{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Multi-planet Mode"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Estimate the intrinsic distribution of planetary systems by fitting a population of multi-planet systems to Kepler data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import EPOS\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "initialize the EPOS class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      " |~| epos 3.0.0.dev2 |~|\n",
      "\n",
      "\n",
      "Using random seed 493439428\n"
     ]
    }
   ],
   "source": [
    "epos= EPOS.epos(name='example_2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Read in the kepler dr25 exoplanets and survey efficiency packaged with EPOS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Loading planets from temp/q1_q17_dr25_koi.npz\n",
      "  6853/7995 dwarfs\n",
      "  3525 candidates, 3328 false positives\n",
      "  3040+1 with score > 0.90\n",
      "\n",
      "Observations:\n",
      "  159238 stars\n",
      "  3041 planets\n",
      "\n",
      "  1840 singles, 487 multis\n",
      "  - single: 1840\n",
      "  - double: 324\n",
      "  - triple: 113\n",
      "  - quad: 38\n",
      "  - quint: 10\n",
      "  - sext: 2\n"
     ]
    }
   ],
   "source": [
    "obs, survey= EPOS.kepler.dr25(Huber=True, Vetting=True, score=0.9)\n",
    "epos.set_observation(**obs)\n",
    "epos.set_survey(**survey)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the function that describes the intrinsic planetary system population. Here we use a double broken power-law from EPOS.fitfunctions to deinfe the location and size of the innermost planet in each system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.set_parametric(EPOS.fitfunctions.brokenpowerlaw2D)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "brokenpowerlaw2D takes 8 parameters. \n",
    "The two dependent parameters are the period and radius. \n",
    "There are 6 free parameters (xp, p1, p2, yp, p3, p4) and a normalization parameter. \n",
    "Let's define them:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The normalization parameter, labeled pps, defines the fraction of stars with planetary systems.\n",
    "Let's assign a planetary system to 40% of stars, and exclude negative numbers with the min keyword."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.fitpars.add('pps', 0.4, min=0, isnorm=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Initialize the 6 parameters that define the distribution of the innermost planets, fixing the radius distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.fitpars.add('P break', 10., min=2, max=50, is2D=True)\n",
    "epos.fitpars.add('a_P', 1.5, min=0, is2D=True)\n",
    "epos.fitpars.add('b_P', -1, max=1, dx=0.1, is2D=True)\n",
    "epos.fitpars.add('R break', 3.3, fixed=True, is2D=True) \n",
    "epos.fitpars.add('a_R', -0.5, fixed=True, is2D=True)\n",
