfnycWixEKhTAYDEKbX4i7O1hlZCDLMrIsc+vWLSGNVTrmQlgsFvF9lMcWQvn6u7tfg8Eg3KwKF0xer5dbt24hSZJgCyjBhaFQiFQqRU9PD2VlZdTU1JDL5QQVSwl7hJ9/YGxvbxONRonH46J4/yLwMKOHEkp4FvBAQy9ZloPAnwJ/AJwEXgfek2X53m3WMwQlgC+bzXLlyhW8Xi9+v1847c/MzOD3+xkdHRVFRKVS0dnZSXV1tXD/V6lU7N+/n97eXsFGMBqNotNVoBRF5SirWBUaDAYikQhXrlzBYrHw2muv0dXVtet6m5qakCSJO3f2JmMoo45CSpMsy5w5c4ZDhw4JGpeS3KBIfRWTm5WVFQKBADU1NbS3t2M0Gkmn02I+m81m+fTTT7l27Rqzs7Pk83my2SwbGxtUVVXR19fHwYMHaWtro6Gh4dH+UR4BJWetEp43PLDQQJblNPCxJEnndv76+ZLYZwGFLAJF5jk9Pc3m5iZut5vNzU2i0ShjY2P4fD7y+Tytra0YjUa0Wi2yLDM0NERHRwc1NTUYjUYcDgfT09OkUinRCRZCpVIhSZLoMP1+P5IkiVkwwLFjx+7pP2CxWGhqamJ2dpbW1tZd99892wW4efMmXq+Xb3/72+K2s2fPUlNTQz6fJxgM4nK5qKioQJIkkskk9fX1WK1Wrl27RlNTEz6fj/X1debm5shms2KMcvv2bcrLy0W3/dZbbwnprMPhEMbbe3XbJZTwRcZDK7kUOezzAFmW8fl84giv0LLa29tZWFjA4XDgdrsJhUJYLBampqZEdpXD4UCn07G2toYkSXg8HiRJEgU6GAwSDodRq9UkEgmSyWTRXFCtVhcVWKPRiCRJ+P1+4dZ1P3R1dTE/P8/MzIywJlSgFNhCy8TTp09jMBh47bXXgJ3u+ZNPPiGdTtPY2IjVasVgMLC1tYXb7cbpdKLT6TAajWQyGS5evCg4sg6Hg/7+fjY3N/F6vSKXa2ZmhoaGBrLZrHAmW1tbY25ujnw+j8vlIpFIlMyxSyjhM7zQiQbxeJxsNotGoxE82JdeeglZlunv7xdfp1CdlC28wWBAp9MxOTkpEmRdLpcYKYTDYSKRCBUVFYKTOjs7K4oO7CzXwuEw6+vreL1e1Go1t2/fZmFhAaPRWHT8TyQSTEzspg/b7XZmZ2e5ceNGUTFVDL5TqRShUEgU00OHDpFKpUilUiwvL+P3++np6aGvr4/a2lqy2SzBYJBMJoNWqyUUCnHhwgVmZ2eF94JarcZmsxGJRIRhTGVlJVNTU4TDYdLptPDUhZ15qELNisViwtrxbvOXEkr4IuKFLbCSJBUtRe7XUSljBKWrrKioEAYosixTUVFBIBAQvNFgMEgqlSIQCAiGgGLerUAp6jU1NUQiEbRaLVqtllgsRkVFRdHxfnV1tYjPqqC2tpbR0VFWV1c5fvy4uF3pjKuqqti3bx/Dw8MEAgH+8T/+x2LhpMxflegWJdrGbDYTiUQYHh7m5s2bBINBbDYbBw4coKWlBbPZjN/vp7Kykjt37ogirvjGNjQ0IEkSoVCIra0t6urqxEjlcXPHSijhRcMLfY570KWIQv9Jp9PY7XbGx8eJx+NEo1Fx7J+amuLjjz9maGiIZDJJLBajrKxMLJz2WnQpSy6/349OpyOVSpHJZLBarQ90/QoJ//r162IsAD/f5itd7alTp9BoNCIpF+DSpUu0traiUqnw+XxkMhnBWW1oaMBut2M2m0X6bCqVYt++fUQiETHOqKiowOFwkE6nSSaTwhkskUgwPj7O9evXWV5eFlE7ZrMZj8dTolCVUMJneGE72IeBsj33er34fD4mJydxu9309PSI2auyqMpkMiwsLBCLxTAYDIKTqpDzYWf+mcvlyOfzJJNJgsEg9fX1osN7mALU0NDA9evXGR8f58CBAwBChKAU2NOnT/PSSy8JYUEmk+HKlSsYjUYhvT169CgNDQ14PB62t7eprKwUSrCLFy9y5swZjEYj5eXl6HQ6wuEwsViMuro6Ghsb8Xg8hMNh7HY7gUCA6upqYIdFceXKFfr6+jAajaXiWkIJBSgVWBAhiMPDw7hcLpqamnC5XNjtdg4dOsTq6ipbW1usrq7idDpZXV1le3sbtVotDKUVdymAK1eukEgk2L9/PyMjI8BOUX2UOBVllFD42Lm5OcxmMw6Hg5WVFWZnZ/nN3/zNou+vzIglSSKRSGC32zl8+DCXL18WCQoGg4Evf/nLRCIRlpaWxNJvZGSE3t5eNBoNTU1N6PV68vk8Op2uSMbb2dnJT37yE/x+P7ATylhCCSX8HF/oApvL5USsSUVFBXV1ddTX1+NyuQgGgxgMBqanp0kmk/j9frxerzA2UeaQ4XAYl8slFGIA3//+96moqODNN9/kT//0T1GpVNhsNsFmuFuyez8o5jPK0iidTjM3N0dfXx8qlYrz588DcOLECfEYhVHQ3NyM3+9Ho9GwtrYm4l5qa2tpbm4WIYjf/va3GR0dxW638+Mf/5ilpSVSqRRf+cpXhHw2kUhw584dZmZmsFgsWCwWEokEmUxGcGML8aTNtUso4XnEF6bAFr7hlW7Q5/MJilFVVRWtra2CGbC2tobX6yUSiVBeXs7AwADRaBS73U4mk+HcuXMsLS1hMBg4fvy4eM7p6WnOnTvH7/zO76Cmd2JtAAAPi0lEQVTX6xkaGqKzs1MUZXi8Ajs7O0s2m6WjowOA8+fP43a7BV9WlmVOnz7N8ePH0Wg0YgnncDiYn58H4OjRo/T19bG8vEx3dzebm5u4XC7Gx8fRarWYTCa6urpEp37o0CHKy8tFjlkkEmF0dJTe3l4GBgZob28X4woli0tRlUFJ1lrCFxdfmAJbqGMvZBcoFKNkMimWPdFoVHR3Xq+XgYEB8vm84Ix2d3eztbVFMplkfHyco0ePMjY2hizLfO9730On09Hd3c3Vq1e5ceMGb731FktLS6KDDQQCRaT8bDa7K3ZGgVIg4/E4a2tr3Lx5E4PBgFqtJhAI8Omnn3Ly5Ekx3x0fH2d1dZX9+/fjdrvF42OxGEajUZi8KNHkXq+XyclJ8vk8drud+vp63G43gUAAlUrFzMwM5eXl1NfXi051fX0dq9VKW1sbGo2GfD4vxAZKFpfb7cZms5VkrSV8ofGFKbCFRVXpJHU6HZFIhOXlZdra2jCZTITDYWH6MjY2xsrKChqNhra2NiFcsFgsbG1tMTc3B8Drr7/O1NQU0WiUTz/9lLfffls8PpPJ0N/fL7wOZmZmBJFfwQ9+8IN7Xrfb7cZqtfLlL3+ZVCrF3/zN33DixAnefvttFhcXCYfD/Nqv/ZqIqfn+97+PSqUiEokwNjYm4mqSySQDAwP09fWh0+nQaDTC+GXfvn0ig+vgwYMEAgGam5vx+XyEw2G2t7f5y7/8S06ePCniZyoqKkTxVooqFBuaP6002RJKeF7whXkHFLrpK/EtIyMjXLt2DZPJhMlkEg5RLpcLh8NBS0sLDoeDrq4uzGYz6+vrxGIxbty4wdzcHMFgUMwzp6am+OCDD8jlcnzlK18B4Pbt20iSRFdXF7du3QJ2Nv+FlKvPQyqVErHfN2/eJJ1OMzg4CMDIyAiSJBXNX3/yk58wODiI1WqlqqqKzc1NZFkml8thMpk4f/68sBeUZZm1tTVOnjxJJpMhkUiwtbWF3W4X6rOtrS0CgQATExPU1tbypS99iXg8jsViYXR0lPb29l1F9e4srhJK+KLiC1Ng70YikaCqqor+/n5SqRQulwudTicc9qPRKLW1tfT09JBOp7l27RoGg0Ekz25vb6PT6cT8NZvN8tOf/pQjR46IbnJsbIyGhoaiGeTjFNihoSHKyspob28HYHR0lP3794v7vV4vt2/fprq6ms7OTpqbm1laWkKr1fLSSy8xNDREbW2tiHdRqVSsra1x9uxZent7cbvd1NfXs7y8zOLiIsPDw6yurnLs2DHeeecdXnvtNfFBNTMzw/j4OAC9vb1FKrYSSihhB1/YAms0GqmqqiKXyzE/P8/GxgYVFRVEIhGCwSBerxeXy8Xo6Cijo6NoNBpcLhcHDhwgHo8zNzfH1taWCBiMx+PEYjF6enrE9wiHw7sUWhqNZk+T7Xshl8sJI+tQKITH4xFb+XA4XGQVqHjIKqbgCme1p6eHmZkZAoEATqeTkydPotVqqaur+//bO/MgqaorDn+/Zmi2kWVgCInAOFqAbMaIS0REtFRk1ECpZTBEK4EoRiMRpTRSiTGLkopEC7cYNC4RMbFMJaUCxkooxEQJGkkUXAbQBDRB4rA4DJsyJ3+c222zlDBMv+6ezP2qurrf69fvd955r8879767ZOfkqqurY9SoUWzZsoV+/fqxYcMGBg0aRGVlJePGjaNLly7Zh39AdiaDTLDfsWMHtbW19O/fPzuaVyTS2mmVAXbjxo3Mnz+fmpoaqqqqsu06161bx9q1a6mqqqJHjx5s2rSJRYsWsW7dumyxevv27bs1tN+Tg2nr2hQOdP/vv/8+K1euZM2aNaTTaXr37k1FRQUTJ06kW7dubN68mYqKCsrKyli6dCnt2rVj1apVNDQ0UF1dzcCBA1m2bBnjx4+nrKwsO+1MZWVlNoutqKhg69atpNNpamtrWb58OcBeTbYikdZKqwyw8+fPZ+HChQBMmDCBvn37UldXl20p0KVLFyorK9m6dStmxpIlS0in09m++atXr85Ok12KdO7cOTvxYmVlJX369MHMGDFiBHV1ddkZHFKpFI2NjfTu3Zv6+no6depEOp2mY8eOzJs3jxUrVrBgwQLGjBmT3bZz587Z2QsaGhqyLTMymWzmPRKJtNIAW1NTs9t7ppdWz549GTx4MN27dyeVSrFt2zbq6+vp27cvixcvzjb1SqVS2W6ppUivXr2y4yBUV1dn64Tr6+uzdbqZB1EVFRVs3Lhxtzav5eXljBkzBoDRo0fTvn37bN1xproC9m6ZMXTo0MQz+EikJaE9J+wruAHSf4F/NeEnPfCZbfNNGfDxPtYLaAfsAroB24D2+EA5DUAa+BBoi8/AuwufXucQYBNQHr77IKxrE7R2AR3DbxX2nQr7TwGNOVoW1hnwEbA5/D4FdMAnnewI7Ay/MaA7sCHYtzVHs03YLkNmv5nhvQ78CdzuJHVe9keVme02cnmYL+6ysDgAeKuA9hTDD1EzOQaY2YGNzrQPih5gm4qkl83s2GhHtKMUKYYfombpasZO4pFIJJIQMcBGIpFIQrTEADu72AYEoh27Uyp2FJti+CFqlqhmi6uDjUQikZZCS8xgI5FIpEUQA2wkEmkyig2eD4gYYFsw8SKPFJHS7WlTQrSYACtpmKTD979l4nb0kZSW1CksF8WHkk4AhhdDew87SsIfpYKkIZIGSBq4/63zone6pFGS2ux/67xpjgbul7T3XPPJaQ6XdIGkMwqluYf+QV3XLeLPEE7ob/BeUZl1Bc/eJJ0NLADuAh6UNMDMGgsdVII/Hga2F1J3H3aUhD9KBUk1wGPAtcADks5KWK8tMAO4GTheUuJd3yWdAvwCuM/M1ietFzTPBB4CBgNPSBr56b/Ii+bZkn4gaYak7mbWeFA7MrOSfgGnAiuBU8Nyh/BeFt5TBbLjUGA5MAr4DDAN+A8wuMB2fDHoZvxRvodfErcD79rbB3it2P4olRdwLPAmcELwzyXArPA5EV+Efd8JPAc8DYzKrE/wOC8Dvhk+98JLUSMT1KsElgA1YXlauOb6Jah5AvAO8BXgXuAv4TjbNnVfLSHTOBP4B7BEUl/gDkl3AD+W1McO9s7SBCR1wPtAPw/UAuvNbCbwE+BZSf0LZMdhwAhgEfCBpCpgtqR7gV9J6meeQSaa3Ztfhf8GXsRvfkXxR4nRA7jZzP4a/PM2cBQeXBPxRdCZD9wE/BaYKmkKcHWCVQY7gWGSqoP2eOARSdMS0tsEvATslDQEmA5MAp6TdEVCmkOAZ81srpldjvv2OmAYNK26oGQDrKSTJY3FL5638WzgWeB1/I6yA5guqV2SASXYMBP4HFABfD1c2JjZrGDXdEntE7ZjNPBLYCGesUzF/bAEeAB4BbhL0iEZ+xKyo5+k4/DBZboBFxTDH6WGmT0D/DFn1d+BbWa2C0BSkvPoXGVmDwLvAbcDHTO6CfASPqDQBOARM5sC1ACTJY3Jt5iZfQRsAS4CHgdmmdnFwJfwJGtEvjXxY+wg6chgw23An4HbJXVt0g0zqTS7Gel5Cq9rXYFni+PxkZ5uA76ds91IvB4oSVtOwYt9o8NyX3zkr2tytjkMr5NKslh2Jv6HXYNnSQBTgEtztumNB9p0gnaMw0sTvwNuBH6Gj+x1RSH9UWqvfR0r0BV4FR+97GvAPPymlBe/ZPaDj5J2E3AiPmrYbOBPwPAEj/dHwFLgp3xSRTUDOC/POqmcz2ngKuC0nHV3EKpF8qzbM/yXrgJ65Ky/D7i+KfsqufFgze8OWyQ9jA+vdy5+R75GUrucTauAQyWVAw0WPJBnhgH3m9kfQvVEOfBd4B5J2/EL+cSwXVdgY74NkHQ6cA8wFi+Oz5c0DPg5/ufNcApwOJ8MW5hvO7oDk4GLzOz1MCTgMOBJYEaoRnkSOIkE/VEqSBqAl2hexoeW3CUptzpgG17yuh7PtiaZ2dZ86ZnZLkkys49DieJGYKyZPSXpSuDdgz64T9EEMLPvSdqJJxxTJG3BE6H7860Z1snMdoYS0SRJ7wInA6fjGXuzkdQm5/jWS7oTv5EgaZGZvQasxof2PPD9JhOXmo+ka/AT+BRwKV782WlmN0i6Gn+IcLGZrUjQhil4RjhT0gt4veNq/OSux7PZ4cDEcAKSsGE0UG9mL0jqip/0N8zsnnDhmaRLgSuBCUn5Q1IX/EHK981sYVj3e7wetgwP7o3A0SToj1JA0nnALfg1+R4eDB4ysw9zg6ykF/H2oueb2RtJ6IXvy/FxS//WjMNqkmbY5jTgCGAQMLs5x9gEzbl49WA/4DIze72Zmv3NrDZ8bpNz4zJJX8CTiq54YD0eGNekazupYkQe0vQjgO+Ez9fig0bfHZYfBIYUwIaheLHr13jdK0B/vDg0Nix3K5A/UuH9LGAdMDQsd8KLagMLYMPlwBzgYrxp0KN4YJ+Zs03XYl87CfugLd5k8KSwfD5wa/BHlz22nQ4cmaDeXr4mDy0WmnKM4fuyAvs1BRySB81zQlyZm7OuTa4f8YeX/fAWBdVN1SjZh1x4EWtAyM4ux59QHybpQry4tTxpA8zvVNPwZhvVYV0tXkeT6cmyKWk7gm5jeH8Gr2c7J9xxG/AbUbOyhwPkMbzd66l4s7AJZnY3MChk15hZQfxRZDrjfzrw+uin8QBxEXgnkJAZ3WJmbyaoNz7oHSvpaPjkOklQM3OMx0k6JnyfrwdqB+LXo82s0czqmyMk7xjzLeBqvIXCHADzDLYsx48fm9lK8xYF7zRZqLl3gSRfwA/xBzvnhuXTgD4FtqEMr454G28eMgkvuhxRRL+cjz/VbHbmcJD6uQ8fLgFeADoV+3op4PGfgdc3nxyW2+AZzlx8Cp+pwGcLrNerCMfYojXxlkHleJb6BDBnj+8/jwfh9hzkw8mSrYMF74YJ9LRQt7THQ4RC23IMcAE+P9dDVuQ6RkmPA9eZ2T+LaMNEPMP/crH9UUgktQe+gbdznWNmi8P6RXjpanVL1mtNmjna3fGS4TYz+6qko/Bs+nlrRo+1kmtFkIuZrQXWZiqdixVcgy2v4G1Ni0qOLy4sti14K4rFZraq2IYUEjPbLulR/MHHDaG95A6819GWlq7XmjRztOskTQZulfQWXs87sjnBFUq4FUEkUupISuPN0ibj40LMMrNl/y96rUkzR3sq3rTujHyUymKAjUSaibxbasFKWIXWay2akrrhvcWuNbNX87LPGGAjkUjEkdTezPI2Sl0MsJFIJJIQpdwONhKJRFo0McBGIpFIQsQAG4lEIgkRA2wkEokkRAywkUgkkhAxwEYikUhC/A9vDnfqzPyosQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 