    "epos.fitpars.add('b_R', -6., fixed=True, is2D=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "define the simulated range (trim) and the range compared to observations (zoom)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.set_ranges(xtrim=[0,730],ytrim=[0.3,20.],xzoom=[2,400],yzoom=[1,6], Occ=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Show the inner planet distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "EPOS.plot.parametric.panels(epos, NB=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the locations of additional planets in the system. Here, let's use 10 planets per system, with the spacing drawn from a dimensionless distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "epos.set_multi(spacing='dimensionless')\n",
    "epos.fitpars.add('npl', 10, fixed=True) # planets per system\n",
    "epos.fitpars.add('log D', -0.3)\n",
    "epos.fitpars.add('sigma', 0.2, min=0)\n",
    "EPOS.plot.multi.periodratio(epos, Input=True, MC=False, NB=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the mutual inclinations, drawn from  Rayleigh distribution with mode 2 degrees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.fitpars.add('inc', 2.0)\t\t\t\t# mode of mutual inclinations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Fraction of system with high mutual inclunations to fit the Kepler dichotomy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.fitpars.add('f_iso', 0.4)\t\t\t\t# Fraction of isotropic systems"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Add a dispersion to the radii of planets in each system"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "epos.fitpars.add('dR', 0.01, fixed=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate an observable planet population with the inital guess and compare it to Kepler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Preparing EPOS run...\n",
      "  6 fit parameters\n",
      "  Set f_cor to default 0.5\n",
      "\n",
      "Starting the first MC run\n",
      "  63695/356370 systems\n",
      "  Average mutual inc=2.4 degrees\n",
      "\n",
      "  356370 planets, 9647 transit their star\n",
      "  - single: 4632\n",
      "  - double: 1082\n",
      "  - triple: 456\n",
      "  - quad: 217\n",
      "  - quint: 81\n",
      "  - sext: 24\n",
      "  - sept: 6\n",
      "  - oct: 3\n",
      "  9647 transiting planets, 2145 detectable\n",
      "  - single: 1263\n",
      "  - double: 226\n",
      "  - triple: 87\n",
      "  - quad: 29\n",
      "  - quint: 7\n",
      "  - sext: 3\n",
      "\n",
      "Goodness-of-fit\n",
      "  logp= -160.4\n",
      "  - p(n=1548)=1.9e-58\n",
      "  - p(x)=3.5e-08\n",
      "  - p(N_k)=0.84\n",
      "  - p(P ratio)=0.027\n",
      "  - p(P inner)=0.0014\n",
      "  observation comparison in 0.044 sec\n",
      "Finished one MC in 0.475 sec\n"
     ]
    }
   ],
   "source": [
    "EPOS.run.once(epos)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Show the simulated detections"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "EPOS.plot.periodradius.panels(epos, NB=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And the detectable planet architectures, compared to the initial distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "EPOS.plot.multi.multiplicity(epos, MC=True, NB=True)\n",
    "EPOS.plot.multi.periodratio(epos, Input=True, MC=True, NB=True)\n",
    "EPOS.plot.multi.periodinner(epos, MC=True, NB=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simulated distributions are a bit different from what is observed. Let's minimize the distance between the distributions using emcee. (Note the counter doesn't work yet)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Loading saved status from chain/example_2/20x100x8.npz\n",
      "\n",
      "NOTE: Random seed changed: 3119675631 to 493439428\n",
      "\n",
      "MC-ing the 30 samples to plot\n",
      "Mercury analogues < 3.3% +1.2% -1.1%\n",
      "  1 sigma UL 3.9%\n",
      "  2 sigma UL 5.1%\n",
      "  3 sigma UL 12.2%\n",
      "Venus analogues < 0.9% +0.4% -0.3%\n",
      "  1 sigma UL 1.2%\n",
      "  2 sigma UL 1.6%\n",
      "  3 sigma UL 4.9%\n",
      "\n",
      "Best-fit values\n",
      "  pps= 0.57 +0.0583 -0.0365\n",
      "  P break= 10.8 +1.87 -1.39\n",
      "  a_P= 1.61 +0.246 -0.191\n",
      "  b_P= -1.3 +0.171 -0.107\n",
      "  log D= -0.345 +0.0311 -0.0343\n",
      "  sigma= 0.187 +0.0225 -0.019\n",
      "  inc= 1.92 +0.684 -0.67\n",
      "  f_iso= 0.418 +0.0635 -0.0459\n",
      "\n",
      "Starting the best-fit MC run\n",
      "  90776/565953 systems\n",
      "  Average mutual inc=2.3 degrees\n",
      "\n",
      "  565953 planets, 14997 transit their star\n",
      "  - single: 6926\n",
      "  - double: 1572\n",
      "  - triple: 783\n",
      "  - quad: 353\n",
      "  - quint: 133\n",
      "  - sext: 52\n",
      "  - sept: 20\n",
      "  - oct: 5\n",
      "  - nint: 1\n",
      "  14997 transiting planets, 3087 detectable\n",
      "  - single: 1743\n",
      "  - double: 354\n",
      "  - triple: 135\n",
      "  - quad: 34\n",
      "  - quint: 14\n",
      "  - sext: 3\n",
      "  - sept: 1\n",
      "\n",
      "Goodness-of-fit\n",
      "  logp= -13.7\n",
      "  - p(n=2277)=0.47\n",
      "  - p(x)=0.0014\n",
      "  - p(N_k)=0.94\n",
      "  - p(P ratio)=0.11\n",
      "  - p(P inner)=0.016\n",
      "\n",
      "  Akaike/Bayesian Information Criterion\n",
      "  - k=8, n=2336\n",
      "  - BIC= 89.4\n",
      "  - AIC= 43.4, AICc= 2.7\n",
      "  observation comparison in 0.083 sec\n"
     ]
    }
   ],
   "source": [
    "EPOS.run.mcmc(epos, nMC=100, nwalkers=20, nburn=20, threads= 8, Saved=True) # ~20 mins\n",
    "#EPOS.run.mcmc(epos, nMC=500, nwalkers=50, nburn=200, threads= 8, Saved=True) # ~20 mins\n",
    "#EPOS.run.mcmc(epos, nMC=1000, nwalkers=100, nburn=200, threads=20, Saved=True) # ~5 hrs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look at the posterior distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZYAAAEnCAYAAACKbmVGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjAsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+17YcXAAAgAElEQVR4nO3debyUdd3/8dcbEBBMRU0FSnBJBTWXNNPclxbxtm7BpczE0lxL+1nemalgmbnkUt3mlmKaKaCVoea+dKu5lQvgggqi4IKKKIIg+Pn98b0OzBlmzpk5Z+ZcZzjv5+MxjzNzXd/ruj4zHOZzvsv1/SoiMDMzq5VueQdgZmbLFycWMzOrKScWMzOrKScWMzOrKScWMzOrKScWMzOrKScWy52kXSSFpF0qLD9N0pgax1Dzc5p1VU4s1iJJI7Mv/ZC0a5kyj2T7n63hdfeWNKoG54mixxxJ90j6Sg3CrBtJP5P09SrKTyvxXpsea9czVrNiPfIOwBrGh8BBwD2FGyV9Btgm219LewNHAKNK7NsI+LiKc90NXAkIWBc4GrhF0lcj4rZ2xlkvPwOuA/5axTFPAeeU2P5uTSIyq5ATi1XqZmCEpGMiYkHB9m8BbwBTgE92RCBF16/ElIi4pumFpL+QvoR/CHTWxNIWrxW+z0pI6hMR8+oVkHVNbgqzSv0Z+ASpJlHom6S/rBcXbpQ0OGuGGVl8otb6M7J9R2TPC5t0BldyfGsi4mngLWC9FmLoKel0SY9Jmi1pvqSHJe1TomxIuljSVyX9R9KHkqZI+kaJsitLOjd7DwskTZf0K0m9Cs8H9AIOKXjv97b1/Rac97DsXDtJ+o2kN4A5BftXlXSepJclLcx+/lJSz6Lz9JJ0jqQ3JM2VdLukDSW9KunygnK/kLSoRBx7ZHHsULT985JulvRuwee9V5n3sH32