396x396 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(66.72682330486387, [[5.505676358752439, 5.825708672264156], [11.229534729622387, 12.762198680302788], [18.277639665544676, 23.67358742364209]])\n"
     ]
    }
   ],
   "source": [
    "# sampling H0, Omega_m within [0., 1]\n",
    "lower_limit = [0, 0.0]\n",
    "upper_limit = [150, 1.]\n",
    "\n",
    "mcmc_sampler = MCMCSampler(z_d, z_s, D_d_samples_run, D_dt_samples_run,\n",
    "                           sampling_option=\"H0_omega_m\", kde_type=kde_type,\n",
    "                           bandwidth=bandwidth, flat=True, lower_limit=lower_limit, upper_limit=upper_limit)\n",
    "walkerRatio = 100\n",
    "n_run = 400\n",
    "n_burn = 400\n",
    "mean_start = [70, 0.3]\n",
    "sigma_start = [10, 0.1]\n",
    "mcmc_samples_cosmo_wide = mcmc_sampler.mcmc_CH(walkerRatio, n_run, n_burn, mean_start, sigma_start, threadCount=1, init_pos=None, mpi_monch=False)\n",
    "\n",
    "corner.corner(mcmc_samples_cosmo_wide, show_titles=True)\n",
    "plt.show()\n",
    "print(prob_density.compute_lower_upper_errors(mcmc_samples_cosmo_wide[:, 0], num_sigma=3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing the MCMC...\n",
      "Number of walkers =  120\n",
      "Burn-in itterations:  200\n",
      "Sampling itterations: 200\n",
      "InMemoryStorageUtil does not support storeRandomState\n",
      "104.36709380149841 time taken for MCMC sampling\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 547.2x547.2 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# for fun we run a non-flat LCDM model\n",
    "mcmc_sampler = MCMCSampler(z_d, z_s, D_d_samples_run, D_dt_samples_run, sampling_option=\"H0_omega_m_omega_de\", kde_type=kde_type, bandwidth=bandwidth, flat=False)\n",
    "walkerRatio = 40\n",
    "n_run = 200\n",
    "n_burn = 200\n",
    "mean_start = [70, 0.3, 0.7]\n",
    "sigma_start = [10, 0.1, 0.1]\n",
    "mcmc_samples_cosmo_k = mcmc_sampler.mcmc_CH(walkerRatio, n_run, n_burn, mean_start, sigma_start, threadCount=1, init_pos=None, mpi_monch=False)\n",
    "\n",
    "corner.corner(mcmc_samples_cosmo_k, show_titles=True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing the MCMC...\n",
      "Number of walkers =  80\n",
      "Burn-in itterations:  200\n",
      "Sampling itterations: 200\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sibirrer/Software/lenstronomy/lenstronomy/Cosmo/kde_likelihood.py:43: RuntimeWarning: divide by zero encountered in log\n",
      "  logL = np.log(density)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InMemoryStorageUtil does not support storeRandomState\n",
      "84.92146921157837 time taken for MCMC sampling\n",
      "(68.66728509349068, [[4.858913746503582, 5.239770005271154], [10.128236290612385, 11.364278148422912], [16.216296491363607, 21.470561006396167]])\n",
      "68.66728509349068 4.858913746503582 5.239770005271154\n",
      "7.076024252143009\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 244.8x244.8 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# and what if we fix omega_m=0.3?\n",
    "\n",
    "mcmc_sampler = MCMCSampler(z_d, z_s, D_d_samples, D_dt_samples, sampling_option=\"H0_only\",\n",
    "                                    omega_m_fixed=0.3, kde_type=kde_type, bandwidth=bandwidth)\n",