ub2elb1V0qAS1/q8pAnZv+E8SU9LOjHbd1R2rs+WOO64bN+QKj5iy7jGYpWaAdxHag67AUDStsAGwJ+ALWp4rUuATwO7AQcXbJ9Vi5NL6gf0A15oodjKwJHA9cAVwIqk9/7XMk1oXwC+DlwM/AE4DLhG0hMR8Ux23RWBe0nNcZcCL5I+txOAjbPjIb3nK4B/ZeUg1Qpbs4KkNYq2zY+ID4q2XQS8A/wie59I6kP69/10ds2XgC2BE4ENgREFx19OqqmOzY7ZFriD9Bm1iaTdgFuBJ4CfAwuBbwB/l7RvRPyt6JDfAB8AZwBrkT7Dq4GdCs75JeDvwJvAb0m/wxsD+wBnk/4gOj97LycWnf9bwGNN/3ZWpYjww4+yD2AkEKQvzu8CC4B+2b7fAs9nz+8Fni04bnB23MgS55wGjCl4vUtWdpeCbRenX8+SMTU7vpX4AxgDrEFqqtsGuDPb/sMWYuoO9Co6V09gMnBHiWt8BAwp2LZW9lmdU7Dtp8C8wnLZ9qOzc+xYsO3DSt9jQfxR4vG7gjKHZdseBHoUHX8q6Yt6o6LtP8iO2S57vWX2+pKicmdn2y8v2PYLYFGJWPfIyu6Qve5GSvK3Ayr6N3gEeK7Ee7gb6Faw/UfZ9o0Kjp0GvAKsXnT9wmuMBV4tOtdG2bl+kPf/v0Z9uCnMqjGe9B9uhKQewP6k2kpndwiptvMm6YtqW9KggAvLHRARiyPry8maxVYj/XV/H/C5EofcEwV/3UbEG8CzNG9u2x94AJglaY2mBynRQaqhtcdjwJ5Fj9+WKHdpRBQ3Ue0P3A+8XRTbHUWxNTWFXlB0/PntiHsrYH3S79LqBdfuB/wD2FDSwKJjLo6IwgEc92U/mz7vbYBBwPkR8XbhgZFlj8xVwECgcMTjwcAiUo3G2sBNYVaxiJgj6WZSk9CrwJrAtflGBZI+SfoLtcnciJhb8HoCKYl8DLwOTI2I+RWc9zBSB/8Q0oiyJqXWmni5xLbZwGoFrzcENqd8k96arcXUircj4s7Wi/FiiW2fATah9dgGkT7HKYU7I+I1Se9XGmiRDbOfY1oosyapKatJ8ec9O/vZ9Hmvn/18upVr30ZqZvwWcJckkfoNb4uIN1s51spwYrFq/YlUcwF4JCKmlCnX0kI/3VvY1xaPkr7wmoym+TDlGRV+4S6RdbxfBtwEnEWq7SwCDiV98RRbXGIbNE9I3UhNOGeWKftqNTG2Q6mk2o1UOzm7zDGvZD9VZn8p5X4Hiv/9m1pOfkzqYymluD+stc+76WeLC05FxCJJfwIOl3Q0qTa6LnBSS8dZy5xYrFo3k0YS7Qwc10K5d7KfqxZuzEY/9a/gOtWsQHcQzTuOX6ri2HIOyM7z9cKmE0mHtuOcLwKfqDDJdfQKfC8BK1UQ2zRSIvgMsKTpT1J/0qjBQrOB7pJWKqpBDi4q11SDeq/aPwBa0JSINmNpU2M5VwH/D/gaqUnsPdIfFNZG7mOxqmT9DkeTagV/bqHc+6RmleK79Y+kshrLB7BkBFdrMT0QEXcWPGqRWJr+Il7yF7qk9YD/bsc5rwO2KTNkeUVJKxVs+oDUx9BRrgO2Kx7eC2nEmKS+2cubs5/HFxX7YYlzNn25L/kdkLQC2VDyAo+QEtuPJa1c4vptuT/qUVJz2Q+z/rHC8zWrdUXEU6Sa0neA/YBxlTSVWnmusVjVIqJsQilyCfAzSVeShs5uDexOuoekNY9lP38n6VZSM9TfY9mhs/VyE7AvcJOkm0gdvEcDz5P6SdriXGAYcKOka0hfqL1Io5D2B/YifU6Q3v8ekn5EaiJ7MyLubuN1K3FWdv2bJP0xu34v0vDc/UkDAR6LiH9L+jPwPUmrkjrNP0/q3J9ddM5bSU1oV0j6NWmU3EEUzZoQEYslfScrPyn7fZlOqtluT/rsl7nXpCXZOY8k/Ts+IekKYCapprUtBcOSM1exdADC1dVcy5blxGL1dAZpmO8BpC+ne0lDTSv5ghwHbJcd+w2WTsfSIYklIq6StCZwFCnmF0h/lW9AGxNLRMzP7tc4ETiQ9L7mkv5av4A0iqzJccDvSX1FfUlf4HVLLBExT2kS0P8hfeYHZbG9CJxHSqhNDiUNgjiYNErsAUr8u0bER0rznf2WVMN9i3QPzIOk0V6FZe/L7os6hVSrXYXUqf4Epaf1qeQ9/UNpfrtTSU1d3Umf9VUlil9Lmg5nJml0nLWDmo+8ayySugEPAy9HxIjWyptZ/Uh6FfhHRByWdyzVyppcXwfOjYiT846n0TV6H8tRlB46aWZWjUNIN8CWqs1YlRo2sWTNFPuydMoLM7OqSNpd0rGk5rIJEfF8a8dY63JJLNkkeDdJmqHyExUeLWmq0oR+j0vasajIOaT22GqmTzczKzSa1If0FGlwhtVAXjWWlYCJpA7KZYb1STqAdKf0L0lzEz0I3CppnWz/TqSZGR7ssIjNrEUR8alG61+JiB0iomdE7BIRr7R+hFUi9857SXOBYyNiTMG2h4GnIuLwgm1TgPERcZKknwDfJ03815t0Y9Z1EfHdKq/duCMXzMxyFhElZ2LodH0sSms/fI4002mh20lj2omIX0XEwIgYTBq2eWu5pCJplMos2VrHt2Fm1mV1xvtY1iCNNy9ef+IN0lj5qkTEKMqMg29KLnnX2szMGknR5AXL6HQ1lgLF3/YqsY2IuLeae1gKazDtDdDMzJbVGRPLW6R5mtYu2r4mla2i16KIGBURKtc2aGZm7dPpEktELAQeJ81NVGhP0ugwMzPrxPK6j2UlSVtI2iKLYZ3s9TpZkfOAkZIOkzRE0oXAANJyte29tpvCzMzqKJfhxtlkd/eU2HVVRIzMyhxNmqyvP+melx9GRE0nh3PnvVnnt3DhQmbOnMmCBQv4+GPfD11v3bp1o1evXgwYMICePXuWLNPUeV+uSyH3+1jy5MRi1rktXLiQl19+mUWLFuUdSpfTo0cPBg0aVDK5OLEUkTQKOK1wW1f7DMwaxbRp05g/fz59+vRh4MCBdO/evdWhrtZ2EcHixYuZMWMG8+bNY8UVV2Tw4MHLlGstsXS6zvt686gws8axYMECAAYOHEiPHj2cVOpMEj169GDgwIHA0s+/Wl0usZhZ42jqU+nevZLVrK1Wmj7vtvZpdbnE4lFhZo3HNZWO1d7Pu8slFjeFmZnVV5dLLGZmyxNJjB8/Pu8wmnFiMTOrg5EjR7L33ns32zZhwgT69OnDySefnFNUHaPLJRb3sZhZHq6++mqGDx/OmWeeyRlnnJF3OEssWrSo5rdcdLnE4j4WM+toF154IYcddhiXX345xx133JLtV155JUOHDqV3795suOGGnH/++c1GYknid7/7HcOGDaNPnz4MGjSIa665psVrzZgxgwMPPJB+/frRr18/hg0bxpQpU5bsHzVqFJtuuiljxoxh/fXXp1evXnzwwQc1fb9dLrGYmXWkU045hZNOOokbb7yRgw8+eMn2yy67jJ/+9KecfvrpPPPMM/z617/mrLPO4qKLLmp2/GmnncY+++zDE088wfe+9z2+/e1v89hjj5W81rx589h1113p3bs39913Hw899BD9+/dnjz32YN68eUvKTZ06lWuvvZZx48bx5JNP0rt375q+58640JeZWYue2XhI2X1rjx5NvwP2B2D29WN5/bTTypYd8uwzS55P3Xc4H06e3Gq5atxxxx3cfPPNTJgwgWHDhjXb9/Of/5yzzz6bESPSclLrrrsuP/nJT7jooos49thjl5Tbd999OeKIIwA4+eSTueeee7jgggtK1lyuu+46IoIrr7xyyZDhSy65hDXXXJMJEyaw//7pc1m4cCFXX301a621VpveV2ucWMzM6mTTTTdlzpw5jB49mi9+8YusuuqqAMyaNYtXXnmFI444gqOOOmpJ+VL9Hdttt90yr2+++eaS13v88ceZOnUqn/jEJ5ptnzdvHi+++OKS15/61KfqllSgCyaWUnOFmVljqbQG0e+A/ZfUXlqz7o03tCekkvr3789NN93Ebrvtxh577MEdd9xBv379lvSjXHzxxWy//fY1u97HH3/MFltswXXXXbfMvtVWW23J8759+9bsmqV0uT4Wd96bWUcaOHAg9957Lx988AG77747b7/9NmuttRYDBw7kxRdfZIMNNljmUehf//rXMq+HDCndFLjVVlvxwgsvsMYaayxzzsLEUm9dLrGYmXW0/v37c++997Jw4UJ222033nrrLUaNGsXZZ5/N+eefz3PPPcfEiRP54x//yJlnntns2BtvvJHLLruMKVOmcOaZZ3LXXXdx/PHHl7zOQQcdxFprrcXXvvY17rvvPqZOncr999/PCSec0GxkWL05sZiZdYC11lqLe+5J6xvuuuuu7LPPPlxxxRVcffXVbL755uy4445ceumlrLvuus2OGzVqFDfccAOf/exn+f3vf8+VV17JNttsU/Iaffr04f7772e99dZjv/32Y+ONN+aQQw5h9uzZ9OvXr+7vsUmXW4+lkBf6Muvcnnkm9aWUa/pZ3kli3LhxS0aOdaSWPnuvx2JmZh2qyyUWT+liZlZfXW64cUSMAkbB0qYwM7POqFGb6btcjcXMGk+jfsE2qvZ+3k4sZtZpdeuWvqIWL16ccyRdS9Pn3fT5V8uJxcw6rV69egFpxt56TO9uzUUEixYtYsaMGcDSz79aHm6Mq9lmndXChQt5+eWXWbRoUd6hdDk9evRg0KBB9OzZc5l9rQ03dmLBicWsM1u4cCEzZ85kwYIFzdYqsfro1q0bvXr1YsCAASWTCjixtMiJxcyser5B0szMOlSXSyy+QdLMrL7cFIabwszMquGmMDMz61BOLGZmVlNdbq6wUmbOzDuCthswIO8IzMyac2IBLrww7wja7qyz8o7AzKw5JxZg0qS8IzAzW344sQDbbVe/c+97dfmV7/697Wimbbg/AIOfH8tWD59WtuyNBz+z5PmuNw+n3zuTAZh+xE6sc8klNYrWzKz9nFiAJ56o37n3bWHfK6/CE/PS8+7vwFYtlC2M8QvzoGn16g/uu7+dEZqZ1ZbvYwGGDWvMz+CcF1JtaMizz7RS0sysdlq7j6VhayySHgT6At2BsRFxelvPtckmNQurY72QdwBmZstq2MQCfCUi3pPUHfg/STdFRJsatVZeucaRmZl1YQ2bWCLivexpz+zRZoce2v548jDvnf3o2yfvKMzMmsulj0XSTsCPgM8BA4BDI2JMUZmjgR8D/YFJwPER8c+iMg8DQ4GLIuJ/2hCH5wozM6tSZ50rbCVgInAcML94p6QDgAuBXwJbAg8Ct0pap7BcRGwLDAS2kLRpvYM2M7PW5T4qTNJc4NjCGktWE3kqIg4v2DYFGB8RJ5U4x/8AiyPi3BL7RgHlbxChcWss8yemOztX3LRRRx+YWSPqrDWWsiT1JDWR3V6063Zg+6zMqpLWyJ73Br4EPFvqfBExKiJU6lG/d9Expo0YwbQRI/IOw8ysmc7Yeb8GaQjxG0Xb3wD2yJ6vBoyTtAIpOY6NiAkdF6KZmZXTGRNLk+L2KTVti4iXSLWaqlXSNGZmZm3X6ZrCgLeAxcDaRdvXZNlaTNUKm8baey4zM1tWp0ssEbEQeBzYs2jXnqTRYe3iNe/NzOorl8QiaSVJW0jaIothnex103Di84CRkg6TNETShaT7XS5u77VdYzEzq68297FIWiEiPmrj4VsD9xS8Hp09rgJGRsT1klYHfka6QXIisFdEvNzWeM3MrGNUdB+LpB8AMyLihuz1H4BDgBeBfSLiubpGWUOlOu99H4uZWeVau4+l0sTyAvCdiLg/m47lZuC7wHCgb0TsXbOIO5CndDEzq16tps0fCEzLnv8XMC4ixkp6Gvhn2aPMzKzLqbTz/j3gk9nzPYG7sucfAb1rHZRV5rVTTuW1U07NOwwzs2YqTSy3A5dlfSsbALdm2zcBptYjsHpZnoYbvztuHO+OG5d3GGZmzVSaWI4BHiBNtzIiIt7Jtm8F/LkegdWLhxubmdVXRX0s2aJa3y+x3VOjmJlZMxXVWCQtlrRmie2rS1pc+7DMzKxRVdoUVq7ZqBewsEaxdIjlqY/FzKwzarEpTNL/y54GcGS2KFeT7sCOlFkHpbOKiFHAKFh6H4uZmdVOa30sTf0qAg4jzTrcZCHp3pYjax+WVaL30KF5h2BmtoxK77y/B9g3ImbXP6SO4zvvzcyqV5MpXZZXTixmZtWr1ZQuSDoA2J204FazTv+I2KftIXYsryBpZlZflTaFnQMcT5rqfiZFywZHxKF1ia7OGr3G8szGQwAY8uwzOUdiZl1JrWos3wa+ERHjaxSXmZktpyq9j6Ub8EQ9AzEzs+VDpYnlUuBb9QzEzMyWD5U2ha0KfFPSnsBTpOnyl4iIH9Q6MDMza0yVJpahLG0K27hoX0P1fC+Po8KuvTbvCNrum9/MOwIzqzXfx0Ljjwob0b1xR4VNmpR3BGZWrdZGhVXax2Kd0NqjR3OxRucdhplZM5Xex3JTS/sb6QbJQo1eYwHYe2/Yds5YRswq37r34w2W1miOe2U4n1owuWS5f628HzeseToAAz+cxPGvjih7zgs+NZ4ZvTcBYPibp/KF90qvZPlqr6Fc+Okblrw+54Uhzfb33Xkn1rnkkrLXMbPOp1b3sbxd9HoFYHPg08CNbQ3O2m/11aHvYmBWy2Wa9JhZvlzvXkvLrvIB8Gr5squsCh/2zY6bU75cj+7Nr88Lzfd/cN/95Q82s4bUrj4WSb8G3s+mom84y0ON5bbb8o6g7dY5zjMHmDWims0VVsYlwP+RrW9iHW+zzfKOoO1aqOiYWQNrb2LZqCZRWJsNGJB3BG234mgPPDBbHlXaef+b4k1Af+CrwBUR8f1lj+r8loemMDOzjlaT9Viyhb4KfUzqLr6blFgWtS/MjlPqBkknFjOzynmhrxa4xpKv2dePBaDfAfvnHImZVaOmiUVSb2AD0jQuL0bEhzWIMTdOLPnyejJmjakmd95LWiFb7Gs28CTwNDBb0tmSVqhRrGZmthyodFTYWcA3gCNJw4sBdgTOJCWnH9U+NDMza0SVJpZvAt+JiFsKtr0oaRZwOU4sZmaWqXQSylWAF0tsf5G0VouZmRlQeWJ5Eii1mNdxeMliMzMrUGlT2InALdkKkg+RRoVtBwwg3SRpZmYGVDHcWNIA4BjSCpICJgMXRUQL8+V2bh5ubGZWPd8g2QInFjOz6rVrdmNJm5KGFB8UEe8V7VsFuAY4MSIqusNN0k6kEWSfIzWjHRoRY4rKHA38mDQX2STg+Ij4Z7VlrDGccUbeEbTPySfnHYFZ59NaH8sJwFPFSQUgIuZI+g/pC/47FV5vJWAi8Mfs0YykA4ALgaNJ98scDdwqaWhETK+0jDWGqfsOZ6cZMGGXG1ovbGYNo8WmMEnPAwdGxL/L7N8SGBsRn6n6wtJc4NjCGoukh0mJ7PCCbVOA8RFxUqVlqojBTWE5aprSZf61jTuly1Zb5R2BWcdr70Jfn2bZZYkLvQN8qk2RFZHUk9REdm7RrtuB7SstY43n1lvzjqDtnFjMltVaYnkXWB94ucz+z2RlamENoDvwRtH2N4A9qijTTKlp8q1zWdW32JotV1pLLPcBx5PWXSnleOD+mkaU7pEppBLbKimTCkaMoszSyU1NYZav3X47hEW77sdHh58OgF6aRO+fjShb/sNfjCfW2wSAFS47lR73jCtZ7uPBQ1nwy6X9Nyt+c0jZcy787mgW756m7+9+11h6/qH83yKN3HRn1hFau/P+V8CXJP1F0raSVskeX5D0V1It4Vc1iuUtYDGwdtH2NVlaQ6mkTIskjZIUTir567vzTkuef/ghzJqVHrNbqQPPfndp2Q9bWLhh0aKl5WbNavmc789dWu79uS2XbSrX/cThTN13eMuFzbqgVu9jkbQ3cAWwetGut4HDIuKmNl24fOf9kxHxvYJtzwM3FHXet1imihjceZ+z227LO4K2W+c4rydjXVN7O++JiAmSBgFfIS3yJeB54PaImFdlMCtl54BUW1pH0hbAO9lQ4fOAqyU9AjxAmqZ/AHBxwWkqKWMN4u5yjawNYGTeAZh1UhXNFRYR84G/1OB6WwP3FLwenT2uAkZGxPWSVgd+Rrr5cSKwV0QsGTxQSZmWuDPfzKy+PKULbgrLk5vCzBpPu5vCzOpps83yjqDt5uQdgFkn1eUSi5vCOpd77807grbbMu8AzDqpShf6Wm5ExKiIULkqnFml3tpqP1bdb7+8wzDrdKruY5HUm6KEVO3osM7CfSxmZtVrrY+lohqLpEGS/ibpPeAD4P2iR8PwDZJmZvVVUY1F0j+B3sDvSHe4NzsoIhpybI9rLNYe8ydOAmDFTTfJORKzjlWTFSSzu+S3qXRBr0bhxGLt0TTtv4cbW1dTk6Yw4EngkzWKyczMlmOVJpbvAadJ+pqk9SWtU/ioZ4C15j4WM7P6qvQ+lm6kGYT/QvP+labp6rvXOK66KZxG38nFzKz2Kk0sVwGzgP+iROe9mZlZk0oTy8bAFhHxfD2DMWtE//u/eUfQdscck3cEtjyqtI/lEWDdegZiZmbLh0qHGx9A6pf4NfA08FHh/oj4dz2Cq4dSc4V5uLG1he9jsa6qVvexfNzC7oiIhum8L+T7WKy9Zs7MO4L2GTAg7wisEdVq2nw3g5mZWUW80BeusVjbvHbKqfzfA3DPxqfnHUqbXXRR3hFYI6rZQl+SvgocA6wHfDkiXpF0GDA1Iu6qQaxmDeXdcePYFBi7euMmFrN6qCixSDoIuBi4HNgdWCHb1R04EXBisS7rpJPyjsCsc6m08/5J4MyIuE7S+8DmEfGSpM2B2yNirXoHWiseFWa10jQJZZPeQ4ey7o03lN1faO3Ro+l3wP4AzL5+LK+fVn5R08JJLqfuO5wPJ08uWW7V/faj/89T7Wn+xElMGzGi7DkHjx/v0WzWZrVqCvsM8FCJ7XOBldsUWU48pYvVSt+dd+KD++5f8nrePPh3wcD7FVs4dvp0mJqV7T4derZQtvCcveaVv/nsrbfgtaysXkrrXJTz7LMQC2GrrVooZNZGldZYXgCOiog7imoshwInRMSm9Q60Htx5b+3VyHfdb3T3qWwylCW1HLNK1arGcinwm6yzHuDTknYEzib769+sK+rXL+8I2m7gpHG8O8mJxWqvosQSEWdLWgW4g1TDvgdYAJwbEQ38N5uZmdVaxcONI+JkSWcAQ0nNvJMjYm7dIjNrAKuvnncEZp1PpcONrwCOi4j3gccKtvcFfhsR36lTfGad2mab5R1B283JOwBbblVaYzkE+AnwftH2FYFvA04s1iU9/XTeEbRdQy39ag2lxcQiaTXSKpEC+klaVLC7OzCMtPCXWZf0yU/mHYFZ59NajeUt0mqRAZS6Kysoutmwsyt1g6RZV/Tx4KH0WKGxZ2j27MydU4v3sUjamVRbuRsYDrxTsHsh8HJENOyvpe9jsfb6d8OsRFTa2mvnHUH7OLHko1brsQwCpsdy9g3sxGJmVr3WEkulSxMPBj5fcNKRkv5P0iWSVmpvkGZmtvyoNLFcAKwNIGkj4BLgKWA74Jz6hGZm9fTMxkNanCjTrK0qTSzrk9a6h9TXckdEHA0cDvxXPQIzM7PGVGliCdLwYkjrsfwje/464HuPzcxsiUoTy6PAKZIOBnYEbs22DyYlFzMzM6DyxHI8sCXwO+CMiHgx274f8GA9AjMzs8ZU0XDjsgdLvYHFEfFR7ULqOB5ubF1ZU8f9/GufaaVk5+WFyvJRk+HGki6QtMxiXhHxYaMmFTMzq49KJ6HcBviBpMeAy4HrIuK9egQkaSfgR8DngAHAoRExpqjM0cCPgf7AJOD4iPhnPeIxW16tPXo0c+bAKg1+9711PhXVWCLii8AQ0gJfpwEzJf0xm/Kl1lYCJgLHAfOLd0o6ALgQ+CWp3+dB4FZJnqzVrAr9Dtifnnvvn3cYthyquo9FUjdgL9JU+cOA6cAfgEsj4p2Wjq06OGkucGxhjUXSw8BTEXF4wbYpwPiIOKnK87uPxcysSrWa0qXQCsDKwCqke1umAwcD0yV9s21hVkZST1IT2e1Fu24Htq/ntc2WN7OvH8vs68fmHYYthypemljS1qRayoHAPOAq4LCImJrtPw44H7i2DnE2WYOUzIrXgHkD2KOO13dRcgUAAA/PSURBVDVb7rx+Wlo94qIXGrc57OST847ASql0VNjTpL6MTwMjgUERcXJTUslcC3TUskfFbVcqsS3tkEZJilKP+odpZtb1VFpjGQtcEREzyhWIiFm0rWmtGm8Bi8kmxCywJmVWsoyIUcCoUvucXMz8V7/VXqWjwn5emFQk9chjuvyIWAg8DuxZtGtPKpwBoLAGU+v4zMys9TXvdwdWj4ixBdt+QqoB9JB0J3BgRLxbq4CyhLVB9rIbsI6kLYB3ImI6cB5wtaRHgAeAI0n3u1xcyfkLazBOLmaNvQqm77zvnFqrsfwE+FTTC0mfJ90/cjVwIrA5UOuK9NbAf7LHisDo7PnpABFxPWnusp8BTwA7AHtFxMuVnNw1FjOz+mptzfvXgWER8Xj2+hxgu4jYIXu9H/CLiNioI4KtNd/HYl1Z01xhQ55t3LnCLB+t3cfSWuf9qsCbBa+/CNxS8PpRYGA74jOznAx59hn22IOGHqh/5515R2CltNYU9hpp9Ugk9SJNofJQwf5PAAvqE1p9uCnMzKy+WmsKu4jU5/ETYB/gW8CAbHQWkg4CfhAR23ZArDXnpjAzs+q1tynsVOBG4E5gLnBIU1LJfAe4o/1hmllHm7rvcADWvfGGnCOx5U1Fk1BKWgWYGxGLi7avlm1fWPrIzs01FuvKmjrvi6263370//npAMyfOIlpI0aUPcfg8eNZcdNNAHjtlFN5d9y4kuV6Dx3aLIGVuzak6fz7HZCmmZl9/dglU8+U0nfnnVjnkkvK7rf6qMkklBExpzipZNvfabSk4j4Ws6TvzjvlHUK7rHHMMU4qnVS7liZudK6xmJlVrx7T5puZmZVV8bT5Zrb8aeTpXHr9dDh9+njwQWfU5Wos7mMxWz50mzaZDydPzjsMK8F9LLiPxawReUqa/LiPxczMOpQTi5mZ1ZQ77826sGuvzTuCttsy7wCsrC5XY3HnvZlZfbnzHnfemzWi1045FWDJ9DPWcVrrvHdiwYnFzKwaHhVmZmYdyonFzBrS/ImTmD9xUt5hWAluCsNNYWaNqOkGyekXNuYNkl/+ct4RtJ2bwop4VJiZWX25xoJrLGaNyFO65Mc1FjMz61BOLGZmVlNOLGZmVlNOLGZmVlOehNLMGtLg8ePzDsHK8KgwPCrMzKwarY0Kc43FzBrW3nvnHUHbTZiQdwT10+X6WHyDpNny4bVTTmX4m6fmHYaV4KYw3BRm1oh8g2R+fIOkmZl1KCcWMzOrKScWMzOrKScWMzOrKScWMzOrKd/HYmYNqffQoXmHYGV4uDEebmxmVg0PNzYzsw7lxGJmZjXVkIlF0k6SbpI0I5ueZWTeMZlZx3pm4yFL7r63zqUhEwuwEjAROA6Yn3MsZmZWoCFHhUXELcAtAJLG5BuNmZkVasjEYmbWpKk57MHNR/P84P0B2HDaWLZ/8rSyx4z52tKJK/e+dzhrzJncYpl62Hzzup4+V43aFFaxwmnyix95x2Zmbdd3553yDsHKaPj7WCTNBY6NiDFtONb3sZiZVcn3sRTxQl9mZvXV5RJLRIyKCJXLtGZm1j4N2XkvaSVgg+xlN2AdSVsA70TE9PwiMzOzhuxjkbQLcE+JXVdFxMhWjh0FNBsu0oifgZlZXlrrY2nIxFIr7rw3M6ueO+/NzKxDdbnE4lFhZmb15aYw3BRmZlYNN4WZmVmH6nKJxU1hZmb15aYw3BRmZlYNN4WZmVmHasg772utKfuamVn7dbkai/tYzMzqq0v3sXQESdHIE146/nw5/vw0cuyQb/xdrsZiZmb15cRiZmY15cRiZmY15cRiZmY15cRiZmY15cRiZmY15cRSf6PzDqCdHH++HH9+Gjl2yDF+38diZmY15RqLmZnVlBOLmZnVlBOLmZnVlBNLHUjaSdJNkmZkE16OzDumakg6SdKjkt6TNEvS3yVtmndclZJ0jKSnsvjfk/SQpGF5x9UWkn6a/Q79Lu9YKlE4yWvB4/W846qGpP6Srsp+9z+UNFnSznnHVQlJ00p8/iHp5o6Mw4mlPlYCJgLHAfNzjqUtdgEuArYHdgMWAXdKWi3PoKrwKvA/wFbA1sDdwF8lfTbXqKok6QvA4cBTecdSpeeA/gWPzfINp3KSVgUeAAQMA4YA3wfezDOuKmxD889+KyCAsR0ZhNdjqYOIuAW4BUDSmHyjqV5EfLnwtaSDgTnAF4G/5xJUFSLib0WbTpZ0FLAdDfIlLWkV4E/Ad4FTcw6nWosioqFqKQVOBF6LiG8XbJuaVzDViohZha8lfRd4DxjXkXG4xmKV+ATpd2V23oFUS1J3SQeSapEP5h1PFS4FxkfE3XkH0gbrZc3AUyVdJ2m9vAOqwteBhyVdL+lNSU9IOlYNuBpgFvN3gWsiYl5HXtuJxSpxIfAE8FDegVRK0maS5gILgIuB/46Ip3MOqyKSDgc2AE7JO5Y2eBgYCXyV1Iy3NvCgpNXzDKoK6wFHAy8BXyb97v8KOCbPoNpoT2Bd4PKOvrCbwqxFks4DdgB2iIjFecdTheeALYBVgeHAVZJ2iYiJ+YbVMkkbAb8EdoyIhXnHU62IuLXwtaR/kb6kDwHOyyWo6nQDHouIk7LX/5H0GVJiaYgBFAUOBx6NiCc6+sKusVhZks4HvgHsFhEv5R1PNSJiYUS8EBFNXxJPAD/MO64KbAesAUyUtEjSImBn4Ojsda98w6tORMwFJgGfyTuWCr0GTC7a9gywTg6xtJmkNYGvAZflcX3XWKwkSRcCBwK7RMSzecdTA92ARvhS/ivwWNG2K4EppJpMQ9ViJPUGNgbuyTuWCj0AbFS0bUPg5RxiaY+RpGbg6/K4uBNLHUhaidRGDukLbR1JWwDvRMT0/CKrjKT/BQ4mdWTOlrR2tmtu9hdopybpV8DNwCukgQffJA2h7vT3skTEu8C7hdskfUD63enUzXgAks4ljRycDqxJ6ifqC1yVZ1xVOJ/UJ3QycD2wJfAD4Ke5RlWFrNP+MOC6iHg/lxg8CWXtSdqF0n+hXRURIzs2mupJKvdLMToiRnVkLG2RDfHeldRxPIc0xPiciLgtz7jaStK9wMSIODbvWFoj6TpgJ1Jz3izgX8ApEVHcvNRpZTfT/pJUc5lO6lv5bTTIl6WkXUn3bm0bEY/kEkODfFZmZtYg3HlvZmY15cRiZmY15cRiZmY15cRiZmY15cRiZmY15cRiZmY15cRiDUfS4Gzxoq3zjsXMluXEYp2OpDEFK999JOklSedK6ptzXA2Z0CRtLulvkl7PVkScLukGSYNqdP5Rkjr9rADWcTyli3VWd5KmlVkB2JE09Xdf4Kg8g+rMJK0QER8VbfskcBdwG2lKm7eBQdnzlTs8SOsSXGOxzmpBRLweEa9ExLWk1RS/XqpgtpjXH7KFpeZLmiLpREndCsqMkTRB0nHZIlSzJV0pqU9BGWXHvZid52lJ3yq4VNNKgo9mNZd7s+M2k3SXpPckvS/pyWxajZIk3SvpYkkXZnHMlnROUbw9JZ0l6VVJH0h6VNKXC/bvksWwl6RHJC0krR9S7ItAP+DQiHg8IqZFxH0RcWLT+jSS7pbUbEp4SStLmidp3+z1vpKeyj6XdyTdJ2ktSSOB04BNCmqZI7NjVpF0qdKCWe9nx2xdcI2RkuZK+qqkZ7Pr3ZQdNyL7d5wj6WpJK5b7PK3zcY3FGsV8Uu2llG7ADGB/0vxUnyetwPg28IeCcjuSpkXfA/g0aR3w54Ezs/2/AEaQ1t54jjSF/WWSZkfEzdl5HwG+AjzJ0pmGr81efx5YRFrj/cNW3s9BwJjsGp8lTW/+GkvXLLkSWJ80gearwF7A3yVtExFPFpznLOAE4AWg1ISDr2efzwhJfy4z39VlwP9KOiEiFmTbvgHMza65NmmW3JOAG0ircX4hK3c9sCmwN2miT4A52USIN5PmatsbeIe0JsvdkjaKiNeysr2y+A8CembnH0/6/IYDqwM3khbf+nWJ2K0zigg//OhUD9IX7oSC158H3gKuz14PBgLYuoVz/Aq4s+icrwA9CrZd1lSG1Mw2n7TAVuF5LgBuaem6pDXFD6ni/d1LSmgq2PYz4NXs+frAx8A6Rcf9Fbgoe75LFsvwCq53BvARaWnp20kz9Q4q2N8r+3wPLNj2MHBu9nyr7FqDypx/FGmSzMJtu5ES04pF258ATsyej8zOu1HB/nOBxcAa5X4f/Oj8DzeFWWf1layZ5EPSksj3A98vV1jSkZIekzRLaUniH7Ls4kyTI2JRweuZpKndAYYCvYF/ZNedm53nKNIXfUvOAy7PmpROlrRxBe/vX5F9a2YeAgZKWpn0RS5gclEsw0rEUrx2yzIi4mTSTM/fA54mrYM+WdLu2f4FwNXAdwAkDSUl8yuyUzxJ6vOamHX6H5X13bTkc0AfYFbRe9i06D0siIjnCl6/AbweEW8VbVsTaxhuCrPO6n7SF+FHwMwo6pQuJOkAUs3iR8CDpBrEMcB/FxUtPkewtJ+x6ed/kaZKb+m45ieJGCXpT6R13r8MnCbpyIi4oqXjWtAti22bEteeX/T6g0pOGBFvA+OAcZJOAv5DWivlrqzI5cBTktYhJZ6HIpvqPiIWS/oSqfnrS9n+MyXtHM2b5Yrfwxuk5sdi7xU8X1S0L2j538kagBOLdVbzIuKFCsvuADwcEUs6oCW1VssoNpm04t6giLi7TJmmPpXuxTsiYgpplcffSPo9aaGllhLLtpJUUGv5AimBvifpP6Qay9oRUfOVFyNioaQXgQEF2yZJepi0Tvq3gJOLjglSreohSaeTlhs+gKV9TcWfyb+BtYCPo8GWtbb2c2Kx5cHzwEhJXyV1Yh9IWid+dqUniIj3lVY/PDfreL6fpZ3UH0fEpcCbpBrDlyVNI3UwLyT1C4wDppG+THcg9VG0ZABwgaSLSJ39PyYNHiAins9qQGMknUD6kl6N1K/yUkTcWOn7krQ36fO4jqxfh1Qr24s0mqvQZcDFpBrD9QXn+AJpwMNtpFrIlqTBD02Ld00DBknailTbe5/UdPYA8DdJJwLPkprjvkLq1/pnpe/BGo+rl7Y8uIQ0wuta4FFSJ3tbRhCdQuqI/hHpL/I7SCOTpgJk/TM/INVGZgJ/I3U09yMtvfsc8BfSX/b/r5Vr/Yn0V/7DpC/0P5CWxW1yKGlk2NmkL+UJpJUZq117fTKpE/1cUvPXI6QayY9IqyQWup6UKMdG8yVt55CGLU8g1cp+Dfw8Iq7J9t8A3EJqVpsFfCOr4exFWsnwMtJnM5a0KuPMKt+DNRivIGnWwdRJlxqWNIBU49g5Ih7IOx5rXG4KM+viJK0A9CcNS/6Pk4q1l5vCzOyLpCa2bUmd92bt4qYwMzOrKddYzMysppxYzMysppxYzMysppxYzMysppxYzMysppxYzMyspv4/rkDDlwbie2kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "EPOS.plot.periodradius.panels(epos, MCMC=True, NB=True)\n",
    "EPOS.plot.multi.multiplicity(epos, MCMC=True, MC=True, NB=True)\n",
    "EPOS.plot.multi.periodratio(epos, MCMC=True, MC=True, NB=True)\n",
    "EPOS.plot.multi.periodinner(epos, MCMC=True, MC=True, NB=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Save the planet populations to a csv file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "popdict= dict(all_systems=epos.population, \n",
    "              transiting_systems= epos.population['system'],\n",
    "             transiting_planets= epos.synthetic_survey)\n",
    "\n",
    "for key, pop in popdict.items():\n",
    "    fname= 'csv/'+epos.name+'_'+key\n",
    "    EPOS.save.to_csv(fname, starID= pop['ID'], Period_days= pop['P'], Radius_earth= pop['Y'])"
   ]
  },
  {
   "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