    "walkerRatio = 80\n",
    "n_run = 200\n",
    "n_burn = 200\n",
    "mean_start = [70]\n",
    "sigma_start = [10]\n",
    "mcmc_samples_cosmo_1d = mcmc_sampler.mcmc_CH(walkerRatio, n_run, n_burn, mean_start, sigma_start, threadCount=1, init_pos=None, mpi_monch=False)\n",
    "\n",
    "\n",
    "import lenstronomy.Util.prob_density as prob_density\n",
    "samples = np.reshape(mcmc_samples_cosmo_1d, len(mcmc_samples_cosmo_1d))\n",
    "mean, [[lower_sigma1, upper_sigma1], [lower_sigma2, upper_sigma2], [lower_sigma3, upper_sigma3]] = prob_density.compute_lower_upper_errors(samples, num_sigma=3)\n",
    "print(prob_density.compute_lower_upper_errors(samples, num_sigma=3))\n",
    "print(mean, lower_sigma1, upper_sigma1)\n",
    "print(lower_sigma1/mean*100)\n",
    "\n",
    "corner.corner(mcmc_samples_cosmo_1d, show_titles=True)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add Plank and WMAP chains\n",
    "\n",
    "# add the WMAP and Planck chains and evaluate the angular distances as measured from the TDSL\n",
    "\n",
    "planck_cmap = \"Greens\"\n",
    "planck_color = \"green\"\n",
    "\n",
    "wmap_cmap = \"Blues\"\n",
    "wmap_color = \"blue\"\n",
    "\n",
    "\n",
    "#Planck 2018\n",
    "path2planck = '/Users/sibirrer/Science/Data/LCDM_posteriors/COM_CosmoParams_fullGrid_R3Planck18.00/base/plikHM_TT_lowl_lowE/base_plikHM_TT_lowl_lowE_1.txt'\n",
    "temp_planck = np.loadtxt(path2planck)\n",
    "\n",
    "#  4  omegak\t\\Omega_K \n",
    "#  23 H_0\n",
    "#  24 omegal*\t\\Omega_\\Lambda\n",
    "#  25 omegam*\t\\Omega_m\n",
    "\n",
    "num_samples = 2000\n",
    "\n",
    "H0_planck = temp_planck[0:num_samples,23]\n",
    "omegam_planck = temp_planck[0:num_samples,25]\n",
    "weights_planck = temp_planck[0:num_samples,0]\n",
    "weight_planck = np.zeros((num_samples))\n",
    "Dd_planck = np.zeros((num_samples))\n",
    "Ddt_planck = np.zeros((num_samples))\n",
    "for i in range(num_samples):\n",
    "    Dd_planck[i] = cosmoProp.D_d(H0_planck[i], omegam_planck[i])\n",
    "    Ddt_planck[i] = cosmoProp.D_dt(H0_planck[i], omegam_planck[i])\n",
    "    weight_planck[i] = weights_planck[i]\n",
    "\n",
    "#Planck 2018 Omega_k\n",
    "path2planck = '/Users/sibirrer/Science/Data/LCDM_posteriors/COM_CosmoParams_fullGrid_R3Planck18.00/base_omegak/plikHM_TT_lowl_lowE/base_omegak_plikHM_TT_lowl_lowE_1.txt'\n",
    "temp_planck = np.loadtxt(path2planck)\n",
    "\n",
    "#  4  omegak\t\\Omega_K \n",
    "#  23 H_0\n",
    "#  24 omegal*\t\\Omega_\\Lambda\n",
    "#  25 omegam*\t\\Omega_m\n",
    "num_samples = 1000\n",
    "H0_planck_k = temp_planck[0:num_samples,24]\n",
    "omegak_planck_k = temp_planck[0:num_samples,4]\n",
    "omegal_planck_k = temp_planck[0:num_samples, 25]\n",
    "omegam_planck_k = temp_planck[0:num_samples,26]\n",
    "weights_planck_k = temp_planck[0:num_samples,0]\n",
    "    \n",
    "weight_planck = np.zeros((num_samples))\n",
    "Dd_planck_k = np.zeros((num_samples))\n",
    "Ddt_planck_k = np.zeros((num_samples))\n",
    "cosmoProp_k = LCDM(z_lens=z_d, z_source=z_s, flat=False)\n",
    "\n",
    "for i in range(num_samples):\n",
    "    Dd_planck_k[i] = cosmoProp_k.D_d(H0_planck_k[i], omegam_planck_k[i], omegal_planck_k[i])\n",
    "    Ddt_planck_k[i] = cosmoProp_k.D_dt(H0_planck_k[i], omegam_planck_k[i], omegal_planck_k[i])\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "import myplots.triangle as triangle\n",
    "rc('axes', linewidth=2)\n",
    "\n",
    "def plot_angular_distances(ax, D_dt_samples, D_d_samples, extent, plot_cmb=True, thick_size=15, curvature=False):\n",
    "    cmap_tdsl = 'Greys'\n",
    "    color_tdsl = 'k'\n",
    "    \n",
    "    extent_zoom_curved = [[np.min(Dd_planck_k),np.max(Dd_planck_k)], [np.min(Ddt_planck_k),np.max(Ddt_planck_k)]]\n",
    "\n",
    "    extent_zoom = [[np.min(Dd_planck),np.max(Dd_planck)], [np.min(Ddt_planck),np.max(Ddt_planck)]]\n",
    "    #extent = extent_zoom\n",
    "    alpha = 1.\n",
    "    bins = 50\n",
    "    kwargs_hist = {'alpha': alpha, 'bins': bins, 'max_sample': 5000, 'alpha_off': True,\n",
    "                   'sigma2': True, 'filled': True, 'plot_lines': False}\n",
    "    idex = np.random.choice(len(D_d_samples), 20000)\n",
    "    C = triangle.hist2d_sigma(D_d_samples[idex], D_dt_samples[idex], ax, extent, cmap=cmap_tdsl, **kwargs_hist)\n",
    "    if plot_cmb is True:\n",
    "        sigma_inflate = 2\n",
    "        # we inflate the posteriors of the Planck chain to be seen in the graphics. This is only made to have a finite contour plot in comparision with the lensing results\n",
    "        delta_Dd = np.random.normal(loc=0, size=len(Dd_planck),scale=sigma_inflate)\n",
    "        delta_Dd_k = np.random.normal(loc=0, size=len(Dd_planck_k),scale=sigma_inflate)\n",
    "        if curvature is True:\n",
    "            C = triangle.hist2d_sigma(Dd_planck_k + delta_Dd_k, Ddt_planck_k, ax, extent_zoom_curved, cmap=wmap_cmap, **kwargs_hist)\n",
    "            C = triangle.hist2d_sigma(Dd_planck + delta_Dd, Ddt_planck, ax, extent_zoom, cmap=planck_cmap, **kwargs_hist)\n",
    "        else:\n",
    "            C = triangle.hist2d_sigma(Dd_wmap, Ddt_wmap, ax, extent_zoom, cmap=wmap_cmap, **kwargs_hist)\n",
    "            C = triangle.hist2d_sigma(Dd_planck + delta_Dd, Ddt_planck, ax, extent_zoom, cmap=planck_cmap, **kwargs_hist)\n",
    "    \n",
    "    ax.set_xlabel(r\"$D_{\\rm d}$ [Mpc]\", fontsize=thick_size)\n",
    "    ax.set_ylabel(r\"$D_{\\Delta t}$ [Mpc]\", fontsize=thick_size)\n",
    "    ax.xaxis.set_tick_params(labelsize=thick_size)\n",
    "    ax.yaxis.set_tick_params(labelsize=thick_size)\n",
    "    patch_list = []\n",
    "    patch = mpatches.Patch(color=color_tdsl, label='SDSS 1206 (this work)', alpha=alpha)\n",
    "    patch_list.append(patch)\n",
    "\n",
    "    if plot_cmb is True:\n",
    "        if curvature is True:\n",
    "            planck_patch = mpatches.Patch(color=planck_color, label=r\"Planck 2018 flat $\\Lambda$CDM\", alpha=alpha)\n",
    "            wmap_patch = mpatches.Patch(color=wmap_color, label=r\"Planck 2018 open $\\Lambda$CDM\", alpha=alpha) \n",
    "        else:\n",
    "            wmap_patch = mpatches.Patch(color=wmap_color, label=\"WMAP DR9\", alpha=alpha)\n",
    "            planck_patch = mpatches.Patch(color=planck_color, label=\"Planck 2018\", alpha=alpha)\n",
    "        patch_list.append(planck_patch)\n",
    "        patch_list.append(wmap_patch)\n",
    "    ax.set_xlim(extent[0])\n",
    "    ax.set_ylim(extent[1])\n",
    "    ax.legend(handles=patch_list, fontsize=15, handlelength=0.9, loc=3, frameon=True,\n",
    "              framealpha=0.5)\n",
    "    return ax\n",
    "\n",
    "\n",
    "def plot_H0_Om(ax, mcmc_samples_cosmo, extent=[[30, 100], [0, 1]], plot_cmb=True, thick_size=15, curvature=False):\n",
    "    cmap_tdsl = 'Greys'\n",
    "    color_tdsl = 'k'\n",
    "    \n",
    "    extent_zoom_curved = [[30,75], [0.1,1]]\n",
    "    extent_zoom = [[np.min(H0_planck),np.max(H0_planck)], [np.min(omegam_planck),np.max(omegam_planck)]]\n",
    "    alpha = 1.\n",
    "    bins = 100\n",
    "    kwargs_hist = {'alpha': alpha, 'bins': bins, 'max_sample': 5000, 'alpha_off': True,\n",
    "                   'sigma2': True, 'filled': True, 'plot_lines': False}\n",
    "    idex = np.random.choice(len(mcmc_samples_cosmo[:,0]), 20000)\n",
    "    C = triangle.hist2d_sigma(mcmc_samples_cosmo[idex,0], mcmc_samples_cosmo[idex,1],\n",
    "                              ax, extent, cmap=cmap_tdsl, color=color_tdsl, **kwargs_hist)\n",
    "    if plot_cmb is True:\n",
    "        if curvature is True:\n",
    "            C = triangle.hist2d_sigma(H0_planck_k, omegam_planck_k, ax, extent_zoom_curved, cmap=wmap_cmap, **kwargs_hist)\n",
    "            C = triangle.hist2d_sigma(H0_planck, omegam_planck, ax, extent_zoom, cmap=planck_cmap, **kwargs_hist)\n",
    "\n",
    "        else:\n",
    "            C = triangle.hist2d_sigma(H0_wmap, omegam_wmap, ax, extent_zoom, cmap=wmap_cmap, **kwargs_hist)\n",
    "            C = triangle.hist2d_sigma(H0_planck, omegam_planck, ax, extent_zoom, cmap=planck_cmap, **kwargs_hist)\n",
    "\n",
    "    ax.set_xlim(extent[0])\n",
    "    ax.set_ylim(extent[1])\n",
    "    #cmap=\"binary\", color='k', alpha=1., bins=100, weights=None, alpha_off=False, sigma2=False,\n",
    "    #             max_sample=None, filled=True, plot_lines=True\n",
    "    ax.set_xlabel(r\"$H_0 $[km s$^{-1}$ Mpc$^{-1}$]\", fontsize=thick_size)\n",
    "    ax.set_ylabel(r\"$\\Omega_{\\rm m}$\", fontsize=thick_size)\n",
    "    ax.xaxis.set_tick_params(labelsize=thick_size)\n",
    "    ax.yaxis.set_tick_params(labelsize=thick_size)\n",
    "    patch_list = []\n",
    "    patch = mpatches.Patch(color=color_tdsl, label='SDSS 1206 (this work)', alpha=alpha)\n",
    "    patch_list.append(patch)\n",
    "\n",
    "    if plot_cmb is True:\n",
    "        if curvature is True:\n",
    "            planck_patch = mpatches.Patch(color=planck_color, label=\"Planck 2018 flat $\\Lambda$CDM\", alpha=alpha)\n",
    "            wmap_patch = mpatches.Patch(color=wmap_color, label=r\"Planck 2018 open $\\Lambda$CDM\", alpha=alpha)\n",
    "        else:\n",
    "            wmap_patch = mpatches.Patch(color=wmap_color, label=\"WMAP DR9\", alpha=alpha)\n",
    "            planck_patch = mpatches.Patch(color=planck_color, label=\"Planck 2018\", alpha=alpha)\n",
    "        patch_list.append(planck_patch)\n",
    "        patch_list.append(wmap_patch)\n",
    "    ax.set_ylim([0.05, 0.95])\n",
    "    ax.legend(handles=patch_list, fontsize=15, handlelength=0.9, loc=3, frameon=True,\n",
    "              framealpha=0.5)\n",
    "    return ax\n",
    "\n",
    "\n",
    "def plot_1dhist(ax, samples, extent, thick_size, bins=50, label=\"\", unit_label=\"\", result_label=\"\", color='k', string_result=None):\n",
    "\n",
    "    bins = np.linspace(extent[0], extent[1], bins)\n",
    "    if string_result is None:\n",
    "        mean, sigma_list = prob_density.compute_lower_upper_errors(samples, num_sigma=3)\n",
    "        print(mean)\n",
    "        mean = round(mean, 1)\n",
    "        print(mean)\n",
    "        mean_string = str(mean)[:4]\n",
    "        sigma_low_string = str(sigma_list[0][0])[:3]\n",
    "        sigma_up_string = str(sigma_list[0][1])[:3]\n",
    "        print( (sigma_list[0][0] + sigma_list[0][1]) / (2*mean), \"error\")\n",
    "        string_result = \"$\" + mean_string+\"_{-\"+sigma_low_string+\"}^{+\"+sigma_up_string+\"}$ \"  \n",
    "    ax.hist(samples, bins=bins, normed=1, histtype='step', color=color, linewidth=3, label=label + \": \" + string_result + result_label)\n",
    "    ax.xaxis.set_tick_params(labelsize=thick_size)\n",
    "    ax.set_yticklabels([])\n",
    "    ax.set_xlim([bins[0], bins[-1]])\n",
    "    y_lim = ax.get_ylim()\n",
    "    delta_y = y_lim[1] - y_lim[0]\n",
    "    ax.set_ylim([y_lim[0], y_lim[1] + delta_y*0.2])\n",
    "    ax.set_xlabel(label + \" \" + unit_label, fontsize=thick_size)\n",
    "    ax.legend(loc=0, frameon=False, prop={'size': 20})\n",
    "    ax.set_ylabel(\"probability density\", fontsize=thick_size)\n",
    "    #legend(frameon=False)\n",
    "    \n",
    "    return ax\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1804.8683987893476\n",
      "1804.9\n",
      "0.25503328594103464 error\n",
      "5769.264294384286\n",
      "5769.3\n",
      "0.08896835594521264 error\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sibirrer/Library/Python/3.6/lib/python/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "thick_size=20\n",
    "extent_Dd = [0, 4000]\n",
    "extent_Ddt = [4000, 8000]\n",
    "extent = [extent_Dd, extent_Ddt]\n",
    "f, axes = plt.subplots(2, 2, figsize=(12, 12), sharex=False, sharey=False)\n",
    "plot_angular_distances(axes[1, 0], D_dt_samples, D_d_samples, extent, thick_size=thick_size, curvature=True)\n",
    "ax = axes[0, 0]\n",
    "plot_1dhist(ax, D_d_samples, extent=extent_Dd, thick_size=thick_size, bins=50, label=r'$D_{\\rm d}$', unit_label=\"[Mpc]\")\n",
    "ax = axes[1, 1]\n",
    "plot_1dhist(ax, D_dt_samples, extent=extent_Ddt, thick_size=thick_size, bins=50, label=r'$D_{\\Delta t}$', unit_label=\"[Mpc]\")\n",
    "\n",
    "ax = axes[0, 1]\n",
    "ax.set_visible(False)\n",
    "ax.set_frame_on(False)\n",
    "plt.tight_layout()\n",
    "plt.savefig('/Users/sibirrer/Science/Projects/STRIDES/Papers/J1206cosmology/D_dt_D_d_result_v2.pdf', format='pdf')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sibirrer/Library/Python/3.6/lib/python/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.25881615945736847\n",
      "0.3\n",
      "0.4880450037561975 error\n",
      "0.40812600935369037\n",
      "0.4\n",
      "0.8080322656218399 error\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "H0_result_narrow = r\"68.8$^{+5.4}_{-5.1}$\"\n",
    "H0_result_wide =r\"66.7$^{+6.1}_{-5.6}$\"\n",
    "thick_size=20\n",
    "extent_H = [40, 100]\n",
    "extent_Om = [0, 1]\n",
    "extent = [extent_H, extent_Om]\n",
    "\n",
    "f, axes = plt.subplots(2, 2, figsize=(12, 12), sharex=False, sharey=False)\n",
    "\n",
    "plot_H0_Om(axes[1, 0], mcmc_samples_cosmo_wide, extent=extent, thick_size=20, curvature=True)\n",
    "ax = axes[0, 0]\n",
    "plot_1dhist(ax, mcmc_samples_cosmo_narrow[:, 0], extent=extent_H, \n",
    "            thick_size=thick_size, bins=50, label=r'$H_0$', \n",
    "            unit_label=r'[km s$^{-1}$ Mpc$^{-1}$]', \n",
    "            result_label=r', $\\Omega_{\\rm m}$ [0.05,0.5]', color='k',\n",
    "           string_result=H0_result_narrow)\n",
    "plot_1dhist(ax, mcmc_samples_cosmo_wide[:, 0], extent=extent_H,\n",
    "            thick_size=thick_size, bins=50, label=r'$H_0$', \n",
    "            unit_label=r'[km s$^{-1}$ Mpc$^{-1}$]', \n",
    "            result_label=r', $\\Omega_{\\rm m}$ [0,1]', color='gray',\n",
    "           string_result=H0_result_wide)\n",
    "\n",
    "\n",
    "ax = axes[1, 1]\n",
    "plot_1dhist(ax, mcmc_samples_cosmo_narrow[:, 1], extent=extent_Om, thick_size=thick_size, bins=50, label=r'$\\Omega_{\\rm m}$', unit_label=\"\", result_label=r', $\\Omega_m$ [0.05,0.5]', color='k')\n",
    "plot_1dhist(ax, mcmc_samples_cosmo_wide[:, 1], extent=extent_Om, thick_size=thick_size, bins=50, label=r'$\\Omega_{\\rm m}$', unit_label=\"\", result_label=r', $\\Omega_m$ [0,1]', color='gray')\n",
    "\n",
    "\n",
    "\n",
    "ax = axes[0, 1]\n",
    "ax.set_visible(False)\n",
    "ax.set_frame_on(False)\n",
    "plt.tight_layout()\n",
    "#plt.savefig('/Users/sibirrer/Cosmology/Software/STRIDES/Papers/J1206cosmology/H0_omega_m_result.pdf', format='pdf')\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing the MCMC...\n",
      "Number of walkers =  80\n",
      "Burn-in itterations:  400\n",
      "Sampling itterations: 400\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sibirrer/Software/lenstronomy/lenstronomy/Cosmo/kde_likelihood.py:43: RuntimeWarning: divide by zero encountered in log\n",
      "  logL = np.log(density)\n",
      "/Users/sibirrer/Library/Python/3.6/lib/python/site-packages/emcee/ensemble.py:335: RuntimeWarning: invalid value encountered in subtract\n",
      "  lnpdiff = (self.dim - 1.) * np.log(zz) + newlnprob - lnprob0\n",
      "/Users/sibirrer/Library/Python/3.6/lib/python/site-packages/emcee/ensemble.py:336: RuntimeWarning: invalid value encountered in greater\n",
      "  accept = (lnpdiff > np.log(self._random.rand(len(lnpdiff))))\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InMemoryStorageUtil does not support storeRandomState\n",
      "157.04356813430786 time taken for MCMC sampling\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 396x396 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sampling H0, Omega_m within [0.05, 0.5] but only D_dt marginal constraints\n",
    "lower_limit = [0, 0.05]\n",
    "upper_limit = [150, 0.5]\n",
    "\n",
    "bandwidth = 2\n",
    "kde_type = 'scipy_gaussian'  # 'gaussian', 'epanechnikov'\n",
    "mcmc_sampler = MCMCSampler(z_d, z_s, D_d_uniform_samples, D_dt_samples_run,\n",
    "                           sampling_option=\"H0_omega_m\", kde_type=kde_type,\n",
    "                           bandwidth=bandwidth, flat=True, lower_limit=lower_limit, upper_limit=upper_limit)\n",
    "walkerRatio = 40\n",
    "n_run = 400\n",
    "n_burn = 400\n",
    "mean_start = [70, 0.3]\n",
    "sigma_start = [10, 0.1]\n",
    "mcmc_samples_Ddt_only = mcmc_sampler.mcmc_CH(walkerRatio, n_run, n_burn, mean_start, sigma_start, threadCount=1, init_pos=None, mpi_monch=False)\n",
    "\n",
    "corner.corner(mcmc_samples_Ddt_only, show_titles=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing the MCMC...\n",
      "Number of walkers =  80\n",
      "Burn-in itterations:  400\n",
      "Sampling itterations: 400\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sibirrer/Library/Python/3.6/lib/python/site-packages/emcee/ensemble.py:335: RuntimeWarning: invalid value encountered in subtract\n",
      "  lnpdiff = (self.dim - 1.) * np.log(zz) + newlnprob - lnprob0\n",
      "/Users/sibirrer/Library/Python/3.6/lib/python/site-packages/emcee/ensemble.py:336: RuntimeWarning: invalid value encountered in greater\n",
      "  accept = (lnpdiff > np.log(self._random.rand(len(lnpdiff))))\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "InMemoryStorageUtil does not support storeRandomState\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/sibirrer/Software/lenstronomy/lenstronomy/Cosmo/kde_likelihood.py:43: RuntimeWarning: divide by zero encountered in log\n",
      "  logL = np.log(density)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "154.02301001548767 time taken for MCMC sampling\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 396x396 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sampling H0, Omega_m within [0.05, 0.5] but only D_dt marginal constraints\n",
    "lower_limit = [0, 0.05]\n",
    "upper_limit = [150, 0.5]\n",
    "\n",
    "bandwidth = 2\n",
    "kde_type = 'scipy_gaussian'  # 'gaussian', 'epanechnikov'\n",
    "mcmc_sampler = MCMCSampler(z_d, z_s, D_d_uncorrelated_samples, D_dt_samples_run,\n",
    "                           sampling_option=\"H0_omega_m\", kde_type=kde_type,\n",
    "                           bandwidth=bandwidth, flat=True, lower_limit=lower_limit, upper_limit=upper_limit)\n",
    "walkerRatio = 40\n",
    "n_run = 400\n",
    "n_burn = 400\n",
    "mean_start = [70, 0.3]\n",
    "sigma_start = [10, 0.1]\n",
    "mcmc_samples_Ddt_only = mcmc_sampler.mcmc_CH(walkerRatio, n_run, n_burn, mean_start, sigma_start, threadCount=1, init_pos=None, mpi_monch=False)\n",
    "\n",
    "corner.corner(mcmc_samples_Ddt_only, show_titles=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
